TSTP Solution File: NUN076+1 by Vampire-SAT---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.9
% Problem : NUN076+1 : TPTP v8.2.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d SAT
% Computer : n008.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 13:33:34 EDT 2024
% Result : Theorem 0.21s 0.55s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 375
% Syntax : Number of formulae : 1223 ( 64 unt; 0 def)
% Number of atoms : 4539 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 6161 (2845 ~;2791 |; 169 &)
% ( 337 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 343 ( 342 usr; 338 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 1 con; 0-2 aty)
% Number of variables : 2539 (2434 !; 105 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3965,plain,
$false,
inference(avatar_sat_refutation,[],[f130,f134,f138,f142,f146,f150,f154,f158,f162,f166,f173,f177,f182,f186,f190,f194,f198,f208,f212,f216,f220,f224,f228,f232,f236,f246,f269,f273,f277,f281,f285,f289,f301,f305,f309,f313,f317,f321,f325,f353,f357,f361,f365,f384,f388,f392,f396,f422,f426,f441,f445,f449,f453,f457,f461,f484,f491,f495,f499,f503,f515,f519,f523,f527,f531,f535,f539,f543,f547,f551,f555,f612,f616,f620,f624,f628,f632,f636,f640,f644,f648,f666,f709,f713,f717,f721,f741,f775,f779,f783,f787,f791,f795,f799,f803,f807,f811,f881,f885,f889,f893,f897,f901,f905,f979,f983,f998,f1002,f1006,f1040,f1044,f1048,f1094,f1098,f1102,f1106,f1110,f1114,f1118,f1122,f1126,f1130,f1147,f1246,f1274,f1278,f1282,f1286,f1290,f1294,f1369,f1373,f1377,f1381,f1397,f1436,f1440,f1444,f1480,f1484,f1488,f1492,f1496,f1551,f1555,f1559,f1563,f1567,f1611,f1615,f1619,f1649,f1653,f1657,f1677,f1681,f1697,f1701,f1710,f1714,f1718,f1722,f1726,f1730,f1734,f1738,f1772,f1776,f1792,f1809,f1827,f1831,f1835,f1839,f1843,f1847,f1851,f1953,f1957,f1974,f1978,f1982,f1986,f1990,f1994,f1998,f2002,f2006,f2010,f2014,f2018,f2022,f2026,f2030,f2034,f2038,f2042,f2046,f2050,f2054,f2058,f2062,f2066,f2070,f2074,f2078,f2082,f2111,f2122,f2207,f2211,f2215,f2219,f2223,f2227,f2231,f2235,f2239,f2243,f2247,f2251,f2255,f2259,f2263,f2321,f2454,f2458,f2462,f2466,f2470,f2474,f2478,f2482,f2486,f2490,f2494,f2498,f2502,f2506,f2510,f2514,f2518,f2522,f2526,f2530,f2534,f2538,f2542,f2546,f2550,f2554,f2558,f2563,f2567,f2571,f2575,f2579,f2583,f2587,f2591,f2595,f2599,f2603,f2607,f2611,f2615,f3034,f3106,f3110,f3114,f3118,f3122,f3126,f3130,f3134,f3138,f3142,f3146,f3150,f3154,f3158,f3162,f3166,f3170,f3174,f3194,f3198,f3202,f3206,f3210,f3214,f3218,f3271,f3710,f3728,f3732,f3736,f3740,f3744,f3748,f3752,f3756,f3760,f3765,f3769,f3773,f3777,f3781,f3785,f3789,f3793,f3797,f3801,f3805,f3809,f3813,f3817,f3821,f3825,f3829,f3833,f3837,f3841,f3845,f3867,f3871,f3875,f3879,f3883,f3887,f3891,f3895,f3899,f3903,f3907,f3911,f3958,f3959,f3960,f3961,f3962,f3963,f3964]) ).
fof(f3964,plain,
( ~ spl20_160
| ~ spl20_336 ),
inference(avatar_contradiction_clause,[],[f3951]) ).
fof(f3951,plain,
( $false
| ~ spl20_160
| ~ spl20_336 ),
inference(resolution,[],[f3906,f1709]) ).
fof(f1709,plain,
( r1(sK2(sK19))
| ~ spl20_160 ),
inference(avatar_component_clause,[],[f1707]) ).
fof(f1707,plain,
( spl20_160
<=> r1(sK2(sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_160])]) ).
fof(f3906,plain,
( ! [X0] : ~ r1(X0)
| ~ spl20_336 ),
inference(avatar_component_clause,[],[f3905]) ).
fof(f3905,plain,
( spl20_336
<=> ! [X0] : ~ r1(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_336])]) ).
fof(f3963,plain,
( ~ spl20_26
| ~ spl20_336 ),
inference(avatar_contradiction_clause,[],[f3952]) ).
fof(f3952,plain,
( $false
| ~ spl20_26
| ~ spl20_336 ),
inference(resolution,[],[f3906,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(f3962,plain,
( ~ spl20_2
| ~ spl20_336 ),
inference(avatar_contradiction_clause,[],[f3953]) ).
fof(f3953,plain,
( $false
| ~ spl20_2
| ~ spl20_336 ),
inference(resolution,[],[f3906,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(f3961,plain,
( ~ spl20_65
| ~ spl20_336 ),
inference(avatar_contradiction_clause,[],[f3954]) ).
fof(f3954,plain,
( $false
| ~ spl20_65
| ~ spl20_336 ),
inference(resolution,[],[f3906,f530]) ).
fof(f530,plain,
( ! [X0] : r1(sK5(X0))
| ~ spl20_65 ),
inference(avatar_component_clause,[],[f529]) ).
fof(f529,plain,
( spl20_65
<=> ! [X0] : r1(sK5(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_65])]) ).
fof(f3960,plain,
( ~ spl20_4
| ~ spl20_336 ),
inference(avatar_contradiction_clause,[],[f3955]) ).
fof(f3955,plain,
( $false
| ~ spl20_4
| ~ spl20_336 ),
inference(resolution,[],[f3906,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(f3959,plain,
( ~ spl20_3
| ~ spl20_336 ),
inference(avatar_contradiction_clause,[],[f3956]) ).
fof(f3956,plain,
( $false
| ~ spl20_3
| ~ spl20_336 ),
inference(resolution,[],[f3906,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(f3958,plain,
( ~ spl20_13
| ~ spl20_336 ),
inference(avatar_contradiction_clause,[],[f3957]) ).
fof(f3957,plain,
( $false
| ~ spl20_13
| ~ spl20_336 ),
inference(resolution,[],[f3906,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(f3911,plain,
( spl20_337
| ~ spl20_1
| ~ spl20_123 ),
inference(avatar_split_clause,[],[f1259,f1145,f128,f3909]) ).
fof(f3909,plain,
( spl20_337
<=> ! [X0,X3,X2,X1] :
( r3(X0,X1,sK14(X2,X3))
| ~ id(X3,X1)
| ~ id(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_337])]) ).
fof(f128,plain,
( spl20_1
<=> ! [X0] : id(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_1])]) ).
fof(f1145,plain,
( spl20_123
<=> ! [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_123])]) ).
fof(f1259,plain,
( ! [X2,X3,X0,X1] :
( r3(X0,X1,sK14(X2,X3))
| ~ id(X3,X1)
| ~ id(X2,X0) )
| ~ spl20_1
| ~ spl20_123 ),
inference(resolution,[],[f1146,f129]) ).
fof(f129,plain,
( ! [X0] : id(X0,X0)
| ~ spl20_1 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f1146,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ id(sK14(X3,X4),X2)
| r3(X0,X1,X2)
| ~ id(X4,X1)
| ~ id(X3,X0) )
| ~ spl20_123 ),
inference(avatar_component_clause,[],[f1145]) ).
fof(f3907,plain,
( spl20_336
| ~ spl20_53
| ~ spl20_315 ),
inference(avatar_split_clause,[],[f3847,f3803,f451,f3905]) ).
fof(f451,plain,
( spl20_53
<=> ! [X0] : r2(X0,sK3(sK8(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_53])]) ).
fof(f3803,plain,
( spl20_315
<=> ! [X0,X1] :
( ~ r1(X0)
| ~ r2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_315])]) ).
fof(f3847,plain,
( ! [X0] : ~ r1(X0)
| ~ spl20_53
| ~ spl20_315 ),
inference(resolution,[],[f3804,f452]) ).
fof(f452,plain,
( ! [X0] : r2(X0,sK3(sK8(X0)))
| ~ spl20_53 ),
inference(avatar_component_clause,[],[f451]) ).
fof(f3804,plain,
( ! [X0,X1] :
( ~ r2(X0,X1)
| ~ r1(X0) )
| ~ spl20_315 ),
inference(avatar_component_clause,[],[f3803]) ).
fof(f3903,plain,
( spl20_335
| ~ spl20_1
| ~ spl20_122 ),
inference(avatar_split_clause,[],[f1247,f1128,f128,f3901]) ).
fof(f3901,plain,
( spl20_335
<=> ! [X2,X0,X1] :
( ~ id(sK3(X0),X1)
| r3(X2,sK4(X0),X1)
| ~ id(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_335])]) ).
fof(f1128,plain,
( spl20_122
<=> ! [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_122])]) ).
fof(f1247,plain,
( ! [X2,X0,X1] :
( ~ id(sK3(X0),X1)
| r3(X2,sK4(X0),X1)
| ~ id(X0,X2) )
| ~ spl20_1
| ~ spl20_122 ),
inference(resolution,[],[f1129,f129]) ).
fof(f1129,plain,
( ! [X2,X3,X0,X1] :
( ~ id(sK4(X3),X1)
| ~ id(sK3(X3),X2)
| r3(X0,X1,X2)
| ~ id(X3,X0) )
| ~ spl20_122 ),
inference(avatar_component_clause,[],[f1128]) ).
fof(f3899,plain,
( spl20_334
| ~ spl20_1
| ~ spl20_121 ),
inference(avatar_split_clause,[],[f1235,f1124,f128,f3897]) ).
fof(f3897,plain,
( spl20_334
<=> ! [X0,X3,X2,X1] :
( r3(X0,X1,sK14(X2,X3))
| ~ id(X1,X3)
| ~ id(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_334])]) ).
fof(f1124,plain,
( spl20_121
<=> ! [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_121])]) ).
fof(f1235,plain,
( ! [X2,X3,X0,X1] :
( r3(X0,X1,sK14(X2,X3))
| ~ id(X1,X3)
| ~ id(X0,X2) )
| ~ spl20_1
| ~ spl20_121 ),
inference(resolution,[],[f1125,f129]) ).
fof(f1125,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ id(X2,sK14(X3,X4))
| r3(X0,X1,X2)
| ~ id(X1,X4)
| ~ id(X0,X3) )
| ~ spl20_121 ),
inference(avatar_component_clause,[],[f1124]) ).
fof(f3895,plain,
( spl20_333
| ~ spl20_1
| ~ spl20_120 ),
inference(avatar_split_clause,[],[f1227,f1120,f128,f3893]) ).
fof(f3893,plain,
( spl20_333
<=> ! [X2,X0,X1] :
( r3(X0,X1,sK3(X2))
| ~ id(X1,sK4(X2))
| ~ id(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_333])]) ).
fof(f1120,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(f1227,plain,
( ! [X2,X0,X1] :
( r3(X0,X1,sK3(X2))
| ~ id(X1,sK4(X2))
| ~ id(X0,X2) )
| ~ spl20_1
| ~ spl20_120 ),
inference(resolution,[],[f1121,f129]) ).
fof(f1121,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,[],[f1120]) ).
fof(f3891,plain,
( spl20_332
| ~ spl20_1
| ~ spl20_119 ),
inference(avatar_split_clause,[],[f1214,f1116,f128,f3889]) ).
fof(f3889,plain,
( spl20_332
<=> ! [X0,X3,X2,X1] :
( r4(X0,X1,sK10(X2,X3))
| ~ id(X3,X1)
| ~ id(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_332])]) ).
fof(f1116,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(f1214,plain,
( ! [X2,X3,X0,X1] :
( r4(X0,X1,sK10(X2,X3))
| ~ id(X3,X1)
| ~ id(X2,X0) )
| ~ spl20_1
| ~ spl20_119 ),
inference(resolution,[],[f1117,f129]) ).
fof(f1117,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,[],[f1116]) ).
fof(f3887,plain,
( spl20_331
| ~ spl20_1
| ~ spl20_118 ),
inference(avatar_split_clause,[],[f1202,f1112,f128,f3885]) ).
fof(f3885,plain,
( spl20_331
<=> ! [X2,X0,X1] :
( ~ id(sK5(X0),X1)
| r4(X2,sK7(X0),X1)
| ~ id(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_331])]) ).
fof(f1112,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(f1202,plain,
( ! [X2,X0,X1] :
( ~ id(sK5(X0),X1)
| r4(X2,sK7(X0),X1)
| ~ id(X0,X2) )
| ~ spl20_1
| ~ spl20_118 ),
inference(resolution,[],[f1113,f129]) ).
fof(f1113,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,[],[f1112]) ).
fof(f3883,plain,
( spl20_330
| ~ spl20_1
| ~ spl20_117 ),
inference(avatar_split_clause,[],[f1194,f1108,f128,f3881]) ).
fof(f3881,plain,
( spl20_330
<=> ! [X0,X3,X2,X1] :
( r4(X0,X1,sK10(X2,X3))
| ~ id(X1,X3)
| ~ id(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_330])]) ).
fof(f1108,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(f1194,plain,
( ! [X2,X3,X0,X1] :
( r4(X0,X1,sK10(X2,X3))
| ~ id(X1,X3)
| ~ id(X0,X2) )
| ~ spl20_1
| ~ spl20_117 ),
inference(resolution,[],[f1109,f129]) ).
fof(f1109,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,[],[f1108]) ).
fof(f3879,plain,
( spl20_329
| ~ spl20_1
| ~ spl20_116 ),
inference(avatar_split_clause,[],[f1186,f1104,f128,f3877]) ).
fof(f3877,plain,
( spl20_329
<=> ! [X2,X0,X1] :
( r4(X0,X1,sK5(X2))
| ~ id(X1,sK7(X2))
| ~ id(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_329])]) ).
fof(f1104,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(f1186,plain,
( ! [X2,X0,X1] :
( r4(X0,X1,sK5(X2))
| ~ id(X1,sK7(X2))
| ~ id(X0,X2) )
| ~ spl20_1
| ~ spl20_116 ),
inference(resolution,[],[f1105,f129]) ).
fof(f1105,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,[],[f1104]) ).
fof(f3875,plain,
( spl20_328
| ~ spl20_50
| ~ spl20_116 ),
inference(avatar_split_clause,[],[f1185,f1104,f439,f3873]) ).
fof(f3873,plain,
( spl20_328
<=> ! [X2,X0,X1] :
( r4(X0,X1,sK6(X2))
| ~ id(X1,sK7(X2))
| ~ id(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_328])]) ).
fof(f439,plain,
( spl20_50
<=> ! [X0] : id(sK6(X0),sK5(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_50])]) ).
fof(f1185,plain,
( ! [X2,X0,X1] :
( r4(X0,X1,sK6(X2))
| ~ id(X1,sK7(X2))
| ~ id(X0,X2) )
| ~ spl20_50
| ~ spl20_116 ),
inference(resolution,[],[f1105,f440]) ).
fof(f440,plain,
( ! [X0] : id(sK6(X0),sK5(X0))
| ~ spl20_50 ),
inference(avatar_component_clause,[],[f439]) ).
fof(f3871,plain,
( spl20_327
| ~ spl20_1
| ~ spl20_115 ),
inference(avatar_split_clause,[],[f1173,f1100,f128,f3869]) ).
fof(f3869,plain,
( spl20_327
<=> ! [X0,X1] :
( r2(X0,sK1(X1))
| ~ id(sK0(X1),X0)
| id(X1,sK2(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_327])]) ).
fof(f1100,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(f1173,plain,
( ! [X0,X1] :
( r2(X0,sK1(X1))
| ~ id(sK0(X1),X0)
| id(X1,sK2(X1)) )
| ~ spl20_1
| ~ spl20_115 ),
inference(resolution,[],[f1101,f129]) ).
fof(f1101,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,[],[f1100]) ).
fof(f3867,plain,
( spl20_326
| ~ spl20_1
| ~ spl20_114 ),
inference(avatar_split_clause,[],[f1164,f1096,f128,f3865]) ).
fof(f3865,plain,
( spl20_326
<=> ! [X0,X1] :
( r2(X0,sK1(X1))
| ~ id(X0,sK0(X1))
| id(X1,sK2(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_326])]) ).
fof(f1096,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(f1164,plain,
( ! [X0,X1] :
( r2(X0,sK1(X1))
| ~ id(X0,sK0(X1))
| id(X1,sK2(X1)) )
| ~ spl20_1
| ~ spl20_114 ),
inference(resolution,[],[f1097,f129]) ).
fof(f1097,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,[],[f1096]) ).
fof(f3845,plain,
( spl20_325
| ~ spl20_1
| ~ spl20_113 ),
inference(avatar_split_clause,[],[f1152,f1092,f128,f3843]) ).
fof(f3843,plain,
( spl20_325
<=> ! [X0,X1] :
( ~ r2(X0,sK1(X1))
| id(X0,sK0(X1))
| id(X1,sK2(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_325])]) ).
fof(f1092,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(f1152,plain,
( ! [X0,X1] :
( ~ r2(X0,sK1(X1))
| id(X0,sK0(X1))
| id(X1,sK2(X1)) )
| ~ spl20_1
| ~ spl20_113 ),
inference(resolution,[],[f1093,f129]) ).
fof(f1093,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,[],[f1092]) ).
fof(f3841,plain,
( spl20_324
| ~ spl20_36
| ~ spl20_112 ),
inference(avatar_split_clause,[],[f1085,f1046,f311,f3839]) ).
fof(f3839,plain,
( spl20_324
<=> ! [X0,X1] :
( r2(X0,sK3(sK1(X1)))
| ~ id(sK0(X1),X0)
| r1(sK2(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_324])]) ).
fof(f311,plain,
( spl20_36
<=> ! [X0] : id(X0,sK3(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_36])]) ).
fof(f1046,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(f1085,plain,
( ! [X0,X1] :
( r2(X0,sK3(sK1(X1)))
| ~ id(sK0(X1),X0)
| r1(sK2(X1)) )
| ~ spl20_36
| ~ spl20_112 ),
inference(resolution,[],[f1047,f312]) ).
fof(f312,plain,
( ! [X0] : id(X0,sK3(X0))
| ~ spl20_36 ),
inference(avatar_component_clause,[],[f311]) ).
fof(f1047,plain,
( ! [X2,X0,X1] :
( ~ id(sK1(X2),X1)
| r2(X0,X1)
| ~ id(sK0(X2),X0)
| r1(sK2(X2)) )
| ~ spl20_112 ),
inference(avatar_component_clause,[],[f1046]) ).
fof(f3837,plain,
( spl20_323
| ~ spl20_5
| ~ spl20_111 ),
inference(avatar_split_clause,[],[f1070,f1042,f144,f3835]) ).
fof(f3835,plain,
( spl20_323
<=> ! [X0,X1] :
( r2(X0,sK3(sK1(X1)))
| ~ id(X0,sK0(X1))
| r1(sK2(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_323])]) ).
fof(f144,plain,
( spl20_5
<=> ! [X0] : id(sK3(X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_5])]) ).
fof(f1042,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(f1070,plain,
( ! [X0,X1] :
( r2(X0,sK3(sK1(X1)))
| ~ id(X0,sK0(X1))
| r1(sK2(X1)) )
| ~ spl20_5
| ~ spl20_111 ),
inference(resolution,[],[f1043,f145]) ).
fof(f145,plain,
( ! [X0] : id(sK3(X0),X0)
| ~ spl20_5 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f1043,plain,
( ! [X2,X0,X1] :
( ~ id(X1,sK1(X2))
| r2(X0,X1)
| ~ id(X0,sK0(X2))
| r1(sK2(X2)) )
| ~ spl20_111 ),
inference(avatar_component_clause,[],[f1042]) ).
fof(f3833,plain,
( spl20_322
| ~ spl20_5
| ~ spl20_110 ),
inference(avatar_split_clause,[],[f1056,f1038,f144,f3831]) ).
fof(f3831,plain,
( spl20_322
<=> ! [X0,X1] :
( ~ r2(X0,sK3(sK1(X1)))
| id(X0,sK0(X1))
| r1(sK2(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_322])]) ).
fof(f1038,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(f1056,plain,
( ! [X0,X1] :
( ~ r2(X0,sK3(sK1(X1)))
| id(X0,sK0(X1))
| r1(sK2(X1)) )
| ~ spl20_5
| ~ spl20_110 ),
inference(resolution,[],[f1039,f145]) ).
fof(f1039,plain,
( ! [X2,X0,X1] :
( ~ id(X2,sK1(X1))
| ~ r2(X0,X2)
| id(X0,sK0(X1))
| r1(sK2(X1)) )
| ~ spl20_110 ),
inference(avatar_component_clause,[],[f1038]) ).
fof(f3829,plain,
( spl20_321
| ~ spl20_9
| ~ spl20_109 ),
inference(avatar_split_clause,[],[f1036,f1004,f160,f3827]) ).
fof(f3827,plain,
( spl20_321
<=> ! [X2,X0,X1] :
( ~ id(sK13(X0,X1),X2)
| r2(sK19,X2)
| ~ r1(sK14(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_321])]) ).
fof(f160,plain,
( spl20_9
<=> ! [X1] :
( ~ r1(X1)
| id(X1,sK19) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_9])]) ).
fof(f1004,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(f1036,plain,
( ! [X2,X0,X1] :
( ~ id(sK13(X0,X1),X2)
| r2(sK19,X2)
| ~ r1(sK14(X0,X1)) )
| ~ spl20_9
| ~ spl20_109 ),
inference(resolution,[],[f1005,f161]) ).
fof(f161,plain,
( ! [X1] :
( id(X1,sK19)
| ~ r1(X1) )
| ~ spl20_9 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f1005,plain,
( ! [X2,X3,X0,X1] :
( ~ id(sK14(X2,X3),X0)
| ~ id(sK13(X2,X3),X1)
| r2(X0,X1) )
| ~ spl20_109 ),
inference(avatar_component_clause,[],[f1004]) ).
fof(f3825,plain,
( spl20_320
| ~ spl20_31
| ~ spl20_106 ),
inference(avatar_split_clause,[],[f994,f981,f283,f3823]) ).
fof(f3823,plain,
( spl20_320
<=> ! [X2,X0,X1] :
( ~ id(X0,sK9(X1,X2))
| id(X0,sK18(sK10(X1,X2),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_320])]) ).
fof(f283,plain,
( spl20_31
<=> ! [X0,X1] : r3(sK10(X0,X1),X0,sK9(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_31])]) ).
fof(f981,plain,
( spl20_106
<=> ! [X0,X3,X2,X1] :
( id(X0,sK18(X1,X2))
| ~ id(X0,X3)
| ~ r3(X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_106])]) ).
fof(f994,plain,
( ! [X2,X0,X1] :
( ~ id(X0,sK9(X1,X2))
| id(X0,sK18(sK10(X1,X2),X1)) )
| ~ spl20_31
| ~ spl20_106 ),
inference(resolution,[],[f982,f284]) ).
fof(f284,plain,
( ! [X0,X1] : r3(sK10(X0,X1),X0,sK9(X0,X1))
| ~ spl20_31 ),
inference(avatar_component_clause,[],[f283]) ).
fof(f982,plain,
( ! [X2,X3,X0,X1] :
( ~ r3(X1,X2,X3)
| ~ id(X0,X3)
| id(X0,sK18(X1,X2)) )
| ~ spl20_106 ),
inference(avatar_component_clause,[],[f981]) ).
fof(f3821,plain,
( spl20_319
| ~ spl20_32
| ~ spl20_106 ),
inference(avatar_split_clause,[],[f993,f981,f287,f3819]) ).
fof(f3819,plain,
( spl20_319
<=> ! [X2,X0,X1] :
( ~ id(X0,sK15(X1,X2))
| id(X0,sK18(X1,sK16(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_319])]) ).
fof(f287,plain,
( spl20_32
<=> ! [X0,X1] : r3(X0,sK16(X0,X1),sK15(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_32])]) ).
fof(f993,plain,
( ! [X2,X0,X1] :
( ~ id(X0,sK15(X1,X2))
| id(X0,sK18(X1,sK16(X1,X2))) )
| ~ spl20_32
| ~ spl20_106 ),
inference(resolution,[],[f982,f288]) ).
fof(f288,plain,
( ! [X0,X1] : r3(X0,sK16(X0,X1),sK15(X0,X1))
| ~ spl20_32 ),
inference(avatar_component_clause,[],[f287]) ).
fof(f3817,plain,
( spl20_318
| ~ spl20_30
| ~ spl20_105 ),
inference(avatar_split_clause,[],[f988,f977,f279,f3815]) ).
fof(f3815,plain,
( spl20_318
<=> ! [X2,X0,X1] :
( ~ id(X0,sK11(X1,X2))
| id(X0,sK17(X1,sK12(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_318])]) ).
fof(f279,plain,
( spl20_30
<=> ! [X0,X1] : r4(X0,sK12(X0,X1),sK11(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_30])]) ).
fof(f977,plain,
( spl20_105
<=> ! [X0,X3,X2,X1] :
( id(X0,sK17(X1,X2))
| ~ id(X0,X3)
| ~ r4(X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_105])]) ).
fof(f988,plain,
( ! [X2,X0,X1] :
( ~ id(X0,sK11(X1,X2))
| id(X0,sK17(X1,sK12(X1,X2))) )
| ~ spl20_30
| ~ spl20_105 ),
inference(resolution,[],[f978,f280]) ).
fof(f280,plain,
( ! [X0,X1] : r4(X0,sK12(X0,X1),sK11(X0,X1))
| ~ spl20_30 ),
inference(avatar_component_clause,[],[f279]) ).
fof(f978,plain,
( ! [X2,X3,X0,X1] :
( ~ r4(X1,X2,X3)
| ~ id(X0,X3)
| id(X0,sK17(X1,X2)) )
| ~ spl20_105 ),
inference(avatar_component_clause,[],[f977]) ).
fof(f3813,plain,
( spl20_317
| ~ spl20_19
| ~ spl20_104 ),
inference(avatar_split_clause,[],[f972,f903,f210,f3811]) ).
fof(f3811,plain,
( spl20_317
<=> ! [X0,X3,X2,X1] :
( r2(X0,sK8(X1))
| ~ id(X2,X0)
| ~ r2(X1,sK16(X3,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_317])]) ).
fof(f210,plain,
( spl20_19
<=> ! [X2,X0] :
( ~ r2(X0,X2)
| id(X2,sK8(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_19])]) ).
fof(f903,plain,
( spl20_104
<=> ! [X0,X3,X2,X1] :
( r2(X0,X1)
| ~ id(sK16(X2,X3),X1)
| ~ id(X3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_104])]) ).
fof(f972,plain,
( ! [X2,X3,X0,X1] :
( r2(X0,sK8(X1))
| ~ id(X2,X0)
| ~ r2(X1,sK16(X3,X2)) )
| ~ spl20_19
| ~ spl20_104 ),
inference(resolution,[],[f904,f211]) ).
fof(f211,plain,
( ! [X2,X0] :
( id(X2,sK8(X0))
| ~ r2(X0,X2) )
| ~ spl20_19 ),
inference(avatar_component_clause,[],[f210]) ).
fof(f904,plain,
( ! [X2,X3,X0,X1] :
( ~ id(sK16(X2,X3),X1)
| r2(X0,X1)
| ~ id(X3,X0) )
| ~ spl20_104 ),
inference(avatar_component_clause,[],[f903]) ).
fof(f3809,plain,
( spl20_316
| ~ spl20_19
| ~ spl20_103 ),
inference(avatar_split_clause,[],[f960,f899,f210,f3807]) ).
