TSTP Solution File: RNG092+2 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : RNG092+2 : 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 : n020.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 21:59:40 EDT 2023
% Result : Theorem 18.79s 3.09s
% Output : Refutation 18.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 482
% Syntax : Number of formulae : 2499 ( 24 unt; 0 def)
% Number of atoms : 7651 (1328 equ)
% Maximal formula atoms : 39 ( 3 avg)
% Number of connectives : 8984 (3832 ~;4108 |; 502 &)
% ( 462 <=>; 80 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 447 ( 445 usr; 434 prp; 0-5 aty)
% Number of functors : 33 ( 33 usr; 7 con; 0-5 aty)
% Number of variables : 1812 (;1639 !; 173 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12851,plain,
$false,
inference(avatar_smt_refutation,[],[f238,f243,f248,f253,f258,f263,f268,f273,f278,f283,f294,f301,f306,f313,f318,f324,f341,f346,f351,f356,f361,f366,f379,f384,f389,f402,f403,f406,f409,f418,f432,f437,f445,f446,f466,f471,f480,f481,f493,f498,f516,f517,f530,f544,f555,f556,f570,f575,f588,f593,f598,f603,f608,f613,f620,f625,f626,f631,f632,f637,f638,f641,f646,f651,f652,f657,f664,f669,f674,f679,f684,f689,f694,f699,f711,f716,f721,f726,f738,f739,f748,f749,f766,f768,f777,f782,f803,f808,f813,f821,f836,f888,f893,f898,f903,f908,f943,f948,f953,f958,f967,f972,f977,f982,f1047,f1052,f1053,f1063,f1064,f1083,f1088,f1114,f1131,f1132,f1151,f1167,f1191,f1192,f1212,f1217,f1236,f1241,f1246,f1255,f1261,f1268,f1274,f1279,f1286,f1291,f1296,f1301,f1377,f1378,f1379,f1380,f1381,f1391,f1462,f1463,f1473,f1484,f1493,f1504,f1507,f1525,f1541,f1641,f1667,f1672,f1695,f1700,f1705,f1710,f1715,f1771,f1777,f1787,f1799,f1844,f1870,f1880,f1892,f1893,f1921,f1923,f1994,f2026,f2028,f2066,f2070,f2072,f2074,f2076,f2078,f2080,f2082,f2084,f2086,f2088,f2090,f2155,f2168,f2186,f2192,f2201,f2212,f2230,f2231,f2259,f2261,f2337,f2338,f2353,f2403,f2415,f2430,f2443,f2486,f2498,f2513,f2530,f2575,f2590,f2605,f2620,f2664,f2677,f2697,f2733,f2738,f2860,f2871,f2919,f2924,f2962,f3010,f3015,f3039,f3070,f3077,f3105,f3137,f3177,f3180,f3212,f3217,f3244,f3249,f3254,f3308,f3347,f3364,f3408,f3409,f3450,f3460,f3602,f3604,f3751,f3804,f3826,f3940,f3941,f3994,f4010,f4096,f4164,f4266,f4284,f4310,f4311,f4413,f4504,f4509,f4514,f4547,f4567,f4593,f4594,f4672,f4681,f4701,f4824,f4844,f4870,f4873,f4981,f5033,f5075,f5084,f5108,f5135,f5138,f5141,f5142,f5231,f5241,f5415,f5571,f5678,f5684,f5692,f5697,f5806,f5811,f5817,f5822,f5898,f5904,f5950,f5955,f6089,f6135,f6166,f6167,f6168,f6169,f6170,f6171,f6172,f6173,f6174,f6175,f6176,f6177,f6178,f6179,f6206,f6223,f6233,f6282,f6313,f6349,f6352,f6353,f6354,f6542,f6584,f6591,f6671,f6734,f6778,f6783,f6788,f6793,f6798,f6803,f6808,f6813,f6818,f6823,f6828,f6894,f6948,f6953,f6958,f7238,f7239,f7249,f7253,f7260,f7296,f7301,f7463,f7468,f7473,f7478,f7483,f7488,f7623,f7624,f7625,f7638,f7645,f7773,f7781,f7786,f7799,f7804,f7901,f7938,f7981,f7986,f7993,f8060,f8095,f8100,f8124,f8162,f8205,f8210,f8217,f8254,f8350,f8364,f8369,f8376,f8414,f8508,f8513,f8518,f8523,f8528,f8533,f8541,f8557,f8608,f8621,f8629,f8636,f8675,f8751,f8771,f8776,f8781,f8786,f8791,f8798,f8803,f8808,f8816,f8944,f8949,f8954,f8959,f9047,f9052,f9057,f9062,f9105,f9155,f9189,f9194,f9203,f9285,f9290,f9295,f9347,f9352,f9357,f9362,f9367,f9372,f9377,f9382,f9387,f9553,f9560,f9565,f9570,f9628,f9633,f9638,f9643,f9708,f9715,f9818,f9823,f9846,f9851,f9921,f9926,f9949,f9954,f10026,f10042,f10047,f10070,f10075,f10098,f10103,f10176,f10181,f10206,f10211,f10236,f10243,f10270,f10275,f10349,f10383,f10388,f10413,f10418,f10444,f10468,f10541,f10546,f10551,f10583,f10588,f10593,f10616,f10621,f10644,f10649,f10800,f10805,f10828,f10833,f10856,f10949,f10954,f10959,f11039,f11044,f11049,f11091,f11092,f11093,f11165,f11178,f11183,f11188,f11240,f11284,f11289,f11364,f11369,f11446,f11451,f11476,f11548,f11573,f11592,f11597,f11602,f11706,f11711,f11716,f11721,f11748,f11803,f11808,f11863,f11868,f12020,f12033,f12038,f12045,f12152,f12213,f12220,f12225,f12230,f12235,f12329,f12334,f12440,f12447,f12501,f12559,f12562,f12565,f12566,f12766,f12819,f12820,f12835,f12848,f12850]) ).
