TSTP Solution File: NUM612+3 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM612+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 08:40:16 EDT 2024
% Result : Theorem 2.02s 0.73s
% Output : Refutation 2.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 1017
% Syntax : Number of formulae : 3252 ( 496 unt; 0 def)
% Number of atoms : 12444 (1310 equ)
% Maximal formula atoms : 47 ( 3 avg)
% Number of connectives : 15260 (6068 ~;6154 |;1765 &)
% ( 967 <=>; 306 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 880 ( 878 usr; 822 prp; 0-4 aty)
% Number of functors : 78 ( 78 usr; 18 con; 0-4 aty)
% Number of variables : 4044 (3790 !; 254 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12063,plain,
$false,
inference(avatar_sat_refutation,[],[f1079,f1084,f1089,f1094,f1099,f1104,f1109,f1114,f1119,f1124,f1129,f1134,f1139,f1144,f1149,f1154,f1159,f1168,f1174,f1179,f1184,f1189,f1194,f1199,f1204,f1209,f1214,f1219,f1224,f1229,f1234,f1239,f1244,f1248,f1253,f1258,f1263,f1268,f1273,f1278,f1283,f1288,f1293,f1298,f1304,f1309,f1313,f1317,f1321,f1325,f1329,f1333,f1338,f1343,f1348,f1352,f1357,f1361,f1366,f1371,f1375,f1379,f1384,f1389,f1397,f1404,f1408,f1412,f1416,f1420,f1425,f1429,f1433,f1437,f1441,f1445,f1449,f1454,f1466,f1471,f1476,f1483,f1488,f1494,f1498,f1502,f1506,f1510,f1514,f1518,f1523,f1527,f1532,f1542,f1550,f1554,f1558,f1562,f1566,f1570,f1575,f1579,f1583,f1587,f1591,f1595,f1599,f1603,f1607,f1611,f1616,f1624,f1652,f1656,f1662,f1666,f1670,f1674,f1678,f1682,f1686,f1695,f1700,f1704,f1708,f1712,f1716,f1720,f1724,f1728,f1732,f1736,f1740,f1744,f1748,f1752,f1756,f1760,f1809,f1814,f1818,f1822,f1829,f1833,f1837,f1841,f1845,f1849,f1853,f1857,f1861,f1865,f1869,f1893,f1913,f1917,f1921,f1925,f1930,f1934,f1938,f1942,f1946,f1950,f1954,f1959,f1963,f1967,f1971,f1975,f1979,f1983,f1987,f1991,f1995,f1999,f2003,f2007,f2011,f2015,f2028,f2104,f2108,f2112,f2116,f2120,f2125,f2144,f2148,f2152,f2156,f2160,f2165,f2169,f2173,f2177,f2181,f2185,f2189,f2193,f2197,f2201,f2205,f2211,f2215,f2219,f2223,f2266,f2305,f2352,f2356,f2360,f2364,f2368,f2372,f2376,f2381,f2385,f2442,f2447,f2451,f2455,f2459,f2463,f2467,f2471,f2475,f2479,f2483,f2487,f2492,f2496,f2500,f2504,f2508,f2512,f2516,f2520,f2524,f2531,f2544,f2581,f2585,f2590,f2595,f2604,f2608,f2612,f2616,f2620,f2656,f2660,f2664,f2668,f2672,f2676,f2680,f2684,f2688,f2692,f2696,f2700,f2704,f2708,f2712,f2716,f2720,f2724,f2728,f2732,f2736,f2740,f2896,f2900,f2919,f2923,f2927,f2931,f2935,f2939,f2943,f2947,f2951,f2955,f2959,f2963,f2967,f2971,f2975,f2979,f3047,f3051,f3055,f3059,f3063,f3077,f3094,f3098,f3102,f3106,f3110,f3114,f3118,f3122,f3127,f3131,f3135,f3139,f3143,f3147,f3151,f3155,f3159,f3163,f3167,f3172,f3176,f3180,f3184,f3188,f3192,f3196,f3200,f3204,f3208,f3219,f3295,f3433,f3482,f3486,f3490,f3495,f3499,f3503,f3507,f3511,f3515,f3519,f3523,f3527,f3531,f3535,f3540,f3544,f3548,f3552,f3556,f3560,f3564,f3568,f3572,f3576,f3580,f3585,f3589,f3593,f3597,f3601,f3605,f3609,f3613,f3617,f3621,f3642,f3708,f4047,f4083,f4087,f4091,f4114,f4118,f4122,f4126,f4130,f4134,f4139,f4393,f4397,f4401,f4405,f4410,f4414,f4418,f4422,f4426,f4430,f4434,f4438,f4442,f4446,f4450,f4460,f4464,f4468,f4717,f4721,f4725,f4747,f4751,f4755,f4759,f4763,f4767,f4773,f4777,f4781,f4785,f4789,f4793,f4797,f4801,f5296,f5322,f5326,f5330,f5334,f5338,f5342,f5350,f5354,f5358,f5362,f5595,f5599,f5629,f5633,f5653,f5657,f5661,f5665,f5669,f5673,f5677,f5681,f5734,f5977,f5981,f5986,f5990,f5994,f5998,f6002,f6068,f6072,f6076,f6080,f6110,f6114,f6118,f6122,f6131,f6135,f6139,f6143,f6147,f6151,f6388,f6394,f6398,f6496,f6502,f6506,f6513,f6517,f6522,f6526,f6530,f6534,f6538,f6542,f6546,f6550,f6554,f6558,f6595,f6822,f6826,f6832,f6838,f6842,f6876,f6880,f6930,f6935,f6948,f6954,f6959,f6964,f6965,f6987,f6999,f7004,f7009,f7014,f7019,f7023,f7027,f7031,f7036,f7041,f7050,f7056,f7061,f7065,f7069,f7078,f7216,f7220,f7225,f7233,f7238,f7242,f7252,f7262,f7267,f7276,f7285,f7290,f7295,f7300,f7305,f7310,f7316,f7320,f7329,f7341,f7346,f7357,f7362,f7461,f7465,f7469,f7473,f7477,f7481,f7521,f7526,f7531,f7536,f7540,f7544,f7549,f7557,f7561,f7566,f7571,f7580,f7584,f7623,f7627,f7631,f7636,f7640,f7644,f7648,f7652,f7656,f7660,f7664,f7686,f7695,f7721,f7763,f7767,f7813,f7824,f7835,f7840,f7851,f7857,f7870,f7883,f7897,f7901,f7914,f7927,f7940,f7953,f7972,f7976,f7980,f7989,f7998,f8074,f8085,f8091,f8120,f8125,f8129,f8134,f8143,f8148,f8158,f8163,f8167,f8173,f8177,f8181,f8185,f8190,f8195,f8243,f8292,f8517,f8522,f8527,f8531,f8535,f8539,f8544,f8660,f8746,f8750,f8754,f8807,f8814,f8830,f8837,f8925,f8926,f8961,f8970,f8976,f8983,f9115,f9140,f9155,f9166,f9183,f9187,f9195,f9199,f9202,f9232,f9237,f9241,f9247,f9252,f9257,f9261,f9265,f9286,f9307,f9328,f9354,f9359,f9369,f9373,f9377,f9381,f9385,f9389,f9390,f9565,f9595,f9775,f9782,f9802,f9895,f9899,f9904,f9913,f9922,f9927,f9935,f9943,f9947,f9951,f9955,f9959,f9964,f9971,f10221,f10226,f10249,f10253,f10257,f10262,f10266,f10270,f10274,f10278,f10282,f10286,f10291,f10296,f10302,f10306,f10310,f10314,f10318,f10322,f10326,f10331,f10335,f10339,f10344,f10352,f10356,f10500,f10534,f10542,f10576,f10584,f10590,f10600,f10610,f10622,f10626,f10630,f10634,f10643,f10652,f10661,f10670,f10679,f10688,f10697,f10701,f10706,f10711,f10742,f10747,f10755,f10810,f10814,f10819,f10823,f10827,f10831,f10850,f10858,f10862,f10866,f10871,f10877,f10881,f10885,f10890,f10895,f10901,f10905,f10910,f10944,f10948,f10952,f11018,f11390,f11399,f11404,f11408,f11447,f11451,f11455,f11459,f11467,f11472,f11482,f11486,f11490,f11498,f11502,f11509,f11513,f11522,f11531,f11540,f11544,f11548,f11552,f11557,f11562,f11567,f11572,f11610,f11615,f11620,f11650,f11651,f11692,f11697,f11706,f11711,f11716,f11724,f11733,f11738,f11810,f11815,f11819,f11896,f11929,f11934,f11943,f12062]) ).
fof(f12062,plain,
( ~ spl96_13
| ~ spl96_533
| spl96_20
| ~ spl96_22
| ~ spl96_40
| ~ spl96_85
| ~ spl96_343 ),
inference(avatar_split_clause,[],[f3750,f3533,f1491,f1270,f1181,f1171,f7338,f1136]) ).
fof(f1136,plain,
( spl96_13
<=> aSet0(xQ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_13])]) ).
fof(f7338,plain,
( spl96_533
<=> isFinite0(xQ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_533])]) ).
fof(f1171,plain,
( spl96_20
<=> xK = szszuzczcdt0(sbrdtbr0(xP)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_20])]) ).
fof(f1181,plain,
( spl96_22
<=> aElementOf0(xp,xQ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_22])]) ).
fof(f1270,plain,
( spl96_40
<=> xK = sbrdtbr0(xQ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_40])]) ).
fof(f1491,plain,
( spl96_85
<=> xP = sdtmndt0(xQ,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_85])]) ).
fof(f3533,plain,
( spl96_343
<=> ! [X0,X1] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))
| ~ aElementOf0(X1,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_343])]) ).
fof(f3750,plain,
( xK = szszuzczcdt0(sbrdtbr0(xP))
| ~ isFinite0(xQ)
| ~ aSet0(xQ)
| ~ spl96_22
| ~ spl96_40
| ~ spl96_85
| ~ spl96_343 ),
inference(forward_demodulation,[],[f3749,f1272]) ).
fof(f1272,plain,
( xK = sbrdtbr0(xQ)
| ~ spl96_40 ),
inference(avatar_component_clause,[],[f1270]) ).
fof(f3749,plain,
( sbrdtbr0(xQ) = szszuzczcdt0(sbrdtbr0(xP))
| ~ isFinite0(xQ)
| ~ aSet0(xQ)
| ~ spl96_22
| ~ spl96_85
| ~ spl96_343 ),
inference(forward_demodulation,[],[f3730,f1493]) ).
fof(f1493,plain,
( xP = sdtmndt0(xQ,xp)
| ~ spl96_85 ),
inference(avatar_component_clause,[],[f1491]) ).
fof(f3730,plain,
( sbrdtbr0(xQ) = szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xp)))
| ~ isFinite0(xQ)
| ~ aSet0(xQ)
| ~ spl96_22
| ~ spl96_343 ),
inference(resolution,[],[f3534,f1183]) ).
fof(f1183,plain,
( aElementOf0(xp,xQ)
| ~ spl96_22 ),
inference(avatar_component_clause,[],[f1181]) ).
fof(f3534,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,X0)
| sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl96_343 ),
inference(avatar_component_clause,[],[f3533]) ).
fof(f11943,plain,
( spl96_821
| ~ spl96_19
| ~ spl96_295 ),
inference(avatar_split_clause,[],[f6979,f3057,f1165,f11941]) ).
fof(f11941,plain,
( spl96_821
<=> ! [X0] :
( ~ isCountable0(X0)
| aElementOf0(sK66(X0),X0)
| ~ aSet0(X0)
| sP24(X0,sbrdtbr0(xP)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_821])]) ).
fof(f1165,plain,
( spl96_19
<=> aElementOf0(sbrdtbr0(xP),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_19])]) ).
fof(f3057,plain,
( spl96_295
<=> ! [X0,X1] :
( sP24(X1,X0)
| ~ isCountable0(X1)
| aElementOf0(sK66(X1),X1)
| ~ aSet0(X1)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_295])]) ).
fof(f6979,plain,
( ! [X0] :
( ~ isCountable0(X0)
| aElementOf0(sK66(X0),X0)
| ~ aSet0(X0)
| sP24(X0,sbrdtbr0(xP)) )
| ~ spl96_19
| ~ spl96_295 ),
inference(resolution,[],[f1166,f3058]) ).
fof(f3058,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ isCountable0(X1)
| aElementOf0(sK66(X1),X1)
| ~ aSet0(X1)
| sP24(X1,X0) )
| ~ spl96_295 ),
inference(avatar_component_clause,[],[f3057]) ).
fof(f1166,plain,
( aElementOf0(sbrdtbr0(xP),szNzAzT0)
| ~ spl96_19 ),
inference(avatar_component_clause,[],[f1165]) ).
fof(f11934,plain,
( ~ spl96_15
| spl96_820
| ~ spl96_19
| ~ spl96_263 ),
inference(avatar_split_clause,[],[f6981,f2698,f1165,f11931,f1146]) ).
fof(f1146,plain,
( spl96_15
<=> aSet0(szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_15])]) ).
fof(f11931,plain,
( spl96_820
<=> szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sbrdtbr0(xP)),sbrdtbr0(xP)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_820])]) ).
fof(f2698,plain,
( spl96_263
<=> ! [X0,X1] :
( sdtpldt0(sdtmndt0(X0,X1),X1) = X0
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_263])]) ).
fof(f6981,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sbrdtbr0(xP)),sbrdtbr0(xP))
| ~ aSet0(szNzAzT0)
| ~ spl96_19
| ~ spl96_263 ),
inference(resolution,[],[f1166,f2699]) ).
fof(f2699,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,X0)
| sdtpldt0(sdtmndt0(X0,X1),X1) = X0
| ~ aSet0(X0) )
| ~ spl96_263 ),
inference(avatar_component_clause,[],[f2698]) ).
fof(f11929,plain,
( spl96_819
| ~ spl96_19
| ~ spl96_249 ),
inference(avatar_split_clause,[],[f6978,f2610,f1165,f11927]) ).
fof(f11927,plain,
( spl96_819
<=> ! [X0] :
( sbrdtbr0(xP) = X0
| sP35(X0,sbrdtbr0(xP))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_819])]) ).
fof(f2610,plain,
( spl96_249
<=> ! [X0,X1] :
( sP35(X0,X1)
| X0 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_249])]) ).
fof(f6978,plain,
( ! [X0] :
( sbrdtbr0(xP) = X0
| sP35(X0,sbrdtbr0(xP))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_19
| ~ spl96_249 ),
inference(resolution,[],[f1166,f2611]) ).
fof(f2611,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| X0 = X1
| sP35(X0,X1)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_249 ),
inference(avatar_component_clause,[],[f2610]) ).
fof(f11896,plain,
( spl96_817
| spl96_818
| ~ spl96_19
| ~ spl96_236 ),
inference(avatar_split_clause,[],[f6977,f2506,f1165,f11893,f11889]) ).
fof(f11889,plain,
( spl96_817
<=> sbrdtbr0(xP) = szszuzczcdt0(sK84(sbrdtbr0(xP))) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_817])]) ).
fof(f11893,plain,
( spl96_818
<=> sz00 = sbrdtbr0(xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_818])]) ).
fof(f2506,plain,
( spl96_236
<=> ! [X0] :
( szszuzczcdt0(sK84(X0)) = X0
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_236])]) ).
fof(f6977,plain,
( sz00 = sbrdtbr0(xP)
| sbrdtbr0(xP) = szszuzczcdt0(sK84(sbrdtbr0(xP)))
| ~ spl96_19
| ~ spl96_236 ),
inference(resolution,[],[f1166,f2507]) ).
fof(f2507,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sz00 = X0
| szszuzczcdt0(sK84(X0)) = X0 )
| ~ spl96_236 ),
inference(avatar_component_clause,[],[f2506]) ).
fof(f11819,plain,
( spl96_816
| ~ spl96_19
| ~ spl96_215 ),
inference(avatar_split_clause,[],[f6976,f2366,f1165,f11817]) ).
fof(f11817,plain,
( spl96_816
<=> ! [X0] :
( sP15(sbrdtbr0(xP),X0)
| ~ aSet0(X0)
| sP16(sbrdtbr0(xP),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_816])]) ).
fof(f2366,plain,
( spl96_215
<=> ! [X0,X1] :
( sP16(X0,X1)
| sP15(X0,X1)
| ~ aSet0(X1)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_215])]) ).
fof(f6976,plain,
( ! [X0] :
( sP15(sbrdtbr0(xP),X0)
| ~ aSet0(X0)
| sP16(sbrdtbr0(xP),X0) )
| ~ spl96_19
| ~ spl96_215 ),
inference(resolution,[],[f1166,f2367]) ).
fof(f2367,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| sP15(X0,X1)
| ~ aSet0(X1)
| sP16(X0,X1) )
| ~ spl96_215 ),
inference(avatar_component_clause,[],[f2366]) ).
fof(f11815,plain,
( spl96_815
| ~ spl96_19
| ~ spl96_211 ),
inference(avatar_split_clause,[],[f6975,f2350,f1165,f11812]) ).
fof(f11812,plain,
( spl96_815
<=> szmzizndt0(sdtlpdtrp0(xN,sbrdtbr0(xP))) = sdtlpdtrp0(xe,sbrdtbr0(xP)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_815])]) ).
fof(f2350,plain,
( spl96_211
<=> ! [X0] :
( szmzizndt0(sdtlpdtrp0(xN,X0)) = sdtlpdtrp0(xe,X0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_211])]) ).
fof(f6975,plain,
( szmzizndt0(sdtlpdtrp0(xN,sbrdtbr0(xP))) = sdtlpdtrp0(xe,sbrdtbr0(xP))
| ~ spl96_19
| ~ spl96_211 ),
inference(resolution,[],[f1166,f2351]) ).
fof(f2351,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| szmzizndt0(sdtlpdtrp0(xN,X0)) = sdtlpdtrp0(xe,X0) )
| ~ spl96_211 ),
inference(avatar_component_clause,[],[f2350]) ).
fof(f11810,plain,
( spl96_814
| ~ spl96_48
| ~ spl96_491 ),
inference(avatar_split_clause,[],[f9685,f6984,f1311,f11807]) ).
fof(f11807,plain,
( spl96_814
<=> sP5(sbrdtbr0(xP)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_814])]) ).
fof(f1311,plain,
( spl96_48
<=> ! [X0] :
( sP5(X0)
| ~ sP8(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_48])]) ).
fof(f6984,plain,
( spl96_491
<=> sP8(sbrdtbr0(xP)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_491])]) ).
fof(f9685,plain,
( sP5(sbrdtbr0(xP))
| ~ spl96_48
| ~ spl96_491 ),
inference(resolution,[],[f6986,f1312]) ).
fof(f1312,plain,
( ! [X0] :
( ~ sP8(X0)
| sP5(X0) )
| ~ spl96_48 ),
inference(avatar_component_clause,[],[f1311]) ).
fof(f6986,plain,
( sP8(sbrdtbr0(xP))
| ~ spl96_491 ),
inference(avatar_component_clause,[],[f6984]) ).
fof(f11738,plain,
( spl96_813
| ~ spl96_19
| ~ spl96_150 ),
inference(avatar_split_clause,[],[f6973,f1851,f1165,f11735]) ).
fof(f11735,plain,
( spl96_813
<=> sbrdtbr0(xP) = sbrdtbr0(slbdtrb0(sbrdtbr0(xP))) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_813])]) ).
fof(f1851,plain,
( spl96_150
<=> ! [X0] :
( sbrdtbr0(slbdtrb0(X0)) = X0
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_150])]) ).
fof(f6973,plain,
( sbrdtbr0(xP) = sbrdtbr0(slbdtrb0(sbrdtbr0(xP)))
| ~ spl96_19
| ~ spl96_150 ),
inference(resolution,[],[f1166,f1852]) ).
fof(f1852,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sbrdtbr0(slbdtrb0(X0)) = X0 )
| ~ spl96_150 ),
inference(avatar_component_clause,[],[f1851]) ).
fof(f11733,plain,
( spl96_812
| ~ spl96_19
| ~ spl96_151 ),
inference(avatar_split_clause,[],[f6974,f1855,f1165,f11731]) ).
fof(f11731,plain,
( spl96_812
<=> ! [X0] :
( sP47(X0,sbrdtbr0(xP))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_812])]) ).
fof(f1855,plain,
( spl96_151
<=> ! [X0,X1] :
( sP47(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_151])]) ).
fof(f6974,plain,
( ! [X0] :
( sP47(X0,sbrdtbr0(xP))
| ~ aSet0(X0) )
| ~ spl96_19
| ~ spl96_151 ),
inference(resolution,[],[f1166,f1856]) ).
fof(f1856,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| sP47(X0,X1)
| ~ aSet0(X0) )
| ~ spl96_151 ),
inference(avatar_component_clause,[],[f1855]) ).
fof(f11724,plain,
( spl96_811
| ~ spl96_19
| ~ spl96_107 ),
inference(avatar_split_clause,[],[f6971,f1593,f1165,f11721]) ).
fof(f11721,plain,
( spl96_811
<=> sdtlseqdt0(sbrdtbr0(xP),sbrdtbr0(xP)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_811])]) ).
fof(f1593,plain,
( spl96_107
<=> ! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_107])]) ).
fof(f6971,plain,
( sdtlseqdt0(sbrdtbr0(xP),sbrdtbr0(xP))
| ~ spl96_19
| ~ spl96_107 ),
inference(resolution,[],[f1166,f1594]) ).
fof(f1594,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,X0) )
| ~ spl96_107 ),
inference(avatar_component_clause,[],[f1593]) ).
fof(f11716,plain,
( spl96_810
| ~ spl96_19
| ~ spl96_108 ),
inference(avatar_split_clause,[],[f6972,f1597,f1165,f11713]) ).
fof(f11713,plain,
( spl96_810
<=> sdtlseqdt0(sz00,sbrdtbr0(xP)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_810])]) ).
fof(f1597,plain,
( spl96_108
<=> ! [X0] :
( sdtlseqdt0(sz00,X0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_108])]) ).
fof(f6972,plain,
( sdtlseqdt0(sz00,sbrdtbr0(xP))
| ~ spl96_19
| ~ spl96_108 ),
inference(resolution,[],[f1166,f1598]) ).
fof(f1598,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(sz00,X0) )
| ~ spl96_108 ),
inference(avatar_component_clause,[],[f1597]) ).
fof(f11711,plain,
( spl96_809
| ~ spl96_49
| ~ spl96_491 ),
inference(avatar_split_clause,[],[f9684,f6984,f1315,f11708]) ).
fof(f11708,plain,
( spl96_809
<=> sP6(sbrdtbr0(xP)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_809])]) ).
fof(f1315,plain,
( spl96_49
<=> ! [X0] :
( sP6(X0)
| ~ sP8(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_49])]) ).
fof(f9684,plain,
( sP6(sbrdtbr0(xP))
| ~ spl96_49
| ~ spl96_491 ),
inference(resolution,[],[f6986,f1316]) ).
fof(f1316,plain,
( ! [X0] :
( ~ sP8(X0)
| sP6(X0) )
| ~ spl96_49 ),
inference(avatar_component_clause,[],[f1315]) ).
fof(f11706,plain,
( spl96_808
| ~ spl96_19
| ~ spl96_106 ),
inference(avatar_split_clause,[],[f6970,f1589,f1165,f11703]) ).
fof(f11703,plain,
( spl96_808
<=> isFinite0(slbdtrb0(sbrdtbr0(xP))) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_808])]) ).
fof(f1589,plain,
( spl96_106
<=> ! [X0] :
( isFinite0(slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_106])]) ).
fof(f6970,plain,
( isFinite0(slbdtrb0(sbrdtbr0(xP)))
| ~ spl96_19
| ~ spl96_106 ),
inference(resolution,[],[f1166,f1590]) ).
fof(f1590,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| isFinite0(slbdtrb0(X0)) )
| ~ spl96_106 ),
inference(avatar_component_clause,[],[f1589]) ).
fof(f11697,plain,
( spl96_807
| ~ spl96_19
| ~ spl96_78 ),
inference(avatar_split_clause,[],[f6969,f1447,f1165,f11694]) ).
fof(f11694,plain,
( spl96_807
<=> sP41(sbrdtbr0(xP)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_807])]) ).
fof(f1447,plain,
( spl96_78
<=> ! [X0] :
( sP41(X0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_78])]) ).
fof(f6969,plain,
( sP41(sbrdtbr0(xP))
| ~ spl96_19
| ~ spl96_78 ),
inference(resolution,[],[f1166,f1448]) ).
fof(f1448,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sP41(X0) )
| ~ spl96_78 ),
inference(avatar_component_clause,[],[f1447]) ).
fof(f11692,plain,
( spl96_806
| ~ spl96_19
| ~ spl96_62 ),
inference(avatar_split_clause,[],[f6968,f1373,f1165,f11689]) ).
fof(f11689,plain,
( spl96_806
<=> sP11(sbrdtbr0(xP)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_806])]) ).
fof(f1373,plain,
( spl96_62
<=> ! [X0] :
( sP11(X0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_62])]) ).
fof(f6968,plain,
( sP11(sbrdtbr0(xP))
| ~ spl96_19
| ~ spl96_62 ),
inference(resolution,[],[f1166,f1374]) ).
fof(f1374,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sP11(X0) )
| ~ spl96_62 ),
inference(avatar_component_clause,[],[f1373]) ).
fof(f11651,plain,
( ~ spl96_13
| spl96_533
| ~ spl96_23
| ~ spl96_40
| ~ spl96_148 ),
inference(avatar_split_clause,[],[f1875,f1843,f1270,f1186,f7338,f1136]) ).
fof(f1186,plain,
( spl96_23
<=> aElementOf0(xK,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_23])]) ).
fof(f1843,plain,
( spl96_148
<=> ! [X0] :
( isFinite0(X0)
| ~ aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_148])]) ).
fof(f1875,plain,
( ~ aElementOf0(xK,szNzAzT0)
| isFinite0(xQ)
| ~ aSet0(xQ)
| ~ spl96_40
| ~ spl96_148 ),
inference(superposition,[],[f1844,f1272]) ).
fof(f1844,plain,
( ! [X0] :
( ~ aElementOf0(sbrdtbr0(X0),szNzAzT0)
| isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl96_148 ),
inference(avatar_component_clause,[],[f1843]) ).
fof(f11650,plain,
( ~ spl96_23
| ~ spl96_117
| spl96_516 ),
inference(avatar_split_clause,[],[f7253,f7249,f1664,f1186]) ).
fof(f1664,plain,
( spl96_117
<=> ! [X0] :
( aSet0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_117])]) ).
fof(f7249,plain,
( spl96_516
<=> aSet0(sdtlpdtrp0(xN,xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_516])]) ).
fof(f7253,plain,
( ~ aElementOf0(xK,szNzAzT0)
| ~ spl96_117
| spl96_516 ),
inference(resolution,[],[f7250,f1665]) ).
fof(f1665,plain,
( ! [X0] :
( aSet0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_117 ),
inference(avatar_component_clause,[],[f1664]) ).
fof(f7250,plain,
( ~ aSet0(sdtlpdtrp0(xN,xK))
| spl96_516 ),
inference(avatar_component_clause,[],[f7249]) ).
fof(f11620,plain,
( spl96_805
| ~ spl96_58
| ~ spl96_66
| ~ spl96_378
| ~ spl96_804 ),
inference(avatar_split_clause,[],[f11616,f11613,f4391,f1394,f1354,f11618]) ).
fof(f11618,plain,
( spl96_805
<=> ! [X0] :
( ~ aElementOf0(X0,szDzozmdt0(sdtlpdtrp0(xC,sz00)))
| ~ sP15(sz00,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_805])]) ).
fof(f1354,plain,
( spl96_58
<=> xS = sdtlpdtrp0(xN,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_58])]) ).
fof(f1394,plain,
( spl96_66
<=> sP8(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_66])]) ).
fof(f4391,plain,
( spl96_378
<=> ! [X0] :
( slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk) = szDzozmdt0(sdtlpdtrp0(xC,X0))
| ~ sP8(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_378])]) ).
fof(f11613,plain,
( spl96_804
<=> ! [X0] :
( ~ aElementOf0(X0,slbdtsldtrb0(sdtmndt0(xS,szmzizndt0(xS)),xk))
| ~ sP15(sz00,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_804])]) ).
fof(f11616,plain,
( ! [X0] :
( ~ aElementOf0(X0,szDzozmdt0(sdtlpdtrp0(xC,sz00)))
| ~ sP15(sz00,X0) )
| ~ spl96_58
| ~ spl96_66
| ~ spl96_378
| ~ spl96_804 ),
inference(forward_demodulation,[],[f11614,f4472]) ).
fof(f4472,plain,
( slbdtsldtrb0(sdtmndt0(xS,szmzizndt0(xS)),xk) = szDzozmdt0(sdtlpdtrp0(xC,sz00))
| ~ spl96_58
| ~ spl96_66
| ~ spl96_378 ),
inference(forward_demodulation,[],[f4469,f1356]) ).
fof(f1356,plain,
( xS = sdtlpdtrp0(xN,sz00)
| ~ spl96_58 ),
inference(avatar_component_clause,[],[f1354]) ).
fof(f4469,plain,
( slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sz00),szmzizndt0(sdtlpdtrp0(xN,sz00))),xk) = szDzozmdt0(sdtlpdtrp0(xC,sz00))
| ~ spl96_66
| ~ spl96_378 ),
inference(resolution,[],[f4392,f1396]) ).
fof(f1396,plain,
( sP8(sz00)
| ~ spl96_66 ),
inference(avatar_component_clause,[],[f1394]) ).
fof(f4392,plain,
( ! [X0] :
( ~ sP8(X0)
| slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk) = szDzozmdt0(sdtlpdtrp0(xC,X0)) )
| ~ spl96_378 ),
inference(avatar_component_clause,[],[f4391]) ).
fof(f11614,plain,
( ! [X0] :
( ~ aElementOf0(X0,slbdtsldtrb0(sdtmndt0(xS,szmzizndt0(xS)),xk))
| ~ sP15(sz00,X0) )
| ~ spl96_804 ),
inference(avatar_component_clause,[],[f11613]) ).
fof(f11615,plain,
( spl96_804
| ~ spl96_58
| ~ spl96_335 ),
inference(avatar_split_clause,[],[f3664,f3501,f1354,f11613]) ).
fof(f3501,plain,
( spl96_335
<=> ! [X0,X1] :
( ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
| ~ sP15(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_335])]) ).
fof(f3664,plain,
( ! [X0] :
( ~ aElementOf0(X0,slbdtsldtrb0(sdtmndt0(xS,szmzizndt0(xS)),xk))
| ~ sP15(sz00,X0) )
| ~ spl96_58
| ~ spl96_335 ),
inference(superposition,[],[f3502,f1356]) ).
fof(f3502,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
| ~ sP15(X0,X1) )
| ~ spl96_335 ),
inference(avatar_component_clause,[],[f3501]) ).
fof(f11610,plain,
( ~ spl96_802
| spl96_803
| ~ spl96_58
| ~ spl96_334 ),
inference(avatar_split_clause,[],[f3656,f3497,f1354,f11607,f11603]) ).
fof(f11603,plain,
( spl96_802
<=> sP10(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_802])]) ).
fof(f11607,plain,
( spl96_803
<=> aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(sz00)),sdtmndt0(xS,szmzizndt0(xS))) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_803])]) ).
fof(f3497,plain,
( spl96_334
<=> ! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP10(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_334])]) ).
fof(f3656,plain,
( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(sz00)),sdtmndt0(xS,szmzizndt0(xS)))
| ~ sP10(sz00)
| ~ spl96_58
| ~ spl96_334 ),
inference(superposition,[],[f3498,f1356]) ).
fof(f3498,plain,
( ! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP10(X0) )
| ~ spl96_334 ),
inference(avatar_component_clause,[],[f3497]) ).
fof(f11572,plain,
( spl96_801
| ~ spl96_58
| ~ spl96_66
| ~ spl96_378
| ~ spl96_800 ),
inference(avatar_split_clause,[],[f11568,f11565,f4391,f1394,f1354,f11570]) ).
fof(f11570,plain,
( spl96_801
<=> ! [X0] :
( ~ aElementOf0(X0,szDzozmdt0(sdtlpdtrp0(xC,sz00)))
| ~ sP4(sz00,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_801])]) ).
fof(f11565,plain,
( spl96_800
<=> ! [X0] :
( ~ aElementOf0(X0,slbdtsldtrb0(sdtmndt0(xS,szmzizndt0(xS)),xk))
| ~ sP4(sz00,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_800])]) ).
fof(f11568,plain,
( ! [X0] :
( ~ aElementOf0(X0,szDzozmdt0(sdtlpdtrp0(xC,sz00)))
| ~ sP4(sz00,X0) )
| ~ spl96_58
| ~ spl96_66
| ~ spl96_378
| ~ spl96_800 ),
inference(forward_demodulation,[],[f11566,f4472]) ).
fof(f11566,plain,
( ! [X0] :
( ~ aElementOf0(X0,slbdtsldtrb0(sdtmndt0(xS,szmzizndt0(xS)),xk))
| ~ sP4(sz00,X0) )
| ~ spl96_800 ),
inference(avatar_component_clause,[],[f11565]) ).
fof(f11567,plain,
( spl96_800
| ~ spl96_58
| ~ spl96_332 ),
inference(avatar_split_clause,[],[f3649,f3488,f1354,f11565]) ).
fof(f3488,plain,
( spl96_332
<=> ! [X0,X1] :
( ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_332])]) ).
fof(f3649,plain,
( ! [X0] :
( ~ aElementOf0(X0,slbdtsldtrb0(sdtmndt0(xS,szmzizndt0(xS)),xk))
| ~ sP4(sz00,X0) )
| ~ spl96_58
| ~ spl96_332 ),
inference(superposition,[],[f3489,f1356]) ).
fof(f3489,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
| ~ sP4(X0,X1) )
| ~ spl96_332 ),
inference(avatar_component_clause,[],[f3488]) ).
fof(f11562,plain,
( ~ spl96_493
| ~ spl96_6
| spl96_799
| spl96_46
| ~ spl96_319 ),
inference(avatar_split_clause,[],[f3417,f3178,f1301,f11559,f1101,f7001]) ).
fof(f7001,plain,
( spl96_493
<=> aElement0(xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_493])]) ).
fof(f1101,plain,
( spl96_6
<=> aSet0(xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_6])]) ).
fof(f11559,plain,
( spl96_799
<=> xP = sdtmndt0(sdtpldt0(xP,xp),xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_799])]) ).
fof(f1301,plain,
( spl96_46
<=> aElementOf0(xp,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_46])]) ).
fof(f3178,plain,
( spl96_319
<=> ! [X0,X1] :
( sdtmndt0(sdtpldt0(X1,X0),X0) = X1
| aElementOf0(X0,X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_319])]) ).
fof(f3417,plain,
( xP = sdtmndt0(sdtpldt0(xP,xp),xp)
| ~ aSet0(xP)
| ~ aElement0(xp)
| spl96_46
| ~ spl96_319 ),
inference(resolution,[],[f3179,f1303]) ).
fof(f1303,plain,
( ~ aElementOf0(xp,xP)
| spl96_46 ),
inference(avatar_component_clause,[],[f1301]) ).
fof(f3179,plain,
( ! [X0,X1] :
( aElementOf0(X0,X1)
| sdtmndt0(sdtpldt0(X1,X0),X0) = X1
| ~ aSet0(X1)
| ~ aElement0(X0) )
| ~ spl96_319 ),
inference(avatar_component_clause,[],[f3178]) ).
fof(f11557,plain,
( spl96_798
| ~ spl96_108
| ~ spl96_382 ),
inference(avatar_split_clause,[],[f6914,f4407,f1597,f11554]) ).
fof(f11554,plain,
( spl96_798
<=> sdtlseqdt0(sz00,sK76) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_798])]) ).
fof(f4407,plain,
( spl96_382
<=> aElementOf0(sK76,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_382])]) ).
fof(f6914,plain,
( sdtlseqdt0(sz00,sK76)
| ~ spl96_108
| ~ spl96_382 ),
inference(resolution,[],[f4409,f1598]) ).
fof(f4409,plain,
( aElementOf0(sK76,szNzAzT0)
| ~ spl96_382 ),
inference(avatar_component_clause,[],[f4407]) ).
fof(f11552,plain,
( spl96_797
| ~ spl96_26
| ~ spl96_295 ),
inference(avatar_split_clause,[],[f3084,f3057,f1201,f11550]) ).
fof(f11550,plain,
( spl96_797
<=> ! [X0] :
( ~ isCountable0(X0)
| aElementOf0(sK66(X0),X0)
| ~ aSet0(X0)
| sP24(X0,xk) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_797])]) ).
fof(f1201,plain,
( spl96_26
<=> aElementOf0(xk,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_26])]) ).
fof(f3084,plain,
( ! [X0] :
( ~ isCountable0(X0)
| aElementOf0(sK66(X0),X0)
| ~ aSet0(X0)
| sP24(X0,xk) )
| ~ spl96_26
| ~ spl96_295 ),
inference(resolution,[],[f3058,f1203]) ).
fof(f1203,plain,
( aElementOf0(xk,szNzAzT0)
| ~ spl96_26 ),
inference(avatar_component_clause,[],[f1201]) ).
fof(f11548,plain,
( spl96_796
| ~ spl96_23
| ~ spl96_295 ),
inference(avatar_split_clause,[],[f3083,f3057,f1186,f11546]) ).
fof(f11546,plain,
( spl96_796
<=> ! [X0] :
( ~ isCountable0(X0)
| aElementOf0(sK66(X0),X0)
| ~ aSet0(X0)
| sP24(X0,xK) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_796])]) ).
fof(f3083,plain,
( ! [X0] :
( ~ isCountable0(X0)
| aElementOf0(sK66(X0),X0)
| ~ aSet0(X0)
| sP24(X0,xK) )
| ~ spl96_23
| ~ spl96_295 ),
inference(resolution,[],[f3058,f1188]) ).
fof(f1188,plain,
( aElementOf0(xK,szNzAzT0)
| ~ spl96_23 ),
inference(avatar_component_clause,[],[f1186]) ).
fof(f11544,plain,
( spl96_795
| ~ spl96_34
| ~ spl96_295 ),
inference(avatar_split_clause,[],[f3078,f3057,f1241,f11542]) ).
fof(f11542,plain,
( spl96_795
<=> ! [X0] :
( ~ isCountable0(X0)
| aElementOf0(sK66(X0),X0)
| ~ aSet0(X0)
| sP24(X0,sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_795])]) ).
fof(f1241,plain,
( spl96_34
<=> aElementOf0(sz00,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_34])]) ).
fof(f3078,plain,
( ! [X0] :
( ~ isCountable0(X0)
| aElementOf0(sK66(X0),X0)
| ~ aSet0(X0)
| sP24(X0,sz00) )
| ~ spl96_34
| ~ spl96_295 ),
inference(resolution,[],[f3058,f1243]) ).
fof(f1243,plain,
( aElementOf0(sz00,szNzAzT0)
| ~ spl96_34 ),
inference(avatar_component_clause,[],[f1241]) ).
fof(f11540,plain,
( ~ spl96_1
| ~ spl96_16
| spl96_793
| ~ spl96_794
| ~ spl96_36
| ~ spl96_283 ),
inference(avatar_split_clause,[],[f3009,f2945,f1250,f11537,f11533,f1151,f1076]) ).
fof(f1076,plain,
( spl96_1
<=> aFunction0(xe) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_1])]) ).
fof(f1151,plain,
( spl96_16
<=> isCountable0(szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_16])]) ).
fof(f11533,plain,
( spl96_793
<=> aElement0(szDzizrdt0(xe)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_793])]) ).
fof(f11537,plain,
( spl96_794
<=> isFinite0(sdtlcdtrc0(xe,szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_794])]) ).
fof(f1250,plain,
( spl96_36
<=> szNzAzT0 = szDzozmdt0(xe) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_36])]) ).
fof(f2945,plain,
( spl96_283
<=> ! [X0] :
( aElement0(szDzizrdt0(X0))
| ~ isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ isCountable0(szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_283])]) ).
fof(f3009,plain,
( ~ isFinite0(sdtlcdtrc0(xe,szNzAzT0))
| aElement0(szDzizrdt0(xe))
| ~ isCountable0(szNzAzT0)
| ~ aFunction0(xe)
| ~ spl96_36
| ~ spl96_283 ),
inference(superposition,[],[f2946,f1252]) ).
fof(f1252,plain,
( szNzAzT0 = szDzozmdt0(xe)
| ~ spl96_36 ),
inference(avatar_component_clause,[],[f1250]) ).
fof(f2946,plain,
( ! [X0] :
( ~ isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| aElement0(szDzizrdt0(X0))
| ~ isCountable0(szDzozmdt0(X0))
| ~ aFunction0(X0) )
| ~ spl96_283 ),
inference(avatar_component_clause,[],[f2945]) ).
fof(f11531,plain,
( ~ spl96_3
| ~ spl96_16
| spl96_791
| ~ spl96_792
| ~ spl96_37
| ~ spl96_283 ),
inference(avatar_split_clause,[],[f3008,f2945,f1255,f11528,f11524,f1151,f1086]) ).
fof(f1086,plain,
( spl96_3
<=> aFunction0(xC) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_3])]) ).
fof(f11524,plain,
( spl96_791
<=> aElement0(szDzizrdt0(xC)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_791])]) ).
fof(f11528,plain,
( spl96_792
<=> isFinite0(sdtlcdtrc0(xC,szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_792])]) ).
fof(f1255,plain,
( spl96_37
<=> szNzAzT0 = szDzozmdt0(xC) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_37])]) ).
fof(f3008,plain,
( ~ isFinite0(sdtlcdtrc0(xC,szNzAzT0))
| aElement0(szDzizrdt0(xC))
| ~ isCountable0(szNzAzT0)
| ~ aFunction0(xC)
| ~ spl96_37
| ~ spl96_283 ),
inference(superposition,[],[f2946,f1257]) ).
fof(f1257,plain,
( szNzAzT0 = szDzozmdt0(xC)
| ~ spl96_37 ),
inference(avatar_component_clause,[],[f1255]) ).
fof(f11522,plain,
( ~ spl96_5
| ~ spl96_16
| spl96_789
| ~ spl96_790
| ~ spl96_39
| ~ spl96_283 ),
inference(avatar_split_clause,[],[f3007,f2945,f1265,f11519,f11515,f1151,f1096]) ).
fof(f1096,plain,
( spl96_5
<=> aFunction0(xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_5])]) ).
fof(f11515,plain,
( spl96_789
<=> aElement0(szDzizrdt0(xN)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_789])]) ).
fof(f11519,plain,
( spl96_790
<=> isFinite0(sdtlcdtrc0(xN,szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_790])]) ).
fof(f1265,plain,
( spl96_39
<=> szNzAzT0 = szDzozmdt0(xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_39])]) ).
fof(f3007,plain,
( ~ isFinite0(sdtlcdtrc0(xN,szNzAzT0))
| aElement0(szDzizrdt0(xN))
| ~ isCountable0(szNzAzT0)
| ~ aFunction0(xN)
| ~ spl96_39
| ~ spl96_283 ),
inference(superposition,[],[f2946,f1267]) ).
fof(f1267,plain,
( szNzAzT0 = szDzozmdt0(xN)
| ~ spl96_39 ),
inference(avatar_component_clause,[],[f1265]) ).
fof(f11513,plain,
( spl96_788
| ~ spl96_58
| ~ spl96_280 ),
inference(avatar_split_clause,[],[f2998,f2933,f1354,f11511]) ).
fof(f11511,plain,
( spl96_788
<=> ! [X0,X1] :
( ~ aElementOf0(X0,sdtpldt0(X1,szmzizndt0(xS)))
| aElement0(X0)
| ~ sP14(sz00,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_788])]) ).
fof(f2933,plain,
( spl96_280
<=> ! [X2,X0,X1] :
( aElement0(X2)
| ~ aElementOf0(X2,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP14(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_280])]) ).
fof(f2998,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,sdtpldt0(X1,szmzizndt0(xS)))
| aElement0(X0)
| ~ sP14(sz00,X1) )
| ~ spl96_58
| ~ spl96_280 ),
inference(superposition,[],[f2934,f1356]) ).
fof(f2934,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X2,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| aElement0(X2)
| ~ sP14(X0,X1) )
| ~ spl96_280 ),
inference(avatar_component_clause,[],[f2933]) ).
fof(f11509,plain,
( spl96_787
| ~ spl96_58
| ~ spl96_277 ),
inference(avatar_split_clause,[],[f2986,f2921,f1354,f11507]) ).
fof(f11507,plain,
( spl96_787
<=> ! [X0,X1] :
( ~ aElementOf0(X0,sdtpldt0(X1,szmzizndt0(xS)))
| aElement0(X0)
| ~ sP3(sz00,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_787])]) ).
fof(f2921,plain,
( spl96_277
<=> ! [X2,X0,X1] :
( aElement0(X2)
| ~ aElementOf0(X2,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_277])]) ).
fof(f2986,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,sdtpldt0(X1,szmzizndt0(xS)))
| aElement0(X0)
| ~ sP3(sz00,X1) )
| ~ spl96_58
| ~ spl96_277 ),
inference(superposition,[],[f2922,f1356]) ).
fof(f2922,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X2,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| aElement0(X2)
| ~ sP3(X0,X1) )
| ~ spl96_277 ),
inference(avatar_component_clause,[],[f2921]) ).
fof(f11502,plain,
( ~ spl96_9
| spl96_786
| ~ spl96_63
| ~ spl96_265 ),
inference(avatar_split_clause,[],[f2828,f2706,f1377,f11500,f1116]) ).
fof(f1116,plain,
( spl96_9
<=> aSet0(xO) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_9])]) ).
fof(f11500,plain,
( spl96_786
<=> ! [X0] :
( aSubsetOf0(xO,X0)
| sP34(sK83(X0,xO))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_786])]) ).
fof(f1377,plain,
( spl96_63
<=> ! [X0] :
( sP34(X0)
| ~ aElementOf0(X0,xO) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_63])]) ).
fof(f2706,plain,
( spl96_265
<=> ! [X0,X1] :
( aSubsetOf0(X1,X0)
| aElementOf0(sK83(X0,X1),X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_265])]) ).
fof(f2828,plain,
( ! [X0] :
( aSubsetOf0(xO,X0)
| ~ aSet0(xO)
| ~ aSet0(X0)
| sP34(sK83(X0,xO)) )
| ~ spl96_63
| ~ spl96_265 ),
inference(resolution,[],[f2707,f1378]) ).
fof(f1378,plain,
( ! [X0] :
( ~ aElementOf0(X0,xO)
| sP34(X0) )
| ~ spl96_63 ),
inference(avatar_component_clause,[],[f1377]) ).
fof(f2707,plain,
( ! [X0,X1] :
( aElementOf0(sK83(X0,X1),X1)
| aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ~ aSet0(X0) )
| ~ spl96_265 ),
inference(avatar_component_clause,[],[f2706]) ).
fof(f11498,plain,
( ~ spl96_15
| spl96_785
| ~ spl96_62
| ~ spl96_265 ),
inference(avatar_split_clause,[],[f2797,f2706,f1373,f11496,f1146]) ).
fof(f11496,plain,
( spl96_785
<=> ! [X0] :
( aSubsetOf0(szNzAzT0,X0)
| sP11(sK83(X0,szNzAzT0))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_785])]) ).
fof(f2797,plain,
( ! [X0] :
( aSubsetOf0(szNzAzT0,X0)
| ~ aSet0(szNzAzT0)
| ~ aSet0(X0)
| sP11(sK83(X0,szNzAzT0)) )
| ~ spl96_62
| ~ spl96_265 ),
inference(resolution,[],[f2707,f1374]) ).
fof(f11490,plain,
( ~ spl96_15
| spl96_784
| ~ spl96_57
| ~ spl96_265 ),
inference(avatar_split_clause,[],[f2796,f2706,f1350,f11488,f1146]) ).
fof(f11488,plain,
( spl96_784
<=> ! [X0] :
( aSubsetOf0(szNzAzT0,X0)
| sP8(sK83(X0,szNzAzT0))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_784])]) ).
fof(f1350,plain,
( spl96_57
<=> ! [X0] :
( sP8(X0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_57])]) ).
fof(f2796,plain,
( ! [X0] :
( aSubsetOf0(szNzAzT0,X0)
| ~ aSet0(szNzAzT0)
| ~ aSet0(X0)
| sP8(sK83(X0,szNzAzT0)) )
| ~ spl96_57
| ~ spl96_265 ),
inference(resolution,[],[f2707,f1351]) ).
fof(f1351,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sP8(X0) )
| ~ spl96_57 ),
inference(avatar_component_clause,[],[f1350]) ).
fof(f11486,plain,
( spl96_783
| ~ spl96_40
| ~ spl96_264 ),
inference(avatar_split_clause,[],[f2789,f2702,f1270,f11484]) ).
fof(f11484,plain,
( spl96_783
<=> ! [X0] :
( sdtlseqdt0(xK,sbrdtbr0(X0))
| ~ aSubsetOf0(xQ,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_783])]) ).
fof(f2702,plain,
( spl96_264
<=> ! [X0,X1] :
( sdtlseqdt0(sbrdtbr0(X1),sbrdtbr0(X0))
| ~ aSubsetOf0(X1,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_264])]) ).
fof(f2789,plain,
( ! [X0] :
( sdtlseqdt0(xK,sbrdtbr0(X0))
| ~ aSubsetOf0(xQ,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl96_40
| ~ spl96_264 ),
inference(superposition,[],[f2703,f1272]) ).
fof(f2703,plain,
( ! [X0,X1] :
( sdtlseqdt0(sbrdtbr0(X1),sbrdtbr0(X0))
| ~ aSubsetOf0(X1,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl96_264 ),
inference(avatar_component_clause,[],[f2702]) ).
fof(f11482,plain,
( spl96_782
| ~ spl96_107
| ~ spl96_382 ),
inference(avatar_split_clause,[],[f6913,f4407,f1593,f11479]) ).
fof(f11479,plain,
( spl96_782
<=> sdtlseqdt0(sK76,sK76) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_782])]) ).
fof(f6913,plain,
( sdtlseqdt0(sK76,sK76)
| ~ spl96_107
| ~ spl96_382 ),
inference(resolution,[],[f4409,f1594]) ).
fof(f11472,plain,
( ~ spl96_7
| spl96_781
| ~ spl96_43
| ~ spl96_263 ),
inference(avatar_split_clause,[],[f2768,f2698,f1285,f11469,f1106]) ).
fof(f1106,plain,
( spl96_7
<=> aSet0(xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_7])]) ).
fof(f11469,plain,
( spl96_781
<=> xT = sdtpldt0(sdtmndt0(xT,szDzizrdt0(xd)),szDzizrdt0(xd)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_781])]) ).
fof(f1285,plain,
( spl96_43
<=> aElementOf0(szDzizrdt0(xd),xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_43])]) ).
fof(f2768,plain,
( xT = sdtpldt0(sdtmndt0(xT,szDzizrdt0(xd)),szDzizrdt0(xd))
| ~ aSet0(xT)
| ~ spl96_43
| ~ spl96_263 ),
inference(resolution,[],[f2699,f1287]) ).
fof(f1287,plain,
( aElementOf0(szDzizrdt0(xd),xT)
| ~ spl96_43 ),
inference(avatar_component_clause,[],[f1285]) ).
fof(f11467,plain,
( spl96_779
| ~ spl96_780
| ~ spl96_40
| ~ spl96_253 ),
inference(avatar_split_clause,[],[f2742,f2658,f1270,f11464,f11461]) ).
fof(f11461,plain,
( spl96_779
<=> ! [X0] :
( aElementOf0(sK51(xQ,X0),xQ)
| ~ sP2(xQ,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_779])]) ).
fof(f11464,plain,
( spl96_780
<=> xK = xk ),
introduced(avatar_definition,[new_symbols(naming,[spl96_780])]) ).
fof(f2658,plain,
( spl96_253
<=> ! [X0,X1] :
( sbrdtbr0(X0) != xk
| aElementOf0(sK51(X0,X1),X0)
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_253])]) ).
fof(f2742,plain,
( ! [X0] :
( xK != xk
| aElementOf0(sK51(xQ,X0),xQ)
| ~ sP2(xQ,X0) )
| ~ spl96_40
| ~ spl96_253 ),
inference(superposition,[],[f2659,f1272]) ).
fof(f2659,plain,
( ! [X0,X1] :
( sbrdtbr0(X0) != xk
| aElementOf0(sK51(X0,X1),X0)
| ~ sP2(X0,X1) )
| ~ spl96_253 ),
inference(avatar_component_clause,[],[f2658]) ).
fof(f11459,plain,
( spl96_778
| ~ spl96_213
| ~ spl96_250 ),
inference(avatar_split_clause,[],[f2643,f2614,f2358,f11457]) ).
fof(f11457,plain,
( spl96_778
<=> ! [X0] :
( ~ aElementOf0(X0,szDzozmdt0(xc))
| aElementOf0(sK48(sdtlpdtrp0(xc,X0)),szDzozmdt0(xc)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_778])]) ).
fof(f2358,plain,
( spl96_213
<=> ! [X1] :
( aElementOf0(sK48(X1),szDzozmdt0(xc))
| ~ aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_213])]) ).
fof(f2614,plain,
( spl96_250
<=> ! [X2] :
( aElementOf0(sdtlpdtrp0(xc,X2),sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ~ aElementOf0(X2,szDzozmdt0(xc)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_250])]) ).
fof(f2643,plain,
( ! [X0] :
( ~ aElementOf0(X0,szDzozmdt0(xc))
| aElementOf0(sK48(sdtlpdtrp0(xc,X0)),szDzozmdt0(xc)) )
| ~ spl96_213
| ~ spl96_250 ),
inference(resolution,[],[f2615,f2359]) ).
fof(f2359,plain,
( ! [X1] :
( ~ aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| aElementOf0(sK48(X1),szDzozmdt0(xc)) )
| ~ spl96_213 ),
inference(avatar_component_clause,[],[f2358]) ).
fof(f2615,plain,
( ! [X2] :
( aElementOf0(sdtlpdtrp0(xc,X2),sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ~ aElementOf0(X2,szDzozmdt0(xc)) )
| ~ spl96_250 ),
inference(avatar_component_clause,[],[f2614]) ).
fof(f11455,plain,
( spl96_777
| ~ spl96_122
| ~ spl96_234 ),
inference(avatar_split_clause,[],[f2545,f2498,f1684,f11453]) ).
fof(f11453,plain,
( spl96_777
<=> ! [X0] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_777])]) ).
fof(f1684,plain,
( spl96_122
<=> ! [X0] :
( sP33(X0,sK73(X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_122])]) ).
fof(f2498,plain,
( spl96_234
<=> ! [X0,X1] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ sP33(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_234])]) ).
fof(f2545,plain,
( ! [X0] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_122
| ~ spl96_234 ),
inference(resolution,[],[f2499,f1685]) ).
fof(f1685,plain,
( ! [X0] :
( sP33(X0,sK73(X0))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_122 ),
inference(avatar_component_clause,[],[f1684]) ).
fof(f2499,plain,
( ! [X0,X1] :
( ~ sP33(X0,X1)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ spl96_234 ),
inference(avatar_component_clause,[],[f2498]) ).
fof(f11451,plain,
( spl96_776
| ~ spl96_189
| ~ spl96_214 ),
inference(avatar_split_clause,[],[f2406,f2362,f2142,f11449]) ).
fof(f11449,plain,
( spl96_776
<=> ! [X0] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sP8(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_776])]) ).
fof(f2142,plain,
( spl96_189
<=> ! [X0] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ sP8(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_189])]) ).
fof(f2362,plain,
( spl96_214
<=> ! [X0,X1] :
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_214])]) ).
fof(f2406,plain,
( ! [X0] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sP8(X0) )
| ~ spl96_189
| ~ spl96_214 ),
inference(resolution,[],[f2363,f2143]) ).
fof(f2143,plain,
( ! [X0] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ sP8(X0) )
| ~ spl96_189 ),
inference(avatar_component_clause,[],[f2142]) ).
fof(f2363,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_214 ),
inference(avatar_component_clause,[],[f2362]) ).
fof(f11447,plain,
( spl96_775
| ~ spl96_191
| ~ spl96_214 ),
inference(avatar_split_clause,[],[f2405,f2362,f2150,f11445]) ).
fof(f11445,plain,
( spl96_775
<=> ! [X0] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sP10(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_775])]) ).
fof(f2150,plain,
( spl96_191
<=> ! [X0] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ sP10(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_191])]) ).
fof(f2405,plain,
( ! [X0] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sP10(X0) )
| ~ spl96_191
| ~ spl96_214 ),
inference(resolution,[],[f2363,f2151]) ).
fof(f2151,plain,
( ! [X0] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ sP10(X0) )
| ~ spl96_191 ),
inference(avatar_component_clause,[],[f2150]) ).
fof(f11408,plain,
( ~ spl96_60
| spl96_774
| ~ spl96_130
| ~ spl96_185 ),
inference(avatar_split_clause,[],[f2132,f2110,f1722,f11406,f1363]) ).
fof(f1363,plain,
( spl96_60
<=> aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_60])]) ).
fof(f11406,plain,
( spl96_774
<=> ! [X0] :
( ~ aElementOf0(X0,xO)
| aElement0(sK54(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_774])]) ).
fof(f1722,plain,
( spl96_130
<=> ! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_130])]) ).
fof(f2110,plain,
( spl96_185
<=> ! [X0] :
( aElementOf0(sK54(X0),sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ aElementOf0(X0,xO) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_185])]) ).
fof(f2132,plain,
( ! [X0] :
( ~ aElementOf0(X0,xO)
| aElement0(sK54(X0))
| ~ aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd))) )
| ~ spl96_130
| ~ spl96_185 ),
inference(resolution,[],[f2111,f1723]) ).
fof(f1723,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1)
| ~ aSet0(X0) )
| ~ spl96_130 ),
inference(avatar_component_clause,[],[f1722]) ).
fof(f2111,plain,
( ! [X0] :
( aElementOf0(sK54(X0),sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ aElementOf0(X0,xO) )
| ~ spl96_185 ),
inference(avatar_component_clause,[],[f2110]) ).
fof(f11404,plain,
( spl96_773
| ~ spl96_106
| ~ spl96_382 ),
inference(avatar_split_clause,[],[f6912,f4407,f1589,f11401]) ).
fof(f11401,plain,
( spl96_773
<=> isFinite0(slbdtrb0(sK76)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_773])]) ).
fof(f6912,plain,
( isFinite0(slbdtrb0(sK76))
| ~ spl96_106
| ~ spl96_382 ),
inference(resolution,[],[f4409,f1590]) ).
fof(f11399,plain,
( spl96_771
| ~ spl96_502
| spl96_772
| ~ spl96_80
| ~ spl96_174 ),
inference(avatar_split_clause,[],[f2077,f1985,f1464,f11396,f7043,f11392]) ).
fof(f11392,plain,
( spl96_771
<=> aSet0(sK89(szDzozmdt0(xc))) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_771])]) ).
fof(f7043,plain,
( spl96_502
<=> aSet0(szDzozmdt0(xc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_502])]) ).
fof(f11396,plain,
( spl96_772
<=> slcrc0 = szDzozmdt0(xc) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_772])]) ).
fof(f1464,plain,
( spl96_80
<=> ! [X4] :
( aSet0(X4)
| ~ aElementOf0(X4,szDzozmdt0(xc)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_80])]) ).
fof(f1985,plain,
( spl96_174
<=> ! [X0] :
( slcrc0 = X0
| aElementOf0(sK89(X0),X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_174])]) ).
fof(f2077,plain,
( slcrc0 = szDzozmdt0(xc)
| ~ aSet0(szDzozmdt0(xc))
| aSet0(sK89(szDzozmdt0(xc)))
| ~ spl96_80
| ~ spl96_174 ),
inference(resolution,[],[f1986,f1465]) ).
fof(f1465,plain,
( ! [X4] :
( ~ aElementOf0(X4,szDzozmdt0(xc))
| aSet0(X4) )
| ~ spl96_80 ),
inference(avatar_component_clause,[],[f1464]) ).
fof(f1986,plain,
( ! [X0] :
( aElementOf0(sK89(X0),X0)
| slcrc0 = X0
| ~ aSet0(X0) )
| ~ spl96_174 ),
inference(avatar_component_clause,[],[f1985]) ).
fof(f11390,plain,
( spl96_770
| ~ spl96_109
| ~ spl96_118 ),
inference(avatar_split_clause,[],[f1689,f1668,f1601,f11388]) ).
fof(f11388,plain,
( spl96_770
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ isFinite0(sdtlpdtrp0(xN,X0))
| ~ aSet0(sdtlpdtrp0(xN,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_770])]) ).
fof(f1601,plain,
( spl96_109
<=> ! [X0] :
( ~ isFinite0(X0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_109])]) ).
fof(f1668,plain,
( spl96_118
<=> ! [X0] :
( isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_118])]) ).
fof(f1689,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ isFinite0(sdtlpdtrp0(xN,X0))
| ~ aSet0(sdtlpdtrp0(xN,X0)) )
| ~ spl96_109
| ~ spl96_118 ),
inference(resolution,[],[f1669,f1602]) ).
fof(f1602,plain,
( ! [X0] :
( ~ isCountable0(X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl96_109 ),
inference(avatar_component_clause,[],[f1601]) ).
fof(f1669,plain,
( ! [X0] :
( isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_118 ),
inference(avatar_component_clause,[],[f1668]) ).
fof(f11018,plain,
( spl96_769
| ~ spl96_108
| ~ spl96_344 ),
inference(avatar_split_clause,[],[f6886,f3537,f1597,f11015]) ).
fof(f11015,plain,
( spl96_769
<=> sdtlseqdt0(sz00,sK56) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_769])]) ).
fof(f3537,plain,
( spl96_344
<=> aElementOf0(sK56,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_344])]) ).
fof(f6886,plain,
( sdtlseqdt0(sz00,sK56)
| ~ spl96_108
| ~ spl96_344 ),
inference(resolution,[],[f3539,f1598]) ).
fof(f3539,plain,
( aElementOf0(sK56,szNzAzT0)
| ~ spl96_344 ),
inference(avatar_component_clause,[],[f3537]) ).
fof(f10952,plain,
( spl96_768
| ~ spl96_375 ),
inference(avatar_split_clause,[],[f4375,f4128,f10950]) ).
fof(f10950,plain,
( spl96_768
<=> ! [X0,X1] :
( aElementOf0(sK92(X0,X1,X1),X1)
| sP45(X0,X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_768])]) ).
fof(f4128,plain,
( spl96_375
<=> ! [X2,X0,X1] :
( sP45(X0,X1,X2)
| aElementOf0(sK92(X0,X1,X2),X1)
| aElementOf0(sK92(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_375])]) ).
fof(f4375,plain,
( ! [X0,X1] :
( aElementOf0(sK92(X0,X1,X1),X1)
| sP45(X0,X1,X1) )
| ~ spl96_375 ),
inference(factoring,[],[f4129]) ).
fof(f4129,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK92(X0,X1,X2),X2)
| aElementOf0(sK92(X0,X1,X2),X1)
| sP45(X0,X1,X2) )
| ~ spl96_375 ),
inference(avatar_component_clause,[],[f4128]) ).
fof(f10948,plain,
( spl96_767
| ~ spl96_35
| ~ spl96_375 ),
inference(avatar_split_clause,[],[f4308,f4128,f1246,f10946]) ).
fof(f10946,plain,
( spl96_767
<=> ! [X0,X1] :
( aElementOf0(sK92(X0,slcrc0,X1),X1)
| sP45(X0,slcrc0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_767])]) ).
fof(f1246,plain,
( spl96_35
<=> ! [X2] : ~ aElementOf0(X2,slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_35])]) ).
fof(f4308,plain,
( ! [X0,X1] :
( aElementOf0(sK92(X0,slcrc0,X1),X1)
| sP45(X0,slcrc0,X1) )
| ~ spl96_35
| ~ spl96_375 ),
inference(resolution,[],[f4129,f1247]) ).
fof(f1247,plain,
( ! [X2] : ~ aElementOf0(X2,slcrc0)
| ~ spl96_35 ),
inference(avatar_component_clause,[],[f1246]) ).
fof(f10944,plain,
( spl96_766
| ~ spl96_35
| ~ spl96_375 ),
inference(avatar_split_clause,[],[f4238,f4128,f1246,f10942]) ).
fof(f10942,plain,
( spl96_766
<=> ! [X0,X1] :
( aElementOf0(sK92(X0,X1,slcrc0),X1)
| sP45(X0,X1,slcrc0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_766])]) ).
fof(f4238,plain,
( ! [X0,X1] :
( aElementOf0(sK92(X0,X1,slcrc0),X1)
| sP45(X0,X1,slcrc0) )
| ~ spl96_35
| ~ spl96_375 ),
inference(resolution,[],[f4129,f1247]) ).
fof(f10910,plain,
( spl96_765
| ~ spl96_107
| ~ spl96_344 ),
inference(avatar_split_clause,[],[f6885,f3537,f1593,f10907]) ).
fof(f10907,plain,
( spl96_765
<=> sdtlseqdt0(sK56,sK56) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_765])]) ).
fof(f6885,plain,
( sdtlseqdt0(sK56,sK56)
| ~ spl96_107
| ~ spl96_344 ),
inference(resolution,[],[f3539,f1594]) ).
fof(f10905,plain,
( ~ spl96_15
| spl96_764
| ~ spl96_345 ),
inference(avatar_split_clause,[],[f3837,f3542,f10903,f1146]) ).
fof(f10903,plain,
( spl96_764
<=> ! [X0] :
( aElementOf0(sK85(X0,szNzAzT0),szNzAzT0)
| sP40(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_764])]) ).
fof(f3542,plain,
( spl96_345
<=> ! [X0,X1] :
( sP40(X0,X1)
| aElementOf0(sK85(X0,X1),szNzAzT0)
| aElementOf0(sK85(X0,X1),X1)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_345])]) ).
fof(f3837,plain,
( ! [X0] :
( aElementOf0(sK85(X0,szNzAzT0),szNzAzT0)
| sP40(X0,szNzAzT0)
| ~ aSet0(szNzAzT0) )
| ~ spl96_345 ),
inference(factoring,[],[f3543]) ).
fof(f3543,plain,
( ! [X0,X1] :
( aElementOf0(sK85(X0,X1),szNzAzT0)
| aElementOf0(sK85(X0,X1),X1)
| sP40(X0,X1)
| ~ aSet0(X1) )
| ~ spl96_345 ),
inference(avatar_component_clause,[],[f3542]) ).
fof(f10901,plain,
( spl96_763
| ~ spl96_112
| ~ spl96_240 ),
inference(avatar_split_clause,[],[f2577,f2522,f1613,f10899]) ).
fof(f10899,plain,
( spl96_763
<=> ! [X0,X1] :
( ~ sP46(sz00,X0,X1)
| ~ aSubsetOf0(slcrc0,X0)
| aElementOf0(slcrc0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_763])]) ).
fof(f1613,plain,
( spl96_112
<=> sz00 = sbrdtbr0(slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_112])]) ).
fof(f2522,plain,
( spl96_240
<=> ! [X2,X1,X4] :
( aElementOf0(X4,X2)
| ~ aSubsetOf0(X4,X1)
| ~ sP46(sbrdtbr0(X4),X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_240])]) ).
fof(f2577,plain,
( ! [X0,X1] :
( ~ sP46(sz00,X0,X1)
| ~ aSubsetOf0(slcrc0,X0)
| aElementOf0(slcrc0,X1) )
| ~ spl96_112
| ~ spl96_240 ),
inference(superposition,[],[f2523,f1615]) ).
fof(f1615,plain,
( sz00 = sbrdtbr0(slcrc0)
| ~ spl96_112 ),
inference(avatar_component_clause,[],[f1613]) ).
fof(f2523,plain,
( ! [X2,X1,X4] :
( ~ sP46(sbrdtbr0(X4),X1,X2)
| ~ aSubsetOf0(X4,X1)
| aElementOf0(X4,X2) )
| ~ spl96_240 ),
inference(avatar_component_clause,[],[f2522]) ).
fof(f10895,plain,
( spl96_762
| ~ spl96_660
| spl96_593
| ~ spl96_108
| ~ spl96_206 ),
inference(avatar_split_clause,[],[f2313,f2213,f1597,f7986,f9351,f10892]) ).
fof(f10892,plain,
( spl96_762
<=> sdtlseqdt0(sz00,szmzizndt0(szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_762])]) ).
fof(f9351,plain,
( spl96_660
<=> aSubsetOf0(szNzAzT0,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_660])]) ).
fof(f7986,plain,
( spl96_593
<=> slcrc0 = szNzAzT0 ),
introduced(avatar_definition,[new_symbols(naming,[spl96_593])]) ).
fof(f2213,plain,
( spl96_206
<=> ! [X0] :
( aElementOf0(szmzizndt0(X0),X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_206])]) ).
fof(f2313,plain,
( slcrc0 = szNzAzT0
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| sdtlseqdt0(sz00,szmzizndt0(szNzAzT0))
| ~ spl96_108
| ~ spl96_206 ),
inference(resolution,[],[f2214,f1598]) ).
fof(f2214,plain,
( ! [X0] :
( aElementOf0(szmzizndt0(X0),X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) )
| ~ spl96_206 ),
inference(avatar_component_clause,[],[f2213]) ).
fof(f10890,plain,
( spl96_761
| ~ spl96_660
| spl96_593
| ~ spl96_106
| ~ spl96_206 ),
inference(avatar_split_clause,[],[f2311,f2213,f1589,f7986,f9351,f10887]) ).
fof(f10887,plain,
( spl96_761
<=> isFinite0(slbdtrb0(szmzizndt0(szNzAzT0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_761])]) ).
fof(f2311,plain,
( slcrc0 = szNzAzT0
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| isFinite0(slbdtrb0(szmzizndt0(szNzAzT0)))
| ~ spl96_106
| ~ spl96_206 ),
inference(resolution,[],[f2214,f1590]) ).
fof(f10885,plain,
( spl96_760
| ~ spl96_113
| ~ spl96_201 ),
inference(avatar_split_clause,[],[f2287,f2191,f1622,f10883]) ).
fof(f10883,plain,
( spl96_760
<=> ! [X0,X1] :
( ~ aElementOf0(X0,slbdtrb0(X1))
| sdtlseqdt0(szszuzczcdt0(X0),X1)
| ~ sP41(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_760])]) ).
fof(f1622,plain,
( spl96_113
<=> ! [X0] :
( sP40(X0,slbdtrb0(X0))
| ~ sP41(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_113])]) ).
fof(f2191,plain,
( spl96_201
<=> ! [X0,X1,X3] :
( sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,X1)
| ~ sP40(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_201])]) ).
fof(f2287,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,slbdtrb0(X1))
| sdtlseqdt0(szszuzczcdt0(X0),X1)
| ~ sP41(X1) )
| ~ spl96_113
| ~ spl96_201 ),
inference(resolution,[],[f2192,f1623]) ).
fof(f1623,plain,
( ! [X0] :
( sP40(X0,slbdtrb0(X0))
| ~ sP41(X0) )
| ~ spl96_113 ),
inference(avatar_component_clause,[],[f1622]) ).
fof(f2192,plain,
( ! [X3,X0,X1] :
( ~ sP40(X0,X1)
| ~ aElementOf0(X3,X1)
| sdtlseqdt0(szszuzczcdt0(X3),X0) )
| ~ spl96_201 ),
inference(avatar_component_clause,[],[f2191]) ).
fof(f10881,plain,
( spl96_759
| ~ spl96_108
| ~ spl96_200 ),
inference(avatar_split_clause,[],[f2283,f2187,f1597,f10879]) ).
fof(f10879,plain,
( spl96_759
<=> ! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(sz00,sK84(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_759])]) ).
fof(f2187,plain,
( spl96_200
<=> ! [X0] :
( aElementOf0(sK84(X0),szNzAzT0)
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_200])]) ).
fof(f2283,plain,
( ! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(sz00,sK84(X0)) )
| ~ spl96_108
| ~ spl96_200 ),
inference(resolution,[],[f2188,f1598]) ).
fof(f2188,plain,
( ! [X0] :
( aElementOf0(sK84(X0),szNzAzT0)
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_200 ),
inference(avatar_component_clause,[],[f2187]) ).
fof(f10877,plain,
( spl96_758
| ~ spl96_106
| ~ spl96_200 ),
inference(avatar_split_clause,[],[f2281,f2187,f1589,f10875]) ).
fof(f10875,plain,
( spl96_758
<=> ! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| isFinite0(slbdtrb0(sK84(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_758])]) ).
fof(f2281,plain,
( ! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| isFinite0(slbdtrb0(sK84(X0))) )
| ~ spl96_106
| ~ spl96_200 ),
inference(resolution,[],[f2188,f1590]) ).
fof(f10871,plain,
( spl96_757
| ~ spl96_106
| ~ spl96_344 ),
inference(avatar_split_clause,[],[f6884,f3537,f1589,f10868]) ).
fof(f10868,plain,
( spl96_757
<=> isFinite0(slbdtrb0(sK56)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_757])]) ).
fof(f6884,plain,
( isFinite0(slbdtrb0(sK56))
| ~ spl96_106
| ~ spl96_344 ),
inference(resolution,[],[f3539,f1590]) ).
fof(f10866,plain,
( spl96_756
| ~ spl96_15
| ~ spl96_108
| ~ spl96_193 ),
inference(avatar_split_clause,[],[f2238,f2158,f1597,f1146,f10864]) ).
fof(f10864,plain,
( spl96_756
<=> ! [X0] :
( ~ sP26(X0,szNzAzT0)
| sdtlseqdt0(sz00,sK67(X0,szNzAzT0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_756])]) ).
fof(f2158,plain,
( spl96_193
<=> ! [X0,X1] :
( aElementOf0(sK67(X0,X1),X1)
| ~ aSet0(X1)
| ~ sP26(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_193])]) ).
fof(f2238,plain,
( ! [X0] :
( ~ aSet0(szNzAzT0)
| ~ sP26(X0,szNzAzT0)
| sdtlseqdt0(sz00,sK67(X0,szNzAzT0)) )
| ~ spl96_108
| ~ spl96_193 ),
inference(resolution,[],[f2159,f1598]) ).
fof(f2159,plain,
( ! [X0,X1] :
( aElementOf0(sK67(X0,X1),X1)
| ~ aSet0(X1)
| ~ sP26(X0,X1) )
| ~ spl96_193 ),
inference(avatar_component_clause,[],[f2158]) ).
fof(f10862,plain,
( spl96_755
| ~ spl96_15
| ~ spl96_106
| ~ spl96_193 ),
inference(avatar_split_clause,[],[f2236,f2158,f1589,f1146,f10860]) ).
fof(f10860,plain,
( spl96_755
<=> ! [X0] :
( ~ sP26(X0,szNzAzT0)
| isFinite0(slbdtrb0(sK67(X0,szNzAzT0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_755])]) ).
fof(f2236,plain,
( ! [X0] :
( ~ aSet0(szNzAzT0)
| ~ sP26(X0,szNzAzT0)
| isFinite0(slbdtrb0(sK67(X0,szNzAzT0))) )
| ~ spl96_106
| ~ spl96_193 ),
inference(resolution,[],[f2159,f1590]) ).
fof(f10858,plain,
( spl96_754
| ~ spl96_97
| ~ spl96_190 ),
inference(avatar_split_clause,[],[f2226,f2146,f1552,f10856]) ).
fof(f10856,plain,
( spl96_754
<=> ! [X0,X1] :
( sP3(X0,X1)
| ~ aSet0(X1)
| ~ sP7(X0)
| sP2(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_754])]) ).
fof(f1552,plain,
( spl96_97
<=> ! [X0,X1] :
( sP2(X1,X0)
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_97])]) ).
fof(f2146,plain,
( spl96_190
<=> ! [X0,X1] :
( sP3(X0,X1)
| sP4(X0,X1)
| ~ aSet0(X1)
| ~ sP7(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_190])]) ).
fof(f2226,plain,
( ! [X0,X1] :
( sP3(X0,X1)
| ~ aSet0(X1)
| ~ sP7(X0)
| sP2(X1,X0) )
| ~ spl96_97
| ~ spl96_190 ),
inference(resolution,[],[f2147,f1553]) ).
fof(f1553,plain,
( ! [X0,X1] :
( ~ sP4(X0,X1)
| sP2(X1,X0) )
| ~ spl96_97 ),
inference(avatar_component_clause,[],[f1552]) ).
fof(f2147,plain,
( ! [X0,X1] :
( sP4(X0,X1)
| sP3(X0,X1)
| ~ aSet0(X1)
| ~ sP7(X0) )
| ~ spl96_190 ),
inference(avatar_component_clause,[],[f2146]) ).
fof(f10850,plain,
( spl96_753
| ~ spl96_15
| spl96_593
| ~ spl96_107
| ~ spl96_174 ),
inference(avatar_split_clause,[],[f2071,f1985,f1593,f7986,f1146,f10847]) ).
fof(f10847,plain,
( spl96_753
<=> sdtlseqdt0(sK89(szNzAzT0),sK89(szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_753])]) ).
fof(f2071,plain,
( slcrc0 = szNzAzT0
| ~ aSet0(szNzAzT0)
| sdtlseqdt0(sK89(szNzAzT0),sK89(szNzAzT0))
| ~ spl96_107
| ~ spl96_174 ),
inference(resolution,[],[f1986,f1594]) ).
fof(f10831,plain,
( ~ spl96_15
| spl96_752
| ~ spl96_130
| ~ spl96_173 ),
inference(avatar_split_clause,[],[f2064,f1981,f1722,f10829,f1146]) ).
fof(f10829,plain,
( spl96_752
<=> ! [X0] :
( ~ isFinite0(X0)
| aElement0(sK87(X0))
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_752])]) ).
fof(f1981,plain,
( spl96_173
<=> ! [X0] :
( aElementOf0(sK87(X0),szNzAzT0)
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_173])]) ).
fof(f2064,plain,
( ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| aElement0(sK87(X0))
| ~ aSet0(szNzAzT0) )
| ~ spl96_130
| ~ spl96_173 ),
inference(resolution,[],[f1982,f1723]) ).
fof(f1982,plain,
( ! [X0] :
( aElementOf0(sK87(X0),szNzAzT0)
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) )
| ~ spl96_173 ),
inference(avatar_component_clause,[],[f1981]) ).
fof(f10827,plain,
( spl96_751
| ~ spl96_107
| ~ spl96_173 ),
inference(avatar_split_clause,[],[f2060,f1981,f1593,f10825]) ).
fof(f10825,plain,
( spl96_751
<=> ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sdtlseqdt0(sK87(X0),sK87(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_751])]) ).
fof(f2060,plain,
( ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sdtlseqdt0(sK87(X0),sK87(X0)) )
| ~ spl96_107
| ~ spl96_173 ),
inference(resolution,[],[f1982,f1594]) ).
fof(f10823,plain,
( spl96_750
| ~ spl96_130
| ~ spl96_160 ),
inference(avatar_split_clause,[],[f2017,f1928,f1722,f10821]) ).
fof(f10821,plain,
( spl96_750
<=> ! [X0] :
( ~ sP20(X0)
| aElement0(sK62(X0))
| ~ aSet0(sdtlcdtrc0(X0,szDzozmdt0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_750])]) ).
fof(f1928,plain,
( spl96_160
<=> ! [X0] :
( aElementOf0(sK62(X0),sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ sP20(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_160])]) ).