fof(f3807,plain,
( spl20_316
<=> ! [X0,X3,X2,X1] :
( r2(X0,sK8(X1))
| ~ id(X2,X0)
| ~ r2(X1,sK12(X3,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_316])]) ).
fof(f899,plain,
( spl20_103
<=> ! [X0,X3,X2,X1] :
( r2(X0,X1)
| ~ id(sK12(X2,X3),X1)
| ~ id(X3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_103])]) ).
fof(f960,plain,
( ! [X2,X3,X0,X1] :
( r2(X0,sK8(X1))
| ~ id(X2,X0)
| ~ r2(X1,sK12(X3,X2)) )
| ~ spl20_19
| ~ spl20_103 ),
inference(resolution,[],[f900,f211]) ).
fof(f900,plain,
( ! [X2,X3,X0,X1] :
( ~ id(sK12(X2,X3),X1)
| r2(X0,X1)
| ~ id(X3,X0) )
| ~ spl20_103 ),
inference(avatar_component_clause,[],[f899]) ).
fof(f3805,plain,
( spl20_315
| ~ spl20_4
| ~ spl20_295 ),
inference(avatar_split_clause,[],[f3761,f3708,f140,f3803]) ).
fof(f3708,plain,
( spl20_295
<=> ! [X0,X1] :
( ~ r2(X0,X1)
| ~ r1(X0)
| ~ r1(sK6(sK8(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_295])]) ).
fof(f3761,plain,
( ! [X0,X1] :
( ~ r1(X0)
| ~ r2(X0,X1) )
| ~ spl20_4
| ~ spl20_295 ),
inference(resolution,[],[f3709,f141]) ).
fof(f3709,plain,
( ! [X0,X1] :
( ~ r1(sK6(sK8(X1)))
| ~ r1(X0)
| ~ r2(X0,X1) )
| ~ spl20_295 ),
inference(avatar_component_clause,[],[f3708]) ).
fof(f3801,plain,
( spl20_314
| ~ spl20_62
| ~ spl20_102 ),
inference(avatar_split_clause,[],[f949,f895,f517,f3799]) ).
fof(f3799,plain,
( spl20_314
<=> ! [X0,X3,X2,X1] :
( r2(X0,sK8(X1))
| ~ id(X0,X2)
| ~ r2(X1,sK16(X3,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_314])]) ).
fof(f517,plain,
( spl20_62
<=> ! [X0,X1] :
( ~ r2(X0,X1)
| id(sK8(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_62])]) ).
fof(f895,plain,
( spl20_102
<=> ! [X0,X3,X2,X1] :
( r2(X0,X1)
| ~ id(X1,sK16(X2,X3))
| ~ id(X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_102])]) ).
fof(f949,plain,
( ! [X2,X3,X0,X1] :
( r2(X0,sK8(X1))
| ~ id(X0,X2)
| ~ r2(X1,sK16(X3,X2)) )
| ~ spl20_62
| ~ spl20_102 ),
inference(resolution,[],[f896,f518]) ).
fof(f518,plain,
( ! [X0,X1] :
( id(sK8(X0),X1)
| ~ r2(X0,X1) )
| ~ spl20_62 ),
inference(avatar_component_clause,[],[f517]) ).
fof(f896,plain,
( ! [X2,X3,X0,X1] :
( ~ id(X1,sK16(X2,X3))
| r2(X0,X1)
| ~ id(X0,X3) )
| ~ spl20_102 ),
inference(avatar_component_clause,[],[f895]) ).
fof(f3797,plain,
( spl20_313
| ~ spl20_62
| ~ spl20_101 ),
inference(avatar_split_clause,[],[f941,f891,f517,f3795]) ).
fof(f3795,plain,
( spl20_313
<=> ! [X0,X3,X2,X1] :
( r2(X0,sK8(X1))
| ~ id(X0,X2)
| ~ r2(X1,sK12(X3,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_313])]) ).
fof(f891,plain,
( spl20_101
<=> ! [X0,X3,X2,X1] :
( r2(X0,X1)
| ~ id(X1,sK12(X2,X3))
| ~ id(X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_101])]) ).
fof(f941,plain,
( ! [X2,X3,X0,X1] :
( r2(X0,sK8(X1))
| ~ id(X0,X2)
| ~ r2(X1,sK12(X3,X2)) )
| ~ spl20_62
| ~ spl20_101 ),
inference(resolution,[],[f892,f518]) ).
fof(f892,plain,
( ! [X2,X3,X0,X1] :
( ~ id(X1,sK12(X2,X3))
| r2(X0,X1)
| ~ id(X0,X3) )
| ~ spl20_101 ),
inference(avatar_component_clause,[],[f891]) ).
fof(f3793,plain,
( spl20_312
| ~ spl20_62
| ~ spl20_100 ),
inference(avatar_split_clause,[],[f933,f887,f517,f3791]) ).
fof(f3791,plain,
( spl20_312
<=> ! [X0,X3,X2,X1] :
( ~ r2(X0,sK8(X1))
| id(X0,X2)
| ~ r2(X1,sK16(X3,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_312])]) ).
fof(f887,plain,
( spl20_100
<=> ! [X0,X3,X2,X1] :
( id(X0,X1)
| ~ r2(X0,X2)
| ~ id(X2,sK16(X3,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_100])]) ).
fof(f933,plain,
( ! [X2,X3,X0,X1] :
( ~ r2(X0,sK8(X1))
| id(X0,X2)
| ~ r2(X1,sK16(X3,X2)) )
| ~ spl20_62
| ~ spl20_100 ),
inference(resolution,[],[f888,f518]) ).
fof(f888,plain,
( ! [X2,X3,X0,X1] :
( ~ id(X2,sK16(X3,X1))
| ~ r2(X0,X2)
| id(X0,X1) )
| ~ spl20_100 ),
inference(avatar_component_clause,[],[f887]) ).
fof(f3789,plain,
( spl20_311
| ~ spl20_62
| ~ spl20_99 ),
inference(avatar_split_clause,[],[f925,f883,f517,f3787]) ).
fof(f3787,plain,
( spl20_311
<=> ! [X0,X3,X2,X1] :
( ~ r2(X0,sK8(X1))
| id(X0,X2)
| ~ r2(X1,sK12(X3,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_311])]) ).
fof(f883,plain,
( spl20_99
<=> ! [X0,X3,X2,X1] :
( id(X0,X1)
| ~ r2(X0,X2)
| ~ id(X2,sK12(X3,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_99])]) ).
fof(f925,plain,
( ! [X2,X3,X0,X1] :
( ~ r2(X0,sK8(X1))
| id(X0,X2)
| ~ r2(X1,sK12(X3,X2)) )
| ~ spl20_62
| ~ spl20_99 ),
inference(resolution,[],[f884,f518]) ).
fof(f884,plain,
( ! [X2,X3,X0,X1] :
( ~ id(X2,sK12(X3,X1))
| ~ r2(X0,X2)
| id(X0,X1) )
| ~ spl20_99 ),
inference(avatar_component_clause,[],[f883]) ).
fof(f3785,plain,
( spl20_310
| ~ spl20_21
| ~ spl20_98 ),
inference(avatar_split_clause,[],[f917,f879,f218,f3783]) ).
fof(f3783,plain,
( spl20_310
<=> ! [X0,X1] :
( id(X1,sK1(X1))
| ~ id(X0,X1)
| ~ r1(sK2(X1))
| r1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_310])]) ).
fof(f218,plain,
( spl20_21
<=> ! [X0,X1] :
( r1(X0)
| ~ r1(X1)
| ~ id(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_21])]) ).
fof(f879,plain,
( spl20_98
<=> ! [X0,X1] :
( id(X0,sK2(X1))
| ~ id(X0,X1)
| id(X1,sK1(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_98])]) ).
fof(f917,plain,
( ! [X0,X1] :
( id(X1,sK1(X1))
| ~ id(X0,X1)
| ~ r1(sK2(X1))
| r1(X0) )
| ~ spl20_21
| ~ spl20_98 ),
inference(resolution,[],[f880,f219]) ).
fof(f219,plain,
( ! [X0,X1] :
( ~ id(X0,X1)
| ~ r1(X1)
| r1(X0) )
| ~ spl20_21 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f880,plain,
( ! [X0,X1] :
( id(X1,sK1(X1))
| id(X0,sK2(X1))
| ~ id(X0,X1) )
| ~ spl20_98 ),
inference(avatar_component_clause,[],[f879]) ).
fof(f3781,plain,
( spl20_309
| ~ spl20_22
| ~ spl20_98 ),
inference(avatar_split_clause,[],[f910,f879,f222,f3779]) ).
fof(f3779,plain,
( spl20_309
<=> ! [X0,X1] :
( id(X1,sK2(X0))
| ~ id(X1,X0)
| ~ r1(X0)
| r1(sK1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_309])]) ).
fof(f222,plain,
( spl20_22
<=> ! [X0,X1] :
( r1(X1)
| ~ r1(X0)
| ~ id(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_22])]) ).
fof(f910,plain,
( ! [X0,X1] :
( id(X1,sK2(X0))
| ~ id(X1,X0)
| ~ r1(X0)
| r1(sK1(X0)) )
| ~ spl20_22
| ~ spl20_98 ),
inference(resolution,[],[f880,f223]) ).
fof(f223,plain,
( ! [X0,X1] :
( ~ id(X0,X1)
| ~ r1(X0)
| r1(X1) )
| ~ spl20_22 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f3777,plain,
( spl20_308
| ~ spl20_28
| ~ spl20_94 ),
inference(avatar_split_clause,[],[f859,f797,f271,f3775]) ).
fof(f3775,plain,
( spl20_308
<=> ! [X0,X1] :
( ~ id(X0,sK1(X1))
| id(X0,sK8(sK0(X1)))
| r1(sK2(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_308])]) ).
fof(f271,plain,
( spl20_28
<=> ! [X0] :
( r2(sK0(X0),sK1(X0))
| r1(sK2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_28])]) ).
fof(f797,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(f859,plain,
( ! [X0,X1] :
( ~ id(X0,sK1(X1))
| id(X0,sK8(sK0(X1)))
| r1(sK2(X1)) )
| ~ spl20_28
| ~ spl20_94 ),
inference(resolution,[],[f798,f272]) ).
fof(f272,plain,
( ! [X0] :
( r2(sK0(X0),sK1(X0))
| r1(sK2(X0)) )
| ~ spl20_28 ),
inference(avatar_component_clause,[],[f271]) ).
fof(f798,plain,
( ! [X2,X0,X1] :
( ~ r2(X1,X2)
| ~ id(X0,X2)
| id(X0,sK8(X1)) )
| ~ spl20_94 ),
inference(avatar_component_clause,[],[f797]) ).
fof(f3773,plain,
( spl20_307
| ~ spl20_38
| ~ spl20_86 ),
inference(avatar_split_clause,[],[f770,f719,f319,f3771]) ).
fof(f3771,plain,
( spl20_307
<=> ! [X0,X3,X2,X1] :
( ~ r3(X0,X1,sK18(X2,X3))
| r3(X2,X3,sK18(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_307])]) ).
fof(f319,plain,
( spl20_38
<=> ! [X0,X1,X3] :
( ~ id(X3,sK18(X0,X1))
| r3(X0,X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_38])]) ).
fof(f719,plain,
( spl20_86
<=> ! [X2,X0,X1] :
( ~ r3(X0,X1,X2)
| id(sK18(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_86])]) ).
fof(f770,plain,
( ! [X2,X3,X0,X1] :
( ~ r3(X0,X1,sK18(X2,X3))
| r3(X2,X3,sK18(X0,X1)) )
| ~ spl20_38
| ~ spl20_86 ),
inference(resolution,[],[f720,f320]) ).
fof(f320,plain,
( ! [X3,X0,X1] :
( ~ id(X3,sK18(X0,X1))
| r3(X0,X1,X3) )
| ~ spl20_38 ),
inference(avatar_component_clause,[],[f319]) ).
fof(f720,plain,
( ! [X2,X0,X1] :
( id(sK18(X0,X1),X2)
| ~ r3(X0,X1,X2) )
| ~ spl20_86 ),
inference(avatar_component_clause,[],[f719]) ).
fof(f3769,plain,
( spl20_306
| ~ spl20_35
| ~ spl20_86 ),
inference(avatar_split_clause,[],[f769,f719,f307,f3767]) ).
fof(f3767,plain,
( spl20_306
<=> ! [X0,X3,X2,X1] :
( ~ r3(X0,X1,sK17(X2,X3))
| r4(X2,X3,sK18(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_306])]) ).
fof(f307,plain,
( spl20_35
<=> ! [X0,X1,X3] :
( ~ id(X3,sK17(X0,X1))
| r4(X0,X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_35])]) ).
fof(f769,plain,
( ! [X2,X3,X0,X1] :
( ~ r3(X0,X1,sK17(X2,X3))
| r4(X2,X3,sK18(X0,X1)) )
| ~ spl20_35
| ~ spl20_86 ),
inference(resolution,[],[f720,f308]) ).
fof(f308,plain,
( ! [X3,X0,X1] :
( ~ id(X3,sK17(X0,X1))
| r4(X0,X1,X3) )
| ~ spl20_35 ),
inference(avatar_component_clause,[],[f307]) ).
fof(f3765,plain,
( spl20_305
| ~ spl20_84
| ~ spl20_86 ),
inference(avatar_split_clause,[],[f762,f719,f711,f3763]) ).
fof(f3763,plain,
( spl20_305
<=> ! [X2,X0,X1] :
( ~ r3(X0,X1,sK1(X2))
| ~ r1(sK18(X0,X1))
| r1(sK2(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_305])]) ).
fof(f711,plain,
( spl20_84
<=> ! [X0,X1] :
( ~ r1(X0)
| ~ id(X0,sK1(X1))
| r1(sK2(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_84])]) ).
fof(f762,plain,
( ! [X2,X0,X1] :
( ~ r3(X0,X1,sK1(X2))
| ~ r1(sK18(X0,X1))
| r1(sK2(X2)) )
| ~ spl20_84
| ~ spl20_86 ),
inference(resolution,[],[f720,f712]) ).
fof(f712,plain,
( ! [X0,X1] :
( ~ id(X0,sK1(X1))
| ~ r1(X0)
| r1(sK2(X1)) )
| ~ spl20_84 ),
inference(avatar_component_clause,[],[f711]) ).
fof(f3760,plain,
( spl20_304
| ~ spl20_39
| ~ spl20_86 ),
inference(avatar_split_clause,[],[f758,f719,f323,f3758]) ).
fof(f3758,plain,
( spl20_304
<=> ! [X0,X3,X2,X1] :
( ~ r3(X0,X1,X2)
| id(X3,X2)
| ~ id(X3,sK18(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_304])]) ).
fof(f323,plain,
( spl20_39
<=> ! [X2,X0,X1] :
( ~ id(X1,X2)
| id(X0,X2)
| ~ id(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_39])]) ).
fof(f758,plain,
( ! [X2,X3,X0,X1] :
( ~ r3(X0,X1,X2)
| id(X3,X2)
| ~ id(X3,sK18(X0,X1)) )
| ~ spl20_39
| ~ spl20_86 ),
inference(resolution,[],[f720,f324]) ).
fof(f324,plain,
( ! [X2,X0,X1] :
( ~ id(X1,X2)
| id(X0,X2)
| ~ id(X0,X1) )
| ~ spl20_39 ),
inference(avatar_component_clause,[],[f323]) ).
fof(f3756,plain,
( spl20_303
| ~ spl20_38
| ~ spl20_85 ),
inference(avatar_split_clause,[],[f755,f715,f319,f3754]) ).
fof(f3754,plain,
( spl20_303
<=> ! [X0,X3,X2,X1] :
( ~ r4(X0,X1,sK18(X2,X3))
| r3(X2,X3,sK17(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_303])]) ).
fof(f715,plain,
( spl20_85
<=> ! [X2,X0,X1] :
( ~ r4(X0,X1,X2)
| id(sK17(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_85])]) ).
fof(f755,plain,
( ! [X2,X3,X0,X1] :
( ~ r4(X0,X1,sK18(X2,X3))
| r3(X2,X3,sK17(X0,X1)) )
| ~ spl20_38
| ~ spl20_85 ),
inference(resolution,[],[f716,f320]) ).
fof(f716,plain,
( ! [X2,X0,X1] :
( id(sK17(X0,X1),X2)
| ~ r4(X0,X1,X2) )
| ~ spl20_85 ),
inference(avatar_component_clause,[],[f715]) ).
fof(f3752,plain,
( spl20_302
| ~ spl20_35
| ~ spl20_85 ),
inference(avatar_split_clause,[],[f754,f715,f307,f3750]) ).
fof(f3750,plain,
( spl20_302
<=> ! [X0,X3,X2,X1] :
( ~ r4(X0,X1,sK17(X2,X3))
| r4(X2,X3,sK17(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_302])]) ).
fof(f754,plain,
( ! [X2,X3,X0,X1] :
( ~ r4(X0,X1,sK17(X2,X3))
| r4(X2,X3,sK17(X0,X1)) )
| ~ spl20_35
| ~ spl20_85 ),
inference(resolution,[],[f716,f308]) ).
fof(f3748,plain,
( spl20_301
| ~ spl20_84
| ~ spl20_85 ),
inference(avatar_split_clause,[],[f747,f715,f711,f3746]) ).
fof(f3746,plain,
( spl20_301
<=> ! [X2,X0,X1] :
( ~ r4(X0,X1,sK1(X2))
| ~ r1(sK17(X0,X1))
| r1(sK2(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_301])]) ).
fof(f747,plain,
( ! [X2,X0,X1] :
( ~ r4(X0,X1,sK1(X2))
| ~ r1(sK17(X0,X1))
| r1(sK2(X2)) )
| ~ spl20_84
| ~ spl20_85 ),
inference(resolution,[],[f716,f712]) ).
fof(f3744,plain,
( spl20_300
| ~ spl20_39
| ~ spl20_85 ),
inference(avatar_split_clause,[],[f743,f715,f323,f3742]) ).
fof(f3742,plain,
( spl20_300
<=> ! [X0,X3,X2,X1] :
( ~ r4(X0,X1,X2)
| id(X3,X2)
| ~ id(X3,sK17(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_300])]) ).
fof(f743,plain,
( ! [X2,X3,X0,X1] :
( ~ r4(X0,X1,X2)
| id(X3,X2)
| ~ id(X3,sK17(X0,X1)) )
| ~ spl20_39
| ~ spl20_85 ),
inference(resolution,[],[f716,f324]) ).
fof(f3740,plain,
( spl20_299
| ~ spl20_39
| ~ spl20_83 ),
inference(avatar_split_clause,[],[f723,f707,f323,f3738]) ).
fof(f3738,plain,
( spl20_299
<=> ! [X0,X1] :
( ~ r1(sK2(X0))
| r1(X0)
| id(X1,sK1(X0))
| ~ id(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_299])]) ).
fof(f707,plain,
( spl20_83
<=> ! [X0] :
( id(X0,sK1(X0))
| ~ r1(sK2(X0))
| r1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_83])]) ).
fof(f723,plain,
( ! [X0,X1] :
( ~ r1(sK2(X0))
| r1(X0)
| id(X1,sK1(X0))
| ~ id(X1,X0) )
| ~ spl20_39
| ~ spl20_83 ),
inference(resolution,[],[f708,f324]) ).
fof(f708,plain,
( ! [X0] :
( id(X0,sK1(X0))
| ~ r1(sK2(X0))
| r1(X0) )
| ~ spl20_83 ),
inference(avatar_component_clause,[],[f707]) ).
fof(f3736,plain,
( spl20_298
| ~ spl20_79
| ~ spl20_80 ),
inference(avatar_split_clause,[],[f682,f642,f638,f3734]) ).
fof(f3734,plain,
( spl20_298
<=> ! [X0] :
( id(sK2(sK5(X0)),sK6(X0))
| id(sK5(X0),sK1(sK5(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_298])]) ).
fof(f638,plain,
( spl20_79
<=> ! [X0] :
( id(X0,sK1(X0))
| id(sK2(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_79])]) ).
fof(f642,plain,
( spl20_80
<=> ! [X0,X1] :
( id(X0,sK6(X1))
| ~ id(X0,sK5(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_80])]) ).
fof(f682,plain,
( ! [X0] :
( id(sK2(sK5(X0)),sK6(X0))
| id(sK5(X0),sK1(sK5(X0))) )
| ~ spl20_79
| ~ spl20_80 ),
inference(resolution,[],[f643,f639]) ).
fof(f639,plain,
( ! [X0] :
( id(sK2(X0),X0)
| id(X0,sK1(X0)) )
| ~ spl20_79 ),
inference(avatar_component_clause,[],[f638]) ).
fof(f643,plain,
( ! [X0,X1] :
( ~ id(X0,sK5(X1))
| id(X0,sK6(X1)) )
| ~ spl20_80 ),
inference(avatar_component_clause,[],[f642]) ).
fof(f3732,plain,
( spl20_297
| ~ spl20_38
| ~ spl20_61 ),
inference(avatar_split_clause,[],[f562,f513,f319,f3730]) ).
fof(f3730,plain,
( spl20_297
<=> ! [X0,X1] :
( r1(sK2(sK18(X0,X1)))
| r3(X0,X1,sK1(sK18(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_297])]) ).
fof(f513,plain,
( spl20_61
<=> ! [X0] :
( r1(sK2(X0))
| id(sK1(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_61])]) ).
fof(f562,plain,
( ! [X0,X1] :
( r1(sK2(sK18(X0,X1)))
| r3(X0,X1,sK1(sK18(X0,X1))) )
| ~ spl20_38
| ~ spl20_61 ),
inference(resolution,[],[f514,f320]) ).
fof(f514,plain,
( ! [X0] :
( id(sK1(X0),X0)
| r1(sK2(X0)) )
| ~ spl20_61 ),
inference(avatar_component_clause,[],[f513]) ).
fof(f3728,plain,
( spl20_296
| ~ spl20_35
| ~ spl20_61 ),
inference(avatar_split_clause,[],[f561,f513,f307,f3726]) ).
fof(f3726,plain,
( spl20_296
<=> ! [X0,X1] :
( r1(sK2(sK17(X0,X1)))
| r4(X0,X1,sK1(sK17(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_296])]) ).
fof(f561,plain,
( ! [X0,X1] :
( r1(sK2(sK17(X0,X1)))
| r4(X0,X1,sK1(sK17(X0,X1))) )
| ~ spl20_35
| ~ spl20_61 ),
inference(resolution,[],[f514,f308]) ).
fof(f3710,plain,
( spl20_295
| ~ spl20_3
| ~ spl20_294 ),
inference(avatar_split_clause,[],[f3403,f3269,f136,f3708]) ).
fof(f3269,plain,
( spl20_294
<=> ! [X0,X1] :
( ~ r1(X0)
| ~ r2(X0,X1)
| ~ r1(sK7(sK8(X1)))
| ~ r1(sK6(sK8(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_294])]) ).
fof(f3403,plain,
( ! [X0,X1] :
( ~ r2(X0,X1)
| ~ r1(X0)
| ~ r1(sK6(sK8(X1))) )
| ~ spl20_3
| ~ spl20_294 ),
inference(resolution,[],[f3270,f137]) ).
fof(f3270,plain,
( ! [X0,X1] :
( ~ r1(sK7(sK8(X1)))
| ~ r2(X0,X1)
| ~ r1(X0)
| ~ r1(sK6(sK8(X1))) )
| ~ spl20_294 ),
inference(avatar_component_clause,[],[f3269]) ).
fof(f3271,plain,
( spl20_294
| ~ spl20_41
| ~ spl20_268 ),
inference(avatar_split_clause,[],[f3181,f3032,f355,f3269]) ).
fof(f355,plain,
( spl20_41
<=> ! [X0] : r2(X0,sK8(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_41])]) ).
fof(f3032,plain,
( spl20_268
<=> ! [X2,X0,X1] :
( ~ r1(X0)
| ~ r2(X1,X2)
| ~ r2(X0,X1)
| ~ r1(sK7(X2))
| ~ r1(sK6(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_268])]) ).
fof(f3181,plain,
( ! [X0,X1] :
( ~ r1(X0)
| ~ r2(X0,X1)
| ~ r1(sK7(sK8(X1)))
| ~ r1(sK6(sK8(X1))) )
| ~ spl20_41
| ~ spl20_268 ),
inference(resolution,[],[f3033,f356]) ).
fof(f356,plain,
( ! [X0] : r2(X0,sK8(X0))
| ~ spl20_41 ),
inference(avatar_component_clause,[],[f355]) ).
fof(f3033,plain,
( ! [X2,X0,X1] :
( ~ r2(X1,X2)
| ~ r1(X0)
| ~ r2(X0,X1)
| ~ r1(sK7(X2))
| ~ r1(sK6(X2)) )
| ~ spl20_268 ),
inference(avatar_component_clause,[],[f3032]) ).
fof(f3218,plain,
( spl20_293
| ~ spl20_36
| ~ spl20_120 ),
inference(avatar_split_clause,[],[f1226,f1120,f311,f3216]) ).
fof(f3216,plain,
( spl20_293
<=> ! [X2,X0,X1] :
( r3(X0,X1,X2)
| ~ id(X1,sK4(X2))
| ~ id(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_293])]) ).
fof(f1226,plain,
( ! [X2,X0,X1] :
( r3(X0,X1,X2)
| ~ id(X1,sK4(X2))
| ~ id(X0,X2) )
| ~ spl20_36
| ~ spl20_120 ),
inference(resolution,[],[f1121,f312]) ).
fof(f3214,plain,
( spl20_292
| ~ spl20_1
| ~ spl20_112 ),
inference(avatar_split_clause,[],[f1078,f1046,f128,f3212]) ).
fof(f3212,plain,
( spl20_292
<=> ! [X0,X1] :
( r2(X0,sK1(X1))
| ~ id(sK0(X1),X0)
| r1(sK2(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_292])]) ).
fof(f1078,plain,
( ! [X0,X1] :
( r2(X0,sK1(X1))
| ~ id(sK0(X1),X0)
| r1(sK2(X1)) )
| ~ spl20_1
| ~ spl20_112 ),
inference(resolution,[],[f1047,f129]) ).
fof(f3210,plain,
( spl20_291
| ~ spl20_1
| ~ spl20_111 ),
inference(avatar_split_clause,[],[f1067,f1042,f128,f3208]) ).
fof(f3208,plain,
( spl20_291
<=> ! [X0,X1] :
( r2(X0,sK1(X1))
| ~ id(X0,sK0(X1))
| r1(sK2(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_291])]) ).
fof(f1067,plain,
( ! [X0,X1] :
( r2(X0,sK1(X1))
| ~ id(X0,sK0(X1))
| r1(sK2(X1)) )
| ~ spl20_1
| ~ spl20_111 ),
inference(resolution,[],[f1043,f129]) ).
fof(f3206,plain,
( spl20_290
| ~ spl20_1
| ~ spl20_110 ),
inference(avatar_split_clause,[],[f1053,f1038,f128,f3204]) ).
fof(f3204,plain,
( spl20_290
<=> ! [X0,X1] :
( ~ r2(X0,sK1(X1))
| id(X0,sK0(X1))
| r1(sK2(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_290])]) ).
fof(f1053,plain,
( ! [X0,X1] :
( ~ r2(X0,sK1(X1))
| id(X0,sK0(X1))
| r1(sK2(X1)) )
| ~ spl20_1
| ~ spl20_110 ),
inference(resolution,[],[f1039,f129]) ).
fof(f3202,plain,
( spl20_289
| ~ spl20_36
| ~ spl20_109 ),
inference(avatar_split_clause,[],[f1032,f1004,f311,f3200]) ).
fof(f3200,plain,
( spl20_289
<=> ! [X2,X0,X1] :
( ~ id(sK13(X0,X1),X2)
| r2(sK3(sK14(X0,X1)),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_289])]) ).
