TSTP Solution File: NUM440+6 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM440+6 : 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 : n006.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 08:27:46 EDT 2024
% Result : Theorem 2.41s 0.69s
% Output : Refutation 2.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 686
% Syntax : Number of formulae : 2216 ( 183 unt; 0 def)
% Number of atoms : 8720 ( 710 equ)
% Maximal formula atoms : 64 ( 3 avg)
% Number of connectives : 10805 (4301 ~;4712 |; 948 &)
% ( 729 <=>; 112 =>; 0 <=; 3 <~>)
% Maximal formula depth : 24 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 641 ( 639 usr; 611 prp; 0-3 aty)
% Number of functors : 34 ( 34 usr; 8 con; 0-3 aty)
% Number of variables : 2758 (2636 !; 122 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f11554,plain,
$false,
inference(avatar_sat_refutation,[],[f521,f526,f531,f536,f541,f546,f551,f556,f561,f566,f571,f576,f581,f586,f591,f596,f601,f606,f611,f616,f620,f625,f634,f638,f644,f648,f656,f661,f666,f670,f674,f678,f682,f686,f690,f694,f698,f703,f714,f718,f722,f726,f730,f734,f740,f744,f748,f752,f756,f760,f764,f768,f772,f776,f781,f794,f798,f802,f809,f813,f817,f821,f825,f829,f834,f838,f842,f846,f850,f854,f858,f862,f867,f907,f912,f917,f922,f923,f929,f934,f941,f946,f950,f954,f958,f962,f966,f970,f974,f980,f984,f988,f992,f1044,f1048,f1059,f1074,f1078,f1082,f1086,f1090,f1094,f1098,f1102,f1106,f1110,f1114,f1118,f1122,f1126,f1134,f1139,f1144,f1198,f1199,f1216,f1221,f1239,f1243,f1248,f1252,f1256,f1260,f1264,f1268,f1273,f1278,f1283,f1291,f1298,f1304,f1308,f1313,f1317,f1321,f1325,f1329,f1333,f1337,f1341,f1346,f1350,f1354,f1358,f1402,f1409,f1418,f1422,f1426,f1430,f1434,f1438,f1442,f1446,f1450,f1454,f1458,f1462,f1463,f1480,f1484,f1524,f1564,f1568,f1572,f1576,f1580,f1584,f1588,f1592,f1596,f1670,f1678,f1682,f1686,f1690,f1694,f1745,f1749,f1754,f1758,f1762,f1766,f1770,f1774,f1778,f1782,f1786,f1792,f1864,f1868,f1872,f1876,f1972,f1976,f1980,f1984,f1988,f1992,f2056,f2060,f2065,f2069,f2073,f2077,f2081,f2161,f2165,f2169,f2195,f2199,f2244,f2248,f2326,f2333,f2337,f2341,f2353,f2386,f2407,f2411,f2415,f2419,f2424,f2429,f2434,f2439,f2444,f2449,f2454,f2459,f2464,f2469,f2474,f2479,f2484,f2489,f2493,f2554,f2566,f2572,f2578,f2583,f2588,f2593,f2598,f2603,f2606,f2624,f2626,f2632,f2639,f2644,f2703,f2708,f2717,f2726,f2730,f2734,f2738,f2786,f2791,f2796,f2802,f2819,f2824,f2830,f2835,f2840,f2844,f2849,f2854,f2859,f2906,f2916,f2926,f2930,f2934,f2938,f2943,f2947,f2951,f2955,f2959,f2963,f2967,f2971,f2976,f2981,f3135,f3145,f3150,f3154,f3158,f3163,f3186,f3190,f3270,f3274,f3278,f3283,f3287,f3291,f3295,f3299,f3303,f3307,f3311,f3315,f3319,f3328,f3352,f3356,f3360,f3364,f3368,f3372,f3376,f3380,f3385,f3389,f3393,f3398,f3477,f3733,f3744,f3785,f3789,f3793,f3797,f3801,f3805,f3809,f3845,f3849,f3853,f3857,f3861,f4042,f4052,f4057,f4066,f4079,f4117,f4152,f4159,f4163,f4167,f4171,f4175,f4179,f4339,f4343,f4347,f4351,f4355,f4364,f4402,f4406,f4410,f4414,f4418,f4422,f4426,f4430,f4434,f4438,f4442,f4446,f4836,f4841,f4848,f4853,f4860,f4864,f4868,f4911,f4962,f4967,f4971,f4975,f4979,f4983,f4987,f4991,f4995,f4999,f5003,f5007,f5127,f5131,f5201,f5205,f5214,f5262,f5266,f5270,f5274,f5278,f5282,f5286,f5290,f5294,f5298,f5302,f5306,f5310,f5314,f5318,f5322,f5326,f5330,f5334,f5338,f5342,f5347,f5849,f5951,f5967,f6022,f6038,f6093,f6103,f6113,f6117,f6170,f6223,f6224,f6298,f6302,f6306,f6310,f6314,f6318,f6319,f6331,f6386,f6396,f6405,f6410,f6414,f6418,f6422,f6431,f6489,f6495,f6499,f6504,f6508,f6512,f7032,f7037,f7043,f7047,f7051,f7055,f7059,f7063,f7067,f7071,f7075,f7079,f7083,f7087,f7091,f7095,f7461,f7465,f7469,f7473,f7478,f7482,f7486,f7490,f7494,f7498,f7502,f7506,f7510,f7514,f7518,f7523,f7527,f7531,f7535,f7539,f7596,f7600,f7604,f7608,f7612,f7617,f7644,f7648,f7652,f7653,f7695,f8026,f8526,f8531,f8535,f8539,f8543,f8547,f8551,f8555,f8559,f8563,f8567,f8571,f8576,f8580,f9037,f9114,f9118,f9122,f9126,f9138,f9142,f9146,f9150,f9154,f9158,f9167,f9182,f9194,f9198,f9202,f9206,f9210,f9756,f9773,f9790,f9794,f9798,f9802,f9811,f9815,f9819,f9823,f9827,f9831,f9900,f9904,f9908,f9921,f9925,f9929,f9933,f9937,f9941,f9945,f9949,f10016,f10029,f10033,f10037,f10041,f10045,f10049,f10053,f10058,f10720,f10921,f10925,f10929,f10933,f10937,f10941,f10945,f10950,f10954,f11326,f11331,f11335,f11339,f11343,f11347,f11351,f11355,f11359,f11363,f11532,f11553]) ).
fof(f11553,plain,
( spl55_100
| ~ spl55_97
| ~ spl55_99 ),
inference(avatar_split_clause,[],[f7621,f1067,f1057,f1071]) ).
fof(f1071,plain,
( spl55_100
<=> aInteger0(sK34) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_100])]) ).
fof(f1057,plain,
( spl55_97
<=> ! [X0] :
( aInteger0(X0)
| ~ aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_97])]) ).
fof(f1067,plain,
( spl55_99
<=> aElementOf0(sK34,stldt0(sdtbsmnsldt0(xA,xB))) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_99])]) ).
fof(f7621,plain,
( aInteger0(sK34)
| ~ spl55_97
| ~ spl55_99 ),
inference(resolution,[],[f1069,f1058]) ).
fof(f1058,plain,
( ! [X0] :
( ~ aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))
| aInteger0(X0) )
| ~ spl55_97 ),
inference(avatar_component_clause,[],[f1057]) ).
fof(f1069,plain,
( aElementOf0(sK34,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ spl55_99 ),
inference(avatar_component_clause,[],[f1067]) ).
fof(f11532,plain,
( spl55_181
| spl55_190
| ~ spl55_148
| ~ spl55_252 ),
inference(avatar_split_clause,[],[f6397,f2629,f1407,f1789,f1751]) ).
fof(f1751,plain,
( spl55_181
<=> aElementOf0(sK34,xA) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_181])]) ).
fof(f1789,plain,
( spl55_190
<=> aElementOf0(sK34,xB) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_190])]) ).
fof(f1407,plain,
( spl55_148
<=> ! [X0] :
( aElementOf0(X0,xB)
| ~ aElementOf0(X0,sdtbsmnsldt0(xA,xB))
| aElementOf0(X0,xA) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_148])]) ).
fof(f2629,plain,
( spl55_252
<=> aElementOf0(sK34,sdtbsmnsldt0(xA,xB)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_252])]) ).
fof(f6397,plain,
( aElementOf0(sK34,xB)
| aElementOf0(sK34,xA)
| ~ spl55_148
| ~ spl55_252 ),
inference(resolution,[],[f2630,f1408]) ).
fof(f1408,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtbsmnsldt0(xA,xB))
| aElementOf0(X0,xB)
| aElementOf0(X0,xA) )
| ~ spl55_148 ),
inference(avatar_component_clause,[],[f1407]) ).
fof(f2630,plain,
( aElementOf0(sK34,sdtbsmnsldt0(xA,xB))
| ~ spl55_252 ),
inference(avatar_component_clause,[],[f2629]) ).
fof(f11363,plain,
( ~ spl55_119
| spl55_596
| ~ spl55_97
| ~ spl55_176 ),
inference(avatar_split_clause,[],[f1736,f1684,f1057,f11361,f1218]) ).
fof(f1218,plain,
( spl55_119
<=> aSet0(stldt0(sdtbsmnsldt0(xA,xB))) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_119])]) ).
fof(f11361,plain,
( spl55_596
<=> ! [X0] :
( aInteger0(sK46(X0,stldt0(sdtbsmnsldt0(xA,xB))))
| sP26(X0,stldt0(sdtbsmnsldt0(xA,xB))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_596])]) ).
fof(f1684,plain,
( spl55_176
<=> ! [X0,X1] :
( sP26(X0,X1)
| aInteger0(sK46(X0,X1))
| aElementOf0(sK46(X0,X1),X1)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_176])]) ).
fof(f1736,plain,
( ! [X0] :
( aInteger0(sK46(X0,stldt0(sdtbsmnsldt0(xA,xB))))
| sP26(X0,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aSet0(stldt0(sdtbsmnsldt0(xA,xB))) )
| ~ spl55_97
| ~ spl55_176 ),
inference(duplicate_literal_removal,[],[f1723]) ).
fof(f1723,plain,
( ! [X0] :
( aInteger0(sK46(X0,stldt0(sdtbsmnsldt0(xA,xB))))
| sP26(X0,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
| aInteger0(sK46(X0,stldt0(sdtbsmnsldt0(xA,xB)))) )
| ~ spl55_97
| ~ spl55_176 ),
inference(resolution,[],[f1685,f1058]) ).
fof(f1685,plain,
( ! [X0,X1] :
( aElementOf0(sK46(X0,X1),X1)
| aInteger0(sK46(X0,X1))
| sP26(X0,X1)
| ~ aSet0(X1) )
| ~ spl55_176 ),
inference(avatar_component_clause,[],[f1684]) ).
fof(f11359,plain,
( spl55_595
| ~ spl55_82
| ~ spl55_170 ),
inference(avatar_split_clause,[],[f1625,f1586,f939,f11357]) ).
fof(f11357,plain,
( spl55_595
<=> ! [X0] :
( aElementOf0(sK47(sdtbsmnsldt0(xA,xB),X0),X0)
| sP28(sdtbsmnsldt0(xA,xB),X0)
| aInteger0(sK48(sdtbsmnsldt0(xA,xB),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_595])]) ).
fof(f939,plain,
( spl55_82
<=> ! [X0] :
( aInteger0(X0)
| ~ aElementOf0(X0,sdtbsmnsldt0(xA,xB)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_82])]) ).
fof(f1586,plain,
( spl55_170
<=> ! [X0,X1] :
( sP28(X0,X1)
| aElementOf0(sK48(X0,X1),X0)
| aElementOf0(sK47(X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_170])]) ).
fof(f1625,plain,
( ! [X0] :
( aElementOf0(sK47(sdtbsmnsldt0(xA,xB),X0),X0)
| sP28(sdtbsmnsldt0(xA,xB),X0)
| aInteger0(sK48(sdtbsmnsldt0(xA,xB),X0)) )
| ~ spl55_82
| ~ spl55_170 ),
inference(resolution,[],[f1587,f940]) ).
fof(f940,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtbsmnsldt0(xA,xB))
| aInteger0(X0) )
| ~ spl55_82 ),
inference(avatar_component_clause,[],[f939]) ).
fof(f1587,plain,
( ! [X0,X1] :
( aElementOf0(sK48(X0,X1),X0)
| aElementOf0(sK47(X0,X1),X1)
| sP28(X0,X1) )
| ~ spl55_170 ),
inference(avatar_component_clause,[],[f1586]) ).
fof(f11355,plain,
( spl55_594
| ~ spl55_54
| ~ spl55_167 ),
inference(avatar_split_clause,[],[f1613,f1574,f762,f11353]) ).
fof(f11353,plain,
( spl55_594
<=> ! [X0,X1] :
( sdteqdtlpzmzozddtrp0(sK44(szAzrzSzezqlpdtcmdtrp0(X0,X1)),X0,X1)
| ~ sP15(X1,X0,sK44(szAzrzSzezqlpdtcmdtrp0(X0,X1)))
| sP24(szAzrzSzezqlpdtcmdtrp0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_594])]) ).
fof(f762,plain,
( spl55_54
<=> ! [X0] :
( sP24(X0)
| aElementOf0(sK44(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_54])]) ).
fof(f1574,plain,
( spl55_167
<=> ! [X2,X0,X1] :
( sdteqdtlpzmzozddtrp0(X2,X1,X0)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ~ sP15(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_167])]) ).
fof(f1613,plain,
( ! [X0,X1] :
( sdteqdtlpzmzozddtrp0(sK44(szAzrzSzezqlpdtcmdtrp0(X0,X1)),X0,X1)
| ~ sP15(X1,X0,sK44(szAzrzSzezqlpdtcmdtrp0(X0,X1)))
| sP24(szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
| ~ spl55_54
| ~ spl55_167 ),
inference(resolution,[],[f1575,f763]) ).
fof(f763,plain,
( ! [X0] :
( aElementOf0(sK44(X0),X0)
| sP24(X0) )
| ~ spl55_54 ),
inference(avatar_component_clause,[],[f762]) ).
fof(f1575,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| sdteqdtlpzmzozddtrp0(X2,X1,X0)
| ~ sP15(X0,X1,X2) )
| ~ spl55_167 ),
inference(avatar_component_clause,[],[f1574]) ).
fof(f11351,plain,
( spl55_593
| ~ spl55_54
| ~ spl55_166 ),
inference(avatar_split_clause,[],[f1608,f1570,f762,f11349]) ).
fof(f11349,plain,
( spl55_593
<=> ! [X0,X1] :
( sP14(X0,X1,sK44(szAzrzSzezqlpdtcmdtrp0(X1,X0)))
| ~ sP15(X0,X1,sK44(szAzrzSzezqlpdtcmdtrp0(X1,X0)))
| sP24(szAzrzSzezqlpdtcmdtrp0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_593])]) ).
fof(f1570,plain,
( spl55_166
<=> ! [X2,X0,X1] :
( sP14(X0,X1,X2)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ~ sP15(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_166])]) ).
fof(f1608,plain,
( ! [X0,X1] :
( sP14(X0,X1,sK44(szAzrzSzezqlpdtcmdtrp0(X1,X0)))
| ~ sP15(X0,X1,sK44(szAzrzSzezqlpdtcmdtrp0(X1,X0)))
| sP24(szAzrzSzezqlpdtcmdtrp0(X1,X0)) )
| ~ spl55_54
| ~ spl55_166 ),
inference(resolution,[],[f1571,f763]) ).
fof(f1571,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| sP14(X0,X1,X2)
| ~ sP15(X0,X1,X2) )
| ~ spl55_166 ),
inference(avatar_component_clause,[],[f1570]) ).
fof(f11347,plain,
( spl55_592
| ~ spl55_54
| ~ spl55_165 ),
inference(avatar_split_clause,[],[f1603,f1566,f762,f11345]) ).
fof(f11345,plain,
( spl55_592
<=> ! [X0,X1] :
( sdteqdtlpzmzozddtrp0(sK44(szAzrzSzezqlpdtcmdtrp0(X0,X1)),X0,X1)
| ~ sP19(X1,X0,sK44(szAzrzSzezqlpdtcmdtrp0(X0,X1)))
| sP24(szAzrzSzezqlpdtcmdtrp0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_592])]) ).
fof(f1566,plain,
( spl55_165
<=> ! [X2,X0,X1] :
( sdteqdtlpzmzozddtrp0(X2,X1,X0)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ~ sP19(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_165])]) ).
fof(f1603,plain,
( ! [X0,X1] :
( sdteqdtlpzmzozddtrp0(sK44(szAzrzSzezqlpdtcmdtrp0(X0,X1)),X0,X1)
| ~ sP19(X1,X0,sK44(szAzrzSzezqlpdtcmdtrp0(X0,X1)))
| sP24(szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
| ~ spl55_54
| ~ spl55_165 ),
inference(resolution,[],[f1567,f763]) ).
fof(f1567,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| sdteqdtlpzmzozddtrp0(X2,X1,X0)
| ~ sP19(X0,X1,X2) )
| ~ spl55_165 ),
inference(avatar_component_clause,[],[f1566]) ).
fof(f11343,plain,
( spl55_591
| ~ spl55_54
| ~ spl55_164 ),
inference(avatar_split_clause,[],[f1598,f1562,f762,f11341]) ).
fof(f11341,plain,
( spl55_591
<=> ! [X0,X1] :
( sP18(X0,X1,sK44(szAzrzSzezqlpdtcmdtrp0(X1,X0)))
| ~ sP19(X0,X1,sK44(szAzrzSzezqlpdtcmdtrp0(X1,X0)))
| sP24(szAzrzSzezqlpdtcmdtrp0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_591])]) ).
fof(f1562,plain,
( spl55_164
<=> ! [X2,X0,X1] :
( sP18(X0,X1,X2)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ~ sP19(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_164])]) ).
fof(f1598,plain,
( ! [X0,X1] :
( sP18(X0,X1,sK44(szAzrzSzezqlpdtcmdtrp0(X1,X0)))
| ~ sP19(X0,X1,sK44(szAzrzSzezqlpdtcmdtrp0(X1,X0)))
| sP24(szAzrzSzezqlpdtcmdtrp0(X1,X0)) )
| ~ spl55_54
| ~ spl55_164 ),
inference(resolution,[],[f1563,f763]) ).
fof(f1563,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| sP18(X0,X1,X2)
| ~ sP19(X0,X1,X2) )
| ~ spl55_164 ),
inference(avatar_component_clause,[],[f1562]) ).
fof(f11339,plain,
( spl55_590
| ~ spl55_120
| ~ spl55_160 ),
inference(avatar_split_clause,[],[f1552,f1460,f1237,f11337]) ).
fof(f11337,plain,
( spl55_590
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| sz00 = X1
| ~ aInteger0(X1)
| sdtasdt0(X1,X0) = sdtasdt0(X1,sK42(sdtasdt0(X1,X0),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_590])]) ).
fof(f1237,plain,
( spl55_120
<=> ! [X0,X1] :
( sdtasdt0(X1,sK42(X0,X1)) = X0
| ~ sP22(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_120])]) ).
fof(f1460,plain,
( spl55_160
<=> ! [X2,X1] :
( sP22(sdtasdt0(X1,X2),X1)
| ~ aInteger0(X2)
| sz00 = X1
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_160])]) ).
fof(f1552,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| sz00 = X1
| ~ aInteger0(X1)
| sdtasdt0(X1,X0) = sdtasdt0(X1,sK42(sdtasdt0(X1,X0),X1)) )
| ~ spl55_120
| ~ spl55_160 ),
inference(resolution,[],[f1461,f1238]) ).
fof(f1238,plain,
( ! [X0,X1] :
( ~ sP22(X0,X1)
| sdtasdt0(X1,sK42(X0,X1)) = X0 )
| ~ spl55_120 ),
inference(avatar_component_clause,[],[f1237]) ).
fof(f1461,plain,
( ! [X2,X1] :
( sP22(sdtasdt0(X1,X2),X1)
| ~ aInteger0(X2)
| sz00 = X1
| ~ aInteger0(X1) )
| ~ spl55_160 ),
inference(avatar_component_clause,[],[f1460]) ).
fof(f11335,plain,
( spl55_589
| ~ spl55_107
| ~ spl55_146 ),
inference(avatar_split_clause,[],[f1398,f1356,f1100,f11333]) ).
fof(f11333,plain,
( spl55_589
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sK45(X1,X2)) = sdtasdt0(sK45(X1,X2),X0)
| ~ aInteger0(X0)
| ~ aElementOf0(X2,X1)
| ~ sP24(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_589])]) ).
fof(f1100,plain,
( spl55_107
<=> ! [X0,X3] :
( aInteger0(sK45(X0,X3))
| ~ aElementOf0(X3,X0)
| ~ sP24(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_107])]) ).
fof(f1356,plain,
( spl55_146
<=> ! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_146])]) ).
fof(f1398,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sK45(X1,X2)) = sdtasdt0(sK45(X1,X2),X0)
| ~ aInteger0(X0)
| ~ aElementOf0(X2,X1)
| ~ sP24(X1) )
| ~ spl55_107
| ~ spl55_146 ),
inference(resolution,[],[f1357,f1101]) ).
fof(f1101,plain,
( ! [X3,X0] :
( aInteger0(sK45(X0,X3))
| ~ aElementOf0(X3,X0)
| ~ sP24(X0) )
| ~ spl55_107 ),
inference(avatar_component_clause,[],[f1100]) ).
fof(f1357,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aInteger0(X0) )
| ~ spl55_146 ),
inference(avatar_component_clause,[],[f1356]) ).
fof(f11331,plain,
( spl55_588
| ~ spl55_27
| ~ spl55_372 ),
inference(avatar_split_clause,[],[f4365,f4361,f636,f11328]) ).
fof(f11328,plain,
( spl55_588
<=> sP23(sK44(stldt0(sdtbsmnsldt0(xA,xB)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_588])]) ).
fof(f636,plain,
( spl55_27
<=> ! [X0] :
( sP23(X0)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_27])]) ).
fof(f4361,plain,
( spl55_372
<=> aInteger0(sK44(stldt0(sdtbsmnsldt0(xA,xB)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_372])]) ).
fof(f4365,plain,
( sP23(sK44(stldt0(sdtbsmnsldt0(xA,xB))))
| ~ spl55_27
| ~ spl55_372 ),
inference(resolution,[],[f4363,f637]) ).
fof(f637,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sP23(X0) )
| ~ spl55_27 ),
inference(avatar_component_clause,[],[f636]) ).
fof(f4363,plain,
( aInteger0(sK44(stldt0(sdtbsmnsldt0(xA,xB))))
| ~ spl55_372 ),
inference(avatar_component_clause,[],[f4361]) ).
fof(f11326,plain,
( spl55_587
| ~ spl55_107
| ~ spl55_145 ),
inference(avatar_split_clause,[],[f1386,f1352,f1100,f11324]) ).
fof(f11324,plain,
( spl55_587
<=> ! [X2,X0,X1] :
( sdtpldt0(X0,sK45(X1,X2)) = sdtpldt0(sK45(X1,X2),X0)
| ~ aInteger0(X0)
| ~ aElementOf0(X2,X1)
| ~ sP24(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_587])]) ).
fof(f1352,plain,
( spl55_145
<=> ! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_145])]) ).
fof(f1386,plain,
( ! [X2,X0,X1] :
( sdtpldt0(X0,sK45(X1,X2)) = sdtpldt0(sK45(X1,X2),X0)
| ~ aInteger0(X0)
| ~ aElementOf0(X2,X1)
| ~ sP24(X1) )
| ~ spl55_107
| ~ spl55_145 ),
inference(resolution,[],[f1353,f1101]) ).
fof(f1353,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aInteger0(X0) )
| ~ spl55_145 ),
inference(avatar_component_clause,[],[f1352]) ).
fof(f10954,plain,
( spl55_586
| ~ spl55_47
| ~ spl55_194 ),
inference(avatar_split_clause,[],[f1954,f1874,f732,f10952]) ).
fof(f10952,plain,
( spl55_586
<=> ! [X0,X1] :
( aElementOf0(sK53(stldt0(xB),X0,X1),X1)
| sP32(stldt0(xB),X0,X1)
| sP21(sK53(stldt0(xB),X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_586])]) ).
fof(f732,plain,
( spl55_47
<=> ! [X0] :
( sP21(X0)
| ~ aElementOf0(X0,stldt0(xB)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_47])]) ).
fof(f1874,plain,
( spl55_194
<=> ! [X2,X0,X1] :
( sP32(X0,X1,X2)
| aElementOf0(sK53(X0,X1,X2),X0)
| aElementOf0(sK53(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_194])]) ).
fof(f1954,plain,
( ! [X0,X1] :
( aElementOf0(sK53(stldt0(xB),X0,X1),X1)
| sP32(stldt0(xB),X0,X1)
| sP21(sK53(stldt0(xB),X0,X1)) )
| ~ spl55_47
| ~ spl55_194 ),
inference(resolution,[],[f1875,f733]) ).
fof(f733,plain,
( ! [X0] :
( ~ aElementOf0(X0,stldt0(xB))
| sP21(X0) )
| ~ spl55_47 ),
inference(avatar_component_clause,[],[f732]) ).
fof(f1875,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK53(X0,X1,X2),X2)
| aElementOf0(sK53(X0,X1,X2),X0)
| sP32(X0,X1,X2) )
| ~ spl55_194 ),
inference(avatar_component_clause,[],[f1874]) ).
fof(f10950,plain,
( spl55_585
| ~ spl55_100
| ~ spl55_288 ),
inference(avatar_split_clause,[],[f3008,f2945,f1071,f10947]) ).
fof(f10947,plain,
( spl55_585
<=> sz00 = sdtasdt0(sz00,smndt0(sK34)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_585])]) ).
fof(f2945,plain,
( spl55_288
<=> ! [X0] :
( sz00 = sdtasdt0(sz00,smndt0(X0))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_288])]) ).
fof(f3008,plain,
( sz00 = sdtasdt0(sz00,smndt0(sK34))
| ~ spl55_100
| ~ spl55_288 ),
inference(resolution,[],[f2946,f1073]) ).
fof(f1073,plain,
( aInteger0(sK34)
| ~ spl55_100 ),
inference(avatar_component_clause,[],[f1071]) ).
fof(f2946,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sz00,smndt0(X0)) )
| ~ spl55_288 ),
inference(avatar_component_clause,[],[f2945]) ).
fof(f10945,plain,
( spl55_584
| ~ spl55_45
| ~ spl55_194 ),
inference(avatar_split_clause,[],[f1951,f1874,f724,f10943]) ).
fof(f10943,plain,
( spl55_584
<=> ! [X0,X1] :
( aElementOf0(sK53(stldt0(xA),X0,X1),X1)
| sP32(stldt0(xA),X0,X1)
| sP17(sK53(stldt0(xA),X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_584])]) ).
fof(f724,plain,
( spl55_45
<=> ! [X2] :
( sP17(X2)
| ~ aElementOf0(X2,stldt0(xA)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_45])]) ).
fof(f1951,plain,
( ! [X0,X1] :
( aElementOf0(sK53(stldt0(xA),X0,X1),X1)
| sP32(stldt0(xA),X0,X1)
| sP17(sK53(stldt0(xA),X0,X1)) )
| ~ spl55_45
| ~ spl55_194 ),
inference(resolution,[],[f1875,f725]) ).
fof(f725,plain,
( ! [X2] :
( ~ aElementOf0(X2,stldt0(xA))
| sP17(X2) )
| ~ spl55_45 ),
inference(avatar_component_clause,[],[f724]) ).
fof(f10941,plain,
( spl55_583
| ~ spl55_47
| ~ spl55_194 ),
inference(avatar_split_clause,[],[f1933,f1874,f732,f10939]) ).
fof(f10939,plain,
( spl55_583
<=> ! [X0,X1] :
( aElementOf0(sK53(X0,X1,stldt0(xB)),X0)
| sP32(X0,X1,stldt0(xB))
| sP21(sK53(X0,X1,stldt0(xB))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_583])]) ).
fof(f1933,plain,
( ! [X0,X1] :
( aElementOf0(sK53(X0,X1,stldt0(xB)),X0)
| sP32(X0,X1,stldt0(xB))
| sP21(sK53(X0,X1,stldt0(xB))) )
| ~ spl55_47
| ~ spl55_194 ),
inference(resolution,[],[f1875,f733]) ).
fof(f10937,plain,
( spl55_582
| ~ spl55_45
| ~ spl55_194 ),
inference(avatar_split_clause,[],[f1930,f1874,f724,f10935]) ).
fof(f10935,plain,
( spl55_582
<=> ! [X0,X1] :
( aElementOf0(sK53(X0,X1,stldt0(xA)),X0)
| sP32(X0,X1,stldt0(xA))
| sP17(sK53(X0,X1,stldt0(xA))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_582])]) ).
fof(f1930,plain,
( ! [X0,X1] :
( aElementOf0(sK53(X0,X1,stldt0(xA)),X0)
| sP32(X0,X1,stldt0(xA))
| sP17(sK53(X0,X1,stldt0(xA))) )
| ~ spl55_45
| ~ spl55_194 ),
inference(resolution,[],[f1875,f725]) ).
fof(f10933,plain,
( spl55_581
| ~ spl55_47
| ~ spl55_193 ),
inference(avatar_split_clause,[],[f1911,f1870,f732,f10931]) ).
fof(f10931,plain,
( spl55_581
<=> ! [X0,X1] :
( aElementOf0(sK53(X0,stldt0(xB),X1),X1)
| sP32(X0,stldt0(xB),X1)
| sP21(sK53(X0,stldt0(xB),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_581])]) ).
fof(f1870,plain,
( spl55_193
<=> ! [X2,X0,X1] :
( sP32(X0,X1,X2)
| aElementOf0(sK53(X0,X1,X2),X1)
| aElementOf0(sK53(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_193])]) ).
fof(f1911,plain,
( ! [X0,X1] :
( aElementOf0(sK53(X0,stldt0(xB),X1),X1)
| sP32(X0,stldt0(xB),X1)
| sP21(sK53(X0,stldt0(xB),X1)) )
| ~ spl55_47
| ~ spl55_193 ),
inference(resolution,[],[f1871,f733]) ).
fof(f1871,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK53(X0,X1,X2),X2)
| aElementOf0(sK53(X0,X1,X2),X1)
| sP32(X0,X1,X2) )
| ~ spl55_193 ),
inference(avatar_component_clause,[],[f1870]) ).
fof(f10929,plain,
( spl55_580
| ~ spl55_45
| ~ spl55_193 ),
inference(avatar_split_clause,[],[f1908,f1870,f724,f10927]) ).
fof(f10927,plain,
( spl55_580
<=> ! [X0,X1] :
( aElementOf0(sK53(X0,stldt0(xA),X1),X1)
| sP32(X0,stldt0(xA),X1)
| sP17(sK53(X0,stldt0(xA),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_580])]) ).
fof(f1908,plain,
( ! [X0,X1] :
( aElementOf0(sK53(X0,stldt0(xA),X1),X1)
| sP32(X0,stldt0(xA),X1)
| sP17(sK53(X0,stldt0(xA),X1)) )
| ~ spl55_45
| ~ spl55_193 ),
inference(resolution,[],[f1871,f725]) ).
fof(f10925,plain,
( spl55_579
| ~ spl55_47
| ~ spl55_193 ),
inference(avatar_split_clause,[],[f1890,f1870,f732,f10923]) ).
fof(f10923,plain,
( spl55_579
<=> ! [X0,X1] :
( aElementOf0(sK53(X0,X1,stldt0(xB)),X1)
| sP32(X0,X1,stldt0(xB))
| sP21(sK53(X0,X1,stldt0(xB))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_579])]) ).
fof(f1890,plain,
( ! [X0,X1] :
( aElementOf0(sK53(X0,X1,stldt0(xB)),X1)
| sP32(X0,X1,stldt0(xB))
| sP21(sK53(X0,X1,stldt0(xB))) )
| ~ spl55_47
| ~ spl55_193 ),
inference(resolution,[],[f1871,f733]) ).
fof(f10921,plain,
( spl55_578
| ~ spl55_45
| ~ spl55_193 ),
inference(avatar_split_clause,[],[f1887,f1870,f724,f10919]) ).
fof(f10919,plain,
( spl55_578
<=> ! [X0,X1] :
( aElementOf0(sK53(X0,X1,stldt0(xA)),X1)
| sP32(X0,X1,stldt0(xA))
| sP17(sK53(X0,X1,stldt0(xA))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_578])]) ).
fof(f1887,plain,
( ! [X0,X1] :
( aElementOf0(sK53(X0,X1,stldt0(xA)),X1)
| sP32(X0,X1,stldt0(xA))
| sP17(sK53(X0,X1,stldt0(xA))) )
| ~ spl55_45
| ~ spl55_193 ),
inference(resolution,[],[f1871,f725]) ).
fof(f10720,plain,
( spl55_577
| ~ spl55_100
| ~ spl55_284 ),
inference(avatar_split_clause,[],[f2988,f2928,f1071,f10717]) ).
fof(f10717,plain,
( spl55_577
<=> sz00 = sdtasdt0(smndt0(sK34),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_577])]) ).
fof(f2928,plain,
( spl55_284
<=> ! [X0] :
( sz00 = sdtasdt0(smndt0(X0),sz00)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_284])]) ).
fof(f2988,plain,
( sz00 = sdtasdt0(smndt0(sK34),sz00)
| ~ spl55_100
| ~ spl55_284 ),
inference(resolution,[],[f2929,f1073]) ).
fof(f2929,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(smndt0(X0),sz00) )
| ~ spl55_284 ),
inference(avatar_component_clause,[],[f2928]) ).
fof(f10058,plain,
( spl55_576
| ~ spl55_43
| ~ spl55_537 ),
inference(avatar_split_clause,[],[f9169,f9164,f716,f10055]) ).
fof(f10055,plain,
( spl55_576
<=> aElementOf0(sK44(sdtbsmnsldt0(xA,xB)),cS1395) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_576])]) ).
fof(f716,plain,
( spl55_43
<=> ! [X4] :
( aElementOf0(X4,cS1395)
| ~ aElementOf0(X4,xB) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_43])]) ).
fof(f9164,plain,
( spl55_537
<=> aElementOf0(sK44(sdtbsmnsldt0(xA,xB)),xB) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_537])]) ).
fof(f9169,plain,
( aElementOf0(sK44(sdtbsmnsldt0(xA,xB)),cS1395)
| ~ spl55_43
| ~ spl55_537 ),
inference(resolution,[],[f9166,f717]) ).
fof(f717,plain,
( ! [X4] :
( ~ aElementOf0(X4,xB)
| aElementOf0(X4,cS1395) )
| ~ spl55_43 ),
inference(avatar_component_clause,[],[f716]) ).
fof(f9166,plain,
( aElementOf0(sK44(sdtbsmnsldt0(xA,xB)),xB)
| ~ spl55_537 ),
inference(avatar_component_clause,[],[f9164]) ).
fof(f10053,plain,
( spl55_575
| ~ spl55_100
| ~ spl55_207 ),
inference(avatar_split_clause,[],[f2151,f2079,f1071,f10051]) ).
fof(f10051,plain,
( spl55_575
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sK34) = sdtpldt0(sdtasdt0(X0,sK34),sdtasdt0(X1,sK34))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_575])]) ).
fof(f2079,plain,
( spl55_207
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_207])]) ).
fof(f2151,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sK34) = sdtpldt0(sdtasdt0(X0,sK34),sdtasdt0(X1,sK34))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl55_100
| ~ spl55_207 ),
inference(resolution,[],[f2080,f1073]) ).
fof(f2080,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X2)
| sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl55_207 ),
inference(avatar_component_clause,[],[f2079]) ).
fof(f10049,plain,
( spl55_574
| ~ spl55_15
| ~ spl55_207 ),
inference(avatar_split_clause,[],[f2146,f2079,f578,f10047]) ).
fof(f10047,plain,
( spl55_574
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X1,sz10))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_574])]) ).
fof(f578,plain,
( spl55_15
<=> aInteger0(sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_15])]) ).
fof(f2146,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X1,sz10))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl55_15
| ~ spl55_207 ),
inference(resolution,[],[f2080,f580]) ).
fof(f580,plain,
( aInteger0(sz10)
| ~ spl55_15 ),
inference(avatar_component_clause,[],[f578]) ).
fof(f10045,plain,
( spl55_573
| ~ spl55_16
| ~ spl55_207 ),
inference(avatar_split_clause,[],[f2145,f2079,f583,f10043]) ).
fof(f10043,plain,
( spl55_573
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X1,sz00))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_573])]) ).
fof(f583,plain,
( spl55_16
<=> aInteger0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_16])]) ).
fof(f2145,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X1,sz00))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl55_16
| ~ spl55_207 ),
inference(resolution,[],[f2080,f585]) ).
fof(f585,plain,
( aInteger0(sz00)
| ~ spl55_16 ),
inference(avatar_component_clause,[],[f583]) ).
fof(f10041,plain,
( spl55_572
| ~ spl55_100
| ~ spl55_206 ),
inference(avatar_split_clause,[],[f2138,f2075,f1071,f10039]) ).
fof(f10039,plain,
( spl55_572
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sK34)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK34))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_572])]) ).
fof(f2075,plain,
( spl55_206
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_206])]) ).
fof(f2138,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sK34)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK34))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl55_100
| ~ spl55_206 ),
inference(resolution,[],[f2076,f1073]) ).
fof(f2076,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X2)
| sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl55_206 ),
inference(avatar_component_clause,[],[f2075]) ).
fof(f10037,plain,
( spl55_571
| ~ spl55_15
| ~ spl55_206 ),
inference(avatar_split_clause,[],[f2133,f2075,f578,f10035]) ).
fof(f10035,plain,
( spl55_571
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sz10)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz10))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_571])]) ).
fof(f2133,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sz10)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz10))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl55_15
| ~ spl55_206 ),
inference(resolution,[],[f2076,f580]) ).
fof(f10033,plain,
( spl55_570
| ~ spl55_16
| ~ spl55_206 ),
inference(avatar_split_clause,[],[f2132,f2075,f583,f10031]) ).
fof(f10031,plain,
( spl55_570
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sz00)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz00))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_570])]) ).
fof(f2132,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sz00)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz00))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl55_16
| ~ spl55_206 ),
inference(resolution,[],[f2076,f585]) ).
fof(f10029,plain,
( spl55_569
| ~ spl55_114
| ~ spl55_200 ),
inference(avatar_split_clause,[],[f2043,f1990,f1128,f10027]) ).
fof(f10027,plain,
( spl55_569
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),smndt0(sz10)) = sdtasdt0(X0,sdtasdt0(X1,smndt0(sz10)))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_569])]) ).
fof(f1128,plain,
( spl55_114
<=> aInteger0(smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_114])]) ).
fof(f1990,plain,
( spl55_200
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X0,X1),X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_200])]) ).
fof(f2043,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),smndt0(sz10)) = sdtasdt0(X0,sdtasdt0(X1,smndt0(sz10)))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl55_114
| ~ spl55_200 ),
inference(resolution,[],[f1991,f1129]) ).
fof(f1129,plain,
( aInteger0(smndt0(sz10))
| ~ spl55_114 ),
inference(avatar_component_clause,[],[f1128]) ).
fof(f1991,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X2)
| sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X0,X1),X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl55_200 ),
inference(avatar_component_clause,[],[f1990]) ).
fof(f10016,plain,
( spl55_568
| ~ spl55_114
| ~ spl55_199 ),
inference(avatar_split_clause,[],[f2030,f1986,f1128,f10014]) ).
fof(f10014,plain,
( spl55_568
<=> ! [X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,smndt0(sz10))) = sdtpldt0(sdtpldt0(X0,X1),smndt0(sz10))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_568])]) ).
fof(f1986,plain,
( spl55_199
<=> ! [X2,X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_199])]) ).
fof(f2030,plain,
( ! [X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,smndt0(sz10))) = sdtpldt0(sdtpldt0(X0,X1),smndt0(sz10))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl55_114
| ~ spl55_199 ),
inference(resolution,[],[f1987,f1129]) ).
fof(f1987,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X2)
| sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl55_199 ),
inference(avatar_component_clause,[],[f1986]) ).
fof(f9949,plain,
( ~ spl55_118
| spl55_567
| ~ spl55_82
| ~ spl55_195 ),
inference(avatar_split_clause,[],[f2019,f1970,f939,f9947,f1213]) ).
fof(f1213,plain,
( spl55_118
<=> aSet0(sdtbsmnsldt0(xA,xB)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_118])]) ).
fof(f9947,plain,
( spl55_567
<=> ! [X0,X1] :
( aInteger0(sK52(X0,X1,sdtbsmnsldt0(xA,xB)))
| sP30(X0,X1,sdtbsmnsldt0(xA,xB)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_567])]) ).
fof(f1970,plain,
( spl55_195
<=> ! [X2,X0,X1] :
( sP30(X0,X1,X2)
| aInteger0(sK52(X0,X1,X2))
| aElementOf0(sK52(X0,X1,X2),X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_195])]) ).
fof(f2019,plain,
( ! [X0,X1] :
( aInteger0(sK52(X0,X1,sdtbsmnsldt0(xA,xB)))
| sP30(X0,X1,sdtbsmnsldt0(xA,xB))
| ~ aSet0(sdtbsmnsldt0(xA,xB)) )
| ~ spl55_82
| ~ spl55_195 ),
inference(duplicate_literal_removal,[],[f1995]) ).
fof(f1995,plain,
( ! [X0,X1] :
( aInteger0(sK52(X0,X1,sdtbsmnsldt0(xA,xB)))
| sP30(X0,X1,sdtbsmnsldt0(xA,xB))
| ~ aSet0(sdtbsmnsldt0(xA,xB))
| aInteger0(sK52(X0,X1,sdtbsmnsldt0(xA,xB))) )
| ~ spl55_82
| ~ spl55_195 ),
inference(resolution,[],[f1971,f940]) ).
fof(f1971,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK52(X0,X1,X2),X2)
| aInteger0(sK52(X0,X1,X2))
| sP30(X0,X1,X2)
| ~ aSet0(X2) )
| ~ spl55_195 ),
inference(avatar_component_clause,[],[f1970]) ).
fof(f9945,plain,
( spl55_566
| ~ spl55_150
| ~ spl55_175 ),
inference(avatar_split_clause,[],[f1711,f1680,f1420,f9943]) ).
fof(f9943,plain,
( spl55_566
<=> ! [X0,X1] :
( ~ sdteqdtlpzmzozddtrp0(X0,X1,sK39(X1))
| ~ aInteger0(X0)
| ~ sP16(sK39(X1),X1)
| aElementOf0(X0,stldt0(xA))
| ~ sP17(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_566])]) ).
fof(f1420,plain,
( spl55_150
<=> ! [X2,X0] :
( aElementOf0(X2,stldt0(xA))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,sK39(X0)))
| ~ sP17(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_150])]) ).
fof(f1680,plain,
( spl55_175
<=> ! [X2,X0,X1] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ~ sdteqdtlpzmzozddtrp0(X2,X1,X0)
| ~ aInteger0(X2)
| ~ sP16(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_175])]) ).
fof(f1711,plain,
( ! [X0,X1] :
( ~ sdteqdtlpzmzozddtrp0(X0,X1,sK39(X1))
| ~ aInteger0(X0)
| ~ sP16(sK39(X1),X1)
| aElementOf0(X0,stldt0(xA))
| ~ sP17(X1) )
| ~ spl55_150
| ~ spl55_175 ),
inference(resolution,[],[f1681,f1421]) ).
fof(f1421,plain,
( ! [X2,X0] :
( ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,sK39(X0)))
| aElementOf0(X2,stldt0(xA))
| ~ sP17(X0) )
| ~ spl55_150 ),
inference(avatar_component_clause,[],[f1420]) ).
fof(f1681,plain,
( ! [X2,X0,X1] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ~ sdteqdtlpzmzozddtrp0(X2,X1,X0)
| ~ aInteger0(X2)
| ~ sP16(X0,X1) )
| ~ spl55_175 ),
inference(avatar_component_clause,[],[f1680]) ).
fof(f9941,plain,
( spl55_565
| ~ spl55_149
| ~ spl55_175 ),
inference(avatar_split_clause,[],[f1710,f1680,f1416,f9939]) ).
fof(f9939,plain,
( spl55_565
<=> ! [X0,X1] :
( ~ sdteqdtlpzmzozddtrp0(X0,X1,sK37(X1))
| ~ aInteger0(X0)
| ~ sP16(sK37(X1),X1)
| aElementOf0(X0,stldt0(xB))
| ~ sP21(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_565])]) ).
fof(f1416,plain,
( spl55_149
<=> ! [X2,X0] :
( aElementOf0(X2,stldt0(xB))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,sK37(X0)))
| ~ sP21(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_149])]) ).
fof(f1710,plain,
( ! [X0,X1] :
( ~ sdteqdtlpzmzozddtrp0(X0,X1,sK37(X1))
| ~ aInteger0(X0)
| ~ sP16(sK37(X1),X1)
| aElementOf0(X0,stldt0(xB))
| ~ sP21(X1) )
| ~ spl55_149
| ~ spl55_175 ),
inference(resolution,[],[f1681,f1417]) ).
fof(f1417,plain,
( ! [X2,X0] :
( ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,sK37(X0)))
| aElementOf0(X2,stldt0(xB))
| ~ sP21(X0) )
| ~ spl55_149 ),
inference(avatar_component_clause,[],[f1416]) ).
fof(f9937,plain,
( spl55_564
| ~ spl55_164
| ~ spl55_175 ),
inference(avatar_split_clause,[],[f1707,f1680,f1562,f9935]) ).
fof(f9935,plain,
( spl55_564
<=> ! [X2,X0,X1] :
( ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aInteger0(X0)
| ~ sP16(X2,X1)
| sP18(X2,X1,X0)
| ~ sP19(X2,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_564])]) ).
fof(f1707,plain,
( ! [X2,X0,X1] :
( ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aInteger0(X0)
| ~ sP16(X2,X1)
| sP18(X2,X1,X0)
| ~ sP19(X2,X1,X0) )
| ~ spl55_164
| ~ spl55_175 ),
inference(resolution,[],[f1681,f1563]) ).
fof(f9933,plain,
( spl55_563
| ~ spl55_166
| ~ spl55_175 ),
inference(avatar_split_clause,[],[f1705,f1680,f1570,f9931]) ).
fof(f9931,plain,
( spl55_563
<=> ! [X2,X0,X1] :
( ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aInteger0(X0)
| ~ sP16(X2,X1)
| sP14(X2,X1,X0)
| ~ sP15(X2,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_563])]) ).
fof(f1705,plain,
( ! [X2,X0,X1] :
( ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aInteger0(X0)
| ~ sP16(X2,X1)
| sP14(X2,X1,X0)
| ~ sP15(X2,X1,X0) )
| ~ spl55_166
| ~ spl55_175 ),
inference(resolution,[],[f1681,f1571]) ).
fof(f9929,plain,
( spl55_562
| ~ spl55_150
| ~ spl55_174 ),
inference(avatar_split_clause,[],[f1702,f1676,f1420,f9927]) ).
fof(f9927,plain,
( spl55_562
<=> ! [X0,X1] :
( ~ sdteqdtlpzmzozddtrp0(X0,X1,sK39(X1))
| ~ aInteger0(X0)
| ~ sP20(sK39(X1),X1)
| aElementOf0(X0,stldt0(xA))
| ~ sP17(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_562])]) ).
fof(f1676,plain,
( spl55_174
<=> ! [X2,X0,X1] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ~ sdteqdtlpzmzozddtrp0(X2,X1,X0)
| ~ aInteger0(X2)
| ~ sP20(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_174])]) ).
fof(f1702,plain,
( ! [X0,X1] :
( ~ sdteqdtlpzmzozddtrp0(X0,X1,sK39(X1))
| ~ aInteger0(X0)
| ~ sP20(sK39(X1),X1)
| aElementOf0(X0,stldt0(xA))
| ~ sP17(X1) )
| ~ spl55_150
| ~ spl55_174 ),
inference(resolution,[],[f1677,f1421]) ).
fof(f1677,plain,
( ! [X2,X0,X1] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ~ sdteqdtlpzmzozddtrp0(X2,X1,X0)
| ~ aInteger0(X2)
| ~ sP20(X0,X1) )
| ~ spl55_174 ),
inference(avatar_component_clause,[],[f1676]) ).
fof(f9925,plain,
( spl55_561
| ~ spl55_149
| ~ spl55_174 ),
inference(avatar_split_clause,[],[f1701,f1676,f1416,f9923]) ).
fof(f9923,plain,
( spl55_561
<=> ! [X0,X1] :
( ~ sdteqdtlpzmzozddtrp0(X0,X1,sK37(X1))
| ~ aInteger0(X0)
| ~ sP20(sK37(X1),X1)
| aElementOf0(X0,stldt0(xB))
| ~ sP21(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_561])]) ).
fof(f1701,plain,
( ! [X0,X1] :
( ~ sdteqdtlpzmzozddtrp0(X0,X1,sK37(X1))
| ~ aInteger0(X0)
| ~ sP20(sK37(X1),X1)
| aElementOf0(X0,stldt0(xB))
| ~ sP21(X1) )
| ~ spl55_149
| ~ spl55_174 ),
inference(resolution,[],[f1677,f1417]) ).
fof(f9921,plain,
( spl55_560
| ~ spl55_164
| ~ spl55_174 ),
inference(avatar_split_clause,[],[f1698,f1676,f1562,f9919]) ).
fof(f9919,plain,
( spl55_560
<=> ! [X2,X0,X1] :
( ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aInteger0(X0)
| ~ sP20(X2,X1)
| sP18(X2,X1,X0)
| ~ sP19(X2,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_560])]) ).
fof(f1698,plain,
( ! [X2,X0,X1] :
( ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aInteger0(X0)
| ~ sP20(X2,X1)
| sP18(X2,X1,X0)
| ~ sP19(X2,X1,X0) )
| ~ spl55_164
| ~ spl55_174 ),
inference(resolution,[],[f1677,f1563]) ).
fof(f9908,plain,
( spl55_559
| ~ spl55_166
| ~ spl55_174 ),
inference(avatar_split_clause,[],[f1696,f1676,f1570,f9906]) ).
fof(f9906,plain,
( spl55_559
<=> ! [X2,X0,X1] :
( ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aInteger0(X0)
| ~ sP20(X2,X1)
| sP14(X2,X1,X0)
| ~ sP15(X2,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_559])]) ).
fof(f1696,plain,
( ! [X2,X0,X1] :
( ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aInteger0(X0)
| ~ sP20(X2,X1)
| sP14(X2,X1,X0)
| ~ sP15(X2,X1,X0) )
| ~ spl55_166
| ~ spl55_174 ),
inference(resolution,[],[f1677,f1571]) ).
fof(f9904,plain,
( spl55_558
| ~ spl55_162
| ~ spl55_172 ),
inference(avatar_split_clause,[],[f1666,f1594,f1482,f9902]) ).
fof(f9902,plain,
( spl55_558
<=> ! [X2,X0,X1] :
( aElementOf0(X0,X1)
| ~ aElementOf0(X0,sdtbsmnsldt0(X1,X2))
| aElementOf0(X0,X2)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X1,cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_558])]) ).
fof(f1482,plain,
( spl55_162
<=> ! [X0,X1] :
( sP33(X1,X0,sdtbsmnsldt0(X0,X1))
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_162])]) ).
fof(f1594,plain,
( spl55_172
<=> ! [X2,X4,X0,X1] :
( aElementOf0(X4,X0)
| aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ sP33(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_172])]) ).
fof(f1666,plain,
( ! [X2,X0,X1] :
( aElementOf0(X0,X1)
| ~ aElementOf0(X0,sdtbsmnsldt0(X1,X2))
| aElementOf0(X0,X2)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X1,cS1395) )
| ~ spl55_162
| ~ spl55_172 ),
inference(resolution,[],[f1595,f1483]) ).
fof(f1483,plain,
( ! [X0,X1] :
( sP33(X1,X0,sdtbsmnsldt0(X0,X1))
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) )
| ~ spl55_162 ),
inference(avatar_component_clause,[],[f1482]) ).
fof(f1595,plain,
( ! [X2,X0,X1,X4] :
( ~ sP33(X0,X1,X2)
| aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| aElementOf0(X4,X0) )
| ~ spl55_172 ),
inference(avatar_component_clause,[],[f1594]) ).
fof(f9900,plain,
( spl55_557
| ~ spl55_137
| ~ spl55_154 ),
inference(avatar_split_clause,[],[f1518,f1436,f1319,f9898]) ).
fof(f9898,plain,
( spl55_557
<=> ! [X2,X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP24(X1)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,sK45(X1,X0)))
| aElementOf0(X2,X1)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_557])]) ).
fof(f1319,plain,
( spl55_137
<=> ! [X0,X1,X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_137])]) ).
fof(f1436,plain,
( spl55_154
<=> ! [X0,X3] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X3,sK45(X0,X3)),X0)
| ~ aElementOf0(X3,X0)
| ~ sP24(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_154])]) ).
fof(f1518,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP24(X1)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,sK45(X1,X0)))
| aElementOf0(X2,X1)
| ~ aSet0(X1) )
| ~ spl55_137
| ~ spl55_154 ),
inference(resolution,[],[f1437,f1320]) ).
fof(f1320,plain,
( ! [X3,X0,X1] :
( ~ aSubsetOf0(X1,X0)
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X0)
| ~ aSet0(X0) )
| ~ spl55_137 ),
inference(avatar_component_clause,[],[f1319]) ).
fof(f1437,plain,
( ! [X3,X0] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X3,sK45(X0,X3)),X0)
| ~ aElementOf0(X3,X0)
| ~ sP24(X0) )
| ~ spl55_154 ),
inference(avatar_component_clause,[],[f1436]) ).
fof(f9831,plain,
( ~ spl55_118
| spl55_556
| ~ spl55_82
| ~ spl55_152 ),
inference(avatar_split_clause,[],[f1493,f1428,f939,f9829,f1213]) ).
fof(f9829,plain,
( spl55_556
<=> ! [X0] :
( aSubsetOf0(sdtbsmnsldt0(xA,xB),X0)
| aInteger0(sK43(X0,sdtbsmnsldt0(xA,xB)))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_556])]) ).
fof(f1428,plain,
( spl55_152
<=> ! [X0,X1] :
( aSubsetOf0(X1,X0)
| aElementOf0(sK43(X0,X1),X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_152])]) ).
fof(f1493,plain,
( ! [X0] :
( aSubsetOf0(sdtbsmnsldt0(xA,xB),X0)
| ~ aSet0(sdtbsmnsldt0(xA,xB))
| ~ aSet0(X0)
| aInteger0(sK43(X0,sdtbsmnsldt0(xA,xB))) )
| ~ spl55_82
| ~ spl55_152 ),
inference(resolution,[],[f1429,f940]) ).
fof(f1429,plain,
( ! [X0,X1] :
( aElementOf0(sK43(X0,X1),X1)
| aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ~ aSet0(X0) )
| ~ spl55_152 ),
inference(avatar_component_clause,[],[f1428]) ).
fof(f9827,plain,
( spl55_555
| ~ spl55_94
| ~ spl55_146 ),
inference(avatar_split_clause,[],[f1391,f1356,f990,f9825]) ).
fof(f9825,plain,
( spl55_555
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X1,X2),X0)
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_555])]) ).
fof(f990,plain,
( spl55_94
<=> ! [X0,X1] :
( aInteger0(sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_94])]) ).
fof(f1391,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X1,X2),X0)
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) )
| ~ spl55_94
| ~ spl55_146 ),
inference(resolution,[],[f1357,f991]) ).
fof(f991,plain,
( ! [X0,X1] :
( aInteger0(sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl55_94 ),
inference(avatar_component_clause,[],[f990]) ).
fof(f9823,plain,
( spl55_554
| ~ spl55_93
| ~ spl55_146 ),
inference(avatar_split_clause,[],[f1390,f1356,f986,f9821]) ).
fof(f9821,plain,
( spl55_554
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtasdt0(sdtpldt0(X1,X2),X0)
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_554])]) ).
fof(f986,plain,
( spl55_93
<=> ! [X0,X1] :
( aInteger0(sdtpldt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_93])]) ).
fof(f1390,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtasdt0(sdtpldt0(X1,X2),X0)
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) )
| ~ spl55_93
| ~ spl55_146 ),
inference(resolution,[],[f1357,f987]) ).
fof(f987,plain,
( ! [X0,X1] :
( aInteger0(sdtpldt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl55_93 ),
inference(avatar_component_clause,[],[f986]) ).
fof(f9819,plain,
( spl55_553
| ~ spl55_94
| ~ spl55_145 ),
inference(avatar_split_clause,[],[f1379,f1352,f990,f9817]) ).
fof(f9817,plain,
( spl55_553
<=> ! [X2,X0,X1] :
( sdtpldt0(X0,sdtasdt0(X1,X2)) = sdtpldt0(sdtasdt0(X1,X2),X0)
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_553])]) ).
fof(f1379,plain,
( ! [X2,X0,X1] :
( sdtpldt0(X0,sdtasdt0(X1,X2)) = sdtpldt0(sdtasdt0(X1,X2),X0)
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) )
| ~ spl55_94
| ~ spl55_145 ),
inference(resolution,[],[f1353,f991]) ).
fof(f9815,plain,
( spl55_552
| ~ spl55_93
| ~ spl55_145 ),
inference(avatar_split_clause,[],[f1378,f1352,f986,f9813]) ).
fof(f9813,plain,
( spl55_552
<=> ! [X2,X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X1,X2),X0)
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_552])]) ).
fof(f1378,plain,
( ! [X2,X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X1,X2),X0)
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) )
| ~ spl55_93
| ~ spl55_145 ),
inference(resolution,[],[f1353,f987]) ).
fof(f9811,plain,
( spl55_550
| ~ spl55_119
| spl55_551
| ~ spl55_97
| ~ spl55_110 ),
inference(avatar_split_clause,[],[f1231,f1112,f1057,f9808,f1218,f9804]) ).
fof(f9804,plain,
( spl55_550
<=> aInteger0(sK51(stldt0(sdtbsmnsldt0(xA,xB)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_550])]) ).
fof(f9808,plain,
( spl55_551
<=> isOpen0(sbsmnsldt0(stldt0(sdtbsmnsldt0(xA,xB)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_551])]) ).
fof(f1112,plain,
( spl55_110
<=> ! [X0] :
( isOpen0(sbsmnsldt0(X0))
| aElementOf0(sK51(X0),X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_110])]) ).
fof(f1231,plain,
( isOpen0(sbsmnsldt0(stldt0(sdtbsmnsldt0(xA,xB))))
| ~ aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
| aInteger0(sK51(stldt0(sdtbsmnsldt0(xA,xB))))
| ~ spl55_97
| ~ spl55_110 ),
inference(resolution,[],[f1113,f1058]) ).
fof(f1113,plain,
( ! [X0] :
( aElementOf0(sK51(X0),X0)
| isOpen0(sbsmnsldt0(X0))
| ~ aSet0(X0) )
| ~ spl55_110 ),
inference(avatar_component_clause,[],[f1112]) ).
fof(f9802,plain,
( spl55_549
| ~ spl55_104
| ~ spl55_106 ),
inference(avatar_split_clause,[],[f1183,f1096,f1088,f9800]) ).
fof(f9800,plain,
( spl55_549
<=> ! [X2,X0,X1] :
( smndt0(sK40(X0,X1,X2)) = sdtasdt0(sK40(X0,X1,X2),smndt0(sz10))
| ~ sP14(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_549])]) ).
fof(f1088,plain,
( spl55_104
<=> ! [X2,X0,X1] :
( aInteger0(sK40(X0,X1,X2))
| ~ sP14(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_104])]) ).
fof(f1096,plain,
( spl55_106
<=> ! [X0] :
( smndt0(X0) = sdtasdt0(X0,smndt0(sz10))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_106])]) ).
fof(f1183,plain,
( ! [X2,X0,X1] :
( smndt0(sK40(X0,X1,X2)) = sdtasdt0(sK40(X0,X1,X2),smndt0(sz10))
| ~ sP14(X0,X1,X2) )
| ~ spl55_104
| ~ spl55_106 ),
inference(resolution,[],[f1097,f1089]) ).
fof(f1089,plain,
( ! [X2,X0,X1] :
( aInteger0(sK40(X0,X1,X2))
| ~ sP14(X0,X1,X2) )
| ~ spl55_104 ),
inference(avatar_component_clause,[],[f1088]) ).
fof(f1097,plain,
( ! [X0] :
( ~ aInteger0(X0)
| smndt0(X0) = sdtasdt0(X0,smndt0(sz10)) )
| ~ spl55_106 ),
inference(avatar_component_clause,[],[f1096]) ).
fof(f9798,plain,
( spl55_548
| ~ spl55_102
| ~ spl55_106 ),
inference(avatar_split_clause,[],[f1181,f1096,f1080,f9796]) ).
fof(f9796,plain,
( spl55_548
<=> ! [X2,X0,X1] :
( smndt0(sK38(X0,X1,X2)) = sdtasdt0(sK38(X0,X1,X2),smndt0(sz10))
| ~ sP18(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_548])]) ).
fof(f1080,plain,
( spl55_102
<=> ! [X2,X0,X1] :
( aInteger0(sK38(X0,X1,X2))
| ~ sP18(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_102])]) ).