fof(f2017,plain,
( ! [X0] :
( ~ sP20(X0)
| aElement0(sK62(X0))
| ~ aSet0(sdtlcdtrc0(X0,szDzozmdt0(X0))) )
| ~ spl96_130
| ~ spl96_160 ),
inference(resolution,[],[f1929,f1723]) ).
fof(f1929,plain,
( ! [X0] :
( aElementOf0(sK62(X0),sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ sP20(X0) )
| ~ spl96_160 ),
inference(avatar_component_clause,[],[f1928]) ).
fof(f10819,plain,
( spl96_749
| ~ spl96_108
| ~ spl96_333 ),
inference(avatar_split_clause,[],[f5639,f3492,f1597,f10816]) ).
fof(f10816,plain,
( spl96_749
<=> sdtlseqdt0(sz00,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_749])]) ).
fof(f3492,plain,
( spl96_333
<=> aElementOf0(xp,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_333])]) ).
fof(f5639,plain,
( sdtlseqdt0(sz00,xp)
| ~ spl96_108
| ~ spl96_333 ),
inference(resolution,[],[f3494,f1598]) ).
fof(f3494,plain,
( aElementOf0(xp,szNzAzT0)
| ~ spl96_333 ),
inference(avatar_component_clause,[],[f3492]) ).
fof(f10814,plain,
( spl96_748
| ~ spl96_149
| ~ spl96_151 ),
inference(avatar_split_clause,[],[f1903,f1855,f1847,f10812]) ).
fof(f10812,plain,
( spl96_748
<=> ! [X0,X1] :
( sP47(X0,sbrdtbr0(X1))
| ~ aSet0(X0)
| ~ isFinite0(X1)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_748])]) ).
fof(f1847,plain,
( spl96_149
<=> ! [X0] :
( aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_149])]) ).
fof(f1903,plain,
( ! [X0,X1] :
( sP47(X0,sbrdtbr0(X1))
| ~ aSet0(X0)
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ spl96_149
| ~ spl96_151 ),
inference(resolution,[],[f1856,f1848]) ).
fof(f1848,plain,
( ! [X0] :
( aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl96_149 ),
inference(avatar_component_clause,[],[f1847]) ).
fof(f10810,plain,
( spl96_747
| ~ spl96_136
| ~ spl96_150 ),
inference(avatar_split_clause,[],[f1895,f1851,f1746,f10808]) ).
fof(f10808,plain,
( spl96_747
<=> ! [X0] :
( szszuzczcdt0(X0) = sbrdtbr0(slbdtrb0(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_747])]) ).
fof(f1746,plain,
( spl96_136
<=> ! [X0] :
( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_136])]) ).
fof(f1895,plain,
( ! [X0] :
( szszuzczcdt0(X0) = sbrdtbr0(slbdtrb0(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_136
| ~ spl96_150 ),
inference(resolution,[],[f1852,f1747]) ).
fof(f1747,plain,
( ! [X0] :
( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_136 ),
inference(avatar_component_clause,[],[f1746]) ).
fof(f10755,plain,
( ~ spl96_1
| spl96_746
| ~ spl96_382
| ~ spl96_36
| ~ spl96_64
| ~ spl96_316 ),
inference(avatar_split_clause,[],[f3348,f3165,f1381,f1250,f4407,f10752,f1076]) ).
fof(f10752,plain,
( spl96_746
<=> aElementOf0(xp,sdtlcdtrc0(xe,szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_746])]) ).
fof(f1381,plain,
( spl96_64
<=> xp = sdtlpdtrp0(xe,sK76) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_64])]) ).
fof(f3165,plain,
( spl96_316
<=> ! [X0,X1] :
( aElementOf0(sdtlpdtrp0(X0,X1),sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ aElementOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_316])]) ).
fof(f3348,plain,
( ~ aElementOf0(sK76,szNzAzT0)
| aElementOf0(xp,sdtlcdtrc0(xe,szNzAzT0))
| ~ aFunction0(xe)
| ~ spl96_36
| ~ spl96_64
| ~ spl96_316 ),
inference(forward_demodulation,[],[f3347,f1252]) ).
fof(f3347,plain,
( aElementOf0(xp,sdtlcdtrc0(xe,szNzAzT0))
| ~ aElementOf0(sK76,szDzozmdt0(xe))
| ~ aFunction0(xe)
| ~ spl96_36
| ~ spl96_64
| ~ spl96_316 ),
inference(forward_demodulation,[],[f3340,f1252]) ).
fof(f3340,plain,
( aElementOf0(xp,sdtlcdtrc0(xe,szDzozmdt0(xe)))
| ~ aElementOf0(sK76,szDzozmdt0(xe))
| ~ aFunction0(xe)
| ~ spl96_64
| ~ spl96_316 ),
inference(superposition,[],[f3166,f1383]) ).
fof(f1383,plain,
( xp = sdtlpdtrp0(xe,sK76)
| ~ spl96_64 ),
inference(avatar_component_clause,[],[f1381]) ).
fof(f3166,plain,
( ! [X0,X1] :
( aElementOf0(sdtlpdtrp0(X0,X1),sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ aElementOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) )
| ~ spl96_316 ),
inference(avatar_component_clause,[],[f3165]) ).
fof(f10747,plain,
( ~ spl96_5
| spl96_745
| ~ spl96_34
| ~ spl96_39
| ~ spl96_58
| ~ spl96_316 ),
inference(avatar_split_clause,[],[f3346,f3165,f1354,f1265,f1241,f10744,f1096]) ).
fof(f10744,plain,
( spl96_745
<=> aElementOf0(xS,sdtlcdtrc0(xN,szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_745])]) ).
fof(f3346,plain,
( ~ aElementOf0(sz00,szNzAzT0)
| aElementOf0(xS,sdtlcdtrc0(xN,szNzAzT0))
| ~ aFunction0(xN)
| ~ spl96_39
| ~ spl96_58
| ~ spl96_316 ),
inference(forward_demodulation,[],[f3345,f1267]) ).
fof(f3345,plain,
( aElementOf0(xS,sdtlcdtrc0(xN,szNzAzT0))
| ~ aElementOf0(sz00,szDzozmdt0(xN))
| ~ aFunction0(xN)
| ~ spl96_39
| ~ spl96_58
| ~ spl96_316 ),
inference(forward_demodulation,[],[f3339,f1267]) ).
fof(f3339,plain,
( aElementOf0(xS,sdtlcdtrc0(xN,szDzozmdt0(xN)))
| ~ aElementOf0(sz00,szDzozmdt0(xN))
| ~ aFunction0(xN)
| ~ spl96_58
| ~ spl96_316 ),
inference(superposition,[],[f3166,f1356]) ).
fof(f10742,plain,
( spl96_744
| ~ spl96_106
| ~ spl96_333 ),
inference(avatar_split_clause,[],[f5637,f3492,f1589,f10739]) ).
fof(f10739,plain,
( spl96_744
<=> isFinite0(slbdtrb0(xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_744])]) ).
fof(f5637,plain,
( isFinite0(slbdtrb0(xp))
| ~ spl96_106
| ~ spl96_333 ),
inference(resolution,[],[f3494,f1590]) ).
fof(f10711,plain,
( ~ spl96_210
| spl96_743
| ~ spl96_58
| ~ spl96_298 ),
inference(avatar_split_clause,[],[f3214,f3092,f1354,f10709,f2302]) ).
fof(f2302,plain,
( spl96_210
<=> sP5(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_210])]) ).
fof(f10709,plain,
( spl96_743
<=> ! [X0] :
( ~ aElementOf0(X0,sdtmndt0(xS,szmzizndt0(xS)))
| aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_743])]) ).
fof(f3092,plain,
( spl96_298
<=> ! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP5(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_298])]) ).
fof(f3214,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtmndt0(xS,szmzizndt0(xS)))
| aElement0(X0)
| ~ sP5(sz00) )
| ~ spl96_58
| ~ spl96_298 ),
inference(superposition,[],[f3093,f1356]) ).
fof(f3093,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| aElement0(X1)
| ~ sP5(X0) )
| ~ spl96_298 ),
inference(avatar_component_clause,[],[f3092]) ).
fof(f10706,plain,
( spl96_742
| ~ spl96_382
| ~ spl96_36
| ~ spl96_64
| ~ spl96_290 ),
inference(avatar_split_clause,[],[f3043,f2973,f1381,f1250,f4407,f10704]) ).
fof(f10704,plain,
( spl96_742
<=> ! [X0] :
( ~ sP42(xp,xe,X0)
| aElementOf0(sK76,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_742])]) ).
fof(f2973,plain,
( spl96_290
<=> ! [X2,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElementOf0(X4,szDzozmdt0(X1))
| ~ sP42(sdtlpdtrp0(X1,X4),X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_290])]) ).
fof(f3043,plain,
( ! [X0] :
( ~ aElementOf0(sK76,szNzAzT0)
| ~ sP42(xp,xe,X0)
| aElementOf0(sK76,X0) )
| ~ spl96_36
| ~ spl96_64
| ~ spl96_290 ),
inference(forward_demodulation,[],[f3041,f1252]) ).
fof(f3041,plain,
( ! [X0] :
( ~ sP42(xp,xe,X0)
| ~ aElementOf0(sK76,szDzozmdt0(xe))
| aElementOf0(sK76,X0) )
| ~ spl96_64
| ~ spl96_290 ),
inference(superposition,[],[f2974,f1383]) ).
fof(f2974,plain,
( ! [X2,X1,X4] :
( ~ sP42(sdtlpdtrp0(X1,X4),X1,X2)
| ~ aElementOf0(X4,szDzozmdt0(X1))
| aElementOf0(X4,X2) )
| ~ spl96_290 ),
inference(avatar_component_clause,[],[f2973]) ).
fof(f10701,plain,
( spl96_741
| ~ spl96_34
| ~ spl96_39
| ~ spl96_58
| ~ spl96_290 ),
inference(avatar_split_clause,[],[f3042,f2973,f1354,f1265,f1241,f10699]) ).
fof(f10699,plain,
( spl96_741
<=> ! [X0] :
( ~ sP42(xS,xN,X0)
| aElementOf0(sz00,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_741])]) ).
fof(f3042,plain,
( ! [X0] :
( ~ aElementOf0(sz00,szNzAzT0)
| ~ sP42(xS,xN,X0)
| aElementOf0(sz00,X0) )
| ~ spl96_39
| ~ spl96_58
| ~ spl96_290 ),
inference(forward_demodulation,[],[f3040,f1267]) ).
fof(f3040,plain,
( ! [X0] :
( ~ sP42(xS,xN,X0)
| ~ aElementOf0(sz00,szDzozmdt0(xN))
| aElementOf0(sz00,X0) )
| ~ spl96_58
| ~ spl96_290 ),
inference(superposition,[],[f2974,f1356]) ).
fof(f10697,plain,
( ~ spl96_13
| ~ spl96_6
| ~ spl96_739
| spl96_740
| ~ spl96_28
| ~ spl96_287 ),
inference(avatar_split_clause,[],[f3030,f2961,f1211,f10694,f10690,f1101,f1136]) ).
fof(f10690,plain,
( spl96_739
<=> aSubsetOf0(xQ,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_739])]) ).
fof(f10694,plain,
( spl96_740
<=> xQ = xP ),
introduced(avatar_definition,[new_symbols(naming,[spl96_740])]) ).
fof(f1211,plain,
( spl96_28
<=> aSubsetOf0(xP,xQ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_28])]) ).
fof(f2961,plain,
( spl96_287
<=> ! [X0,X1] :
( X0 = X1
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_287])]) ).
fof(f3030,plain,
( xQ = xP
| ~ aSubsetOf0(xQ,xP)
| ~ aSet0(xP)
| ~ aSet0(xQ)
| ~ spl96_28
| ~ spl96_287 ),
inference(resolution,[],[f2962,f1213]) ).
fof(f1213,plain,
( aSubsetOf0(xP,xQ)
| ~ spl96_28 ),
inference(avatar_component_clause,[],[f1211]) ).
fof(f2962,plain,
( ! [X0,X1] :
( ~ aSubsetOf0(X1,X0)
| X0 = X1
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) )
| ~ spl96_287 ),
inference(avatar_component_clause,[],[f2961]) ).
fof(f10688,plain,
( ~ spl96_9
| ~ spl96_6
| ~ spl96_737
| spl96_738
| ~ spl96_27
| ~ spl96_287 ),
inference(avatar_split_clause,[],[f3029,f2961,f1206,f10685,f10681,f1101,f1116]) ).
fof(f10681,plain,
( spl96_737
<=> aSubsetOf0(xO,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_737])]) ).
fof(f10685,plain,
( spl96_738
<=> xO = xP ),
introduced(avatar_definition,[new_symbols(naming,[spl96_738])]) ).
fof(f1206,plain,
( spl96_27
<=> aSubsetOf0(xP,xO) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_27])]) ).
fof(f3029,plain,
( xO = xP
| ~ aSubsetOf0(xO,xP)
| ~ aSet0(xP)
| ~ aSet0(xO)
| ~ spl96_27
| ~ spl96_287 ),
inference(resolution,[],[f2962,f1208]) ).
fof(f1208,plain,
( aSubsetOf0(xP,xO)
| ~ spl96_27 ),
inference(avatar_component_clause,[],[f1206]) ).
fof(f10679,plain,
( ~ spl96_15
| ~ spl96_13
| ~ spl96_735
| spl96_736
| ~ spl96_33
| ~ spl96_287 ),
inference(avatar_split_clause,[],[f3028,f2961,f1236,f10676,f10672,f1136,f1146]) ).
fof(f10672,plain,
( spl96_735
<=> aSubsetOf0(szNzAzT0,xQ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_735])]) ).
fof(f10676,plain,
( spl96_736
<=> szNzAzT0 = xQ ),
introduced(avatar_definition,[new_symbols(naming,[spl96_736])]) ).
fof(f1236,plain,
( spl96_33
<=> aSubsetOf0(xQ,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_33])]) ).
fof(f3028,plain,
( szNzAzT0 = xQ
| ~ aSubsetOf0(szNzAzT0,xQ)
| ~ aSet0(xQ)
| ~ aSet0(szNzAzT0)
| ~ spl96_33
| ~ spl96_287 ),
inference(resolution,[],[f2962,f1238]) ).
fof(f1238,plain,
( aSubsetOf0(xQ,szNzAzT0)
| ~ spl96_33 ),
inference(avatar_component_clause,[],[f1236]) ).
fof(f10670,plain,
( ~ spl96_11
| ~ spl96_13
| ~ spl96_733
| spl96_734
| ~ spl96_32
| ~ spl96_287 ),
inference(avatar_split_clause,[],[f3027,f2961,f1231,f10667,f10663,f1136,f1126]) ).
fof(f1126,plain,
( spl96_11
<=> aSet0(xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_11])]) ).
fof(f10663,plain,
( spl96_733
<=> aSubsetOf0(xS,xQ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_733])]) ).
fof(f10667,plain,
( spl96_734
<=> xS = xQ ),
introduced(avatar_definition,[new_symbols(naming,[spl96_734])]) ).
fof(f1231,plain,
( spl96_32
<=> aSubsetOf0(xQ,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_32])]) ).
fof(f3027,plain,
( xS = xQ
| ~ aSubsetOf0(xS,xQ)
| ~ aSet0(xQ)
| ~ aSet0(xS)
| ~ spl96_32
| ~ spl96_287 ),
inference(resolution,[],[f2962,f1233]) ).
fof(f1233,plain,
( aSubsetOf0(xQ,xS)
| ~ spl96_32 ),
inference(avatar_component_clause,[],[f1231]) ).
fof(f10661,plain,
( ~ spl96_9
| ~ spl96_13
| ~ spl96_731
| spl96_732
| ~ spl96_25
| ~ spl96_287 ),
inference(avatar_split_clause,[],[f3026,f2961,f1196,f10658,f10654,f1136,f1116]) ).
fof(f10654,plain,
( spl96_731
<=> aSubsetOf0(xO,xQ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_731])]) ).
fof(f10658,plain,
( spl96_732
<=> xO = xQ ),
introduced(avatar_definition,[new_symbols(naming,[spl96_732])]) ).
fof(f1196,plain,
( spl96_25
<=> aSubsetOf0(xQ,xO) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_25])]) ).
fof(f3026,plain,
( xO = xQ
| ~ aSubsetOf0(xO,xQ)
| ~ aSet0(xQ)
| ~ aSet0(xO)
| ~ spl96_25
| ~ spl96_287 ),
inference(resolution,[],[f2962,f1198]) ).
fof(f1198,plain,
( aSubsetOf0(xQ,xO)
| ~ spl96_25 ),
inference(avatar_component_clause,[],[f1196]) ).
fof(f10652,plain,
( ~ spl96_11
| ~ spl96_9
| ~ spl96_729
| spl96_730
| ~ spl96_29
| ~ spl96_287 ),
inference(avatar_split_clause,[],[f3025,f2961,f1216,f10649,f10645,f1116,f1126]) ).
fof(f10645,plain,
( spl96_729
<=> aSubsetOf0(xS,xO) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_729])]) ).
fof(f10649,plain,
( spl96_730
<=> xS = xO ),
introduced(avatar_definition,[new_symbols(naming,[spl96_730])]) ).
fof(f1216,plain,
( spl96_29
<=> aSubsetOf0(xO,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_29])]) ).
fof(f3025,plain,
( xS = xO
| ~ aSubsetOf0(xS,xO)
| ~ aSet0(xO)
| ~ aSet0(xS)
| ~ spl96_29
| ~ spl96_287 ),
inference(resolution,[],[f2962,f1218]) ).
fof(f1218,plain,
( aSubsetOf0(xO,xS)
| ~ spl96_29 ),
inference(avatar_component_clause,[],[f1216]) ).
fof(f10643,plain,
( ~ spl96_15
| ~ spl96_11
| ~ spl96_727
| spl96_728
| ~ spl96_24
| ~ spl96_287 ),
inference(avatar_split_clause,[],[f3024,f2961,f1191,f10640,f10636,f1126,f1146]) ).
fof(f10636,plain,
( spl96_727
<=> aSubsetOf0(szNzAzT0,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_727])]) ).
fof(f10640,plain,
( spl96_728
<=> szNzAzT0 = xS ),
introduced(avatar_definition,[new_symbols(naming,[spl96_728])]) ).
fof(f1191,plain,
( spl96_24
<=> aSubsetOf0(xS,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_24])]) ).
fof(f3024,plain,
( szNzAzT0 = xS
| ~ aSubsetOf0(szNzAzT0,xS)
| ~ aSet0(xS)
| ~ aSet0(szNzAzT0)
| ~ spl96_24
| ~ spl96_287 ),
inference(resolution,[],[f2962,f1193]) ).
fof(f1193,plain,
( aSubsetOf0(xS,szNzAzT0)
| ~ spl96_24 ),
inference(avatar_component_clause,[],[f1191]) ).
fof(f10634,plain,
( spl96_726
| ~ spl96_183
| ~ spl96_274 ),
inference(avatar_split_clause,[],[f2910,f2894,f2102,f10632]) ).
fof(f10632,plain,
( spl96_726
<=> ! [X0] :
( sdtlseqdt0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xe,X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_726])]) ).
fof(f2102,plain,
( spl96_183
<=> ! [X0] :
( aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_183])]) ).
fof(f2894,plain,
( spl96_274
<=> ! [X0,X1] :
( sdtlseqdt0(sdtlpdtrp0(xe,X0),X1)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_274])]) ).
fof(f2910,plain,
( ! [X0] :
( sdtlseqdt0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xe,X0))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_183
| ~ spl96_274 ),
inference(duplicate_literal_removal,[],[f2905]) ).
fof(f2905,plain,
( ! [X0] :
( sdtlseqdt0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xe,X0))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_183
| ~ spl96_274 ),
inference(resolution,[],[f2895,f2103]) ).
fof(f2103,plain,
( ! [X0] :
( aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_183 ),
inference(avatar_component_clause,[],[f2102]) ).
fof(f2895,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(sdtlpdtrp0(xe,X0),X1)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_274 ),
inference(avatar_component_clause,[],[f2894]) ).
fof(f10630,plain,
( spl96_725
| ~ spl96_58
| ~ spl96_251 ),
inference(avatar_split_clause,[],[f2652,f2618,f1354,f10628]) ).
fof(f10628,plain,
( spl96_725
<=> ! [X0] :
( aElementOf0(sdtpldt0(X0,szmzizndt0(xS)),szDzozmdt0(xc))
| ~ sP16(sz00,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_725])]) ).
fof(f2618,plain,
( spl96_251
<=> ! [X0,X1] :
( aElementOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),szDzozmdt0(xc))
| ~ sP16(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_251])]) ).
fof(f2652,plain,
( ! [X0] :
( aElementOf0(sdtpldt0(X0,szmzizndt0(xS)),szDzozmdt0(xc))
| ~ sP16(sz00,X0) )
| ~ spl96_58
| ~ spl96_251 ),
inference(superposition,[],[f2619,f1356]) ).
fof(f2619,plain,
( ! [X0,X1] :
( aElementOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),szDzozmdt0(xc))
| ~ sP16(X0,X1) )
| ~ spl96_251 ),
inference(avatar_component_clause,[],[f2618]) ).
fof(f10626,plain,
( spl96_724
| ~ spl96_185
| ~ spl96_247 ),
inference(avatar_split_clause,[],[f2626,f2602,f2110,f10624]) ).
fof(f10624,plain,
( spl96_724
<=> ! [X0] :
( szDzizrdt0(xd) = sdtlpdtrp0(xd,sK54(X0))
| ~ aElementOf0(X0,xO) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_724])]) ).
fof(f2602,plain,
( spl96_247
<=> ! [X3] :
( szDzizrdt0(xd) = sdtlpdtrp0(xd,X3)
| ~ aElementOf0(X3,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_247])]) ).
fof(f2626,plain,
( ! [X0] :
( szDzizrdt0(xd) = sdtlpdtrp0(xd,sK54(X0))
| ~ aElementOf0(X0,xO) )
| ~ spl96_185
| ~ spl96_247 ),
inference(resolution,[],[f2603,f2111]) ).
fof(f2603,plain,
( ! [X3] :
( ~ aElementOf0(X3,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| szDzizrdt0(xd) = sdtlpdtrp0(xd,X3) )
| ~ spl96_247 ),
inference(avatar_component_clause,[],[f2602]) ).
fof(f10622,plain,
( spl96_723
| ~ spl96_40
| ~ spl96_240 ),
inference(avatar_split_clause,[],[f2576,f2522,f1270,f10620]) ).
fof(f10620,plain,
( spl96_723
<=> ! [X0,X1] :
( ~ sP46(xK,X0,X1)
| ~ aSubsetOf0(xQ,X0)
| aElementOf0(xQ,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_723])]) ).
fof(f2576,plain,
( ! [X0,X1] :
( ~ sP46(xK,X0,X1)
| ~ aSubsetOf0(xQ,X0)
| aElementOf0(xQ,X1) )
| ~ spl96_40
| ~ spl96_240 ),
inference(superposition,[],[f2523,f1272]) ).
fof(f10610,plain,
( spl96_722
| ~ spl96_6
| ~ spl96_83
| ~ spl96_193 ),
inference(avatar_split_clause,[],[f2259,f2158,f1481,f1101,f10608]) ).
fof(f10608,plain,
( spl96_722
<=> ! [X0] :
( ~ sP26(X0,xP)
| aElementOf0(sK67(X0,xP),xQ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_722])]) ).
fof(f1481,plain,
( spl96_83
<=> ! [X0] :
( aElementOf0(X0,xQ)
| ~ aElementOf0(X0,xP) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_83])]) ).
fof(f2259,plain,
( ! [X0] :
( ~ aSet0(xP)
| ~ sP26(X0,xP)
| aElementOf0(sK67(X0,xP),xQ) )
| ~ spl96_83
| ~ spl96_193 ),
inference(resolution,[],[f2159,f1482]) ).
fof(f1482,plain,
( ! [X0] :
( ~ aElementOf0(X0,xP)
| aElementOf0(X0,xQ) )
| ~ spl96_83 ),
inference(avatar_component_clause,[],[f1481]) ).
fof(f10600,plain,
( spl96_721
| ~ spl96_6
| ~ spl96_89
| ~ spl96_193 ),
inference(avatar_split_clause,[],[f2258,f2158,f1508,f1101,f10598]) ).
fof(f10598,plain,
( spl96_721
<=> ! [X0] :
( ~ sP26(X0,xP)
| aElementOf0(sK67(X0,xP),xO) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_721])]) ).
fof(f1508,plain,
( spl96_89
<=> ! [X0] :
( aElementOf0(X0,xO)
| ~ aElementOf0(X0,xP) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_89])]) ).
fof(f2258,plain,
( ! [X0] :
( ~ aSet0(xP)
| ~ sP26(X0,xP)
| aElementOf0(sK67(X0,xP),xO) )
| ~ spl96_89
| ~ spl96_193 ),
inference(resolution,[],[f2159,f1509]) ).
fof(f1509,plain,
( ! [X0] :
( ~ aElementOf0(X0,xP)
| aElementOf0(X0,xO) )
| ~ spl96_89 ),
inference(avatar_component_clause,[],[f1508]) ).
fof(f10590,plain,
( spl96_720
| ~ spl96_13
| ~ spl96_87
| ~ spl96_193 ),
inference(avatar_split_clause,[],[f2257,f2158,f1500,f1136,f10588]) ).
fof(f10588,plain,
( spl96_720
<=> ! [X0] :
( ~ sP26(X0,xQ)
| aElementOf0(sK67(X0,xQ),xO) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_720])]) ).
fof(f1500,plain,
( spl96_87
<=> ! [X0] :
( aElementOf0(X0,xO)
| ~ aElementOf0(X0,xQ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_87])]) ).
fof(f2257,plain,
( ! [X0] :
( ~ aSet0(xQ)
| ~ sP26(X0,xQ)
| aElementOf0(sK67(X0,xQ),xO) )
| ~ spl96_87
| ~ spl96_193 ),
inference(resolution,[],[f2159,f1501]) ).
fof(f1501,plain,
( ! [X0] :
( ~ aElementOf0(X0,xQ)
| aElementOf0(X0,xO) )
| ~ spl96_87 ),
inference(avatar_component_clause,[],[f1500]) ).
fof(f10584,plain,
( spl96_719
| ~ spl96_13
| ~ spl96_88
| ~ spl96_193 ),
inference(avatar_split_clause,[],[f2256,f2158,f1504,f1136,f10582]) ).
fof(f10582,plain,
( spl96_719
<=> ! [X0] :
( ~ sP26(X0,xQ)
| sdtlseqdt0(xp,sK67(X0,xQ)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_719])]) ).
fof(f1504,plain,
( spl96_88
<=> ! [X0] :
( sdtlseqdt0(xp,X0)
| ~ aElementOf0(X0,xQ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_88])]) ).
fof(f2256,plain,
( ! [X0] :
( ~ aSet0(xQ)
| ~ sP26(X0,xQ)
| sdtlseqdt0(xp,sK67(X0,xQ)) )
| ~ spl96_88
| ~ spl96_193 ),
inference(resolution,[],[f2159,f1505]) ).
fof(f1505,plain,
( ! [X0] :
( ~ aElementOf0(X0,xQ)
| sdtlseqdt0(xp,X0) )
| ~ spl96_88 ),
inference(avatar_component_clause,[],[f1504]) ).
fof(f10576,plain,
( spl96_718
| ~ spl96_13
| ~ spl96_91
| ~ spl96_193 ),
inference(avatar_split_clause,[],[f2255,f2158,f1516,f1136,f10574]) ).
fof(f10574,plain,
( spl96_718
<=> ! [X0] :
( ~ sP26(X0,xQ)
| aElementOf0(sK67(X0,xQ),xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_718])]) ).
fof(f1516,plain,
( spl96_91
<=> ! [X0] :
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,xQ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_91])]) ).
fof(f2255,plain,
( ! [X0] :
( ~ aSet0(xQ)
| ~ sP26(X0,xQ)
| aElementOf0(sK67(X0,xQ),xS) )
| ~ spl96_91
| ~ spl96_193 ),
inference(resolution,[],[f2159,f1517]) ).
fof(f1517,plain,
( ! [X0] :
( ~ aElementOf0(X0,xQ)
| aElementOf0(X0,xS) )
| ~ spl96_91 ),
inference(avatar_component_clause,[],[f1516]) ).
fof(f10542,plain,
( spl96_717
| ~ spl96_13
| ~ spl96_93
| ~ spl96_193 ),
inference(avatar_split_clause,[],[f2254,f2158,f1525,f1136,f10540]) ).
fof(f10540,plain,
( spl96_717
<=> ! [X0] :
( ~ sP26(X0,xQ)
| aElementOf0(sK67(X0,xQ),szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_717])]) ).
fof(f1525,plain,
( spl96_93
<=> ! [X0] :
( aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,xQ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_93])]) ).
fof(f2254,plain,
( ! [X0] :
( ~ aSet0(xQ)
| ~ sP26(X0,xQ)
| aElementOf0(sK67(X0,xQ),szNzAzT0) )
| ~ spl96_93
| ~ spl96_193 ),
inference(resolution,[],[f2159,f1526]) ).
fof(f1526,plain,
( ! [X0] :
( ~ aElementOf0(X0,xQ)
| aElementOf0(X0,szNzAzT0) )
| ~ spl96_93 ),
inference(avatar_component_clause,[],[f1525]) ).
fof(f10534,plain,
( spl96_716
| ~ spl96_9
| ~ spl96_90
| ~ spl96_193 ),
inference(avatar_split_clause,[],[f2252,f2158,f1512,f1116,f10532]) ).
fof(f10532,plain,
( spl96_716
<=> ! [X0] :
( ~ sP26(X0,xO)
| aElementOf0(sK67(X0,xO),xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_716])]) ).
fof(f1512,plain,
( spl96_90
<=> ! [X0] :
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,xO) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_90])]) ).
fof(f2252,plain,
( ! [X0] :
( ~ aSet0(xO)
| ~ sP26(X0,xO)
| aElementOf0(sK67(X0,xO),xS) )
| ~ spl96_90
| ~ spl96_193 ),
inference(resolution,[],[f2159,f1513]) ).
fof(f1513,plain,
( ! [X0] :
( ~ aElementOf0(X0,xO)
| aElementOf0(X0,xS) )
| ~ spl96_90 ),
inference(avatar_component_clause,[],[f1512]) ).
fof(f10500,plain,
( spl96_715
| ~ spl96_11
| ~ spl96_86
| ~ spl96_193 ),
inference(avatar_split_clause,[],[f2250,f2158,f1496,f1126,f10498]) ).
fof(f10498,plain,
( spl96_715
<=> ! [X0] :
( ~ sP26(X0,xS)
| aElementOf0(sK67(X0,xS),szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_715])]) ).
fof(f1496,plain,
( spl96_86
<=> ! [X0] :
( aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_86])]) ).
fof(f2250,plain,
( ! [X0] :
( ~ aSet0(xS)
| ~ sP26(X0,xS)
| aElementOf0(sK67(X0,xS),szNzAzT0) )
| ~ spl96_86
| ~ spl96_193 ),
inference(resolution,[],[f2159,f1497]) ).
fof(f1497,plain,
( ! [X0] :
( ~ aElementOf0(X0,xS)
| aElementOf0(X0,szNzAzT0) )
| ~ spl96_86 ),
inference(avatar_component_clause,[],[f1496]) ).
fof(f10356,plain,
( spl96_714
| ~ spl96_35
| ~ spl96_349 ),
inference(avatar_split_clause,[],[f3929,f3558,f1246,f10354]) ).
fof(f10354,plain,
( spl96_714
<=> ! [X0,X1] :
( aElement0(sK92(X0,X1,slcrc0))
| sP45(X0,X1,slcrc0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_714])]) ).
fof(f3558,plain,
( spl96_349
<=> ! [X2,X0,X1] :
( sP45(X0,X1,X2)
| aElement0(sK92(X0,X1,X2))
| aElementOf0(sK92(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_349])]) ).
fof(f3929,plain,
( ! [X0,X1] :
( aElement0(sK92(X0,X1,slcrc0))
| sP45(X0,X1,slcrc0) )
| ~ spl96_35
| ~ spl96_349 ),
inference(resolution,[],[f3559,f1247]) ).
fof(f3559,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK92(X0,X1,X2),X2)
| aElement0(sK92(X0,X1,X2))
| sP45(X0,X1,X2) )
| ~ spl96_349 ),
inference(avatar_component_clause,[],[f3558]) ).
fof(f10352,plain,
( spl96_713
| ~ spl96_35
| ~ spl96_346 ),
inference(avatar_split_clause,[],[f3846,f3546,f1246,f10350]) ).
fof(f10350,plain,
( spl96_713
<=> ! [X0,X1] :
( aElement0(sK91(X0,X1,slcrc0))
| sP44(X0,X1,slcrc0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_713])]) ).
fof(f3546,plain,
( spl96_346
<=> ! [X2,X0,X1] :
( sP44(X0,X1,X2)
| aElement0(sK91(X0,X1,X2))
| aElementOf0(sK91(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_346])]) ).
fof(f3846,plain,
( ! [X0,X1] :
( aElement0(sK91(X0,X1,slcrc0))
| sP44(X0,X1,slcrc0) )
| ~ spl96_35
| ~ spl96_346 ),
inference(resolution,[],[f3547,f1247]) ).
fof(f3547,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK91(X0,X1,X2),X2)
| aElement0(sK91(X0,X1,X2))
| sP44(X0,X1,X2) )
| ~ spl96_346 ),
inference(avatar_component_clause,[],[f3546]) ).
fof(f10344,plain,
( ~ spl96_15
| spl96_712
| ~ spl96_34
| ~ spl96_263 ),
inference(avatar_split_clause,[],[f2759,f2698,f1241,f10341,f1146]) ).
fof(f10341,plain,
( spl96_712
<=> szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sz00),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_712])]) ).
fof(f2759,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sz00),sz00)
| ~ aSet0(szNzAzT0)
| ~ spl96_34
| ~ spl96_263 ),
inference(resolution,[],[f2699,f1243]) ).
fof(f10339,plain,
( spl96_711
| ~ spl96_139
| ~ spl96_208 ),
inference(avatar_split_clause,[],[f2347,f2221,f1758,f10337]) ).
fof(f10337,plain,
( spl96_711
<=> ! [X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtmndt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_711])]) ).
fof(f1758,plain,
( spl96_139
<=> ! [X2,X1,X4] :
( ~ aElementOf0(X4,X2)
| ~ sP45(X4,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_139])]) ).
fof(f2221,plain,
( spl96_208
<=> ! [X0,X1] :
( sP45(X1,X0,sdtmndt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_208])]) ).
fof(f2347,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtmndt0(X1,X0)) )
| ~ spl96_139
| ~ spl96_208 ),
inference(resolution,[],[f2222,f1759]) ).
fof(f1759,plain,
( ! [X2,X1,X4] :
( ~ sP45(X4,X1,X2)
| ~ aElementOf0(X4,X2) )
| ~ spl96_139 ),
inference(avatar_component_clause,[],[f1758]) ).
fof(f2222,plain,
( ! [X0,X1] :
( sP45(X1,X0,sdtmndt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) )
| ~ spl96_208 ),
inference(avatar_component_clause,[],[f2221]) ).
fof(f10335,plain,
( spl96_710
| ~ spl96_180
| ~ spl96_207 ),
inference(avatar_split_clause,[],[f2344,f2217,f2009,f10333]) ).
fof(f10333,plain,
( spl96_710
<=> ! [X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| aElementOf0(X0,sdtpldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_710])]) ).
fof(f2009,plain,
( spl96_180
<=> ! [X2,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElement0(X4)
| ~ sP44(X4,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_180])]) ).
fof(f2217,plain,
( spl96_207
<=> ! [X0,X1] :
( sP44(X1,X0,sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_207])]) ).
fof(f2344,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| aElementOf0(X0,sdtpldt0(X1,X0)) )
| ~ spl96_180
| ~ spl96_207 ),
inference(duplicate_literal_removal,[],[f2342]) ).
fof(f2342,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| ~ aElement0(X0)
| aElementOf0(X0,sdtpldt0(X1,X0)) )
| ~ spl96_180
| ~ spl96_207 ),
inference(resolution,[],[f2218,f2010]) ).
fof(f2010,plain,
( ! [X2,X1,X4] :
( ~ sP44(X4,X1,X2)
| ~ aElement0(X4)
| aElementOf0(X4,X2) )
| ~ spl96_180 ),
inference(avatar_component_clause,[],[f2009]) ).
fof(f2218,plain,
( ! [X0,X1] :
( sP44(X1,X0,sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) )
| ~ spl96_207 ),
inference(avatar_component_clause,[],[f2217]) ).
fof(f10331,plain,
( spl96_709
| ~ spl96_660
| spl96_593
| ~ spl96_78
| ~ spl96_206 ),
inference(avatar_split_clause,[],[f2310,f2213,f1447,f7986,f9351,f10328]) ).
fof(f10328,plain,
( spl96_709
<=> sP41(szmzizndt0(szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_709])]) ).
fof(f2310,plain,
( slcrc0 = szNzAzT0
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| sP41(szmzizndt0(szNzAzT0))
| ~ spl96_78
| ~ spl96_206 ),
inference(resolution,[],[f2214,f1448]) ).
fof(f10326,plain,
( spl96_708
| ~ spl96_168
| ~ spl96_203 ),
inference(avatar_split_clause,[],[f2299,f2199,f1961,f10324]) ).
fof(f10324,plain,
( spl96_708
<=> ! [X0,X1] :
( ~ aElement0(X0)
| ~ aFunction0(X1)
| sP39(sdtlbdtrb0(X1,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_708])]) ).
fof(f1961,plain,
( spl96_168
<=> ! [X0,X1] :
( sP39(X1,X0)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_168])]) ).
fof(f2199,plain,
( spl96_203
<=> ! [X0,X1] :
( aSubsetOf0(sdtlbdtrb0(X0,X1),szDzozmdt0(X0))
| ~ aElement0(X1)
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_203])]) ).
fof(f2299,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aFunction0(X1)
| sP39(sdtlbdtrb0(X1,X0),X1) )
| ~ spl96_168
| ~ spl96_203 ),
inference(duplicate_literal_removal,[],[f2290]) ).
fof(f2290,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aFunction0(X1)
| sP39(sdtlbdtrb0(X1,X0),X1)
| ~ aFunction0(X1) )
| ~ spl96_168
| ~ spl96_203 ),
inference(resolution,[],[f2200,f1962]) ).
fof(f1962,plain,
( ! [X0,X1] :
( ~ aSubsetOf0(X1,szDzozmdt0(X0))
| sP39(X1,X0)
| ~ aFunction0(X0) )
| ~ spl96_168 ),
inference(avatar_component_clause,[],[f1961]) ).
fof(f2200,plain,
( ! [X0,X1] :
( aSubsetOf0(sdtlbdtrb0(X0,X1),szDzozmdt0(X0))
| ~ aElement0(X1)
| ~ aFunction0(X0) )
| ~ spl96_203 ),
inference(avatar_component_clause,[],[f2199]) ).
fof(f10322,plain,
( spl96_707
| ~ spl96_166
| ~ spl96_203 ),
inference(avatar_split_clause,[],[f2298,f2199,f1952,f10320]) ).
fof(f10320,plain,
( spl96_707
<=> ! [X0,X1] :
( ~ aElement0(X0)
| ~ aFunction0(X1)
| sP37(sdtlbdtrb0(X1,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_707])]) ).
fof(f1952,plain,
( spl96_166
<=> ! [X0,X1] :
( sP37(X1,X0)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_166])]) ).
fof(f2298,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aFunction0(X1)
| sP37(sdtlbdtrb0(X1,X0),X1) )
| ~ spl96_166
| ~ spl96_203 ),
inference(duplicate_literal_removal,[],[f2291]) ).
fof(f2291,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aFunction0(X1)
| sP37(sdtlbdtrb0(X1,X0),X1)
| ~ aFunction0(X1) )
| ~ spl96_166
| ~ spl96_203 ),
inference(resolution,[],[f2200,f1953]) ).
fof(f1953,plain,
( ! [X0,X1] :
( ~ aSubsetOf0(X1,szDzozmdt0(X0))
| sP37(X1,X0)
| ~ aFunction0(X0) )
| ~ spl96_166 ),
inference(avatar_component_clause,[],[f1952]) ).
fof(f10318,plain,
( spl96_706
| ~ spl96_78
| ~ spl96_200 ),
inference(avatar_split_clause,[],[f2280,f2187,f1447,f10316]) ).
fof(f10316,plain,
( spl96_706
<=> ! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| sP41(sK84(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_706])]) ).
fof(f2280,plain,
( ! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| sP41(sK84(X0)) )
| ~ spl96_78
| ~ spl96_200 ),
inference(resolution,[],[f2188,f1448]) ).
fof(f10314,plain,
( spl96_705
| ~ spl96_130
| ~ spl96_193 ),
inference(avatar_split_clause,[],[f2261,f2158,f1722,f10312]) ).
fof(f10312,plain,
( spl96_705
<=> ! [X0,X1] :
( ~ aSet0(X0)
| ~ sP26(X1,X0)
| aElement0(sK67(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_705])]) ).
fof(f2261,plain,
( ! [X0,X1] :
( ~ aSet0(X0)
| ~ sP26(X1,X0)
| aElement0(sK67(X1,X0)) )
| ~ spl96_130
| ~ spl96_193 ),
inference(duplicate_literal_removal,[],[f2231]) ).
fof(f2231,plain,
( ! [X0,X1] :
( ~ aSet0(X0)
| ~ sP26(X1,X0)
| aElement0(sK67(X1,X0))
| ~ aSet0(X0) )
| ~ spl96_130
| ~ spl96_193 ),
inference(resolution,[],[f2159,f1723]) ).
fof(f10310,plain,
( spl96_704
| ~ spl96_15
| ~ spl96_78
| ~ spl96_193 ),
inference(avatar_split_clause,[],[f2235,f2158,f1447,f1146,f10308]) ).
fof(f10308,plain,
( spl96_704
<=> ! [X0] :
( ~ sP26(X0,szNzAzT0)
| sP41(sK67(X0,szNzAzT0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_704])]) ).
fof(f2235,plain,
( ! [X0] :
( ~ aSet0(szNzAzT0)
| ~ sP26(X0,szNzAzT0)
| sP41(sK67(X0,szNzAzT0)) )
| ~ spl96_78
| ~ spl96_193 ),
inference(resolution,[],[f2159,f1448]) ).
fof(f10306,plain,
( spl96_703
| ~ spl96_68
| ~ spl96_190 ),
inference(avatar_split_clause,[],[f2227,f2146,f1406,f10304]) ).
fof(f10304,plain,
( spl96_703
<=> ! [X0,X1] :
( sP3(X0,X1)
| ~ aSet0(X1)
| ~ sP7(X0)
| sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_703])]) ).
fof(f1406,plain,
( spl96_68
<=> ! [X0,X1] :
( sP1(X0)
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_68])]) ).
fof(f2227,plain,
( ! [X0,X1] :
( sP3(X0,X1)
| ~ aSet0(X1)
| ~ sP7(X0)
| sP1(X0) )
| ~ spl96_68
| ~ spl96_190 ),
inference(resolution,[],[f2147,f1407]) ).
fof(f1407,plain,
( ! [X0,X1] :
( ~ sP4(X0,X1)
| sP1(X0) )
| ~ spl96_68 ),
inference(avatar_component_clause,[],[f1406]) ).
fof(f10302,plain,
( spl96_702
| ~ spl96_147
| ~ spl96_177 ),
inference(avatar_split_clause,[],[f2094,f1997,f1839,f10300]) ).
fof(f10300,plain,
( spl96_702
<=> ! [X0,X1] :
( ~ sP37(X0,X1)
| szDzozmdt0(sdtexdt0(X1,X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_702])]) ).
fof(f1839,plain,
( spl96_147
<=> ! [X2,X0,X1] :
( szDzozmdt0(X0) = X2
| ~ sP36(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_147])]) ).
fof(f1997,plain,
( spl96_177
<=> ! [X0,X1] :
( sP36(sdtexdt0(X1,X0),X1,X0)
| ~ sP37(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_177])]) ).
fof(f2094,plain,
( ! [X0,X1] :
( ~ sP37(X0,X1)
| szDzozmdt0(sdtexdt0(X1,X0)) = X0 )
| ~ spl96_147
| ~ spl96_177 ),
inference(resolution,[],[f1998,f1840]) ).
fof(f1840,plain,
( ! [X2,X0,X1] :
( ~ sP36(X0,X1,X2)
| szDzozmdt0(X0) = X2 )
| ~ spl96_147 ),
inference(avatar_component_clause,[],[f1839]) ).
fof(f1998,plain,
( ! [X0,X1] :
( sP36(sdtexdt0(X1,X0),X1,X0)
| ~ sP37(X0,X1) )
| ~ spl96_177 ),
inference(avatar_component_clause,[],[f1997]) ).
fof(f10296,plain,
( spl96_701
| ~ spl96_15
| spl96_593
| ~ spl96_108
| ~ spl96_174 ),
inference(avatar_split_clause,[],[f2072,f1985,f1597,f7986,f1146,f10293]) ).
fof(f10293,plain,
( spl96_701
<=> sdtlseqdt0(sz00,sK89(szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_701])]) ).
fof(f2072,plain,
( slcrc0 = szNzAzT0
| ~ aSet0(szNzAzT0)
| sdtlseqdt0(sz00,sK89(szNzAzT0))
| ~ spl96_108
| ~ spl96_174 ),
inference(resolution,[],[f1986,f1598]) ).
fof(f10291,plain,
( spl96_700
| ~ spl96_15
| spl96_593
| ~ spl96_106
| ~ spl96_174 ),
inference(avatar_split_clause,[],[f2070,f1985,f1589,f7986,f1146,f10288]) ).
fof(f10288,plain,
( spl96_700
<=> isFinite0(slbdtrb0(sK89(szNzAzT0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_700])]) ).
fof(f2070,plain,
( slcrc0 = szNzAzT0
| ~ aSet0(szNzAzT0)
| isFinite0(slbdtrb0(sK89(szNzAzT0)))
| ~ spl96_106
| ~ spl96_174 ),
inference(resolution,[],[f1986,f1590]) ).
fof(f10286,plain,
( spl96_699
| ~ spl96_108
| ~ spl96_173 ),
inference(avatar_split_clause,[],[f2061,f1981,f1597,f10284]) ).
fof(f10284,plain,
( spl96_699
<=> ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sdtlseqdt0(sz00,sK87(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_699])]) ).
fof(f2061,plain,
( ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sdtlseqdt0(sz00,sK87(X0)) )
| ~ spl96_108
| ~ spl96_173 ),
inference(resolution,[],[f1982,f1598]) ).
fof(f10282,plain,
( spl96_698
| ~ spl96_106
| ~ spl96_173 ),
inference(avatar_split_clause,[],[f2059,f1981,f1589,f10280]) ).
fof(f10280,plain,
( spl96_698
<=> ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| isFinite0(slbdtrb0(sK87(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_698])]) ).
fof(f2059,plain,
( ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| isFinite0(slbdtrb0(sK87(X0))) )
| ~ spl96_106
| ~ spl96_173 ),
inference(resolution,[],[f1982,f1590]) ).
fof(f10278,plain,
( spl96_697
| ~ spl96_113
| ~ spl96_171 ),
inference(avatar_split_clause,[],[f2043,f1973,f1622,f10276]) ).
fof(f10276,plain,
( spl96_697
<=> ! [X0,X1] :
( ~ aElementOf0(X0,slbdtrb0(X1))
| aElementOf0(X0,szNzAzT0)
| ~ sP41(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_697])]) ).
fof(f1973,plain,
( spl96_171
<=> ! [X0,X1,X3] :
( aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X3,X1)
| ~ sP40(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_171])]) ).
fof(f2043,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,slbdtrb0(X1))
| aElementOf0(X0,szNzAzT0)
| ~ sP41(X1) )
| ~ spl96_113
| ~ spl96_171 ),
inference(resolution,[],[f1974,f1623]) ).
fof(f1974,plain,
( ! [X3,X0,X1] :
( ~ sP40(X0,X1)
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,szNzAzT0) )
| ~ spl96_171 ),
inference(avatar_component_clause,[],[f1973]) ).
fof(f10274,plain,
( spl96_696
| ~ spl96_76
| ~ spl96_168 ),
inference(avatar_split_clause,[],[f2034,f1961,f1439,f10272]) ).
fof(f10272,plain,
( spl96_696
<=> ! [X0] :
( sP39(szDzozmdt0(X0),X0)
| ~ aFunction0(X0)
| ~ aSet0(szDzozmdt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_696])]) ).
fof(f1439,plain,
( spl96_76
<=> ! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_76])]) ).
fof(f2034,plain,
( ! [X0] :
( sP39(szDzozmdt0(X0),X0)
| ~ aFunction0(X0)
| ~ aSet0(szDzozmdt0(X0)) )
| ~ spl96_76
| ~ spl96_168 ),
inference(resolution,[],[f1962,f1440]) ).
fof(f1440,plain,
( ! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) )
| ~ spl96_76 ),
inference(avatar_component_clause,[],[f1439]) ).
fof(f10270,plain,
( spl96_695
| ~ spl96_76
| ~ spl96_166 ),
inference(avatar_split_clause,[],[f2029,f1952,f1439,f10268]) ).
fof(f10268,plain,
( spl96_695
<=> ! [X0] :
( sP37(szDzozmdt0(X0),X0)
| ~ aFunction0(X0)
| ~ aSet0(szDzozmdt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_695])]) ).
fof(f2029,plain,
( ! [X0] :
( sP37(szDzozmdt0(X0),X0)
| ~ aFunction0(X0)
| ~ aSet0(szDzozmdt0(X0)) )
| ~ spl96_76
| ~ spl96_166 ),
inference(resolution,[],[f1953,f1440]) ).
fof(f10266,plain,
( spl96_694
| ~ spl96_130
| ~ spl96_154 ),
inference(avatar_split_clause,[],[f1908,f1867,f1722,f10264]) ).
fof(f10264,plain,
( spl96_694
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElement0(X0)
| ~ aSet0(slbdtrb0(szszuzczcdt0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_694])]) ).
fof(f1867,plain,
( spl96_154
<=> ! [X1] :
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_154])]) ).
fof(f1908,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElement0(X0)
| ~ aSet0(slbdtrb0(szszuzczcdt0(X0))) )
| ~ spl96_130
| ~ spl96_154 ),
inference(resolution,[],[f1868,f1723]) ).
fof(f1868,plain,
( ! [X1] :
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0) )
| ~ spl96_154 ),
inference(avatar_component_clause,[],[f1867]) ).
fof(f10262,plain,
( spl96_693
| ~ spl96_48
| ~ spl96_513 ),
inference(avatar_split_clause,[],[f7966,f7235,f1311,f10259]) ).
fof(f10259,plain,
( spl96_693
<=> sP5(sK76) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_693])]) ).
fof(f7235,plain,
( spl96_513
<=> sP8(sK76) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_513])]) ).
fof(f7966,plain,
( sP5(sK76)
| ~ spl96_48
| ~ spl96_513 ),
inference(resolution,[],[f7237,f1312]) ).
fof(f7237,plain,
( sP8(sK76)
| ~ spl96_513 ),
inference(avatar_component_clause,[],[f7235]) ).
fof(f10257,plain,
( spl96_692
| ~ spl96_136
| ~ spl96_151 ),
inference(avatar_split_clause,[],[f1902,f1855,f1746,f10255]) ).
fof(f10255,plain,
( spl96_692
<=> ! [X0,X1] :
( sP47(X0,szszuzczcdt0(X1))
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_692])]) ).
fof(f1902,plain,
( ! [X0,X1] :
( sP47(X0,szszuzczcdt0(X1))
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) )
| ~ spl96_136
| ~ spl96_151 ),
inference(resolution,[],[f1856,f1747]) ).
fof(f10253,plain,
( spl96_691
| ~ spl96_103
| ~ spl96_150 ),
inference(avatar_split_clause,[],[f1899,f1851,f1577,f10251]) ).
fof(f10251,plain,
( spl96_691
<=> ! [X0] :
( sK74(X0) = sbrdtbr0(slbdtrb0(sK74(X0)))
| ~ sP34(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_691])]) ).
fof(f1577,plain,
( spl96_103
<=> ! [X0] :
( aElementOf0(sK74(X0),szNzAzT0)
| ~ sP34(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_103])]) ).
fof(f1899,plain,
( ! [X0] :
( sK74(X0) = sbrdtbr0(slbdtrb0(sK74(X0)))
| ~ sP34(X0) )
| ~ spl96_103
| ~ spl96_150 ),
inference(resolution,[],[f1852,f1578]) ).
fof(f1578,plain,
( ! [X0] :
( aElementOf0(sK74(X0),szNzAzT0)
| ~ sP34(X0) )
| ~ spl96_103 ),
inference(avatar_component_clause,[],[f1577]) ).
fof(f10249,plain,
( spl96_690
| ~ spl96_107
| ~ spl96_149 ),
inference(avatar_split_clause,[],[f1880,f1847,f1593,f10247]) ).
fof(f10247,plain,
( spl96_690
<=> ! [X0] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| sdtlseqdt0(sbrdtbr0(X0),sbrdtbr0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_690])]) ).
fof(f1880,plain,
( ! [X0] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| sdtlseqdt0(sbrdtbr0(X0),sbrdtbr0(X0)) )
| ~ spl96_107
| ~ spl96_149 ),
inference(resolution,[],[f1848,f1594]) ).
fof(f10226,plain,
( spl96_689
| ~ spl96_49
| ~ spl96_513 ),
inference(avatar_split_clause,[],[f7965,f7235,f1315,f10223]) ).
fof(f10223,plain,
( spl96_689
<=> sP6(sK76) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_689])]) ).
fof(f7965,plain,
( sP6(sK76)
| ~ spl96_49
| ~ spl96_513 ),
inference(resolution,[],[f7237,f1316]) ).
fof(f10221,plain,
( ~ spl96_687
| spl96_642
| spl96_688
| ~ spl96_59
| ~ spl96_206 ),
inference(avatar_split_clause,[],[f9601,f2213,f1359,f10218,f9152,f10214]) ).
fof(f10214,plain,
( spl96_687
<=> aSubsetOf0(xP,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_687])]) ).
fof(f9152,plain,
( spl96_642
<=> slcrc0 = xP ),
introduced(avatar_definition,[new_symbols(naming,[spl96_642])]) ).
fof(f10218,plain,
( spl96_688
<=> aElement0(szmzizndt0(xP)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_688])]) ).
fof(f1359,plain,
( spl96_59
<=> ! [X0] :
( aElement0(X0)
| ~ aElementOf0(X0,xP) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_59])]) ).
fof(f9601,plain,
( aElement0(szmzizndt0(xP))
| slcrc0 = xP
| ~ aSubsetOf0(xP,szNzAzT0)
| ~ spl96_59
| ~ spl96_206 ),
inference(resolution,[],[f1360,f2214]) ).
fof(f1360,plain,
( ! [X0] :
( ~ aElementOf0(X0,xP)
| aElement0(X0) )
| ~ spl96_59 ),
inference(avatar_component_clause,[],[f1359]) ).
fof(f9971,plain,
( spl96_686
| ~ spl96_50
| ~ spl96_513 ),
inference(avatar_split_clause,[],[f7964,f7235,f1319,f9968]) ).
fof(f9968,plain,
( spl96_686
<=> sP7(sK76) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_686])]) ).
fof(f1319,plain,
( spl96_50
<=> ! [X0] :
( sP7(X0)
| ~ sP8(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_50])]) ).
fof(f7964,plain,
( sP7(sK76)
| ~ spl96_50
| ~ spl96_513 ),
inference(resolution,[],[f7237,f1320]) ).
fof(f1320,plain,
( ! [X0] :
( ~ sP8(X0)
| sP7(X0) )
| ~ spl96_50 ),
inference(avatar_component_clause,[],[f1319]) ).
fof(f9964,plain,
( ~ spl96_210
| ~ spl96_685
| ~ spl96_58
| ~ spl96_354 ),
inference(avatar_split_clause,[],[f4049,f3578,f1354,f9961,f2302]) ).
fof(f9961,plain,
( spl96_685
<=> aElementOf0(szmzizndt0(xS),sdtmndt0(xS,szmzizndt0(xS))) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_685])]) ).
fof(f3578,plain,
( spl96_354
<=> ! [X0] :
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP5(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_354])]) ).
fof(f4049,plain,
( ~ aElementOf0(szmzizndt0(xS),sdtmndt0(xS,szmzizndt0(xS)))
| ~ sP5(sz00)
| ~ spl96_58
| ~ spl96_354 ),
inference(superposition,[],[f3579,f1356]) ).
fof(f3579,plain,
( ! [X0] :
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP5(X0) )
| ~ spl96_354 ),
inference(avatar_component_clause,[],[f3578]) ).
fof(f9959,plain,
( spl96_684
| ~ spl96_59
| ~ spl96_349 ),
inference(avatar_split_clause,[],[f3995,f3558,f1359,f9957]) ).
fof(f9957,plain,
( spl96_684
<=> ! [X0,X1] :
( aElement0(sK92(X0,X1,xP))
| sP45(X0,X1,xP) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_684])]) ).
fof(f3995,plain,
( ! [X0,X1] :
( aElement0(sK92(X0,X1,xP))
| sP45(X0,X1,xP) )
| ~ spl96_59
| ~ spl96_349 ),
inference(duplicate_literal_removal,[],[f3993]) ).
fof(f3993,plain,
( ! [X0,X1] :
( aElement0(sK92(X0,X1,xP))
| sP45(X0,X1,xP)
| aElement0(sK92(X0,X1,xP)) )
| ~ spl96_59
| ~ spl96_349 ),
inference(resolution,[],[f3559,f1360]) ).
fof(f9955,plain,
( spl96_683
| ~ spl96_59
| ~ spl96_346 ),
inference(avatar_split_clause,[],[f3912,f3546,f1359,f9953]) ).
fof(f9953,plain,
( spl96_683
<=> ! [X0,X1] :
( aElement0(sK91(X0,X1,xP))
| sP44(X0,X1,xP) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_683])]) ).
fof(f3912,plain,
( ! [X0,X1] :
( aElement0(sK91(X0,X1,xP))
| sP44(X0,X1,xP) )
| ~ spl96_59
| ~ spl96_346 ),
inference(duplicate_literal_removal,[],[f3910]) ).
fof(f3910,plain,
( ! [X0,X1] :
( aElement0(sK91(X0,X1,xP))
| sP44(X0,X1,xP)
| aElement0(sK91(X0,X1,xP)) )
| ~ spl96_59
| ~ spl96_346 ),
inference(resolution,[],[f3547,f1360]) ).
fof(f9951,plain,
( spl96_682
| ~ spl96_142
| ~ spl96_294 ),
inference(avatar_split_clause,[],[f3072,f3053,f1816,f9949]) ).
fof(f9949,plain,
( spl96_682
<=> ! [X0] :
( ~ isCountable0(sdtlpdtrp0(xN,X0))
| sP10(X0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_682])]) ).
fof(f1816,plain,
( spl96_142
<=> ! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_142])]) ).
fof(f3053,plain,
( spl96_294
<=> ! [X0] :
( sP10(X0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_294])]) ).
fof(f3072,plain,
( ! [X0] :
( ~ isCountable0(sdtlpdtrp0(xN,X0))
| sP10(X0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_142
| ~ spl96_294 ),
inference(duplicate_literal_removal,[],[f3070]) ).
fof(f3070,plain,
( ! [X0] :
( ~ isCountable0(sdtlpdtrp0(xN,X0))
| sP10(X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_142
| ~ spl96_294 ),
inference(resolution,[],[f3054,f1817]) ).
fof(f1817,plain,
( ! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_142 ),
inference(avatar_component_clause,[],[f1816]) ).
fof(f3054,plain,
( ! [X0] :
( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| sP10(X0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_294 ),
inference(avatar_component_clause,[],[f3053]) ).
fof(f9947,plain,
( spl96_681
| ~ spl96_58
| ~ spl96_282 ),
inference(avatar_split_clause,[],[f3006,f2941,f1354,f9945]) ).
fof(f9945,plain,
( spl96_681
<=> ! [X0] :
( aSubsetOf0(X0,sdtmndt0(xS,szmzizndt0(xS)))
| ~ sP28(sz00,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_681])]) ).
fof(f2941,plain,
( spl96_282
<=> ! [X0,X1] :
( aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP28(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_282])]) ).
fof(f3006,plain,
( ! [X0] :
( aSubsetOf0(X0,sdtmndt0(xS,szmzizndt0(xS)))
| ~ sP28(sz00,X0) )
| ~ spl96_58
| ~ spl96_282 ),
inference(superposition,[],[f2942,f1356]) ).
fof(f2942,plain,
( ! [X0,X1] :
( aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP28(X0,X1) )
| ~ spl96_282 ),
inference(avatar_component_clause,[],[f2941]) ).
fof(f9943,plain,
( spl96_680
| ~ spl96_58
| ~ spl96_281 ),
inference(avatar_split_clause,[],[f3001,f2937,f1354,f9941]) ).
fof(f9941,plain,
( spl96_680
<=> ! [X0] :
( ~ aSubsetOf0(X0,sdtmndt0(xS,szmzizndt0(xS)))
| ~ sP29(sz00,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_680])]) ).
fof(f2937,plain,
( spl96_281
<=> ! [X0,X1] :
( ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP29(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_281])]) ).
fof(f3001,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,sdtmndt0(xS,szmzizndt0(xS)))
| ~ sP29(sz00,X0) )
| ~ spl96_58
| ~ spl96_281 ),
inference(superposition,[],[f2938,f1356]) ).
fof(f2938,plain,
( ! [X0,X1] :
( ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP29(X0,X1) )
| ~ spl96_281 ),
inference(avatar_component_clause,[],[f2937]) ).
fof(f9935,plain,
( ~ spl96_66
| spl96_679
| ~ spl96_58
| ~ spl96_276 ),
inference(avatar_split_clause,[],[f2980,f2917,f1354,f9933,f1394]) ).
fof(f9933,plain,
( spl96_679
<=> ! [X0] :
( sdtlseqdt0(szmzizndt0(xS),X0)
| ~ aElementOf0(X0,xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_679])]) ).
fof(f2917,plain,
( spl96_276
<=> ! [X0,X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X1)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ sP8(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_276])]) ).
fof(f2980,plain,
( ! [X0] :
( sdtlseqdt0(szmzizndt0(xS),X0)
| ~ aElementOf0(X0,xS)
| ~ sP8(sz00) )
| ~ spl96_58
| ~ spl96_276 ),
inference(superposition,[],[f2918,f1356]) ).
fof(f2918,plain,
( ! [X0,X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X1)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ sP8(X0) )
| ~ spl96_276 ),
inference(avatar_component_clause,[],[f2917]) ).
fof(f9927,plain,
( spl96_678
| ~ spl96_48
| ~ spl96_484 ),
inference(avatar_split_clause,[],[f7335,f6927,f1311,f9924]) ).
fof(f9924,plain,
( spl96_678
<=> sP5(sK56) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_678])]) ).
fof(f6927,plain,
( spl96_484
<=> sP8(sK56) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_484])]) ).
fof(f7335,plain,
( sP5(sK56)
| ~ spl96_48
| ~ spl96_484 ),
inference(resolution,[],[f6929,f1312]) ).
fof(f6929,plain,
( sP8(sK56)
| ~ spl96_484 ),
inference(avatar_component_clause,[],[f6927]) ).
fof(f9922,plain,
( ~ spl96_13
| spl96_677
| ~ spl96_30
| ~ spl96_263 ),
inference(avatar_split_clause,[],[f2775,f2698,f1221,f9919,f1136]) ).
fof(f9919,plain,
( spl96_677
<=> xQ = sdtpldt0(sdtmndt0(xQ,sK56),sK56) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_677])]) ).
fof(f1221,plain,
( spl96_30
<=> aElementOf0(sK56,xQ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_30])]) ).
fof(f2775,plain,
( xQ = sdtpldt0(sdtmndt0(xQ,sK56),sK56)
| ~ aSet0(xQ)
| ~ spl96_30
| ~ spl96_263 ),
inference(resolution,[],[f2699,f1223]) ).
fof(f1223,plain,
( aElementOf0(sK56,xQ)
| ~ spl96_30 ),
inference(avatar_component_clause,[],[f1221]) ).
fof(f9913,plain,
( ~ spl96_15
| spl96_676
| ~ spl96_26
| ~ spl96_263 ),
inference(avatar_split_clause,[],[f2770,f2698,f1201,f9910,f1146]) ).
fof(f9910,plain,
( spl96_676
<=> szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,xk),xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_676])]) ).
fof(f2770,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,xk),xk)
| ~ aSet0(szNzAzT0)
| ~ spl96_26
| ~ spl96_263 ),
inference(resolution,[],[f2699,f1203]) ).
fof(f9904,plain,
( ~ spl96_15
| spl96_675
| ~ spl96_23
| ~ spl96_263 ),
inference(avatar_split_clause,[],[f2769,f2698,f1186,f9901,f1146]) ).
fof(f9901,plain,
( spl96_675
<=> szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,xK),xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_675])]) ).
fof(f2769,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,xK),xK)
| ~ aSet0(szNzAzT0)
| ~ spl96_23
| ~ spl96_263 ),
inference(resolution,[],[f2699,f1188]) ).
fof(f9899,plain,
( spl96_674
| ~ spl96_156
| ~ spl96_250 ),
inference(avatar_split_clause,[],[f2644,f2614,f1911,f9897]) ).
fof(f9897,plain,
( spl96_674
<=> ! [X0] :
( ~ aElementOf0(X0,szDzozmdt0(xc))
| aElementOf0(sdtlpdtrp0(xc,X0),xT) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_674])]) ).
fof(f1911,plain,
( spl96_156
<=> ! [X0] :
( aElementOf0(X0,xT)
| ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_156])]) ).
fof(f2644,plain,
( ! [X0] :
( ~ aElementOf0(X0,szDzozmdt0(xc))
| aElementOf0(sdtlpdtrp0(xc,X0),xT) )
| ~ spl96_156
| ~ spl96_250 ),
inference(resolution,[],[f2615,f1912]) ).
fof(f1912,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| aElementOf0(X0,xT) )
| ~ spl96_156 ),
inference(avatar_component_clause,[],[f1911]) ).
fof(f9895,plain,
( ~ spl96_35
| ~ spl96_672 ),
inference(avatar_contradiction_clause,[],[f9891]) ).
fof(f9891,plain,
( $false
| ~ spl96_35
| ~ spl96_672 ),
inference(resolution,[],[f9781,f1247]) ).
fof(f9781,plain,
( aElementOf0(sK89(xQ),slcrc0)
| ~ spl96_672 ),
inference(avatar_component_clause,[],[f9779]) ).
fof(f9779,plain,
( spl96_672
<=> aElementOf0(sK89(xQ),slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_672])]) ).
fof(f9802,plain,
( spl96_673
| ~ spl96_660
| spl96_593
| ~ spl96_62
| ~ spl96_206 ),
inference(avatar_split_clause,[],[f2309,f2213,f1373,f7986,f9351,f9799]) ).
fof(f9799,plain,
( spl96_673
<=> sP11(szmzizndt0(szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_673])]) ).
fof(f2309,plain,
( slcrc0 = szNzAzT0
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| sP11(szmzizndt0(szNzAzT0))
| ~ spl96_62
| ~ spl96_206 ),
inference(resolution,[],[f2214,f1374]) ).
fof(f9782,plain,
( spl96_672
| ~ spl96_593
| ~ spl96_633 ),
inference(avatar_split_clause,[],[f8831,f8827,f7986,f9779]) ).
fof(f8827,plain,
( spl96_633
<=> aElementOf0(sK89(xQ),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_633])]) ).
fof(f8831,plain,
( aElementOf0(sK89(xQ),slcrc0)
| ~ spl96_593
| ~ spl96_633 ),
inference(forward_demodulation,[],[f8829,f7988]) ).
fof(f7988,plain,
( slcrc0 = szNzAzT0
| ~ spl96_593 ),
inference(avatar_component_clause,[],[f7986]) ).
fof(f8829,plain,
( aElementOf0(sK89(xQ),szNzAzT0)
| ~ spl96_633 ),
inference(avatar_component_clause,[],[f8827]) ).
fof(f9775,plain,
( spl96_671
| ~ spl96_50
| ~ spl96_491 ),
inference(avatar_split_clause,[],[f9683,f6984,f1319,f9772]) ).
fof(f9772,plain,
( spl96_671
<=> sP7(sbrdtbr0(xP)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_671])]) ).
fof(f9683,plain,
( sP7(sbrdtbr0(xP))
| ~ spl96_50
| ~ spl96_491 ),
inference(resolution,[],[f6986,f1320]) ).
fof(f9595,plain,
( spl96_670
| ~ spl96_19
| ~ spl96_593 ),
inference(avatar_split_clause,[],[f9574,f7986,f1165,f9592]) ).
fof(f9592,plain,
( spl96_670
<=> aElementOf0(sbrdtbr0(xP),slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_670])]) ).
fof(f9574,plain,
( aElementOf0(sbrdtbr0(xP),slcrc0)
| ~ spl96_19
| ~ spl96_593 ),
inference(forward_demodulation,[],[f1166,f7988]) ).
fof(f9565,plain,
( spl96_669
| ~ spl96_593
| ~ spl96_642 ),
inference(avatar_split_clause,[],[f9532,f9152,f7986,f9562]) ).
fof(f9562,plain,
( spl96_669
<=> szNzAzT0 = xP ),
introduced(avatar_definition,[new_symbols(naming,[spl96_669])]) ).
fof(f9532,plain,
( szNzAzT0 = xP
| ~ spl96_593
| ~ spl96_642 ),
inference(forward_demodulation,[],[f7988,f9154]) ).
fof(f9154,plain,
( slcrc0 = xP
| ~ spl96_642 ),
inference(avatar_component_clause,[],[f9152]) ).
fof(f9390,plain,
( ~ spl96_15
| ~ spl96_76
| spl96_660 ),
inference(avatar_split_clause,[],[f9360,f9351,f1439,f1146]) ).
fof(f9360,plain,
( ~ aSet0(szNzAzT0)
| ~ spl96_76
| spl96_660 ),
inference(resolution,[],[f9353,f1440]) ).
fof(f9353,plain,
( ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| spl96_660 ),
inference(avatar_component_clause,[],[f9351]) ).
fof(f9389,plain,
( spl96_668
| ~ spl96_26
| ~ spl96_249 ),
inference(avatar_split_clause,[],[f2636,f2610,f1201,f9387]) ).
fof(f9387,plain,
( spl96_668
<=> ! [X0] :
( xk = X0
| sP35(X0,xk)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_668])]) ).
fof(f2636,plain,
( ! [X0] :
( xk = X0
| sP35(X0,xk)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_26
| ~ spl96_249 ),
inference(resolution,[],[f2611,f1203]) ).
fof(f9385,plain,
( spl96_667
| ~ spl96_23
| ~ spl96_249 ),
inference(avatar_split_clause,[],[f2635,f2610,f1186,f9383]) ).
fof(f9383,plain,
( spl96_667
<=> ! [X0] :
( xK = X0
| sP35(X0,xK)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_667])]) ).
fof(f2635,plain,
( ! [X0] :
( xK = X0
| sP35(X0,xK)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_23
| ~ spl96_249 ),
inference(resolution,[],[f2611,f1188]) ).
fof(f9381,plain,
( spl96_666
| ~ spl96_34
| ~ spl96_249 ),
inference(avatar_split_clause,[],[f2631,f2610,f1241,f9379]) ).
fof(f9379,plain,
( spl96_666
<=> ! [X0] :
( sz00 = X0
| sP35(X0,sz00)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_666])]) ).
fof(f2631,plain,
( ! [X0] :
( sz00 = X0
| sP35(X0,sz00)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_34
| ~ spl96_249 ),
inference(resolution,[],[f2611,f1243]) ).
fof(f9377,plain,
( spl96_665
| ~ spl96_58
| ~ spl96_226 ),
inference(avatar_split_clause,[],[f2538,f2465,f1354,f9375]) ).
fof(f9375,plain,
( spl96_665
<=> ! [X0] :
( aSubsetOf0(sdtpldt0(X0,szmzizndt0(xS)),xS)
| ~ sP16(sz00,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_665])]) ).
fof(f2465,plain,
( spl96_226
<=> ! [X0,X1] :
( aSubsetOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),xS)
| ~ sP16(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_226])]) ).
fof(f2538,plain,
( ! [X0] :
( aSubsetOf0(sdtpldt0(X0,szmzizndt0(xS)),xS)
| ~ sP16(sz00,X0) )
| ~ spl96_58
| ~ spl96_226 ),
inference(superposition,[],[f2466,f1356]) ).
fof(f2466,plain,
( ! [X0,X1] :
( aSubsetOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),xS)
| ~ sP16(X0,X1) )
| ~ spl96_226 ),
inference(avatar_component_clause,[],[f2465]) ).
fof(f9373,plain,
( spl96_664
| ~ spl96_185
| ~ spl96_217 ),
inference(avatar_split_clause,[],[f2429,f2374,f2110,f9371]) ).
fof(f9371,plain,
( spl96_664
<=> ! [X0] :
( aElementOf0(sdtlpdtrp0(xe,sK54(X0)),xO)
| ~ aElementOf0(X0,xO) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_664])]) ).
fof(f2374,plain,
( spl96_217
<=> ! [X1] :
( aElementOf0(sdtlpdtrp0(xe,X1),xO)
| ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_217])]) ).
fof(f2429,plain,
( ! [X0] :
( aElementOf0(sdtlpdtrp0(xe,sK54(X0)),xO)
| ~ aElementOf0(X0,xO) )
| ~ spl96_185
| ~ spl96_217 ),
inference(resolution,[],[f2375,f2111]) ).
fof(f2375,plain,
( ! [X1] :
( ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| aElementOf0(sdtlpdtrp0(xe,X1),xO) )
| ~ spl96_217 ),
inference(avatar_component_clause,[],[f2374]) ).
fof(f9369,plain,
( spl96_662
| ~ spl96_663
| spl96_596
| ~ spl96_63
| ~ spl96_206 ),
inference(avatar_split_clause,[],[f2329,f2213,f1377,f8071,f9366,f9362]) ).
fof(f9362,plain,
( spl96_662
<=> sP34(szmzizndt0(xO)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_662])]) ).
fof(f9366,plain,
( spl96_663
<=> aSubsetOf0(xO,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_663])]) ).
fof(f8071,plain,
( spl96_596
<=> slcrc0 = xO ),
introduced(avatar_definition,[new_symbols(naming,[spl96_596])]) ).
fof(f2329,plain,
( slcrc0 = xO
| ~ aSubsetOf0(xO,szNzAzT0)
| sP34(szmzizndt0(xO))
| ~ spl96_63
| ~ spl96_206 ),
inference(resolution,[],[f2214,f1378]) ).
fof(f9359,plain,
( spl96_661
| ~ spl96_49
| ~ spl96_484 ),
inference(avatar_split_clause,[],[f7334,f6927,f1315,f9356]) ).
fof(f9356,plain,
( spl96_661
<=> sP6(sK56) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_661])]) ).
fof(f7334,plain,
( sP6(sK56)
| ~ spl96_49
| ~ spl96_484 ),
inference(resolution,[],[f6929,f1316]) ).
fof(f9354,plain,
( spl96_659
| ~ spl96_660
| spl96_593
| ~ spl96_57
| ~ spl96_206 ),
inference(avatar_split_clause,[],[f2308,f2213,f1350,f7986,f9351,f9347]) ).
fof(f9347,plain,
( spl96_659
<=> sP8(szmzizndt0(szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_659])]) ).
fof(f2308,plain,
( slcrc0 = szNzAzT0
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| sP8(szmzizndt0(szNzAzT0))
| ~ spl96_57
| ~ spl96_206 ),
inference(resolution,[],[f2214,f1351]) ).
fof(f9328,plain,
( ~ spl96_4
| spl96_658
| ~ spl96_38
| ~ spl96_203 ),
inference(avatar_split_clause,[],[f2297,f2199,f1260,f9326,f1091]) ).
fof(f1091,plain,
( spl96_4
<=> aFunction0(xd) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_4])]) ).
fof(f9326,plain,
( spl96_658
<=> ! [X0] :
( aSubsetOf0(sdtlbdtrb0(xd,X0),szNzAzT0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_658])]) ).
fof(f1260,plain,
( spl96_38
<=> szNzAzT0 = szDzozmdt0(xd) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_38])]) ).
fof(f2297,plain,
( ! [X0] :
( aSubsetOf0(sdtlbdtrb0(xd,X0),szNzAzT0)
| ~ aElement0(X0)
| ~ aFunction0(xd) )
| ~ spl96_38
| ~ spl96_203 ),
inference(superposition,[],[f2200,f1262]) ).
fof(f1262,plain,
( szNzAzT0 = szDzozmdt0(xd)
| ~ spl96_38 ),
inference(avatar_component_clause,[],[f1260]) ).
fof(f9307,plain,
( ~ spl96_1
| spl96_657
| ~ spl96_36
| ~ spl96_203 ),
inference(avatar_split_clause,[],[f2296,f2199,f1250,f9305,f1076]) ).
fof(f9305,plain,
( spl96_657
<=> ! [X0] :
( aSubsetOf0(sdtlbdtrb0(xe,X0),szNzAzT0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_657])]) ).
fof(f2296,plain,
( ! [X0] :
( aSubsetOf0(sdtlbdtrb0(xe,X0),szNzAzT0)
| ~ aElement0(X0)
| ~ aFunction0(xe) )
| ~ spl96_36
| ~ spl96_203 ),
inference(superposition,[],[f2200,f1252]) ).
fof(f9286,plain,
( ~ spl96_3
| spl96_656
| ~ spl96_37
| ~ spl96_203 ),
inference(avatar_split_clause,[],[f2295,f2199,f1255,f9284,f1086]) ).
fof(f9284,plain,
( spl96_656
<=> ! [X0] :
( aSubsetOf0(sdtlbdtrb0(xC,X0),szNzAzT0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_656])]) ).
fof(f2295,plain,
( ! [X0] :
( aSubsetOf0(sdtlbdtrb0(xC,X0),szNzAzT0)
| ~ aElement0(X0)
| ~ aFunction0(xC) )
| ~ spl96_37
| ~ spl96_203 ),
inference(superposition,[],[f2200,f1257]) ).
fof(f9265,plain,
( ~ spl96_5
| spl96_655
| ~ spl96_39
| ~ spl96_203 ),
inference(avatar_split_clause,[],[f2294,f2199,f1265,f9263,f1096]) ).
fof(f9263,plain,
( spl96_655
<=> ! [X0] :
( aSubsetOf0(sdtlbdtrb0(xN,X0),szNzAzT0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_655])]) ).
fof(f2294,plain,
( ! [X0] :
( aSubsetOf0(sdtlbdtrb0(xN,X0),szNzAzT0)
| ~ aElement0(X0)
| ~ aFunction0(xN) )
| ~ spl96_39
| ~ spl96_203 ),
inference(superposition,[],[f2200,f1267]) ).
fof(f9261,plain,
( spl96_654
| ~ spl96_62
| ~ spl96_200 ),
inference(avatar_split_clause,[],[f2279,f2187,f1373,f9259]) ).
fof(f9259,plain,
( spl96_654
<=> ! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| sP11(sK84(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_654])]) ).
fof(f2279,plain,
( ! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| sP11(sK84(X0)) )
| ~ spl96_62
| ~ spl96_200 ),
inference(resolution,[],[f2188,f1374]) ).
