TSTP Solution File: GRP628+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP628+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 12:07:54 EDT 2024
% Result : Theorem 0.21s 0.49s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 563
% Syntax : Number of formulae : 1830 ( 199 unt; 0 def)
% Number of atoms : 8151 ( 313 equ)
% Maximal formula atoms : 22 ( 4 avg)
% Number of connectives : 11090 (4769 ~;5342 |; 407 &)
% ( 470 <=>; 102 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 493 ( 491 usr; 466 prp; 0-4 aty)
% Number of functors : 40 ( 40 usr; 17 con; 0-3 aty)
% Number of variables : 1952 (1869 !; 83 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3401,plain,
$false,
inference(avatar_sat_refutation,[],[f381,f386,f391,f396,f401,f406,f411,f416,f421,f426,f431,f436,f441,f446,f451,f456,f461,f466,f471,f476,f481,f486,f491,f496,f501,f506,f511,f516,f521,f526,f531,f536,f541,f546,f551,f556,f561,f565,f569,f573,f577,f581,f585,f589,f593,f607,f611,f615,f619,f623,f627,f631,f635,f639,f643,f647,f651,f655,f659,f663,f667,f671,f682,f687,f692,f696,f700,f704,f708,f712,f716,f721,f725,f729,f733,f737,f741,f746,f752,f756,f760,f765,f770,f774,f778,f782,f786,f799,f811,f815,f819,f823,f836,f842,f846,f850,f854,f858,f862,f891,f895,f899,f903,f914,f930,f934,f938,f949,f953,f957,f961,f970,f974,f978,f983,f987,f1000,f1004,f1008,f1026,f1030,f1038,f1042,f1046,f1055,f1061,f1065,f1069,f1073,f1091,f1095,f1099,f1111,f1115,f1121,f1125,f1135,f1146,f1154,f1163,f1176,f1182,f1187,f1192,f1197,f1208,f1214,f1222,f1226,f1230,f1234,f1238,f1242,f1251,f1255,f1260,f1264,f1268,f1272,f1276,f1280,f1284,f1301,f1305,f1308,f1323,f1329,f1340,f1348,f1360,f1368,f1374,f1378,f1382,f1387,f1391,f1408,f1421,f1426,f1431,f1448,f1453,f1457,f1465,f1474,f1479,f1488,f1497,f1505,f1509,f1513,f1524,f1529,f1536,f1540,f1544,f1548,f1552,f1553,f1562,f1566,f1570,f1574,f1582,f1602,f1606,f1610,f1615,f1619,f1640,f1644,f1648,f1652,f1656,f1661,f1665,f1669,f1694,f1698,f1702,f1706,f1717,f1721,f1725,f1743,f1751,f1757,f1761,f1767,f1772,f1776,f1794,f1799,f1803,f1807,f1818,f1822,f1826,f1833,f1841,f1845,f1849,f1857,f1861,f1868,f1873,f1877,f1892,f1896,f1905,f1909,f1913,f1921,f1925,f1941,f1955,f1964,f1968,f1976,f1984,f1988,f1993,f2001,f2005,f2012,f2025,f2030,f2034,f2038,f2043,f2048,f2052,f2056,f2060,f2064,f2068,f2084,f2088,f2107,f2111,f2132,f2136,f2152,f2159,f2163,f2167,f2171,f2175,f2176,f2181,f2191,f2195,f2196,f2214,f2224,f2228,f2232,f2236,f2256,f2264,f2268,f2272,f2276,f2280,f2284,f2288,f2292,f2296,f2315,f2333,f2337,f2341,f2349,f2353,f2357,f2371,f2375,f2379,f2383,f2387,f2391,f2421,f2425,f2436,f2440,f2444,f2448,f2452,f2456,f2460,f2481,f2485,f2489,f2493,f2497,f2511,f2515,f2519,f2523,f2536,f2540,f2544,f2548,f2552,f2556,f2574,f2579,f2583,f2587,f2591,f2595,f2599,f2606,f2621,f2625,f2629,f2633,f2637,f2642,f2646,f2650,f2654,f2658,f2669,f2679,f2683,f2687,f2700,f2704,f2708,f2712,f2716,f2720,f2724,f2728,f2732,f2736,f2740,f2744,f2748,f2791,f2813,f2817,f2821,f2825,f2829,f2836,f2871,f2875,f2879,f2884,f2897,f2901,f2905,f2911,f2915,f2947,f2951,f2965,f2972,f2976,f2980,f3000,f3019,f3042,f3049,f3053,f3069,f3074,f3081,f3099,f3103,f3107,f3111,f3124,f3128,f3149,f3153,f3157,f3167,f3175,f3183,f3184,f3186,f3204,f3211,f3212,f3214,f3221,f3233,f3240,f3242,f3260,f3269,f3284,f3293,f3294,f3300,f3318,f3331,f3334,f3338,f3345,f3393,f3396,f3398,f3400]) ).
fof(f3400,plain,
( spl30_7
| ~ spl30_458
| ~ spl30_465 ),
inference(avatar_split_clause,[],[f3399,f3390,f3311,f408]) ).
fof(f408,plain,
( spl30_7
<=> k3_group_1(k5_autgroup(sK3),sK5) = k2_funct_1(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_7])]) ).
fof(f3311,plain,
( spl30_458
<=> k2_funct_1(sK5) = k3_group_1(k3_autgroup(sK3),sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_458])]) ).
fof(f3390,plain,
( spl30_465
<=> k3_group_1(k5_autgroup(sK3),sK5) = k3_group_1(k3_autgroup(sK3),sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_465])]) ).
fof(f3399,plain,
( k3_group_1(k5_autgroup(sK3),sK5) = k2_funct_1(sK5)
| ~ spl30_458
| ~ spl30_465 ),
inference(forward_demodulation,[],[f3392,f3313]) ).
fof(f3313,plain,
( k2_funct_1(sK5) = k3_group_1(k3_autgroup(sK3),sK5)
| ~ spl30_458 ),
inference(avatar_component_clause,[],[f3311]) ).
fof(f3392,plain,
( k3_group_1(k5_autgroup(sK3),sK5) = k3_group_1(k3_autgroup(sK3),sK5)
| ~ spl30_465 ),
inference(avatar_component_clause,[],[f3390]) ).
fof(f3398,plain,
( ~ spl30_142
| ~ spl30_57
| ~ spl30_460 ),
inference(avatar_split_clause,[],[f3397,f3320,f649,f1160]) ).
fof(f1160,plain,
( spl30_142
<=> sP2(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_142])]) ).
fof(f649,plain,
( spl30_57
<=> ! [X0] :
( ~ v3_struct_0(k3_autgroup(X0))
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_57])]) ).
fof(f3320,plain,
( spl30_460
<=> v3_struct_0(k3_autgroup(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_460])]) ).
fof(f3397,plain,
( ~ sP2(sK3)
| ~ spl30_57
| ~ spl30_460 ),
inference(resolution,[],[f3322,f650]) ).
fof(f650,plain,
( ! [X0] :
( ~ v3_struct_0(k3_autgroup(X0))
| ~ sP2(X0) )
| ~ spl30_57 ),
inference(avatar_component_clause,[],[f649]) ).
fof(f3322,plain,
( v3_struct_0(k3_autgroup(sK3))
| ~ spl30_460 ),
inference(avatar_component_clause,[],[f3320]) ).
fof(f3396,plain,
( ~ spl30_142
| ~ spl30_60
| spl30_464 ),
inference(avatar_split_clause,[],[f3395,f3386,f661,f1160]) ).
fof(f661,plain,
( spl30_60
<=> ! [X0] :
( v4_group_1(k3_autgroup(X0))
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_60])]) ).
fof(f3386,plain,
( spl30_464
<=> v4_group_1(k3_autgroup(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_464])]) ).
fof(f3395,plain,
( ~ sP2(sK3)
| ~ spl30_60
| spl30_464 ),
inference(resolution,[],[f3388,f662]) ).
fof(f662,plain,
( ! [X0] :
( v4_group_1(k3_autgroup(X0))
| ~ sP2(X0) )
| ~ spl30_60 ),
inference(avatar_component_clause,[],[f661]) ).
fof(f3388,plain,
( ~ v4_group_1(k3_autgroup(sK3))
| spl30_464 ),
inference(avatar_component_clause,[],[f3386]) ).
fof(f3393,plain,
( spl30_1
| ~ spl30_2
| ~ spl30_3
| ~ spl30_4
| ~ spl30_5
| spl30_460
| ~ spl30_461
| ~ spl30_464
| ~ spl30_462
| ~ spl30_459
| spl30_465
| ~ spl30_118
| ~ spl30_159 ),
inference(avatar_split_clause,[],[f1256,f1253,f998,f3390,f3315,f3328,f3386,f3324,f3320,f398,f393,f388,f383,f378]) ).
fof(f378,plain,
( spl30_1
<=> v3_struct_0(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_1])]) ).
fof(f383,plain,
( spl30_2
<=> v1_group_1(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_2])]) ).
fof(f388,plain,
( spl30_3
<=> v3_group_1(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_3])]) ).
fof(f393,plain,
( spl30_4
<=> v4_group_1(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_4])]) ).
fof(f398,plain,
( spl30_5
<=> l1_group_1(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_5])]) ).
fof(f3324,plain,
( spl30_461
<=> v3_group_1(k3_autgroup(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_461])]) ).
fof(f3328,plain,
( spl30_462
<=> l1_group_1(k3_autgroup(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_462])]) ).
fof(f3315,plain,
( spl30_459
<=> m1_subset_1(sK5,u1_struct_0(k3_autgroup(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_459])]) ).
fof(f998,plain,
( spl30_118
<=> ! [X0] :
( m1_group_2(k5_autgroup(X0),k3_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_118])]) ).
fof(f1253,plain,
( spl30_159
<=> ! [X0] :
( k3_group_1(k5_autgroup(sK3),sK5) = k3_group_1(X0,sK5)
| ~ m1_group_2(k5_autgroup(sK3),X0)
| ~ m1_subset_1(sK5,u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_159])]) ).
fof(f1256,plain,
( k3_group_1(k5_autgroup(sK3),sK5) = k3_group_1(k3_autgroup(sK3),sK5)
| ~ m1_subset_1(sK5,u1_struct_0(k3_autgroup(sK3)))
| ~ l1_group_1(k3_autgroup(sK3))
| ~ v4_group_1(k3_autgroup(sK3))
| ~ v3_group_1(k3_autgroup(sK3))
| v3_struct_0(k3_autgroup(sK3))
| ~ l1_group_1(sK3)
| ~ v4_group_1(sK3)
| ~ v3_group_1(sK3)
| ~ v1_group_1(sK3)
| v3_struct_0(sK3)
| ~ spl30_118
| ~ spl30_159 ),
inference(resolution,[],[f1254,f999]) ).
fof(f999,plain,
( ! [X0] :
( m1_group_2(k5_autgroup(X0),k3_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) )
| ~ spl30_118 ),
inference(avatar_component_clause,[],[f998]) ).
fof(f1254,plain,
( ! [X0] :
( ~ m1_group_2(k5_autgroup(sK3),X0)
| k3_group_1(k5_autgroup(sK3),sK5) = k3_group_1(X0,sK5)
| ~ m1_subset_1(sK5,u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl30_159 ),
inference(avatar_component_clause,[],[f1253]) ).
fof(f3345,plain,
( ~ spl30_142
| ~ spl30_61
| spl30_462 ),
inference(avatar_split_clause,[],[f3333,f3328,f665,f1160]) ).
fof(f665,plain,
( spl30_61
<=> ! [X0] :
( l1_group_1(k3_autgroup(X0))
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_61])]) ).
fof(f3333,plain,
( ~ sP2(sK3)
| ~ spl30_61
| spl30_462 ),
inference(resolution,[],[f3330,f666]) ).
fof(f666,plain,
( ! [X0] :
( l1_group_1(k3_autgroup(X0))
| ~ sP2(X0) )
| ~ spl30_61 ),
inference(avatar_component_clause,[],[f665]) ).
fof(f3330,plain,
( ~ l1_group_1(k3_autgroup(sK3))
| spl30_462 ),
inference(avatar_component_clause,[],[f3328]) ).
fof(f3338,plain,
( ~ spl30_297
| ~ spl30_298
| ~ spl30_299
| spl30_463
| ~ spl30_134
| ~ spl30_151 ),
inference(avatar_split_clause,[],[f1218,f1211,f1109,f3336,f2146,f2142,f2138]) ).
fof(f2138,plain,
( spl30_297
<=> v1_funct_1(k2_autgroup(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_297])]) ).
fof(f2142,plain,
( spl30_298
<=> v1_funct_2(k2_autgroup(sK3),k2_zfmisc_1(k1_autgroup(sK3),k1_autgroup(sK3)),k1_autgroup(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_298])]) ).
fof(f2146,plain,
( spl30_299
<=> m1_relset_1(k2_autgroup(sK3),k2_zfmisc_1(k1_autgroup(sK3),k1_autgroup(sK3)),k1_autgroup(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_299])]) ).
fof(f3336,plain,
( spl30_463
<=> ! [X0,X1] :
( g1_group_1(X0,X1) != k3_autgroup(sK3)
| k1_autgroup(sK3) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_463])]) ).
fof(f1109,plain,
( spl30_134
<=> ! [X0,X3,X2,X1] :
( X0 = X2
| g1_group_1(X0,X1) != g1_group_1(X2,X3)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_134])]) ).
fof(f1211,plain,
( spl30_151
<=> k3_autgroup(sK3) = g1_group_1(k1_autgroup(sK3),k2_autgroup(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_151])]) ).
fof(f1218,plain,
( ! [X0,X1] :
( g1_group_1(X0,X1) != k3_autgroup(sK3)
| k1_autgroup(sK3) = X0
| ~ m1_relset_1(k2_autgroup(sK3),k2_zfmisc_1(k1_autgroup(sK3),k1_autgroup(sK3)),k1_autgroup(sK3))
| ~ v1_funct_2(k2_autgroup(sK3),k2_zfmisc_1(k1_autgroup(sK3),k1_autgroup(sK3)),k1_autgroup(sK3))
| ~ v1_funct_1(k2_autgroup(sK3)) )
| ~ spl30_134
| ~ spl30_151 ),
inference(superposition,[],[f1110,f1213]) ).
fof(f1213,plain,
( k3_autgroup(sK3) = g1_group_1(k1_autgroup(sK3),k2_autgroup(sK3))
| ~ spl30_151 ),
inference(avatar_component_clause,[],[f1211]) ).
fof(f1110,plain,
( ! [X2,X3,X0,X1] :
( g1_group_1(X0,X1) != g1_group_1(X2,X3)
| X0 = X2
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl30_134 ),
inference(avatar_component_clause,[],[f1109]) ).
fof(f3334,plain,
( ~ spl30_142
| ~ spl30_59
| spl30_461 ),
inference(avatar_split_clause,[],[f3332,f3324,f657,f1160]) ).
fof(f657,plain,
( spl30_59
<=> ! [X0] :
( v3_group_1(k3_autgroup(X0))
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_59])]) ).
fof(f3332,plain,
( ~ sP2(sK3)
| ~ spl30_59
| spl30_461 ),
inference(resolution,[],[f3326,f658]) ).
fof(f658,plain,
( ! [X0] :
( v3_group_1(k3_autgroup(X0))
| ~ sP2(X0) )
| ~ spl30_59 ),
inference(avatar_component_clause,[],[f657]) ).
fof(f3326,plain,
( ~ v3_group_1(k3_autgroup(sK3))
| spl30_461 ),
inference(avatar_component_clause,[],[f3324]) ).
fof(f3331,plain,
( spl30_1
| ~ spl30_2
| ~ spl30_3
| ~ spl30_4
| ~ spl30_5
| spl30_460
| ~ spl30_461
| ~ spl30_462
| spl30_459
| ~ spl30_118
| ~ spl30_150 ),
inference(avatar_split_clause,[],[f1209,f1206,f998,f3315,f3328,f3324,f3320,f398,f393,f388,f383,f378]) ).
fof(f1206,plain,
( spl30_150
<=> ! [X0] :
( m1_subset_1(sK5,u1_struct_0(X0))
| ~ m1_group_2(k5_autgroup(sK3),X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_150])]) ).
fof(f1209,plain,
( m1_subset_1(sK5,u1_struct_0(k3_autgroup(sK3)))
| ~ l1_group_1(k3_autgroup(sK3))
| ~ v3_group_1(k3_autgroup(sK3))
| v3_struct_0(k3_autgroup(sK3))
| ~ l1_group_1(sK3)
| ~ v4_group_1(sK3)
| ~ v3_group_1(sK3)
| ~ v1_group_1(sK3)
| v3_struct_0(sK3)
| ~ spl30_118
| ~ spl30_150 ),
inference(resolution,[],[f1207,f999]) ).
fof(f1207,plain,
( ! [X0] :
( ~ m1_group_2(k5_autgroup(sK3),X0)
| m1_subset_1(sK5,u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl30_150 ),
inference(avatar_component_clause,[],[f1206]) ).
fof(f3318,plain,
( spl30_1
| ~ spl30_2
| ~ spl30_3
| ~ spl30_4
| ~ spl30_5
| spl30_458
| ~ spl30_459
| ~ spl30_138
| ~ spl30_169 ),
inference(avatar_split_clause,[],[f1331,f1320,f1133,f3315,f3311,f398,f393,f388,f383,f378]) ).
fof(f1133,plain,
( spl30_138
<=> ! [X2,X0] :
( k3_group_1(k3_autgroup(X0),X2) = k2_funct_1(X2)
| ~ m1_subset_1(X2,u1_struct_0(k3_autgroup(X0)))
| ~ m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_138])]) ).
fof(f1320,plain,
( spl30_169
<=> m2_fraenkel(sK5,u1_struct_0(sK3),u1_struct_0(sK3),k1_autgroup(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_169])]) ).
fof(f1331,plain,
( ~ m1_subset_1(sK5,u1_struct_0(k3_autgroup(sK3)))
| k2_funct_1(sK5) = k3_group_1(k3_autgroup(sK3),sK5)
| ~ l1_group_1(sK3)
| ~ v4_group_1(sK3)
| ~ v3_group_1(sK3)
| ~ v1_group_1(sK3)
| v3_struct_0(sK3)
| ~ spl30_138
| ~ spl30_169 ),
inference(resolution,[],[f1322,f1134]) ).
fof(f1134,plain,
( ! [X2,X0] :
( ~ m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ m1_subset_1(X2,u1_struct_0(k3_autgroup(X0)))
| k3_group_1(k3_autgroup(X0),X2) = k2_funct_1(X2)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) )
| ~ spl30_138 ),
inference(avatar_component_clause,[],[f1133]) ).
fof(f1322,plain,
( m2_fraenkel(sK5,u1_struct_0(sK3),u1_struct_0(sK3),k1_autgroup(sK3))
| ~ spl30_169 ),
inference(avatar_component_clause,[],[f1320]) ).
fof(f3300,plain,
( spl30_1
| ~ spl30_2
| ~ spl30_3
| ~ spl30_4
| ~ spl30_5
| ~ spl30_111
| spl30_297 ),
inference(avatar_split_clause,[],[f2153,f2138,f955,f398,f393,f388,f383,f378]) ).
fof(f955,plain,
( spl30_111
<=> ! [X0] :
( v1_funct_1(k2_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_111])]) ).
fof(f2153,plain,
( ~ l1_group_1(sK3)
| ~ v4_group_1(sK3)
| ~ v3_group_1(sK3)
| ~ v1_group_1(sK3)
| v3_struct_0(sK3)
| ~ spl30_111
| spl30_297 ),
inference(resolution,[],[f2140,f956]) ).
fof(f956,plain,
( ! [X0] :
( v1_funct_1(k2_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) )
| ~ spl30_111 ),
inference(avatar_component_clause,[],[f955]) ).
fof(f2140,plain,
( ~ v1_funct_1(k2_autgroup(sK3))
| spl30_297 ),
inference(avatar_component_clause,[],[f2138]) ).
fof(f3294,plain,
( spl30_1
| ~ spl30_2
| ~ spl30_3
| ~ spl30_4
| ~ spl30_5
| ~ spl30_131
| spl30_298 ),
inference(avatar_split_clause,[],[f2154,f2142,f1089,f398,f393,f388,f383,f378]) ).
fof(f1089,plain,
( spl30_131
<=> ! [X0] :
( v1_funct_2(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_131])]) ).
fof(f2154,plain,
( ~ l1_group_1(sK3)
| ~ v4_group_1(sK3)
| ~ v3_group_1(sK3)
| ~ v1_group_1(sK3)
| v3_struct_0(sK3)
| ~ spl30_131
| spl30_298 ),
inference(resolution,[],[f2144,f1090]) ).
fof(f1090,plain,
( ! [X0] :
( v1_funct_2(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) )
| ~ spl30_131 ),
inference(avatar_component_clause,[],[f1089]) ).
fof(f2144,plain,
( ~ v1_funct_2(k2_autgroup(sK3),k2_zfmisc_1(k1_autgroup(sK3),k1_autgroup(sK3)),k1_autgroup(sK3))
| spl30_298 ),
inference(avatar_component_clause,[],[f2142]) ).
fof(f3293,plain,
( spl30_456
| ~ spl30_457
| ~ spl30_151
| ~ spl30_429 ),
inference(avatar_split_clause,[],[f3247,f3040,f1211,f3290,f3286]) ).
fof(f3286,plain,
( spl30_456
<=> u1_group_1(sK25) = k2_autgroup(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_456])]) ).
fof(f3290,plain,
( spl30_457
<=> sK25 = k3_autgroup(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_457])]) ).
fof(f3040,plain,
( spl30_429
<=> ! [X0,X1] :
( g1_group_1(X0,X1) != sK25
| u1_group_1(sK25) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_429])]) ).
fof(f3247,plain,
( sK25 != k3_autgroup(sK3)
| u1_group_1(sK25) = k2_autgroup(sK3)
| ~ spl30_151
| ~ spl30_429 ),
inference(superposition,[],[f3041,f1213]) ).
fof(f3041,plain,
( ! [X0,X1] :
( g1_group_1(X0,X1) != sK25
| u1_group_1(sK25) = X1 )
| ~ spl30_429 ),
inference(avatar_component_clause,[],[f3040]) ).
fof(f3284,plain,
( spl30_454
| ~ spl30_455
| ~ spl30_151
| ~ spl30_425 ),
inference(avatar_split_clause,[],[f3219,f3017,f1211,f3281,f3277]) ).
fof(f3277,plain,
( spl30_454
<=> u1_group_1(sK24) = k2_autgroup(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_454])]) ).
fof(f3281,plain,
( spl30_455
<=> sK24 = k3_autgroup(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_455])]) ).
fof(f3017,plain,
( spl30_425
<=> ! [X0,X1] :
( g1_group_1(X0,X1) != sK24
| u1_group_1(sK24) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_425])]) ).
fof(f3219,plain,
( sK24 != k3_autgroup(sK3)
| u1_group_1(sK24) = k2_autgroup(sK3)
| ~ spl30_151
| ~ spl30_425 ),
inference(superposition,[],[f3018,f1213]) ).
fof(f3018,plain,
( ! [X0,X1] :
( g1_group_1(X0,X1) != sK24
| u1_group_1(sK24) = X1 )
| ~ spl30_425 ),
inference(avatar_component_clause,[],[f3017]) ).
fof(f3269,plain,
( spl30_452
| ~ spl30_453
| ~ spl30_151
| ~ spl30_421 ),
inference(avatar_split_clause,[],[f3191,f2998,f1211,f3266,f3262]) ).
fof(f3262,plain,
( spl30_452
<=> u1_group_1(sK23) = k2_autgroup(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_452])]) ).
fof(f3266,plain,
( spl30_453
<=> sK23 = k3_autgroup(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_453])]) ).
fof(f2998,plain,
( spl30_421
<=> ! [X0,X1] :
( g1_group_1(X0,X1) != sK23
| u1_group_1(sK23) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_421])]) ).
fof(f3191,plain,
( sK23 != k3_autgroup(sK3)
| u1_group_1(sK23) = k2_autgroup(sK3)
| ~ spl30_151
| ~ spl30_421 ),
inference(superposition,[],[f2999,f1213]) ).
fof(f2999,plain,
( ! [X0,X1] :
( g1_group_1(X0,X1) != sK23
| u1_group_1(sK23) = X1 )
| ~ spl30_421 ),
inference(avatar_component_clause,[],[f2998]) ).
fof(f3260,plain,
( ~ spl30_426
| ~ spl30_427
| ~ spl30_428
| spl30_451
| ~ spl30_134
| ~ spl30_200 ),
inference(avatar_split_clause,[],[f1501,f1494,f1109,f3258,f3036,f3032,f3028]) ).
fof(f3028,plain,
( spl30_426
<=> v1_funct_1(u1_group_1(sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_426])]) ).
fof(f3032,plain,
( spl30_427
<=> v1_funct_2(u1_group_1(sK25),k2_zfmisc_1(u1_struct_0(sK25),u1_struct_0(sK25)),u1_struct_0(sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_427])]) ).
fof(f3036,plain,
( spl30_428
<=> m1_relset_1(u1_group_1(sK25),k2_zfmisc_1(u1_struct_0(sK25),u1_struct_0(sK25)),u1_struct_0(sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_428])]) ).
fof(f3258,plain,
( spl30_451
<=> ! [X0,X1] :
( g1_group_1(X0,X1) != sK25
| u1_struct_0(sK25) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_451])]) ).
fof(f1494,plain,
( spl30_200
<=> sK25 = g1_group_1(u1_struct_0(sK25),u1_group_1(sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_200])]) ).
fof(f1501,plain,
( ! [X0,X1] :
( g1_group_1(X0,X1) != sK25
| u1_struct_0(sK25) = X0
| ~ m1_relset_1(u1_group_1(sK25),k2_zfmisc_1(u1_struct_0(sK25),u1_struct_0(sK25)),u1_struct_0(sK25))
| ~ v1_funct_2(u1_group_1(sK25),k2_zfmisc_1(u1_struct_0(sK25),u1_struct_0(sK25)),u1_struct_0(sK25))
| ~ v1_funct_1(u1_group_1(sK25)) )
| ~ spl30_134
| ~ spl30_200 ),
inference(superposition,[],[f1110,f1496]) ).
fof(f1496,plain,
( sK25 = g1_group_1(u1_struct_0(sK25),u1_group_1(sK25))
| ~ spl30_200 ),
inference(avatar_component_clause,[],[f1494]) ).
fof(f3242,plain,
( ~ spl30_26
| ~ spl30_106
| spl30_427 ),
inference(avatar_split_clause,[],[f3044,f3032,f928,f503]) ).
fof(f503,plain,
( spl30_26
<=> l1_group_1(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_26])]) ).
fof(f928,plain,
( spl30_106
<=> ! [X0] :
( v1_funct_2(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_106])]) ).
fof(f3044,plain,
( ~ l1_group_1(sK25)
| ~ spl30_106
| spl30_427 ),
inference(resolution,[],[f3034,f929]) ).
fof(f929,plain,
( ! [X0] :
( v1_funct_2(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_group_1(X0) )
| ~ spl30_106 ),
inference(avatar_component_clause,[],[f928]) ).
fof(f3034,plain,
( ~ v1_funct_2(u1_group_1(sK25),k2_zfmisc_1(u1_struct_0(sK25),u1_struct_0(sK25)),u1_struct_0(sK25))
| spl30_427 ),
inference(avatar_component_clause,[],[f3032]) ).
fof(f3240,plain,
( ~ spl30_26
| ~ spl30_217
| spl30_428 ),
inference(avatar_split_clause,[],[f3045,f3036,f1608,f503]) ).
fof(f1608,plain,
( spl30_217
<=> ! [X0] :
( ~ l1_group_1(X0)
| m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_217])]) ).
fof(f3045,plain,
( ~ l1_group_1(sK25)
| ~ spl30_217
| spl30_428 ),
inference(resolution,[],[f3038,f1609]) ).
fof(f1609,plain,
( ! [X0] :
( m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_group_1(X0) )
| ~ spl30_217 ),
inference(avatar_component_clause,[],[f1608]) ).
fof(f3038,plain,
( ~ m1_relset_1(u1_group_1(sK25),k2_zfmisc_1(u1_struct_0(sK25),u1_struct_0(sK25)),u1_struct_0(sK25))
| spl30_428 ),
inference(avatar_component_clause,[],[f3036]) ).
fof(f3233,plain,
( ~ spl30_422
| ~ spl30_423
| ~ spl30_424
| spl30_450
| ~ spl30_134
| ~ spl30_199 ),
inference(avatar_split_clause,[],[f1492,f1485,f1109,f3231,f3013,f3009,f3005]) ).
fof(f3005,plain,
( spl30_422
<=> v1_funct_1(u1_group_1(sK24)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_422])]) ).
fof(f3009,plain,
( spl30_423
<=> v1_funct_2(u1_group_1(sK24),k2_zfmisc_1(u1_struct_0(sK24),u1_struct_0(sK24)),u1_struct_0(sK24)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_423])]) ).
fof(f3013,plain,
( spl30_424
<=> m1_relset_1(u1_group_1(sK24),k2_zfmisc_1(u1_struct_0(sK24),u1_struct_0(sK24)),u1_struct_0(sK24)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_424])]) ).
fof(f3231,plain,
( spl30_450
<=> ! [X0,X1] :
( g1_group_1(X0,X1) != sK24
| u1_struct_0(sK24) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_450])]) ).
fof(f1485,plain,
( spl30_199
<=> sK24 = g1_group_1(u1_struct_0(sK24),u1_group_1(sK24)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_199])]) ).
fof(f1492,plain,
( ! [X0,X1] :
( g1_group_1(X0,X1) != sK24
| u1_struct_0(sK24) = X0
| ~ m1_relset_1(u1_group_1(sK24),k2_zfmisc_1(u1_struct_0(sK24),u1_struct_0(sK24)),u1_struct_0(sK24))
| ~ v1_funct_2(u1_group_1(sK24),k2_zfmisc_1(u1_struct_0(sK24),u1_struct_0(sK24)),u1_struct_0(sK24))
| ~ v1_funct_1(u1_group_1(sK24)) )
| ~ spl30_134
| ~ spl30_199 ),
inference(superposition,[],[f1110,f1487]) ).
fof(f1487,plain,
( sK24 = g1_group_1(u1_struct_0(sK24),u1_group_1(sK24))
| ~ spl30_199 ),
inference(avatar_component_clause,[],[f1485]) ).
fof(f3221,plain,
( ~ spl30_26
| ~ spl30_47
| spl30_426 ),
inference(avatar_split_clause,[],[f3043,f3028,f609,f503]) ).
fof(f609,plain,
( spl30_47
<=> ! [X0] :
( v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_47])]) ).
fof(f3043,plain,
( ~ l1_group_1(sK25)
| ~ spl30_47
| spl30_426 ),
inference(resolution,[],[f3030,f610]) ).
fof(f610,plain,
( ! [X0] :
( v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0) )
| ~ spl30_47 ),
inference(avatar_component_clause,[],[f609]) ).
fof(f3030,plain,
( ~ v1_funct_1(u1_group_1(sK25))
| spl30_426 ),
inference(avatar_component_clause,[],[f3028]) ).
fof(f3214,plain,
( ~ spl30_21
| ~ spl30_106
| spl30_423 ),
inference(avatar_split_clause,[],[f3021,f3009,f928,f478]) ).
fof(f478,plain,
( spl30_21
<=> l1_group_1(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_21])]) ).
fof(f3021,plain,
( ~ l1_group_1(sK24)
| ~ spl30_106
| spl30_423 ),
inference(resolution,[],[f3011,f929]) ).
fof(f3011,plain,
( ~ v1_funct_2(u1_group_1(sK24),k2_zfmisc_1(u1_struct_0(sK24),u1_struct_0(sK24)),u1_struct_0(sK24))
| spl30_423 ),
inference(avatar_component_clause,[],[f3009]) ).
fof(f3212,plain,
( ~ spl30_21
| ~ spl30_217
| spl30_424 ),
inference(avatar_split_clause,[],[f3026,f3013,f1608,f478]) ).
fof(f3026,plain,
( ~ l1_group_1(sK24)
| ~ spl30_217
| spl30_424 ),
inference(resolution,[],[f3015,f1609]) ).
fof(f3015,plain,
( ~ m1_relset_1(u1_group_1(sK24),k2_zfmisc_1(u1_struct_0(sK24),u1_struct_0(sK24)),u1_struct_0(sK24))
| spl30_424 ),
inference(avatar_component_clause,[],[f3013]) ).
fof(f3211,plain,
( ~ spl30_21
| ~ spl30_47
| spl30_422 ),
inference(avatar_split_clause,[],[f3020,f3005,f609,f478]) ).
fof(f3020,plain,
( ~ l1_group_1(sK24)
| ~ spl30_47
| spl30_422 ),
inference(resolution,[],[f3007,f610]) ).
fof(f3007,plain,
( ~ v1_funct_1(u1_group_1(sK24))
| spl30_422 ),
inference(avatar_component_clause,[],[f3005]) ).
fof(f3204,plain,
( ~ spl30_418
| ~ spl30_419
| ~ spl30_420
| spl30_449
| ~ spl30_134
| ~ spl30_198 ),
inference(avatar_split_clause,[],[f1483,f1476,f1109,f3202,f2994,f2990,f2986]) ).
fof(f2986,plain,
( spl30_418
<=> v1_funct_1(u1_group_1(sK23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_418])]) ).
fof(f2990,plain,
( spl30_419
<=> v1_funct_2(u1_group_1(sK23),k2_zfmisc_1(u1_struct_0(sK23),u1_struct_0(sK23)),u1_struct_0(sK23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_419])]) ).
fof(f2994,plain,
( spl30_420
<=> m1_relset_1(u1_group_1(sK23),k2_zfmisc_1(u1_struct_0(sK23),u1_struct_0(sK23)),u1_struct_0(sK23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_420])]) ).
fof(f3202,plain,
( spl30_449
<=> ! [X0,X1] :
( g1_group_1(X0,X1) != sK23
| u1_struct_0(sK23) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_449])]) ).
fof(f1476,plain,
( spl30_198
<=> sK23 = g1_group_1(u1_struct_0(sK23),u1_group_1(sK23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_198])]) ).
fof(f1483,plain,
( ! [X0,X1] :
( g1_group_1(X0,X1) != sK23
| u1_struct_0(sK23) = X0
| ~ m1_relset_1(u1_group_1(sK23),k2_zfmisc_1(u1_struct_0(sK23),u1_struct_0(sK23)),u1_struct_0(sK23))
| ~ v1_funct_2(u1_group_1(sK23),k2_zfmisc_1(u1_struct_0(sK23),u1_struct_0(sK23)),u1_struct_0(sK23))
| ~ v1_funct_1(u1_group_1(sK23)) )
| ~ spl30_134
| ~ spl30_198 ),
inference(superposition,[],[f1110,f1478]) ).
fof(f1478,plain,
( sK23 = g1_group_1(u1_struct_0(sK23),u1_group_1(sK23))
| ~ spl30_198 ),
inference(avatar_component_clause,[],[f1476]) ).
fof(f3186,plain,
( ~ spl30_18
| ~ spl30_106
| spl30_419 ),
inference(avatar_split_clause,[],[f3002,f2990,f928,f463]) ).
fof(f463,plain,
( spl30_18
<=> l1_group_1(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_18])]) ).
fof(f3002,plain,
( ~ l1_group_1(sK23)
| ~ spl30_106
| spl30_419 ),
inference(resolution,[],[f2992,f929]) ).
fof(f2992,plain,
( ~ v1_funct_2(u1_group_1(sK23),k2_zfmisc_1(u1_struct_0(sK23),u1_struct_0(sK23)),u1_struct_0(sK23))
| spl30_419 ),
inference(avatar_component_clause,[],[f2990]) ).
fof(f3184,plain,
( ~ spl30_18
| ~ spl30_217
| spl30_420 ),
inference(avatar_split_clause,[],[f3003,f2994,f1608,f463]) ).
fof(f3003,plain,
( ~ l1_group_1(sK23)
| ~ spl30_217
| spl30_420 ),
inference(resolution,[],[f2996,f1609]) ).
fof(f2996,plain,
( ~ m1_relset_1(u1_group_1(sK23),k2_zfmisc_1(u1_struct_0(sK23),u1_struct_0(sK23)),u1_struct_0(sK23))
| spl30_420 ),
inference(avatar_component_clause,[],[f2994]) ).
fof(f3183,plain,
( spl30_448
| ~ spl30_138
| ~ spl30_266 ),
inference(avatar_split_clause,[],[f1951,f1939,f1133,f3181]) ).
fof(f3181,plain,
( spl30_448
<=> ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_subset_1(sK16(u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)),u1_struct_0(k3_autgroup(X0)))
| k3_group_1(k3_autgroup(X0),sK16(u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))) = k2_funct_1(sK16(u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_448])]) ).
fof(f1939,plain,
( spl30_266
<=> ! [X0] :
( m2_fraenkel(sK16(u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)),u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_266])]) ).
fof(f1951,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_subset_1(sK16(u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)),u1_struct_0(k3_autgroup(X0)))
| k3_group_1(k3_autgroup(X0),sK16(u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))) = k2_funct_1(sK16(u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))) )
| ~ spl30_138
| ~ spl30_266 ),
inference(duplicate_literal_removal,[],[f1942]) ).
fof(f1942,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_subset_1(sK16(u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)),u1_struct_0(k3_autgroup(X0)))
| k3_group_1(k3_autgroup(X0),sK16(u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))) = k2_funct_1(sK16(u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) )
| ~ spl30_138
| ~ spl30_266 ),
inference(resolution,[],[f1940,f1134]) ).
fof(f1940,plain,
( ! [X0] :
( m2_fraenkel(sK16(u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)),u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl30_266 ),
inference(avatar_component_clause,[],[f1939]) ).
fof(f3175,plain,
( spl30_447
| ~ spl30_137
| ~ spl30_258 ),
inference(avatar_split_clause,[],[f1882,f1875,f1123,f3173]) ).
fof(f3173,plain,
( spl30_447
<=> ! [X0,X3,X2,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_group_2(X0,X2)
| ~ l1_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2)
| k3_group_1(X2,k3_group_1(X0,X1)) = k3_group_1(X3,k3_group_1(X0,X1))
| ~ m1_group_2(X2,X3)
| ~ m1_subset_1(k3_group_1(X0,X1),u1_struct_0(X3))
| ~ l1_group_1(X3)
| ~ v4_group_1(X3)
| ~ v3_group_1(X3)
| v3_struct_0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_447])]) ).
fof(f1123,plain,
( spl30_137
<=> ! [X2,X0,X3] :
( k3_group_1(X2,X3) = k3_group_1(X0,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_group_2(X2,X0)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_137])]) ).
fof(f1875,plain,
( spl30_258
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| m1_subset_1(k3_group_1(X1,X0),u1_struct_0(X2))
| ~ m1_group_2(X1,X2)
| ~ l1_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_258])]) ).
fof(f1882,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_group_2(X0,X2)
| ~ l1_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2)
| k3_group_1(X2,k3_group_1(X0,X1)) = k3_group_1(X3,k3_group_1(X0,X1))
| ~ m1_group_2(X2,X3)
| ~ m1_subset_1(k3_group_1(X0,X1),u1_struct_0(X3))
| ~ l1_group_1(X3)
| ~ v4_group_1(X3)
| ~ v3_group_1(X3)
| v3_struct_0(X3) )
| ~ spl30_137
| ~ spl30_258 ),
inference(resolution,[],[f1876,f1124]) ).
fof(f1124,plain,
( ! [X2,X3,X0] :
( ~ m1_subset_1(X3,u1_struct_0(X2))
| k3_group_1(X2,X3) = k3_group_1(X0,X3)
| ~ m1_group_2(X2,X0)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl30_137 ),
inference(avatar_component_clause,[],[f1123]) ).
fof(f1876,plain,
( ! [X2,X0,X1] :
( m1_subset_1(k3_group_1(X1,X0),u1_struct_0(X2))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_group_2(X1,X2)
| ~ l1_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2) )
| ~ spl30_258 ),
inference(avatar_component_clause,[],[f1875]) ).
fof(f3167,plain,
( spl30_446
| ~ spl30_137
| ~ spl30_219 ),
inference(avatar_split_clause,[],[f1635,f1617,f1123,f3165]) ).
fof(f3165,plain,
( spl30_446
<=> ! [X0,X3,X2,X1] :
( v1_xboole_0(X0)
| ~ m1_fraenkel(u1_struct_0(X1),X2,X0)
| k3_group_1(X1,sK16(X2,X0,u1_struct_0(X1))) = k3_group_1(X3,sK16(X2,X0,u1_struct_0(X1)))
| ~ m1_group_2(X1,X3)
| ~ m1_subset_1(sK16(X2,X0,u1_struct_0(X1)),u1_struct_0(X3))
| ~ l1_group_1(X3)
| ~ v4_group_1(X3)
| ~ v3_group_1(X3)
| v3_struct_0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_446])]) ).
fof(f1617,plain,
( spl30_219
<=> ! [X2,X0,X1] :
( ~ m1_fraenkel(X0,X1,X2)
| v1_xboole_0(X2)
| m1_subset_1(sK16(X1,X2,X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_219])]) ).
fof(f1635,plain,
( ! [X2,X3,X0,X1] :
( v1_xboole_0(X0)
| ~ m1_fraenkel(u1_struct_0(X1),X2,X0)
| k3_group_1(X1,sK16(X2,X0,u1_struct_0(X1))) = k3_group_1(X3,sK16(X2,X0,u1_struct_0(X1)))
| ~ m1_group_2(X1,X3)
| ~ m1_subset_1(sK16(X2,X0,u1_struct_0(X1)),u1_struct_0(X3))
| ~ l1_group_1(X3)
| ~ v4_group_1(X3)
| ~ v3_group_1(X3)
| v3_struct_0(X3) )
| ~ spl30_137
| ~ spl30_219 ),
inference(resolution,[],[f1618,f1124]) ).
fof(f1618,plain,
( ! [X2,X0,X1] :
( m1_subset_1(sK16(X1,X2,X0),X0)
| v1_xboole_0(X2)
| ~ m1_fraenkel(X0,X1,X2) )
| ~ spl30_219 ),
inference(avatar_component_clause,[],[f1617]) ).
fof(f3157,plain,
( ~ spl30_18
| ~ spl30_47
| spl30_418 ),
inference(avatar_split_clause,[],[f3001,f2986,f609,f463]) ).
fof(f3001,plain,
( ~ l1_group_1(sK23)
| ~ spl30_47
| spl30_418 ),
inference(resolution,[],[f2988,f610]) ).
fof(f2988,plain,
( ~ v1_funct_1(u1_group_1(sK23))
| spl30_418 ),
inference(avatar_component_clause,[],[f2986]) ).
fof(f3153,plain,
( spl30_445
| ~ spl30_114
| ~ spl30_266 ),
inference(avatar_split_clause,[],[f1948,f1939,f972,f3151]) ).
fof(f3151,plain,
( spl30_445
<=> ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| m1_subset_1(sK16(u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)),k1_autgroup(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_445])]) ).
fof(f972,plain,
( spl30_114
<=> ! [X0,X3,X2,X1] :
( m1_subset_1(X3,X2)
| ~ m2_fraenkel(X3,X0,X1,X2)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_114])]) ).
fof(f1948,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| m1_subset_1(sK16(u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)),k1_autgroup(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0)) )
| ~ spl30_114
| ~ spl30_266 ),
inference(duplicate_literal_removal,[],[f1945]) ).
fof(f1945,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| m1_subset_1(sK16(u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)),k1_autgroup(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl30_114
| ~ spl30_266 ),
inference(resolution,[],[f1940,f973]) ).
fof(f973,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_fraenkel(X3,X0,X1,X2)
| m1_subset_1(X3,X2)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) )
| ~ spl30_114 ),
inference(avatar_component_clause,[],[f972]) ).
fof(f3149,plain,
( spl30_444
| ~ spl30_137
| ~ spl30_234 ),
inference(avatar_split_clause,[],[f1734,f1723,f1123,f3147]) ).
fof(f3147,plain,
( spl30_444
<=> ! [X2,X0,X1] :
( ~ m1_group_2(X0,X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| k3_group_1(X1,sK10(u1_struct_0(X0))) = k3_group_1(X2,sK10(u1_struct_0(X0)))
| ~ m1_group_2(X1,X2)
| ~ m1_subset_1(sK10(u1_struct_0(X0)),u1_struct_0(X2))
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_444])]) ).
fof(f1723,plain,
( spl30_234
<=> ! [X0,X1] :
( m1_subset_1(sK10(u1_struct_0(X0)),u1_struct_0(X1))
| ~ m1_group_2(X0,X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_234])]) ).
fof(f1734,plain,
( ! [X2,X0,X1] :
( ~ m1_group_2(X0,X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| k3_group_1(X1,sK10(u1_struct_0(X0))) = k3_group_1(X2,sK10(u1_struct_0(X0)))
| ~ m1_group_2(X1,X2)
| ~ m1_subset_1(sK10(u1_struct_0(X0)),u1_struct_0(X2))
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2) )
| ~ spl30_137
| ~ spl30_234 ),
inference(resolution,[],[f1724,f1124]) ).
fof(f1724,plain,
( ! [X0,X1] :
( m1_subset_1(sK10(u1_struct_0(X0)),u1_struct_0(X1))
| ~ m1_group_2(X0,X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1) )
| ~ spl30_234 ),
inference(avatar_component_clause,[],[f1723]) ).
fof(f3128,plain,
( spl30_443
| ~ spl30_138
| ~ spl30_265 ),
inference(avatar_split_clause,[],[f1937,f1923,f1133,f3126]) ).
