TSTP Solution File: NUN054+1 by Vampire-SAT---4.9
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.9
% Problem : NUN054+1 : TPTP v8.2.0. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d SAT
% Computer : n020.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 : Mon Jun 24 13:33:19 EDT 2024
% Result : Theorem 2.19s 0.72s
% Output : Refutation 2.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 462
% Syntax : Number of formulae : 1505 ( 64 unt; 0 def)
% Number of atoms : 5729 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 7866 (3642 ~;3612 |; 169 &)
% ( 424 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 430 ( 429 usr; 425 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 1 con; 0-2 aty)
% Number of variables : 3055 (2956 !; 99 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5267,plain,
$false,
inference(avatar_sat_refutation,[],[f130,f134,f138,f142,f146,f150,f154,f158,f162,f166,f170,f177,f182,f186,f190,f194,f198,f208,f212,f216,f220,f224,f228,f232,f236,f246,f269,f273,f277,f281,f285,f289,f302,f306,f310,f314,f318,f322,f326,f354,f358,f362,f366,f385,f389,f393,f397,f423,f427,f439,f443,f447,f460,f464,f468,f472,f476,f499,f503,f507,f517,f521,f525,f529,f533,f537,f541,f545,f549,f553,f557,f613,f617,f621,f625,f629,f633,f637,f641,f645,f649,f715,f719,f723,f727,f731,f783,f787,f791,f795,f799,f803,f807,f811,f815,f819,f891,f895,f899,f903,f907,f911,f915,f994,f998,f1013,f1017,f1021,f1025,f1059,f1063,f1067,f1113,f1117,f1121,f1125,f1129,f1133,f1137,f1141,f1145,f1149,f1153,f1157,f1280,f1284,f1288,f1292,f1296,f1300,f1304,f1374,f1378,f1382,f1386,f1390,f1394,f1398,f1402,f1406,f1410,f1427,f1431,f1448,f1452,f1456,f1460,f1464,f1472,f1476,f1480,f1484,f1488,f1530,f1546,f1550,f1554,f1558,f1562,f1582,f1586,f1603,f1607,f1626,f1630,f1639,f1641,f1645,f1649,f1653,f1657,f1661,f1665,f1681,f1700,f1704,f1708,f1716,f1722,f1726,f1730,f1734,f1738,f1742,f1746,f1778,f1837,f1841,f1845,f1849,f1868,f1872,f1876,f1880,f1884,f1888,f1892,f1896,f1900,f1904,f1908,f1912,f1916,f1920,f1924,f1928,f1932,f1936,f1940,f1944,f1948,f1952,f1956,f1989,f2078,f2082,f2086,f2090,f2094,f2098,f2102,f2106,f2110,f2114,f2118,f2122,f2126,f2130,f2134,f2138,f2142,f2326,f2330,f2334,f2338,f2342,f2346,f2350,f2354,f2358,f2362,f2366,f2370,f2374,f2383,f2387,f2391,f2395,f2399,f2403,f2407,f2411,f2415,f2419,f2423,f2427,f2431,f2435,f2439,f2443,f2447,f2451,f2455,f2459,f2464,f2468,f2472,f2476,f2480,f2484,f2488,f2492,f2496,f2528,f2843,f2954,f2958,f2962,f2966,f2970,f2974,f2978,f2982,f2986,f2990,f2994,f2998,f3002,f3006,f3010,f3014,f3018,f3022,f3026,f3030,f3034,f3038,f3042,f3046,f3050,f3054,f3548,f3552,f3556,f3560,f3564,f3568,f3573,f3577,f3581,f3585,f3589,f3593,f3597,f3602,f3606,f3610,f3614,f3618,f3622,f3626,f3630,f3634,f3638,f3642,f3646,f3650,f3654,f3658,f3662,f3666,f3670,f3674,f3678,f3682,f3686,f3690,f3694,f3698,f3702,f3706,f3710,f3714,f3718,f3722,f3840,f4117,f4246,f4250,f4254,f4258,f4262,f4266,f4270,f4274,f4278,f4282,f4286,f4290,f4294,f4298,f4302,f4306,f4310,f4314,f4318,f4322,f4326,f4330,f4334,f4338,f4342,f4346,f4350,f4354,f4358,f4362,f4366,f4770,f4870,f4874,f4880,f4884,f4888,f4892,f4896,f4900,f4904,f4908,f4912,f4916,f4920,f4924,f4928,f4932,f4936,f4940,f4944,f4948,f4952,f4956,f4960,f4965,f4969,f4973,f4977,f4981,f4985,f4989,f4993,f4997,f5001,f5005,f5009,f5013,f5017,f5021,f5025,f5029,f5033,f5037,f5041,f5204,f5258,f5259,f5260,f5261,f5262,f5263,f5264,f5265,f5266]) ).
fof(f5266,plain,
( ~ spl20_167
| ~ spl20_424 ),
inference(avatar_contradiction_clause,[],[f5249]) ).
fof(f5249,plain,
( $false
| ~ spl20_167
| ~ spl20_424 ),
inference(resolution,[],[f5203,f1634]) ).
fof(f1634,plain,
( r1(sK1(sK19))
| ~ spl20_167 ),
inference(avatar_component_clause,[],[f1632]) ).
fof(f1632,plain,
( spl20_167
<=> r1(sK1(sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_167])]) ).
fof(f5203,plain,
( ! [X0] : ~ r1(X0)
| ~ spl20_424 ),
inference(avatar_component_clause,[],[f5202]) ).
fof(f5202,plain,
( spl20_424
<=> ! [X0] : ~ r1(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_424])]) ).
fof(f5265,plain,
( ~ spl20_168
| ~ spl20_424 ),
inference(avatar_contradiction_clause,[],[f5250]) ).
fof(f5250,plain,
( $false
| ~ spl20_168
| ~ spl20_424 ),
inference(resolution,[],[f5203,f1638]) ).
fof(f1638,plain,
( r1(sK2(sK19))
| ~ spl20_168 ),
inference(avatar_component_clause,[],[f1636]) ).
fof(f1636,plain,
( spl20_168
<=> r1(sK2(sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_168])]) ).
fof(f5264,plain,
( ~ spl20_26
| ~ spl20_424 ),
inference(avatar_contradiction_clause,[],[f5251]) ).
fof(f5251,plain,
( $false
| ~ spl20_26
| ~ spl20_424 ),
inference(resolution,[],[f5203,f245]) ).
fof(f245,plain,
( r1(sK3(sK19))
| ~ spl20_26 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f243,plain,
( spl20_26
<=> r1(sK3(sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_26])]) ).
fof(f5263,plain,
( ~ spl20_266
| ~ spl20_424 ),
inference(avatar_contradiction_clause,[],[f5252]) ).
fof(f5252,plain,
( $false
| ~ spl20_266
| ~ spl20_424 ),
inference(resolution,[],[f5203,f2463]) ).
fof(f2463,plain,
( r1(sK3(sK3(sK19)))
| ~ spl20_266 ),
inference(avatar_component_clause,[],[f2461]) ).
fof(f2461,plain,
( spl20_266
<=> r1(sK3(sK3(sK19))) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_266])]) ).
fof(f5262,plain,
( ~ spl20_2
| ~ spl20_424 ),
inference(avatar_contradiction_clause,[],[f5253]) ).
fof(f5253,plain,
( $false
| ~ spl20_2
| ~ spl20_424 ),
inference(resolution,[],[f5203,f133]) ).
fof(f133,plain,
( ! [X0] : r1(sK4(X0))
| ~ spl20_2 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f132,plain,
( spl20_2
<=> ! [X0] : r1(sK4(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_2])]) ).
fof(f5261,plain,
( ~ spl20_63
| ~ spl20_424 ),
inference(avatar_contradiction_clause,[],[f5254]) ).
fof(f5254,plain,
( $false
| ~ spl20_63
| ~ spl20_424 ),
inference(resolution,[],[f5203,f524]) ).
fof(f524,plain,
( ! [X0] : r1(sK5(X0))
| ~ spl20_63 ),
inference(avatar_component_clause,[],[f523]) ).
fof(f523,plain,
( spl20_63
<=> ! [X0] : r1(sK5(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_63])]) ).
fof(f5260,plain,
( ~ spl20_4
| ~ spl20_424 ),
inference(avatar_contradiction_clause,[],[f5255]) ).
fof(f5255,plain,
( $false
| ~ spl20_4
| ~ spl20_424 ),
inference(resolution,[],[f5203,f141]) ).
fof(f141,plain,
( ! [X0] : r1(sK6(X0))
| ~ spl20_4 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f140,plain,
( spl20_4
<=> ! [X0] : r1(sK6(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_4])]) ).
fof(f5259,plain,
( ~ spl20_3
| ~ spl20_424 ),
inference(avatar_contradiction_clause,[],[f5256]) ).
fof(f5256,plain,
( $false
| ~ spl20_3
| ~ spl20_424 ),
inference(resolution,[],[f5203,f137]) ).
fof(f137,plain,
( ! [X0] : r1(sK7(X0))
| ~ spl20_3 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f136,plain,
( spl20_3
<=> ! [X0] : r1(sK7(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_3])]) ).
fof(f5258,plain,
( ~ spl20_13
| ~ spl20_424 ),
inference(avatar_contradiction_clause,[],[f5257]) ).
fof(f5257,plain,
( $false
| ~ spl20_13
| ~ spl20_424 ),
inference(resolution,[],[f5203,f181]) ).
fof(f181,plain,
( r1(sK19)
| ~ spl20_13 ),
inference(avatar_component_clause,[],[f179]) ).
fof(f179,plain,
( spl20_13
<=> r1(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_13])]) ).
fof(f5204,plain,
( spl20_424
| ~ spl20_56
| ~ spl20_414 ),
inference(avatar_split_clause,[],[f5063,f5003,f470,f5202]) ).
fof(f470,plain,
( spl20_56
<=> ! [X0] :
( ~ r1(X0)
| r1(sK3(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_56])]) ).
fof(f5003,plain,
( spl20_414
<=> ! [X0] :
( ~ r1(X0)
| ~ r1(sK3(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_414])]) ).
fof(f5063,plain,
( ! [X0] : ~ r1(X0)
| ~ spl20_56
| ~ spl20_414 ),
inference(duplicate_literal_removal,[],[f5061]) ).
fof(f5061,plain,
( ! [X0] :
( ~ r1(X0)
| ~ r1(X0) )
| ~ spl20_56
| ~ spl20_414 ),
inference(resolution,[],[f5004,f471]) ).
fof(f471,plain,
( ! [X0] :
( r1(sK3(X0))
| ~ r1(X0) )
| ~ spl20_56 ),
inference(avatar_component_clause,[],[f470]) ).
fof(f5004,plain,
( ! [X0] :
( ~ r1(sK3(X0))
| ~ r1(X0) )
| ~ spl20_414 ),
inference(avatar_component_clause,[],[f5003]) ).
fof(f5041,plain,
( spl20_423
| ~ spl20_1
| ~ spl20_130 ),
inference(avatar_split_clause,[],[f1356,f1298,f128,f5039]) ).
fof(f5039,plain,
( spl20_423
<=> ! [X0,X3,X2,X1] :
( ~ id(sK9(X0,X1),X2)
| ~ id(X0,X3)
| r3(sK10(X0,X1),X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_423])]) ).
fof(f128,plain,
( spl20_1
<=> ! [X0] : id(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_1])]) ).
fof(f1298,plain,
( spl20_130
<=> ! [X4,X0,X3,X2,X1] :
( r3(X0,X1,X2)
| ~ id(sK9(X3,X4),X2)
| ~ id(X3,X1)
| ~ id(sK10(X3,X4),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_130])]) ).
fof(f1356,plain,
( ! [X2,X3,X0,X1] :
( ~ id(sK9(X0,X1),X2)
| ~ id(X0,X3)
| r3(sK10(X0,X1),X3,X2) )
| ~ spl20_1
| ~ spl20_130 ),
inference(resolution,[],[f1299,f129]) ).
fof(f129,plain,
( ! [X0] : id(X0,X0)
| ~ spl20_1 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f1299,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ id(sK10(X3,X4),X0)
| ~ id(sK9(X3,X4),X2)
| ~ id(X3,X1)
| r3(X0,X1,X2) )
| ~ spl20_130 ),
inference(avatar_component_clause,[],[f1298]) ).
fof(f5037,plain,
( spl20_422
| ~ spl20_1
| ~ spl20_129 ),
inference(avatar_split_clause,[],[f1344,f1294,f128,f5035]) ).
fof(f5035,plain,
( spl20_422
<=> ! [X0,X3,X2,X1] :
( ~ id(sK15(X0,X1),X2)
| r3(X3,sK16(X0,X1),X2)
| ~ id(X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_422])]) ).
fof(f1294,plain,
( spl20_129
<=> ! [X4,X0,X3,X2,X1] :
( r3(X0,X1,X2)
| ~ id(sK15(X3,X4),X2)
| ~ id(sK16(X3,X4),X1)
| ~ id(X3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_129])]) ).
fof(f1344,plain,
( ! [X2,X3,X0,X1] :
( ~ id(sK15(X0,X1),X2)
| r3(X3,sK16(X0,X1),X2)
| ~ id(X0,X3) )
| ~ spl20_1
| ~ spl20_129 ),
inference(resolution,[],[f1295,f129]) ).
fof(f1295,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ id(sK16(X3,X4),X1)
| ~ id(sK15(X3,X4),X2)
| r3(X0,X1,X2)
| ~ id(X3,X0) )
| ~ spl20_129 ),
inference(avatar_component_clause,[],[f1294]) ).
fof(f5033,plain,
( spl20_421
| ~ spl20_1
| ~ spl20_128 ),
inference(avatar_split_clause,[],[f1336,f1290,f128,f5031]) ).
fof(f5031,plain,
( spl20_421
<=> ! [X0,X3,X2,X1] :
( r3(X0,X1,sK9(X2,X3))
| ~ id(X1,X2)
| ~ id(X0,sK10(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_421])]) ).
fof(f1290,plain,
( spl20_128
<=> ! [X4,X0,X3,X2,X1] :
( r3(X0,X1,X2)
| ~ id(X2,sK9(X3,X4))
| ~ id(X1,X3)
| ~ id(X0,sK10(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_128])]) ).
fof(f1336,plain,
( ! [X2,X3,X0,X1] :
( r3(X0,X1,sK9(X2,X3))
| ~ id(X1,X2)
| ~ id(X0,sK10(X2,X3)) )
| ~ spl20_1
| ~ spl20_128 ),
inference(resolution,[],[f1291,f129]) ).
fof(f1291,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ id(X2,sK9(X3,X4))
| r3(X0,X1,X2)
| ~ id(X1,X3)
| ~ id(X0,sK10(X3,X4)) )
| ~ spl20_128 ),
inference(avatar_component_clause,[],[f1290]) ).
fof(f5029,plain,
( spl20_420
| ~ spl20_23
| ~ spl20_128 ),
inference(avatar_split_clause,[],[f1335,f1290,f226,f5027]) ).
fof(f5027,plain,
( spl20_420
<=> ! [X0,X3,X2,X1] :
( r3(X0,X1,sK11(X2,X3))
| ~ id(X1,X2)
| ~ id(X0,sK10(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_420])]) ).
fof(f226,plain,
( spl20_23
<=> ! [X0,X1] : id(sK11(X0,X1),sK9(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_23])]) ).
fof(f1335,plain,
( ! [X2,X3,X0,X1] :
( r3(X0,X1,sK11(X2,X3))
| ~ id(X1,X2)
| ~ id(X0,sK10(X2,X3)) )
| ~ spl20_23
| ~ spl20_128 ),
inference(resolution,[],[f1291,f227]) ).
fof(f227,plain,
( ! [X0,X1] : id(sK11(X0,X1),sK9(X0,X1))
| ~ spl20_23 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f5025,plain,
( spl20_419
| ~ spl20_1
| ~ spl20_127 ),
inference(avatar_split_clause,[],[f1327,f1286,f128,f5023]) ).
fof(f5023,plain,
( spl20_419
<=> ! [X0,X3,X2,X1] :
( r3(X0,X1,sK15(X2,X3))
| ~ id(X1,sK16(X2,X3))
| ~ id(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_419])]) ).
fof(f1286,plain,
( spl20_127
<=> ! [X4,X0,X3,X2,X1] :
( r3(X0,X1,X2)
| ~ id(X2,sK15(X3,X4))
| ~ id(X1,sK16(X3,X4))
| ~ id(X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_127])]) ).
fof(f1327,plain,
( ! [X2,X3,X0,X1] :
( r3(X0,X1,sK15(X2,X3))
| ~ id(X1,sK16(X2,X3))
| ~ id(X0,X2) )
| ~ spl20_1
| ~ spl20_127 ),
inference(resolution,[],[f1287,f129]) ).
fof(f1287,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ id(X2,sK15(X3,X4))
| r3(X0,X1,X2)
| ~ id(X1,sK16(X3,X4))
| ~ id(X0,X3) )
| ~ spl20_127 ),
inference(avatar_component_clause,[],[f1286]) ).
fof(f5021,plain,
( spl20_418
| ~ spl20_65
| ~ spl20_127 ),
inference(avatar_split_clause,[],[f1326,f1286,f531,f5019]) ).
fof(f5019,plain,
( spl20_418
<=> ! [X0,X3,X2,X1] :
( r3(X0,X1,sK13(X2,X3))
| ~ id(X1,sK16(X2,X3))
| ~ id(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_418])]) ).
fof(f531,plain,
( spl20_65
<=> ! [X0,X1] : id(sK13(X0,X1),sK15(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_65])]) ).
fof(f1326,plain,
( ! [X2,X3,X0,X1] :
( r3(X0,X1,sK13(X2,X3))
| ~ id(X1,sK16(X2,X3))
| ~ id(X0,X2) )
| ~ spl20_65
| ~ spl20_127 ),
inference(resolution,[],[f1287,f532]) ).
fof(f532,plain,
( ! [X0,X1] : id(sK13(X0,X1),sK15(X0,X1))
| ~ spl20_65 ),
inference(avatar_component_clause,[],[f531]) ).
fof(f5017,plain,
( spl20_417
| ~ spl20_1
| ~ spl20_126 ),
inference(avatar_split_clause,[],[f1314,f1282,f128,f5015]) ).
fof(f5015,plain,
( spl20_417
<=> ! [X0,X3,X2,X1] :
( ~ id(sK11(X0,X1),X2)
| r4(X3,sK12(X0,X1),X2)
| ~ id(X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_417])]) ).
fof(f1282,plain,
( spl20_126
<=> ! [X4,X0,X3,X2,X1] :
( r4(X0,X1,X2)
| ~ id(sK11(X3,X4),X2)
| ~ id(sK12(X3,X4),X1)
| ~ id(X3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_126])]) ).
fof(f1314,plain,
( ! [X2,X3,X0,X1] :
( ~ id(sK11(X0,X1),X2)
| r4(X3,sK12(X0,X1),X2)
| ~ id(X0,X3) )
| ~ spl20_1
| ~ spl20_126 ),
inference(resolution,[],[f1283,f129]) ).
fof(f1283,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ id(sK12(X3,X4),X1)
| ~ id(sK11(X3,X4),X2)
| r4(X0,X1,X2)
| ~ id(X3,X0) )
| ~ spl20_126 ),
inference(avatar_component_clause,[],[f1282]) ).
fof(f5013,plain,
( spl20_416
| ~ spl20_1
| ~ spl20_125 ),
inference(avatar_split_clause,[],[f1306,f1278,f128,f5011]) ).
fof(f5011,plain,
( spl20_416
<=> ! [X0,X3,X2,X1] :
( r4(X0,X1,sK11(X2,X3))
| ~ id(X1,sK12(X2,X3))
| ~ id(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_416])]) ).
fof(f1278,plain,
( spl20_125
<=> ! [X4,X0,X3,X2,X1] :
( r4(X0,X1,X2)
| ~ id(X2,sK11(X3,X4))
| ~ id(X1,sK12(X3,X4))
| ~ id(X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_125])]) ).
fof(f1306,plain,
( ! [X2,X3,X0,X1] :
( r4(X0,X1,sK11(X2,X3))
| ~ id(X1,sK12(X2,X3))
| ~ id(X0,X2) )
| ~ spl20_1
| ~ spl20_125 ),
inference(resolution,[],[f1279,f129]) ).
fof(f1279,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ id(X2,sK11(X3,X4))
| r4(X0,X1,X2)
| ~ id(X1,sK12(X3,X4))
| ~ id(X0,X3) )
| ~ spl20_125 ),
inference(avatar_component_clause,[],[f1278]) ).
fof(f5009,plain,
( spl20_415
| ~ spl20_64
| ~ spl20_125 ),
inference(avatar_split_clause,[],[f1305,f1278,f527,f5007]) ).
fof(f5007,plain,
( spl20_415
<=> ! [X0,X3,X2,X1] :
( r4(X0,X1,sK9(X2,X3))
| ~ id(X1,sK12(X2,X3))
| ~ id(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_415])]) ).
fof(f527,plain,
( spl20_64
<=> ! [X0,X1] : id(sK9(X0,X1),sK11(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_64])]) ).
fof(f1305,plain,
( ! [X2,X3,X0,X1] :
( r4(X0,X1,sK9(X2,X3))
| ~ id(X1,sK12(X2,X3))
| ~ id(X0,X2) )
| ~ spl20_64
| ~ spl20_125 ),
inference(resolution,[],[f1279,f528]) ).
fof(f528,plain,
( ! [X0,X1] : id(sK9(X0,X1),sK11(X0,X1))
| ~ spl20_64 ),
inference(avatar_component_clause,[],[f527]) ).
fof(f5005,plain,
( spl20_414
| ~ spl20_2
| ~ spl20_393 ),
inference(avatar_split_clause,[],[f4961,f4918,f132,f5003]) ).
fof(f4918,plain,
( spl20_393
<=> ! [X0] :
( ~ r1(X0)
| ~ r1(sK4(X0))
| ~ r1(sK3(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_393])]) ).
fof(f4961,plain,
( ! [X0] :
( ~ r1(X0)
| ~ r1(sK3(X0)) )
| ~ spl20_2
| ~ spl20_393 ),
inference(resolution,[],[f4919,f133]) ).
fof(f4919,plain,
( ! [X0] :
( ~ r1(sK4(X0))
| ~ r1(X0)
| ~ r1(sK3(X0)) )
| ~ spl20_393 ),
inference(avatar_component_clause,[],[f4918]) ).
fof(f5001,plain,
( spl20_413
| ~ spl20_10
| ~ spl20_124 ),
inference(avatar_split_clause,[],[f1276,f1155,f164,f4999]) ).
fof(f4999,plain,
( spl20_413
<=> ! [X0,X3,X2,X1] :
( r3(X0,X1,sK19)
| ~ id(X2,X1)
| ~ id(X3,X0)
| ~ r1(sK14(X3,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_413])]) ).
fof(f164,plain,
( spl20_10
<=> ! [X1] :
( ~ r1(X1)
| id(X1,sK19) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_10])]) ).
fof(f1155,plain,
( spl20_124
<=> ! [X4,X0,X3,X2,X1] :
( r3(X0,X1,X2)
| ~ id(sK14(X3,X4),X2)
| ~ id(X4,X1)
| ~ id(X3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_124])]) ).
fof(f1276,plain,
( ! [X2,X3,X0,X1] :
( r3(X0,X1,sK19)
| ~ id(X2,X1)
| ~ id(X3,X0)
| ~ r1(sK14(X3,X2)) )
| ~ spl20_10
| ~ spl20_124 ),
inference(resolution,[],[f1156,f165]) ).
fof(f165,plain,
( ! [X1] :
( id(X1,sK19)
| ~ r1(X1) )
| ~ spl20_10 ),
inference(avatar_component_clause,[],[f164]) ).
fof(f1156,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ id(sK14(X3,X4),X2)
| r3(X0,X1,X2)
| ~ id(X4,X1)
| ~ id(X3,X0) )
| ~ spl20_124 ),
inference(avatar_component_clause,[],[f1155]) ).
fof(f4997,plain,
( spl20_412
| ~ spl20_10
| ~ spl20_123 ),
inference(avatar_split_clause,[],[f1264,f1151,f164,f4995]) ).
fof(f4995,plain,
( spl20_412
<=> ! [X2,X0,X1] :
( ~ id(sK3(X0),X1)
| r3(X2,sK19,X1)
| ~ id(X0,X2)
| ~ r1(sK4(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_412])]) ).
fof(f1151,plain,
( spl20_123
<=> ! [X0,X3,X2,X1] :
( r3(X0,X1,X2)
| ~ id(sK3(X3),X2)
| ~ id(sK4(X3),X1)
| ~ id(X3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_123])]) ).
fof(f1264,plain,
( ! [X2,X0,X1] :
( ~ id(sK3(X0),X1)
| r3(X2,sK19,X1)
| ~ id(X0,X2)
| ~ r1(sK4(X0)) )
| ~ spl20_10
| ~ spl20_123 ),
inference(resolution,[],[f1152,f165]) ).
fof(f1152,plain,
( ! [X2,X3,X0,X1] :
( ~ id(sK4(X3),X1)
| ~ id(sK3(X3),X2)
| r3(X0,X1,X2)
| ~ id(X3,X0) )
| ~ spl20_123 ),
inference(avatar_component_clause,[],[f1151]) ).
fof(f4993,plain,
( spl20_411
| ~ spl20_54
| ~ spl20_122 ),
inference(avatar_split_clause,[],[f1249,f1147,f462,f4991]) ).
fof(f4991,plain,
( spl20_411
<=> ! [X0,X3,X2,X1] :
( r3(X0,X1,sK19)
| ~ id(X1,X2)
| ~ id(X0,X3)
| ~ r1(sK14(X3,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_411])]) ).
fof(f462,plain,
( spl20_54
<=> ! [X0] :
( id(sK19,X0)
| ~ r1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_54])]) ).
fof(f1147,plain,
( spl20_122
<=> ! [X4,X0,X3,X2,X1] :
( r3(X0,X1,X2)
| ~ id(X2,sK14(X3,X4))
| ~ id(X1,X4)
| ~ id(X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_122])]) ).
fof(f1249,plain,
( ! [X2,X3,X0,X1] :
( r3(X0,X1,sK19)
| ~ id(X1,X2)
| ~ id(X0,X3)
| ~ r1(sK14(X3,X2)) )
| ~ spl20_54
| ~ spl20_122 ),
inference(resolution,[],[f1148,f463]) ).
fof(f463,plain,
( ! [X0] :
( id(sK19,X0)
| ~ r1(X0) )
| ~ spl20_54 ),
inference(avatar_component_clause,[],[f462]) ).
fof(f1148,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ id(X2,sK14(X3,X4))
| r3(X0,X1,X2)
| ~ id(X1,X4)
| ~ id(X0,X3) )
| ~ spl20_122 ),
inference(avatar_component_clause,[],[f1147]) ).
fof(f4989,plain,
( spl20_410
| ~ spl20_54
| ~ spl20_120 ),
inference(avatar_split_clause,[],[f1241,f1139,f462,f4987]) ).
fof(f4987,plain,
( spl20_410
<=> ! [X2,X0,X1] :
( r3(X0,X1,sK19)
| ~ id(X1,sK4(X2))
| ~ id(X0,X2)
| ~ r1(sK3(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_410])]) ).
fof(f1139,plain,
( spl20_120
<=> ! [X0,X3,X2,X1] :
( r3(X0,X1,X2)
| ~ id(X2,sK3(X3))
| ~ id(X1,sK4(X3))
| ~ id(X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_120])]) ).
fof(f1241,plain,
( ! [X2,X0,X1] :
( r3(X0,X1,sK19)
| ~ id(X1,sK4(X2))
| ~ id(X0,X2)
| ~ r1(sK3(X2)) )
| ~ spl20_54
| ~ spl20_120 ),
inference(resolution,[],[f1140,f463]) ).
fof(f1140,plain,
( ! [X2,X3,X0,X1] :
( ~ id(X2,sK3(X3))
| r3(X0,X1,X2)
| ~ id(X1,sK4(X3))
| ~ id(X0,X3) )
| ~ spl20_120 ),
inference(avatar_component_clause,[],[f1139]) ).
fof(f4985,plain,
( spl20_409
| ~ spl20_10
| ~ spl20_119 ),
inference(avatar_split_clause,[],[f1235,f1135,f164,f4983]) ).
fof(f4983,plain,
( spl20_409
<=> ! [X0,X3,X2,X1] :
( r4(X0,X1,sK19)
| ~ id(X2,X1)
| ~ id(X3,X0)
| ~ r1(sK10(X3,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_409])]) ).
fof(f1135,plain,
( spl20_119
<=> ! [X4,X0,X3,X2,X1] :
( r4(X0,X1,X2)
| ~ id(sK10(X3,X4),X2)
| ~ id(X4,X1)
| ~ id(X3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_119])]) ).
fof(f1235,plain,
( ! [X2,X3,X0,X1] :
( r4(X0,X1,sK19)
| ~ id(X2,X1)
| ~ id(X3,X0)
| ~ r1(sK10(X3,X2)) )
| ~ spl20_10
| ~ spl20_119 ),
inference(resolution,[],[f1136,f165]) ).
fof(f1136,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ id(sK10(X3,X4),X2)
| r4(X0,X1,X2)
| ~ id(X4,X1)
| ~ id(X3,X0) )
| ~ spl20_119 ),
inference(avatar_component_clause,[],[f1135]) ).
fof(f4981,plain,
( spl20_408
| ~ spl20_10
| ~ spl20_118 ),
inference(avatar_split_clause,[],[f1223,f1131,f164,f4979]) ).
fof(f4979,plain,
( spl20_408
<=> ! [X2,X0,X1] :
( ~ id(sK5(X0),X1)
| r4(X2,sK19,X1)
| ~ id(X0,X2)
| ~ r1(sK7(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_408])]) ).
fof(f1131,plain,
( spl20_118
<=> ! [X0,X3,X2,X1] :
( r4(X0,X1,X2)
| ~ id(sK5(X3),X2)
| ~ id(sK7(X3),X1)
| ~ id(X3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_118])]) ).
fof(f1223,plain,
( ! [X2,X0,X1] :
( ~ id(sK5(X0),X1)
| r4(X2,sK19,X1)
| ~ id(X0,X2)
| ~ r1(sK7(X0)) )
| ~ spl20_10
| ~ spl20_118 ),
inference(resolution,[],[f1132,f165]) ).
fof(f1132,plain,
( ! [X2,X3,X0,X1] :
( ~ id(sK7(X3),X1)
| ~ id(sK5(X3),X2)
| r4(X0,X1,X2)
| ~ id(X3,X0) )
| ~ spl20_118 ),
inference(avatar_component_clause,[],[f1131]) ).
fof(f4977,plain,
( spl20_407
| ~ spl20_54
| ~ spl20_117 ),
inference(avatar_split_clause,[],[f1208,f1127,f462,f4975]) ).
fof(f4975,plain,
( spl20_407
<=> ! [X0,X3,X2,X1] :
( r4(X0,X1,sK19)
| ~ id(X1,X2)
| ~ id(X0,X3)
| ~ r1(sK10(X3,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_407])]) ).
fof(f1127,plain,
( spl20_117
<=> ! [X4,X0,X3,X2,X1] :
( r4(X0,X1,X2)
| ~ id(X2,sK10(X3,X4))
| ~ id(X1,X4)
| ~ id(X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_117])]) ).
fof(f1208,plain,
( ! [X2,X3,X0,X1] :
( r4(X0,X1,sK19)
| ~ id(X1,X2)
| ~ id(X0,X3)
| ~ r1(sK10(X3,X2)) )
| ~ spl20_54
| ~ spl20_117 ),
inference(resolution,[],[f1128,f463]) ).
fof(f1128,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ id(X2,sK10(X3,X4))
| r4(X0,X1,X2)
| ~ id(X1,X4)
| ~ id(X0,X3) )
| ~ spl20_117 ),
inference(avatar_component_clause,[],[f1127]) ).
fof(f4973,plain,
( spl20_406
| ~ spl20_54
| ~ spl20_116 ),
inference(avatar_split_clause,[],[f1200,f1123,f462,f4971]) ).
fof(f4971,plain,
( spl20_406
<=> ! [X2,X0,X1] :
( r4(X0,X1,sK19)
| ~ id(X1,sK7(X2))
| ~ id(X0,X2)
| ~ r1(sK5(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_406])]) ).
fof(f1123,plain,
( spl20_116
<=> ! [X0,X3,X2,X1] :
( r4(X0,X1,X2)
| ~ id(X2,sK5(X3))
| ~ id(X1,sK7(X3))
| ~ id(X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_116])]) ).
fof(f1200,plain,
( ! [X2,X0,X1] :
( r4(X0,X1,sK19)
| ~ id(X1,sK7(X2))
| ~ id(X0,X2)
| ~ r1(sK5(X2)) )
| ~ spl20_54
| ~ spl20_116 ),
inference(resolution,[],[f1124,f463]) ).
fof(f1124,plain,
( ! [X2,X3,X0,X1] :
( ~ id(X2,sK5(X3))
| r4(X0,X1,X2)
| ~ id(X1,sK7(X3))
| ~ id(X0,X3) )
| ~ spl20_116 ),
inference(avatar_component_clause,[],[f1123]) ).
fof(f4969,plain,
( spl20_405
| ~ spl20_19
| ~ spl20_109 ),
inference(avatar_split_clause,[],[f1052,f1023,f210,f4967]) ).
fof(f4967,plain,
( spl20_405
<=> ! [X0,X3,X2,X1] :
( ~ id(sK13(X0,X1),X2)
| r2(sK8(X3),X2)
| ~ r2(X3,sK14(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_405])]) ).
fof(f210,plain,
( spl20_19
<=> ! [X2,X0] :
( ~ r2(X0,X2)
| id(X2,sK8(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_19])]) ).
fof(f1023,plain,
( spl20_109
<=> ! [X0,X3,X2,X1] :
( r2(X0,X1)
| ~ id(sK13(X2,X3),X1)
| ~ id(sK14(X2,X3),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_109])]) ).
fof(f1052,plain,
( ! [X2,X3,X0,X1] :
( ~ id(sK13(X0,X1),X2)
| r2(sK8(X3),X2)
| ~ r2(X3,sK14(X0,X1)) )
| ~ spl20_19
| ~ spl20_109 ),
inference(resolution,[],[f1024,f211]) ).
fof(f211,plain,
( ! [X2,X0] :
( id(X2,sK8(X0))
| ~ r2(X0,X2) )
| ~ spl20_19 ),
inference(avatar_component_clause,[],[f210]) ).
fof(f1024,plain,
( ! [X2,X3,X0,X1] :
( ~ id(sK14(X2,X3),X0)
| ~ id(sK13(X2,X3),X1)
| r2(X0,X1) )
| ~ spl20_109 ),
inference(avatar_component_clause,[],[f1023]) ).
fof(f4965,plain,
( spl20_404
| ~ spl20_62
| ~ spl20_108 ),
inference(avatar_split_clause,[],[f1041,f1019,f519,f4963]) ).
fof(f4963,plain,
( spl20_404
<=> ! [X0,X3,X2,X1] :
( r2(X0,sK8(X1))
| ~ id(X0,sK14(X2,X3))
| ~ r2(X1,sK13(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_404])]) ).
fof(f519,plain,
( spl20_62
<=> ! [X0,X1] :
( ~ r2(X0,X1)
| id(sK8(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_62])]) ).
fof(f1019,plain,
( spl20_108
<=> ! [X0,X3,X2,X1] :
( r2(X0,X1)
| ~ id(X1,sK13(X2,X3))
| ~ id(X0,sK14(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_108])]) ).
fof(f1041,plain,
( ! [X2,X3,X0,X1] :
( r2(X0,sK8(X1))
| ~ id(X0,sK14(X2,X3))
| ~ r2(X1,sK13(X2,X3)) )
| ~ spl20_62
| ~ spl20_108 ),
inference(resolution,[],[f1020,f520]) ).
fof(f520,plain,
( ! [X0,X1] :
( id(sK8(X0),X1)
| ~ r2(X0,X1) )
| ~ spl20_62 ),
inference(avatar_component_clause,[],[f519]) ).
fof(f1020,plain,
( ! [X2,X3,X0,X1] :
( ~ id(X1,sK13(X2,X3))
| r2(X0,X1)
| ~ id(X0,sK14(X2,X3)) )
| ~ spl20_108 ),
inference(avatar_component_clause,[],[f1019]) ).
fof(f4960,plain,
( spl20_403
| ~ spl20_62
| ~ spl20_107 ),
inference(avatar_split_clause,[],[f1032,f1015,f519,f4958]) ).
fof(f4958,plain,
( spl20_403
<=> ! [X0,X3,X2,X1] :
( ~ r2(X0,sK8(X1))
| id(X0,sK14(X2,X3))
| ~ r2(X1,sK13(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_403])]) ).
fof(f1015,plain,
( spl20_107
<=> ! [X0,X3,X2,X1] :
( id(X0,sK14(X1,X2))
| ~ r2(X0,X3)
| ~ id(X3,sK13(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_107])]) ).
fof(f1032,plain,
( ! [X2,X3,X0,X1] :
( ~ r2(X0,sK8(X1))
| id(X0,sK14(X2,X3))
| ~ r2(X1,sK13(X2,X3)) )
| ~ spl20_62
| ~ spl20_107 ),
inference(resolution,[],[f1016,f520]) ).
fof(f1016,plain,
( ! [X2,X3,X0,X1] :
( ~ id(X3,sK13(X1,X2))
| ~ r2(X0,X3)
| id(X0,sK14(X1,X2)) )
| ~ spl20_107 ),
inference(avatar_component_clause,[],[f1015]) ).
fof(f4956,plain,
( spl20_402
| ~ spl20_37
| ~ spl20_103 ),
inference(avatar_split_clause,[],[f989,f913,f316,f4954]) ).
fof(f4954,plain,
( spl20_402
<=> ! [X4,X0,X3,X2,X1] :
( r2(X0,sK18(X1,X2))
| ~ id(X3,X0)
| ~ r3(X1,X2,sK16(X4,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_402])]) ).
fof(f316,plain,
( spl20_37
<=> ! [X0,X1,X3] :
( ~ r3(X0,X1,X3)
| id(X3,sK18(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_37])]) ).
fof(f913,plain,
( spl20_103
<=> ! [X0,X3,X2,X1] :
( r2(X0,X1)
| ~ id(sK16(X2,X3),X1)
| ~ id(X3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_103])]) ).
fof(f989,plain,
( ! [X2,X3,X0,X1,X4] :
( r2(X0,sK18(X1,X2))
| ~ id(X3,X0)
| ~ r3(X1,X2,sK16(X4,X3)) )
| ~ spl20_37
| ~ spl20_103 ),
inference(resolution,[],[f914,f317]) ).
fof(f317,plain,
( ! [X3,X0,X1] :
( id(X3,sK18(X0,X1))
| ~ r3(X0,X1,X3) )
| ~ spl20_37 ),
inference(avatar_component_clause,[],[f316]) ).
fof(f914,plain,
( ! [X2,X3,X0,X1] :
( ~ id(sK16(X2,X3),X1)
| r2(X0,X1)
| ~ id(X3,X0) )
| ~ spl20_103 ),
inference(avatar_component_clause,[],[f913]) ).
fof(f4952,plain,
( spl20_401
| ~ spl20_34
| ~ spl20_103 ),
inference(avatar_split_clause,[],[f988,f913,f304,f4950]) ).
fof(f4950,plain,
( spl20_401
<=> ! [X4,X0,X3,X2,X1] :
( r2(X0,sK17(X1,X2))
| ~ id(X3,X0)
| ~ r4(X1,X2,sK16(X4,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_401])]) ).
fof(f304,plain,
( spl20_34
<=> ! [X0,X1,X3] :
( ~ r4(X0,X1,X3)
| id(X3,sK17(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_34])]) ).
fof(f988,plain,
( ! [X2,X3,X0,X1,X4] :
( r2(X0,sK17(X1,X2))
| ~ id(X3,X0)
| ~ r4(X1,X2,sK16(X4,X3)) )
| ~ spl20_34
| ~ spl20_103 ),
inference(resolution,[],[f914,f305]) ).
fof(f305,plain,
( ! [X3,X0,X1] :
( id(X3,sK17(X0,X1))
| ~ r4(X0,X1,X3) )
| ~ spl20_34 ),
inference(avatar_component_clause,[],[f304]) ).
fof(f4948,plain,
( spl20_400
| ~ spl20_18
| ~ spl20_103 ),
inference(avatar_split_clause,[],[f982,f913,f206,f4946]) ).
fof(f4946,plain,
( spl20_400
<=> ! [X2,X0,X1] :
( r2(X0,sK1(sK16(X1,X2)))
| ~ id(X2,X0)
| r1(sK2(sK16(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_400])]) ).
fof(f206,plain,
( spl20_18
<=> ! [X0] :
( id(X0,sK1(X0))
| r1(sK2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_18])]) ).
fof(f982,plain,
( ! [X2,X0,X1] :
( r2(X0,sK1(sK16(X1,X2)))
| ~ id(X2,X0)
| r1(sK2(sK16(X1,X2))) )
| ~ spl20_18
| ~ spl20_103 ),
inference(resolution,[],[f914,f207]) ).
fof(f207,plain,
( ! [X0] :
( id(X0,sK1(X0))
| r1(sK2(X0)) )
| ~ spl20_18 ),
inference(avatar_component_clause,[],[f206]) ).
fof(f4944,plain,
( spl20_399
| ~ spl20_37
| ~ spl20_102 ),
inference(avatar_split_clause,[],[f977,f909,f316,f4942]) ).