fof(f9257,plain,
( spl96_653
| ~ spl96_50
| ~ spl96_484 ),
inference(avatar_split_clause,[],[f7333,f6927,f1319,f9254]) ).
fof(f9254,plain,
( spl96_653
<=> sP7(sK56) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_653])]) ).
fof(f7333,plain,
( sP7(sK56)
| ~ spl96_50
| ~ spl96_484 ),
inference(resolution,[],[f6929,f1320]) ).
fof(f9252,plain,
( spl96_652
| ~ spl96_57
| ~ spl96_200 ),
inference(avatar_split_clause,[],[f2278,f2187,f1350,f9250]) ).
fof(f9250,plain,
( spl96_652
<=> ! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| sP8(sK84(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_652])]) ).
fof(f2278,plain,
( ! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| sP8(sK84(X0)) )
| ~ spl96_57
| ~ spl96_200 ),
inference(resolution,[],[f2188,f1351]) ).
fof(f9247,plain,
( ~ spl96_4
| spl96_651
| ~ spl96_38
| ~ spl96_199 ),
inference(avatar_split_clause,[],[f2277,f2183,f1260,f9245,f1091]) ).
fof(f9245,plain,
( spl96_651
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElement0(sdtlpdtrp0(xd,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_651])]) ).
fof(f2183,plain,
( spl96_199
<=> ! [X0,X1] :
( aElement0(sdtlpdtrp0(X0,X1))
| ~ aElementOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_199])]) ).
fof(f2277,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElement0(sdtlpdtrp0(xd,X0))
| ~ aFunction0(xd) )
| ~ spl96_38
| ~ spl96_199 ),
inference(superposition,[],[f2184,f1262]) ).
fof(f2184,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,szDzozmdt0(X0))
| aElement0(sdtlpdtrp0(X0,X1))
| ~ aFunction0(X0) )
| ~ spl96_199 ),
inference(avatar_component_clause,[],[f2183]) ).
fof(f9241,plain,
( ~ spl96_1
| spl96_650
| ~ spl96_36
| ~ spl96_199 ),
inference(avatar_split_clause,[],[f2276,f2183,f1250,f9239,f1076]) ).
fof(f9239,plain,
( spl96_650
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElement0(sdtlpdtrp0(xe,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_650])]) ).
fof(f2276,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElement0(sdtlpdtrp0(xe,X0))
| ~ aFunction0(xe) )
| ~ spl96_36
| ~ spl96_199 ),
inference(superposition,[],[f2184,f1252]) ).
fof(f9237,plain,
( ~ spl96_3
| spl96_649
| ~ spl96_37
| ~ spl96_199 ),
inference(avatar_split_clause,[],[f2275,f2183,f1255,f9235,f1086]) ).
fof(f9235,plain,
( spl96_649
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElement0(sdtlpdtrp0(xC,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_649])]) ).
fof(f2275,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElement0(sdtlpdtrp0(xC,X0))
| ~ aFunction0(xC) )
| ~ spl96_37
| ~ spl96_199 ),
inference(superposition,[],[f2184,f1257]) ).
fof(f9232,plain,
( ~ spl96_5
| spl96_648
| ~ spl96_39
| ~ spl96_199 ),
inference(avatar_split_clause,[],[f2274,f2183,f1265,f9230,f1096]) ).
fof(f9230,plain,
( spl96_648
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElement0(sdtlpdtrp0(xN,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_648])]) ).
fof(f2274,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElement0(sdtlpdtrp0(xN,X0))
| ~ aFunction0(xN) )
| ~ spl96_39
| ~ spl96_199 ),
inference(superposition,[],[f2184,f1267]) ).
fof(f9202,plain,
( spl96_155
| ~ spl96_14
| ~ spl96_642 ),
inference(avatar_split_clause,[],[f9167,f9152,f1141,f1890]) ).
fof(f1890,plain,
( spl96_155
<=> isFinite0(xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_155])]) ).
fof(f1141,plain,
( spl96_14
<=> isFinite0(slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_14])]) ).
fof(f9167,plain,
( isFinite0(xP)
| ~ spl96_14
| ~ spl96_642 ),
inference(superposition,[],[f1143,f9154]) ).
fof(f1143,plain,
( isFinite0(slcrc0)
| ~ spl96_14 ),
inference(avatar_component_clause,[],[f1141]) ).
fof(f9199,plain,
( spl96_647
| ~ spl96_9
| ~ spl96_63
| ~ spl96_193 ),
inference(avatar_split_clause,[],[f2253,f2158,f1377,f1116,f9197]) ).
fof(f9197,plain,
( spl96_647
<=> ! [X0] :
( ~ sP26(X0,xO)
| sP34(sK67(X0,xO)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_647])]) ).
fof(f2253,plain,
( ! [X0] :
( ~ aSet0(xO)
| ~ sP26(X0,xO)
| sP34(sK67(X0,xO)) )
| ~ spl96_63
| ~ spl96_193 ),
inference(resolution,[],[f2159,f1378]) ).
fof(f9195,plain,
( spl96_646
| ~ spl96_15
| ~ spl96_62
| ~ spl96_193 ),
inference(avatar_split_clause,[],[f2234,f2158,f1373,f1146,f9193]) ).
fof(f9193,plain,
( spl96_646
<=> ! [X0] :
( ~ sP26(X0,szNzAzT0)
| sP11(sK67(X0,szNzAzT0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_646])]) ).
fof(f2234,plain,
( ! [X0] :
( ~ aSet0(szNzAzT0)
| ~ sP26(X0,szNzAzT0)
| sP11(sK67(X0,szNzAzT0)) )
| ~ spl96_62
| ~ spl96_193 ),
inference(resolution,[],[f2159,f1374]) ).
fof(f9187,plain,
( spl96_645
| ~ spl96_15
| ~ spl96_57
| ~ spl96_193 ),
inference(avatar_split_clause,[],[f2233,f2158,f1350,f1146,f9185]) ).
fof(f9185,plain,
( spl96_645
<=> ! [X0] :
( ~ sP26(X0,szNzAzT0)
| sP8(sK67(X0,szNzAzT0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_645])]) ).
fof(f2233,plain,
( ! [X0] :
( ~ aSet0(szNzAzT0)
| ~ sP26(X0,szNzAzT0)
| sP8(sK67(X0,szNzAzT0)) )
| ~ spl96_57
| ~ spl96_193 ),
inference(resolution,[],[f2159,f1351]) ).
fof(f9183,plain,
( spl96_644
| ~ spl96_159
| ~ spl96_187 ),
inference(avatar_split_clause,[],[f2138,f2118,f1923,f9181]) ).
fof(f9181,plain,
( spl96_644
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(sK55(sdtlpdtrp0(xd,X0)),szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_644])]) ).
fof(f1923,plain,
( spl96_159
<=> ! [X1] :
( ~ aElementOf0(X1,sdtlcdtrc0(xd,szNzAzT0))
| aElementOf0(sK55(X1),szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_159])]) ).
fof(f2118,plain,
( spl96_187
<=> ! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| aElementOf0(sdtlpdtrp0(xd,X2),sdtlcdtrc0(xd,szNzAzT0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_187])]) ).
fof(f2138,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(sK55(sdtlpdtrp0(xd,X0)),szNzAzT0) )
| ~ spl96_159
| ~ spl96_187 ),
inference(resolution,[],[f2119,f1924]) ).
fof(f1924,plain,
( ! [X1] :
( ~ aElementOf0(X1,sdtlcdtrc0(xd,szNzAzT0))
| aElementOf0(sK55(X1),szNzAzT0) )
| ~ spl96_159 ),
inference(avatar_component_clause,[],[f1923]) ).
fof(f2119,plain,
( ! [X2] :
( aElementOf0(sdtlpdtrp0(xd,X2),sdtlcdtrc0(xd,szNzAzT0))
| ~ aElementOf0(X2,szNzAzT0) )
| ~ spl96_187 ),
inference(avatar_component_clause,[],[f2118]) ).
fof(f9166,plain,
( spl96_643
| ~ spl96_6
| spl96_642
| ~ spl96_83
| ~ spl96_174 ),
inference(avatar_split_clause,[],[f2091,f1985,f1481,f9152,f1101,f9163]) ).
fof(f9163,plain,
( spl96_643
<=> aElementOf0(sK89(xP),xQ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_643])]) ).
fof(f2091,plain,
( slcrc0 = xP
| ~ aSet0(xP)
| aElementOf0(sK89(xP),xQ)
| ~ spl96_83
| ~ spl96_174 ),
inference(resolution,[],[f1986,f1482]) ).
fof(f9155,plain,
( spl96_641
| ~ spl96_6
| spl96_642
| ~ spl96_89
| ~ spl96_174 ),
inference(avatar_split_clause,[],[f2090,f1985,f1508,f9152,f1101,f9148]) ).
fof(f9148,plain,
( spl96_641
<=> aElementOf0(sK89(xP),xO) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_641])]) ).
fof(f2090,plain,
( slcrc0 = xP
| ~ aSet0(xP)
| aElementOf0(sK89(xP),xO)
| ~ spl96_89
| ~ spl96_174 ),
inference(resolution,[],[f1986,f1509]) ).
fof(f9140,plain,
( spl96_634
| ~ spl96_13
| spl96_31
| ~ spl96_87
| ~ spl96_174 ),
inference(avatar_split_clause,[],[f2089,f1985,f1500,f1226,f1136,f8834]) ).
fof(f8834,plain,
( spl96_634
<=> aElementOf0(sK89(xQ),xO) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_634])]) ).
fof(f1226,plain,
( spl96_31
<=> slcrc0 = xQ ),
introduced(avatar_definition,[new_symbols(naming,[spl96_31])]) ).
fof(f2089,plain,
( slcrc0 = xQ
| ~ aSet0(xQ)
| aElementOf0(sK89(xQ),xO)
| ~ spl96_87
| ~ spl96_174 ),
inference(resolution,[],[f1986,f1501]) ).
fof(f9115,plain,
( spl96_639
| ~ spl96_11
| spl96_640
| ~ spl96_86
| ~ spl96_174 ),
inference(avatar_split_clause,[],[f2082,f1985,f1496,f9112,f1126,f9108]) ).
fof(f9108,plain,
( spl96_639
<=> aElementOf0(sK89(xS),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_639])]) ).
fof(f9112,plain,
( spl96_640
<=> slcrc0 = xS ),
introduced(avatar_definition,[new_symbols(naming,[spl96_640])]) ).
fof(f2082,plain,
( slcrc0 = xS
| ~ aSet0(xS)
| aElementOf0(sK89(xS),szNzAzT0)
| ~ spl96_86
| ~ spl96_174 ),
inference(resolution,[],[f1986,f1497]) ).
fof(f8983,plain,
( spl96_489
| ~ spl96_14
| ~ spl96_596 ),
inference(avatar_split_clause,[],[f8815,f8071,f1141,f6956]) ).
fof(f6956,plain,
( spl96_489
<=> isFinite0(xO) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_489])]) ).
fof(f8815,plain,
( isFinite0(xO)
| ~ spl96_14
| ~ spl96_596 ),
inference(superposition,[],[f1143,f8073]) ).
fof(f8073,plain,
( slcrc0 = xO
| ~ spl96_596 ),
inference(avatar_component_clause,[],[f8071]) ).
fof(f8976,plain,
( spl96_638
| ~ spl96_618
| ~ spl96_637 ),
inference(avatar_split_clause,[],[f8971,f8967,f8285,f8973]) ).
fof(f8973,plain,
( spl96_638
<=> sdtlseqdt0(sK56,sK89(xQ)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_638])]) ).
fof(f8285,plain,
( spl96_618
<=> xp = sK56 ),
introduced(avatar_definition,[new_symbols(naming,[spl96_618])]) ).
fof(f8967,plain,
( spl96_637
<=> sdtlseqdt0(xp,sK89(xQ)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_637])]) ).
fof(f8971,plain,
( sdtlseqdt0(sK56,sK89(xQ))
| ~ spl96_618
| ~ spl96_637 ),
inference(forward_demodulation,[],[f8969,f8287]) ).
fof(f8287,plain,
( xp = sK56
| ~ spl96_618 ),
inference(avatar_component_clause,[],[f8285]) ).
fof(f8969,plain,
( sdtlseqdt0(xp,sK89(xQ))
| ~ spl96_637 ),
inference(avatar_component_clause,[],[f8967]) ).
fof(f8970,plain,
( spl96_637
| ~ spl96_13
| spl96_31
| ~ spl96_88
| ~ spl96_174 ),
inference(avatar_split_clause,[],[f2088,f1985,f1504,f1226,f1136,f8967]) ).
fof(f2088,plain,
( slcrc0 = xQ
| ~ aSet0(xQ)
| sdtlseqdt0(xp,sK89(xQ))
| ~ spl96_88
| ~ spl96_174 ),
inference(resolution,[],[f1986,f1505]) ).
fof(f8961,plain,
( spl96_636
| ~ spl96_13
| spl96_31
| ~ spl96_91
| ~ spl96_174 ),
inference(avatar_split_clause,[],[f2087,f1985,f1516,f1226,f1136,f8958]) ).
fof(f8958,plain,
( spl96_636
<=> aElementOf0(sK89(xQ),xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_636])]) ).
fof(f2087,plain,
( slcrc0 = xQ
| ~ aSet0(xQ)
| aElementOf0(sK89(xQ),xS)
| ~ spl96_91
| ~ spl96_174 ),
inference(resolution,[],[f1986,f1517]) ).
fof(f8926,plain,
( ~ spl96_11
| ~ spl96_506
| spl96_597 ),
inference(avatar_split_clause,[],[f8086,f8078,f7063,f1126]) ).
fof(f7063,plain,
( spl96_506
<=> ! [X0] :
( sP47(X0,xK)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_506])]) ).
fof(f8078,plain,
( spl96_597
<=> sP47(xS,xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_597])]) ).
fof(f8086,plain,
( ~ aSet0(xS)
| ~ spl96_506
| spl96_597 ),
inference(resolution,[],[f8080,f7064]) ).
fof(f7064,plain,
( ! [X0] :
( sP47(X0,xK)
| ~ aSet0(X0) )
| ~ spl96_506 ),
inference(avatar_component_clause,[],[f7063]) ).
fof(f8080,plain,
( ~ sP47(xS,xK)
| spl96_597 ),
inference(avatar_component_clause,[],[f8078]) ).
fof(f8925,plain,
( ~ spl96_635
| spl96_593
| ~ spl96_596 ),
inference(avatar_split_clause,[],[f8920,f8071,f7986,f8922]) ).
fof(f8922,plain,
( spl96_635
<=> szNzAzT0 = xO ),
introduced(avatar_definition,[new_symbols(naming,[spl96_635])]) ).
fof(f8920,plain,
( szNzAzT0 != xO
| spl96_593
| ~ spl96_596 ),
inference(forward_demodulation,[],[f7987,f8073]) ).
fof(f7987,plain,
( slcrc0 != szNzAzT0
| spl96_593 ),
inference(avatar_component_clause,[],[f7986]) ).
fof(f8837,plain,
( spl96_634
| ~ spl96_593
| ~ spl96_596
| ~ spl96_633 ),
inference(avatar_split_clause,[],[f8832,f8827,f8071,f7986,f8834]) ).
fof(f8832,plain,
( aElementOf0(sK89(xQ),xO)
| ~ spl96_593
| ~ spl96_596
| ~ spl96_633 ),
inference(forward_demodulation,[],[f8831,f8073]) ).
fof(f8830,plain,
( spl96_633
| ~ spl96_13
| spl96_31
| ~ spl96_93
| ~ spl96_174 ),
inference(avatar_split_clause,[],[f2086,f1985,f1525,f1226,f1136,f8827]) ).
fof(f2086,plain,
( slcrc0 = xQ
| ~ aSet0(xQ)
| aElementOf0(sK89(xQ),szNzAzT0)
| ~ spl96_93
| ~ spl96_174 ),
inference(resolution,[],[f1986,f1526]) ).
fof(f8814,plain,
( spl96_632
| ~ spl96_9
| spl96_596
| ~ spl96_90
| ~ spl96_174 ),
inference(avatar_split_clause,[],[f2084,f1985,f1512,f8071,f1116,f8811]) ).
fof(f8811,plain,
( spl96_632
<=> aElementOf0(sK89(xO),xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_632])]) ).
fof(f2084,plain,
( slcrc0 = xO
| ~ aSet0(xO)
| aElementOf0(sK89(xO),xS)
| ~ spl96_90
| ~ spl96_174 ),
inference(resolution,[],[f1986,f1513]) ).
fof(f8807,plain,
( ~ spl96_7
| ~ spl96_8
| spl96_631
| ~ spl96_82
| ~ spl96_172 ),
inference(avatar_split_clause,[],[f2047,f1977,f1473,f8804,f1111,f1106]) ).
fof(f1111,plain,
( spl96_8
<=> isFinite0(xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_8])]) ).
fof(f8804,plain,
( spl96_631
<=> isFinite0(sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_631])]) ).
fof(f1473,plain,
( spl96_82
<=> aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_82])]) ).
fof(f1977,plain,
( spl96_172
<=> ! [X0,X1] :
( isFinite0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_172])]) ).
fof(f2047,plain,
( isFinite0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ~ isFinite0(xT)
| ~ aSet0(xT)
| ~ spl96_82
| ~ spl96_172 ),
inference(resolution,[],[f1978,f1475]) ).
fof(f1475,plain,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
| ~ spl96_82 ),
inference(avatar_component_clause,[],[f1473]) ).
fof(f1978,plain,
( ! [X0,X1] :
( ~ aSubsetOf0(X1,X0)
| isFinite0(X1)
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl96_172 ),
inference(avatar_component_clause,[],[f1977]) ).
fof(f8754,plain,
( spl96_630
| ~ spl96_281
| ~ spl96_340 ),
inference(avatar_split_clause,[],[f3693,f3521,f2937,f8752]) ).
fof(f8752,plain,
( spl96_630
<=> ! [X0,X1] :
( ~ sP33(X0,X1)
| ~ sP29(X0,sK71(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_630])]) ).
fof(f3521,plain,
( spl96_340
<=> ! [X0,X1] :
( aSubsetOf0(sK71(X0,X1),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP33(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_340])]) ).
fof(f3693,plain,
( ! [X0,X1] :
( ~ sP33(X0,X1)
| ~ sP29(X0,sK71(X0,X1)) )
| ~ spl96_281
| ~ spl96_340 ),
inference(resolution,[],[f3522,f2938]) ).
fof(f3522,plain,
( ! [X0,X1] :
( aSubsetOf0(sK71(X0,X1),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP33(X0,X1) )
| ~ spl96_340 ),
inference(avatar_component_clause,[],[f3521]) ).
fof(f8750,plain,
( spl96_629
| ~ spl96_281
| ~ spl96_334 ),
inference(avatar_split_clause,[],[f3650,f3497,f2937,f8748]) ).
fof(f8748,plain,
( spl96_629
<=> ! [X0] :
( ~ sP10(X0)
| ~ sP29(X0,sdtlpdtrp0(xN,szszuzczcdt0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_629])]) ).
fof(f3650,plain,
( ! [X0] :
( ~ sP10(X0)
| ~ sP29(X0,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
| ~ spl96_281
| ~ spl96_334 ),
inference(resolution,[],[f3498,f2938]) ).
fof(f8746,plain,
( spl96_628
| ~ spl96_130
| ~ spl96_174 ),
inference(avatar_split_clause,[],[f2093,f1985,f1722,f8744]) ).
fof(f8744,plain,
( spl96_628
<=> ! [X0] :
( slcrc0 = X0
| ~ aSet0(X0)
| aElement0(sK89(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_628])]) ).
fof(f2093,plain,
( ! [X0] :
( slcrc0 = X0
| ~ aSet0(X0)
| aElement0(sK89(X0)) )
| ~ spl96_130
| ~ spl96_174 ),
inference(duplicate_literal_removal,[],[f2065]) ).
fof(f2065,plain,
( ! [X0] :
( slcrc0 = X0
| ~ aSet0(X0)
| aElement0(sK89(X0))
| ~ aSet0(X0) )
| ~ spl96_130
| ~ spl96_174 ),
inference(resolution,[],[f1986,f1723]) ).
fof(f8660,plain,
( spl96_627
| ~ spl96_15
| spl96_593
| ~ spl96_78
| ~ spl96_174 ),
inference(avatar_split_clause,[],[f2069,f1985,f1447,f7986,f1146,f8657]) ).
fof(f8657,plain,
( spl96_627
<=> sP41(sK89(szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_627])]) ).
fof(f2069,plain,
( slcrc0 = szNzAzT0
| ~ aSet0(szNzAzT0)
| sP41(sK89(szNzAzT0))
| ~ spl96_78
| ~ spl96_174 ),
inference(resolution,[],[f1986,f1448]) ).
fof(f8544,plain,
( spl96_626
| ~ spl96_593
| ~ spl96_625 ),
inference(avatar_split_clause,[],[f8540,f8537,f7986,f8542]) ).
fof(f8542,plain,
( spl96_626
<=> ! [X0] :
( ~ aSubsetOf0(X0,slcrc0)
| ~ isFinite0(X0)
| sP41(sK87(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_626])]) ).
fof(f8537,plain,
( spl96_625
<=> ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sP41(sK87(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_625])]) ).
fof(f8540,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,slcrc0)
| ~ isFinite0(X0)
| sP41(sK87(X0)) )
| ~ spl96_593
| ~ spl96_625 ),
inference(forward_demodulation,[],[f8538,f7988]) ).
fof(f8538,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| ~ isFinite0(X0)
| sP41(sK87(X0)) )
| ~ spl96_625 ),
inference(avatar_component_clause,[],[f8537]) ).
fof(f8539,plain,
( spl96_625
| ~ spl96_78
| ~ spl96_173 ),
inference(avatar_split_clause,[],[f2058,f1981,f1447,f8537]) ).
fof(f2058,plain,
( ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sP41(sK87(X0)) )
| ~ spl96_78
| ~ spl96_173 ),
inference(resolution,[],[f1982,f1448]) ).
fof(f8535,plain,
( spl96_624
| ~ spl96_103
| ~ spl96_151 ),
inference(avatar_split_clause,[],[f1906,f1855,f1577,f8533]) ).
fof(f8533,plain,
( spl96_624
<=> ! [X0,X1] :
( sP47(X0,sK74(X1))
| ~ aSet0(X0)
| ~ sP34(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_624])]) ).
fof(f1906,plain,
( ! [X0,X1] :
( sP47(X0,sK74(X1))
| ~ aSet0(X0)
| ~ sP34(X1) )
| ~ spl96_103
| ~ spl96_151 ),
inference(resolution,[],[f1856,f1578]) ).
fof(f8531,plain,
( spl96_623
| ~ spl96_106
| ~ spl96_149 ),
inference(avatar_split_clause,[],[f1881,f1847,f1589,f8529]) ).
fof(f8529,plain,
( spl96_623
<=> ! [X0] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| isFinite0(slbdtrb0(sbrdtbr0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_623])]) ).
fof(f1881,plain,
( ! [X0] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| isFinite0(slbdtrb0(sbrdtbr0(X0))) )
| ~ spl96_106
| ~ spl96_149 ),
inference(resolution,[],[f1848,f1590]) ).
fof(f8527,plain,
( spl96_622
| ~ spl96_108
| ~ spl96_149 ),
inference(avatar_split_clause,[],[f1879,f1847,f1597,f8525]) ).
fof(f8525,plain,
( spl96_622
<=> ! [X0] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| sdtlseqdt0(sz00,sbrdtbr0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_622])]) ).
fof(f1879,plain,
( ! [X0] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| sdtlseqdt0(sz00,sbrdtbr0(X0)) )
| ~ spl96_108
| ~ spl96_149 ),
inference(resolution,[],[f1848,f1598]) ).
fof(f8522,plain,
( ~ spl96_15
| spl96_621
| ~ spl96_130
| ~ spl96_136 ),
inference(avatar_split_clause,[],[f1803,f1746,f1722,f8520,f1146]) ).
fof(f8520,plain,
( spl96_621
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElement0(szszuzczcdt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_621])]) ).
fof(f1803,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElement0(szszuzczcdt0(X0))
| ~ aSet0(szNzAzT0) )
| ~ spl96_130
| ~ spl96_136 ),
inference(resolution,[],[f1747,f1723]) ).
fof(f8517,plain,
( spl96_620
| ~ spl96_107
| ~ spl96_136 ),
inference(avatar_split_clause,[],[f1798,f1746,f1593,f8515]) ).
fof(f8515,plain,
( spl96_620
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_620])]) ).
fof(f1798,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X0)) )
| ~ spl96_107
| ~ spl96_136 ),
inference(resolution,[],[f1747,f1594]) ).
fof(f8292,plain,
( ~ spl96_494
| spl96_618
| spl96_619
| ~ spl96_30
| ~ spl96_245 ),
inference(avatar_split_clause,[],[f2598,f2588,f1221,f8289,f8285,f7006]) ).
fof(f7006,plain,
( spl96_494
<=> aElement0(sK56) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_494])]) ).
fof(f8289,plain,
( spl96_619
<=> aElementOf0(sK56,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_619])]) ).
fof(f2588,plain,
( spl96_245
<=> ! [X0] :
( xp = X0
| aElementOf0(X0,xP)
| ~ aElementOf0(X0,xQ)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_245])]) ).
fof(f2598,plain,
( aElementOf0(sK56,xP)
| xp = sK56
| ~ aElement0(sK56)
| ~ spl96_30
| ~ spl96_245 ),
inference(resolution,[],[f2589,f1223]) ).
fof(f2589,plain,
( ! [X0] :
( ~ aElementOf0(X0,xQ)
| aElementOf0(X0,xP)
| xp = X0
| ~ aElement0(X0) )
| ~ spl96_245 ),
inference(avatar_component_clause,[],[f2588]) ).
fof(f8243,plain,
( spl96_616
| spl96_617
| ~ spl96_26
| ~ spl96_236 ),
inference(avatar_split_clause,[],[f2566,f2506,f1201,f8240,f8236]) ).
fof(f8236,plain,
( spl96_616
<=> xk = szszuzczcdt0(sK84(xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_616])]) ).
fof(f8240,plain,
( spl96_617
<=> sz00 = xk ),
introduced(avatar_definition,[new_symbols(naming,[spl96_617])]) ).
fof(f2566,plain,
( sz00 = xk
| xk = szszuzczcdt0(sK84(xk))
| ~ spl96_26
| ~ spl96_236 ),
inference(resolution,[],[f2507,f1203]) ).
fof(f8195,plain,
( spl96_615
| spl96_21
| ~ spl96_23
| ~ spl96_236 ),
inference(avatar_split_clause,[],[f2565,f2506,f1186,f1176,f8192]) ).
fof(f8192,plain,
( spl96_615
<=> xK = szszuzczcdt0(sK84(xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_615])]) ).
fof(f1176,plain,
( spl96_21
<=> sz00 = xK ),
introduced(avatar_definition,[new_symbols(naming,[spl96_21])]) ).
fof(f2565,plain,
( sz00 = xK
| xK = szszuzczcdt0(sK84(xK))
| ~ spl96_23
| ~ spl96_236 ),
inference(resolution,[],[f2507,f1188]) ).
fof(f8190,plain,
( spl96_614
| ~ spl96_165
| ~ spl96_217 ),
inference(avatar_split_clause,[],[f2431,f2374,f1948,f8188]) ).
fof(f8188,plain,
( spl96_614
<=> ! [X0] :
( aElementOf0(sdtlpdtrp0(xe,sK74(X0)),xO)
| ~ sP34(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_614])]) ).
fof(f1948,plain,
( spl96_165
<=> ! [X0] :
( aElementOf0(sK74(X0),sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ sP34(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_165])]) ).
fof(f2431,plain,
( ! [X0] :
( aElementOf0(sdtlpdtrp0(xe,sK74(X0)),xO)
| ~ sP34(X0) )
| ~ spl96_165
| ~ spl96_217 ),
inference(resolution,[],[f2375,f1949]) ).
fof(f1949,plain,
( ! [X0] :
( aElementOf0(sK74(X0),sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ sP34(X0) )
| ~ spl96_165 ),
inference(avatar_component_clause,[],[f1948]) ).
fof(f8185,plain,
( spl96_613
| ~ spl96_12
| ~ spl96_24
| ~ spl96_216 ),
inference(avatar_split_clause,[],[f2426,f2370,f1191,f1131,f8183]) ).
fof(f8183,plain,
( spl96_613
<=> ! [X0] :
( sP24(xS,X0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_613])]) ).
fof(f1131,plain,
( spl96_12
<=> isCountable0(xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_12])]) ).
fof(f2370,plain,
( spl96_216
<=> ! [X0,X1] :
( sP24(X1,X0)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_216])]) ).
fof(f2426,plain,
( ! [X0] :
( ~ isCountable0(xS)
| sP24(xS,X0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_24
| ~ spl96_216 ),
inference(resolution,[],[f2371,f1193]) ).
fof(f2371,plain,
( ! [X0,X1] :
( ~ aSubsetOf0(X1,szNzAzT0)
| ~ isCountable0(X1)
| sP24(X1,X0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_216 ),
inference(avatar_component_clause,[],[f2370]) ).
fof(f8181,plain,
( spl96_612
| ~ spl96_26
| ~ spl96_215 ),
inference(avatar_split_clause,[],[f2418,f2366,f1201,f8179]) ).
fof(f8179,plain,
( spl96_612
<=> ! [X0] :
( sP15(xk,X0)
| ~ aSet0(X0)
| sP16(xk,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_612])]) ).
fof(f2418,plain,
( ! [X0] :
( sP15(xk,X0)
| ~ aSet0(X0)
| sP16(xk,X0) )
| ~ spl96_26
| ~ spl96_215 ),
inference(resolution,[],[f2367,f1203]) ).
fof(f8177,plain,
( spl96_611
| ~ spl96_23
| ~ spl96_215 ),
inference(avatar_split_clause,[],[f2417,f2366,f1186,f8175]) ).
fof(f8175,plain,
( spl96_611
<=> ! [X0] :
( sP15(xK,X0)
| ~ aSet0(X0)
| sP16(xK,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_611])]) ).
fof(f2417,plain,
( ! [X0] :
( sP15(xK,X0)
| ~ aSet0(X0)
| sP16(xK,X0) )
| ~ spl96_23
| ~ spl96_215 ),
inference(resolution,[],[f2367,f1188]) ).
fof(f8173,plain,
( spl96_610
| ~ spl96_34
| ~ spl96_215 ),
inference(avatar_split_clause,[],[f2413,f2366,f1241,f8171]) ).
fof(f8171,plain,
( spl96_610
<=> ! [X0] :
( sP15(sz00,X0)
| ~ aSet0(X0)
| sP16(sz00,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_610])]) ).
fof(f2413,plain,
( ! [X0] :
( sP15(sz00,X0)
| ~ aSet0(X0)
| sP16(sz00,X0) )
| ~ spl96_34
| ~ spl96_215 ),
inference(resolution,[],[f2367,f1243]) ).
fof(f8167,plain,
( spl96_609
| ~ spl96_183
| ~ spl96_214 ),
inference(avatar_split_clause,[],[f2412,f2362,f2102,f8165]) ).
fof(f8165,plain,
( spl96_609
<=> ! [X0] :
( aElementOf0(sdtlpdtrp0(xe,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_609])]) ).
fof(f2412,plain,
( ! [X0] :
( aElementOf0(sdtlpdtrp0(xe,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_183
| ~ spl96_214 ),
inference(duplicate_literal_removal,[],[f2408]) ).
fof(f2408,plain,
( ! [X0] :
( aElementOf0(sdtlpdtrp0(xe,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_183
| ~ spl96_214 ),
inference(resolution,[],[f2363,f2103]) ).
fof(f8163,plain,
( spl96_608
| ~ spl96_26
| ~ spl96_211 ),
inference(avatar_split_clause,[],[f2391,f2350,f1201,f8160]) ).
fof(f8160,plain,
( spl96_608
<=> szmzizndt0(sdtlpdtrp0(xN,xk)) = sdtlpdtrp0(xe,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_608])]) ).
fof(f2391,plain,
( szmzizndt0(sdtlpdtrp0(xN,xk)) = sdtlpdtrp0(xe,xk)
| ~ spl96_26
| ~ spl96_211 ),
inference(resolution,[],[f2351,f1203]) ).
fof(f8158,plain,
( spl96_607
| ~ spl96_23
| ~ spl96_211 ),
inference(avatar_split_clause,[],[f2390,f2350,f1186,f8155]) ).
fof(f8155,plain,
( spl96_607
<=> szmzizndt0(sdtlpdtrp0(xN,xK)) = sdtlpdtrp0(xe,xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_607])]) ).
fof(f2390,plain,
( szmzizndt0(sdtlpdtrp0(xN,xK)) = sdtlpdtrp0(xe,xK)
| ~ spl96_23
| ~ spl96_211 ),
inference(resolution,[],[f2351,f1188]) ).
fof(f8148,plain,
( ~ spl96_13
| ~ spl96_493
| spl96_606
| ~ spl96_85
| ~ spl96_208 ),
inference(avatar_split_clause,[],[f2348,f2221,f1491,f8145,f7001,f1136]) ).
fof(f8145,plain,
( spl96_606
<=> sP45(xp,xQ,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_606])]) ).
fof(f2348,plain,
( sP45(xp,xQ,xP)
| ~ aElement0(xp)
| ~ aSet0(xQ)
| ~ spl96_85
| ~ spl96_208 ),
inference(superposition,[],[f2222,f1493]) ).
fof(f8143,plain,
( ~ spl96_493
| ~ spl96_13
| ~ spl96_604
| spl96_605
| ~ spl96_85
| ~ spl96_198 ),
inference(avatar_split_clause,[],[f2270,f2179,f1491,f8140,f8136,f1136,f7001]) ).
fof(f8136,plain,
( spl96_604
<=> isCountable0(xQ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_604])]) ).
fof(f8140,plain,
( spl96_605
<=> isCountable0(xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_605])]) ).
fof(f2179,plain,
( spl96_198
<=> ! [X0,X1] :
( isCountable0(sdtmndt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_198])]) ).
fof(f2270,plain,
( isCountable0(xP)
| ~ isCountable0(xQ)
| ~ aSet0(xQ)
| ~ aElement0(xp)
| ~ spl96_85
| ~ spl96_198 ),
inference(superposition,[],[f2180,f1493]) ).
fof(f2180,plain,
( ! [X0,X1] :
( isCountable0(sdtmndt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) )
| ~ spl96_198 ),
inference(avatar_component_clause,[],[f2179]) ).
fof(f8134,plain,
( spl96_603
| ~ spl96_58
| ~ spl96_192 ),
inference(avatar_split_clause,[],[f2230,f2154,f1354,f8132]) ).
fof(f8132,plain,
( spl96_603
<=> ! [X0] :
( aSet0(sdtpldt0(X0,szmzizndt0(xS)))
| ~ sP16(sz00,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_603])]) ).
fof(f2154,plain,
( spl96_192
<=> ! [X0,X1] :
( aSet0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP16(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_192])]) ).
fof(f2230,plain,
( ! [X0] :
( aSet0(sdtpldt0(X0,szmzizndt0(xS)))
| ~ sP16(sz00,X0) )
| ~ spl96_58
| ~ spl96_192 ),
inference(superposition,[],[f2155,f1356]) ).
fof(f2155,plain,
( ! [X0,X1] :
( aSet0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP16(X0,X1) )
| ~ spl96_192 ),
inference(avatar_component_clause,[],[f2154]) ).
fof(f8129,plain,
( spl96_602
| ~ spl96_143
| ~ spl96_187 ),
inference(avatar_split_clause,[],[f2139,f2118,f1820,f8127]) ).
fof(f8127,plain,
( spl96_602
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(sdtlpdtrp0(xd,X0),xT) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_602])]) ).
fof(f1820,plain,
( spl96_143
<=> ! [X0] :
( ~ aElementOf0(X0,sdtlcdtrc0(xd,szNzAzT0))
| aElementOf0(X0,xT) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_143])]) ).
fof(f2139,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(sdtlpdtrp0(xd,X0),xT) )
| ~ spl96_143
| ~ spl96_187 ),
inference(resolution,[],[f2119,f1821]) ).
fof(f1821,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtlcdtrc0(xd,szNzAzT0))
| aElementOf0(X0,xT) )
| ~ spl96_143 ),
inference(avatar_component_clause,[],[f1820]) ).
fof(f8125,plain,
( spl96_601
| ~ spl96_185
| ~ spl96_186 ),
inference(avatar_split_clause,[],[f2133,f2114,f2110,f8123]) ).
fof(f8123,plain,
( spl96_601
<=> ! [X0] :
( sP34(sdtlpdtrp0(xe,sK54(X0)))
| ~ aElementOf0(X0,xO) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_601])]) ).
fof(f2114,plain,
( spl96_186
<=> ! [X1] :
( sP34(sdtlpdtrp0(xe,X1))
| ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_186])]) ).
fof(f2133,plain,
( ! [X0] :
( sP34(sdtlpdtrp0(xe,sK54(X0)))
| ~ aElementOf0(X0,xO) )
| ~ spl96_185
| ~ spl96_186 ),
inference(resolution,[],[f2115,f2111]) ).
fof(f2115,plain,
( ! [X1] :
( ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| sP34(sdtlpdtrp0(xe,X1)) )
| ~ spl96_186 ),
inference(avatar_component_clause,[],[f2114]) ).
fof(f8120,plain,
( ~ spl96_34
| spl96_600
| ~ spl96_58
| ~ spl96_183 ),
inference(avatar_split_clause,[],[f2128,f2102,f1354,f8117,f1241]) ).
fof(f8117,plain,
( spl96_600
<=> aElementOf0(sdtlpdtrp0(xe,sz00),xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_600])]) ).
fof(f2128,plain,
( aElementOf0(sdtlpdtrp0(xe,sz00),xS)
| ~ aElementOf0(sz00,szNzAzT0)
| ~ spl96_58
| ~ spl96_183 ),
inference(superposition,[],[f2103,f1356]) ).
fof(f8091,plain,
( ~ spl96_382
| spl96_599
| ~ spl96_64
| ~ spl96_183 ),
inference(avatar_split_clause,[],[f2127,f2102,f1381,f8088,f4407]) ).
fof(f8088,plain,
( spl96_599
<=> aElementOf0(xp,sdtlpdtrp0(xN,sK76)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_599])]) ).
fof(f2127,plain,
( aElementOf0(xp,sdtlpdtrp0(xN,sK76))
| ~ aElementOf0(sK76,szNzAzT0)
| ~ spl96_64
| ~ spl96_183 ),
inference(superposition,[],[f2103,f1383]) ).
fof(f8085,plain,
( ~ spl96_597
| spl96_598
| ~ spl96_81
| ~ spl96_181 ),
inference(avatar_split_clause,[],[f2100,f2013,f1468,f8082,f8078]) ).
fof(f8082,plain,
( spl96_598
<=> sP46(xK,xS,szDzozmdt0(xc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_598])]) ).
fof(f1468,plain,
( spl96_81
<=> szDzozmdt0(xc) = slbdtsldtrb0(xS,xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_81])]) ).
fof(f2013,plain,
( spl96_181
<=> ! [X0,X1] :
( sP46(X1,X0,slbdtsldtrb0(X0,X1))
| ~ sP47(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_181])]) ).
fof(f2100,plain,
( sP46(xK,xS,szDzozmdt0(xc))
| ~ sP47(xS,xK)
| ~ spl96_81
| ~ spl96_181 ),
inference(superposition,[],[f2014,f1470]) ).
fof(f1470,plain,
( szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
| ~ spl96_81 ),
inference(avatar_component_clause,[],[f1468]) ).
fof(f2014,plain,
( ! [X0,X1] :
( sP46(X1,X0,slbdtsldtrb0(X0,X1))
| ~ sP47(X0,X1) )
| ~ spl96_181 ),
inference(avatar_component_clause,[],[f2013]) ).
fof(f8074,plain,
( spl96_595
| ~ spl96_9
| spl96_596
| ~ spl96_63
| ~ spl96_174 ),
inference(avatar_split_clause,[],[f2085,f1985,f1377,f8071,f1116,f8067]) ).
fof(f8067,plain,
( spl96_595
<=> sP34(sK89(xO)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_595])]) ).
fof(f2085,plain,
( slcrc0 = xO
| ~ aSet0(xO)
| sP34(sK89(xO))
| ~ spl96_63
| ~ spl96_174 ),
inference(resolution,[],[f1986,f1378]) ).
fof(f7998,plain,
( spl96_594
| ~ spl96_15
| spl96_593
| ~ spl96_62
| ~ spl96_174 ),
inference(avatar_split_clause,[],[f2068,f1985,f1373,f7986,f1146,f7995]) ).
fof(f7995,plain,
( spl96_594
<=> sP11(sK89(szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_594])]) ).
fof(f2068,plain,
( slcrc0 = szNzAzT0
| ~ aSet0(szNzAzT0)
| sP11(sK89(szNzAzT0))
| ~ spl96_62
| ~ spl96_174 ),
inference(resolution,[],[f1986,f1374]) ).
fof(f7989,plain,
( spl96_592
| ~ spl96_15
| spl96_593
| ~ spl96_57
| ~ spl96_174 ),
inference(avatar_split_clause,[],[f2067,f1985,f1350,f7986,f1146,f7982]) ).
fof(f7982,plain,
( spl96_592
<=> sP8(sK89(szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_592])]) ).
fof(f2067,plain,
( slcrc0 = szNzAzT0
| ~ aSet0(szNzAzT0)
| sP8(sK89(szNzAzT0))
| ~ spl96_57
| ~ spl96_174 ),
inference(resolution,[],[f1986,f1351]) ).
fof(f7980,plain,
( spl96_591
| ~ spl96_62
| ~ spl96_173 ),
inference(avatar_split_clause,[],[f2057,f1981,f1373,f7978]) ).
fof(f7978,plain,
( spl96_591
<=> ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sP11(sK87(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_591])]) ).
fof(f2057,plain,
( ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sP11(sK87(X0)) )
| ~ spl96_62
| ~ spl96_173 ),
inference(resolution,[],[f1982,f1374]) ).
fof(f7976,plain,
( spl96_590
| ~ spl96_57
| ~ spl96_173 ),
inference(avatar_split_clause,[],[f2056,f1981,f1350,f7974]) ).
fof(f7974,plain,
( spl96_590
<=> ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sP8(sK87(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_590])]) ).
fof(f2056,plain,
( ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sP8(sK87(X0)) )
| ~ spl96_57
| ~ spl96_173 ),
inference(resolution,[],[f1982,f1351]) ).
fof(f7972,plain,
( ~ spl96_7
| ~ spl96_8
| spl96_589
| ~ spl96_65
| ~ spl96_172 ),
inference(avatar_split_clause,[],[f2046,f1977,f1386,f7969,f1111,f1106]) ).
fof(f7969,plain,
( spl96_589
<=> isFinite0(sdtlcdtrc0(xd,szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_589])]) ).
fof(f1386,plain,
( spl96_65
<=> aSubsetOf0(sdtlcdtrc0(xd,szNzAzT0),xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_65])]) ).
fof(f2046,plain,
( isFinite0(sdtlcdtrc0(xd,szNzAzT0))
| ~ isFinite0(xT)
| ~ aSet0(xT)
| ~ spl96_65
| ~ spl96_172 ),
inference(resolution,[],[f1978,f1388]) ).
fof(f1388,plain,
( aSubsetOf0(sdtlcdtrc0(xd,szNzAzT0),xT)
| ~ spl96_65 ),
inference(avatar_component_clause,[],[f1386]) ).
fof(f7953,plain,
( ~ spl96_4
| spl96_588
| ~ spl96_38
| ~ spl96_168 ),
inference(avatar_split_clause,[],[f2038,f1961,f1260,f7951,f1091]) ).
fof(f7951,plain,
( spl96_588
<=> ! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| sP39(X0,xd) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_588])]) ).
fof(f2038,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| sP39(X0,xd)
| ~ aFunction0(xd) )
| ~ spl96_38
| ~ spl96_168 ),
inference(superposition,[],[f1962,f1262]) ).
fof(f7940,plain,
( ~ spl96_1
| spl96_587
| ~ spl96_36
| ~ spl96_168 ),
inference(avatar_split_clause,[],[f2037,f1961,f1250,f7938,f1076]) ).
fof(f7938,plain,
( spl96_587
<=> ! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| sP39(X0,xe) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_587])]) ).
fof(f2037,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| sP39(X0,xe)
| ~ aFunction0(xe) )
| ~ spl96_36
| ~ spl96_168 ),
inference(superposition,[],[f1962,f1252]) ).
fof(f7927,plain,
( ~ spl96_3
| spl96_586
| ~ spl96_37
| ~ spl96_168 ),
inference(avatar_split_clause,[],[f2036,f1961,f1255,f7925,f1086]) ).
fof(f7925,plain,
( spl96_586
<=> ! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| sP39(X0,xC) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_586])]) ).
fof(f2036,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| sP39(X0,xC)
| ~ aFunction0(xC) )
| ~ spl96_37
| ~ spl96_168 ),
inference(superposition,[],[f1962,f1257]) ).
fof(f7914,plain,
( ~ spl96_5
| spl96_585
| ~ spl96_39
| ~ spl96_168 ),
inference(avatar_split_clause,[],[f2035,f1961,f1265,f7912,f1096]) ).
fof(f7912,plain,
( spl96_585
<=> ! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| sP39(X0,xN) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_585])]) ).
fof(f2035,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| sP39(X0,xN)
| ~ aFunction0(xN) )
| ~ spl96_39
| ~ spl96_168 ),
inference(superposition,[],[f1962,f1267]) ).
fof(f7901,plain,
( ~ spl96_4
| spl96_584
| ~ spl96_38
| ~ spl96_166 ),
inference(avatar_split_clause,[],[f2033,f1952,f1260,f7899,f1091]) ).
fof(f7899,plain,
( spl96_584
<=> ! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| sP37(X0,xd) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_584])]) ).
fof(f2033,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| sP37(X0,xd)
| ~ aFunction0(xd) )
| ~ spl96_38
| ~ spl96_166 ),
inference(superposition,[],[f1953,f1262]) ).
fof(f7897,plain,
( spl96_583
| ~ spl96_382
| ~ spl96_499 ),
inference(avatar_split_clause,[],[f7092,f7029,f4407,f7894]) ).
fof(f7894,plain,
( spl96_583
<=> sP31(sK76) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_583])]) ).
fof(f7029,plain,
( spl96_499
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sP31(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_499])]) ).
fof(f7092,plain,
( sP31(sK76)
| ~ spl96_382
| ~ spl96_499 ),
inference(resolution,[],[f7030,f4409]) ).
fof(f7030,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sP31(X0) )
| ~ spl96_499 ),
inference(avatar_component_clause,[],[f7029]) ).
fof(f7883,plain,
( ~ spl96_1
| spl96_582
| ~ spl96_36
| ~ spl96_166 ),
inference(avatar_split_clause,[],[f2032,f1952,f1250,f7881,f1076]) ).
fof(f7881,plain,
( spl96_582
<=> ! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| sP37(X0,xe) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_582])]) ).
fof(f2032,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| sP37(X0,xe)
| ~ aFunction0(xe) )
| ~ spl96_36
| ~ spl96_166 ),
inference(superposition,[],[f1953,f1252]) ).
fof(f7870,plain,
( ~ spl96_3
| spl96_581
| ~ spl96_37
| ~ spl96_166 ),
inference(avatar_split_clause,[],[f2031,f1952,f1255,f7868,f1086]) ).
fof(f7868,plain,
( spl96_581
<=> ! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| sP37(X0,xC) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_581])]) ).
fof(f2031,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| sP37(X0,xC)
| ~ aFunction0(xC) )
| ~ spl96_37
| ~ spl96_166 ),
inference(superposition,[],[f1953,f1257]) ).
fof(f7857,plain,
( ~ spl96_5
| spl96_580
| ~ spl96_39
| ~ spl96_166 ),
inference(avatar_split_clause,[],[f2030,f1952,f1265,f7855,f1096]) ).
fof(f7855,plain,
( spl96_580
<=> ! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| sP37(X0,xN) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_580])]) ).
fof(f2030,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| sP37(X0,xN)
| ~ aFunction0(xN) )
| ~ spl96_39
| ~ spl96_166 ),
inference(superposition,[],[f1953,f1267]) ).
fof(f7851,plain,
( ~ spl96_578
| spl96_579
| ~ spl96_38
| ~ spl96_160 ),
inference(avatar_split_clause,[],[f2021,f1928,f1260,f7848,f7844]) ).
fof(f7844,plain,
( spl96_578
<=> sP20(xd) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_578])]) ).
fof(f7848,plain,
( spl96_579
<=> aElementOf0(sK62(xd),sdtlcdtrc0(xd,szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_579])]) ).
fof(f2021,plain,
( aElementOf0(sK62(xd),sdtlcdtrc0(xd,szNzAzT0))
| ~ sP20(xd)
| ~ spl96_38
| ~ spl96_160 ),
inference(superposition,[],[f1929,f1262]) ).
fof(f7840,plain,
( spl96_577
| ~ spl96_344
| ~ spl96_499 ),
inference(avatar_split_clause,[],[f7089,f7029,f3537,f7837]) ).
fof(f7837,plain,
( spl96_577
<=> sP31(sK56) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_577])]) ).
fof(f7089,plain,
( sP31(sK56)
| ~ spl96_344
| ~ spl96_499 ),
inference(resolution,[],[f7030,f3539]) ).
fof(f7835,plain,
( ~ spl96_575
| spl96_576
| ~ spl96_36
| ~ spl96_160 ),
inference(avatar_split_clause,[],[f2020,f1928,f1250,f7832,f7828]) ).
fof(f7828,plain,
( spl96_575
<=> sP20(xe) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_575])]) ).
fof(f7832,plain,
( spl96_576
<=> aElementOf0(sK62(xe),sdtlcdtrc0(xe,szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_576])]) ).
fof(f2020,plain,
( aElementOf0(sK62(xe),sdtlcdtrc0(xe,szNzAzT0))
| ~ sP20(xe)
| ~ spl96_36
| ~ spl96_160 ),
inference(superposition,[],[f1929,f1252]) ).
fof(f7824,plain,
( ~ spl96_573
| spl96_574
| ~ spl96_37
| ~ spl96_160 ),
inference(avatar_split_clause,[],[f2019,f1928,f1255,f7821,f7817]) ).
fof(f7817,plain,
( spl96_573
<=> sP20(xC) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_573])]) ).
fof(f7821,plain,
( spl96_574
<=> aElementOf0(sK62(xC),sdtlcdtrc0(xC,szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_574])]) ).
fof(f2019,plain,
( aElementOf0(sK62(xC),sdtlcdtrc0(xC,szNzAzT0))
| ~ sP20(xC)
| ~ spl96_37
| ~ spl96_160 ),
inference(superposition,[],[f1929,f1257]) ).
fof(f7813,plain,
( ~ spl96_571
| spl96_572
| ~ spl96_39
| ~ spl96_160 ),
inference(avatar_split_clause,[],[f2018,f1928,f1265,f7810,f7806]) ).
fof(f7806,plain,
( spl96_571
<=> sP20(xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_571])]) ).
fof(f7810,plain,
( spl96_572
<=> aElementOf0(sK62(xN),sdtlcdtrc0(xN,szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_572])]) ).
fof(f2018,plain,
( aElementOf0(sK62(xN),sdtlcdtrc0(xN,szNzAzT0))
| ~ sP20(xN)
| ~ spl96_39
| ~ spl96_160 ),
inference(superposition,[],[f1929,f1267]) ).
fof(f7767,plain,
( ~ spl96_7
| spl96_570
| ~ spl96_121
| ~ spl96_130 ),
inference(avatar_split_clause,[],[f1778,f1722,f1680,f7765,f1106]) ).
fof(f7765,plain,
( spl96_570
<=> ! [X0] :
( aElement0(sK73(X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_570])]) ).
fof(f1680,plain,
( spl96_121
<=> ! [X0] :
( aElementOf0(sK73(X0),xT)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_121])]) ).
fof(f1778,plain,
( ! [X0] :
( aElement0(sK73(X0))
| ~ aSet0(xT)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_121
| ~ spl96_130 ),
inference(resolution,[],[f1723,f1681]) ).
fof(f1681,plain,
( ! [X0] :
( aElementOf0(sK73(X0),xT)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_121 ),
inference(avatar_component_clause,[],[f1680]) ).
fof(f7763,plain,
( spl96_569
| ~ spl96_333
| ~ spl96_499 ),
inference(avatar_split_clause,[],[f7088,f7029,f3492,f7760]) ).
fof(f7760,plain,
( spl96_569
<=> sP31(xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_569])]) ).
fof(f7088,plain,
( sP31(xp)
| ~ spl96_333
| ~ spl96_499 ),
inference(resolution,[],[f7030,f3494]) ).
fof(f7721,plain,
( ~ spl96_7
| spl96_568
| ~ spl96_119
| ~ spl96_130 ),
inference(avatar_split_clause,[],[f1777,f1722,f1672,f7719,f1106]) ).
fof(f7719,plain,
( spl96_568
<=> ! [X0] :
( aElement0(sK70(X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_568])]) ).
fof(f1672,plain,
( spl96_119
<=> ! [X0] :
( aElementOf0(sK70(X0),xT)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_119])]) ).
fof(f1777,plain,
( ! [X0] :
( aElement0(sK70(X0))
| ~ aSet0(xT)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_119
| ~ spl96_130 ),
inference(resolution,[],[f1723,f1673]) ).
fof(f1673,plain,
( ! [X0] :
( aElementOf0(sK70(X0),xT)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_119 ),
inference(avatar_component_clause,[],[f1672]) ).
fof(f7695,plain,
( spl96_567
| ~ spl96_26
| ~ spl96_499 ),
inference(avatar_split_clause,[],[f7087,f7029,f1201,f7692]) ).
fof(f7692,plain,
( spl96_567
<=> sP31(xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_567])]) ).
fof(f7087,plain,
( sP31(xk)
| ~ spl96_26
| ~ spl96_499 ),
inference(resolution,[],[f7030,f1203]) ).
fof(f7686,plain,
( spl96_566
| ~ spl96_457 ),
inference(avatar_split_clause,[],[f6384,f6149,f7684]) ).
fof(f7684,plain,
( spl96_566
<=> ! [X0] :
( sP36(X0,X0,szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_566])]) ).
fof(f6149,plain,
( spl96_457
<=> ! [X0,X1] :
( sP36(X0,X1,szDzozmdt0(X0))
| sdtlpdtrp0(X0,sK77(X0,X1,szDzozmdt0(X0))) != sdtlpdtrp0(X1,sK77(X0,X1,szDzozmdt0(X0)))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_457])]) ).
fof(f6384,plain,
( ! [X0] :
( sP36(X0,X0,szDzozmdt0(X0))
| ~ aFunction0(X0) )
| ~ spl96_457 ),
inference(equality_resolution,[],[f6150]) ).
fof(f6150,plain,
( ! [X0,X1] :
( sdtlpdtrp0(X0,sK77(X0,X1,szDzozmdt0(X0))) != sdtlpdtrp0(X1,sK77(X0,X1,szDzozmdt0(X0)))
| sP36(X0,X1,szDzozmdt0(X0))
| ~ aFunction0(X0) )
| ~ spl96_457 ),
inference(avatar_component_clause,[],[f6149]) ).
fof(f7664,plain,
( ~ spl96_17
| spl96_565
| ~ spl96_35
| ~ spl96_265 ),
inference(avatar_split_clause,[],[f2795,f2706,f1246,f7662,f1156]) ).
fof(f1156,plain,
( spl96_17
<=> aSet0(slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_17])]) ).
fof(f7662,plain,
( spl96_565
<=> ! [X0] :
( aSubsetOf0(slcrc0,X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_565])]) ).
fof(f2795,plain,
( ! [X0] :
( aSubsetOf0(slcrc0,X0)
| ~ aSet0(slcrc0)
| ~ aSet0(X0) )
| ~ spl96_35
| ~ spl96_265 ),
inference(resolution,[],[f2707,f1247]) ).
fof(f7660,plain,
( spl96_564
| ~ spl96_111
| ~ spl96_181 ),
inference(avatar_split_clause,[],[f2099,f2013,f1609,f7658]) ).
fof(f7658,plain,
( spl96_564
<=> ! [X0,X1] :
( ~ sP47(X0,X1)
| aSet0(slbdtsldtrb0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_564])]) ).
fof(f1609,plain,
( spl96_111
<=> ! [X2,X0,X1] :
( aSet0(X2)
| ~ sP46(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_111])]) ).
fof(f2099,plain,
( ! [X0,X1] :
( ~ sP47(X0,X1)
| aSet0(slbdtsldtrb0(X0,X1)) )
| ~ spl96_111
| ~ spl96_181 ),
inference(resolution,[],[f2014,f1610]) ).
fof(f1610,plain,
( ! [X2,X0,X1] :
( ~ sP46(X0,X1,X2)
| aSet0(X2) )
| ~ spl96_111 ),
inference(avatar_component_clause,[],[f1609]) ).
fof(f7656,plain,
( spl96_563
| ~ spl96_110
| ~ spl96_179 ),
inference(avatar_split_clause,[],[f2098,f2005,f1605,f7654]) ).
fof(f7654,plain,
( spl96_563
<=> ! [X0,X1] :
( ~ sP43(X0,X1)
| aSet0(sdtlbdtrb0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_563])]) ).
fof(f1605,plain,
( spl96_110
<=> ! [X2,X0,X1] :
( aSet0(X2)
| ~ sP42(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_110])]) ).
fof(f2005,plain,
( spl96_179
<=> ! [X0,X1] :
( sP42(X1,X0,sdtlbdtrb0(X0,X1))
| ~ sP43(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_179])]) ).
fof(f2098,plain,
( ! [X0,X1] :
( ~ sP43(X0,X1)
| aSet0(sdtlbdtrb0(X0,X1)) )
| ~ spl96_110
| ~ spl96_179 ),
inference(resolution,[],[f2006,f1606]) ).
fof(f1606,plain,
( ! [X2,X0,X1] :
( ~ sP42(X0,X1,X2)
| aSet0(X2) )
| ~ spl96_110 ),
inference(avatar_component_clause,[],[f1605]) ).
fof(f2006,plain,
( ! [X0,X1] :
( sP42(X1,X0,sdtlbdtrb0(X0,X1))
| ~ sP43(X0,X1) )
| ~ spl96_179 ),
inference(avatar_component_clause,[],[f2005]) ).
fof(f7652,plain,
( spl96_562
| ~ spl96_105
| ~ spl96_178 ),
inference(avatar_split_clause,[],[f2096,f2001,f1585,f7650]) ).
fof(f7650,plain,
( spl96_562
<=> ! [X0,X1] :
( ~ sP39(X0,X1)
| aSet0(sdtlcdtrc0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_562])]) ).
fof(f1585,plain,
( spl96_105
<=> ! [X2,X0,X1] :
( aSet0(X2)
| ~ sP38(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_105])]) ).
fof(f2001,plain,
( spl96_178
<=> ! [X0,X1] :
( sP38(X1,X0,sdtlcdtrc0(X1,X0))
| ~ sP39(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_178])]) ).
fof(f2096,plain,
( ! [X0,X1] :
( ~ sP39(X0,X1)
| aSet0(sdtlcdtrc0(X1,X0)) )
| ~ spl96_105
| ~ spl96_178 ),
inference(resolution,[],[f2002,f1586]) ).
fof(f1586,plain,
( ! [X2,X0,X1] :
( ~ sP38(X0,X1,X2)
| aSet0(X2) )
| ~ spl96_105 ),
inference(avatar_component_clause,[],[f1585]) ).
fof(f2002,plain,
( ! [X0,X1] :
( sP38(X1,X0,sdtlcdtrc0(X1,X0))
| ~ sP39(X0,X1) )
| ~ spl96_178 ),
inference(avatar_component_clause,[],[f2001]) ).
fof(f7648,plain,
( spl96_561
| ~ spl96_104
| ~ spl96_177 ),
inference(avatar_split_clause,[],[f2095,f1997,f1581,f7646]) ).
fof(f7646,plain,
( spl96_561
<=> ! [X0,X1] :
( ~ sP37(X0,X1)
| aFunction0(sdtexdt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_561])]) ).
fof(f1581,plain,
( spl96_104
<=> ! [X2,X0,X1] :
( aFunction0(X0)
| ~ sP36(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_104])]) ).
fof(f2095,plain,
( ! [X0,X1] :
( ~ sP37(X0,X1)
| aFunction0(sdtexdt0(X1,X0)) )
| ~ spl96_104
| ~ spl96_177 ),
inference(resolution,[],[f1998,f1582]) ).
fof(f1582,plain,
( ! [X2,X0,X1] :
( ~ sP36(X0,X1,X2)
| aFunction0(X0) )
| ~ spl96_104 ),
inference(avatar_component_clause,[],[f1581]) ).
fof(f7644,plain,
( spl96_560
| ~ spl96_78
| ~ spl96_149 ),
inference(avatar_split_clause,[],[f1882,f1847,f1447,f7642]) ).
fof(f7642,plain,
( spl96_560
<=> ! [X0] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| sP41(sbrdtbr0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_560])]) ).
fof(f1882,plain,
( ! [X0] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| sP41(sbrdtbr0(X0)) )
| ~ spl96_78
| ~ spl96_149 ),
inference(resolution,[],[f1848,f1448]) ).
fof(f7640,plain,
( spl96_559
| ~ spl96_106
| ~ spl96_136 ),
inference(avatar_split_clause,[],[f1799,f1746,f1589,f7638]) ).
fof(f7638,plain,
( spl96_559
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| isFinite0(slbdtrb0(szszuzczcdt0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_559])]) ).
fof(f1799,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| isFinite0(slbdtrb0(szszuzczcdt0(X0))) )
| ~ spl96_106
| ~ spl96_136 ),
inference(resolution,[],[f1747,f1590]) ).
fof(f7636,plain,
( spl96_558
| ~ spl96_23
| ~ spl96_499 ),
inference(avatar_split_clause,[],[f7086,f7029,f1186,f7633]) ).
fof(f7633,plain,
( spl96_558
<=> sP31(xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_558])]) ).
fof(f7086,plain,
( sP31(xK)
| ~ spl96_23
| ~ spl96_499 ),
inference(resolution,[],[f7030,f1188]) ).
fof(f7631,plain,
( spl96_557
| ~ spl96_108
| ~ spl96_136 ),
inference(avatar_split_clause,[],[f1797,f1746,f1597,f7629]) ).
fof(f7629,plain,
( spl96_557
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(sz00,szszuzczcdt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_557])]) ).
fof(f1797,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(sz00,szszuzczcdt0(X0)) )
| ~ spl96_108
| ~ spl96_136 ),
inference(resolution,[],[f1747,f1598]) ).
fof(f7627,plain,
( ~ spl96_15
| spl96_556
| ~ spl96_103
| ~ spl96_130 ),
inference(avatar_split_clause,[],[f1779,f1722,f1577,f7625,f1146]) ).
fof(f7625,plain,
( spl96_556
<=> ! [X0] :
( aElement0(sK74(X0))
| ~ sP34(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_556])]) ).
fof(f1779,plain,
( ! [X0] :
( aElement0(sK74(X0))
| ~ aSet0(szNzAzT0)
| ~ sP34(X0) )
| ~ spl96_103
| ~ spl96_130 ),
inference(resolution,[],[f1723,f1578]) ).
fof(f7623,plain,
( spl96_555
| ~ spl96_103
| ~ spl96_107 ),
inference(avatar_split_clause,[],[f1639,f1593,f1577,f7621]) ).
fof(f7621,plain,
( spl96_555
<=> ! [X0] :
( sdtlseqdt0(sK74(X0),sK74(X0))
| ~ sP34(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_555])]) ).
fof(f1639,plain,
( ! [X0] :
( sdtlseqdt0(sK74(X0),sK74(X0))
| ~ sP34(X0) )
| ~ spl96_103
| ~ spl96_107 ),
inference(resolution,[],[f1594,f1578]) ).
fof(f7584,plain,
( spl96_554
| ~ spl96_144
| ~ spl96_275 ),
inference(avatar_split_clause,[],[f2912,f2898,f1827,f7582]) ).
fof(f7582,plain,
( spl96_554
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ sP23(sdtlpdtrp0(xC,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_554])]) ).
fof(f1827,plain,
( spl96_144
<=> ! [X0] :
( ~ aSubsetOf0(sdtlcdtrc0(X0,szDzozmdt0(X0)),xT)
| ~ sP23(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_144])]) ).
fof(f2898,plain,
( spl96_275
<=> ! [X0] :
( aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))),xT)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_275])]) ).
fof(f2912,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ sP23(sdtlpdtrp0(xC,X0)) )
| ~ spl96_144
| ~ spl96_275 ),
inference(resolution,[],[f2899,f1828]) ).
fof(f1828,plain,
( ! [X0] :
( ~ aSubsetOf0(sdtlcdtrc0(X0,szDzozmdt0(X0)),xT)
| ~ sP23(X0) )
| ~ spl96_144 ),
inference(avatar_component_clause,[],[f1827]) ).
fof(f2899,plain,
( ! [X0] :
( aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))),xT)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_275 ),
inference(avatar_component_clause,[],[f2898]) ).
fof(f7580,plain,
( spl96_553
| ~ spl96_34
| ~ spl96_499 ),
inference(avatar_split_clause,[],[f7081,f7029,f1241,f7577]) ).
fof(f7577,plain,
( spl96_553
<=> sP31(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_553])]) ).
fof(f7081,plain,
( sP31(sz00)
| ~ spl96_34
| ~ spl96_499 ),
inference(resolution,[],[f7030,f1243]) ).
fof(f7571,plain,
( ~ spl96_13
| spl96_552
| ~ spl96_22
| ~ spl96_85
| ~ spl96_263 ),
inference(avatar_split_clause,[],[f2788,f2698,f1491,f1181,f7568,f1136]) ).
fof(f7568,plain,
( spl96_552
<=> xQ = sdtpldt0(xP,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_552])]) ).
fof(f2788,plain,
( xQ = sdtpldt0(xP,xp)
| ~ aSet0(xQ)
| ~ spl96_22
| ~ spl96_85
| ~ spl96_263 ),
inference(forward_demodulation,[],[f2773,f1493]) ).
fof(f2773,plain,
( xQ = sdtpldt0(sdtmndt0(xQ,xp),xp)
| ~ aSet0(xQ)
| ~ spl96_22
| ~ spl96_263 ),
inference(resolution,[],[f2699,f1183]) ).
fof(f7566,plain,
( ~ spl96_66
| spl96_551
| ~ spl96_58
| ~ spl96_220 ),
inference(avatar_split_clause,[],[f2525,f2440,f1354,f7563,f1394]) ).
fof(f7563,plain,
( spl96_551
<=> aSet0(sdtmndt0(xS,szmzizndt0(xS))) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_551])]) ).
fof(f2440,plain,
( spl96_220
<=> ! [X0] :
( aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP8(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_220])]) ).
fof(f2525,plain,
( aSet0(sdtmndt0(xS,szmzizndt0(xS)))
| ~ sP8(sz00)
| ~ spl96_58
| ~ spl96_220 ),
inference(superposition,[],[f2441,f1356]) ).
fof(f2441,plain,
( ! [X0] :
( aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP8(X0) )
| ~ spl96_220 ),
inference(avatar_component_clause,[],[f2440]) ).
fof(f7561,plain,
( spl96_550
| ~ spl96_165
| ~ spl96_186 ),
inference(avatar_split_clause,[],[f2134,f2114,f1948,f7559]) ).
fof(f7559,plain,
( spl96_550
<=> ! [X0] :
( sP34(sdtlpdtrp0(xe,sK74(X0)))
| ~ sP34(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_550])]) ).
fof(f2134,plain,
( ! [X0] :
( sP34(sdtlpdtrp0(xe,sK74(X0)))
| ~ sP34(X0) )
| ~ spl96_165
| ~ spl96_186 ),
inference(resolution,[],[f2115,f1949]) ).
fof(f7557,plain,
( spl96_549
| ~ spl96_158
| ~ spl96_185 ),
inference(avatar_split_clause,[],[f2131,f2110,f1919,f7555]) ).
fof(f7555,plain,
( spl96_549
<=> ! [X0] :
( ~ aElementOf0(X0,xO)
| aElementOf0(sK54(X0),szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_549])]) ).
fof(f1919,plain,
( spl96_158
<=> ! [X3] :
( aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X3,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_158])]) ).
fof(f2131,plain,
( ! [X0] :
( ~ aElementOf0(X0,xO)
| aElementOf0(sK54(X0),szNzAzT0) )
| ~ spl96_158
| ~ spl96_185 ),
inference(resolution,[],[f2111,f1920]) ).
fof(f1920,plain,
( ! [X3] :
( ~ aElementOf0(X3,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| aElementOf0(X3,szNzAzT0) )
| ~ spl96_158 ),
inference(avatar_component_clause,[],[f1919]) ).
fof(f7549,plain,
( ~ spl96_26
| spl96_548
| ~ spl96_42
| ~ spl96_154 ),
inference(avatar_split_clause,[],[f1909,f1867,f1280,f7546,f1201]) ).
fof(f7546,plain,
( spl96_548
<=> aElementOf0(xk,slbdtrb0(xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_548])]) ).
fof(f1280,plain,
( spl96_42
<=> xK = szszuzczcdt0(xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_42])]) ).
fof(f1909,plain,
( aElementOf0(xk,slbdtrb0(xK))
| ~ aElementOf0(xk,szNzAzT0)
| ~ spl96_42
| ~ spl96_154 ),
inference(superposition,[],[f1868,f1282]) ).
fof(f1282,plain,
( xK = szszuzczcdt0(xk)
| ~ spl96_42 ),
inference(avatar_component_clause,[],[f1280]) ).
fof(f7544,plain,
( spl96_547
| ~ spl96_57
| ~ spl96_149 ),
inference(avatar_split_clause,[],[f1884,f1847,f1350,f7542]) ).
fof(f7542,plain,
( spl96_547
<=> ! [X0] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| sP8(sbrdtbr0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_547])]) ).
fof(f1884,plain,
( ! [X0] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| sP8(sbrdtbr0(X0)) )
| ~ spl96_57
| ~ spl96_149 ),
inference(resolution,[],[f1848,f1351]) ).
fof(f7540,plain,
( spl96_546
| ~ spl96_62
| ~ spl96_149 ),
inference(avatar_split_clause,[],[f1883,f1847,f1373,f7538]) ).
fof(f7538,plain,
( spl96_546
<=> ! [X0] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| sP11(sbrdtbr0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_546])]) ).
fof(f1883,plain,
( ! [X0] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| sP11(sbrdtbr0(X0)) )
| ~ spl96_62
| ~ spl96_149 ),
inference(resolution,[],[f1848,f1374]) ).
fof(f7536,plain,
( ~ spl96_545
| ~ spl96_65
| ~ spl96_38
| ~ spl96_144 ),
inference(avatar_split_clause,[],[f1874,f1827,f1260,f1386,f7533]) ).
fof(f7533,plain,
( spl96_545
<=> sP23(xd) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_545])]) ).
fof(f1874,plain,
( ~ aSubsetOf0(sdtlcdtrc0(xd,szNzAzT0),xT)
| ~ sP23(xd)
| ~ spl96_38
| ~ spl96_144 ),
inference(superposition,[],[f1828,f1262]) ).
fof(f7531,plain,
( ~ spl96_60
| spl96_544
| ~ spl96_94
| ~ spl96_130 ),
inference(avatar_split_clause,[],[f1780,f1722,f1529,f7528,f1363]) ).
fof(f7528,plain,
( spl96_544
<=> aElement0(sK76) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_544])]) ).
fof(f1529,plain,
( spl96_94
<=> aElementOf0(sK76,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_94])]) ).
fof(f1780,plain,
( aElement0(sK76)
| ~ aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ spl96_94
| ~ spl96_130 ),
inference(resolution,[],[f1723,f1531]) ).
fof(f1531,plain,
( aElementOf0(sK76,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ spl96_94 ),
inference(avatar_component_clause,[],[f1529]) ).
fof(f7526,plain,
( ~ spl96_2
| spl96_543
| ~ spl96_44
| ~ spl96_199 ),
inference(avatar_split_clause,[],[f2271,f2183,f1290,f7523,f1081]) ).
fof(f1081,plain,
( spl96_2
<=> aFunction0(xc) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_2])]) ).
fof(f7523,plain,
( spl96_543
<=> aElement0(sdtlpdtrp0(xc,xQ)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_543])]) ).
fof(f1290,plain,
( spl96_44
<=> aElementOf0(xQ,szDzozmdt0(xc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_44])]) ).
fof(f2271,plain,
( aElement0(sdtlpdtrp0(xc,xQ))
| ~ aFunction0(xc)
| ~ spl96_44
| ~ spl96_199 ),
inference(resolution,[],[f2184,f1292]) ).
fof(f1292,plain,
( aElementOf0(xQ,szDzozmdt0(xc))
| ~ spl96_44 ),
inference(avatar_component_clause,[],[f1290]) ).
fof(f7521,plain,
( ~ spl96_2
| ~ spl96_74
| spl96_502 ),
inference(avatar_split_clause,[],[f7051,f7043,f1431,f1081]) ).
fof(f1431,plain,
( spl96_74
<=> ! [X0] :
( aSet0(szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_74])]) ).
fof(f7051,plain,
( ~ aFunction0(xc)
| ~ spl96_74
| spl96_502 ),
inference(resolution,[],[f7045,f1432]) ).
fof(f1432,plain,
( ! [X0] :
( aSet0(szDzozmdt0(X0))
| ~ aFunction0(X0) )
| ~ spl96_74 ),
inference(avatar_component_clause,[],[f1431]) ).
fof(f7045,plain,
( ~ aSet0(szDzozmdt0(xc))
| spl96_502 ),
inference(avatar_component_clause,[],[f7043]) ).
fof(f7481,plain,
( spl96_542
| ~ spl96_332
| ~ spl96_339 ),
inference(avatar_split_clause,[],[f3688,f3517,f3488,f7479]) ).
fof(f7479,plain,
( spl96_542
<=> ! [X0,X1] :
( ~ sP28(X0,X1)
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_542])]) ).
fof(f3517,plain,
( spl96_339
<=> ! [X0,X1] :
( aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
| ~ sP28(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_339])]) ).
fof(f3688,plain,
( ! [X0,X1] :
( ~ sP28(X0,X1)
| ~ sP4(X0,X1) )
| ~ spl96_332
| ~ spl96_339 ),
inference(resolution,[],[f3518,f3489]) ).
fof(f3518,plain,
( ! [X0,X1] :
( aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
| ~ sP28(X0,X1) )
| ~ spl96_339 ),
inference(avatar_component_clause,[],[f3517]) ).
fof(f7477,plain,
( spl96_541
| ~ spl96_335
| ~ spl96_339 ),
inference(avatar_split_clause,[],[f3687,f3517,f3501,f7475]) ).
fof(f7475,plain,
( spl96_541
<=> ! [X0,X1] :
( ~ sP28(X0,X1)
| ~ sP15(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_541])]) ).
fof(f3687,plain,
( ! [X0,X1] :
( ~ sP28(X0,X1)
| ~ sP15(X0,X1) )
| ~ spl96_335
| ~ spl96_339 ),
inference(resolution,[],[f3518,f3502]) ).
fof(f7473,plain,
( spl96_540
| ~ spl96_281
| ~ spl96_282 ),
inference(avatar_split_clause,[],[f3002,f2941,f2937,f7471]) ).
fof(f7471,plain,
( spl96_540
<=> ! [X0,X1] :
( ~ sP28(X0,X1)
| ~ sP29(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_540])]) ).
fof(f3002,plain,
( ! [X0,X1] :
( ~ sP28(X0,X1)
| ~ sP29(X0,X1) )
| ~ spl96_281
| ~ spl96_282 ),
inference(resolution,[],[f2942,f2938]) ).
fof(f7469,plain,
( spl96_539
| ~ spl96_78
| ~ spl96_136 ),
inference(avatar_split_clause,[],[f1800,f1746,f1447,f7467]) ).
fof(f7467,plain,
( spl96_539
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sP41(szszuzczcdt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_539])]) ).
fof(f1800,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sP41(szszuzczcdt0(X0)) )
| ~ spl96_78
| ~ spl96_136 ),
inference(resolution,[],[f1747,f1448]) ).
fof(f7465,plain,
( spl96_538
| ~ spl96_103
| ~ spl96_108 ),
inference(avatar_split_clause,[],[f1643,f1597,f1577,f7463]) ).
fof(f7463,plain,
( spl96_538
<=> ! [X0] :
( sdtlseqdt0(sz00,sK74(X0))
| ~ sP34(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_538])]) ).
fof(f1643,plain,
( ! [X0] :
( sdtlseqdt0(sz00,sK74(X0))
| ~ sP34(X0) )
| ~ spl96_103
| ~ spl96_108 ),
inference(resolution,[],[f1598,f1578]) ).
fof(f7461,plain,
( spl96_537
| ~ spl96_103
| ~ spl96_106 ),
inference(avatar_split_clause,[],[f1634,f1589,f1577,f7459]) ).
fof(f7459,plain,
( spl96_537
<=> ! [X0] :
( isFinite0(slbdtrb0(sK74(X0)))
| ~ sP34(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_537])]) ).
fof(f1634,plain,
( ! [X0] :
( isFinite0(slbdtrb0(sK74(X0)))
| ~ sP34(X0) )
| ~ spl96_103
| ~ spl96_106 ),
inference(resolution,[],[f1590,f1578]) ).
fof(f7362,plain,
( spl96_536
| ~ spl96_94
| ~ spl96_247 ),
inference(avatar_split_clause,[],[f2629,f2602,f1529,f7359]) ).
fof(f7359,plain,
( spl96_536
<=> szDzizrdt0(xd) = sdtlpdtrp0(xd,sK76) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_536])]) ).
fof(f2629,plain,
( szDzizrdt0(xd) = sdtlpdtrp0(xd,sK76)
| ~ spl96_94
| ~ spl96_247 ),
inference(resolution,[],[f2603,f1531]) ).
fof(f7357,plain,
( spl96_535
| ~ spl96_34
| ~ spl96_58
| ~ spl96_211 ),
inference(avatar_split_clause,[],[f2397,f2350,f1354,f1241,f7354]) ).
fof(f7354,plain,
( spl96_535
<=> sdtlpdtrp0(xe,sz00) = szmzizndt0(xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_535])]) ).
fof(f2397,plain,
( sdtlpdtrp0(xe,sz00) = szmzizndt0(xS)
| ~ spl96_34
| ~ spl96_58
| ~ spl96_211 ),
inference(forward_demodulation,[],[f2386,f1356]) ).
fof(f2386,plain,
( sdtlpdtrp0(xe,sz00) = szmzizndt0(sdtlpdtrp0(xN,sz00))
| ~ spl96_34
| ~ spl96_211 ),
inference(resolution,[],[f2351,f1243]) ).
fof(f7346,plain,
( ~ spl96_66
| spl96_534
| ~ spl96_58
| ~ spl96_189 ),
inference(avatar_split_clause,[],[f2225,f2142,f1354,f7343,f1394]) ).
fof(f7343,plain,
( spl96_534
<=> aElementOf0(szmzizndt0(xS),xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_534])]) ).
fof(f2225,plain,
( aElementOf0(szmzizndt0(xS),xS)
| ~ sP8(sz00)
| ~ spl96_58
| ~ spl96_189 ),
inference(superposition,[],[f2143,f1356]) ).