fof(f3126,plain,
( spl30_443
<=> ! [X0,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k4_autgroup(X0))
| ~ m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(k3_autgroup(X0)))
| k2_funct_1(X1) = k3_group_1(k3_autgroup(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_443])]) ).
fof(f1923,plain,
( spl30_265
<=> ! [X0,X1] :
( m2_fraenkel(X0,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X0,k4_autgroup(X1))
| ~ m1_fraenkel(k4_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1))
| v1_xboole_0(u1_struct_0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_265])]) ).
fof(f1937,plain,
( ! [X0,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k4_autgroup(X0))
| ~ m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(k3_autgroup(X0)))
| k2_funct_1(X1) = k3_group_1(k3_autgroup(X0),X1) )
| ~ spl30_138
| ~ spl30_265 ),
inference(duplicate_literal_removal,[],[f1928]) ).
fof(f1928,plain,
( ! [X0,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k4_autgroup(X0))
| ~ m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(k3_autgroup(X0)))
| k2_funct_1(X1) = k3_group_1(k3_autgroup(X0),X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) )
| ~ spl30_138
| ~ spl30_265 ),
inference(resolution,[],[f1924,f1134]) ).
fof(f1924,plain,
( ! [X0,X1] :
( m2_fraenkel(X0,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X0,k4_autgroup(X1))
| ~ m1_fraenkel(k4_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1))
| v1_xboole_0(u1_struct_0(X1)) )
| ~ spl30_265 ),
inference(avatar_component_clause,[],[f1923]) ).
fof(f3124,plain,
( spl30_442
| ~ spl30_123
| ~ spl30_258 ),
inference(avatar_split_clause,[],[f1883,f1875,f1036,f3122]) ).
fof(f3122,plain,
( spl30_442
<=> ! [X0,X3,X2,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_group_2(X0,X2)
| ~ l1_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2)
| m1_subset_1(k3_group_1(X0,X1),u1_struct_0(X3))
| ~ m1_group_2(X2,X3)
| ~ l1_group_1(X3)
| ~ v3_group_1(X3)
| v3_struct_0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_442])]) ).
fof(f1036,plain,
( spl30_123
<=> ! [X2,X0,X1] :
( m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_123])]) ).
fof(f1883,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_group_2(X0,X2)
| ~ l1_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2)
| m1_subset_1(k3_group_1(X0,X1),u1_struct_0(X3))
| ~ m1_group_2(X2,X3)
| ~ l1_group_1(X3)
| ~ v3_group_1(X3)
| v3_struct_0(X3) )
| ~ spl30_123
| ~ spl30_258 ),
inference(resolution,[],[f1876,f1037]) ).
fof(f1037,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_struct_0(X1))
| m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl30_123 ),
inference(avatar_component_clause,[],[f1036]) ).
fof(f3111,plain,
( spl30_441
| ~ spl30_114
| ~ spl30_265 ),
inference(avatar_split_clause,[],[f1934,f1923,f972,f3109]) ).
fof(f3109,plain,
( spl30_441
<=> ! [X0,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k4_autgroup(X0))
| ~ m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| m1_subset_1(X1,k1_autgroup(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_441])]) ).
fof(f1934,plain,
( ! [X0,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k4_autgroup(X0))
| ~ m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| m1_subset_1(X1,k1_autgroup(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0)) )
| ~ spl30_114
| ~ spl30_265 ),
inference(duplicate_literal_removal,[],[f1931]) ).
fof(f1931,plain,
( ! [X0,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k4_autgroup(X0))
| ~ m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| m1_subset_1(X1,k1_autgroup(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl30_114
| ~ spl30_265 ),
inference(resolution,[],[f1924,f973]) ).
fof(f3107,plain,
( spl30_440
| ~ spl30_133
| ~ spl30_220 ),
inference(avatar_split_clause,[],[f1675,f1638,f1097,f3105]) ).
fof(f3105,plain,
( spl30_440
<=> ! [X0,X1] :
( ~ m1_fraenkel(X0,k2_zfmisc_1(X1,X1),X1)
| v1_xboole_0(X1)
| ~ m1_relset_1(sK16(k2_zfmisc_1(X1,X1),X1,X0),k2_zfmisc_1(X1,X1),X1)
| ~ v3_struct_0(g1_group_1(X1,sK16(k2_zfmisc_1(X1,X1),X1,X0)))
| ~ v1_funct_1(sK16(k2_zfmisc_1(X1,X1),X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_440])]) ).
fof(f1097,plain,
( spl30_133
<=> ! [X0,X1] :
( ~ v3_struct_0(g1_group_1(X0,X1))
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_133])]) ).
fof(f1638,plain,
( spl30_220
<=> ! [X2,X0,X1] :
( v1_funct_2(sK16(X0,X1,X2),X0,X1)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_220])]) ).
fof(f1675,plain,
( ! [X0,X1] :
( ~ m1_fraenkel(X0,k2_zfmisc_1(X1,X1),X1)
| v1_xboole_0(X1)
| ~ m1_relset_1(sK16(k2_zfmisc_1(X1,X1),X1,X0),k2_zfmisc_1(X1,X1),X1)
| ~ v3_struct_0(g1_group_1(X1,sK16(k2_zfmisc_1(X1,X1),X1,X0)))
| ~ v1_funct_1(sK16(k2_zfmisc_1(X1,X1),X1,X0)) )
| ~ spl30_133
| ~ spl30_220 ),
inference(duplicate_literal_removal,[],[f1672]) ).
fof(f1672,plain,
( ! [X0,X1] :
( ~ m1_fraenkel(X0,k2_zfmisc_1(X1,X1),X1)
| v1_xboole_0(X1)
| ~ m1_relset_1(sK16(k2_zfmisc_1(X1,X1),X1,X0),k2_zfmisc_1(X1,X1),X1)
| ~ v3_struct_0(g1_group_1(X1,sK16(k2_zfmisc_1(X1,X1),X1,X0)))
| ~ v1_funct_1(sK16(k2_zfmisc_1(X1,X1),X1,X0))
| v1_xboole_0(X1) )
| ~ spl30_133
| ~ spl30_220 ),
inference(resolution,[],[f1639,f1098]) ).
fof(f1098,plain,
( ! [X0,X1] :
( ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v3_struct_0(g1_group_1(X0,X1))
| ~ v1_funct_1(X1)
| v1_xboole_0(X0) )
| ~ spl30_133 ),
inference(avatar_component_clause,[],[f1097]) ).
fof(f1639,plain,
( ! [X2,X0,X1] :
( v1_funct_2(sK16(X0,X1,X2),X0,X1)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) )
| ~ spl30_220 ),
inference(avatar_component_clause,[],[f1638]) ).
fof(f3103,plain,
( spl30_439
| ~ spl30_129
| ~ spl30_220 ),
inference(avatar_split_clause,[],[f1674,f1638,f1067,f3101]) ).
fof(f3101,plain,
( spl30_439
<=> ! [X0,X1] :
( ~ m1_fraenkel(X0,k2_zfmisc_1(X1,X1),X1)
| v1_xboole_0(X1)
| ~ m1_relset_1(sK16(k2_zfmisc_1(X1,X1),X1,X0),k2_zfmisc_1(X1,X1),X1)
| v1_group_1(g1_group_1(X1,sK16(k2_zfmisc_1(X1,X1),X1,X0)))
| ~ v1_funct_1(sK16(k2_zfmisc_1(X1,X1),X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_439])]) ).
fof(f1067,plain,
( spl30_129
<=> ! [X0,X1] :
( v1_group_1(g1_group_1(X0,X1))
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_129])]) ).
fof(f1674,plain,
( ! [X0,X1] :
( ~ m1_fraenkel(X0,k2_zfmisc_1(X1,X1),X1)
| v1_xboole_0(X1)
| ~ m1_relset_1(sK16(k2_zfmisc_1(X1,X1),X1,X0),k2_zfmisc_1(X1,X1),X1)
| v1_group_1(g1_group_1(X1,sK16(k2_zfmisc_1(X1,X1),X1,X0)))
| ~ v1_funct_1(sK16(k2_zfmisc_1(X1,X1),X1,X0)) )
| ~ spl30_129
| ~ spl30_220 ),
inference(resolution,[],[f1639,f1068]) ).
fof(f1068,plain,
( ! [X0,X1] :
( ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| v1_group_1(g1_group_1(X0,X1))
| ~ v1_funct_1(X1) )
| ~ spl30_129 ),
inference(avatar_component_clause,[],[f1067]) ).
fof(f3099,plain,
( spl30_438
| ~ spl30_130
| ~ spl30_220 ),
inference(avatar_split_clause,[],[f1673,f1638,f1071,f3097]) ).
fof(f3097,plain,
( spl30_438
<=> ! [X0,X1] :
( ~ m1_fraenkel(X0,k2_zfmisc_1(X1,X1),X1)
| v1_xboole_0(X1)
| ~ m1_relset_1(sK16(k2_zfmisc_1(X1,X1),X1,X0),k2_zfmisc_1(X1,X1),X1)
| l1_group_1(g1_group_1(X1,sK16(k2_zfmisc_1(X1,X1),X1,X0)))
| ~ v1_funct_1(sK16(k2_zfmisc_1(X1,X1),X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_438])]) ).
fof(f1071,plain,
( spl30_130
<=> ! [X0,X1] :
( l1_group_1(g1_group_1(X0,X1))
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_130])]) ).
fof(f1673,plain,
( ! [X0,X1] :
( ~ m1_fraenkel(X0,k2_zfmisc_1(X1,X1),X1)
| v1_xboole_0(X1)
| ~ m1_relset_1(sK16(k2_zfmisc_1(X1,X1),X1,X0),k2_zfmisc_1(X1,X1),X1)
| l1_group_1(g1_group_1(X1,sK16(k2_zfmisc_1(X1,X1),X1,X0)))
| ~ v1_funct_1(sK16(k2_zfmisc_1(X1,X1),X1,X0)) )
| ~ spl30_130
| ~ spl30_220 ),
inference(resolution,[],[f1639,f1072]) ).
fof(f1072,plain,
( ! [X0,X1] :
( ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| l1_group_1(g1_group_1(X0,X1))
| ~ v1_funct_1(X1) )
| ~ spl30_130 ),
inference(avatar_component_clause,[],[f1071]) ).
fof(f3081,plain,
( spl30_437
| ~ spl30_258
| ~ spl30_270 ),
inference(avatar_split_clause,[],[f1979,f1974,f1875,f3079]) ).
fof(f3079,plain,
( spl30_437
<=> ! [X2,X0,X1] :
( ~ m1_group_2(X0,X1)
| k3_group_1(X0,k3_group_1(X0,X2)) = k3_group_1(X1,k3_group_1(X0,X2))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_437])]) ).
fof(f1974,plain,
( spl30_270
<=> ! [X2,X0,X1] :
( k3_group_1(X0,k3_group_1(X0,X1)) = k3_group_1(X2,k3_group_1(X0,X1))
| ~ m1_group_2(X0,X2)
| ~ m1_subset_1(k3_group_1(X0,X1),u1_struct_0(X2))
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_270])]) ).
fof(f1979,plain,
( ! [X2,X0,X1] :
( ~ m1_group_2(X0,X1)
| k3_group_1(X0,k3_group_1(X0,X2)) = k3_group_1(X1,k3_group_1(X0,X2))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl30_258
| ~ spl30_270 ),
inference(duplicate_literal_removal,[],[f1978]) ).
fof(f1978,plain,
( ! [X2,X0,X1] :
( ~ m1_group_2(X0,X1)
| k3_group_1(X0,k3_group_1(X0,X2)) = k3_group_1(X1,k3_group_1(X0,X2))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_group_2(X0,X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1) )
| ~ spl30_258
| ~ spl30_270 ),
inference(resolution,[],[f1975,f1876]) ).
fof(f1975,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(k3_group_1(X0,X1),u1_struct_0(X2))
| ~ m1_group_2(X0,X2)
| k3_group_1(X0,k3_group_1(X0,X1)) = k3_group_1(X2,k3_group_1(X0,X1))
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl30_270 ),
inference(avatar_component_clause,[],[f1974]) ).
fof(f3074,plain,
( spl30_436
| ~ spl30_41
| ~ spl30_416 ),
inference(avatar_split_clause,[],[f3023,f2974,f575,f3071]) ).
fof(f3071,plain,
( spl30_436
<=> v1_funct_1(sK10(k1_autgroup(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_436])]) ).
fof(f575,plain,
( spl30_41
<=> ! [X0] : m1_subset_1(sK10(X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_41])]) ).
fof(f2974,plain,
( spl30_416
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_autgroup(sK3))
| v1_funct_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_416])]) ).
fof(f3023,plain,
( v1_funct_1(sK10(k1_autgroup(sK3)))
| ~ spl30_41
| ~ spl30_416 ),
inference(resolution,[],[f2975,f576]) ).
fof(f576,plain,
( ! [X0] : m1_subset_1(sK10(X0),X0)
| ~ spl30_41 ),
inference(avatar_component_clause,[],[f575]) ).
fof(f2975,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_autgroup(sK3))
| v1_funct_1(X0) )
| ~ spl30_416 ),
inference(avatar_component_clause,[],[f2974]) ).
fof(f3069,plain,
( ~ spl30_432
| ~ spl30_433
| ~ spl30_434
| spl30_435
| ~ spl30_135
| ~ spl30_235 ),
inference(avatar_split_clause,[],[f1745,f1740,f1113,f3067,f3063,f3059,f3055]) ).
fof(f3055,plain,
( spl30_432
<=> v1_funct_1(k2_autgroup(sK24)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_432])]) ).
fof(f3059,plain,
( spl30_433
<=> v1_funct_2(k2_autgroup(sK24),k2_zfmisc_1(k1_autgroup(sK24),k1_autgroup(sK24)),k1_autgroup(sK24)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_433])]) ).
fof(f3063,plain,
( spl30_434
<=> m1_relset_1(k2_autgroup(sK24),k2_zfmisc_1(k1_autgroup(sK24),k1_autgroup(sK24)),k1_autgroup(sK24)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_434])]) ).
fof(f3067,plain,
( spl30_435
<=> ! [X0,X1] :
( g1_group_1(X0,X1) != k3_autgroup(sK24)
| k2_autgroup(sK24) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_435])]) ).
fof(f1113,plain,
( spl30_135
<=> ! [X0,X3,X2,X1] :
( X1 = X3
| g1_group_1(X0,X1) != g1_group_1(X2,X3)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_135])]) ).
fof(f1740,plain,
( spl30_235
<=> k3_autgroup(sK24) = g1_group_1(k1_autgroup(sK24),k2_autgroup(sK24)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_235])]) ).
fof(f1745,plain,
( ! [X0,X1] :
( g1_group_1(X0,X1) != k3_autgroup(sK24)
| k2_autgroup(sK24) = X1
| ~ m1_relset_1(k2_autgroup(sK24),k2_zfmisc_1(k1_autgroup(sK24),k1_autgroup(sK24)),k1_autgroup(sK24))
| ~ v1_funct_2(k2_autgroup(sK24),k2_zfmisc_1(k1_autgroup(sK24),k1_autgroup(sK24)),k1_autgroup(sK24))
| ~ v1_funct_1(k2_autgroup(sK24)) )
| ~ spl30_135
| ~ spl30_235 ),
inference(superposition,[],[f1114,f1742]) ).
fof(f1742,plain,
( k3_autgroup(sK24) = g1_group_1(k1_autgroup(sK24),k2_autgroup(sK24))
| ~ spl30_235 ),
inference(avatar_component_clause,[],[f1740]) ).
fof(f1114,plain,
( ! [X2,X3,X0,X1] :
( g1_group_1(X0,X1) != g1_group_1(X2,X3)
| X1 = X3
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl30_135 ),
inference(avatar_component_clause,[],[f1113]) ).
fof(f3053,plain,
( spl30_431
| ~ spl30_241
| ~ spl30_258 ),
inference(avatar_split_clause,[],[f1888,f1875,f1774,f3051]) ).
fof(f3051,plain,
( spl30_431
<=> ! [X2,X0,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_group_2(X0,X2)
| ~ l1_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2)
| ~ v4_group_1(X2)
| v1_relat_1(k3_group_1(X2,k3_group_1(X0,X1)))
| ~ v1_fraenkel(u1_struct_0(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_431])]) ).
fof(f1774,plain,
( spl30_241
<=> ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| v1_relat_1(k3_group_1(X1,X0))
| ~ v1_fraenkel(u1_struct_0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_241])]) ).
fof(f1888,plain,
( ! [X2,X0,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_group_2(X0,X2)
| ~ l1_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2)
| ~ v4_group_1(X2)
| v1_relat_1(k3_group_1(X2,k3_group_1(X0,X1)))
| ~ v1_fraenkel(u1_struct_0(X2)) )
| ~ spl30_241
| ~ spl30_258 ),
inference(duplicate_literal_removal,[],[f1880]) ).
fof(f1880,plain,
( ! [X2,X0,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_group_2(X0,X2)
| ~ l1_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2)
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2)
| v1_relat_1(k3_group_1(X2,k3_group_1(X0,X1)))
| ~ v1_fraenkel(u1_struct_0(X2)) )
| ~ spl30_241
| ~ spl30_258 ),
inference(resolution,[],[f1876,f1775]) ).
fof(f1775,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| v1_relat_1(k3_group_1(X1,X0))
| ~ v1_fraenkel(u1_struct_0(X1)) )
| ~ spl30_241 ),
inference(avatar_component_clause,[],[f1774]) ).
fof(f3049,plain,
( spl30_430
| ~ spl30_240
| ~ spl30_258 ),
inference(avatar_split_clause,[],[f1887,f1875,f1770,f3047]) ).
fof(f3047,plain,
( spl30_430
<=> ! [X2,X0,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_group_2(X0,X2)
| ~ l1_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2)
| ~ v4_group_1(X2)
| v1_funct_1(k3_group_1(X2,k3_group_1(X0,X1)))
| ~ v1_fraenkel(u1_struct_0(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_430])]) ).
fof(f1770,plain,
( spl30_240
<=> ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| v1_funct_1(k3_group_1(X1,X0))
| ~ v1_fraenkel(u1_struct_0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_240])]) ).
fof(f1887,plain,
( ! [X2,X0,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_group_2(X0,X2)
| ~ l1_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2)
| ~ v4_group_1(X2)
| v1_funct_1(k3_group_1(X2,k3_group_1(X0,X1)))
| ~ v1_fraenkel(u1_struct_0(X2)) )
| ~ spl30_240
| ~ spl30_258 ),
inference(duplicate_literal_removal,[],[f1881]) ).
fof(f1881,plain,
( ! [X2,X0,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_group_2(X0,X2)
| ~ l1_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2)
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2)
| v1_funct_1(k3_group_1(X2,k3_group_1(X0,X1)))
| ~ v1_fraenkel(u1_struct_0(X2)) )
| ~ spl30_240
| ~ spl30_258 ),
inference(resolution,[],[f1876,f1771]) ).
fof(f1771,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| v1_funct_1(k3_group_1(X1,X0))
| ~ v1_fraenkel(u1_struct_0(X1)) )
| ~ spl30_240 ),
inference(avatar_component_clause,[],[f1770]) ).
fof(f3042,plain,
( ~ spl30_426
| ~ spl30_427
| ~ spl30_428
| spl30_429
| ~ spl30_135
| ~ spl30_200 ),
inference(avatar_split_clause,[],[f1499,f1494,f1113,f3040,f3036,f3032,f3028]) ).
fof(f1499,plain,
( ! [X0,X1] :
( g1_group_1(X0,X1) != sK25
| u1_group_1(sK25) = X1
| ~ m1_relset_1(u1_group_1(sK25),k2_zfmisc_1(u1_struct_0(sK25),u1_struct_0(sK25)),u1_struct_0(sK25))
| ~ v1_funct_2(u1_group_1(sK25),k2_zfmisc_1(u1_struct_0(sK25),u1_struct_0(sK25)),u1_struct_0(sK25))
| ~ v1_funct_1(u1_group_1(sK25)) )
| ~ spl30_135
| ~ spl30_200 ),
inference(superposition,[],[f1114,f1496]) ).
fof(f3019,plain,
( ~ spl30_422
| ~ spl30_423
| ~ spl30_424
| spl30_425
| ~ spl30_135
| ~ spl30_199 ),
inference(avatar_split_clause,[],[f1490,f1485,f1113,f3017,f3013,f3009,f3005]) ).
fof(f1490,plain,
( ! [X0,X1] :
( g1_group_1(X0,X1) != sK24
| u1_group_1(sK24) = X1
| ~ m1_relset_1(u1_group_1(sK24),k2_zfmisc_1(u1_struct_0(sK24),u1_struct_0(sK24)),u1_struct_0(sK24))
| ~ v1_funct_2(u1_group_1(sK24),k2_zfmisc_1(u1_struct_0(sK24),u1_struct_0(sK24)),u1_struct_0(sK24))
| ~ v1_funct_1(u1_group_1(sK24)) )
| ~ spl30_135
| ~ spl30_199 ),
inference(superposition,[],[f1114,f1487]) ).
fof(f3000,plain,
( ~ spl30_418
| ~ spl30_419
| ~ spl30_420
| spl30_421
| ~ spl30_135
| ~ spl30_198 ),
inference(avatar_split_clause,[],[f1481,f1476,f1113,f2998,f2994,f2990,f2986]) ).
fof(f1481,plain,
( ! [X0,X1] :
( g1_group_1(X0,X1) != sK23
| u1_group_1(sK23) = X1
| ~ m1_relset_1(u1_group_1(sK23),k2_zfmisc_1(u1_struct_0(sK23),u1_struct_0(sK23)),u1_struct_0(sK23))
| ~ v1_funct_2(u1_group_1(sK23),k2_zfmisc_1(u1_struct_0(sK23),u1_struct_0(sK23)),u1_struct_0(sK23))
| ~ v1_funct_1(u1_group_1(sK23)) )
| ~ spl30_135
| ~ spl30_198 ),
inference(superposition,[],[f1114,f1478]) ).
fof(f2980,plain,
( spl30_417
| ~ spl30_127
| ~ spl30_211 ),
inference(avatar_split_clause,[],[f1589,f1560,f1059,f2978]) ).
fof(f2978,plain,
( spl30_417
<=> ! [X0] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ sP1(X0)
| k3_autgroup(sK8(X0)) = g1_group_1(k1_autgroup(sK8(X0)),k2_autgroup(sK8(X0)))
| ~ v4_group_1(sK8(X0))
| ~ v3_group_1(sK8(X0))
| ~ v1_group_1(sK8(X0))
| v3_struct_0(sK8(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_417])]) ).
fof(f1059,plain,
( spl30_127
<=> ! [X0] :
( k3_autgroup(X0) = g1_group_1(k1_autgroup(X0),k2_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_127])]) ).
fof(f1560,plain,
( spl30_211
<=> ! [X0] :
( l1_group_1(sK8(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_211])]) ).
fof(f1589,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ sP1(X0)
| k3_autgroup(sK8(X0)) = g1_group_1(k1_autgroup(sK8(X0)),k2_autgroup(sK8(X0)))
| ~ v4_group_1(sK8(X0))
| ~ v3_group_1(sK8(X0))
| ~ v1_group_1(sK8(X0))
| v3_struct_0(sK8(X0)) )
| ~ spl30_127
| ~ spl30_211 ),
inference(resolution,[],[f1561,f1060]) ).
fof(f1060,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| k3_autgroup(X0) = g1_group_1(k1_autgroup(X0),k2_autgroup(X0))
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) )
| ~ spl30_127 ),
inference(avatar_component_clause,[],[f1059]) ).
fof(f1561,plain,
( ! [X0] :
( l1_group_1(sK8(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ sP1(X0) )
| ~ spl30_211 ),
inference(avatar_component_clause,[],[f1560]) ).
fof(f2976,plain,
( spl30_143
| spl30_416
| ~ spl30_213
| ~ spl30_277 ),
inference(avatar_split_clause,[],[f2613,f2018,f1568,f2974,f1165]) ).
fof(f1165,plain,
( spl30_143
<=> v1_xboole_0(u1_struct_0(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_143])]) ).
fof(f1568,plain,
( spl30_213
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,X1)
| ~ m1_fraenkel(X1,X2,X3)
| v1_xboole_0(X3)
| v1_funct_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_213])]) ).
fof(f2018,plain,
( spl30_277
<=> m1_fraenkel(k1_autgroup(sK3),u1_struct_0(sK3),u1_struct_0(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_277])]) ).
fof(f2613,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_autgroup(sK3))
| v1_xboole_0(u1_struct_0(sK3))
| v1_funct_1(X0) )
| ~ spl30_213
| ~ spl30_277 ),
inference(resolution,[],[f2019,f1569]) ).
fof(f1569,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_fraenkel(X1,X2,X3)
| ~ m1_subset_1(X0,X1)
| v1_xboole_0(X3)
| v1_funct_1(X0) )
| ~ spl30_213 ),
inference(avatar_component_clause,[],[f1568]) ).
fof(f2019,plain,
( m1_fraenkel(k1_autgroup(sK3),u1_struct_0(sK3),u1_struct_0(sK3))
| ~ spl30_277 ),
inference(avatar_component_clause,[],[f2018]) ).
fof(f2972,plain,
( spl30_415
| ~ spl30_127
| ~ spl30_210 ),
inference(avatar_split_clause,[],[f1583,f1550,f1059,f2970]) ).
fof(f2970,plain,
( spl30_415
<=> ! [X0] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ sP0(X0)
| k3_autgroup(sK7(X0)) = g1_group_1(k1_autgroup(sK7(X0)),k2_autgroup(sK7(X0)))
| ~ v4_group_1(sK7(X0))
| ~ v3_group_1(sK7(X0))
| ~ v1_group_1(sK7(X0))
| v3_struct_0(sK7(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_415])]) ).
fof(f1550,plain,
( spl30_210
<=> ! [X0] :
( l1_group_1(sK7(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_210])]) ).
fof(f1583,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ sP0(X0)
| k3_autgroup(sK7(X0)) = g1_group_1(k1_autgroup(sK7(X0)),k2_autgroup(sK7(X0)))
| ~ v4_group_1(sK7(X0))
| ~ v3_group_1(sK7(X0))
| ~ v1_group_1(sK7(X0))
| v3_struct_0(sK7(X0)) )
| ~ spl30_127
| ~ spl30_210 ),
inference(resolution,[],[f1551,f1060]) ).
fof(f1551,plain,
( ! [X0] :
( l1_group_1(sK7(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ sP0(X0) )
| ~ spl30_210 ),
inference(avatar_component_clause,[],[f1550]) ).
fof(f2965,plain,
( spl30_414
| ~ spl30_90
| ~ spl30_258 ),
inference(avatar_split_clause,[],[f1884,f1875,f809,f2963]) ).
fof(f2963,plain,
( spl30_414
<=> ! [X2,X0,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_group_2(X0,X2)
| ~ l1_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2)
| v1_xboole_0(u1_struct_0(X2))
| r2_hidden(k3_group_1(X0,X1),u1_struct_0(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_414])]) ).
fof(f809,plain,
( spl30_90
<=> ! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_90])]) ).
fof(f1884,plain,
( ! [X2,X0,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_group_2(X0,X2)
| ~ l1_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2)
| v1_xboole_0(u1_struct_0(X2))
| r2_hidden(k3_group_1(X0,X1),u1_struct_0(X2)) )
| ~ spl30_90
| ~ spl30_258 ),
inference(resolution,[],[f1876,f810]) ).
fof(f810,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| v1_xboole_0(X1)
| r2_hidden(X0,X1) )
| ~ spl30_90 ),
inference(avatar_component_clause,[],[f809]) ).
fof(f2951,plain,
( spl30_413
| ~ spl30_125
| ~ spl30_269 ),
inference(avatar_split_clause,[],[f1972,f1966,f1044,f2949]) ).
fof(f2949,plain,
( spl30_413
<=> ! [X0,X1] :
( k2_funct_1(X0) = k3_group_1(k3_autgroup(X1),X0)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X0,k1_autgroup(X1))
| ~ m1_subset_1(X0,u1_struct_0(k3_autgroup(X1)))
| v1_xboole_0(u1_struct_0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_413])]) ).
fof(f1044,plain,
( spl30_125
<=> ! [X0] :
( m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_125])]) ).
fof(f1966,plain,
( spl30_269
<=> ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(k3_autgroup(X1)))
| k2_funct_1(X0) = k3_group_1(k3_autgroup(X1),X0)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X0,k1_autgroup(X1))
| ~ m1_fraenkel(k1_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1))
| v1_xboole_0(u1_struct_0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_269])]) ).
fof(f1972,plain,
( ! [X0,X1] :
( k2_funct_1(X0) = k3_group_1(k3_autgroup(X1),X0)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X0,k1_autgroup(X1))
| ~ m1_subset_1(X0,u1_struct_0(k3_autgroup(X1)))
| v1_xboole_0(u1_struct_0(X1)) )
| ~ spl30_125
| ~ spl30_269 ),
inference(duplicate_literal_removal,[],[f1971]) ).
fof(f1971,plain,
( ! [X0,X1] :
( k2_funct_1(X0) = k3_group_1(k3_autgroup(X1),X0)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X0,k1_autgroup(X1))
| ~ m1_subset_1(X0,u1_struct_0(k3_autgroup(X1)))
| v1_xboole_0(u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1) )
| ~ spl30_125
| ~ spl30_269 ),
inference(resolution,[],[f1967,f1045]) ).
fof(f1045,plain,
( ! [X0] :
( m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) )
| ~ spl30_125 ),
inference(avatar_component_clause,[],[f1044]) ).
fof(f1967,plain,
( ! [X0,X1] :
( ~ m1_fraenkel(k1_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1))
| k2_funct_1(X0) = k3_group_1(k3_autgroup(X1),X0)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X0,k1_autgroup(X1))
| ~ m1_subset_1(X0,u1_struct_0(k3_autgroup(X1)))
| v1_xboole_0(u1_struct_0(X1)) )
| ~ spl30_269 ),
inference(avatar_component_clause,[],[f1966]) ).
fof(f2947,plain,
( spl30_412
| ~ spl30_127
| ~ spl30_203 ),
inference(avatar_split_clause,[],[f1515,f1511,f1059,f2945]) ).
fof(f2945,plain,
( spl30_412
<=> ! [X0] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| k3_autgroup(sK9(X0)) = g1_group_1(k1_autgroup(sK9(X0)),k2_autgroup(sK9(X0)))
| ~ v4_group_1(sK9(X0))
| ~ v3_group_1(sK9(X0))
| ~ v1_group_1(sK9(X0))
| v3_struct_0(sK9(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_412])]) ).
fof(f1511,plain,
( spl30_203
<=> ! [X0] :
( l1_group_1(sK9(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_203])]) ).
fof(f1515,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| k3_autgroup(sK9(X0)) = g1_group_1(k1_autgroup(sK9(X0)),k2_autgroup(sK9(X0)))
| ~ v4_group_1(sK9(X0))
| ~ v3_group_1(sK9(X0))
| ~ v1_group_1(sK9(X0))
| v3_struct_0(sK9(X0)) )
| ~ spl30_127
| ~ spl30_203 ),
inference(resolution,[],[f1512,f1060]) ).
fof(f1512,plain,
( ! [X0] :
( l1_group_1(sK9(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl30_203 ),
inference(avatar_component_clause,[],[f1511]) ).
fof(f2915,plain,
( spl30_411
| ~ spl30_79
| ~ spl30_258 ),
inference(avatar_split_clause,[],[f1886,f1875,f750,f2913]) ).
fof(f2913,plain,
( spl30_411
<=> ! [X2,X0,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_group_2(X0,X2)
| ~ l1_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2)
| v1_relat_1(k3_group_1(X0,X1))
| ~ v1_fraenkel(u1_struct_0(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_411])]) ).
fof(f750,plain,
( spl30_79
<=> ! [X0,X1] :
( v1_relat_1(X1)
| ~ m1_subset_1(X1,X0)
| ~ v1_fraenkel(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_79])]) ).
fof(f1886,plain,
( ! [X2,X0,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_group_2(X0,X2)
| ~ l1_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2)
| v1_relat_1(k3_group_1(X0,X1))
| ~ v1_fraenkel(u1_struct_0(X2)) )
| ~ spl30_79
| ~ spl30_258 ),
inference(resolution,[],[f1876,f751]) ).
fof(f751,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_relat_1(X1)
| ~ v1_fraenkel(X0) )
| ~ spl30_79 ),
inference(avatar_component_clause,[],[f750]) ).
fof(f2911,plain,
( spl30_410
| ~ spl30_80
| ~ spl30_258 ),
inference(avatar_split_clause,[],[f1885,f1875,f754,f2909]) ).
fof(f2909,plain,
( spl30_410
<=> ! [X2,X0,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_group_2(X0,X2)
| ~ l1_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2)
| v1_funct_1(k3_group_1(X0,X1))
| ~ v1_fraenkel(u1_struct_0(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_410])]) ).
fof(f754,plain,
( spl30_80
<=> ! [X0,X1] :
( v1_funct_1(X1)
| ~ m1_subset_1(X1,X0)
| ~ v1_fraenkel(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_80])]) ).
fof(f1885,plain,
( ! [X2,X0,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_group_2(X0,X2)
| ~ l1_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2)
| v1_funct_1(k3_group_1(X0,X1))
| ~ v1_fraenkel(u1_struct_0(X2)) )
| ~ spl30_80
| ~ spl30_258 ),
inference(resolution,[],[f1876,f755]) ).
fof(f755,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_funct_1(X1)
| ~ v1_fraenkel(X0) )
| ~ spl30_80 ),
inference(avatar_component_clause,[],[f754]) ).
fof(f2905,plain,
( spl30_409
| ~ spl30_242
| ~ spl30_268 ),
inference(avatar_split_clause,[],[f1970,f1962,f1792,f2903]) ).
fof(f2903,plain,
( spl30_409
<=> ! [X0] :
( ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_partfun1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(k2_autgroup(X0))
| ~ l1_group_1(X0)
| v1_xboole_0(k1_autgroup(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_409])]) ).
fof(f1792,plain,
( spl30_242
<=> ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| m1_relset_1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_242])]) ).
fof(f1962,plain,
( spl30_268
<=> ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_partfun1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(k2_autgroup(X0))
| ~ m1_relset_1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| v1_xboole_0(k1_autgroup(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_268])]) ).
fof(f1970,plain,
( ! [X0] :
( ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_partfun1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(k2_autgroup(X0))
| ~ l1_group_1(X0)
| v1_xboole_0(k1_autgroup(X0)) )
| ~ spl30_242
| ~ spl30_268 ),
inference(duplicate_literal_removal,[],[f1969]) ).
fof(f1969,plain,
( ! [X0] :
( ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_partfun1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(k2_autgroup(X0))
| ~ l1_group_1(X0)
| v1_xboole_0(k1_autgroup(X0))
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0) )
| ~ spl30_242
| ~ spl30_268 ),
inference(resolution,[],[f1963,f1793]) ).
fof(f1793,plain,
( ! [X0] :
( m1_relset_1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0) )
| ~ spl30_242 ),
inference(avatar_component_clause,[],[f1792]) ).
fof(f1963,plain,
( ! [X0] :
( ~ m1_relset_1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_partfun1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(k2_autgroup(X0))
| ~ l1_group_1(X0)
| v1_xboole_0(k1_autgroup(X0)) )
| ~ spl30_268 ),
inference(avatar_component_clause,[],[f1962]) ).
fof(f2901,plain,
( spl30_408
| ~ spl30_219
| ~ spl30_241 ),
inference(avatar_split_clause,[],[f1788,f1774,f1617,f2899]) ).
fof(f2899,plain,
( spl30_408
<=> ! [X2,X0,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| v1_relat_1(k3_group_1(X0,sK16(X1,X2,u1_struct_0(X0))))
| ~ v1_fraenkel(u1_struct_0(X0))
| v1_xboole_0(X2)
| ~ m1_fraenkel(u1_struct_0(X0),X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_408])]) ).
fof(f1788,plain,
( ! [X2,X0,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| v1_relat_1(k3_group_1(X0,sK16(X1,X2,u1_struct_0(X0))))
| ~ v1_fraenkel(u1_struct_0(X0))
| v1_xboole_0(X2)
| ~ m1_fraenkel(u1_struct_0(X0),X1,X2) )
| ~ spl30_219
| ~ spl30_241 ),
inference(resolution,[],[f1775,f1618]) ).
fof(f2897,plain,
( spl30_407
| ~ spl30_219
| ~ spl30_240 ),
inference(avatar_split_clause,[],[f1781,f1770,f1617,f2895]) ).
fof(f2895,plain,
( spl30_407
<=> ! [X2,X0,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| v1_funct_1(k3_group_1(X0,sK16(X1,X2,u1_struct_0(X0))))
| ~ v1_fraenkel(u1_struct_0(X0))
| v1_xboole_0(X2)
| ~ m1_fraenkel(u1_struct_0(X0),X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_407])]) ).
fof(f1781,plain,
( ! [X2,X0,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| v1_funct_1(k3_group_1(X0,sK16(X1,X2,u1_struct_0(X0))))
| ~ v1_fraenkel(u1_struct_0(X0))
| v1_xboole_0(X2)
| ~ m1_fraenkel(u1_struct_0(X0),X1,X2) )
| ~ spl30_219
| ~ spl30_240 ),
inference(resolution,[],[f1771,f1618]) ).
fof(f2884,plain,
( ~ spl30_406
| ~ spl30_67
| ~ spl30_396 ),
inference(avatar_split_clause,[],[f2831,f2788,f698,f2881]) ).
fof(f2881,plain,
( spl30_406
<=> r2_hidden(k1_autgroup(sK3),sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_406])]) ).
fof(f698,plain,
( spl30_67
<=> ! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_67])]) ).
fof(f2788,plain,
( spl30_396
<=> r2_hidden(sK5,k1_autgroup(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_396])]) ).
fof(f2831,plain,
( ~ r2_hidden(k1_autgroup(sK3),sK5)
| ~ spl30_67
| ~ spl30_396 ),
inference(resolution,[],[f2790,f699]) ).
fof(f699,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) )
| ~ spl30_67 ),
inference(avatar_component_clause,[],[f698]) ).
fof(f2790,plain,
( r2_hidden(sK5,k1_autgroup(sK3))
| ~ spl30_396 ),
inference(avatar_component_clause,[],[f2788]) ).
fof(f2879,plain,
( spl30_405
| ~ spl30_242
| ~ spl30_267 ),
inference(avatar_split_clause,[],[f1960,f1953,f1792,f2877]) ).
fof(f2877,plain,
( spl30_405
<=> ! [X0] :
( ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k2_autgroup(X0))
| ~ v1_funct_1(k2_autgroup(X0))
| ~ l1_group_1(X0)
| v1_xboole_0(k1_autgroup(X0))
| v1_xboole_0(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_405])]) ).
fof(f1953,plain,
( spl30_267
<=> ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k2_autgroup(X0))
| ~ v1_funct_1(k2_autgroup(X0))
| ~ m1_relset_1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| v1_xboole_0(k1_autgroup(X0))
| v1_xboole_0(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_267])]) ).
fof(f1960,plain,
( ! [X0] :
( ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k2_autgroup(X0))
| ~ v1_funct_1(k2_autgroup(X0))
| ~ l1_group_1(X0)
| v1_xboole_0(k1_autgroup(X0))
| v1_xboole_0(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0))) )
| ~ spl30_242
| ~ spl30_267 ),
inference(duplicate_literal_removal,[],[f1959]) ).
fof(f1959,plain,
( ! [X0] :
( ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k2_autgroup(X0))
| ~ v1_funct_1(k2_autgroup(X0))
| ~ l1_group_1(X0)
| v1_xboole_0(k1_autgroup(X0))
| v1_xboole_0(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)))
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0) )
| ~ spl30_242
| ~ spl30_267 ),
inference(resolution,[],[f1954,f1793]) ).
fof(f1954,plain,
( ! [X0] :
( ~ m1_relset_1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k2_autgroup(X0))
| ~ v1_funct_1(k2_autgroup(X0))
| ~ l1_group_1(X0)
| v1_xboole_0(k1_autgroup(X0))
| v1_xboole_0(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0))) )
| ~ spl30_267 ),
inference(avatar_component_clause,[],[f1953]) ).
fof(f2875,plain,
( spl30_404
| ~ spl30_122
| ~ spl30_220 ),
inference(avatar_split_clause,[],[f1677,f1638,f1028,f2873]) ).
fof(f2873,plain,
( spl30_404
<=> ! [X2,X0,X1] :
( ~ m1_fraenkel(X0,X1,X2)
| v1_xboole_0(X2)
| ~ v1_xboole_0(sK16(X1,X2,X0))
| ~ v1_funct_1(sK16(X1,X2,X0))
| ~ m1_relset_1(sK16(X1,X2,X0),X1,X2)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_404])]) ).
fof(f1028,plain,
( spl30_122
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1)
| v1_xboole_0(X1)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_122])]) ).
fof(f1677,plain,
( ! [X2,X0,X1] :
( ~ m1_fraenkel(X0,X1,X2)
| v1_xboole_0(X2)
| ~ v1_xboole_0(sK16(X1,X2,X0))
| ~ v1_funct_1(sK16(X1,X2,X0))
| ~ m1_relset_1(sK16(X1,X2,X0),X1,X2)
| v1_xboole_0(X1) )
| ~ spl30_122
| ~ spl30_220 ),
inference(duplicate_literal_removal,[],[f1670]) ).
fof(f1670,plain,
( ! [X2,X0,X1] :
( ~ m1_fraenkel(X0,X1,X2)
| v1_xboole_0(X2)
| ~ v1_xboole_0(sK16(X1,X2,X0))
| ~ v1_funct_1(sK16(X1,X2,X0))
| ~ m1_relset_1(sK16(X1,X2,X0),X1,X2)
| v1_xboole_0(X2)
| v1_xboole_0(X1) )
| ~ spl30_122
| ~ spl30_220 ),
inference(resolution,[],[f1639,f1029]) ).
fof(f1029,plain,
( ! [X2,X0,X1] :
( ~ v1_funct_2(X2,X0,X1)
| ~ v1_xboole_0(X2)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1)
| v1_xboole_0(X1)
| v1_xboole_0(X0) )
| ~ spl30_122 ),
inference(avatar_component_clause,[],[f1028]) ).
fof(f2871,plain,
( spl30_403
| ~ spl30_121
| ~ spl30_220 ),
inference(avatar_split_clause,[],[f1676,f1638,f1024,f2869]) ).
fof(f2869,plain,
( spl30_403
<=> ! [X2,X0,X1] :
( ~ m1_fraenkel(X0,X1,X2)
| v1_xboole_0(X2)
| v1_partfun1(sK16(X1,X2,X0),X1,X2)
| ~ v1_funct_1(sK16(X1,X2,X0))
| ~ m1_relset_1(sK16(X1,X2,X0),X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_403])]) ).
fof(f1024,plain,
( spl30_121
<=> ! [X2,X0,X1] :
( v1_partfun1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_121])]) ).
fof(f1676,plain,
( ! [X2,X0,X1] :
( ~ m1_fraenkel(X0,X1,X2)
| v1_xboole_0(X2)
| v1_partfun1(sK16(X1,X2,X0),X1,X2)
| ~ v1_funct_1(sK16(X1,X2,X0))
| ~ m1_relset_1(sK16(X1,X2,X0),X1,X2) )
| ~ spl30_121
| ~ spl30_220 ),
inference(duplicate_literal_removal,[],[f1671]) ).
fof(f1671,plain,
( ! [X2,X0,X1] :
( ~ m1_fraenkel(X0,X1,X2)
| v1_xboole_0(X2)
| v1_partfun1(sK16(X1,X2,X0),X1,X2)
| ~ v1_funct_1(sK16(X1,X2,X0))
| ~ m1_relset_1(sK16(X1,X2,X0),X1,X2)
| v1_xboole_0(X2) )
| ~ spl30_121
| ~ spl30_220 ),
inference(resolution,[],[f1639,f1025]) ).
fof(f1025,plain,
( ! [X2,X0,X1] :
( ~ v1_funct_2(X2,X0,X1)
| v1_partfun1(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1)
| v1_xboole_0(X1) )
| ~ spl30_121 ),
inference(avatar_component_clause,[],[f1024]) ).
fof(f2836,plain,
( spl30_402
| ~ spl30_61
| ~ spl30_254 ),
inference(avatar_split_clause,[],[f1862,f1855,f665,f2834]) ).
fof(f2834,plain,
( spl30_402
<=> ! [X0] :
( ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v4_group_1(k5_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(k3_autgroup(X0))
| ~ v3_group_1(k3_autgroup(X0))
| v3_struct_0(k3_autgroup(X0))
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_402])]) ).
fof(f1855,plain,
( spl30_254
<=> ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v4_group_1(k5_autgroup(X0))
| ~ l1_group_1(k3_autgroup(X0))
| ~ v4_group_1(k3_autgroup(X0))
| ~ v3_group_1(k3_autgroup(X0))
| v3_struct_0(k3_autgroup(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_254])]) ).
fof(f1862,plain,
( ! [X0] :
( ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v4_group_1(k5_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(k3_autgroup(X0))
| ~ v3_group_1(k3_autgroup(X0))
| v3_struct_0(k3_autgroup(X0))
| ~ sP2(X0) )
| ~ spl30_61
| ~ spl30_254 ),
inference(resolution,[],[f1856,f666]) ).