fof(f1181,plain,
( ! [X2,X0,X1] :
( smndt0(sK38(X0,X1,X2)) = sdtasdt0(sK38(X0,X1,X2),smndt0(sz10))
| ~ sP18(X0,X1,X2) )
| ~ spl55_102
| ~ spl55_106 ),
inference(resolution,[],[f1097,f1081]) ).
fof(f1081,plain,
( ! [X2,X0,X1] :
( aInteger0(sK38(X0,X1,X2))
| ~ sP18(X0,X1,X2) )
| ~ spl55_102 ),
inference(avatar_component_clause,[],[f1080]) ).
fof(f9794,plain,
( spl55_547
| ~ spl55_104
| ~ spl55_105 ),
inference(avatar_split_clause,[],[f1173,f1092,f1088,f9792]) ).
fof(f9792,plain,
( spl55_547
<=> ! [X2,X0,X1] :
( smndt0(sK40(X0,X1,X2)) = sdtasdt0(smndt0(sz10),sK40(X0,X1,X2))
| ~ sP14(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_547])]) ).
fof(f1092,plain,
( spl55_105
<=> ! [X0] :
( smndt0(X0) = sdtasdt0(smndt0(sz10),X0)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_105])]) ).
fof(f1173,plain,
( ! [X2,X0,X1] :
( smndt0(sK40(X0,X1,X2)) = sdtasdt0(smndt0(sz10),sK40(X0,X1,X2))
| ~ sP14(X0,X1,X2) )
| ~ spl55_104
| ~ spl55_105 ),
inference(resolution,[],[f1093,f1089]) ).
fof(f1093,plain,
( ! [X0] :
( ~ aInteger0(X0)
| smndt0(X0) = sdtasdt0(smndt0(sz10),X0) )
| ~ spl55_105 ),
inference(avatar_component_clause,[],[f1092]) ).
fof(f9790,plain,
( spl55_546
| ~ spl55_102
| ~ spl55_105 ),
inference(avatar_split_clause,[],[f1171,f1092,f1080,f9788]) ).
fof(f9788,plain,
( spl55_546
<=> ! [X2,X0,X1] :
( smndt0(sK38(X0,X1,X2)) = sdtasdt0(smndt0(sz10),sK38(X0,X1,X2))
| ~ sP18(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_546])]) ).
fof(f1171,plain,
( ! [X2,X0,X1] :
( smndt0(sK38(X0,X1,X2)) = sdtasdt0(smndt0(sz10),sK38(X0,X1,X2))
| ~ sP18(X0,X1,X2) )
| ~ spl55_102
| ~ spl55_105 ),
inference(resolution,[],[f1093,f1081]) ).
fof(f9773,plain,
( ~ spl55_6
| spl55_545
| ~ spl55_43
| ~ spl55_195 ),
inference(avatar_split_clause,[],[f2013,f1970,f716,f9771,f533]) ).
fof(f533,plain,
( spl55_6
<=> aSet0(xB) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_6])]) ).
fof(f9771,plain,
( spl55_545
<=> ! [X0,X1] :
( aInteger0(sK52(X0,X1,xB))
| aElementOf0(sK52(X0,X1,xB),cS1395)
| sP30(X0,X1,xB) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_545])]) ).
fof(f2013,plain,
( ! [X0,X1] :
( aInteger0(sK52(X0,X1,xB))
| sP30(X0,X1,xB)
| ~ aSet0(xB)
| aElementOf0(sK52(X0,X1,xB),cS1395) )
| ~ spl55_43
| ~ spl55_195 ),
inference(resolution,[],[f1971,f717]) ).
fof(f9756,plain,
( ~ spl55_4
| spl55_544
| ~ spl55_42
| ~ spl55_195 ),
inference(avatar_split_clause,[],[f2012,f1970,f712,f9754,f523]) ).
fof(f523,plain,
( spl55_4
<=> aSet0(xA) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_4])]) ).
fof(f9754,plain,
( spl55_544
<=> ! [X0,X1] :
( aInteger0(sK52(X0,X1,xA))
| aElementOf0(sK52(X0,X1,xA),cS1395)
| sP30(X0,X1,xA) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_544])]) ).
fof(f712,plain,
( spl55_42
<=> ! [X6] :
( aElementOf0(X6,cS1395)
| ~ aElementOf0(X6,xA) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_42])]) ).
fof(f2012,plain,
( ! [X0,X1] :
( aInteger0(sK52(X0,X1,xA))
| sP30(X0,X1,xA)
| ~ aSet0(xA)
| aElementOf0(sK52(X0,X1,xA),cS1395) )
| ~ spl55_42
| ~ spl55_195 ),
inference(resolution,[],[f1971,f713]) ).
fof(f713,plain,
( ! [X6] :
( ~ aElementOf0(X6,xA)
| aElementOf0(X6,cS1395) )
| ~ spl55_42 ),
inference(avatar_component_clause,[],[f712]) ).
fof(f9210,plain,
( spl55_543
| ~ spl55_215 ),
inference(avatar_split_clause,[],[f2320,f2246,f9208]) ).
fof(f9208,plain,
( spl55_543
<=> ! [X4,X5] :
( aElementOf0(sK54(X4,X4,X5),X5)
| aElementOf0(sK54(X4,X4,X5),X4)
| sP33(X4,X4,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_543])]) ).
fof(f2246,plain,
( spl55_215
<=> ! [X2,X0,X1] :
( sP33(X0,X1,X2)
| aElementOf0(sK54(X0,X1,X2),X0)
| aElementOf0(sK54(X0,X1,X2),X1)
| aElementOf0(sK54(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_215])]) ).
fof(f2320,plain,
( ! [X4,X5] :
( aElementOf0(sK54(X4,X4,X5),X5)
| aElementOf0(sK54(X4,X4,X5),X4)
| sP33(X4,X4,X5) )
| ~ spl55_215 ),
inference(factoring,[],[f2247]) ).
fof(f2247,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK54(X0,X1,X2),X2)
| aElementOf0(sK54(X0,X1,X2),X1)
| aElementOf0(sK54(X0,X1,X2),X0)
| sP33(X0,X1,X2) )
| ~ spl55_215 ),
inference(avatar_component_clause,[],[f2246]) ).
fof(f9206,plain,
( spl55_542
| ~ spl55_215 ),
inference(avatar_split_clause,[],[f2319,f2246,f9204]) ).
fof(f9204,plain,
( spl55_542
<=> ! [X2,X3] :
( aElementOf0(sK54(X2,X3,X2),X2)
| aElementOf0(sK54(X2,X3,X2),X3)
| sP33(X2,X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_542])]) ).
fof(f2319,plain,
( ! [X2,X3] :
( aElementOf0(sK54(X2,X3,X2),X2)
| aElementOf0(sK54(X2,X3,X2),X3)
| sP33(X2,X3,X2) )
| ~ spl55_215 ),
inference(factoring,[],[f2247]) ).
fof(f9202,plain,
( spl55_541
| ~ spl55_215 ),
inference(avatar_split_clause,[],[f2318,f2246,f9200]) ).
fof(f9200,plain,
( spl55_541
<=> ! [X0,X1] :
( aElementOf0(sK54(X0,X1,X1),X1)
| aElementOf0(sK54(X0,X1,X1),X0)
| sP33(X0,X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_541])]) ).
fof(f2318,plain,
( ! [X0,X1] :
( aElementOf0(sK54(X0,X1,X1),X1)
| aElementOf0(sK54(X0,X1,X1),X0)
| sP33(X0,X1,X1) )
| ~ spl55_215 ),
inference(factoring,[],[f2247]) ).
fof(f9198,plain,
( spl55_540
| ~ spl55_158
| ~ spl55_162 ),
inference(avatar_split_clause,[],[f1559,f1482,f1452,f9196]) ).
fof(f9196,plain,
( spl55_540
<=> ! [X2,X0,X1] :
( ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| ~ aElementOf0(X2,X1)
| ~ aInteger0(X2)
| aElementOf0(X2,sdtbsmnsldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_540])]) ).
fof(f1452,plain,
( spl55_158
<=> ! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElementOf0(X4,X1)
| ~ aInteger0(X4)
| ~ sP33(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_158])]) ).
fof(f1559,plain,
( ! [X2,X0,X1] :
( ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| ~ aElementOf0(X2,X1)
| ~ aInteger0(X2)
| aElementOf0(X2,sdtbsmnsldt0(X1,X0)) )
| ~ spl55_158
| ~ spl55_162 ),
inference(resolution,[],[f1483,f1453]) ).
fof(f1453,plain,
( ! [X2,X0,X1,X4] :
( ~ sP33(X0,X1,X2)
| ~ aElementOf0(X4,X1)
| ~ aInteger0(X4)
| aElementOf0(X4,X2) )
| ~ spl55_158 ),
inference(avatar_component_clause,[],[f1452]) ).
fof(f9194,plain,
( spl55_539
| ~ spl55_159
| ~ spl55_162 ),
inference(avatar_split_clause,[],[f1558,f1482,f1456,f9192]) ).
fof(f9192,plain,
( spl55_539
<=> ! [X2,X0,X1] :
( ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| ~ aElementOf0(X2,X0)
| ~ aInteger0(X2)
| aElementOf0(X2,sdtbsmnsldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_539])]) ).
fof(f1456,plain,
( spl55_159
<=> ! [X4,X0,X2,X1] :
( aElementOf0(X4,X2)
| ~ aElementOf0(X4,X0)
| ~ aInteger0(X4)
| ~ sP33(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_159])]) ).
fof(f1558,plain,
( ! [X2,X0,X1] :
( ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| ~ aElementOf0(X2,X0)
| ~ aInteger0(X2)
| aElementOf0(X2,sdtbsmnsldt0(X1,X0)) )
| ~ spl55_159
| ~ spl55_162 ),
inference(resolution,[],[f1483,f1457]) ).
fof(f1457,plain,
( ! [X2,X0,X1,X4] :
( ~ sP33(X0,X1,X2)
| ~ aElementOf0(X4,X0)
| ~ aInteger0(X4)
| aElementOf0(X4,X2) )
| ~ spl55_159 ),
inference(avatar_component_clause,[],[f1456]) ).
fof(f9182,plain,
( spl55_538
| ~ spl55_86
| ~ spl55_160 ),
inference(avatar_split_clause,[],[f1553,f1460,f956,f9180]) ).
fof(f9180,plain,
( spl55_538
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| sz00 = X1
| ~ aInteger0(X1)
| aDivisorOf0(X1,sdtasdt0(X1,X0))
| ~ sP23(sdtasdt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_538])]) ).
fof(f956,plain,
( spl55_86
<=> ! [X0,X1] :
( aDivisorOf0(X1,X0)
| ~ sP22(X0,X1)
| ~ sP23(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_86])]) ).
fof(f1553,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| sz00 = X1
| ~ aInteger0(X1)
| aDivisorOf0(X1,sdtasdt0(X1,X0))
| ~ sP23(sdtasdt0(X1,X0)) )
| ~ spl55_86
| ~ spl55_160 ),
inference(resolution,[],[f1461,f957]) ).
fof(f957,plain,
( ! [X0,X1] :
( ~ sP22(X0,X1)
| aDivisorOf0(X1,X0)
| ~ sP23(X0) )
| ~ spl55_86 ),
inference(avatar_component_clause,[],[f956]) ).
fof(f9167,plain,
( spl55_320
| spl55_536
| spl55_537
| ~ spl55_54
| ~ spl55_148 ),
inference(avatar_split_clause,[],[f1412,f1407,f762,f9164,f9160,f3321]) ).
fof(f3321,plain,
( spl55_320
<=> sP24(sdtbsmnsldt0(xA,xB)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_320])]) ).
fof(f9160,plain,
( spl55_536
<=> aElementOf0(sK44(sdtbsmnsldt0(xA,xB)),xA) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_536])]) ).
fof(f1412,plain,
( aElementOf0(sK44(sdtbsmnsldt0(xA,xB)),xB)
| aElementOf0(sK44(sdtbsmnsldt0(xA,xB)),xA)
| sP24(sdtbsmnsldt0(xA,xB))
| ~ spl55_54
| ~ spl55_148 ),
inference(resolution,[],[f1408,f763]) ).
fof(f9158,plain,
( spl55_535
| ~ spl55_73
| ~ spl55_146 ),
inference(avatar_split_clause,[],[f1397,f1356,f852,f9156]) ).
fof(f9156,plain,
( spl55_535
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sK42(X1,X2)) = sdtasdt0(sK42(X1,X2),X0)
| ~ aInteger0(X0)
| ~ sP22(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_535])]) ).
fof(f852,plain,
( spl55_73
<=> ! [X0,X1] :
( aInteger0(sK42(X0,X1))
| ~ sP22(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_73])]) ).
fof(f1397,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sK42(X1,X2)) = sdtasdt0(sK42(X1,X2),X0)
| ~ aInteger0(X0)
| ~ sP22(X1,X2) )
| ~ spl55_73
| ~ spl55_146 ),
inference(resolution,[],[f1357,f853]) ).
fof(f853,plain,
( ! [X0,X1] :
( aInteger0(sK42(X0,X1))
| ~ sP22(X0,X1) )
| ~ spl55_73 ),
inference(avatar_component_clause,[],[f852]) ).
fof(f9154,plain,
( spl55_534
| ~ spl55_73
| ~ spl55_145 ),
inference(avatar_split_clause,[],[f1385,f1352,f852,f9152]) ).
fof(f9152,plain,
( spl55_534
<=> ! [X2,X0,X1] :
( sdtpldt0(X0,sK42(X1,X2)) = sdtpldt0(sK42(X1,X2),X0)
| ~ aInteger0(X0)
| ~ sP22(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_534])]) ).
fof(f1385,plain,
( ! [X2,X0,X1] :
( sdtpldt0(X0,sK42(X1,X2)) = sdtpldt0(sK42(X1,X2),X0)
| ~ aInteger0(X0)
| ~ sP22(X1,X2) )
| ~ spl55_73
| ~ spl55_145 ),
inference(resolution,[],[f1353,f853]) ).
fof(f9150,plain,
( spl55_533
| ~ spl55_54
| ~ spl55_136 ),
inference(avatar_split_clause,[],[f1362,f1315,f762,f9148]) ).
fof(f9148,plain,
( spl55_533
<=> ! [X0,X1] :
( aInteger0(sK44(szAzrzSzezqlpdtcmdtrp0(X0,X1)))
| ~ sP15(X1,X0,sK44(szAzrzSzezqlpdtcmdtrp0(X0,X1)))
| sP24(szAzrzSzezqlpdtcmdtrp0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_533])]) ).
fof(f1315,plain,
( spl55_136
<=> ! [X2,X0,X1] :
( aInteger0(X2)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ~ sP15(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_136])]) ).
fof(f1362,plain,
( ! [X0,X1] :
( aInteger0(sK44(szAzrzSzezqlpdtcmdtrp0(X0,X1)))
| ~ sP15(X1,X0,sK44(szAzrzSzezqlpdtcmdtrp0(X0,X1)))
| sP24(szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
| ~ spl55_54
| ~ spl55_136 ),
inference(resolution,[],[f1316,f763]) ).
fof(f1316,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| aInteger0(X2)
| ~ sP15(X0,X1,X2) )
| ~ spl55_136 ),
inference(avatar_component_clause,[],[f1315]) ).
fof(f9146,plain,
( spl55_532
| ~ spl55_54
| ~ spl55_135 ),
inference(avatar_split_clause,[],[f1359,f1311,f762,f9144]) ).
fof(f9144,plain,
( spl55_532
<=> ! [X0,X1] :
( aInteger0(sK44(szAzrzSzezqlpdtcmdtrp0(X0,X1)))
| ~ sP19(X1,X0,sK44(szAzrzSzezqlpdtcmdtrp0(X0,X1)))
| sP24(szAzrzSzezqlpdtcmdtrp0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_532])]) ).
fof(f1311,plain,
( spl55_135
<=> ! [X2,X0,X1] :
( aInteger0(X2)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ~ sP19(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_135])]) ).
fof(f1359,plain,
( ! [X0,X1] :
( aInteger0(sK44(szAzrzSzezqlpdtcmdtrp0(X0,X1)))
| ~ sP19(X1,X0,sK44(szAzrzSzezqlpdtcmdtrp0(X0,X1)))
| sP24(szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
| ~ spl55_54
| ~ spl55_135 ),
inference(resolution,[],[f1312,f763]) ).
fof(f1312,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| aInteger0(X2)
| ~ sP19(X0,X1,X2) )
| ~ spl55_135 ),
inference(avatar_component_clause,[],[f1311]) ).
fof(f9142,plain,
( spl55_531
| ~ spl55_106
| ~ spl55_107 ),
inference(avatar_split_clause,[],[f1195,f1100,f1096,f9140]) ).
fof(f9140,plain,
( spl55_531
<=> ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP24(X1)
| smndt0(sK45(X1,X0)) = sdtasdt0(sK45(X1,X0),smndt0(sz10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_531])]) ).
fof(f1195,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP24(X1)
| smndt0(sK45(X1,X0)) = sdtasdt0(sK45(X1,X0),smndt0(sz10)) )
| ~ spl55_106
| ~ spl55_107 ),
inference(resolution,[],[f1101,f1097]) ).
fof(f9138,plain,
( spl55_530
| ~ spl55_105
| ~ spl55_107 ),
inference(avatar_split_clause,[],[f1194,f1100,f1092,f9136]) ).
fof(f9136,plain,
( spl55_530
<=> ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP24(X1)
| smndt0(sK45(X1,X0)) = sdtasdt0(smndt0(sz10),sK45(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_530])]) ).
fof(f1194,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP24(X1)
| smndt0(sK45(X1,X0)) = sdtasdt0(smndt0(sz10),sK45(X1,X0)) )
| ~ spl55_105
| ~ spl55_107 ),
inference(resolution,[],[f1101,f1093]) ).
fof(f9126,plain,
( spl55_529
| ~ spl55_84
| ~ spl55_104 ),
inference(avatar_split_clause,[],[f1164,f1088,f948,f9124]) ).
fof(f9124,plain,
( spl55_529
<=> ! [X2,X0,X1] :
( ~ sP14(X0,X1,X2)
| sz00 = sdtpldt0(smndt0(sK40(X0,X1,X2)),sK40(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_529])]) ).
fof(f948,plain,
( spl55_84
<=> ! [X0] :
( sz00 = sdtpldt0(smndt0(X0),X0)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_84])]) ).
fof(f1164,plain,
( ! [X2,X0,X1] :
( ~ sP14(X0,X1,X2)
| sz00 = sdtpldt0(smndt0(sK40(X0,X1,X2)),sK40(X0,X1,X2)) )
| ~ spl55_84
| ~ spl55_104 ),
inference(resolution,[],[f1089,f949]) ).
fof(f949,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(X0),X0) )
| ~ spl55_84 ),
inference(avatar_component_clause,[],[f948]) ).
fof(f9122,plain,
( spl55_528
| ~ spl55_83
| ~ spl55_104 ),
inference(avatar_split_clause,[],[f1163,f1088,f944,f9120]) ).
fof(f9120,plain,
( spl55_528
<=> ! [X2,X0,X1] :
( ~ sP14(X0,X1,X2)
| sz00 = sdtpldt0(sK40(X0,X1,X2),smndt0(sK40(X0,X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_528])]) ).
fof(f944,plain,
( spl55_83
<=> ! [X0] :
( sz00 = sdtpldt0(X0,smndt0(X0))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_83])]) ).
fof(f1163,plain,
( ! [X2,X0,X1] :
( ~ sP14(X0,X1,X2)
| sz00 = sdtpldt0(sK40(X0,X1,X2),smndt0(sK40(X0,X1,X2))) )
| ~ spl55_83
| ~ spl55_104 ),
inference(resolution,[],[f1089,f945]) ).
fof(f945,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(X0,smndt0(X0)) )
| ~ spl55_83 ),
inference(avatar_component_clause,[],[f944]) ).
fof(f9118,plain,
( spl55_527
| ~ spl55_84
| ~ spl55_102 ),
inference(avatar_split_clause,[],[f1154,f1080,f948,f9116]) ).
fof(f9116,plain,
( spl55_527
<=> ! [X2,X0,X1] :
( ~ sP18(X0,X1,X2)
| sz00 = sdtpldt0(smndt0(sK38(X0,X1,X2)),sK38(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_527])]) ).
fof(f1154,plain,
( ! [X2,X0,X1] :
( ~ sP18(X0,X1,X2)
| sz00 = sdtpldt0(smndt0(sK38(X0,X1,X2)),sK38(X0,X1,X2)) )
| ~ spl55_84
| ~ spl55_102 ),
inference(resolution,[],[f1081,f949]) ).
fof(f9114,plain,
( spl55_526
| ~ spl55_83
| ~ spl55_102 ),
inference(avatar_split_clause,[],[f1153,f1080,f944,f9112]) ).
fof(f9112,plain,
( spl55_526
<=> ! [X2,X0,X1] :
( ~ sP18(X0,X1,X2)
| sz00 = sdtpldt0(sK38(X0,X1,X2),smndt0(sK38(X0,X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_526])]) ).
fof(f1153,plain,
( ! [X2,X0,X1] :
( ~ sP18(X0,X1,X2)
| sz00 = sdtpldt0(sK38(X0,X1,X2),smndt0(sK38(X0,X1,X2))) )
| ~ spl55_83
| ~ spl55_102 ),
inference(resolution,[],[f1081,f945]) ).
fof(f9037,plain,
( ~ spl55_119
| spl55_524
| spl55_525
| ~ spl55_91
| ~ spl55_97 ),
inference(avatar_split_clause,[],[f1061,f1057,f978,f9034,f9030,f1218]) ).
fof(f9030,plain,
( spl55_524
<=> sP29(stldt0(sdtbsmnsldt0(xA,xB))) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_524])]) ).
fof(f9034,plain,
( spl55_525
<=> aInteger0(sK50(stldt0(sdtbsmnsldt0(xA,xB)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_525])]) ).
fof(f978,plain,
( spl55_91
<=> ! [X0] :
( sP29(X0)
| aElementOf0(sK50(X0),X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_91])]) ).
fof(f1061,plain,
( aInteger0(sK50(stldt0(sdtbsmnsldt0(xA,xB))))
| sP29(stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
| ~ spl55_91
| ~ spl55_97 ),
inference(resolution,[],[f1058,f979]) ).
fof(f979,plain,
( ! [X0] :
( aElementOf0(sK50(X0),X0)
| sP29(X0)
| ~ aSet0(X0) )
| ~ spl55_91 ),
inference(avatar_component_clause,[],[f978]) ).
fof(f8580,plain,
( spl55_523
| ~ spl55_43
| ~ spl55_194 ),
inference(avatar_split_clause,[],[f1967,f1874,f716,f8578]) ).
fof(f8578,plain,
( spl55_523
<=> ! [X0,X1] :
( aElementOf0(sK53(xB,X0,X1),X1)
| sP32(xB,X0,X1)
| aElementOf0(sK53(xB,X0,X1),cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_523])]) ).
fof(f1967,plain,
( ! [X0,X1] :
( aElementOf0(sK53(xB,X0,X1),X1)
| sP32(xB,X0,X1)
| aElementOf0(sK53(xB,X0,X1),cS1395) )
| ~ spl55_43
| ~ spl55_194 ),
inference(resolution,[],[f1875,f717]) ).
fof(f8576,plain,
( spl55_522
| ~ spl55_133
| ~ spl55_290 ),
inference(avatar_split_clause,[],[f3020,f2953,f1301,f8573]) ).
fof(f8573,plain,
( spl55_522
<=> sz00 = sdtasdt0(sz00,sK39(sK34)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_522])]) ).
fof(f1301,plain,
( spl55_133
<=> sP17(sK34) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_133])]) ).
fof(f2953,plain,
( spl55_290
<=> ! [X0] :
( sz00 = sdtasdt0(sz00,sK39(X0))
| ~ sP17(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_290])]) ).
fof(f3020,plain,
( sz00 = sdtasdt0(sz00,sK39(sK34))
| ~ spl55_133
| ~ spl55_290 ),
inference(resolution,[],[f2954,f1303]) ).
fof(f1303,plain,
( sP17(sK34)
| ~ spl55_133 ),
inference(avatar_component_clause,[],[f1301]) ).
fof(f2954,plain,
( ! [X0] :
( ~ sP17(X0)
| sz00 = sdtasdt0(sz00,sK39(X0)) )
| ~ spl55_290 ),
inference(avatar_component_clause,[],[f2953]) ).
fof(f8571,plain,
( spl55_521
| ~ spl55_42
| ~ spl55_194 ),
inference(avatar_split_clause,[],[f1966,f1874,f712,f8569]) ).
fof(f8569,plain,
( spl55_521
<=> ! [X0,X1] :
( aElementOf0(sK53(xA,X0,X1),X1)
| sP32(xA,X0,X1)
| aElementOf0(sK53(xA,X0,X1),cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_521])]) ).
fof(f1966,plain,
( ! [X0,X1] :
( aElementOf0(sK53(xA,X0,X1),X1)
| sP32(xA,X0,X1)
| aElementOf0(sK53(xA,X0,X1),cS1395) )
| ~ spl55_42
| ~ spl55_194 ),
inference(resolution,[],[f1875,f713]) ).
fof(f8567,plain,
( spl55_520
| ~ spl55_43
| ~ spl55_194 ),
inference(avatar_split_clause,[],[f1946,f1874,f716,f8565]) ).
fof(f8565,plain,
( spl55_520
<=> ! [X0,X1] :
( aElementOf0(sK53(X0,X1,xB),X0)
| sP32(X0,X1,xB)
| aElementOf0(sK53(X0,X1,xB),cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_520])]) ).
fof(f1946,plain,
( ! [X0,X1] :
( aElementOf0(sK53(X0,X1,xB),X0)
| sP32(X0,X1,xB)
| aElementOf0(sK53(X0,X1,xB),cS1395) )
| ~ spl55_43
| ~ spl55_194 ),
inference(resolution,[],[f1875,f717]) ).
fof(f8563,plain,
( spl55_519
| ~ spl55_42
| ~ spl55_194 ),
inference(avatar_split_clause,[],[f1945,f1874,f712,f8561]) ).
fof(f8561,plain,
( spl55_519
<=> ! [X0,X1] :
( aElementOf0(sK53(X0,X1,xA),X0)
| sP32(X0,X1,xA)
| aElementOf0(sK53(X0,X1,xA),cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_519])]) ).
fof(f1945,plain,
( ! [X0,X1] :
( aElementOf0(sK53(X0,X1,xA),X0)
| sP32(X0,X1,xA)
| aElementOf0(sK53(X0,X1,xA),cS1395) )
| ~ spl55_42
| ~ spl55_194 ),
inference(resolution,[],[f1875,f713]) ).
fof(f8559,plain,
( spl55_518
| ~ spl55_43
| ~ spl55_193 ),
inference(avatar_split_clause,[],[f1924,f1870,f716,f8557]) ).
fof(f8557,plain,
( spl55_518
<=> ! [X0,X1] :
( aElementOf0(sK53(X0,xB,X1),X1)
| sP32(X0,xB,X1)
| aElementOf0(sK53(X0,xB,X1),cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_518])]) ).
fof(f1924,plain,
( ! [X0,X1] :
( aElementOf0(sK53(X0,xB,X1),X1)
| sP32(X0,xB,X1)
| aElementOf0(sK53(X0,xB,X1),cS1395) )
| ~ spl55_43
| ~ spl55_193 ),
inference(resolution,[],[f1871,f717]) ).
fof(f8555,plain,
( spl55_517
| ~ spl55_42
| ~ spl55_193 ),
inference(avatar_split_clause,[],[f1923,f1870,f712,f8553]) ).
fof(f8553,plain,
( spl55_517
<=> ! [X0,X1] :
( aElementOf0(sK53(X0,xA,X1),X1)
| sP32(X0,xA,X1)
| aElementOf0(sK53(X0,xA,X1),cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_517])]) ).
fof(f1923,plain,
( ! [X0,X1] :
( aElementOf0(sK53(X0,xA,X1),X1)
| sP32(X0,xA,X1)
| aElementOf0(sK53(X0,xA,X1),cS1395) )
| ~ spl55_42
| ~ spl55_193 ),
inference(resolution,[],[f1871,f713]) ).
fof(f8551,plain,
( spl55_516
| ~ spl55_43
| ~ spl55_193 ),
inference(avatar_split_clause,[],[f1903,f1870,f716,f8549]) ).
fof(f8549,plain,
( spl55_516
<=> ! [X0,X1] :
( aElementOf0(sK53(X0,X1,xB),X1)
| sP32(X0,X1,xB)
| aElementOf0(sK53(X0,X1,xB),cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_516])]) ).
fof(f1903,plain,
( ! [X0,X1] :
( aElementOf0(sK53(X0,X1,xB),X1)
| sP32(X0,X1,xB)
| aElementOf0(sK53(X0,X1,xB),cS1395) )
| ~ spl55_43
| ~ spl55_193 ),
inference(resolution,[],[f1871,f717]) ).
fof(f8547,plain,
( spl55_515
| ~ spl55_42
| ~ spl55_193 ),
inference(avatar_split_clause,[],[f1902,f1870,f712,f8545]) ).
fof(f8545,plain,
( spl55_515
<=> ! [X0,X1] :
( aElementOf0(sK53(X0,X1,xA),X1)
| sP32(X0,X1,xA)
| aElementOf0(sK53(X0,X1,xA),cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_515])]) ).
fof(f1902,plain,
( ! [X0,X1] :
( aElementOf0(sK53(X0,X1,xA),X1)
| sP32(X0,X1,xA)
| aElementOf0(sK53(X0,X1,xA),cS1395) )
| ~ spl55_42
| ~ spl55_193 ),
inference(resolution,[],[f1871,f713]) ).
fof(f8543,plain,
( spl55_514
| ~ spl55_61
| ~ spl55_170 ),
inference(avatar_split_clause,[],[f1650,f1586,f800,f8541]) ).
fof(f8541,plain,
( spl55_514
<=> ! [X0] :
( aElementOf0(sK48(X0,stldt0(xB)),X0)
| sP28(X0,stldt0(xB))
| ~ aElementOf0(sK47(X0,stldt0(xB)),xB) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_514])]) ).
fof(f800,plain,
( spl55_61
<=> ! [X1] :
( ~ aElementOf0(X1,xB)
| ~ aElementOf0(X1,stldt0(xB)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_61])]) ).
fof(f1650,plain,
( ! [X0] :
( aElementOf0(sK48(X0,stldt0(xB)),X0)
| sP28(X0,stldt0(xB))
| ~ aElementOf0(sK47(X0,stldt0(xB)),xB) )
| ~ spl55_61
| ~ spl55_170 ),
inference(resolution,[],[f1587,f801]) ).
fof(f801,plain,
( ! [X1] :
( ~ aElementOf0(X1,stldt0(xB))
| ~ aElementOf0(X1,xB) )
| ~ spl55_61 ),
inference(avatar_component_clause,[],[f800]) ).
fof(f8539,plain,
( spl55_513
| ~ spl55_60
| ~ spl55_170 ),
inference(avatar_split_clause,[],[f1647,f1586,f796,f8537]) ).
fof(f8537,plain,
( spl55_513
<=> ! [X0] :
( aElementOf0(sK48(X0,stldt0(xA)),X0)
| sP28(X0,stldt0(xA))
| ~ aElementOf0(sK47(X0,stldt0(xA)),xA) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_513])]) ).
fof(f796,plain,
( spl55_60
<=> ! [X3] :
( ~ aElementOf0(X3,xA)
| ~ aElementOf0(X3,stldt0(xA)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_60])]) ).
fof(f1647,plain,
( ! [X0] :
( aElementOf0(sK48(X0,stldt0(xA)),X0)
| sP28(X0,stldt0(xA))
| ~ aElementOf0(sK47(X0,stldt0(xA)),xA) )
| ~ spl55_60
| ~ spl55_170 ),
inference(resolution,[],[f1587,f797]) ).
fof(f797,plain,
( ! [X3] :
( ~ aElementOf0(X3,stldt0(xA))
| ~ aElementOf0(X3,xA) )
| ~ spl55_60 ),
inference(avatar_component_clause,[],[f796]) ).
fof(f8535,plain,
( spl55_512
| ~ spl55_61
| ~ spl55_170 ),
inference(avatar_split_clause,[],[f1629,f1586,f800,f8533]) ).
fof(f8533,plain,
( spl55_512
<=> ! [X0] :
( aElementOf0(sK47(stldt0(xB),X0),X0)
| sP28(stldt0(xB),X0)
| ~ aElementOf0(sK48(stldt0(xB),X0),xB) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_512])]) ).
fof(f1629,plain,
( ! [X0] :
( aElementOf0(sK47(stldt0(xB),X0),X0)
| sP28(stldt0(xB),X0)
| ~ aElementOf0(sK48(stldt0(xB),X0),xB) )
| ~ spl55_61
| ~ spl55_170 ),
inference(resolution,[],[f1587,f801]) ).
fof(f8531,plain,
( spl55_511
| ~ spl55_143
| ~ spl55_289 ),
inference(avatar_split_clause,[],[f3018,f2949,f1343,f8528]) ).
fof(f8528,plain,
( spl55_511
<=> sz00 = sdtasdt0(sz00,sK37(sK34)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_511])]) ).
fof(f1343,plain,
( spl55_143
<=> sP21(sK34) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_143])]) ).
fof(f2949,plain,
( spl55_289
<=> ! [X0] :
( sz00 = sdtasdt0(sz00,sK37(X0))
| ~ sP21(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_289])]) ).
fof(f3018,plain,
( sz00 = sdtasdt0(sz00,sK37(sK34))
| ~ spl55_143
| ~ spl55_289 ),
inference(resolution,[],[f2950,f1345]) ).
fof(f1345,plain,
( sP21(sK34)
| ~ spl55_143 ),
inference(avatar_component_clause,[],[f1343]) ).
fof(f2950,plain,
( ! [X0] :
( ~ sP21(X0)
| sz00 = sdtasdt0(sz00,sK37(X0)) )
| ~ spl55_289 ),
inference(avatar_component_clause,[],[f2949]) ).
fof(f8526,plain,
( spl55_510
| ~ spl55_60
| ~ spl55_170 ),
inference(avatar_split_clause,[],[f1626,f1586,f796,f8524]) ).
fof(f8524,plain,
( spl55_510
<=> ! [X0] :
( aElementOf0(sK47(stldt0(xA),X0),X0)
| sP28(stldt0(xA),X0)
| ~ aElementOf0(sK48(stldt0(xA),X0),xA) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_510])]) ).
fof(f1626,plain,
( ! [X0] :
( aElementOf0(sK47(stldt0(xA),X0),X0)
| sP28(stldt0(xA),X0)
| ~ aElementOf0(sK48(stldt0(xA),X0),xA) )
| ~ spl55_60
| ~ spl55_170 ),
inference(resolution,[],[f1587,f797]) ).
fof(f8026,plain,
( spl55_509
| ~ spl55_133
| ~ spl55_286 ),
inference(avatar_split_clause,[],[f3000,f2936,f1301,f8023]) ).
fof(f8023,plain,
( spl55_509
<=> sz00 = sdtasdt0(sK39(sK34),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_509])]) ).
fof(f2936,plain,
( spl55_286
<=> ! [X0] :
( sz00 = sdtasdt0(sK39(X0),sz00)
| ~ sP17(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_286])]) ).
fof(f3000,plain,
( sz00 = sdtasdt0(sK39(sK34),sz00)
| ~ spl55_133
| ~ spl55_286 ),
inference(resolution,[],[f2937,f1303]) ).
fof(f2937,plain,
( ! [X0] :
( ~ sP17(X0)
| sz00 = sdtasdt0(sK39(X0),sz00) )
| ~ spl55_286 ),
inference(avatar_component_clause,[],[f2936]) ).
fof(f7695,plain,
( spl55_508
| ~ spl55_116
| ~ spl55_286 ),
inference(avatar_split_clause,[],[f2999,f2936,f1136,f7692]) ).
fof(f7692,plain,
( spl55_508
<=> sz00 = sdtasdt0(sK39(sK36),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_508])]) ).
fof(f1136,plain,
( spl55_116
<=> sP17(sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_116])]) ).
fof(f2999,plain,
( sz00 = sdtasdt0(sK39(sK36),sz00)
| ~ spl55_116
| ~ spl55_286 ),
inference(resolution,[],[f2937,f1138]) ).
fof(f1138,plain,
( sP17(sK36)
| ~ spl55_116 ),
inference(avatar_component_clause,[],[f1136]) ).
fof(f7653,plain,
( ~ spl55_190
| ~ spl55_100
| ~ spl55_134
| spl55_252 ),
inference(avatar_split_clause,[],[f2633,f2629,f1306,f1071,f1789]) ).
fof(f1306,plain,
( spl55_134
<=> ! [X0] :
( aElementOf0(X0,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(X0)
| ~ aElementOf0(X0,xB) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_134])]) ).
fof(f2633,plain,
( ~ aInteger0(sK34)
| ~ aElementOf0(sK34,xB)
| ~ spl55_134
| spl55_252 ),
inference(resolution,[],[f2631,f1307]) ).
fof(f1307,plain,
( ! [X0] :
( aElementOf0(X0,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(X0)
| ~ aElementOf0(X0,xB) )
| ~ spl55_134 ),
inference(avatar_component_clause,[],[f1306]) ).
fof(f2631,plain,
( ~ aElementOf0(sK34,sdtbsmnsldt0(xA,xB))
| spl55_252 ),
inference(avatar_component_clause,[],[f2629]) ).
fof(f7652,plain,
( spl55_507
| ~ spl55_100
| ~ spl55_200 ),
inference(avatar_split_clause,[],[f2046,f1990,f1071,f7650]) ).
fof(f7650,plain,
( spl55_507
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,sK34)) = sdtasdt0(sdtasdt0(X0,X1),sK34)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_507])]) ).
fof(f2046,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,sK34)) = sdtasdt0(sdtasdt0(X0,X1),sK34)
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl55_100
| ~ spl55_200 ),
inference(resolution,[],[f1991,f1073]) ).
fof(f7648,plain,
( spl55_506
| ~ spl55_15
| ~ spl55_200 ),
inference(avatar_split_clause,[],[f2041,f1990,f578,f7646]) ).
fof(f7646,plain,
( spl55_506
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sz10) = sdtasdt0(X0,sdtasdt0(X1,sz10))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_506])]) ).
fof(f2041,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sz10) = sdtasdt0(X0,sdtasdt0(X1,sz10))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl55_15
| ~ spl55_200 ),
inference(resolution,[],[f1991,f580]) ).
fof(f7644,plain,
( spl55_505
| ~ spl55_16
| ~ spl55_200 ),
inference(avatar_split_clause,[],[f2040,f1990,f583,f7642]) ).
fof(f7642,plain,
( spl55_505
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sz00) = sdtasdt0(X0,sdtasdt0(X1,sz00))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_505])]) ).
fof(f2040,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sz00) = sdtasdt0(X0,sdtasdt0(X1,sz00))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl55_16
| ~ spl55_200 ),
inference(resolution,[],[f1991,f585]) ).
fof(f7617,plain,
( spl55_504
| ~ spl55_143
| ~ spl55_285 ),
inference(avatar_split_clause,[],[f2998,f2932,f1343,f7614]) ).
fof(f7614,plain,
( spl55_504
<=> sz00 = sdtasdt0(sK37(sK34),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_504])]) ).
fof(f2932,plain,
( spl55_285
<=> ! [X0] :
( sz00 = sdtasdt0(sK37(X0),sz00)
| ~ sP21(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_285])]) ).
fof(f2998,plain,
( sz00 = sdtasdt0(sK37(sK34),sz00)
| ~ spl55_143
| ~ spl55_285 ),
inference(resolution,[],[f2933,f1345]) ).
fof(f2933,plain,
( ! [X0] :
( ~ sP21(X0)
| sz00 = sdtasdt0(sK37(X0),sz00) )
| ~ spl55_285 ),
inference(avatar_component_clause,[],[f2932]) ).
fof(f7612,plain,
( spl55_503
| ~ spl55_100
| ~ spl55_199 ),
inference(avatar_split_clause,[],[f2033,f1986,f1071,f7610]) ).
fof(f7610,plain,
( spl55_503
<=> ! [X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,sK34)) = sdtpldt0(sdtpldt0(X0,X1),sK34)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_503])]) ).
fof(f2033,plain,
( ! [X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,sK34)) = sdtpldt0(sdtpldt0(X0,X1),sK34)
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl55_100
| ~ spl55_199 ),
inference(resolution,[],[f1987,f1073]) ).
fof(f7608,plain,
( spl55_502
| ~ spl55_15
| ~ spl55_199 ),
inference(avatar_split_clause,[],[f2028,f1986,f578,f7606]) ).
fof(f7606,plain,
( spl55_502
<=> ! [X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,sz10)) = sdtpldt0(sdtpldt0(X0,X1),sz10)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_502])]) ).
fof(f2028,plain,
( ! [X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,sz10)) = sdtpldt0(sdtpldt0(X0,X1),sz10)
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl55_15
| ~ spl55_199 ),
inference(resolution,[],[f1987,f580]) ).
fof(f7604,plain,
( spl55_501
| ~ spl55_16
| ~ spl55_199 ),
inference(avatar_split_clause,[],[f2027,f1986,f583,f7602]) ).
fof(f7602,plain,
( spl55_501
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(X0,sdtpldt0(X1,sz00))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_501])]) ).
fof(f2027,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(X0,sdtpldt0(X1,sz00))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl55_16
| ~ spl55_199 ),
inference(resolution,[],[f1987,f585]) ).
fof(f7600,plain,
( spl55_500
| ~ spl55_97
| ~ spl55_189 ),
inference(avatar_split_clause,[],[f1856,f1784,f1057,f7598]) ).
fof(f7598,plain,
( spl55_500
<=> ! [X0,X1] :
( aInteger0(sK54(X0,X1,stldt0(sdtbsmnsldt0(xA,xB))))
| sP33(X0,X1,stldt0(sdtbsmnsldt0(xA,xB))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_500])]) ).
fof(f1784,plain,
( spl55_189
<=> ! [X2,X0,X1] :
( sP33(X0,X1,X2)
| aInteger0(sK54(X0,X1,X2))
| aElementOf0(sK54(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_189])]) ).
fof(f1856,plain,
( ! [X0,X1] :
( aInteger0(sK54(X0,X1,stldt0(sdtbsmnsldt0(xA,xB))))
| sP33(X0,X1,stldt0(sdtbsmnsldt0(xA,xB))) )
| ~ spl55_97
| ~ spl55_189 ),
inference(duplicate_literal_removal,[],[f1843]) ).
fof(f1843,plain,
( ! [X0,X1] :
( aInteger0(sK54(X0,X1,stldt0(sdtbsmnsldt0(xA,xB))))
| sP33(X0,X1,stldt0(sdtbsmnsldt0(xA,xB)))
| aInteger0(sK54(X0,X1,stldt0(sdtbsmnsldt0(xA,xB)))) )
| ~ spl55_97
| ~ spl55_189 ),
inference(resolution,[],[f1785,f1058]) ).
fof(f1785,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK54(X0,X1,X2),X2)
| aInteger0(sK54(X0,X1,X2))
| sP33(X0,X1,X2) )
| ~ spl55_189 ),
inference(avatar_component_clause,[],[f1784]) ).
fof(f7596,plain,
( spl55_499
| ~ spl55_97
| ~ spl55_188 ),
inference(avatar_split_clause,[],[f1828,f1780,f1057,f7594]) ).
fof(f7594,plain,
( spl55_499
<=> ! [X0,X1] :
( aInteger0(sK53(X0,X1,stldt0(sdtbsmnsldt0(xA,xB))))
| sP32(X0,X1,stldt0(sdtbsmnsldt0(xA,xB))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_499])]) ).
fof(f1780,plain,
( spl55_188
<=> ! [X2,X0,X1] :
( sP32(X0,X1,X2)
| aInteger0(sK53(X0,X1,X2))
| aElementOf0(sK53(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_188])]) ).
fof(f1828,plain,
( ! [X0,X1] :
( aInteger0(sK53(X0,X1,stldt0(sdtbsmnsldt0(xA,xB))))
| sP32(X0,X1,stldt0(sdtbsmnsldt0(xA,xB))) )
| ~ spl55_97
| ~ spl55_188 ),
inference(duplicate_literal_removal,[],[f1815]) ).
fof(f1815,plain,
( ! [X0,X1] :
( aInteger0(sK53(X0,X1,stldt0(sdtbsmnsldt0(xA,xB))))
| sP32(X0,X1,stldt0(sdtbsmnsldt0(xA,xB)))
| aInteger0(sK53(X0,X1,stldt0(sdtbsmnsldt0(xA,xB)))) )
| ~ spl55_97
| ~ spl55_188 ),
inference(resolution,[],[f1781,f1058]) ).
fof(f1781,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK53(X0,X1,X2),X2)
| aInteger0(sK53(X0,X1,X2))
| sP32(X0,X1,X2) )
| ~ spl55_188 ),
inference(avatar_component_clause,[],[f1780]) ).
fof(f7539,plain,
( ~ spl55_118
| spl55_498
| ~ spl55_82
| ~ spl55_176 ),
inference(avatar_split_clause,[],[f1739,f1684,f939,f7537,f1213]) ).
fof(f7537,plain,
( spl55_498
<=> ! [X0] :
( aInteger0(sK46(X0,sdtbsmnsldt0(xA,xB)))
| sP26(X0,sdtbsmnsldt0(xA,xB)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_498])]) ).
fof(f1739,plain,
( ! [X0] :
( aInteger0(sK46(X0,sdtbsmnsldt0(xA,xB)))
| sP26(X0,sdtbsmnsldt0(xA,xB))
| ~ aSet0(sdtbsmnsldt0(xA,xB)) )
| ~ spl55_82
| ~ spl55_176 ),
inference(duplicate_literal_removal,[],[f1715]) ).
fof(f1715,plain,
( ! [X0] :
( aInteger0(sK46(X0,sdtbsmnsldt0(xA,xB)))
| sP26(X0,sdtbsmnsldt0(xA,xB))
| ~ aSet0(sdtbsmnsldt0(xA,xB))
| aInteger0(sK46(X0,sdtbsmnsldt0(xA,xB))) )
| ~ spl55_82
| ~ spl55_176 ),
inference(resolution,[],[f1685,f940]) ).
fof(f7535,plain,
( spl55_497
| ~ spl55_85
| ~ spl55_168 ),
inference(avatar_split_clause,[],[f1618,f1578,f952,f7533]) ).
fof(f7533,plain,
( spl55_497
<=> ! [X0] :
( smndt0(sz10) = X0
| sz10 = X0
| ~ aInteger0(X0)
| sP22(X0,sK41(X0))
| ~ sP23(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_497])]) ).
fof(f952,plain,
( spl55_85
<=> ! [X0,X1] :
( sP22(X0,X1)
| ~ aDivisorOf0(X1,X0)
| ~ sP23(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_85])]) ).
fof(f1578,plain,
( spl55_168
<=> ! [X0] :
( aDivisorOf0(sK41(X0),X0)
| smndt0(sz10) = X0
| sz10 = X0
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_168])]) ).
fof(f1618,plain,
( ! [X0] :
( smndt0(sz10) = X0
| sz10 = X0
| ~ aInteger0(X0)
| sP22(X0,sK41(X0))
| ~ sP23(X0) )
| ~ spl55_85
| ~ spl55_168 ),
inference(resolution,[],[f1579,f953]) ).
fof(f953,plain,
( ! [X0,X1] :
( ~ aDivisorOf0(X1,X0)
| sP22(X0,X1)
| ~ sP23(X0) )
| ~ spl55_85 ),
inference(avatar_component_clause,[],[f952]) ).
fof(f1579,plain,
( ! [X0] :
( aDivisorOf0(sK41(X0),X0)
| smndt0(sz10) = X0
| sz10 = X0
| ~ aInteger0(X0) )
| ~ spl55_168 ),
inference(avatar_component_clause,[],[f1578]) ).
fof(f7531,plain,
( spl55_496
| ~ spl55_54
| ~ spl55_150 ),
inference(avatar_split_clause,[],[f1488,f1420,f762,f7529]) ).
fof(f7529,plain,
( spl55_496
<=> ! [X0] :
( aElementOf0(sK44(szAzrzSzezqlpdtcmdtrp0(X0,sK39(X0))),stldt0(xA))
| ~ sP17(X0)
| sP24(szAzrzSzezqlpdtcmdtrp0(X0,sK39(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_496])]) ).
fof(f1488,plain,
( ! [X0] :
( aElementOf0(sK44(szAzrzSzezqlpdtcmdtrp0(X0,sK39(X0))),stldt0(xA))
| ~ sP17(X0)
| sP24(szAzrzSzezqlpdtcmdtrp0(X0,sK39(X0))) )
| ~ spl55_54
| ~ spl55_150 ),
inference(resolution,[],[f1421,f763]) ).
fof(f7527,plain,
( spl55_495
| ~ spl55_54
| ~ spl55_149 ),
inference(avatar_split_clause,[],[f1485,f1416,f762,f7525]) ).
fof(f7525,plain,
( spl55_495
<=> ! [X0] :
( aElementOf0(sK44(szAzrzSzezqlpdtcmdtrp0(X0,sK37(X0))),stldt0(xB))
| ~ sP21(X0)
| sP24(szAzrzSzezqlpdtcmdtrp0(X0,sK37(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_495])]) ).
fof(f1485,plain,
( ! [X0] :
( aElementOf0(sK44(szAzrzSzezqlpdtcmdtrp0(X0,sK37(X0))),stldt0(xB))
| ~ sP21(X0)
| sP24(szAzrzSzezqlpdtcmdtrp0(X0,sK37(X0))) )
| ~ spl55_54
| ~ spl55_149 ),
inference(resolution,[],[f1417,f763]) ).
fof(f7523,plain,
( spl55_494
| ~ spl55_67
| ~ spl55_221 ),
inference(avatar_split_clause,[],[f2389,f2379,f827,f7520]) ).
fof(f7520,plain,
( spl55_494
<=> sz00 = sdtasdt0(sz00,sK44(cS1395)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_494])]) ).
fof(f827,plain,
( spl55_67
<=> ! [X0] :
( sz00 = sdtasdt0(sz00,X0)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_67])]) ).
fof(f2379,plain,
( spl55_221
<=> aInteger0(sK44(cS1395)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_221])]) ).
fof(f2389,plain,
( sz00 = sdtasdt0(sz00,sK44(cS1395))
| ~ spl55_67
| ~ spl55_221 ),
inference(resolution,[],[f2381,f828]) ).
fof(f828,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sz00,X0) )
| ~ spl55_67 ),
inference(avatar_component_clause,[],[f827]) ).
fof(f2381,plain,
( aInteger0(sK44(cS1395))
| ~ spl55_221 ),
inference(avatar_component_clause,[],[f2379]) ).
fof(f7518,plain,
( spl55_493
| ~ spl55_84
| ~ spl55_107 ),
inference(avatar_split_clause,[],[f1193,f1100,f948,f7516]) ).
fof(f7516,plain,
( spl55_493
<=> ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP24(X1)
| sz00 = sdtpldt0(smndt0(sK45(X1,X0)),sK45(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_493])]) ).
fof(f1193,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP24(X1)
| sz00 = sdtpldt0(smndt0(sK45(X1,X0)),sK45(X1,X0)) )
| ~ spl55_84
| ~ spl55_107 ),
inference(resolution,[],[f1101,f949]) ).
fof(f7514,plain,
( spl55_492
| ~ spl55_83
| ~ spl55_107 ),
inference(avatar_split_clause,[],[f1192,f1100,f944,f7512]) ).
fof(f7512,plain,
( spl55_492
<=> ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP24(X1)
| sz00 = sdtpldt0(sK45(X1,X0),smndt0(sK45(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_492])]) ).
fof(f1192,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP24(X1)
| sz00 = sdtpldt0(sK45(X1,X0),smndt0(sK45(X1,X0))) )
| ~ spl55_83
| ~ spl55_107 ),
inference(resolution,[],[f1101,f945]) ).
fof(f7510,plain,
( spl55_491
| ~ spl55_94
| ~ spl55_106 ),
inference(avatar_split_clause,[],[f1179,f1096,f990,f7508]) ).
fof(f7508,plain,
( spl55_491
<=> ! [X0,X1] :
( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(X0,X1),smndt0(sz10))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_491])]) ).
fof(f1179,plain,
( ! [X0,X1] :
( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(X0,X1),smndt0(sz10))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl55_94
| ~ spl55_106 ),
inference(resolution,[],[f1097,f991]) ).
fof(f7506,plain,
( spl55_490
| ~ spl55_93
| ~ spl55_106 ),
inference(avatar_split_clause,[],[f1178,f1096,f986,f7504]) ).
fof(f7504,plain,
( spl55_490
<=> ! [X0,X1] :
( smndt0(sdtpldt0(X0,X1)) = sdtasdt0(sdtpldt0(X0,X1),smndt0(sz10))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_490])]) ).
fof(f1178,plain,
( ! [X0,X1] :
( smndt0(sdtpldt0(X0,X1)) = sdtasdt0(sdtpldt0(X0,X1),smndt0(sz10))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl55_93
| ~ spl55_106 ),
inference(resolution,[],[f1097,f987]) ).
fof(f7502,plain,
( spl55_489
| ~ spl55_94
| ~ spl55_105 ),
inference(avatar_split_clause,[],[f1169,f1092,f990,f7500]) ).
fof(f7500,plain,
( spl55_489
<=> ! [X0,X1] :
( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(sz10),sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_489])]) ).
fof(f1169,plain,
( ! [X0,X1] :
( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(sz10),sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl55_94
| ~ spl55_105 ),
inference(resolution,[],[f1093,f991]) ).
fof(f7498,plain,
( spl55_488
| ~ spl55_93
| ~ spl55_105 ),
inference(avatar_split_clause,[],[f1168,f1092,f986,f7496]) ).
fof(f7496,plain,
( spl55_488
<=> ! [X0,X1] :
( smndt0(sdtpldt0(X0,X1)) = sdtasdt0(smndt0(sz10),sdtpldt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_488])]) ).
fof(f1168,plain,
( ! [X0,X1] :
( smndt0(sdtpldt0(X0,X1)) = sdtasdt0(smndt0(sz10),sdtpldt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl55_93
| ~ spl55_105 ),
inference(resolution,[],[f1093,f987]) ).
fof(f7494,plain,
( spl55_487
| ~ spl55_72
| ~ spl55_104 ),
inference(avatar_split_clause,[],[f1162,f1088,f848,f7492]) ).
fof(f7492,plain,
( spl55_487
<=> ! [X2,X0,X1] :
( ~ sP14(X0,X1,X2)
| sK40(X0,X1,X2) = sdtasdt0(sz10,sK40(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_487])]) ).
fof(f848,plain,
( spl55_72
<=> ! [X0] :
( sdtasdt0(sz10,X0) = X0
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_72])]) ).
fof(f1162,plain,
( ! [X2,X0,X1] :
( ~ sP14(X0,X1,X2)
| sK40(X0,X1,X2) = sdtasdt0(sz10,sK40(X0,X1,X2)) )
| ~ spl55_72
| ~ spl55_104 ),
inference(resolution,[],[f1089,f849]) ).
fof(f849,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sz10,X0) = X0 )
| ~ spl55_72 ),
inference(avatar_component_clause,[],[f848]) ).
fof(f7490,plain,
( spl55_486
| ~ spl55_71
| ~ spl55_104 ),
inference(avatar_split_clause,[],[f1161,f1088,f844,f7488]) ).
fof(f7488,plain,
( spl55_486
<=> ! [X2,X0,X1] :
( ~ sP14(X0,X1,X2)
| sK40(X0,X1,X2) = sdtasdt0(sK40(X0,X1,X2),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_486])]) ).
fof(f844,plain,
( spl55_71
<=> ! [X0] :
( sdtasdt0(X0,sz10) = X0
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_71])]) ).
fof(f1161,plain,
( ! [X2,X0,X1] :
( ~ sP14(X0,X1,X2)
| sK40(X0,X1,X2) = sdtasdt0(sK40(X0,X1,X2),sz10) )
| ~ spl55_71
| ~ spl55_104 ),
inference(resolution,[],[f1089,f845]) ).
fof(f845,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,sz10) = X0 )
| ~ spl55_71 ),
inference(avatar_component_clause,[],[f844]) ).
fof(f7486,plain,
( spl55_485
| ~ spl55_70
| ~ spl55_104 ),
inference(avatar_split_clause,[],[f1160,f1088,f840,f7484]) ).
fof(f7484,plain,
( spl55_485
<=> ! [X2,X0,X1] :
( ~ sP14(X0,X1,X2)
| sK40(X0,X1,X2) = sdtpldt0(sz00,sK40(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_485])]) ).
fof(f840,plain,
( spl55_70
<=> ! [X0] :
( sdtpldt0(sz00,X0) = X0
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_70])]) ).
fof(f1160,plain,
( ! [X2,X0,X1] :
( ~ sP14(X0,X1,X2)
| sK40(X0,X1,X2) = sdtpldt0(sz00,sK40(X0,X1,X2)) )
| ~ spl55_70
| ~ spl55_104 ),
inference(resolution,[],[f1089,f841]) ).
fof(f841,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz00,X0) = X0 )
| ~ spl55_70 ),
inference(avatar_component_clause,[],[f840]) ).
fof(f7482,plain,
( spl55_484
| ~ spl55_69
| ~ spl55_104 ),
inference(avatar_split_clause,[],[f1159,f1088,f836,f7480]) ).
fof(f7480,plain,
( spl55_484
<=> ! [X2,X0,X1] :
( ~ sP14(X0,X1,X2)
| sK40(X0,X1,X2) = sdtpldt0(sK40(X0,X1,X2),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_484])]) ).
fof(f836,plain,
( spl55_69
<=> ! [X0] :
( sdtpldt0(X0,sz00) = X0
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_69])]) ).
fof(f1159,plain,
( ! [X2,X0,X1] :
( ~ sP14(X0,X1,X2)
| sK40(X0,X1,X2) = sdtpldt0(sK40(X0,X1,X2),sz00) )
| ~ spl55_69
| ~ spl55_104 ),
inference(resolution,[],[f1089,f837]) ).
fof(f837,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sz00) = X0 )
| ~ spl55_69 ),
inference(avatar_component_clause,[],[f836]) ).
fof(f7478,plain,
( spl55_483
| ~ spl55_66
| ~ spl55_221 ),
inference(avatar_split_clause,[],[f2388,f2379,f823,f7475]) ).
fof(f7475,plain,
( spl55_483
<=> sz00 = sdtasdt0(sK44(cS1395),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_483])]) ).
fof(f823,plain,
( spl55_66
<=> ! [X0] :
( sz00 = sdtasdt0(X0,sz00)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_66])]) ).
fof(f2388,plain,
( sz00 = sdtasdt0(sK44(cS1395),sz00)
| ~ spl55_66
| ~ spl55_221 ),
inference(resolution,[],[f2381,f824]) ).
fof(f824,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(X0,sz00) )
| ~ spl55_66 ),
inference(avatar_component_clause,[],[f823]) ).
fof(f7473,plain,
( spl55_482
| ~ spl55_72
| ~ spl55_102 ),
inference(avatar_split_clause,[],[f1152,f1080,f848,f7471]) ).
fof(f7471,plain,
( spl55_482
<=> ! [X2,X0,X1] :
( ~ sP18(X0,X1,X2)
| sK38(X0,X1,X2) = sdtasdt0(sz10,sK38(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_482])]) ).
fof(f1152,plain,
( ! [X2,X0,X1] :
( ~ sP18(X0,X1,X2)
| sK38(X0,X1,X2) = sdtasdt0(sz10,sK38(X0,X1,X2)) )
| ~ spl55_72
| ~ spl55_102 ),
inference(resolution,[],[f1081,f849]) ).
fof(f7469,plain,
( spl55_481
| ~ spl55_71
| ~ spl55_102 ),
inference(avatar_split_clause,[],[f1151,f1080,f844,f7467]) ).
fof(f7467,plain,
( spl55_481
<=> ! [X2,X0,X1] :
( ~ sP18(X0,X1,X2)
| sK38(X0,X1,X2) = sdtasdt0(sK38(X0,X1,X2),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_481])]) ).
fof(f1151,plain,
( ! [X2,X0,X1] :
( ~ sP18(X0,X1,X2)
| sK38(X0,X1,X2) = sdtasdt0(sK38(X0,X1,X2),sz10) )
| ~ spl55_71
| ~ spl55_102 ),
inference(resolution,[],[f1081,f845]) ).
fof(f7465,plain,
( spl55_480
| ~ spl55_70
| ~ spl55_102 ),
inference(avatar_split_clause,[],[f1150,f1080,f840,f7463]) ).
fof(f7463,plain,
( spl55_480
<=> ! [X2,X0,X1] :
( ~ sP18(X0,X1,X2)
| sK38(X0,X1,X2) = sdtpldt0(sz00,sK38(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_480])]) ).
fof(f1150,plain,
( ! [X2,X0,X1] :
( ~ sP18(X0,X1,X2)
| sK38(X0,X1,X2) = sdtpldt0(sz00,sK38(X0,X1,X2)) )
| ~ spl55_70
| ~ spl55_102 ),
inference(resolution,[],[f1081,f841]) ).
fof(f7461,plain,
( spl55_479
| ~ spl55_69
| ~ spl55_102 ),
inference(avatar_split_clause,[],[f1149,f1080,f836,f7459]) ).