fof(f4942,plain,
( spl20_399
<=> ! [X4,X0,X3,X2,X1] :
( r2(X0,sK18(X1,X2))
| ~ id(X3,X0)
| ~ r3(X1,X2,sK12(X4,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_399])]) ).
fof(f909,plain,
( spl20_102
<=> ! [X0,X3,X2,X1] :
( r2(X0,X1)
| ~ id(sK12(X2,X3),X1)
| ~ id(X3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_102])]) ).
fof(f977,plain,
( ! [X2,X3,X0,X1,X4] :
( r2(X0,sK18(X1,X2))
| ~ id(X3,X0)
| ~ r3(X1,X2,sK12(X4,X3)) )
| ~ spl20_37
| ~ spl20_102 ),
inference(resolution,[],[f910,f317]) ).
fof(f910,plain,
( ! [X2,X3,X0,X1] :
( ~ id(sK12(X2,X3),X1)
| r2(X0,X1)
| ~ id(X3,X0) )
| ~ spl20_102 ),
inference(avatar_component_clause,[],[f909]) ).
fof(f4940,plain,
( spl20_398
| ~ spl20_34
| ~ spl20_102 ),
inference(avatar_split_clause,[],[f976,f909,f304,f4938]) ).
fof(f4938,plain,
( spl20_398
<=> ! [X4,X0,X3,X2,X1] :
( r2(X0,sK17(X1,X2))
| ~ id(X3,X0)
| ~ r4(X1,X2,sK12(X4,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_398])]) ).
fof(f976,plain,
( ! [X2,X3,X0,X1,X4] :
( r2(X0,sK17(X1,X2))
| ~ id(X3,X0)
| ~ r4(X1,X2,sK12(X4,X3)) )
| ~ spl20_34
| ~ spl20_102 ),
inference(resolution,[],[f910,f305]) ).
fof(f4936,plain,
( spl20_397
| ~ spl20_18
| ~ spl20_102 ),
inference(avatar_split_clause,[],[f970,f909,f206,f4934]) ).
fof(f4934,plain,
( spl20_397
<=> ! [X2,X0,X1] :
( r2(X0,sK1(sK12(X1,X2)))
| ~ id(X2,X0)
| r1(sK2(sK12(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_397])]) ).
fof(f970,plain,
( ! [X2,X0,X1] :
( r2(X0,sK1(sK12(X1,X2)))
| ~ id(X2,X0)
| r1(sK2(sK12(X1,X2))) )
| ~ spl20_18
| ~ spl20_102 ),
inference(resolution,[],[f910,f207]) ).
fof(f4932,plain,
( spl20_396
| ~ spl20_85
| ~ spl20_101 ),
inference(avatar_split_clause,[],[f966,f905,f725,f4930]) ).
fof(f4930,plain,
( spl20_396
<=> ! [X4,X0,X3,X2,X1] :
( r2(X0,sK18(X1,X2))
| ~ id(X0,X3)
| ~ r3(X1,X2,sK16(X4,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_396])]) ).
fof(f725,plain,
( spl20_85
<=> ! [X2,X0,X1] :
( ~ r3(X0,X1,X2)
| id(sK18(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_85])]) ).
fof(f905,plain,
( spl20_101
<=> ! [X0,X3,X2,X1] :
( r2(X0,X1)
| ~ id(X1,sK16(X2,X3))
| ~ id(X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_101])]) ).
fof(f966,plain,
( ! [X2,X3,X0,X1,X4] :
( r2(X0,sK18(X1,X2))
| ~ id(X0,X3)
| ~ r3(X1,X2,sK16(X4,X3)) )
| ~ spl20_85
| ~ spl20_101 ),
inference(resolution,[],[f906,f726]) ).
fof(f726,plain,
( ! [X2,X0,X1] :
( id(sK18(X0,X1),X2)
| ~ r3(X0,X1,X2) )
| ~ spl20_85 ),
inference(avatar_component_clause,[],[f725]) ).
fof(f906,plain,
( ! [X2,X3,X0,X1] :
( ~ id(X1,sK16(X2,X3))
| r2(X0,X1)
| ~ id(X0,X3) )
| ~ spl20_101 ),
inference(avatar_component_clause,[],[f905]) ).
fof(f4928,plain,
( spl20_395
| ~ spl20_84
| ~ spl20_101 ),
inference(avatar_split_clause,[],[f965,f905,f721,f4926]) ).
fof(f4926,plain,
( spl20_395
<=> ! [X4,X0,X3,X2,X1] :
( r2(X0,sK17(X1,X2))
| ~ id(X0,X3)
| ~ r4(X1,X2,sK16(X4,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_395])]) ).
fof(f721,plain,
( spl20_84
<=> ! [X2,X0,X1] :
( ~ r4(X0,X1,X2)
| id(sK17(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_84])]) ).
fof(f965,plain,
( ! [X2,X3,X0,X1,X4] :
( r2(X0,sK17(X1,X2))
| ~ id(X0,X3)
| ~ r4(X1,X2,sK16(X4,X3)) )
| ~ spl20_84
| ~ spl20_101 ),
inference(resolution,[],[f906,f722]) ).
fof(f722,plain,
( ! [X2,X0,X1] :
( id(sK17(X0,X1),X2)
| ~ r4(X0,X1,X2) )
| ~ spl20_84 ),
inference(avatar_component_clause,[],[f721]) ).
fof(f4924,plain,
( spl20_394
| ~ spl20_61
| ~ spl20_101 ),
inference(avatar_split_clause,[],[f960,f905,f515,f4922]) ).
fof(f4922,plain,
( spl20_394
<=> ! [X2,X0,X1] :
( r2(X0,sK1(sK16(X1,X2)))
| ~ id(X0,X2)
| r1(sK2(sK16(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_394])]) ).
fof(f515,plain,
( spl20_61
<=> ! [X0] :
( r1(sK2(X0))
| id(sK1(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_61])]) ).
fof(f960,plain,
( ! [X2,X0,X1] :
( r2(X0,sK1(sK16(X1,X2)))
| ~ id(X0,X2)
| r1(sK2(sK16(X1,X2))) )
| ~ spl20_61
| ~ spl20_101 ),
inference(resolution,[],[f906,f516]) ).
fof(f516,plain,
( ! [X0] :
( id(sK1(X0),X0)
| r1(sK2(X0)) )
| ~ spl20_61 ),
inference(avatar_component_clause,[],[f515]) ).
fof(f4920,plain,
( spl20_393
| ~ spl20_201
| ~ spl20_380 ),
inference(avatar_split_clause,[],[f4875,f4768,f1902,f4918]) ).
fof(f1902,plain,
( spl20_201
<=> ! [X0] :
( ~ r1(sK3(X0))
| r1(sK18(X0,sK4(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_201])]) ).
fof(f4768,plain,
( spl20_380
<=> ! [X0,X1] :
( ~ r1(sK18(X0,X1))
| ~ r1(X0)
| ~ r1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_380])]) ).
fof(f4875,plain,
( ! [X0] :
( ~ r1(X0)
| ~ r1(sK4(X0))
| ~ r1(sK3(X0)) )
| ~ spl20_201
| ~ spl20_380 ),
inference(resolution,[],[f4769,f1903]) ).
fof(f1903,plain,
( ! [X0] :
( r1(sK18(X0,sK4(X0)))
| ~ r1(sK3(X0)) )
| ~ spl20_201 ),
inference(avatar_component_clause,[],[f1902]) ).
fof(f4769,plain,
( ! [X0,X1] :
( ~ r1(sK18(X0,X1))
| ~ r1(X0)
| ~ r1(X1) )
| ~ spl20_380 ),
inference(avatar_component_clause,[],[f4768]) ).
fof(f4916,plain,
( spl20_392
| ~ spl20_85
| ~ spl20_100 ),
inference(avatar_split_clause,[],[f958,f901,f725,f4914]) ).
fof(f4914,plain,
( spl20_392
<=> ! [X4,X0,X3,X2,X1] :
( r2(X0,sK18(X1,X2))
| ~ id(X0,X3)
| ~ r3(X1,X2,sK12(X4,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_392])]) ).
fof(f901,plain,
( spl20_100
<=> ! [X0,X3,X2,X1] :
( r2(X0,X1)
| ~ id(X1,sK12(X2,X3))
| ~ id(X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_100])]) ).
fof(f958,plain,
( ! [X2,X3,X0,X1,X4] :
( r2(X0,sK18(X1,X2))
| ~ id(X0,X3)
| ~ r3(X1,X2,sK12(X4,X3)) )
| ~ spl20_85
| ~ spl20_100 ),
inference(resolution,[],[f902,f726]) ).
fof(f902,plain,
( ! [X2,X3,X0,X1] :
( ~ id(X1,sK12(X2,X3))
| r2(X0,X1)
| ~ id(X0,X3) )
| ~ spl20_100 ),
inference(avatar_component_clause,[],[f901]) ).
fof(f4912,plain,
( spl20_391
| ~ spl20_84
| ~ spl20_100 ),
inference(avatar_split_clause,[],[f957,f901,f721,f4910]) ).
fof(f4910,plain,
( spl20_391
<=> ! [X4,X0,X3,X2,X1] :
( r2(X0,sK17(X1,X2))
| ~ id(X0,X3)
| ~ r4(X1,X2,sK12(X4,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_391])]) ).
fof(f957,plain,
( ! [X2,X3,X0,X1,X4] :
( r2(X0,sK17(X1,X2))
| ~ id(X0,X3)
| ~ r4(X1,X2,sK12(X4,X3)) )
| ~ spl20_84
| ~ spl20_100 ),
inference(resolution,[],[f902,f722]) ).
fof(f4908,plain,
( spl20_390
| ~ spl20_61
| ~ spl20_100 ),
inference(avatar_split_clause,[],[f952,f901,f515,f4906]) ).
fof(f4906,plain,
( spl20_390
<=> ! [X2,X0,X1] :
( r2(X0,sK1(sK12(X1,X2)))
| ~ id(X0,X2)
| r1(sK2(sK12(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_390])]) ).
fof(f952,plain,
( ! [X2,X0,X1] :
( r2(X0,sK1(sK12(X1,X2)))
| ~ id(X0,X2)
| r1(sK2(sK12(X1,X2))) )
| ~ spl20_61
| ~ spl20_100 ),
inference(resolution,[],[f902,f516]) ).
fof(f4904,plain,
( spl20_389
| ~ spl20_85
| ~ spl20_99 ),
inference(avatar_split_clause,[],[f950,f897,f725,f4902]) ).
fof(f4902,plain,
( spl20_389
<=> ! [X4,X0,X3,X2,X1] :
( ~ r2(X0,sK18(X1,X2))
| id(X0,X3)
| ~ r3(X1,X2,sK16(X4,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_389])]) ).
fof(f897,plain,
( spl20_99
<=> ! [X0,X3,X2,X1] :
( id(X0,X1)
| ~ r2(X0,X2)
| ~ id(X2,sK16(X3,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_99])]) ).
fof(f950,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r2(X0,sK18(X1,X2))
| id(X0,X3)
| ~ r3(X1,X2,sK16(X4,X3)) )
| ~ spl20_85
| ~ spl20_99 ),
inference(resolution,[],[f898,f726]) ).
fof(f898,plain,
( ! [X2,X3,X0,X1] :
( ~ id(X2,sK16(X3,X1))
| ~ r2(X0,X2)
| id(X0,X1) )
| ~ spl20_99 ),
inference(avatar_component_clause,[],[f897]) ).
fof(f4900,plain,
( spl20_388
| ~ spl20_84
| ~ spl20_99 ),
inference(avatar_split_clause,[],[f949,f897,f721,f4898]) ).
fof(f4898,plain,
( spl20_388
<=> ! [X4,X0,X3,X2,X1] :
( ~ r2(X0,sK17(X1,X2))
| id(X0,X3)
| ~ r4(X1,X2,sK16(X4,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_388])]) ).
fof(f949,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r2(X0,sK17(X1,X2))
| id(X0,X3)
| ~ r4(X1,X2,sK16(X4,X3)) )
| ~ spl20_84
| ~ spl20_99 ),
inference(resolution,[],[f898,f722]) ).
fof(f4896,plain,
( spl20_387
| ~ spl20_61
| ~ spl20_99 ),
inference(avatar_split_clause,[],[f944,f897,f515,f4894]) ).
fof(f4894,plain,
( spl20_387
<=> ! [X2,X0,X1] :
( ~ r2(X0,sK1(sK16(X1,X2)))
| id(X0,X2)
| r1(sK2(sK16(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_387])]) ).
fof(f944,plain,
( ! [X2,X0,X1] :
( ~ r2(X0,sK1(sK16(X1,X2)))
| id(X0,X2)
| r1(sK2(sK16(X1,X2))) )
| ~ spl20_61
| ~ spl20_99 ),
inference(resolution,[],[f898,f516]) ).
fof(f4892,plain,
( spl20_386
| ~ spl20_85
| ~ spl20_98 ),
inference(avatar_split_clause,[],[f942,f893,f725,f4890]) ).
fof(f4890,plain,
( spl20_386
<=> ! [X4,X0,X3,X2,X1] :
( ~ r2(X0,sK18(X1,X2))
| id(X0,X3)
| ~ r3(X1,X2,sK12(X4,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_386])]) ).
fof(f893,plain,
( spl20_98
<=> ! [X0,X3,X2,X1] :
( id(X0,X1)
| ~ r2(X0,X2)
| ~ id(X2,sK12(X3,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_98])]) ).
fof(f942,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r2(X0,sK18(X1,X2))
| id(X0,X3)
| ~ r3(X1,X2,sK12(X4,X3)) )
| ~ spl20_85
| ~ spl20_98 ),
inference(resolution,[],[f894,f726]) ).
fof(f894,plain,
( ! [X2,X3,X0,X1] :
( ~ id(X2,sK12(X3,X1))
| ~ r2(X0,X2)
| id(X0,X1) )
| ~ spl20_98 ),
inference(avatar_component_clause,[],[f893]) ).
fof(f4888,plain,
( spl20_385
| ~ spl20_84
| ~ spl20_98 ),
inference(avatar_split_clause,[],[f941,f893,f721,f4886]) ).
fof(f4886,plain,
( spl20_385
<=> ! [X4,X0,X3,X2,X1] :
( ~ r2(X0,sK17(X1,X2))
| id(X0,X3)
| ~ r4(X1,X2,sK12(X4,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_385])]) ).
fof(f941,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r2(X0,sK17(X1,X2))
| id(X0,X3)
| ~ r4(X1,X2,sK12(X4,X3)) )
| ~ spl20_84
| ~ spl20_98 ),
inference(resolution,[],[f894,f722]) ).
fof(f4884,plain,
( spl20_384
| ~ spl20_61
| ~ spl20_98 ),
inference(avatar_split_clause,[],[f936,f893,f515,f4882]) ).
fof(f4882,plain,
( spl20_384
<=> ! [X2,X0,X1] :
( ~ r2(X0,sK1(sK12(X1,X2)))
| id(X0,X2)
| r1(sK2(sK12(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_384])]) ).
fof(f936,plain,
( ! [X2,X0,X1] :
( ~ r2(X0,sK1(sK12(X1,X2)))
| id(X0,X2)
| r1(sK2(sK12(X1,X2))) )
| ~ spl20_61
| ~ spl20_98 ),
inference(resolution,[],[f894,f516]) ).
fof(f4880,plain,
( spl20_383
| ~ spl20_39
| ~ spl20_97 ),
inference(avatar_split_clause,[],[f927,f889,f324,f4878]) ).
fof(f4878,plain,
( spl20_383
<=> ! [X2,X0,X1] :
( id(X1,sK1(X1))
| ~ id(X0,X1)
| id(X2,sK2(X1))
| ~ id(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_383])]) ).
fof(f324,plain,
( spl20_39
<=> ! [X2,X0,X1] :
( ~ id(X1,X2)
| id(X0,X2)
| ~ id(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_39])]) ).
fof(f889,plain,
( spl20_97
<=> ! [X0,X1] :
( id(X0,sK2(X1))
| ~ id(X0,X1)
| id(X1,sK1(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_97])]) ).
fof(f927,plain,
( ! [X2,X0,X1] :
( id(X1,sK1(X1))
| ~ id(X0,X1)
| id(X2,sK2(X1))
| ~ id(X2,X0) )
| ~ spl20_39
| ~ spl20_97 ),
inference(resolution,[],[f890,f325]) ).
fof(f325,plain,
( ! [X2,X0,X1] :
( ~ id(X1,X2)
| id(X0,X2)
| ~ id(X0,X1) )
| ~ spl20_39 ),
inference(avatar_component_clause,[],[f324]) ).
fof(f890,plain,
( ! [X0,X1] :
( id(X1,sK1(X1))
| id(X0,sK2(X1))
| ~ id(X0,X1) )
| ~ spl20_97 ),
inference(avatar_component_clause,[],[f889]) ).
fof(f4874,plain,
( spl20_382
| ~ spl20_39
| ~ spl20_97 ),
inference(avatar_split_clause,[],[f919,f889,f324,f4872]) ).
fof(f4872,plain,
( spl20_382
<=> ! [X2,X0,X1] :
( id(X1,sK2(X0))
| ~ id(X1,X0)
| id(X2,sK1(X0))
| ~ id(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_382])]) ).
fof(f919,plain,
( ! [X2,X0,X1] :
( id(X1,sK2(X0))
| ~ id(X1,X0)
| id(X2,sK1(X0))
| ~ id(X2,X0) )
| ~ spl20_39
| ~ spl20_97 ),
inference(resolution,[],[f890,f325]) ).
fof(f4870,plain,
( spl20_381
| ~ spl20_79
| ~ spl20_87 ),
inference(avatar_split_clause,[],[f824,f781,f639,f4868]) ).
fof(f4868,plain,
( spl20_381
<=> ! [X0] :
( ~ r1(sK2(sK1(X0)))
| id(X0,sK2(X0))
| id(sK1(X0),sK1(sK1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_381])]) ).
fof(f639,plain,
( spl20_79
<=> ! [X0] :
( id(X0,sK1(X0))
| id(sK2(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_79])]) ).
fof(f781,plain,
( spl20_87
<=> ! [X0,X1] :
( id(X0,sK2(X0))
| ~ r1(X1)
| ~ id(X1,sK1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_87])]) ).
fof(f824,plain,
( ! [X0] :
( ~ r1(sK2(sK1(X0)))
| id(X0,sK2(X0))
| id(sK1(X0),sK1(sK1(X0))) )
| ~ spl20_79
| ~ spl20_87 ),
inference(resolution,[],[f782,f640]) ).
fof(f640,plain,
( ! [X0] :
( id(sK2(X0),X0)
| id(X0,sK1(X0)) )
| ~ spl20_79 ),
inference(avatar_component_clause,[],[f639]) ).
fof(f782,plain,
( ! [X0,X1] :
( ~ id(X1,sK1(X0))
| ~ r1(X1)
| id(X0,sK2(X0)) )
| ~ spl20_87 ),
inference(avatar_component_clause,[],[f781]) ).
fof(f4770,plain,
( spl20_380
| ~ spl20_17
| ~ spl20_370 ),
inference(avatar_split_clause,[],[f4564,f4328,f196,f4768]) ).
fof(f196,plain,
( spl20_17
<=> ! [X0,X1] : r3(X0,X1,sK14(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_17])]) ).
fof(f4328,plain,
( spl20_370
<=> ! [X0,X3,X2,X1] :
( ~ r1(X0)
| ~ r1(sK18(X1,X2))
| ~ r1(X3)
| ~ r3(X1,X2,sK14(X3,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_370])]) ).
fof(f4564,plain,
( ! [X0,X1] :
( ~ r1(sK18(X0,X1))
| ~ r1(X0)
| ~ r1(X1) )
| ~ spl20_17
| ~ spl20_370 ),
inference(resolution,[],[f4329,f197]) ).
fof(f197,plain,
( ! [X0,X1] : r3(X0,X1,sK14(X0,X1))
| ~ spl20_17 ),
inference(avatar_component_clause,[],[f196]) ).
fof(f4329,plain,
( ! [X2,X3,X0,X1] :
( ~ r3(X1,X2,sK14(X3,X0))
| ~ r1(sK18(X1,X2))
| ~ r1(X3)
| ~ r1(X0) )
| ~ spl20_370 ),
inference(avatar_component_clause,[],[f4328]) ).
fof(f4366,plain,
( spl20_379
| ~ spl20_36
| ~ spl20_124 ),
inference(avatar_split_clause,[],[f1272,f1155,f312,f4364]) ).
fof(f4364,plain,
( spl20_379
<=> ! [X0,X3,X2,X1] :
( r3(X0,X1,sK3(sK14(X2,X3)))
| ~ id(X3,X1)
| ~ id(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_379])]) ).
fof(f312,plain,
( spl20_36
<=> ! [X0] : id(X0,sK3(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_36])]) ).
fof(f1272,plain,
( ! [X2,X3,X0,X1] :
( r3(X0,X1,sK3(sK14(X2,X3)))
| ~ id(X3,X1)
| ~ id(X2,X0) )
| ~ spl20_36
| ~ spl20_124 ),
inference(resolution,[],[f1156,f313]) ).
fof(f313,plain,
( ! [X0] : id(X0,sK3(X0))
| ~ spl20_36 ),
inference(avatar_component_clause,[],[f312]) ).
fof(f4362,plain,
( spl20_378
| ~ spl20_36
| ~ spl20_123 ),
inference(avatar_split_clause,[],[f1260,f1151,f312,f4360]) ).
fof(f4360,plain,
( spl20_378
<=> ! [X2,X0,X1] :
( ~ id(sK3(X0),X1)
| r3(X2,sK3(sK4(X0)),X1)
| ~ id(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_378])]) ).
fof(f1260,plain,
( ! [X2,X0,X1] :
( ~ id(sK3(X0),X1)
| r3(X2,sK3(sK4(X0)),X1)
| ~ id(X0,X2) )
| ~ spl20_36
| ~ spl20_123 ),
inference(resolution,[],[f1152,f313]) ).
fof(f4358,plain,
( spl20_377
| ~ spl20_5
| ~ spl20_122 ),
inference(avatar_split_clause,[],[f1248,f1147,f144,f4356]) ).
fof(f4356,plain,
( spl20_377
<=> ! [X0,X3,X2,X1] :
( r3(X0,X1,sK3(sK14(X2,X3)))
| ~ id(X1,X3)
| ~ id(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_377])]) ).
fof(f144,plain,
( spl20_5
<=> ! [X0] : id(sK3(X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_5])]) ).
fof(f1248,plain,
( ! [X2,X3,X0,X1] :
( r3(X0,X1,sK3(sK14(X2,X3)))
| ~ id(X1,X3)
| ~ id(X0,X2) )
| ~ spl20_5
| ~ spl20_122 ),
inference(resolution,[],[f1148,f145]) ).
fof(f145,plain,
( ! [X0] : id(sK3(X0),X0)
| ~ spl20_5 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f4354,plain,
( spl20_376
| ~ spl20_5
| ~ spl20_120 ),
inference(avatar_split_clause,[],[f1240,f1139,f144,f4352]) ).
fof(f4352,plain,
( spl20_376
<=> ! [X2,X0,X1] :
( r3(X0,X1,sK3(sK3(X2)))
| ~ id(X1,sK4(X2))
| ~ id(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_376])]) ).
fof(f1240,plain,
( ! [X2,X0,X1] :
( r3(X0,X1,sK3(sK3(X2)))
| ~ id(X1,sK4(X2))
| ~ id(X0,X2) )
| ~ spl20_5
| ~ spl20_120 ),
inference(resolution,[],[f1140,f145]) ).
fof(f4350,plain,
( spl20_375
| ~ spl20_36
| ~ spl20_119 ),
inference(avatar_split_clause,[],[f1231,f1135,f312,f4348]) ).
fof(f4348,plain,
( spl20_375
<=> ! [X0,X3,X2,X1] :
( r4(X0,X1,sK3(sK10(X2,X3)))
| ~ id(X3,X1)
| ~ id(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_375])]) ).
fof(f1231,plain,
( ! [X2,X3,X0,X1] :
( r4(X0,X1,sK3(sK10(X2,X3)))
| ~ id(X3,X1)
| ~ id(X2,X0) )
| ~ spl20_36
| ~ spl20_119 ),
inference(resolution,[],[f1136,f313]) ).
fof(f4346,plain,
( spl20_374
| ~ spl20_36
| ~ spl20_118 ),
inference(avatar_split_clause,[],[f1219,f1131,f312,f4344]) ).
fof(f4344,plain,
( spl20_374
<=> ! [X2,X0,X1] :
( ~ id(sK5(X0),X1)
| r4(X2,sK3(sK7(X0)),X1)
| ~ id(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_374])]) ).
fof(f1219,plain,
( ! [X2,X0,X1] :
( ~ id(sK5(X0),X1)
| r4(X2,sK3(sK7(X0)),X1)
| ~ id(X0,X2) )
| ~ spl20_36
| ~ spl20_118 ),
inference(resolution,[],[f1132,f313]) ).
fof(f4342,plain,
( spl20_373
| ~ spl20_5
| ~ spl20_117 ),
inference(avatar_split_clause,[],[f1207,f1127,f144,f4340]) ).
fof(f4340,plain,
( spl20_373
<=> ! [X0,X3,X2,X1] :
( r4(X0,X1,sK3(sK10(X2,X3)))
| ~ id(X1,X3)
| ~ id(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_373])]) ).
fof(f1207,plain,
( ! [X2,X3,X0,X1] :
( r4(X0,X1,sK3(sK10(X2,X3)))
| ~ id(X1,X3)
| ~ id(X0,X2) )
| ~ spl20_5
| ~ spl20_117 ),
inference(resolution,[],[f1128,f145]) ).
fof(f4338,plain,
( spl20_372
| ~ spl20_5
| ~ spl20_116 ),
inference(avatar_split_clause,[],[f1199,f1123,f144,f4336]) ).
fof(f4336,plain,
( spl20_372
<=> ! [X2,X0,X1] :
( r4(X0,X1,sK3(sK5(X2)))
| ~ id(X1,sK7(X2))
| ~ id(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_372])]) ).
fof(f1199,plain,
( ! [X2,X0,X1] :
( r4(X0,X1,sK3(sK5(X2)))
| ~ id(X1,sK7(X2))
| ~ id(X0,X2) )
| ~ spl20_5
| ~ spl20_116 ),
inference(resolution,[],[f1124,f145]) ).
fof(f4334,plain,
( spl20_371
| ~ spl20_36
| ~ spl20_115 ),
inference(avatar_split_clause,[],[f1190,f1119,f312,f4332]) ).
fof(f4332,plain,
( spl20_371
<=> ! [X0,X1] :
( r2(X0,sK3(sK1(X1)))
| ~ id(sK0(X1),X0)
| id(X1,sK2(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_371])]) ).
fof(f1119,plain,
( spl20_115
<=> ! [X2,X0,X1] :
( r2(X0,X1)
| ~ id(sK1(X2),X1)
| ~ id(sK0(X2),X0)
| id(X2,sK2(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_115])]) ).
fof(f1190,plain,
( ! [X0,X1] :
( r2(X0,sK3(sK1(X1)))
| ~ id(sK0(X1),X0)
| id(X1,sK2(X1)) )
| ~ spl20_36
| ~ spl20_115 ),
inference(resolution,[],[f1120,f313]) ).
fof(f1120,plain,
( ! [X2,X0,X1] :
( ~ id(sK1(X2),X1)
| r2(X0,X1)
| ~ id(sK0(X2),X0)
| id(X2,sK2(X2)) )
| ~ spl20_115 ),
inference(avatar_component_clause,[],[f1119]) ).
fof(f4330,plain,
( spl20_370
| ~ spl20_85
| ~ spl20_336 ),
inference(avatar_split_clause,[],[f3736,f3680,f725,f4328]) ).
fof(f3680,plain,
( spl20_336
<=> ! [X2,X0,X1] :
( ~ id(X0,sK14(X1,X2))
| ~ r1(X2)
| ~ r1(X0)
| ~ r1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_336])]) ).
fof(f3736,plain,
( ! [X2,X3,X0,X1] :
( ~ r1(X0)
| ~ r1(sK18(X1,X2))
| ~ r1(X3)
| ~ r3(X1,X2,sK14(X3,X0)) )
| ~ spl20_85
| ~ spl20_336 ),
inference(resolution,[],[f3681,f726]) ).
fof(f3681,plain,
( ! [X2,X0,X1] :
( ~ id(X0,sK14(X1,X2))
| ~ r1(X2)
| ~ r1(X0)
| ~ r1(X1) )
| ~ spl20_336 ),
inference(avatar_component_clause,[],[f3680]) ).
fof(f4326,plain,
( spl20_369
| ~ spl20_5
| ~ spl20_114 ),
inference(avatar_split_clause,[],[f1177,f1115,f144,f4324]) ).
fof(f4324,plain,
( spl20_369
<=> ! [X0,X1] :
( r2(X0,sK3(sK1(X1)))
| ~ id(X0,sK0(X1))
| id(X1,sK2(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_369])]) ).
fof(f1115,plain,
( spl20_114
<=> ! [X2,X0,X1] :
( r2(X0,X1)
| ~ id(X1,sK1(X2))
| ~ id(X0,sK0(X2))
| id(X2,sK2(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_114])]) ).
fof(f1177,plain,
( ! [X0,X1] :
( r2(X0,sK3(sK1(X1)))
| ~ id(X0,sK0(X1))
| id(X1,sK2(X1)) )
| ~ spl20_5
| ~ spl20_114 ),
inference(resolution,[],[f1116,f145]) ).
fof(f1116,plain,
( ! [X2,X0,X1] :
( ~ id(X1,sK1(X2))
| r2(X0,X1)
| ~ id(X0,sK0(X2))
| id(X2,sK2(X2)) )
| ~ spl20_114 ),
inference(avatar_component_clause,[],[f1115]) ).
fof(f4322,plain,
( spl20_368
| ~ spl20_5
| ~ spl20_113 ),
inference(avatar_split_clause,[],[f1165,f1111,f144,f4320]) ).
fof(f4320,plain,
( spl20_368
<=> ! [X0,X1] :
( ~ r2(X0,sK3(sK1(X1)))
| id(X0,sK0(X1))
| id(X1,sK2(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_368])]) ).
fof(f1111,plain,
( spl20_113
<=> ! [X2,X0,X1] :
( id(X0,sK0(X1))
| ~ r2(X0,X2)
| ~ id(X2,sK1(X1))
| id(X1,sK2(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_113])]) ).
fof(f1165,plain,
( ! [X0,X1] :
( ~ r2(X0,sK3(sK1(X1)))
| id(X0,sK0(X1))
| id(X1,sK2(X1)) )
| ~ spl20_5
| ~ spl20_113 ),
inference(resolution,[],[f1112,f145]) ).
fof(f1112,plain,
( ! [X2,X0,X1] :
( ~ id(X2,sK1(X1))
| ~ r2(X0,X2)
| id(X0,sK0(X1))
| id(X1,sK2(X1)) )
| ~ spl20_113 ),
inference(avatar_component_clause,[],[f1111]) ).
fof(f4318,plain,
( spl20_367
| ~ spl20_92
| ~ spl20_111 ),
inference(avatar_split_clause,[],[f1094,f1061,f801,f4316]) ).
fof(f4316,plain,
( spl20_367
<=> ! [X2,X0,X1] :
( r2(X0,X1)
| ~ id(X0,sK0(X2))
| r1(sK2(X2))
| ~ id(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_367])]) ).
fof(f801,plain,
( spl20_92
<=> ! [X0,X1] :
( id(X0,sK1(X1))
| ~ id(X0,X1)
| r1(sK2(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_92])]) ).
fof(f1061,plain,
( spl20_111
<=> ! [X2,X0,X1] :
( r2(X0,X1)
| ~ id(X1,sK1(X2))
| ~ id(X0,sK0(X2))
| r1(sK2(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_111])]) ).
fof(f1094,plain,
( ! [X2,X0,X1] :
( r2(X0,X1)
| ~ id(X0,sK0(X2))
| r1(sK2(X2))
| ~ id(X1,X2) )
| ~ spl20_92
| ~ spl20_111 ),
inference(duplicate_literal_removal,[],[f1085]) ).
fof(f1085,plain,
( ! [X2,X0,X1] :
( r2(X0,X1)
| ~ id(X0,sK0(X2))
| r1(sK2(X2))
| ~ id(X1,X2)
| r1(sK2(X2)) )
| ~ spl20_92
| ~ spl20_111 ),
inference(resolution,[],[f1062,f802]) ).
fof(f802,plain,
( ! [X0,X1] :
( id(X0,sK1(X1))
| ~ id(X0,X1)
| r1(sK2(X1)) )
| ~ spl20_92 ),
inference(avatar_component_clause,[],[f801]) ).
fof(f1062,plain,
( ! [X2,X0,X1] :
( ~ id(X1,sK1(X2))
| r2(X0,X1)
| ~ id(X0,sK0(X2))
| r1(sK2(X2)) )
| ~ spl20_111 ),
inference(avatar_component_clause,[],[f1061]) ).
fof(f4314,plain,
( spl20_366
| ~ spl20_92
| ~ spl20_110 ),
inference(avatar_split_clause,[],[f1080,f1057,f801,f4312]) ).
fof(f4312,plain,
( spl20_366
<=> ! [X2,X0,X1] :
( ~ r2(X0,X1)
| id(X0,sK0(X2))
| r1(sK2(X2))
| ~ id(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_366])]) ).
fof(f1057,plain,
( spl20_110
<=> ! [X2,X0,X1] :
( id(X0,sK0(X1))
| ~ r2(X0,X2)
| ~ id(X2,sK1(X1))
| r1(sK2(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_110])]) ).
fof(f1080,plain,
( ! [X2,X0,X1] :
( ~ r2(X0,X1)
| id(X0,sK0(X2))
| r1(sK2(X2))
| ~ id(X1,X2) )
| ~ spl20_92
| ~ spl20_110 ),
inference(duplicate_literal_removal,[],[f1071]) ).
fof(f1071,plain,
( ! [X2,X0,X1] :
( ~ r2(X0,X1)
| id(X0,sK0(X2))
| r1(sK2(X2))
| ~ id(X1,X2)
| r1(sK2(X2)) )
| ~ spl20_92
| ~ spl20_110 ),
inference(resolution,[],[f1058,f802]) ).
fof(f1058,plain,
( ! [X2,X0,X1] :
( ~ id(X2,sK1(X1))
| ~ r2(X0,X2)
| id(X0,sK0(X1))
| r1(sK2(X1)) )
| ~ spl20_110 ),
inference(avatar_component_clause,[],[f1057]) ).
fof(f4310,plain,
( spl20_365
| ~ spl20_81
| ~ spl20_97 ),
inference(avatar_split_clause,[],[f926,f889,f647,f4308]) ).
fof(f4308,plain,
( spl20_365
<=> ! [X0,X1] :
( id(X1,sK1(X1))
| ~ id(X0,X1)
| id(X0,sK19)
| ~ r1(sK2(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_365])]) ).
fof(f647,plain,
( spl20_81
<=> ! [X0,X1] :
( id(X0,sK19)
| ~ id(X0,X1)
| ~ r1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_81])]) ).
fof(f926,plain,
( ! [X0,X1] :
( id(X1,sK1(X1))
| ~ id(X0,X1)
| id(X0,sK19)
| ~ r1(sK2(X1)) )
| ~ spl20_81
| ~ spl20_97 ),
inference(resolution,[],[f890,f648]) ).
fof(f648,plain,
( ! [X0,X1] :
( ~ id(X0,X1)
| id(X0,sK19)
| ~ r1(X1) )
| ~ spl20_81 ),
inference(avatar_component_clause,[],[f647]) ).
fof(f4306,plain,
( spl20_364
| ~ spl20_87
| ~ spl20_97 ),
inference(avatar_split_clause,[],[f916,f889,f781,f4304]) ).
fof(f4304,plain,
( spl20_364
<=> ! [X0,X1] :
( id(X1,sK2(X0))
| ~ id(X1,X0)
| ~ r1(X0)
| id(X0,sK2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_364])]) ).
fof(f916,plain,
( ! [X0,X1] :
( id(X1,sK2(X0))
| ~ id(X1,X0)
| ~ r1(X0)
| id(X0,sK2(X0)) )
| ~ spl20_87
| ~ spl20_97 ),
inference(resolution,[],[f890,f782]) ).
fof(f4302,plain,
( spl20_363
| ~ spl20_85
| ~ spl20_96 ),
inference(avatar_split_clause,[],[f887,f817,f725,f4300]) ).
fof(f4300,plain,
( spl20_363
<=> ! [X0,X3,X2,X1] :
( id(sK18(X0,X1),sK13(X2,X3))
| ~ r3(X0,X1,sK15(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_363])]) ).
fof(f817,plain,
( spl20_96
<=> ! [X2,X0,X1] :
( id(X0,sK13(X1,X2))
| ~ id(X0,sK15(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_96])]) ).
fof(f887,plain,
( ! [X2,X3,X0,X1] :
( id(sK18(X0,X1),sK13(X2,X3))
| ~ r3(X0,X1,sK15(X2,X3)) )
| ~ spl20_85
| ~ spl20_96 ),
inference(resolution,[],[f818,f726]) ).
fof(f818,plain,
( ! [X2,X0,X1] :
( ~ id(X0,sK15(X1,X2))
| id(X0,sK13(X1,X2)) )
| ~ spl20_96 ),
inference(avatar_component_clause,[],[f817]) ).
fof(f4298,plain,
( spl20_362
| ~ spl20_84
| ~ spl20_96 ),
inference(avatar_split_clause,[],[f886,f817,f721,f4296]) ).
fof(f4296,plain,
( spl20_362
<=> ! [X0,X3,X2,X1] :
( id(sK17(X0,X1),sK13(X2,X3))
| ~ r4(X0,X1,sK15(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_362])]) ).
fof(f886,plain,
( ! [X2,X3,X0,X1] :
( id(sK17(X0,X1),sK13(X2,X3))
| ~ r4(X0,X1,sK15(X2,X3)) )
| ~ spl20_84
| ~ spl20_96 ),
inference(resolution,[],[f818,f722]) ).
fof(f4294,plain,
( spl20_361
| ~ spl20_61
| ~ spl20_96 ),
inference(avatar_split_clause,[],[f881,f817,f515,f4292]) ).
fof(f4292,plain,
( spl20_361
<=> ! [X0,X1] :
( id(sK1(sK15(X0,X1)),sK13(X0,X1))
| r1(sK2(sK15(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_361])]) ).
fof(f881,plain,
( ! [X0,X1] :
( id(sK1(sK15(X0,X1)),sK13(X0,X1))
| r1(sK2(sK15(X0,X1))) )
| ~ spl20_61
| ~ spl20_96 ),
inference(resolution,[],[f818,f516]) ).
fof(f4290,plain,
( spl20_360
| ~ spl20_85
| ~ spl20_95 ),
inference(avatar_split_clause,[],[f878,f813,f725,f4288]) ).
fof(f4288,plain,
( spl20_360
<=> ! [X0,X3,X2,X1] :
( id(sK18(X0,X1),sK9(X2,X3))
| ~ r3(X0,X1,sK11(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_360])]) ).
fof(f813,plain,
( spl20_95
<=> ! [X2,X0,X1] :
( id(X0,sK9(X1,X2))
| ~ id(X0,sK11(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_95])]) ).
fof(f878,plain,
( ! [X2,X3,X0,X1] :
( id(sK18(X0,X1),sK9(X2,X3))
| ~ r3(X0,X1,sK11(X2,X3)) )
| ~ spl20_85
| ~ spl20_95 ),
inference(resolution,[],[f814,f726]) ).
fof(f814,plain,
( ! [X2,X0,X1] :
( ~ id(X0,sK11(X1,X2))
| id(X0,sK9(X1,X2)) )
| ~ spl20_95 ),
inference(avatar_component_clause,[],[f813]) ).
fof(f4286,plain,
( spl20_359
| ~ spl20_84
| ~ spl20_336 ),
inference(avatar_split_clause,[],[f3735,f3680,f721,f4284]) ).
fof(f4284,plain,
( spl20_359
<=> ! [X0,X3,X2,X1] :
( ~ r1(X0)
| ~ r1(sK17(X1,X2))
| ~ r1(X3)
| ~ r4(X1,X2,sK14(X3,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_359])]) ).
fof(f3735,plain,
( ! [X2,X3,X0,X1] :
( ~ r1(X0)
| ~ r1(sK17(X1,X2))
| ~ r1(X3)
| ~ r4(X1,X2,sK14(X3,X0)) )
| ~ spl20_84
| ~ spl20_336 ),
inference(resolution,[],[f3681,f722]) ).
fof(f4282,plain,
( spl20_358
| ~ spl20_84
| ~ spl20_95 ),
inference(avatar_split_clause,[],[f877,f813,f721,f4280]) ).
fof(f4280,plain,
( spl20_358
<=> ! [X0,X3,X2,X1] :
( id(sK17(X0,X1),sK9(X2,X3))
| ~ r4(X0,X1,sK11(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_358])]) ).
fof(f877,plain,
( ! [X2,X3,X0,X1] :
( id(sK17(X0,X1),sK9(X2,X3))
| ~ r4(X0,X1,sK11(X2,X3)) )
| ~ spl20_84
| ~ spl20_95 ),
inference(resolution,[],[f814,f722]) ).
fof(f4278,plain,
( spl20_357
| ~ spl20_61
| ~ spl20_95 ),
inference(avatar_split_clause,[],[f872,f813,f515,f4276]) ).
fof(f4276,plain,
( spl20_357
<=> ! [X0,X1] :
( id(sK1(sK11(X0,X1)),sK9(X0,X1))
| r1(sK2(sK11(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_357])]) ).