fof(f1032,plain,
( ! [X2,X0,X1] :
( ~ id(sK13(X0,X1),X2)
| r2(sK3(sK14(X0,X1)),X2) )
| ~ spl20_36
| ~ spl20_109 ),
inference(resolution,[],[f1005,f312]) ).
fof(f3198,plain,
( spl20_288
| ~ spl20_5
| ~ spl20_108 ),
inference(avatar_split_clause,[],[f1020,f1000,f144,f3196]) ).
fof(f3196,plain,
( spl20_288
<=> ! [X2,X0,X1] :
( r2(X0,sK3(sK13(X1,X2)))
| ~ id(X0,sK14(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_288])]) ).
fof(f1000,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(f1020,plain,
( ! [X2,X0,X1] :
( r2(X0,sK3(sK13(X1,X2)))
| ~ id(X0,sK14(X1,X2)) )
| ~ spl20_5
| ~ spl20_108 ),
inference(resolution,[],[f1001,f145]) ).
fof(f1001,plain,
( ! [X2,X3,X0,X1] :
( ~ id(X1,sK13(X2,X3))
| r2(X0,X1)
| ~ id(X0,sK14(X2,X3)) )
| ~ spl20_108 ),
inference(avatar_component_clause,[],[f1000]) ).
fof(f3194,plain,
( spl20_287
| ~ spl20_5
| ~ spl20_107 ),
inference(avatar_split_clause,[],[f1011,f996,f144,f3192]) ).
fof(f3192,plain,
( spl20_287
<=> ! [X2,X0,X1] :
( ~ r2(X0,sK3(sK13(X1,X2)))
| id(X0,sK14(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_287])]) ).
fof(f996,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(f1011,plain,
( ! [X2,X0,X1] :
( ~ r2(X0,sK3(sK13(X1,X2)))
| id(X0,sK14(X1,X2)) )
| ~ spl20_5
| ~ spl20_107 ),
inference(resolution,[],[f997,f145]) ).
fof(f997,plain,
( ! [X2,X3,X0,X1] :
( ~ id(X3,sK13(X1,X2))
| ~ r2(X0,X3)
| id(X0,sK14(X1,X2)) )
| ~ spl20_107 ),
inference(avatar_component_clause,[],[f996]) ).
fof(f3174,plain,
( spl20_286
| ~ spl20_15
| ~ spl20_98 ),
inference(avatar_split_clause,[],[f918,f879,f188,f3172]) ).
fof(f3172,plain,
( spl20_286
<=> ! [X0,X1] :
( id(X1,sK1(X1))
| ~ id(X0,X1)
| id(sK2(X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_286])]) ).
fof(f188,plain,
( spl20_15
<=> ! [X0,X1] :
( id(X1,X0)
| ~ id(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_15])]) ).
fof(f918,plain,
( ! [X0,X1] :
( id(X1,sK1(X1))
| ~ id(X0,X1)
| id(sK2(X1),X0) )
| ~ spl20_15
| ~ spl20_98 ),
inference(resolution,[],[f880,f189]) ).
fof(f189,plain,
( ! [X0,X1] :
( ~ id(X0,X1)
| id(X1,X0) )
| ~ spl20_15 ),
inference(avatar_component_clause,[],[f188]) ).
fof(f3170,plain,
( spl20_285
| ~ spl20_15
| ~ spl20_98 ),
inference(avatar_split_clause,[],[f912,f879,f188,f3168]) ).
fof(f3168,plain,
( spl20_285
<=> ! [X0,X1] :
( id(X1,sK2(X0))
| ~ id(X1,X0)
| id(sK1(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_285])]) ).
fof(f912,plain,
( ! [X0,X1] :
( id(X1,sK2(X0))
| ~ id(X1,X0)
| id(sK1(X0),X0) )
| ~ spl20_15
| ~ spl20_98 ),
inference(resolution,[],[f880,f189]) ).
fof(f3166,plain,
( spl20_284
| ~ spl20_62
| ~ spl20_97 ),
inference(avatar_split_clause,[],[f875,f809,f517,f3164]) ).
fof(f3164,plain,
( spl20_284
<=> ! [X2,X0,X1] :
( id(sK8(X0),sK13(X1,X2))
| ~ r2(X0,sK15(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_284])]) ).
fof(f809,plain,
( spl20_97
<=> ! [X2,X0,X1] :
( id(X0,sK13(X1,X2))
| ~ id(X0,sK15(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_97])]) ).
fof(f875,plain,
( ! [X2,X0,X1] :
( id(sK8(X0),sK13(X1,X2))
| ~ r2(X0,sK15(X1,X2)) )
| ~ spl20_62
| ~ spl20_97 ),
inference(resolution,[],[f810,f518]) ).
fof(f810,plain,
( ! [X2,X0,X1] :
( ~ id(X0,sK15(X1,X2))
| id(X0,sK13(X1,X2)) )
| ~ spl20_97 ),
inference(avatar_component_clause,[],[f809]) ).
fof(f3162,plain,
( spl20_283
| ~ spl20_62
| ~ spl20_95 ),
inference(avatar_split_clause,[],[f866,f801,f517,f3160]) ).
fof(f3160,plain,
( spl20_283
<=> ! [X2,X0,X1] :
( id(sK8(X0),sK9(X1,X2))
| ~ r2(X0,sK11(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_283])]) ).
fof(f801,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(f866,plain,
( ! [X2,X0,X1] :
( id(sK8(X0),sK9(X1,X2))
| ~ r2(X0,sK11(X1,X2)) )
| ~ spl20_62
| ~ spl20_95 ),
inference(resolution,[],[f802,f518]) ).
fof(f802,plain,
( ! [X2,X0,X1] :
( ~ id(X0,sK11(X1,X2))
| id(X0,sK9(X1,X2)) )
| ~ spl20_95 ),
inference(avatar_component_clause,[],[f801]) ).
fof(f3158,plain,
( spl20_282
| ~ spl20_25
| ~ spl20_94 ),
inference(avatar_split_clause,[],[f857,f797,f234,f3156]) ).
fof(f3156,plain,
( spl20_282
<=> ! [X2,X0,X1] :
( ~ id(X0,sK13(X1,X2))
| id(X0,sK8(sK14(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_282])]) ).
fof(f234,plain,
( spl20_25
<=> ! [X0,X1] : r2(sK14(X0,X1),sK13(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_25])]) ).
fof(f857,plain,
( ! [X2,X0,X1] :
( ~ id(X0,sK13(X1,X2))
| id(X0,sK8(sK14(X1,X2))) )
| ~ spl20_25
| ~ spl20_94 ),
inference(resolution,[],[f798,f235]) ).
fof(f235,plain,
( ! [X0,X1] : r2(sK14(X0,X1),sK13(X0,X1))
| ~ spl20_25 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f3154,plain,
( spl20_281
| ~ spl20_80
| ~ spl20_86 ),
inference(avatar_split_clause,[],[f764,f719,f642,f3152]) ).
fof(f3152,plain,
( spl20_281
<=> ! [X2,X0,X1] :
( ~ r3(X0,X1,sK5(X2))
| id(sK18(X0,X1),sK6(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_281])]) ).
fof(f764,plain,
( ! [X2,X0,X1] :
( ~ r3(X0,X1,sK5(X2))
| id(sK18(X0,X1),sK6(X2)) )
| ~ spl20_80
| ~ spl20_86 ),
inference(resolution,[],[f720,f643]) ).
fof(f3150,plain,
( spl20_280
| ~ spl20_81
| ~ spl20_86 ),
inference(avatar_split_clause,[],[f757,f719,f646,f3148]) ).
fof(f3148,plain,
( spl20_280
<=> ! [X2,X0,X1] :
( ~ r3(X0,X1,X2)
| id(sK18(X0,X1),sK19)
| ~ r1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_280])]) ).
fof(f646,plain,
( spl20_81
<=> ! [X0,X1] :
( id(X0,sK19)
| ~ id(X0,X1)
| ~ r1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_81])]) ).
fof(f757,plain,
( ! [X2,X0,X1] :
( ~ r3(X0,X1,X2)
| id(sK18(X0,X1),sK19)
| ~ r1(X2) )
| ~ spl20_81
| ~ spl20_86 ),
inference(resolution,[],[f720,f647]) ).
fof(f647,plain,
( ! [X0,X1] :
( ~ id(X0,X1)
| id(X0,sK19)
| ~ r1(X1) )
| ~ spl20_81 ),
inference(avatar_component_clause,[],[f646]) ).
fof(f3146,plain,
( spl20_279
| ~ spl20_80
| ~ spl20_85 ),
inference(avatar_split_clause,[],[f749,f715,f642,f3144]) ).
fof(f3144,plain,
( spl20_279
<=> ! [X2,X0,X1] :
( ~ r4(X0,X1,sK5(X2))
| id(sK17(X0,X1),sK6(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_279])]) ).
fof(f749,plain,
( ! [X2,X0,X1] :
( ~ r4(X0,X1,sK5(X2))
| id(sK17(X0,X1),sK6(X2)) )
| ~ spl20_80
| ~ spl20_85 ),
inference(resolution,[],[f716,f643]) ).
fof(f3142,plain,
( spl20_278
| ~ spl20_81
| ~ spl20_85 ),
inference(avatar_split_clause,[],[f742,f715,f646,f3140]) ).
fof(f3140,plain,
( spl20_278
<=> ! [X2,X0,X1] :
( ~ r4(X0,X1,X2)
| id(sK17(X0,X1),sK19)
| ~ r1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_278])]) ).
fof(f742,plain,
( ! [X2,X0,X1] :
( ~ r4(X0,X1,X2)
| id(sK17(X0,X1),sK19)
| ~ r1(X2) )
| ~ spl20_81
| ~ spl20_85 ),
inference(resolution,[],[f716,f647]) ).
fof(f3138,plain,
( spl20_277
| ~ spl20_37
| ~ spl20_81 ),
inference(avatar_split_clause,[],[f703,f646,f315,f3136]) ).
fof(f3136,plain,
( spl20_277
<=> ! [X2,X0,X1] :
( id(X0,sK19)
| ~ r1(sK18(X1,X2))
| ~ r3(X1,X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_277])]) ).
fof(f315,plain,
( spl20_37
<=> ! [X0,X1,X3] :
( ~ r3(X0,X1,X3)
| id(X3,sK18(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_37])]) ).
fof(f703,plain,
( ! [X2,X0,X1] :
( id(X0,sK19)
| ~ r1(sK18(X1,X2))
| ~ r3(X1,X2,X0) )
| ~ spl20_37
| ~ spl20_81 ),
inference(resolution,[],[f647,f316]) ).
fof(f316,plain,
( ! [X3,X0,X1] :
( id(X3,sK18(X0,X1))
| ~ r3(X0,X1,X3) )
| ~ spl20_37 ),
inference(avatar_component_clause,[],[f315]) ).
fof(f3134,plain,
( spl20_276
| ~ spl20_9
| ~ spl20_226 ),
inference(avatar_split_clause,[],[f2834,f2319,f160,f3132]) ).
fof(f3132,plain,
( spl20_276
<=> ! [X2,X0,X1] :
( ~ r1(X0)
| ~ r2(X1,X2)
| ~ r2(X0,X1)
| ~ r1(sK7(X2))
| ~ r1(sK5(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_276])]) ).
fof(f2319,plain,
( spl20_226
<=> ! [X2,X0,X1] :
( ~ r1(sK7(X0))
| ~ r1(X1)
| ~ r2(X2,X0)
| ~ r2(X1,X2)
| ~ id(sK5(X0),sK19) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_226])]) ).
fof(f2834,plain,
( ! [X2,X0,X1] :
( ~ r1(X0)
| ~ r2(X1,X2)
| ~ r2(X0,X1)
| ~ r1(sK7(X2))
| ~ r1(sK5(X2)) )
| ~ spl20_9
| ~ spl20_226 ),
inference(resolution,[],[f2320,f161]) ).
fof(f2320,plain,
( ! [X2,X0,X1] :
( ~ id(sK5(X0),sK19)
| ~ r1(X1)
| ~ r2(X2,X0)
| ~ r2(X1,X2)
| ~ r1(sK7(X0)) )
| ~ spl20_226 ),
inference(avatar_component_clause,[],[f2319]) ).
fof(f3130,plain,
( spl20_275
| ~ spl20_34
| ~ spl20_81 ),
inference(avatar_split_clause,[],[f702,f646,f303,f3128]) ).
fof(f3128,plain,
( spl20_275
<=> ! [X2,X0,X1] :
( id(X0,sK19)
| ~ r1(sK17(X1,X2))
| ~ r4(X1,X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_275])]) ).
fof(f303,plain,
( spl20_34
<=> ! [X0,X1,X3] :
( ~ r4(X0,X1,X3)
| id(X3,sK17(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_34])]) ).
fof(f702,plain,
( ! [X2,X0,X1] :
( id(X0,sK19)
| ~ r1(sK17(X1,X2))
| ~ r4(X1,X2,X0) )
| ~ spl20_34
| ~ spl20_81 ),
inference(resolution,[],[f647,f304]) ).
fof(f304,plain,
( ! [X3,X0,X1] :
( id(X3,sK17(X0,X1))
| ~ r4(X0,X1,X3) )
| ~ spl20_34 ),
inference(avatar_component_clause,[],[f303]) ).
fof(f3126,plain,
( spl20_274
| ~ spl20_20
| ~ spl20_79 ),
inference(avatar_split_clause,[],[f672,f638,f214,f3124]) ).
fof(f3124,plain,
( spl20_274
<=> ! [X0] :
( id(sK8(X0),sK1(sK8(X0)))
| r2(X0,sK2(sK8(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_274])]) ).
fof(f214,plain,
( spl20_20
<=> ! [X2,X0] :
( ~ id(X2,sK8(X0))
| r2(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_20])]) ).
fof(f672,plain,
( ! [X0] :
( id(sK8(X0),sK1(sK8(X0)))
| r2(X0,sK2(sK8(X0))) )
| ~ spl20_20
| ~ spl20_79 ),
inference(resolution,[],[f639,f215]) ).
fof(f215,plain,
( ! [X2,X0] :
( ~ id(X2,sK8(X0))
| r2(X0,X2) )
| ~ spl20_20 ),
inference(avatar_component_clause,[],[f214]) ).
fof(f3122,plain,
( spl20_273
| ~ spl20_71
| ~ spl20_79 ),
inference(avatar_split_clause,[],[f671,f638,f553,f3120]) ).
fof(f3120,plain,
( spl20_273
<=> ! [X0] :
( id(sK3(X0),sK1(sK3(X0)))
| id(sK2(sK3(X0)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_273])]) ).
fof(f553,plain,
( spl20_71
<=> ! [X0,X1] :
( id(X0,X1)
| ~ id(X0,sK3(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_71])]) ).
fof(f671,plain,
( ! [X0] :
( id(sK3(X0),sK1(sK3(X0)))
| id(sK2(sK3(X0)),X0) )
| ~ spl20_71
| ~ spl20_79 ),
inference(resolution,[],[f639,f554]) ).
fof(f554,plain,
( ! [X0,X1] :
( ~ id(X0,sK3(X1))
| id(X0,X1) )
| ~ spl20_71 ),
inference(avatar_component_clause,[],[f553]) ).
fof(f3118,plain,
( spl20_272
| ~ spl20_39
| ~ spl20_79 ),
inference(avatar_split_clause,[],[f667,f638,f323,f3116]) ).
fof(f3116,plain,
( spl20_272
<=> ! [X0,X1] :
( id(X0,sK1(X0))
| id(X1,X0)
| ~ id(X1,sK2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_272])]) ).
fof(f667,plain,
( ! [X0,X1] :
( id(X0,sK1(X0))
| id(X1,X0)
| ~ id(X1,sK2(X0)) )
| ~ spl20_39
| ~ spl20_79 ),
inference(resolution,[],[f639,f324]) ).
fof(f3114,plain,
( spl20_271
| ~ spl20_40
| ~ spl20_53 ),
inference(avatar_split_clause,[],[f477,f451,f351,f3112]) ).
fof(f3112,plain,
( spl20_271
<=> ! [X2,X0,X1] :
( id(X0,X1)
| ~ r2(X0,X2)
| ~ id(X2,sK3(sK8(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_271])]) ).
fof(f351,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(f477,plain,
( ! [X2,X0,X1] :
( id(X0,X1)
| ~ r2(X0,X2)
| ~ id(X2,sK3(sK8(X1))) )
| ~ spl20_40
| ~ spl20_53 ),
inference(resolution,[],[f452,f352]) ).
fof(f352,plain,
( ! [X2,X3,X0,X1] :
( ~ r2(X1,X2)
| id(X0,X1)
| ~ r2(X0,X3)
| ~ id(X3,X2) )
| ~ spl20_40 ),
inference(avatar_component_clause,[],[f351]) ).
fof(f3110,plain,
( spl20_270
| ~ spl20_42
| ~ spl20_53 ),
inference(avatar_split_clause,[],[f476,f451,f359,f3108]) ).
fof(f3108,plain,
( spl20_270
<=> ! [X2,X0,X1] :
( r2(X0,X1)
| ~ id(X1,sK3(sK8(X2)))
| ~ id(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_270])]) ).
fof(f359,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(f476,plain,
( ! [X2,X0,X1] :
( r2(X0,X1)
| ~ id(X1,sK3(sK8(X2)))
| ~ id(X0,X2) )
| ~ spl20_42
| ~ spl20_53 ),
inference(resolution,[],[f452,f360]) ).
fof(f360,plain,
( ! [X2,X3,X0,X1] :
( ~ r2(X2,X3)
| r2(X0,X1)
| ~ id(X1,X3)
| ~ id(X0,X2) )
| ~ spl20_42 ),
inference(avatar_component_clause,[],[f359]) ).
fof(f3106,plain,
( spl20_269
| ~ spl20_43
| ~ spl20_53 ),
inference(avatar_split_clause,[],[f475,f451,f363,f3104]) ).
fof(f3104,plain,
( spl20_269
<=> ! [X2,X0,X1] :
( r2(X0,X1)
| ~ id(sK3(sK8(X2)),X1)
| ~ id(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_269])]) ).
fof(f363,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(f475,plain,
( ! [X2,X0,X1] :
( r2(X0,X1)
| ~ id(sK3(sK8(X2)),X1)
| ~ id(X2,X0) )
| ~ spl20_43
| ~ spl20_53 ),
inference(resolution,[],[f452,f364]) ).
fof(f364,plain,
( ! [X2,X3,X0,X1] :
( ~ r2(X0,X1)
| r2(X2,X3)
| ~ id(X1,X3)
| ~ id(X0,X2) )
| ~ spl20_43 ),
inference(avatar_component_clause,[],[f363]) ).
fof(f3034,plain,
( spl20_268
| ~ spl20_176
| ~ spl20_226 ),
inference(avatar_split_clause,[],[f2833,f2319,f1841,f3032]) ).
fof(f1841,plain,
( spl20_176
<=> ! [X0] :
( id(sK5(X0),sK19)
| ~ r1(sK6(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_176])]) ).
fof(f2833,plain,
( ! [X2,X0,X1] :
( ~ r1(X0)
| ~ r2(X1,X2)
| ~ r2(X0,X1)
| ~ r1(sK7(X2))
| ~ r1(sK6(X2)) )
| ~ spl20_176
| ~ spl20_226 ),
inference(resolution,[],[f2320,f1842]) ).
fof(f1842,plain,
( ! [X0] :
( id(sK5(X0),sK19)
| ~ r1(sK6(X0)) )
| ~ spl20_176 ),
inference(avatar_component_clause,[],[f1841]) ).
fof(f2615,plain,
( spl20_267
| ~ spl20_61
| ~ spl20_112 ),
inference(avatar_split_clause,[],[f1090,f1046,f513,f2613]) ).
fof(f2613,plain,
( spl20_267
<=> ! [X0,X1] :
( r2(X0,X1)
| ~ id(sK0(X1),X0)
| r1(sK2(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_267])]) ).
fof(f1090,plain,
( ! [X0,X1] :
( r2(X0,X1)
| ~ id(sK0(X1),X0)
| r1(sK2(X1)) )
| ~ spl20_61
| ~ spl20_112 ),
inference(duplicate_literal_removal,[],[f1077]) ).
fof(f1077,plain,
( ! [X0,X1] :
( r2(X0,X1)
| ~ id(sK0(X1),X0)
| r1(sK2(X1))
| r1(sK2(X1)) )
| ~ spl20_61
| ~ spl20_112 ),
inference(resolution,[],[f1047,f514]) ).
fof(f2611,plain,
( spl20_266
| ~ spl20_18
| ~ spl20_111 ),
inference(avatar_split_clause,[],[f1076,f1042,f206,f2609]) ).
fof(f2609,plain,
( spl20_266
<=> ! [X0,X1] :
( r2(X0,X1)
| ~ id(X0,sK0(X1))
| r1(sK2(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_266])]) ).
fof(f206,plain,
( spl20_18
<=> ! [X0] :
( id(X0,sK1(X0))
| r1(sK2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_18])]) ).
fof(f1076,plain,
( ! [X0,X1] :
( r2(X0,X1)
| ~ id(X0,sK0(X1))
| r1(sK2(X1)) )
| ~ spl20_18
| ~ spl20_111 ),
inference(duplicate_literal_removal,[],[f1065]) ).
fof(f1065,plain,
( ! [X0,X1] :
( r2(X0,X1)
| ~ id(X0,sK0(X1))
| r1(sK2(X1))
| r1(sK2(X1)) )
| ~ spl20_18
| ~ spl20_111 ),
inference(resolution,[],[f1043,f207]) ).
fof(f207,plain,
( ! [X0] :
( id(X0,sK1(X0))
| r1(sK2(X0)) )
| ~ spl20_18 ),
inference(avatar_component_clause,[],[f206]) ).
fof(f2607,plain,
( spl20_265
| ~ spl20_18
| ~ spl20_110 ),
inference(avatar_split_clause,[],[f1062,f1038,f206,f2605]) ).
fof(f2605,plain,
( spl20_265
<=> ! [X0,X1] :
( ~ r2(X0,X1)
| id(X0,sK0(X1))
| r1(sK2(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_265])]) ).
fof(f1062,plain,
( ! [X0,X1] :
( ~ r2(X0,X1)
| id(X0,sK0(X1))
| r1(sK2(X1)) )
| ~ spl20_18
| ~ spl20_110 ),
inference(duplicate_literal_removal,[],[f1051]) ).
fof(f1051,plain,
( ! [X0,X1] :
( ~ r2(X0,X1)
| id(X0,sK0(X1))
| r1(sK2(X1))
| r1(sK2(X1)) )
| ~ spl20_18
| ~ spl20_110 ),
inference(resolution,[],[f1039,f207]) ).
fof(f2603,plain,
( spl20_264
| ~ spl20_37
| ~ spl20_209 ),
inference(avatar_split_clause,[],[f2559,f2109,f315,f2601]) ).
fof(f2601,plain,
( spl20_264
<=> ! [X0,X3,X2,X1] :
( ~ r2(X0,X1)
| ~ r2(X2,X0)
| ~ r1(X2)
| ~ r3(sK7(X1),X3,sK5(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_264])]) ).
fof(f2109,plain,
( spl20_209
<=> ! [X0,X3,X2,X1] :
( ~ r1(X0)
| ~ r2(X1,X2)
| ~ r2(X0,X1)
| ~ id(sK5(X2),sK18(sK7(X2),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_209])]) ).
fof(f2559,plain,
( ! [X2,X3,X0,X1] :
( ~ r2(X0,X1)
| ~ r2(X2,X0)
| ~ r1(X2)
| ~ r3(sK7(X1),X3,sK5(X1)) )
| ~ spl20_37
| ~ spl20_209 ),
inference(resolution,[],[f2110,f316]) ).
fof(f2110,plain,
( ! [X2,X3,X0,X1] :
( ~ id(sK5(X2),sK18(sK7(X2),X3))
| ~ r2(X1,X2)
| ~ r2(X0,X1)
| ~ r1(X0) )
| ~ spl20_209 ),
inference(avatar_component_clause,[],[f2109]) ).
fof(f2599,plain,
( spl20_263
| ~ spl20_1
| ~ spl20_109 ),
inference(avatar_split_clause,[],[f1025,f1004,f128,f2597]) ).
fof(f2597,plain,
( spl20_263
<=> ! [X2,X0,X1] :
( ~ id(sK13(X0,X1),X2)
| r2(sK14(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_263])]) ).
fof(f1025,plain,
( ! [X2,X0,X1] :
( ~ id(sK13(X0,X1),X2)
| r2(sK14(X0,X1),X2) )
| ~ spl20_1
| ~ spl20_109 ),
inference(resolution,[],[f1005,f129]) ).
fof(f2595,plain,
( spl20_262
| ~ spl20_1
| ~ spl20_108 ),
inference(avatar_split_clause,[],[f1017,f1000,f128,f2593]) ).
fof(f2593,plain,
( spl20_262
<=> ! [X2,X0,X1] :
( r2(X0,sK13(X1,X2))
| ~ id(X0,sK14(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_262])]) ).
fof(f1017,plain,
( ! [X2,X0,X1] :
( r2(X0,sK13(X1,X2))
| ~ id(X0,sK14(X1,X2)) )
| ~ spl20_1
| ~ spl20_108 ),
inference(resolution,[],[f1001,f129]) ).
fof(f2591,plain,
( spl20_261
| ~ spl20_24
| ~ spl20_108 ),
inference(avatar_split_clause,[],[f1016,f1000,f230,f2589]) ).
fof(f2589,plain,
( spl20_261
<=> ! [X2,X0,X1] :
( r2(X0,sK15(X1,X2))
| ~ id(X0,sK14(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_261])]) ).
fof(f230,plain,
( spl20_24
<=> ! [X0,X1] : id(sK15(X0,X1),sK13(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_24])]) ).
fof(f1016,plain,
( ! [X2,X0,X1] :
( r2(X0,sK15(X1,X2))
| ~ id(X0,sK14(X1,X2)) )
| ~ spl20_24
| ~ spl20_108 ),
inference(resolution,[],[f1001,f231]) ).
fof(f231,plain,
( ! [X0,X1] : id(sK15(X0,X1),sK13(X0,X1))
| ~ spl20_24 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f2587,plain,
( spl20_260
| ~ spl20_1
| ~ spl20_107 ),
inference(avatar_split_clause,[],[f1008,f996,f128,f2585]) ).
fof(f2585,plain,
( spl20_260
<=> ! [X2,X0,X1] :
( ~ r2(X0,sK13(X1,X2))
| id(X0,sK14(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_260])]) ).
fof(f1008,plain,
( ! [X2,X0,X1] :
( ~ r2(X0,sK13(X1,X2))
| id(X0,sK14(X1,X2)) )
| ~ spl20_1
| ~ spl20_107 ),
inference(resolution,[],[f997,f129]) ).
fof(f2583,plain,
( spl20_259
| ~ spl20_24
| ~ spl20_107 ),
inference(avatar_split_clause,[],[f1007,f996,f230,f2581]) ).
fof(f2581,plain,
( spl20_259
<=> ! [X2,X0,X1] :
( ~ r2(X0,sK15(X1,X2))
| id(X0,sK14(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_259])]) ).
fof(f1007,plain,
( ! [X2,X0,X1] :
( ~ r2(X0,sK15(X1,X2))
| id(X0,sK14(X1,X2)) )
| ~ spl20_24
| ~ spl20_107 ),
inference(resolution,[],[f997,f231]) ).
fof(f2579,plain,
( spl20_258
| ~ spl20_17
| ~ spl20_106 ),
inference(avatar_split_clause,[],[f990,f981,f196,f2577]) ).
fof(f2577,plain,
( spl20_258
<=> ! [X2,X0,X1] :
( ~ id(X0,sK14(X1,X2))
| id(X0,sK18(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_258])]) ).
fof(f196,plain,
( spl20_17
<=> ! [X0,X1] : r3(X0,X1,sK14(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_17])]) ).