fof(f12850,plain,
( ~ spl32_12
| ~ spl32_17
| ~ spl32_189
| ~ spl32_195 ),
inference(avatar_contradiction_clause,[],[f12849]) ).
fof(f12849,plain,
( $false
| ~ spl32_12
| ~ spl32_17
| ~ spl32_189
| ~ spl32_195 ),
inference(global_subsumption,[],[f293,f165,f164,f167,f170,f171,f174,f175,f176,f177,f156,f166,f161,f196,f179,f162,f206,f157,f158,f178,f180,f181,f182,f183,f184,f185,f213,f146,f147,f149,f150,f186,f187,f197,f198,f199,f225,f851,f852,f226,f913,f914,f915,f916,f142,f794,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f144,f369,f1029,f1030,f1031,f1042,f188,f1093,f1094,f1107,f189,f1172,f1173,f1186,f159,f169,f173,f130,f131,f191,f1544,f207,f208,f168,f172,f139,f140,f190,f1927,f222,f227,f1972,f1975,f1976,f1989,f228,f2129,f2133,f2134,f2146,f192,f2170,f2171,f2172,f2173,f204,f205,f155,f2271,f2273,f2274,f160,f143,f145,f209,f214,f215,f223,f134,f135,f148,f151,f193,f132,f194,f224,f229,f133,f137,f138,f218,f3042,f3043,f3044,f3045,f3046,f3047,f3048,f3049,f3050,f3051,f219,f3078,f3079,f3080,f3081,f3082,f3083,f3084,f3085,f3086,f3087,f153,f3163,f3165,f3166,f3167,f3168,f3169,f3170,f154,f3230,f3232,f3233,f3234,f3235,f3236,f3237,f195,f200,f3329,f3328,f201,f202,f3400,f203,f230,f3464,f3470,f3471,f3488,f231,f3491,f3497,f3498,f3515,f210,f3531,f3538,f3524,f3525,f3526,f3527,f3528,f3529,f211,f3557,f3564,f3550,f3551,f3552,f3553,f3554,f3555,f216,f217,f3733,f232,f3771,f3777,f3778,f3793,f233,f3853,f3858,f3859,f3874,f136,f3875,f152,f3918,f212,f220,f4012,f4013,f4014,f4015,f4016,f4017,f4018,f221,f141,f4085,f4265,f2865,f2866,f392,f4946,f4953,f4954,f4973,f1969,f421,f5826,f5832,f5835,f5853,f455,f5913,f5919,f5922,f5940,f505,f5960,f5966,f5969,f5987,f533,f6092,f6098,f6101,f6119,f2196,f6967,f6969,f6970,f6971,f1545,f1546,f2310,f7526,f7527,f7528,f7529,f7530,f7531,f7533,f2681,f8024,f8025,f8026,f8027,f8028,f8029,f8030,f8031,f8032,f8033,f8034,f8035,f8036,f8037,f8038,f8039,f8040,f8041,f8042,f8043,f8044,f8045,f2682,f8163,f8164,f8165,f8166,f8167,f8168,f8169,f8170,f8171,f8172,f8173,f8174,f8175,f8176,f8177,f8178,f8179,f8180,f8181,f8182,f8183,f8184,f702,f8306,f8314,f8317,f8342,f8343,f8344,f729,f8448,f8456,f8459,f8486,f8487,f8488,f2517,f8544,f8546,f8547,f2704,f2705,f845,f8849,f8857,f8860,f8889,f8890,f8891,f846,f8981,f8989,f8992,f9021,f9022,f9023,f909,f9108,f9116,f9119,f9148,f9149,f9150,f910,f9207,f9215,f9218,f9247,f9248,f9249,f1092,f9298,f9306,f9309,f9338,f9339,f9340,f1171,f9409,f9417,f9420,f9449,f9450,f9451,f1542,f9555,f2861,f2862,f1925,f10037,f2863,f2864,f3530,f10360,f10361,f3556,f10455,f10456,f1928,f1929,f3298,f11480,f3299,f11606,f847,f11753,f11761,f11764,f11797,f848,f11918,f11927,f11930,f11963,f849,f12100,f12109,f12112,f12146,f850,f12247,f12256,f12259,f12294,f911,f12373,f12382,f12385,f12420,f4495,f912,f163,f12844,f4670,f322]) ).
fof(f322,plain,
( aElementOf0(sdtpldt0(sK16,sK18),sdtpldt1(xI,xJ))
| ~ spl32_17 ),
inference(avatar_component_clause,[],[f321]) ).
fof(f321,plain,
( spl32_17
<=> aElementOf0(sdtpldt0(sK16,sK18),sdtpldt1(xI,xJ)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_17])]) ).
fof(f4670,plain,
( aElementOf0(sdtasdt0(sK16,sK17),sdtpldt1(xI,xJ))
| ~ spl32_195 ),
inference(avatar_component_clause,[],[f4669]) ).