fof(f1856,plain,
( ! [X0] :
( ~ l1_group_1(k3_autgroup(X0))
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v4_group_1(k5_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(k3_autgroup(X0))
| ~ v3_group_1(k3_autgroup(X0))
| v3_struct_0(k3_autgroup(X0)) )
| ~ spl30_254 ),
inference(avatar_component_clause,[],[f1855]) ).
fof(f2829,plain,
( spl30_401
| ~ spl30_134
| ~ spl30_235 ),
inference(avatar_split_clause,[],[f1746,f1740,f1109,f2827]) ).
fof(f2827,plain,
( spl30_401
<=> ! [X0,X1] :
( g1_group_1(X0,X1) != k3_autgroup(sK24)
| k1_autgroup(sK24) = X0
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_401])]) ).
fof(f1746,plain,
( ! [X0,X1] :
( g1_group_1(X0,X1) != k3_autgroup(sK24)
| k1_autgroup(sK24) = X0
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl30_134
| ~ spl30_235 ),
inference(superposition,[],[f1110,f1742]) ).
fof(f2825,plain,
( spl30_400
| ~ spl30_135
| ~ spl30_235 ),
inference(avatar_split_clause,[],[f1744,f1740,f1113,f2823]) ).
fof(f2823,plain,
( spl30_400
<=> ! [X0,X1] :
( g1_group_1(X0,X1) != k3_autgroup(sK24)
| k2_autgroup(sK24) = X1
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_400])]) ).
fof(f1744,plain,
( ! [X0,X1] :
( g1_group_1(X0,X1) != k3_autgroup(sK24)
| k2_autgroup(sK24) = X1
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl30_135
| ~ spl30_235 ),
inference(superposition,[],[f1114,f1742]) ).
fof(f2821,plain,
( spl30_399
| ~ spl30_123
| ~ spl30_234 ),
inference(avatar_split_clause,[],[f1735,f1723,f1036,f2819]) ).
fof(f2819,plain,
( spl30_399
<=> ! [X2,X0,X1] :
( ~ m1_group_2(X0,X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| m1_subset_1(sK10(u1_struct_0(X0)),u1_struct_0(X2))
| ~ m1_group_2(X1,X2)
| ~ l1_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_399])]) ).
fof(f1735,plain,
( ! [X2,X0,X1] :
( ~ m1_group_2(X0,X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| m1_subset_1(sK10(u1_struct_0(X0)),u1_struct_0(X2))
| ~ m1_group_2(X1,X2)
| ~ l1_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2) )
| ~ spl30_123
| ~ spl30_234 ),
inference(resolution,[],[f1724,f1037]) ).
fof(f2817,plain,
( spl30_398
| ~ spl30_123
| ~ spl30_219 ),
inference(avatar_split_clause,[],[f1636,f1617,f1036,f2815]) ).
fof(f2815,plain,
( spl30_398
<=> ! [X0,X3,X2,X1] :
( v1_xboole_0(X0)
| ~ m1_fraenkel(u1_struct_0(X1),X2,X0)
| m1_subset_1(sK16(X2,X0,u1_struct_0(X1)),u1_struct_0(X3))
| ~ m1_group_2(X1,X3)
| ~ l1_group_1(X3)
| ~ v3_group_1(X3)
| v3_struct_0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_398])]) ).
fof(f1636,plain,
( ! [X2,X3,X0,X1] :
( v1_xboole_0(X0)
| ~ m1_fraenkel(u1_struct_0(X1),X2,X0)
| m1_subset_1(sK16(X2,X0,u1_struct_0(X1)),u1_struct_0(X3))
| ~ m1_group_2(X1,X3)
| ~ l1_group_1(X3)
| ~ v3_group_1(X3)
| v3_struct_0(X3) )
| ~ spl30_123
| ~ spl30_219 ),
inference(resolution,[],[f1618,f1037]) ).
fof(f2813,plain,
( spl30_397
| ~ spl30_132
| ~ spl30_215 ),
inference(avatar_split_clause,[],[f1621,f1600,f1093,f2811]) ).
fof(f2811,plain,
( spl30_397
<=> ! [X0,X1] :
( ~ r2_hidden(X0,k2_autgroup(X1))
| m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(k1_autgroup(X1),k1_autgroup(X1)),k1_autgroup(X1)))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_397])]) ).
fof(f1093,plain,
( spl30_132
<=> ! [X0] :
( m2_relset_1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_132])]) ).
fof(f1600,plain,
( spl30_215
<=> ! [X0,X3,X2,X1] :
( m1_subset_1(X0,k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X0,X3)
| ~ m2_relset_1(X3,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_215])]) ).
fof(f1621,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,k2_autgroup(X1))
| m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(k1_autgroup(X1),k1_autgroup(X1)),k1_autgroup(X1)))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1) )
| ~ spl30_132
| ~ spl30_215 ),
inference(resolution,[],[f1601,f1094]) ).
fof(f1094,plain,
( ! [X0] :
( m2_relset_1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) )
| ~ spl30_132 ),
inference(avatar_component_clause,[],[f1093]) ).
fof(f1601,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X1,X2)
| ~ r2_hidden(X0,X3)
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl30_215 ),
inference(avatar_component_clause,[],[f1600]) ).
fof(f2791,plain,
( spl30_396
| spl30_379
| ~ spl30_90
| ~ spl30_278 ),
inference(avatar_split_clause,[],[f2608,f2022,f809,f2666,f2788]) ).
fof(f2666,plain,
( spl30_379
<=> v1_xboole_0(k1_autgroup(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_379])]) ).
fof(f2022,plain,
( spl30_278
<=> m1_subset_1(sK5,k1_autgroup(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_278])]) ).
fof(f2608,plain,
( v1_xboole_0(k1_autgroup(sK3))
| r2_hidden(sK5,k1_autgroup(sK3))
| ~ spl30_90
| ~ spl30_278 ),
inference(resolution,[],[f2024,f810]) ).
fof(f2024,plain,
( m1_subset_1(sK5,k1_autgroup(sK3))
| ~ spl30_278 ),
inference(avatar_component_clause,[],[f2022]) ).
fof(f2748,plain,
( spl30_395
| ~ spl30_125
| ~ spl30_223 ),
inference(avatar_split_clause,[],[f1689,f1650,f1044,f2746]) ).
fof(f2746,plain,
( spl30_395
<=> ! [X0,X1] :
( m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X1))
| v1_xboole_0(u1_struct_0(X1))
| ~ m1_subset_1(X0,k1_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_395])]) ).
fof(f1650,plain,
( spl30_223
<=> ! [X0,X3,X2,X1] :
( m2_relset_1(X0,X1,X2)
| ~ m1_fraenkel(X3,X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_223])]) ).
fof(f1689,plain,
( ! [X0,X1] :
( m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X1))
| v1_xboole_0(u1_struct_0(X1))
| ~ m1_subset_1(X0,k1_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1) )
| ~ spl30_125
| ~ spl30_223 ),
inference(resolution,[],[f1651,f1045]) ).
fof(f1651,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_fraenkel(X3,X1,X2)
| m2_relset_1(X0,X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X0,X3) )
| ~ spl30_223 ),
inference(avatar_component_clause,[],[f1650]) ).
fof(f2744,plain,
( spl30_394
| ~ spl30_124
| ~ spl30_223 ),
inference(avatar_split_clause,[],[f1687,f1650,f1040,f2742]) ).
fof(f2742,plain,
( spl30_394
<=> ! [X0,X1] :
( m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X1))
| v1_xboole_0(u1_struct_0(X1))
| ~ m1_subset_1(X0,k4_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_394])]) ).
fof(f1040,plain,
( spl30_124
<=> ! [X0] :
( m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_124])]) ).
fof(f1687,plain,
( ! [X0,X1] :
( m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X1))
| v1_xboole_0(u1_struct_0(X1))
| ~ m1_subset_1(X0,k4_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1) )
| ~ spl30_124
| ~ spl30_223 ),
inference(resolution,[],[f1651,f1041]) ).
fof(f1041,plain,
( ! [X0] :
( m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) )
| ~ spl30_124 ),
inference(avatar_component_clause,[],[f1040]) ).
fof(f2740,plain,
( spl30_393
| ~ spl30_125
| ~ spl30_221 ),
inference(avatar_split_clause,[],[f1681,f1642,f1044,f2738]) ).
fof(f2738,plain,
( spl30_393
<=> ! [X0,X1] :
( v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X1))
| v1_xboole_0(u1_struct_0(X1))
| ~ m1_subset_1(X0,k1_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_393])]) ).
fof(f1642,plain,
( spl30_221
<=> ! [X0,X3,X2,X1] :
( v1_funct_2(X0,X1,X2)
| ~ m1_fraenkel(X3,X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_221])]) ).
fof(f1681,plain,
( ! [X0,X1] :
( v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X1))
| v1_xboole_0(u1_struct_0(X1))
| ~ m1_subset_1(X0,k1_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1) )
| ~ spl30_125
| ~ spl30_221 ),
inference(resolution,[],[f1643,f1045]) ).
fof(f1643,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_fraenkel(X3,X1,X2)
| v1_funct_2(X0,X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X0,X3) )
| ~ spl30_221 ),
inference(avatar_component_clause,[],[f1642]) ).
fof(f2736,plain,
( spl30_392
| ~ spl30_124
| ~ spl30_221 ),
inference(avatar_split_clause,[],[f1679,f1642,f1040,f2734]) ).
fof(f2734,plain,
( spl30_392
<=> ! [X0,X1] :
( v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X1))
| v1_xboole_0(u1_struct_0(X1))
| ~ m1_subset_1(X0,k4_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_392])]) ).
fof(f1679,plain,
( ! [X0,X1] :
( v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X1))
| v1_xboole_0(u1_struct_0(X1))
| ~ m1_subset_1(X0,k4_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1) )
| ~ spl30_124
| ~ spl30_221 ),
inference(resolution,[],[f1643,f1041]) ).
fof(f2732,plain,
( spl30_391
| ~ spl30_108
| ~ spl30_211 ),
inference(avatar_split_clause,[],[f1590,f1560,f936,f2730]) ).
fof(f2730,plain,
( spl30_391
<=> ! [X0] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ sP1(X0)
| sP2(sK8(X0))
| ~ v4_group_1(sK8(X0))
| ~ v3_group_1(sK8(X0))
| ~ v1_group_1(sK8(X0))
| v3_struct_0(sK8(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_391])]) ).
fof(f936,plain,
( spl30_108
<=> ! [X0] :
( sP2(X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_108])]) ).
fof(f1590,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ sP1(X0)
| sP2(sK8(X0))
| ~ v4_group_1(sK8(X0))
| ~ v3_group_1(sK8(X0))
| ~ v1_group_1(sK8(X0))
| v3_struct_0(sK8(X0)) )
| ~ spl30_108
| ~ spl30_211 ),
inference(resolution,[],[f1561,f937]) ).
fof(f937,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| sP2(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) )
| ~ spl30_108 ),
inference(avatar_component_clause,[],[f936]) ).
fof(f2728,plain,
( spl30_390
| ~ spl30_108
| ~ spl30_210 ),
inference(avatar_split_clause,[],[f1584,f1550,f936,f2726]) ).
fof(f2726,plain,
( spl30_390
<=> ! [X0] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ sP0(X0)
| sP2(sK7(X0))
| ~ v4_group_1(sK7(X0))
| ~ v3_group_1(sK7(X0))
| ~ v1_group_1(sK7(X0))
| v3_struct_0(sK7(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_390])]) ).
fof(f1584,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ sP0(X0)
| sP2(sK7(X0))
| ~ v4_group_1(sK7(X0))
| ~ v3_group_1(sK7(X0))
| ~ v1_group_1(sK7(X0))
| v3_struct_0(sK7(X0)) )
| ~ spl30_108
| ~ spl30_210 ),
inference(resolution,[],[f1551,f937]) ).
fof(f2724,plain,
( spl30_389
| ~ spl30_132
| ~ spl30_208 ),
inference(avatar_split_clause,[],[f1576,f1542,f1093,f2722]) ).
fof(f2722,plain,
( spl30_389
<=> ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)))
| ~ r2_hidden(X1,k2_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_389])]) ).
fof(f1542,plain,
( spl30_208
<=> ! [X2,X0,X1,X3] :
( ~ m2_relset_1(X0,X1,X2)
| ~ v1_xboole_0(k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_208])]) ).
fof(f1576,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)))
| ~ r2_hidden(X1,k2_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) )
| ~ spl30_132
| ~ spl30_208 ),
inference(resolution,[],[f1543,f1094]) ).
fof(f1543,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| ~ v1_xboole_0(k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X3,X0) )
| ~ spl30_208 ),
inference(avatar_component_clause,[],[f1542]) ).
fof(f2720,plain,
( spl30_388
| ~ spl30_134
| ~ spl30_200 ),
inference(avatar_split_clause,[],[f1500,f1494,f1109,f2718]) ).
fof(f2718,plain,
( spl30_388
<=> ! [X0,X1] :
( g1_group_1(X0,X1) != sK25
| u1_struct_0(sK25) = X0
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_388])]) ).
fof(f1500,plain,
( ! [X0,X1] :
( g1_group_1(X0,X1) != sK25
| u1_struct_0(sK25) = X0
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl30_134
| ~ spl30_200 ),
inference(superposition,[],[f1110,f1496]) ).
fof(f2716,plain,
( spl30_387
| ~ spl30_135
| ~ spl30_200 ),
inference(avatar_split_clause,[],[f1498,f1494,f1113,f2714]) ).
fof(f2714,plain,
( spl30_387
<=> ! [X0,X1] :
( g1_group_1(X0,X1) != sK25
| u1_group_1(sK25) = X1
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_387])]) ).
fof(f1498,plain,
( ! [X0,X1] :
( g1_group_1(X0,X1) != sK25
| u1_group_1(sK25) = X1
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl30_135
| ~ spl30_200 ),
inference(superposition,[],[f1114,f1496]) ).
fof(f2712,plain,
( spl30_386
| ~ spl30_134
| ~ spl30_199 ),
inference(avatar_split_clause,[],[f1491,f1485,f1109,f2710]) ).
fof(f2710,plain,
( spl30_386
<=> ! [X0,X1] :
( g1_group_1(X0,X1) != sK24
| u1_struct_0(sK24) = X0
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_386])]) ).
fof(f1491,plain,
( ! [X0,X1] :
( g1_group_1(X0,X1) != sK24
| u1_struct_0(sK24) = X0
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl30_134
| ~ spl30_199 ),
inference(superposition,[],[f1110,f1487]) ).
fof(f2708,plain,
( spl30_385
| ~ spl30_135
| ~ spl30_199 ),
inference(avatar_split_clause,[],[f1489,f1485,f1113,f2706]) ).
fof(f2706,plain,
( spl30_385
<=> ! [X0,X1] :
( g1_group_1(X0,X1) != sK24
| u1_group_1(sK24) = X1
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_385])]) ).
fof(f1489,plain,
( ! [X0,X1] :
( g1_group_1(X0,X1) != sK24
| u1_group_1(sK24) = X1
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl30_135
| ~ spl30_199 ),
inference(superposition,[],[f1114,f1487]) ).
fof(f2704,plain,
( spl30_384
| ~ spl30_134
| ~ spl30_198 ),
inference(avatar_split_clause,[],[f1482,f1476,f1109,f2702]) ).
fof(f2702,plain,
( spl30_384
<=> ! [X0,X1] :
( g1_group_1(X0,X1) != sK23
| u1_struct_0(sK23) = X0
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_384])]) ).
fof(f1482,plain,
( ! [X0,X1] :
( g1_group_1(X0,X1) != sK23
| u1_struct_0(sK23) = X0
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl30_134
| ~ spl30_198 ),
inference(superposition,[],[f1110,f1478]) ).
fof(f2700,plain,
( spl30_383
| ~ spl30_135
| ~ spl30_198 ),
inference(avatar_split_clause,[],[f1480,f1476,f1113,f2698]) ).
fof(f2698,plain,
( spl30_383
<=> ! [X0,X1] :
( g1_group_1(X0,X1) != sK23
| u1_group_1(sK23) = X1
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_383])]) ).
fof(f1480,plain,
( ! [X0,X1] :
( g1_group_1(X0,X1) != sK23
| u1_group_1(sK23) = X1
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl30_135
| ~ spl30_198 ),
inference(superposition,[],[f1114,f1478]) ).
fof(f2687,plain,
( spl30_382
| ~ spl30_242
| ~ spl30_264 ),
inference(avatar_split_clause,[],[f1927,f1919,f1792,f2685]) ).
fof(f2685,plain,
( spl30_382
<=> ! [X0] :
( ~ v3_struct_0(g1_group_1(k1_autgroup(X0),k2_autgroup(X0)))
| ~ v1_funct_1(k2_autgroup(X0))
| v1_xboole_0(k1_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_382])]) ).
fof(f1919,plain,
( spl30_264
<=> ! [X0] :
( ~ m1_relset_1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v3_struct_0(g1_group_1(k1_autgroup(X0),k2_autgroup(X0)))
| ~ v1_funct_1(k2_autgroup(X0))
| v1_xboole_0(k1_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_264])]) ).
fof(f1927,plain,
( ! [X0] :
( ~ v3_struct_0(g1_group_1(k1_autgroup(X0),k2_autgroup(X0)))
| ~ v1_funct_1(k2_autgroup(X0))
| v1_xboole_0(k1_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) )
| ~ spl30_242
| ~ spl30_264 ),
inference(duplicate_literal_removal,[],[f1926]) ).
fof(f1926,plain,
( ! [X0] :
( ~ v3_struct_0(g1_group_1(k1_autgroup(X0),k2_autgroup(X0)))
| ~ v1_funct_1(k2_autgroup(X0))
| v1_xboole_0(k1_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0) )
| ~ spl30_242
| ~ spl30_264 ),
inference(resolution,[],[f1920,f1793]) ).
fof(f1920,plain,
( ! [X0] :
( ~ m1_relset_1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v3_struct_0(g1_group_1(k1_autgroup(X0),k2_autgroup(X0)))
| ~ v1_funct_1(k2_autgroup(X0))
| v1_xboole_0(k1_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) )
| ~ spl30_264 ),
inference(avatar_component_clause,[],[f1919]) ).
fof(f2683,plain,
( spl30_381
| ~ spl30_234
| ~ spl30_260 ),
inference(avatar_split_clause,[],[f1901,f1894,f1723,f2681]) ).
fof(f2681,plain,
( spl30_381
<=> ! [X0,X1] :
( ~ m1_group_2(X0,X1)
| k3_group_1(X0,sK10(u1_struct_0(X0))) = k3_group_1(X1,sK10(u1_struct_0(X0)))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_381])]) ).
fof(f1894,plain,
( spl30_260
<=> ! [X0,X1] :
( k3_group_1(X0,sK10(u1_struct_0(X0))) = k3_group_1(X1,sK10(u1_struct_0(X0)))
| ~ m1_group_2(X0,X1)
| ~ m1_subset_1(sK10(u1_struct_0(X0)),u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_260])]) ).
fof(f1901,plain,
( ! [X0,X1] :
( ~ m1_group_2(X0,X1)
| k3_group_1(X0,sK10(u1_struct_0(X0))) = k3_group_1(X1,sK10(u1_struct_0(X0)))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1) )
| ~ spl30_234
| ~ spl30_260 ),
inference(duplicate_literal_removal,[],[f1899]) ).
fof(f1899,plain,
( ! [X0,X1] :
( ~ m1_group_2(X0,X1)
| k3_group_1(X0,sK10(u1_struct_0(X0))) = k3_group_1(X1,sK10(u1_struct_0(X0)))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ m1_group_2(X0,X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1) )
| ~ spl30_234
| ~ spl30_260 ),
inference(resolution,[],[f1895,f1724]) ).
fof(f1895,plain,
( ! [X0,X1] :
( ~ m1_subset_1(sK10(u1_struct_0(X0)),u1_struct_0(X1))
| ~ m1_group_2(X0,X1)
| k3_group_1(X0,sK10(u1_struct_0(X0))) = k3_group_1(X1,sK10(u1_struct_0(X0)))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1) )
| ~ spl30_260 ),
inference(avatar_component_clause,[],[f1894]) ).
fof(f2679,plain,
( spl30_380
| ~ spl30_60
| ~ spl30_255 ),
inference(avatar_split_clause,[],[f1864,f1859,f661,f2677]) ).
fof(f2677,plain,
( spl30_380
<=> ! [X0] :
( k3_autgroup(k3_autgroup(X0)) = g1_group_1(k1_autgroup(k3_autgroup(X0)),k2_autgroup(k3_autgroup(X0)))
| ~ v3_group_1(k3_autgroup(X0))
| ~ v1_group_1(k3_autgroup(X0))
| v3_struct_0(k3_autgroup(X0))
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_380])]) ).
fof(f1859,plain,
( spl30_255
<=> ! [X0] :
( k3_autgroup(k3_autgroup(X0)) = g1_group_1(k1_autgroup(k3_autgroup(X0)),k2_autgroup(k3_autgroup(X0)))
| ~ v4_group_1(k3_autgroup(X0))
| ~ v3_group_1(k3_autgroup(X0))
| ~ v1_group_1(k3_autgroup(X0))
| v3_struct_0(k3_autgroup(X0))
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_255])]) ).
fof(f1864,plain,
( ! [X0] :
( k3_autgroup(k3_autgroup(X0)) = g1_group_1(k1_autgroup(k3_autgroup(X0)),k2_autgroup(k3_autgroup(X0)))
| ~ v3_group_1(k3_autgroup(X0))
| ~ v1_group_1(k3_autgroup(X0))
| v3_struct_0(k3_autgroup(X0))
| ~ sP2(X0) )
| ~ spl30_60
| ~ spl30_255 ),
inference(duplicate_literal_removal,[],[f1863]) ).
fof(f1863,plain,
( ! [X0] :
( k3_autgroup(k3_autgroup(X0)) = g1_group_1(k1_autgroup(k3_autgroup(X0)),k2_autgroup(k3_autgroup(X0)))
| ~ v3_group_1(k3_autgroup(X0))
| ~ v1_group_1(k3_autgroup(X0))
| v3_struct_0(k3_autgroup(X0))
| ~ sP2(X0)
| ~ sP2(X0) )
| ~ spl30_60
| ~ spl30_255 ),
inference(resolution,[],[f1860,f662]) ).
fof(f1860,plain,
( ! [X0] :
( ~ v4_group_1(k3_autgroup(X0))
| k3_autgroup(k3_autgroup(X0)) = g1_group_1(k1_autgroup(k3_autgroup(X0)),k2_autgroup(k3_autgroup(X0)))
| ~ v3_group_1(k3_autgroup(X0))
| ~ v1_group_1(k3_autgroup(X0))
| v3_struct_0(k3_autgroup(X0))
| ~ sP2(X0) )
| ~ spl30_255 ),
inference(avatar_component_clause,[],[f1859]) ).
fof(f2669,plain,
( ~ spl30_379
| ~ spl30_76
| ~ spl30_277 ),
inference(avatar_split_clause,[],[f2615,f2018,f735,f2666]) ).
fof(f735,plain,
( spl30_76
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(X2)
| ~ m1_fraenkel(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_76])]) ).
fof(f2615,plain,
( ~ v1_xboole_0(k1_autgroup(sK3))
| ~ spl30_76
| ~ spl30_277 ),
inference(resolution,[],[f2019,f736]) ).
fof(f736,plain,
( ! [X2,X0,X1] :
( ~ m1_fraenkel(X2,X0,X1)
| ~ v1_xboole_0(X2) )
| ~ spl30_76 ),
inference(avatar_component_clause,[],[f735]) ).
fof(f2658,plain,
( spl30_378
| ~ spl30_61
| ~ spl30_248 ),
inference(avatar_split_clause,[],[f1829,f1824,f665,f2656]) ).
fof(f2656,plain,
( spl30_378
<=> ! [X0] :
( ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ v3_struct_0(k5_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(k3_autgroup(X0))
| v3_struct_0(k3_autgroup(X0))
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_378])]) ).
fof(f1824,plain,
( spl30_248
<=> ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ v3_struct_0(k5_autgroup(X0))
| ~ l1_group_1(k3_autgroup(X0))
| ~ v3_group_1(k3_autgroup(X0))
| v3_struct_0(k3_autgroup(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_248])]) ).
fof(f1829,plain,
( ! [X0] :
( ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ v3_struct_0(k5_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(k3_autgroup(X0))
| v3_struct_0(k3_autgroup(X0))
| ~ sP2(X0) )
| ~ spl30_61
| ~ spl30_248 ),
inference(resolution,[],[f1825,f666]) ).
fof(f1825,plain,
( ! [X0] :
( ~ l1_group_1(k3_autgroup(X0))
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ v3_struct_0(k5_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(k3_autgroup(X0))
| v3_struct_0(k3_autgroup(X0)) )
| ~ spl30_248 ),
inference(avatar_component_clause,[],[f1824]) ).
fof(f2654,plain,
( spl30_377
| ~ spl30_61
| ~ spl30_247 ),
inference(avatar_split_clause,[],[f1828,f1820,f665,f2652]) ).
fof(f2652,plain,
( spl30_377
<=> ! [X0] :
( ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v3_group_1(k5_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(k3_autgroup(X0))
| v3_struct_0(k3_autgroup(X0))
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_377])]) ).
fof(f1820,plain,
( spl30_247
<=> ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v3_group_1(k5_autgroup(X0))
| ~ l1_group_1(k3_autgroup(X0))
| ~ v3_group_1(k3_autgroup(X0))
| v3_struct_0(k3_autgroup(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_247])]) ).
fof(f1828,plain,
( ! [X0] :
( ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v3_group_1(k5_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(k3_autgroup(X0))
| v3_struct_0(k3_autgroup(X0))
| ~ sP2(X0) )
| ~ spl30_61
| ~ spl30_247 ),
inference(resolution,[],[f1821,f666]) ).
fof(f1821,plain,
( ! [X0] :
( ~ l1_group_1(k3_autgroup(X0))
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v3_group_1(k5_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(k3_autgroup(X0))
| v3_struct_0(k3_autgroup(X0)) )
| ~ spl30_247 ),
inference(avatar_component_clause,[],[f1820]) ).
fof(f2650,plain,
( spl30_376
| ~ spl30_61
| ~ spl30_246 ),
inference(avatar_split_clause,[],[f1827,f1816,f665,f2648]) ).
fof(f2648,plain,
( spl30_376
<=> ! [X0] :
( ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| l1_group_1(k5_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(k3_autgroup(X0))
| v3_struct_0(k3_autgroup(X0))
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_376])]) ).
fof(f1816,plain,
( spl30_246
<=> ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| l1_group_1(k5_autgroup(X0))
| ~ l1_group_1(k3_autgroup(X0))
| ~ v3_group_1(k3_autgroup(X0))
| v3_struct_0(k3_autgroup(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_246])]) ).
fof(f1827,plain,
( ! [X0] :
( ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| l1_group_1(k5_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(k3_autgroup(X0))
| v3_struct_0(k3_autgroup(X0))
| ~ sP2(X0) )
| ~ spl30_61
| ~ spl30_246 ),
inference(resolution,[],[f1817,f666]) ).
fof(f1817,plain,
( ! [X0] :
( ~ l1_group_1(k3_autgroup(X0))
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| l1_group_1(k5_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(k3_autgroup(X0))
| v3_struct_0(k3_autgroup(X0)) )
| ~ spl30_246 ),
inference(avatar_component_clause,[],[f1816]) ).
fof(f2646,plain,
( spl30_375
| ~ spl30_67
| ~ spl30_243 ),
inference(avatar_split_clause,[],[f1809,f1797,f698,f2644]) ).
fof(f2644,plain,
( spl30_375
<=> ! [X0,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r2_hidden(u1_struct_0(X0),k3_group_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_375])]) ).
fof(f1797,plain,
( spl30_243
<=> ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| v1_xboole_0(u1_struct_0(X1))
| r2_hidden(k3_group_1(X1,X0),u1_struct_0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_243])]) ).
fof(f1809,plain,
( ! [X0,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r2_hidden(u1_struct_0(X0),k3_group_1(X0,X1)) )
| ~ spl30_67
| ~ spl30_243 ),
inference(resolution,[],[f1798,f699]) ).
fof(f1798,plain,
( ! [X0,X1] :
( r2_hidden(k3_group_1(X1,X0),u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| v1_xboole_0(u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) )
| ~ spl30_243 ),
inference(avatar_component_clause,[],[f1797]) ).
fof(f2642,plain,
( spl30_374
| ~ spl30_77
| ~ spl30_277 ),
inference(avatar_split_clause,[],[f2614,f2018,f739,f2639]) ).
fof(f2639,plain,
( spl30_374
<=> v1_fraenkel(k1_autgroup(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_374])]) ).
fof(f739,plain,
( spl30_77
<=> ! [X2,X0,X1] :
( v1_fraenkel(X2)
| ~ m1_fraenkel(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_77])]) ).
fof(f2614,plain,
( v1_fraenkel(k1_autgroup(sK3))
| ~ spl30_77
| ~ spl30_277 ),
inference(resolution,[],[f2019,f740]) ).
fof(f740,plain,
( ! [X2,X0,X1] :
( ~ m1_fraenkel(X2,X0,X1)
| v1_fraenkel(X2) )
| ~ spl30_77 ),
inference(avatar_component_clause,[],[f739]) ).
fof(f2637,plain,
( spl30_373
| ~ spl30_128
| ~ spl30_241 ),
inference(avatar_split_clause,[],[f1790,f1774,f1063,f2635]) ).
fof(f2635,plain,
( spl30_373
<=> ! [X0,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| v1_relat_1(k3_group_1(X0,k3_group_1(X0,X1)))
| ~ v1_fraenkel(u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_373])]) ).
fof(f1063,plain,
( spl30_128
<=> ! [X0,X1] :
( m1_subset_1(k3_group_1(X0,X1),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_128])]) ).
fof(f1790,plain,
( ! [X0,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| v1_relat_1(k3_group_1(X0,k3_group_1(X0,X1)))
| ~ v1_fraenkel(u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ spl30_128
| ~ spl30_241 ),
inference(duplicate_literal_removal,[],[f1784]) ).
fof(f1784,plain,
( ! [X0,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| v1_relat_1(k3_group_1(X0,k3_group_1(X0,X1)))
| ~ v1_fraenkel(u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl30_128
| ~ spl30_241 ),
inference(resolution,[],[f1775,f1064]) ).
fof(f1064,plain,
( ! [X0,X1] :
( m1_subset_1(k3_group_1(X0,X1),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl30_128 ),
inference(avatar_component_clause,[],[f1063]) ).
fof(f2633,plain,
( spl30_372
| ~ spl30_128
| ~ spl30_240 ),
inference(avatar_split_clause,[],[f1783,f1770,f1063,f2631]) ).
fof(f2631,plain,
( spl30_372
<=> ! [X0,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| v1_funct_1(k3_group_1(X0,k3_group_1(X0,X1)))
| ~ v1_fraenkel(u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_372])]) ).
fof(f1783,plain,
( ! [X0,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| v1_funct_1(k3_group_1(X0,k3_group_1(X0,X1)))
| ~ v1_fraenkel(u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ spl30_128
| ~ spl30_240 ),
inference(duplicate_literal_removal,[],[f1777]) ).
fof(f1777,plain,
( ! [X0,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| v1_funct_1(k3_group_1(X0,k3_group_1(X0,X1)))
| ~ v1_fraenkel(u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl30_128
| ~ spl30_240 ),
inference(resolution,[],[f1771,f1064]) ).
fof(f2629,plain,
( spl30_371
| ~ spl30_101
| ~ spl30_211 ),
inference(avatar_split_clause,[],[f1591,f1560,f889,f2627]) ).
fof(f2627,plain,
( spl30_371
<=> ! [X0] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ sP1(X0)
| ~ v1_group_1(sK8(X0))
| sK8(X0) = g1_group_1(u1_struct_0(sK8(X0)),u1_group_1(sK8(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_371])]) ).
fof(f889,plain,
( spl30_101
<=> ! [X0] :
( g1_group_1(u1_struct_0(X0),u1_group_1(X0)) = X0
| ~ v1_group_1(X0)
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_101])]) ).
fof(f1591,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ sP1(X0)
| ~ v1_group_1(sK8(X0))
| sK8(X0) = g1_group_1(u1_struct_0(sK8(X0)),u1_group_1(sK8(X0))) )
| ~ spl30_101
| ~ spl30_211 ),
inference(resolution,[],[f1561,f890]) ).
fof(f890,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v1_group_1(X0)
| g1_group_1(u1_struct_0(X0),u1_group_1(X0)) = X0 )
| ~ spl30_101 ),
inference(avatar_component_clause,[],[f889]) ).
fof(f2625,plain,
( spl30_370
| ~ spl30_101
| ~ spl30_210 ),
inference(avatar_split_clause,[],[f1585,f1550,f889,f2623]) ).
fof(f2623,plain,
( spl30_370
<=> ! [X0] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ sP0(X0)
| ~ v1_group_1(sK7(X0))
| sK7(X0) = g1_group_1(u1_struct_0(sK7(X0)),u1_group_1(sK7(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_370])]) ).
fof(f1585,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ sP0(X0)
| ~ v1_group_1(sK7(X0))
| sK7(X0) = g1_group_1(u1_struct_0(sK7(X0)),u1_group_1(sK7(X0))) )
| ~ spl30_101
| ~ spl30_210 ),
inference(resolution,[],[f1551,f890]) ).
fof(f2621,plain,
( spl30_369
| ~ spl30_108
| ~ spl30_203 ),
inference(avatar_split_clause,[],[f1516,f1511,f936,f2619]) ).
fof(f2619,plain,
( spl30_369
<=> ! [X0] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| sP2(sK9(X0))
| ~ v4_group_1(sK9(X0))
| ~ v3_group_1(sK9(X0))
| ~ v1_group_1(sK9(X0))
| v3_struct_0(sK9(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_369])]) ).
fof(f1516,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| sP2(sK9(X0))
| ~ v4_group_1(sK9(X0))
| ~ v3_group_1(sK9(X0))
| ~ v1_group_1(sK9(X0))
| v3_struct_0(sK9(X0)) )
| ~ spl30_108
| ~ spl30_203 ),
inference(resolution,[],[f1512,f937]) ).
fof(f2606,plain,
( spl30_1
| ~ spl30_2
| ~ spl30_3
| ~ spl30_4
| ~ spl30_5
| ~ spl30_125
| spl30_277 ),
inference(avatar_split_clause,[],[f2026,f2018,f1044,f398,f393,f388,f383,f378]) ).
fof(f2026,plain,
( ~ l1_group_1(sK3)
| ~ v4_group_1(sK3)
| ~ v3_group_1(sK3)
| ~ v1_group_1(sK3)
| v3_struct_0(sK3)
| ~ spl30_125
| spl30_277 ),
inference(resolution,[],[f2020,f1045]) ).
fof(f2020,plain,
( ~ m1_fraenkel(k1_autgroup(sK3),u1_struct_0(sK3),u1_struct_0(sK3))
| spl30_277 ),
inference(avatar_component_clause,[],[f2018]) ).
fof(f2599,plain,
( spl30_368
| ~ spl30_234
| ~ spl30_241 ),
inference(avatar_split_clause,[],[f1789,f1774,f1723,f2597]) ).
fof(f2597,plain,
( spl30_368
<=> ! [X0,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| v1_relat_1(k3_group_1(X0,sK10(u1_struct_0(X1))))
| ~ v1_fraenkel(u1_struct_0(X0))
| ~ m1_group_2(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_368])]) ).
fof(f1789,plain,
( ! [X0,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| v1_relat_1(k3_group_1(X0,sK10(u1_struct_0(X1))))
| ~ v1_fraenkel(u1_struct_0(X0))
| ~ m1_group_2(X1,X0) )
| ~ spl30_234
| ~ spl30_241 ),
inference(duplicate_literal_removal,[],[f1786]) ).
fof(f1786,plain,
( ! [X0,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| v1_relat_1(k3_group_1(X0,sK10(u1_struct_0(X1))))
| ~ v1_fraenkel(u1_struct_0(X0))
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl30_234
| ~ spl30_241 ),
inference(resolution,[],[f1775,f1724]) ).
fof(f2595,plain,
( spl30_367
| ~ spl30_234
| ~ spl30_240 ),
inference(avatar_split_clause,[],[f1782,f1770,f1723,f2593]) ).
fof(f2593,plain,
( spl30_367
<=> ! [X0,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| v1_funct_1(k3_group_1(X0,sK10(u1_struct_0(X1))))
| ~ v1_fraenkel(u1_struct_0(X0))
| ~ m1_group_2(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_367])]) ).
fof(f1782,plain,
( ! [X0,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| v1_funct_1(k3_group_1(X0,sK10(u1_struct_0(X1))))
| ~ v1_fraenkel(u1_struct_0(X0))
| ~ m1_group_2(X1,X0) )
| ~ spl30_234
| ~ spl30_240 ),
inference(duplicate_literal_removal,[],[f1779]) ).
fof(f1779,plain,
( ! [X0,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| v1_funct_1(k3_group_1(X0,sK10(u1_struct_0(X1))))
| ~ v1_fraenkel(u1_struct_0(X0))
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl30_234
| ~ spl30_240 ),
inference(resolution,[],[f1771,f1724]) ).
fof(f2591,plain,
( spl30_366
| ~ spl30_96
| ~ spl30_211 ),
inference(avatar_split_clause,[],[f1593,f1560,f844,f2589]) ).
fof(f2589,plain,
( spl30_366
<=> ! [X0] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ sP1(X0)
| sP0(sK8(X0))
| ~ v4_group_1(sK8(X0))
| ~ v3_group_1(sK8(X0))
| v3_struct_0(sK8(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_366])]) ).
fof(f844,plain,
( spl30_96
<=> ! [X0] :
( sP0(X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_96])]) ).
fof(f1593,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ sP1(X0)
| sP0(sK8(X0))
| ~ v4_group_1(sK8(X0))
| ~ v3_group_1(sK8(X0))
| v3_struct_0(sK8(X0)) )
| ~ spl30_96
| ~ spl30_211 ),
inference(resolution,[],[f1561,f845]) ).
fof(f845,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| sP0(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl30_96 ),
inference(avatar_component_clause,[],[f844]) ).
fof(f2587,plain,
( spl30_365
| ~ spl30_97
| ~ spl30_211 ),
inference(avatar_split_clause,[],[f1592,f1560,f848,f2585]) ).
fof(f2585,plain,
( spl30_365
<=> ! [X0] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ sP1(X0)
| sP1(sK8(X0))
| ~ v4_group_1(sK8(X0))
| ~ v3_group_1(sK8(X0))
| v3_struct_0(sK8(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_365])]) ).
fof(f848,plain,
( spl30_97
<=> ! [X0] :
( sP1(X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_97])]) ).
fof(f1592,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ sP1(X0)
| sP1(sK8(X0))
| ~ v4_group_1(sK8(X0))
| ~ v3_group_1(sK8(X0))
| v3_struct_0(sK8(X0)) )
| ~ spl30_97
| ~ spl30_211 ),
inference(resolution,[],[f1561,f849]) ).
fof(f849,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| sP1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl30_97 ),
inference(avatar_component_clause,[],[f848]) ).
fof(f2583,plain,
( spl30_364
| ~ spl30_96
| ~ spl30_210 ),
inference(avatar_split_clause,[],[f1587,f1550,f844,f2581]) ).
fof(f2581,plain,
( spl30_364
<=> ! [X0] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ sP0(X0)
| sP0(sK7(X0))
| ~ v4_group_1(sK7(X0))
| ~ v3_group_1(sK7(X0))
| v3_struct_0(sK7(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_364])]) ).
fof(f1587,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ sP0(X0)
| sP0(sK7(X0))
| ~ v4_group_1(sK7(X0))
| ~ v3_group_1(sK7(X0))
| v3_struct_0(sK7(X0)) )
| ~ spl30_96
| ~ spl30_210 ),
inference(resolution,[],[f1551,f845]) ).
fof(f2579,plain,
( spl30_363
| ~ spl30_97
| ~ spl30_210 ),
inference(avatar_split_clause,[],[f1586,f1550,f848,f2577]) ).
fof(f2577,plain,
( spl30_363
<=> ! [X0] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ sP0(X0)
| sP1(sK7(X0))
| ~ v4_group_1(sK7(X0))
| ~ v3_group_1(sK7(X0))
| v3_struct_0(sK7(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_363])]) ).
fof(f1586,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ sP0(X0)
| sP1(sK7(X0))
| ~ v4_group_1(sK7(X0))
| ~ v3_group_1(sK7(X0))
| v3_struct_0(sK7(X0)) )
| ~ spl30_97
| ~ spl30_210 ),
inference(resolution,[],[f1551,f849]) ).
fof(f2574,plain,
( ~ spl30_5
| spl30_1
| ~ spl30_2
| ~ spl30_3
| ~ spl30_4
| ~ spl30_242
| spl30_299 ),
inference(avatar_split_clause,[],[f2155,f2146,f1792,f393,f388,f383,f378,f398]) ).
fof(f2155,plain,
( ~ v4_group_1(sK3)
| ~ v3_group_1(sK3)
| ~ v1_group_1(sK3)
| v3_struct_0(sK3)
| ~ l1_group_1(sK3)
| ~ spl30_242
| spl30_299 ),
inference(resolution,[],[f2148,f1793]) ).
fof(f2148,plain,
( ~ m1_relset_1(k2_autgroup(sK3),k2_zfmisc_1(k1_autgroup(sK3),k1_autgroup(sK3)),k1_autgroup(sK3))
| spl30_299 ),
inference(avatar_component_clause,[],[f2146]) ).
fof(f2556,plain,
( spl30_362
| ~ spl30_242
| ~ spl30_263 ),
inference(avatar_split_clause,[],[f1917,f1911,f1792,f2554]) ).
fof(f2554,plain,
( spl30_362
<=> ! [X0] :
( ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| v1_group_1(g1_group_1(k1_autgroup(X0),k2_autgroup(X0)))
| ~ v1_funct_1(k2_autgroup(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_362])]) ).
fof(f1911,plain,
( spl30_263
<=> ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ m1_relset_1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| v1_group_1(g1_group_1(k1_autgroup(X0),k2_autgroup(X0)))
| ~ v1_funct_1(k2_autgroup(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_263])]) ).
fof(f1917,plain,
( ! [X0] :
( ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| v1_group_1(g1_group_1(k1_autgroup(X0),k2_autgroup(X0)))
| ~ v1_funct_1(k2_autgroup(X0)) )
| ~ spl30_242
| ~ spl30_263 ),
inference(duplicate_literal_removal,[],[f1916]) ).
fof(f1916,plain,
( ! [X0] :
( ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| v1_group_1(g1_group_1(k1_autgroup(X0),k2_autgroup(X0)))
| ~ v1_funct_1(k2_autgroup(X0))
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0) )
| ~ spl30_242
| ~ spl30_263 ),
inference(resolution,[],[f1912,f1793]) ).
fof(f1912,plain,
( ! [X0] :
( ~ m1_relset_1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| v1_group_1(g1_group_1(k1_autgroup(X0),k2_autgroup(X0)))
| ~ v1_funct_1(k2_autgroup(X0)) )
| ~ spl30_263 ),
inference(avatar_component_clause,[],[f1911]) ).
fof(f2552,plain,
( spl30_361
| ~ spl30_242
| ~ spl30_261 ),
inference(avatar_split_clause,[],[f1915,f1903,f1792,f2550]) ).
fof(f2550,plain,
( spl30_361
<=> ! [X0] :
( ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| l1_group_1(g1_group_1(k1_autgroup(X0),k2_autgroup(X0)))
| ~ v1_funct_1(k2_autgroup(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_361])]) ).
fof(f1903,plain,
( spl30_261
<=> ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ m1_relset_1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| l1_group_1(g1_group_1(k1_autgroup(X0),k2_autgroup(X0)))
| ~ v1_funct_1(k2_autgroup(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_261])]) ).
fof(f1915,plain,
( ! [X0] :
( ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| l1_group_1(g1_group_1(k1_autgroup(X0),k2_autgroup(X0)))
| ~ v1_funct_1(k2_autgroup(X0)) )
| ~ spl30_242
| ~ spl30_261 ),
inference(duplicate_literal_removal,[],[f1914]) ).
fof(f1914,plain,
( ! [X0] :
( ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| l1_group_1(g1_group_1(k1_autgroup(X0),k2_autgroup(X0)))
| ~ v1_funct_1(k2_autgroup(X0))
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0) )
| ~ spl30_242
| ~ spl30_261 ),
inference(resolution,[],[f1904,f1793]) ).
fof(f1904,plain,
( ! [X0] :
( ~ m1_relset_1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| l1_group_1(g1_group_1(k1_autgroup(X0),k2_autgroup(X0)))
| ~ v1_funct_1(k2_autgroup(X0)) )
| ~ spl30_261 ),
inference(avatar_component_clause,[],[f1903]) ).
fof(f2548,plain,
( spl30_360
| ~ spl30_125
| ~ spl30_213 ),
inference(avatar_split_clause,[],[f1598,f1568,f1044,f2546]) ).
fof(f2546,plain,
( spl30_360
<=> ! [X0,X1] :
( ~ m1_subset_1(X0,k1_autgroup(X1))
| v1_xboole_0(u1_struct_0(X1))
| v1_funct_1(X0)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_360])]) ).
fof(f1598,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,k1_autgroup(X1))
| v1_xboole_0(u1_struct_0(X1))
| v1_funct_1(X0)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1) )
| ~ spl30_125
| ~ spl30_213 ),
inference(resolution,[],[f1569,f1045]) ).
fof(f2544,plain,
( spl30_359
| ~ spl30_124
| ~ spl30_213 ),
inference(avatar_split_clause,[],[f1596,f1568,f1040,f2542]) ).
