TSTP Solution File: NUM441+6 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM441+6 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n002.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 : Fri Sep 1 20:16:47 EDT 2023
% Result : Theorem 3.11s 0.90s
% Output : Refutation 3.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 762
% Syntax : Number of formulae : 2445 ( 228 unt; 0 def)
% Number of atoms : 10032 ( 838 equ)
% Maximal formula atoms : 67 ( 4 avg)
% Number of connectives : 12583 (4996 ~;5569 |;1109 &)
% ( 802 <=>; 107 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 716 ( 714 usr; 682 prp; 0-3 aty)
% Number of functors : 34 ( 34 usr; 6 con; 0-3 aty)
% Number of variables : 3214 (;3083 !; 131 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12603,plain,
$false,
inference(avatar_sat_refutation,[],[f490,f495,f500,f505,f510,f514,f518,f522,f526,f532,f537,f542,f547,f552,f557,f562,f567,f571,f575,f579,f585,f589,f597,f602,f607,f612,f617,f622,f627,f633,f637,f644,f649,f653,f658,f665,f669,f674,f678,f682,f686,f690,f695,f699,f703,f718,f722,f726,f730,f734,f738,f742,f746,f750,f754,f758,f762,f766,f770,f774,f779,f795,f799,f803,f807,f815,f819,f823,f828,f832,f836,f840,f844,f848,f852,f856,f860,f864,f868,f873,f908,f929,f933,f937,f941,f945,f949,f953,f958,f962,f966,f970,f974,f978,f982,f1001,f1045,f1050,f1054,f1066,f1070,f1074,f1078,f1082,f1086,f1090,f1095,f1099,f1103,f1107,f1111,f1115,f1119,f1123,f1127,f1131,f1202,f1222,f1226,f1231,f1246,f1250,f1254,f1258,f1262,f1266,f1270,f1274,f1280,f1284,f1288,f1292,f1296,f1300,f1308,f1312,f1316,f1320,f1324,f1328,f1332,f1336,f1340,f1346,f1395,f1399,f1403,f1407,f1411,f1415,f1419,f1424,f1428,f1432,f1436,f1440,f1444,f1524,f1528,f1532,f1540,f1544,f1548,f1552,f1556,f1560,f1564,f1568,f1572,f1576,f1581,f1684,f1688,f1692,f1696,f1700,f1704,f1782,f1786,f1790,f1794,f1798,f1803,f1807,f1811,f1815,f1819,f1823,f1827,f1831,f1835,f1839,f1943,f1954,f1958,f1962,f1967,f1971,f2101,f2105,f2109,f2114,f2118,f2122,f2126,f2194,f2199,f2203,f2207,f2211,f2215,f2219,f2324,f2328,f2332,f2336,f2369,f2374,f2422,f2521,f2528,f2532,f2536,f2541,f2561,f2594,f2599,f2608,f2613,f2618,f2627,f2636,f2657,f2661,f2665,f2717,f2722,f2727,f2732,f2737,f2745,f2754,f2775,f2780,f2784,f2788,f2844,f2857,f2878,f2884,f2905,f2909,f2913,f2985,f3011,f3032,f3053,f3058,f3079,f3083,f3136,f3145,f3153,f3174,f3200,f3221,f3225,f3229,f3234,f3239,f3244,f3249,f3254,f3259,f3264,f3268,f3272,f3277,f3310,f3323,f3358,f3362,f3382,f3390,f3396,f3402,f3406,f3423,f3433,f3439,f3444,f3457,f3462,f3466,f3470,f3524,f3533,f3549,f3553,f3626,f3630,f3634,f3638,f3642,f3646,f3650,f3692,f3701,f3706,f3715,f3720,f3725,f3734,f3744,f3781,f3790,f3812,f3816,f3820,f3913,f3918,f3923,f3928,f3933,f3937,f3943,f3979,f3985,f3991,f3995,f4000,f4004,f4024,f4034,f4038,f4042,f4046,f4205,f4215,f4225,f4248,f4252,f4256,f4260,f4264,f4268,f4273,f4277,f4281,f4350,f4383,f4387,f4434,f4444,f4448,f4453,f4525,f4568,f4572,f4576,f4616,f4626,f4631,f4635,f4639,f4673,f4677,f4765,f4769,f4773,f4777,f4782,f4786,f4790,f4794,f4798,f4802,f4806,f4810,f4814,f4818,f4822,f4827,f4831,f4835,f4843,f4848,f4852,f4856,f4860,f4864,f4902,f5022,f5188,f5192,f5214,f5218,f5222,f5502,f5513,f5522,f5533,f5546,f5550,f5554,f5558,f5562,f5566,f5570,f5574,f5587,f5591,f5595,f5599,f5678,f5755,f5808,f5821,f5826,f5835,f5848,f5853,f5857,f5892,f5902,f5906,f5910,f5914,f5918,f5954,f6082,f6086,f6090,f6094,f6098,f6102,f6115,f6119,f6123,f6127,f6131,f6436,f6443,f6452,f6456,f6460,f6501,f6550,f6567,f6571,f6575,f6579,f6583,f6587,f6591,f6595,f6599,f6603,f6608,f6612,f6616,f6620,f6624,f6629,f6835,f6840,f6844,f6920,f6924,f6928,f6932,f6936,f6940,f6944,f6949,f6953,f6957,f6961,f6965,f6969,f6973,f6977,f6981,f6985,f6989,f6994,f6998,f7002,f7006,f7010,f7014,f7147,f7412,f7483,f7499,f7504,f7557,f7573,f7626,f7636,f7646,f7660,f7711,f7762,f7838,f7842,f7846,f7860,f7864,f7868,f7872,f7876,f7880,f7884,f8428,f8441,f8456,f8469,f8474,f8478,f8482,f8486,f8490,f8496,f8500,f8504,f8508,f8512,f8516,f8520,f8524,f8924,f8928,f8932,f8936,f8940,f8944,f8948,f8952,f8956,f8962,f8966,f8970,f8974,f8978,f8982,f8986,f8990,f8994,f8998,f9003,f9007,f9011,f9015,f9019,f9023,f9027,f9031,f9035,f9039,f9043,f9048,f9052,f9056,f9553,f9786,f9790,f9794,f9798,f9802,f9807,f9811,f9815,f9819,f9823,f9828,f9832,f9836,f9840,f9844,f9849,f9853,f9857,f9861,f10055,f10510,f10515,f10519,f10523,f10527,f10531,f10535,f10539,f10543,f10547,f10551,f10555,f10574,f10578,f10582,f10586,f10590,f11166,f11182,f11198,f11202,f11206,f11210,f11214,f11220,f11224,f11228,f11232,f11236,f11240,f11244,f11248,f11252,f11256,f11260,f11264,f11268,f11272,f11276,f11280,f11284,f11288,f11292,f11296,f11300,f11304,f11308,f11312,f11316,f11320,f11324,f11328,f11597,f11626,f11849,f11853,f11857,f11861,f11865,f11870,f11874,f11878,f11882,f12298,f12302,f12306,f12310,f12314,f12318,f12322,f12326,f12463,f12602]) ).
fof(f12602,plain,
( ~ spl45_32
| ~ spl45_33
| ~ spl45_27
| ~ spl45_29
| spl45_4
| ~ spl45_120
| ~ spl45_177 ),
inference(avatar_split_clause,[],[f1778,f1702,f1228,f502,f624,f614,f646,f641]) ).
fof(f641,plain,
( spl45_32
<=> aSubsetOf0(stldt0(xA),cS1395) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_32])]) ).
fof(f646,plain,
( spl45_33
<=> aSubsetOf0(stldt0(xB),cS1395) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_33])]) ).
fof(f614,plain,
( spl45_27
<=> isOpen0(stldt0(xA)) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_27])]) ).
fof(f624,plain,
( spl45_29
<=> isOpen0(stldt0(xB)) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_29])]) ).
fof(f502,plain,
( spl45_4
<=> isOpen0(stldt0(sdtbsmnsldt0(xA,xB))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_4])]) ).
fof(f1228,plain,
( spl45_120
<=> stldt0(sdtbsmnsldt0(xA,xB)) = sdtslmnbsdt0(stldt0(xA),stldt0(xB)) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_120])]) ).
fof(f1702,plain,
( spl45_177
<=> ! [X0,X1] :
( isOpen0(sdtslmnbsdt0(X0,X1))
| ~ isOpen0(X1)
| ~ isOpen0(X0)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_177])]) ).
fof(f1778,plain,
( isOpen0(stldt0(sdtbsmnsldt0(xA,xB)))
| ~ isOpen0(stldt0(xB))
| ~ isOpen0(stldt0(xA))
| ~ aSubsetOf0(stldt0(xB),cS1395)
| ~ aSubsetOf0(stldt0(xA),cS1395)
| ~ spl45_120
| ~ spl45_177 ),
inference(superposition,[],[f1703,f1230]) ).
fof(f1230,plain,
( stldt0(sdtbsmnsldt0(xA,xB)) = sdtslmnbsdt0(stldt0(xA),stldt0(xB))
| ~ spl45_120 ),
inference(avatar_component_clause,[],[f1228]) ).
fof(f1703,plain,
( ! [X0,X1] :
( isOpen0(sdtslmnbsdt0(X0,X1))
| ~ isOpen0(X1)
| ~ isOpen0(X0)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) )
| ~ spl45_177 ),
inference(avatar_component_clause,[],[f1702]) ).
fof(f12463,plain,
( spl45_681
| ~ spl45_16
| ~ spl45_644 ),
inference(avatar_split_clause,[],[f12201,f11258,f559,f12460]) ).
fof(f12460,plain,
( spl45_681
<=> sz00 = sdtasdt0(sdtpldt0(sK26,sz10),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_681])]) ).
fof(f559,plain,
( spl45_16
<=> aInteger0(sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_16])]) ).
fof(f11258,plain,
( spl45_644
<=> ! [X14] :
( ~ aInteger0(X14)
| sz00 = sdtasdt0(sdtpldt0(sK26,X14),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_644])]) ).
fof(f12201,plain,
( sz00 = sdtasdt0(sdtpldt0(sK26,sz10),sz00)
| ~ spl45_16
| ~ spl45_644 ),
inference(resolution,[],[f11259,f561]) ).
fof(f561,plain,
( aInteger0(sz10)
| ~ spl45_16 ),
inference(avatar_component_clause,[],[f559]) ).
fof(f11259,plain,
( ! [X14] :
( ~ aInteger0(X14)
| sz00 = sdtasdt0(sdtpldt0(sK26,X14),sz00) )
| ~ spl45_644 ),
inference(avatar_component_clause,[],[f11258]) ).
fof(f12326,plain,
( spl45_680
| ~ spl45_59
| ~ spl45_163 ),
inference(avatar_split_clause,[],[f1614,f1546,f768,f12324]) ).
fof(f12324,plain,
( spl45_680
<=> ! [X6,X5] :
( sdteqdtlpzmzozddtrp0(sK34(szAzrzSzezqlpdtcmdtrp0(X5,X6)),X5,X6)
| ~ sP5(X6,X5,sK34(szAzrzSzezqlpdtcmdtrp0(X5,X6)))
| sP14(szAzrzSzezqlpdtcmdtrp0(X5,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_680])]) ).
fof(f768,plain,
( spl45_59
<=> ! [X0] :
( sP14(X0)
| aElementOf0(sK34(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_59])]) ).
fof(f1546,plain,
( spl45_163
<=> ! [X2,X0,X1] :
( sdteqdtlpzmzozddtrp0(X2,X1,X0)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ~ sP5(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_163])]) ).
fof(f1614,plain,
( ! [X6,X5] :
( sdteqdtlpzmzozddtrp0(sK34(szAzrzSzezqlpdtcmdtrp0(X5,X6)),X5,X6)
| ~ sP5(X6,X5,sK34(szAzrzSzezqlpdtcmdtrp0(X5,X6)))
| sP14(szAzrzSzezqlpdtcmdtrp0(X5,X6)) )
| ~ spl45_59
| ~ spl45_163 ),
inference(resolution,[],[f1547,f769]) ).
fof(f769,plain,
( ! [X0] :
( aElementOf0(sK34(X0),X0)
| sP14(X0) )
| ~ spl45_59 ),
inference(avatar_component_clause,[],[f768]) ).
fof(f1547,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| sdteqdtlpzmzozddtrp0(X2,X1,X0)
| ~ sP5(X0,X1,X2) )
| ~ spl45_163 ),
inference(avatar_component_clause,[],[f1546]) ).
fof(f12322,plain,
( spl45_679
| ~ spl45_59
| ~ spl45_162 ),
inference(avatar_split_clause,[],[f1608,f1542,f768,f12320]) ).
fof(f12320,plain,
( spl45_679
<=> ! [X6,X5] :
( sP4(X5,X6,sK34(szAzrzSzezqlpdtcmdtrp0(X6,X5)))
| ~ sP5(X5,X6,sK34(szAzrzSzezqlpdtcmdtrp0(X6,X5)))
| sP14(szAzrzSzezqlpdtcmdtrp0(X6,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_679])]) ).
fof(f1542,plain,
( spl45_162
<=> ! [X2,X0,X1] :
( sP4(X0,X1,X2)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ~ sP5(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_162])]) ).
fof(f1608,plain,
( ! [X6,X5] :
( sP4(X5,X6,sK34(szAzrzSzezqlpdtcmdtrp0(X6,X5)))
| ~ sP5(X5,X6,sK34(szAzrzSzezqlpdtcmdtrp0(X6,X5)))
| sP14(szAzrzSzezqlpdtcmdtrp0(X6,X5)) )
| ~ spl45_59
| ~ spl45_162 ),
inference(resolution,[],[f1543,f769]) ).
fof(f1543,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| sP4(X0,X1,X2)
| ~ sP5(X0,X1,X2) )
| ~ spl45_162 ),
inference(avatar_component_clause,[],[f1542]) ).
fof(f12318,plain,
( spl45_678
| ~ spl45_59
| ~ spl45_161 ),
inference(avatar_split_clause,[],[f1602,f1538,f768,f12316]) ).
fof(f12316,plain,
( spl45_678
<=> ! [X6,X5] :
( sdteqdtlpzmzozddtrp0(sK34(szAzrzSzezqlpdtcmdtrp0(X5,X6)),X5,X6)
| ~ sP9(X6,X5,sK34(szAzrzSzezqlpdtcmdtrp0(X5,X6)))
| sP14(szAzrzSzezqlpdtcmdtrp0(X5,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_678])]) ).
fof(f1538,plain,
( spl45_161
<=> ! [X2,X0,X1] :
( sdteqdtlpzmzozddtrp0(X2,X1,X0)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ~ sP9(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_161])]) ).
fof(f1602,plain,
( ! [X6,X5] :
( sdteqdtlpzmzozddtrp0(sK34(szAzrzSzezqlpdtcmdtrp0(X5,X6)),X5,X6)
| ~ sP9(X6,X5,sK34(szAzrzSzezqlpdtcmdtrp0(X5,X6)))
| sP14(szAzrzSzezqlpdtcmdtrp0(X5,X6)) )
| ~ spl45_59
| ~ spl45_161 ),
inference(resolution,[],[f1539,f769]) ).
fof(f1539,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| sdteqdtlpzmzozddtrp0(X2,X1,X0)
| ~ sP9(X0,X1,X2) )
| ~ spl45_161 ),
inference(avatar_component_clause,[],[f1538]) ).
fof(f12314,plain,
( spl45_677
| ~ spl45_59
| ~ spl45_160 ),
inference(avatar_split_clause,[],[f1596,f1530,f768,f12312]) ).
fof(f12312,plain,
( spl45_677
<=> ! [X6,X5] :
( sP8(X5,X6,sK34(szAzrzSzezqlpdtcmdtrp0(X6,X5)))
| ~ sP9(X5,X6,sK34(szAzrzSzezqlpdtcmdtrp0(X6,X5)))
| sP14(szAzrzSzezqlpdtcmdtrp0(X6,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_677])]) ).
fof(f1530,plain,
( spl45_160
<=> ! [X2,X0,X1] :
( sP8(X0,X1,X2)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ~ sP9(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_160])]) ).
fof(f1596,plain,
( ! [X6,X5] :
( sP8(X5,X6,sK34(szAzrzSzezqlpdtcmdtrp0(X6,X5)))
| ~ sP9(X5,X6,sK34(szAzrzSzezqlpdtcmdtrp0(X6,X5)))
| sP14(szAzrzSzezqlpdtcmdtrp0(X6,X5)) )
| ~ spl45_59
| ~ spl45_160 ),
inference(resolution,[],[f1531,f769]) ).
fof(f1531,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| sP8(X0,X1,X2)
| ~ sP9(X0,X1,X2) )
| ~ spl45_160 ),
inference(avatar_component_clause,[],[f1530]) ).
fof(f12310,plain,
( spl45_676
| ~ spl45_59
| ~ spl45_159 ),
inference(avatar_split_clause,[],[f1590,f1526,f768,f12308]) ).
fof(f12308,plain,
( spl45_676
<=> ! [X6,X5] :
( sdteqdtlpzmzozddtrp0(sK34(szAzrzSzezqlpdtcmdtrp0(X5,X6)),X5,X6)
| ~ sP1(X6,X5,sK34(szAzrzSzezqlpdtcmdtrp0(X5,X6)))
| sP14(szAzrzSzezqlpdtcmdtrp0(X5,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_676])]) ).
fof(f1526,plain,
( spl45_159
<=> ! [X2,X0,X1] :
( sdteqdtlpzmzozddtrp0(X2,X1,X0)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ~ sP1(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_159])]) ).
fof(f1590,plain,
( ! [X6,X5] :
( sdteqdtlpzmzozddtrp0(sK34(szAzrzSzezqlpdtcmdtrp0(X5,X6)),X5,X6)
| ~ sP1(X6,X5,sK34(szAzrzSzezqlpdtcmdtrp0(X5,X6)))
| sP14(szAzrzSzezqlpdtcmdtrp0(X5,X6)) )
| ~ spl45_59
| ~ spl45_159 ),
inference(resolution,[],[f1527,f769]) ).
fof(f1527,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| sdteqdtlpzmzozddtrp0(X2,X1,X0)
| ~ sP1(X0,X1,X2) )
| ~ spl45_159 ),
inference(avatar_component_clause,[],[f1526]) ).
fof(f12306,plain,
( spl45_675
| ~ spl45_59
| ~ spl45_158 ),
inference(avatar_split_clause,[],[f1584,f1522,f768,f12304]) ).
fof(f12304,plain,
( spl45_675
<=> ! [X6,X5] :
( sP0(X5,X6,sK34(szAzrzSzezqlpdtcmdtrp0(X6,X5)))
| ~ sP1(X5,X6,sK34(szAzrzSzezqlpdtcmdtrp0(X6,X5)))
| sP14(szAzrzSzezqlpdtcmdtrp0(X6,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_675])]) ).
fof(f1522,plain,
( spl45_158
<=> ! [X2,X0,X1] :
( sP0(X0,X1,X2)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ~ sP1(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_158])]) ).
fof(f1584,plain,
( ! [X6,X5] :
( sP0(X5,X6,sK34(szAzrzSzezqlpdtcmdtrp0(X6,X5)))
| ~ sP1(X5,X6,sK34(szAzrzSzezqlpdtcmdtrp0(X6,X5)))
| sP14(szAzrzSzezqlpdtcmdtrp0(X6,X5)) )
| ~ spl45_59
| ~ spl45_158 ),
inference(resolution,[],[f1523,f769]) ).
fof(f1523,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| sP0(X0,X1,X2)
| ~ sP1(X0,X1,X2) )
| ~ spl45_158 ),
inference(avatar_component_clause,[],[f1522]) ).
fof(f12302,plain,
( spl45_674
| ~ spl45_108
| ~ spl45_143 ),
inference(avatar_split_clause,[],[f1391,f1338,f1097,f12300]) ).
fof(f12300,plain,
( spl45_674
<=> ! [X32,X30,X31] :
( sdtpldt0(X30,sK35(X31,X32)) = sdtpldt0(sK35(X31,X32),X30)
| ~ aInteger0(X30)
| ~ aElementOf0(X32,X31)
| ~ sP14(X31) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_674])]) ).
fof(f1097,plain,
( spl45_108
<=> ! [X0,X3] :
( aInteger0(sK35(X0,X3))
| ~ aElementOf0(X3,X0)
| ~ sP14(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_108])]) ).
fof(f1338,plain,
( spl45_143
<=> ! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_143])]) ).
fof(f1391,plain,
( ! [X31,X32,X30] :
( sdtpldt0(X30,sK35(X31,X32)) = sdtpldt0(sK35(X31,X32),X30)
| ~ aInteger0(X30)
| ~ aElementOf0(X32,X31)
| ~ sP14(X31) )
| ~ spl45_108
| ~ spl45_143 ),
inference(resolution,[],[f1339,f1098]) ).
fof(f1098,plain,
( ! [X3,X0] :
( aInteger0(sK35(X0,X3))
| ~ aElementOf0(X3,X0)
| ~ sP14(X0) )
| ~ spl45_108 ),
inference(avatar_component_clause,[],[f1097]) ).
fof(f1339,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aInteger0(X0) )
| ~ spl45_143 ),
inference(avatar_component_clause,[],[f1338]) ).
fof(f12298,plain,
( spl45_673
| ~ spl45_108
| ~ spl45_142 ),
inference(avatar_split_clause,[],[f1378,f1334,f1097,f12296]) ).
fof(f12296,plain,
( spl45_673
<=> ! [X32,X30,X31] :
( sdtasdt0(X30,sK35(X31,X32)) = sdtasdt0(sK35(X31,X32),X30)
| ~ aInteger0(X30)
| ~ aElementOf0(X32,X31)
| ~ sP14(X31) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_673])]) ).
fof(f1334,plain,
( spl45_142
<=> ! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_142])]) ).
fof(f1378,plain,
( ! [X31,X32,X30] :
( sdtasdt0(X30,sK35(X31,X32)) = sdtasdt0(sK35(X31,X32),X30)
| ~ aInteger0(X30)
| ~ aElementOf0(X32,X31)
| ~ sP14(X31) )
| ~ spl45_108
| ~ spl45_142 ),
inference(resolution,[],[f1335,f1098]) ).
fof(f1335,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aInteger0(X0) )
| ~ spl45_142 ),
inference(avatar_component_clause,[],[f1334]) ).
fof(f11882,plain,
( spl45_672
| ~ spl45_51
| ~ spl45_198 ),
inference(avatar_split_clause,[],[f2082,f1969,f736,f11880]) ).
fof(f11880,plain,
( spl45_672
<=> ! [X27,X26] :
( aElementOf0(sK43(stldt0(xB),X26,X27),X27)
| sP22(stldt0(xB),X26,X27)
| sP11(sK43(stldt0(xB),X26,X27)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_672])]) ).
fof(f736,plain,
( spl45_51
<=> ! [X0] :
( sP11(X0)
| ~ aElementOf0(X0,stldt0(xB)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_51])]) ).
fof(f1969,plain,
( spl45_198
<=> ! [X2,X0,X1] :
( sP22(X0,X1,X2)
| aElementOf0(sK43(X0,X1,X2),X0)
| aElementOf0(sK43(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_198])]) ).
fof(f2082,plain,
( ! [X26,X27] :
( aElementOf0(sK43(stldt0(xB),X26,X27),X27)
| sP22(stldt0(xB),X26,X27)
| sP11(sK43(stldt0(xB),X26,X27)) )
| ~ spl45_51
| ~ spl45_198 ),
inference(resolution,[],[f1970,f737]) ).
fof(f737,plain,
( ! [X0] :
( ~ aElementOf0(X0,stldt0(xB))
| sP11(X0) )
| ~ spl45_51 ),
inference(avatar_component_clause,[],[f736]) ).
fof(f1970,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK43(X0,X1,X2),X2)
| aElementOf0(sK43(X0,X1,X2),X0)
| sP22(X0,X1,X2) )
| ~ spl45_198 ),
inference(avatar_component_clause,[],[f1969]) ).
fof(f11878,plain,
( spl45_671
| ~ spl45_49
| ~ spl45_198 ),
inference(avatar_split_clause,[],[f2078,f1969,f728,f11876]) ).
fof(f11876,plain,
( spl45_671
<=> ! [X18,X19] :
( aElementOf0(sK43(stldt0(xA),X18,X19),X19)
| sP22(stldt0(xA),X18,X19)
| sP7(sK43(stldt0(xA),X18,X19)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_671])]) ).
fof(f728,plain,
( spl45_49
<=> ! [X2] :
( sP7(X2)
| ~ aElementOf0(X2,stldt0(xA)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_49])]) ).
fof(f2078,plain,
( ! [X18,X19] :
( aElementOf0(sK43(stldt0(xA),X18,X19),X19)
| sP22(stldt0(xA),X18,X19)
| sP7(sK43(stldt0(xA),X18,X19)) )
| ~ spl45_49
| ~ spl45_198 ),
inference(resolution,[],[f1970,f729]) ).
fof(f729,plain,
( ! [X2] :
( ~ aElementOf0(X2,stldt0(xA))
| sP7(X2) )
| ~ spl45_49 ),
inference(avatar_component_clause,[],[f728]) ).
fof(f11874,plain,
( spl45_670
| ~ spl45_51
| ~ spl45_198 ),
inference(avatar_split_clause,[],[f2054,f1969,f736,f11872]) ).
fof(f11872,plain,
( spl45_670
<=> ! [X27,X26] :
( aElementOf0(sK43(X26,X27,stldt0(xB)),X26)
| sP22(X26,X27,stldt0(xB))
| sP11(sK43(X26,X27,stldt0(xB))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_670])]) ).
fof(f2054,plain,
( ! [X26,X27] :
( aElementOf0(sK43(X26,X27,stldt0(xB)),X26)
| sP22(X26,X27,stldt0(xB))
| sP11(sK43(X26,X27,stldt0(xB))) )
| ~ spl45_51
| ~ spl45_198 ),
inference(resolution,[],[f1970,f737]) ).
fof(f11870,plain,
( spl45_669
| ~ spl45_15
| ~ spl45_463 ),
inference(avatar_split_clause,[],[f6390,f6117,f554,f11867]) ).
fof(f11867,plain,
( spl45_669
<=> smndt0(smndt0(sK26)) = sdtasdt0(smndt0(sK26),smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_669])]) ).
fof(f554,plain,
( spl45_15
<=> aInteger0(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_15])]) ).
fof(f6117,plain,
( spl45_463
<=> ! [X0] :
( smndt0(smndt0(X0)) = sdtasdt0(smndt0(X0),smndt0(sz10))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_463])]) ).
fof(f6390,plain,
( smndt0(smndt0(sK26)) = sdtasdt0(smndt0(sK26),smndt0(sz10))
| ~ spl45_15
| ~ spl45_463 ),
inference(resolution,[],[f6118,f556]) ).
fof(f556,plain,
( aInteger0(sK26)
| ~ spl45_15 ),
inference(avatar_component_clause,[],[f554]) ).
fof(f6118,plain,
( ! [X0] :
( ~ aInteger0(X0)
| smndt0(smndt0(X0)) = sdtasdt0(smndt0(X0),smndt0(sz10)) )
| ~ spl45_463 ),
inference(avatar_component_clause,[],[f6117]) ).
fof(f11865,plain,
( spl45_668
| ~ spl45_49
| ~ spl45_198 ),
inference(avatar_split_clause,[],[f2050,f1969,f728,f11863]) ).
fof(f11863,plain,
( spl45_668
<=> ! [X18,X19] :
( aElementOf0(sK43(X18,X19,stldt0(xA)),X18)
| sP22(X18,X19,stldt0(xA))
| sP7(sK43(X18,X19,stldt0(xA))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_668])]) ).
fof(f2050,plain,
( ! [X18,X19] :
( aElementOf0(sK43(X18,X19,stldt0(xA)),X18)
| sP22(X18,X19,stldt0(xA))
| sP7(sK43(X18,X19,stldt0(xA))) )
| ~ spl45_49
| ~ spl45_198 ),
inference(resolution,[],[f1970,f729]) ).
fof(f11861,plain,
( spl45_667
| ~ spl45_51
| ~ spl45_197 ),
inference(avatar_split_clause,[],[f2025,f1965,f736,f11859]) ).
fof(f11859,plain,
( spl45_667
<=> ! [X27,X26] :
( aElementOf0(sK43(X26,stldt0(xB),X27),X27)
| sP22(X26,stldt0(xB),X27)
| sP11(sK43(X26,stldt0(xB),X27)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_667])]) ).
fof(f1965,plain,
( spl45_197
<=> ! [X2,X0,X1] :
( sP22(X0,X1,X2)
| aElementOf0(sK43(X0,X1,X2),X1)
| aElementOf0(sK43(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_197])]) ).
fof(f2025,plain,
( ! [X26,X27] :
( aElementOf0(sK43(X26,stldt0(xB),X27),X27)
| sP22(X26,stldt0(xB),X27)
| sP11(sK43(X26,stldt0(xB),X27)) )
| ~ spl45_51
| ~ spl45_197 ),
inference(resolution,[],[f1966,f737]) ).
fof(f1966,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK43(X0,X1,X2),X2)
| aElementOf0(sK43(X0,X1,X2),X1)
| sP22(X0,X1,X2) )
| ~ spl45_197 ),
inference(avatar_component_clause,[],[f1965]) ).
fof(f11857,plain,
( spl45_666
| ~ spl45_49
| ~ spl45_197 ),
inference(avatar_split_clause,[],[f2021,f1965,f728,f11855]) ).
fof(f11855,plain,
( spl45_666
<=> ! [X18,X19] :
( aElementOf0(sK43(X18,stldt0(xA),X19),X19)
| sP22(X18,stldt0(xA),X19)
| sP7(sK43(X18,stldt0(xA),X19)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_666])]) ).
fof(f2021,plain,
( ! [X18,X19] :
( aElementOf0(sK43(X18,stldt0(xA),X19),X19)
| sP22(X18,stldt0(xA),X19)
| sP7(sK43(X18,stldt0(xA),X19)) )
| ~ spl45_49
| ~ spl45_197 ),
inference(resolution,[],[f1966,f729]) ).
fof(f11853,plain,
( spl45_665
| ~ spl45_51
| ~ spl45_197 ),
inference(avatar_split_clause,[],[f1997,f1965,f736,f11851]) ).
fof(f11851,plain,
( spl45_665
<=> ! [X27,X26] :
( aElementOf0(sK43(X26,X27,stldt0(xB)),X27)
| sP22(X26,X27,stldt0(xB))
| sP11(sK43(X26,X27,stldt0(xB))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_665])]) ).
fof(f1997,plain,
( ! [X26,X27] :
( aElementOf0(sK43(X26,X27,stldt0(xB)),X27)
| sP22(X26,X27,stldt0(xB))
| sP11(sK43(X26,X27,stldt0(xB))) )
| ~ spl45_51
| ~ spl45_197 ),
inference(resolution,[],[f1966,f737]) ).
fof(f11849,plain,
( spl45_664
| ~ spl45_49
| ~ spl45_197 ),
inference(avatar_split_clause,[],[f1993,f1965,f728,f11847]) ).
fof(f11847,plain,
( spl45_664
<=> ! [X18,X19] :
( aElementOf0(sK43(X18,X19,stldt0(xA)),X19)
| sP22(X18,X19,stldt0(xA))
| sP7(sK43(X18,X19,stldt0(xA))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_664])]) ).
fof(f1993,plain,
( ! [X18,X19] :
( aElementOf0(sK43(X18,X19,stldt0(xA)),X19)
| sP22(X18,X19,stldt0(xA))
| sP7(sK43(X18,X19,stldt0(xA))) )
| ~ spl45_49
| ~ spl45_197 ),
inference(resolution,[],[f1966,f729]) ).
fof(f11626,plain,
( spl45_663
| ~ spl45_15
| ~ spl45_460 ),
inference(avatar_split_clause,[],[f6341,f6096,f554,f11623]) ).
fof(f11623,plain,
( spl45_663
<=> smndt0(smndt0(sK26)) = sdtasdt0(smndt0(sz10),smndt0(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_663])]) ).
fof(f6096,plain,
( spl45_460
<=> ! [X0] :
( smndt0(smndt0(X0)) = sdtasdt0(smndt0(sz10),smndt0(X0))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_460])]) ).
fof(f6341,plain,
( smndt0(smndt0(sK26)) = sdtasdt0(smndt0(sz10),smndt0(sK26))
| ~ spl45_15
| ~ spl45_460 ),
inference(resolution,[],[f6097,f556]) ).
fof(f6097,plain,
( ! [X0] :
( ~ aInteger0(X0)
| smndt0(smndt0(X0)) = sdtasdt0(smndt0(sz10),smndt0(X0)) )
| ~ spl45_460 ),
inference(avatar_component_clause,[],[f6096]) ).
fof(f11597,plain,
( spl45_662
| ~ spl45_15
| ~ spl45_459 ),
inference(avatar_split_clause,[],[f6301,f6092,f554,f11595]) ).
fof(f11595,plain,
( spl45_662
<=> ! [X14] :
( ~ aInteger0(X14)
| sz00 = sdtasdt0(sz00,sdtasdt0(sK26,X14)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_662])]) ).
fof(f6092,plain,
( spl45_459
<=> ! [X4,X5] :
( ~ aInteger0(X4)
| ~ aInteger0(X5)
| sz00 = sdtasdt0(sz00,sdtasdt0(X5,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_459])]) ).
fof(f6301,plain,
( ! [X14] :
( ~ aInteger0(X14)
| sz00 = sdtasdt0(sz00,sdtasdt0(sK26,X14)) )
| ~ spl45_15
| ~ spl45_459 ),
inference(resolution,[],[f6093,f556]) ).
fof(f6093,plain,
( ! [X4,X5] :
( ~ aInteger0(X5)
| ~ aInteger0(X4)
| sz00 = sdtasdt0(sz00,sdtasdt0(X5,X4)) )
| ~ spl45_459 ),
inference(avatar_component_clause,[],[f6092]) ).
fof(f11328,plain,
( spl45_661
| ~ spl45_15
| ~ spl45_458 ),
inference(avatar_split_clause,[],[f6252,f6088,f554,f11326]) ).
fof(f11326,plain,
( spl45_661
<=> ! [X14] :
( ~ aInteger0(X14)
| sz00 = sdtasdt0(sdtasdt0(sK26,X14),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_661])]) ).
fof(f6088,plain,
( spl45_458
<=> ! [X2,X3] :
( ~ aInteger0(X2)
| ~ aInteger0(X3)
| sz00 = sdtasdt0(sdtasdt0(X3,X2),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_458])]) ).
fof(f6252,plain,
( ! [X14] :
( ~ aInteger0(X14)
| sz00 = sdtasdt0(sdtasdt0(sK26,X14),sz00) )
| ~ spl45_15
| ~ spl45_458 ),
inference(resolution,[],[f6089,f556]) ).
fof(f6089,plain,
( ! [X2,X3] :
( ~ aInteger0(X3)
| ~ aInteger0(X2)
| sz00 = sdtasdt0(sdtasdt0(X3,X2),sz00) )
| ~ spl45_458 ),
inference(avatar_component_clause,[],[f6088]) ).
fof(f11324,plain,
( spl45_660
| ~ spl45_16
| ~ spl45_212 ),
inference(avatar_split_clause,[],[f2309,f2217,f559,f11322]) ).
fof(f11322,plain,
( spl45_660
<=> ! [X2,X3] :
( sdtasdt0(sdtpldt0(X2,X3),sz10) = sdtpldt0(sdtasdt0(X2,sz10),sdtasdt0(X3,sz10))
| ~ aInteger0(X3)
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_660])]) ).
fof(f2217,plain,
( spl45_212
<=> ! [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,[spl45_212])]) ).
fof(f2309,plain,
( ! [X2,X3] :
( sdtasdt0(sdtpldt0(X2,X3),sz10) = sdtpldt0(sdtasdt0(X2,sz10),sdtasdt0(X3,sz10))
| ~ aInteger0(X3)
| ~ aInteger0(X2) )
| ~ spl45_16
| ~ spl45_212 ),
inference(resolution,[],[f2218,f561]) ).
fof(f2218,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X2)
| sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl45_212 ),
inference(avatar_component_clause,[],[f2217]) ).
fof(f11320,plain,
( spl45_659
| ~ spl45_17
| ~ spl45_212 ),
inference(avatar_split_clause,[],[f2308,f2217,f564,f11318]) ).
fof(f11318,plain,
( spl45_659
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X1,sz00))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_659])]) ).
fof(f564,plain,
( spl45_17
<=> aInteger0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_17])]) ).
fof(f2308,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X1,sz00))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl45_17
| ~ spl45_212 ),
inference(resolution,[],[f2218,f566]) ).
fof(f566,plain,
( aInteger0(sz00)
| ~ spl45_17 ),
inference(avatar_component_clause,[],[f564]) ).
fof(f11316,plain,
( spl45_658
| ~ spl45_16
| ~ spl45_211 ),
inference(avatar_split_clause,[],[f2285,f2213,f559,f11314]) ).
fof(f11314,plain,
( spl45_658
<=> ! [X2,X3] :
( sdtasdt0(X2,sdtpldt0(X3,sz10)) = sdtpldt0(sdtasdt0(X2,X3),sdtasdt0(X2,sz10))
| ~ aInteger0(X3)
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_658])]) ).
fof(f2213,plain,
( spl45_211
<=> ! [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,[spl45_211])]) ).
fof(f2285,plain,
( ! [X2,X3] :
( sdtasdt0(X2,sdtpldt0(X3,sz10)) = sdtpldt0(sdtasdt0(X2,X3),sdtasdt0(X2,sz10))
| ~ aInteger0(X3)
| ~ aInteger0(X2) )
| ~ spl45_16
| ~ spl45_211 ),
inference(resolution,[],[f2214,f561]) ).
fof(f2214,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X2)
| sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl45_211 ),
inference(avatar_component_clause,[],[f2213]) ).
fof(f11312,plain,
( spl45_657
| ~ spl45_17
| ~ spl45_211 ),
inference(avatar_split_clause,[],[f2284,f2213,f564,f11310]) ).
fof(f11310,plain,
( spl45_657
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sz00)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz00))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_657])]) ).
fof(f2284,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sz00)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz00))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl45_17
| ~ spl45_211 ),
inference(resolution,[],[f2214,f566]) ).
fof(f11308,plain,
( spl45_656
| ~ spl45_146
| ~ spl45_174 ),
inference(avatar_split_clause,[],[f1740,f1690,f1397,f11306]) ).
fof(f11306,plain,
( spl45_656
<=> ! [X29,X30] :
( ~ sdteqdtlpzmzozddtrp0(X29,X30,sK29(X30))
| ~ aInteger0(X29)
| ~ sP6(sK29(X30),X30)
| aElementOf0(X29,stldt0(xA))
| ~ sP7(X30) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_656])]) ).
fof(f1397,plain,
( spl45_146
<=> ! [X2,X0] :
( aElementOf0(X2,stldt0(xA))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,sK29(X0)))
| ~ sP7(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_146])]) ).
fof(f1690,plain,
( spl45_174
<=> ! [X2,X0,X1] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ~ sdteqdtlpzmzozddtrp0(X2,X1,X0)
| ~ aInteger0(X2)
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_174])]) ).
fof(f1740,plain,
( ! [X29,X30] :
( ~ sdteqdtlpzmzozddtrp0(X29,X30,sK29(X30))
| ~ aInteger0(X29)
| ~ sP6(sK29(X30),X30)
| aElementOf0(X29,stldt0(xA))
| ~ sP7(X30) )
| ~ spl45_146
| ~ spl45_174 ),
inference(resolution,[],[f1691,f1398]) ).
fof(f1398,plain,
( ! [X2,X0] :
( ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,sK29(X0)))
| aElementOf0(X2,stldt0(xA))
| ~ sP7(X0) )
| ~ spl45_146 ),
inference(avatar_component_clause,[],[f1397]) ).
fof(f1691,plain,
( ! [X2,X0,X1] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ~ sdteqdtlpzmzozddtrp0(X2,X1,X0)
| ~ aInteger0(X2)
| ~ sP6(X0,X1) )
| ~ spl45_174 ),
inference(avatar_component_clause,[],[f1690]) ).
fof(f11304,plain,
( spl45_655
| ~ spl45_15
| ~ spl45_457 ),
inference(avatar_split_clause,[],[f6212,f6084,f554,f11302]) ).
fof(f11302,plain,
( spl45_655
<=> ! [X14] :
( ~ aInteger0(X14)
| sz00 = sdtasdt0(sz00,sdtpldt0(sK26,X14)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_655])]) ).
fof(f6084,plain,
( spl45_457
<=> ! [X4,X5] :
( ~ aInteger0(X4)
| ~ aInteger0(X5)
| sz00 = sdtasdt0(sz00,sdtpldt0(X5,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_457])]) ).
fof(f6212,plain,
( ! [X14] :
( ~ aInteger0(X14)
| sz00 = sdtasdt0(sz00,sdtpldt0(sK26,X14)) )
| ~ spl45_15
| ~ spl45_457 ),
inference(resolution,[],[f6085,f556]) ).
fof(f6085,plain,
( ! [X4,X5] :
( ~ aInteger0(X5)
| ~ aInteger0(X4)
| sz00 = sdtasdt0(sz00,sdtpldt0(X5,X4)) )
| ~ spl45_457 ),
inference(avatar_component_clause,[],[f6084]) ).
fof(f11300,plain,
( spl45_654
| ~ spl45_145
| ~ spl45_174 ),
inference(avatar_split_clause,[],[f1739,f1690,f1393,f11298]) ).
fof(f11298,plain,
( spl45_654
<=> ! [X27,X28] :
( ~ sdteqdtlpzmzozddtrp0(X27,X28,sK27(X28))
| ~ aInteger0(X27)
| ~ sP6(sK27(X28),X28)
| aElementOf0(X27,stldt0(xB))
| ~ sP11(X28) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_654])]) ).
fof(f1393,plain,
( spl45_145
<=> ! [X2,X0] :
( aElementOf0(X2,stldt0(xB))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,sK27(X0)))
| ~ sP11(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_145])]) ).
fof(f1739,plain,
( ! [X28,X27] :
( ~ sdteqdtlpzmzozddtrp0(X27,X28,sK27(X28))
| ~ aInteger0(X27)
| ~ sP6(sK27(X28),X28)
| aElementOf0(X27,stldt0(xB))
| ~ sP11(X28) )
| ~ spl45_145
| ~ spl45_174 ),
inference(resolution,[],[f1691,f1394]) ).
fof(f1394,plain,
( ! [X2,X0] :
( ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,sK27(X0)))
| aElementOf0(X2,stldt0(xB))
| ~ sP11(X0) )
| ~ spl45_145 ),
inference(avatar_component_clause,[],[f1393]) ).
fof(f11296,plain,
( spl45_653
| ~ spl45_162
| ~ spl45_174 ),
inference(avatar_split_clause,[],[f1737,f1690,f1542,f11294]) ).
fof(f11294,plain,
( spl45_653
<=> ! [X22,X21,X23] :
( ~ sdteqdtlpzmzozddtrp0(X21,X22,X23)
| ~ aInteger0(X21)
| ~ sP6(X23,X22)
| sP4(X23,X22,X21)
| ~ sP5(X23,X22,X21) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_653])]) ).
fof(f1737,plain,
( ! [X21,X22,X23] :
( ~ sdteqdtlpzmzozddtrp0(X21,X22,X23)
| ~ aInteger0(X21)
| ~ sP6(X23,X22)
| sP4(X23,X22,X21)
| ~ sP5(X23,X22,X21) )
| ~ spl45_162
| ~ spl45_174 ),
inference(resolution,[],[f1691,f1543]) ).
fof(f11292,plain,
( spl45_652
| ~ spl45_160
| ~ spl45_174 ),
inference(avatar_split_clause,[],[f1735,f1690,f1530,f11290]) ).
fof(f11290,plain,
( spl45_652
<=> ! [X16,X17,X15] :
( ~ sdteqdtlpzmzozddtrp0(X15,X16,X17)
| ~ aInteger0(X15)
| ~ sP6(X17,X16)
| sP8(X17,X16,X15)
| ~ sP9(X17,X16,X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_652])]) ).
fof(f1735,plain,
( ! [X16,X17,X15] :
( ~ sdteqdtlpzmzozddtrp0(X15,X16,X17)
| ~ aInteger0(X15)
| ~ sP6(X17,X16)
| sP8(X17,X16,X15)
| ~ sP9(X17,X16,X15) )
| ~ spl45_160
| ~ spl45_174 ),
inference(resolution,[],[f1691,f1531]) ).
fof(f11288,plain,
( spl45_651
| ~ spl45_158
| ~ spl45_174 ),
inference(avatar_split_clause,[],[f1733,f1690,f1522,f11286]) ).
fof(f11286,plain,
( spl45_651
<=> ! [X9,X11,X10] :
( ~ sdteqdtlpzmzozddtrp0(X9,X10,X11)
| ~ aInteger0(X9)
| ~ sP6(X11,X10)
| sP0(X11,X10,X9)
| ~ sP1(X11,X10,X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_651])]) ).
fof(f1733,plain,
( ! [X10,X11,X9] :
( ~ sdteqdtlpzmzozddtrp0(X9,X10,X11)
| ~ aInteger0(X9)
| ~ sP6(X11,X10)
| sP0(X11,X10,X9)
| ~ sP1(X11,X10,X9) )
| ~ spl45_158
| ~ spl45_174 ),
inference(resolution,[],[f1691,f1523]) ).
fof(f11284,plain,
( spl45_650
| ~ spl45_146
| ~ spl45_173 ),
inference(avatar_split_clause,[],[f1728,f1686,f1397,f11282]) ).
fof(f11282,plain,
( spl45_650
<=> ! [X29,X30] :
( ~ sdteqdtlpzmzozddtrp0(X29,X30,sK29(X30))
| ~ aInteger0(X29)
| ~ sP10(sK29(X30),X30)
| aElementOf0(X29,stldt0(xA))
| ~ sP7(X30) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_650])]) ).
fof(f1686,plain,
( spl45_173
<=> ! [X2,X0,X1] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ~ sdteqdtlpzmzozddtrp0(X2,X1,X0)
| ~ aInteger0(X2)
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_173])]) ).
fof(f1728,plain,
( ! [X29,X30] :
( ~ sdteqdtlpzmzozddtrp0(X29,X30,sK29(X30))
| ~ aInteger0(X29)
| ~ sP10(sK29(X30),X30)
| aElementOf0(X29,stldt0(xA))
| ~ sP7(X30) )
| ~ spl45_146
| ~ spl45_173 ),
inference(resolution,[],[f1687,f1398]) ).
fof(f1687,plain,
( ! [X2,X0,X1] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ~ sdteqdtlpzmzozddtrp0(X2,X1,X0)
| ~ aInteger0(X2)
| ~ sP10(X0,X1) )
| ~ spl45_173 ),
inference(avatar_component_clause,[],[f1686]) ).
fof(f11280,plain,
( spl45_649
| ~ spl45_145
| ~ spl45_173 ),
inference(avatar_split_clause,[],[f1727,f1686,f1393,f11278]) ).
fof(f11278,plain,
( spl45_649
<=> ! [X27,X28] :
( ~ sdteqdtlpzmzozddtrp0(X27,X28,sK27(X28))
| ~ aInteger0(X27)
| ~ sP10(sK27(X28),X28)
| aElementOf0(X27,stldt0(xB))
| ~ sP11(X28) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_649])]) ).
fof(f1727,plain,
( ! [X28,X27] :
( ~ sdteqdtlpzmzozddtrp0(X27,X28,sK27(X28))
| ~ aInteger0(X27)
| ~ sP10(sK27(X28),X28)
| aElementOf0(X27,stldt0(xB))
| ~ sP11(X28) )
| ~ spl45_145
| ~ spl45_173 ),
inference(resolution,[],[f1687,f1394]) ).
fof(f11276,plain,
( spl45_648
| ~ spl45_162
| ~ spl45_173 ),
inference(avatar_split_clause,[],[f1725,f1686,f1542,f11274]) ).
fof(f11274,plain,
( spl45_648
<=> ! [X22,X21,X23] :
( ~ sdteqdtlpzmzozddtrp0(X21,X22,X23)
| ~ aInteger0(X21)
| ~ sP10(X23,X22)
| sP4(X23,X22,X21)
| ~ sP5(X23,X22,X21) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_648])]) ).
fof(f1725,plain,
( ! [X21,X22,X23] :
( ~ sdteqdtlpzmzozddtrp0(X21,X22,X23)
| ~ aInteger0(X21)
| ~ sP10(X23,X22)
| sP4(X23,X22,X21)
| ~ sP5(X23,X22,X21) )
| ~ spl45_162
| ~ spl45_173 ),
inference(resolution,[],[f1687,f1543]) ).
fof(f11272,plain,
( spl45_647
| ~ spl45_160
| ~ spl45_173 ),
inference(avatar_split_clause,[],[f1723,f1686,f1530,f11270]) ).
fof(f11270,plain,
( spl45_647
<=> ! [X16,X17,X15] :
( ~ sdteqdtlpzmzozddtrp0(X15,X16,X17)
| ~ aInteger0(X15)
| ~ sP10(X17,X16)
| sP8(X17,X16,X15)
| ~ sP9(X17,X16,X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_647])]) ).
fof(f1723,plain,
( ! [X16,X17,X15] :
( ~ sdteqdtlpzmzozddtrp0(X15,X16,X17)
| ~ aInteger0(X15)
| ~ sP10(X17,X16)
| sP8(X17,X16,X15)
| ~ sP9(X17,X16,X15) )
| ~ spl45_160
| ~ spl45_173 ),
inference(resolution,[],[f1687,f1531]) ).
fof(f11268,plain,
( spl45_646
| ~ spl45_158
| ~ spl45_173 ),
inference(avatar_split_clause,[],[f1721,f1686,f1522,f11266]) ).
fof(f11266,plain,
( spl45_646
<=> ! [X9,X11,X10] :
( ~ sdteqdtlpzmzozddtrp0(X9,X10,X11)
| ~ aInteger0(X9)
| ~ sP10(X11,X10)
| sP0(X11,X10,X9)
| ~ sP1(X11,X10,X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_646])]) ).
fof(f1721,plain,
( ! [X10,X11,X9] :
( ~ sdteqdtlpzmzozddtrp0(X9,X10,X11)
| ~ aInteger0(X9)
| ~ sP10(X11,X10)
| sP0(X11,X10,X9)
| ~ sP1(X11,X10,X9) )
| ~ spl45_158
| ~ spl45_173 ),
inference(resolution,[],[f1687,f1523]) ).
fof(f11264,plain,
( spl45_645
| ~ spl45_146
| ~ spl45_172 ),
inference(avatar_split_clause,[],[f1715,f1682,f1397,f11262]) ).
fof(f11262,plain,
( spl45_645
<=> ! [X29,X30] :
( ~ sdteqdtlpzmzozddtrp0(X29,X30,sK29(X30))
| ~ aInteger0(X29)
| ~ sP2(sK29(X30),X30)
| aElementOf0(X29,stldt0(xA))
| ~ sP7(X30) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_645])]) ).
fof(f1682,plain,
( spl45_172
<=> ! [X2,X0,X1] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ~ sdteqdtlpzmzozddtrp0(X2,X1,X0)
| ~ aInteger0(X2)
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_172])]) ).
fof(f1715,plain,
( ! [X29,X30] :
( ~ sdteqdtlpzmzozddtrp0(X29,X30,sK29(X30))
| ~ aInteger0(X29)
| ~ sP2(sK29(X30),X30)
| aElementOf0(X29,stldt0(xA))
| ~ sP7(X30) )
| ~ spl45_146
| ~ spl45_172 ),
inference(resolution,[],[f1683,f1398]) ).
fof(f1683,plain,
( ! [X2,X0,X1] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ~ sdteqdtlpzmzozddtrp0(X2,X1,X0)
| ~ aInteger0(X2)
| ~ sP2(X0,X1) )
| ~ spl45_172 ),
inference(avatar_component_clause,[],[f1682]) ).
fof(f11260,plain,
( spl45_644
| ~ spl45_15
| ~ spl45_456 ),
inference(avatar_split_clause,[],[f6172,f6080,f554,f11258]) ).
fof(f6080,plain,
( spl45_456
<=> ! [X2,X3] :
( ~ aInteger0(X2)
| ~ aInteger0(X3)
| sz00 = sdtasdt0(sdtpldt0(X3,X2),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_456])]) ).
fof(f6172,plain,
( ! [X14] :
( ~ aInteger0(X14)
| sz00 = sdtasdt0(sdtpldt0(sK26,X14),sz00) )
| ~ spl45_15
| ~ spl45_456 ),
inference(resolution,[],[f6081,f556]) ).
fof(f6081,plain,
( ! [X2,X3] :
( ~ aInteger0(X3)
| ~ aInteger0(X2)
| sz00 = sdtasdt0(sdtpldt0(X3,X2),sz00) )
| ~ spl45_456 ),
inference(avatar_component_clause,[],[f6080]) ).
fof(f11256,plain,
( spl45_643
| ~ spl45_145
| ~ spl45_172 ),
inference(avatar_split_clause,[],[f1714,f1682,f1393,f11254]) ).
fof(f11254,plain,
( spl45_643
<=> ! [X27,X28] :
( ~ sdteqdtlpzmzozddtrp0(X27,X28,sK27(X28))
| ~ aInteger0(X27)
| ~ sP2(sK27(X28),X28)
| aElementOf0(X27,stldt0(xB))
| ~ sP11(X28) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_643])]) ).
fof(f1714,plain,
( ! [X28,X27] :
( ~ sdteqdtlpzmzozddtrp0(X27,X28,sK27(X28))
| ~ aInteger0(X27)
| ~ sP2(sK27(X28),X28)
| aElementOf0(X27,stldt0(xB))
| ~ sP11(X28) )
| ~ spl45_145
| ~ spl45_172 ),
inference(resolution,[],[f1683,f1394]) ).
fof(f11252,plain,
( spl45_642
| ~ spl45_162
| ~ spl45_172 ),
inference(avatar_split_clause,[],[f1712,f1682,f1542,f11250]) ).
fof(f11250,plain,
( spl45_642
<=> ! [X22,X21,X23] :
( ~ sdteqdtlpzmzozddtrp0(X21,X22,X23)
| ~ aInteger0(X21)
| ~ sP2(X23,X22)
| sP4(X23,X22,X21)
| ~ sP5(X23,X22,X21) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_642])]) ).
fof(f1712,plain,
( ! [X21,X22,X23] :
( ~ sdteqdtlpzmzozddtrp0(X21,X22,X23)
| ~ aInteger0(X21)
| ~ sP2(X23,X22)
| sP4(X23,X22,X21)
| ~ sP5(X23,X22,X21) )
| ~ spl45_162
| ~ spl45_172 ),
inference(resolution,[],[f1683,f1543]) ).
fof(f11248,plain,
( spl45_641
| ~ spl45_160
| ~ spl45_172 ),
inference(avatar_split_clause,[],[f1710,f1682,f1530,f11246]) ).
fof(f11246,plain,
( spl45_641
<=> ! [X16,X17,X15] :
( ~ sdteqdtlpzmzozddtrp0(X15,X16,X17)
| ~ aInteger0(X15)
| ~ sP2(X17,X16)
| sP8(X17,X16,X15)
| ~ sP9(X17,X16,X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_641])]) ).
fof(f1710,plain,
( ! [X16,X17,X15] :
( ~ sdteqdtlpzmzozddtrp0(X15,X16,X17)
| ~ aInteger0(X15)
| ~ sP2(X17,X16)
| sP8(X17,X16,X15)
| ~ sP9(X17,X16,X15) )
| ~ spl45_160
| ~ spl45_172 ),
inference(resolution,[],[f1683,f1531]) ).
fof(f11244,plain,
( spl45_640
| ~ spl45_158
| ~ spl45_172 ),
inference(avatar_split_clause,[],[f1708,f1682,f1522,f11242]) ).
fof(f11242,plain,
( spl45_640
<=> ! [X9,X11,X10] :
( ~ sdteqdtlpzmzozddtrp0(X9,X10,X11)
| ~ aInteger0(X9)
| ~ sP2(X11,X10)
| sP0(X11,X10,X9)
| ~ sP1(X11,X10,X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_640])]) ).
fof(f1708,plain,
( ! [X10,X11,X9] :
( ~ sdteqdtlpzmzozddtrp0(X9,X10,X11)
| ~ aInteger0(X9)
| ~ sP2(X11,X10)
| sP0(X11,X10,X9)
| ~ sP1(X11,X10,X9) )
| ~ spl45_158
| ~ spl45_172 ),
inference(resolution,[],[f1683,f1523]) ).
fof(f11240,plain,
( spl45_639
| ~ spl45_135
| ~ spl45_150 ),
inference(avatar_split_clause,[],[f1488,f1413,f1306,f11238]) ).
fof(f11238,plain,
( spl45_639
<=> ! [X4,X5,X3] :
( ~ aElementOf0(X3,X4)
| ~ sP14(X4)
| ~ aElementOf0(X5,szAzrzSzezqlpdtcmdtrp0(X3,sK35(X4,X3)))
| aElementOf0(X5,X4)
| ~ aSet0(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_639])]) ).
fof(f1306,plain,
( spl45_135
<=> ! [X0,X1,X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_135])]) ).
fof(f1413,plain,
( spl45_150
<=> ! [X0,X3] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X3,sK35(X0,X3)),X0)
| ~ aElementOf0(X3,X0)
| ~ sP14(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_150])]) ).
fof(f1488,plain,
( ! [X3,X4,X5] :
( ~ aElementOf0(X3,X4)
| ~ sP14(X4)
| ~ aElementOf0(X5,szAzrzSzezqlpdtcmdtrp0(X3,sK35(X4,X3)))
| aElementOf0(X5,X4)
| ~ aSet0(X4) )
| ~ spl45_135
| ~ spl45_150 ),
inference(resolution,[],[f1414,f1307]) ).
fof(f1307,plain,
( ! [X3,X0,X1] :
( ~ aSubsetOf0(X1,X0)
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X0)
| ~ aSet0(X0) )
| ~ spl45_135 ),
inference(avatar_component_clause,[],[f1306]) ).
fof(f1414,plain,
( ! [X3,X0] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X3,sK35(X0,X3)),X0)
| ~ aElementOf0(X3,X0)
| ~ sP14(X0) )
| ~ spl45_150 ),
inference(avatar_component_clause,[],[f1413]) ).
fof(f11236,plain,
( spl45_638
| ~ spl45_95
| ~ spl45_143 ),
inference(avatar_split_clause,[],[f1383,f1338,f980,f11234]) ).
fof(f11234,plain,
( spl45_638
<=> ! [X9,X7,X8] :
( sdtpldt0(X7,sdtasdt0(X8,X9)) = sdtpldt0(sdtasdt0(X8,X9),X7)
| ~ aInteger0(X7)
| ~ aInteger0(X9)
| ~ aInteger0(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_638])]) ).
fof(f980,plain,
( spl45_95
<=> ! [X0,X1] :
( aInteger0(sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_95])]) ).
fof(f1383,plain,
( ! [X8,X9,X7] :
( sdtpldt0(X7,sdtasdt0(X8,X9)) = sdtpldt0(sdtasdt0(X8,X9),X7)
| ~ aInteger0(X7)
| ~ aInteger0(X9)
| ~ aInteger0(X8) )
| ~ spl45_95
| ~ spl45_143 ),
inference(resolution,[],[f1339,f981]) ).
fof(f981,plain,
( ! [X0,X1] :
( aInteger0(sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl45_95 ),
inference(avatar_component_clause,[],[f980]) ).
fof(f11232,plain,
( spl45_637
| ~ spl45_94
| ~ spl45_143 ),
inference(avatar_split_clause,[],[f1382,f1338,f976,f11230]) ).
fof(f11230,plain,
( spl45_637
<=> ! [X6,X4,X5] :
( sdtpldt0(X4,sdtpldt0(X5,X6)) = sdtpldt0(sdtpldt0(X5,X6),X4)
| ~ aInteger0(X4)
| ~ aInteger0(X6)
| ~ aInteger0(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_637])]) ).
fof(f976,plain,
( spl45_94
<=> ! [X0,X1] :
( aInteger0(sdtpldt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_94])]) ).
fof(f1382,plain,
( ! [X6,X4,X5] :
( sdtpldt0(X4,sdtpldt0(X5,X6)) = sdtpldt0(sdtpldt0(X5,X6),X4)
| ~ aInteger0(X4)
| ~ aInteger0(X6)
| ~ aInteger0(X5) )
| ~ spl45_94
| ~ spl45_143 ),
inference(resolution,[],[f1339,f977]) ).
fof(f977,plain,
( ! [X0,X1] :
( aInteger0(sdtpldt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl45_94 ),
inference(avatar_component_clause,[],[f976]) ).
fof(f11228,plain,
( spl45_636
| ~ spl45_95
| ~ spl45_142 ),
inference(avatar_split_clause,[],[f1370,f1334,f980,f11226]) ).
fof(f11226,plain,
( spl45_636
<=> ! [X9,X7,X8] :
( sdtasdt0(X7,sdtasdt0(X8,X9)) = sdtasdt0(sdtasdt0(X8,X9),X7)
| ~ aInteger0(X7)
| ~ aInteger0(X9)
| ~ aInteger0(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_636])]) ).
fof(f1370,plain,
( ! [X8,X9,X7] :
( sdtasdt0(X7,sdtasdt0(X8,X9)) = sdtasdt0(sdtasdt0(X8,X9),X7)
| ~ aInteger0(X7)
| ~ aInteger0(X9)
| ~ aInteger0(X8) )
| ~ spl45_95
| ~ spl45_142 ),
inference(resolution,[],[f1335,f981]) ).
fof(f11224,plain,
( spl45_635
| ~ spl45_94
| ~ spl45_142 ),
inference(avatar_split_clause,[],[f1369,f1334,f976,f11222]) ).
fof(f11222,plain,
( spl45_635
<=> ! [X6,X4,X5] :
( sdtasdt0(X4,sdtpldt0(X5,X6)) = sdtasdt0(sdtpldt0(X5,X6),X4)
| ~ aInteger0(X4)
| ~ aInteger0(X6)
| ~ aInteger0(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_635])]) ).
fof(f1369,plain,
( ! [X6,X4,X5] :
( sdtasdt0(X4,sdtpldt0(X5,X6)) = sdtasdt0(sdtpldt0(X5,X6),X4)
| ~ aInteger0(X4)
| ~ aInteger0(X6)
| ~ aInteger0(X5) )
| ~ spl45_94
| ~ spl45_142 ),
inference(resolution,[],[f1335,f977]) ).
fof(f11220,plain,
( spl45_634
| ~ spl45_104
| ~ spl45_106 ),
inference(avatar_split_clause,[],[f1184,f1088,f1080,f11218]) ).
fof(f11218,plain,
( spl45_634
<=> ! [X13,X14,X15] :
( smndt0(sK30(X13,X14,X15)) = sdtasdt0(sK30(X13,X14,X15),smndt0(sz10))
| ~ sP4(X13,X14,X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_634])]) ).
fof(f1080,plain,
( spl45_104
<=> ! [X2,X0,X1] :
( aInteger0(sK30(X0,X1,X2))
| ~ sP4(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_104])]) ).
fof(f1088,plain,
( spl45_106
<=> ! [X0] :
( smndt0(X0) = sdtasdt0(X0,smndt0(sz10))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_106])]) ).
fof(f1184,plain,
( ! [X14,X15,X13] :
( smndt0(sK30(X13,X14,X15)) = sdtasdt0(sK30(X13,X14,X15),smndt0(sz10))
| ~ sP4(X13,X14,X15) )
| ~ spl45_104
| ~ spl45_106 ),
inference(resolution,[],[f1089,f1081]) ).
fof(f1081,plain,
( ! [X2,X0,X1] :
( aInteger0(sK30(X0,X1,X2))
| ~ sP4(X0,X1,X2) )
| ~ spl45_104 ),
inference(avatar_component_clause,[],[f1080]) ).
fof(f1089,plain,
( ! [X0] :
( ~ aInteger0(X0)
| smndt0(X0) = sdtasdt0(X0,smndt0(sz10)) )
| ~ spl45_106 ),
inference(avatar_component_clause,[],[f1088]) ).
fof(f11214,plain,
( spl45_633
| ~ spl45_102
| ~ spl45_106 ),
inference(avatar_split_clause,[],[f1182,f1088,f1072,f11212]) ).
fof(f11212,plain,
( spl45_633
<=> ! [X9,X11,X10] :
( smndt0(sK28(X9,X10,X11)) = sdtasdt0(sK28(X9,X10,X11),smndt0(sz10))
| ~ sP8(X9,X10,X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_633])]) ).
fof(f1072,plain,
( spl45_102
<=> ! [X2,X0,X1] :
( aInteger0(sK28(X0,X1,X2))
| ~ sP8(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_102])]) ).
fof(f1182,plain,
( ! [X10,X11,X9] :
( smndt0(sK28(X9,X10,X11)) = sdtasdt0(sK28(X9,X10,X11),smndt0(sz10))
| ~ sP8(X9,X10,X11) )
| ~ spl45_102
| ~ spl45_106 ),
inference(resolution,[],[f1089,f1073]) ).
fof(f1073,plain,
( ! [X2,X0,X1] :
( aInteger0(sK28(X0,X1,X2))
| ~ sP8(X0,X1,X2) )
| ~ spl45_102 ),
inference(avatar_component_clause,[],[f1072]) ).
fof(f11210,plain,
( spl45_632
| ~ spl45_100
| ~ spl45_106 ),
inference(avatar_split_clause,[],[f1179,f1088,f1064,f11208]) ).
fof(f11208,plain,
( spl45_632
<=> ! [X6,X5,X7] :
( smndt0(sK25(X5,X6,X7)) = sdtasdt0(sK25(X5,X6,X7),smndt0(sz10))
| ~ sP0(X5,X6,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_632])]) ).
fof(f1064,plain,
( spl45_100
<=> ! [X2,X0,X1] :
( aInteger0(sK25(X0,X1,X2))
| ~ sP0(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_100])]) ).
fof(f1179,plain,
( ! [X6,X7,X5] :
( smndt0(sK25(X5,X6,X7)) = sdtasdt0(sK25(X5,X6,X7),smndt0(sz10))
| ~ sP0(X5,X6,X7) )
| ~ spl45_100
| ~ spl45_106 ),
inference(resolution,[],[f1089,f1065]) ).
fof(f1065,plain,
( ! [X2,X0,X1] :
( aInteger0(sK25(X0,X1,X2))
| ~ sP0(X0,X1,X2) )
| ~ spl45_100 ),
inference(avatar_component_clause,[],[f1064]) ).
fof(f11206,plain,
( spl45_631
| ~ spl45_104
| ~ spl45_105 ),
inference(avatar_split_clause,[],[f1172,f1084,f1080,f11204]) ).
fof(f11204,plain,
( spl45_631
<=> ! [X13,X14,X15] :
( smndt0(sK30(X13,X14,X15)) = sdtasdt0(smndt0(sz10),sK30(X13,X14,X15))
| ~ sP4(X13,X14,X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_631])]) ).
fof(f1084,plain,
( spl45_105
<=> ! [X0] :
( smndt0(X0) = sdtasdt0(smndt0(sz10),X0)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_105])]) ).
fof(f1172,plain,
( ! [X14,X15,X13] :
( smndt0(sK30(X13,X14,X15)) = sdtasdt0(smndt0(sz10),sK30(X13,X14,X15))
| ~ sP4(X13,X14,X15) )
| ~ spl45_104
| ~ spl45_105 ),
inference(resolution,[],[f1085,f1081]) ).
fof(f1085,plain,
( ! [X0] :
( ~ aInteger0(X0)
| smndt0(X0) = sdtasdt0(smndt0(sz10),X0) )
| ~ spl45_105 ),
inference(avatar_component_clause,[],[f1084]) ).
fof(f11202,plain,
( spl45_630
| ~ spl45_102
| ~ spl45_105 ),
inference(avatar_split_clause,[],[f1170,f1084,f1072,f11200]) ).
fof(f11200,plain,
( spl45_630
<=> ! [X9,X11,X10] :
( smndt0(sK28(X9,X10,X11)) = sdtasdt0(smndt0(sz10),sK28(X9,X10,X11))
| ~ sP8(X9,X10,X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_630])]) ).
fof(f1170,plain,
( ! [X10,X11,X9] :
( smndt0(sK28(X9,X10,X11)) = sdtasdt0(smndt0(sz10),sK28(X9,X10,X11))
| ~ sP8(X9,X10,X11) )
| ~ spl45_102
| ~ spl45_105 ),
inference(resolution,[],[f1085,f1073]) ).
fof(f11198,plain,
( spl45_629
| ~ spl45_100
| ~ spl45_105 ),
inference(avatar_split_clause,[],[f1167,f1084,f1064,f11196]) ).
fof(f11196,plain,
( spl45_629
<=> ! [X6,X5,X7] :
( smndt0(sK25(X5,X6,X7)) = sdtasdt0(smndt0(sz10),sK25(X5,X6,X7))
| ~ sP0(X5,X6,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_629])]) ).
fof(f1167,plain,
( ! [X6,X7,X5] :
( smndt0(sK25(X5,X6,X7)) = sdtasdt0(smndt0(sz10),sK25(X5,X6,X7))
| ~ sP0(X5,X6,X7) )
| ~ spl45_100
| ~ spl45_105 ),
inference(resolution,[],[f1085,f1065]) ).
fof(f11182,plain,
( ~ spl45_12
| spl45_628
| ~ spl45_47
| ~ spl45_199 ),
inference(avatar_split_clause,[],[f2154,f2099,f720,f11180,f539]) ).
fof(f539,plain,
( spl45_12
<=> aSet0(xB) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_12])]) ).