fof(f872,plain,
( ! [X0,X1] :
( id(sK1(sK11(X0,X1)),sK9(X0,X1))
| r1(sK2(sK11(X0,X1))) )
| ~ spl20_61
| ~ spl20_95 ),
inference(resolution,[],[f814,f516]) ).
fof(f4274,plain,
( spl20_356
| ~ spl20_33
| ~ spl20_94 ),
inference(avatar_split_clause,[],[f868,f809,f300,f4272]) ).
fof(f4272,plain,
( spl20_356
<=> ! [X0,X1] :
( ~ id(X0,sK1(X1))
| id(X0,sK8(sK0(X1)))
| id(X1,sK2(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_356])]) ).
fof(f300,plain,
( spl20_33
<=> ! [X0] :
( r2(sK0(X0),sK1(X0))
| id(X0,sK2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_33])]) ).
fof(f809,plain,
( spl20_94
<=> ! [X2,X0,X1] :
( id(X0,sK8(X1))
| ~ id(X0,X2)
| ~ r2(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_94])]) ).
fof(f868,plain,
( ! [X0,X1] :
( ~ id(X0,sK1(X1))
| id(X0,sK8(sK0(X1)))
| id(X1,sK2(X1)) )
| ~ spl20_33
| ~ spl20_94 ),
inference(resolution,[],[f810,f301]) ).
fof(f301,plain,
( ! [X0] :
( r2(sK0(X0),sK1(X0))
| id(X0,sK2(X0)) )
| ~ spl20_33 ),
inference(avatar_component_clause,[],[f300]) ).
fof(f810,plain,
( ! [X2,X0,X1] :
( ~ r2(X1,X2)
| ~ id(X0,X2)
| id(X0,sK8(X1)) )
| ~ spl20_94 ),
inference(avatar_component_clause,[],[f809]) ).
fof(f4270,plain,
( spl20_355
| ~ spl20_39
| ~ spl20_92 ),
inference(avatar_split_clause,[],[f855,f801,f324,f4268]) ).
fof(f4268,plain,
( spl20_355
<=> ! [X2,X0,X1] :
( ~ id(X0,X1)
| r1(sK2(X1))
| id(X2,sK1(X1))
| ~ id(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_355])]) ).
fof(f855,plain,
( ! [X2,X0,X1] :
( ~ id(X0,X1)
| r1(sK2(X1))
| id(X2,sK1(X1))
| ~ id(X2,X0) )
| ~ spl20_39
| ~ spl20_92 ),
inference(resolution,[],[f802,f325]) ).
fof(f4266,plain,
( spl20_354
| ~ spl20_85
| ~ spl20_87 ),
inference(avatar_split_clause,[],[f829,f781,f725,f4264]) ).
fof(f4264,plain,
( spl20_354
<=> ! [X2,X0,X1] :
( ~ r1(sK18(X0,X1))
| id(X2,sK2(X2))
| ~ r3(X0,X1,sK1(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_354])]) ).
fof(f829,plain,
( ! [X2,X0,X1] :
( ~ r1(sK18(X0,X1))
| id(X2,sK2(X2))
| ~ r3(X0,X1,sK1(X2)) )
| ~ spl20_85
| ~ spl20_87 ),
inference(resolution,[],[f782,f726]) ).
fof(f4262,plain,
( spl20_353
| ~ spl20_84
| ~ spl20_87 ),
inference(avatar_split_clause,[],[f828,f781,f721,f4260]) ).
fof(f4260,plain,
( spl20_353
<=> ! [X2,X0,X1] :
( ~ r1(sK17(X0,X1))
| id(X2,sK2(X2))
| ~ r4(X0,X1,sK1(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_353])]) ).
fof(f828,plain,
( ! [X2,X0,X1] :
( ~ r1(sK17(X0,X1))
| id(X2,sK2(X2))
| ~ r4(X0,X1,sK1(X2)) )
| ~ spl20_84
| ~ spl20_87 ),
inference(resolution,[],[f782,f722]) ).
fof(f4258,plain,
( spl20_352
| ~ spl20_79
| ~ spl20_83 ),
inference(avatar_split_clause,[],[f745,f717,f639,f4256]) ).
fof(f4256,plain,
( spl20_352
<=> ! [X0] :
( ~ r1(sK2(sK1(X0)))
| r1(sK2(X0))
| id(sK1(X0),sK1(sK1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_352])]) ).
fof(f717,plain,
( spl20_83
<=> ! [X0,X1] :
( ~ r1(X0)
| ~ id(X0,sK1(X1))
| r1(sK2(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_83])]) ).
fof(f745,plain,
( ! [X0] :
( ~ r1(sK2(sK1(X0)))
| r1(sK2(X0))
| id(sK1(X0),sK1(sK1(X0))) )
| ~ spl20_79
| ~ spl20_83 ),
inference(resolution,[],[f718,f640]) ).
fof(f718,plain,
( ! [X0,X1] :
( ~ id(X0,sK1(X1))
| ~ r1(X0)
| r1(sK2(X1)) )
| ~ spl20_83 ),
inference(avatar_component_clause,[],[f717]) ).
fof(f4254,plain,
( spl20_351
| ~ spl20_67
| ~ spl20_79 ),
inference(avatar_split_clause,[],[f681,f639,f539,f4252]) ).
fof(f4252,plain,
( spl20_351
<=> ! [X0,X1] :
( id(sK16(X0,X1),sK1(sK16(X0,X1)))
| ~ r1(sK2(sK16(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_351])]) ).
fof(f539,plain,
( spl20_67
<=> ! [X2,X0,X1] :
( ~ r1(X0)
| ~ id(X0,sK16(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_67])]) ).
fof(f681,plain,
( ! [X0,X1] :
( id(sK16(X0,X1),sK1(sK16(X0,X1)))
| ~ r1(sK2(sK16(X0,X1))) )
| ~ spl20_67
| ~ spl20_79 ),
inference(resolution,[],[f640,f540]) ).
fof(f540,plain,
( ! [X2,X0,X1] :
( ~ id(X0,sK16(X1,X2))
| ~ r1(X0) )
| ~ spl20_67 ),
inference(avatar_component_clause,[],[f539]) ).
fof(f4250,plain,
( spl20_350
| ~ spl20_68
| ~ spl20_79 ),
inference(avatar_split_clause,[],[f680,f639,f543,f4248]) ).
fof(f4248,plain,
( spl20_350
<=> ! [X0,X1] :
( id(sK13(X0,X1),sK1(sK13(X0,X1)))
| ~ r1(sK2(sK13(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_350])]) ).
fof(f543,plain,
( spl20_68
<=> ! [X2,X0,X1] :
( ~ r1(X0)
| ~ id(X0,sK13(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_68])]) ).
fof(f680,plain,
( ! [X0,X1] :
( id(sK13(X0,X1),sK1(sK13(X0,X1)))
| ~ r1(sK2(sK13(X0,X1))) )
| ~ spl20_68
| ~ spl20_79 ),
inference(resolution,[],[f640,f544]) ).
fof(f544,plain,
( ! [X2,X0,X1] :
( ~ id(X0,sK13(X1,X2))
| ~ r1(X0) )
| ~ spl20_68 ),
inference(avatar_component_clause,[],[f543]) ).
fof(f4246,plain,
( spl20_349
| ~ spl20_66
| ~ spl20_79 ),
inference(avatar_split_clause,[],[f679,f639,f535,f4244]) ).
fof(f4244,plain,
( spl20_349
<=> ! [X0,X1] :
( id(sK12(X0,X1),sK1(sK12(X0,X1)))
| ~ r1(sK2(sK12(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_349])]) ).
fof(f535,plain,
( spl20_66
<=> ! [X2,X0,X1] :
( ~ r1(X0)
| ~ id(X0,sK12(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_66])]) ).
fof(f679,plain,
( ! [X0,X1] :
( id(sK12(X0,X1),sK1(sK12(X0,X1)))
| ~ r1(sK2(sK12(X0,X1))) )
| ~ spl20_66
| ~ spl20_79 ),
inference(resolution,[],[f640,f536]) ).
fof(f536,plain,
( ! [X2,X0,X1] :
( ~ id(X0,sK12(X1,X2))
| ~ r1(X0) )
| ~ spl20_66 ),
inference(avatar_component_clause,[],[f535]) ).
fof(f4117,plain,
( spl20_348
| ~ spl20_153
| ~ spl20_336 ),
inference(avatar_split_clause,[],[f3730,f3680,f1482,f4115]) ).
fof(f4115,plain,
( spl20_348
<=> ! [X0,X1] :
( ~ r1(X0)
| ~ r1(sK3(sK3(sK14(X1,X0))))
| ~ r1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_348])]) ).
fof(f1482,plain,
( spl20_153
<=> ! [X0] : id(sK3(sK3(X0)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_153])]) ).
fof(f3730,plain,
( ! [X0,X1] :
( ~ r1(X0)
| ~ r1(sK3(sK3(sK14(X1,X0))))
| ~ r1(X1) )
| ~ spl20_153
| ~ spl20_336 ),
inference(resolution,[],[f3681,f1483]) ).
fof(f1483,plain,
( ! [X0] : id(sK3(sK3(X0)),X0)
| ~ spl20_153 ),
inference(avatar_component_clause,[],[f1482]) ).
fof(f3840,plain,
( spl20_347
| ~ spl20_5
| ~ spl20_336 ),
inference(avatar_split_clause,[],[f3729,f3680,f144,f3838]) ).
fof(f3838,plain,
( spl20_347
<=> ! [X0,X1] :
( ~ r1(X0)
| ~ r1(sK3(sK14(X1,X0)))
| ~ r1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_347])]) ).
fof(f3729,plain,
( ! [X0,X1] :
( ~ r1(X0)
| ~ r1(sK3(sK14(X1,X0)))
| ~ r1(X1) )
| ~ spl20_5
| ~ spl20_336 ),
inference(resolution,[],[f3681,f145]) ).
fof(f3722,plain,
( spl20_346
| ~ spl20_1
| ~ spl20_124 ),
inference(avatar_split_clause,[],[f1265,f1155,f128,f3720]) ).
fof(f3720,plain,
( spl20_346
<=> ! [X0,X3,X2,X1] :
( r3(X0,X1,sK14(X2,X3))
| ~ id(X3,X1)
| ~ id(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_346])]) ).
fof(f1265,plain,
( ! [X2,X3,X0,X1] :
( r3(X0,X1,sK14(X2,X3))
| ~ id(X3,X1)
| ~ id(X2,X0) )
| ~ spl20_1
| ~ spl20_124 ),
inference(resolution,[],[f1156,f129]) ).
fof(f3718,plain,
( spl20_345
| ~ spl20_1
| ~ spl20_123 ),
inference(avatar_split_clause,[],[f1253,f1151,f128,f3716]) ).
fof(f3716,plain,
( spl20_345
<=> ! [X2,X0,X1] :
( ~ id(sK3(X0),X1)
| r3(X2,sK4(X0),X1)
| ~ id(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_345])]) ).
fof(f1253,plain,
( ! [X2,X0,X1] :
( ~ id(sK3(X0),X1)
| r3(X2,sK4(X0),X1)
| ~ id(X0,X2) )
| ~ spl20_1
| ~ spl20_123 ),
inference(resolution,[],[f1152,f129]) ).
fof(f3714,plain,
( spl20_344
| ~ spl20_1
| ~ spl20_122 ),
inference(avatar_split_clause,[],[f1245,f1147,f128,f3712]) ).
fof(f3712,plain,
( spl20_344
<=> ! [X0,X3,X2,X1] :
( r3(X0,X1,sK14(X2,X3))
| ~ id(X1,X3)
| ~ id(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_344])]) ).
fof(f1245,plain,
( ! [X2,X3,X0,X1] :
( r3(X0,X1,sK14(X2,X3))
| ~ id(X1,X3)
| ~ id(X0,X2) )
| ~ spl20_1
| ~ spl20_122 ),
inference(resolution,[],[f1148,f129]) ).
fof(f3710,plain,
( spl20_343
| ~ spl20_1
| ~ spl20_120 ),
inference(avatar_split_clause,[],[f1237,f1139,f128,f3708]) ).
fof(f3708,plain,
( spl20_343
<=> ! [X2,X0,X1] :
( r3(X0,X1,sK3(X2))
| ~ id(X1,sK4(X2))
| ~ id(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_343])]) ).
fof(f1237,plain,
( ! [X2,X0,X1] :
( r3(X0,X1,sK3(X2))
| ~ id(X1,sK4(X2))
| ~ id(X0,X2) )
| ~ spl20_1
| ~ spl20_120 ),
inference(resolution,[],[f1140,f129]) ).
fof(f3706,plain,
( spl20_342
| ~ spl20_1
| ~ spl20_119 ),
inference(avatar_split_clause,[],[f1224,f1135,f128,f3704]) ).
fof(f3704,plain,
( spl20_342
<=> ! [X0,X3,X2,X1] :
( r4(X0,X1,sK10(X2,X3))
| ~ id(X3,X1)
| ~ id(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_342])]) ).
fof(f1224,plain,
( ! [X2,X3,X0,X1] :
( r4(X0,X1,sK10(X2,X3))
| ~ id(X3,X1)
| ~ id(X2,X0) )
| ~ spl20_1
| ~ spl20_119 ),
inference(resolution,[],[f1136,f129]) ).
fof(f3702,plain,
( spl20_341
| ~ spl20_1
| ~ spl20_118 ),
inference(avatar_split_clause,[],[f1212,f1131,f128,f3700]) ).
fof(f3700,plain,
( spl20_341
<=> ! [X2,X0,X1] :
( ~ id(sK5(X0),X1)
| r4(X2,sK7(X0),X1)
| ~ id(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_341])]) ).
fof(f1212,plain,
( ! [X2,X0,X1] :
( ~ id(sK5(X0),X1)
| r4(X2,sK7(X0),X1)
| ~ id(X0,X2) )
| ~ spl20_1
| ~ spl20_118 ),
inference(resolution,[],[f1132,f129]) ).
fof(f3698,plain,
( spl20_340
| ~ spl20_1
| ~ spl20_117 ),
inference(avatar_split_clause,[],[f1204,f1127,f128,f3696]) ).
fof(f3696,plain,
( spl20_340
<=> ! [X0,X3,X2,X1] :
( r4(X0,X1,sK10(X2,X3))
| ~ id(X1,X3)
| ~ id(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_340])]) ).
fof(f1204,plain,
( ! [X2,X3,X0,X1] :
( r4(X0,X1,sK10(X2,X3))
| ~ id(X1,X3)
| ~ id(X0,X2) )
| ~ spl20_1
| ~ spl20_117 ),
inference(resolution,[],[f1128,f129]) ).
fof(f3694,plain,
( spl20_339
| ~ spl20_1
| ~ spl20_116 ),
inference(avatar_split_clause,[],[f1196,f1123,f128,f3692]) ).
fof(f3692,plain,
( spl20_339
<=> ! [X2,X0,X1] :
( r4(X0,X1,sK5(X2))
| ~ id(X1,sK7(X2))
| ~ id(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_339])]) ).
fof(f1196,plain,
( ! [X2,X0,X1] :
( r4(X0,X1,sK5(X2))
| ~ id(X1,sK7(X2))
| ~ id(X0,X2) )
| ~ spl20_1
| ~ spl20_116 ),
inference(resolution,[],[f1124,f129]) ).
fof(f3690,plain,
( spl20_338
| ~ spl20_53
| ~ spl20_116 ),
inference(avatar_split_clause,[],[f1195,f1123,f458,f3688]) ).
fof(f3688,plain,
( spl20_338
<=> ! [X2,X0,X1] :
( r4(X0,X1,sK6(X2))
| ~ id(X1,sK7(X2))
| ~ id(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_338])]) ).
fof(f458,plain,
( spl20_53
<=> ! [X0] : id(sK6(X0),sK5(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_53])]) ).
fof(f1195,plain,
( ! [X2,X0,X1] :
( r4(X0,X1,sK6(X2))
| ~ id(X1,sK7(X2))
| ~ id(X0,X2) )
| ~ spl20_53
| ~ spl20_116 ),
inference(resolution,[],[f1124,f459]) ).
fof(f459,plain,
( ! [X0] : id(sK6(X0),sK5(X0))
| ~ spl20_53 ),
inference(avatar_component_clause,[],[f458]) ).
fof(f3686,plain,
( spl20_337
| ~ spl20_1
| ~ spl20_115 ),
inference(avatar_split_clause,[],[f1183,f1119,f128,f3684]) ).
fof(f3684,plain,
( spl20_337
<=> ! [X0,X1] :
( r2(X0,sK1(X1))
| ~ id(sK0(X1),X0)
| id(X1,sK2(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_337])]) ).
fof(f1183,plain,
( ! [X0,X1] :
( r2(X0,sK1(X1))
| ~ id(sK0(X1),X0)
| id(X1,sK2(X1)) )
| ~ spl20_1
| ~ spl20_115 ),
inference(resolution,[],[f1120,f129]) ).
fof(f3682,plain,
( spl20_336
| ~ spl20_202
| ~ spl20_297 ),
inference(avatar_split_clause,[],[f3431,f3032,f1906,f3680]) ).
fof(f1906,plain,
( spl20_202
<=> ! [X2,X0,X1] :
( ~ r1(X0)
| ~ r1(X1)
| ~ r2(X0,sK3(sK13(X2,X1)))
| ~ r1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_202])]) ).
fof(f3032,plain,
( spl20_297
<=> ! [X2,X0,X1] :
( r2(X0,sK3(sK13(X1,X2)))
| ~ id(X0,sK14(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_297])]) ).
fof(f3431,plain,
( ! [X2,X0,X1] :
( ~ id(X0,sK14(X1,X2))
| ~ r1(X2)
| ~ r1(X0)
| ~ r1(X1) )
| ~ spl20_202
| ~ spl20_297 ),
inference(resolution,[],[f3033,f1907]) ).
fof(f1907,plain,
( ! [X2,X0,X1] :
( ~ r2(X0,sK3(sK13(X2,X1)))
| ~ r1(X1)
| ~ r1(X0)
| ~ r1(X2) )
| ~ spl20_202 ),
inference(avatar_component_clause,[],[f1906]) ).
fof(f3033,plain,
( ! [X2,X0,X1] :
( r2(X0,sK3(sK13(X1,X2)))
| ~ id(X0,sK14(X1,X2)) )
| ~ spl20_297 ),
inference(avatar_component_clause,[],[f3032]) ).
fof(f3678,plain,
( spl20_335
| ~ spl20_1
| ~ spl20_114 ),
inference(avatar_split_clause,[],[f1174,f1115,f128,f3676]) ).
fof(f3676,plain,
( spl20_335
<=> ! [X0,X1] :
( r2(X0,sK1(X1))
| ~ id(X0,sK0(X1))
| id(X1,sK2(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_335])]) ).
fof(f1174,plain,
( ! [X0,X1] :
( r2(X0,sK1(X1))
| ~ id(X0,sK0(X1))
| id(X1,sK2(X1)) )
| ~ spl20_1
| ~ spl20_114 ),
inference(resolution,[],[f1116,f129]) ).
fof(f3674,plain,
( spl20_334
| ~ spl20_1
| ~ spl20_113 ),
inference(avatar_split_clause,[],[f1162,f1111,f128,f3672]) ).
fof(f3672,plain,
( spl20_334
<=> ! [X0,X1] :
( ~ r2(X0,sK1(X1))
| id(X0,sK0(X1))
| id(X1,sK2(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_334])]) ).
fof(f1162,plain,
( ! [X0,X1] :
( ~ r2(X0,sK1(X1))
| id(X0,sK0(X1))
| id(X1,sK2(X1)) )
| ~ spl20_1
| ~ spl20_113 ),
inference(resolution,[],[f1112,f129]) ).
fof(f3670,plain,
( spl20_333
| ~ spl20_36
| ~ spl20_112 ),
inference(avatar_split_clause,[],[f1104,f1065,f312,f3668]) ).
fof(f3668,plain,
( spl20_333
<=> ! [X0,X1] :
( r2(X0,sK3(sK1(X1)))
| ~ id(sK0(X1),X0)
| r1(sK2(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_333])]) ).
fof(f1065,plain,
( spl20_112
<=> ! [X2,X0,X1] :
( r2(X0,X1)
| ~ id(sK1(X2),X1)
| ~ id(sK0(X2),X0)
| r1(sK2(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_112])]) ).
fof(f1104,plain,
( ! [X0,X1] :
( r2(X0,sK3(sK1(X1)))
| ~ id(sK0(X1),X0)
| r1(sK2(X1)) )
| ~ spl20_36
| ~ spl20_112 ),
inference(resolution,[],[f1066,f313]) ).
fof(f1066,plain,
( ! [X2,X0,X1] :
( ~ id(sK1(X2),X1)
| r2(X0,X1)
| ~ id(sK0(X2),X0)
| r1(sK2(X2)) )
| ~ spl20_112 ),
inference(avatar_component_clause,[],[f1065]) ).
fof(f3666,plain,
( spl20_332
| ~ spl20_5
| ~ spl20_111 ),
inference(avatar_split_clause,[],[f1089,f1061,f144,f3664]) ).
fof(f3664,plain,
( spl20_332
<=> ! [X0,X1] :
( r2(X0,sK3(sK1(X1)))
| ~ id(X0,sK0(X1))
| r1(sK2(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_332])]) ).
fof(f1089,plain,
( ! [X0,X1] :
( r2(X0,sK3(sK1(X1)))
| ~ id(X0,sK0(X1))
| r1(sK2(X1)) )
| ~ spl20_5
| ~ spl20_111 ),
inference(resolution,[],[f1062,f145]) ).
fof(f3662,plain,
( spl20_331
| ~ spl20_5
| ~ spl20_110 ),
inference(avatar_split_clause,[],[f1075,f1057,f144,f3660]) ).
fof(f3660,plain,
( spl20_331
<=> ! [X0,X1] :
( ~ r2(X0,sK3(sK1(X1)))
| id(X0,sK0(X1))
| r1(sK2(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_331])]) ).
fof(f1075,plain,
( ! [X0,X1] :
( ~ r2(X0,sK3(sK1(X1)))
| id(X0,sK0(X1))
| r1(sK2(X1)) )
| ~ spl20_5
| ~ spl20_110 ),
inference(resolution,[],[f1058,f145]) ).
fof(f3658,plain,
( spl20_330
| ~ spl20_10
| ~ spl20_109 ),
inference(avatar_split_clause,[],[f1055,f1023,f164,f3656]) ).
fof(f3656,plain,
( spl20_330
<=> ! [X2,X0,X1] :
( ~ id(sK13(X0,X1),X2)
| r2(sK19,X2)
| ~ r1(sK14(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_330])]) ).
fof(f1055,plain,
( ! [X2,X0,X1] :
( ~ id(sK13(X0,X1),X2)
| r2(sK19,X2)
| ~ r1(sK14(X0,X1)) )
| ~ spl20_10
| ~ spl20_109 ),
inference(resolution,[],[f1024,f165]) ).
fof(f3654,plain,
( spl20_329
| ~ spl20_31
| ~ spl20_105 ),
inference(avatar_split_clause,[],[f1009,f996,f283,f3652]) ).
fof(f3652,plain,
( spl20_329
<=> ! [X2,X0,X1] :
( ~ id(X0,sK9(X1,X2))
| id(X0,sK18(sK10(X1,X2),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_329])]) ).
fof(f283,plain,
( spl20_31
<=> ! [X0,X1] : r3(sK10(X0,X1),X0,sK9(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_31])]) ).
fof(f996,plain,
( spl20_105
<=> ! [X0,X3,X2,X1] :
( id(X0,sK18(X1,X2))
| ~ id(X0,X3)
| ~ r3(X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_105])]) ).
fof(f1009,plain,
( ! [X2,X0,X1] :
( ~ id(X0,sK9(X1,X2))
| id(X0,sK18(sK10(X1,X2),X1)) )
| ~ spl20_31
| ~ spl20_105 ),
inference(resolution,[],[f997,f284]) ).
fof(f284,plain,
( ! [X0,X1] : r3(sK10(X0,X1),X0,sK9(X0,X1))
| ~ spl20_31 ),
inference(avatar_component_clause,[],[f283]) ).
fof(f997,plain,
( ! [X2,X3,X0,X1] :
( ~ r3(X1,X2,X3)
| ~ id(X0,X3)
| id(X0,sK18(X1,X2)) )
| ~ spl20_105 ),
inference(avatar_component_clause,[],[f996]) ).
fof(f3650,plain,
( spl20_328
| ~ spl20_32
| ~ spl20_105 ),
inference(avatar_split_clause,[],[f1008,f996,f287,f3648]) ).
fof(f3648,plain,
( spl20_328
<=> ! [X2,X0,X1] :
( ~ id(X0,sK15(X1,X2))
| id(X0,sK18(X1,sK16(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_328])]) ).
fof(f287,plain,
( spl20_32
<=> ! [X0,X1] : r3(X0,sK16(X0,X1),sK15(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_32])]) ).
fof(f1008,plain,
( ! [X2,X0,X1] :
( ~ id(X0,sK15(X1,X2))
| id(X0,sK18(X1,sK16(X1,X2))) )
| ~ spl20_32
| ~ spl20_105 ),
inference(resolution,[],[f997,f288]) ).
fof(f288,plain,
( ! [X0,X1] : r3(X0,sK16(X0,X1),sK15(X0,X1))
| ~ spl20_32 ),
inference(avatar_component_clause,[],[f287]) ).
fof(f3646,plain,
( spl20_327
| ~ spl20_30
| ~ spl20_104 ),
inference(avatar_split_clause,[],[f1003,f992,f279,f3644]) ).
fof(f3644,plain,
( spl20_327
<=> ! [X2,X0,X1] :
( ~ id(X0,sK11(X1,X2))
| id(X0,sK17(X1,sK12(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_327])]) ).
fof(f279,plain,
( spl20_30
<=> ! [X0,X1] : r4(X0,sK12(X0,X1),sK11(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_30])]) ).
fof(f992,plain,
( spl20_104
<=> ! [X0,X3,X2,X1] :
( id(X0,sK17(X1,X2))
| ~ id(X0,X3)
| ~ r4(X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_104])]) ).
fof(f1003,plain,
( ! [X2,X0,X1] :
( ~ id(X0,sK11(X1,X2))
| id(X0,sK17(X1,sK12(X1,X2))) )
| ~ spl20_30
| ~ spl20_104 ),
inference(resolution,[],[f993,f280]) ).
fof(f280,plain,
( ! [X0,X1] : r4(X0,sK12(X0,X1),sK11(X0,X1))
| ~ spl20_30 ),
inference(avatar_component_clause,[],[f279]) ).
fof(f993,plain,
( ! [X2,X3,X0,X1] :
( ~ r4(X1,X2,X3)
| ~ id(X0,X3)
| id(X0,sK17(X1,X2)) )
| ~ spl20_104 ),
inference(avatar_component_clause,[],[f992]) ).
fof(f3642,plain,
( spl20_326
| ~ spl20_56
| ~ spl20_307 ),
inference(avatar_split_clause,[],[f3598,f3562,f470,f3640]) ).
fof(f3640,plain,
( spl20_326
<=> ! [X0,X1] :
( ~ id(sK13(X0,X1),sK19)
| ~ r1(sK14(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_326])]) ).
fof(f3562,plain,
( spl20_307
<=> ! [X0,X1] :
( ~ id(sK13(X0,X1),sK19)
| ~ r1(sK3(sK14(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_307])]) ).
fof(f3598,plain,
( ! [X0,X1] :
( ~ id(sK13(X0,X1),sK19)
| ~ r1(sK14(X0,X1)) )
| ~ spl20_56
| ~ spl20_307 ),
inference(resolution,[],[f3563,f471]) ).
fof(f3563,plain,
( ! [X0,X1] :
( ~ r1(sK3(sK14(X0,X1)))
| ~ id(sK13(X0,X1),sK19) )
| ~ spl20_307 ),
inference(avatar_component_clause,[],[f3562]) ).
fof(f3638,plain,
( spl20_325
| ~ spl20_19
| ~ spl20_103 ),
inference(avatar_split_clause,[],[f987,f913,f210,f3636]) ).
fof(f3636,plain,
( spl20_325
<=> ! [X0,X3,X2,X1] :
( r2(X0,sK8(X1))
| ~ id(X2,X0)
| ~ r2(X1,sK16(X3,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_325])]) ).
fof(f987,plain,
( ! [X2,X3,X0,X1] :
( r2(X0,sK8(X1))
| ~ id(X2,X0)
| ~ r2(X1,sK16(X3,X2)) )
| ~ spl20_19
| ~ spl20_103 ),
inference(resolution,[],[f914,f211]) ).
fof(f3634,plain,
( spl20_324
| ~ spl20_19
| ~ spl20_102 ),
inference(avatar_split_clause,[],[f975,f909,f210,f3632]) ).
fof(f3632,plain,
( spl20_324
<=> ! [X0,X3,X2,X1] :
( r2(X0,sK8(X1))
| ~ id(X2,X0)
| ~ r2(X1,sK12(X3,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_324])]) ).
fof(f975,plain,
( ! [X2,X3,X0,X1] :
( r2(X0,sK8(X1))
| ~ id(X2,X0)
| ~ r2(X1,sK12(X3,X2)) )
| ~ spl20_19
| ~ spl20_102 ),
inference(resolution,[],[f910,f211]) ).
fof(f3630,plain,
( spl20_323
| ~ spl20_62
| ~ spl20_101 ),
inference(avatar_split_clause,[],[f964,f905,f519,f3628]) ).
fof(f3628,plain,
( spl20_323
<=> ! [X0,X3,X2,X1] :
( r2(X0,sK8(X1))
| ~ id(X0,X2)
| ~ r2(X1,sK16(X3,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_323])]) ).
fof(f964,plain,
( ! [X2,X3,X0,X1] :
( r2(X0,sK8(X1))
| ~ id(X0,X2)
| ~ r2(X1,sK16(X3,X2)) )
| ~ spl20_62
| ~ spl20_101 ),
inference(resolution,[],[f906,f520]) ).
fof(f3626,plain,
( spl20_322
| ~ spl20_62
| ~ spl20_100 ),
inference(avatar_split_clause,[],[f956,f901,f519,f3624]) ).
fof(f3624,plain,
( spl20_322
<=> ! [X0,X3,X2,X1] :
( r2(X0,sK8(X1))
| ~ id(X0,X2)
| ~ r2(X1,sK12(X3,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_322])]) ).
fof(f956,plain,
( ! [X2,X3,X0,X1] :
( r2(X0,sK8(X1))
| ~ id(X0,X2)
| ~ r2(X1,sK12(X3,X2)) )
| ~ spl20_62
| ~ spl20_100 ),
inference(resolution,[],[f902,f520]) ).
fof(f3622,plain,
( spl20_321
| ~ spl20_62
| ~ spl20_99 ),
inference(avatar_split_clause,[],[f948,f897,f519,f3620]) ).
fof(f3620,plain,
( spl20_321
<=> ! [X0,X3,X2,X1] :
( ~ r2(X0,sK8(X1))
| id(X0,X2)
| ~ r2(X1,sK16(X3,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_321])]) ).
fof(f948,plain,
( ! [X2,X3,X0,X1] :
( ~ r2(X0,sK8(X1))
| id(X0,X2)
| ~ r2(X1,sK16(X3,X2)) )
| ~ spl20_62
| ~ spl20_99 ),
inference(resolution,[],[f898,f520]) ).
fof(f3618,plain,
( spl20_320
| ~ spl20_62
| ~ spl20_98 ),
inference(avatar_split_clause,[],[f940,f893,f519,f3616]) ).
fof(f3616,plain,
( spl20_320
<=> ! [X0,X3,X2,X1] :
( ~ r2(X0,sK8(X1))
| id(X0,X2)
| ~ r2(X1,sK12(X3,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_320])]) ).
fof(f940,plain,
( ! [X2,X3,X0,X1] :
( ~ r2(X0,sK8(X1))
| id(X0,X2)
| ~ r2(X1,sK12(X3,X2)) )
| ~ spl20_62
| ~ spl20_98 ),
inference(resolution,[],[f894,f520]) ).
fof(f3614,plain,
( spl20_319
| ~ spl20_21
| ~ spl20_97 ),
inference(avatar_split_clause,[],[f929,f889,f218,f3612]) ).
fof(f3612,plain,
( spl20_319
<=> ! [X0,X1] :
( id(X1,sK1(X1))
| ~ id(X0,X1)
| ~ r1(sK2(X1))
| r1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_319])]) ).
fof(f218,plain,
( spl20_21
<=> ! [X0,X1] :
( r1(X0)
| ~ r1(X1)
| ~ id(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_21])]) ).
fof(f929,plain,
( ! [X0,X1] :
( id(X1,sK1(X1))
| ~ id(X0,X1)
| ~ r1(sK2(X1))
| r1(X0) )
| ~ spl20_21
| ~ spl20_97 ),
inference(resolution,[],[f890,f219]) ).
fof(f219,plain,
( ! [X0,X1] :
( ~ id(X0,X1)
| ~ r1(X1)
| r1(X0) )
| ~ spl20_21 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f3610,plain,
( spl20_318
| ~ spl20_22
| ~ spl20_97 ),
inference(avatar_split_clause,[],[f920,f889,f222,f3608]) ).
fof(f3608,plain,
( spl20_318
<=> ! [X0,X1] :
( id(X1,sK2(X0))
| ~ id(X1,X0)
| ~ r1(X0)
| r1(sK1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_318])]) ).
fof(f222,plain,
( spl20_22
<=> ! [X0,X1] :
( r1(X1)
| ~ r1(X0)
| ~ id(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_22])]) ).
fof(f920,plain,
( ! [X0,X1] :
( id(X1,sK2(X0))
| ~ id(X1,X0)
| ~ r1(X0)
| r1(sK1(X0)) )
| ~ spl20_22
| ~ spl20_97 ),
inference(resolution,[],[f890,f223]) ).
fof(f223,plain,
( ! [X0,X1] :
( ~ id(X0,X1)
| ~ r1(X0)
| r1(X1) )
| ~ spl20_22 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f3606,plain,
( spl20_317
| ~ spl20_28
| ~ spl20_94 ),
inference(avatar_split_clause,[],[f869,f809,f271,f3604]) ).
fof(f3604,plain,
( spl20_317
<=> ! [X0,X1] :
( ~ id(X0,sK1(X1))
| id(X0,sK8(sK0(X1)))
| r1(sK2(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_317])]) ).
fof(f271,plain,
( spl20_28
<=> ! [X0] :
( r2(sK0(X0),sK1(X0))
| r1(sK2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_28])]) ).
fof(f869,plain,
( ! [X0,X1] :
( ~ id(X0,sK1(X1))
| id(X0,sK8(sK0(X1)))
| r1(sK2(X1)) )
| ~ spl20_28
| ~ spl20_94 ),
inference(resolution,[],[f810,f272]) ).
fof(f272,plain,
( ! [X0] :
( r2(sK0(X0),sK1(X0))
| r1(sK2(X0)) )
| ~ spl20_28 ),
inference(avatar_component_clause,[],[f271]) ).
fof(f3602,plain,
( spl20_316
| ~ spl20_38
| ~ spl20_85 ),
inference(avatar_split_clause,[],[f778,f725,f320,f3600]) ).
fof(f3600,plain,
( spl20_316
<=> ! [X0,X3,X2,X1] :
( ~ r3(X0,X1,sK18(X2,X3))
| r3(X2,X3,sK18(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_316])]) ).
fof(f320,plain,
( spl20_38
<=> ! [X0,X1,X3] :
( ~ id(X3,sK18(X0,X1))
| r3(X0,X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_38])]) ).
fof(f778,plain,
( ! [X2,X3,X0,X1] :
( ~ r3(X0,X1,sK18(X2,X3))
| r3(X2,X3,sK18(X0,X1)) )
| ~ spl20_38
| ~ spl20_85 ),
inference(resolution,[],[f726,f321]) ).
fof(f321,plain,
( ! [X3,X0,X1] :
( ~ id(X3,sK18(X0,X1))
| r3(X0,X1,X3) )
| ~ spl20_38 ),
inference(avatar_component_clause,[],[f320]) ).
fof(f3597,plain,
( spl20_315
| ~ spl20_35
| ~ spl20_85 ),
inference(avatar_split_clause,[],[f777,f725,f308,f3595]) ).
fof(f3595,plain,
( spl20_315
<=> ! [X0,X3,X2,X1] :
( ~ r3(X0,X1,sK17(X2,X3))
| r4(X2,X3,sK18(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_315])]) ).
fof(f308,plain,
( spl20_35
<=> ! [X0,X1,X3] :
( ~ id(X3,sK17(X0,X1))
| r4(X0,X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_35])]) ).
fof(f777,plain,
( ! [X2,X3,X0,X1] :
( ~ r3(X0,X1,sK17(X2,X3))
| r4(X2,X3,sK18(X0,X1)) )
| ~ spl20_35
| ~ spl20_85 ),
inference(resolution,[],[f726,f309]) ).
fof(f309,plain,
( ! [X3,X0,X1] :
( ~ id(X3,sK17(X0,X1))
| r4(X0,X1,X3) )
| ~ spl20_35 ),
inference(avatar_component_clause,[],[f308]) ).
fof(f3593,plain,
( spl20_314
| ~ spl20_83
| ~ spl20_85 ),
inference(avatar_split_clause,[],[f770,f725,f717,f3591]) ).
fof(f3591,plain,
( spl20_314
<=> ! [X2,X0,X1] :
( ~ r3(X0,X1,sK1(X2))
| ~ r1(sK18(X0,X1))
| r1(sK2(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_314])]) ).
fof(f770,plain,
( ! [X2,X0,X1] :
( ~ r3(X0,X1,sK1(X2))
| ~ r1(sK18(X0,X1))
| r1(sK2(X2)) )
| ~ spl20_83
| ~ spl20_85 ),
inference(resolution,[],[f726,f718]) ).
fof(f3589,plain,
( spl20_313
| ~ spl20_39
| ~ spl20_85 ),
inference(avatar_split_clause,[],[f766,f725,f324,f3587]) ).
fof(f3587,plain,
( spl20_313
<=> ! [X0,X3,X2,X1] :
( ~ r3(X0,X1,X2)
| id(X3,X2)
| ~ id(X3,sK18(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_313])]) ).
fof(f766,plain,
( ! [X2,X3,X0,X1] :
( ~ r3(X0,X1,X2)
| id(X3,X2)
| ~ id(X3,sK18(X0,X1)) )
| ~ spl20_39
| ~ spl20_85 ),
inference(resolution,[],[f726,f325]) ).
fof(f3585,plain,
( spl20_312
| ~ spl20_38
| ~ spl20_84 ),
inference(avatar_split_clause,[],[f763,f721,f320,f3583]) ).
fof(f3583,plain,
( spl20_312
<=> ! [X0,X3,X2,X1] :
( ~ r4(X0,X1,sK18(X2,X3))
| r3(X2,X3,sK17(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_312])]) ).
fof(f763,plain,
( ! [X2,X3,X0,X1] :
( ~ r4(X0,X1,sK18(X2,X3))
| r3(X2,X3,sK17(X0,X1)) )
| ~ spl20_38
| ~ spl20_84 ),
inference(resolution,[],[f722,f321]) ).
fof(f3581,plain,
( spl20_311
| ~ spl20_35
| ~ spl20_84 ),
inference(avatar_split_clause,[],[f762,f721,f308,f3579]) ).
fof(f3579,plain,
( spl20_311
<=> ! [X0,X3,X2,X1] :
( ~ r4(X0,X1,sK17(X2,X3))
| r4(X2,X3,sK17(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_311])]) ).
fof(f762,plain,
( ! [X2,X3,X0,X1] :
( ~ r4(X0,X1,sK17(X2,X3))
| r4(X2,X3,sK17(X0,X1)) )
| ~ spl20_35
| ~ spl20_84 ),
inference(resolution,[],[f722,f309]) ).
fof(f3577,plain,
( spl20_310
| ~ spl20_83
| ~ spl20_84 ),
inference(avatar_split_clause,[],[f755,f721,f717,f3575]) ).
fof(f3575,plain,
( spl20_310
<=> ! [X2,X0,X1] :
( ~ r4(X0,X1,sK1(X2))
| ~ r1(sK17(X0,X1))
| r1(sK2(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_310])]) ).
fof(f755,plain,
( ! [X2,X0,X1] :
( ~ r4(X0,X1,sK1(X2))
| ~ r1(sK17(X0,X1))
| r1(sK2(X2)) )
| ~ spl20_83
| ~ spl20_84 ),
inference(resolution,[],[f722,f718]) ).
fof(f3573,plain,
( spl20_309
| ~ spl20_39
| ~ spl20_84 ),
inference(avatar_split_clause,[],[f751,f721,f324,f3571]) ).
fof(f3571,plain,
( spl20_309
<=> ! [X0,X3,X2,X1] :
( ~ r4(X0,X1,X2)
| id(X3,X2)
| ~ id(X3,sK17(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_309])]) ).
fof(f751,plain,
( ! [X2,X3,X0,X1] :
( ~ r4(X0,X1,X2)
| id(X3,X2)
| ~ id(X3,sK17(X0,X1)) )
| ~ spl20_39
| ~ spl20_84 ),
inference(resolution,[],[f722,f325]) ).
fof(f3568,plain,
( spl20_308
| spl20_133
| ~ spl20_10
| ~ spl20_50 ),
inference(avatar_split_clause,[],[f455,f437,f164,f1372,f3566]) ).
fof(f3566,plain,
( spl20_308
<=> ! [X2,X1,X3] :
( ~ r2(X1,X2)
| ~ r1(sK9(X2,X3))
| ~ r1(sK10(X2,X3))
| ~ r1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_308])]) ).