fof(f7459,plain,
( spl55_479
<=> ! [X2,X0,X1] :
( ~ sP18(X0,X1,X2)
| sK38(X0,X1,X2) = sdtpldt0(sK38(X0,X1,X2),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_479])]) ).
fof(f1149,plain,
( ! [X2,X0,X1] :
( ~ sP18(X0,X1,X2)
| sK38(X0,X1,X2) = sdtpldt0(sK38(X0,X1,X2),sz00) )
| ~ spl55_69
| ~ spl55_102 ),
inference(resolution,[],[f1081,f837]) ).
fof(f7095,plain,
( spl55_478
| ~ spl55_29
| ~ spl55_212 ),
inference(avatar_split_clause,[],[f2234,f2197,f646,f7093]) ).
fof(f7093,plain,
( spl55_478
<=> ! [X0,X1] :
( ~ aElementOf0(sK54(X0,X1,cS1395),X0)
| ~ aInteger0(sK54(X0,X1,cS1395))
| sP33(X0,X1,cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_478])]) ).
fof(f646,plain,
( spl55_29
<=> ! [X5] :
( aElementOf0(X5,cS1395)
| ~ aInteger0(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_29])]) ).
fof(f2197,plain,
( spl55_212
<=> ! [X2,X0,X1] :
( sP33(X0,X1,X2)
| ~ aElementOf0(sK54(X0,X1,X2),X0)
| ~ aInteger0(sK54(X0,X1,X2))
| ~ aElementOf0(sK54(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_212])]) ).
fof(f2234,plain,
( ! [X0,X1] :
( ~ aElementOf0(sK54(X0,X1,cS1395),X0)
| ~ aInteger0(sK54(X0,X1,cS1395))
| sP33(X0,X1,cS1395) )
| ~ spl55_29
| ~ spl55_212 ),
inference(duplicate_literal_removal,[],[f2219]) ).
fof(f2219,plain,
( ! [X0,X1] :
( ~ aElementOf0(sK54(X0,X1,cS1395),X0)
| ~ aInteger0(sK54(X0,X1,cS1395))
| sP33(X0,X1,cS1395)
| ~ aInteger0(sK54(X0,X1,cS1395)) )
| ~ spl55_29
| ~ spl55_212 ),
inference(resolution,[],[f2198,f647]) ).
fof(f647,plain,
( ! [X5] :
( aElementOf0(X5,cS1395)
| ~ aInteger0(X5) )
| ~ spl55_29 ),
inference(avatar_component_clause,[],[f646]) ).
fof(f2198,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(sK54(X0,X1,X2),X2)
| ~ aElementOf0(sK54(X0,X1,X2),X0)
| ~ aInteger0(sK54(X0,X1,X2))
| sP33(X0,X1,X2) )
| ~ spl55_212 ),
inference(avatar_component_clause,[],[f2197]) ).
fof(f7091,plain,
( spl55_477
| ~ spl55_29
| ~ spl55_211 ),
inference(avatar_split_clause,[],[f2216,f2193,f646,f7089]) ).
fof(f7089,plain,
( spl55_477
<=> ! [X0,X1] :
( ~ aElementOf0(sK54(X0,X1,cS1395),X1)
| ~ aInteger0(sK54(X0,X1,cS1395))
| sP33(X0,X1,cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_477])]) ).
fof(f2193,plain,
( spl55_211
<=> ! [X2,X0,X1] :
( sP33(X0,X1,X2)
| ~ aElementOf0(sK54(X0,X1,X2),X1)
| ~ aInteger0(sK54(X0,X1,X2))
| ~ aElementOf0(sK54(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_211])]) ).
fof(f2216,plain,
( ! [X0,X1] :
( ~ aElementOf0(sK54(X0,X1,cS1395),X1)
| ~ aInteger0(sK54(X0,X1,cS1395))
| sP33(X0,X1,cS1395) )
| ~ spl55_29
| ~ spl55_211 ),
inference(duplicate_literal_removal,[],[f2201]) ).
fof(f2201,plain,
( ! [X0,X1] :
( ~ aElementOf0(sK54(X0,X1,cS1395),X1)
| ~ aInteger0(sK54(X0,X1,cS1395))
| sP33(X0,X1,cS1395)
| ~ aInteger0(sK54(X0,X1,cS1395)) )
| ~ spl55_29
| ~ spl55_211 ),
inference(resolution,[],[f2194,f647]) ).
fof(f2194,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(sK54(X0,X1,X2),X2)
| ~ aElementOf0(sK54(X0,X1,X2),X1)
| ~ aInteger0(sK54(X0,X1,X2))
| sP33(X0,X1,X2) )
| ~ spl55_211 ),
inference(avatar_component_clause,[],[f2193]) ).
fof(f7087,plain,
( spl55_476
| ~ spl55_29
| ~ spl55_210 ),
inference(avatar_split_clause,[],[f2188,f2167,f646,f7085]) ).
fof(f7085,plain,
( spl55_476
<=> ! [X0,X1] :
( sP28(X0,X1)
| ~ aElementOf0(cS1395,X0)
| ~ aInteger0(sK47(X0,X1))
| ~ aElementOf0(sK47(X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_476])]) ).
fof(f2167,plain,
( spl55_210
<=> ! [X0,X1,X3] :
( sP28(X0,X1)
| ~ aElementOf0(sK47(X0,X1),X3)
| ~ aElementOf0(X3,X0)
| ~ aInteger0(sK47(X0,X1))
| ~ aElementOf0(sK47(X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_210])]) ).
fof(f2188,plain,
( ! [X0,X1] :
( sP28(X0,X1)
| ~ aElementOf0(cS1395,X0)
| ~ aInteger0(sK47(X0,X1))
| ~ aElementOf0(sK47(X0,X1),X1) )
| ~ spl55_29
| ~ spl55_210 ),
inference(duplicate_literal_removal,[],[f2173]) ).
fof(f2173,plain,
( ! [X0,X1] :
( sP28(X0,X1)
| ~ aElementOf0(cS1395,X0)
| ~ aInteger0(sK47(X0,X1))
| ~ aElementOf0(sK47(X0,X1),X1)
| ~ aInteger0(sK47(X0,X1)) )
| ~ spl55_29
| ~ spl55_210 ),
inference(resolution,[],[f2168,f647]) ).
fof(f2168,plain,
( ! [X3,X0,X1] :
( ~ aElementOf0(sK47(X0,X1),X3)
| sP28(X0,X1)
| ~ aElementOf0(X3,X0)
| ~ aInteger0(sK47(X0,X1))
| ~ aElementOf0(sK47(X0,X1),X1) )
| ~ spl55_210 ),
inference(avatar_component_clause,[],[f2167]) ).
fof(f7083,plain,
( spl55_475
| ~ spl55_43
| ~ spl55_189 ),
inference(avatar_split_clause,[],[f1853,f1784,f716,f7081]) ).
fof(f7081,plain,
( spl55_475
<=> ! [X0,X1] :
( aInteger0(sK54(X0,X1,xB))
| sP33(X0,X1,xB)
| aElementOf0(sK54(X0,X1,xB),cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_475])]) ).
fof(f1853,plain,
( ! [X0,X1] :
( aInteger0(sK54(X0,X1,xB))
| sP33(X0,X1,xB)
| aElementOf0(sK54(X0,X1,xB),cS1395) )
| ~ spl55_43
| ~ spl55_189 ),
inference(resolution,[],[f1785,f717]) ).
fof(f7079,plain,
( spl55_474
| ~ spl55_42
| ~ spl55_189 ),
inference(avatar_split_clause,[],[f1852,f1784,f712,f7077]) ).
fof(f7077,plain,
( spl55_474
<=> ! [X0,X1] :
( aInteger0(sK54(X0,X1,xA))
| sP33(X0,X1,xA)
| aElementOf0(sK54(X0,X1,xA),cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_474])]) ).
fof(f1852,plain,
( ! [X0,X1] :
( aInteger0(sK54(X0,X1,xA))
| sP33(X0,X1,xA)
| aElementOf0(sK54(X0,X1,xA),cS1395) )
| ~ spl55_42
| ~ spl55_189 ),
inference(resolution,[],[f1785,f713]) ).
fof(f7075,plain,
( spl55_473
| ~ spl55_43
| ~ spl55_188 ),
inference(avatar_split_clause,[],[f1825,f1780,f716,f7073]) ).
fof(f7073,plain,
( spl55_473
<=> ! [X0,X1] :
( aInteger0(sK53(X0,X1,xB))
| sP32(X0,X1,xB)
| aElementOf0(sK53(X0,X1,xB),cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_473])]) ).
fof(f1825,plain,
( ! [X0,X1] :
( aInteger0(sK53(X0,X1,xB))
| sP32(X0,X1,xB)
| aElementOf0(sK53(X0,X1,xB),cS1395) )
| ~ spl55_43
| ~ spl55_188 ),
inference(resolution,[],[f1781,f717]) ).
fof(f7071,plain,
( spl55_472
| ~ spl55_42
| ~ spl55_188 ),
inference(avatar_split_clause,[],[f1824,f1780,f712,f7069]) ).
fof(f7069,plain,
( spl55_472
<=> ! [X0,X1] :
( aInteger0(sK53(X0,X1,xA))
| sP32(X0,X1,xA)
| aElementOf0(sK53(X0,X1,xA),cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_472])]) ).
fof(f1824,plain,
( ! [X0,X1] :
( aInteger0(sK53(X0,X1,xA))
| sP32(X0,X1,xA)
| aElementOf0(sK53(X0,X1,xA),cS1395) )
| ~ spl55_42
| ~ spl55_188 ),
inference(resolution,[],[f1781,f713]) ).
fof(f7067,plain,
( spl55_471
| ~ spl55_47
| ~ spl55_170 ),
inference(avatar_split_clause,[],[f1651,f1586,f732,f7065]) ).
fof(f7065,plain,
( spl55_471
<=> ! [X0] :
( aElementOf0(sK48(X0,stldt0(xB)),X0)
| sP28(X0,stldt0(xB))
| sP21(sK47(X0,stldt0(xB))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_471])]) ).
fof(f1651,plain,
( ! [X0] :
( aElementOf0(sK48(X0,stldt0(xB)),X0)
| sP28(X0,stldt0(xB))
| sP21(sK47(X0,stldt0(xB))) )
| ~ spl55_47
| ~ spl55_170 ),
inference(resolution,[],[f1587,f733]) ).
fof(f7063,plain,
( spl55_470
| ~ spl55_45
| ~ spl55_170 ),
inference(avatar_split_clause,[],[f1648,f1586,f724,f7061]) ).
fof(f7061,plain,
( spl55_470
<=> ! [X0] :
( aElementOf0(sK48(X0,stldt0(xA)),X0)
| sP28(X0,stldt0(xA))
| sP17(sK47(X0,stldt0(xA))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_470])]) ).
fof(f1648,plain,
( ! [X0] :
( aElementOf0(sK48(X0,stldt0(xA)),X0)
| sP28(X0,stldt0(xA))
| sP17(sK47(X0,stldt0(xA))) )
| ~ spl55_45
| ~ spl55_170 ),
inference(resolution,[],[f1587,f725]) ).
fof(f7059,plain,
( spl55_469
| ~ spl55_46
| ~ spl55_170 ),
inference(avatar_split_clause,[],[f1631,f1586,f728,f7057]) ).
fof(f7057,plain,
( spl55_469
<=> ! [X0] :
( aElementOf0(sK47(stldt0(xB),X0),X0)
| sP28(stldt0(xB),X0)
| aInteger0(sK48(stldt0(xB),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_469])]) ).
fof(f728,plain,
( spl55_46
<=> ! [X1] :
( aInteger0(X1)
| ~ aElementOf0(X1,stldt0(xB)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_46])]) ).
fof(f1631,plain,
( ! [X0] :
( aElementOf0(sK47(stldt0(xB),X0),X0)
| sP28(stldt0(xB),X0)
| aInteger0(sK48(stldt0(xB),X0)) )
| ~ spl55_46
| ~ spl55_170 ),
inference(resolution,[],[f1587,f729]) ).
fof(f729,plain,
( ! [X1] :
( ~ aElementOf0(X1,stldt0(xB))
| aInteger0(X1) )
| ~ spl55_46 ),
inference(avatar_component_clause,[],[f728]) ).
fof(f7055,plain,
( spl55_468
| ~ spl55_47
| ~ spl55_170 ),
inference(avatar_split_clause,[],[f1630,f1586,f732,f7053]) ).
fof(f7053,plain,
( spl55_468
<=> ! [X0] :
( aElementOf0(sK47(stldt0(xB),X0),X0)
| sP28(stldt0(xB),X0)
| sP21(sK48(stldt0(xB),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_468])]) ).
fof(f1630,plain,
( ! [X0] :
( aElementOf0(sK47(stldt0(xB),X0),X0)
| sP28(stldt0(xB),X0)
| sP21(sK48(stldt0(xB),X0)) )
| ~ spl55_47
| ~ spl55_170 ),
inference(resolution,[],[f1587,f733]) ).
fof(f7051,plain,
( spl55_467
| ~ spl55_44
| ~ spl55_170 ),
inference(avatar_split_clause,[],[f1628,f1586,f720,f7049]) ).
fof(f7049,plain,
( spl55_467
<=> ! [X0] :
( aElementOf0(sK47(stldt0(xA),X0),X0)
| sP28(stldt0(xA),X0)
| aInteger0(sK48(stldt0(xA),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_467])]) ).
fof(f720,plain,
( spl55_44
<=> ! [X3] :
( aInteger0(X3)
| ~ aElementOf0(X3,stldt0(xA)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_44])]) ).
fof(f1628,plain,
( ! [X0] :
( aElementOf0(sK47(stldt0(xA),X0),X0)
| sP28(stldt0(xA),X0)
| aInteger0(sK48(stldt0(xA),X0)) )
| ~ spl55_44
| ~ spl55_170 ),
inference(resolution,[],[f1587,f721]) ).
fof(f721,plain,
( ! [X3] :
( ~ aElementOf0(X3,stldt0(xA))
| aInteger0(X3) )
| ~ spl55_44 ),
inference(avatar_component_clause,[],[f720]) ).
fof(f7047,plain,
( spl55_466
| ~ spl55_45
| ~ spl55_170 ),
inference(avatar_split_clause,[],[f1627,f1586,f724,f7045]) ).
fof(f7045,plain,
( spl55_466
<=> ! [X0] :
( aElementOf0(sK47(stldt0(xA),X0),X0)
| sP28(stldt0(xA),X0)
| sP17(sK48(stldt0(xA),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_466])]) ).
fof(f1627,plain,
( ! [X0] :
( aElementOf0(sK47(stldt0(xA),X0),X0)
| sP28(stldt0(xA),X0)
| sP17(sK48(stldt0(xA),X0)) )
| ~ spl55_45
| ~ spl55_170 ),
inference(resolution,[],[f1587,f725]) ).
fof(f7043,plain,
( spl55_465
| ~ spl55_27
| ~ spl55_455 ),
inference(avatar_split_clause,[],[f6432,f6424,f636,f7040]) ).
fof(f7040,plain,
( spl55_465
<=> sP23(sK51(sdtbsmnsldt0(xA,xB))) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_465])]) ).
fof(f6424,plain,
( spl55_455
<=> aInteger0(sK51(sdtbsmnsldt0(xA,xB))) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_455])]) ).
fof(f6432,plain,
( sP23(sK51(sdtbsmnsldt0(xA,xB)))
| ~ spl55_27
| ~ spl55_455 ),
inference(resolution,[],[f6426,f637]) ).
fof(f6426,plain,
( aInteger0(sK51(sdtbsmnsldt0(xA,xB)))
| ~ spl55_455 ),
inference(avatar_component_clause,[],[f6424]) ).
fof(f7037,plain,
( ~ spl55_21
| spl55_464
| ~ spl55_61
| ~ spl55_152 ),
inference(avatar_split_clause,[],[f1497,f1428,f800,f7035,f608]) ).
fof(f608,plain,
( spl55_21
<=> aSet0(stldt0(xB)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_21])]) ).
fof(f7035,plain,
( spl55_464
<=> ! [X0] :
( aSubsetOf0(stldt0(xB),X0)
| ~ aElementOf0(sK43(X0,stldt0(xB)),xB)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_464])]) ).
fof(f1497,plain,
( ! [X0] :
( aSubsetOf0(stldt0(xB),X0)
| ~ aSet0(stldt0(xB))
| ~ aSet0(X0)
| ~ aElementOf0(sK43(X0,stldt0(xB)),xB) )
| ~ spl55_61
| ~ spl55_152 ),
inference(resolution,[],[f1429,f801]) ).
fof(f7032,plain,
( ~ spl55_19
| spl55_463
| ~ spl55_60
| ~ spl55_152 ),
inference(avatar_split_clause,[],[f1494,f1428,f796,f7030,f598]) ).
fof(f598,plain,
( spl55_19
<=> aSet0(stldt0(xA)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_19])]) ).
fof(f7030,plain,
( spl55_463
<=> ! [X0] :
( aSubsetOf0(stldt0(xA),X0)
| ~ aElementOf0(sK43(X0,stldt0(xA)),xA)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_463])]) ).
fof(f1494,plain,
( ! [X0] :
( aSubsetOf0(stldt0(xA),X0)
| ~ aSet0(stldt0(xA))
| ~ aSet0(X0)
| ~ aElementOf0(sK43(X0,stldt0(xA)),xA) )
| ~ spl55_60
| ~ spl55_152 ),
inference(resolution,[],[f1429,f797]) ).
fof(f6512,plain,
( spl55_462
| ~ spl55_57
| ~ spl55_177 ),
inference(avatar_split_clause,[],[f1741,f1688,f774,f6510]) ).
fof(f6510,plain,
( spl55_462
<=> ! [X2,X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ aElementOf0(X1,X2)
| ~ aInteger0(X0)
| aElementOf0(X0,sbsmnsldt0(X2))
| ~ sP29(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_462])]) ).
fof(f774,plain,
( spl55_57
<=> ! [X0] :
( sP28(X0,sbsmnsldt0(X0))
| ~ sP29(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_57])]) ).
fof(f1688,plain,
( spl55_177
<=> ! [X5,X0,X6,X1] :
( aElementOf0(X5,X1)
| ~ aElementOf0(X5,X6)
| ~ aElementOf0(X6,X0)
| ~ aInteger0(X5)
| ~ sP28(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_177])]) ).
fof(f1741,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ aElementOf0(X1,X2)
| ~ aInteger0(X0)
| aElementOf0(X0,sbsmnsldt0(X2))
| ~ sP29(X2) )
| ~ spl55_57
| ~ spl55_177 ),
inference(resolution,[],[f1689,f775]) ).
fof(f775,plain,
( ! [X0] :
( sP28(X0,sbsmnsldt0(X0))
| ~ sP29(X0) )
| ~ spl55_57 ),
inference(avatar_component_clause,[],[f774]) ).
fof(f1689,plain,
( ! [X0,X1,X6,X5] :
( ~ sP28(X0,X1)
| ~ aElementOf0(X5,X6)
| ~ aElementOf0(X6,X0)
| ~ aInteger0(X5)
| aElementOf0(X5,X1) )
| ~ spl55_177 ),
inference(avatar_component_clause,[],[f1688]) ).
fof(f6508,plain,
( spl55_461
| ~ spl55_117
| ~ spl55_171 ),
inference(avatar_split_clause,[],[f1665,f1590,f1142,f6506]) ).
fof(f6506,plain,
( spl55_461
<=> ! [X2,X0,X1] :
( ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aInteger0(X0)
| aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(X1,X2))
| ~ sP31(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_461])]) ).
fof(f1142,plain,
( spl55_117
<=> ! [X0,X1] :
( sP30(X1,X0,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| ~ sP31(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_117])]) ).
fof(f1590,plain,
( spl55_171
<=> ! [X4,X0,X2,X1] :
( aElementOf0(X4,X2)
| ~ sdteqdtlpzmzozddtrp0(X4,X1,X0)
| ~ aInteger0(X4)
| ~ sP30(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_171])]) ).
fof(f1665,plain,
( ! [X2,X0,X1] :
( ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aInteger0(X0)
| aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(X1,X2))
| ~ sP31(X1,X2) )
| ~ spl55_117
| ~ spl55_171 ),
inference(resolution,[],[f1591,f1143]) ).
fof(f1143,plain,
( ! [X0,X1] :
( sP30(X1,X0,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| ~ sP31(X0,X1) )
| ~ spl55_117 ),
inference(avatar_component_clause,[],[f1142]) ).
fof(f1591,plain,
( ! [X2,X0,X1,X4] :
( ~ sP30(X0,X1,X2)
| ~ sdteqdtlpzmzozddtrp0(X4,X1,X0)
| ~ aInteger0(X4)
| aElementOf0(X4,X2) )
| ~ spl55_171 ),
inference(avatar_component_clause,[],[f1590]) ).
fof(f6504,plain,
( spl55_460
| ~ spl55_27
| ~ spl55_409 ),
inference(avatar_split_clause,[],[f5215,f5207,f636,f6501]) ).
fof(f6501,plain,
( spl55_460
<=> sP23(sK50(sdtbsmnsldt0(xA,xB))) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_460])]) ).
fof(f5207,plain,
( spl55_409
<=> aInteger0(sK50(sdtbsmnsldt0(xA,xB))) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_409])]) ).
fof(f5215,plain,
( sP23(sK50(sdtbsmnsldt0(xA,xB)))
| ~ spl55_27
| ~ spl55_409 ),
inference(resolution,[],[f5209,f637]) ).
fof(f5209,plain,
( aInteger0(sK50(sdtbsmnsldt0(xA,xB)))
| ~ spl55_409 ),
inference(avatar_component_clause,[],[f5207]) ).
fof(f6499,plain,
( spl55_459
| ~ spl55_124
| ~ spl55_161 ),
inference(avatar_split_clause,[],[f1556,f1478,f1254,f6497]) ).
fof(f6497,plain,
( spl55_459
<=> ! [X2,X0,X1] :
( ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| ~ aElementOf0(X2,sdtslmnbsdt0(X1,X0))
| aElementOf0(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_459])]) ).
fof(f1254,plain,
( spl55_124
<=> ! [X4,X0,X1,X2] :
( aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ sP32(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_124])]) ).
fof(f1478,plain,
( spl55_161
<=> ! [X0,X1] :
( sP32(X1,X0,sdtslmnbsdt0(X0,X1))
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_161])]) ).
fof(f1556,plain,
( ! [X2,X0,X1] :
( ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| ~ aElementOf0(X2,sdtslmnbsdt0(X1,X0))
| aElementOf0(X2,X1) )
| ~ spl55_124
| ~ spl55_161 ),
inference(resolution,[],[f1479,f1255]) ).
fof(f1255,plain,
( ! [X2,X0,X1,X4] :
( ~ sP32(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| aElementOf0(X4,X1) )
| ~ spl55_124 ),
inference(avatar_component_clause,[],[f1254]) ).
fof(f1479,plain,
( ! [X0,X1] :
( sP32(X1,X0,sdtslmnbsdt0(X0,X1))
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) )
| ~ spl55_161 ),
inference(avatar_component_clause,[],[f1478]) ).
fof(f6495,plain,
( spl55_458
| ~ spl55_125
| ~ spl55_161 ),
inference(avatar_split_clause,[],[f1555,f1478,f1258,f6493]) ).
fof(f6493,plain,
( spl55_458
<=> ! [X2,X0,X1] :
( ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| ~ aElementOf0(X2,sdtslmnbsdt0(X1,X0))
| aElementOf0(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_458])]) ).
fof(f1258,plain,
( spl55_125
<=> ! [X4,X0,X2,X1] :
( aElementOf0(X4,X0)
| ~ aElementOf0(X4,X2)
| ~ sP32(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_125])]) ).
fof(f1555,plain,
( ! [X2,X0,X1] :
( ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| ~ aElementOf0(X2,sdtslmnbsdt0(X1,X0))
| aElementOf0(X2,X0) )
| ~ spl55_125
| ~ spl55_161 ),
inference(resolution,[],[f1479,f1259]) ).
fof(f1259,plain,
( ! [X2,X0,X1,X4] :
( ~ sP32(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| aElementOf0(X4,X0) )
| ~ spl55_125 ),
inference(avatar_component_clause,[],[f1258]) ).
fof(f6489,plain,
( spl55_371
| ~ spl55_457
| ~ spl55_54
| ~ spl55_147 ),
inference(avatar_split_clause,[],[f1403,f1400,f762,f6486,f4357]) ).
fof(f4357,plain,
( spl55_371
<=> sP24(stldt0(sdtbsmnsldt0(xA,xB))) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_371])]) ).
fof(f6486,plain,
( spl55_457
<=> aElementOf0(sK44(stldt0(sdtbsmnsldt0(xA,xB))),sdtbsmnsldt0(xA,xB)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_457])]) ).
fof(f1400,plain,
( spl55_147
<=> ! [X0] :
( ~ aElementOf0(X0,sdtbsmnsldt0(xA,xB))
| ~ aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_147])]) ).
fof(f1403,plain,
( ~ aElementOf0(sK44(stldt0(sdtbsmnsldt0(xA,xB))),sdtbsmnsldt0(xA,xB))
| sP24(stldt0(sdtbsmnsldt0(xA,xB)))
| ~ spl55_54
| ~ spl55_147 ),
inference(resolution,[],[f1401,f763]) ).
fof(f1401,plain,
( ! [X0] :
( ~ aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aElementOf0(X0,sdtbsmnsldt0(xA,xB)) )
| ~ spl55_147 ),
inference(avatar_component_clause,[],[f1400]) ).
fof(f6431,plain,
( spl55_455
| ~ spl55_118
| spl55_456
| ~ spl55_82
| ~ spl55_110 ),
inference(avatar_split_clause,[],[f1224,f1112,f939,f6428,f1213,f6424]) ).
fof(f6428,plain,
( spl55_456
<=> isOpen0(sbsmnsldt0(sdtbsmnsldt0(xA,xB))) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_456])]) ).
fof(f1224,plain,
( isOpen0(sbsmnsldt0(sdtbsmnsldt0(xA,xB)))
| ~ aSet0(sdtbsmnsldt0(xA,xB))
| aInteger0(sK51(sdtbsmnsldt0(xA,xB)))
| ~ spl55_82
| ~ spl55_110 ),
inference(resolution,[],[f1113,f940]) ).
fof(f6422,plain,
( spl55_454
| ~ spl55_72
| ~ spl55_107 ),
inference(avatar_split_clause,[],[f1191,f1100,f848,f6420]) ).
fof(f6420,plain,
( spl55_454
<=> ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP24(X1)
| sK45(X1,X0) = sdtasdt0(sz10,sK45(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_454])]) ).
fof(f1191,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP24(X1)
| sK45(X1,X0) = sdtasdt0(sz10,sK45(X1,X0)) )
| ~ spl55_72
| ~ spl55_107 ),
inference(resolution,[],[f1101,f849]) ).
fof(f6418,plain,
( spl55_453
| ~ spl55_71
| ~ spl55_107 ),
inference(avatar_split_clause,[],[f1190,f1100,f844,f6416]) ).
fof(f6416,plain,
( spl55_453
<=> ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP24(X1)
| sK45(X1,X0) = sdtasdt0(sK45(X1,X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_453])]) ).
fof(f1190,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP24(X1)
| sK45(X1,X0) = sdtasdt0(sK45(X1,X0),sz10) )
| ~ spl55_71
| ~ spl55_107 ),
inference(resolution,[],[f1101,f845]) ).
fof(f6414,plain,
( spl55_452
| ~ spl55_70
| ~ spl55_107 ),
inference(avatar_split_clause,[],[f1189,f1100,f840,f6412]) ).
fof(f6412,plain,
( spl55_452
<=> ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP24(X1)
| sK45(X1,X0) = sdtpldt0(sz00,sK45(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_452])]) ).
fof(f1189,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP24(X1)
| sK45(X1,X0) = sdtpldt0(sz00,sK45(X1,X0)) )
| ~ spl55_70
| ~ spl55_107 ),
inference(resolution,[],[f1101,f841]) ).
fof(f6410,plain,
( spl55_451
| ~ spl55_27
| ~ spl55_321 ),
inference(avatar_split_clause,[],[f3330,f3325,f636,f6407]) ).
fof(f6407,plain,
( spl55_451
<=> sP23(sK44(sdtbsmnsldt0(xA,xB))) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_451])]) ).
fof(f3325,plain,
( spl55_321
<=> aInteger0(sK44(sdtbsmnsldt0(xA,xB))) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_321])]) ).
fof(f3330,plain,
( sP23(sK44(sdtbsmnsldt0(xA,xB)))
| ~ spl55_27
| ~ spl55_321 ),
inference(resolution,[],[f3327,f637]) ).
fof(f3327,plain,
( aInteger0(sK44(sdtbsmnsldt0(xA,xB)))
| ~ spl55_321 ),
inference(avatar_component_clause,[],[f3325]) ).
fof(f6405,plain,
( spl55_450
| ~ spl55_69
| ~ spl55_107 ),
inference(avatar_split_clause,[],[f1188,f1100,f836,f6403]) ).
fof(f6403,plain,
( spl55_450
<=> ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP24(X1)
| sK45(X1,X0) = sdtpldt0(sK45(X1,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_450])]) ).
fof(f1188,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP24(X1)
| sK45(X1,X0) = sdtpldt0(sK45(X1,X0),sz00) )
| ~ spl55_69
| ~ spl55_107 ),
inference(resolution,[],[f1101,f837]) ).
fof(f6396,plain,
( spl55_252
| ~ spl55_100
| spl55_99
| ~ spl55_173 ),
inference(avatar_split_clause,[],[f1673,f1668,f1067,f1071,f2629]) ).
fof(f1668,plain,
( spl55_173
<=> ! [X0] :
( aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aInteger0(X0)
| aElementOf0(X0,sdtbsmnsldt0(xA,xB)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_173])]) ).
fof(f1673,plain,
( ~ aInteger0(sK34)
| aElementOf0(sK34,sdtbsmnsldt0(xA,xB))
| spl55_99
| ~ spl55_173 ),
inference(resolution,[],[f1669,f1068]) ).
fof(f1068,plain,
( ~ aElementOf0(sK34,stldt0(sdtbsmnsldt0(xA,xB)))
| spl55_99 ),
inference(avatar_component_clause,[],[f1067]) ).
fof(f1669,plain,
( ! [X0] :
( aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aInteger0(X0)
| aElementOf0(X0,sdtbsmnsldt0(xA,xB)) )
| ~ spl55_173 ),
inference(avatar_component_clause,[],[f1668]) ).
fof(f6386,plain,
( ~ spl55_100
| spl55_190
| ~ spl55_96
| spl55_131 ),
inference(avatar_split_clause,[],[f6225,f1288,f1046,f1789,f1071]) ).
fof(f1046,plain,
( spl55_96
<=> ! [X1] :
( aElementOf0(X1,stldt0(xB))
| aElementOf0(X1,xB)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_96])]) ).
fof(f1288,plain,
( spl55_131
<=> aElementOf0(sK34,stldt0(xB)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_131])]) ).
fof(f6225,plain,
( aElementOf0(sK34,xB)
| ~ aInteger0(sK34)
| ~ spl55_96
| spl55_131 ),
inference(resolution,[],[f1289,f1047]) ).
fof(f1047,plain,
( ! [X1] :
( aElementOf0(X1,stldt0(xB))
| aElementOf0(X1,xB)
| ~ aInteger0(X1) )
| ~ spl55_96 ),
inference(avatar_component_clause,[],[f1046]) ).
fof(f1289,plain,
( ~ aElementOf0(sK34,stldt0(xB))
| spl55_131 ),
inference(avatar_component_clause,[],[f1288]) ).
fof(f6331,plain,
( spl55_100
| ~ spl55_44
| ~ spl55_130 ),
inference(avatar_split_clause,[],[f1286,f1280,f720,f1071]) ).
fof(f1280,plain,
( spl55_130
<=> aElementOf0(sK34,stldt0(xA)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_130])]) ).
fof(f1286,plain,
( aInteger0(sK34)
| ~ spl55_44
| ~ spl55_130 ),
inference(resolution,[],[f1282,f721]) ).
fof(f1282,plain,
( aElementOf0(sK34,stldt0(xA))
| ~ spl55_130 ),
inference(avatar_component_clause,[],[f1280]) ).
fof(f6319,plain,
( spl55_100
| ~ spl55_28
| ~ spl55_287 ),
inference(avatar_split_clause,[],[f3329,f2940,f642,f1071]) ).
fof(f642,plain,
( spl55_28
<=> ! [X5] :
( aInteger0(X5)
| ~ aElementOf0(X5,cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_28])]) ).
fof(f2940,plain,
( spl55_287
<=> aElementOf0(sK34,cS1395) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_287])]) ).
fof(f3329,plain,
( aInteger0(sK34)
| ~ spl55_28
| ~ spl55_287 ),
inference(resolution,[],[f2942,f643]) ).
fof(f643,plain,
( ! [X5] :
( ~ aElementOf0(X5,cS1395)
| aInteger0(X5) )
| ~ spl55_28 ),
inference(avatar_component_clause,[],[f642]) ).
fof(f2942,plain,
( aElementOf0(sK34,cS1395)
| ~ spl55_287 ),
inference(avatar_component_clause,[],[f2940]) ).
fof(f6318,plain,
( spl55_449
| ~ spl55_73
| ~ spl55_106 ),
inference(avatar_split_clause,[],[f1184,f1096,f852,f6316]) ).
fof(f6316,plain,
( spl55_449
<=> ! [X0,X1] :
( smndt0(sK42(X0,X1)) = sdtasdt0(sK42(X0,X1),smndt0(sz10))
| ~ sP22(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_449])]) ).
fof(f1184,plain,
( ! [X0,X1] :
( smndt0(sK42(X0,X1)) = sdtasdt0(sK42(X0,X1),smndt0(sz10))
| ~ sP22(X0,X1) )
| ~ spl55_73
| ~ spl55_106 ),
inference(resolution,[],[f1097,f853]) ).
fof(f6314,plain,
( spl55_448
| ~ spl55_73
| ~ spl55_105 ),
inference(avatar_split_clause,[],[f1174,f1092,f852,f6312]) ).
fof(f6312,plain,
( spl55_448
<=> ! [X0,X1] :
( smndt0(sK42(X0,X1)) = sdtasdt0(smndt0(sz10),sK42(X0,X1))
| ~ sP22(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_448])]) ).
fof(f1174,plain,
( ! [X0,X1] :
( smndt0(sK42(X0,X1)) = sdtasdt0(smndt0(sz10),sK42(X0,X1))
| ~ sP22(X0,X1) )
| ~ spl55_73
| ~ spl55_105 ),
inference(resolution,[],[f1093,f853]) ).
fof(f6310,plain,
( spl55_447
| ~ spl55_84
| ~ spl55_94 ),
inference(avatar_split_clause,[],[f1040,f990,f948,f6308]) ).
fof(f6308,plain,
( spl55_447
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = sdtpldt0(smndt0(sdtasdt0(X1,X0)),sdtasdt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_447])]) ).
fof(f1040,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = sdtpldt0(smndt0(sdtasdt0(X1,X0)),sdtasdt0(X1,X0)) )
| ~ spl55_84
| ~ spl55_94 ),
inference(resolution,[],[f991,f949]) ).
fof(f6306,plain,
( spl55_446
| ~ spl55_83
| ~ spl55_94 ),
inference(avatar_split_clause,[],[f1039,f990,f944,f6304]) ).
fof(f6304,plain,
( spl55_446
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = sdtpldt0(sdtasdt0(X1,X0),smndt0(sdtasdt0(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_446])]) ).
fof(f1039,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = sdtpldt0(sdtasdt0(X1,X0),smndt0(sdtasdt0(X1,X0))) )
| ~ spl55_83
| ~ spl55_94 ),
inference(resolution,[],[f991,f945]) ).
fof(f6302,plain,
( spl55_445
| ~ spl55_84
| ~ spl55_93 ),
inference(avatar_split_clause,[],[f1031,f986,f948,f6300]) ).
fof(f6300,plain,
( spl55_445
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = sdtpldt0(smndt0(sdtpldt0(X1,X0)),sdtpldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_445])]) ).
fof(f1031,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = sdtpldt0(smndt0(sdtpldt0(X1,X0)),sdtpldt0(X1,X0)) )
| ~ spl55_84
| ~ spl55_93 ),
inference(resolution,[],[f987,f949]) ).
fof(f6298,plain,
( spl55_444
| ~ spl55_83
| ~ spl55_93 ),
inference(avatar_split_clause,[],[f1030,f986,f944,f6296]) ).
fof(f6296,plain,
( spl55_444
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = sdtpldt0(sdtpldt0(X1,X0),smndt0(sdtpldt0(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_444])]) ).
fof(f1030,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = sdtpldt0(sdtpldt0(X1,X0),smndt0(sdtpldt0(X1,X0))) )
| ~ spl55_83
| ~ spl55_93 ),
inference(resolution,[],[f987,f945]) ).
fof(f6224,plain,
( ~ spl55_181
| ~ spl55_100
| ~ spl55_132
| spl55_252 ),
inference(avatar_split_clause,[],[f2634,f2629,f1296,f1071,f1751]) ).
fof(f1296,plain,
( spl55_132
<=> ! [X0] :
( aElementOf0(X0,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(X0)
| ~ aElementOf0(X0,xA) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_132])]) ).
fof(f2634,plain,
( ~ aInteger0(sK34)
| ~ aElementOf0(sK34,xA)
| ~ spl55_132
| spl55_252 ),
inference(resolution,[],[f2631,f1297]) ).
fof(f1297,plain,
( ! [X0] :
( aElementOf0(X0,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(X0)
| ~ aElementOf0(X0,xA) )
| ~ spl55_132 ),
inference(avatar_component_clause,[],[f1296]) ).
fof(f6223,plain,
( ~ spl55_5
| spl55_443
| ~ spl55_29
| ~ spl55_201 ),
inference(avatar_split_clause,[],[f2098,f2054,f646,f6221,f528]) ).
fof(f528,plain,
( spl55_5
<=> aSet0(cS1395) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_5])]) ).
fof(f6221,plain,
( spl55_443
<=> ! [X0] :
( aElementOf0(sK46(X0,cS1395),X0)
| sP26(X0,cS1395)
| ~ aInteger0(sK46(X0,cS1395)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_443])]) ).
fof(f2054,plain,
( spl55_201
<=> ! [X0,X1] :
( sP26(X0,X1)
| aElementOf0(sK46(X0,X1),X0)
| ~ aInteger0(sK46(X0,X1))
| ~ aElementOf0(sK46(X0,X1),X1)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_201])]) ).
fof(f2098,plain,
( ! [X0] :
( aElementOf0(sK46(X0,cS1395),X0)
| ~ aInteger0(sK46(X0,cS1395))
| sP26(X0,cS1395)
| ~ aSet0(cS1395) )
| ~ spl55_29
| ~ spl55_201 ),
inference(duplicate_literal_removal,[],[f2083]) ).
fof(f2083,plain,
( ! [X0] :
( aElementOf0(sK46(X0,cS1395),X0)
| ~ aInteger0(sK46(X0,cS1395))
| sP26(X0,cS1395)
| ~ aSet0(cS1395)
| ~ aInteger0(sK46(X0,cS1395)) )
| ~ spl55_29
| ~ spl55_201 ),
inference(resolution,[],[f2055,f647]) ).
fof(f2055,plain,
( ! [X0,X1] :
( ~ aElementOf0(sK46(X0,X1),X1)
| aElementOf0(sK46(X0,X1),X0)
| ~ aInteger0(sK46(X0,X1))
| sP26(X0,X1)
| ~ aSet0(X1) )
| ~ spl55_201 ),
inference(avatar_component_clause,[],[f2054]) ).
fof(f6170,plain,
( ~ spl55_19
| spl55_442
| ~ spl55_44
| ~ spl55_195 ),
inference(avatar_split_clause,[],[f2018,f1970,f720,f6168,f598]) ).
fof(f6168,plain,
( spl55_442
<=> ! [X0,X1] :
( aInteger0(sK52(X0,X1,stldt0(xA)))
| sP30(X0,X1,stldt0(xA)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_442])]) ).
fof(f2018,plain,
( ! [X0,X1] :
( aInteger0(sK52(X0,X1,stldt0(xA)))
| sP30(X0,X1,stldt0(xA))
| ~ aSet0(stldt0(xA)) )
| ~ spl55_44
| ~ spl55_195 ),
inference(duplicate_literal_removal,[],[f1998]) ).
fof(f1998,plain,
( ! [X0,X1] :
( aInteger0(sK52(X0,X1,stldt0(xA)))
| sP30(X0,X1,stldt0(xA))
| ~ aSet0(stldt0(xA))
| aInteger0(sK52(X0,X1,stldt0(xA))) )
| ~ spl55_44
| ~ spl55_195 ),
inference(resolution,[],[f1971,f721]) ).
fof(f6117,plain,
( ~ spl55_21
| spl55_441
| ~ spl55_46
| ~ spl55_195 ),
inference(avatar_split_clause,[],[f2017,f1970,f728,f6115,f608]) ).
fof(f6115,plain,
( spl55_441
<=> ! [X0,X1] :
( aInteger0(sK52(X0,X1,stldt0(xB)))
| sP30(X0,X1,stldt0(xB)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_441])]) ).
fof(f2017,plain,
( ! [X0,X1] :
( aInteger0(sK52(X0,X1,stldt0(xB)))
| sP30(X0,X1,stldt0(xB))
| ~ aSet0(stldt0(xB)) )
| ~ spl55_46
| ~ spl55_195 ),
inference(duplicate_literal_removal,[],[f2001]) ).
fof(f2001,plain,
( ! [X0,X1] :
( aInteger0(sK52(X0,X1,stldt0(xB)))
| sP30(X0,X1,stldt0(xB))
| ~ aSet0(stldt0(xB))
| aInteger0(sK52(X0,X1,stldt0(xB))) )
| ~ spl55_46
| ~ spl55_195 ),
inference(resolution,[],[f1971,f729]) ).
fof(f6113,plain,
( spl55_440
| ~ spl55_29
| ~ spl55_184 ),
inference(avatar_split_clause,[],[f1795,f1764,f646,f6111]) ).
fof(f6111,plain,
( spl55_440
<=> ! [X0] :
( sP26(cS1395,X0)
| aElementOf0(sK46(cS1395,X0),X0)
| ~ aSet0(X0)
| ~ aInteger0(sK46(cS1395,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_440])]) ).
fof(f1764,plain,
( spl55_184
<=> ! [X0,X1] :
( sP26(X0,X1)
| ~ aElementOf0(sK46(X0,X1),X0)
| aElementOf0(sK46(X0,X1),X1)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_184])]) ).
fof(f1795,plain,
( ! [X0] :
( sP26(cS1395,X0)
| aElementOf0(sK46(cS1395,X0),X0)
| ~ aSet0(X0)
| ~ aInteger0(sK46(cS1395,X0)) )
| ~ spl55_29
| ~ spl55_184 ),
inference(resolution,[],[f1765,f647]) ).
fof(f1765,plain,
( ! [X0,X1] :
( ~ aElementOf0(sK46(X0,X1),X0)
| sP26(X0,X1)
| aElementOf0(sK46(X0,X1),X1)
| ~ aSet0(X1) )
| ~ spl55_184 ),
inference(avatar_component_clause,[],[f1764]) ).
fof(f6103,plain,
( ~ spl55_6
| spl55_439
| ~ spl55_43
| ~ spl55_176 ),
inference(avatar_split_clause,[],[f1733,f1684,f716,f6101,f533]) ).
fof(f6101,plain,
( spl55_439
<=> ! [X0] :
( aInteger0(sK46(X0,xB))
| aElementOf0(sK46(X0,xB),cS1395)
| sP26(X0,xB) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_439])]) ).
fof(f1733,plain,
( ! [X0] :
( aInteger0(sK46(X0,xB))
| sP26(X0,xB)
| ~ aSet0(xB)
| aElementOf0(sK46(X0,xB),cS1395) )
| ~ spl55_43
| ~ spl55_176 ),
inference(resolution,[],[f1685,f717]) ).
fof(f6093,plain,
( ~ spl55_4
| spl55_438
| ~ spl55_42
| ~ spl55_176 ),
inference(avatar_split_clause,[],[f1732,f1684,f712,f6091,f523]) ).
fof(f6091,plain,
( spl55_438
<=> ! [X0] :
( aInteger0(sK46(X0,xA))
| aElementOf0(sK46(X0,xA),cS1395)
| sP26(X0,xA) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_438])]) ).
fof(f1732,plain,
( ! [X0] :
( aInteger0(sK46(X0,xA))
| sP26(X0,xA)
| ~ aSet0(xA)
| aElementOf0(sK46(X0,xA),cS1395) )
| ~ spl55_42
| ~ spl55_176 ),
inference(resolution,[],[f1685,f713]) ).
fof(f6038,plain,
( ~ spl55_21
| spl55_437
| ~ spl55_46
| ~ spl55_152 ),
inference(avatar_split_clause,[],[f1499,f1428,f728,f6036,f608]) ).
fof(f6036,plain,
( spl55_437
<=> ! [X0] :
( aSubsetOf0(stldt0(xB),X0)
| aInteger0(sK43(X0,stldt0(xB)))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_437])]) ).
fof(f1499,plain,
( ! [X0] :
( aSubsetOf0(stldt0(xB),X0)
| ~ aSet0(stldt0(xB))
| ~ aSet0(X0)
| aInteger0(sK43(X0,stldt0(xB))) )
| ~ spl55_46
| ~ spl55_152 ),
inference(resolution,[],[f1429,f729]) ).
fof(f6022,plain,
( ~ spl55_21
| spl55_436
| ~ spl55_47
| ~ spl55_152 ),
inference(avatar_split_clause,[],[f1498,f1428,f732,f6020,f608]) ).
fof(f6020,plain,
( spl55_436
<=> ! [X0] :
( aSubsetOf0(stldt0(xB),X0)
| sP21(sK43(X0,stldt0(xB)))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_436])]) ).
fof(f1498,plain,
( ! [X0] :
( aSubsetOf0(stldt0(xB),X0)
| ~ aSet0(stldt0(xB))
| ~ aSet0(X0)
| sP21(sK43(X0,stldt0(xB))) )
| ~ spl55_47
| ~ spl55_152 ),
inference(resolution,[],[f1429,f733]) ).
fof(f5967,plain,
( ~ spl55_19
| spl55_435
| ~ spl55_44
| ~ spl55_152 ),
inference(avatar_split_clause,[],[f1496,f1428,f720,f5965,f598]) ).
fof(f5965,plain,
( spl55_435
<=> ! [X0] :
( aSubsetOf0(stldt0(xA),X0)
| aInteger0(sK43(X0,stldt0(xA)))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_435])]) ).
fof(f1496,plain,
( ! [X0] :
( aSubsetOf0(stldt0(xA),X0)
| ~ aSet0(stldt0(xA))
| ~ aSet0(X0)
| aInteger0(sK43(X0,stldt0(xA))) )
| ~ spl55_44
| ~ spl55_152 ),
inference(resolution,[],[f1429,f721]) ).
fof(f5951,plain,
( ~ spl55_19
| spl55_434
| ~ spl55_45
| ~ spl55_152 ),
inference(avatar_split_clause,[],[f1495,f1428,f724,f5949,f598]) ).
fof(f5949,plain,
( spl55_434
<=> ! [X0] :
( aSubsetOf0(stldt0(xA),X0)
| sP17(sK43(X0,stldt0(xA)))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_434])]) ).
fof(f1495,plain,
( ! [X0] :
( aSubsetOf0(stldt0(xA),X0)
| ~ aSet0(stldt0(xA))
| ~ aSet0(X0)
| sP17(sK43(X0,stldt0(xA))) )
| ~ spl55_45
| ~ spl55_152 ),
inference(resolution,[],[f1429,f725]) ).
fof(f5849,plain,
( spl55_222
| ~ spl55_433
| ~ spl55_52
| ~ spl55_432 ),
inference(avatar_split_clause,[],[f5647,f5344,f754,f5846,f2383]) ).
fof(f2383,plain,
( spl55_222
<=> sP24(cS1395) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_222])]) ).
fof(f5846,plain,
( spl55_433
<=> isOpen0(cS1395) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_433])]) ).
fof(f754,plain,
( spl55_52
<=> ! [X0] :
( sP24(X0)
| ~ isOpen0(X0)
| ~ sP25(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_52])]) ).
fof(f5344,plain,
( spl55_432
<=> sP25(cS1395) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_432])]) ).
fof(f5647,plain,
( ~ isOpen0(cS1395)
| sP24(cS1395)
| ~ spl55_52
| ~ spl55_432 ),
inference(resolution,[],[f5346,f755]) ).
fof(f755,plain,
( ! [X0] :
( ~ sP25(X0)
| ~ isOpen0(X0)
| sP24(X0) )
| ~ spl55_52 ),
inference(avatar_component_clause,[],[f754]) ).
fof(f5346,plain,
( sP25(cS1395)
| ~ spl55_432 ),
inference(avatar_component_clause,[],[f5344]) ).
fof(f5347,plain,
( spl55_432
| ~ spl55_5
| ~ spl55_37
| ~ spl55_241 ),
inference(avatar_split_clause,[],[f2557,f2491,f684,f528,f5344]) ).
fof(f684,plain,
( spl55_37
<=> ! [X0] :
( sP25(X0)
| ~ aSubsetOf0(X0,cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_37])]) ).
fof(f2491,plain,
( spl55_241
<=> ! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_241])]) ).
fof(f2557,plain,
( ~ aSet0(cS1395)
| sP25(cS1395)
| ~ spl55_37
| ~ spl55_241 ),
inference(resolution,[],[f2492,f685]) ).
fof(f685,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,cS1395)
| sP25(X0) )
| ~ spl55_37 ),
inference(avatar_component_clause,[],[f684]) ).
fof(f2492,plain,
( ! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) )
| ~ spl55_241 ),
inference(avatar_component_clause,[],[f2491]) ).
fof(f5342,plain,
( spl55_431
| ~ spl55_82
| ~ spl55_189 ),
inference(avatar_split_clause,[],[f1859,f1784,f939,f5340]) ).
fof(f5340,plain,
( spl55_431
<=> ! [X0,X1] :
( aInteger0(sK54(X0,X1,sdtbsmnsldt0(xA,xB)))
| sP33(X0,X1,sdtbsmnsldt0(xA,xB)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_431])]) ).
fof(f1859,plain,
( ! [X0,X1] :
( aInteger0(sK54(X0,X1,sdtbsmnsldt0(xA,xB)))
| sP33(X0,X1,sdtbsmnsldt0(xA,xB)) )
| ~ spl55_82
| ~ spl55_189 ),
inference(duplicate_literal_removal,[],[f1835]) ).
fof(f1835,plain,
( ! [X0,X1] :
( aInteger0(sK54(X0,X1,sdtbsmnsldt0(xA,xB)))
| sP33(X0,X1,sdtbsmnsldt0(xA,xB))
| aInteger0(sK54(X0,X1,sdtbsmnsldt0(xA,xB))) )
| ~ spl55_82
| ~ spl55_189 ),
inference(resolution,[],[f1785,f940]) ).
fof(f5338,plain,
( spl55_430
| ~ spl55_82
| ~ spl55_188 ),
inference(avatar_split_clause,[],[f1831,f1780,f939,f5336]) ).
fof(f5336,plain,
( spl55_430
<=> ! [X0,X1] :
( aInteger0(sK53(X0,X1,sdtbsmnsldt0(xA,xB)))
| sP32(X0,X1,sdtbsmnsldt0(xA,xB)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_430])]) ).
fof(f1831,plain,
( ! [X0,X1] :
( aInteger0(sK53(X0,X1,sdtbsmnsldt0(xA,xB)))
| sP32(X0,X1,sdtbsmnsldt0(xA,xB)) )
| ~ spl55_82
| ~ spl55_188 ),
inference(duplicate_literal_removal,[],[f1807]) ).
fof(f1807,plain,
( ! [X0,X1] :
( aInteger0(sK53(X0,X1,sdtbsmnsldt0(xA,xB)))
| sP32(X0,X1,sdtbsmnsldt0(xA,xB))
| aInteger0(sK53(X0,X1,sdtbsmnsldt0(xA,xB))) )
| ~ spl55_82
| ~ spl55_188 ),
inference(resolution,[],[f1781,f940]) ).
fof(f5334,plain,
( spl55_429
| ~ spl55_113
| ~ spl55_162 ),
inference(avatar_split_clause,[],[f1560,f1482,f1124,f5332]) ).
fof(f5332,plain,
( spl55_429
<=> ! [X2,X0,X1] :
( ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| ~ aElementOf0(X2,sdtbsmnsldt0(X1,X0))
| aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_429])]) ).
fof(f1124,plain,
( spl55_113
<=> ! [X4,X0,X2,X1] :
( aInteger0(X4)
| ~ aElementOf0(X4,X2)
| ~ sP33(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_113])]) ).
fof(f1560,plain,
( ! [X2,X0,X1] :
( ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| ~ aElementOf0(X2,sdtbsmnsldt0(X1,X0))
| aInteger0(X2) )
| ~ spl55_113
| ~ spl55_162 ),
inference(resolution,[],[f1483,f1125]) ).
fof(f1125,plain,
( ! [X2,X0,X1,X4] :
( ~ sP33(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| aInteger0(X4) )
| ~ spl55_113 ),
inference(avatar_component_clause,[],[f1124]) ).
fof(f5330,plain,
( spl55_428
| ~ spl55_112
| ~ spl55_161 ),
inference(avatar_split_clause,[],[f1557,f1478,f1120,f5328]) ).
fof(f5328,plain,
( spl55_428
<=> ! [X2,X0,X1] :
( ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| ~ aElementOf0(X2,sdtslmnbsdt0(X1,X0))
| aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_428])]) ).
fof(f1120,plain,
( spl55_112
<=> ! [X4,X0,X2,X1] :
( aInteger0(X4)
| ~ aElementOf0(X4,X2)
| ~ sP32(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_112])]) ).
fof(f1557,plain,
( ! [X2,X0,X1] :
( ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| ~ aElementOf0(X2,sdtslmnbsdt0(X1,X0))
| aInteger0(X2) )
| ~ spl55_112
| ~ spl55_161 ),
inference(resolution,[],[f1479,f1121]) ).
fof(f1121,plain,
( ! [X2,X0,X1,X4] :
( ~ sP32(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| aInteger0(X4) )
| ~ spl55_112 ),
inference(avatar_component_clause,[],[f1120]) ).
fof(f5326,plain,
( spl55_427
| ~ spl55_97
| ~ spl55_155 ),
inference(avatar_split_clause,[],[f1544,f1440,f1057,f5324]) ).
fof(f5324,plain,
( spl55_427
<=> ! [X0] :
( aInteger0(sK47(X0,stldt0(sdtbsmnsldt0(xA,xB))))
| sP28(X0,stldt0(sdtbsmnsldt0(xA,xB))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_427])]) ).
fof(f1440,plain,
( spl55_155
<=> ! [X0,X1] :
( sP28(X0,X1)
| aInteger0(sK47(X0,X1))
| aElementOf0(sK47(X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_155])]) ).
fof(f1544,plain,
( ! [X0] :
( aInteger0(sK47(X0,stldt0(sdtbsmnsldt0(xA,xB))))
| sP28(X0,stldt0(sdtbsmnsldt0(xA,xB))) )
| ~ spl55_97
| ~ spl55_155 ),
inference(duplicate_literal_removal,[],[f1535]) ).
fof(f1535,plain,
( ! [X0] :
( aInteger0(sK47(X0,stldt0(sdtbsmnsldt0(xA,xB))))
| sP28(X0,stldt0(sdtbsmnsldt0(xA,xB)))
| aInteger0(sK47(X0,stldt0(sdtbsmnsldt0(xA,xB)))) )
| ~ spl55_97
| ~ spl55_155 ),
inference(resolution,[],[f1441,f1058]) ).
fof(f1441,plain,
( ! [X0,X1] :
( aElementOf0(sK47(X0,X1),X1)
| aInteger0(sK47(X0,X1))
| sP28(X0,X1) )
| ~ spl55_155 ),
inference(avatar_component_clause,[],[f1440]) ).
fof(f5322,plain,
( spl55_426
| ~ spl55_74
| ~ spl55_154 ),
inference(avatar_split_clause,[],[f1519,f1436,f856,f5320]) ).
fof(f5320,plain,
( spl55_426
<=> ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP24(X1)
| aSet0(szAzrzSzezqlpdtcmdtrp0(X0,sK45(X1,X0)))
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_426])]) ).
fof(f856,plain,
( spl55_74
<=> ! [X0,X1] :
( aSet0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_74])]) ).
fof(f1519,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP24(X1)
| aSet0(szAzrzSzezqlpdtcmdtrp0(X0,sK45(X1,X0)))
| ~ aSet0(X1) )
| ~ spl55_74
| ~ spl55_154 ),
inference(resolution,[],[f1437,f857]) ).
fof(f857,plain,
( ! [X0,X1] :
( ~ aSubsetOf0(X1,X0)
| aSet0(X1)
| ~ aSet0(X0) )
| ~ spl55_74 ),
inference(avatar_component_clause,[],[f856]) ).
fof(f5318,plain,
( spl55_425
| ~ spl55_34
| ~ spl55_146 ),
inference(avatar_split_clause,[],[f1395,f1356,f672,f5316]) ).
fof(f5316,plain,
( spl55_425
<=> ! [X0,X1] :
( sdtasdt0(X0,sK39(X1)) = sdtasdt0(sK39(X1),X0)
| ~ aInteger0(X0)
| ~ sP17(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_425])]) ).
fof(f672,plain,
( spl55_34
<=> ! [X0] :
( aInteger0(sK39(X0))
| ~ sP17(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_34])]) ).
fof(f1395,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sK39(X1)) = sdtasdt0(sK39(X1),X0)
| ~ aInteger0(X0)
| ~ sP17(X1) )
| ~ spl55_34
| ~ spl55_146 ),
inference(resolution,[],[f1357,f673]) ).
fof(f673,plain,
( ! [X0] :
( aInteger0(sK39(X0))
| ~ sP17(X0) )
| ~ spl55_34 ),
inference(avatar_component_clause,[],[f672]) ).
fof(f5314,plain,
( spl55_424
| ~ spl55_33
| ~ spl55_146 ),
inference(avatar_split_clause,[],[f1393,f1356,f668,f5312]) ).
fof(f5312,plain,
( spl55_424
<=> ! [X0,X1] :
( sdtasdt0(X0,sK37(X1)) = sdtasdt0(sK37(X1),X0)
| ~ aInteger0(X0)
| ~ sP21(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_424])]) ).
fof(f668,plain,
( spl55_33
<=> ! [X0] :
( aInteger0(sK37(X0))
| ~ sP21(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_33])]) ).
fof(f1393,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sK37(X1)) = sdtasdt0(sK37(X1),X0)
| ~ aInteger0(X0)
| ~ sP21(X1) )
| ~ spl55_33
| ~ spl55_146 ),
inference(resolution,[],[f1357,f669]) ).
fof(f669,plain,
( ! [X0] :
( aInteger0(sK37(X0))
| ~ sP21(X0) )
| ~ spl55_33 ),
inference(avatar_component_clause,[],[f668]) ).
fof(f5310,plain,
( spl55_423
| ~ spl55_35
| ~ spl55_146 ),
inference(avatar_split_clause,[],[f1389,f1356,f676,f5308]) ).
fof(f5308,plain,
( spl55_423
<=> ! [X0,X1] :
( sdtasdt0(X0,smndt0(X1)) = sdtasdt0(smndt0(X1),X0)
| ~ aInteger0(X0)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_423])]) ).
fof(f676,plain,
( spl55_35
<=> ! [X0] :
( aInteger0(smndt0(X0))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_35])]) ).
fof(f1389,plain,
( ! [X0,X1] :
( sdtasdt0(X0,smndt0(X1)) = sdtasdt0(smndt0(X1),X0)
| ~ aInteger0(X0)
| ~ aInteger0(X1) )
| ~ spl55_35
| ~ spl55_146 ),
inference(resolution,[],[f1357,f677]) ).
fof(f677,plain,
( ! [X0] :
( aInteger0(smndt0(X0))
| ~ aInteger0(X0) )
| ~ spl55_35 ),
inference(avatar_component_clause,[],[f676]) ).
fof(f5306,plain,
( spl55_422
| ~ spl55_34
| ~ spl55_145 ),
inference(avatar_split_clause,[],[f1383,f1352,f672,f5304]) ).
fof(f5304,plain,
( spl55_422
<=> ! [X0,X1] :
( sdtpldt0(X0,sK39(X1)) = sdtpldt0(sK39(X1),X0)
| ~ aInteger0(X0)
| ~ sP17(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_422])]) ).
fof(f1383,plain,
( ! [X0,X1] :
( sdtpldt0(X0,sK39(X1)) = sdtpldt0(sK39(X1),X0)
| ~ aInteger0(X0)
| ~ sP17(X1) )
| ~ spl55_34
| ~ spl55_145 ),
inference(resolution,[],[f1353,f673]) ).
fof(f5302,plain,
( spl55_421
| ~ spl55_33
| ~ spl55_145 ),
inference(avatar_split_clause,[],[f1381,f1352,f668,f5300]) ).
fof(f5300,plain,
( spl55_421
<=> ! [X0,X1] :
( sdtpldt0(X0,sK37(X1)) = sdtpldt0(sK37(X1),X0)
| ~ aInteger0(X0)
| ~ sP21(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_421])]) ).