fof(f7341,plain,
( ~ spl96_13
| ~ spl96_533
| spl96_155
| ~ spl96_28
| ~ spl96_172 ),
inference(avatar_split_clause,[],[f2054,f1977,f1211,f1890,f7338,f1136]) ).
fof(f2054,plain,
( isFinite0(xP)
| ~ isFinite0(xQ)
| ~ aSet0(xQ)
| ~ spl96_28
| ~ spl96_172 ),
inference(resolution,[],[f1978,f1213]) ).
fof(f7329,plain,
( spl96_531
| ~ spl96_532
| ~ spl96_156
| ~ spl96_160 ),
inference(avatar_split_clause,[],[f2016,f1928,f1911,f7326,f7322]) ).
fof(f7322,plain,
( spl96_531
<=> aElementOf0(sK62(xc),xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_531])]) ).
fof(f7326,plain,
( spl96_532
<=> sP20(xc) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_532])]) ).
fof(f2016,plain,
( ~ sP20(xc)
| aElementOf0(sK62(xc),xT)
| ~ spl96_156
| ~ spl96_160 ),
inference(resolution,[],[f1929,f1912]) ).
fof(f7320,plain,
( spl96_530
| ~ spl96_57
| ~ spl96_136 ),
inference(avatar_split_clause,[],[f1802,f1746,f1350,f7318]) ).
fof(f7318,plain,
( spl96_530
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sP8(szszuzczcdt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_530])]) ).
fof(f1802,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sP8(szszuzczcdt0(X0)) )
| ~ spl96_57
| ~ spl96_136 ),
inference(resolution,[],[f1747,f1351]) ).
fof(f7316,plain,
( spl96_529
| ~ spl96_62
| ~ spl96_136 ),
inference(avatar_split_clause,[],[f1801,f1746,f1373,f7314]) ).
fof(f7314,plain,
( spl96_529
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sP11(szszuzczcdt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_529])]) ).
fof(f1801,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sP11(szszuzczcdt0(X0)) )
| ~ spl96_62
| ~ spl96_136 ),
inference(resolution,[],[f1747,f1374]) ).
fof(f7310,plain,
( ~ spl96_26
| spl96_528
| ~ spl96_42
| ~ spl96_135 ),
inference(avatar_split_clause,[],[f1796,f1742,f1280,f7307,f1201]) ).
fof(f7307,plain,
( spl96_528
<=> sdtlseqdt0(xk,xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_528])]) ).
fof(f1742,plain,
( spl96_135
<=> ! [X0] :
( sdtlseqdt0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_135])]) ).
fof(f1796,plain,
( sdtlseqdt0(xk,xK)
| ~ aElementOf0(xk,szNzAzT0)
| ~ spl96_42
| ~ spl96_135 ),
inference(superposition,[],[f1743,f1282]) ).
fof(f1743,plain,
( ! [X0] :
( sdtlseqdt0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_135 ),
inference(avatar_component_clause,[],[f1742]) ).
fof(f7305,plain,
( ~ spl96_26
| spl96_527
| ~ spl96_42
| ~ spl96_134 ),
inference(avatar_split_clause,[],[f1795,f1738,f1280,f7302,f1201]) ).
fof(f7302,plain,
( spl96_527
<=> iLess0(xk,xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_527])]) ).
fof(f1738,plain,
( spl96_134
<=> ! [X0] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_134])]) ).
fof(f1795,plain,
( iLess0(xk,xK)
| ~ aElementOf0(xk,szNzAzT0)
| ~ spl96_42
| ~ spl96_134 ),
inference(superposition,[],[f1739,f1282]) ).
fof(f1739,plain,
( ! [X0] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_134 ),
inference(avatar_component_clause,[],[f1738]) ).
fof(f7300,plain,
( spl96_526
| ~ spl96_78
| ~ spl96_382 ),
inference(avatar_split_clause,[],[f6911,f4407,f1447,f7297]) ).
fof(f7297,plain,
( spl96_526
<=> sP41(sK76) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_526])]) ).
fof(f6911,plain,
( sP41(sK76)
| ~ spl96_78
| ~ spl96_382 ),
inference(resolution,[],[f4409,f1448]) ).
fof(f7295,plain,
( ~ spl96_26
| ~ spl96_525
| ~ spl96_42
| ~ spl96_133 ),
inference(avatar_split_clause,[],[f1794,f1734,f1280,f7292,f1201]) ).
fof(f7292,plain,
( spl96_525
<=> sdtlseqdt0(xK,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_525])]) ).
fof(f1734,plain,
( spl96_133
<=> ! [X0] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),sz00)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_133])]) ).
fof(f1794,plain,
( ~ sdtlseqdt0(xK,sz00)
| ~ aElementOf0(xk,szNzAzT0)
| ~ spl96_42
| ~ spl96_133 ),
inference(superposition,[],[f1735,f1282]) ).
fof(f1735,plain,
( ! [X0] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),sz00)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_133 ),
inference(avatar_component_clause,[],[f1734]) ).
fof(f7290,plain,
( ~ spl96_524
| spl96_503
| ~ spl96_61
| ~ spl96_130 ),
inference(avatar_split_clause,[],[f1774,f1722,f1368,f7047,f7287]) ).
fof(f7287,plain,
( spl96_524
<=> aSet0(slbdtsldtrb0(xO,xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_524])]) ).
fof(f7047,plain,
( spl96_503
<=> aElement0(xQ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_503])]) ).
fof(f1368,plain,
( spl96_61
<=> aElementOf0(xQ,slbdtsldtrb0(xO,xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_61])]) ).
fof(f1774,plain,
( aElement0(xQ)
| ~ aSet0(slbdtsldtrb0(xO,xK))
| ~ spl96_61
| ~ spl96_130 ),
inference(resolution,[],[f1723,f1370]) ).
fof(f1370,plain,
( aElementOf0(xQ,slbdtsldtrb0(xO,xK))
| ~ spl96_61 ),
inference(avatar_component_clause,[],[f1368]) ).
fof(f7285,plain,
( ~ spl96_522
| spl96_523
| ~ spl96_36
| ~ spl96_126 ),
inference(avatar_split_clause,[],[f1766,f1706,f1250,f7282,f7278]) ).
fof(f7278,plain,
( spl96_522
<=> sP23(xe) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_522])]) ).
fof(f7282,plain,
( spl96_523
<=> aSet0(sdtlcdtrc0(xe,szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_523])]) ).
fof(f1706,plain,
( spl96_126
<=> ! [X0] :
( aSet0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ sP23(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_126])]) ).
fof(f1766,plain,
( aSet0(sdtlcdtrc0(xe,szNzAzT0))
| ~ sP23(xe)
| ~ spl96_36
| ~ spl96_126 ),
inference(superposition,[],[f1707,f1252]) ).
fof(f1707,plain,
( ! [X0] :
( aSet0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ sP23(X0) )
| ~ spl96_126 ),
inference(avatar_component_clause,[],[f1706]) ).
fof(f7276,plain,
( ~ spl96_520
| spl96_521
| ~ spl96_37
| ~ spl96_126 ),
inference(avatar_split_clause,[],[f1765,f1706,f1255,f7273,f7269]) ).
fof(f7269,plain,
( spl96_520
<=> sP23(xC) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_520])]) ).
fof(f7273,plain,
( spl96_521
<=> aSet0(sdtlcdtrc0(xC,szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_521])]) ).
fof(f1765,plain,
( aSet0(sdtlcdtrc0(xC,szNzAzT0))
| ~ sP23(xC)
| ~ spl96_37
| ~ spl96_126 ),
inference(superposition,[],[f1707,f1257]) ).
fof(f7267,plain,
( spl96_519
| ~ spl96_62
| ~ spl96_382 ),
inference(avatar_split_clause,[],[f6910,f4407,f1373,f7264]) ).
fof(f7264,plain,
( spl96_519
<=> sP11(sK76) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_519])]) ).
fof(f6910,plain,
( sP11(sK76)
| ~ spl96_62
| ~ spl96_382 ),
inference(resolution,[],[f4409,f1374]) ).
fof(f7262,plain,
( ~ spl96_517
| spl96_518
| ~ spl96_39
| ~ spl96_126 ),
inference(avatar_split_clause,[],[f1764,f1706,f1265,f7259,f7255]) ).
fof(f7255,plain,
( spl96_517
<=> sP23(xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_517])]) ).
fof(f7259,plain,
( spl96_518
<=> aSet0(sdtlcdtrc0(xN,szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_518])]) ).
fof(f1764,plain,
( aSet0(sdtlcdtrc0(xN,szNzAzT0))
| ~ sP23(xN)
| ~ spl96_39
| ~ spl96_126 ),
inference(superposition,[],[f1707,f1267]) ).
fof(f7252,plain,
( ~ spl96_515
| spl96_516
| ~ spl96_42
| ~ spl96_124 ),
inference(avatar_split_clause,[],[f1761,f1698,f1280,f7249,f7245]) ).
fof(f7245,plain,
( spl96_515
<=> sP10(xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_515])]) ).
fof(f1698,plain,
( spl96_124
<=> ! [X0] :
( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ sP10(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_124])]) ).
fof(f1761,plain,
( aSet0(sdtlpdtrp0(xN,xK))
| ~ sP10(xk)
| ~ spl96_42
| ~ spl96_124 ),
inference(superposition,[],[f1699,f1282]) ).
fof(f1699,plain,
( ! [X0] :
( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ sP10(X0) )
| ~ spl96_124 ),
inference(avatar_component_clause,[],[f1698]) ).
fof(f7242,plain,
( spl96_514
| ~ spl96_17
| ~ spl96_35
| ~ spl96_193 ),
inference(avatar_split_clause,[],[f2232,f2158,f1246,f1156,f7240]) ).
fof(f7240,plain,
( spl96_514
<=> ! [X0] : ~ sP26(X0,slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_514])]) ).
fof(f2232,plain,
( ! [X0] :
( ~ aSet0(slcrc0)
| ~ sP26(X0,slcrc0) )
| ~ spl96_35
| ~ spl96_193 ),
inference(resolution,[],[f2159,f1247]) ).
fof(f7238,plain,
( spl96_513
| ~ spl96_57
| ~ spl96_382 ),
inference(avatar_split_clause,[],[f6909,f4407,f1350,f7235]) ).
fof(f6909,plain,
( sP8(sK76)
| ~ spl96_57
| ~ spl96_382 ),
inference(resolution,[],[f4409,f1351]) ).
fof(f7233,plain,
( spl96_512
| ~ spl96_34
| ~ spl96_151 ),
inference(avatar_split_clause,[],[f1901,f1855,f1241,f7231]) ).
fof(f7231,plain,
( spl96_512
<=> ! [X0] :
( sP47(X0,sz00)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_512])]) ).
fof(f1901,plain,
( ! [X0] :
( sP47(X0,sz00)
| ~ aSet0(X0) )
| ~ spl96_34
| ~ spl96_151 ),
inference(resolution,[],[f1856,f1243]) ).
fof(f7225,plain,
( ~ spl96_182
| spl96_511
| ~ spl96_54
| ~ spl96_113 ),
inference(avatar_split_clause,[],[f1648,f1622,f1335,f7222,f2025]) ).
fof(f2025,plain,
( spl96_182
<=> sP41(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_182])]) ).
fof(f7222,plain,
( spl96_511
<=> sP40(sz00,slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_511])]) ).
fof(f1335,plain,
( spl96_54
<=> slcrc0 = slbdtrb0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_54])]) ).
fof(f1648,plain,
( sP40(sz00,slcrc0)
| ~ sP41(sz00)
| ~ spl96_54
| ~ spl96_113 ),
inference(superposition,[],[f1623,f1337]) ).
fof(f1337,plain,
( slcrc0 = slbdtrb0(sz00)
| ~ spl96_54 ),
inference(avatar_component_clause,[],[f1335]) ).
fof(f7220,plain,
( spl96_510
| ~ spl96_77
| ~ spl96_113 ),
inference(avatar_split_clause,[],[f1647,f1622,f1443,f7218]) ).
fof(f7218,plain,
( spl96_510
<=> ! [X0] :
( ~ sP41(X0)
| aSet0(slbdtrb0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_510])]) ).
fof(f1443,plain,
( spl96_77
<=> ! [X0,X1] :
( aSet0(X1)
| ~ sP40(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_77])]) ).
fof(f1647,plain,
( ! [X0] :
( ~ sP41(X0)
| aSet0(slbdtrb0(X0)) )
| ~ spl96_77
| ~ spl96_113 ),
inference(resolution,[],[f1623,f1444]) ).
fof(f1444,plain,
( ! [X0,X1] :
( ~ sP40(X0,X1)
| aSet0(X1) )
| ~ spl96_77 ),
inference(avatar_component_clause,[],[f1443]) ).
fof(f7216,plain,
( spl96_509
| ~ spl96_78
| ~ spl96_103 ),
inference(avatar_split_clause,[],[f1625,f1577,f1447,f7214]) ).
fof(f7214,plain,
( spl96_509
<=> ! [X0] :
( ~ sP34(X0)
| sP41(sK74(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_509])]) ).
fof(f1625,plain,
( ! [X0] :
( ~ sP34(X0)
| sP41(sK74(X0)) )
| ~ spl96_78
| ~ spl96_103 ),
inference(resolution,[],[f1578,f1448]) ).
fof(f7078,plain,
( spl96_508
| ~ spl96_78
| ~ spl96_344 ),
inference(avatar_split_clause,[],[f6883,f3537,f1447,f7075]) ).
fof(f7075,plain,
( spl96_508
<=> sP41(sK56) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_508])]) ).
fof(f6883,plain,
( sP41(sK56)
| ~ spl96_78
| ~ spl96_344 ),
inference(resolution,[],[f3539,f1448]) ).
fof(f7069,plain,
( spl96_507
| ~ spl96_26
| ~ spl96_151 ),
inference(avatar_split_clause,[],[f1905,f1855,f1201,f7067]) ).
fof(f7067,plain,
( spl96_507
<=> ! [X0] :
( sP47(X0,xk)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_507])]) ).
fof(f1905,plain,
( ! [X0] :
( sP47(X0,xk)
| ~ aSet0(X0) )
| ~ spl96_26
| ~ spl96_151 ),
inference(resolution,[],[f1856,f1203]) ).
fof(f7065,plain,
( spl96_506
| ~ spl96_23
| ~ spl96_151 ),
inference(avatar_split_clause,[],[f1904,f1855,f1186,f7063]) ).
fof(f1904,plain,
( ! [X0] :
( sP47(X0,xK)
| ~ aSet0(X0) )
| ~ spl96_23
| ~ spl96_151 ),
inference(resolution,[],[f1856,f1188]) ).
fof(f7061,plain,
( spl96_505
| ~ spl96_26
| ~ spl96_150 ),
inference(avatar_split_clause,[],[f1898,f1851,f1201,f7058]) ).
fof(f7058,plain,
( spl96_505
<=> xk = sbrdtbr0(slbdtrb0(xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_505])]) ).
fof(f1898,plain,
( xk = sbrdtbr0(slbdtrb0(xk))
| ~ spl96_26
| ~ spl96_150 ),
inference(resolution,[],[f1852,f1203]) ).
fof(f7056,plain,
( spl96_504
| ~ spl96_23
| ~ spl96_150 ),
inference(avatar_split_clause,[],[f1897,f1851,f1186,f7053]) ).
fof(f7053,plain,
( spl96_504
<=> xK = sbrdtbr0(slbdtrb0(xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_504])]) ).
fof(f1897,plain,
( xK = sbrdtbr0(slbdtrb0(xK))
| ~ spl96_23
| ~ spl96_150 ),
inference(resolution,[],[f1852,f1188]) ).
fof(f7050,plain,
( ~ spl96_502
| spl96_503
| ~ spl96_44
| ~ spl96_130 ),
inference(avatar_split_clause,[],[f1773,f1722,f1290,f7047,f7043]) ).
fof(f1773,plain,
( aElement0(xQ)
| ~ aSet0(szDzozmdt0(xc))
| ~ spl96_44
| ~ spl96_130 ),
inference(resolution,[],[f1723,f1292]) ).
fof(f7041,plain,
( spl96_501
| ~ spl96_62
| ~ spl96_344 ),
inference(avatar_split_clause,[],[f6882,f3537,f1373,f7038]) ).
fof(f7038,plain,
( spl96_501
<=> sP11(sK56) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_501])]) ).
fof(f6882,plain,
( sP11(sK56)
| ~ spl96_62
| ~ spl96_344 ),
inference(resolution,[],[f3539,f1374]) ).
fof(f7036,plain,
( ~ spl96_7
| spl96_500
| ~ spl96_43
| ~ spl96_130 ),
inference(avatar_split_clause,[],[f1770,f1722,f1285,f7033,f1106]) ).
fof(f7033,plain,
( spl96_500
<=> aElement0(szDzizrdt0(xd)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_500])]) ).
fof(f1770,plain,
( aElement0(szDzizrdt0(xd))
| ~ aSet0(xT)
| ~ spl96_43
| ~ spl96_130 ),
inference(resolution,[],[f1723,f1287]) ).
fof(f7031,plain,
( spl96_499
| ~ spl96_73
| ~ spl96_122 ),
inference(avatar_split_clause,[],[f1696,f1684,f1427,f7029]) ).
fof(f1427,plain,
( spl96_73
<=> ! [X0,X1] :
( sP31(X0)
| ~ sP33(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_73])]) ).
fof(f1696,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sP31(X0) )
| ~ spl96_73
| ~ spl96_122 ),
inference(resolution,[],[f1685,f1428]) ).
fof(f1428,plain,
( ! [X0,X1] :
( ~ sP33(X0,X1)
| sP31(X0) )
| ~ spl96_73 ),
inference(avatar_component_clause,[],[f1427]) ).
fof(f7027,plain,
( spl96_498
| ~ spl96_57
| ~ spl96_103 ),
inference(avatar_split_clause,[],[f1627,f1577,f1350,f7025]) ).
fof(f7025,plain,
( spl96_498
<=> ! [X0] :
( ~ sP34(X0)
| sP8(sK74(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_498])]) ).
fof(f1627,plain,
( ! [X0] :
( ~ sP34(X0)
| sP8(sK74(X0)) )
| ~ spl96_57
| ~ spl96_103 ),
inference(resolution,[],[f1578,f1351]) ).
fof(f7023,plain,
( spl96_497
| ~ spl96_62
| ~ spl96_103 ),
inference(avatar_split_clause,[],[f1626,f1577,f1373,f7021]) ).
fof(f7021,plain,
( spl96_497
<=> ! [X0] :
( ~ sP34(X0)
| sP11(sK74(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_497])]) ).
fof(f1626,plain,
( ! [X0] :
( ~ sP34(X0)
| sP11(sK74(X0)) )
| ~ spl96_62
| ~ spl96_103 ),
inference(resolution,[],[f1578,f1374]) ).
fof(f7019,plain,
( ~ spl96_15
| ~ spl96_496
| ~ spl96_16
| ~ spl96_109 ),
inference(avatar_split_clause,[],[f1646,f1601,f1151,f7016,f1146]) ).
fof(f7016,plain,
( spl96_496
<=> isFinite0(szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_496])]) ).
fof(f1646,plain,
( ~ isFinite0(szNzAzT0)
| ~ aSet0(szNzAzT0)
| ~ spl96_16
| ~ spl96_109 ),
inference(resolution,[],[f1602,f1153]) ).
fof(f1153,plain,
( isCountable0(szNzAzT0)
| ~ spl96_16 ),
inference(avatar_component_clause,[],[f1151]) ).
fof(f7014,plain,
( ~ spl96_17
| spl96_495
| ~ spl96_75
| ~ spl96_112 ),
inference(avatar_split_clause,[],[f1620,f1613,f1435,f7011,f1156]) ).
fof(f7011,plain,
( spl96_495
<=> aElement0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_495])]) ).
fof(f1435,plain,
( spl96_75
<=> ! [X0] :
( aElement0(sbrdtbr0(X0))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_75])]) ).
fof(f1620,plain,
( aElement0(sz00)
| ~ aSet0(slcrc0)
| ~ spl96_75
| ~ spl96_112 ),
inference(superposition,[],[f1436,f1615]) ).
fof(f1436,plain,
( ! [X0] :
( aElement0(sbrdtbr0(X0))
| ~ aSet0(X0) )
| ~ spl96_75 ),
inference(avatar_component_clause,[],[f1435]) ).
fof(f7009,plain,
( ~ spl96_13
| spl96_494
| ~ spl96_30
| ~ spl96_130 ),
inference(avatar_split_clause,[],[f1776,f1722,f1221,f7006,f1136]) ).
fof(f1776,plain,
( aElement0(sK56)
| ~ aSet0(xQ)
| ~ spl96_30
| ~ spl96_130 ),
inference(resolution,[],[f1723,f1223]) ).
fof(f7004,plain,
( ~ spl96_13
| spl96_493
| ~ spl96_22
| ~ spl96_130 ),
inference(avatar_split_clause,[],[f1775,f1722,f1181,f7001,f1136]) ).
fof(f1775,plain,
( aElement0(xp)
| ~ aSet0(xQ)
| ~ spl96_22
| ~ spl96_130 ),
inference(resolution,[],[f1723,f1183]) ).
fof(f6999,plain,
( ~ spl96_15
| spl96_492
| ~ spl96_26
| ~ spl96_130 ),
inference(avatar_split_clause,[],[f1772,f1722,f1201,f6996,f1146]) ).
fof(f6996,plain,
( spl96_492
<=> aElement0(xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_492])]) ).
fof(f1772,plain,
( aElement0(xk)
| ~ aSet0(szNzAzT0)
| ~ spl96_26
| ~ spl96_130 ),
inference(resolution,[],[f1723,f1203]) ).
fof(f6987,plain,
( spl96_491
| ~ spl96_19
| ~ spl96_57 ),
inference(avatar_split_clause,[],[f6967,f1350,f1165,f6984]) ).
fof(f6967,plain,
( sP8(sbrdtbr0(xP))
| ~ spl96_19
| ~ spl96_57 ),
inference(resolution,[],[f1166,f1351]) ).
fof(f6965,plain,
( ~ spl96_6
| ~ spl96_75
| spl96_486 ),
inference(avatar_split_clause,[],[f6949,f6941,f1435,f1101]) ).
fof(f6941,plain,
( spl96_486
<=> aElement0(sbrdtbr0(xP)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_486])]) ).
fof(f6949,plain,
( ~ aSet0(xP)
| ~ spl96_75
| spl96_486 ),
inference(resolution,[],[f6943,f1436]) ).
fof(f6943,plain,
( ~ aElement0(sbrdtbr0(xP))
| spl96_486 ),
inference(avatar_component_clause,[],[f6941]) ).
fof(f6964,plain,
( ~ spl96_11
| ~ spl96_490
| ~ spl96_12
| ~ spl96_109 ),
inference(avatar_split_clause,[],[f1645,f1601,f1131,f6961,f1126]) ).
fof(f6961,plain,
( spl96_490
<=> isFinite0(xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_490])]) ).
fof(f1645,plain,
( ~ isFinite0(xS)
| ~ aSet0(xS)
| ~ spl96_12
| ~ spl96_109 ),
inference(resolution,[],[f1602,f1133]) ).
fof(f1133,plain,
( isCountable0(xS)
| ~ spl96_12 ),
inference(avatar_component_clause,[],[f1131]) ).
fof(f6959,plain,
( ~ spl96_9
| ~ spl96_489
| ~ spl96_10
| ~ spl96_109 ),
inference(avatar_split_clause,[],[f1644,f1601,f1121,f6956,f1116]) ).
fof(f1121,plain,
( spl96_10
<=> isCountable0(xO) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_10])]) ).
fof(f1644,plain,
( ~ isFinite0(xO)
| ~ aSet0(xO)
| ~ spl96_10
| ~ spl96_109 ),
inference(resolution,[],[f1602,f1123]) ).
fof(f1123,plain,
( isCountable0(xO)
| ~ spl96_10 ),
inference(avatar_component_clause,[],[f1121]) ).
fof(f6954,plain,
( ~ spl96_13
| spl96_488
| ~ spl96_40
| ~ spl96_75 ),
inference(avatar_split_clause,[],[f1459,f1435,f1270,f6951,f1136]) ).
fof(f6951,plain,
( spl96_488
<=> aElement0(xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_488])]) ).
fof(f1459,plain,
( aElement0(xK)
| ~ aSet0(xQ)
| ~ spl96_40
| ~ spl96_75 ),
inference(superposition,[],[f1436,f1272]) ).
fof(f6948,plain,
( ~ spl96_486
| ~ spl96_15
| spl96_487
| spl96_19
| ~ spl96_319 ),
inference(avatar_split_clause,[],[f3415,f3178,f1165,f6945,f1146,f6941]) ).
fof(f6945,plain,
( spl96_487
<=> szNzAzT0 = sdtmndt0(sdtpldt0(szNzAzT0,sbrdtbr0(xP)),sbrdtbr0(xP)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_487])]) ).
fof(f3415,plain,
( szNzAzT0 = sdtmndt0(sdtpldt0(szNzAzT0,sbrdtbr0(xP)),sbrdtbr0(xP))
| ~ aSet0(szNzAzT0)
| ~ aElement0(sbrdtbr0(xP))
| spl96_19
| ~ spl96_319 ),
inference(resolution,[],[f3179,f1167]) ).
fof(f1167,plain,
( ~ aElementOf0(sbrdtbr0(xP),szNzAzT0)
| spl96_19 ),
inference(avatar_component_clause,[],[f1165]) ).
fof(f6935,plain,
( spl96_485
| ~ spl96_34
| ~ spl96_107 ),
inference(avatar_split_clause,[],[f1636,f1593,f1241,f6932]) ).
fof(f6932,plain,
( spl96_485
<=> sdtlseqdt0(sz00,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_485])]) ).
fof(f1636,plain,
( sdtlseqdt0(sz00,sz00)
| ~ spl96_34
| ~ spl96_107 ),
inference(resolution,[],[f1594,f1243]) ).
fof(f6930,plain,
( spl96_484
| ~ spl96_57
| ~ spl96_344 ),
inference(avatar_split_clause,[],[f6881,f3537,f1350,f6927]) ).
fof(f6881,plain,
( sP8(sK56)
| ~ spl96_57
| ~ spl96_344 ),
inference(resolution,[],[f3539,f1351]) ).
fof(f6880,plain,
spl96_483,
inference(avatar_split_clause,[],[f780,f6878]) ).
fof(f6878,plain,
( spl96_483
<=> ! [X2,X0,X1] :
( sP17(X2,sK64(X0,X1,X2),X1,X0)
| sbrdtbr0(sK64(X0,X1,X2)) != X1
| aElementOf0(sK65(X0,X1,X2),sK64(X0,X1,X2))
| ~ aSet0(sK64(X0,X1,X2))
| ~ sP18(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_483])]) ).
fof(f780,plain,
! [X2,X0,X1] :
( sP17(X2,sK64(X0,X1,X2),X1,X0)
| sbrdtbr0(sK64(X0,X1,X2)) != X1
| aElementOf0(sK65(X0,X1,X2),sK64(X0,X1,X2))
| ~ aSet0(sK64(X0,X1,X2))
| ~ sP18(X0,X1,X2) ),
inference(cnf_transformation,[],[f432]) ).
fof(f432,plain,
! [X0,X1,X2] :
( sP17(X2,sK64(X0,X1,X2),X1,X0)
| ( ( sbrdtbr0(sK64(X0,X1,X2)) != X1
| ( ~ aSubsetOf0(sK64(X0,X1,X2),X0)
& ( ( ~ aElementOf0(sK65(X0,X1,X2),X0)
& aElementOf0(sK65(X0,X1,X2),sK64(X0,X1,X2)) )
| ~ aSet0(sK64(X0,X1,X2)) ) ) )
& aElementOf0(sK64(X0,X1,X2),szDzozmdt0(X2)) )
| ~ sP18(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK64,sK65])],[f429,f431,f430]) ).
fof(f430,plain,
! [X0,X1,X2] :
( ? [X3] :
( sP17(X2,X3,X1,X0)
| ( ( sbrdtbr0(X3) != X1
| ( ~ aSubsetOf0(X3,X0)
& ( ? [X4] :
( ~ aElementOf0(X4,X0)
& aElementOf0(X4,X3) )
| ~ aSet0(X3) ) ) )
& aElementOf0(X3,szDzozmdt0(X2)) ) )
=> ( sP17(X2,sK64(X0,X1,X2),X1,X0)
| ( ( sbrdtbr0(sK64(X0,X1,X2)) != X1
| ( ~ aSubsetOf0(sK64(X0,X1,X2),X0)
& ( ? [X4] :
( ~ aElementOf0(X4,X0)
& aElementOf0(X4,sK64(X0,X1,X2)) )
| ~ aSet0(sK64(X0,X1,X2)) ) ) )
& aElementOf0(sK64(X0,X1,X2),szDzozmdt0(X2)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f431,plain,
! [X0,X1,X2] :
( ? [X4] :
( ~ aElementOf0(X4,X0)
& aElementOf0(X4,sK64(X0,X1,X2)) )
=> ( ~ aElementOf0(sK65(X0,X1,X2),X0)
& aElementOf0(sK65(X0,X1,X2),sK64(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f429,plain,
! [X0,X1,X2] :
( ? [X3] :
( sP17(X2,X3,X1,X0)
| ( ( sbrdtbr0(X3) != X1
| ( ~ aSubsetOf0(X3,X0)
& ( ? [X4] :
( ~ aElementOf0(X4,X0)
& aElementOf0(X4,X3) )
| ~ aSet0(X3) ) ) )
& aElementOf0(X3,szDzozmdt0(X2)) ) )
| ~ sP18(X0,X1,X2) ),
inference(rectify,[],[f428]) ).
fof(f428,plain,
! [X1,X0,X3] :
( ? [X7] :
( sP17(X3,X7,X0,X1)
| ( ( sbrdtbr0(X7) != X0
| ( ~ aSubsetOf0(X7,X1)
& ( ? [X9] :
( ~ aElementOf0(X9,X1)
& aElementOf0(X9,X7) )
| ~ aSet0(X7) ) ) )
& aElementOf0(X7,szDzozmdt0(X3)) ) )
| ~ sP18(X1,X0,X3) ),
inference(nnf_transformation,[],[f293]) ).
fof(f293,plain,
! [X1,X0,X3] :
( ? [X7] :
( sP17(X3,X7,X0,X1)
| ( ( sbrdtbr0(X7) != X0
| ( ~ aSubsetOf0(X7,X1)
& ( ? [X9] :
( ~ aElementOf0(X9,X1)
& aElementOf0(X9,X7) )
| ~ aSet0(X7) ) ) )
& aElementOf0(X7,szDzozmdt0(X3)) ) )
| ~ sP18(X1,X0,X3) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f6876,plain,
spl96_482,
inference(avatar_split_clause,[],[f781,f6874]) ).
fof(f6874,plain,
( spl96_482
<=> ! [X2,X0,X1] :
( sP17(X2,sK64(X0,X1,X2),X1,X0)
| sbrdtbr0(sK64(X0,X1,X2)) != X1
| ~ aElementOf0(sK65(X0,X1,X2),X0)
| ~ aSet0(sK64(X0,X1,X2))
| ~ sP18(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_482])]) ).
fof(f781,plain,
! [X2,X0,X1] :
( sP17(X2,sK64(X0,X1,X2),X1,X0)
| sbrdtbr0(sK64(X0,X1,X2)) != X1
| ~ aElementOf0(sK65(X0,X1,X2),X0)
| ~ aSet0(sK64(X0,X1,X2))
| ~ sP18(X0,X1,X2) ),
inference(cnf_transformation,[],[f432]) ).
fof(f6842,plain,
spl96_481,
inference(avatar_split_clause,[],[f982,f6840]) ).
fof(f6840,plain,
( spl96_481
<=> ! [X2,X0,X1] :
( sP45(X0,X1,X2)
| sK92(X0,X1,X2) = X0
| ~ aElementOf0(sK92(X0,X1,X2),X1)
| ~ aElement0(sK92(X0,X1,X2))
| ~ aElementOf0(sK92(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_481])]) ).
fof(f982,plain,
! [X2,X0,X1] :
( sP45(X0,X1,X2)
| sK92(X0,X1,X2) = X0
| ~ aElementOf0(sK92(X0,X1,X2),X1)
| ~ aElement0(sK92(X0,X1,X2))
| ~ aElementOf0(sK92(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f549]) ).
fof(f549,plain,
! [X0,X1,X2] :
( ( sP45(X0,X1,X2)
| ( ( sK92(X0,X1,X2) = X0
| ~ aElementOf0(sK92(X0,X1,X2),X1)
| ~ aElement0(sK92(X0,X1,X2))
| ~ aElementOf0(sK92(X0,X1,X2),X2) )
& ( ( sK92(X0,X1,X2) != X0
& aElementOf0(sK92(X0,X1,X2),X1)
& aElement0(sK92(X0,X1,X2)) )
| aElementOf0(sK92(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( aElementOf0(X4,X2)
| X0 = X4
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4) )
& ( ( X0 != X4
& aElementOf0(X4,X1)
& aElement0(X4) )
| ~ aElementOf0(X4,X2) ) )
| ~ sP45(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK92])],[f547,f548]) ).
fof(f548,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( X0 = X3
| ~ aElementOf0(X3,X1)
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( X0 != X3
& aElementOf0(X3,X1)
& aElement0(X3) )
| aElementOf0(X3,X2) ) )
=> ( ( sK92(X0,X1,X2) = X0
| ~ aElementOf0(sK92(X0,X1,X2),X1)
| ~ aElement0(sK92(X0,X1,X2))
| ~ aElementOf0(sK92(X0,X1,X2),X2) )
& ( ( sK92(X0,X1,X2) != X0
& aElementOf0(sK92(X0,X1,X2),X1)
& aElement0(sK92(X0,X1,X2)) )
| aElementOf0(sK92(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f547,plain,
! [X0,X1,X2] :
( ( sP45(X0,X1,X2)
| ? [X3] :
( ( X0 = X3
| ~ aElementOf0(X3,X1)
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( X0 != X3
& aElementOf0(X3,X1)
& aElement0(X3) )
| aElementOf0(X3,X2) ) ) )
& ( ! [X4] :
( ( aElementOf0(X4,X2)
| X0 = X4
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4) )
& ( ( X0 != X4
& aElementOf0(X4,X1)
& aElement0(X4) )
| ~ aElementOf0(X4,X2) ) )
| ~ sP45(X0,X1,X2) ) ),
inference(rectify,[],[f546]) ).
fof(f546,plain,
! [X1,X0,X2] :
( ( sP45(X1,X0,X2)
| ? [X3] :
( ( X1 = X3
| ~ aElementOf0(X3,X0)
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) )
| aElementOf0(X3,X2) ) ) )
& ( ! [X3] :
( ( aElementOf0(X3,X2)
| X1 = X3
| ~ aElementOf0(X3,X0)
| ~ aElement0(X3) )
& ( ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) )
| ~ aElementOf0(X3,X2) ) )
| ~ sP45(X1,X0,X2) ) ),
inference(flattening,[],[f545]) ).
fof(f545,plain,
! [X1,X0,X2] :
( ( sP45(X1,X0,X2)
| ? [X3] :
( ( X1 = X3
| ~ aElementOf0(X3,X0)
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) )
| aElementOf0(X3,X2) ) ) )
& ( ! [X3] :
( ( aElementOf0(X3,X2)
| X1 = X3
| ~ aElementOf0(X3,X0)
| ~ aElement0(X3) )
& ( ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) )
| ~ aElementOf0(X3,X2) ) )
| ~ sP45(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f331]) ).
fof(f331,plain,
! [X1,X0,X2] :
( sP45(X1,X0,X2)
<=> ! [X3] :
( aElementOf0(X3,X2)
<=> ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP45])]) ).
fof(f6838,plain,
spl96_480,
inference(avatar_split_clause,[],[f962,f6836]) ).
fof(f6836,plain,
( spl96_480
<=> ! [X2,X0,X1] :
( sP42(X0,X1,X2)
| sdtlpdtrp0(X1,sK90(X0,X1,X2)) != X0
| ~ aElementOf0(sK90(X0,X1,X2),szDzozmdt0(X1))
| ~ aElementOf0(sK90(X0,X1,X2),X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_480])]) ).
fof(f962,plain,
! [X2,X0,X1] :
( sP42(X0,X1,X2)
| sdtlpdtrp0(X1,sK90(X0,X1,X2)) != X0
| ~ aElementOf0(sK90(X0,X1,X2),szDzozmdt0(X1))
| ~ aElementOf0(sK90(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f537]) ).
fof(f537,plain,
! [X0,X1,X2] :
( ( sP42(X0,X1,X2)
| ( ( sdtlpdtrp0(X1,sK90(X0,X1,X2)) != X0
| ~ aElementOf0(sK90(X0,X1,X2),szDzozmdt0(X1))
| ~ aElementOf0(sK90(X0,X1,X2),X2) )
& ( ( sdtlpdtrp0(X1,sK90(X0,X1,X2)) = X0
& aElementOf0(sK90(X0,X1,X2),szDzozmdt0(X1)) )
| aElementOf0(sK90(X0,X1,X2),X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| sdtlpdtrp0(X1,X4) != X0
| ~ aElementOf0(X4,szDzozmdt0(X1)) )
& ( ( sdtlpdtrp0(X1,X4) = X0
& aElementOf0(X4,szDzozmdt0(X1)) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| ~ sP42(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK90])],[f535,f536]) ).
fof(f536,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( sdtlpdtrp0(X1,X3) != X0
| ~ aElementOf0(X3,szDzozmdt0(X1))
| ~ aElementOf0(X3,X2) )
& ( ( sdtlpdtrp0(X1,X3) = X0
& aElementOf0(X3,szDzozmdt0(X1)) )
| aElementOf0(X3,X2) ) )
=> ( ( sdtlpdtrp0(X1,sK90(X0,X1,X2)) != X0
| ~ aElementOf0(sK90(X0,X1,X2),szDzozmdt0(X1))
| ~ aElementOf0(sK90(X0,X1,X2),X2) )
& ( ( sdtlpdtrp0(X1,sK90(X0,X1,X2)) = X0
& aElementOf0(sK90(X0,X1,X2),szDzozmdt0(X1)) )
| aElementOf0(sK90(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f535,plain,
! [X0,X1,X2] :
( ( sP42(X0,X1,X2)
| ? [X3] :
( ( sdtlpdtrp0(X1,X3) != X0
| ~ aElementOf0(X3,szDzozmdt0(X1))
| ~ aElementOf0(X3,X2) )
& ( ( sdtlpdtrp0(X1,X3) = X0
& aElementOf0(X3,szDzozmdt0(X1)) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| sdtlpdtrp0(X1,X4) != X0
| ~ aElementOf0(X4,szDzozmdt0(X1)) )
& ( ( sdtlpdtrp0(X1,X4) = X0
& aElementOf0(X4,szDzozmdt0(X1)) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| ~ sP42(X0,X1,X2) ) ),
inference(rectify,[],[f534]) ).
fof(f534,plain,
! [X1,X0,X2] :
( ( sP42(X1,X0,X2)
| ? [X3] :
( ( sdtlpdtrp0(X0,X3) != X1
| ~ aElementOf0(X3,szDzozmdt0(X0))
| ~ aElementOf0(X3,X2) )
& ( ( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| sdtlpdtrp0(X0,X3) != X1
| ~ aElementOf0(X3,szDzozmdt0(X0)) )
& ( ( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| ~ sP42(X1,X0,X2) ) ),
inference(flattening,[],[f533]) ).
fof(f533,plain,
! [X1,X0,X2] :
( ( sP42(X1,X0,X2)
| ? [X3] :
( ( sdtlpdtrp0(X0,X3) != X1
| ~ aElementOf0(X3,szDzozmdt0(X0))
| ~ aElementOf0(X3,X2) )
& ( ( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| sdtlpdtrp0(X0,X3) != X1
| ~ aElementOf0(X3,szDzozmdt0(X0)) )
& ( ( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| ~ sP42(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f326]) ).
fof(f326,plain,
! [X1,X0,X2] :
( sP42(X1,X0,X2)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) ) )
& aSet0(X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP42])]) ).
fof(f6832,plain,
spl96_479,
inference(avatar_split_clause,[],[f605,f6830]) ).
fof(f6830,plain,
( spl96_479
<=> ! [X0,X1] :
( aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| sbrdtbr0(X1) != xk
| ~ aElementOf0(sK50(X0,X1),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aSet0(X1)
| ~ sP6(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_479])]) ).
fof(f605,plain,
! [X0,X1] :
( aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| sbrdtbr0(X1) != xk
| ~ aElementOf0(sK50(X0,X1),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aSet0(X1)
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f348]) ).
fof(f348,plain,
! [X0] :
( ! [X1] :
( ( aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| sbrdtbr0(X1) != xk
| ( ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ( ( ~ aElementOf0(sK50(X0,X1),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(sK50(X0,X1),X1) )
| ~ aSet0(X1) ) ) )
& sP0(X1,X0) )
| ~ sP6(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK50])],[f346,f347]) ).
fof(f347,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK50(X0,X1),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(sK50(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f346,plain,
! [X0] :
( ! [X1] :
( ( aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| sbrdtbr0(X1) != xk
| ( ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ( ? [X2] :
( ~ aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X2,X1) )
| ~ aSet0(X1) ) ) )
& sP0(X1,X0) )
| ~ sP6(X0) ),
inference(rectify,[],[f345]) ).
fof(f345,plain,
! [X0] :
( ! [X7] :
( ( aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| xk != sbrdtbr0(X7)
| ( ~ aSubsetOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ( ? [X8] :
( ~ aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X8,X7) )
| ~ aSet0(X7) ) ) )
& sP0(X7,X0) )
| ~ sP6(X0) ),
inference(nnf_transformation,[],[f277]) ).
fof(f277,plain,
! [X0] :
( ! [X7] :
( ( aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| xk != sbrdtbr0(X7)
| ( ~ aSubsetOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ( ? [X8] :
( ~ aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X8,X7) )
| ~ aSet0(X7) ) ) )
& sP0(X7,X0) )
| ~ sP6(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f6826,plain,
spl96_478,
inference(avatar_split_clause,[],[f638,f6824]) ).
fof(f6824,plain,
( spl96_478
<=> ! [X0,X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xd,X0)
| sbrdtbr0(X1) != xk
| ~ aElementOf0(sK52(X0,X1),sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ aSet0(X1)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_478])]) ).
fof(f638,plain,
! [X0,X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xd,X0)
| sbrdtbr0(X1) != xk
| ~ aElementOf0(sK52(X0,X1),sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ aSet0(X1)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f366]) ).
fof(f366,plain,
( ! [X0] :
( ! [X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xd,X0)
| ( ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
& ( sbrdtbr0(X1) != xk
| ( ~ aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ~ aElementOf0(sK52(X0,X1),sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aElementOf0(sK52(X0,X1),X1) ) ) )
| ~ aSet0(X1) )
| ~ aElementOf0(X0,szNzAzT0) )
& szNzAzT0 = szDzozmdt0(xd)
& aFunction0(xd) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK52])],[f140,f365]) ).
fof(f365,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK52(X0,X1),sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aElementOf0(sK52(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f140,plain,
( ! [X0] :
( ! [X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xd,X0)
| ( ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
& ( sbrdtbr0(X1) != xk
| ( ~ aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ? [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aElementOf0(X2,X1) ) ) ) )
| ~ aSet0(X1) )
| ~ aElementOf0(X0,szNzAzT0) )
& szNzAzT0 = szDzozmdt0(xd)
& aFunction0(xd) ),
inference(flattening,[],[f139]) ).
fof(f139,plain,
( ! [X0] :
( ! [X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xd,X0)
| ( ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
& ( sbrdtbr0(X1) != xk
| ( ~ aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ? [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aElementOf0(X2,X1) ) ) ) )
| ~ aSet0(X1) )
| ~ aElementOf0(X0,szNzAzT0) )
& szNzAzT0 = szDzozmdt0(xd)
& aFunction0(xd) ),
inference(ennf_transformation,[],[f92]) ).
fof(f92,axiom,
( ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( ( ( aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
| ( sbrdtbr0(X1) = xk
& ( aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0))) ) ) ) )
& aSet0(X1) )
=> sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xd,X0) ) )
& szNzAzT0 = szDzozmdt0(xd)
& aFunction0(xd) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4730) ).
fof(f6822,plain,
( spl96_477
| ~ spl96_48
| ~ spl96_436 ),
inference(avatar_split_clause,[],[f6126,f5731,f1311,f6819]) ).
fof(f6819,plain,
( spl96_477
<=> sP5(xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_477])]) ).
fof(f5731,plain,
( spl96_436
<=> sP8(xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_436])]) ).
fof(f6126,plain,
( sP5(xp)
| ~ spl96_48
| ~ spl96_436 ),
inference(resolution,[],[f5733,f1312]) ).
fof(f5733,plain,
( sP8(xp)
| ~ spl96_436 ),
inference(avatar_component_clause,[],[f5731]) ).
fof(f6595,plain,
( spl96_476
| ~ spl96_49
| ~ spl96_436 ),
inference(avatar_split_clause,[],[f6125,f5731,f1315,f6592]) ).
fof(f6592,plain,
( spl96_476
<=> sP6(xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_476])]) ).
fof(f6125,plain,
( sP6(xp)
| ~ spl96_49
| ~ spl96_436 ),
inference(resolution,[],[f5733,f1316]) ).
fof(f6558,plain,
spl96_475,
inference(avatar_split_clause,[],[f1002,f6556]) ).
fof(f6556,plain,
( spl96_475
<=> ! [X0,X1] :
( szmzizndt0(X0) = szmzizndt0(X1)
| ~ aElementOf0(szmzizndt0(X1),X0)
| ~ aElementOf0(szmzizndt0(X0),X1)
| slcrc0 = X1
| slcrc0 = X0
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_475])]) ).
fof(f1002,plain,
! [X0,X1] :
( szmzizndt0(X0) = szmzizndt0(X1)
| ~ aElementOf0(szmzizndt0(X1),X0)
| ~ aElementOf0(szmzizndt0(X0),X1)
| slcrc0 = X1
| slcrc0 = X0
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f254]) ).
fof(f254,plain,
! [X0,X1] :
( szmzizndt0(X0) = szmzizndt0(X1)
| ~ aElementOf0(szmzizndt0(X1),X0)
| ~ aElementOf0(szmzizndt0(X0),X1)
| slcrc0 = X1
| slcrc0 = X0
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(flattening,[],[f253]) ).
fof(f253,plain,
! [X0,X1] :
( szmzizndt0(X0) = szmzizndt0(X1)
| ~ aElementOf0(szmzizndt0(X1),X0)
| ~ aElementOf0(szmzizndt0(X0),X1)
| slcrc0 = X1
| slcrc0 = X0
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,axiom,
! [X0,X1] :
( ( slcrc0 != X1
& slcrc0 != X0
& aSubsetOf0(X1,szNzAzT0)
& aSubsetOf0(X0,szNzAzT0) )
=> ( ( aElementOf0(szmzizndt0(X1),X0)
& aElementOf0(szmzizndt0(X0),X1) )
=> szmzizndt0(X0) = szmzizndt0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMinMin) ).
fof(f6554,plain,
spl96_474,
inference(avatar_split_clause,[],[f1000,f6552]) ).
fof(f6552,plain,
( spl96_474
<=> ! [X2,X0,X1] :
( sP46(X0,X1,X2)
| sbrdtbr0(sK95(X0,X1,X2)) != X0
| ~ aSubsetOf0(sK95(X0,X1,X2),X1)
| ~ aElementOf0(sK95(X0,X1,X2),X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_474])]) ).
fof(f1000,plain,
! [X2,X0,X1] :
( sP46(X0,X1,X2)
| sbrdtbr0(sK95(X0,X1,X2)) != X0
| ~ aSubsetOf0(sK95(X0,X1,X2),X1)
| ~ aElementOf0(sK95(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f561]) ).
fof(f561,plain,
! [X0,X1,X2] :
( ( sP46(X0,X1,X2)
| ( ( sbrdtbr0(sK95(X0,X1,X2)) != X0
| ~ aSubsetOf0(sK95(X0,X1,X2),X1)
| ~ aElementOf0(sK95(X0,X1,X2),X2) )
& ( ( sbrdtbr0(sK95(X0,X1,X2)) = X0
& aSubsetOf0(sK95(X0,X1,X2),X1) )
| aElementOf0(sK95(X0,X1,X2),X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| sbrdtbr0(X4) != X0
| ~ aSubsetOf0(X4,X1) )
& ( ( sbrdtbr0(X4) = X0
& aSubsetOf0(X4,X1) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| ~ sP46(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK95])],[f559,f560]) ).
fof(f560,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( sbrdtbr0(X3) != X0
| ~ aSubsetOf0(X3,X1)
| ~ aElementOf0(X3,X2) )
& ( ( sbrdtbr0(X3) = X0
& aSubsetOf0(X3,X1) )
| aElementOf0(X3,X2) ) )
=> ( ( sbrdtbr0(sK95(X0,X1,X2)) != X0
| ~ aSubsetOf0(sK95(X0,X1,X2),X1)
| ~ aElementOf0(sK95(X0,X1,X2),X2) )
& ( ( sbrdtbr0(sK95(X0,X1,X2)) = X0
& aSubsetOf0(sK95(X0,X1,X2),X1) )
| aElementOf0(sK95(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f559,plain,
! [X0,X1,X2] :
( ( sP46(X0,X1,X2)
| ? [X3] :
( ( sbrdtbr0(X3) != X0
| ~ aSubsetOf0(X3,X1)
| ~ aElementOf0(X3,X2) )
& ( ( sbrdtbr0(X3) = X0
& aSubsetOf0(X3,X1) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| sbrdtbr0(X4) != X0
| ~ aSubsetOf0(X4,X1) )
& ( ( sbrdtbr0(X4) = X0
& aSubsetOf0(X4,X1) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| ~ sP46(X0,X1,X2) ) ),
inference(rectify,[],[f558]) ).
fof(f558,plain,
! [X1,X0,X2] :
( ( sP46(X1,X0,X2)
| ? [X3] :
( ( sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0)
| ~ aElementOf0(X3,X2) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| ~ sP46(X1,X0,X2) ) ),
inference(flattening,[],[f557]) ).
fof(f557,plain,
! [X1,X0,X2] :
( ( sP46(X1,X0,X2)
| ? [X3] :
( ( sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0)
| ~ aElementOf0(X3,X2) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| ~ sP46(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f333]) ).
fof(f333,plain,
! [X1,X0,X2] :
( sP46(X1,X0,X2)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) ) )
& aSet0(X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP46])]) ).
fof(f6550,plain,
spl96_473,
inference(avatar_split_clause,[],[f931,f6548]) ).
fof(f6548,plain,
( spl96_473
<=> ! [X2,X0,X1] :
( aSubsetOf0(X1,X2)
| slcrc0 = slbdtsldtrb0(X1,X0)
| ~ aSubsetOf0(slbdtsldtrb0(X1,X0),slbdtsldtrb0(X2,X0))
| sz00 = X0
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_473])]) ).
fof(f931,plain,
! [X2,X0,X1] :
( aSubsetOf0(X1,X2)
| slcrc0 = slbdtsldtrb0(X1,X0)
| ~ aSubsetOf0(slbdtsldtrb0(X1,X0),slbdtsldtrb0(X2,X0))
| sz00 = X0
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f213]) ).
fof(f213,plain,
! [X0] :
( ! [X1,X2] :
( aSubsetOf0(X1,X2)
| slcrc0 = slbdtsldtrb0(X1,X0)
| ~ aSubsetOf0(slbdtsldtrb0(X1,X0),slbdtsldtrb0(X2,X0))
| sz00 = X0
| ~ aSet0(X2)
| ~ aSet0(X1) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f212]) ).
fof(f212,plain,
! [X0] :
( ! [X1,X2] :
( aSubsetOf0(X1,X2)
| slcrc0 = slbdtsldtrb0(X1,X0)
| ~ aSubsetOf0(slbdtsldtrb0(X1,X0),slbdtsldtrb0(X2,X0))
| sz00 = X0
| ~ aSet0(X2)
| ~ aSet0(X1) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1,X2] :
( ( sz00 != X0
& aSet0(X2)
& aSet0(X1) )
=> ( ( slcrc0 != slbdtsldtrb0(X1,X0)
& aSubsetOf0(slbdtsldtrb0(X1,X0),slbdtsldtrb0(X2,X0)) )
=> aSubsetOf0(X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSelSub) ).
fof(f6546,plain,
spl96_472,
inference(avatar_split_clause,[],[f840,f6544]) ).
fof(f6544,plain,
( spl96_472
<=> ! [X0,X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X1
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElement0(X1)
| ~ sP31(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_472])]) ).
fof(f840,plain,
! [X0,X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X1
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElement0(X1)
| ~ sP31(X0) ),
inference(cnf_transformation,[],[f469]) ).
fof(f469,plain,
! [X0] :
( ! [X1] :
( ( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X1
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElement0(X1) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X1
& aElementOf0(X1,sdtlpdtrp0(xN,X0))
& aElement0(X1) )
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| ~ sP31(X0) ),
inference(rectify,[],[f468]) ).
fof(f468,plain,
! [X0] :
( ! [X6] :
( ( aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X6
| ~ aElementOf0(X6,sdtlpdtrp0(xN,X0))
| ~ aElement0(X6) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X6
& aElementOf0(X6,sdtlpdtrp0(xN,X0))
& aElement0(X6) )
| ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| ~ sP31(X0) ),
inference(flattening,[],[f467]) ).
fof(f467,plain,
! [X0] :
( ! [X6] :
( ( aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X6
| ~ aElementOf0(X6,sdtlpdtrp0(xN,X0))
| ~ aElement0(X6) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X6
& aElementOf0(X6,sdtlpdtrp0(xN,X0))
& aElement0(X6) )
| ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| ~ sP31(X0) ),
inference(nnf_transformation,[],[f309]) ).
fof(f309,plain,
! [X0] :
( ! [X6] :
( aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X6
& aElementOf0(X6,sdtlpdtrp0(xN,X0))
& aElement0(X6) ) )
| ~ sP31(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f6542,plain,
spl96_471,
inference(avatar_split_clause,[],[f813,f6540]) ).
fof(f6540,plain,
( spl96_471
<=> ! [X0,X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X1
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElement0(X1)
| ~ sP25(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_471])]) ).
fof(f813,plain,
! [X0,X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X1
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElement0(X1)
| ~ sP25(X0) ),
inference(cnf_transformation,[],[f449]) ).
fof(f449,plain,
! [X0] :
( ! [X1] :
( ( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X1
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElement0(X1) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X1
& aElementOf0(X1,sdtlpdtrp0(xN,X0))
& aElement0(X1) )
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| ~ sP25(X0) ),
inference(rectify,[],[f448]) ).
fof(f448,plain,
! [X0] :
( ! [X3] :
( ( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X3
| ~ aElementOf0(X3,sdtlpdtrp0(xN,X0))
| ~ aElement0(X3) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) )
| ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| ~ sP25(X0) ),
inference(flattening,[],[f447]) ).
fof(f447,plain,
! [X0] :
( ! [X3] :
( ( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X3
| ~ aElementOf0(X3,sdtlpdtrp0(xN,X0))
| ~ aElement0(X3) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) )
| ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| ~ sP25(X0) ),
inference(nnf_transformation,[],[f301]) ).
fof(f301,plain,
! [X0] :
( ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
| ~ sP25(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f6538,plain,
spl96_470,
inference(avatar_split_clause,[],[f807,f6536]) ).
fof(f6536,plain,
( spl96_470
<=> ! [X0,X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X1
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElement0(X1)
| ~ sP27(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_470])]) ).
fof(f807,plain,
! [X0,X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X1
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElement0(X1)
| ~ sP27(X0) ),
inference(cnf_transformation,[],[f442]) ).
fof(f442,plain,
! [X0] :
( ! [X1] :
( ( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X1
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElement0(X1) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X1
& aElementOf0(X1,sdtlpdtrp0(xN,X0))
& aElement0(X1) )
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| ~ sP27(X0) ),
inference(rectify,[],[f441]) ).
fof(f441,plain,
! [X0] :
( ! [X8] :
( ( aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X8
| ~ aElementOf0(X8,sdtlpdtrp0(xN,X0))
| ~ aElement0(X8) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X8
& aElementOf0(X8,sdtlpdtrp0(xN,X0))
& aElement0(X8) )
| ~ aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| ~ sP27(X0) ),
inference(flattening,[],[f440]) ).
fof(f440,plain,
! [X0] :
( ! [X8] :
( ( aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X8
| ~ aElementOf0(X8,sdtlpdtrp0(xN,X0))
| ~ aElement0(X8) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X8
& aElementOf0(X8,sdtlpdtrp0(xN,X0))
& aElement0(X8) )
| ~ aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| ~ sP27(X0) ),
inference(nnf_transformation,[],[f303]) ).
fof(f303,plain,
! [X0] :
( ! [X8] :
( aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X8
& aElementOf0(X8,sdtlpdtrp0(xN,X0))
& aElement0(X8) ) )
| ~ sP27(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f6534,plain,
spl96_469,
inference(avatar_split_clause,[],[f782,f6532]) ).
fof(f6532,plain,
( spl96_469
<=> ! [X2,X0,X1] :
( sP17(X2,sK64(X0,X1,X2),X1,X0)
| sbrdtbr0(sK64(X0,X1,X2)) != X1
| ~ aSubsetOf0(sK64(X0,X1,X2),X0)
| ~ sP18(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_469])]) ).
fof(f782,plain,
! [X2,X0,X1] :
( sP17(X2,sK64(X0,X1,X2),X1,X0)
| sbrdtbr0(sK64(X0,X1,X2)) != X1
| ~ aSubsetOf0(sK64(X0,X1,X2),X0)
| ~ sP18(X0,X1,X2) ),
inference(cnf_transformation,[],[f432]) ).
fof(f6530,plain,
spl96_468,
inference(avatar_split_clause,[],[f755,f6528]) ).
fof(f6528,plain,
( spl96_468
<=> ! [X0,X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X1
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElement0(X1)
| ~ sP12(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_468])]) ).
fof(f755,plain,
! [X0,X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X1
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElement0(X1)
| ~ sP12(X0) ),
inference(cnf_transformation,[],[f405]) ).
fof(f405,plain,
! [X0] :
( ! [X1] :
( ( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X1
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElement0(X1) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X1
& aElementOf0(X1,sdtlpdtrp0(xN,X0))
& aElement0(X1) )
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| ~ sP12(X0) ),
inference(rectify,[],[f404]) ).
fof(f404,plain,
! [X0] :
( ! [X3] :
( ( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X3
| ~ aElementOf0(X3,sdtlpdtrp0(xN,X0))
| ~ aElement0(X3) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) )
| ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| ~ sP12(X0) ),
inference(flattening,[],[f403]) ).
fof(f403,plain,
! [X0] :
( ! [X3] :
( ( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X3
| ~ aElementOf0(X3,sdtlpdtrp0(xN,X0))
| ~ aElement0(X3) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) )
| ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| ~ sP12(X0) ),
inference(nnf_transformation,[],[f286]) ).
fof(f286,plain,
! [X0] :
( ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
| ~ sP12(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f6526,plain,
spl96_467,
inference(avatar_split_clause,[],[f652,f6524]) ).
fof(f6524,plain,
( spl96_467
<=> ! [X0,X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X1
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElement0(X1)
| ~ sP9(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_467])]) ).
fof(f652,plain,
! [X0,X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X1
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElement0(X1)
| ~ sP9(X0) ),
inference(cnf_transformation,[],[f371]) ).
fof(f371,plain,
! [X0] :
( ! [X1] :
( ( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X1
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElement0(X1) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X1
& aElementOf0(X1,sdtlpdtrp0(xN,X0))
& aElement0(X1) )
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| ~ sP9(X0) ),
inference(rectify,[],[f370]) ).
fof(f370,plain,
! [X0] :
( ! [X3] :
( ( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X3
| ~ aElementOf0(X3,sdtlpdtrp0(xN,X0))
| ~ aElement0(X3) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) )
| ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| ~ sP9(X0) ),
inference(flattening,[],[f369]) ).
fof(f369,plain,
! [X0] :
( ! [X3] :
( ( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X3
| ~ aElementOf0(X3,sdtlpdtrp0(xN,X0))
| ~ aElement0(X3) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) )
| ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| ~ sP9(X0) ),
inference(nnf_transformation,[],[f281]) ).
fof(f281,plain,
! [X0] :
( ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
| ~ sP9(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f6522,plain,
( spl96_466
| ~ spl96_50
| ~ spl96_436 ),
inference(avatar_split_clause,[],[f6124,f5731,f1319,f6519]) ).
fof(f6519,plain,
( spl96_466
<=> sP7(xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_466])]) ).
fof(f6124,plain,
( sP7(xp)
| ~ spl96_50
| ~ spl96_436 ),
inference(resolution,[],[f5733,f1320]) ).
fof(f6517,plain,
spl96_465,
inference(avatar_split_clause,[],[f627,f6515]) ).
fof(f6515,plain,
( spl96_465
<=> ! [X0,X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X1
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElement0(X1)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_465])]) ).
fof(f627,plain,
! [X0,X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X1
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElement0(X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f362]) ).
fof(f362,plain,
! [X0] :
( ! [X1] :
( ( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X1
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElement0(X1) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X1
& aElementOf0(X1,sdtlpdtrp0(xN,X0))
& aElement0(X1) )
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| ~ sP1(X0) ),
inference(rectify,[],[f361]) ).
fof(f361,plain,
! [X0] :
( ! [X3] :
( ( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X3
| ~ aElementOf0(X3,sdtlpdtrp0(xN,X0))
| ~ aElement0(X3) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) )
| ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| ~ sP1(X0) ),
inference(flattening,[],[f360]) ).
fof(f360,plain,
! [X0] :
( ! [X3] :
( ( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X3
| ~ aElementOf0(X3,sdtlpdtrp0(xN,X0))
| ~ aElement0(X3) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) )
| ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f272]) ).
fof(f272,plain,
! [X0] :
( ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f6513,plain,
spl96_464,
inference(avatar_split_clause,[],[f610,f6511]) ).
fof(f6511,plain,
( spl96_464
<=> ! [X0,X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X1
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElement0(X1)
| ~ sP5(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_464])]) ).
fof(f610,plain,
! [X0,X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X1
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElement0(X1)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f351]) ).
fof(f351,plain,
! [X0] :
( ! [X1] :
( ( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X1
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElement0(X1) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X1
& aElementOf0(X1,sdtlpdtrp0(xN,X0))
& aElement0(X1) )
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| ~ sP5(X0) ),
inference(rectify,[],[f350]) ).
fof(f350,plain,
! [X0] :
( ! [X10] :
( ( aElementOf0(X10,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X10
| ~ aElementOf0(X10,sdtlpdtrp0(xN,X0))
| ~ aElement0(X10) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X10
& aElementOf0(X10,sdtlpdtrp0(xN,X0))
& aElement0(X10) )
| ~ aElementOf0(X10,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| ~ sP5(X0) ),
inference(flattening,[],[f349]) ).
fof(f349,plain,
! [X0] :
( ! [X10] :
( ( aElementOf0(X10,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X10
| ~ aElementOf0(X10,sdtlpdtrp0(xN,X0))
| ~ aElement0(X10) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X10
& aElementOf0(X10,sdtlpdtrp0(xN,X0))
& aElement0(X10) )
| ~ aElementOf0(X10,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| ~ sP5(X0) ),
inference(nnf_transformation,[],[f276]) ).
fof(f276,plain,
! [X0] :
( ! [X10] :
( aElementOf0(X10,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X10
& aElementOf0(X10,sdtlpdtrp0(xN,X0))
& aElement0(X10) ) )
| ~ sP5(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f6506,plain,
spl96_463,
inference(avatar_split_clause,[],[f819,f6504]) ).
fof(f6504,plain,
( spl96_463
<=> ! [X2,X0,X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = X0
| sbrdtbr0(X2) != xk
| ~ aElementOf0(sK69(X1,X2),sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ aSet0(X2)
| ~ sP30(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_463])]) ).
fof(f819,plain,
! [X2,X0,X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = X0
| sbrdtbr0(X2) != xk
| ~ aElementOf0(sK69(X1,X2),sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ aSet0(X2)
| ~ sP30(X0,X1) ),
inference(cnf_transformation,[],[f456]) ).
fof(f456,plain,
! [X0,X1] :
( ! [X2] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = X0
| ( ~ aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),xk))
& ( sbrdtbr0(X2) != xk
| ( ~ aSubsetOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
& ~ aElementOf0(sK69(X1,X2),sdtlpdtrp0(xN,szszuzczcdt0(X1)))
& aElementOf0(sK69(X1,X2),X2) ) ) )
| ~ aSet0(X2) )
| ~ sP30(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK69])],[f454,f455]) ).
fof(f455,plain,
! [X1,X2] :
( ? [X3] :
( ~ aElementOf0(X3,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
& aElementOf0(X3,X2) )
=> ( ~ aElementOf0(sK69(X1,X2),sdtlpdtrp0(xN,szszuzczcdt0(X1)))
& aElementOf0(sK69(X1,X2),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f454,plain,
! [X0,X1] :
( ! [X2] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = X0
| ( ~ aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),xk))
& ( sbrdtbr0(X2) != xk
| ( ~ aSubsetOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
& ? [X3] :
( ~ aElementOf0(X3,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
& aElementOf0(X3,X2) ) ) ) )
| ~ aSet0(X2) )
| ~ sP30(X0,X1) ),
inference(rectify,[],[f453]) ).
fof(f453,plain,
! [X1,X0] :
( ! [X2] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) = X1
| ( ~ aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
& ( sbrdtbr0(X2) != xk
| ( ~ aSubsetOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ? [X3] :
( ~ aElementOf0(X3,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aElementOf0(X3,X2) ) ) ) )
| ~ aSet0(X2) )
| ~ sP30(X1,X0) ),
inference(nnf_transformation,[],[f307]) ).
fof(f307,plain,
! [X1,X0] :
( ! [X2] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) = X1
| ( ~ aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
& ( sbrdtbr0(X2) != xk
| ( ~ aSubsetOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ? [X3] :
( ~ aElementOf0(X3,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aElementOf0(X3,X2) ) ) ) )
| ~ aSet0(X2) )
| ~ sP30(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f6502,plain,
spl96_462,
inference(avatar_split_clause,[],[f760,f6500]) ).
fof(f6500,plain,
( spl96_462
<=> ! [X2,X0,X1] :
( sP22(X1,X2,sK59(X0,X1,X2),X0)
| ~ iLess0(X1,xK)
| sP23(X2)
| slbdtsldtrb0(X0,X1) != szDzozmdt0(X2)
| ~ aFunction0(X2)
| ~ sP24(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_462])]) ).
fof(f760,plain,
! [X2,X0,X1] :
( sP22(X1,X2,sK59(X0,X1,X2),X0)
| ~ iLess0(X1,xK)
| sP23(X2)
| slbdtsldtrb0(X0,X1) != szDzozmdt0(X2)
| ~ aFunction0(X2)
| ~ sP24(X0,X1) ),
inference(cnf_transformation,[],[f409]) ).
fof(f409,plain,
! [X0,X1] :
( ! [X2] :
( ( sP22(X1,X2,sK59(X0,X1,X2),X0)
& aElementOf0(sK59(X0,X1,X2),xT) )
| ~ iLess0(X1,xK)
| sP23(X2)
| ( slbdtsldtrb0(X0,X1) != szDzozmdt0(X2)
& sP18(X0,X1,X2) )
| ~ aFunction0(X2) )
| ~ sP24(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK59])],[f407,f408]) ).
fof(f408,plain,
! [X0,X1,X2] :
( ? [X3] :
( sP22(X1,X2,X3,X0)
& aElementOf0(X3,xT) )
=> ( sP22(X1,X2,sK59(X0,X1,X2),X0)
& aElementOf0(sK59(X0,X1,X2),xT) ) ),
introduced(choice_axiom,[]) ).
fof(f407,plain,
! [X0,X1] :
( ! [X2] :
( ? [X3] :
( sP22(X1,X2,X3,X0)
& aElementOf0(X3,xT) )
| ~ iLess0(X1,xK)
| sP23(X2)
| ( slbdtsldtrb0(X0,X1) != szDzozmdt0(X2)
& sP18(X0,X1,X2) )
| ~ aFunction0(X2) )
| ~ sP24(X0,X1) ),
inference(rectify,[],[f406]) ).
fof(f406,plain,
! [X1,X0] :
( ! [X3] :
( ? [X10] :
( sP22(X0,X3,X10,X1)
& aElementOf0(X10,xT) )
| ~ iLess0(X0,xK)
| sP23(X3)
| ( slbdtsldtrb0(X1,X0) != szDzozmdt0(X3)
& sP18(X1,X0,X3) )
| ~ aFunction0(X3) )
| ~ sP24(X1,X0) ),
inference(nnf_transformation,[],[f299]) ).
fof(f299,plain,
! [X1,X0] :
( ! [X3] :
( ? [X10] :
( sP22(X0,X3,X10,X1)
& aElementOf0(X10,xT) )
| ~ iLess0(X0,xK)
| sP23(X3)
| ( slbdtsldtrb0(X1,X0) != szDzozmdt0(X3)
& sP18(X1,X0,X3) )
| ~ aFunction0(X3) )
| ~ sP24(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f6496,plain,
spl96_461,
inference(avatar_split_clause,[],[f639,f6494]) ).
fof(f6494,plain,
( spl96_461
<=> ! [X0,X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xd,X0)
| sbrdtbr0(X1) != xk
| ~ aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ aSet0(X1)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_461])]) ).
fof(f639,plain,
! [X0,X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xd,X0)
| sbrdtbr0(X1) != xk
| ~ aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ aSet0(X1)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f366]) ).
fof(f6398,plain,
spl96_460,
inference(avatar_split_clause,[],[f887,f6396]) ).
fof(f6396,plain,
( spl96_460
<=> ! [X4,X0,X2,X1] :
( sP38(X0,X1,X2)
| sdtlpdtrp0(X0,X4) != sK78(X0,X1,X2)
| ~ aElementOf0(X4,X1)
| ~ aElementOf0(sK78(X0,X1,X2),X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_460])]) ).
fof(f887,plain,
! [X2,X0,X1,X4] :
( sP38(X0,X1,X2)
| sdtlpdtrp0(X0,X4) != sK78(X0,X1,X2)
| ~ aElementOf0(X4,X1)
| ~ aElementOf0(sK78(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f497]) ).
fof(f497,plain,
! [X0,X1,X2] :
( ( sP38(X0,X1,X2)
| ( ( ! [X4] :
( sdtlpdtrp0(X0,X4) != sK78(X0,X1,X2)
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(sK78(X0,X1,X2),X2) )
& ( ( sK78(X0,X1,X2) = sdtlpdtrp0(X0,sK79(X0,X1,X2))
& aElementOf0(sK79(X0,X1,X2),X1) )
| aElementOf0(sK78(X0,X1,X2),X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X6] :
( ( aElementOf0(X6,X2)
| ! [X7] :
( sdtlpdtrp0(X0,X7) != X6
| ~ aElementOf0(X7,X1) ) )
& ( ( sdtlpdtrp0(X0,sK80(X0,X1,X6)) = X6
& aElementOf0(sK80(X0,X1,X6),X1) )
| ~ aElementOf0(X6,X2) ) )
& aSet0(X2) )
| ~ sP38(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK78,sK79,sK80])],[f493,f496,f495,f494]) ).
fof(f494,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ! [X4] :
( sdtlpdtrp0(X0,X4) != X3
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(X3,X2) )
& ( ? [X5] :
( sdtlpdtrp0(X0,X5) = X3
& aElementOf0(X5,X1) )
| aElementOf0(X3,X2) ) )
=> ( ( ! [X4] :
( sdtlpdtrp0(X0,X4) != sK78(X0,X1,X2)
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(sK78(X0,X1,X2),X2) )
& ( ? [X5] :
( sdtlpdtrp0(X0,X5) = sK78(X0,X1,X2)
& aElementOf0(X5,X1) )
| aElementOf0(sK78(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f495,plain,
! [X0,X1,X2] :
( ? [X5] :
( sdtlpdtrp0(X0,X5) = sK78(X0,X1,X2)
& aElementOf0(X5,X1) )
=> ( sK78(X0,X1,X2) = sdtlpdtrp0(X0,sK79(X0,X1,X2))
& aElementOf0(sK79(X0,X1,X2),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f496,plain,
! [X0,X1,X6] :
( ? [X8] :
( sdtlpdtrp0(X0,X8) = X6
& aElementOf0(X8,X1) )
=> ( sdtlpdtrp0(X0,sK80(X0,X1,X6)) = X6
& aElementOf0(sK80(X0,X1,X6),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f493,plain,
! [X0,X1,X2] :
( ( sP38(X0,X1,X2)
| ? [X3] :
( ( ! [X4] :
( sdtlpdtrp0(X0,X4) != X3
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(X3,X2) )
& ( ? [X5] :
( sdtlpdtrp0(X0,X5) = X3
& aElementOf0(X5,X1) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X6] :
( ( aElementOf0(X6,X2)
| ! [X7] :
( sdtlpdtrp0(X0,X7) != X6
| ~ aElementOf0(X7,X1) ) )
& ( ? [X8] :
( sdtlpdtrp0(X0,X8) = X6
& aElementOf0(X8,X1) )
| ~ aElementOf0(X6,X2) ) )
& aSet0(X2) )
| ~ sP38(X0,X1,X2) ) ),
inference(rectify,[],[f492]) ).
fof(f492,plain,
! [X0,X1,X2] :
( ( sP38(X0,X1,X2)
| ? [X3] :
( ( ! [X4] :
( sdtlpdtrp0(X0,X4) != X3
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(X3,X2) )
& ( ? [X4] :
( sdtlpdtrp0(X0,X4) = X3
& aElementOf0(X4,X1) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| ! [X4] :
( sdtlpdtrp0(X0,X4) != X3
| ~ aElementOf0(X4,X1) ) )
& ( ? [X4] :
( sdtlpdtrp0(X0,X4) = X3
& aElementOf0(X4,X1) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| ~ sP38(X0,X1,X2) ) ),
inference(flattening,[],[f491]) ).
fof(f491,plain,
! [X0,X1,X2] :
( ( sP38(X0,X1,X2)
| ? [X3] :
( ( ! [X4] :
( sdtlpdtrp0(X0,X4) != X3
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(X3,X2) )
& ( ? [X4] :
( sdtlpdtrp0(X0,X4) = X3
& aElementOf0(X4,X1) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| ! [X4] :
( sdtlpdtrp0(X0,X4) != X3
| ~ aElementOf0(X4,X1) ) )
& ( ? [X4] :
( sdtlpdtrp0(X0,X4) = X3
& aElementOf0(X4,X1) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| ~ sP38(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f320]) ).
fof(f320,plain,
! [X0,X1,X2] :
( sP38(X0,X1,X2)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4] :
( sdtlpdtrp0(X0,X4) = X3
& aElementOf0(X4,X1) ) )
& aSet0(X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f6394,plain,
spl96_459,
inference(avatar_split_clause,[],[f886,f6392]) ).
fof(f6392,plain,
( spl96_459
<=> ! [X2,X0,X1] :
( sP38(X0,X1,X2)
| sK78(X0,X1,X2) = sdtlpdtrp0(X0,sK79(X0,X1,X2))
| aElementOf0(sK78(X0,X1,X2),X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_459])]) ).
fof(f886,plain,
! [X2,X0,X1] :
( sP38(X0,X1,X2)
| sK78(X0,X1,X2) = sdtlpdtrp0(X0,sK79(X0,X1,X2))
| aElementOf0(sK78(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f497]) ).
fof(f6388,plain,
spl96_458,
inference(avatar_split_clause,[],[f637,f6386]) ).
fof(f6386,plain,
( spl96_458
<=> ! [X0,X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xd,X0)
| sbrdtbr0(X1) != xk
| aElementOf0(sK52(X0,X1),X1)
| ~ aSet0(X1)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_458])]) ).
fof(f637,plain,
! [X0,X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xd,X0)
| sbrdtbr0(X1) != xk
| aElementOf0(sK52(X0,X1),X1)
| ~ aSet0(X1)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f366]) ).
fof(f6151,plain,
spl96_457,
inference(avatar_split_clause,[],[f1035,f6149]) ).
fof(f1035,plain,
! [X0,X1] :
( sP36(X0,X1,szDzozmdt0(X0))
| sdtlpdtrp0(X0,sK77(X0,X1,szDzozmdt0(X0))) != sdtlpdtrp0(X1,sK77(X0,X1,szDzozmdt0(X0)))
| ~ aFunction0(X0) ),
inference(equality_resolution,[],[f877]) ).
fof(f877,plain,
! [X2,X0,X1] :
( sP36(X0,X1,X2)
| sdtlpdtrp0(X0,sK77(X0,X1,X2)) != sdtlpdtrp0(X1,sK77(X0,X1,X2))
| szDzozmdt0(X0) != X2
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f488]) ).
fof(f488,plain,
! [X0,X1,X2] :
( ( sP36(X0,X1,X2)
| ( sdtlpdtrp0(X0,sK77(X0,X1,X2)) != sdtlpdtrp0(X1,sK77(X0,X1,X2))
& aElementOf0(sK77(X0,X1,X2),X2) )
| szDzozmdt0(X0) != X2
| ~ aFunction0(X0) )
& ( ( ! [X4] :
( sdtlpdtrp0(X0,X4) = sdtlpdtrp0(X1,X4)
| ~ aElementOf0(X4,X2) )
& szDzozmdt0(X0) = X2
& aFunction0(X0) )
| ~ sP36(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK77])],[f486,f487]) ).
fof(f487,plain,
! [X0,X1,X2] :
( ? [X3] :
( sdtlpdtrp0(X0,X3) != sdtlpdtrp0(X1,X3)
& aElementOf0(X3,X2) )
=> ( sdtlpdtrp0(X0,sK77(X0,X1,X2)) != sdtlpdtrp0(X1,sK77(X0,X1,X2))
& aElementOf0(sK77(X0,X1,X2),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f486,plain,
! [X0,X1,X2] :
( ( sP36(X0,X1,X2)
| ? [X3] :
( sdtlpdtrp0(X0,X3) != sdtlpdtrp0(X1,X3)
& aElementOf0(X3,X2) )
| szDzozmdt0(X0) != X2
| ~ aFunction0(X0) )
& ( ( ! [X4] :
( sdtlpdtrp0(X0,X4) = sdtlpdtrp0(X1,X4)
| ~ aElementOf0(X4,X2) )
& szDzozmdt0(X0) = X2
& aFunction0(X0) )
| ~ sP36(X0,X1,X2) ) ),
inference(rectify,[],[f485]) ).
fof(f485,plain,
! [X2,X0,X1] :
( ( sP36(X2,X0,X1)
| ? [X3] :
( sdtlpdtrp0(X0,X3) != sdtlpdtrp0(X2,X3)
& aElementOf0(X3,X1) )
| szDzozmdt0(X2) != X1
| ~ aFunction0(X2) )
& ( ( ! [X3] :
( sdtlpdtrp0(X0,X3) = sdtlpdtrp0(X2,X3)
| ~ aElementOf0(X3,X1) )
& szDzozmdt0(X2) = X1
& aFunction0(X2) )
| ~ sP36(X2,X0,X1) ) ),
inference(flattening,[],[f484]) ).