fof(f4669,plain,
( spl32_195
<=> aElementOf0(sdtasdt0(sK16,sK17),sdtpldt1(xI,xJ)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_195])]) ).
fof(f12844,plain,
( ~ aElementOf0(sdtasdt0(sK16,sK17),sdtpldt1(xI,xJ))
| ~ aElementOf0(sdtpldt0(sK16,sK18),sdtpldt1(xI,xJ))
| ~ spl32_189 ),
inference(forward_demodulation,[],[f165,f4265]) ).
fof(f163,plain,
( aElement0(sK17)
| ~ aElementOf0(sdtpldt0(sK16,sK18),sdtpldt1(xI,xJ)) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
( ~ aIdeal0(sdtpldt1(xI,xJ))
& ( ( ~ aElementOf0(sdtasdt0(sK17,sK16),sdtpldt1(xI,xJ))
& aElement0(sK17) )
| ( ~ aElementOf0(sdtpldt0(sK16,sK18),sdtpldt1(xI,xJ))
& aElementOf0(sK18,sdtpldt1(xI,xJ)) ) )
& aElementOf0(sK16,sdtpldt1(xI,xJ))
& ! [X3] :
( ( aElementOf0(X3,sdtpldt1(xI,xJ))
| ! [X4,X5] :
( sdtpldt0(X4,X5) != X3
| ~ aElementOf0(X5,xJ)
| ~ aElementOf0(X4,xI) ) )
& ( ( sdtpldt0(sK19(X3),sK20(X3)) = X3
& aElementOf0(sK20(X3),xJ)
& aElementOf0(sK19(X3),xI) )
| ~ aElementOf0(X3,sdtpldt1(xI,xJ)) ) )
& aSet0(sdtpldt1(xI,xJ))
& ! [X8,X9,X10] :
( sP3(X9,X10,X8)
| ~ aElement0(X10)
| ( ~ aElementOf0(X9,sdtpldt1(xI,xJ))
& ! [X11,X12] :
( sdtpldt0(X11,X12) != X9
| ~ aElementOf0(X12,xJ)
| ~ aElementOf0(X11,xI) ) )
| ( ~ aElementOf0(X8,sdtpldt1(xI,xJ))
& ! [X13,X14] :
( sdtpldt0(X13,X14) != X8
| ~ aElementOf0(X14,xJ)
| ~ aElementOf0(X13,xI) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16,sK17,sK18,sK19,sK20])],[f96,f100,f99,f98,f97]) ).
fof(f97,plain,
( ? [X0] :
( ( ? [X1] :
( ~ aElementOf0(sdtasdt0(X1,X0),sdtpldt1(xI,xJ))
& aElement0(X1) )
| ? [X2] :
( ~ aElementOf0(sdtpldt0(X0,X2),sdtpldt1(xI,xJ))
& aElementOf0(X2,sdtpldt1(xI,xJ)) ) )
& aElementOf0(X0,sdtpldt1(xI,xJ)) )
=> ( ( ? [X1] :
( ~ aElementOf0(sdtasdt0(X1,sK16),sdtpldt1(xI,xJ))
& aElement0(X1) )
| ? [X2] :
( ~ aElementOf0(sdtpldt0(sK16,X2),sdtpldt1(xI,xJ))
& aElementOf0(X2,sdtpldt1(xI,xJ)) ) )
& aElementOf0(sK16,sdtpldt1(xI,xJ)) ) ),
introduced(choice_axiom,[]) ).
fof(f98,plain,
( ? [X1] :
( ~ aElementOf0(sdtasdt0(X1,sK16),sdtpldt1(xI,xJ))
& aElement0(X1) )
=> ( ~ aElementOf0(sdtasdt0(sK17,sK16),sdtpldt1(xI,xJ))
& aElement0(sK17) ) ),
introduced(choice_axiom,[]) ).
fof(f99,plain,
( ? [X2] :
( ~ aElementOf0(sdtpldt0(sK16,X2),sdtpldt1(xI,xJ))
& aElementOf0(X2,sdtpldt1(xI,xJ)) )
=> ( ~ aElementOf0(sdtpldt0(sK16,sK18),sdtpldt1(xI,xJ))
& aElementOf0(sK18,sdtpldt1(xI,xJ)) ) ),
introduced(choice_axiom,[]) ).
fof(f100,plain,
! [X3] :
( ? [X6,X7] :
( sdtpldt0(X6,X7) = X3
& aElementOf0(X7,xJ)
& aElementOf0(X6,xI) )
=> ( sdtpldt0(sK19(X3),sK20(X3)) = X3
& aElementOf0(sK20(X3),xJ)
& aElementOf0(sK19(X3),xI) ) ),
introduced(choice_axiom,[]) ).