fof(f1381,plain,
( ! [X0,X1] :
( sdtpldt0(X0,sK37(X1)) = sdtpldt0(sK37(X1),X0)
| ~ aInteger0(X0)
| ~ sP21(X1) )
| ~ spl55_33
| ~ spl55_145 ),
inference(resolution,[],[f1353,f669]) ).
fof(f5298,plain,
( spl55_420
| ~ spl55_35
| ~ spl55_145 ),
inference(avatar_split_clause,[],[f1377,f1352,f676,f5296]) ).
fof(f5296,plain,
( spl55_420
<=> ! [X0,X1] :
( sdtpldt0(X0,smndt0(X1)) = sdtpldt0(smndt0(X1),X0)
| ~ aInteger0(X0)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_420])]) ).
fof(f1377,plain,
( ! [X0,X1] :
( sdtpldt0(X0,smndt0(X1)) = sdtpldt0(smndt0(X1),X0)
| ~ aInteger0(X0)
| ~ aInteger0(X1) )
| ~ spl55_35
| ~ spl55_145 ),
inference(resolution,[],[f1353,f677]) ).
fof(f5294,plain,
( spl55_419
| ~ spl55_72
| ~ spl55_94 ),
inference(avatar_split_clause,[],[f1038,f990,f848,f5292]) ).
fof(f5292,plain,
( spl55_419
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,X0) = sdtasdt0(sz10,sdtasdt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_419])]) ).
fof(f1038,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,X0) = sdtasdt0(sz10,sdtasdt0(X1,X0)) )
| ~ spl55_72
| ~ spl55_94 ),
inference(resolution,[],[f991,f849]) ).
fof(f5290,plain,
( spl55_418
| ~ spl55_71
| ~ spl55_94 ),
inference(avatar_split_clause,[],[f1037,f990,f844,f5288]) ).
fof(f5288,plain,
( spl55_418
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,X0) = sdtasdt0(sdtasdt0(X1,X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_418])]) ).
fof(f1037,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,X0) = sdtasdt0(sdtasdt0(X1,X0),sz10) )
| ~ spl55_71
| ~ spl55_94 ),
inference(resolution,[],[f991,f845]) ).
fof(f5286,plain,
( spl55_417
| ~ spl55_70
| ~ spl55_94 ),
inference(avatar_split_clause,[],[f1036,f990,f840,f5284]) ).
fof(f5284,plain,
( spl55_417
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,X0) = sdtpldt0(sz00,sdtasdt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_417])]) ).
fof(f1036,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,X0) = sdtpldt0(sz00,sdtasdt0(X1,X0)) )
| ~ spl55_70
| ~ spl55_94 ),
inference(resolution,[],[f991,f841]) ).
fof(f5282,plain,
( spl55_416
| ~ spl55_69
| ~ spl55_94 ),
inference(avatar_split_clause,[],[f1035,f990,f836,f5280]) ).
fof(f5280,plain,
( spl55_416
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,X0) = sdtpldt0(sdtasdt0(X1,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_416])]) ).
fof(f1035,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,X0) = sdtpldt0(sdtasdt0(X1,X0),sz00) )
| ~ spl55_69
| ~ spl55_94 ),
inference(resolution,[],[f991,f837]) ).
fof(f5278,plain,
( spl55_415
| ~ spl55_72
| ~ spl55_93 ),
inference(avatar_split_clause,[],[f1029,f986,f848,f5276]) ).
fof(f5276,plain,
( spl55_415
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtpldt0(X1,X0) = sdtasdt0(sz10,sdtpldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_415])]) ).
fof(f1029,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtpldt0(X1,X0) = sdtasdt0(sz10,sdtpldt0(X1,X0)) )
| ~ spl55_72
| ~ spl55_93 ),
inference(resolution,[],[f987,f849]) ).
fof(f5274,plain,
( spl55_414
| ~ spl55_71
| ~ spl55_93 ),
inference(avatar_split_clause,[],[f1028,f986,f844,f5272]) ).
fof(f5272,plain,
( spl55_414
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtpldt0(X1,X0) = sdtasdt0(sdtpldt0(X1,X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_414])]) ).
fof(f1028,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtpldt0(X1,X0) = sdtasdt0(sdtpldt0(X1,X0),sz10) )
| ~ spl55_71
| ~ spl55_93 ),
inference(resolution,[],[f987,f845]) ).
fof(f5270,plain,
( spl55_413
| ~ spl55_70
| ~ spl55_93 ),
inference(avatar_split_clause,[],[f1027,f986,f840,f5268]) ).
fof(f5268,plain,
( spl55_413
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtpldt0(X1,X0) = sdtpldt0(sz00,sdtpldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_413])]) ).
fof(f1027,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtpldt0(X1,X0) = sdtpldt0(sz00,sdtpldt0(X1,X0)) )
| ~ spl55_70
| ~ spl55_93 ),
inference(resolution,[],[f987,f841]) ).
fof(f5266,plain,
( spl55_412
| ~ spl55_69
| ~ spl55_93 ),
inference(avatar_split_clause,[],[f1026,f986,f836,f5264]) ).
fof(f5264,plain,
( spl55_412
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtpldt0(X1,X0) = sdtpldt0(sdtpldt0(X1,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_412])]) ).
fof(f1026,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtpldt0(X1,X0) = sdtpldt0(sdtpldt0(X1,X0),sz00) )
| ~ spl55_69
| ~ spl55_93 ),
inference(resolution,[],[f987,f837]) ).
fof(f5262,plain,
( spl55_411
| ~ spl55_5
| ~ spl55_39
| ~ spl55_241 ),
inference(avatar_split_clause,[],[f2556,f2491,f692,f528,f5259]) ).
fof(f5259,plain,
( spl55_411
<=> sP27(cS1395) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_411])]) ).
fof(f692,plain,
( spl55_39
<=> ! [X0] :
( sP27(X0)
| ~ aSubsetOf0(X0,cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_39])]) ).
fof(f2556,plain,
( ~ aSet0(cS1395)
| sP27(cS1395)
| ~ spl55_39
| ~ spl55_241 ),
inference(resolution,[],[f2492,f693]) ).
fof(f693,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,cS1395)
| sP27(X0) )
| ~ spl55_39 ),
inference(avatar_component_clause,[],[f692]) ).
fof(f5214,plain,
( spl55_409
| ~ spl55_118
| spl55_410
| ~ spl55_82
| ~ spl55_91 ),
inference(avatar_split_clause,[],[f1014,f978,f939,f5211,f1213,f5207]) ).
fof(f5211,plain,
( spl55_410
<=> sP29(sdtbsmnsldt0(xA,xB)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_410])]) ).
fof(f1014,plain,
( sP29(sdtbsmnsldt0(xA,xB))
| ~ aSet0(sdtbsmnsldt0(xA,xB))
| aInteger0(sK50(sdtbsmnsldt0(xA,xB)))
| ~ spl55_82
| ~ spl55_91 ),
inference(resolution,[],[f979,f940]) ).
fof(f5205,plain,
( spl55_408
| ~ spl55_73
| ~ spl55_84 ),
inference(avatar_split_clause,[],[f1004,f948,f852,f5203]) ).
fof(f5203,plain,
( spl55_408
<=> ! [X0,X1] :
( sz00 = sdtpldt0(smndt0(sK42(X0,X1)),sK42(X0,X1))
| ~ sP22(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_408])]) ).
fof(f1004,plain,
( ! [X0,X1] :
( sz00 = sdtpldt0(smndt0(sK42(X0,X1)),sK42(X0,X1))
| ~ sP22(X0,X1) )
| ~ spl55_73
| ~ spl55_84 ),
inference(resolution,[],[f949,f853]) ).
fof(f5201,plain,
( spl55_407
| ~ spl55_73
| ~ spl55_83 ),
inference(avatar_split_clause,[],[f998,f944,f852,f5199]) ).
fof(f5199,plain,
( spl55_407
<=> ! [X0,X1] :
( sz00 = sdtpldt0(sK42(X0,X1),smndt0(sK42(X0,X1)))
| ~ sP22(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_407])]) ).
fof(f998,plain,
( ! [X0,X1] :
( sz00 = sdtpldt0(sK42(X0,X1),smndt0(sK42(X0,X1)))
| ~ sP22(X0,X1) )
| ~ spl55_73
| ~ spl55_83 ),
inference(resolution,[],[f945,f853]) ).
fof(f5131,plain,
( spl55_406
| ~ spl55_43
| ~ spl55_170 ),
inference(avatar_split_clause,[],[f1664,f1586,f716,f5129]) ).
fof(f5129,plain,
( spl55_406
<=> ! [X0] :
( aElementOf0(sK48(X0,xB),X0)
| sP28(X0,xB)
| aElementOf0(sK47(X0,xB),cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_406])]) ).
fof(f1664,plain,
( ! [X0] :
( aElementOf0(sK48(X0,xB),X0)
| sP28(X0,xB)
| aElementOf0(sK47(X0,xB),cS1395) )
| ~ spl55_43
| ~ spl55_170 ),
inference(resolution,[],[f1587,f717]) ).
fof(f5127,plain,
( spl55_405
| ~ spl55_42
| ~ spl55_170 ),
inference(avatar_split_clause,[],[f1663,f1586,f712,f5125]) ).
fof(f5125,plain,
( spl55_405
<=> ! [X0] :
( aElementOf0(sK48(X0,xA),X0)
| sP28(X0,xA)
| aElementOf0(sK47(X0,xA),cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_405])]) ).
fof(f1663,plain,
( ! [X0] :
( aElementOf0(sK48(X0,xA),X0)
| sP28(X0,xA)
| aElementOf0(sK47(X0,xA),cS1395) )
| ~ spl55_42
| ~ spl55_170 ),
inference(resolution,[],[f1587,f713]) ).
fof(f5007,plain,
( spl55_404
| ~ spl55_117
| ~ spl55_144 ),
inference(avatar_split_clause,[],[f1374,f1348,f1142,f5005]) ).
fof(f5005,plain,
( spl55_404
<=> ! [X2,X0,X1] :
( ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(X1,X2))
| sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ sP31(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_404])]) ).
fof(f1348,plain,
( spl55_144
<=> ! [X2,X4,X0,X1] :
( sdteqdtlpzmzozddtrp0(X4,X1,X0)
| ~ aElementOf0(X4,X2)
| ~ sP30(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_144])]) ).
fof(f1374,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(X1,X2))
| sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ sP31(X1,X2) )
| ~ spl55_117
| ~ spl55_144 ),
inference(resolution,[],[f1349,f1143]) ).
fof(f1349,plain,
( ! [X2,X0,X1,X4] :
( ~ sP30(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| sdteqdtlpzmzozddtrp0(X4,X1,X0) )
| ~ spl55_144 ),
inference(avatar_component_clause,[],[f1348]) ).
fof(f5003,plain,
( spl55_403
| ~ spl55_67
| ~ spl55_107 ),
inference(avatar_split_clause,[],[f1187,f1100,f827,f5001]) ).
fof(f5001,plain,
( spl55_403
<=> ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP24(X1)
| sz00 = sdtasdt0(sz00,sK45(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_403])]) ).
fof(f1187,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP24(X1)
| sz00 = sdtasdt0(sz00,sK45(X1,X0)) )
| ~ spl55_67
| ~ spl55_107 ),
inference(resolution,[],[f1101,f828]) ).
fof(f4999,plain,
( spl55_402
| ~ spl55_66
| ~ spl55_107 ),
inference(avatar_split_clause,[],[f1186,f1100,f823,f4997]) ).
fof(f4997,plain,
( spl55_402
<=> ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP24(X1)
| sz00 = sdtasdt0(sK45(X1,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_402])]) ).
fof(f1186,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP24(X1)
| sz00 = sdtasdt0(sK45(X1,X0),sz00) )
| ~ spl55_66
| ~ spl55_107 ),
inference(resolution,[],[f1101,f824]) ).
fof(f4995,plain,
( spl55_401
| ~ spl55_67
| ~ spl55_104 ),
inference(avatar_split_clause,[],[f1158,f1088,f827,f4993]) ).
fof(f4993,plain,
( spl55_401
<=> ! [X2,X0,X1] :
( ~ sP14(X0,X1,X2)
| sz00 = sdtasdt0(sz00,sK40(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_401])]) ).
fof(f1158,plain,
( ! [X2,X0,X1] :
( ~ sP14(X0,X1,X2)
| sz00 = sdtasdt0(sz00,sK40(X0,X1,X2)) )
| ~ spl55_67
| ~ spl55_104 ),
inference(resolution,[],[f1089,f828]) ).
fof(f4991,plain,
( spl55_400
| ~ spl55_66
| ~ spl55_104 ),
inference(avatar_split_clause,[],[f1157,f1088,f823,f4989]) ).
fof(f4989,plain,
( spl55_400
<=> ! [X2,X0,X1] :
( ~ sP14(X0,X1,X2)
| sz00 = sdtasdt0(sK40(X0,X1,X2),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_400])]) ).
fof(f1157,plain,
( ! [X2,X0,X1] :
( ~ sP14(X0,X1,X2)
| sz00 = sdtasdt0(sK40(X0,X1,X2),sz00) )
| ~ spl55_66
| ~ spl55_104 ),
inference(resolution,[],[f1089,f824]) ).
fof(f4987,plain,
( spl55_399
| ~ spl55_67
| ~ spl55_102 ),
inference(avatar_split_clause,[],[f1148,f1080,f827,f4985]) ).
fof(f4985,plain,
( spl55_399
<=> ! [X2,X0,X1] :
( ~ sP18(X0,X1,X2)
| sz00 = sdtasdt0(sz00,sK38(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_399])]) ).
fof(f1148,plain,
( ! [X2,X0,X1] :
( ~ sP18(X0,X1,X2)
| sz00 = sdtasdt0(sz00,sK38(X0,X1,X2)) )
| ~ spl55_67
| ~ spl55_102 ),
inference(resolution,[],[f1081,f828]) ).
fof(f4983,plain,
( spl55_398
| ~ spl55_66
| ~ spl55_102 ),
inference(avatar_split_clause,[],[f1147,f1080,f823,f4981]) ).
fof(f4981,plain,
( spl55_398
<=> ! [X2,X0,X1] :
( ~ sP18(X0,X1,X2)
| sz00 = sdtasdt0(sK38(X0,X1,X2),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_398])]) ).
fof(f1147,plain,
( ! [X2,X0,X1] :
( ~ sP18(X0,X1,X2)
| sz00 = sdtasdt0(sK38(X0,X1,X2),sz00) )
| ~ spl55_66
| ~ spl55_102 ),
inference(resolution,[],[f1081,f824]) ).
fof(f4979,plain,
( spl55_397
| ~ spl55_72
| ~ spl55_73 ),
inference(avatar_split_clause,[],[f904,f852,f848,f4977]) ).
fof(f4977,plain,
( spl55_397
<=> ! [X0,X1] :
( ~ sP22(X0,X1)
| sK42(X0,X1) = sdtasdt0(sz10,sK42(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_397])]) ).
fof(f904,plain,
( ! [X0,X1] :
( ~ sP22(X0,X1)
| sK42(X0,X1) = sdtasdt0(sz10,sK42(X0,X1)) )
| ~ spl55_72
| ~ spl55_73 ),
inference(resolution,[],[f853,f849]) ).
fof(f4975,plain,
( spl55_396
| ~ spl55_71
| ~ spl55_73 ),
inference(avatar_split_clause,[],[f903,f852,f844,f4973]) ).
fof(f4973,plain,
( spl55_396
<=> ! [X0,X1] :
( ~ sP22(X0,X1)
| sK42(X0,X1) = sdtasdt0(sK42(X0,X1),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_396])]) ).
fof(f903,plain,
( ! [X0,X1] :
( ~ sP22(X0,X1)
| sK42(X0,X1) = sdtasdt0(sK42(X0,X1),sz10) )
| ~ spl55_71
| ~ spl55_73 ),
inference(resolution,[],[f853,f845]) ).
fof(f4971,plain,
( spl55_395
| ~ spl55_70
| ~ spl55_73 ),
inference(avatar_split_clause,[],[f902,f852,f840,f4969]) ).
fof(f4969,plain,
( spl55_395
<=> ! [X0,X1] :
( ~ sP22(X0,X1)
| sK42(X0,X1) = sdtpldt0(sz00,sK42(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_395])]) ).
fof(f902,plain,
( ! [X0,X1] :
( ~ sP22(X0,X1)
| sK42(X0,X1) = sdtpldt0(sz00,sK42(X0,X1)) )
| ~ spl55_70
| ~ spl55_73 ),
inference(resolution,[],[f853,f841]) ).
fof(f4967,plain,
( spl55_394
| ~ spl55_27
| ~ spl55_357 ),
inference(avatar_split_clause,[],[f4080,f4076,f636,f4964]) ).
fof(f4964,plain,
( spl55_394
<=> sP23(sK51(stldt0(xB))) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_394])]) ).
fof(f4076,plain,
( spl55_357
<=> aInteger0(sK51(stldt0(xB))) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_357])]) ).
fof(f4080,plain,
( sP23(sK51(stldt0(xB)))
| ~ spl55_27
| ~ spl55_357 ),
inference(resolution,[],[f4078,f637]) ).
fof(f4078,plain,
( aInteger0(sK51(stldt0(xB)))
| ~ spl55_357 ),
inference(avatar_component_clause,[],[f4076]) ).
fof(f4962,plain,
( spl55_393
| ~ spl55_69
| ~ spl55_73 ),
inference(avatar_split_clause,[],[f901,f852,f836,f4960]) ).
fof(f4960,plain,
( spl55_393
<=> ! [X0,X1] :
( ~ sP22(X0,X1)
| sK42(X0,X1) = sdtpldt0(sK42(X0,X1),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_393])]) ).
fof(f901,plain,
( ! [X0,X1] :
( ~ sP22(X0,X1)
| sK42(X0,X1) = sdtpldt0(sK42(X0,X1),sz00) )
| ~ spl55_69
| ~ spl55_73 ),
inference(resolution,[],[f853,f837]) ).
fof(f4911,plain,
( ~ spl55_19
| spl55_392
| ~ spl55_44
| ~ spl55_176 ),
inference(avatar_split_clause,[],[f1738,f1684,f720,f4909,f598]) ).
fof(f4909,plain,
( spl55_392
<=> ! [X0] :
( aInteger0(sK46(X0,stldt0(xA)))
| sP26(X0,stldt0(xA)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_392])]) ).
fof(f1738,plain,
( ! [X0] :
( aInteger0(sK46(X0,stldt0(xA)))
| sP26(X0,stldt0(xA))
| ~ aSet0(stldt0(xA)) )
| ~ spl55_44
| ~ spl55_176 ),
inference(duplicate_literal_removal,[],[f1718]) ).
fof(f1718,plain,
( ! [X0] :
( aInteger0(sK46(X0,stldt0(xA)))
| sP26(X0,stldt0(xA))
| ~ aSet0(stldt0(xA))
| aInteger0(sK46(X0,stldt0(xA))) )
| ~ spl55_44
| ~ spl55_176 ),
inference(resolution,[],[f1685,f721]) ).
fof(f4868,plain,
( ~ spl55_21
| spl55_391
| ~ spl55_46
| ~ spl55_176 ),
inference(avatar_split_clause,[],[f1737,f1684,f728,f4866,f608]) ).
fof(f4866,plain,
( spl55_391
<=> ! [X0] :
( aInteger0(sK46(X0,stldt0(xB)))
| sP26(X0,stldt0(xB)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_391])]) ).
fof(f1737,plain,
( ! [X0] :
( aInteger0(sK46(X0,stldt0(xB)))
| sP26(X0,stldt0(xB))
| ~ aSet0(stldt0(xB)) )
| ~ spl55_46
| ~ spl55_176 ),
inference(duplicate_literal_removal,[],[f1721]) ).
fof(f1721,plain,
( ! [X0] :
( aInteger0(sK46(X0,stldt0(xB)))
| sP26(X0,stldt0(xB))
| ~ aSet0(stldt0(xB))
| aInteger0(sK46(X0,stldt0(xB))) )
| ~ spl55_46
| ~ spl55_176 ),
inference(resolution,[],[f1685,f729]) ).
fof(f4864,plain,
( spl55_390
| ~ spl55_43
| ~ spl55_155 ),
inference(avatar_split_clause,[],[f1541,f1440,f716,f4862]) ).
fof(f4862,plain,
( spl55_390
<=> ! [X0] :
( aInteger0(sK47(X0,xB))
| sP28(X0,xB)
| aElementOf0(sK47(X0,xB),cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_390])]) ).
fof(f1541,plain,
( ! [X0] :
( aInteger0(sK47(X0,xB))
| sP28(X0,xB)
| aElementOf0(sK47(X0,xB),cS1395) )
| ~ spl55_43
| ~ spl55_155 ),
inference(resolution,[],[f1441,f717]) ).
fof(f4860,plain,
( spl55_389
| ~ spl55_42
| ~ spl55_155 ),
inference(avatar_split_clause,[],[f1540,f1440,f712,f4858]) ).
fof(f4858,plain,
( spl55_389
<=> ! [X0] :
( aInteger0(sK47(X0,xA))
| sP28(X0,xA)
| aElementOf0(sK47(X0,xA),cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_389])]) ).
fof(f1540,plain,
( ! [X0] :
( aInteger0(sK47(X0,xA))
| sP28(X0,xA)
| aElementOf0(sK47(X0,xA),cS1395) )
| ~ spl55_42
| ~ spl55_155 ),
inference(resolution,[],[f1441,f713]) ).
fof(f4853,plain,
( spl55_388
| ~ spl55_27
| ~ spl55_337 ),
inference(avatar_split_clause,[],[f3745,f3741,f636,f4850]) ).
fof(f4850,plain,
( spl55_388
<=> sP23(sK50(stldt0(xA))) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_388])]) ).
fof(f3741,plain,
( spl55_337
<=> aInteger0(sK50(stldt0(xA))) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_337])]) ).
fof(f3745,plain,
( sP23(sK50(stldt0(xA)))
| ~ spl55_27
| ~ spl55_337 ),
inference(resolution,[],[f3743,f637]) ).
fof(f3743,plain,
( aInteger0(sK50(stldt0(xA)))
| ~ spl55_337 ),
inference(avatar_component_clause,[],[f3741]) ).
fof(f4848,plain,
( ~ spl55_6
| spl55_387
| ~ spl55_43
| ~ spl55_152 ),
inference(avatar_split_clause,[],[f1507,f1428,f716,f4846,f533]) ).
fof(f4846,plain,
( spl55_387
<=> ! [X0] :
( aSubsetOf0(xB,X0)
| aElementOf0(sK43(X0,xB),cS1395)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_387])]) ).
fof(f1507,plain,
( ! [X0] :
( aSubsetOf0(xB,X0)
| ~ aSet0(xB)
| ~ aSet0(X0)
| aElementOf0(sK43(X0,xB),cS1395) )
| ~ spl55_43
| ~ spl55_152 ),
inference(resolution,[],[f1429,f717]) ).
fof(f4841,plain,
( ~ spl55_4
| spl55_386
| ~ spl55_42
| ~ spl55_152 ),
inference(avatar_split_clause,[],[f1506,f1428,f712,f4839,f523]) ).
fof(f4839,plain,
( spl55_386
<=> ! [X0] :
( aSubsetOf0(xA,X0)
| aElementOf0(sK43(X0,xA),cS1395)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_386])]) ).
fof(f1506,plain,
( ! [X0] :
( aSubsetOf0(xA,X0)
| ~ aSet0(xA)
| ~ aSet0(X0)
| aElementOf0(sK43(X0,xA),cS1395) )
| ~ spl55_42
| ~ spl55_152 ),
inference(resolution,[],[f1429,f713]) ).
fof(f4836,plain,
( ~ spl55_385
| ~ spl55_21
| spl55_356
| ~ spl55_61
| ~ spl55_110 ),
inference(avatar_split_clause,[],[f1228,f1112,f800,f4063,f608,f4833]) ).
fof(f4833,plain,
( spl55_385
<=> aElementOf0(sK51(stldt0(xB)),xB) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_385])]) ).
fof(f4063,plain,
( spl55_356
<=> isOpen0(sbsmnsldt0(stldt0(xB))) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_356])]) ).
fof(f1228,plain,
( isOpen0(sbsmnsldt0(stldt0(xB)))
| ~ aSet0(stldt0(xB))
| ~ aElementOf0(sK51(stldt0(xB)),xB)
| ~ spl55_61
| ~ spl55_110 ),
inference(resolution,[],[f1113,f801]) ).
fof(f4446,plain,
( spl55_384
| ~ spl55_82
| ~ spl55_155 ),
inference(avatar_split_clause,[],[f1547,f1440,f939,f4444]) ).
fof(f4444,plain,
( spl55_384
<=> ! [X0] :
( aInteger0(sK47(X0,sdtbsmnsldt0(xA,xB)))
| sP28(X0,sdtbsmnsldt0(xA,xB)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_384])]) ).
fof(f1547,plain,
( ! [X0] :
( aInteger0(sK47(X0,sdtbsmnsldt0(xA,xB)))
| sP28(X0,sdtbsmnsldt0(xA,xB)) )
| ~ spl55_82
| ~ spl55_155 ),
inference(duplicate_literal_removal,[],[f1527]) ).
fof(f1527,plain,
( ! [X0] :
( aInteger0(sK47(X0,sdtbsmnsldt0(xA,xB)))
| sP28(X0,sdtbsmnsldt0(xA,xB))
| aInteger0(sK47(X0,sdtbsmnsldt0(xA,xB))) )
| ~ spl55_82
| ~ spl55_155 ),
inference(resolution,[],[f1441,f940]) ).
fof(f4442,plain,
( spl55_383
| ~ spl55_114
| ~ spl55_146 ),
inference(avatar_split_clause,[],[f1476,f1356,f1128,f4440]) ).
fof(f4440,plain,
( spl55_383
<=> ! [X0] :
( sdtasdt0(smndt0(sz10),X0) = sdtasdt0(X0,smndt0(sz10))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_383])]) ).
fof(f1476,plain,
( ! [X0] :
( sdtasdt0(smndt0(sz10),X0) = sdtasdt0(X0,smndt0(sz10))
| ~ aInteger0(X0) )
| ~ spl55_114
| ~ spl55_146 ),
inference(resolution,[],[f1129,f1357]) ).
fof(f4438,plain,
( spl55_382
| ~ spl55_114
| ~ spl55_145 ),
inference(avatar_split_clause,[],[f1475,f1352,f1128,f4436]) ).
fof(f4436,plain,
( spl55_382
<=> ! [X0] :
( sdtpldt0(X0,smndt0(sz10)) = sdtpldt0(smndt0(sz10),X0)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_382])]) ).
fof(f1475,plain,
( ! [X0] :
( sdtpldt0(X0,smndt0(sz10)) = sdtpldt0(smndt0(sz10),X0)
| ~ aInteger0(X0) )
| ~ spl55_114
| ~ spl55_145 ),
inference(resolution,[],[f1129,f1353]) ).
fof(f4434,plain,
( spl55_381
| ~ spl55_57
| ~ spl55_141 ),
inference(avatar_split_clause,[],[f1373,f1335,f774,f4432]) ).
fof(f4432,plain,
( spl55_381
<=> ! [X0,X1] :
( ~ aElementOf0(X0,sbsmnsldt0(X1))
| aElementOf0(X0,sK49(X1,X0))
| ~ sP29(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_381])]) ).
fof(f1335,plain,
( spl55_141
<=> ! [X5,X0,X1] :
( aElementOf0(X5,sK49(X0,X5))
| ~ aElementOf0(X5,X1)
| ~ sP28(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_141])]) ).
fof(f1373,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,sbsmnsldt0(X1))
| aElementOf0(X0,sK49(X1,X0))
| ~ sP29(X1) )
| ~ spl55_57
| ~ spl55_141 ),
inference(resolution,[],[f1336,f775]) ).
fof(f1336,plain,
( ! [X0,X1,X5] :
( ~ sP28(X0,X1)
| ~ aElementOf0(X5,X1)
| aElementOf0(X5,sK49(X0,X5)) )
| ~ spl55_141 ),
inference(avatar_component_clause,[],[f1335]) ).
fof(f4430,plain,
( spl55_380
| ~ spl55_57
| ~ spl55_140 ),
inference(avatar_split_clause,[],[f1372,f1331,f774,f4428]) ).
fof(f4428,plain,
( spl55_380
<=> ! [X0,X1] :
( ~ aElementOf0(X0,sbsmnsldt0(X1))
| aElementOf0(sK49(X1,X0),X1)
| ~ sP29(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_380])]) ).
fof(f1331,plain,
( spl55_140
<=> ! [X5,X0,X1] :
( aElementOf0(sK49(X0,X5),X0)
| ~ aElementOf0(X5,X1)
| ~ sP28(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_140])]) ).
fof(f1372,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,sbsmnsldt0(X1))
| aElementOf0(sK49(X1,X0),X1)
| ~ sP29(X1) )
| ~ spl55_57
| ~ spl55_140 ),
inference(resolution,[],[f1332,f775]) ).
fof(f1332,plain,
( ! [X0,X1,X5] :
( ~ sP28(X0,X1)
| ~ aElementOf0(X5,X1)
| aElementOf0(sK49(X0,X5),X0) )
| ~ spl55_140 ),
inference(avatar_component_clause,[],[f1331]) ).
fof(f4426,plain,
( spl55_379
| ~ spl55_56
| ~ spl55_138 ),
inference(avatar_split_clause,[],[f1369,f1323,f770,f4424]) ).
fof(f4424,plain,
( spl55_379
<=> ! [X0,X1] :
( aElementOf0(X0,X1)
| ~ aInteger0(X0)
| aElementOf0(X0,stldt0(X1))
| ~ sP27(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_379])]) ).
fof(f770,plain,
( spl55_56
<=> ! [X0] :
( sP26(X0,stldt0(X0))
| ~ sP27(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_56])]) ).
fof(f1323,plain,
( spl55_138
<=> ! [X0,X1,X3] :
( aElementOf0(X3,X1)
| aElementOf0(X3,X0)
| ~ aInteger0(X3)
| ~ sP26(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_138])]) ).
fof(f1369,plain,
( ! [X0,X1] :
( aElementOf0(X0,X1)
| ~ aInteger0(X0)
| aElementOf0(X0,stldt0(X1))
| ~ sP27(X1) )
| ~ spl55_56
| ~ spl55_138 ),
inference(resolution,[],[f1324,f771]) ).
fof(f771,plain,
( ! [X0] :
( sP26(X0,stldt0(X0))
| ~ sP27(X0) )
| ~ spl55_56 ),
inference(avatar_component_clause,[],[f770]) ).
fof(f1324,plain,
( ! [X3,X0,X1] :
( ~ sP26(X0,X1)
| aElementOf0(X3,X0)
| ~ aInteger0(X3)
| aElementOf0(X3,X1) )
| ~ spl55_138 ),
inference(avatar_component_clause,[],[f1323]) ).
fof(f4422,plain,
( spl55_378
| ~ spl55_34
| ~ spl55_106 ),
inference(avatar_split_clause,[],[f1182,f1096,f672,f4420]) ).
fof(f4420,plain,
( spl55_378
<=> ! [X0] :
( smndt0(sK39(X0)) = sdtasdt0(sK39(X0),smndt0(sz10))
| ~ sP17(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_378])]) ).
fof(f1182,plain,
( ! [X0] :
( smndt0(sK39(X0)) = sdtasdt0(sK39(X0),smndt0(sz10))
| ~ sP17(X0) )
| ~ spl55_34
| ~ spl55_106 ),
inference(resolution,[],[f1097,f673]) ).
fof(f4418,plain,
( spl55_377
| ~ spl55_33
| ~ spl55_106 ),
inference(avatar_split_clause,[],[f1180,f1096,f668,f4416]) ).
fof(f4416,plain,
( spl55_377
<=> ! [X0] :
( smndt0(sK37(X0)) = sdtasdt0(sK37(X0),smndt0(sz10))
| ~ sP21(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_377])]) ).
fof(f1180,plain,
( ! [X0] :
( smndt0(sK37(X0)) = sdtasdt0(sK37(X0),smndt0(sz10))
| ~ sP21(X0) )
| ~ spl55_33
| ~ spl55_106 ),
inference(resolution,[],[f1097,f669]) ).
fof(f4414,plain,
( spl55_376
| ~ spl55_35
| ~ spl55_106 ),
inference(avatar_split_clause,[],[f1177,f1096,f676,f4412]) ).
fof(f4412,plain,
( spl55_376
<=> ! [X0] :
( smndt0(smndt0(X0)) = sdtasdt0(smndt0(X0),smndt0(sz10))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_376])]) ).
fof(f1177,plain,
( ! [X0] :
( smndt0(smndt0(X0)) = sdtasdt0(smndt0(X0),smndt0(sz10))
| ~ aInteger0(X0) )
| ~ spl55_35
| ~ spl55_106 ),
inference(resolution,[],[f1097,f677]) ).
fof(f4410,plain,
( spl55_375
| ~ spl55_34
| ~ spl55_105 ),
inference(avatar_split_clause,[],[f1172,f1092,f672,f4408]) ).
fof(f4408,plain,
( spl55_375
<=> ! [X0] :
( smndt0(sK39(X0)) = sdtasdt0(smndt0(sz10),sK39(X0))
| ~ sP17(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_375])]) ).
fof(f1172,plain,
( ! [X0] :
( smndt0(sK39(X0)) = sdtasdt0(smndt0(sz10),sK39(X0))
| ~ sP17(X0) )
| ~ spl55_34
| ~ spl55_105 ),
inference(resolution,[],[f1093,f673]) ).
fof(f4406,plain,
( spl55_374
| ~ spl55_33
| ~ spl55_105 ),
inference(avatar_split_clause,[],[f1170,f1092,f668,f4404]) ).
fof(f4404,plain,
( spl55_374
<=> ! [X0] :
( smndt0(sK37(X0)) = sdtasdt0(smndt0(sz10),sK37(X0))
| ~ sP21(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_374])]) ).
fof(f1170,plain,
( ! [X0] :
( smndt0(sK37(X0)) = sdtasdt0(smndt0(sz10),sK37(X0))
| ~ sP21(X0) )
| ~ spl55_33
| ~ spl55_105 ),
inference(resolution,[],[f1093,f669]) ).
fof(f4402,plain,
( spl55_373
| ~ spl55_35
| ~ spl55_105 ),
inference(avatar_split_clause,[],[f1167,f1092,f676,f4400]) ).
fof(f4400,plain,
( spl55_373
<=> ! [X0] :
( smndt0(smndt0(X0)) = sdtasdt0(smndt0(sz10),smndt0(X0))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_373])]) ).
fof(f1167,plain,
( ! [X0] :
( smndt0(smndt0(X0)) = sdtasdt0(smndt0(sz10),smndt0(X0))
| ~ aInteger0(X0) )
| ~ spl55_35
| ~ spl55_105 ),
inference(resolution,[],[f1093,f677]) ).
fof(f4364,plain,
( spl55_371
| spl55_372
| ~ spl55_54
| ~ spl55_97 ),
inference(avatar_split_clause,[],[f1060,f1057,f762,f4361,f4357]) ).
fof(f1060,plain,
( aInteger0(sK44(stldt0(sdtbsmnsldt0(xA,xB))))
| sP24(stldt0(sdtbsmnsldt0(xA,xB)))
| ~ spl55_54
| ~ spl55_97 ),
inference(resolution,[],[f1058,f763]) ).
fof(f4355,plain,
( spl55_370
| ~ spl55_67
| ~ spl55_94 ),
inference(avatar_split_clause,[],[f1034,f990,f827,f4353]) ).
fof(f4353,plain,
( spl55_370
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = sdtasdt0(sz00,sdtasdt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_370])]) ).
fof(f1034,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = sdtasdt0(sz00,sdtasdt0(X1,X0)) )
| ~ spl55_67
| ~ spl55_94 ),
inference(resolution,[],[f991,f828]) ).
fof(f4351,plain,
( spl55_369
| ~ spl55_66
| ~ spl55_94 ),
inference(avatar_split_clause,[],[f1033,f990,f823,f4349]) ).
fof(f4349,plain,
( spl55_369
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = sdtasdt0(sdtasdt0(X1,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_369])]) ).
fof(f1033,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = sdtasdt0(sdtasdt0(X1,X0),sz00) )
| ~ spl55_66
| ~ spl55_94 ),
inference(resolution,[],[f991,f824]) ).
fof(f4347,plain,
( spl55_368
| ~ spl55_67
| ~ spl55_93 ),
inference(avatar_split_clause,[],[f1025,f986,f827,f4345]) ).
fof(f4345,plain,
( spl55_368
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = sdtasdt0(sz00,sdtpldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_368])]) ).
fof(f1025,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = sdtasdt0(sz00,sdtpldt0(X1,X0)) )
| ~ spl55_67
| ~ spl55_93 ),
inference(resolution,[],[f987,f828]) ).
fof(f4343,plain,
( spl55_367
| ~ spl55_66
| ~ spl55_93 ),
inference(avatar_split_clause,[],[f1024,f986,f823,f4341]) ).
fof(f4341,plain,
( spl55_367
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = sdtasdt0(sdtpldt0(X1,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_367])]) ).
fof(f1024,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = sdtasdt0(sdtpldt0(X1,X0),sz00) )
| ~ spl55_66
| ~ spl55_93 ),
inference(resolution,[],[f987,f824]) ).
fof(f4339,plain,
( spl55_366
| ~ spl55_27
| ~ spl55_334 ),
inference(avatar_split_clause,[],[f3894,f3474,f636,f4336]) ).
fof(f4336,plain,
( spl55_366
<=> sP23(sK51(xB)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_366])]) ).
fof(f3474,plain,
( spl55_334
<=> aInteger0(sK51(xB)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_334])]) ).
fof(f3894,plain,
( sP23(sK51(xB))
| ~ spl55_27
| ~ spl55_334 ),
inference(resolution,[],[f3476,f637]) ).
fof(f3476,plain,
( aInteger0(sK51(xB))
| ~ spl55_334 ),
inference(avatar_component_clause,[],[f3474]) ).
fof(f4179,plain,
( ~ spl55_5
| spl55_365
| ~ spl55_28
| ~ spl55_195 ),
inference(avatar_split_clause,[],[f2020,f1970,f642,f4177,f528]) ).
fof(f4177,plain,
( spl55_365
<=> ! [X0,X1] :
( aInteger0(sK52(X0,X1,cS1395))
| sP30(X0,X1,cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_365])]) ).
fof(f2020,plain,
( ! [X0,X1] :
( aInteger0(sK52(X0,X1,cS1395))
| sP30(X0,X1,cS1395)
| ~ aSet0(cS1395) )
| ~ spl55_28
| ~ spl55_195 ),
inference(duplicate_literal_removal,[],[f1993]) ).
fof(f1993,plain,
( ! [X0,X1] :
( aInteger0(sK52(X0,X1,cS1395))
| sP30(X0,X1,cS1395)
| ~ aSet0(cS1395)
| aInteger0(sK52(X0,X1,cS1395)) )
| ~ spl55_28
| ~ spl55_195 ),
inference(resolution,[],[f1971,f643]) ).
fof(f4175,plain,
( spl55_364
| ~ spl55_44
| ~ spl55_189 ),
inference(avatar_split_clause,[],[f1858,f1784,f720,f4173]) ).
fof(f4173,plain,
( spl55_364
<=> ! [X0,X1] :
( aInteger0(sK54(X0,X1,stldt0(xA)))
| sP33(X0,X1,stldt0(xA)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_364])]) ).
fof(f1858,plain,
( ! [X0,X1] :
( aInteger0(sK54(X0,X1,stldt0(xA)))
| sP33(X0,X1,stldt0(xA)) )
| ~ spl55_44
| ~ spl55_189 ),
inference(duplicate_literal_removal,[],[f1838]) ).
fof(f1838,plain,
( ! [X0,X1] :
( aInteger0(sK54(X0,X1,stldt0(xA)))
| sP33(X0,X1,stldt0(xA))
| aInteger0(sK54(X0,X1,stldt0(xA))) )
| ~ spl55_44
| ~ spl55_189 ),
inference(resolution,[],[f1785,f721]) ).
fof(f4171,plain,
( spl55_363
| ~ spl55_46
| ~ spl55_189 ),
inference(avatar_split_clause,[],[f1857,f1784,f728,f4169]) ).
fof(f4169,plain,
( spl55_363
<=> ! [X0,X1] :
( aInteger0(sK54(X0,X1,stldt0(xB)))
| sP33(X0,X1,stldt0(xB)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_363])]) ).
fof(f1857,plain,
( ! [X0,X1] :
( aInteger0(sK54(X0,X1,stldt0(xB)))
| sP33(X0,X1,stldt0(xB)) )
| ~ spl55_46
| ~ spl55_189 ),
inference(duplicate_literal_removal,[],[f1841]) ).
fof(f1841,plain,
( ! [X0,X1] :
( aInteger0(sK54(X0,X1,stldt0(xB)))
| sP33(X0,X1,stldt0(xB))
| aInteger0(sK54(X0,X1,stldt0(xB))) )
| ~ spl55_46
| ~ spl55_189 ),
inference(resolution,[],[f1785,f729]) ).
fof(f4167,plain,
( spl55_362
| ~ spl55_44
| ~ spl55_188 ),
inference(avatar_split_clause,[],[f1830,f1780,f720,f4165]) ).
fof(f4165,plain,
( spl55_362
<=> ! [X0,X1] :
( aInteger0(sK53(X0,X1,stldt0(xA)))
| sP32(X0,X1,stldt0(xA)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_362])]) ).
fof(f1830,plain,
( ! [X0,X1] :
( aInteger0(sK53(X0,X1,stldt0(xA)))
| sP32(X0,X1,stldt0(xA)) )
| ~ spl55_44
| ~ spl55_188 ),
inference(duplicate_literal_removal,[],[f1810]) ).
fof(f1810,plain,
( ! [X0,X1] :
( aInteger0(sK53(X0,X1,stldt0(xA)))
| sP32(X0,X1,stldt0(xA))
| aInteger0(sK53(X0,X1,stldt0(xA))) )
| ~ spl55_44
| ~ spl55_188 ),
inference(resolution,[],[f1781,f721]) ).
fof(f4163,plain,
( spl55_361
| ~ spl55_46
| ~ spl55_188 ),
inference(avatar_split_clause,[],[f1829,f1780,f728,f4161]) ).
fof(f4161,plain,
( spl55_361
<=> ! [X0,X1] :
( aInteger0(sK53(X0,X1,stldt0(xB)))
| sP32(X0,X1,stldt0(xB)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_361])]) ).
fof(f1829,plain,
( ! [X0,X1] :
( aInteger0(sK53(X0,X1,stldt0(xB)))
| sP32(X0,X1,stldt0(xB)) )
| ~ spl55_46
| ~ spl55_188 ),
inference(duplicate_literal_removal,[],[f1813]) ).
fof(f1813,plain,
( ! [X0,X1] :
( aInteger0(sK53(X0,X1,stldt0(xB)))
| sP32(X0,X1,stldt0(xB))
| aInteger0(sK53(X0,X1,stldt0(xB))) )
| ~ spl55_46
| ~ spl55_188 ),
inference(resolution,[],[f1781,f729]) ).
fof(f4159,plain,
( spl55_360
| ~ spl55_27
| ~ spl55_330 ),
inference(avatar_split_clause,[],[f3810,f3382,f636,f4156]) ).
fof(f4156,plain,
( spl55_360
<=> sP23(sK51(xA)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_360])]) ).
fof(f3382,plain,
( spl55_330
<=> aInteger0(sK51(xA)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_330])]) ).
fof(f3810,plain,
( sP23(sK51(xA))
| ~ spl55_27
| ~ spl55_330 ),
inference(resolution,[],[f3384,f637]) ).
fof(f3384,plain,
( aInteger0(sK51(xA))
| ~ spl55_330 ),
inference(avatar_component_clause,[],[f3382]) ).
fof(f4152,plain,
( ~ spl55_5
| spl55_359
| ~ spl55_29
| ~ spl55_153 ),
inference(avatar_split_clause,[],[f1509,f1432,f646,f4150,f528]) ).
fof(f4150,plain,
( spl55_359
<=> ! [X0] :
( aSubsetOf0(X0,cS1395)
| ~ aInteger0(sK43(cS1395,X0))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_359])]) ).
fof(f1432,plain,
( spl55_153
<=> ! [X0,X1] :
( aSubsetOf0(X1,X0)
| ~ aElementOf0(sK43(X0,X1),X0)
| ~ aSet0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_153])]) ).
fof(f1509,plain,
( ! [X0] :
( aSubsetOf0(X0,cS1395)
| ~ aSet0(X0)
| ~ aSet0(cS1395)
| ~ aInteger0(sK43(cS1395,X0)) )
| ~ spl55_29
| ~ spl55_153 ),
inference(resolution,[],[f1433,f647]) ).
fof(f1433,plain,
( ! [X0,X1] :
( ~ aElementOf0(sK43(X0,X1),X0)
| aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ~ aSet0(X0) )
| ~ spl55_153 ),
inference(avatar_component_clause,[],[f1432]) ).
fof(f4117,plain,
( ~ spl55_5
| spl55_358
| ~ spl55_28
| ~ spl55_152 ),
inference(avatar_split_clause,[],[f1491,f1428,f642,f4115,f528]) ).
fof(f4115,plain,
( spl55_358
<=> ! [X0] :
( aSubsetOf0(cS1395,X0)
| aInteger0(sK43(X0,cS1395))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_358])]) ).
fof(f1491,plain,
( ! [X0] :
( aSubsetOf0(cS1395,X0)
| ~ aSet0(cS1395)
| ~ aSet0(X0)
| aInteger0(sK43(X0,cS1395)) )
| ~ spl55_28
| ~ spl55_152 ),
inference(resolution,[],[f1429,f643]) ).
fof(f4079,plain,
( spl55_357
| ~ spl55_21
| spl55_356
| ~ spl55_46
| ~ spl55_110 ),
inference(avatar_split_clause,[],[f1230,f1112,f728,f4063,f608,f4076]) ).
fof(f1230,plain,
( isOpen0(sbsmnsldt0(stldt0(xB)))
| ~ aSet0(stldt0(xB))
| aInteger0(sK51(stldt0(xB)))
| ~ spl55_46
| ~ spl55_110 ),
inference(resolution,[],[f1113,f729]) ).
fof(f4066,plain,
( spl55_355
| ~ spl55_21
| spl55_356
| ~ spl55_47
| ~ spl55_110 ),
inference(avatar_split_clause,[],[f1229,f1112,f732,f4063,f608,f4059]) ).
fof(f4059,plain,
( spl55_355
<=> sP21(sK51(stldt0(xB))) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_355])]) ).
fof(f1229,plain,
( isOpen0(sbsmnsldt0(stldt0(xB)))
| ~ aSet0(stldt0(xB))
| sP21(sK51(stldt0(xB)))
| ~ spl55_47
| ~ spl55_110 ),
inference(resolution,[],[f1113,f733]) ).
fof(f4057,plain,
( spl55_354
| ~ spl55_27
| ~ spl55_304 ),
inference(avatar_split_clause,[],[f3558,f3160,f636,f4054]) ).
fof(f4054,plain,
( spl55_354
<=> sP23(sK50(xA)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_354])]) ).
fof(f3160,plain,
( spl55_304
<=> aInteger0(sK50(xA)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_304])]) ).
fof(f3558,plain,
( sP23(sK50(xA))
| ~ spl55_27
| ~ spl55_304 ),
inference(resolution,[],[f3162,f637]) ).
fof(f3162,plain,
( aInteger0(sK50(xA))
| ~ spl55_304 ),
inference(avatar_component_clause,[],[f3160]) ).
fof(f4052,plain,
( spl55_352
| ~ spl55_19
| spl55_353
| ~ spl55_45
| ~ spl55_110 ),
inference(avatar_split_clause,[],[f1226,f1112,f724,f4049,f598,f4045]) ).
fof(f4045,plain,
( spl55_352
<=> sP17(sK51(stldt0(xA))) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_352])]) ).
fof(f4049,plain,
( spl55_353
<=> isOpen0(sbsmnsldt0(stldt0(xA))) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_353])]) ).
fof(f1226,plain,
( isOpen0(sbsmnsldt0(stldt0(xA)))
| ~ aSet0(stldt0(xA))
| sP17(sK51(stldt0(xA)))
| ~ spl55_45
| ~ spl55_110 ),
inference(resolution,[],[f1113,f725]) ).
fof(f4042,plain,
( ~ spl55_351
| ~ spl55_19
| spl55_336
| ~ spl55_60
| ~ spl55_91 ),
inference(avatar_split_clause,[],[f1015,f978,f796,f3730,f598,f4039]) ).
fof(f4039,plain,
( spl55_351
<=> aElementOf0(sK50(stldt0(xA)),xA) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_351])]) ).
fof(f3730,plain,
( spl55_336
<=> sP29(stldt0(xA)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_336])]) ).
fof(f1015,plain,
( sP29(stldt0(xA))
| ~ aSet0(stldt0(xA))
| ~ aElementOf0(sK50(stldt0(xA)),xA)
| ~ spl55_60
| ~ spl55_91 ),
inference(resolution,[],[f979,f797]) ).
fof(f3861,plain,
( spl55_350
| ~ spl55_194 ),
inference(avatar_split_clause,[],[f1968,f1874,f3859]) ).
fof(f3859,plain,
( spl55_350
<=> ! [X0,X1] :
( aElementOf0(sK53(X0,X1,X0),X0)
| sP32(X0,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_350])]) ).
fof(f1968,plain,
( ! [X0,X1] :
( aElementOf0(sK53(X0,X1,X0),X0)
| sP32(X0,X1,X0) )
| ~ spl55_194 ),
inference(factoring,[],[f1875]) ).
fof(f3857,plain,
( spl55_349
| ~ spl55_193 ),
inference(avatar_split_clause,[],[f1925,f1870,f3855]) ).
fof(f3855,plain,
( spl55_349
<=> ! [X0,X1] :
( aElementOf0(sK53(X0,X1,X1),X1)
| sP32(X0,X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_349])]) ).
fof(f1925,plain,
( ! [X0,X1] :
( aElementOf0(sK53(X0,X1,X1),X1)
| sP32(X0,X1,X1) )
| ~ spl55_193 ),
inference(factoring,[],[f1871]) ).
fof(f3853,plain,
( spl55_348
| ~ spl55_111
| ~ spl55_117 ),
inference(avatar_split_clause,[],[f1234,f1142,f1116,f3851]) ).
fof(f3851,plain,
( spl55_348
<=> ! [X2,X0,X1] :
( ~ sP31(X0,X1)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_348])]) ).
fof(f1116,plain,
( spl55_111
<=> ! [X4,X0,X2,X1] :
( aInteger0(X4)
| ~ aElementOf0(X4,X2)
| ~ sP30(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_111])]) ).
fof(f1234,plain,
( ! [X2,X0,X1] :
( ~ sP31(X0,X1)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| aInteger0(X2) )
| ~ spl55_111
| ~ spl55_117 ),
inference(resolution,[],[f1143,f1117]) ).
fof(f1117,plain,
( ! [X2,X0,X1,X4] :
( ~ sP30(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| aInteger0(X4) )
| ~ spl55_111 ),
inference(avatar_component_clause,[],[f1116]) ).
fof(f3849,plain,
( spl55_347
| ~ spl55_34
| ~ spl55_84 ),
inference(avatar_split_clause,[],[f1003,f948,f672,f3847]) ).
fof(f3847,plain,
( spl55_347
<=> ! [X0] :
( sz00 = sdtpldt0(smndt0(sK39(X0)),sK39(X0))
| ~ sP17(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_347])]) ).
fof(f1003,plain,
( ! [X0] :
( sz00 = sdtpldt0(smndt0(sK39(X0)),sK39(X0))
| ~ sP17(X0) )
| ~ spl55_34
| ~ spl55_84 ),
inference(resolution,[],[f949,f673]) ).
fof(f3845,plain,
( spl55_346
| ~ spl55_33
| ~ spl55_84 ),
inference(avatar_split_clause,[],[f1002,f948,f668,f3843]) ).
fof(f3843,plain,
( spl55_346
<=> ! [X0] :
( sz00 = sdtpldt0(smndt0(sK37(X0)),sK37(X0))
| ~ sP21(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_346])]) ).
fof(f1002,plain,
( ! [X0] :
( sz00 = sdtpldt0(smndt0(sK37(X0)),sK37(X0))
| ~ sP21(X0) )
| ~ spl55_33
| ~ spl55_84 ),
inference(resolution,[],[f949,f669]) ).
fof(f3809,plain,
( spl55_345
| ~ spl55_35
| ~ spl55_84 ),
inference(avatar_split_clause,[],[f1001,f948,f676,f3807]) ).
fof(f3807,plain,
( spl55_345
<=> ! [X0] :
( sz00 = sdtpldt0(smndt0(smndt0(X0)),smndt0(X0))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_345])]) ).
fof(f1001,plain,
( ! [X0] :
( sz00 = sdtpldt0(smndt0(smndt0(X0)),smndt0(X0))
| ~ aInteger0(X0) )
| ~ spl55_35
| ~ spl55_84 ),
inference(resolution,[],[f949,f677]) ).
fof(f3805,plain,
( spl55_344
| ~ spl55_34
| ~ spl55_83 ),
inference(avatar_split_clause,[],[f997,f944,f672,f3803]) ).
fof(f3803,plain,
( spl55_344
<=> ! [X0] :
( sz00 = sdtpldt0(sK39(X0),smndt0(sK39(X0)))
| ~ sP17(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_344])]) ).
fof(f997,plain,
( ! [X0] :
( sz00 = sdtpldt0(sK39(X0),smndt0(sK39(X0)))
| ~ sP17(X0) )
| ~ spl55_34
| ~ spl55_83 ),
inference(resolution,[],[f945,f673]) ).
fof(f3801,plain,
( spl55_343
| ~ spl55_33
| ~ spl55_83 ),
inference(avatar_split_clause,[],[f996,f944,f668,f3799]) ).
fof(f3799,plain,
( spl55_343
<=> ! [X0] :
( sz00 = sdtpldt0(sK37(X0),smndt0(sK37(X0)))
| ~ sP21(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_343])]) ).
fof(f996,plain,
( ! [X0] :
( sz00 = sdtpldt0(sK37(X0),smndt0(sK37(X0)))
| ~ sP21(X0) )
| ~ spl55_33
| ~ spl55_83 ),
inference(resolution,[],[f945,f669]) ).
fof(f3797,plain,
( spl55_342
| ~ spl55_35
| ~ spl55_83 ),
inference(avatar_split_clause,[],[f995,f944,f676,f3795]) ).
fof(f3795,plain,
( spl55_342
<=> ! [X0] :
( sz00 = sdtpldt0(smndt0(X0),smndt0(smndt0(X0)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_342])]) ).
fof(f995,plain,
( ! [X0] :
( sz00 = sdtpldt0(smndt0(X0),smndt0(smndt0(X0)))
| ~ aInteger0(X0) )
| ~ spl55_35
| ~ spl55_83 ),
inference(resolution,[],[f945,f677]) ).
fof(f3793,plain,
( spl55_341
| ~ spl55_67
| ~ spl55_73 ),
inference(avatar_split_clause,[],[f900,f852,f827,f3791]) ).
fof(f3791,plain,
( spl55_341
<=> ! [X0,X1] :
( ~ sP22(X0,X1)
| sz00 = sdtasdt0(sz00,sK42(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_341])]) ).
fof(f900,plain,
( ! [X0,X1] :
( ~ sP22(X0,X1)
| sz00 = sdtasdt0(sz00,sK42(X0,X1)) )
| ~ spl55_67
| ~ spl55_73 ),
inference(resolution,[],[f853,f828]) ).
fof(f3789,plain,
( spl55_340
| ~ spl55_66
| ~ spl55_73 ),
inference(avatar_split_clause,[],[f899,f852,f823,f3787]) ).
fof(f3787,plain,
( spl55_340
<=> ! [X0,X1] :
( ~ sP22(X0,X1)
| sz00 = sdtasdt0(sK42(X0,X1),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_340])]) ).
fof(f899,plain,
( ! [X0,X1] :
( ~ sP22(X0,X1)
| sz00 = sdtasdt0(sK42(X0,X1),sz00) )
| ~ spl55_66
| ~ spl55_73 ),
inference(resolution,[],[f853,f824]) ).
fof(f3785,plain,
( spl55_338
| ~ spl55_21
| spl55_339
| ~ spl55_47
| ~ spl55_91 ),
inference(avatar_split_clause,[],[f1019,f978,f732,f3782,f608,f3778]) ).
fof(f3778,plain,
( spl55_338
<=> sP21(sK50(stldt0(xB))) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_338])]) ).
fof(f3782,plain,
( spl55_339
<=> sP29(stldt0(xB)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_339])]) ).
fof(f1019,plain,
( sP29(stldt0(xB))
| ~ aSet0(stldt0(xB))
| sP21(sK50(stldt0(xB)))
| ~ spl55_47
| ~ spl55_91 ),
inference(resolution,[],[f979,f733]) ).
fof(f3744,plain,
( spl55_337
| ~ spl55_19
| spl55_336
| ~ spl55_44
| ~ spl55_91 ),
inference(avatar_split_clause,[],[f1017,f978,f720,f3730,f598,f3741]) ).
fof(f1017,plain,
( sP29(stldt0(xA))
| ~ aSet0(stldt0(xA))
| aInteger0(sK50(stldt0(xA)))
| ~ spl55_44
| ~ spl55_91 ),
inference(resolution,[],[f979,f721]) ).
fof(f3733,plain,
( spl55_335
| ~ spl55_19
| spl55_336
| ~ spl55_45
| ~ spl55_91 ),
inference(avatar_split_clause,[],[f1016,f978,f724,f3730,f598,f3726]) ).
fof(f3726,plain,
( spl55_335
<=> sP17(sK50(stldt0(xA))) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_335])]) ).
fof(f1016,plain,
( sP29(stldt0(xA))
| ~ aSet0(stldt0(xA))
| sP17(sK50(stldt0(xA)))
| ~ spl55_45
| ~ spl55_91 ),
inference(resolution,[],[f979,f725]) ).
fof(f3477,plain,
( spl55_334
| ~ spl55_28
| ~ spl55_299 ),
inference(avatar_split_clause,[],[f3146,f3138,f642,f3474]) ).
fof(f3138,plain,
( spl55_299
<=> aElementOf0(sK51(xB),cS1395) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_299])]) ).
fof(f3146,plain,
( aInteger0(sK51(xB))
| ~ spl55_28
| ~ spl55_299 ),
inference(resolution,[],[f3140,f643]) ).
fof(f3140,plain,
( aElementOf0(sK51(xB),cS1395)
| ~ spl55_299 ),
inference(avatar_component_clause,[],[f3138]) ).
fof(f3398,plain,
( spl55_333
| ~ spl55_105
| ~ spl55_114 ),
inference(avatar_split_clause,[],[f1473,f1128,f1092,f3395]) ).
fof(f3395,plain,
( spl55_333
<=> smndt0(smndt0(sz10)) = sdtasdt0(smndt0(sz10),smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_333])]) ).
fof(f1473,plain,
( smndt0(smndt0(sz10)) = sdtasdt0(smndt0(sz10),smndt0(sz10))
| ~ spl55_105
| ~ spl55_114 ),
inference(resolution,[],[f1129,f1093]) ).
fof(f3393,plain,
( spl55_332
| ~ spl55_100
| ~ spl55_146 ),
inference(avatar_split_clause,[],[f1392,f1356,f1071,f3391]) ).
fof(f3391,plain,
( spl55_332
<=> ! [X0] :
( sdtasdt0(X0,sK34) = sdtasdt0(sK34,X0)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_332])]) ).
fof(f1392,plain,
( ! [X0] :
( sdtasdt0(X0,sK34) = sdtasdt0(sK34,X0)
| ~ aInteger0(X0) )
| ~ spl55_100
| ~ spl55_146 ),
inference(resolution,[],[f1357,f1073]) ).
fof(f3389,plain,
( spl55_331
| ~ spl55_15
| ~ spl55_146 ),
inference(avatar_split_clause,[],[f1388,f1356,f578,f3387]) ).
fof(f3387,plain,
( spl55_331
<=> ! [X0] :
( sdtasdt0(X0,sz10) = sdtasdt0(sz10,X0)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_331])]) ).
fof(f1388,plain,
( ! [X0] :
( sdtasdt0(X0,sz10) = sdtasdt0(sz10,X0)
| ~ aInteger0(X0) )
| ~ spl55_15
| ~ spl55_146 ),
inference(resolution,[],[f1357,f580]) ).
fof(f3385,plain,
( spl55_330
| ~ spl55_28
| ~ spl55_297 ),
inference(avatar_split_clause,[],[f3136,f3128,f642,f3382]) ).
fof(f3128,plain,
( spl55_297
<=> aElementOf0(sK51(xA),cS1395) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_297])]) ).
fof(f3136,plain,
( aInteger0(sK51(xA))
| ~ spl55_28
| ~ spl55_297 ),
inference(resolution,[],[f3130,f643]) ).
fof(f3130,plain,
( aElementOf0(sK51(xA),cS1395)
| ~ spl55_297 ),
inference(avatar_component_clause,[],[f3128]) ).
fof(f3380,plain,
( spl55_329
| ~ spl55_16
| ~ spl55_146 ),
inference(avatar_split_clause,[],[f1387,f1356,f583,f3378]) ).
fof(f3378,plain,
( spl55_329
<=> ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sz00,X0)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_329])]) ).