fof(f484,plain,
! [X2,X0,X1] :
( ( sP36(X2,X0,X1)
| ? [X3] :
( sdtlpdtrp0(X0,X3) != sdtlpdtrp0(X2,X3)
& aElementOf0(X3,X1) )
| szDzozmdt0(X2) != X1
| ~ aFunction0(X2) )
& ( ( ! [X3] :
( sdtlpdtrp0(X0,X3) = sdtlpdtrp0(X2,X3)
| ~ aElementOf0(X3,X1) )
& szDzozmdt0(X2) = X1
& aFunction0(X2) )
| ~ sP36(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f317]) ).
fof(f317,plain,
! [X2,X0,X1] :
( sP36(X2,X0,X1)
<=> ( ! [X3] :
( sdtlpdtrp0(X0,X3) = sdtlpdtrp0(X2,X3)
| ~ aElementOf0(X3,X1) )
& szDzozmdt0(X2) = X1
& aFunction0(X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f6147,plain,
spl96_456,
inference(avatar_split_clause,[],[f1023,f6145]) ).
fof(f6145,plain,
( spl96_456
<=> ! [X2,X0] :
( aElementOf0(sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2),sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
| ~ aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| ~ sP11(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_456])]) ).
fof(f1023,plain,
! [X2,X0] :
( aElementOf0(sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2),sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
| ~ aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| ~ sP11(X0) ),
inference(equality_resolution,[],[f726]) ).
fof(f726,plain,
! [X2,X0,X1] :
( aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
| sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) != X1
| ~ aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| ~ sP11(X0) ),
inference(cnf_transformation,[],[f392]) ).
fof(f392,plain,
! [X0] :
( ! [X1] :
( ( aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
| ! [X2] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) != X1
| ~ aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X0))) ) )
& ( ( sdtlpdtrp0(sdtlpdtrp0(xC,X0),sK57(X0,X1)) = X1
& aElementOf0(sK57(X0,X1),szDzozmdt0(sdtlpdtrp0(xC,X0))) )
| ~ aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0)))) ) )
| ~ sP11(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK57])],[f390,f391]) ).
fof(f391,plain,
! [X0,X1] :
( ? [X3] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X3) = X1
& aElementOf0(X3,szDzozmdt0(sdtlpdtrp0(xC,X0))) )
=> ( sdtlpdtrp0(sdtlpdtrp0(xC,X0),sK57(X0,X1)) = X1
& aElementOf0(sK57(X0,X1),szDzozmdt0(sdtlpdtrp0(xC,X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f390,plain,
! [X0] :
( ! [X1] :
( ( aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
| ! [X2] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) != X1
| ~ aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X0))) ) )
& ( ? [X3] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X3) = X1
& aElementOf0(X3,szDzozmdt0(sdtlpdtrp0(xC,X0))) )
| ~ aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0)))) ) )
| ~ sP11(X0) ),
inference(rectify,[],[f389]) ).
fof(f389,plain,
! [X0] :
( ! [X2] :
( ( aElementOf0(X2,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
| ! [X3] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X3) != X2
| ~ aElementOf0(X3,szDzozmdt0(sdtlpdtrp0(xC,X0))) ) )
& ( ? [X3] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X3) = X2
& aElementOf0(X3,szDzozmdt0(sdtlpdtrp0(xC,X0))) )
| ~ aElementOf0(X2,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0)))) ) )
| ~ sP11(X0) ),
inference(nnf_transformation,[],[f284]) ).
fof(f284,plain,
! [X0] :
( ! [X2] :
( aElementOf0(X2,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
<=> ? [X3] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X3) = X2
& aElementOf0(X3,szDzozmdt0(sdtlpdtrp0(xC,X0))) ) )
| ~ sP11(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f6143,plain,
spl96_455,
inference(avatar_split_clause,[],[f969,f6141]) ).
fof(f6141,plain,
( spl96_455
<=> ! [X2,X0,X1] :
( sP44(X0,X1,X2)
| sK91(X0,X1,X2) = X0
| aElementOf0(sK91(X0,X1,X2),X1)
| aElementOf0(sK91(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_455])]) ).
fof(f969,plain,
! [X2,X0,X1] :
( sP44(X0,X1,X2)
| sK91(X0,X1,X2) = X0
| aElementOf0(sK91(X0,X1,X2),X1)
| aElementOf0(sK91(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f542]) ).
fof(f542,plain,
! [X0,X1,X2] :
( ( sP44(X0,X1,X2)
| ( ( ( sK91(X0,X1,X2) != X0
& ~ aElementOf0(sK91(X0,X1,X2),X1) )
| ~ aElement0(sK91(X0,X1,X2))
| ~ aElementOf0(sK91(X0,X1,X2),X2) )
& ( ( ( sK91(X0,X1,X2) = X0
| aElementOf0(sK91(X0,X1,X2),X1) )
& aElement0(sK91(X0,X1,X2)) )
| aElementOf0(sK91(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( aElementOf0(X4,X2)
| ( X0 != X4
& ~ aElementOf0(X4,X1) )
| ~ aElement0(X4) )
& ( ( ( X0 = X4
| aElementOf0(X4,X1) )
& aElement0(X4) )
| ~ aElementOf0(X4,X2) ) )
| ~ sP44(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK91])],[f540,f541]) ).
fof(f541,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ( X0 != X3
& ~ aElementOf0(X3,X1) )
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( ( X0 = X3
| aElementOf0(X3,X1) )
& aElement0(X3) )
| aElementOf0(X3,X2) ) )
=> ( ( ( sK91(X0,X1,X2) != X0
& ~ aElementOf0(sK91(X0,X1,X2),X1) )
| ~ aElement0(sK91(X0,X1,X2))
| ~ aElementOf0(sK91(X0,X1,X2),X2) )
& ( ( ( sK91(X0,X1,X2) = X0
| aElementOf0(sK91(X0,X1,X2),X1) )
& aElement0(sK91(X0,X1,X2)) )
| aElementOf0(sK91(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f540,plain,
! [X0,X1,X2] :
( ( sP44(X0,X1,X2)
| ? [X3] :
( ( ( X0 != X3
& ~ aElementOf0(X3,X1) )
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( ( X0 = X3
| aElementOf0(X3,X1) )
& aElement0(X3) )
| aElementOf0(X3,X2) ) ) )
& ( ! [X4] :
( ( aElementOf0(X4,X2)
| ( X0 != X4
& ~ aElementOf0(X4,X1) )
| ~ aElement0(X4) )
& ( ( ( X0 = X4
| aElementOf0(X4,X1) )
& aElement0(X4) )
| ~ aElementOf0(X4,X2) ) )
| ~ sP44(X0,X1,X2) ) ),
inference(rectify,[],[f539]) ).
fof(f539,plain,
! [X1,X0,X2] :
( ( sP44(X1,X0,X2)
| ? [X3] :
( ( ( X1 != X3
& ~ aElementOf0(X3,X0) )
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) )
| aElementOf0(X3,X2) ) ) )
& ( ! [X3] :
( ( aElementOf0(X3,X2)
| ( X1 != X3
& ~ aElementOf0(X3,X0) )
| ~ aElement0(X3) )
& ( ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) )
| ~ aElementOf0(X3,X2) ) )
| ~ sP44(X1,X0,X2) ) ),
inference(flattening,[],[f538]) ).
fof(f538,plain,
! [X1,X0,X2] :
( ( sP44(X1,X0,X2)
| ? [X3] :
( ( ( X1 != X3
& ~ aElementOf0(X3,X0) )
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) )
| aElementOf0(X3,X2) ) ) )
& ( ! [X3] :
( ( aElementOf0(X3,X2)
| ( X1 != X3
& ~ aElementOf0(X3,X0) )
| ~ aElement0(X3) )
& ( ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) )
| ~ aElementOf0(X3,X2) ) )
| ~ sP44(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f329]) ).
fof(f329,plain,
! [X1,X0,X2] :
( sP44(X1,X0,X2)
<=> ! [X3] :
( aElementOf0(X3,X2)
<=> ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP44])]) ).
fof(f6139,plain,
spl96_454,
inference(avatar_split_clause,[],[f834,f6137]) ).
fof(f6137,plain,
( spl96_454
<=> ! [X0,X3,X2,X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X1),X3) = X0
| sbrdtbr0(X3) != xk
| ~ aElementOf0(sK72(X2,X3),X2)
| ~ aSet0(X3)
| ~ sP32(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_454])]) ).
fof(f834,plain,
! [X2,X3,X0,X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X1),X3) = X0
| sbrdtbr0(X3) != xk
| ~ aElementOf0(sK72(X2,X3),X2)
| ~ aSet0(X3)
| ~ sP32(X0,X1,X2) ),
inference(cnf_transformation,[],[f466]) ).
fof(f466,plain,
! [X0,X1,X2] :
( ! [X3] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X1),X3) = X0
| ( ~ aElementOf0(X3,slbdtsldtrb0(X2,xk))
& ( sbrdtbr0(X3) != xk
| ( ~ aSubsetOf0(X3,X2)
& ~ aElementOf0(sK72(X2,X3),X2)
& aElementOf0(sK72(X2,X3),X3) ) ) )
| ~ aSet0(X3) )
| ~ sP32(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK72])],[f464,f465]) ).
fof(f465,plain,
! [X2,X3] :
( ? [X4] :
( ~ aElementOf0(X4,X2)
& aElementOf0(X4,X3) )
=> ( ~ aElementOf0(sK72(X2,X3),X2)
& aElementOf0(sK72(X2,X3),X3) ) ),
introduced(choice_axiom,[]) ).
fof(f464,plain,
! [X0,X1,X2] :
( ! [X3] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X1),X3) = X0
| ( ~ aElementOf0(X3,slbdtsldtrb0(X2,xk))
& ( sbrdtbr0(X3) != xk
| ( ~ aSubsetOf0(X3,X2)
& ? [X4] :
( ~ aElementOf0(X4,X2)
& aElementOf0(X4,X3) ) ) ) )
| ~ aSet0(X3) )
| ~ sP32(X0,X1,X2) ),
inference(rectify,[],[f463]) ).
fof(f463,plain,
! [X1,X0,X2] :
( ! [X3] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X3) = X1
| ( ~ aElementOf0(X3,slbdtsldtrb0(X2,xk))
& ( sbrdtbr0(X3) != xk
| ( ~ aSubsetOf0(X3,X2)
& ? [X4] :
( ~ aElementOf0(X4,X2)
& aElementOf0(X4,X3) ) ) ) )
| ~ aSet0(X3) )
| ~ sP32(X1,X0,X2) ),
inference(nnf_transformation,[],[f310]) ).
fof(f310,plain,
! [X1,X0,X2] :
( ! [X3] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X3) = X1
| ( ~ aElementOf0(X3,slbdtsldtrb0(X2,xk))
& ( sbrdtbr0(X3) != xk
| ( ~ aSubsetOf0(X3,X2)
& ? [X4] :
( ~ aElementOf0(X4,X2)
& aElementOf0(X4,X3) ) ) ) )
| ~ aSet0(X3) )
| ~ sP32(X1,X0,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f6135,plain,
spl96_453,
inference(avatar_split_clause,[],[f833,f6133]) ).
fof(f6133,plain,
( spl96_453
<=> ! [X0,X3,X2,X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X1),X3) = X0
| sbrdtbr0(X3) != xk
| aElementOf0(sK72(X2,X3),X3)
| ~ aSet0(X3)
| ~ sP32(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_453])]) ).
fof(f833,plain,
! [X2,X3,X0,X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X1),X3) = X0
| sbrdtbr0(X3) != xk
| aElementOf0(sK72(X2,X3),X3)
| ~ aSet0(X3)
| ~ sP32(X0,X1,X2) ),
inference(cnf_transformation,[],[f466]) ).
fof(f6131,plain,
spl96_452,
inference(avatar_split_clause,[],[f820,f6129]) ).
fof(f6129,plain,
( spl96_452
<=> ! [X2,X0,X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = X0
| sbrdtbr0(X2) != xk
| ~ aSubsetOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ aSet0(X2)
| ~ sP30(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_452])]) ).
fof(f820,plain,
! [X2,X0,X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = X0
| sbrdtbr0(X2) != xk
| ~ aSubsetOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ aSet0(X2)
| ~ sP30(X0,X1) ),
inference(cnf_transformation,[],[f456]) ).
fof(f6122,plain,
spl96_451,
inference(avatar_split_clause,[],[f759,f6120]) ).
fof(f6120,plain,
( spl96_451
<=> ! [X2,X0,X1] :
( sP22(X1,X2,sK59(X0,X1,X2),X0)
| ~ iLess0(X1,xK)
| sP23(X2)
| sP18(X0,X1,X2)
| ~ aFunction0(X2)
| ~ sP24(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_451])]) ).
fof(f759,plain,
! [X2,X0,X1] :
( sP22(X1,X2,sK59(X0,X1,X2),X0)
| ~ iLess0(X1,xK)
| sP23(X2)
| sP18(X0,X1,X2)
| ~ aFunction0(X2)
| ~ sP24(X0,X1) ),
inference(cnf_transformation,[],[f409]) ).
fof(f6118,plain,
spl96_450,
inference(avatar_split_clause,[],[f758,f6116]) ).
fof(f6116,plain,
( spl96_450
<=> ! [X2,X0,X1] :
( aElementOf0(sK59(X0,X1,X2),xT)
| ~ iLess0(X1,xK)
| sP23(X2)
| slbdtsldtrb0(X0,X1) != szDzozmdt0(X2)
| ~ aFunction0(X2)
| ~ sP24(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_450])]) ).
fof(f758,plain,
! [X2,X0,X1] :
( aElementOf0(sK59(X0,X1,X2),xT)
| ~ iLess0(X1,xK)
| sP23(X2)
| slbdtsldtrb0(X0,X1) != szDzozmdt0(X2)
| ~ aFunction0(X2)
| ~ sP24(X0,X1) ),
inference(cnf_transformation,[],[f409]) ).
fof(f6114,plain,
spl96_449,
inference(avatar_split_clause,[],[f629,f6112]) ).
fof(f6112,plain,
( spl96_449
<=> ! [X2,X0,X1] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ aElementOf0(X2,X0)
| ~ aElementOf0(X0,szDzozmdt0(sdtlpdtrp0(xC,X1)))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_449])]) ).
fof(f629,plain,
! [X2,X0,X1] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ aElementOf0(X2,X0)
| ~ aElementOf0(X0,szDzozmdt0(sdtlpdtrp0(xC,X1)))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f364]) ).
fof(f364,plain,
! [X0,X1] :
( ( sbrdtbr0(X0) = xk
& aSubsetOf0(X0,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ aElementOf0(X2,X0) )
& aSet0(X0) )
| ~ aElementOf0(X0,szDzozmdt0(sdtlpdtrp0(xC,X1)))
| ~ sP0(X0,X1) ),
inference(rectify,[],[f363]) ).
fof(f363,plain,
! [X7,X0] :
( ( xk = sbrdtbr0(X7)
& aSubsetOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X9] :
( aElementOf0(X9,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X9,X7) )
& aSet0(X7) )
| ~ aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| ~ sP0(X7,X0) ),
inference(nnf_transformation,[],[f271]) ).
fof(f271,plain,
! [X7,X0] :
( ( xk = sbrdtbr0(X7)
& aSubsetOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X9] :
( aElementOf0(X9,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X9,X7) )
& aSet0(X7) )
| ~ aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| ~ sP0(X7,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f6110,plain,
spl96_448,
inference(avatar_split_clause,[],[f606,f6108]) ).
fof(f6108,plain,
( spl96_448
<=> ! [X0,X1] :
( aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| sbrdtbr0(X1) != xk
| ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP6(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_448])]) ).
fof(f606,plain,
! [X0,X1] :
( aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| sbrdtbr0(X1) != xk
| ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f348]) ).
fof(f6080,plain,
spl96_447,
inference(avatar_split_clause,[],[f815,f6078]) ).
fof(f6078,plain,
( spl96_447
<=> ! [X2,X0,X1] :
( sP28(X0,X2)
| sbrdtbr0(X2) != xk
| ~ aElementOf0(sK68(X1,X2),X1)
| ~ aSet0(X2)
| ~ isCountable0(X1)
| sP29(X0,X1)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_447])]) ).
fof(f815,plain,
! [X2,X0,X1] :
( sP28(X0,X2)
| sbrdtbr0(X2) != xk
| ~ aElementOf0(sK68(X1,X2),X1)
| ~ aSet0(X2)
| ~ isCountable0(X1)
| sP29(X0,X1)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f452]) ).
fof(f452,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( sP28(X0,X2)
| ( ~ aElementOf0(X2,slbdtsldtrb0(X1,xk))
& ( sbrdtbr0(X2) != xk
| ( ~ aSubsetOf0(X2,X1)
& ~ aElementOf0(sK68(X1,X2),X1)
& aElementOf0(sK68(X1,X2),X2) ) ) )
| ~ aSet0(X2) )
| ~ isCountable0(X1)
| sP29(X0,X1) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK68])],[f450,f451]) ).
fof(f451,plain,
! [X1,X2] :
( ? [X3] :
( ~ aElementOf0(X3,X1)
& aElementOf0(X3,X2) )
=> ( ~ aElementOf0(sK68(X1,X2),X1)
& aElementOf0(sK68(X1,X2),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f450,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( sP28(X0,X2)
| ( ~ aElementOf0(X2,slbdtsldtrb0(X1,xk))
& ( sbrdtbr0(X2) != xk
| ( ~ aSubsetOf0(X2,X1)
& ? [X3] :
( ~ aElementOf0(X3,X1)
& aElementOf0(X3,X2) ) ) ) )
| ~ aSet0(X2) )
| ~ isCountable0(X1)
| sP29(X0,X1) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(rectify,[],[f306]) ).
fof(f306,plain,
! [X0] :
( ! [X1] :
( ! [X5] :
( sP28(X0,X5)
| ( ~ aElementOf0(X5,slbdtsldtrb0(X1,xk))
& ( sbrdtbr0(X5) != xk
| ( ~ aSubsetOf0(X5,X1)
& ? [X6] :
( ~ aElementOf0(X6,X1)
& aElementOf0(X6,X5) ) ) ) )
| ~ aSet0(X5) )
| ~ isCountable0(X1)
| sP29(X0,X1) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(definition_folding,[],[f162,f305,f304,f303,f302,f301]) ).
fof(f302,plain,
! [X0,X1] :
( ? [X4] :
( ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X4,X1) )
| ~ aSet0(X1)
| ~ sP26(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f304,plain,
! [X0,X5] :
( ( aElementOf0(X5,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& aSubsetOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X7] :
( aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X7,X5) )
& sP27(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X9] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X9)
| ~ aElementOf0(X9,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ sP28(X0,X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f305,plain,
! [X0,X1] :
( ( ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& sP26(X0,X1)
& sP25(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ sP29(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f162,plain,
! [X0] :
( ! [X1] :
( ! [X5] :
( ( aElementOf0(X5,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& aSubsetOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X7] :
( aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X7,X5) )
& ! [X8] :
( aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X8
& aElementOf0(X8,sdtlpdtrp0(xN,X0))
& aElement0(X8) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X9] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X9)
| ~ aElementOf0(X9,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ( ~ aElementOf0(X5,slbdtsldtrb0(X1,xk))
& ( sbrdtbr0(X5) != xk
| ( ~ aSubsetOf0(X5,X1)
& ? [X6] :
( ~ aElementOf0(X6,X1)
& aElementOf0(X6,X5) ) ) ) )
| ~ aSet0(X5) )
| ~ isCountable0(X1)
| ( ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ( ? [X4] :
( ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X4,X1) )
| ~ aSet0(X1) )
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f161]) ).
fof(f161,plain,
! [X0] :
( ! [X1] :
( ! [X5] :
( ( aElementOf0(X5,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& aSubsetOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X7] :
( aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X7,X5) )
& ! [X8] :
( aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X8
& aElementOf0(X8,sdtlpdtrp0(xN,X0))
& aElement0(X8) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X9] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X9)
| ~ aElementOf0(X9,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ( ~ aElementOf0(X5,slbdtsldtrb0(X1,xk))
& ( sbrdtbr0(X5) != xk
| ( ~ aSubsetOf0(X5,X1)
& ? [X6] :
( ~ aElementOf0(X6,X1)
& aElementOf0(X6,X5) ) ) ) )
| ~ aSet0(X5) )
| ~ isCountable0(X1)
| ( ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ( ? [X4] :
( ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X4,X1) )
| ~ aSet0(X1) )
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( ( isCountable0(X1)
& ( ( ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
=> ( ( ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
=> ( aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ( ! [X4] :
( aElementOf0(X4,X1)
=> aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSet0(X1) ) ) ) ) )
=> ! [X5] :
( ( ( aElementOf0(X5,slbdtsldtrb0(X1,xk))
| ( sbrdtbr0(X5) = xk
& ( aSubsetOf0(X5,X1)
| ! [X6] :
( aElementOf0(X6,X5)
=> aElementOf0(X6,X1) ) ) ) )
& aSet0(X5) )
=> ( aElementOf0(X5,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& aSubsetOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X7] :
( aElementOf0(X7,X5)
=> aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& ! [X8] :
( aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X8
& aElementOf0(X8,sdtlpdtrp0(xN,X0))
& aElement0(X8) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X9] :
( aElementOf0(X9,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X9) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) ) ) ),
inference(rectify,[],[f88]) ).
fof(f88,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( ( isCountable0(X1)
& ( ( ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
=> ( ( ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X2
& aElementOf0(X2,sdtlpdtrp0(xN,X0))
& aElement0(X2) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
=> ( aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSet0(X1) ) ) ) ) )
=> ! [X2] :
( ( ( aElementOf0(X2,slbdtsldtrb0(X1,xk))
| ( sbrdtbr0(X2) = xk
& ( aSubsetOf0(X2,X1)
| ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) ) ) ) )
& aSet0(X2) )
=> ( aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X3) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4331) ).
fof(f6076,plain,
spl96_446,
inference(avatar_split_clause,[],[f814,f6074]) ).
fof(f6074,plain,
( spl96_446
<=> ! [X2,X0,X1] :
( sP28(X0,X2)
| sbrdtbr0(X2) != xk
| aElementOf0(sK68(X1,X2),X2)
| ~ aSet0(X2)
| ~ isCountable0(X1)
| sP29(X0,X1)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_446])]) ).
fof(f814,plain,
! [X2,X0,X1] :
( sP28(X0,X2)
| sbrdtbr0(X2) != xk
| aElementOf0(sK68(X1,X2),X2)
| ~ aSet0(X2)
| ~ isCountable0(X1)
| sP29(X0,X1)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f452]) ).
fof(f6072,plain,
spl96_445,
inference(avatar_split_clause,[],[f640,f6070]) ).
fof(f6070,plain,
( spl96_445
<=> ! [X0,X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xd,X0)
| ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
| ~ aSet0(X1)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_445])]) ).
fof(f640,plain,
! [X0,X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xd,X0)
| ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
| ~ aSet0(X1)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f366]) ).
fof(f6068,plain,
( spl96_444
| ~ spl96_78
| ~ spl96_333 ),
inference(avatar_split_clause,[],[f5636,f3492,f1447,f6065]) ).
fof(f6065,plain,
( spl96_444
<=> sP41(xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_444])]) ).
fof(f5636,plain,
( sP41(xp)
| ~ spl96_78
| ~ spl96_333 ),
inference(resolution,[],[f3494,f1448]) ).
fof(f6002,plain,
spl96_443,
inference(avatar_split_clause,[],[f970,f6000]) ).
fof(f6000,plain,
( spl96_443
<=> ! [X2,X0,X1] :
( sP44(X0,X1,X2)
| ~ aElementOf0(sK91(X0,X1,X2),X1)
| ~ aElement0(sK91(X0,X1,X2))
| ~ aElementOf0(sK91(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_443])]) ).
fof(f970,plain,
! [X2,X0,X1] :
( sP44(X0,X1,X2)
| ~ aElementOf0(sK91(X0,X1,X2),X1)
| ~ aElement0(sK91(X0,X1,X2))
| ~ aElementOf0(sK91(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f542]) ).
fof(f5998,plain,
spl96_442,
inference(avatar_split_clause,[],[f929,f5996]) ).
fof(f5996,plain,
( spl96_442
<=> ! [X0,X1] :
( sP40(X0,X1)
| ~ sdtlseqdt0(szszuzczcdt0(sK85(X0,X1)),X0)
| ~ aElementOf0(sK85(X0,X1),szNzAzT0)
| ~ aElementOf0(sK85(X0,X1),X1)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_442])]) ).
fof(f929,plain,
! [X0,X1] :
( sP40(X0,X1)
| ~ sdtlseqdt0(szszuzczcdt0(sK85(X0,X1)),X0)
| ~ aElementOf0(sK85(X0,X1),szNzAzT0)
| ~ aElementOf0(sK85(X0,X1),X1)
| ~ aSet0(X1) ),
inference(cnf_transformation,[],[f514]) ).
fof(f514,plain,
! [X0,X1] :
( ( sP40(X0,X1)
| ( ( ~ sdtlseqdt0(szszuzczcdt0(sK85(X0,X1)),X0)
| ~ aElementOf0(sK85(X0,X1),szNzAzT0)
| ~ aElementOf0(sK85(X0,X1),X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(sK85(X0,X1)),X0)
& aElementOf0(sK85(X0,X1),szNzAzT0) )
| aElementOf0(sK85(X0,X1),X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,szNzAzT0) )
& ( ( sdtlseqdt0(szszuzczcdt0(X3),X0)
& aElementOf0(X3,szNzAzT0) )
| ~ aElementOf0(X3,X1) ) )
& aSet0(X1) )
| ~ sP40(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK85])],[f512,f513]) ).
fof(f513,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X2,X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) )
| aElementOf0(X2,X1) ) )
=> ( ( ~ sdtlseqdt0(szszuzczcdt0(sK85(X0,X1)),X0)
| ~ aElementOf0(sK85(X0,X1),szNzAzT0)
| ~ aElementOf0(sK85(X0,X1),X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(sK85(X0,X1)),X0)
& aElementOf0(sK85(X0,X1),szNzAzT0) )
| aElementOf0(sK85(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f512,plain,
! [X0,X1] :
( ( sP40(X0,X1)
| ? [X2] :
( ( ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X2,X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) )
| aElementOf0(X2,X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,szNzAzT0) )
& ( ( sdtlseqdt0(szszuzczcdt0(X3),X0)
& aElementOf0(X3,szNzAzT0) )
| ~ aElementOf0(X3,X1) ) )
& aSet0(X1) )
| ~ sP40(X0,X1) ) ),
inference(rectify,[],[f511]) ).
fof(f511,plain,
! [X0,X1] :
( ( sP40(X0,X1)
| ? [X2] :
( ( ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X2,X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) )
| aElementOf0(X2,X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( ( aElementOf0(X2,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0) )
& ( ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) )
| ~ aElementOf0(X2,X1) ) )
& aSet0(X1) )
| ~ sP40(X0,X1) ) ),
inference(flattening,[],[f510]) ).
fof(f510,plain,
! [X0,X1] :
( ( sP40(X0,X1)
| ? [X2] :
( ( ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X2,X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) )
| aElementOf0(X2,X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( ( aElementOf0(X2,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0) )
& ( ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) )
| ~ aElementOf0(X2,X1) ) )
& aSet0(X1) )
| ~ sP40(X0,X1) ) ),
inference(nnf_transformation,[],[f323]) ).
fof(f323,plain,
! [X0,X1] :
( sP40(X0,X1)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) ) )
& aSet0(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).
fof(f5994,plain,
spl96_441,
inference(avatar_split_clause,[],[f894,f5992]) ).
fof(f5992,plain,
( spl96_441
<=> ! [X0,X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| sdtlpdtrp0(X0,sK82(X0)) = sdtlpdtrp0(X0,sK81(X0))
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_441])]) ).
fof(f894,plain,
! [X0,X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| sdtlpdtrp0(X0,sK82(X0)) = sdtlpdtrp0(X0,sK81(X0))
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f499]) ).
fof(f499,plain,
! [X0] :
( ! [X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| ( sdtlpdtrp0(X0,sK82(X0)) = sdtlpdtrp0(X0,sK81(X0))
& sK81(X0) != sK82(X0)
& aElementOf0(sK82(X0),szDzozmdt0(X0))
& aElementOf0(sK81(X0),szDzozmdt0(X0)) )
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK81,sK82])],[f188,f498]) ).
fof(f498,plain,
! [X0] :
( ? [X2,X3] :
( sdtlpdtrp0(X0,X3) = sdtlpdtrp0(X0,X2)
& X2 != X3
& aElementOf0(X3,szDzozmdt0(X0))
& aElementOf0(X2,szDzozmdt0(X0)) )
=> ( sdtlpdtrp0(X0,sK82(X0)) = sdtlpdtrp0(X0,sK81(X0))
& sK81(X0) != sK82(X0)
& aElementOf0(sK82(X0),szDzozmdt0(X0))
& aElementOf0(sK81(X0),szDzozmdt0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f188,plain,
! [X0] :
( ! [X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| ? [X2,X3] :
( sdtlpdtrp0(X0,X3) = sdtlpdtrp0(X0,X2)
& X2 != X3
& aElementOf0(X3,szDzozmdt0(X0))
& aElementOf0(X2,szDzozmdt0(X0)) )
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(flattening,[],[f187]) ).
fof(f187,plain,
! [X0] :
( ! [X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| ? [X2,X3] :
( sdtlpdtrp0(X0,X3) = sdtlpdtrp0(X0,X2)
& X2 != X3
& aElementOf0(X3,szDzozmdt0(X0))
& aElementOf0(X2,szDzozmdt0(X0)) )
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f71]) ).
fof(f71,axiom,
! [X0] :
( aFunction0(X0)
=> ! [X1] :
( ( isCountable0(X1)
& aSubsetOf0(X1,szDzozmdt0(X0)) )
=> ( ! [X2,X3] :
( ( X2 != X3
& aElementOf0(X3,szDzozmdt0(X0))
& aElementOf0(X2,szDzozmdt0(X0)) )
=> sdtlpdtrp0(X0,X3) != sdtlpdtrp0(X0,X2) )
=> isCountable0(sdtlcdtrc0(X0,X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mImgCount) ).
fof(f5990,plain,
spl96_440,
inference(avatar_split_clause,[],[f818,f5988]) ).
fof(f5988,plain,
( spl96_440
<=> ! [X2,X0,X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = X0
| sbrdtbr0(X2) != xk
| aElementOf0(sK69(X1,X2),X2)
| ~ aSet0(X2)
| ~ sP30(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_440])]) ).
fof(f818,plain,
! [X2,X0,X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = X0
| sbrdtbr0(X2) != xk
| aElementOf0(sK69(X1,X2),X2)
| ~ aSet0(X2)
| ~ sP30(X0,X1) ),
inference(cnf_transformation,[],[f456]) ).
fof(f5986,plain,
( spl96_439
| ~ spl96_62
| ~ spl96_333 ),
inference(avatar_split_clause,[],[f5635,f3492,f1373,f5983]) ).
fof(f5983,plain,
( spl96_439
<=> sP11(xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_439])]) ).
fof(f5635,plain,
( sP11(xp)
| ~ spl96_62
| ~ spl96_333 ),
inference(resolution,[],[f3494,f1374]) ).
fof(f5981,plain,
spl96_438,
inference(avatar_split_clause,[],[f725,f5979]) ).
fof(f5979,plain,
( spl96_438
<=> ! [X0,X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),sK57(X0,X1)) = X1
| ~ aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
| ~ sP11(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_438])]) ).
fof(f725,plain,
! [X0,X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),sK57(X0,X1)) = X1
| ~ aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
| ~ sP11(X0) ),
inference(cnf_transformation,[],[f392]) ).
fof(f5977,plain,
spl96_437,
inference(avatar_split_clause,[],[f602,f5975]) ).
fof(f5975,plain,
( spl96_437
<=> ! [X0,X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| sP4(X0,X1)
| ~ aSet0(X1)
| ~ sP7(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_437])]) ).
fof(f602,plain,
! [X0,X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| sP4(X0,X1)
| ~ aSet0(X1)
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f344]) ).
fof(f344,plain,
! [X0] :
( ! [X1] :
( ( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& sP3(X0,X1)
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| sP4(X0,X1)
| ~ aSet0(X1) )
| ~ sP7(X0) ),
inference(rectify,[],[f343]) ).
fof(f343,plain,
! [X0] :
( ! [X1] :
( ( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& sP3(X0,X1)
& ! [X6] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X6)
| ~ aElementOf0(X6,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| sP4(X0,X1)
| ~ aSet0(X1) )
| ~ sP7(X0) ),
inference(nnf_transformation,[],[f278]) ).
fof(f278,plain,
! [X0] :
( ! [X1] :
( ( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& sP3(X0,X1)
& ! [X6] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X6)
| ~ aElementOf0(X6,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| sP4(X0,X1)
| ~ aSet0(X1) )
| ~ sP7(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f5734,plain,
( spl96_436
| ~ spl96_57
| ~ spl96_333 ),
inference(avatar_split_clause,[],[f5634,f3492,f1350,f5731]) ).
fof(f5634,plain,
( sP8(xp)
| ~ spl96_57
| ~ spl96_333 ),
inference(resolution,[],[f3494,f1351]) ).
fof(f5681,plain,
spl96_435,
inference(avatar_split_clause,[],[f991,f5679]) ).
fof(f5679,plain,
( spl96_435
<=> ! [X2,X0,X1] :
( aSubsetOf0(X2,slbdtsldtrb0(sK94(X0,X1,X2),X1))
| ~ isFinite0(X2)
| ~ aSubsetOf0(X2,slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_435])]) ).
fof(f991,plain,
! [X2,X0,X1] :
( aSubsetOf0(X2,slbdtsldtrb0(sK94(X0,X1,X2),X1))
| ~ isFinite0(X2)
| ~ aSubsetOf0(X2,slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f555]) ).
fof(f555,plain,
! [X0,X1] :
( ! [X2] :
( ( aSubsetOf0(X2,slbdtsldtrb0(sK94(X0,X1,X2),X1))
& isFinite0(sK94(X0,X1,X2))
& aSubsetOf0(sK94(X0,X1,X2),X0) )
| ~ isFinite0(X2)
| ~ aSubsetOf0(X2,slbdtsldtrb0(X0,X1)) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK94])],[f250,f554]) ).
fof(f554,plain,
! [X0,X1,X2] :
( ? [X3] :
( aSubsetOf0(X2,slbdtsldtrb0(X3,X1))
& isFinite0(X3)
& aSubsetOf0(X3,X0) )
=> ( aSubsetOf0(X2,slbdtsldtrb0(sK94(X0,X1,X2),X1))
& isFinite0(sK94(X0,X1,X2))
& aSubsetOf0(sK94(X0,X1,X2),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f250,plain,
! [X0,X1] :
( ! [X2] :
( ? [X3] :
( aSubsetOf0(X2,slbdtsldtrb0(X3,X1))
& isFinite0(X3)
& aSubsetOf0(X3,X0) )
| ~ isFinite0(X2)
| ~ aSubsetOf0(X2,slbdtsldtrb0(X0,X1)) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(flattening,[],[f249]) ).
fof(f249,plain,
! [X0,X1] :
( ! [X2] :
( ? [X3] :
( aSubsetOf0(X2,slbdtsldtrb0(X3,X1))
& isFinite0(X3)
& aSubsetOf0(X3,X0) )
| ~ isFinite0(X2)
| ~ aSubsetOf0(X2,slbdtsldtrb0(X0,X1)) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f62]) ).
fof(f62,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aSet0(X0) )
=> ! [X2] :
( ( isFinite0(X2)
& aSubsetOf0(X2,slbdtsldtrb0(X0,X1)) )
=> ? [X3] :
( aSubsetOf0(X2,slbdtsldtrb0(X3,X1))
& isFinite0(X3)
& aSubsetOf0(X3,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSelExtra) ).
fof(f5677,plain,
spl96_434,
inference(avatar_split_clause,[],[f961,f5675]) ).
fof(f5675,plain,
( spl96_434
<=> ! [X2,X0,X1] :
( sP42(X0,X1,X2)
| sdtlpdtrp0(X1,sK90(X0,X1,X2)) = X0
| aElementOf0(sK90(X0,X1,X2),X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_434])]) ).
fof(f961,plain,
! [X2,X0,X1] :
( sP42(X0,X1,X2)
| sdtlpdtrp0(X1,sK90(X0,X1,X2)) = X0
| aElementOf0(sK90(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f537]) ).
fof(f5673,plain,
spl96_433,
inference(avatar_split_clause,[],[f942,f5671]) ).
fof(f5671,plain,
( spl96_433
<=> ! [X0,X1] :
( szmzazxdt0(X0) = X1
| ~ sdtlseqdt0(sK86(X0,X1),X1)
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_433])]) ).
fof(f942,plain,
! [X0,X1] :
( szmzazxdt0(X0) = X1
| ~ sdtlseqdt0(sK86(X0,X1),X1)
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f519]) ).
fof(f519,plain,
! [X0] :
( ! [X1] :
( ( szmzazxdt0(X0) = X1
| ( ~ sdtlseqdt0(sK86(X0,X1),X1)
& aElementOf0(sK86(X0,X1),X0) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X3] :
( sdtlseqdt0(X3,X1)
| ~ aElementOf0(X3,X0) )
& aElementOf0(X1,X0) )
| szmzazxdt0(X0) != X1 ) )
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK86])],[f517,f518]) ).
fof(f518,plain,
! [X0,X1] :
( ? [X2] :
( ~ sdtlseqdt0(X2,X1)
& aElementOf0(X2,X0) )
=> ( ~ sdtlseqdt0(sK86(X0,X1),X1)
& aElementOf0(sK86(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f517,plain,
! [X0] :
( ! [X1] :
( ( szmzazxdt0(X0) = X1
| ? [X2] :
( ~ sdtlseqdt0(X2,X1)
& aElementOf0(X2,X0) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X3] :
( sdtlseqdt0(X3,X1)
| ~ aElementOf0(X3,X0) )
& aElementOf0(X1,X0) )
| szmzazxdt0(X0) != X1 ) )
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(rectify,[],[f516]) ).
fof(f516,plain,
! [X0] :
( ! [X1] :
( ( szmzazxdt0(X0) = X1
| ? [X2] :
( ~ sdtlseqdt0(X2,X1)
& aElementOf0(X2,X0) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X2] :
( sdtlseqdt0(X2,X1)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) )
| szmzazxdt0(X0) != X1 ) )
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(flattening,[],[f515]) ).
fof(f515,plain,
! [X0] :
( ! [X1] :
( ( szmzazxdt0(X0) = X1
| ? [X2] :
( ~ sdtlseqdt0(X2,X1)
& aElementOf0(X2,X0) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X2] :
( sdtlseqdt0(X2,X1)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) )
| szmzazxdt0(X0) != X1 ) )
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(nnf_transformation,[],[f229]) ).
fof(f229,plain,
! [X0] :
( ! [X1] :
( szmzazxdt0(X0) = X1
<=> ( ! [X2] :
( sdtlseqdt0(X2,X1)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) ) )
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(flattening,[],[f228]) ).
fof(f228,plain,
! [X0] :
( ! [X1] :
( szmzazxdt0(X0) = X1
<=> ( ! [X2] :
( sdtlseqdt0(X2,X1)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) ) )
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,axiom,
! [X0] :
( ( slcrc0 != X0
& isFinite0(X0)
& aSubsetOf0(X0,szNzAzT0) )
=> ! [X1] :
( szmzazxdt0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X0)
=> sdtlseqdt0(X2,X1) )
& aElementOf0(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefMax) ).
fof(f5669,plain,
spl96_432,
inference(avatar_split_clause,[],[f941,f5667]) ).
fof(f5667,plain,
( spl96_432
<=> ! [X0,X1] :
( szmzazxdt0(X0) = X1
| aElementOf0(sK86(X0,X1),X0)
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_432])]) ).
fof(f941,plain,
! [X0,X1] :
( szmzazxdt0(X0) = X1
| aElementOf0(sK86(X0,X1),X0)
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f519]) ).
fof(f5665,plain,
spl96_431,
inference(avatar_split_clause,[],[f835,f5663]) ).
fof(f5663,plain,
( spl96_431
<=> ! [X0,X3,X2,X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X1),X3) = X0
| sbrdtbr0(X3) != xk
| ~ aSubsetOf0(X3,X2)
| ~ aSet0(X3)
| ~ sP32(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_431])]) ).
fof(f835,plain,
! [X2,X3,X0,X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X1),X3) = X0
| sbrdtbr0(X3) != xk
| ~ aSubsetOf0(X3,X2)
| ~ aSet0(X3)
| ~ sP32(X0,X1,X2) ),
inference(cnf_transformation,[],[f466]) ).
fof(f5661,plain,
spl96_430,
inference(avatar_split_clause,[],[f821,f5659]) ).
fof(f5659,plain,
( spl96_430
<=> ! [X2,X0,X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = X0
| ~ aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),xk))
| ~ aSet0(X2)
| ~ sP30(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_430])]) ).
fof(f821,plain,
! [X2,X0,X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = X0
| ~ aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),xk))
| ~ aSet0(X2)
| ~ sP30(X0,X1) ),
inference(cnf_transformation,[],[f456]) ).
fof(f5657,plain,
spl96_429,
inference(avatar_split_clause,[],[f757,f5655]) ).
fof(f5655,plain,
( spl96_429
<=> ! [X2,X0,X1] :
( aElementOf0(sK59(X0,X1,X2),xT)
| ~ iLess0(X1,xK)
| sP23(X2)
| sP18(X0,X1,X2)
| ~ aFunction0(X2)
| ~ sP24(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_429])]) ).
fof(f757,plain,
! [X2,X0,X1] :
( aElementOf0(sK59(X0,X1,X2),xT)
| ~ iLess0(X1,xK)
| sP23(X2)
| sP18(X0,X1,X2)
| ~ aFunction0(X2)
| ~ sP24(X0,X1) ),
inference(cnf_transformation,[],[f409]) ).
fof(f5653,plain,
spl96_428,
inference(avatar_split_clause,[],[f746,f5651]) ).
fof(f5651,plain,
( spl96_428
<=> ! [X2,X0,X1] :
( szmzizndt0(sdtlpdtrp0(xN,X0)) = X2
| aElementOf0(X2,X1)
| ~ aElementOf0(X2,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP14(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_428])]) ).
fof(f746,plain,
! [X2,X0,X1] :
( szmzizndt0(sdtlpdtrp0(xN,X0)) = X2
| aElementOf0(X2,X1)
| ~ aElementOf0(X2,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP14(X0,X1) ),
inference(cnf_transformation,[],[f398]) ).
fof(f398,plain,
! [X0,X1] :
( ! [X2] :
( ( aElementOf0(X2,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X2
& ~ aElementOf0(X2,X1) )
| ~ aElement0(X2) )
& ( ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X2
| aElementOf0(X2,X1) )
& aElement0(X2) )
| ~ aElementOf0(X2,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| ~ sP14(X0,X1) ),
inference(rectify,[],[f397]) ).
fof(f397,plain,
! [X0,X1] :
( ! [X6] :
( ( aElementOf0(X6,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X6
& ~ aElementOf0(X6,X1) )
| ~ aElement0(X6) )
& ( ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X6
| aElementOf0(X6,X1) )
& aElement0(X6) )
| ~ aElementOf0(X6,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| ~ sP14(X0,X1) ),
inference(flattening,[],[f396]) ).
fof(f396,plain,
! [X0,X1] :
( ! [X6] :
( ( aElementOf0(X6,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X6
& ~ aElementOf0(X6,X1) )
| ~ aElement0(X6) )
& ( ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X6
| aElementOf0(X6,X1) )
& aElement0(X6) )
| ~ aElementOf0(X6,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| ~ sP14(X0,X1) ),
inference(nnf_transformation,[],[f288]) ).
fof(f288,plain,
! [X0,X1] :
( ! [X6] :
( aElementOf0(X6,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X6
| aElementOf0(X6,X1) )
& aElement0(X6) ) )
| ~ sP14(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f5633,plain,
spl96_427,
inference(avatar_split_clause,[],[f724,f5631]) ).
fof(f5631,plain,
( spl96_427
<=> ! [X0,X1] :
( aElementOf0(sK57(X0,X1),szDzozmdt0(sdtlpdtrp0(xC,X0)))
| ~ aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
| ~ sP11(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_427])]) ).
fof(f724,plain,
! [X0,X1] :
( aElementOf0(sK57(X0,X1),szDzozmdt0(sdtlpdtrp0(xC,X0)))
| ~ aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
| ~ sP11(X0) ),
inference(cnf_transformation,[],[f392]) ).
fof(f5629,plain,
spl96_426,
inference(avatar_split_clause,[],[f618,f5627]) ).
fof(f5627,plain,
( spl96_426
<=> ! [X2,X0,X1] :
( szmzizndt0(sdtlpdtrp0(xN,X0)) = X2
| aElementOf0(X2,X1)
| ~ aElementOf0(X2,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_426])]) ).
fof(f618,plain,
! [X2,X0,X1] :
( szmzizndt0(sdtlpdtrp0(xN,X0)) = X2
| aElementOf0(X2,X1)
| ~ aElementOf0(X2,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f355]) ).
fof(f355,plain,
! [X0,X1] :
( ! [X2] :
( ( aElementOf0(X2,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X2
& ~ aElementOf0(X2,X1) )
| ~ aElement0(X2) )
& ( ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X2
| aElementOf0(X2,X1) )
& aElement0(X2) )
| ~ aElementOf0(X2,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| ~ sP3(X0,X1) ),
inference(rectify,[],[f354]) ).
fof(f354,plain,
! [X0,X1] :
( ! [X5] :
( ( aElementOf0(X5,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X5
& ~ aElementOf0(X5,X1) )
| ~ aElement0(X5) )
& ( ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X5
| aElementOf0(X5,X1) )
& aElement0(X5) )
| ~ aElementOf0(X5,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| ~ sP3(X0,X1) ),
inference(flattening,[],[f353]) ).
fof(f353,plain,
! [X0,X1] :
( ! [X5] :
( ( aElementOf0(X5,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X5
& ~ aElementOf0(X5,X1) )
| ~ aElement0(X5) )
& ( ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X5
| aElementOf0(X5,X1) )
& aElement0(X5) )
| ~ aElementOf0(X5,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| ~ sP3(X0,X1) ),
inference(nnf_transformation,[],[f274]) ).
fof(f274,plain,
! [X0,X1] :
( ! [X5] :
( aElementOf0(X5,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X5
| aElementOf0(X5,X1) )
& aElement0(X5) ) )
| ~ sP3(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f5599,plain,
spl96_425,
inference(avatar_split_clause,[],[f852,f5597]) ).
fof(f5597,plain,
( spl96_425
<=> ! [X2,X0,X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| X0 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_425])]) ).
fof(f852,plain,
! [X2,X0,X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| X0 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f316]) ).
fof(f316,plain,
! [X0,X1] :
( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1))
& sP35(X0,X1)
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| X0 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(definition_folding,[],[f169,f315]) ).
fof(f315,plain,
! [X0,X1] :
( ? [X3] :
( ~ sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X3)
& aElementOf0(X3,sdtlpdtrp0(xN,X1)) )
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X1))
| ~ sP35(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f169,plain,
! [X0,X1] :
( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1))
& ( ? [X3] :
( ~ sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X3)
& aElementOf0(X3,sdtlpdtrp0(xN,X1)) )
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X1)) )
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| X0 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f168]) ).
fof(f168,plain,
! [X0,X1] :
( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1))
& ( ? [X3] :
( ~ sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X3)
& aElementOf0(X3,sdtlpdtrp0(xN,X1)) )
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X1)) )
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| X0 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0,X1] :
( ( X0 != X1
& aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ~ ( ( ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) = szmzizndt0(sdtlpdtrp0(xN,X1))
| ( ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X3) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X1)) ) ) ) ),
inference(rectify,[],[f84]) ).
fof(f84,axiom,
! [X0,X1] :
( ( X0 != X1
& aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ~ ( ( ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) = szmzizndt0(sdtlpdtrp0(xN,X1))
| ( ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X1)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3821) ).
fof(f5595,plain,
spl96_424,
inference(avatar_split_clause,[],[f816,f5593]) ).
fof(f5593,plain,
( spl96_424
<=> ! [X2,X0,X1] :
( sP28(X0,X2)
| sbrdtbr0(X2) != xk
| ~ aSubsetOf0(X2,X1)
| ~ aSet0(X2)
| ~ isCountable0(X1)
| sP29(X0,X1)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_424])]) ).
fof(f816,plain,
! [X2,X0,X1] :
( sP28(X0,X2)
| sbrdtbr0(X2) != xk
| ~ aSubsetOf0(X2,X1)
| ~ aSet0(X2)
| ~ isCountable0(X1)
| sP29(X0,X1)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f452]) ).
fof(f5362,plain,
spl96_423,
inference(avatar_split_clause,[],[f1024,f5360]) ).
fof(f5360,plain,
( spl96_423
<=> ! [X0,X1] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,X0)))
| ~ sP14(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_423])]) ).
fof(f1024,plain,
! [X0,X1] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,X0)))
| ~ sP14(X0,X1) ),
inference(equality_resolution,[],[f748]) ).
fof(f748,plain,
! [X2,X0,X1] :
( aElementOf0(X2,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) != X2
| ~ aElement0(X2)
| ~ sP14(X0,X1) ),
inference(cnf_transformation,[],[f398]) ).
fof(f5358,plain,
spl96_422,
inference(avatar_split_clause,[],[f1017,f5356]) ).
fof(f5356,plain,
( spl96_422
<=> ! [X0,X1] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,X0)))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_422])]) ).
fof(f1017,plain,
! [X0,X1] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,X0)))
| ~ sP3(X0,X1) ),
inference(equality_resolution,[],[f620]) ).
fof(f620,plain,
! [X2,X0,X1] :
( aElementOf0(X2,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) != X2
| ~ aElement0(X2)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f355]) ).
fof(f5354,plain,
spl96_421,
inference(avatar_split_clause,[],[f999,f5352]) ).
fof(f5352,plain,
( spl96_421
<=> ! [X2,X0,X1] :
( sP46(X0,X1,X2)
| sbrdtbr0(sK95(X0,X1,X2)) = X0
| aElementOf0(sK95(X0,X1,X2),X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_421])]) ).
fof(f999,plain,
! [X2,X0,X1] :
( sP46(X0,X1,X2)
| sbrdtbr0(sK95(X0,X1,X2)) = X0
| aElementOf0(sK95(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f561]) ).
fof(f5350,plain,
spl96_420,
inference(avatar_split_clause,[],[f960,f5348]) ).
fof(f5348,plain,
( spl96_420
<=> ! [X2,X0,X1] :
( sP42(X0,X1,X2)
| aElementOf0(sK90(X0,X1,X2),szDzozmdt0(X1))
| aElementOf0(sK90(X0,X1,X2),X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_420])]) ).
fof(f960,plain,
! [X2,X0,X1] :
( sP42(X0,X1,X2)
| aElementOf0(sK90(X0,X1,X2),szDzozmdt0(X1))
| aElementOf0(sK90(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f537]) ).
fof(f5342,plain,
spl96_419,
inference(avatar_split_clause,[],[f850,f5340]) ).
fof(f5340,plain,
( spl96_419
<=> ! [X0,X1] :
( ~ sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),sK75(X0,X1))
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X1))
| ~ sP35(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_419])]) ).
fof(f850,plain,
! [X0,X1] :
( ~ sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),sK75(X0,X1))
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X1))
| ~ sP35(X0,X1) ),
inference(cnf_transformation,[],[f479]) ).
fof(f479,plain,
! [X0,X1] :
( ( ~ sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),sK75(X0,X1))
& aElementOf0(sK75(X0,X1),sdtlpdtrp0(xN,X1)) )
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X1))
| ~ sP35(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK75])],[f477,f478]) ).
fof(f478,plain,
! [X0,X1] :
( ? [X2] :
( ~ sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
& aElementOf0(X2,sdtlpdtrp0(xN,X1)) )
=> ( ~ sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),sK75(X0,X1))
& aElementOf0(sK75(X0,X1),sdtlpdtrp0(xN,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f477,plain,
! [X0,X1] :
( ? [X2] :
( ~ sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
& aElementOf0(X2,sdtlpdtrp0(xN,X1)) )
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X1))
| ~ sP35(X0,X1) ),
inference(rectify,[],[f476]) ).
fof(f476,plain,
! [X0,X1] :
( ? [X3] :
( ~ sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X3)
& aElementOf0(X3,sdtlpdtrp0(xN,X1)) )
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X1))
| ~ sP35(X0,X1) ),
inference(nnf_transformation,[],[f315]) ).
fof(f5338,plain,
spl96_418,
inference(avatar_split_clause,[],[f779,f5336]) ).
fof(f5336,plain,
( spl96_418
<=> ! [X2,X0,X1] :
( sP17(X2,sK64(X0,X1,X2),X1,X0)
| aElementOf0(sK64(X0,X1,X2),szDzozmdt0(X2))
| ~ sP18(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_418])]) ).
fof(f779,plain,
! [X2,X0,X1] :
( sP17(X2,sK64(X0,X1,X2),X1,X0)
| aElementOf0(sK64(X0,X1,X2),szDzozmdt0(X2))
| ~ sP18(X0,X1,X2) ),
inference(cnf_transformation,[],[f432]) ).
fof(f5334,plain,
spl96_417,
inference(avatar_split_clause,[],[f750,f5332]) ).
fof(f5332,plain,
( spl96_417
<=> ! [X0,X1] :
( sbrdtbr0(X0) != xk
| ~ aElementOf0(sK58(X0,X1),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ sP13(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_417])]) ).
fof(f750,plain,
! [X0,X1] :
( sbrdtbr0(X0) != xk
| ~ aElementOf0(sK58(X0,X1),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ sP13(X0,X1) ),
inference(cnf_transformation,[],[f402]) ).
fof(f402,plain,
! [X0,X1] :
( sbrdtbr0(X0) != xk
| ( ~ aSubsetOf0(X0,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ~ aElementOf0(sK58(X0,X1),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& aElementOf0(sK58(X0,X1),X0) )
| ~ sP13(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK58])],[f400,f401]) ).
fof(f401,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& aElementOf0(X2,X0) )
=> ( ~ aElementOf0(sK58(X0,X1),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& aElementOf0(sK58(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f400,plain,
! [X0,X1] :
( sbrdtbr0(X0) != xk
| ( ~ aSubsetOf0(X0,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ? [X2] :
( ~ aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& aElementOf0(X2,X0) ) )
| ~ sP13(X0,X1) ),
inference(rectify,[],[f399]) ).
fof(f399,plain,
! [X1,X0] :
( sbrdtbr0(X1) != xk
| ( ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ? [X4] :
( ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X4,X1) ) )
| ~ sP13(X1,X0) ),
inference(nnf_transformation,[],[f287]) ).
fof(f287,plain,
! [X1,X0] :
( sbrdtbr0(X1) != xk
| ( ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ? [X4] :
( ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X4,X1) ) )
| ~ sP13(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f5330,plain,
spl96_416,
inference(avatar_split_clause,[],[f630,f5328]) ).
fof(f5328,plain,
( spl96_416
<=> ! [X0,X1] :
( aSubsetOf0(X0,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ aElementOf0(X0,szDzozmdt0(sdtlpdtrp0(xC,X1)))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_416])]) ).
fof(f630,plain,
! [X0,X1] :
( aSubsetOf0(X0,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ aElementOf0(X0,szDzozmdt0(sdtlpdtrp0(xC,X1)))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f364]) ).
fof(f5326,plain,
spl96_415,
inference(avatar_split_clause,[],[f622,f5324]) ).
fof(f5324,plain,
( spl96_415
<=> ! [X0,X1] :
( sbrdtbr0(X0) != xk
| ~ aElementOf0(sK51(X0,X1),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_415])]) ).
fof(f622,plain,
! [X0,X1] :
( sbrdtbr0(X0) != xk
| ~ aElementOf0(sK51(X0,X1),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f359]) ).
fof(f359,plain,
! [X0,X1] :
( sbrdtbr0(X0) != xk
| ( ~ aSubsetOf0(X0,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ~ aElementOf0(sK51(X0,X1),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& aElementOf0(sK51(X0,X1),X0) )
| ~ sP2(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK51])],[f357,f358]) ).
fof(f358,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& aElementOf0(X2,X0) )
=> ( ~ aElementOf0(sK51(X0,X1),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& aElementOf0(sK51(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f357,plain,
! [X0,X1] :
( sbrdtbr0(X0) != xk
| ( ~ aSubsetOf0(X0,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ? [X2] :
( ~ aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& aElementOf0(X2,X0) ) )
| ~ sP2(X0,X1) ),
inference(rectify,[],[f356]) ).
fof(f356,plain,
! [X1,X0] :
( sbrdtbr0(X1) != xk
| ( ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ? [X4] :
( ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X4,X1) ) )
| ~ sP2(X1,X0) ),
inference(nnf_transformation,[],[f273]) ).
fof(f273,plain,
! [X1,X0] :
( sbrdtbr0(X1) != xk
| ( ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ? [X4] :
( ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X4,X1) ) )
| ~ sP2(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f5322,plain,
spl96_414,
inference(avatar_split_clause,[],[f604,f5320]) ).
fof(f5320,plain,
( spl96_414
<=> ! [X0,X1] :
( aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| sbrdtbr0(X1) != xk
| aElementOf0(sK50(X0,X1),X1)
| ~ aSet0(X1)
| ~ sP6(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_414])]) ).
fof(f604,plain,
! [X0,X1] :
( aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| sbrdtbr0(X1) != xk
| aElementOf0(sK50(X0,X1),X1)
| ~ aSet0(X1)
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f348]) ).
fof(f5296,plain,
spl96_413,
inference(avatar_split_clause,[],[f855,f5294]) ).
fof(f5294,plain,
( spl96_413
<=> ! [X2,X0,X1] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_413])]) ).
fof(f855,plain,
! [X2,X0,X1] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f171]) ).
fof(f171,plain,
! [X0,X1] :
( ( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) ) )
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f170]) ).
fof(f170,plain,
! [X0,X1] :
( ( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) ) )
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f83,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( sdtlseqdt0(X1,X0)
=> ( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
=> aElementOf0(X2,sdtlpdtrp0(xN,X1)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3754) ).
fof(f4801,plain,
spl96_412,
inference(avatar_split_clause,[],[f1028,f4799]) ).
fof(f4799,plain,
( spl96_412
<=> ! [X4,X0,X3,X1] :
( sdtlpdtrp0(X1,X4) = X0
| aElementOf0(sK61(X3,X4),X4)
| ~ aSet0(X4)
| ~ sP21(X0,X1,sbrdtbr0(X4),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_412])]) ).
fof(f1028,plain,
! [X3,X0,X1,X4] :
( sdtlpdtrp0(X1,X4) = X0
| aElementOf0(sK61(X3,X4),X4)
| ~ aSet0(X4)
| ~ sP21(X0,X1,sbrdtbr0(X4),X3) ),
inference(equality_resolution,[],[f770]) ).
fof(f770,plain,
! [X2,X3,X0,X1,X4] :
( sdtlpdtrp0(X1,X4) = X0
| sbrdtbr0(X4) != X2
| aElementOf0(sK61(X3,X4),X4)
| ~ aSet0(X4)
| ~ sP21(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f419]) ).
fof(f419,plain,
! [X0,X1,X2,X3] :
( ! [X4] :
( sdtlpdtrp0(X1,X4) = X0
| ( ~ aElementOf0(X4,slbdtsldtrb0(X3,X2))
& ( sbrdtbr0(X4) != X2
| ( ~ aSubsetOf0(X4,X3)
& ( ( ~ aElementOf0(sK61(X3,X4),X3)
& aElementOf0(sK61(X3,X4),X4) )
| ~ aSet0(X4) ) ) ) ) )
| ~ sP21(X0,X1,X2,X3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK61])],[f417,f418]) ).
fof(f418,plain,
! [X3,X4] :
( ? [X5] :
( ~ aElementOf0(X5,X3)
& aElementOf0(X5,X4) )
=> ( ~ aElementOf0(sK61(X3,X4),X3)
& aElementOf0(sK61(X3,X4),X4) ) ),
introduced(choice_axiom,[]) ).
fof(f417,plain,
! [X0,X1,X2,X3] :
( ! [X4] :
( sdtlpdtrp0(X1,X4) = X0
| ( ~ aElementOf0(X4,slbdtsldtrb0(X3,X2))
& ( sbrdtbr0(X4) != X2
| ( ~ aSubsetOf0(X4,X3)
& ( ? [X5] :
( ~ aElementOf0(X5,X3)
& aElementOf0(X5,X4) )
| ~ aSet0(X4) ) ) ) ) )
| ~ sP21(X0,X1,X2,X3) ),
inference(rectify,[],[f416]) ).
fof(f416,plain,
! [X10,X3,X0,X11] :
( ! [X12] :
( sdtlpdtrp0(X3,X12) = X10
| ( ~ aElementOf0(X12,slbdtsldtrb0(X11,X0))
& ( sbrdtbr0(X12) != X0
| ( ~ aSubsetOf0(X12,X11)
& ( ? [X13] :
( ~ aElementOf0(X13,X11)
& aElementOf0(X13,X12) )
| ~ aSet0(X12) ) ) ) ) )
| ~ sP21(X10,X3,X0,X11) ),
inference(nnf_transformation,[],[f296]) ).
fof(f296,plain,
! [X10,X3,X0,X11] :
( ! [X12] :
( sdtlpdtrp0(X3,X12) = X10
| ( ~ aElementOf0(X12,slbdtsldtrb0(X11,X0))
& ( sbrdtbr0(X12) != X0
| ( ~ aSubsetOf0(X12,X11)
& ( ? [X13] :
( ~ aElementOf0(X13,X11)
& aElementOf0(X13,X12) )
| ~ aSet0(X12) ) ) ) ) )
| ~ sP21(X10,X3,X0,X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f4797,plain,
spl96_411,
inference(avatar_split_clause,[],[f1027,f4795]) ).
fof(f4795,plain,
( spl96_411
<=> ! [X4,X0,X3,X1] :
( sdtlpdtrp0(X1,X4) = X0
| ~ aElementOf0(sK61(X3,X4),X3)
| ~ aSet0(X4)
| ~ sP21(X0,X1,sbrdtbr0(X4),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_411])]) ).
fof(f1027,plain,
! [X3,X0,X1,X4] :
( sdtlpdtrp0(X1,X4) = X0
| ~ aElementOf0(sK61(X3,X4),X3)
| ~ aSet0(X4)
| ~ sP21(X0,X1,sbrdtbr0(X4),X3) ),
inference(equality_resolution,[],[f771]) ).
fof(f771,plain,
! [X2,X3,X0,X1,X4] :
( sdtlpdtrp0(X1,X4) = X0
| sbrdtbr0(X4) != X2
| ~ aElementOf0(sK61(X3,X4),X3)
| ~ aSet0(X4)
| ~ sP21(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f419]) ).
fof(f4793,plain,
spl96_410,
inference(avatar_split_clause,[],[f1014,f4791]) ).
fof(f4791,plain,
( spl96_410
<=> ! [X2,X0,X1] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_410])]) ).
fof(f1014,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f270]) ).
fof(f270,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f269]) ).
fof(f269,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0,X1,X2] :
( ( aElementOf0(X2,szNzAzT0)
& aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X0,X1) )
=> sdtlseqdt0(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessTrans) ).
fof(f4789,plain,
spl96_409,
inference(avatar_split_clause,[],[f1010,f4787]) ).
fof(f4787,plain,
( spl96_409
<=> ! [X0,X1] :
( X0 = X1
| aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_409])]) ).
fof(f1010,plain,
! [X0,X1] :
( X0 = X1
| aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f565]) ).
fof(f565,plain,
! [X0,X1] :
( ( ( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
| ( X0 != X1
& ~ aElementOf0(X0,slbdtrb0(X1)) ) )
& ( X0 = X1
| aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1))) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f564]) ).
fof(f564,plain,
! [X0,X1] :
( ( ( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
| ( X0 != X1
& ~ aElementOf0(X0,slbdtrb0(X1)) ) )
& ( X0 = X1
| aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1))) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(nnf_transformation,[],[f266]) ).
fof(f266,plain,
! [X0,X1] :
( ( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
<=> ( X0 = X1
| aElementOf0(X0,slbdtrb0(X1)) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f265]) ).
fof(f265,plain,
! [X0,X1] :
( ( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
<=> ( X0 = X1
| aElementOf0(X0,slbdtrb0(X1)) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
<=> ( X0 = X1
| aElementOf0(X0,slbdtrb0(X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSegSucc) ).
fof(f4785,plain,
spl96_408,
inference(avatar_split_clause,[],[f998,f4783]) ).
fof(f4783,plain,
( spl96_408
<=> ! [X2,X0,X1] :
( sP46(X0,X1,X2)
| aSubsetOf0(sK95(X0,X1,X2),X1)
| aElementOf0(sK95(X0,X1,X2),X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_408])]) ).
fof(f998,plain,
! [X2,X0,X1] :
( sP46(X0,X1,X2)
| aSubsetOf0(sK95(X0,X1,X2),X1)
| aElementOf0(sK95(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f561]) ).
fof(f4781,plain,
spl96_407,
inference(avatar_split_clause,[],[f989,f4779]) ).
fof(f4779,plain,
( spl96_407
<=> ! [X2,X0,X1] :
( aSubsetOf0(sK94(X0,X1,X2),X0)
| ~ isFinite0(X2)
| ~ aSubsetOf0(X2,slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_407])]) ).
fof(f989,plain,
! [X2,X0,X1] :
( aSubsetOf0(sK94(X0,X1,X2),X0)
| ~ isFinite0(X2)
| ~ aSubsetOf0(X2,slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f555]) ).
fof(f4777,plain,
spl96_406,
inference(avatar_split_clause,[],[f948,f4775]) ).
fof(f4775,plain,
( spl96_406
<=> ! [X0,X1] :
( szmzizndt0(X0) = X1
| ~ sdtlseqdt0(X1,sK88(X0,X1))
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_406])]) ).
fof(f948,plain,
! [X0,X1] :
( szmzizndt0(X0) = X1
| ~ sdtlseqdt0(X1,sK88(X0,X1))
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f526]) ).
fof(f526,plain,
! [X0] :
( ! [X1] :
( ( szmzizndt0(X0) = X1
| ( ~ sdtlseqdt0(X1,sK88(X0,X1))
& aElementOf0(sK88(X0,X1),X0) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X3] :
( sdtlseqdt0(X1,X3)
| ~ aElementOf0(X3,X0) )
& aElementOf0(X1,X0) )
| szmzizndt0(X0) != X1 ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK88])],[f524,f525]) ).
fof(f525,plain,
! [X0,X1] :
( ? [X2] :
( ~ sdtlseqdt0(X1,X2)
& aElementOf0(X2,X0) )
=> ( ~ sdtlseqdt0(X1,sK88(X0,X1))
& aElementOf0(sK88(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f524,plain,
! [X0] :
( ! [X1] :
( ( szmzizndt0(X0) = X1
| ? [X2] :
( ~ sdtlseqdt0(X1,X2)
& aElementOf0(X2,X0) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X3] :
( sdtlseqdt0(X1,X3)
| ~ aElementOf0(X3,X0) )
& aElementOf0(X1,X0) )
| szmzizndt0(X0) != X1 ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(rectify,[],[f523]) ).
fof(f523,plain,
! [X0] :
( ! [X1] :
( ( szmzizndt0(X0) = X1
| ? [X2] :
( ~ sdtlseqdt0(X1,X2)
& aElementOf0(X2,X0) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) )
| szmzizndt0(X0) != X1 ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(flattening,[],[f522]) ).
fof(f522,plain,
! [X0] :
( ! [X1] :
( ( szmzizndt0(X0) = X1
| ? [X2] :
( ~ sdtlseqdt0(X1,X2)
& aElementOf0(X2,X0) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) )
| szmzizndt0(X0) != X1 ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(nnf_transformation,[],[f233]) ).
fof(f233,plain,
! [X0] :
( ! [X1] :
( szmzizndt0(X0) = X1
<=> ( ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(flattening,[],[f232]) ).
fof(f232,plain,
! [X0] :
( ! [X1] :
( szmzizndt0(X0) = X1
<=> ( ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,axiom,
! [X0] :
( ( slcrc0 != X0
& aSubsetOf0(X0,szNzAzT0) )
=> ! [X1] :
( szmzizndt0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X0)
=> sdtlseqdt0(X1,X2) )
& aElementOf0(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefMin) ).
fof(f4773,plain,
spl96_405,
inference(avatar_split_clause,[],[f947,f4771]) ).
fof(f4771,plain,
( spl96_405
<=> ! [X0,X1] :
( szmzizndt0(X0) = X1
| aElementOf0(sK88(X0,X1),X0)
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_405])]) ).
fof(f947,plain,
! [X0,X1] :
( szmzizndt0(X0) = X1
| aElementOf0(sK88(X0,X1),X0)
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f526]) ).
fof(f4767,plain,
spl96_404,
inference(avatar_split_clause,[],[f885,f4765]) ).
fof(f4765,plain,
( spl96_404
<=> ! [X2,X0,X1] :
( sP38(X0,X1,X2)
| aElementOf0(sK79(X0,X1,X2),X1)
| aElementOf0(sK78(X0,X1,X2),X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_404])]) ).
fof(f885,plain,
! [X2,X0,X1] :
( sP38(X0,X1,X2)
| aElementOf0(sK79(X0,X1,X2),X1)
| aElementOf0(sK78(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f497]) ).
fof(f4763,plain,
spl96_403,
inference(avatar_split_clause,[],[f849,f4761]) ).
fof(f4761,plain,
( spl96_403
<=> ! [X0,X1] :
( aElementOf0(sK75(X0,X1),sdtlpdtrp0(xN,X1))
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X1))
| ~ sP35(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_403])]) ).
fof(f849,plain,
! [X0,X1] :
( aElementOf0(sK75(X0,X1),sdtlpdtrp0(xN,X1))
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X1))
| ~ sP35(X0,X1) ),
inference(cnf_transformation,[],[f479]) ).
fof(f4759,plain,
spl96_402,
inference(avatar_split_clause,[],[f836,f4757]) ).
fof(f4757,plain,
( spl96_402
<=> ! [X0,X3,X2,X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X1),X3) = X0
| ~ aElementOf0(X3,slbdtsldtrb0(X2,xk))
| ~ aSet0(X3)
| ~ sP32(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_402])]) ).
fof(f836,plain,
! [X2,X3,X0,X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X1),X3) = X0
| ~ aElementOf0(X3,slbdtsldtrb0(X2,xk))
| ~ aSet0(X3)
| ~ sP32(X0,X1,X2) ),
inference(cnf_transformation,[],[f466]) ).
fof(f4755,plain,
spl96_401,
inference(avatar_split_clause,[],[f829,f4753]) ).
fof(f4753,plain,
( spl96_401
<=> ! [X0,X1,X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X3,sK71(X0,X1))
| ~ sP33(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_401])]) ).
fof(f829,plain,
! [X3,X0,X1] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X3,sK71(X0,X1))
| ~ sP33(X0,X1) ),
inference(cnf_transformation,[],[f462]) ).
fof(f462,plain,
! [X0,X1] :
( ( sP32(X1,X0,sK71(X0,X1))
& isCountable0(sK71(X0,X1))
& aSubsetOf0(sK71(X0,X1),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X3,sK71(X0,X1)) )
& aSet0(sK71(X0,X1))
& sP31(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X4] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4)
| ~ aElementOf0(X4,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ sP33(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK71])],[f460,f461]) ).
fof(f461,plain,
! [X0,X1] :
( ? [X2] :
( sP32(X1,X0,X2)
& isCountable0(X2)
& aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X3,X2) )
& aSet0(X2)
& sP31(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X4] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4)
| ~ aElementOf0(X4,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
=> ( sP32(X1,X0,sK71(X0,X1))
& isCountable0(sK71(X0,X1))
& aSubsetOf0(sK71(X0,X1),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X3,sK71(X0,X1)) )
& aSet0(sK71(X0,X1))
& sP31(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X4] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4)
| ~ aElementOf0(X4,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f460,plain,
! [X0,X1] :
( ? [X2] :
( sP32(X1,X0,X2)
& isCountable0(X2)
& aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X3,X2) )
& aSet0(X2)
& sP31(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X4] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4)
| ~ aElementOf0(X4,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ sP33(X0,X1) ),
inference(rectify,[],[f459]) ).
fof(f459,plain,
! [X0,X1] :
( ? [X2] :
( sP32(X1,X0,X2)
& isCountable0(X2)
& aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X5] :
( aElementOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X5,X2) )
& aSet0(X2)
& sP31(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X7] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X7)
| ~ aElementOf0(X7,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ sP33(X0,X1) ),
inference(nnf_transformation,[],[f311]) ).
fof(f311,plain,
! [X0,X1] :
( ? [X2] :
( sP32(X1,X0,X2)
& isCountable0(X2)
& aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X5] :
( aElementOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X5,X2) )
& aSet0(X2)
& sP31(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X7] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X7)
| ~ aElementOf0(X7,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ sP33(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f4751,plain,
spl96_400,
inference(avatar_split_clause,[],[f646,f4749]) ).
fof(f4749,plain,
( spl96_400
<=> ! [X0,X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ sP10(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_400])]) ).
fof(f646,plain,
! [X0,X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ sP10(X0) ),
inference(cnf_transformation,[],[f368]) ).
fof(f368,plain,
! [X0] :
( ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& sP9(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ sP10(X0) ),
inference(rectify,[],[f367]) ).
fof(f367,plain,
! [X0] :
( ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& sP9(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X4] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4)
| ~ aElementOf0(X4,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ sP10(X0) ),
inference(nnf_transformation,[],[f282]) ).
fof(f282,plain,
! [X0] :
( ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& sP9(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X4] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4)
| ~ aElementOf0(X4,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ sP10(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f4747,plain,
spl96_399,
inference(avatar_split_clause,[],[f600,f4745]) ).
fof(f4745,plain,
( spl96_399
<=> ! [X2,X0,X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| sP4(X0,X1)
| ~ aSet0(X1)
| ~ sP7(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_399])]) ).
fof(f600,plain,
! [X2,X0,X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| sP4(X0,X1)
| ~ aSet0(X1)
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f344]) ).
fof(f4725,plain,
spl96_398,
inference(avatar_split_clause,[],[f854,f4723]) ).
fof(f4723,plain,
( spl96_398
<=> ! [X0,X1] :
( szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1))
| X0 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_398])]) ).
fof(f854,plain,
! [X0,X1] :
( szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1))
| X0 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f316]) ).
fof(f4721,plain,
spl96_397,
inference(avatar_split_clause,[],[f817,f4719]) ).
fof(f4719,plain,
( spl96_397
<=> ! [X2,X0,X1] :
( sP28(X0,X2)
| ~ aElementOf0(X2,slbdtsldtrb0(X1,xk))
| ~ aSet0(X2)
| ~ isCountable0(X1)
| sP29(X0,X1)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_397])]) ).
fof(f817,plain,
! [X2,X0,X1] :
( sP28(X0,X2)
| ~ aElementOf0(X2,slbdtsldtrb0(X1,xk))
| ~ aSet0(X2)
| ~ isCountable0(X1)
| sP29(X0,X1)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f452]) ).
fof(f4717,plain,
( spl96_396
| ~ spl96_63
| ~ spl96_306 ),
inference(avatar_split_clause,[],[f4533,f3124,f1377,f4714]) ).
fof(f4714,plain,
( spl96_396
<=> sP34(sK56) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_396])]) ).
fof(f3124,plain,
( spl96_306
<=> aElementOf0(sK56,xO) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_306])]) ).
fof(f4533,plain,
( sP34(sK56)
| ~ spl96_63
| ~ spl96_306 ),
inference(resolution,[],[f3126,f1378]) ).
fof(f3126,plain,
( aElementOf0(sK56,xO)
| ~ spl96_306 ),
inference(avatar_component_clause,[],[f3124]) ).
fof(f4468,plain,
spl96_395,
inference(avatar_split_clause,[],[f990,f4466]) ).
fof(f4466,plain,
( spl96_395
<=> ! [X2,X0,X1] :
( isFinite0(sK94(X0,X1,X2))
| ~ isFinite0(X2)
| ~ aSubsetOf0(X2,slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_395])]) ).
fof(f990,plain,
! [X2,X0,X1] :
( isFinite0(sK94(X0,X1,X2))
| ~ isFinite0(X2)
| ~ aSubsetOf0(X2,slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f555]) ).
fof(f4464,plain,
spl96_394,
inference(avatar_split_clause,[],[f988,f4462]) ).
fof(f4462,plain,
( spl96_394
<=> ! [X0,X1] :
( sbrdtbr0(sK93(X0,X1)) = X1
| ~ sdtlseqdt0(X1,sbrdtbr0(X0))
| ~ isFinite0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_394])]) ).
fof(f988,plain,
! [X0,X1] :
( sbrdtbr0(sK93(X0,X1)) = X1
| ~ sdtlseqdt0(X1,sbrdtbr0(X0))
| ~ isFinite0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f553]) ).
fof(f553,plain,
! [X0,X1] :
( ( sbrdtbr0(sK93(X0,X1)) = X1
& aSubsetOf0(sK93(X0,X1),X0) )
| ~ sdtlseqdt0(X1,sbrdtbr0(X0))
| ~ isFinite0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK93])],[f248,f552]) ).
fof(f552,plain,
! [X0,X1] :
( ? [X2] :
( sbrdtbr0(X2) = X1
& aSubsetOf0(X2,X0) )
=> ( sbrdtbr0(sK93(X0,X1)) = X1
& aSubsetOf0(sK93(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f248,plain,
! [X0,X1] :
( ? [X2] :
( sbrdtbr0(X2) = X1
& aSubsetOf0(X2,X0) )
| ~ sdtlseqdt0(X1,sbrdtbr0(X0))
| ~ isFinite0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(flattening,[],[f247]) ).
fof(f247,plain,
! [X0,X1] :
( ? [X2] :
( sbrdtbr0(X2) = X1
& aSubsetOf0(X2,X0) )
| ~ sdtlseqdt0(X1,sbrdtbr0(X0))
| ~ isFinite0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aSet0(X0) )
=> ( ( sdtlseqdt0(X1,sbrdtbr0(X0))
& isFinite0(X0) )
=> ? [X2] :
( sbrdtbr0(X2) = X1
& aSubsetOf0(X2,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardSubEx) ).
fof(f4460,plain,
spl96_393,
inference(avatar_split_clause,[],[f933,f4458]) ).
fof(f4458,plain,
( spl96_393
<=> ! [X0,X1] :
( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| aElementOf0(X1,X0)
| ~ aElement0(X1)
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_393])]) ).
fof(f933,plain,
! [X0,X1] :
( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| aElementOf0(X1,X0)
| ~ aElement0(X1)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f217]) ).
fof(f217,plain,
! [X0] :
( ! [X1] :
( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| aElementOf0(X1,X0)
| ~ aElement0(X1) )
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f216]) ).
fof(f216,plain,
! [X0] :
( ! [X1] :
( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| aElementOf0(X1,X0)
| ~ aElement0(X1) )
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,axiom,
! [X0] :
( ( isFinite0(X0)
& aSet0(X0) )
=> ! [X1] :
( aElement0(X1)
=> ( ~ aElementOf0(X1,X0)
=> sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardCons) ).
fof(f4450,plain,
spl96_392,
inference(avatar_split_clause,[],[f893,f4448]) ).
fof(f4448,plain,
( spl96_392
<=> ! [X0,X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| sK81(X0) != sK82(X0)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_392])]) ).
fof(f893,plain,
! [X0,X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| sK81(X0) != sK82(X0)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f499]) ).
fof(f4446,plain,
spl96_391,
inference(avatar_split_clause,[],[f892,f4444]) ).