fof(f11180,plain,
( spl45_628
<=> ! [X75,X74] :
( aInteger0(sK42(X74,X75,xB))
| aElementOf0(sK42(X74,X75,xB),cS1395)
| sP20(X74,X75,xB) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_628])]) ).
fof(f720,plain,
( spl45_47
<=> ! [X4] :
( aElementOf0(X4,cS1395)
| ~ aElementOf0(X4,xB) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_47])]) ).
fof(f2099,plain,
( spl45_199
<=> ! [X2,X0,X1] :
( sP20(X0,X1,X2)
| aInteger0(sK42(X0,X1,X2))
| aElementOf0(sK42(X0,X1,X2),X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_199])]) ).
fof(f2154,plain,
( ! [X74,X75] :
( aInteger0(sK42(X74,X75,xB))
| sP20(X74,X75,xB)
| ~ aSet0(xB)
| aElementOf0(sK42(X74,X75,xB),cS1395) )
| ~ spl45_47
| ~ spl45_199 ),
inference(resolution,[],[f2100,f721]) ).
fof(f721,plain,
( ! [X4] :
( ~ aElementOf0(X4,xB)
| aElementOf0(X4,cS1395) )
| ~ spl45_47 ),
inference(avatar_component_clause,[],[f720]) ).
fof(f2100,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK42(X0,X1,X2),X2)
| aInteger0(sK42(X0,X1,X2))
| sP20(X0,X1,X2)
| ~ aSet0(X2) )
| ~ spl45_199 ),
inference(avatar_component_clause,[],[f2099]) ).
fof(f11166,plain,
( ~ spl45_10
| spl45_627
| ~ spl45_46
| ~ spl45_199 ),
inference(avatar_split_clause,[],[f2153,f2099,f716,f11164,f529]) ).
fof(f529,plain,
( spl45_10
<=> aSet0(xA) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_10])]) ).
fof(f11164,plain,
( spl45_627
<=> ! [X73,X72] :
( aInteger0(sK42(X72,X73,xA))
| aElementOf0(sK42(X72,X73,xA),cS1395)
| sP20(X72,X73,xA) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_627])]) ).
fof(f716,plain,
( spl45_46
<=> ! [X6] :
( aElementOf0(X6,cS1395)
| ~ aElementOf0(X6,xA) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_46])]) ).
fof(f2153,plain,
( ! [X72,X73] :
( aInteger0(sK42(X72,X73,xA))
| sP20(X72,X73,xA)
| ~ aSet0(xA)
| aElementOf0(sK42(X72,X73,xA),cS1395) )
| ~ spl45_46
| ~ spl45_199 ),
inference(resolution,[],[f2100,f717]) ).
fof(f717,plain,
( ! [X6] :
( ~ aElementOf0(X6,xA)
| aElementOf0(X6,cS1395) )
| ~ spl45_46 ),
inference(avatar_component_clause,[],[f716]) ).
fof(f10590,plain,
( spl45_626
| ~ spl45_219 ),
inference(avatar_split_clause,[],[f2515,f2420,f10588]) ).
fof(f10588,plain,
( spl45_626
<=> ! [X4,X5] :
( aElementOf0(sK44(X4,X4,X5),X5)
| aElementOf0(sK44(X4,X4,X5),X4)
| sP23(X4,X4,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_626])]) ).
fof(f2420,plain,
( spl45_219
<=> ! [X2,X0,X1] :
( sP23(X0,X1,X2)
| aElementOf0(sK44(X0,X1,X2),X0)
| aElementOf0(sK44(X0,X1,X2),X1)
| aElementOf0(sK44(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_219])]) ).
fof(f2515,plain,
( ! [X4,X5] :
( aElementOf0(sK44(X4,X4,X5),X5)
| aElementOf0(sK44(X4,X4,X5),X4)
| sP23(X4,X4,X5) )
| ~ spl45_219 ),
inference(factoring,[],[f2421]) ).
fof(f2421,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK44(X0,X1,X2),X2)
| aElementOf0(sK44(X0,X1,X2),X1)
| aElementOf0(sK44(X0,X1,X2),X0)
| sP23(X0,X1,X2) )
| ~ spl45_219 ),
inference(avatar_component_clause,[],[f2420]) ).
fof(f10586,plain,
( spl45_625
| ~ spl45_219 ),
inference(avatar_split_clause,[],[f2514,f2420,f10584]) ).
fof(f10584,plain,
( spl45_625
<=> ! [X2,X3] :
( aElementOf0(sK44(X2,X3,X2),X2)
| aElementOf0(sK44(X2,X3,X2),X3)
| sP23(X2,X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_625])]) ).
fof(f2514,plain,
( ! [X2,X3] :
( aElementOf0(sK44(X2,X3,X2),X2)
| aElementOf0(sK44(X2,X3,X2),X3)
| sP23(X2,X3,X2) )
| ~ spl45_219 ),
inference(factoring,[],[f2421]) ).
fof(f10582,plain,
( spl45_624
| ~ spl45_219 ),
inference(avatar_split_clause,[],[f2513,f2420,f10580]) ).
fof(f10580,plain,
( spl45_624
<=> ! [X0,X1] :
( aElementOf0(sK44(X0,X1,X1),X1)
| aElementOf0(sK44(X0,X1,X1),X0)
| sP23(X0,X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_624])]) ).
fof(f2513,plain,
( ! [X0,X1] :
( aElementOf0(sK44(X0,X1,X1),X1)
| aElementOf0(sK44(X0,X1,X1),X0)
| sP23(X0,X1,X1) )
| ~ spl45_219 ),
inference(factoring,[],[f2421]) ).
fof(f10578,plain,
( spl45_623
| ~ spl45_78
| ~ spl45_143 ),
inference(avatar_split_clause,[],[f1390,f1338,f862,f10576]) ).
fof(f10576,plain,
( spl45_623
<=> ! [X29,X27,X28] :
( sdtpldt0(X27,sK32(X28,X29)) = sdtpldt0(sK32(X28,X29),X27)
| ~ aInteger0(X27)
| ~ sP12(X28,X29) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_623])]) ).
fof(f862,plain,
( spl45_78
<=> ! [X0,X1] :
( aInteger0(sK32(X0,X1))
| ~ sP12(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_78])]) ).
fof(f1390,plain,
( ! [X28,X29,X27] :
( sdtpldt0(X27,sK32(X28,X29)) = sdtpldt0(sK32(X28,X29),X27)
| ~ aInteger0(X27)
| ~ sP12(X28,X29) )
| ~ spl45_78
| ~ spl45_143 ),
inference(resolution,[],[f1339,f863]) ).
fof(f863,plain,
( ! [X0,X1] :
( aInteger0(sK32(X0,X1))
| ~ sP12(X0,X1) )
| ~ spl45_78 ),
inference(avatar_component_clause,[],[f862]) ).
fof(f10574,plain,
( spl45_622
| ~ spl45_78
| ~ spl45_142 ),
inference(avatar_split_clause,[],[f1377,f1334,f862,f10572]) ).
fof(f10572,plain,
( spl45_622
<=> ! [X29,X27,X28] :
( sdtasdt0(X27,sK32(X28,X29)) = sdtasdt0(sK32(X28,X29),X27)
| ~ aInteger0(X27)
| ~ sP12(X28,X29) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_622])]) ).
fof(f1377,plain,
( ! [X28,X29,X27] :
( sdtasdt0(X27,sK32(X28,X29)) = sdtasdt0(sK32(X28,X29),X27)
| ~ aInteger0(X27)
| ~ sP12(X28,X29) )
| ~ spl45_78
| ~ spl45_142 ),
inference(resolution,[],[f1335,f863]) ).
fof(f10555,plain,
( spl45_621
| ~ spl45_59
| ~ spl45_133 ),
inference(avatar_split_clause,[],[f1356,f1294,f768,f10553]) ).
fof(f10553,plain,
( spl45_621
<=> ! [X2,X3] :
( aInteger0(sK34(szAzrzSzezqlpdtcmdtrp0(X2,X3)))
| ~ sP5(X3,X2,sK34(szAzrzSzezqlpdtcmdtrp0(X2,X3)))
| sP14(szAzrzSzezqlpdtcmdtrp0(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_621])]) ).
fof(f1294,plain,
( spl45_133
<=> ! [X2,X0,X1] :
( aInteger0(X2)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ~ sP5(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_133])]) ).
fof(f1356,plain,
( ! [X2,X3] :
( aInteger0(sK34(szAzrzSzezqlpdtcmdtrp0(X2,X3)))
| ~ sP5(X3,X2,sK34(szAzrzSzezqlpdtcmdtrp0(X2,X3)))
| sP14(szAzrzSzezqlpdtcmdtrp0(X2,X3)) )
| ~ spl45_59
| ~ spl45_133 ),
inference(resolution,[],[f1295,f769]) ).
fof(f1295,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| aInteger0(X2)
| ~ sP5(X0,X1,X2) )
| ~ spl45_133 ),
inference(avatar_component_clause,[],[f1294]) ).
fof(f10551,plain,
( spl45_620
| ~ spl45_59
| ~ spl45_132 ),
inference(avatar_split_clause,[],[f1352,f1290,f768,f10549]) ).
fof(f10549,plain,
( spl45_620
<=> ! [X2,X3] :
( aInteger0(sK34(szAzrzSzezqlpdtcmdtrp0(X2,X3)))
| ~ sP9(X3,X2,sK34(szAzrzSzezqlpdtcmdtrp0(X2,X3)))
| sP14(szAzrzSzezqlpdtcmdtrp0(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_620])]) ).
fof(f1290,plain,
( spl45_132
<=> ! [X2,X0,X1] :
( aInteger0(X2)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ~ sP9(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_132])]) ).
fof(f1352,plain,
( ! [X2,X3] :
( aInteger0(sK34(szAzrzSzezqlpdtcmdtrp0(X2,X3)))
| ~ sP9(X3,X2,sK34(szAzrzSzezqlpdtcmdtrp0(X2,X3)))
| sP14(szAzrzSzezqlpdtcmdtrp0(X2,X3)) )
| ~ spl45_59
| ~ spl45_132 ),
inference(resolution,[],[f1291,f769]) ).
fof(f1291,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| aInteger0(X2)
| ~ sP9(X0,X1,X2) )
| ~ spl45_132 ),
inference(avatar_component_clause,[],[f1290]) ).
fof(f10547,plain,
( spl45_619
| ~ spl45_59
| ~ spl45_131 ),
inference(avatar_split_clause,[],[f1348,f1286,f768,f10545]) ).
fof(f10545,plain,
( spl45_619
<=> ! [X2,X3] :
( aInteger0(sK34(szAzrzSzezqlpdtcmdtrp0(X2,X3)))
| ~ sP1(X3,X2,sK34(szAzrzSzezqlpdtcmdtrp0(X2,X3)))
| sP14(szAzrzSzezqlpdtcmdtrp0(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_619])]) ).
fof(f1286,plain,
( spl45_131
<=> ! [X2,X0,X1] :
( aInteger0(X2)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ~ sP1(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_131])]) ).
fof(f1348,plain,
( ! [X2,X3] :
( aInteger0(sK34(szAzrzSzezqlpdtcmdtrp0(X2,X3)))
| ~ sP1(X3,X2,sK34(szAzrzSzezqlpdtcmdtrp0(X2,X3)))
| sP14(szAzrzSzezqlpdtcmdtrp0(X2,X3)) )
| ~ spl45_59
| ~ spl45_131 ),
inference(resolution,[],[f1287,f769]) ).
fof(f1287,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| aInteger0(X2)
| ~ sP1(X0,X1,X2) )
| ~ spl45_131 ),
inference(avatar_component_clause,[],[f1286]) ).
fof(f10543,plain,
( spl45_618
| ~ spl45_106
| ~ spl45_108 ),
inference(avatar_split_clause,[],[f1196,f1097,f1088,f10541]) ).
fof(f10541,plain,
( spl45_618
<=> ! [X20,X21] :
( ~ aElementOf0(X20,X21)
| ~ sP14(X21)
| smndt0(sK35(X21,X20)) = sdtasdt0(sK35(X21,X20),smndt0(sz10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_618])]) ).
fof(f1196,plain,
( ! [X21,X20] :
( ~ aElementOf0(X20,X21)
| ~ sP14(X21)
| smndt0(sK35(X21,X20)) = sdtasdt0(sK35(X21,X20),smndt0(sz10)) )
| ~ spl45_106
| ~ spl45_108 ),
inference(resolution,[],[f1098,f1089]) ).
fof(f10539,plain,
( spl45_617
| ~ spl45_105
| ~ spl45_108 ),
inference(avatar_split_clause,[],[f1195,f1097,f1084,f10537]) ).
fof(f10537,plain,
( spl45_617
<=> ! [X18,X19] :
( ~ aElementOf0(X18,X19)
| ~ sP14(X19)
| smndt0(sK35(X19,X18)) = sdtasdt0(smndt0(sz10),sK35(X19,X18)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_617])]) ).
fof(f1195,plain,
( ! [X18,X19] :
( ~ aElementOf0(X18,X19)
| ~ sP14(X19)
| smndt0(sK35(X19,X18)) = sdtasdt0(smndt0(sz10),sK35(X19,X18)) )
| ~ spl45_105
| ~ spl45_108 ),
inference(resolution,[],[f1098,f1085]) ).
fof(f10535,plain,
( spl45_616
| ~ spl45_83
| ~ spl45_104 ),
inference(avatar_split_clause,[],[f1161,f1080,f931,f10533]) ).
fof(f10533,plain,
( spl45_616
<=> ! [X25,X24,X26] :
( ~ sP4(X24,X25,X26)
| sz00 = sdtpldt0(smndt0(sK30(X24,X25,X26)),sK30(X24,X25,X26)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_616])]) ).
fof(f931,plain,
( spl45_83
<=> ! [X0] :
( sz00 = sdtpldt0(smndt0(X0),X0)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_83])]) ).
fof(f1161,plain,
( ! [X26,X24,X25] :
( ~ sP4(X24,X25,X26)
| sz00 = sdtpldt0(smndt0(sK30(X24,X25,X26)),sK30(X24,X25,X26)) )
| ~ spl45_83
| ~ spl45_104 ),
inference(resolution,[],[f1081,f932]) ).
fof(f932,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(X0),X0) )
| ~ spl45_83 ),
inference(avatar_component_clause,[],[f931]) ).
fof(f10531,plain,
( spl45_615
| ~ spl45_82
| ~ spl45_104 ),
inference(avatar_split_clause,[],[f1160,f1080,f927,f10529]) ).
fof(f10529,plain,
( spl45_615
<=> ! [X22,X21,X23] :
( ~ sP4(X21,X22,X23)
| sz00 = sdtpldt0(sK30(X21,X22,X23),smndt0(sK30(X21,X22,X23))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_615])]) ).
fof(f927,plain,
( spl45_82
<=> ! [X0] :
( sz00 = sdtpldt0(X0,smndt0(X0))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_82])]) ).
fof(f1160,plain,
( ! [X21,X22,X23] :
( ~ sP4(X21,X22,X23)
| sz00 = sdtpldt0(sK30(X21,X22,X23),smndt0(sK30(X21,X22,X23))) )
| ~ spl45_82
| ~ spl45_104 ),
inference(resolution,[],[f1081,f928]) ).
fof(f928,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(X0,smndt0(X0)) )
| ~ spl45_82 ),
inference(avatar_component_clause,[],[f927]) ).
fof(f10527,plain,
( spl45_614
| ~ spl45_83
| ~ spl45_102 ),
inference(avatar_split_clause,[],[f1151,f1072,f931,f10525]) ).
fof(f10525,plain,
( spl45_614
<=> ! [X25,X24,X26] :
( ~ sP8(X24,X25,X26)
| sz00 = sdtpldt0(smndt0(sK28(X24,X25,X26)),sK28(X24,X25,X26)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_614])]) ).
fof(f1151,plain,
( ! [X26,X24,X25] :
( ~ sP8(X24,X25,X26)
| sz00 = sdtpldt0(smndt0(sK28(X24,X25,X26)),sK28(X24,X25,X26)) )
| ~ spl45_83
| ~ spl45_102 ),
inference(resolution,[],[f1073,f932]) ).
fof(f10523,plain,
( spl45_613
| ~ spl45_82
| ~ spl45_102 ),
inference(avatar_split_clause,[],[f1150,f1072,f927,f10521]) ).
fof(f10521,plain,
( spl45_613
<=> ! [X22,X21,X23] :
( ~ sP8(X21,X22,X23)
| sz00 = sdtpldt0(sK28(X21,X22,X23),smndt0(sK28(X21,X22,X23))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_613])]) ).
fof(f1150,plain,
( ! [X21,X22,X23] :
( ~ sP8(X21,X22,X23)
| sz00 = sdtpldt0(sK28(X21,X22,X23),smndt0(sK28(X21,X22,X23))) )
| ~ spl45_82
| ~ spl45_102 ),
inference(resolution,[],[f1073,f928]) ).
fof(f10519,plain,
( spl45_612
| ~ spl45_83
| ~ spl45_100 ),
inference(avatar_split_clause,[],[f1140,f1064,f931,f10517]) ).
fof(f10517,plain,
( spl45_612
<=> ! [X25,X24,X26] :
( ~ sP0(X24,X25,X26)
| sz00 = sdtpldt0(smndt0(sK25(X24,X25,X26)),sK25(X24,X25,X26)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_612])]) ).
fof(f1140,plain,
( ! [X26,X24,X25] :
( ~ sP0(X24,X25,X26)
| sz00 = sdtpldt0(smndt0(sK25(X24,X25,X26)),sK25(X24,X25,X26)) )
| ~ spl45_83
| ~ spl45_100 ),
inference(resolution,[],[f1065,f932]) ).
fof(f10515,plain,
( spl45_611
| ~ spl45_144
| ~ spl45_433 ),
inference(avatar_split_clause,[],[f5682,f5572,f1343,f10512]) ).
fof(f10512,plain,
( spl45_611
<=> sz00 = sdtpldt0(smndt0(sK29(sK26)),sK29(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_611])]) ).
fof(f1343,plain,
( spl45_144
<=> sP7(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_144])]) ).
fof(f5572,plain,
( spl45_433
<=> ! [X2] :
( sz00 = sdtpldt0(smndt0(sK29(X2)),sK29(X2))
| ~ sP7(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_433])]) ).
fof(f5682,plain,
( sz00 = sdtpldt0(smndt0(sK29(sK26)),sK29(sK26))
| ~ spl45_144
| ~ spl45_433 ),
inference(resolution,[],[f5573,f1345]) ).
fof(f1345,plain,
( sP7(sK26)
| ~ spl45_144 ),
inference(avatar_component_clause,[],[f1343]) ).
fof(f5573,plain,
( ! [X2] :
( ~ sP7(X2)
| sz00 = sdtpldt0(smndt0(sK29(X2)),sK29(X2)) )
| ~ spl45_433 ),
inference(avatar_component_clause,[],[f5572]) ).
fof(f10510,plain,
( spl45_610
| ~ spl45_82
| ~ spl45_100 ),
inference(avatar_split_clause,[],[f1139,f1064,f927,f10508]) ).
fof(f10508,plain,
( spl45_610
<=> ! [X22,X21,X23] :
( ~ sP0(X21,X22,X23)
| sz00 = sdtpldt0(sK25(X21,X22,X23),smndt0(sK25(X21,X22,X23))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_610])]) ).
fof(f1139,plain,
( ! [X21,X22,X23] :
( ~ sP0(X21,X22,X23)
| sz00 = sdtpldt0(sK25(X21,X22,X23),smndt0(sK25(X21,X22,X23))) )
| ~ spl45_82
| ~ spl45_100 ),
inference(resolution,[],[f1065,f928]) ).
fof(f10055,plain,
( spl45_609
| ~ spl45_171
| ~ spl45_432 ),
inference(avatar_split_clause,[],[f5679,f5568,f1578,f10052]) ).
fof(f10052,plain,
( spl45_609
<=> sz00 = sdtpldt0(smndt0(sK27(sK26)),sK27(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_609])]) ).
fof(f1578,plain,
( spl45_171
<=> sP11(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_171])]) ).
fof(f5568,plain,
( spl45_432
<=> ! [X1] :
( sz00 = sdtpldt0(smndt0(sK27(X1)),sK27(X1))
| ~ sP11(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_432])]) ).
fof(f5679,plain,
( sz00 = sdtpldt0(smndt0(sK27(sK26)),sK27(sK26))
| ~ spl45_171
| ~ spl45_432 ),
inference(resolution,[],[f5569,f1580]) ).
fof(f1580,plain,
( sP11(sK26)
| ~ spl45_171 ),
inference(avatar_component_clause,[],[f1578]) ).
fof(f5569,plain,
( ! [X1] :
( ~ sP11(X1)
| sz00 = sdtpldt0(smndt0(sK27(X1)),sK27(X1)) )
| ~ spl45_432 ),
inference(avatar_component_clause,[],[f5568]) ).
fof(f9861,plain,
( spl45_608
| ~ spl45_47
| ~ spl45_198 ),
inference(avatar_split_clause,[],[f2096,f1969,f720,f9859]) ).
fof(f9859,plain,
( spl45_608
<=> ! [X75,X74] :
( aElementOf0(sK43(xB,X74,X75),X75)
| sP22(xB,X74,X75)
| aElementOf0(sK43(xB,X74,X75),cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_608])]) ).
fof(f2096,plain,
( ! [X74,X75] :
( aElementOf0(sK43(xB,X74,X75),X75)
| sP22(xB,X74,X75)
| aElementOf0(sK43(xB,X74,X75),cS1395) )
| ~ spl45_47
| ~ spl45_198 ),
inference(resolution,[],[f1970,f721]) ).
fof(f9857,plain,
( spl45_607
| ~ spl45_46
| ~ spl45_198 ),
inference(avatar_split_clause,[],[f2095,f1969,f716,f9855]) ).
fof(f9855,plain,
( spl45_607
<=> ! [X73,X72] :
( aElementOf0(sK43(xA,X72,X73),X73)
| sP22(xA,X72,X73)
| aElementOf0(sK43(xA,X72,X73),cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_607])]) ).
fof(f2095,plain,
( ! [X72,X73] :
( aElementOf0(sK43(xA,X72,X73),X73)
| sP22(xA,X72,X73)
| aElementOf0(sK43(xA,X72,X73),cS1395) )
| ~ spl45_46
| ~ spl45_198 ),
inference(resolution,[],[f1970,f717]) ).
fof(f9853,plain,
( spl45_606
| ~ spl45_47
| ~ spl45_198 ),
inference(avatar_split_clause,[],[f2068,f1969,f720,f9851]) ).
fof(f9851,plain,
( spl45_606
<=> ! [X75,X74] :
( aElementOf0(sK43(X74,X75,xB),X74)
| sP22(X74,X75,xB)
| aElementOf0(sK43(X74,X75,xB),cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_606])]) ).
fof(f2068,plain,
( ! [X74,X75] :
( aElementOf0(sK43(X74,X75,xB),X74)
| sP22(X74,X75,xB)
| aElementOf0(sK43(X74,X75,xB),cS1395) )
| ~ spl45_47
| ~ spl45_198 ),
inference(resolution,[],[f1970,f721]) ).
fof(f9849,plain,
( spl45_605
| ~ spl45_144
| ~ spl45_430 ),
inference(avatar_split_clause,[],[f5637,f5560,f1343,f9846]) ).
fof(f9846,plain,
( spl45_605
<=> sz00 = sdtpldt0(sK29(sK26),smndt0(sK29(sK26))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_605])]) ).
fof(f5560,plain,
( spl45_430
<=> ! [X2] :
( sz00 = sdtpldt0(sK29(X2),smndt0(sK29(X2)))
| ~ sP7(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_430])]) ).
fof(f5637,plain,
( sz00 = sdtpldt0(sK29(sK26),smndt0(sK29(sK26)))
| ~ spl45_144
| ~ spl45_430 ),
inference(resolution,[],[f5561,f1345]) ).
fof(f5561,plain,
( ! [X2] :
( ~ sP7(X2)
| sz00 = sdtpldt0(sK29(X2),smndt0(sK29(X2))) )
| ~ spl45_430 ),
inference(avatar_component_clause,[],[f5560]) ).
fof(f9844,plain,
( spl45_604
| ~ spl45_46
| ~ spl45_198 ),
inference(avatar_split_clause,[],[f2067,f1969,f716,f9842]) ).
fof(f9842,plain,
( spl45_604
<=> ! [X73,X72] :
( aElementOf0(sK43(X72,X73,xA),X72)
| sP22(X72,X73,xA)
| aElementOf0(sK43(X72,X73,xA),cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_604])]) ).
fof(f2067,plain,
( ! [X72,X73] :
( aElementOf0(sK43(X72,X73,xA),X72)
| sP22(X72,X73,xA)
| aElementOf0(sK43(X72,X73,xA),cS1395) )
| ~ spl45_46
| ~ spl45_198 ),
inference(resolution,[],[f1970,f717]) ).
fof(f9840,plain,
( spl45_603
| ~ spl45_47
| ~ spl45_197 ),
inference(avatar_split_clause,[],[f2039,f1965,f720,f9838]) ).
fof(f9838,plain,
( spl45_603
<=> ! [X75,X74] :
( aElementOf0(sK43(X74,xB,X75),X75)
| sP22(X74,xB,X75)
| aElementOf0(sK43(X74,xB,X75),cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_603])]) ).
fof(f2039,plain,
( ! [X74,X75] :
( aElementOf0(sK43(X74,xB,X75),X75)
| sP22(X74,xB,X75)
| aElementOf0(sK43(X74,xB,X75),cS1395) )
| ~ spl45_47
| ~ spl45_197 ),
inference(resolution,[],[f1966,f721]) ).
fof(f9836,plain,
( spl45_602
| ~ spl45_46
| ~ spl45_197 ),
inference(avatar_split_clause,[],[f2038,f1965,f716,f9834]) ).
fof(f9834,plain,
( spl45_602
<=> ! [X73,X72] :
( aElementOf0(sK43(X72,xA,X73),X73)
| sP22(X72,xA,X73)
| aElementOf0(sK43(X72,xA,X73),cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_602])]) ).
fof(f2038,plain,
( ! [X72,X73] :
( aElementOf0(sK43(X72,xA,X73),X73)
| sP22(X72,xA,X73)
| aElementOf0(sK43(X72,xA,X73),cS1395) )
| ~ spl45_46
| ~ spl45_197 ),
inference(resolution,[],[f1966,f717]) ).
fof(f9832,plain,
( spl45_601
| ~ spl45_47
| ~ spl45_197 ),
inference(avatar_split_clause,[],[f2011,f1965,f720,f9830]) ).
fof(f9830,plain,
( spl45_601
<=> ! [X75,X74] :
( aElementOf0(sK43(X74,X75,xB),X75)
| sP22(X74,X75,xB)
| aElementOf0(sK43(X74,X75,xB),cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_601])]) ).
fof(f2011,plain,
( ! [X74,X75] :
( aElementOf0(sK43(X74,X75,xB),X75)
| sP22(X74,X75,xB)
| aElementOf0(sK43(X74,X75,xB),cS1395) )
| ~ spl45_47
| ~ spl45_197 ),
inference(resolution,[],[f1966,f721]) ).
fof(f9828,plain,
( spl45_600
| ~ spl45_46
| ~ spl45_197 ),
inference(avatar_split_clause,[],[f2010,f1965,f716,f9826]) ).
fof(f9826,plain,
( spl45_600
<=> ! [X73,X72] :
( aElementOf0(sK43(X72,X73,xA),X73)
| sP22(X72,X73,xA)
| aElementOf0(sK43(X72,X73,xA),cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_600])]) ).
fof(f2010,plain,
( ! [X72,X73] :
( aElementOf0(sK43(X72,X73,xA),X73)
| sP22(X72,X73,xA)
| aElementOf0(sK43(X72,X73,xA),cS1395) )
| ~ spl45_46
| ~ spl45_197 ),
inference(resolution,[],[f1966,f717]) ).
fof(f9823,plain,
( ~ spl45_32
| ~ spl45_33
| spl45_599
| ~ spl45_120
| ~ spl45_168 ),
inference(avatar_split_clause,[],[f1678,f1566,f1228,f9821,f646,f641]) ).
fof(f9821,plain,
( spl45_599
<=> ! [X0] :
( stldt0(sdtbsmnsldt0(xA,xB)) != X0
| aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_599])]) ).
fof(f1566,plain,
( spl45_168
<=> ! [X2,X0,X1] :
( aSet0(X2)
| sdtslmnbsdt0(X0,X1) != X2
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_168])]) ).
fof(f1678,plain,
( ! [X0] :
( stldt0(sdtbsmnsldt0(xA,xB)) != X0
| aSet0(X0)
| ~ aSubsetOf0(stldt0(xB),cS1395)
| ~ aSubsetOf0(stldt0(xA),cS1395) )
| ~ spl45_120
| ~ spl45_168 ),
inference(superposition,[],[f1567,f1230]) ).
fof(f1567,plain,
( ! [X2,X0,X1] :
( sdtslmnbsdt0(X0,X1) != X2
| aSet0(X2)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) )
| ~ spl45_168 ),
inference(avatar_component_clause,[],[f1566]) ).
fof(f9819,plain,
( spl45_598
| ~ spl45_63
| ~ spl45_166 ),
inference(avatar_split_clause,[],[f1662,f1558,f797,f9817]) ).
fof(f9817,plain,
( spl45_598
<=> ! [X12] :
( aElementOf0(sK38(X12,stldt0(xB)),X12)
| sP18(X12,stldt0(xB))
| ~ aElementOf0(sK37(X12,stldt0(xB)),xB) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_598])]) ).
fof(f797,plain,
( spl45_63
<=> ! [X1] :
( ~ aElementOf0(X1,xB)
| ~ aElementOf0(X1,stldt0(xB)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_63])]) ).
fof(f1558,plain,
( spl45_166
<=> ! [X0,X1] :
( sP18(X0,X1)
| aElementOf0(sK38(X0,X1),X0)
| aElementOf0(sK37(X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_166])]) ).
fof(f1662,plain,
( ! [X12] :
( aElementOf0(sK38(X12,stldt0(xB)),X12)
| sP18(X12,stldt0(xB))
| ~ aElementOf0(sK37(X12,stldt0(xB)),xB) )
| ~ spl45_63
| ~ spl45_166 ),
inference(resolution,[],[f1559,f798]) ).
fof(f798,plain,
( ! [X1] :
( ~ aElementOf0(X1,stldt0(xB))
| ~ aElementOf0(X1,xB) )
| ~ spl45_63 ),
inference(avatar_component_clause,[],[f797]) ).
fof(f1559,plain,
( ! [X0,X1] :
( aElementOf0(sK38(X0,X1),X0)
| aElementOf0(sK37(X0,X1),X1)
| sP18(X0,X1) )
| ~ spl45_166 ),
inference(avatar_component_clause,[],[f1558]) ).
fof(f9815,plain,
( spl45_597
| ~ spl45_65
| ~ spl45_166 ),
inference(avatar_split_clause,[],[f1661,f1558,f805,f9813]) ).
fof(f9813,plain,
( spl45_597
<=> ! [X11] :
( aElementOf0(sK38(X11,stldt0(xB)),X11)
| sP18(X11,stldt0(xB))
| aElementOf0(sK37(X11,stldt0(xB)),cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_597])]) ).
fof(f805,plain,
( spl45_65
<=> ! [X5] :
( aElementOf0(X5,cS1395)
| ~ aElementOf0(X5,stldt0(xB)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_65])]) ).
fof(f1661,plain,
( ! [X11] :
( aElementOf0(sK38(X11,stldt0(xB)),X11)
| sP18(X11,stldt0(xB))
| aElementOf0(sK37(X11,stldt0(xB)),cS1395) )
| ~ spl45_65
| ~ spl45_166 ),
inference(resolution,[],[f1559,f806]) ).
fof(f806,plain,
( ! [X5] :
( ~ aElementOf0(X5,stldt0(xB))
| aElementOf0(X5,cS1395) )
| ~ spl45_65 ),
inference(avatar_component_clause,[],[f805]) ).
fof(f9811,plain,
( spl45_596
| ~ spl45_62
| ~ spl45_166 ),
inference(avatar_split_clause,[],[f1658,f1558,f793,f9809]) ).
fof(f9809,plain,
( spl45_596
<=> ! [X8] :
( aElementOf0(sK38(X8,stldt0(xA)),X8)
| sP18(X8,stldt0(xA))
| ~ aElementOf0(sK37(X8,stldt0(xA)),xA) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_596])]) ).
fof(f793,plain,
( spl45_62
<=> ! [X3] :
( ~ aElementOf0(X3,xA)
| ~ aElementOf0(X3,stldt0(xA)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_62])]) ).
fof(f1658,plain,
( ! [X8] :
( aElementOf0(sK38(X8,stldt0(xA)),X8)
| sP18(X8,stldt0(xA))
| ~ aElementOf0(sK37(X8,stldt0(xA)),xA) )
| ~ spl45_62
| ~ spl45_166 ),
inference(resolution,[],[f1559,f794]) ).
fof(f794,plain,
( ! [X3] :
( ~ aElementOf0(X3,stldt0(xA))
| ~ aElementOf0(X3,xA) )
| ~ spl45_62 ),
inference(avatar_component_clause,[],[f793]) ).
fof(f9807,plain,
( spl45_595
| ~ spl45_171
| ~ spl45_429 ),
inference(avatar_split_clause,[],[f5634,f5556,f1578,f9804]) ).
fof(f9804,plain,
( spl45_595
<=> sz00 = sdtpldt0(sK27(sK26),smndt0(sK27(sK26))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_595])]) ).
fof(f5556,plain,
( spl45_429
<=> ! [X1] :
( sz00 = sdtpldt0(sK27(X1),smndt0(sK27(X1)))
| ~ sP11(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_429])]) ).
fof(f5634,plain,
( sz00 = sdtpldt0(sK27(sK26),smndt0(sK27(sK26)))
| ~ spl45_171
| ~ spl45_429 ),
inference(resolution,[],[f5557,f1580]) ).
fof(f5557,plain,
( ! [X1] :
( ~ sP11(X1)
| sz00 = sdtpldt0(sK27(X1),smndt0(sK27(X1))) )
| ~ spl45_429 ),
inference(avatar_component_clause,[],[f5556]) ).
fof(f9802,plain,
( spl45_594
| ~ spl45_64
| ~ spl45_166 ),
inference(avatar_split_clause,[],[f1657,f1558,f801,f9800]) ).
fof(f9800,plain,
( spl45_594
<=> ! [X7] :
( aElementOf0(sK38(X7,stldt0(xA)),X7)
| sP18(X7,stldt0(xA))
| aElementOf0(sK37(X7,stldt0(xA)),cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_594])]) ).
fof(f801,plain,
( spl45_64
<=> ! [X8] :
( aElementOf0(X8,cS1395)
| ~ aElementOf0(X8,stldt0(xA)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_64])]) ).
fof(f1657,plain,
( ! [X7] :
( aElementOf0(sK38(X7,stldt0(xA)),X7)
| sP18(X7,stldt0(xA))
| aElementOf0(sK37(X7,stldt0(xA)),cS1395) )
| ~ spl45_64
| ~ spl45_166 ),
inference(resolution,[],[f1559,f802]) ).
fof(f802,plain,
( ! [X8] :
( ~ aElementOf0(X8,stldt0(xA))
| aElementOf0(X8,cS1395) )
| ~ spl45_64 ),
inference(avatar_component_clause,[],[f801]) ).
fof(f9798,plain,
( spl45_593
| ~ spl45_63
| ~ spl45_166 ),
inference(avatar_split_clause,[],[f1634,f1558,f797,f9796]) ).
fof(f9796,plain,
( spl45_593
<=> ! [X12] :
( aElementOf0(sK37(stldt0(xB),X12),X12)
| sP18(stldt0(xB),X12)
| ~ aElementOf0(sK38(stldt0(xB),X12),xB) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_593])]) ).
fof(f1634,plain,
( ! [X12] :
( aElementOf0(sK37(stldt0(xB),X12),X12)
| sP18(stldt0(xB),X12)
| ~ aElementOf0(sK38(stldt0(xB),X12),xB) )
| ~ spl45_63
| ~ spl45_166 ),
inference(resolution,[],[f1559,f798]) ).
fof(f9794,plain,
( spl45_592
| ~ spl45_65
| ~ spl45_166 ),
inference(avatar_split_clause,[],[f1633,f1558,f805,f9792]) ).
fof(f9792,plain,
( spl45_592
<=> ! [X11] :
( aElementOf0(sK37(stldt0(xB),X11),X11)
| sP18(stldt0(xB),X11)
| aElementOf0(sK38(stldt0(xB),X11),cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_592])]) ).
fof(f1633,plain,
( ! [X11] :
( aElementOf0(sK37(stldt0(xB),X11),X11)
| sP18(stldt0(xB),X11)
| aElementOf0(sK38(stldt0(xB),X11),cS1395) )
| ~ spl45_65
| ~ spl45_166 ),
inference(resolution,[],[f1559,f806]) ).
fof(f9790,plain,
( spl45_591
| ~ spl45_62
| ~ spl45_166 ),
inference(avatar_split_clause,[],[f1630,f1558,f793,f9788]) ).
fof(f9788,plain,
( spl45_591
<=> ! [X8] :
( aElementOf0(sK37(stldt0(xA),X8),X8)
| sP18(stldt0(xA),X8)
| ~ aElementOf0(sK38(stldt0(xA),X8),xA) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_591])]) ).
fof(f1630,plain,
( ! [X8] :
( aElementOf0(sK37(stldt0(xA),X8),X8)
| sP18(stldt0(xA),X8)
| ~ aElementOf0(sK38(stldt0(xA),X8),xA) )
| ~ spl45_62
| ~ spl45_166 ),
inference(resolution,[],[f1559,f794]) ).
fof(f9786,plain,
( spl45_590
| ~ spl45_64
| ~ spl45_166 ),
inference(avatar_split_clause,[],[f1629,f1558,f801,f9784]) ).
fof(f9784,plain,
( spl45_590
<=> ! [X7] :
( aElementOf0(sK37(stldt0(xA),X7),X7)
| sP18(stldt0(xA),X7)
| aElementOf0(sK38(stldt0(xA),X7),cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_590])]) ).
fof(f1629,plain,
( ! [X7] :
( aElementOf0(sK37(stldt0(xA),X7),X7)
| sP18(stldt0(xA),X7)
| aElementOf0(sK38(stldt0(xA),X7),cS1395) )
| ~ spl45_64
| ~ spl45_166 ),
inference(resolution,[],[f1559,f802]) ).
fof(f9553,plain,
( ~ spl45_16
| ~ spl45_40
| spl45_406 ),
inference(avatar_split_clause,[],[f4844,f4837,f680,f559]) ).
fof(f680,plain,
( spl45_40
<=> ! [X0] :
( aInteger0(smndt0(X0))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_40])]) ).
fof(f4837,plain,
( spl45_406
<=> aInteger0(smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_406])]) ).
fof(f4844,plain,
( ~ aInteger0(sz10)
| ~ spl45_40
| spl45_406 ),
inference(resolution,[],[f4839,f681]) ).
fof(f681,plain,
( ! [X0] :
( aInteger0(smndt0(X0))
| ~ aInteger0(X0) )
| ~ spl45_40 ),
inference(avatar_component_clause,[],[f680]) ).
fof(f4839,plain,
( ~ aInteger0(smndt0(sz10))
| spl45_406 ),
inference(avatar_component_clause,[],[f4837]) ).
fof(f9056,plain,
( spl45_589
| ~ spl45_16
| ~ spl45_205 ),
inference(avatar_split_clause,[],[f2179,f2124,f559,f9054]) ).
fof(f9054,plain,
( spl45_589
<=> ! [X2,X3] :
( sdtasdt0(X2,sdtasdt0(X3,sz10)) = sdtasdt0(sdtasdt0(X2,X3),sz10)
| ~ aInteger0(X3)
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_589])]) ).
fof(f2124,plain,
( spl45_205
<=> ! [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,[spl45_205])]) ).
fof(f2179,plain,
( ! [X2,X3] :
( sdtasdt0(X2,sdtasdt0(X3,sz10)) = sdtasdt0(sdtasdt0(X2,X3),sz10)
| ~ aInteger0(X3)
| ~ aInteger0(X2) )
| ~ spl45_16
| ~ spl45_205 ),
inference(resolution,[],[f2125,f561]) ).
fof(f2125,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X2)
| sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X0,X1),X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl45_205 ),
inference(avatar_component_clause,[],[f2124]) ).
fof(f9052,plain,
( spl45_588
| ~ spl45_17
| ~ spl45_205 ),
inference(avatar_split_clause,[],[f2178,f2124,f564,f9050]) ).
fof(f9050,plain,
( spl45_588
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sz00) = sdtasdt0(X0,sdtasdt0(X1,sz00))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_588])]) ).
fof(f2178,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sz00) = sdtasdt0(X0,sdtasdt0(X1,sz00))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl45_17
| ~ spl45_205 ),
inference(resolution,[],[f2125,f566]) ).
fof(f9048,plain,
( spl45_587
| ~ spl45_15
| ~ spl45_431 ),
inference(avatar_split_clause,[],[f5646,f5564,f554,f9045]) ).
fof(f9045,plain,
( spl45_587
<=> sz00 = sdtpldt0(smndt0(smndt0(sK26)),smndt0(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_587])]) ).
fof(f5564,plain,
( spl45_431
<=> ! [X0] :
( sz00 = sdtpldt0(smndt0(smndt0(X0)),smndt0(X0))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_431])]) ).
fof(f5646,plain,
( sz00 = sdtpldt0(smndt0(smndt0(sK26)),smndt0(sK26))
| ~ spl45_15
| ~ spl45_431 ),
inference(resolution,[],[f5565,f556]) ).
fof(f5565,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(smndt0(X0)),smndt0(X0)) )
| ~ spl45_431 ),
inference(avatar_component_clause,[],[f5564]) ).
fof(f9043,plain,
( spl45_586
| ~ spl45_16
| ~ spl45_204 ),
inference(avatar_split_clause,[],[f2166,f2120,f559,f9041]) ).
fof(f9041,plain,
( spl45_586
<=> ! [X2,X3] :
( sdtpldt0(X2,sdtpldt0(X3,sz10)) = sdtpldt0(sdtpldt0(X2,X3),sz10)
| ~ aInteger0(X3)
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_586])]) ).
fof(f2120,plain,
( spl45_204
<=> ! [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,[spl45_204])]) ).
fof(f2166,plain,
( ! [X2,X3] :
( sdtpldt0(X2,sdtpldt0(X3,sz10)) = sdtpldt0(sdtpldt0(X2,X3),sz10)
| ~ aInteger0(X3)
| ~ aInteger0(X2) )
| ~ spl45_16
| ~ spl45_204 ),
inference(resolution,[],[f2121,f561]) ).
fof(f2121,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X2)
| sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl45_204 ),
inference(avatar_component_clause,[],[f2120]) ).
fof(f9039,plain,
( spl45_585
| ~ spl45_17
| ~ spl45_204 ),
inference(avatar_split_clause,[],[f2165,f2120,f564,f9037]) ).
fof(f9037,plain,
( spl45_585
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(X0,sdtpldt0(X1,sz00))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_585])]) ).
fof(f2165,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(X0,sdtpldt0(X1,sz00))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl45_17
| ~ spl45_204 ),
inference(resolution,[],[f2121,f566]) ).
fof(f9035,plain,
( spl45_584
| ~ spl45_84
| ~ spl45_164 ),
inference(avatar_split_clause,[],[f1618,f1550,f935,f9033]) ).
fof(f9033,plain,
( spl45_584
<=> ! [X0] :
( smndt0(sz10) = X0
| sz10 = X0
| ~ aInteger0(X0)
| sP12(X0,sK31(X0))
| ~ sP13(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_584])]) ).
fof(f935,plain,
( spl45_84
<=> ! [X0,X1] :
( sP12(X0,X1)
| ~ aDivisorOf0(X1,X0)
| ~ sP13(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_84])]) ).
fof(f1550,plain,
( spl45_164
<=> ! [X0] :
( aDivisorOf0(sK31(X0),X0)
| smndt0(sz10) = X0
| sz10 = X0
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_164])]) ).
fof(f1618,plain,
( ! [X0] :
( smndt0(sz10) = X0
| sz10 = X0
| ~ aInteger0(X0)
| sP12(X0,sK31(X0))
| ~ sP13(X0) )
| ~ spl45_84
| ~ spl45_164 ),
inference(resolution,[],[f1551,f936]) ).
fof(f936,plain,
( ! [X0,X1] :
( ~ aDivisorOf0(X1,X0)
| sP12(X0,X1)
| ~ sP13(X0) )
| ~ spl45_84 ),
inference(avatar_component_clause,[],[f935]) ).
fof(f1551,plain,
( ! [X0] :
( aDivisorOf0(sK31(X0),X0)
| smndt0(sz10) = X0
| sz10 = X0
| ~ aInteger0(X0) )
| ~ spl45_164 ),
inference(avatar_component_clause,[],[f1550]) ).
fof(f9031,plain,
( spl45_583
| ~ spl45_122
| ~ spl45_163 ),
inference(avatar_split_clause,[],[f1612,f1546,f1248,f9029]) ).
fof(f9029,plain,
( spl45_583
<=> ! [X0,X1] :
( sdteqdtlpzmzozddtrp0(sK24(X0,X1),X1,X0)
| ~ sP5(X0,X1,sK24(X0,X1))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_583])]) ).
fof(f1248,plain,
( spl45_122
<=> ! [X0,X1] :
( aElementOf0(sK24(X0,X1),szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_122])]) ).
fof(f1612,plain,
( ! [X0,X1] :
( sdteqdtlpzmzozddtrp0(sK24(X0,X1),X1,X0)
| ~ sP5(X0,X1,sK24(X0,X1))
| ~ sP3(X0,X1) )
| ~ spl45_122
| ~ spl45_163 ),
inference(resolution,[],[f1547,f1249]) ).
fof(f1249,plain,
( ! [X0,X1] :
( aElementOf0(sK24(X0,X1),szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ~ sP3(X0,X1) )
| ~ spl45_122 ),
inference(avatar_component_clause,[],[f1248]) ).
fof(f9027,plain,
( spl45_582
| ~ spl45_122
| ~ spl45_162 ),
inference(avatar_split_clause,[],[f1606,f1542,f1248,f9025]) ).
fof(f9025,plain,
( spl45_582
<=> ! [X0,X1] :
( sP4(X0,X1,sK24(X0,X1))
| ~ sP5(X0,X1,sK24(X0,X1))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_582])]) ).
fof(f1606,plain,
( ! [X0,X1] :
( sP4(X0,X1,sK24(X0,X1))
| ~ sP5(X0,X1,sK24(X0,X1))
| ~ sP3(X0,X1) )
| ~ spl45_122
| ~ spl45_162 ),
inference(resolution,[],[f1543,f1249]) ).
fof(f9023,plain,
( spl45_581
| ~ spl45_122
| ~ spl45_161 ),
inference(avatar_split_clause,[],[f1600,f1538,f1248,f9021]) ).
fof(f9021,plain,
( spl45_581
<=> ! [X0,X1] :
( sdteqdtlpzmzozddtrp0(sK24(X0,X1),X1,X0)
| ~ sP9(X0,X1,sK24(X0,X1))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_581])]) ).
fof(f1600,plain,
( ! [X0,X1] :
( sdteqdtlpzmzozddtrp0(sK24(X0,X1),X1,X0)
| ~ sP9(X0,X1,sK24(X0,X1))
| ~ sP3(X0,X1) )
| ~ spl45_122
| ~ spl45_161 ),
inference(resolution,[],[f1539,f1249]) ).
fof(f9019,plain,
( spl45_580
| ~ spl45_122
| ~ spl45_160 ),
inference(avatar_split_clause,[],[f1594,f1530,f1248,f9017]) ).
fof(f9017,plain,
( spl45_580
<=> ! [X0,X1] :
( sP8(X0,X1,sK24(X0,X1))
| ~ sP9(X0,X1,sK24(X0,X1))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_580])]) ).
fof(f1594,plain,
( ! [X0,X1] :
( sP8(X0,X1,sK24(X0,X1))
| ~ sP9(X0,X1,sK24(X0,X1))
| ~ sP3(X0,X1) )
| ~ spl45_122
| ~ spl45_160 ),
inference(resolution,[],[f1531,f1249]) ).
fof(f9015,plain,
( spl45_579
| ~ spl45_122
| ~ spl45_159 ),
inference(avatar_split_clause,[],[f1588,f1526,f1248,f9013]) ).
fof(f9013,plain,
( spl45_579
<=> ! [X0,X1] :
( sdteqdtlpzmzozddtrp0(sK24(X0,X1),X1,X0)
| ~ sP1(X0,X1,sK24(X0,X1))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_579])]) ).
fof(f1588,plain,
( ! [X0,X1] :
( sdteqdtlpzmzozddtrp0(sK24(X0,X1),X1,X0)
| ~ sP1(X0,X1,sK24(X0,X1))
| ~ sP3(X0,X1) )
| ~ spl45_122
| ~ spl45_159 ),
inference(resolution,[],[f1527,f1249]) ).
fof(f9011,plain,
( spl45_578
| ~ spl45_122
| ~ spl45_158 ),
inference(avatar_split_clause,[],[f1582,f1522,f1248,f9009]) ).
fof(f9009,plain,
( spl45_578
<=> ! [X0,X1] :
( sP0(X0,X1,sK24(X0,X1))
| ~ sP1(X0,X1,sK24(X0,X1))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_578])]) ).
fof(f1582,plain,
( ! [X0,X1] :
( sP0(X0,X1,sK24(X0,X1))
| ~ sP1(X0,X1,sK24(X0,X1))
| ~ sP3(X0,X1) )
| ~ spl45_122
| ~ spl45_158 ),
inference(resolution,[],[f1523,f1249]) ).
fof(f9007,plain,
( spl45_577
| ~ spl45_59
| ~ spl45_146 ),
inference(avatar_split_clause,[],[f1450,f1397,f768,f9005]) ).
fof(f9005,plain,
( spl45_577
<=> ! [X1] :
( aElementOf0(sK34(szAzrzSzezqlpdtcmdtrp0(X1,sK29(X1))),stldt0(xA))
| ~ sP7(X1)
| sP14(szAzrzSzezqlpdtcmdtrp0(X1,sK29(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_577])]) ).
fof(f1450,plain,
( ! [X1] :
( aElementOf0(sK34(szAzrzSzezqlpdtcmdtrp0(X1,sK29(X1))),stldt0(xA))
| ~ sP7(X1)
| sP14(szAzrzSzezqlpdtcmdtrp0(X1,sK29(X1))) )
| ~ spl45_59
| ~ spl45_146 ),
inference(resolution,[],[f1398,f769]) ).
fof(f9003,plain,
( spl45_576
| ~ spl45_15
| ~ spl45_428 ),
inference(avatar_split_clause,[],[f5606,f5552,f554,f9000]) ).
fof(f9000,plain,
( spl45_576
<=> sz00 = sdtpldt0(smndt0(sK26),smndt0(smndt0(sK26))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_576])]) ).
fof(f5552,plain,
( spl45_428
<=> ! [X0] :
( sz00 = sdtpldt0(smndt0(X0),smndt0(smndt0(X0)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_428])]) ).
fof(f5606,plain,
( sz00 = sdtpldt0(smndt0(sK26),smndt0(smndt0(sK26)))
| ~ spl45_15
| ~ spl45_428 ),
inference(resolution,[],[f5553,f556]) ).
fof(f5553,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(X0),smndt0(smndt0(X0))) )
| ~ spl45_428 ),
inference(avatar_component_clause,[],[f5552]) ).
fof(f8998,plain,
( spl45_575
| ~ spl45_59
| ~ spl45_145 ),
inference(avatar_split_clause,[],[f1446,f1393,f768,f8996]) ).
fof(f8996,plain,
( spl45_575
<=> ! [X1] :
( aElementOf0(sK34(szAzrzSzezqlpdtcmdtrp0(X1,sK27(X1))),stldt0(xB))
| ~ sP11(X1)
| sP14(szAzrzSzezqlpdtcmdtrp0(X1,sK27(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_575])]) ).
fof(f1446,plain,
( ! [X1] :
( aElementOf0(sK34(szAzrzSzezqlpdtcmdtrp0(X1,sK27(X1))),stldt0(xB))
| ~ sP11(X1)
| sP14(szAzrzSzezqlpdtcmdtrp0(X1,sK27(X1))) )
| ~ spl45_59
| ~ spl45_145 ),
inference(resolution,[],[f1394,f769]) ).
fof(f8994,plain,
( spl45_574
| ~ spl45_83
| ~ spl45_108 ),
inference(avatar_split_clause,[],[f1194,f1097,f931,f8992]) ).
fof(f8992,plain,
( spl45_574
<=> ! [X16,X17] :
( ~ aElementOf0(X16,X17)
| ~ sP14(X17)
| sz00 = sdtpldt0(smndt0(sK35(X17,X16)),sK35(X17,X16)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_574])]) ).
fof(f1194,plain,
( ! [X16,X17] :
( ~ aElementOf0(X16,X17)
| ~ sP14(X17)
| sz00 = sdtpldt0(smndt0(sK35(X17,X16)),sK35(X17,X16)) )
| ~ spl45_83
| ~ spl45_108 ),
inference(resolution,[],[f1098,f932]) ).
fof(f8990,plain,
( spl45_573
| ~ spl45_82
| ~ spl45_108 ),
inference(avatar_split_clause,[],[f1193,f1097,f927,f8988]) ).
fof(f8988,plain,
( spl45_573
<=> ! [X14,X15] :
( ~ aElementOf0(X14,X15)
| ~ sP14(X15)
| sz00 = sdtpldt0(sK35(X15,X14),smndt0(sK35(X15,X14))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_573])]) ).
fof(f1193,plain,
( ! [X14,X15] :
( ~ aElementOf0(X14,X15)
| ~ sP14(X15)
| sz00 = sdtpldt0(sK35(X15,X14),smndt0(sK35(X15,X14))) )
| ~ spl45_82
| ~ spl45_108 ),
inference(resolution,[],[f1098,f928]) ).
fof(f8986,plain,
( spl45_572
| ~ spl45_95
| ~ spl45_106 ),
inference(avatar_split_clause,[],[f1178,f1088,f980,f8984]) ).
fof(f8984,plain,
( spl45_572
<=> ! [X4,X3] :
( smndt0(sdtasdt0(X3,X4)) = sdtasdt0(sdtasdt0(X3,X4),smndt0(sz10))
| ~ aInteger0(X4)
| ~ aInteger0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_572])]) ).
fof(f1178,plain,
( ! [X3,X4] :
( smndt0(sdtasdt0(X3,X4)) = sdtasdt0(sdtasdt0(X3,X4),smndt0(sz10))
| ~ aInteger0(X4)
| ~ aInteger0(X3) )
| ~ spl45_95
| ~ spl45_106 ),
inference(resolution,[],[f1089,f981]) ).
fof(f8982,plain,
( spl45_571
| ~ spl45_94
| ~ spl45_106 ),
inference(avatar_split_clause,[],[f1177,f1088,f976,f8980]) ).
fof(f8980,plain,
( spl45_571
<=> ! [X2,X1] :
( smndt0(sdtpldt0(X1,X2)) = sdtasdt0(sdtpldt0(X1,X2),smndt0(sz10))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_571])]) ).
fof(f1177,plain,
( ! [X2,X1] :
( smndt0(sdtpldt0(X1,X2)) = sdtasdt0(sdtpldt0(X1,X2),smndt0(sz10))
| ~ aInteger0(X2)
| ~ aInteger0(X1) )
| ~ spl45_94
| ~ spl45_106 ),
inference(resolution,[],[f1089,f977]) ).
fof(f8978,plain,
( spl45_570
| ~ spl45_95
| ~ spl45_105 ),
inference(avatar_split_clause,[],[f1166,f1084,f980,f8976]) ).
fof(f8976,plain,
( spl45_570
<=> ! [X4,X3] :
( smndt0(sdtasdt0(X3,X4)) = sdtasdt0(smndt0(sz10),sdtasdt0(X3,X4))
| ~ aInteger0(X4)
| ~ aInteger0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_570])]) ).
fof(f1166,plain,
( ! [X3,X4] :
( smndt0(sdtasdt0(X3,X4)) = sdtasdt0(smndt0(sz10),sdtasdt0(X3,X4))
| ~ aInteger0(X4)
| ~ aInteger0(X3) )
| ~ spl45_95
| ~ spl45_105 ),
inference(resolution,[],[f1085,f981]) ).
fof(f8974,plain,
( spl45_569
| ~ spl45_94
| ~ spl45_105 ),
inference(avatar_split_clause,[],[f1165,f1084,f976,f8972]) ).
fof(f8972,plain,
( spl45_569
<=> ! [X2,X1] :
( smndt0(sdtpldt0(X1,X2)) = sdtasdt0(smndt0(sz10),sdtpldt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_569])]) ).
fof(f1165,plain,
( ! [X2,X1] :
( smndt0(sdtpldt0(X1,X2)) = sdtasdt0(smndt0(sz10),sdtpldt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1) )
| ~ spl45_94
| ~ spl45_105 ),
inference(resolution,[],[f1085,f977]) ).
fof(f8970,plain,
( spl45_568
| ~ spl45_77
| ~ spl45_104 ),
inference(avatar_split_clause,[],[f1159,f1080,f858,f8968]) ).
fof(f8968,plain,
( spl45_568
<=> ! [X20,X18,X19] :
( ~ sP4(X18,X19,X20)
| sK30(X18,X19,X20) = sdtpldt0(sz00,sK30(X18,X19,X20)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_568])]) ).
fof(f858,plain,
( spl45_77
<=> ! [X0] :
( sdtpldt0(sz00,X0) = X0
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_77])]) ).
fof(f1159,plain,
( ! [X18,X19,X20] :
( ~ sP4(X18,X19,X20)
| sK30(X18,X19,X20) = sdtpldt0(sz00,sK30(X18,X19,X20)) )
| ~ spl45_77
| ~ spl45_104 ),
inference(resolution,[],[f1081,f859]) ).
fof(f859,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz00,X0) = X0 )
| ~ spl45_77 ),
inference(avatar_component_clause,[],[f858]) ).
fof(f8966,plain,
( spl45_567
| ~ spl45_76
| ~ spl45_104 ),
inference(avatar_split_clause,[],[f1158,f1080,f854,f8964]) ).
fof(f8964,plain,
( spl45_567
<=> ! [X16,X17,X15] :
( ~ sP4(X15,X16,X17)
| sK30(X15,X16,X17) = sdtpldt0(sK30(X15,X16,X17),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_567])]) ).
fof(f854,plain,
( spl45_76
<=> ! [X0] :
( sdtpldt0(X0,sz00) = X0
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_76])]) ).
fof(f1158,plain,
( ! [X16,X17,X15] :
( ~ sP4(X15,X16,X17)
| sK30(X15,X16,X17) = sdtpldt0(sK30(X15,X16,X17),sz00) )
| ~ spl45_76
| ~ spl45_104 ),
inference(resolution,[],[f1081,f855]) ).
fof(f855,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sz00) = X0 )
| ~ spl45_76 ),
inference(avatar_component_clause,[],[f854]) ).
fof(f8962,plain,
( spl45_566
| ~ spl45_75
| ~ spl45_104 ),
inference(avatar_split_clause,[],[f1157,f1080,f850,f8960]) ).
fof(f8960,plain,
( spl45_566
<=> ! [X13,X12,X14] :
( ~ sP4(X12,X13,X14)
| sK30(X12,X13,X14) = sdtasdt0(sz10,sK30(X12,X13,X14)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_566])]) ).
fof(f850,plain,
( spl45_75
<=> ! [X0] :
( sdtasdt0(sz10,X0) = X0
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_75])]) ).
fof(f1157,plain,
( ! [X14,X12,X13] :
( ~ sP4(X12,X13,X14)
| sK30(X12,X13,X14) = sdtasdt0(sz10,sK30(X12,X13,X14)) )
| ~ spl45_75
| ~ spl45_104 ),
inference(resolution,[],[f1081,f851]) ).
fof(f851,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sz10,X0) = X0 )
| ~ spl45_75 ),
inference(avatar_component_clause,[],[f850]) ).
fof(f8956,plain,
( spl45_565
| ~ spl45_74
| ~ spl45_104 ),
inference(avatar_split_clause,[],[f1156,f1080,f846,f8954]) ).
fof(f8954,plain,
( spl45_565
<=> ! [X9,X11,X10] :
( ~ sP4(X9,X10,X11)
| sK30(X9,X10,X11) = sdtasdt0(sK30(X9,X10,X11),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_565])]) ).
fof(f846,plain,
( spl45_74
<=> ! [X0] :
( sdtasdt0(X0,sz10) = X0
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_74])]) ).
fof(f1156,plain,
( ! [X10,X11,X9] :
( ~ sP4(X9,X10,X11)
| sK30(X9,X10,X11) = sdtasdt0(sK30(X9,X10,X11),sz10) )
| ~ spl45_74
| ~ spl45_104 ),
inference(resolution,[],[f1081,f847]) ).
fof(f847,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,sz10) = X0 )
| ~ spl45_74 ),
inference(avatar_component_clause,[],[f846]) ).
fof(f8952,plain,
( spl45_564
| ~ spl45_77
| ~ spl45_102 ),
inference(avatar_split_clause,[],[f1149,f1072,f858,f8950]) ).
fof(f8950,plain,
( spl45_564
<=> ! [X20,X18,X19] :
( ~ sP8(X18,X19,X20)
| sK28(X18,X19,X20) = sdtpldt0(sz00,sK28(X18,X19,X20)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_564])]) ).
fof(f1149,plain,
( ! [X18,X19,X20] :
( ~ sP8(X18,X19,X20)
| sK28(X18,X19,X20) = sdtpldt0(sz00,sK28(X18,X19,X20)) )
| ~ spl45_77
| ~ spl45_102 ),
inference(resolution,[],[f1073,f859]) ).
fof(f8948,plain,
( spl45_563
| ~ spl45_76
| ~ spl45_102 ),
inference(avatar_split_clause,[],[f1148,f1072,f854,f8946]) ).
fof(f8946,plain,
( spl45_563
<=> ! [X16,X17,X15] :
( ~ sP8(X15,X16,X17)
| sK28(X15,X16,X17) = sdtpldt0(sK28(X15,X16,X17),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_563])]) ).
fof(f1148,plain,
( ! [X16,X17,X15] :
( ~ sP8(X15,X16,X17)
| sK28(X15,X16,X17) = sdtpldt0(sK28(X15,X16,X17),sz00) )
| ~ spl45_76
| ~ spl45_102 ),
inference(resolution,[],[f1073,f855]) ).
fof(f8944,plain,
( spl45_562
| ~ spl45_75
| ~ spl45_102 ),
inference(avatar_split_clause,[],[f1147,f1072,f850,f8942]) ).
fof(f8942,plain,
( spl45_562
<=> ! [X13,X12,X14] :
( ~ sP8(X12,X13,X14)
| sK28(X12,X13,X14) = sdtasdt0(sz10,sK28(X12,X13,X14)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_562])]) ).
fof(f1147,plain,
( ! [X14,X12,X13] :
( ~ sP8(X12,X13,X14)
| sK28(X12,X13,X14) = sdtasdt0(sz10,sK28(X12,X13,X14)) )
| ~ spl45_75
| ~ spl45_102 ),
inference(resolution,[],[f1073,f851]) ).
fof(f8940,plain,
( spl45_561
| ~ spl45_74
| ~ spl45_102 ),
inference(avatar_split_clause,[],[f1146,f1072,f846,f8938]) ).
fof(f8938,plain,
( spl45_561
<=> ! [X9,X11,X10] :
( ~ sP8(X9,X10,X11)
| sK28(X9,X10,X11) = sdtasdt0(sK28(X9,X10,X11),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_561])]) ).
fof(f1146,plain,
( ! [X10,X11,X9] :
( ~ sP8(X9,X10,X11)
| sK28(X9,X10,X11) = sdtasdt0(sK28(X9,X10,X11),sz10) )
| ~ spl45_74
| ~ spl45_102 ),
inference(resolution,[],[f1073,f847]) ).
fof(f8936,plain,
( spl45_560
| ~ spl45_77
| ~ spl45_100 ),
inference(avatar_split_clause,[],[f1138,f1064,f858,f8934]) ).
fof(f8934,plain,
( spl45_560
<=> ! [X20,X18,X19] :
( ~ sP0(X18,X19,X20)
| sK25(X18,X19,X20) = sdtpldt0(sz00,sK25(X18,X19,X20)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_560])]) ).
fof(f1138,plain,
( ! [X18,X19,X20] :
( ~ sP0(X18,X19,X20)
| sK25(X18,X19,X20) = sdtpldt0(sz00,sK25(X18,X19,X20)) )
| ~ spl45_77
| ~ spl45_100 ),
inference(resolution,[],[f1065,f859]) ).
fof(f8932,plain,
( spl45_559
| ~ spl45_76
| ~ spl45_100 ),
inference(avatar_split_clause,[],[f1137,f1064,f854,f8930]) ).
fof(f8930,plain,
( spl45_559
<=> ! [X16,X17,X15] :
( ~ sP0(X15,X16,X17)
| sK25(X15,X16,X17) = sdtpldt0(sK25(X15,X16,X17),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_559])]) ).
fof(f1137,plain,
( ! [X16,X17,X15] :
( ~ sP0(X15,X16,X17)
| sK25(X15,X16,X17) = sdtpldt0(sK25(X15,X16,X17),sz00) )
| ~ spl45_76
| ~ spl45_100 ),
inference(resolution,[],[f1065,f855]) ).
fof(f8928,plain,
( spl45_558
| ~ spl45_75
| ~ spl45_100 ),
inference(avatar_split_clause,[],[f1136,f1064,f850,f8926]) ).
fof(f8926,plain,
( spl45_558
<=> ! [X13,X12,X14] :
( ~ sP0(X12,X13,X14)
| sK25(X12,X13,X14) = sdtasdt0(sz10,sK25(X12,X13,X14)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_558])]) ).
fof(f1136,plain,
( ! [X14,X12,X13] :
( ~ sP0(X12,X13,X14)
| sK25(X12,X13,X14) = sdtasdt0(sz10,sK25(X12,X13,X14)) )
| ~ spl45_75
| ~ spl45_100 ),
inference(resolution,[],[f1065,f851]) ).
fof(f8924,plain,
( spl45_557
| ~ spl45_74
| ~ spl45_100 ),
inference(avatar_split_clause,[],[f1135,f1064,f846,f8922]) ).
fof(f8922,plain,
( spl45_557
<=> ! [X9,X11,X10] :
( ~ sP0(X9,X10,X11)
| sK25(X9,X10,X11) = sdtasdt0(sK25(X9,X10,X11),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_557])]) ).
fof(f1135,plain,
( ! [X10,X11,X9] :
( ~ sP0(X9,X10,X11)
| sK25(X9,X10,X11) = sdtasdt0(sK25(X9,X10,X11),sz10) )
| ~ spl45_74
| ~ spl45_100 ),
inference(resolution,[],[f1065,f847]) ).
fof(f8524,plain,
( spl45_556
| ~ spl45_37
| ~ spl45_218 ),
inference(avatar_split_clause,[],[f2417,f2372,f667,f8522]) ).
fof(f8522,plain,
( spl45_556
<=> ! [X4,X3] :
( ~ aElementOf0(sK44(X3,X4,cS1395),X3)
| ~ aInteger0(sK44(X3,X4,cS1395))
| sP23(X3,X4,cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_556])]) ).
fof(f667,plain,
( spl45_37
<=> ! [X5] :
( aElementOf0(X5,cS1395)
| ~ aInteger0(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_37])]) ).
fof(f2372,plain,
( spl45_218
<=> ! [X2,X0,X1] :
( sP23(X0,X1,X2)
| ~ aElementOf0(sK44(X0,X1,X2),X0)
| ~ aInteger0(sK44(X0,X1,X2))
| ~ aElementOf0(sK44(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_218])]) ).
fof(f2417,plain,
( ! [X3,X4] :
( ~ aElementOf0(sK44(X3,X4,cS1395),X3)
| ~ aInteger0(sK44(X3,X4,cS1395))
| sP23(X3,X4,cS1395) )
| ~ spl45_37
| ~ spl45_218 ),
inference(duplicate_literal_removal,[],[f2398]) ).
fof(f2398,plain,
( ! [X3,X4] :
( ~ aElementOf0(sK44(X3,X4,cS1395),X3)
| ~ aInteger0(sK44(X3,X4,cS1395))
| sP23(X3,X4,cS1395)
| ~ aInteger0(sK44(X3,X4,cS1395)) )
| ~ spl45_37
| ~ spl45_218 ),
inference(resolution,[],[f2373,f668]) ).
fof(f668,plain,
( ! [X5] :
( aElementOf0(X5,cS1395)
| ~ aInteger0(X5) )
| ~ spl45_37 ),
inference(avatar_component_clause,[],[f667]) ).
fof(f2373,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(sK44(X0,X1,X2),X2)
| ~ aElementOf0(sK44(X0,X1,X2),X0)
| ~ aInteger0(sK44(X0,X1,X2))
| sP23(X0,X1,X2) )
| ~ spl45_218 ),
inference(avatar_component_clause,[],[f2372]) ).
fof(f8520,plain,
( spl45_555
| ~ spl45_37
| ~ spl45_217 ),
inference(avatar_split_clause,[],[f2395,f2367,f667,f8518]) ).
fof(f8518,plain,
( spl45_555
<=> ! [X4,X3] :
( ~ aElementOf0(sK44(X3,X4,cS1395),X4)
| ~ aInteger0(sK44(X3,X4,cS1395))
| sP23(X3,X4,cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_555])]) ).