fof(f96,plain,
( ~ aIdeal0(sdtpldt1(xI,xJ))
& ? [X0] :
( ( ? [X1] :
( ~ aElementOf0(sdtasdt0(X1,X0),sdtpldt1(xI,xJ))
& aElement0(X1) )
| ? [X2] :
( ~ aElementOf0(sdtpldt0(X0,X2),sdtpldt1(xI,xJ))
& aElementOf0(X2,sdtpldt1(xI,xJ)) ) )
& aElementOf0(X0,sdtpldt1(xI,xJ)) )
& ! [X3] :
( ( aElementOf0(X3,sdtpldt1(xI,xJ))
| ! [X4,X5] :
( sdtpldt0(X4,X5) != X3
| ~ aElementOf0(X5,xJ)
| ~ aElementOf0(X4,xI) ) )
& ( ? [X6,X7] :
( sdtpldt0(X6,X7) = X3
& aElementOf0(X7,xJ)
& aElementOf0(X6,xI) )
| ~ aElementOf0(X3,sdtpldt1(xI,xJ)) ) )
& aSet0(sdtpldt1(xI,xJ))
& ! [X8,X9,X10] :
( sP3(X9,X10,X8)
| ~ aElement0(X10)
| ( ~ aElementOf0(X9,sdtpldt1(xI,xJ))
& ! [X11,X12] :
( sdtpldt0(X11,X12) != X9
| ~ aElementOf0(X12,xJ)
| ~ aElementOf0(X11,xI) ) )
| ( ~ aElementOf0(X8,sdtpldt1(xI,xJ))
& ! [X13,X14] :
( sdtpldt0(X13,X14) != X8
| ~ aElementOf0(X14,xJ)
| ~ aElementOf0(X13,xI) ) ) ) ),
inference(rectify,[],[f95]) ).
fof(f95,plain,
( ~ aIdeal0(sdtpldt1(xI,xJ))
& ? [X18] :
( ( ? [X19] :
( ~ aElementOf0(sdtasdt0(X19,X18),sdtpldt1(xI,xJ))
& aElement0(X19) )
| ? [X20] :
( ~ aElementOf0(sdtpldt0(X18,X20),sdtpldt1(xI,xJ))
& aElementOf0(X20,sdtpldt1(xI,xJ)) ) )
& aElementOf0(X18,sdtpldt1(xI,xJ)) )
& ! [X15] :
( ( aElementOf0(X15,sdtpldt1(xI,xJ))
| ! [X16,X17] :
( sdtpldt0(X16,X17) != X15
| ~ aElementOf0(X17,xJ)
| ~ aElementOf0(X16,xI) ) )
& ( ? [X16,X17] :
( sdtpldt0(X16,X17) = X15
& aElementOf0(X17,xJ)
& aElementOf0(X16,xI) )
| ~ aElementOf0(X15,sdtpldt1(xI,xJ)) ) )
& aSet0(sdtpldt1(xI,xJ))
& ! [X0,X1,X2] :
( sP3(X1,X2,X0)
| ~ aElement0(X2)
| ( ~ aElementOf0(X1,sdtpldt1(xI,xJ))
& ! [X3,X4] :
( sdtpldt0(X3,X4) != X1
| ~ aElementOf0(X4,xJ)
| ~ aElementOf0(X3,xI) ) )
| ( ~ aElementOf0(X0,sdtpldt1(xI,xJ))
& ! [X5,X6] :
( sdtpldt0(X5,X6) != X0
| ~ aElementOf0(X6,xJ)
| ~ aElementOf0(X5,xI) ) ) ) ),
inference(nnf_transformation,[],[f71]) ).
fof(f71,plain,
( ~ aIdeal0(sdtpldt1(xI,xJ))
& ? [X18] :
( ( ? [X19] :
( ~ aElementOf0(sdtasdt0(X19,X18),sdtpldt1(xI,xJ))
& aElement0(X19) )
| ? [X20] :
( ~ aElementOf0(sdtpldt0(X18,X20),sdtpldt1(xI,xJ))
& aElementOf0(X20,sdtpldt1(xI,xJ)) ) )
& aElementOf0(X18,sdtpldt1(xI,xJ)) )
& ! [X15] :
( aElementOf0(X15,sdtpldt1(xI,xJ))
<=> ? [X16,X17] :
( sdtpldt0(X16,X17) = X15
& aElementOf0(X17,xJ)
& aElementOf0(X16,xI) ) )
& aSet0(sdtpldt1(xI,xJ))
& ! [X0,X1,X2] :
( sP3(X1,X2,X0)
| ~ aElement0(X2)
| ( ~ aElementOf0(X1,sdtpldt1(xI,xJ))
& ! [X3,X4] :
( sdtpldt0(X3,X4) != X1
| ~ aElementOf0(X4,xJ)
| ~ aElementOf0(X3,xI) ) )
| ( ~ aElementOf0(X0,sdtpldt1(xI,xJ))
& ! [X5,X6] :
( sdtpldt0(X5,X6) != X0
| ~ aElementOf0(X6,xJ)
| ~ aElementOf0(X5,xI) ) ) ) ),
inference(definition_folding,[],[f35,f70,f69,f68,f67]) ).