fof(f1387,plain,
( ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sz00,X0)
| ~ aInteger0(X0) )
| ~ spl55_16
| ~ spl55_146 ),
inference(resolution,[],[f1357,f585]) ).
fof(f3376,plain,
( spl55_328
| ~ spl55_100
| ~ spl55_145 ),
inference(avatar_split_clause,[],[f1380,f1352,f1071,f3374]) ).
fof(f3374,plain,
( spl55_328
<=> ! [X0] :
( sdtpldt0(X0,sK34) = sdtpldt0(sK34,X0)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_328])]) ).
fof(f1380,plain,
( ! [X0] :
( sdtpldt0(X0,sK34) = sdtpldt0(sK34,X0)
| ~ aInteger0(X0) )
| ~ spl55_100
| ~ spl55_145 ),
inference(resolution,[],[f1353,f1073]) ).
fof(f3372,plain,
( spl55_327
| ~ spl55_15
| ~ spl55_145 ),
inference(avatar_split_clause,[],[f1376,f1352,f578,f3370]) ).
fof(f3370,plain,
( spl55_327
<=> ! [X0] :
( sdtpldt0(X0,sz10) = sdtpldt0(sz10,X0)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_327])]) ).
fof(f1376,plain,
( ! [X0] :
( sdtpldt0(X0,sz10) = sdtpldt0(sz10,X0)
| ~ aInteger0(X0) )
| ~ spl55_15
| ~ spl55_145 ),
inference(resolution,[],[f1353,f580]) ).
fof(f3368,plain,
( spl55_326
| ~ spl55_16
| ~ spl55_145 ),
inference(avatar_split_clause,[],[f1375,f1352,f583,f3366]) ).
fof(f3366,plain,
( spl55_326
<=> ! [X0] :
( sdtpldt0(X0,sz00) = sdtpldt0(sz00,X0)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_326])]) ).
fof(f1375,plain,
( ! [X0] :
( sdtpldt0(X0,sz00) = sdtpldt0(sz00,X0)
| ~ aInteger0(X0) )
| ~ spl55_16
| ~ spl55_145 ),
inference(resolution,[],[f1353,f585]) ).
fof(f3364,plain,
( spl55_325
| ~ spl55_56
| ~ spl55_109 ),
inference(avatar_split_clause,[],[f1222,f1108,f770,f3362]) ).
fof(f3362,plain,
( spl55_325
<=> ! [X0,X1] :
( ~ aElementOf0(X0,stldt0(X1))
| ~ aElementOf0(X0,X1)
| ~ sP27(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_325])]) ).
fof(f1108,plain,
( spl55_109
<=> ! [X0,X1,X3] :
( ~ aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ sP26(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_109])]) ).
fof(f1222,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,stldt0(X1))
| ~ aElementOf0(X0,X1)
| ~ sP27(X1) )
| ~ spl55_56
| ~ spl55_109 ),
inference(resolution,[],[f1109,f771]) ).
fof(f1109,plain,
( ! [X3,X0,X1] :
( ~ sP26(X0,X1)
| ~ aElementOf0(X3,X1)
| ~ aElementOf0(X3,X0) )
| ~ spl55_109 ),
inference(avatar_component_clause,[],[f1108]) ).
fof(f3360,plain,
( spl55_324
| ~ spl55_27
| ~ spl55_107 ),
inference(avatar_split_clause,[],[f1185,f1100,f636,f3358]) ).
fof(f3358,plain,
( spl55_324
<=> ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP24(X1)
| sP23(sK45(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_324])]) ).
fof(f1185,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP24(X1)
| sP23(sK45(X1,X0)) )
| ~ spl55_27
| ~ spl55_107 ),
inference(resolution,[],[f1101,f637]) ).
fof(f3356,plain,
( spl55_323
| ~ spl55_27
| ~ spl55_104 ),
inference(avatar_split_clause,[],[f1156,f1088,f636,f3354]) ).
fof(f3354,plain,
( spl55_323
<=> ! [X2,X0,X1] :
( ~ sP14(X0,X1,X2)
| sP23(sK40(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_323])]) ).
fof(f1156,plain,
( ! [X2,X0,X1] :
( ~ sP14(X0,X1,X2)
| sP23(sK40(X0,X1,X2)) )
| ~ spl55_27
| ~ spl55_104 ),
inference(resolution,[],[f1089,f637]) ).
fof(f3352,plain,
( spl55_322
| ~ spl55_27
| ~ spl55_102 ),
inference(avatar_split_clause,[],[f1146,f1080,f636,f3350]) ).
fof(f3350,plain,
( spl55_322
<=> ! [X2,X0,X1] :
( ~ sP18(X0,X1,X2)
| sP23(sK38(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_322])]) ).
fof(f1146,plain,
( ! [X2,X0,X1] :
( ~ sP18(X0,X1,X2)
| sP23(sK38(X0,X1,X2)) )
| ~ spl55_27
| ~ spl55_102 ),
inference(resolution,[],[f1081,f637]) ).
fof(f3328,plain,
( spl55_320
| spl55_321
| ~ spl55_54
| ~ spl55_82 ),
inference(avatar_split_clause,[],[f942,f939,f762,f3325,f3321]) ).
fof(f942,plain,
( aInteger0(sK44(sdtbsmnsldt0(xA,xB)))
| sP24(sdtbsmnsldt0(xA,xB))
| ~ spl55_54
| ~ spl55_82 ),
inference(resolution,[],[f940,f763]) ).
fof(f3319,plain,
( spl55_319
| ~ spl55_34
| ~ spl55_72 ),
inference(avatar_split_clause,[],[f897,f848,f672,f3317]) ).
fof(f3317,plain,
( spl55_319
<=> ! [X0] :
( sK39(X0) = sdtasdt0(sz10,sK39(X0))
| ~ sP17(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_319])]) ).
fof(f897,plain,
( ! [X0] :
( sK39(X0) = sdtasdt0(sz10,sK39(X0))
| ~ sP17(X0) )
| ~ spl55_34
| ~ spl55_72 ),
inference(resolution,[],[f849,f673]) ).
fof(f3315,plain,
( spl55_318
| ~ spl55_33
| ~ spl55_72 ),
inference(avatar_split_clause,[],[f896,f848,f668,f3313]) ).
fof(f3313,plain,
( spl55_318
<=> ! [X0] :
( sK37(X0) = sdtasdt0(sz10,sK37(X0))
| ~ sP21(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_318])]) ).
fof(f896,plain,
( ! [X0] :
( sK37(X0) = sdtasdt0(sz10,sK37(X0))
| ~ sP21(X0) )
| ~ spl55_33
| ~ spl55_72 ),
inference(resolution,[],[f849,f669]) ).
fof(f3311,plain,
( spl55_317
| ~ spl55_35
| ~ spl55_72 ),
inference(avatar_split_clause,[],[f895,f848,f676,f3309]) ).
fof(f3309,plain,
( spl55_317
<=> ! [X0] :
( smndt0(X0) = sdtasdt0(sz10,smndt0(X0))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_317])]) ).
fof(f895,plain,
( ! [X0] :
( smndt0(X0) = sdtasdt0(sz10,smndt0(X0))
| ~ aInteger0(X0) )
| ~ spl55_35
| ~ spl55_72 ),
inference(resolution,[],[f849,f677]) ).
fof(f3307,plain,
( spl55_316
| ~ spl55_34
| ~ spl55_71 ),
inference(avatar_split_clause,[],[f892,f844,f672,f3305]) ).
fof(f3305,plain,
( spl55_316
<=> ! [X0] :
( sK39(X0) = sdtasdt0(sK39(X0),sz10)
| ~ sP17(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_316])]) ).
fof(f892,plain,
( ! [X0] :
( sK39(X0) = sdtasdt0(sK39(X0),sz10)
| ~ sP17(X0) )
| ~ spl55_34
| ~ spl55_71 ),
inference(resolution,[],[f845,f673]) ).
fof(f3303,plain,
( spl55_315
| ~ spl55_33
| ~ spl55_71 ),
inference(avatar_split_clause,[],[f891,f844,f668,f3301]) ).
fof(f3301,plain,
( spl55_315
<=> ! [X0] :
( sK37(X0) = sdtasdt0(sK37(X0),sz10)
| ~ sP21(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_315])]) ).
fof(f891,plain,
( ! [X0] :
( sK37(X0) = sdtasdt0(sK37(X0),sz10)
| ~ sP21(X0) )
| ~ spl55_33
| ~ spl55_71 ),
inference(resolution,[],[f845,f669]) ).
fof(f3299,plain,
( spl55_314
| ~ spl55_35
| ~ spl55_71 ),
inference(avatar_split_clause,[],[f890,f844,f676,f3297]) ).
fof(f3297,plain,
( spl55_314
<=> ! [X0] :
( smndt0(X0) = sdtasdt0(smndt0(X0),sz10)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_314])]) ).
fof(f890,plain,
( ! [X0] :
( smndt0(X0) = sdtasdt0(smndt0(X0),sz10)
| ~ aInteger0(X0) )
| ~ spl55_35
| ~ spl55_71 ),
inference(resolution,[],[f845,f677]) ).
fof(f3295,plain,
( spl55_313
| ~ spl55_34
| ~ spl55_70 ),
inference(avatar_split_clause,[],[f887,f840,f672,f3293]) ).
fof(f3293,plain,
( spl55_313
<=> ! [X0] :
( sK39(X0) = sdtpldt0(sz00,sK39(X0))
| ~ sP17(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_313])]) ).
fof(f887,plain,
( ! [X0] :
( sK39(X0) = sdtpldt0(sz00,sK39(X0))
| ~ sP17(X0) )
| ~ spl55_34
| ~ spl55_70 ),
inference(resolution,[],[f841,f673]) ).
fof(f3291,plain,
( spl55_312
| ~ spl55_33
| ~ spl55_70 ),
inference(avatar_split_clause,[],[f886,f840,f668,f3289]) ).
fof(f3289,plain,
( spl55_312
<=> ! [X0] :
( sK37(X0) = sdtpldt0(sz00,sK37(X0))
| ~ sP21(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_312])]) ).
fof(f886,plain,
( ! [X0] :
( sK37(X0) = sdtpldt0(sz00,sK37(X0))
| ~ sP21(X0) )
| ~ spl55_33
| ~ spl55_70 ),
inference(resolution,[],[f841,f669]) ).
fof(f3287,plain,
( spl55_311
| ~ spl55_35
| ~ spl55_70 ),
inference(avatar_split_clause,[],[f885,f840,f676,f3285]) ).
fof(f3285,plain,
( spl55_311
<=> ! [X0] :
( smndt0(X0) = sdtpldt0(sz00,smndt0(X0))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_311])]) ).
fof(f885,plain,
( ! [X0] :
( smndt0(X0) = sdtpldt0(sz00,smndt0(X0))
| ~ aInteger0(X0) )
| ~ spl55_35
| ~ spl55_70 ),
inference(resolution,[],[f841,f677]) ).
fof(f3283,plain,
( ~ spl55_310
| ~ spl55_29
| spl55_280 ),
inference(avatar_split_clause,[],[f2917,f2909,f646,f3280]) ).
fof(f3280,plain,
( spl55_310
<=> aInteger0(sK50(xB)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_310])]) ).
fof(f2909,plain,
( spl55_280
<=> aElementOf0(sK50(xB),cS1395) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_280])]) ).
fof(f2917,plain,
( ~ aInteger0(sK50(xB))
| ~ spl55_29
| spl55_280 ),
inference(resolution,[],[f2910,f647]) ).
fof(f2910,plain,
( ~ aElementOf0(sK50(xB),cS1395)
| spl55_280 ),
inference(avatar_component_clause,[],[f2909]) ).
fof(f3278,plain,
( spl55_309
| ~ spl55_34
| ~ spl55_69 ),
inference(avatar_split_clause,[],[f882,f836,f672,f3276]) ).
fof(f3276,plain,
( spl55_309
<=> ! [X0] :
( sK39(X0) = sdtpldt0(sK39(X0),sz00)
| ~ sP17(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_309])]) ).
fof(f882,plain,
( ! [X0] :
( sK39(X0) = sdtpldt0(sK39(X0),sz00)
| ~ sP17(X0) )
| ~ spl55_34
| ~ spl55_69 ),
inference(resolution,[],[f837,f673]) ).
fof(f3274,plain,
( spl55_308
| ~ spl55_33
| ~ spl55_69 ),
inference(avatar_split_clause,[],[f881,f836,f668,f3272]) ).
fof(f3272,plain,
( spl55_308
<=> ! [X0] :
( sK37(X0) = sdtpldt0(sK37(X0),sz00)
| ~ sP21(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_308])]) ).
fof(f881,plain,
( ! [X0] :
( sK37(X0) = sdtpldt0(sK37(X0),sz00)
| ~ sP21(X0) )
| ~ spl55_33
| ~ spl55_69 ),
inference(resolution,[],[f837,f669]) ).
fof(f3270,plain,
( spl55_307
| ~ spl55_35
| ~ spl55_69 ),
inference(avatar_split_clause,[],[f880,f836,f676,f3268]) ).
fof(f3268,plain,
( spl55_307
<=> ! [X0] :
( smndt0(X0) = sdtpldt0(smndt0(X0),sz00)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_307])]) ).
fof(f880,plain,
( ! [X0] :
( smndt0(X0) = sdtpldt0(smndt0(X0),sz00)
| ~ aInteger0(X0) )
| ~ spl55_35
| ~ spl55_69 ),
inference(resolution,[],[f837,f677]) ).
fof(f3190,plain,
( spl55_306
| ~ spl55_28
| ~ spl55_189 ),
inference(avatar_split_clause,[],[f1860,f1784,f642,f3188]) ).
fof(f3188,plain,
( spl55_306
<=> ! [X0,X1] :
( aInteger0(sK54(X0,X1,cS1395))
| sP33(X0,X1,cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_306])]) ).
fof(f1860,plain,
( ! [X0,X1] :
( aInteger0(sK54(X0,X1,cS1395))
| sP33(X0,X1,cS1395) )
| ~ spl55_28
| ~ spl55_189 ),
inference(duplicate_literal_removal,[],[f1833]) ).
fof(f1833,plain,
( ! [X0,X1] :
( aInteger0(sK54(X0,X1,cS1395))
| sP33(X0,X1,cS1395)
| aInteger0(sK54(X0,X1,cS1395)) )
| ~ spl55_28
| ~ spl55_189 ),
inference(resolution,[],[f1785,f643]) ).
fof(f3186,plain,
( spl55_305
| ~ spl55_28
| ~ spl55_188 ),
inference(avatar_split_clause,[],[f1832,f1780,f642,f3184]) ).
fof(f3184,plain,
( spl55_305
<=> ! [X0,X1] :
( aInteger0(sK53(X0,X1,cS1395))
| sP32(X0,X1,cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_305])]) ).
fof(f1832,plain,
( ! [X0,X1] :
( aInteger0(sK53(X0,X1,cS1395))
| sP32(X0,X1,cS1395) )
| ~ spl55_28
| ~ spl55_188 ),
inference(duplicate_literal_removal,[],[f1805]) ).
fof(f1805,plain,
( ! [X0,X1] :
( aInteger0(sK53(X0,X1,cS1395))
| sP32(X0,X1,cS1395)
| aInteger0(sK53(X0,X1,cS1395)) )
| ~ spl55_28
| ~ spl55_188 ),
inference(resolution,[],[f1781,f643]) ).
fof(f3163,plain,
( spl55_304
| ~ spl55_28
| ~ spl55_278 ),
inference(avatar_split_clause,[],[f2907,f2899,f642,f3160]) ).
fof(f2899,plain,
( spl55_278
<=> aElementOf0(sK50(xA),cS1395) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_278])]) ).
fof(f2907,plain,
( aInteger0(sK50(xA))
| ~ spl55_28
| ~ spl55_278 ),
inference(resolution,[],[f2901,f643]) ).
fof(f2901,plain,
( aElementOf0(sK50(xA),cS1395)
| ~ spl55_278 ),
inference(avatar_component_clause,[],[f2899]) ).
fof(f3158,plain,
( ~ spl55_5
| spl55_303
| ~ spl55_28
| ~ spl55_176 ),
inference(avatar_split_clause,[],[f1740,f1684,f642,f3156,f528]) ).
fof(f3156,plain,
( spl55_303
<=> ! [X0] :
( aInteger0(sK46(X0,cS1395))
| sP26(X0,cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_303])]) ).
fof(f1740,plain,
( ! [X0] :
( aInteger0(sK46(X0,cS1395))
| sP26(X0,cS1395)
| ~ aSet0(cS1395) )
| ~ spl55_28
| ~ spl55_176 ),
inference(duplicate_literal_removal,[],[f1713]) ).
fof(f1713,plain,
( ! [X0] :
( aInteger0(sK46(X0,cS1395))
| sP26(X0,cS1395)
| ~ aSet0(cS1395)
| aInteger0(sK46(X0,cS1395)) )
| ~ spl55_28
| ~ spl55_176 ),
inference(resolution,[],[f1685,f643]) ).
fof(f3154,plain,
( spl55_302
| ~ spl55_44
| ~ spl55_155 ),
inference(avatar_split_clause,[],[f1546,f1440,f720,f3152]) ).
fof(f3152,plain,
( spl55_302
<=> ! [X0] :
( aInteger0(sK47(X0,stldt0(xA)))
| sP28(X0,stldt0(xA)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_302])]) ).
fof(f1546,plain,
( ! [X0] :
( aInteger0(sK47(X0,stldt0(xA)))
| sP28(X0,stldt0(xA)) )
| ~ spl55_44
| ~ spl55_155 ),
inference(duplicate_literal_removal,[],[f1530]) ).
fof(f1530,plain,
( ! [X0] :
( aInteger0(sK47(X0,stldt0(xA)))
| sP28(X0,stldt0(xA))
| aInteger0(sK47(X0,stldt0(xA))) )
| ~ spl55_44
| ~ spl55_155 ),
inference(resolution,[],[f1441,f721]) ).
fof(f3150,plain,
( spl55_301
| ~ spl55_46
| ~ spl55_155 ),
inference(avatar_split_clause,[],[f1545,f1440,f728,f3148]) ).
fof(f3148,plain,
( spl55_301
<=> ! [X0] :
( aInteger0(sK47(X0,stldt0(xB)))
| sP28(X0,stldt0(xB)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_301])]) ).
fof(f1545,plain,
( ! [X0] :
( aInteger0(sK47(X0,stldt0(xB)))
| sP28(X0,stldt0(xB)) )
| ~ spl55_46
| ~ spl55_155 ),
inference(duplicate_literal_removal,[],[f1533]) ).
fof(f1533,plain,
( ! [X0] :
( aInteger0(sK47(X0,stldt0(xB)))
| sP28(X0,stldt0(xB))
| aInteger0(sK47(X0,stldt0(xB))) )
| ~ spl55_46
| ~ spl55_155 ),
inference(resolution,[],[f1441,f729]) ).
fof(f3145,plain,
( spl55_299
| ~ spl55_6
| spl55_300
| ~ spl55_43
| ~ spl55_110 ),
inference(avatar_split_clause,[],[f1233,f1112,f716,f3142,f533,f3138]) ).
fof(f3142,plain,
( spl55_300
<=> isOpen0(sbsmnsldt0(xB)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_300])]) ).
fof(f1233,plain,
( isOpen0(sbsmnsldt0(xB))
| ~ aSet0(xB)
| aElementOf0(sK51(xB),cS1395)
| ~ spl55_43
| ~ spl55_110 ),
inference(resolution,[],[f1113,f717]) ).
fof(f3135,plain,
( spl55_297
| ~ spl55_4
| spl55_298
| ~ spl55_42
| ~ spl55_110 ),
inference(avatar_split_clause,[],[f1232,f1112,f712,f3132,f523,f3128]) ).
fof(f3132,plain,
( spl55_298
<=> isOpen0(sbsmnsldt0(xA)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_298])]) ).
fof(f1232,plain,
( isOpen0(sbsmnsldt0(xA))
| ~ aSet0(xA)
| aElementOf0(sK51(xA),cS1395)
| ~ spl55_42
| ~ spl55_110 ),
inference(resolution,[],[f1113,f713]) ).
fof(f2981,plain,
( spl55_296
| ~ spl55_84
| ~ spl55_114 ),
inference(avatar_split_clause,[],[f1472,f1128,f948,f2978]) ).
fof(f2978,plain,
( spl55_296
<=> sz00 = sdtpldt0(smndt0(smndt0(sz10)),smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_296])]) ).
fof(f1472,plain,
( sz00 = sdtpldt0(smndt0(smndt0(sz10)),smndt0(sz10))
| ~ spl55_84
| ~ spl55_114 ),
inference(resolution,[],[f1129,f949]) ).
fof(f2976,plain,
( spl55_295
| ~ spl55_83
| ~ spl55_114 ),
inference(avatar_split_clause,[],[f1471,f1128,f944,f2973]) ).
fof(f2973,plain,
( spl55_295
<=> sz00 = sdtpldt0(smndt0(sz10),smndt0(smndt0(sz10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_295])]) ).
fof(f1471,plain,
( sz00 = sdtpldt0(smndt0(sz10),smndt0(smndt0(sz10)))
| ~ spl55_83
| ~ spl55_114 ),
inference(resolution,[],[f1129,f945]) ).
fof(f2971,plain,
( spl55_294
| ~ spl55_27
| ~ spl55_94 ),
inference(avatar_split_clause,[],[f1032,f990,f636,f2969]) ).
fof(f2969,plain,
( spl55_294
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sP23(sdtasdt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_294])]) ).
fof(f1032,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sP23(sdtasdt0(X1,X0)) )
| ~ spl55_27
| ~ spl55_94 ),
inference(resolution,[],[f991,f637]) ).
fof(f2967,plain,
( spl55_293
| ~ spl55_27
| ~ spl55_93 ),
inference(avatar_split_clause,[],[f1023,f986,f636,f2965]) ).
fof(f2965,plain,
( spl55_293
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sP23(sdtpldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_293])]) ).
fof(f1023,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sP23(sdtpldt0(X1,X0)) )
| ~ spl55_27
| ~ spl55_93 ),
inference(resolution,[],[f987,f637]) ).
fof(f2963,plain,
( spl55_292
| ~ spl55_57
| ~ spl55_90 ),
inference(avatar_split_clause,[],[f1012,f972,f774,f2961]) ).
fof(f2961,plain,
( spl55_292
<=> ! [X0,X1] :
( ~ aElementOf0(X0,sbsmnsldt0(X1))
| aInteger0(X0)
| ~ sP29(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_292])]) ).
fof(f972,plain,
( spl55_90
<=> ! [X5,X1,X0] :
( aInteger0(X5)
| ~ aElementOf0(X5,X1)
| ~ sP28(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_90])]) ).
fof(f1012,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,sbsmnsldt0(X1))
| aInteger0(X0)
| ~ sP29(X1) )
| ~ spl55_57
| ~ spl55_90 ),
inference(resolution,[],[f973,f775]) ).
fof(f973,plain,
( ! [X0,X1,X5] :
( ~ sP28(X0,X1)
| ~ aElementOf0(X5,X1)
| aInteger0(X5) )
| ~ spl55_90 ),
inference(avatar_component_clause,[],[f972]) ).
fof(f2959,plain,
( spl55_291
| ~ spl55_56
| ~ spl55_89 ),
inference(avatar_split_clause,[],[f1011,f968,f770,f2957]) ).
fof(f2957,plain,
( spl55_291
<=> ! [X0,X1] :
( ~ aElementOf0(X0,stldt0(X1))
| aInteger0(X0)
| ~ sP27(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_291])]) ).
fof(f968,plain,
( spl55_89
<=> ! [X0,X1,X3] :
( aInteger0(X3)
| ~ aElementOf0(X3,X1)
| ~ sP26(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_89])]) ).
fof(f1011,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,stldt0(X1))
| aInteger0(X0)
| ~ sP27(X1) )
| ~ spl55_56
| ~ spl55_89 ),
inference(resolution,[],[f969,f771]) ).
fof(f969,plain,
( ! [X3,X0,X1] :
( ~ sP26(X0,X1)
| ~ aElementOf0(X3,X1)
| aInteger0(X3) )
| ~ spl55_89 ),
inference(avatar_component_clause,[],[f968]) ).
fof(f2955,plain,
( spl55_290
| ~ spl55_34
| ~ spl55_67 ),
inference(avatar_split_clause,[],[f877,f827,f672,f2953]) ).
fof(f877,plain,
( ! [X0] :
( sz00 = sdtasdt0(sz00,sK39(X0))
| ~ sP17(X0) )
| ~ spl55_34
| ~ spl55_67 ),
inference(resolution,[],[f828,f673]) ).
fof(f2951,plain,
( spl55_289
| ~ spl55_33
| ~ spl55_67 ),
inference(avatar_split_clause,[],[f876,f827,f668,f2949]) ).
fof(f876,plain,
( ! [X0] :
( sz00 = sdtasdt0(sz00,sK37(X0))
| ~ sP21(X0) )
| ~ spl55_33
| ~ spl55_67 ),
inference(resolution,[],[f828,f669]) ).
fof(f2947,plain,
( spl55_288
| ~ spl55_35
| ~ spl55_67 ),
inference(avatar_split_clause,[],[f875,f827,f676,f2945]) ).
fof(f875,plain,
( ! [X0] :
( sz00 = sdtasdt0(sz00,smndt0(X0))
| ~ aInteger0(X0) )
| ~ spl55_35
| ~ spl55_67 ),
inference(resolution,[],[f828,f677]) ).
fof(f2943,plain,
( spl55_287
| ~ spl55_42
| ~ spl55_181 ),
inference(avatar_split_clause,[],[f2627,f1751,f712,f2940]) ).
fof(f2627,plain,
( aElementOf0(sK34,cS1395)
| ~ spl55_42
| ~ spl55_181 ),
inference(resolution,[],[f1752,f713]) ).
fof(f1752,plain,
( aElementOf0(sK34,xA)
| ~ spl55_181 ),
inference(avatar_component_clause,[],[f1751]) ).
fof(f2938,plain,
( spl55_286
| ~ spl55_34
| ~ spl55_66 ),
inference(avatar_split_clause,[],[f872,f823,f672,f2936]) ).
fof(f872,plain,
( ! [X0] :
( sz00 = sdtasdt0(sK39(X0),sz00)
| ~ sP17(X0) )
| ~ spl55_34
| ~ spl55_66 ),
inference(resolution,[],[f824,f673]) ).
fof(f2934,plain,
( spl55_285
| ~ spl55_33
| ~ spl55_66 ),
inference(avatar_split_clause,[],[f871,f823,f668,f2932]) ).
fof(f871,plain,
( ! [X0] :
( sz00 = sdtasdt0(sK37(X0),sz00)
| ~ sP21(X0) )
| ~ spl55_33
| ~ spl55_66 ),
inference(resolution,[],[f824,f669]) ).
fof(f2930,plain,
( spl55_284
| ~ spl55_35
| ~ spl55_66 ),
inference(avatar_split_clause,[],[f870,f823,f676,f2928]) ).
fof(f870,plain,
( ! [X0] :
( sz00 = sdtasdt0(smndt0(X0),sz00)
| ~ aInteger0(X0) )
| ~ spl55_35
| ~ spl55_66 ),
inference(resolution,[],[f824,f677]) ).
fof(f2926,plain,
( spl55_282
| ~ spl55_5
| spl55_283
| ~ spl55_28
| ~ spl55_110 ),
inference(avatar_split_clause,[],[f1223,f1112,f642,f2923,f528,f2919]) ).
fof(f2919,plain,
( spl55_282
<=> aInteger0(sK51(cS1395)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_282])]) ).
fof(f2923,plain,
( spl55_283
<=> isOpen0(sbsmnsldt0(cS1395)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_283])]) ).
fof(f1223,plain,
( isOpen0(sbsmnsldt0(cS1395))
| ~ aSet0(cS1395)
| aInteger0(sK51(cS1395))
| ~ spl55_28
| ~ spl55_110 ),
inference(resolution,[],[f1113,f643]) ).
fof(f2916,plain,
( spl55_280
| ~ spl55_6
| spl55_281
| ~ spl55_43
| ~ spl55_91 ),
inference(avatar_split_clause,[],[f1022,f978,f716,f2913,f533,f2909]) ).
fof(f2913,plain,
( spl55_281
<=> sP29(xB) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_281])]) ).
fof(f1022,plain,
( sP29(xB)
| ~ aSet0(xB)
| aElementOf0(sK50(xB),cS1395)
| ~ spl55_43
| ~ spl55_91 ),
inference(resolution,[],[f979,f717]) ).
fof(f2906,plain,
( spl55_278
| ~ spl55_4
| spl55_279
| ~ spl55_42
| ~ spl55_91 ),
inference(avatar_split_clause,[],[f1021,f978,f712,f2903,f523,f2899]) ).
fof(f2903,plain,
( spl55_279
<=> sP29(xA) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_279])]) ).
fof(f1021,plain,
( sP29(xA)
| ~ aSet0(xA)
| aElementOf0(sK50(xA),cS1395)
| ~ spl55_42
| ~ spl55_91 ),
inference(resolution,[],[f979,f713]) ).
fof(f2859,plain,
( spl55_277
| ~ spl55_70
| ~ spl55_114 ),
inference(avatar_split_clause,[],[f1468,f1128,f840,f2856]) ).
fof(f2856,plain,
( spl55_277
<=> smndt0(sz10) = sdtpldt0(sz00,smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_277])]) ).
fof(f1468,plain,
( smndt0(sz10) = sdtpldt0(sz00,smndt0(sz10))
| ~ spl55_70
| ~ spl55_114 ),
inference(resolution,[],[f1129,f841]) ).
fof(f2854,plain,
( ~ spl55_276
| ~ spl55_29
| spl55_245 ),
inference(avatar_split_clause,[],[f2573,f2569,f646,f2851]) ).
fof(f2851,plain,
( spl55_276
<=> aInteger0(sK44(xB)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_276])]) ).
fof(f2569,plain,
( spl55_245
<=> aElementOf0(sK44(xB),cS1395) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_245])]) ).
fof(f2573,plain,
( ~ aInteger0(sK44(xB))
| ~ spl55_29
| spl55_245 ),
inference(resolution,[],[f2570,f647]) ).
fof(f2570,plain,
( ~ aElementOf0(sK44(xB),cS1395)
| spl55_245 ),
inference(avatar_component_clause,[],[f2569]) ).
fof(f2849,plain,
( spl55_275
| ~ spl55_69
| ~ spl55_114 ),
inference(avatar_split_clause,[],[f1467,f1128,f836,f2846]) ).
fof(f2846,plain,
( spl55_275
<=> smndt0(sz10) = sdtpldt0(smndt0(sz10),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_275])]) ).
fof(f1467,plain,
( smndt0(sz10) = sdtpldt0(smndt0(sz10),sz00)
| ~ spl55_69
| ~ spl55_114 ),
inference(resolution,[],[f1129,f837]) ).
fof(f2844,plain,
( spl55_274
| ~ spl55_55
| ~ spl55_117 ),
inference(avatar_split_clause,[],[f1235,f1142,f766,f2842]) ).
fof(f2842,plain,
( spl55_274
<=> ! [X0,X1] :
( ~ sP31(X0,X1)
| aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_274])]) ).
fof(f766,plain,
( spl55_55
<=> ! [X2,X0,X1] :
( aSet0(X2)
| ~ sP30(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_55])]) ).
fof(f1235,plain,
( ! [X0,X1] :
( ~ sP31(X0,X1)
| aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
| ~ spl55_55
| ~ spl55_117 ),
inference(resolution,[],[f1143,f767]) ).
fof(f767,plain,
( ! [X2,X0,X1] :
( ~ sP30(X0,X1,X2)
| aSet0(X2) )
| ~ spl55_55 ),
inference(avatar_component_clause,[],[f766]) ).
fof(f2840,plain,
( spl55_273
| ~ spl55_100
| ~ spl55_106 ),
inference(avatar_split_clause,[],[f1210,f1096,f1071,f2837]) ).
fof(f2837,plain,
( spl55_273
<=> smndt0(sK34) = sdtasdt0(sK34,smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_273])]) ).
fof(f1210,plain,
( smndt0(sK34) = sdtasdt0(sK34,smndt0(sz10))
| ~ spl55_100
| ~ spl55_106 ),
inference(resolution,[],[f1073,f1097]) ).
fof(f2835,plain,
( spl55_272
| ~ spl55_100
| ~ spl55_105 ),
inference(avatar_split_clause,[],[f1209,f1092,f1071,f2832]) ).
fof(f2832,plain,
( spl55_272
<=> smndt0(sK34) = sdtasdt0(smndt0(sz10),sK34) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_272])]) ).
fof(f1209,plain,
( smndt0(sK34) = sdtasdt0(smndt0(sz10),sK34)
| ~ spl55_100
| ~ spl55_105 ),
inference(resolution,[],[f1073,f1093]) ).
fof(f2830,plain,
( spl55_271
| ~ spl55_15
| ~ spl55_106 ),
inference(avatar_split_clause,[],[f1176,f1096,f578,f2827]) ).
fof(f2827,plain,
( spl55_271
<=> smndt0(sz10) = sdtasdt0(sz10,smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_271])]) ).
fof(f1176,plain,
( smndt0(sz10) = sdtasdt0(sz10,smndt0(sz10))
| ~ spl55_15
| ~ spl55_106 ),
inference(resolution,[],[f1097,f580]) ).
fof(f2824,plain,
( spl55_270
| ~ spl55_16
| ~ spl55_106 ),
inference(avatar_split_clause,[],[f1175,f1096,f583,f2821]) ).
fof(f2821,plain,
( spl55_270
<=> smndt0(sz00) = sdtasdt0(sz00,smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_270])]) ).
fof(f1175,plain,
( smndt0(sz00) = sdtasdt0(sz00,smndt0(sz10))
| ~ spl55_16
| ~ spl55_106 ),
inference(resolution,[],[f1097,f585]) ).
fof(f2819,plain,
( spl55_269
| ~ spl55_15
| ~ spl55_105 ),
inference(avatar_split_clause,[],[f1166,f1092,f578,f2816]) ).
fof(f2816,plain,
( spl55_269
<=> smndt0(sz10) = sdtasdt0(smndt0(sz10),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_269])]) ).
fof(f1166,plain,
( smndt0(sz10) = sdtasdt0(smndt0(sz10),sz10)
| ~ spl55_15
| ~ spl55_105 ),
inference(resolution,[],[f1093,f580]) ).
fof(f2802,plain,
( spl55_268
| ~ spl55_253
| ~ spl55_267 ),
inference(avatar_split_clause,[],[f2797,f2793,f2636,f2799]) ).
fof(f2799,plain,
( spl55_268
<=> sz00 = smndt0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_268])]) ).
fof(f2636,plain,
( spl55_253
<=> sz00 = sdtasdt0(smndt0(sz10),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_253])]) ).
fof(f2793,plain,
( spl55_267
<=> smndt0(sz00) = sdtasdt0(smndt0(sz10),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_267])]) ).
fof(f2797,plain,
( sz00 = smndt0(sz00)
| ~ spl55_253
| ~ spl55_267 ),
inference(forward_demodulation,[],[f2795,f2638]) ).
fof(f2638,plain,
( sz00 = sdtasdt0(smndt0(sz10),sz00)
| ~ spl55_253 ),
inference(avatar_component_clause,[],[f2636]) ).
fof(f2795,plain,
( smndt0(sz00) = sdtasdt0(smndt0(sz10),sz00)
| ~ spl55_267 ),
inference(avatar_component_clause,[],[f2793]) ).
fof(f2796,plain,
( spl55_267
| ~ spl55_16
| ~ spl55_105 ),
inference(avatar_split_clause,[],[f1165,f1092,f583,f2793]) ).
fof(f1165,plain,
( smndt0(sz00) = sdtasdt0(smndt0(sz10),sz00)
| ~ spl55_16
| ~ spl55_105 ),
inference(resolution,[],[f1093,f585]) ).
fof(f2791,plain,
( ~ spl55_266
| ~ spl55_29
| spl55_244 ),
inference(avatar_split_clause,[],[f2567,f2563,f646,f2788]) ).
fof(f2788,plain,
( spl55_266
<=> aInteger0(sK44(xA)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_266])]) ).
fof(f2563,plain,
( spl55_244
<=> aElementOf0(sK44(xA),cS1395) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_244])]) ).
fof(f2567,plain,
( ~ aInteger0(sK44(xA))
| ~ spl55_29
| spl55_244 ),
inference(resolution,[],[f2564,f647]) ).
fof(f2564,plain,
( ~ aElementOf0(sK44(xA),cS1395)
| spl55_244 ),
inference(avatar_component_clause,[],[f2563]) ).
fof(f2786,plain,
( spl55_265
| ~ spl55_27
| ~ spl55_73 ),
inference(avatar_split_clause,[],[f898,f852,f636,f2784]) ).
fof(f2784,plain,
( spl55_265
<=> ! [X0,X1] :
( ~ sP22(X0,X1)
| sP23(sK42(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_265])]) ).
fof(f898,plain,
( ! [X0,X1] :
( ~ sP22(X0,X1)
| sP23(sK42(X0,X1)) )
| ~ spl55_27
| ~ spl55_73 ),
inference(resolution,[],[f853,f637]) ).
fof(f2738,plain,
( spl55_264
| ~ spl55_28
| ~ spl55_155 ),
inference(avatar_split_clause,[],[f1548,f1440,f642,f2736]) ).
fof(f2736,plain,
( spl55_264
<=> ! [X0] :
( aInteger0(sK47(X0,cS1395))
| sP28(X0,cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_264])]) ).
fof(f1548,plain,
( ! [X0] :
( aInteger0(sK47(X0,cS1395))
| sP28(X0,cS1395) )
| ~ spl55_28
| ~ spl55_155 ),
inference(duplicate_literal_removal,[],[f1525]) ).
fof(f1525,plain,
( ! [X0] :
( aInteger0(sK47(X0,cS1395))
| sP28(X0,cS1395)
| aInteger0(sK47(X0,cS1395)) )
| ~ spl55_28
| ~ spl55_155 ),
inference(resolution,[],[f1441,f643]) ).
fof(f2734,plain,
( spl55_263
| ~ spl55_47
| ~ spl55_96 ),
inference(avatar_split_clause,[],[f1053,f1046,f732,f2732]) ).
fof(f2732,plain,
( spl55_263
<=> ! [X0] :
( aElementOf0(X0,xB)
| ~ aInteger0(X0)
| sP21(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_263])]) ).
fof(f1053,plain,
( ! [X0] :
( aElementOf0(X0,xB)
| ~ aInteger0(X0)
| sP21(X0) )
| ~ spl55_47
| ~ spl55_96 ),
inference(resolution,[],[f1047,f733]) ).
fof(f2730,plain,
( spl55_262
| ~ spl55_45
| ~ spl55_95 ),
inference(avatar_split_clause,[],[f1050,f1042,f724,f2728]) ).
fof(f2728,plain,
( spl55_262
<=> ! [X0] :
( aElementOf0(X0,xA)
| ~ aInteger0(X0)
| sP17(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_262])]) ).
fof(f1042,plain,
( spl55_95
<=> ! [X3] :
( aElementOf0(X3,stldt0(xA))
| aElementOf0(X3,xA)
| ~ aInteger0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_95])]) ).
fof(f1050,plain,
( ! [X0] :
( aElementOf0(X0,xA)
| ~ aInteger0(X0)
| sP17(X0) )
| ~ spl55_45
| ~ spl55_95 ),
inference(resolution,[],[f1043,f725]) ).
fof(f1043,plain,
( ! [X3] :
( aElementOf0(X3,stldt0(xA))
| aElementOf0(X3,xA)
| ~ aInteger0(X3) )
| ~ spl55_95 ),
inference(avatar_component_clause,[],[f1042]) ).
fof(f2726,plain,
( spl55_260
| ~ spl55_5
| spl55_261
| ~ spl55_28
| ~ spl55_91 ),
inference(avatar_split_clause,[],[f1013,f978,f642,f2723,f528,f2719]) ).
fof(f2719,plain,
( spl55_260
<=> aInteger0(sK50(cS1395)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_260])]) ).
fof(f2723,plain,
( spl55_261
<=> sP29(cS1395) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_261])]) ).
fof(f1013,plain,
( sP29(cS1395)
| ~ aSet0(cS1395)
| aInteger0(sK50(cS1395))
| ~ spl55_28
| ~ spl55_91 ),
inference(resolution,[],[f979,f643]) ).
fof(f2717,plain,
( spl55_258
| spl55_259
| ~ spl55_47
| ~ spl55_54 ),
inference(avatar_split_clause,[],[f785,f762,f732,f2714,f2710]) ).
fof(f2710,plain,
( spl55_258
<=> sP21(sK44(stldt0(xB))) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_258])]) ).
fof(f2714,plain,
( spl55_259
<=> sP24(stldt0(xB)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_259])]) ).
fof(f785,plain,
( sP24(stldt0(xB))
| sP21(sK44(stldt0(xB)))
| ~ spl55_47
| ~ spl55_54 ),
inference(resolution,[],[f763,f733]) ).
fof(f2708,plain,
( spl55_257
| spl55_256
| ~ spl55_44
| ~ spl55_54 ),
inference(avatar_split_clause,[],[f784,f762,f720,f2700,f2705]) ).
fof(f2705,plain,
( spl55_257
<=> aInteger0(sK44(stldt0(xA))) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_257])]) ).
fof(f2700,plain,
( spl55_256
<=> sP24(stldt0(xA)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_256])]) ).
fof(f784,plain,
( sP24(stldt0(xA))
| aInteger0(sK44(stldt0(xA)))
| ~ spl55_44
| ~ spl55_54 ),
inference(resolution,[],[f763,f721]) ).
fof(f2703,plain,
( spl55_255
| spl55_256
| ~ spl55_45
| ~ spl55_54 ),
inference(avatar_split_clause,[],[f783,f762,f724,f2700,f2696]) ).
fof(f2696,plain,
( spl55_255
<=> sP17(sK44(stldt0(xA))) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_255])]) ).
fof(f783,plain,
( sP24(stldt0(xA))
| sP17(sK44(stldt0(xA)))
| ~ spl55_45
| ~ spl55_54 ),
inference(resolution,[],[f763,f725]) ).
fof(f2644,plain,
( spl55_254
| ~ spl55_67
| ~ spl55_114 ),
inference(avatar_split_clause,[],[f1466,f1128,f827,f2641]) ).
fof(f2641,plain,
( spl55_254
<=> sz00 = sdtasdt0(sz00,smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_254])]) ).
fof(f1466,plain,
( sz00 = sdtasdt0(sz00,smndt0(sz10))
| ~ spl55_67
| ~ spl55_114 ),
inference(resolution,[],[f1129,f828]) ).
fof(f2639,plain,
( spl55_253
| ~ spl55_66
| ~ spl55_114 ),
inference(avatar_split_clause,[],[f1465,f1128,f823,f2636]) ).
fof(f1465,plain,
( sz00 = sdtasdt0(smndt0(sz10),sz00)
| ~ spl55_66
| ~ spl55_114 ),
inference(resolution,[],[f1129,f824]) ).
fof(f2632,plain,
( ~ spl55_252
| ~ spl55_99
| ~ spl55_147 ),
inference(avatar_split_clause,[],[f2604,f1400,f1067,f2629]) ).
fof(f2604,plain,
( ~ aElementOf0(sK34,sdtbsmnsldt0(xA,xB))
| ~ spl55_99
| ~ spl55_147 ),
inference(resolution,[],[f1069,f1401]) ).
fof(f2626,plain,
( ~ spl55_100
| spl55_181
| ~ spl55_95
| spl55_130 ),
inference(avatar_split_clause,[],[f2625,f1280,f1042,f1751,f1071]) ).
fof(f2625,plain,
( aElementOf0(sK34,xA)
| ~ aInteger0(sK34)
| ~ spl55_95
| spl55_130 ),
inference(resolution,[],[f1281,f1043]) ).
fof(f1281,plain,
( ~ aElementOf0(sK34,stldt0(xA))
| spl55_130 ),
inference(avatar_component_clause,[],[f1280]) ).
fof(f2624,plain,
( ~ spl55_98
| ~ spl55_99
| ~ spl55_100
| ~ spl55_130
| ~ spl55_131 ),
inference(avatar_split_clause,[],[f306,f1288,f1280,f1071,f1067,f1063]) ).
fof(f1063,plain,
( spl55_98
<=> sP7 ),
introduced(avatar_definition,[new_symbols(naming,[spl55_98])]) ).
fof(f306,plain,
( ~ aElementOf0(sK34,stldt0(xB))
| ~ aElementOf0(sK34,stldt0(xA))
| ~ aInteger0(sK34)
| ~ aElementOf0(sK34,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ sP7 ),
inference(cnf_transformation,[],[f163]) ).
fof(f163,plain,
( ( ( ~ aElementOf0(sK34,stldt0(xB))
| ~ aElementOf0(sK34,stldt0(xA))
| ~ aInteger0(sK34)
| ~ aElementOf0(sK34,stldt0(sdtbsmnsldt0(xA,xB))) )
& ( ( aElementOf0(sK34,stldt0(xB))
& aElementOf0(sK34,stldt0(xA))
& aInteger0(sK34) )
| aElementOf0(sK34,stldt0(sdtbsmnsldt0(xA,xB))) ) )
| ~ sP7 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK34])],[f161,f162]) ).
fof(f162,plain,
( ? [X0] :
( ( ~ aElementOf0(X0,stldt0(xB))
| ~ aElementOf0(X0,stldt0(xA))
| ~ aInteger0(X0)
| ~ aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB))) )
& ( ( aElementOf0(X0,stldt0(xB))
& aElementOf0(X0,stldt0(xA))
& aInteger0(X0) )
| aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB))) ) )
=> ( ( ~ aElementOf0(sK34,stldt0(xB))
| ~ aElementOf0(sK34,stldt0(xA))
| ~ aInteger0(sK34)
| ~ aElementOf0(sK34,stldt0(sdtbsmnsldt0(xA,xB))) )
& ( ( aElementOf0(sK34,stldt0(xB))
& aElementOf0(sK34,stldt0(xA))
& aInteger0(sK34) )
| aElementOf0(sK34,stldt0(sdtbsmnsldt0(xA,xB))) ) ) ),
introduced(choice_axiom,[]) ).
fof(f161,plain,
( ? [X0] :
( ( ~ aElementOf0(X0,stldt0(xB))
| ~ aElementOf0(X0,stldt0(xA))
| ~ aInteger0(X0)
| ~ aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB))) )
& ( ( aElementOf0(X0,stldt0(xB))
& aElementOf0(X0,stldt0(xA))
& aInteger0(X0) )
| aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB))) ) )
| ~ sP7 ),
inference(rectify,[],[f160]) ).
fof(f160,plain,
( ? [X4] :
( ( ~ aElementOf0(X4,stldt0(xB))
| ~ aElementOf0(X4,stldt0(xA))
| ~ aInteger0(X4)
| ~ aElementOf0(X4,stldt0(sdtbsmnsldt0(xA,xB))) )
& ( ( aElementOf0(X4,stldt0(xB))
& aElementOf0(X4,stldt0(xA))
& aInteger0(X4) )
| aElementOf0(X4,stldt0(sdtbsmnsldt0(xA,xB))) ) )
| ~ sP7 ),
inference(flattening,[],[f159]) ).
fof(f159,plain,
( ? [X4] :
( ( ~ aElementOf0(X4,stldt0(xB))
| ~ aElementOf0(X4,stldt0(xA))
| ~ aInteger0(X4)
| ~ aElementOf0(X4,stldt0(sdtbsmnsldt0(xA,xB))) )
& ( ( aElementOf0(X4,stldt0(xB))
& aElementOf0(X4,stldt0(xA))
& aInteger0(X4) )
| aElementOf0(X4,stldt0(sdtbsmnsldt0(xA,xB))) ) )
| ~ sP7 ),
inference(nnf_transformation,[],[f111]) ).
fof(f111,plain,
( ? [X4] :
( aElementOf0(X4,stldt0(sdtbsmnsldt0(xA,xB)))
<~> ( aElementOf0(X4,stldt0(xB))
& aElementOf0(X4,stldt0(xA))
& aInteger0(X4) ) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f2606,plain,
( spl55_100
| ~ spl55_46
| ~ spl55_131 ),
inference(avatar_split_clause,[],[f1294,f1288,f728,f1071]) ).
fof(f1294,plain,
( aInteger0(sK34)
| ~ spl55_46
| ~ spl55_131 ),
inference(resolution,[],[f1290,f729]) ).
fof(f1290,plain,
( aElementOf0(sK34,stldt0(xB))
| ~ spl55_131 ),
inference(avatar_component_clause,[],[f1288]) ).
fof(f2603,plain,
( spl55_251
| ~ spl55_84
| ~ spl55_100 ),
inference(avatar_split_clause,[],[f1208,f1071,f948,f2600]) ).
fof(f2600,plain,
( spl55_251
<=> sz00 = sdtpldt0(smndt0(sK34),sK34) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_251])]) ).
fof(f1208,plain,
( sz00 = sdtpldt0(smndt0(sK34),sK34)
| ~ spl55_84
| ~ spl55_100 ),
inference(resolution,[],[f1073,f949]) ).
fof(f2598,plain,
( spl55_250
| ~ spl55_83
| ~ spl55_100 ),
inference(avatar_split_clause,[],[f1207,f1071,f944,f2595]) ).
fof(f2595,plain,
( spl55_250
<=> sz00 = sdtpldt0(sK34,smndt0(sK34)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_250])]) ).
fof(f1207,plain,
( sz00 = sdtpldt0(sK34,smndt0(sK34))
| ~ spl55_83
| ~ spl55_100 ),
inference(resolution,[],[f1073,f945]) ).
fof(f2593,plain,
( spl55_249
| ~ spl55_15
| ~ spl55_84 ),
inference(avatar_split_clause,[],[f1000,f948,f578,f2590]) ).
fof(f2590,plain,
( spl55_249
<=> sz00 = sdtpldt0(smndt0(sz10),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_249])]) ).
fof(f1000,plain,
( sz00 = sdtpldt0(smndt0(sz10),sz10)
| ~ spl55_15
| ~ spl55_84 ),
inference(resolution,[],[f949,f580]) ).
fof(f2588,plain,
( spl55_248
| ~ spl55_16
| ~ spl55_84 ),
inference(avatar_split_clause,[],[f999,f948,f583,f2585]) ).
fof(f2585,plain,
( spl55_248
<=> sz00 = sdtpldt0(smndt0(sz00),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_248])]) ).
fof(f999,plain,
( sz00 = sdtpldt0(smndt0(sz00),sz00)
| ~ spl55_16
| ~ spl55_84 ),
inference(resolution,[],[f949,f585]) ).
fof(f2583,plain,
( spl55_247
| ~ spl55_15
| ~ spl55_83 ),
inference(avatar_split_clause,[],[f994,f944,f578,f2580]) ).
fof(f2580,plain,
( spl55_247
<=> sz00 = sdtpldt0(sz10,smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_247])]) ).
fof(f994,plain,
( sz00 = sdtpldt0(sz10,smndt0(sz10))
| ~ spl55_15
| ~ spl55_83 ),
inference(resolution,[],[f945,f580]) ).
fof(f2578,plain,
( spl55_246
| ~ spl55_16
| ~ spl55_83 ),
inference(avatar_split_clause,[],[f993,f944,f583,f2575]) ).
fof(f2575,plain,
( spl55_246
<=> sz00 = sdtpldt0(sz00,smndt0(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_246])]) ).
fof(f993,plain,
( sz00 = sdtpldt0(sz00,smndt0(sz00))
| ~ spl55_16
| ~ spl55_83 ),
inference(resolution,[],[f945,f585]) ).
fof(f2572,plain,
( spl55_245
| spl55_243
| ~ spl55_43
| ~ spl55_54 ),
inference(avatar_split_clause,[],[f788,f762,f716,f2551,f2569]) ).
fof(f2551,plain,
( spl55_243
<=> sP24(xB) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_243])]) ).
fof(f788,plain,
( sP24(xB)
| aElementOf0(sK44(xB),cS1395)
| ~ spl55_43
| ~ spl55_54 ),
inference(resolution,[],[f763,f717]) ).
fof(f2566,plain,
( spl55_244
| spl55_214
| ~ spl55_42
| ~ spl55_54 ),
inference(avatar_split_clause,[],[f787,f762,f712,f2241,f2563]) ).
fof(f2241,plain,
( spl55_214
<=> sP24(xA) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_214])]) ).
fof(f787,plain,
( sP24(xA)
| aElementOf0(sK44(xA),cS1395)
| ~ spl55_42
| ~ spl55_54 ),
inference(resolution,[],[f763,f713]) ).
fof(f2554,plain,
( spl55_242
| ~ spl55_243
| ~ spl55_53
| ~ spl55_59 ),
inference(avatar_split_clause,[],[f1009,f791,f758,f2551,f2547]) ).
fof(f2547,plain,
( spl55_242
<=> isOpen0(xB) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_242])]) ).
fof(f758,plain,
( spl55_53
<=> ! [X0] :
( isOpen0(X0)
| ~ sP24(X0)
| ~ sP25(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_53])]) ).
fof(f791,plain,
( spl55_59
<=> sP25(xB) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_59])]) ).
fof(f1009,plain,
( ~ sP24(xB)
| isOpen0(xB)
| ~ spl55_53
| ~ spl55_59 ),
inference(resolution,[],[f793,f759]) ).
fof(f759,plain,
( ! [X0] :
( ~ sP25(X0)
| ~ sP24(X0)
| isOpen0(X0) )
| ~ spl55_53 ),
inference(avatar_component_clause,[],[f758]) ).
fof(f793,plain,
( sP25(xB)
| ~ spl55_59 ),
inference(avatar_component_clause,[],[f791]) ).
fof(f2493,plain,
( spl55_241
| ~ spl55_152
| ~ spl55_153 ),
inference(avatar_split_clause,[],[f1514,f1432,f1428,f2491]) ).
fof(f1514,plain,
( ! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) )
| ~ spl55_152
| ~ spl55_153 ),
inference(duplicate_literal_removal,[],[f1508]) ).
fof(f1508,plain,
( ! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0)
| ~ aSet0(X0)
| aSubsetOf0(X0,X0)
| ~ aSet0(X0)
| ~ aSet0(X0) )
| ~ spl55_152
| ~ spl55_153 ),
inference(resolution,[],[f1433,f1429]) ).
fof(f2489,plain,
( spl55_240
| ~ spl55_72
| ~ spl55_100 ),
inference(avatar_split_clause,[],[f1206,f1071,f848,f2486]) ).
fof(f2486,plain,
( spl55_240
<=> sK34 = sdtasdt0(sz10,sK34) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_240])]) ).
fof(f1206,plain,
( sK34 = sdtasdt0(sz10,sK34)
| ~ spl55_72
| ~ spl55_100 ),
inference(resolution,[],[f1073,f849]) ).
fof(f2484,plain,
( spl55_239
| ~ spl55_71
| ~ spl55_100 ),
inference(avatar_split_clause,[],[f1205,f1071,f844,f2481]) ).
fof(f2481,plain,
( spl55_239
<=> sK34 = sdtasdt0(sK34,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_239])]) ).
fof(f1205,plain,
( sK34 = sdtasdt0(sK34,sz10)
| ~ spl55_71
| ~ spl55_100 ),
inference(resolution,[],[f1073,f845]) ).
fof(f2479,plain,
( spl55_238
| ~ spl55_27
| ~ spl55_221 ),
inference(avatar_split_clause,[],[f2387,f2379,f636,f2476]) ).
fof(f2476,plain,
( spl55_238
<=> sP23(sK44(cS1395)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_238])]) ).
fof(f2387,plain,
( sP23(sK44(cS1395))
| ~ spl55_27
| ~ spl55_221 ),
inference(resolution,[],[f2381,f637]) ).
fof(f2474,plain,
( spl55_237
| ~ spl55_70
| ~ spl55_100 ),
inference(avatar_split_clause,[],[f1204,f1071,f840,f2471]) ).
fof(f2471,plain,
( spl55_237
<=> sK34 = sdtpldt0(sz00,sK34) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_237])]) ).
fof(f1204,plain,
( sK34 = sdtpldt0(sz00,sK34)
| ~ spl55_70
| ~ spl55_100 ),
inference(resolution,[],[f1073,f841]) ).
fof(f2469,plain,
( spl55_236
| ~ spl55_69
| ~ spl55_100 ),
inference(avatar_split_clause,[],[f1203,f1071,f836,f2466]) ).
fof(f2466,plain,
( spl55_236
<=> sK34 = sdtpldt0(sK34,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_236])]) ).
fof(f1203,plain,
( sK34 = sdtpldt0(sK34,sz00)
| ~ spl55_69
| ~ spl55_100 ),
inference(resolution,[],[f1073,f837]) ).
fof(f2464,plain,
( spl55_235
| ~ spl55_67
| ~ spl55_100 ),
inference(avatar_split_clause,[],[f1202,f1071,f827,f2461]) ).
fof(f2461,plain,
( spl55_235
<=> sz00 = sdtasdt0(sz00,sK34) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_235])]) ).
fof(f1202,plain,
( sz00 = sdtasdt0(sz00,sK34)
| ~ spl55_67
| ~ spl55_100 ),
inference(resolution,[],[f1073,f828]) ).
fof(f2459,plain,
( spl55_234
| ~ spl55_66
| ~ spl55_100 ),
inference(avatar_split_clause,[],[f1201,f1071,f823,f2456]) ).
fof(f2456,plain,
( spl55_234
<=> sz00 = sdtasdt0(sK34,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_234])]) ).
fof(f1201,plain,
( sz00 = sdtasdt0(sK34,sz00)
| ~ spl55_66
| ~ spl55_100 ),
inference(resolution,[],[f1073,f824]) ).
fof(f2454,plain,
( spl55_233
| ~ spl55_15
| ~ spl55_71 ),
inference(avatar_split_clause,[],[f889,f844,f578,f2451]) ).
fof(f2451,plain,
( spl55_233
<=> sz10 = sdtasdt0(sz10,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_233])]) ).
fof(f889,plain,
( sz10 = sdtasdt0(sz10,sz10)
| ~ spl55_15
| ~ spl55_71 ),
inference(resolution,[],[f845,f580]) ).
fof(f2449,plain,
( spl55_232
| ~ spl55_15
| ~ spl55_70 ),
inference(avatar_split_clause,[],[f884,f840,f578,f2446]) ).
fof(f2446,plain,
( spl55_232
<=> sz10 = sdtpldt0(sz00,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_232])]) ).
fof(f884,plain,
( sz10 = sdtpldt0(sz00,sz10)
| ~ spl55_15
| ~ spl55_70 ),
inference(resolution,[],[f841,f580]) ).
fof(f2444,plain,
( spl55_231
| ~ spl55_15
| ~ spl55_69 ),
inference(avatar_split_clause,[],[f879,f836,f578,f2441]) ).
fof(f2441,plain,
( spl55_231
<=> sz10 = sdtpldt0(sz10,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_231])]) ).
fof(f879,plain,
( sz10 = sdtpldt0(sz10,sz00)
| ~ spl55_15
| ~ spl55_69 ),
inference(resolution,[],[f837,f580]) ).
fof(f2439,plain,
( spl55_230
| ~ spl55_16
| ~ spl55_69 ),
inference(avatar_split_clause,[],[f878,f836,f583,f2436]) ).
fof(f2436,plain,
( spl55_230
<=> sz00 = sdtpldt0(sz00,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_230])]) ).
fof(f878,plain,
( sz00 = sdtpldt0(sz00,sz00)
| ~ spl55_16
| ~ spl55_69 ),
inference(resolution,[],[f837,f585]) ).
fof(f2434,plain,
( spl55_229
| ~ spl55_15
| ~ spl55_67 ),
inference(avatar_split_clause,[],[f874,f827,f578,f2431]) ).
fof(f2431,plain,
( spl55_229
<=> sz00 = sdtasdt0(sz00,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_229])]) ).
fof(f874,plain,
( sz00 = sdtasdt0(sz00,sz10)
| ~ spl55_15
| ~ spl55_67 ),
inference(resolution,[],[f828,f580]) ).
fof(f2429,plain,
( spl55_228
| ~ spl55_15
| ~ spl55_66 ),
inference(avatar_split_clause,[],[f869,f823,f578,f2426]) ).
fof(f2426,plain,
( spl55_228
<=> sz00 = sdtasdt0(sz10,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_228])]) ).
fof(f869,plain,
( sz00 = sdtasdt0(sz10,sz00)
| ~ spl55_15
| ~ spl55_66 ),
inference(resolution,[],[f824,f580]) ).
fof(f2424,plain,
( spl55_227
| ~ spl55_16
| ~ spl55_66 ),
inference(avatar_split_clause,[],[f868,f823,f583,f2421]) ).
fof(f2421,plain,
( spl55_227
<=> sz00 = sdtasdt0(sz00,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_227])]) ).
fof(f868,plain,
( sz00 = sdtasdt0(sz00,sz00)
| ~ spl55_16
| ~ spl55_66 ),
inference(resolution,[],[f824,f585]) ).
fof(f2419,plain,
( spl55_226
| ~ spl55_38
| ~ spl55_56 ),
inference(avatar_split_clause,[],[f789,f770,f688,f2417]) ).
fof(f2417,plain,
( spl55_226
<=> ! [X0] :
( ~ sP27(X0)
| aSet0(stldt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_226])]) ).