fof(f1372,plain,
( spl20_133
<=> ! [X0] :
( ~ r1(X0)
| ~ r2(X0,sK19) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_133])]) ).
fof(f437,plain,
( spl20_50
<=> ! [X4,X0,X3,X2,X1] :
( ~ r1(X0)
| ~ id(sK9(X1,X2),X3)
| ~ r2(X4,X1)
| ~ r1(X4)
| ~ r2(X0,X3)
| ~ r1(sK10(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_50])]) ).
fof(f455,plain,
( ! [X2,X3,X0,X1] :
( ~ r1(X0)
| ~ r2(X1,X2)
| ~ r1(X1)
| ~ r2(X0,sK19)
| ~ r1(sK10(X2,X3))
| ~ r1(sK9(X2,X3)) )
| ~ spl20_10
| ~ spl20_50 ),
inference(resolution,[],[f438,f165]) ).
fof(f438,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ id(sK9(X1,X2),X3)
| ~ r1(X0)
| ~ r2(X4,X1)
| ~ r1(X4)
| ~ r2(X0,X3)
| ~ r1(sK10(X1,X2)) )
| ~ spl20_50 ),
inference(avatar_component_clause,[],[f437]) ).
fof(f3564,plain,
( spl20_307
| ~ spl20_133
| ~ spl20_298 ),
inference(avatar_split_clause,[],[f3486,f3036,f1372,f3562]) ).
fof(f3036,plain,
( spl20_298
<=> ! [X2,X0,X1] :
( ~ id(sK13(X0,X1),X2)
| r2(sK3(sK14(X0,X1)),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_298])]) ).
fof(f3486,plain,
( ! [X0,X1] :
( ~ id(sK13(X0,X1),sK19)
| ~ r1(sK3(sK14(X0,X1))) )
| ~ spl20_133
| ~ spl20_298 ),
inference(resolution,[],[f3037,f1373]) ).
fof(f1373,plain,
( ! [X0] :
( ~ r2(X0,sK19)
| ~ r1(X0) )
| ~ spl20_133 ),
inference(avatar_component_clause,[],[f1372]) ).
fof(f3037,plain,
( ! [X2,X0,X1] :
( r2(sK3(sK14(X0,X1)),X2)
| ~ id(sK13(X0,X1),X2) )
| ~ spl20_298 ),
inference(avatar_component_clause,[],[f3036]) ).
fof(f3560,plain,
( spl20_306
| ~ spl20_39
| ~ spl20_82 ),
inference(avatar_split_clause,[],[f733,f713,f324,f3558]) ).
fof(f3558,plain,
( spl20_306
<=> ! [X0,X1] :
( ~ r1(sK2(X0))
| r1(X0)
| id(X1,sK1(X0))
| ~ id(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_306])]) ).
fof(f713,plain,
( spl20_82
<=> ! [X0] :
( id(X0,sK1(X0))
| ~ r1(sK2(X0))
| r1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_82])]) ).
fof(f733,plain,
( ! [X0,X1] :
( ~ r1(sK2(X0))
| r1(X0)
| id(X1,sK1(X0))
| ~ id(X1,X0) )
| ~ spl20_39
| ~ spl20_82 ),
inference(resolution,[],[f714,f325]) ).
fof(f714,plain,
( ! [X0] :
( id(X0,sK1(X0))
| ~ r1(sK2(X0))
| r1(X0) )
| ~ spl20_82 ),
inference(avatar_component_clause,[],[f713]) ).
fof(f3556,plain,
( spl20_305
| ~ spl20_79
| ~ spl20_80 ),
inference(avatar_split_clause,[],[f688,f643,f639,f3554]) ).
fof(f3554,plain,
( spl20_305
<=> ! [X0] :
( id(sK2(sK5(X0)),sK6(X0))
| id(sK5(X0),sK1(sK5(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_305])]) ).
fof(f643,plain,
( spl20_80
<=> ! [X0,X1] :
( id(X0,sK6(X1))
| ~ id(X0,sK5(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_80])]) ).
fof(f688,plain,
( ! [X0] :
( id(sK2(sK5(X0)),sK6(X0))
| id(sK5(X0),sK1(sK5(X0))) )
| ~ spl20_79
| ~ spl20_80 ),
inference(resolution,[],[f644,f640]) ).
fof(f644,plain,
( ! [X0,X1] :
( ~ id(X0,sK5(X1))
| id(X0,sK6(X1)) )
| ~ spl20_80 ),
inference(avatar_component_clause,[],[f643]) ).
fof(f3552,plain,
( spl20_304
| ~ spl20_38
| ~ spl20_61 ),
inference(avatar_split_clause,[],[f564,f515,f320,f3550]) ).
fof(f3550,plain,
( spl20_304
<=> ! [X0,X1] :
( r1(sK2(sK18(X0,X1)))
| r3(X0,X1,sK1(sK18(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_304])]) ).
fof(f564,plain,
( ! [X0,X1] :
( r1(sK2(sK18(X0,X1)))
| r3(X0,X1,sK1(sK18(X0,X1))) )
| ~ spl20_38
| ~ spl20_61 ),
inference(resolution,[],[f516,f321]) ).
fof(f3548,plain,
( spl20_303
| ~ spl20_35
| ~ spl20_61 ),
inference(avatar_split_clause,[],[f563,f515,f308,f3546]) ).
fof(f3546,plain,
( spl20_303
<=> ! [X0,X1] :
( r1(sK2(sK17(X0,X1)))
| r4(X0,X1,sK1(sK17(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_303])]) ).
fof(f563,plain,
( ! [X0,X1] :
( r1(sK2(sK17(X0,X1)))
| r4(X0,X1,sK1(sK17(X0,X1))) )
| ~ spl20_35
| ~ spl20_61 ),
inference(resolution,[],[f516,f309]) ).
fof(f3054,plain,
( spl20_302
| ~ spl20_36
| ~ spl20_120 ),
inference(avatar_split_clause,[],[f1236,f1139,f312,f3052]) ).
fof(f3052,plain,
( spl20_302
<=> ! [X2,X0,X1] :
( r3(X0,X1,X2)
| ~ id(X1,sK4(X2))
| ~ id(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_302])]) ).
fof(f1236,plain,
( ! [X2,X0,X1] :
( r3(X0,X1,X2)
| ~ id(X1,sK4(X2))
| ~ id(X0,X2) )
| ~ spl20_36
| ~ spl20_120 ),
inference(resolution,[],[f1140,f313]) ).
fof(f3050,plain,
( spl20_301
| ~ spl20_1
| ~ spl20_112 ),
inference(avatar_split_clause,[],[f1097,f1065,f128,f3048]) ).
fof(f3048,plain,
( spl20_301
<=> ! [X0,X1] :
( r2(X0,sK1(X1))
| ~ id(sK0(X1),X0)
| r1(sK2(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_301])]) ).
fof(f1097,plain,
( ! [X0,X1] :
( r2(X0,sK1(X1))
| ~ id(sK0(X1),X0)
| r1(sK2(X1)) )
| ~ spl20_1
| ~ spl20_112 ),
inference(resolution,[],[f1066,f129]) ).
fof(f3046,plain,
( spl20_300
| ~ spl20_1
| ~ spl20_111 ),
inference(avatar_split_clause,[],[f1086,f1061,f128,f3044]) ).
fof(f3044,plain,
( spl20_300
<=> ! [X0,X1] :
( r2(X0,sK1(X1))
| ~ id(X0,sK0(X1))
| r1(sK2(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_300])]) ).
fof(f1086,plain,
( ! [X0,X1] :
( r2(X0,sK1(X1))
| ~ id(X0,sK0(X1))
| r1(sK2(X1)) )
| ~ spl20_1
| ~ spl20_111 ),
inference(resolution,[],[f1062,f129]) ).
fof(f3042,plain,
( spl20_299
| ~ spl20_1
| ~ spl20_110 ),
inference(avatar_split_clause,[],[f1072,f1057,f128,f3040]) ).
fof(f3040,plain,
( spl20_299
<=> ! [X0,X1] :
( ~ r2(X0,sK1(X1))
| id(X0,sK0(X1))
| r1(sK2(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_299])]) ).
fof(f1072,plain,
( ! [X0,X1] :
( ~ r2(X0,sK1(X1))
| id(X0,sK0(X1))
| r1(sK2(X1)) )
| ~ spl20_1
| ~ spl20_110 ),
inference(resolution,[],[f1058,f129]) ).
fof(f3038,plain,
( spl20_298
| ~ spl20_36
| ~ spl20_109 ),
inference(avatar_split_clause,[],[f1051,f1023,f312,f3036]) ).
fof(f1051,plain,
( ! [X2,X0,X1] :
( ~ id(sK13(X0,X1),X2)
| r2(sK3(sK14(X0,X1)),X2) )
| ~ spl20_36
| ~ spl20_109 ),
inference(resolution,[],[f1024,f313]) ).
fof(f3034,plain,
( spl20_297
| ~ spl20_5
| ~ spl20_108 ),
inference(avatar_split_clause,[],[f1039,f1019,f144,f3032]) ).
fof(f1039,plain,
( ! [X2,X0,X1] :
( r2(X0,sK3(sK13(X1,X2)))
| ~ id(X0,sK14(X1,X2)) )
| ~ spl20_5
| ~ spl20_108 ),
inference(resolution,[],[f1020,f145]) ).
fof(f3030,plain,
( spl20_296
| ~ spl20_5
| ~ spl20_107 ),
inference(avatar_split_clause,[],[f1030,f1015,f144,f3028]) ).
fof(f3028,plain,
( spl20_296
<=> ! [X2,X0,X1] :
( ~ r2(X0,sK3(sK13(X1,X2)))
| id(X0,sK14(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_296])]) ).
fof(f1030,plain,
( ! [X2,X0,X1] :
( ~ r2(X0,sK3(sK13(X1,X2)))
| id(X0,sK14(X1,X2)) )
| ~ spl20_5
| ~ spl20_107 ),
inference(resolution,[],[f1016,f145]) ).
fof(f3026,plain,
( spl20_295
| ~ spl20_15
| ~ spl20_97 ),
inference(avatar_split_clause,[],[f930,f889,f188,f3024]) ).
fof(f3024,plain,
( spl20_295
<=> ! [X0,X1] :
( id(X1,sK1(X1))
| ~ id(X0,X1)
| id(sK2(X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_295])]) ).
fof(f188,plain,
( spl20_15
<=> ! [X0,X1] :
( id(X1,X0)
| ~ id(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_15])]) ).
fof(f930,plain,
( ! [X0,X1] :
( id(X1,sK1(X1))
| ~ id(X0,X1)
| id(sK2(X1),X0) )
| ~ spl20_15
| ~ spl20_97 ),
inference(resolution,[],[f890,f189]) ).
fof(f189,plain,
( ! [X0,X1] :
( ~ id(X0,X1)
| id(X1,X0) )
| ~ spl20_15 ),
inference(avatar_component_clause,[],[f188]) ).
fof(f3022,plain,
( spl20_294
| ~ spl20_15
| ~ spl20_97 ),
inference(avatar_split_clause,[],[f922,f889,f188,f3020]) ).
fof(f3020,plain,
( spl20_294
<=> ! [X0,X1] :
( id(X1,sK2(X0))
| ~ id(X1,X0)
| id(sK1(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_294])]) ).
fof(f922,plain,
( ! [X0,X1] :
( id(X1,sK2(X0))
| ~ id(X1,X0)
| id(sK1(X0),X0) )
| ~ spl20_15
| ~ spl20_97 ),
inference(resolution,[],[f890,f189]) ).
fof(f3018,plain,
( spl20_293
| ~ spl20_62
| ~ spl20_96 ),
inference(avatar_split_clause,[],[f885,f817,f519,f3016]) ).
fof(f3016,plain,
( spl20_293
<=> ! [X2,X0,X1] :
( id(sK8(X0),sK13(X1,X2))
| ~ r2(X0,sK15(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_293])]) ).
fof(f885,plain,
( ! [X2,X0,X1] :
( id(sK8(X0),sK13(X1,X2))
| ~ r2(X0,sK15(X1,X2)) )
| ~ spl20_62
| ~ spl20_96 ),
inference(resolution,[],[f818,f520]) ).
fof(f3014,plain,
( spl20_292
| ~ spl20_62
| ~ spl20_95 ),
inference(avatar_split_clause,[],[f876,f813,f519,f3012]) ).
fof(f3012,plain,
( spl20_292
<=> ! [X2,X0,X1] :
( id(sK8(X0),sK9(X1,X2))
| ~ r2(X0,sK11(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_292])]) ).
fof(f876,plain,
( ! [X2,X0,X1] :
( id(sK8(X0),sK9(X1,X2))
| ~ r2(X0,sK11(X1,X2)) )
| ~ spl20_62
| ~ spl20_95 ),
inference(resolution,[],[f814,f520]) ).
fof(f3010,plain,
( spl20_291
| ~ spl20_25
| ~ spl20_94 ),
inference(avatar_split_clause,[],[f867,f809,f234,f3008]) ).
fof(f3008,plain,
( spl20_291
<=> ! [X2,X0,X1] :
( ~ id(X0,sK13(X1,X2))
| id(X0,sK8(sK14(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_291])]) ).
fof(f234,plain,
( spl20_25
<=> ! [X0,X1] : r2(sK14(X0,X1),sK13(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_25])]) ).
fof(f867,plain,
( ! [X2,X0,X1] :
( ~ id(X0,sK13(X1,X2))
| id(X0,sK8(sK14(X1,X2))) )
| ~ spl20_25
| ~ spl20_94 ),
inference(resolution,[],[f810,f235]) ).
fof(f235,plain,
( ! [X0,X1] : r2(sK14(X0,X1),sK13(X0,X1))
| ~ spl20_25 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f3006,plain,
( spl20_290
| ~ spl20_32
| ~ spl20_218 ),
inference(avatar_split_clause,[],[f2275,f2084,f287,f3004]) ).
fof(f3004,plain,
( spl20_290
<=> ! [X0,X3,X2,X1] :
( ~ r2(X0,sK16(X1,X2))
| ~ r1(X0)
| ~ r2(X3,sK15(X1,X2))
| ~ r1(X1)
| ~ r1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_290])]) ).
fof(f2084,plain,
( spl20_218
<=> ! [X4,X0,X3,X2,X1] :
( ~ r1(X0)
| ~ r2(X1,X2)
| ~ r1(X1)
| ~ r2(X0,X3)
| ~ r1(X4)
| ~ r3(X4,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_218])]) ).
fof(f2275,plain,
( ! [X2,X3,X0,X1] :
( ~ r2(X0,sK16(X1,X2))
| ~ r1(X0)
| ~ r2(X3,sK15(X1,X2))
| ~ r1(X1)
| ~ r1(X3) )
| ~ spl20_32
| ~ spl20_218 ),
inference(resolution,[],[f2085,f288]) ).
fof(f2085,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r3(X4,X2,X3)
| ~ r2(X1,X2)
| ~ r1(X1)
| ~ r2(X0,X3)
| ~ r1(X4)
| ~ r1(X0) )
| ~ spl20_218 ),
inference(avatar_component_clause,[],[f2084]) ).
fof(f3002,plain,
( spl20_289
| ~ spl20_80
| ~ spl20_85 ),
inference(avatar_split_clause,[],[f772,f725,f643,f3000]) ).
fof(f3000,plain,
( spl20_289
<=> ! [X2,X0,X1] :
( ~ r3(X0,X1,sK5(X2))
| id(sK18(X0,X1),sK6(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_289])]) ).
fof(f772,plain,
( ! [X2,X0,X1] :
( ~ r3(X0,X1,sK5(X2))
| id(sK18(X0,X1),sK6(X2)) )
| ~ spl20_80
| ~ spl20_85 ),
inference(resolution,[],[f726,f644]) ).
fof(f2998,plain,
( spl20_288
| ~ spl20_81
| ~ spl20_85 ),
inference(avatar_split_clause,[],[f765,f725,f647,f2996]) ).
fof(f2996,plain,
( spl20_288
<=> ! [X2,X0,X1] :
( ~ r3(X0,X1,X2)
| id(sK18(X0,X1),sK19)
| ~ r1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_288])]) ).
fof(f765,plain,
( ! [X2,X0,X1] :
( ~ r3(X0,X1,X2)
| id(sK18(X0,X1),sK19)
| ~ r1(X2) )
| ~ spl20_81
| ~ spl20_85 ),
inference(resolution,[],[f726,f648]) ).
fof(f2994,plain,
( spl20_287
| ~ spl20_80
| ~ spl20_84 ),
inference(avatar_split_clause,[],[f757,f721,f643,f2992]) ).
fof(f2992,plain,
( spl20_287
<=> ! [X2,X0,X1] :
( ~ r4(X0,X1,sK5(X2))
| id(sK17(X0,X1),sK6(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_287])]) ).
fof(f757,plain,
( ! [X2,X0,X1] :
( ~ r4(X0,X1,sK5(X2))
| id(sK17(X0,X1),sK6(X2)) )
| ~ spl20_80
| ~ spl20_84 ),
inference(resolution,[],[f722,f644]) ).
fof(f2990,plain,
( spl20_286
| ~ spl20_81
| ~ spl20_84 ),
inference(avatar_split_clause,[],[f750,f721,f647,f2988]) ).
fof(f2988,plain,
( spl20_286
<=> ! [X2,X0,X1] :
( ~ r4(X0,X1,X2)
| id(sK17(X0,X1),sK19)
| ~ r1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_286])]) ).
fof(f750,plain,
( ! [X2,X0,X1] :
( ~ r4(X0,X1,X2)
| id(sK17(X0,X1),sK19)
| ~ r1(X2) )
| ~ spl20_81
| ~ spl20_84 ),
inference(resolution,[],[f722,f648]) ).
fof(f2986,plain,
( spl20_285
| ~ spl20_37
| ~ spl20_81 ),
inference(avatar_split_clause,[],[f709,f647,f316,f2984]) ).
fof(f2984,plain,
( spl20_285
<=> ! [X2,X0,X1] :
( id(X0,sK19)
| ~ r1(sK18(X1,X2))
| ~ r3(X1,X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_285])]) ).
fof(f709,plain,
( ! [X2,X0,X1] :
( id(X0,sK19)
| ~ r1(sK18(X1,X2))
| ~ r3(X1,X2,X0) )
| ~ spl20_37
| ~ spl20_81 ),
inference(resolution,[],[f648,f317]) ).
fof(f2982,plain,
( spl20_284
| ~ spl20_34
| ~ spl20_81 ),
inference(avatar_split_clause,[],[f708,f647,f304,f2980]) ).
fof(f2980,plain,
( spl20_284
<=> ! [X2,X0,X1] :
( id(X0,sK19)
| ~ r1(sK17(X1,X2))
| ~ r4(X1,X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_284])]) ).
fof(f708,plain,
( ! [X2,X0,X1] :
( id(X0,sK19)
| ~ r1(sK17(X1,X2))
| ~ r4(X1,X2,X0) )
| ~ spl20_34
| ~ spl20_81 ),
inference(resolution,[],[f648,f305]) ).
fof(f2978,plain,
( spl20_283
| ~ spl20_20
| ~ spl20_79 ),
inference(avatar_split_clause,[],[f678,f639,f214,f2976]) ).
fof(f2976,plain,
( spl20_283
<=> ! [X0] :
( id(sK8(X0),sK1(sK8(X0)))
| r2(X0,sK2(sK8(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_283])]) ).
fof(f214,plain,
( spl20_20
<=> ! [X2,X0] :
( ~ id(X2,sK8(X0))
| r2(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_20])]) ).
fof(f678,plain,
( ! [X0] :
( id(sK8(X0),sK1(sK8(X0)))
| r2(X0,sK2(sK8(X0))) )
| ~ spl20_20
| ~ spl20_79 ),
inference(resolution,[],[f640,f215]) ).
fof(f215,plain,
( ! [X2,X0] :
( ~ id(X2,sK8(X0))
| r2(X0,X2) )
| ~ spl20_20 ),
inference(avatar_component_clause,[],[f214]) ).
fof(f2974,plain,
( spl20_282
| ~ spl20_71
| ~ spl20_79 ),
inference(avatar_split_clause,[],[f677,f639,f555,f2972]) ).
fof(f2972,plain,
( spl20_282
<=> ! [X0] :
( id(sK3(X0),sK1(sK3(X0)))
| id(sK2(sK3(X0)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_282])]) ).
fof(f555,plain,
( spl20_71
<=> ! [X0,X1] :
( id(X0,X1)
| ~ id(X0,sK3(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_71])]) ).
fof(f677,plain,
( ! [X0] :
( id(sK3(X0),sK1(sK3(X0)))
| id(sK2(sK3(X0)),X0) )
| ~ spl20_71
| ~ spl20_79 ),
inference(resolution,[],[f640,f556]) ).
fof(f556,plain,
( ! [X0,X1] :
( ~ id(X0,sK3(X1))
| id(X0,X1) )
| ~ spl20_71 ),
inference(avatar_component_clause,[],[f555]) ).
fof(f2970,plain,
( spl20_281
| ~ spl20_39
| ~ spl20_79 ),
inference(avatar_split_clause,[],[f673,f639,f324,f2968]) ).
fof(f2968,plain,
( spl20_281
<=> ! [X0,X1] :
( id(X0,sK1(X0))
| id(X1,X0)
| ~ id(X1,sK2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_281])]) ).
fof(f673,plain,
( ! [X0,X1] :
( id(X0,sK1(X0))
| id(X1,X0)
| ~ id(X1,sK2(X0)) )
| ~ spl20_39
| ~ spl20_79 ),
inference(resolution,[],[f640,f325]) ).
fof(f2966,plain,
( spl20_280
| ~ spl20_40
| ~ spl20_55 ),
inference(avatar_split_clause,[],[f492,f466,f352,f2964]) ).
fof(f2964,plain,
( spl20_280
<=> ! [X2,X0,X1] :
( id(X0,X1)
| ~ r2(X0,X2)
| ~ id(X2,sK3(sK8(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_280])]) ).
fof(f352,plain,
( spl20_40
<=> ! [X0,X3,X2,X1] :
( id(X0,X1)
| ~ r2(X1,X2)
| ~ r2(X0,X3)
| ~ id(X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_40])]) ).
fof(f466,plain,
( spl20_55
<=> ! [X0] : r2(X0,sK3(sK8(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_55])]) ).
fof(f492,plain,
( ! [X2,X0,X1] :
( id(X0,X1)
| ~ r2(X0,X2)
| ~ id(X2,sK3(sK8(X1))) )
| ~ spl20_40
| ~ spl20_55 ),
inference(resolution,[],[f467,f353]) ).
fof(f353,plain,
( ! [X2,X3,X0,X1] :
( ~ r2(X1,X2)
| id(X0,X1)
| ~ r2(X0,X3)
| ~ id(X3,X2) )
| ~ spl20_40 ),
inference(avatar_component_clause,[],[f352]) ).
fof(f467,plain,
( ! [X0] : r2(X0,sK3(sK8(X0)))
| ~ spl20_55 ),
inference(avatar_component_clause,[],[f466]) ).
fof(f2962,plain,
( spl20_279
| ~ spl20_19
| ~ spl20_187 ),
inference(avatar_split_clause,[],[f1860,f1776,f210,f2960]) ).
fof(f2960,plain,
( spl20_279
<=> ! [X0,X3,X2,X1] :
( ~ r1(X0)
| ~ r1(X1)
| ~ r2(X0,sK3(sK8(X2)))
| ~ r1(X3)
| ~ r2(X2,sK15(X3,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_279])]) ).
fof(f1776,plain,
( spl20_187
<=> ! [X0,X3,X2,X1] :
( ~ id(sK15(X0,X1),X2)
| ~ r1(X3)
| ~ r1(X1)
| ~ r2(X3,sK3(X2))
| ~ r1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_187])]) ).
fof(f1860,plain,
( ! [X2,X3,X0,X1] :
( ~ r1(X0)
| ~ r1(X1)
| ~ r2(X0,sK3(sK8(X2)))
| ~ r1(X3)
| ~ r2(X2,sK15(X3,X1)) )
| ~ spl20_19
| ~ spl20_187 ),
inference(resolution,[],[f1777,f211]) ).
fof(f1777,plain,
( ! [X2,X3,X0,X1] :
( ~ id(sK15(X0,X1),X2)
| ~ r1(X3)
| ~ r1(X1)
| ~ r2(X3,sK3(X2))
| ~ r1(X0) )
| ~ spl20_187 ),
inference(avatar_component_clause,[],[f1776]) ).
fof(f2958,plain,
( spl20_278
| ~ spl20_42
| ~ spl20_55 ),
inference(avatar_split_clause,[],[f491,f466,f360,f2956]) ).
fof(f2956,plain,
( spl20_278
<=> ! [X2,X0,X1] :
( r2(X0,X1)
| ~ id(X1,sK3(sK8(X2)))
| ~ id(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_278])]) ).
fof(f360,plain,
( spl20_42
<=> ! [X0,X3,X2,X1] :
( r2(X0,X1)
| ~ r2(X2,X3)
| ~ id(X1,X3)
| ~ id(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_42])]) ).
fof(f491,plain,
( ! [X2,X0,X1] :
( r2(X0,X1)
| ~ id(X1,sK3(sK8(X2)))
| ~ id(X0,X2) )
| ~ spl20_42
| ~ spl20_55 ),
inference(resolution,[],[f467,f361]) ).
fof(f361,plain,
( ! [X2,X3,X0,X1] :
( ~ r2(X2,X3)
| r2(X0,X1)
| ~ id(X1,X3)
| ~ id(X0,X2) )
| ~ spl20_42 ),
inference(avatar_component_clause,[],[f360]) ).
fof(f2954,plain,
( spl20_277
| ~ spl20_43
| ~ spl20_55 ),
inference(avatar_split_clause,[],[f490,f466,f364,f2952]) ).
fof(f2952,plain,
( spl20_277
<=> ! [X2,X0,X1] :
( r2(X0,X1)
| ~ id(sK3(sK8(X2)),X1)
| ~ id(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_277])]) ).
fof(f364,plain,
( spl20_43
<=> ! [X0,X3,X2,X1] :
( r2(X2,X3)
| ~ r2(X0,X1)
| ~ id(X1,X3)
| ~ id(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_43])]) ).
fof(f490,plain,
( ! [X2,X0,X1] :
( r2(X0,X1)
| ~ id(sK3(sK8(X2)),X1)
| ~ id(X2,X0) )
| ~ spl20_43
| ~ spl20_55 ),
inference(resolution,[],[f467,f365]) ).
fof(f365,plain,
( ! [X2,X3,X0,X1] :
( ~ r2(X0,X1)
| r2(X2,X3)
| ~ id(X1,X3)
| ~ id(X0,X2) )
| ~ spl20_43 ),
inference(avatar_component_clause,[],[f364]) ).
fof(f2843,plain,
( spl20_276
| ~ spl20_180
| ~ spl20_187 ),
inference(avatar_split_clause,[],[f1859,f1776,f1720,f2841]) ).
fof(f2841,plain,
( spl20_276
<=> ! [X0,X3,X2,X1] :
( ~ r1(X0)
| ~ r1(X1)
| ~ r2(X0,sK3(sK3(X2)))
| ~ r1(X3)
| ~ id(sK15(X3,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_276])]) ).
fof(f1720,plain,
( spl20_180
<=> ! [X0,X1] :
( id(X0,sK3(X1))
| ~ id(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_180])]) ).
fof(f1859,plain,
( ! [X2,X3,X0,X1] :
( ~ r1(X0)
| ~ r1(X1)
| ~ r2(X0,sK3(sK3(X2)))
| ~ r1(X3)
| ~ id(sK15(X3,X1),X2) )
| ~ spl20_180
| ~ spl20_187 ),
inference(resolution,[],[f1777,f1721]) ).
fof(f1721,plain,
( ! [X0,X1] :
( id(X0,sK3(X1))
| ~ id(X0,X1) )
| ~ spl20_180 ),
inference(avatar_component_clause,[],[f1720]) ).
fof(f2528,plain,
( spl20_275
| ~ spl20_5
| ~ spl20_165 ),
inference(avatar_split_clause,[],[f1670,f1624,f144,f2526]) ).
fof(f2526,plain,
( spl20_275
<=> ! [X0] : ~ r1(sK3(sK8(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_275])]) ).
fof(f1624,plain,
( spl20_165
<=> ! [X0,X1] :
( ~ r1(X0)
| ~ id(X0,sK8(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_165])]) ).
fof(f1670,plain,
( ! [X0] : ~ r1(sK3(sK8(X0)))
| ~ spl20_5
| ~ spl20_165 ),
inference(resolution,[],[f1625,f145]) ).
fof(f1625,plain,
( ! [X0,X1] :
( ~ id(X0,sK8(X1))
| ~ r1(X0) )
| ~ spl20_165 ),
inference(avatar_component_clause,[],[f1624]) ).
fof(f2496,plain,
( spl20_274
| ~ spl20_61
| ~ spl20_112 ),
inference(avatar_split_clause,[],[f1109,f1065,f515,f2494]) ).
fof(f2494,plain,
( spl20_274
<=> ! [X0,X1] :
( r2(X0,X1)
| ~ id(sK0(X1),X0)
| r1(sK2(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_274])]) ).
fof(f1109,plain,
( ! [X0,X1] :
( r2(X0,X1)
| ~ id(sK0(X1),X0)
| r1(sK2(X1)) )
| ~ spl20_61
| ~ spl20_112 ),
inference(duplicate_literal_removal,[],[f1096]) ).
fof(f1096,plain,
( ! [X0,X1] :
( r2(X0,X1)
| ~ id(sK0(X1),X0)
| r1(sK2(X1))
| r1(sK2(X1)) )
| ~ spl20_61
| ~ spl20_112 ),
inference(resolution,[],[f1066,f516]) ).
fof(f2492,plain,
( spl20_273
| ~ spl20_18
| ~ spl20_111 ),
inference(avatar_split_clause,[],[f1095,f1061,f206,f2490]) ).
fof(f2490,plain,
( spl20_273
<=> ! [X0,X1] :
( r2(X0,X1)
| ~ id(X0,sK0(X1))
| r1(sK2(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_273])]) ).
fof(f1095,plain,
( ! [X0,X1] :
( r2(X0,X1)
| ~ id(X0,sK0(X1))
| r1(sK2(X1)) )
| ~ spl20_18
| ~ spl20_111 ),
inference(duplicate_literal_removal,[],[f1084]) ).
fof(f1084,plain,
( ! [X0,X1] :
( r2(X0,X1)
| ~ id(X0,sK0(X1))
| r1(sK2(X1))
| r1(sK2(X1)) )
| ~ spl20_18
| ~ spl20_111 ),
inference(resolution,[],[f1062,f207]) ).
fof(f2488,plain,
( spl20_272
| ~ spl20_18
| ~ spl20_110 ),
inference(avatar_split_clause,[],[f1081,f1057,f206,f2486]) ).
fof(f2486,plain,
( spl20_272
<=> ! [X0,X1] :
( ~ r2(X0,X1)
| id(X0,sK0(X1))
| r1(sK2(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_272])]) ).
fof(f1081,plain,
( ! [X0,X1] :
( ~ r2(X0,X1)
| id(X0,sK0(X1))
| r1(sK2(X1)) )
| ~ spl20_18
| ~ spl20_110 ),
inference(duplicate_literal_removal,[],[f1070]) ).
fof(f1070,plain,
( ! [X0,X1] :
( ~ r2(X0,X1)
| id(X0,sK0(X1))
| r1(sK2(X1))
| r1(sK2(X1)) )
| ~ spl20_18
| ~ spl20_110 ),
inference(resolution,[],[f1058,f207]) ).
fof(f2484,plain,
( spl20_271
| ~ spl20_1
| ~ spl20_109 ),
inference(avatar_split_clause,[],[f1044,f1023,f128,f2482]) ).
fof(f2482,plain,
( spl20_271
<=> ! [X2,X0,X1] :
( ~ id(sK13(X0,X1),X2)
| r2(sK14(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_271])]) ).
fof(f1044,plain,
( ! [X2,X0,X1] :
( ~ id(sK13(X0,X1),X2)
| r2(sK14(X0,X1),X2) )
| ~ spl20_1
| ~ spl20_109 ),
inference(resolution,[],[f1024,f129]) ).
fof(f2480,plain,
( spl20_270
| ~ spl20_1
| ~ spl20_108 ),
inference(avatar_split_clause,[],[f1036,f1019,f128,f2478]) ).
fof(f2478,plain,
( spl20_270
<=> ! [X2,X0,X1] :
( r2(X0,sK13(X1,X2))
| ~ id(X0,sK14(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_270])]) ).
fof(f1036,plain,
( ! [X2,X0,X1] :
( r2(X0,sK13(X1,X2))
| ~ id(X0,sK14(X1,X2)) )
| ~ spl20_1
| ~ spl20_108 ),
inference(resolution,[],[f1020,f129]) ).
fof(f2476,plain,
( spl20_269
| ~ spl20_24
| ~ spl20_108 ),
inference(avatar_split_clause,[],[f1035,f1019,f230,f2474]) ).
fof(f2474,plain,
( spl20_269
<=> ! [X2,X0,X1] :
( r2(X0,sK15(X1,X2))
| ~ id(X0,sK14(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_269])]) ).
fof(f230,plain,
( spl20_24
<=> ! [X0,X1] : id(sK15(X0,X1),sK13(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_24])]) ).
fof(f1035,plain,
( ! [X2,X0,X1] :
( r2(X0,sK15(X1,X2))
| ~ id(X0,sK14(X1,X2)) )
| ~ spl20_24
| ~ spl20_108 ),
inference(resolution,[],[f1020,f231]) ).
fof(f231,plain,
( ! [X0,X1] : id(sK15(X0,X1),sK13(X0,X1))
| ~ spl20_24 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f2472,plain,
( spl20_268
| ~ spl20_1
| ~ spl20_107 ),
inference(avatar_split_clause,[],[f1027,f1015,f128,f2470]) ).
fof(f2470,plain,
( spl20_268
<=> ! [X2,X0,X1] :
( ~ r2(X0,sK13(X1,X2))
| id(X0,sK14(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_268])]) ).
fof(f1027,plain,
( ! [X2,X0,X1] :
( ~ r2(X0,sK13(X1,X2))
| id(X0,sK14(X1,X2)) )
| ~ spl20_1
| ~ spl20_107 ),
inference(resolution,[],[f1016,f129]) ).
fof(f2468,plain,
( spl20_267
| ~ spl20_24
| ~ spl20_107 ),
inference(avatar_split_clause,[],[f1026,f1015,f230,f2466]) ).
fof(f2466,plain,
( spl20_267
<=> ! [X2,X0,X1] :
( ~ r2(X0,sK15(X1,X2))
| id(X0,sK14(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_267])]) ).
fof(f1026,plain,
( ! [X2,X0,X1] :
( ~ r2(X0,sK15(X1,X2))
| id(X0,sK14(X1,X2)) )
| ~ spl20_24
| ~ spl20_107 ),
inference(resolution,[],[f1016,f231]) ).
fof(f2464,plain,
( spl20_266
| ~ spl20_11
| ~ spl20_153 ),
inference(avatar_split_clause,[],[f1526,f1482,f168,f2461]) ).
fof(f168,plain,
( spl20_11
<=> ! [X1] :
( ~ id(X1,sK19)
| r1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_11])]) ).
fof(f1526,plain,
( r1(sK3(sK3(sK19)))
| ~ spl20_11
| ~ spl20_153 ),
inference(resolution,[],[f1483,f169]) ).
fof(f169,plain,
( ! [X1] :
( ~ id(X1,sK19)
| r1(X1) )
| ~ spl20_11 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f2459,plain,
( spl20_265
| ~ spl20_17
| ~ spl20_105 ),
inference(avatar_split_clause,[],[f1005,f996,f196,f2457]) ).
fof(f2457,plain,
( spl20_265
<=> ! [X2,X0,X1] :
( ~ id(X0,sK14(X1,X2))
| id(X0,sK18(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_265])]) ).
fof(f1005,plain,
( ! [X2,X0,X1] :
( ~ id(X0,sK14(X1,X2))
| id(X0,sK18(X1,X2)) )
| ~ spl20_17
| ~ spl20_105 ),
inference(resolution,[],[f997,f197]) ).
fof(f2455,plain,
( spl20_264
| ~ spl20_12
| ~ spl20_105 ),
inference(avatar_split_clause,[],[f1004,f996,f175,f2453]) ).
fof(f2453,plain,
( spl20_264
<=> ! [X0,X1] :
( ~ id(X0,sK3(X1))
| id(X0,sK18(X1,sK4(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_264])]) ).
fof(f175,plain,
( spl20_12
<=> ! [X0] : r3(X0,sK4(X0),sK3(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_12])]) ).
fof(f1004,plain,
( ! [X0,X1] :
( ~ id(X0,sK3(X1))
| id(X0,sK18(X1,sK4(X1))) )
| ~ spl20_12
| ~ spl20_105 ),
inference(resolution,[],[f997,f176]) ).
fof(f176,plain,
( ! [X0] : r3(X0,sK4(X0),sK3(X0))
| ~ spl20_12 ),
inference(avatar_component_clause,[],[f175]) ).
fof(f2451,plain,
( spl20_263
| ~ spl20_16
| ~ spl20_104 ),
inference(avatar_split_clause,[],[f1000,f992,f192,f2449]) ).
fof(f2449,plain,
( spl20_263
<=> ! [X2,X0,X1] :
( ~ id(X0,sK10(X1,X2))
| id(X0,sK17(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_263])]) ).
fof(f192,plain,
( spl20_16
<=> ! [X0,X1] : r4(X0,X1,sK10(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_16])]) ).
fof(f1000,plain,
( ! [X2,X0,X1] :
( ~ id(X0,sK10(X1,X2))
| id(X0,sK17(X1,X2)) )
| ~ spl20_16
| ~ spl20_104 ),
inference(resolution,[],[f993,f193]) ).
fof(f193,plain,
( ! [X0,X1] : r4(X0,X1,sK10(X0,X1))
| ~ spl20_16 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f2447,plain,
( spl20_262
| ~ spl20_14
| ~ spl20_104 ),
inference(avatar_split_clause,[],[f999,f992,f184,f2445]) ).
fof(f2445,plain,
( spl20_262
<=> ! [X0,X1] :
( ~ id(X0,sK5(X1))
| id(X0,sK17(X1,sK7(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_262])]) ).
fof(f184,plain,
( spl20_14
<=> ! [X0] : r4(X0,sK7(X0),sK5(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_14])]) ).
fof(f999,plain,
( ! [X0,X1] :
( ~ id(X0,sK5(X1))
| id(X0,sK17(X1,sK7(X1))) )
| ~ spl20_14
| ~ spl20_104 ),
inference(resolution,[],[f993,f185]) ).
fof(f185,plain,
( ! [X0] : r4(X0,sK7(X0),sK5(X0))
| ~ spl20_14 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f2443,plain,
( spl20_261
| ~ spl20_15
| ~ spl20_92 ),
inference(avatar_split_clause,[],[f858,f801,f188,f2441]) ).
fof(f2441,plain,
( spl20_261
<=> ! [X0,X1] :
( ~ id(X0,X1)
| r1(sK2(X1))
| id(sK1(X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_261])]) ).
fof(f858,plain,
( ! [X0,X1] :
( ~ id(X0,X1)
| r1(sK2(X1))
| id(sK1(X1),X0) )
| ~ spl20_15
| ~ spl20_92 ),
inference(resolution,[],[f802,f189]) ).
fof(f2439,plain,
( spl20_260
| ~ spl20_31
| ~ spl20_91 ),
inference(avatar_split_clause,[],[f851,f797,f283,f2437]) ).
fof(f2437,plain,
( spl20_260
<=> ! [X0,X1] :
( ~ r1(sK18(sK10(X0,X1),X0))
| r1(sK9(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_260])]) ).
fof(f797,plain,
( spl20_91
<=> ! [X2,X0,X1] :
( ~ r3(X0,X1,X2)
| ~ r1(sK18(X0,X1))
| r1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_91])]) ).
fof(f851,plain,
( ! [X0,X1] :
( ~ r1(sK18(sK10(X0,X1),X0))
| r1(sK9(X0,X1)) )
| ~ spl20_31
| ~ spl20_91 ),
inference(resolution,[],[f798,f284]) ).
fof(f798,plain,
( ! [X2,X0,X1] :
( ~ r3(X0,X1,X2)
| ~ r1(sK18(X0,X1))
| r1(X2) )
| ~ spl20_91 ),
inference(avatar_component_clause,[],[f797]) ).
fof(f2435,plain,
( spl20_259
| ~ spl20_32
| ~ spl20_91 ),
inference(avatar_split_clause,[],[f850,f797,f287,f2433]) ).
fof(f2433,plain,
( spl20_259
<=> ! [X0,X1] :
( ~ r1(sK18(X0,sK16(X0,X1)))
| r1(sK15(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_259])]) ).
fof(f850,plain,
( ! [X0,X1] :
( ~ r1(sK18(X0,sK16(X0,X1)))
| r1(sK15(X0,X1)) )
| ~ spl20_32
| ~ spl20_91 ),
inference(resolution,[],[f798,f288]) ).
fof(f2431,plain,
( spl20_258
| ~ spl20_31
| ~ spl20_90 ),
inference(avatar_split_clause,[],[f845,f793,f283,f2429]) ).
fof(f2429,plain,
( spl20_258
<=> ! [X0,X1] :
( ~ r1(sK9(X0,X1))
| r1(sK18(sK10(X0,X1),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_258])]) ).