fof(f67,plain,
! [X1,X0] :
( ? [X13,X14] :
( sdtpldt0(X0,X1) = sdtpldt0(X13,X14)
& aElementOf0(X14,xJ)
& aElementOf0(X13,xI) )
| ~ sP0(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f68,plain,
! [X0,X2] :
( ? [X11,X12] :
( sdtasdt0(X2,X0) = sdtpldt0(X11,X12)
& aElementOf0(X12,xJ)
& aElementOf0(X11,xI) )
| ~ sP1(X0,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f69,plain,
! [X0,X2,X1,X8,X7] :
( ? [X9,X10] :
( aElementOf0(sdtasdt0(X2,X0),sdtpldt1(xI,xJ))
& sP1(X0,X2)
& aElementOf0(sdtpldt0(X0,X1),sdtpldt1(xI,xJ))
& sP0(X1,X0)
& sdtpldt0(X0,X1) = sdtpldt0(sdtpldt0(X7,X9),sdtpldt0(X8,X10))
& aElementOf0(sdtasdt0(X2,X8),xJ)
& aElementOf0(sdtasdt0(X2,X7),xI)
& aElementOf0(sdtpldt0(X8,X10),xJ)
& aElementOf0(sdtpldt0(X7,X9),xI)
& sdtpldt0(X9,X10) = X1
& aElementOf0(X10,xJ)
& aElementOf0(X9,xI) )
| ~ sP2(X0,X2,X1,X8,X7) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f70,plain,
! [X1,X2,X0] :
( ? [X7,X8] :
( sP2(X0,X2,X1,X8,X7)
& sdtpldt0(X7,X8) = X0
& aElementOf0(X8,xJ)
& aElementOf0(X7,xI) )
| ~ sP3(X1,X2,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f35,plain,
( ~ aIdeal0(sdtpldt1(xI,xJ))
& ? [X18] :
( ( ? [X19] :
( ~ aElementOf0(sdtasdt0(X19,X18),sdtpldt1(xI,xJ))
& aElement0(X19) )
| ? [X20] :
( ~ aElementOf0(sdtpldt0(X18,X20),sdtpldt1(xI,xJ))
& aElementOf0(X20,sdtpldt1(xI,xJ)) ) )
& aElementOf0(X18,sdtpldt1(xI,xJ)) )
& ! [X15] :
( aElementOf0(X15,sdtpldt1(xI,xJ))
<=> ? [X16,X17] :
( sdtpldt0(X16,X17) = X15
& aElementOf0(X17,xJ)
& aElementOf0(X16,xI) ) )
& aSet0(sdtpldt1(xI,xJ))
& ! [X0,X1,X2] :
( ? [X7,X8] :
( ? [X9,X10] :
( aElementOf0(sdtasdt0(X2,X0),sdtpldt1(xI,xJ))
& ? [X11,X12] :
( sdtasdt0(X2,X0) = sdtpldt0(X11,X12)
& aElementOf0(X12,xJ)
& aElementOf0(X11,xI) )
& aElementOf0(sdtpldt0(X0,X1),sdtpldt1(xI,xJ))
& ? [X13,X14] :
( sdtpldt0(X0,X1) = sdtpldt0(X13,X14)
& aElementOf0(X14,xJ)
& aElementOf0(X13,xI) )
& sdtpldt0(X0,X1) = sdtpldt0(sdtpldt0(X7,X9),sdtpldt0(X8,X10))
& aElementOf0(sdtasdt0(X2,X8),xJ)
& aElementOf0(sdtasdt0(X2,X7),xI)
& aElementOf0(sdtpldt0(X8,X10),xJ)
& aElementOf0(sdtpldt0(X7,X9),xI)
& sdtpldt0(X9,X10) = X1
& aElementOf0(X10,xJ)
& aElementOf0(X9,xI) )
& sdtpldt0(X7,X8) = X0
& aElementOf0(X8,xJ)
& aElementOf0(X7,xI) )
| ~ aElement0(X2)
| ( ~ aElementOf0(X1,sdtpldt1(xI,xJ))
& ! [X3,X4] :
( sdtpldt0(X3,X4) != X1
| ~ aElementOf0(X4,xJ)
| ~ aElementOf0(X3,xI) ) )
| ( ~ aElementOf0(X0,sdtpldt1(xI,xJ))
& ! [X5,X6] :
( sdtpldt0(X5,X6) != X0
| ~ aElementOf0(X6,xJ)
| ~ aElementOf0(X5,xI) ) ) ) ),
inference(flattening,[],[f34]) ).
fof(f34,plain,
( ~ aIdeal0(sdtpldt1(xI,xJ))
& ? [X18] :
( ( ? [X19] :
( ~ aElementOf0(sdtasdt0(X19,X18),sdtpldt1(xI,xJ))
& aElement0(X19) )
| ? [X20] :
( ~ aElementOf0(sdtpldt0(X18,X20),sdtpldt1(xI,xJ))
& aElementOf0(X20,sdtpldt1(xI,xJ)) ) )
& aElementOf0(X18,sdtpldt1(xI,xJ)) )
& ! [X15] :
( aElementOf0(X15,sdtpldt1(xI,xJ))
<=> ? [X16,X17] :
( sdtpldt0(X16,X17) = X15
& aElementOf0(X17,xJ)
& aElementOf0(X16,xI) ) )
& aSet0(sdtpldt1(xI,xJ))
& ! [X0,X1,X2] :
( ? [X7,X8] :
( ? [X9,X10] :
( aElementOf0(sdtasdt0(X2,X0),sdtpldt1(xI,xJ))
& ? [X11,X12] :
( sdtasdt0(X2,X0) = sdtpldt0(X11,X12)
& aElementOf0(X12,xJ)
& aElementOf0(X11,xI) )
& aElementOf0(sdtpldt0(X0,X1),sdtpldt1(xI,xJ))
& ? [X13,X14] :
( sdtpldt0(X0,X1) = sdtpldt0(X13,X14)
& aElementOf0(X14,xJ)
& aElementOf0(X13,xI) )
& sdtpldt0(X0,X1) = sdtpldt0(sdtpldt0(X7,X9),sdtpldt0(X8,X10))
& aElementOf0(sdtasdt0(X2,X8),xJ)