fof(f4444,plain,
( spl96_391
<=> ! [X0,X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| aElementOf0(sK82(X0),szDzozmdt0(X0))
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_391])]) ).
fof(f892,plain,
! [X0,X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| aElementOf0(sK82(X0),szDzozmdt0(X0))
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f499]) ).
fof(f4442,plain,
spl96_390,
inference(avatar_split_clause,[],[f891,f4440]) ).
fof(f4440,plain,
( spl96_390
<=> ! [X0,X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| aElementOf0(sK81(X0),szDzozmdt0(X0))
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_390])]) ).
fof(f891,plain,
! [X0,X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| aElementOf0(sK81(X0),szDzozmdt0(X0))
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f499]) ).
fof(f4438,plain,
spl96_389,
inference(avatar_split_clause,[],[f838,f4436]) ).
fof(f4436,plain,
( spl96_389
<=> ! [X0,X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP31(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_389])]) ).
fof(f838,plain,
! [X0,X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP31(X0) ),
inference(cnf_transformation,[],[f469]) ).
fof(f4434,plain,
spl96_388,
inference(avatar_split_clause,[],[f811,f4432]) ).
fof(f4432,plain,
( spl96_388
<=> ! [X0,X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP25(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_388])]) ).
fof(f811,plain,
! [X0,X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP25(X0) ),
inference(cnf_transformation,[],[f449]) ).
fof(f4430,plain,
spl96_387,
inference(avatar_split_clause,[],[f809,f4428]) ).
fof(f4428,plain,
( spl96_387
<=> ! [X0,X1] :
( ~ aElementOf0(sK67(X0,X1),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aSet0(X1)
| ~ sP26(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_387])]) ).
fof(f809,plain,
! [X0,X1] :
( ~ aElementOf0(sK67(X0,X1),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aSet0(X1)
| ~ sP26(X0,X1) ),
inference(cnf_transformation,[],[f446]) ).
fof(f446,plain,
! [X0,X1] :
( ( ~ aElementOf0(sK67(X0,X1),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(sK67(X0,X1),X1) )
| ~ aSet0(X1)
| ~ sP26(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK67])],[f444,f445]) ).
fof(f445,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK67(X0,X1),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(sK67(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f444,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X2,X1) )
| ~ aSet0(X1)
| ~ sP26(X0,X1) ),
inference(rectify,[],[f443]) ).
fof(f443,plain,
! [X0,X1] :
( ? [X4] :
( ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X4,X1) )
| ~ aSet0(X1)
| ~ sP26(X0,X1) ),
inference(nnf_transformation,[],[f302]) ).
fof(f4426,plain,
spl96_386,
inference(avatar_split_clause,[],[f805,f4424]) ).
fof(f4424,plain,
( spl96_386
<=> ! [X0,X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP27(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_386])]) ).
fof(f805,plain,
! [X0,X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP27(X0) ),
inference(cnf_transformation,[],[f442]) ).
fof(f4422,plain,
spl96_385,
inference(avatar_split_clause,[],[f753,f4420]) ).
fof(f4420,plain,
( spl96_385
<=> ! [X0,X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP12(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_385])]) ).
fof(f753,plain,
! [X0,X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP12(X0) ),
inference(cnf_transformation,[],[f405]) ).
fof(f4418,plain,
spl96_384,
inference(avatar_split_clause,[],[f751,f4416]) ).
fof(f4416,plain,
( spl96_384
<=> ! [X0,X1] :
( sbrdtbr0(X0) != xk
| ~ aSubsetOf0(X0,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ sP13(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_384])]) ).
fof(f751,plain,
! [X0,X1] :
( sbrdtbr0(X0) != xk
| ~ aSubsetOf0(X0,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ sP13(X0,X1) ),
inference(cnf_transformation,[],[f402]) ).
fof(f4414,plain,
spl96_383,
inference(avatar_split_clause,[],[f650,f4412]) ).
fof(f4412,plain,
( spl96_383
<=> ! [X0,X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP9(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_383])]) ).
fof(f650,plain,
! [X0,X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP9(X0) ),
inference(cnf_transformation,[],[f371]) ).
fof(f4410,plain,
( spl96_382
| ~ spl96_94
| ~ spl96_158 ),
inference(avatar_split_clause,[],[f1926,f1919,f1529,f4407]) ).
fof(f1926,plain,
( aElementOf0(sK76,szNzAzT0)
| ~ spl96_94
| ~ spl96_158 ),
inference(resolution,[],[f1920,f1531]) ).
fof(f4405,plain,
spl96_381,
inference(avatar_split_clause,[],[f625,f4403]) ).
fof(f4403,plain,
( spl96_381
<=> ! [X0,X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_381])]) ).
fof(f625,plain,
! [X0,X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f362]) ).
fof(f4401,plain,
spl96_380,
inference(avatar_split_clause,[],[f623,f4399]) ).
fof(f4399,plain,
( spl96_380
<=> ! [X0,X1] :
( sbrdtbr0(X0) != xk
| ~ aSubsetOf0(X0,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_380])]) ).
fof(f623,plain,
! [X0,X1] :
( sbrdtbr0(X0) != xk
| ~ aSubsetOf0(X0,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f359]) ).
fof(f4397,plain,
spl96_379,
inference(avatar_split_clause,[],[f608,f4395]) ).
fof(f4395,plain,
( spl96_379
<=> ! [X0,X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP5(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_379])]) ).
fof(f608,plain,
! [X0,X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f351]) ).
fof(f4393,plain,
spl96_378,
inference(avatar_split_clause,[],[f597,f4391]) ).
fof(f597,plain,
! [X0] :
( slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk) = szDzozmdt0(sdtlpdtrp0(xC,X0))
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f342]) ).
fof(f342,plain,
! [X0] :
( ( sP7(X0)
& slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk) = szDzozmdt0(sdtlpdtrp0(xC,X0))
& sP6(X0)
& sP5(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X1)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& aFunction0(sdtlpdtrp0(xC,X0)) )
| ~ sP8(X0) ),
inference(rectify,[],[f341]) ).
fof(f341,plain,
! [X0] :
( ( sP7(X0)
& slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk) = szDzozmdt0(sdtlpdtrp0(xC,X0))
& sP6(X0)
& sP5(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X11] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X11)
| ~ aElementOf0(X11,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& aFunction0(sdtlpdtrp0(xC,X0)) )
| ~ sP8(X0) ),
inference(nnf_transformation,[],[f279]) ).
fof(f279,plain,
! [X0] :
( ( sP7(X0)
& slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk) = szDzozmdt0(sdtlpdtrp0(xC,X0))
& sP6(X0)
& sP5(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X11] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X11)
| ~ aElementOf0(X11,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& aFunction0(sdtlpdtrp0(xC,X0)) )
| ~ sP8(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f4139,plain,
( spl96_377
| ~ spl96_26
| ~ spl96_108 ),
inference(avatar_split_clause,[],[f1642,f1597,f1201,f4136]) ).
fof(f4136,plain,
( spl96_377
<=> sdtlseqdt0(sz00,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_377])]) ).
fof(f1642,plain,
( sdtlseqdt0(sz00,xk)
| ~ spl96_26
| ~ spl96_108 ),
inference(resolution,[],[f1598,f1203]) ).
fof(f4134,plain,
spl96_376,
inference(avatar_split_clause,[],[f987,f4132]) ).
fof(f4132,plain,
( spl96_376
<=> ! [X0,X1] :
( aSubsetOf0(sK93(X0,X1),X0)
| ~ sdtlseqdt0(X1,sbrdtbr0(X0))
| ~ isFinite0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_376])]) ).
fof(f987,plain,
! [X0,X1] :
( aSubsetOf0(sK93(X0,X1),X0)
| ~ sdtlseqdt0(X1,sbrdtbr0(X0))
| ~ isFinite0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f553]) ).
fof(f4130,plain,
spl96_375,
inference(avatar_split_clause,[],[f980,f4128]) ).
fof(f980,plain,
! [X2,X0,X1] :
( sP45(X0,X1,X2)
| aElementOf0(sK92(X0,X1,X2),X1)
| aElementOf0(sK92(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f549]) ).
fof(f4126,plain,
spl96_374,
inference(avatar_split_clause,[],[f928,f4124]) ).
fof(f4124,plain,
( spl96_374
<=> ! [X0,X1] :
( sP40(X0,X1)
| sdtlseqdt0(szszuzczcdt0(sK85(X0,X1)),X0)
| aElementOf0(sK85(X0,X1),X1)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_374])]) ).
fof(f928,plain,
! [X0,X1] :
( sP40(X0,X1)
| sdtlseqdt0(szszuzczcdt0(sK85(X0,X1)),X0)
| aElementOf0(sK85(X0,X1),X1)
| ~ aSet0(X1) ),
inference(cnf_transformation,[],[f514]) ).
fof(f4122,plain,
spl96_373,
inference(avatar_split_clause,[],[f801,f4120]) ).
fof(f4120,plain,
( spl96_373
<=> ! [X2,X0,X1] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X2,X1)
| ~ sP28(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_373])]) ).
fof(f801,plain,
! [X2,X0,X1] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X2,X1)
| ~ sP28(X0,X1) ),
inference(cnf_transformation,[],[f439]) ).
fof(f439,plain,
! [X0,X1] :
( ( aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X2,X1) )
& sP27(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X3] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X3)
| ~ aElementOf0(X3,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ sP28(X0,X1) ),
inference(rectify,[],[f438]) ).
fof(f438,plain,
! [X0,X5] :
( ( aElementOf0(X5,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& aSubsetOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X7] :
( aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X7,X5) )
& sP27(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X9] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X9)
| ~ aElementOf0(X9,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ sP28(X0,X5) ),
inference(nnf_transformation,[],[f304]) ).
fof(f4118,plain,
spl96_372,
inference(avatar_split_clause,[],[f747,f4116]) ).
fof(f4116,plain,
( spl96_372
<=> ! [X2,X0,X1] :
( aElementOf0(X2,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X2,X1)
| ~ aElement0(X2)
| ~ sP14(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_372])]) ).
fof(f747,plain,
! [X2,X0,X1] :
( aElementOf0(X2,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X2,X1)
| ~ aElement0(X2)
| ~ sP14(X0,X1) ),
inference(cnf_transformation,[],[f398]) ).
fof(f4114,plain,
spl96_371,
inference(avatar_split_clause,[],[f619,f4112]) ).
fof(f4112,plain,
( spl96_371
<=> ! [X2,X0,X1] :
( aElementOf0(X2,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X2,X1)
| ~ aElement0(X2)
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_371])]) ).
fof(f619,plain,
! [X2,X0,X1] :
( aElementOf0(X2,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X2,X1)
| ~ aElement0(X2)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f355]) ).
fof(f4091,plain,
spl96_370,
inference(avatar_split_clause,[],[f856,f4089]) ).
fof(f4089,plain,
( spl96_370
<=> ! [X0,X1] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_370])]) ).
fof(f856,plain,
! [X0,X1] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f171]) ).
fof(f4087,plain,
spl96_369,
inference(avatar_split_clause,[],[f729,f4085]) ).
fof(f4085,plain,
( spl96_369
<=> ! [X0,X1] :
( aElementOf0(X1,xT)
| ~ aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_369])]) ).
fof(f729,plain,
! [X0,X1] :
( aElementOf0(X1,xT)
| ~ aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f285]) ).
fof(f285,plain,
! [X0] :
( ( aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))),xT)
& ! [X1] :
( aElementOf0(X1,xT)
| ~ aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0)))) )
& sP11(X0)
& aSet0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0)))) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(definition_folding,[],[f156,f284]) ).
fof(f156,plain,
! [X0] :
( ( aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))),xT)
& ! [X1] :
( aElementOf0(X1,xT)
| ~ aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0)))) )
& ! [X2] :
( aElementOf0(X2,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
<=> ? [X3] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X3) = X2
& aElementOf0(X3,szDzozmdt0(sdtlpdtrp0(xC,X0))) ) )
& aSet0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0)))) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))),xT)
& ! [X1] :
( aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
=> aElementOf0(X1,xT) )
& ! [X2] :
( aElementOf0(X2,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
<=> ? [X3] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X3) = X2
& aElementOf0(X3,szDzozmdt0(sdtlpdtrp0(xC,X0))) ) )
& aSet0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0)))) ) ),
inference(rectify,[],[f87]) ).
fof(f87,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))),xT)
& ! [X1] :
( aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
=> aElementOf0(X1,xT) )
& ! [X1] :
( aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
<=> ? [X2] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) = X1
& aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X0))) ) )
& aSet0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4182) ).
fof(f4083,plain,
( spl96_368
| ~ spl96_23
| ~ spl96_108 ),
inference(avatar_split_clause,[],[f1641,f1597,f1186,f4080]) ).
fof(f4080,plain,
( spl96_368
<=> sdtlseqdt0(sz00,xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_368])]) ).
fof(f1641,plain,
( sdtlseqdt0(sz00,xK)
| ~ spl96_23
| ~ spl96_108 ),
inference(resolution,[],[f1598,f1188]) ).
fof(f4047,plain,
( spl96_367
| ~ spl96_26
| ~ spl96_107 ),
inference(avatar_split_clause,[],[f1638,f1593,f1201,f4044]) ).
fof(f4044,plain,
( spl96_367
<=> sdtlseqdt0(xk,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_367])]) ).
fof(f1638,plain,
( sdtlseqdt0(xk,xk)
| ~ spl96_26
| ~ spl96_107 ),
inference(resolution,[],[f1594,f1203]) ).
fof(f3708,plain,
( spl96_366
| ~ spl96_23
| ~ spl96_107 ),
inference(avatar_split_clause,[],[f1637,f1593,f1186,f3705]) ).
fof(f3705,plain,
( spl96_366
<=> sdtlseqdt0(xK,xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_366])]) ).
fof(f1637,plain,
( sdtlseqdt0(xK,xK)
| ~ spl96_23
| ~ spl96_107 ),
inference(resolution,[],[f1594,f1188]) ).
fof(f3642,plain,
( spl96_365
| ~ spl96_26
| ~ spl96_106 ),
inference(avatar_split_clause,[],[f1633,f1589,f1201,f3639]) ).
fof(f3639,plain,
( spl96_365
<=> isFinite0(slbdtrb0(xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_365])]) ).
fof(f1633,plain,
( isFinite0(slbdtrb0(xk))
| ~ spl96_26
| ~ spl96_106 ),
inference(resolution,[],[f1590,f1203]) ).
fof(f3621,plain,
spl96_364,
inference(avatar_split_clause,[],[f1073,f3619]) ).
fof(f3619,plain,
( spl96_364
<=> ! [X2,X0,X1] :
( sP44(X0,X1,X2)
| sK91(X0,X1,X2) != X0
| ~ aElement0(X0)
| ~ aElementOf0(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_364])]) ).
fof(f1073,plain,
! [X2,X0,X1] :
( sP44(X0,X1,X2)
| sK91(X0,X1,X2) != X0
| ~ aElement0(X0)
| ~ aElementOf0(X0,X2) ),
inference(inner_rewriting,[],[f971]) ).
fof(f971,plain,
! [X2,X0,X1] :
( sP44(X0,X1,X2)
| sK91(X0,X1,X2) != X0
| ~ aElement0(sK91(X0,X1,X2))
| ~ aElementOf0(sK91(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f542]) ).
fof(f3617,plain,
spl96_363,
inference(avatar_split_clause,[],[f1042,f3615]) ).
fof(f3615,plain,
( spl96_363
<=> ! [X0,X3] :
( sdtlseqdt0(X3,szmzazxdt0(X0))
| ~ aElementOf0(X3,X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_363])]) ).
fof(f1042,plain,
! [X3,X0] :
( sdtlseqdt0(X3,szmzazxdt0(X0))
| ~ aElementOf0(X3,X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f940]) ).
fof(f940,plain,
! [X3,X0,X1] :
( sdtlseqdt0(X3,X1)
| ~ aElementOf0(X3,X0)
| szmzazxdt0(X0) != X1
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f519]) ).
fof(f3613,plain,
spl96_362,
inference(avatar_split_clause,[],[f1036,f3611]) ).
fof(f3611,plain,
( spl96_362
<=> ! [X0,X1] :
( sP36(X0,X1,szDzozmdt0(X0))
| aElementOf0(sK77(X0,X1,szDzozmdt0(X0)),szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_362])]) ).
fof(f1036,plain,
! [X0,X1] :
( sP36(X0,X1,szDzozmdt0(X0))
| aElementOf0(sK77(X0,X1,szDzozmdt0(X0)),szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(equality_resolution,[],[f876]) ).
fof(f876,plain,
! [X2,X0,X1] :
( sP36(X0,X1,X2)
| aElementOf0(sK77(X0,X1,X2),X2)
| szDzozmdt0(X0) != X2
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f488]) ).
fof(f3609,plain,
spl96_361,
inference(avatar_split_clause,[],[f1032,f3607]) ).
fof(f3607,plain,
( spl96_361
<=> ! [X0] :
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP31(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_361])]) ).
fof(f1032,plain,
! [X0] :
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP31(X0) ),
inference(equality_resolution,[],[f839]) ).
fof(f839,plain,
! [X0,X1] :
( szmzizndt0(sdtlpdtrp0(xN,X0)) != X1
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP31(X0) ),
inference(cnf_transformation,[],[f469]) ).
fof(f3605,plain,
spl96_360,
inference(avatar_split_clause,[],[f1031,f3603]) ).
fof(f3603,plain,
( spl96_360
<=> ! [X0] :
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP25(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_360])]) ).
fof(f1031,plain,
! [X0] :
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP25(X0) ),
inference(equality_resolution,[],[f812]) ).
fof(f812,plain,
! [X0,X1] :
( szmzizndt0(sdtlpdtrp0(xN,X0)) != X1
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP25(X0) ),
inference(cnf_transformation,[],[f449]) ).
fof(f3601,plain,
spl96_359,
inference(avatar_split_clause,[],[f1030,f3599]) ).
fof(f3599,plain,
( spl96_359
<=> ! [X0] :
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP27(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_359])]) ).
fof(f1030,plain,
! [X0] :
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP27(X0) ),
inference(equality_resolution,[],[f806]) ).
fof(f806,plain,
! [X0,X1] :
( szmzizndt0(sdtlpdtrp0(xN,X0)) != X1
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP27(X0) ),
inference(cnf_transformation,[],[f442]) ).
fof(f3597,plain,
spl96_358,
inference(avatar_split_clause,[],[f1025,f3595]) ).
fof(f3595,plain,
( spl96_358
<=> ! [X0] :
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP12(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_358])]) ).
fof(f1025,plain,
! [X0] :
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP12(X0) ),
inference(equality_resolution,[],[f754]) ).
fof(f754,plain,
! [X0,X1] :
( szmzizndt0(sdtlpdtrp0(xN,X0)) != X1
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP12(X0) ),
inference(cnf_transformation,[],[f405]) ).
fof(f3593,plain,
spl96_357,
inference(avatar_split_clause,[],[f1019,f3591]) ).
fof(f3591,plain,
( spl96_357
<=> ! [X0] :
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP9(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_357])]) ).
fof(f1019,plain,
! [X0] :
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP9(X0) ),
inference(equality_resolution,[],[f651]) ).
fof(f651,plain,
! [X0,X1] :
( szmzizndt0(sdtlpdtrp0(xN,X0)) != X1
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP9(X0) ),
inference(cnf_transformation,[],[f371]) ).
fof(f3589,plain,
spl96_356,
inference(avatar_split_clause,[],[f1018,f3587]) ).
fof(f3587,plain,
( spl96_356
<=> ! [X0] :
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_356])]) ).
fof(f1018,plain,
! [X0] :
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP1(X0) ),
inference(equality_resolution,[],[f626]) ).
fof(f626,plain,
! [X0,X1] :
( szmzizndt0(sdtlpdtrp0(xN,X0)) != X1
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f362]) ).
fof(f3585,plain,
( spl96_355
| ~ spl96_23
| ~ spl96_106 ),
inference(avatar_split_clause,[],[f1632,f1589,f1186,f3582]) ).
fof(f3582,plain,
( spl96_355
<=> isFinite0(slbdtrb0(xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_355])]) ).
fof(f1632,plain,
( isFinite0(slbdtrb0(xK))
| ~ spl96_23
| ~ spl96_106 ),
inference(resolution,[],[f1590,f1188]) ).
fof(f3580,plain,
spl96_354,
inference(avatar_split_clause,[],[f1016,f3578]) ).
fof(f1016,plain,
! [X0] :
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP5(X0) ),
inference(equality_resolution,[],[f609]) ).
fof(f609,plain,
! [X0,X1] :
( szmzizndt0(sdtlpdtrp0(xN,X0)) != X1
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f351]) ).
fof(f3576,plain,
spl96_353,
inference(avatar_split_clause,[],[f1013,f3574]) ).
fof(f3574,plain,
( spl96_353
<=> ! [X2,X0,X1] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_353])]) ).
fof(f1013,plain,
! [X2,X0,X1] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f268]) ).
fof(f268,plain,
! [X0,X1,X2] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f267]) ).
fof(f267,plain,
! [X0,X1,X2] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aSet0(X2)
& aSet0(X1)
& aSet0(X0) )
=> ( ( aSubsetOf0(X1,X2)
& aSubsetOf0(X0,X1) )
=> aSubsetOf0(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubTrans) ).
fof(f3572,plain,
spl96_352,
inference(avatar_split_clause,[],[f1011,f3570]) ).
fof(f3570,plain,
( spl96_352
<=> ! [X0,X1] :
( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_352])]) ).
fof(f1011,plain,
! [X0,X1] :
( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f565]) ).
fof(f3568,plain,
spl96_351,
inference(avatar_split_clause,[],[f1005,f3566]) ).
fof(f3566,plain,
( spl96_351
<=> ! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_351])]) ).
fof(f1005,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f260]) ).
fof(f260,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f259]) ).
fof(f259,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X0)
& sdtlseqdt0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessASymm) ).
fof(f3564,plain,
spl96_350,
inference(avatar_split_clause,[],[f985,f3562]) ).
fof(f3562,plain,
( spl96_350
<=> ! [X2,X0,X1] :
( sdtmndt0(X0,X1) = X2
| ~ sP45(X1,X0,X2)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_350])]) ).
fof(f985,plain,
! [X2,X0,X1] :
( sdtmndt0(X0,X1) = X2
| ~ sP45(X1,X0,X2)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f551]) ).
fof(f551,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtmndt0(X0,X1) = X2
| ~ sP45(X1,X0,X2)
| ~ aSet0(X2) )
& ( ( sP45(X1,X0,X2)
& aSet0(X2) )
| sdtmndt0(X0,X1) != X2 ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f550]) ).
fof(f550,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtmndt0(X0,X1) = X2
| ~ sP45(X1,X0,X2)
| ~ aSet0(X2) )
& ( ( sP45(X1,X0,X2)
& aSet0(X2) )
| sdtmndt0(X0,X1) != X2 ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f332]) ).
fof(f332,plain,
! [X0,X1] :
( ! [X2] :
( sdtmndt0(X0,X1) = X2
<=> ( sP45(X1,X0,X2)
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(definition_folding,[],[f244,f331]) ).
fof(f244,plain,
! [X0,X1] :
( ! [X2] :
( sdtmndt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) ) )
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f243]) ).
fof(f243,plain,
! [X0,X1] :
( ! [X2] :
( sdtmndt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) ) )
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aSet0(X0) )
=> ! [X2] :
( sdtmndt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiff) ).
fof(f3560,plain,
spl96_349,
inference(avatar_split_clause,[],[f979,f3558]) ).
fof(f979,plain,
! [X2,X0,X1] :
( sP45(X0,X1,X2)
| aElement0(sK92(X0,X1,X2))
| aElementOf0(sK92(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f549]) ).
fof(f3556,plain,
spl96_348,
inference(avatar_split_clause,[],[f978,f3554]) ).
fof(f3554,plain,
( spl96_348
<=> ! [X4,X0,X2,X1] :
( aElementOf0(X4,X2)
| X0 = X4
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4)
| ~ sP45(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_348])]) ).
fof(f978,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| X0 = X4
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4)
| ~ sP45(X0,X1,X2) ),
inference(cnf_transformation,[],[f549]) ).
fof(f3552,plain,
spl96_347,
inference(avatar_split_clause,[],[f974,f3550]) ).
fof(f3550,plain,
( spl96_347
<=> ! [X2,X0,X1] :
( sdtpldt0(X0,X1) = X2
| ~ sP44(X1,X0,X2)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_347])]) ).
fof(f974,plain,
! [X2,X0,X1] :
( sdtpldt0(X0,X1) = X2
| ~ sP44(X1,X0,X2)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f544]) ).
fof(f544,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtpldt0(X0,X1) = X2
| ~ sP44(X1,X0,X2)
| ~ aSet0(X2) )
& ( ( sP44(X1,X0,X2)
& aSet0(X2) )
| sdtpldt0(X0,X1) != X2 ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f543]) ).
fof(f543,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtpldt0(X0,X1) = X2
| ~ sP44(X1,X0,X2)
| ~ aSet0(X2) )
& ( ( sP44(X1,X0,X2)
& aSet0(X2) )
| sdtpldt0(X0,X1) != X2 ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f330]) ).
fof(f330,plain,
! [X0,X1] :
( ! [X2] :
( sdtpldt0(X0,X1) = X2
<=> ( sP44(X1,X0,X2)
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(definition_folding,[],[f242,f329]) ).
fof(f242,plain,
! [X0,X1] :
( ! [X2] :
( sdtpldt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) ) )
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f241]) ).
fof(f241,plain,
! [X0,X1] :
( ! [X2] :
( sdtpldt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) ) )
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aSet0(X0) )
=> ! [X2] :
( sdtpldt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefCons) ).
fof(f3548,plain,
spl96_346,
inference(avatar_split_clause,[],[f968,f3546]) ).
fof(f968,plain,
! [X2,X0,X1] :
( sP44(X0,X1,X2)
| aElement0(sK91(X0,X1,X2))
| aElementOf0(sK91(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f542]) ).
fof(f3544,plain,
spl96_345,
inference(avatar_split_clause,[],[f927,f3542]) ).
fof(f927,plain,
! [X0,X1] :
( sP40(X0,X1)
| aElementOf0(sK85(X0,X1),szNzAzT0)
| aElementOf0(sK85(X0,X1),X1)
| ~ aSet0(X1) ),
inference(cnf_transformation,[],[f514]) ).
fof(f3540,plain,
( spl96_344
| ~ spl96_30
| ~ spl96_93 ),
inference(avatar_split_clause,[],[f1546,f1525,f1221,f3537]) ).
fof(f1546,plain,
( aElementOf0(sK56,szNzAzT0)
| ~ spl96_30
| ~ spl96_93 ),
inference(resolution,[],[f1526,f1223]) ).
fof(f3535,plain,
spl96_343,
inference(avatar_split_clause,[],[f904,f3533]) ).
fof(f904,plain,
! [X0,X1] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))
| ~ aElementOf0(X1,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f198]) ).
fof(f198,plain,
! [X0] :
( ! [X1] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))
| ~ aElementOf0(X1,X0)
| ~ isFinite0(X0) )
| ~ aSet0(X0) ),
inference(flattening,[],[f197]) ).
fof(f197,plain,
! [X0] :
( ! [X1] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))
| ~ aElementOf0(X1,X0)
| ~ isFinite0(X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( ( aElementOf0(X1,X0)
& isFinite0(X0) )
=> sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardDiff) ).
fof(f3531,plain,
spl96_342,
inference(avatar_split_clause,[],[f883,f3529]) ).
fof(f3529,plain,
( spl96_342
<=> ! [X0,X6,X2,X1] :
( sdtlpdtrp0(X0,sK80(X0,X1,X6)) = X6
| ~ aElementOf0(X6,X2)
| ~ sP38(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_342])]) ).
fof(f883,plain,
! [X2,X0,X1,X6] :
( sdtlpdtrp0(X0,sK80(X0,X1,X6)) = X6
| ~ aElementOf0(X6,X2)
| ~ sP38(X0,X1,X2) ),
inference(cnf_transformation,[],[f497]) ).
fof(f3527,plain,
spl96_341,
inference(avatar_split_clause,[],[f870,f3525]) ).
fof(f3525,plain,
( spl96_341
<=> ! [X0] :
( isCountable0(sdtlbdtrb0(X0,szDzizrdt0(X0)))
| ~ isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ isCountable0(szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_341])]) ).
fof(f870,plain,
! [X0] :
( isCountable0(sdtlbdtrb0(X0,szDzizrdt0(X0)))
| ~ isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ isCountable0(szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f182]) ).
fof(f182,plain,
! [X0] :
( ( isCountable0(sdtlbdtrb0(X0,szDzizrdt0(X0)))
& aElement0(szDzizrdt0(X0)) )
| ~ isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ isCountable0(szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(flattening,[],[f181]) ).
fof(f181,plain,
! [X0] :
( ( isCountable0(sdtlbdtrb0(X0,szDzizrdt0(X0)))
& aElement0(szDzizrdt0(X0)) )
| ~ isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ isCountable0(szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f72]) ).
fof(f72,axiom,
! [X0] :
( aFunction0(X0)
=> ( ( isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
& isCountable0(szDzozmdt0(X0)) )
=> ( isCountable0(sdtlbdtrb0(X0,szDzizrdt0(X0)))
& aElement0(szDzizrdt0(X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDirichlet) ).
fof(f3523,plain,
spl96_340,
inference(avatar_split_clause,[],[f830,f3521]) ).
fof(f830,plain,
! [X0,X1] :
( aSubsetOf0(sK71(X0,X1),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP33(X0,X1) ),
inference(cnf_transformation,[],[f462]) ).
fof(f3519,plain,
spl96_339,
inference(avatar_split_clause,[],[f803,f3517]) ).
fof(f803,plain,
! [X0,X1] :
( aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
| ~ sP28(X0,X1) ),
inference(cnf_transformation,[],[f439]) ).
fof(f3515,plain,
spl96_338,
inference(avatar_split_clause,[],[f777,f3513]) ).
fof(f3513,plain,
( spl96_338
<=> ! [X0,X1] :
( sdtlpdtrp0(X0,sK63(X0,X1)) = X1
| ~ aElementOf0(X1,sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ sP19(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_338])]) ).
fof(f777,plain,
! [X0,X1] :
( sdtlpdtrp0(X0,sK63(X0,X1)) = X1
| ~ aElementOf0(X1,sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ sP19(X0) ),
inference(cnf_transformation,[],[f427]) ).
fof(f427,plain,
! [X0] :
( ! [X1] :
( ( aElementOf0(X1,sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ! [X2] :
( sdtlpdtrp0(X0,X2) != X1
| ~ aElementOf0(X2,szDzozmdt0(X0)) ) )
& ( ( sdtlpdtrp0(X0,sK63(X0,X1)) = X1
& aElementOf0(sK63(X0,X1),szDzozmdt0(X0)) )
| ~ aElementOf0(X1,sdtlcdtrc0(X0,szDzozmdt0(X0))) ) )
| ~ sP19(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK63])],[f425,f426]) ).
fof(f426,plain,
! [X0,X1] :
( ? [X3] :
( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) )
=> ( sdtlpdtrp0(X0,sK63(X0,X1)) = X1
& aElementOf0(sK63(X0,X1),szDzozmdt0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f425,plain,
! [X0] :
( ! [X1] :
( ( aElementOf0(X1,sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ! [X2] :
( sdtlpdtrp0(X0,X2) != X1
| ~ aElementOf0(X2,szDzozmdt0(X0)) ) )
& ( ? [X3] :
( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) )
| ~ aElementOf0(X1,sdtlcdtrc0(X0,szDzozmdt0(X0))) ) )
| ~ sP19(X0) ),
inference(rectify,[],[f424]) ).
fof(f424,plain,
! [X3] :
( ! [X4] :
( ( aElementOf0(X4,sdtlcdtrc0(X3,szDzozmdt0(X3)))
| ! [X5] :
( sdtlpdtrp0(X3,X5) != X4
| ~ aElementOf0(X5,szDzozmdt0(X3)) ) )
& ( ? [X5] :
( sdtlpdtrp0(X3,X5) = X4
& aElementOf0(X5,szDzozmdt0(X3)) )
| ~ aElementOf0(X4,sdtlcdtrc0(X3,szDzozmdt0(X3))) ) )
| ~ sP19(X3) ),
inference(nnf_transformation,[],[f294]) ).
fof(f294,plain,
! [X3] :
( ! [X4] :
( aElementOf0(X4,sdtlcdtrc0(X3,szDzozmdt0(X3)))
<=> ? [X5] :
( sdtlpdtrp0(X3,X5) = X4
& aElementOf0(X5,szDzozmdt0(X3)) ) )
| ~ sP19(X3) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f3511,plain,
spl96_337,
inference(avatar_split_clause,[],[f773,f3509]) ).
fof(f3509,plain,
( spl96_337
<=> ! [X2,X4,X0,X3,X1] :
( sdtlpdtrp0(X1,X4) = X0
| ~ aElementOf0(X4,slbdtsldtrb0(X3,X2))
| ~ sP21(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_337])]) ).
fof(f773,plain,
! [X2,X3,X0,X1,X4] :
( sdtlpdtrp0(X1,X4) = X0
| ~ aElementOf0(X4,slbdtsldtrb0(X3,X2))
| ~ sP21(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f419]) ).
fof(f3507,plain,
spl96_336,
inference(avatar_split_clause,[],[f766,f3505]) ).
fof(f3505,plain,
( spl96_336
<=> ! [X3,X0,X5,X2,X1] :
( aElementOf0(X5,X3)
| ~ aElementOf0(X5,sK60(X0,X1,X2,X3))
| ~ sP22(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_336])]) ).
fof(f766,plain,
! [X2,X3,X0,X1,X5] :
( aElementOf0(X5,X3)
| ~ aElementOf0(X5,sK60(X0,X1,X2,X3))
| ~ sP22(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f415]) ).
fof(f415,plain,
! [X0,X1,X2,X3] :
( ( sP21(X2,X1,X0,sK60(X0,X1,X2,X3))
& isCountable0(sK60(X0,X1,X2,X3))
& aSubsetOf0(sK60(X0,X1,X2,X3),X3)
& ! [X5] :
( aElementOf0(X5,X3)
| ~ aElementOf0(X5,sK60(X0,X1,X2,X3)) )
& aSet0(sK60(X0,X1,X2,X3)) )
| ~ sP22(X0,X1,X2,X3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK60])],[f413,f414]) ).
fof(f414,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( sP21(X2,X1,X0,X4)
& isCountable0(X4)
& aSubsetOf0(X4,X3)
& ! [X5] :
( aElementOf0(X5,X3)
| ~ aElementOf0(X5,X4) )
& aSet0(X4) )
=> ( sP21(X2,X1,X0,sK60(X0,X1,X2,X3))
& isCountable0(sK60(X0,X1,X2,X3))
& aSubsetOf0(sK60(X0,X1,X2,X3),X3)
& ! [X5] :
( aElementOf0(X5,X3)
| ~ aElementOf0(X5,sK60(X0,X1,X2,X3)) )
& aSet0(sK60(X0,X1,X2,X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f413,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( sP21(X2,X1,X0,X4)
& isCountable0(X4)
& aSubsetOf0(X4,X3)
& ! [X5] :
( aElementOf0(X5,X3)
| ~ aElementOf0(X5,X4) )
& aSet0(X4) )
| ~ sP22(X0,X1,X2,X3) ),
inference(rectify,[],[f412]) ).
fof(f412,plain,
! [X0,X3,X10,X1] :
( ? [X11] :
( sP21(X10,X3,X0,X11)
& isCountable0(X11)
& aSubsetOf0(X11,X1)
& ! [X14] :
( aElementOf0(X14,X1)
| ~ aElementOf0(X14,X11) )
& aSet0(X11) )
| ~ sP22(X0,X3,X10,X1) ),
inference(nnf_transformation,[],[f297]) ).
fof(f297,plain,
! [X0,X3,X10,X1] :
( ? [X11] :
( sP21(X10,X3,X0,X11)
& isCountable0(X11)
& aSubsetOf0(X11,X1)
& ! [X14] :
( aElementOf0(X14,X1)
| ~ aElementOf0(X14,X11) )
& aSet0(X11) )
| ~ sP22(X0,X3,X10,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f3503,plain,
spl96_335,
inference(avatar_split_clause,[],[f744,f3501]) ).
fof(f744,plain,
! [X0,X1] :
( ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
| ~ sP15(X0,X1) ),
inference(cnf_transformation,[],[f395]) ).
fof(f395,plain,
! [X0,X1] :
( ( ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& sP13(X1,X0)
& sP12(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ sP15(X0,X1) ),
inference(nnf_transformation,[],[f289]) ).
fof(f289,plain,
! [X0,X1] :
( ( ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& sP13(X1,X0)
& sP12(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ sP15(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f3499,plain,
spl96_334,
inference(avatar_split_clause,[],[f647,f3497]) ).
fof(f647,plain,
! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP10(X0) ),
inference(cnf_transformation,[],[f368]) ).
fof(f3495,plain,
( spl96_333
| ~ spl96_22
| ~ spl96_93 ),
inference(avatar_split_clause,[],[f1545,f1525,f1181,f3492]) ).
fof(f1545,plain,
( aElementOf0(xp,szNzAzT0)
| ~ spl96_22
| ~ spl96_93 ),
inference(resolution,[],[f1526,f1183]) ).
fof(f3490,plain,
spl96_332,
inference(avatar_split_clause,[],[f616,f3488]) ).
fof(f616,plain,
! [X0,X1] :
( ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f352]) ).
fof(f352,plain,
! [X0,X1] :
( ( ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& sP2(X1,X0)
& sP1(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ sP4(X0,X1) ),
inference(nnf_transformation,[],[f275]) ).
fof(f275,plain,
! [X0,X1] :
( ( ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& sP2(X1,X0)
& sP1(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ sP4(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f3486,plain,
spl96_331,
inference(avatar_split_clause,[],[f599,f3484]) ).
fof(f3484,plain,
( spl96_331
<=> ! [X0,X1] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| sP4(X0,X1)
| ~ aSet0(X1)
| ~ sP7(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_331])]) ).
fof(f599,plain,
! [X0,X1] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| sP4(X0,X1)
| ~ aSet0(X1)
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f344]) ).
fof(f3482,plain,
spl96_330,
inference(avatar_split_clause,[],[f1060,f3480]) ).
fof(f3480,plain,
( spl96_330
<=> ! [X3] :
( ~ aElementOf0(X3,szNzAzT0)
| aElementOf0(X3,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| szDzizrdt0(xd) != sdtlpdtrp0(xd,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_330])]) ).
fof(f1060,plain,
! [X3] :
( ~ aElementOf0(X3,szNzAzT0)
| aElementOf0(X3,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| szDzizrdt0(xd) != sdtlpdtrp0(xd,X3) ),
inference(forward_demodulation,[],[f674,f636]) ).
fof(f636,plain,
szNzAzT0 = szDzozmdt0(xd),
inference(cnf_transformation,[],[f366]) ).
fof(f674,plain,
! [X3] :
( aElementOf0(X3,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| szDzizrdt0(xd) != sdtlpdtrp0(xd,X3)
| ~ aElementOf0(X3,szDzozmdt0(xd)) ),
inference(cnf_transformation,[],[f380]) ).
fof(f380,plain,
( xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& ! [X0] :
( ( aElementOf0(X0,xO)
| ! [X1] :
( sdtlpdtrp0(xe,X1) != X0
| ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
& ( ( sdtlpdtrp0(xe,sK54(X0)) = X0
& aElementOf0(sK54(X0),sdtlbdtrb0(xd,szDzizrdt0(xd))) )
| ~ aElementOf0(X0,xO) ) )
& ! [X3] :
( ( aElementOf0(X3,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| szDzizrdt0(xd) != sdtlpdtrp0(xd,X3)
| ~ aElementOf0(X3,szDzozmdt0(xd)) )
& ( ( szDzizrdt0(xd) = sdtlpdtrp0(xd,X3)
& aElementOf0(X3,szDzozmdt0(xd)) )
| ~ aElementOf0(X3,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aSet0(xO) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK54])],[f378,f379]) ).
fof(f379,plain,
! [X0] :
( ? [X2] :
( sdtlpdtrp0(xe,X2) = X0
& aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
=> ( sdtlpdtrp0(xe,sK54(X0)) = X0
& aElementOf0(sK54(X0),sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ),
introduced(choice_axiom,[]) ).
fof(f378,plain,
( xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& ! [X0] :
( ( aElementOf0(X0,xO)
| ! [X1] :
( sdtlpdtrp0(xe,X1) != X0
| ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
& ( ? [X2] :
( sdtlpdtrp0(xe,X2) = X0
& aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
| ~ aElementOf0(X0,xO) ) )
& ! [X3] :
( ( aElementOf0(X3,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| szDzizrdt0(xd) != sdtlpdtrp0(xd,X3)
| ~ aElementOf0(X3,szDzozmdt0(xd)) )
& ( ( szDzizrdt0(xd) = sdtlpdtrp0(xd,X3)
& aElementOf0(X3,szDzozmdt0(xd)) )
| ~ aElementOf0(X3,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aSet0(xO) ),
inference(rectify,[],[f377]) ).
fof(f377,plain,
( xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& ! [X0] :
( ( aElementOf0(X0,xO)
| ! [X1] :
( sdtlpdtrp0(xe,X1) != X0
| ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
& ( ? [X1] :
( sdtlpdtrp0(xe,X1) = X0
& aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
| ~ aElementOf0(X0,xO) ) )
& ! [X2] :
( ( aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| szDzizrdt0(xd) != sdtlpdtrp0(xd,X2)
| ~ aElementOf0(X2,szDzozmdt0(xd)) )
& ( ( szDzizrdt0(xd) = sdtlpdtrp0(xd,X2)
& aElementOf0(X2,szDzozmdt0(xd)) )
| ~ aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aSet0(xO) ),
inference(flattening,[],[f376]) ).
fof(f376,plain,
( xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& ! [X0] :
( ( aElementOf0(X0,xO)
| ! [X1] :
( sdtlpdtrp0(xe,X1) != X0
| ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
& ( ? [X1] :
( sdtlpdtrp0(xe,X1) = X0
& aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
| ~ aElementOf0(X0,xO) ) )
& ! [X2] :
( ( aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| szDzizrdt0(xd) != sdtlpdtrp0(xd,X2)
| ~ aElementOf0(X2,szDzozmdt0(xd)) )
& ( ( szDzizrdt0(xd) = sdtlpdtrp0(xd,X2)
& aElementOf0(X2,szDzozmdt0(xd)) )
| ~ aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aSet0(xO) ),
inference(nnf_transformation,[],[f115]) ).
fof(f115,plain,
( xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& ! [X0] :
( aElementOf0(X0,xO)
<=> ? [X1] :
( sdtlpdtrp0(xe,X1) = X0
& aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
& ! [X2] :
( aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
<=> ( szDzizrdt0(xd) = sdtlpdtrp0(xd,X2)
& aElementOf0(X2,szDzozmdt0(xd)) ) )
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aSet0(xO) ),
inference(rectify,[],[f95]) ).
fof(f95,axiom,
( xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& ! [X0] :
( aElementOf0(X0,xO)
<=> ? [X1] :
( sdtlpdtrp0(xe,X1) = X0
& aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
& ! [X0] :
( aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
<=> ( sdtlpdtrp0(xd,X0) = szDzizrdt0(xd)
& aElementOf0(X0,szDzozmdt0(xd)) ) )
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aSet0(xO) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4891) ).
fof(f3433,plain,
( spl96_329
| ~ spl96_30
| ~ spl96_91 ),
inference(avatar_split_clause,[],[f1544,f1516,f1221,f3430]) ).
fof(f3430,plain,
( spl96_329
<=> aElementOf0(sK56,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_329])]) ).
fof(f1544,plain,
( aElementOf0(sK56,xS)
| ~ spl96_30
| ~ spl96_91 ),
inference(resolution,[],[f1517,f1223]) ).
fof(f3295,plain,
( spl96_328
| ~ spl96_22
| ~ spl96_91 ),
inference(avatar_split_clause,[],[f1543,f1516,f1181,f3292]) ).
fof(f3292,plain,
( spl96_328
<=> aElementOf0(xp,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_328])]) ).
fof(f1543,plain,
( aElementOf0(xp,xS)
| ~ spl96_22
| ~ spl96_91 ),
inference(resolution,[],[f1517,f1183]) ).
fof(f3219,plain,
( spl96_327
| ~ spl96_30
| ~ spl96_88 ),
inference(avatar_split_clause,[],[f1537,f1504,f1221,f3216]) ).
fof(f3216,plain,
( spl96_327
<=> sdtlseqdt0(xp,sK56) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_327])]) ).
fof(f1537,plain,
( sdtlseqdt0(xp,sK56)
| ~ spl96_30
| ~ spl96_88 ),
inference(resolution,[],[f1505,f1223]) ).
fof(f3208,plain,
spl96_326,
inference(avatar_split_clause,[],[f1029,f3206]) ).
fof(f3206,plain,
( spl96_326
<=> ! [X2,X0] :
( aElementOf0(sdtlpdtrp0(X0,X2),sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ aElementOf0(X2,szDzozmdt0(X0))
| ~ sP19(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_326])]) ).
fof(f1029,plain,
! [X2,X0] :
( aElementOf0(sdtlpdtrp0(X0,X2),sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ aElementOf0(X2,szDzozmdt0(X0))
| ~ sP19(X0) ),
inference(equality_resolution,[],[f778]) ).
fof(f778,plain,
! [X2,X0,X1] :
( aElementOf0(X1,sdtlcdtrc0(X0,szDzozmdt0(X0)))
| sdtlpdtrp0(X0,X2) != X1
| ~ aElementOf0(X2,szDzozmdt0(X0))
| ~ sP19(X0) ),
inference(cnf_transformation,[],[f427]) ).
fof(f3204,plain,
spl96_325,
inference(avatar_split_clause,[],[f1026,f3202]) ).
fof(f3202,plain,
( spl96_325
<=> ! [X4,X0,X3,X1] :
( sdtlpdtrp0(X1,X4) = X0
| ~ aSubsetOf0(X4,X3)
| ~ sP21(X0,X1,sbrdtbr0(X4),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_325])]) ).
fof(f1026,plain,
! [X3,X0,X1,X4] :
( sdtlpdtrp0(X1,X4) = X0
| ~ aSubsetOf0(X4,X3)
| ~ sP21(X0,X1,sbrdtbr0(X4),X3) ),
inference(equality_resolution,[],[f772]) ).
fof(f772,plain,
! [X2,X3,X0,X1,X4] :
( sdtlpdtrp0(X1,X4) = X0
| sbrdtbr0(X4) != X2
| ~ aSubsetOf0(X4,X3)
| ~ sP21(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f419]) ).
fof(f3200,plain,
spl96_324,
inference(avatar_split_clause,[],[f1009,f3198]) ).
fof(f3198,plain,
( spl96_324
<=> ! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_324])]) ).
fof(f1009,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f563]) ).
fof(f563,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ~ aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1)) )
& ( aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1))
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(nnf_transformation,[],[f264]) ).
fof(f264,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1)) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f263]) ).
fof(f263,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1)) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( sdtlseqdt0(X0,X1)
<=> aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSegLess) ).
fof(f3196,plain,
spl96_323,
inference(avatar_split_clause,[],[f1008,f3194]) ).
fof(f3194,plain,
( spl96_323
<=> ! [X0,X1] :
( aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_323])]) ).
fof(f1008,plain,
! [X0,X1] :
( aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f563]) ).
fof(f3192,plain,
spl96_322,
inference(avatar_split_clause,[],[f1007,f3190]) ).
fof(f3190,plain,
( spl96_322
<=> ! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_322])]) ).
fof(f1007,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f562]) ).
fof(f562,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) )
& ( sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(nnf_transformation,[],[f262]) ).
fof(f262,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f261]) ).
fof(f261,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( sdtlseqdt0(X0,X1)
<=> sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccLess) ).
fof(f3188,plain,
spl96_321,
inference(avatar_split_clause,[],[f1006,f3186]) ).
fof(f3186,plain,
( spl96_321
<=> ! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_321])]) ).
fof(f1006,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f562]) ).
fof(f3184,plain,
spl96_320,
inference(avatar_split_clause,[],[f1004,f3182]) ).
fof(f3182,plain,
( spl96_320
<=> ! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_320])]) ).
fof(f1004,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f258]) ).
fof(f258,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f257]) ).
fof(f257,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( szszuzczcdt0(X0) = szszuzczcdt0(X1)
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccEquSucc) ).
fof(f3180,plain,
spl96_319,
inference(avatar_split_clause,[],[f952,f3178]) ).
fof(f952,plain,
! [X0,X1] :
( sdtmndt0(sdtpldt0(X1,X0),X0) = X1
| aElementOf0(X0,X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f236]) ).
fof(f236,plain,
! [X0,X1] :
( sdtmndt0(sdtpldt0(X1,X0),X0) = X1
| aElementOf0(X0,X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f235]) ).
fof(f235,plain,
! [X0,X1] :
( sdtmndt0(sdtpldt0(X1,X0),X0) = X1
| aElementOf0(X0,X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0,X1] :
( ( aSet0(X1)
& aElement0(X0) )
=> ( ~ aElementOf0(X0,X1)
=> sdtmndt0(sdtpldt0(X1,X0),X0) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDiffCons) ).
fof(f3176,plain,
spl96_318,
inference(avatar_split_clause,[],[f938,f3174]) ).
fof(f3174,plain,
( spl96_318
<=> ! [X0,X1] :
( isCountable0(slbdtsldtrb0(X0,X1))
| sz00 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_318])]) ).
fof(f938,plain,
! [X0,X1] :
( isCountable0(slbdtsldtrb0(X0,X1))
| sz00 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f227]) ).
fof(f227,plain,
! [X0] :
( ! [X1] :
( isCountable0(slbdtsldtrb0(X0,X1))
| sz00 = X1
| ~ aElementOf0(X1,szNzAzT0) )
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f226]) ).
fof(f226,plain,
! [X0] :
( ! [X1] :
( isCountable0(slbdtsldtrb0(X0,X1))
| sz00 = X1
| ~ aElementOf0(X1,szNzAzT0) )
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f60]) ).
fof(f60,axiom,
! [X0] :
( ( isCountable0(X0)
& aSet0(X0) )
=> ! [X1] :
( ( sz00 != X1
& aElementOf0(X1,szNzAzT0) )
=> isCountable0(slbdtsldtrb0(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSelCSet) ).
fof(f3172,plain,
( spl96_317
| ~ spl96_22
| ~ spl96_88 ),
inference(avatar_split_clause,[],[f1536,f1504,f1181,f3169]) ).
fof(f3169,plain,
( spl96_317
<=> sdtlseqdt0(xp,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_317])]) ).
fof(f1536,plain,
( sdtlseqdt0(xp,xp)
| ~ spl96_22
| ~ spl96_88 ),
inference(resolution,[],[f1505,f1183]) ).
fof(f3167,plain,
spl96_316,
inference(avatar_split_clause,[],[f890,f3165]) ).
fof(f890,plain,
! [X0,X1] :
( aElementOf0(sdtlpdtrp0(X0,X1),sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ aElementOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f186]) ).
fof(f186,plain,
! [X0] :
( ! [X1] :
( aElementOf0(sdtlpdtrp0(X0,X1),sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ aElementOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,axiom,
! [X0] :
( aFunction0(X0)
=> ! [X1] :
( aElementOf0(X1,szDzozmdt0(X0))
=> aElementOf0(sdtlpdtrp0(X0,X1),sdtlcdtrc0(X0,szDzozmdt0(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mImgRng) ).
fof(f3163,plain,
spl96_315,
inference(avatar_split_clause,[],[f875,f3161]) ).
fof(f3161,plain,
( spl96_315
<=> ! [X2,X4,X0,X1] :
( sdtlpdtrp0(X0,X4) = sdtlpdtrp0(X1,X4)
| ~ aElementOf0(X4,X2)
| ~ sP36(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_315])]) ).
fof(f875,plain,
! [X2,X0,X1,X4] :
( sdtlpdtrp0(X0,X4) = sdtlpdtrp0(X1,X4)
| ~ aElementOf0(X4,X2)
| ~ sP36(X0,X1,X2) ),
inference(cnf_transformation,[],[f488]) ).
fof(f3159,plain,
spl96_314,
inference(avatar_split_clause,[],[f837,f3157]) ).
fof(f3157,plain,
( spl96_314
<=> ! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP31(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_314])]) ).
fof(f837,plain,
! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP31(X0) ),
inference(cnf_transformation,[],[f469]) ).
fof(f3155,plain,
spl96_313,
inference(avatar_split_clause,[],[f825,f3153]) ).
fof(f3153,plain,
( spl96_313
<=> ! [X4,X0,X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4)
| ~ aElementOf0(X4,sdtlpdtrp0(xN,X0))
| ~ sP33(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_313])]) ).
fof(f825,plain,
! [X0,X1,X4] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4)
| ~ aElementOf0(X4,sdtlpdtrp0(xN,X0))
| ~ sP33(X0,X1) ),
inference(cnf_transformation,[],[f462]) ).
fof(f3151,plain,
spl96_312,
inference(avatar_split_clause,[],[f810,f3149]) ).
fof(f3149,plain,
( spl96_312
<=> ! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP25(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_312])]) ).
fof(f810,plain,
! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP25(X0) ),
inference(cnf_transformation,[],[f449]) ).
fof(f3147,plain,
spl96_311,
inference(avatar_split_clause,[],[f804,f3145]) ).
fof(f3145,plain,
( spl96_311
<=> ! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP27(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_311])]) ).
fof(f804,plain,
! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP27(X0) ),
inference(cnf_transformation,[],[f442]) ).
fof(f3143,plain,
spl96_310,
inference(avatar_split_clause,[],[f798,f3141]) ).
fof(f3141,plain,
( spl96_310
<=> ! [X0,X1,X3] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X3)
| ~ aElementOf0(X3,sdtlpdtrp0(xN,X0))
| ~ sP28(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_310])]) ).
fof(f798,plain,
! [X3,X0,X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X3)
| ~ aElementOf0(X3,sdtlpdtrp0(xN,X0))
| ~ sP28(X0,X1) ),
inference(cnf_transformation,[],[f439]) ).
fof(f3139,plain,
spl96_309,
inference(avatar_split_clause,[],[f792,f3137]) ).
fof(f3137,plain,
( spl96_309
<=> ! [X2,X0,X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| ~ sP29(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_309])]) ).
fof(f792,plain,
! [X2,X0,X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| ~ sP29(X0,X1) ),
inference(cnf_transformation,[],[f437]) ).
fof(f437,plain,
! [X0,X1] :
( ( ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& sP26(X0,X1)
& sP25(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ sP29(X0,X1) ),
inference(nnf_transformation,[],[f305]) ).
fof(f3135,plain,
spl96_308,
inference(avatar_split_clause,[],[f776,f3133]) ).
fof(f3133,plain,
( spl96_308
<=> ! [X0,X1] :
( aElementOf0(sK63(X0,X1),szDzozmdt0(X0))
| ~ aElementOf0(X1,sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ sP19(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_308])]) ).
fof(f776,plain,
! [X0,X1] :
( aElementOf0(sK63(X0,X1),szDzozmdt0(X0))
| ~ aElementOf0(X1,sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ sP19(X0) ),
inference(cnf_transformation,[],[f427]) ).
fof(f3131,plain,
spl96_307,
inference(avatar_split_clause,[],[f769,f3129]) ).
fof(f3129,plain,
( spl96_307
<=> ! [X0,X3,X2,X1] :
( sP21(X2,X1,X0,sK60(X0,X1,X2,X3))
| ~ sP22(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_307])]) ).
fof(f769,plain,
! [X2,X3,X0,X1] :
( sP21(X2,X1,X0,sK60(X0,X1,X2,X3))
| ~ sP22(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f415]) ).
fof(f3127,plain,
( spl96_306
| ~ spl96_30
| ~ spl96_87 ),
inference(avatar_split_clause,[],[f1535,f1500,f1221,f3124]) ).
fof(f1535,plain,
( aElementOf0(sK56,xO)
| ~ spl96_30
| ~ spl96_87 ),
inference(resolution,[],[f1501,f1223]) ).
fof(f3122,plain,
spl96_305,
inference(avatar_split_clause,[],[f752,f3120]) ).
fof(f3120,plain,
( spl96_305
<=> ! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP12(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_305])]) ).
fof(f752,plain,
! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP12(X0) ),
inference(cnf_transformation,[],[f405]) ).
fof(f3118,plain,
spl96_304,
inference(avatar_split_clause,[],[f740,f3116]) ).
fof(f3116,plain,
( spl96_304
<=> ! [X2,X0,X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| ~ sP15(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_304])]) ).
fof(f740,plain,
! [X2,X0,X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| ~ sP15(X0,X1) ),
inference(cnf_transformation,[],[f395]) ).
fof(f3114,plain,
spl96_303,
inference(avatar_split_clause,[],[f735,f3112]) ).
fof(f3112,plain,
( spl96_303
<=> ! [X2,X0,X1] :
( aElementOf0(X2,xS)
| ~ aElementOf0(X2,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP16(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_303])]) ).
fof(f735,plain,
! [X2,X0,X1] :
( aElementOf0(X2,xS)
| ~ aElementOf0(X2,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP16(X0,X1) ),
inference(cnf_transformation,[],[f394]) ).
fof(f394,plain,
! [X0,X1] :
( ( aElementOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),slbdtsldtrb0(xS,xK))
& xK = sbrdtbr0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& aSubsetOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),xS)
& ! [X2] :
( aElementOf0(X2,xS)
| ~ aElementOf0(X2,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& sP14(X0,X1)
& aSet0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X3] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X3)
| ~ aElementOf0(X3,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ sP16(X0,X1) ),
inference(rectify,[],[f393]) ).
fof(f393,plain,
! [X0,X1] :
( ( aElementOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),slbdtsldtrb0(xS,xK))
& xK = sbrdtbr0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& aSubsetOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),xS)
& ! [X5] :
( aElementOf0(X5,xS)
| ~ aElementOf0(X5,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& sP14(X0,X1)
& aSet0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X7] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X7)
| ~ aElementOf0(X7,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ sP16(X0,X1) ),
inference(nnf_transformation,[],[f290]) ).
fof(f290,plain,
! [X0,X1] :
( ( aElementOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),slbdtsldtrb0(xS,xK))
& xK = sbrdtbr0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& aSubsetOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),xS)
& ! [X5] :
( aElementOf0(X5,xS)
| ~ aElementOf0(X5,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& sP14(X0,X1)
& aSet0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X7] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X7)
| ~ aElementOf0(X7,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ sP16(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f3110,plain,
spl96_302,
inference(avatar_split_clause,[],[f732,f3108]) ).
fof(f3108,plain,
( spl96_302
<=> ! [X0,X1,X3] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X3)
| ~ aElementOf0(X3,sdtlpdtrp0(xN,X0))
| ~ sP16(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_302])]) ).
fof(f732,plain,
! [X3,X0,X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X3)
| ~ aElementOf0(X3,sdtlpdtrp0(xN,X0))
| ~ sP16(X0,X1) ),
inference(cnf_transformation,[],[f394]) ).
fof(f3106,plain,
spl96_301,
inference(avatar_split_clause,[],[f649,f3104]) ).
fof(f3104,plain,
( spl96_301
<=> ! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP9(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_301])]) ).
fof(f649,plain,
! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP9(X0) ),
inference(cnf_transformation,[],[f371]) ).
fof(f3102,plain,
spl96_300,
inference(avatar_split_clause,[],[f624,f3100]) ).
fof(f3100,plain,
( spl96_300
<=> ! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_300])]) ).
fof(f624,plain,
! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f362]) ).
fof(f3098,plain,
spl96_299,
inference(avatar_split_clause,[],[f612,f3096]) ).
fof(f3096,plain,
( spl96_299
<=> ! [X2,X0,X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_299])]) ).
fof(f612,plain,
! [X2,X0,X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f352]) ).
fof(f3094,plain,
spl96_298,
inference(avatar_split_clause,[],[f607,f3092]) ).
fof(f607,plain,
! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f351]) ).
fof(f3077,plain,
( spl96_297
| ~ spl96_22
| ~ spl96_87 ),
inference(avatar_split_clause,[],[f1534,f1500,f1181,f3074]) ).
fof(f3074,plain,
( spl96_297
<=> aElementOf0(xp,xO) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_297])]) ).
fof(f1534,plain,
( aElementOf0(xp,xO)
| ~ spl96_22
| ~ spl96_87 ),
inference(resolution,[],[f1501,f1183]) ).
fof(f3063,plain,
spl96_296,
inference(avatar_split_clause,[],[f789,f3061]) ).
fof(f3061,plain,
( spl96_296
<=> ! [X0,X1] :
( sP24(X1,X0)
| ~ isCountable0(X1)
| ~ aElementOf0(sK66(X1),szNzAzT0)
| ~ aSet0(X1)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_296])]) ).
fof(f789,plain,
! [X0,X1] :
( sP24(X1,X0)
| ~ isCountable0(X1)
| ~ aElementOf0(sK66(X1),szNzAzT0)
| ~ aSet0(X1)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f436]) ).
fof(f436,plain,
! [X0] :
( ! [X1] :
( sP24(X1,X0)
| ~ isCountable0(X1)
| ( ~ aSubsetOf0(X1,szNzAzT0)
& ( ( ~ aElementOf0(sK66(X1),szNzAzT0)
& aElementOf0(sK66(X1),X1) )
| ~ aSet0(X1) ) ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK66])],[f300,f435]) ).
fof(f435,plain,
! [X1] :
( ? [X2] :
( ~ aElementOf0(X2,szNzAzT0)
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK66(X1),szNzAzT0)
& aElementOf0(sK66(X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f300,plain,
! [X0] :
( ! [X1] :
( sP24(X1,X0)
| ~ isCountable0(X1)
| ( ~ aSubsetOf0(X1,szNzAzT0)
& ( ? [X2] :
( ~ aElementOf0(X2,szNzAzT0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) ) ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(definition_folding,[],[f160,f299,f298,f297,f296,f295,f294,f293,f292]) ).
fof(f292,plain,
! [X3,X7,X0,X1] :
( ( ~ aElementOf0(X7,szDzozmdt0(X3))
& sbrdtbr0(X7) = X0
& aSubsetOf0(X7,X1)
& ! [X8] :
( aElementOf0(X8,X1)
| ~ aElementOf0(X8,X7) )
& aSet0(X7) )
| ~ sP17(X3,X7,X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f295,plain,
! [X3] :
( ? [X6] :
( ~ aElementOf0(X6,xT)
& aElementOf0(X6,sdtlcdtrc0(X3,szDzozmdt0(X3))) )
| ~ sP20(X3) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f298,plain,
! [X3] :
( ( ~ aSubsetOf0(sdtlcdtrc0(X3,szDzozmdt0(X3)),xT)
& sP20(X3)
& sP19(X3)
& aSet0(sdtlcdtrc0(X3,szDzozmdt0(X3))) )
| ~ sP23(X3) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f160,plain,
! [X0] :
( ! [X1] :
( ! [X3] :
( ? [X10] :
( ? [X11] :
( ! [X12] :
( sdtlpdtrp0(X3,X12) = X10
| ( ~ aElementOf0(X12,slbdtsldtrb0(X11,X0))
& ( sbrdtbr0(X12) != X0
| ( ~ aSubsetOf0(X12,X11)
& ( ? [X13] :
( ~ aElementOf0(X13,X11)
& aElementOf0(X13,X12) )
| ~ aSet0(X12) ) ) ) ) )
& isCountable0(X11)
& aSubsetOf0(X11,X1)
& ! [X14] :
( aElementOf0(X14,X1)
| ~ aElementOf0(X14,X11) )
& aSet0(X11) )
& aElementOf0(X10,xT) )
| ~ iLess0(X0,xK)
| ( ~ aSubsetOf0(sdtlcdtrc0(X3,szDzozmdt0(X3)),xT)
& ? [X6] :
( ~ aElementOf0(X6,xT)
& aElementOf0(X6,sdtlcdtrc0(X3,szDzozmdt0(X3))) )
& ! [X4] :
( aElementOf0(X4,sdtlcdtrc0(X3,szDzozmdt0(X3)))
<=> ? [X5] :
( sdtlpdtrp0(X3,X5) = X4
& aElementOf0(X5,szDzozmdt0(X3)) ) )
& aSet0(sdtlcdtrc0(X3,szDzozmdt0(X3))) )
| ( slbdtsldtrb0(X1,X0) != szDzozmdt0(X3)
& ? [X7] :
( ( ~ aElementOf0(X7,szDzozmdt0(X3))
& sbrdtbr0(X7) = X0
& aSubsetOf0(X7,X1)
& ! [X8] :
( aElementOf0(X8,X1)
| ~ aElementOf0(X8,X7) )
& aSet0(X7) )
| ( ( sbrdtbr0(X7) != X0
| ( ~ aSubsetOf0(X7,X1)
& ( ? [X9] :
( ~ aElementOf0(X9,X1)
& aElementOf0(X9,X7) )
| ~ aSet0(X7) ) ) )
& aElementOf0(X7,szDzozmdt0(X3)) ) ) )
| ~ aFunction0(X3) )
| ~ isCountable0(X1)
| ( ~ aSubsetOf0(X1,szNzAzT0)
& ( ? [X2] :
( ~ aElementOf0(X2,szNzAzT0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) ) ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f159]) ).
fof(f159,plain,
! [X0] :
( ! [X1] :
( ! [X3] :
( ? [X10] :
( ? [X11] :
( ! [X12] :
( sdtlpdtrp0(X3,X12) = X10
| ( ~ aElementOf0(X12,slbdtsldtrb0(X11,X0))
& ( sbrdtbr0(X12) != X0
| ( ~ aSubsetOf0(X12,X11)
& ( ? [X13] :
( ~ aElementOf0(X13,X11)
& aElementOf0(X13,X12) )
| ~ aSet0(X12) ) ) ) ) )
& isCountable0(X11)
& aSubsetOf0(X11,X1)
& ! [X14] :
( aElementOf0(X14,X1)
| ~ aElementOf0(X14,X11) )
& aSet0(X11) )
& aElementOf0(X10,xT) )
| ~ iLess0(X0,xK)
| ( ~ aSubsetOf0(sdtlcdtrc0(X3,szDzozmdt0(X3)),xT)
& ? [X6] :
( ~ aElementOf0(X6,xT)
& aElementOf0(X6,sdtlcdtrc0(X3,szDzozmdt0(X3))) )
& ! [X4] :
( aElementOf0(X4,sdtlcdtrc0(X3,szDzozmdt0(X3)))
<=> ? [X5] :
( sdtlpdtrp0(X3,X5) = X4
& aElementOf0(X5,szDzozmdt0(X3)) ) )
& aSet0(sdtlcdtrc0(X3,szDzozmdt0(X3))) )
| ( slbdtsldtrb0(X1,X0) != szDzozmdt0(X3)
& ? [X7] :
( ( ~ aElementOf0(X7,szDzozmdt0(X3))
& sbrdtbr0(X7) = X0
& aSubsetOf0(X7,X1)
& ! [X8] :
( aElementOf0(X8,X1)
| ~ aElementOf0(X8,X7) )
& aSet0(X7) )
| ( ( sbrdtbr0(X7) != X0
| ( ~ aSubsetOf0(X7,X1)
& ( ? [X9] :
( ~ aElementOf0(X9,X1)
& aElementOf0(X9,X7) )
| ~ aSet0(X7) ) ) )
& aElementOf0(X7,szDzozmdt0(X3)) ) ) )
| ~ aFunction0(X3) )
| ~ isCountable0(X1)
| ( ~ aSubsetOf0(X1,szNzAzT0)
& ( ? [X2] :
( ~ aElementOf0(X2,szNzAzT0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) ) ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( ( isCountable0(X1)
& ( aSubsetOf0(X1,szNzAzT0)
| ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,szNzAzT0) )
& aSet0(X1) ) ) )
=> ! [X3] :
( ( ( ( ! [X4] :
( aElementOf0(X4,sdtlcdtrc0(X3,szDzozmdt0(X3)))
<=> ? [X5] :
( sdtlpdtrp0(X3,X5) = X4
& aElementOf0(X5,szDzozmdt0(X3)) ) )
& aSet0(sdtlcdtrc0(X3,szDzozmdt0(X3))) )
=> ( aSubsetOf0(sdtlcdtrc0(X3,szDzozmdt0(X3)),xT)
| ! [X6] :
( aElementOf0(X6,sdtlcdtrc0(X3,szDzozmdt0(X3)))
=> aElementOf0(X6,xT) ) ) )
& ( slbdtsldtrb0(X1,X0) = szDzozmdt0(X3)
| ! [X7] :
( ( ( sbrdtbr0(X7) = X0
& aSubsetOf0(X7,X1)
& ! [X8] :
( aElementOf0(X8,X7)
=> aElementOf0(X8,X1) )
& aSet0(X7) )
=> aElementOf0(X7,szDzozmdt0(X3)) )
& ( aElementOf0(X7,szDzozmdt0(X3))
=> ( sbrdtbr0(X7) = X0
& ( aSubsetOf0(X7,X1)
| ( ! [X9] :
( aElementOf0(X9,X7)
=> aElementOf0(X9,X1) )
& aSet0(X7) ) ) ) ) ) )
& aFunction0(X3) )
=> ( iLess0(X0,xK)
=> ? [X10] :
( ? [X11] :
( ! [X12] :
( ( aElementOf0(X12,slbdtsldtrb0(X11,X0))
| ( sbrdtbr0(X12) = X0
& ( aSubsetOf0(X12,X11)
| ( ! [X13] :
( aElementOf0(X13,X12)
=> aElementOf0(X13,X11) )
& aSet0(X12) ) ) ) )
=> sdtlpdtrp0(X3,X12) = X10 )
& isCountable0(X11)
& aSubsetOf0(X11,X1)
& ! [X14] :
( aElementOf0(X14,X11)
=> aElementOf0(X14,X1) )
& aSet0(X11) )
& aElementOf0(X10,xT) ) ) ) ) ),
inference(rectify,[],[f77]) ).
fof(f77,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( ( isCountable0(X1)
& ( aSubsetOf0(X1,szNzAzT0)
| ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,szNzAzT0) )
& aSet0(X1) ) ) )
=> ! [X2] :
( ( ( ( ! [X3] :
( aElementOf0(X3,sdtlcdtrc0(X2,szDzozmdt0(X2)))
<=> ? [X4] :
( sdtlpdtrp0(X2,X4) = X3
& aElementOf0(X4,szDzozmdt0(X2)) ) )
& aSet0(sdtlcdtrc0(X2,szDzozmdt0(X2))) )
=> ( aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT)
| ! [X3] :
( aElementOf0(X3,sdtlcdtrc0(X2,szDzozmdt0(X2)))
=> aElementOf0(X3,xT) ) ) )
& ( slbdtsldtrb0(X1,X0) = szDzozmdt0(X2)
| ! [X3] :
( ( ( sbrdtbr0(X3) = X0
& aSubsetOf0(X3,X1)
& ! [X4] :
( aElementOf0(X4,X3)
=> aElementOf0(X4,X1) )
& aSet0(X3) )
=> aElementOf0(X3,szDzozmdt0(X2)) )
& ( aElementOf0(X3,szDzozmdt0(X2))
=> ( sbrdtbr0(X3) = X0
& ( aSubsetOf0(X3,X1)
| ( ! [X4] :
( aElementOf0(X4,X3)
=> aElementOf0(X4,X1) )
& aSet0(X3) ) ) ) ) ) )
& aFunction0(X2) )
=> ( iLess0(X0,xK)
=> ? [X3] :
( ? [X4] :
( ! [X5] :
( ( aElementOf0(X5,slbdtsldtrb0(X4,X0))
| ( sbrdtbr0(X5) = X0
& ( aSubsetOf0(X5,X4)
| ( ! [X6] :
( aElementOf0(X6,X5)
=> aElementOf0(X6,X4) )
& aSet0(X5) ) ) ) )
=> sdtlpdtrp0(X2,X5) = X3 )
& isCountable0(X4)
& aSubsetOf0(X4,X1)
& ! [X5] :
( aElementOf0(X5,X4)
=> aElementOf0(X5,X1) )
& aSet0(X4) )
& aElementOf0(X3,xT) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3398) ).
fof(f3059,plain,
spl96_295,
inference(avatar_split_clause,[],[f788,f3057]) ).
fof(f788,plain,
! [X0,X1] :
( sP24(X1,X0)
| ~ isCountable0(X1)
| aElementOf0(sK66(X1),X1)
| ~ aSet0(X1)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f436]) ).
fof(f3055,plain,
spl96_294,
inference(avatar_split_clause,[],[f658,f3053]) ).
fof(f658,plain,
! [X0] :
( sP10(X0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f373]) ).
fof(f373,plain,
( ! [X0] :
( sP10(X0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& ( ( ~ aElementOf0(sK53(X0),szNzAzT0)
& aElementOf0(sK53(X0),sdtlpdtrp0(xN,X0)) )
| ~ aSet0(sdtlpdtrp0(xN,X0)) ) )
| ~ aElementOf0(X0,szNzAzT0) )
& xS = sdtlpdtrp0(xN,sz00)
& szNzAzT0 = szDzozmdt0(xN)
& aFunction0(xN) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK53])],[f283,f372]) ).
fof(f372,plain,
! [X0] :
( ? [X1] :
( ~ aElementOf0(X1,szNzAzT0)
& aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
=> ( ~ aElementOf0(sK53(X0),szNzAzT0)
& aElementOf0(sK53(X0),sdtlpdtrp0(xN,X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f283,plain,
( ! [X0] :
( sP10(X0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& ( ? [X1] :
( ~ aElementOf0(X1,szNzAzT0)
& aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
| ~ aSet0(sdtlpdtrp0(xN,X0)) ) )
| ~ aElementOf0(X0,szNzAzT0) )
& xS = sdtlpdtrp0(xN,sz00)
& szNzAzT0 = szDzozmdt0(xN)
& aFunction0(xN) ),
inference(definition_folding,[],[f142,f282,f281]) ).
fof(f142,plain,
( ! [X0] :
( ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X4] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4)
| ~ aElementOf0(X4,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& ( ? [X1] :
( ~ aElementOf0(X1,szNzAzT0)
& aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
| ~ aSet0(sdtlpdtrp0(xN,X0)) ) )
| ~ aElementOf0(X0,szNzAzT0) )
& xS = sdtlpdtrp0(xN,sz00)
& szNzAzT0 = szDzozmdt0(xN)
& aFunction0(xN) ),
inference(flattening,[],[f141]) ).
fof(f141,plain,
( ! [X0] :
( ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X4] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4)
| ~ aElementOf0(X4,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& ( ? [X1] :
( ~ aElementOf0(X1,szNzAzT0)
& aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
| ~ aSet0(sdtlpdtrp0(xN,X0)) ) )
| ~ aElementOf0(X0,szNzAzT0) )
& xS = sdtlpdtrp0(xN,sz00)
& szNzAzT0 = szDzozmdt0(xN)
& aFunction0(xN) ),
inference(ennf_transformation,[],[f113]) ).
fof(f113,plain,
( ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ( isCountable0(sdtlpdtrp0(xN,X0))
& ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ( ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> aElementOf0(X1,szNzAzT0) )
& aSet0(sdtlpdtrp0(xN,X0)) ) ) )
=> ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
=> aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X4] :
( aElementOf0(X4,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) ) )
& xS = sdtlpdtrp0(xN,sz00)
& szNzAzT0 = szDzozmdt0(xN)
& aFunction0(xN) ),
inference(rectify,[],[f81]) ).
fof(f81,axiom,
( ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ( isCountable0(sdtlpdtrp0(xN,X0))
& ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ( ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> aElementOf0(X1,szNzAzT0) )
& aSet0(sdtlpdtrp0(xN,X0)) ) ) )
=> ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
=> aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ! [X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X1
& aElementOf0(X1,sdtlpdtrp0(xN,X0))
& aElement0(X1) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X1) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) ) )
& xS = sdtlpdtrp0(xN,sz00)
& szNzAzT0 = szDzozmdt0(xN)
& aFunction0(xN) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3623) ).
fof(f3051,plain,
spl96_293,
inference(avatar_split_clause,[],[f582,f3049]) ).
fof(f3049,plain,
( spl96_293
<=> ! [X4] :
( aElementOf0(X4,szDzozmdt0(xc))
| xK != sbrdtbr0(X4)
| ~ aElementOf0(sK49(X4),xS)
| ~ aSet0(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_293])]) ).
fof(f582,plain,
! [X4] :
( aElementOf0(X4,szDzozmdt0(xc))
| xK != sbrdtbr0(X4)
| ~ aElementOf0(sK49(X4),xS)
| ~ aSet0(X4) ),
inference(cnf_transformation,[],[f340]) ).
fof(f340,plain,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& ! [X0] :
( aElementOf0(X0,xT)
| ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
& ! [X1] :
( ( aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ! [X2] :
( sdtlpdtrp0(xc,X2) != X1
| ~ aElementOf0(X2,szDzozmdt0(xc)) ) )
& ( ( sdtlpdtrp0(xc,sK48(X1)) = X1
& aElementOf0(sK48(X1),szDzozmdt0(xc)) )
| ~ aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc))) ) )
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& ! [X4] :
( ( aElementOf0(X4,szDzozmdt0(xc))
| xK != sbrdtbr0(X4)
| ( ~ aSubsetOf0(X4,xS)
& ( ( ~ aElementOf0(sK49(X4),xS)
& aElementOf0(sK49(X4),X4) )
| ~ aSet0(X4) ) ) )
& ( ( xK = sbrdtbr0(X4)
& aSubsetOf0(X4,xS)
& ! [X6] :
( aElementOf0(X6,xS)
| ~ aElementOf0(X6,X4) )
& aSet0(X4) )
| ~ aElementOf0(X4,szDzozmdt0(xc)) ) )
& aFunction0(xc) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK48,sK49])],[f337,f339,f338]) ).
fof(f338,plain,
! [X1] :
( ? [X3] :
( sdtlpdtrp0(xc,X3) = X1
& aElementOf0(X3,szDzozmdt0(xc)) )
=> ( sdtlpdtrp0(xc,sK48(X1)) = X1
& aElementOf0(sK48(X1),szDzozmdt0(xc)) ) ),
introduced(choice_axiom,[]) ).
fof(f339,plain,
! [X4] :
( ? [X5] :
( ~ aElementOf0(X5,xS)
& aElementOf0(X5,X4) )
=> ( ~ aElementOf0(sK49(X4),xS)
& aElementOf0(sK49(X4),X4) ) ),
introduced(choice_axiom,[]) ).
fof(f337,plain,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& ! [X0] :
( aElementOf0(X0,xT)
| ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
& ! [X1] :
( ( aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ! [X2] :
( sdtlpdtrp0(xc,X2) != X1
| ~ aElementOf0(X2,szDzozmdt0(xc)) ) )
& ( ? [X3] :
( sdtlpdtrp0(xc,X3) = X1
& aElementOf0(X3,szDzozmdt0(xc)) )
| ~ aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc))) ) )
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& ! [X4] :
( ( aElementOf0(X4,szDzozmdt0(xc))
| xK != sbrdtbr0(X4)
| ( ~ aSubsetOf0(X4,xS)
& ( ? [X5] :
( ~ aElementOf0(X5,xS)
& aElementOf0(X5,X4) )
| ~ aSet0(X4) ) ) )
& ( ( xK = sbrdtbr0(X4)
& aSubsetOf0(X4,xS)
& ! [X6] :
( aElementOf0(X6,xS)
| ~ aElementOf0(X6,X4) )
& aSet0(X4) )
| ~ aElementOf0(X4,szDzozmdt0(xc)) ) )
& aFunction0(xc) ),
inference(rectify,[],[f336]) ).