fof(f688,plain,
( spl55_38
<=> ! [X0,X1] :
( aSet0(X1)
| ~ sP26(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_38])]) ).
fof(f789,plain,
( ! [X0] :
( ~ sP27(X0)
| aSet0(stldt0(X0)) )
| ~ spl55_38
| ~ spl55_56 ),
inference(resolution,[],[f771,f689]) ).
fof(f689,plain,
( ! [X0,X1] :
( ~ sP26(X0,X1)
| aSet0(X1) )
| ~ spl55_38 ),
inference(avatar_component_clause,[],[f688]) ).
fof(f2415,plain,
( spl55_225
| ~ spl55_27
| ~ spl55_35 ),
inference(avatar_split_clause,[],[f706,f676,f636,f2413]) ).
fof(f2413,plain,
( spl55_225
<=> ! [X0] :
( ~ aInteger0(X0)
| sP23(smndt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_225])]) ).
fof(f706,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sP23(smndt0(X0)) )
| ~ spl55_27
| ~ spl55_35 ),
inference(resolution,[],[f677,f637]) ).
fof(f2411,plain,
( spl55_224
| ~ spl55_27
| ~ spl55_34 ),
inference(avatar_split_clause,[],[f705,f672,f636,f2409]) ).
fof(f2409,plain,
( spl55_224
<=> ! [X0] :
( ~ sP17(X0)
| sP23(sK39(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_224])]) ).
fof(f705,plain,
( ! [X0] :
( ~ sP17(X0)
| sP23(sK39(X0)) )
| ~ spl55_27
| ~ spl55_34 ),
inference(resolution,[],[f673,f637]) ).
fof(f2407,plain,
( spl55_223
| ~ spl55_27
| ~ spl55_33 ),
inference(avatar_split_clause,[],[f704,f668,f636,f2405]) ).
fof(f2405,plain,
( spl55_223
<=> ! [X0] :
( ~ sP21(X0)
| sP23(sK37(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_223])]) ).
fof(f704,plain,
( ! [X0] :
( ~ sP21(X0)
| sP23(sK37(X0)) )
| ~ spl55_27
| ~ spl55_33 ),
inference(resolution,[],[f669,f637]) ).
fof(f2386,plain,
( spl55_221
| spl55_222
| ~ spl55_28
| ~ spl55_54 ),
inference(avatar_split_clause,[],[f782,f762,f642,f2383,f2379]) ).
fof(f782,plain,
( sP24(cS1395)
| aInteger0(sK44(cS1395))
| ~ spl55_28
| ~ spl55_54 ),
inference(resolution,[],[f763,f643]) ).
fof(f2353,plain,
spl55_220,
inference(avatar_split_clause,[],[f472,f2351]) ).
fof(f2351,plain,
( spl55_220
<=> ! [X2,X0,X1] :
( sP32(X0,X1,X2)
| ~ aElementOf0(sK53(X0,X1,X2),X0)
| ~ aElementOf0(sK53(X0,X1,X2),X1)
| ~ aInteger0(sK53(X0,X1,X2))
| ~ aElementOf0(sK53(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_220])]) ).
fof(f472,plain,
! [X2,X0,X1] :
( sP32(X0,X1,X2)
| ~ aElementOf0(sK53(X0,X1,X2),X0)
| ~ aElementOf0(sK53(X0,X1,X2),X1)
| ~ aInteger0(sK53(X0,X1,X2))
| ~ aElementOf0(sK53(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f263]) ).
fof(f263,plain,
! [X0,X1,X2] :
( ( sP32(X0,X1,X2)
| ( ( ~ aElementOf0(sK53(X0,X1,X2),X0)
| ~ aElementOf0(sK53(X0,X1,X2),X1)
| ~ aInteger0(sK53(X0,X1,X2))
| ~ aElementOf0(sK53(X0,X1,X2),X2) )
& ( ( aElementOf0(sK53(X0,X1,X2),X0)
& aElementOf0(sK53(X0,X1,X2),X1)
& aInteger0(sK53(X0,X1,X2)) )
| aElementOf0(sK53(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( aElementOf0(X4,X2)
| ~ aElementOf0(X4,X0)
| ~ aElementOf0(X4,X1)
| ~ aInteger0(X4) )
& ( ( aElementOf0(X4,X0)
& aElementOf0(X4,X1)
& aInteger0(X4) )
| ~ aElementOf0(X4,X2) ) )
| ~ sP32(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK53])],[f261,f262]) ).
fof(f262,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ~ aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ aInteger0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( aElementOf0(X3,X0)
& aElementOf0(X3,X1)
& aInteger0(X3) )
| aElementOf0(X3,X2) ) )
=> ( ( ~ aElementOf0(sK53(X0,X1,X2),X0)
| ~ aElementOf0(sK53(X0,X1,X2),X1)
| ~ aInteger0(sK53(X0,X1,X2))
| ~ aElementOf0(sK53(X0,X1,X2),X2) )
& ( ( aElementOf0(sK53(X0,X1,X2),X0)
& aElementOf0(sK53(X0,X1,X2),X1)
& aInteger0(sK53(X0,X1,X2)) )
| aElementOf0(sK53(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f261,plain,
! [X0,X1,X2] :
( ( sP32(X0,X1,X2)
| ? [X3] :
( ( ~ aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ aInteger0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( aElementOf0(X3,X0)
& aElementOf0(X3,X1)
& aInteger0(X3) )
| aElementOf0(X3,X2) ) ) )
& ( ! [X4] :
( ( aElementOf0(X4,X2)
| ~ aElementOf0(X4,X0)
| ~ aElementOf0(X4,X1)
| ~ aInteger0(X4) )
& ( ( aElementOf0(X4,X0)
& aElementOf0(X4,X1)
& aInteger0(X4) )
| ~ aElementOf0(X4,X2) ) )
| ~ sP32(X0,X1,X2) ) ),
inference(rectify,[],[f260]) ).
fof(f260,plain,
! [X1,X0,X2] :
( ( sP32(X1,X0,X2)
| ? [X3] :
( ( ~ aElementOf0(X3,X1)
| ~ aElementOf0(X3,X0)
| ~ aInteger0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( aElementOf0(X3,X1)
& aElementOf0(X3,X0)
& aInteger0(X3) )
| aElementOf0(X3,X2) ) ) )
& ( ! [X3] :
( ( aElementOf0(X3,X2)
| ~ aElementOf0(X3,X1)
| ~ aElementOf0(X3,X0)
| ~ aInteger0(X3) )
& ( ( aElementOf0(X3,X1)
& aElementOf0(X3,X0)
& aInteger0(X3) )
| ~ aElementOf0(X3,X2) ) )
| ~ sP32(X1,X0,X2) ) ),
inference(flattening,[],[f259]) ).
fof(f259,plain,
! [X1,X0,X2] :
( ( sP32(X1,X0,X2)
| ? [X3] :
( ( ~ aElementOf0(X3,X1)
| ~ aElementOf0(X3,X0)
| ~ aInteger0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( aElementOf0(X3,X1)
& aElementOf0(X3,X0)
& aInteger0(X3) )
| aElementOf0(X3,X2) ) ) )
& ( ! [X3] :
( ( aElementOf0(X3,X2)
| ~ aElementOf0(X3,X1)
| ~ aElementOf0(X3,X0)
| ~ aInteger0(X3) )
& ( ( aElementOf0(X3,X1)
& aElementOf0(X3,X0)
& aInteger0(X3) )
| ~ aElementOf0(X3,X2) ) )
| ~ sP32(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f143]) ).
fof(f143,plain,
! [X1,X0,X2] :
( sP32(X1,X0,X2)
<=> ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElementOf0(X3,X1)
& aElementOf0(X3,X0)
& aInteger0(X3) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f2341,plain,
spl55_219,
inference(avatar_split_clause,[],[f495,f2339]) ).
fof(f2339,plain,
( spl55_219
<=> ! [X0,X3,X2,X1] :
( sdteqdtlpzmzozddtrp0(X0,X1,X3)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,sdtasdt0(X2,X3))
| sz00 = X3
| ~ aInteger0(X3)
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_219])]) ).
fof(f495,plain,
! [X2,X3,X0,X1] :
( sdteqdtlpzmzozddtrp0(X0,X1,X3)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,sdtasdt0(X2,X3))
| sz00 = X3
| ~ aInteger0(X3)
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0,X1,X2,X3] :
( ( sdteqdtlpzmzozddtrp0(X0,X1,X3)
& sdteqdtlpzmzozddtrp0(X0,X1,X2) )
| ~ sdteqdtlpzmzozddtrp0(X0,X1,sdtasdt0(X2,X3))
| sz00 = X3
| ~ aInteger0(X3)
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f100]) ).
fof(f100,plain,
! [X0,X1,X2,X3] :
( ( sdteqdtlpzmzozddtrp0(X0,X1,X3)
& sdteqdtlpzmzozddtrp0(X0,X1,X2) )
| ~ sdteqdtlpzmzozddtrp0(X0,X1,sdtasdt0(X2,X3))
| sz00 = X3
| ~ aInteger0(X3)
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( ( sz00 != X3
& aInteger0(X3)
& sz00 != X2
& aInteger0(X2)
& aInteger0(X1)
& aInteger0(X0) )
=> ( sdteqdtlpzmzozddtrp0(X0,X1,sdtasdt0(X2,X3))
=> ( sdteqdtlpzmzozddtrp0(X0,X1,X3)
& sdteqdtlpzmzozddtrp0(X0,X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEquModMul) ).
fof(f2337,plain,
spl55_218,
inference(avatar_split_clause,[],[f494,f2335]) ).
fof(f2335,plain,
( spl55_218
<=> ! [X0,X3,X2,X1] :
( sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,sdtasdt0(X2,X3))
| sz00 = X3
| ~ aInteger0(X3)
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_218])]) ).
fof(f494,plain,
! [X2,X3,X0,X1] :
( sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,sdtasdt0(X2,X3))
| sz00 = X3
| ~ aInteger0(X3)
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f2333,plain,
spl55_217,
inference(avatar_split_clause,[],[f457,f2331]) ).
fof(f2331,plain,
( spl55_217
<=> ! [X2,X0,X1] :
( sP30(X0,X1,X2)
| ~ sdteqdtlpzmzozddtrp0(sK52(X0,X1,X2),X1,X0)
| ~ aInteger0(sK52(X0,X1,X2))
| ~ aElementOf0(sK52(X0,X1,X2),X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_217])]) ).
fof(f457,plain,
! [X2,X0,X1] :
( sP30(X0,X1,X2)
| ~ sdteqdtlpzmzozddtrp0(sK52(X0,X1,X2),X1,X0)
| ~ aInteger0(sK52(X0,X1,X2))
| ~ aElementOf0(sK52(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f258]) ).
fof(f258,plain,
! [X0,X1,X2] :
( ( sP30(X0,X1,X2)
| ( ( ~ sdteqdtlpzmzozddtrp0(sK52(X0,X1,X2),X1,X0)
| ~ aInteger0(sK52(X0,X1,X2))
| ~ aElementOf0(sK52(X0,X1,X2),X2) )
& ( ( sdteqdtlpzmzozddtrp0(sK52(X0,X1,X2),X1,X0)
& aInteger0(sK52(X0,X1,X2)) )
| aElementOf0(sK52(X0,X1,X2),X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| ~ sdteqdtlpzmzozddtrp0(X4,X1,X0)
| ~ aInteger0(X4) )
& ( ( sdteqdtlpzmzozddtrp0(X4,X1,X0)
& aInteger0(X4) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| ~ sP30(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK52])],[f256,f257]) ).
fof(f257,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ~ sdteqdtlpzmzozddtrp0(X3,X1,X0)
| ~ aInteger0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( sdteqdtlpzmzozddtrp0(X3,X1,X0)
& aInteger0(X3) )
| aElementOf0(X3,X2) ) )
=> ( ( ~ sdteqdtlpzmzozddtrp0(sK52(X0,X1,X2),X1,X0)
| ~ aInteger0(sK52(X0,X1,X2))
| ~ aElementOf0(sK52(X0,X1,X2),X2) )
& ( ( sdteqdtlpzmzozddtrp0(sK52(X0,X1,X2),X1,X0)
& aInteger0(sK52(X0,X1,X2)) )
| aElementOf0(sK52(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f256,plain,
! [X0,X1,X2] :
( ( sP30(X0,X1,X2)
| ? [X3] :
( ( ~ sdteqdtlpzmzozddtrp0(X3,X1,X0)
| ~ aInteger0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( sdteqdtlpzmzozddtrp0(X3,X1,X0)
& aInteger0(X3) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| ~ sdteqdtlpzmzozddtrp0(X4,X1,X0)
| ~ aInteger0(X4) )
& ( ( sdteqdtlpzmzozddtrp0(X4,X1,X0)
& aInteger0(X4) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| ~ sP30(X0,X1,X2) ) ),
inference(rectify,[],[f255]) ).
fof(f255,plain,
! [X1,X0,X2] :
( ( sP30(X1,X0,X2)
| ? [X3] :
( ( ~ sdteqdtlpzmzozddtrp0(X3,X0,X1)
| ~ aInteger0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( sdteqdtlpzmzozddtrp0(X3,X0,X1)
& aInteger0(X3) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| ~ sdteqdtlpzmzozddtrp0(X3,X0,X1)
| ~ aInteger0(X3) )
& ( ( sdteqdtlpzmzozddtrp0(X3,X0,X1)
& aInteger0(X3) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| ~ sP30(X1,X0,X2) ) ),
inference(flattening,[],[f254]) ).
fof(f254,plain,
! [X1,X0,X2] :
( ( sP30(X1,X0,X2)
| ? [X3] :
( ( ~ sdteqdtlpzmzozddtrp0(X3,X0,X1)
| ~ aInteger0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( sdteqdtlpzmzozddtrp0(X3,X0,X1)
& aInteger0(X3) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| ~ sdteqdtlpzmzozddtrp0(X3,X0,X1)
| ~ aInteger0(X3) )
& ( ( sdteqdtlpzmzozddtrp0(X3,X0,X1)
& aInteger0(X3) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| ~ sP30(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f140]) ).
fof(f140,plain,
! [X1,X0,X2] :
( sP30(X1,X0,X2)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sdteqdtlpzmzozddtrp0(X3,X0,X1)
& aInteger0(X3) ) )
& aSet0(X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f2326,plain,
spl55_216,
inference(avatar_split_clause,[],[f496,f2324]) ).
fof(f2324,plain,
( spl55_216
<=> ! [X0,X3,X2,X1] :
( sdteqdtlpzmzozddtrp0(X0,X3,X2)
| ~ sdteqdtlpzmzozddtrp0(X1,X3,X2)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aInteger0(X3)
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_216])]) ).
fof(f496,plain,
! [X2,X3,X0,X1] :
( sdteqdtlpzmzozddtrp0(X0,X3,X2)
| ~ sdteqdtlpzmzozddtrp0(X1,X3,X2)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aInteger0(X3)
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1,X2,X3] :
( sdteqdtlpzmzozddtrp0(X0,X3,X2)
| ~ sdteqdtlpzmzozddtrp0(X1,X3,X2)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aInteger0(X3)
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f102]) ).
fof(f102,plain,
! [X0,X1,X2,X3] :
( sdteqdtlpzmzozddtrp0(X0,X3,X2)
| ~ sdteqdtlpzmzozddtrp0(X1,X3,X2)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aInteger0(X3)
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0,X1,X2,X3] :
( ( aInteger0(X3)
& sz00 != X2
& aInteger0(X2)
& aInteger0(X1)
& aInteger0(X0) )
=> ( ( sdteqdtlpzmzozddtrp0(X1,X3,X2)
& sdteqdtlpzmzozddtrp0(X0,X1,X2) )
=> sdteqdtlpzmzozddtrp0(X0,X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEquModTrn) ).
fof(f2248,plain,
spl55_215,
inference(avatar_split_clause,[],[f481,f2246]) ).
fof(f481,plain,
! [X2,X0,X1] :
( sP33(X0,X1,X2)
| aElementOf0(sK54(X0,X1,X2),X0)
| aElementOf0(sK54(X0,X1,X2),X1)
| aElementOf0(sK54(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f270]) ).
fof(f270,plain,
! [X0,X1,X2] :
( ( sP33(X0,X1,X2)
| ( ( ( ~ aElementOf0(sK54(X0,X1,X2),X0)
& ~ aElementOf0(sK54(X0,X1,X2),X1) )
| ~ aInteger0(sK54(X0,X1,X2))
| ~ aElementOf0(sK54(X0,X1,X2),X2) )
& ( ( ( aElementOf0(sK54(X0,X1,X2),X0)
| aElementOf0(sK54(X0,X1,X2),X1) )
& aInteger0(sK54(X0,X1,X2)) )
| aElementOf0(sK54(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( aElementOf0(X4,X2)
| ( ~ aElementOf0(X4,X0)
& ~ aElementOf0(X4,X1) )
| ~ aInteger0(X4) )
& ( ( ( aElementOf0(X4,X0)
| aElementOf0(X4,X1) )
& aInteger0(X4) )
| ~ aElementOf0(X4,X2) ) )
| ~ sP33(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK54])],[f268,f269]) ).
fof(f269,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ( ~ aElementOf0(X3,X0)
& ~ aElementOf0(X3,X1) )
| ~ aInteger0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( ( aElementOf0(X3,X0)
| aElementOf0(X3,X1) )
& aInteger0(X3) )
| aElementOf0(X3,X2) ) )
=> ( ( ( ~ aElementOf0(sK54(X0,X1,X2),X0)
& ~ aElementOf0(sK54(X0,X1,X2),X1) )
| ~ aInteger0(sK54(X0,X1,X2))
| ~ aElementOf0(sK54(X0,X1,X2),X2) )
& ( ( ( aElementOf0(sK54(X0,X1,X2),X0)
| aElementOf0(sK54(X0,X1,X2),X1) )
& aInteger0(sK54(X0,X1,X2)) )
| aElementOf0(sK54(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f268,plain,
! [X0,X1,X2] :
( ( sP33(X0,X1,X2)
| ? [X3] :
( ( ( ~ aElementOf0(X3,X0)
& ~ aElementOf0(X3,X1) )
| ~ aInteger0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( ( aElementOf0(X3,X0)
| aElementOf0(X3,X1) )
& aInteger0(X3) )
| aElementOf0(X3,X2) ) ) )
& ( ! [X4] :
( ( aElementOf0(X4,X2)
| ( ~ aElementOf0(X4,X0)
& ~ aElementOf0(X4,X1) )
| ~ aInteger0(X4) )
& ( ( ( aElementOf0(X4,X0)
| aElementOf0(X4,X1) )
& aInteger0(X4) )
| ~ aElementOf0(X4,X2) ) )
| ~ sP33(X0,X1,X2) ) ),
inference(rectify,[],[f267]) ).
fof(f267,plain,
! [X1,X0,X2] :
( ( sP33(X1,X0,X2)
| ? [X3] :
( ( ( ~ aElementOf0(X3,X1)
& ~ aElementOf0(X3,X0) )
| ~ aInteger0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( ( aElementOf0(X3,X1)
| aElementOf0(X3,X0) )
& aInteger0(X3) )
| aElementOf0(X3,X2) ) ) )
& ( ! [X3] :
( ( aElementOf0(X3,X2)
| ( ~ aElementOf0(X3,X1)
& ~ aElementOf0(X3,X0) )
| ~ aInteger0(X3) )
& ( ( ( aElementOf0(X3,X1)
| aElementOf0(X3,X0) )
& aInteger0(X3) )
| ~ aElementOf0(X3,X2) ) )
| ~ sP33(X1,X0,X2) ) ),
inference(flattening,[],[f266]) ).
fof(f266,plain,
! [X1,X0,X2] :
( ( sP33(X1,X0,X2)
| ? [X3] :
( ( ( ~ aElementOf0(X3,X1)
& ~ aElementOf0(X3,X0) )
| ~ aInteger0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( ( aElementOf0(X3,X1)
| aElementOf0(X3,X0) )
& aInteger0(X3) )
| aElementOf0(X3,X2) ) ) )
& ( ! [X3] :
( ( aElementOf0(X3,X2)
| ( ~ aElementOf0(X3,X1)
& ~ aElementOf0(X3,X0) )
| ~ aInteger0(X3) )
& ( ( ( aElementOf0(X3,X1)
| aElementOf0(X3,X0) )
& aInteger0(X3) )
| ~ aElementOf0(X3,X2) ) )
| ~ sP33(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f145]) ).
fof(f145,plain,
! [X1,X0,X2] :
( sP33(X1,X0,X2)
<=> ! [X3] :
( aElementOf0(X3,X2)
<=> ( ( aElementOf0(X3,X1)
| aElementOf0(X3,X0) )
& aInteger0(X3) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f2244,plain,
( spl55_213
| ~ spl55_214
| ~ spl55_53
| ~ spl55_58 ),
inference(avatar_split_clause,[],[f975,f778,f758,f2241,f2237]) ).
fof(f2237,plain,
( spl55_213
<=> isOpen0(xA) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_213])]) ).
fof(f778,plain,
( spl55_58
<=> sP25(xA) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_58])]) ).
fof(f975,plain,
( ~ sP24(xA)
| isOpen0(xA)
| ~ spl55_53
| ~ spl55_58 ),
inference(resolution,[],[f780,f759]) ).
fof(f780,plain,
( sP25(xA)
| ~ spl55_58 ),
inference(avatar_component_clause,[],[f778]) ).
fof(f2199,plain,
spl55_212,
inference(avatar_split_clause,[],[f483,f2197]) ).
fof(f483,plain,
! [X2,X0,X1] :
( sP33(X0,X1,X2)
| ~ aElementOf0(sK54(X0,X1,X2),X0)
| ~ aInteger0(sK54(X0,X1,X2))
| ~ aElementOf0(sK54(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f270]) ).
fof(f2195,plain,
spl55_211,
inference(avatar_split_clause,[],[f482,f2193]) ).
fof(f482,plain,
! [X2,X0,X1] :
( sP33(X0,X1,X2)
| ~ aElementOf0(sK54(X0,X1,X2),X1)
| ~ aInteger0(sK54(X0,X1,X2))
| ~ aElementOf0(sK54(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f270]) ).
fof(f2169,plain,
spl55_210,
inference(avatar_split_clause,[],[f443,f2167]) ).
fof(f443,plain,
! [X3,X0,X1] :
( sP28(X0,X1)
| ~ aElementOf0(sK47(X0,X1),X3)
| ~ aElementOf0(X3,X0)
| ~ aInteger0(sK47(X0,X1))
| ~ aElementOf0(sK47(X0,X1),X1) ),
inference(cnf_transformation,[],[f248]) ).
fof(f248,plain,
! [X0,X1] :
( ( sP28(X0,X1)
| ( ( ! [X3] :
( ~ aElementOf0(sK47(X0,X1),X3)
| ~ aElementOf0(X3,X0) )
| ~ aInteger0(sK47(X0,X1))
| ~ aElementOf0(sK47(X0,X1),X1) )
& ( ( aElementOf0(sK47(X0,X1),sK48(X0,X1))
& aElementOf0(sK48(X0,X1),X0)
& aInteger0(sK47(X0,X1)) )
| aElementOf0(sK47(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( aElementOf0(X5,X1)
| ! [X6] :
( ~ aElementOf0(X5,X6)
| ~ aElementOf0(X6,X0) )
| ~ aInteger0(X5) )
& ( ( aElementOf0(X5,sK49(X0,X5))
& aElementOf0(sK49(X0,X5),X0)
& aInteger0(X5) )
| ~ aElementOf0(X5,X1) ) )
| ~ sP28(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK47,sK48,sK49])],[f244,f247,f246,f245]) ).
fof(f245,plain,
! [X0,X1] :
( ? [X2] :
( ( ! [X3] :
( ~ aElementOf0(X2,X3)
| ~ aElementOf0(X3,X0) )
| ~ aInteger0(X2)
| ~ aElementOf0(X2,X1) )
& ( ( ? [X4] :
( aElementOf0(X2,X4)
& aElementOf0(X4,X0) )
& aInteger0(X2) )
| aElementOf0(X2,X1) ) )
=> ( ( ! [X3] :
( ~ aElementOf0(sK47(X0,X1),X3)
| ~ aElementOf0(X3,X0) )
| ~ aInteger0(sK47(X0,X1))
| ~ aElementOf0(sK47(X0,X1),X1) )
& ( ( ? [X4] :
( aElementOf0(sK47(X0,X1),X4)
& aElementOf0(X4,X0) )
& aInteger0(sK47(X0,X1)) )
| aElementOf0(sK47(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f246,plain,
! [X0,X1] :
( ? [X4] :
( aElementOf0(sK47(X0,X1),X4)
& aElementOf0(X4,X0) )
=> ( aElementOf0(sK47(X0,X1),sK48(X0,X1))
& aElementOf0(sK48(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f247,plain,
! [X0,X5] :
( ? [X7] :
( aElementOf0(X5,X7)
& aElementOf0(X7,X0) )
=> ( aElementOf0(X5,sK49(X0,X5))
& aElementOf0(sK49(X0,X5),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f244,plain,
! [X0,X1] :
( ( sP28(X0,X1)
| ? [X2] :
( ( ! [X3] :
( ~ aElementOf0(X2,X3)
| ~ aElementOf0(X3,X0) )
| ~ aInteger0(X2)
| ~ aElementOf0(X2,X1) )
& ( ( ? [X4] :
( aElementOf0(X2,X4)
& aElementOf0(X4,X0) )
& aInteger0(X2) )
| aElementOf0(X2,X1) ) ) )
& ( ! [X5] :
( ( aElementOf0(X5,X1)
| ! [X6] :
( ~ aElementOf0(X5,X6)
| ~ aElementOf0(X6,X0) )
| ~ aInteger0(X5) )
& ( ( ? [X7] :
( aElementOf0(X5,X7)
& aElementOf0(X7,X0) )
& aInteger0(X5) )
| ~ aElementOf0(X5,X1) ) )
| ~ sP28(X0,X1) ) ),
inference(rectify,[],[f243]) ).
fof(f243,plain,
! [X0,X2] :
( ( sP28(X0,X2)
| ? [X3] :
( ( ! [X4] :
( ~ aElementOf0(X3,X4)
| ~ aElementOf0(X4,X0) )
| ~ aInteger0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( ? [X4] :
( aElementOf0(X3,X4)
& aElementOf0(X4,X0) )
& aInteger0(X3) )
| aElementOf0(X3,X2) ) ) )
& ( ! [X3] :
( ( aElementOf0(X3,X2)
| ! [X4] :
( ~ aElementOf0(X3,X4)
| ~ aElementOf0(X4,X0) )
| ~ aInteger0(X3) )
& ( ( ? [X4] :
( aElementOf0(X3,X4)
& aElementOf0(X4,X0) )
& aInteger0(X3) )
| ~ aElementOf0(X3,X2) ) )
| ~ sP28(X0,X2) ) ),
inference(flattening,[],[f242]) ).
fof(f242,plain,
! [X0,X2] :
( ( sP28(X0,X2)
| ? [X3] :
( ( ! [X4] :
( ~ aElementOf0(X3,X4)
| ~ aElementOf0(X4,X0) )
| ~ aInteger0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( ? [X4] :
( aElementOf0(X3,X4)
& aElementOf0(X4,X0) )
& aInteger0(X3) )
| aElementOf0(X3,X2) ) ) )
& ( ! [X3] :
( ( aElementOf0(X3,X2)
| ! [X4] :
( ~ aElementOf0(X3,X4)
| ~ aElementOf0(X4,X0) )
| ~ aInteger0(X3) )
& ( ( ? [X4] :
( aElementOf0(X3,X4)
& aElementOf0(X4,X0) )
& aInteger0(X3) )
| ~ aElementOf0(X3,X2) ) )
| ~ sP28(X0,X2) ) ),
inference(nnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0,X2] :
( sP28(X0,X2)
<=> ! [X3] :
( aElementOf0(X3,X2)
<=> ( ? [X4] :
( aElementOf0(X3,X4)
& aElementOf0(X4,X0) )
& aInteger0(X3) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f2165,plain,
spl55_209,
inference(avatar_split_clause,[],[f349,f2163]) ).
fof(f2163,plain,
( spl55_209
<=> ! [X0,X3,X2,X1] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| sdtpldt0(X2,smndt0(X1)) != sdtasdt0(X0,X3)
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ sP16(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_209])]) ).
fof(f349,plain,
! [X2,X3,X0,X1] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| sdtpldt0(X2,smndt0(X1)) != sdtasdt0(X0,X3)
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ sP16(X0,X1) ),
inference(cnf_transformation,[],[f200]) ).
fof(f200,plain,
! [X0,X1] :
( ! [X2] :
( ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ( ~ sdteqdtlpzmzozddtrp0(X2,X1,X0)
& ~ aDivisorOf0(X0,sdtpldt0(X2,smndt0(X1)))
& ! [X3] :
( sdtpldt0(X2,smndt0(X1)) != sdtasdt0(X0,X3)
| ~ aInteger0(X3) ) )
| ~ aInteger0(X2) )
& sP15(X0,X1,X2) )
| ~ sP16(X0,X1) ),
inference(rectify,[],[f199]) ).
fof(f199,plain,
! [X8,X7] :
( ! [X10] :
( ( aElementOf0(X10,szAzrzSzezqlpdtcmdtrp0(X7,X8))
| ( ~ sdteqdtlpzmzozddtrp0(X10,X7,X8)
& ~ aDivisorOf0(X8,sdtpldt0(X10,smndt0(X7)))
& ! [X11] :
( sdtpldt0(X10,smndt0(X7)) != sdtasdt0(X8,X11)
| ~ aInteger0(X11) ) )
| ~ aInteger0(X10) )
& sP15(X8,X7,X10) )
| ~ sP16(X8,X7) ),
inference(nnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X8,X7] :
( ! [X10] :
( ( aElementOf0(X10,szAzrzSzezqlpdtcmdtrp0(X7,X8))
| ( ~ sdteqdtlpzmzozddtrp0(X10,X7,X8)
& ~ aDivisorOf0(X8,sdtpldt0(X10,smndt0(X7)))
& ! [X11] :
( sdtpldt0(X10,smndt0(X7)) != sdtasdt0(X8,X11)
| ~ aInteger0(X11) ) )
| ~ aInteger0(X10) )
& sP15(X8,X7,X10) )
| ~ sP16(X8,X7) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f2161,plain,
spl55_208,
inference(avatar_split_clause,[],[f333,f2159]) ).
fof(f2159,plain,
( spl55_208
<=> ! [X0,X3,X2,X1] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| sdtpldt0(X2,smndt0(X1)) != sdtasdt0(X0,X3)
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ sP20(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_208])]) ).
fof(f333,plain,
! [X2,X3,X0,X1] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| sdtpldt0(X2,smndt0(X1)) != sdtasdt0(X0,X3)
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ sP20(X0,X1) ),
inference(cnf_transformation,[],[f188]) ).
fof(f188,plain,
! [X0,X1] :
( ! [X2] :
( ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ( ~ sdteqdtlpzmzozddtrp0(X2,X1,X0)
& ~ aDivisorOf0(X0,sdtpldt0(X2,smndt0(X1)))
& ! [X3] :
( sdtpldt0(X2,smndt0(X1)) != sdtasdt0(X0,X3)
| ~ aInteger0(X3) ) )
| ~ aInteger0(X2) )
& sP19(X0,X1,X2) )
| ~ sP20(X0,X1) ),
inference(rectify,[],[f187]) ).
fof(f187,plain,
! [X1,X0] :
( ! [X3] :
( ( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| ( ~ sdteqdtlpzmzozddtrp0(X3,X0,X1)
& ~ aDivisorOf0(X1,sdtpldt0(X3,smndt0(X0)))
& ! [X4] :
( sdtpldt0(X3,smndt0(X0)) != sdtasdt0(X1,X4)
| ~ aInteger0(X4) ) )
| ~ aInteger0(X3) )
& sP19(X1,X0,X3) )
| ~ sP20(X1,X0) ),
inference(nnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X1,X0] :
( ! [X3] :
( ( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| ( ~ sdteqdtlpzmzozddtrp0(X3,X0,X1)
& ~ aDivisorOf0(X1,sdtpldt0(X3,smndt0(X0)))
& ! [X4] :
( sdtpldt0(X3,smndt0(X0)) != sdtasdt0(X1,X4)
| ~ aInteger0(X4) ) )
| ~ aInteger0(X3) )
& sP19(X1,X0,X3) )
| ~ sP20(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f2081,plain,
spl55_207,
inference(avatar_split_clause,[],[f493,f2079]) ).
fof(f493,plain,
! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0,X1,X2] :
( ( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) )
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f98]) ).
fof(f98,plain,
! [X0,X1,X2] :
( ( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) )
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aInteger0(X2)
& aInteger0(X1)
& aInteger0(X0) )
=> ( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDistrib) ).
fof(f2077,plain,
spl55_206,
inference(avatar_split_clause,[],[f492,f2075]) ).
fof(f492,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f2073,plain,
spl55_205,
inference(avatar_split_clause,[],[f489,f2071]) ).
fof(f2071,plain,
( spl55_205
<=> ! [X2,X0,X1] :
( sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1)))
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_205])]) ).
fof(f489,plain,
! [X2,X0,X1] :
( sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1)))
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f273]) ).
fof(f273,plain,
! [X0,X1,X2] :
( ( ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1))) )
& ( aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1)))
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2) ) )
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(nnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0,X1,X2] :
( ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
<=> aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1))) )
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f92]) ).
fof(f92,plain,
! [X0,X1,X2] :
( ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
<=> aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1))) )
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0,X1,X2] :
( ( sz00 != X2
& aInteger0(X2)
& aInteger0(X1)
& aInteger0(X0) )
=> ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
<=> aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEquMod) ).
fof(f2069,plain,
spl55_204,
inference(avatar_split_clause,[],[f488,f2067]) ).
fof(f2067,plain,
( spl55_204
<=> ! [X2,X0,X1] :
( aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1)))
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_204])]) ).
fof(f488,plain,
! [X2,X0,X1] :
( aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1)))
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f273]) ).
fof(f2065,plain,
( spl55_203
| ~ spl55_27
| ~ spl55_114 ),
inference(avatar_split_clause,[],[f1464,f1128,f636,f2062]) ).
fof(f2062,plain,
( spl55_203
<=> sP23(smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_203])]) ).
fof(f1464,plain,
( sP23(smndt0(sz10))
| ~ spl55_27
| ~ spl55_114 ),
inference(resolution,[],[f1129,f637]) ).
fof(f2060,plain,
spl55_202,
inference(avatar_split_clause,[],[f456,f2058]) ).
fof(f2058,plain,
( spl55_202
<=> ! [X2,X0,X1] :
( sP30(X0,X1,X2)
| sdteqdtlpzmzozddtrp0(sK52(X0,X1,X2),X1,X0)
| aElementOf0(sK52(X0,X1,X2),X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_202])]) ).
fof(f456,plain,
! [X2,X0,X1] :
( sP30(X0,X1,X2)
| sdteqdtlpzmzozddtrp0(sK52(X0,X1,X2),X1,X0)
| aElementOf0(sK52(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f258]) ).
fof(f2056,plain,
spl55_201,
inference(avatar_split_clause,[],[f431,f2054]) ).
fof(f431,plain,
! [X0,X1] :
( sP26(X0,X1)
| aElementOf0(sK46(X0,X1),X0)
| ~ aInteger0(sK46(X0,X1))
| ~ aElementOf0(sK46(X0,X1),X1)
| ~ aSet0(X1) ),
inference(cnf_transformation,[],[f238]) ).
fof(f238,plain,
! [X0,X1] :
( ( sP26(X0,X1)
| ( ( aElementOf0(sK46(X0,X1),X0)
| ~ aInteger0(sK46(X0,X1))
| ~ aElementOf0(sK46(X0,X1),X1) )
& ( ( ~ aElementOf0(sK46(X0,X1),X0)
& aInteger0(sK46(X0,X1)) )
| aElementOf0(sK46(X0,X1),X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X1)
| aElementOf0(X3,X0)
| ~ aInteger0(X3) )
& ( ( ~ aElementOf0(X3,X0)
& aInteger0(X3) )
| ~ aElementOf0(X3,X1) ) )
& aSet0(X1) )
| ~ sP26(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK46])],[f236,f237]) ).
fof(f237,plain,
! [X0,X1] :
( ? [X2] :
( ( aElementOf0(X2,X0)
| ~ aInteger0(X2)
| ~ aElementOf0(X2,X1) )
& ( ( ~ aElementOf0(X2,X0)
& aInteger0(X2) )
| aElementOf0(X2,X1) ) )
=> ( ( aElementOf0(sK46(X0,X1),X0)
| ~ aInteger0(sK46(X0,X1))
| ~ aElementOf0(sK46(X0,X1),X1) )
& ( ( ~ aElementOf0(sK46(X0,X1),X0)
& aInteger0(sK46(X0,X1)) )
| aElementOf0(sK46(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f236,plain,
! [X0,X1] :
( ( sP26(X0,X1)
| ? [X2] :
( ( aElementOf0(X2,X0)
| ~ aInteger0(X2)
| ~ aElementOf0(X2,X1) )
& ( ( ~ aElementOf0(X2,X0)
& aInteger0(X2) )
| aElementOf0(X2,X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X1)
| aElementOf0(X3,X0)
| ~ aInteger0(X3) )
& ( ( ~ aElementOf0(X3,X0)
& aInteger0(X3) )
| ~ aElementOf0(X3,X1) ) )
& aSet0(X1) )
| ~ sP26(X0,X1) ) ),
inference(rectify,[],[f235]) ).
fof(f235,plain,
! [X0,X1] :
( ( sP26(X0,X1)
| ? [X2] :
( ( aElementOf0(X2,X0)
| ~ aInteger0(X2)
| ~ aElementOf0(X2,X1) )
& ( ( ~ aElementOf0(X2,X0)
& aInteger0(X2) )
| aElementOf0(X2,X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( ( aElementOf0(X2,X1)
| aElementOf0(X2,X0)
| ~ aInteger0(X2) )
& ( ( ~ aElementOf0(X2,X0)
& aInteger0(X2) )
| ~ aElementOf0(X2,X1) ) )
& aSet0(X1) )
| ~ sP26(X0,X1) ) ),
inference(flattening,[],[f234]) ).
fof(f234,plain,
! [X0,X1] :
( ( sP26(X0,X1)
| ? [X2] :
( ( aElementOf0(X2,X0)
| ~ aInteger0(X2)
| ~ aElementOf0(X2,X1) )
& ( ( ~ aElementOf0(X2,X0)
& aInteger0(X2) )
| aElementOf0(X2,X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( ( aElementOf0(X2,X1)
| aElementOf0(X2,X0)
| ~ aInteger0(X2) )
& ( ( ~ aElementOf0(X2,X0)
& aInteger0(X2) )
| ~ aElementOf0(X2,X1) ) )
& aSet0(X1) )
| ~ sP26(X0,X1) ) ),
inference(nnf_transformation,[],[f134]) ).
fof(f134,plain,
! [X0,X1] :
( sP26(X0,X1)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ( ~ aElementOf0(X2,X0)
& aInteger0(X2) ) )
& aSet0(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f1992,plain,
spl55_200,
inference(avatar_split_clause,[],[f491,f1990]) ).
fof(f491,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X0,X1),X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0,X1,X2] :
( sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X0,X1),X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f96]) ).
fof(f96,plain,
! [X0,X1,X2] :
( sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X0,X1),X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0,X1,X2] :
( ( aInteger0(X2)
& aInteger0(X1)
& aInteger0(X0) )
=> sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X0,X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulAsso) ).
fof(f1988,plain,
spl55_199,
inference(avatar_split_clause,[],[f490,f1986]) ).
fof(f490,plain,
! [X2,X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0,X1,X2] :
( sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f94]) ).
fof(f94,plain,
! [X0,X1,X2] :
( sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1,X2] :
( ( aInteger0(X2)
& aInteger0(X1)
& aInteger0(X0) )
=> sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddAsso) ).
fof(f1984,plain,
spl55_198,
inference(avatar_split_clause,[],[f487,f1982]) ).
fof(f1982,plain,
( spl55_198
<=> ! [X2,X0,X1] :
( sdteqdtlpzmzozddtrp0(X1,X0,X2)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_198])]) ).
fof(f487,plain,
! [X2,X0,X1] :
( sdteqdtlpzmzozddtrp0(X1,X0,X2)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0,X1,X2] :
( sdteqdtlpzmzozddtrp0(X1,X0,X2)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f90]) ).
fof(f90,plain,
! [X0,X1,X2] :
( sdteqdtlpzmzozddtrp0(X1,X0,X2)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0,X1,X2] :
( ( sz00 != X2
& aInteger0(X2)
& aInteger0(X1)
& aInteger0(X0) )
=> ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
=> sdteqdtlpzmzozddtrp0(X1,X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEquModSym) ).
fof(f1980,plain,
spl55_197,
inference(avatar_split_clause,[],[f486,f1978]) ).
fof(f1978,plain,
( spl55_197
<=> ! [X2,X0,X1] :
( sdtbsmnsldt0(X0,X1) = X2
| ~ sP33(X1,X0,X2)
| ~ aSet0(X2)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_197])]) ).
fof(f486,plain,
! [X2,X0,X1] :
( sdtbsmnsldt0(X0,X1) = X2
| ~ sP33(X1,X0,X2)
| ~ aSet0(X2)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[],[f272]) ).
fof(f272,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtbsmnsldt0(X0,X1) = X2
| ~ sP33(X1,X0,X2)
| ~ aSet0(X2) )
& ( ( sP33(X1,X0,X2)
& aSet0(X2) )
| sdtbsmnsldt0(X0,X1) != X2 ) )
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(flattening,[],[f271]) ).
fof(f271,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtbsmnsldt0(X0,X1) = X2
| ~ sP33(X1,X0,X2)
| ~ aSet0(X2) )
& ( ( sP33(X1,X0,X2)
& aSet0(X2) )
| sdtbsmnsldt0(X0,X1) != X2 ) )
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(nnf_transformation,[],[f146]) ).
fof(f146,plain,
! [X0,X1] :
( ! [X2] :
( sdtbsmnsldt0(X0,X1) = X2
<=> ( sP33(X1,X0,X2)
& aSet0(X2) ) )
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(definition_folding,[],[f89,f145]) ).
fof(f89,plain,
! [X0,X1] :
( ! [X2] :
( sdtbsmnsldt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( ( aElementOf0(X3,X1)
| aElementOf0(X3,X0) )
& aInteger0(X3) ) )
& aSet0(X2) ) )
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(flattening,[],[f88]) ).
fof(f88,plain,
! [X0,X1] :
( ! [X2] :
( sdtbsmnsldt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( ( aElementOf0(X3,X1)
| aElementOf0(X3,X0) )
& aInteger0(X3) ) )
& aSet0(X2) ) )
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0,X1] :
( ( aSubsetOf0(X1,cS1395)
& aSubsetOf0(X0,cS1395) )
=> ! [X2] :
( sdtbsmnsldt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( ( aElementOf0(X3,X1)
| aElementOf0(X3,X0) )
& aInteger0(X3) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mUnion) ).
fof(f1976,plain,
spl55_196,
inference(avatar_split_clause,[],[f475,f1974]) ).
fof(f1974,plain,
( spl55_196
<=> ! [X2,X0,X1] :
( sdtslmnbsdt0(X0,X1) = X2
| ~ sP32(X1,X0,X2)
| ~ aSet0(X2)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_196])]) ).
fof(f475,plain,
! [X2,X0,X1] :
( sdtslmnbsdt0(X0,X1) = X2
| ~ sP32(X1,X0,X2)
| ~ aSet0(X2)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[],[f265]) ).
fof(f265,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtslmnbsdt0(X0,X1) = X2
| ~ sP32(X1,X0,X2)
| ~ aSet0(X2) )
& ( ( sP32(X1,X0,X2)
& aSet0(X2) )
| sdtslmnbsdt0(X0,X1) != X2 ) )
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(flattening,[],[f264]) ).
fof(f264,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtslmnbsdt0(X0,X1) = X2
| ~ sP32(X1,X0,X2)
| ~ aSet0(X2) )
& ( ( sP32(X1,X0,X2)
& aSet0(X2) )
| sdtslmnbsdt0(X0,X1) != X2 ) )
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(nnf_transformation,[],[f144]) ).
fof(f144,plain,
! [X0,X1] :
( ! [X2] :
( sdtslmnbsdt0(X0,X1) = X2
<=> ( sP32(X1,X0,X2)
& aSet0(X2) ) )
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(definition_folding,[],[f87,f143]) ).
fof(f87,plain,
! [X0,X1] :
( ! [X2] :
( sdtslmnbsdt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElementOf0(X3,X1)
& aElementOf0(X3,X0)
& aInteger0(X3) ) )
& aSet0(X2) ) )
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(flattening,[],[f86]) ).
fof(f86,plain,
! [X0,X1] :
( ! [X2] :
( sdtslmnbsdt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElementOf0(X3,X1)
& aElementOf0(X3,X0)
& aInteger0(X3) ) )
& aSet0(X2) ) )
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0,X1] :
( ( aSubsetOf0(X1,cS1395)
& aSubsetOf0(X0,cS1395) )
=> ! [X2] :
( sdtslmnbsdt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElementOf0(X3,X1)
& aElementOf0(X3,X0)
& aInteger0(X3) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntersection) ).
fof(f1972,plain,
spl55_195,
inference(avatar_split_clause,[],[f455,f1970]) ).
fof(f455,plain,
! [X2,X0,X1] :
( sP30(X0,X1,X2)
| aInteger0(sK52(X0,X1,X2))
| aElementOf0(sK52(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f258]) ).
fof(f1876,plain,
spl55_194,
inference(avatar_split_clause,[],[f471,f1874]) ).
fof(f471,plain,
! [X2,X0,X1] :
( sP32(X0,X1,X2)
| aElementOf0(sK53(X0,X1,X2),X0)
| aElementOf0(sK53(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f263]) ).
fof(f1872,plain,
spl55_193,
inference(avatar_split_clause,[],[f470,f1870]) ).
fof(f470,plain,
! [X2,X0,X1] :
( sP32(X0,X1,X2)
| aElementOf0(sK53(X0,X1,X2),X1)
| aElementOf0(sK53(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f263]) ).
fof(f1868,plain,
spl55_192,
inference(avatar_split_clause,[],[f350,f1866]) ).
fof(f1866,plain,
( spl55_192
<=> ! [X2,X0,X1] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ~ aDivisorOf0(X0,sdtpldt0(X2,smndt0(X1)))
| ~ aInteger0(X2)
| ~ sP16(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_192])]) ).
fof(f350,plain,
! [X2,X0,X1] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ~ aDivisorOf0(X0,sdtpldt0(X2,smndt0(X1)))
| ~ aInteger0(X2)
| ~ sP16(X0,X1) ),
inference(cnf_transformation,[],[f200]) ).
fof(f1864,plain,
spl55_191,
inference(avatar_split_clause,[],[f334,f1862]) ).
fof(f1862,plain,
( spl55_191
<=> ! [X2,X0,X1] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ~ aDivisorOf0(X0,sdtpldt0(X2,smndt0(X1)))
| ~ aInteger0(X2)
| ~ sP20(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_191])]) ).
fof(f334,plain,
! [X2,X0,X1] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ~ aDivisorOf0(X0,sdtpldt0(X2,smndt0(X1)))
| ~ aInteger0(X2)
| ~ sP20(X0,X1) ),
inference(cnf_transformation,[],[f188]) ).
fof(f1792,plain,
( ~ spl55_190
| ~ spl55_61
| ~ spl55_131 ),
inference(avatar_split_clause,[],[f1292,f1288,f800,f1789]) ).
fof(f1292,plain,
( ~ aElementOf0(sK34,xB)
| ~ spl55_61
| ~ spl55_131 ),
inference(resolution,[],[f1290,f801]) ).
fof(f1786,plain,
spl55_189,
inference(avatar_split_clause,[],[f480,f1784]) ).
fof(f480,plain,
! [X2,X0,X1] :
( sP33(X0,X1,X2)
| aInteger0(sK54(X0,X1,X2))
| aElementOf0(sK54(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f270]) ).
fof(f1782,plain,
spl55_188,
inference(avatar_split_clause,[],[f469,f1780]) ).
fof(f469,plain,
! [X2,X0,X1] :
( sP32(X0,X1,X2)
| aInteger0(sK53(X0,X1,X2))
| aElementOf0(sK53(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f263]) ).
fof(f1778,plain,
spl55_187,
inference(avatar_split_clause,[],[f468,f1776]) ).
fof(f1776,plain,
( spl55_187
<=> ! [X4,X0,X2,X1] :
( aElementOf0(X4,X2)
| ~ aElementOf0(X4,X0)
| ~ aElementOf0(X4,X1)
| ~ aInteger0(X4)
| ~ sP32(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_187])]) ).
fof(f468,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElementOf0(X4,X0)
| ~ aElementOf0(X4,X1)
| ~ aInteger0(X4)
| ~ sP32(X0,X1,X2) ),
inference(cnf_transformation,[],[f263]) ).
fof(f1774,plain,
spl55_186,
inference(avatar_split_clause,[],[f463,f1772]) ).
fof(f1772,plain,
( spl55_186
<=> ! [X0,X1] :
( sz00 = X1
| sz00 = X0
| sz00 != sdtasdt0(X0,X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_186])]) ).
fof(f463,plain,
! [X0,X1] :
( sz00 = X1
| sz00 = X0
| sz00 != sdtasdt0(X0,X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0,X1] :
( sz00 = X1
| sz00 = X0
| sz00 != sdtasdt0(X0,X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f82]) ).
fof(f82,plain,
! [X0,X1] :
( sz00 = X1
| sz00 = X0
| sz00 != sdtasdt0(X0,X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0,X1] :
( ( aInteger0(X1)
& aInteger0(X0) )
=> ( sz00 = sdtasdt0(X0,X1)
=> ( sz00 = X1
| sz00 = X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroDiv) ).
fof(f1770,plain,
spl55_185,
inference(avatar_split_clause,[],[f442,f1768]) ).
fof(f1768,plain,
( spl55_185
<=> ! [X0,X1] :
( sP28(X0,X1)
| aElementOf0(sK47(X0,X1),sK48(X0,X1))
| aElementOf0(sK47(X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_185])]) ).
fof(f442,plain,
! [X0,X1] :
( sP28(X0,X1)
| aElementOf0(sK47(X0,X1),sK48(X0,X1))
| aElementOf0(sK47(X0,X1),X1) ),
inference(cnf_transformation,[],[f248]) ).
fof(f1766,plain,
spl55_184,
inference(avatar_split_clause,[],[f430,f1764]) ).
fof(f430,plain,
! [X0,X1] :
( sP26(X0,X1)
| ~ aElementOf0(sK46(X0,X1),X0)
| aElementOf0(sK46(X0,X1),X1)
| ~ aSet0(X1) ),
inference(cnf_transformation,[],[f238]) ).
fof(f1762,plain,
spl55_183,
inference(avatar_split_clause,[],[f357,f1760]) ).
fof(f1760,plain,
( spl55_183
<=> ! [X2,X0,X1] :
( sdtpldt0(X2,smndt0(X1)) = sdtasdt0(X0,sK40(X0,X1,X2))
| ~ sP14(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_183])]) ).
fof(f357,plain,
! [X2,X0,X1] :
( sdtpldt0(X2,smndt0(X1)) = sdtasdt0(X0,sK40(X0,X1,X2))
| ~ sP14(X0,X1,X2) ),
inference(cnf_transformation,[],[f206]) ).
fof(f206,plain,
! [X0,X1,X2] :
( ( sdtpldt0(X2,smndt0(X1)) = sdtasdt0(X0,sK40(X0,X1,X2))
& aInteger0(sK40(X0,X1,X2)) )
| ~ sP14(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK40])],[f204,f205]) ).
fof(f205,plain,
! [X0,X1,X2] :
( ? [X3] :
( sdtpldt0(X2,smndt0(X1)) = sdtasdt0(X0,X3)
& aInteger0(X3) )
=> ( sdtpldt0(X2,smndt0(X1)) = sdtasdt0(X0,sK40(X0,X1,X2))
& aInteger0(sK40(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f204,plain,
! [X0,X1,X2] :
( ? [X3] :
( sdtpldt0(X2,smndt0(X1)) = sdtasdt0(X0,X3)
& aInteger0(X3) )
| ~ sP14(X0,X1,X2) ),
inference(rectify,[],[f203]) ).
fof(f203,plain,
! [X8,X7,X10] :
( ? [X12] :
( sdtpldt0(X10,smndt0(X7)) = sdtasdt0(X8,X12)
& aInteger0(X12) )
| ~ sP14(X8,X7,X10) ),
inference(nnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X8,X7,X10] :
( ? [X12] :
( sdtpldt0(X10,smndt0(X7)) = sdtasdt0(X8,X12)
& aInteger0(X12) )
| ~ sP14(X8,X7,X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f1758,plain,
spl55_182,
inference(avatar_split_clause,[],[f354,f1756]) ).
fof(f1756,plain,
( spl55_182
<=> ! [X2,X0,X1] :
( aDivisorOf0(X0,sdtpldt0(X2,smndt0(X1)))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ~ sP15(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_182])]) ).
fof(f354,plain,
! [X2,X0,X1] :
( aDivisorOf0(X0,sdtpldt0(X2,smndt0(X1)))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ~ sP15(X0,X1,X2) ),
inference(cnf_transformation,[],[f202]) ).
fof(f202,plain,
! [X0,X1,X2] :
( ( sdteqdtlpzmzozddtrp0(X2,X1,X0)
& aDivisorOf0(X0,sdtpldt0(X2,smndt0(X1)))
& sP14(X0,X1,X2)
& aInteger0(X2) )
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ~ sP15(X0,X1,X2) ),
inference(rectify,[],[f201]) ).
fof(f201,plain,
! [X8,X7,X10] :
( ( sdteqdtlpzmzozddtrp0(X10,X7,X8)
& aDivisorOf0(X8,sdtpldt0(X10,smndt0(X7)))
& sP14(X8,X7,X10)
& aInteger0(X10) )
| ~ aElementOf0(X10,szAzrzSzezqlpdtcmdtrp0(X7,X8))
| ~ sP15(X8,X7,X10) ),
inference(nnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X8,X7,X10] :
( ( sdteqdtlpzmzozddtrp0(X10,X7,X8)
& aDivisorOf0(X8,sdtpldt0(X10,smndt0(X7)))
& sP14(X8,X7,X10)
& aInteger0(X10) )
| ~ aElementOf0(X10,szAzrzSzezqlpdtcmdtrp0(X7,X8))
| ~ sP15(X8,X7,X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f1754,plain,
( ~ spl55_181
| ~ spl55_60
| ~ spl55_130 ),
inference(avatar_split_clause,[],[f1284,f1280,f796,f1751]) ).
fof(f1284,plain,
( ~ aElementOf0(sK34,xA)
| ~ spl55_60
| ~ spl55_130 ),
inference(resolution,[],[f1282,f797]) ).
fof(f1749,plain,
spl55_180,
inference(avatar_split_clause,[],[f341,f1747]) ).
fof(f1747,plain,
( spl55_180
<=> ! [X2,X0,X1] :
( sdtpldt0(X2,smndt0(X1)) = sdtasdt0(X0,sK38(X0,X1,X2))
| ~ sP18(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_180])]) ).
fof(f341,plain,
! [X2,X0,X1] :
( sdtpldt0(X2,smndt0(X1)) = sdtasdt0(X0,sK38(X0,X1,X2))
| ~ sP18(X0,X1,X2) ),
inference(cnf_transformation,[],[f194]) ).
fof(f194,plain,
! [X0,X1,X2] :
( ( sdtpldt0(X2,smndt0(X1)) = sdtasdt0(X0,sK38(X0,X1,X2))
& aInteger0(sK38(X0,X1,X2)) )
| ~ sP18(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK38])],[f192,f193]) ).
fof(f193,plain,
! [X0,X1,X2] :
( ? [X3] :
( sdtpldt0(X2,smndt0(X1)) = sdtasdt0(X0,X3)
& aInteger0(X3) )
=> ( sdtpldt0(X2,smndt0(X1)) = sdtasdt0(X0,sK38(X0,X1,X2))
& aInteger0(sK38(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f192,plain,
! [X0,X1,X2] :
( ? [X3] :
( sdtpldt0(X2,smndt0(X1)) = sdtasdt0(X0,X3)
& aInteger0(X3) )
| ~ sP18(X0,X1,X2) ),
inference(rectify,[],[f191]) ).
fof(f191,plain,
! [X1,X0,X3] :
( ? [X5] :
( sdtpldt0(X3,smndt0(X0)) = sdtasdt0(X1,X5)
& aInteger0(X5) )
| ~ sP18(X1,X0,X3) ),
inference(nnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X1,X0,X3] :
( ? [X5] :
( sdtpldt0(X3,smndt0(X0)) = sdtasdt0(X1,X5)
& aInteger0(X5) )
| ~ sP18(X1,X0,X3) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f1745,plain,
spl55_179,
inference(avatar_split_clause,[],[f338,f1743]) ).
fof(f1743,plain,
( spl55_179
<=> ! [X2,X0,X1] :
( aDivisorOf0(X0,sdtpldt0(X2,smndt0(X1)))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ~ sP19(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_179])]) ).
fof(f338,plain,
! [X2,X0,X1] :
( aDivisorOf0(X0,sdtpldt0(X2,smndt0(X1)))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ~ sP19(X0,X1,X2) ),
inference(cnf_transformation,[],[f190]) ).
fof(f190,plain,
! [X0,X1,X2] :
( ( sdteqdtlpzmzozddtrp0(X2,X1,X0)
& aDivisorOf0(X0,sdtpldt0(X2,smndt0(X1)))
& sP18(X0,X1,X2)
& aInteger0(X2) )
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ~ sP19(X0,X1,X2) ),
inference(rectify,[],[f189]) ).
fof(f189,plain,
! [X1,X0,X3] :
( ( sdteqdtlpzmzozddtrp0(X3,X0,X1)
& aDivisorOf0(X1,sdtpldt0(X3,smndt0(X0)))
& sP18(X1,X0,X3)
& aInteger0(X3) )
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| ~ sP19(X1,X0,X3) ),
inference(nnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X1,X0,X3] :
( ( sdteqdtlpzmzozddtrp0(X3,X0,X1)
& aDivisorOf0(X1,sdtpldt0(X3,smndt0(X0)))
& sP18(X1,X0,X3)
& aInteger0(X3) )
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| ~ sP19(X1,X0,X3) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f1694,plain,
spl55_178,
inference(avatar_split_clause,[],[f464,f1692]) ).
fof(f1692,plain,
( spl55_178
<=> ! [X0,X1] :
( isOpen0(sdtslmnbsdt0(X0,X1))
| ~ isOpen0(X1)
| ~ isOpen0(X0)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_178])]) ).
fof(f464,plain,
! [X0,X1] :
( isOpen0(sdtslmnbsdt0(X0,X1))
| ~ isOpen0(X1)
| ~ isOpen0(X0)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0,X1] :
( isOpen0(sdtslmnbsdt0(X0,X1))
| ~ isOpen0(X1)
| ~ isOpen0(X0)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(flattening,[],[f84]) ).
fof(f84,plain,
! [X0,X1] :
( isOpen0(sdtslmnbsdt0(X0,X1))
| ~ isOpen0(X1)
| ~ isOpen0(X0)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0,X1] :
( ( isOpen0(X1)
& isOpen0(X0)
& aSubsetOf0(X1,cS1395)
& aSubsetOf0(X0,cS1395) )
=> isOpen0(sdtslmnbsdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mInterOpen) ).
fof(f1690,plain,
spl55_177,
inference(avatar_split_clause,[],[f439,f1688]) ).
fof(f439,plain,
! [X0,X1,X6,X5] :
( aElementOf0(X5,X1)
| ~ aElementOf0(X5,X6)
| ~ aElementOf0(X6,X0)
| ~ aInteger0(X5)
| ~ sP28(X0,X1) ),
inference(cnf_transformation,[],[f248]) ).
fof(f1686,plain,
spl55_176,
inference(avatar_split_clause,[],[f429,f1684]) ).
fof(f429,plain,
! [X0,X1] :
( sP26(X0,X1)
| aInteger0(sK46(X0,X1))
| aElementOf0(sK46(X0,X1),X1)
| ~ aSet0(X1) ),
inference(cnf_transformation,[],[f238]) ).
fof(f1682,plain,
spl55_175,
inference(avatar_split_clause,[],[f351,f1680]) ).
fof(f351,plain,
! [X2,X0,X1] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ~ sdteqdtlpzmzozddtrp0(X2,X1,X0)
| ~ aInteger0(X2)
| ~ sP16(X0,X1) ),
inference(cnf_transformation,[],[f200]) ).
fof(f1678,plain,
spl55_174,
inference(avatar_split_clause,[],[f335,f1676]) ).
fof(f335,plain,
! [X2,X0,X1] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ~ sdteqdtlpzmzozddtrp0(X2,X1,X0)
| ~ aInteger0(X2)
| ~ sP20(X0,X1) ),
inference(cnf_transformation,[],[f188]) ).
fof(f1670,plain,
( ~ spl55_14
| spl55_173 ),
inference(avatar_split_clause,[],[f302,f1668,f573]) ).
fof(f573,plain,
( spl55_14
<=> sP8 ),
introduced(avatar_definition,[new_symbols(naming,[spl55_14])]) ).
fof(f302,plain,
! [X0] :
( aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0(X0,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(X0)
| ~ sP8 ),
inference(cnf_transformation,[],[f158]) ).