& aElementOf0(sdtasdt0(X2,X7),xI)
& aElementOf0(sdtpldt0(X8,X10),xJ)
& aElementOf0(sdtpldt0(X7,X9),xI)
& sdtpldt0(X9,X10) = X1
& aElementOf0(X10,xJ)
& aElementOf0(X9,xI) )
& sdtpldt0(X7,X8) = X0
& aElementOf0(X8,xJ)
& aElementOf0(X7,xI) )
| ~ aElement0(X2)
| ( ~ aElementOf0(X1,sdtpldt1(xI,xJ))
& ! [X3,X4] :
( sdtpldt0(X3,X4) != X1
| ~ aElementOf0(X4,xJ)
| ~ aElementOf0(X3,xI) ) )
| ( ~ aElementOf0(X0,sdtpldt1(xI,xJ))
& ! [X5,X6] :
( sdtpldt0(X5,X6) != X0
| ~ aElementOf0(X6,xJ)
| ~ aElementOf0(X5,xI) ) ) ) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,plain,
~ ( ! [X0,X1,X2] :
( ( aElement0(X2)
& ( aElementOf0(X1,sdtpldt1(xI,xJ))
| ? [X3,X4] :
( sdtpldt0(X3,X4) = X1
& aElementOf0(X4,xJ)
& aElementOf0(X3,xI) ) )
& ( aElementOf0(X0,sdtpldt1(xI,xJ))
| ? [X5,X6] :
( sdtpldt0(X5,X6) = X0
& aElementOf0(X6,xJ)
& aElementOf0(X5,xI) ) ) )
=> ? [X7,X8] :
( ? [X9,X10] :
( aElementOf0(sdtasdt0(X2,X0),sdtpldt1(xI,xJ))
& ? [X11,X12] :
( sdtasdt0(X2,X0) = sdtpldt0(X11,X12)
& aElementOf0(X12,xJ)
& aElementOf0(X11,xI) )
& aElementOf0(sdtpldt0(X0,X1),sdtpldt1(xI,xJ))
& ? [X13,X14] :
( sdtpldt0(X0,X1) = sdtpldt0(X13,X14)
& aElementOf0(X14,xJ)
& aElementOf0(X13,xI) )
& sdtpldt0(X0,X1) = sdtpldt0(sdtpldt0(X7,X9),sdtpldt0(X8,X10))
& aElementOf0(sdtasdt0(X2,X8),xJ)
& aElementOf0(sdtasdt0(X2,X7),xI)
& aElementOf0(sdtpldt0(X8,X10),xJ)
& aElementOf0(sdtpldt0(X7,X9),xI)
& sdtpldt0(X9,X10) = X1
& aElementOf0(X10,xJ)
& aElementOf0(X9,xI) )
& sdtpldt0(X7,X8) = X0
& aElementOf0(X8,xJ)
& aElementOf0(X7,xI) ) )
=> ( ( ! [X15] :
( aElementOf0(X15,sdtpldt1(xI,xJ))
<=> ? [X16,X17] :
( sdtpldt0(X16,X17) = X15
& aElementOf0(X17,xJ)
& aElementOf0(X16,xI) ) )
& aSet0(sdtpldt1(xI,xJ)) )
=> ( aIdeal0(sdtpldt1(xI,xJ))
| ! [X18] :
( aElementOf0(X18,sdtpldt1(xI,xJ))
=> ( ! [X19] :
( aElement0(X19)
=> aElementOf0(sdtasdt0(X19,X18),sdtpldt1(xI,xJ)) )
& ! [X20] :
( aElementOf0(X20,sdtpldt1(xI,xJ))
=> aElementOf0(sdtpldt0(X18,X20),sdtpldt1(xI,xJ)) ) ) ) ) ) ),
inference(rectify,[],[f27]) ).
fof(f27,negated_conjecture,
~ ( ! [X0,X1,X2] :
( ( aElement0(X2)
& ( aElementOf0(X1,sdtpldt1(xI,xJ))
| ? [X3,X4] :
( sdtpldt0(X3,X4) = X1
& aElementOf0(X4,xJ)
& aElementOf0(X3,xI) ) )
& ( aElementOf0(X0,sdtpldt1(xI,xJ))
| ? [X3,X4] :
( sdtpldt0(X3,X4) = X0
& aElementOf0(X4,xJ)
& aElementOf0(X3,xI) ) ) )
=> ? [X3,X4] :
( ? [X5,X6] :
( aElementOf0(sdtasdt0(X2,X0),sdtpldt1(xI,xJ))
& ? [X7,X8] :
( sdtasdt0(X2,X0) = sdtpldt0(X7,X8)
& aElementOf0(X8,xJ)
& aElementOf0(X7,xI) )
& aElementOf0(sdtpldt0(X0,X1),sdtpldt1(xI,xJ))
& ? [X7,X8] :
( sdtpldt0(X0,X1) = sdtpldt0(X7,X8)
& aElementOf0(X8,xJ)
& aElementOf0(X7,xI) )
& sdtpldt0(X0,X1) = sdtpldt0(sdtpldt0(X3,X5),sdtpldt0(X4,X6))
& aElementOf0(sdtasdt0(X2,X4),xJ)
& aElementOf0(sdtasdt0(X2,X3),xI)
& aElementOf0(sdtpldt0(X4,X6),xJ)
& aElementOf0(sdtpldt0(X3,X5),xI)
& sdtpldt0(X5,X6) = X1
& aElementOf0(X6,xJ)
& aElementOf0(X5,xI) )
& sdtpldt0(X3,X4) = X0
& aElementOf0(X4,xJ)
& aElementOf0(X3,xI) ) )
=> ( ( ! [X0] :
( aElementOf0(X0,sdtpldt1(xI,xJ))
<=> ? [X1,X2] :
( sdtpldt0(X1,X2) = X0
& aElementOf0(X2,xJ)
& aElementOf0(X1,xI) ) )
& aSet0(sdtpldt1(xI,xJ)) )
=> ( aIdeal0(sdtpldt1(xI,xJ))
| ! [X0] :
( aElementOf0(X0,sdtpldt1(xI,xJ))
=> ( ! [X1] :
( aElement0(X1)
=> aElementOf0(sdtasdt0(X1,X0),sdtpldt1(xI,xJ)) )
& ! [X1] :
( aElementOf0(X1,sdtpldt1(xI,xJ))
=> aElementOf0(sdtpldt0(X0,X1),sdtpldt1(xI,xJ)) ) ) ) ) ) ),
inference(negated_conjecture,[],[f26]) ).