fof(f793,plain,
( spl20_90
<=> ! [X2,X0,X1] :
( ~ r3(X0,X1,X2)
| ~ r1(X2)
| r1(sK18(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_90])]) ).
fof(f845,plain,
( ! [X0,X1] :
( ~ r1(sK9(X0,X1))
| r1(sK18(sK10(X0,X1),X0)) )
| ~ spl20_31
| ~ spl20_90 ),
inference(resolution,[],[f794,f284]) ).
fof(f794,plain,
( ! [X2,X0,X1] :
( ~ r3(X0,X1,X2)
| ~ r1(X2)
| r1(sK18(X0,X1)) )
| ~ spl20_90 ),
inference(avatar_component_clause,[],[f793]) ).
fof(f2427,plain,
( spl20_257
| ~ spl20_30
| ~ spl20_89 ),
inference(avatar_split_clause,[],[f839,f789,f279,f2425]) ).
fof(f2425,plain,
( spl20_257
<=> ! [X0,X1] :
( ~ r1(sK17(X0,sK12(X0,X1)))
| r1(sK11(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_257])]) ).
fof(f789,plain,
( spl20_89
<=> ! [X2,X0,X1] :
( ~ r4(X0,X1,X2)
| ~ r1(sK17(X0,X1))
| r1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_89])]) ).
fof(f839,plain,
( ! [X0,X1] :
( ~ r1(sK17(X0,sK12(X0,X1)))
| r1(sK11(X0,X1)) )
| ~ spl20_30
| ~ spl20_89 ),
inference(resolution,[],[f790,f280]) ).
fof(f790,plain,
( ! [X2,X0,X1] :
( ~ r4(X0,X1,X2)
| ~ r1(sK17(X0,X1))
| r1(X2) )
| ~ spl20_89 ),
inference(avatar_component_clause,[],[f789]) ).
fof(f2423,plain,
( spl20_256
| ~ spl20_30
| ~ spl20_88 ),
inference(avatar_split_clause,[],[f834,f785,f279,f2421]) ).
fof(f2421,plain,
( spl20_256
<=> ! [X0,X1] :
( ~ r1(sK11(X0,X1))
| r1(sK17(X0,sK12(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_256])]) ).
fof(f785,plain,
( spl20_88
<=> ! [X2,X0,X1] :
( ~ r4(X0,X1,X2)
| ~ r1(X2)
| r1(sK17(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_88])]) ).
fof(f834,plain,
( ! [X0,X1] :
( ~ r1(sK11(X0,X1))
| r1(sK17(X0,sK12(X0,X1))) )
| ~ spl20_30
| ~ spl20_88 ),
inference(resolution,[],[f786,f280]) ).
fof(f786,plain,
( ! [X2,X0,X1] :
( ~ r4(X0,X1,X2)
| ~ r1(X2)
| r1(sK17(X0,X1)) )
| ~ spl20_88 ),
inference(avatar_component_clause,[],[f785]) ).
fof(f2419,plain,
( spl20_255
| ~ spl20_67
| ~ spl20_85 ),
inference(avatar_split_clause,[],[f776,f725,f539,f2417]) ).
fof(f2417,plain,
( spl20_255
<=> ! [X0,X3,X2,X1] :
( ~ r3(X0,X1,sK16(X2,X3))
| ~ r1(sK18(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_255])]) ).
fof(f776,plain,
( ! [X2,X3,X0,X1] :
( ~ r3(X0,X1,sK16(X2,X3))
| ~ r1(sK18(X0,X1)) )
| ~ spl20_67
| ~ spl20_85 ),
inference(resolution,[],[f726,f540]) ).
fof(f2415,plain,
( spl20_254
| ~ spl20_68
| ~ spl20_85 ),
inference(avatar_split_clause,[],[f775,f725,f543,f2413]) ).
fof(f2413,plain,
( spl20_254
<=> ! [X0,X3,X2,X1] :
( ~ r3(X0,X1,sK13(X2,X3))
| ~ r1(sK18(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_254])]) ).
fof(f775,plain,
( ! [X2,X3,X0,X1] :
( ~ r3(X0,X1,sK13(X2,X3))
| ~ r1(sK18(X0,X1)) )
| ~ spl20_68
| ~ spl20_85 ),
inference(resolution,[],[f726,f544]) ).
fof(f2411,plain,
( spl20_253
| ~ spl20_66
| ~ spl20_85 ),
inference(avatar_split_clause,[],[f774,f725,f535,f2409]) ).
fof(f2409,plain,
( spl20_253
<=> ! [X0,X3,X2,X1] :
( ~ r3(X0,X1,sK12(X2,X3))
| ~ r1(sK18(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_253])]) ).
fof(f774,plain,
( ! [X2,X3,X0,X1] :
( ~ r3(X0,X1,sK12(X2,X3))
| ~ r1(sK18(X0,X1)) )
| ~ spl20_66
| ~ spl20_85 ),
inference(resolution,[],[f726,f536]) ).
fof(f2407,plain,
( spl20_252
| ~ spl20_20
| ~ spl20_85 ),
inference(avatar_split_clause,[],[f773,f725,f214,f2405]) ).
fof(f2405,plain,
( spl20_252
<=> ! [X2,X0,X1] :
( ~ r3(X0,X1,sK8(X2))
| r2(X2,sK18(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_252])]) ).
fof(f773,plain,
( ! [X2,X0,X1] :
( ~ r3(X0,X1,sK8(X2))
| r2(X2,sK18(X0,X1)) )
| ~ spl20_20
| ~ spl20_85 ),
inference(resolution,[],[f726,f215]) ).
fof(f2403,plain,
( spl20_251
| ~ spl20_71
| ~ spl20_85 ),
inference(avatar_split_clause,[],[f771,f725,f555,f2401]) ).
fof(f2401,plain,
( spl20_251
<=> ! [X2,X0,X1] :
( ~ r3(X0,X1,sK3(X2))
| id(sK18(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_251])]) ).
fof(f771,plain,
( ! [X2,X0,X1] :
( ~ r3(X0,X1,sK3(X2))
| id(sK18(X0,X1),X2) )
| ~ spl20_71
| ~ spl20_85 ),
inference(resolution,[],[f726,f556]) ).
fof(f2399,plain,
( spl20_250
| ~ spl20_67
| ~ spl20_84 ),
inference(avatar_split_clause,[],[f761,f721,f539,f2397]) ).
fof(f2397,plain,
( spl20_250
<=> ! [X0,X3,X2,X1] :
( ~ r4(X0,X1,sK16(X2,X3))
| ~ r1(sK17(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_250])]) ).
fof(f761,plain,
( ! [X2,X3,X0,X1] :
( ~ r4(X0,X1,sK16(X2,X3))
| ~ r1(sK17(X0,X1)) )
| ~ spl20_67
| ~ spl20_84 ),
inference(resolution,[],[f722,f540]) ).
fof(f2395,plain,
( spl20_249
| ~ spl20_68
| ~ spl20_84 ),
inference(avatar_split_clause,[],[f760,f721,f543,f2393]) ).
fof(f2393,plain,
( spl20_249
<=> ! [X0,X3,X2,X1] :
( ~ r4(X0,X1,sK13(X2,X3))
| ~ r1(sK17(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_249])]) ).
fof(f760,plain,
( ! [X2,X3,X0,X1] :
( ~ r4(X0,X1,sK13(X2,X3))
| ~ r1(sK17(X0,X1)) )
| ~ spl20_68
| ~ spl20_84 ),
inference(resolution,[],[f722,f544]) ).
fof(f2391,plain,
( spl20_248
| ~ spl20_66
| ~ spl20_84 ),
inference(avatar_split_clause,[],[f759,f721,f535,f2389]) ).
fof(f2389,plain,
( spl20_248
<=> ! [X0,X3,X2,X1] :
( ~ r4(X0,X1,sK12(X2,X3))
| ~ r1(sK17(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_248])]) ).
fof(f759,plain,
( ! [X2,X3,X0,X1] :
( ~ r4(X0,X1,sK12(X2,X3))
| ~ r1(sK17(X0,X1)) )
| ~ spl20_66
| ~ spl20_84 ),
inference(resolution,[],[f722,f536]) ).
fof(f2387,plain,
( spl20_247
| ~ spl20_20
| ~ spl20_84 ),
inference(avatar_split_clause,[],[f758,f721,f214,f2385]) ).
fof(f2385,plain,
( spl20_247
<=> ! [X2,X0,X1] :
( ~ r4(X0,X1,sK8(X2))
| r2(X2,sK17(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_247])]) ).
fof(f758,plain,
( ! [X2,X0,X1] :
( ~ r4(X0,X1,sK8(X2))
| r2(X2,sK17(X0,X1)) )
| ~ spl20_20
| ~ spl20_84 ),
inference(resolution,[],[f722,f215]) ).
fof(f2383,plain,
( spl20_246
| ~ spl20_71
| ~ spl20_84 ),
inference(avatar_split_clause,[],[f756,f721,f555,f2381]) ).
fof(f2381,plain,
( spl20_246
<=> ! [X2,X0,X1] :
( ~ r4(X0,X1,sK3(X2))
| id(sK17(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_246])]) ).
fof(f756,plain,
( ! [X2,X0,X1] :
( ~ r4(X0,X1,sK3(X2))
| id(sK17(X0,X1),X2) )
| ~ spl20_71
| ~ spl20_84 ),
inference(resolution,[],[f722,f556]) ).
fof(f2374,plain,
( spl20_245
| ~ spl20_27
| ~ spl20_81 ),
inference(avatar_split_clause,[],[f699,f647,f267,f2372]) ).
fof(f2372,plain,
( spl20_245
<=> ! [X0] :
( id(X0,sK19)
| ~ r1(sK2(X0))
| id(X0,sK1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_245])]) ).
fof(f267,plain,
( spl20_27
<=> ! [X0] :
( id(X0,sK1(X0))
| id(X0,sK2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_27])]) ).
fof(f699,plain,
( ! [X0] :
( id(X0,sK19)
| ~ r1(sK2(X0))
| id(X0,sK1(X0)) )
| ~ spl20_27
| ~ spl20_81 ),
inference(resolution,[],[f648,f268]) ).
fof(f268,plain,
( ! [X0] :
( id(X0,sK2(X0))
| id(X0,sK1(X0)) )
| ~ spl20_27 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f2370,plain,
( spl20_244
| ~ spl20_79
| ~ spl20_81 ),
inference(avatar_split_clause,[],[f694,f647,f639,f2368]) ).
fof(f2368,plain,
( spl20_244
<=> ! [X0] :
( id(sK2(X0),sK19)
| ~ r1(X0)
| id(X0,sK1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_244])]) ).
fof(f694,plain,
( ! [X0] :
( id(sK2(X0),sK19)
| ~ r1(X0)
| id(X0,sK1(X0)) )
| ~ spl20_79
| ~ spl20_81 ),
inference(resolution,[],[f648,f640]) ).
fof(f2366,plain,
( spl20_243
| ~ spl20_61
| ~ spl20_80 ),
inference(avatar_split_clause,[],[f687,f643,f515,f2364]) ).
fof(f2364,plain,
( spl20_243
<=> ! [X0] :
( id(sK1(sK5(X0)),sK6(X0))
| r1(sK2(sK5(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_243])]) ).
fof(f687,plain,
( ! [X0] :
( id(sK1(sK5(X0)),sK6(X0))
| r1(sK2(sK5(X0))) )
| ~ spl20_61
| ~ spl20_80 ),
inference(resolution,[],[f644,f516]) ).
fof(f2362,plain,
( spl20_242
| ~ spl20_39
| ~ spl20_65 ),
inference(avatar_split_clause,[],[f579,f531,f324,f2360]) ).
fof(f2360,plain,
( spl20_242
<=> ! [X2,X0,X1] :
( id(X0,sK15(X1,X2))
| ~ id(X0,sK13(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_242])]) ).
fof(f579,plain,
( ! [X2,X0,X1] :
( id(X0,sK15(X1,X2))
| ~ id(X0,sK13(X1,X2)) )
| ~ spl20_39
| ~ spl20_65 ),
inference(resolution,[],[f532,f325]) ).
fof(f2358,plain,
( spl20_241
| ~ spl20_39
| ~ spl20_64 ),
inference(avatar_split_clause,[],[f575,f527,f324,f2356]) ).
fof(f2356,plain,
( spl20_241
<=> ! [X2,X0,X1] :
( id(X0,sK11(X1,X2))
| ~ id(X0,sK9(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_241])]) ).
fof(f575,plain,
( ! [X2,X0,X1] :
( id(X0,sK11(X1,X2))
| ~ id(X0,sK9(X1,X2)) )
| ~ spl20_39
| ~ spl20_64 ),
inference(resolution,[],[f528,f325]) ).
fof(f2354,plain,
( spl20_240
| ~ spl20_38
| ~ spl20_62 ),
inference(avatar_split_clause,[],[f572,f519,f320,f2352]) ).
fof(f2352,plain,
( spl20_240
<=> ! [X2,X0,X1] :
( ~ r2(X0,sK18(X1,X2))
| r3(X1,X2,sK8(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_240])]) ).
fof(f572,plain,
( ! [X2,X0,X1] :
( ~ r2(X0,sK18(X1,X2))
| r3(X1,X2,sK8(X0)) )
| ~ spl20_38
| ~ spl20_62 ),
inference(resolution,[],[f520,f321]) ).
fof(f2350,plain,
( spl20_239
| ~ spl20_35
| ~ spl20_62 ),
inference(avatar_split_clause,[],[f571,f519,f308,f2348]) ).
fof(f2348,plain,
( spl20_239
<=> ! [X2,X0,X1] :
( ~ r2(X0,sK17(X1,X2))
| r4(X1,X2,sK8(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_239])]) ).
fof(f571,plain,
( ! [X2,X0,X1] :
( ~ r2(X0,sK17(X1,X2))
| r4(X1,X2,sK8(X0)) )
| ~ spl20_35
| ~ spl20_62 ),
inference(resolution,[],[f520,f309]) ).
fof(f2346,plain,
( spl20_238
| ~ spl20_39
| ~ spl20_62 ),
inference(avatar_split_clause,[],[f566,f519,f324,f2344]) ).
fof(f2344,plain,
( spl20_238
<=> ! [X2,X0,X1] :
( ~ r2(X0,X1)
| id(X2,X1)
| ~ id(X2,sK8(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_238])]) ).
fof(f566,plain,
( ! [X2,X0,X1] :
( ~ r2(X0,X1)
| id(X2,X1)
| ~ id(X2,sK8(X0)) )
| ~ spl20_39
| ~ spl20_62 ),
inference(resolution,[],[f520,f325]) ).
fof(f2342,plain,
( spl20_237
| ~ spl20_39
| ~ spl20_61 ),
inference(avatar_split_clause,[],[f558,f515,f324,f2340]) ).
fof(f2340,plain,
( spl20_237
<=> ! [X0,X1] :
( r1(sK2(X0))
| id(X1,X0)
| ~ id(X1,sK1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_237])]) ).
fof(f558,plain,
( ! [X0,X1] :
( r1(sK2(X0))
| id(X1,X0)
| ~ id(X1,sK1(X0)) )
| ~ spl20_39
| ~ spl20_61 ),
inference(resolution,[],[f516,f325]) ).
fof(f2338,plain,
( spl20_236
| ~ spl20_40
| ~ spl20_41 ),
inference(avatar_split_clause,[],[f418,f356,f352,f2336]) ).
fof(f2336,plain,
( spl20_236
<=> ! [X2,X0,X1] :
( id(X0,X1)
| ~ r2(X0,X2)
| ~ id(X2,sK8(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_236])]) ).
fof(f356,plain,
( spl20_41
<=> ! [X0] : r2(X0,sK8(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_41])]) ).
fof(f418,plain,
( ! [X2,X0,X1] :
( id(X0,X1)
| ~ r2(X0,X2)
| ~ id(X2,sK8(X1)) )
| ~ spl20_40
| ~ spl20_41 ),
inference(resolution,[],[f357,f353]) ).
fof(f357,plain,
( ! [X0] : r2(X0,sK8(X0))
| ~ spl20_41 ),
inference(avatar_component_clause,[],[f356]) ).
fof(f2334,plain,
( spl20_235
| ~ spl20_12
| ~ spl20_218 ),
inference(avatar_split_clause,[],[f2271,f2084,f175,f2332]) ).
fof(f2332,plain,
( spl20_235
<=> ! [X2,X0,X1] :
( ~ r2(X0,sK4(X1))
| ~ r1(X0)
| ~ r2(X2,sK3(X1))
| ~ r1(X1)
| ~ r1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_235])]) ).
fof(f2271,plain,
( ! [X2,X0,X1] :
( ~ r2(X0,sK4(X1))
| ~ r1(X0)
| ~ r2(X2,sK3(X1))
| ~ r1(X1)
| ~ r1(X2) )
| ~ spl20_12
| ~ spl20_218 ),
inference(resolution,[],[f2085,f176]) ).
fof(f2330,plain,
( spl20_234
| ~ spl20_41
| ~ spl20_42 ),
inference(avatar_split_clause,[],[f417,f360,f356,f2328]) ).
fof(f2328,plain,
( spl20_234
<=> ! [X2,X0,X1] :
( r2(X0,X1)
| ~ id(X1,sK8(X2))
| ~ id(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_234])]) ).
fof(f417,plain,
( ! [X2,X0,X1] :
( r2(X0,X1)
| ~ id(X1,sK8(X2))
| ~ id(X0,X2) )
| ~ spl20_41
| ~ spl20_42 ),
inference(resolution,[],[f357,f361]) ).
fof(f2326,plain,
( spl20_233
| ~ spl20_41
| ~ spl20_43 ),
inference(avatar_split_clause,[],[f416,f364,f356,f2324]) ).
fof(f2324,plain,
( spl20_233
<=> ! [X2,X0,X1] :
( r2(X0,X1)
| ~ id(sK8(X2),X1)
| ~ id(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_233])]) ).
fof(f416,plain,
( ! [X2,X0,X1] :
( r2(X0,X1)
| ~ id(sK8(X2),X1)
| ~ id(X2,X0) )
| ~ spl20_41
| ~ spl20_43 ),
inference(resolution,[],[f357,f365]) ).
fof(f2142,plain,
( spl20_232
| ~ spl20_36
| ~ spl20_103 ),
inference(avatar_split_clause,[],[f986,f913,f312,f2140]) ).
fof(f2140,plain,
( spl20_232
<=> ! [X2,X0,X1] :
( r2(X0,sK3(sK16(X1,X2)))
| ~ id(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_232])]) ).
fof(f986,plain,
( ! [X2,X0,X1] :
( r2(X0,sK3(sK16(X1,X2)))
| ~ id(X2,X0) )
| ~ spl20_36
| ~ spl20_103 ),
inference(resolution,[],[f914,f313]) ).
fof(f2138,plain,
( spl20_231
| ~ spl20_36
| ~ spl20_102 ),
inference(avatar_split_clause,[],[f974,f909,f312,f2136]) ).
fof(f2136,plain,
( spl20_231
<=> ! [X2,X0,X1] :
( r2(X0,sK3(sK12(X1,X2)))
| ~ id(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_231])]) ).
fof(f974,plain,
( ! [X2,X0,X1] :
( r2(X0,sK3(sK12(X1,X2)))
| ~ id(X2,X0) )
| ~ spl20_36
| ~ spl20_102 ),
inference(resolution,[],[f910,f313]) ).
fof(f2134,plain,
( spl20_230
| ~ spl20_5
| ~ spl20_101 ),
inference(avatar_split_clause,[],[f962,f905,f144,f2132]) ).
fof(f2132,plain,
( spl20_230
<=> ! [X2,X0,X1] :
( r2(X0,sK3(sK16(X1,X2)))
| ~ id(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_230])]) ).
fof(f962,plain,
( ! [X2,X0,X1] :
( r2(X0,sK3(sK16(X1,X2)))
| ~ id(X0,X2) )
| ~ spl20_5
| ~ spl20_101 ),
inference(resolution,[],[f906,f145]) ).
fof(f2130,plain,
( spl20_229
| ~ spl20_36
| ~ spl20_144 ),
inference(avatar_split_clause,[],[f1440,f1429,f312,f2128]) ).
fof(f2128,plain,
( spl20_229
<=> ! [X0,X3,X2,X1] :
( ~ r1(X0)
| ~ r2(X1,X2)
| ~ r1(X1)
| ~ r2(X0,sK3(sK3(sK18(X3,X2))))
| ~ r1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_229])]) ).
fof(f1429,plain,
( spl20_144
<=> ! [X4,X0,X3,X2,X1] :
( ~ r1(X0)
| ~ id(sK3(sK18(X1,X2)),X3)
| ~ r2(X4,X2)
| ~ r1(X4)
| ~ r2(X0,X3)
| ~ r1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_144])]) ).
fof(f1440,plain,
( ! [X2,X3,X0,X1] :
( ~ r1(X0)
| ~ r2(X1,X2)
| ~ r1(X1)
| ~ r2(X0,sK3(sK3(sK18(X3,X2))))
| ~ r1(X3) )
| ~ spl20_36
| ~ spl20_144 ),
inference(resolution,[],[f1430,f313]) ).
fof(f1430,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ id(sK3(sK18(X1,X2)),X3)
| ~ r1(X0)
| ~ r2(X4,X2)
| ~ r1(X4)
| ~ r2(X0,X3)
| ~ r1(X1) )
| ~ spl20_144 ),
inference(avatar_component_clause,[],[f1429]) ).
fof(f2126,plain,
( spl20_228
| ~ spl20_5
| ~ spl20_100 ),
inference(avatar_split_clause,[],[f954,f901,f144,f2124]) ).
fof(f2124,plain,
( spl20_228
<=> ! [X2,X0,X1] :
( r2(X0,sK3(sK12(X1,X2)))
| ~ id(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_228])]) ).
fof(f954,plain,
( ! [X2,X0,X1] :
( r2(X0,sK3(sK12(X1,X2)))
| ~ id(X0,X2) )
| ~ spl20_5
| ~ spl20_100 ),
inference(resolution,[],[f902,f145]) ).
fof(f2122,plain,
( spl20_227
| ~ spl20_5
| ~ spl20_99 ),
inference(avatar_split_clause,[],[f946,f897,f144,f2120]) ).
fof(f2120,plain,
( spl20_227
<=> ! [X2,X0,X1] :
( ~ r2(X0,sK3(sK16(X1,X2)))
| id(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_227])]) ).
fof(f946,plain,
( ! [X2,X0,X1] :
( ~ r2(X0,sK3(sK16(X1,X2)))
| id(X0,X2) )
| ~ spl20_5
| ~ spl20_99 ),
inference(resolution,[],[f898,f145]) ).
fof(f2118,plain,
( spl20_226
| ~ spl20_5
| ~ spl20_98 ),
inference(avatar_split_clause,[],[f938,f893,f144,f2116]) ).
fof(f2116,plain,
( spl20_226
<=> ! [X2,X0,X1] :
( ~ r2(X0,sK3(sK12(X1,X2)))
| id(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_226])]) ).
fof(f938,plain,
( ! [X2,X0,X1] :
( ~ r2(X0,sK3(sK12(X1,X2)))
| id(X0,X2) )
| ~ spl20_5
| ~ spl20_98 ),
inference(resolution,[],[f894,f145]) ).
fof(f2114,plain,
( spl20_225
| ~ spl20_54
| ~ spl20_95 ),
inference(avatar_split_clause,[],[f875,f813,f462,f2112]) ).
fof(f2112,plain,
( spl20_225
<=> ! [X0,X1] :
( id(sK19,sK9(X0,X1))
| ~ r1(sK11(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_225])]) ).
fof(f875,plain,
( ! [X0,X1] :
( id(sK19,sK9(X0,X1))
| ~ r1(sK11(X0,X1)) )
| ~ spl20_54
| ~ spl20_95 ),
inference(resolution,[],[f814,f463]) ).
fof(f2110,plain,
( spl20_224
| ~ spl20_9
| ~ spl20_94 ),
inference(avatar_split_clause,[],[f866,f809,f160,f2108]) ).
fof(f2108,plain,
( spl20_224
<=> ! [X2,X0,X1] :
( ~ id(X0,sK16(X1,X2))
| id(X0,sK8(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_224])]) ).
fof(f160,plain,
( spl20_9
<=> ! [X0,X1] : r2(X1,sK16(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_9])]) ).
fof(f866,plain,
( ! [X2,X0,X1] :
( ~ id(X0,sK16(X1,X2))
| id(X0,sK8(X2)) )
| ~ spl20_9
| ~ spl20_94 ),
inference(resolution,[],[f810,f161]) ).
fof(f161,plain,
( ! [X0,X1] : r2(X1,sK16(X0,X1))
| ~ spl20_9 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f2106,plain,
( spl20_223
| ~ spl20_8
| ~ spl20_94 ),
inference(avatar_split_clause,[],[f865,f809,f156,f2104]) ).
fof(f2104,plain,
( spl20_223
<=> ! [X2,X0,X1] :
( ~ id(X0,sK12(X1,X2))
| id(X0,sK8(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_223])]) ).
fof(f156,plain,
( spl20_8
<=> ! [X0,X1] : r2(X1,sK12(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_8])]) ).
fof(f865,plain,
( ! [X2,X0,X1] :
( ~ id(X0,sK12(X1,X2))
| id(X0,sK8(X2)) )
| ~ spl20_8
| ~ spl20_94 ),
inference(resolution,[],[f810,f157]) ).
fof(f157,plain,
( ! [X0,X1] : r2(X1,sK12(X0,X1))
| ~ spl20_8 ),
inference(avatar_component_clause,[],[f156]) ).
fof(f2102,plain,
( spl20_222
| ~ spl20_15
| ~ spl20_82 ),
inference(avatar_split_clause,[],[f736,f713,f188,f2100]) ).
fof(f2100,plain,
( spl20_222
<=> ! [X0] :
( ~ r1(sK2(X0))
| r1(X0)
| id(sK1(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_222])]) ).
fof(f736,plain,
( ! [X0] :
( ~ r1(sK2(X0))
| r1(X0)
| id(sK1(X0),X0) )
| ~ spl20_15
| ~ spl20_82 ),
inference(resolution,[],[f714,f189]) ).
fof(f2098,plain,
( spl20_221
| ~ spl20_64
| ~ spl20_81 ),
inference(avatar_split_clause,[],[f705,f647,f527,f2096]) ).
fof(f2096,plain,
( spl20_221
<=> ! [X0,X1] :
( id(sK9(X0,X1),sK19)
| ~ r1(sK11(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_221])]) ).
fof(f705,plain,
( ! [X0,X1] :
( id(sK9(X0,X1),sK19)
| ~ r1(sK11(X0,X1)) )
| ~ spl20_64
| ~ spl20_81 ),
inference(resolution,[],[f648,f528]) ).
fof(f2094,plain,
( spl20_220
| ~ spl20_23
| ~ spl20_81 ),
inference(avatar_split_clause,[],[f704,f647,f226,f2092]) ).
fof(f2092,plain,
( spl20_220
<=> ! [X0,X1] :
( id(sK11(X0,X1),sK19)
| ~ r1(sK9(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_220])]) ).
fof(f704,plain,
( ! [X0,X1] :
( id(sK11(X0,X1),sK19)
| ~ r1(sK9(X0,X1)) )
| ~ spl20_23
| ~ spl20_81 ),
inference(resolution,[],[f648,f227]) ).
fof(f2090,plain,
( spl20_219
| ~ spl20_62
| ~ spl20_80 ),
inference(avatar_split_clause,[],[f691,f643,f519,f2088]) ).
fof(f2088,plain,
( spl20_219
<=> ! [X0,X1] :
( id(sK8(X0),sK6(X1))
| ~ r2(X0,sK5(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_219])]) ).
fof(f691,plain,
( ! [X0,X1] :
( id(sK8(X0),sK6(X1))
| ~ r2(X0,sK5(X1)) )
| ~ spl20_62
| ~ spl20_80 ),
inference(resolution,[],[f644,f520]) ).
fof(f2086,plain,
( spl20_218
| ~ spl20_85
| ~ spl20_142 ),
inference(avatar_split_clause,[],[f1412,f1408,f725,f2084]) ).
fof(f1408,plain,
( spl20_142
<=> ! [X4,X0,X3,X2,X1] :
( ~ r1(X0)
| ~ id(sK18(X1,X2),X3)
| ~ r2(X4,X2)
| ~ r1(X4)
| ~ r2(X0,X3)
| ~ r1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_142])]) ).
fof(f1412,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r1(X0)
| ~ r2(X1,X2)
| ~ r1(X1)
| ~ r2(X0,X3)
| ~ r1(X4)
| ~ r3(X4,X2,X3) )
| ~ spl20_85
| ~ spl20_142 ),
inference(resolution,[],[f1409,f726]) ).
fof(f1409,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ id(sK18(X1,X2),X3)
| ~ r1(X0)
| ~ r2(X4,X2)
| ~ r1(X4)
| ~ r2(X0,X3)
| ~ r1(X1) )
| ~ spl20_142 ),
inference(avatar_component_clause,[],[f1408]) ).
fof(f2082,plain,
( spl20_217
| ~ spl20_61
| ~ spl20_71 ),
inference(avatar_split_clause,[],[f606,f555,f515,f2080]) ).
fof(f2080,plain,
( spl20_217
<=> ! [X0] :
( id(sK1(sK3(X0)),X0)
| r1(sK2(sK3(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_217])]) ).
fof(f606,plain,
( ! [X0] :
( id(sK1(sK3(X0)),X0)
| r1(sK2(sK3(X0))) )
| ~ spl20_61
| ~ spl20_71 ),
inference(resolution,[],[f556,f516]) ).
fof(f2078,plain,
( spl20_216
| ~ spl20_20
| ~ spl20_61 ),
inference(avatar_split_clause,[],[f562,f515,f214,f2076]) ).
fof(f2076,plain,
( spl20_216
<=> ! [X0] :
( r1(sK2(sK8(X0)))
| r2(X0,sK1(sK8(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_216])]) ).
fof(f562,plain,
( ! [X0] :
( r1(sK2(sK8(X0)))
| r2(X0,sK1(sK8(X0))) )
| ~ spl20_20
| ~ spl20_61 ),
inference(resolution,[],[f516,f215]) ).
fof(f1989,plain,
( spl20_215
| ~ spl20_36
| ~ spl20_187 ),
inference(avatar_split_clause,[],[f1858,f1776,f312,f1987]) ).
fof(f1987,plain,
( spl20_215
<=> ! [X2,X0,X1] :
( ~ r1(X0)
| ~ r1(X1)
| ~ r2(X0,sK3(sK3(sK15(X2,X1))))
| ~ r1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_215])]) ).
fof(f1858,plain,
( ! [X2,X0,X1] :
( ~ r1(X0)
| ~ r1(X1)
| ~ r2(X0,sK3(sK3(sK15(X2,X1))))
| ~ r1(X2) )
| ~ spl20_36
| ~ spl20_187 ),
inference(resolution,[],[f1777,f313]) ).
fof(f1956,plain,
( spl20_214
| ~ spl20_1
| ~ spl20_103 ),
inference(avatar_split_clause,[],[f979,f913,f128,f1954]) ).
fof(f1954,plain,
( spl20_214
<=> ! [X2,X0,X1] :
( r2(X0,sK16(X1,X2))
| ~ id(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_214])]) ).
fof(f979,plain,
( ! [X2,X0,X1] :
( r2(X0,sK16(X1,X2))
| ~ id(X2,X0) )
| ~ spl20_1
| ~ spl20_103 ),
inference(resolution,[],[f914,f129]) ).
fof(f1952,plain,
( spl20_213
| ~ spl20_1
| ~ spl20_102 ),
inference(avatar_split_clause,[],[f967,f909,f128,f1950]) ).
fof(f1950,plain,
( spl20_213
<=> ! [X2,X0,X1] :
( r2(X0,sK12(X1,X2))
| ~ id(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_213])]) ).
fof(f967,plain,
( ! [X2,X0,X1] :
( r2(X0,sK12(X1,X2))
| ~ id(X2,X0) )
| ~ spl20_1
| ~ spl20_102 ),
inference(resolution,[],[f910,f129]) ).
fof(f1948,plain,
( spl20_212
| ~ spl20_1
| ~ spl20_101 ),
inference(avatar_split_clause,[],[f959,f905,f128,f1946]) ).
fof(f1946,plain,
( spl20_212
<=> ! [X2,X0,X1] :
( r2(X0,sK16(X1,X2))
| ~ id(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_212])]) ).
fof(f959,plain,
( ! [X2,X0,X1] :
( r2(X0,sK16(X1,X2))
| ~ id(X0,X2) )
| ~ spl20_1
| ~ spl20_101 ),
inference(resolution,[],[f906,f129]) ).
fof(f1944,plain,
( spl20_211
| ~ spl20_1
| ~ spl20_100 ),
inference(avatar_split_clause,[],[f951,f901,f128,f1942]) ).
fof(f1942,plain,
( spl20_211
<=> ! [X2,X0,X1] :
( r2(X0,sK12(X1,X2))
| ~ id(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_211])]) ).
fof(f951,plain,
( ! [X2,X0,X1] :
( r2(X0,sK12(X1,X2))
| ~ id(X0,X2) )
| ~ spl20_1
| ~ spl20_100 ),
inference(resolution,[],[f902,f129]) ).
fof(f1940,plain,
( spl20_210
| ~ spl20_1
| ~ spl20_99 ),
inference(avatar_split_clause,[],[f943,f897,f128,f1938]) ).
fof(f1938,plain,
( spl20_210
<=> ! [X2,X0,X1] :
( ~ r2(X0,sK16(X1,X2))
| id(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_210])]) ).
fof(f943,plain,
( ! [X2,X0,X1] :
( ~ r2(X0,sK16(X1,X2))
| id(X0,X2) )
| ~ spl20_1
| ~ spl20_99 ),
inference(resolution,[],[f898,f129]) ).
fof(f1936,plain,
( spl20_209
| ~ spl20_1
| ~ spl20_98 ),
inference(avatar_split_clause,[],[f935,f893,f128,f1934]) ).
fof(f1934,plain,
( spl20_209
<=> ! [X2,X0,X1] :
( ~ r2(X0,sK12(X1,X2))
| id(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_209])]) ).
fof(f935,plain,
( ! [X2,X0,X1] :
( ~ r2(X0,sK12(X1,X2))
| id(X0,X2) )
| ~ spl20_1
| ~ spl20_98 ),
inference(resolution,[],[f894,f129]) ).
fof(f1932,plain,
( spl20_208
| ~ spl20_5
| ~ spl20_96 ),
inference(avatar_split_clause,[],[f883,f817,f144,f1930]) ).
fof(f1930,plain,
( spl20_208
<=> ! [X0,X1] : id(sK3(sK15(X0,X1)),sK13(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_208])]) ).
fof(f883,plain,
( ! [X0,X1] : id(sK3(sK15(X0,X1)),sK13(X0,X1))
| ~ spl20_5
| ~ spl20_96 ),
inference(resolution,[],[f818,f145]) ).
fof(f1928,plain,
( spl20_207
| ~ spl20_5
| ~ spl20_95 ),
inference(avatar_split_clause,[],[f874,f813,f144,f1926]) ).
fof(f1926,plain,
( spl20_207
<=> ! [X0,X1] : id(sK3(sK11(X0,X1)),sK9(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_207])]) ).
fof(f874,plain,
( ! [X0,X1] : id(sK3(sK11(X0,X1)),sK9(X0,X1))
| ~ spl20_5
| ~ spl20_95 ),
inference(resolution,[],[f814,f145]) ).
fof(f1924,plain,
( spl20_206
| ~ spl20_83
| ~ spl20_92 ),
inference(avatar_split_clause,[],[f862,f801,f717,f1922]) ).
fof(f1922,plain,
( spl20_206
<=> ! [X0,X1] :
( ~ id(X0,X1)
| r1(sK2(X1))
| ~ r1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_206])]) ).
fof(f862,plain,
( ! [X0,X1] :
( ~ id(X0,X1)
| r1(sK2(X1))
| ~ r1(X0) )
| ~ spl20_83
| ~ spl20_92 ),
inference(duplicate_literal_removal,[],[f853]) ).
fof(f853,plain,
( ! [X0,X1] :
( ~ id(X0,X1)
| r1(sK2(X1))
| ~ r1(X0)
| r1(sK2(X1)) )
| ~ spl20_83
| ~ spl20_92 ),
inference(resolution,[],[f802,f718]) ).
fof(f1920,plain,
( spl20_205
| ~ spl20_17
| ~ spl20_91 ),
inference(avatar_split_clause,[],[f847,f797,f196,f1918]) ).
fof(f1918,plain,
( spl20_205
<=> ! [X0,X1] :
( ~ r1(sK18(X0,X1))
| r1(sK14(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_205])]) ).
fof(f847,plain,
( ! [X0,X1] :
( ~ r1(sK18(X0,X1))
| r1(sK14(X0,X1)) )
| ~ spl20_17
| ~ spl20_91 ),
inference(resolution,[],[f798,f197]) ).
fof(f1916,plain,
( spl20_204
| ~ spl20_12
| ~ spl20_91 ),
inference(avatar_split_clause,[],[f846,f797,f175,f1914]) ).
fof(f1914,plain,
( spl20_204
<=> ! [X0] :
( ~ r1(sK18(X0,sK4(X0)))
| r1(sK3(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_204])]) ).
fof(f846,plain,
( ! [X0] :
( ~ r1(sK18(X0,sK4(X0)))
| r1(sK3(X0)) )
| ~ spl20_12
| ~ spl20_91 ),
inference(resolution,[],[f798,f176]) ).
fof(f1912,plain,
( spl20_203
| ~ spl20_17
| ~ spl20_90 ),
inference(avatar_split_clause,[],[f841,f793,f196,f1910]) ).
fof(f1910,plain,
( spl20_203
<=> ! [X0,X1] :
( ~ r1(sK14(X0,X1))
| r1(sK18(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_203])]) ).
fof(f841,plain,
( ! [X0,X1] :
( ~ r1(sK14(X0,X1))
| r1(sK18(X0,X1)) )
| ~ spl20_17
| ~ spl20_90 ),
inference(resolution,[],[f794,f197]) ).
fof(f1908,plain,
( spl20_202
| ~ spl20_24
| ~ spl20_187 ),
inference(avatar_split_clause,[],[f1861,f1776,f230,f1906]) ).
fof(f1861,plain,
( ! [X2,X0,X1] :
( ~ r1(X0)
| ~ r1(X1)
| ~ r2(X0,sK3(sK13(X2,X1)))
| ~ r1(X2) )
| ~ spl20_24
| ~ spl20_187 ),
inference(resolution,[],[f1777,f231]) ).
fof(f1904,plain,
( spl20_201
| ~ spl20_12
| ~ spl20_90 ),
inference(avatar_split_clause,[],[f840,f793,f175,f1902]) ).
fof(f840,plain,
( ! [X0] :
( ~ r1(sK3(X0))
| r1(sK18(X0,sK4(X0))) )
| ~ spl20_12
| ~ spl20_90 ),
inference(resolution,[],[f794,f176]) ).
fof(f1900,plain,
( spl20_200
| ~ spl20_16
| ~ spl20_89 ),
inference(avatar_split_clause,[],[f836,f789,f192,f1898]) ).
fof(f1898,plain,
( spl20_200
<=> ! [X0,X1] :
( ~ r1(sK17(X0,X1))
| r1(sK10(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_200])]) ).
fof(f836,plain,
( ! [X0,X1] :
( ~ r1(sK17(X0,X1))
| r1(sK10(X0,X1)) )
| ~ spl20_16
| ~ spl20_89 ),
inference(resolution,[],[f790,f193]) ).
fof(f1896,plain,
( spl20_199
| ~ spl20_16
| ~ spl20_88 ),
inference(avatar_split_clause,[],[f831,f785,f192,f1894]) ).
fof(f1894,plain,
( spl20_199
<=> ! [X0,X1] :
( ~ r1(sK10(X0,X1))
| r1(sK17(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_199])]) ).
fof(f831,plain,
( ! [X0,X1] :
( ~ r1(sK10(X0,X1))
| r1(sK17(X0,X1)) )
| ~ spl20_16
| ~ spl20_88 ),
inference(resolution,[],[f786,f193]) ).
fof(f1892,plain,
( spl20_198
| ~ spl20_14
| ~ spl20_88 ),
inference(avatar_split_clause,[],[f830,f785,f184,f1890]) ).
fof(f1890,plain,
( spl20_198
<=> ! [X0] :
( ~ r1(sK5(X0))
| r1(sK17(X0,sK7(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_198])]) ).
fof(f830,plain,
( ! [X0] :
( ~ r1(sK5(X0))
| r1(sK17(X0,sK7(X0))) )
| ~ spl20_14
| ~ spl20_88 ),
inference(resolution,[],[f786,f185]) ).
fof(f1888,plain,
( spl20_197
| ~ spl20_5
| ~ spl20_87 ),
inference(avatar_split_clause,[],[f825,f781,f144,f1886]) ).
fof(f1886,plain,
( spl20_197
<=> ! [X0] :
( ~ r1(sK3(sK1(X0)))
| id(X0,sK2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_197])]) ).
fof(f825,plain,
( ! [X0] :
( ~ r1(sK3(sK1(X0)))
| id(X0,sK2(X0)) )
| ~ spl20_5
| ~ spl20_87 ),
inference(resolution,[],[f782,f145]) ).
fof(f1884,plain,
( spl20_196
| ~ spl20_11
| ~ spl20_85 ),
inference(avatar_split_clause,[],[f779,f725,f168,f1882]) ).
fof(f1882,plain,
( spl20_196
<=> ! [X0,X1] :
( ~ r3(X0,X1,sK19)
| r1(sK18(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_196])]) ).