fof(f2542,plain,
( spl30_359
<=> ! [X0,X1] :
( ~ m1_subset_1(X0,k4_autgroup(X1))
| v1_xboole_0(u1_struct_0(X1))
| v1_funct_1(X0)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_359])]) ).
fof(f1596,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,k4_autgroup(X1))
| v1_xboole_0(u1_struct_0(X1))
| v1_funct_1(X0)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1) )
| ~ spl30_124
| ~ spl30_213 ),
inference(resolution,[],[f1569,f1041]) ).
fof(f2540,plain,
( spl30_358
| ~ spl30_101
| ~ spl30_203 ),
inference(avatar_split_clause,[],[f1517,f1511,f889,f2538]) ).
fof(f2538,plain,
( spl30_358
<=> ! [X0] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ v1_group_1(sK9(X0))
| sK9(X0) = g1_group_1(u1_struct_0(sK9(X0)),u1_group_1(sK9(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_358])]) ).
fof(f1517,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ v1_group_1(sK9(X0))
| sK9(X0) = g1_group_1(u1_struct_0(sK9(X0)),u1_group_1(sK9(X0))) )
| ~ spl30_101
| ~ spl30_203 ),
inference(resolution,[],[f1512,f890]) ).
fof(f2536,plain,
( spl30_357
| ~ spl30_92
| ~ spl30_276 ),
inference(avatar_split_clause,[],[f2016,f2010,f817,f2534]) ).
fof(f2534,plain,
( spl30_357
<=> ! [X0] :
( ~ m1_subset_1(X0,k4_autgroup(sK3))
| m1_relset_1(X0,u1_struct_0(sK3),u1_struct_0(sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_357])]) ).
fof(f817,plain,
( spl30_92
<=> ! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_92])]) ).
fof(f2010,plain,
( spl30_276
<=> ! [X0] :
( m2_relset_1(X0,u1_struct_0(sK3),u1_struct_0(sK3))
| ~ m1_subset_1(X0,k4_autgroup(sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_276])]) ).
fof(f2016,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k4_autgroup(sK3))
| m1_relset_1(X0,u1_struct_0(sK3),u1_struct_0(sK3)) )
| ~ spl30_92
| ~ spl30_276 ),
inference(resolution,[],[f2011,f818]) ).
fof(f818,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) )
| ~ spl30_92 ),
inference(avatar_component_clause,[],[f817]) ).
fof(f2011,plain,
( ! [X0] :
( m2_relset_1(X0,u1_struct_0(sK3),u1_struct_0(sK3))
| ~ m1_subset_1(X0,k4_autgroup(sK3)) )
| ~ spl30_276 ),
inference(avatar_component_clause,[],[f2010]) ).
fof(f2523,plain,
( spl30_356
| ~ spl30_217
| ~ spl30_259 ),
inference(avatar_split_clause,[],[f1898,f1890,f1608,f2521]) ).
fof(f2521,plain,
( spl30_356
<=> ! [X0] :
( ~ v1_funct_1(u1_group_1(X0))
| v1_partfun1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_356])]) ).
fof(f1890,plain,
( spl30_259
<=> ! [X0] :
( v1_partfun1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(u1_group_1(X0))
| ~ m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_259])]) ).
fof(f1898,plain,
( ! [X0] :
( ~ v1_funct_1(u1_group_1(X0))
| v1_partfun1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_group_1(X0) )
| ~ spl30_217
| ~ spl30_259 ),
inference(duplicate_literal_removal,[],[f1897]) ).
fof(f1897,plain,
( ! [X0] :
( ~ v1_funct_1(u1_group_1(X0))
| v1_partfun1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ l1_group_1(X0) )
| ~ spl30_217
| ~ spl30_259 ),
inference(resolution,[],[f1891,f1609]) ).
fof(f1891,plain,
( ! [X0] :
( ~ m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(u1_group_1(X0))
| v1_partfun1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_group_1(X0) )
| ~ spl30_259 ),
inference(avatar_component_clause,[],[f1890]) ).
fof(f2519,plain,
( spl30_355
| ~ spl30_90
| ~ spl30_234 ),
inference(avatar_split_clause,[],[f1736,f1723,f809,f2517]) ).
fof(f2517,plain,
( spl30_355
<=> ! [X0,X1] :
( ~ m1_group_2(X0,X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| v1_xboole_0(u1_struct_0(X1))
| r2_hidden(sK10(u1_struct_0(X0)),u1_struct_0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_355])]) ).
fof(f1736,plain,
( ! [X0,X1] :
( ~ m1_group_2(X0,X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| v1_xboole_0(u1_struct_0(X1))
| r2_hidden(sK10(u1_struct_0(X0)),u1_struct_0(X1)) )
| ~ spl30_90
| ~ spl30_234 ),
inference(resolution,[],[f1724,f810]) ).
fof(f2515,plain,
( spl30_354
| ~ spl30_96
| ~ spl30_203 ),
inference(avatar_split_clause,[],[f1519,f1511,f844,f2513]) ).
fof(f2513,plain,
( spl30_354
<=> ! [X0] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| sP0(sK9(X0))
| ~ v4_group_1(sK9(X0))
| ~ v3_group_1(sK9(X0))
| v3_struct_0(sK9(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_354])]) ).
fof(f1519,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| sP0(sK9(X0))
| ~ v4_group_1(sK9(X0))
| ~ v3_group_1(sK9(X0))
| v3_struct_0(sK9(X0)) )
| ~ spl30_96
| ~ spl30_203 ),
inference(resolution,[],[f1512,f845]) ).
fof(f2511,plain,
( spl30_353
| ~ spl30_97
| ~ spl30_203 ),
inference(avatar_split_clause,[],[f1518,f1511,f848,f2509]) ).
fof(f2509,plain,
( spl30_353
<=> ! [X0] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| sP1(sK9(X0))
| ~ v4_group_1(sK9(X0))
| ~ v3_group_1(sK9(X0))
| v3_struct_0(sK9(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_353])]) ).
fof(f1518,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| sP1(sK9(X0))
| ~ v4_group_1(sK9(X0))
| ~ v3_group_1(sK9(X0))
| v3_struct_0(sK9(X0)) )
| ~ spl30_97
| ~ spl30_203 ),
inference(resolution,[],[f1512,f849]) ).
fof(f2497,plain,
( spl30_352
| ~ spl30_217
| ~ spl30_257 ),
inference(avatar_split_clause,[],[f1879,f1871,f1608,f2495]) ).
fof(f2495,plain,
( spl30_352
<=> ! [X0] :
( ~ v1_funct_1(u1_group_1(X0))
| ~ v1_xboole_0(u1_group_1(X0))
| v1_xboole_0(u1_struct_0(X0))
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)))
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_352])]) ).
fof(f1871,plain,
( spl30_257
<=> ! [X0] :
( ~ v1_xboole_0(u1_group_1(X0))
| ~ v1_funct_1(u1_group_1(X0))
| ~ m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)))
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_257])]) ).
fof(f1879,plain,
( ! [X0] :
( ~ v1_funct_1(u1_group_1(X0))
| ~ v1_xboole_0(u1_group_1(X0))
| v1_xboole_0(u1_struct_0(X0))
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)))
| ~ l1_group_1(X0) )
| ~ spl30_217
| ~ spl30_257 ),
inference(duplicate_literal_removal,[],[f1878]) ).
fof(f1878,plain,
( ! [X0] :
( ~ v1_funct_1(u1_group_1(X0))
| ~ v1_xboole_0(u1_group_1(X0))
| v1_xboole_0(u1_struct_0(X0))
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)))
| ~ l1_group_1(X0)
| ~ l1_group_1(X0) )
| ~ spl30_217
| ~ spl30_257 ),
inference(resolution,[],[f1872,f1609]) ).
fof(f1872,plain,
( ! [X0] :
( ~ m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(u1_group_1(X0))
| ~ v1_xboole_0(u1_group_1(X0))
| v1_xboole_0(u1_struct_0(X0))
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)))
| ~ l1_group_1(X0) )
| ~ spl30_257 ),
inference(avatar_component_clause,[],[f1871]) ).
fof(f2493,plain,
( spl30_351
| ~ spl30_41
| ~ spl30_241 ),
inference(avatar_split_clause,[],[f1787,f1774,f575,f2491]) ).
fof(f2491,plain,
( spl30_351
<=> ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| v1_relat_1(k3_group_1(X0,sK10(u1_struct_0(X0))))
| ~ v1_fraenkel(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_351])]) ).
fof(f1787,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| v1_relat_1(k3_group_1(X0,sK10(u1_struct_0(X0))))
| ~ v1_fraenkel(u1_struct_0(X0)) )
| ~ spl30_41
| ~ spl30_241 ),
inference(resolution,[],[f1775,f576]) ).
fof(f2489,plain,
( spl30_350
| ~ spl30_41
| ~ spl30_240 ),
inference(avatar_split_clause,[],[f1780,f1770,f575,f2487]) ).
fof(f2487,plain,
( spl30_350
<=> ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| v1_funct_1(k3_group_1(X0,sK10(u1_struct_0(X0))))
| ~ v1_fraenkel(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_350])]) ).
fof(f1780,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| v1_funct_1(k3_group_1(X0,sK10(u1_struct_0(X0))))
| ~ v1_fraenkel(u1_struct_0(X0)) )
| ~ spl30_41
| ~ spl30_240 ),
inference(resolution,[],[f1771,f576]) ).
fof(f2485,plain,
( spl30_349
| ~ spl30_215
| ~ spl30_222 ),
inference(avatar_split_clause,[],[f1682,f1646,f1600,f2483]) ).
fof(f2483,plain,
( spl30_349
<=> ! [X0,X3,X2,X1] :
( ~ m1_fraenkel(X0,X1,X2)
| v1_xboole_0(X2)
| ~ r2_hidden(X3,sK16(X1,X2,X0))
| m1_subset_1(X3,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_349])]) ).
fof(f1646,plain,
( spl30_222
<=> ! [X2,X0,X1] :
( m2_relset_1(sK16(X0,X1,X2),X0,X1)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_222])]) ).
fof(f1682,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_fraenkel(X0,X1,X2)
| v1_xboole_0(X2)
| ~ r2_hidden(X3,sK16(X1,X2,X0))
| m1_subset_1(X3,k2_zfmisc_1(X1,X2)) )
| ~ spl30_215
| ~ spl30_222 ),
inference(resolution,[],[f1647,f1601]) ).
fof(f1647,plain,
( ! [X2,X0,X1] :
( m2_relset_1(sK16(X0,X1,X2),X0,X1)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) )
| ~ spl30_222 ),
inference(avatar_component_clause,[],[f1646]) ).
fof(f2481,plain,
( spl30_348
| ~ spl30_100
| ~ spl30_219 ),
inference(avatar_split_clause,[],[f1633,f1617,f860,f2479]) ).
fof(f2479,plain,
( spl30_348
<=> ! [X0,X3,X2,X1] :
( v1_xboole_0(X0)
| ~ m1_fraenkel(k1_zfmisc_1(X1),X2,X0)
| m1_subset_1(X3,X1)
| ~ r2_hidden(X3,sK16(X2,X0,k1_zfmisc_1(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_348])]) ).
fof(f860,plain,
( spl30_100
<=> ! [X2,X0,X1] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_100])]) ).
fof(f1633,plain,
( ! [X2,X3,X0,X1] :
( v1_xboole_0(X0)
| ~ m1_fraenkel(k1_zfmisc_1(X1),X2,X0)
| m1_subset_1(X3,X1)
| ~ r2_hidden(X3,sK16(X2,X0,k1_zfmisc_1(X1))) )
| ~ spl30_100
| ~ spl30_219 ),
inference(resolution,[],[f1618,f861]) ).
fof(f861,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1) )
| ~ spl30_100 ),
inference(avatar_component_clause,[],[f860]) ).
fof(f2460,plain,
( spl30_347
| ~ spl30_74
| ~ spl30_256 ),
inference(avatar_split_clause,[],[f1869,f1866,f727,f2458]) ).
fof(f2458,plain,
( spl30_347
<=> ! [X0] :
( ~ v3_struct_0(g1_group_1(X0,sK15(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK15(k2_zfmisc_1(X0,X0),X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_347])]) ).
fof(f727,plain,
( spl30_74
<=> ! [X0,X1] : m1_relset_1(sK15(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_74])]) ).
fof(f1866,plain,
( spl30_256
<=> ! [X0] :
( ~ m1_relset_1(sK15(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v3_struct_0(g1_group_1(X0,sK15(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK15(k2_zfmisc_1(X0,X0),X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_256])]) ).
fof(f1869,plain,
( ! [X0] :
( ~ v3_struct_0(g1_group_1(X0,sK15(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK15(k2_zfmisc_1(X0,X0),X0))
| v1_xboole_0(X0) )
| ~ spl30_74
| ~ spl30_256 ),
inference(resolution,[],[f1867,f728]) ).
fof(f728,plain,
( ! [X0,X1] : m1_relset_1(sK15(X0,X1),X0,X1)
| ~ spl30_74 ),
inference(avatar_component_clause,[],[f727]) ).
fof(f1867,plain,
( ! [X0] :
( ~ m1_relset_1(sK15(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v3_struct_0(g1_group_1(X0,sK15(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK15(k2_zfmisc_1(X0,X0),X0))
| v1_xboole_0(X0) )
| ~ spl30_256 ),
inference(avatar_component_clause,[],[f1866]) ).
fof(f2456,plain,
( spl30_346
| ~ spl30_79
| ~ spl30_234 ),
inference(avatar_split_clause,[],[f1738,f1723,f750,f2454]) ).
fof(f2454,plain,
( spl30_346
<=> ! [X0,X1] :
( ~ m1_group_2(X0,X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| v1_relat_1(sK10(u1_struct_0(X0)))
| ~ v1_fraenkel(u1_struct_0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_346])]) ).
fof(f1738,plain,
( ! [X0,X1] :
( ~ m1_group_2(X0,X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| v1_relat_1(sK10(u1_struct_0(X0)))
| ~ v1_fraenkel(u1_struct_0(X1)) )
| ~ spl30_79
| ~ spl30_234 ),
inference(resolution,[],[f1724,f751]) ).
fof(f2452,plain,
( spl30_345
| ~ spl30_80
| ~ spl30_234 ),
inference(avatar_split_clause,[],[f1737,f1723,f754,f2450]) ).
fof(f2450,plain,
( spl30_345
<=> ! [X0,X1] :
( ~ m1_group_2(X0,X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| v1_funct_1(sK10(u1_struct_0(X0)))
| ~ v1_fraenkel(u1_struct_0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_345])]) ).
fof(f1737,plain,
( ! [X0,X1] :
( ~ m1_group_2(X0,X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| v1_funct_1(sK10(u1_struct_0(X0)))
| ~ v1_fraenkel(u1_struct_0(X1)) )
| ~ spl30_80
| ~ spl30_234 ),
inference(resolution,[],[f1724,f755]) ).
fof(f2448,plain,
( spl30_344
| ~ spl30_208
| ~ spl30_222 ),
inference(avatar_split_clause,[],[f1683,f1646,f1542,f2446]) ).
fof(f2446,plain,
( spl30_344
<=> ! [X2,X0,X1,X3] :
( ~ m1_fraenkel(X0,X1,X2)
| v1_xboole_0(X2)
| ~ v1_xboole_0(k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X3,sK16(X1,X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_344])]) ).
fof(f1683,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_fraenkel(X0,X1,X2)
| v1_xboole_0(X2)
| ~ v1_xboole_0(k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X3,sK16(X1,X2,X0)) )
| ~ spl30_208
| ~ spl30_222 ),
inference(resolution,[],[f1647,f1543]) ).
fof(f2444,plain,
( spl30_343
| ~ spl30_94
| ~ spl30_219 ),
inference(avatar_split_clause,[],[f1634,f1617,f834,f2442]) ).
fof(f2442,plain,
( spl30_343
<=> ! [X2,X0,X1,X3] :
( v1_xboole_0(X0)
| ~ m1_fraenkel(k1_zfmisc_1(X1),X2,X0)
| ~ v1_xboole_0(X1)
| ~ r2_hidden(X3,sK16(X2,X0,k1_zfmisc_1(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_343])]) ).
fof(f834,plain,
( spl30_94
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_94])]) ).
fof(f1634,plain,
( ! [X2,X3,X0,X1] :
( v1_xboole_0(X0)
| ~ m1_fraenkel(k1_zfmisc_1(X1),X2,X0)
| ~ v1_xboole_0(X1)
| ~ r2_hidden(X3,sK16(X2,X0,k1_zfmisc_1(X1))) )
| ~ spl30_94
| ~ spl30_219 ),
inference(resolution,[],[f1618,f835]) ).
fof(f835,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v1_xboole_0(X2)
| ~ r2_hidden(X0,X1) )
| ~ spl30_94 ),
inference(avatar_component_clause,[],[f834]) ).
fof(f2440,plain,
( spl30_342
| ~ spl30_107
| ~ spl30_215 ),
inference(avatar_split_clause,[],[f1620,f1600,f932,f2438]) ).
fof(f2438,plain,
( spl30_342
<=> ! [X0,X1] :
( ~ r2_hidden(X0,u1_group_1(X1))
| m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)))
| ~ l1_group_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_342])]) ).
fof(f932,plain,
( spl30_107
<=> ! [X0] :
( m2_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_107])]) ).
fof(f1620,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,u1_group_1(X1))
| m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)))
| ~ l1_group_1(X1) )
| ~ spl30_107
| ~ spl30_215 ),
inference(resolution,[],[f1601,f933]) ).
fof(f933,plain,
( ! [X0] :
( m2_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_group_1(X0) )
| ~ spl30_107 ),
inference(avatar_component_clause,[],[f932]) ).
fof(f2436,plain,
( spl30_340
| ~ spl30_341
| ~ spl30_235
| ~ spl30_296 ),
inference(avatar_split_clause,[],[f2202,f2130,f1740,f2433,f2429]) ).
fof(f2429,plain,
( spl30_340
<=> u1_group_1(sK3) = k2_autgroup(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_340])]) ).
fof(f2433,plain,
( spl30_341
<=> sK3 = k3_autgroup(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_341])]) ).
fof(f2130,plain,
( spl30_296
<=> ! [X0,X1] :
( g1_group_1(X0,X1) != sK3
| u1_group_1(sK3) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_296])]) ).
fof(f2202,plain,
( sK3 != k3_autgroup(sK24)
| u1_group_1(sK3) = k2_autgroup(sK24)
| ~ spl30_235
| ~ spl30_296 ),
inference(superposition,[],[f2131,f1742]) ).
fof(f2131,plain,
( ! [X0,X1] :
( g1_group_1(X0,X1) != sK3
| u1_group_1(sK3) = X1 )
| ~ spl30_296 ),
inference(avatar_component_clause,[],[f2130]) ).
fof(f2425,plain,
( spl30_339
| ~ spl30_67
| ~ spl30_232 ),
inference(avatar_split_clause,[],[f1730,f1715,f698,f2423]) ).
fof(f2423,plain,
( spl30_339
<=> ! [X2,X0,X1] :
( v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1)
| ~ r2_hidden(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_339])]) ).
fof(f1715,plain,
( spl30_232
<=> ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| r2_hidden(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_232])]) ).
fof(f1730,plain,
( ! [X2,X0,X1] :
( v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1)
| ~ r2_hidden(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2) )
| ~ spl30_67
| ~ spl30_232 ),
inference(resolution,[],[f1716,f699]) ).
fof(f1716,plain,
( ! [X2,X0,X1] :
( r2_hidden(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m2_relset_1(X0,X1,X2) )
| ~ spl30_232 ),
inference(avatar_component_clause,[],[f1715]) ).
fof(f2421,plain,
( spl30_338
| ~ spl30_107
| ~ spl30_208 ),
inference(avatar_split_clause,[],[f1575,f1542,f932,f2419]) ).
fof(f2419,plain,
( spl30_338
<=> ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)))
| ~ r2_hidden(X1,u1_group_1(X0))
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_338])]) ).
fof(f1575,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)))
| ~ r2_hidden(X1,u1_group_1(X0))
| ~ l1_group_1(X0) )
| ~ spl30_107
| ~ spl30_208 ),
inference(resolution,[],[f1543,f933]) ).
fof(f2391,plain,
( spl30_337
| ~ spl30_217
| ~ spl30_253 ),
inference(avatar_split_clause,[],[f1853,f1847,f1608,f2389]) ).
fof(f2389,plain,
( spl30_337
<=> ! [X0] :
( ~ v3_struct_0(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ v1_funct_1(u1_group_1(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_337])]) ).
fof(f1847,plain,
( spl30_253
<=> ! [X0] :
( ~ m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v3_struct_0(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ v1_funct_1(u1_group_1(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_253])]) ).
fof(f1853,plain,
( ! [X0] :
( ~ v3_struct_0(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ v1_funct_1(u1_group_1(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_group_1(X0) )
| ~ spl30_217
| ~ spl30_253 ),
inference(duplicate_literal_removal,[],[f1852]) ).
fof(f1852,plain,
( ! [X0] :
( ~ v3_struct_0(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ v1_funct_1(u1_group_1(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ l1_group_1(X0) )
| ~ spl30_217
| ~ spl30_253 ),
inference(resolution,[],[f1848,f1609]) ).
fof(f1848,plain,
( ! [X0] :
( ~ m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v3_struct_0(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ v1_funct_1(u1_group_1(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_group_1(X0) )
| ~ spl30_253 ),
inference(avatar_component_clause,[],[f1847]) ).
fof(f2387,plain,
( spl30_336
| ~ spl30_74
| ~ spl30_252 ),
inference(avatar_split_clause,[],[f1851,f1843,f727,f2385]) ).
fof(f2385,plain,
( spl30_336
<=> ! [X0] :
( l1_group_1(g1_group_1(X0,sK15(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK15(k2_zfmisc_1(X0,X0),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_336])]) ).
fof(f1843,plain,
( spl30_252
<=> ! [X0] :
( ~ m1_relset_1(sK15(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| l1_group_1(g1_group_1(X0,sK15(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK15(k2_zfmisc_1(X0,X0),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_252])]) ).
fof(f1851,plain,
( ! [X0] :
( l1_group_1(g1_group_1(X0,sK15(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK15(k2_zfmisc_1(X0,X0),X0)) )
| ~ spl30_74
| ~ spl30_252 ),
inference(resolution,[],[f1844,f728]) ).
fof(f1844,plain,
( ! [X0] :
( ~ m1_relset_1(sK15(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| l1_group_1(g1_group_1(X0,sK15(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK15(k2_zfmisc_1(X0,X0),X0)) )
| ~ spl30_252 ),
inference(avatar_component_clause,[],[f1843]) ).
fof(f2383,plain,
( spl30_335
| ~ spl30_74
| ~ spl30_249 ),
inference(avatar_split_clause,[],[f1850,f1831,f727,f2381]) ).
fof(f2381,plain,
( spl30_335
<=> ! [X0] :
( v1_group_1(g1_group_1(X0,sK15(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK15(k2_zfmisc_1(X0,X0),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_335])]) ).
fof(f1831,plain,
( spl30_249
<=> ! [X0] :
( ~ m1_relset_1(sK15(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| v1_group_1(g1_group_1(X0,sK15(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK15(k2_zfmisc_1(X0,X0),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_249])]) ).
fof(f1850,plain,
( ! [X0] :
( v1_group_1(g1_group_1(X0,sK15(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK15(k2_zfmisc_1(X0,X0),X0)) )
| ~ spl30_74
| ~ spl30_249 ),
inference(resolution,[],[f1832,f728]) ).
fof(f1832,plain,
( ! [X0] :
( ~ m1_relset_1(sK15(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| v1_group_1(g1_group_1(X0,sK15(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK15(k2_zfmisc_1(X0,X0),X0)) )
| ~ spl30_249 ),
inference(avatar_component_clause,[],[f1831]) ).
fof(f2379,plain,
( spl30_334
| ~ spl30_60
| ~ spl30_236 ),
inference(avatar_split_clause,[],[f1753,f1749,f661,f2377]) ).
fof(f2377,plain,
( spl30_334
<=> ! [X0] :
( sP2(k3_autgroup(X0))
| ~ v3_group_1(k3_autgroup(X0))
| ~ v1_group_1(k3_autgroup(X0))
| v3_struct_0(k3_autgroup(X0))
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_334])]) ).
fof(f1749,plain,
( spl30_236
<=> ! [X0] :
( sP2(k3_autgroup(X0))
| ~ v4_group_1(k3_autgroup(X0))
| ~ v3_group_1(k3_autgroup(X0))
| ~ v1_group_1(k3_autgroup(X0))
| v3_struct_0(k3_autgroup(X0))
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_236])]) ).
fof(f1753,plain,
( ! [X0] :
( sP2(k3_autgroup(X0))
| ~ v3_group_1(k3_autgroup(X0))
| ~ v1_group_1(k3_autgroup(X0))
| v3_struct_0(k3_autgroup(X0))
| ~ sP2(X0) )
| ~ spl30_60
| ~ spl30_236 ),
inference(duplicate_literal_removal,[],[f1752]) ).
fof(f1752,plain,
( ! [X0] :
( sP2(k3_autgroup(X0))
| ~ v3_group_1(k3_autgroup(X0))
| ~ v1_group_1(k3_autgroup(X0))
| v3_struct_0(k3_autgroup(X0))
| ~ sP2(X0)
| ~ sP2(X0) )
| ~ spl30_60
| ~ spl30_236 ),
inference(resolution,[],[f1750,f662]) ).
fof(f1750,plain,
( ! [X0] :
( ~ v4_group_1(k3_autgroup(X0))
| sP2(k3_autgroup(X0))
| ~ v3_group_1(k3_autgroup(X0))
| ~ v1_group_1(k3_autgroup(X0))
| v3_struct_0(k3_autgroup(X0))
| ~ sP2(X0) )
| ~ spl30_236 ),
inference(avatar_component_clause,[],[f1749]) ).
fof(f2375,plain,
( spl30_333
| ~ spl30_67
| ~ spl30_229 ),
inference(avatar_split_clause,[],[f1708,f1696,f698,f2373]) ).
fof(f2373,plain,
( spl30_333
<=> ! [X0] :
( v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(X0)),sK6(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_333])]) ).
fof(f1696,plain,
( spl30_229
<=> ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK6(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_229])]) ).
fof(f1708,plain,
( ! [X0] :
( v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(X0)),sK6(X0)) )
| ~ spl30_67
| ~ spl30_229 ),
inference(resolution,[],[f1697,f699]) ).
fof(f1697,plain,
( ! [X0] :
( r2_hidden(sK6(X0),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0) )
| ~ spl30_229 ),
inference(avatar_component_clause,[],[f1696]) ).
fof(f2371,plain,
( spl30_332
| ~ spl30_90
| ~ spl30_219 ),
inference(avatar_split_clause,[],[f1629,f1617,f809,f2369]) ).
fof(f2369,plain,
( spl30_332
<=> ! [X2,X0,X1] :
( v1_xboole_0(X0)
| ~ m1_fraenkel(X1,X2,X0)
| v1_xboole_0(X1)
| r2_hidden(sK16(X2,X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_332])]) ).
fof(f1629,plain,
( ! [X2,X0,X1] :
( v1_xboole_0(X0)
| ~ m1_fraenkel(X1,X2,X0)
| v1_xboole_0(X1)
| r2_hidden(sK16(X2,X0,X1),X1) )
| ~ spl30_90
| ~ spl30_219 ),
inference(resolution,[],[f1618,f810]) ).
fof(f2357,plain,
( spl30_331
| ~ spl30_92
| ~ spl30_222 ),
inference(avatar_split_clause,[],[f1685,f1646,f817,f2355]) ).
fof(f2355,plain,
( spl30_331
<=> ! [X2,X0,X1] :
( ~ m1_fraenkel(X0,X1,X2)
| v1_xboole_0(X2)
| m1_relset_1(sK16(X1,X2,X0),X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_331])]) ).
fof(f1685,plain,
( ! [X2,X0,X1] :
( ~ m1_fraenkel(X0,X1,X2)
| v1_xboole_0(X2)
| m1_relset_1(sK16(X1,X2,X0),X1,X2) )
| ~ spl30_92
| ~ spl30_222 ),
inference(resolution,[],[f1647,f818]) ).
fof(f2353,plain,
( spl30_330
| ~ spl30_160
| ~ spl30_216 ),
inference(avatar_split_clause,[],[f1627,f1604,f1258,f2351]) ).
fof(f2351,plain,
( spl30_330
<=> ! [X0] :
( m1_subset_1(sK10(sK6(X0)),u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_xboole_0(sK6(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_330])]) ).
fof(f1258,plain,
( spl30_160
<=> ! [X0] :
( v1_xboole_0(X0)
| r2_hidden(sK10(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_160])]) ).
fof(f1604,plain,
( spl30_216
<=> ! [X0,X1] :
( m1_subset_1(X0,u1_struct_0(X1))
| ~ r2_hidden(X0,sK6(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_216])]) ).
fof(f1627,plain,
( ! [X0] :
( m1_subset_1(sK10(sK6(X0)),u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_xboole_0(sK6(X0)) )
| ~ spl30_160
| ~ spl30_216 ),
inference(resolution,[],[f1605,f1259]) ).
fof(f1259,plain,
( ! [X0] :
( r2_hidden(sK10(X0),X0)
| v1_xboole_0(X0) )
| ~ spl30_160 ),
inference(avatar_component_clause,[],[f1258]) ).
fof(f1605,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sK6(X1))
| m1_subset_1(X0,u1_struct_0(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1) )
| ~ spl30_216 ),
inference(avatar_component_clause,[],[f1604]) ).
fof(f2349,plain,
( spl30_329
| ~ spl30_132
| ~ spl30_166 ),
inference(avatar_split_clause,[],[f1293,f1282,f1093,f2347]) ).
fof(f2347,plain,
( spl30_329
<=> ! [X0] :
( v1_relat_1(k2_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_329])]) ).
fof(f1282,plain,
( spl30_166
<=> ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_166])]) ).
fof(f1293,plain,
( ! [X0] :
( v1_relat_1(k2_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) )
| ~ spl30_132
| ~ spl30_166 ),
inference(resolution,[],[f1283,f1094]) ).
fof(f1283,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) )
| ~ spl30_166 ),
inference(avatar_component_clause,[],[f1282]) ).
fof(f2341,plain,
( spl30_328
| ~ spl30_74
| ~ spl30_238 ),
inference(avatar_split_clause,[],[f1768,f1759,f727,f2339]) ).
fof(f2339,plain,
( spl30_328
<=> ! [X0,X1] :
( ~ v1_funct_1(sK15(X0,X1))
| ~ v1_xboole_0(sK15(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_328])]) ).
fof(f1759,plain,
( spl30_238
<=> ! [X0,X1] :
( ~ v1_xboole_0(sK15(X0,X1))
| ~ v1_funct_1(sK15(X0,X1))
| ~ m1_relset_1(sK15(X0,X1),X0,X1)
| v1_xboole_0(X1)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_238])]) ).
fof(f1768,plain,
( ! [X0,X1] :
( ~ v1_funct_1(sK15(X0,X1))
| ~ v1_xboole_0(sK15(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) )
| ~ spl30_74
| ~ spl30_238 ),
inference(resolution,[],[f1760,f728]) ).
fof(f1760,plain,
( ! [X0,X1] :
( ~ m1_relset_1(sK15(X0,X1),X0,X1)
| ~ v1_funct_1(sK15(X0,X1))
| ~ v1_xboole_0(sK15(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) )
| ~ spl30_238 ),
inference(avatar_component_clause,[],[f1759]) ).
fof(f2337,plain,
( spl30_327
| ~ spl30_74
| ~ spl30_237 ),
inference(avatar_split_clause,[],[f1762,f1755,f727,f2335]) ).
fof(f2335,plain,
( spl30_327
<=> ! [X0,X1] :
( ~ v1_funct_1(sK15(X0,X1))
| v1_partfun1(sK15(X0,X1),X0,X1)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_327])]) ).
fof(f1755,plain,
( spl30_237
<=> ! [X0,X1] :
( v1_partfun1(sK15(X0,X1),X0,X1)
| ~ v1_funct_1(sK15(X0,X1))
| ~ m1_relset_1(sK15(X0,X1),X0,X1)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_237])]) ).
fof(f1762,plain,
( ! [X0,X1] :
( ~ v1_funct_1(sK15(X0,X1))
| v1_partfun1(sK15(X0,X1),X0,X1)
| v1_xboole_0(X1) )
| ~ spl30_74
| ~ spl30_237 ),
inference(resolution,[],[f1756,f728]) ).
fof(f1756,plain,
( ! [X0,X1] :
( ~ m1_relset_1(sK15(X0,X1),X0,X1)
| ~ v1_funct_1(sK15(X0,X1))
| v1_partfun1(sK15(X0,X1),X0,X1)
| v1_xboole_0(X1) )
| ~ spl30_237 ),
inference(avatar_component_clause,[],[f1755]) ).
fof(f2333,plain,
( spl30_326
| ~ spl30_58
| ~ spl30_233 ),
inference(avatar_split_clause,[],[f1733,f1719,f653,f2331]) ).
fof(f2331,plain,
( spl30_326
<=> ! [X0] :
( k3_autgroup(X0) = g1_group_1(u1_struct_0(k3_autgroup(X0)),u1_group_1(k3_autgroup(X0)))
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_326])]) ).
fof(f653,plain,
( spl30_58
<=> ! [X0] :
( v1_group_1(k3_autgroup(X0))
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_58])]) ).
fof(f1719,plain,
( spl30_233
<=> ! [X0] :
( ~ v1_group_1(k3_autgroup(X0))
| k3_autgroup(X0) = g1_group_1(u1_struct_0(k3_autgroup(X0)),u1_group_1(k3_autgroup(X0)))
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_233])]) ).
fof(f1733,plain,
( ! [X0] :
( k3_autgroup(X0) = g1_group_1(u1_struct_0(k3_autgroup(X0)),u1_group_1(k3_autgroup(X0)))
| ~ sP2(X0) )
| ~ spl30_58
| ~ spl30_233 ),
inference(duplicate_literal_removal,[],[f1732]) ).
fof(f1732,plain,
( ! [X0] :
( k3_autgroup(X0) = g1_group_1(u1_struct_0(k3_autgroup(X0)),u1_group_1(k3_autgroup(X0)))
| ~ sP2(X0)
| ~ sP2(X0) )
| ~ spl30_58
| ~ spl30_233 ),
inference(resolution,[],[f1720,f654]) ).
fof(f654,plain,
( ! [X0] :
( v1_group_1(k3_autgroup(X0))
| ~ sP2(X0) )
| ~ spl30_58 ),
inference(avatar_component_clause,[],[f653]) ).
fof(f1720,plain,
( ! [X0] :
( ~ v1_group_1(k3_autgroup(X0))
| k3_autgroup(X0) = g1_group_1(u1_struct_0(k3_autgroup(X0)),u1_group_1(k3_autgroup(X0)))
| ~ sP2(X0) )
| ~ spl30_233 ),
inference(avatar_component_clause,[],[f1719]) ).
fof(f2315,plain,
( spl30_324
| ~ spl30_325
| ~ spl30_151
| ~ spl30_296 ),
inference(avatar_split_clause,[],[f2201,f2130,f1211,f2312,f2308]) ).
fof(f2308,plain,
( spl30_324
<=> u1_group_1(sK3) = k2_autgroup(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_324])]) ).
fof(f2312,plain,
( spl30_325
<=> sK3 = k3_autgroup(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_325])]) ).
fof(f2201,plain,
( sK3 != k3_autgroup(sK3)
| u1_group_1(sK3) = k2_autgroup(sK3)
| ~ spl30_151
| ~ spl30_296 ),
inference(superposition,[],[f2131,f1213]) ).
fof(f2296,plain,
( spl30_323
| ~ spl30_217
| ~ spl30_245 ),
inference(avatar_split_clause,[],[f1814,f1805,f1608,f2294]) ).
fof(f2294,plain,
( spl30_323
<=> ! [X0] :
( l1_group_1(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_323])]) ).
fof(f1805,plain,
( spl30_245
<=> ! [X0] :
( ~ m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| l1_group_1(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_245])]) ).
fof(f1814,plain,
( ! [X0] :
( l1_group_1(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0) )
| ~ spl30_217
| ~ spl30_245 ),
inference(duplicate_literal_removal,[],[f1813]) ).
fof(f1813,plain,
( ! [X0] :
( l1_group_1(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0)
| ~ l1_group_1(X0) )
| ~ spl30_217
| ~ spl30_245 ),
inference(resolution,[],[f1806,f1609]) ).
fof(f1806,plain,
( ! [X0] :
( ~ m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| l1_group_1(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0) )
| ~ spl30_245 ),
inference(avatar_component_clause,[],[f1805]) ).
fof(f2292,plain,
( spl30_322
| ~ spl30_217
| ~ spl30_244 ),
inference(avatar_split_clause,[],[f1812,f1801,f1608,f2290]) ).
fof(f2290,plain,
( spl30_322
<=> ! [X0] :
( v1_group_1(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_322])]) ).
fof(f1801,plain,
( spl30_244
<=> ! [X0] :
( ~ m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v1_group_1(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_244])]) ).
fof(f1812,plain,
( ! [X0] :
( v1_group_1(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0) )
| ~ spl30_217
| ~ spl30_244 ),
inference(duplicate_literal_removal,[],[f1811]) ).
fof(f1811,plain,
( ! [X0] :
( v1_group_1(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0)
| ~ l1_group_1(X0) )
| ~ spl30_217
| ~ spl30_244 ),
inference(resolution,[],[f1802,f1609]) ).
fof(f1802,plain,
( ! [X0] :
( ~ m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v1_group_1(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0) )
| ~ spl30_244 ),
inference(avatar_component_clause,[],[f1801]) ).
fof(f2288,plain,
( spl30_321
| ~ spl30_60
| ~ spl30_231 ),
inference(avatar_split_clause,[],[f1713,f1704,f661,f2286]) ).
fof(f2286,plain,
( spl30_321
<=> ! [X0] :
( sP1(k3_autgroup(X0))
| ~ v3_group_1(k3_autgroup(X0))
| v3_struct_0(k3_autgroup(X0))
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_321])]) ).
fof(f1704,plain,
( spl30_231
<=> ! [X0] :
( sP1(k3_autgroup(X0))
| ~ v4_group_1(k3_autgroup(X0))
| ~ v3_group_1(k3_autgroup(X0))
| v3_struct_0(k3_autgroup(X0))
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_231])]) ).
fof(f1713,plain,
( ! [X0] :
( sP1(k3_autgroup(X0))
| ~ v3_group_1(k3_autgroup(X0))
| v3_struct_0(k3_autgroup(X0))
| ~ sP2(X0) )
| ~ spl30_60
| ~ spl30_231 ),
inference(duplicate_literal_removal,[],[f1712]) ).
fof(f1712,plain,
( ! [X0] :
( sP1(k3_autgroup(X0))
| ~ v3_group_1(k3_autgroup(X0))
| v3_struct_0(k3_autgroup(X0))
| ~ sP2(X0)
| ~ sP2(X0) )
| ~ spl30_60
| ~ spl30_231 ),
inference(resolution,[],[f1705,f662]) ).
fof(f1705,plain,
( ! [X0] :
( ~ v4_group_1(k3_autgroup(X0))
| sP1(k3_autgroup(X0))
| ~ v3_group_1(k3_autgroup(X0))
| v3_struct_0(k3_autgroup(X0))
| ~ sP2(X0) )
| ~ spl30_231 ),
inference(avatar_component_clause,[],[f1704]) ).
fof(f2284,plain,
( spl30_320
| ~ spl30_60
| ~ spl30_230 ),
inference(avatar_split_clause,[],[f1711,f1700,f661,f2282]) ).
fof(f2282,plain,
( spl30_320
<=> ! [X0] :
( sP0(k3_autgroup(X0))
| ~ v3_group_1(k3_autgroup(X0))
| v3_struct_0(k3_autgroup(X0))
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_320])]) ).
fof(f1700,plain,
( spl30_230
<=> ! [X0] :
( sP0(k3_autgroup(X0))
| ~ v4_group_1(k3_autgroup(X0))
| ~ v3_group_1(k3_autgroup(X0))
| v3_struct_0(k3_autgroup(X0))
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_230])]) ).
fof(f1711,plain,
( ! [X0] :
( sP0(k3_autgroup(X0))
| ~ v3_group_1(k3_autgroup(X0))
| v3_struct_0(k3_autgroup(X0))
| ~ sP2(X0) )
| ~ spl30_60
| ~ spl30_230 ),
inference(duplicate_literal_removal,[],[f1710]) ).
fof(f1710,plain,
( ! [X0] :
( sP0(k3_autgroup(X0))
| ~ v3_group_1(k3_autgroup(X0))
| v3_struct_0(k3_autgroup(X0))
| ~ sP2(X0)
| ~ sP2(X0) )
| ~ spl30_60
| ~ spl30_230 ),
inference(resolution,[],[f1701,f662]) ).
fof(f1701,plain,
( ! [X0] :
( ~ v4_group_1(k3_autgroup(X0))
| sP0(k3_autgroup(X0))
| ~ v3_group_1(k3_autgroup(X0))
| v3_struct_0(k3_autgroup(X0))
| ~ sP2(X0) )
| ~ spl30_230 ),
inference(avatar_component_clause,[],[f1700]) ).
fof(f2280,plain,
( spl30_319
| ~ spl30_69
| ~ spl30_223 ),
inference(avatar_split_clause,[],[f1686,f1650,f706,f2278]) ).
fof(f2278,plain,
( spl30_319
<=> ! [X2,X0,X1] :
( m2_relset_1(X0,X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X0,sK11(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_319])]) ).
fof(f706,plain,
( spl30_69
<=> ! [X0,X1] : m1_fraenkel(sK11(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_69])]) ).
fof(f1686,plain,
( ! [X2,X0,X1] :
( m2_relset_1(X0,X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X0,sK11(X1,X2)) )
| ~ spl30_69
| ~ spl30_223 ),
inference(resolution,[],[f1651,f707]) ).
fof(f707,plain,
( ! [X0,X1] : m1_fraenkel(sK11(X0,X1),X0,X1)
| ~ spl30_69 ),
inference(avatar_component_clause,[],[f706]) ).
fof(f2276,plain,
( spl30_318
| ~ spl30_166
| ~ spl30_222 ),
inference(avatar_split_clause,[],[f1684,f1646,f1282,f2274]) ).
fof(f2274,plain,
( spl30_318
<=> ! [X2,X0,X1] :
( ~ m1_fraenkel(X0,X1,X2)
| v1_xboole_0(X2)
| v1_relat_1(sK16(X1,X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_318])]) ).
fof(f1684,plain,
( ! [X2,X0,X1] :
( ~ m1_fraenkel(X0,X1,X2)
| v1_xboole_0(X2)
| v1_relat_1(sK16(X1,X2,X0)) )
| ~ spl30_166
| ~ spl30_222 ),
inference(resolution,[],[f1647,f1283]) ).
fof(f2272,plain,
( spl30_317
| ~ spl30_69
| ~ spl30_221 ),
inference(avatar_split_clause,[],[f1678,f1642,f706,f2270]) ).
fof(f2270,plain,
( spl30_317
<=> ! [X2,X0,X1] :
( v1_funct_2(X0,X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X0,sK11(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_317])]) ).
fof(f1678,plain,
( ! [X2,X0,X1] :
( v1_funct_2(X0,X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X0,sK11(X1,X2)) )
| ~ spl30_69
| ~ spl30_221 ),
inference(resolution,[],[f1643,f707]) ).
fof(f2268,plain,
( spl30_316
| ~ spl30_39
| ~ spl30_211 ),
inference(avatar_split_clause,[],[f1594,f1560,f567,f2266]) ).
fof(f2266,plain,
( spl30_316
<=> ! [X0] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ sP1(X0)
| l1_struct_0(sK8(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_316])]) ).
fof(f567,plain,
( spl30_39
<=> ! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_39])]) ).
fof(f1594,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ sP1(X0)
| l1_struct_0(sK8(X0)) )
| ~ spl30_39
| ~ spl30_211 ),
inference(resolution,[],[f1561,f568]) ).
fof(f568,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| l1_struct_0(X0) )
| ~ spl30_39 ),
inference(avatar_component_clause,[],[f567]) ).
fof(f2264,plain,
( spl30_315
| ~ spl30_39
| ~ spl30_210 ),
inference(avatar_split_clause,[],[f1588,f1550,f567,f2262]) ).
fof(f2262,plain,
( spl30_315
<=> ! [X0] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ sP0(X0)
| l1_struct_0(sK7(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_315])]) ).
fof(f1588,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ sP0(X0)
| l1_struct_0(sK7(X0)) )
| ~ spl30_39
| ~ spl30_210 ),
inference(resolution,[],[f1551,f568]) ).
fof(f2256,plain,
( spl30_314
| ~ spl30_41
| ~ spl30_285 ),
inference(avatar_split_clause,[],[f2090,f2054,f575,f2253]) ).
fof(f2253,plain,
( spl30_314
<=> v1_relat_1(sK10(k4_autgroup(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_314])]) ).
fof(f2054,plain,
( spl30_285
<=> ! [X0] :
( ~ m1_subset_1(X0,k4_autgroup(sK3))
| v1_relat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_285])]) ).
fof(f2090,plain,
( v1_relat_1(sK10(k4_autgroup(sK3)))
| ~ spl30_41
| ~ spl30_285 ),
inference(resolution,[],[f2055,f576]) ).
fof(f2055,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k4_autgroup(sK3))
| v1_relat_1(X0) )
| ~ spl30_285 ),
inference(avatar_component_clause,[],[f2054]) ).