fof(f2367,plain,
( spl45_217
<=> ! [X2,X0,X1] :
( sP23(X0,X1,X2)
| ~ aElementOf0(sK44(X0,X1,X2),X1)
| ~ aInteger0(sK44(X0,X1,X2))
| ~ aElementOf0(sK44(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_217])]) ).
fof(f2395,plain,
( ! [X3,X4] :
( ~ aElementOf0(sK44(X3,X4,cS1395),X4)
| ~ aInteger0(sK44(X3,X4,cS1395))
| sP23(X3,X4,cS1395) )
| ~ spl45_37
| ~ spl45_217 ),
inference(duplicate_literal_removal,[],[f2376]) ).
fof(f2376,plain,
( ! [X3,X4] :
( ~ aElementOf0(sK44(X3,X4,cS1395),X4)
| ~ aInteger0(sK44(X3,X4,cS1395))
| sP23(X3,X4,cS1395)
| ~ aInteger0(sK44(X3,X4,cS1395)) )
| ~ spl45_37
| ~ spl45_217 ),
inference(resolution,[],[f2368,f668]) ).
fof(f2368,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(sK44(X0,X1,X2),X2)
| ~ aElementOf0(sK44(X0,X1,X2),X1)
| ~ aInteger0(sK44(X0,X1,X2))
| sP23(X0,X1,X2) )
| ~ spl45_217 ),
inference(avatar_component_clause,[],[f2367]) ).
fof(f8516,plain,
( spl45_554
| ~ spl45_37
| ~ spl45_216 ),
inference(avatar_split_clause,[],[f2362,f2334,f667,f8514]) ).
fof(f8514,plain,
( spl45_554
<=> ! [X6,X7] :
( sP18(X6,X7)
| ~ aElementOf0(cS1395,X6)
| ~ aInteger0(sK37(X6,X7))
| ~ aElementOf0(sK37(X6,X7),X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_554])]) ).
fof(f2334,plain,
( spl45_216
<=> ! [X0,X1,X3] :
( sP18(X0,X1)
| ~ aElementOf0(sK37(X0,X1),X3)
| ~ aElementOf0(X3,X0)
| ~ aInteger0(sK37(X0,X1))
| ~ aElementOf0(sK37(X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_216])]) ).
fof(f2362,plain,
( ! [X6,X7] :
( sP18(X6,X7)
| ~ aElementOf0(cS1395,X6)
| ~ aInteger0(sK37(X6,X7))
| ~ aElementOf0(sK37(X6,X7),X7) )
| ~ spl45_37
| ~ spl45_216 ),
inference(duplicate_literal_removal,[],[f2343]) ).
fof(f2343,plain,
( ! [X6,X7] :
( sP18(X6,X7)
| ~ aElementOf0(cS1395,X6)
| ~ aInteger0(sK37(X6,X7))
| ~ aElementOf0(sK37(X6,X7),X7)
| ~ aInteger0(sK37(X6,X7)) )
| ~ spl45_37
| ~ spl45_216 ),
inference(resolution,[],[f2335,f668]) ).
fof(f2335,plain,
( ! [X3,X0,X1] :
( ~ aElementOf0(sK37(X0,X1),X3)
| sP18(X0,X1)
| ~ aElementOf0(X3,X0)
| ~ aInteger0(sK37(X0,X1))
| ~ aElementOf0(sK37(X0,X1),X1) )
| ~ spl45_216 ),
inference(avatar_component_clause,[],[f2334]) ).
fof(f8512,plain,
( spl45_553
| ~ spl45_47
| ~ spl45_191 ),
inference(avatar_split_clause,[],[f1930,f1833,f720,f8510]) ).
fof(f8510,plain,
( spl45_553
<=> ! [X75,X74] :
( aInteger0(sK44(X74,X75,xB))
| sP23(X74,X75,xB)
| aElementOf0(sK44(X74,X75,xB),cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_553])]) ).
fof(f1833,plain,
( spl45_191
<=> ! [X2,X0,X1] :
( sP23(X0,X1,X2)
| aInteger0(sK44(X0,X1,X2))
| aElementOf0(sK44(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_191])]) ).
fof(f1930,plain,
( ! [X74,X75] :
( aInteger0(sK44(X74,X75,xB))
| sP23(X74,X75,xB)
| aElementOf0(sK44(X74,X75,xB),cS1395) )
| ~ spl45_47
| ~ spl45_191 ),
inference(resolution,[],[f1834,f721]) ).
fof(f1834,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK44(X0,X1,X2),X2)
| aInteger0(sK44(X0,X1,X2))
| sP23(X0,X1,X2) )
| ~ spl45_191 ),
inference(avatar_component_clause,[],[f1833]) ).
fof(f8508,plain,
( spl45_552
| ~ spl45_46
| ~ spl45_191 ),
inference(avatar_split_clause,[],[f1929,f1833,f716,f8506]) ).
fof(f8506,plain,
( spl45_552
<=> ! [X73,X72] :
( aInteger0(sK44(X72,X73,xA))
| sP23(X72,X73,xA)
| aElementOf0(sK44(X72,X73,xA),cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_552])]) ).
fof(f1929,plain,
( ! [X72,X73] :
( aInteger0(sK44(X72,X73,xA))
| sP23(X72,X73,xA)
| aElementOf0(sK44(X72,X73,xA),cS1395) )
| ~ spl45_46
| ~ spl45_191 ),
inference(resolution,[],[f1834,f717]) ).
fof(f8504,plain,
( spl45_551
| ~ spl45_47
| ~ spl45_189 ),
inference(avatar_split_clause,[],[f1892,f1825,f720,f8502]) ).
fof(f8502,plain,
( spl45_551
<=> ! [X75,X74] :
( aInteger0(sK43(X74,X75,xB))
| sP22(X74,X75,xB)
| aElementOf0(sK43(X74,X75,xB),cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_551])]) ).
fof(f1825,plain,
( spl45_189
<=> ! [X2,X0,X1] :
( sP22(X0,X1,X2)
| aInteger0(sK43(X0,X1,X2))
| aElementOf0(sK43(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_189])]) ).
fof(f1892,plain,
( ! [X74,X75] :
( aInteger0(sK43(X74,X75,xB))
| sP22(X74,X75,xB)
| aElementOf0(sK43(X74,X75,xB),cS1395) )
| ~ spl45_47
| ~ spl45_189 ),
inference(resolution,[],[f1826,f721]) ).
fof(f1826,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK43(X0,X1,X2),X2)
| aInteger0(sK43(X0,X1,X2))
| sP22(X0,X1,X2) )
| ~ spl45_189 ),
inference(avatar_component_clause,[],[f1825]) ).
fof(f8500,plain,
( spl45_550
| ~ spl45_46
| ~ spl45_189 ),
inference(avatar_split_clause,[],[f1891,f1825,f716,f8498]) ).
fof(f8498,plain,
( spl45_550
<=> ! [X73,X72] :
( aInteger0(sK43(X72,X73,xA))
| sP22(X72,X73,xA)
| aElementOf0(sK43(X72,X73,xA),cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_550])]) ).
fof(f1891,plain,
( ! [X72,X73] :
( aInteger0(sK43(X72,X73,xA))
| sP22(X72,X73,xA)
| aElementOf0(sK43(X72,X73,xA),cS1395) )
| ~ spl45_46
| ~ spl45_189 ),
inference(resolution,[],[f1826,f717]) ).
fof(f8496,plain,
( spl45_549
| ~ spl45_51
| ~ spl45_166 ),
inference(avatar_split_clause,[],[f1663,f1558,f736,f8494]) ).
fof(f8494,plain,
( spl45_549
<=> ! [X13] :
( aElementOf0(sK38(X13,stldt0(xB)),X13)
| sP18(X13,stldt0(xB))
| sP11(sK37(X13,stldt0(xB))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_549])]) ).
fof(f1663,plain,
( ! [X13] :
( aElementOf0(sK38(X13,stldt0(xB)),X13)
| sP18(X13,stldt0(xB))
| sP11(sK37(X13,stldt0(xB))) )
| ~ spl45_51
| ~ spl45_166 ),
inference(resolution,[],[f1559,f737]) ).
fof(f8490,plain,
( spl45_548
| ~ spl45_49
| ~ spl45_166 ),
inference(avatar_split_clause,[],[f1659,f1558,f728,f8488]) ).
fof(f8488,plain,
( spl45_548
<=> ! [X9] :
( aElementOf0(sK38(X9,stldt0(xA)),X9)
| sP18(X9,stldt0(xA))
| sP7(sK37(X9,stldt0(xA))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_548])]) ).
fof(f1659,plain,
( ! [X9] :
( aElementOf0(sK38(X9,stldt0(xA)),X9)
| sP18(X9,stldt0(xA))
| sP7(sK37(X9,stldt0(xA))) )
| ~ spl45_49
| ~ spl45_166 ),
inference(resolution,[],[f1559,f729]) ).
fof(f8486,plain,
( spl45_547
| ~ spl45_50
| ~ spl45_166 ),
inference(avatar_split_clause,[],[f1636,f1558,f732,f8484]) ).
fof(f8484,plain,
( spl45_547
<=> ! [X14] :
( aElementOf0(sK37(stldt0(xB),X14),X14)
| sP18(stldt0(xB),X14)
| aInteger0(sK38(stldt0(xB),X14)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_547])]) ).
fof(f732,plain,
( spl45_50
<=> ! [X1] :
( aInteger0(X1)
| ~ aElementOf0(X1,stldt0(xB)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_50])]) ).
fof(f1636,plain,
( ! [X14] :
( aElementOf0(sK37(stldt0(xB),X14),X14)
| sP18(stldt0(xB),X14)
| aInteger0(sK38(stldt0(xB),X14)) )
| ~ spl45_50
| ~ spl45_166 ),
inference(resolution,[],[f1559,f733]) ).
fof(f733,plain,
( ! [X1] :
( ~ aElementOf0(X1,stldt0(xB))
| aInteger0(X1) )
| ~ spl45_50 ),
inference(avatar_component_clause,[],[f732]) ).
fof(f8482,plain,
( spl45_546
| ~ spl45_51
| ~ spl45_166 ),
inference(avatar_split_clause,[],[f1635,f1558,f736,f8480]) ).
fof(f8480,plain,
( spl45_546
<=> ! [X13] :
( aElementOf0(sK37(stldt0(xB),X13),X13)
| sP18(stldt0(xB),X13)
| sP11(sK38(stldt0(xB),X13)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_546])]) ).
fof(f1635,plain,
( ! [X13] :
( aElementOf0(sK37(stldt0(xB),X13),X13)
| sP18(stldt0(xB),X13)
| sP11(sK38(stldt0(xB),X13)) )
| ~ spl45_51
| ~ spl45_166 ),
inference(resolution,[],[f1559,f737]) ).
fof(f8478,plain,
( spl45_545
| ~ spl45_48
| ~ spl45_166 ),
inference(avatar_split_clause,[],[f1632,f1558,f724,f8476]) ).
fof(f8476,plain,
( spl45_545
<=> ! [X10] :
( aElementOf0(sK37(stldt0(xA),X10),X10)
| sP18(stldt0(xA),X10)
| aInteger0(sK38(stldt0(xA),X10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_545])]) ).
fof(f724,plain,
( spl45_48
<=> ! [X3] :
( aInteger0(X3)
| ~ aElementOf0(X3,stldt0(xA)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_48])]) ).
fof(f1632,plain,
( ! [X10] :
( aElementOf0(sK37(stldt0(xA),X10),X10)
| sP18(stldt0(xA),X10)
| aInteger0(sK38(stldt0(xA),X10)) )
| ~ spl45_48
| ~ spl45_166 ),
inference(resolution,[],[f1559,f725]) ).
fof(f725,plain,
( ! [X3] :
( ~ aElementOf0(X3,stldt0(xA))
| aInteger0(X3) )
| ~ spl45_48 ),
inference(avatar_component_clause,[],[f724]) ).
fof(f8474,plain,
( spl45_544
| ~ spl45_49
| ~ spl45_166 ),
inference(avatar_split_clause,[],[f1631,f1558,f728,f8472]) ).
fof(f8472,plain,
( spl45_544
<=> ! [X9] :
( aElementOf0(sK37(stldt0(xA),X9),X9)
| sP18(stldt0(xA),X9)
| sP7(sK38(stldt0(xA),X9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_544])]) ).
fof(f1631,plain,
( ! [X9] :
( aElementOf0(sK37(stldt0(xA),X9),X9)
| sP18(stldt0(xA),X9)
| sP7(sK38(stldt0(xA),X9)) )
| ~ spl45_49
| ~ spl45_166 ),
inference(resolution,[],[f1559,f729]) ).
fof(f8469,plain,
( ~ spl45_28
| spl45_543
| ~ spl45_63
| ~ spl45_148 ),
inference(avatar_split_clause,[],[f1465,f1405,f797,f8467,f619]) ).
fof(f619,plain,
( spl45_28
<=> aSet0(stldt0(xB)) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_28])]) ).
fof(f8467,plain,
( spl45_543
<=> ! [X12] :
( aSubsetOf0(stldt0(xB),X12)
| ~ aElementOf0(sK33(X12,stldt0(xB)),xB)
| ~ aSet0(X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_543])]) ).
fof(f1405,plain,
( spl45_148
<=> ! [X0,X1] :
( aSubsetOf0(X1,X0)
| aElementOf0(sK33(X0,X1),X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_148])]) ).
fof(f1465,plain,
( ! [X12] :
( aSubsetOf0(stldt0(xB),X12)
| ~ aSet0(stldt0(xB))
| ~ aSet0(X12)
| ~ aElementOf0(sK33(X12,stldt0(xB)),xB) )
| ~ spl45_63
| ~ spl45_148 ),
inference(resolution,[],[f1406,f798]) ).
fof(f1406,plain,
( ! [X0,X1] :
( aElementOf0(sK33(X0,X1),X1)
| aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ~ aSet0(X0) )
| ~ spl45_148 ),
inference(avatar_component_clause,[],[f1405]) ).
fof(f8456,plain,
( ~ spl45_28
| spl45_542
| ~ spl45_65
| ~ spl45_148 ),
inference(avatar_split_clause,[],[f1464,f1405,f805,f8454,f619]) ).
fof(f8454,plain,
( spl45_542
<=> ! [X11] :
( aSubsetOf0(stldt0(xB),X11)
| aElementOf0(sK33(X11,stldt0(xB)),cS1395)
| ~ aSet0(X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_542])]) ).
fof(f1464,plain,
( ! [X11] :
( aSubsetOf0(stldt0(xB),X11)
| ~ aSet0(stldt0(xB))
| ~ aSet0(X11)
| aElementOf0(sK33(X11,stldt0(xB)),cS1395) )
| ~ spl45_65
| ~ spl45_148 ),
inference(resolution,[],[f1406,f806]) ).
fof(f8441,plain,
( ~ spl45_26
| spl45_541
| ~ spl45_62
| ~ spl45_148 ),
inference(avatar_split_clause,[],[f1461,f1405,f793,f8439,f609]) ).
fof(f609,plain,
( spl45_26
<=> aSet0(stldt0(xA)) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_26])]) ).
fof(f8439,plain,
( spl45_541
<=> ! [X8] :
( aSubsetOf0(stldt0(xA),X8)
| ~ aElementOf0(sK33(X8,stldt0(xA)),xA)
| ~ aSet0(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_541])]) ).
fof(f1461,plain,
( ! [X8] :
( aSubsetOf0(stldt0(xA),X8)
| ~ aSet0(stldt0(xA))
| ~ aSet0(X8)
| ~ aElementOf0(sK33(X8,stldt0(xA)),xA) )
| ~ spl45_62
| ~ spl45_148 ),
inference(resolution,[],[f1406,f794]) ).
fof(f8428,plain,
( ~ spl45_26
| spl45_540
| ~ spl45_64
| ~ spl45_148 ),
inference(avatar_split_clause,[],[f1460,f1405,f801,f8426,f609]) ).
fof(f8426,plain,
( spl45_540
<=> ! [X7] :
( aSubsetOf0(stldt0(xA),X7)
| aElementOf0(sK33(X7,stldt0(xA)),cS1395)
| ~ aSet0(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_540])]) ).
fof(f1460,plain,
( ! [X7] :
( aSubsetOf0(stldt0(xA),X7)
| ~ aSet0(stldt0(xA))
| ~ aSet0(X7)
| aElementOf0(sK33(X7,stldt0(xA)),cS1395) )
| ~ spl45_64
| ~ spl45_148 ),
inference(resolution,[],[f1406,f802]) ).
fof(f7884,plain,
( spl45_539
| ~ spl45_77
| ~ spl45_108 ),
inference(avatar_split_clause,[],[f1192,f1097,f858,f7882]) ).
fof(f7882,plain,
( spl45_539
<=> ! [X13,X12] :
( ~ aElementOf0(X12,X13)
| ~ sP14(X13)
| sK35(X13,X12) = sdtpldt0(sz00,sK35(X13,X12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_539])]) ).
fof(f1192,plain,
( ! [X12,X13] :
( ~ aElementOf0(X12,X13)
| ~ sP14(X13)
| sK35(X13,X12) = sdtpldt0(sz00,sK35(X13,X12)) )
| ~ spl45_77
| ~ spl45_108 ),
inference(resolution,[],[f1098,f859]) ).
fof(f7880,plain,
( spl45_538
| ~ spl45_76
| ~ spl45_108 ),
inference(avatar_split_clause,[],[f1191,f1097,f854,f7878]) ).
fof(f7878,plain,
( spl45_538
<=> ! [X11,X10] :
( ~ aElementOf0(X10,X11)
| ~ sP14(X11)
| sK35(X11,X10) = sdtpldt0(sK35(X11,X10),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_538])]) ).
fof(f1191,plain,
( ! [X10,X11] :
( ~ aElementOf0(X10,X11)
| ~ sP14(X11)
| sK35(X11,X10) = sdtpldt0(sK35(X11,X10),sz00) )
| ~ spl45_76
| ~ spl45_108 ),
inference(resolution,[],[f1098,f855]) ).
fof(f7876,plain,
( spl45_537
| ~ spl45_75
| ~ spl45_108 ),
inference(avatar_split_clause,[],[f1190,f1097,f850,f7874]) ).
fof(f7874,plain,
( spl45_537
<=> ! [X9,X8] :
( ~ aElementOf0(X8,X9)
| ~ sP14(X9)
| sK35(X9,X8) = sdtasdt0(sz10,sK35(X9,X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_537])]) ).
fof(f1190,plain,
( ! [X8,X9] :
( ~ aElementOf0(X8,X9)
| ~ sP14(X9)
| sK35(X9,X8) = sdtasdt0(sz10,sK35(X9,X8)) )
| ~ spl45_75
| ~ spl45_108 ),
inference(resolution,[],[f1098,f851]) ).
fof(f7872,plain,
( spl45_536
| ~ spl45_74
| ~ spl45_108 ),
inference(avatar_split_clause,[],[f1189,f1097,f846,f7870]) ).
fof(f7870,plain,
( spl45_536
<=> ! [X6,X7] :
( ~ aElementOf0(X6,X7)
| ~ sP14(X7)
| sK35(X7,X6) = sdtasdt0(sK35(X7,X6),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_536])]) ).
fof(f1189,plain,
( ! [X6,X7] :
( ~ aElementOf0(X6,X7)
| ~ sP14(X7)
| sK35(X7,X6) = sdtasdt0(sK35(X7,X6),sz10) )
| ~ spl45_74
| ~ spl45_108 ),
inference(resolution,[],[f1098,f847]) ).
fof(f7868,plain,
( spl45_535
| ~ spl45_78
| ~ spl45_106 ),
inference(avatar_split_clause,[],[f1185,f1088,f862,f7866]) ).
fof(f7866,plain,
( spl45_535
<=> ! [X16,X17] :
( smndt0(sK32(X16,X17)) = sdtasdt0(sK32(X16,X17),smndt0(sz10))
| ~ sP12(X16,X17) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_535])]) ).
fof(f1185,plain,
( ! [X16,X17] :
( smndt0(sK32(X16,X17)) = sdtasdt0(sK32(X16,X17),smndt0(sz10))
| ~ sP12(X16,X17) )
| ~ spl45_78
| ~ spl45_106 ),
inference(resolution,[],[f1089,f863]) ).
fof(f7864,plain,
( spl45_534
| ~ spl45_78
| ~ spl45_105 ),
inference(avatar_split_clause,[],[f1173,f1084,f862,f7862]) ).
fof(f7862,plain,
( spl45_534
<=> ! [X16,X17] :
( smndt0(sK32(X16,X17)) = sdtasdt0(smndt0(sz10),sK32(X16,X17))
| ~ sP12(X16,X17) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_534])]) ).
fof(f1173,plain,
( ! [X16,X17] :
( smndt0(sK32(X16,X17)) = sdtasdt0(smndt0(sz10),sK32(X16,X17))
| ~ sP12(X16,X17) )
| ~ spl45_78
| ~ spl45_105 ),
inference(resolution,[],[f1085,f863]) ).
fof(f7860,plain,
( spl45_533
| ~ spl45_83
| ~ spl45_95 ),
inference(avatar_split_clause,[],[f1041,f980,f931,f7858]) ).
fof(f7858,plain,
( spl45_533
<=> ! [X16,X17] :
( ~ aInteger0(X16)
| ~ aInteger0(X17)
| sz00 = sdtpldt0(smndt0(sdtasdt0(X17,X16)),sdtasdt0(X17,X16)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_533])]) ).
fof(f1041,plain,
( ! [X16,X17] :
( ~ aInteger0(X16)
| ~ aInteger0(X17)
| sz00 = sdtpldt0(smndt0(sdtasdt0(X17,X16)),sdtasdt0(X17,X16)) )
| ~ spl45_83
| ~ spl45_95 ),
inference(resolution,[],[f981,f932]) ).
fof(f7846,plain,
( spl45_532
| ~ spl45_82
| ~ spl45_95 ),
inference(avatar_split_clause,[],[f1040,f980,f927,f7844]) ).
fof(f7844,plain,
( spl45_532
<=> ! [X14,X15] :
( ~ aInteger0(X14)
| ~ aInteger0(X15)
| sz00 = sdtpldt0(sdtasdt0(X15,X14),smndt0(sdtasdt0(X15,X14))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_532])]) ).
fof(f1040,plain,
( ! [X14,X15] :
( ~ aInteger0(X14)
| ~ aInteger0(X15)
| sz00 = sdtpldt0(sdtasdt0(X15,X14),smndt0(sdtasdt0(X15,X14))) )
| ~ spl45_82
| ~ spl45_95 ),
inference(resolution,[],[f981,f928]) ).
fof(f7842,plain,
( spl45_531
| ~ spl45_83
| ~ spl45_94 ),
inference(avatar_split_clause,[],[f1032,f976,f931,f7840]) ).
fof(f7840,plain,
( spl45_531
<=> ! [X16,X17] :
( ~ aInteger0(X16)
| ~ aInteger0(X17)
| sz00 = sdtpldt0(smndt0(sdtpldt0(X17,X16)),sdtpldt0(X17,X16)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_531])]) ).
fof(f1032,plain,
( ! [X16,X17] :
( ~ aInteger0(X16)
| ~ aInteger0(X17)
| sz00 = sdtpldt0(smndt0(sdtpldt0(X17,X16)),sdtpldt0(X17,X16)) )
| ~ spl45_83
| ~ spl45_94 ),
inference(resolution,[],[f977,f932]) ).
fof(f7838,plain,
( spl45_530
| ~ spl45_82
| ~ spl45_94 ),
inference(avatar_split_clause,[],[f1031,f976,f927,f7836]) ).
fof(f7836,plain,
( spl45_530
<=> ! [X14,X15] :
( ~ aInteger0(X14)
| ~ aInteger0(X15)
| sz00 = sdtpldt0(sdtpldt0(X15,X14),smndt0(sdtpldt0(X15,X14))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_530])]) ).
fof(f1031,plain,
( ! [X14,X15] :
( ~ aInteger0(X14)
| ~ aInteger0(X15)
| sz00 = sdtpldt0(sdtpldt0(X15,X14),smndt0(sdtpldt0(X15,X14))) )
| ~ spl45_82
| ~ spl45_94 ),
inference(resolution,[],[f977,f928]) ).
fof(f7762,plain,
( ~ spl45_11
| spl45_529
| ~ spl45_37
| ~ spl45_206 ),
inference(avatar_split_clause,[],[f2240,f2192,f667,f7760,f534]) ).
fof(f534,plain,
( spl45_11
<=> aSet0(cS1395) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_11])]) ).
fof(f7760,plain,
( spl45_529
<=> ! [X2] :
( aElementOf0(sK36(X2,cS1395),X2)
| sP16(X2,cS1395)
| ~ aInteger0(sK36(X2,cS1395)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_529])]) ).
fof(f2192,plain,
( spl45_206
<=> ! [X0,X1] :
( sP16(X0,X1)
| aElementOf0(sK36(X0,X1),X0)
| ~ aInteger0(sK36(X0,X1))
| ~ aElementOf0(sK36(X0,X1),X1)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_206])]) ).
fof(f2240,plain,
( ! [X2] :
( aElementOf0(sK36(X2,cS1395),X2)
| ~ aInteger0(sK36(X2,cS1395))
| sP16(X2,cS1395)
| ~ aSet0(cS1395) )
| ~ spl45_37
| ~ spl45_206 ),
inference(duplicate_literal_removal,[],[f2221]) ).
fof(f2221,plain,
( ! [X2] :
( aElementOf0(sK36(X2,cS1395),X2)
| ~ aInteger0(sK36(X2,cS1395))
| sP16(X2,cS1395)
| ~ aSet0(cS1395)
| ~ aInteger0(sK36(X2,cS1395)) )
| ~ spl45_37
| ~ spl45_206 ),
inference(resolution,[],[f2193,f668]) ).
fof(f2193,plain,
( ! [X0,X1] :
( ~ aElementOf0(sK36(X0,X1),X1)
| aElementOf0(sK36(X0,X1),X0)
| ~ aInteger0(sK36(X0,X1))
| sP16(X0,X1)
| ~ aSet0(X1) )
| ~ spl45_206 ),
inference(avatar_component_clause,[],[f2192]) ).
fof(f7711,plain,
( ~ spl45_26
| spl45_528
| ~ spl45_48
| ~ spl45_199 ),
inference(avatar_split_clause,[],[f2159,f2099,f724,f7709,f609]) ).
fof(f7709,plain,
( spl45_528
<=> ! [X20,X21] :
( aInteger0(sK42(X20,X21,stldt0(xA)))
| sP20(X20,X21,stldt0(xA)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_528])]) ).
fof(f2159,plain,
( ! [X21,X20] :
( aInteger0(sK42(X20,X21,stldt0(xA)))
| sP20(X20,X21,stldt0(xA))
| ~ aSet0(stldt0(xA)) )
| ~ spl45_48
| ~ spl45_199 ),
inference(duplicate_literal_removal,[],[f2137]) ).
fof(f2137,plain,
( ! [X21,X20] :
( aInteger0(sK42(X20,X21,stldt0(xA)))
| sP20(X20,X21,stldt0(xA))
| ~ aSet0(stldt0(xA))
| aInteger0(sK42(X20,X21,stldt0(xA))) )
| ~ spl45_48
| ~ spl45_199 ),
inference(resolution,[],[f2100,f725]) ).
fof(f7660,plain,
( ~ spl45_28
| spl45_527
| ~ spl45_50
| ~ spl45_199 ),
inference(avatar_split_clause,[],[f2158,f2099,f732,f7658,f619]) ).
fof(f7658,plain,
( spl45_527
<=> ! [X29,X28] :
( aInteger0(sK42(X28,X29,stldt0(xB)))
| sP20(X28,X29,stldt0(xB)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_527])]) ).
fof(f2158,plain,
( ! [X28,X29] :
( aInteger0(sK42(X28,X29,stldt0(xB)))
| sP20(X28,X29,stldt0(xB))
| ~ aSet0(stldt0(xB)) )
| ~ spl45_50
| ~ spl45_199 ),
inference(duplicate_literal_removal,[],[f2141]) ).
fof(f2141,plain,
( ! [X28,X29] :
( aInteger0(sK42(X28,X29,stldt0(xB)))
| sP20(X28,X29,stldt0(xB))
| ~ aSet0(stldt0(xB))
| aInteger0(sK42(X28,X29,stldt0(xB))) )
| ~ spl45_50
| ~ spl45_199 ),
inference(resolution,[],[f2100,f733]) ).
fof(f7646,plain,
( spl45_526
| ~ spl45_37
| ~ spl45_185 ),
inference(avatar_split_clause,[],[f1850,f1809,f667,f7644]) ).
fof(f7644,plain,
( spl45_526
<=> ! [X1] :
( sP16(cS1395,X1)
| aElementOf0(sK36(cS1395,X1),X1)
| ~ aSet0(X1)
| ~ aInteger0(sK36(cS1395,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_526])]) ).
fof(f1809,plain,
( spl45_185
<=> ! [X0,X1] :
( sP16(X0,X1)
| ~ aElementOf0(sK36(X0,X1),X0)
| aElementOf0(sK36(X0,X1),X1)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_185])]) ).
fof(f1850,plain,
( ! [X1] :
( sP16(cS1395,X1)
| aElementOf0(sK36(cS1395,X1),X1)
| ~ aSet0(X1)
| ~ aInteger0(sK36(cS1395,X1)) )
| ~ spl45_37
| ~ spl45_185 ),
inference(resolution,[],[f1810,f668]) ).
fof(f1810,plain,
( ! [X0,X1] :
( ~ aElementOf0(sK36(X0,X1),X0)
| sP16(X0,X1)
| aElementOf0(sK36(X0,X1),X1)
| ~ aSet0(X1) )
| ~ spl45_185 ),
inference(avatar_component_clause,[],[f1809]) ).
fof(f7636,plain,
( ~ spl45_12
| spl45_525
| ~ spl45_47
| ~ spl45_175 ),
inference(avatar_split_clause,[],[f1769,f1694,f720,f7634,f539]) ).
fof(f7634,plain,
( spl45_525
<=> ! [X47] :
( aInteger0(sK36(X47,xB))
| aElementOf0(sK36(X47,xB),cS1395)
| sP16(X47,xB) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_525])]) ).
fof(f1694,plain,
( spl45_175
<=> ! [X0,X1] :
( sP16(X0,X1)
| aInteger0(sK36(X0,X1))
| aElementOf0(sK36(X0,X1),X1)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_175])]) ).
fof(f1769,plain,
( ! [X47] :
( aInteger0(sK36(X47,xB))
| sP16(X47,xB)
| ~ aSet0(xB)
| aElementOf0(sK36(X47,xB),cS1395) )
| ~ spl45_47
| ~ spl45_175 ),
inference(resolution,[],[f1695,f721]) ).
fof(f1695,plain,
( ! [X0,X1] :
( aElementOf0(sK36(X0,X1),X1)
| aInteger0(sK36(X0,X1))
| sP16(X0,X1)
| ~ aSet0(X1) )
| ~ spl45_175 ),
inference(avatar_component_clause,[],[f1694]) ).
fof(f7626,plain,
( ~ spl45_10
| spl45_524
| ~ spl45_46
| ~ spl45_175 ),
inference(avatar_split_clause,[],[f1768,f1694,f716,f7624,f529]) ).
fof(f7624,plain,
( spl45_524
<=> ! [X46] :
( aInteger0(sK36(X46,xA))
| aElementOf0(sK36(X46,xA),cS1395)
| sP16(X46,xA) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_524])]) ).
fof(f1768,plain,
( ! [X46] :
( aInteger0(sK36(X46,xA))
| sP16(X46,xA)
| ~ aSet0(xA)
| aElementOf0(sK36(X46,xA),cS1395) )
| ~ spl45_46
| ~ spl45_175 ),
inference(resolution,[],[f1695,f717]) ).
fof(f7573,plain,
( ~ spl45_28
| spl45_523
| ~ spl45_50
| ~ spl45_148 ),
inference(avatar_split_clause,[],[f1467,f1405,f732,f7571,f619]) ).
fof(f7571,plain,
( spl45_523
<=> ! [X14] :
( aSubsetOf0(stldt0(xB),X14)
| aInteger0(sK33(X14,stldt0(xB)))
| ~ aSet0(X14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_523])]) ).
fof(f1467,plain,
( ! [X14] :
( aSubsetOf0(stldt0(xB),X14)
| ~ aSet0(stldt0(xB))
| ~ aSet0(X14)
| aInteger0(sK33(X14,stldt0(xB))) )
| ~ spl45_50
| ~ spl45_148 ),
inference(resolution,[],[f1406,f733]) ).
fof(f7557,plain,
( ~ spl45_28
| spl45_522
| ~ spl45_51
| ~ spl45_148 ),
inference(avatar_split_clause,[],[f1466,f1405,f736,f7555,f619]) ).
fof(f7555,plain,
( spl45_522
<=> ! [X13] :
( aSubsetOf0(stldt0(xB),X13)
| sP11(sK33(X13,stldt0(xB)))
| ~ aSet0(X13) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_522])]) ).
fof(f1466,plain,
( ! [X13] :
( aSubsetOf0(stldt0(xB),X13)
| ~ aSet0(stldt0(xB))
| ~ aSet0(X13)
| sP11(sK33(X13,stldt0(xB))) )
| ~ spl45_51
| ~ spl45_148 ),
inference(resolution,[],[f1406,f737]) ).
fof(f7504,plain,
( spl45_521
| ~ spl45_144
| ~ spl45_400 ),
inference(avatar_split_clause,[],[f5023,f4812,f1343,f7501]) ).
fof(f7501,plain,
( spl45_521
<=> sK29(sK26) = sdtpldt0(sz00,sK29(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_521])]) ).
fof(f4812,plain,
( spl45_400
<=> ! [X2] :
( sK29(X2) = sdtpldt0(sz00,sK29(X2))
| ~ sP7(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_400])]) ).
fof(f5023,plain,
( sK29(sK26) = sdtpldt0(sz00,sK29(sK26))
| ~ spl45_144
| ~ spl45_400 ),
inference(resolution,[],[f4813,f1345]) ).
fof(f4813,plain,
( ! [X2] :
( ~ sP7(X2)
| sK29(X2) = sdtpldt0(sz00,sK29(X2)) )
| ~ spl45_400 ),
inference(avatar_component_clause,[],[f4812]) ).
fof(f7499,plain,
( ~ spl45_26
| spl45_520
| ~ spl45_48
| ~ spl45_148 ),
inference(avatar_split_clause,[],[f1463,f1405,f724,f7497,f609]) ).
fof(f7497,plain,
( spl45_520
<=> ! [X10] :
( aSubsetOf0(stldt0(xA),X10)
| aInteger0(sK33(X10,stldt0(xA)))
| ~ aSet0(X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_520])]) ).
fof(f1463,plain,
( ! [X10] :
( aSubsetOf0(stldt0(xA),X10)
| ~ aSet0(stldt0(xA))
| ~ aSet0(X10)
| aInteger0(sK33(X10,stldt0(xA))) )
| ~ spl45_48
| ~ spl45_148 ),
inference(resolution,[],[f1406,f725]) ).
fof(f7483,plain,
( ~ spl45_26
| spl45_519
| ~ spl45_49
| ~ spl45_148 ),
inference(avatar_split_clause,[],[f1462,f1405,f728,f7481,f609]) ).
fof(f7481,plain,
( spl45_519
<=> ! [X9] :
( aSubsetOf0(stldt0(xA),X9)
| sP7(sK33(X9,stldt0(xA)))
| ~ aSet0(X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_519])]) ).
fof(f1462,plain,
( ! [X9] :
( aSubsetOf0(stldt0(xA),X9)
| ~ aSet0(stldt0(xA))
| ~ aSet0(X9)
| sP7(sK33(X9,stldt0(xA))) )
| ~ spl45_49
| ~ spl45_148 ),
inference(resolution,[],[f1406,f729]) ).
fof(f7412,plain,
( spl45_518
| ~ spl45_171
| ~ spl45_399 ),
inference(avatar_split_clause,[],[f5016,f4808,f1578,f7409]) ).
fof(f7409,plain,
( spl45_518
<=> sK27(sK26) = sdtpldt0(sz00,sK27(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_518])]) ).
fof(f4808,plain,
( spl45_399
<=> ! [X1] :
( sK27(X1) = sdtpldt0(sz00,sK27(X1))
| ~ sP11(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_399])]) ).
fof(f5016,plain,
( sK27(sK26) = sdtpldt0(sz00,sK27(sK26))
| ~ spl45_171
| ~ spl45_399 ),
inference(resolution,[],[f4809,f1580]) ).
fof(f4809,plain,
( ! [X1] :
( ~ sP11(X1)
| sK27(X1) = sdtpldt0(sz00,sK27(X1)) )
| ~ spl45_399 ),
inference(avatar_component_clause,[],[f4808]) ).
fof(f7147,plain,
( spl45_517
| ~ spl45_144
| ~ spl45_397 ),
inference(avatar_split_clause,[],[f4980,f4800,f1343,f7144]) ).
fof(f7144,plain,
( spl45_517
<=> sK29(sK26) = sdtpldt0(sK29(sK26),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_517])]) ).
fof(f4800,plain,
( spl45_397
<=> ! [X2] :
( sK29(X2) = sdtpldt0(sK29(X2),sz00)
| ~ sP7(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_397])]) ).
fof(f4980,plain,
( sK29(sK26) = sdtpldt0(sK29(sK26),sz00)
| ~ spl45_144
| ~ spl45_397 ),
inference(resolution,[],[f4801,f1345]) ).
fof(f4801,plain,
( ! [X2] :
( ~ sP7(X2)
| sK29(X2) = sdtpldt0(sK29(X2),sz00) )
| ~ spl45_397 ),
inference(avatar_component_clause,[],[f4800]) ).
fof(f7014,plain,
( spl45_516
| ~ spl45_79
| ~ spl45_150 ),
inference(avatar_split_clause,[],[f1489,f1413,f866,f7012]) ).
fof(f7012,plain,
( spl45_516
<=> ! [X6,X7] :
( ~ aElementOf0(X6,X7)
| ~ sP14(X7)
| aSet0(szAzrzSzezqlpdtcmdtrp0(X6,sK35(X7,X6)))
| ~ aSet0(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_516])]) ).
fof(f866,plain,
( spl45_79
<=> ! [X0,X1] :
( aSet0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_79])]) ).
fof(f1489,plain,
( ! [X6,X7] :
( ~ aElementOf0(X6,X7)
| ~ sP14(X7)
| aSet0(szAzrzSzezqlpdtcmdtrp0(X6,sK35(X7,X6)))
| ~ aSet0(X7) )
| ~ spl45_79
| ~ spl45_150 ),
inference(resolution,[],[f1414,f867]) ).
fof(f867,plain,
( ! [X0,X1] :
( ~ aSubsetOf0(X1,X0)
| aSet0(X1)
| ~ aSet0(X0) )
| ~ spl45_79 ),
inference(avatar_component_clause,[],[f866]) ).
fof(f7010,plain,
( spl45_515
| ~ spl45_122
| ~ spl45_146 ),
inference(avatar_split_clause,[],[f1449,f1397,f1248,f7008]) ).
fof(f7008,plain,
( spl45_515
<=> ! [X0] :
( aElementOf0(sK24(sK29(X0),X0),stldt0(xA))
| ~ sP7(X0)
| ~ sP3(sK29(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_515])]) ).
fof(f1449,plain,
( ! [X0] :
( aElementOf0(sK24(sK29(X0),X0),stldt0(xA))
| ~ sP7(X0)
| ~ sP3(sK29(X0),X0) )
| ~ spl45_122
| ~ spl45_146 ),
inference(resolution,[],[f1398,f1249]) ).
fof(f7006,plain,
( spl45_514
| ~ spl45_122
| ~ spl45_145 ),
inference(avatar_split_clause,[],[f1445,f1393,f1248,f7004]) ).
fof(f7004,plain,
( spl45_514
<=> ! [X0] :
( aElementOf0(sK24(sK27(X0),X0),stldt0(xB))
| ~ sP11(X0)
| ~ sP3(sK27(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_514])]) ).
fof(f1445,plain,
( ! [X0] :
( aElementOf0(sK24(sK27(X0),X0),stldt0(xB))
| ~ sP11(X0)
| ~ sP3(sK27(X0),X0) )
| ~ spl45_122
| ~ spl45_145 ),
inference(resolution,[],[f1394,f1249]) ).
fof(f7002,plain,
( spl45_513
| ~ spl45_39
| ~ spl45_143 ),
inference(avatar_split_clause,[],[f1388,f1338,f676,f7000]) ).
fof(f7000,plain,
( spl45_513
<=> ! [X22,X21] :
( sdtpldt0(X21,sK29(X22)) = sdtpldt0(sK29(X22),X21)
| ~ aInteger0(X21)
| ~ sP7(X22) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_513])]) ).
fof(f676,plain,
( spl45_39
<=> ! [X0] :
( aInteger0(sK29(X0))
| ~ sP7(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_39])]) ).
fof(f1388,plain,
( ! [X21,X22] :
( sdtpldt0(X21,sK29(X22)) = sdtpldt0(sK29(X22),X21)
| ~ aInteger0(X21)
| ~ sP7(X22) )
| ~ spl45_39
| ~ spl45_143 ),
inference(resolution,[],[f1339,f677]) ).
fof(f677,plain,
( ! [X0] :
( aInteger0(sK29(X0))
| ~ sP7(X0) )
| ~ spl45_39 ),
inference(avatar_component_clause,[],[f676]) ).
fof(f6998,plain,
( spl45_512
| ~ spl45_38
| ~ spl45_143 ),
inference(avatar_split_clause,[],[f1386,f1338,f672,f6996]) ).
fof(f6996,plain,
( spl45_512
<=> ! [X16,X15] :
( sdtpldt0(X15,sK27(X16)) = sdtpldt0(sK27(X16),X15)
| ~ aInteger0(X15)
| ~ sP11(X16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_512])]) ).
fof(f672,plain,
( spl45_38
<=> ! [X0] :
( aInteger0(sK27(X0))
| ~ sP11(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_38])]) ).
fof(f1386,plain,
( ! [X16,X15] :
( sdtpldt0(X15,sK27(X16)) = sdtpldt0(sK27(X16),X15)
| ~ aInteger0(X15)
| ~ sP11(X16) )
| ~ spl45_38
| ~ spl45_143 ),
inference(resolution,[],[f1339,f673]) ).
fof(f673,plain,
( ! [X0] :
( aInteger0(sK27(X0))
| ~ sP11(X0) )
| ~ spl45_38 ),
inference(avatar_component_clause,[],[f672]) ).
fof(f6994,plain,
( spl45_511
| ~ spl45_171
| ~ spl45_396 ),
inference(avatar_split_clause,[],[f4978,f4796,f1578,f6991]) ).
fof(f6991,plain,
( spl45_511
<=> sK27(sK26) = sdtpldt0(sK27(sK26),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_511])]) ).
fof(f4796,plain,
( spl45_396
<=> ! [X1] :
( sK27(X1) = sdtpldt0(sK27(X1),sz00)
| ~ sP11(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_396])]) ).
fof(f4978,plain,
( sK27(sK26) = sdtpldt0(sK27(sK26),sz00)
| ~ spl45_171
| ~ spl45_396 ),
inference(resolution,[],[f4797,f1580]) ).
fof(f4797,plain,
( ! [X1] :
( ~ sP11(X1)
| sK27(X1) = sdtpldt0(sK27(X1),sz00) )
| ~ spl45_396 ),
inference(avatar_component_clause,[],[f4796]) ).
fof(f6989,plain,
( spl45_510
| ~ spl45_40
| ~ spl45_143 ),
inference(avatar_split_clause,[],[f1381,f1338,f680,f6987]) ).
fof(f6987,plain,
( spl45_510
<=> ! [X2,X3] :
( sdtpldt0(X2,smndt0(X3)) = sdtpldt0(smndt0(X3),X2)
| ~ aInteger0(X2)
| ~ aInteger0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_510])]) ).
fof(f1381,plain,
( ! [X2,X3] :
( sdtpldt0(X2,smndt0(X3)) = sdtpldt0(smndt0(X3),X2)
| ~ aInteger0(X2)
| ~ aInteger0(X3) )
| ~ spl45_40
| ~ spl45_143 ),
inference(resolution,[],[f1339,f681]) ).
fof(f6985,plain,
( spl45_509
| ~ spl45_39
| ~ spl45_142 ),
inference(avatar_split_clause,[],[f1375,f1334,f676,f6983]) ).
fof(f6983,plain,
( spl45_509
<=> ! [X22,X21] :
( sdtasdt0(X21,sK29(X22)) = sdtasdt0(sK29(X22),X21)
| ~ aInteger0(X21)
| ~ sP7(X22) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_509])]) ).
fof(f1375,plain,
( ! [X21,X22] :
( sdtasdt0(X21,sK29(X22)) = sdtasdt0(sK29(X22),X21)
| ~ aInteger0(X21)
| ~ sP7(X22) )
| ~ spl45_39
| ~ spl45_142 ),
inference(resolution,[],[f1335,f677]) ).
fof(f6981,plain,
( spl45_508
| ~ spl45_38
| ~ spl45_142 ),
inference(avatar_split_clause,[],[f1373,f1334,f672,f6979]) ).
fof(f6979,plain,
( spl45_508
<=> ! [X16,X15] :
( sdtasdt0(X15,sK27(X16)) = sdtasdt0(sK27(X16),X15)
| ~ aInteger0(X15)
| ~ sP11(X16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_508])]) ).
fof(f1373,plain,
( ! [X16,X15] :
( sdtasdt0(X15,sK27(X16)) = sdtasdt0(sK27(X16),X15)
| ~ aInteger0(X15)
| ~ sP11(X16) )
| ~ spl45_38
| ~ spl45_142 ),
inference(resolution,[],[f1335,f673]) ).
fof(f6977,plain,
( spl45_507
| ~ spl45_40
| ~ spl45_142 ),
inference(avatar_split_clause,[],[f1368,f1334,f680,f6975]) ).
fof(f6975,plain,
( spl45_507
<=> ! [X2,X3] :
( sdtasdt0(X2,smndt0(X3)) = sdtasdt0(smndt0(X3),X2)
| ~ aInteger0(X2)
| ~ aInteger0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_507])]) ).
fof(f1368,plain,
( ! [X2,X3] :
( sdtasdt0(X2,smndt0(X3)) = sdtasdt0(smndt0(X3),X2)
| ~ aInteger0(X2)
| ~ aInteger0(X3) )
| ~ spl45_40
| ~ spl45_142 ),
inference(resolution,[],[f1335,f681]) ).
fof(f6973,plain,
( spl45_506
| ~ spl45_122
| ~ spl45_133 ),
inference(avatar_split_clause,[],[f1355,f1294,f1248,f6971]) ).
fof(f6971,plain,
( spl45_506
<=> ! [X0,X1] :
( aInteger0(sK24(X0,X1))
| ~ sP5(X0,X1,sK24(X0,X1))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_506])]) ).
fof(f1355,plain,
( ! [X0,X1] :
( aInteger0(sK24(X0,X1))
| ~ sP5(X0,X1,sK24(X0,X1))
| ~ sP3(X0,X1) )
| ~ spl45_122
| ~ spl45_133 ),
inference(resolution,[],[f1295,f1249]) ).
fof(f6969,plain,
( spl45_505
| ~ spl45_122
| ~ spl45_132 ),
inference(avatar_split_clause,[],[f1351,f1290,f1248,f6967]) ).
fof(f6967,plain,
( spl45_505
<=> ! [X0,X1] :
( aInteger0(sK24(X0,X1))
| ~ sP9(X0,X1,sK24(X0,X1))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_505])]) ).
fof(f1351,plain,
( ! [X0,X1] :
( aInteger0(sK24(X0,X1))
| ~ sP9(X0,X1,sK24(X0,X1))
| ~ sP3(X0,X1) )
| ~ spl45_122
| ~ spl45_132 ),
inference(resolution,[],[f1291,f1249]) ).
fof(f6965,plain,
( spl45_504
| ~ spl45_122
| ~ spl45_131 ),
inference(avatar_split_clause,[],[f1347,f1286,f1248,f6963]) ).
fof(f6963,plain,
( spl45_504
<=> ! [X0,X1] :
( aInteger0(sK24(X0,X1))
| ~ sP1(X0,X1,sK24(X0,X1))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_504])]) ).
fof(f1347,plain,
( ! [X0,X1] :
( aInteger0(sK24(X0,X1))
| ~ sP1(X0,X1,sK24(X0,X1))
| ~ sP3(X0,X1) )
| ~ spl45_122
| ~ spl45_131 ),
inference(resolution,[],[f1287,f1249]) ).
fof(f6961,plain,
( spl45_503
| ~ spl45_77
| ~ spl45_95 ),
inference(avatar_split_clause,[],[f1039,f980,f858,f6959]) ).
fof(f6959,plain,
( spl45_503
<=> ! [X13,X12] :
( ~ aInteger0(X12)
| ~ aInteger0(X13)
| sdtasdt0(X13,X12) = sdtpldt0(sz00,sdtasdt0(X13,X12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_503])]) ).
fof(f1039,plain,
( ! [X12,X13] :
( ~ aInteger0(X12)
| ~ aInteger0(X13)
| sdtasdt0(X13,X12) = sdtpldt0(sz00,sdtasdt0(X13,X12)) )
| ~ spl45_77
| ~ spl45_95 ),
inference(resolution,[],[f981,f859]) ).
fof(f6957,plain,
( spl45_502
| ~ spl45_76
| ~ spl45_95 ),
inference(avatar_split_clause,[],[f1038,f980,f854,f6955]) ).
fof(f6955,plain,
( spl45_502
<=> ! [X11,X10] :
( ~ aInteger0(X10)
| ~ aInteger0(X11)
| sdtasdt0(X11,X10) = sdtpldt0(sdtasdt0(X11,X10),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_502])]) ).
fof(f1038,plain,
( ! [X10,X11] :
( ~ aInteger0(X10)
| ~ aInteger0(X11)
| sdtasdt0(X11,X10) = sdtpldt0(sdtasdt0(X11,X10),sz00) )
| ~ spl45_76
| ~ spl45_95 ),
inference(resolution,[],[f981,f855]) ).
fof(f6953,plain,
( spl45_501
| ~ spl45_75
| ~ spl45_95 ),
inference(avatar_split_clause,[],[f1037,f980,f850,f6951]) ).
fof(f6951,plain,
( spl45_501
<=> ! [X9,X8] :
( ~ aInteger0(X8)
| ~ aInteger0(X9)
| sdtasdt0(X9,X8) = sdtasdt0(sz10,sdtasdt0(X9,X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_501])]) ).
fof(f1037,plain,
( ! [X8,X9] :
( ~ aInteger0(X8)
| ~ aInteger0(X9)
| sdtasdt0(X9,X8) = sdtasdt0(sz10,sdtasdt0(X9,X8)) )
| ~ spl45_75
| ~ spl45_95 ),
inference(resolution,[],[f981,f851]) ).
fof(f6949,plain,
( spl45_500
| ~ spl45_144
| ~ spl45_394 ),
inference(avatar_split_clause,[],[f4942,f4788,f1343,f6946]) ).
fof(f6946,plain,
( spl45_500
<=> sK29(sK26) = sdtasdt0(sz10,sK29(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_500])]) ).
fof(f4788,plain,
( spl45_394
<=> ! [X2] :
( sK29(X2) = sdtasdt0(sz10,sK29(X2))
| ~ sP7(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_394])]) ).
fof(f4942,plain,
( sK29(sK26) = sdtasdt0(sz10,sK29(sK26))
| ~ spl45_144
| ~ spl45_394 ),
inference(resolution,[],[f4789,f1345]) ).
fof(f4789,plain,
( ! [X2] :
( ~ sP7(X2)
| sK29(X2) = sdtasdt0(sz10,sK29(X2)) )
| ~ spl45_394 ),
inference(avatar_component_clause,[],[f4788]) ).
fof(f6944,plain,
( spl45_499
| ~ spl45_74
| ~ spl45_95 ),
inference(avatar_split_clause,[],[f1036,f980,f846,f6942]) ).
fof(f6942,plain,
( spl45_499
<=> ! [X6,X7] :
( ~ aInteger0(X6)
| ~ aInteger0(X7)
| sdtasdt0(X7,X6) = sdtasdt0(sdtasdt0(X7,X6),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_499])]) ).
fof(f1036,plain,
( ! [X6,X7] :
( ~ aInteger0(X6)
| ~ aInteger0(X7)
| sdtasdt0(X7,X6) = sdtasdt0(sdtasdt0(X7,X6),sz10) )
| ~ spl45_74
| ~ spl45_95 ),
inference(resolution,[],[f981,f847]) ).
fof(f6940,plain,
( spl45_498
| ~ spl45_77
| ~ spl45_94 ),
inference(avatar_split_clause,[],[f1030,f976,f858,f6938]) ).
fof(f6938,plain,
( spl45_498
<=> ! [X13,X12] :
( ~ aInteger0(X12)
| ~ aInteger0(X13)
| sdtpldt0(X13,X12) = sdtpldt0(sz00,sdtpldt0(X13,X12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_498])]) ).
fof(f1030,plain,
( ! [X12,X13] :
( ~ aInteger0(X12)
| ~ aInteger0(X13)
| sdtpldt0(X13,X12) = sdtpldt0(sz00,sdtpldt0(X13,X12)) )
| ~ spl45_77
| ~ spl45_94 ),
inference(resolution,[],[f977,f859]) ).
fof(f6936,plain,
( spl45_497
| ~ spl45_76
| ~ spl45_94 ),
inference(avatar_split_clause,[],[f1029,f976,f854,f6934]) ).
fof(f6934,plain,
( spl45_497
<=> ! [X11,X10] :
( ~ aInteger0(X10)
| ~ aInteger0(X11)
| sdtpldt0(X11,X10) = sdtpldt0(sdtpldt0(X11,X10),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_497])]) ).
fof(f1029,plain,
( ! [X10,X11] :
( ~ aInteger0(X10)
| ~ aInteger0(X11)
| sdtpldt0(X11,X10) = sdtpldt0(sdtpldt0(X11,X10),sz00) )
| ~ spl45_76
| ~ spl45_94 ),
inference(resolution,[],[f977,f855]) ).
fof(f6932,plain,
( spl45_496
| ~ spl45_75
| ~ spl45_94 ),
inference(avatar_split_clause,[],[f1028,f976,f850,f6930]) ).
fof(f6930,plain,
( spl45_496
<=> ! [X9,X8] :
( ~ aInteger0(X8)
| ~ aInteger0(X9)
| sdtpldt0(X9,X8) = sdtasdt0(sz10,sdtpldt0(X9,X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_496])]) ).
fof(f1028,plain,
( ! [X8,X9] :
( ~ aInteger0(X8)
| ~ aInteger0(X9)
| sdtpldt0(X9,X8) = sdtasdt0(sz10,sdtpldt0(X9,X8)) )
| ~ spl45_75
| ~ spl45_94 ),
inference(resolution,[],[f977,f851]) ).
fof(f6928,plain,
( spl45_495
| ~ spl45_74
| ~ spl45_94 ),
inference(avatar_split_clause,[],[f1027,f976,f846,f6926]) ).
fof(f6926,plain,
( spl45_495
<=> ! [X6,X7] :
( ~ aInteger0(X6)
| ~ aInteger0(X7)
| sdtpldt0(X7,X6) = sdtasdt0(sdtpldt0(X7,X6),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_495])]) ).
fof(f1027,plain,
( ! [X6,X7] :
( ~ aInteger0(X6)
| ~ aInteger0(X7)
| sdtpldt0(X7,X6) = sdtasdt0(sdtpldt0(X7,X6),sz10) )
| ~ spl45_74
| ~ spl45_94 ),
inference(resolution,[],[f977,f847]) ).
fof(f6924,plain,
( spl45_494
| ~ spl45_78
| ~ spl45_83 ),
inference(avatar_split_clause,[],[f996,f931,f862,f6922]) ).
fof(f6922,plain,
( spl45_494
<=> ! [X4,X3] :
( sz00 = sdtpldt0(smndt0(sK32(X3,X4)),sK32(X3,X4))
| ~ sP12(X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_494])]) ).
fof(f996,plain,
( ! [X3,X4] :
( sz00 = sdtpldt0(smndt0(sK32(X3,X4)),sK32(X3,X4))
| ~ sP12(X3,X4) )
| ~ spl45_78
| ~ spl45_83 ),
inference(resolution,[],[f932,f863]) ).
fof(f6920,plain,
( spl45_493
| ~ spl45_78
| ~ spl45_82 ),
inference(avatar_split_clause,[],[f989,f927,f862,f6918]) ).
fof(f6918,plain,
( spl45_493
<=> ! [X4,X3] :
( sz00 = sdtpldt0(sK32(X3,X4),smndt0(sK32(X3,X4)))
| ~ sP12(X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_493])]) ).
fof(f989,plain,
( ! [X3,X4] :
( sz00 = sdtpldt0(sK32(X3,X4),smndt0(sK32(X3,X4)))
| ~ sP12(X3,X4) )
| ~ spl45_78
| ~ spl45_82 ),
inference(resolution,[],[f928,f863]) ).
fof(f6844,plain,
( spl45_492
| ~ spl45_47
| ~ spl45_166 ),
inference(avatar_split_clause,[],[f1677,f1558,f720,f6842]) ).
fof(f6842,plain,
( spl45_492
<=> ! [X47] :
( aElementOf0(sK38(X47,xB),X47)
| sP18(X47,xB)
| aElementOf0(sK37(X47,xB),cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_492])]) ).
fof(f1677,plain,
( ! [X47] :
( aElementOf0(sK38(X47,xB),X47)
| sP18(X47,xB)
| aElementOf0(sK37(X47,xB),cS1395) )
| ~ spl45_47
| ~ spl45_166 ),
inference(resolution,[],[f1559,f721]) ).
fof(f6840,plain,
( spl45_491
| ~ spl45_171
| ~ spl45_393 ),
inference(avatar_split_clause,[],[f4940,f4784,f1578,f6837]) ).
fof(f6837,plain,
( spl45_491
<=> sK27(sK26) = sdtasdt0(sz10,sK27(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_491])]) ).
fof(f4784,plain,
( spl45_393
<=> ! [X1] :
( sK27(X1) = sdtasdt0(sz10,sK27(X1))
| ~ sP11(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_393])]) ).
fof(f4940,plain,
( sK27(sK26) = sdtasdt0(sz10,sK27(sK26))
| ~ spl45_171
| ~ spl45_393 ),
inference(resolution,[],[f4785,f1580]) ).
fof(f4785,plain,
( ! [X1] :
( ~ sP11(X1)
| sK27(X1) = sdtasdt0(sz10,sK27(X1)) )
| ~ spl45_393 ),
inference(avatar_component_clause,[],[f4784]) ).
fof(f6835,plain,
( spl45_490
| ~ spl45_46
| ~ spl45_166 ),
inference(avatar_split_clause,[],[f1676,f1558,f716,f6833]) ).
fof(f6833,plain,
( spl45_490
<=> ! [X46] :
( aElementOf0(sK38(X46,xA),X46)
| sP18(X46,xA)
| aElementOf0(sK37(X46,xA),cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_490])]) ).
fof(f1676,plain,
( ! [X46] :
( aElementOf0(sK38(X46,xA),X46)
| sP18(X46,xA)
| aElementOf0(sK37(X46,xA),cS1395) )
| ~ spl45_46
| ~ spl45_166 ),
inference(resolution,[],[f1559,f717]) ).
fof(f6629,plain,
( spl45_489
| ~ spl45_144
| ~ spl45_390 ),
inference(avatar_split_clause,[],[f4905,f4771,f1343,f6626]) ).
fof(f6626,plain,
( spl45_489
<=> sK29(sK26) = sdtasdt0(sK29(sK26),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_489])]) ).
fof(f4771,plain,
( spl45_390
<=> ! [X2] :
( sK29(X2) = sdtasdt0(sK29(X2),sz10)
| ~ sP7(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_390])]) ).
fof(f4905,plain,
( sK29(sK26) = sdtasdt0(sK29(sK26),sz10)
| ~ spl45_144
| ~ spl45_390 ),
inference(resolution,[],[f4772,f1345]) ).
fof(f4772,plain,
( ! [X2] :
( ~ sP7(X2)
| sK29(X2) = sdtasdt0(sK29(X2),sz10) )
| ~ spl45_390 ),
inference(avatar_component_clause,[],[f4771]) ).
fof(f6624,plain,
( spl45_488
| ~ spl45_192 ),
inference(avatar_split_clause,[],[f1939,f1837,f6622]) ).
fof(f6622,plain,
( spl45_488
<=> ! [X0,X1] :
( sP23(X0,X1,sdtbsmnsldt0(X1,X0))
| ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_488])]) ).
fof(f1837,plain,
( spl45_192
<=> ! [X2,X0,X1] :
( sP23(X1,X0,X2)
| sdtbsmnsldt0(X0,X1) != X2
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_192])]) ).
fof(f1939,plain,
( ! [X0,X1] :
( sP23(X0,X1,sdtbsmnsldt0(X1,X0))
| ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395) )
| ~ spl45_192 ),
inference(equality_resolution,[],[f1838]) ).
fof(f1838,plain,
( ! [X2,X0,X1] :
( sdtbsmnsldt0(X0,X1) != X2
| sP23(X1,X0,X2)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) )
| ~ spl45_192 ),
inference(avatar_component_clause,[],[f1837]) ).
fof(f6620,plain,
( spl45_487
| ~ spl45_190 ),
inference(avatar_split_clause,[],[f1902,f1829,f6618]) ).
fof(f6618,plain,
( spl45_487
<=> ! [X0,X1] :
( sP22(X0,X1,sdtslmnbsdt0(X1,X0))
| ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_487])]) ).
fof(f1829,plain,
( spl45_190
<=> ! [X2,X0,X1] :
( sP22(X1,X0,X2)
| sdtslmnbsdt0(X0,X1) != X2
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_190])]) ).
fof(f1902,plain,
( ! [X0,X1] :
( sP22(X0,X1,sdtslmnbsdt0(X1,X0))
| ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395) )
| ~ spl45_190 ),
inference(equality_resolution,[],[f1830]) ).
fof(f1830,plain,
( ! [X2,X0,X1] :
( sdtslmnbsdt0(X0,X1) != X2
| sP22(X1,X0,X2)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) )
| ~ spl45_190 ),
inference(avatar_component_clause,[],[f1829]) ).
fof(f6616,plain,
( spl45_486
| ~ spl45_184 ),
inference(avatar_split_clause,[],[f1848,f1805,f6614]) ).
fof(f6614,plain,
( spl45_486
<=> ! [X0,X1] :
( sP12(sdtasdt0(X0,X1),X0)
| ~ aInteger0(X1)
| sz00 = X0
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_486])]) ).
fof(f1805,plain,
( spl45_184
<=> ! [X2,X0,X1] :
( sP12(X0,X1)
| sdtasdt0(X1,X2) != X0
| ~ aInteger0(X2)
| sz00 = X1
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_184])]) ).
fof(f1848,plain,
( ! [X0,X1] :
( sP12(sdtasdt0(X0,X1),X0)
| ~ aInteger0(X1)
| sz00 = X0
| ~ aInteger0(X0) )
| ~ spl45_184 ),
inference(equality_resolution,[],[f1806]) ).
fof(f1806,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X1,X2) != X0
| sP12(X0,X1)
| ~ aInteger0(X2)
| sz00 = X1
| ~ aInteger0(X1) )
| ~ spl45_184 ),
inference(avatar_component_clause,[],[f1805]) ).
fof(f6612,plain,
( spl45_485
| ~ spl45_73
| ~ spl45_108 ),
inference(avatar_split_clause,[],[f1188,f1097,f842,f6610]) ).
fof(f6610,plain,
( spl45_485
<=> ! [X4,X5] :
( ~ aElementOf0(X4,X5)
| ~ sP14(X5)
| sz00 = sdtasdt0(sz00,sK35(X5,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_485])]) ).
fof(f842,plain,
( spl45_73
<=> ! [X0] :
( sz00 = sdtasdt0(sz00,X0)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_73])]) ).
fof(f1188,plain,
( ! [X4,X5] :
( ~ aElementOf0(X4,X5)
| ~ sP14(X5)
| sz00 = sdtasdt0(sz00,sK35(X5,X4)) )
| ~ spl45_73
| ~ spl45_108 ),
inference(resolution,[],[f1098,f843]) ).
fof(f843,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sz00,X0) )
| ~ spl45_73 ),
inference(avatar_component_clause,[],[f842]) ).
fof(f6608,plain,
( spl45_484
| ~ spl45_171
| ~ spl45_389 ),
inference(avatar_split_clause,[],[f4903,f4767,f1578,f6605]) ).
fof(f6605,plain,
( spl45_484
<=> sK27(sK26) = sdtasdt0(sK27(sK26),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_484])]) ).
fof(f4767,plain,
( spl45_389
<=> ! [X1] :
( sK27(X1) = sdtasdt0(sK27(X1),sz10)
| ~ sP11(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_389])]) ).
fof(f4903,plain,
( sK27(sK26) = sdtasdt0(sK27(sK26),sz10)
| ~ spl45_171
| ~ spl45_389 ),
inference(resolution,[],[f4768,f1580]) ).
fof(f4768,plain,
( ! [X1] :
( ~ sP11(X1)
| sK27(X1) = sdtasdt0(sK27(X1),sz10) )
| ~ spl45_389 ),
inference(avatar_component_clause,[],[f4767]) ).
fof(f6603,plain,
( spl45_483
| ~ spl45_72
| ~ spl45_108 ),
inference(avatar_split_clause,[],[f1187,f1097,f838,f6601]) ).
fof(f6601,plain,
( spl45_483
<=> ! [X2,X3] :
( ~ aElementOf0(X2,X3)
| ~ sP14(X3)
| sz00 = sdtasdt0(sK35(X3,X2),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_483])]) ).
fof(f838,plain,
( spl45_72
<=> ! [X0] :
( sz00 = sdtasdt0(X0,sz00)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_72])]) ).
fof(f1187,plain,
( ! [X2,X3] :
( ~ aElementOf0(X2,X3)
| ~ sP14(X3)
| sz00 = sdtasdt0(sK35(X3,X2),sz00) )
| ~ spl45_72
| ~ spl45_108 ),
inference(resolution,[],[f1098,f839]) ).
fof(f839,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(X0,sz00) )
| ~ spl45_72 ),
inference(avatar_component_clause,[],[f838]) ).
fof(f6599,plain,
( spl45_482
| ~ spl45_73
| ~ spl45_104 ),
inference(avatar_split_clause,[],[f1155,f1080,f842,f6597]) ).
fof(f6597,plain,
( spl45_482
<=> ! [X6,X8,X7] :
( ~ sP4(X6,X7,X8)
| sz00 = sdtasdt0(sz00,sK30(X6,X7,X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_482])]) ).
fof(f1155,plain,
( ! [X8,X6,X7] :
( ~ sP4(X6,X7,X8)
| sz00 = sdtasdt0(sz00,sK30(X6,X7,X8)) )
| ~ spl45_73
| ~ spl45_104 ),
inference(resolution,[],[f1081,f843]) ).
fof(f6595,plain,
( spl45_481
| ~ spl45_72
| ~ spl45_104 ),
inference(avatar_split_clause,[],[f1154,f1080,f838,f6593]) ).
fof(f6593,plain,
( spl45_481
<=> ! [X4,X5,X3] :
( ~ sP4(X3,X4,X5)
| sz00 = sdtasdt0(sK30(X3,X4,X5),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_481])]) ).
fof(f1154,plain,
( ! [X3,X4,X5] :
( ~ sP4(X3,X4,X5)
| sz00 = sdtasdt0(sK30(X3,X4,X5),sz00) )
| ~ spl45_72
| ~ spl45_104 ),
inference(resolution,[],[f1081,f839]) ).
fof(f6591,plain,
( spl45_480
| ~ spl45_73
| ~ spl45_102 ),
inference(avatar_split_clause,[],[f1145,f1072,f842,f6589]) ).
fof(f6589,plain,
( spl45_480
<=> ! [X6,X8,X7] :
( ~ sP8(X6,X7,X8)
| sz00 = sdtasdt0(sz00,sK28(X6,X7,X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_480])]) ).
fof(f1145,plain,
( ! [X8,X6,X7] :
( ~ sP8(X6,X7,X8)
| sz00 = sdtasdt0(sz00,sK28(X6,X7,X8)) )
| ~ spl45_73
| ~ spl45_102 ),
inference(resolution,[],[f1073,f843]) ).
fof(f6587,plain,
( spl45_479
| ~ spl45_72
| ~ spl45_102 ),
inference(avatar_split_clause,[],[f1144,f1072,f838,f6585]) ).
fof(f6585,plain,
( spl45_479
<=> ! [X4,X5,X3] :
( ~ sP8(X3,X4,X5)
| sz00 = sdtasdt0(sK28(X3,X4,X5),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_479])]) ).
fof(f1144,plain,
( ! [X3,X4,X5] :
( ~ sP8(X3,X4,X5)
| sz00 = sdtasdt0(sK28(X3,X4,X5),sz00) )
| ~ spl45_72
| ~ spl45_102 ),
inference(resolution,[],[f1073,f839]) ).
fof(f6583,plain,
( spl45_478
| ~ spl45_73
| ~ spl45_100 ),
inference(avatar_split_clause,[],[f1134,f1064,f842,f6581]) ).
fof(f6581,plain,
( spl45_478
<=> ! [X6,X8,X7] :
( ~ sP0(X6,X7,X8)
| sz00 = sdtasdt0(sz00,sK25(X6,X7,X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_478])]) ).
fof(f1134,plain,
( ! [X8,X6,X7] :
( ~ sP0(X6,X7,X8)
| sz00 = sdtasdt0(sz00,sK25(X6,X7,X8)) )
| ~ spl45_73
| ~ spl45_100 ),
inference(resolution,[],[f1065,f843]) ).