fof(f990,plain,
( ! [X2,X0,X1] :
( ~ id(X0,sK14(X1,X2))
| id(X0,sK18(X1,X2)) )
| ~ spl20_17
| ~ spl20_106 ),
inference(resolution,[],[f982,f197]) ).
fof(f197,plain,
( ! [X0,X1] : r3(X0,X1,sK14(X0,X1))
| ~ spl20_17 ),
inference(avatar_component_clause,[],[f196]) ).
fof(f2575,plain,
( spl20_257
| ~ spl20_12
| ~ spl20_106 ),
inference(avatar_split_clause,[],[f989,f981,f175,f2573]) ).
fof(f2573,plain,
( spl20_257
<=> ! [X0,X1] :
( ~ id(X0,sK3(X1))
| id(X0,sK18(X1,sK4(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_257])]) ).
fof(f175,plain,
( spl20_12
<=> ! [X0] : r3(X0,sK4(X0),sK3(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_12])]) ).
fof(f989,plain,
( ! [X0,X1] :
( ~ id(X0,sK3(X1))
| id(X0,sK18(X1,sK4(X1))) )
| ~ spl20_12
| ~ spl20_106 ),
inference(resolution,[],[f982,f176]) ).
fof(f176,plain,
( ! [X0] : r3(X0,sK4(X0),sK3(X0))
| ~ spl20_12 ),
inference(avatar_component_clause,[],[f175]) ).
fof(f2571,plain,
( spl20_256
| ~ spl20_16
| ~ spl20_105 ),
inference(avatar_split_clause,[],[f985,f977,f192,f2569]) ).
fof(f2569,plain,
( spl20_256
<=> ! [X2,X0,X1] :
( ~ id(X0,sK10(X1,X2))
| id(X0,sK17(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_256])]) ).
fof(f192,plain,
( spl20_16
<=> ! [X0,X1] : r4(X0,X1,sK10(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_16])]) ).
fof(f985,plain,
( ! [X2,X0,X1] :
( ~ id(X0,sK10(X1,X2))
| id(X0,sK17(X1,X2)) )
| ~ spl20_16
| ~ spl20_105 ),
inference(resolution,[],[f978,f193]) ).
fof(f193,plain,
( ! [X0,X1] : r4(X0,X1,sK10(X0,X1))
| ~ spl20_16 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f2567,plain,
( spl20_255
| ~ spl20_14
| ~ spl20_105 ),
inference(avatar_split_clause,[],[f984,f977,f184,f2565]) ).
fof(f2565,plain,
( spl20_255
<=> ! [X0,X1] :
( ~ id(X0,sK5(X1))
| id(X0,sK17(X1,sK7(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_255])]) ).
fof(f184,plain,
( spl20_14
<=> ! [X0] : r4(X0,sK7(X0),sK5(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_14])]) ).
fof(f984,plain,
( ! [X0,X1] :
( ~ id(X0,sK5(X1))
| id(X0,sK17(X1,sK7(X1))) )
| ~ spl20_14
| ~ spl20_105 ),
inference(resolution,[],[f978,f185]) ).
fof(f185,plain,
( ! [X0] : r4(X0,sK7(X0),sK5(X0))
| ~ spl20_14 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f2563,plain,
( spl20_254
| ~ spl20_15
| ~ spl20_93 ),
inference(avatar_split_clause,[],[f850,f793,f188,f2561]) ).
fof(f2561,plain,
( spl20_254
<=> ! [X0,X1] :
( ~ id(X0,X1)
| r1(sK2(X1))
| id(sK1(X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_254])]) ).
fof(f793,plain,
( spl20_93
<=> ! [X0,X1] :
( id(X0,sK1(X1))
| ~ id(X0,X1)
| r1(sK2(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_93])]) ).
fof(f850,plain,
( ! [X0,X1] :
( ~ id(X0,X1)
| r1(sK2(X1))
| id(sK1(X1),X0) )
| ~ spl20_15
| ~ spl20_93 ),
inference(resolution,[],[f794,f189]) ).
fof(f794,plain,
( ! [X0,X1] :
( id(X0,sK1(X1))
| ~ id(X0,X1)
| r1(sK2(X1)) )
| ~ spl20_93 ),
inference(avatar_component_clause,[],[f793]) ).
fof(f2558,plain,
( spl20_253
| ~ spl20_31
| ~ spl20_92 ),
inference(avatar_split_clause,[],[f843,f789,f283,f2556]) ).
fof(f2556,plain,
( spl20_253
<=> ! [X0,X1] :
( ~ r1(sK18(sK10(X0,X1),X0))
| r1(sK9(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_253])]) ).
fof(f789,plain,
( spl20_92
<=> ! [X2,X0,X1] :
( ~ r3(X0,X1,X2)
| ~ r1(sK18(X0,X1))
| r1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_92])]) ).
fof(f843,plain,
( ! [X0,X1] :
( ~ r1(sK18(sK10(X0,X1),X0))
| r1(sK9(X0,X1)) )
| ~ spl20_31
| ~ spl20_92 ),
inference(resolution,[],[f790,f284]) ).
fof(f790,plain,
( ! [X2,X0,X1] :
( ~ r3(X0,X1,X2)
| ~ r1(sK18(X0,X1))
| r1(X2) )
| ~ spl20_92 ),
inference(avatar_component_clause,[],[f789]) ).
fof(f2554,plain,
( spl20_252
| ~ spl20_32
| ~ spl20_92 ),
inference(avatar_split_clause,[],[f842,f789,f287,f2552]) ).
fof(f2552,plain,
( spl20_252
<=> ! [X0,X1] :
( ~ r1(sK18(X0,sK16(X0,X1)))
| r1(sK15(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_252])]) ).
fof(f842,plain,
( ! [X0,X1] :
( ~ r1(sK18(X0,sK16(X0,X1)))
| r1(sK15(X0,X1)) )
| ~ spl20_32
| ~ spl20_92 ),
inference(resolution,[],[f790,f288]) ).
fof(f2550,plain,
( spl20_251
| ~ spl20_31
| ~ spl20_91 ),
inference(avatar_split_clause,[],[f837,f785,f283,f2548]) ).
fof(f2548,plain,
( spl20_251
<=> ! [X0,X1] :
( ~ r1(sK9(X0,X1))
| r1(sK18(sK10(X0,X1),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_251])]) ).
fof(f785,plain,
( spl20_91
<=> ! [X2,X0,X1] :
( ~ r3(X0,X1,X2)
| ~ r1(X2)
| r1(sK18(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_91])]) ).
fof(f837,plain,
( ! [X0,X1] :
( ~ r1(sK9(X0,X1))
| r1(sK18(sK10(X0,X1),X0)) )
| ~ spl20_31
| ~ spl20_91 ),
inference(resolution,[],[f786,f284]) ).
fof(f786,plain,
( ! [X2,X0,X1] :
( ~ r3(X0,X1,X2)
| ~ r1(X2)
| r1(sK18(X0,X1)) )
| ~ spl20_91 ),
inference(avatar_component_clause,[],[f785]) ).
fof(f2546,plain,
( spl20_250
| ~ spl20_30
| ~ spl20_90 ),
inference(avatar_split_clause,[],[f831,f781,f279,f2544]) ).
fof(f2544,plain,
( spl20_250
<=> ! [X0,X1] :
( ~ r1(sK17(X0,sK12(X0,X1)))
| r1(sK11(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_250])]) ).
fof(f781,plain,
( spl20_90
<=> ! [X2,X0,X1] :
( ~ r4(X0,X1,X2)
| ~ r1(sK17(X0,X1))
| r1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_90])]) ).
fof(f831,plain,
( ! [X0,X1] :
( ~ r1(sK17(X0,sK12(X0,X1)))
| r1(sK11(X0,X1)) )
| ~ spl20_30
| ~ spl20_90 ),
inference(resolution,[],[f782,f280]) ).
fof(f782,plain,
( ! [X2,X0,X1] :
( ~ r4(X0,X1,X2)
| ~ r1(sK17(X0,X1))
| r1(X2) )
| ~ spl20_90 ),
inference(avatar_component_clause,[],[f781]) ).
fof(f2542,plain,
( spl20_249
| ~ spl20_30
| ~ spl20_89 ),
inference(avatar_split_clause,[],[f826,f777,f279,f2540]) ).
fof(f2540,plain,
( spl20_249
<=> ! [X0,X1] :
( ~ r1(sK11(X0,X1))
| r1(sK17(X0,sK12(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_249])]) ).
fof(f777,plain,
( spl20_89
<=> ! [X2,X0,X1] :
( ~ r4(X0,X1,X2)
| ~ r1(X2)
| r1(sK17(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_89])]) ).
fof(f826,plain,
( ! [X0,X1] :
( ~ r1(sK11(X0,X1))
| r1(sK17(X0,sK12(X0,X1))) )
| ~ spl20_30
| ~ spl20_89 ),
inference(resolution,[],[f778,f280]) ).
fof(f778,plain,
( ! [X2,X0,X1] :
( ~ r4(X0,X1,X2)
| ~ r1(X2)
| r1(sK17(X0,X1)) )
| ~ spl20_89 ),
inference(avatar_component_clause,[],[f777]) ).
fof(f2538,plain,
( spl20_248
| ~ spl20_67
| ~ spl20_86 ),
inference(avatar_split_clause,[],[f768,f719,f537,f2536]) ).
fof(f2536,plain,
( spl20_248
<=> ! [X0,X3,X2,X1] :
( ~ r3(X0,X1,sK16(X2,X3))
| ~ r1(sK18(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_248])]) ).
fof(f537,plain,
( spl20_67
<=> ! [X2,X0,X1] :
( ~ r1(X0)
| ~ id(X0,sK16(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_67])]) ).
fof(f768,plain,
( ! [X2,X3,X0,X1] :
( ~ r3(X0,X1,sK16(X2,X3))
| ~ r1(sK18(X0,X1)) )
| ~ spl20_67
| ~ spl20_86 ),
inference(resolution,[],[f720,f538]) ).
fof(f538,plain,
( ! [X2,X0,X1] :
( ~ id(X0,sK16(X1,X2))
| ~ r1(X0) )
| ~ spl20_67 ),
inference(avatar_component_clause,[],[f537]) ).
fof(f2534,plain,
( spl20_247
| ~ spl20_68
| ~ spl20_86 ),
inference(avatar_split_clause,[],[f767,f719,f541,f2532]) ).
fof(f2532,plain,
( spl20_247
<=> ! [X0,X3,X2,X1] :
( ~ r3(X0,X1,sK13(X2,X3))
| ~ r1(sK18(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_247])]) ).
fof(f541,plain,
( spl20_68
<=> ! [X2,X0,X1] :
( ~ r1(X0)
| ~ id(X0,sK13(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_68])]) ).
fof(f767,plain,
( ! [X2,X3,X0,X1] :
( ~ r3(X0,X1,sK13(X2,X3))
| ~ r1(sK18(X0,X1)) )
| ~ spl20_68
| ~ spl20_86 ),
inference(resolution,[],[f720,f542]) ).
fof(f542,plain,
( ! [X2,X0,X1] :
( ~ id(X0,sK13(X1,X2))
| ~ r1(X0) )
| ~ spl20_68 ),
inference(avatar_component_clause,[],[f541]) ).
fof(f2530,plain,
( spl20_246
| ~ spl20_66
| ~ spl20_86 ),
inference(avatar_split_clause,[],[f766,f719,f533,f2528]) ).
fof(f2528,plain,
( spl20_246
<=> ! [X0,X3,X2,X1] :
( ~ r3(X0,X1,sK12(X2,X3))
| ~ r1(sK18(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_246])]) ).
fof(f533,plain,
( spl20_66
<=> ! [X2,X0,X1] :
( ~ r1(X0)
| ~ id(X0,sK12(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_66])]) ).
fof(f766,plain,
( ! [X2,X3,X0,X1] :
( ~ r3(X0,X1,sK12(X2,X3))
| ~ r1(sK18(X0,X1)) )
| ~ spl20_66
| ~ spl20_86 ),
inference(resolution,[],[f720,f534]) ).
fof(f534,plain,
( ! [X2,X0,X1] :
( ~ id(X0,sK12(X1,X2))
| ~ r1(X0) )
| ~ spl20_66 ),
inference(avatar_component_clause,[],[f533]) ).
fof(f2526,plain,
( spl20_245
| ~ spl20_20
| ~ spl20_86 ),
inference(avatar_split_clause,[],[f765,f719,f214,f2524]) ).
fof(f2524,plain,
( spl20_245
<=> ! [X2,X0,X1] :
( ~ r3(X0,X1,sK8(X2))
| r2(X2,sK18(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_245])]) ).
fof(f765,plain,
( ! [X2,X0,X1] :
( ~ r3(X0,X1,sK8(X2))
| r2(X2,sK18(X0,X1)) )
| ~ spl20_20
| ~ spl20_86 ),
inference(resolution,[],[f720,f215]) ).
fof(f2522,plain,
( spl20_244
| ~ spl20_71
| ~ spl20_86 ),
inference(avatar_split_clause,[],[f763,f719,f553,f2520]) ).
fof(f2520,plain,
( spl20_244
<=> ! [X2,X0,X1] :
( ~ r3(X0,X1,sK3(X2))
| id(sK18(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_244])]) ).
fof(f763,plain,
( ! [X2,X0,X1] :
( ~ r3(X0,X1,sK3(X2))
| id(sK18(X0,X1),X2) )
| ~ spl20_71
| ~ spl20_86 ),
inference(resolution,[],[f720,f554]) ).
fof(f2518,plain,
( spl20_243
| ~ spl20_67
| ~ spl20_85 ),
inference(avatar_split_clause,[],[f753,f715,f537,f2516]) ).
fof(f2516,plain,
( spl20_243
<=> ! [X0,X3,X2,X1] :
( ~ r4(X0,X1,sK16(X2,X3))
| ~ r1(sK17(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_243])]) ).
fof(f753,plain,
( ! [X2,X3,X0,X1] :
( ~ r4(X0,X1,sK16(X2,X3))
| ~ r1(sK17(X0,X1)) )
| ~ spl20_67
| ~ spl20_85 ),
inference(resolution,[],[f716,f538]) ).
fof(f2514,plain,
( spl20_242
| ~ spl20_68
| ~ spl20_85 ),
inference(avatar_split_clause,[],[f752,f715,f541,f2512]) ).
fof(f2512,plain,
( spl20_242
<=> ! [X0,X3,X2,X1] :
( ~ r4(X0,X1,sK13(X2,X3))
| ~ r1(sK17(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_242])]) ).
fof(f752,plain,
( ! [X2,X3,X0,X1] :
( ~ r4(X0,X1,sK13(X2,X3))
| ~ r1(sK17(X0,X1)) )
| ~ spl20_68
| ~ spl20_85 ),
inference(resolution,[],[f716,f542]) ).
fof(f2510,plain,
( spl20_241
| ~ spl20_66
| ~ spl20_85 ),
inference(avatar_split_clause,[],[f751,f715,f533,f2508]) ).
fof(f2508,plain,
( spl20_241
<=> ! [X0,X3,X2,X1] :
( ~ r4(X0,X1,sK12(X2,X3))
| ~ r1(sK17(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_241])]) ).
fof(f751,plain,
( ! [X2,X3,X0,X1] :
( ~ r4(X0,X1,sK12(X2,X3))
| ~ r1(sK17(X0,X1)) )
| ~ spl20_66
| ~ spl20_85 ),
inference(resolution,[],[f716,f534]) ).
fof(f2506,plain,
( spl20_240
| ~ spl20_20
| ~ spl20_85 ),
inference(avatar_split_clause,[],[f750,f715,f214,f2504]) ).
fof(f2504,plain,
( spl20_240
<=> ! [X2,X0,X1] :
( ~ r4(X0,X1,sK8(X2))
| r2(X2,sK17(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_240])]) ).
fof(f750,plain,
( ! [X2,X0,X1] :
( ~ r4(X0,X1,sK8(X2))
| r2(X2,sK17(X0,X1)) )
| ~ spl20_20
| ~ spl20_85 ),
inference(resolution,[],[f716,f215]) ).
fof(f2502,plain,
( spl20_239
| ~ spl20_71
| ~ spl20_85 ),
inference(avatar_split_clause,[],[f748,f715,f553,f2500]) ).
fof(f2500,plain,
( spl20_239
<=> ! [X2,X0,X1] :
( ~ r4(X0,X1,sK3(X2))
| id(sK17(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_239])]) ).
fof(f748,plain,
( ! [X2,X0,X1] :
( ~ r4(X0,X1,sK3(X2))
| id(sK17(X0,X1),X2) )
| ~ spl20_71
| ~ spl20_85 ),
inference(resolution,[],[f716,f554]) ).
fof(f2498,plain,
( spl20_238
| ~ spl20_27
| ~ spl20_81 ),
inference(avatar_split_clause,[],[f693,f646,f267,f2496]) ).
fof(f2496,plain,
( spl20_238
<=> ! [X0] :
( id(X0,sK19)
| ~ r1(sK2(X0))
| id(X0,sK1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_238])]) ).
fof(f267,plain,
( spl20_27
<=> ! [X0] :
( id(X0,sK1(X0))
| id(X0,sK2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_27])]) ).
fof(f693,plain,
( ! [X0] :
( id(X0,sK19)
| ~ r1(sK2(X0))
| id(X0,sK1(X0)) )
| ~ spl20_27
| ~ spl20_81 ),
inference(resolution,[],[f647,f268]) ).
fof(f268,plain,
( ! [X0] :
( id(X0,sK2(X0))
| id(X0,sK1(X0)) )
| ~ spl20_27 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f2494,plain,
( spl20_237
| ~ spl20_79
| ~ spl20_81 ),
inference(avatar_split_clause,[],[f688,f646,f638,f2492]) ).
fof(f2492,plain,
( spl20_237
<=> ! [X0] :
( id(sK2(X0),sK19)
| ~ r1(X0)
| id(X0,sK1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_237])]) ).
fof(f688,plain,
( ! [X0] :
( id(sK2(X0),sK19)
| ~ r1(X0)
| id(X0,sK1(X0)) )
| ~ spl20_79
| ~ spl20_81 ),
inference(resolution,[],[f647,f639]) ).
fof(f2490,plain,
( spl20_236
| ~ spl20_61
| ~ spl20_80 ),
inference(avatar_split_clause,[],[f681,f642,f513,f2488]) ).
fof(f2488,plain,
( spl20_236
<=> ! [X0] :
( id(sK1(sK5(X0)),sK6(X0))
| r1(sK2(sK5(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_236])]) ).
fof(f681,plain,
( ! [X0] :
( id(sK1(sK5(X0)),sK6(X0))
| r1(sK2(sK5(X0))) )
| ~ spl20_61
| ~ spl20_80 ),
inference(resolution,[],[f643,f514]) ).
fof(f2486,plain,
( spl20_235
| ~ spl20_39
| ~ spl20_64 ),
inference(avatar_split_clause,[],[f576,f525,f323,f2484]) ).
fof(f2484,plain,
( spl20_235
<=> ! [X2,X0,X1] :
( id(X0,sK15(X1,X2))
| ~ id(X0,sK13(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_235])]) ).
fof(f525,plain,
( spl20_64
<=> ! [X0,X1] : id(sK13(X0,X1),sK15(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_64])]) ).
fof(f576,plain,
( ! [X2,X0,X1] :
( id(X0,sK15(X1,X2))
| ~ id(X0,sK13(X1,X2)) )
| ~ spl20_39
| ~ spl20_64 ),
inference(resolution,[],[f526,f324]) ).
fof(f526,plain,
( ! [X0,X1] : id(sK13(X0,X1),sK15(X0,X1))
| ~ spl20_64 ),
inference(avatar_component_clause,[],[f525]) ).
fof(f2482,plain,
( spl20_234
| ~ spl20_39
| ~ spl20_63 ),
inference(avatar_split_clause,[],[f572,f521,f323,f2480]) ).
fof(f2480,plain,
( spl20_234
<=> ! [X2,X0,X1] :
( id(X0,sK11(X1,X2))
| ~ id(X0,sK9(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_234])]) ).
fof(f521,plain,
( spl20_63
<=> ! [X0,X1] : id(sK9(X0,X1),sK11(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_63])]) ).
fof(f572,plain,
( ! [X2,X0,X1] :
( id(X0,sK11(X1,X2))
| ~ id(X0,sK9(X1,X2)) )
| ~ spl20_39
| ~ spl20_63 ),
inference(resolution,[],[f522,f324]) ).
fof(f522,plain,
( ! [X0,X1] : id(sK9(X0,X1),sK11(X0,X1))
| ~ spl20_63 ),
inference(avatar_component_clause,[],[f521]) ).
fof(f2478,plain,
( spl20_233
| ~ spl20_38
| ~ spl20_62 ),
inference(avatar_split_clause,[],[f570,f517,f319,f2476]) ).
fof(f2476,plain,
( spl20_233
<=> ! [X2,X0,X1] :
( ~ r2(X0,sK18(X1,X2))
| r3(X1,X2,sK8(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_233])]) ).
fof(f570,plain,
( ! [X2,X0,X1] :
( ~ r2(X0,sK18(X1,X2))
| r3(X1,X2,sK8(X0)) )
| ~ spl20_38
| ~ spl20_62 ),
inference(resolution,[],[f518,f320]) ).
fof(f2474,plain,
( spl20_232
| ~ spl20_35
| ~ spl20_62 ),
inference(avatar_split_clause,[],[f569,f517,f307,f2472]) ).
fof(f2472,plain,
( spl20_232
<=> ! [X2,X0,X1] :
( ~ r2(X0,sK17(X1,X2))
| r4(X1,X2,sK8(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_232])]) ).
fof(f569,plain,
( ! [X2,X0,X1] :
( ~ r2(X0,sK17(X1,X2))
| r4(X1,X2,sK8(X0)) )
| ~ spl20_35
| ~ spl20_62 ),
inference(resolution,[],[f518,f308]) ).
fof(f2470,plain,
( spl20_231
| ~ spl20_39
| ~ spl20_62 ),
inference(avatar_split_clause,[],[f564,f517,f323,f2468]) ).
fof(f2468,plain,
( spl20_231
<=> ! [X2,X0,X1] :
( ~ r2(X0,X1)
| id(X2,X1)
| ~ id(X2,sK8(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_231])]) ).
fof(f564,plain,
( ! [X2,X0,X1] :
( ~ r2(X0,X1)
| id(X2,X1)
| ~ id(X2,sK8(X0)) )
| ~ spl20_39
| ~ spl20_62 ),
inference(resolution,[],[f518,f324]) ).
fof(f2466,plain,
( spl20_230
| ~ spl20_39
| ~ spl20_61 ),
inference(avatar_split_clause,[],[f556,f513,f323,f2464]) ).
fof(f2464,plain,
( spl20_230
<=> ! [X0,X1] :
( r1(sK2(X0))
| id(X1,X0)
| ~ id(X1,sK1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_230])]) ).
fof(f556,plain,
( ! [X0,X1] :
( r1(sK2(X0))
| id(X1,X0)
| ~ id(X1,sK1(X0)) )
| ~ spl20_39
| ~ spl20_61 ),
inference(resolution,[],[f514,f324]) ).
fof(f2462,plain,
( spl20_229
| ~ spl20_40
| ~ spl20_41 ),
inference(avatar_split_clause,[],[f417,f355,f351,f2460]) ).
fof(f2460,plain,
( spl20_229
<=> ! [X2,X0,X1] :
( id(X0,X1)
| ~ r2(X0,X2)
| ~ id(X2,sK8(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_229])]) ).
fof(f417,plain,
( ! [X2,X0,X1] :
( id(X0,X1)
| ~ r2(X0,X2)
| ~ id(X2,sK8(X1)) )
| ~ spl20_40
| ~ spl20_41 ),
inference(resolution,[],[f356,f352]) ).
fof(f2458,plain,
( spl20_228
| ~ spl20_41
| ~ spl20_42 ),
inference(avatar_split_clause,[],[f416,f359,f355,f2456]) ).
fof(f2456,plain,
( spl20_228
<=> ! [X2,X0,X1] :
( r2(X0,X1)
| ~ id(X1,sK8(X2))
| ~ id(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_228])]) ).
fof(f416,plain,
( ! [X2,X0,X1] :
( r2(X0,X1)
| ~ id(X1,sK8(X2))
| ~ id(X0,X2) )
| ~ spl20_41
| ~ spl20_42 ),
inference(resolution,[],[f356,f360]) ).
fof(f2454,plain,
( spl20_227
| ~ spl20_41
| ~ spl20_43 ),
inference(avatar_split_clause,[],[f415,f363,f355,f2452]) ).
fof(f2452,plain,
( spl20_227
<=> ! [X2,X0,X1] :
( r2(X0,X1)
| ~ id(sK8(X2),X1)
| ~ id(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_227])]) ).
fof(f415,plain,
( ! [X2,X0,X1] :
( r2(X0,X1)
| ~ id(sK8(X2),X1)
| ~ id(X2,X0) )
| ~ spl20_41
| ~ spl20_43 ),
inference(resolution,[],[f356,f364]) ).
fof(f2321,plain,
( spl20_226
| ~ spl20_52
| ~ spl20_164 ),
inference(avatar_split_clause,[],[f1756,f1724,f447,f2319]) ).
fof(f447,plain,
( spl20_52
<=> ! [X0,X3,X2,X1] :
( ~ r2(X0,X1)
| ~ r1(X0)
| ~ r2(X1,X2)
| ~ id(sK3(sK7(X2)),X3)
| ~ id(sK5(X2),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_52])]) ).
fof(f1724,plain,
( spl20_164
<=> ! [X0] :
( id(sK3(X0),sK19)
| ~ r1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_164])]) ).
fof(f1756,plain,
( ! [X2,X0,X1] :
( ~ r1(sK7(X0))
| ~ r1(X1)
| ~ r2(X2,X0)
| ~ r2(X1,X2)
| ~ id(sK5(X0),sK19) )
| ~ spl20_52
| ~ spl20_164 ),
inference(resolution,[],[f1725,f448]) ).
fof(f448,plain,
( ! [X2,X3,X0,X1] :
( ~ id(sK3(sK7(X2)),X3)
| ~ r1(X0)
| ~ r2(X1,X2)
| ~ r2(X0,X1)
| ~ id(sK5(X2),X3) )
| ~ spl20_52 ),
inference(avatar_component_clause,[],[f447]) ).
fof(f1725,plain,
( ! [X0] :
( id(sK3(X0),sK19)
| ~ r1(X0) )
| ~ spl20_164 ),
inference(avatar_component_clause,[],[f1724]) ).
fof(f2263,plain,
( spl20_225
| ~ spl20_36
| ~ spl20_104 ),
inference(avatar_split_clause,[],[f971,f903,f311,f2261]) ).
fof(f2261,plain,
( spl20_225
<=> ! [X2,X0,X1] :
( r2(X0,sK3(sK16(X1,X2)))
| ~ id(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_225])]) ).
fof(f971,plain,
( ! [X2,X0,X1] :
( r2(X0,sK3(sK16(X1,X2)))
| ~ id(X2,X0) )
| ~ spl20_36
| ~ spl20_104 ),
inference(resolution,[],[f904,f312]) ).
fof(f2259,plain,
( spl20_224
| ~ spl20_36
| ~ spl20_103 ),
inference(avatar_split_clause,[],[f959,f899,f311,f2257]) ).
fof(f2257,plain,
( spl20_224
<=> ! [X2,X0,X1] :
( r2(X0,sK3(sK12(X1,X2)))
| ~ id(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_224])]) ).
fof(f959,plain,
( ! [X2,X0,X1] :
( r2(X0,sK3(sK12(X1,X2)))
| ~ id(X2,X0) )
| ~ spl20_36
| ~ spl20_103 ),
inference(resolution,[],[f900,f312]) ).
fof(f2255,plain,
( spl20_223
| ~ spl20_5
| ~ spl20_102 ),
inference(avatar_split_clause,[],[f947,f895,f144,f2253]) ).