fof(f2236,plain,
( spl30_313
| ~ spl30_165
| ~ spl30_215 ),
inference(avatar_split_clause,[],[f1626,f1600,f1278,f2234]) ).
fof(f2234,plain,
( spl30_313
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK15(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_313])]) ).
fof(f1278,plain,
( spl30_165
<=> ! [X0,X1] : m2_relset_1(sK15(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_165])]) ).
fof(f1626,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK15(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl30_165
| ~ spl30_215 ),
inference(resolution,[],[f1601,f1279]) ).
fof(f1279,plain,
( ! [X0,X1] : m2_relset_1(sK15(X0,X1),X0,X1)
| ~ spl30_165 ),
inference(avatar_component_clause,[],[f1278]) ).
fof(f2232,plain,
( spl30_312
| ~ spl30_164
| ~ spl30_215 ),
inference(avatar_split_clause,[],[f1625,f1600,f1274,f2230]) ).
fof(f2230,plain,
( spl30_312
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK14(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_312])]) ).
fof(f1274,plain,
( spl30_164
<=> ! [X0,X1] : m2_relset_1(sK14(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_164])]) ).
fof(f1625,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK14(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl30_164
| ~ spl30_215 ),
inference(resolution,[],[f1601,f1275]) ).
fof(f1275,plain,
( ! [X0,X1] : m2_relset_1(sK14(X0,X1),X0,X1)
| ~ spl30_164 ),
inference(avatar_component_clause,[],[f1274]) ).
fof(f2228,plain,
( spl30_311
| ~ spl30_71
| ~ spl30_215 ),
inference(avatar_split_clause,[],[f1624,f1600,f714,f2226]) ).
fof(f2226,plain,
( spl30_311
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK13(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_311])]) ).
fof(f714,plain,
( spl30_71
<=> ! [X0,X1] : m2_relset_1(sK13(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_71])]) ).
fof(f1624,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK13(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl30_71
| ~ spl30_215 ),
inference(resolution,[],[f1601,f715]) ).
fof(f715,plain,
( ! [X0,X1] : m2_relset_1(sK13(X0,X1),X0,X1)
| ~ spl30_71 ),
inference(avatar_component_clause,[],[f714]) ).
fof(f2224,plain,
( spl30_310
| ~ spl30_163
| ~ spl30_215 ),
inference(avatar_split_clause,[],[f1623,f1600,f1270,f2222]) ).
fof(f2222,plain,
( spl30_310
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK12(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_310])]) ).
fof(f1270,plain,
( spl30_163
<=> ! [X0,X1] : m2_relset_1(sK12(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_163])]) ).
fof(f1623,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK12(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl30_163
| ~ spl30_215 ),
inference(resolution,[],[f1601,f1271]) ).
fof(f1271,plain,
( ! [X0,X1] : m2_relset_1(sK12(X0,X1),X0,X1)
| ~ spl30_163 ),
inference(avatar_component_clause,[],[f1270]) ).
fof(f2214,plain,
( ~ spl30_293
| ~ spl30_294
| ~ spl30_295
| spl30_309
| ~ spl30_134
| ~ spl30_141 ),
inference(avatar_split_clause,[],[f1158,f1151,f1109,f2212,f2126,f2122,f2118]) ).
fof(f2118,plain,
( spl30_293
<=> v1_funct_1(u1_group_1(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_293])]) ).
fof(f2122,plain,
( spl30_294
<=> v1_funct_2(u1_group_1(sK3),k2_zfmisc_1(u1_struct_0(sK3),u1_struct_0(sK3)),u1_struct_0(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_294])]) ).
fof(f2126,plain,
( spl30_295
<=> m1_relset_1(u1_group_1(sK3),k2_zfmisc_1(u1_struct_0(sK3),u1_struct_0(sK3)),u1_struct_0(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_295])]) ).
fof(f2212,plain,
( spl30_309
<=> ! [X0,X1] :
( g1_group_1(X0,X1) != sK3
| u1_struct_0(sK3) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_309])]) ).
fof(f1151,plain,
( spl30_141
<=> sK3 = g1_group_1(u1_struct_0(sK3),u1_group_1(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_141])]) ).
fof(f1158,plain,
( ! [X0,X1] :
( g1_group_1(X0,X1) != sK3
| u1_struct_0(sK3) = X0
| ~ m1_relset_1(u1_group_1(sK3),k2_zfmisc_1(u1_struct_0(sK3),u1_struct_0(sK3)),u1_struct_0(sK3))
| ~ v1_funct_2(u1_group_1(sK3),k2_zfmisc_1(u1_struct_0(sK3),u1_struct_0(sK3)),u1_struct_0(sK3))
| ~ v1_funct_1(u1_group_1(sK3)) )
| ~ spl30_134
| ~ spl30_141 ),
inference(superposition,[],[f1110,f1153]) ).
fof(f1153,plain,
( sK3 = g1_group_1(u1_struct_0(sK3),u1_group_1(sK3))
| ~ spl30_141 ),
inference(avatar_component_clause,[],[f1151]) ).
fof(f2196,plain,
( ~ spl30_5
| ~ spl30_106
| spl30_294 ),
inference(avatar_split_clause,[],[f2134,f2122,f928,f398]) ).
fof(f2134,plain,
( ~ l1_group_1(sK3)
| ~ spl30_106
| spl30_294 ),
inference(resolution,[],[f2124,f929]) ).
fof(f2124,plain,
( ~ v1_funct_2(u1_group_1(sK3),k2_zfmisc_1(u1_struct_0(sK3),u1_struct_0(sK3)),u1_struct_0(sK3))
| spl30_294 ),
inference(avatar_component_clause,[],[f2122]) ).
fof(f2195,plain,
( spl30_308
| ~ spl30_67
| ~ spl30_204 ),
inference(avatar_split_clause,[],[f1531,f1522,f698,f2193]) ).
fof(f2193,plain,
( spl30_308
<=> ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X0)
| ~ r2_hidden(k1_zfmisc_1(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_308])]) ).
fof(f1522,plain,
( spl30_204
<=> ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(X1,k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_204])]) ).
fof(f1531,plain,
( ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X0)
| ~ r2_hidden(k1_zfmisc_1(X0),X1) )
| ~ spl30_67
| ~ spl30_204 ),
inference(resolution,[],[f1523,f699]) ).
fof(f1523,plain,
( ! [X0,X1] :
( r2_hidden(X1,k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X0) )
| ~ spl30_204 ),
inference(avatar_component_clause,[],[f1522]) ).
fof(f2191,plain,
( spl30_307
| ~ spl30_160
| ~ spl30_194 ),
inference(avatar_split_clause,[],[f1461,f1455,f1258,f2189]) ).
fof(f2189,plain,
( spl30_307
<=> ! [X0] :
( m1_subset_1(sK10(sK10(k1_zfmisc_1(X0))),X0)
| v1_xboole_0(sK10(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_307])]) ).
fof(f1455,plain,
( spl30_194
<=> ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK10(k1_zfmisc_1(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_194])]) ).
fof(f1461,plain,
( ! [X0] :
( m1_subset_1(sK10(sK10(k1_zfmisc_1(X0))),X0)
| v1_xboole_0(sK10(k1_zfmisc_1(X0))) )
| ~ spl30_160
| ~ spl30_194 ),
inference(resolution,[],[f1456,f1259]) ).
fof(f1456,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sK10(k1_zfmisc_1(X1)))
| m1_subset_1(X0,X1) )
| ~ spl30_194 ),
inference(avatar_component_clause,[],[f1455]) ).
fof(f2181,plain,
( spl30_306
| ~ spl30_69
| ~ spl30_213 ),
inference(avatar_split_clause,[],[f1595,f1568,f706,f2179]) ).
fof(f2179,plain,
( spl30_306
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,sK11(X1,X2))
| v1_xboole_0(X2)
| v1_funct_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_306])]) ).
fof(f1595,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,sK11(X1,X2))
| v1_xboole_0(X2)
| v1_funct_1(X0) )
| ~ spl30_69
| ~ spl30_213 ),
inference(resolution,[],[f1569,f707]) ).
fof(f2176,plain,
( ~ spl30_5
| ~ spl30_217
| spl30_295 ),
inference(avatar_split_clause,[],[f2135,f2126,f1608,f398]) ).
fof(f2135,plain,
( ~ l1_group_1(sK3)
| ~ spl30_217
| spl30_295 ),
inference(resolution,[],[f2128,f1609]) ).
fof(f2128,plain,
( ~ m1_relset_1(u1_group_1(sK3),k2_zfmisc_1(u1_struct_0(sK3),u1_struct_0(sK3)),u1_struct_0(sK3))
| spl30_295 ),
inference(avatar_component_clause,[],[f2126]) ).
fof(f2175,plain,
( spl30_305
| ~ spl30_165
| ~ spl30_208 ),
inference(avatar_split_clause,[],[f1581,f1542,f1278,f2173]) ).
fof(f2173,plain,
( spl30_305
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,sK15(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_305])]) ).
fof(f1581,plain,
( ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,sK15(X0,X1)) )
| ~ spl30_165
| ~ spl30_208 ),
inference(resolution,[],[f1543,f1279]) ).
fof(f2171,plain,
( spl30_304
| ~ spl30_164
| ~ spl30_208 ),
inference(avatar_split_clause,[],[f1580,f1542,f1274,f2169]) ).
fof(f2169,plain,
( spl30_304
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,sK14(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_304])]) ).
fof(f1580,plain,
( ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,sK14(X0,X1)) )
| ~ spl30_164
| ~ spl30_208 ),
inference(resolution,[],[f1543,f1275]) ).
fof(f2167,plain,
( spl30_303
| ~ spl30_71
| ~ spl30_208 ),
inference(avatar_split_clause,[],[f1579,f1542,f714,f2165]) ).
fof(f2165,plain,
( spl30_303
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,sK13(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_303])]) ).
fof(f1579,plain,
( ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,sK13(X0,X1)) )
| ~ spl30_71
| ~ spl30_208 ),
inference(resolution,[],[f1543,f715]) ).
fof(f2163,plain,
( spl30_302
| ~ spl30_163
| ~ spl30_208 ),
inference(avatar_split_clause,[],[f1578,f1542,f1270,f2161]) ).
fof(f2161,plain,
( spl30_302
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,sK12(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_302])]) ).
fof(f1578,plain,
( ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,sK12(X0,X1)) )
| ~ spl30_163
| ~ spl30_208 ),
inference(resolution,[],[f1543,f1271]) ).
fof(f2159,plain,
( spl30_301
| ~ spl30_39
| ~ spl30_203 ),
inference(avatar_split_clause,[],[f1520,f1511,f567,f2157]) ).
fof(f2157,plain,
( spl30_301
<=> ! [X0] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| l1_struct_0(sK9(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_301])]) ).
fof(f1520,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| l1_struct_0(sK9(X0)) )
| ~ spl30_39
| ~ spl30_203 ),
inference(resolution,[],[f1512,f568]) ).
fof(f2152,plain,
( ~ spl30_297
| ~ spl30_298
| ~ spl30_299
| spl30_300
| ~ spl30_135
| ~ spl30_151 ),
inference(avatar_split_clause,[],[f1216,f1211,f1113,f2150,f2146,f2142,f2138]) ).
fof(f2150,plain,
( spl30_300
<=> ! [X0,X1] :
( g1_group_1(X0,X1) != k3_autgroup(sK3)
| k2_autgroup(sK3) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_300])]) ).
fof(f1216,plain,
( ! [X0,X1] :
( g1_group_1(X0,X1) != k3_autgroup(sK3)
| k2_autgroup(sK3) = X1
| ~ m1_relset_1(k2_autgroup(sK3),k2_zfmisc_1(k1_autgroup(sK3),k1_autgroup(sK3)),k1_autgroup(sK3))
| ~ v1_funct_2(k2_autgroup(sK3),k2_zfmisc_1(k1_autgroup(sK3),k1_autgroup(sK3)),k1_autgroup(sK3))
| ~ v1_funct_1(k2_autgroup(sK3)) )
| ~ spl30_135
| ~ spl30_151 ),
inference(superposition,[],[f1114,f1213]) ).
fof(f2136,plain,
( ~ spl30_5
| ~ spl30_47
| spl30_293 ),
inference(avatar_split_clause,[],[f2133,f2118,f609,f398]) ).
fof(f2133,plain,
( ~ l1_group_1(sK3)
| ~ spl30_47
| spl30_293 ),
inference(resolution,[],[f2120,f610]) ).
fof(f2120,plain,
( ~ v1_funct_1(u1_group_1(sK3))
| spl30_293 ),
inference(avatar_component_clause,[],[f2118]) ).
fof(f2132,plain,
( ~ spl30_293
| ~ spl30_294
| ~ spl30_295
| spl30_296
| ~ spl30_135
| ~ spl30_141 ),
inference(avatar_split_clause,[],[f1156,f1151,f1113,f2130,f2126,f2122,f2118]) ).
fof(f1156,plain,
( ! [X0,X1] :
( g1_group_1(X0,X1) != sK3
| u1_group_1(sK3) = X1
| ~ m1_relset_1(u1_group_1(sK3),k2_zfmisc_1(u1_struct_0(sK3),u1_struct_0(sK3)),u1_struct_0(sK3))
| ~ v1_funct_2(u1_group_1(sK3),k2_zfmisc_1(u1_struct_0(sK3),u1_struct_0(sK3)),u1_struct_0(sK3))
| ~ v1_funct_1(u1_group_1(sK3)) )
| ~ spl30_135
| ~ spl30_141 ),
inference(superposition,[],[f1114,f1153]) ).
fof(f2111,plain,
( spl30_292
| ~ spl30_160
| ~ spl30_168 ),
inference(avatar_split_clause,[],[f1307,f1303,f1258,f2109]) ).
fof(f2109,plain,
( spl30_292
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| v1_xboole_0(sK10(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_292])]) ).
fof(f1303,plain,
( spl30_168
<=> ! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK10(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_168])]) ).
fof(f1307,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| v1_xboole_0(sK10(k1_zfmisc_1(X0))) )
| ~ spl30_160
| ~ spl30_168 ),
inference(resolution,[],[f1304,f1259]) ).
fof(f1304,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,sK10(k1_zfmisc_1(X0)))
| ~ v1_xboole_0(X0) )
| ~ spl30_168 ),
inference(avatar_component_clause,[],[f1303]) ).
fof(f2107,plain,
( spl30_291
| ~ spl30_67
| ~ spl30_160 ),
inference(avatar_split_clause,[],[f1286,f1258,f698,f2105]) ).
fof(f2105,plain,
( spl30_291
<=> ! [X0] :
( v1_xboole_0(X0)
| ~ r2_hidden(X0,sK10(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_291])]) ).
fof(f1286,plain,
( ! [X0] :
( v1_xboole_0(X0)
| ~ r2_hidden(X0,sK10(X0)) )
| ~ spl30_67
| ~ spl30_160 ),
inference(resolution,[],[f1259,f699]) ).
fof(f2088,plain,
( spl30_290
| ~ spl30_134
| ~ spl30_151 ),
inference(avatar_split_clause,[],[f1217,f1211,f1109,f2086]) ).
fof(f2086,plain,
( spl30_290
<=> ! [X0,X1] :
( g1_group_1(X0,X1) != k3_autgroup(sK3)
| k1_autgroup(sK3) = X0
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_290])]) ).
fof(f1217,plain,
( ! [X0,X1] :
( g1_group_1(X0,X1) != k3_autgroup(sK3)
| k1_autgroup(sK3) = X0
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl30_134
| ~ spl30_151 ),
inference(superposition,[],[f1110,f1213]) ).
fof(f2084,plain,
( spl30_289
| ~ spl30_135
| ~ spl30_151 ),
inference(avatar_split_clause,[],[f1215,f1211,f1113,f2082]) ).
fof(f2082,plain,
( spl30_289
<=> ! [X0,X1] :
( g1_group_1(X0,X1) != k3_autgroup(sK3)
| k2_autgroup(sK3) = X1
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_289])]) ).
fof(f1215,plain,
( ! [X0,X1] :
( g1_group_1(X0,X1) != k3_autgroup(sK3)
| k2_autgroup(sK3) = X1
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl30_135
| ~ spl30_151 ),
inference(superposition,[],[f1114,f1213]) ).
fof(f2068,plain,
( spl30_288
| ~ spl30_134
| ~ spl30_141 ),
inference(avatar_split_clause,[],[f1157,f1151,f1109,f2066]) ).
fof(f2066,plain,
( spl30_288
<=> ! [X0,X1] :
( g1_group_1(X0,X1) != sK3
| u1_struct_0(sK3) = X0
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_288])]) ).
fof(f1157,plain,
( ! [X0,X1] :
( g1_group_1(X0,X1) != sK3
| u1_struct_0(sK3) = X0
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl30_134
| ~ spl30_141 ),
inference(superposition,[],[f1110,f1153]) ).
fof(f2064,plain,
( spl30_287
| ~ spl30_135
| ~ spl30_141 ),
inference(avatar_split_clause,[],[f1155,f1151,f1113,f2062]) ).
fof(f2062,plain,
( spl30_287
<=> ! [X0,X1] :
( g1_group_1(X0,X1) != sK3
| u1_group_1(sK3) = X1
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_287])]) ).
fof(f1155,plain,
( ! [X0,X1] :
( g1_group_1(X0,X1) != sK3
| u1_group_1(sK3) = X1
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl30_135
| ~ spl30_141 ),
inference(superposition,[],[f1114,f1153]) ).
fof(f2060,plain,
( spl30_286
| ~ spl30_38
| ~ spl30_177 ),
inference(avatar_split_clause,[],[f1459,f1380,f563,f2058]) ).
fof(f2058,plain,
( spl30_286
<=> ! [X0] :
( v1_relat_1(X0)
| ~ v1_fraenkel(k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_286])]) ).
fof(f563,plain,
( spl30_38
<=> ! [X0] : r1_tarski(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_38])]) ).
fof(f1380,plain,
( spl30_177
<=> ! [X0,X1] :
( ~ r1_tarski(X0,X1)
| v1_relat_1(X0)
| ~ v1_fraenkel(k1_zfmisc_1(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_177])]) ).
fof(f1459,plain,
( ! [X0] :
( v1_relat_1(X0)
| ~ v1_fraenkel(k1_zfmisc_1(X0)) )
| ~ spl30_38
| ~ spl30_177 ),
inference(resolution,[],[f1381,f564]) ).
fof(f564,plain,
( ! [X0] : r1_tarski(X0,X0)
| ~ spl30_38 ),
inference(avatar_component_clause,[],[f563]) ).
fof(f1381,plain,
( ! [X0,X1] :
( ~ r1_tarski(X0,X1)
| v1_relat_1(X0)
| ~ v1_fraenkel(k1_zfmisc_1(X1)) )
| ~ spl30_177 ),
inference(avatar_component_clause,[],[f1380]) ).
fof(f2056,plain,
( spl30_285
| ~ spl30_166
| ~ spl30_276 ),
inference(avatar_split_clause,[],[f2015,f2010,f1282,f2054]) ).
fof(f2015,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k4_autgroup(sK3))
| v1_relat_1(X0) )
| ~ spl30_166
| ~ spl30_276 ),
inference(resolution,[],[f2011,f1283]) ).
fof(f2052,plain,
( spl30_284
| ~ spl30_38
| ~ spl30_176 ),
inference(avatar_split_clause,[],[f1458,f1376,f563,f2050]) ).
fof(f2050,plain,
( spl30_284
<=> ! [X0] :
( v1_funct_1(X0)
| ~ v1_fraenkel(k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_284])]) ).
fof(f1376,plain,
( spl30_176
<=> ! [X0,X1] :
( ~ r1_tarski(X0,X1)
| v1_funct_1(X0)
| ~ v1_fraenkel(k1_zfmisc_1(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_176])]) ).
fof(f1458,plain,
( ! [X0] :
( v1_funct_1(X0)
| ~ v1_fraenkel(k1_zfmisc_1(X0)) )
| ~ spl30_38
| ~ spl30_176 ),
inference(resolution,[],[f1377,f564]) ).
fof(f1377,plain,
( ! [X0,X1] :
( ~ r1_tarski(X0,X1)
| v1_funct_1(X0)
| ~ v1_fraenkel(k1_zfmisc_1(X1)) )
| ~ spl30_176 ),
inference(avatar_component_clause,[],[f1376]) ).
fof(f2048,plain,
( spl30_283
| ~ spl30_107
| ~ spl30_166 ),
inference(avatar_split_clause,[],[f1292,f1282,f932,f2046]) ).
fof(f2046,plain,
( spl30_283
<=> ! [X0] :
( v1_relat_1(u1_group_1(X0))
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_283])]) ).
fof(f1292,plain,
( ! [X0] :
( v1_relat_1(u1_group_1(X0))
| ~ l1_group_1(X0) )
| ~ spl30_107
| ~ spl30_166 ),
inference(resolution,[],[f1283,f933]) ).
fof(f2043,plain,
( spl30_143
| ~ spl30_218
| ~ spl30_145
| spl30_282
| ~ spl30_121
| ~ spl30_173 ),
inference(avatar_split_clause,[],[f1555,f1357,f1024,f2040,f1173,f1612,f1165]) ).
fof(f1612,plain,
( spl30_218
<=> m1_relset_1(sK5,u1_struct_0(sK3),u1_struct_0(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_218])]) ).
fof(f1173,plain,
( spl30_145
<=> v1_funct_1(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_145])]) ).
fof(f2040,plain,
( spl30_282
<=> v1_partfun1(sK5,u1_struct_0(sK3),u1_struct_0(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_282])]) ).
fof(f1357,plain,
( spl30_173
<=> v1_funct_2(sK5,u1_struct_0(sK3),u1_struct_0(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_173])]) ).
fof(f1555,plain,
( v1_partfun1(sK5,u1_struct_0(sK3),u1_struct_0(sK3))
| ~ v1_funct_1(sK5)
| ~ m1_relset_1(sK5,u1_struct_0(sK3),u1_struct_0(sK3))
| v1_xboole_0(u1_struct_0(sK3))
| ~ spl30_121
| ~ spl30_173 ),
inference(resolution,[],[f1359,f1025]) ).
fof(f1359,plain,
( v1_funct_2(sK5,u1_struct_0(sK3),u1_struct_0(sK3))
| ~ spl30_173 ),
inference(avatar_component_clause,[],[f1357]) ).
fof(f2038,plain,
( spl30_281
| ~ spl30_38
| ~ spl30_167 ),
inference(avatar_split_clause,[],[f1306,f1299,f563,f2036]) ).
fof(f2036,plain,
( spl30_281
<=> ! [X0,X1] : v1_relat_1(k2_zfmisc_1(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_281])]) ).
fof(f1299,plain,
( spl30_167
<=> ! [X2,X0,X1] :
( v1_relat_1(X0)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_167])]) ).
fof(f1306,plain,
( ! [X0,X1] : v1_relat_1(k2_zfmisc_1(X0,X1))
| ~ spl30_38
| ~ spl30_167 ),
inference(resolution,[],[f1300,f564]) ).
fof(f1300,plain,
( ! [X2,X0,X1] :
( ~ r1_tarski(X0,k2_zfmisc_1(X1,X2))
| v1_relat_1(X0) )
| ~ spl30_167 ),
inference(avatar_component_clause,[],[f1299]) ).
fof(f2034,plain,
( spl30_280
| ~ spl30_71
| ~ spl30_166 ),
inference(avatar_split_clause,[],[f1295,f1282,f714,f2032]) ).
fof(f2032,plain,
( spl30_280
<=> ! [X0,X1] : v1_relat_1(sK13(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_280])]) ).
fof(f1295,plain,
( ! [X0,X1] : v1_relat_1(sK13(X0,X1))
| ~ spl30_71
| ~ spl30_166 ),
inference(resolution,[],[f1283,f715]) ).
fof(f2030,plain,
( spl30_279
| ~ spl30_163
| ~ spl30_166 ),
inference(avatar_split_clause,[],[f1294,f1282,f1270,f2028]) ).
fof(f2028,plain,
( spl30_279
<=> ! [X0,X1] : v1_relat_1(sK12(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_279])]) ).
fof(f1294,plain,
( ! [X0,X1] : v1_relat_1(sK12(X0,X1))
| ~ spl30_163
| ~ spl30_166 ),
inference(resolution,[],[f1283,f1271]) ).
fof(f2025,plain,
( spl30_143
| ~ spl30_277
| spl30_278
| ~ spl30_114
| ~ spl30_169 ),
inference(avatar_split_clause,[],[f1334,f1320,f972,f2022,f2018,f1165]) ).
fof(f1334,plain,
( m1_subset_1(sK5,k1_autgroup(sK3))
| ~ m1_fraenkel(k1_autgroup(sK3),u1_struct_0(sK3),u1_struct_0(sK3))
| v1_xboole_0(u1_struct_0(sK3))
| ~ spl30_114
| ~ spl30_169 ),
inference(resolution,[],[f1322,f973]) ).
fof(f2012,plain,
( spl30_143
| spl30_276
| ~ spl30_144
| ~ spl30_223 ),
inference(avatar_split_clause,[],[f1688,f1650,f1169,f2010,f1165]) ).
fof(f1169,plain,
( spl30_144
<=> m1_fraenkel(k4_autgroup(sK3),u1_struct_0(sK3),u1_struct_0(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_144])]) ).
fof(f1688,plain,
( ! [X0] :
( m2_relset_1(X0,u1_struct_0(sK3),u1_struct_0(sK3))
| v1_xboole_0(u1_struct_0(sK3))
| ~ m1_subset_1(X0,k4_autgroup(sK3)) )
| ~ spl30_144
| ~ spl30_223 ),
inference(resolution,[],[f1651,f1170]) ).
fof(f1170,plain,
( m1_fraenkel(k4_autgroup(sK3),u1_struct_0(sK3),u1_struct_0(sK3))
| ~ spl30_144 ),
inference(avatar_component_clause,[],[f1169]) ).
fof(f2005,plain,
( spl30_143
| spl30_275
| ~ spl30_144
| ~ spl30_221 ),
inference(avatar_split_clause,[],[f1680,f1642,f1169,f2003,f1165]) ).
fof(f2003,plain,
( spl30_275
<=> ! [X0] :
( v1_funct_2(X0,u1_struct_0(sK3),u1_struct_0(sK3))
| ~ m1_subset_1(X0,k4_autgroup(sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_275])]) ).
fof(f1680,plain,
( ! [X0] :
( v1_funct_2(X0,u1_struct_0(sK3),u1_struct_0(sK3))
| v1_xboole_0(u1_struct_0(sK3))
| ~ m1_subset_1(X0,k4_autgroup(sK3)) )
| ~ spl30_144
| ~ spl30_221 ),
inference(resolution,[],[f1643,f1170]) ).
fof(f2001,plain,
( spl30_143
| ~ spl30_218
| ~ spl30_145
| ~ spl30_274
| ~ spl30_122
| ~ spl30_173 ),
inference(avatar_split_clause,[],[f1556,f1357,f1028,f1998,f1173,f1612,f1165]) ).
fof(f1998,plain,
( spl30_274
<=> v1_xboole_0(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_274])]) ).
fof(f1556,plain,
( ~ v1_xboole_0(sK5)
| ~ v1_funct_1(sK5)
| ~ m1_relset_1(sK5,u1_struct_0(sK3),u1_struct_0(sK3))
| v1_xboole_0(u1_struct_0(sK3))
| ~ spl30_122
| ~ spl30_173 ),
inference(duplicate_literal_removal,[],[f1554]) ).
fof(f1554,plain,
( ~ v1_xboole_0(sK5)
| ~ v1_funct_1(sK5)
| ~ m1_relset_1(sK5,u1_struct_0(sK3),u1_struct_0(sK3))
| v1_xboole_0(u1_struct_0(sK3))
| v1_xboole_0(u1_struct_0(sK3))
| ~ spl30_122
| ~ spl30_173 ),
inference(resolution,[],[f1359,f1029]) ).
fof(f1993,plain,
( spl30_273
| ~ spl30_41
| ~ spl30_262 ),
inference(avatar_split_clause,[],[f1957,f1907,f575,f1990]) ).
fof(f1990,plain,
( spl30_273
<=> v1_funct_1(sK10(k4_autgroup(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_273])]) ).
fof(f1907,plain,
( spl30_262
<=> ! [X0] :
( ~ m1_subset_1(X0,k4_autgroup(sK3))
| v1_funct_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_262])]) ).
fof(f1957,plain,
( v1_funct_1(sK10(k4_autgroup(sK3)))
| ~ spl30_41
| ~ spl30_262 ),
inference(resolution,[],[f1908,f576]) ).
fof(f1908,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k4_autgroup(sK3))
| v1_funct_1(X0) )
| ~ spl30_262 ),
inference(avatar_component_clause,[],[f1907]) ).
fof(f1988,plain,
( spl30_272
| ~ spl30_174
| ~ spl30_215 ),
inference(avatar_split_clause,[],[f1622,f1600,f1365,f1986]) ).
fof(f1986,plain,
( spl30_272
<=> ! [X0] :
( ~ r2_hidden(X0,sK5)
| m1_subset_1(X0,k2_zfmisc_1(u1_struct_0(sK3),u1_struct_0(sK3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_272])]) ).
fof(f1365,plain,
( spl30_174
<=> m2_relset_1(sK5,u1_struct_0(sK3),u1_struct_0(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_174])]) ).
fof(f1622,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK5)
| m1_subset_1(X0,k2_zfmisc_1(u1_struct_0(sK3),u1_struct_0(sK3))) )
| ~ spl30_174
| ~ spl30_215 ),
inference(resolution,[],[f1601,f1367]) ).
fof(f1367,plain,
( m2_relset_1(sK5,u1_struct_0(sK3),u1_struct_0(sK3))
| ~ spl30_174 ),
inference(avatar_component_clause,[],[f1365]) ).
fof(f1984,plain,
( spl30_271
| ~ spl30_117
| ~ spl30_138 ),
inference(avatar_split_clause,[],[f1137,f1133,f985,f1982]) ).
fof(f1982,plain,
( spl30_271
<=> ! [X0] :
( ~ m1_subset_1(sK16(u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)),u1_struct_0(k3_autgroup(X0)))
| k3_group_1(k3_autgroup(X0),sK16(u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))) = k2_funct_1(sK16(u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_271])]) ).
fof(f985,plain,
( spl30_117
<=> ! [X2,X0,X1] :
( m2_fraenkel(sK16(X0,X1,X2),X0,X1,X2)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_117])]) ).
fof(f1137,plain,
( ! [X0] :
( ~ m1_subset_1(sK16(u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)),u1_struct_0(k3_autgroup(X0)))
| k3_group_1(k3_autgroup(X0),sK16(u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))) = k2_funct_1(sK16(u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl30_117
| ~ spl30_138 ),
inference(resolution,[],[f1134,f986]) ).
fof(f986,plain,
( ! [X2,X0,X1] :
( m2_fraenkel(sK16(X0,X1,X2),X0,X1,X2)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) )
| ~ spl30_117 ),
inference(avatar_component_clause,[],[f985]) ).
fof(f1976,plain,
( spl30_270
| ~ spl30_128
| ~ spl30_137 ),
inference(avatar_split_clause,[],[f1129,f1123,f1063,f1974]) ).
fof(f1129,plain,
( ! [X2,X0,X1] :
( k3_group_1(X0,k3_group_1(X0,X1)) = k3_group_1(X2,k3_group_1(X0,X1))
| ~ m1_group_2(X0,X2)
| ~ m1_subset_1(k3_group_1(X0,X1),u1_struct_0(X2))
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl30_128
| ~ spl30_137 ),
inference(resolution,[],[f1124,f1064]) ).
fof(f1968,plain,
( spl30_269
| ~ spl30_115
| ~ spl30_138 ),
inference(avatar_split_clause,[],[f1136,f1133,f976,f1966]) ).
fof(f976,plain,
( spl30_115
<=> ! [X0,X3,X2,X1] :
( m2_fraenkel(X3,X0,X1,X2)
| ~ m1_subset_1(X3,X2)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_115])]) ).
fof(f1136,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(k3_autgroup(X1)))
| k2_funct_1(X0) = k3_group_1(k3_autgroup(X1),X0)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X0,k1_autgroup(X1))
| ~ m1_fraenkel(k1_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1))
| v1_xboole_0(u1_struct_0(X1)) )
| ~ spl30_115
| ~ spl30_138 ),
inference(resolution,[],[f1134,f977]) ).
fof(f977,plain,
( ! [X2,X3,X0,X1] :
( m2_fraenkel(X3,X0,X1,X2)
| ~ m1_subset_1(X3,X2)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) )
| ~ spl30_115 ),
inference(avatar_component_clause,[],[f976]) ).
fof(f1964,plain,
( spl30_268
| ~ spl30_121
| ~ spl30_131 ),
inference(avatar_split_clause,[],[f1103,f1089,f1024,f1962]) ).
fof(f1103,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_partfun1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(k2_autgroup(X0))
| ~ m1_relset_1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| v1_xboole_0(k1_autgroup(X0)) )
| ~ spl30_121
| ~ spl30_131 ),
inference(resolution,[],[f1090,f1025]) ).
fof(f1955,plain,
( spl30_267
| ~ spl30_122
| ~ spl30_131 ),
inference(avatar_split_clause,[],[f1102,f1089,f1028,f1953]) ).
fof(f1102,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k2_autgroup(X0))
| ~ v1_funct_1(k2_autgroup(X0))
| ~ m1_relset_1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| v1_xboole_0(k1_autgroup(X0))
| v1_xboole_0(k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0))) )
| ~ spl30_122
| ~ spl30_131 ),
inference(resolution,[],[f1090,f1029]) ).
fof(f1941,plain,
( spl30_266
| ~ spl30_117
| ~ spl30_136 ),
inference(avatar_split_clause,[],[f1128,f1119,f985,f1939]) ).
fof(f1119,plain,
( spl30_136
<=> ! [X0,X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_136])]) ).
fof(f1128,plain,
( ! [X0] :
( m2_fraenkel(sK16(u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)),u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl30_117
| ~ spl30_136 ),
inference(resolution,[],[f1120,f986]) ).
fof(f1120,plain,
( ! [X0,X1] :
( ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
| m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) )
| ~ spl30_136 ),
inference(avatar_component_clause,[],[f1119]) ).
fof(f1925,plain,
( spl30_265
| ~ spl30_115
| ~ spl30_136 ),
inference(avatar_split_clause,[],[f1127,f1119,f976,f1923]) ).
fof(f1127,plain,
( ! [X0,X1] :
( m2_fraenkel(X0,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X0,k4_autgroup(X1))
| ~ m1_fraenkel(k4_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1))
| v1_xboole_0(u1_struct_0(X1)) )
| ~ spl30_115
| ~ spl30_136 ),
inference(resolution,[],[f1120,f977]) ).
fof(f1921,plain,
( spl30_264
| ~ spl30_131
| ~ spl30_133 ),
inference(avatar_split_clause,[],[f1107,f1097,f1089,f1919]) ).
fof(f1107,plain,
( ! [X0] :
( ~ m1_relset_1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v3_struct_0(g1_group_1(k1_autgroup(X0),k2_autgroup(X0)))
| ~ v1_funct_1(k2_autgroup(X0))
| v1_xboole_0(k1_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) )
| ~ spl30_131
| ~ spl30_133 ),
inference(resolution,[],[f1098,f1090]) ).
fof(f1913,plain,
( spl30_263
| ~ spl30_129
| ~ spl30_131 ),
inference(avatar_split_clause,[],[f1101,f1089,f1067,f1911]) ).
fof(f1101,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ m1_relset_1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| v1_group_1(g1_group_1(k1_autgroup(X0),k2_autgroup(X0)))
| ~ v1_funct_1(k2_autgroup(X0)) )
| ~ spl30_129
| ~ spl30_131 ),
inference(resolution,[],[f1090,f1068]) ).
fof(f1909,plain,
( spl30_143
| spl30_262
| ~ spl30_144
| ~ spl30_213 ),
inference(avatar_split_clause,[],[f1597,f1568,f1169,f1907,f1165]) ).
fof(f1597,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k4_autgroup(sK3))
| v1_xboole_0(u1_struct_0(sK3))
| v1_funct_1(X0) )
| ~ spl30_144
| ~ spl30_213 ),
inference(resolution,[],[f1569,f1170]) ).
fof(f1905,plain,
( spl30_261
| ~ spl30_130
| ~ spl30_131 ),
inference(avatar_split_clause,[],[f1100,f1089,f1071,f1903]) ).
fof(f1100,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ m1_relset_1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| l1_group_1(g1_group_1(k1_autgroup(X0),k2_autgroup(X0)))
| ~ v1_funct_1(k2_autgroup(X0)) )
| ~ spl30_130
| ~ spl30_131 ),
inference(resolution,[],[f1090,f1072]) ).
fof(f1896,plain,
( spl30_260
| ~ spl30_41
| ~ spl30_137 ),
inference(avatar_split_clause,[],[f1131,f1123,f575,f1894]) ).
fof(f1131,plain,
( ! [X0,X1] :
( k3_group_1(X0,sK10(u1_struct_0(X0))) = k3_group_1(X1,sK10(u1_struct_0(X0)))
| ~ m1_group_2(X0,X1)
| ~ m1_subset_1(sK10(u1_struct_0(X0)),u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1) )
| ~ spl30_41
| ~ spl30_137 ),
inference(resolution,[],[f1124,f576]) ).
fof(f1892,plain,
( spl30_259
| ~ spl30_106
| ~ spl30_121 ),
inference(avatar_split_clause,[],[f1032,f1024,f928,f1890]) ).
fof(f1032,plain,
( ! [X0] :
( v1_partfun1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(u1_group_1(X0))
| ~ m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_group_1(X0) )
| ~ spl30_106
| ~ spl30_121 ),
inference(resolution,[],[f1025,f929]) ).
fof(f1877,plain,
( spl30_258
| ~ spl30_123
| ~ spl30_128 ),
inference(avatar_split_clause,[],[f1080,f1063,f1036,f1875]) ).
fof(f1080,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| m1_subset_1(k3_group_1(X1,X0),u1_struct_0(X2))
| ~ m1_group_2(X1,X2)
| ~ l1_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2) )
| ~ spl30_123
| ~ spl30_128 ),
inference(resolution,[],[f1064,f1037]) ).
fof(f1873,plain,
( spl30_257
| ~ spl30_106
| ~ spl30_122 ),
inference(avatar_split_clause,[],[f1034,f1028,f928,f1871]) ).
fof(f1034,plain,
( ! [X0] :
( ~ v1_xboole_0(u1_group_1(X0))
| ~ v1_funct_1(u1_group_1(X0))
| ~ m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)))
| ~ l1_group_1(X0) )
| ~ spl30_106
| ~ spl30_122 ),
inference(resolution,[],[f1029,f929]) ).
fof(f1868,plain,
( spl30_256
| ~ spl30_75
| ~ spl30_133 ),
inference(avatar_split_clause,[],[f1105,f1097,f731,f1866]) ).
fof(f731,plain,
( spl30_75
<=> ! [X0,X1] : v1_funct_2(sK15(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_75])]) ).
fof(f1105,plain,
( ! [X0] :
( ~ m1_relset_1(sK15(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v3_struct_0(g1_group_1(X0,sK15(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK15(k2_zfmisc_1(X0,X0),X0))
| v1_xboole_0(X0) )
| ~ spl30_75
| ~ spl30_133 ),
inference(resolution,[],[f1098,f732]) ).
fof(f732,plain,
( ! [X0,X1] : v1_funct_2(sK15(X0,X1),X0,X1)
| ~ spl30_75 ),
inference(avatar_component_clause,[],[f731]) ).
fof(f1861,plain,
( spl30_255
| ~ spl30_61
| ~ spl30_127 ),
inference(avatar_split_clause,[],[f1074,f1059,f665,f1859]) ).
fof(f1074,plain,
( ! [X0] :
( k3_autgroup(k3_autgroup(X0)) = g1_group_1(k1_autgroup(k3_autgroup(X0)),k2_autgroup(k3_autgroup(X0)))
| ~ v4_group_1(k3_autgroup(X0))
| ~ v3_group_1(k3_autgroup(X0))
| ~ v1_group_1(k3_autgroup(X0))
| v3_struct_0(k3_autgroup(X0))
| ~ sP2(X0) )
| ~ spl30_61
| ~ spl30_127 ),
inference(resolution,[],[f1060,f666]) ).
fof(f1857,plain,
( spl30_254
| ~ spl30_109
| ~ spl30_118 ),
inference(avatar_split_clause,[],[f1009,f998,f947,f1855]) ).
fof(f947,plain,
( spl30_109
<=> ! [X0,X1] :
( v4_group_1(X1)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_109])]) ).
fof(f1009,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v4_group_1(k5_autgroup(X0))
| ~ l1_group_1(k3_autgroup(X0))
| ~ v4_group_1(k3_autgroup(X0))
| ~ v3_group_1(k3_autgroup(X0))
| v3_struct_0(k3_autgroup(X0)) )
| ~ spl30_109
| ~ spl30_118 ),
inference(resolution,[],[f999,f948]) ).
fof(f948,plain,
( ! [X0,X1] :
( ~ m1_group_2(X1,X0)
| v4_group_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl30_109 ),
inference(avatar_component_clause,[],[f947]) ).
fof(f1849,plain,
( spl30_253
| ~ spl30_106
| ~ spl30_133 ),
inference(avatar_split_clause,[],[f1106,f1097,f928,f1847]) ).
fof(f1106,plain,
( ! [X0] :
( ~ m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v3_struct_0(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ v1_funct_1(u1_group_1(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_group_1(X0) )
| ~ spl30_106
| ~ spl30_133 ),
inference(resolution,[],[f1098,f929]) ).
fof(f1845,plain,
( spl30_252
| ~ spl30_75
| ~ spl30_130 ),
inference(avatar_split_clause,[],[f1086,f1071,f731,f1843]) ).
fof(f1086,plain,
( ! [X0] :
( ~ m1_relset_1(sK15(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| l1_group_1(g1_group_1(X0,sK15(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK15(k2_zfmisc_1(X0,X0),X0)) )
| ~ spl30_75
| ~ spl30_130 ),
inference(resolution,[],[f1072,f732]) ).
fof(f1841,plain,
( spl30_250
| ~ spl30_251
| ~ spl30_174
| ~ spl30_208 ),
inference(avatar_split_clause,[],[f1577,f1542,f1365,f1838,f1835]) ).
fof(f1835,plain,
( spl30_250
<=> ! [X0] : ~ r2_hidden(X0,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_250])]) ).
fof(f1838,plain,
( spl30_251
<=> v1_xboole_0(k2_zfmisc_1(u1_struct_0(sK3),u1_struct_0(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_251])]) ).
fof(f1577,plain,
( ! [X0] :
( ~ v1_xboole_0(k2_zfmisc_1(u1_struct_0(sK3),u1_struct_0(sK3)))
| ~ r2_hidden(X0,sK5) )
| ~ spl30_174
| ~ spl30_208 ),
inference(resolution,[],[f1543,f1367]) ).
fof(f1833,plain,
( spl30_249
| ~ spl30_75
| ~ spl30_129 ),
inference(avatar_split_clause,[],[f1084,f1067,f731,f1831]) ).
fof(f1084,plain,
( ! [X0] :
( ~ m1_relset_1(sK15(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| v1_group_1(g1_group_1(X0,sK15(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK15(k2_zfmisc_1(X0,X0),X0)) )
| ~ spl30_75
| ~ spl30_129 ),
inference(resolution,[],[f1068,f732]) ).
fof(f1826,plain,
( spl30_248
| ~ spl30_102
| ~ spl30_118 ),
inference(avatar_split_clause,[],[f1012,f998,f893,f1824]) ).
fof(f893,plain,
( spl30_102
<=> ! [X0,X1] :
( ~ v3_struct_0(X1)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_102])]) ).
fof(f1012,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ v3_struct_0(k5_autgroup(X0))
| ~ l1_group_1(k3_autgroup(X0))
| ~ v3_group_1(k3_autgroup(X0))
| v3_struct_0(k3_autgroup(X0)) )
| ~ spl30_102
| ~ spl30_118 ),
inference(resolution,[],[f999,f894]) ).
fof(f894,plain,
( ! [X0,X1] :
( ~ m1_group_2(X1,X0)
| ~ v3_struct_0(X1)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl30_102 ),
inference(avatar_component_clause,[],[f893]) ).
fof(f1822,plain,
( spl30_247
| ~ spl30_103
| ~ spl30_118 ),
inference(avatar_split_clause,[],[f1011,f998,f897,f1820]) ).
fof(f897,plain,
( spl30_103
<=> ! [X0,X1] :
( v3_group_1(X1)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_103])]) ).
fof(f1011,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v3_group_1(k5_autgroup(X0))
| ~ l1_group_1(k3_autgroup(X0))
| ~ v3_group_1(k3_autgroup(X0))
| v3_struct_0(k3_autgroup(X0)) )
| ~ spl30_103
| ~ spl30_118 ),
inference(resolution,[],[f999,f898]) ).
fof(f898,plain,
( ! [X0,X1] :
( ~ m1_group_2(X1,X0)
| v3_group_1(X1)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl30_103 ),
inference(avatar_component_clause,[],[f897]) ).
fof(f1818,plain,
( spl30_246
| ~ spl30_104
| ~ spl30_118 ),
inference(avatar_split_clause,[],[f1010,f998,f901,f1816]) ).
fof(f901,plain,
( spl30_104
<=> ! [X0,X1] :
( l1_group_1(X1)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_104])]) ).