fof(f6579,plain,
( spl45_477
| ~ spl45_72
| ~ spl45_100 ),
inference(avatar_split_clause,[],[f1133,f1064,f838,f6577]) ).
fof(f6577,plain,
( spl45_477
<=> ! [X4,X5,X3] :
( ~ sP0(X3,X4,X5)
| sz00 = sdtasdt0(sK25(X3,X4,X5),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_477])]) ).
fof(f1133,plain,
( ! [X3,X4,X5] :
( ~ sP0(X3,X4,X5)
| sz00 = sdtasdt0(sK25(X3,X4,X5),sz00) )
| ~ spl45_72
| ~ spl45_100 ),
inference(resolution,[],[f1065,f839]) ).
fof(f6575,plain,
( spl45_476
| ~ spl45_77
| ~ spl45_78 ),
inference(avatar_split_clause,[],[f921,f862,f858,f6573]) ).
fof(f6573,plain,
( spl45_476
<=> ! [X13,X12] :
( ~ sP12(X12,X13)
| sK32(X12,X13) = sdtpldt0(sz00,sK32(X12,X13)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_476])]) ).
fof(f921,plain,
( ! [X12,X13] :
( ~ sP12(X12,X13)
| sK32(X12,X13) = sdtpldt0(sz00,sK32(X12,X13)) )
| ~ spl45_77
| ~ spl45_78 ),
inference(resolution,[],[f863,f859]) ).
fof(f6571,plain,
( spl45_475
| ~ spl45_76
| ~ spl45_78 ),
inference(avatar_split_clause,[],[f920,f862,f854,f6569]) ).
fof(f6569,plain,
( spl45_475
<=> ! [X11,X10] :
( ~ sP12(X10,X11)
| sK32(X10,X11) = sdtpldt0(sK32(X10,X11),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_475])]) ).
fof(f920,plain,
( ! [X10,X11] :
( ~ sP12(X10,X11)
| sK32(X10,X11) = sdtpldt0(sK32(X10,X11),sz00) )
| ~ spl45_76
| ~ spl45_78 ),
inference(resolution,[],[f863,f855]) ).
fof(f6567,plain,
( spl45_474
| ~ spl45_75
| ~ spl45_78 ),
inference(avatar_split_clause,[],[f919,f862,f850,f6565]) ).
fof(f6565,plain,
( spl45_474
<=> ! [X9,X8] :
( ~ sP12(X8,X9)
| sK32(X8,X9) = sdtasdt0(sz10,sK32(X8,X9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_474])]) ).
fof(f919,plain,
( ! [X8,X9] :
( ~ sP12(X8,X9)
| sK32(X8,X9) = sdtasdt0(sz10,sK32(X8,X9)) )
| ~ spl45_75
| ~ spl45_78 ),
inference(resolution,[],[f863,f851]) ).
fof(f6550,plain,
( spl45_473
| ~ spl45_74
| ~ spl45_78 ),
inference(avatar_split_clause,[],[f918,f862,f846,f6548]) ).
fof(f6548,plain,
( spl45_473
<=> ! [X6,X7] :
( ~ sP12(X6,X7)
| sK32(X6,X7) = sdtasdt0(sK32(X6,X7),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_473])]) ).
fof(f918,plain,
( ! [X6,X7] :
( ~ sP12(X6,X7)
| sK32(X6,X7) = sdtasdt0(sK32(X6,X7),sz10) )
| ~ spl45_74
| ~ spl45_78 ),
inference(resolution,[],[f863,f847]) ).
fof(f6501,plain,
( ~ spl45_26
| spl45_472
| ~ spl45_48
| ~ spl45_175 ),
inference(avatar_split_clause,[],[f1774,f1694,f724,f6499,f609]) ).
fof(f6499,plain,
( spl45_472
<=> ! [X10] :
( aInteger0(sK36(X10,stldt0(xA)))
| sP16(X10,stldt0(xA)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_472])]) ).
fof(f1774,plain,
( ! [X10] :
( aInteger0(sK36(X10,stldt0(xA)))
| sP16(X10,stldt0(xA))
| ~ aSet0(stldt0(xA)) )
| ~ spl45_48
| ~ spl45_175 ),
inference(duplicate_literal_removal,[],[f1752]) ).
fof(f1752,plain,
( ! [X10] :
( aInteger0(sK36(X10,stldt0(xA)))
| sP16(X10,stldt0(xA))
| ~ aSet0(stldt0(xA))
| aInteger0(sK36(X10,stldt0(xA))) )
| ~ spl45_48
| ~ spl45_175 ),
inference(resolution,[],[f1695,f725]) ).
fof(f6460,plain,
( ~ spl45_28
| spl45_471
| ~ spl45_50
| ~ spl45_175 ),
inference(avatar_split_clause,[],[f1773,f1694,f732,f6458,f619]) ).
fof(f6458,plain,
( spl45_471
<=> ! [X14] :
( aInteger0(sK36(X14,stldt0(xB)))
| sP16(X14,stldt0(xB)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_471])]) ).
fof(f1773,plain,
( ! [X14] :
( aInteger0(sK36(X14,stldt0(xB)))
| sP16(X14,stldt0(xB))
| ~ aSet0(stldt0(xB)) )
| ~ spl45_50
| ~ spl45_175 ),
inference(duplicate_literal_removal,[],[f1756]) ).
fof(f1756,plain,
( ! [X14] :
( aInteger0(sK36(X14,stldt0(xB)))
| sP16(X14,stldt0(xB))
| ~ aSet0(stldt0(xB))
| aInteger0(sK36(X14,stldt0(xB))) )
| ~ spl45_50
| ~ spl45_175 ),
inference(resolution,[],[f1695,f733]) ).
fof(f6456,plain,
( spl45_470
| ~ spl45_47
| ~ spl45_151 ),
inference(avatar_split_clause,[],[f1511,f1417,f720,f6454]) ).
fof(f6454,plain,
( spl45_470
<=> ! [X29] :
( aInteger0(sK37(X29,xB))
| sP18(X29,xB)
| aElementOf0(sK37(X29,xB),cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_470])]) ).
fof(f1417,plain,
( spl45_151
<=> ! [X0,X1] :
( sP18(X0,X1)
| aInteger0(sK37(X0,X1))
| aElementOf0(sK37(X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_151])]) ).
fof(f1511,plain,
( ! [X29] :
( aInteger0(sK37(X29,xB))
| sP18(X29,xB)
| aElementOf0(sK37(X29,xB),cS1395) )
| ~ spl45_47
| ~ spl45_151 ),
inference(resolution,[],[f1418,f721]) ).
fof(f1418,plain,
( ! [X0,X1] :
( aElementOf0(sK37(X0,X1),X1)
| aInteger0(sK37(X0,X1))
| sP18(X0,X1) )
| ~ spl45_151 ),
inference(avatar_component_clause,[],[f1417]) ).
fof(f6452,plain,
( spl45_469
| ~ spl45_46
| ~ spl45_151 ),
inference(avatar_split_clause,[],[f1510,f1417,f716,f6450]) ).
fof(f6450,plain,
( spl45_469
<=> ! [X28] :
( aInteger0(sK37(X28,xA))
| sP18(X28,xA)
| aElementOf0(sK37(X28,xA),cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_469])]) ).
fof(f1510,plain,
( ! [X28] :
( aInteger0(sK37(X28,xA))
| sP18(X28,xA)
| aElementOf0(sK37(X28,xA),cS1395) )
| ~ spl45_46
| ~ spl45_151 ),
inference(resolution,[],[f1418,f717]) ).
fof(f6443,plain,
( ~ spl45_12
| spl45_468
| ~ spl45_47
| ~ spl45_148 ),
inference(avatar_split_clause,[],[f1474,f1405,f720,f6441,f539]) ).
fof(f6441,plain,
( spl45_468
<=> ! [X29] :
( aSubsetOf0(xB,X29)
| aElementOf0(sK33(X29,xB),cS1395)
| ~ aSet0(X29) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_468])]) ).
fof(f1474,plain,
( ! [X29] :
( aSubsetOf0(xB,X29)
| ~ aSet0(xB)
| ~ aSet0(X29)
| aElementOf0(sK33(X29,xB),cS1395) )
| ~ spl45_47
| ~ spl45_148 ),
inference(resolution,[],[f1406,f721]) ).
fof(f6436,plain,
( ~ spl45_10
| spl45_467
| ~ spl45_46
| ~ spl45_148 ),
inference(avatar_split_clause,[],[f1473,f1405,f716,f6434,f529]) ).
fof(f6434,plain,
( spl45_467
<=> ! [X28] :
( aSubsetOf0(xA,X28)
| aElementOf0(sK33(X28,xA),cS1395)
| ~ aSet0(X28) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_467])]) ).
fof(f1473,plain,
( ! [X28] :
( aSubsetOf0(xA,X28)
| ~ aSet0(xA)
| ~ aSet0(X28)
| aElementOf0(sK33(X28,xA),cS1395) )
| ~ spl45_46
| ~ spl45_148 ),
inference(resolution,[],[f1406,f717]) ).
fof(f6131,plain,
( ~ spl45_272
| spl45_466
| ~ spl45_45
| ~ spl45_150 ),
inference(avatar_split_clause,[],[f1486,f1413,f701,f6129,f3197]) ).
fof(f3197,plain,
( spl45_272
<=> sP14(cS1395) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_272])]) ).
fof(f6129,plain,
( spl45_466
<=> ! [X1] :
( ~ aElementOf0(X1,cS1395)
| sP17(szAzrzSzezqlpdtcmdtrp0(X1,sK35(cS1395,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_466])]) ).
fof(f701,plain,
( spl45_45
<=> ! [X0] :
( sP17(X0)
| ~ aSubsetOf0(X0,cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_45])]) ).
fof(f1486,plain,
( ! [X1] :
( ~ aElementOf0(X1,cS1395)
| ~ sP14(cS1395)
| sP17(szAzrzSzezqlpdtcmdtrp0(X1,sK35(cS1395,X1))) )
| ~ spl45_45
| ~ spl45_150 ),
inference(resolution,[],[f1414,f702]) ).
fof(f702,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,cS1395)
| sP17(X0) )
| ~ spl45_45 ),
inference(avatar_component_clause,[],[f701]) ).
fof(f6127,plain,
( spl45_465
| ~ spl45_39
| ~ spl45_106 ),
inference(avatar_split_clause,[],[f1183,f1088,f676,f6125]) ).
fof(f6125,plain,
( spl45_465
<=> ! [X12] :
( smndt0(sK29(X12)) = sdtasdt0(sK29(X12),smndt0(sz10))
| ~ sP7(X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_465])]) ).
fof(f1183,plain,
( ! [X12] :
( smndt0(sK29(X12)) = sdtasdt0(sK29(X12),smndt0(sz10))
| ~ sP7(X12) )
| ~ spl45_39
| ~ spl45_106 ),
inference(resolution,[],[f1089,f677]) ).
fof(f6123,plain,
( spl45_464
| ~ spl45_38
| ~ spl45_106 ),
inference(avatar_split_clause,[],[f1181,f1088,f672,f6121]) ).
fof(f6121,plain,
( spl45_464
<=> ! [X8] :
( smndt0(sK27(X8)) = sdtasdt0(sK27(X8),smndt0(sz10))
| ~ sP11(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_464])]) ).
fof(f1181,plain,
( ! [X8] :
( smndt0(sK27(X8)) = sdtasdt0(sK27(X8),smndt0(sz10))
| ~ sP11(X8) )
| ~ spl45_38
| ~ spl45_106 ),
inference(resolution,[],[f1089,f673]) ).
fof(f6119,plain,
( spl45_463
| ~ spl45_40
| ~ spl45_106 ),
inference(avatar_split_clause,[],[f1176,f1088,f680,f6117]) ).
fof(f1176,plain,
( ! [X0] :
( smndt0(smndt0(X0)) = sdtasdt0(smndt0(X0),smndt0(sz10))
| ~ aInteger0(X0) )
| ~ spl45_40
| ~ spl45_106 ),
inference(resolution,[],[f1089,f681]) ).
fof(f6115,plain,
( spl45_462
| ~ spl45_39
| ~ spl45_105 ),
inference(avatar_split_clause,[],[f1171,f1084,f676,f6113]) ).
fof(f6113,plain,
( spl45_462
<=> ! [X12] :
( smndt0(sK29(X12)) = sdtasdt0(smndt0(sz10),sK29(X12))
| ~ sP7(X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_462])]) ).
fof(f1171,plain,
( ! [X12] :
( smndt0(sK29(X12)) = sdtasdt0(smndt0(sz10),sK29(X12))
| ~ sP7(X12) )
| ~ spl45_39
| ~ spl45_105 ),
inference(resolution,[],[f1085,f677]) ).
fof(f6102,plain,
( spl45_461
| ~ spl45_38
| ~ spl45_105 ),
inference(avatar_split_clause,[],[f1169,f1084,f672,f6100]) ).
fof(f6100,plain,
( spl45_461
<=> ! [X8] :
( smndt0(sK27(X8)) = sdtasdt0(smndt0(sz10),sK27(X8))
| ~ sP11(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_461])]) ).
fof(f1169,plain,
( ! [X8] :
( smndt0(sK27(X8)) = sdtasdt0(smndt0(sz10),sK27(X8))
| ~ sP11(X8) )
| ~ spl45_38
| ~ spl45_105 ),
inference(resolution,[],[f1085,f673]) ).
fof(f6098,plain,
( spl45_460
| ~ spl45_40
| ~ spl45_105 ),
inference(avatar_split_clause,[],[f1164,f1084,f680,f6096]) ).
fof(f1164,plain,
( ! [X0] :
( smndt0(smndt0(X0)) = sdtasdt0(smndt0(sz10),smndt0(X0))
| ~ aInteger0(X0) )
| ~ spl45_40
| ~ spl45_105 ),
inference(resolution,[],[f1085,f681]) ).
fof(f6094,plain,
( spl45_459
| ~ spl45_73
| ~ spl45_95 ),
inference(avatar_split_clause,[],[f1035,f980,f842,f6092]) ).
fof(f1035,plain,
( ! [X4,X5] :
( ~ aInteger0(X4)
| ~ aInteger0(X5)
| sz00 = sdtasdt0(sz00,sdtasdt0(X5,X4)) )
| ~ spl45_73
| ~ spl45_95 ),
inference(resolution,[],[f981,f843]) ).
fof(f6090,plain,
( spl45_458
| ~ spl45_72
| ~ spl45_95 ),
inference(avatar_split_clause,[],[f1034,f980,f838,f6088]) ).
fof(f1034,plain,
( ! [X2,X3] :
( ~ aInteger0(X2)
| ~ aInteger0(X3)
| sz00 = sdtasdt0(sdtasdt0(X3,X2),sz00) )
| ~ spl45_72
| ~ spl45_95 ),
inference(resolution,[],[f981,f839]) ).
fof(f6086,plain,
( spl45_457
| ~ spl45_73
| ~ spl45_94 ),
inference(avatar_split_clause,[],[f1026,f976,f842,f6084]) ).
fof(f1026,plain,
( ! [X4,X5] :
( ~ aInteger0(X4)
| ~ aInteger0(X5)
| sz00 = sdtasdt0(sz00,sdtpldt0(X5,X4)) )
| ~ spl45_73
| ~ spl45_94 ),
inference(resolution,[],[f977,f843]) ).
fof(f6082,plain,
( spl45_456
| ~ spl45_72
| ~ spl45_94 ),
inference(avatar_split_clause,[],[f1025,f976,f838,f6080]) ).
fof(f1025,plain,
( ! [X2,X3] :
( ~ aInteger0(X2)
| ~ aInteger0(X3)
| sz00 = sdtasdt0(sdtpldt0(X3,X2),sz00) )
| ~ spl45_72
| ~ spl45_94 ),
inference(resolution,[],[f977,f839]) ).
fof(f5954,plain,
( spl45_455
| ~ spl45_15
| ~ spl45_398 ),
inference(avatar_split_clause,[],[f4988,f4804,f554,f5951]) ).
fof(f5951,plain,
( spl45_455
<=> smndt0(sK26) = sdtpldt0(sz00,smndt0(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_455])]) ).
fof(f4804,plain,
( spl45_398
<=> ! [X0] :
( smndt0(X0) = sdtpldt0(sz00,smndt0(X0))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_398])]) ).
fof(f4988,plain,
( smndt0(sK26) = sdtpldt0(sz00,smndt0(sK26))
| ~ spl45_15
| ~ spl45_398 ),
inference(resolution,[],[f4805,f556]) ).
fof(f4805,plain,
( ! [X0] :
( ~ aInteger0(X0)
| smndt0(X0) = sdtpldt0(sz00,smndt0(X0)) )
| ~ spl45_398 ),
inference(avatar_component_clause,[],[f4804]) ).
fof(f5918,plain,
( ~ spl45_11
| spl45_454
| ~ spl45_36
| ~ spl45_199 ),
inference(avatar_split_clause,[],[f2162,f2099,f663,f5916,f534]) ).
fof(f5916,plain,
( spl45_454
<=> ! [X0,X1] :
( aInteger0(sK42(X0,X1,cS1395))
| sP20(X0,X1,cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_454])]) ).
fof(f663,plain,
( spl45_36
<=> ! [X5] :
( aInteger0(X5)
| ~ aElementOf0(X5,cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_36])]) ).
fof(f2162,plain,
( ! [X0,X1] :
( aInteger0(sK42(X0,X1,cS1395))
| sP20(X0,X1,cS1395)
| ~ aSet0(cS1395) )
| ~ spl45_36
| ~ spl45_199 ),
inference(duplicate_literal_removal,[],[f2127]) ).
fof(f2127,plain,
( ! [X0,X1] :
( aInteger0(sK42(X0,X1,cS1395))
| sP20(X0,X1,cS1395)
| ~ aSet0(cS1395)
| aInteger0(sK42(X0,X1,cS1395)) )
| ~ spl45_36
| ~ spl45_199 ),
inference(resolution,[],[f2100,f664]) ).
fof(f664,plain,
( ! [X5] :
( ~ aElementOf0(X5,cS1395)
| aInteger0(X5) )
| ~ spl45_36 ),
inference(avatar_component_clause,[],[f663]) ).
fof(f5914,plain,
( spl45_453
| ~ spl45_48
| ~ spl45_191 ),
inference(avatar_split_clause,[],[f1935,f1833,f724,f5912]) ).
fof(f5912,plain,
( spl45_453
<=> ! [X20,X21] :
( aInteger0(sK44(X20,X21,stldt0(xA)))
| sP23(X20,X21,stldt0(xA)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_453])]) ).
fof(f1935,plain,
( ! [X21,X20] :
( aInteger0(sK44(X20,X21,stldt0(xA)))
| sP23(X20,X21,stldt0(xA)) )
| ~ spl45_48
| ~ spl45_191 ),
inference(duplicate_literal_removal,[],[f1913]) ).
fof(f1913,plain,
( ! [X21,X20] :
( aInteger0(sK44(X20,X21,stldt0(xA)))
| sP23(X20,X21,stldt0(xA))
| aInteger0(sK44(X20,X21,stldt0(xA))) )
| ~ spl45_48
| ~ spl45_191 ),
inference(resolution,[],[f1834,f725]) ).
fof(f5910,plain,
( spl45_452
| ~ spl45_50
| ~ spl45_191 ),
inference(avatar_split_clause,[],[f1934,f1833,f732,f5908]) ).
fof(f5908,plain,
( spl45_452
<=> ! [X29,X28] :
( aInteger0(sK44(X28,X29,stldt0(xB)))
| sP23(X28,X29,stldt0(xB)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_452])]) ).
fof(f1934,plain,
( ! [X28,X29] :
( aInteger0(sK44(X28,X29,stldt0(xB)))
| sP23(X28,X29,stldt0(xB)) )
| ~ spl45_50
| ~ spl45_191 ),
inference(duplicate_literal_removal,[],[f1917]) ).
fof(f1917,plain,
( ! [X28,X29] :
( aInteger0(sK44(X28,X29,stldt0(xB)))
| sP23(X28,X29,stldt0(xB))
| aInteger0(sK44(X28,X29,stldt0(xB))) )
| ~ spl45_50
| ~ spl45_191 ),
inference(resolution,[],[f1834,f733]) ).
fof(f5906,plain,
( spl45_451
| ~ spl45_48
| ~ spl45_189 ),
inference(avatar_split_clause,[],[f1897,f1825,f724,f5904]) ).
fof(f5904,plain,
( spl45_451
<=> ! [X20,X21] :
( aInteger0(sK43(X20,X21,stldt0(xA)))
| sP22(X20,X21,stldt0(xA)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_451])]) ).
fof(f1897,plain,
( ! [X21,X20] :
( aInteger0(sK43(X20,X21,stldt0(xA)))
| sP22(X20,X21,stldt0(xA)) )
| ~ spl45_48
| ~ spl45_189 ),
inference(duplicate_literal_removal,[],[f1875]) ).
fof(f1875,plain,
( ! [X21,X20] :
( aInteger0(sK43(X20,X21,stldt0(xA)))
| sP22(X20,X21,stldt0(xA))
| aInteger0(sK43(X20,X21,stldt0(xA))) )
| ~ spl45_48
| ~ spl45_189 ),
inference(resolution,[],[f1826,f725]) ).
fof(f5902,plain,
( spl45_450
| ~ spl45_50
| ~ spl45_189 ),
inference(avatar_split_clause,[],[f1896,f1825,f732,f5900]) ).
fof(f5900,plain,
( spl45_450
<=> ! [X29,X28] :
( aInteger0(sK43(X28,X29,stldt0(xB)))
| sP22(X28,X29,stldt0(xB)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_450])]) ).
fof(f1896,plain,
( ! [X28,X29] :
( aInteger0(sK43(X28,X29,stldt0(xB)))
| sP22(X28,X29,stldt0(xB)) )
| ~ spl45_50
| ~ spl45_189 ),
inference(duplicate_literal_removal,[],[f1879]) ).
fof(f1879,plain,
( ! [X28,X29] :
( aInteger0(sK43(X28,X29,stldt0(xB)))
| sP22(X28,X29,stldt0(xB))
| aInteger0(sK43(X28,X29,stldt0(xB))) )
| ~ spl45_50
| ~ spl45_189 ),
inference(resolution,[],[f1826,f733]) ).
fof(f5892,plain,
( ~ spl45_11
| spl45_449
| ~ spl45_37
| ~ spl45_149 ),
inference(avatar_split_clause,[],[f1481,f1409,f667,f5890,f534]) ).
fof(f5890,plain,
( spl45_449
<=> ! [X6] :
( aSubsetOf0(X6,cS1395)
| ~ aInteger0(sK33(cS1395,X6))
| ~ aSet0(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_449])]) ).
fof(f1409,plain,
( spl45_149
<=> ! [X0,X1] :
( aSubsetOf0(X1,X0)
| ~ aElementOf0(sK33(X0,X1),X0)
| ~ aSet0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_149])]) ).
fof(f1481,plain,
( ! [X6] :
( aSubsetOf0(X6,cS1395)
| ~ aSet0(X6)
| ~ aSet0(cS1395)
| ~ aInteger0(sK33(cS1395,X6)) )
| ~ spl45_37
| ~ spl45_149 ),
inference(resolution,[],[f1410,f668]) ).
fof(f1410,plain,
( ! [X0,X1] :
( ~ aElementOf0(sK33(X0,X1),X0)
| aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ~ aSet0(X0) )
| ~ spl45_149 ),
inference(avatar_component_clause,[],[f1409]) ).
fof(f5857,plain,
( ~ spl45_11
| spl45_448
| ~ spl45_36
| ~ spl45_148 ),
inference(avatar_split_clause,[],[f1453,f1405,f663,f5855,f534]) ).
fof(f5855,plain,
( spl45_448
<=> ! [X0] :
( aSubsetOf0(cS1395,X0)
| aInteger0(sK33(X0,cS1395))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_448])]) ).
fof(f1453,plain,
( ! [X0] :
( aSubsetOf0(cS1395,X0)
| ~ aSet0(cS1395)
| ~ aSet0(X0)
| aInteger0(sK33(X0,cS1395)) )
| ~ spl45_36
| ~ spl45_148 ),
inference(resolution,[],[f1406,f664]) ).
fof(f5853,plain,
( spl45_447
| ~ spl45_15
| ~ spl45_395 ),
inference(avatar_split_clause,[],[f4950,f4792,f554,f5850]) ).
fof(f5850,plain,
( spl45_447
<=> smndt0(sK26) = sdtpldt0(smndt0(sK26),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_447])]) ).
fof(f4792,plain,
( spl45_395
<=> ! [X0] :
( smndt0(X0) = sdtpldt0(smndt0(X0),sz00)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_395])]) ).
fof(f4950,plain,
( smndt0(sK26) = sdtpldt0(smndt0(sK26),sz00)
| ~ spl45_15
| ~ spl45_395 ),
inference(resolution,[],[f4793,f556]) ).
fof(f4793,plain,
( ! [X0] :
( ~ aInteger0(X0)
| smndt0(X0) = sdtpldt0(smndt0(X0),sz00) )
| ~ spl45_395 ),
inference(avatar_component_clause,[],[f4792]) ).
fof(f5848,plain,
( spl45_446
| ~ spl45_28
| spl45_445
| ~ spl45_50
| ~ spl45_113 ),
inference(avatar_split_clause,[],[f1216,f1117,f732,f5832,f619,f5845]) ).
fof(f5845,plain,
( spl45_446
<=> aInteger0(sK41(stldt0(xB))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_446])]) ).
fof(f5832,plain,
( spl45_445
<=> isOpen0(sbsmnsldt0(stldt0(xB))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_445])]) ).
fof(f1117,plain,
( spl45_113
<=> ! [X0] :
( isOpen0(sbsmnsldt0(X0))
| aElementOf0(sK41(X0),X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_113])]) ).
fof(f1216,plain,
( isOpen0(sbsmnsldt0(stldt0(xB)))
| ~ aSet0(stldt0(xB))
| aInteger0(sK41(stldt0(xB)))
| ~ spl45_50
| ~ spl45_113 ),
inference(resolution,[],[f1118,f733]) ).
fof(f1118,plain,
( ! [X0] :
( aElementOf0(sK41(X0),X0)
| isOpen0(sbsmnsldt0(X0))
| ~ aSet0(X0) )
| ~ spl45_113 ),
inference(avatar_component_clause,[],[f1117]) ).
fof(f5835,plain,
( spl45_444
| ~ spl45_28
| spl45_445
| ~ spl45_51
| ~ spl45_113 ),
inference(avatar_split_clause,[],[f1215,f1117,f736,f5832,f619,f5828]) ).
fof(f5828,plain,
( spl45_444
<=> sP11(sK41(stldt0(xB))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_444])]) ).
fof(f1215,plain,
( isOpen0(sbsmnsldt0(stldt0(xB)))
| ~ aSet0(stldt0(xB))
| sP11(sK41(stldt0(xB)))
| ~ spl45_51
| ~ spl45_113 ),
inference(resolution,[],[f1118,f737]) ).
fof(f5826,plain,
( spl45_443
| ~ spl45_26
| spl45_441
| ~ spl45_48
| ~ spl45_113 ),
inference(avatar_split_clause,[],[f1212,f1117,f724,f5805,f609,f5823]) ).
fof(f5823,plain,
( spl45_443
<=> aInteger0(sK41(stldt0(xA))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_443])]) ).
fof(f5805,plain,
( spl45_441
<=> isOpen0(sbsmnsldt0(stldt0(xA))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_441])]) ).
fof(f1212,plain,
( isOpen0(sbsmnsldt0(stldt0(xA)))
| ~ aSet0(stldt0(xA))
| aInteger0(sK41(stldt0(xA)))
| ~ spl45_48
| ~ spl45_113 ),
inference(resolution,[],[f1118,f725]) ).
fof(f5821,plain,
( spl45_442
| ~ spl45_15
| ~ spl45_391 ),
inference(avatar_split_clause,[],[f4913,f4775,f554,f5818]) ).
fof(f5818,plain,
( spl45_442
<=> smndt0(sK26) = sdtasdt0(sz10,smndt0(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_442])]) ).
fof(f4775,plain,
( spl45_391
<=> ! [X0] :
( smndt0(X0) = sdtasdt0(sz10,smndt0(X0))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_391])]) ).
fof(f4913,plain,
( smndt0(sK26) = sdtasdt0(sz10,smndt0(sK26))
| ~ spl45_15
| ~ spl45_391 ),
inference(resolution,[],[f4776,f556]) ).
fof(f4776,plain,
( ! [X0] :
( ~ aInteger0(X0)
| smndt0(X0) = sdtasdt0(sz10,smndt0(X0)) )
| ~ spl45_391 ),
inference(avatar_component_clause,[],[f4775]) ).
fof(f5808,plain,
( spl45_440
| ~ spl45_26
| spl45_441
| ~ spl45_49
| ~ spl45_113 ),
inference(avatar_split_clause,[],[f1211,f1117,f728,f5805,f609,f5801]) ).
fof(f5801,plain,
( spl45_440
<=> sP7(sK41(stldt0(xA))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_440])]) ).
fof(f1211,plain,
( isOpen0(sbsmnsldt0(stldt0(xA)))
| ~ aSet0(stldt0(xA))
| sP7(sK41(stldt0(xA)))
| ~ spl45_49
| ~ spl45_113 ),
inference(resolution,[],[f1118,f729]) ).
fof(f5755,plain,
( spl45_439
| ~ spl45_30
| ~ spl45_225 ),
inference(avatar_split_clause,[],[f2582,f2559,f631,f5753]) ).
fof(f5753,plain,
( spl45_439
<=> ! [X22,X21] :
( ~ aElementOf0(sK43(X21,X22,stldt0(sdtbsmnsldt0(xA,xB))),X21)
| ~ aElementOf0(sK43(X21,X22,stldt0(sdtbsmnsldt0(xA,xB))),X22)
| ~ aInteger0(sK43(X21,X22,stldt0(sdtbsmnsldt0(xA,xB))))
| sP22(X21,X22,stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0(sK43(X21,X22,stldt0(sdtbsmnsldt0(xA,xB))),sdtbsmnsldt0(xA,xB)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_439])]) ).
fof(f631,plain,
( spl45_30
<=> ! [X2] :
( aElementOf0(X2,stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0(X2,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_30])]) ).
fof(f2559,plain,
( spl45_225
<=> ! [X2,X0,X1] :
( sP22(X0,X1,X2)
| ~ aElementOf0(sK43(X0,X1,X2),X0)
| ~ aElementOf0(sK43(X0,X1,X2),X1)
| ~ aInteger0(sK43(X0,X1,X2))
| ~ aElementOf0(sK43(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_225])]) ).
fof(f2582,plain,
( ! [X21,X22] :
( ~ aElementOf0(sK43(X21,X22,stldt0(sdtbsmnsldt0(xA,xB))),X21)
| ~ aElementOf0(sK43(X21,X22,stldt0(sdtbsmnsldt0(xA,xB))),X22)
| ~ aInteger0(sK43(X21,X22,stldt0(sdtbsmnsldt0(xA,xB))))
| sP22(X21,X22,stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0(sK43(X21,X22,stldt0(sdtbsmnsldt0(xA,xB))),sdtbsmnsldt0(xA,xB)) )
| ~ spl45_30
| ~ spl45_225 ),
inference(duplicate_literal_removal,[],[f2571]) ).
fof(f2571,plain,
( ! [X21,X22] :
( ~ aElementOf0(sK43(X21,X22,stldt0(sdtbsmnsldt0(xA,xB))),X21)
| ~ aElementOf0(sK43(X21,X22,stldt0(sdtbsmnsldt0(xA,xB))),X22)
| ~ aInteger0(sK43(X21,X22,stldt0(sdtbsmnsldt0(xA,xB))))
| sP22(X21,X22,stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0(sK43(X21,X22,stldt0(sdtbsmnsldt0(xA,xB))),sdtbsmnsldt0(xA,xB))
| ~ aInteger0(sK43(X21,X22,stldt0(sdtbsmnsldt0(xA,xB)))) )
| ~ spl45_30
| ~ spl45_225 ),
inference(resolution,[],[f2560,f632]) ).
fof(f632,plain,
( ! [X2] :
( aElementOf0(X2,stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0(X2,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(X2) )
| ~ spl45_30 ),
inference(avatar_component_clause,[],[f631]) ).
fof(f2560,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(sK43(X0,X1,X2),X2)
| ~ aElementOf0(sK43(X0,X1,X2),X0)
| ~ aElementOf0(sK43(X0,X1,X2),X1)
| ~ aInteger0(sK43(X0,X1,X2))
| sP22(X0,X1,X2) )
| ~ spl45_225 ),
inference(avatar_component_clause,[],[f2559]) ).
fof(f5678,plain,
( spl45_438
| ~ spl45_15
| ~ spl45_388 ),
inference(avatar_split_clause,[],[f4871,f4763,f554,f5675]) ).
fof(f5675,plain,
( spl45_438
<=> smndt0(sK26) = sdtasdt0(smndt0(sK26),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_438])]) ).
fof(f4763,plain,
( spl45_388
<=> ! [X0] :
( smndt0(X0) = sdtasdt0(smndt0(X0),sz10)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_388])]) ).
fof(f4871,plain,
( smndt0(sK26) = sdtasdt0(smndt0(sK26),sz10)
| ~ spl45_15
| ~ spl45_388 ),
inference(resolution,[],[f4764,f556]) ).
fof(f4764,plain,
( ! [X0] :
( ~ aInteger0(X0)
| smndt0(X0) = sdtasdt0(smndt0(X0),sz10) )
| ~ spl45_388 ),
inference(avatar_component_clause,[],[f4763]) ).
fof(f5599,plain,
( spl45_437
| ~ spl45_198 ),
inference(avatar_split_clause,[],[f2097,f1969,f5597]) ).
fof(f5597,plain,
( spl45_437
<=> ! [X0,X1] :
( aElementOf0(sK43(X0,X1,X0),X0)
| sP22(X0,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_437])]) ).
fof(f2097,plain,
( ! [X0,X1] :
( aElementOf0(sK43(X0,X1,X0),X0)
| sP22(X0,X1,X0) )
| ~ spl45_198 ),
inference(factoring,[],[f1970]) ).
fof(f5595,plain,
( spl45_436
| ~ spl45_197 ),
inference(avatar_split_clause,[],[f2040,f1965,f5593]) ).
fof(f5593,plain,
( spl45_436
<=> ! [X0,X1] :
( aElementOf0(sK43(X0,X1,X1),X1)
| sP22(X0,X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_436])]) ).
fof(f2040,plain,
( ! [X0,X1] :
( aElementOf0(sK43(X0,X1,X1),X1)
| sP22(X0,X1,X1) )
| ~ spl45_197 ),
inference(factoring,[],[f1966]) ).
fof(f5591,plain,
( spl45_435
| ~ spl45_170 ),
inference(avatar_split_clause,[],[f1680,f1574,f5589]) ).
fof(f5589,plain,
( spl45_435
<=> ! [X0,X1] :
( aSet0(sdtbsmnsldt0(X0,X1))
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_435])]) ).
fof(f1574,plain,
( spl45_170
<=> ! [X2,X0,X1] :
( aSet0(X2)
| sdtbsmnsldt0(X0,X1) != X2
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_170])]) ).
fof(f1680,plain,
( ! [X0,X1] :
( aSet0(sdtbsmnsldt0(X0,X1))
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) )
| ~ spl45_170 ),
inference(equality_resolution,[],[f1575]) ).
fof(f1575,plain,
( ! [X2,X0,X1] :
( sdtbsmnsldt0(X0,X1) != X2
| aSet0(X2)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) )
| ~ spl45_170 ),
inference(avatar_component_clause,[],[f1574]) ).
fof(f5587,plain,
( spl45_434
| ~ spl45_168 ),
inference(avatar_split_clause,[],[f1679,f1566,f5585]) ).
fof(f5585,plain,
( spl45_434
<=> ! [X0,X1] :
( aSet0(sdtslmnbsdt0(X0,X1))
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_434])]) ).
fof(f1679,plain,
( ! [X0,X1] :
( aSet0(sdtslmnbsdt0(X0,X1))
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) )
| ~ spl45_168 ),
inference(equality_resolution,[],[f1567]) ).
fof(f5574,plain,
( spl45_433
| ~ spl45_39
| ~ spl45_83 ),
inference(avatar_split_clause,[],[f995,f931,f676,f5572]) ).
fof(f995,plain,
( ! [X2] :
( sz00 = sdtpldt0(smndt0(sK29(X2)),sK29(X2))
| ~ sP7(X2) )
| ~ spl45_39
| ~ spl45_83 ),
inference(resolution,[],[f932,f677]) ).
fof(f5570,plain,
( spl45_432
| ~ spl45_38
| ~ spl45_83 ),
inference(avatar_split_clause,[],[f994,f931,f672,f5568]) ).
fof(f994,plain,
( ! [X1] :
( sz00 = sdtpldt0(smndt0(sK27(X1)),sK27(X1))
| ~ sP11(X1) )
| ~ spl45_38
| ~ spl45_83 ),
inference(resolution,[],[f932,f673]) ).
fof(f5566,plain,
( spl45_431
| ~ spl45_40
| ~ spl45_83 ),
inference(avatar_split_clause,[],[f992,f931,f680,f5564]) ).
fof(f992,plain,
( ! [X0] :
( sz00 = sdtpldt0(smndt0(smndt0(X0)),smndt0(X0))
| ~ aInteger0(X0) )
| ~ spl45_40
| ~ spl45_83 ),
inference(resolution,[],[f932,f681]) ).
fof(f5562,plain,
( spl45_430
| ~ spl45_39
| ~ spl45_82 ),
inference(avatar_split_clause,[],[f988,f927,f676,f5560]) ).
fof(f988,plain,
( ! [X2] :
( sz00 = sdtpldt0(sK29(X2),smndt0(sK29(X2)))
| ~ sP7(X2) )
| ~ spl45_39
| ~ spl45_82 ),
inference(resolution,[],[f928,f677]) ).
fof(f5558,plain,
( spl45_429
| ~ spl45_38
| ~ spl45_82 ),
inference(avatar_split_clause,[],[f987,f927,f672,f5556]) ).
fof(f987,plain,
( ! [X1] :
( sz00 = sdtpldt0(sK27(X1),smndt0(sK27(X1)))
| ~ sP11(X1) )
| ~ spl45_38
| ~ spl45_82 ),
inference(resolution,[],[f928,f673]) ).
fof(f5554,plain,
( spl45_428
| ~ spl45_40
| ~ spl45_82 ),
inference(avatar_split_clause,[],[f985,f927,f680,f5552]) ).
fof(f985,plain,
( ! [X0] :
( sz00 = sdtpldt0(smndt0(X0),smndt0(smndt0(X0)))
| ~ aInteger0(X0) )
| ~ spl45_40
| ~ spl45_82 ),
inference(resolution,[],[f928,f681]) ).
fof(f5550,plain,
( spl45_427
| ~ spl45_73
| ~ spl45_78 ),
inference(avatar_split_clause,[],[f917,f862,f842,f5548]) ).
fof(f5548,plain,
( spl45_427
<=> ! [X4,X5] :
( ~ sP12(X4,X5)
| sz00 = sdtasdt0(sz00,sK32(X4,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_427])]) ).
fof(f917,plain,
( ! [X4,X5] :
( ~ sP12(X4,X5)
| sz00 = sdtasdt0(sz00,sK32(X4,X5)) )
| ~ spl45_73
| ~ spl45_78 ),
inference(resolution,[],[f863,f843]) ).
fof(f5546,plain,
( spl45_426
| ~ spl45_72
| ~ spl45_78 ),
inference(avatar_split_clause,[],[f916,f862,f838,f5544]) ).
fof(f5544,plain,
( spl45_426
<=> ! [X2,X3] :
( ~ sP12(X2,X3)
| sz00 = sdtasdt0(sK32(X2,X3),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_426])]) ).
fof(f916,plain,
( ! [X2,X3] :
( ~ sP12(X2,X3)
| sz00 = sdtasdt0(sK32(X2,X3),sz00) )
| ~ spl45_72
| ~ spl45_78 ),
inference(resolution,[],[f863,f839]) ).
fof(f5533,plain,
( spl45_425
| ~ spl45_28
| spl45_424
| ~ spl45_50
| ~ spl45_92 ),
inference(avatar_split_clause,[],[f1021,f968,f732,f5519,f619,f5530]) ).
fof(f5530,plain,
( spl45_425
<=> aInteger0(sK40(stldt0(xB))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_425])]) ).
fof(f5519,plain,
( spl45_424
<=> sP19(stldt0(xB)) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_424])]) ).
fof(f968,plain,
( spl45_92
<=> ! [X0] :
( sP19(X0)
| aElementOf0(sK40(X0),X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_92])]) ).
fof(f1021,plain,
( sP19(stldt0(xB))
| ~ aSet0(stldt0(xB))
| aInteger0(sK40(stldt0(xB)))
| ~ spl45_50
| ~ spl45_92 ),
inference(resolution,[],[f969,f733]) ).
fof(f969,plain,
( ! [X0] :
( aElementOf0(sK40(X0),X0)
| sP19(X0)
| ~ aSet0(X0) )
| ~ spl45_92 ),
inference(avatar_component_clause,[],[f968]) ).
fof(f5522,plain,
( spl45_423
| ~ spl45_28
| spl45_424
| ~ spl45_51
| ~ spl45_92 ),
inference(avatar_split_clause,[],[f1020,f968,f736,f5519,f619,f5515]) ).
fof(f5515,plain,
( spl45_423
<=> sP11(sK40(stldt0(xB))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_423])]) ).
fof(f1020,plain,
( sP19(stldt0(xB))
| ~ aSet0(stldt0(xB))
| sP11(sK40(stldt0(xB)))
| ~ spl45_51
| ~ spl45_92 ),
inference(resolution,[],[f969,f737]) ).
fof(f5513,plain,
( spl45_422
| ~ spl45_26
| spl45_421
| ~ spl45_48
| ~ spl45_92 ),
inference(avatar_split_clause,[],[f1017,f968,f724,f5499,f609,f5510]) ).
fof(f5510,plain,
( spl45_422
<=> aInteger0(sK40(stldt0(xA))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_422])]) ).
fof(f5499,plain,
( spl45_421
<=> sP19(stldt0(xA)) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_421])]) ).
fof(f1017,plain,
( sP19(stldt0(xA))
| ~ aSet0(stldt0(xA))
| aInteger0(sK40(stldt0(xA)))
| ~ spl45_48
| ~ spl45_92 ),
inference(resolution,[],[f969,f725]) ).
fof(f5502,plain,
( spl45_420
| ~ spl45_26
| spl45_421
| ~ spl45_49
| ~ spl45_92 ),
inference(avatar_split_clause,[],[f1016,f968,f728,f5499,f609,f5495]) ).
fof(f5495,plain,
( spl45_420
<=> sP7(sK40(stldt0(xA))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_420])]) ).
fof(f1016,plain,
( sP19(stldt0(xA))
| ~ aSet0(stldt0(xA))
| sP7(sK40(stldt0(xA)))
| ~ spl45_49
| ~ spl45_92 ),
inference(resolution,[],[f969,f729]) ).
fof(f5222,plain,
( spl45_419
| ~ spl45_21
| ~ spl45_219 ),
inference(avatar_split_clause,[],[f2486,f2420,f583,f5220]) ).
fof(f5220,plain,
( spl45_419
<=> ! [X6,X7] :
( aElementOf0(sK44(sdtbsmnsldt0(xA,xB),X6,X7),X7)
| aElementOf0(sK44(sdtbsmnsldt0(xA,xB),X6,X7),X6)
| sP23(sdtbsmnsldt0(xA,xB),X6,X7)
| aElementOf0(sK44(sdtbsmnsldt0(xA,xB),X6,X7),xA)
| aElementOf0(sK44(sdtbsmnsldt0(xA,xB),X6,X7),xB) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_419])]) ).
fof(f583,plain,
( spl45_21
<=> ! [X3] :
( aElementOf0(X3,xB)
| aElementOf0(X3,xA)
| ~ aElementOf0(X3,sdtbsmnsldt0(xA,xB)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_21])]) ).
fof(f2486,plain,
( ! [X6,X7] :
( aElementOf0(sK44(sdtbsmnsldt0(xA,xB),X6,X7),X7)
| aElementOf0(sK44(sdtbsmnsldt0(xA,xB),X6,X7),X6)
| sP23(sdtbsmnsldt0(xA,xB),X6,X7)
| aElementOf0(sK44(sdtbsmnsldt0(xA,xB),X6,X7),xA)
| aElementOf0(sK44(sdtbsmnsldt0(xA,xB),X6,X7),xB) )
| ~ spl45_21
| ~ spl45_219 ),
inference(resolution,[],[f2421,f584]) ).
fof(f584,plain,
( ! [X3] :
( ~ aElementOf0(X3,sdtbsmnsldt0(xA,xB))
| aElementOf0(X3,xA)
| aElementOf0(X3,xB) )
| ~ spl45_21 ),
inference(avatar_component_clause,[],[f583]) ).
fof(f5218,plain,
( spl45_418
| ~ spl45_21
| ~ spl45_219 ),
inference(avatar_split_clause,[],[f2456,f2420,f583,f5216]) ).
fof(f5216,plain,
( spl45_418
<=> ! [X6,X7] :
( aElementOf0(sK44(X6,sdtbsmnsldt0(xA,xB),X7),X7)
| aElementOf0(sK44(X6,sdtbsmnsldt0(xA,xB),X7),X6)
| sP23(X6,sdtbsmnsldt0(xA,xB),X7)
| aElementOf0(sK44(X6,sdtbsmnsldt0(xA,xB),X7),xA)
| aElementOf0(sK44(X6,sdtbsmnsldt0(xA,xB),X7),xB) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_418])]) ).
fof(f2456,plain,
( ! [X6,X7] :
( aElementOf0(sK44(X6,sdtbsmnsldt0(xA,xB),X7),X7)
| aElementOf0(sK44(X6,sdtbsmnsldt0(xA,xB),X7),X6)
| sP23(X6,sdtbsmnsldt0(xA,xB),X7)
| aElementOf0(sK44(X6,sdtbsmnsldt0(xA,xB),X7),xA)
| aElementOf0(sK44(X6,sdtbsmnsldt0(xA,xB),X7),xB) )
| ~ spl45_21
| ~ spl45_219 ),
inference(resolution,[],[f2421,f584]) ).
fof(f5214,plain,
( spl45_417
| ~ spl45_21
| ~ spl45_219 ),
inference(avatar_split_clause,[],[f2426,f2420,f583,f5212]) ).
fof(f5212,plain,
( spl45_417
<=> ! [X9,X8] :
( aElementOf0(sK44(X8,X9,sdtbsmnsldt0(xA,xB)),X9)
| aElementOf0(sK44(X8,X9,sdtbsmnsldt0(xA,xB)),X8)
| sP23(X8,X9,sdtbsmnsldt0(xA,xB))
| aElementOf0(sK44(X8,X9,sdtbsmnsldt0(xA,xB)),xA)
| aElementOf0(sK44(X8,X9,sdtbsmnsldt0(xA,xB)),xB) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_417])]) ).
fof(f2426,plain,
( ! [X8,X9] :
( aElementOf0(sK44(X8,X9,sdtbsmnsldt0(xA,xB)),X9)
| aElementOf0(sK44(X8,X9,sdtbsmnsldt0(xA,xB)),X8)
| sP23(X8,X9,sdtbsmnsldt0(xA,xB))
| aElementOf0(sK44(X8,X9,sdtbsmnsldt0(xA,xB)),xA)
| aElementOf0(sK44(X8,X9,sdtbsmnsldt0(xA,xB)),xB) )
| ~ spl45_21
| ~ spl45_219 ),
inference(resolution,[],[f2421,f584]) ).
fof(f5192,plain,
( spl45_416
| ~ spl45_20
| ~ spl45_225 ),
inference(avatar_split_clause,[],[f2585,f2559,f577,f5190]) ).
fof(f5190,plain,
( spl45_416
<=> ! [X16,X15] :
( ~ aElementOf0(sK43(X15,X16,sdtbsmnsldt0(xA,xB)),X15)
| ~ aElementOf0(sK43(X15,X16,sdtbsmnsldt0(xA,xB)),X16)
| ~ aInteger0(sK43(X15,X16,sdtbsmnsldt0(xA,xB)))
| sP22(X15,X16,sdtbsmnsldt0(xA,xB))
| ~ aElementOf0(sK43(X15,X16,sdtbsmnsldt0(xA,xB)),xB) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_416])]) ).
fof(f577,plain,
( spl45_20
<=> ! [X3] :
( aElementOf0(X3,sdtbsmnsldt0(xA,xB))
| ~ aElementOf0(X3,xB)
| ~ aInteger0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_20])]) ).
fof(f2585,plain,
( ! [X16,X15] :
( ~ aElementOf0(sK43(X15,X16,sdtbsmnsldt0(xA,xB)),X15)
| ~ aElementOf0(sK43(X15,X16,sdtbsmnsldt0(xA,xB)),X16)
| ~ aInteger0(sK43(X15,X16,sdtbsmnsldt0(xA,xB)))
| sP22(X15,X16,sdtbsmnsldt0(xA,xB))
| ~ aElementOf0(sK43(X15,X16,sdtbsmnsldt0(xA,xB)),xB) )
| ~ spl45_20
| ~ spl45_225 ),
inference(duplicate_literal_removal,[],[f2568]) ).
fof(f2568,plain,
( ! [X16,X15] :
( ~ aElementOf0(sK43(X15,X16,sdtbsmnsldt0(xA,xB)),X15)
| ~ aElementOf0(sK43(X15,X16,sdtbsmnsldt0(xA,xB)),X16)
| ~ aInteger0(sK43(X15,X16,sdtbsmnsldt0(xA,xB)))
| sP22(X15,X16,sdtbsmnsldt0(xA,xB))
| ~ aElementOf0(sK43(X15,X16,sdtbsmnsldt0(xA,xB)),xB)
| ~ aInteger0(sK43(X15,X16,sdtbsmnsldt0(xA,xB))) )
| ~ spl45_20
| ~ spl45_225 ),
inference(resolution,[],[f2560,f578]) ).
fof(f578,plain,
( ! [X3] :
( aElementOf0(X3,sdtbsmnsldt0(xA,xB))
| ~ aElementOf0(X3,xB)
| ~ aInteger0(X3) )
| ~ spl45_20 ),
inference(avatar_component_clause,[],[f577]) ).
fof(f5188,plain,
( spl45_415
| ~ spl45_19
| ~ spl45_225 ),
inference(avatar_split_clause,[],[f2584,f2559,f573,f5186]) ).
fof(f5186,plain,
( spl45_415
<=> ! [X18,X17] :
( ~ aElementOf0(sK43(X17,X18,sdtbsmnsldt0(xA,xB)),X17)
| ~ aElementOf0(sK43(X17,X18,sdtbsmnsldt0(xA,xB)),X18)
| ~ aInteger0(sK43(X17,X18,sdtbsmnsldt0(xA,xB)))
| sP22(X17,X18,sdtbsmnsldt0(xA,xB))
| ~ aElementOf0(sK43(X17,X18,sdtbsmnsldt0(xA,xB)),xA) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_415])]) ).
fof(f573,plain,
( spl45_19
<=> ! [X3] :
( aElementOf0(X3,sdtbsmnsldt0(xA,xB))
| ~ aElementOf0(X3,xA)
| ~ aInteger0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_19])]) ).
fof(f2584,plain,
( ! [X18,X17] :
( ~ aElementOf0(sK43(X17,X18,sdtbsmnsldt0(xA,xB)),X17)
| ~ aElementOf0(sK43(X17,X18,sdtbsmnsldt0(xA,xB)),X18)
| ~ aInteger0(sK43(X17,X18,sdtbsmnsldt0(xA,xB)))
| sP22(X17,X18,sdtbsmnsldt0(xA,xB))
| ~ aElementOf0(sK43(X17,X18,sdtbsmnsldt0(xA,xB)),xA) )
| ~ spl45_19
| ~ spl45_225 ),
inference(duplicate_literal_removal,[],[f2569]) ).
fof(f2569,plain,
( ! [X18,X17] :
( ~ aElementOf0(sK43(X17,X18,sdtbsmnsldt0(xA,xB)),X17)
| ~ aElementOf0(sK43(X17,X18,sdtbsmnsldt0(xA,xB)),X18)
| ~ aInteger0(sK43(X17,X18,sdtbsmnsldt0(xA,xB)))
| sP22(X17,X18,sdtbsmnsldt0(xA,xB))
| ~ aElementOf0(sK43(X17,X18,sdtbsmnsldt0(xA,xB)),xA)
| ~ aInteger0(sK43(X17,X18,sdtbsmnsldt0(xA,xB))) )
| ~ spl45_19
| ~ spl45_225 ),
inference(resolution,[],[f2560,f574]) ).
fof(f574,plain,
( ! [X3] :
( aElementOf0(X3,sdtbsmnsldt0(xA,xB))
| ~ aElementOf0(X3,xA)
| ~ aInteger0(X3) )
| ~ spl45_19 ),
inference(avatar_component_clause,[],[f573]) ).
fof(f5022,plain,
( spl45_414
| ~ spl45_144
| ~ spl45_364 ),
inference(avatar_split_clause,[],[f4344,f4266,f1343,f5019]) ).
fof(f5019,plain,
( spl45_414
<=> sz00 = sdtasdt0(sz00,sK29(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_414])]) ).
fof(f4266,plain,
( spl45_364
<=> ! [X2] :
( sz00 = sdtasdt0(sz00,sK29(X2))
| ~ sP7(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_364])]) ).
fof(f4344,plain,
( sz00 = sdtasdt0(sz00,sK29(sK26))
| ~ spl45_144
| ~ spl45_364 ),
inference(resolution,[],[f4267,f1345]) ).
fof(f4267,plain,
( ! [X2] :
( ~ sP7(X2)
| sz00 = sdtasdt0(sz00,sK29(X2)) )
| ~ spl45_364 ),
inference(avatar_component_clause,[],[f4266]) ).
fof(f4902,plain,
( spl45_413
| ~ spl45_171
| ~ spl45_363 ),
inference(avatar_split_clause,[],[f4342,f4262,f1578,f4899]) ).
fof(f4899,plain,
( spl45_413
<=> sz00 = sdtasdt0(sz00,sK27(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_413])]) ).
fof(f4262,plain,
( spl45_363
<=> ! [X1] :
( sz00 = sdtasdt0(sz00,sK27(X1))
| ~ sP11(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_363])]) ).
fof(f4342,plain,
( sz00 = sdtasdt0(sz00,sK27(sK26))
| ~ spl45_171
| ~ spl45_363 ),
inference(resolution,[],[f4263,f1580]) ).
fof(f4263,plain,
( ! [X1] :
( ~ sP11(X1)
| sz00 = sdtasdt0(sz00,sK27(X1)) )
| ~ spl45_363 ),
inference(avatar_component_clause,[],[f4262]) ).
fof(f4864,plain,
( spl45_412
| ~ spl45_154 ),
inference(avatar_split_clause,[],[f1520,f1430,f4862]) ).
fof(f4862,plain,
( spl45_412
<=> ! [X0,X1] :
( sP20(X0,X1,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ~ sP21(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_412])]) ).
fof(f1430,plain,
( spl45_154
<=> ! [X2,X0,X1] :
( sP20(X1,X0,X2)
| szAzrzSzezqlpdtcmdtrp0(X0,X1) != X2
| ~ sP21(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_154])]) ).
fof(f1520,plain,
( ! [X0,X1] :
( sP20(X0,X1,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ~ sP21(X1,X0) )
| ~ spl45_154 ),
inference(equality_resolution,[],[f1431]) ).
fof(f1431,plain,
( ! [X2,X0,X1] :
( szAzrzSzezqlpdtcmdtrp0(X0,X1) != X2
| sP20(X1,X0,X2)
| ~ sP21(X0,X1) )
| ~ spl45_154 ),
inference(avatar_component_clause,[],[f1430]) ).
fof(f4860,plain,
( spl45_411
| ~ spl45_16
| ~ spl45_143 ),
inference(avatar_split_clause,[],[f1380,f1338,f559,f4858]) ).
fof(f4858,plain,
( spl45_411
<=> ! [X1] :
( sdtpldt0(X1,sz10) = sdtpldt0(sz10,X1)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_411])]) ).
fof(f1380,plain,
( ! [X1] :
( sdtpldt0(X1,sz10) = sdtpldt0(sz10,X1)
| ~ aInteger0(X1) )
| ~ spl45_16
| ~ spl45_143 ),
inference(resolution,[],[f1339,f561]) ).
fof(f4856,plain,
( spl45_410
| ~ spl45_17
| ~ spl45_143 ),
inference(avatar_split_clause,[],[f1379,f1338,f564,f4854]) ).
fof(f4854,plain,
( spl45_410
<=> ! [X0] :
( sdtpldt0(X0,sz00) = sdtpldt0(sz00,X0)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_410])]) ).
fof(f1379,plain,
( ! [X0] :
( sdtpldt0(X0,sz00) = sdtpldt0(sz00,X0)
| ~ aInteger0(X0) )
| ~ spl45_17
| ~ spl45_143 ),
inference(resolution,[],[f1339,f566]) ).
fof(f4852,plain,
( spl45_409
| ~ spl45_16
| ~ spl45_142 ),
inference(avatar_split_clause,[],[f1367,f1334,f559,f4850]) ).
fof(f4850,plain,
( spl45_409
<=> ! [X1] :
( sdtasdt0(X1,sz10) = sdtasdt0(sz10,X1)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_409])]) ).
fof(f1367,plain,
( ! [X1] :
( sdtasdt0(X1,sz10) = sdtasdt0(sz10,X1)
| ~ aInteger0(X1) )
| ~ spl45_16
| ~ spl45_142 ),
inference(resolution,[],[f1335,f561]) ).
fof(f4848,plain,
( spl45_408
| ~ spl45_17
| ~ spl45_142 ),
inference(avatar_split_clause,[],[f1366,f1334,f564,f4846]) ).
fof(f4846,plain,
( spl45_408
<=> ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sz00,X0)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_408])]) ).
fof(f1366,plain,
( ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sz00,X0)
| ~ aInteger0(X0) )
| ~ spl45_17
| ~ spl45_142 ),
inference(resolution,[],[f1335,f566]) ).
fof(f4843,plain,
( ~ spl45_406
| spl45_407
| ~ spl45_134 ),
inference(avatar_split_clause,[],[f1359,f1298,f4841,f4837]) ).
fof(f4841,plain,
( spl45_407
<=> ! [X0] :
( ~ isPrime0(X0)
| ~ aDivisorOf0(X0,smndt0(sz10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_407])]) ).
fof(f1298,plain,
( spl45_134
<=> ! [X2,X0] :
( smndt0(sz10) != X0
| ~ isPrime0(X2)
| ~ aDivisorOf0(X2,X0)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_134])]) ).
fof(f1359,plain,
( ! [X0] :
( ~ isPrime0(X0)
| ~ aDivisorOf0(X0,smndt0(sz10))
| ~ aInteger0(smndt0(sz10)) )
| ~ spl45_134 ),
inference(equality_resolution,[],[f1299]) ).
fof(f1299,plain,
( ! [X2,X0] :
( smndt0(sz10) != X0
| ~ isPrime0(X2)
| ~ aDivisorOf0(X2,X0)
| ~ aInteger0(X0) )
| ~ spl45_134 ),
inference(avatar_component_clause,[],[f1298]) ).
fof(f4835,plain,
( spl45_405
| ~ spl45_34
| ~ spl45_108 ),
inference(avatar_split_clause,[],[f1186,f1097,f651,f4833]) ).
fof(f4833,plain,
( spl45_405
<=> ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP14(X1)
| sP13(sK35(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_405])]) ).
fof(f651,plain,
( spl45_34
<=> ! [X0] :
( sP13(X0)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_34])]) ).
fof(f1186,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP14(X1)
| sP13(sK35(X1,X0)) )
| ~ spl45_34
| ~ spl45_108 ),
inference(resolution,[],[f1098,f652]) ).
fof(f652,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sP13(X0) )
| ~ spl45_34 ),
inference(avatar_component_clause,[],[f651]) ).
fof(f4831,plain,
( spl45_404
| ~ spl45_34
| ~ spl45_104 ),
inference(avatar_split_clause,[],[f1153,f1080,f651,f4829]) ).
fof(f4829,plain,
( spl45_404
<=> ! [X2,X0,X1] :
( ~ sP4(X0,X1,X2)
| sP13(sK30(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_404])]) ).
fof(f1153,plain,
( ! [X2,X0,X1] :
( ~ sP4(X0,X1,X2)
| sP13(sK30(X0,X1,X2)) )
| ~ spl45_34
| ~ spl45_104 ),
inference(resolution,[],[f1081,f652]) ).
fof(f4827,plain,
( spl45_403
| ~ spl45_144
| ~ spl45_361 ),
inference(avatar_split_clause,[],[f4312,f4254,f1343,f4824]) ).
fof(f4824,plain,
( spl45_403
<=> sz00 = sdtasdt0(sK29(sK26),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_403])]) ).
fof(f4254,plain,
( spl45_361
<=> ! [X2] :
( sz00 = sdtasdt0(sK29(X2),sz00)
| ~ sP7(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_361])]) ).
fof(f4312,plain,
( sz00 = sdtasdt0(sK29(sK26),sz00)
| ~ spl45_144
| ~ spl45_361 ),
inference(resolution,[],[f4255,f1345]) ).
fof(f4255,plain,
( ! [X2] :
( ~ sP7(X2)
| sz00 = sdtasdt0(sK29(X2),sz00) )
| ~ spl45_361 ),
inference(avatar_component_clause,[],[f4254]) ).
fof(f4822,plain,
( spl45_402
| ~ spl45_34
| ~ spl45_102 ),
inference(avatar_split_clause,[],[f1143,f1072,f651,f4820]) ).
fof(f4820,plain,
( spl45_402
<=> ! [X2,X0,X1] :
( ~ sP8(X0,X1,X2)
| sP13(sK28(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_402])]) ).
fof(f1143,plain,
( ! [X2,X0,X1] :
( ~ sP8(X0,X1,X2)
| sP13(sK28(X0,X1,X2)) )
| ~ spl45_34
| ~ spl45_102 ),
inference(resolution,[],[f1073,f652]) ).
fof(f4818,plain,
( spl45_401
| ~ spl45_34
| ~ spl45_100 ),
inference(avatar_split_clause,[],[f1132,f1064,f651,f4816]) ).
fof(f4816,plain,
( spl45_401
<=> ! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| sP13(sK25(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_401])]) ).
fof(f1132,plain,
( ! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| sP13(sK25(X0,X1,X2)) )
| ~ spl45_34
| ~ spl45_100 ),
inference(resolution,[],[f1065,f652]) ).
fof(f4814,plain,
( spl45_400
| ~ spl45_39
| ~ spl45_77 ),
inference(avatar_split_clause,[],[f914,f858,f676,f4812]) ).
fof(f914,plain,
( ! [X2] :
( sK29(X2) = sdtpldt0(sz00,sK29(X2))
| ~ sP7(X2) )
| ~ spl45_39
| ~ spl45_77 ),
inference(resolution,[],[f859,f677]) ).
fof(f4810,plain,
( spl45_399
| ~ spl45_38
| ~ spl45_77 ),
inference(avatar_split_clause,[],[f913,f858,f672,f4808]) ).
fof(f913,plain,
( ! [X1] :
( sK27(X1) = sdtpldt0(sz00,sK27(X1))
| ~ sP11(X1) )
| ~ spl45_38
| ~ spl45_77 ),
inference(resolution,[],[f859,f673]) ).
fof(f4806,plain,
( spl45_398
| ~ spl45_40
| ~ spl45_77 ),
inference(avatar_split_clause,[],[f911,f858,f680,f4804]) ).
fof(f911,plain,
( ! [X0] :
( smndt0(X0) = sdtpldt0(sz00,smndt0(X0))
| ~ aInteger0(X0) )
| ~ spl45_40
| ~ spl45_77 ),
inference(resolution,[],[f859,f681]) ).
fof(f4802,plain,
( spl45_397
| ~ spl45_39
| ~ spl45_76 ),
inference(avatar_split_clause,[],[f903,f854,f676,f4800]) ).
fof(f903,plain,
( ! [X2] :
( sK29(X2) = sdtpldt0(sK29(X2),sz00)
| ~ sP7(X2) )
| ~ spl45_39
| ~ spl45_76 ),
inference(resolution,[],[f855,f677]) ).
fof(f4798,plain,
( spl45_396
| ~ spl45_38
| ~ spl45_76 ),
inference(avatar_split_clause,[],[f902,f854,f672,f4796]) ).
fof(f902,plain,
( ! [X1] :
( sK27(X1) = sdtpldt0(sK27(X1),sz00)
| ~ sP11(X1) )
| ~ spl45_38
| ~ spl45_76 ),
inference(resolution,[],[f855,f673]) ).
fof(f4794,plain,
( spl45_395
| ~ spl45_40
| ~ spl45_76 ),
inference(avatar_split_clause,[],[f900,f854,f680,f4792]) ).
fof(f900,plain,
( ! [X0] :
( smndt0(X0) = sdtpldt0(smndt0(X0),sz00)
| ~ aInteger0(X0) )
| ~ spl45_40
| ~ spl45_76 ),
inference(resolution,[],[f855,f681]) ).
fof(f4790,plain,
( spl45_394
| ~ spl45_39
| ~ spl45_75 ),
inference(avatar_split_clause,[],[f897,f850,f676,f4788]) ).
fof(f897,plain,
( ! [X2] :
( sK29(X2) = sdtasdt0(sz10,sK29(X2))
| ~ sP7(X2) )
| ~ spl45_39
| ~ spl45_75 ),
inference(resolution,[],[f851,f677]) ).
fof(f4786,plain,
( spl45_393
| ~ spl45_38
| ~ spl45_75 ),
inference(avatar_split_clause,[],[f896,f850,f672,f4784]) ).
fof(f896,plain,
( ! [X1] :
( sK27(X1) = sdtasdt0(sz10,sK27(X1))
| ~ sP11(X1) )
| ~ spl45_38
| ~ spl45_75 ),
inference(resolution,[],[f851,f673]) ).
fof(f4782,plain,
( spl45_392
| ~ spl45_171
| ~ spl45_360 ),
inference(avatar_split_clause,[],[f4310,f4250,f1578,f4779]) ).
fof(f4779,plain,
( spl45_392
<=> sz00 = sdtasdt0(sK27(sK26),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_392])]) ).
fof(f4250,plain,
( spl45_360
<=> ! [X1] :
( sz00 = sdtasdt0(sK27(X1),sz00)
| ~ sP11(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_360])]) ).
fof(f4310,plain,
( sz00 = sdtasdt0(sK27(sK26),sz00)
| ~ spl45_171
| ~ spl45_360 ),
inference(resolution,[],[f4251,f1580]) ).
fof(f4251,plain,
( ! [X1] :
( ~ sP11(X1)
| sz00 = sdtasdt0(sK27(X1),sz00) )
| ~ spl45_360 ),
inference(avatar_component_clause,[],[f4250]) ).
fof(f4777,plain,
( spl45_391
| ~ spl45_40
| ~ spl45_75 ),
inference(avatar_split_clause,[],[f894,f850,f680,f4775]) ).
fof(f894,plain,
( ! [X0] :
( smndt0(X0) = sdtasdt0(sz10,smndt0(X0))
| ~ aInteger0(X0) )
| ~ spl45_40
| ~ spl45_75 ),
inference(resolution,[],[f851,f681]) ).
fof(f4773,plain,
( spl45_390
| ~ spl45_39
| ~ spl45_74 ),
inference(avatar_split_clause,[],[f891,f846,f676,f4771]) ).
fof(f891,plain,
( ! [X2] :
( sK29(X2) = sdtasdt0(sK29(X2),sz10)
| ~ sP7(X2) )
| ~ spl45_39
| ~ spl45_74 ),
inference(resolution,[],[f847,f677]) ).
fof(f4769,plain,
( spl45_389
| ~ spl45_38
| ~ spl45_74 ),
inference(avatar_split_clause,[],[f890,f846,f672,f4767]) ).
fof(f890,plain,
( ! [X1] :
( sK27(X1) = sdtasdt0(sK27(X1),sz10)
| ~ sP11(X1) )
| ~ spl45_38
| ~ spl45_74 ),
inference(resolution,[],[f847,f673]) ).
fof(f4765,plain,
( spl45_388
| ~ spl45_40
| ~ spl45_74 ),
inference(avatar_split_clause,[],[f888,f846,f680,f4763]) ).
fof(f888,plain,
( ! [X0] :
( smndt0(X0) = sdtasdt0(smndt0(X0),sz10)
| ~ aInteger0(X0) )
| ~ spl45_40
| ~ spl45_74 ),
inference(resolution,[],[f847,f681]) ).
fof(f4677,plain,
( spl45_387
| ~ spl45_36
| ~ spl45_191 ),
inference(avatar_split_clause,[],[f1938,f1833,f663,f4675]) ).
fof(f4675,plain,
( spl45_387
<=> ! [X0,X1] :
( aInteger0(sK44(X0,X1,cS1395))
| sP23(X0,X1,cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_387])]) ).
fof(f1938,plain,
( ! [X0,X1] :
( aInteger0(sK44(X0,X1,cS1395))
| sP23(X0,X1,cS1395) )
| ~ spl45_36
| ~ spl45_191 ),
inference(duplicate_literal_removal,[],[f1903]) ).
fof(f1903,plain,
( ! [X0,X1] :
( aInteger0(sK44(X0,X1,cS1395))
| sP23(X0,X1,cS1395)
| aInteger0(sK44(X0,X1,cS1395)) )
| ~ spl45_36
| ~ spl45_191 ),
inference(resolution,[],[f1834,f664]) ).