fof(f336,plain,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& ! [X0] :
( aElementOf0(X0,xT)
| ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
& ! [X1] :
( ( aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ! [X2] :
( sdtlpdtrp0(xc,X2) != X1
| ~ aElementOf0(X2,szDzozmdt0(xc)) ) )
& ( ? [X2] :
( sdtlpdtrp0(xc,X2) = X1
& aElementOf0(X2,szDzozmdt0(xc)) )
| ~ aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc))) ) )
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& ! [X3] :
( ( aElementOf0(X3,szDzozmdt0(xc))
| sbrdtbr0(X3) != xK
| ( ~ aSubsetOf0(X3,xS)
& ( ? [X4] :
( ~ aElementOf0(X4,xS)
& aElementOf0(X4,X3) )
| ~ aSet0(X3) ) ) )
& ( ( sbrdtbr0(X3) = xK
& aSubsetOf0(X3,xS)
& ! [X5] :
( aElementOf0(X5,xS)
| ~ aElementOf0(X5,X3) )
& aSet0(X3) )
| ~ aElementOf0(X3,szDzozmdt0(xc)) ) )
& aFunction0(xc) ),
inference(nnf_transformation,[],[f136]) ).
fof(f136,plain,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& ! [X0] :
( aElementOf0(X0,xT)
| ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
& ! [X1] :
( aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
<=> ? [X2] :
( sdtlpdtrp0(xc,X2) = X1
& aElementOf0(X2,szDzozmdt0(xc)) ) )
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& ! [X3] :
( ( aElementOf0(X3,szDzozmdt0(xc))
| sbrdtbr0(X3) != xK
| ( ~ aSubsetOf0(X3,xS)
& ( ? [X4] :
( ~ aElementOf0(X4,xS)
& aElementOf0(X4,X3) )
| ~ aSet0(X3) ) ) )
& ( ( sbrdtbr0(X3) = xK
& aSubsetOf0(X3,xS)
& ! [X5] :
( aElementOf0(X5,xS)
| ~ aElementOf0(X5,X3) )
& aSet0(X3) )
| ~ aElementOf0(X3,szDzozmdt0(xc)) ) )
& aFunction0(xc) ),
inference(flattening,[],[f135]) ).
fof(f135,plain,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& ! [X0] :
( aElementOf0(X0,xT)
| ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
& ! [X1] :
( aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
<=> ? [X2] :
( sdtlpdtrp0(xc,X2) = X1
& aElementOf0(X2,szDzozmdt0(xc)) ) )
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& ! [X3] :
( ( aElementOf0(X3,szDzozmdt0(xc))
| sbrdtbr0(X3) != xK
| ( ~ aSubsetOf0(X3,xS)
& ( ? [X4] :
( ~ aElementOf0(X4,xS)
& aElementOf0(X4,X3) )
| ~ aSet0(X3) ) ) )
& ( ( sbrdtbr0(X3) = xK
& aSubsetOf0(X3,xS)
& ! [X5] :
( aElementOf0(X5,xS)
| ~ aElementOf0(X5,X3) )
& aSet0(X3) )
| ~ aElementOf0(X3,szDzozmdt0(xc)) ) )
& aFunction0(xc) ),
inference(ennf_transformation,[],[f111]) ).
fof(f111,plain,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& ! [X0] :
( aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
=> aElementOf0(X0,xT) )
& ! [X1] :
( aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
<=> ? [X2] :
( sdtlpdtrp0(xc,X2) = X1
& aElementOf0(X2,szDzozmdt0(xc)) ) )
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& ! [X3] :
( ( ( sbrdtbr0(X3) = xK
& ( aSubsetOf0(X3,xS)
| ( ! [X4] :
( aElementOf0(X4,X3)
=> aElementOf0(X4,xS) )
& aSet0(X3) ) ) )
=> aElementOf0(X3,szDzozmdt0(xc)) )
& ( aElementOf0(X3,szDzozmdt0(xc))
=> ( sbrdtbr0(X3) = xK
& aSubsetOf0(X3,xS)
& ! [X5] :
( aElementOf0(X5,X3)
=> aElementOf0(X5,xS) )
& aSet0(X3) ) ) )
& aFunction0(xc) ),
inference(rectify,[],[f76]) ).
fof(f76,axiom,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& ! [X0] :
( aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
=> aElementOf0(X0,xT) )
& ! [X0] :
( aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
<=> ? [X1] :
( sdtlpdtrp0(xc,X1) = X0
& aElementOf0(X1,szDzozmdt0(xc)) ) )
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& ! [X0] :
( ( ( sbrdtbr0(X0) = xK
& ( aSubsetOf0(X0,xS)
| ( ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSet0(X0) ) ) )
=> aElementOf0(X0,szDzozmdt0(xc)) )
& ( aElementOf0(X0,szDzozmdt0(xc))
=> ( sbrdtbr0(X0) = xK
& aSubsetOf0(X0,xS)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSet0(X0) ) ) )
& aFunction0(xc) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3453) ).
fof(f3047,plain,
spl96_292,
inference(avatar_split_clause,[],[f581,f3045]) ).
fof(f3045,plain,
( spl96_292
<=> ! [X4] :
( aElementOf0(X4,szDzozmdt0(xc))
| xK != sbrdtbr0(X4)
| aElementOf0(sK49(X4),X4)
| ~ aSet0(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_292])]) ).
fof(f581,plain,
! [X4] :
( aElementOf0(X4,szDzozmdt0(xc))
| xK != sbrdtbr0(X4)
| aElementOf0(sK49(X4),X4)
| ~ aSet0(X4) ),
inference(cnf_transformation,[],[f340]) ).
fof(f2979,plain,
spl96_291,
inference(avatar_split_clause,[],[f1074,f2977]) ).
fof(f2977,plain,
( spl96_291
<=> ! [X2,X0,X1] :
( sP45(X0,X1,X2)
| sK92(X0,X1,X2) != X0
| aElementOf0(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_291])]) ).
fof(f1074,plain,
! [X2,X0,X1] :
( sP45(X0,X1,X2)
| sK92(X0,X1,X2) != X0
| aElementOf0(X0,X2) ),
inference(inner_rewriting,[],[f981]) ).
fof(f981,plain,
! [X2,X0,X1] :
( sP45(X0,X1,X2)
| sK92(X0,X1,X2) != X0
| aElementOf0(sK92(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f549]) ).
fof(f2975,plain,
spl96_290,
inference(avatar_split_clause,[],[f1049,f2973]) ).
fof(f1049,plain,
! [X2,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElementOf0(X4,szDzozmdt0(X1))
| ~ sP42(sdtlpdtrp0(X1,X4),X1,X2) ),
inference(equality_resolution,[],[f959]) ).
fof(f959,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| sdtlpdtrp0(X1,X4) != X0
| ~ aElementOf0(X4,szDzozmdt0(X1))
| ~ sP42(X0,X1,X2) ),
inference(cnf_transformation,[],[f537]) ).
fof(f2971,plain,
spl96_289,
inference(avatar_split_clause,[],[f1044,f2969]) ).
fof(f2969,plain,
( spl96_289
<=> ! [X0,X3] :
( sdtlseqdt0(szmzizndt0(X0),X3)
| ~ aElementOf0(X3,X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_289])]) ).
fof(f1044,plain,
! [X3,X0] :
( sdtlseqdt0(szmzizndt0(X0),X3)
| ~ aElementOf0(X3,X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f946]) ).
fof(f946,plain,
! [X3,X0,X1] :
( sdtlseqdt0(X1,X3)
| ~ aElementOf0(X3,X0)
| szmzizndt0(X0) != X1
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f526]) ).
fof(f2967,plain,
spl96_288,
inference(avatar_split_clause,[],[f1003,f2965]) ).
fof(f2965,plain,
( spl96_288
<=> ! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_288])]) ).
fof(f1003,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f256]) ).
fof(f256,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f255]) ).
fof(f255,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessTotal) ).
fof(f2963,plain,
spl96_287,
inference(avatar_split_clause,[],[f986,f2961]) ).
fof(f986,plain,
! [X0,X1] :
( X0 = X1
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f246]) ).
fof(f246,plain,
! [X0,X1] :
( X0 = X1
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f245]) ).
fof(f245,plain,
! [X0,X1] :
( X0 = X1
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1] :
( ( aSet0(X1)
& aSet0(X0) )
=> ( ( aSubsetOf0(X1,X0)
& aSubsetOf0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubASymm) ).
fof(f2959,plain,
spl96_286,
inference(avatar_split_clause,[],[f965,f2957]) ).
fof(f2957,plain,
( spl96_286
<=> ! [X2,X4,X0,X1] :
( X0 = X4
| aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ sP44(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_286])]) ).
fof(f965,plain,
! [X2,X0,X1,X4] :
( X0 = X4
| aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ sP44(X0,X1,X2) ),
inference(cnf_transformation,[],[f542]) ).
fof(f2955,plain,
spl96_285,
inference(avatar_split_clause,[],[f926,f2953]) ).
fof(f2953,plain,
( spl96_285
<=> ! [X0,X1,X3] :
( aElementOf0(X3,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,szNzAzT0)
| ~ sP40(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_285])]) ).
fof(f926,plain,
! [X3,X0,X1] :
( aElementOf0(X3,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,szNzAzT0)
| ~ sP40(X0,X1) ),
inference(cnf_transformation,[],[f514]) ).
fof(f2951,plain,
spl96_284,
inference(avatar_split_clause,[],[f882,f2949]) ).
fof(f2949,plain,
( spl96_284
<=> ! [X0,X6,X2,X1] :
( aElementOf0(sK80(X0,X1,X6),X1)
| ~ aElementOf0(X6,X2)
| ~ sP38(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_284])]) ).
fof(f882,plain,
! [X2,X0,X1,X6] :
( aElementOf0(sK80(X0,X1,X6),X1)
| ~ aElementOf0(X6,X2)
| ~ sP38(X0,X1,X2) ),
inference(cnf_transformation,[],[f497]) ).
fof(f2947,plain,
spl96_283,
inference(avatar_split_clause,[],[f869,f2945]) ).
fof(f869,plain,
! [X0] :
( aElement0(szDzizrdt0(X0))
| ~ isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ isCountable0(szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f182]) ).
fof(f2943,plain,
spl96_282,
inference(avatar_split_clause,[],[f802,f2941]) ).
fof(f802,plain,
! [X0,X1] :
( aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP28(X0,X1) ),
inference(cnf_transformation,[],[f439]) ).
fof(f2939,plain,
spl96_281,
inference(avatar_split_clause,[],[f796,f2937]) ).
fof(f796,plain,
! [X0,X1] :
( ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP29(X0,X1) ),
inference(cnf_transformation,[],[f437]) ).
fof(f2935,plain,
spl96_280,
inference(avatar_split_clause,[],[f745,f2933]) ).
fof(f745,plain,
! [X2,X0,X1] :
( aElement0(X2)
| ~ aElementOf0(X2,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP14(X0,X1) ),
inference(cnf_transformation,[],[f398]) ).
fof(f2931,plain,
spl96_279,
inference(avatar_split_clause,[],[f642,f2929]) ).
fof(f2929,plain,
( spl96_279
<=> ! [X2,X0] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| ~ sP10(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_279])]) ).
fof(f642,plain,
! [X2,X0] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| ~ sP10(X0) ),
inference(cnf_transformation,[],[f368]) ).
fof(f2927,plain,
spl96_278,
inference(avatar_split_clause,[],[f631,f2925]) ).
fof(f2925,plain,
( spl96_278
<=> ! [X0,X1] :
( sbrdtbr0(X0) = xk
| ~ aElementOf0(X0,szDzozmdt0(sdtlpdtrp0(xC,X1)))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_278])]) ).
fof(f631,plain,
! [X0,X1] :
( sbrdtbr0(X0) = xk
| ~ aElementOf0(X0,szDzozmdt0(sdtlpdtrp0(xC,X1)))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f364]) ).
fof(f2923,plain,
spl96_277,
inference(avatar_split_clause,[],[f617,f2921]) ).
fof(f617,plain,
! [X2,X0,X1] :
( aElement0(X2)
| ~ aElementOf0(X2,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f355]) ).
fof(f2919,plain,
spl96_276,
inference(avatar_split_clause,[],[f593,f2917]) ).
fof(f593,plain,
! [X0,X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X1)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f342]) ).
fof(f2900,plain,
spl96_275,
inference(avatar_split_clause,[],[f730,f2898]) ).
fof(f730,plain,
! [X0] :
( aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))),xT)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f285]) ).
fof(f2896,plain,
spl96_274,
inference(avatar_split_clause,[],[f574,f2894]) ).
fof(f574,plain,
! [X0,X1] :
( sdtlseqdt0(sdtlpdtrp0(xe,X0),X1)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
( ! [X0] :
( ( szmzizndt0(sdtlpdtrp0(xN,X0)) = sdtlpdtrp0(xe,X0)
& ! [X1] :
( sdtlseqdt0(sdtlpdtrp0(xe,X0),X1)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
& aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0)) )
| ~ aElementOf0(X0,szNzAzT0) )
& szNzAzT0 = szDzozmdt0(xe)
& aFunction0(xe) ),
inference(ennf_transformation,[],[f91]) ).
fof(f91,axiom,
( ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) = sdtlpdtrp0(xe,X0)
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(sdtlpdtrp0(xe,X0),X1) )
& aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0)) ) )
& szNzAzT0 = szDzozmdt0(xe)
& aFunction0(xe) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4660) ).
fof(f2740,plain,
spl96_273,
inference(avatar_split_clause,[],[f1043,f2738]) ).
fof(f2738,plain,
( spl96_273
<=> ! [X0] :
( aElementOf0(szmzazxdt0(X0),X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_273])]) ).
fof(f1043,plain,
! [X0] :
( aElementOf0(szmzazxdt0(X0),X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f939]) ).
fof(f939,plain,
! [X0,X1] :
( aElementOf0(X1,X0)
| szmzazxdt0(X0) != X1
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f519]) ).
fof(f2736,plain,
spl96_272,
inference(avatar_split_clause,[],[f1038,f2734]) ).
fof(f2734,plain,
( spl96_272
<=> ! [X0,X7,X2,X1] :
( aElementOf0(sdtlpdtrp0(X0,X7),X2)
| ~ aElementOf0(X7,X1)
| ~ sP38(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_272])]) ).
fof(f1038,plain,
! [X2,X0,X1,X7] :
( aElementOf0(sdtlpdtrp0(X0,X7),X2)
| ~ aElementOf0(X7,X1)
| ~ sP38(X0,X1,X2) ),
inference(equality_resolution,[],[f884]) ).
fof(f884,plain,
! [X2,X0,X1,X6,X7] :
( aElementOf0(X6,X2)
| sdtlpdtrp0(X0,X7) != X6
| ~ aElementOf0(X7,X1)
| ~ sP38(X0,X1,X2) ),
inference(cnf_transformation,[],[f497]) ).
fof(f2732,plain,
spl96_271,
inference(avatar_split_clause,[],[f993,f2730]) ).
fof(f2730,plain,
( spl96_271
<=> ! [X2,X0,X1] :
( slbdtsldtrb0(X0,X1) = X2
| ~ sP46(X1,X0,X2)
| ~ sP47(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_271])]) ).
fof(f993,plain,
! [X2,X0,X1] :
( slbdtsldtrb0(X0,X1) = X2
| ~ sP46(X1,X0,X2)
| ~ sP47(X0,X1) ),
inference(cnf_transformation,[],[f556]) ).
fof(f556,plain,
! [X0,X1] :
( ! [X2] :
( ( slbdtsldtrb0(X0,X1) = X2
| ~ sP46(X1,X0,X2) )
& ( sP46(X1,X0,X2)
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ sP47(X0,X1) ),
inference(nnf_transformation,[],[f334]) ).
fof(f334,plain,
! [X0,X1] :
( ! [X2] :
( slbdtsldtrb0(X0,X1) = X2
<=> sP46(X1,X0,X2) )
| ~ sP47(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP47])]) ).
fof(f2728,plain,
spl96_270,
inference(avatar_split_clause,[],[f966,f2726]) ).
fof(f2726,plain,
( spl96_270
<=> ! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4)
| ~ sP44(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_270])]) ).
fof(f966,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4)
| ~ sP44(X0,X1,X2) ),
inference(cnf_transformation,[],[f542]) ).
fof(f2724,plain,
spl96_269,
inference(avatar_split_clause,[],[f958,f2722]) ).
fof(f2722,plain,
( spl96_269
<=> ! [X2,X4,X0,X1] :
( sdtlpdtrp0(X1,X4) = X0
| ~ aElementOf0(X4,X2)
| ~ sP42(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_269])]) ).
fof(f958,plain,
! [X2,X0,X1,X4] :
( sdtlpdtrp0(X1,X4) = X0
| ~ aElementOf0(X4,X2)
| ~ sP42(X0,X1,X2) ),
inference(cnf_transformation,[],[f537]) ).
fof(f2720,plain,
spl96_268,
inference(avatar_split_clause,[],[f955,f2718]) ).
fof(f2718,plain,
( spl96_268
<=> ! [X2,X0,X1] :
( sdtlbdtrb0(X0,X1) = X2
| ~ sP42(X1,X0,X2)
| ~ sP43(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_268])]) ).
fof(f955,plain,
! [X2,X0,X1] :
( sdtlbdtrb0(X0,X1) = X2
| ~ sP42(X1,X0,X2)
| ~ sP43(X0,X1) ),
inference(cnf_transformation,[],[f532]) ).
fof(f532,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtlbdtrb0(X0,X1) = X2
| ~ sP42(X1,X0,X2) )
& ( sP42(X1,X0,X2)
| sdtlbdtrb0(X0,X1) != X2 ) )
| ~ sP43(X0,X1) ),
inference(nnf_transformation,[],[f327]) ).
fof(f327,plain,
! [X0,X1] :
( ! [X2] :
( sdtlbdtrb0(X0,X1) = X2
<=> sP42(X1,X0,X2) )
| ~ sP43(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP43])]) ).
fof(f2716,plain,
spl96_267,
inference(avatar_split_clause,[],[f932,f2714]) ).
fof(f2714,plain,
( spl96_267
<=> ! [X0,X1] :
( slcrc0 != slbdtsldtrb0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_267])]) ).
fof(f932,plain,
! [X0,X1] :
( slcrc0 != slbdtsldtrb0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f215]) ).
fof(f215,plain,
! [X0] :
( ! [X1] :
( slcrc0 != slbdtsldtrb0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0) )
| isFinite0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f214]) ).
fof(f214,plain,
! [X0] :
( ! [X1] :
( slcrc0 != slbdtsldtrb0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0) )
| isFinite0(X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f59]) ).
fof(f59,axiom,
! [X0] :
( ( ~ isFinite0(X0)
& aSet0(X0) )
=> ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> slcrc0 != slbdtsldtrb0(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSelNSet) ).
fof(f2712,plain,
spl96_266,
inference(avatar_split_clause,[],[f908,f2710]) ).
fof(f2710,plain,
( spl96_266
<=> ! [X0,X1] :
( aSubsetOf0(X1,X0)
| ~ aElementOf0(sK83(X0,X1),X0)
| ~ aSet0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_266])]) ).
fof(f908,plain,
! [X0,X1] :
( aSubsetOf0(X1,X0)
| ~ aElementOf0(sK83(X0,X1),X0)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f506]) ).
fof(f506,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ( ~ aElementOf0(sK83(X0,X1),X0)
& aElementOf0(sK83(X0,X1),X1) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK83])],[f504,f505]) ).
fof(f505,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK83(X0,X1),X0)
& aElementOf0(sK83(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f504,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(rectify,[],[f503]) ).
fof(f503,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(flattening,[],[f502]) ).
fof(f502,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f199]) ).
fof(f199,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSub) ).
fof(f2708,plain,
spl96_265,
inference(avatar_split_clause,[],[f907,f2706]) ).
fof(f907,plain,
! [X0,X1] :
( aSubsetOf0(X1,X0)
| aElementOf0(sK83(X0,X1),X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f506]) ).
fof(f2704,plain,
spl96_264,
inference(avatar_split_clause,[],[f903,f2702]) ).
fof(f903,plain,
! [X0,X1] :
( sdtlseqdt0(sbrdtbr0(X1),sbrdtbr0(X0))
| ~ aSubsetOf0(X1,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f196]) ).
fof(f196,plain,
! [X0] :
( ! [X1] :
( sdtlseqdt0(sbrdtbr0(X1),sbrdtbr0(X0))
| ~ aSubsetOf0(X1,X0)
| ~ isFinite0(X0) )
| ~ aSet0(X0) ),
inference(flattening,[],[f195]) ).
fof(f195,plain,
! [X0] :
( ! [X1] :
( sdtlseqdt0(sbrdtbr0(X1),sbrdtbr0(X0))
| ~ aSubsetOf0(X1,X0)
| ~ isFinite0(X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( ( aSubsetOf0(X1,X0)
& isFinite0(X0) )
=> sdtlseqdt0(sbrdtbr0(X1),sbrdtbr0(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardSub) ).
fof(f2700,plain,
spl96_263,
inference(avatar_split_clause,[],[f902,f2698]) ).
fof(f902,plain,
! [X0,X1] :
( sdtpldt0(sdtmndt0(X0,X1),X1) = X0
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f194]) ).
fof(f194,plain,
! [X0] :
( ! [X1] :
( sdtpldt0(sdtmndt0(X0,X1),X1) = X0
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> sdtpldt0(sdtmndt0(X0,X1),X1) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mConsDiff) ).
fof(f2696,plain,
spl96_262,
inference(avatar_split_clause,[],[f880,f2694]) ).
fof(f2694,plain,
( spl96_262
<=> ! [X2,X0,X1] :
( sdtlcdtrc0(X1,X0) = X2
| ~ sP38(X1,X0,X2)
| ~ sP39(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_262])]) ).
fof(f880,plain,
! [X2,X0,X1] :
( sdtlcdtrc0(X1,X0) = X2
| ~ sP38(X1,X0,X2)
| ~ sP39(X0,X1) ),
inference(cnf_transformation,[],[f490]) ).
fof(f490,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtlcdtrc0(X1,X0) = X2
| ~ sP38(X1,X0,X2) )
& ( sP38(X1,X0,X2)
| sdtlcdtrc0(X1,X0) != X2 ) )
| ~ sP39(X0,X1) ),
inference(rectify,[],[f489]) ).
fof(f489,plain,
! [X1,X0] :
( ! [X2] :
( ( sdtlcdtrc0(X0,X1) = X2
| ~ sP38(X0,X1,X2) )
& ( sP38(X0,X1,X2)
| sdtlcdtrc0(X0,X1) != X2 ) )
| ~ sP39(X1,X0) ),
inference(nnf_transformation,[],[f321]) ).
fof(f321,plain,
! [X1,X0] :
( ! [X2] :
( sdtlcdtrc0(X0,X1) = X2
<=> sP38(X0,X1,X2) )
| ~ sP39(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f2692,plain,
spl96_261,
inference(avatar_split_clause,[],[f872,f2690]) ).
fof(f2690,plain,
( spl96_261
<=> ! [X2,X0,X1] :
( sdtexdt0(X1,X0) = X2
| ~ sP36(X2,X1,X0)
| ~ sP37(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_261])]) ).
fof(f872,plain,
! [X2,X0,X1] :
( sdtexdt0(X1,X0) = X2
| ~ sP36(X2,X1,X0)
| ~ sP37(X0,X1) ),
inference(cnf_transformation,[],[f483]) ).
fof(f483,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtexdt0(X1,X0) = X2
| ~ sP36(X2,X1,X0) )
& ( sP36(X2,X1,X0)
| sdtexdt0(X1,X0) != X2 ) )
| ~ sP37(X0,X1) ),
inference(rectify,[],[f482]) ).
fof(f482,plain,
! [X1,X0] :
( ! [X2] :
( ( sdtexdt0(X0,X1) = X2
| ~ sP36(X2,X0,X1) )
& ( sP36(X2,X0,X1)
| sdtexdt0(X0,X1) != X2 ) )
| ~ sP37(X1,X0) ),
inference(nnf_transformation,[],[f318]) ).
fof(f318,plain,
! [X1,X0] :
( ! [X2] :
( sdtexdt0(X0,X1) = X2
<=> sP36(X2,X0,X1) )
| ~ sP37(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f2688,plain,
spl96_260,
inference(avatar_split_clause,[],[f826,f2686]) ).
fof(f2686,plain,
( spl96_260
<=> ! [X0,X1] :
( aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP33(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_260])]) ).
fof(f826,plain,
! [X0,X1] :
( aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP33(X0,X1) ),
inference(cnf_transformation,[],[f462]) ).
fof(f2684,plain,
spl96_259,
inference(avatar_split_clause,[],[f799,f2682]) ).
fof(f2682,plain,
( spl96_259
<=> ! [X0,X1] :
( aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP28(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_259])]) ).
fof(f799,plain,
! [X0,X1] :
( aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP28(X0,X1) ),
inference(cnf_transformation,[],[f439]) ).
fof(f2680,plain,
spl96_258,
inference(avatar_split_clause,[],[f793,f2678]) ).
fof(f2678,plain,
( spl96_258
<=> ! [X0,X1] :
( aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP29(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_258])]) ).
fof(f793,plain,
! [X0,X1] :
( aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP29(X0,X1) ),
inference(cnf_transformation,[],[f437]) ).
fof(f2676,plain,
spl96_257,
inference(avatar_split_clause,[],[f767,f2674]) ).
fof(f2674,plain,
( spl96_257
<=> ! [X0,X3,X2,X1] :
( aSubsetOf0(sK60(X0,X1,X2,X3),X3)
| ~ sP22(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_257])]) ).
fof(f767,plain,
! [X2,X3,X0,X1] :
( aSubsetOf0(sK60(X0,X1,X2,X3),X3)
| ~ sP22(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f415]) ).
fof(f2672,plain,
spl96_256,
inference(avatar_split_clause,[],[f749,f2670]) ).
fof(f2670,plain,
( spl96_256
<=> ! [X0,X1] :
( sbrdtbr0(X0) != xk
| aElementOf0(sK58(X0,X1),X0)
| ~ sP13(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_256])]) ).
fof(f749,plain,
! [X0,X1] :
( sbrdtbr0(X0) != xk
| aElementOf0(sK58(X0,X1),X0)
| ~ sP13(X0,X1) ),
inference(cnf_transformation,[],[f402]) ).
fof(f2668,plain,
spl96_255,
inference(avatar_split_clause,[],[f741,f2666]) ).
fof(f2666,plain,
( spl96_255
<=> ! [X0,X1] :
( aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP15(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_255])]) ).
fof(f741,plain,
! [X0,X1] :
( aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP15(X0,X1) ),
inference(cnf_transformation,[],[f395]) ).
fof(f2664,plain,
spl96_254,
inference(avatar_split_clause,[],[f737,f2662]) ).
fof(f2662,plain,
( spl96_254
<=> ! [X0,X1] :
( xK = sbrdtbr0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP16(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_254])]) ).
fof(f737,plain,
! [X0,X1] :
( xK = sbrdtbr0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP16(X0,X1) ),
inference(cnf_transformation,[],[f394]) ).
fof(f2660,plain,
spl96_253,
inference(avatar_split_clause,[],[f621,f2658]) ).
fof(f621,plain,
! [X0,X1] :
( sbrdtbr0(X0) != xk
| aElementOf0(sK51(X0,X1),X0)
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f359]) ).
fof(f2656,plain,
spl96_252,
inference(avatar_split_clause,[],[f613,f2654]) ).
fof(f2654,plain,
( spl96_252
<=> ! [X0,X1] :
( aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_252])]) ).
fof(f613,plain,
! [X0,X1] :
( aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f352]) ).
fof(f2620,plain,
spl96_251,
inference(avatar_split_clause,[],[f1072,f2618]) ).
fof(f1072,plain,
! [X0,X1] :
( aElementOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),szDzozmdt0(xc))
| ~ sP16(X0,X1) ),
inference(forward_demodulation,[],[f738,f584]) ).
fof(f584,plain,
szDzozmdt0(xc) = slbdtsldtrb0(xS,xK),
inference(cnf_transformation,[],[f340]) ).
fof(f738,plain,
! [X0,X1] :
( aElementOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),slbdtsldtrb0(xS,xK))
| ~ sP16(X0,X1) ),
inference(cnf_transformation,[],[f394]) ).
fof(f2616,plain,
spl96_250,
inference(avatar_split_clause,[],[f1015,f2614]) ).
fof(f1015,plain,
! [X2] :
( aElementOf0(sdtlpdtrp0(xc,X2),sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ~ aElementOf0(X2,szDzozmdt0(xc)) ),
inference(equality_resolution,[],[f588]) ).
fof(f588,plain,
! [X2,X1] :
( aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| sdtlpdtrp0(xc,X2) != X1
| ~ aElementOf0(X2,szDzozmdt0(xc)) ),
inference(cnf_transformation,[],[f340]) ).
fof(f2612,plain,
spl96_249,
inference(avatar_split_clause,[],[f853,f2610]) ).
fof(f853,plain,
! [X0,X1] :
( sP35(X0,X1)
| X0 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f316]) ).
fof(f2608,plain,
spl96_248,
inference(avatar_split_clause,[],[f727,f2606]) ).
fof(f2606,plain,
( spl96_248
<=> ! [X0] :
( aSet0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_248])]) ).
fof(f727,plain,
! [X0] :
( aSet0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f285]) ).
fof(f2604,plain,
spl96_247,
inference(avatar_split_clause,[],[f673,f2602]) ).
fof(f673,plain,
! [X3] :
( szDzizrdt0(xd) = sdtlpdtrp0(xd,X3)
| ~ aElementOf0(X3,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(cnf_transformation,[],[f380]) ).
fof(f2595,plain,
( spl96_246
| ~ spl96_48
| ~ spl96_79 ),
inference(avatar_split_clause,[],[f1630,f1451,f1311,f2592]) ).
fof(f2592,plain,
( spl96_246
<=> sP5(xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_246])]) ).
fof(f1451,plain,
( spl96_79
<=> sP8(xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_79])]) ).
fof(f1630,plain,
( sP5(xk)
| ~ spl96_48
| ~ spl96_79 ),
inference(resolution,[],[f1453,f1312]) ).
fof(f1453,plain,
( sP8(xk)
| ~ spl96_79 ),
inference(avatar_component_clause,[],[f1451]) ).
fof(f2590,plain,
( spl96_245
| ~ spl96_41
| ~ spl96_244 ),
inference(avatar_split_clause,[],[f2586,f2583,f1275,f2588]) ).
fof(f1275,plain,
( spl96_41
<=> xp = szmzizndt0(xQ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_41])]) ).
fof(f2583,plain,
( spl96_244
<=> ! [X0] :
( aElementOf0(X0,xP)
| szmzizndt0(xQ) = X0
| ~ aElementOf0(X0,xQ)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_244])]) ).
fof(f2586,plain,
( ! [X0] :
( xp = X0
| aElementOf0(X0,xP)
| ~ aElementOf0(X0,xQ)
| ~ aElement0(X0) )
| ~ spl96_41
| ~ spl96_244 ),
inference(forward_demodulation,[],[f2584,f1277]) ).
fof(f1277,plain,
( xp = szmzizndt0(xQ)
| ~ spl96_41 ),
inference(avatar_component_clause,[],[f1275]) ).
fof(f2584,plain,
( ! [X0] :
( aElementOf0(X0,xP)
| szmzizndt0(xQ) = X0
| ~ aElementOf0(X0,xQ)
| ~ aElement0(X0) )
| ~ spl96_244 ),
inference(avatar_component_clause,[],[f2583]) ).
fof(f2585,plain,
spl96_244,
inference(avatar_split_clause,[],[f664,f2583]) ).
fof(f664,plain,
! [X0] :
( aElementOf0(X0,xP)
| szmzizndt0(xQ) = X0
| ~ aElementOf0(X0,xQ)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f375]) ).
fof(f375,plain,
( xP = sdtmndt0(xQ,szmzizndt0(xQ))
& ! [X0] :
( ( aElementOf0(X0,xP)
| szmzizndt0(xQ) = X0
| ~ aElementOf0(X0,xQ)
| ~ aElement0(X0) )
& ( ( szmzizndt0(xQ) != X0
& aElementOf0(X0,xQ)
& aElement0(X0) )
| ~ aElementOf0(X0,xP) ) )
& ! [X1] :
( sdtlseqdt0(szmzizndt0(xQ),X1)
| ~ aElementOf0(X1,xQ) )
& aSet0(xP) ),
inference(flattening,[],[f374]) ).
fof(f374,plain,
( xP = sdtmndt0(xQ,szmzizndt0(xQ))
& ! [X0] :
( ( aElementOf0(X0,xP)
| szmzizndt0(xQ) = X0
| ~ aElementOf0(X0,xQ)
| ~ aElement0(X0) )
& ( ( szmzizndt0(xQ) != X0
& aElementOf0(X0,xQ)
& aElement0(X0) )
| ~ aElementOf0(X0,xP) ) )
& ! [X1] :
( sdtlseqdt0(szmzizndt0(xQ),X1)
| ~ aElementOf0(X1,xQ) )
& aSet0(xP) ),
inference(nnf_transformation,[],[f143]) ).
fof(f143,plain,
( xP = sdtmndt0(xQ,szmzizndt0(xQ))
& ! [X0] :
( aElementOf0(X0,xP)
<=> ( szmzizndt0(xQ) != X0
& aElementOf0(X0,xQ)
& aElement0(X0) ) )
& ! [X1] :
( sdtlseqdt0(szmzizndt0(xQ),X1)
| ~ aElementOf0(X1,xQ) )
& aSet0(xP) ),
inference(ennf_transformation,[],[f114]) ).
fof(f114,plain,
( xP = sdtmndt0(xQ,szmzizndt0(xQ))
& ! [X0] :
( aElementOf0(X0,xP)
<=> ( szmzizndt0(xQ) != X0
& aElementOf0(X0,xQ)
& aElement0(X0) ) )
& ! [X1] :
( aElementOf0(X1,xQ)
=> sdtlseqdt0(szmzizndt0(xQ),X1) )
& aSet0(xP) ),
inference(rectify,[],[f104]) ).
fof(f104,axiom,
( xP = sdtmndt0(xQ,szmzizndt0(xQ))
& ! [X0] :
( aElementOf0(X0,xP)
<=> ( szmzizndt0(xQ) != X0
& aElementOf0(X0,xQ)
& aElement0(X0) ) )
& ! [X0] :
( aElementOf0(X0,xQ)
=> sdtlseqdt0(szmzizndt0(xQ),X0) )
& aSet0(xP) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5164) ).
fof(f2581,plain,
spl96_243,
inference(avatar_split_clause,[],[f587,f2579]) ).
fof(f2579,plain,
( spl96_243
<=> ! [X1] :
( sdtlpdtrp0(xc,sK48(X1)) = X1
| ~ aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_243])]) ).
fof(f587,plain,
! [X1] :
( sdtlpdtrp0(xc,sK48(X1)) = X1
| ~ aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
inference(cnf_transformation,[],[f340]) ).
fof(f2544,plain,
( spl96_242
| ~ spl96_49
| ~ spl96_79 ),
inference(avatar_split_clause,[],[f1629,f1451,f1315,f2541]) ).
fof(f2541,plain,
( spl96_242
<=> sP6(xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_242])]) ).
fof(f1629,plain,
( sP6(xk)
| ~ spl96_49
| ~ spl96_79 ),
inference(resolution,[],[f1453,f1316]) ).
fof(f2531,plain,
( spl96_241
| ~ spl96_50
| ~ spl96_79 ),
inference(avatar_split_clause,[],[f1628,f1451,f1319,f2528]) ).
fof(f2528,plain,
( spl96_241
<=> sP7(xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_241])]) ).
fof(f1628,plain,
( sP7(xk)
| ~ spl96_50
| ~ spl96_79 ),
inference(resolution,[],[f1453,f1320]) ).
fof(f2524,plain,
spl96_240,
inference(avatar_split_clause,[],[f1057,f2522]) ).
fof(f1057,plain,
! [X2,X1,X4] :
( aElementOf0(X4,X2)
| ~ aSubsetOf0(X4,X1)
| ~ sP46(sbrdtbr0(X4),X1,X2) ),
inference(equality_resolution,[],[f997]) ).
fof(f997,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| sbrdtbr0(X4) != X0
| ~ aSubsetOf0(X4,X1)
| ~ sP46(X0,X1,X2) ),
inference(cnf_transformation,[],[f561]) ).
fof(f2520,plain,
spl96_239,
inference(avatar_split_clause,[],[f996,f2518]) ).
fof(f2518,plain,
( spl96_239
<=> ! [X4,X0,X2,X1] :
( sbrdtbr0(X4) = X0
| ~ aElementOf0(X4,X2)
| ~ sP46(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_239])]) ).
fof(f996,plain,
! [X2,X0,X1,X4] :
( sbrdtbr0(X4) = X0
| ~ aElementOf0(X4,X2)
| ~ sP46(X0,X1,X2) ),
inference(cnf_transformation,[],[f561]) ).
fof(f2516,plain,
spl96_238,
inference(avatar_split_clause,[],[f957,f2514]) ).
fof(f2514,plain,
( spl96_238
<=> ! [X4,X0,X1,X2] :
( aElementOf0(X4,szDzozmdt0(X1))
| ~ aElementOf0(X4,X2)
| ~ sP42(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_238])]) ).
fof(f957,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,szDzozmdt0(X1))
| ~ aElementOf0(X4,X2)
| ~ sP42(X0,X1,X2) ),
inference(cnf_transformation,[],[f537]) ).
fof(f2512,plain,
spl96_237,
inference(avatar_split_clause,[],[f934,f2510]) ).
fof(f2510,plain,
( spl96_237
<=> ! [X0,X1] :
( isFinite0(slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_237])]) ).
fof(f934,plain,
! [X0,X1] :
( isFinite0(slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f219]) ).
fof(f219,plain,
! [X0] :
( ! [X1] :
( isFinite0(slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0) )
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f218]) ).
fof(f218,plain,
! [X0] :
( ! [X1] :
( isFinite0(slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0) )
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,axiom,
! [X0] :
( ( isFinite0(X0)
& aSet0(X0) )
=> ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> isFinite0(slbdtsldtrb0(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSelFSet) ).
fof(f2508,plain,
spl96_236,
inference(avatar_split_clause,[],[f920,f2506]) ).
fof(f920,plain,
! [X0] :
( szszuzczcdt0(sK84(X0)) = X0
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f508]) ).
fof(f508,plain,
! [X0] :
( ( szszuzczcdt0(sK84(X0)) = X0
& aElementOf0(sK84(X0),szNzAzT0) )
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK84])],[f210,f507]) ).
fof(f507,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
=> ( szszuzczcdt0(sK84(X0)) = X0
& aElementOf0(sK84(X0),szNzAzT0) ) ),
introduced(choice_axiom,[]) ).
fof(f210,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f209]) ).
fof(f209,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
| sz00 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNatExtra) ).
fof(f2504,plain,
spl96_235,
inference(avatar_split_clause,[],[f906,f2502]) ).
fof(f2502,plain,
( spl96_235
<=> ! [X0,X1,X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_235])]) ).
fof(f906,plain,
! [X3,X0,X1] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f506]) ).
fof(f2500,plain,
spl96_234,
inference(avatar_split_clause,[],[f824,f2498]) ).
fof(f824,plain,
! [X0,X1] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ sP33(X0,X1) ),
inference(cnf_transformation,[],[f462]) ).
fof(f2496,plain,
spl96_233,
inference(avatar_split_clause,[],[f797,f2494]) ).
fof(f2494,plain,
( spl96_233
<=> ! [X0,X1] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ sP28(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_233])]) ).
fof(f797,plain,
! [X0,X1] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ sP28(X0,X1) ),
inference(cnf_transformation,[],[f439]) ).
fof(f2492,plain,
( spl96_232
| ~ spl96_48
| ~ spl96_72 ),
inference(avatar_split_clause,[],[f1619,f1422,f1311,f2489]) ).
fof(f2489,plain,
( spl96_232
<=> sP5(xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_232])]) ).
fof(f1422,plain,
( spl96_72
<=> sP8(xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_72])]) ).
fof(f1619,plain,
( sP5(xK)
| ~ spl96_48
| ~ spl96_72 ),
inference(resolution,[],[f1424,f1312]) ).
fof(f1424,plain,
( sP8(xK)
| ~ spl96_72 ),
inference(avatar_component_clause,[],[f1422]) ).
fof(f2487,plain,
spl96_231,
inference(avatar_split_clause,[],[f791,f2485]) ).
fof(f2485,plain,
( spl96_231
<=> ! [X0,X1] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ sP29(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_231])]) ).
fof(f791,plain,
! [X0,X1] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ sP29(X0,X1) ),
inference(cnf_transformation,[],[f437]) ).
fof(f2483,plain,
spl96_230,
inference(avatar_split_clause,[],[f784,f2481]) ).
fof(f2481,plain,
( spl96_230
<=> ! [X4,X0,X3,X2,X1] :
( aElementOf0(X4,X3)
| ~ aElementOf0(X4,X1)
| ~ sP17(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_230])]) ).
fof(f784,plain,
! [X2,X3,X0,X1,X4] :
( aElementOf0(X4,X3)
| ~ aElementOf0(X4,X1)
| ~ sP17(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f434]) ).
fof(f434,plain,
! [X0,X1,X2,X3] :
( ( ~ aElementOf0(X1,szDzozmdt0(X0))
& sbrdtbr0(X1) = X2
& aSubsetOf0(X1,X3)
& ! [X4] :
( aElementOf0(X4,X3)
| ~ aElementOf0(X4,X1) )
& aSet0(X1) )
| ~ sP17(X0,X1,X2,X3) ),
inference(rectify,[],[f433]) ).
fof(f433,plain,
! [X3,X7,X0,X1] :
( ( ~ aElementOf0(X7,szDzozmdt0(X3))
& sbrdtbr0(X7) = X0
& aSubsetOf0(X7,X1)
& ! [X8] :
( aElementOf0(X8,X1)
| ~ aElementOf0(X8,X7) )
& aSet0(X7) )
| ~ sP17(X3,X7,X0,X1) ),
inference(nnf_transformation,[],[f292]) ).
fof(f2479,plain,
spl96_229,
inference(avatar_split_clause,[],[f768,f2477]) ).
fof(f2477,plain,
( spl96_229
<=> ! [X0,X3,X2,X1] :
( isCountable0(sK60(X0,X1,X2,X3))
| ~ sP22(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_229])]) ).
fof(f768,plain,
! [X2,X3,X0,X1] :
( isCountable0(sK60(X0,X1,X2,X3))
| ~ sP22(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f415]) ).
fof(f2475,plain,
spl96_228,
inference(avatar_split_clause,[],[f765,f2473]) ).
fof(f2473,plain,
( spl96_228
<=> ! [X0,X3,X2,X1] :
( aSet0(sK60(X0,X1,X2,X3))
| ~ sP22(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_228])]) ).
fof(f765,plain,
! [X2,X3,X0,X1] :
( aSet0(sK60(X0,X1,X2,X3))
| ~ sP22(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f415]) ).
fof(f2471,plain,
spl96_227,
inference(avatar_split_clause,[],[f739,f2469]) ).
fof(f2469,plain,
( spl96_227
<=> ! [X0,X1] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ sP15(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_227])]) ).
fof(f739,plain,
! [X0,X1] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ sP15(X0,X1) ),
inference(cnf_transformation,[],[f395]) ).
fof(f2467,plain,
spl96_226,
inference(avatar_split_clause,[],[f736,f2465]) ).
fof(f736,plain,
! [X0,X1] :
( aSubsetOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),xS)
| ~ sP16(X0,X1) ),
inference(cnf_transformation,[],[f394]) ).
fof(f2463,plain,
spl96_225,
inference(avatar_split_clause,[],[f731,f2461]) ).
fof(f2461,plain,
( spl96_225
<=> ! [X0,X1] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ sP16(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_225])]) ).
fof(f731,plain,
! [X0,X1] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ sP16(X0,X1) ),
inference(cnf_transformation,[],[f394]) ).
fof(f2459,plain,
spl96_224,
inference(avatar_split_clause,[],[f643,f2457]) ).
fof(f2457,plain,
( spl96_224
<=> ! [X0] :
( aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP10(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_224])]) ).
fof(f643,plain,
! [X0] :
( aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP10(X0) ),
inference(cnf_transformation,[],[f368]) ).
fof(f2455,plain,
spl96_223,
inference(avatar_split_clause,[],[f628,f2453]) ).
fof(f2453,plain,
( spl96_223
<=> ! [X0,X1] :
( aSet0(X0)
| ~ aElementOf0(X0,szDzozmdt0(sdtlpdtrp0(xC,X1)))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_223])]) ).
fof(f628,plain,
! [X0,X1] :
( aSet0(X0)
| ~ aElementOf0(X0,szDzozmdt0(sdtlpdtrp0(xC,X1)))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f364]) ).
fof(f2451,plain,
spl96_222,
inference(avatar_split_clause,[],[f611,f2449]) ).
fof(f2449,plain,
( spl96_222
<=> ! [X0,X1] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_222])]) ).
fof(f611,plain,
! [X0,X1] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f352]) ).
fof(f2447,plain,
( spl96_221
| ~ spl96_49
| ~ spl96_72 ),
inference(avatar_split_clause,[],[f1618,f1422,f1315,f2444]) ).
fof(f2444,plain,
( spl96_221
<=> sP6(xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_221])]) ).
fof(f1618,plain,
( sP6(xK)
| ~ spl96_49
| ~ spl96_72 ),
inference(resolution,[],[f1424,f1316]) ).
fof(f2442,plain,
spl96_220,
inference(avatar_split_clause,[],[f594,f2440]) ).
fof(f594,plain,
! [X0] :
( aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f342]) ).
fof(f2385,plain,
spl96_219,
inference(avatar_split_clause,[],[f1068,f2383]) ).
fof(f2383,plain,
( spl96_219
<=> ! [X1] :
( ~ aElementOf0(X1,sdtlcdtrc0(xd,szNzAzT0))
| sdtlpdtrp0(xd,sK55(X1)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_219])]) ).
fof(f1068,plain,
! [X1] :
( ~ aElementOf0(X1,sdtlcdtrc0(xd,szNzAzT0))
| sdtlpdtrp0(xd,sK55(X1)) = X1 ),
inference(forward_demodulation,[],[f700,f636]) ).
fof(f700,plain,
! [X1] :
( sdtlpdtrp0(xd,sK55(X1)) = X1
| ~ aElementOf0(X1,sdtlcdtrc0(xd,szDzozmdt0(xd))) ),
inference(cnf_transformation,[],[f386]) ).
fof(f386,plain,
( aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT)
& ! [X0] :
( aElementOf0(X0,xT)
| ~ aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd))) )
& ! [X1] :
( ( aElementOf0(X1,sdtlcdtrc0(xd,szDzozmdt0(xd)))
| ! [X2] :
( sdtlpdtrp0(xd,X2) != X1
| ~ aElementOf0(X2,szDzozmdt0(xd)) ) )
& ( ( sdtlpdtrp0(xd,sK55(X1)) = X1
& aElementOf0(sK55(X1),szDzozmdt0(xd)) )
| ~ aElementOf0(X1,sdtlcdtrc0(xd,szDzozmdt0(xd))) ) )
& aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK55])],[f384,f385]) ).
fof(f385,plain,
! [X1] :
( ? [X3] :
( sdtlpdtrp0(xd,X3) = X1
& aElementOf0(X3,szDzozmdt0(xd)) )
=> ( sdtlpdtrp0(xd,sK55(X1)) = X1
& aElementOf0(sK55(X1),szDzozmdt0(xd)) ) ),
introduced(choice_axiom,[]) ).
fof(f384,plain,
( aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT)
& ! [X0] :
( aElementOf0(X0,xT)
| ~ aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd))) )
& ! [X1] :
( ( aElementOf0(X1,sdtlcdtrc0(xd,szDzozmdt0(xd)))
| ! [X2] :
( sdtlpdtrp0(xd,X2) != X1
| ~ aElementOf0(X2,szDzozmdt0(xd)) ) )
& ( ? [X3] :
( sdtlpdtrp0(xd,X3) = X1
& aElementOf0(X3,szDzozmdt0(xd)) )
| ~ aElementOf0(X1,sdtlcdtrc0(xd,szDzozmdt0(xd))) ) )
& aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd))) ),
inference(rectify,[],[f383]) ).
fof(f383,plain,
( aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT)
& ! [X0] :
( aElementOf0(X0,xT)
| ~ aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd))) )
& ! [X1] :
( ( aElementOf0(X1,sdtlcdtrc0(xd,szDzozmdt0(xd)))
| ! [X2] :
( sdtlpdtrp0(xd,X2) != X1
| ~ aElementOf0(X2,szDzozmdt0(xd)) ) )
& ( ? [X2] :
( sdtlpdtrp0(xd,X2) = X1
& aElementOf0(X2,szDzozmdt0(xd)) )
| ~ aElementOf0(X1,sdtlcdtrc0(xd,szDzozmdt0(xd))) ) )
& aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd))) ),
inference(nnf_transformation,[],[f147]) ).
fof(f147,plain,
( aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT)
& ! [X0] :
( aElementOf0(X0,xT)
| ~ aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd))) )
& ! [X1] :
( aElementOf0(X1,sdtlcdtrc0(xd,szDzozmdt0(xd)))
<=> ? [X2] :
( sdtlpdtrp0(xd,X2) = X1
& aElementOf0(X2,szDzozmdt0(xd)) ) )
& aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd))) ),
inference(ennf_transformation,[],[f116]) ).
fof(f116,plain,
( aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT)
& ! [X0] :
( aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd)))
=> aElementOf0(X0,xT) )
& ! [X1] :
( aElementOf0(X1,sdtlcdtrc0(xd,szDzozmdt0(xd)))
<=> ? [X2] :
( sdtlpdtrp0(xd,X2) = X1
& aElementOf0(X2,szDzozmdt0(xd)) ) )
& aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd))) ),
inference(rectify,[],[f93]) ).
fof(f93,axiom,
( aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT)
& ! [X0] :
( aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd)))
=> aElementOf0(X0,xT) )
& ! [X0] :
( aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd)))
<=> ? [X1] :
( sdtlpdtrp0(xd,X1) = X0
& aElementOf0(X1,szDzozmdt0(xd)) ) )
& aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4758) ).
fof(f2381,plain,
( spl96_218
| ~ spl96_50
| ~ spl96_72 ),
inference(avatar_split_clause,[],[f1617,f1422,f1319,f2378]) ).
fof(f2378,plain,
( spl96_218
<=> sP7(xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_218])]) ).
fof(f1617,plain,
( sP7(xK)
| ~ spl96_50
| ~ spl96_72 ),
inference(resolution,[],[f1424,f1320]) ).
fof(f2376,plain,
spl96_217,
inference(avatar_split_clause,[],[f1021,f2374]) ).
fof(f1021,plain,
! [X1] :
( aElementOf0(sdtlpdtrp0(xe,X1),xO)
| ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(equality_resolution,[],[f677]) ).
fof(f677,plain,
! [X0,X1] :
( aElementOf0(X0,xO)
| sdtlpdtrp0(xe,X1) != X0
| ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(cnf_transformation,[],[f380]) ).
fof(f2372,plain,
spl96_216,
inference(avatar_split_clause,[],[f790,f2370]) ).
fof(f790,plain,
! [X0,X1] :
( sP24(X1,X0)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f436]) ).
fof(f2368,plain,
spl96_215,
inference(avatar_split_clause,[],[f756,f2366]) ).
fof(f756,plain,
! [X0,X1] :
( sP16(X0,X1)
| sP15(X0,X1)
| ~ aSet0(X1)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f291]) ).
fof(f291,plain,
! [X0] :
( ! [X1] :
( sP16(X0,X1)
| sP15(X0,X1)
| ~ aSet0(X1) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(definition_folding,[],[f158,f290,f289,f288,f287,f286]) ).
fof(f158,plain,
! [X0] :
( ! [X1] :
( ( aElementOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),slbdtsldtrb0(xS,xK))
& xK = sbrdtbr0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& aSubsetOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),xS)
& ! [X5] :
( aElementOf0(X5,xS)
| ~ aElementOf0(X5,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& ! [X6] :
( aElementOf0(X6,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X6
| aElementOf0(X6,X1) )
& aElement0(X6) ) )
& aSet0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X7] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X7)
| ~ aElementOf0(X7,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ( ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& ( sbrdtbr0(X1) != xk
| ( ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ? [X4] :
( ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X4,X1) ) ) )
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ aSet0(X1) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f157]) ).
fof(f157,plain,
! [X0] :
( ! [X1] :
( ( aElementOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),slbdtsldtrb0(xS,xK))
& xK = sbrdtbr0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& aSubsetOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),xS)
& ! [X5] :
( aElementOf0(X5,xS)
| ~ aElementOf0(X5,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& ! [X6] :
( aElementOf0(X6,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X6
| aElementOf0(X6,X1) )
& aElement0(X6) ) )
& aSet0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X7] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X7)
| ~ aElementOf0(X7,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ( ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& ( sbrdtbr0(X1) != xk
| ( ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ? [X4] :
( ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X4,X1) ) ) )
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ aSet0(X1) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( ( ( ( ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
=> ( ( ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
=> ( aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
| ( sbrdtbr0(X1) = xk
& ( aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ! [X4] :
( aElementOf0(X4,X1)
=> aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) ) ) ) )
& aSet0(X1) )
=> ( aElementOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),slbdtsldtrb0(xS,xK))
& xK = sbrdtbr0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& aSubsetOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),xS)
& ! [X5] :
( aElementOf0(X5,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
=> aElementOf0(X5,xS) )
& ! [X6] :
( aElementOf0(X6,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X6
| aElementOf0(X6,X1) )
& aElement0(X6) ) )
& aSet0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X7] :
( aElementOf0(X7,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X7) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) ) ),
inference(rectify,[],[f85]) ).
fof(f85,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( ( ( ( ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
=> ( ( ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X2
& aElementOf0(X2,sdtlpdtrp0(xN,X0))
& aElement0(X2) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
=> ( aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
| ( sbrdtbr0(X1) = xk
& ( aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) ) ) ) )
& aSet0(X1) )
=> ( aElementOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),slbdtsldtrb0(xS,xK))
& xK = sbrdtbr0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& aSubsetOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),xS)
& ! [X2] :
( aElementOf0(X2,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
=> aElementOf0(X2,xS) )
& ! [X2] :
( aElementOf0(X2,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X2
| aElementOf0(X2,X1) )
& aElement0(X2) ) )
& aSet0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3965) ).
fof(f2364,plain,
spl96_214,
inference(avatar_split_clause,[],[f721,f2362]) ).
fof(f721,plain,
! [X0,X1] :
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f155]) ).
fof(f155,plain,
! [X0] :
( ( isCountable0(sdtlpdtrp0(xN,X0))
& aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
& aSet0(sdtlpdtrp0(xN,X0)) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f82,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( isCountable0(sdtlpdtrp0(xN,X0))
& aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> aElementOf0(X1,szNzAzT0) )
& aSet0(sdtlpdtrp0(xN,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3671) ).
fof(f2360,plain,
spl96_213,
inference(avatar_split_clause,[],[f586,f2358]) ).
fof(f586,plain,
! [X1] :
( aElementOf0(sK48(X1),szDzozmdt0(xc))
| ~ aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
inference(cnf_transformation,[],[f340]) ).
fof(f2356,plain,
spl96_212,
inference(avatar_split_clause,[],[f583,f2354]) ).
fof(f2354,plain,
( spl96_212
<=> ! [X4] :
( aElementOf0(X4,szDzozmdt0(xc))
| xK != sbrdtbr0(X4)
| ~ aSubsetOf0(X4,xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_212])]) ).
fof(f583,plain,
! [X4] :
( aElementOf0(X4,szDzozmdt0(xc))
| xK != sbrdtbr0(X4)
| ~ aSubsetOf0(X4,xS) ),
inference(cnf_transformation,[],[f340]) ).
fof(f2352,plain,
spl96_211,
inference(avatar_split_clause,[],[f575,f2350]) ).
fof(f575,plain,
! [X0] :
( szmzizndt0(sdtlpdtrp0(xN,X0)) = sdtlpdtrp0(xe,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f2305,plain,
( spl96_210
| ~ spl96_48
| ~ spl96_66 ),
inference(avatar_split_clause,[],[f1479,f1394,f1311,f2302]) ).
fof(f1479,plain,
( sP5(sz00)
| ~ spl96_48
| ~ spl96_66 ),
inference(resolution,[],[f1396,f1312]) ).
fof(f2266,plain,
( spl96_209
| ~ spl96_49
| ~ spl96_66 ),
inference(avatar_split_clause,[],[f1478,f1394,f1315,f2263]) ).
fof(f2263,plain,
( spl96_209
<=> sP6(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_209])]) ).
fof(f1478,plain,
( sP6(sz00)
| ~ spl96_49
| ~ spl96_66 ),
inference(resolution,[],[f1396,f1316]) ).
fof(f2223,plain,
spl96_208,
inference(avatar_split_clause,[],[f1054,f2221]) ).
fof(f1054,plain,
! [X0,X1] :
( sP45(X1,X0,sdtmndt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f984]) ).
fof(f984,plain,
! [X2,X0,X1] :
( sP45(X1,X0,X2)
| sdtmndt0(X0,X1) != X2
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f551]) ).
fof(f2219,plain,
spl96_207,
inference(avatar_split_clause,[],[f1051,f2217]) ).
fof(f1051,plain,
! [X0,X1] :
( sP44(X1,X0,sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f973]) ).
fof(f973,plain,
! [X2,X0,X1] :
( sP44(X1,X0,X2)
| sdtpldt0(X0,X1) != X2
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f544]) ).
fof(f2215,plain,
spl96_206,
inference(avatar_split_clause,[],[f1045,f2213]) ).
fof(f1045,plain,
! [X0] :
( aElementOf0(szmzizndt0(X0),X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f945]) ).
fof(f945,plain,
! [X0,X1] :
( aElementOf0(X1,X0)
| szmzizndt0(X0) != X1
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f526]) ).
fof(f2211,plain,
spl96_205,
inference(avatar_split_clause,[],[f995,f2209]) ).
fof(f2209,plain,
( spl96_205
<=> ! [X4,X0,X1,X2] :
( aSubsetOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ sP46(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_205])]) ).
fof(f995,plain,
! [X2,X0,X1,X4] :
( aSubsetOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ sP46(X0,X1,X2) ),
inference(cnf_transformation,[],[f561]) ).
fof(f2205,plain,
spl96_204,
inference(avatar_split_clause,[],[f976,f2203]) ).
fof(f2203,plain,
( spl96_204
<=> ! [X4,X0,X1,X2] :
( aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ sP45(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_204])]) ).
fof(f976,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ sP45(X0,X1,X2) ),
inference(cnf_transformation,[],[f549]) ).
fof(f2201,plain,
spl96_203,
inference(avatar_split_clause,[],[f953,f2199]) ).
fof(f953,plain,
! [X0,X1] :
( aSubsetOf0(sdtlbdtrb0(X0,X1),szDzozmdt0(X0))
| ~ aElement0(X1)
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f238]) ).
fof(f238,plain,
! [X0,X1] :
( aSubsetOf0(sdtlbdtrb0(X0,X1),szDzozmdt0(X0))
| ~ aElement0(X1)
| ~ aFunction0(X0) ),
inference(flattening,[],[f237]) ).
fof(f237,plain,
! [X0,X1] :
( aSubsetOf0(sdtlbdtrb0(X0,X1),szDzozmdt0(X0))
| ~ aElement0(X1)
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aFunction0(X0) )
=> aSubsetOf0(sdtlbdtrb0(X0,X1),szDzozmdt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mPttSet) ).
fof(f2197,plain,
spl96_202,
inference(avatar_split_clause,[],[f944,f2195]) ).
fof(f2195,plain,
( spl96_202
<=> ! [X0] :
( aSubsetOf0(X0,slbdtrb0(sK87(X0)))
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_202])]) ).
fof(f944,plain,
! [X0] :
( aSubsetOf0(X0,slbdtrb0(sK87(X0)))
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f521]) ).
fof(f521,plain,
! [X0] :
( ( aSubsetOf0(X0,slbdtrb0(sK87(X0)))
& aElementOf0(sK87(X0),szNzAzT0) )
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK87])],[f231,f520]) ).
fof(f520,plain,
! [X0] :
( ? [X1] :
( aSubsetOf0(X0,slbdtrb0(X1))
& aElementOf0(X1,szNzAzT0) )
=> ( aSubsetOf0(X0,slbdtrb0(sK87(X0)))
& aElementOf0(sK87(X0),szNzAzT0) ) ),
introduced(choice_axiom,[]) ).
fof(f231,plain,
! [X0] :
( ? [X1] :
( aSubsetOf0(X0,slbdtrb0(X1))
& aElementOf0(X1,szNzAzT0) )
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(flattening,[],[f230]) ).
fof(f230,plain,
! [X0] :
( ? [X1] :
( aSubsetOf0(X0,slbdtrb0(X1))
& aElementOf0(X1,szNzAzT0) )
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,axiom,
! [X0] :
( ( isFinite0(X0)
& aSubsetOf0(X0,szNzAzT0) )
=> ? [X1] :
( aSubsetOf0(X0,slbdtrb0(X1))
& aElementOf0(X1,szNzAzT0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mFinSubSeg) ).
fof(f2193,plain,
spl96_201,
inference(avatar_split_clause,[],[f925,f2191]) ).
fof(f925,plain,
! [X3,X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,X1)
| ~ sP40(X0,X1) ),
inference(cnf_transformation,[],[f514]) ).
fof(f2189,plain,
spl96_200,
inference(avatar_split_clause,[],[f919,f2187]) ).
fof(f919,plain,
! [X0] :
( aElementOf0(sK84(X0),szNzAzT0)
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f508]) ).
fof(f2185,plain,
spl96_199,
inference(avatar_split_clause,[],[f889,f2183]) ).
fof(f889,plain,
! [X0,X1] :
( aElement0(sdtlpdtrp0(X0,X1))
| ~ aElementOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f185]) ).
fof(f185,plain,
! [X0] :
( ! [X1] :
( aElement0(sdtlpdtrp0(X0,X1))
| ~ aElementOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f65]) ).
fof(f65,axiom,
! [X0] :
( aFunction0(X0)
=> ! [X1] :
( aElementOf0(X1,szDzozmdt0(X0))
=> aElement0(sdtlpdtrp0(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mImgElm) ).
fof(f2181,plain,
spl96_198,
inference(avatar_split_clause,[],[f867,f2179]) ).
fof(f867,plain,
! [X0,X1] :
( isCountable0(sdtmndt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f179]) ).
fof(f179,plain,
! [X0] :
( ! [X1] :
( isCountable0(sdtmndt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(flattening,[],[f178]) ).
fof(f178,plain,
! [X0] :
( ! [X1] :
( isCountable0(sdtmndt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( aElement0(X0)
=> ! [X1] :
( ( isCountable0(X1)
& aSet0(X1) )
=> isCountable0(sdtmndt0(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCDiffSet) ).
fof(f2177,plain,
spl96_197,
inference(avatar_split_clause,[],[f866,f2175]) ).
fof(f2175,plain,
( spl96_197
<=> ! [X0,X1] :
( isCountable0(sdtpldt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_197])]) ).
fof(f866,plain,
! [X0,X1] :
( isCountable0(sdtpldt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f177]) ).
fof(f177,plain,
! [X0] :
( ! [X1] :
( isCountable0(sdtpldt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(flattening,[],[f176]) ).
fof(f176,plain,
! [X0] :
( ! [X1] :
( isCountable0(sdtpldt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0] :
( aElement0(X0)
=> ! [X1] :
( ( isCountable0(X1)
& aSet0(X1) )
=> isCountable0(sdtpldt0(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCConsSet) ).
fof(f2173,plain,
spl96_196,
inference(avatar_split_clause,[],[f865,f2171]) ).
fof(f2171,plain,
( spl96_196
<=> ! [X0,X1] :
( isFinite0(sdtmndt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_196])]) ).
fof(f865,plain,
! [X0,X1] :
( isFinite0(sdtmndt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f175]) ).
fof(f175,plain,
! [X0] :
( ! [X1] :
( isFinite0(sdtmndt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(flattening,[],[f174]) ).
fof(f174,plain,
! [X0] :
( ! [X1] :
( isFinite0(sdtmndt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] :
( aElement0(X0)
=> ! [X1] :
( ( isFinite0(X1)
& aSet0(X1) )
=> isFinite0(sdtmndt0(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mFDiffSet) ).
fof(f2169,plain,
spl96_195,
inference(avatar_split_clause,[],[f864,f2167]) ).
fof(f2167,plain,
( spl96_195
<=> ! [X0,X1] :
( isFinite0(sdtpldt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_195])]) ).
fof(f864,plain,
! [X0,X1] :
( isFinite0(sdtpldt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f173]) ).
fof(f173,plain,
! [X0] :
( ! [X1] :
( isFinite0(sdtpldt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(flattening,[],[f172]) ).
fof(f172,plain,
! [X0] :
( ! [X1] :
( isFinite0(sdtpldt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0] :
( aElement0(X0)
=> ! [X1] :
( ( isFinite0(X1)
& aSet0(X1) )
=> isFinite0(sdtpldt0(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mFConsSet) ).
fof(f2165,plain,
( spl96_194
| ~ spl96_64
| ~ spl96_94
| ~ spl96_186 ),
inference(avatar_split_clause,[],[f2137,f2114,f1529,f1381,f2162]) ).
fof(f2162,plain,
( spl96_194
<=> sP34(xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_194])]) ).
fof(f2137,plain,
( sP34(xp)
| ~ spl96_64
| ~ spl96_94
| ~ spl96_186 ),
inference(forward_demodulation,[],[f2135,f1383]) ).
fof(f2135,plain,
( sP34(sdtlpdtrp0(xe,sK76))
| ~ spl96_94
| ~ spl96_186 ),
inference(resolution,[],[f2115,f1531]) ).
fof(f2160,plain,
spl96_193,
inference(avatar_split_clause,[],[f808,f2158]) ).
fof(f808,plain,
! [X0,X1] :
( aElementOf0(sK67(X0,X1),X1)
| ~ aSet0(X1)
| ~ sP26(X0,X1) ),
inference(cnf_transformation,[],[f446]) ).
fof(f2156,plain,
spl96_192,
inference(avatar_split_clause,[],[f733,f2154]) ).
fof(f733,plain,
! [X0,X1] :
( aSet0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP16(X0,X1) ),
inference(cnf_transformation,[],[f394]) ).
fof(f2152,plain,
spl96_191,
inference(avatar_split_clause,[],[f641,f2150]) ).
fof(f641,plain,
! [X0] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ sP10(X0) ),
inference(cnf_transformation,[],[f368]) ).
fof(f2148,plain,
spl96_190,
inference(avatar_split_clause,[],[f601,f2146]) ).
fof(f601,plain,
! [X0,X1] :
( sP3(X0,X1)
| sP4(X0,X1)
| ~ aSet0(X1)
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f344]) ).
fof(f2144,plain,
spl96_189,
inference(avatar_split_clause,[],[f592,f2142]) ).
fof(f592,plain,
! [X0] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f342]) ).
fof(f2125,plain,
( spl96_188
| ~ spl96_50
| ~ spl96_66 ),
inference(avatar_split_clause,[],[f1477,f1394,f1319,f2122]) ).
fof(f2122,plain,
( spl96_188
<=> sP7(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_188])]) ).
fof(f1477,plain,
( sP7(sz00)
| ~ spl96_50
| ~ spl96_66 ),
inference(resolution,[],[f1396,f1320]) ).
fof(f2120,plain,
spl96_187,
inference(avatar_split_clause,[],[f1067,f2118]) ).
fof(f1067,plain,
! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| aElementOf0(sdtlpdtrp0(xd,X2),sdtlcdtrc0(xd,szNzAzT0)) ),
inference(forward_demodulation,[],[f1066,f636]) ).
fof(f1066,plain,
! [X2] :
( aElementOf0(sdtlpdtrp0(xd,X2),sdtlcdtrc0(xd,szNzAzT0))
| ~ aElementOf0(X2,szDzozmdt0(xd)) ),
inference(forward_demodulation,[],[f1022,f636]) ).
fof(f1022,plain,
! [X2] :
( aElementOf0(sdtlpdtrp0(xd,X2),sdtlcdtrc0(xd,szDzozmdt0(xd)))
| ~ aElementOf0(X2,szDzozmdt0(xd)) ),
inference(equality_resolution,[],[f701]) ).
fof(f701,plain,
! [X2,X1] :
( aElementOf0(X1,sdtlcdtrc0(xd,szDzozmdt0(xd)))
| sdtlpdtrp0(xd,X2) != X1
| ~ aElementOf0(X2,szDzozmdt0(xd)) ),
inference(cnf_transformation,[],[f386]) ).
fof(f2116,plain,
spl96_186,
inference(avatar_split_clause,[],[f1033,f2114]) ).
fof(f1033,plain,
! [X1] :
( sP34(sdtlpdtrp0(xe,X1))
| ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(equality_resolution,[],[f847]) ).
fof(f847,plain,
! [X0,X1] :
( sP34(X0)
| sdtlpdtrp0(xe,X1) != X0
| ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(cnf_transformation,[],[f314]) ).
fof(f314,plain,
! [X0] :
( sP34(X0)
| ( ~ aElementOf0(X0,xO)
& ! [X1] :
( sdtlpdtrp0(xe,X1) != X0
| ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ) ),
inference(definition_folding,[],[f167,f313]) ).
fof(f313,plain,
! [X0] :
( ? [X2] :
( sdtlpdtrp0(xe,X2) = X0
& aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& szDzizrdt0(xd) = sdtlpdtrp0(xd,X2)
& aElementOf0(X2,szNzAzT0) )
| ~ sP34(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f167,plain,
! [X0] :
( ? [X2] :
( sdtlpdtrp0(xe,X2) = X0
& aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& szDzizrdt0(xd) = sdtlpdtrp0(xd,X2)
& aElementOf0(X2,szNzAzT0) )
| ( ~ aElementOf0(X0,xO)
& ! [X1] :
( sdtlpdtrp0(xe,X1) != X0
| ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ) ),
inference(ennf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0] :
( ( aElementOf0(X0,xO)
| ? [X1] :
( sdtlpdtrp0(xe,X1) = X0
& aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
=> ? [X2] :
( sdtlpdtrp0(xe,X2) = X0
& aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& szDzizrdt0(xd) = sdtlpdtrp0(xd,X2)
& aElementOf0(X2,szNzAzT0) ) ),
inference(rectify,[],[f97]) ).
fof(f97,axiom,
! [X0] :
( ( aElementOf0(X0,xO)
| ? [X1] :
( sdtlpdtrp0(xe,X1) = X0
& aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
=> ? [X1] :
( sdtlpdtrp0(xe,X1) = X0
& aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xd,X1) = szDzizrdt0(xd)
& aElementOf0(X1,szNzAzT0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4982) ).
fof(f2112,plain,
spl96_185,
inference(avatar_split_clause,[],[f675,f2110]) ).
fof(f675,plain,
! [X0] :
( aElementOf0(sK54(X0),sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ aElementOf0(X0,xO) ),
inference(cnf_transformation,[],[f380]) ).
fof(f2108,plain,
spl96_184,
inference(avatar_split_clause,[],[f578,f2106]) ).
fof(f2106,plain,
( spl96_184
<=> ! [X6,X4] :
( aElementOf0(X6,xS)
| ~ aElementOf0(X6,X4)
| ~ aElementOf0(X4,szDzozmdt0(xc)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_184])]) ).
fof(f578,plain,
! [X6,X4] :
( aElementOf0(X6,xS)
| ~ aElementOf0(X6,X4)
| ~ aElementOf0(X4,szDzozmdt0(xc)) ),
inference(cnf_transformation,[],[f340]) ).
fof(f2104,plain,
spl96_183,
inference(avatar_split_clause,[],[f573,f2102]) ).
fof(f573,plain,
! [X0] :
( aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f2028,plain,
( spl96_182
| ~ spl96_34
| ~ spl96_78 ),
inference(avatar_split_clause,[],[f1460,f1447,f1241,f2025]) ).
fof(f1460,plain,
( sP41(sz00)
| ~ spl96_34
| ~ spl96_78 ),
inference(resolution,[],[f1448,f1243]) ).
fof(f2015,plain,
spl96_181,
inference(avatar_split_clause,[],[f1056,f2013]) ).
fof(f1056,plain,
! [X0,X1] :
( sP46(X1,X0,slbdtsldtrb0(X0,X1))
| ~ sP47(X0,X1) ),
inference(equality_resolution,[],[f992]) ).
fof(f992,plain,
! [X2,X0,X1] :
( sP46(X1,X0,X2)
| slbdtsldtrb0(X0,X1) != X2
| ~ sP47(X0,X1) ),
inference(cnf_transformation,[],[f556]) ).
fof(f2011,plain,
spl96_180,
inference(avatar_split_clause,[],[f1050,f2009]) ).
fof(f1050,plain,
! [X2,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElement0(X4)
| ~ sP44(X4,X1,X2) ),
inference(equality_resolution,[],[f967]) ).
fof(f967,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| X0 != X4
| ~ aElement0(X4)
| ~ sP44(X0,X1,X2) ),
inference(cnf_transformation,[],[f542]) ).
fof(f2007,plain,
spl96_179,
inference(avatar_split_clause,[],[f1048,f2005]) ).
fof(f1048,plain,
! [X0,X1] :
( sP42(X1,X0,sdtlbdtrb0(X0,X1))
| ~ sP43(X0,X1) ),
inference(equality_resolution,[],[f954]) ).
fof(f954,plain,
! [X2,X0,X1] :
( sP42(X1,X0,X2)
| sdtlbdtrb0(X0,X1) != X2
| ~ sP43(X0,X1) ),
inference(cnf_transformation,[],[f532]) ).
fof(f2003,plain,
spl96_178,
inference(avatar_split_clause,[],[f1037,f2001]) ).
fof(f1037,plain,
! [X0,X1] :
( sP38(X1,X0,sdtlcdtrc0(X1,X0))
| ~ sP39(X0,X1) ),
inference(equality_resolution,[],[f879]) ).
fof(f879,plain,
! [X2,X0,X1] :
( sP38(X1,X0,X2)
| sdtlcdtrc0(X1,X0) != X2
| ~ sP39(X0,X1) ),
inference(cnf_transformation,[],[f490]) ).
fof(f1999,plain,
spl96_177,
inference(avatar_split_clause,[],[f1034,f1997]) ).
fof(f1034,plain,
! [X0,X1] :
( sP36(sdtexdt0(X1,X0),X1,X0)
| ~ sP37(X0,X1) ),
inference(equality_resolution,[],[f871]) ).
fof(f871,plain,
! [X2,X0,X1] :
( sP36(X2,X1,X0)
| sdtexdt0(X1,X0) != X2
| ~ sP37(X0,X1) ),
inference(cnf_transformation,[],[f483]) ).
fof(f1995,plain,
spl96_176,
inference(avatar_split_clause,[],[f975,f1993]) ).
fof(f1993,plain,
( spl96_176
<=> ! [X4,X0,X2,X1] :
( aElement0(X4)
| ~ aElementOf0(X4,X2)
| ~ sP45(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_176])]) ).
fof(f975,plain,
! [X2,X0,X1,X4] :
( aElement0(X4)
| ~ aElementOf0(X4,X2)
| ~ sP45(X0,X1,X2) ),
inference(cnf_transformation,[],[f549]) ).
fof(f1991,plain,
spl96_175,
inference(avatar_split_clause,[],[f964,f1989]) ).
fof(f1989,plain,
( spl96_175
<=> ! [X4,X0,X2,X1] :
( aElement0(X4)
| ~ aElementOf0(X4,X2)
| ~ sP44(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_175])]) ).
fof(f964,plain,
! [X2,X0,X1,X4] :
( aElement0(X4)
| ~ aElementOf0(X4,X2)
| ~ sP44(X0,X1,X2) ),
inference(cnf_transformation,[],[f542]) ).
fof(f1987,plain,
spl96_174,
inference(avatar_split_clause,[],[f951,f1985]) ).
fof(f951,plain,
! [X0] :
( slcrc0 = X0
| aElementOf0(sK89(X0),X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f531]) ).
fof(f531,plain,
! [X0] :
( ( slcrc0 = X0
| aElementOf0(sK89(X0),X0)
| ~ aSet0(X0) )
& ( ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK89])],[f529,f530]) ).
fof(f530,plain,
! [X0] :
( ? [X1] : aElementOf0(X1,X0)
=> aElementOf0(sK89(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f529,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(rectify,[],[f528]) ).
fof(f528,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(flattening,[],[f527]) ).
fof(f527,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(nnf_transformation,[],[f234]) ).
fof(f234,plain,
! [X0] :
( slcrc0 = X0
<=> ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( slcrc0 = X0
<=> ( ~ ? [X1] : aElementOf0(X1,X0)
& aSet0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefEmp) ).
fof(f1983,plain,
spl96_173,
inference(avatar_split_clause,[],[f943,f1981]) ).
fof(f943,plain,
! [X0] :
( aElementOf0(sK87(X0),szNzAzT0)
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f521]) ).
fof(f1979,plain,
spl96_172,
inference(avatar_split_clause,[],[f935,f1977]) ).
fof(f935,plain,
! [X0,X1] :
( isFinite0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f221]) ).
fof(f221,plain,
! [X0] :
( ! [X1] :
( isFinite0(X1)
| ~ aSubsetOf0(X1,X0) )
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f220]) ).
fof(f220,plain,
! [X0] :
( ! [X1] :
( isFinite0(X1)
| ~ aSubsetOf0(X1,X0) )
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] :
( ( isFinite0(X0)
& aSet0(X0) )
=> ! [X1] :
( aSubsetOf0(X1,X0)
=> isFinite0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubFSet) ).
fof(f1975,plain,
spl96_171,
inference(avatar_split_clause,[],[f924,f1973]) ).
fof(f924,plain,
! [X3,X0,X1] :
( aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X3,X1)
| ~ sP40(X0,X1) ),
inference(cnf_transformation,[],[f514]) ).
fof(f1971,plain,
spl96_170,
inference(avatar_split_clause,[],[f922,f1969]) ).
fof(f1969,plain,
( spl96_170
<=> ! [X0,X1] :
( slbdtrb0(X0) = X1
| ~ sP40(X0,X1)
| ~ sP41(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_170])]) ).
fof(f922,plain,
! [X0,X1] :
( slbdtrb0(X0) = X1
| ~ sP40(X0,X1)
| ~ sP41(X0) ),
inference(cnf_transformation,[],[f509]) ).
fof(f509,plain,
! [X0] :
( ! [X1] :
( ( slbdtrb0(X0) = X1
| ~ sP40(X0,X1) )
& ( sP40(X0,X1)
| slbdtrb0(X0) != X1 ) )
| ~ sP41(X0) ),
inference(nnf_transformation,[],[f324]) ).
fof(f324,plain,
! [X0] :
( ! [X1] :
( slbdtrb0(X0) = X1
<=> sP40(X0,X1) )
| ~ sP41(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).
fof(f1967,plain,
spl96_169,
inference(avatar_split_clause,[],[f897,f1965]) ).
fof(f1965,plain,
( spl96_169
<=> ! [X0] :
( slcrc0 = X0
| sz00 != sbrdtbr0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_169])]) ).