fof(f2253,plain,
( spl20_223
<=> ! [X2,X0,X1] :
( r2(X0,sK3(sK16(X1,X2)))
| ~ id(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_223])]) ).
fof(f947,plain,
( ! [X2,X0,X1] :
( r2(X0,sK3(sK16(X1,X2)))
| ~ id(X0,X2) )
| ~ spl20_5
| ~ spl20_102 ),
inference(resolution,[],[f896,f145]) ).
fof(f2251,plain,
( spl20_222
| ~ spl20_5
| ~ spl20_101 ),
inference(avatar_split_clause,[],[f939,f891,f144,f2249]) ).
fof(f2249,plain,
( spl20_222
<=> ! [X2,X0,X1] :
( r2(X0,sK3(sK12(X1,X2)))
| ~ id(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_222])]) ).
fof(f939,plain,
( ! [X2,X0,X1] :
( r2(X0,sK3(sK12(X1,X2)))
| ~ id(X0,X2) )
| ~ spl20_5
| ~ spl20_101 ),
inference(resolution,[],[f892,f145]) ).
fof(f2247,plain,
( spl20_221
| ~ spl20_5
| ~ spl20_100 ),
inference(avatar_split_clause,[],[f931,f887,f144,f2245]) ).
fof(f2245,plain,
( spl20_221
<=> ! [X2,X0,X1] :
( ~ r2(X0,sK3(sK16(X1,X2)))
| id(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_221])]) ).
fof(f931,plain,
( ! [X2,X0,X1] :
( ~ r2(X0,sK3(sK16(X1,X2)))
| id(X0,X2) )
| ~ spl20_5
| ~ spl20_100 ),
inference(resolution,[],[f888,f145]) ).
fof(f2243,plain,
( spl20_220
| ~ spl20_5
| ~ spl20_99 ),
inference(avatar_split_clause,[],[f923,f883,f144,f2241]) ).
fof(f2241,plain,
( spl20_220
<=> ! [X2,X0,X1] :
( ~ r2(X0,sK3(sK12(X1,X2)))
| id(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_220])]) ).
fof(f923,plain,
( ! [X2,X0,X1] :
( ~ r2(X0,sK3(sK12(X1,X2)))
| id(X0,X2) )
| ~ spl20_5
| ~ spl20_99 ),
inference(resolution,[],[f884,f145]) ).
fof(f2239,plain,
( spl20_219
| ~ spl20_51
| ~ spl20_95 ),
inference(avatar_split_clause,[],[f865,f801,f443,f2237]) ).
fof(f2237,plain,
( spl20_219
<=> ! [X0,X1] :
( id(sK19,sK9(X0,X1))
| ~ r1(sK11(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_219])]) ).
fof(f443,plain,
( spl20_51
<=> ! [X0] :
( id(sK19,X0)
| ~ r1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_51])]) ).
fof(f865,plain,
( ! [X0,X1] :
( id(sK19,sK9(X0,X1))
| ~ r1(sK11(X0,X1)) )
| ~ spl20_51
| ~ spl20_95 ),
inference(resolution,[],[f802,f444]) ).
fof(f444,plain,
( ! [X0] :
( id(sK19,X0)
| ~ r1(X0) )
| ~ spl20_51 ),
inference(avatar_component_clause,[],[f443]) ).
fof(f2235,plain,
( spl20_218
| ~ spl20_8
| ~ spl20_94 ),
inference(avatar_split_clause,[],[f856,f797,f156,f2233]) ).
fof(f2233,plain,
( spl20_218
<=> ! [X2,X0,X1] :
( ~ id(X0,sK16(X1,X2))
| id(X0,sK8(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_218])]) ).
fof(f156,plain,
( spl20_8
<=> ! [X0,X1] : r2(X1,sK16(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_8])]) ).
fof(f856,plain,
( ! [X2,X0,X1] :
( ~ id(X0,sK16(X1,X2))
| id(X0,sK8(X2)) )
| ~ spl20_8
| ~ spl20_94 ),
inference(resolution,[],[f798,f157]) ).
fof(f157,plain,
( ! [X0,X1] : r2(X1,sK16(X0,X1))
| ~ spl20_8 ),
inference(avatar_component_clause,[],[f156]) ).
fof(f2231,plain,
( spl20_217
| ~ spl20_7
| ~ spl20_94 ),
inference(avatar_split_clause,[],[f855,f797,f152,f2229]) ).
fof(f2229,plain,
( spl20_217
<=> ! [X2,X0,X1] :
( ~ id(X0,sK12(X1,X2))
| id(X0,sK8(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_217])]) ).
fof(f152,plain,
( spl20_7
<=> ! [X0,X1] : r2(X1,sK12(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_7])]) ).
fof(f855,plain,
( ! [X2,X0,X1] :
( ~ id(X0,sK12(X1,X2))
| id(X0,sK8(X2)) )
| ~ spl20_7
| ~ spl20_94 ),
inference(resolution,[],[f798,f153]) ).
fof(f153,plain,
( ! [X0,X1] : r2(X1,sK12(X0,X1))
| ~ spl20_7 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f2227,plain,
( spl20_216
| ~ spl20_15
| ~ spl20_83 ),
inference(avatar_split_clause,[],[f726,f707,f188,f2225]) ).
fof(f2225,plain,
( spl20_216
<=> ! [X0] :
( ~ r1(sK2(X0))
| r1(X0)
| id(sK1(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_216])]) ).
fof(f726,plain,
( ! [X0] :
( ~ r1(sK2(X0))
| r1(X0)
| id(sK1(X0),X0) )
| ~ spl20_15
| ~ spl20_83 ),
inference(resolution,[],[f708,f189]) ).
fof(f2223,plain,
( spl20_215
| ~ spl20_63
| ~ spl20_81 ),
inference(avatar_split_clause,[],[f699,f646,f521,f2221]) ).
fof(f2221,plain,
( spl20_215
<=> ! [X0,X1] :
( id(sK9(X0,X1),sK19)
| ~ r1(sK11(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_215])]) ).
fof(f699,plain,
( ! [X0,X1] :
( id(sK9(X0,X1),sK19)
| ~ r1(sK11(X0,X1)) )
| ~ spl20_63
| ~ spl20_81 ),
inference(resolution,[],[f647,f522]) ).
fof(f2219,plain,
( spl20_214
| ~ spl20_23
| ~ spl20_81 ),
inference(avatar_split_clause,[],[f698,f646,f226,f2217]) ).
fof(f2217,plain,
( spl20_214
<=> ! [X0,X1] :
( id(sK11(X0,X1),sK19)
| ~ r1(sK9(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_214])]) ).
fof(f226,plain,
( spl20_23
<=> ! [X0,X1] : id(sK11(X0,X1),sK9(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_23])]) ).
fof(f698,plain,
( ! [X0,X1] :
( id(sK11(X0,X1),sK19)
| ~ r1(sK9(X0,X1)) )
| ~ spl20_23
| ~ spl20_81 ),
inference(resolution,[],[f647,f227]) ).
fof(f227,plain,
( ! [X0,X1] : id(sK11(X0,X1),sK9(X0,X1))
| ~ spl20_23 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f2215,plain,
( spl20_213
| ~ spl20_62
| ~ spl20_80 ),
inference(avatar_split_clause,[],[f685,f642,f517,f2213]) ).
fof(f2213,plain,
( spl20_213
<=> ! [X0,X1] :
( id(sK8(X0),sK6(X1))
| ~ r2(X0,sK5(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_213])]) ).
fof(f685,plain,
( ! [X0,X1] :
( id(sK8(X0),sK6(X1))
| ~ r2(X0,sK5(X1)) )
| ~ spl20_62
| ~ spl20_80 ),
inference(resolution,[],[f643,f518]) ).
fof(f2211,plain,
( spl20_212
| ~ spl20_61
| ~ spl20_71 ),
inference(avatar_split_clause,[],[f605,f553,f513,f2209]) ).
fof(f2209,plain,
( spl20_212
<=> ! [X0] :
( id(sK1(sK3(X0)),X0)
| r1(sK2(sK3(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_212])]) ).
fof(f605,plain,
( ! [X0] :
( id(sK1(sK3(X0)),X0)
| r1(sK2(sK3(X0))) )
| ~ spl20_61
| ~ spl20_71 ),
inference(resolution,[],[f554,f514]) ).
fof(f2207,plain,
( spl20_211
| ~ spl20_20
| ~ spl20_61 ),
inference(avatar_split_clause,[],[f560,f513,f214,f2205]) ).
fof(f2205,plain,
( spl20_211
<=> ! [X0] :
( r1(sK2(sK8(X0)))
| r2(X0,sK1(sK8(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_211])]) ).
fof(f560,plain,
( ! [X0] :
( r1(sK2(sK8(X0)))
| r2(X0,sK1(sK8(X0))) )
| ~ spl20_20
| ~ spl20_61 ),
inference(resolution,[],[f514,f215]) ).
fof(f2122,plain,
( spl20_210
| ~ spl20_5
| ~ spl20_137 ),
inference(avatar_split_clause,[],[f1451,f1438,f144,f2120]) ).
fof(f2120,plain,
( spl20_210
<=> ! [X0,X3,X2,X1] :
( ~ r1(X0)
| ~ r2(X1,X2)
| ~ r2(X0,X1)
| ~ id(sK11(X2,X3),sK12(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_210])]) ).
fof(f1438,plain,
( spl20_137
<=> ! [X4,X0,X3,X2,X1] :
( ~ r2(X0,X1)
| ~ r1(X0)
| ~ r2(X1,X2)
| ~ id(sK3(sK12(X2,X3)),X4)
| ~ id(sK11(X2,X3),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_137])]) ).
fof(f1451,plain,
( ! [X2,X3,X0,X1] :
( ~ r1(X0)
| ~ r2(X1,X2)
| ~ r2(X0,X1)
| ~ id(sK11(X2,X3),sK12(X2,X3)) )
| ~ spl20_5
| ~ spl20_137 ),
inference(resolution,[],[f1439,f145]) ).
fof(f1439,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ id(sK3(sK12(X2,X3)),X4)
| ~ r1(X0)
| ~ r2(X1,X2)
| ~ r2(X0,X1)
| ~ id(sK11(X2,X3),X4) )
| ~ spl20_137 ),
inference(avatar_component_clause,[],[f1438]) ).
fof(f2111,plain,
( spl20_209
| ~ spl20_1
| ~ spl20_134 ),
inference(avatar_split_clause,[],[f1420,f1379,f128,f2109]) ).
fof(f1379,plain,
( spl20_134
<=> ! [X4,X0,X3,X2,X1] :
( ~ r2(X0,X1)
| ~ r1(X0)
| ~ r2(X1,X2)
| ~ id(sK18(sK7(X2),X3),X4)
| ~ id(sK5(X2),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_134])]) ).
fof(f1420,plain,
( ! [X2,X3,X0,X1] :
( ~ r1(X0)
| ~ r2(X1,X2)
| ~ r2(X0,X1)
| ~ id(sK5(X2),sK18(sK7(X2),X3)) )
| ~ spl20_1
| ~ spl20_134 ),
inference(resolution,[],[f1380,f129]) ).
fof(f1380,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ id(sK18(sK7(X2),X3),X4)
| ~ r1(X0)
| ~ r2(X1,X2)
| ~ r2(X0,X1)
| ~ id(sK5(X2),X4) )
| ~ spl20_134 ),
inference(avatar_component_clause,[],[f1379]) ).
fof(f2082,plain,
( spl20_208
| ~ spl20_1
| ~ spl20_104 ),
inference(avatar_split_clause,[],[f964,f903,f128,f2080]) ).
fof(f2080,plain,
( spl20_208
<=> ! [X2,X0,X1] :
( r2(X0,sK16(X1,X2))
| ~ id(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_208])]) ).
fof(f964,plain,
( ! [X2,X0,X1] :
( r2(X0,sK16(X1,X2))
| ~ id(X2,X0) )
| ~ spl20_1
| ~ spl20_104 ),
inference(resolution,[],[f904,f129]) ).
fof(f2078,plain,
( spl20_207
| ~ spl20_1
| ~ spl20_103 ),
inference(avatar_split_clause,[],[f952,f899,f128,f2076]) ).
fof(f2076,plain,
( spl20_207
<=> ! [X2,X0,X1] :
( r2(X0,sK12(X1,X2))
| ~ id(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_207])]) ).
fof(f952,plain,
( ! [X2,X0,X1] :
( r2(X0,sK12(X1,X2))
| ~ id(X2,X0) )
| ~ spl20_1
| ~ spl20_103 ),
inference(resolution,[],[f900,f129]) ).
fof(f2074,plain,
( spl20_206
| ~ spl20_1
| ~ spl20_102 ),
inference(avatar_split_clause,[],[f944,f895,f128,f2072]) ).
fof(f2072,plain,
( spl20_206
<=> ! [X2,X0,X1] :
( r2(X0,sK16(X1,X2))
| ~ id(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_206])]) ).
fof(f944,plain,
( ! [X2,X0,X1] :
( r2(X0,sK16(X1,X2))
| ~ id(X0,X2) )
| ~ spl20_1
| ~ spl20_102 ),
inference(resolution,[],[f896,f129]) ).
fof(f2070,plain,
( spl20_205
| ~ spl20_1
| ~ spl20_101 ),
inference(avatar_split_clause,[],[f936,f891,f128,f2068]) ).
fof(f2068,plain,
( spl20_205
<=> ! [X2,X0,X1] :
( r2(X0,sK12(X1,X2))
| ~ id(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_205])]) ).
fof(f936,plain,
( ! [X2,X0,X1] :
( r2(X0,sK12(X1,X2))
| ~ id(X0,X2) )
| ~ spl20_1
| ~ spl20_101 ),
inference(resolution,[],[f892,f129]) ).
fof(f2066,plain,
( spl20_204
| ~ spl20_1
| ~ spl20_100 ),
inference(avatar_split_clause,[],[f928,f887,f128,f2064]) ).
fof(f2064,plain,
( spl20_204
<=> ! [X2,X0,X1] :
( ~ r2(X0,sK16(X1,X2))
| id(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_204])]) ).
fof(f928,plain,
( ! [X2,X0,X1] :
( ~ r2(X0,sK16(X1,X2))
| id(X0,X2) )
| ~ spl20_1
| ~ spl20_100 ),
inference(resolution,[],[f888,f129]) ).
fof(f2062,plain,
( spl20_203
| ~ spl20_1
| ~ spl20_99 ),
inference(avatar_split_clause,[],[f920,f883,f128,f2060]) ).
fof(f2060,plain,
( spl20_203
<=> ! [X2,X0,X1] :
( ~ r2(X0,sK12(X1,X2))
| id(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_203])]) ).
fof(f920,plain,
( ! [X2,X0,X1] :
( ~ r2(X0,sK12(X1,X2))
| id(X0,X2) )
| ~ spl20_1
| ~ spl20_99 ),
inference(resolution,[],[f884,f129]) ).
fof(f2058,plain,
( spl20_202
| ~ spl20_5
| ~ spl20_97 ),
inference(avatar_split_clause,[],[f873,f809,f144,f2056]) ).
fof(f2056,plain,
( spl20_202
<=> ! [X0,X1] : id(sK3(sK15(X0,X1)),sK13(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_202])]) ).
fof(f873,plain,
( ! [X0,X1] : id(sK3(sK15(X0,X1)),sK13(X0,X1))
| ~ spl20_5
| ~ spl20_97 ),
inference(resolution,[],[f810,f145]) ).
fof(f2054,plain,
( spl20_201
| ~ spl20_24
| ~ spl20_132 ),
inference(avatar_split_clause,[],[f1407,f1371,f230,f2052]) ).
fof(f2052,plain,
( spl20_201
<=> ! [X0,X3,X2,X1] :
( ~ r1(X0)
| ~ r2(X1,X2)
| ~ r2(X0,X1)
| ~ id(sK5(X2),sK13(sK7(X2),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_201])]) ).
fof(f1371,plain,
( spl20_132
<=> ! [X4,X0,X3,X2,X1] :
( ~ r2(X0,X1)
| ~ r1(X0)
| ~ r2(X1,X2)
| ~ id(sK15(sK7(X2),X3),X4)
| ~ id(sK5(X2),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_132])]) ).
fof(f1407,plain,
( ! [X2,X3,X0,X1] :
( ~ r1(X0)
| ~ r2(X1,X2)
| ~ r2(X0,X1)
| ~ id(sK5(X2),sK13(sK7(X2),X3)) )
| ~ spl20_24
| ~ spl20_132 ),
inference(resolution,[],[f1372,f231]) ).
fof(f1372,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ id(sK15(sK7(X2),X3),X4)
| ~ r1(X0)
| ~ r2(X1,X2)
| ~ r2(X0,X1)
| ~ id(sK5(X2),X4) )
| ~ spl20_132 ),
inference(avatar_component_clause,[],[f1371]) ).
fof(f2050,plain,
( spl20_200
| ~ spl20_5
| ~ spl20_95 ),
inference(avatar_split_clause,[],[f864,f801,f144,f2048]) ).
fof(f2048,plain,
( spl20_200
<=> ! [X0,X1] : id(sK3(sK11(X0,X1)),sK9(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_200])]) ).
fof(f864,plain,
( ! [X0,X1] : id(sK3(sK11(X0,X1)),sK9(X0,X1))
| ~ spl20_5
| ~ spl20_95 ),
inference(resolution,[],[f802,f145]) ).
fof(f2046,plain,
( spl20_199
| ~ spl20_84
| ~ spl20_93 ),
inference(avatar_split_clause,[],[f852,f793,f711,f2044]) ).
fof(f2044,plain,
( spl20_199
<=> ! [X0,X1] :
( ~ id(X0,X1)
| r1(sK2(X1))
| ~ r1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_199])]) ).
fof(f852,plain,
( ! [X0,X1] :
( ~ id(X0,X1)
| r1(sK2(X1))
| ~ r1(X0) )
| ~ spl20_84
| ~ spl20_93 ),
inference(duplicate_literal_removal,[],[f845]) ).
fof(f845,plain,
( ! [X0,X1] :
( ~ id(X0,X1)
| r1(sK2(X1))
| ~ r1(X0)
| r1(sK2(X1)) )
| ~ spl20_84
| ~ spl20_93 ),
inference(resolution,[],[f794,f712]) ).
fof(f2042,plain,
( spl20_198
| ~ spl20_17
| ~ spl20_92 ),
inference(avatar_split_clause,[],[f839,f789,f196,f2040]) ).
fof(f2040,plain,
( spl20_198
<=> ! [X0,X1] :
( ~ r1(sK18(X0,X1))
| r1(sK14(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_198])]) ).
fof(f839,plain,
( ! [X0,X1] :
( ~ r1(sK18(X0,X1))
| r1(sK14(X0,X1)) )
| ~ spl20_17
| ~ spl20_92 ),
inference(resolution,[],[f790,f197]) ).
fof(f2038,plain,
( spl20_197
| ~ spl20_12
| ~ spl20_92 ),
inference(avatar_split_clause,[],[f838,f789,f175,f2036]) ).
fof(f2036,plain,
( spl20_197
<=> ! [X0] :
( ~ r1(sK18(X0,sK4(X0)))
| r1(sK3(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_197])]) ).
fof(f838,plain,
( ! [X0] :
( ~ r1(sK18(X0,sK4(X0)))
| r1(sK3(X0)) )
| ~ spl20_12
| ~ spl20_92 ),
inference(resolution,[],[f790,f176]) ).
fof(f2034,plain,
( spl20_196
| ~ spl20_17
| ~ spl20_91 ),
inference(avatar_split_clause,[],[f833,f785,f196,f2032]) ).
fof(f2032,plain,
( spl20_196
<=> ! [X0,X1] :
( ~ r1(sK14(X0,X1))
| r1(sK18(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_196])]) ).
fof(f833,plain,
( ! [X0,X1] :
( ~ r1(sK14(X0,X1))
| r1(sK18(X0,X1)) )
| ~ spl20_17
| ~ spl20_91 ),
inference(resolution,[],[f786,f197]) ).
fof(f2030,plain,
( spl20_195
| ~ spl20_12
| ~ spl20_91 ),
inference(avatar_split_clause,[],[f832,f785,f175,f2028]) ).
fof(f2028,plain,
( spl20_195
<=> ! [X0] :
( ~ r1(sK3(X0))
| r1(sK18(X0,sK4(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_195])]) ).
fof(f832,plain,
( ! [X0] :
( ~ r1(sK3(X0))
| r1(sK18(X0,sK4(X0))) )
| ~ spl20_12
| ~ spl20_91 ),
inference(resolution,[],[f786,f176]) ).
fof(f2026,plain,
( spl20_194
| ~ spl20_16
| ~ spl20_90 ),
inference(avatar_split_clause,[],[f828,f781,f192,f2024]) ).
fof(f2024,plain,
( spl20_194
<=> ! [X0,X1] :
( ~ r1(sK17(X0,X1))
| r1(sK10(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_194])]) ).
fof(f828,plain,
( ! [X0,X1] :
( ~ r1(sK17(X0,X1))
| r1(sK10(X0,X1)) )
| ~ spl20_16
| ~ spl20_90 ),
inference(resolution,[],[f782,f193]) ).
fof(f2022,plain,
( spl20_193
| ~ spl20_16
| ~ spl20_89 ),
inference(avatar_split_clause,[],[f823,f777,f192,f2020]) ).
fof(f2020,plain,
( spl20_193
<=> ! [X0,X1] :
( ~ r1(sK10(X0,X1))
| r1(sK17(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_193])]) ).
fof(f823,plain,
( ! [X0,X1] :
( ~ r1(sK10(X0,X1))
| r1(sK17(X0,X1)) )
| ~ spl20_16
| ~ spl20_89 ),
inference(resolution,[],[f778,f193]) ).
fof(f2018,plain,
( spl20_192
| ~ spl20_14
| ~ spl20_89 ),
inference(avatar_split_clause,[],[f822,f777,f184,f2016]) ).
fof(f2016,plain,
( spl20_192
<=> ! [X0] :
( ~ r1(sK5(X0))
| r1(sK17(X0,sK7(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_192])]) ).
fof(f822,plain,
( ! [X0] :
( ~ r1(sK5(X0))
| r1(sK17(X0,sK7(X0))) )
| ~ spl20_14
| ~ spl20_89 ),
inference(resolution,[],[f778,f185]) ).
fof(f2014,plain,
( spl20_191
| ~ spl20_5
| ~ spl20_88 ),
inference(avatar_split_clause,[],[f817,f773,f144,f2012]) ).
fof(f2012,plain,
( spl20_191
<=> ! [X0] :
( ~ r1(sK3(sK1(X0)))
| id(X0,sK2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_191])]) ).
fof(f773,plain,
( spl20_88
<=> ! [X0,X1] :
( id(X0,sK2(X0))
| ~ r1(X1)
| ~ id(X1,sK1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_88])]) ).
fof(f817,plain,
( ! [X0] :
( ~ r1(sK3(sK1(X0)))
| id(X0,sK2(X0)) )
| ~ spl20_5
| ~ spl20_88 ),
inference(resolution,[],[f774,f145]) ).
fof(f774,plain,
( ! [X0,X1] :
( ~ id(X1,sK1(X0))
| ~ r1(X1)
| id(X0,sK2(X0)) )
| ~ spl20_88 ),
inference(avatar_component_clause,[],[f773]) ).
fof(f2010,plain,
( spl20_190
| ~ spl20_1
| ~ spl20_132 ),
inference(avatar_split_clause,[],[f1398,f1371,f128,f2008]) ).
fof(f2008,plain,
( spl20_190
<=> ! [X0,X3,X2,X1] :
( ~ r1(X0)
| ~ r2(X1,X2)
| ~ r2(X0,X1)
| ~ id(sK5(X2),sK15(sK7(X2),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_190])]) ).
fof(f1398,plain,
( ! [X2,X3,X0,X1] :
( ~ r1(X0)
| ~ r2(X1,X2)
| ~ r2(X0,X1)
| ~ id(sK5(X2),sK15(sK7(X2),X3)) )
| ~ spl20_1
| ~ spl20_132 ),
inference(resolution,[],[f1372,f129]) ).
fof(f2006,plain,
( spl20_189
| ~ spl20_10
| ~ spl20_86 ),
inference(avatar_split_clause,[],[f771,f719,f164,f2004]) ).
fof(f2004,plain,
( spl20_189
<=> ! [X0,X1] :
( ~ r3(X0,X1,sK19)
| r1(sK18(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_189])]) ).
fof(f164,plain,
( spl20_10
<=> ! [X1] :
( ~ id(X1,sK19)
| r1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_10])]) ).
fof(f771,plain,
( ! [X0,X1] :
( ~ r3(X0,X1,sK19)
| r1(sK18(X0,X1)) )
| ~ spl20_10
| ~ spl20_86 ),
inference(resolution,[],[f720,f165]) ).
fof(f165,plain,
( ! [X1] :
( ~ id(X1,sK19)
| r1(X1) )
| ~ spl20_10 ),
inference(avatar_component_clause,[],[f164]) ).
fof(f2002,plain,
( spl20_188
| ~ spl20_10
| ~ spl20_85 ),
inference(avatar_split_clause,[],[f756,f715,f164,f2000]) ).
fof(f2000,plain,
( spl20_188
<=> ! [X0,X1] :
( ~ r4(X0,X1,sK19)
| r1(sK17(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_188])]) ).
fof(f756,plain,
( ! [X0,X1] :
( ~ r4(X0,X1,sK19)
| r1(sK17(X0,X1)) )
| ~ spl20_10
| ~ spl20_85 ),
inference(resolution,[],[f716,f165]) ).
fof(f1998,plain,
( spl20_187
| ~ spl20_21
| ~ spl20_83 ),
inference(avatar_split_clause,[],[f728,f707,f218,f1996]) ).
fof(f1996,plain,
( spl20_187
<=> ! [X0] :
( ~ r1(sK2(X0))
| r1(X0)
| ~ r1(sK1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_187])]) ).
fof(f728,plain,
( ! [X0] :
( ~ r1(sK2(X0))
| r1(X0)
| ~ r1(sK1(X0)) )
| ~ spl20_21
| ~ spl20_83 ),
inference(duplicate_literal_removal,[],[f725]) ).
fof(f725,plain,
( ! [X0] :
( ~ r1(sK2(X0))
| r1(X0)
| ~ r1(sK1(X0))
| r1(X0) )
| ~ spl20_21
| ~ spl20_83 ),
inference(resolution,[],[f708,f219]) ).
fof(f1994,plain,
( spl20_186
| ~ spl20_62
| ~ spl20_71 ),
inference(avatar_split_clause,[],[f608,f553,f517,f1992]) ).
fof(f1992,plain,
( spl20_186
<=> ! [X0,X1] :
( id(sK8(X0),X1)
| ~ r2(X0,sK3(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_186])]) ).
fof(f608,plain,
( ! [X0,X1] :
( id(sK8(X0),X1)
| ~ r2(X0,sK3(X1)) )
| ~ spl20_62
| ~ spl20_71 ),
inference(resolution,[],[f554,f518]) ).
fof(f1990,plain,
( spl20_185
| ~ spl20_20
| ~ spl20_62 ),
inference(avatar_split_clause,[],[f568,f517,f214,f1988]) ).
fof(f1988,plain,
( spl20_185
<=> ! [X0,X1] :
( ~ r2(X0,sK8(X1))
| r2(X1,sK8(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_185])]) ).
fof(f568,plain,
( ! [X0,X1] :
( ~ r2(X0,sK8(X1))
| r2(X1,sK8(X0)) )
| ~ spl20_20
| ~ spl20_62 ),
inference(resolution,[],[f518,f215]) ).
fof(f1986,plain,
( spl20_184
| ~ spl20_38
| ~ spl20_51 ),
inference(avatar_split_clause,[],[f472,f443,f319,f1984]) ).
fof(f1984,plain,
( spl20_184
<=> ! [X0,X1] :
( ~ r1(sK18(X0,X1))
| r3(X0,X1,sK19) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_184])]) ).