fof(f4673,plain,
( spl45_386
| ~ spl45_36
| ~ spl45_189 ),
inference(avatar_split_clause,[],[f1900,f1825,f663,f4671]) ).
fof(f4671,plain,
( spl45_386
<=> ! [X0,X1] :
( aInteger0(sK43(X0,X1,cS1395))
| sP22(X0,X1,cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_386])]) ).
fof(f1900,plain,
( ! [X0,X1] :
( aInteger0(sK43(X0,X1,cS1395))
| sP22(X0,X1,cS1395) )
| ~ spl45_36
| ~ spl45_189 ),
inference(duplicate_literal_removal,[],[f1865]) ).
fof(f1865,plain,
( ! [X0,X1] :
( aInteger0(sK43(X0,X1,cS1395))
| sP22(X0,X1,cS1395)
| aInteger0(sK43(X0,X1,cS1395)) )
| ~ spl45_36
| ~ spl45_189 ),
inference(resolution,[],[f1826,f664]) ).
fof(f4639,plain,
( ~ spl45_11
| spl45_385
| ~ spl45_36
| ~ spl45_175 ),
inference(avatar_split_clause,[],[f1777,f1694,f663,f4637,f534]) ).
fof(f4637,plain,
( spl45_385
<=> ! [X0] :
( aInteger0(sK36(X0,cS1395))
| sP16(X0,cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_385])]) ).
fof(f1777,plain,
( ! [X0] :
( aInteger0(sK36(X0,cS1395))
| sP16(X0,cS1395)
| ~ aSet0(cS1395) )
| ~ spl45_36
| ~ spl45_175 ),
inference(duplicate_literal_removal,[],[f1742]) ).
fof(f1742,plain,
( ! [X0] :
( aInteger0(sK36(X0,cS1395))
| sP16(X0,cS1395)
| ~ aSet0(cS1395)
| aInteger0(sK36(X0,cS1395)) )
| ~ spl45_36
| ~ spl45_175 ),
inference(resolution,[],[f1695,f664]) ).
fof(f4635,plain,
( spl45_384
| ~ spl45_48
| ~ spl45_151 ),
inference(avatar_split_clause,[],[f1516,f1417,f724,f4633]) ).
fof(f4633,plain,
( spl45_384
<=> ! [X10] :
( aInteger0(sK37(X10,stldt0(xA)))
| sP18(X10,stldt0(xA)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_384])]) ).
fof(f1516,plain,
( ! [X10] :
( aInteger0(sK37(X10,stldt0(xA)))
| sP18(X10,stldt0(xA)) )
| ~ spl45_48
| ~ spl45_151 ),
inference(duplicate_literal_removal,[],[f1500]) ).
fof(f1500,plain,
( ! [X10] :
( aInteger0(sK37(X10,stldt0(xA)))
| sP18(X10,stldt0(xA))
| aInteger0(sK37(X10,stldt0(xA))) )
| ~ spl45_48
| ~ spl45_151 ),
inference(resolution,[],[f1418,f725]) ).
fof(f4631,plain,
( spl45_383
| ~ spl45_50
| ~ spl45_151 ),
inference(avatar_split_clause,[],[f1515,f1417,f732,f4629]) ).
fof(f4629,plain,
( spl45_383
<=> ! [X14] :
( aInteger0(sK37(X14,stldt0(xB)))
| sP18(X14,stldt0(xB)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_383])]) ).
fof(f1515,plain,
( ! [X14] :
( aInteger0(sK37(X14,stldt0(xB)))
| sP18(X14,stldt0(xB)) )
| ~ spl45_50
| ~ spl45_151 ),
inference(duplicate_literal_removal,[],[f1504]) ).
fof(f1504,plain,
( ! [X14] :
( aInteger0(sK37(X14,stldt0(xB)))
| sP18(X14,stldt0(xB))
| aInteger0(sK37(X14,stldt0(xB))) )
| ~ spl45_50
| ~ spl45_151 ),
inference(resolution,[],[f1418,f733]) ).
fof(f4626,plain,
( spl45_381
| ~ spl45_12
| spl45_382
| ~ spl45_47
| ~ spl45_113 ),
inference(avatar_split_clause,[],[f1218,f1117,f720,f4623,f539,f4619]) ).
fof(f4619,plain,
( spl45_381
<=> aElementOf0(sK41(xB),cS1395) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_381])]) ).
fof(f4623,plain,
( spl45_382
<=> isOpen0(sbsmnsldt0(xB)) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_382])]) ).
fof(f1218,plain,
( isOpen0(sbsmnsldt0(xB))
| ~ aSet0(xB)
| aElementOf0(sK41(xB),cS1395)
| ~ spl45_47
| ~ spl45_113 ),
inference(resolution,[],[f1118,f721]) ).
fof(f4616,plain,
( spl45_379
| ~ spl45_10
| spl45_380
| ~ spl45_46
| ~ spl45_113 ),
inference(avatar_split_clause,[],[f1217,f1117,f716,f4613,f529,f4609]) ).
fof(f4609,plain,
( spl45_379
<=> aElementOf0(sK41(xA),cS1395) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_379])]) ).
fof(f4613,plain,
( spl45_380
<=> isOpen0(sbsmnsldt0(xA)) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_380])]) ).
fof(f1217,plain,
( isOpen0(sbsmnsldt0(xA))
| ~ aSet0(xA)
| aElementOf0(sK41(xA),cS1395)
| ~ spl45_46
| ~ spl45_113 ),
inference(resolution,[],[f1118,f717]) ).
fof(f4576,plain,
( spl45_378
| ~ spl45_22
| ~ spl45_219 ),
inference(avatar_split_clause,[],[f2490,f2420,f587,f4574]) ).
fof(f4574,plain,
( spl45_378
<=> ! [X14,X15] :
( aElementOf0(sK44(stldt0(sdtbsmnsldt0(xA,xB)),X14,X15),X15)
| aElementOf0(sK44(stldt0(sdtbsmnsldt0(xA,xB)),X14,X15),X14)
| sP23(stldt0(sdtbsmnsldt0(xA,xB)),X14,X15)
| ~ aElementOf0(sK44(stldt0(sdtbsmnsldt0(xA,xB)),X14,X15),sdtbsmnsldt0(xA,xB)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_378])]) ).
fof(f587,plain,
( spl45_22
<=> ! [X2] :
( ~ aElementOf0(X2,sdtbsmnsldt0(xA,xB))
| ~ aElementOf0(X2,stldt0(sdtbsmnsldt0(xA,xB))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_22])]) ).
fof(f2490,plain,
( ! [X14,X15] :
( aElementOf0(sK44(stldt0(sdtbsmnsldt0(xA,xB)),X14,X15),X15)
| aElementOf0(sK44(stldt0(sdtbsmnsldt0(xA,xB)),X14,X15),X14)
| sP23(stldt0(sdtbsmnsldt0(xA,xB)),X14,X15)
| ~ aElementOf0(sK44(stldt0(sdtbsmnsldt0(xA,xB)),X14,X15),sdtbsmnsldt0(xA,xB)) )
| ~ spl45_22
| ~ spl45_219 ),
inference(resolution,[],[f2421,f588]) ).
fof(f588,plain,
( ! [X2] :
( ~ aElementOf0(X2,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aElementOf0(X2,sdtbsmnsldt0(xA,xB)) )
| ~ spl45_22 ),
inference(avatar_component_clause,[],[f587]) ).
fof(f4572,plain,
( spl45_377
| ~ spl45_22
| ~ spl45_219 ),
inference(avatar_split_clause,[],[f2460,f2420,f587,f4570]) ).
fof(f4570,plain,
( spl45_377
<=> ! [X14,X15] :
( aElementOf0(sK44(X14,stldt0(sdtbsmnsldt0(xA,xB)),X15),X15)
| aElementOf0(sK44(X14,stldt0(sdtbsmnsldt0(xA,xB)),X15),X14)
| sP23(X14,stldt0(sdtbsmnsldt0(xA,xB)),X15)
| ~ aElementOf0(sK44(X14,stldt0(sdtbsmnsldt0(xA,xB)),X15),sdtbsmnsldt0(xA,xB)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_377])]) ).
fof(f2460,plain,
( ! [X14,X15] :
( aElementOf0(sK44(X14,stldt0(sdtbsmnsldt0(xA,xB)),X15),X15)
| aElementOf0(sK44(X14,stldt0(sdtbsmnsldt0(xA,xB)),X15),X14)
| sP23(X14,stldt0(sdtbsmnsldt0(xA,xB)),X15)
| ~ aElementOf0(sK44(X14,stldt0(sdtbsmnsldt0(xA,xB)),X15),sdtbsmnsldt0(xA,xB)) )
| ~ spl45_22
| ~ spl45_219 ),
inference(resolution,[],[f2421,f588]) ).
fof(f4568,plain,
( spl45_376
| ~ spl45_22
| ~ spl45_219 ),
inference(avatar_split_clause,[],[f2430,f2420,f587,f4566]) ).
fof(f4566,plain,
( spl45_376
<=> ! [X16,X17] :
( aElementOf0(sK44(X16,X17,stldt0(sdtbsmnsldt0(xA,xB))),X17)
| aElementOf0(sK44(X16,X17,stldt0(sdtbsmnsldt0(xA,xB))),X16)
| sP23(X16,X17,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aElementOf0(sK44(X16,X17,stldt0(sdtbsmnsldt0(xA,xB))),sdtbsmnsldt0(xA,xB)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_376])]) ).
fof(f2430,plain,
( ! [X16,X17] :
( aElementOf0(sK44(X16,X17,stldt0(sdtbsmnsldt0(xA,xB))),X17)
| aElementOf0(sK44(X16,X17,stldt0(sdtbsmnsldt0(xA,xB))),X16)
| sP23(X16,X17,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aElementOf0(sK44(X16,X17,stldt0(sdtbsmnsldt0(xA,xB))),sdtbsmnsldt0(xA,xB)) )
| ~ spl45_22
| ~ spl45_219 ),
inference(resolution,[],[f2421,f588]) ).
fof(f4525,plain,
( ~ spl45_3
| spl45_375
| ~ spl45_30
| ~ spl45_206 ),
inference(avatar_split_clause,[],[f2236,f2192,f631,f4523,f497]) ).
fof(f497,plain,
( spl45_3
<=> aSet0(stldt0(sdtbsmnsldt0(xA,xB))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_3])]) ).
fof(f4523,plain,
( spl45_375
<=> ! [X6] :
( aElementOf0(sK36(X6,stldt0(sdtbsmnsldt0(xA,xB))),X6)
| aElementOf0(sK36(X6,stldt0(sdtbsmnsldt0(xA,xB))),sdtbsmnsldt0(xA,xB))
| sP16(X6,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aInteger0(sK36(X6,stldt0(sdtbsmnsldt0(xA,xB)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_375])]) ).
fof(f2236,plain,
( ! [X6] :
( aElementOf0(sK36(X6,stldt0(sdtbsmnsldt0(xA,xB))),X6)
| ~ aInteger0(sK36(X6,stldt0(sdtbsmnsldt0(xA,xB))))
| sP16(X6,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0(sK36(X6,stldt0(sdtbsmnsldt0(xA,xB))),sdtbsmnsldt0(xA,xB)) )
| ~ spl45_30
| ~ spl45_206 ),
inference(duplicate_literal_removal,[],[f2225]) ).
fof(f2225,plain,
( ! [X6] :
( aElementOf0(sK36(X6,stldt0(sdtbsmnsldt0(xA,xB))),X6)
| ~ aInteger0(sK36(X6,stldt0(sdtbsmnsldt0(xA,xB))))
| sP16(X6,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0(sK36(X6,stldt0(sdtbsmnsldt0(xA,xB))),sdtbsmnsldt0(xA,xB))
| ~ aInteger0(sK36(X6,stldt0(sdtbsmnsldt0(xA,xB)))) )
| ~ spl45_30
| ~ spl45_206 ),
inference(resolution,[],[f2193,f632]) ).
fof(f4453,plain,
( spl45_374
| ~ spl45_15
| ~ spl45_362 ),
inference(avatar_split_clause,[],[f4320,f4258,f554,f4450]) ).
fof(f4450,plain,
( spl45_374
<=> sz00 = sdtasdt0(sz00,smndt0(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_374])]) ).
fof(f4258,plain,
( spl45_362
<=> ! [X0] :
( sz00 = sdtasdt0(sz00,smndt0(X0))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_362])]) ).
fof(f4320,plain,
( sz00 = sdtasdt0(sz00,smndt0(sK26))
| ~ spl45_15
| ~ spl45_362 ),
inference(resolution,[],[f4259,f556]) ).
fof(f4259,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sz00,smndt0(X0)) )
| ~ spl45_362 ),
inference(avatar_component_clause,[],[f4258]) ).
fof(f4448,plain,
( spl45_373
| ~ spl45_30
| ~ spl45_218 ),
inference(avatar_split_clause,[],[f2413,f2372,f631,f4446]) ).
fof(f4446,plain,
( spl45_373
<=> ! [X12,X11] :
( ~ aElementOf0(sK44(X11,X12,stldt0(sdtbsmnsldt0(xA,xB))),X11)
| ~ aInteger0(sK44(X11,X12,stldt0(sdtbsmnsldt0(xA,xB))))
| sP23(X11,X12,stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0(sK44(X11,X12,stldt0(sdtbsmnsldt0(xA,xB))),sdtbsmnsldt0(xA,xB)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_373])]) ).
fof(f2413,plain,
( ! [X11,X12] :
( ~ aElementOf0(sK44(X11,X12,stldt0(sdtbsmnsldt0(xA,xB))),X11)
| ~ aInteger0(sK44(X11,X12,stldt0(sdtbsmnsldt0(xA,xB))))
| sP23(X11,X12,stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0(sK44(X11,X12,stldt0(sdtbsmnsldt0(xA,xB))),sdtbsmnsldt0(xA,xB)) )
| ~ spl45_30
| ~ spl45_218 ),
inference(duplicate_literal_removal,[],[f2402]) ).
fof(f2402,plain,
( ! [X11,X12] :
( ~ aElementOf0(sK44(X11,X12,stldt0(sdtbsmnsldt0(xA,xB))),X11)
| ~ aInteger0(sK44(X11,X12,stldt0(sdtbsmnsldt0(xA,xB))))
| sP23(X11,X12,stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0(sK44(X11,X12,stldt0(sdtbsmnsldt0(xA,xB))),sdtbsmnsldt0(xA,xB))
| ~ aInteger0(sK44(X11,X12,stldt0(sdtbsmnsldt0(xA,xB)))) )
| ~ spl45_30
| ~ spl45_218 ),
inference(resolution,[],[f2373,f632]) ).
fof(f4444,plain,
( spl45_372
| ~ spl45_30
| ~ spl45_217 ),
inference(avatar_split_clause,[],[f2391,f2367,f631,f4442]) ).
fof(f4442,plain,
( spl45_372
<=> ! [X11,X12] :
( ~ aElementOf0(sK44(X11,X12,stldt0(sdtbsmnsldt0(xA,xB))),X12)
| ~ aInteger0(sK44(X11,X12,stldt0(sdtbsmnsldt0(xA,xB))))
| sP23(X11,X12,stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0(sK44(X11,X12,stldt0(sdtbsmnsldt0(xA,xB))),sdtbsmnsldt0(xA,xB)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_372])]) ).
fof(f2391,plain,
( ! [X11,X12] :
( ~ aElementOf0(sK44(X11,X12,stldt0(sdtbsmnsldt0(xA,xB))),X12)
| ~ aInteger0(sK44(X11,X12,stldt0(sdtbsmnsldt0(xA,xB))))
| sP23(X11,X12,stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0(sK44(X11,X12,stldt0(sdtbsmnsldt0(xA,xB))),sdtbsmnsldt0(xA,xB)) )
| ~ spl45_30
| ~ spl45_217 ),
inference(duplicate_literal_removal,[],[f2380]) ).
fof(f2380,plain,
( ! [X11,X12] :
( ~ aElementOf0(sK44(X11,X12,stldt0(sdtbsmnsldt0(xA,xB))),X12)
| ~ aInteger0(sK44(X11,X12,stldt0(sdtbsmnsldt0(xA,xB))))
| sP23(X11,X12,stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0(sK44(X11,X12,stldt0(sdtbsmnsldt0(xA,xB))),sdtbsmnsldt0(xA,xB))
| ~ aInteger0(sK44(X11,X12,stldt0(sdtbsmnsldt0(xA,xB)))) )
| ~ spl45_30
| ~ spl45_217 ),
inference(resolution,[],[f2368,f632]) ).
fof(f4434,plain,
( ~ spl45_1
| spl45_371
| ~ spl45_21
| ~ spl45_208 ),
inference(avatar_split_clause,[],[f2244,f2201,f583,f4432,f487]) ).
fof(f487,plain,
( spl45_1
<=> aSet0(sdtbsmnsldt0(xA,xB)) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_1])]) ).
fof(f4432,plain,
( spl45_371
<=> ! [X2,X3] :
( sdteqdtlpzmzozddtrp0(sK42(X2,X3,sdtbsmnsldt0(xA,xB)),X3,X2)
| aElementOf0(sK42(X2,X3,sdtbsmnsldt0(xA,xB)),xB)
| aElementOf0(sK42(X2,X3,sdtbsmnsldt0(xA,xB)),xA)
| sP20(X2,X3,sdtbsmnsldt0(xA,xB)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_371])]) ).
fof(f2201,plain,
( spl45_208
<=> ! [X2,X0,X1] :
( sP20(X0,X1,X2)
| sdteqdtlpzmzozddtrp0(sK42(X0,X1,X2),X1,X0)
| aElementOf0(sK42(X0,X1,X2),X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_208])]) ).
fof(f2244,plain,
( ! [X2,X3] :
( sdteqdtlpzmzozddtrp0(sK42(X2,X3,sdtbsmnsldt0(xA,xB)),X3,X2)
| sP20(X2,X3,sdtbsmnsldt0(xA,xB))
| ~ aSet0(sdtbsmnsldt0(xA,xB))
| aElementOf0(sK42(X2,X3,sdtbsmnsldt0(xA,xB)),xA)
| aElementOf0(sK42(X2,X3,sdtbsmnsldt0(xA,xB)),xB) )
| ~ spl45_21
| ~ spl45_208 ),
inference(resolution,[],[f2202,f584]) ).
fof(f2202,plain,
( ! [X2,X0,X1] :
( sdteqdtlpzmzozddtrp0(sK42(X0,X1,X2),X1,X0)
| aElementOf0(sK42(X0,X1,X2),X2)
| sP20(X0,X1,X2)
| ~ aSet0(X2) )
| ~ spl45_208 ),
inference(avatar_component_clause,[],[f2201]) ).
fof(f4387,plain,
( ~ spl45_3
| spl45_370
| ~ spl45_22
| ~ spl45_208 ),
inference(avatar_split_clause,[],[f2248,f2201,f587,f4385,f497]) ).
fof(f4385,plain,
( spl45_370
<=> ! [X11,X10] :
( sdteqdtlpzmzozddtrp0(sK42(X10,X11,stldt0(sdtbsmnsldt0(xA,xB))),X11,X10)
| ~ aElementOf0(sK42(X10,X11,stldt0(sdtbsmnsldt0(xA,xB))),sdtbsmnsldt0(xA,xB))
| sP20(X10,X11,stldt0(sdtbsmnsldt0(xA,xB))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_370])]) ).
fof(f2248,plain,
( ! [X10,X11] :
( sdteqdtlpzmzozddtrp0(sK42(X10,X11,stldt0(sdtbsmnsldt0(xA,xB))),X11,X10)
| sP20(X10,X11,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aElementOf0(sK42(X10,X11,stldt0(sdtbsmnsldt0(xA,xB))),sdtbsmnsldt0(xA,xB)) )
| ~ spl45_22
| ~ spl45_208 ),
inference(resolution,[],[f2202,f588]) ).
fof(f4383,plain,
( spl45_369
| ~ spl45_30
| ~ spl45_185 ),
inference(avatar_split_clause,[],[f1853,f1809,f631,f4381]) ).
fof(f4381,plain,
( spl45_369
<=> ! [X4] :
( sP16(stldt0(sdtbsmnsldt0(xA,xB)),X4)
| aElementOf0(sK36(stldt0(sdtbsmnsldt0(xA,xB)),X4),X4)
| ~ aSet0(X4)
| aElementOf0(sK36(stldt0(sdtbsmnsldt0(xA,xB)),X4),sdtbsmnsldt0(xA,xB))
| ~ aInteger0(sK36(stldt0(sdtbsmnsldt0(xA,xB)),X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_369])]) ).
fof(f1853,plain,
( ! [X4] :
( sP16(stldt0(sdtbsmnsldt0(xA,xB)),X4)
| aElementOf0(sK36(stldt0(sdtbsmnsldt0(xA,xB)),X4),X4)
| ~ aSet0(X4)
| aElementOf0(sK36(stldt0(sdtbsmnsldt0(xA,xB)),X4),sdtbsmnsldt0(xA,xB))
| ~ aInteger0(sK36(stldt0(sdtbsmnsldt0(xA,xB)),X4)) )
| ~ spl45_30
| ~ spl45_185 ),
inference(resolution,[],[f1810,f632]) ).
fof(f4350,plain,
( spl45_368
| ~ spl45_15
| ~ spl45_359 ),
inference(avatar_split_clause,[],[f4288,f4246,f554,f4347]) ).
fof(f4347,plain,
( spl45_368
<=> sz00 = sdtasdt0(smndt0(sK26),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_368])]) ).
fof(f4246,plain,
( spl45_359
<=> ! [X0] :
( sz00 = sdtasdt0(smndt0(X0),sz00)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_359])]) ).
fof(f4288,plain,
( sz00 = sdtasdt0(smndt0(sK26),sz00)
| ~ spl45_15
| ~ spl45_359 ),
inference(resolution,[],[f4247,f556]) ).
fof(f4247,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(smndt0(X0),sz00) )
| ~ spl45_359 ),
inference(avatar_component_clause,[],[f4246]) ).
fof(f4281,plain,
( spl45_367
| ~ spl45_34
| ~ spl45_95 ),
inference(avatar_split_clause,[],[f1033,f980,f651,f4279]) ).
fof(f4279,plain,
( spl45_367
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sP13(sdtasdt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_367])]) ).
fof(f1033,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sP13(sdtasdt0(X1,X0)) )
| ~ spl45_34
| ~ spl45_95 ),
inference(resolution,[],[f981,f652]) ).
fof(f4277,plain,
( spl45_366
| ~ spl45_34
| ~ spl45_94 ),
inference(avatar_split_clause,[],[f1024,f976,f651,f4275]) ).
fof(f4275,plain,
( spl45_366
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sP13(sdtpldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_366])]) ).
fof(f1024,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sP13(sdtpldt0(X1,X0)) )
| ~ spl45_34
| ~ spl45_94 ),
inference(resolution,[],[f977,f652]) ).
fof(f4273,plain,
( spl45_365
| ~ spl45_271
| ~ spl45_311 ),
inference(avatar_split_clause,[],[f3759,f3632,f3193,f4270]) ).
fof(f4270,plain,
( spl45_365
<=> sdtasdt0(sK34(cS1395),sK26) = sdtasdt0(sK26,sK34(cS1395)) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_365])]) ).
fof(f3193,plain,
( spl45_271
<=> aInteger0(sK34(cS1395)) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_271])]) ).
fof(f3632,plain,
( spl45_311
<=> ! [X14] :
( sdtasdt0(X14,sK26) = sdtasdt0(sK26,X14)
| ~ aInteger0(X14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_311])]) ).
fof(f3759,plain,
( sdtasdt0(sK34(cS1395),sK26) = sdtasdt0(sK26,sK34(cS1395))
| ~ spl45_271
| ~ spl45_311 ),
inference(resolution,[],[f3633,f3195]) ).
fof(f3195,plain,
( aInteger0(sK34(cS1395))
| ~ spl45_271 ),
inference(avatar_component_clause,[],[f3193]) ).
fof(f3633,plain,
( ! [X14] :
( ~ aInteger0(X14)
| sdtasdt0(X14,sK26) = sdtasdt0(sK26,X14) )
| ~ spl45_311 ),
inference(avatar_component_clause,[],[f3632]) ).
fof(f4268,plain,
( spl45_364
| ~ spl45_39
| ~ spl45_73 ),
inference(avatar_split_clause,[],[f885,f842,f676,f4266]) ).
fof(f885,plain,
( ! [X2] :
( sz00 = sdtasdt0(sz00,sK29(X2))
| ~ sP7(X2) )
| ~ spl45_39
| ~ spl45_73 ),
inference(resolution,[],[f843,f677]) ).
fof(f4264,plain,
( spl45_363
| ~ spl45_38
| ~ spl45_73 ),
inference(avatar_split_clause,[],[f884,f842,f672,f4262]) ).
fof(f884,plain,
( ! [X1] :
( sz00 = sdtasdt0(sz00,sK27(X1))
| ~ sP11(X1) )
| ~ spl45_38
| ~ spl45_73 ),
inference(resolution,[],[f843,f673]) ).
fof(f4260,plain,
( spl45_362
| ~ spl45_40
| ~ spl45_73 ),
inference(avatar_split_clause,[],[f882,f842,f680,f4258]) ).
fof(f882,plain,
( ! [X0] :
( sz00 = sdtasdt0(sz00,smndt0(X0))
| ~ aInteger0(X0) )
| ~ spl45_40
| ~ spl45_73 ),
inference(resolution,[],[f843,f681]) ).
fof(f4256,plain,
( spl45_361
| ~ spl45_39
| ~ spl45_72 ),
inference(avatar_split_clause,[],[f879,f838,f676,f4254]) ).
fof(f879,plain,
( ! [X2] :
( sz00 = sdtasdt0(sK29(X2),sz00)
| ~ sP7(X2) )
| ~ spl45_39
| ~ spl45_72 ),
inference(resolution,[],[f839,f677]) ).
fof(f4252,plain,
( spl45_360
| ~ spl45_38
| ~ spl45_72 ),
inference(avatar_split_clause,[],[f878,f838,f672,f4250]) ).
fof(f878,plain,
( ! [X1] :
( sz00 = sdtasdt0(sK27(X1),sz00)
| ~ sP11(X1) )
| ~ spl45_38
| ~ spl45_72 ),
inference(resolution,[],[f839,f673]) ).
fof(f4248,plain,
( spl45_359
| ~ spl45_40
| ~ spl45_72 ),
inference(avatar_split_clause,[],[f876,f838,f680,f4246]) ).
fof(f876,plain,
( ! [X0] :
( sz00 = sdtasdt0(smndt0(X0),sz00)
| ~ aInteger0(X0) )
| ~ spl45_40
| ~ spl45_72 ),
inference(resolution,[],[f839,f681]) ).
fof(f4225,plain,
( spl45_357
| ~ spl45_11
| spl45_358
| ~ spl45_36
| ~ spl45_113 ),
inference(avatar_split_clause,[],[f1204,f1117,f663,f4222,f534,f4218]) ).
fof(f4218,plain,
( spl45_357
<=> aInteger0(sK41(cS1395)) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_357])]) ).
fof(f4222,plain,
( spl45_358
<=> isOpen0(sbsmnsldt0(cS1395)) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_358])]) ).
fof(f1204,plain,
( isOpen0(sbsmnsldt0(cS1395))
| ~ aSet0(cS1395)
| aInteger0(sK41(cS1395))
| ~ spl45_36
| ~ spl45_113 ),
inference(resolution,[],[f1118,f664]) ).
fof(f4215,plain,
( spl45_355
| ~ spl45_12
| spl45_356
| ~ spl45_47
| ~ spl45_92 ),
inference(avatar_split_clause,[],[f1023,f968,f720,f4212,f539,f4208]) ).
fof(f4208,plain,
( spl45_355
<=> aElementOf0(sK40(xB),cS1395) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_355])]) ).
fof(f4212,plain,
( spl45_356
<=> sP19(xB) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_356])]) ).
fof(f1023,plain,
( sP19(xB)
| ~ aSet0(xB)
| aElementOf0(sK40(xB),cS1395)
| ~ spl45_47
| ~ spl45_92 ),
inference(resolution,[],[f969,f721]) ).
fof(f4205,plain,
( spl45_353
| ~ spl45_10
| spl45_354
| ~ spl45_46
| ~ spl45_92 ),
inference(avatar_split_clause,[],[f1022,f968,f716,f4202,f529,f4198]) ).
fof(f4198,plain,
( spl45_353
<=> aElementOf0(sK40(xA),cS1395) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_353])]) ).
fof(f4202,plain,
( spl45_354
<=> sP19(xA) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_354])]) ).
fof(f1022,plain,
( sP19(xA)
| ~ aSet0(xA)
| aElementOf0(sK40(xA),cS1395)
| ~ spl45_46
| ~ spl45_92 ),
inference(resolution,[],[f969,f717]) ).
fof(f4046,plain,
( spl45_352
| ~ spl45_21
| ~ spl45_198 ),
inference(avatar_split_clause,[],[f2070,f1969,f583,f4044]) ).
fof(f4044,plain,
( spl45_352
<=> ! [X2,X3] :
( aElementOf0(sK43(sdtbsmnsldt0(xA,xB),X2,X3),X3)
| sP22(sdtbsmnsldt0(xA,xB),X2,X3)
| aElementOf0(sK43(sdtbsmnsldt0(xA,xB),X2,X3),xA)
| aElementOf0(sK43(sdtbsmnsldt0(xA,xB),X2,X3),xB) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_352])]) ).
fof(f2070,plain,
( ! [X2,X3] :
( aElementOf0(sK43(sdtbsmnsldt0(xA,xB),X2,X3),X3)
| sP22(sdtbsmnsldt0(xA,xB),X2,X3)
| aElementOf0(sK43(sdtbsmnsldt0(xA,xB),X2,X3),xA)
| aElementOf0(sK43(sdtbsmnsldt0(xA,xB),X2,X3),xB) )
| ~ spl45_21
| ~ spl45_198 ),
inference(resolution,[],[f1970,f584]) ).
fof(f4042,plain,
( spl45_351
| ~ spl45_21
| ~ spl45_198 ),
inference(avatar_split_clause,[],[f2042,f1969,f583,f4040]) ).
fof(f4040,plain,
( spl45_351
<=> ! [X2,X3] :
( aElementOf0(sK43(X2,X3,sdtbsmnsldt0(xA,xB)),X2)
| sP22(X2,X3,sdtbsmnsldt0(xA,xB))
| aElementOf0(sK43(X2,X3,sdtbsmnsldt0(xA,xB)),xA)
| aElementOf0(sK43(X2,X3,sdtbsmnsldt0(xA,xB)),xB) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_351])]) ).
fof(f2042,plain,
( ! [X2,X3] :
( aElementOf0(sK43(X2,X3,sdtbsmnsldt0(xA,xB)),X2)
| sP22(X2,X3,sdtbsmnsldt0(xA,xB))
| aElementOf0(sK43(X2,X3,sdtbsmnsldt0(xA,xB)),xA)
| aElementOf0(sK43(X2,X3,sdtbsmnsldt0(xA,xB)),xB) )
| ~ spl45_21
| ~ spl45_198 ),
inference(resolution,[],[f1970,f584]) ).
fof(f4038,plain,
( spl45_350
| ~ spl45_21
| ~ spl45_197 ),
inference(avatar_split_clause,[],[f2013,f1965,f583,f4036]) ).
fof(f4036,plain,
( spl45_350
<=> ! [X2,X3] :
( aElementOf0(sK43(X2,sdtbsmnsldt0(xA,xB),X3),X3)
| sP22(X2,sdtbsmnsldt0(xA,xB),X3)
| aElementOf0(sK43(X2,sdtbsmnsldt0(xA,xB),X3),xA)
| aElementOf0(sK43(X2,sdtbsmnsldt0(xA,xB),X3),xB) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_350])]) ).
fof(f2013,plain,
( ! [X2,X3] :
( aElementOf0(sK43(X2,sdtbsmnsldt0(xA,xB),X3),X3)
| sP22(X2,sdtbsmnsldt0(xA,xB),X3)
| aElementOf0(sK43(X2,sdtbsmnsldt0(xA,xB),X3),xA)
| aElementOf0(sK43(X2,sdtbsmnsldt0(xA,xB),X3),xB) )
| ~ spl45_21
| ~ spl45_197 ),
inference(resolution,[],[f1966,f584]) ).
fof(f4034,plain,
( spl45_349
| ~ spl45_21
| ~ spl45_197 ),
inference(avatar_split_clause,[],[f1985,f1965,f583,f4032]) ).
fof(f4032,plain,
( spl45_349
<=> ! [X2,X3] :
( aElementOf0(sK43(X2,X3,sdtbsmnsldt0(xA,xB)),X3)
| sP22(X2,X3,sdtbsmnsldt0(xA,xB))
| aElementOf0(sK43(X2,X3,sdtbsmnsldt0(xA,xB)),xA)
| aElementOf0(sK43(X2,X3,sdtbsmnsldt0(xA,xB)),xB) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_349])]) ).
fof(f1985,plain,
( ! [X2,X3] :
( aElementOf0(sK43(X2,X3,sdtbsmnsldt0(xA,xB)),X3)
| sP22(X2,X3,sdtbsmnsldt0(xA,xB))
| aElementOf0(sK43(X2,X3,sdtbsmnsldt0(xA,xB)),xA)
| aElementOf0(sK43(X2,X3,sdtbsmnsldt0(xA,xB)),xB) )
| ~ spl45_21
| ~ spl45_197 ),
inference(resolution,[],[f1966,f584]) ).
fof(f4024,plain,
( ~ spl45_3
| spl45_348
| ~ spl45_30
| ~ spl45_149 ),
inference(avatar_split_clause,[],[f1478,f1409,f631,f4022,f497]) ).
fof(f4022,plain,
( spl45_348
<=> ! [X3] :
( aSubsetOf0(X3,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aInteger0(sK33(stldt0(sdtbsmnsldt0(xA,xB)),X3))
| aElementOf0(sK33(stldt0(sdtbsmnsldt0(xA,xB)),X3),sdtbsmnsldt0(xA,xB))
| ~ aSet0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_348])]) ).
fof(f1478,plain,
( ! [X3] :
( aSubsetOf0(X3,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aSet0(X3)
| ~ aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0(sK33(stldt0(sdtbsmnsldt0(xA,xB)),X3),sdtbsmnsldt0(xA,xB))
| ~ aInteger0(sK33(stldt0(sdtbsmnsldt0(xA,xB)),X3)) )
| ~ spl45_30
| ~ spl45_149 ),
inference(resolution,[],[f1410,f632]) ).
fof(f4004,plain,
( spl45_347
| ~ spl45_20
| ~ spl45_218 ),
inference(avatar_split_clause,[],[f2416,f2372,f577,f4002]) ).
fof(f4002,plain,
( spl45_347
<=> ! [X6,X5] :
( ~ aElementOf0(sK44(X5,X6,sdtbsmnsldt0(xA,xB)),X5)
| ~ aInteger0(sK44(X5,X6,sdtbsmnsldt0(xA,xB)))
| sP23(X5,X6,sdtbsmnsldt0(xA,xB))
| ~ aElementOf0(sK44(X5,X6,sdtbsmnsldt0(xA,xB)),xB) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_347])]) ).
fof(f2416,plain,
( ! [X6,X5] :
( ~ aElementOf0(sK44(X5,X6,sdtbsmnsldt0(xA,xB)),X5)
| ~ aInteger0(sK44(X5,X6,sdtbsmnsldt0(xA,xB)))
| sP23(X5,X6,sdtbsmnsldt0(xA,xB))
| ~ aElementOf0(sK44(X5,X6,sdtbsmnsldt0(xA,xB)),xB) )
| ~ spl45_20
| ~ spl45_218 ),
inference(duplicate_literal_removal,[],[f2399]) ).
fof(f2399,plain,
( ! [X6,X5] :
( ~ aElementOf0(sK44(X5,X6,sdtbsmnsldt0(xA,xB)),X5)
| ~ aInteger0(sK44(X5,X6,sdtbsmnsldt0(xA,xB)))
| sP23(X5,X6,sdtbsmnsldt0(xA,xB))
| ~ aElementOf0(sK44(X5,X6,sdtbsmnsldt0(xA,xB)),xB)
| ~ aInteger0(sK44(X5,X6,sdtbsmnsldt0(xA,xB))) )
| ~ spl45_20
| ~ spl45_218 ),
inference(resolution,[],[f2373,f578]) ).
fof(f4000,plain,
( spl45_346
| ~ spl45_19
| ~ spl45_218 ),
inference(avatar_split_clause,[],[f2415,f2372,f573,f3998]) ).
fof(f3998,plain,
( spl45_346
<=> ! [X7,X8] :
( ~ aElementOf0(sK44(X7,X8,sdtbsmnsldt0(xA,xB)),X7)
| ~ aInteger0(sK44(X7,X8,sdtbsmnsldt0(xA,xB)))
| sP23(X7,X8,sdtbsmnsldt0(xA,xB))
| ~ aElementOf0(sK44(X7,X8,sdtbsmnsldt0(xA,xB)),xA) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_346])]) ).
fof(f2415,plain,
( ! [X8,X7] :
( ~ aElementOf0(sK44(X7,X8,sdtbsmnsldt0(xA,xB)),X7)
| ~ aInteger0(sK44(X7,X8,sdtbsmnsldt0(xA,xB)))
| sP23(X7,X8,sdtbsmnsldt0(xA,xB))
| ~ aElementOf0(sK44(X7,X8,sdtbsmnsldt0(xA,xB)),xA) )
| ~ spl45_19
| ~ spl45_218 ),
inference(duplicate_literal_removal,[],[f2400]) ).
fof(f2400,plain,
( ! [X8,X7] :
( ~ aElementOf0(sK44(X7,X8,sdtbsmnsldt0(xA,xB)),X7)
| ~ aInteger0(sK44(X7,X8,sdtbsmnsldt0(xA,xB)))
| sP23(X7,X8,sdtbsmnsldt0(xA,xB))
| ~ aElementOf0(sK44(X7,X8,sdtbsmnsldt0(xA,xB)),xA)
| ~ aInteger0(sK44(X7,X8,sdtbsmnsldt0(xA,xB))) )
| ~ spl45_19
| ~ spl45_218 ),
inference(resolution,[],[f2373,f574]) ).
fof(f3995,plain,
( spl45_345
| ~ spl45_20
| ~ spl45_217 ),
inference(avatar_split_clause,[],[f2394,f2367,f577,f3993]) ).
fof(f3993,plain,
( spl45_345
<=> ! [X6,X5] :
( ~ aElementOf0(sK44(X5,X6,sdtbsmnsldt0(xA,xB)),X6)
| ~ aInteger0(sK44(X5,X6,sdtbsmnsldt0(xA,xB)))
| sP23(X5,X6,sdtbsmnsldt0(xA,xB))
| ~ aElementOf0(sK44(X5,X6,sdtbsmnsldt0(xA,xB)),xB) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_345])]) ).
fof(f2394,plain,
( ! [X6,X5] :
( ~ aElementOf0(sK44(X5,X6,sdtbsmnsldt0(xA,xB)),X6)
| ~ aInteger0(sK44(X5,X6,sdtbsmnsldt0(xA,xB)))
| sP23(X5,X6,sdtbsmnsldt0(xA,xB))
| ~ aElementOf0(sK44(X5,X6,sdtbsmnsldt0(xA,xB)),xB) )
| ~ spl45_20
| ~ spl45_217 ),
inference(duplicate_literal_removal,[],[f2377]) ).
fof(f2377,plain,
( ! [X6,X5] :
( ~ aElementOf0(sK44(X5,X6,sdtbsmnsldt0(xA,xB)),X6)
| ~ aInteger0(sK44(X5,X6,sdtbsmnsldt0(xA,xB)))
| sP23(X5,X6,sdtbsmnsldt0(xA,xB))
| ~ aElementOf0(sK44(X5,X6,sdtbsmnsldt0(xA,xB)),xB)
| ~ aInteger0(sK44(X5,X6,sdtbsmnsldt0(xA,xB))) )
| ~ spl45_20
| ~ spl45_217 ),
inference(resolution,[],[f2368,f578]) ).
fof(f3991,plain,
( spl45_344
| ~ spl45_19
| ~ spl45_217 ),
inference(avatar_split_clause,[],[f2393,f2367,f573,f3989]) ).
fof(f3989,plain,
( spl45_344
<=> ! [X8,X7] :
( ~ aElementOf0(sK44(X7,X8,sdtbsmnsldt0(xA,xB)),X8)
| ~ aInteger0(sK44(X7,X8,sdtbsmnsldt0(xA,xB)))
| sP23(X7,X8,sdtbsmnsldt0(xA,xB))
| ~ aElementOf0(sK44(X7,X8,sdtbsmnsldt0(xA,xB)),xA) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_344])]) ).
fof(f2393,plain,
( ! [X8,X7] :
( ~ aElementOf0(sK44(X7,X8,sdtbsmnsldt0(xA,xB)),X8)
| ~ aInteger0(sK44(X7,X8,sdtbsmnsldt0(xA,xB)))
| sP23(X7,X8,sdtbsmnsldt0(xA,xB))
| ~ aElementOf0(sK44(X7,X8,sdtbsmnsldt0(xA,xB)),xA) )
| ~ spl45_19
| ~ spl45_217 ),
inference(duplicate_literal_removal,[],[f2378]) ).
fof(f2378,plain,
( ! [X8,X7] :
( ~ aElementOf0(sK44(X7,X8,sdtbsmnsldt0(xA,xB)),X8)
| ~ aInteger0(sK44(X7,X8,sdtbsmnsldt0(xA,xB)))
| sP23(X7,X8,sdtbsmnsldt0(xA,xB))
| ~ aElementOf0(sK44(X7,X8,sdtbsmnsldt0(xA,xB)),xA)
| ~ aInteger0(sK44(X7,X8,sdtbsmnsldt0(xA,xB))) )
| ~ spl45_19
| ~ spl45_217 ),
inference(resolution,[],[f2368,f574]) ).
fof(f3985,plain,
( ~ spl45_1
| spl45_343
| ~ spl45_20
| ~ spl45_206 ),
inference(avatar_split_clause,[],[f2239,f2192,f577,f3983,f487]) ).
fof(f3983,plain,
( spl45_343
<=> ! [X3] :
( aElementOf0(sK36(X3,sdtbsmnsldt0(xA,xB)),X3)
| ~ aElementOf0(sK36(X3,sdtbsmnsldt0(xA,xB)),xB)
| sP16(X3,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(sK36(X3,sdtbsmnsldt0(xA,xB))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_343])]) ).
fof(f2239,plain,
( ! [X3] :
( aElementOf0(sK36(X3,sdtbsmnsldt0(xA,xB)),X3)
| ~ aInteger0(sK36(X3,sdtbsmnsldt0(xA,xB)))
| sP16(X3,sdtbsmnsldt0(xA,xB))
| ~ aSet0(sdtbsmnsldt0(xA,xB))
| ~ aElementOf0(sK36(X3,sdtbsmnsldt0(xA,xB)),xB) )
| ~ spl45_20
| ~ spl45_206 ),
inference(duplicate_literal_removal,[],[f2222]) ).
fof(f2222,plain,
( ! [X3] :
( aElementOf0(sK36(X3,sdtbsmnsldt0(xA,xB)),X3)
| ~ aInteger0(sK36(X3,sdtbsmnsldt0(xA,xB)))
| sP16(X3,sdtbsmnsldt0(xA,xB))
| ~ aSet0(sdtbsmnsldt0(xA,xB))
| ~ aElementOf0(sK36(X3,sdtbsmnsldt0(xA,xB)),xB)
| ~ aInteger0(sK36(X3,sdtbsmnsldt0(xA,xB))) )
| ~ spl45_20
| ~ spl45_206 ),
inference(resolution,[],[f2193,f578]) ).
fof(f3979,plain,
( ~ spl45_1
| spl45_342
| ~ spl45_19
| ~ spl45_206 ),
inference(avatar_split_clause,[],[f2238,f2192,f573,f3977,f487]) ).
fof(f3977,plain,
( spl45_342
<=> ! [X4] :
( aElementOf0(sK36(X4,sdtbsmnsldt0(xA,xB)),X4)
| ~ aElementOf0(sK36(X4,sdtbsmnsldt0(xA,xB)),xA)
| sP16(X4,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(sK36(X4,sdtbsmnsldt0(xA,xB))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_342])]) ).
fof(f2238,plain,
( ! [X4] :
( aElementOf0(sK36(X4,sdtbsmnsldt0(xA,xB)),X4)
| ~ aInteger0(sK36(X4,sdtbsmnsldt0(xA,xB)))
| sP16(X4,sdtbsmnsldt0(xA,xB))
| ~ aSet0(sdtbsmnsldt0(xA,xB))
| ~ aElementOf0(sK36(X4,sdtbsmnsldt0(xA,xB)),xA) )
| ~ spl45_19
| ~ spl45_206 ),
inference(duplicate_literal_removal,[],[f2223]) ).
fof(f2223,plain,
( ! [X4] :
( aElementOf0(sK36(X4,sdtbsmnsldt0(xA,xB)),X4)
| ~ aInteger0(sK36(X4,sdtbsmnsldt0(xA,xB)))
| sP16(X4,sdtbsmnsldt0(xA,xB))
| ~ aSet0(sdtbsmnsldt0(xA,xB))
| ~ aElementOf0(sK36(X4,sdtbsmnsldt0(xA,xB)),xA)
| ~ aInteger0(sK36(X4,sdtbsmnsldt0(xA,xB))) )
| ~ spl45_19
| ~ spl45_206 ),
inference(resolution,[],[f2193,f574]) ).
fof(f3943,plain,
( spl45_341
| ~ spl45_16
| ~ spl45_316 ),
inference(avatar_split_clause,[],[f3843,f3690,f559,f3940]) ).
fof(f3940,plain,
( spl45_341
<=> sdtpldt0(sz10,sK26) = sdtpldt0(sK26,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_341])]) ).
fof(f3690,plain,
( spl45_316
<=> ! [X14] :
( sdtpldt0(X14,sK26) = sdtpldt0(sK26,X14)
| ~ aInteger0(X14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_316])]) ).
fof(f3843,plain,
( sdtpldt0(sz10,sK26) = sdtpldt0(sK26,sz10)
| ~ spl45_16
| ~ spl45_316 ),
inference(resolution,[],[f3691,f561]) ).
fof(f3691,plain,
( ! [X14] :
( ~ aInteger0(X14)
| sdtpldt0(X14,sK26) = sdtpldt0(sK26,X14) )
| ~ spl45_316 ),
inference(avatar_component_clause,[],[f3690]) ).
fof(f3937,plain,
( ~ spl45_16
| spl45_340
| ~ spl45_123 ),
inference(avatar_split_clause,[],[f1275,f1252,f3935,f559]) ).
fof(f3935,plain,
( spl45_340
<=> ! [X0] :
( ~ isPrime0(X0)
| ~ aDivisorOf0(X0,sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_340])]) ).
fof(f1252,plain,
( spl45_123
<=> ! [X2,X0] :
( sz10 != X0
| ~ isPrime0(X2)
| ~ aDivisorOf0(X2,X0)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_123])]) ).
fof(f1275,plain,
( ! [X0] :
( ~ isPrime0(X0)
| ~ aDivisorOf0(X0,sz10)
| ~ aInteger0(sz10) )
| ~ spl45_123 ),
inference(equality_resolution,[],[f1253]) ).
fof(f1253,plain,
( ! [X2,X0] :
( sz10 != X0
| ~ isPrime0(X2)
| ~ aDivisorOf0(X2,X0)
| ~ aInteger0(X0) )
| ~ spl45_123 ),
inference(avatar_component_clause,[],[f1252]) ).
fof(f3933,plain,
( spl45_339
| ~ spl45_16
| ~ spl45_106 ),
inference(avatar_split_clause,[],[f1175,f1088,f559,f3930]) ).
fof(f3930,plain,
( spl45_339
<=> smndt0(sz10) = sdtasdt0(sz10,smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_339])]) ).
fof(f1175,plain,
( smndt0(sz10) = sdtasdt0(sz10,smndt0(sz10))
| ~ spl45_16
| ~ spl45_106 ),
inference(resolution,[],[f1089,f561]) ).
fof(f3928,plain,
( spl45_338
| ~ spl45_17
| ~ spl45_106 ),
inference(avatar_split_clause,[],[f1174,f1088,f564,f3925]) ).
fof(f3925,plain,
( spl45_338
<=> smndt0(sz00) = sdtasdt0(sz00,smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_338])]) ).
fof(f1174,plain,
( smndt0(sz00) = sdtasdt0(sz00,smndt0(sz10))
| ~ spl45_17
| ~ spl45_106 ),
inference(resolution,[],[f1089,f566]) ).
fof(f3923,plain,
( spl45_337
| ~ spl45_16
| ~ spl45_105 ),
inference(avatar_split_clause,[],[f1163,f1084,f559,f3920]) ).
fof(f3920,plain,
( spl45_337
<=> smndt0(sz10) = sdtasdt0(smndt0(sz10),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_337])]) ).
fof(f1163,plain,
( smndt0(sz10) = sdtasdt0(smndt0(sz10),sz10)
| ~ spl45_16
| ~ spl45_105 ),
inference(resolution,[],[f1085,f561]) ).
fof(f3918,plain,
( spl45_336
| ~ spl45_17
| ~ spl45_105 ),
inference(avatar_split_clause,[],[f1162,f1084,f564,f3915]) ).
fof(f3915,plain,
( spl45_336
<=> smndt0(sz00) = sdtasdt0(smndt0(sz10),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_336])]) ).
fof(f1162,plain,
( smndt0(sz00) = sdtasdt0(smndt0(sz10),sz00)
| ~ spl45_17
| ~ spl45_105 ),
inference(resolution,[],[f1085,f566]) ).
fof(f3913,plain,
( spl45_335
| ~ spl45_34
| ~ spl45_78 ),
inference(avatar_split_clause,[],[f915,f862,f651,f3911]) ).
fof(f3911,plain,
( spl45_335
<=> ! [X0,X1] :
( ~ sP12(X0,X1)
| sP13(sK32(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_335])]) ).
fof(f915,plain,
( ! [X0,X1] :
( ~ sP12(X0,X1)
| sP13(sK32(X0,X1)) )
| ~ spl45_34
| ~ spl45_78 ),
inference(resolution,[],[f863,f652]) ).
fof(f3820,plain,
( spl45_334
| ~ spl45_36
| ~ spl45_151 ),
inference(avatar_split_clause,[],[f1519,f1417,f663,f3818]) ).
fof(f3818,plain,
( spl45_334
<=> ! [X0] :
( aInteger0(sK37(X0,cS1395))
| sP18(X0,cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_334])]) ).
fof(f1519,plain,
( ! [X0] :
( aInteger0(sK37(X0,cS1395))
| sP18(X0,cS1395) )
| ~ spl45_36
| ~ spl45_151 ),
inference(duplicate_literal_removal,[],[f1490]) ).
fof(f1490,plain,
( ! [X0] :
( aInteger0(sK37(X0,cS1395))
| sP18(X0,cS1395)
| aInteger0(sK37(X0,cS1395)) )
| ~ spl45_36
| ~ spl45_151 ),
inference(resolution,[],[f1418,f664]) ).
fof(f3816,plain,
( spl45_333
| ~ spl45_51
| ~ spl45_99 ),
inference(avatar_split_clause,[],[f1061,f1052,f736,f3814]) ).
fof(f3814,plain,
( spl45_333
<=> ! [X2] :
( aElementOf0(X2,xB)
| ~ aInteger0(X2)
| sP11(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_333])]) ).
fof(f1052,plain,
( spl45_99
<=> ! [X1] :
( aElementOf0(X1,stldt0(xB))
| aElementOf0(X1,xB)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_99])]) ).
fof(f1061,plain,
( ! [X2] :
( aElementOf0(X2,xB)
| ~ aInteger0(X2)
| sP11(X2) )
| ~ spl45_51
| ~ spl45_99 ),
inference(resolution,[],[f1053,f737]) ).
fof(f1053,plain,
( ! [X1] :
( aElementOf0(X1,stldt0(xB))
| aElementOf0(X1,xB)
| ~ aInteger0(X1) )
| ~ spl45_99 ),
inference(avatar_component_clause,[],[f1052]) ).
fof(f3812,plain,
( spl45_332
| ~ spl45_49
| ~ spl45_97 ),
inference(avatar_split_clause,[],[f1057,f1043,f728,f3810]) ).
fof(f3810,plain,
( spl45_332
<=> ! [X2] :
( aElementOf0(X2,xA)
| ~ aInteger0(X2)
| sP7(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_332])]) ).
fof(f1043,plain,
( spl45_97
<=> ! [X3] :
( aElementOf0(X3,stldt0(xA))
| aElementOf0(X3,xA)
| ~ aInteger0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_97])]) ).
fof(f1057,plain,
( ! [X2] :
( aElementOf0(X2,xA)
| ~ aInteger0(X2)
| sP7(X2) )
| ~ spl45_49
| ~ spl45_97 ),
inference(resolution,[],[f1044,f729]) ).
fof(f1044,plain,
( ! [X3] :
( aElementOf0(X3,stldt0(xA))
| aElementOf0(X3,xA)
| ~ aInteger0(X3) )
| ~ spl45_97 ),
inference(avatar_component_clause,[],[f1043]) ).
fof(f3790,plain,
( spl45_330
| ~ spl45_11
| spl45_331
| ~ spl45_36
| ~ spl45_92 ),
inference(avatar_split_clause,[],[f1009,f968,f663,f3787,f534,f3783]) ).
fof(f3783,plain,
( spl45_330
<=> aInteger0(sK40(cS1395)) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_330])]) ).
fof(f3787,plain,
( spl45_331
<=> sP19(cS1395) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_331])]) ).
fof(f1009,plain,
( sP19(cS1395)
| ~ aSet0(cS1395)
| aInteger0(sK40(cS1395))
| ~ spl45_36
| ~ spl45_92 ),
inference(resolution,[],[f969,f664]) ).
fof(f3781,plain,
( spl45_328
| ~ spl45_329
| ~ spl45_33
| ~ spl45_86 ),
inference(avatar_split_clause,[],[f1005,f943,f646,f3778,f3774]) ).
fof(f3774,plain,
( spl45_328
<=> isOpen0(stldt0(stldt0(xB))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_328])]) ).
fof(f3778,plain,
( spl45_329
<=> isClosed0(stldt0(xB)) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_329])]) ).
fof(f943,plain,
( spl45_86
<=> ! [X0] :
( isOpen0(stldt0(X0))
| ~ isClosed0(X0)
| ~ aSubsetOf0(X0,cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_86])]) ).
fof(f1005,plain,
( ~ isClosed0(stldt0(xB))
| isOpen0(stldt0(stldt0(xB)))
| ~ spl45_33
| ~ spl45_86 ),
inference(resolution,[],[f944,f648]) ).
fof(f648,plain,
( aSubsetOf0(stldt0(xB),cS1395)
| ~ spl45_33 ),
inference(avatar_component_clause,[],[f646]) ).
fof(f944,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,cS1395)
| ~ isClosed0(X0)
| isOpen0(stldt0(X0)) )
| ~ spl45_86 ),
inference(avatar_component_clause,[],[f943]) ).
fof(f3744,plain,
( spl45_326
| ~ spl45_327
| ~ spl45_32
| ~ spl45_86 ),
inference(avatar_split_clause,[],[f1004,f943,f641,f3741,f3737]) ).
fof(f3737,plain,
( spl45_326
<=> isOpen0(stldt0(stldt0(xA))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_326])]) ).
fof(f3741,plain,
( spl45_327
<=> isClosed0(stldt0(xA)) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_327])]) ).
fof(f1004,plain,
( ~ isClosed0(stldt0(xA))
| isOpen0(stldt0(stldt0(xA)))
| ~ spl45_32
| ~ spl45_86 ),
inference(resolution,[],[f944,f643]) ).
fof(f643,plain,
( aSubsetOf0(stldt0(xA),cS1395)
| ~ spl45_32 ),
inference(avatar_component_clause,[],[f641]) ).
fof(f3734,plain,
( ~ spl45_324
| spl45_325
| ~ spl45_234
| ~ spl45_5
| ~ spl45_31
| ~ spl45_150 ),
inference(avatar_split_clause,[],[f1484,f1413,f635,f507,f2633,f3731,f3727]) ).
fof(f3727,plain,
( spl45_324
<=> aInteger0(sK35(stldt0(sdtbsmnsldt0(xA,xB)),sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_324])]) ).
fof(f3731,plain,
( spl45_325
<=> sz00 = sK35(stldt0(sdtbsmnsldt0(xA,xB)),sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_325])]) ).
fof(f2633,plain,
( spl45_234
<=> sP14(stldt0(sdtbsmnsldt0(xA,xB))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_234])]) ).
fof(f507,plain,
( spl45_5
<=> aElementOf0(sK26,stldt0(sdtbsmnsldt0(xA,xB))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_5])]) ).
fof(f635,plain,
( spl45_31
<=> ! [X1] :
( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sK26,X1),stldt0(sdtbsmnsldt0(xA,xB)))
| sz00 = X1
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_31])]) ).
fof(f1484,plain,
( ~ aElementOf0(sK26,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ sP14(stldt0(sdtbsmnsldt0(xA,xB)))
| sz00 = sK35(stldt0(sdtbsmnsldt0(xA,xB)),sK26)
| ~ aInteger0(sK35(stldt0(sdtbsmnsldt0(xA,xB)),sK26))
| ~ spl45_31
| ~ spl45_150 ),
inference(resolution,[],[f1414,f636]) ).
fof(f636,plain,
( ! [X1] :
( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sK26,X1),stldt0(sdtbsmnsldt0(xA,xB)))
| sz00 = X1
| ~ aInteger0(X1) )
| ~ spl45_31 ),
inference(avatar_component_clause,[],[f635]) ).
fof(f3725,plain,
( spl45_323
| ~ spl45_72
| ~ spl45_233 ),
inference(avatar_split_clause,[],[f2638,f2629,f838,f3722]) ).
fof(f3722,plain,
( spl45_323
<=> sz00 = sdtasdt0(sK34(stldt0(sdtbsmnsldt0(xA,xB))),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_323])]) ).
fof(f2629,plain,
( spl45_233
<=> aInteger0(sK34(stldt0(sdtbsmnsldt0(xA,xB)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_233])]) ).
fof(f2638,plain,
( sz00 = sdtasdt0(sK34(stldt0(sdtbsmnsldt0(xA,xB))),sz00)
| ~ spl45_72
| ~ spl45_233 ),
inference(resolution,[],[f2631,f839]) ).
fof(f2631,plain,
( aInteger0(sK34(stldt0(sdtbsmnsldt0(xA,xB))))
| ~ spl45_233 ),
inference(avatar_component_clause,[],[f2629]) ).
fof(f3720,plain,
( spl45_322
| spl45_321
| ~ spl45_50
| ~ spl45_59 ),
inference(avatar_split_clause,[],[f789,f768,f732,f3712,f3717]) ).
fof(f3717,plain,
( spl45_322
<=> aInteger0(sK34(stldt0(xB))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_322])]) ).
fof(f3712,plain,
( spl45_321
<=> sP14(stldt0(xB)) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_321])]) ).
fof(f789,plain,
( sP14(stldt0(xB))
| aInteger0(sK34(stldt0(xB)))
| ~ spl45_50
| ~ spl45_59 ),
inference(resolution,[],[f769,f733]) ).
fof(f3715,plain,
( spl45_320
| spl45_321
| ~ spl45_51
| ~ spl45_59 ),
inference(avatar_split_clause,[],[f788,f768,f736,f3712,f3708]) ).
fof(f3708,plain,
( spl45_320
<=> sP11(sK34(stldt0(xB))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_320])]) ).
fof(f788,plain,
( sP14(stldt0(xB))
| sP11(sK34(stldt0(xB)))
| ~ spl45_51
| ~ spl45_59 ),
inference(resolution,[],[f769,f737]) ).
fof(f3706,plain,
( spl45_319
| spl45_318
| ~ spl45_48
| ~ spl45_59 ),
inference(avatar_split_clause,[],[f787,f768,f724,f3698,f3703]) ).
fof(f3703,plain,
( spl45_319
<=> aInteger0(sK34(stldt0(xA))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_319])]) ).
fof(f3698,plain,
( spl45_318
<=> sP14(stldt0(xA)) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_318])]) ).
fof(f787,plain,
( sP14(stldt0(xA))
| aInteger0(sK34(stldt0(xA)))
| ~ spl45_48
| ~ spl45_59 ),
inference(resolution,[],[f769,f725]) ).
fof(f3701,plain,
( spl45_317
| spl45_318
| ~ spl45_49
| ~ spl45_59 ),
inference(avatar_split_clause,[],[f786,f768,f728,f3698,f3694]) ).
fof(f3694,plain,
( spl45_317
<=> sP7(sK34(stldt0(xA))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_317])]) ).
fof(f786,plain,
( sP14(stldt0(xA))
| sP7(sK34(stldt0(xA)))
| ~ spl45_49
| ~ spl45_59 ),
inference(resolution,[],[f769,f729]) ).
fof(f3692,plain,
( spl45_316
| ~ spl45_15
| ~ spl45_143 ),
inference(avatar_split_clause,[],[f1385,f1338,f554,f3690]) ).
fof(f1385,plain,
( ! [X14] :
( sdtpldt0(X14,sK26) = sdtpldt0(sK26,X14)
| ~ aInteger0(X14) )
| ~ spl45_15
| ~ spl45_143 ),
inference(resolution,[],[f1339,f556]) ).
fof(f3650,plain,
( spl45_315
| ~ spl45_22
| ~ spl45_198 ),
inference(avatar_split_clause,[],[f2074,f1969,f587,f3648]) ).
fof(f3648,plain,
( spl45_315
<=> ! [X11,X10] :
( aElementOf0(sK43(stldt0(sdtbsmnsldt0(xA,xB)),X10,X11),X11)
| sP22(stldt0(sdtbsmnsldt0(xA,xB)),X10,X11)
| ~ aElementOf0(sK43(stldt0(sdtbsmnsldt0(xA,xB)),X10,X11),sdtbsmnsldt0(xA,xB)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_315])]) ).
fof(f2074,plain,
( ! [X10,X11] :
( aElementOf0(sK43(stldt0(sdtbsmnsldt0(xA,xB)),X10,X11),X11)
| sP22(stldt0(sdtbsmnsldt0(xA,xB)),X10,X11)
| ~ aElementOf0(sK43(stldt0(sdtbsmnsldt0(xA,xB)),X10,X11),sdtbsmnsldt0(xA,xB)) )
| ~ spl45_22
| ~ spl45_198 ),
inference(resolution,[],[f1970,f588]) ).
fof(f3646,plain,
( spl45_314
| ~ spl45_22
| ~ spl45_198 ),
inference(avatar_split_clause,[],[f2046,f1969,f587,f3644]) ).
fof(f3644,plain,
( spl45_314
<=> ! [X11,X10] :
( aElementOf0(sK43(X10,X11,stldt0(sdtbsmnsldt0(xA,xB))),X10)
| sP22(X10,X11,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aElementOf0(sK43(X10,X11,stldt0(sdtbsmnsldt0(xA,xB))),sdtbsmnsldt0(xA,xB)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_314])]) ).
fof(f2046,plain,
( ! [X10,X11] :
( aElementOf0(sK43(X10,X11,stldt0(sdtbsmnsldt0(xA,xB))),X10)
| sP22(X10,X11,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aElementOf0(sK43(X10,X11,stldt0(sdtbsmnsldt0(xA,xB))),sdtbsmnsldt0(xA,xB)) )
| ~ spl45_22
| ~ spl45_198 ),
inference(resolution,[],[f1970,f588]) ).
fof(f3642,plain,
( spl45_313
| ~ spl45_22
| ~ spl45_197 ),
inference(avatar_split_clause,[],[f2017,f1965,f587,f3640]) ).
fof(f3640,plain,
( spl45_313
<=> ! [X11,X10] :
( aElementOf0(sK43(X10,stldt0(sdtbsmnsldt0(xA,xB)),X11),X11)
| sP22(X10,stldt0(sdtbsmnsldt0(xA,xB)),X11)
| ~ aElementOf0(sK43(X10,stldt0(sdtbsmnsldt0(xA,xB)),X11),sdtbsmnsldt0(xA,xB)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_313])]) ).
fof(f2017,plain,
( ! [X10,X11] :
( aElementOf0(sK43(X10,stldt0(sdtbsmnsldt0(xA,xB)),X11),X11)
| sP22(X10,stldt0(sdtbsmnsldt0(xA,xB)),X11)
| ~ aElementOf0(sK43(X10,stldt0(sdtbsmnsldt0(xA,xB)),X11),sdtbsmnsldt0(xA,xB)) )
| ~ spl45_22
| ~ spl45_197 ),
inference(resolution,[],[f1966,f588]) ).
fof(f3638,plain,
( spl45_312
| ~ spl45_22
| ~ spl45_197 ),
inference(avatar_split_clause,[],[f1989,f1965,f587,f3636]) ).
fof(f3636,plain,
( spl45_312
<=> ! [X11,X10] :
( aElementOf0(sK43(X10,X11,stldt0(sdtbsmnsldt0(xA,xB))),X11)
| sP22(X10,X11,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aElementOf0(sK43(X10,X11,stldt0(sdtbsmnsldt0(xA,xB))),sdtbsmnsldt0(xA,xB)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_312])]) ).
fof(f1989,plain,
( ! [X10,X11] :
( aElementOf0(sK43(X10,X11,stldt0(sdtbsmnsldt0(xA,xB))),X11)
| sP22(X10,X11,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aElementOf0(sK43(X10,X11,stldt0(sdtbsmnsldt0(xA,xB))),sdtbsmnsldt0(xA,xB)) )
| ~ spl45_22
| ~ spl45_197 ),
inference(resolution,[],[f1966,f588]) ).
fof(f3634,plain,
( spl45_311
| ~ spl45_15
| ~ spl45_142 ),
inference(avatar_split_clause,[],[f1372,f1334,f554,f3632]) ).
fof(f1372,plain,
( ! [X14] :
( sdtasdt0(X14,sK26) = sdtasdt0(sK26,X14)
| ~ aInteger0(X14) )
| ~ spl45_15
| ~ spl45_142 ),
inference(resolution,[],[f1335,f556]) ).
fof(f3630,plain,
( spl45_310
| ~ spl45_19
| ~ spl45_185 ),
inference(avatar_split_clause,[],[f1852,f1809,f573,f3628]) ).
fof(f3628,plain,
( spl45_310
<=> ! [X3] :
( sP16(sdtbsmnsldt0(xA,xB),X3)
| aElementOf0(sK36(sdtbsmnsldt0(xA,xB),X3),X3)
| ~ aSet0(X3)
| ~ aElementOf0(sK36(sdtbsmnsldt0(xA,xB),X3),xA)
| ~ aInteger0(sK36(sdtbsmnsldt0(xA,xB),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_310])]) ).
fof(f1852,plain,
( ! [X3] :
( sP16(sdtbsmnsldt0(xA,xB),X3)
| aElementOf0(sK36(sdtbsmnsldt0(xA,xB),X3),X3)
| ~ aSet0(X3)
| ~ aElementOf0(sK36(sdtbsmnsldt0(xA,xB),X3),xA)
| ~ aInteger0(sK36(sdtbsmnsldt0(xA,xB),X3)) )
| ~ spl45_19
| ~ spl45_185 ),
inference(resolution,[],[f1810,f574]) ).
fof(f3626,plain,
( spl45_309
| ~ spl45_20
| ~ spl45_185 ),
inference(avatar_split_clause,[],[f1851,f1809,f577,f3624]) ).
fof(f3624,plain,
( spl45_309
<=> ! [X2] :
( sP16(sdtbsmnsldt0(xA,xB),X2)
| aElementOf0(sK36(sdtbsmnsldt0(xA,xB),X2),X2)
| ~ aSet0(X2)
| ~ aElementOf0(sK36(sdtbsmnsldt0(xA,xB),X2),xB)
| ~ aInteger0(sK36(sdtbsmnsldt0(xA,xB),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_309])]) ).
fof(f1851,plain,
( ! [X2] :
( sP16(sdtbsmnsldt0(xA,xB),X2)
| aElementOf0(sK36(sdtbsmnsldt0(xA,xB),X2),X2)
| ~ aSet0(X2)
| ~ aElementOf0(sK36(sdtbsmnsldt0(xA,xB),X2),xB)
| ~ aInteger0(sK36(sdtbsmnsldt0(xA,xB),X2)) )
| ~ spl45_20
| ~ spl45_185 ),
inference(resolution,[],[f1810,f578]) ).
fof(f3553,plain,
( spl45_308
| ~ spl45_21
| ~ spl45_166 ),
inference(avatar_split_clause,[],[f1651,f1558,f583,f3551]) ).
fof(f3551,plain,
( spl45_308
<=> ! [X1] :
( aElementOf0(sK38(X1,sdtbsmnsldt0(xA,xB)),X1)
| sP18(X1,sdtbsmnsldt0(xA,xB))
| aElementOf0(sK37(X1,sdtbsmnsldt0(xA,xB)),xA)
| aElementOf0(sK37(X1,sdtbsmnsldt0(xA,xB)),xB) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_308])]) ).
fof(f1651,plain,
( ! [X1] :
( aElementOf0(sK38(X1,sdtbsmnsldt0(xA,xB)),X1)
| sP18(X1,sdtbsmnsldt0(xA,xB))
| aElementOf0(sK37(X1,sdtbsmnsldt0(xA,xB)),xA)
| aElementOf0(sK37(X1,sdtbsmnsldt0(xA,xB)),xB) )
| ~ spl45_21
| ~ spl45_166 ),
inference(resolution,[],[f1559,f584]) ).