fof(f779,plain,
( ! [X0,X1] :
( ~ r3(X0,X1,sK19)
| r1(sK18(X0,X1)) )
| ~ spl20_11
| ~ spl20_85 ),
inference(resolution,[],[f726,f169]) ).
fof(f1880,plain,
( spl20_195
| ~ spl20_11
| ~ spl20_84 ),
inference(avatar_split_clause,[],[f764,f721,f168,f1878]) ).
fof(f1878,plain,
( spl20_195
<=> ! [X0,X1] :
( ~ r4(X0,X1,sK19)
| r1(sK17(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_195])]) ).
fof(f764,plain,
( ! [X0,X1] :
( ~ r4(X0,X1,sK19)
| r1(sK17(X0,X1)) )
| ~ spl20_11
| ~ spl20_84 ),
inference(resolution,[],[f722,f169]) ).
fof(f1876,plain,
( spl20_194
| ~ spl20_21
| ~ spl20_82 ),
inference(avatar_split_clause,[],[f740,f713,f218,f1874]) ).
fof(f1874,plain,
( spl20_194
<=> ! [X0] :
( ~ r1(sK2(X0))
| r1(X0)
| ~ r1(sK1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_194])]) ).
fof(f740,plain,
( ! [X0] :
( ~ r1(sK2(X0))
| r1(X0)
| ~ r1(sK1(X0)) )
| ~ spl20_21
| ~ spl20_82 ),
inference(duplicate_literal_removal,[],[f735]) ).
fof(f735,plain,
( ! [X0] :
( ~ r1(sK2(X0))
| r1(X0)
| ~ r1(sK1(X0))
| r1(X0) )
| ~ spl20_21
| ~ spl20_82 ),
inference(resolution,[],[f714,f219]) ).
fof(f1872,plain,
( spl20_193
| ~ spl20_62
| ~ spl20_71 ),
inference(avatar_split_clause,[],[f609,f555,f519,f1870]) ).
fof(f1870,plain,
( spl20_193
<=> ! [X0,X1] :
( id(sK8(X0),X1)
| ~ r2(X0,sK3(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_193])]) ).
fof(f609,plain,
( ! [X0,X1] :
( id(sK8(X0),X1)
| ~ r2(X0,sK3(X1)) )
| ~ spl20_62
| ~ spl20_71 ),
inference(resolution,[],[f556,f520]) ).
fof(f1868,plain,
( spl20_192
| ~ spl20_20
| ~ spl20_62 ),
inference(avatar_split_clause,[],[f570,f519,f214,f1866]) ).
fof(f1866,plain,
( spl20_192
<=> ! [X0,X1] :
( ~ r2(X0,sK8(X1))
| r2(X1,sK8(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_192])]) ).
fof(f570,plain,
( ! [X0,X1] :
( ~ r2(X0,sK8(X1))
| r2(X1,sK8(X0)) )
| ~ spl20_20
| ~ spl20_62 ),
inference(resolution,[],[f520,f215]) ).
fof(f1849,plain,
( spl20_191
| ~ spl20_38
| ~ spl20_54 ),
inference(avatar_split_clause,[],[f487,f462,f320,f1847]) ).
fof(f1847,plain,
( spl20_191
<=> ! [X0,X1] :
( ~ r1(sK18(X0,X1))
| r3(X0,X1,sK19) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_191])]) ).
fof(f487,plain,
( ! [X0,X1] :
( ~ r1(sK18(X0,X1))
| r3(X0,X1,sK19) )
| ~ spl20_38
| ~ spl20_54 ),
inference(resolution,[],[f463,f321]) ).
fof(f1845,plain,
( spl20_190
| ~ spl20_35
| ~ spl20_54 ),
inference(avatar_split_clause,[],[f486,f462,f308,f1843]) ).
fof(f1843,plain,
( spl20_190
<=> ! [X0,X1] :
( ~ r1(sK17(X0,X1))
| r4(X0,X1,sK19) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_190])]) ).
fof(f486,plain,
( ! [X0,X1] :
( ~ r1(sK17(X0,X1))
| r4(X0,X1,sK19) )
| ~ spl20_35
| ~ spl20_54 ),
inference(resolution,[],[f463,f309]) ).
fof(f1841,plain,
( spl20_189
| ~ spl20_39
| ~ spl20_54 ),
inference(avatar_split_clause,[],[f481,f462,f324,f1839]) ).
fof(f1839,plain,
( spl20_189
<=> ! [X0,X1] :
( ~ r1(X0)
| id(X1,X0)
| ~ id(X1,sK19) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_189])]) ).
fof(f481,plain,
( ! [X0,X1] :
( ~ r1(X0)
| id(X1,X0)
| ~ id(X1,sK19) )
| ~ spl20_39
| ~ spl20_54 ),
inference(resolution,[],[f463,f325]) ).
fof(f1837,plain,
( spl20_188
| ~ spl20_39
| ~ spl20_53 ),
inference(avatar_split_clause,[],[f477,f458,f324,f1835]) ).
fof(f1835,plain,
( spl20_188
<=> ! [X0,X1] :
( id(X0,sK5(X1))
| ~ id(X0,sK6(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_188])]) ).
fof(f477,plain,
( ! [X0,X1] :
( id(X0,sK5(X1))
| ~ id(X0,sK6(X1)) )
| ~ spl20_39
| ~ spl20_53 ),
inference(resolution,[],[f459,f325]) ).
fof(f1778,plain,
( spl20_187
| ~ spl20_74
| ~ spl20_180 ),
inference(avatar_split_clause,[],[f1771,f1720,f619,f1776]) ).
fof(f619,plain,
( spl20_74
<=> ! [X0,X3,X2,X1] :
( ~ id(sK15(X0,X1),X2)
| ~ r1(X3)
| ~ r1(X1)
| ~ r2(X3,X2)
| ~ r1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_74])]) ).
fof(f1771,plain,
( ! [X2,X3,X0,X1] :
( ~ id(sK15(X0,X1),X2)
| ~ r1(X3)
| ~ r1(X1)
| ~ r2(X3,sK3(X2))
| ~ r1(X0) )
| ~ spl20_74
| ~ spl20_180 ),
inference(resolution,[],[f1721,f620]) ).
fof(f620,plain,
( ! [X2,X3,X0,X1] :
( ~ id(sK15(X0,X1),X2)
| ~ r1(X3)
| ~ r1(X1)
| ~ r2(X3,X2)
| ~ r1(X0) )
| ~ spl20_74 ),
inference(avatar_component_clause,[],[f619]) ).
fof(f1746,plain,
( spl20_186
| ~ spl20_1
| ~ spl20_87 ),
inference(avatar_split_clause,[],[f822,f781,f128,f1744]) ).
fof(f1744,plain,
( spl20_186
<=> ! [X0] :
( ~ r1(sK1(X0))
| id(X0,sK2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_186])]) ).
fof(f822,plain,
( ! [X0] :
( ~ r1(sK1(X0))
| id(X0,sK2(X0)) )
| ~ spl20_1
| ~ spl20_87 ),
inference(resolution,[],[f782,f129]) ).
fof(f1742,plain,
( spl20_185
| ~ spl20_5
| ~ spl20_83 ),
inference(avatar_split_clause,[],[f746,f717,f144,f1740]) ).
fof(f1740,plain,
( spl20_185
<=> ! [X0] :
( ~ r1(sK3(sK1(X0)))
| r1(sK2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_185])]) ).
fof(f746,plain,
( ! [X0] :
( ~ r1(sK3(sK1(X0)))
| r1(sK2(X0)) )
| ~ spl20_5
| ~ spl20_83 ),
inference(resolution,[],[f718,f145]) ).
fof(f1738,plain,
( spl20_184
| ~ spl20_7
| ~ spl20_81 ),
inference(avatar_split_clause,[],[f702,f647,f152,f1736]) ).
fof(f1736,plain,
( spl20_184
<=> ! [X0] :
( id(sK5(X0),sK19)
| ~ r1(sK6(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_184])]) ).
fof(f152,plain,
( spl20_7
<=> ! [X0] : id(sK5(X0),sK6(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_7])]) ).
fof(f702,plain,
( ! [X0] :
( id(sK5(X0),sK19)
| ~ r1(sK6(X0)) )
| ~ spl20_7
| ~ spl20_81 ),
inference(resolution,[],[f648,f153]) ).
fof(f153,plain,
( ! [X0] : id(sK5(X0),sK6(X0))
| ~ spl20_7 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f1734,plain,
( spl20_183
| ~ spl20_53
| ~ spl20_81 ),
inference(avatar_split_clause,[],[f701,f647,f458,f1732]) ).
fof(f1732,plain,
( spl20_183
<=> ! [X0] :
( id(sK6(X0),sK19)
| ~ r1(sK5(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_183])]) ).
fof(f701,plain,
( ! [X0] :
( id(sK6(X0),sK19)
| ~ r1(sK5(X0)) )
| ~ spl20_53
| ~ spl20_81 ),
inference(resolution,[],[f648,f459]) ).
fof(f1730,plain,
( spl20_182
| ~ spl20_54
| ~ spl20_80 ),
inference(avatar_split_clause,[],[f690,f643,f462,f1728]) ).
fof(f1728,plain,
( spl20_182
<=> ! [X0] :
( id(sK19,sK6(X0))
| ~ r1(sK5(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_182])]) ).
fof(f690,plain,
( ! [X0] :
( id(sK19,sK6(X0))
| ~ r1(sK5(X0)) )
| ~ spl20_54
| ~ spl20_80 ),
inference(resolution,[],[f644,f463]) ).
fof(f1726,plain,
( spl20_181
| ~ spl20_29
| ~ spl20_55 ),
inference(avatar_split_clause,[],[f493,f466,f275,f1724]) ).
fof(f1724,plain,
( spl20_181
<=> ! [X0,X1] :
( ~ r1(X0)
| ~ id(X0,sK3(sK8(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_181])]) ).
fof(f275,plain,
( spl20_29
<=> ! [X2,X0,X1] :
( ~ r2(X0,X1)
| ~ r1(X2)
| ~ id(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_29])]) ).
fof(f493,plain,
( ! [X0,X1] :
( ~ r1(X0)
| ~ id(X0,sK3(sK8(X1))) )
| ~ spl20_29
| ~ spl20_55 ),
inference(resolution,[],[f467,f276]) ).
fof(f276,plain,
( ! [X2,X0,X1] :
( ~ r2(X0,X1)
| ~ r1(X2)
| ~ id(X2,X1) )
| ~ spl20_29 ),
inference(avatar_component_clause,[],[f275]) ).
fof(f1722,plain,
( spl20_180
| ~ spl20_36
| ~ spl20_39 ),
inference(avatar_split_clause,[],[f401,f324,f312,f1720]) ).
fof(f401,plain,
( ! [X0,X1] :
( id(X0,sK3(X1))
| ~ id(X0,X1) )
| ~ spl20_36
| ~ spl20_39 ),
inference(resolution,[],[f313,f325]) ).
fof(f1716,plain,
( spl20_179
| ~ spl20_50
| ~ spl20_97 ),
inference(avatar_split_clause,[],[f923,f889,f437,f1714]) ).
fof(f1714,plain,
( spl20_179
<=> ! [X4,X0,X3,X2,X1] :
( id(X2,sK2(sK9(X0,X1)))
| ~ id(X2,sK9(X0,X1))
| ~ r1(X3)
| ~ r2(X4,X0)
| ~ r1(X4)
| ~ r2(X3,sK1(sK9(X0,X1)))
| ~ r1(sK10(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_179])]) ).
fof(f923,plain,
( ! [X2,X3,X0,X1,X4] :
( id(X2,sK2(sK9(X0,X1)))
| ~ id(X2,sK9(X0,X1))
| ~ r1(X3)
| ~ r2(X4,X0)
| ~ r1(X4)
| ~ r2(X3,sK1(sK9(X0,X1)))
| ~ r1(sK10(X0,X1)) )
| ~ spl20_50
| ~ spl20_97 ),
inference(resolution,[],[f890,f438]) ).
fof(f1708,plain,
( spl20_178
| ~ spl20_49
| ~ spl20_97 ),
inference(avatar_split_clause,[],[f924,f889,f425,f1706]) ).
fof(f1706,plain,
( spl20_178
<=> ! [X4,X0,X3,X2,X1] :
( id(X2,sK2(sK14(X0,X1)))
| ~ id(X2,sK14(X0,X1))
| ~ r1(X3)
| ~ r2(X4,X1)
| ~ r1(X4)
| ~ r2(X3,sK1(sK14(X0,X1)))
| ~ r1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_178])]) ).
fof(f425,plain,
( spl20_49
<=> ! [X4,X0,X3,X2,X1] :
( ~ r1(X0)
| ~ id(sK14(X1,X2),X3)
| ~ r2(X4,X2)
| ~ r1(X4)
| ~ r2(X0,X3)
| ~ r1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_49])]) ).
fof(f924,plain,
( ! [X2,X3,X0,X1,X4] :
( id(X2,sK2(sK14(X0,X1)))
| ~ id(X2,sK14(X0,X1))
| ~ r1(X3)
| ~ r2(X4,X1)
| ~ r1(X4)
| ~ r2(X3,sK1(sK14(X0,X1)))
| ~ r1(X0) )
| ~ spl20_49
| ~ spl20_97 ),
inference(resolution,[],[f890,f426]) ).
fof(f426,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ id(sK14(X1,X2),X3)
| ~ r1(X0)
| ~ r2(X4,X2)
| ~ r1(X4)
| ~ r2(X0,X3)
| ~ r1(X1) )
| ~ spl20_49 ),
inference(avatar_component_clause,[],[f425]) ).
fof(f1704,plain,
( spl20_177
| ~ spl20_50
| ~ spl20_82 ),
inference(avatar_split_clause,[],[f737,f713,f437,f1702]) ).
fof(f1702,plain,
( spl20_177
<=> ! [X0,X3,X2,X1] :
( ~ r1(sK2(sK9(X0,X1)))
| r1(sK9(X0,X1))
| ~ r1(X2)
| ~ r2(X3,X0)
| ~ r1(X3)
| ~ r2(X2,sK1(sK9(X0,X1)))
| ~ r1(sK10(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_177])]) ).
fof(f737,plain,
( ! [X2,X3,X0,X1] :
( ~ r1(sK2(sK9(X0,X1)))
| r1(sK9(X0,X1))
| ~ r1(X2)
| ~ r2(X3,X0)
| ~ r1(X3)
| ~ r2(X2,sK1(sK9(X0,X1)))
| ~ r1(sK10(X0,X1)) )
| ~ spl20_50
| ~ spl20_82 ),
inference(resolution,[],[f714,f438]) ).
fof(f1700,plain,
( spl20_176
| ~ spl20_27
| ~ spl20_50 ),
inference(avatar_split_clause,[],[f450,f437,f267,f1698]) ).
fof(f1698,plain,
( spl20_176
<=> ! [X0,X3,X2,X1] :
( ~ r1(X0)
| ~ r2(X1,X2)
| ~ r1(X1)
| ~ r2(X0,sK2(sK9(X2,X3)))
| ~ r1(sK10(X2,X3))
| id(sK9(X2,X3),sK1(sK9(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_176])]) ).
fof(f450,plain,
( ! [X2,X3,X0,X1] :
( ~ r1(X0)
| ~ r2(X1,X2)
| ~ r1(X1)
| ~ r2(X0,sK2(sK9(X2,X3)))
| ~ r1(sK10(X2,X3))
| id(sK9(X2,X3),sK1(sK9(X2,X3))) )
| ~ spl20_27
| ~ spl20_50 ),
inference(resolution,[],[f438,f268]) ).
fof(f1681,plain,
( spl20_175
| ~ spl20_1
| ~ spl20_165 ),
inference(avatar_split_clause,[],[f1667,f1624,f128,f1679]) ).
fof(f1679,plain,
( spl20_175
<=> ! [X0] : ~ r1(sK8(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_175])]) ).
fof(f1667,plain,
( ! [X0] : ~ r1(sK8(X0))
| ~ spl20_1
| ~ spl20_165 ),
inference(resolution,[],[f1625,f129]) ).
fof(f1665,plain,
( spl20_174
| ~ spl20_1
| ~ spl20_83 ),
inference(avatar_split_clause,[],[f743,f717,f128,f1663]) ).
fof(f1663,plain,
( spl20_174
<=> ! [X0] :
( ~ r1(sK1(X0))
| r1(sK2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_174])]) ).
fof(f743,plain,
( ! [X0] :
( ~ r1(sK1(X0))
| r1(sK2(X0)) )
| ~ spl20_1
| ~ spl20_83 ),
inference(resolution,[],[f718,f129]) ).
fof(f1661,plain,
( spl20_173
| ~ spl20_36
| ~ spl20_81 ),
inference(avatar_split_clause,[],[f700,f647,f312,f1659]) ).
fof(f1659,plain,
( spl20_173
<=> ! [X0] :
( id(X0,sK19)
| ~ r1(sK3(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_173])]) ).
fof(f700,plain,
( ! [X0] :
( id(X0,sK19)
| ~ r1(sK3(X0)) )
| ~ spl20_36
| ~ spl20_81 ),
inference(resolution,[],[f648,f313]) ).
fof(f1657,plain,
( spl20_172
| ~ spl20_5
| ~ spl20_81 ),
inference(avatar_split_clause,[],[f695,f647,f144,f1655]) ).
fof(f1655,plain,
( spl20_172
<=> ! [X0] :
( id(sK3(X0),sK19)
| ~ r1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_172])]) ).
fof(f695,plain,
( ! [X0] :
( id(sK3(X0),sK19)
| ~ r1(X0) )
| ~ spl20_5
| ~ spl20_81 ),
inference(resolution,[],[f648,f145]) ).
fof(f1653,plain,
( spl20_171
| ~ spl20_5
| ~ spl20_80 ),
inference(avatar_split_clause,[],[f689,f643,f144,f1651]) ).
fof(f1651,plain,
( spl20_171
<=> ! [X0] : id(sK3(sK5(X0)),sK6(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_171])]) ).
fof(f689,plain,
( ! [X0] : id(sK3(sK5(X0)),sK6(X0))
| ~ spl20_5
| ~ spl20_80 ),
inference(resolution,[],[f644,f145]) ).
fof(f1649,plain,
( spl20_170
| ~ spl20_54
| ~ spl20_71 ),
inference(avatar_split_clause,[],[f608,f555,f462,f1647]) ).
fof(f1647,plain,
( spl20_170
<=> ! [X0] :
( id(sK19,X0)
| ~ r1(sK3(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_170])]) ).
fof(f608,plain,
( ! [X0] :
( id(sK19,X0)
| ~ r1(sK3(X0)) )
| ~ spl20_54
| ~ spl20_71 ),
inference(resolution,[],[f556,f463]) ).
fof(f1645,plain,
( spl20_169
| ~ spl20_11
| ~ spl20_62 ),
inference(avatar_split_clause,[],[f573,f519,f168,f1643]) ).
fof(f1643,plain,
( spl20_169
<=> ! [X0] :
( ~ r2(X0,sK19)
| r1(sK8(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_169])]) ).
fof(f573,plain,
( ! [X0] :
( ~ r2(X0,sK19)
| r1(sK8(X0)) )
| ~ spl20_11
| ~ spl20_62 ),
inference(resolution,[],[f520,f169]) ).
fof(f1641,plain,
( ~ spl20_13
| ~ spl20_154
| spl20_168 ),
inference(avatar_split_clause,[],[f1640,f1636,f1486,f179]) ).
fof(f1486,plain,
( spl20_154
<=> ! [X0] :
( ~ r1(X0)
| r1(sK2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_154])]) ).
fof(f1640,plain,
( ~ r1(sK19)
| ~ spl20_154
| spl20_168 ),
inference(resolution,[],[f1637,f1487]) ).
fof(f1487,plain,
( ! [X0] :
( r1(sK2(X0))
| ~ r1(X0) )
| ~ spl20_154 ),
inference(avatar_component_clause,[],[f1486]) ).
fof(f1637,plain,
( ~ r1(sK2(sK19))
| spl20_168 ),
inference(avatar_component_clause,[],[f1636]) ).
fof(f1639,plain,
( spl20_167
| spl20_168
| ~ spl20_11
| ~ spl20_61 ),
inference(avatar_split_clause,[],[f565,f515,f168,f1636,f1632]) ).
fof(f565,plain,
( r1(sK2(sK19))
| r1(sK1(sK19))
| ~ spl20_11
| ~ spl20_61 ),
inference(resolution,[],[f516,f169]) ).
fof(f1630,plain,
( spl20_166
| ~ spl20_20
| ~ spl20_54 ),
inference(avatar_split_clause,[],[f485,f462,f214,f1628]) ).
fof(f1628,plain,
( spl20_166
<=> ! [X0] :
( ~ r1(sK8(X0))
| r2(X0,sK19) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_166])]) ).
fof(f485,plain,
( ! [X0] :
( ~ r1(sK8(X0))
| r2(X0,sK19) )
| ~ spl20_20
| ~ spl20_54 ),
inference(resolution,[],[f463,f215]) ).
fof(f1626,plain,
( spl20_165
| ~ spl20_29
| ~ spl20_41 ),
inference(avatar_split_clause,[],[f419,f356,f275,f1624]) ).
fof(f419,plain,
( ! [X0,X1] :
( ~ r1(X0)
| ~ id(X0,sK8(X1)) )
| ~ spl20_29
| ~ spl20_41 ),
inference(resolution,[],[f357,f276]) ).
fof(f1607,plain,
( spl20_164
| ~ spl20_50
| ~ spl20_97 ),
inference(avatar_split_clause,[],[f931,f889,f437,f1605]) ).
fof(f1605,plain,
( spl20_164
<=> ! [X4,X0,X3,X2,X1] :
( id(X2,sK1(X2))
| ~ id(sK9(X0,X1),X2)
| ~ r1(X3)
| ~ r2(X4,X0)
| ~ r1(X4)
| ~ r2(X3,sK2(X2))
| ~ r1(sK10(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_164])]) ).
fof(f931,plain,
( ! [X2,X3,X0,X1,X4] :
( id(X2,sK1(X2))
| ~ id(sK9(X0,X1),X2)
| ~ r1(X3)
| ~ r2(X4,X0)
| ~ r1(X4)
| ~ r2(X3,sK2(X2))
| ~ r1(sK10(X0,X1)) )
| ~ spl20_50
| ~ spl20_97 ),
inference(resolution,[],[f890,f438]) ).
fof(f1603,plain,
( spl20_163
| ~ spl20_49
| ~ spl20_82 ),
inference(avatar_split_clause,[],[f738,f713,f425,f1601]) ).
fof(f1601,plain,
( spl20_163
<=> ! [X0,X3,X2,X1] :
( ~ r1(sK2(sK14(X0,X1)))
| r1(sK14(X0,X1))
| ~ r1(X2)
| ~ r2(X3,X1)
| ~ r1(X3)
| ~ r2(X2,sK1(sK14(X0,X1)))
| ~ r1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_163])]) ).
fof(f738,plain,
( ! [X2,X3,X0,X1] :
( ~ r1(sK2(sK14(X0,X1)))
| r1(sK14(X0,X1))
| ~ r1(X2)
| ~ r2(X3,X1)
| ~ r1(X3)
| ~ r2(X2,sK1(sK14(X0,X1)))
| ~ r1(X0) )
| ~ spl20_49
| ~ spl20_82 ),
inference(resolution,[],[f714,f426]) ).
fof(f1586,plain,
( spl20_162
| ~ spl20_50
| ~ spl20_92 ),
inference(avatar_split_clause,[],[f859,f801,f437,f1584]) ).
fof(f1584,plain,
( spl20_162
<=> ! [X4,X0,X3,X2,X1] :
( ~ id(sK9(X0,X1),X2)
| r1(sK2(X2))
| ~ r1(X3)
| ~ r2(X4,X0)
| ~ r1(X4)
| ~ r2(X3,sK1(X2))
| ~ r1(sK10(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_162])]) ).
fof(f859,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ id(sK9(X0,X1),X2)
| r1(sK2(X2))
| ~ r1(X3)
| ~ r2(X4,X0)
| ~ r1(X4)
| ~ r2(X3,sK1(X2))
| ~ r1(sK10(X0,X1)) )
| ~ spl20_50
| ~ spl20_92 ),
inference(resolution,[],[f802,f438]) ).
fof(f1582,plain,
( spl20_161
| ~ spl20_27
| ~ spl20_49 ),
inference(avatar_split_clause,[],[f430,f425,f267,f1580]) ).
fof(f1580,plain,
( spl20_161
<=> ! [X0,X3,X2,X1] :
( ~ r1(X0)
| ~ r2(X1,X2)
| ~ r1(X1)
| ~ r2(X0,sK2(sK14(X3,X2)))
| ~ r1(X3)
| id(sK14(X3,X2),sK1(sK14(X3,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_161])]) ).
fof(f430,plain,
( ! [X2,X3,X0,X1] :
( ~ r1(X0)
| ~ r2(X1,X2)
| ~ r1(X1)
| ~ r2(X0,sK2(sK14(X3,X2)))
| ~ r1(X3)
| id(sK14(X3,X2),sK1(sK14(X3,X2))) )
| ~ spl20_27
| ~ spl20_49 ),
inference(resolution,[],[f426,f268]) ).
fof(f1562,plain,
( spl20_160
| ~ spl20_49
| ~ spl20_97 ),
inference(avatar_split_clause,[],[f932,f889,f425,f1560]) ).
fof(f1560,plain,
( spl20_160
<=> ! [X4,X0,X3,X2,X1] :
( id(X2,sK1(X2))
| ~ id(sK14(X0,X1),X2)
| ~ r1(X3)
| ~ r2(X4,X1)
| ~ r1(X4)
| ~ r2(X3,sK2(X2))
| ~ r1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_160])]) ).
fof(f932,plain,
( ! [X2,X3,X0,X1,X4] :
( id(X2,sK1(X2))
| ~ id(sK14(X0,X1),X2)
| ~ r1(X3)
| ~ r2(X4,X1)
| ~ r1(X4)
| ~ r2(X3,sK2(X2))
| ~ r1(X0) )
| ~ spl20_49
| ~ spl20_97 ),
inference(resolution,[],[f890,f426]) ).
fof(f1558,plain,
( spl20_159
| ~ spl20_37
| ~ spl20_50 ),
inference(avatar_split_clause,[],[f454,f437,f316,f1556]) ).
fof(f1556,plain,
( spl20_159
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ r1(X0)
| ~ r2(X1,X2)
| ~ r1(X1)
| ~ r2(X0,sK18(X3,X4))
| ~ r1(sK10(X2,X5))
| ~ r3(X3,X4,sK9(X2,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_159])]) ).
fof(f454,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ r1(X0)
| ~ r2(X1,X2)
| ~ r1(X1)
| ~ r2(X0,sK18(X3,X4))
| ~ r1(sK10(X2,X5))
| ~ r3(X3,X4,sK9(X2,X5)) )
| ~ spl20_37
| ~ spl20_50 ),
inference(resolution,[],[f438,f317]) ).
fof(f1554,plain,
( spl20_158
| ~ spl20_34
| ~ spl20_50 ),
inference(avatar_split_clause,[],[f453,f437,f304,f1552]) ).
fof(f1552,plain,
( spl20_158
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ r1(X0)
| ~ r2(X1,X2)
| ~ r1(X1)
| ~ r2(X0,sK17(X3,X4))
| ~ r1(sK10(X2,X5))
| ~ r4(X3,X4,sK9(X2,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_158])]) ).
fof(f453,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ r1(X0)
| ~ r2(X1,X2)
| ~ r1(X1)
| ~ r2(X0,sK17(X3,X4))
| ~ r1(sK10(X2,X5))
| ~ r4(X3,X4,sK9(X2,X5)) )
| ~ spl20_34
| ~ spl20_50 ),
inference(resolution,[],[f438,f305]) ).
fof(f1550,plain,
( spl20_157
| ~ spl20_36
| ~ spl20_142 ),
inference(avatar_split_clause,[],[f1419,f1408,f312,f1548]) ).
fof(f1548,plain,
( spl20_157
<=> ! [X0,X3,X2,X1] :
( ~ r1(X0)
| ~ r2(X1,X2)
| ~ r1(X1)
| ~ r2(X0,sK3(sK18(X3,X2)))
| ~ r1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_157])]) ).
fof(f1419,plain,
( ! [X2,X3,X0,X1] :
( ~ r1(X0)
| ~ r2(X1,X2)
| ~ r1(X1)
| ~ r2(X0,sK3(sK18(X3,X2)))
| ~ r1(X3) )
| ~ spl20_36
| ~ spl20_142 ),
inference(resolution,[],[f1409,f313]) ).
fof(f1546,plain,
( spl20_156
| ~ spl20_18
| ~ spl20_50 ),
inference(avatar_split_clause,[],[f449,f437,f206,f1544]) ).
fof(f1544,plain,
( spl20_156
<=> ! [X0,X3,X2,X1] :
( ~ r1(X0)
| ~ r2(X1,X2)
| ~ r1(X1)
| ~ r2(X0,sK1(sK9(X2,X3)))
| ~ r1(sK10(X2,X3))
| r1(sK2(sK9(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_156])]) ).
fof(f449,plain,
( ! [X2,X3,X0,X1] :
( ~ r1(X0)
| ~ r2(X1,X2)
| ~ r1(X1)
| ~ r2(X0,sK1(sK9(X2,X3)))
| ~ r1(sK10(X2,X3))
| r1(sK2(sK9(X2,X3))) )
| ~ spl20_18
| ~ spl20_50 ),
inference(resolution,[],[f438,f207]) ).
fof(f1530,plain,
( spl20_155
| ~ spl20_49
| ~ spl20_92 ),
inference(avatar_split_clause,[],[f860,f801,f425,f1528]) ).
fof(f1528,plain,
( spl20_155
<=> ! [X4,X0,X3,X2,X1] :
( ~ id(sK14(X0,X1),X2)
| r1(sK2(X2))
| ~ r1(X3)
| ~ r2(X4,X1)
| ~ r1(X4)
| ~ r2(X3,sK1(X2))
| ~ r1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_155])]) ).
fof(f860,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ id(sK14(X0,X1),X2)
| r1(sK2(X2))
| ~ r1(X3)
| ~ r2(X4,X1)
| ~ r1(X4)
| ~ r2(X3,sK1(X2))
| ~ r1(X0) )
| ~ spl20_49
| ~ spl20_92 ),
inference(resolution,[],[f802,f426]) ).
fof(f1488,plain,
( spl20_154
| ~ spl20_18
| ~ spl20_83 ),
inference(avatar_split_clause,[],[f749,f717,f206,f1486]) ).
fof(f749,plain,
( ! [X0] :
( ~ r1(X0)
| r1(sK2(X0)) )
| ~ spl20_18
| ~ spl20_83 ),
inference(duplicate_literal_removal,[],[f742]) ).
fof(f742,plain,
( ! [X0] :
( ~ r1(X0)
| r1(sK2(X0))
| r1(sK2(X0)) )
| ~ spl20_18
| ~ spl20_83 ),
inference(resolution,[],[f718,f207]) ).
fof(f1484,plain,
( spl20_153
| ~ spl20_5
| ~ spl20_71 ),
inference(avatar_split_clause,[],[f607,f555,f144,f1482]) ).
fof(f607,plain,
( ! [X0] : id(sK3(sK3(X0)),X0)
| ~ spl20_5
| ~ spl20_71 ),
inference(resolution,[],[f556,f145]) ).
fof(f1480,plain,
( spl20_152
| ~ spl20_5
| ~ spl20_68 ),
inference(avatar_split_clause,[],[f596,f543,f144,f1478]) ).
fof(f1478,plain,
( spl20_152
<=> ! [X0,X1] : ~ r1(sK3(sK13(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_152])]) ).
fof(f596,plain,
( ! [X0,X1] : ~ r1(sK3(sK13(X0,X1)))
| ~ spl20_5
| ~ spl20_68 ),
inference(resolution,[],[f544,f145]) ).
fof(f1476,plain,
( spl20_151
| ~ spl20_5
| ~ spl20_67 ),
inference(avatar_split_clause,[],[f590,f539,f144,f1474]) ).
fof(f1474,plain,
( spl20_151
<=> ! [X0,X1] : ~ r1(sK3(sK16(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_151])]) ).
fof(f590,plain,
( ! [X0,X1] : ~ r1(sK3(sK16(X0,X1)))
| ~ spl20_5
| ~ spl20_67 ),
inference(resolution,[],[f540,f145]) ).
fof(f1472,plain,
( spl20_150
| ~ spl20_5
| ~ spl20_66 ),
inference(avatar_split_clause,[],[f585,f535,f144,f1470]) ).
fof(f1470,plain,
( spl20_150
<=> ! [X0,X1] : ~ r1(sK3(sK12(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_150])]) ).
fof(f585,plain,
( ! [X0,X1] : ~ r1(sK3(sK12(X0,X1)))
| ~ spl20_5
| ~ spl20_66 ),
inference(resolution,[],[f536,f145]) ).
fof(f1464,plain,
( spl20_149
| ~ spl20_19
| ~ spl20_50 ),
inference(avatar_split_clause,[],[f452,f437,f210,f1462]) ).
fof(f1462,plain,
( spl20_149
<=> ! [X4,X0,X3,X2,X1] :
( ~ r1(X0)
| ~ r2(X1,X2)
| ~ r1(X1)
| ~ r2(X0,sK8(X3))
| ~ r1(sK10(X2,X4))
| ~ r2(X3,sK9(X2,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_149])]) ).
fof(f452,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r1(X0)
| ~ r2(X1,X2)
| ~ r1(X1)
| ~ r2(X0,sK8(X3))
| ~ r1(sK10(X2,X4))
| ~ r2(X3,sK9(X2,X4)) )
| ~ spl20_19
| ~ spl20_50 ),
inference(resolution,[],[f438,f211]) ).
fof(f1460,plain,
( spl20_148
| ~ spl20_37
| ~ spl20_49 ),
inference(avatar_split_clause,[],[f434,f425,f316,f1458]) ).
fof(f1458,plain,
( spl20_148
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ r1(X0)
| ~ r2(X1,X2)
| ~ r1(X1)
| ~ r2(X0,sK18(X3,X4))
| ~ r1(X5)
| ~ r3(X3,X4,sK14(X5,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_148])]) ).
fof(f434,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ r1(X0)
| ~ r2(X1,X2)
| ~ r1(X1)
| ~ r2(X0,sK18(X3,X4))
| ~ r1(X5)
| ~ r3(X3,X4,sK14(X5,X2)) )
| ~ spl20_37
| ~ spl20_49 ),
inference(resolution,[],[f426,f317]) ).
fof(f1456,plain,
( spl20_147
| ~ spl20_34
| ~ spl20_49 ),
inference(avatar_split_clause,[],[f433,f425,f304,f1454]) ).
fof(f1454,plain,
( spl20_147
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ r1(X0)
| ~ r2(X1,X2)
| ~ r1(X1)
| ~ r2(X0,sK17(X3,X4))
| ~ r1(X5)
| ~ r4(X3,X4,sK14(X5,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_147])]) ).
fof(f433,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ r1(X0)
| ~ r2(X1,X2)
| ~ r1(X1)
| ~ r2(X0,sK17(X3,X4))
| ~ r1(X5)
| ~ r4(X3,X4,sK14(X5,X2)) )
| ~ spl20_34
| ~ spl20_49 ),
inference(resolution,[],[f426,f305]) ).
fof(f1452,plain,
( spl20_146
| ~ spl20_1
| ~ spl20_142 ),
inference(avatar_split_clause,[],[f1411,f1408,f128,f1450]) ).
fof(f1450,plain,
( spl20_146
<=> ! [X0,X3,X2,X1] :
( ~ r1(X0)
| ~ r2(X1,X2)
| ~ r1(X1)
| ~ r2(X0,sK18(X3,X2))
| ~ r1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_146])]) ).
fof(f1411,plain,
( ! [X2,X3,X0,X1] :
( ~ r1(X0)
| ~ r2(X1,X2)
| ~ r1(X1)
| ~ r2(X0,sK18(X3,X2))
| ~ r1(X3) )
| ~ spl20_1
| ~ spl20_142 ),
inference(resolution,[],[f1409,f129]) ).
fof(f1448,plain,
( spl20_145
| ~ spl20_18
| ~ spl20_49 ),
inference(avatar_split_clause,[],[f429,f425,f206,f1446]) ).
fof(f1446,plain,
( spl20_145
<=> ! [X0,X3,X2,X1] :
( ~ r1(X0)
| ~ r2(X1,X2)
| ~ r1(X1)
| ~ r2(X0,sK1(sK14(X3,X2)))
| ~ r1(X3)
| r1(sK2(sK14(X3,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_145])]) ).
fof(f429,plain,
( ! [X2,X3,X0,X1] :
( ~ r1(X0)
| ~ r2(X1,X2)
| ~ r1(X1)
| ~ r2(X0,sK1(sK14(X3,X2)))
| ~ r1(X3)
| r1(sK2(sK14(X3,X2))) )
| ~ spl20_18
| ~ spl20_49 ),
inference(resolution,[],[f426,f207]) ).
fof(f1431,plain,
( spl20_144
| ~ spl20_6
| ~ spl20_70 ),
inference(avatar_split_clause,[],[f603,f551,f148,f1429]) ).
fof(f148,plain,
( spl20_6
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ r2(X2,X1)
| ~ r1(X2)
| ~ id(X0,X1)
| ~ r2(X4,X3)
| ~ r1(X4)
| ~ r3(X5,X3,X0)
| ~ r1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_6])]) ).
fof(f551,plain,
( spl20_70
<=> ! [X0,X1] : r3(X0,X1,sK3(sK18(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_70])]) ).
fof(f603,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r1(X0)
| ~ id(sK3(sK18(X1,X2)),X3)
| ~ r2(X4,X2)
| ~ r1(X4)
| ~ r2(X0,X3)
| ~ r1(X1) )
| ~ spl20_6
| ~ spl20_70 ),
inference(resolution,[],[f552,f149]) ).
fof(f149,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ r3(X5,X3,X0)
| ~ r1(X2)
| ~ id(X0,X1)
| ~ r2(X4,X3)
| ~ r1(X4)
| ~ r2(X2,X1)
| ~ r1(X5) )
| ~ spl20_6 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f552,plain,
( ! [X0,X1] : r3(X0,X1,sK3(sK18(X0,X1)))
| ~ spl20_70 ),
inference(avatar_component_clause,[],[f551]) ).
fof(f1427,plain,
( spl20_143
| ~ spl20_19
| ~ spl20_49 ),
inference(avatar_split_clause,[],[f432,f425,f210,f1425]) ).
fof(f1425,plain,
( spl20_143
<=> ! [X4,X0,X3,X2,X1] :
( ~ r1(X0)
| ~ r2(X1,X2)
| ~ r1(X1)
| ~ r2(X0,sK8(X3))
| ~ r1(X4)
| ~ r2(X3,sK14(X4,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_143])]) ).
fof(f432,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r1(X0)
| ~ r2(X1,X2)
| ~ r1(X1)
| ~ r2(X0,sK8(X3))
| ~ r1(X4)
| ~ r2(X3,sK14(X4,X2)) )
| ~ spl20_19
| ~ spl20_49 ),
inference(resolution,[],[f426,f211]) ).
fof(f1410,plain,
( spl20_142
| ~ spl20_6
| ~ spl20_60 ),
inference(avatar_split_clause,[],[f513,f505,f148,f1408]) ).
fof(f505,plain,
( spl20_60
<=> ! [X0,X1] : r3(X0,X1,sK18(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_60])]) ).
fof(f513,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r1(X0)
| ~ id(sK18(X1,X2),X3)
| ~ r2(X4,X2)
| ~ r1(X4)
| ~ r2(X0,X3)
| ~ r1(X1) )
| ~ spl20_6
| ~ spl20_60 ),
inference(resolution,[],[f506,f149]) ).
fof(f506,plain,
( ! [X0,X1] : r3(X0,X1,sK18(X0,X1))
| ~ spl20_60 ),
inference(avatar_component_clause,[],[f505]) ).
fof(f1406,plain,
( spl20_141
| ~ spl20_36
| ~ spl20_50 ),
inference(avatar_split_clause,[],[f451,f437,f312,f1404]) ).
fof(f1404,plain,
( spl20_141
<=> ! [X0,X3,X2,X1] :
( ~ r1(X0)
| ~ r2(X1,X2)
| ~ r1(X1)
| ~ r2(X0,sK3(sK9(X2,X3)))
| ~ r1(sK10(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_141])]) ).
fof(f451,plain,
( ! [X2,X3,X0,X1] :
( ~ r1(X0)
| ~ r2(X1,X2)
| ~ r1(X1)
| ~ r2(X0,sK3(sK9(X2,X3)))
| ~ r1(sK10(X2,X3)) )
| ~ spl20_36
| ~ spl20_50 ),
inference(resolution,[],[f438,f313]) ).
fof(f1402,plain,
( spl20_140
| ~ spl20_1
| ~ spl20_68 ),
inference(avatar_split_clause,[],[f594,f543,f128,f1400]) ).
fof(f1400,plain,
( spl20_140
<=> ! [X0,X1] : ~ r1(sK13(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_140])]) ).
fof(f594,plain,
( ! [X0,X1] : ~ r1(sK13(X0,X1))
| ~ spl20_1
| ~ spl20_68 ),
inference(resolution,[],[f544,f129]) ).
fof(f1398,plain,
( spl20_139
| ~ spl20_24
| ~ spl20_68 ),
inference(avatar_split_clause,[],[f593,f543,f230,f1396]) ).