fof(f158,plain,
( ! [X0] :
( ( aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0(X0,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(X0) )
& ( ( ~ aElementOf0(X0,sdtbsmnsldt0(xA,xB))
& aInteger0(X0) )
| ~ aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB))) ) )
| ~ sP8 ),
inference(rectify,[],[f157]) ).
fof(f157,plain,
( ! [X1] :
( ( aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0(X1,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(X1) )
& ( ( ~ aElementOf0(X1,sdtbsmnsldt0(xA,xB))
& aInteger0(X1) )
| ~ aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB))) ) )
| ~ sP8 ),
inference(flattening,[],[f156]) ).
fof(f156,plain,
( ! [X1] :
( ( aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0(X1,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(X1) )
& ( ( ~ aElementOf0(X1,sdtbsmnsldt0(xA,xB))
& aInteger0(X1) )
| ~ aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB))) ) )
| ~ sP8 ),
inference(nnf_transformation,[],[f112]) ).
fof(f112,plain,
( ! [X1] :
( aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( ~ aElementOf0(X1,sdtbsmnsldt0(xA,xB))
& aInteger0(X1) ) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f1596,plain,
spl55_172,
inference(avatar_split_clause,[],[f477,f1594]) ).
fof(f477,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X0)
| aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ sP33(X0,X1,X2) ),
inference(cnf_transformation,[],[f270]) ).
fof(f1592,plain,
spl55_171,
inference(avatar_split_clause,[],[f454,f1590]) ).
fof(f454,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| ~ sdteqdtlpzmzozddtrp0(X4,X1,X0)
| ~ aInteger0(X4)
| ~ sP30(X0,X1,X2) ),
inference(cnf_transformation,[],[f258]) ).
fof(f1588,plain,
spl55_170,
inference(avatar_split_clause,[],[f441,f1586]) ).
fof(f441,plain,
! [X0,X1] :
( sP28(X0,X1)
| aElementOf0(sK48(X0,X1),X0)
| aElementOf0(sK47(X0,X1),X1) ),
inference(cnf_transformation,[],[f248]) ).
fof(f1584,plain,
spl55_169,
inference(avatar_split_clause,[],[f421,f1582]) ).
fof(f1582,plain,
( spl55_169
<=> ! [X2,X0] :
( sP24(X0)
| ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sK44(X0),X2),X0)
| sz00 = X2
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_169])]) ).
fof(f421,plain,
! [X2,X0] :
( sP24(X0)
| ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sK44(X0),X2),X0)
| sz00 = X2
| ~ aInteger0(X2) ),
inference(cnf_transformation,[],[f232]) ).
fof(f232,plain,
! [X0] :
( ( sP24(X0)
| ( ! [X2] :
( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sK44(X0),X2),X0)
| sz00 = X2
| ~ aInteger0(X2) )
& aElementOf0(sK44(X0),X0) ) )
& ( ! [X3] :
( ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X3,sK45(X0,X3)),X0)
& sz00 != sK45(X0,X3)
& aInteger0(sK45(X0,X3)) )
| ~ aElementOf0(X3,X0) )
| ~ sP24(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK44,sK45])],[f229,f231,f230]) ).
fof(f230,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),X0)
| sz00 = X2
| ~ aInteger0(X2) )
& aElementOf0(X1,X0) )
=> ( ! [X2] :
( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sK44(X0),X2),X0)
| sz00 = X2
| ~ aInteger0(X2) )
& aElementOf0(sK44(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f231,plain,
! [X0,X3] :
( ? [X4] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X3,X4),X0)
& sz00 != X4
& aInteger0(X4) )
=> ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X3,sK45(X0,X3)),X0)
& sz00 != sK45(X0,X3)
& aInteger0(sK45(X0,X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f229,plain,
! [X0] :
( ( sP24(X0)
| ? [X1] :
( ! [X2] :
( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),X0)
| sz00 = X2
| ~ aInteger0(X2) )
& aElementOf0(X1,X0) ) )
& ( ! [X3] :
( ? [X4] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X3,X4),X0)
& sz00 != X4
& aInteger0(X4) )
| ~ aElementOf0(X3,X0) )
| ~ sP24(X0) ) ),
inference(rectify,[],[f228]) ).
fof(f228,plain,
! [X0] :
( ( sP24(X0)
| ? [X1] :
( ! [X2] :
( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),X0)
| sz00 = X2
| ~ aInteger0(X2) )
& aElementOf0(X1,X0) ) )
& ( ! [X1] :
( ? [X2] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),X0)
& sz00 != X2
& aInteger0(X2) )
| ~ aElementOf0(X1,X0) )
| ~ sP24(X0) ) ),
inference(nnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0] :
( sP24(X0)
<=> ! [X1] :
( ? [X2] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),X0)
& sz00 != X2
& aInteger0(X2) )
| ~ aElementOf0(X1,X0) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f1580,plain,
spl55_168,
inference(avatar_split_clause,[],[f399,f1578]) ).
fof(f399,plain,
! [X0] :
( aDivisorOf0(sK41(X0),X0)
| smndt0(sz10) = X0
| sz10 = X0
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f214]) ).
fof(f214,plain,
! [X0] :
( ( ( ( isPrime0(sK41(X0))
& aDivisorOf0(sK41(X0),X0) )
| smndt0(sz10) = X0
| sz10 = X0 )
& ( ( smndt0(sz10) != X0
& sz10 != X0 )
| ! [X2] :
( ~ isPrime0(X2)
| ~ aDivisorOf0(X2,X0) ) ) )
| ~ aInteger0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK41])],[f212,f213]) ).
fof(f213,plain,
! [X0] :
( ? [X1] :
( isPrime0(X1)
& aDivisorOf0(X1,X0) )
=> ( isPrime0(sK41(X0))
& aDivisorOf0(sK41(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f212,plain,
! [X0] :
( ( ( ? [X1] :
( isPrime0(X1)
& aDivisorOf0(X1,X0) )
| smndt0(sz10) = X0
| sz10 = X0 )
& ( ( smndt0(sz10) != X0
& sz10 != X0 )
| ! [X2] :
( ~ isPrime0(X2)
| ~ aDivisorOf0(X2,X0) ) ) )
| ~ aInteger0(X0) ),
inference(rectify,[],[f211]) ).
fof(f211,plain,
! [X0] :
( ( ( ? [X1] :
( isPrime0(X1)
& aDivisorOf0(X1,X0) )
| smndt0(sz10) = X0
| sz10 = X0 )
& ( ( smndt0(sz10) != X0
& sz10 != X0 )
| ! [X1] :
( ~ isPrime0(X1)
| ~ aDivisorOf0(X1,X0) ) ) )
| ~ aInteger0(X0) ),
inference(flattening,[],[f210]) ).
fof(f210,plain,
! [X0] :
( ( ( ? [X1] :
( isPrime0(X1)
& aDivisorOf0(X1,X0) )
| smndt0(sz10) = X0
| sz10 = X0 )
& ( ( smndt0(sz10) != X0
& sz10 != X0 )
| ! [X1] :
( ~ isPrime0(X1)
| ~ aDivisorOf0(X1,X0) ) ) )
| ~ aInteger0(X0) ),
inference(nnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0] :
( ( ? [X1] :
( isPrime0(X1)
& aDivisorOf0(X1,X0) )
<=> ( smndt0(sz10) != X0
& sz10 != X0 ) )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0] :
( aInteger0(X0)
=> ( ? [X1] :
( isPrime0(X1)
& aDivisorOf0(X1,X0) )
<=> ( smndt0(sz10) != X0
& sz10 != X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mPrimeDivisor) ).
fof(f1576,plain,
spl55_167,
inference(avatar_split_clause,[],[f355,f1574]) ).
fof(f355,plain,
! [X2,X0,X1] :
( sdteqdtlpzmzozddtrp0(X2,X1,X0)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ~ sP15(X0,X1,X2) ),
inference(cnf_transformation,[],[f202]) ).
fof(f1572,plain,
spl55_166,
inference(avatar_split_clause,[],[f353,f1570]) ).
fof(f353,plain,
! [X2,X0,X1] :
( sP14(X0,X1,X2)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ~ sP15(X0,X1,X2) ),
inference(cnf_transformation,[],[f202]) ).
fof(f1568,plain,
spl55_165,
inference(avatar_split_clause,[],[f339,f1566]) ).
fof(f339,plain,
! [X2,X0,X1] :
( sdteqdtlpzmzozddtrp0(X2,X1,X0)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ~ sP19(X0,X1,X2) ),
inference(cnf_transformation,[],[f190]) ).
fof(f1564,plain,
spl55_164,
inference(avatar_split_clause,[],[f337,f1562]) ).
fof(f337,plain,
! [X2,X0,X1] :
( sP18(X0,X1,X2)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ~ sP19(X0,X1,X2) ),
inference(cnf_transformation,[],[f190]) ).
fof(f1524,plain,
( spl55_163
| ~ spl55_27
| ~ spl55_100 ),
inference(avatar_split_clause,[],[f1200,f1071,f636,f1521]) ).
fof(f1521,plain,
( spl55_163
<=> sP23(sK34) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_163])]) ).
fof(f1200,plain,
( sP23(sK34)
| ~ spl55_27
| ~ spl55_100 ),
inference(resolution,[],[f1073,f637]) ).
fof(f1484,plain,
spl55_162,
inference(avatar_split_clause,[],[f507,f1482]) ).
fof(f507,plain,
! [X0,X1] :
( sP33(X1,X0,sdtbsmnsldt0(X0,X1))
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(equality_resolution,[],[f485]) ).
fof(f485,plain,
! [X2,X0,X1] :
( sP33(X1,X0,X2)
| sdtbsmnsldt0(X0,X1) != X2
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[],[f272]) ).
fof(f1480,plain,
spl55_161,
inference(avatar_split_clause,[],[f505,f1478]) ).
fof(f505,plain,
! [X0,X1] :
( sP32(X1,X0,sdtslmnbsdt0(X0,X1))
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(equality_resolution,[],[f474]) ).
fof(f474,plain,
! [X2,X0,X1] :
( sP32(X1,X0,X2)
| sdtslmnbsdt0(X0,X1) != X2
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[],[f265]) ).
fof(f1463,plain,
( ~ spl55_15
| ~ spl55_35
| spl55_114 ),
inference(avatar_split_clause,[],[f1140,f1128,f676,f578]) ).
fof(f1140,plain,
( ~ aInteger0(sz10)
| ~ spl55_35
| spl55_114 ),
inference(resolution,[],[f1130,f677]) ).
fof(f1130,plain,
( ~ aInteger0(smndt0(sz10))
| spl55_114 ),
inference(avatar_component_clause,[],[f1128]) ).
fof(f1462,plain,
spl55_160,
inference(avatar_split_clause,[],[f499,f1460]) ).
fof(f499,plain,
! [X2,X1] :
( sP22(sdtasdt0(X1,X2),X1)
| ~ aInteger0(X2)
| sz00 = X1
| ~ aInteger0(X1) ),
inference(equality_resolution,[],[f407]) ).
fof(f407,plain,
! [X2,X0,X1] :
( sP22(X0,X1)
| sdtasdt0(X1,X2) != X0
| ~ aInteger0(X2)
| sz00 = X1
| ~ aInteger0(X1) ),
inference(cnf_transformation,[],[f220]) ).
fof(f220,plain,
! [X0,X1] :
( ( sP22(X0,X1)
| ! [X2] :
( sdtasdt0(X1,X2) != X0
| ~ aInteger0(X2) )
| sz00 = X1
| ~ aInteger0(X1) )
& ( ( sdtasdt0(X1,sK42(X0,X1)) = X0
& aInteger0(sK42(X0,X1))
& sz00 != X1
& aInteger0(X1) )
| ~ sP22(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK42])],[f218,f219]) ).
fof(f219,plain,
! [X0,X1] :
( ? [X3] :
( sdtasdt0(X1,X3) = X0
& aInteger0(X3) )
=> ( sdtasdt0(X1,sK42(X0,X1)) = X0
& aInteger0(sK42(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f218,plain,
! [X0,X1] :
( ( sP22(X0,X1)
| ! [X2] :
( sdtasdt0(X1,X2) != X0
| ~ aInteger0(X2) )
| sz00 = X1
| ~ aInteger0(X1) )
& ( ( ? [X3] :
( sdtasdt0(X1,X3) = X0
& aInteger0(X3) )
& sz00 != X1
& aInteger0(X1) )
| ~ sP22(X0,X1) ) ),
inference(rectify,[],[f217]) ).
fof(f217,plain,
! [X0,X1] :
( ( sP22(X0,X1)
| ! [X2] :
( sdtasdt0(X1,X2) != X0
| ~ aInteger0(X2) )
| sz00 = X1
| ~ aInteger0(X1) )
& ( ( ? [X2] :
( sdtasdt0(X1,X2) = X0
& aInteger0(X2) )
& sz00 != X1
& aInteger0(X1) )
| ~ sP22(X0,X1) ) ),
inference(flattening,[],[f216]) ).
fof(f216,plain,
! [X0,X1] :
( ( sP22(X0,X1)
| ! [X2] :
( sdtasdt0(X1,X2) != X0
| ~ aInteger0(X2) )
| sz00 = X1
| ~ aInteger0(X1) )
& ( ( ? [X2] :
( sdtasdt0(X1,X2) = X0
& aInteger0(X2) )
& sz00 != X1
& aInteger0(X1) )
| ~ sP22(X0,X1) ) ),
inference(nnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0,X1] :
( sP22(X0,X1)
<=> ( ? [X2] :
( sdtasdt0(X1,X2) = X0
& aInteger0(X2) )
& sz00 != X1
& aInteger0(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f1458,plain,
spl55_159,
inference(avatar_split_clause,[],[f479,f1456]) ).
fof(f479,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElementOf0(X4,X0)
| ~ aInteger0(X4)
| ~ sP33(X0,X1,X2) ),
inference(cnf_transformation,[],[f270]) ).
fof(f1454,plain,
spl55_158,
inference(avatar_split_clause,[],[f478,f1452]) ).
fof(f478,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElementOf0(X4,X1)
| ~ aInteger0(X4)
| ~ sP33(X0,X1,X2) ),
inference(cnf_transformation,[],[f270]) ).
fof(f1450,plain,
spl55_157,
inference(avatar_split_clause,[],[f450,f1448]) ).
fof(f1448,plain,
( spl55_157
<=> ! [X2,X0,X1] :
( szAzrzSzezqlpdtcmdtrp0(X0,X1) = X2
| ~ sP30(X1,X0,X2)
| ~ sP31(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_157])]) ).
fof(f450,plain,
! [X2,X0,X1] :
( szAzrzSzezqlpdtcmdtrp0(X0,X1) = X2
| ~ sP30(X1,X0,X2)
| ~ sP31(X0,X1) ),
inference(cnf_transformation,[],[f253]) ).
fof(f253,plain,
! [X0,X1] :
( ! [X2] :
( ( szAzrzSzezqlpdtcmdtrp0(X0,X1) = X2
| ~ sP30(X1,X0,X2) )
& ( sP30(X1,X0,X2)
| szAzrzSzezqlpdtcmdtrp0(X0,X1) != X2 ) )
| ~ sP31(X0,X1) ),
inference(nnf_transformation,[],[f141]) ).
fof(f141,plain,
! [X0,X1] :
( ! [X2] :
( szAzrzSzezqlpdtcmdtrp0(X0,X1) = X2
<=> sP30(X1,X0,X2) )
| ~ sP31(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f1446,plain,
spl55_156,
inference(avatar_split_clause,[],[f447,f1444]) ).
fof(f1444,plain,
( spl55_156
<=> ! [X0] :
( isOpen0(sbsmnsldt0(X0))
| ~ isOpen0(sK51(X0))
| ~ aSubsetOf0(sK51(X0),cS1395)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_156])]) ).
fof(f447,plain,
! [X0] :
( isOpen0(sbsmnsldt0(X0))
| ~ isOpen0(sK51(X0))
| ~ aSubsetOf0(sK51(X0),cS1395)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f252]) ).
fof(f252,plain,
! [X0] :
( isOpen0(sbsmnsldt0(X0))
| ( ( ~ isOpen0(sK51(X0))
| ~ aSubsetOf0(sK51(X0),cS1395) )
& aElementOf0(sK51(X0),X0) )
| ~ aSet0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK51])],[f69,f251]) ).
fof(f251,plain,
! [X0] :
( ? [X1] :
( ( ~ isOpen0(X1)
| ~ aSubsetOf0(X1,cS1395) )
& aElementOf0(X1,X0) )
=> ( ( ~ isOpen0(sK51(X0))
| ~ aSubsetOf0(sK51(X0),cS1395) )
& aElementOf0(sK51(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f69,plain,
! [X0] :
( isOpen0(sbsmnsldt0(X0))
| ? [X1] :
( ( ~ isOpen0(X1)
| ~ aSubsetOf0(X1,cS1395) )
& aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(flattening,[],[f68]) ).
fof(f68,plain,
! [X0] :
( isOpen0(sbsmnsldt0(X0))
| ? [X1] :
( ( ~ isOpen0(X1)
| ~ aSubsetOf0(X1,cS1395) )
& aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] :
( ( ! [X1] :
( aElementOf0(X1,X0)
=> ( isOpen0(X1)
& aSubsetOf0(X1,cS1395) ) )
& aSet0(X0) )
=> isOpen0(sbsmnsldt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mUnionOpen) ).
fof(f1442,plain,
spl55_155,
inference(avatar_split_clause,[],[f440,f1440]) ).
fof(f440,plain,
! [X0,X1] :
( sP28(X0,X1)
| aInteger0(sK47(X0,X1))
| aElementOf0(sK47(X0,X1),X1) ),
inference(cnf_transformation,[],[f248]) ).
fof(f1438,plain,
spl55_154,
inference(avatar_split_clause,[],[f419,f1436]) ).
fof(f419,plain,
! [X3,X0] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X3,sK45(X0,X3)),X0)
| ~ aElementOf0(X3,X0)
| ~ sP24(X0) ),
inference(cnf_transformation,[],[f232]) ).
fof(f1434,plain,
spl55_153,
inference(avatar_split_clause,[],[f412,f1432]) ).
fof(f412,plain,
! [X0,X1] :
( aSubsetOf0(X1,X0)
| ~ aElementOf0(sK43(X0,X1),X0)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f225]) ).
fof(f225,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ( ~ aElementOf0(sK43(X0,X1),X0)
& aElementOf0(sK43(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,[sK43])],[f223,f224]) ).
fof(f224,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK43(X0,X1),X0)
& aElementOf0(sK43(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f223,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,[],[f222]) ).
fof(f222,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,[],[f221]) ).
fof(f221,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,[],[f62]) ).
fof(f62,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubset) ).
fof(f1430,plain,
spl55_152,
inference(avatar_split_clause,[],[f411,f1428]) ).
fof(f411,plain,
! [X0,X1] :
( aSubsetOf0(X1,X0)
| aElementOf0(sK43(X0,X1),X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f225]) ).
fof(f1426,plain,
spl55_151,
inference(avatar_split_clause,[],[f400,f1424]) ).
fof(f1424,plain,
( spl55_151
<=> ! [X0] :
( isPrime0(sK41(X0))
| smndt0(sz10) = X0
| sz10 = X0
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_151])]) ).
fof(f400,plain,
! [X0] :
( isPrime0(sK41(X0))
| smndt0(sz10) = X0
| sz10 = X0
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f214]) ).
fof(f1422,plain,
spl55_150,
inference(avatar_split_clause,[],[f346,f1420]) ).
fof(f346,plain,
! [X2,X0] :
( aElementOf0(X2,stldt0(xA))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,sK39(X0)))
| ~ sP17(X0) ),
inference(cnf_transformation,[],[f198]) ).
fof(f198,plain,
! [X0] :
( ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,sK39(X0)),stldt0(xA))
& ! [X2] :
( aElementOf0(X2,stldt0(xA))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,sK39(X0))) )
& sP16(sK39(X0),X0)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,sK39(X0)))
& sz00 != sK39(X0)
& aInteger0(sK39(X0)) )
| ~ sP17(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK39])],[f196,f197]) ).
fof(f197,plain,
! [X0] :
( ? [X1] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(xA))
& ! [X2] :
( aElementOf0(X2,stldt0(xA))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
& sP16(X1,X0)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& sz00 != X1
& aInteger0(X1) )
=> ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,sK39(X0)),stldt0(xA))
& ! [X2] :
( aElementOf0(X2,stldt0(xA))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,sK39(X0))) )
& sP16(sK39(X0),X0)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,sK39(X0)))
& sz00 != sK39(X0)
& aInteger0(sK39(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f196,plain,
! [X0] :
( ? [X1] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(xA))
& ! [X2] :
( aElementOf0(X2,stldt0(xA))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
& sP16(X1,X0)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& sz00 != X1
& aInteger0(X1) )
| ~ sP17(X0) ),
inference(rectify,[],[f195]) ).
fof(f195,plain,
! [X7] :
( ? [X8] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X7,X8),stldt0(xA))
& ! [X9] :
( aElementOf0(X9,stldt0(xA))
| ~ aElementOf0(X9,szAzrzSzezqlpdtcmdtrp0(X7,X8)) )
& sP16(X8,X7)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X7,X8))
& sz00 != X8
& aInteger0(X8) )
| ~ sP17(X7) ),
inference(nnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X7] :
( ? [X8] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X7,X8),stldt0(xA))
& ! [X9] :
( aElementOf0(X9,stldt0(xA))
| ~ aElementOf0(X9,szAzrzSzezqlpdtcmdtrp0(X7,X8)) )
& sP16(X8,X7)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X7,X8))
& sz00 != X8
& aInteger0(X8) )
| ~ sP17(X7) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f1418,plain,
spl55_149,
inference(avatar_split_clause,[],[f330,f1416]) ).
fof(f330,plain,
! [X2,X0] :
( aElementOf0(X2,stldt0(xB))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,sK37(X0)))
| ~ sP21(X0) ),
inference(cnf_transformation,[],[f186]) ).
fof(f186,plain,
! [X0] :
( ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,sK37(X0)),stldt0(xB))
& ! [X2] :
( aElementOf0(X2,stldt0(xB))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,sK37(X0))) )
& sP20(sK37(X0),X0)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,sK37(X0)))
& sz00 != sK37(X0)
& aInteger0(sK37(X0)) )
| ~ sP21(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK37])],[f184,f185]) ).
fof(f185,plain,
! [X0] :
( ? [X1] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(xB))
& ! [X2] :
( aElementOf0(X2,stldt0(xB))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
& sP20(X1,X0)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& sz00 != X1
& aInteger0(X1) )
=> ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,sK37(X0)),stldt0(xB))
& ! [X2] :
( aElementOf0(X2,stldt0(xB))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,sK37(X0))) )
& sP20(sK37(X0),X0)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,sK37(X0)))
& sz00 != sK37(X0)
& aInteger0(sK37(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f184,plain,
! [X0] :
( ? [X1] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(xB))
& ! [X2] :
( aElementOf0(X2,stldt0(xB))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
& sP20(X1,X0)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& sz00 != X1
& aInteger0(X1) )
| ~ sP21(X0) ),
inference(nnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0] :
( ? [X1] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(xB))
& ! [X2] :
( aElementOf0(X2,stldt0(xB))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
& sP20(X1,X0)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& sz00 != X1
& aInteger0(X1) )
| ~ sP21(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f1409,plain,
( ~ spl55_13
| spl55_148 ),
inference(avatar_split_clause,[],[f308,f1407,f568]) ).
fof(f568,plain,
( spl55_13
<=> sP6 ),
introduced(avatar_definition,[new_symbols(naming,[spl55_13])]) ).
fof(f308,plain,
! [X0] :
( aElementOf0(X0,xB)
| aElementOf0(X0,xA)
| ~ aElementOf0(X0,sdtbsmnsldt0(xA,xB))
| ~ sP6 ),
inference(cnf_transformation,[],[f165]) ).
fof(f165,plain,
( ! [X0] :
( ( aElementOf0(X0,sdtbsmnsldt0(xA,xB))
| ( ~ aElementOf0(X0,xB)
& ~ aElementOf0(X0,xA) )
| ~ aInteger0(X0) )
& ( ( ( aElementOf0(X0,xB)
| aElementOf0(X0,xA) )
& aInteger0(X0) )
| ~ aElementOf0(X0,sdtbsmnsldt0(xA,xB)) ) )
| ~ sP6 ),
inference(flattening,[],[f164]) ).
fof(f164,plain,
( ! [X0] :
( ( aElementOf0(X0,sdtbsmnsldt0(xA,xB))
| ( ~ aElementOf0(X0,xB)
& ~ aElementOf0(X0,xA) )
| ~ aInteger0(X0) )
& ( ( ( aElementOf0(X0,xB)
| aElementOf0(X0,xA) )
& aInteger0(X0) )
| ~ aElementOf0(X0,sdtbsmnsldt0(xA,xB)) ) )
| ~ sP6 ),
inference(nnf_transformation,[],[f110]) ).
fof(f110,plain,
( ! [X0] :
( aElementOf0(X0,sdtbsmnsldt0(xA,xB))
<=> ( ( aElementOf0(X0,xB)
| aElementOf0(X0,xA) )
& aInteger0(X0) ) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f1402,plain,
( ~ spl55_14
| spl55_147 ),
inference(avatar_split_clause,[],[f301,f1400,f573]) ).
fof(f301,plain,
! [X0] :
( ~ aElementOf0(X0,sdtbsmnsldt0(xA,xB))
| ~ aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ sP8 ),
inference(cnf_transformation,[],[f158]) ).
fof(f1358,plain,
spl55_146,
inference(avatar_split_clause,[],[f462,f1356]) ).
fof(f462,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0,X1] :
( ( aInteger0(X1)
& aInteger0(X0) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).
fof(f1354,plain,
spl55_145,
inference(avatar_split_clause,[],[f461,f1352]) ).
fof(f461,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f78]) ).
fof(f78,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] :
( ( aInteger0(X1)
& aInteger0(X0) )
=> sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddComm) ).
fof(f1350,plain,
spl55_144,
inference(avatar_split_clause,[],[f453,f1348]) ).
fof(f453,plain,
! [X2,X0,X1,X4] :
( sdteqdtlpzmzozddtrp0(X4,X1,X0)
| ~ aElementOf0(X4,X2)
| ~ sP30(X0,X1,X2) ),
inference(cnf_transformation,[],[f258]) ).
fof(f1346,plain,
( spl55_143
| ~ spl55_47
| ~ spl55_131 ),
inference(avatar_split_clause,[],[f1293,f1288,f732,f1343]) ).
fof(f1293,plain,
( sP21(sK34)
| ~ spl55_47
| ~ spl55_131 ),
inference(resolution,[],[f1290,f733]) ).
fof(f1341,plain,
spl55_142,
inference(avatar_split_clause,[],[f448,f1339]) ).
fof(f1339,plain,
( spl55_142
<=> ! [X0,X1] :
( sdteqdtlpzmzozddtrp0(X0,X0,X1)
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_142])]) ).
fof(f448,plain,
! [X0,X1] :
( sdteqdtlpzmzozddtrp0(X0,X0,X1)
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0,X1] :
( sdteqdtlpzmzozddtrp0(X0,X0,X1)
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f70]) ).
fof(f70,plain,
! [X0,X1] :
( sdteqdtlpzmzozddtrp0(X0,X0,X1)
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0,X1] :
( ( sz00 != X1
& aInteger0(X1)
& aInteger0(X0) )
=> sdteqdtlpzmzozddtrp0(X0,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEquModRef) ).
fof(f1337,plain,
spl55_141,
inference(avatar_split_clause,[],[f438,f1335]) ).
fof(f438,plain,
! [X0,X1,X5] :
( aElementOf0(X5,sK49(X0,X5))
| ~ aElementOf0(X5,X1)
| ~ sP28(X0,X1) ),
inference(cnf_transformation,[],[f248]) ).
fof(f1333,plain,
spl55_140,
inference(avatar_split_clause,[],[f437,f1331]) ).
fof(f437,plain,
! [X0,X1,X5] :
( aElementOf0(sK49(X0,X5),X0)
| ~ aElementOf0(X5,X1)
| ~ sP28(X0,X1) ),
inference(cnf_transformation,[],[f248]) ).
fof(f1329,plain,
spl55_139,
inference(avatar_split_clause,[],[f435,f1327]) ).
fof(f1327,plain,
( spl55_139
<=> ! [X0,X1] :
( sbsmnsldt0(X0) = X1
| ~ sP28(X0,X1)
| ~ aSet0(X1)
| ~ sP29(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_139])]) ).
fof(f435,plain,
! [X0,X1] :
( sbsmnsldt0(X0) = X1
| ~ sP28(X0,X1)
| ~ aSet0(X1)
| ~ sP29(X0) ),
inference(cnf_transformation,[],[f241]) ).
fof(f241,plain,
! [X0] :
( ! [X1] :
( ( sbsmnsldt0(X0) = X1
| ~ sP28(X0,X1)
| ~ aSet0(X1) )
& ( ( sP28(X0,X1)
& aSet0(X1) )
| sbsmnsldt0(X0) != X1 ) )
| ~ sP29(X0) ),
inference(rectify,[],[f240]) ).
fof(f240,plain,
! [X0] :
( ! [X2] :
( ( sbsmnsldt0(X0) = X2
| ~ sP28(X0,X2)
| ~ aSet0(X2) )
& ( ( sP28(X0,X2)
& aSet0(X2) )
| sbsmnsldt0(X0) != X2 ) )
| ~ sP29(X0) ),
inference(flattening,[],[f239]) ).
fof(f239,plain,
! [X0] :
( ! [X2] :
( ( sbsmnsldt0(X0) = X2
| ~ sP28(X0,X2)
| ~ aSet0(X2) )
& ( ( sP28(X0,X2)
& aSet0(X2) )
| sbsmnsldt0(X0) != X2 ) )
| ~ sP29(X0) ),
inference(nnf_transformation,[],[f138]) ).
fof(f138,plain,
! [X0] :
( ! [X2] :
( sbsmnsldt0(X0) = X2
<=> ( sP28(X0,X2)
& aSet0(X2) ) )
| ~ sP29(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f1325,plain,
spl55_138,
inference(avatar_split_clause,[],[f428,f1323]) ).
fof(f428,plain,
! [X3,X0,X1] :
( aElementOf0(X3,X1)
| aElementOf0(X3,X0)
| ~ aInteger0(X3)
| ~ sP26(X0,X1) ),
inference(cnf_transformation,[],[f238]) ).
fof(f1321,plain,
spl55_137,
inference(avatar_split_clause,[],[f410,f1319]) ).
fof(f410,plain,
! [X3,X0,X1] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f225]) ).
fof(f1317,plain,
spl55_136,
inference(avatar_split_clause,[],[f352,f1315]) ).
fof(f352,plain,
! [X2,X0,X1] :
( aInteger0(X2)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ~ sP15(X0,X1,X2) ),
inference(cnf_transformation,[],[f202]) ).
fof(f1313,plain,
spl55_135,
inference(avatar_split_clause,[],[f336,f1311]) ).
fof(f336,plain,
! [X2,X0,X1] :
( aInteger0(X2)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ~ sP19(X0,X1,X2) ),
inference(cnf_transformation,[],[f190]) ).
fof(f1308,plain,
( ~ spl55_13
| spl55_134 ),
inference(avatar_split_clause,[],[f310,f1306,f568]) ).
fof(f310,plain,
! [X0] :
( aElementOf0(X0,sdtbsmnsldt0(xA,xB))
| ~ aElementOf0(X0,xB)
| ~ aInteger0(X0)
| ~ sP6 ),
inference(cnf_transformation,[],[f165]) ).
fof(f1304,plain,
( spl55_133
| ~ spl55_45
| ~ spl55_130 ),
inference(avatar_split_clause,[],[f1285,f1280,f724,f1301]) ).
fof(f1285,plain,
( sP17(sK34)
| ~ spl55_45
| ~ spl55_130 ),
inference(resolution,[],[f1282,f725]) ).
fof(f1298,plain,
( ~ spl55_13
| spl55_132 ),
inference(avatar_split_clause,[],[f309,f1296,f568]) ).
fof(f309,plain,
! [X0] :
( aElementOf0(X0,sdtbsmnsldt0(xA,xB))
| ~ aElementOf0(X0,xA)
| ~ aInteger0(X0)
| ~ sP6 ),
inference(cnf_transformation,[],[f165]) ).
fof(f1291,plain,
( ~ spl55_98
| spl55_99
| spl55_131 ),
inference(avatar_split_clause,[],[f305,f1288,f1067,f1063]) ).
fof(f305,plain,
( aElementOf0(sK34,stldt0(xB))
| aElementOf0(sK34,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ sP7 ),
inference(cnf_transformation,[],[f163]) ).
fof(f1283,plain,
( ~ spl55_98
| spl55_99
| spl55_130 ),
inference(avatar_split_clause,[],[f304,f1280,f1067,f1063]) ).
fof(f304,plain,
( aElementOf0(sK34,stldt0(xA))
| aElementOf0(sK34,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ sP7 ),
inference(cnf_transformation,[],[f163]) ).
fof(f1278,plain,
( ~ spl55_3
| ~ spl55_129 ),
inference(avatar_split_clause,[],[f281,f1275,f518]) ).
fof(f518,plain,
( spl55_3
<=> sP13 ),
introduced(avatar_definition,[new_symbols(naming,[spl55_3])]) ).
fof(f1275,plain,
( spl55_129
<=> stldt0(sdtbsmnsldt0(xA,xB)) = sdtslmnbsdt0(stldt0(xA),stldt0(xB)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_129])]) ).
fof(f281,plain,
( stldt0(sdtbsmnsldt0(xA,xB)) != sdtslmnbsdt0(stldt0(xA),stldt0(xB))
| ~ sP13 ),
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
( ( stldt0(sdtbsmnsldt0(xA,xB)) != sdtslmnbsdt0(stldt0(xA),stldt0(xB))
& sP7
& sP10
& sP9
& sP8
& aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
& sP6
& aSet0(sdtbsmnsldt0(xA,xB)) )
| ~ sP13 ),
inference(nnf_transformation,[],[f117]) ).
fof(f117,plain,
( ( stldt0(sdtbsmnsldt0(xA,xB)) != sdtslmnbsdt0(stldt0(xA),stldt0(xB))
& sP7
& sP10
& sP9
& sP8
& aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
& sP6
& aSet0(sdtbsmnsldt0(xA,xB)) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f1273,plain,
( spl55_128
| ~ spl55_16
| ~ spl55_27 ),
inference(avatar_split_clause,[],[f640,f636,f583,f1270]) ).
fof(f1270,plain,
( spl55_128
<=> sP23(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_128])]) ).
fof(f640,plain,
( sP23(sz00)
| ~ spl55_16
| ~ spl55_27 ),
inference(resolution,[],[f637,f585]) ).
fof(f1268,plain,
spl55_127,
inference(avatar_split_clause,[],[f508,f1266]) ).
fof(f1266,plain,
( spl55_127
<=> ! [X0,X1] :
( aSet0(sdtbsmnsldt0(X0,X1))
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_127])]) ).
fof(f508,plain,
! [X0,X1] :
( aSet0(sdtbsmnsldt0(X0,X1))
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(equality_resolution,[],[f484]) ).
fof(f484,plain,
! [X2,X0,X1] :
( aSet0(X2)
| sdtbsmnsldt0(X0,X1) != X2
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[],[f272]) ).
fof(f1264,plain,
spl55_126,
inference(avatar_split_clause,[],[f506,f1262]) ).
fof(f1262,plain,
( spl55_126
<=> ! [X0,X1] :
( aSet0(sdtslmnbsdt0(X0,X1))
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_126])]) ).
fof(f506,plain,
! [X0,X1] :
( aSet0(sdtslmnbsdt0(X0,X1))
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(equality_resolution,[],[f473]) ).
fof(f473,plain,
! [X2,X0,X1] :
( aSet0(X2)
| sdtslmnbsdt0(X0,X1) != X2
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[],[f265]) ).
fof(f1260,plain,
spl55_125,
inference(avatar_split_clause,[],[f467,f1258]) ).
fof(f467,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X0)
| ~ aElementOf0(X4,X2)
| ~ sP32(X0,X1,X2) ),
inference(cnf_transformation,[],[f263]) ).
fof(f1256,plain,
spl55_124,
inference(avatar_split_clause,[],[f466,f1254]) ).
fof(f466,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ sP32(X0,X1,X2) ),
inference(cnf_transformation,[],[f263]) ).
fof(f1252,plain,
spl55_123,
inference(avatar_split_clause,[],[f458,f1250]) ).
fof(f1250,plain,
( spl55_123
<=> ! [X0,X1] :
( sP31(X0,X1)
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_123])]) ).
fof(f458,plain,
! [X0,X1] :
( sP31(X0,X1)
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
! [X0,X1] :
( sP31(X0,X1)
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(definition_folding,[],[f73,f141,f140]) ).
fof(f73,plain,
! [X0,X1] :
( ! [X2] :
( szAzrzSzezqlpdtcmdtrp0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sdteqdtlpzmzozddtrp0(X3,X0,X1)
& aInteger0(X3) ) )
& aSet0(X2) ) )
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f72]) ).
fof(f72,plain,
! [X0,X1] :
( ! [X2] :
( szAzrzSzezqlpdtcmdtrp0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sdteqdtlpzmzozddtrp0(X3,X0,X1)
& aInteger0(X3) ) )
& aSet0(X2) ) )
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0,X1] :
( ( sz00 != X1
& aInteger0(X1)
& aInteger0(X0) )
=> ! [X2] :
( szAzrzSzezqlpdtcmdtrp0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sdteqdtlpzmzozddtrp0(X3,X0,X1)
& aInteger0(X3) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mArSeq) ).
fof(f1248,plain,
( spl55_122
| ~ spl55_15
| ~ spl55_27 ),
inference(avatar_split_clause,[],[f639,f636,f578,f1245]) ).
fof(f1245,plain,
( spl55_122
<=> sP23(sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_122])]) ).
fof(f639,plain,
( sP23(sz10)
| ~ spl55_15
| ~ spl55_27 ),
inference(resolution,[],[f637,f580]) ).
fof(f1243,plain,
spl55_121,
inference(avatar_split_clause,[],[f418,f1241]) ).
fof(f1241,plain,
( spl55_121
<=> ! [X0,X3] :
( sz00 != sK45(X0,X3)
| ~ aElementOf0(X3,X0)
| ~ sP24(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_121])]) ).
fof(f418,plain,
! [X3,X0] :
( sz00 != sK45(X0,X3)
| ~ aElementOf0(X3,X0)
| ~ sP24(X0) ),
inference(cnf_transformation,[],[f232]) ).
fof(f1239,plain,
spl55_120,
inference(avatar_split_clause,[],[f406,f1237]) ).
fof(f406,plain,
! [X0,X1] :
( sdtasdt0(X1,sK42(X0,X1)) = X0
| ~ sP22(X0,X1) ),
inference(cnf_transformation,[],[f220]) ).
fof(f1221,plain,
( ~ spl55_3
| spl55_119 ),
inference(avatar_split_clause,[],[f276,f1218,f518]) ).
fof(f276,plain,
( aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
| ~ sP13 ),
inference(cnf_transformation,[],[f147]) ).
fof(f1216,plain,
( ~ spl55_3
| spl55_118 ),
inference(avatar_split_clause,[],[f274,f1213,f518]) ).
fof(f274,plain,
( aSet0(sdtbsmnsldt0(xA,xB))
| ~ sP13 ),
inference(cnf_transformation,[],[f147]) ).
fof(f1199,plain,
( ~ spl55_3
| spl55_98 ),
inference(avatar_split_clause,[],[f280,f1063,f518]) ).
fof(f280,plain,
( sP7
| ~ sP13 ),
inference(cnf_transformation,[],[f147]) ).
fof(f1198,plain,
( spl55_41
| ~ spl55_44
| ~ spl55_81 ),
inference(avatar_split_clause,[],[f937,f931,f720,f700]) ).
fof(f700,plain,
( spl55_41
<=> aInteger0(sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_41])]) ).
fof(f931,plain,
( spl55_81
<=> aElementOf0(sK36,stldt0(xA)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_81])]) ).
fof(f937,plain,
( aInteger0(sK36)
| ~ spl55_44
| ~ spl55_81 ),
inference(resolution,[],[f933,f721]) ).
fof(f933,plain,
( aElementOf0(sK36,stldt0(xA))
| ~ spl55_81 ),
inference(avatar_component_clause,[],[f931]) ).
fof(f1144,plain,
spl55_117,
inference(avatar_split_clause,[],[f504,f1142]) ).
fof(f504,plain,
! [X0,X1] :
( sP30(X1,X0,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| ~ sP31(X0,X1) ),
inference(equality_resolution,[],[f449]) ).
fof(f449,plain,
! [X2,X0,X1] :
( sP30(X1,X0,X2)
| szAzrzSzezqlpdtcmdtrp0(X0,X1) != X2
| ~ sP31(X0,X1) ),
inference(cnf_transformation,[],[f253]) ).
fof(f1139,plain,
( spl55_116
| ~ spl55_45
| ~ spl55_81 ),
inference(avatar_split_clause,[],[f936,f931,f724,f1136]) ).
fof(f936,plain,
( sP17(sK36)
| ~ spl55_45
| ~ spl55_81 ),
inference(resolution,[],[f933,f725]) ).
fof(f1134,plain,
( ~ spl55_114
| spl55_115 ),
inference(avatar_split_clause,[],[f497,f1132,f1128]) ).
fof(f1132,plain,
( spl55_115
<=> ! [X2] :
( ~ isPrime0(X2)
| ~ aDivisorOf0(X2,smndt0(sz10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_115])]) ).
fof(f497,plain,
! [X2] :
( ~ isPrime0(X2)
| ~ aDivisorOf0(X2,smndt0(sz10))
| ~ aInteger0(smndt0(sz10)) ),
inference(equality_resolution,[],[f398]) ).
fof(f398,plain,
! [X2,X0] :
( smndt0(sz10) != X0
| ~ isPrime0(X2)
| ~ aDivisorOf0(X2,X0)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f214]) ).
fof(f1126,plain,
spl55_113,
inference(avatar_split_clause,[],[f476,f1124]) ).
fof(f476,plain,
! [X2,X0,X1,X4] :
( aInteger0(X4)
| ~ aElementOf0(X4,X2)
| ~ sP33(X0,X1,X2) ),
inference(cnf_transformation,[],[f270]) ).
fof(f1122,plain,
spl55_112,
inference(avatar_split_clause,[],[f465,f1120]) ).
fof(f465,plain,
! [X2,X0,X1,X4] :
( aInteger0(X4)
| ~ aElementOf0(X4,X2)
| ~ sP32(X0,X1,X2) ),
inference(cnf_transformation,[],[f263]) ).
fof(f1118,plain,
spl55_111,
inference(avatar_split_clause,[],[f452,f1116]) ).
fof(f452,plain,
! [X2,X0,X1,X4] :
( aInteger0(X4)
| ~ aElementOf0(X4,X2)
| ~ sP30(X0,X1,X2) ),
inference(cnf_transformation,[],[f258]) ).
fof(f1114,plain,
spl55_110,
inference(avatar_split_clause,[],[f446,f1112]) ).
fof(f446,plain,
! [X0] :
( isOpen0(sbsmnsldt0(X0))
| aElementOf0(sK51(X0),X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f252]) ).
fof(f1110,plain,
spl55_109,
inference(avatar_split_clause,[],[f427,f1108]) ).
fof(f427,plain,
! [X3,X0,X1] :
( ~ aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ sP26(X0,X1) ),
inference(cnf_transformation,[],[f238]) ).
fof(f1106,plain,
spl55_108,
inference(avatar_split_clause,[],[f424,f1104]) ).
fof(f1104,plain,
( spl55_108
<=> ! [X0,X1] :
( stldt0(X0) = X1
| ~ sP26(X0,X1)
| ~ sP27(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_108])]) ).
fof(f424,plain,
! [X0,X1] :
( stldt0(X0) = X1
| ~ sP26(X0,X1)
| ~ sP27(X0) ),
inference(cnf_transformation,[],[f233]) ).
fof(f233,plain,
! [X0] :
( ! [X1] :
( ( stldt0(X0) = X1
| ~ sP26(X0,X1) )
& ( sP26(X0,X1)
| stldt0(X0) != X1 ) )
| ~ sP27(X0) ),
inference(nnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0] :
( ! [X1] :
( stldt0(X0) = X1
<=> sP26(X0,X1) )
| ~ sP27(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f1102,plain,
spl55_107,
inference(avatar_split_clause,[],[f417,f1100]) ).
fof(f417,plain,
! [X3,X0] :
( aInteger0(sK45(X0,X3))
| ~ aElementOf0(X3,X0)
| ~ sP24(X0) ),
inference(cnf_transformation,[],[f232]) ).
fof(f1098,plain,
spl55_106,
inference(avatar_split_clause,[],[f396,f1096]) ).
fof(f396,plain,
! [X0] :
( smndt0(X0) = sdtasdt0(X0,smndt0(sz10))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0] :
( ( smndt0(X0) = sdtasdt0(X0,smndt0(sz10))
& smndt0(X0) = sdtasdt0(smndt0(sz10),X0) )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] :
( aInteger0(X0)
=> ( smndt0(X0) = sdtasdt0(X0,smndt0(sz10))
& smndt0(X0) = sdtasdt0(smndt0(sz10),X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulMinOne) ).
fof(f1094,plain,
spl55_105,
inference(avatar_split_clause,[],[f395,f1092]) ).
fof(f395,plain,
! [X0] :
( smndt0(X0) = sdtasdt0(smndt0(sz10),X0)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f1090,plain,
spl55_104,
inference(avatar_split_clause,[],[f356,f1088]) ).
fof(f356,plain,
! [X2,X0,X1] :
( aInteger0(sK40(X0,X1,X2))
| ~ sP14(X0,X1,X2) ),
inference(cnf_transformation,[],[f206]) ).
fof(f1086,plain,
spl55_103,
inference(avatar_split_clause,[],[f347,f1084]) ).
fof(f1084,plain,
( spl55_103
<=> ! [X0] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,sK39(X0)),stldt0(xA))
| ~ sP17(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_103])]) ).
fof(f347,plain,
! [X0] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,sK39(X0)),stldt0(xA))
| ~ sP17(X0) ),
inference(cnf_transformation,[],[f198]) ).
fof(f1082,plain,
spl55_102,
inference(avatar_split_clause,[],[f340,f1080]) ).
fof(f340,plain,
! [X2,X0,X1] :
( aInteger0(sK38(X0,X1,X2))
| ~ sP18(X0,X1,X2) ),
inference(cnf_transformation,[],[f194]) ).
fof(f1078,plain,
spl55_101,
inference(avatar_split_clause,[],[f331,f1076]) ).
fof(f1076,plain,
( spl55_101
<=> ! [X0] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,sK37(X0)),stldt0(xB))
| ~ sP21(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_101])]) ).
fof(f331,plain,
! [X0] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,sK37(X0)),stldt0(xB))
| ~ sP21(X0) ),
inference(cnf_transformation,[],[f186]) ).
fof(f1074,plain,
( ~ spl55_98
| spl55_99
| spl55_100 ),
inference(avatar_split_clause,[],[f303,f1071,f1067,f1063]) ).
fof(f303,plain,
( aInteger0(sK34)
| aElementOf0(sK34,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ sP7 ),
inference(cnf_transformation,[],[f163]) ).
fof(f1059,plain,
( ~ spl55_14
| spl55_97 ),
inference(avatar_split_clause,[],[f300,f1057,f573]) ).
fof(f300,plain,
! [X0] :
( aInteger0(X0)
| ~ aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ sP8 ),
inference(cnf_transformation,[],[f158]) ).
fof(f1048,plain,
spl55_96,
inference(avatar_split_clause,[],[f380,f1046]) ).
fof(f380,plain,
! [X1] :
( aElementOf0(X1,stldt0(xB))
| aElementOf0(X1,xB)
| ~ aInteger0(X1) ),
inference(cnf_transformation,[],[f209]) ).
fof(f209,plain,
( isClosed0(xB)
& isOpen0(stldt0(xB))
& ! [X0] :
( sP21(X0)
| ~ aElementOf0(X0,stldt0(xB)) )
& ! [X1] :
( ( aElementOf0(X1,stldt0(xB))
| aElementOf0(X1,xB)
| ~ aInteger0(X1) )
& ( ( ~ aElementOf0(X1,xB)
& aInteger0(X1) )
| ~ aElementOf0(X1,stldt0(xB)) ) )
& aSet0(stldt0(xB))
& isClosed0(xA)
& isOpen0(stldt0(xA))
& ! [X2] :
( sP17(X2)
| ~ aElementOf0(X2,stldt0(xA)) )
& ! [X3] :
( ( aElementOf0(X3,stldt0(xA))
| aElementOf0(X3,xA)
| ~ aInteger0(X3) )
& ( ( ~ aElementOf0(X3,xA)
& aInteger0(X3) )
| ~ aElementOf0(X3,stldt0(xA)) ) )
& aSet0(stldt0(xA))
& aSubsetOf0(xB,cS1395)
& ! [X4] :
( aElementOf0(X4,cS1395)
| ~ aElementOf0(X4,xB) )
& aSet0(xB)
& ! [X5] :
( ( aElementOf0(X5,cS1395)
| ~ aInteger0(X5) )
& ( aInteger0(X5)
| ~ aElementOf0(X5,cS1395) ) )
& aSet0(cS1395)
& aSubsetOf0(xA,cS1395)
& ! [X6] :
( aElementOf0(X6,cS1395)
| ~ aElementOf0(X6,xA) )
& aSet0(xA)
& ! [X7] :
( ( aElementOf0(X7,cS1395)
| ~ aInteger0(X7) )
& ( aInteger0(X7)
| ~ aElementOf0(X7,cS1395) ) )
& aSet0(cS1395) ),
inference(rectify,[],[f208]) ).
fof(f208,plain,
( isClosed0(xB)
& isOpen0(stldt0(xB))
& ! [X0] :
( sP21(X0)
| ~ aElementOf0(X0,stldt0(xB)) )
& ! [X6] :
( ( aElementOf0(X6,stldt0(xB))
| aElementOf0(X6,xB)
| ~ aInteger0(X6) )
& ( ( ~ aElementOf0(X6,xB)
& aInteger0(X6) )
| ~ aElementOf0(X6,stldt0(xB)) ) )
& aSet0(stldt0(xB))
& isClosed0(xA)
& isOpen0(stldt0(xA))
& ! [X7] :
( sP17(X7)
| ~ aElementOf0(X7,stldt0(xA)) )
& ! [X13] :
( ( aElementOf0(X13,stldt0(xA))
| aElementOf0(X13,xA)
| ~ aInteger0(X13) )
& ( ( ~ aElementOf0(X13,xA)
& aInteger0(X13) )
| ~ aElementOf0(X13,stldt0(xA)) ) )
& aSet0(stldt0(xA))
& aSubsetOf0(xB,cS1395)
& ! [X14] :
( aElementOf0(X14,cS1395)
| ~ aElementOf0(X14,xB) )
& aSet0(xB)
& ! [X15] :
( ( aElementOf0(X15,cS1395)
| ~ aInteger0(X15) )
& ( aInteger0(X15)
| ~ aElementOf0(X15,cS1395) ) )
& aSet0(cS1395)
& aSubsetOf0(xA,cS1395)
& ! [X16] :
( aElementOf0(X16,cS1395)
| ~ aElementOf0(X16,xA) )
& aSet0(xA)
& ! [X17] :
( ( aElementOf0(X17,cS1395)
| ~ aInteger0(X17) )
& ( aInteger0(X17)
| ~ aElementOf0(X17,cS1395) ) )
& aSet0(cS1395) ),
inference(flattening,[],[f207]) ).
fof(f207,plain,
( isClosed0(xB)
& isOpen0(stldt0(xB))
& ! [X0] :
( sP21(X0)
| ~ aElementOf0(X0,stldt0(xB)) )
& ! [X6] :
( ( aElementOf0(X6,stldt0(xB))
| aElementOf0(X6,xB)
| ~ aInteger0(X6) )
& ( ( ~ aElementOf0(X6,xB)
& aInteger0(X6) )
| ~ aElementOf0(X6,stldt0(xB)) ) )
& aSet0(stldt0(xB))
& isClosed0(xA)
& isOpen0(stldt0(xA))
& ! [X7] :
( sP17(X7)
| ~ aElementOf0(X7,stldt0(xA)) )
& ! [X13] :
( ( aElementOf0(X13,stldt0(xA))
| aElementOf0(X13,xA)
| ~ aInteger0(X13) )
& ( ( ~ aElementOf0(X13,xA)
& aInteger0(X13) )
| ~ aElementOf0(X13,stldt0(xA)) ) )
& aSet0(stldt0(xA))
& aSubsetOf0(xB,cS1395)
& ! [X14] :
( aElementOf0(X14,cS1395)
| ~ aElementOf0(X14,xB) )
& aSet0(xB)
& ! [X15] :
( ( aElementOf0(X15,cS1395)
| ~ aInteger0(X15) )
& ( aInteger0(X15)
| ~ aElementOf0(X15,cS1395) ) )
& aSet0(cS1395)
& aSubsetOf0(xA,cS1395)
& ! [X16] :
( aElementOf0(X16,cS1395)
| ~ aElementOf0(X16,xA) )
& aSet0(xA)
& ! [X17] :
( ( aElementOf0(X17,cS1395)
| ~ aInteger0(X17) )
& ( aInteger0(X17)
| ~ aElementOf0(X17,cS1395) ) )
& aSet0(cS1395) ),
inference(nnf_transformation,[],[f127]) ).
fof(f127,plain,
( isClosed0(xB)
& isOpen0(stldt0(xB))
& ! [X0] :
( sP21(X0)
| ~ aElementOf0(X0,stldt0(xB)) )
& ! [X6] :
( aElementOf0(X6,stldt0(xB))
<=> ( ~ aElementOf0(X6,xB)
& aInteger0(X6) ) )
& aSet0(stldt0(xB))
& isClosed0(xA)
& isOpen0(stldt0(xA))
& ! [X7] :
( sP17(X7)
| ~ aElementOf0(X7,stldt0(xA)) )
& ! [X13] :
( aElementOf0(X13,stldt0(xA))
<=> ( ~ aElementOf0(X13,xA)
& aInteger0(X13) ) )
& aSet0(stldt0(xA))
& aSubsetOf0(xB,cS1395)
& ! [X14] :
( aElementOf0(X14,cS1395)
| ~ aElementOf0(X14,xB) )
& aSet0(xB)
& ! [X15] :
( aElementOf0(X15,cS1395)
<=> aInteger0(X15) )
& aSet0(cS1395)
& aSubsetOf0(xA,cS1395)
& ! [X16] :
( aElementOf0(X16,cS1395)
| ~ aElementOf0(X16,xA) )
& aSet0(xA)
& ! [X17] :
( aElementOf0(X17,cS1395)
<=> aInteger0(X17) )
& aSet0(cS1395) ),
inference(definition_folding,[],[f53,f126,f125,f124,f123,f122,f121,f120,f119]) ).
fof(f53,plain,
( isClosed0(xB)
& isOpen0(stldt0(xB))
& ! [X0] :
( ? [X1] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(xB))
& ! [X2] :
( aElementOf0(X2,stldt0(xB))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
& ! [X3] :
( ( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| ( ~ sdteqdtlpzmzozddtrp0(X3,X0,X1)
& ~ aDivisorOf0(X1,sdtpldt0(X3,smndt0(X0)))
& ! [X4] :
( sdtpldt0(X3,smndt0(X0)) != sdtasdt0(X1,X4)
| ~ aInteger0(X4) ) )
| ~ aInteger0(X3) )
& ( ( sdteqdtlpzmzozddtrp0(X3,X0,X1)
& aDivisorOf0(X1,sdtpldt0(X3,smndt0(X0)))
& ? [X5] :
( sdtpldt0(X3,smndt0(X0)) = sdtasdt0(X1,X5)
& aInteger0(X5) )
& aInteger0(X3) )
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X0,X1)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& sz00 != X1
& aInteger0(X1) )
| ~ aElementOf0(X0,stldt0(xB)) )
& ! [X6] :
( aElementOf0(X6,stldt0(xB))
<=> ( ~ aElementOf0(X6,xB)
& aInteger0(X6) ) )
& aSet0(stldt0(xB))
& isClosed0(xA)
& isOpen0(stldt0(xA))
& ! [X7] :
( ? [X8] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X7,X8),stldt0(xA))
& ! [X9] :
( aElementOf0(X9,stldt0(xA))
| ~ aElementOf0(X9,szAzrzSzezqlpdtcmdtrp0(X7,X8)) )
& ! [X10] :
( ( aElementOf0(X10,szAzrzSzezqlpdtcmdtrp0(X7,X8))
| ( ~ sdteqdtlpzmzozddtrp0(X10,X7,X8)
& ~ aDivisorOf0(X8,sdtpldt0(X10,smndt0(X7)))
& ! [X11] :
( sdtpldt0(X10,smndt0(X7)) != sdtasdt0(X8,X11)
| ~ aInteger0(X11) ) )
| ~ aInteger0(X10) )
& ( ( sdteqdtlpzmzozddtrp0(X10,X7,X8)
& aDivisorOf0(X8,sdtpldt0(X10,smndt0(X7)))
& ? [X12] :
( sdtpldt0(X10,smndt0(X7)) = sdtasdt0(X8,X12)
& aInteger0(X12) )
& aInteger0(X10) )
| ~ aElementOf0(X10,szAzrzSzezqlpdtcmdtrp0(X7,X8)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X7,X8))
& sz00 != X8
& aInteger0(X8) )
| ~ aElementOf0(X7,stldt0(xA)) )
& ! [X13] :
( aElementOf0(X13,stldt0(xA))
<=> ( ~ aElementOf0(X13,xA)
& aInteger0(X13) ) )
& aSet0(stldt0(xA))
& aSubsetOf0(xB,cS1395)
& ! [X14] :
( aElementOf0(X14,cS1395)
| ~ aElementOf0(X14,xB) )
& aSet0(xB)
& ! [X15] :
( aElementOf0(X15,cS1395)
<=> aInteger0(X15) )
& aSet0(cS1395)
& aSubsetOf0(xA,cS1395)
& ! [X16] :
( aElementOf0(X16,cS1395)
| ~ aElementOf0(X16,xA) )
& aSet0(xA)
& ! [X17] :
( aElementOf0(X17,cS1395)
<=> aInteger0(X17) )
& aSet0(cS1395) ),
inference(flattening,[],[f52]) ).