fof(f3549,plain,
( spl45_307
| ~ spl45_21
| ~ spl45_166 ),
inference(avatar_split_clause,[],[f1623,f1558,f583,f3547]) ).
fof(f3547,plain,
( spl45_307
<=> ! [X1] :
( aElementOf0(sK37(sdtbsmnsldt0(xA,xB),X1),X1)
| sP18(sdtbsmnsldt0(xA,xB),X1)
| aElementOf0(sK38(sdtbsmnsldt0(xA,xB),X1),xA)
| aElementOf0(sK38(sdtbsmnsldt0(xA,xB),X1),xB) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_307])]) ).
fof(f1623,plain,
( ! [X1] :
( aElementOf0(sK37(sdtbsmnsldt0(xA,xB),X1),X1)
| sP18(sdtbsmnsldt0(xA,xB),X1)
| aElementOf0(sK38(sdtbsmnsldt0(xA,xB),X1),xA)
| aElementOf0(sK38(sdtbsmnsldt0(xA,xB),X1),xB) )
| ~ spl45_21
| ~ spl45_166 ),
inference(resolution,[],[f1559,f584]) ).
fof(f3533,plain,
( spl45_306
| ~ spl45_30
| ~ spl45_216 ),
inference(avatar_split_clause,[],[f2358,f2334,f631,f3531]) ).
fof(f3531,plain,
( spl45_306
<=> ! [X14,X15] :
( sP18(X14,X15)
| ~ aElementOf0(stldt0(sdtbsmnsldt0(xA,xB)),X14)
| ~ aInteger0(sK37(X14,X15))
| ~ aElementOf0(sK37(X14,X15),X15)
| aElementOf0(sK37(X14,X15),sdtbsmnsldt0(xA,xB)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_306])]) ).
fof(f2358,plain,
( ! [X14,X15] :
( sP18(X14,X15)
| ~ aElementOf0(stldt0(sdtbsmnsldt0(xA,xB)),X14)
| ~ aInteger0(sK37(X14,X15))
| ~ aElementOf0(sK37(X14,X15),X15)
| aElementOf0(sK37(X14,X15),sdtbsmnsldt0(xA,xB)) )
| ~ spl45_30
| ~ spl45_216 ),
inference(duplicate_literal_removal,[],[f2347]) ).
fof(f2347,plain,
( ! [X14,X15] :
( sP18(X14,X15)
| ~ aElementOf0(stldt0(sdtbsmnsldt0(xA,xB)),X14)
| ~ aInteger0(sK37(X14,X15))
| ~ aElementOf0(sK37(X14,X15),X15)
| aElementOf0(sK37(X14,X15),sdtbsmnsldt0(xA,xB))
| ~ aInteger0(sK37(X14,X15)) )
| ~ spl45_30
| ~ spl45_216 ),
inference(resolution,[],[f2335,f632]) ).
fof(f3524,plain,
( ~ spl45_1
| spl45_305
| ~ spl45_21
| ~ spl45_148 ),
inference(avatar_split_clause,[],[f1454,f1405,f583,f3522,f487]) ).
fof(f3522,plain,
( spl45_305
<=> ! [X1] :
( aSubsetOf0(sdtbsmnsldt0(xA,xB),X1)
| aElementOf0(sK33(X1,sdtbsmnsldt0(xA,xB)),xB)
| aElementOf0(sK33(X1,sdtbsmnsldt0(xA,xB)),xA)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_305])]) ).
fof(f1454,plain,
( ! [X1] :
( aSubsetOf0(sdtbsmnsldt0(xA,xB),X1)
| ~ aSet0(sdtbsmnsldt0(xA,xB))
| ~ aSet0(X1)
| aElementOf0(sK33(X1,sdtbsmnsldt0(xA,xB)),xA)
| aElementOf0(sK33(X1,sdtbsmnsldt0(xA,xB)),xB) )
| ~ spl45_21
| ~ spl45_148 ),
inference(resolution,[],[f1406,f584]) ).
fof(f3470,plain,
( spl45_304
| ~ spl45_112 ),
inference(avatar_split_clause,[],[f1203,f1113,f3468]) ).
fof(f3468,plain,
( spl45_304
<=> ! [X0] :
( sP18(X0,sbsmnsldt0(X0))
| ~ sP19(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_304])]) ).
fof(f1113,plain,
( spl45_112
<=> ! [X0,X1] :
( sP18(X0,X1)
| sbsmnsldt0(X0) != X1
| ~ sP19(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_112])]) ).
fof(f1203,plain,
( ! [X0] :
( sP18(X0,sbsmnsldt0(X0))
| ~ sP19(X0) )
| ~ spl45_112 ),
inference(equality_resolution,[],[f1114]) ).
fof(f1114,plain,
( ! [X0,X1] :
( sbsmnsldt0(X0) != X1
| sP18(X0,X1)
| ~ sP19(X0) )
| ~ spl45_112 ),
inference(avatar_component_clause,[],[f1113]) ).
fof(f3466,plain,
( spl45_303
| ~ spl45_109 ),
inference(avatar_split_clause,[],[f1197,f1101,f3464]) ).
fof(f3464,plain,
( spl45_303
<=> ! [X0] :
( sP16(X0,stldt0(X0))
| ~ sP17(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_303])]) ).
fof(f1101,plain,
( spl45_109
<=> ! [X0,X1] :
( sP16(X0,X1)
| stldt0(X0) != X1
| ~ sP17(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_109])]) ).
fof(f1197,plain,
( ! [X0] :
( sP16(X0,stldt0(X0))
| ~ sP17(X0) )
| ~ spl45_109 ),
inference(equality_resolution,[],[f1102]) ).
fof(f1102,plain,
( ! [X0,X1] :
( stldt0(X0) != X1
| sP16(X0,X1)
| ~ sP17(X0) )
| ~ spl45_109 ),
inference(avatar_component_clause,[],[f1101]) ).
fof(f3462,plain,
( spl45_302
| ~ spl45_16
| ~ spl45_83 ),
inference(avatar_split_clause,[],[f991,f931,f559,f3459]) ).
fof(f3459,plain,
( spl45_302
<=> sz00 = sdtpldt0(smndt0(sz10),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_302])]) ).
fof(f991,plain,
( sz00 = sdtpldt0(smndt0(sz10),sz10)
| ~ spl45_16
| ~ spl45_83 ),
inference(resolution,[],[f932,f561]) ).
fof(f3457,plain,
( spl45_301
| ~ spl45_17
| ~ spl45_83 ),
inference(avatar_split_clause,[],[f990,f931,f564,f3454]) ).
fof(f3454,plain,
( spl45_301
<=> sz00 = sdtpldt0(smndt0(sz00),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_301])]) ).
fof(f990,plain,
( sz00 = sdtpldt0(smndt0(sz00),sz00)
| ~ spl45_17
| ~ spl45_83 ),
inference(resolution,[],[f932,f566]) ).
fof(f3444,plain,
( spl45_300
| ~ spl45_16
| ~ spl45_82 ),
inference(avatar_split_clause,[],[f984,f927,f559,f3441]) ).
fof(f3441,plain,
( spl45_300
<=> sz00 = sdtpldt0(sz10,smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_300])]) ).
fof(f984,plain,
( sz00 = sdtpldt0(sz10,smndt0(sz10))
| ~ spl45_16
| ~ spl45_82 ),
inference(resolution,[],[f928,f561]) ).
fof(f3439,plain,
( spl45_299
| ~ spl45_17
| ~ spl45_82 ),
inference(avatar_split_clause,[],[f983,f927,f564,f3436]) ).
fof(f3436,plain,
( spl45_299
<=> sz00 = sdtpldt0(sz00,smndt0(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_299])]) ).
fof(f983,plain,
( sz00 = sdtpldt0(sz00,smndt0(sz00))
| ~ spl45_17
| ~ spl45_82 ),
inference(resolution,[],[f928,f566]) ).
fof(f3433,plain,
( spl45_297
| spl45_298
| ~ spl45_47
| ~ spl45_59 ),
inference(avatar_split_clause,[],[f791,f768,f720,f3430,f3426]) ).
fof(f3426,plain,
( spl45_297
<=> aElementOf0(sK34(xB),cS1395) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_297])]) ).
fof(f3430,plain,
( spl45_298
<=> sP14(xB) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_298])]) ).
fof(f791,plain,
( sP14(xB)
| aElementOf0(sK34(xB),cS1395)
| ~ spl45_47
| ~ spl45_59 ),
inference(resolution,[],[f769,f721]) ).
fof(f3423,plain,
( spl45_295
| spl45_296
| ~ spl45_46
| ~ spl45_59 ),
inference(avatar_split_clause,[],[f790,f768,f716,f3420,f3416]) ).
fof(f3416,plain,
( spl45_295
<=> aElementOf0(sK34(xA),cS1395) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_295])]) ).
fof(f3420,plain,
( spl45_296
<=> sP14(xA) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_296])]) ).
fof(f790,plain,
( sP14(xA)
| aElementOf0(sK34(xA),cS1395)
| ~ spl45_46
| ~ spl45_59 ),
inference(resolution,[],[f769,f717]) ).
fof(f3406,plain,
( spl45_294
| ~ spl45_22
| ~ spl45_166 ),
inference(avatar_split_clause,[],[f1655,f1558,f587,f3404]) ).
fof(f3404,plain,
( spl45_294
<=> ! [X5] :
( aElementOf0(sK38(X5,stldt0(sdtbsmnsldt0(xA,xB))),X5)
| sP18(X5,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aElementOf0(sK37(X5,stldt0(sdtbsmnsldt0(xA,xB))),sdtbsmnsldt0(xA,xB)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_294])]) ).
fof(f1655,plain,
( ! [X5] :
( aElementOf0(sK38(X5,stldt0(sdtbsmnsldt0(xA,xB))),X5)
| sP18(X5,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aElementOf0(sK37(X5,stldt0(sdtbsmnsldt0(xA,xB))),sdtbsmnsldt0(xA,xB)) )
| ~ spl45_22
| ~ spl45_166 ),
inference(resolution,[],[f1559,f588]) ).
fof(f3402,plain,
( spl45_293
| ~ spl45_22
| ~ spl45_166 ),
inference(avatar_split_clause,[],[f1627,f1558,f587,f3400]) ).
fof(f3400,plain,
( spl45_293
<=> ! [X5] :
( aElementOf0(sK37(stldt0(sdtbsmnsldt0(xA,xB)),X5),X5)
| sP18(stldt0(sdtbsmnsldt0(xA,xB)),X5)
| ~ aElementOf0(sK38(stldt0(sdtbsmnsldt0(xA,xB)),X5),sdtbsmnsldt0(xA,xB)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_293])]) ).
fof(f1627,plain,
( ! [X5] :
( aElementOf0(sK37(stldt0(sdtbsmnsldt0(xA,xB)),X5),X5)
| sP18(stldt0(sdtbsmnsldt0(xA,xB)),X5)
| ~ aElementOf0(sK38(stldt0(sdtbsmnsldt0(xA,xB)),X5),sdtbsmnsldt0(xA,xB)) )
| ~ spl45_22
| ~ spl45_166 ),
inference(resolution,[],[f1559,f588]) ).
fof(f3396,plain,
( ~ spl45_1
| spl45_292
| ~ spl45_19
| ~ spl45_149 ),
inference(avatar_split_clause,[],[f1477,f1409,f573,f3394,f487]) ).
fof(f3394,plain,
( spl45_292
<=> ! [X2] :
( aSubsetOf0(X2,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(sK33(sdtbsmnsldt0(xA,xB),X2))
| ~ aElementOf0(sK33(sdtbsmnsldt0(xA,xB),X2),xA)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_292])]) ).
fof(f1477,plain,
( ! [X2] :
( aSubsetOf0(X2,sdtbsmnsldt0(xA,xB))
| ~ aSet0(X2)
| ~ aSet0(sdtbsmnsldt0(xA,xB))
| ~ aElementOf0(sK33(sdtbsmnsldt0(xA,xB),X2),xA)
| ~ aInteger0(sK33(sdtbsmnsldt0(xA,xB),X2)) )
| ~ spl45_19
| ~ spl45_149 ),
inference(resolution,[],[f1410,f574]) ).
fof(f3390,plain,
( ~ spl45_1
| spl45_291
| ~ spl45_20
| ~ spl45_149 ),
inference(avatar_split_clause,[],[f1476,f1409,f577,f3388,f487]) ).
fof(f3388,plain,
( spl45_291
<=> ! [X1] :
( aSubsetOf0(X1,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(sK33(sdtbsmnsldt0(xA,xB),X1))
| ~ aElementOf0(sK33(sdtbsmnsldt0(xA,xB),X1),xB)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_291])]) ).
fof(f1476,plain,
( ! [X1] :
( aSubsetOf0(X1,sdtbsmnsldt0(xA,xB))
| ~ aSet0(X1)
| ~ aSet0(sdtbsmnsldt0(xA,xB))
| ~ aElementOf0(sK33(sdtbsmnsldt0(xA,xB),X1),xB)
| ~ aInteger0(sK33(sdtbsmnsldt0(xA,xB),X1)) )
| ~ spl45_20
| ~ spl45_149 ),
inference(resolution,[],[f1410,f578]) ).
fof(f3382,plain,
( ~ spl45_3
| spl45_290
| ~ spl45_22
| ~ spl45_148 ),
inference(avatar_split_clause,[],[f1458,f1405,f587,f3380,f497]) ).
fof(f3380,plain,
( spl45_290
<=> ! [X5] :
( aSubsetOf0(stldt0(sdtbsmnsldt0(xA,xB)),X5)
| ~ aElementOf0(sK33(X5,stldt0(sdtbsmnsldt0(xA,xB))),sdtbsmnsldt0(xA,xB))
| ~ aSet0(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_290])]) ).
fof(f1458,plain,
( ! [X5] :
( aSubsetOf0(stldt0(sdtbsmnsldt0(xA,xB)),X5)
| ~ aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aSet0(X5)
| ~ aElementOf0(sK33(X5,stldt0(sdtbsmnsldt0(xA,xB))),sdtbsmnsldt0(xA,xB)) )
| ~ spl45_22
| ~ spl45_148 ),
inference(resolution,[],[f1406,f588]) ).
fof(f3362,plain,
( spl45_289
| ~ spl45_20
| ~ spl45_216 ),
inference(avatar_split_clause,[],[f2361,f2334,f577,f3360]) ).
fof(f3360,plain,
( spl45_289
<=> ! [X9,X8] :
( sP18(X8,X9)
| ~ aElementOf0(sdtbsmnsldt0(xA,xB),X8)
| ~ aInteger0(sK37(X8,X9))
| ~ aElementOf0(sK37(X8,X9),X9)
| ~ aElementOf0(sK37(X8,X9),xB) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_289])]) ).
fof(f2361,plain,
( ! [X8,X9] :
( sP18(X8,X9)
| ~ aElementOf0(sdtbsmnsldt0(xA,xB),X8)
| ~ aInteger0(sK37(X8,X9))
| ~ aElementOf0(sK37(X8,X9),X9)
| ~ aElementOf0(sK37(X8,X9),xB) )
| ~ spl45_20
| ~ spl45_216 ),
inference(duplicate_literal_removal,[],[f2344]) ).
fof(f2344,plain,
( ! [X8,X9] :
( sP18(X8,X9)
| ~ aElementOf0(sdtbsmnsldt0(xA,xB),X8)
| ~ aInteger0(sK37(X8,X9))
| ~ aElementOf0(sK37(X8,X9),X9)
| ~ aElementOf0(sK37(X8,X9),xB)
| ~ aInteger0(sK37(X8,X9)) )
| ~ spl45_20
| ~ spl45_216 ),
inference(resolution,[],[f2335,f578]) ).
fof(f3358,plain,
( spl45_288
| ~ spl45_19
| ~ spl45_216 ),
inference(avatar_split_clause,[],[f2360,f2334,f573,f3356]) ).
fof(f3356,plain,
( spl45_288
<=> ! [X11,X10] :
( sP18(X10,X11)
| ~ aElementOf0(sdtbsmnsldt0(xA,xB),X10)
| ~ aInteger0(sK37(X10,X11))
| ~ aElementOf0(sK37(X10,X11),X11)
| ~ aElementOf0(sK37(X10,X11),xA) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_288])]) ).
fof(f2360,plain,
( ! [X10,X11] :
( sP18(X10,X11)
| ~ aElementOf0(sdtbsmnsldt0(xA,xB),X10)
| ~ aInteger0(sK37(X10,X11))
| ~ aElementOf0(sK37(X10,X11),X11)
| ~ aElementOf0(sK37(X10,X11),xA) )
| ~ spl45_19
| ~ spl45_216 ),
inference(duplicate_literal_removal,[],[f2345]) ).
fof(f2345,plain,
( ! [X10,X11] :
( sP18(X10,X11)
| ~ aElementOf0(sdtbsmnsldt0(xA,xB),X10)
| ~ aInteger0(sK37(X10,X11))
| ~ aElementOf0(sK37(X10,X11),X11)
| ~ aElementOf0(sK37(X10,X11),xA)
| ~ aInteger0(sK37(X10,X11)) )
| ~ spl45_19
| ~ spl45_216 ),
inference(resolution,[],[f2335,f574]) ).
fof(f3323,plain,
( spl45_287
| ~ spl45_7
| ~ spl45_166 ),
inference(avatar_split_clause,[],[f1628,f1558,f516,f3321]) ).
fof(f3321,plain,
( spl45_287
<=> ! [X6] :
( aElementOf0(sK37(stldt0(sdtbsmnsldt0(xA,xB)),X6),X6)
| sP18(stldt0(sdtbsmnsldt0(xA,xB)),X6)
| aInteger0(sK38(stldt0(sdtbsmnsldt0(xA,xB)),X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_287])]) ).
fof(f516,plain,
( spl45_7
<=> ! [X2] :
( aInteger0(X2)
| ~ aElementOf0(X2,stldt0(sdtbsmnsldt0(xA,xB))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_7])]) ).
fof(f1628,plain,
( ! [X6] :
( aElementOf0(sK37(stldt0(sdtbsmnsldt0(xA,xB)),X6),X6)
| sP18(stldt0(sdtbsmnsldt0(xA,xB)),X6)
| aInteger0(sK38(stldt0(sdtbsmnsldt0(xA,xB)),X6)) )
| ~ spl45_7
| ~ spl45_166 ),
inference(resolution,[],[f1559,f517]) ).
fof(f517,plain,
( ! [X2] :
( ~ aElementOf0(X2,stldt0(sdtbsmnsldt0(xA,xB)))
| aInteger0(X2) )
| ~ spl45_7 ),
inference(avatar_component_clause,[],[f516]) ).
fof(f3310,plain,
( spl45_286
| ~ spl45_34
| ~ spl45_260 ),
inference(avatar_split_clause,[],[f3012,f3004,f651,f3307]) ).
fof(f3307,plain,
( spl45_286
<=> sP13(sK41(stldt0(sdtbsmnsldt0(xA,xB)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_286])]) ).
fof(f3004,plain,
( spl45_260
<=> aInteger0(sK41(stldt0(sdtbsmnsldt0(xA,xB)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_260])]) ).
fof(f3012,plain,
( sP13(sK41(stldt0(sdtbsmnsldt0(xA,xB))))
| ~ spl45_34
| ~ spl45_260 ),
inference(resolution,[],[f3006,f652]) ).
fof(f3006,plain,
( aInteger0(sK41(stldt0(sdtbsmnsldt0(xA,xB))))
| ~ spl45_260 ),
inference(avatar_component_clause,[],[f3004]) ).
fof(f3277,plain,
( spl45_285
| ~ spl45_34
| ~ spl45_258 ),
inference(avatar_split_clause,[],[f2986,f2978,f651,f3274]) ).
fof(f3274,plain,
( spl45_285
<=> sP13(sK40(stldt0(sdtbsmnsldt0(xA,xB)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_285])]) ).
fof(f2978,plain,
( spl45_258
<=> aInteger0(sK40(stldt0(sdtbsmnsldt0(xA,xB)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_258])]) ).
fof(f2986,plain,
( sP13(sK40(stldt0(sdtbsmnsldt0(xA,xB))))
| ~ spl45_34
| ~ spl45_258 ),
inference(resolution,[],[f2980,f652]) ).
fof(f2980,plain,
( aInteger0(sK40(stldt0(sdtbsmnsldt0(xA,xB))))
| ~ spl45_258 ),
inference(avatar_component_clause,[],[f2978]) ).
fof(f3272,plain,
( spl45_284
| ~ spl45_148
| ~ spl45_149 ),
inference(avatar_split_clause,[],[f1482,f1409,f1405,f3270]) ).
fof(f3270,plain,
( spl45_284
<=> ! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_284])]) ).
fof(f1482,plain,
( ! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) )
| ~ spl45_148
| ~ spl45_149 ),
inference(duplicate_literal_removal,[],[f1475]) ).
fof(f1475,plain,
( ! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0)
| ~ aSet0(X0)
| aSubsetOf0(X0,X0)
| ~ aSet0(X0)
| ~ aSet0(X0) )
| ~ spl45_148
| ~ spl45_149 ),
inference(resolution,[],[f1410,f1406]) ).
fof(f3268,plain,
( spl45_283
| ~ spl45_90 ),
inference(avatar_split_clause,[],[f1008,f960,f3266]) ).
fof(f3266,plain,
( spl45_283
<=> ! [X0] :
( aSet0(sbsmnsldt0(X0))
| ~ sP19(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_283])]) ).
fof(f960,plain,
( spl45_90
<=> ! [X0,X1] :
( aSet0(X1)
| sbsmnsldt0(X0) != X1
| ~ sP19(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_90])]) ).
fof(f1008,plain,
( ! [X0] :
( aSet0(sbsmnsldt0(X0))
| ~ sP19(X0) )
| ~ spl45_90 ),
inference(equality_resolution,[],[f961]) ).
fof(f961,plain,
( ! [X0,X1] :
( sbsmnsldt0(X0) != X1
| aSet0(X1)
| ~ sP19(X0) )
| ~ spl45_90 ),
inference(avatar_component_clause,[],[f960]) ).
fof(f3264,plain,
( spl45_282
| ~ spl45_16
| ~ spl45_77 ),
inference(avatar_split_clause,[],[f910,f858,f559,f3261]) ).
fof(f3261,plain,
( spl45_282
<=> sz10 = sdtpldt0(sz00,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_282])]) ).
fof(f910,plain,
( sz10 = sdtpldt0(sz00,sz10)
| ~ spl45_16
| ~ spl45_77 ),
inference(resolution,[],[f859,f561]) ).
fof(f3259,plain,
( spl45_281
| ~ spl45_16
| ~ spl45_76 ),
inference(avatar_split_clause,[],[f899,f854,f559,f3256]) ).
fof(f3256,plain,
( spl45_281
<=> sz10 = sdtpldt0(sz10,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_281])]) ).
fof(f899,plain,
( sz10 = sdtpldt0(sz10,sz00)
| ~ spl45_16
| ~ spl45_76 ),
inference(resolution,[],[f855,f561]) ).
fof(f3254,plain,
( spl45_280
| ~ spl45_17
| ~ spl45_76 ),
inference(avatar_split_clause,[],[f898,f854,f564,f3251]) ).
fof(f3251,plain,
( spl45_280
<=> sz00 = sdtpldt0(sz00,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_280])]) ).
fof(f898,plain,
( sz00 = sdtpldt0(sz00,sz00)
| ~ spl45_17
| ~ spl45_76 ),
inference(resolution,[],[f855,f566]) ).
fof(f3249,plain,
( spl45_279
| ~ spl45_16
| ~ spl45_74 ),
inference(avatar_split_clause,[],[f887,f846,f559,f3246]) ).
fof(f3246,plain,
( spl45_279
<=> sz10 = sdtasdt0(sz10,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_279])]) ).
fof(f887,plain,
( sz10 = sdtasdt0(sz10,sz10)
| ~ spl45_16
| ~ spl45_74 ),
inference(resolution,[],[f847,f561]) ).
fof(f3244,plain,
( spl45_278
| ~ spl45_16
| ~ spl45_73 ),
inference(avatar_split_clause,[],[f881,f842,f559,f3241]) ).
fof(f3241,plain,
( spl45_278
<=> sz00 = sdtasdt0(sz00,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_278])]) ).
fof(f881,plain,
( sz00 = sdtasdt0(sz00,sz10)
| ~ spl45_16
| ~ spl45_73 ),
inference(resolution,[],[f843,f561]) ).
fof(f3239,plain,
( spl45_277
| ~ spl45_16
| ~ spl45_72 ),
inference(avatar_split_clause,[],[f875,f838,f559,f3236]) ).
fof(f3236,plain,
( spl45_277
<=> sz00 = sdtasdt0(sz10,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_277])]) ).
fof(f875,plain,
( sz00 = sdtasdt0(sz10,sz00)
| ~ spl45_16
| ~ spl45_72 ),
inference(resolution,[],[f839,f561]) ).
fof(f3234,plain,
( spl45_276
| ~ spl45_17
| ~ spl45_72 ),
inference(avatar_split_clause,[],[f874,f838,f564,f3231]) ).
fof(f3231,plain,
( spl45_276
<=> sz00 = sdtasdt0(sz00,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_276])]) ).
fof(f874,plain,
( sz00 = sdtasdt0(sz00,sz00)
| ~ spl45_17
| ~ spl45_72 ),
inference(resolution,[],[f839,f566]) ).
fof(f3229,plain,
( spl45_275
| ~ spl45_34
| ~ spl45_40 ),
inference(avatar_split_clause,[],[f706,f680,f651,f3227]) ).
fof(f3227,plain,
( spl45_275
<=> ! [X0] :
( ~ aInteger0(X0)
| sP13(smndt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_275])]) ).
fof(f706,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sP13(smndt0(X0)) )
| ~ spl45_34
| ~ spl45_40 ),
inference(resolution,[],[f681,f652]) ).
fof(f3225,plain,
( spl45_274
| ~ spl45_34
| ~ spl45_39 ),
inference(avatar_split_clause,[],[f705,f676,f651,f3223]) ).
fof(f3223,plain,
( spl45_274
<=> ! [X0] :
( ~ sP7(X0)
| sP13(sK29(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_274])]) ).
fof(f705,plain,
( ! [X0] :
( ~ sP7(X0)
| sP13(sK29(X0)) )
| ~ spl45_34
| ~ spl45_39 ),
inference(resolution,[],[f677,f652]) ).
fof(f3221,plain,
( spl45_273
| ~ spl45_34
| ~ spl45_38 ),
inference(avatar_split_clause,[],[f704,f672,f651,f3219]) ).
fof(f3219,plain,
( spl45_273
<=> ! [X0] :
( ~ sP11(X0)
| sP13(sK27(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_273])]) ).
fof(f704,plain,
( ! [X0] :
( ~ sP11(X0)
| sP13(sK27(X0)) )
| ~ spl45_34
| ~ spl45_38 ),
inference(resolution,[],[f673,f652]) ).
fof(f3200,plain,
( spl45_271
| spl45_272
| ~ spl45_36
| ~ spl45_59 ),
inference(avatar_split_clause,[],[f781,f768,f663,f3197,f3193]) ).
fof(f781,plain,
( sP14(cS1395)
| aInteger0(sK34(cS1395))
| ~ spl45_36
| ~ spl45_59 ),
inference(resolution,[],[f769,f664]) ).
fof(f3174,plain,
( ~ spl45_3
| spl45_270
| ~ spl45_7
| ~ spl45_199 ),
inference(avatar_split_clause,[],[f2160,f2099,f516,f3172,f497]) ).
fof(f3172,plain,
( spl45_270
<=> ! [X13,X12] :
( aInteger0(sK42(X12,X13,stldt0(sdtbsmnsldt0(xA,xB))))
| sP20(X12,X13,stldt0(sdtbsmnsldt0(xA,xB))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_270])]) ).
fof(f2160,plain,
( ! [X12,X13] :
( aInteger0(sK42(X12,X13,stldt0(sdtbsmnsldt0(xA,xB))))
| sP20(X12,X13,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aSet0(stldt0(sdtbsmnsldt0(xA,xB))) )
| ~ spl45_7
| ~ spl45_199 ),
inference(duplicate_literal_removal,[],[f2133]) ).
fof(f2133,plain,
( ! [X12,X13] :
( aInteger0(sK42(X12,X13,stldt0(sdtbsmnsldt0(xA,xB))))
| sP20(X12,X13,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
| aInteger0(sK42(X12,X13,stldt0(sdtbsmnsldt0(xA,xB)))) )
| ~ spl45_7
| ~ spl45_199 ),
inference(resolution,[],[f2100,f517]) ).
fof(f3153,plain,
( ~ spl45_3
| spl45_269
| ~ spl45_7
| ~ spl45_148 ),
inference(avatar_split_clause,[],[f1459,f1405,f516,f3151,f497]) ).
fof(f3151,plain,
( spl45_269
<=> ! [X6] :
( aSubsetOf0(stldt0(sdtbsmnsldt0(xA,xB)),X6)
| aInteger0(sK33(X6,stldt0(sdtbsmnsldt0(xA,xB))))
| ~ aSet0(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_269])]) ).
fof(f1459,plain,
( ! [X6] :
( aSubsetOf0(stldt0(sdtbsmnsldt0(xA,xB)),X6)
| ~ aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aSet0(X6)
| aInteger0(sK33(X6,stldt0(sdtbsmnsldt0(xA,xB)))) )
| ~ spl45_7
| ~ spl45_148 ),
inference(resolution,[],[f1406,f517]) ).
fof(f3145,plain,
( ~ spl45_268
| ~ spl45_3
| spl45_261
| ~ spl45_22
| ~ spl45_113 ),
inference(avatar_split_clause,[],[f1207,f1117,f587,f3008,f497,f3142]) ).
fof(f3142,plain,
( spl45_268
<=> aElementOf0(sK41(stldt0(sdtbsmnsldt0(xA,xB))),sdtbsmnsldt0(xA,xB)) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_268])]) ).
fof(f3008,plain,
( spl45_261
<=> isOpen0(sbsmnsldt0(stldt0(sdtbsmnsldt0(xA,xB)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_261])]) ).
fof(f1207,plain,
( isOpen0(sbsmnsldt0(stldt0(sdtbsmnsldt0(xA,xB))))
| ~ aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aElementOf0(sK41(stldt0(sdtbsmnsldt0(xA,xB))),sdtbsmnsldt0(xA,xB))
| ~ spl45_22
| ~ spl45_113 ),
inference(resolution,[],[f1118,f588]) ).
fof(f3136,plain,
( ~ spl45_267
| ~ spl45_3
| spl45_259
| ~ spl45_22
| ~ spl45_92 ),
inference(avatar_split_clause,[],[f1012,f968,f587,f2982,f497,f3133]) ).
fof(f3133,plain,
( spl45_267
<=> aElementOf0(sK40(stldt0(sdtbsmnsldt0(xA,xB))),sdtbsmnsldt0(xA,xB)) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_267])]) ).
fof(f2982,plain,
( spl45_259
<=> sP19(stldt0(sdtbsmnsldt0(xA,xB))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_259])]) ).
fof(f1012,plain,
( sP19(stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aElementOf0(sK40(stldt0(sdtbsmnsldt0(xA,xB))),sdtbsmnsldt0(xA,xB))
| ~ spl45_22
| ~ spl45_92 ),
inference(resolution,[],[f969,f588]) ).
fof(f3083,plain,
( ~ spl45_3
| spl45_266
| ~ spl45_7
| ~ spl45_175 ),
inference(avatar_split_clause,[],[f1775,f1694,f516,f3081,f497]) ).
fof(f3081,plain,
( spl45_266
<=> ! [X6] :
( aInteger0(sK36(X6,stldt0(sdtbsmnsldt0(xA,xB))))
| sP16(X6,stldt0(sdtbsmnsldt0(xA,xB))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_266])]) ).
fof(f1775,plain,
( ! [X6] :
( aInteger0(sK36(X6,stldt0(sdtbsmnsldt0(xA,xB))))
| sP16(X6,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aSet0(stldt0(sdtbsmnsldt0(xA,xB))) )
| ~ spl45_7
| ~ spl45_175 ),
inference(duplicate_literal_removal,[],[f1748]) ).
fof(f1748,plain,
( ! [X6] :
( aInteger0(sK36(X6,stldt0(sdtbsmnsldt0(xA,xB))))
| sP16(X6,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
| aInteger0(sK36(X6,stldt0(sdtbsmnsldt0(xA,xB)))) )
| ~ spl45_7
| ~ spl45_175 ),
inference(resolution,[],[f1695,f517]) ).
fof(f3079,plain,
( spl45_265
| ~ spl45_6
| ~ spl45_166 ),
inference(avatar_split_clause,[],[f1624,f1558,f512,f3077]) ).
fof(f3077,plain,
( spl45_265
<=> ! [X2] :
( aElementOf0(sK37(sdtbsmnsldt0(xA,xB),X2),X2)
| sP18(sdtbsmnsldt0(xA,xB),X2)
| aInteger0(sK38(sdtbsmnsldt0(xA,xB),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_265])]) ).
fof(f512,plain,
( spl45_6
<=> ! [X3] :
( aInteger0(X3)
| ~ aElementOf0(X3,sdtbsmnsldt0(xA,xB)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_6])]) ).
fof(f1624,plain,
( ! [X2] :
( aElementOf0(sK37(sdtbsmnsldt0(xA,xB),X2),X2)
| sP18(sdtbsmnsldt0(xA,xB),X2)
| aInteger0(sK38(sdtbsmnsldt0(xA,xB),X2)) )
| ~ spl45_6
| ~ spl45_166 ),
inference(resolution,[],[f1559,f513]) ).
fof(f513,plain,
( ! [X3] :
( ~ aElementOf0(X3,sdtbsmnsldt0(xA,xB))
| aInteger0(X3) )
| ~ spl45_6 ),
inference(avatar_component_clause,[],[f512]) ).
fof(f3058,plain,
( spl45_264
| ~ spl45_34
| ~ spl45_251 ),
inference(avatar_split_clause,[],[f2858,f2850,f651,f3055]) ).
fof(f3055,plain,
( spl45_264
<=> sP13(sK41(sdtbsmnsldt0(xA,xB))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_264])]) ).
fof(f2850,plain,
( spl45_251
<=> aInteger0(sK41(sdtbsmnsldt0(xA,xB))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_251])]) ).
fof(f2858,plain,
( sP13(sK41(sdtbsmnsldt0(xA,xB)))
| ~ spl45_34
| ~ spl45_251 ),
inference(resolution,[],[f2852,f652]) ).
fof(f2852,plain,
( aInteger0(sK41(sdtbsmnsldt0(xA,xB)))
| ~ spl45_251 ),
inference(avatar_component_clause,[],[f2850]) ).
fof(f3053,plain,
( ~ spl45_1
| spl45_263
| ~ spl45_6
| ~ spl45_199 ),
inference(avatar_split_clause,[],[f2161,f2099,f512,f3051,f487]) ).
fof(f3051,plain,
( spl45_263
<=> ! [X4,X5] :
( aInteger0(sK42(X4,X5,sdtbsmnsldt0(xA,xB)))
| sP20(X4,X5,sdtbsmnsldt0(xA,xB)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_263])]) ).
fof(f2161,plain,
( ! [X4,X5] :
( aInteger0(sK42(X4,X5,sdtbsmnsldt0(xA,xB)))
| sP20(X4,X5,sdtbsmnsldt0(xA,xB))
| ~ aSet0(sdtbsmnsldt0(xA,xB)) )
| ~ spl45_6
| ~ spl45_199 ),
inference(duplicate_literal_removal,[],[f2129]) ).
fof(f2129,plain,
( ! [X4,X5] :
( aInteger0(sK42(X4,X5,sdtbsmnsldt0(xA,xB)))
| sP20(X4,X5,sdtbsmnsldt0(xA,xB))
| ~ aSet0(sdtbsmnsldt0(xA,xB))
| aInteger0(sK42(X4,X5,sdtbsmnsldt0(xA,xB))) )
| ~ spl45_6
| ~ spl45_199 ),
inference(resolution,[],[f2100,f513]) ).
fof(f3032,plain,
( ~ spl45_1
| spl45_262
| ~ spl45_6
| ~ spl45_148 ),
inference(avatar_split_clause,[],[f1455,f1405,f512,f3030,f487]) ).
fof(f3030,plain,
( spl45_262
<=> ! [X2] :
( aSubsetOf0(sdtbsmnsldt0(xA,xB),X2)
| aInteger0(sK33(X2,sdtbsmnsldt0(xA,xB)))
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_262])]) ).
fof(f1455,plain,
( ! [X2] :
( aSubsetOf0(sdtbsmnsldt0(xA,xB),X2)
| ~ aSet0(sdtbsmnsldt0(xA,xB))
| ~ aSet0(X2)
| aInteger0(sK33(X2,sdtbsmnsldt0(xA,xB))) )
| ~ spl45_6
| ~ spl45_148 ),
inference(resolution,[],[f1406,f513]) ).
fof(f3011,plain,
( spl45_260
| ~ spl45_3
| spl45_261
| ~ spl45_7
| ~ spl45_113 ),
inference(avatar_split_clause,[],[f1208,f1117,f516,f3008,f497,f3004]) ).
fof(f1208,plain,
( isOpen0(sbsmnsldt0(stldt0(sdtbsmnsldt0(xA,xB))))
| ~ aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
| aInteger0(sK41(stldt0(sdtbsmnsldt0(xA,xB))))
| ~ spl45_7
| ~ spl45_113 ),
inference(resolution,[],[f1118,f517]) ).
fof(f2985,plain,
( spl45_258
| ~ spl45_3
| spl45_259
| ~ spl45_7
| ~ spl45_92 ),
inference(avatar_split_clause,[],[f1013,f968,f516,f2982,f497,f2978]) ).
fof(f1013,plain,
( sP19(stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
| aInteger0(sK40(stldt0(sdtbsmnsldt0(xA,xB))))
| ~ spl45_7
| ~ spl45_92 ),
inference(resolution,[],[f969,f517]) ).
fof(f2913,plain,
( spl45_257
| ~ spl45_22
| ~ spl45_193 ),
inference(avatar_split_clause,[],[f1946,f1941,f587,f2911]) ).
fof(f2911,plain,
( spl45_257
<=> ! [X2] :
( ~ aElementOf0(X2,stldt0(xB))
| ~ aElementOf0(X2,stldt0(xA))
| ~ aInteger0(X2)
| ~ aElementOf0(X2,sdtbsmnsldt0(xA,xB)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_257])]) ).
fof(f1941,plain,
( spl45_193
<=> ! [X0] :
( aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aElementOf0(X0,stldt0(xB))
| ~ aElementOf0(X0,stldt0(xA))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_193])]) ).
fof(f1946,plain,
( ! [X2] :
( ~ aElementOf0(X2,stldt0(xB))
| ~ aElementOf0(X2,stldt0(xA))
| ~ aInteger0(X2)
| ~ aElementOf0(X2,sdtbsmnsldt0(xA,xB)) )
| ~ spl45_22
| ~ spl45_193 ),
inference(resolution,[],[f1942,f588]) ).
fof(f1942,plain,
( ! [X0] :
( aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aElementOf0(X0,stldt0(xB))
| ~ aElementOf0(X0,stldt0(xA))
| ~ aInteger0(X0) )
| ~ spl45_193 ),
inference(avatar_component_clause,[],[f1941]) ).
fof(f2909,plain,
( spl45_256
| ~ spl45_7
| ~ spl45_191 ),
inference(avatar_split_clause,[],[f1936,f1833,f516,f2907]) ).
fof(f2907,plain,
( spl45_256
<=> ! [X13,X12] :
( aInteger0(sK44(X12,X13,stldt0(sdtbsmnsldt0(xA,xB))))
| sP23(X12,X13,stldt0(sdtbsmnsldt0(xA,xB))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_256])]) ).
fof(f1936,plain,
( ! [X12,X13] :
( aInteger0(sK44(X12,X13,stldt0(sdtbsmnsldt0(xA,xB))))
| sP23(X12,X13,stldt0(sdtbsmnsldt0(xA,xB))) )
| ~ spl45_7
| ~ spl45_191 ),
inference(duplicate_literal_removal,[],[f1909]) ).
fof(f1909,plain,
( ! [X12,X13] :
( aInteger0(sK44(X12,X13,stldt0(sdtbsmnsldt0(xA,xB))))
| sP23(X12,X13,stldt0(sdtbsmnsldt0(xA,xB)))
| aInteger0(sK44(X12,X13,stldt0(sdtbsmnsldt0(xA,xB)))) )
| ~ spl45_7
| ~ spl45_191 ),
inference(resolution,[],[f1834,f517]) ).
fof(f2905,plain,
( spl45_255
| ~ spl45_7
| ~ spl45_189 ),
inference(avatar_split_clause,[],[f1898,f1825,f516,f2903]) ).
fof(f2903,plain,
( spl45_255
<=> ! [X13,X12] :
( aInteger0(sK43(X12,X13,stldt0(sdtbsmnsldt0(xA,xB))))
| sP22(X12,X13,stldt0(sdtbsmnsldt0(xA,xB))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_255])]) ).
fof(f1898,plain,
( ! [X12,X13] :
( aInteger0(sK43(X12,X13,stldt0(sdtbsmnsldt0(xA,xB))))
| sP22(X12,X13,stldt0(sdtbsmnsldt0(xA,xB))) )
| ~ spl45_7
| ~ spl45_189 ),
inference(duplicate_literal_removal,[],[f1871]) ).
fof(f1871,plain,
( ! [X12,X13] :
( aInteger0(sK43(X12,X13,stldt0(sdtbsmnsldt0(xA,xB))))
| sP22(X12,X13,stldt0(sdtbsmnsldt0(xA,xB)))
| aInteger0(sK43(X12,X13,stldt0(sdtbsmnsldt0(xA,xB)))) )
| ~ spl45_7
| ~ spl45_189 ),
inference(resolution,[],[f1826,f517]) ).
fof(f2884,plain,
( ~ spl45_1
| spl45_254
| ~ spl45_6
| ~ spl45_175 ),
inference(avatar_split_clause,[],[f1776,f1694,f512,f2882,f487]) ).
fof(f2882,plain,
( spl45_254
<=> ! [X2] :
( aInteger0(sK36(X2,sdtbsmnsldt0(xA,xB)))
| sP16(X2,sdtbsmnsldt0(xA,xB)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_254])]) ).
fof(f1776,plain,
( ! [X2] :
( aInteger0(sK36(X2,sdtbsmnsldt0(xA,xB)))
| sP16(X2,sdtbsmnsldt0(xA,xB))
| ~ aSet0(sdtbsmnsldt0(xA,xB)) )
| ~ spl45_6
| ~ spl45_175 ),
inference(duplicate_literal_removal,[],[f1744]) ).
fof(f1744,plain,
( ! [X2] :
( aInteger0(sK36(X2,sdtbsmnsldt0(xA,xB)))
| sP16(X2,sdtbsmnsldt0(xA,xB))
| ~ aSet0(sdtbsmnsldt0(xA,xB))
| aInteger0(sK36(X2,sdtbsmnsldt0(xA,xB))) )
| ~ spl45_6
| ~ spl45_175 ),
inference(resolution,[],[f1695,f513]) ).
fof(f2878,plain,
( spl45_253
| ~ spl45_30
| ~ spl45_130 ),
inference(avatar_split_clause,[],[f1341,f1282,f631,f2876]) ).
fof(f2876,plain,
( spl45_253
<=> ! [X0,X1] :
( ~ sP3(X0,X1)
| aElementOf0(sK24(X0,X1),sdtbsmnsldt0(xA,xB))
| ~ aInteger0(sK24(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_253])]) ).
fof(f1282,plain,
( spl45_130
<=> ! [X0,X1] :
( ~ aElementOf0(sK24(X0,X1),stldt0(sdtbsmnsldt0(xA,xB)))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_130])]) ).
fof(f1341,plain,
( ! [X0,X1] :
( ~ sP3(X0,X1)
| aElementOf0(sK24(X0,X1),sdtbsmnsldt0(xA,xB))
| ~ aInteger0(sK24(X0,X1)) )
| ~ spl45_30
| ~ spl45_130 ),
inference(resolution,[],[f1283,f632]) ).
fof(f1283,plain,
( ! [X0,X1] :
( ~ aElementOf0(sK24(X0,X1),stldt0(sdtbsmnsldt0(xA,xB)))
| ~ sP3(X0,X1) )
| ~ spl45_130 ),
inference(avatar_component_clause,[],[f1282]) ).
fof(f2857,plain,
( spl45_251
| ~ spl45_1
| spl45_252
| ~ spl45_6
| ~ spl45_113 ),
inference(avatar_split_clause,[],[f1206,f1117,f512,f2854,f487,f2850]) ).
fof(f2854,plain,
( spl45_252
<=> isOpen0(sbsmnsldt0(sdtbsmnsldt0(xA,xB))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_252])]) ).
fof(f1206,plain,
( isOpen0(sbsmnsldt0(sdtbsmnsldt0(xA,xB)))
| ~ aSet0(sdtbsmnsldt0(xA,xB))
| aInteger0(sK41(sdtbsmnsldt0(xA,xB)))
| ~ spl45_6
| ~ spl45_113 ),
inference(resolution,[],[f1118,f513]) ).
fof(f2844,plain,
( ~ spl45_250
| spl45_234
| ~ spl45_22
| ~ spl45_59 ),
inference(avatar_split_clause,[],[f784,f768,f587,f2633,f2841]) ).
fof(f2841,plain,
( spl45_250
<=> aElementOf0(sK34(stldt0(sdtbsmnsldt0(xA,xB))),sdtbsmnsldt0(xA,xB)) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_250])]) ).
fof(f784,plain,
( sP14(stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aElementOf0(sK34(stldt0(sdtbsmnsldt0(xA,xB))),sdtbsmnsldt0(xA,xB))
| ~ spl45_22
| ~ spl45_59 ),
inference(resolution,[],[f769,f588]) ).
fof(f2788,plain,
( spl45_249
| ~ spl45_6
| ~ spl45_191 ),
inference(avatar_split_clause,[],[f1937,f1833,f512,f2786]) ).
fof(f2786,plain,
( spl45_249
<=> ! [X4,X5] :
( aInteger0(sK44(X4,X5,sdtbsmnsldt0(xA,xB)))
| sP23(X4,X5,sdtbsmnsldt0(xA,xB)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_249])]) ).
fof(f1937,plain,
( ! [X4,X5] :
( aInteger0(sK44(X4,X5,sdtbsmnsldt0(xA,xB)))
| sP23(X4,X5,sdtbsmnsldt0(xA,xB)) )
| ~ spl45_6
| ~ spl45_191 ),
inference(duplicate_literal_removal,[],[f1905]) ).
fof(f1905,plain,
( ! [X4,X5] :
( aInteger0(sK44(X4,X5,sdtbsmnsldt0(xA,xB)))
| sP23(X4,X5,sdtbsmnsldt0(xA,xB))
| aInteger0(sK44(X4,X5,sdtbsmnsldt0(xA,xB))) )
| ~ spl45_6
| ~ spl45_191 ),
inference(resolution,[],[f1834,f513]) ).
fof(f2784,plain,
( spl45_248
| ~ spl45_6
| ~ spl45_189 ),
inference(avatar_split_clause,[],[f1899,f1825,f512,f2782]) ).
fof(f2782,plain,
( spl45_248
<=> ! [X4,X5] :
( aInteger0(sK43(X4,X5,sdtbsmnsldt0(xA,xB)))
| sP22(X4,X5,sdtbsmnsldt0(xA,xB)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_248])]) ).
fof(f1899,plain,
( ! [X4,X5] :
( aInteger0(sK43(X4,X5,sdtbsmnsldt0(xA,xB)))
| sP22(X4,X5,sdtbsmnsldt0(xA,xB)) )
| ~ spl45_6
| ~ spl45_189 ),
inference(duplicate_literal_removal,[],[f1867]) ).
fof(f1867,plain,
( ! [X4,X5] :
( aInteger0(sK43(X4,X5,sdtbsmnsldt0(xA,xB)))
| sP22(X4,X5,sdtbsmnsldt0(xA,xB))
| aInteger0(sK43(X4,X5,sdtbsmnsldt0(xA,xB))) )
| ~ spl45_6
| ~ spl45_189 ),
inference(resolution,[],[f1826,f513]) ).
fof(f2780,plain,
( spl45_247
| ~ spl45_34
| ~ spl45_244 ),
inference(avatar_split_clause,[],[f2755,f2747,f651,f2777]) ).
fof(f2777,plain,
( spl45_247
<=> sP13(sK40(sdtbsmnsldt0(xA,xB))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_247])]) ).
fof(f2747,plain,
( spl45_244
<=> aInteger0(sK40(sdtbsmnsldt0(xA,xB))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_244])]) ).
fof(f2755,plain,
( sP13(sK40(sdtbsmnsldt0(xA,xB)))
| ~ spl45_34
| ~ spl45_244 ),
inference(resolution,[],[f2749,f652]) ).
fof(f2749,plain,
( aInteger0(sK40(sdtbsmnsldt0(xA,xB)))
| ~ spl45_244 ),
inference(avatar_component_clause,[],[f2747]) ).
fof(f2775,plain,
( spl45_246
| ~ spl45_7
| ~ spl45_151 ),
inference(avatar_split_clause,[],[f1517,f1417,f516,f2773]) ).
fof(f2773,plain,
( spl45_246
<=> ! [X6] :
( aInteger0(sK37(X6,stldt0(sdtbsmnsldt0(xA,xB))))
| sP18(X6,stldt0(sdtbsmnsldt0(xA,xB))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_246])]) ).
fof(f1517,plain,
( ! [X6] :
( aInteger0(sK37(X6,stldt0(sdtbsmnsldt0(xA,xB))))
| sP18(X6,stldt0(sdtbsmnsldt0(xA,xB))) )
| ~ spl45_7
| ~ spl45_151 ),
inference(duplicate_literal_removal,[],[f1496]) ).
fof(f1496,plain,
( ! [X6] :
( aInteger0(sK37(X6,stldt0(sdtbsmnsldt0(xA,xB))))
| sP18(X6,stldt0(sdtbsmnsldt0(xA,xB)))
| aInteger0(sK37(X6,stldt0(sdtbsmnsldt0(xA,xB)))) )
| ~ spl45_7
| ~ spl45_151 ),
inference(resolution,[],[f1418,f517]) ).
fof(f2754,plain,
( spl45_244
| ~ spl45_1
| spl45_245
| ~ spl45_6
| ~ spl45_92 ),
inference(avatar_split_clause,[],[f1011,f968,f512,f2751,f487,f2747]) ).
fof(f2751,plain,
( spl45_245
<=> sP19(sdtbsmnsldt0(xA,xB)) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_245])]) ).
fof(f1011,plain,
( sP19(sdtbsmnsldt0(xA,xB))
| ~ aSet0(sdtbsmnsldt0(xA,xB))
| aInteger0(sK40(sdtbsmnsldt0(xA,xB)))
| ~ spl45_6
| ~ spl45_92 ),
inference(resolution,[],[f969,f513]) ).
fof(f2745,plain,
( spl45_243
| ~ spl45_56 ),
inference(avatar_split_clause,[],[f780,f756,f2743]) ).
fof(f2743,plain,
( spl45_243
<=> ! [X0] : ~ sP12(X0,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_243])]) ).
fof(f756,plain,
( spl45_56
<=> ! [X0,X1] :
( sz00 != X1
| ~ sP12(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_56])]) ).
fof(f780,plain,
( ! [X0] : ~ sP12(X0,sz00)
| ~ spl45_56 ),
inference(equality_resolution,[],[f757]) ).
fof(f757,plain,
( ! [X0,X1] :
( sz00 != X1
| ~ sP12(X0,X1) )
| ~ spl45_56 ),
inference(avatar_component_clause,[],[f756]) ).
fof(f2737,plain,
( spl45_242
| ~ spl45_34
| ~ spl45_233 ),
inference(avatar_split_clause,[],[f2637,f2629,f651,f2734]) ).
fof(f2734,plain,
( spl45_242
<=> sP13(sK34(stldt0(sdtbsmnsldt0(xA,xB)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_242])]) ).
fof(f2637,plain,
( sP13(sK34(stldt0(sdtbsmnsldt0(xA,xB))))
| ~ spl45_34
| ~ spl45_233 ),
inference(resolution,[],[f2631,f652]) ).
fof(f2732,plain,
( spl45_241
| ~ spl45_33
| ~ spl45_45 ),
inference(avatar_split_clause,[],[f714,f701,f646,f2729]) ).
fof(f2729,plain,
( spl45_241
<=> sP17(stldt0(xB)) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_241])]) ).
fof(f714,plain,
( sP17(stldt0(xB))
| ~ spl45_33
| ~ spl45_45 ),
inference(resolution,[],[f702,f648]) ).
fof(f2727,plain,
( spl45_240
| ~ spl45_32
| ~ spl45_45 ),
inference(avatar_split_clause,[],[f713,f701,f641,f2724]) ).
fof(f2724,plain,
( spl45_240
<=> sP17(stldt0(xA)) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_240])]) ).
fof(f713,plain,
( sP17(stldt0(xA))
| ~ spl45_32
| ~ spl45_45 ),
inference(resolution,[],[f702,f643]) ).
fof(f2722,plain,
( spl45_239
| ~ spl45_33
| ~ spl45_42 ),
inference(avatar_split_clause,[],[f710,f688,f646,f2719]) ).
fof(f2719,plain,
( spl45_239
<=> sP15(stldt0(xB)) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_239])]) ).
fof(f688,plain,
( spl45_42
<=> ! [X0] :
( sP15(X0)
| ~ aSubsetOf0(X0,cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_42])]) ).
fof(f710,plain,
( sP15(stldt0(xB))
| ~ spl45_33
| ~ spl45_42 ),
inference(resolution,[],[f689,f648]) ).
fof(f689,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,cS1395)
| sP15(X0) )
| ~ spl45_42 ),
inference(avatar_component_clause,[],[f688]) ).
fof(f2717,plain,
( spl45_238
| ~ spl45_32
| ~ spl45_42 ),
inference(avatar_split_clause,[],[f709,f688,f641,f2714]) ).
fof(f2714,plain,
( spl45_238
<=> sP15(stldt0(xA)) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_238])]) ).
fof(f709,plain,
( sP15(stldt0(xA))
| ~ spl45_32
| ~ spl45_42 ),
inference(resolution,[],[f689,f643]) ).
fof(f2665,plain,
( spl45_237
| ~ spl45_6
| ~ spl45_151 ),
inference(avatar_split_clause,[],[f1518,f1417,f512,f2663]) ).
fof(f2663,plain,
( spl45_237
<=> ! [X2] :
( aInteger0(sK37(X2,sdtbsmnsldt0(xA,xB)))
| sP18(X2,sdtbsmnsldt0(xA,xB)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_237])]) ).
fof(f1518,plain,
( ! [X2] :
( aInteger0(sK37(X2,sdtbsmnsldt0(xA,xB)))
| sP18(X2,sdtbsmnsldt0(xA,xB)) )
| ~ spl45_6
| ~ spl45_151 ),
inference(duplicate_literal_removal,[],[f1492]) ).
fof(f1492,plain,
( ! [X2] :
( aInteger0(sK37(X2,sdtbsmnsldt0(xA,xB)))
| sP18(X2,sdtbsmnsldt0(xA,xB))
| aInteger0(sK37(X2,sdtbsmnsldt0(xA,xB))) )
| ~ spl45_6
| ~ spl45_151 ),
inference(resolution,[],[f1418,f513]) ).
fof(f2661,plain,
( spl45_236
| ~ spl45_30
| ~ spl45_119 ),
inference(avatar_split_clause,[],[f1237,f1224,f631,f2659]) ).
fof(f2659,plain,
( spl45_236
<=> ! [X0] :
( aElementOf0(X0,stldt0(xB))
| aElementOf0(X0,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_236])]) ).
fof(f1224,plain,
( spl45_119
<=> ! [X0] :
( aElementOf0(X0,stldt0(xB))
| ~ aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_119])]) ).
fof(f1237,plain,
( ! [X0] :
( aElementOf0(X0,stldt0(xB))
| aElementOf0(X0,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(X0) )
| ~ spl45_30
| ~ spl45_119 ),
inference(resolution,[],[f1225,f632]) ).
fof(f1225,plain,
( ! [X0] :
( ~ aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0(X0,stldt0(xB)) )
| ~ spl45_119 ),
inference(avatar_component_clause,[],[f1224]) ).
fof(f2657,plain,
( spl45_235
| ~ spl45_30
| ~ spl45_118 ),
inference(avatar_split_clause,[],[f1232,f1220,f631,f2655]) ).
fof(f2655,plain,
( spl45_235
<=> ! [X0] :
( aElementOf0(X0,stldt0(xA))
| aElementOf0(X0,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_235])]) ).
fof(f1220,plain,
( spl45_118
<=> ! [X0] :
( aElementOf0(X0,stldt0(xA))
| ~ aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_118])]) ).
fof(f1232,plain,
( ! [X0] :
( aElementOf0(X0,stldt0(xA))
| aElementOf0(X0,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(X0) )
| ~ spl45_30
| ~ spl45_118 ),
inference(resolution,[],[f1221,f632]) ).
fof(f1221,plain,
( ! [X0] :
( ~ aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0(X0,stldt0(xA)) )
| ~ spl45_118 ),
inference(avatar_component_clause,[],[f1220]) ).
fof(f2636,plain,
( spl45_233
| spl45_234
| ~ spl45_7
| ~ spl45_59 ),
inference(avatar_split_clause,[],[f785,f768,f516,f2633,f2629]) ).
fof(f785,plain,
( sP14(stldt0(sdtbsmnsldt0(xA,xB)))
| aInteger0(sK34(stldt0(sdtbsmnsldt0(xA,xB))))
| ~ spl45_7
| ~ spl45_59 ),
inference(resolution,[],[f769,f517]) ).
fof(f2627,plain,
( spl45_231
| spl45_232
| ~ spl45_6
| ~ spl45_59 ),
inference(avatar_split_clause,[],[f783,f768,f512,f2624,f2620]) ).
fof(f2620,plain,
( spl45_231
<=> aInteger0(sK34(sdtbsmnsldt0(xA,xB))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_231])]) ).
fof(f2624,plain,
( spl45_232
<=> sP14(sdtbsmnsldt0(xA,xB)) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_232])]) ).
fof(f783,plain,
( sP14(sdtbsmnsldt0(xA,xB))
| aInteger0(sK34(sdtbsmnsldt0(xA,xB)))
| ~ spl45_6
| ~ spl45_59 ),
inference(resolution,[],[f769,f513]) ).
fof(f2618,plain,
( spl45_230
| ~ spl45_17
| ~ spl45_34 ),
inference(avatar_split_clause,[],[f660,f651,f564,f2615]) ).
fof(f2615,plain,
( spl45_230
<=> sP13(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_230])]) ).
fof(f660,plain,
( sP13(sz00)
| ~ spl45_17
| ~ spl45_34 ),
inference(resolution,[],[f652,f566]) ).
fof(f2613,plain,
( spl45_229
| ~ spl45_16
| ~ spl45_34 ),
inference(avatar_split_clause,[],[f659,f651,f559,f2610]) ).
fof(f2610,plain,
( spl45_229
<=> sP13(sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_229])]) ).
fof(f659,plain,
( sP13(sz10)
| ~ spl45_16
| ~ spl45_34 ),
inference(resolution,[],[f652,f561]) ).
fof(f2608,plain,
( spl45_228
| ~ spl45_15
| ~ spl45_106 ),
inference(avatar_split_clause,[],[f1180,f1088,f554,f2605]) ).
fof(f2605,plain,
( spl45_228
<=> smndt0(sK26) = sdtasdt0(sK26,smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_228])]) ).
fof(f1180,plain,
( smndt0(sK26) = sdtasdt0(sK26,smndt0(sz10))
| ~ spl45_15
| ~ spl45_106 ),
inference(resolution,[],[f1089,f556]) ).
fof(f2599,plain,
( spl45_227
| ~ spl45_25
| ~ spl45_45 ),
inference(avatar_split_clause,[],[f712,f701,f604,f2596]) ).
fof(f2596,plain,
( spl45_227
<=> sP17(xB) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_227])]) ).
fof(f604,plain,
( spl45_25
<=> aSubsetOf0(xB,cS1395) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_25])]) ).
fof(f712,plain,
( sP17(xB)
| ~ spl45_25
| ~ spl45_45 ),
inference(resolution,[],[f702,f606]) ).
fof(f606,plain,
( aSubsetOf0(xB,cS1395)
| ~ spl45_25 ),
inference(avatar_component_clause,[],[f604]) ).
fof(f2594,plain,
( spl45_226
| ~ spl45_23
| ~ spl45_45 ),
inference(avatar_split_clause,[],[f711,f701,f594,f2591]) ).
fof(f2591,plain,
( spl45_226
<=> sP17(xA) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_226])]) ).
fof(f594,plain,
( spl45_23
<=> aSubsetOf0(xA,cS1395) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_23])]) ).
fof(f711,plain,
( sP17(xA)
| ~ spl45_23
| ~ spl45_45 ),
inference(resolution,[],[f702,f596]) ).
fof(f596,plain,
( aSubsetOf0(xA,cS1395)
| ~ spl45_23 ),
inference(avatar_component_clause,[],[f594]) ).
fof(f2561,plain,
spl45_225,
inference(avatar_split_clause,[],[f461,f2559]) ).
fof(f461,plain,
! [X2,X0,X1] :
( sP22(X0,X1,X2)
| ~ aElementOf0(sK43(X0,X1,X2),X0)
| ~ aElementOf0(sK43(X0,X1,X2),X1)
| ~ aInteger0(sK43(X0,X1,X2))
| ~ aElementOf0(sK43(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f238]) ).
fof(f238,plain,
! [X0,X1,X2] :
( ( sP22(X0,X1,X2)
| ( ( ~ aElementOf0(sK43(X0,X1,X2),X0)
| ~ aElementOf0(sK43(X0,X1,X2),X1)
| ~ aInteger0(sK43(X0,X1,X2))
| ~ aElementOf0(sK43(X0,X1,X2),X2) )
& ( ( aElementOf0(sK43(X0,X1,X2),X0)
& aElementOf0(sK43(X0,X1,X2),X1)
& aInteger0(sK43(X0,X1,X2)) )
| aElementOf0(sK43(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) ) )
| ~ sP22(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK43])],[f236,f237]) ).
fof(f237,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(sK43(X0,X1,X2),X0)
| ~ aElementOf0(sK43(X0,X1,X2),X1)
| ~ aInteger0(sK43(X0,X1,X2))
| ~ aElementOf0(sK43(X0,X1,X2),X2) )
& ( ( aElementOf0(sK43(X0,X1,X2),X0)
& aElementOf0(sK43(X0,X1,X2),X1)
& aInteger0(sK43(X0,X1,X2)) )
| aElementOf0(sK43(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f236,plain,
! [X0,X1,X2] :
( ( sP22(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) ) )
| ~ sP22(X0,X1,X2) ) ),
inference(rectify,[],[f235]) ).
fof(f235,plain,
! [X1,X0,X2] :
( ( sP22(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) ) )
| ~ sP22(X1,X0,X2) ) ),
inference(flattening,[],[f234]) ).
fof(f234,plain,
! [X1,X0,X2] :
( ( sP22(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) ) )
| ~ sP22(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f136]) ).
fof(f136,plain,
! [X1,X0,X2] :
( sP22(X1,X0,X2)
<=> ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElementOf0(X3,X1)
& aElementOf0(X3,X0)
& aInteger0(X3) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f2541,plain,
( spl45_224
| ~ spl45_15
| ~ spl45_105 ),
inference(avatar_split_clause,[],[f1168,f1084,f554,f2538]) ).
fof(f2538,plain,
( spl45_224
<=> smndt0(sK26) = sdtasdt0(smndt0(sz10),sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_224])]) ).
fof(f1168,plain,
( smndt0(sK26) = sdtasdt0(smndt0(sz10),sK26)
| ~ spl45_15
| ~ spl45_105 ),
inference(resolution,[],[f1085,f556]) ).
fof(f2536,plain,
spl45_223,
inference(avatar_split_clause,[],[f484,f2534]) ).
fof(f2534,plain,
( spl45_223
<=> ! [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,[spl45_223])]) ).
fof(f484,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,[],[f104]) ).
fof(f104,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,[],[f103]) ).
fof(f103,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/tmp/tmp.yhOMwMsgGv/Vampire---4.8_6813',mEquModMul) ).
fof(f2532,plain,
spl45_222,
inference(avatar_split_clause,[],[f483,f2530]) ).
fof(f2530,plain,
( spl45_222
<=> ! [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,[spl45_222])]) ).
fof(f483,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,[],[f104]) ).
fof(f2528,plain,
spl45_221,
inference(avatar_split_clause,[],[f446,f2526]) ).
fof(f2526,plain,
( spl45_221
<=> ! [X2,X0,X1] :
( sP20(X0,X1,X2)
| ~ sdteqdtlpzmzozddtrp0(sK42(X0,X1,X2),X1,X0)
| ~ aInteger0(sK42(X0,X1,X2))
| ~ aElementOf0(sK42(X0,X1,X2),X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_221])]) ).
fof(f446,plain,
! [X2,X0,X1] :
( sP20(X0,X1,X2)
| ~ sdteqdtlpzmzozddtrp0(sK42(X0,X1,X2),X1,X0)
| ~ aInteger0(sK42(X0,X1,X2))
| ~ aElementOf0(sK42(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f233]) ).
fof(f233,plain,
! [X0,X1,X2] :
( ( sP20(X0,X1,X2)
| ( ( ~ sdteqdtlpzmzozddtrp0(sK42(X0,X1,X2),X1,X0)
| ~ aInteger0(sK42(X0,X1,X2))
| ~ aElementOf0(sK42(X0,X1,X2),X2) )
& ( ( sdteqdtlpzmzozddtrp0(sK42(X0,X1,X2),X1,X0)
& aInteger0(sK42(X0,X1,X2)) )
| aElementOf0(sK42(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) )
| ~ sP20(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK42])],[f231,f232]) ).
fof(f232,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ~ sdteqdtlpzmzozddtrp0(X3,X1,X0)
| ~ aInteger0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( sdteqdtlpzmzozddtrp0(X3,X1,X0)
& aInteger0(X3) )
| aElementOf0(X3,X2) ) )
=> ( ( ~ sdteqdtlpzmzozddtrp0(sK42(X0,X1,X2),X1,X0)
| ~ aInteger0(sK42(X0,X1,X2))
| ~ aElementOf0(sK42(X0,X1,X2),X2) )
& ( ( sdteqdtlpzmzozddtrp0(sK42(X0,X1,X2),X1,X0)
& aInteger0(sK42(X0,X1,X2)) )
| aElementOf0(sK42(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f231,plain,
! [X0,X1,X2] :
( ( sP20(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) )
| ~ sP20(X0,X1,X2) ) ),
inference(rectify,[],[f230]) ).
fof(f230,plain,
! [X1,X0,X2] :
( ( sP20(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) )
| ~ sP20(X1,X0,X2) ) ),
inference(flattening,[],[f229]) ).
fof(f229,plain,
! [X1,X0,X2] :
( ( sP20(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) )
| ~ sP20(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f133]) ).
fof(f133,plain,
! [X1,X0,X2] :
( sP20(X1,X0,X2)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sdteqdtlpzmzozddtrp0(X3,X0,X1)
& aInteger0(X3) ) )
& aSet0(X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f2521,plain,
spl45_220,
inference(avatar_split_clause,[],[f485,f2519]) ).
fof(f2519,plain,
( spl45_220
<=> ! [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,[spl45_220])]) ).
fof(f485,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,[],[f106]) ).
fof(f106,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,[],[f105]) ).
fof(f105,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/tmp/tmp.yhOMwMsgGv/Vampire---4.8_6813',mEquModTrn) ).
fof(f2422,plain,
spl45_219,
inference(avatar_split_clause,[],[f470,f2420]) ).
fof(f470,plain,
! [X2,X0,X1] :
( sP23(X0,X1,X2)
| aElementOf0(sK44(X0,X1,X2),X0)
| aElementOf0(sK44(X0,X1,X2),X1)
| aElementOf0(sK44(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f245]) ).
fof(f245,plain,
! [X0,X1,X2] :
( ( sP23(X0,X1,X2)
| ( ( ( ~ aElementOf0(sK44(X0,X1,X2),X0)
& ~ aElementOf0(sK44(X0,X1,X2),X1) )
| ~ aInteger0(sK44(X0,X1,X2))
| ~ aElementOf0(sK44(X0,X1,X2),X2) )
& ( ( ( aElementOf0(sK44(X0,X1,X2),X0)
| aElementOf0(sK44(X0,X1,X2),X1) )
& aInteger0(sK44(X0,X1,X2)) )
| aElementOf0(sK44(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) ) )
| ~ sP23(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK44])],[f243,f244]) ).
fof(f244,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(sK44(X0,X1,X2),X0)
& ~ aElementOf0(sK44(X0,X1,X2),X1) )
| ~ aInteger0(sK44(X0,X1,X2))
| ~ aElementOf0(sK44(X0,X1,X2),X2) )
& ( ( ( aElementOf0(sK44(X0,X1,X2),X0)
| aElementOf0(sK44(X0,X1,X2),X1) )
& aInteger0(sK44(X0,X1,X2)) )
| aElementOf0(sK44(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f243,plain,
! [X0,X1,X2] :
( ( sP23(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) ) )
| ~ sP23(X0,X1,X2) ) ),
inference(rectify,[],[f242]) ).
fof(f242,plain,
! [X1,X0,X2] :
( ( sP23(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) ) )
| ~ sP23(X1,X0,X2) ) ),
inference(flattening,[],[f241]) ).
fof(f241,plain,
! [X1,X0,X2] :
( ( sP23(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) ) )
| ~ sP23(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f138]) ).