fof(f1396,plain,
( spl20_139
<=> ! [X0,X1] : ~ r1(sK15(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_139])]) ).
fof(f593,plain,
( ! [X0,X1] : ~ r1(sK15(X0,X1))
| ~ spl20_24
| ~ spl20_68 ),
inference(resolution,[],[f544,f231]) ).
fof(f1394,plain,
( spl20_138
| ~ spl20_1
| ~ spl20_67 ),
inference(avatar_split_clause,[],[f588,f539,f128,f1392]) ).
fof(f1392,plain,
( spl20_138
<=> ! [X0,X1] : ~ r1(sK16(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_138])]) ).
fof(f588,plain,
( ! [X0,X1] : ~ r1(sK16(X0,X1))
| ~ spl20_1
| ~ spl20_67 ),
inference(resolution,[],[f540,f129]) ).
fof(f1390,plain,
( spl20_137
| ~ spl20_1
| ~ spl20_66 ),
inference(avatar_split_clause,[],[f583,f535,f128,f1388]) ).
fof(f1388,plain,
( spl20_137
<=> ! [X0,X1] : ~ r1(sK12(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_137])]) ).
fof(f583,plain,
( ! [X0,X1] : ~ r1(sK12(X0,X1))
| ~ spl20_1
| ~ spl20_66 ),
inference(resolution,[],[f536,f129]) ).
fof(f1386,plain,
( spl20_136
| ~ spl20_50
| ~ spl20_64 ),
inference(avatar_split_clause,[],[f574,f527,f437,f1384]) ).
fof(f1384,plain,
( spl20_136
<=> ! [X0,X3,X2,X1] :
( ~ r1(X0)
| ~ r2(X1,X2)
| ~ r1(X1)
| ~ r2(X0,sK11(X2,X3))
| ~ r1(sK10(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_136])]) ).
fof(f574,plain,
( ! [X2,X3,X0,X1] :
( ~ r1(X0)
| ~ r2(X1,X2)
| ~ r1(X1)
| ~ r2(X0,sK11(X2,X3))
| ~ r1(sK10(X2,X3)) )
| ~ spl20_50
| ~ spl20_64 ),
inference(resolution,[],[f528,f438]) ).
fof(f1382,plain,
( spl20_135
| ~ spl20_19
| ~ spl20_74 ),
inference(avatar_split_clause,[],[f661,f619,f210,f1380]) ).
fof(f1380,plain,
( spl20_135
<=> ! [X0,X3,X2,X1] :
( ~ r1(X0)
| ~ r1(X1)
| ~ r2(X0,sK8(X2))
| ~ r1(X3)
| ~ r2(X2,sK15(X3,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_135])]) ).
fof(f661,plain,
( ! [X2,X3,X0,X1] :
( ~ r1(X0)
| ~ r1(X1)
| ~ r2(X0,sK8(X2))
| ~ r1(X3)
| ~ r2(X2,sK15(X3,X1)) )
| ~ spl20_19
| ~ spl20_74 ),
inference(resolution,[],[f620,f211]) ).
fof(f1378,plain,
( spl20_134
| ~ spl20_1
| ~ spl20_50 ),
inference(avatar_split_clause,[],[f448,f437,f128,f1376]) ).
fof(f1376,plain,
( spl20_134
<=> ! [X0,X3,X2,X1] :
( ~ r1(X0)
| ~ r2(X1,X2)
| ~ r1(X1)
| ~ r2(X0,sK9(X2,X3))
| ~ r1(sK10(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_134])]) ).
fof(f448,plain,
( ! [X2,X3,X0,X1] :
( ~ r1(X0)
| ~ r2(X1,X2)
| ~ r1(X1)
| ~ r2(X0,sK9(X2,X3))
| ~ r1(sK10(X2,X3)) )
| ~ spl20_1
| ~ spl20_50 ),
inference(resolution,[],[f438,f129]) ).
fof(f1374,plain,
( spl20_132
| spl20_133
| ~ spl20_10
| ~ spl20_49 ),
inference(avatar_split_clause,[],[f435,f425,f164,f1372,f1369]) ).
fof(f1369,plain,
( spl20_132
<=> ! [X2,X1,X3] :
( ~ r2(X1,X2)
| ~ r1(X3)
| ~ r1(sK14(X3,X2))
| ~ r1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_132])]) ).
fof(f435,plain,
( ! [X2,X3,X0,X1] :
( ~ r1(X0)
| ~ r2(X1,X2)
| ~ r1(X1)
| ~ r2(X0,sK19)
| ~ r1(X3)
| ~ r1(sK14(X3,X2)) )
| ~ spl20_10
| ~ spl20_49 ),
inference(resolution,[],[f426,f165]) ).
fof(f1304,plain,
( spl20_131
| ~ spl20_36
| ~ spl20_49 ),
inference(avatar_split_clause,[],[f431,f425,f312,f1302]) ).
fof(f1302,plain,
( spl20_131
<=> ! [X0,X3,X2,X1] :
( ~ r1(X0)
| ~ r2(X1,X2)
| ~ r1(X1)
| ~ r2(X0,sK3(sK14(X3,X2)))
| ~ r1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_131])]) ).
fof(f431,plain,
( ! [X2,X3,X0,X1] :
( ~ r1(X0)
| ~ r2(X1,X2)
| ~ r1(X1)
| ~ r2(X0,sK3(sK14(X3,X2)))
| ~ r1(X3) )
| ~ spl20_36
| ~ spl20_49 ),
inference(resolution,[],[f426,f313]) ).
fof(f1300,plain,
( spl20_130
| ~ spl20_31
| ~ spl20_47 ),
inference(avatar_split_clause,[],[f415,f395,f283,f1298]) ).
fof(f395,plain,
( spl20_47
<=> ! [X3,X4,X0,X5,X2,X1] :
( r3(X3,X4,X5)
| ~ r3(X0,X1,X2)
| ~ id(X2,X5)
| ~ id(X1,X4)
| ~ id(X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_47])]) ).
fof(f415,plain,
( ! [X2,X3,X0,X1,X4] :
( r3(X0,X1,X2)
| ~ id(sK9(X3,X4),X2)
| ~ id(X3,X1)
| ~ id(sK10(X3,X4),X0) )
| ~ spl20_31
| ~ spl20_47 ),
inference(resolution,[],[f396,f284]) ).
fof(f396,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ r3(X0,X1,X2)
| r3(X3,X4,X5)
| ~ id(X2,X5)
| ~ id(X1,X4)
| ~ id(X0,X3) )
| ~ spl20_47 ),
inference(avatar_component_clause,[],[f395]) ).
fof(f1296,plain,
( spl20_129
| ~ spl20_32
| ~ spl20_47 ),
inference(avatar_split_clause,[],[f414,f395,f287,f1294]) ).
fof(f414,plain,
( ! [X2,X3,X0,X1,X4] :
( r3(X0,X1,X2)
| ~ id(sK15(X3,X4),X2)
| ~ id(sK16(X3,X4),X1)
| ~ id(X3,X0) )
| ~ spl20_32
| ~ spl20_47 ),
inference(resolution,[],[f396,f288]) ).
fof(f1292,plain,
( spl20_128
| ~ spl20_31
| ~ spl20_46 ),
inference(avatar_split_clause,[],[f411,f391,f283,f1290]) ).
fof(f391,plain,
( spl20_46
<=> ! [X3,X4,X0,X5,X2,X1] :
( r3(X0,X1,X2)
| ~ r3(X3,X4,X5)
| ~ id(X2,X5)
| ~ id(X1,X4)
| ~ id(X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_46])]) ).
fof(f411,plain,
( ! [X2,X3,X0,X1,X4] :
( r3(X0,X1,X2)
| ~ id(X2,sK9(X3,X4))
| ~ id(X1,X3)
| ~ id(X0,sK10(X3,X4)) )
| ~ spl20_31
| ~ spl20_46 ),
inference(resolution,[],[f392,f284]) ).
fof(f392,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ r3(X3,X4,X5)
| r3(X0,X1,X2)
| ~ id(X2,X5)
| ~ id(X1,X4)
| ~ id(X0,X3) )
| ~ spl20_46 ),
inference(avatar_component_clause,[],[f391]) ).
fof(f1288,plain,
( spl20_127
| ~ spl20_32
| ~ spl20_46 ),
inference(avatar_split_clause,[],[f410,f391,f287,f1286]) ).
fof(f410,plain,
( ! [X2,X3,X0,X1,X4] :
( r3(X0,X1,X2)
| ~ id(X2,sK15(X3,X4))
| ~ id(X1,sK16(X3,X4))
| ~ id(X0,X3) )
| ~ spl20_32
| ~ spl20_46 ),
inference(resolution,[],[f392,f288]) ).
fof(f1284,plain,
( spl20_126
| ~ spl20_30
| ~ spl20_45 ),
inference(avatar_split_clause,[],[f407,f387,f279,f1282]) ).
fof(f387,plain,
( spl20_45
<=> ! [X3,X4,X0,X5,X2,X1] :
( r4(X3,X4,X5)
| ~ r4(X0,X1,X2)
| ~ id(X2,X5)
| ~ id(X1,X4)
| ~ id(X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_45])]) ).
fof(f407,plain,
( ! [X2,X3,X0,X1,X4] :
( r4(X0,X1,X2)
| ~ id(sK11(X3,X4),X2)
| ~ id(sK12(X3,X4),X1)
| ~ id(X3,X0) )
| ~ spl20_30
| ~ spl20_45 ),
inference(resolution,[],[f388,f280]) ).
fof(f388,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ r4(X0,X1,X2)
| r4(X3,X4,X5)
| ~ id(X2,X5)
| ~ id(X1,X4)
| ~ id(X0,X3) )
| ~ spl20_45 ),
inference(avatar_component_clause,[],[f387]) ).
fof(f1280,plain,
( spl20_125
| ~ spl20_30
| ~ spl20_44 ),
inference(avatar_split_clause,[],[f400,f383,f279,f1278]) ).
fof(f383,plain,
( spl20_44
<=> ! [X3,X4,X0,X5,X2,X1] :
( r4(X0,X1,X2)
| ~ r4(X3,X4,X5)
| ~ id(X2,X5)
| ~ id(X1,X4)
| ~ id(X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_44])]) ).
fof(f400,plain,
( ! [X2,X3,X0,X1,X4] :
( r4(X0,X1,X2)
| ~ id(X2,sK11(X3,X4))
| ~ id(X1,sK12(X3,X4))
| ~ id(X0,X3) )
| ~ spl20_30
| ~ spl20_44 ),
inference(resolution,[],[f384,f280]) ).
fof(f384,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ r4(X3,X4,X5)
| r4(X0,X1,X2)
| ~ id(X2,X5)
| ~ id(X1,X4)
| ~ id(X0,X3) )
| ~ spl20_44 ),
inference(avatar_component_clause,[],[f383]) ).
fof(f1157,plain,
( spl20_124
| ~ spl20_17
| ~ spl20_47 ),
inference(avatar_split_clause,[],[f413,f395,f196,f1155]) ).
fof(f413,plain,
( ! [X2,X3,X0,X1,X4] :
( r3(X0,X1,X2)
| ~ id(sK14(X3,X4),X2)
| ~ id(X4,X1)
| ~ id(X3,X0) )
| ~ spl20_17
| ~ spl20_47 ),
inference(resolution,[],[f396,f197]) ).
fof(f1153,plain,
( spl20_123
| ~ spl20_12
| ~ spl20_47 ),
inference(avatar_split_clause,[],[f412,f395,f175,f1151]) ).
fof(f412,plain,
( ! [X2,X3,X0,X1] :
( r3(X0,X1,X2)
| ~ id(sK3(X3),X2)
| ~ id(sK4(X3),X1)
| ~ id(X3,X0) )
| ~ spl20_12
| ~ spl20_47 ),
inference(resolution,[],[f396,f176]) ).
fof(f1149,plain,
( spl20_122
| ~ spl20_17
| ~ spl20_46 ),
inference(avatar_split_clause,[],[f409,f391,f196,f1147]) ).
fof(f409,plain,
( ! [X2,X3,X0,X1,X4] :
( r3(X0,X1,X2)
| ~ id(X2,sK14(X3,X4))
| ~ id(X1,X4)
| ~ id(X0,X3) )
| ~ spl20_17
| ~ spl20_46 ),
inference(resolution,[],[f392,f197]) ).
fof(f1145,plain,
( spl20_121
| ~ spl20_36
| ~ spl20_74 ),
inference(avatar_split_clause,[],[f660,f619,f312,f1143]) ).
fof(f1143,plain,
( spl20_121
<=> ! [X2,X0,X1] :
( ~ r1(X0)
| ~ r1(X1)
| ~ r2(X0,sK3(sK15(X2,X1)))
| ~ r1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_121])]) ).
fof(f660,plain,
( ! [X2,X0,X1] :
( ~ r1(X0)
| ~ r1(X1)
| ~ r2(X0,sK3(sK15(X2,X1)))
| ~ r1(X2) )
| ~ spl20_36
| ~ spl20_74 ),
inference(resolution,[],[f620,f313]) ).
fof(f1141,plain,
( spl20_120
| ~ spl20_12
| ~ spl20_46 ),
inference(avatar_split_clause,[],[f408,f391,f175,f1139]) ).
fof(f408,plain,
( ! [X2,X3,X0,X1] :
( r3(X0,X1,X2)
| ~ id(X2,sK3(X3))
| ~ id(X1,sK4(X3))
| ~ id(X0,X3) )
| ~ spl20_12
| ~ spl20_46 ),
inference(resolution,[],[f392,f176]) ).
fof(f1137,plain,
( spl20_119
| ~ spl20_16
| ~ spl20_45 ),
inference(avatar_split_clause,[],[f406,f387,f192,f1135]) ).
fof(f406,plain,
( ! [X2,X3,X0,X1,X4] :
( r4(X0,X1,X2)
| ~ id(sK10(X3,X4),X2)
| ~ id(X4,X1)
| ~ id(X3,X0) )
| ~ spl20_16
| ~ spl20_45 ),
inference(resolution,[],[f388,f193]) ).
fof(f1133,plain,
( spl20_118
| ~ spl20_14
| ~ spl20_45 ),
inference(avatar_split_clause,[],[f405,f387,f184,f1131]) ).
fof(f405,plain,
( ! [X2,X3,X0,X1] :
( r4(X0,X1,X2)
| ~ id(sK5(X3),X2)
| ~ id(sK7(X3),X1)
| ~ id(X3,X0) )
| ~ spl20_14
| ~ spl20_45 ),
inference(resolution,[],[f388,f185]) ).
fof(f1129,plain,
( spl20_117
| ~ spl20_16
| ~ spl20_44 ),
inference(avatar_split_clause,[],[f399,f383,f192,f1127]) ).
fof(f399,plain,
( ! [X2,X3,X0,X1,X4] :
( r4(X0,X1,X2)
| ~ id(X2,sK10(X3,X4))
| ~ id(X1,X4)
| ~ id(X0,X3) )
| ~ spl20_16
| ~ spl20_44 ),
inference(resolution,[],[f384,f193]) ).
fof(f1125,plain,
( spl20_116
| ~ spl20_14
| ~ spl20_44 ),
inference(avatar_split_clause,[],[f398,f383,f184,f1123]) ).
fof(f398,plain,
( ! [X2,X3,X0,X1] :
( r4(X0,X1,X2)
| ~ id(X2,sK5(X3))
| ~ id(X1,sK7(X3))
| ~ id(X0,X3) )
| ~ spl20_14
| ~ spl20_44 ),
inference(resolution,[],[f384,f185]) ).
fof(f1121,plain,
( spl20_115
| ~ spl20_33
| ~ spl20_43 ),
inference(avatar_split_clause,[],[f380,f364,f300,f1119]) ).
fof(f380,plain,
( ! [X2,X0,X1] :
( r2(X0,X1)
| ~ id(sK1(X2),X1)
| ~ id(sK0(X2),X0)
| id(X2,sK2(X2)) )
| ~ spl20_33
| ~ spl20_43 ),
inference(resolution,[],[f365,f301]) ).
fof(f1117,plain,
( spl20_114
| ~ spl20_33
| ~ spl20_42 ),
inference(avatar_split_clause,[],[f375,f360,f300,f1115]) ).
fof(f375,plain,
( ! [X2,X0,X1] :
( r2(X0,X1)
| ~ id(X1,sK1(X2))
| ~ id(X0,sK0(X2))
| id(X2,sK2(X2)) )
| ~ spl20_33
| ~ spl20_42 ),
inference(resolution,[],[f361,f301]) ).
fof(f1113,plain,
( spl20_113
| ~ spl20_33
| ~ spl20_40 ),
inference(avatar_split_clause,[],[f370,f352,f300,f1111]) ).
fof(f370,plain,
( ! [X2,X0,X1] :
( id(X0,sK0(X1))
| ~ r2(X0,X2)
| ~ id(X2,sK1(X1))
| id(X1,sK2(X1)) )
| ~ spl20_33
| ~ spl20_40 ),
inference(resolution,[],[f353,f301]) ).
fof(f1067,plain,
( spl20_112
| ~ spl20_28
| ~ spl20_43 ),
inference(avatar_split_clause,[],[f381,f364,f271,f1065]) ).
fof(f381,plain,
( ! [X2,X0,X1] :
( r2(X0,X1)
| ~ id(sK1(X2),X1)
| ~ id(sK0(X2),X0)
| r1(sK2(X2)) )
| ~ spl20_28
| ~ spl20_43 ),
inference(resolution,[],[f365,f272]) ).
fof(f1063,plain,
( spl20_111
| ~ spl20_28
| ~ spl20_42 ),
inference(avatar_split_clause,[],[f376,f360,f271,f1061]) ).
fof(f376,plain,
( ! [X2,X0,X1] :
( r2(X0,X1)
| ~ id(X1,sK1(X2))
| ~ id(X0,sK0(X2))
| r1(sK2(X2)) )
| ~ spl20_28
| ~ spl20_42 ),
inference(resolution,[],[f361,f272]) ).
fof(f1059,plain,
( spl20_110
| ~ spl20_28
| ~ spl20_40 ),
inference(avatar_split_clause,[],[f371,f352,f271,f1057]) ).
fof(f371,plain,
( ! [X2,X0,X1] :
( id(X0,sK0(X1))
| ~ r2(X0,X2)
| ~ id(X2,sK1(X1))
| r1(sK2(X1)) )
| ~ spl20_28
| ~ spl20_40 ),
inference(resolution,[],[f353,f272]) ).
fof(f1025,plain,
( spl20_109
| ~ spl20_25
| ~ spl20_43 ),
inference(avatar_split_clause,[],[f379,f364,f234,f1023]) ).
fof(f379,plain,
( ! [X2,X3,X0,X1] :
( r2(X0,X1)
| ~ id(sK13(X2,X3),X1)
| ~ id(sK14(X2,X3),X0) )
| ~ spl20_25
| ~ spl20_43 ),
inference(resolution,[],[f365,f235]) ).
fof(f1021,plain,
( spl20_108
| ~ spl20_25
| ~ spl20_42 ),
inference(avatar_split_clause,[],[f374,f360,f234,f1019]) ).
fof(f374,plain,
( ! [X2,X3,X0,X1] :
( r2(X0,X1)
| ~ id(X1,sK13(X2,X3))
| ~ id(X0,sK14(X2,X3)) )
| ~ spl20_25
| ~ spl20_42 ),
inference(resolution,[],[f361,f235]) ).
fof(f1017,plain,
( spl20_107
| ~ spl20_25
| ~ spl20_40 ),
inference(avatar_split_clause,[],[f369,f352,f234,f1015]) ).
fof(f369,plain,
( ! [X2,X3,X0,X1] :
( id(X0,sK14(X1,X2))
| ~ r2(X0,X3)
| ~ id(X3,sK13(X1,X2)) )
| ~ spl20_25
| ~ spl20_40 ),
inference(resolution,[],[f353,f235]) ).
fof(f1013,plain,
( spl20_106
| ~ spl20_25
| ~ spl20_93 ),
inference(avatar_split_clause,[],[f934,f805,f234,f1011]) ).
fof(f1011,plain,
( spl20_106
<=> ! [X0,X1] :
( ~ r1(X0)
| ~ r1(sK14(X1,X0))
| ~ r1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_106])]) ).
fof(f805,plain,
( spl20_93
<=> ! [X2,X0,X1] :
( ~ r1(X0)
| ~ r1(X1)
| ~ r2(X0,sK13(X2,X1))
| ~ r1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_93])]) ).
fof(f934,plain,
( ! [X0,X1] :
( ~ r1(X0)
| ~ r1(sK14(X1,X0))
| ~ r1(X1) )
| ~ spl20_25
| ~ spl20_93 ),
inference(resolution,[],[f806,f235]) ).
fof(f806,plain,
( ! [X2,X0,X1] :
( ~ r2(X0,sK13(X2,X1))
| ~ r1(X1)
| ~ r1(X0)
| ~ r1(X2) )
| ~ spl20_93 ),
inference(avatar_component_clause,[],[f805]) ).
fof(f998,plain,
( spl20_105
| ~ spl20_37
| ~ spl20_39 ),
inference(avatar_split_clause,[],[f349,f324,f316,f996]) ).
fof(f349,plain,
( ! [X2,X3,X0,X1] :
( id(X0,sK18(X1,X2))
| ~ id(X0,X3)
| ~ r3(X1,X2,X3) )
| ~ spl20_37
| ~ spl20_39 ),
inference(resolution,[],[f325,f317]) ).
fof(f994,plain,
( spl20_104
| ~ spl20_34
| ~ spl20_39 ),
inference(avatar_split_clause,[],[f348,f324,f304,f992]) ).
fof(f348,plain,
( ! [X2,X3,X0,X1] :
( id(X0,sK17(X1,X2))
| ~ id(X0,X3)
| ~ r4(X1,X2,X3) )
| ~ spl20_34
| ~ spl20_39 ),
inference(resolution,[],[f325,f305]) ).
fof(f915,plain,
( spl20_103
| ~ spl20_9
| ~ spl20_43 ),
inference(avatar_split_clause,[],[f378,f364,f160,f913]) ).
fof(f378,plain,
( ! [X2,X3,X0,X1] :
( r2(X0,X1)
| ~ id(sK16(X2,X3),X1)
| ~ id(X3,X0) )
| ~ spl20_9
| ~ spl20_43 ),
inference(resolution,[],[f365,f161]) ).
fof(f911,plain,
( spl20_102
| ~ spl20_8
| ~ spl20_43 ),
inference(avatar_split_clause,[],[f377,f364,f156,f909]) ).
fof(f377,plain,
( ! [X2,X3,X0,X1] :
( r2(X0,X1)
| ~ id(sK12(X2,X3),X1)
| ~ id(X3,X0) )
| ~ spl20_8
| ~ spl20_43 ),
inference(resolution,[],[f365,f157]) ).
fof(f907,plain,
( spl20_101
| ~ spl20_9
| ~ spl20_42 ),
inference(avatar_split_clause,[],[f373,f360,f160,f905]) ).
fof(f373,plain,
( ! [X2,X3,X0,X1] :
( r2(X0,X1)
| ~ id(X1,sK16(X2,X3))
| ~ id(X0,X3) )
| ~ spl20_9
| ~ spl20_42 ),
inference(resolution,[],[f361,f161]) ).
fof(f903,plain,
( spl20_100
| ~ spl20_8
| ~ spl20_42 ),
inference(avatar_split_clause,[],[f372,f360,f156,f901]) ).
fof(f372,plain,
( ! [X2,X3,X0,X1] :
( r2(X0,X1)
| ~ id(X1,sK12(X2,X3))
| ~ id(X0,X3) )
| ~ spl20_8
| ~ spl20_42 ),
inference(resolution,[],[f361,f157]) ).
fof(f899,plain,
( spl20_99
| ~ spl20_9
| ~ spl20_40 ),
inference(avatar_split_clause,[],[f368,f352,f160,f897]) ).
fof(f368,plain,
( ! [X2,X3,X0,X1] :
( id(X0,X1)
| ~ r2(X0,X2)
| ~ id(X2,sK16(X3,X1)) )
| ~ spl20_9
| ~ spl20_40 ),
inference(resolution,[],[f353,f161]) ).
fof(f895,plain,
( spl20_98
| ~ spl20_8
| ~ spl20_40 ),
inference(avatar_split_clause,[],[f367,f352,f156,f893]) ).
fof(f367,plain,
( ! [X2,X3,X0,X1] :
( id(X0,X1)
| ~ r2(X0,X2)
| ~ id(X2,sK12(X3,X1)) )
| ~ spl20_8
| ~ spl20_40 ),
inference(resolution,[],[f353,f157]) ).
fof(f891,plain,
( spl20_97
| ~ spl20_27
| ~ spl20_39 ),
inference(avatar_split_clause,[],[f343,f324,f267,f889]) ).
fof(f343,plain,
( ! [X0,X1] :
( id(X0,sK2(X1))
| ~ id(X0,X1)
| id(X1,sK1(X1)) )
| ~ spl20_27
| ~ spl20_39 ),
inference(resolution,[],[f325,f268]) ).
fof(f819,plain,
( spl20_96
| ~ spl20_24
| ~ spl20_39 ),
inference(avatar_split_clause,[],[f347,f324,f230,f817]) ).
fof(f347,plain,
( ! [X2,X0,X1] :
( id(X0,sK13(X1,X2))
| ~ id(X0,sK15(X1,X2)) )
| ~ spl20_24
| ~ spl20_39 ),
inference(resolution,[],[f325,f231]) ).
fof(f815,plain,
( spl20_95
| ~ spl20_23
| ~ spl20_39 ),
inference(avatar_split_clause,[],[f346,f324,f226,f813]) ).
fof(f346,plain,
( ! [X2,X0,X1] :
( id(X0,sK9(X1,X2))
| ~ id(X0,sK11(X1,X2)) )
| ~ spl20_23
| ~ spl20_39 ),
inference(resolution,[],[f325,f227]) ).
fof(f811,plain,
( spl20_94
| ~ spl20_19
| ~ spl20_39 ),
inference(avatar_split_clause,[],[f345,f324,f210,f809]) ).
fof(f345,plain,
( ! [X2,X0,X1] :
( id(X0,sK8(X1))
| ~ id(X0,X2)
| ~ r2(X1,X2) )
| ~ spl20_19
| ~ spl20_39 ),
inference(resolution,[],[f325,f211]) ).
fof(f807,plain,
( spl20_93
| ~ spl20_24
| ~ spl20_74 ),
inference(avatar_split_clause,[],[f662,f619,f230,f805]) ).
fof(f662,plain,
( ! [X2,X0,X1] :
( ~ r1(X0)
| ~ r1(X1)
| ~ r2(X0,sK13(X2,X1))
| ~ r1(X2) )
| ~ spl20_24
| ~ spl20_74 ),
inference(resolution,[],[f620,f231]) ).
fof(f803,plain,
( spl20_92
| ~ spl20_18
| ~ spl20_39 ),
inference(avatar_split_clause,[],[f342,f324,f206,f801]) ).
fof(f342,plain,
( ! [X0,X1] :
( id(X0,sK1(X1))
| ~ id(X0,X1)
| r1(sK2(X1)) )
| ~ spl20_18
| ~ spl20_39 ),
inference(resolution,[],[f325,f207]) ).
fof(f799,plain,
( spl20_91
| ~ spl20_21
| ~ spl20_37 ),
inference(avatar_split_clause,[],[f335,f316,f218,f797]) ).
fof(f335,plain,
( ! [X2,X0,X1] :
( ~ r3(X0,X1,X2)
| ~ r1(sK18(X0,X1))
| r1(X2) )
| ~ spl20_21
| ~ spl20_37 ),
inference(resolution,[],[f317,f219]) ).
fof(f795,plain,
( spl20_90
| ~ spl20_22
| ~ spl20_37 ),
inference(avatar_split_clause,[],[f334,f316,f222,f793]) ).
fof(f334,plain,
( ! [X2,X0,X1] :
( ~ r3(X0,X1,X2)
| ~ r1(X2)
| r1(sK18(X0,X1)) )
| ~ spl20_22
| ~ spl20_37 ),
inference(resolution,[],[f317,f223]) ).
fof(f791,plain,
( spl20_89
| ~ spl20_21
| ~ spl20_34 ),
inference(avatar_split_clause,[],[f329,f304,f218,f789]) ).
fof(f329,plain,
( ! [X2,X0,X1] :
( ~ r4(X0,X1,X2)
| ~ r1(sK17(X0,X1))
| r1(X2) )
| ~ spl20_21
| ~ spl20_34 ),
inference(resolution,[],[f305,f219]) ).
fof(f787,plain,
( spl20_88
| ~ spl20_22
| ~ spl20_34 ),
inference(avatar_split_clause,[],[f328,f304,f222,f785]) ).
fof(f328,plain,
( ! [X2,X0,X1] :
( ~ r4(X0,X1,X2)
| ~ r1(X2)
| r1(sK17(X0,X1)) )
| ~ spl20_22
| ~ spl20_34 ),
inference(resolution,[],[f305,f223]) ).
fof(f783,plain,
( spl20_87
| ~ spl20_29
| ~ spl20_33 ),
inference(avatar_split_clause,[],[f327,f300,f275,f781]) ).
fof(f327,plain,
( ! [X0,X1] :
( id(X0,sK2(X0))
| ~ r1(X1)
| ~ id(X1,sK1(X0)) )
| ~ spl20_29
| ~ spl20_33 ),
inference(resolution,[],[f301,f276]) ).
fof(f731,plain,
( spl20_86
| ~ spl20_1
| ~ spl20_74 ),
inference(avatar_split_clause,[],[f657,f619,f128,f729]) ).
fof(f729,plain,
( spl20_86
<=> ! [X2,X0,X1] :
( ~ r1(X0)
| ~ r1(X1)
| ~ r2(X0,sK15(X2,X1))
| ~ r1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_86])]) ).
fof(f657,plain,
( ! [X2,X0,X1] :
( ~ r1(X0)
| ~ r1(X1)
| ~ r2(X0,sK15(X2,X1))
| ~ r1(X2) )
| ~ spl20_1
| ~ spl20_74 ),
inference(resolution,[],[f620,f129]) ).
fof(f727,plain,
( spl20_85
| ~ spl20_15
| ~ spl20_37 ),
inference(avatar_split_clause,[],[f336,f316,f188,f725]) ).
fof(f336,plain,
( ! [X2,X0,X1] :
( ~ r3(X0,X1,X2)
| id(sK18(X0,X1),X2) )
| ~ spl20_15
| ~ spl20_37 ),
inference(resolution,[],[f317,f189]) ).
fof(f723,plain,
( spl20_84
| ~ spl20_15
| ~ spl20_34 ),
inference(avatar_split_clause,[],[f330,f304,f188,f721]) ).
fof(f330,plain,
( ! [X2,X0,X1] :
( ~ r4(X0,X1,X2)
| id(sK17(X0,X1),X2) )
| ~ spl20_15
| ~ spl20_34 ),
inference(resolution,[],[f305,f189]) ).
fof(f719,plain,
( spl20_83
| ~ spl20_28
| ~ spl20_29 ),
inference(avatar_split_clause,[],[f296,f275,f271,f717]) ).
fof(f296,plain,
( ! [X0,X1] :
( ~ r1(X0)
| ~ id(X0,sK1(X1))
| r1(sK2(X1)) )
| ~ spl20_28
| ~ spl20_29 ),
inference(resolution,[],[f276,f272]) ).
fof(f715,plain,
( spl20_82
| ~ spl20_21
| ~ spl20_27 ),
inference(avatar_split_clause,[],[f291,f267,f218,f713]) ).
fof(f291,plain,
( ! [X0] :
( id(X0,sK1(X0))
| ~ r1(sK2(X0))
| r1(X0) )
| ~ spl20_21
| ~ spl20_27 ),
inference(resolution,[],[f268,f219]) ).
fof(f649,plain,
( spl20_81
| ~ spl20_10
| ~ spl20_39 ),
inference(avatar_split_clause,[],[f350,f324,f164,f647]) ).
fof(f350,plain,
( ! [X0,X1] :
( id(X0,sK19)
| ~ id(X0,X1)
| ~ r1(X1) )
| ~ spl20_10
| ~ spl20_39 ),
inference(resolution,[],[f325,f165]) ).
fof(f645,plain,
( spl20_80
| ~ spl20_7
| ~ spl20_39 ),
inference(avatar_split_clause,[],[f344,f324,f152,f643]) ).
fof(f344,plain,
( ! [X0,X1] :
( id(X0,sK6(X1))
| ~ id(X0,sK5(X1)) )
| ~ spl20_7
| ~ spl20_39 ),
inference(resolution,[],[f325,f153]) ).
fof(f641,plain,
( spl20_79
| ~ spl20_15
| ~ spl20_27 ),
inference(avatar_split_clause,[],[f292,f267,f188,f639]) ).
fof(f292,plain,
( ! [X0] :
( id(X0,sK1(X0))
| id(sK2(X0),X0) )
| ~ spl20_15
| ~ spl20_27 ),
inference(resolution,[],[f268,f189]) ).
fof(f637,plain,
( spl20_78
| ~ spl20_21
| ~ spl20_23 ),
inference(avatar_split_clause,[],[f261,f226,f218,f635]) ).
fof(f635,plain,
( spl20_78
<=> ! [X0,X1] :
( ~ r1(sK9(X0,X1))
| r1(sK11(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_78])]) ).
fof(f261,plain,
( ! [X0,X1] :
( ~ r1(sK9(X0,X1))
| r1(sK11(X0,X1)) )
| ~ spl20_21
| ~ spl20_23 ),
inference(resolution,[],[f227,f219]) ).
fof(f633,plain,
( spl20_77
| ~ spl20_22
| ~ spl20_23 ),
inference(avatar_split_clause,[],[f260,f226,f222,f631]) ).
fof(f631,plain,
( spl20_77
<=> ! [X0,X1] :
( ~ r1(sK11(X0,X1))
| r1(sK9(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_77])]) ).
fof(f260,plain,
( ! [X0,X1] :
( ~ r1(sK11(X0,X1))
| r1(sK9(X0,X1)) )
| ~ spl20_22
| ~ spl20_23 ),
inference(resolution,[],[f227,f223]) ).
fof(f629,plain,
( spl20_76
| ~ spl20_19
| ~ spl20_22 ),
inference(avatar_split_clause,[],[f257,f222,f210,f627]) ).
fof(f627,plain,
( spl20_76
<=> ! [X0,X1] :
( ~ r1(X0)
| r1(sK8(X1))
| ~ r2(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_76])]) ).
fof(f257,plain,
( ! [X0,X1] :
( ~ r1(X0)
| r1(sK8(X1))
| ~ r2(X1,X0) )
| ~ spl20_19
| ~ spl20_22 ),
inference(resolution,[],[f223,f211]) ).
fof(f625,plain,
( spl20_75
| ~ spl20_18
| ~ spl20_22 ),
inference(avatar_split_clause,[],[f255,f222,f206,f623]) ).
fof(f623,plain,
( spl20_75
<=> ! [X0] :
( ~ r1(X0)
| r1(sK1(X0))
| r1(sK2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_75])]) ).
fof(f255,plain,
( ! [X0] :
( ~ r1(X0)
| r1(sK1(X0))
| r1(sK2(X0)) )
| ~ spl20_18
| ~ spl20_22 ),
inference(resolution,[],[f223,f207]) ).
fof(f621,plain,
( spl20_74
| ~ spl20_9
| ~ spl20_51 ),
inference(avatar_split_clause,[],[f456,f441,f160,f619]) ).
fof(f441,plain,
( spl20_51
<=> ! [X4,X0,X3,X2,X1] :
( ~ r1(X0)
| ~ id(sK15(X1,X2),X3)
| ~ r2(X4,sK16(X1,X2))
| ~ r1(X4)
| ~ r2(X0,X3)
| ~ r1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_51])]) ).
fof(f456,plain,
( ! [X2,X3,X0,X1] :
( ~ id(sK15(X0,X1),X2)
| ~ r1(X3)
| ~ r1(X1)
| ~ r2(X3,X2)
| ~ r1(X0) )
| ~ spl20_9
| ~ spl20_51 ),
inference(resolution,[],[f442,f161]) ).
fof(f442,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r2(X4,sK16(X1,X2))
| ~ id(sK15(X1,X2),X3)
| ~ r1(X0)
| ~ r1(X4)
| ~ r2(X0,X3)
| ~ r1(X1) )
| ~ spl20_51 ),
inference(avatar_component_clause,[],[f441]) ).
fof(f617,plain,
( spl20_73
| ~ spl20_19
| ~ spl20_21 ),
inference(avatar_split_clause,[],[f251,f218,f210,f615]) ).
fof(f615,plain,
( spl20_73
<=> ! [X0,X1] :
( ~ r1(sK8(X0))
| r1(X1)
| ~ r2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_73])]) ).
fof(f251,plain,
( ! [X0,X1] :
( ~ r1(sK8(X0))
| r1(X1)
| ~ r2(X0,X1) )
| ~ spl20_19
| ~ spl20_21 ),
inference(resolution,[],[f219,f211]) ).
fof(f613,plain,
( spl20_72
| ~ spl20_18
| ~ spl20_21 ),
inference(avatar_split_clause,[],[f249,f218,f206,f611]) ).
fof(f611,plain,
( spl20_72
<=> ! [X0] :
( ~ r1(sK1(X0))
| r1(X0)
| r1(sK2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_72])]) ).
fof(f249,plain,
( ! [X0] :
( ~ r1(sK1(X0))
| r1(X0)
| r1(sK2(X0)) )
| ~ spl20_18
| ~ spl20_21 ),
inference(resolution,[],[f219,f207]) ).
fof(f557,plain,
( spl20_71
| ~ spl20_5
| ~ spl20_39 ),
inference(avatar_split_clause,[],[f341,f324,f144,f555]) ).
fof(f341,plain,
( ! [X0,X1] :
( id(X0,X1)
| ~ id(X0,sK3(X1)) )
| ~ spl20_5
| ~ spl20_39 ),
inference(resolution,[],[f325,f145]) ).
fof(f553,plain,
( spl20_70
| ~ spl20_5
| ~ spl20_38 ),
inference(avatar_split_clause,[],[f339,f320,f144,f551]) ).
fof(f339,plain,
( ! [X0,X1] : r3(X0,X1,sK3(sK18(X0,X1)))
| ~ spl20_5
| ~ spl20_38 ),
inference(resolution,[],[f321,f145]) ).
fof(f549,plain,
( spl20_69
| ~ spl20_5
| ~ spl20_35 ),
inference(avatar_split_clause,[],[f333,f308,f144,f547]) ).
fof(f547,plain,
( spl20_69
<=> ! [X0,X1] : r4(X0,X1,sK3(sK17(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_69])]) ).
fof(f333,plain,
( ! [X0,X1] : r4(X0,X1,sK3(sK17(X0,X1)))
| ~ spl20_5
| ~ spl20_35 ),
inference(resolution,[],[f309,f145]) ).
fof(f545,plain,
( spl20_68
| ~ spl20_25
| ~ spl20_29 ),
inference(avatar_split_clause,[],[f295,f275,f234,f543]) ).
fof(f295,plain,
( ! [X2,X0,X1] :
( ~ r1(X0)
| ~ id(X0,sK13(X1,X2)) )
| ~ spl20_25
| ~ spl20_29 ),
inference(resolution,[],[f276,f235]) ).
fof(f541,plain,
( spl20_67
| ~ spl20_9
| ~ spl20_29 ),
inference(avatar_split_clause,[],[f294,f275,f160,f539]) ).
fof(f294,plain,
( ! [X2,X0,X1] :
( ~ r1(X0)
| ~ id(X0,sK16(X1,X2)) )
| ~ spl20_9
| ~ spl20_29 ),
inference(resolution,[],[f276,f161]) ).
fof(f537,plain,
( spl20_66
| ~ spl20_8
| ~ spl20_29 ),
inference(avatar_split_clause,[],[f293,f275,f156,f535]) ).
fof(f293,plain,
( ! [X2,X0,X1] :
( ~ r1(X0)
| ~ id(X0,sK12(X1,X2)) )
| ~ spl20_8
| ~ spl20_29 ),
inference(resolution,[],[f276,f157]) ).
fof(f533,plain,
( spl20_65
| ~ spl20_15
| ~ spl20_24 ),
inference(avatar_split_clause,[],[f265,f230,f188,f531]) ).
fof(f265,plain,
( ! [X0,X1] : id(sK13(X0,X1),sK15(X0,X1))
| ~ spl20_15
| ~ spl20_24 ),
inference(resolution,[],[f231,f189]) ).
fof(f529,plain,
( spl20_64
| ~ spl20_15
| ~ spl20_23 ),
inference(avatar_split_clause,[],[f262,f226,f188,f527]) ).
fof(f262,plain,
( ! [X0,X1] : id(sK9(X0,X1),sK11(X0,X1))
| ~ spl20_15
| ~ spl20_23 ),
inference(resolution,[],[f227,f189]) ).
fof(f525,plain,
( spl20_63
| ~ spl20_4
| ~ spl20_58 ),
inference(avatar_split_clause,[],[f508,f497,f140,f523]) ).
fof(f497,plain,
( spl20_58
<=> ! [X0] :
( ~ r1(sK6(X0))
| r1(sK5(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_58])]) ).
fof(f508,plain,
( ! [X0] : r1(sK5(X0))
| ~ spl20_4
| ~ spl20_58 ),
inference(resolution,[],[f498,f141]) ).
fof(f498,plain,
( ! [X0] :
( ~ r1(sK6(X0))
| r1(sK5(X0)) )
| ~ spl20_58 ),
inference(avatar_component_clause,[],[f497]) ).