fof(f472,plain,
( ! [X0,X1] :
( ~ r1(sK18(X0,X1))
| r3(X0,X1,sK19) )
| ~ spl20_38
| ~ spl20_51 ),
inference(resolution,[],[f444,f320]) ).
fof(f1982,plain,
( spl20_183
| ~ spl20_35
| ~ spl20_51 ),
inference(avatar_split_clause,[],[f471,f443,f307,f1980]) ).
fof(f1980,plain,
( spl20_183
<=> ! [X0,X1] :
( ~ r1(sK17(X0,X1))
| r4(X0,X1,sK19) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_183])]) ).
fof(f471,plain,
( ! [X0,X1] :
( ~ r1(sK17(X0,X1))
| r4(X0,X1,sK19) )
| ~ spl20_35
| ~ spl20_51 ),
inference(resolution,[],[f444,f308]) ).
fof(f1978,plain,
( spl20_182
| ~ spl20_39
| ~ spl20_51 ),
inference(avatar_split_clause,[],[f466,f443,f323,f1976]) ).
fof(f1976,plain,
( spl20_182
<=> ! [X0,X1] :
( ~ r1(X0)
| id(X1,X0)
| ~ id(X1,sK19) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_182])]) ).
fof(f466,plain,
( ! [X0,X1] :
( ~ r1(X0)
| id(X1,X0)
| ~ id(X1,sK19) )
| ~ spl20_39
| ~ spl20_51 ),
inference(resolution,[],[f444,f324]) ).
fof(f1974,plain,
( spl20_181
| ~ spl20_39
| ~ spl20_50 ),
inference(avatar_split_clause,[],[f462,f439,f323,f1972]) ).
fof(f1972,plain,
( spl20_181
<=> ! [X0,X1] :
( id(X0,sK5(X1))
| ~ id(X0,sK6(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_181])]) ).
fof(f462,plain,
( ! [X0,X1] :
( id(X0,sK5(X1))
| ~ id(X0,sK6(X1)) )
| ~ spl20_39
| ~ spl20_50 ),
inference(resolution,[],[f440,f324]) ).
fof(f1957,plain,
( spl20_180
| ~ spl20_1
| ~ spl20_131 ),
inference(avatar_split_clause,[],[f1382,f1367,f128,f1955]) ).
fof(f1955,plain,
( spl20_180
<=> ! [X0,X3,X2,X1] :
( ~ r1(X0)
| ~ r2(X1,X2)
| ~ r2(X0,X1)
| ~ id(sK5(X2),sK14(sK7(X2),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_180])]) ).
fof(f1367,plain,
( spl20_131
<=> ! [X4,X0,X3,X2,X1] :
( ~ r2(X0,X1)
| ~ r1(X0)
| ~ r2(X1,X2)
| ~ id(sK14(sK7(X2),X3),X4)
| ~ id(sK5(X2),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_131])]) ).
fof(f1382,plain,
( ! [X2,X3,X0,X1] :
( ~ r1(X0)
| ~ r2(X1,X2)
| ~ r2(X0,X1)
| ~ id(sK5(X2),sK14(sK7(X2),X3)) )
| ~ spl20_1
| ~ spl20_131 ),
inference(resolution,[],[f1368,f129]) ).
fof(f1368,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ id(sK14(sK7(X2),X3),X4)
| ~ r1(X0)
| ~ r2(X1,X2)
| ~ r2(X0,X1)
| ~ id(sK5(X2),X4) )
| ~ spl20_131 ),
inference(avatar_component_clause,[],[f1367]) ).
fof(f1953,plain,
( spl20_179
| ~ spl20_49
| ~ spl20_98 ),
inference(avatar_split_clause,[],[f913,f879,f424,f1951]) ).
fof(f1951,plain,
( spl20_179
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( id(X2,sK2(sK10(X0,X1)))
| ~ id(X2,sK10(X0,X1))
| ~ r2(X3,X4)
| ~ r1(X3)
| ~ r2(X4,X0)
| ~ r3(X1,X5,X6)
| ~ id(X6,sK1(sK10(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_179])]) ).
fof(f424,plain,
( spl20_49
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ id(X0,X1)
| ~ r2(X2,X3)
| ~ r1(X2)
| ~ r2(X3,X4)
| ~ r3(X5,X6,X0)
| ~ id(sK10(X4,X5),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_49])]) ).
fof(f913,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( id(X2,sK2(sK10(X0,X1)))
| ~ id(X2,sK10(X0,X1))
| ~ r2(X3,X4)
| ~ r1(X3)
| ~ r2(X4,X0)
| ~ r3(X1,X5,X6)
| ~ id(X6,sK1(sK10(X0,X1))) )
| ~ spl20_49
| ~ spl20_98 ),
inference(resolution,[],[f880,f425]) ).
fof(f425,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ id(sK10(X4,X5),X1)
| ~ r2(X2,X3)
| ~ r1(X2)
| ~ r2(X3,X4)
| ~ r3(X5,X6,X0)
| ~ id(X0,X1) )
| ~ spl20_49 ),
inference(avatar_component_clause,[],[f424]) ).
fof(f1851,plain,
( spl20_178
| ~ spl20_1
| ~ spl20_88 ),
inference(avatar_split_clause,[],[f814,f773,f128,f1849]) ).
fof(f1849,plain,
( spl20_178
<=> ! [X0] :
( ~ r1(sK1(X0))
| id(X0,sK2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_178])]) ).
fof(f814,plain,
( ! [X0] :
( ~ r1(sK1(X0))
| id(X0,sK2(X0)) )
| ~ spl20_1
| ~ spl20_88 ),
inference(resolution,[],[f774,f129]) ).
fof(f1847,plain,
( spl20_177
| ~ spl20_5
| ~ spl20_84 ),
inference(avatar_split_clause,[],[f734,f711,f144,f1845]) ).
fof(f1845,plain,
( spl20_177
<=> ! [X0] :
( ~ r1(sK3(sK1(X0)))
| r1(sK2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_177])]) ).
fof(f734,plain,
( ! [X0] :
( ~ r1(sK3(sK1(X0)))
| r1(sK2(X0)) )
| ~ spl20_5
| ~ spl20_84 ),
inference(resolution,[],[f712,f145]) ).
fof(f1843,plain,
( spl20_176
| ~ spl20_6
| ~ spl20_81 ),
inference(avatar_split_clause,[],[f696,f646,f148,f1841]) ).
fof(f148,plain,
( spl20_6
<=> ! [X0] : id(sK5(X0),sK6(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_6])]) ).
fof(f696,plain,
( ! [X0] :
( id(sK5(X0),sK19)
| ~ r1(sK6(X0)) )
| ~ spl20_6
| ~ spl20_81 ),
inference(resolution,[],[f647,f149]) ).
fof(f149,plain,
( ! [X0] : id(sK5(X0),sK6(X0))
| ~ spl20_6 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f1839,plain,
( spl20_175
| ~ spl20_50
| ~ spl20_81 ),
inference(avatar_split_clause,[],[f695,f646,f439,f1837]) ).
fof(f1837,plain,
( spl20_175
<=> ! [X0] :
( id(sK6(X0),sK19)
| ~ r1(sK5(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_175])]) ).
fof(f695,plain,
( ! [X0] :
( id(sK6(X0),sK19)
| ~ r1(sK5(X0)) )
| ~ spl20_50
| ~ spl20_81 ),
inference(resolution,[],[f647,f440]) ).
fof(f1835,plain,
( spl20_174
| ~ spl20_51
| ~ spl20_80 ),
inference(avatar_split_clause,[],[f684,f642,f443,f1833]) ).
fof(f1833,plain,
( spl20_174
<=> ! [X0] :
( id(sK19,sK6(X0))
| ~ r1(sK5(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_174])]) ).
fof(f684,plain,
( ! [X0] :
( id(sK19,sK6(X0))
| ~ r1(sK5(X0)) )
| ~ spl20_51
| ~ spl20_80 ),
inference(resolution,[],[f643,f444]) ).
fof(f1831,plain,
( spl20_173
| ~ spl20_29
| ~ spl20_53 ),
inference(avatar_split_clause,[],[f478,f451,f275,f1829]) ).
fof(f1829,plain,
( spl20_173
<=> ! [X0,X1] :
( ~ r1(X0)
| ~ id(X0,sK3(sK8(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_173])]) ).
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(f478,plain,
( ! [X0,X1] :
( ~ r1(X0)
| ~ id(X0,sK3(sK8(X1))) )
| ~ spl20_29
| ~ spl20_53 ),
inference(resolution,[],[f452,f276]) ).
fof(f276,plain,
( ! [X2,X0,X1] :
( ~ r2(X0,X1)
| ~ r1(X2)
| ~ id(X2,X1) )
| ~ spl20_29 ),
inference(avatar_component_clause,[],[f275]) ).
fof(f1827,plain,
( spl20_172
| ~ spl20_36
| ~ spl20_39 ),
inference(avatar_split_clause,[],[f400,f323,f311,f1825]) ).
fof(f1825,plain,
( spl20_172
<=> ! [X0,X1] :
( id(X0,sK3(X1))
| ~ id(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_172])]) ).
fof(f400,plain,
( ! [X0,X1] :
( id(X0,sK3(X1))
| ~ id(X0,X1) )
| ~ spl20_36
| ~ spl20_39 ),
inference(resolution,[],[f312,f324]) ).
fof(f1809,plain,
( spl20_171
| ~ spl20_49
| ~ spl20_83 ),
inference(avatar_split_clause,[],[f727,f707,f424,f1807]) ).
fof(f1807,plain,
( spl20_171
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ r1(sK2(sK10(X0,X1)))
| r1(sK10(X0,X1))
| ~ r2(X2,X3)
| ~ r1(X2)
| ~ r2(X3,X0)
| ~ r3(X1,X4,X5)
| ~ id(X5,sK1(sK10(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_171])]) ).
fof(f727,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ r1(sK2(sK10(X0,X1)))
| r1(sK10(X0,X1))
| ~ r2(X2,X3)
| ~ r1(X2)
| ~ r2(X3,X0)
| ~ r3(X1,X4,X5)
| ~ id(X5,sK1(sK10(X0,X1))) )
| ~ spl20_49
| ~ spl20_83 ),
inference(resolution,[],[f708,f425]) ).
fof(f1792,plain,
( spl20_170
| ~ spl20_27
| ~ spl20_49 ),
inference(avatar_split_clause,[],[f432,f424,f267,f1790]) ).
fof(f1790,plain,
( spl20_170
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ r2(X0,X1)
| ~ r1(X0)
| ~ r2(X1,X2)
| ~ r3(X3,X4,X5)
| ~ id(X5,sK2(sK10(X2,X3)))
| id(sK10(X2,X3),sK1(sK10(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_170])]) ).
fof(f432,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ r2(X0,X1)
| ~ r1(X0)
| ~ r2(X1,X2)
| ~ r3(X3,X4,X5)
| ~ id(X5,sK2(sK10(X2,X3)))
| id(sK10(X2,X3),sK1(sK10(X2,X3))) )
| ~ spl20_27
| ~ spl20_49 ),
inference(resolution,[],[f425,f268]) ).
fof(f1776,plain,
( spl20_169
| ~ spl20_1
| ~ spl20_157 ),
inference(avatar_split_clause,[],[f1740,f1695,f128,f1774]) ).
fof(f1774,plain,
( spl20_169
<=> ! [X0] : ~ r1(sK8(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_169])]) ).
fof(f1695,plain,
( spl20_157
<=> ! [X0,X1] :
( ~ r1(X0)
| ~ id(X0,sK8(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_157])]) ).
fof(f1740,plain,
( ! [X0] : ~ r1(sK8(X0))
| ~ spl20_1
| ~ spl20_157 ),
inference(resolution,[],[f1696,f129]) ).
fof(f1696,plain,
( ! [X0,X1] :
( ~ id(X0,sK8(X1))
| ~ r1(X0) )
| ~ spl20_157 ),
inference(avatar_component_clause,[],[f1695]) ).
fof(f1772,plain,
( spl20_168
| ~ spl20_49
| ~ spl20_98 ),
inference(avatar_split_clause,[],[f919,f879,f424,f1770]) ).
fof(f1770,plain,
( spl20_168
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( id(X2,sK1(X2))
| ~ id(sK10(X0,X1),X2)
| ~ r2(X3,X4)
| ~ r1(X3)
| ~ r2(X4,X0)
| ~ r3(X1,X5,X6)
| ~ id(X6,sK2(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_168])]) ).
fof(f919,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( id(X2,sK1(X2))
| ~ id(sK10(X0,X1),X2)
| ~ r2(X3,X4)
| ~ r1(X3)
| ~ r2(X4,X0)
| ~ r3(X1,X5,X6)
| ~ id(X6,sK2(X2)) )
| ~ spl20_49
| ~ spl20_98 ),
inference(resolution,[],[f880,f425]) ).
fof(f1738,plain,
( spl20_167
| ~ spl20_1
| ~ spl20_84 ),
inference(avatar_split_clause,[],[f731,f711,f128,f1736]) ).
fof(f1736,plain,
( spl20_167
<=> ! [X0] :
( ~ r1(sK1(X0))
| r1(sK2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_167])]) ).
fof(f731,plain,
( ! [X0] :
( ~ r1(sK1(X0))
| r1(sK2(X0)) )
| ~ spl20_1
| ~ spl20_84 ),
inference(resolution,[],[f712,f129]) ).
fof(f1734,plain,
( spl20_166
| ~ spl20_36
| ~ spl20_81 ),
inference(avatar_split_clause,[],[f694,f646,f311,f1732]) ).
fof(f1732,plain,
( spl20_166
<=> ! [X0] :
( id(X0,sK19)
| ~ r1(sK3(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_166])]) ).
fof(f694,plain,
( ! [X0] :
( id(X0,sK19)
| ~ r1(sK3(X0)) )
| ~ spl20_36
| ~ spl20_81 ),
inference(resolution,[],[f647,f312]) ).
fof(f1730,plain,
( spl20_165
| ~ spl20_5
| ~ spl20_57 ),
inference(avatar_split_clause,[],[f1361,f489,f144,f1728]) ).
fof(f1728,plain,
( spl20_165
<=> ! [X4,X0,X3,X2,X1] :
( ~ r1(X0)
| ~ r2(X1,X2)
| ~ r3(X3,X4,sK3(sK10(X2,X3)))
| ~ r2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_165])]) ).
fof(f489,plain,
( spl20_57
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ r2(X0,X1)
| ~ r1(X0)
| ~ r2(X1,X2)
| ~ r3(X3,X4,X5)
| ~ id(X5,sK10(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_57])]) ).
fof(f1361,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r1(X0)
| ~ r2(X1,X2)
| ~ r3(X3,X4,sK3(sK10(X2,X3)))
| ~ r2(X0,X1) )
| ~ spl20_5
| ~ spl20_57 ),
inference(resolution,[],[f490,f145]) ).
fof(f490,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ id(X5,sK10(X2,X3))
| ~ r1(X0)
| ~ r2(X1,X2)
| ~ r3(X3,X4,X5)
| ~ r2(X0,X1) )
| ~ spl20_57 ),
inference(avatar_component_clause,[],[f489]) ).
fof(f1726,plain,
( spl20_164
| ~ spl20_5
| ~ spl20_81 ),
inference(avatar_split_clause,[],[f689,f646,f144,f1724]) ).
fof(f689,plain,
( ! [X0] :
( id(sK3(X0),sK19)
| ~ r1(X0) )
| ~ spl20_5
| ~ spl20_81 ),
inference(resolution,[],[f647,f145]) ).
fof(f1722,plain,
( spl20_163
| ~ spl20_5
| ~ spl20_80 ),
inference(avatar_split_clause,[],[f683,f642,f144,f1720]) ).
fof(f1720,plain,
( spl20_163
<=> ! [X0] : id(sK3(sK5(X0)),sK6(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_163])]) ).
fof(f683,plain,
( ! [X0] : id(sK3(sK5(X0)),sK6(X0))
| ~ spl20_5
| ~ spl20_80 ),
inference(resolution,[],[f643,f145]) ).
fof(f1718,plain,
( spl20_162
| ~ spl20_51
| ~ spl20_71 ),
inference(avatar_split_clause,[],[f607,f553,f443,f1716]) ).
fof(f1716,plain,
( spl20_162
<=> ! [X0] :
( id(sK19,X0)
| ~ r1(sK3(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_162])]) ).
fof(f607,plain,
( ! [X0] :
( id(sK19,X0)
| ~ r1(sK3(X0)) )
| ~ spl20_51
| ~ spl20_71 ),
inference(resolution,[],[f554,f444]) ).
fof(f1714,plain,
( spl20_161
| ~ spl20_10
| ~ spl20_62 ),
inference(avatar_split_clause,[],[f571,f517,f164,f1712]) ).
fof(f1712,plain,
( spl20_161
<=> ! [X0] :
( ~ r2(X0,sK19)
| r1(sK8(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_161])]) ).
fof(f571,plain,
( ! [X0] :
( ~ r2(X0,sK19)
| r1(sK8(X0)) )
| ~ spl20_10
| ~ spl20_62 ),
inference(resolution,[],[f518,f165]) ).
fof(f1710,plain,
( spl20_159
| spl20_160
| ~ spl20_10
| ~ spl20_61 ),
inference(avatar_split_clause,[],[f563,f513,f164,f1707,f1703]) ).
fof(f1703,plain,
( spl20_159
<=> r1(sK1(sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_159])]) ).
fof(f563,plain,
( r1(sK2(sK19))
| r1(sK1(sK19))
| ~ spl20_10
| ~ spl20_61 ),
inference(resolution,[],[f514,f165]) ).
fof(f1701,plain,
( spl20_158
| ~ spl20_20
| ~ spl20_51 ),
inference(avatar_split_clause,[],[f470,f443,f214,f1699]) ).
fof(f1699,plain,
( spl20_158
<=> ! [X0] :
( ~ r1(sK8(X0))
| r2(X0,sK19) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_158])]) ).
fof(f470,plain,
( ! [X0] :
( ~ r1(sK8(X0))
| r2(X0,sK19) )
| ~ spl20_20
| ~ spl20_51 ),
inference(resolution,[],[f444,f215]) ).
fof(f1697,plain,
( spl20_157
| ~ spl20_29
| ~ spl20_41 ),
inference(avatar_split_clause,[],[f418,f355,f275,f1695]) ).
fof(f418,plain,
( ! [X0,X1] :
( ~ r1(X0)
| ~ id(X0,sK8(X1)) )
| ~ spl20_29
| ~ spl20_41 ),
inference(resolution,[],[f356,f276]) ).
fof(f1681,plain,
( spl20_156
| ~ spl20_36
| ~ spl20_52 ),
inference(avatar_split_clause,[],[f1139,f447,f311,f1679]) ).
fof(f1679,plain,
( spl20_156
<=> ! [X2,X0,X1] :
( ~ r1(X0)
| ~ r2(X1,X2)
| ~ r2(X0,X1)
| ~ id(sK5(X2),sK3(sK3(sK7(X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_156])]) ).
fof(f1139,plain,
( ! [X2,X0,X1] :
( ~ r1(X0)
| ~ r2(X1,X2)
| ~ r2(X0,X1)
| ~ id(sK5(X2),sK3(sK3(sK7(X2)))) )
| ~ spl20_36
| ~ spl20_52 ),
inference(resolution,[],[f448,f312]) ).
fof(f1677,plain,
( spl20_155
| ~ spl20_49
| ~ spl20_93 ),
inference(avatar_split_clause,[],[f851,f793,f424,f1675]) ).
fof(f1675,plain,
( spl20_155
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ id(sK10(X0,X1),X2)
| r1(sK2(X2))
| ~ r2(X3,X4)
| ~ r1(X3)
| ~ r2(X4,X0)
| ~ r3(X1,X5,X6)
| ~ id(X6,sK1(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_155])]) ).
fof(f851,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ id(sK10(X0,X1),X2)
| r1(sK2(X2))
| ~ r2(X3,X4)
| ~ r1(X3)
| ~ r2(X4,X0)
| ~ r3(X1,X5,X6)
| ~ id(X6,sK1(X2)) )
| ~ spl20_49
| ~ spl20_93 ),
inference(resolution,[],[f794,f425]) ).
fof(f1657,plain,
( spl20_154
| ~ spl20_37
| ~ spl20_49 ),
inference(avatar_split_clause,[],[f436,f424,f315,f1655]) ).
fof(f1655,plain,
( spl20_154
<=> ! [X3,X4,X0,X7,X6,X5,X2,X1] :
( ~ r2(X0,X1)
| ~ r1(X0)
| ~ r2(X1,X2)
| ~ r3(X3,X4,X5)
| ~ id(X5,sK18(X6,X7))
| ~ r3(X6,X7,sK10(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_154])]) ).
fof(f436,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ r2(X0,X1)
| ~ r1(X0)
| ~ r2(X1,X2)
| ~ r3(X3,X4,X5)
| ~ id(X5,sK18(X6,X7))
| ~ r3(X6,X7,sK10(X2,X3)) )
| ~ spl20_37
| ~ spl20_49 ),
inference(resolution,[],[f425,f316]) ).
fof(f1653,plain,
( spl20_153
| ~ spl20_34
| ~ spl20_49 ),
inference(avatar_split_clause,[],[f435,f424,f303,f1651]) ).
fof(f1651,plain,
( spl20_153
<=> ! [X3,X4,X0,X7,X6,X5,X2,X1] :
( ~ r2(X0,X1)
| ~ r1(X0)
| ~ r2(X1,X2)
| ~ r3(X3,X4,X5)
| ~ id(X5,sK17(X6,X7))
| ~ r4(X6,X7,sK10(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_153])]) ).
fof(f435,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ r2(X0,X1)
| ~ r1(X0)
| ~ r2(X1,X2)
| ~ r3(X3,X4,X5)
| ~ id(X5,sK17(X6,X7))
| ~ r4(X6,X7,sK10(X2,X3)) )
| ~ spl20_34
| ~ spl20_49 ),
inference(resolution,[],[f425,f304]) ).
fof(f1649,plain,
( spl20_152
| ~ spl20_18
| ~ spl20_49 ),
inference(avatar_split_clause,[],[f431,f424,f206,f1647]) ).
fof(f1647,plain,
( spl20_152
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ r2(X0,X1)
| ~ r1(X0)
| ~ r2(X1,X2)
| ~ r3(X3,X4,X5)
| ~ id(X5,sK1(sK10(X2,X3)))
| r1(sK2(sK10(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_152])]) ).
fof(f431,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ r2(X0,X1)
| ~ r1(X0)
| ~ r2(X1,X2)
| ~ r3(X3,X4,X5)
| ~ id(X5,sK1(sK10(X2,X3)))
| r1(sK2(sK10(X2,X3))) )
| ~ spl20_18
| ~ spl20_49 ),
inference(resolution,[],[f425,f207]) ).
fof(f1619,plain,
( spl20_151
| ~ spl20_56
| ~ spl20_70 ),
inference(avatar_split_clause,[],[f602,f549,f482,f1617]) ).
fof(f1617,plain,
( spl20_151
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ r2(X0,X1)
| ~ r1(X0)
| ~ r2(X1,X2)
| ~ id(sK3(sK18(sK12(X2,X3),X4)),X5)
| ~ id(sK11(X2,X3),X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_151])]) ).
fof(f482,plain,
( spl20_56
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ id(X0,X1)
| ~ r2(X2,X3)
| ~ r1(X2)
| ~ r2(X3,X4)
| ~ r3(sK12(X4,X5),X6,X0)
| ~ id(sK11(X4,X5),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_56])]) ).
fof(f549,plain,
( spl20_70
<=> ! [X0,X1] : r3(X0,X1,sK3(sK18(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_70])]) ).
fof(f602,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ r2(X0,X1)
| ~ r1(X0)
| ~ r2(X1,X2)
| ~ id(sK3(sK18(sK12(X2,X3),X4)),X5)
| ~ id(sK11(X2,X3),X5) )
| ~ spl20_56
| ~ spl20_70 ),
inference(resolution,[],[f550,f483]) ).
fof(f483,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ r3(sK12(X4,X5),X6,X0)
| ~ r2(X2,X3)
| ~ r1(X2)
| ~ r2(X3,X4)
| ~ id(X0,X1)
| ~ id(sK11(X4,X5),X1) )
| ~ spl20_56 ),
inference(avatar_component_clause,[],[f482]) ).
fof(f550,plain,
( ! [X0,X1] : r3(X0,X1,sK3(sK18(X0,X1)))
| ~ spl20_70 ),
inference(avatar_component_clause,[],[f549]) ).
fof(f1615,plain,
( spl20_150
| ~ spl20_11
| ~ spl20_69 ),
inference(avatar_split_clause,[],[f598,f545,f171,f1613]) ).
fof(f1613,plain,
( spl20_150
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ id(X0,X1)
| ~ r2(X2,X3)
| ~ r1(X2)
| ~ r2(X3,X4)
| ~ r3(X5,X6,X0)
| ~ id(sK3(sK17(X4,X5)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_150])]) ).
fof(f171,plain,
( spl20_11
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ r3(X1,X2,X3)
| ~ id(X3,X0)
| ~ r2(X7,X6)
| ~ r1(X7)
| ~ r2(X6,X5)
| ~ r4(X5,X1,X4)
| ~ id(X4,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_11])]) ).
fof(f545,plain,
( spl20_69
<=> ! [X0,X1] : r4(X0,X1,sK3(sK17(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_69])]) ).
fof(f598,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ id(X0,X1)
| ~ r2(X2,X3)
| ~ r1(X2)
| ~ r2(X3,X4)
| ~ r3(X5,X6,X0)
| ~ id(sK3(sK17(X4,X5)),X1) )
| ~ spl20_11
| ~ spl20_69 ),
inference(resolution,[],[f546,f172]) ).
fof(f172,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ r4(X5,X1,X4)
| ~ id(X3,X0)
| ~ r2(X7,X6)
| ~ r1(X7)
| ~ r2(X6,X5)
| ~ r3(X1,X2,X3)
| ~ id(X4,X0) )
| ~ spl20_11 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f546,plain,
( ! [X0,X1] : r4(X0,X1,sK3(sK17(X0,X1)))
| ~ spl20_69 ),
inference(avatar_component_clause,[],[f545]) ).
fof(f1611,plain,
( spl20_149
| ~ spl20_19
| ~ spl20_49 ),
inference(avatar_split_clause,[],[f434,f424,f210,f1609]) ).
fof(f1609,plain,
( spl20_149
<=> ! [X3,X4,X0,X6,X5,X2,X1] :
( ~ r2(X0,X1)
| ~ r1(X0)
| ~ r2(X1,X2)
| ~ r3(X3,X4,X5)
| ~ id(X5,sK8(X6))
| ~ r2(X6,sK10(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_149])]) ).
fof(f434,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ r2(X0,X1)
| ~ r1(X0)
| ~ r2(X1,X2)
| ~ r3(X3,X4,X5)
| ~ id(X5,sK8(X6))
| ~ r2(X6,sK10(X2,X3)) )
| ~ spl20_19
| ~ spl20_49 ),
inference(resolution,[],[f425,f211]) ).
fof(f1567,plain,
( spl20_148
| ~ spl20_18
| ~ spl20_84 ),
inference(avatar_split_clause,[],[f737,f711,f206,f1565]) ).
fof(f1565,plain,
( spl20_148
<=> ! [X0] :
( ~ r1(X0)
| r1(sK2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_148])]) ).
fof(f737,plain,
( ! [X0] :
( ~ r1(X0)
| r1(sK2(X0)) )
| ~ spl20_18
| ~ spl20_84 ),
inference(duplicate_literal_removal,[],[f730]) ).
fof(f730,plain,
( ! [X0] :
( ~ r1(X0)
| r1(sK2(X0))
| r1(sK2(X0)) )
| ~ spl20_18
| ~ spl20_84 ),
inference(resolution,[],[f712,f207]) ).