fof(f26,conjecture,
( ! [X0,X1,X2] :
( ( aElement0(X2)
& ( aElementOf0(X1,sdtpldt1(xI,xJ))
| ? [X3,X4] :
( sdtpldt0(X3,X4) = X1
& aElementOf0(X4,xJ)
& aElementOf0(X3,xI) ) )
& ( aElementOf0(X0,sdtpldt1(xI,xJ))
| ? [X3,X4] :
( sdtpldt0(X3,X4) = X0
& aElementOf0(X4,xJ)
& aElementOf0(X3,xI) ) ) )
=> ? [X3,X4] :
( ? [X5,X6] :
( aElementOf0(sdtasdt0(X2,X0),sdtpldt1(xI,xJ))
& ? [X7,X8] :
( sdtasdt0(X2,X0) = sdtpldt0(X7,X8)
& aElementOf0(X8,xJ)
& aElementOf0(X7,xI) )
& aElementOf0(sdtpldt0(X0,X1),sdtpldt1(xI,xJ))
& ? [X7,X8] :
( sdtpldt0(X0,X1) = sdtpldt0(X7,X8)
& aElementOf0(X8,xJ)
& aElementOf0(X7,xI) )
& sdtpldt0(X0,X1) = sdtpldt0(sdtpldt0(X3,X5),sdtpldt0(X4,X6))
& aElementOf0(sdtasdt0(X2,X4),xJ)
& aElementOf0(sdtasdt0(X2,X3),xI)
& aElementOf0(sdtpldt0(X4,X6),xJ)
& aElementOf0(sdtpldt0(X3,X5),xI)
& sdtpldt0(X5,X6) = X1
& aElementOf0(X6,xJ)
& aElementOf0(X5,xI) )
& sdtpldt0(X3,X4) = X0
& aElementOf0(X4,xJ)
& aElementOf0(X3,xI) ) )
=> ( ( ! [X0] :
( aElementOf0(X0,sdtpldt1(xI,xJ))
<=> ? [X1,X2] :
( sdtpldt0(X1,X2) = X0
& aElementOf0(X2,xJ)
& aElementOf0(X1,xI) ) )
& aSet0(sdtpldt1(xI,xJ)) )
=> ( aIdeal0(sdtpldt1(xI,xJ))
| ! [X0] :
( aElementOf0(X0,sdtpldt1(xI,xJ))
=> ( ! [X1] :
( aElement0(X1)
=> aElementOf0(sdtasdt0(X1,X0),sdtpldt1(xI,xJ)) )
& ! [X1] :
( aElementOf0(X1,sdtpldt1(xI,xJ))
=> aElementOf0(sdtpldt0(X0,X1),sdtpldt1(xI,xJ)) ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.KGcFcWB5TY/Vampire---4.8_3400',m__) ).
fof(f912,plain,
! [X6,X7] :
( ~ aElement0(X6)
| ~ aElement0(X7)
| sdtpldt0(X7,X6) = sdtasdt0(sz10,sdtpldt0(X7,X6)) ),
inference(resolution,[],[f226,f183]) ).
fof(f4495,plain,
( ! [X0] :
( aElementOf0(sdtasdt0(sK16,sK17),X0)
| ~ aElement0(sK17)
| ~ sP4(X0,sK16) )
| ~ spl32_189 ),
inference(superposition,[],[f191,f4265]) ).
fof(f12420,plain,
! [X92,X93] :
( ~ aElement0(X92)
| sdtpldt0(sK23(X93),X92) = sdtasdt0(sdtpldt0(sK23(X93),X92),sz10)
| ~ aSet0(X93)
| aIdeal0(X93) ),
inference(resolution,[],[f911,f794]) ).
fof(f12385,plain,
! [X26,X27,X25] :
( ~ aElement0(X25)
| sdtpldt0(sdtasdt0(X26,X27),X25) = sdtasdt0(sdtpldt0(sdtasdt0(X26,X27),X25),sz10)
| ~ aElement0(X27)
| ~ aElement0(X26) ),
inference(resolution,[],[f911,f225]) ).
fof(f12382,plain,
! [X18,X16,X17] :
( ~ aElement0(X16)
| sdtpldt0(sdtpldt0(X17,X18),X16) = sdtasdt0(sdtpldt0(sdtpldt0(X17,X18),X16),sz10)
| ~ aElement0(X18)
| ~ aElement0(X17) ),
inference(resolution,[],[f911,f226]) ).