fof(f521,plain,
( spl20_62
| ~ spl20_15
| ~ spl20_19 ),
inference(avatar_split_clause,[],[f238,f210,f188,f519]) ).
fof(f238,plain,
( ! [X0,X1] :
( ~ r2(X0,X1)
| id(sK8(X0),X1) )
| ~ spl20_15
| ~ spl20_19 ),
inference(resolution,[],[f211,f189]) ).
fof(f517,plain,
( spl20_61
| ~ spl20_15
| ~ spl20_18 ),
inference(avatar_split_clause,[],[f237,f206,f188,f515]) ).
fof(f237,plain,
( ! [X0] :
( r1(sK2(X0))
| id(sK1(X0),X0) )
| ~ spl20_15
| ~ spl20_18 ),
inference(resolution,[],[f207,f189]) ).
fof(f507,plain,
( spl20_60
| ~ spl20_1
| ~ spl20_38 ),
inference(avatar_split_clause,[],[f338,f320,f128,f505]) ).
fof(f338,plain,
( ! [X0,X1] : r3(X0,X1,sK18(X0,X1))
| ~ spl20_1
| ~ spl20_38 ),
inference(resolution,[],[f321,f129]) ).
fof(f503,plain,
( spl20_59
| ~ spl20_1
| ~ spl20_35 ),
inference(avatar_split_clause,[],[f332,f308,f128,f501]) ).
fof(f501,plain,
( spl20_59
<=> ! [X0,X1] : r4(X0,X1,sK17(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_59])]) ).
fof(f332,plain,
( ! [X0,X1] : r4(X0,X1,sK17(X0,X1))
| ~ spl20_1
| ~ spl20_35 ),
inference(resolution,[],[f309,f129]) ).
fof(f499,plain,
( spl20_58
| ~ spl20_7
| ~ spl20_21 ),
inference(avatar_split_clause,[],[f250,f218,f152,f497]) ).
fof(f250,plain,
( ! [X0] :
( ~ r1(sK6(X0))
| r1(sK5(X0)) )
| ~ spl20_7
| ~ spl20_21 ),
inference(resolution,[],[f219,f153]) ).
fof(f476,plain,
( spl20_57
| ~ spl20_5
| ~ spl20_22 ),
inference(avatar_split_clause,[],[f254,f222,f144,f474]) ).
fof(f474,plain,
( spl20_57
<=> ! [X0] :
( ~ r1(sK3(X0))
| r1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_57])]) ).
fof(f254,plain,
( ! [X0] :
( ~ r1(sK3(X0))
| r1(X0) )
| ~ spl20_5
| ~ spl20_22 ),
inference(resolution,[],[f223,f145]) ).
fof(f472,plain,
( spl20_56
| ~ spl20_5
| ~ spl20_21 ),
inference(avatar_split_clause,[],[f248,f218,f144,f470]) ).
fof(f248,plain,
( ! [X0] :
( ~ r1(X0)
| r1(sK3(X0)) )
| ~ spl20_5
| ~ spl20_21 ),
inference(resolution,[],[f219,f145]) ).
fof(f468,plain,
( spl20_55
| ~ spl20_5
| ~ spl20_20 ),
inference(avatar_split_clause,[],[f241,f214,f144,f466]) ).
fof(f241,plain,
( ! [X0] : r2(X0,sK3(sK8(X0)))
| ~ spl20_5
| ~ spl20_20 ),
inference(resolution,[],[f215,f145]) ).
fof(f464,plain,
( spl20_54
| ~ spl20_10
| ~ spl20_15 ),
inference(avatar_split_clause,[],[f203,f188,f164,f462]) ).
fof(f203,plain,
( ! [X0] :
( id(sK19,X0)
| ~ r1(X0) )
| ~ spl20_10
| ~ spl20_15 ),
inference(resolution,[],[f189,f165]) ).
fof(f460,plain,
( spl20_53
| ~ spl20_7
| ~ spl20_15 ),
inference(avatar_split_clause,[],[f202,f188,f152,f458]) ).
fof(f202,plain,
( ! [X0] : id(sK6(X0),sK5(X0))
| ~ spl20_7
| ~ spl20_15 ),
inference(resolution,[],[f189,f153]) ).
fof(f447,plain,
( spl20_52
| ~ spl20_1
| ~ spl20_49 ),
inference(avatar_split_clause,[],[f428,f425,f128,f445]) ).
fof(f445,plain,
( spl20_52
<=> ! [X0,X3,X2,X1] :
( ~ r1(X0)
| ~ r2(X1,X2)
| ~ r1(X1)
| ~ r2(X0,sK14(X3,X2))
| ~ r1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_52])]) ).
fof(f428,plain,
( ! [X2,X3,X0,X1] :
( ~ r1(X0)
| ~ r2(X1,X2)
| ~ r1(X1)
| ~ r2(X0,sK14(X3,X2))
| ~ r1(X3) )
| ~ spl20_1
| ~ spl20_49 ),
inference(resolution,[],[f426,f129]) ).
fof(f443,plain,
( spl20_51
| ~ spl20_6
| ~ spl20_32 ),
inference(avatar_split_clause,[],[f298,f287,f148,f441]) ).
fof(f298,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r1(X0)
| ~ id(sK15(X1,X2),X3)
| ~ r2(X4,sK16(X1,X2))
| ~ r1(X4)
| ~ r2(X0,X3)
| ~ r1(X1) )
| ~ spl20_6
| ~ spl20_32 ),
inference(resolution,[],[f288,f149]) ).
fof(f439,plain,
( spl20_50
| ~ spl20_6
| ~ spl20_31 ),
inference(avatar_split_clause,[],[f297,f283,f148,f437]) ).
fof(f297,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r1(X0)
| ~ id(sK9(X1,X2),X3)
| ~ r2(X4,X1)
| ~ r1(X4)
| ~ r2(X0,X3)
| ~ r1(sK10(X1,X2)) )
| ~ spl20_6
| ~ spl20_31 ),
inference(resolution,[],[f284,f149]) ).
fof(f427,plain,
( spl20_49
| ~ spl20_6
| ~ spl20_17 ),
inference(avatar_split_clause,[],[f204,f196,f148,f425]) ).
fof(f204,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r1(X0)
| ~ id(sK14(X1,X2),X3)
| ~ r2(X4,X2)
| ~ r1(X4)
| ~ r2(X0,X3)
| ~ r1(X1) )
| ~ spl20_6
| ~ spl20_17 ),
inference(resolution,[],[f197,f149]) ).
fof(f423,plain,
( spl20_48
| ~ spl20_6
| ~ spl20_12 ),
inference(avatar_split_clause,[],[f199,f175,f148,f421]) ).
fof(f421,plain,
( spl20_48
<=> ! [X0,X3,X2,X1] :
( ~ r1(X0)
| ~ id(sK3(X1),X2)
| ~ r2(X3,sK4(X1))
| ~ r1(X3)
| ~ r2(X0,X2)
| ~ r1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_48])]) ).
fof(f199,plain,
( ! [X2,X3,X0,X1] :
( ~ r1(X0)
| ~ id(sK3(X1),X2)
| ~ r2(X3,sK4(X1))
| ~ r1(X3)
| ~ r2(X0,X2)
| ~ r1(X1) )
| ~ spl20_6
| ~ spl20_12 ),
inference(resolution,[],[f176,f149]) ).
fof(f397,plain,
spl20_47,
inference(avatar_split_clause,[],[f121,f395]) ).
fof(f121,plain,
! [X2,X3,X0,X1,X4,X5] :
( r3(X3,X4,X5)
| ~ r3(X0,X1,X2)
| ~ id(X2,X5)
| ~ id(X1,X4)
| ~ id(X0,X3) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( r3(X3,X4,X5)
& r3(X0,X1,X2) )
| ( ~ r3(X3,X4,X5)
& ~ r3(X0,X1,X2) )
| ~ id(X2,X5)
| ~ id(X1,X4)
| ~ id(X0,X3) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X25,X26,X27,X28,X29,X30] :
( ( r3(X28,X29,X30)
& r3(X25,X26,X27) )
| ( ~ r3(X28,X29,X30)
& ~ r3(X25,X26,X27) )
| ~ id(X27,X30)
| ~ id(X26,X29)
| ~ id(X25,X28) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f393,plain,
spl20_46,
inference(avatar_split_clause,[],[f120,f391]) ).
fof(f120,plain,
! [X2,X3,X0,X1,X4,X5] :
( r3(X0,X1,X2)
| ~ r3(X3,X4,X5)
| ~ id(X2,X5)
| ~ id(X1,X4)
| ~ id(X0,X3) ),
inference(cnf_transformation,[],[f38]) ).
fof(f389,plain,
spl20_45,
inference(avatar_split_clause,[],[f117,f387]) ).
fof(f117,plain,
! [X2,X3,X0,X1,X4,X5] :
( r4(X3,X4,X5)
| ~ r4(X0,X1,X2)
| ~ id(X2,X5)
| ~ id(X1,X4)
| ~ id(X0,X3) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( r4(X3,X4,X5)
& r4(X0,X1,X2) )
| ( ~ r4(X3,X4,X5)
& ~ r4(X0,X1,X2) )
| ~ id(X2,X5)
| ~ id(X1,X4)
| ~ id(X0,X3) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X31,X32,X33,X34,X35,X36] :
( ( r4(X34,X35,X36)
& r4(X31,X32,X33) )
| ( ~ r4(X34,X35,X36)
& ~ r4(X31,X32,X33) )
| ~ id(X33,X36)
| ~ id(X32,X35)
| ~ id(X31,X34) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f385,plain,
spl20_44,
inference(avatar_split_clause,[],[f116,f383]) ).
fof(f116,plain,
! [X2,X3,X0,X1,X4,X5] :
( r4(X0,X1,X2)
| ~ r4(X3,X4,X5)
| ~ id(X2,X5)
| ~ id(X1,X4)
| ~ id(X0,X3) ),
inference(cnf_transformation,[],[f37]) ).
fof(f366,plain,
spl20_43,
inference(avatar_split_clause,[],[f113,f364]) ).
fof(f113,plain,
! [X2,X3,X0,X1] :
( r2(X2,X3)
| ~ r2(X0,X1)
| ~ id(X1,X3)
| ~ id(X0,X2) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1,X2,X3] :
( ( r2(X2,X3)
& r2(X0,X1) )
| ( ~ r2(X2,X3)
& ~ r2(X0,X1) )
| ~ id(X1,X3)
| ~ id(X0,X2) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X21,X22,X23,X24] :
( ( r2(X23,X24)
& r2(X21,X22) )
| ( ~ r2(X23,X24)
& ~ r2(X21,X22) )
| ~ id(X22,X24)
| ~ id(X21,X23) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f362,plain,
spl20_42,
inference(avatar_split_clause,[],[f112,f360]) ).
fof(f112,plain,
! [X2,X3,X0,X1] :
( r2(X0,X1)
| ~ r2(X2,X3)
| ~ id(X1,X3)
| ~ id(X0,X2) ),
inference(cnf_transformation,[],[f36]) ).
fof(f358,plain,
( spl20_41
| ~ spl20_1
| ~ spl20_20 ),
inference(avatar_split_clause,[],[f240,f214,f128,f356]) ).
fof(f240,plain,
( ! [X0] : r2(X0,sK8(X0))
| ~ spl20_1
| ~ spl20_20 ),
inference(resolution,[],[f215,f129]) ).
fof(f354,plain,
spl20_40,
inference(avatar_split_clause,[],[f91,f352]) ).
fof(f91,plain,
! [X2,X3,X0,X1] :
( id(X0,X1)
| ~ r2(X1,X2)
| ~ r2(X0,X3)
| ~ id(X3,X2) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1] :
( id(X0,X1)
| ! [X2] :
( ~ r2(X1,X2)
| ! [X3] :
( ~ r2(X0,X3)
| ~ id(X3,X2) ) ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X49,X50] :
( id(X49,X50)
| ! [X51] :
( ~ r2(X50,X51)
| ! [X52] :
( ~ r2(X49,X52)
| ~ id(X52,X51) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f326,plain,
spl20_39,
inference(avatar_split_clause,[],[f110,f324]) ).
fof(f110,plain,
! [X2,X0,X1] :
( ~ id(X1,X2)
| id(X0,X2)
| ~ id(X0,X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1,X2] :
( ~ id(X1,X2)
| id(X0,X2)
| ~ id(X0,X1) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X16,X17,X18] :
( ~ id(X17,X18)
| id(X16,X18)
| ~ id(X16,X17) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f322,plain,
spl20_38,
inference(avatar_split_clause,[],[f109,f320]) ).
fof(f109,plain,
! [X3,X0,X1] :
( ~ id(X3,sK18(X0,X1))
| r3(X0,X1,X3) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0,X1,X3] :
( ( ~ id(X3,sK18(X0,X1))
& ~ r3(X0,X1,X3) )
| ( r3(X0,X1,X3)
& id(X3,sK18(X0,X1)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f34,f64]) ).
fof(f64,plain,
! [X0,X1] :
( ? [X2] :
! [X3] :
( ( ~ id(X3,X2)
& ~ r3(X0,X1,X3) )
| ( r3(X0,X1,X3)
& id(X3,X2) ) )
=> ! [X3] :
( ( ~ id(X3,sK18(X0,X1))
& ~ r3(X0,X1,X3) )
| ( r3(X0,X1,X3)
& id(X3,sK18(X0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f34,plain,
! [X0,X1] :
? [X2] :
! [X3] :
( ( ~ id(X3,X2)
& ~ r3(X0,X1,X3) )
| ( r3(X0,X1,X3)
& id(X3,X2) ) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X5,X6] :
? [X7] :
! [X8] :
( ( ~ id(X8,X7)
& ~ r3(X5,X6,X8) )
| ( r3(X5,X6,X8)
& id(X8,X7) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f318,plain,
spl20_37,
inference(avatar_split_clause,[],[f106,f316]) ).
fof(f106,plain,
! [X3,X0,X1] :
( ~ r3(X0,X1,X3)
| id(X3,sK18(X0,X1)) ),
inference(cnf_transformation,[],[f65]) ).
fof(f314,plain,
( spl20_36
| ~ spl20_5
| ~ spl20_15 ),
inference(avatar_split_clause,[],[f201,f188,f144,f312]) ).
fof(f201,plain,
( ! [X0] : id(X0,sK3(X0))
| ~ spl20_5
| ~ spl20_15 ),
inference(resolution,[],[f189,f145]) ).
fof(f310,plain,
spl20_35,
inference(avatar_split_clause,[],[f105,f308]) ).
fof(f105,plain,
! [X3,X0,X1] :
( ~ id(X3,sK17(X0,X1))
| r4(X0,X1,X3) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0,X1,X3] :
( ( ~ id(X3,sK17(X0,X1))
& ~ r4(X0,X1,X3) )
| ( r4(X0,X1,X3)
& id(X3,sK17(X0,X1)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f33,f62]) ).
fof(f62,plain,
! [X0,X1] :
( ? [X2] :
! [X3] :
( ( ~ id(X3,X2)
& ~ r4(X0,X1,X3) )
| ( r4(X0,X1,X3)
& id(X3,X2) ) )
=> ! [X3] :
( ( ~ id(X3,sK17(X0,X1))
& ~ r4(X0,X1,X3) )
| ( r4(X0,X1,X3)
& id(X3,sK17(X0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f33,plain,
! [X0,X1] :
? [X2] :
! [X3] :
( ( ~ id(X3,X2)
& ~ r4(X0,X1,X3) )
| ( r4(X0,X1,X3)
& id(X3,X2) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X9,X10] :
? [X11] :
! [X12] :
( ( ~ id(X12,X11)
& ~ r4(X9,X10,X12) )
| ( r4(X9,X10,X12)
& id(X12,X11) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f306,plain,
spl20_34,
inference(avatar_split_clause,[],[f102,f304]) ).
fof(f102,plain,
! [X3,X0,X1] :
( ~ r4(X0,X1,X3)
| id(X3,sK17(X0,X1)) ),
inference(cnf_transformation,[],[f63]) ).
fof(f302,plain,
spl20_33,
inference(avatar_split_clause,[],[f72,f300]) ).
fof(f72,plain,
! [X0] :
( r2(sK0(X0),sK1(X0))
| id(X0,sK2(X0)) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0] :
( ( r2(sK0(X0),sK1(X0))
& id(X0,sK1(X0)) )
| ( r1(sK2(X0))
& id(X0,sK2(X0)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f23,f41,f40]) ).
fof(f40,plain,
! [X0] :
( ? [X1,X2] :
( r2(X1,X2)
& id(X0,X2) )
=> ( r2(sK0(X0),sK1(X0))
& id(X0,sK1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f41,plain,
! [X0] :
( ? [X3] :
( r1(X3)
& id(X0,X3) )
=> ( r1(sK2(X0))
& id(X0,sK2(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
! [X0] :
( ? [X1,X2] :
( r2(X1,X2)
& id(X0,X2) )
| ? [X3] :
( r1(X3)
& id(X0,X3) ) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X60] :
( ? [X62,X63] :
( r2(X62,X63)
& id(X60,X63) )
| ? [X61] :
( r1(X61)
& id(X60,X61) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f289,plain,
spl20_32,
inference(avatar_split_clause,[],[f99,f287]) ).
fof(f99,plain,
! [X0,X1] : r3(X0,sK16(X0,X1),sK15(X0,X1)),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0,X1] :
( r3(X0,X1,sK14(X0,X1))
& r2(sK14(X0,X1),sK13(X0,X1))
& r3(X0,sK16(X0,X1),sK15(X0,X1))
& r2(X1,sK16(X0,X1))
& id(sK15(X0,X1),sK13(X0,X1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14,sK15,sK16])],[f32,f60,f59,f58,f57]) ).
fof(f57,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( r3(X0,X1,X3)
& r2(X3,X2) )
& ? [X4] :
( ? [X5] :
( r3(X0,X5,X4)
& r2(X1,X5) )
& id(X4,X2) ) )
=> ( ? [X3] :
( r3(X0,X1,X3)
& r2(X3,sK13(X0,X1)) )
& ? [X4] :
( ? [X5] :
( r3(X0,X5,X4)
& r2(X1,X5) )
& id(X4,sK13(X0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
! [X0,X1] :
( ? [X3] :
( r3(X0,X1,X3)
& r2(X3,sK13(X0,X1)) )
=> ( r3(X0,X1,sK14(X0,X1))
& r2(sK14(X0,X1),sK13(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f59,plain,
! [X0,X1] :
( ? [X4] :
( ? [X5] :
( r3(X0,X5,X4)
& r2(X1,X5) )
& id(X4,sK13(X0,X1)) )
=> ( ? [X5] :
( r3(X0,X5,sK15(X0,X1))
& r2(X1,X5) )
& id(sK15(X0,X1),sK13(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f60,plain,
! [X0,X1] :
( ? [X5] :
( r3(X0,X5,sK15(X0,X1))
& r2(X1,X5) )
=> ( r3(X0,sK16(X0,X1),sK15(X0,X1))
& r2(X1,sK16(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f32,plain,
! [X0,X1] :
? [X2] :
( ? [X3] :
( r3(X0,X1,X3)
& r2(X3,X2) )
& ? [X4] :
( ? [X5] :
( r3(X0,X5,X4)
& r2(X1,X5) )
& id(X4,X2) ) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X37,X38] :
? [X39] :
( ? [X42] :
( r3(X37,X38,X42)
& r2(X42,X39) )
& ? [X40] :
( ? [X41] :
( r3(X37,X41,X40)
& r2(X38,X41) )
& id(X40,X39) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f285,plain,
spl20_31,
inference(avatar_split_clause,[],[f95,f283]) ).
fof(f95,plain,
! [X0,X1] : r3(sK10(X0,X1),X0,sK9(X0,X1)),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( r4(X0,X1,sK10(X0,X1))
& r3(sK10(X0,X1),X0,sK9(X0,X1))
& r4(X0,sK12(X0,X1),sK11(X0,X1))
& r2(X1,sK12(X0,X1))
& id(sK11(X0,X1),sK9(X0,X1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11,sK12])],[f31,f55,f54,f53,f52]) ).
fof(f52,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( r4(X0,X1,X3)
& r3(X3,X0,X2) )
& ? [X4] :
( ? [X5] :
( r4(X0,X5,X4)
& r2(X1,X5) )
& id(X4,X2) ) )
=> ( ? [X3] :
( r4(X0,X1,X3)
& r3(X3,X0,sK9(X0,X1)) )
& ? [X4] :
( ? [X5] :
( r4(X0,X5,X4)
& r2(X1,X5) )
& id(X4,sK9(X0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
! [X0,X1] :
( ? [X3] :
( r4(X0,X1,X3)
& r3(X3,X0,sK9(X0,X1)) )
=> ( r4(X0,X1,sK10(X0,X1))
& r3(sK10(X0,X1),X0,sK9(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
! [X0,X1] :
( ? [X4] :
( ? [X5] :
( r4(X0,X5,X4)
& r2(X1,X5) )
& id(X4,sK9(X0,X1)) )
=> ( ? [X5] :
( r4(X0,X5,sK11(X0,X1))
& r2(X1,X5) )
& id(sK11(X0,X1),sK9(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
! [X0,X1] :
( ? [X5] :
( r4(X0,X5,sK11(X0,X1))
& r2(X1,X5) )
=> ( r4(X0,sK12(X0,X1),sK11(X0,X1))
& r2(X1,sK12(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f31,plain,
! [X0,X1] :
? [X2] :
( ? [X3] :
( r4(X0,X1,X3)
& r3(X3,X0,X2) )
& ? [X4] :
( ? [X5] :
( r4(X0,X5,X4)
& r2(X1,X5) )
& id(X4,X2) ) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X43,X44] :
? [X45] :
( ? [X48] :
( r4(X43,X44,X48)
& r3(X48,X43,X45) )
& ? [X46] :
( ? [X47] :
( r4(X43,X47,X46)
& r2(X44,X47) )
& id(X46,X45) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f281,plain,
spl20_30,
inference(avatar_split_clause,[],[f94,f279]) ).
fof(f94,plain,
! [X0,X1] : r4(X0,sK12(X0,X1),sK11(X0,X1)),
inference(cnf_transformation,[],[f56]) ).
fof(f277,plain,
spl20_29,
inference(avatar_split_clause,[],[f90,f275]) ).
fof(f90,plain,
! [X2,X0,X1] :
( ~ r2(X0,X1)
| ~ r1(X2)
| ~ id(X2,X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1] :
( ~ r2(X0,X1)
| ! [X2] :
( ~ r1(X2)
| ~ id(X2,X1) ) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X64,X65] :
( ~ r2(X64,X65)
| ! [X66] :
( ~ r1(X66)
| ~ id(X66,X65) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f273,plain,
spl20_28,
inference(avatar_split_clause,[],[f73,f271]) ).
fof(f73,plain,
! [X0] :
( r2(sK0(X0),sK1(X0))
| r1(sK2(X0)) ),
inference(cnf_transformation,[],[f42]) ).
fof(f269,plain,
spl20_27,
inference(avatar_split_clause,[],[f70,f267]) ).
fof(f70,plain,
! [X0] :
( id(X0,sK1(X0))
| id(X0,sK2(X0)) ),
inference(cnf_transformation,[],[f42]) ).
fof(f246,plain,
( spl20_26
| ~ spl20_5
| ~ spl20_11 ),
inference(avatar_split_clause,[],[f173,f168,f144,f243]) ).
fof(f173,plain,
( r1(sK3(sK19))
| ~ spl20_5
| ~ spl20_11 ),
inference(resolution,[],[f169,f145]) ).
fof(f236,plain,
spl20_25,
inference(avatar_split_clause,[],[f100,f234]) ).
fof(f100,plain,
! [X0,X1] : r2(sK14(X0,X1),sK13(X0,X1)),
inference(cnf_transformation,[],[f61]) ).
fof(f232,plain,
spl20_24,
inference(avatar_split_clause,[],[f97,f230]) ).
fof(f97,plain,
! [X0,X1] : id(sK15(X0,X1),sK13(X0,X1)),
inference(cnf_transformation,[],[f61]) ).
fof(f228,plain,
spl20_23,
inference(avatar_split_clause,[],[f92,f226]) ).
fof(f92,plain,
! [X0,X1] : id(sK11(X0,X1),sK9(X0,X1)),
inference(cnf_transformation,[],[f56]) ).
fof(f224,plain,
spl20_22,
inference(avatar_split_clause,[],[f88,f222]) ).
fof(f88,plain,
! [X0,X1] :
( r1(X1)
| ~ r1(X0)
| ~ id(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1] :
( ( r1(X1)
& r1(X0) )
| ( ~ r1(X1)
& ~ r1(X0) )
| ~ id(X0,X1) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X19,X20] :
( ( r1(X20)
& r1(X19) )
| ( ~ r1(X20)
& ~ r1(X19) )
| ~ id(X19,X20) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f220,plain,
spl20_21,
inference(avatar_split_clause,[],[f87,f218]) ).
fof(f87,plain,
! [X0,X1] :
( r1(X0)
| ~ r1(X1)
| ~ id(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f216,plain,
spl20_20,
inference(avatar_split_clause,[],[f84,f214]) ).
fof(f84,plain,
! [X2,X0] :
( ~ id(X2,sK8(X0))
| r2(X0,X2) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X2] :
( ( ~ id(X2,sK8(X0))
& ~ r2(X0,X2) )
| ( r2(X0,X2)
& id(X2,sK8(X0)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f26,f50]) ).
fof(f50,plain,
! [X0] :
( ? [X1] :
! [X2] :
( ( ~ id(X2,X1)
& ~ r2(X0,X2) )
| ( r2(X0,X2)
& id(X2,X1) ) )
=> ! [X2] :
( ( ~ id(X2,sK8(X0))
& ~ r2(X0,X2) )
| ( r2(X0,X2)
& id(X2,sK8(X0)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
! [X0] :
? [X1] :
! [X2] :
( ( ~ id(X2,X1)
& ~ r2(X0,X2) )
| ( r2(X0,X2)
& id(X2,X1) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X2] :
? [X3] :
! [X4] :
( ( ~ id(X4,X3)
& ~ r2(X2,X4) )
| ( r2(X2,X4)
& id(X4,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f212,plain,
spl20_19,
inference(avatar_split_clause,[],[f81,f210]) ).
fof(f81,plain,
! [X2,X0] :
( ~ r2(X0,X2)
| id(X2,sK8(X0)) ),
inference(cnf_transformation,[],[f51]) ).
fof(f208,plain,
spl20_18,
inference(avatar_split_clause,[],[f71,f206]) ).
fof(f71,plain,
! [X0] :
( id(X0,sK1(X0))
| r1(sK2(X0)) ),
inference(cnf_transformation,[],[f42]) ).
fof(f198,plain,
spl20_17,
inference(avatar_split_clause,[],[f101,f196]) ).
fof(f101,plain,
! [X0,X1] : r3(X0,X1,sK14(X0,X1)),
inference(cnf_transformation,[],[f61]) ).
fof(f194,plain,
spl20_16,
inference(avatar_split_clause,[],[f96,f192]) ).
fof(f96,plain,
! [X0,X1] : r4(X0,X1,sK10(X0,X1)),
inference(cnf_transformation,[],[f56]) ).
fof(f190,plain,
spl20_15,
inference(avatar_split_clause,[],[f85,f188]) ).
fof(f85,plain,
! [X0,X1] :
( id(X1,X0)
| ~ id(X0,X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1] :
( id(X1,X0)
| ~ id(X0,X1) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X14,X15] :
( id(X15,X14)
| ~ id(X14,X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f186,plain,
spl20_14,
inference(avatar_split_clause,[],[f78,f184]) ).
fof(f78,plain,
! [X0] : r4(X0,sK7(X0),sK5(X0)),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0] :
( r1(sK6(X0))
& id(sK5(X0),sK6(X0))
& r4(X0,sK7(X0),sK5(X0))
& r1(sK7(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7])],[f25,f48,f47,f46]) ).
fof(f46,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( r1(X2)
& id(X1,X2) )
& ? [X3] :
( r4(X0,X3,X1)
& r1(X3) ) )
=> ( ? [X2] :
( r1(X2)
& id(sK5(X0),X2) )
& ? [X3] :
( r4(X0,X3,sK5(X0))
& r1(X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f47,plain,
! [X0] :
( ? [X2] :
( r1(X2)
& id(sK5(X0),X2) )
=> ( r1(sK6(X0))
& id(sK5(X0),sK6(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
! [X0] :
( ? [X3] :
( r4(X0,X3,sK5(X0))
& r1(X3) )
=> ( r4(X0,sK7(X0),sK5(X0))
& r1(sK7(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
! [X0] :
? [X1] :
( ? [X2] :
( r1(X2)
& id(X1,X2) )
& ? [X3] :
( r4(X0,X3,X1)
& r1(X3) ) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X56] :
? [X57] :
( ? [X59] :
( r1(X59)
& id(X57,X59) )
& ? [X58] :
( r4(X56,X58,X57)
& r1(X58) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f182,plain,
( spl20_13
| ~ spl20_1
| ~ spl20_11 ),
inference(avatar_split_clause,[],[f172,f168,f128,f179]) ).
fof(f172,plain,
( r1(sK19)
| ~ spl20_1
| ~ spl20_11 ),
inference(resolution,[],[f169,f129]) ).
fof(f177,plain,
spl20_12,
inference(avatar_split_clause,[],[f76,f175]) ).
fof(f76,plain,
! [X0] : r3(X0,sK4(X0),sK3(X0)),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0] :
( r3(X0,sK4(X0),sK3(X0))
& r1(sK4(X0))
& id(sK3(X0),X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f24,f44,f43]) ).
fof(f43,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( r3(X0,X2,X1)
& r1(X2) )
& id(X1,X0) )
=> ( ? [X2] :
( r3(X0,X2,sK3(X0))
& r1(X2) )
& id(sK3(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
! [X0] :
( ? [X2] :
( r3(X0,X2,sK3(X0))
& r1(X2) )
=> ( r3(X0,sK4(X0),sK3(X0))
& r1(sK4(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f24,plain,
! [X0] :
? [X1] :
( ? [X2] :
( r3(X0,X2,X1)
& r1(X2) )
& id(X1,X0) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X53] :
? [X54] :
( ? [X55] :
( r3(X53,X55,X54)
& r1(X55) )
& id(X54,X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f170,plain,
spl20_11,
inference(avatar_split_clause,[],[f126,f168]) ).
fof(f126,plain,
! [X1] :
( ~ id(X1,sK19)
| r1(X1) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X1] :
( ( ~ id(X1,sK19)
& ~ r1(X1) )
| ( r1(X1)
& id(X1,sK19) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f1,f66]) ).
fof(f66,plain,
( ? [X0] :
! [X1] :
( ( ~ id(X1,X0)
& ~ r1(X1) )
| ( r1(X1)
& id(X1,X0) ) )
=> ! [X1] :
( ( ~ id(X1,sK19)
& ~ r1(X1) )
| ( r1(X1)
& id(X1,sK19) ) ) ),
introduced(choice_axiom,[]) ).
fof(f1,axiom,
? [X0] :
! [X1] :
( ( ~ id(X1,X0)
& ~ r1(X1) )
| ( r1(X1)
& id(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f166,plain,
spl20_10,
inference(avatar_split_clause,[],[f123,f164]) ).
fof(f123,plain,
! [X1] :
( ~ r1(X1)
| id(X1,sK19) ),
inference(cnf_transformation,[],[f67]) ).
fof(f162,plain,
spl20_9,
inference(avatar_split_clause,[],[f98,f160]) ).
fof(f98,plain,
! [X0,X1] : r2(X1,sK16(X0,X1)),
inference(cnf_transformation,[],[f61]) ).
fof(f158,plain,
spl20_8,
inference(avatar_split_clause,[],[f93,f156]) ).
fof(f93,plain,
! [X0,X1] : r2(X1,sK12(X0,X1)),
inference(cnf_transformation,[],[f56]) ).
fof(f154,plain,
spl20_7,
inference(avatar_split_clause,[],[f79,f152]) ).
fof(f79,plain,
! [X0] : id(sK5(X0),sK6(X0)),
inference(cnf_transformation,[],[f49]) ).
fof(f150,plain,
spl20_6,
inference(avatar_split_clause,[],[f68,f148]) ).
fof(f68,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ r2(X2,X1)
| ~ r1(X2)
| ~ id(X0,X1)
| ~ r2(X4,X3)
| ~ r1(X4)
| ~ r3(X5,X3,X0)
| ~ r1(X5) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ~ r2(X2,X1)
| ~ r1(X2) )
| ~ id(X0,X1) )
| ! [X3] :
( ! [X4] :
( ~ r2(X4,X3)
| ~ r1(X4) )
| ! [X5] :
( ~ r3(X5,X3,X0)
| ~ r1(X5) ) ) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
~ ? [X0] :
( ? [X1] :
( ? [X2] :
( r2(X2,X1)
& r1(X2) )
& id(X0,X1) )
& ? [X3] :
( ? [X4] :
( r2(X4,X3)
& r1(X4) )
& ? [X5] :
( r3(X5,X3,X0)
& r1(X5) ) ) ),
inference(rectify,[],[f20]) ).
fof(f20,negated_conjecture,
~ ? [X62] :
( ? [X46] :
( ? [X48] :
( r2(X48,X46)
& r1(X48) )
& id(X62,X46) )
& ? [X45] :
( ? [X40] :
( r2(X40,X45)
& r1(X40) )
& ? [X39] :
( r3(X39,X45,X62)
& r1(X39) ) ) ),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
? [X62] :
( ? [X46] :
( ? [X48] :
( r2(X48,X46)
& r1(X48) )
& id(X62,X46) )
& ? [X45] :
( ? [X40] :
( r2(X40,X45)
& r1(X40) )
& ? [X39] :
( r3(X39,X45,X62)
& r1(X39) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f146,plain,
spl20_5,
inference(avatar_split_clause,[],[f74,f144]) ).
fof(f74,plain,
! [X0] : id(sK3(X0),X0),
inference(cnf_transformation,[],[f45]) ).
fof(f142,plain,
spl20_4,
inference(avatar_split_clause,[],[f80,f140]) ).
fof(f80,plain,
! [X0] : r1(sK6(X0)),
inference(cnf_transformation,[],[f49]) ).
fof(f138,plain,
spl20_3,
inference(avatar_split_clause,[],[f77,f136]) ).
fof(f77,plain,
! [X0] : r1(sK7(X0)),
inference(cnf_transformation,[],[f49]) ).
fof(f134,plain,
spl20_2,
inference(avatar_split_clause,[],[f75,f132]) ).
fof(f75,plain,
! [X0] : r1(sK4(X0)),
inference(cnf_transformation,[],[f45]) ).
fof(f130,plain,
spl20_1,
inference(avatar_split_clause,[],[f69,f128]) ).
fof(f69,plain,
! [X0] : id(X0,X0),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0] : id(X0,X0),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X13] : id(X13,X13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : NUN054+1 : TPTP v8.2.0. Bugfixed v7.3.0.
% 0.13/0.14 % Command : run_vampire %s %d SAT
% 0.14/0.38 % Computer : n020.cluster.edu
% 0.14/0.38 % Model : x86_64 x86_64
% 0.14/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.38 % Memory : 8042.1875MB
% 0.14/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.38 % CPULimit : 300
% 0.14/0.38 % WCLimit : 300
% 0.14/0.38 % DateTime : Tue Jun 18 21:08:09 EDT 2024
% 0.14/0.38 % CPUTime :
% 0.14/0.40 This is a FOF_THM_RFO_NEQ problem
% 0.14/0.40 Running first-order model finding
% 0.14/0.40 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.27/0.47 % (8037)Running in auto input_syntax mode. Trying TPTP
% 0.27/0.47 % (8042)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (3000ds/104Mi)
% 0.27/0.47 % (8037)Running in auto input_syntax mode. Trying TPTP
% 0.27/0.47 % (8043)ott+11_8:59_sil=16000:sp=occurrence:lsd=20:abs=on:i=146:aac=none:nm=16:fdi=10:rawr=on:nicw=on_0 on theBenchmark for (3000ds/146Mi)
% 0.27/0.47 % (8037)Running in auto input_syntax mode. Trying TPTP
% 0.27/0.47 % (8044)ott-4_1:1_sil=4000:sp=reverse_arity:lcm=predicate:newcnf=on:i=115:bce=on:fd=off:fs=off:fsr=off_0 on theBenchmark for (3000ds/115Mi)
% 0.27/0.47 % (8037)Running in auto input_syntax mode. Trying TPTP
% 0.27/0.47 % (8038)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (3000ds/98885Mi)
% 0.27/0.47 % (8037)Running in auto input_syntax mode. Trying TPTP
% 0.27/0.47 % (8040)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (3000ds/214858Mi)
% 0.27/0.47 % (8037)Running in auto input_syntax mode. Trying TPTP
% 0.27/0.47 % (8041)fmb+10_1:1_sil=256000:fmbss=23:fmbes=contour:newcnf=on:fmbsr=1.14:i=152523:nm=2:gsp=on:rp=on_0 on theBenchmark for (3000ds/152523Mi)
% 0.27/0.47 % (8037)Running in auto input_syntax mode. Trying TPTP
% 0.27/0.47 % (8039)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:i=99418_0 on theBenchmark for (3000ds/99418Mi)
% 0.27/0.47 TRYING [1]
% 0.27/0.47 TRYING [2]
% 0.27/0.47 TRYING [3]
% 0.27/0.48 TRYING [10]
% 0.27/0.48 TRYING [4]
% 0.27/0.50 TRYING [5]
% 0.27/0.53 % (8044)Instruction limit reached!
% 0.27/0.53 % (8044)------------------------------
% 0.27/0.53 % (8044)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.27/0.53 % (8044)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.27/0.53 % (8044)Termination reason: Time limit
% 0.27/0.53 % (8044)Termination phase: Saturation
% 0.27/0.53
% 0.27/0.53 % (8044)Memory used [KB]: 2417
% 0.27/0.53 % (8044)Time elapsed: 0.064 s
% 0.27/0.53 % (8044)Instructions burned: 115 (million)
% 0.27/0.53 % (8042)Instruction limit reached!
% 0.27/0.53 % (8042)------------------------------
% 0.27/0.53 % (8042)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.27/0.53 % (8042)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.27/0.53 % (8042)Termination reason: Time limit
% 0.27/0.53 % (8042)Termination phase: Saturation
% 0.27/0.53
% 0.27/0.53 % (8042)Memory used [KB]: 1529
% 0.27/0.53 % (8042)Time elapsed: 0.065 s
% 0.27/0.53 % (8042)Instructions burned: 105 (million)
% 0.27/0.54 TRYING [6]
% 1.19/0.55 % (8043)Instruction limit reached!
% 1.19/0.55 % (8043)------------------------------
% 1.19/0.55 % (8043)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.19/0.55 % (8043)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.19/0.55 % (8043)Termination reason: Time limit
% 1.19/0.55 % (8043)Termination phase: Saturation
% 1.19/0.55
% 1.19/0.55 % (8043)Memory used [KB]: 1589
% 1.19/0.55 % (8043)Time elapsed: 0.091 s
% 1.19/0.55 % (8043)Instructions burned: 147 (million)
% 1.33/0.58 TRYING [23]
% 1.33/0.59 % (8037)Running in auto input_syntax mode. Trying TPTP
% 1.33/0.59 % (8046)ott-21_1:1_sil=4000:sp=const_frequency:i=175:fsr=off:fs=off:av=off_0 on theBenchmark for (2998ds/175Mi)
% 1.33/0.59 % (8037)Running in auto input_syntax mode. Trying TPTP
% 1.33/0.59 % (8045)dis+11_1:3_bsr=unit_only:sil=2000:rp=on:newcnf=on:i=404:kws=precedence:lsd=100_0 on theBenchmark for (2998ds/404Mi)
% 1.33/0.61 % (8037)Running in auto input_syntax mode. Trying TPTP
% 1.33/0.61 % (8047)ott+33_1:1_to=lpo:sil=8000:sp=weighted_frequency:rp=on:i=270:nm=3:fsr=off:sac=on_0 on theBenchmark for (2998ds/270Mi)
% 1.67/0.65 TRYING [7]
% 1.82/0.68 % (8046)Instruction limit reached!
% 1.82/0.68 % (8046)------------------------------
% 1.82/0.68 % (8046)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.82/0.68 % (8046)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.82/0.68 % (8046)Termination reason: Time limit
% 1.82/0.68 % (8046)Termination phase: Saturation
% 1.82/0.68
% 1.82/0.68 % (8046)Memory used [KB]: 3779
% 1.82/0.68 % (8046)Time elapsed: 0.092 s
% 1.82/0.68 % (8046)Instructions burned: 175 (million)
% 1.82/0.70 % (8039)First to succeed.
% 1.82/0.72 % (8039)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-8037"
% 2.19/0.72 % (8037)Running in auto input_syntax mode. Trying TPTP
% 2.19/0.72 % (8039)Refutation found. Thanks to Tanya!
% 2.19/0.72 % SZS status Theorem for theBenchmark
% 2.19/0.72 % SZS output start Proof for theBenchmark
% See solution above
% 2.19/0.73 % (8039)------------------------------
% 2.19/0.73 % (8039)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.19/0.73 % (8039)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.19/0.73 % (8039)Termination reason: Refutation
% 2.19/0.73
% 2.19/0.73 % (8039)Memory used [KB]: 3954
% 2.19/0.73 % (8039)Time elapsed: 0.249 s
% 2.19/0.73 % (8039)Instructions burned: 402 (million)
% 2.19/0.73 % (8039)------------------------------
% 2.19/0.73 % (8039)------------------------------
% 2.19/0.73 % (8037)Success in time 0.32 s
%------------------------------------------------------------------------------