fof(f1010,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| l1_group_1(k5_autgroup(X0))
| ~ l1_group_1(k3_autgroup(X0))
| ~ v3_group_1(k3_autgroup(X0))
| v3_struct_0(k3_autgroup(X0)) )
| ~ spl30_104
| ~ spl30_118 ),
inference(resolution,[],[f999,f902]) ).
fof(f902,plain,
( ! [X0,X1] :
( ~ m1_group_2(X1,X0)
| l1_group_1(X1)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl30_104 ),
inference(avatar_component_clause,[],[f901]) ).
fof(f1807,plain,
( spl30_245
| ~ spl30_106
| ~ spl30_130 ),
inference(avatar_split_clause,[],[f1087,f1071,f928,f1805]) ).
fof(f1087,plain,
( ! [X0] :
( ~ m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| l1_group_1(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0) )
| ~ spl30_106
| ~ spl30_130 ),
inference(resolution,[],[f1072,f929]) ).
fof(f1803,plain,
( spl30_244
| ~ spl30_106
| ~ spl30_129 ),
inference(avatar_split_clause,[],[f1085,f1067,f928,f1801]) ).
fof(f1085,plain,
( ! [X0] :
( ~ m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v1_group_1(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0) )
| ~ spl30_106
| ~ spl30_129 ),
inference(resolution,[],[f1068,f929]) ).
fof(f1799,plain,
( spl30_243
| ~ spl30_90
| ~ spl30_128 ),
inference(avatar_split_clause,[],[f1081,f1063,f809,f1797]) ).
fof(f1081,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| v1_xboole_0(u1_struct_0(X1))
| r2_hidden(k3_group_1(X1,X0),u1_struct_0(X1)) )
| ~ spl30_90
| ~ spl30_128 ),
inference(resolution,[],[f1064,f810]) ).
fof(f1794,plain,
( spl30_242
| ~ spl30_92
| ~ spl30_132 ),
inference(avatar_split_clause,[],[f1104,f1093,f817,f1792]) ).
fof(f1104,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| m1_relset_1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)) )
| ~ spl30_92
| ~ spl30_132 ),
inference(resolution,[],[f1094,f818]) ).
fof(f1776,plain,
( spl30_241
| ~ spl30_79
| ~ spl30_128 ),
inference(avatar_split_clause,[],[f1083,f1063,f750,f1774]) ).
fof(f1083,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| v1_relat_1(k3_group_1(X1,X0))
| ~ v1_fraenkel(u1_struct_0(X1)) )
| ~ spl30_79
| ~ spl30_128 ),
inference(resolution,[],[f1064,f751]) ).
fof(f1772,plain,
( spl30_240
| ~ spl30_80
| ~ spl30_128 ),
inference(avatar_split_clause,[],[f1082,f1063,f754,f1770]) ).
fof(f1082,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| v1_funct_1(k3_group_1(X1,X0))
| ~ v1_fraenkel(u1_struct_0(X1)) )
| ~ spl30_80
| ~ spl30_128 ),
inference(resolution,[],[f1064,f755]) ).
fof(f1767,plain,
( ~ spl30_239
| ~ spl30_67
| ~ spl30_228 ),
inference(avatar_split_clause,[],[f1727,f1691,f698,f1764]) ).
fof(f1764,plain,
( spl30_239
<=> r2_hidden(k4_autgroup(sK3),sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_239])]) ).
fof(f1691,plain,
( spl30_228
<=> r2_hidden(sK5,k4_autgroup(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_228])]) ).
fof(f1727,plain,
( ~ r2_hidden(k4_autgroup(sK3),sK5)
| ~ spl30_67
| ~ spl30_228 ),
inference(resolution,[],[f1693,f699]) ).
fof(f1693,plain,
( r2_hidden(sK5,k4_autgroup(sK3))
| ~ spl30_228 ),
inference(avatar_component_clause,[],[f1691]) ).
fof(f1761,plain,
( spl30_238
| ~ spl30_75
| ~ spl30_122 ),
inference(avatar_split_clause,[],[f1033,f1028,f731,f1759]) ).
fof(f1033,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(sK15(X0,X1))
| ~ v1_funct_1(sK15(X0,X1))
| ~ m1_relset_1(sK15(X0,X1),X0,X1)
| v1_xboole_0(X1)
| v1_xboole_0(X0) )
| ~ spl30_75
| ~ spl30_122 ),
inference(resolution,[],[f1029,f732]) ).
fof(f1757,plain,
( spl30_237
| ~ spl30_75
| ~ spl30_121 ),
inference(avatar_split_clause,[],[f1031,f1024,f731,f1755]) ).
fof(f1031,plain,
( ! [X0,X1] :
( v1_partfun1(sK15(X0,X1),X0,X1)
| ~ v1_funct_1(sK15(X0,X1))
| ~ m1_relset_1(sK15(X0,X1),X0,X1)
| v1_xboole_0(X1) )
| ~ spl30_75
| ~ spl30_121 ),
inference(resolution,[],[f1025,f732]) ).
fof(f1751,plain,
( spl30_236
| ~ spl30_61
| ~ spl30_108 ),
inference(avatar_split_clause,[],[f940,f936,f665,f1749]) ).
fof(f940,plain,
( ! [X0] :
( sP2(k3_autgroup(X0))
| ~ v4_group_1(k3_autgroup(X0))
| ~ v3_group_1(k3_autgroup(X0))
| ~ v1_group_1(k3_autgroup(X0))
| v3_struct_0(k3_autgroup(X0))
| ~ sP2(X0) )
| ~ spl30_61
| ~ spl30_108 ),
inference(resolution,[],[f937,f666]) ).
fof(f1743,plain,
( spl30_22
| ~ spl30_23
| ~ spl30_24
| ~ spl30_25
| spl30_235
| ~ spl30_21
| ~ spl30_127 ),
inference(avatar_split_clause,[],[f1078,f1059,f478,f1740,f498,f493,f488,f483]) ).
fof(f483,plain,
( spl30_22
<=> v3_struct_0(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_22])]) ).
fof(f488,plain,
( spl30_23
<=> v1_group_1(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_23])]) ).
fof(f493,plain,
( spl30_24
<=> v3_group_1(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_24])]) ).
fof(f498,plain,
( spl30_25
<=> v4_group_1(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_25])]) ).
fof(f1078,plain,
( k3_autgroup(sK24) = g1_group_1(k1_autgroup(sK24),k2_autgroup(sK24))
| ~ v4_group_1(sK24)
| ~ v3_group_1(sK24)
| ~ v1_group_1(sK24)
| v3_struct_0(sK24)
| ~ spl30_21
| ~ spl30_127 ),
inference(resolution,[],[f1060,f480]) ).
fof(f480,plain,
( l1_group_1(sK24)
| ~ spl30_21 ),
inference(avatar_component_clause,[],[f478]) ).
fof(f1725,plain,
( spl30_234
| ~ spl30_41
| ~ spl30_123 ),
inference(avatar_split_clause,[],[f1048,f1036,f575,f1723]) ).
fof(f1048,plain,
( ! [X0,X1] :
( m1_subset_1(sK10(u1_struct_0(X0)),u1_struct_0(X1))
| ~ m1_group_2(X0,X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1) )
| ~ spl30_41
| ~ spl30_123 ),
inference(resolution,[],[f1037,f576]) ).
fof(f1721,plain,
( spl30_233
| ~ spl30_61
| ~ spl30_101 ),
inference(avatar_split_clause,[],[f904,f889,f665,f1719]) ).
fof(f904,plain,
( ! [X0] :
( ~ v1_group_1(k3_autgroup(X0))
| k3_autgroup(X0) = g1_group_1(u1_struct_0(k3_autgroup(X0)),u1_group_1(k3_autgroup(X0)))
| ~ sP2(X0) )
| ~ spl30_61
| ~ spl30_101 ),
inference(resolution,[],[f890,f666]) ).
fof(f1717,plain,
( spl30_232
| ~ spl30_90
| ~ spl30_99 ),
inference(avatar_split_clause,[],[f881,f856,f809,f1715]) ).
fof(f856,plain,
( spl30_99
<=> ! [X2,X0,X1] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_99])]) ).
fof(f881,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| r2_hidden(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) )
| ~ spl30_90
| ~ spl30_99 ),
inference(resolution,[],[f857,f810]) ).
fof(f857,plain,
( ! [X2,X0,X1] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) )
| ~ spl30_99 ),
inference(avatar_component_clause,[],[f856]) ).
fof(f1706,plain,
( spl30_231
| ~ spl30_61
| ~ spl30_97 ),
inference(avatar_split_clause,[],[f873,f848,f665,f1704]) ).
fof(f873,plain,
( ! [X0] :
( sP1(k3_autgroup(X0))
| ~ v4_group_1(k3_autgroup(X0))
| ~ v3_group_1(k3_autgroup(X0))
| v3_struct_0(k3_autgroup(X0))
| ~ sP2(X0) )
| ~ spl30_61
| ~ spl30_97 ),
inference(resolution,[],[f849,f666]) ).
fof(f1702,plain,
( spl30_230
| ~ spl30_61
| ~ spl30_96 ),
inference(avatar_split_clause,[],[f867,f844,f665,f1700]) ).
fof(f867,plain,
( ! [X0] :
( sP0(k3_autgroup(X0))
| ~ v4_group_1(k3_autgroup(X0))
| ~ v3_group_1(k3_autgroup(X0))
| v3_struct_0(k3_autgroup(X0))
| ~ sP2(X0) )
| ~ spl30_61
| ~ spl30_96 ),
inference(resolution,[],[f845,f666]) ).
fof(f1698,plain,
( spl30_229
| ~ spl30_90
| ~ spl30_95 ),
inference(avatar_split_clause,[],[f864,f840,f809,f1696]) ).
fof(f840,plain,
( spl30_95
<=> ! [X0] :
( m1_subset_1(sK6(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_95])]) ).
fof(f864,plain,
( ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK6(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ spl30_90
| ~ spl30_95 ),
inference(resolution,[],[f841,f810]) ).
fof(f841,plain,
( ! [X0] :
( m1_subset_1(sK6(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) )
| ~ spl30_95 ),
inference(avatar_component_clause,[],[f840]) ).
fof(f1694,plain,
( spl30_228
| spl30_187
| ~ spl30_90
| ~ spl30_171 ),
inference(avatar_split_clause,[],[f1349,f1337,f809,f1423,f1691]) ).
fof(f1423,plain,
( spl30_187
<=> v1_xboole_0(k4_autgroup(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_187])]) ).
fof(f1337,plain,
( spl30_171
<=> m1_subset_1(sK5,k4_autgroup(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_171])]) ).
fof(f1349,plain,
( v1_xboole_0(k4_autgroup(sK3))
| r2_hidden(sK5,k4_autgroup(sK3))
| ~ spl30_90
| ~ spl30_171 ),
inference(resolution,[],[f1339,f810]) ).
fof(f1339,plain,
( m1_subset_1(sK5,k4_autgroup(sK3))
| ~ spl30_171 ),
inference(avatar_component_clause,[],[f1337]) ).
fof(f1669,plain,
( spl30_227
| ~ spl30_76
| ~ spl30_125 ),
inference(avatar_split_clause,[],[f1057,f1044,f735,f1667]) ).
fof(f1667,plain,
( spl30_227
<=> ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k1_autgroup(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_227])]) ).
fof(f1057,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k1_autgroup(X0)) )
| ~ spl30_76
| ~ spl30_125 ),
inference(resolution,[],[f1045,f736]) ).
fof(f1665,plain,
( spl30_226
| ~ spl30_77
| ~ spl30_125 ),
inference(avatar_split_clause,[],[f1056,f1044,f739,f1663]) ).
fof(f1663,plain,
( spl30_226
<=> ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_fraenkel(k1_autgroup(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_226])]) ).
fof(f1056,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_fraenkel(k1_autgroup(X0)) )
| ~ spl30_77
| ~ spl30_125 ),
inference(resolution,[],[f1045,f740]) ).
fof(f1661,plain,
( spl30_225
| ~ spl30_76
| ~ spl30_124 ),
inference(avatar_split_clause,[],[f1050,f1040,f735,f1659]) ).
fof(f1659,plain,
( spl30_225
<=> ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k4_autgroup(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_225])]) ).
fof(f1050,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k4_autgroup(X0)) )
| ~ spl30_76
| ~ spl30_124 ),
inference(resolution,[],[f1041,f736]) ).
fof(f1656,plain,
( spl30_224
| ~ spl30_77
| ~ spl30_124 ),
inference(avatar_split_clause,[],[f1049,f1040,f739,f1654]) ).
fof(f1654,plain,
( spl30_224
<=> ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_fraenkel(k4_autgroup(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_224])]) ).
fof(f1049,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_fraenkel(k4_autgroup(X0)) )
| ~ spl30_77
| ~ spl30_124 ),
inference(resolution,[],[f1041,f740]) ).
fof(f1652,plain,
( spl30_223
| ~ spl30_115
| ~ spl30_120 ),
inference(avatar_split_clause,[],[f1022,f1006,f976,f1650]) ).
fof(f1006,plain,
( spl30_120
<=> ! [X0,X3,X2,X1] :
( m2_relset_1(X3,X0,X1)
| ~ m2_fraenkel(X3,X0,X1,X2)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_120])]) ).
fof(f1022,plain,
( ! [X2,X3,X0,X1] :
( m2_relset_1(X0,X1,X2)
| ~ m1_fraenkel(X3,X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X0,X3) )
| ~ spl30_115
| ~ spl30_120 ),
inference(duplicate_literal_removal,[],[f1019]) ).
fof(f1019,plain,
( ! [X2,X3,X0,X1] :
( m2_relset_1(X0,X1,X2)
| ~ m1_fraenkel(X3,X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X0,X3)
| ~ m1_fraenkel(X3,X1,X2)
| v1_xboole_0(X2) )
| ~ spl30_115
| ~ spl30_120 ),
inference(resolution,[],[f1007,f977]) ).
fof(f1007,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_fraenkel(X3,X0,X1,X2)
| m2_relset_1(X3,X0,X1)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) )
| ~ spl30_120 ),
inference(avatar_component_clause,[],[f1006]) ).
fof(f1648,plain,
( spl30_222
| ~ spl30_117
| ~ spl30_120 ),
inference(avatar_split_clause,[],[f1021,f1006,f985,f1646]) ).
fof(f1021,plain,
( ! [X2,X0,X1] :
( m2_relset_1(sK16(X0,X1,X2),X0,X1)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) )
| ~ spl30_117
| ~ spl30_120 ),
inference(duplicate_literal_removal,[],[f1020]) ).
fof(f1020,plain,
( ! [X2,X0,X1] :
( m2_relset_1(sK16(X0,X1,X2),X0,X1)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) )
| ~ spl30_117
| ~ spl30_120 ),
inference(resolution,[],[f1007,f986]) ).
fof(f1644,plain,
( spl30_221
| ~ spl30_115
| ~ spl30_119 ),
inference(avatar_split_clause,[],[f1017,f1002,f976,f1642]) ).
fof(f1002,plain,
( spl30_119
<=> ! [X0,X3,X2,X1] :
( v1_funct_2(X3,X0,X1)
| ~ m2_fraenkel(X3,X0,X1,X2)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_119])]) ).
fof(f1017,plain,
( ! [X2,X3,X0,X1] :
( v1_funct_2(X0,X1,X2)
| ~ m1_fraenkel(X3,X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X0,X3) )
| ~ spl30_115
| ~ spl30_119 ),
inference(duplicate_literal_removal,[],[f1014]) ).
fof(f1014,plain,
( ! [X2,X3,X0,X1] :
( v1_funct_2(X0,X1,X2)
| ~ m1_fraenkel(X3,X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X0,X3)
| ~ m1_fraenkel(X3,X1,X2)
| v1_xboole_0(X2) )
| ~ spl30_115
| ~ spl30_119 ),
inference(resolution,[],[f1003,f977]) ).
fof(f1003,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_fraenkel(X3,X0,X1,X2)
| v1_funct_2(X3,X0,X1)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) )
| ~ spl30_119 ),
inference(avatar_component_clause,[],[f1002]) ).
fof(f1640,plain,
( spl30_220
| ~ spl30_117
| ~ spl30_119 ),
inference(avatar_split_clause,[],[f1016,f1002,f985,f1638]) ).
fof(f1016,plain,
( ! [X2,X0,X1] :
( v1_funct_2(sK16(X0,X1,X2),X0,X1)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) )
| ~ spl30_117
| ~ spl30_119 ),
inference(duplicate_literal_removal,[],[f1015]) ).
fof(f1015,plain,
( ! [X2,X0,X1] :
( v1_funct_2(sK16(X0,X1,X2),X0,X1)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) )
| ~ spl30_117
| ~ spl30_119 ),
inference(resolution,[],[f1003,f986]) ).
fof(f1619,plain,
( spl30_219
| ~ spl30_114
| ~ spl30_117 ),
inference(avatar_split_clause,[],[f996,f985,f972,f1617]) ).
fof(f996,plain,
( ! [X2,X0,X1] :
( ~ m1_fraenkel(X0,X1,X2)
| v1_xboole_0(X2)
| m1_subset_1(sK16(X1,X2,X0),X0) )
| ~ spl30_114
| ~ spl30_117 ),
inference(duplicate_literal_removal,[],[f993]) ).
fof(f993,plain,
( ! [X2,X0,X1] :
( ~ m1_fraenkel(X0,X1,X2)
| v1_xboole_0(X2)
| m1_subset_1(sK16(X1,X2,X0),X0)
| ~ m1_fraenkel(X0,X1,X2)
| v1_xboole_0(X2) )
| ~ spl30_114
| ~ spl30_117 ),
inference(resolution,[],[f986,f973]) ).
fof(f1615,plain,
( spl30_218
| ~ spl30_92
| ~ spl30_174 ),
inference(avatar_split_clause,[],[f1558,f1365,f817,f1612]) ).
fof(f1558,plain,
( m1_relset_1(sK5,u1_struct_0(sK3),u1_struct_0(sK3))
| ~ spl30_92
| ~ spl30_174 ),
inference(resolution,[],[f1367,f818]) ).
fof(f1610,plain,
( spl30_217
| ~ spl30_92
| ~ spl30_107 ),
inference(avatar_split_clause,[],[f939,f932,f817,f1608]) ).
fof(f939,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) )
| ~ spl30_92
| ~ spl30_107 ),
inference(resolution,[],[f933,f818]) ).
fof(f1606,plain,
( spl30_216
| ~ spl30_95
| ~ spl30_100 ),
inference(avatar_split_clause,[],[f886,f860,f840,f1604]) ).
fof(f886,plain,
( ! [X0,X1] :
( m1_subset_1(X0,u1_struct_0(X1))
| ~ r2_hidden(X0,sK6(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1) )
| ~ spl30_95
| ~ spl30_100 ),
inference(resolution,[],[f861,f841]) ).
fof(f1602,plain,
( spl30_215
| ~ spl30_99
| ~ spl30_100 ),
inference(avatar_split_clause,[],[f885,f860,f856,f1600]) ).
fof(f885,plain,
( ! [X2,X3,X0,X1] :
( m1_subset_1(X0,k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X0,X3)
| ~ m2_relset_1(X3,X1,X2) )
| ~ spl30_99
| ~ spl30_100 ),
inference(resolution,[],[f861,f857]) ).
fof(f1582,plain,
( spl30_89
| ~ spl30_166
| ~ spl30_174 ),
inference(avatar_split_clause,[],[f1557,f1365,f1282,f796]) ).
fof(f796,plain,
( spl30_89
<=> v1_relat_1(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_89])]) ).
fof(f1557,plain,
( v1_relat_1(sK5)
| ~ spl30_166
| ~ spl30_174 ),
inference(resolution,[],[f1367,f1283]) ).
fof(f1574,plain,
( spl30_214
| ~ spl30_112
| ~ spl30_117 ),
inference(avatar_split_clause,[],[f995,f985,f959,f1572]) ).
fof(f1572,plain,
( spl30_214
<=> ! [X2,X0,X1] :
( ~ m1_fraenkel(X0,X1,X2)
| v1_xboole_0(X2)
| v1_funct_1(sK16(X1,X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_214])]) ).
fof(f959,plain,
( spl30_112
<=> ! [X0,X3,X2,X1] :
( v1_funct_1(X3)
| ~ m2_fraenkel(X3,X0,X1,X2)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_112])]) ).
fof(f995,plain,
( ! [X2,X0,X1] :
( ~ m1_fraenkel(X0,X1,X2)
| v1_xboole_0(X2)
| v1_funct_1(sK16(X1,X2,X0)) )
| ~ spl30_112
| ~ spl30_117 ),
inference(duplicate_literal_removal,[],[f994]) ).
fof(f994,plain,
( ! [X2,X0,X1] :
( ~ m1_fraenkel(X0,X1,X2)
| v1_xboole_0(X2)
| v1_funct_1(sK16(X1,X2,X0))
| ~ m1_fraenkel(X0,X1,X2)
| v1_xboole_0(X2) )
| ~ spl30_112
| ~ spl30_117 ),
inference(resolution,[],[f986,f960]) ).
fof(f960,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_fraenkel(X3,X0,X1,X2)
| v1_funct_1(X3)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) )
| ~ spl30_112 ),
inference(avatar_component_clause,[],[f959]) ).
fof(f1570,plain,
( spl30_213
| ~ spl30_112
| ~ spl30_115 ),
inference(avatar_split_clause,[],[f991,f976,f959,f1568]) ).
fof(f991,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,X1)
| ~ m1_fraenkel(X1,X2,X3)
| v1_xboole_0(X3)
| v1_funct_1(X0) )
| ~ spl30_112
| ~ spl30_115 ),
inference(duplicate_literal_removal,[],[f990]) ).
fof(f990,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,X1)
| ~ m1_fraenkel(X1,X2,X3)
| v1_xboole_0(X3)
| v1_funct_1(X0)
| ~ m1_fraenkel(X1,X2,X3)
| v1_xboole_0(X3) )
| ~ spl30_112
| ~ spl30_115 ),
inference(resolution,[],[f977,f960]) ).
fof(f1566,plain,
( spl30_212
| ~ spl30_98
| ~ spl30_109 ),
inference(avatar_split_clause,[],[f965,f947,f852,f1564]) ).
fof(f1564,plain,
( spl30_212
<=> ! [X0] :
( v4_group_1(sK9(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_212])]) ).
fof(f852,plain,
( spl30_98
<=> ! [X0] :
( m1_group_2(sK9(X0),X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_98])]) ).
fof(f965,plain,
( ! [X0] :
( v4_group_1(sK9(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl30_98
| ~ spl30_109 ),
inference(duplicate_literal_removal,[],[f964]) ).
fof(f964,plain,
( ! [X0] :
( v4_group_1(sK9(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl30_98
| ~ spl30_109 ),
inference(resolution,[],[f948,f853]) ).
fof(f853,plain,
( ! [X0] :
( m1_group_2(sK9(X0),X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl30_98 ),
inference(avatar_component_clause,[],[f852]) ).
fof(f1562,plain,
( spl30_211
| ~ spl30_66
| ~ spl30_104 ),
inference(avatar_split_clause,[],[f924,f901,f694,f1560]) ).
fof(f694,plain,
( spl30_66
<=> ! [X0] :
( m1_group_2(sK8(X0),X0)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_66])]) ).
fof(f924,plain,
( ! [X0] :
( l1_group_1(sK8(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ sP1(X0) )
| ~ spl30_66
| ~ spl30_104 ),
inference(resolution,[],[f902,f695]) ).
fof(f695,plain,
( ! [X0] :
( m1_group_2(sK8(X0),X0)
| ~ sP1(X0) )
| ~ spl30_66 ),
inference(avatar_component_clause,[],[f694]) ).
fof(f1553,plain,
( spl30_1
| ~ spl30_46
| ~ spl30_81
| ~ spl30_143 ),
inference(avatar_split_clause,[],[f1309,f1165,f758,f604,f378]) ).
fof(f604,plain,
( spl30_46
<=> l1_struct_0(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_46])]) ).
fof(f758,plain,
( spl30_81
<=> ! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_81])]) ).
fof(f1309,plain,
( ~ l1_struct_0(sK3)
| v3_struct_0(sK3)
| ~ spl30_81
| ~ spl30_143 ),
inference(resolution,[],[f1167,f759]) ).
fof(f759,plain,
( ! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) )
| ~ spl30_81 ),
inference(avatar_component_clause,[],[f758]) ).
fof(f1167,plain,
( v1_xboole_0(u1_struct_0(sK3))
| ~ spl30_143 ),
inference(avatar_component_clause,[],[f1165]) ).
fof(f1552,plain,
( spl30_210
| ~ spl30_65
| ~ spl30_104 ),
inference(avatar_split_clause,[],[f923,f901,f690,f1550]) ).
fof(f690,plain,
( spl30_65
<=> ! [X0] :
( m1_group_2(sK7(X0),X0)
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_65])]) ).
fof(f923,plain,
( ! [X0] :
( l1_group_1(sK7(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ sP0(X0) )
| ~ spl30_65
| ~ spl30_104 ),
inference(resolution,[],[f902,f691]) ).
fof(f691,plain,
( ! [X0] :
( m1_group_2(sK7(X0),X0)
| ~ sP0(X0) )
| ~ spl30_65 ),
inference(avatar_component_clause,[],[f690]) ).
fof(f1548,plain,
( spl30_209
| ~ spl30_80
| ~ spl30_99 ),
inference(avatar_split_clause,[],[f882,f856,f754,f1546]) ).
fof(f1546,plain,
( spl30_209
<=> ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_funct_1(X0)
| ~ v1_fraenkel(k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_209])]) ).
fof(f882,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_funct_1(X0)
| ~ v1_fraenkel(k1_zfmisc_1(k2_zfmisc_1(X1,X2))) )
| ~ spl30_80
| ~ spl30_99 ),
inference(resolution,[],[f857,f755]) ).
fof(f1544,plain,
( spl30_208
| ~ spl30_94
| ~ spl30_99 ),
inference(avatar_split_clause,[],[f880,f856,f834,f1542]) ).
fof(f880,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| ~ v1_xboole_0(k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X3,X0) )
| ~ spl30_94
| ~ spl30_99 ),
inference(resolution,[],[f857,f835]) ).
fof(f1540,plain,
( spl30_207
| ~ spl30_79
| ~ spl30_95 ),
inference(avatar_split_clause,[],[f866,f840,f750,f1538]) ).
fof(f1538,plain,
( spl30_207
<=> ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_relat_1(sK6(X0))
| ~ v1_fraenkel(k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_207])]) ).
fof(f866,plain,
( ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_relat_1(sK6(X0))
| ~ v1_fraenkel(k1_zfmisc_1(u1_struct_0(X0))) )
| ~ spl30_79
| ~ spl30_95 ),
inference(resolution,[],[f841,f751]) ).
fof(f1536,plain,
( spl30_206
| ~ spl30_80
| ~ spl30_95 ),
inference(avatar_split_clause,[],[f865,f840,f754,f1534]) ).
fof(f1534,plain,
( spl30_206
<=> ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_funct_1(sK6(X0))
| ~ v1_fraenkel(k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_206])]) ).
fof(f865,plain,
( ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_funct_1(sK6(X0))
| ~ v1_fraenkel(k1_zfmisc_1(u1_struct_0(X0))) )
| ~ spl30_80
| ~ spl30_95 ),
inference(resolution,[],[f841,f755]) ).
fof(f1529,plain,
( spl30_22
| ~ spl30_23
| ~ spl30_24
| ~ spl30_25
| spl30_205
| ~ spl30_21
| ~ spl30_108 ),
inference(avatar_split_clause,[],[f944,f936,f478,f1526,f498,f493,f488,f483]) ).
fof(f1526,plain,
( spl30_205
<=> sP2(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_205])]) ).
fof(f944,plain,
( sP2(sK24)
| ~ v4_group_1(sK24)
| ~ v3_group_1(sK24)
| ~ v1_group_1(sK24)
| v3_struct_0(sK24)
| ~ spl30_21
| ~ spl30_108 ),
inference(resolution,[],[f937,f480]) ).
fof(f1524,plain,
( spl30_204
| ~ spl30_86
| ~ spl30_90 ),
inference(avatar_split_clause,[],[f826,f809,f780,f1522]) ).
fof(f780,plain,
( spl30_86
<=> ! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_86])]) ).
fof(f826,plain,
( ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(X1,k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X0) )
| ~ spl30_86
| ~ spl30_90 ),
inference(resolution,[],[f810,f781]) ).
fof(f781,plain,
( ! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) )
| ~ spl30_86 ),
inference(avatar_component_clause,[],[f780]) ).
fof(f1513,plain,
( spl30_203
| ~ spl30_98
| ~ spl30_104 ),
inference(avatar_split_clause,[],[f926,f901,f852,f1511]) ).
fof(f926,plain,
( ! [X0] :
( l1_group_1(sK9(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl30_98
| ~ spl30_104 ),
inference(duplicate_literal_removal,[],[f925]) ).
fof(f925,plain,
( ! [X0] :
( l1_group_1(sK9(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl30_98
| ~ spl30_104 ),
inference(resolution,[],[f902,f853]) ).
fof(f1509,plain,
( spl30_202
| ~ spl30_98
| ~ spl30_103 ),
inference(avatar_split_clause,[],[f922,f897,f852,f1507]) ).
fof(f1507,plain,
( spl30_202
<=> ! [X0] :
( v3_group_1(sK9(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_202])]) ).
fof(f922,plain,
( ! [X0] :
( v3_group_1(sK9(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl30_98
| ~ spl30_103 ),
inference(duplicate_literal_removal,[],[f921]) ).
fof(f921,plain,
( ! [X0] :
( v3_group_1(sK9(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl30_98
| ~ spl30_103 ),
inference(resolution,[],[f898,f853]) ).
fof(f1505,plain,
( spl30_201
| ~ spl30_98
| ~ spl30_102 ),
inference(avatar_split_clause,[],[f918,f893,f852,f1503]) ).
fof(f1503,plain,
( spl30_201
<=> ! [X0] :
( ~ v3_struct_0(sK9(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_201])]) ).
fof(f918,plain,
( ! [X0] :
( ~ v3_struct_0(sK9(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl30_98
| ~ spl30_102 ),
inference(duplicate_literal_removal,[],[f917]) ).
fof(f917,plain,
( ! [X0] :
( ~ v3_struct_0(sK9(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl30_98
| ~ spl30_102 ),
inference(resolution,[],[f894,f853]) ).
fof(f1497,plain,
( spl30_200
| ~ spl30_27
| ~ spl30_26
| ~ spl30_101 ),
inference(avatar_split_clause,[],[f909,f889,f503,f508,f1494]) ).
fof(f508,plain,
( spl30_27
<=> v1_group_1(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_27])]) ).
fof(f909,plain,
( ~ v1_group_1(sK25)
| sK25 = g1_group_1(u1_struct_0(sK25),u1_group_1(sK25))
| ~ spl30_26
| ~ spl30_101 ),
inference(resolution,[],[f890,f505]) ).
fof(f505,plain,
( l1_group_1(sK25)
| ~ spl30_26 ),
inference(avatar_component_clause,[],[f503]) ).
fof(f1488,plain,
( spl30_199
| ~ spl30_23
| ~ spl30_21
| ~ spl30_101 ),
inference(avatar_split_clause,[],[f908,f889,f478,f488,f1485]) ).
fof(f908,plain,
( ~ v1_group_1(sK24)
| sK24 = g1_group_1(u1_struct_0(sK24),u1_group_1(sK24))
| ~ spl30_21
| ~ spl30_101 ),
inference(resolution,[],[f890,f480]) ).
fof(f1479,plain,
( spl30_198
| ~ spl30_20
| ~ spl30_18
| ~ spl30_101 ),
inference(avatar_split_clause,[],[f907,f889,f463,f473,f1476]) ).
fof(f473,plain,
( spl30_20
<=> v1_group_1(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_20])]) ).
fof(f907,plain,
( ~ v1_group_1(sK23)
| sK23 = g1_group_1(u1_struct_0(sK23),u1_group_1(sK23))
| ~ spl30_18
| ~ spl30_101 ),
inference(resolution,[],[f890,f465]) ).
fof(f465,plain,
( l1_group_1(sK23)
| ~ spl30_18 ),
inference(avatar_component_clause,[],[f463]) ).
fof(f1474,plain,
( spl30_196
| ~ spl30_197
| ~ spl30_12
| ~ spl30_101 ),
inference(avatar_split_clause,[],[f906,f889,f433,f1471,f1467]) ).
fof(f1467,plain,
( spl30_196
<=> sK19 = g1_group_1(u1_struct_0(sK19),u1_group_1(sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_196])]) ).
fof(f1471,plain,
( spl30_197
<=> v1_group_1(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_197])]) ).
fof(f433,plain,
( spl30_12
<=> l1_group_1(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_12])]) ).
fof(f906,plain,
( ~ v1_group_1(sK19)
| sK19 = g1_group_1(u1_struct_0(sK19),u1_group_1(sK19))
| ~ spl30_12
| ~ spl30_101 ),
inference(resolution,[],[f890,f435]) ).
fof(f435,plain,
( l1_group_1(sK19)
| ~ spl30_12 ),
inference(avatar_component_clause,[],[f433]) ).
fof(f1465,plain,
( spl30_195
| ~ spl30_86
| ~ spl30_100 ),
inference(avatar_split_clause,[],[f884,f860,f780,f1463]) ).
fof(f1463,plain,
( spl30_195
<=> ! [X2,X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X2)
| ~ r1_tarski(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_195])]) ).
fof(f884,plain,
( ! [X2,X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X2)
| ~ r1_tarski(X2,X1) )
| ~ spl30_86
| ~ spl30_100 ),
inference(resolution,[],[f861,f781]) ).
fof(f1457,plain,
( spl30_194
| ~ spl30_41
| ~ spl30_100 ),
inference(avatar_split_clause,[],[f887,f860,f575,f1455]) ).
fof(f887,plain,
( ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK10(k1_zfmisc_1(X1))) )
| ~ spl30_41
| ~ spl30_100 ),
inference(resolution,[],[f861,f576]) ).
fof(f1453,plain,
( spl30_22
| ~ spl30_24
| ~ spl30_25
| spl30_193
| ~ spl30_21
| ~ spl30_97 ),
inference(avatar_split_clause,[],[f877,f848,f478,f1450,f498,f493,f483]) ).
fof(f1450,plain,
( spl30_193
<=> sP1(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_193])]) ).
fof(f877,plain,
( sP1(sK24)
| ~ v4_group_1(sK24)
| ~ v3_group_1(sK24)
| v3_struct_0(sK24)
| ~ spl30_21
| ~ spl30_97 ),
inference(resolution,[],[f849,f480]) ).
fof(f1448,plain,
( spl30_189
| ~ spl30_190
| ~ spl30_191
| spl30_192
| ~ spl30_26
| ~ spl30_96 ),
inference(avatar_split_clause,[],[f872,f844,f503,f1445,f1441,f1437,f1433]) ).
fof(f1433,plain,
( spl30_189
<=> v3_struct_0(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_189])]) ).
fof(f1437,plain,
( spl30_190
<=> v3_group_1(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_190])]) ).
fof(f1441,plain,
( spl30_191
<=> v4_group_1(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_191])]) ).
fof(f1445,plain,
( spl30_192
<=> sP0(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_192])]) ).
fof(f872,plain,
( sP0(sK25)
| ~ v4_group_1(sK25)
| ~ v3_group_1(sK25)
| v3_struct_0(sK25)
| ~ spl30_26
| ~ spl30_96 ),
inference(resolution,[],[f845,f505]) ).
fof(f1431,plain,
( spl30_22
| ~ spl30_24
| ~ spl30_25
| spl30_188
| ~ spl30_21
| ~ spl30_96 ),
inference(avatar_split_clause,[],[f871,f844,f478,f1428,f498,f493,f483]) ).
fof(f1428,plain,
( spl30_188
<=> sP0(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_188])]) ).
fof(f871,plain,
( sP0(sK24)
| ~ v4_group_1(sK24)
| ~ v3_group_1(sK24)
| v3_struct_0(sK24)
| ~ spl30_21
| ~ spl30_96 ),
inference(resolution,[],[f845,f480]) ).
fof(f1426,plain,
( ~ spl30_187
| ~ spl30_76
| ~ spl30_144 ),
inference(avatar_split_clause,[],[f1318,f1169,f735,f1423]) ).
fof(f1318,plain,
( ~ v1_xboole_0(k4_autgroup(sK3))
| ~ spl30_76
| ~ spl30_144 ),
inference(resolution,[],[f1170,f736]) ).
fof(f1421,plain,
( spl30_19
| ~ spl30_184
| ~ spl30_185
| spl30_186
| ~ spl30_18
| ~ spl30_96 ),
inference(avatar_split_clause,[],[f870,f844,f463,f1418,f1414,f1410,f468]) ).
fof(f468,plain,
( spl30_19
<=> v3_struct_0(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_19])]) ).
fof(f1410,plain,
( spl30_184
<=> v3_group_1(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_184])]) ).
fof(f1414,plain,
( spl30_185
<=> v4_group_1(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_185])]) ).
fof(f1418,plain,
( spl30_186
<=> sP0(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_186])]) ).
fof(f870,plain,
( sP0(sK23)
| ~ v4_group_1(sK23)
| ~ v3_group_1(sK23)
| v3_struct_0(sK23)
| ~ spl30_18
| ~ spl30_96 ),
inference(resolution,[],[f845,f465]) ).
fof(f1408,plain,
( spl30_180
| ~ spl30_181
| ~ spl30_182
| spl30_183
| ~ spl30_12
| ~ spl30_96 ),
inference(avatar_split_clause,[],[f869,f844,f433,f1405,f1401,f1397,f1393]) ).
fof(f1393,plain,
( spl30_180
<=> v3_struct_0(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_180])]) ).
fof(f1397,plain,
( spl30_181
<=> v3_group_1(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_181])]) ).
fof(f1401,plain,
( spl30_182
<=> v4_group_1(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_182])]) ).
fof(f1405,plain,
( spl30_183
<=> sP0(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_183])]) ).
fof(f869,plain,
( sP0(sK19)
| ~ v4_group_1(sK19)
| ~ v3_group_1(sK19)
| v3_struct_0(sK19)
| ~ spl30_12
| ~ spl30_96 ),
inference(resolution,[],[f845,f435]) ).
fof(f1391,plain,
( spl30_179
| ~ spl30_86
| ~ spl30_94 ),
inference(avatar_split_clause,[],[f838,f834,f780,f1389]) ).
fof(f1389,plain,
( spl30_179
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,X2)
| ~ r1_tarski(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_179])]) ).
fof(f838,plain,
( ! [X2,X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,X2)
| ~ r1_tarski(X2,X0) )
| ~ spl30_86
| ~ spl30_94 ),
inference(resolution,[],[f835,f781]) ).
fof(f1387,plain,
( spl30_178
| ~ spl30_77
| ~ spl30_144 ),
inference(avatar_split_clause,[],[f1317,f1169,f739,f1384]) ).
fof(f1384,plain,
( spl30_178
<=> v1_fraenkel(k4_autgroup(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_178])]) ).
fof(f1317,plain,
( v1_fraenkel(k4_autgroup(sK3))
| ~ spl30_77
| ~ spl30_144 ),
inference(resolution,[],[f1170,f740]) ).
fof(f1382,plain,
( spl30_177
| ~ spl30_79
| ~ spl30_86 ),
inference(avatar_split_clause,[],[f801,f780,f750,f1380]) ).
fof(f801,plain,
( ! [X0,X1] :
( ~ r1_tarski(X0,X1)
| v1_relat_1(X0)
| ~ v1_fraenkel(k1_zfmisc_1(X1)) )
| ~ spl30_79
| ~ spl30_86 ),
inference(resolution,[],[f781,f751]) ).
fof(f1378,plain,
( spl30_176
| ~ spl30_80
| ~ spl30_86 ),
inference(avatar_split_clause,[],[f800,f780,f754,f1376]) ).
fof(f800,plain,
( ! [X0,X1] :
( ~ r1_tarski(X0,X1)
| v1_funct_1(X0)
| ~ v1_fraenkel(k1_zfmisc_1(X1)) )
| ~ spl30_80
| ~ spl30_86 ),
inference(resolution,[],[f781,f755]) ).
fof(f1374,plain,
( ~ spl30_175
| ~ spl30_48
| ~ spl30_143
| ~ spl30_146
| spl30_174 ),
inference(avatar_split_clause,[],[f1369,f1365,f1179,f1165,f613,f1371]) ).
fof(f1371,plain,
( spl30_175
<=> m2_relset_1(sK5,sK20,sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_175])]) ).
fof(f613,plain,
( spl30_48
<=> ! [X0] :
( k1_xboole_0 = X0
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_48])]) ).
fof(f1179,plain,
( spl30_146
<=> k1_xboole_0 = sK20 ),
introduced(avatar_definition,[new_symbols(naming,[spl30_146])]) ).
fof(f1369,plain,
( ~ m2_relset_1(sK5,sK20,sK20)
| ~ spl30_48
| ~ spl30_143
| ~ spl30_146
| spl30_174 ),
inference(forward_demodulation,[],[f1366,f1341]) ).
fof(f1341,plain,
( u1_struct_0(sK3) = sK20
| ~ spl30_48
| ~ spl30_143
| ~ spl30_146 ),
inference(forward_demodulation,[],[f1312,f1181]) ).
fof(f1181,plain,
( k1_xboole_0 = sK20
| ~ spl30_146 ),
inference(avatar_component_clause,[],[f1179]) ).
fof(f1312,plain,
( k1_xboole_0 = u1_struct_0(sK3)
| ~ spl30_48
| ~ spl30_143 ),
inference(resolution,[],[f1167,f614]) ).
fof(f614,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| k1_xboole_0 = X0 )
| ~ spl30_48 ),
inference(avatar_component_clause,[],[f613]) ).
fof(f1366,plain,
( ~ m2_relset_1(sK5,u1_struct_0(sK3),u1_struct_0(sK3))
| spl30_174 ),
inference(avatar_component_clause,[],[f1365]) ).
fof(f1368,plain,
( spl30_143
| ~ spl30_144
| spl30_174
| ~ spl30_8
| ~ spl30_120 ),
inference(avatar_split_clause,[],[f1018,f1006,f413,f1365,f1169,f1165]) ).
fof(f413,plain,
( spl30_8
<=> m2_fraenkel(sK5,u1_struct_0(sK3),u1_struct_0(sK3),k4_autgroup(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_8])]) ).
fof(f1018,plain,
( m2_relset_1(sK5,u1_struct_0(sK3),u1_struct_0(sK3))
| ~ m1_fraenkel(k4_autgroup(sK3),u1_struct_0(sK3),u1_struct_0(sK3))
| v1_xboole_0(u1_struct_0(sK3))
| ~ spl30_8
| ~ spl30_120 ),
inference(resolution,[],[f1007,f415]) ).
fof(f415,plain,
( m2_fraenkel(sK5,u1_struct_0(sK3),u1_struct_0(sK3),k4_autgroup(sK3))
| ~ spl30_8 ),
inference(avatar_component_clause,[],[f413]) ).
fof(f1360,plain,
( spl30_143
| ~ spl30_144
| spl30_173
| ~ spl30_8
| ~ spl30_119 ),
inference(avatar_split_clause,[],[f1013,f1002,f413,f1357,f1169,f1165]) ).
fof(f1013,plain,
( v1_funct_2(sK5,u1_struct_0(sK3),u1_struct_0(sK3))
| ~ m1_fraenkel(k4_autgroup(sK3),u1_struct_0(sK3),u1_struct_0(sK3))
| v1_xboole_0(u1_struct_0(sK3))
| ~ spl30_8
| ~ spl30_119 ),
inference(resolution,[],[f1003,f415]) ).
fof(f1348,plain,
( spl30_172
| ~ spl30_40
| ~ spl30_143 ),
inference(avatar_split_clause,[],[f1313,f1165,f571,f1345]) ).
fof(f1345,plain,
( spl30_172
<=> v1_funct_1(u1_struct_0(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_172])]) ).
fof(f571,plain,
( spl30_40
<=> ! [X0] :
( v1_funct_1(X0)
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_40])]) ).
fof(f1313,plain,
( v1_funct_1(u1_struct_0(sK3))
| ~ spl30_40
| ~ spl30_143 ),
inference(resolution,[],[f1167,f572]) ).
fof(f572,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| v1_funct_1(X0) )
| ~ spl30_40 ),
inference(avatar_component_clause,[],[f571]) ).
fof(f1340,plain,
( spl30_143
| ~ spl30_144
| spl30_171
| ~ spl30_8
| ~ spl30_114 ),
inference(avatar_split_clause,[],[f988,f972,f413,f1337,f1169,f1165]) ).
fof(f988,plain,
( m1_subset_1(sK5,k4_autgroup(sK3))
| ~ m1_fraenkel(k4_autgroup(sK3),u1_struct_0(sK3),u1_struct_0(sK3))
| v1_xboole_0(u1_struct_0(sK3))
| ~ spl30_8
| ~ spl30_114 ),
inference(resolution,[],[f973,f415]) ).
fof(f1329,plain,
( spl30_170
| ~ spl30_143
| ~ spl30_157
| ~ spl30_169 ),
inference(avatar_split_clause,[],[f1324,f1320,f1240,f1165,f1326]) ).
fof(f1326,plain,
( spl30_170
<=> m2_fraenkel(sK5,sK20,sK20,k1_autgroup(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_170])]) ).
fof(f1240,plain,
( spl30_157
<=> ! [X0] :
( sK20 = X0
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_157])]) ).
fof(f1324,plain,
( m2_fraenkel(sK5,sK20,sK20,k1_autgroup(sK3))
| ~ spl30_143
| ~ spl30_157
| ~ spl30_169 ),
inference(forward_demodulation,[],[f1322,f1310]) ).