fof(f897,plain,
! [X0] :
( slcrc0 = X0
| sz00 != sbrdtbr0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f500]) ).
fof(f500,plain,
! [X0] :
( ( ( sz00 = sbrdtbr0(X0)
| slcrc0 != X0 )
& ( slcrc0 = X0
| sz00 != sbrdtbr0(X0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f191]) ).
fof(f191,plain,
! [X0] :
( ( sz00 = sbrdtbr0(X0)
<=> slcrc0 = X0 )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0] :
( aSet0(X0)
=> ( sz00 = sbrdtbr0(X0)
<=> slcrc0 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardEmpty) ).
fof(f1963,plain,
spl96_168,
inference(avatar_split_clause,[],[f888,f1961]) ).
fof(f888,plain,
! [X0,X1] :
( sP39(X1,X0)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f322]) ).
fof(f322,plain,
! [X0] :
( ! [X1] :
( sP39(X1,X0)
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(definition_folding,[],[f184,f321,f320]) ).
fof(f184,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( sdtlcdtrc0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4] :
( sdtlpdtrp0(X0,X4) = X3
& aElementOf0(X4,X1) ) )
& aSet0(X2) ) )
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f68]) ).
fof(f68,axiom,
! [X0] :
( aFunction0(X0)
=> ! [X1] :
( aSubsetOf0(X1,szDzozmdt0(X0))
=> ! [X2] :
( sdtlcdtrc0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4] :
( sdtlpdtrp0(X0,X4) = X3
& aElementOf0(X4,X1) ) )
& aSet0(X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSImg) ).
fof(f1959,plain,
( ~ spl96_167
| ~ spl96_82
| ~ spl96_144 ),
inference(avatar_split_clause,[],[f1870,f1827,f1473,f1956]) ).
fof(f1956,plain,
( spl96_167
<=> sP23(xc) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_167])]) ).
fof(f1870,plain,
( ~ sP23(xc)
| ~ spl96_82
| ~ spl96_144 ),
inference(resolution,[],[f1828,f1475]) ).
fof(f1954,plain,
spl96_166,
inference(avatar_split_clause,[],[f878,f1952]) ).
fof(f878,plain,
! [X0,X1] :
( sP37(X1,X0)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f319]) ).
fof(f319,plain,
! [X0] :
( ! [X1] :
( sP37(X1,X0)
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(definition_folding,[],[f183,f318,f317]) ).
fof(f183,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( sdtexdt0(X0,X1) = X2
<=> ( ! [X3] :
( sdtlpdtrp0(X0,X3) = sdtlpdtrp0(X2,X3)
| ~ aElementOf0(X3,X1) )
& szDzozmdt0(X2) = X1
& aFunction0(X2) ) )
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f70]) ).
fof(f70,axiom,
! [X0] :
( aFunction0(X0)
=> ! [X1] :
( aSubsetOf0(X1,szDzozmdt0(X0))
=> ! [X2] :
( sdtexdt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X1)
=> sdtlpdtrp0(X0,X3) = sdtlpdtrp0(X2,X3) )
& szDzozmdt0(X2) = X1
& aFunction0(X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefRst) ).
fof(f1950,plain,
spl96_165,
inference(avatar_split_clause,[],[f845,f1948]) ).
fof(f845,plain,
! [X0] :
( aElementOf0(sK74(X0),sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ sP34(X0) ),
inference(cnf_transformation,[],[f475]) ).
fof(f475,plain,
! [X0] :
( ( sdtlpdtrp0(xe,sK74(X0)) = X0
& aElementOf0(sK74(X0),sdtlbdtrb0(xd,szDzizrdt0(xd)))
& szDzizrdt0(xd) = sdtlpdtrp0(xd,sK74(X0))
& aElementOf0(sK74(X0),szNzAzT0) )
| ~ sP34(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK74])],[f473,f474]) ).
fof(f474,plain,
! [X0] :
( ? [X1] :
( sdtlpdtrp0(xe,X1) = X0
& aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xd,X1) = szDzizrdt0(xd)
& aElementOf0(X1,szNzAzT0) )
=> ( sdtlpdtrp0(xe,sK74(X0)) = X0
& aElementOf0(sK74(X0),sdtlbdtrb0(xd,szDzizrdt0(xd)))
& szDzizrdt0(xd) = sdtlpdtrp0(xd,sK74(X0))
& aElementOf0(sK74(X0),szNzAzT0) ) ),
introduced(choice_axiom,[]) ).
fof(f473,plain,
! [X0] :
( ? [X1] :
( sdtlpdtrp0(xe,X1) = X0
& aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xd,X1) = szDzizrdt0(xd)
& aElementOf0(X1,szNzAzT0) )
| ~ sP34(X0) ),
inference(rectify,[],[f472]) ).
fof(f472,plain,
! [X0] :
( ? [X2] :
( sdtlpdtrp0(xe,X2) = X0
& aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& szDzizrdt0(xd) = sdtlpdtrp0(xd,X2)
& aElementOf0(X2,szNzAzT0) )
| ~ sP34(X0) ),
inference(nnf_transformation,[],[f313]) ).
fof(f1946,plain,
spl96_164,
inference(avatar_split_clause,[],[f844,f1944]) ).
fof(f1944,plain,
( spl96_164
<=> ! [X0] :
( szDzizrdt0(xd) = sdtlpdtrp0(xd,sK74(X0))
| ~ sP34(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_164])]) ).
fof(f844,plain,
! [X0] :
( szDzizrdt0(xd) = sdtlpdtrp0(xd,sK74(X0))
| ~ sP34(X0) ),
inference(cnf_transformation,[],[f475]) ).
fof(f1942,plain,
spl96_163,
inference(avatar_split_clause,[],[f832,f1940]) ).
fof(f1940,plain,
( spl96_163
<=> ! [X0,X1] :
( sP32(X1,X0,sK71(X0,X1))
| ~ sP33(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_163])]) ).
fof(f832,plain,
! [X0,X1] :
( sP32(X1,X0,sK71(X0,X1))
| ~ sP33(X0,X1) ),
inference(cnf_transformation,[],[f462]) ).
fof(f1938,plain,
spl96_162,
inference(avatar_split_clause,[],[f787,f1936]) ).
fof(f1936,plain,
( spl96_162
<=> ! [X0,X3,X2,X1] :
( ~ aElementOf0(X1,szDzozmdt0(X0))
| ~ sP17(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_162])]) ).
fof(f787,plain,
! [X2,X3,X0,X1] :
( ~ aElementOf0(X1,szDzozmdt0(X0))
| ~ sP17(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f434]) ).
fof(f1934,plain,
spl96_161,
inference(avatar_split_clause,[],[f786,f1932]) ).
fof(f1932,plain,
( spl96_161
<=> ! [X2,X0,X1,X3] :
( sbrdtbr0(X1) = X2
| ~ sP17(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_161])]) ).
fof(f786,plain,
! [X2,X3,X0,X1] :
( sbrdtbr0(X1) = X2
| ~ sP17(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f434]) ).
fof(f1930,plain,
spl96_160,
inference(avatar_split_clause,[],[f774,f1928]) ).
fof(f774,plain,
! [X0] :
( aElementOf0(sK62(X0),sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ sP20(X0) ),
inference(cnf_transformation,[],[f423]) ).
fof(f423,plain,
! [X0] :
( ( ~ aElementOf0(sK62(X0),xT)
& aElementOf0(sK62(X0),sdtlcdtrc0(X0,szDzozmdt0(X0))) )
| ~ sP20(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK62])],[f421,f422]) ).
fof(f422,plain,
! [X0] :
( ? [X1] :
( ~ aElementOf0(X1,xT)
& aElementOf0(X1,sdtlcdtrc0(X0,szDzozmdt0(X0))) )
=> ( ~ aElementOf0(sK62(X0),xT)
& aElementOf0(sK62(X0),sdtlcdtrc0(X0,szDzozmdt0(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f421,plain,
! [X0] :
( ? [X1] :
( ~ aElementOf0(X1,xT)
& aElementOf0(X1,sdtlcdtrc0(X0,szDzozmdt0(X0))) )
| ~ sP20(X0) ),
inference(rectify,[],[f420]) ).
fof(f420,plain,
! [X3] :
( ? [X6] :
( ~ aElementOf0(X6,xT)
& aElementOf0(X6,sdtlcdtrc0(X3,szDzozmdt0(X3))) )
| ~ sP20(X3) ),
inference(nnf_transformation,[],[f295]) ).
fof(f1925,plain,
spl96_159,
inference(avatar_split_clause,[],[f1070,f1923]) ).
fof(f1070,plain,
! [X1] :
( ~ aElementOf0(X1,sdtlcdtrc0(xd,szNzAzT0))
| aElementOf0(sK55(X1),szNzAzT0) ),
inference(forward_demodulation,[],[f1069,f636]) ).
fof(f1069,plain,
! [X1] :
( aElementOf0(sK55(X1),szNzAzT0)
| ~ aElementOf0(X1,sdtlcdtrc0(xd,szDzozmdt0(xd))) ),
inference(forward_demodulation,[],[f699,f636]) ).
fof(f699,plain,
! [X1] :
( aElementOf0(sK55(X1),szDzozmdt0(xd))
| ~ aElementOf0(X1,sdtlcdtrc0(xd,szDzozmdt0(xd))) ),
inference(cnf_transformation,[],[f386]) ).
fof(f1921,plain,
spl96_158,
inference(avatar_split_clause,[],[f1061,f1919]) ).
fof(f1061,plain,
! [X3] :
( aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X3,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(forward_demodulation,[],[f672,f636]) ).
fof(f672,plain,
! [X3] :
( aElementOf0(X3,szDzozmdt0(xd))
| ~ aElementOf0(X3,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(cnf_transformation,[],[f380]) ).
fof(f1917,plain,
spl96_157,
inference(avatar_split_clause,[],[f676,f1915]) ).
fof(f1915,plain,
( spl96_157
<=> ! [X0] :
( sdtlpdtrp0(xe,sK54(X0)) = X0
| ~ aElementOf0(X0,xO) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_157])]) ).
fof(f676,plain,
! [X0] :
( sdtlpdtrp0(xe,sK54(X0)) = X0
| ~ aElementOf0(X0,xO) ),
inference(cnf_transformation,[],[f380]) ).
fof(f1913,plain,
spl96_156,
inference(avatar_split_clause,[],[f589,f1911]) ).
fof(f589,plain,
! [X0] :
( aElementOf0(X0,xT)
| ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
inference(cnf_transformation,[],[f340]) ).
fof(f1893,plain,
( ~ spl96_6
| ~ spl96_155
| spl96_19
| ~ spl96_149 ),
inference(avatar_split_clause,[],[f1877,f1847,f1165,f1890,f1101]) ).
fof(f1877,plain,
( ~ isFinite0(xP)
| ~ aSet0(xP)
| spl96_19
| ~ spl96_149 ),
inference(resolution,[],[f1848,f1167]) ).
fof(f1869,plain,
spl96_154,
inference(avatar_split_clause,[],[f1059,f1867]) ).
fof(f1059,plain,
! [X1] :
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(duplicate_literal_removal,[],[f1058]) ).
fof(f1058,plain,
! [X1] :
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(equality_resolution,[],[f1012]) ).
fof(f1012,plain,
! [X0,X1] :
( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
| X0 != X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f565]) ).
fof(f1865,plain,
spl96_153,
inference(avatar_split_clause,[],[f1055,f1863]) ).
fof(f1863,plain,
( spl96_153
<=> ! [X0,X1] :
( aSet0(sdtmndt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_153])]) ).
fof(f1055,plain,
! [X0,X1] :
( aSet0(sdtmndt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f983]) ).
fof(f983,plain,
! [X2,X0,X1] :
( aSet0(X2)
| sdtmndt0(X0,X1) != X2
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f551]) ).
fof(f1861,plain,
spl96_152,
inference(avatar_split_clause,[],[f1052,f1859]) ).
fof(f1859,plain,
( spl96_152
<=> ! [X0,X1] :
( aSet0(sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_152])]) ).
fof(f1052,plain,
! [X0,X1] :
( aSet0(sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f972]) ).
fof(f972,plain,
! [X2,X0,X1] :
( aSet0(X2)
| sdtpldt0(X0,X1) != X2
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f544]) ).
fof(f1857,plain,
spl96_151,
inference(avatar_split_clause,[],[f1001,f1855]) ).
fof(f1001,plain,
! [X0,X1] :
( sP47(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f335]) ).
fof(f335,plain,
! [X0,X1] :
( sP47(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(definition_folding,[],[f252,f334,f333]) ).
fof(f252,plain,
! [X0,X1] :
( ! [X2] :
( slbdtsldtrb0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) ) )
& aSet0(X2) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(flattening,[],[f251]) ).
fof(f251,plain,
! [X0,X1] :
( ! [X2] :
( slbdtsldtrb0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) ) )
& aSet0(X2) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aSet0(X0) )
=> ! [X2] :
( slbdtsldtrb0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSel) ).
fof(f1853,plain,
spl96_150,
inference(avatar_split_clause,[],[f916,f1851]) ).
fof(f916,plain,
! [X0] :
( sbrdtbr0(slbdtrb0(X0)) = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f207]) ).
fof(f207,plain,
! [X0] :
( sbrdtbr0(slbdtrb0(X0)) = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f56]) ).
fof(f56,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sbrdtbr0(slbdtrb0(X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardSeg) ).
fof(f1849,plain,
spl96_149,
inference(avatar_split_clause,[],[f900,f1847]) ).
fof(f900,plain,
! [X0] :
( aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f501]) ).
fof(f501,plain,
! [X0] :
( ( ( aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ isFinite0(X0) )
& ( isFinite0(X0)
| ~ aElementOf0(sbrdtbr0(X0),szNzAzT0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f192]) ).
fof(f192,plain,
! [X0] :
( ( aElementOf0(sbrdtbr0(X0),szNzAzT0)
<=> isFinite0(X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X0] :
( aSet0(X0)
=> ( aElementOf0(sbrdtbr0(X0),szNzAzT0)
<=> isFinite0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardNum) ).
fof(f1845,plain,
spl96_148,
inference(avatar_split_clause,[],[f899,f1843]) ).
fof(f899,plain,
! [X0] :
( isFinite0(X0)
| ~ aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f501]) ).
fof(f1841,plain,
spl96_147,
inference(avatar_split_clause,[],[f874,f1839]) ).
fof(f874,plain,
! [X2,X0,X1] :
( szDzozmdt0(X0) = X2
| ~ sP36(X0,X1,X2) ),
inference(cnf_transformation,[],[f488]) ).
fof(f1837,plain,
spl96_146,
inference(avatar_split_clause,[],[f846,f1835]) ).
fof(f1835,plain,
( spl96_146
<=> ! [X0] :
( sdtlpdtrp0(xe,sK74(X0)) = X0
| ~ sP34(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_146])]) ).
fof(f846,plain,
! [X0] :
( sdtlpdtrp0(xe,sK74(X0)) = X0
| ~ sP34(X0) ),
inference(cnf_transformation,[],[f475]) ).
fof(f1833,plain,
spl96_145,
inference(avatar_split_clause,[],[f785,f1831]) ).
fof(f1831,plain,
( spl96_145
<=> ! [X2,X0,X1,X3] :
( aSubsetOf0(X1,X3)
| ~ sP17(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_145])]) ).
fof(f785,plain,
! [X2,X3,X0,X1] :
( aSubsetOf0(X1,X3)
| ~ sP17(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f434]) ).
fof(f1829,plain,
spl96_144,
inference(avatar_split_clause,[],[f764,f1827]) ).
fof(f764,plain,
! [X0] :
( ~ aSubsetOf0(sdtlcdtrc0(X0,szDzozmdt0(X0)),xT)
| ~ sP23(X0) ),
inference(cnf_transformation,[],[f411]) ).
fof(f411,plain,
! [X0] :
( ( ~ aSubsetOf0(sdtlcdtrc0(X0,szDzozmdt0(X0)),xT)
& sP20(X0)
& sP19(X0)
& aSet0(sdtlcdtrc0(X0,szDzozmdt0(X0))) )
| ~ sP23(X0) ),
inference(rectify,[],[f410]) ).
fof(f410,plain,
! [X3] :
( ( ~ aSubsetOf0(sdtlcdtrc0(X3,szDzozmdt0(X3)),xT)
& sP20(X3)
& sP19(X3)
& aSet0(sdtlcdtrc0(X3,szDzozmdt0(X3))) )
| ~ sP23(X3) ),
inference(nnf_transformation,[],[f298]) ).
fof(f1822,plain,
spl96_143,
inference(avatar_split_clause,[],[f1065,f1820]) ).
fof(f1065,plain,
! [X0] :
( ~ aElementOf0(X0,sdtlcdtrc0(xd,szNzAzT0))
| aElementOf0(X0,xT) ),
inference(forward_demodulation,[],[f702,f636]) ).
fof(f702,plain,
! [X0] :
( aElementOf0(X0,xT)
| ~ aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd))) ),
inference(cnf_transformation,[],[f386]) ).
fof(f1818,plain,
spl96_142,
inference(avatar_split_clause,[],[f722,f1816]) ).
fof(f722,plain,
! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f155]) ).
fof(f1814,plain,
spl96_141,
inference(avatar_split_clause,[],[f678,f1811]) ).
fof(f1811,plain,
( spl96_141
<=> xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_141])]) ).
fof(f678,plain,
xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))),
inference(cnf_transformation,[],[f380]) ).
fof(f1809,plain,
spl96_140,
inference(avatar_split_clause,[],[f580,f1807]) ).
fof(f1807,plain,
( spl96_140
<=> ! [X4] :
( xK = sbrdtbr0(X4)
| ~ aElementOf0(X4,szDzozmdt0(xc)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_140])]) ).
fof(f580,plain,
! [X4] :
( xK = sbrdtbr0(X4)
| ~ aElementOf0(X4,szDzozmdt0(xc)) ),
inference(cnf_transformation,[],[f340]) ).
fof(f1760,plain,
spl96_139,
inference(avatar_split_clause,[],[f1053,f1758]) ).
fof(f1053,plain,
! [X2,X1,X4] :
( ~ aElementOf0(X4,X2)
| ~ sP45(X4,X1,X2) ),
inference(equality_resolution,[],[f977]) ).
fof(f977,plain,
! [X2,X0,X1,X4] :
( X0 != X4
| ~ aElementOf0(X4,X2)
| ~ sP45(X0,X1,X2) ),
inference(cnf_transformation,[],[f549]) ).
fof(f1756,plain,
spl96_138,
inference(avatar_split_clause,[],[f963,f1754]) ).
fof(f1754,plain,
( spl96_138
<=> ! [X0,X1] :
( sP43(X0,X1)
| ~ aElement0(X1)
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_138])]) ).
fof(f963,plain,
! [X0,X1] :
( sP43(X0,X1)
| ~ aElement0(X1)
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f328]) ).
fof(f328,plain,
! [X0,X1] :
( sP43(X0,X1)
| ~ aElement0(X1)
| ~ aFunction0(X0) ),
inference(definition_folding,[],[f240,f327,f326]) ).
fof(f240,plain,
! [X0,X1] :
( ! [X2] :
( sdtlbdtrb0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) ) )
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aFunction0(X0) ),
inference(flattening,[],[f239]) ).
fof(f239,plain,
! [X0,X1] :
( ! [X2] :
( sdtlbdtrb0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) ) )
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f66]) ).
fof(f66,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aFunction0(X0) )
=> ! [X2] :
( sdtlbdtrb0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefPtt) ).
fof(f1752,plain,
spl96_137,
inference(avatar_split_clause,[],[f918,f1750]) ).
fof(f1750,plain,
( spl96_137
<=> ! [X0] :
( sz00 != szszuzczcdt0(X0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_137])]) ).
fof(f918,plain,
! [X0] :
( sz00 != szszuzczcdt0(X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f208]) ).
fof(f208,plain,
! [X0] :
( ( sz00 != szszuzczcdt0(X0)
& aElementOf0(szszuzczcdt0(X0),szNzAzT0) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( sz00 != szszuzczcdt0(X0)
& aElementOf0(szszuzczcdt0(X0),szNzAzT0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccNum) ).
fof(f1748,plain,
spl96_136,
inference(avatar_split_clause,[],[f917,f1746]) ).
fof(f917,plain,
! [X0] :
( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f208]) ).
fof(f1744,plain,
spl96_135,
inference(avatar_split_clause,[],[f915,f1742]) ).
fof(f915,plain,
! [X0] :
( sdtlseqdt0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f206]) ).
fof(f206,plain,
! [X0] :
( sdtlseqdt0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sdtlseqdt0(X0,szszuzczcdt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessSucc) ).
fof(f1740,plain,
spl96_134,
inference(avatar_split_clause,[],[f914,f1738]) ).
fof(f914,plain,
! [X0] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f205]) ).
fof(f205,plain,
! [X0] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> iLess0(X0,szszuzczcdt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIH) ).
fof(f1736,plain,
spl96_133,
inference(avatar_split_clause,[],[f913,f1734]) ).
fof(f913,plain,
! [X0] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),sz00)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f204]) ).
fof(f204,plain,
! [X0] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),sz00)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ~ sdtlseqdt0(szszuzczcdt0(X0),sz00) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNoScLessZr) ).
fof(f1732,plain,
spl96_132,
inference(avatar_split_clause,[],[f912,f1730]) ).
fof(f1730,plain,
( spl96_132
<=> ! [X0] :
( szszuzczcdt0(X0) != X0
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_132])]) ).
fof(f912,plain,
! [X0] :
( szszuzczcdt0(X0) != X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f203]) ).
fof(f203,plain,
! [X0] :
( szszuzczcdt0(X0) != X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> szszuzczcdt0(X0) != X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNatNSucc) ).
fof(f1728,plain,
spl96_131,
inference(avatar_split_clause,[],[f905,f1726]) ).
fof(f1726,plain,
( spl96_131
<=> ! [X0,X1] :
( aSet0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_131])]) ).
fof(f905,plain,
! [X0,X1] :
( aSet0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f506]) ).
fof(f1724,plain,
spl96_130,
inference(avatar_split_clause,[],[f901,f1722]) ).
fof(f901,plain,
! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f193]) ).
fof(f193,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
fof(f1720,plain,
spl96_129,
inference(avatar_split_clause,[],[f831,f1718]) ).
fof(f1718,plain,
( spl96_129
<=> ! [X0,X1] :
( isCountable0(sK71(X0,X1))
| ~ sP33(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_129])]) ).
fof(f831,plain,
! [X0,X1] :
( isCountable0(sK71(X0,X1))
| ~ sP33(X0,X1) ),
inference(cnf_transformation,[],[f462]) ).
fof(f1716,plain,
spl96_128,
inference(avatar_split_clause,[],[f828,f1714]) ).
fof(f1714,plain,
( spl96_128
<=> ! [X0,X1] :
( aSet0(sK71(X0,X1))
| ~ sP33(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_128])]) ).
fof(f828,plain,
! [X0,X1] :
( aSet0(sK71(X0,X1))
| ~ sP33(X0,X1) ),
inference(cnf_transformation,[],[f462]) ).
fof(f1712,plain,
spl96_127,
inference(avatar_split_clause,[],[f783,f1710]) ).
fof(f1710,plain,
( spl96_127
<=> ! [X2,X0,X1,X3] :
( aSet0(X1)
| ~ sP17(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_127])]) ).
fof(f783,plain,
! [X2,X3,X0,X1] :
( aSet0(X1)
| ~ sP17(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f434]) ).
fof(f1708,plain,
spl96_126,
inference(avatar_split_clause,[],[f761,f1706]) ).
fof(f761,plain,
! [X0] :
( aSet0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ sP23(X0) ),
inference(cnf_transformation,[],[f411]) ).
fof(f1704,plain,
spl96_125,
inference(avatar_split_clause,[],[f648,f1702]) ).
fof(f1702,plain,
( spl96_125
<=> ! [X0] :
( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ sP10(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_125])]) ).
fof(f648,plain,
! [X0] :
( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ sP10(X0) ),
inference(cnf_transformation,[],[f368]) ).
fof(f1700,plain,
spl96_124,
inference(avatar_split_clause,[],[f645,f1698]) ).
fof(f645,plain,
! [X0] :
( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ sP10(X0) ),
inference(cnf_transformation,[],[f368]) ).
fof(f1695,plain,
( spl96_123
| ~ spl96_26
| ~ spl96_78 ),
inference(avatar_split_clause,[],[f1462,f1447,f1201,f1692]) ).
fof(f1692,plain,
( spl96_123
<=> sP41(xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_123])]) ).
fof(f1462,plain,
( sP41(xk)
| ~ spl96_26
| ~ spl96_78 ),
inference(resolution,[],[f1448,f1203]) ).
fof(f1686,plain,
spl96_122,
inference(avatar_split_clause,[],[f842,f1684]) ).
fof(f842,plain,
! [X0] :
( sP33(X0,sK73(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f471]) ).
fof(f471,plain,
! [X0] :
( ( sP33(X0,sK73(X0))
& aElementOf0(sK73(X0),xT) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK73])],[f312,f470]) ).
fof(f470,plain,
! [X0] :
( ? [X1] :
( sP33(X0,X1)
& aElementOf0(X1,xT) )
=> ( sP33(X0,sK73(X0))
& aElementOf0(sK73(X0),xT) ) ),
introduced(choice_axiom,[]) ).
fof(f312,plain,
! [X0] :
( ? [X1] :
( sP33(X0,X1)
& aElementOf0(X1,xT) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(definition_folding,[],[f166,f311,f310,f309]) ).
fof(f166,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ! [X3] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X3) = X1
| ( ~ aElementOf0(X3,slbdtsldtrb0(X2,xk))
& ( sbrdtbr0(X3) != xk
| ( ~ aSubsetOf0(X3,X2)
& ? [X4] :
( ~ aElementOf0(X4,X2)
& aElementOf0(X4,X3) ) ) ) )
| ~ aSet0(X3) )
& isCountable0(X2)
& aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X5] :
( aElementOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X5,X2) )
& aSet0(X2)
& ! [X6] :
( aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X6
& aElementOf0(X6,sdtlpdtrp0(xN,X0))
& aElement0(X6) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X7] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X7)
| ~ aElementOf0(X7,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
& aElementOf0(X1,xT) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f165]) ).
fof(f165,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ! [X3] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X3) = X1
| ( ~ aElementOf0(X3,slbdtsldtrb0(X2,xk))
& ( sbrdtbr0(X3) != xk
| ( ~ aSubsetOf0(X3,X2)
& ? [X4] :
( ~ aElementOf0(X4,X2)
& aElementOf0(X4,X3) ) ) ) )
| ~ aSet0(X3) )
& isCountable0(X2)
& aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X5] :
( aElementOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X5,X2) )
& aSet0(X2)
& ! [X6] :
( aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X6
& aElementOf0(X6,sdtlpdtrp0(xN,X0))
& aElement0(X6) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X7] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X7)
| ~ aElementOf0(X7,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
& aElementOf0(X1,xT) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ? [X1] :
( ? [X2] :
( ! [X3] :
( ( ( aElementOf0(X3,slbdtsldtrb0(X2,xk))
| ( sbrdtbr0(X3) = xk
& ( aSubsetOf0(X3,X2)
| ! [X4] :
( aElementOf0(X4,X3)
=> aElementOf0(X4,X2) ) ) ) )
& aSet0(X3) )
=> sdtlpdtrp0(sdtlpdtrp0(xC,X0),X3) = X1 )
& isCountable0(X2)
& aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X5] :
( aElementOf0(X5,X2)
=> aElementOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSet0(X2)
& ! [X6] :
( aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X6
& aElementOf0(X6,sdtlpdtrp0(xN,X0))
& aElement0(X6) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X7] :
( aElementOf0(X7,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X7) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
& aElementOf0(X1,xT) ) ),
inference(rectify,[],[f89]) ).
fof(f89,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ? [X1] :
( ? [X2] :
( ! [X3] :
( ( ( aElementOf0(X3,slbdtsldtrb0(X2,xk))
| ( sbrdtbr0(X3) = xk
& ( aSubsetOf0(X3,X2)
| ! [X4] :
( aElementOf0(X4,X3)
=> aElementOf0(X4,X2) ) ) ) )
& aSet0(X3) )
=> sdtlpdtrp0(sdtlpdtrp0(xC,X0),X3) = X1 )
& isCountable0(X2)
& aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSet0(X2)
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X3) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
& aElementOf0(X1,xT) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4411) ).
fof(f1682,plain,
spl96_121,
inference(avatar_split_clause,[],[f841,f1680]) ).
fof(f841,plain,
! [X0] :
( aElementOf0(sK73(X0),xT)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f471]) ).
fof(f1678,plain,
spl96_120,
inference(avatar_split_clause,[],[f823,f1676]) ).
fof(f1676,plain,
( spl96_120
<=> ! [X0] :
( sP30(sK70(X0),X0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_120])]) ).
fof(f823,plain,
! [X0] :
( sP30(sK70(X0),X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f458]) ).
fof(f458,plain,
! [X0] :
( ( sP30(sK70(X0),X0)
& aElementOf0(sK70(X0),xT) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK70])],[f308,f457]) ).
fof(f457,plain,
! [X0] :
( ? [X1] :
( sP30(X1,X0)
& aElementOf0(X1,xT) )
=> ( sP30(sK70(X0),X0)
& aElementOf0(sK70(X0),xT) ) ),
introduced(choice_axiom,[]) ).
fof(f308,plain,
! [X0] :
( ? [X1] :
( sP30(X1,X0)
& aElementOf0(X1,xT) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(definition_folding,[],[f164,f307]) ).
fof(f164,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) = X1
| ( ~ aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
& ( sbrdtbr0(X2) != xk
| ( ~ aSubsetOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ? [X3] :
( ~ aElementOf0(X3,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aElementOf0(X3,X2) ) ) ) )
| ~ aSet0(X2) )
& aElementOf0(X1,xT) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f163]) ).
fof(f163,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) = X1
| ( ~ aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
& ( sbrdtbr0(X2) != xk
| ( ~ aSubsetOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ? [X3] :
( ~ aElementOf0(X3,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aElementOf0(X3,X2) ) ) ) )
| ~ aSet0(X2) )
& aElementOf0(X1,xT) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f90]) ).
fof(f90,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ? [X1] :
( ! [X2] :
( ( ( aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
| ( sbrdtbr0(X2) = xk
& ( aSubsetOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtlpdtrp0(xN,szszuzczcdt0(X0))) ) ) ) )
& aSet0(X2) )
=> sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) = X1 )
& aElementOf0(X1,xT) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4618) ).
fof(f1674,plain,
spl96_119,
inference(avatar_split_clause,[],[f822,f1672]) ).
fof(f822,plain,
! [X0] :
( aElementOf0(sK70(X0),xT)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f458]) ).
fof(f1670,plain,
spl96_118,
inference(avatar_split_clause,[],[f723,f1668]) ).
fof(f723,plain,
! [X0] :
( isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f155]) ).
fof(f1666,plain,
spl96_117,
inference(avatar_split_clause,[],[f720,f1664]) ).
fof(f720,plain,
! [X0] :
( aSet0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f155]) ).
fof(f1662,plain,
( spl96_116
| ~ spl96_23
| ~ spl96_78 ),
inference(avatar_split_clause,[],[f1461,f1447,f1186,f1659]) ).
fof(f1659,plain,
( spl96_116
<=> sP41(xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_116])]) ).
fof(f1461,plain,
( sP41(xK)
| ~ spl96_23
| ~ spl96_78 ),
inference(resolution,[],[f1448,f1188]) ).
fof(f1656,plain,
spl96_115,
inference(avatar_split_clause,[],[f660,f1654]) ).
fof(f1654,plain,
( spl96_115
<=> ! [X1] :
( sdtlseqdt0(szmzizndt0(xQ),X1)
| ~ aElementOf0(X1,xQ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_115])]) ).
fof(f660,plain,
! [X1] :
( sdtlseqdt0(szmzizndt0(xQ),X1)
| ~ aElementOf0(X1,xQ) ),
inference(cnf_transformation,[],[f375]) ).
fof(f1652,plain,
spl96_114,
inference(avatar_split_clause,[],[f579,f1650]) ).
fof(f1650,plain,
( spl96_114
<=> ! [X4] :
( aSubsetOf0(X4,xS)
| ~ aElementOf0(X4,szDzozmdt0(xc)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_114])]) ).
fof(f579,plain,
! [X4] :
( aSubsetOf0(X4,xS)
| ~ aElementOf0(X4,szDzozmdt0(xc)) ),
inference(cnf_transformation,[],[f340]) ).
fof(f1624,plain,
spl96_113,
inference(avatar_split_clause,[],[f1040,f1622]) ).
fof(f1040,plain,
! [X0] :
( sP40(X0,slbdtrb0(X0))
| ~ sP41(X0) ),
inference(equality_resolution,[],[f921]) ).
fof(f921,plain,
! [X0,X1] :
( sP40(X0,X1)
| slbdtrb0(X0) != X1
| ~ sP41(X0) ),
inference(cnf_transformation,[],[f509]) ).
fof(f1616,plain,
( ~ spl96_17
| spl96_112 ),
inference(avatar_split_clause,[],[f1039,f1613,f1156]) ).
fof(f1039,plain,
( sz00 = sbrdtbr0(slcrc0)
| ~ aSet0(slcrc0) ),
inference(equality_resolution,[],[f898]) ).
fof(f898,plain,
! [X0] :
( sz00 = sbrdtbr0(X0)
| slcrc0 != X0
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f500]) ).
fof(f1611,plain,
spl96_111,
inference(avatar_split_clause,[],[f994,f1609]) ).
fof(f994,plain,
! [X2,X0,X1] :
( aSet0(X2)
| ~ sP46(X0,X1,X2) ),
inference(cnf_transformation,[],[f561]) ).
fof(f1607,plain,
spl96_110,
inference(avatar_split_clause,[],[f956,f1605]) ).
fof(f956,plain,
! [X2,X0,X1] :
( aSet0(X2)
| ~ sP42(X0,X1,X2) ),
inference(cnf_transformation,[],[f537]) ).
fof(f1603,plain,
spl96_109,
inference(avatar_split_clause,[],[f936,f1601]) ).
fof(f936,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f223]) ).
fof(f223,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f222]) ).
fof(f222,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( ( isCountable0(X0)
& aSet0(X0) )
=> ~ isFinite0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCountNFin) ).
fof(f1599,plain,
spl96_108,
inference(avatar_split_clause,[],[f911,f1597]) ).
fof(f911,plain,
! [X0] :
( sdtlseqdt0(sz00,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f202]) ).
fof(f202,plain,
! [X0] :
( sdtlseqdt0(sz00,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sdtlseqdt0(sz00,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroLess) ).
fof(f1595,plain,
spl96_107,
inference(avatar_split_clause,[],[f910,f1593]) ).
fof(f910,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f201]) ).
fof(f201,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessRefl) ).
fof(f1591,plain,
spl96_106,
inference(avatar_split_clause,[],[f909,f1589]) ).
fof(f909,plain,
! [X0] :
( isFinite0(slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f200]) ).
fof(f200,plain,
! [X0] :
( isFinite0(slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> isFinite0(slbdtrb0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSegFin) ).
fof(f1587,plain,
spl96_105,
inference(avatar_split_clause,[],[f881,f1585]) ).
fof(f881,plain,
! [X2,X0,X1] :
( aSet0(X2)
| ~ sP38(X0,X1,X2) ),
inference(cnf_transformation,[],[f497]) ).
fof(f1583,plain,
spl96_104,
inference(avatar_split_clause,[],[f873,f1581]) ).
fof(f873,plain,
! [X2,X0,X1] :
( aFunction0(X0)
| ~ sP36(X0,X1,X2) ),
inference(cnf_transformation,[],[f488]) ).
fof(f1579,plain,
spl96_103,
inference(avatar_split_clause,[],[f843,f1577]) ).
fof(f843,plain,
! [X0] :
( aElementOf0(sK74(X0),szNzAzT0)
| ~ sP34(X0) ),
inference(cnf_transformation,[],[f475]) ).
fof(f1575,plain,
( spl96_102
| ~ spl96_26
| ~ spl96_62 ),
inference(avatar_split_clause,[],[f1400,f1373,f1201,f1572]) ).
fof(f1572,plain,
( spl96_102
<=> sP11(xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_102])]) ).
fof(f1400,plain,
( sP11(xk)
| ~ spl96_26
| ~ spl96_62 ),
inference(resolution,[],[f1374,f1203]) ).
fof(f1570,plain,
spl96_101,
inference(avatar_split_clause,[],[f795,f1568]) ).
fof(f1568,plain,
( spl96_101
<=> ! [X0,X1] :
( sP26(X0,X1)
| ~ sP29(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_101])]) ).
fof(f795,plain,
! [X0,X1] :
( sP26(X0,X1)
| ~ sP29(X0,X1) ),
inference(cnf_transformation,[],[f437]) ).
fof(f1566,plain,
spl96_100,
inference(avatar_split_clause,[],[f775,f1564]) ).
fof(f1564,plain,
( spl96_100
<=> ! [X0] :
( ~ aElementOf0(sK62(X0),xT)
| ~ sP20(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_100])]) ).
fof(f775,plain,
! [X0] :
( ~ aElementOf0(sK62(X0),xT)
| ~ sP20(X0) ),
inference(cnf_transformation,[],[f423]) ).
fof(f1562,plain,
spl96_99,
inference(avatar_split_clause,[],[f743,f1560]) ).
fof(f1560,plain,
( spl96_99
<=> ! [X0,X1] :
( sP13(X1,X0)
| ~ sP15(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_99])]) ).
fof(f743,plain,
! [X0,X1] :
( sP13(X1,X0)
| ~ sP15(X0,X1) ),
inference(cnf_transformation,[],[f395]) ).
fof(f1558,plain,
spl96_98,
inference(avatar_split_clause,[],[f734,f1556]) ).
fof(f1556,plain,
( spl96_98
<=> ! [X0,X1] :
( sP14(X0,X1)
| ~ sP16(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_98])]) ).
fof(f734,plain,
! [X0,X1] :
( sP14(X0,X1)
| ~ sP16(X0,X1) ),
inference(cnf_transformation,[],[f394]) ).
fof(f1554,plain,
spl96_97,
inference(avatar_split_clause,[],[f615,f1552]) ).
fof(f615,plain,
! [X0,X1] :
( sP2(X1,X0)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f352]) ).
fof(f1550,plain,
spl96_96,
inference(avatar_split_clause,[],[f591,f1548]) ).
fof(f1548,plain,
( spl96_96
<=> ! [X0] :
( aFunction0(sdtlpdtrp0(xC,X0))
| ~ sP8(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_96])]) ).
fof(f591,plain,
! [X0] :
( aFunction0(sdtlpdtrp0(xC,X0))
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f342]) ).
fof(f1542,plain,
( spl96_95
| ~ spl96_23
| ~ spl96_62 ),
inference(avatar_split_clause,[],[f1399,f1373,f1186,f1539]) ).
fof(f1539,plain,
( spl96_95
<=> sP11(xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_95])]) ).
fof(f1399,plain,
( sP11(xK)
| ~ spl96_23
| ~ spl96_62 ),
inference(resolution,[],[f1374,f1188]) ).
fof(f1532,plain,
spl96_94,
inference(avatar_split_clause,[],[f857,f1529]) ).
fof(f857,plain,
aElementOf0(sK76,sdtlbdtrb0(xd,szDzizrdt0(xd))),
inference(cnf_transformation,[],[f481]) ).
fof(f481,plain,
( xp = sdtlpdtrp0(xe,sK76)
& aElementOf0(sK76,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK76])],[f106,f480]) ).
fof(f480,plain,
( ? [X0] :
( sdtlpdtrp0(xe,X0) = xp
& aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
=> ( xp = sdtlpdtrp0(xe,sK76)
& aElementOf0(sK76,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ),
introduced(choice_axiom,[]) ).
fof(f106,axiom,
? [X0] :
( sdtlpdtrp0(xe,X0) = xp
& aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5182) ).
fof(f1527,plain,
spl96_93,
inference(avatar_split_clause,[],[f718,f1525]) ).
fof(f718,plain,
! [X0] :
( aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,xQ) ),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
( aSubsetOf0(xQ,szNzAzT0)
& ! [X0] :
( aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,xQ) ) ),
inference(ennf_transformation,[],[f101]) ).
fof(f101,axiom,
( aSubsetOf0(xQ,szNzAzT0)
& ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,szNzAzT0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5106) ).
fof(f1523,plain,
( spl96_92
| ~ spl96_34
| ~ spl96_62 ),
inference(avatar_split_clause,[],[f1398,f1373,f1241,f1520]) ).
fof(f1520,plain,
( spl96_92
<=> sP11(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_92])]) ).
fof(f1398,plain,
( sP11(sz00)
| ~ spl96_34
| ~ spl96_62 ),
inference(resolution,[],[f1374,f1243]) ).
fof(f1518,plain,
spl96_91,
inference(avatar_split_clause,[],[f715,f1516]) ).
fof(f715,plain,
! [X0] :
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,xQ) ),
inference(cnf_transformation,[],[f153]) ).
fof(f153,plain,
( aElementOf0(xQ,szDzozmdt0(xc))
& aSubsetOf0(xQ,xS)
& ! [X0] :
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,xQ) )
& aSubsetOf0(xQ,xS)
& ! [X1] :
( aElementOf0(X1,xS)
| ~ aElementOf0(X1,xQ) ) ),
inference(ennf_transformation,[],[f118]) ).
fof(f118,plain,
( aElementOf0(xQ,szDzozmdt0(xc))
& aSubsetOf0(xQ,xS)
& ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,xS) )
& aSubsetOf0(xQ,xS)
& ! [X1] :
( aElementOf0(X1,xQ)
=> aElementOf0(X1,xS) ) ),
inference(rectify,[],[f102]) ).
fof(f102,axiom,
( aElementOf0(xQ,szDzozmdt0(xc))
& aSubsetOf0(xQ,xS)
& ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,xS) )
& aSubsetOf0(xQ,xS)
& ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,xS) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5116) ).
fof(f1514,plain,
spl96_90,
inference(avatar_split_clause,[],[f708,f1512]) ).
fof(f708,plain,
! [X0] :
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,xO) ),
inference(cnf_transformation,[],[f150]) ).
fof(f150,plain,
( aSubsetOf0(xO,xS)
& ! [X0] :
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,xO) ) ),
inference(ennf_transformation,[],[f98]) ).
fof(f98,axiom,
( aSubsetOf0(xO,xS)
& ! [X0] :
( aElementOf0(X0,xO)
=> aElementOf0(X0,xS) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4998) ).
fof(f1510,plain,
spl96_89,
inference(avatar_split_clause,[],[f704,f1508]) ).
fof(f704,plain,
! [X0] :
( aElementOf0(X0,xO)
| ~ aElementOf0(X0,xP) ),
inference(cnf_transformation,[],[f148]) ).
fof(f148,plain,
( aSubsetOf0(xP,xO)
& ! [X0] :
( aElementOf0(X0,xO)
| ~ aElementOf0(X0,xP) ) ),
inference(ennf_transformation,[],[f108]) ).
fof(f108,axiom,
( aSubsetOf0(xP,xO)
& ! [X0] :
( aElementOf0(X0,xP)
=> aElementOf0(X0,xO) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5208) ).
fof(f1506,plain,
spl96_88,
inference(avatar_split_clause,[],[f689,f1504]) ).
fof(f689,plain,
! [X0] :
( sdtlseqdt0(xp,X0)
| ~ aElementOf0(X0,xQ) ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
( xp = szmzizndt0(xQ)
& ! [X0] :
( sdtlseqdt0(xp,X0)
| ~ aElementOf0(X0,xQ) )
& aElementOf0(xp,xQ) ),
inference(ennf_transformation,[],[f103]) ).
fof(f103,axiom,
( xp = szmzizndt0(xQ)
& ! [X0] :
( aElementOf0(X0,xQ)
=> sdtlseqdt0(xp,X0) )
& aElementOf0(xp,xQ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5147) ).
fof(f1502,plain,
spl96_87,
inference(avatar_split_clause,[],[f684,f1500]) ).
fof(f684,plain,
! [X0] :
( aElementOf0(X0,xO)
| ~ aElementOf0(X0,xQ) ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
( aElementOf0(xQ,slbdtsldtrb0(xO,xK))
& xK = sbrdtbr0(xQ)
& aSubsetOf0(xQ,xO)
& ! [X0] :
( aElementOf0(X0,xO)
| ~ aElementOf0(X0,xQ) )
& aSet0(xQ) ),
inference(ennf_transformation,[],[f99]) ).
fof(f99,axiom,
( aElementOf0(xQ,slbdtsldtrb0(xO,xK))
& xK = sbrdtbr0(xQ)
& aSubsetOf0(xQ,xO)
& ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,xO) )
& aSet0(xQ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5078) ).
fof(f1498,plain,
spl96_86,
inference(avatar_split_clause,[],[f680,f1496]) ).
fof(f680,plain,
! [X0] :
( aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,xS) ),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
( isCountable0(xS)
& aSubsetOf0(xS,szNzAzT0)
& ! [X0] :
( aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,xS) )
& aSet0(xS) ),
inference(ennf_transformation,[],[f75]) ).
fof(f75,axiom,
( isCountable0(xS)
& aSubsetOf0(xS,szNzAzT0)
& ! [X0] :
( aElementOf0(X0,xS)
=> aElementOf0(X0,szNzAzT0) )
& aSet0(xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3435) ).
fof(f1494,plain,
( spl96_85
| ~ spl96_41
| ~ spl96_84 ),
inference(avatar_split_clause,[],[f1489,f1485,f1275,f1491]) ).
fof(f1485,plain,
( spl96_84
<=> xP = sdtmndt0(xQ,szmzizndt0(xQ)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_84])]) ).
fof(f1489,plain,
( xP = sdtmndt0(xQ,xp)
| ~ spl96_41
| ~ spl96_84 ),
inference(forward_demodulation,[],[f1487,f1277]) ).
fof(f1487,plain,
( xP = sdtmndt0(xQ,szmzizndt0(xQ))
| ~ spl96_84 ),
inference(avatar_component_clause,[],[f1485]) ).
fof(f1488,plain,
spl96_84,
inference(avatar_split_clause,[],[f665,f1485]) ).
fof(f665,plain,
xP = sdtmndt0(xQ,szmzizndt0(xQ)),
inference(cnf_transformation,[],[f375]) ).
fof(f1483,plain,
spl96_83,
inference(avatar_split_clause,[],[f662,f1481]) ).
fof(f662,plain,
! [X0] :
( aElementOf0(X0,xQ)
| ~ aElementOf0(X0,xP) ),
inference(cnf_transformation,[],[f375]) ).
fof(f1476,plain,
spl96_82,
inference(avatar_split_clause,[],[f590,f1473]) ).
fof(f590,plain,
aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT),
inference(cnf_transformation,[],[f340]) ).
fof(f1471,plain,
spl96_81,
inference(avatar_split_clause,[],[f584,f1468]) ).
fof(f1466,plain,
spl96_80,
inference(avatar_split_clause,[],[f577,f1464]) ).
fof(f577,plain,
! [X4] :
( aSet0(X4)
| ~ aElementOf0(X4,szDzozmdt0(xc)) ),
inference(cnf_transformation,[],[f340]) ).
fof(f1454,plain,
( spl96_79
| ~ spl96_26
| ~ spl96_57 ),
inference(avatar_split_clause,[],[f1392,f1350,f1201,f1451]) ).
fof(f1392,plain,
( sP8(xk)
| ~ spl96_26
| ~ spl96_57 ),
inference(resolution,[],[f1351,f1203]) ).
fof(f1449,plain,
spl96_78,
inference(avatar_split_clause,[],[f930,f1447]) ).
fof(f930,plain,
! [X0] :
( sP41(X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f325]) ).
fof(f325,plain,
! [X0] :
( sP41(X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(definition_folding,[],[f211,f324,f323]) ).
fof(f211,plain,
! [X0] :
( ! [X1] :
( slbdtrb0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) ) )
& aSet0(X1) ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( slbdtrb0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) ) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSeg) ).
fof(f1445,plain,
spl96_77,
inference(avatar_split_clause,[],[f923,f1443]) ).
fof(f923,plain,
! [X0,X1] :
( aSet0(X1)
| ~ sP40(X0,X1) ),
inference(cnf_transformation,[],[f514]) ).
fof(f1441,plain,
spl96_76,
inference(avatar_split_clause,[],[f896,f1439]) ).
fof(f896,plain,
! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f190]) ).
fof(f190,plain,
! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( aSet0(X0)
=> aSubsetOf0(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubRefl) ).
fof(f1437,plain,
spl96_75,
inference(avatar_split_clause,[],[f895,f1435]) ).
fof(f895,plain,
! [X0] :
( aElement0(sbrdtbr0(X0))
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f189]) ).
fof(f189,plain,
! [X0] :
( aElement0(sbrdtbr0(X0))
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,axiom,
! [X0] :
( aSet0(X0)
=> aElement0(sbrdtbr0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardS) ).
fof(f1433,plain,
spl96_74,
inference(avatar_split_clause,[],[f868,f1431]) ).
fof(f868,plain,
! [X0] :
( aSet0(szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f180]) ).
fof(f180,plain,
! [X0] :
( aSet0(szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f64]) ).
fof(f64,axiom,
! [X0] :
( aFunction0(X0)
=> aSet0(szDzozmdt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDomSet) ).
fof(f1429,plain,
spl96_73,
inference(avatar_split_clause,[],[f827,f1427]) ).
fof(f827,plain,
! [X0,X1] :
( sP31(X0)
| ~ sP33(X0,X1) ),
inference(cnf_transformation,[],[f462]) ).
fof(f1425,plain,
( spl96_72
| ~ spl96_23
| ~ spl96_57 ),
inference(avatar_split_clause,[],[f1391,f1350,f1186,f1422]) ).
fof(f1391,plain,
( sP8(xK)
| ~ spl96_23
| ~ spl96_57 ),
inference(resolution,[],[f1351,f1188]) ).
fof(f1420,plain,
spl96_71,
inference(avatar_split_clause,[],[f800,f1418]) ).
fof(f1418,plain,
( spl96_71
<=> ! [X0,X1] :
( sP27(X0)
| ~ sP28(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_71])]) ).
fof(f800,plain,
! [X0,X1] :
( sP27(X0)
| ~ sP28(X0,X1) ),
inference(cnf_transformation,[],[f439]) ).
fof(f1416,plain,
spl96_70,
inference(avatar_split_clause,[],[f794,f1414]) ).
fof(f1414,plain,
( spl96_70
<=> ! [X0,X1] :
( sP25(X0)
| ~ sP29(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_70])]) ).
fof(f794,plain,
! [X0,X1] :
( sP25(X0)
| ~ sP29(X0,X1) ),
inference(cnf_transformation,[],[f437]) ).
fof(f1412,plain,
spl96_69,
inference(avatar_split_clause,[],[f742,f1410]) ).
fof(f1410,plain,
( spl96_69
<=> ! [X0,X1] :
( sP12(X0)
| ~ sP15(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_69])]) ).
fof(f742,plain,
! [X0,X1] :
( sP12(X0)
| ~ sP15(X0,X1) ),
inference(cnf_transformation,[],[f395]) ).
fof(f1408,plain,
spl96_68,
inference(avatar_split_clause,[],[f614,f1406]) ).
fof(f614,plain,
! [X0,X1] :
( sP1(X0)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f352]) ).
fof(f1404,plain,
spl96_67,
inference(avatar_split_clause,[],[f603,f1402]) ).
fof(f1402,plain,
( spl96_67
<=> ! [X0,X1] :
( sP0(X1,X0)
| ~ sP6(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_67])]) ).
fof(f603,plain,
! [X0,X1] :
( sP0(X1,X0)
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f348]) ).
fof(f1397,plain,
( spl96_66
| ~ spl96_34
| ~ spl96_57 ),
inference(avatar_split_clause,[],[f1390,f1350,f1241,f1394]) ).
fof(f1390,plain,
( sP8(sz00)
| ~ spl96_34
| ~ spl96_57 ),
inference(resolution,[],[f1351,f1243]) ).
fof(f1389,plain,
spl96_65,
inference(avatar_split_clause,[],[f1064,f1386]) ).
fof(f1064,plain,
aSubsetOf0(sdtlcdtrc0(xd,szNzAzT0),xT),
inference(forward_demodulation,[],[f703,f636]) ).
fof(f703,plain,
aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT),
inference(cnf_transformation,[],[f386]) ).
fof(f1384,plain,
spl96_64,
inference(avatar_split_clause,[],[f858,f1381]) ).
fof(f858,plain,
xp = sdtlpdtrp0(xe,sK76),
inference(cnf_transformation,[],[f481]) ).
fof(f1379,plain,
spl96_63,
inference(avatar_split_clause,[],[f848,f1377]) ).
fof(f848,plain,
! [X0] :
( sP34(X0)
| ~ aElementOf0(X0,xO) ),
inference(cnf_transformation,[],[f314]) ).
fof(f1375,plain,
spl96_62,
inference(avatar_split_clause,[],[f728,f1373]) ).
fof(f728,plain,
! [X0] :
( sP11(X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f285]) ).
fof(f1371,plain,
spl96_61,
inference(avatar_split_clause,[],[f687,f1368]) ).
fof(f687,plain,
aElementOf0(xQ,slbdtsldtrb0(xO,xK)),
inference(cnf_transformation,[],[f145]) ).
fof(f1366,plain,
spl96_60,
inference(avatar_split_clause,[],[f671,f1363]) ).
fof(f671,plain,
aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd))),
inference(cnf_transformation,[],[f380]) ).
fof(f1361,plain,
spl96_59,
inference(avatar_split_clause,[],[f661,f1359]) ).
fof(f661,plain,
! [X0] :
( aElement0(X0)
| ~ aElementOf0(X0,xP) ),
inference(cnf_transformation,[],[f375]) ).
fof(f1357,plain,
spl96_58,
inference(avatar_split_clause,[],[f655,f1354]) ).
fof(f655,plain,
xS = sdtlpdtrp0(xN,sz00),
inference(cnf_transformation,[],[f373]) ).
fof(f1352,plain,
spl96_57,
inference(avatar_split_clause,[],[f634,f1350]) ).
fof(f634,plain,
! [X0] :
( sP8(X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f280]) ).
fof(f280,plain,
( ! [X0] :
( sP8(X0)
| ~ aElementOf0(X0,szNzAzT0) )
& szNzAzT0 = szDzozmdt0(xC)
& aFunction0(xC) ),
inference(definition_folding,[],[f138,f279,f278,f277,f276,f275,f274,f273,f272,f271]) ).
fof(f138,plain,
( ! [X0] :
( ( ! [X1] :
( ( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X5] :
( aElementOf0(X5,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X5
| aElementOf0(X5,X1) )
& aElement0(X5) ) )
& ! [X6] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X6)
| ~ aElementOf0(X6,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ( ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& ( sbrdtbr0(X1) != xk
| ( ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ? [X4] :
( ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X4,X1) ) ) )
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ aSet0(X1) )
& slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk) = szDzozmdt0(sdtlpdtrp0(xC,X0))
& ! [X7] :
( ( aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| xk != sbrdtbr0(X7)
| ( ~ aSubsetOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ( ? [X8] :
( ~ aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X8,X7) )
| ~ aSet0(X7) ) ) )
& ( ( xk = sbrdtbr0(X7)
& aSubsetOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X9] :
( aElementOf0(X9,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X9,X7) )
& aSet0(X7) )
| ~ aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X0))) ) )
& ! [X10] :
( aElementOf0(X10,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X10
& aElementOf0(X10,sdtlpdtrp0(xN,X0))
& aElement0(X10) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X11] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X11)
| ~ aElementOf0(X11,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& aFunction0(sdtlpdtrp0(xC,X0)) )
| ~ aElementOf0(X0,szNzAzT0) )
& szNzAzT0 = szDzozmdt0(xC)
& aFunction0(xC) ),
inference(flattening,[],[f137]) ).
fof(f137,plain,
( ! [X0] :
( ( ! [X1] :
( ( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X5] :
( aElementOf0(X5,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X5
| aElementOf0(X5,X1) )
& aElement0(X5) ) )
& ! [X6] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X6)
| ~ aElementOf0(X6,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ( ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& ( sbrdtbr0(X1) != xk
| ( ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ? [X4] :
( ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X4,X1) ) ) )
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ aSet0(X1) )
& slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk) = szDzozmdt0(sdtlpdtrp0(xC,X0))
& ! [X7] :
( ( aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| xk != sbrdtbr0(X7)
| ( ~ aSubsetOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ( ? [X8] :
( ~ aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X8,X7) )
| ~ aSet0(X7) ) ) )
& ( ( xk = sbrdtbr0(X7)
& aSubsetOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X9] :
( aElementOf0(X9,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X9,X7) )
& aSet0(X7) )
| ~ aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X0))) ) )
& ! [X10] :
( aElementOf0(X10,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X10
& aElementOf0(X10,sdtlpdtrp0(xN,X0))
& aElement0(X10) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X11] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X11)
| ~ aElementOf0(X11,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& aFunction0(sdtlpdtrp0(xC,X0)) )
| ~ aElementOf0(X0,szNzAzT0) )
& szNzAzT0 = szDzozmdt0(xC)
& aFunction0(xC) ),
inference(ennf_transformation,[],[f112]) ).
fof(f112,plain,
( ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ! [X1] :
( ( ( ( ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
=> ( ( ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
=> ( aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
| ( sbrdtbr0(X1) = xk
& ( aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ! [X4] :
( aElementOf0(X4,X1)
=> aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) ) ) ) )
& aSet0(X1) )
=> ( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X5] :
( aElementOf0(X5,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X5
| aElementOf0(X5,X1) )
& aElement0(X5) ) )
& ! [X6] :
( aElementOf0(X6,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X6) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) )
& slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk) = szDzozmdt0(sdtlpdtrp0(xC,X0))
& ! [X7] :
( ( ( xk = sbrdtbr0(X7)
& ( aSubsetOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ( ! [X8] :
( aElementOf0(X8,X7)
=> aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSet0(X7) ) ) )
=> aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X0))) )
& ( aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X0)))
=> ( xk = sbrdtbr0(X7)
& aSubsetOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X9] :
( aElementOf0(X9,X7)
=> aElementOf0(X9,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSet0(X7) ) ) )
& ! [X10] :
( aElementOf0(X10,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X10
& aElementOf0(X10,sdtlpdtrp0(xN,X0))
& aElement0(X10) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X11] :
( aElementOf0(X11,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X11) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& aFunction0(sdtlpdtrp0(xC,X0)) ) )
& szNzAzT0 = szDzozmdt0(xC)
& aFunction0(xC) ),
inference(rectify,[],[f86]) ).
fof(f86,axiom,
( ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ! [X1] :
( ( ( ( ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
=> ( ( ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X2
& aElementOf0(X2,sdtlpdtrp0(xN,X0))
& aElement0(X2) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
=> ( aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
| ( sbrdtbr0(X1) = xk
& ( aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) ) ) ) )
& aSet0(X1) )
=> ( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X2
| aElementOf0(X2,X1) )
& aElement0(X2) ) )
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) )
& slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk) = szDzozmdt0(sdtlpdtrp0(xC,X0))
& ! [X1] :
( ( ( sbrdtbr0(X1) = xk
& ( aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSet0(X1) ) ) )
=> aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X0))) )
& ( aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X0)))
=> ( sbrdtbr0(X1) = xk
& aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSet0(X1) ) ) )
& ! [X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X1
& aElementOf0(X1,sdtlpdtrp0(xN,X0))
& aElement0(X1) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X1) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& aFunction0(sdtlpdtrp0(xC,X0)) ) )
& szNzAzT0 = szDzozmdt0(xC)
& aFunction0(xC) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4151) ).
fof(f1348,plain,
spl96_56,
inference(avatar_split_clause,[],[f585,f1345]) ).
fof(f1345,plain,
( spl96_56
<=> aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_56])]) ).
fof(f585,plain,
aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc))),
inference(cnf_transformation,[],[f340]) ).
fof(f1343,plain,
( ~ spl96_17
| ~ spl96_55 ),
inference(avatar_split_clause,[],[f1041,f1340,f1156]) ).
fof(f1340,plain,
( spl96_55
<=> isCountable0(slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_55])]) ).
fof(f1041,plain,
( ~ isCountable0(slcrc0)
| ~ aSet0(slcrc0) ),
inference(equality_resolution,[],[f937]) ).
fof(f937,plain,
! [X0] :
( slcrc0 != X0
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f225]) ).
fof(f225,plain,
! [X0] :
( slcrc0 != X0
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f224]) ).
fof(f224,plain,
! [X0] :
( slcrc0 != X0
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( ( isCountable0(X0)
& aSet0(X0) )
=> slcrc0 != X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCountNFin_01) ).
fof(f1338,plain,
spl96_54,
inference(avatar_split_clause,[],[f861,f1335]) ).
fof(f861,plain,
slcrc0 = slbdtrb0(sz00),
inference(cnf_transformation,[],[f52]) ).
fof(f52,axiom,
slcrc0 = slbdtrb0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSegZero) ).
fof(f1333,plain,
spl96_53,
inference(avatar_split_clause,[],[f763,f1331]) ).
fof(f1331,plain,
( spl96_53
<=> ! [X0] :
( sP20(X0)
| ~ sP23(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_53])]) ).
fof(f763,plain,
! [X0] :
( sP20(X0)
| ~ sP23(X0) ),
inference(cnf_transformation,[],[f411]) ).
fof(f1329,plain,
spl96_52,
inference(avatar_split_clause,[],[f762,f1327]) ).
fof(f1327,plain,
( spl96_52
<=> ! [X0] :
( sP19(X0)
| ~ sP23(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_52])]) ).
fof(f762,plain,
! [X0] :
( sP19(X0)
| ~ sP23(X0) ),
inference(cnf_transformation,[],[f411]) ).
fof(f1325,plain,
spl96_51,
inference(avatar_split_clause,[],[f644,f1323]) ).
fof(f1323,plain,
( spl96_51
<=> ! [X0] :
( sP9(X0)
| ~ sP10(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_51])]) ).
fof(f644,plain,
! [X0] :
( sP9(X0)
| ~ sP10(X0) ),
inference(cnf_transformation,[],[f368]) ).
fof(f1321,plain,
spl96_50,
inference(avatar_split_clause,[],[f598,f1319]) ).
fof(f598,plain,
! [X0] :
( sP7(X0)
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f342]) ).
fof(f1317,plain,
spl96_49,
inference(avatar_split_clause,[],[f596,f1315]) ).
fof(f596,plain,
! [X0] :
( sP6(X0)
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f342]) ).
fof(f1313,plain,
spl96_48,
inference(avatar_split_clause,[],[f595,f1311]) ).
fof(f595,plain,
! [X0] :
( sP5(X0)
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f342]) ).
fof(f1309,plain,
spl96_47,
inference(avatar_split_clause,[],[f1071,f1306]) ).
fof(f1306,plain,
( spl96_47
<=> aSet0(sdtlcdtrc0(xd,szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_47])]) ).
fof(f1071,plain,
aSet0(sdtlcdtrc0(xd,szNzAzT0)),
inference(forward_demodulation,[],[f698,f636]) ).
fof(f698,plain,
aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd))),
inference(cnf_transformation,[],[f386]) ).
fof(f1304,plain,
( ~ spl96_46
| ~ spl96_41
| spl96_45 ),
inference(avatar_split_clause,[],[f1299,f1295,f1275,f1301]) ).
fof(f1295,plain,
( spl96_45
<=> aElementOf0(szmzizndt0(xQ),xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_45])]) ).
fof(f1299,plain,
( ~ aElementOf0(xp,xP)
| ~ spl96_41
| spl96_45 ),
inference(forward_demodulation,[],[f1297,f1277]) ).
fof(f1297,plain,
( ~ aElementOf0(szmzizndt0(xQ),xP)
| spl96_45 ),
inference(avatar_component_clause,[],[f1295]) ).
fof(f1298,plain,
~ spl96_45,
inference(avatar_split_clause,[],[f1020,f1295]) ).
fof(f1020,plain,
~ aElementOf0(szmzizndt0(xQ),xP),
inference(equality_resolution,[],[f663]) ).
fof(f663,plain,
! [X0] :
( szmzizndt0(xQ) != X0
| ~ aElementOf0(X0,xP) ),
inference(cnf_transformation,[],[f375]) ).
fof(f1293,plain,
spl96_44,
inference(avatar_split_clause,[],[f717,f1290]) ).
fof(f717,plain,
aElementOf0(xQ,szDzozmdt0(xc)),
inference(cnf_transformation,[],[f153]) ).
fof(f1288,plain,
spl96_43,
inference(avatar_split_clause,[],[f693,f1285]) ).
fof(f693,plain,
aElementOf0(szDzizrdt0(xd),xT),
inference(cnf_transformation,[],[f382]) ).
fof(f382,plain,
( ! [X0] :
( ( aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| sdtlpdtrp0(xd,X0) != szDzizrdt0(xd)
| ~ aElementOf0(X0,szDzozmdt0(xd)) )
& ( ( sdtlpdtrp0(xd,X0) = szDzizrdt0(xd)
& aElementOf0(X0,szDzozmdt0(xd)) )
| ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(szDzizrdt0(xd),xT) ),
inference(flattening,[],[f381]) ).
fof(f381,plain,
( ! [X0] :
( ( aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| sdtlpdtrp0(xd,X0) != szDzizrdt0(xd)
| ~ aElementOf0(X0,szDzozmdt0(xd)) )
& ( ( sdtlpdtrp0(xd,X0) = szDzizrdt0(xd)
& aElementOf0(X0,szDzozmdt0(xd)) )
| ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(szDzizrdt0(xd),xT) ),
inference(nnf_transformation,[],[f94]) ).
fof(f94,axiom,
( ! [X0] :
( aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
<=> ( sdtlpdtrp0(xd,X0) = szDzizrdt0(xd)
& aElementOf0(X0,szDzozmdt0(xd)) ) )
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(szDzizrdt0(xd),xT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4854) ).
fof(f1283,plain,
spl96_42,
inference(avatar_split_clause,[],[f692,f1280]) ).
fof(f692,plain,
xK = szszuzczcdt0(xk),
inference(cnf_transformation,[],[f80]) ).
fof(f80,axiom,
( xK = szszuzczcdt0(xk)
& aElementOf0(xk,szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3533) ).
fof(f1278,plain,
spl96_41,
inference(avatar_split_clause,[],[f690,f1275]) ).
fof(f690,plain,
xp = szmzizndt0(xQ),
inference(cnf_transformation,[],[f146]) ).
fof(f1273,plain,
spl96_40,
inference(avatar_split_clause,[],[f686,f1270]) ).
fof(f686,plain,
xK = sbrdtbr0(xQ),
inference(cnf_transformation,[],[f145]) ).
fof(f1268,plain,
spl96_39,
inference(avatar_split_clause,[],[f654,f1265]) ).
fof(f654,plain,
szNzAzT0 = szDzozmdt0(xN),
inference(cnf_transformation,[],[f373]) ).
fof(f1263,plain,
spl96_38,
inference(avatar_split_clause,[],[f636,f1260]) ).
fof(f1258,plain,
spl96_37,
inference(avatar_split_clause,[],[f633,f1255]) ).
fof(f633,plain,
szNzAzT0 = szDzozmdt0(xC),
inference(cnf_transformation,[],[f280]) ).
fof(f1253,plain,
spl96_36,
inference(avatar_split_clause,[],[f572,f1250]) ).
fof(f572,plain,
szNzAzT0 = szDzozmdt0(xe),
inference(cnf_transformation,[],[f134]) ).
fof(f1248,plain,
spl96_35,
inference(avatar_split_clause,[],[f1046,f1246]) ).
fof(f1046,plain,
! [X2] : ~ aElementOf0(X2,slcrc0),
inference(equality_resolution,[],[f950]) ).
fof(f950,plain,
! [X2,X0] :
( ~ aElementOf0(X2,X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f531]) ).
fof(f1244,plain,
spl96_34,
inference(avatar_split_clause,[],[f860,f1241]) ).
fof(f860,plain,
aElementOf0(sz00,szNzAzT0),
inference(cnf_transformation,[],[f24]) ).
fof(f24,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroNum) ).
fof(f1239,plain,
spl96_33,
inference(avatar_split_clause,[],[f719,f1236]) ).
fof(f719,plain,
aSubsetOf0(xQ,szNzAzT0),
inference(cnf_transformation,[],[f154]) ).
fof(f1234,plain,
spl96_32,
inference(avatar_split_clause,[],[f716,f1231]) ).
fof(f716,plain,
aSubsetOf0(xQ,xS),
inference(cnf_transformation,[],[f153]) ).
fof(f1229,plain,
~ spl96_31,
inference(avatar_split_clause,[],[f712,f1226]) ).
fof(f712,plain,
slcrc0 != xQ,
inference(cnf_transformation,[],[f388]) ).
fof(f388,plain,
( slcrc0 != xQ
& aElementOf0(sK56,xQ)
& ! [X1] :
( aElementOf0(X1,xO)
| ~ aElementOf0(X1,xQ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK56])],[f152,f387]) ).
fof(f387,plain,
( ? [X0] : aElementOf0(X0,xQ)
=> aElementOf0(sK56,xQ) ),
introduced(choice_axiom,[]) ).
fof(f152,plain,
( slcrc0 != xQ
& ? [X0] : aElementOf0(X0,xQ)
& ! [X1] :
( aElementOf0(X1,xO)
| ~ aElementOf0(X1,xQ) ) ),
inference(flattening,[],[f151]) ).
fof(f151,plain,
( slcrc0 != xQ
& ? [X0] : aElementOf0(X0,xQ)
& ! [X1] :
( aElementOf0(X1,xO)
| ~ aElementOf0(X1,xQ) ) ),
inference(ennf_transformation,[],[f117]) ).
fof(f117,plain,
( ~ ( slcrc0 = xQ
| ~ ? [X0] : aElementOf0(X0,xQ) )
& ! [X1] :
( aElementOf0(X1,xQ)
=> aElementOf0(X1,xO) ) ),
inference(rectify,[],[f100]) ).
fof(f100,axiom,
( ~ ( slcrc0 = xQ
| ~ ? [X0] : aElementOf0(X0,xQ) )
& ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,xO) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5093) ).
fof(f1224,plain,
spl96_30,
inference(avatar_split_clause,[],[f711,f1221]) ).
fof(f711,plain,
aElementOf0(sK56,xQ),
inference(cnf_transformation,[],[f388]) ).
fof(f1219,plain,
spl96_29,
inference(avatar_split_clause,[],[f709,f1216]) ).
fof(f709,plain,
aSubsetOf0(xO,xS),
inference(cnf_transformation,[],[f150]) ).
fof(f1214,plain,
spl96_28,
inference(avatar_split_clause,[],[f707,f1211]) ).
fof(f707,plain,
aSubsetOf0(xP,xQ),
inference(cnf_transformation,[],[f149]) ).
fof(f149,plain,
( aSubsetOf0(xP,xQ)
& ! [X0] :
( aElementOf0(X0,xQ)
| ~ aElementOf0(X0,xP) ) ),
inference(ennf_transformation,[],[f107]) ).
fof(f107,axiom,
( aSubsetOf0(xP,xQ)
& ! [X0] :
( aElementOf0(X0,xP)
=> aElementOf0(X0,xQ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5195) ).
fof(f1209,plain,
spl96_27,
inference(avatar_split_clause,[],[f705,f1206]) ).
fof(f705,plain,
aSubsetOf0(xP,xO),
inference(cnf_transformation,[],[f148]) ).
fof(f1204,plain,
spl96_26,
inference(avatar_split_clause,[],[f691,f1201]) ).
fof(f691,plain,
aElementOf0(xk,szNzAzT0),
inference(cnf_transformation,[],[f80]) ).
fof(f1199,plain,
spl96_25,
inference(avatar_split_clause,[],[f685,f1196]) ).
fof(f685,plain,
aSubsetOf0(xQ,xO),
inference(cnf_transformation,[],[f145]) ).
fof(f1194,plain,
spl96_24,
inference(avatar_split_clause,[],[f681,f1191]) ).
fof(f681,plain,
aSubsetOf0(xS,szNzAzT0),
inference(cnf_transformation,[],[f144]) ).
fof(f1189,plain,
spl96_23,
inference(avatar_split_clause,[],[f570,f1186]) ).
fof(f570,plain,
aElementOf0(xK,szNzAzT0),
inference(cnf_transformation,[],[f74]) ).
fof(f74,axiom,
aElementOf0(xK,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3418) ).
fof(f1184,plain,
spl96_22,
inference(avatar_split_clause,[],[f569,f1181]) ).
fof(f569,plain,
aElementOf0(xp,xQ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,axiom,
aElementOf0(xp,xQ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5173) ).
fof(f1179,plain,
~ spl96_21,
inference(avatar_split_clause,[],[f567,f1176]) ).
fof(f567,plain,
sz00 != xK,
inference(cnf_transformation,[],[f78]) ).
fof(f78,axiom,
sz00 != xK,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3462) ).
fof(f1174,plain,
( ~ spl96_20
| spl96_18 ),
inference(avatar_split_clause,[],[f1169,f1161,f1171]) ).
fof(f1161,plain,
( spl96_18
<=> sbrdtbr0(xQ) = szszuzczcdt0(sbrdtbr0(xP)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_18])]) ).
fof(f1169,plain,
( xK != szszuzczcdt0(sbrdtbr0(xP))
| spl96_18 ),
inference(forward_demodulation,[],[f1163,f686]) ).
fof(f1163,plain,
( sbrdtbr0(xQ) != szszuzczcdt0(sbrdtbr0(xP))
| spl96_18 ),
inference(avatar_component_clause,[],[f1161]) ).
fof(f1168,plain,
( ~ spl96_18
| ~ spl96_19 ),
inference(avatar_split_clause,[],[f566,f1165,f1161]) ).
fof(f566,plain,
( ~ aElementOf0(sbrdtbr0(xP),szNzAzT0)
| sbrdtbr0(xQ) != szszuzczcdt0(sbrdtbr0(xP)) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
( ~ aElementOf0(sbrdtbr0(xP),szNzAzT0)
| sbrdtbr0(xQ) != szszuzczcdt0(sbrdtbr0(xP)) ),
inference(ennf_transformation,[],[f110]) ).
fof(f110,negated_conjecture,
~ ( aElementOf0(sbrdtbr0(xP),szNzAzT0)
& sbrdtbr0(xQ) = szszuzczcdt0(sbrdtbr0(xP)) ),
inference(negated_conjecture,[],[f109]) ).
fof(f109,conjecture,
( aElementOf0(sbrdtbr0(xP),szNzAzT0)
& sbrdtbr0(xQ) = szszuzczcdt0(sbrdtbr0(xP)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f1159,plain,
spl96_17,
inference(avatar_split_clause,[],[f1047,f1156]) ).
fof(f1047,plain,
aSet0(slcrc0),
inference(equality_resolution,[],[f949]) ).
fof(f949,plain,
! [X0] :
( aSet0(X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f531]) ).
fof(f1154,plain,
spl96_16,
inference(avatar_split_clause,[],[f863,f1151]) ).
fof(f863,plain,
isCountable0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f23,axiom,
( isCountable0(szNzAzT0)
& aSet0(szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNATSet) ).
fof(f1149,plain,
spl96_15,
inference(avatar_split_clause,[],[f862,f1146]) ).
fof(f862,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f1144,plain,
spl96_14,
inference(avatar_split_clause,[],[f859,f1141]) ).
fof(f859,plain,
isFinite0(slcrc0),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
isFinite0(slcrc0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEmpFin) ).
fof(f1139,plain,
spl96_13,
inference(avatar_split_clause,[],[f683,f1136]) ).
fof(f683,plain,
aSet0(xQ),
inference(cnf_transformation,[],[f145]) ).
fof(f1134,plain,
spl96_12,
inference(avatar_split_clause,[],[f682,f1131]) ).
fof(f682,plain,
isCountable0(xS),
inference(cnf_transformation,[],[f144]) ).
fof(f1129,plain,
spl96_11,
inference(avatar_split_clause,[],[f679,f1126]) ).
fof(f679,plain,
aSet0(xS),
inference(cnf_transformation,[],[f144]) ).
fof(f1124,plain,
spl96_10,
inference(avatar_split_clause,[],[f669,f1121]) ).
fof(f669,plain,
isCountable0(xO),
inference(cnf_transformation,[],[f96]) ).
fof(f96,axiom,
( isCountable0(xO)
& aSet0(xO) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4908) ).
fof(f1119,plain,
spl96_9,
inference(avatar_split_clause,[],[f668,f1116]) ).
fof(f668,plain,
aSet0(xO),
inference(cnf_transformation,[],[f96]) ).
fof(f1114,plain,
spl96_8,
inference(avatar_split_clause,[],[f667,f1111]) ).
fof(f667,plain,
isFinite0(xT),
inference(cnf_transformation,[],[f73]) ).
fof(f73,axiom,
( isFinite0(xT)
& aSet0(xT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3291) ).
fof(f1109,plain,
spl96_7,
inference(avatar_split_clause,[],[f666,f1106]) ).
fof(f666,plain,
aSet0(xT),
inference(cnf_transformation,[],[f73]) ).
fof(f1104,plain,
spl96_6,
inference(avatar_split_clause,[],[f659,f1101]) ).
fof(f659,plain,
aSet0(xP),
inference(cnf_transformation,[],[f375]) ).
fof(f1099,plain,
spl96_5,
inference(avatar_split_clause,[],[f653,f1096]) ).
fof(f653,plain,
aFunction0(xN),
inference(cnf_transformation,[],[f373]) ).
fof(f1094,plain,
spl96_4,
inference(avatar_split_clause,[],[f635,f1091]) ).
fof(f635,plain,
aFunction0(xd),
inference(cnf_transformation,[],[f366]) ).
fof(f1089,plain,
spl96_3,
inference(avatar_split_clause,[],[f632,f1086]) ).
fof(f632,plain,
aFunction0(xC),
inference(cnf_transformation,[],[f280]) ).
fof(f1084,plain,
spl96_2,
inference(avatar_split_clause,[],[f576,f1081]) ).
fof(f576,plain,
aFunction0(xc),
inference(cnf_transformation,[],[f340]) ).
fof(f1079,plain,
spl96_1,
inference(avatar_split_clause,[],[f571,f1076]) ).
fof(f571,plain,
aFunction0(xe),
inference(cnf_transformation,[],[f134]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUM612+3 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n011.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 : Fri May 3 14:25:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (6820)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (6824)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (6821)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (6825)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 % (6826)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 % (6822)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 % (6827)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 % (6823)WARNING: value z3 for option sas not known
% 0.14/0.39 % (6823)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)
% 0.21/0.44 TRYING [1]
% 0.21/0.45 TRYING [2]
% 0.21/0.50 TRYING [3]
% 2.02/0.64 TRYING [4]
% 2.02/0.70 % (6825)First to succeed.
% 2.02/0.73 % (6825)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-6820"
% 2.02/0.73 % (6825)Refutation found. Thanks to Tanya!
% 2.02/0.73 % SZS status Theorem for theBenchmark
% 2.02/0.73 % SZS output start Proof for theBenchmark
% See solution above
% 2.70/0.75 % (6825)------------------------------
% 2.70/0.75 % (6825)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.70/0.75 % (6825)Termination reason: Refutation
% 2.70/0.75
% 2.70/0.75 % (6825)Memory used [KB]: 7692
% 2.70/0.75 % (6825)Time elapsed: 0.350 s
% 2.70/0.75 % (6825)Instructions burned: 857 (million)
% 2.70/0.75 % (6820)Success in time 0.381 s
%------------------------------------------------------------------------------