fof(f1563,plain,
( spl20_147
| ~ spl20_5
| ~ spl20_71 ),
inference(avatar_split_clause,[],[f606,f553,f144,f1561]) ).
fof(f1561,plain,
( spl20_147
<=> ! [X0] : id(sK3(sK3(X0)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_147])]) ).
fof(f606,plain,
( ! [X0] : id(sK3(sK3(X0)),X0)
| ~ spl20_5
| ~ spl20_71 ),
inference(resolution,[],[f554,f145]) ).
fof(f1559,plain,
( spl20_146
| ~ spl20_5
| ~ spl20_68 ),
inference(avatar_split_clause,[],[f593,f541,f144,f1557]) ).
fof(f1557,plain,
( spl20_146
<=> ! [X0,X1] : ~ r1(sK3(sK13(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_146])]) ).
fof(f593,plain,
( ! [X0,X1] : ~ r1(sK3(sK13(X0,X1)))
| ~ spl20_5
| ~ spl20_68 ),
inference(resolution,[],[f542,f145]) ).
fof(f1555,plain,
( spl20_145
| ~ spl20_5
| ~ spl20_67 ),
inference(avatar_split_clause,[],[f587,f537,f144,f1553]) ).
fof(f1553,plain,
( spl20_145
<=> ! [X0,X1] : ~ r1(sK3(sK16(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_145])]) ).
fof(f587,plain,
( ! [X0,X1] : ~ r1(sK3(sK16(X0,X1)))
| ~ spl20_5
| ~ spl20_67 ),
inference(resolution,[],[f538,f145]) ).
fof(f1551,plain,
( spl20_144
| ~ spl20_5
| ~ spl20_66 ),
inference(avatar_split_clause,[],[f582,f533,f144,f1549]) ).
fof(f1549,plain,
( spl20_144
<=> ! [X0,X1] : ~ r1(sK3(sK12(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_144])]) ).
fof(f582,plain,
( ! [X0,X1] : ~ r1(sK3(sK12(X0,X1)))
| ~ spl20_5
| ~ spl20_66 ),
inference(resolution,[],[f534,f145]) ).
fof(f1496,plain,
( spl20_143
| ~ spl20_56
| ~ spl20_60 ),
inference(avatar_split_clause,[],[f511,f501,f482,f1494]) ).
fof(f1494,plain,
( spl20_143
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ r2(X0,X1)
| ~ r1(X0)
| ~ r2(X1,X2)
| ~ id(sK18(sK12(X2,X3),X4),X5)
| ~ id(sK11(X2,X3),X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_143])]) ).
fof(f501,plain,
( spl20_60
<=> ! [X0,X1] : r3(X0,X1,sK18(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_60])]) ).
fof(f511,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ r2(X0,X1)
| ~ r1(X0)
| ~ r2(X1,X2)
| ~ id(sK18(sK12(X2,X3),X4),X5)
| ~ id(sK11(X2,X3),X5) )
| ~ spl20_56
| ~ spl20_60 ),
inference(resolution,[],[f502,f483]) ).
fof(f502,plain,
( ! [X0,X1] : r3(X0,X1,sK18(X0,X1))
| ~ spl20_60 ),
inference(avatar_component_clause,[],[f501]) ).
fof(f1492,plain,
( spl20_142
| ~ spl20_11
| ~ spl20_59 ),
inference(avatar_split_clause,[],[f507,f497,f171,f1490]) ).
fof(f1490,plain,
( spl20_142
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ id(X0,X1)
| ~ r2(X2,X3)
| ~ r1(X2)
| ~ r2(X3,X4)
| ~ r3(X5,X6,X0)
| ~ id(sK17(X4,X5),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_142])]) ).
fof(f497,plain,
( spl20_59
<=> ! [X0,X1] : r4(X0,X1,sK17(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_59])]) ).
fof(f507,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ id(X0,X1)
| ~ r2(X2,X3)
| ~ r1(X2)
| ~ r2(X3,X4)
| ~ r3(X5,X6,X0)
| ~ id(sK17(X4,X5),X1) )
| ~ spl20_11
| ~ spl20_59 ),
inference(resolution,[],[f498,f172]) ).
fof(f498,plain,
( ! [X0,X1] : r4(X0,X1,sK17(X0,X1))
| ~ spl20_59 ),
inference(avatar_component_clause,[],[f497]) ).
fof(f1488,plain,
( spl20_141
| ~ spl20_32
| ~ spl20_56 ),
inference(avatar_split_clause,[],[f487,f482,f287,f1486]) ).
fof(f1486,plain,
( spl20_141
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ r2(X0,X1)
| ~ r1(X0)
| ~ r2(X1,X2)
| ~ id(sK15(sK12(X2,X3),X4),X5)
| ~ id(sK11(X2,X3),X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_141])]) ).
fof(f487,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ r2(X0,X1)
| ~ r1(X0)
| ~ r2(X1,X2)
| ~ id(sK15(sK12(X2,X3),X4),X5)
| ~ id(sK11(X2,X3),X5) )
| ~ spl20_32
| ~ spl20_56 ),
inference(resolution,[],[f483,f288]) ).
fof(f1484,plain,
( spl20_140
| ~ spl20_1
| ~ spl20_57 ),
inference(avatar_split_clause,[],[f1358,f489,f128,f1482]) ).
fof(f1482,plain,
( spl20_140
<=> ! [X4,X0,X3,X2,X1] :
( ~ r1(X0)
| ~ r2(X1,X2)
| ~ r3(X3,X4,sK10(X2,X3))
| ~ r2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_140])]) ).
fof(f1358,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r1(X0)
| ~ r2(X1,X2)
| ~ r3(X3,X4,sK10(X2,X3))
| ~ r2(X0,X1) )
| ~ spl20_1
| ~ spl20_57 ),
inference(resolution,[],[f490,f129]) ).
fof(f1480,plain,
( spl20_139
| ~ spl20_17
| ~ spl20_56 ),
inference(avatar_split_clause,[],[f486,f482,f196,f1478]) ).
fof(f1478,plain,
( spl20_139
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ r2(X0,X1)
| ~ r1(X0)
| ~ r2(X1,X2)
| ~ id(sK14(sK12(X2,X3),X4),X5)
| ~ id(sK11(X2,X3),X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_139])]) ).
fof(f486,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ r2(X0,X1)
| ~ r1(X0)
| ~ r2(X1,X2)
| ~ id(sK14(sK12(X2,X3),X4),X5)
| ~ id(sK11(X2,X3),X5) )
| ~ spl20_17
| ~ spl20_56 ),
inference(resolution,[],[f483,f197]) ).
fof(f1444,plain,
( spl20_138
| ~ spl20_48
| ~ spl20_70 ),
inference(avatar_split_clause,[],[f601,f549,f420,f1442]) ).
fof(f1442,plain,
( spl20_138
<=> ! [X4,X0,X3,X2,X1] :
( ~ r2(X0,X1)
| ~ r1(X0)
| ~ r2(X1,X2)
| ~ id(sK3(sK18(sK7(X2),X3)),X4)
| ~ id(sK5(X2),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_138])]) ).
fof(f420,plain,
( spl20_48
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ id(X0,X1)
| ~ r2(X2,X3)
| ~ r1(X2)
| ~ r2(X3,X4)
| ~ r3(sK7(X4),X5,X0)
| ~ id(sK5(X4),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_48])]) ).
fof(f601,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r2(X0,X1)
| ~ r1(X0)
| ~ r2(X1,X2)
| ~ id(sK3(sK18(sK7(X2),X3)),X4)
| ~ id(sK5(X2),X4) )
| ~ spl20_48
| ~ spl20_70 ),
inference(resolution,[],[f550,f421]) ).
fof(f421,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ r3(sK7(X4),X5,X0)
| ~ r2(X2,X3)
| ~ r1(X2)
| ~ r2(X3,X4)
| ~ id(X0,X1)
| ~ id(sK5(X4),X1) )
| ~ spl20_48 ),
inference(avatar_component_clause,[],[f420]) ).
fof(f1440,plain,
( spl20_137
| ~ spl20_12
| ~ spl20_56 ),
inference(avatar_split_clause,[],[f485,f482,f175,f1438]) ).
fof(f485,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r2(X0,X1)
| ~ r1(X0)
| ~ r2(X1,X2)
| ~ id(sK3(sK12(X2,X3)),X4)
| ~ id(sK11(X2,X3),X4) )
| ~ spl20_12
| ~ spl20_56 ),
inference(resolution,[],[f483,f176]) ).
fof(f1436,plain,
( spl20_136
| ~ spl20_9
| ~ spl20_49 ),
inference(avatar_split_clause,[],[f437,f424,f160,f1434]) ).
fof(f1434,plain,
( spl20_136
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ r2(X0,X1)
| ~ r1(X0)
| ~ r2(X1,X2)
| ~ r3(X3,X4,X5)
| ~ id(X5,sK19)
| ~ r1(sK10(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_136])]) ).
fof(f437,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ r2(X0,X1)
| ~ r1(X0)
| ~ r2(X1,X2)
| ~ r3(X3,X4,X5)
| ~ id(X5,sK19)
| ~ r1(sK10(X2,X3)) )
| ~ spl20_9
| ~ spl20_49 ),
inference(resolution,[],[f425,f161]) ).
fof(f1397,plain,
( spl20_135
| ~ spl20_1
| ~ spl20_52 ),
inference(avatar_split_clause,[],[f1132,f447,f128,f1395]) ).
fof(f1395,plain,
( spl20_135
<=> ! [X2,X0,X1] :
( ~ r1(X0)
| ~ r2(X1,X2)
| ~ r2(X0,X1)
| ~ id(sK5(X2),sK3(sK7(X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_135])]) ).
fof(f1132,plain,
( ! [X2,X0,X1] :
( ~ r1(X0)
| ~ r2(X1,X2)
| ~ r2(X0,X1)
| ~ id(sK5(X2),sK3(sK7(X2))) )
| ~ spl20_1
| ~ spl20_52 ),
inference(resolution,[],[f448,f129]) ).
fof(f1381,plain,
( spl20_134
| ~ spl20_48
| ~ spl20_60 ),
inference(avatar_split_clause,[],[f510,f501,f420,f1379]) ).
fof(f510,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r2(X0,X1)
| ~ r1(X0)
| ~ r2(X1,X2)
| ~ id(sK18(sK7(X2),X3),X4)
| ~ id(sK5(X2),X4) )
| ~ spl20_48
| ~ spl20_60 ),
inference(resolution,[],[f502,f421]) ).
fof(f1377,plain,
( spl20_133
| ~ spl20_36
| ~ spl20_49 ),
inference(avatar_split_clause,[],[f433,f424,f311,f1375]) ).
fof(f1375,plain,
( spl20_133
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ r2(X0,X1)
| ~ r1(X0)
| ~ r2(X1,X2)
| ~ r3(X3,X4,X5)
| ~ id(X5,sK3(sK10(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_133])]) ).
fof(f433,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ r2(X0,X1)
| ~ r1(X0)
| ~ r2(X1,X2)
| ~ r3(X3,X4,X5)
| ~ id(X5,sK3(sK10(X2,X3))) )
| ~ spl20_36
| ~ spl20_49 ),
inference(resolution,[],[f425,f312]) ).
fof(f1373,plain,
( spl20_132
| ~ spl20_32
| ~ spl20_48 ),
inference(avatar_split_clause,[],[f429,f420,f287,f1371]) ).
fof(f429,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r2(X0,X1)
| ~ r1(X0)
| ~ r2(X1,X2)
| ~ id(sK15(sK7(X2),X3),X4)
| ~ id(sK5(X2),X4) )
| ~ spl20_32
| ~ spl20_48 ),
inference(resolution,[],[f421,f288]) ).
fof(f1369,plain,
( spl20_131
| ~ spl20_17
| ~ spl20_48 ),
inference(avatar_split_clause,[],[f428,f420,f196,f1367]) ).
fof(f428,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r2(X0,X1)
| ~ r1(X0)
| ~ r2(X1,X2)
| ~ id(sK14(sK7(X2),X3),X4)
| ~ id(sK5(X2),X4) )
| ~ spl20_17
| ~ spl20_48 ),
inference(resolution,[],[f421,f197]) ).
fof(f1294,plain,
( spl20_130
| ~ spl20_31
| ~ spl20_47 ),
inference(avatar_split_clause,[],[f414,f394,f283,f1292]) ).
fof(f1292,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(f394,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(f414,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,[],[f395,f284]) ).
fof(f395,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,[],[f394]) ).
fof(f1290,plain,
( spl20_129
| ~ spl20_32
| ~ spl20_47 ),
inference(avatar_split_clause,[],[f413,f394,f287,f1288]) ).
fof(f1288,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(f413,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,[],[f395,f288]) ).
fof(f1286,plain,
( spl20_128
| ~ spl20_31
| ~ spl20_46 ),
inference(avatar_split_clause,[],[f410,f390,f283,f1284]) ).
fof(f1284,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(f390,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(f410,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,[],[f391,f284]) ).
fof(f391,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,[],[f390]) ).
fof(f1282,plain,
( spl20_127
| ~ spl20_32
| ~ spl20_46 ),
inference(avatar_split_clause,[],[f409,f390,f287,f1280]) ).
fof(f1280,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(f409,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,[],[f391,f288]) ).
fof(f1278,plain,
( spl20_126
| ~ spl20_30
| ~ spl20_45 ),
inference(avatar_split_clause,[],[f406,f386,f279,f1276]) ).
fof(f1276,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(f386,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(f406,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,[],[f387,f280]) ).
fof(f387,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,[],[f386]) ).
fof(f1274,plain,
( spl20_125
| ~ spl20_30
| ~ spl20_44 ),
inference(avatar_split_clause,[],[f399,f382,f279,f1272]) ).
fof(f1272,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(f382,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(f399,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,[],[f383,f280]) ).
fof(f383,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,[],[f382]) ).
fof(f1246,plain,
( spl20_124
| ~ spl20_5
| ~ spl20_52 ),
inference(avatar_split_clause,[],[f1131,f447,f144,f1244]) ).
fof(f1244,plain,
( spl20_124
<=> ! [X2,X0,X1] :
( ~ r1(X0)
| ~ r2(X1,X2)
| ~ r2(X0,X1)
| ~ id(sK5(X2),sK7(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_124])]) ).
fof(f1131,plain,
( ! [X2,X0,X1] :
( ~ r1(X0)
| ~ r2(X1,X2)
| ~ r2(X0,X1)
| ~ id(sK5(X2),sK7(X2)) )
| ~ spl20_5
| ~ spl20_52 ),
inference(resolution,[],[f448,f145]) ).
fof(f1147,plain,
( spl20_123
| ~ spl20_17
| ~ spl20_47 ),
inference(avatar_split_clause,[],[f412,f394,f196,f1145]) ).
fof(f412,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,[],[f395,f197]) ).
fof(f1130,plain,
( spl20_122
| ~ spl20_12
| ~ spl20_47 ),
inference(avatar_split_clause,[],[f411,f394,f175,f1128]) ).
fof(f411,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,[],[f395,f176]) ).
fof(f1126,plain,
( spl20_121
| ~ spl20_17
| ~ spl20_46 ),
inference(avatar_split_clause,[],[f408,f390,f196,f1124]) ).
fof(f408,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,[],[f391,f197]) ).
fof(f1122,plain,
( spl20_120
| ~ spl20_12
| ~ spl20_46 ),
inference(avatar_split_clause,[],[f407,f390,f175,f1120]) ).
fof(f407,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,[],[f391,f176]) ).
fof(f1118,plain,
( spl20_119
| ~ spl20_16
| ~ spl20_45 ),
inference(avatar_split_clause,[],[f405,f386,f192,f1116]) ).
fof(f405,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,[],[f387,f193]) ).
fof(f1114,plain,
( spl20_118
| ~ spl20_14
| ~ spl20_45 ),
inference(avatar_split_clause,[],[f404,f386,f184,f1112]) ).
fof(f404,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,[],[f387,f185]) ).
fof(f1110,plain,
( spl20_117
| ~ spl20_16
| ~ spl20_44 ),
inference(avatar_split_clause,[],[f398,f382,f192,f1108]) ).
fof(f398,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,[],[f383,f193]) ).
fof(f1106,plain,
( spl20_116
| ~ spl20_14
| ~ spl20_44 ),
inference(avatar_split_clause,[],[f397,f382,f184,f1104]) ).
fof(f397,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,[],[f383,f185]) ).
fof(f1102,plain,
( spl20_115
| ~ spl20_33
| ~ spl20_43 ),
inference(avatar_split_clause,[],[f379,f363,f299,f1100]) ).
fof(f299,plain,
( spl20_33
<=> ! [X0] :
( r2(sK0(X0),sK1(X0))
| id(X0,sK2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_33])]) ).
fof(f379,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,[],[f364,f300]) ).
fof(f300,plain,
( ! [X0] :
( r2(sK0(X0),sK1(X0))
| id(X0,sK2(X0)) )
| ~ spl20_33 ),
inference(avatar_component_clause,[],[f299]) ).
fof(f1098,plain,
( spl20_114
| ~ spl20_33
| ~ spl20_42 ),
inference(avatar_split_clause,[],[f374,f359,f299,f1096]) ).
fof(f374,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,[],[f360,f300]) ).
fof(f1094,plain,
( spl20_113
| ~ spl20_33
| ~ spl20_40 ),
inference(avatar_split_clause,[],[f369,f351,f299,f1092]) ).
fof(f369,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,[],[f352,f300]) ).
fof(f1048,plain,
( spl20_112
| ~ spl20_28
| ~ spl20_43 ),
inference(avatar_split_clause,[],[f380,f363,f271,f1046]) ).
fof(f380,plain,
( ! [X2,X0,X1] :
( r2(X0,X1)
| ~ id(sK1(X2),X1)
| ~ id(sK0(X2),X0)
| r1(sK2(X2)) )
| ~ spl20_28
| ~ spl20_43 ),
inference(resolution,[],[f364,f272]) ).
fof(f1044,plain,
( spl20_111
| ~ spl20_28
| ~ spl20_42 ),
inference(avatar_split_clause,[],[f375,f359,f271,f1042]) ).
fof(f375,plain,
( ! [X2,X0,X1] :
( r2(X0,X1)
| ~ id(X1,sK1(X2))
| ~ id(X0,sK0(X2))
| r1(sK2(X2)) )
| ~ spl20_28
| ~ spl20_42 ),
inference(resolution,[],[f360,f272]) ).
fof(f1040,plain,
( spl20_110
| ~ spl20_28
| ~ spl20_40 ),
inference(avatar_split_clause,[],[f370,f351,f271,f1038]) ).
fof(f370,plain,
( ! [X2,X0,X1] :
( id(X0,sK0(X1))
| ~ r2(X0,X2)
| ~ id(X2,sK1(X1))
| r1(sK2(X1)) )
| ~ spl20_28
| ~ spl20_40 ),
inference(resolution,[],[f352,f272]) ).
fof(f1006,plain,
( spl20_109
| ~ spl20_25
| ~ spl20_43 ),
inference(avatar_split_clause,[],[f378,f363,f234,f1004]) ).
fof(f378,plain,
( ! [X2,X3,X0,X1] :
( r2(X0,X1)
| ~ id(sK13(X2,X3),X1)
| ~ id(sK14(X2,X3),X0) )
| ~ spl20_25
| ~ spl20_43 ),
inference(resolution,[],[f364,f235]) ).
fof(f1002,plain,
( spl20_108
| ~ spl20_25
| ~ spl20_42 ),
inference(avatar_split_clause,[],[f373,f359,f234,f1000]) ).
fof(f373,plain,
( ! [X2,X3,X0,X1] :
( r2(X0,X1)
| ~ id(X1,sK13(X2,X3))
| ~ id(X0,sK14(X2,X3)) )
| ~ spl20_25
| ~ spl20_42 ),
inference(resolution,[],[f360,f235]) ).
fof(f998,plain,
( spl20_107
| ~ spl20_25
| ~ spl20_40 ),
inference(avatar_split_clause,[],[f368,f351,f234,f996]) ).
fof(f368,plain,
( ! [X2,X3,X0,X1] :
( id(X0,sK14(X1,X2))
| ~ r2(X0,X3)
| ~ id(X3,sK13(X1,X2)) )
| ~ spl20_25
| ~ spl20_40 ),
inference(resolution,[],[f352,f235]) ).
fof(f983,plain,
( spl20_106
| ~ spl20_37
| ~ spl20_39 ),
inference(avatar_split_clause,[],[f348,f323,f315,f981]) ).
fof(f348,plain,
( ! [X2,X3,X0,X1] :
( id(X0,sK18(X1,X2))
| ~ id(X0,X3)
| ~ r3(X1,X2,X3) )
| ~ spl20_37
| ~ spl20_39 ),
inference(resolution,[],[f324,f316]) ).
fof(f979,plain,
( spl20_105
| ~ spl20_34
| ~ spl20_39 ),
inference(avatar_split_clause,[],[f347,f323,f303,f977]) ).
fof(f347,plain,
( ! [X2,X3,X0,X1] :
( id(X0,sK17(X1,X2))
| ~ id(X0,X3)
| ~ r4(X1,X2,X3) )
| ~ spl20_34
| ~ spl20_39 ),
inference(resolution,[],[f324,f304]) ).
fof(f905,plain,
( spl20_104
| ~ spl20_8
| ~ spl20_43 ),
inference(avatar_split_clause,[],[f377,f363,f156,f903]) ).
fof(f377,plain,
( ! [X2,X3,X0,X1] :
( r2(X0,X1)
| ~ id(sK16(X2,X3),X1)
| ~ id(X3,X0) )
| ~ spl20_8
| ~ spl20_43 ),
inference(resolution,[],[f364,f157]) ).
fof(f901,plain,
( spl20_103
| ~ spl20_7
| ~ spl20_43 ),
inference(avatar_split_clause,[],[f376,f363,f152,f899]) ).
fof(f376,plain,
( ! [X2,X3,X0,X1] :
( r2(X0,X1)
| ~ id(sK12(X2,X3),X1)
| ~ id(X3,X0) )
| ~ spl20_7
| ~ spl20_43 ),
inference(resolution,[],[f364,f153]) ).
fof(f897,plain,
( spl20_102
| ~ spl20_8
| ~ spl20_42 ),
inference(avatar_split_clause,[],[f372,f359,f156,f895]) ).
fof(f372,plain,
( ! [X2,X3,X0,X1] :
( r2(X0,X1)
| ~ id(X1,sK16(X2,X3))
| ~ id(X0,X3) )
| ~ spl20_8
| ~ spl20_42 ),
inference(resolution,[],[f360,f157]) ).
fof(f893,plain,
( spl20_101
| ~ spl20_7
| ~ spl20_42 ),
inference(avatar_split_clause,[],[f371,f359,f152,f891]) ).
fof(f371,plain,
( ! [X2,X3,X0,X1] :
( r2(X0,X1)
| ~ id(X1,sK12(X2,X3))
| ~ id(X0,X3) )
| ~ spl20_7
| ~ spl20_42 ),
inference(resolution,[],[f360,f153]) ).
fof(f889,plain,
( spl20_100
| ~ spl20_8
| ~ spl20_40 ),
inference(avatar_split_clause,[],[f367,f351,f156,f887]) ).
fof(f367,plain,
( ! [X2,X3,X0,X1] :
( id(X0,X1)
| ~ r2(X0,X2)
| ~ id(X2,sK16(X3,X1)) )
| ~ spl20_8
| ~ spl20_40 ),
inference(resolution,[],[f352,f157]) ).
fof(f885,plain,
( spl20_99
| ~ spl20_7
| ~ spl20_40 ),
inference(avatar_split_clause,[],[f366,f351,f152,f883]) ).
fof(f366,plain,
( ! [X2,X3,X0,X1] :
( id(X0,X1)
| ~ r2(X0,X2)
| ~ id(X2,sK12(X3,X1)) )
| ~ spl20_7
| ~ spl20_40 ),
inference(resolution,[],[f352,f153]) ).
fof(f881,plain,
( spl20_98
| ~ spl20_27
| ~ spl20_39 ),
inference(avatar_split_clause,[],[f342,f323,f267,f879]) ).
fof(f342,plain,
( ! [X0,X1] :
( id(X0,sK2(X1))
| ~ id(X0,X1)
| id(X1,sK1(X1)) )
| ~ spl20_27
| ~ spl20_39 ),
inference(resolution,[],[f324,f268]) ).
fof(f811,plain,
( spl20_97
| ~ spl20_24
| ~ spl20_39 ),
inference(avatar_split_clause,[],[f346,f323,f230,f809]) ).
fof(f346,plain,
( ! [X2,X0,X1] :
( id(X0,sK13(X1,X2))
| ~ id(X0,sK15(X1,X2)) )
| ~ spl20_24
| ~ spl20_39 ),
inference(resolution,[],[f324,f231]) ).
fof(f807,plain,
( spl20_96
| ~ spl20_1
| ~ spl20_68 ),
inference(avatar_split_clause,[],[f591,f541,f128,f805]) ).
fof(f805,plain,
( spl20_96
<=> ! [X0,X1] : ~ r1(sK13(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_96])]) ).
fof(f591,plain,
( ! [X0,X1] : ~ r1(sK13(X0,X1))
| ~ spl20_1
| ~ spl20_68 ),
inference(resolution,[],[f542,f129]) ).
fof(f803,plain,
( spl20_95
| ~ spl20_23
| ~ spl20_39 ),
inference(avatar_split_clause,[],[f345,f323,f226,f801]) ).
fof(f345,plain,
( ! [X2,X0,X1] :
( id(X0,sK9(X1,X2))
| ~ id(X0,sK11(X1,X2)) )
| ~ spl20_23
| ~ spl20_39 ),
inference(resolution,[],[f324,f227]) ).
fof(f799,plain,
( spl20_94
| ~ spl20_19
| ~ spl20_39 ),
inference(avatar_split_clause,[],[f344,f323,f210,f797]) ).
fof(f344,plain,
( ! [X2,X0,X1] :
( id(X0,sK8(X1))
| ~ id(X0,X2)
| ~ r2(X1,X2) )
| ~ spl20_19
| ~ spl20_39 ),
inference(resolution,[],[f324,f211]) ).
fof(f795,plain,
( spl20_93
| ~ spl20_18
| ~ spl20_39 ),
inference(avatar_split_clause,[],[f341,f323,f206,f793]) ).
fof(f341,plain,
( ! [X0,X1] :
( id(X0,sK1(X1))
| ~ id(X0,X1)
| r1(sK2(X1)) )
| ~ spl20_18
| ~ spl20_39 ),
inference(resolution,[],[f324,f207]) ).
fof(f791,plain,
( spl20_92
| ~ spl20_21
| ~ spl20_37 ),
inference(avatar_split_clause,[],[f334,f315,f218,f789]) ).
fof(f334,plain,
( ! [X2,X0,X1] :
( ~ r3(X0,X1,X2)
| ~ r1(sK18(X0,X1))
| r1(X2) )
| ~ spl20_21
| ~ spl20_37 ),
inference(resolution,[],[f316,f219]) ).
fof(f787,plain,
( spl20_91
| ~ spl20_22
| ~ spl20_37 ),
inference(avatar_split_clause,[],[f333,f315,f222,f785]) ).
fof(f333,plain,
( ! [X2,X0,X1] :
( ~ r3(X0,X1,X2)
| ~ r1(X2)
| r1(sK18(X0,X1)) )
| ~ spl20_22
| ~ spl20_37 ),
inference(resolution,[],[f316,f223]) ).
fof(f783,plain,
( spl20_90
| ~ spl20_21
| ~ spl20_34 ),
inference(avatar_split_clause,[],[f328,f303,f218,f781]) ).
fof(f328,plain,
( ! [X2,X0,X1] :
( ~ r4(X0,X1,X2)
| ~ r1(sK17(X0,X1))
| r1(X2) )
| ~ spl20_21
| ~ spl20_34 ),
inference(resolution,[],[f304,f219]) ).