fof(f138,plain,
! [X1,X0,X2] :
( sP23(X1,X0,X2)
<=> ! [X3] :
( aElementOf0(X3,X2)
<=> ( ( aElementOf0(X3,X1)
| aElementOf0(X3,X0) )
& aInteger0(X3) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f2374,plain,
spl45_218,
inference(avatar_split_clause,[],[f472,f2372]) ).
fof(f472,plain,
! [X2,X0,X1] :
( sP23(X0,X1,X2)
| ~ aElementOf0(sK44(X0,X1,X2),X0)
| ~ aInteger0(sK44(X0,X1,X2))
| ~ aElementOf0(sK44(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f245]) ).
fof(f2369,plain,
spl45_217,
inference(avatar_split_clause,[],[f471,f2367]) ).
fof(f471,plain,
! [X2,X0,X1] :
( sP23(X0,X1,X2)
| ~ aElementOf0(sK44(X0,X1,X2),X1)
| ~ aInteger0(sK44(X0,X1,X2))
| ~ aElementOf0(sK44(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f245]) ).
fof(f2336,plain,
spl45_216,
inference(avatar_split_clause,[],[f432,f2334]) ).
fof(f432,plain,
! [X3,X0,X1] :
( sP18(X0,X1)
| ~ aElementOf0(sK37(X0,X1),X3)
| ~ aElementOf0(X3,X0)
| ~ aInteger0(sK37(X0,X1))
| ~ aElementOf0(sK37(X0,X1),X1) ),
inference(cnf_transformation,[],[f223]) ).
fof(f223,plain,
! [X0,X1] :
( ( sP18(X0,X1)
| ( ( ! [X3] :
( ~ aElementOf0(sK37(X0,X1),X3)
| ~ aElementOf0(X3,X0) )
| ~ aInteger0(sK37(X0,X1))
| ~ aElementOf0(sK37(X0,X1),X1) )
& ( ( aElementOf0(sK37(X0,X1),sK38(X0,X1))
& aElementOf0(sK38(X0,X1),X0)
& aInteger0(sK37(X0,X1)) )
| aElementOf0(sK37(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( aElementOf0(X5,X1)
| ! [X6] :
( ~ aElementOf0(X5,X6)
| ~ aElementOf0(X6,X0) )
| ~ aInteger0(X5) )
& ( ( aElementOf0(X5,sK39(X0,X5))
& aElementOf0(sK39(X0,X5),X0)
& aInteger0(X5) )
| ~ aElementOf0(X5,X1) ) )
| ~ sP18(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK37,sK38,sK39])],[f219,f222,f221,f220]) ).
fof(f220,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(sK37(X0,X1),X3)
| ~ aElementOf0(X3,X0) )
| ~ aInteger0(sK37(X0,X1))
| ~ aElementOf0(sK37(X0,X1),X1) )
& ( ( ? [X4] :
( aElementOf0(sK37(X0,X1),X4)
& aElementOf0(X4,X0) )
& aInteger0(sK37(X0,X1)) )
| aElementOf0(sK37(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f221,plain,
! [X0,X1] :
( ? [X4] :
( aElementOf0(sK37(X0,X1),X4)
& aElementOf0(X4,X0) )
=> ( aElementOf0(sK37(X0,X1),sK38(X0,X1))
& aElementOf0(sK38(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f222,plain,
! [X0,X5] :
( ? [X7] :
( aElementOf0(X5,X7)
& aElementOf0(X7,X0) )
=> ( aElementOf0(X5,sK39(X0,X5))
& aElementOf0(sK39(X0,X5),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f219,plain,
! [X0,X1] :
( ( sP18(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) ) )
| ~ sP18(X0,X1) ) ),
inference(rectify,[],[f218]) ).
fof(f218,plain,
! [X0,X2] :
( ( sP18(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) ) )
| ~ sP18(X0,X2) ) ),
inference(flattening,[],[f217]) ).
fof(f217,plain,
! [X0,X2] :
( ( sP18(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) ) )
| ~ sP18(X0,X2) ) ),
inference(nnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0,X2] :
( sP18(X0,X2)
<=> ! [X3] :
( aElementOf0(X3,X2)
<=> ( ? [X4] :
( aElementOf0(X3,X4)
& aElementOf0(X4,X0) )
& aInteger0(X3) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f2332,plain,
spl45_215,
inference(avatar_split_clause,[],[f300,f2330]) ).
fof(f2330,plain,
( spl45_215
<=> ! [X0,X3,X2,X1] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| sdtpldt0(X2,smndt0(X1)) != sdtasdt0(X0,X3)
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_215])]) ).
fof(f300,plain,
! [X2,X3,X0,X1] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| sdtpldt0(X2,smndt0(X1)) != sdtasdt0(X0,X3)
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f173]) ).
fof(f173,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) )
& sP5(X0,X1,X2) )
| ~ sP6(X0,X1) ),
inference(rectify,[],[f172]) ).
fof(f172,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) )
& sP5(X8,X7,X10) )
| ~ sP6(X8,X7) ),
inference(nnf_transformation,[],[f114]) ).
fof(f114,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) )
& sP5(X8,X7,X10) )
| ~ sP6(X8,X7) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f2328,plain,
spl45_214,
inference(avatar_split_clause,[],[f284,f2326]) ).
fof(f2326,plain,
( spl45_214
<=> ! [X0,X3,X2,X1] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| sdtpldt0(X2,smndt0(X1)) != sdtasdt0(X0,X3)
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_214])]) ).
fof(f284,plain,
! [X2,X3,X0,X1] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| sdtpldt0(X2,smndt0(X1)) != sdtasdt0(X0,X3)
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ sP10(X0,X1) ),
inference(cnf_transformation,[],[f161]) ).
fof(f161,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) )
& sP9(X0,X1,X2) )
| ~ sP10(X0,X1) ),
inference(rectify,[],[f160]) ).
fof(f160,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) )
& sP9(X1,X0,X3) )
| ~ sP10(X1,X0) ),
inference(nnf_transformation,[],[f118]) ).
fof(f118,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) )
& sP9(X1,X0,X3) )
| ~ sP10(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f2324,plain,
spl45_213,
inference(avatar_split_clause,[],[f252,f2322]) ).
fof(f2322,plain,
( spl45_213
<=> ! [X0,X3,X2,X1] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| sdtpldt0(X2,smndt0(X1)) != sdtasdt0(X0,X3)
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_213])]) ).
fof(f252,plain,
! [X2,X3,X0,X1] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| sdtpldt0(X2,smndt0(X1)) != sdtasdt0(X0,X3)
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,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) )
& sP1(X0,X1,X2) )
| ~ sP2(X0,X1) ),
inference(rectify,[],[f144]) ).
fof(f144,plain,
! [X3,X2] :
( ! [X4] :
( ( aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3))
| ( ~ sdteqdtlpzmzozddtrp0(X4,X2,X3)
& ~ aDivisorOf0(X3,sdtpldt0(X4,smndt0(X2)))
& ! [X5] :
( sdtpldt0(X4,smndt0(X2)) != sdtasdt0(X3,X5)
| ~ aInteger0(X5) ) )
| ~ aInteger0(X4) )
& sP1(X3,X2,X4) )
| ~ sP2(X3,X2) ),
inference(nnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X3,X2] :
( ! [X4] :
( ( aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3))
| ( ~ sdteqdtlpzmzozddtrp0(X4,X2,X3)
& ~ aDivisorOf0(X3,sdtpldt0(X4,smndt0(X2)))
& ! [X5] :
( sdtpldt0(X4,smndt0(X2)) != sdtasdt0(X3,X5)
| ~ aInteger0(X5) ) )
| ~ aInteger0(X4) )
& sP1(X3,X2,X4) )
| ~ sP2(X3,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f2219,plain,
spl45_212,
inference(avatar_split_clause,[],[f482,f2217]) ).
fof(f482,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,[],[f102]) ).
fof(f102,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,[],[f101]) ).
fof(f101,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/tmp/tmp.yhOMwMsgGv/Vampire---4.8_6813',mDistrib) ).
fof(f2215,plain,
spl45_211,
inference(avatar_split_clause,[],[f481,f2213]) ).
fof(f481,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,[],[f102]) ).
fof(f2211,plain,
spl45_210,
inference(avatar_split_clause,[],[f478,f2209]) ).
fof(f2209,plain,
( spl45_210
<=> ! [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,[spl45_210])]) ).
fof(f478,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,[],[f248]) ).
fof(f248,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,[],[f96]) ).
fof(f96,plain,
! [X0,X1,X2] :
( ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
<=> aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1))) )
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f95]) ).
fof(f95,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/tmp/tmp.yhOMwMsgGv/Vampire---4.8_6813',mEquMod) ).
fof(f2207,plain,
spl45_209,
inference(avatar_split_clause,[],[f477,f2205]) ).
fof(f2205,plain,
( spl45_209
<=> ! [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,[spl45_209])]) ).
fof(f477,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,[],[f248]) ).
fof(f2203,plain,
spl45_208,
inference(avatar_split_clause,[],[f445,f2201]) ).
fof(f445,plain,
! [X2,X0,X1] :
( sP20(X0,X1,X2)
| sdteqdtlpzmzozddtrp0(sK42(X0,X1,X2),X1,X0)
| aElementOf0(sK42(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f233]) ).
fof(f2199,plain,
( spl45_207
| ~ spl45_15
| ~ spl45_83 ),
inference(avatar_split_clause,[],[f993,f931,f554,f2196]) ).
fof(f2196,plain,
( spl45_207
<=> sz00 = sdtpldt0(smndt0(sK26),sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_207])]) ).
fof(f993,plain,
( sz00 = sdtpldt0(smndt0(sK26),sK26)
| ~ spl45_15
| ~ spl45_83 ),
inference(resolution,[],[f932,f556]) ).
fof(f2194,plain,
spl45_206,
inference(avatar_split_clause,[],[f420,f2192]) ).
fof(f420,plain,
! [X0,X1] :
( sP16(X0,X1)
| aElementOf0(sK36(X0,X1),X0)
| ~ aInteger0(sK36(X0,X1))
| ~ aElementOf0(sK36(X0,X1),X1)
| ~ aSet0(X1) ),
inference(cnf_transformation,[],[f213]) ).
fof(f213,plain,
! [X0,X1] :
( ( sP16(X0,X1)
| ( ( aElementOf0(sK36(X0,X1),X0)
| ~ aInteger0(sK36(X0,X1))
| ~ aElementOf0(sK36(X0,X1),X1) )
& ( ( ~ aElementOf0(sK36(X0,X1),X0)
& aInteger0(sK36(X0,X1)) )
| aElementOf0(sK36(X0,X1),X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X1)
| aElementOf0(X3,X0)
| ~ aInteger0(X3) )
& ( ( ~ aElementOf0(X3,X0)
& aInteger0(X3) )
| ~ aElementOf0(X3,X1) ) )
& aSet0(X1) )
| ~ sP16(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK36])],[f211,f212]) ).
fof(f212,plain,
! [X0,X1] :
( ? [X2] :
( ( aElementOf0(X2,X0)
| ~ aInteger0(X2)
| ~ aElementOf0(X2,X1) )
& ( ( ~ aElementOf0(X2,X0)
& aInteger0(X2) )
| aElementOf0(X2,X1) ) )
=> ( ( aElementOf0(sK36(X0,X1),X0)
| ~ aInteger0(sK36(X0,X1))
| ~ aElementOf0(sK36(X0,X1),X1) )
& ( ( ~ aElementOf0(sK36(X0,X1),X0)
& aInteger0(sK36(X0,X1)) )
| aElementOf0(sK36(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f211,plain,
! [X0,X1] :
( ( sP16(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) )
| ~ sP16(X0,X1) ) ),
inference(rectify,[],[f210]) ).
fof(f210,plain,
! [X0,X1] :
( ( sP16(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) )
| ~ sP16(X0,X1) ) ),
inference(flattening,[],[f209]) ).
fof(f209,plain,
! [X0,X1] :
( ( sP16(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) )
| ~ sP16(X0,X1) ) ),
inference(nnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0,X1] :
( sP16(X0,X1)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ( ~ aElementOf0(X2,X0)
& aInteger0(X2) ) )
& aSet0(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f2126,plain,
spl45_205,
inference(avatar_split_clause,[],[f480,f2124]) ).
fof(f480,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X0,X1),X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0,X1,X2] :
( sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X0,X1),X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f99]) ).
fof(f99,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/tmp/tmp.yhOMwMsgGv/Vampire---4.8_6813',mMulAsso) ).
fof(f2122,plain,
spl45_204,
inference(avatar_split_clause,[],[f479,f2120]) ).
fof(f479,plain,
! [X2,X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0,X1,X2] :
( sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f97]) ).
fof(f97,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/tmp/tmp.yhOMwMsgGv/Vampire---4.8_6813',mAddAsso) ).
fof(f2118,plain,
spl45_203,
inference(avatar_split_clause,[],[f476,f2116]) ).
fof(f2116,plain,
( spl45_203
<=> ! [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,[spl45_203])]) ).
fof(f476,plain,
! [X2,X0,X1] :
( sdteqdtlpzmzozddtrp0(X1,X0,X2)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0,X1,X2] :
( sdteqdtlpzmzozddtrp0(X1,X0,X2)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f93]) ).
fof(f93,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/tmp/tmp.yhOMwMsgGv/Vampire---4.8_6813',mEquModSym) ).
fof(f2114,plain,
( spl45_202
| ~ spl45_15
| ~ spl45_82 ),
inference(avatar_split_clause,[],[f986,f927,f554,f2111]) ).
fof(f2111,plain,
( spl45_202
<=> sz00 = sdtpldt0(sK26,smndt0(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_202])]) ).
fof(f986,plain,
( sz00 = sdtpldt0(sK26,smndt0(sK26))
| ~ spl45_15
| ~ spl45_82 ),
inference(resolution,[],[f928,f556]) ).
fof(f2109,plain,
spl45_201,
inference(avatar_split_clause,[],[f475,f2107]) ).
fof(f2107,plain,
( spl45_201
<=> ! [X2,X0,X1] :
( sdtbsmnsldt0(X0,X1) = X2
| ~ sP23(X1,X0,X2)
| ~ aSet0(X2)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_201])]) ).
fof(f475,plain,
! [X2,X0,X1] :
( sdtbsmnsldt0(X0,X1) = X2
| ~ sP23(X1,X0,X2)
| ~ aSet0(X2)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[],[f247]) ).
fof(f247,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtbsmnsldt0(X0,X1) = X2
| ~ sP23(X1,X0,X2)
| ~ aSet0(X2) )
& ( ( sP23(X1,X0,X2)
& aSet0(X2) )
| sdtbsmnsldt0(X0,X1) != X2 ) )
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(flattening,[],[f246]) ).
fof(f246,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtbsmnsldt0(X0,X1) = X2
| ~ sP23(X1,X0,X2)
| ~ aSet0(X2) )
& ( ( sP23(X1,X0,X2)
& aSet0(X2) )
| sdtbsmnsldt0(X0,X1) != X2 ) )
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(nnf_transformation,[],[f139]) ).
fof(f139,plain,
! [X0,X1] :
( ! [X2] :
( sdtbsmnsldt0(X0,X1) = X2
<=> ( sP23(X1,X0,X2)
& aSet0(X2) ) )
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(definition_folding,[],[f92,f138]) ).
fof(f92,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,[],[f91]) ).
fof(f91,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/tmp/tmp.yhOMwMsgGv/Vampire---4.8_6813',mUnion) ).
fof(f2105,plain,
spl45_200,
inference(avatar_split_clause,[],[f464,f2103]) ).
fof(f2103,plain,
( spl45_200
<=> ! [X2,X0,X1] :
( sdtslmnbsdt0(X0,X1) = X2
| ~ sP22(X1,X0,X2)
| ~ aSet0(X2)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_200])]) ).
fof(f464,plain,
! [X2,X0,X1] :
( sdtslmnbsdt0(X0,X1) = X2
| ~ sP22(X1,X0,X2)
| ~ aSet0(X2)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[],[f240]) ).
fof(f240,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtslmnbsdt0(X0,X1) = X2
| ~ sP22(X1,X0,X2)
| ~ aSet0(X2) )
& ( ( sP22(X1,X0,X2)
& aSet0(X2) )
| sdtslmnbsdt0(X0,X1) != X2 ) )
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(flattening,[],[f239]) ).
fof(f239,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtslmnbsdt0(X0,X1) = X2
| ~ sP22(X1,X0,X2)
| ~ aSet0(X2) )
& ( ( sP22(X1,X0,X2)
& aSet0(X2) )
| sdtslmnbsdt0(X0,X1) != X2 ) )
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(nnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0,X1] :
( ! [X2] :
( sdtslmnbsdt0(X0,X1) = X2
<=> ( sP22(X1,X0,X2)
& aSet0(X2) ) )
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(definition_folding,[],[f90,f136]) ).
fof(f90,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,[],[f89]) ).
fof(f89,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/tmp/tmp.yhOMwMsgGv/Vampire---4.8_6813',mIntersection) ).
fof(f2101,plain,
spl45_199,
inference(avatar_split_clause,[],[f444,f2099]) ).
fof(f444,plain,
! [X2,X0,X1] :
( sP20(X0,X1,X2)
| aInteger0(sK42(X0,X1,X2))
| aElementOf0(sK42(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f233]) ).
fof(f1971,plain,
spl45_198,
inference(avatar_split_clause,[],[f460,f1969]) ).
fof(f460,plain,
! [X2,X0,X1] :
( sP22(X0,X1,X2)
| aElementOf0(sK43(X0,X1,X2),X0)
| aElementOf0(sK43(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f238]) ).
fof(f1967,plain,
spl45_197,
inference(avatar_split_clause,[],[f459,f1965]) ).
fof(f459,plain,
! [X2,X0,X1] :
( sP22(X0,X1,X2)
| aElementOf0(sK43(X0,X1,X2),X1)
| aElementOf0(sK43(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f238]) ).
fof(f1962,plain,
spl45_196,
inference(avatar_split_clause,[],[f301,f1960]) ).
fof(f1960,plain,
( spl45_196
<=> ! [X2,X0,X1] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ~ aDivisorOf0(X0,sdtpldt0(X2,smndt0(X1)))
| ~ aInteger0(X2)
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_196])]) ).
fof(f301,plain,
! [X2,X0,X1] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ~ aDivisorOf0(X0,sdtpldt0(X2,smndt0(X1)))
| ~ aInteger0(X2)
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f173]) ).
fof(f1958,plain,
spl45_195,
inference(avatar_split_clause,[],[f285,f1956]) ).
fof(f1956,plain,
( spl45_195
<=> ! [X2,X0,X1] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ~ aDivisorOf0(X0,sdtpldt0(X2,smndt0(X1)))
| ~ aInteger0(X2)
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_195])]) ).
fof(f285,plain,
! [X2,X0,X1] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ~ aDivisorOf0(X0,sdtpldt0(X2,smndt0(X1)))
| ~ aInteger0(X2)
| ~ sP10(X0,X1) ),
inference(cnf_transformation,[],[f161]) ).
fof(f1954,plain,
spl45_194,
inference(avatar_split_clause,[],[f253,f1952]) ).
fof(f1952,plain,
( spl45_194
<=> ! [X2,X0,X1] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ~ aDivisorOf0(X0,sdtpldt0(X2,smndt0(X1)))
| ~ aInteger0(X2)
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_194])]) ).
fof(f253,plain,
! [X2,X0,X1] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ~ aDivisorOf0(X0,sdtpldt0(X2,smndt0(X1)))
| ~ aInteger0(X2)
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f145]) ).
fof(f1943,plain,
spl45_193,
inference(avatar_split_clause,[],[f371,f1941]) ).
fof(f371,plain,
! [X0] :
( aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aElementOf0(X0,stldt0(xB))
| ~ aElementOf0(X0,stldt0(xA))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f184]) ).
fof(f184,plain,
( 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) )
& ( ( aElementOf0(X0,stldt0(xB))
& aElementOf0(X0,stldt0(xA))
& aInteger0(X0) )
| ~ aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB))) ) )
& ! [X1] :
( ( aElementOf0(X1,stldt0(xB))
| aElementOf0(X1,xB)
| ~ aInteger0(X1) )
& ( ( ~ aElementOf0(X1,xB)
& aInteger0(X1) )
| ~ aElementOf0(X1,stldt0(xB)) ) )
& ! [X2] :
( ( aElementOf0(X2,stldt0(xA))
| aElementOf0(X2,xA)
| ~ aInteger0(X2) )
& ( ( ~ aElementOf0(X2,xA)
& aInteger0(X2) )
| ~ aElementOf0(X2,stldt0(xA)) ) )
& ! [X3] :
( ( aElementOf0(X3,stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0(X3,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(X3) )
& ( ( ~ aElementOf0(X3,sdtbsmnsldt0(xA,xB))
& aInteger0(X3) )
| ~ aElementOf0(X3,stldt0(sdtbsmnsldt0(xA,xB))) ) )
& aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
& ! [X4] :
( ( aElementOf0(X4,sdtbsmnsldt0(xA,xB))
| ( ~ aElementOf0(X4,xB)
& ~ aElementOf0(X4,xA) )
| ~ aInteger0(X4) )
& ( ( ( aElementOf0(X4,xB)
| aElementOf0(X4,xA) )
& aInteger0(X4) )
| ~ aElementOf0(X4,sdtbsmnsldt0(xA,xB)) ) )
& aSet0(sdtbsmnsldt0(xA,xB))
& aSubsetOf0(stldt0(xB),cS1395)
& ! [X5] :
( aElementOf0(X5,cS1395)
| ~ aElementOf0(X5,stldt0(xB)) )
& ! [X6] :
( ( aElementOf0(X6,cS1395)
| ~ aInteger0(X6) )
& ( aInteger0(X6)
| ~ aElementOf0(X6,cS1395) ) )
& aSet0(cS1395)
& ! [X7] :
( ( aElementOf0(X7,stldt0(xB))
| aElementOf0(X7,xB)
| ~ aInteger0(X7) )
& ( ( ~ aElementOf0(X7,xB)
& aInteger0(X7) )
| ~ aElementOf0(X7,stldt0(xB)) ) )
& aSet0(stldt0(xB))
& aSubsetOf0(stldt0(xA),cS1395)
& ! [X8] :
( aElementOf0(X8,cS1395)
| ~ aElementOf0(X8,stldt0(xA)) )
& ! [X9] :
( ( aElementOf0(X9,cS1395)
| ~ aInteger0(X9) )
& ( aInteger0(X9)
| ~ aElementOf0(X9,cS1395) ) )
& aSet0(cS1395)
& ! [X10] :
( ( aElementOf0(X10,stldt0(xA))
| aElementOf0(X10,xA)
| ~ aInteger0(X10) )
& ( ( ~ aElementOf0(X10,xA)
& aInteger0(X10) )
| ~ aElementOf0(X10,stldt0(xA)) ) )
& aSet0(stldt0(xA)) ),
inference(flattening,[],[f183]) ).
fof(f183,plain,
( 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) )
& ( ( aElementOf0(X0,stldt0(xB))
& aElementOf0(X0,stldt0(xA))
& aInteger0(X0) )
| ~ aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB))) ) )
& ! [X1] :
( ( aElementOf0(X1,stldt0(xB))
| aElementOf0(X1,xB)
| ~ aInteger0(X1) )
& ( ( ~ aElementOf0(X1,xB)
& aInteger0(X1) )
| ~ aElementOf0(X1,stldt0(xB)) ) )
& ! [X2] :
( ( aElementOf0(X2,stldt0(xA))
| aElementOf0(X2,xA)
| ~ aInteger0(X2) )
& ( ( ~ aElementOf0(X2,xA)
& aInteger0(X2) )
| ~ aElementOf0(X2,stldt0(xA)) ) )
& ! [X3] :
( ( aElementOf0(X3,stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0(X3,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(X3) )
& ( ( ~ aElementOf0(X3,sdtbsmnsldt0(xA,xB))
& aInteger0(X3) )
| ~ aElementOf0(X3,stldt0(sdtbsmnsldt0(xA,xB))) ) )
& aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
& ! [X4] :
( ( aElementOf0(X4,sdtbsmnsldt0(xA,xB))
| ( ~ aElementOf0(X4,xB)
& ~ aElementOf0(X4,xA) )
| ~ aInteger0(X4) )
& ( ( ( aElementOf0(X4,xB)
| aElementOf0(X4,xA) )
& aInteger0(X4) )
| ~ aElementOf0(X4,sdtbsmnsldt0(xA,xB)) ) )
& aSet0(sdtbsmnsldt0(xA,xB))
& aSubsetOf0(stldt0(xB),cS1395)
& ! [X5] :
( aElementOf0(X5,cS1395)
| ~ aElementOf0(X5,stldt0(xB)) )
& ! [X6] :
( ( aElementOf0(X6,cS1395)
| ~ aInteger0(X6) )
& ( aInteger0(X6)
| ~ aElementOf0(X6,cS1395) ) )
& aSet0(cS1395)
& ! [X7] :
( ( aElementOf0(X7,stldt0(xB))
| aElementOf0(X7,xB)
| ~ aInteger0(X7) )
& ( ( ~ aElementOf0(X7,xB)
& aInteger0(X7) )
| ~ aElementOf0(X7,stldt0(xB)) ) )
& aSet0(stldt0(xB))
& aSubsetOf0(stldt0(xA),cS1395)
& ! [X8] :
( aElementOf0(X8,cS1395)
| ~ aElementOf0(X8,stldt0(xA)) )
& ! [X9] :
( ( aElementOf0(X9,cS1395)
| ~ aInteger0(X9) )
& ( aInteger0(X9)
| ~ aElementOf0(X9,cS1395) ) )
& aSet0(cS1395)
& ! [X10] :
( ( aElementOf0(X10,stldt0(xA))
| aElementOf0(X10,xA)
| ~ aInteger0(X10) )
& ( ( ~ aElementOf0(X10,xA)
& aInteger0(X10) )
| ~ aElementOf0(X10,stldt0(xA)) ) )
& aSet0(stldt0(xA)) ),
inference(nnf_transformation,[],[f56]) ).
fof(f56,plain,
( 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) ) )
& ! [X1] :
( aElementOf0(X1,stldt0(xB))
<=> ( ~ aElementOf0(X1,xB)
& aInteger0(X1) ) )
& ! [X2] :
( aElementOf0(X2,stldt0(xA))
<=> ( ~ aElementOf0(X2,xA)
& aInteger0(X2) ) )
& ! [X3] :
( aElementOf0(X3,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( ~ aElementOf0(X3,sdtbsmnsldt0(xA,xB))
& aInteger0(X3) ) )
& aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
& ! [X4] :
( aElementOf0(X4,sdtbsmnsldt0(xA,xB))
<=> ( ( aElementOf0(X4,xB)
| aElementOf0(X4,xA) )
& aInteger0(X4) ) )
& aSet0(sdtbsmnsldt0(xA,xB))
& aSubsetOf0(stldt0(xB),cS1395)
& ! [X5] :
( aElementOf0(X5,cS1395)
| ~ aElementOf0(X5,stldt0(xB)) )
& ! [X6] :
( aElementOf0(X6,cS1395)
<=> aInteger0(X6) )
& aSet0(cS1395)
& ! [X7] :
( aElementOf0(X7,stldt0(xB))
<=> ( ~ aElementOf0(X7,xB)
& aInteger0(X7) ) )
& aSet0(stldt0(xB))
& aSubsetOf0(stldt0(xA),cS1395)
& ! [X8] :
( aElementOf0(X8,cS1395)
| ~ aElementOf0(X8,stldt0(xA)) )
& ! [X9] :
( aElementOf0(X9,cS1395)
<=> aInteger0(X9) )
& aSet0(cS1395)
& ! [X10] :
( aElementOf0(X10,stldt0(xA))
<=> ( ~ aElementOf0(X10,xA)
& aInteger0(X10) ) )
& aSet0(stldt0(xA)) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,plain,
( 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) ) )
& ! [X1] :
( aElementOf0(X1,stldt0(xB))
<=> ( ~ aElementOf0(X1,xB)
& aInteger0(X1) ) )
& ! [X2] :
( aElementOf0(X2,stldt0(xA))
<=> ( ~ aElementOf0(X2,xA)
& aInteger0(X2) ) )
& ! [X3] :
( aElementOf0(X3,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( ~ aElementOf0(X3,sdtbsmnsldt0(xA,xB))
& aInteger0(X3) ) )
& aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
& ! [X4] :
( aElementOf0(X4,sdtbsmnsldt0(xA,xB))
<=> ( ( aElementOf0(X4,xB)
| aElementOf0(X4,xA) )
& aInteger0(X4) ) )
& aSet0(sdtbsmnsldt0(xA,xB))
& aSubsetOf0(stldt0(xB),cS1395)
& ! [X5] :
( aElementOf0(X5,stldt0(xB))
=> aElementOf0(X5,cS1395) )
& ! [X6] :
( aElementOf0(X6,cS1395)
<=> aInteger0(X6) )
& aSet0(cS1395)
& ! [X7] :
( aElementOf0(X7,stldt0(xB))
<=> ( ~ aElementOf0(X7,xB)
& aInteger0(X7) ) )
& aSet0(stldt0(xB))
& aSubsetOf0(stldt0(xA),cS1395)
& ! [X8] :
( aElementOf0(X8,stldt0(xA))
=> aElementOf0(X8,cS1395) )
& ! [X9] :
( aElementOf0(X9,cS1395)
<=> aInteger0(X9) )
& aSet0(cS1395)
& ! [X10] :
( aElementOf0(X10,stldt0(xA))
<=> ( ~ aElementOf0(X10,xA)
& aInteger0(X10) ) )
& aSet0(stldt0(xA)) ),
inference(rectify,[],[f40]) ).
fof(f40,axiom,
( 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) ) )
& ! [X0] :
( aElementOf0(X0,stldt0(xA))
<=> ( ~ aElementOf0(X0,xA)
& aInteger0(X0) ) )
& ! [X0] :
( aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( ~ aElementOf0(X0,sdtbsmnsldt0(xA,xB))
& aInteger0(X0) ) )
& 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)
& ! [X0] :
( aElementOf0(X0,stldt0(xB))
=> aElementOf0(X0,cS1395) )
& ! [X0] :
( aElementOf0(X0,cS1395)
<=> aInteger0(X0) )
& aSet0(cS1395)
& ! [X0] :
( aElementOf0(X0,stldt0(xB))
<=> ( ~ aElementOf0(X0,xB)
& aInteger0(X0) ) )
& aSet0(stldt0(xB))
& aSubsetOf0(stldt0(xA),cS1395)
& ! [X0] :
( aElementOf0(X0,stldt0(xA))
=> aElementOf0(X0,cS1395) )
& ! [X0] :
( aElementOf0(X0,cS1395)
<=> aInteger0(X0) )
& aSet0(cS1395)
& ! [X0] :
( aElementOf0(X0,stldt0(xA))
<=> ( ~ aElementOf0(X0,xA)
& aInteger0(X0) ) )
& aSet0(stldt0(xA)) ),
file('/export/starexec/sandbox2/tmp/tmp.yhOMwMsgGv/Vampire---4.8_6813',m__1883) ).
fof(f1839,plain,
spl45_192,
inference(avatar_split_clause,[],[f474,f1837]) ).
fof(f474,plain,
! [X2,X0,X1] :
( sP23(X1,X0,X2)
| sdtbsmnsldt0(X0,X1) != X2
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[],[f247]) ).
fof(f1835,plain,
spl45_191,
inference(avatar_split_clause,[],[f469,f1833]) ).
fof(f469,plain,
! [X2,X0,X1] :
( sP23(X0,X1,X2)
| aInteger0(sK44(X0,X1,X2))
| aElementOf0(sK44(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f245]) ).
fof(f1831,plain,
spl45_190,
inference(avatar_split_clause,[],[f463,f1829]) ).
fof(f463,plain,
! [X2,X0,X1] :
( sP22(X1,X0,X2)
| sdtslmnbsdt0(X0,X1) != X2
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[],[f240]) ).
fof(f1827,plain,
spl45_189,
inference(avatar_split_clause,[],[f458,f1825]) ).
fof(f458,plain,
! [X2,X0,X1] :
( sP22(X0,X1,X2)
| aInteger0(sK43(X0,X1,X2))
| aElementOf0(sK43(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f238]) ).
fof(f1823,plain,
spl45_188,
inference(avatar_split_clause,[],[f457,f1821]) ).
fof(f1821,plain,
( spl45_188
<=> ! [X4,X0,X2,X1] :
( aElementOf0(X4,X2)
| ~ aElementOf0(X4,X0)
| ~ aElementOf0(X4,X1)
| ~ aInteger0(X4)
| ~ sP22(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_188])]) ).
fof(f457,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElementOf0(X4,X0)
| ~ aElementOf0(X4,X1)
| ~ aInteger0(X4)
| ~ sP22(X0,X1,X2) ),
inference(cnf_transformation,[],[f238]) ).
fof(f1819,plain,
spl45_187,
inference(avatar_split_clause,[],[f452,f1817]) ).
fof(f1817,plain,
( spl45_187
<=> ! [X0,X1] :
( sz00 = X1
| sz00 = X0
| sz00 != sdtasdt0(X0,X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_187])]) ).
fof(f452,plain,
! [X0,X1] :
( sz00 = X1
| sz00 = X0
| sz00 != sdtasdt0(X0,X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0,X1] :
( sz00 = X1
| sz00 = X0
| sz00 != sdtasdt0(X0,X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f85]) ).
fof(f85,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/tmp/tmp.yhOMwMsgGv/Vampire---4.8_6813',mZeroDiv) ).
fof(f1815,plain,
spl45_186,
inference(avatar_split_clause,[],[f431,f1813]) ).
fof(f1813,plain,
( spl45_186
<=> ! [X0,X1] :
( sP18(X0,X1)
| aElementOf0(sK37(X0,X1),sK38(X0,X1))
| aElementOf0(sK37(X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_186])]) ).
fof(f431,plain,
! [X0,X1] :
( sP18(X0,X1)
| aElementOf0(sK37(X0,X1),sK38(X0,X1))
| aElementOf0(sK37(X0,X1),X1) ),
inference(cnf_transformation,[],[f223]) ).
fof(f1811,plain,
spl45_185,
inference(avatar_split_clause,[],[f419,f1809]) ).
fof(f419,plain,
! [X0,X1] :
( sP16(X0,X1)
| ~ aElementOf0(sK36(X0,X1),X0)
| aElementOf0(sK36(X0,X1),X1)
| ~ aSet0(X1) ),
inference(cnf_transformation,[],[f213]) ).
fof(f1807,plain,
spl45_184,
inference(avatar_split_clause,[],[f396,f1805]) ).
fof(f396,plain,
! [X2,X0,X1] :
( sP12(X0,X1)
| sdtasdt0(X1,X2) != X0
| ~ aInteger0(X2)
| sz00 = X1
| ~ aInteger0(X1) ),
inference(cnf_transformation,[],[f195]) ).
fof(f195,plain,
! [X0,X1] :
( ( sP12(X0,X1)
| ! [X2] :
( sdtasdt0(X1,X2) != X0
| ~ aInteger0(X2) )
| sz00 = X1
| ~ aInteger0(X1) )
& ( ( sdtasdt0(X1,sK32(X0,X1)) = X0
& aInteger0(sK32(X0,X1))
& sz00 != X1
& aInteger0(X1) )
| ~ sP12(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK32])],[f193,f194]) ).
fof(f194,plain,
! [X0,X1] :
( ? [X3] :
( sdtasdt0(X1,X3) = X0
& aInteger0(X3) )
=> ( sdtasdt0(X1,sK32(X0,X1)) = X0
& aInteger0(sK32(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f193,plain,
! [X0,X1] :
( ( sP12(X0,X1)
| ! [X2] :
( sdtasdt0(X1,X2) != X0
| ~ aInteger0(X2) )
| sz00 = X1
| ~ aInteger0(X1) )
& ( ( ? [X3] :
( sdtasdt0(X1,X3) = X0
& aInteger0(X3) )
& sz00 != X1
& aInteger0(X1) )
| ~ sP12(X0,X1) ) ),
inference(rectify,[],[f192]) ).
fof(f192,plain,
! [X0,X1] :
( ( sP12(X0,X1)
| ! [X2] :
( sdtasdt0(X1,X2) != X0
| ~ aInteger0(X2) )
| sz00 = X1
| ~ aInteger0(X1) )
& ( ( ? [X2] :
( sdtasdt0(X1,X2) = X0
& aInteger0(X2) )
& sz00 != X1
& aInteger0(X1) )
| ~ sP12(X0,X1) ) ),
inference(flattening,[],[f191]) ).
fof(f191,plain,
! [X0,X1] :
( ( sP12(X0,X1)
| ! [X2] :
( sdtasdt0(X1,X2) != X0
| ~ aInteger0(X2) )
| sz00 = X1
| ~ aInteger0(X1) )
& ( ( ? [X2] :
( sdtasdt0(X1,X2) = X0
& aInteger0(X2) )
& sz00 != X1
& aInteger0(X1) )
| ~ sP12(X0,X1) ) ),
inference(nnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0,X1] :
( sP12(X0,X1)
<=> ( ? [X2] :
( sdtasdt0(X1,X2) = X0
& aInteger0(X2) )
& sz00 != X1
& aInteger0(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f1803,plain,
spl45_183,
inference(avatar_split_clause,[],[f308,f1801]) ).
fof(f1801,plain,
( spl45_183
<=> ! [X2,X0,X1] :
( sdtpldt0(X2,smndt0(X1)) = sdtasdt0(X0,sK30(X0,X1,X2))
| ~ sP4(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_183])]) ).
fof(f308,plain,
! [X2,X0,X1] :
( sdtpldt0(X2,smndt0(X1)) = sdtasdt0(X0,sK30(X0,X1,X2))
| ~ sP4(X0,X1,X2) ),
inference(cnf_transformation,[],[f179]) ).
fof(f179,plain,
! [X0,X1,X2] :
( ( sdtpldt0(X2,smndt0(X1)) = sdtasdt0(X0,sK30(X0,X1,X2))
& aInteger0(sK30(X0,X1,X2)) )
| ~ sP4(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK30])],[f177,f178]) ).
fof(f178,plain,
! [X0,X1,X2] :
( ? [X3] :
( sdtpldt0(X2,smndt0(X1)) = sdtasdt0(X0,X3)
& aInteger0(X3) )
=> ( sdtpldt0(X2,smndt0(X1)) = sdtasdt0(X0,sK30(X0,X1,X2))
& aInteger0(sK30(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f177,plain,
! [X0,X1,X2] :
( ? [X3] :
( sdtpldt0(X2,smndt0(X1)) = sdtasdt0(X0,X3)
& aInteger0(X3) )
| ~ sP4(X0,X1,X2) ),
inference(rectify,[],[f176]) ).
fof(f176,plain,
! [X8,X7,X10] :
( ? [X12] :
( sdtpldt0(X10,smndt0(X7)) = sdtasdt0(X8,X12)
& aInteger0(X12) )
| ~ sP4(X8,X7,X10) ),
inference(nnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X8,X7,X10] :
( ? [X12] :
( sdtpldt0(X10,smndt0(X7)) = sdtasdt0(X8,X12)
& aInteger0(X12) )
| ~ sP4(X8,X7,X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f1798,plain,
spl45_182,
inference(avatar_split_clause,[],[f305,f1796]) ).
fof(f1796,plain,
( spl45_182
<=> ! [X2,X0,X1] :
( aDivisorOf0(X0,sdtpldt0(X2,smndt0(X1)))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ~ sP5(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_182])]) ).
fof(f305,plain,
! [X2,X0,X1] :
( aDivisorOf0(X0,sdtpldt0(X2,smndt0(X1)))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ~ sP5(X0,X1,X2) ),
inference(cnf_transformation,[],[f175]) ).
fof(f175,plain,
! [X0,X1,X2] :
( ( sdteqdtlpzmzozddtrp0(X2,X1,X0)
& aDivisorOf0(X0,sdtpldt0(X2,smndt0(X1)))
& sP4(X0,X1,X2)
& aInteger0(X2) )
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ~ sP5(X0,X1,X2) ),
inference(rectify,[],[f174]) ).
fof(f174,plain,
! [X8,X7,X10] :
( ( sdteqdtlpzmzozddtrp0(X10,X7,X8)
& aDivisorOf0(X8,sdtpldt0(X10,smndt0(X7)))
& sP4(X8,X7,X10)
& aInteger0(X10) )
| ~ aElementOf0(X10,szAzrzSzezqlpdtcmdtrp0(X7,X8))
| ~ sP5(X8,X7,X10) ),
inference(nnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X8,X7,X10] :
( ( sdteqdtlpzmzozddtrp0(X10,X7,X8)
& aDivisorOf0(X8,sdtpldt0(X10,smndt0(X7)))
& sP4(X8,X7,X10)
& aInteger0(X10) )
| ~ aElementOf0(X10,szAzrzSzezqlpdtcmdtrp0(X7,X8))
| ~ sP5(X8,X7,X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f1794,plain,
spl45_181,
inference(avatar_split_clause,[],[f292,f1792]) ).
fof(f1792,plain,
( spl45_181
<=> ! [X2,X0,X1] :
( sdtpldt0(X2,smndt0(X1)) = sdtasdt0(X0,sK28(X0,X1,X2))
| ~ sP8(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_181])]) ).
fof(f292,plain,
! [X2,X0,X1] :
( sdtpldt0(X2,smndt0(X1)) = sdtasdt0(X0,sK28(X0,X1,X2))
| ~ sP8(X0,X1,X2) ),
inference(cnf_transformation,[],[f167]) ).
fof(f167,plain,
! [X0,X1,X2] :
( ( sdtpldt0(X2,smndt0(X1)) = sdtasdt0(X0,sK28(X0,X1,X2))
& aInteger0(sK28(X0,X1,X2)) )
| ~ sP8(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK28])],[f165,f166]) ).
fof(f166,plain,
! [X0,X1,X2] :
( ? [X3] :
( sdtpldt0(X2,smndt0(X1)) = sdtasdt0(X0,X3)
& aInteger0(X3) )
=> ( sdtpldt0(X2,smndt0(X1)) = sdtasdt0(X0,sK28(X0,X1,X2))
& aInteger0(sK28(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f165,plain,
! [X0,X1,X2] :
( ? [X3] :
( sdtpldt0(X2,smndt0(X1)) = sdtasdt0(X0,X3)
& aInteger0(X3) )
| ~ sP8(X0,X1,X2) ),
inference(rectify,[],[f164]) ).
fof(f164,plain,
! [X1,X0,X3] :
( ? [X5] :
( sdtpldt0(X3,smndt0(X0)) = sdtasdt0(X1,X5)
& aInteger0(X5) )
| ~ sP8(X1,X0,X3) ),
inference(nnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X1,X0,X3] :
( ? [X5] :
( sdtpldt0(X3,smndt0(X0)) = sdtasdt0(X1,X5)
& aInteger0(X5) )
| ~ sP8(X1,X0,X3) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f1790,plain,
spl45_180,
inference(avatar_split_clause,[],[f289,f1788]) ).
fof(f1788,plain,
( spl45_180
<=> ! [X2,X0,X1] :
( aDivisorOf0(X0,sdtpldt0(X2,smndt0(X1)))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ~ sP9(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_180])]) ).
fof(f289,plain,
! [X2,X0,X1] :
( aDivisorOf0(X0,sdtpldt0(X2,smndt0(X1)))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ~ sP9(X0,X1,X2) ),
inference(cnf_transformation,[],[f163]) ).
fof(f163,plain,
! [X0,X1,X2] :
( ( sdteqdtlpzmzozddtrp0(X2,X1,X0)
& aDivisorOf0(X0,sdtpldt0(X2,smndt0(X1)))
& sP8(X0,X1,X2)
& aInteger0(X2) )
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ~ sP9(X0,X1,X2) ),
inference(rectify,[],[f162]) ).
fof(f162,plain,
! [X1,X0,X3] :
( ( sdteqdtlpzmzozddtrp0(X3,X0,X1)
& aDivisorOf0(X1,sdtpldt0(X3,smndt0(X0)))
& sP8(X1,X0,X3)
& aInteger0(X3) )
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| ~ sP9(X1,X0,X3) ),
inference(nnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X1,X0,X3] :
( ( sdteqdtlpzmzozddtrp0(X3,X0,X1)
& aDivisorOf0(X1,sdtpldt0(X3,smndt0(X0)))
& sP8(X1,X0,X3)
& aInteger0(X3) )
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| ~ sP9(X1,X0,X3) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f1786,plain,
spl45_179,
inference(avatar_split_clause,[],[f260,f1784]) ).
fof(f1784,plain,
( spl45_179
<=> ! [X2,X0,X1] :
( sdtpldt0(X2,smndt0(X1)) = sdtasdt0(X0,sK25(X0,X1,X2))
| ~ sP0(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_179])]) ).
fof(f260,plain,
! [X2,X0,X1] :
( sdtpldt0(X2,smndt0(X1)) = sdtasdt0(X0,sK25(X0,X1,X2))
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
! [X0,X1,X2] :
( ( sdtpldt0(X2,smndt0(X1)) = sdtasdt0(X0,sK25(X0,X1,X2))
& aInteger0(sK25(X0,X1,X2)) )
| ~ sP0(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25])],[f149,f150]) ).
fof(f150,plain,
! [X0,X1,X2] :
( ? [X3] :
( sdtpldt0(X2,smndt0(X1)) = sdtasdt0(X0,X3)
& aInteger0(X3) )
=> ( sdtpldt0(X2,smndt0(X1)) = sdtasdt0(X0,sK25(X0,X1,X2))
& aInteger0(sK25(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f149,plain,
! [X0,X1,X2] :
( ? [X3] :
( sdtpldt0(X2,smndt0(X1)) = sdtasdt0(X0,X3)
& aInteger0(X3) )
| ~ sP0(X0,X1,X2) ),
inference(rectify,[],[f148]) ).
fof(f148,plain,
! [X3,X2,X4] :
( ? [X6] :
( sdtpldt0(X4,smndt0(X2)) = sdtasdt0(X3,X6)
& aInteger0(X6) )
| ~ sP0(X3,X2,X4) ),
inference(nnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X3,X2,X4] :
( ? [X6] :
( sdtpldt0(X4,smndt0(X2)) = sdtasdt0(X3,X6)
& aInteger0(X6) )
| ~ sP0(X3,X2,X4) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f1782,plain,
spl45_178,
inference(avatar_split_clause,[],[f257,f1780]) ).
fof(f1780,plain,
( spl45_178
<=> ! [X2,X0,X1] :
( aDivisorOf0(X0,sdtpldt0(X2,smndt0(X1)))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ~ sP1(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_178])]) ).
fof(f257,plain,
! [X2,X0,X1] :
( aDivisorOf0(X0,sdtpldt0(X2,smndt0(X1)))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ~ sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
! [X0,X1,X2] :
( ( sdteqdtlpzmzozddtrp0(X2,X1,X0)
& aDivisorOf0(X0,sdtpldt0(X2,smndt0(X1)))
& sP0(X0,X1,X2)
& aInteger0(X2) )
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ~ sP1(X0,X1,X2) ),
inference(rectify,[],[f146]) ).
fof(f146,plain,
! [X3,X2,X4] :
( ( sdteqdtlpzmzozddtrp0(X4,X2,X3)
& aDivisorOf0(X3,sdtpldt0(X4,smndt0(X2)))
& sP0(X3,X2,X4)
& aInteger0(X4) )
| ~ aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3))
| ~ sP1(X3,X2,X4) ),
inference(nnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X3,X2,X4] :
( ( sdteqdtlpzmzozddtrp0(X4,X2,X3)
& aDivisorOf0(X3,sdtpldt0(X4,smndt0(X2)))
& sP0(X3,X2,X4)
& aInteger0(X4) )
| ~ aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3))
| ~ sP1(X3,X2,X4) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f1704,plain,
spl45_177,
inference(avatar_split_clause,[],[f453,f1702]) ).
fof(f453,plain,
! [X0,X1] :
( isOpen0(sdtslmnbsdt0(X0,X1))
| ~ isOpen0(X1)
| ~ isOpen0(X0)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0,X1] :
( isOpen0(sdtslmnbsdt0(X0,X1))
| ~ isOpen0(X1)
| ~ isOpen0(X0)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(flattening,[],[f87]) ).
fof(f87,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/tmp/tmp.yhOMwMsgGv/Vampire---4.8_6813',mInterOpen) ).
fof(f1700,plain,
spl45_176,
inference(avatar_split_clause,[],[f428,f1698]) ).
fof(f1698,plain,
( spl45_176
<=> ! [X5,X0,X6,X1] :
( aElementOf0(X5,X1)
| ~ aElementOf0(X5,X6)
| ~ aElementOf0(X6,X0)
| ~ aInteger0(X5)
| ~ sP18(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_176])]) ).
fof(f428,plain,
! [X0,X1,X6,X5] :
( aElementOf0(X5,X1)
| ~ aElementOf0(X5,X6)
| ~ aElementOf0(X6,X0)
| ~ aInteger0(X5)
| ~ sP18(X0,X1) ),
inference(cnf_transformation,[],[f223]) ).
fof(f1696,plain,
spl45_175,
inference(avatar_split_clause,[],[f418,f1694]) ).
fof(f418,plain,
! [X0,X1] :
( sP16(X0,X1)
| aInteger0(sK36(X0,X1))
| aElementOf0(sK36(X0,X1),X1)
| ~ aSet0(X1) ),
inference(cnf_transformation,[],[f213]) ).
fof(f1692,plain,
spl45_174,
inference(avatar_split_clause,[],[f302,f1690]) ).
fof(f302,plain,
! [X2,X0,X1] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ~ sdteqdtlpzmzozddtrp0(X2,X1,X0)
| ~ aInteger0(X2)
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f173]) ).
fof(f1688,plain,
spl45_173,
inference(avatar_split_clause,[],[f286,f1686]) ).
fof(f286,plain,
! [X2,X0,X1] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ~ sdteqdtlpzmzozddtrp0(X2,X1,X0)
| ~ aInteger0(X2)
| ~ sP10(X0,X1) ),
inference(cnf_transformation,[],[f161]) ).
fof(f1684,plain,
spl45_172,
inference(avatar_split_clause,[],[f254,f1682]) ).
fof(f254,plain,
! [X2,X0,X1] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ~ sdteqdtlpzmzozddtrp0(X2,X1,X0)
| ~ aInteger0(X2)
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f145]) ).
fof(f1581,plain,
( spl45_171
| ~ spl45_51
| ~ spl45_129 ),
inference(avatar_split_clause,[],[f1535,f1277,f736,f1578]) ).
fof(f1277,plain,
( spl45_129
<=> aElementOf0(sK26,stldt0(xB)) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_129])]) ).
fof(f1535,plain,
( sP11(sK26)
| ~ spl45_51
| ~ spl45_129 ),
inference(resolution,[],[f1279,f737]) ).
fof(f1279,plain,
( aElementOf0(sK26,stldt0(xB))
| ~ spl45_129 ),
inference(avatar_component_clause,[],[f1277]) ).
fof(f1576,plain,
spl45_170,
inference(avatar_split_clause,[],[f473,f1574]) ).
fof(f473,plain,
! [X2,X0,X1] :
( aSet0(X2)
| sdtbsmnsldt0(X0,X1) != X2
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[],[f247]) ).
fof(f1572,plain,
spl45_169,
inference(avatar_split_clause,[],[f466,f1570]) ).
fof(f1570,plain,
( spl45_169
<=> ! [X2,X4,X0,X1] :
( aElementOf0(X4,X0)
| aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ sP23(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_169])]) ).
fof(f466,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X0)
| aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ sP23(X0,X1,X2) ),
inference(cnf_transformation,[],[f245]) ).
fof(f1568,plain,
spl45_168,
inference(avatar_split_clause,[],[f462,f1566]) ).
fof(f462,plain,
! [X2,X0,X1] :
( aSet0(X2)
| sdtslmnbsdt0(X0,X1) != X2
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[],[f240]) ).
fof(f1564,plain,
spl45_167,
inference(avatar_split_clause,[],[f443,f1562]) ).
fof(f1562,plain,
( spl45_167
<=> ! [X4,X0,X2,X1] :
( aElementOf0(X4,X2)
| ~ sdteqdtlpzmzozddtrp0(X4,X1,X0)
| ~ aInteger0(X4)
| ~ sP20(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_167])]) ).
fof(f443,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| ~ sdteqdtlpzmzozddtrp0(X4,X1,X0)
| ~ aInteger0(X4)
| ~ sP20(X0,X1,X2) ),
inference(cnf_transformation,[],[f233]) ).
fof(f1560,plain,
spl45_166,
inference(avatar_split_clause,[],[f430,f1558]) ).
fof(f430,plain,
! [X0,X1] :
( sP18(X0,X1)
| aElementOf0(sK38(X0,X1),X0)
| aElementOf0(sK37(X0,X1),X1) ),
inference(cnf_transformation,[],[f223]) ).
fof(f1556,plain,
spl45_165,
inference(avatar_split_clause,[],[f410,f1554]) ).
fof(f1554,plain,
( spl45_165
<=> ! [X2,X0] :
( sP14(X0)
| ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sK34(X0),X2),X0)
| sz00 = X2
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_165])]) ).
fof(f410,plain,
! [X2,X0] :
( sP14(X0)
| ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sK34(X0),X2),X0)
| sz00 = X2
| ~ aInteger0(X2) ),
inference(cnf_transformation,[],[f207]) ).
fof(f207,plain,
! [X0] :
( ( sP14(X0)
| ( ! [X2] :
( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sK34(X0),X2),X0)
| sz00 = X2
| ~ aInteger0(X2) )
& aElementOf0(sK34(X0),X0) ) )
& ( ! [X3] :
( ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X3,sK35(X0,X3)),X0)
& sz00 != sK35(X0,X3)
& aInteger0(sK35(X0,X3)) )
| ~ aElementOf0(X3,X0) )
| ~ sP14(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK34,sK35])],[f204,f206,f205]) ).
fof(f205,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),X0)
| sz00 = X2
| ~ aInteger0(X2) )
& aElementOf0(X1,X0) )
=> ( ! [X2] :
( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sK34(X0),X2),X0)
| sz00 = X2
| ~ aInteger0(X2) )
& aElementOf0(sK34(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f206,plain,
! [X0,X3] :
( ? [X4] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X3,X4),X0)
& sz00 != X4
& aInteger0(X4) )
=> ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X3,sK35(X0,X3)),X0)
& sz00 != sK35(X0,X3)
& aInteger0(sK35(X0,X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f204,plain,
! [X0] :
( ( sP14(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) )
| ~ sP14(X0) ) ),
inference(rectify,[],[f203]) ).
fof(f203,plain,
! [X0] :
( ( sP14(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) )
| ~ sP14(X0) ) ),
inference(nnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0] :
( sP14(X0)
<=> ! [X1] :
( ? [X2] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),X0)
& sz00 != X2
& aInteger0(X2) )
| ~ aElementOf0(X1,X0) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f1552,plain,
spl45_164,
inference(avatar_split_clause,[],[f388,f1550]) ).
fof(f388,plain,
! [X0] :
( aDivisorOf0(sK31(X0),X0)
| smndt0(sz10) = X0
| sz10 = X0
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f189]) ).
fof(f189,plain,
! [X0] :
( ( ( ( isPrime0(sK31(X0))
& aDivisorOf0(sK31(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,[sK31])],[f187,f188]) ).
fof(f188,plain,
! [X0] :
( ? [X1] :
( isPrime0(X1)
& aDivisorOf0(X1,X0) )
=> ( isPrime0(sK31(X0))
& aDivisorOf0(sK31(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f187,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,[],[f186]) ).
fof(f186,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,[],[f185]) ).
fof(f185,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,[],[f63]) ).
fof(f63,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/tmp/tmp.yhOMwMsgGv/Vampire---4.8_6813',mPrimeDivisor) ).
fof(f1548,plain,
spl45_163,
inference(avatar_split_clause,[],[f306,f1546]) ).
fof(f306,plain,
! [X2,X0,X1] :
( sdteqdtlpzmzozddtrp0(X2,X1,X0)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ~ sP5(X0,X1,X2) ),
inference(cnf_transformation,[],[f175]) ).
fof(f1544,plain,
spl45_162,
inference(avatar_split_clause,[],[f304,f1542]) ).
fof(f304,plain,
! [X2,X0,X1] :
( sP4(X0,X1,X2)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ~ sP5(X0,X1,X2) ),
inference(cnf_transformation,[],[f175]) ).
fof(f1540,plain,
spl45_161,
inference(avatar_split_clause,[],[f290,f1538]) ).
fof(f290,plain,
! [X2,X0,X1] :
( sdteqdtlpzmzozddtrp0(X2,X1,X0)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ~ sP9(X0,X1,X2) ),
inference(cnf_transformation,[],[f163]) ).
fof(f1532,plain,
spl45_160,
inference(avatar_split_clause,[],[f288,f1530]) ).
fof(f288,plain,
! [X2,X0,X1] :
( sP8(X0,X1,X2)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ~ sP9(X0,X1,X2) ),
inference(cnf_transformation,[],[f163]) ).
fof(f1528,plain,
spl45_159,
inference(avatar_split_clause,[],[f258,f1526]) ).
fof(f258,plain,
! [X2,X0,X1] :
( sdteqdtlpzmzozddtrp0(X2,X1,X0)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ~ sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f147]) ).
fof(f1524,plain,
spl45_158,
inference(avatar_split_clause,[],[f256,f1522]) ).
fof(f256,plain,
! [X2,X0,X1] :
( sP0(X0,X1,X2)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ~ sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f147]) ).
fof(f1444,plain,
spl45_157,
inference(avatar_split_clause,[],[f468,f1442]) ).
fof(f1442,plain,
( spl45_157
<=> ! [X4,X0,X2,X1] :
( aElementOf0(X4,X2)
| ~ aElementOf0(X4,X0)
| ~ aInteger0(X4)
| ~ sP23(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_157])]) ).
fof(f468,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElementOf0(X4,X0)
| ~ aInteger0(X4)
| ~ sP23(X0,X1,X2) ),
inference(cnf_transformation,[],[f245]) ).
fof(f1440,plain,
spl45_156,
inference(avatar_split_clause,[],[f467,f1438]) ).
fof(f1438,plain,
( spl45_156
<=> ! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElementOf0(X4,X1)
| ~ aInteger0(X4)
| ~ sP23(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_156])]) ).
fof(f467,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElementOf0(X4,X1)
| ~ aInteger0(X4)
| ~ sP23(X0,X1,X2) ),
inference(cnf_transformation,[],[f245]) ).
fof(f1436,plain,
spl45_155,
inference(avatar_split_clause,[],[f439,f1434]) ).
fof(f1434,plain,
( spl45_155
<=> ! [X2,X0,X1] :
( szAzrzSzezqlpdtcmdtrp0(X0,X1) = X2
| ~ sP20(X1,X0,X2)
| ~ sP21(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_155])]) ).
fof(f439,plain,
! [X2,X0,X1] :
( szAzrzSzezqlpdtcmdtrp0(X0,X1) = X2
| ~ sP20(X1,X0,X2)
| ~ sP21(X0,X1) ),
inference(cnf_transformation,[],[f228]) ).
fof(f228,plain,
! [X0,X1] :
( ! [X2] :
( ( szAzrzSzezqlpdtcmdtrp0(X0,X1) = X2
| ~ sP20(X1,X0,X2) )
& ( sP20(X1,X0,X2)
| szAzrzSzezqlpdtcmdtrp0(X0,X1) != X2 ) )
| ~ sP21(X0,X1) ),
inference(nnf_transformation,[],[f134]) ).
fof(f134,plain,
! [X0,X1] :
( ! [X2] :
( szAzrzSzezqlpdtcmdtrp0(X0,X1) = X2
<=> sP20(X1,X0,X2) )
| ~ sP21(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f1432,plain,
spl45_154,
inference(avatar_split_clause,[],[f438,f1430]) ).
fof(f438,plain,
! [X2,X0,X1] :
( sP20(X1,X0,X2)
| szAzrzSzezqlpdtcmdtrp0(X0,X1) != X2
| ~ sP21(X0,X1) ),
inference(cnf_transformation,[],[f228]) ).
fof(f1428,plain,
spl45_153,
inference(avatar_split_clause,[],[f436,f1426]) ).
fof(f1426,plain,
( spl45_153
<=> ! [X0] :
( isOpen0(sbsmnsldt0(X0))
| ~ isOpen0(sK41(X0))
| ~ aSubsetOf0(sK41(X0),cS1395)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_153])]) ).
fof(f436,plain,
! [X0] :
( isOpen0(sbsmnsldt0(X0))
| ~ isOpen0(sK41(X0))
| ~ aSubsetOf0(sK41(X0),cS1395)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f227]) ).
fof(f227,plain,
! [X0] :
( isOpen0(sbsmnsldt0(X0))
| ( ( ~ isOpen0(sK41(X0))
| ~ aSubsetOf0(sK41(X0),cS1395) )
& aElementOf0(sK41(X0),X0) )
| ~ aSet0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK41])],[f72,f226]) ).
fof(f226,plain,
! [X0] :
( ? [X1] :
( ( ~ isOpen0(X1)
| ~ aSubsetOf0(X1,cS1395) )
& aElementOf0(X1,X0) )
=> ( ( ~ isOpen0(sK41(X0))
| ~ aSubsetOf0(sK41(X0),cS1395) )
& aElementOf0(sK41(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
! [X0] :
( isOpen0(sbsmnsldt0(X0))
| ? [X1] :
( ( ~ isOpen0(X1)
| ~ aSubsetOf0(X1,cS1395) )
& aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(flattening,[],[f71]) ).
fof(f71,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/tmp/tmp.yhOMwMsgGv/Vampire---4.8_6813',mUnionOpen) ).
fof(f1424,plain,
( spl45_152
| ~ spl45_64
| ~ spl45_121 ),
inference(avatar_split_clause,[],[f1301,f1243,f801,f1421]) ).
fof(f1421,plain,
( spl45_152
<=> aElementOf0(sK26,cS1395) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_152])]) ).
fof(f1243,plain,
( spl45_121
<=> aElementOf0(sK26,stldt0(xA)) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_121])]) ).
fof(f1301,plain,
( aElementOf0(sK26,cS1395)
| ~ spl45_64
| ~ spl45_121 ),
inference(resolution,[],[f1245,f802]) ).
fof(f1245,plain,
( aElementOf0(sK26,stldt0(xA))
| ~ spl45_121 ),
inference(avatar_component_clause,[],[f1243]) ).
fof(f1419,plain,
spl45_151,
inference(avatar_split_clause,[],[f429,f1417]) ).
fof(f429,plain,
! [X0,X1] :
( sP18(X0,X1)
| aInteger0(sK37(X0,X1))
| aElementOf0(sK37(X0,X1),X1) ),
inference(cnf_transformation,[],[f223]) ).
fof(f1415,plain,
spl45_150,
inference(avatar_split_clause,[],[f408,f1413]) ).
fof(f408,plain,
! [X3,X0] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X3,sK35(X0,X3)),X0)
| ~ aElementOf0(X3,X0)
| ~ sP14(X0) ),
inference(cnf_transformation,[],[f207]) ).
fof(f1411,plain,
spl45_149,
inference(avatar_split_clause,[],[f401,f1409]) ).
fof(f401,plain,
! [X0,X1] :
( aSubsetOf0(X1,X0)
| ~ aElementOf0(sK33(X0,X1),X0)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f200]) ).
fof(f200,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ( ~ aElementOf0(sK33(X0,X1),X0)
& aElementOf0(sK33(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,[sK33])],[f198,f199]) ).
fof(f199,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK33(X0,X1),X0)
& aElementOf0(sK33(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f198,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,[],[f197]) ).
fof(f197,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,[],[f196]) ).
fof(f196,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,[],[f65]) ).
fof(f65,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/tmp/tmp.yhOMwMsgGv/Vampire---4.8_6813',mSubset) ).
fof(f1407,plain,
spl45_148,
inference(avatar_split_clause,[],[f400,f1405]) ).
fof(f400,plain,
! [X0,X1] :
( aSubsetOf0(X1,X0)
| aElementOf0(sK33(X0,X1),X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f200]) ).
fof(f1403,plain,
spl45_147,
inference(avatar_split_clause,[],[f389,f1401]) ).
fof(f1401,plain,
( spl45_147
<=> ! [X0] :
( isPrime0(sK31(X0))
| smndt0(sz10) = X0
| sz10 = X0
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_147])]) ).
fof(f389,plain,
! [X0] :
( isPrime0(sK31(X0))
| smndt0(sz10) = X0
| sz10 = X0
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f189]) ).
fof(f1399,plain,
spl45_146,
inference(avatar_split_clause,[],[f297,f1397]) ).
fof(f297,plain,
! [X2,X0] :
( aElementOf0(X2,stldt0(xA))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,sK29(X0)))
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f171]) ).
fof(f171,plain,
! [X0] :
( ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,sK29(X0)),stldt0(xA))
& ! [X2] :
( aElementOf0(X2,stldt0(xA))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,sK29(X0))) )
& sP6(sK29(X0),X0)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,sK29(X0)))
& sz00 != sK29(X0)
& aInteger0(sK29(X0)) )
| ~ sP7(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK29])],[f169,f170]) ).
fof(f170,plain,
! [X0] :
( ? [X1] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(xA))
& ! [X2] :
( aElementOf0(X2,stldt0(xA))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
& sP6(X1,X0)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& sz00 != X1
& aInteger0(X1) )
=> ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,sK29(X0)),stldt0(xA))
& ! [X2] :
( aElementOf0(X2,stldt0(xA))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,sK29(X0))) )
& sP6(sK29(X0),X0)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,sK29(X0)))
& sz00 != sK29(X0)
& aInteger0(sK29(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f169,plain,
! [X0] :
( ? [X1] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(xA))
& ! [X2] :
( aElementOf0(X2,stldt0(xA))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
& sP6(X1,X0)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& sz00 != X1
& aInteger0(X1) )
| ~ sP7(X0) ),
inference(rectify,[],[f168]) ).
fof(f168,plain,
! [X7] :
( ? [X8] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X7,X8),stldt0(xA))
& ! [X9] :
( aElementOf0(X9,stldt0(xA))
| ~ aElementOf0(X9,szAzrzSzezqlpdtcmdtrp0(X7,X8)) )
& sP6(X8,X7)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X7,X8))
& sz00 != X8
& aInteger0(X8) )
| ~ sP7(X7) ),
inference(nnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X7] :
( ? [X8] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X7,X8),stldt0(xA))
& ! [X9] :
( aElementOf0(X9,stldt0(xA))
| ~ aElementOf0(X9,szAzrzSzezqlpdtcmdtrp0(X7,X8)) )
& sP6(X8,X7)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X7,X8))
& sz00 != X8
& aInteger0(X8) )
| ~ sP7(X7) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f1395,plain,
spl45_145,
inference(avatar_split_clause,[],[f281,f1393]) ).
fof(f281,plain,
! [X2,X0] :
( aElementOf0(X2,stldt0(xB))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,sK27(X0)))
| ~ sP11(X0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f159,plain,
! [X0] :
( ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,sK27(X0)),stldt0(xB))
& ! [X2] :
( aElementOf0(X2,stldt0(xB))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,sK27(X0))) )
& sP10(sK27(X0),X0)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,sK27(X0)))
& sz00 != sK27(X0)
& aInteger0(sK27(X0)) )
| ~ sP11(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK27])],[f157,f158]) ).
fof(f158,plain,
! [X0] :
( ? [X1] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(xB))
& ! [X2] :
( aElementOf0(X2,stldt0(xB))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
& sP10(X1,X0)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& sz00 != X1
& aInteger0(X1) )
=> ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,sK27(X0)),stldt0(xB))
& ! [X2] :
( aElementOf0(X2,stldt0(xB))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,sK27(X0))) )
& sP10(sK27(X0),X0)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,sK27(X0)))
& sz00 != sK27(X0)
& aInteger0(sK27(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f157,plain,
! [X0] :
( ? [X1] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(xB))
& ! [X2] :
( aElementOf0(X2,stldt0(xB))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
& sP10(X1,X0)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& sz00 != X1
& aInteger0(X1) )
| ~ sP11(X0) ),
inference(nnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0] :
( ? [X1] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(xB))
& ! [X2] :
( aElementOf0(X2,stldt0(xB))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
& sP10(X1,X0)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& sz00 != X1
& aInteger0(X1) )
| ~ sP11(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f1346,plain,
( spl45_144
| ~ spl45_49
| ~ spl45_121 ),
inference(avatar_split_clause,[],[f1303,f1243,f728,f1343]) ).
fof(f1303,plain,
( sP7(sK26)
| ~ spl45_49
| ~ spl45_121 ),
inference(resolution,[],[f1245,f729]) ).
fof(f1340,plain,
spl45_143,
inference(avatar_split_clause,[],[f451,f1338]) ).
fof(f451,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f83]) ).
fof(f83,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/tmp/tmp.yhOMwMsgGv/Vampire---4.8_6813',mAddComm) ).
fof(f1336,plain,
spl45_142,
inference(avatar_split_clause,[],[f450,f1334]) ).
fof(f450,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f81]) ).
fof(f81,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/tmp/tmp.yhOMwMsgGv/Vampire---4.8_6813',mMulComm) ).
fof(f1332,plain,
spl45_141,
inference(avatar_split_clause,[],[f442,f1330]) ).
fof(f1330,plain,
( spl45_141
<=> ! [X2,X4,X0,X1] :
( sdteqdtlpzmzozddtrp0(X4,X1,X0)
| ~ aElementOf0(X4,X2)
| ~ sP20(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_141])]) ).
fof(f442,plain,
! [X2,X0,X1,X4] :
( sdteqdtlpzmzozddtrp0(X4,X1,X0)
| ~ aElementOf0(X4,X2)
| ~ sP20(X0,X1,X2) ),
inference(cnf_transformation,[],[f233]) ).