fof(f52,plain,
( isClosed0(xB)
& isOpen0(stldt0(xB))
& ! [X0] :
( ? [X1] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(xB))
& ! [X2] :
( aElementOf0(X2,stldt0(xB))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
& ! [X3] :
( ( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| ( ~ sdteqdtlpzmzozddtrp0(X3,X0,X1)
& ~ aDivisorOf0(X1,sdtpldt0(X3,smndt0(X0)))
& ! [X4] :
( sdtpldt0(X3,smndt0(X0)) != sdtasdt0(X1,X4)
| ~ aInteger0(X4) ) )
| ~ aInteger0(X3) )
& ( ( sdteqdtlpzmzozddtrp0(X3,X0,X1)
& aDivisorOf0(X1,sdtpldt0(X3,smndt0(X0)))
& ? [X5] :
( sdtpldt0(X3,smndt0(X0)) = sdtasdt0(X1,X5)
& aInteger0(X5) )
& aInteger0(X3) )
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X0,X1)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& sz00 != X1
& aInteger0(X1) )
| ~ aElementOf0(X0,stldt0(xB)) )
& ! [X6] :
( aElementOf0(X6,stldt0(xB))
<=> ( ~ aElementOf0(X6,xB)
& aInteger0(X6) ) )
& aSet0(stldt0(xB))
& isClosed0(xA)
& isOpen0(stldt0(xA))
& ! [X7] :
( ? [X8] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X7,X8),stldt0(xA))
& ! [X9] :
( aElementOf0(X9,stldt0(xA))
| ~ aElementOf0(X9,szAzrzSzezqlpdtcmdtrp0(X7,X8)) )
& ! [X10] :
( ( aElementOf0(X10,szAzrzSzezqlpdtcmdtrp0(X7,X8))
| ( ~ sdteqdtlpzmzozddtrp0(X10,X7,X8)
& ~ aDivisorOf0(X8,sdtpldt0(X10,smndt0(X7)))
& ! [X11] :
( sdtpldt0(X10,smndt0(X7)) != sdtasdt0(X8,X11)
| ~ aInteger0(X11) ) )
| ~ aInteger0(X10) )
& ( ( sdteqdtlpzmzozddtrp0(X10,X7,X8)
& aDivisorOf0(X8,sdtpldt0(X10,smndt0(X7)))
& ? [X12] :
( sdtpldt0(X10,smndt0(X7)) = sdtasdt0(X8,X12)
& aInteger0(X12) )
& aInteger0(X10) )
| ~ aElementOf0(X10,szAzrzSzezqlpdtcmdtrp0(X7,X8)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X7,X8))
& sz00 != X8
& aInteger0(X8) )
| ~ aElementOf0(X7,stldt0(xA)) )
& ! [X13] :
( aElementOf0(X13,stldt0(xA))
<=> ( ~ aElementOf0(X13,xA)
& aInteger0(X13) ) )
& aSet0(stldt0(xA))
& aSubsetOf0(xB,cS1395)
& ! [X14] :
( aElementOf0(X14,cS1395)
| ~ aElementOf0(X14,xB) )
& aSet0(xB)
& ! [X15] :
( aElementOf0(X15,cS1395)
<=> aInteger0(X15) )
& aSet0(cS1395)
& aSubsetOf0(xA,cS1395)
& ! [X16] :
( aElementOf0(X16,cS1395)
| ~ aElementOf0(X16,xA) )
& aSet0(xA)
& ! [X17] :
( aElementOf0(X17,cS1395)
<=> aInteger0(X17) )
& aSet0(cS1395) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,plain,
( isClosed0(xB)
& isOpen0(stldt0(xB))
& ! [X0] :
( aElementOf0(X0,stldt0(xB))
=> ? [X1] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(xB))
& ! [X2] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
=> aElementOf0(X2,stldt0(xB)) )
& ! [X3] :
( ( ( ( sdteqdtlpzmzozddtrp0(X3,X0,X1)
| aDivisorOf0(X1,sdtpldt0(X3,smndt0(X0)))
| ? [X4] :
( sdtpldt0(X3,smndt0(X0)) = sdtasdt0(X1,X4)
& aInteger0(X4) ) )
& aInteger0(X3) )
=> aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
& ( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X0,X1))
=> ( sdteqdtlpzmzozddtrp0(X3,X0,X1)
& aDivisorOf0(X1,sdtpldt0(X3,smndt0(X0)))
& ? [X5] :
( sdtpldt0(X3,smndt0(X0)) = sdtasdt0(X1,X5)
& aInteger0(X5) )
& aInteger0(X3) ) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& sz00 != X1
& aInteger0(X1) ) )
& ! [X6] :
( aElementOf0(X6,stldt0(xB))
<=> ( ~ aElementOf0(X6,xB)
& aInteger0(X6) ) )
& aSet0(stldt0(xB))
& isClosed0(xA)
& isOpen0(stldt0(xA))
& ! [X7] :
( aElementOf0(X7,stldt0(xA))
=> ? [X8] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X7,X8),stldt0(xA))
& ! [X9] :
( aElementOf0(X9,szAzrzSzezqlpdtcmdtrp0(X7,X8))
=> aElementOf0(X9,stldt0(xA)) )
& ! [X10] :
( ( ( ( sdteqdtlpzmzozddtrp0(X10,X7,X8)
| aDivisorOf0(X8,sdtpldt0(X10,smndt0(X7)))
| ? [X11] :
( sdtpldt0(X10,smndt0(X7)) = sdtasdt0(X8,X11)
& aInteger0(X11) ) )
& aInteger0(X10) )
=> aElementOf0(X10,szAzrzSzezqlpdtcmdtrp0(X7,X8)) )
& ( aElementOf0(X10,szAzrzSzezqlpdtcmdtrp0(X7,X8))
=> ( sdteqdtlpzmzozddtrp0(X10,X7,X8)
& aDivisorOf0(X8,sdtpldt0(X10,smndt0(X7)))
& ? [X12] :
( sdtpldt0(X10,smndt0(X7)) = sdtasdt0(X8,X12)
& aInteger0(X12) )
& aInteger0(X10) ) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X7,X8))
& sz00 != X8
& aInteger0(X8) ) )
& ! [X13] :
( aElementOf0(X13,stldt0(xA))
<=> ( ~ aElementOf0(X13,xA)
& aInteger0(X13) ) )
& aSet0(stldt0(xA))
& aSubsetOf0(xB,cS1395)
& ! [X14] :
( aElementOf0(X14,xB)
=> aElementOf0(X14,cS1395) )
& aSet0(xB)
& ! [X15] :
( aElementOf0(X15,cS1395)
<=> aInteger0(X15) )
& aSet0(cS1395)
& aSubsetOf0(xA,cS1395)
& ! [X16] :
( aElementOf0(X16,xA)
=> aElementOf0(X16,cS1395) )
& aSet0(xA)
& ! [X17] :
( aElementOf0(X17,cS1395)
<=> aInteger0(X17) )
& aSet0(cS1395) ),
inference(rectify,[],[f39]) ).
fof(f39,axiom,
( isClosed0(xB)
& isOpen0(stldt0(xB))
& ! [X0] :
( aElementOf0(X0,stldt0(xB))
=> ? [X1] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(xB))
& ! [X2] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
=> aElementOf0(X2,stldt0(xB)) )
& ! [X2] :
( ( ( ( sdteqdtlpzmzozddtrp0(X2,X0,X1)
| aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0)))
| ? [X3] :
( sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(X0))
& aInteger0(X3) ) )
& aInteger0(X2) )
=> aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
& ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
=> ( sdteqdtlpzmzozddtrp0(X2,X0,X1)
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0)))
& ? [X3] :
( sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(X0))
& aInteger0(X3) )
& aInteger0(X2) ) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& sz00 != X1
& aInteger0(X1) ) )
& ! [X0] :
( aElementOf0(X0,stldt0(xB))
<=> ( ~ aElementOf0(X0,xB)
& aInteger0(X0) ) )
& aSet0(stldt0(xB))
& isClosed0(xA)
& isOpen0(stldt0(xA))
& ! [X0] :
( aElementOf0(X0,stldt0(xA))
=> ? [X1] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(xA))
& ! [X2] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
=> aElementOf0(X2,stldt0(xA)) )
& ! [X2] :
( ( ( ( sdteqdtlpzmzozddtrp0(X2,X0,X1)
| aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0)))
| ? [X3] :
( sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(X0))
& aInteger0(X3) ) )
& aInteger0(X2) )
=> aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
& ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
=> ( sdteqdtlpzmzozddtrp0(X2,X0,X1)
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0)))
& ? [X3] :
( sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(X0))
& aInteger0(X3) )
& aInteger0(X2) ) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& sz00 != X1
& aInteger0(X1) ) )
& ! [X0] :
( aElementOf0(X0,stldt0(xA))
<=> ( ~ aElementOf0(X0,xA)
& aInteger0(X0) ) )
& aSet0(stldt0(xA))
& aSubsetOf0(xB,cS1395)
& ! [X0] :
( aElementOf0(X0,xB)
=> aElementOf0(X0,cS1395) )
& aSet0(xB)
& ! [X0] :
( aElementOf0(X0,cS1395)
<=> aInteger0(X0) )
& aSet0(cS1395)
& aSubsetOf0(xA,cS1395)
& ! [X0] :
( aElementOf0(X0,xA)
=> aElementOf0(X0,cS1395) )
& aSet0(xA)
& ! [X0] :
( aElementOf0(X0,cS1395)
<=> aInteger0(X0) )
& aSet0(cS1395) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1826) ).
fof(f1044,plain,
spl55_95,
inference(avatar_split_clause,[],[f373,f1042]) ).
fof(f373,plain,
! [X3] :
( aElementOf0(X3,stldt0(xA))
| aElementOf0(X3,xA)
| ~ aInteger0(X3) ),
inference(cnf_transformation,[],[f209]) ).
fof(f992,plain,
spl55_94,
inference(avatar_split_clause,[],[f460,f990]) ).
fof(f460,plain,
! [X0,X1] :
( aInteger0(sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0,X1] :
( aInteger0(sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( aInteger0(sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] :
( ( aInteger0(X1)
& aInteger0(X0) )
=> aInteger0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntMult) ).
fof(f988,plain,
spl55_93,
inference(avatar_split_clause,[],[f459,f986]) ).
fof(f459,plain,
! [X0,X1] :
( aInteger0(sdtpldt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0,X1] :
( aInteger0(sdtpldt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f74]) ).
fof(f74,plain,
! [X0,X1] :
( aInteger0(sdtpldt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( ( aInteger0(X1)
& aInteger0(X0) )
=> aInteger0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntPlus) ).
fof(f984,plain,
spl55_92,
inference(avatar_split_clause,[],[f445,f982]) ).
fof(f982,plain,
( spl55_92
<=> ! [X0] :
( sP29(X0)
| ~ aSubsetOf0(sK50(X0),cS1395)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_92])]) ).
fof(f445,plain,
! [X0] :
( sP29(X0)
| ~ aSubsetOf0(sK50(X0),cS1395)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f250]) ).
fof(f250,plain,
! [X0] :
( sP29(X0)
| ( ~ aSubsetOf0(sK50(X0),cS1395)
& aElementOf0(sK50(X0),X0) )
| ~ aSet0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK50])],[f139,f249]) ).
fof(f249,plain,
! [X0] :
( ? [X1] :
( ~ aSubsetOf0(X1,cS1395)
& aElementOf0(X1,X0) )
=> ( ~ aSubsetOf0(sK50(X0),cS1395)
& aElementOf0(sK50(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f139,plain,
! [X0] :
( sP29(X0)
| ? [X1] :
( ~ aSubsetOf0(X1,cS1395)
& aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(definition_folding,[],[f67,f138,f137]) ).
fof(f67,plain,
! [X0] :
( ! [X2] :
( sbsmnsldt0(X0) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( ? [X4] :
( aElementOf0(X3,X4)
& aElementOf0(X4,X0) )
& aInteger0(X3) ) )
& aSet0(X2) ) )
| ? [X1] :
( ~ aSubsetOf0(X1,cS1395)
& aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(flattening,[],[f66]) ).
fof(f66,plain,
! [X0] :
( ! [X2] :
( sbsmnsldt0(X0) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( ? [X4] :
( aElementOf0(X3,X4)
& aElementOf0(X4,X0) )
& aInteger0(X3) ) )
& aSet0(X2) ) )
| ? [X1] :
( ~ aSubsetOf0(X1,cS1395)
& aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0] :
( ( ! [X1] :
( aElementOf0(X1,X0)
=> aSubsetOf0(X1,cS1395) )
& aSet0(X0) )
=> ! [X2] :
( sbsmnsldt0(X0) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( ? [X4] :
( aElementOf0(X3,X4)
& aElementOf0(X4,X0) )
& aInteger0(X3) ) )
& aSet0(X2) ) ) ),
inference(rectify,[],[f32]) ).
fof(f32,axiom,
! [X0] :
( ( ! [X1] :
( aElementOf0(X1,X0)
=> aSubsetOf0(X1,cS1395) )
& aSet0(X0) )
=> ! [X1] :
( sbsmnsldt0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ( ? [X3] :
( aElementOf0(X2,X3)
& aElementOf0(X3,X0) )
& aInteger0(X2) ) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mUnionSet) ).
fof(f980,plain,
spl55_91,
inference(avatar_split_clause,[],[f444,f978]) ).
fof(f444,plain,
! [X0] :
( sP29(X0)
| aElementOf0(sK50(X0),X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f250]) ).
fof(f974,plain,
spl55_90,
inference(avatar_split_clause,[],[f436,f972]) ).
fof(f436,plain,
! [X0,X1,X5] :
( aInteger0(X5)
| ~ aElementOf0(X5,X1)
| ~ sP28(X0,X1) ),
inference(cnf_transformation,[],[f248]) ).
fof(f970,plain,
spl55_89,
inference(avatar_split_clause,[],[f426,f968]) ).
fof(f426,plain,
! [X3,X0,X1] :
( aInteger0(X3)
| ~ aElementOf0(X3,X1)
| ~ sP26(X0,X1) ),
inference(cnf_transformation,[],[f238]) ).
fof(f966,plain,
spl55_88,
inference(avatar_split_clause,[],[f414,f964]) ).
fof(f964,plain,
( spl55_88
<=> ! [X0] :
( isClosed0(X0)
| ~ isOpen0(stldt0(X0))
| ~ aSubsetOf0(X0,cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_88])]) ).
fof(f414,plain,
! [X0] :
( isClosed0(X0)
| ~ isOpen0(stldt0(X0))
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[],[f226]) ).
fof(f226,plain,
! [X0] :
( ( ( isClosed0(X0)
| ~ isOpen0(stldt0(X0)) )
& ( isOpen0(stldt0(X0))
| ~ isClosed0(X0) ) )
| ~ aSubsetOf0(X0,cS1395) ),
inference(nnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0] :
( ( isClosed0(X0)
<=> isOpen0(stldt0(X0)) )
| ~ aSubsetOf0(X0,cS1395) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0] :
( aSubsetOf0(X0,cS1395)
=> ( isClosed0(X0)
<=> isOpen0(stldt0(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mClosed) ).
fof(f962,plain,
spl55_87,
inference(avatar_split_clause,[],[f413,f960]) ).
fof(f960,plain,
( spl55_87
<=> ! [X0] :
( isOpen0(stldt0(X0))
| ~ isClosed0(X0)
| ~ aSubsetOf0(X0,cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_87])]) ).
fof(f413,plain,
! [X0] :
( isOpen0(stldt0(X0))
| ~ isClosed0(X0)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[],[f226]) ).
fof(f958,plain,
spl55_86,
inference(avatar_split_clause,[],[f402,f956]) ).
fof(f402,plain,
! [X0,X1] :
( aDivisorOf0(X1,X0)
| ~ sP22(X0,X1)
| ~ sP23(X0) ),
inference(cnf_transformation,[],[f215]) ).
fof(f215,plain,
! [X0] :
( ! [X1] :
( ( aDivisorOf0(X1,X0)
| ~ sP22(X0,X1) )
& ( sP22(X0,X1)
| ~ aDivisorOf0(X1,X0) ) )
| ~ sP23(X0) ),
inference(nnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0] :
( ! [X1] :
( aDivisorOf0(X1,X0)
<=> sP22(X0,X1) )
| ~ sP23(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f954,plain,
spl55_85,
inference(avatar_split_clause,[],[f401,f952]) ).
fof(f401,plain,
! [X0,X1] :
( sP22(X0,X1)
| ~ aDivisorOf0(X1,X0)
| ~ sP23(X0) ),
inference(cnf_transformation,[],[f215]) ).
fof(f950,plain,
spl55_84,
inference(avatar_split_clause,[],[f394,f948]) ).
fof(f394,plain,
! [X0] :
( sz00 = sdtpldt0(smndt0(X0),X0)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0] :
( ( sz00 = sdtpldt0(smndt0(X0),X0)
& sz00 = sdtpldt0(X0,smndt0(X0)) )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( aInteger0(X0)
=> ( sz00 = sdtpldt0(smndt0(X0),X0)
& sz00 = sdtpldt0(X0,smndt0(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddNeg) ).
fof(f946,plain,
spl55_83,
inference(avatar_split_clause,[],[f393,f944]) ).
fof(f393,plain,
! [X0] :
( sz00 = sdtpldt0(X0,smndt0(X0))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f941,plain,
( ~ spl55_13
| spl55_82 ),
inference(avatar_split_clause,[],[f307,f939,f568]) ).
fof(f307,plain,
! [X0] :
( aInteger0(X0)
| ~ aElementOf0(X0,sdtbsmnsldt0(xA,xB))
| ~ sP6 ),
inference(cnf_transformation,[],[f165]) ).
fof(f934,plain,
( ~ spl55_25
| spl55_81 ),
inference(avatar_split_clause,[],[f318,f931,f627]) ).
fof(f627,plain,
( spl55_25
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl55_25])]) ).
fof(f318,plain,
( aElementOf0(sK36,stldt0(xA))
| ~ sP2 ),
inference(cnf_transformation,[],[f178]) ).
fof(f178,plain,
( ( ~ aElementOf0(sK36,cS1395)
& aElementOf0(sK36,stldt0(xA)) )
| ~ sP2 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK36])],[f176,f177]) ).
fof(f177,plain,
( ? [X0] :
( ~ aElementOf0(X0,cS1395)
& aElementOf0(X0,stldt0(xA)) )
=> ( ~ aElementOf0(sK36,cS1395)
& aElementOf0(sK36,stldt0(xA)) ) ),
introduced(choice_axiom,[]) ).
fof(f176,plain,
( ? [X0] :
( ~ aElementOf0(X0,cS1395)
& aElementOf0(X0,stldt0(xA)) )
| ~ sP2 ),
inference(rectify,[],[f175]) ).
fof(f175,plain,
( ? [X10] :
( ~ aElementOf0(X10,cS1395)
& aElementOf0(X10,stldt0(xA)) )
| ~ sP2 ),
inference(nnf_transformation,[],[f106]) ).
fof(f106,plain,
( ? [X10] :
( ~ aElementOf0(X10,cS1395)
& aElementOf0(X10,stldt0(xA)) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f929,plain,
( ~ spl55_1
| ~ spl55_80 ),
inference(avatar_split_clause,[],[f293,f926,f510]) ).
fof(f510,plain,
( spl55_1
<=> sP11 ),
introduced(avatar_definition,[new_symbols(naming,[spl55_1])]) ).
fof(f926,plain,
( spl55_80
<=> aSubsetOf0(stldt0(xA),cS1395) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_80])]) ).
fof(f293,plain,
( ~ aSubsetOf0(stldt0(xA),cS1395)
| ~ sP11 ),
inference(cnf_transformation,[],[f149]) ).
fof(f149,plain,
( ( ~ aSubsetOf0(stldt0(xA),cS1395)
& sP2
& sP1
& aSet0(cS1395)
& sP0
& aSet0(stldt0(xA)) )
| ~ sP11 ),
inference(nnf_transformation,[],[f115]) ).
fof(f115,plain,
( ( ~ aSubsetOf0(stldt0(xA),cS1395)
& sP2
& sP1
& aSet0(cS1395)
& sP0
& aSet0(stldt0(xA)) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f923,plain,
( ~ spl55_1
| spl55_25 ),
inference(avatar_split_clause,[],[f292,f627,f510]) ).
fof(f292,plain,
( sP2
| ~ sP11 ),
inference(cnf_transformation,[],[f149]) ).
fof(f922,plain,
( ~ spl55_1
| spl55_79 ),
inference(avatar_split_clause,[],[f291,f919,f510]) ).
fof(f919,plain,
( spl55_79
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl55_79])]) ).
fof(f291,plain,
( sP1
| ~ sP11 ),
inference(cnf_transformation,[],[f149]) ).
fof(f917,plain,
( ~ spl55_3
| spl55_78 ),
inference(avatar_split_clause,[],[f279,f914,f518]) ).
fof(f914,plain,
( spl55_78
<=> sP10 ),
introduced(avatar_definition,[new_symbols(naming,[spl55_78])]) ).
fof(f279,plain,
( sP10
| ~ sP13 ),
inference(cnf_transformation,[],[f147]) ).
fof(f912,plain,
( ~ spl55_3
| spl55_77 ),
inference(avatar_split_clause,[],[f278,f909,f518]) ).
fof(f909,plain,
( spl55_77
<=> sP9 ),
introduced(avatar_definition,[new_symbols(naming,[spl55_77])]) ).
fof(f278,plain,
( sP9
| ~ sP13 ),
inference(cnf_transformation,[],[f147]) ).
fof(f907,plain,
( spl55_31
| ~ spl55_32
| ~ spl55_46 ),
inference(avatar_split_clause,[],[f735,f728,f663,f658]) ).
fof(f658,plain,
( spl55_31
<=> aInteger0(sK35) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_31])]) ).
fof(f663,plain,
( spl55_32
<=> aElementOf0(sK35,stldt0(xB)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_32])]) ).
fof(f735,plain,
( aInteger0(sK35)
| ~ spl55_32
| ~ spl55_46 ),
inference(resolution,[],[f729,f665]) ).
fof(f665,plain,
( aElementOf0(sK35,stldt0(xB))
| ~ spl55_32 ),
inference(avatar_component_clause,[],[f663]) ).
fof(f867,plain,
( spl55_76
| ~ spl55_18
| ~ spl55_39 ),
inference(avatar_split_clause,[],[f710,f692,f593,f864]) ).
fof(f864,plain,
( spl55_76
<=> sP27(xB) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_76])]) ).
fof(f593,plain,
( spl55_18
<=> aSubsetOf0(xB,cS1395) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_18])]) ).
fof(f710,plain,
( sP27(xB)
| ~ spl55_18
| ~ spl55_39 ),
inference(resolution,[],[f693,f595]) ).
fof(f595,plain,
( aSubsetOf0(xB,cS1395)
| ~ spl55_18 ),
inference(avatar_component_clause,[],[f593]) ).
fof(f862,plain,
( ~ spl55_15
| spl55_75 ),
inference(avatar_split_clause,[],[f498,f860,f578]) ).
fof(f860,plain,
( spl55_75
<=> ! [X2] :
( ~ isPrime0(X2)
| ~ aDivisorOf0(X2,sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_75])]) ).
fof(f498,plain,
! [X2] :
( ~ isPrime0(X2)
| ~ aDivisorOf0(X2,sz10)
| ~ aInteger0(sz10) ),
inference(equality_resolution,[],[f397]) ).
fof(f397,plain,
! [X2,X0] :
( sz10 != X0
| ~ isPrime0(X2)
| ~ aDivisorOf0(X2,X0)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f214]) ).
fof(f858,plain,
spl55_74,
inference(avatar_split_clause,[],[f409,f856]) ).
fof(f409,plain,
! [X0,X1] :
( aSet0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f225]) ).
fof(f854,plain,
spl55_73,
inference(avatar_split_clause,[],[f405,f852]) ).
fof(f405,plain,
! [X0,X1] :
( aInteger0(sK42(X0,X1))
| ~ sP22(X0,X1) ),
inference(cnf_transformation,[],[f220]) ).
fof(f850,plain,
spl55_72,
inference(avatar_split_clause,[],[f392,f848]) ).
fof(f392,plain,
! [X0] :
( sdtasdt0(sz10,X0) = X0
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0] :
( ( sdtasdt0(sz10,X0) = X0
& sdtasdt0(X0,sz10) = X0 )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( aInteger0(X0)
=> ( sdtasdt0(sz10,X0) = X0
& sdtasdt0(X0,sz10) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulOne) ).
fof(f846,plain,
spl55_71,
inference(avatar_split_clause,[],[f391,f844]) ).
fof(f391,plain,
! [X0] :
( sdtasdt0(X0,sz10) = X0
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f842,plain,
spl55_70,
inference(avatar_split_clause,[],[f390,f840]) ).
fof(f390,plain,
! [X0] :
( sdtpldt0(sz00,X0) = X0
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0] :
( ( sdtpldt0(sz00,X0) = X0
& sdtpldt0(X0,sz00) = X0 )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( aInteger0(X0)
=> ( sdtpldt0(sz00,X0) = X0
& sdtpldt0(X0,sz00) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddZero) ).
fof(f838,plain,
spl55_69,
inference(avatar_split_clause,[],[f389,f836]) ).
fof(f389,plain,
! [X0] :
( sdtpldt0(X0,sz00) = X0
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f834,plain,
( spl55_68
| ~ spl55_17
| ~ spl55_39 ),
inference(avatar_split_clause,[],[f709,f692,f588,f831]) ).
fof(f831,plain,
( spl55_68
<=> sP27(xA) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_68])]) ).
fof(f588,plain,
( spl55_17
<=> aSubsetOf0(xA,cS1395) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_17])]) ).
fof(f709,plain,
( sP27(xA)
| ~ spl55_17
| ~ spl55_39 ),
inference(resolution,[],[f693,f590]) ).
fof(f590,plain,
( aSubsetOf0(xA,cS1395)
| ~ spl55_17 ),
inference(avatar_component_clause,[],[f588]) ).
fof(f829,plain,
spl55_67,
inference(avatar_split_clause,[],[f388,f827]) ).
fof(f388,plain,
! [X0] :
( sz00 = sdtasdt0(sz00,X0)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0] :
( ( sz00 = sdtasdt0(sz00,X0)
& sz00 = sdtasdt0(X0,sz00) )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( aInteger0(X0)
=> ( sz00 = sdtasdt0(sz00,X0)
& sz00 = sdtasdt0(X0,sz00) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulZero) ).
fof(f825,plain,
spl55_66,
inference(avatar_split_clause,[],[f387,f823]) ).
fof(f387,plain,
! [X0] :
( sz00 = sdtasdt0(X0,sz00)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f821,plain,
spl55_65,
inference(avatar_split_clause,[],[f348,f819]) ).
fof(f819,plain,
( spl55_65
<=> ! [X2,X0,X1] :
( sP15(X0,X1,X2)
| ~ sP16(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_65])]) ).
fof(f348,plain,
! [X2,X0,X1] :
( sP15(X0,X1,X2)
| ~ sP16(X0,X1) ),
inference(cnf_transformation,[],[f200]) ).
fof(f817,plain,
spl55_64,
inference(avatar_split_clause,[],[f344,f815]) ).
fof(f815,plain,
( spl55_64
<=> ! [X0] :
( aSet0(szAzrzSzezqlpdtcmdtrp0(X0,sK39(X0)))
| ~ sP17(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_64])]) ).
fof(f344,plain,
! [X0] :
( aSet0(szAzrzSzezqlpdtcmdtrp0(X0,sK39(X0)))
| ~ sP17(X0) ),
inference(cnf_transformation,[],[f198]) ).
fof(f813,plain,
spl55_63,
inference(avatar_split_clause,[],[f332,f811]) ).
fof(f811,plain,
( spl55_63
<=> ! [X2,X0,X1] :
( sP19(X0,X1,X2)
| ~ sP20(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_63])]) ).
fof(f332,plain,
! [X2,X0,X1] :
( sP19(X0,X1,X2)
| ~ sP20(X0,X1) ),
inference(cnf_transformation,[],[f188]) ).
fof(f809,plain,
spl55_62,
inference(avatar_split_clause,[],[f328,f807]) ).
fof(f807,plain,
( spl55_62
<=> ! [X0] :
( aSet0(szAzrzSzezqlpdtcmdtrp0(X0,sK37(X0)))
| ~ sP21(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_62])]) ).
fof(f328,plain,
! [X0] :
( aSet0(szAzrzSzezqlpdtcmdtrp0(X0,sK37(X0)))
| ~ sP21(X0) ),
inference(cnf_transformation,[],[f186]) ).
fof(f802,plain,
spl55_61,
inference(avatar_split_clause,[],[f379,f800]) ).
fof(f379,plain,
! [X1] :
( ~ aElementOf0(X1,xB)
| ~ aElementOf0(X1,stldt0(xB)) ),
inference(cnf_transformation,[],[f209]) ).
fof(f798,plain,
spl55_60,
inference(avatar_split_clause,[],[f372,f796]) ).
fof(f372,plain,
! [X3] :
( ~ aElementOf0(X3,xA)
| ~ aElementOf0(X3,stldt0(xA)) ),
inference(cnf_transformation,[],[f209]) ).
fof(f794,plain,
( spl55_59
| ~ spl55_18
| ~ spl55_37 ),
inference(avatar_split_clause,[],[f708,f684,f593,f791]) ).
fof(f708,plain,
( sP25(xB)
| ~ spl55_18
| ~ spl55_37 ),
inference(resolution,[],[f685,f595]) ).
fof(f781,plain,
( spl55_58
| ~ spl55_17
| ~ spl55_37 ),
inference(avatar_split_clause,[],[f707,f684,f588,f778]) ).
fof(f707,plain,
( sP25(xA)
| ~ spl55_17
| ~ spl55_37 ),
inference(resolution,[],[f685,f590]) ).
fof(f776,plain,
spl55_57,
inference(avatar_split_clause,[],[f502,f774]) ).
fof(f502,plain,
! [X0] :
( sP28(X0,sbsmnsldt0(X0))
| ~ sP29(X0) ),
inference(equality_resolution,[],[f434]) ).
fof(f434,plain,
! [X0,X1] :
( sP28(X0,X1)
| sbsmnsldt0(X0) != X1
| ~ sP29(X0) ),
inference(cnf_transformation,[],[f241]) ).
fof(f772,plain,
spl55_56,
inference(avatar_split_clause,[],[f501,f770]) ).
fof(f501,plain,
! [X0] :
( sP26(X0,stldt0(X0))
| ~ sP27(X0) ),
inference(equality_resolution,[],[f423]) ).
fof(f423,plain,
! [X0,X1] :
( sP26(X0,X1)
| stldt0(X0) != X1
| ~ sP27(X0) ),
inference(cnf_transformation,[],[f233]) ).
fof(f768,plain,
spl55_55,
inference(avatar_split_clause,[],[f451,f766]) ).
fof(f451,plain,
! [X2,X0,X1] :
( aSet0(X2)
| ~ sP30(X0,X1,X2) ),
inference(cnf_transformation,[],[f258]) ).
fof(f764,plain,
spl55_54,
inference(avatar_split_clause,[],[f420,f762]) ).
fof(f420,plain,
! [X0] :
( sP24(X0)
| aElementOf0(sK44(X0),X0) ),
inference(cnf_transformation,[],[f232]) ).
fof(f760,plain,
spl55_53,
inference(avatar_split_clause,[],[f416,f758]) ).
fof(f416,plain,
! [X0] :
( isOpen0(X0)
| ~ sP24(X0)
| ~ sP25(X0) ),
inference(cnf_transformation,[],[f227]) ).
fof(f227,plain,
! [X0] :
( ( ( isOpen0(X0)
| ~ sP24(X0) )
& ( sP24(X0)
| ~ isOpen0(X0) ) )
| ~ sP25(X0) ),
inference(nnf_transformation,[],[f132]) ).
fof(f132,plain,
! [X0] :
( ( isOpen0(X0)
<=> sP24(X0) )
| ~ sP25(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f756,plain,
spl55_52,
inference(avatar_split_clause,[],[f415,f754]) ).
fof(f415,plain,
! [X0] :
( sP24(X0)
| ~ isOpen0(X0)
| ~ sP25(X0) ),
inference(cnf_transformation,[],[f227]) ).
fof(f752,plain,
spl55_51,
inference(avatar_split_clause,[],[f345,f750]) ).
fof(f750,plain,
( spl55_51
<=> ! [X0] :
( sP16(sK39(X0),X0)
| ~ sP17(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_51])]) ).
fof(f345,plain,
! [X0] :
( sP16(sK39(X0),X0)
| ~ sP17(X0) ),
inference(cnf_transformation,[],[f198]) ).
fof(f748,plain,
spl55_50,
inference(avatar_split_clause,[],[f343,f746]) ).
fof(f746,plain,
( spl55_50
<=> ! [X0] :
( sz00 != sK39(X0)
| ~ sP17(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_50])]) ).
fof(f343,plain,
! [X0] :
( sz00 != sK39(X0)
| ~ sP17(X0) ),
inference(cnf_transformation,[],[f198]) ).
fof(f744,plain,
spl55_49,
inference(avatar_split_clause,[],[f329,f742]) ).
fof(f742,plain,
( spl55_49
<=> ! [X0] :
( sP20(sK37(X0),X0)
| ~ sP21(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_49])]) ).
fof(f329,plain,
! [X0] :
( sP20(sK37(X0),X0)
| ~ sP21(X0) ),
inference(cnf_transformation,[],[f186]) ).
fof(f740,plain,
spl55_48,
inference(avatar_split_clause,[],[f327,f738]) ).
fof(f738,plain,
( spl55_48
<=> ! [X0] :
( sz00 != sK37(X0)
| ~ sP21(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_48])]) ).
fof(f327,plain,
! [X0] :
( sz00 != sK37(X0)
| ~ sP21(X0) ),
inference(cnf_transformation,[],[f186]) ).
fof(f734,plain,
spl55_47,
inference(avatar_split_clause,[],[f381,f732]) ).
fof(f381,plain,
! [X0] :
( sP21(X0)
| ~ aElementOf0(X0,stldt0(xB)) ),
inference(cnf_transformation,[],[f209]) ).
fof(f730,plain,
spl55_46,
inference(avatar_split_clause,[],[f378,f728]) ).
fof(f378,plain,
! [X1] :
( aInteger0(X1)
| ~ aElementOf0(X1,stldt0(xB)) ),
inference(cnf_transformation,[],[f209]) ).
fof(f726,plain,
spl55_45,
inference(avatar_split_clause,[],[f374,f724]) ).
fof(f374,plain,
! [X2] :
( sP17(X2)
| ~ aElementOf0(X2,stldt0(xA)) ),
inference(cnf_transformation,[],[f209]) ).
fof(f722,plain,
spl55_44,
inference(avatar_split_clause,[],[f371,f720]) ).
fof(f371,plain,
! [X3] :
( aInteger0(X3)
| ~ aElementOf0(X3,stldt0(xA)) ),
inference(cnf_transformation,[],[f209]) ).
fof(f718,plain,
spl55_43,
inference(avatar_split_clause,[],[f368,f716]) ).
fof(f368,plain,
! [X4] :
( aElementOf0(X4,cS1395)
| ~ aElementOf0(X4,xB) ),
inference(cnf_transformation,[],[f209]) ).
fof(f714,plain,
spl55_42,
inference(avatar_split_clause,[],[f362,f712]) ).
fof(f362,plain,
! [X6] :
( aElementOf0(X6,cS1395)
| ~ aElementOf0(X6,xA) ),
inference(cnf_transformation,[],[f209]) ).
fof(f703,plain,
( ~ spl55_41
| spl55_26
| ~ spl55_29 ),
inference(avatar_split_clause,[],[f650,f646,f631,f700]) ).
fof(f631,plain,
( spl55_26
<=> aElementOf0(sK36,cS1395) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_26])]) ).
fof(f650,plain,
( ~ aInteger0(sK36)
| spl55_26
| ~ spl55_29 ),
inference(resolution,[],[f647,f633]) ).
fof(f633,plain,
( ~ aElementOf0(sK36,cS1395)
| spl55_26 ),
inference(avatar_component_clause,[],[f631]) ).
fof(f698,plain,
spl55_40,
inference(avatar_split_clause,[],[f503,f696]) ).
fof(f696,plain,
( spl55_40
<=> ! [X0] :
( aSet0(sbsmnsldt0(X0))
| ~ sP29(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_40])]) ).
fof(f503,plain,
! [X0] :
( aSet0(sbsmnsldt0(X0))
| ~ sP29(X0) ),
inference(equality_resolution,[],[f433]) ).
fof(f433,plain,
! [X0,X1] :
( aSet0(X1)
| sbsmnsldt0(X0) != X1
| ~ sP29(X0) ),
inference(cnf_transformation,[],[f241]) ).
fof(f694,plain,
spl55_39,
inference(avatar_split_clause,[],[f432,f692]) ).
fof(f432,plain,
! [X0] :
( sP27(X0)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
! [X0] :
( sP27(X0)
| ~ aSubsetOf0(X0,cS1395) ),
inference(definition_folding,[],[f65,f135,f134]) ).
fof(f65,plain,
! [X0] :
( ! [X1] :
( stldt0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ( ~ aElementOf0(X2,X0)
& aInteger0(X2) ) )
& aSet0(X1) ) )
| ~ aSubsetOf0(X0,cS1395) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0] :
( aSubsetOf0(X0,cS1395)
=> ! [X1] :
( stldt0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ( ~ aElementOf0(X2,X0)
& aInteger0(X2) ) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mComplement) ).
fof(f690,plain,
spl55_38,
inference(avatar_split_clause,[],[f425,f688]) ).
fof(f425,plain,
! [X0,X1] :
( aSet0(X1)
| ~ sP26(X0,X1) ),
inference(cnf_transformation,[],[f238]) ).
fof(f686,plain,
spl55_37,
inference(avatar_split_clause,[],[f422,f684]) ).
fof(f422,plain,
! [X0] :
( sP25(X0)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0] :
( sP25(X0)
| ~ aSubsetOf0(X0,cS1395) ),
inference(definition_folding,[],[f64,f132,f131]) ).
fof(f64,plain,
! [X0] :
( ( isOpen0(X0)
<=> ! [X1] :
( ? [X2] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),X0)
& sz00 != X2
& aInteger0(X2) )
| ~ aElementOf0(X1,X0) ) )
| ~ aSubsetOf0(X0,cS1395) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0] :
( aSubsetOf0(X0,cS1395)
=> ( isOpen0(X0)
<=> ! [X1] :
( aElementOf0(X1,X0)
=> ? [X2] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),X0)
& sz00 != X2
& aInteger0(X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mOpen) ).
fof(f682,plain,
spl55_36,
inference(avatar_split_clause,[],[f403,f680]) ).
fof(f680,plain,
( spl55_36
<=> ! [X0,X1] :
( aInteger0(X1)
| ~ sP22(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_36])]) ).
fof(f403,plain,
! [X0,X1] :
( aInteger0(X1)
| ~ sP22(X0,X1) ),
inference(cnf_transformation,[],[f220]) ).
fof(f678,plain,
spl55_35,
inference(avatar_split_clause,[],[f386,f676]) ).
fof(f386,plain,
! [X0] :
( aInteger0(smndt0(X0))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0] :
( aInteger0(smndt0(X0))
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( aInteger0(X0)
=> aInteger0(smndt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntNeg) ).
fof(f674,plain,
spl55_34,
inference(avatar_split_clause,[],[f342,f672]) ).
fof(f342,plain,
! [X0] :
( aInteger0(sK39(X0))
| ~ sP17(X0) ),
inference(cnf_transformation,[],[f198]) ).
fof(f670,plain,
spl55_33,
inference(avatar_split_clause,[],[f326,f668]) ).
fof(f326,plain,
! [X0] :
( aInteger0(sK37(X0))
| ~ sP21(X0) ),
inference(cnf_transformation,[],[f186]) ).
fof(f666,plain,
( ~ spl55_12
| spl55_32 ),
inference(avatar_split_clause,[],[f311,f663,f563]) ).
fof(f563,plain,
( spl55_12
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl55_12])]) ).
fof(f311,plain,
( aElementOf0(sK35,stldt0(xB))
| ~ sP5 ),
inference(cnf_transformation,[],[f169]) ).
fof(f169,plain,
( ( ~ aElementOf0(sK35,cS1395)
& aElementOf0(sK35,stldt0(xB)) )
| ~ sP5 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK35])],[f167,f168]) ).
fof(f168,plain,
( ? [X0] :
( ~ aElementOf0(X0,cS1395)
& aElementOf0(X0,stldt0(xB)) )
=> ( ~ aElementOf0(sK35,cS1395)
& aElementOf0(sK35,stldt0(xB)) ) ),
introduced(choice_axiom,[]) ).
fof(f167,plain,
( ? [X0] :
( ~ aElementOf0(X0,cS1395)
& aElementOf0(X0,stldt0(xB)) )
| ~ sP5 ),
inference(rectify,[],[f166]) ).
fof(f166,plain,
( ? [X7] :
( ~ aElementOf0(X7,cS1395)
& aElementOf0(X7,stldt0(xB)) )
| ~ sP5 ),
inference(nnf_transformation,[],[f109]) ).
fof(f109,plain,
( ? [X7] :
( ~ aElementOf0(X7,cS1395)
& aElementOf0(X7,stldt0(xB)) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f661,plain,
( ~ spl55_31
| spl55_24
| ~ spl55_29 ),
inference(avatar_split_clause,[],[f649,f646,f622,f658]) ).
fof(f622,plain,
( spl55_24
<=> aElementOf0(sK35,cS1395) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_24])]) ).
fof(f649,plain,
( ~ aInteger0(sK35)
| spl55_24
| ~ spl55_29 ),
inference(resolution,[],[f647,f624]) ).
fof(f624,plain,
( ~ aElementOf0(sK35,cS1395)
| spl55_24 ),
inference(avatar_component_clause,[],[f622]) ).
fof(f656,plain,
( ~ spl55_2
| ~ spl55_30 ),
inference(avatar_split_clause,[],[f287,f653,f514]) ).
fof(f514,plain,
( spl55_2
<=> sP12 ),
introduced(avatar_definition,[new_symbols(naming,[spl55_2])]) ).
fof(f653,plain,
( spl55_30
<=> aSubsetOf0(stldt0(xB),cS1395) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_30])]) ).
fof(f287,plain,
( ~ aSubsetOf0(stldt0(xB),cS1395)
| ~ sP12 ),
inference(cnf_transformation,[],[f148]) ).
fof(f148,plain,
( ( ~ aSubsetOf0(stldt0(xB),cS1395)
& sP5
& sP4
& aSet0(cS1395)
& sP3
& aSet0(stldt0(xB)) )
| ~ sP12 ),
inference(nnf_transformation,[],[f116]) ).
fof(f116,plain,
( ( ~ aSubsetOf0(stldt0(xB),cS1395)
& sP5
& sP4
& aSet0(cS1395)
& sP3
& aSet0(stldt0(xB)) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f648,plain,
spl55_29,
inference(avatar_split_clause,[],[f366,f646]) ).
fof(f366,plain,
! [X5] :
( aElementOf0(X5,cS1395)
| ~ aInteger0(X5) ),
inference(cnf_transformation,[],[f209]) ).
fof(f644,plain,
spl55_28,
inference(avatar_split_clause,[],[f365,f642]) ).
fof(f365,plain,
! [X5] :
( aInteger0(X5)
| ~ aElementOf0(X5,cS1395) ),
inference(cnf_transformation,[],[f209]) ).
fof(f638,plain,
spl55_27,
inference(avatar_split_clause,[],[f408,f636]) ).
fof(f408,plain,
! [X0] :
( sP23(X0)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0] :
( sP23(X0)
| ~ aInteger0(X0) ),
inference(definition_folding,[],[f61,f129,f128]) ).
fof(f61,plain,
! [X0] :
( ! [X1] :
( aDivisorOf0(X1,X0)
<=> ( ? [X2] :
( sdtasdt0(X1,X2) = X0
& aInteger0(X2) )
& sz00 != X1
& aInteger0(X1) ) )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0] :
( aInteger0(X0)
=> ! [X1] :
( aDivisorOf0(X1,X0)
<=> ( ? [X2] :
( sdtasdt0(X1,X2) = X0
& aInteger0(X2) )
& sz00 != X1
& aInteger0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDivisor) ).
fof(f634,plain,
( ~ spl55_25
| ~ spl55_26 ),
inference(avatar_split_clause,[],[f319,f631,f627]) ).
fof(f319,plain,
( ~ aElementOf0(sK36,cS1395)
| ~ sP2 ),
inference(cnf_transformation,[],[f178]) ).
fof(f625,plain,
( ~ spl55_12
| ~ spl55_24 ),
inference(avatar_split_clause,[],[f312,f622,f563]) ).
fof(f312,plain,
( ~ aElementOf0(sK35,cS1395)
| ~ sP5 ),
inference(cnf_transformation,[],[f169]) ).
fof(f620,plain,
spl55_23,
inference(avatar_split_clause,[],[f500,f618]) ).
fof(f618,plain,
( spl55_23
<=> ! [X0] : ~ sP22(X0,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_23])]) ).
fof(f500,plain,
! [X0] : ~ sP22(X0,sz00),
inference(equality_resolution,[],[f404]) ).
fof(f404,plain,
! [X0,X1] :
( sz00 != X1
| ~ sP22(X0,X1) ),
inference(cnf_transformation,[],[f220]) ).
fof(f616,plain,
spl55_22,
inference(avatar_split_clause,[],[f382,f613]) ).
fof(f613,plain,
( spl55_22
<=> isOpen0(stldt0(xB)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_22])]) ).
fof(f382,plain,
isOpen0(stldt0(xB)),
inference(cnf_transformation,[],[f209]) ).
fof(f611,plain,
spl55_21,
inference(avatar_split_clause,[],[f377,f608]) ).
fof(f377,plain,
aSet0(stldt0(xB)),
inference(cnf_transformation,[],[f209]) ).
fof(f606,plain,
spl55_20,
inference(avatar_split_clause,[],[f375,f603]) ).
fof(f603,plain,
( spl55_20
<=> isOpen0(stldt0(xA)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_20])]) ).
fof(f375,plain,
isOpen0(stldt0(xA)),
inference(cnf_transformation,[],[f209]) ).
fof(f601,plain,
spl55_19,
inference(avatar_split_clause,[],[f370,f598]) ).
fof(f370,plain,
aSet0(stldt0(xA)),
inference(cnf_transformation,[],[f209]) ).
fof(f596,plain,
spl55_18,
inference(avatar_split_clause,[],[f369,f593]) ).
fof(f369,plain,
aSubsetOf0(xB,cS1395),
inference(cnf_transformation,[],[f209]) ).
fof(f591,plain,
spl55_17,
inference(avatar_split_clause,[],[f363,f588]) ).
fof(f363,plain,
aSubsetOf0(xA,cS1395),
inference(cnf_transformation,[],[f209]) ).
fof(f586,plain,
spl55_16,
inference(avatar_split_clause,[],[f385,f583]) ).
fof(f385,plain,
aInteger0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
aInteger0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntZero) ).
fof(f581,plain,
spl55_15,
inference(avatar_split_clause,[],[f384,f578]) ).
fof(f384,plain,
aInteger0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
aInteger0(sz10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntOne) ).
fof(f576,plain,
( ~ spl55_3
| spl55_14 ),
inference(avatar_split_clause,[],[f277,f573,f518]) ).
fof(f277,plain,
( sP8
| ~ sP13 ),
inference(cnf_transformation,[],[f147]) ).
fof(f571,plain,
( ~ spl55_3
| spl55_13 ),
inference(avatar_split_clause,[],[f275,f568,f518]) ).
fof(f275,plain,
( sP6
| ~ sP13 ),
inference(cnf_transformation,[],[f147]) ).
fof(f566,plain,
( ~ spl55_2
| spl55_12 ),
inference(avatar_split_clause,[],[f286,f563,f514]) ).
fof(f286,plain,
( sP5
| ~ sP12 ),
inference(cnf_transformation,[],[f148]) ).
fof(f561,plain,
( ~ spl55_1
| spl55_11 ),
inference(avatar_split_clause,[],[f289,f558,f510]) ).
fof(f558,plain,
( spl55_11
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl55_11])]) ).
fof(f289,plain,
( sP0
| ~ sP11 ),
inference(cnf_transformation,[],[f149]) ).
fof(f556,plain,
( ~ spl55_2
| spl55_10 ),
inference(avatar_split_clause,[],[f285,f553,f514]) ).
fof(f553,plain,
( spl55_10
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl55_10])]) ).
fof(f285,plain,
( sP4
| ~ sP12 ),
inference(cnf_transformation,[],[f148]) ).
fof(f551,plain,
( ~ spl55_2
| spl55_9 ),
inference(avatar_split_clause,[],[f283,f548,f514]) ).
fof(f548,plain,
( spl55_9
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl55_9])]) ).
fof(f283,plain,
( sP3
| ~ sP12 ),
inference(cnf_transformation,[],[f148]) ).
fof(f546,plain,
spl55_8,
inference(avatar_split_clause,[],[f383,f543]) ).
fof(f543,plain,
( spl55_8
<=> isClosed0(xB) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_8])]) ).
fof(f383,plain,
isClosed0(xB),
inference(cnf_transformation,[],[f209]) ).
fof(f541,plain,
spl55_7,
inference(avatar_split_clause,[],[f376,f538]) ).
fof(f538,plain,
( spl55_7
<=> isClosed0(xA) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_7])]) ).
fof(f376,plain,
isClosed0(xA),
inference(cnf_transformation,[],[f209]) ).
fof(f536,plain,
spl55_6,
inference(avatar_split_clause,[],[f367,f533]) ).
fof(f367,plain,
aSet0(xB),
inference(cnf_transformation,[],[f209]) ).
fof(f531,plain,
spl55_5,
inference(avatar_split_clause,[],[f364,f528]) ).
fof(f364,plain,
aSet0(cS1395),
inference(cnf_transformation,[],[f209]) ).
fof(f526,plain,
spl55_4,
inference(avatar_split_clause,[],[f361,f523]) ).
fof(f361,plain,
aSet0(xA),
inference(cnf_transformation,[],[f209]) ).
fof(f521,plain,
( spl55_1
| spl55_2
| spl55_3 ),
inference(avatar_split_clause,[],[f325,f518,f514,f510]) ).
fof(f325,plain,
( sP13
| sP12
| sP11 ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
( sP13
| sP12
| sP11 ),
inference(definition_folding,[],[f51,f117,f116,f115,f114,f113,f112,f111,f110,f109,f108,f107,f106,f105,f104]) ).
fof(f104,plain,
( ! [X8] :
( aElementOf0(X8,stldt0(xA))
<=> ( ~ aElementOf0(X8,xA)
& aInteger0(X8) ) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f105,plain,
( ! [X9] :
( aElementOf0(X9,cS1395)
<=> aInteger0(X9) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f107,plain,
( ! [X5] :
( aElementOf0(X5,stldt0(xB))
<=> ( ~ aElementOf0(X5,xB)
& aInteger0(X5) ) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f108,plain,
( ! [X6] :
( aElementOf0(X6,cS1395)
<=> aInteger0(X6) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f113,plain,
( ! [X2] :
( aElementOf0(X2,stldt0(xA))
<=> ( ~ aElementOf0(X2,xA)
& aInteger0(X2) ) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f114,plain,
( ! [X3] :
( aElementOf0(X3,stldt0(xB))
<=> ( ~ aElementOf0(X3,xB)
& aInteger0(X3) ) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f51,plain,
( ( stldt0(sdtbsmnsldt0(xA,xB)) != sdtslmnbsdt0(stldt0(xA),stldt0(xB))
& ? [X4] :
( aElementOf0(X4,stldt0(sdtbsmnsldt0(xA,xB)))
<~> ( aElementOf0(X4,stldt0(xB))
& aElementOf0(X4,stldt0(xA))
& aInteger0(X4) ) )
& ! [X3] :
( aElementOf0(X3,stldt0(xB))
<=> ( ~ aElementOf0(X3,xB)
& aInteger0(X3) ) )
& ! [X2] :
( aElementOf0(X2,stldt0(xA))
<=> ( ~ aElementOf0(X2,xA)
& aInteger0(X2) ) )
& ! [X1] :
( aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( ~ aElementOf0(X1,sdtbsmnsldt0(xA,xB))
& aInteger0(X1) ) )
& aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
& ! [X0] :
( aElementOf0(X0,sdtbsmnsldt0(xA,xB))
<=> ( ( aElementOf0(X0,xB)
| aElementOf0(X0,xA) )
& aInteger0(X0) ) )
& aSet0(sdtbsmnsldt0(xA,xB)) )
| ( ~ aSubsetOf0(stldt0(xB),cS1395)
& ? [X7] :
( ~ aElementOf0(X7,cS1395)
& aElementOf0(X7,stldt0(xB)) )
& ! [X6] :
( aElementOf0(X6,cS1395)
<=> aInteger0(X6) )
& aSet0(cS1395)
& ! [X5] :
( aElementOf0(X5,stldt0(xB))
<=> ( ~ aElementOf0(X5,xB)
& aInteger0(X5) ) )
& aSet0(stldt0(xB)) )
| ( ~ aSubsetOf0(stldt0(xA),cS1395)
& ? [X10] :
( ~ aElementOf0(X10,cS1395)
& aElementOf0(X10,stldt0(xA)) )
& ! [X9] :
( aElementOf0(X9,cS1395)
<=> aInteger0(X9) )
& aSet0(cS1395)
& ! [X8] :
( aElementOf0(X8,stldt0(xA))
<=> ( ~ aElementOf0(X8,xA)
& aInteger0(X8) ) )
& aSet0(stldt0(xA)) ) ),
inference(flattening,[],[f50]) ).
fof(f50,plain,
( ( stldt0(sdtbsmnsldt0(xA,xB)) != sdtslmnbsdt0(stldt0(xA),stldt0(xB))
& ? [X4] :
( aElementOf0(X4,stldt0(sdtbsmnsldt0(xA,xB)))
<~> ( aElementOf0(X4,stldt0(xB))
& aElementOf0(X4,stldt0(xA))
& aInteger0(X4) ) )
& ! [X3] :
( aElementOf0(X3,stldt0(xB))
<=> ( ~ aElementOf0(X3,xB)
& aInteger0(X3) ) )
& ! [X2] :
( aElementOf0(X2,stldt0(xA))
<=> ( ~ aElementOf0(X2,xA)
& aInteger0(X2) ) )
& ! [X1] :
( aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( ~ aElementOf0(X1,sdtbsmnsldt0(xA,xB))
& aInteger0(X1) ) )
& aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
& ! [X0] :
( aElementOf0(X0,sdtbsmnsldt0(xA,xB))
<=> ( ( aElementOf0(X0,xB)
| aElementOf0(X0,xA) )
& aInteger0(X0) ) )
& aSet0(sdtbsmnsldt0(xA,xB)) )
| ( ~ aSubsetOf0(stldt0(xB),cS1395)
& ? [X7] :
( ~ aElementOf0(X7,cS1395)
& aElementOf0(X7,stldt0(xB)) )
& ! [X6] :
( aElementOf0(X6,cS1395)
<=> aInteger0(X6) )
& aSet0(cS1395)
& ! [X5] :
( aElementOf0(X5,stldt0(xB))
<=> ( ~ aElementOf0(X5,xB)
& aInteger0(X5) ) )
& aSet0(stldt0(xB)) )
| ( ~ aSubsetOf0(stldt0(xA),cS1395)
& ? [X10] :
( ~ aElementOf0(X10,cS1395)
& aElementOf0(X10,stldt0(xA)) )
& ! [X9] :
( aElementOf0(X9,cS1395)
<=> aInteger0(X9) )
& aSet0(cS1395)
& ! [X8] :
( aElementOf0(X8,stldt0(xA))
<=> ( ~ aElementOf0(X8,xA)
& aInteger0(X8) ) )
& aSet0(stldt0(xA)) ) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,plain,
~ ( ( ( ! [X0] :
( aElementOf0(X0,sdtbsmnsldt0(xA,xB))
<=> ( ( aElementOf0(X0,xB)
| aElementOf0(X0,xA) )
& aInteger0(X0) ) )
& aSet0(sdtbsmnsldt0(xA,xB)) )
=> ( ( ! [X1] :
( aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( ~ aElementOf0(X1,sdtbsmnsldt0(xA,xB))
& aInteger0(X1) ) )
& aSet0(stldt0(sdtbsmnsldt0(xA,xB))) )
=> ( ! [X2] :
( aElementOf0(X2,stldt0(xA))
<=> ( ~ aElementOf0(X2,xA)
& aInteger0(X2) ) )
=> ( ! [X3] :
( aElementOf0(X3,stldt0(xB))
<=> ( ~ aElementOf0(X3,xB)
& aInteger0(X3) ) )
=> ( stldt0(sdtbsmnsldt0(xA,xB)) = sdtslmnbsdt0(stldt0(xA),stldt0(xB))
| ! [X4] :
( aElementOf0(X4,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( aElementOf0(X4,stldt0(xB))
& aElementOf0(X4,stldt0(xA))
& aInteger0(X4) ) ) ) ) ) ) )
& ( ( ! [X5] :
( aElementOf0(X5,stldt0(xB))
<=> ( ~ aElementOf0(X5,xB)
& aInteger0(X5) ) )
& aSet0(stldt0(xB)) )
=> ( ( ! [X6] :
( aElementOf0(X6,cS1395)
<=> aInteger0(X6) )
& aSet0(cS1395) )
=> ( aSubsetOf0(stldt0(xB),cS1395)
| ! [X7] :
( aElementOf0(X7,stldt0(xB))
=> aElementOf0(X7,cS1395) ) ) ) )
& ( ( ! [X8] :
( aElementOf0(X8,stldt0(xA))
<=> ( ~ aElementOf0(X8,xA)
& aInteger0(X8) ) )
& aSet0(stldt0(xA)) )
=> ( ( ! [X9] :
( aElementOf0(X9,cS1395)
<=> aInteger0(X9) )
& aSet0(cS1395) )
=> ( aSubsetOf0(stldt0(xA),cS1395)
| ! [X10] :
( aElementOf0(X10,stldt0(xA))
=> aElementOf0(X10,cS1395) ) ) ) ) ),
inference(rectify,[],[f41]) ).
fof(f41,negated_conjecture,
~ ( ( ( ! [X0] :
( aElementOf0(X0,sdtbsmnsldt0(xA,xB))
<=> ( ( aElementOf0(X0,xB)
| aElementOf0(X0,xA) )
& aInteger0(X0) ) )
& aSet0(sdtbsmnsldt0(xA,xB)) )
=> ( ( ! [X0] :
( aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( ~ aElementOf0(X0,sdtbsmnsldt0(xA,xB))
& aInteger0(X0) ) )
& aSet0(stldt0(sdtbsmnsldt0(xA,xB))) )
=> ( ! [X0] :
( aElementOf0(X0,stldt0(xA))
<=> ( ~ aElementOf0(X0,xA)
& aInteger0(X0) ) )
=> ( ! [X0] :
( aElementOf0(X0,stldt0(xB))
<=> ( ~ aElementOf0(X0,xB)
& aInteger0(X0) ) )
=> ( stldt0(sdtbsmnsldt0(xA,xB)) = sdtslmnbsdt0(stldt0(xA),stldt0(xB))
| ! [X0] :
( aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( aElementOf0(X0,stldt0(xB))
& aElementOf0(X0,stldt0(xA))
& aInteger0(X0) ) ) ) ) ) ) )
& ( ( ! [X0] :
( aElementOf0(X0,stldt0(xB))
<=> ( ~ aElementOf0(X0,xB)
& aInteger0(X0) ) )
& aSet0(stldt0(xB)) )
=> ( ( ! [X0] :
( aElementOf0(X0,cS1395)
<=> aInteger0(X0) )
& aSet0(cS1395) )
=> ( aSubsetOf0(stldt0(xB),cS1395)
| ! [X0] :
( aElementOf0(X0,stldt0(xB))
=> aElementOf0(X0,cS1395) ) ) ) )
& ( ( ! [X0] :
( aElementOf0(X0,stldt0(xA))
<=> ( ~ aElementOf0(X0,xA)
& aInteger0(X0) ) )
& aSet0(stldt0(xA)) )
=> ( ( ! [X0] :
( aElementOf0(X0,cS1395)
<=> aInteger0(X0) )
& aSet0(cS1395) )
=> ( aSubsetOf0(stldt0(xA),cS1395)
| ! [X0] :
( aElementOf0(X0,stldt0(xA))
=> aElementOf0(X0,cS1395) ) ) ) ) ),
inference(negated_conjecture,[],[f40]) ).
fof(f40,conjecture,
( ( ( ! [X0] :
( aElementOf0(X0,sdtbsmnsldt0(xA,xB))
<=> ( ( aElementOf0(X0,xB)
| aElementOf0(X0,xA) )
& aInteger0(X0) ) )
& aSet0(sdtbsmnsldt0(xA,xB)) )
=> ( ( ! [X0] :
( aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( ~ aElementOf0(X0,sdtbsmnsldt0(xA,xB))
& aInteger0(X0) ) )
& aSet0(stldt0(sdtbsmnsldt0(xA,xB))) )
=> ( ! [X0] :
( aElementOf0(X0,stldt0(xA))
<=> ( ~ aElementOf0(X0,xA)
& aInteger0(X0) ) )
=> ( ! [X0] :
( aElementOf0(X0,stldt0(xB))
<=> ( ~ aElementOf0(X0,xB)
& aInteger0(X0) ) )
=> ( stldt0(sdtbsmnsldt0(xA,xB)) = sdtslmnbsdt0(stldt0(xA),stldt0(xB))
| ! [X0] :
( aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( aElementOf0(X0,stldt0(xB))
& aElementOf0(X0,stldt0(xA))
& aInteger0(X0) ) ) ) ) ) ) )
& ( ( ! [X0] :
( aElementOf0(X0,stldt0(xB))
<=> ( ~ aElementOf0(X0,xB)
& aInteger0(X0) ) )
& aSet0(stldt0(xB)) )
=> ( ( ! [X0] :
( aElementOf0(X0,cS1395)
<=> aInteger0(X0) )
& aSet0(cS1395) )
=> ( aSubsetOf0(stldt0(xB),cS1395)
| ! [X0] :
( aElementOf0(X0,stldt0(xB))
=> aElementOf0(X0,cS1395) ) ) ) )
& ( ( ! [X0] :
( aElementOf0(X0,stldt0(xA))
<=> ( ~ aElementOf0(X0,xA)
& aInteger0(X0) ) )
& aSet0(stldt0(xA)) )
=> ( ( ! [X0] :
( aElementOf0(X0,cS1395)
<=> aInteger0(X0) )
& aSet0(cS1395) )
=> ( aSubsetOf0(stldt0(xA),cS1395)
| ! [X0] :
( aElementOf0(X0,stldt0(xA))
=> aElementOf0(X0,cS1395) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM440+6 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n006.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 14:58:08 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % (24267)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (24274)WARNING: value z3 for option sas not known
% 0.15/0.37 % (24273)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.37 % (24271)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.37 % (24276)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)
% 0.15/0.37 % (24277)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)
% 0.15/0.37 % (24278)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)
% 0.15/0.37 % (24274)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)
% 0.15/0.38 % (24275)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.40 TRYING [1]
% 0.21/0.40 TRYING [2]
% 0.21/0.42 TRYING [3]
% 0.21/0.48 TRYING [4]
% 1.39/0.58 TRYING [5]
% 1.39/0.59 TRYING [1]
% 1.39/0.61 TRYING [2]
% 2.01/0.67 % (24276)First to succeed.
% 2.41/0.69 % (24276)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-24267"
% 2.41/0.69 % (24276)Refutation found. Thanks to Tanya!
% 2.41/0.69 % SZS status Theorem for theBenchmark
% 2.41/0.69 % SZS output start Proof for theBenchmark
% See solution above
% 2.41/0.71 % (24276)------------------------------
% 2.41/0.71 % (24276)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.41/0.71 % (24276)Termination reason: Refutation
% 2.41/0.71
% 2.41/0.71 % (24276)Memory used [KB]: 8472
% 2.41/0.71 % (24276)Time elapsed: 0.321 s
% 2.41/0.71 % (24276)Instructions burned: 815 (million)
% 2.41/0.71 % (24267)Success in time 0.335 s
%------------------------------------------------------------------------------