fof(f779,plain,
( spl20_89
| ~ spl20_22
| ~ spl20_34 ),
inference(avatar_split_clause,[],[f327,f303,f222,f777]) ).
fof(f327,plain,
( ! [X2,X0,X1] :
( ~ r4(X0,X1,X2)
| ~ r1(X2)
| r1(sK17(X0,X1)) )
| ~ spl20_22
| ~ spl20_34 ),
inference(resolution,[],[f304,f223]) ).
fof(f775,plain,
( spl20_88
| ~ spl20_29
| ~ spl20_33 ),
inference(avatar_split_clause,[],[f326,f299,f275,f773]) ).
fof(f326,plain,
( ! [X0,X1] :
( id(X0,sK2(X0))
| ~ r1(X1)
| ~ id(X1,sK1(X0)) )
| ~ spl20_29
| ~ spl20_33 ),
inference(resolution,[],[f300,f276]) ).
fof(f741,plain,
( spl20_87
| ~ spl20_24
| ~ spl20_68 ),
inference(avatar_split_clause,[],[f590,f541,f230,f739]) ).
fof(f739,plain,
( spl20_87
<=> ! [X0,X1] : ~ r1(sK15(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_87])]) ).
fof(f590,plain,
( ! [X0,X1] : ~ r1(sK15(X0,X1))
| ~ spl20_24
| ~ spl20_68 ),
inference(resolution,[],[f542,f231]) ).
fof(f721,plain,
( spl20_86
| ~ spl20_15
| ~ spl20_37 ),
inference(avatar_split_clause,[],[f335,f315,f188,f719]) ).
fof(f335,plain,
( ! [X2,X0,X1] :
( ~ r3(X0,X1,X2)
| id(sK18(X0,X1),X2) )
| ~ spl20_15
| ~ spl20_37 ),
inference(resolution,[],[f316,f189]) ).
fof(f717,plain,
( spl20_85
| ~ spl20_15
| ~ spl20_34 ),
inference(avatar_split_clause,[],[f329,f303,f188,f715]) ).
fof(f329,plain,
( ! [X2,X0,X1] :
( ~ r4(X0,X1,X2)
| id(sK17(X0,X1),X2) )
| ~ spl20_15
| ~ spl20_34 ),
inference(resolution,[],[f304,f189]) ).
fof(f713,plain,
( spl20_84
| ~ spl20_28
| ~ spl20_29 ),
inference(avatar_split_clause,[],[f296,f275,f271,f711]) ).
fof(f296,plain,
( ! [X0,X1] :
( ~ r1(X0)
| ~ id(X0,sK1(X1))
| r1(sK2(X1)) )
| ~ spl20_28
| ~ spl20_29 ),
inference(resolution,[],[f276,f272]) ).
fof(f709,plain,
( spl20_83
| ~ spl20_21
| ~ spl20_27 ),
inference(avatar_split_clause,[],[f291,f267,f218,f707]) ).
fof(f291,plain,
( ! [X0] :
( id(X0,sK1(X0))
| ~ r1(sK2(X0))
| r1(X0) )
| ~ spl20_21
| ~ spl20_27 ),
inference(resolution,[],[f268,f219]) ).
fof(f666,plain,
( spl20_82
| ~ spl20_1
| ~ spl20_67 ),
inference(avatar_split_clause,[],[f585,f537,f128,f664]) ).
fof(f664,plain,
( spl20_82
<=> ! [X0,X1] : ~ r1(sK16(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_82])]) ).
fof(f585,plain,
( ! [X0,X1] : ~ r1(sK16(X0,X1))
| ~ spl20_1
| ~ spl20_67 ),
inference(resolution,[],[f538,f129]) ).
fof(f648,plain,
( spl20_81
| ~ spl20_9
| ~ spl20_39 ),
inference(avatar_split_clause,[],[f349,f323,f160,f646]) ).
fof(f349,plain,
( ! [X0,X1] :
( id(X0,sK19)
| ~ id(X0,X1)
| ~ r1(X1) )
| ~ spl20_9
| ~ spl20_39 ),
inference(resolution,[],[f324,f161]) ).
fof(f644,plain,
( spl20_80
| ~ spl20_6
| ~ spl20_39 ),
inference(avatar_split_clause,[],[f343,f323,f148,f642]) ).
fof(f343,plain,
( ! [X0,X1] :
( id(X0,sK6(X1))
| ~ id(X0,sK5(X1)) )
| ~ spl20_6
| ~ spl20_39 ),
inference(resolution,[],[f324,f149]) ).
fof(f640,plain,
( spl20_79
| ~ spl20_15
| ~ spl20_27 ),
inference(avatar_split_clause,[],[f292,f267,f188,f638]) ).
fof(f292,plain,
( ! [X0] :
( id(X0,sK1(X0))
| id(sK2(X0),X0) )
| ~ spl20_15
| ~ spl20_27 ),
inference(resolution,[],[f268,f189]) ).
fof(f636,plain,
( spl20_78
| ~ spl20_21
| ~ spl20_23 ),
inference(avatar_split_clause,[],[f261,f226,f218,f634]) ).
fof(f634,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(f632,plain,
( spl20_77
| ~ spl20_22
| ~ spl20_23 ),
inference(avatar_split_clause,[],[f260,f226,f222,f630]) ).
fof(f630,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(f628,plain,
( spl20_76
| ~ spl20_1
| ~ spl20_66 ),
inference(avatar_split_clause,[],[f580,f533,f128,f626]) ).
fof(f626,plain,
( spl20_76
<=> ! [X0,X1] : ~ r1(sK12(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_76])]) ).
fof(f580,plain,
( ! [X0,X1] : ~ r1(sK12(X0,X1))
| ~ spl20_1
| ~ spl20_66 ),
inference(resolution,[],[f534,f129]) ).
fof(f624,plain,
( spl20_75
| ~ spl20_19
| ~ spl20_22 ),
inference(avatar_split_clause,[],[f257,f222,f210,f622]) ).
fof(f622,plain,
( spl20_75
<=> ! [X0,X1] :
( ~ r1(X0)
| r1(sK8(X1))
| ~ r2(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_75])]) ).
fof(f257,plain,
( ! [X0,X1] :
( ~ r1(X0)
| r1(sK8(X1))
| ~ r2(X1,X0) )
| ~ spl20_19
| ~ spl20_22 ),
inference(resolution,[],[f223,f211]) ).
fof(f620,plain,
( spl20_74
| ~ spl20_18
| ~ spl20_22 ),
inference(avatar_split_clause,[],[f255,f222,f206,f618]) ).
fof(f618,plain,
( spl20_74
<=> ! [X0] :
( ~ r1(X0)
| r1(sK1(X0))
| r1(sK2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_74])]) ).
fof(f255,plain,
( ! [X0] :
( ~ r1(X0)
| r1(sK1(X0))
| r1(sK2(X0)) )
| ~ spl20_18
| ~ spl20_22 ),
inference(resolution,[],[f223,f207]) ).
fof(f616,plain,
( spl20_73
| ~ spl20_19
| ~ spl20_21 ),
inference(avatar_split_clause,[],[f251,f218,f210,f614]) ).
fof(f614,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(f612,plain,
( spl20_72
| ~ spl20_18
| ~ spl20_21 ),
inference(avatar_split_clause,[],[f249,f218,f206,f610]) ).
fof(f610,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(f555,plain,
( spl20_71
| ~ spl20_5
| ~ spl20_39 ),
inference(avatar_split_clause,[],[f340,f323,f144,f553]) ).
fof(f340,plain,
( ! [X0,X1] :
( id(X0,X1)
| ~ id(X0,sK3(X1)) )
| ~ spl20_5
| ~ spl20_39 ),
inference(resolution,[],[f324,f145]) ).
fof(f551,plain,
( spl20_70
| ~ spl20_5
| ~ spl20_38 ),
inference(avatar_split_clause,[],[f338,f319,f144,f549]) ).
fof(f338,plain,
( ! [X0,X1] : r3(X0,X1,sK3(sK18(X0,X1)))
| ~ spl20_5
| ~ spl20_38 ),
inference(resolution,[],[f320,f145]) ).
fof(f547,plain,
( spl20_69
| ~ spl20_5
| ~ spl20_35 ),
inference(avatar_split_clause,[],[f332,f307,f144,f545]) ).
fof(f332,plain,
( ! [X0,X1] : r4(X0,X1,sK3(sK17(X0,X1)))
| ~ spl20_5
| ~ spl20_35 ),
inference(resolution,[],[f308,f145]) ).
fof(f543,plain,
( spl20_68
| ~ spl20_25
| ~ spl20_29 ),
inference(avatar_split_clause,[],[f295,f275,f234,f541]) ).
fof(f295,plain,
( ! [X2,X0,X1] :
( ~ r1(X0)
| ~ id(X0,sK13(X1,X2)) )
| ~ spl20_25
| ~ spl20_29 ),
inference(resolution,[],[f276,f235]) ).
fof(f539,plain,
( spl20_67
| ~ spl20_8
| ~ spl20_29 ),
inference(avatar_split_clause,[],[f294,f275,f156,f537]) ).
fof(f294,plain,
( ! [X2,X0,X1] :
( ~ r1(X0)
| ~ id(X0,sK16(X1,X2)) )
| ~ spl20_8
| ~ spl20_29 ),
inference(resolution,[],[f276,f157]) ).
fof(f535,plain,
( spl20_66
| ~ spl20_7
| ~ spl20_29 ),
inference(avatar_split_clause,[],[f293,f275,f152,f533]) ).
fof(f293,plain,
( ! [X2,X0,X1] :
( ~ r1(X0)
| ~ id(X0,sK12(X1,X2)) )
| ~ spl20_7
| ~ spl20_29 ),
inference(resolution,[],[f276,f153]) ).
fof(f531,plain,
( spl20_65
| ~ spl20_4
| ~ spl20_58 ),
inference(avatar_split_clause,[],[f504,f493,f140,f529]) ).
fof(f493,plain,
( spl20_58
<=> ! [X0] :
( ~ r1(sK6(X0))
| r1(sK5(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_58])]) ).
fof(f504,plain,
( ! [X0] : r1(sK5(X0))
| ~ spl20_4
| ~ spl20_58 ),
inference(resolution,[],[f494,f141]) ).
fof(f494,plain,
( ! [X0] :
( ~ r1(sK6(X0))
| r1(sK5(X0)) )
| ~ spl20_58 ),
inference(avatar_component_clause,[],[f493]) ).
fof(f527,plain,
( spl20_64
| ~ spl20_15
| ~ spl20_24 ),
inference(avatar_split_clause,[],[f265,f230,f188,f525]) ).
fof(f265,plain,
( ! [X0,X1] : id(sK13(X0,X1),sK15(X0,X1))
| ~ spl20_15
| ~ spl20_24 ),
inference(resolution,[],[f231,f189]) ).
fof(f523,plain,
( spl20_63
| ~ spl20_15
| ~ spl20_23 ),
inference(avatar_split_clause,[],[f262,f226,f188,f521]) ).
fof(f262,plain,
( ! [X0,X1] : id(sK9(X0,X1),sK11(X0,X1))
| ~ spl20_15
| ~ spl20_23 ),
inference(resolution,[],[f227,f189]) ).
fof(f519,plain,
( spl20_62
| ~ spl20_15
| ~ spl20_19 ),
inference(avatar_split_clause,[],[f238,f210,f188,f517]) ).
fof(f238,plain,
( ! [X0,X1] :
( ~ r2(X0,X1)
| id(sK8(X0),X1) )
| ~ spl20_15
| ~ spl20_19 ),
inference(resolution,[],[f211,f189]) ).
fof(f515,plain,
( spl20_61
| ~ spl20_15
| ~ spl20_18 ),
inference(avatar_split_clause,[],[f237,f206,f188,f513]) ).
fof(f237,plain,
( ! [X0] :
( r1(sK2(X0))
| id(sK1(X0),X0) )
| ~ spl20_15
| ~ spl20_18 ),
inference(resolution,[],[f207,f189]) ).
fof(f503,plain,
( spl20_60
| ~ spl20_1
| ~ spl20_38 ),
inference(avatar_split_clause,[],[f337,f319,f128,f501]) ).
fof(f337,plain,
( ! [X0,X1] : r3(X0,X1,sK18(X0,X1))
| ~ spl20_1
| ~ spl20_38 ),
inference(resolution,[],[f320,f129]) ).
fof(f499,plain,
( spl20_59
| ~ spl20_1
| ~ spl20_35 ),
inference(avatar_split_clause,[],[f331,f307,f128,f497]) ).
fof(f331,plain,
( ! [X0,X1] : r4(X0,X1,sK17(X0,X1))
| ~ spl20_1
| ~ spl20_35 ),
inference(resolution,[],[f308,f129]) ).
fof(f495,plain,
( spl20_58
| ~ spl20_6
| ~ spl20_21 ),
inference(avatar_split_clause,[],[f250,f218,f148,f493]) ).
fof(f250,plain,
( ! [X0] :
( ~ r1(sK6(X0))
| r1(sK5(X0)) )
| ~ spl20_6
| ~ spl20_21 ),
inference(resolution,[],[f219,f149]) ).
fof(f491,plain,
( spl20_57
| ~ spl20_1
| ~ spl20_49 ),
inference(avatar_split_clause,[],[f430,f424,f128,f489]) ).
fof(f430,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ r2(X0,X1)
| ~ r1(X0)
| ~ r2(X1,X2)
| ~ r3(X3,X4,X5)
| ~ id(X5,sK10(X2,X3)) )
| ~ spl20_1
| ~ spl20_49 ),
inference(resolution,[],[f425,f129]) ).
fof(f484,plain,
( spl20_56
| ~ spl20_11
| ~ spl20_30 ),
inference(avatar_split_clause,[],[f297,f279,f171,f482]) ).
fof(f297,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ id(X0,X1)
| ~ r2(X2,X3)
| ~ r1(X2)
| ~ r2(X3,X4)
| ~ r3(sK12(X4,X5),X6,X0)
| ~ id(sK11(X4,X5),X1) )
| ~ spl20_11
| ~ spl20_30 ),
inference(resolution,[],[f280,f172]) ).
fof(f461,plain,
( spl20_55
| ~ spl20_5
| ~ spl20_22 ),
inference(avatar_split_clause,[],[f254,f222,f144,f459]) ).
fof(f459,plain,
( spl20_55
<=> ! [X0] :
( ~ r1(sK3(X0))
| r1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_55])]) ).
fof(f254,plain,
( ! [X0] :
( ~ r1(sK3(X0))
| r1(X0) )
| ~ spl20_5
| ~ spl20_22 ),
inference(resolution,[],[f223,f145]) ).
fof(f457,plain,
( spl20_54
| ~ spl20_5
| ~ spl20_21 ),
inference(avatar_split_clause,[],[f248,f218,f144,f455]) ).
fof(f455,plain,
( spl20_54
<=> ! [X0] :
( ~ r1(X0)
| r1(sK3(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_54])]) ).
fof(f248,plain,
( ! [X0] :
( ~ r1(X0)
| r1(sK3(X0)) )
| ~ spl20_5
| ~ spl20_21 ),
inference(resolution,[],[f219,f145]) ).
fof(f453,plain,
( spl20_53
| ~ spl20_5
| ~ spl20_20 ),
inference(avatar_split_clause,[],[f241,f214,f144,f451]) ).
fof(f241,plain,
( ! [X0] : r2(X0,sK3(sK8(X0)))
| ~ spl20_5
| ~ spl20_20 ),
inference(resolution,[],[f215,f145]) ).
fof(f449,plain,
( spl20_52
| ~ spl20_12
| ~ spl20_48 ),
inference(avatar_split_clause,[],[f427,f420,f175,f447]) ).
fof(f427,plain,
( ! [X2,X3,X0,X1] :
( ~ r2(X0,X1)
| ~ r1(X0)
| ~ r2(X1,X2)
| ~ id(sK3(sK7(X2)),X3)
| ~ id(sK5(X2),X3) )
| ~ spl20_12
| ~ spl20_48 ),
inference(resolution,[],[f421,f176]) ).
fof(f445,plain,
( spl20_51
| ~ spl20_9
| ~ spl20_15 ),
inference(avatar_split_clause,[],[f203,f188,f160,f443]) ).
fof(f203,plain,
( ! [X0] :
( id(sK19,X0)
| ~ r1(X0) )
| ~ spl20_9
| ~ spl20_15 ),
inference(resolution,[],[f189,f161]) ).
fof(f441,plain,
( spl20_50
| ~ spl20_6
| ~ spl20_15 ),
inference(avatar_split_clause,[],[f202,f188,f148,f439]) ).
fof(f202,plain,
( ! [X0] : id(sK6(X0),sK5(X0))
| ~ spl20_6
| ~ spl20_15 ),
inference(resolution,[],[f189,f149]) ).
fof(f426,plain,
( spl20_49
| ~ spl20_11
| ~ spl20_16 ),
inference(avatar_split_clause,[],[f204,f192,f171,f424]) ).
fof(f204,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ id(X0,X1)
| ~ r2(X2,X3)
| ~ r1(X2)
| ~ r2(X3,X4)
| ~ r3(X5,X6,X0)
| ~ id(sK10(X4,X5),X1) )
| ~ spl20_11
| ~ spl20_16 ),
inference(resolution,[],[f193,f172]) ).
fof(f422,plain,
( spl20_48
| ~ spl20_11
| ~ spl20_14 ),
inference(avatar_split_clause,[],[f199,f184,f171,f420]) ).
fof(f199,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ id(X0,X1)
| ~ r2(X2,X3)
| ~ r1(X2)
| ~ r2(X3,X4)
| ~ r3(sK7(X4),X5,X0)
| ~ id(sK5(X4),X1) )
| ~ spl20_11
| ~ spl20_14 ),
inference(resolution,[],[f185,f172]) ).
fof(f396,plain,
spl20_47,
inference(avatar_split_clause,[],[f121,f394]) ).
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/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f392,plain,
spl20_46,
inference(avatar_split_clause,[],[f120,f390]) ).
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(f388,plain,
spl20_45,
inference(avatar_split_clause,[],[f117,f386]) ).
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/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f384,plain,
spl20_44,
inference(avatar_split_clause,[],[f116,f382]) ).
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(f365,plain,
spl20_43,
inference(avatar_split_clause,[],[f113,f363]) ).
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/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f361,plain,
spl20_42,
inference(avatar_split_clause,[],[f112,f359]) ).
fof(f112,plain,
! [X2,X3,X0,X1] :
( r2(X0,X1)
| ~ r2(X2,X3)
| ~ id(X1,X3)
| ~ id(X0,X2) ),
inference(cnf_transformation,[],[f36]) ).
fof(f357,plain,
( spl20_41
| ~ spl20_1
| ~ spl20_20 ),
inference(avatar_split_clause,[],[f240,f214,f128,f355]) ).
fof(f240,plain,
( ! [X0] : r2(X0,sK8(X0))
| ~ spl20_1
| ~ spl20_20 ),
inference(resolution,[],[f215,f129]) ).
fof(f353,plain,
spl20_40,
inference(avatar_split_clause,[],[f91,f351]) ).
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/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f325,plain,
spl20_39,
inference(avatar_split_clause,[],[f110,f323]) ).
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/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f321,plain,
spl20_38,
inference(avatar_split_clause,[],[f109,f319]) ).
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/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f317,plain,
spl20_37,
inference(avatar_split_clause,[],[f106,f315]) ).
fof(f106,plain,
! [X3,X0,X1] :
( ~ r3(X0,X1,X3)
| id(X3,sK18(X0,X1)) ),
inference(cnf_transformation,[],[f65]) ).
fof(f313,plain,
( spl20_36
| ~ spl20_5
| ~ spl20_15 ),
inference(avatar_split_clause,[],[f201,f188,f144,f311]) ).
fof(f201,plain,
( ! [X0] : id(X0,sK3(X0))
| ~ spl20_5
| ~ spl20_15 ),
inference(resolution,[],[f189,f145]) ).
fof(f309,plain,
spl20_35,
inference(avatar_split_clause,[],[f105,f307]) ).
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/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f305,plain,
spl20_34,
inference(avatar_split_clause,[],[f102,f303]) ).
fof(f102,plain,
! [X3,X0,X1] :
( ~ r4(X0,X1,X3)
| id(X3,sK17(X0,X1)) ),
inference(cnf_transformation,[],[f63]) ).
fof(f301,plain,
spl20_33,
inference(avatar_split_clause,[],[f72,f299]) ).
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/sandbox/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/sandbox/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/sandbox/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/sandbox/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_10 ),
inference(avatar_split_clause,[],[f169,f164,f144,f243]) ).
fof(f169,plain,
( r1(sK3(sK19))
| ~ spl20_5
| ~ spl20_10 ),
inference(resolution,[],[f165,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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f182,plain,
( spl20_13
| ~ spl20_1
| ~ spl20_10 ),
inference(avatar_split_clause,[],[f168,f164,f128,f179]) ).
fof(f168,plain,
( r1(sK19)
| ~ spl20_1
| ~ spl20_10 ),
inference(resolution,[],[f165,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/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f173,plain,
spl20_11,
inference(avatar_split_clause,[],[f68,f171]) ).
fof(f68,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ r3(X1,X2,X3)
| ~ id(X3,X0)
| ~ r2(X7,X6)
| ~ r1(X7)
| ~ r2(X6,X5)
| ~ r4(X5,X1,X4)
| ~ id(X4,X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1,X2] :
( ! [X3] :
( ~ r3(X1,X2,X3)
| ~ id(X3,X0) )
| ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ~ r2(X7,X6)
| ~ r1(X7) )
| ~ r2(X6,X5) )
| ~ r4(X5,X1,X4) )
| ~ id(X4,X0) ) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
~ ? [X0,X1,X2] :
( ? [X3] :
( r3(X1,X2,X3)
& id(X3,X0) )
& ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( r2(X7,X6)
& r1(X7) )
& r2(X6,X5) )
& r4(X5,X1,X4) )
& id(X4,X0) ) ),
inference(rectify,[],[f20]) ).
fof(f20,negated_conjecture,
~ ? [X62,X45,X46] :
( ? [X40] :
( r3(X45,X46,X40)
& id(X40,X62) )
& ? [X39] :
( ? [X48] :
( ? [X42] :
( ? [X57] :
( r2(X57,X42)
& r1(X57) )
& r2(X42,X48) )
& r4(X48,X45,X39) )
& id(X39,X62) ) ),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
? [X62,X45,X46] :
( ? [X40] :
( r3(X45,X46,X40)
& id(X40,X62) )
& ? [X39] :
( ? [X48] :
( ? [X42] :
( ? [X57] :
( r2(X57,X42)
& r1(X57) )
& r2(X42,X48) )
& r4(X48,X45,X39) )
& id(X39,X62) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f166,plain,
spl20_10,
inference(avatar_split_clause,[],[f126,f164]) ).
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/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f162,plain,
spl20_9,
inference(avatar_split_clause,[],[f123,f160]) ).
fof(f123,plain,
! [X1] :
( ~ r1(X1)
| id(X1,sK19) ),
inference(cnf_transformation,[],[f67]) ).
fof(f158,plain,
spl20_8,
inference(avatar_split_clause,[],[f98,f156]) ).
fof(f98,plain,
! [X0,X1] : r2(X1,sK16(X0,X1)),
inference(cnf_transformation,[],[f61]) ).
fof(f154,plain,
spl20_7,
inference(avatar_split_clause,[],[f93,f152]) ).
fof(f93,plain,
! [X0,X1] : r2(X1,sK12(X0,X1)),
inference(cnf_transformation,[],[f56]) ).
fof(f150,plain,
spl20_6,
inference(avatar_split_clause,[],[f79,f148]) ).
fof(f79,plain,
! [X0] : id(sK5(X0),sK6(X0)),
inference(cnf_transformation,[],[f49]) ).
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/sandbox/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUN076+1 : TPTP v8.2.0. Released v7.3.0.
% 0.00/0.11 % Command : run_vampire %s %d SAT
% 0.11/0.32 % Computer : n008.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Jun 18 21:16:09 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.20/0.34 This is a FOF_THM_RFO_NEQ problem
% 0.20/0.34 Running first-order model finding
% 0.20/0.34 Running /export/starexec/sandbox/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.41 % (14000)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (14004)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)
% 0.20/0.41 % (14000)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (14007)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)
% 0.20/0.41 % (14000)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (14003)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (3000ds/214858Mi)
% 0.20/0.41 % (14000)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (14006)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)
% 0.20/0.41 % (14000)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (14005)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (3000ds/104Mi)
% 0.20/0.41 % (14000)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (14002)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)
% 0.20/0.41 % (14000)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (14001)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (3000ds/98885Mi)
% 0.20/0.41 TRYING [1]
% 0.20/0.41 TRYING [2]
% 0.21/0.41 TRYING [3]
% 0.21/0.42 TRYING [10]
% 0.21/0.42 TRYING [4]
% 0.21/0.44 TRYING [5]
% 0.21/0.45 % (14007)Instruction limit reached!
% 0.21/0.45 % (14007)------------------------------
% 0.21/0.45 % (14007)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.45 % (14007)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.45 % (14007)Termination reason: Time limit
% 0.21/0.45 % (14007)Termination phase: Saturation
% 0.21/0.45
% 0.21/0.45 % (14007)Memory used [KB]: 2430
% 0.21/0.45 % (14007)Time elapsed: 0.049 s
% 0.21/0.45 % (14007)Instructions burned: 118 (million)
% 0.21/0.46 % (14005)Instruction limit reached!
% 0.21/0.46 % (14005)------------------------------
% 0.21/0.46 % (14005)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.46 % (14005)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.46 % (14005)Termination reason: Time limit
% 0.21/0.46 % (14005)Termination phase: Saturation
% 0.21/0.46
% 0.21/0.46 % (14005)Memory used [KB]: 1486
% 0.21/0.46 % (14005)Time elapsed: 0.054 s
% 0.21/0.46 % (14005)Instructions burned: 104 (million)
% 0.21/0.48 TRYING [6]
% 0.21/0.49 % (14006)Instruction limit reached!
% 0.21/0.49 % (14006)------------------------------
% 0.21/0.49 % (14006)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.49 % (14006)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.49 % (14006)Termination reason: Time limit
% 0.21/0.49 % (14006)Termination phase: Saturation
% 0.21/0.49
% 0.21/0.49 % (14006)Memory used [KB]: 1647
% 0.21/0.49 % (14006)Time elapsed: 0.082 s
% 0.21/0.49 % (14006)Instructions burned: 146 (million)
% 0.21/0.49 % (14000)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.49 % (14008)dis+11_1:3_bsr=unit_only:sil=2000:rp=on:newcnf=on:i=404:kws=precedence:lsd=100_0 on theBenchmark for (2999ds/404Mi)
% 0.21/0.49 % (14000)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.49 % (14009)ott-21_1:1_sil=4000:sp=const_frequency:i=175:fsr=off:fs=off:av=off_0 on theBenchmark for (2998ds/175Mi)
% 0.21/0.49 TRYING [23]
% 0.21/0.52 % (14000)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.52 % (14010)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)
% 0.21/0.53 % (14002)First to succeed.
% 0.21/0.54 % (14002)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-14000"
% 0.21/0.55 % (14000)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.55 % (14002)Refutation found. Thanks to Tanya!
% 0.21/0.55 % SZS status Theorem for theBenchmark
% 0.21/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.55 % (14002)------------------------------
% 0.21/0.55 % (14002)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.55 % (14002)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.55 % (14002)Termination reason: Refutation
% 0.21/0.55
% 0.21/0.55 % (14002)Memory used [KB]: 3105
% 0.21/0.55 % (14002)Time elapsed: 0.139 s
% 0.21/0.55 % (14002)Instructions burned: 266 (million)
% 0.21/0.55 % (14002)------------------------------
% 0.21/0.55 % (14002)------------------------------
% 0.21/0.55 % (14000)Success in time 0.19 s
%------------------------------------------------------------------------------