fof(f1328,plain,
spl45_140,
inference(avatar_split_clause,[],[f437,f1326]) ).
fof(f1326,plain,
( spl45_140
<=> ! [X0,X1] :
( sdteqdtlpzmzozddtrp0(X0,X0,X1)
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_140])]) ).
fof(f437,plain,
! [X0,X1] :
( sdteqdtlpzmzozddtrp0(X0,X0,X1)
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1] :
( sdteqdtlpzmzozddtrp0(X0,X0,X1)
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f73]) ).
fof(f73,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/tmp/tmp.yhOMwMsgGv/Vampire---4.8_6813',mEquModRef) ).
fof(f1324,plain,
spl45_139,
inference(avatar_split_clause,[],[f427,f1322]) ).
fof(f1322,plain,
( spl45_139
<=> ! [X5,X0,X1] :
( aElementOf0(X5,sK39(X0,X5))
| ~ aElementOf0(X5,X1)
| ~ sP18(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_139])]) ).
fof(f427,plain,
! [X0,X1,X5] :
( aElementOf0(X5,sK39(X0,X5))
| ~ aElementOf0(X5,X1)
| ~ sP18(X0,X1) ),
inference(cnf_transformation,[],[f223]) ).
fof(f1320,plain,
spl45_138,
inference(avatar_split_clause,[],[f426,f1318]) ).
fof(f1318,plain,
( spl45_138
<=> ! [X5,X0,X1] :
( aElementOf0(sK39(X0,X5),X0)
| ~ aElementOf0(X5,X1)
| ~ sP18(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_138])]) ).
fof(f426,plain,
! [X0,X1,X5] :
( aElementOf0(sK39(X0,X5),X0)
| ~ aElementOf0(X5,X1)
| ~ sP18(X0,X1) ),
inference(cnf_transformation,[],[f223]) ).
fof(f1316,plain,
spl45_137,
inference(avatar_split_clause,[],[f424,f1314]) ).
fof(f1314,plain,
( spl45_137
<=> ! [X0,X1] :
( sbsmnsldt0(X0) = X1
| ~ sP18(X0,X1)
| ~ aSet0(X1)
| ~ sP19(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_137])]) ).
fof(f424,plain,
! [X0,X1] :
( sbsmnsldt0(X0) = X1
| ~ sP18(X0,X1)
| ~ aSet0(X1)
| ~ sP19(X0) ),
inference(cnf_transformation,[],[f216]) ).
fof(f216,plain,
! [X0] :
( ! [X1] :
( ( sbsmnsldt0(X0) = X1
| ~ sP18(X0,X1)
| ~ aSet0(X1) )
& ( ( sP18(X0,X1)
& aSet0(X1) )
| sbsmnsldt0(X0) != X1 ) )
| ~ sP19(X0) ),
inference(rectify,[],[f215]) ).
fof(f215,plain,
! [X0] :
( ! [X2] :
( ( sbsmnsldt0(X0) = X2
| ~ sP18(X0,X2)
| ~ aSet0(X2) )
& ( ( sP18(X0,X2)
& aSet0(X2) )
| sbsmnsldt0(X0) != X2 ) )
| ~ sP19(X0) ),
inference(flattening,[],[f214]) ).
fof(f214,plain,
! [X0] :
( ! [X2] :
( ( sbsmnsldt0(X0) = X2
| ~ sP18(X0,X2)
| ~ aSet0(X2) )
& ( ( sP18(X0,X2)
& aSet0(X2) )
| sbsmnsldt0(X0) != X2 ) )
| ~ sP19(X0) ),
inference(nnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0] :
( ! [X2] :
( sbsmnsldt0(X0) = X2
<=> ( sP18(X0,X2)
& aSet0(X2) ) )
| ~ sP19(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f1312,plain,
spl45_136,
inference(avatar_split_clause,[],[f417,f1310]) ).
fof(f1310,plain,
( spl45_136
<=> ! [X0,X1,X3] :
( aElementOf0(X3,X1)
| aElementOf0(X3,X0)
| ~ aInteger0(X3)
| ~ sP16(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_136])]) ).
fof(f417,plain,
! [X3,X0,X1] :
( aElementOf0(X3,X1)
| aElementOf0(X3,X0)
| ~ aInteger0(X3)
| ~ sP16(X0,X1) ),
inference(cnf_transformation,[],[f213]) ).
fof(f1308,plain,
spl45_135,
inference(avatar_split_clause,[],[f399,f1306]) ).
fof(f399,plain,
! [X3,X0,X1] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f200]) ).
fof(f1300,plain,
spl45_134,
inference(avatar_split_clause,[],[f387,f1298]) ).
fof(f387,plain,
! [X2,X0] :
( smndt0(sz10) != X0
| ~ isPrime0(X2)
| ~ aDivisorOf0(X2,X0)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f189]) ).
fof(f1296,plain,
spl45_133,
inference(avatar_split_clause,[],[f303,f1294]) ).
fof(f303,plain,
! [X2,X0,X1] :
( aInteger0(X2)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ~ sP5(X0,X1,X2) ),
inference(cnf_transformation,[],[f175]) ).
fof(f1292,plain,
spl45_132,
inference(avatar_split_clause,[],[f287,f1290]) ).
fof(f287,plain,
! [X2,X0,X1] :
( aInteger0(X2)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ~ sP9(X0,X1,X2) ),
inference(cnf_transformation,[],[f163]) ).
fof(f1288,plain,
spl45_131,
inference(avatar_split_clause,[],[f255,f1286]) ).
fof(f255,plain,
! [X2,X0,X1] :
( aInteger0(X2)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ~ sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f147]) ).
fof(f1284,plain,
spl45_130,
inference(avatar_split_clause,[],[f250,f1282]) ).
fof(f250,plain,
! [X0,X1] :
( ~ aElementOf0(sK24(X0,X1),stldt0(sdtbsmnsldt0(xA,xB)))
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
! [X0,X1] :
( ( ~ aElementOf0(sK24(X0,X1),stldt0(sdtbsmnsldt0(xA,xB)))
& aElementOf0(sK24(X0,X1),szAzrzSzezqlpdtcmdtrp0(X1,X0)) )
| ~ sP3(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK24])],[f141,f142]) ).
fof(f142,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,stldt0(sdtbsmnsldt0(xA,xB)))
& aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0)) )
=> ( ~ aElementOf0(sK24(X0,X1),stldt0(sdtbsmnsldt0(xA,xB)))
& aElementOf0(sK24(X0,X1),szAzrzSzezqlpdtcmdtrp0(X1,X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f141,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,stldt0(sdtbsmnsldt0(xA,xB)))
& aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0)) )
| ~ sP3(X0,X1) ),
inference(rectify,[],[f140]) ).
fof(f140,plain,
! [X3,X2] :
( ? [X7] :
( ~ aElementOf0(X7,stldt0(sdtbsmnsldt0(xA,xB)))
& aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(X2,X3)) )
| ~ sP3(X3,X2) ),
inference(nnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X3,X2] :
( ? [X7] :
( ~ aElementOf0(X7,stldt0(sdtbsmnsldt0(xA,xB)))
& aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(X2,X3)) )
| ~ sP3(X3,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f1280,plain,
( spl45_129
| ~ spl45_5
| ~ spl45_119 ),
inference(avatar_split_clause,[],[f1238,f1224,f507,f1277]) ).
fof(f1238,plain,
( aElementOf0(sK26,stldt0(xB))
| ~ spl45_5
| ~ spl45_119 ),
inference(resolution,[],[f1225,f509]) ).
fof(f509,plain,
( aElementOf0(sK26,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ spl45_5 ),
inference(avatar_component_clause,[],[f507]) ).
fof(f1274,plain,
spl45_128,
inference(avatar_split_clause,[],[f456,f1272]) ).
fof(f1272,plain,
( spl45_128
<=> ! [X4,X0,X2,X1] :
( aElementOf0(X4,X0)
| ~ aElementOf0(X4,X2)
| ~ sP22(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_128])]) ).
fof(f456,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X0)
| ~ aElementOf0(X4,X2)
| ~ sP22(X0,X1,X2) ),
inference(cnf_transformation,[],[f238]) ).
fof(f1270,plain,
spl45_127,
inference(avatar_split_clause,[],[f455,f1268]) ).
fof(f1268,plain,
( spl45_127
<=> ! [X4,X0,X1,X2] :
( aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ sP22(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_127])]) ).
fof(f455,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ sP22(X0,X1,X2) ),
inference(cnf_transformation,[],[f238]) ).
fof(f1266,plain,
spl45_126,
inference(avatar_split_clause,[],[f447,f1264]) ).
fof(f1264,plain,
( spl45_126
<=> ! [X0,X1] :
( sP21(X0,X1)
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_126])]) ).
fof(f447,plain,
! [X0,X1] :
( sP21(X0,X1)
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0,X1] :
( sP21(X0,X1)
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(definition_folding,[],[f76,f134,f133]) ).
fof(f76,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,[],[f75]) ).
fof(f75,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/tmp/tmp.yhOMwMsgGv/Vampire---4.8_6813',mArSeq) ).
fof(f1262,plain,
spl45_125,
inference(avatar_split_clause,[],[f407,f1260]) ).
fof(f1260,plain,
( spl45_125
<=> ! [X0,X3] :
( sz00 != sK35(X0,X3)
| ~ aElementOf0(X3,X0)
| ~ sP14(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_125])]) ).
fof(f407,plain,
! [X3,X0] :
( sz00 != sK35(X0,X3)
| ~ aElementOf0(X3,X0)
| ~ sP14(X0) ),
inference(cnf_transformation,[],[f207]) ).
fof(f1258,plain,
spl45_124,
inference(avatar_split_clause,[],[f395,f1256]) ).
fof(f1256,plain,
( spl45_124
<=> ! [X0,X1] :
( sdtasdt0(X1,sK32(X0,X1)) = X0
| ~ sP12(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_124])]) ).
fof(f395,plain,
! [X0,X1] :
( sdtasdt0(X1,sK32(X0,X1)) = X0
| ~ sP12(X0,X1) ),
inference(cnf_transformation,[],[f195]) ).
fof(f1254,plain,
spl45_123,
inference(avatar_split_clause,[],[f386,f1252]) ).
fof(f386,plain,
! [X2,X0] :
( sz10 != X0
| ~ isPrime0(X2)
| ~ aDivisorOf0(X2,X0)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f189]) ).
fof(f1250,plain,
spl45_122,
inference(avatar_split_clause,[],[f249,f1248]) ).
fof(f249,plain,
! [X0,X1] :
( aElementOf0(sK24(X0,X1),szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f143]) ).
fof(f1246,plain,
( spl45_121
| ~ spl45_5
| ~ spl45_118 ),
inference(avatar_split_clause,[],[f1233,f1220,f507,f1243]) ).
fof(f1233,plain,
( aElementOf0(sK26,stldt0(xA))
| ~ spl45_5
| ~ spl45_118 ),
inference(resolution,[],[f1221,f509]) ).
fof(f1231,plain,
spl45_120,
inference(avatar_split_clause,[],[f372,f1228]) ).
fof(f372,plain,
stldt0(sdtbsmnsldt0(xA,xB)) = sdtslmnbsdt0(stldt0(xA),stldt0(xB)),
inference(cnf_transformation,[],[f184]) ).
fof(f1226,plain,
spl45_119,
inference(avatar_split_clause,[],[f370,f1224]) ).
fof(f370,plain,
! [X0] :
( aElementOf0(X0,stldt0(xB))
| ~ aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(cnf_transformation,[],[f184]) ).
fof(f1222,plain,
spl45_118,
inference(avatar_split_clause,[],[f369,f1220]) ).
fof(f369,plain,
! [X0] :
( aElementOf0(X0,stldt0(xA))
| ~ aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(cnf_transformation,[],[f184]) ).
fof(f1202,plain,
( spl45_117
| ~ spl45_15
| ~ spl45_77 ),
inference(avatar_split_clause,[],[f912,f858,f554,f1199]) ).
fof(f1199,plain,
( spl45_117
<=> sK26 = sdtpldt0(sz00,sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_117])]) ).
fof(f912,plain,
( sK26 = sdtpldt0(sz00,sK26)
| ~ spl45_15
| ~ spl45_77 ),
inference(resolution,[],[f859,f556]) ).
fof(f1131,plain,
spl45_116,
inference(avatar_split_clause,[],[f465,f1129]) ).
fof(f1129,plain,
( spl45_116
<=> ! [X4,X0,X2,X1] :
( aInteger0(X4)
| ~ aElementOf0(X4,X2)
| ~ sP23(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_116])]) ).
fof(f465,plain,
! [X2,X0,X1,X4] :
( aInteger0(X4)
| ~ aElementOf0(X4,X2)
| ~ sP23(X0,X1,X2) ),
inference(cnf_transformation,[],[f245]) ).
fof(f1127,plain,
spl45_115,
inference(avatar_split_clause,[],[f454,f1125]) ).
fof(f1125,plain,
( spl45_115
<=> ! [X4,X0,X2,X1] :
( aInteger0(X4)
| ~ aElementOf0(X4,X2)
| ~ sP22(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_115])]) ).
fof(f454,plain,
! [X2,X0,X1,X4] :
( aInteger0(X4)
| ~ aElementOf0(X4,X2)
| ~ sP22(X0,X1,X2) ),
inference(cnf_transformation,[],[f238]) ).
fof(f1123,plain,
spl45_114,
inference(avatar_split_clause,[],[f441,f1121]) ).
fof(f1121,plain,
( spl45_114
<=> ! [X4,X0,X2,X1] :
( aInteger0(X4)
| ~ aElementOf0(X4,X2)
| ~ sP20(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_114])]) ).
fof(f441,plain,
! [X2,X0,X1,X4] :
( aInteger0(X4)
| ~ aElementOf0(X4,X2)
| ~ sP20(X0,X1,X2) ),
inference(cnf_transformation,[],[f233]) ).
fof(f1119,plain,
spl45_113,
inference(avatar_split_clause,[],[f435,f1117]) ).
fof(f435,plain,
! [X0] :
( isOpen0(sbsmnsldt0(X0))
| aElementOf0(sK41(X0),X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f227]) ).
fof(f1115,plain,
spl45_112,
inference(avatar_split_clause,[],[f423,f1113]) ).
fof(f423,plain,
! [X0,X1] :
( sP18(X0,X1)
| sbsmnsldt0(X0) != X1
| ~ sP19(X0) ),
inference(cnf_transformation,[],[f216]) ).
fof(f1111,plain,
spl45_111,
inference(avatar_split_clause,[],[f416,f1109]) ).
fof(f1109,plain,
( spl45_111
<=> ! [X0,X1,X3] :
( ~ aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ sP16(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_111])]) ).
fof(f416,plain,
! [X3,X0,X1] :
( ~ aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ sP16(X0,X1) ),
inference(cnf_transformation,[],[f213]) ).
fof(f1107,plain,
spl45_110,
inference(avatar_split_clause,[],[f413,f1105]) ).
fof(f1105,plain,
( spl45_110
<=> ! [X0,X1] :
( stldt0(X0) = X1
| ~ sP16(X0,X1)
| ~ sP17(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_110])]) ).
fof(f413,plain,
! [X0,X1] :
( stldt0(X0) = X1
| ~ sP16(X0,X1)
| ~ sP17(X0) ),
inference(cnf_transformation,[],[f208]) ).
fof(f208,plain,
! [X0] :
( ! [X1] :
( ( stldt0(X0) = X1
| ~ sP16(X0,X1) )
& ( sP16(X0,X1)
| stldt0(X0) != X1 ) )
| ~ sP17(X0) ),
inference(nnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0] :
( ! [X1] :
( stldt0(X0) = X1
<=> sP16(X0,X1) )
| ~ sP17(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f1103,plain,
spl45_109,
inference(avatar_split_clause,[],[f412,f1101]) ).
fof(f412,plain,
! [X0,X1] :
( sP16(X0,X1)
| stldt0(X0) != X1
| ~ sP17(X0) ),
inference(cnf_transformation,[],[f208]) ).
fof(f1099,plain,
spl45_108,
inference(avatar_split_clause,[],[f406,f1097]) ).
fof(f406,plain,
! [X3,X0] :
( aInteger0(sK35(X0,X3))
| ~ aElementOf0(X3,X0)
| ~ sP14(X0) ),
inference(cnf_transformation,[],[f207]) ).
fof(f1095,plain,
( spl45_107
| ~ spl45_15
| ~ spl45_76 ),
inference(avatar_split_clause,[],[f901,f854,f554,f1092]) ).
fof(f1092,plain,
( spl45_107
<=> sK26 = sdtpldt0(sK26,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_107])]) ).
fof(f901,plain,
( sK26 = sdtpldt0(sK26,sz00)
| ~ spl45_15
| ~ spl45_76 ),
inference(resolution,[],[f855,f556]) ).
fof(f1090,plain,
spl45_106,
inference(avatar_split_clause,[],[f385,f1088]) ).
fof(f385,plain,
! [X0] :
( smndt0(X0) = sdtasdt0(X0,smndt0(sz10))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,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/tmp/tmp.yhOMwMsgGv/Vampire---4.8_6813',mMulMinOne) ).
fof(f1086,plain,
spl45_105,
inference(avatar_split_clause,[],[f384,f1084]) ).
fof(f384,plain,
! [X0] :
( smndt0(X0) = sdtasdt0(smndt0(sz10),X0)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f1082,plain,
spl45_104,
inference(avatar_split_clause,[],[f307,f1080]) ).
fof(f307,plain,
! [X2,X0,X1] :
( aInteger0(sK30(X0,X1,X2))
| ~ sP4(X0,X1,X2) ),
inference(cnf_transformation,[],[f179]) ).
fof(f1078,plain,
spl45_103,
inference(avatar_split_clause,[],[f298,f1076]) ).
fof(f1076,plain,
( spl45_103
<=> ! [X0] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,sK29(X0)),stldt0(xA))
| ~ sP7(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_103])]) ).
fof(f298,plain,
! [X0] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,sK29(X0)),stldt0(xA))
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f171]) ).
fof(f1074,plain,
spl45_102,
inference(avatar_split_clause,[],[f291,f1072]) ).
fof(f291,plain,
! [X2,X0,X1] :
( aInteger0(sK28(X0,X1,X2))
| ~ sP8(X0,X1,X2) ),
inference(cnf_transformation,[],[f167]) ).
fof(f1070,plain,
spl45_101,
inference(avatar_split_clause,[],[f282,f1068]) ).
fof(f1068,plain,
( spl45_101
<=> ! [X0] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,sK27(X0)),stldt0(xB))
| ~ sP11(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_101])]) ).
fof(f282,plain,
! [X0] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,sK27(X0)),stldt0(xB))
| ~ sP11(X0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f1066,plain,
spl45_100,
inference(avatar_split_clause,[],[f259,f1064]) ).
fof(f259,plain,
! [X2,X0,X1] :
( aInteger0(sK25(X0,X1,X2))
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f151]) ).
fof(f1054,plain,
spl45_99,
inference(avatar_split_clause,[],[f331,f1052]) ).
fof(f331,plain,
! [X1] :
( aElementOf0(X1,stldt0(xB))
| aElementOf0(X1,xB)
| ~ aInteger0(X1) ),
inference(cnf_transformation,[],[f182]) ).
fof(f182,plain,
( isClosed0(xB)
& isOpen0(stldt0(xB))
& ! [X0] :
( sP11(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] :
( sP7(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,[],[f181]) ).
fof(f181,plain,
( isClosed0(xB)
& isOpen0(stldt0(xB))
& ! [X0] :
( sP11(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] :
( sP7(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,[],[f180]) ).
fof(f180,plain,
( isClosed0(xB)
& isOpen0(stldt0(xB))
& ! [X0] :
( sP11(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] :
( sP7(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,[],[f120]) ).
fof(f120,plain,
( isClosed0(xB)
& isOpen0(stldt0(xB))
& ! [X0] :
( sP11(X0)
| ~ aElementOf0(X0,stldt0(xB)) )
& ! [X6] :
( aElementOf0(X6,stldt0(xB))
<=> ( ~ aElementOf0(X6,xB)
& aInteger0(X6) ) )
& aSet0(stldt0(xB))
& isClosed0(xA)
& isOpen0(stldt0(xA))
& ! [X7] :
( sP7(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,[],[f55,f119,f118,f117,f116,f115,f114,f113,f112]) ).
fof(f55,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,[],[f54]) ).
fof(f54,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,[],[f44]) ).
fof(f44,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/tmp/tmp.yhOMwMsgGv/Vampire---4.8_6813',m__1826) ).
fof(f1050,plain,
( spl45_98
| ~ spl45_15
| ~ spl45_75 ),
inference(avatar_split_clause,[],[f895,f850,f554,f1047]) ).
fof(f1047,plain,
( spl45_98
<=> sK26 = sdtasdt0(sz10,sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_98])]) ).
fof(f895,plain,
( sK26 = sdtasdt0(sz10,sK26)
| ~ spl45_15
| ~ spl45_75 ),
inference(resolution,[],[f851,f556]) ).
fof(f1045,plain,
spl45_97,
inference(avatar_split_clause,[],[f324,f1043]) ).
fof(f324,plain,
! [X3] :
( aElementOf0(X3,stldt0(xA))
| aElementOf0(X3,xA)
| ~ aInteger0(X3) ),
inference(cnf_transformation,[],[f182]) ).
fof(f1001,plain,
( spl45_96
| ~ spl45_15
| ~ spl45_74 ),
inference(avatar_split_clause,[],[f889,f846,f554,f998]) ).
fof(f998,plain,
( spl45_96
<=> sK26 = sdtasdt0(sK26,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_96])]) ).
fof(f889,plain,
( sK26 = sdtasdt0(sK26,sz10)
| ~ spl45_15
| ~ spl45_74 ),
inference(resolution,[],[f847,f556]) ).
fof(f982,plain,
spl45_95,
inference(avatar_split_clause,[],[f449,f980]) ).
fof(f449,plain,
! [X0,X1] :
( aInteger0(sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( aInteger0(sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f79]) ).
fof(f79,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/tmp/tmp.yhOMwMsgGv/Vampire---4.8_6813',mIntMult) ).
fof(f978,plain,
spl45_94,
inference(avatar_split_clause,[],[f448,f976]) ).
fof(f448,plain,
! [X0,X1] :
( aInteger0(sdtpldt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0,X1] :
( aInteger0(sdtpldt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f77]) ).
fof(f77,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/tmp/tmp.yhOMwMsgGv/Vampire---4.8_6813',mIntPlus) ).
fof(f974,plain,
spl45_93,
inference(avatar_split_clause,[],[f434,f972]) ).
fof(f972,plain,
( spl45_93
<=> ! [X0] :
( sP19(X0)
| ~ aSubsetOf0(sK40(X0),cS1395)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_93])]) ).
fof(f434,plain,
! [X0] :
( sP19(X0)
| ~ aSubsetOf0(sK40(X0),cS1395)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f225]) ).
fof(f225,plain,
! [X0] :
( sP19(X0)
| ( ~ aSubsetOf0(sK40(X0),cS1395)
& aElementOf0(sK40(X0),X0) )
| ~ aSet0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK40])],[f132,f224]) ).
fof(f224,plain,
! [X0] :
( ? [X1] :
( ~ aSubsetOf0(X1,cS1395)
& aElementOf0(X1,X0) )
=> ( ~ aSubsetOf0(sK40(X0),cS1395)
& aElementOf0(sK40(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f132,plain,
! [X0] :
( sP19(X0)
| ? [X1] :
( ~ aSubsetOf0(X1,cS1395)
& aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(definition_folding,[],[f70,f131,f130]) ).
fof(f70,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,[],[f69]) ).
fof(f69,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,[],[f51]) ).
fof(f51,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/tmp/tmp.yhOMwMsgGv/Vampire---4.8_6813',mUnionSet) ).
fof(f970,plain,
spl45_92,
inference(avatar_split_clause,[],[f433,f968]) ).
fof(f433,plain,
! [X0] :
( sP19(X0)
| aElementOf0(sK40(X0),X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f225]) ).
fof(f966,plain,
spl45_91,
inference(avatar_split_clause,[],[f425,f964]) ).
fof(f964,plain,
( spl45_91
<=> ! [X5,X1,X0] :
( aInteger0(X5)
| ~ aElementOf0(X5,X1)
| ~ sP18(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_91])]) ).
fof(f425,plain,
! [X0,X1,X5] :
( aInteger0(X5)
| ~ aElementOf0(X5,X1)
| ~ sP18(X0,X1) ),
inference(cnf_transformation,[],[f223]) ).
fof(f962,plain,
spl45_90,
inference(avatar_split_clause,[],[f422,f960]) ).
fof(f422,plain,
! [X0,X1] :
( aSet0(X1)
| sbsmnsldt0(X0) != X1
| ~ sP19(X0) ),
inference(cnf_transformation,[],[f216]) ).
fof(f958,plain,
( spl45_89
| ~ spl45_15
| ~ spl45_73 ),
inference(avatar_split_clause,[],[f883,f842,f554,f955]) ).
fof(f955,plain,
( spl45_89
<=> sz00 = sdtasdt0(sz00,sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_89])]) ).
fof(f883,plain,
( sz00 = sdtasdt0(sz00,sK26)
| ~ spl45_15
| ~ spl45_73 ),
inference(resolution,[],[f843,f556]) ).
fof(f953,plain,
spl45_88,
inference(avatar_split_clause,[],[f415,f951]) ).
fof(f951,plain,
( spl45_88
<=> ! [X0,X1,X3] :
( aInteger0(X3)
| ~ aElementOf0(X3,X1)
| ~ sP16(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_88])]) ).
fof(f415,plain,
! [X3,X0,X1] :
( aInteger0(X3)
| ~ aElementOf0(X3,X1)
| ~ sP16(X0,X1) ),
inference(cnf_transformation,[],[f213]) ).
fof(f949,plain,
spl45_87,
inference(avatar_split_clause,[],[f403,f947]) ).
fof(f947,plain,
( spl45_87
<=> ! [X0] :
( isClosed0(X0)
| ~ isOpen0(stldt0(X0))
| ~ aSubsetOf0(X0,cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_87])]) ).
fof(f403,plain,
! [X0] :
( isClosed0(X0)
| ~ isOpen0(stldt0(X0))
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[],[f201]) ).
fof(f201,plain,
! [X0] :
( ( ( isClosed0(X0)
| ~ isOpen0(stldt0(X0)) )
& ( isOpen0(stldt0(X0))
| ~ isClosed0(X0) ) )
| ~ aSubsetOf0(X0,cS1395) ),
inference(nnf_transformation,[],[f66]) ).
fof(f66,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/tmp/tmp.yhOMwMsgGv/Vampire---4.8_6813',mClosed) ).
fof(f945,plain,
spl45_86,
inference(avatar_split_clause,[],[f402,f943]) ).
fof(f402,plain,
! [X0] :
( isOpen0(stldt0(X0))
| ~ isClosed0(X0)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[],[f201]) ).
fof(f941,plain,
spl45_85,
inference(avatar_split_clause,[],[f391,f939]) ).
fof(f939,plain,
( spl45_85
<=> ! [X0,X1] :
( aDivisorOf0(X1,X0)
| ~ sP12(X0,X1)
| ~ sP13(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_85])]) ).
fof(f391,plain,
! [X0,X1] :
( aDivisorOf0(X1,X0)
| ~ sP12(X0,X1)
| ~ sP13(X0) ),
inference(cnf_transformation,[],[f190]) ).
fof(f190,plain,
! [X0] :
( ! [X1] :
( ( aDivisorOf0(X1,X0)
| ~ sP12(X0,X1) )
& ( sP12(X0,X1)
| ~ aDivisorOf0(X1,X0) ) )
| ~ sP13(X0) ),
inference(nnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0] :
( ! [X1] :
( aDivisorOf0(X1,X0)
<=> sP12(X0,X1) )
| ~ sP13(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f937,plain,
spl45_84,
inference(avatar_split_clause,[],[f390,f935]) ).
fof(f390,plain,
! [X0,X1] :
( sP12(X0,X1)
| ~ aDivisorOf0(X1,X0)
| ~ sP13(X0) ),
inference(cnf_transformation,[],[f190]) ).
fof(f933,plain,
spl45_83,
inference(avatar_split_clause,[],[f383,f931]) ).
fof(f383,plain,
! [X0] :
( sz00 = sdtpldt0(smndt0(X0),X0)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,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/tmp/tmp.yhOMwMsgGv/Vampire---4.8_6813',mAddNeg) ).
fof(f929,plain,
spl45_82,
inference(avatar_split_clause,[],[f382,f927]) ).
fof(f382,plain,
! [X0] :
( sz00 = sdtpldt0(X0,smndt0(X0))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f908,plain,
( spl45_81
| ~ spl45_15
| ~ spl45_72 ),
inference(avatar_split_clause,[],[f877,f838,f554,f905]) ).
fof(f905,plain,
( spl45_81
<=> sz00 = sdtasdt0(sK26,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_81])]) ).
fof(f877,plain,
( sz00 = sdtasdt0(sK26,sz00)
| ~ spl45_15
| ~ spl45_72 ),
inference(resolution,[],[f839,f556]) ).
fof(f873,plain,
( spl45_80
| ~ spl45_25
| ~ spl45_42 ),
inference(avatar_split_clause,[],[f708,f688,f604,f870]) ).
fof(f870,plain,
( spl45_80
<=> sP15(xB) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_80])]) ).
fof(f708,plain,
( sP15(xB)
| ~ spl45_25
| ~ spl45_42 ),
inference(resolution,[],[f689,f606]) ).
fof(f868,plain,
spl45_79,
inference(avatar_split_clause,[],[f398,f866]) ).
fof(f398,plain,
! [X0,X1] :
( aSet0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f200]) ).
fof(f864,plain,
spl45_78,
inference(avatar_split_clause,[],[f394,f862]) ).
fof(f394,plain,
! [X0,X1] :
( aInteger0(sK32(X0,X1))
| ~ sP12(X0,X1) ),
inference(cnf_transformation,[],[f195]) ).
fof(f860,plain,
spl45_77,
inference(avatar_split_clause,[],[f381,f858]) ).
fof(f381,plain,
! [X0] :
( sdtpldt0(sz00,X0) = X0
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,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/tmp/tmp.yhOMwMsgGv/Vampire---4.8_6813',mAddZero) ).
fof(f856,plain,
spl45_76,
inference(avatar_split_clause,[],[f380,f854]) ).
fof(f380,plain,
! [X0] :
( sdtpldt0(X0,sz00) = X0
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f852,plain,
spl45_75,
inference(avatar_split_clause,[],[f379,f850]) ).
fof(f379,plain,
! [X0] :
( sdtasdt0(sz10,X0) = X0
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,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/tmp/tmp.yhOMwMsgGv/Vampire---4.8_6813',mMulOne) ).
fof(f848,plain,
spl45_74,
inference(avatar_split_clause,[],[f378,f846]) ).
fof(f378,plain,
! [X0] :
( sdtasdt0(X0,sz10) = X0
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f844,plain,
spl45_73,
inference(avatar_split_clause,[],[f377,f842]) ).
fof(f377,plain,
! [X0] :
( sz00 = sdtasdt0(sz00,X0)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,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/tmp/tmp.yhOMwMsgGv/Vampire---4.8_6813',mMulZero) ).
fof(f840,plain,
spl45_72,
inference(avatar_split_clause,[],[f376,f838]) ).
fof(f376,plain,
! [X0] :
( sz00 = sdtasdt0(X0,sz00)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f836,plain,
spl45_71,
inference(avatar_split_clause,[],[f299,f834]) ).
fof(f834,plain,
( spl45_71
<=> ! [X2,X0,X1] :
( sP5(X0,X1,X2)
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_71])]) ).
fof(f299,plain,
! [X2,X0,X1] :
( sP5(X0,X1,X2)
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f173]) ).
fof(f832,plain,
spl45_70,
inference(avatar_split_clause,[],[f295,f830]) ).
fof(f830,plain,
( spl45_70
<=> ! [X0] :
( aSet0(szAzrzSzezqlpdtcmdtrp0(X0,sK29(X0)))
| ~ sP7(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_70])]) ).
fof(f295,plain,
! [X0] :
( aSet0(szAzrzSzezqlpdtcmdtrp0(X0,sK29(X0)))
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f171]) ).
fof(f828,plain,
( spl45_69
| ~ spl45_23
| ~ spl45_42 ),
inference(avatar_split_clause,[],[f707,f688,f594,f825]) ).
fof(f825,plain,
( spl45_69
<=> sP15(xA) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_69])]) ).
fof(f707,plain,
( sP15(xA)
| ~ spl45_23
| ~ spl45_42 ),
inference(resolution,[],[f689,f596]) ).
fof(f823,plain,
spl45_68,
inference(avatar_split_clause,[],[f283,f821]) ).
fof(f821,plain,
( spl45_68
<=> ! [X2,X0,X1] :
( sP9(X0,X1,X2)
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_68])]) ).
fof(f283,plain,
! [X2,X0,X1] :
( sP9(X0,X1,X2)
| ~ sP10(X0,X1) ),
inference(cnf_transformation,[],[f161]) ).
fof(f819,plain,
spl45_67,
inference(avatar_split_clause,[],[f279,f817]) ).
fof(f817,plain,
( spl45_67
<=> ! [X0] :
( aSet0(szAzrzSzezqlpdtcmdtrp0(X0,sK27(X0)))
| ~ sP11(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_67])]) ).
fof(f279,plain,
! [X0] :
( aSet0(szAzrzSzezqlpdtcmdtrp0(X0,sK27(X0)))
| ~ sP11(X0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f815,plain,
spl45_66,
inference(avatar_split_clause,[],[f251,f813]) ).
fof(f813,plain,
( spl45_66
<=> ! [X2,X0,X1] :
( sP1(X0,X1,X2)
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_66])]) ).
fof(f251,plain,
! [X2,X0,X1] :
( sP1(X0,X1,X2)
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f145]) ).
fof(f807,plain,
spl45_65,
inference(avatar_split_clause,[],[f351,f805]) ).
fof(f351,plain,
! [X5] :
( aElementOf0(X5,cS1395)
| ~ aElementOf0(X5,stldt0(xB)) ),
inference(cnf_transformation,[],[f184]) ).
fof(f803,plain,
spl45_64,
inference(avatar_split_clause,[],[f342,f801]) ).
fof(f342,plain,
! [X8] :
( aElementOf0(X8,cS1395)
| ~ aElementOf0(X8,stldt0(xA)) ),
inference(cnf_transformation,[],[f184]) ).
fof(f799,plain,
spl45_63,
inference(avatar_split_clause,[],[f330,f797]) ).
fof(f330,plain,
! [X1] :
( ~ aElementOf0(X1,xB)
| ~ aElementOf0(X1,stldt0(xB)) ),
inference(cnf_transformation,[],[f182]) ).
fof(f795,plain,
spl45_62,
inference(avatar_split_clause,[],[f323,f793]) ).
fof(f323,plain,
! [X3] :
( ~ aElementOf0(X3,xA)
| ~ aElementOf0(X3,stldt0(xA)) ),
inference(cnf_transformation,[],[f182]) ).
fof(f779,plain,
( ~ spl45_15
| ~ spl45_61
| ~ spl45_19
| spl45_24 ),
inference(avatar_split_clause,[],[f629,f599,f573,f776,f554]) ).
fof(f776,plain,
( spl45_61
<=> aElementOf0(sK26,xA) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_61])]) ).
fof(f599,plain,
( spl45_24
<=> aElementOf0(sK26,sdtbsmnsldt0(xA,xB)) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_24])]) ).
fof(f629,plain,
( ~ aElementOf0(sK26,xA)
| ~ aInteger0(sK26)
| ~ spl45_19
| spl45_24 ),
inference(resolution,[],[f601,f574]) ).
fof(f601,plain,
( ~ aElementOf0(sK26,sdtbsmnsldt0(xA,xB))
| spl45_24 ),
inference(avatar_component_clause,[],[f599]) ).
fof(f774,plain,
spl45_60,
inference(avatar_split_clause,[],[f440,f772]) ).
fof(f772,plain,
( spl45_60
<=> ! [X2,X0,X1] :
( aSet0(X2)
| ~ sP20(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_60])]) ).
fof(f440,plain,
! [X2,X0,X1] :
( aSet0(X2)
| ~ sP20(X0,X1,X2) ),
inference(cnf_transformation,[],[f233]) ).
fof(f770,plain,
spl45_59,
inference(avatar_split_clause,[],[f409,f768]) ).
fof(f409,plain,
! [X0] :
( sP14(X0)
| aElementOf0(sK34(X0),X0) ),
inference(cnf_transformation,[],[f207]) ).
fof(f766,plain,
spl45_58,
inference(avatar_split_clause,[],[f405,f764]) ).
fof(f764,plain,
( spl45_58
<=> ! [X0] :
( isOpen0(X0)
| ~ sP14(X0)
| ~ sP15(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_58])]) ).
fof(f405,plain,
! [X0] :
( isOpen0(X0)
| ~ sP14(X0)
| ~ sP15(X0) ),
inference(cnf_transformation,[],[f202]) ).
fof(f202,plain,
! [X0] :
( ( ( isOpen0(X0)
| ~ sP14(X0) )
& ( sP14(X0)
| ~ isOpen0(X0) ) )
| ~ sP15(X0) ),
inference(nnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0] :
( ( isOpen0(X0)
<=> sP14(X0) )
| ~ sP15(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f762,plain,
spl45_57,
inference(avatar_split_clause,[],[f404,f760]) ).
fof(f760,plain,
( spl45_57
<=> ! [X0] :
( sP14(X0)
| ~ isOpen0(X0)
| ~ sP15(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_57])]) ).
fof(f404,plain,
! [X0] :
( sP14(X0)
| ~ isOpen0(X0)
| ~ sP15(X0) ),
inference(cnf_transformation,[],[f202]) ).
fof(f758,plain,
spl45_56,
inference(avatar_split_clause,[],[f393,f756]) ).
fof(f393,plain,
! [X0,X1] :
( sz00 != X1
| ~ sP12(X0,X1) ),
inference(cnf_transformation,[],[f195]) ).
fof(f754,plain,
spl45_55,
inference(avatar_split_clause,[],[f296,f752]) ).
fof(f752,plain,
( spl45_55
<=> ! [X0] :
( sP6(sK29(X0),X0)
| ~ sP7(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_55])]) ).
fof(f296,plain,
! [X0] :
( sP6(sK29(X0),X0)
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f171]) ).
fof(f750,plain,
spl45_54,
inference(avatar_split_clause,[],[f294,f748]) ).
fof(f748,plain,
( spl45_54
<=> ! [X0] :
( sz00 != sK29(X0)
| ~ sP7(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_54])]) ).
fof(f294,plain,
! [X0] :
( sz00 != sK29(X0)
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f171]) ).
fof(f746,plain,
spl45_53,
inference(avatar_split_clause,[],[f280,f744]) ).
fof(f744,plain,
( spl45_53
<=> ! [X0] :
( sP10(sK27(X0),X0)
| ~ sP11(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_53])]) ).
fof(f280,plain,
! [X0] :
( sP10(sK27(X0),X0)
| ~ sP11(X0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f742,plain,
spl45_52,
inference(avatar_split_clause,[],[f278,f740]) ).
fof(f740,plain,
( spl45_52
<=> ! [X0] :
( sz00 != sK27(X0)
| ~ sP11(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_52])]) ).
fof(f278,plain,
! [X0] :
( sz00 != sK27(X0)
| ~ sP11(X0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f738,plain,
spl45_51,
inference(avatar_split_clause,[],[f332,f736]) ).
fof(f332,plain,
! [X0] :
( sP11(X0)
| ~ aElementOf0(X0,stldt0(xB)) ),
inference(cnf_transformation,[],[f182]) ).
fof(f734,plain,
spl45_50,
inference(avatar_split_clause,[],[f329,f732]) ).
fof(f329,plain,
! [X1] :
( aInteger0(X1)
| ~ aElementOf0(X1,stldt0(xB)) ),
inference(cnf_transformation,[],[f182]) ).
fof(f730,plain,
spl45_49,
inference(avatar_split_clause,[],[f325,f728]) ).
fof(f325,plain,
! [X2] :
( sP7(X2)
| ~ aElementOf0(X2,stldt0(xA)) ),
inference(cnf_transformation,[],[f182]) ).
fof(f726,plain,
spl45_48,
inference(avatar_split_clause,[],[f322,f724]) ).
fof(f322,plain,
! [X3] :
( aInteger0(X3)
| ~ aElementOf0(X3,stldt0(xA)) ),
inference(cnf_transformation,[],[f182]) ).
fof(f722,plain,
spl45_47,
inference(avatar_split_clause,[],[f319,f720]) ).
fof(f319,plain,
! [X4] :
( aElementOf0(X4,cS1395)
| ~ aElementOf0(X4,xB) ),
inference(cnf_transformation,[],[f182]) ).
fof(f718,plain,
spl45_46,
inference(avatar_split_clause,[],[f313,f716]) ).
fof(f313,plain,
! [X6] :
( aElementOf0(X6,cS1395)
| ~ aElementOf0(X6,xA) ),
inference(cnf_transformation,[],[f182]) ).
fof(f703,plain,
spl45_45,
inference(avatar_split_clause,[],[f421,f701]) ).
fof(f421,plain,
! [X0] :
( sP17(X0)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0] :
( sP17(X0)
| ~ aSubsetOf0(X0,cS1395) ),
inference(definition_folding,[],[f68,f128,f127]) ).
fof(f68,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/tmp/tmp.yhOMwMsgGv/Vampire---4.8_6813',mComplement) ).
fof(f699,plain,
spl45_44,
inference(avatar_split_clause,[],[f414,f697]) ).
fof(f697,plain,
( spl45_44
<=> ! [X0,X1] :
( aSet0(X1)
| ~ sP16(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_44])]) ).
fof(f414,plain,
! [X0,X1] :
( aSet0(X1)
| ~ sP16(X0,X1) ),
inference(cnf_transformation,[],[f213]) ).
fof(f695,plain,
( spl45_43
| ~ spl45_15
| ~ spl45_34 ),
inference(avatar_split_clause,[],[f661,f651,f554,f692]) ).
fof(f692,plain,
( spl45_43
<=> sP13(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_43])]) ).
fof(f661,plain,
( sP13(sK26)
| ~ spl45_15
| ~ spl45_34 ),
inference(resolution,[],[f652,f556]) ).
fof(f690,plain,
spl45_42,
inference(avatar_split_clause,[],[f411,f688]) ).
fof(f411,plain,
! [X0] :
( sP15(X0)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0] :
( sP15(X0)
| ~ aSubsetOf0(X0,cS1395) ),
inference(definition_folding,[],[f67,f125,f124]) ).
fof(f67,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/tmp/tmp.yhOMwMsgGv/Vampire---4.8_6813',mOpen) ).
fof(f686,plain,
spl45_41,
inference(avatar_split_clause,[],[f392,f684]) ).
fof(f684,plain,
( spl45_41
<=> ! [X0,X1] :
( aInteger0(X1)
| ~ sP12(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_41])]) ).
fof(f392,plain,
! [X0,X1] :
( aInteger0(X1)
| ~ sP12(X0,X1) ),
inference(cnf_transformation,[],[f195]) ).
fof(f682,plain,
spl45_40,
inference(avatar_split_clause,[],[f375,f680]) ).
fof(f375,plain,
! [X0] :
( aInteger0(smndt0(X0))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0] :
( aInteger0(smndt0(X0))
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( aInteger0(X0)
=> aInteger0(smndt0(X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.yhOMwMsgGv/Vampire---4.8_6813',mIntNeg) ).
fof(f678,plain,
spl45_39,
inference(avatar_split_clause,[],[f293,f676]) ).
fof(f293,plain,
! [X0] :
( aInteger0(sK29(X0))
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f171]) ).
fof(f674,plain,
spl45_38,
inference(avatar_split_clause,[],[f277,f672]) ).
fof(f277,plain,
! [X0] :
( aInteger0(sK27(X0))
| ~ sP11(X0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f669,plain,
spl45_37,
inference(avatar_split_clause,[],[f317,f667]) ).
fof(f317,plain,
! [X5] :
( aElementOf0(X5,cS1395)
| ~ aInteger0(X5) ),
inference(cnf_transformation,[],[f182]) ).
fof(f665,plain,
spl45_36,
inference(avatar_split_clause,[],[f316,f663]) ).
fof(f316,plain,
! [X5] :
( aInteger0(X5)
| ~ aElementOf0(X5,cS1395) ),
inference(cnf_transformation,[],[f182]) ).
fof(f658,plain,
( ~ spl45_15
| ~ spl45_35
| ~ spl45_20
| spl45_24 ),
inference(avatar_split_clause,[],[f628,f599,f577,f655,f554]) ).
fof(f655,plain,
( spl45_35
<=> aElementOf0(sK26,xB) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_35])]) ).
fof(f628,plain,
( ~ aElementOf0(sK26,xB)
| ~ aInteger0(sK26)
| ~ spl45_20
| spl45_24 ),
inference(resolution,[],[f601,f578]) ).
fof(f653,plain,
spl45_34,
inference(avatar_split_clause,[],[f397,f651]) ).
fof(f397,plain,
! [X0] :
( sP13(X0)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0] :
( sP13(X0)
| ~ aInteger0(X0) ),
inference(definition_folding,[],[f64,f122,f121]) ).
fof(f64,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/tmp/tmp.yhOMwMsgGv/Vampire---4.8_6813',mDivisor) ).
fof(f649,plain,
spl45_33,
inference(avatar_split_clause,[],[f352,f646]) ).
fof(f352,plain,
aSubsetOf0(stldt0(xB),cS1395),
inference(cnf_transformation,[],[f184]) ).
fof(f644,plain,
spl45_32,
inference(avatar_split_clause,[],[f343,f641]) ).
fof(f343,plain,
aSubsetOf0(stldt0(xA),cS1395),
inference(cnf_transformation,[],[f184]) ).
fof(f637,plain,
spl45_31,
inference(avatar_split_clause,[],[f274,f635]) ).
fof(f274,plain,
! [X1] :
( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sK26,X1),stldt0(sdtbsmnsldt0(xA,xB)))
| sz00 = X1
| ~ aInteger0(X1) ),
inference(cnf_transformation,[],[f156]) ).
fof(f156,plain,
( ~ isClosed0(sdtbsmnsldt0(xA,xB))
& ~ isOpen0(stldt0(sdtbsmnsldt0(xA,xB)))
& ! [X1] :
( ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sK26,X1),stldt0(sdtbsmnsldt0(xA,xB)))
& sP3(X1,sK26)
& sP2(X1,sK26)
& aSet0(szAzrzSzezqlpdtcmdtrp0(sK26,X1)) )
| sz00 = X1
| ~ aInteger0(X1) )
& aElementOf0(sK26,stldt0(sdtbsmnsldt0(xA,xB)))
& ! [X2] :
( ( aElementOf0(X2,stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0(X2,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(X2) )
& ( ( ~ aElementOf0(X2,sdtbsmnsldt0(xA,xB))
& aInteger0(X2) )
| ~ aElementOf0(X2,stldt0(sdtbsmnsldt0(xA,xB))) ) )
& aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
& ! [X3] :
( ( aElementOf0(X3,sdtbsmnsldt0(xA,xB))
| ( ~ aElementOf0(X3,xB)
& ~ aElementOf0(X3,xA) )
| ~ aInteger0(X3) )
& ( ( ( aElementOf0(X3,xB)
| aElementOf0(X3,xA) )
& aInteger0(X3) )
| ~ aElementOf0(X3,sdtbsmnsldt0(xA,xB)) ) )
& aSet0(sdtbsmnsldt0(xA,xB)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK26])],[f154,f155]) ).
fof(f155,plain,
( ? [X0] :
( ! [X1] :
( ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(sdtbsmnsldt0(xA,xB)))
& sP3(X1,X0)
& sP2(X1,X0)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
| sz00 = X1
| ~ aInteger0(X1) )
& aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB))) )
=> ( ! [X1] :
( ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sK26,X1),stldt0(sdtbsmnsldt0(xA,xB)))
& sP3(X1,sK26)
& sP2(X1,sK26)
& aSet0(szAzrzSzezqlpdtcmdtrp0(sK26,X1)) )
| sz00 = X1
| ~ aInteger0(X1) )
& aElementOf0(sK26,stldt0(sdtbsmnsldt0(xA,xB))) ) ),
introduced(choice_axiom,[]) ).
fof(f154,plain,
( ~ isClosed0(sdtbsmnsldt0(xA,xB))
& ~ isOpen0(stldt0(sdtbsmnsldt0(xA,xB)))
& ? [X0] :
( ! [X1] :
( ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(sdtbsmnsldt0(xA,xB)))
& sP3(X1,X0)
& sP2(X1,X0)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
| sz00 = X1
| ~ aInteger0(X1) )
& aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB))) )
& ! [X2] :
( ( aElementOf0(X2,stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0(X2,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(X2) )
& ( ( ~ aElementOf0(X2,sdtbsmnsldt0(xA,xB))
& aInteger0(X2) )
| ~ aElementOf0(X2,stldt0(sdtbsmnsldt0(xA,xB))) ) )
& aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
& ! [X3] :
( ( aElementOf0(X3,sdtbsmnsldt0(xA,xB))
| ( ~ aElementOf0(X3,xB)
& ~ aElementOf0(X3,xA) )
| ~ aInteger0(X3) )
& ( ( ( aElementOf0(X3,xB)
| aElementOf0(X3,xA) )
& aInteger0(X3) )
| ~ aElementOf0(X3,sdtbsmnsldt0(xA,xB)) ) )
& aSet0(sdtbsmnsldt0(xA,xB)) ),
inference(rectify,[],[f153]) ).
fof(f153,plain,
( ~ isClosed0(sdtbsmnsldt0(xA,xB))
& ~ isOpen0(stldt0(sdtbsmnsldt0(xA,xB)))
& ? [X2] :
( ! [X3] :
( ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X2,X3),stldt0(sdtbsmnsldt0(xA,xB)))
& sP3(X3,X2)
& sP2(X3,X2)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X2,X3)) )
| sz00 = X3
| ~ aInteger0(X3) )
& aElementOf0(X2,stldt0(sdtbsmnsldt0(xA,xB))) )
& ! [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))) ) )
& aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
& ! [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)) ) )
& aSet0(sdtbsmnsldt0(xA,xB)) ),
inference(flattening,[],[f152]) ).
fof(f152,plain,
( ~ isClosed0(sdtbsmnsldt0(xA,xB))
& ~ isOpen0(stldt0(sdtbsmnsldt0(xA,xB)))
& ? [X2] :
( ! [X3] :
( ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X2,X3),stldt0(sdtbsmnsldt0(xA,xB)))
& sP3(X3,X2)
& sP2(X3,X2)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X2,X3)) )
| sz00 = X3
| ~ aInteger0(X3) )
& aElementOf0(X2,stldt0(sdtbsmnsldt0(xA,xB))) )
& ! [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))) ) )
& aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
& ! [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)) ) )
& aSet0(sdtbsmnsldt0(xA,xB)) ),
inference(nnf_transformation,[],[f111]) ).
fof(f111,plain,
( ~ isClosed0(sdtbsmnsldt0(xA,xB))
& ~ isOpen0(stldt0(sdtbsmnsldt0(xA,xB)))
& ? [X2] :
( ! [X3] :
( ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X2,X3),stldt0(sdtbsmnsldt0(xA,xB)))
& sP3(X3,X2)
& sP2(X3,X2)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X2,X3)) )
| sz00 = X3
| ~ aInteger0(X3) )
& aElementOf0(X2,stldt0(sdtbsmnsldt0(xA,xB))) )
& ! [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)) ),
inference(definition_folding,[],[f53,f110,f109,f108,f107]) ).
fof(f53,plain,
( ~ isClosed0(sdtbsmnsldt0(xA,xB))
& ~ isOpen0(stldt0(sdtbsmnsldt0(xA,xB)))
& ? [X2] :
( ! [X3] :
( ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X2,X3),stldt0(sdtbsmnsldt0(xA,xB)))
& ? [X7] :
( ~ aElementOf0(X7,stldt0(sdtbsmnsldt0(xA,xB)))
& aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(X2,X3)) )
& ! [X4] :
( ( aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3))
| ( ~ sdteqdtlpzmzozddtrp0(X4,X2,X3)
& ~ aDivisorOf0(X3,sdtpldt0(X4,smndt0(X2)))
& ! [X5] :
( sdtpldt0(X4,smndt0(X2)) != sdtasdt0(X3,X5)
| ~ aInteger0(X5) ) )
| ~ aInteger0(X4) )
& ( ( sdteqdtlpzmzozddtrp0(X4,X2,X3)
& aDivisorOf0(X3,sdtpldt0(X4,smndt0(X2)))
& ? [X6] :
( sdtpldt0(X4,smndt0(X2)) = sdtasdt0(X3,X6)
& aInteger0(X6) )
& aInteger0(X4) )
| ~ aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X2,X3)) )
| sz00 = X3
| ~ aInteger0(X3) )
& aElementOf0(X2,stldt0(sdtbsmnsldt0(xA,xB))) )
& ! [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)) ),
inference(flattening,[],[f52]) ).
fof(f52,plain,
( ~ isClosed0(sdtbsmnsldt0(xA,xB))
& ~ isOpen0(stldt0(sdtbsmnsldt0(xA,xB)))
& ? [X2] :
( ! [X3] :
( ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X2,X3),stldt0(sdtbsmnsldt0(xA,xB)))
& ? [X7] :
( ~ aElementOf0(X7,stldt0(sdtbsmnsldt0(xA,xB)))
& aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(X2,X3)) )
& ! [X4] :
( ( aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3))
| ( ~ sdteqdtlpzmzozddtrp0(X4,X2,X3)
& ~ aDivisorOf0(X3,sdtpldt0(X4,smndt0(X2)))
& ! [X5] :
( sdtpldt0(X4,smndt0(X2)) != sdtasdt0(X3,X5)
| ~ aInteger0(X5) ) )
| ~ aInteger0(X4) )
& ( ( sdteqdtlpzmzozddtrp0(X4,X2,X3)
& aDivisorOf0(X3,sdtpldt0(X4,smndt0(X2)))
& ? [X6] :
( sdtpldt0(X4,smndt0(X2)) = sdtasdt0(X3,X6)
& aInteger0(X6) )
& aInteger0(X4) )
| ~ aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X2,X3)) )
| sz00 = X3
| ~ aInteger0(X3) )
& aElementOf0(X2,stldt0(sdtbsmnsldt0(xA,xB))) )
& ! [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)) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,plain,
~ ( ( ! [X0] :
( aElementOf0(X0,sdtbsmnsldt0(xA,xB))
<=> ( ( aElementOf0(X0,xB)
| aElementOf0(X0,xA) )
& aInteger0(X0) ) )
& aSet0(sdtbsmnsldt0(xA,xB)) )
=> ( isClosed0(sdtbsmnsldt0(xA,xB))
| ( ( ! [X1] :
( aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( ~ aElementOf0(X1,sdtbsmnsldt0(xA,xB))
& aInteger0(X1) ) )
& aSet0(stldt0(sdtbsmnsldt0(xA,xB))) )
=> ( isOpen0(stldt0(sdtbsmnsldt0(xA,xB)))
| ! [X2] :
( aElementOf0(X2,stldt0(sdtbsmnsldt0(xA,xB)))
=> ? [X3] :
( ( ( ! [X4] :
( ( ( ( sdteqdtlpzmzozddtrp0(X4,X2,X3)
| aDivisorOf0(X3,sdtpldt0(X4,smndt0(X2)))
| ? [X5] :
( sdtpldt0(X4,smndt0(X2)) = sdtasdt0(X3,X5)
& aInteger0(X5) ) )
& aInteger0(X4) )
=> aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3)) )
& ( aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3))
=> ( sdteqdtlpzmzozddtrp0(X4,X2,X3)
& aDivisorOf0(X3,sdtpldt0(X4,smndt0(X2)))
& ? [X6] :
( sdtpldt0(X4,smndt0(X2)) = sdtasdt0(X3,X6)
& aInteger0(X6) )
& aInteger0(X4) ) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X2,X3)) )
=> ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X2,X3),stldt0(sdtbsmnsldt0(xA,xB)))
| ! [X7] :
( aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(X2,X3))
=> aElementOf0(X7,stldt0(sdtbsmnsldt0(xA,xB))) ) ) )
& sz00 != X3
& aInteger0(X3) ) ) ) ) ) ),
inference(rectify,[],[f42]) ).
fof(f42,negated_conjecture,
~ ( ( ! [X0] :
( aElementOf0(X0,sdtbsmnsldt0(xA,xB))
<=> ( ( aElementOf0(X0,xB)
| aElementOf0(X0,xA) )
& aInteger0(X0) ) )
& aSet0(sdtbsmnsldt0(xA,xB)) )
=> ( isClosed0(sdtbsmnsldt0(xA,xB))
| ( ( ! [X0] :
( aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( ~ aElementOf0(X0,sdtbsmnsldt0(xA,xB))
& aInteger0(X0) ) )
& aSet0(stldt0(sdtbsmnsldt0(xA,xB))) )
=> ( isOpen0(stldt0(sdtbsmnsldt0(xA,xB)))
| ! [X0] :
( aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))
=> ? [X1] :
( ( ( ! [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)) )
=> ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(sdtbsmnsldt0(xA,xB)))
| ! [X2] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
=> aElementOf0(X2,stldt0(sdtbsmnsldt0(xA,xB))) ) ) )
& sz00 != X1
& aInteger0(X1) ) ) ) ) ) ),
inference(negated_conjecture,[],[f41]) ).
fof(f41,conjecture,
( ( ! [X0] :
( aElementOf0(X0,sdtbsmnsldt0(xA,xB))
<=> ( ( aElementOf0(X0,xB)
| aElementOf0(X0,xA) )
& aInteger0(X0) ) )
& aSet0(sdtbsmnsldt0(xA,xB)) )
=> ( isClosed0(sdtbsmnsldt0(xA,xB))
| ( ( ! [X0] :
( aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( ~ aElementOf0(X0,sdtbsmnsldt0(xA,xB))
& aInteger0(X0) ) )
& aSet0(stldt0(sdtbsmnsldt0(xA,xB))) )
=> ( isOpen0(stldt0(sdtbsmnsldt0(xA,xB)))
| ! [X0] :
( aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))
=> ? [X1] :
( ( ( ! [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)) )
=> ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(sdtbsmnsldt0(xA,xB)))
| ! [X2] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
=> aElementOf0(X2,stldt0(sdtbsmnsldt0(xA,xB))) ) ) )
& sz00 != X1
& aInteger0(X1) ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.yhOMwMsgGv/Vampire---4.8_6813',m__) ).
fof(f633,plain,
spl45_30,
inference(avatar_split_clause,[],[f269,f631]) ).
fof(f269,plain,
! [X2] :
( aElementOf0(X2,stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0(X2,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(X2) ),
inference(cnf_transformation,[],[f156]) ).
fof(f627,plain,
spl45_29,
inference(avatar_split_clause,[],[f333,f624]) ).
fof(f333,plain,
isOpen0(stldt0(xB)),
inference(cnf_transformation,[],[f182]) ).
fof(f622,plain,
spl45_28,
inference(avatar_split_clause,[],[f328,f619]) ).
fof(f328,plain,
aSet0(stldt0(xB)),
inference(cnf_transformation,[],[f182]) ).
fof(f617,plain,
spl45_27,
inference(avatar_split_clause,[],[f326,f614]) ).
fof(f326,plain,
isOpen0(stldt0(xA)),
inference(cnf_transformation,[],[f182]) ).
fof(f612,plain,
spl45_26,
inference(avatar_split_clause,[],[f321,f609]) ).
fof(f321,plain,
aSet0(stldt0(xA)),
inference(cnf_transformation,[],[f182]) ).
fof(f607,plain,
spl45_25,
inference(avatar_split_clause,[],[f320,f604]) ).
fof(f320,plain,
aSubsetOf0(xB,cS1395),
inference(cnf_transformation,[],[f182]) ).
fof(f602,plain,
( ~ spl45_24
| ~ spl45_5
| ~ spl45_22 ),
inference(avatar_split_clause,[],[f592,f587,f507,f599]) ).
fof(f592,plain,
( ~ aElementOf0(sK26,sdtbsmnsldt0(xA,xB))
| ~ spl45_5
| ~ spl45_22 ),
inference(resolution,[],[f588,f509]) ).
fof(f597,plain,
spl45_23,
inference(avatar_split_clause,[],[f314,f594]) ).
fof(f314,plain,
aSubsetOf0(xA,cS1395),
inference(cnf_transformation,[],[f182]) ).
fof(f589,plain,
spl45_22,
inference(avatar_split_clause,[],[f268,f587]) ).
fof(f268,plain,
! [X2] :
( ~ aElementOf0(X2,sdtbsmnsldt0(xA,xB))
| ~ aElementOf0(X2,stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(cnf_transformation,[],[f156]) ).
fof(f585,plain,
spl45_21,
inference(avatar_split_clause,[],[f263,f583]) ).
fof(f263,plain,
! [X3] :
( aElementOf0(X3,xB)
| aElementOf0(X3,xA)
| ~ aElementOf0(X3,sdtbsmnsldt0(xA,xB)) ),
inference(cnf_transformation,[],[f156]) ).
fof(f579,plain,
spl45_20,
inference(avatar_split_clause,[],[f265,f577]) ).
fof(f265,plain,
! [X3] :
( aElementOf0(X3,sdtbsmnsldt0(xA,xB))
| ~ aElementOf0(X3,xB)
| ~ aInteger0(X3) ),
inference(cnf_transformation,[],[f156]) ).
fof(f575,plain,
spl45_19,
inference(avatar_split_clause,[],[f264,f573]) ).
fof(f264,plain,
! [X3] :
( aElementOf0(X3,sdtbsmnsldt0(xA,xB))
| ~ aElementOf0(X3,xA)
| ~ aInteger0(X3) ),
inference(cnf_transformation,[],[f156]) ).
fof(f571,plain,
spl45_18,
inference(avatar_split_clause,[],[f271,f569]) ).
fof(f569,plain,
( spl45_18
<=> ! [X1] :
( aSet0(szAzrzSzezqlpdtcmdtrp0(sK26,X1))
| sz00 = X1
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_18])]) ).
fof(f271,plain,
! [X1] :
( aSet0(szAzrzSzezqlpdtcmdtrp0(sK26,X1))
| sz00 = X1
| ~ aInteger0(X1) ),
inference(cnf_transformation,[],[f156]) ).
fof(f567,plain,
spl45_17,
inference(avatar_split_clause,[],[f374,f564]) ).
fof(f374,plain,
aInteger0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
aInteger0(sz00),
file('/export/starexec/sandbox2/tmp/tmp.yhOMwMsgGv/Vampire---4.8_6813',mIntZero) ).
fof(f562,plain,
spl45_16,
inference(avatar_split_clause,[],[f373,f559]) ).
fof(f373,plain,
aInteger0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
aInteger0(sz10),
file('/export/starexec/sandbox2/tmp/tmp.yhOMwMsgGv/Vampire---4.8_6813',mIntOne) ).
fof(f557,plain,
( spl45_15
| ~ spl45_5
| ~ spl45_7 ),
inference(avatar_split_clause,[],[f527,f516,f507,f554]) ).
fof(f527,plain,
( aInteger0(sK26)
| ~ spl45_5
| ~ spl45_7 ),
inference(resolution,[],[f517,f509]) ).
fof(f552,plain,
spl45_14,
inference(avatar_split_clause,[],[f334,f549]) ).
fof(f549,plain,
( spl45_14
<=> isClosed0(xB) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_14])]) ).
fof(f334,plain,
isClosed0(xB),
inference(cnf_transformation,[],[f182]) ).
fof(f547,plain,
spl45_13,
inference(avatar_split_clause,[],[f327,f544]) ).
fof(f544,plain,
( spl45_13
<=> isClosed0(xA) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_13])]) ).
fof(f327,plain,
isClosed0(xA),
inference(cnf_transformation,[],[f182]) ).
fof(f542,plain,
spl45_12,
inference(avatar_split_clause,[],[f318,f539]) ).
fof(f318,plain,
aSet0(xB),
inference(cnf_transformation,[],[f182]) ).
fof(f537,plain,
spl45_11,
inference(avatar_split_clause,[],[f315,f534]) ).
fof(f315,plain,
aSet0(cS1395),
inference(cnf_transformation,[],[f182]) ).
fof(f532,plain,
spl45_10,
inference(avatar_split_clause,[],[f312,f529]) ).
fof(f312,plain,
aSet0(xA),
inference(cnf_transformation,[],[f182]) ).
fof(f526,plain,
spl45_9,
inference(avatar_split_clause,[],[f273,f524]) ).
fof(f524,plain,
( spl45_9
<=> ! [X1] :
( sP3(X1,sK26)
| sz00 = X1
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_9])]) ).
fof(f273,plain,
! [X1] :
( sP3(X1,sK26)
| sz00 = X1
| ~ aInteger0(X1) ),
inference(cnf_transformation,[],[f156]) ).
fof(f522,plain,
spl45_8,
inference(avatar_split_clause,[],[f272,f520]) ).
fof(f520,plain,
( spl45_8
<=> ! [X1] :
( sP2(X1,sK26)
| sz00 = X1
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_8])]) ).
fof(f272,plain,
! [X1] :
( sP2(X1,sK26)
| sz00 = X1
| ~ aInteger0(X1) ),
inference(cnf_transformation,[],[f156]) ).
fof(f518,plain,
spl45_7,
inference(avatar_split_clause,[],[f267,f516]) ).
fof(f267,plain,
! [X2] :
( aInteger0(X2)
| ~ aElementOf0(X2,stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(cnf_transformation,[],[f156]) ).
fof(f514,plain,
spl45_6,
inference(avatar_split_clause,[],[f262,f512]) ).
fof(f262,plain,
! [X3] :
( aInteger0(X3)
| ~ aElementOf0(X3,sdtbsmnsldt0(xA,xB)) ),
inference(cnf_transformation,[],[f156]) ).
fof(f510,plain,
spl45_5,
inference(avatar_split_clause,[],[f270,f507]) ).
fof(f270,plain,
aElementOf0(sK26,stldt0(sdtbsmnsldt0(xA,xB))),
inference(cnf_transformation,[],[f156]) ).
fof(f505,plain,
~ spl45_4,
inference(avatar_split_clause,[],[f275,f502]) ).
fof(f275,plain,
~ isOpen0(stldt0(sdtbsmnsldt0(xA,xB))),
inference(cnf_transformation,[],[f156]) ).
fof(f500,plain,
spl45_3,
inference(avatar_split_clause,[],[f266,f497]) ).
fof(f266,plain,
aSet0(stldt0(sdtbsmnsldt0(xA,xB))),
inference(cnf_transformation,[],[f156]) ).
fof(f495,plain,
~ spl45_2,
inference(avatar_split_clause,[],[f276,f492]) ).
fof(f492,plain,
( spl45_2
<=> isClosed0(sdtbsmnsldt0(xA,xB)) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_2])]) ).
fof(f276,plain,
~ isClosed0(sdtbsmnsldt0(xA,xB)),
inference(cnf_transformation,[],[f156]) ).
fof(f490,plain,
spl45_1,
inference(avatar_split_clause,[],[f261,f487]) ).
fof(f261,plain,
aSet0(sdtbsmnsldt0(xA,xB)),
inference(cnf_transformation,[],[f156]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.15 % Problem : NUM441+6 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.16 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.18/0.36 % Computer : n002.cluster.edu
% 0.18/0.36 % Model : x86_64 x86_64
% 0.18/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.36 % Memory : 8042.1875MB
% 0.18/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.36 % CPULimit : 300
% 0.18/0.36 % WCLimit : 300
% 0.18/0.36 % DateTime : Wed Aug 30 15:27:51 EDT 2023
% 0.18/0.36 % CPUTime :
% 0.18/0.42 % (6922)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.43 % (6924)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.18/0.43 % (6927)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.18/0.43 % (6928)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 Vampire---4 for (531ds/0Mi)
% 0.18/0.43 % (6929)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 Vampire---4 for (522ds/0Mi)
% 0.18/0.43 % (6926)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 Vampire---4 for (569ds/0Mi)
% 0.18/0.43 % (6930)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 Vampire---4 for (497ds/0Mi)
% 0.18/0.43 % (6923)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.18/0.44 TRYING [1]
% 0.18/0.44 TRYING [2]
% 0.18/0.44 TRYING [1]
% 0.18/0.44 TRYING [2]
% 0.18/0.45 TRYING [3]
% 0.18/0.46 TRYING [1]
% 0.18/0.46 TRYING [3]
% 0.18/0.46 TRYING [2]
% 0.18/0.48 TRYING [3]
% 0.18/0.50 TRYING [4]
% 0.18/0.52 TRYING [4]
% 0.18/0.53 TRYING [4]
% 0.18/0.64 TRYING [5]
% 0.18/0.65 TRYING [5]
% 0.18/0.71 TRYING [5]
% 3.11/0.87 % (6928)First to succeed.
% 3.11/0.90 % (6928)Refutation found. Thanks to Tanya!
% 3.11/0.90 % SZS status Theorem for Vampire---4
% 3.11/0.90 % SZS output start Proof for Vampire---4
% See solution above
% 3.11/0.92 % (6928)------------------------------
% 3.11/0.92 % (6928)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 3.11/0.92 % (6928)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 3.11/0.92 % (6928)Termination reason: Refutation
% 3.11/0.92
% 3.11/0.92 % (6928)Memory used [KB]: 19701
% 3.11/0.92 % (6928)Time elapsed: 0.469 s
% 3.11/0.92 % (6928)------------------------------
% 3.11/0.92 % (6928)------------------------------
% 3.11/0.92 % (6922)Success in time 0.539 s
% 3.11/0.92 % Vampire---4.8 exiting
%------------------------------------------------------------------------------