fof(f1310,plain,
( u1_struct_0(sK3) = sK20
| ~ spl30_143
| ~ spl30_157 ),
inference(resolution,[],[f1167,f1241]) ).
fof(f1241,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| sK20 = X0 )
| ~ spl30_157 ),
inference(avatar_component_clause,[],[f1240]) ).
fof(f1323,plain,
( spl30_1
| ~ spl30_2
| ~ spl30_3
| ~ spl30_4
| ~ spl30_5
| spl30_169
| ~ spl30_8
| ~ spl30_136 ),
inference(avatar_split_clause,[],[f1126,f1119,f413,f1320,f398,f393,f388,f383,f378]) ).
fof(f1126,plain,
( m2_fraenkel(sK5,u1_struct_0(sK3),u1_struct_0(sK3),k1_autgroup(sK3))
| ~ l1_group_1(sK3)
| ~ v4_group_1(sK3)
| ~ v3_group_1(sK3)
| ~ v1_group_1(sK3)
| v3_struct_0(sK3)
| ~ spl30_8
| ~ spl30_136 ),
inference(resolution,[],[f1120,f415]) ).
fof(f1308,plain,
( spl30_1
| ~ spl30_2
| ~ spl30_3
| ~ spl30_4
| ~ spl30_5
| ~ spl30_124
| spl30_144 ),
inference(avatar_split_clause,[],[f1177,f1169,f1040,f398,f393,f388,f383,f378]) ).
fof(f1177,plain,
( ~ l1_group_1(sK3)
| ~ v4_group_1(sK3)
| ~ v3_group_1(sK3)
| ~ v1_group_1(sK3)
| v3_struct_0(sK3)
| ~ spl30_124
| spl30_144 ),
inference(resolution,[],[f1171,f1041]) ).
fof(f1171,plain,
( ~ m1_fraenkel(k4_autgroup(sK3),u1_struct_0(sK3),u1_struct_0(sK3))
| spl30_144 ),
inference(avatar_component_clause,[],[f1169]) ).
fof(f1305,plain,
( spl30_168
| ~ spl30_41
| ~ spl30_94 ),
inference(avatar_split_clause,[],[f837,f834,f575,f1303]) ).
fof(f837,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK10(k1_zfmisc_1(X0))) )
| ~ spl30_41
| ~ spl30_94 ),
inference(resolution,[],[f835,f576]) ).
fof(f1301,plain,
( spl30_167
| ~ spl30_86
| ~ spl30_91 ),
inference(avatar_split_clause,[],[f828,f813,f780,f1299]) ).
fof(f813,plain,
( spl30_91
<=> ! [X2,X0,X1] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_91])]) ).
fof(f828,plain,
( ! [X2,X0,X1] :
( v1_relat_1(X0)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl30_86
| ~ spl30_91 ),
inference(resolution,[],[f814,f781]) ).
fof(f814,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(X2) )
| ~ spl30_91 ),
inference(avatar_component_clause,[],[f813]) ).
fof(f1284,plain,
( spl30_166
| ~ spl30_91
| ~ spl30_99 ),
inference(avatar_split_clause,[],[f879,f856,f813,f1282]) ).
fof(f879,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) )
| ~ spl30_91
| ~ spl30_99 ),
inference(resolution,[],[f857,f814]) ).
fof(f1280,plain,
( spl30_165
| ~ spl30_74
| ~ spl30_93 ),
inference(avatar_split_clause,[],[f832,f821,f727,f1278]) ).
fof(f821,plain,
( spl30_93
<=> ! [X2,X0,X1] :
( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_93])]) ).
fof(f832,plain,
( ! [X0,X1] : m2_relset_1(sK15(X0,X1),X0,X1)
| ~ spl30_74
| ~ spl30_93 ),
inference(resolution,[],[f822,f728]) ).
fof(f822,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| m2_relset_1(X2,X0,X1) )
| ~ spl30_93 ),
inference(avatar_component_clause,[],[f821]) ).
fof(f1276,plain,
( spl30_164
| ~ spl30_73
| ~ spl30_93 ),
inference(avatar_split_clause,[],[f831,f821,f723,f1274]) ).
fof(f723,plain,
( spl30_73
<=> ! [X0,X1] : m1_relset_1(sK14(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_73])]) ).
fof(f831,plain,
( ! [X0,X1] : m2_relset_1(sK14(X0,X1),X0,X1)
| ~ spl30_73
| ~ spl30_93 ),
inference(resolution,[],[f822,f724]) ).
fof(f724,plain,
( ! [X0,X1] : m1_relset_1(sK14(X0,X1),X0,X1)
| ~ spl30_73 ),
inference(avatar_component_clause,[],[f723]) ).
fof(f1272,plain,
( spl30_163
| ~ spl30_70
| ~ spl30_93 ),
inference(avatar_split_clause,[],[f830,f821,f710,f1270]) ).
fof(f710,plain,
( spl30_70
<=> ! [X0,X1] : m1_relset_1(sK12(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_70])]) ).
fof(f830,plain,
( ! [X0,X1] : m2_relset_1(sK12(X0,X1),X0,X1)
| ~ spl30_70
| ~ spl30_93 ),
inference(resolution,[],[f822,f711]) ).
fof(f711,plain,
( ! [X0,X1] : m1_relset_1(sK12(X0,X1),X0,X1)
| ~ spl30_70 ),
inference(avatar_component_clause,[],[f710]) ).
fof(f1268,plain,
( spl30_162
| ~ spl30_71
| ~ spl30_92 ),
inference(avatar_split_clause,[],[f829,f817,f714,f1266]) ).
fof(f1266,plain,
( spl30_162
<=> ! [X0,X1] : m1_relset_1(sK13(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_162])]) ).
fof(f829,plain,
( ! [X0,X1] : m1_relset_1(sK13(X0,X1),X0,X1)
| ~ spl30_71
| ~ spl30_92 ),
inference(resolution,[],[f818,f715]) ).
fof(f1264,plain,
( spl30_161
| ~ spl30_41
| ~ spl30_91 ),
inference(avatar_split_clause,[],[f827,f813,f575,f1262]) ).
fof(f1262,plain,
( spl30_161
<=> ! [X0,X1] : v1_relat_1(sK10(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_161])]) ).
fof(f827,plain,
( ! [X0,X1] : v1_relat_1(sK10(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| ~ spl30_41
| ~ spl30_91 ),
inference(resolution,[],[f814,f576]) ).
fof(f1260,plain,
( spl30_160
| ~ spl30_41
| ~ spl30_90 ),
inference(avatar_split_clause,[],[f825,f809,f575,f1258]) ).
fof(f825,plain,
( ! [X0] :
( v1_xboole_0(X0)
| r2_hidden(sK10(X0),X0) )
| ~ spl30_41
| ~ spl30_90 ),
inference(resolution,[],[f810,f576]) ).
fof(f1255,plain,
( spl30_159
| ~ spl30_6
| ~ spl30_137 ),
inference(avatar_split_clause,[],[f1130,f1123,f403,f1253]) ).
fof(f403,plain,
( spl30_6
<=> m1_subset_1(sK5,u1_struct_0(k5_autgroup(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_6])]) ).
fof(f1130,plain,
( ! [X0] :
( k3_group_1(k5_autgroup(sK3),sK5) = k3_group_1(X0,sK5)
| ~ m1_group_2(k5_autgroup(sK3),X0)
| ~ m1_subset_1(sK5,u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl30_6
| ~ spl30_137 ),
inference(resolution,[],[f1124,f405]) ).
fof(f405,plain,
( m1_subset_1(sK5,u1_struct_0(k5_autgroup(sK3)))
| ~ spl30_6 ),
inference(avatar_component_clause,[],[f403]) ).
fof(f1251,plain,
( spl30_158
| ~ spl30_28
| ~ spl30_147 ),
inference(avatar_split_clause,[],[f1201,f1184,f513,f1248]) ).
fof(f1248,plain,
( spl30_158
<=> v1_relat_1(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_158])]) ).
fof(f513,plain,
( spl30_28
<=> v1_relat_1(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_28])]) ).
fof(f1184,plain,
( spl30_147
<=> sK20 = sK26 ),
introduced(avatar_definition,[new_symbols(naming,[spl30_147])]) ).
fof(f1201,plain,
( v1_relat_1(sK20)
| ~ spl30_28
| ~ spl30_147 ),
inference(superposition,[],[f515,f1186]) ).
fof(f1186,plain,
( sK20 = sK26
| ~ spl30_147 ),
inference(avatar_component_clause,[],[f1184]) ).
fof(f515,plain,
( v1_relat_1(sK26)
| ~ spl30_28 ),
inference(avatar_component_clause,[],[f513]) ).
fof(f1242,plain,
( spl30_157
| ~ spl30_13
| ~ spl30_87 ),
inference(avatar_split_clause,[],[f803,f784,f438,f1240]) ).
fof(f438,plain,
( spl30_13
<=> v1_xboole_0(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_13])]) ).
fof(f784,plain,
( spl30_87
<=> ! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_87])]) ).
fof(f803,plain,
( ! [X0] :
( sK20 = X0
| ~ v1_xboole_0(X0) )
| ~ spl30_13
| ~ spl30_87 ),
inference(resolution,[],[f785,f440]) ).
fof(f440,plain,
( v1_xboole_0(sK20)
| ~ spl30_13 ),
inference(avatar_component_clause,[],[f438]) ).
fof(f785,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) )
| ~ spl30_87 ),
inference(avatar_component_clause,[],[f784]) ).
fof(f1238,plain,
( spl30_156
| ~ spl30_41
| ~ spl30_80 ),
inference(avatar_split_clause,[],[f790,f754,f575,f1236]) ).
fof(f1236,plain,
( spl30_156
<=> ! [X0] :
( v1_funct_1(sK10(X0))
| ~ v1_fraenkel(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_156])]) ).
fof(f790,plain,
( ! [X0] :
( v1_funct_1(sK10(X0))
| ~ v1_fraenkel(X0) )
| ~ spl30_41
| ~ spl30_80 ),
inference(resolution,[],[f755,f576]) ).
fof(f1234,plain,
( spl30_155
| ~ spl30_41
| ~ spl30_79 ),
inference(avatar_split_clause,[],[f788,f750,f575,f1232]) ).
fof(f1232,plain,
( spl30_155
<=> ! [X0] :
( v1_relat_1(sK10(X0))
| ~ v1_fraenkel(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_155])]) ).
fof(f788,plain,
( ! [X0] :
( v1_relat_1(sK10(X0))
| ~ v1_fraenkel(X0) )
| ~ spl30_41
| ~ spl30_79 ),
inference(resolution,[],[f751,f576]) ).
fof(f1230,plain,
( spl30_154
| ~ spl30_39
| ~ spl30_61 ),
inference(avatar_split_clause,[],[f688,f665,f567,f1228]) ).
fof(f1228,plain,
( spl30_154
<=> ! [X0] :
( ~ sP2(X0)
| l1_struct_0(k3_autgroup(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_154])]) ).
fof(f688,plain,
( ! [X0] :
( ~ sP2(X0)
| l1_struct_0(k3_autgroup(X0)) )
| ~ spl30_39
| ~ spl30_61 ),
inference(resolution,[],[f666,f568]) ).
fof(f1226,plain,
( spl30_153
| ~ spl30_69
| ~ spl30_77 ),
inference(avatar_split_clause,[],[f748,f739,f706,f1224]) ).
fof(f1224,plain,
( spl30_153
<=> ! [X0,X1] : v1_fraenkel(sK11(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_153])]) ).
fof(f748,plain,
( ! [X0,X1] : v1_fraenkel(sK11(X0,X1))
| ~ spl30_69
| ~ spl30_77 ),
inference(resolution,[],[f740,f707]) ).
fof(f1222,plain,
( spl30_152
| ~ spl30_69
| ~ spl30_76 ),
inference(avatar_split_clause,[],[f747,f735,f706,f1220]) ).
fof(f1220,plain,
( spl30_152
<=> ! [X0,X1] : ~ v1_xboole_0(sK11(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_152])]) ).
fof(f747,plain,
( ! [X0,X1] : ~ v1_xboole_0(sK11(X0,X1))
| ~ spl30_69
| ~ spl30_76 ),
inference(resolution,[],[f736,f707]) ).
fof(f1214,plain,
( spl30_1
| ~ spl30_2
| ~ spl30_3
| ~ spl30_4
| spl30_151
| ~ spl30_5
| ~ spl30_127 ),
inference(avatar_split_clause,[],[f1075,f1059,f398,f1211,f393,f388,f383,f378]) ).
fof(f1075,plain,
( k3_autgroup(sK3) = g1_group_1(k1_autgroup(sK3),k2_autgroup(sK3))
| ~ v4_group_1(sK3)
| ~ v3_group_1(sK3)
| ~ v1_group_1(sK3)
| v3_struct_0(sK3)
| ~ spl30_5
| ~ spl30_127 ),
inference(resolution,[],[f1060,f400]) ).
fof(f400,plain,
( l1_group_1(sK3)
| ~ spl30_5 ),
inference(avatar_component_clause,[],[f398]) ).
fof(f1208,plain,
( spl30_150
| ~ spl30_6
| ~ spl30_123 ),
inference(avatar_split_clause,[],[f1047,f1036,f403,f1206]) ).
fof(f1047,plain,
( ! [X0] :
( m1_subset_1(sK5,u1_struct_0(X0))
| ~ m1_group_2(k5_autgroup(sK3),X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl30_6
| ~ spl30_123 ),
inference(resolution,[],[f1037,f405]) ).
fof(f1197,plain,
( spl30_149
| ~ spl30_13
| ~ spl30_37
| ~ spl30_48 ),
inference(avatar_split_clause,[],[f677,f613,f558,f438,f1194]) ).
fof(f1194,plain,
( spl30_149
<=> sK20 = sK29 ),
introduced(avatar_definition,[new_symbols(naming,[spl30_149])]) ).
fof(f558,plain,
( spl30_37
<=> v1_xboole_0(sK29) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_37])]) ).
fof(f677,plain,
( sK20 = sK29
| ~ spl30_13
| ~ spl30_37
| ~ spl30_48 ),
inference(forward_demodulation,[],[f675,f673]) ).
fof(f673,plain,
( k1_xboole_0 = sK20
| ~ spl30_13
| ~ spl30_48 ),
inference(resolution,[],[f614,f440]) ).
fof(f675,plain,
( k1_xboole_0 = sK29
| ~ spl30_37
| ~ spl30_48 ),
inference(resolution,[],[f614,f560]) ).
fof(f560,plain,
( v1_xboole_0(sK29)
| ~ spl30_37 ),
inference(avatar_component_clause,[],[f558]) ).
fof(f1192,plain,
( ~ spl30_148
| ~ spl30_67
| ~ spl30_139 ),
inference(avatar_split_clause,[],[f1148,f1139,f698,f1189]) ).
fof(f1189,plain,
( spl30_148
<=> r2_hidden(u1_struct_0(k5_autgroup(sK3)),sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_148])]) ).
fof(f1139,plain,
( spl30_139
<=> r2_hidden(sK5,u1_struct_0(k5_autgroup(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_139])]) ).
fof(f1148,plain,
( ~ r2_hidden(u1_struct_0(k5_autgroup(sK3)),sK5)
| ~ spl30_67
| ~ spl30_139 ),
inference(resolution,[],[f1141,f699]) ).
fof(f1141,plain,
( r2_hidden(sK5,u1_struct_0(k5_autgroup(sK3)))
| ~ spl30_139 ),
inference(avatar_component_clause,[],[f1139]) ).
fof(f1187,plain,
( spl30_147
| ~ spl30_13
| ~ spl30_29
| ~ spl30_48 ),
inference(avatar_split_clause,[],[f676,f613,f518,f438,f1184]) ).
fof(f518,plain,
( spl30_29
<=> v1_xboole_0(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_29])]) ).
fof(f676,plain,
( sK20 = sK26
| ~ spl30_13
| ~ spl30_29
| ~ spl30_48 ),
inference(forward_demodulation,[],[f674,f673]) ).
fof(f674,plain,
( k1_xboole_0 = sK26
| ~ spl30_29
| ~ spl30_48 ),
inference(resolution,[],[f614,f520]) ).
fof(f520,plain,
( v1_xboole_0(sK26)
| ~ spl30_29 ),
inference(avatar_component_clause,[],[f518]) ).
fof(f1182,plain,
( spl30_146
| ~ spl30_13
| ~ spl30_48 ),
inference(avatar_split_clause,[],[f673,f613,f438,f1179]) ).
fof(f1176,plain,
( spl30_143
| ~ spl30_144
| spl30_145
| ~ spl30_8
| ~ spl30_112 ),
inference(avatar_split_clause,[],[f966,f959,f413,f1173,f1169,f1165]) ).
fof(f966,plain,
( v1_funct_1(sK5)
| ~ m1_fraenkel(k4_autgroup(sK3),u1_struct_0(sK3),u1_struct_0(sK3))
| v1_xboole_0(u1_struct_0(sK3))
| ~ spl30_8
| ~ spl30_112 ),
inference(resolution,[],[f960,f415]) ).
fof(f1163,plain,
( spl30_1
| ~ spl30_2
| ~ spl30_3
| ~ spl30_4
| spl30_142
| ~ spl30_5
| ~ spl30_108 ),
inference(avatar_split_clause,[],[f941,f936,f398,f1160,f393,f388,f383,f378]) ).
fof(f941,plain,
( sP2(sK3)
| ~ v4_group_1(sK3)
| ~ v3_group_1(sK3)
| ~ v1_group_1(sK3)
| v3_struct_0(sK3)
| ~ spl30_5
| ~ spl30_108 ),
inference(resolution,[],[f937,f400]) ).
fof(f1154,plain,
( spl30_141
| ~ spl30_2
| ~ spl30_5
| ~ spl30_101 ),
inference(avatar_split_clause,[],[f905,f889,f398,f383,f1151]) ).
fof(f905,plain,
( ~ v1_group_1(sK3)
| sK3 = g1_group_1(u1_struct_0(sK3),u1_group_1(sK3))
| ~ spl30_5
| ~ spl30_101 ),
inference(resolution,[],[f890,f400]) ).
fof(f1146,plain,
( spl30_139
| spl30_140
| ~ spl30_6
| ~ spl30_90 ),
inference(avatar_split_clause,[],[f824,f809,f403,f1143,f1139]) ).
fof(f1143,plain,
( spl30_140
<=> v1_xboole_0(u1_struct_0(k5_autgroup(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_140])]) ).
fof(f824,plain,
( v1_xboole_0(u1_struct_0(k5_autgroup(sK3)))
| r2_hidden(sK5,u1_struct_0(k5_autgroup(sK3)))
| ~ spl30_6
| ~ spl30_90 ),
inference(resolution,[],[f810,f405]) ).
fof(f1135,plain,
spl30_138,
inference(avatar_split_clause,[],[f376,f1133]) ).
fof(f376,plain,
! [X2,X0] :
( k3_group_1(k3_autgroup(X0),X2) = k2_funct_1(X2)
| ~ m1_subset_1(X2,u1_struct_0(k3_autgroup(X0)))
| ~ m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(equality_resolution,[],[f292]) ).
fof(f292,plain,
! [X2,X0,X1] :
( k2_funct_1(X1) = k3_group_1(k3_autgroup(X0),X2)
| X1 != X2
| ~ m1_subset_1(X2,u1_struct_0(k3_autgroup(X0)))
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k2_funct_1(X1) = k3_group_1(k3_autgroup(X0),X2)
| X1 != X2
| ~ m1_subset_1(X2,u1_struct_0(k3_autgroup(X0))) )
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f133]) ).
fof(f133,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k2_funct_1(X1) = k3_group_1(k3_autgroup(X0),X2)
| X1 != X2
| ~ m1_subset_1(X2,u1_struct_0(k3_autgroup(X0))) )
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(k3_autgroup(X0)))
=> ( X1 = X2
=> k2_funct_1(X1) = k3_group_1(k3_autgroup(X0),X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_autgroup) ).
fof(f1125,plain,
spl30_137,
inference(avatar_split_clause,[],[f375,f1123]) ).
fof(f375,plain,
! [X2,X3,X0] :
( k3_group_1(X2,X3) = k3_group_1(X0,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_group_2(X2,X0)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(equality_resolution,[],[f259]) ).
fof(f259,plain,
! [X2,X3,X0,X1] :
( k3_group_1(X0,X1) = k3_group_1(X2,X3)
| X1 != X3
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_group_2(X2,X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( k3_group_1(X0,X1) = k3_group_1(X2,X3)
| X1 != X3
| ~ m1_subset_1(X3,u1_struct_0(X2)) )
| ~ m1_group_2(X2,X0) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f107]) ).
fof(f107,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( k3_group_1(X0,X1) = k3_group_1(X2,X3)
| X1 != X3
| ~ m1_subset_1(X3,u1_struct_0(X2)) )
| ~ m1_group_2(X2,X0) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f74]) ).
fof(f74,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_group_2(X2,X0)
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X2))
=> ( X1 = X3
=> k3_group_1(X0,X1) = k3_group_1(X2,X3) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t57_group_2) ).
fof(f1121,plain,
spl30_136,
inference(avatar_split_clause,[],[f291,f1119]) ).
fof(f291,plain,
! [X0,X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
! [X0] :
( ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f131]) ).
fof(f131,plain,
! [X0] :
( ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f68]) ).
fof(f68,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
=> m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_autgroup) ).
fof(f1115,plain,
spl30_135,
inference(avatar_split_clause,[],[f315,f1113]) ).
fof(f315,plain,
! [X2,X3,X0,X1] :
( X1 = X3
| g1_group_1(X0,X1) != g1_group_1(X2,X3)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
! [X0,X1] :
( ! [X2,X3] :
( ( X1 = X3
& X0 = X2 )
| g1_group_1(X0,X1) != g1_group_1(X2,X3) )
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(flattening,[],[f153]) ).
fof(f153,plain,
! [X0,X1] :
( ! [X2,X3] :
( ( X1 = X3
& X0 = X2 )
| g1_group_1(X0,X1) != g1_group_1(X2,X3) )
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,axiom,
! [X0,X1] :
( ( m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X1) )
=> ! [X2,X3] :
( g1_group_1(X0,X1) = g1_group_1(X2,X3)
=> ( X1 = X3
& X0 = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',free_g1_group_1) ).
fof(f1111,plain,
spl30_134,
inference(avatar_split_clause,[],[f314,f1109]) ).
fof(f314,plain,
! [X2,X3,X0,X1] :
( X0 = X2
| g1_group_1(X0,X1) != g1_group_1(X2,X3)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(cnf_transformation,[],[f154]) ).
fof(f1099,plain,
spl30_133,
inference(avatar_split_clause,[],[f309,f1097]) ).
fof(f309,plain,
! [X0,X1] :
( ~ v3_struct_0(g1_group_1(X0,X1))
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f148,plain,
! [X0,X1] :
( ( v1_group_1(g1_group_1(X0,X1))
& ~ v3_struct_0(g1_group_1(X0,X1)) )
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| v1_xboole_0(X0) ),
inference(flattening,[],[f147]) ).
fof(f147,plain,
! [X0,X1] :
( ( v1_group_1(g1_group_1(X0,X1))
& ~ v3_struct_0(g1_group_1(X0,X1)) )
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,axiom,
! [X0,X1] :
( ( m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X1)
& ~ v1_xboole_0(X0) )
=> ( v1_group_1(g1_group_1(X0,X1))
& ~ v3_struct_0(g1_group_1(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_group_1) ).
fof(f1095,plain,
spl30_132,
inference(avatar_split_clause,[],[f290,f1093]) ).
fof(f290,plain,
! [X0] :
( m2_relset_1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0] :
( ( m2_relset_1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
& v1_funct_2(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
& v1_funct_1(k2_autgroup(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f129]) ).
fof(f129,plain,
! [X0] :
( ( m2_relset_1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
& v1_funct_2(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
& v1_funct_1(k2_autgroup(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( m2_relset_1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
& v1_funct_2(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
& v1_funct_1(k2_autgroup(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_autgroup) ).
fof(f1091,plain,
spl30_131,
inference(avatar_split_clause,[],[f289,f1089]) ).
fof(f289,plain,
! [X0] :
( v1_funct_2(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f1073,plain,
spl30_130,
inference(avatar_split_clause,[],[f313,f1071]) ).
fof(f313,plain,
! [X0,X1] :
( l1_group_1(g1_group_1(X0,X1))
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(cnf_transformation,[],[f152]) ).
fof(f152,plain,
! [X0,X1] :
( ( l1_group_1(g1_group_1(X0,X1))
& v1_group_1(g1_group_1(X0,X1)) )
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(flattening,[],[f151]) ).
fof(f151,plain,
! [X0,X1] :
( ( l1_group_1(g1_group_1(X0,X1))
& v1_group_1(g1_group_1(X0,X1)) )
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1] :
( ( m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X1) )
=> ( l1_group_1(g1_group_1(X0,X1))
& v1_group_1(g1_group_1(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_g1_group_1) ).
fof(f1069,plain,
spl30_129,
inference(avatar_split_clause,[],[f312,f1067]) ).
fof(f312,plain,
! [X0,X1] :
( v1_group_1(g1_group_1(X0,X1))
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(cnf_transformation,[],[f152]) ).
fof(f1065,plain,
spl30_128,
inference(avatar_split_clause,[],[f311,f1063]) ).
fof(f311,plain,
! [X0,X1] :
( m1_subset_1(k3_group_1(X0,X1),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f150]) ).
fof(f150,plain,
! [X0,X1] :
( m1_subset_1(k3_group_1(X0,X1),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f149]) ).
fof(f149,plain,
! [X0,X1] :
( m1_subset_1(k3_group_1(X0,X1),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,u1_struct_0(X0))
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> m1_subset_1(k3_group_1(X0,X1),u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_group_1) ).
fof(f1061,plain,
spl30_127,
inference(avatar_split_clause,[],[f279,f1059]) ).
fof(f279,plain,
! [X0] :
( k3_autgroup(X0) = g1_group_1(k1_autgroup(X0),k2_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0] :
( k3_autgroup(X0) = g1_group_1(k1_autgroup(X0),k2_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f123]) ).
fof(f123,plain,
! [X0] :
( k3_autgroup(X0) = g1_group_1(k1_autgroup(X0),k2_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> k3_autgroup(X0) = g1_group_1(k1_autgroup(X0),k2_autgroup(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_autgroup) ).
fof(f1055,plain,
( spl30_126
| ~ spl30_13
| ~ spl30_40 ),
inference(avatar_split_clause,[],[f600,f571,f438,f1052]) ).
fof(f1052,plain,
( spl30_126
<=> v1_funct_1(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_126])]) ).
fof(f600,plain,
( v1_funct_1(sK20)
| ~ spl30_13
| ~ spl30_40 ),
inference(resolution,[],[f572,f440]) ).
fof(f1046,plain,
spl30_125,
inference(avatar_split_clause,[],[f278,f1044]) ).
fof(f278,plain,
! [X0] :
( m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0] :
( m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f121]) ).
fof(f121,plain,
! [X0] :
( m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_autgroup) ).
fof(f1042,plain,
spl30_124,
inference(avatar_split_clause,[],[f277,f1040]) ).
fof(f277,plain,
! [X0] :
( m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0] :
( m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f119]) ).
fof(f119,plain,
! [X0] :
( m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_autgroup) ).
fof(f1038,plain,
spl30_123,
inference(avatar_split_clause,[],[f275,f1036]) ).
fof(f275,plain,
! [X2,X0,X1] :
( m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X1)) )
| ~ m1_group_2(X1,X0) )
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f115]) ).
fof(f115,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X1)) )
| ~ m1_group_2(X1,X0) )
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f73]) ).
fof(f73,axiom,
! [X0] :
( ( l1_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> m1_subset_1(X2,u1_struct_0(X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t51_group_2) ).
fof(f1030,plain,
spl30_122,
inference(avatar_split_clause,[],[f306,f1028]) ).
fof(f306,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1)
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
! [X0,X1] :
( ! [X2] :
( ( v1_funct_2(X2,X0,X1)
& v1_partfun1(X2,X0,X1)
& ~ v1_xboole_0(X2)
& v1_funct_1(X2) )
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1) )
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(flattening,[],[f145]) ).
fof(f145,plain,
! [X0,X1] :
( ! [X2] :
( ( v1_funct_2(X2,X0,X1)
& v1_partfun1(X2,X0,X1)
& ~ v1_xboole_0(X2)
& v1_funct_1(X2) )
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1) )
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1] :
( ( ~ v1_xboole_0(X1)
& ~ v1_xboole_0(X0) )
=> ! [X2] :
( m1_relset_1(X2,X0,X1)
=> ( ( v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) )
=> ( v1_funct_2(X2,X0,X1)
& v1_partfun1(X2,X0,X1)
& ~ v1_xboole_0(X2)
& v1_funct_1(X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc6_funct_2) ).
fof(f1026,plain,
spl30_121,
inference(avatar_split_clause,[],[f300,f1024]) ).
fof(f300,plain,
! [X2,X0,X1] :
( v1_partfun1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
! [X0,X1] :
( ! [X2] :
( ( v1_funct_2(X2,X0,X1)
& v1_partfun1(X2,X0,X1)
& v1_funct_1(X2) )
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1) )
| v1_xboole_0(X1) ),
inference(flattening,[],[f139]) ).
fof(f139,plain,
! [X0,X1] :
( ! [X2] :
( ( v1_funct_2(X2,X0,X1)
& v1_partfun1(X2,X0,X1)
& v1_funct_1(X2) )
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1) )
| v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0,X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( m1_relset_1(X2,X0,X1)
=> ( ( v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) )
=> ( v1_funct_2(X2,X0,X1)
& v1_partfun1(X2,X0,X1)
& v1_funct_1(X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc5_funct_2) ).
fof(f1008,plain,
spl30_120,
inference(avatar_split_clause,[],[f337,f1006]) ).
fof(f337,plain,
! [X2,X3,X0,X1] :
( m2_relset_1(X3,X0,X1)
| ~ m2_fraenkel(X3,X0,X1,X2)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f164]) ).
fof(f164,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( m2_relset_1(X3,X0,X1)
& v1_funct_2(X3,X0,X1)
& v1_funct_1(X3) )
| ~ m2_fraenkel(X3,X0,X1,X2) )
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(flattening,[],[f163]) ).
fof(f163,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( m2_relset_1(X3,X0,X1)
& v1_funct_2(X3,X0,X1)
& v1_funct_1(X3) )
| ~ m2_fraenkel(X3,X0,X1,X2) )
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0,X1,X2] :
( ( m1_fraenkel(X2,X0,X1)
& ~ v1_xboole_0(X1) )
=> ! [X3] :
( m2_fraenkel(X3,X0,X1,X2)
=> ( m2_relset_1(X3,X0,X1)
& v1_funct_2(X3,X0,X1)
& v1_funct_1(X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_fraenkel) ).
fof(f1004,plain,
spl30_119,
inference(avatar_split_clause,[],[f336,f1002]) ).
fof(f336,plain,
! [X2,X3,X0,X1] :
( v1_funct_2(X3,X0,X1)
| ~ m2_fraenkel(X3,X0,X1,X2)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f164]) ).
fof(f1000,plain,
spl30_118,
inference(avatar_split_clause,[],[f287,f998]) ).
fof(f287,plain,
! [X0] :
( m1_group_2(k5_autgroup(X0),k3_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0] :
( ( m1_group_2(k5_autgroup(X0),k3_autgroup(X0))
& v1_group_1(k5_autgroup(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f127]) ).
fof(f127,plain,
! [X0] :
( ( m1_group_2(k5_autgroup(X0),k3_autgroup(X0))
& v1_group_1(k5_autgroup(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( m1_group_2(k5_autgroup(X0),k3_autgroup(X0))
& v1_group_1(k5_autgroup(X0)) ) ),
inference(pure_predicate_removal,[],[f25]) ).
fof(f25,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( m1_group_2(k5_autgroup(X0),k3_autgroup(X0))
& v1_group_3(k5_autgroup(X0),k3_autgroup(X0))
& v1_group_1(k5_autgroup(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_autgroup) ).
fof(f987,plain,
spl30_117,
inference(avatar_split_clause,[],[f340,f985]) ).
fof(f340,plain,
! [X2,X0,X1] :
( m2_fraenkel(sK16(X0,X1,X2),X0,X1,X2)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f207]) ).
fof(f207,plain,
! [X0,X1,X2] :
( m2_fraenkel(sK16(X0,X1,X2),X0,X1,X2)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f168,f206]) ).
fof(f206,plain,
! [X0,X1,X2] :
( ? [X3] : m2_fraenkel(X3,X0,X1,X2)
=> m2_fraenkel(sK16(X0,X1,X2),X0,X1,X2) ),
introduced(choice_axiom,[]) ).
fof(f168,plain,
! [X0,X1,X2] :
( ? [X3] : m2_fraenkel(X3,X0,X1,X2)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(flattening,[],[f167]) ).
fof(f167,plain,
! [X0,X1,X2] :
( ? [X3] : m2_fraenkel(X3,X0,X1,X2)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0,X1,X2] :
( ( m1_fraenkel(X2,X0,X1)
& ~ v1_xboole_0(X1) )
=> ? [X3] : m2_fraenkel(X3,X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m2_fraenkel) ).
fof(f983,plain,
( spl30_1
| ~ spl30_3
| ~ spl30_4
| spl30_116
| ~ spl30_5
| ~ spl30_97 ),
inference(avatar_split_clause,[],[f874,f848,f398,f980,f393,f388,f378]) ).
fof(f980,plain,
( spl30_116
<=> sP1(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_116])]) ).
fof(f874,plain,
( sP1(sK3)
| ~ v4_group_1(sK3)
| ~ v3_group_1(sK3)
| v3_struct_0(sK3)
| ~ spl30_5
| ~ spl30_97 ),
inference(resolution,[],[f849,f400]) ).
fof(f978,plain,
spl30_115,
inference(avatar_split_clause,[],[f339,f976]) ).
fof(f339,plain,
! [X2,X3,X0,X1] :
( m2_fraenkel(X3,X0,X1,X2)
| ~ m1_subset_1(X3,X2)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f205]) ).
fof(f205,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( m2_fraenkel(X3,X0,X1,X2)
| ~ m1_subset_1(X3,X2) )
& ( m1_subset_1(X3,X2)
| ~ m2_fraenkel(X3,X0,X1,X2) ) )
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(nnf_transformation,[],[f166]) ).
fof(f166,plain,
! [X0,X1,X2] :
( ! [X3] :
( m2_fraenkel(X3,X0,X1,X2)
<=> m1_subset_1(X3,X2) )
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(flattening,[],[f165]) ).
fof(f165,plain,
! [X0,X1,X2] :
( ! [X3] :
( m2_fraenkel(X3,X0,X1,X2)
<=> m1_subset_1(X3,X2) )
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f64]) ).
fof(f64,axiom,
! [X0,X1,X2] :
( ( m1_fraenkel(X2,X0,X1)
& ~ v1_xboole_0(X1) )
=> ! [X3] :
( m2_fraenkel(X3,X0,X1,X2)
<=> m1_subset_1(X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_fraenkel) ).
fof(f974,plain,
spl30_114,
inference(avatar_split_clause,[],[f338,f972]) ).
fof(f338,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(X3,X2)
| ~ m2_fraenkel(X3,X0,X1,X2)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f205]) ).
fof(f970,plain,
spl30_113,
inference(avatar_split_clause,[],[f332,f968]) ).
fof(f968,plain,
( spl30_113
<=> ! [X2,X0,X1] :
( v1_funct_2(X2,X0,X1)
| ~ v1_partfun1(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_113])]) ).
fof(f332,plain,
! [X2,X0,X1] :
( v1_funct_2(X2,X0,X1)
| ~ v1_partfun1(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f160]) ).
fof(f160,plain,
! [X0,X1,X2] :
( ( v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) )
| ~ v1_partfun1(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1) ),
inference(flattening,[],[f159]) ).
fof(f159,plain,
! [X0,X1,X2] :
( ( v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) )
| ~ v1_partfun1(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> ( ( v1_partfun1(X2,X0,X1)
& v1_funct_1(X2) )
=> ( v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_funct_2) ).
fof(f961,plain,
spl30_112,
inference(avatar_split_clause,[],[f335,f959]) ).
fof(f335,plain,
! [X2,X3,X0,X1] :
( v1_funct_1(X3)
| ~ m2_fraenkel(X3,X0,X1,X2)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f164]) ).
fof(f957,plain,
spl30_111,
inference(avatar_split_clause,[],[f288,f955]) ).
fof(f288,plain,
! [X0] :
( v1_funct_1(k2_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f953,plain,
spl30_110,
inference(avatar_split_clause,[],[f286,f951]) ).
fof(f951,plain,
( spl30_110
<=> ! [X0] :
( v1_group_1(k5_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_110])]) ).
fof(f286,plain,
! [X0] :
( v1_group_1(k5_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f949,plain,
spl30_109,
inference(avatar_split_clause,[],[f258,f947]) ).
fof(f258,plain,
! [X0,X1] :
( v4_group_1(X1)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0] :
( ! [X1] :
( v4_group_1(X1)
| ~ m1_group_2(X1,X0) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f105]) ).
fof(f105,plain,
! [X0] :
( ! [X1] :
( v4_group_1(X1)
| ~ m1_group_2(X1,X0) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> v4_group_1(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_group_2) ).
fof(f938,plain,
spl30_108,
inference(avatar_split_clause,[],[f285,f936]) ).
fof(f285,plain,
! [X0] :
( sP2(X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f177]) ).
fof(f177,plain,
! [X0] :
( sP2(X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(definition_folding,[],[f126,f176]) ).
fof(f176,plain,
! [X0] :
( ( l1_group_1(k3_autgroup(X0))
& v4_group_1(k3_autgroup(X0))
& v3_group_1(k3_autgroup(X0))
& v1_group_1(k3_autgroup(X0))
& ~ v3_struct_0(k3_autgroup(X0)) )
| ~ sP2(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f126,plain,
! [X0] :
( ( l1_group_1(k3_autgroup(X0))
& v4_group_1(k3_autgroup(X0))
& v3_group_1(k3_autgroup(X0))
& v1_group_1(k3_autgroup(X0))
& ~ v3_struct_0(k3_autgroup(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f125]) ).
fof(f125,plain,
! [X0] :
( ( l1_group_1(k3_autgroup(X0))
& v4_group_1(k3_autgroup(X0))
& v3_group_1(k3_autgroup(X0))
& v1_group_1(k3_autgroup(X0))
& ~ v3_struct_0(k3_autgroup(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( l1_group_1(k3_autgroup(X0))
& v4_group_1(k3_autgroup(X0))
& v3_group_1(k3_autgroup(X0))
& v1_group_1(k3_autgroup(X0))
& ~ v3_struct_0(k3_autgroup(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_autgroup) ).
fof(f934,plain,
spl30_107,
inference(avatar_split_clause,[],[f250,f932]) ).
fof(f250,plain,
! [X0] :
( m2_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0] :
( ( m2_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_group_1(X0)) )
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0] :
( l1_group_1(X0)
=> ( m2_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_group_1(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u1_group_1) ).
fof(f930,plain,
spl30_106,
inference(avatar_split_clause,[],[f249,f928]) ).
fof(f249,plain,
! [X0] :
( v1_funct_2(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f914,plain,
( spl30_1
| ~ spl30_3
| ~ spl30_4
| spl30_105
| ~ spl30_5
| ~ spl30_96 ),
inference(avatar_split_clause,[],[f868,f844,f398,f911,f393,f388,f378]) ).
fof(f911,plain,
( spl30_105
<=> sP0(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_105])]) ).
fof(f868,plain,
( sP0(sK3)
| ~ v4_group_1(sK3)
| ~ v3_group_1(sK3)
| v3_struct_0(sK3)
| ~ spl30_5
| ~ spl30_96 ),
inference(resolution,[],[f845,f400]) ).
fof(f903,plain,
spl30_104,
inference(avatar_split_clause,[],[f274,f901]) ).
fof(f274,plain,
! [X0,X1] :
( l1_group_1(X1)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0] :
( ! [X1] :
( ( l1_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
| ~ m1_group_2(X1,X0) )
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f113]) ).
fof(f113,plain,
! [X0] :
( ! [X1] :
( ( l1_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
| ~ m1_group_2(X1,X0) )
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0] :
( ( l1_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ( l1_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_group_2) ).
fof(f899,plain,
spl30_103,
inference(avatar_split_clause,[],[f273,f897]) ).
fof(f273,plain,
! [X0,X1] :
( v3_group_1(X1)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f895,plain,
spl30_102,
inference(avatar_split_clause,[],[f272,f893]) ).
fof(f272,plain,
! [X0,X1] :
( ~ v3_struct_0(X1)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f891,plain,
spl30_101,
inference(avatar_split_clause,[],[f251,f889]) ).
fof(f251,plain,
! [X0] :
( g1_group_1(u1_struct_0(X0),u1_group_1(X0)) = X0
| ~ v1_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0] :
( g1_group_1(u1_struct_0(X0),u1_group_1(X0)) = X0
| ~ v1_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f95]) ).
fof(f95,plain,
! [X0] :
( g1_group_1(u1_struct_0(X0),u1_group_1(X0)) = X0
| ~ v1_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( l1_group_1(X0)
=> ( v1_group_1(X0)
=> g1_group_1(u1_struct_0(X0),u1_group_1(X0)) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abstractness_v1_group_1) ).
fof(f862,plain,
spl30_100,
inference(avatar_split_clause,[],[f341,f860]) ).
fof(f341,plain,
! [X2,X0,X1] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f170]) ).
fof(f170,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(flattening,[],[f169]) ).
fof(f169,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f72]) ).
fof(f72,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X1,k1_zfmisc_1(X2))
& r2_hidden(X0,X1) )
=> m1_subset_1(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
fof(f858,plain,
spl30_99,
inference(avatar_split_clause,[],[f333,f856]) ).
fof(f333,plain,
! [X2,X0,X1] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f161]) ).
fof(f161,plain,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f854,plain,
spl30_98,
inference(avatar_split_clause,[],[f276,f852]) ).
fof(f276,plain,
! [X0] :
( m1_group_2(sK9(X0),X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f191]) ).
fof(f191,plain,
! [X0] :
( m1_group_2(sK9(X0),X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f118,f190]) ).
fof(f190,plain,
! [X0] :
( ? [X1] : m1_group_2(X1,X0)
=> m1_group_2(sK9(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f118,plain,
! [X0] :
( ? [X1] : m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f117]) ).
fof(f117,plain,
! [X0] :
( ? [X1] : m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0] :
( ( l1_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ? [X1] : m1_group_2(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_group_2) ).
fof(f850,plain,
spl30_97,
inference(avatar_split_clause,[],[f271,f848]) ).
fof(f271,plain,
! [X0] :
( sP1(X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f175]) ).
fof(f175,plain,
! [X0] :
( sP1(X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(definition_folding,[],[f112,f174]) ).
fof(f174,plain,
! [X0] :
( ? [X1] :
( v4_group_1(X1)
& v3_group_1(X1)
& v1_group_1(X1)
& ~ v3_struct_0(X1)
& m1_group_2(X1,X0) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f112,plain,
! [X0] :
( ? [X1] :
( v4_group_1(X1)
& v3_group_1(X1)
& v1_group_1(X1)
& ~ v3_struct_0(X1)
& m1_group_2(X1,X0) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f111]) ).
fof(f111,plain,
! [X0] :
( ? [X1] :
( v4_group_1(X1)
& v3_group_1(X1)
& v1_group_1(X1)
& ~ v3_struct_0(X1)
& m1_group_2(X1,X0) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ? [X1] :
( v4_group_1(X1)
& v3_group_1(X1)
& v1_group_1(X1)
& ~ v3_struct_0(X1)
& m1_group_2(X1,X0) ) ),
inference(pure_predicate_removal,[],[f81]) ).
fof(f81,plain,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ? [X1] :
( v4_group_1(X1)
& v3_group_1(X1)
& v2_group_1(X1)
& v1_group_1(X1)
& ~ v3_struct_0(X1)
& m1_group_2(X1,X0) ) ),
inference(pure_predicate_removal,[],[f53]) ).
fof(f53,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ? [X1] :
( v1_group_3(X1,X0)
& v4_group_1(X1)
& v3_group_1(X1)
& v2_group_1(X1)
& v1_group_1(X1)
& ~ v3_struct_0(X1)
& m1_group_2(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_group_3) ).
fof(f846,plain,
spl30_96,
inference(avatar_split_clause,[],[f265,f844]) ).
fof(f265,plain,
! [X0] :
( sP0(X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f173]) ).
fof(f173,plain,
! [X0] :
( sP0(X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(definition_folding,[],[f110,f172]) ).
fof(f172,plain,
! [X0] :
( ? [X1] :
( v4_group_1(X1)
& v3_group_1(X1)
& v1_group_1(X1)
& ~ v3_struct_0(X1)
& m1_group_2(X1,X0) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f110,plain,
! [X0] :
( ? [X1] :
( v4_group_1(X1)
& v3_group_1(X1)
& v1_group_1(X1)
& ~ v3_struct_0(X1)
& m1_group_2(X1,X0) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f109]) ).
fof(f109,plain,
! [X0] :
( ? [X1] :
( v4_group_1(X1)
& v3_group_1(X1)
& v1_group_1(X1)
& ~ v3_struct_0(X1)
& m1_group_2(X1,X0) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ? [X1] :
( v4_group_1(X1)
& v3_group_1(X1)
& v1_group_1(X1)
& ~ v3_struct_0(X1)
& m1_group_2(X1,X0) ) ),
inference(pure_predicate_removal,[],[f52]) ).
fof(f52,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ? [X1] :
( v4_group_1(X1)
& v3_group_1(X1)
& v2_group_1(X1)
& v1_group_1(X1)
& ~ v3_struct_0(X1)
& m1_group_2(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_group_2) ).
fof(f842,plain,
spl30_95,
inference(avatar_split_clause,[],[f256,f840]) ).
fof(f256,plain,
! [X0] :
( m1_subset_1(sK6(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f183]) ).
fof(f183,plain,
! [X0] :
( ( ~ v1_xboole_0(sK6(X0))
& m1_subset_1(sK6(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f104,f182]) ).
fof(f182,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( ~ v1_xboole_0(sK6(X0))
& m1_subset_1(sK6(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f104,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f103]) ).
fof(f103,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f63]) ).
fof(f63,axiom,
! [X0] :
( ( l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc5_struct_0) ).
fof(f836,plain,
spl30_94,
inference(avatar_split_clause,[],[f344,f834]) ).
fof(f344,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f171]) ).
fof(f171,plain,
! [X0,X1,X2] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f75]) ).
fof(f75,axiom,
! [X0,X1,X2] :
~ ( v1_xboole_0(X2)
& m1_subset_1(X1,k1_zfmisc_1(X2))
& r2_hidden(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_subset) ).
fof(f823,plain,
spl30_93,
inference(avatar_split_clause,[],[f343,f821]) ).
fof(f343,plain,
! [X2,X0,X1] :
( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f208]) ).
fof(f208,plain,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) )
& ( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f65]) ).
fof(f65,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f819,plain,
spl30_92,
inference(avatar_split_clause,[],[f342,f817]) ).
fof(f342,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f208]) ).
fof(f815,plain,
spl30_91,
inference(avatar_split_clause,[],[f334,f813]) ).
fof(f334,plain,
! [X2,X0,X1] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(cnf_transformation,[],[f162]) ).
fof(f162,plain,
! [X0,X1,X2] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> v1_relat_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(f811,plain,
spl30_90,
inference(avatar_split_clause,[],[f304,f809]) ).
fof(f304,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f143]) ).
fof(f143,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f70]) ).
fof(f70,axiom,
! [X0,X1] :
( m1_subset_1(X0,X1)
=> ( r2_hidden(X0,X1)
| v1_xboole_0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(f799,plain,
( ~ spl30_88
| spl30_89
| ~ spl30_6
| ~ spl30_79 ),
inference(avatar_split_clause,[],[f787,f750,f403,f796,f792]) ).
fof(f792,plain,
( spl30_88
<=> v1_fraenkel(u1_struct_0(k5_autgroup(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_88])]) ).
fof(f787,plain,
( v1_relat_1(sK5)
| ~ v1_fraenkel(u1_struct_0(k5_autgroup(sK3)))
| ~ spl30_6
| ~ spl30_79 ),
inference(resolution,[],[f751,f405]) ).
fof(f786,plain,
spl30_87,
inference(avatar_split_clause,[],[f317,f784]) ).
fof(f317,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f156]) ).
fof(f156,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f78]) ).
fof(f78,axiom,
! [X0,X1] :
~ ( v1_xboole_0(X1)
& X0 != X1
& v1_xboole_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_boole) ).
fof(f782,plain,
spl30_86,
inference(avatar_split_clause,[],[f316,f780]) ).
fof(f316,plain,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f155]) ).
fof(f155,plain,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(ennf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
=> m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(unused_predicate_definition_removal,[],[f71]) ).
fof(f71,axiom,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
<=> r1_tarski(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
fof(f778,plain,
spl30_85,
inference(avatar_split_clause,[],[f296,f776]) ).
fof(f776,plain,
( spl30_85
<=> ! [X0] :
( v1_funct_1(k2_funct_1(X0))
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_85])]) ).
fof(f296,plain,
! [X0] :
( v1_funct_1(k2_funct_1(X0))
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f138,plain,
! [X0] :
( ( v1_funct_1(k2_funct_1(X0))
& v1_relat_1(k2_funct_1(X0)) )
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(flattening,[],[f137]) ).
fof(f137,plain,
! [X0] :
( ( v1_funct_1(k2_funct_1(X0))
& v1_relat_1(k2_funct_1(X0)) )
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( ( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ( v1_funct_1(k2_funct_1(X0))
& v1_relat_1(k2_funct_1(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_funct_1) ).
fof(f774,plain,
spl30_84,
inference(avatar_split_clause,[],[f295,f772]) ).
fof(f772,plain,
( spl30_84
<=> ! [X0] :
( v1_relat_1(k2_funct_1(X0))
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_84])]) ).
fof(f295,plain,
! [X0] :
( v1_relat_1(k2_funct_1(X0))
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f770,plain,
spl30_83,
inference(avatar_split_clause,[],[f257,f768]) ).
fof(f768,plain,
( spl30_83
<=> ! [X0] :
( ~ v1_xboole_0(sK6(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_83])]) ).
fof(f257,plain,
! [X0] :
( ~ v1_xboole_0(sK6(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f183]) ).
fof(f765,plain,
( spl30_82
| ~ spl30_9
| ~ spl30_40 ),
inference(avatar_split_clause,[],[f599,f571,f418,f762]) ).
fof(f762,plain,
( spl30_82
<=> v1_funct_1(k1_xboole_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_82])]) ).
fof(f418,plain,
( spl30_9
<=> v1_xboole_0(k1_xboole_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_9])]) ).
fof(f599,plain,
( v1_funct_1(k1_xboole_0)
| ~ spl30_9
| ~ spl30_40 ),
inference(resolution,[],[f572,f420]) ).
fof(f420,plain,
( v1_xboole_0(k1_xboole_0)
| ~ spl30_9 ),
inference(avatar_component_clause,[],[f418]) ).
fof(f760,plain,
spl30_81,
inference(avatar_split_clause,[],[f255,f758]) ).
fof(f255,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f101]) ).
fof(f101,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,axiom,
! [X0] :
( ( l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f756,plain,
spl30_80,
inference(avatar_split_clause,[],[f246,f754]) ).
fof(f246,plain,
! [X0,X1] :
( v1_funct_1(X1)
| ~ m1_subset_1(X1,X0)
| ~ v1_fraenkel(X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0] :
( ! [X1] :
( ( v1_funct_1(X1)
& v1_relat_1(X1) )
| ~ m1_subset_1(X1,X0) )
| ~ v1_fraenkel(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( v1_fraenkel(X0)
=> ! [X1] :
( m1_subset_1(X1,X0)
=> ( v1_funct_1(X1)
& v1_relat_1(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_fraenkel) ).
fof(f752,plain,
spl30_79,
inference(avatar_split_clause,[],[f245,f750]) ).
fof(f245,plain,
! [X0,X1] :
( v1_relat_1(X1)
| ~ m1_subset_1(X1,X0)
| ~ v1_fraenkel(X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f746,plain,
( spl30_78
| ~ spl30_26
| ~ spl30_39 ),
inference(avatar_split_clause,[],[f598,f567,f503,f743]) ).
fof(f743,plain,
( spl30_78
<=> l1_struct_0(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_78])]) ).
fof(f598,plain,
( l1_struct_0(sK25)
| ~ spl30_26
| ~ spl30_39 ),
inference(resolution,[],[f568,f505]) ).
fof(f741,plain,
spl30_77,
inference(avatar_split_clause,[],[f330,f739]) ).
fof(f330,plain,
! [X2,X0,X1] :
( v1_fraenkel(X2)
| ~ m1_fraenkel(X2,X0,X1) ),
inference(cnf_transformation,[],[f158]) ).
fof(f158,plain,
! [X0,X1,X2] :
( ( v1_fraenkel(X2)
& ~ v1_xboole_0(X2) )
| ~ m1_fraenkel(X2,X0,X1) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0,X1,X2] :
( m1_fraenkel(X2,X0,X1)
=> ( v1_fraenkel(X2)
& ~ v1_xboole_0(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_fraenkel) ).
fof(f737,plain,
spl30_76,
inference(avatar_split_clause,[],[f329,f735]) ).
fof(f329,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(X2)
| ~ m1_fraenkel(X2,X0,X1) ),
inference(cnf_transformation,[],[f158]) ).
fof(f733,plain,
spl30_75,
inference(avatar_split_clause,[],[f328,f731]) ).
fof(f328,plain,
! [X0,X1] : v1_funct_2(sK15(X0,X1),X0,X1),
inference(cnf_transformation,[],[f204]) ).
fof(f204,plain,
! [X0,X1] :
( v1_funct_2(sK15(X0,X1),X0,X1)
& v1_funct_1(sK15(X0,X1))
& v1_relat_1(sK15(X0,X1))
& m1_relset_1(sK15(X0,X1),X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f50,f203]) ).
fof(f203,plain,
! [X0,X1] :
( ? [X2] :
( v1_funct_2(X2,X0,X1)
& v1_funct_1(X2)
& v1_relat_1(X2)
& m1_relset_1(X2,X0,X1) )
=> ( v1_funct_2(sK15(X0,X1),X0,X1)
& v1_funct_1(sK15(X0,X1))
& v1_relat_1(sK15(X0,X1))
& m1_relset_1(sK15(X0,X1),X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f50,axiom,
! [X0,X1] :
? [X2] :
( v1_funct_2(X2,X0,X1)
& v1_funct_1(X2)
& v1_relat_1(X2)
& m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_funct_2) ).
fof(f729,plain,
spl30_74,
inference(avatar_split_clause,[],[f325,f727]) ).
fof(f325,plain,
! [X0,X1] : m1_relset_1(sK15(X0,X1),X0,X1),
inference(cnf_transformation,[],[f204]) ).
fof(f725,plain,
spl30_73,
inference(avatar_split_clause,[],[f322,f723]) ).
fof(f322,plain,
! [X0,X1] : m1_relset_1(sK14(X0,X1),X0,X1),
inference(cnf_transformation,[],[f202]) ).
fof(f202,plain,
! [X0,X1] :
( v1_funct_1(sK14(X0,X1))
& v1_relat_1(sK14(X0,X1))
& m1_relset_1(sK14(X0,X1),X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f58,f201]) ).
fof(f201,plain,
! [X0,X1] :
( ? [X2] :
( v1_funct_1(X2)
& v1_relat_1(X2)
& m1_relset_1(X2,X0,X1) )
=> ( v1_funct_1(sK14(X0,X1))
& v1_relat_1(sK14(X0,X1))
& m1_relset_1(sK14(X0,X1),X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f58,axiom,
! [X0,X1] :
? [X2] :
( v1_funct_1(X2)
& v1_relat_1(X2)
& m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_partfun1) ).
fof(f721,plain,
( spl30_72
| ~ spl30_21
| ~ spl30_39 ),
inference(avatar_split_clause,[],[f597,f567,f478,f718]) ).
fof(f718,plain,
( spl30_72
<=> l1_struct_0(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_72])]) ).
fof(f597,plain,
( l1_struct_0(sK24)
| ~ spl30_21
| ~ spl30_39 ),
inference(resolution,[],[f568,f480]) ).
fof(f716,plain,
spl30_71,
inference(avatar_split_clause,[],[f321,f714]) ).
fof(f321,plain,
! [X0,X1] : m2_relset_1(sK13(X0,X1),X0,X1),
inference(cnf_transformation,[],[f200]) ).
fof(f200,plain,
! [X0,X1] : m2_relset_1(sK13(X0,X1),X0,X1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f43,f199]) ).
fof(f199,plain,
! [X0,X1] :
( ? [X2] : m2_relset_1(X2,X0,X1)
=> m2_relset_1(sK13(X0,X1),X0,X1) ),
introduced(choice_axiom,[]) ).
fof(f43,axiom,
! [X0,X1] :
? [X2] : m2_relset_1(X2,X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m2_relset_1) ).
fof(f712,plain,
spl30_70,
inference(avatar_split_clause,[],[f320,f710]) ).
fof(f320,plain,
! [X0,X1] : m1_relset_1(sK12(X0,X1),X0,X1),
inference(cnf_transformation,[],[f198]) ).
fof(f198,plain,
! [X0,X1] : m1_relset_1(sK12(X0,X1),X0,X1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f40,f197]) ).
fof(f197,plain,
! [X0,X1] :
( ? [X2] : m1_relset_1(X2,X0,X1)
=> m1_relset_1(sK12(X0,X1),X0,X1) ),
introduced(choice_axiom,[]) ).
fof(f40,axiom,
! [X0,X1] :
? [X2] : m1_relset_1(X2,X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_relset_1) ).
fof(f708,plain,
spl30_69,
inference(avatar_split_clause,[],[f319,f706]) ).
fof(f319,plain,
! [X0,X1] : m1_fraenkel(sK11(X0,X1),X0,X1),
inference(cnf_transformation,[],[f196]) ).
fof(f196,plain,
! [X0,X1] : m1_fraenkel(sK11(X0,X1),X0,X1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f38,f195]) ).
fof(f195,plain,
! [X0,X1] :
( ? [X2] : m1_fraenkel(X2,X0,X1)
=> m1_fraenkel(sK11(X0,X1),X0,X1) ),
introduced(choice_axiom,[]) ).
fof(f38,axiom,
! [X0,X1] :
? [X2] : m1_fraenkel(X2,X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_fraenkel) ).
fof(f704,plain,
spl30_68,
inference(avatar_split_clause,[],[f303,f702]) ).
fof(f702,plain,
( spl30_68
<=> ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_68])]) ).
fof(f303,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(f700,plain,
spl30_67,
inference(avatar_split_clause,[],[f302,f698]) ).
fof(f302,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> ~ r2_hidden(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(f696,plain,
spl30_66,
inference(avatar_split_clause,[],[f266,f694]) ).
fof(f266,plain,
! [X0] :
( m1_group_2(sK8(X0),X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f189]) ).
fof(f189,plain,
! [X0] :
( ( v4_group_1(sK8(X0))
& v3_group_1(sK8(X0))
& v1_group_1(sK8(X0))
& ~ v3_struct_0(sK8(X0))
& m1_group_2(sK8(X0),X0) )
| ~ sP1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f187,f188]) ).
fof(f188,plain,
! [X0] :
( ? [X1] :
( v4_group_1(X1)
& v3_group_1(X1)
& v1_group_1(X1)
& ~ v3_struct_0(X1)
& m1_group_2(X1,X0) )
=> ( v4_group_1(sK8(X0))
& v3_group_1(sK8(X0))
& v1_group_1(sK8(X0))
& ~ v3_struct_0(sK8(X0))
& m1_group_2(sK8(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f187,plain,
! [X0] :
( ? [X1] :
( v4_group_1(X1)
& v3_group_1(X1)
& v1_group_1(X1)
& ~ v3_struct_0(X1)
& m1_group_2(X1,X0) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f174]) ).
fof(f692,plain,
spl30_65,
inference(avatar_split_clause,[],[f260,f690]) ).
fof(f260,plain,
! [X0] :
( m1_group_2(sK7(X0),X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f186]) ).
fof(f186,plain,
! [X0] :
( ( v4_group_1(sK7(X0))
& v3_group_1(sK7(X0))
& v1_group_1(sK7(X0))
& ~ v3_struct_0(sK7(X0))
& m1_group_2(sK7(X0),X0) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f184,f185]) ).
fof(f185,plain,
! [X0] :
( ? [X1] :
( v4_group_1(X1)
& v3_group_1(X1)
& v1_group_1(X1)
& ~ v3_struct_0(X1)
& m1_group_2(X1,X0) )
=> ( v4_group_1(sK7(X0))
& v3_group_1(sK7(X0))
& v1_group_1(sK7(X0))
& ~ v3_struct_0(sK7(X0))
& m1_group_2(sK7(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f184,plain,
! [X0] :
( ? [X1] :
( v4_group_1(X1)
& v3_group_1(X1)
& v1_group_1(X1)
& ~ v3_struct_0(X1)
& m1_group_2(X1,X0) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f172]) ).
fof(f687,plain,
( spl30_64
| ~ spl30_18
| ~ spl30_39 ),
inference(avatar_split_clause,[],[f596,f567,f463,f684]) ).
fof(f684,plain,
( spl30_64
<=> l1_struct_0(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_64])]) ).
fof(f596,plain,
( l1_struct_0(sK23)
| ~ spl30_18
| ~ spl30_39 ),
inference(resolution,[],[f568,f465]) ).
fof(f682,plain,
( spl30_63
| ~ spl30_12
| ~ spl30_39 ),
inference(avatar_split_clause,[],[f595,f567,f433,f679]) ).
fof(f679,plain,
( spl30_63
<=> l1_struct_0(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_63])]) ).
fof(f595,plain,
( l1_struct_0(sK19)
| ~ spl30_12
| ~ spl30_39 ),
inference(resolution,[],[f568,f435]) ).
fof(f671,plain,
spl30_62,
inference(avatar_split_clause,[],[f318,f669]) ).
fof(f669,plain,
( spl30_62
<=> ! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_62])]) ).
fof(f318,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f157]) ).
fof(f157,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f77]) ).
fof(f77,axiom,
! [X0,X1] :
~ ( v1_xboole_0(X1)
& r2_hidden(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
fof(f667,plain,
spl30_61,
inference(avatar_split_clause,[],[f284,f665]) ).
fof(f284,plain,
! [X0] :
( l1_group_1(k3_autgroup(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f192]) ).
fof(f192,plain,
! [X0] :
( ( l1_group_1(k3_autgroup(X0))
& v4_group_1(k3_autgroup(X0))
& v3_group_1(k3_autgroup(X0))
& v1_group_1(k3_autgroup(X0))
& ~ v3_struct_0(k3_autgroup(X0)) )
| ~ sP2(X0) ),
inference(nnf_transformation,[],[f176]) ).
fof(f663,plain,
spl30_60,
inference(avatar_split_clause,[],[f283,f661]) ).
fof(f283,plain,
! [X0] :
( v4_group_1(k3_autgroup(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f192]) ).
fof(f659,plain,
spl30_59,
inference(avatar_split_clause,[],[f282,f657]) ).
fof(f282,plain,
! [X0] :
( v3_group_1(k3_autgroup(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f192]) ).
fof(f655,plain,
spl30_58,
inference(avatar_split_clause,[],[f281,f653]) ).
fof(f281,plain,
! [X0] :
( v1_group_1(k3_autgroup(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f192]) ).
fof(f651,plain,
spl30_57,
inference(avatar_split_clause,[],[f280,f649]) ).
fof(f280,plain,
! [X0] :
( ~ v3_struct_0(k3_autgroup(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f192]) ).
fof(f647,plain,
spl30_56,
inference(avatar_split_clause,[],[f270,f645]) ).
fof(f645,plain,
( spl30_56
<=> ! [X0] :
( v4_group_1(sK8(X0))
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_56])]) ).
fof(f270,plain,
! [X0] :
( v4_group_1(sK8(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f189]) ).
fof(f643,plain,
spl30_55,
inference(avatar_split_clause,[],[f269,f641]) ).
fof(f641,plain,
( spl30_55
<=> ! [X0] :
( v3_group_1(sK8(X0))
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_55])]) ).
fof(f269,plain,
! [X0] :
( v3_group_1(sK8(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f189]) ).
fof(f639,plain,
spl30_54,
inference(avatar_split_clause,[],[f268,f637]) ).
fof(f637,plain,
( spl30_54
<=> ! [X0] :
( v1_group_1(sK8(X0))
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_54])]) ).
fof(f268,plain,
! [X0] :
( v1_group_1(sK8(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f189]) ).
fof(f635,plain,
spl30_53,
inference(avatar_split_clause,[],[f267,f633]) ).
fof(f633,plain,
( spl30_53
<=> ! [X0] :
( ~ v3_struct_0(sK8(X0))
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_53])]) ).
fof(f267,plain,
! [X0] :
( ~ v3_struct_0(sK8(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f189]) ).
fof(f631,plain,
spl30_52,
inference(avatar_split_clause,[],[f264,f629]) ).
fof(f629,plain,
( spl30_52
<=> ! [X0] :
( v4_group_1(sK7(X0))
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_52])]) ).
fof(f264,plain,
! [X0] :
( v4_group_1(sK7(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f186]) ).
fof(f627,plain,
spl30_51,
inference(avatar_split_clause,[],[f263,f625]) ).
fof(f625,plain,
( spl30_51
<=> ! [X0] :
( v3_group_1(sK7(X0))
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_51])]) ).
fof(f263,plain,
! [X0] :
( v3_group_1(sK7(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f186]) ).
fof(f623,plain,
spl30_50,
inference(avatar_split_clause,[],[f262,f621]) ).
fof(f621,plain,
( spl30_50
<=> ! [X0] :
( v1_group_1(sK7(X0))
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_50])]) ).
fof(f262,plain,
! [X0] :
( v1_group_1(sK7(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f186]) ).
fof(f619,plain,
spl30_49,
inference(avatar_split_clause,[],[f261,f617]) ).
fof(f617,plain,
( spl30_49
<=> ! [X0] :
( ~ v3_struct_0(sK7(X0))
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_49])]) ).
fof(f261,plain,
! [X0] :
( ~ v3_struct_0(sK7(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f186]) ).
fof(f615,plain,
spl30_48,
inference(avatar_split_clause,[],[f254,f613]) ).
fof(f254,plain,
! [X0] :
( k1_xboole_0 = X0
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0] :
( k1_xboole_0 = X0
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f76]) ).
fof(f76,axiom,
! [X0] :
( v1_xboole_0(X0)
=> k1_xboole_0 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
fof(f611,plain,
spl30_47,
inference(avatar_split_clause,[],[f248,f609]) ).
fof(f248,plain,
! [X0] :
( v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f607,plain,
( spl30_46
| ~ spl30_5
| ~ spl30_39 ),
inference(avatar_split_clause,[],[f594,f567,f398,f604]) ).
fof(f594,plain,
( l1_struct_0(sK3)
| ~ spl30_5
| ~ spl30_39 ),
inference(resolution,[],[f568,f400]) ).
fof(f593,plain,
spl30_45,
inference(avatar_split_clause,[],[f327,f591]) ).
fof(f591,plain,
( spl30_45
<=> ! [X0,X1] : v1_funct_1(sK15(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_45])]) ).
fof(f327,plain,
! [X0,X1] : v1_funct_1(sK15(X0,X1)),
inference(cnf_transformation,[],[f204]) ).
fof(f589,plain,
spl30_44,
inference(avatar_split_clause,[],[f326,f587]) ).
fof(f587,plain,
( spl30_44
<=> ! [X0,X1] : v1_relat_1(sK15(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_44])]) ).
fof(f326,plain,
! [X0,X1] : v1_relat_1(sK15(X0,X1)),
inference(cnf_transformation,[],[f204]) ).
fof(f585,plain,
spl30_43,
inference(avatar_split_clause,[],[f324,f583]) ).
fof(f583,plain,
( spl30_43
<=> ! [X0,X1] : v1_funct_1(sK14(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_43])]) ).
fof(f324,plain,
! [X0,X1] : v1_funct_1(sK14(X0,X1)),
inference(cnf_transformation,[],[f202]) ).
fof(f581,plain,
spl30_42,
inference(avatar_split_clause,[],[f323,f579]) ).
fof(f579,plain,
( spl30_42
<=> ! [X0,X1] : v1_relat_1(sK14(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_42])]) ).
fof(f323,plain,
! [X0,X1] : v1_relat_1(sK14(X0,X1)),
inference(cnf_transformation,[],[f202]) ).
fof(f577,plain,
spl30_41,
inference(avatar_split_clause,[],[f297,f575]) ).
fof(f297,plain,
! [X0] : m1_subset_1(sK10(X0),X0),
inference(cnf_transformation,[],[f194]) ).
fof(f194,plain,
! [X0] : m1_subset_1(sK10(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f41,f193]) ).
fof(f193,plain,
! [X0] :
( ? [X1] : m1_subset_1(X1,X0)
=> m1_subset_1(sK10(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f41,axiom,
! [X0] :
? [X1] : m1_subset_1(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f573,plain,
spl30_40,
inference(avatar_split_clause,[],[f253,f571]) ).
fof(f253,plain,
! [X0] :
( v1_funct_1(X0)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0] :
( v1_funct_1(X0)
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( v1_xboole_0(X0)
=> v1_funct_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_funct_1) ).
fof(f569,plain,
spl30_39,
inference(avatar_split_clause,[],[f247,f567]) ).
fof(f247,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0] :
( l1_group_1(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_group_1) ).
fof(f565,plain,
spl30_38,
inference(avatar_split_clause,[],[f298,f563]) ).
fof(f298,plain,
! [X0] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0] : r1_tarski(X0,X0),
inference(rectify,[],[f66]) ).
fof(f66,axiom,
! [X0,X1] : r1_tarski(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f561,plain,
spl30_37,
inference(avatar_split_clause,[],[f372,f558]) ).
fof(f372,plain,
v1_xboole_0(sK29),
inference(cnf_transformation,[],[f234]) ).
fof(f234,plain,
( v1_xboole_0(sK29)
& v1_funct_1(sK29)
& v1_relat_1(sK29) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK29])],[f84,f233]) ).
fof(f233,plain,
( ? [X0] :
( v1_xboole_0(X0)
& v1_funct_1(X0)
& v1_relat_1(X0) )
=> ( v1_xboole_0(sK29)
& v1_funct_1(sK29)
& v1_relat_1(sK29) ) ),
introduced(choice_axiom,[]) ).
fof(f84,plain,
? [X0] :
( v1_xboole_0(X0)
& v1_funct_1(X0)
& v1_relat_1(X0) ),
inference(pure_predicate_removal,[],[f54]) ).
fof(f54,axiom,
? [X0] :
( v1_xboole_0(X0)
& v2_funct_1(X0)
& v1_funct_1(X0)
& v1_relat_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_partfun1) ).
fof(f556,plain,
spl30_36,
inference(avatar_split_clause,[],[f371,f553]) ).
fof(f553,plain,
( spl30_36
<=> v1_funct_1(sK29) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_36])]) ).
fof(f371,plain,
v1_funct_1(sK29),
inference(cnf_transformation,[],[f234]) ).
fof(f551,plain,
spl30_35,
inference(avatar_split_clause,[],[f370,f548]) ).
fof(f548,plain,
( spl30_35
<=> v1_relat_1(sK29) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_35])]) ).
fof(f370,plain,
v1_relat_1(sK29),
inference(cnf_transformation,[],[f234]) ).
fof(f546,plain,
spl30_34,
inference(avatar_split_clause,[],[f369,f543]) ).
fof(f543,plain,
( spl30_34
<=> v1_funct_1(sK28) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_34])]) ).
fof(f369,plain,
v1_funct_1(sK28),
inference(cnf_transformation,[],[f232]) ).
fof(f232,plain,
( v1_funct_1(sK28)
& v1_relat_1(sK28) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK28])],[f85,f231]) ).
fof(f231,plain,
( ? [X0] :
( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ( v1_funct_1(sK28)
& v1_relat_1(sK28) ) ),
introduced(choice_axiom,[]) ).
fof(f85,plain,
? [X0] :
( v1_funct_1(X0)
& v1_relat_1(X0) ),
inference(pure_predicate_removal,[],[f60]) ).
fof(f60,axiom,
? [X0] :
( v2_funct_1(X0)
& v1_funct_1(X0)
& v1_relat_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_funct_1) ).
fof(f541,plain,
spl30_33,
inference(avatar_split_clause,[],[f368,f538]) ).
fof(f538,plain,
( spl30_33
<=> v1_relat_1(sK28) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_33])]) ).
fof(f368,plain,
v1_relat_1(sK28),
inference(cnf_transformation,[],[f232]) ).
fof(f536,plain,
spl30_32,
inference(avatar_split_clause,[],[f367,f533]) ).
fof(f533,plain,
( spl30_32
<=> v1_funct_1(sK27) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_32])]) ).
fof(f367,plain,
v1_funct_1(sK27),
inference(cnf_transformation,[],[f230]) ).
fof(f230,plain,
( v1_funct_1(sK27)
& v1_relat_1(sK27) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK27])],[f49,f229]) ).
fof(f229,plain,
( ? [X0] :
( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ( v1_funct_1(sK27)
& v1_relat_1(sK27) ) ),
introduced(choice_axiom,[]) ).
fof(f49,axiom,
? [X0] :
( v1_funct_1(X0)
& v1_relat_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_funct_1) ).
fof(f531,plain,
spl30_31,
inference(avatar_split_clause,[],[f366,f528]) ).
fof(f528,plain,
( spl30_31
<=> v1_relat_1(sK27) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_31])]) ).
fof(f366,plain,
v1_relat_1(sK27),
inference(cnf_transformation,[],[f230]) ).
fof(f526,plain,
spl30_30,
inference(avatar_split_clause,[],[f365,f523]) ).
fof(f523,plain,
( spl30_30
<=> v1_funct_1(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_30])]) ).
fof(f365,plain,
v1_funct_1(sK26),
inference(cnf_transformation,[],[f228]) ).
fof(f228,plain,
( v1_funct_1(sK26)
& v1_xboole_0(sK26)
& v1_relat_1(sK26) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK26])],[f56,f227]) ).
fof(f227,plain,
( ? [X0] :
( v1_funct_1(X0)
& v1_xboole_0(X0)
& v1_relat_1(X0) )
=> ( v1_funct_1(sK26)
& v1_xboole_0(sK26)
& v1_relat_1(sK26) ) ),
introduced(choice_axiom,[]) ).
fof(f56,axiom,
? [X0] :
( v1_funct_1(X0)
& v1_xboole_0(X0)
& v1_relat_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_funct_1) ).
fof(f521,plain,
spl30_29,
inference(avatar_split_clause,[],[f364,f518]) ).
fof(f364,plain,
v1_xboole_0(sK26),
inference(cnf_transformation,[],[f228]) ).
fof(f516,plain,
spl30_28,
inference(avatar_split_clause,[],[f363,f513]) ).
fof(f363,plain,
v1_relat_1(sK26),
inference(cnf_transformation,[],[f228]) ).
fof(f511,plain,
spl30_27,
inference(avatar_split_clause,[],[f362,f508]) ).
fof(f362,plain,
v1_group_1(sK25),
inference(cnf_transformation,[],[f226]) ).
fof(f226,plain,
( v1_group_1(sK25)
& l1_group_1(sK25) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25])],[f51,f225]) ).
fof(f225,plain,
( ? [X0] :
( v1_group_1(X0)
& l1_group_1(X0) )
=> ( v1_group_1(sK25)
& l1_group_1(sK25) ) ),
introduced(choice_axiom,[]) ).
fof(f51,axiom,
? [X0] :
( v1_group_1(X0)
& l1_group_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_group_1) ).
fof(f506,plain,
spl30_26,
inference(avatar_split_clause,[],[f361,f503]) ).
fof(f361,plain,
l1_group_1(sK25),
inference(cnf_transformation,[],[f226]) ).
fof(f501,plain,
spl30_25,
inference(avatar_split_clause,[],[f360,f498]) ).
fof(f360,plain,
v4_group_1(sK24),
inference(cnf_transformation,[],[f224]) ).
fof(f224,plain,
( v4_group_1(sK24)
& v3_group_1(sK24)
& v1_group_1(sK24)
& ~ v3_struct_0(sK24)
& l1_group_1(sK24) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK24])],[f89,f223]) ).
fof(f223,plain,
( ? [X0] :
( v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0)
& l1_group_1(X0) )
=> ( v4_group_1(sK24)
& v3_group_1(sK24)
& v1_group_1(sK24)
& ~ v3_struct_0(sK24)
& l1_group_1(sK24) ) ),
introduced(choice_axiom,[]) ).
fof(f89,plain,
? [X0] :
( v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0)
& l1_group_1(X0) ),
inference(pure_predicate_removal,[],[f61]) ).
fof(f61,axiom,
? [X0] :
( v4_group_1(X0)
& v3_group_1(X0)
& v2_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0)
& l1_group_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_group_1) ).
fof(f496,plain,
spl30_24,
inference(avatar_split_clause,[],[f359,f493]) ).
fof(f359,plain,
v3_group_1(sK24),
inference(cnf_transformation,[],[f224]) ).
fof(f491,plain,
spl30_23,
inference(avatar_split_clause,[],[f358,f488]) ).
fof(f358,plain,
v1_group_1(sK24),
inference(cnf_transformation,[],[f224]) ).
fof(f486,plain,
~ spl30_22,
inference(avatar_split_clause,[],[f357,f483]) ).
fof(f357,plain,
~ v3_struct_0(sK24),
inference(cnf_transformation,[],[f224]) ).
fof(f481,plain,
spl30_21,
inference(avatar_split_clause,[],[f356,f478]) ).
fof(f356,plain,
l1_group_1(sK24),
inference(cnf_transformation,[],[f224]) ).
fof(f476,plain,
spl30_20,
inference(avatar_split_clause,[],[f355,f473]) ).
fof(f355,plain,
v1_group_1(sK23),
inference(cnf_transformation,[],[f222]) ).
fof(f222,plain,
( v1_group_1(sK23)
& ~ v3_struct_0(sK23)
& l1_group_1(sK23) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK23])],[f57,f221]) ).
fof(f221,plain,
( ? [X0] :
( v1_group_1(X0)
& ~ v3_struct_0(X0)
& l1_group_1(X0) )
=> ( v1_group_1(sK23)
& ~ v3_struct_0(sK23)
& l1_group_1(sK23) ) ),
introduced(choice_axiom,[]) ).
fof(f57,axiom,
? [X0] :
( v1_group_1(X0)
& ~ v3_struct_0(X0)
& l1_group_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_group_1) ).
fof(f471,plain,
~ spl30_19,
inference(avatar_split_clause,[],[f354,f468]) ).
fof(f354,plain,
~ v3_struct_0(sK23),
inference(cnf_transformation,[],[f222]) ).
fof(f466,plain,
spl30_18,
inference(avatar_split_clause,[],[f353,f463]) ).
fof(f353,plain,
l1_group_1(sK23),
inference(cnf_transformation,[],[f222]) ).
fof(f461,plain,
~ spl30_17,
inference(avatar_split_clause,[],[f352,f458]) ).
fof(f458,plain,
( spl30_17
<=> v3_struct_0(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_17])]) ).
fof(f352,plain,
~ v3_struct_0(sK22),
inference(cnf_transformation,[],[f220]) ).
fof(f220,plain,
( ~ v3_struct_0(sK22)
& l1_struct_0(sK22) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f62,f219]) ).
fof(f219,plain,
( ? [X0] :
( ~ v3_struct_0(X0)
& l1_struct_0(X0) )
=> ( ~ v3_struct_0(sK22)
& l1_struct_0(sK22) ) ),
introduced(choice_axiom,[]) ).
fof(f62,axiom,
? [X0] :
( ~ v3_struct_0(X0)
& l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_struct_0) ).
fof(f456,plain,
spl30_16,
inference(avatar_split_clause,[],[f351,f453]) ).
fof(f453,plain,
( spl30_16
<=> l1_struct_0(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_16])]) ).
fof(f351,plain,
l1_struct_0(sK22),
inference(cnf_transformation,[],[f220]) ).
fof(f451,plain,
spl30_15,
inference(avatar_split_clause,[],[f350,f448]) ).
fof(f448,plain,
( spl30_15
<=> v1_fraenkel(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_15])]) ).
fof(f350,plain,
v1_fraenkel(sK21),
inference(cnf_transformation,[],[f218]) ).
fof(f218,plain,
( v1_fraenkel(sK21)
& ~ v1_xboole_0(sK21) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21])],[f48,f217]) ).
fof(f217,plain,
( ? [X0] :
( v1_fraenkel(X0)
& ~ v1_xboole_0(X0) )
=> ( v1_fraenkel(sK21)
& ~ v1_xboole_0(sK21) ) ),
introduced(choice_axiom,[]) ).
fof(f48,axiom,
? [X0] :
( v1_fraenkel(X0)
& ~ v1_xboole_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_fraenkel) ).
fof(f446,plain,
~ spl30_14,
inference(avatar_split_clause,[],[f349,f443]) ).
fof(f443,plain,
( spl30_14
<=> v1_xboole_0(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_14])]) ).
fof(f349,plain,
~ v1_xboole_0(sK21),
inference(cnf_transformation,[],[f218]) ).
fof(f441,plain,
spl30_13,
inference(avatar_split_clause,[],[f348,f438]) ).
fof(f348,plain,
v1_xboole_0(sK20),
inference(cnf_transformation,[],[f216]) ).
fof(f216,plain,
v1_xboole_0(sK20),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20])],[f55,f215]) ).
fof(f215,plain,
( ? [X0] : v1_xboole_0(X0)
=> v1_xboole_0(sK20) ),
introduced(choice_axiom,[]) ).
fof(f55,axiom,
? [X0] : v1_xboole_0(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_xboole_0) ).
fof(f436,plain,
spl30_12,
inference(avatar_split_clause,[],[f347,f433]) ).
fof(f347,plain,
l1_group_1(sK19),
inference(cnf_transformation,[],[f214]) ).
fof(f214,plain,
l1_group_1(sK19),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f36,f213]) ).
fof(f213,plain,
( ? [X0] : l1_group_1(X0)
=> l1_group_1(sK19) ),
introduced(choice_axiom,[]) ).
fof(f36,axiom,
? [X0] : l1_group_1(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_l1_group_1) ).
fof(f431,plain,
spl30_11,
inference(avatar_split_clause,[],[f346,f428]) ).
fof(f428,plain,
( spl30_11
<=> l1_struct_0(sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_11])]) ).
fof(f346,plain,
l1_struct_0(sK18),
inference(cnf_transformation,[],[f212]) ).
fof(f212,plain,
l1_struct_0(sK18),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f37,f211]) ).
fof(f211,plain,
( ? [X0] : l1_struct_0(X0)
=> l1_struct_0(sK18) ),
introduced(choice_axiom,[]) ).
fof(f37,axiom,
? [X0] : l1_struct_0(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_l1_struct_0) ).
fof(f426,plain,
~ spl30_10,
inference(avatar_split_clause,[],[f345,f423]) ).
fof(f423,plain,
( spl30_10
<=> v1_xboole_0(sK17) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_10])]) ).
fof(f345,plain,
~ v1_xboole_0(sK17),
inference(cnf_transformation,[],[f210]) ).
fof(f210,plain,
~ v1_xboole_0(sK17),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f59,f209]) ).
fof(f209,plain,
( ? [X0] : ~ v1_xboole_0(X0)
=> ~ v1_xboole_0(sK17) ),
introduced(choice_axiom,[]) ).
fof(f59,axiom,
? [X0] : ~ v1_xboole_0(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_xboole_0) ).
fof(f421,plain,
spl30_9,
inference(avatar_split_clause,[],[f244,f418]) ).
fof(f244,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f46]) ).
fof(f46,axiom,
v1_xboole_0(k1_xboole_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(f416,plain,
spl30_8,
inference(avatar_split_clause,[],[f374,f413]) ).
fof(f374,plain,
m2_fraenkel(sK5,u1_struct_0(sK3),u1_struct_0(sK3),k4_autgroup(sK3)),
inference(definition_unfolding,[],[f240,f242]) ).
fof(f242,plain,
sK4 = sK5,
inference(cnf_transformation,[],[f181]) ).
fof(f181,plain,
( k2_funct_1(sK4) != k3_group_1(k5_autgroup(sK3),sK5)
& sK4 = sK5
& m1_subset_1(sK5,u1_struct_0(k5_autgroup(sK3)))
& m2_fraenkel(sK4,u1_struct_0(sK3),u1_struct_0(sK3),k4_autgroup(sK3))
& l1_group_1(sK3)
& v4_group_1(sK3)
& v3_group_1(sK3)
& v1_group_1(sK3)
& ~ v3_struct_0(sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5])],[f91,f180,f179,f178]) ).
fof(f178,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( k2_funct_1(X1) != k3_group_1(k5_autgroup(X0),X2)
& X1 = X2
& m1_subset_1(X2,u1_struct_0(k5_autgroup(X0))) )
& m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) )
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( ? [X1] :
( ? [X2] :
( k2_funct_1(X1) != k3_group_1(k5_autgroup(sK3),X2)
& X1 = X2
& m1_subset_1(X2,u1_struct_0(k5_autgroup(sK3))) )
& m2_fraenkel(X1,u1_struct_0(sK3),u1_struct_0(sK3),k4_autgroup(sK3)) )
& l1_group_1(sK3)
& v4_group_1(sK3)
& v3_group_1(sK3)
& v1_group_1(sK3)
& ~ v3_struct_0(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f179,plain,
( ? [X1] :
( ? [X2] :
( k2_funct_1(X1) != k3_group_1(k5_autgroup(sK3),X2)
& X1 = X2
& m1_subset_1(X2,u1_struct_0(k5_autgroup(sK3))) )
& m2_fraenkel(X1,u1_struct_0(sK3),u1_struct_0(sK3),k4_autgroup(sK3)) )
=> ( ? [X2] :
( k3_group_1(k5_autgroup(sK3),X2) != k2_funct_1(sK4)
& sK4 = X2
& m1_subset_1(X2,u1_struct_0(k5_autgroup(sK3))) )
& m2_fraenkel(sK4,u1_struct_0(sK3),u1_struct_0(sK3),k4_autgroup(sK3)) ) ),
introduced(choice_axiom,[]) ).
fof(f180,plain,
( ? [X2] :
( k3_group_1(k5_autgroup(sK3),X2) != k2_funct_1(sK4)
& sK4 = X2
& m1_subset_1(X2,u1_struct_0(k5_autgroup(sK3))) )
=> ( k2_funct_1(sK4) != k3_group_1(k5_autgroup(sK3),sK5)
& sK4 = sK5
& m1_subset_1(sK5,u1_struct_0(k5_autgroup(sK3))) ) ),
introduced(choice_axiom,[]) ).
fof(f91,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k2_funct_1(X1) != k3_group_1(k5_autgroup(X0),X2)
& X1 = X2
& m1_subset_1(X2,u1_struct_0(k5_autgroup(X0))) )
& m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) )
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f90]) ).
fof(f90,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k2_funct_1(X1) != k3_group_1(k5_autgroup(X0),X2)
& X1 = X2
& m1_subset_1(X2,u1_struct_0(k5_autgroup(X0))) )
& m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) )
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(k5_autgroup(X0)))
=> ( X1 = X2
=> k2_funct_1(X1) = k3_group_1(k5_autgroup(X0),X2) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(k5_autgroup(X0)))
=> ( X1 = X2
=> k2_funct_1(X1) = k3_group_1(k5_autgroup(X0),X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t22_autgroup) ).
fof(f240,plain,
m2_fraenkel(sK4,u1_struct_0(sK3),u1_struct_0(sK3),k4_autgroup(sK3)),
inference(cnf_transformation,[],[f181]) ).
fof(f411,plain,
~ spl30_7,
inference(avatar_split_clause,[],[f373,f408]) ).
fof(f373,plain,
k3_group_1(k5_autgroup(sK3),sK5) != k2_funct_1(sK5),
inference(definition_unfolding,[],[f243,f242]) ).
fof(f243,plain,
k2_funct_1(sK4) != k3_group_1(k5_autgroup(sK3),sK5),
inference(cnf_transformation,[],[f181]) ).
fof(f406,plain,
spl30_6,
inference(avatar_split_clause,[],[f241,f403]) ).
fof(f241,plain,
m1_subset_1(sK5,u1_struct_0(k5_autgroup(sK3))),
inference(cnf_transformation,[],[f181]) ).
fof(f401,plain,
spl30_5,
inference(avatar_split_clause,[],[f239,f398]) ).
fof(f239,plain,
l1_group_1(sK3),
inference(cnf_transformation,[],[f181]) ).
fof(f396,plain,
spl30_4,
inference(avatar_split_clause,[],[f238,f393]) ).
fof(f238,plain,
v4_group_1(sK3),
inference(cnf_transformation,[],[f181]) ).
fof(f391,plain,
spl30_3,
inference(avatar_split_clause,[],[f237,f388]) ).
fof(f237,plain,
v3_group_1(sK3),
inference(cnf_transformation,[],[f181]) ).
fof(f386,plain,
spl30_2,
inference(avatar_split_clause,[],[f236,f383]) ).
fof(f236,plain,
v1_group_1(sK3),
inference(cnf_transformation,[],[f181]) ).
fof(f381,plain,
~ spl30_1,
inference(avatar_split_clause,[],[f235,f378]) ).
fof(f235,plain,
~ v3_struct_0(sK3),
inference(cnf_transformation,[],[f181]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : GRP628+1 : TPTP v8.1.2. Released v3.4.0.
% 0.08/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n015.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 04:45:18 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (16254)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (16257)WARNING: value z3 for option sas not known
% 0.14/0.38 % (16255)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (16258)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (16256)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (16259)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.38 % (16257)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (16260)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.38 % (16261)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.38 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 TRYING [3]
% 0.21/0.41 TRYING [1]
% 0.21/0.41 TRYING [2]
% 0.21/0.42 TRYING [4]
% 0.21/0.46 TRYING [3]
% 0.21/0.47 % (16259)First to succeed.
% 0.21/0.49 % (16259)Refutation found. Thanks to Tanya!
% 0.21/0.49 % SZS status Theorem for theBenchmark
% 0.21/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.50 % (16259)------------------------------
% 0.21/0.50 % (16259)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.50 % (16259)Termination reason: Refutation
% 0.21/0.50
% 0.21/0.50 % (16259)Memory used [KB]: 2657
% 0.21/0.50 % (16259)Time elapsed: 0.111 s
% 0.21/0.50 % (16259)Instructions burned: 188 (million)
% 0.21/0.50 % (16259)------------------------------
% 0.21/0.50 % (16259)------------------------------
% 0.21/0.50 % (16254)Success in time 0.127 s
%------------------------------------------------------------------------------