fof(f12373,plain,
! [X2,X3] :
( ~ aElement0(X2)
| sdtpldt0(smndt0(X3),X2) = sdtasdt0(sdtpldt0(smndt0(X3),X2),sz10)
| ~ aElement0(X3) ),
inference(resolution,[],[f911,f179]) ).
fof(f911,plain,
! [X4,X5] :
( ~ aElement0(X5)
| ~ aElement0(X4)
| sdtpldt0(X5,X4) = sdtasdt0(sdtpldt0(X5,X4),sz10) ),
inference(resolution,[],[f226,f182]) ).
fof(f12294,plain,
! [X92,X93] :
( ~ aElement0(X92)
| sdtasdt0(sK23(X93),X92) = sdtpldt0(sz00,sdtasdt0(sK23(X93),X92))
| ~ aSet0(X93)
| aIdeal0(X93) ),
inference(resolution,[],[f850,f794]) ).
fof(f12259,plain,
! [X26,X27,X25] :
( ~ aElement0(X25)
| sdtasdt0(sdtasdt0(X26,X27),X25) = sdtpldt0(sz00,sdtasdt0(sdtasdt0(X26,X27),X25))
| ~ aElement0(X27)
| ~ aElement0(X26) ),
inference(resolution,[],[f850,f225]) ).
fof(f12256,plain,
! [X18,X16,X17] :
( ~ aElement0(X16)
| sdtasdt0(sdtpldt0(X17,X18),X16) = sdtpldt0(sz00,sdtasdt0(sdtpldt0(X17,X18),X16))
| ~ aElement0(X18)
| ~ aElement0(X17) ),
inference(resolution,[],[f850,f226]) ).
fof(f12247,plain,
! [X2,X3] :
( ~ aElement0(X2)
| sdtasdt0(smndt0(X3),X2) = sdtpldt0(sz00,sdtasdt0(smndt0(X3),X2))
| ~ aElement0(X3) ),
inference(resolution,[],[f850,f179]) ).
fof(f850,plain,
! [X10,X11] :
( ~ aElement0(X11)
| ~ aElement0(X10)
| sdtasdt0(X11,X10) = sdtpldt0(sz00,sdtasdt0(X11,X10)) ),
inference(resolution,[],[f225,f185]) ).
fof(f12146,plain,
! [X91,X92] :
( ~ aElement0(X91)
| sdtasdt0(sK23(X92),X91) = sdtpldt0(sdtasdt0(sK23(X92),X91),sz00)
| ~ aSet0(X92)
| aIdeal0(X92) ),
inference(resolution,[],[f849,f794]) ).
fof(f12112,plain,
! [X26,X27,X25] :
( ~ aElement0(X25)
| sdtasdt0(sdtasdt0(X26,X27),X25) = sdtpldt0(sdtasdt0(sdtasdt0(X26,X27),X25),sz00)
| ~ aElement0(X27)
| ~ aElement0(X26) ),
inference(resolution,[],[f849,f225]) ).
fof(f12109,plain,
! [X18,X16,X17] :
( ~ aElement0(X16)
| sdtasdt0(sdtpldt0(X17,X18),X16) = sdtpldt0(sdtasdt0(sdtpldt0(X17,X18),X16),sz00)
| ~ aElement0(X18)
| ~ aElement0(X17) ),
inference(resolution,[],[f849,f226]) ).
fof(f12100,plain,
! [X2,X3] :
( ~ aElement0(X2)
| sdtasdt0(smndt0(X3),X2) = sdtpldt0(sdtasdt0(smndt0(X3),X2),sz00)
| ~ aElement0(X3) ),
inference(resolution,[],[f849,f179]) ).
fof(f849,plain,
! [X8,X9] :
( ~ aElement0(X9)
| ~ aElement0(X8)
| sdtasdt0(X9,X8) = sdtpldt0(sdtasdt0(X9,X8),sz00) ),
inference(resolution,[],[f225,f184]) ).
fof(f11963,plain,
! [X90,X91] :
( ~ aElement0(X90)
| sdtasdt0(sK23(X91),X90) = sdtasdt0(sz10,sdtasdt0(sK23(X91),X90))
| ~ aSet0(X91)
| aIdeal0(X91) ),
inference(resolution,[],[f848,f794]) ).
fof(f11930,plain,
! [X26,X27,X25] :
( ~ aElement0(X25)
| sdtasdt0(sdtasdt0(X26,X27),X25) = sdtasdt0(sz10,sdtasdt0(sdtasdt0(X26,X27),X25))
| ~ aElement0(X27)
| ~ aElement0(X26) ),
inference(resolution,[],[f848,f225]) ).
fof(f11927,plain,
! [X18,X16,X17] :
( ~ aElement0(X16)
| sdtasdt0(sdtpldt0(X17,X18),X16) = sdtasdt0(sz10,sdtasdt0(sdtpldt0(X17,X18),X16))
| ~ aElement0(X18)
| ~ aElement0(X17) ),
inference(resolution,[],[f848,f226]) ).
fof(f11918,plain,
! [X2,X3] :
( ~ aElement0(X2)
| sdtasdt0(smndt0(X3),X2) = sdtasdt0(sz10,sdtasdt0(smndt0(X3),X2))
| ~ aElement0(X3) ),
inference(resolution,[],[f848,f179]) ).
fof(f848,plain,
! [X6,X7] :
( ~ aElement0(X7)
| ~ aElement0(X6)
| sdtasdt0(X7,X6) = sdtasdt0(sz10,sdtasdt0(X7,X6)) ),
inference(resolution,[],[f225,f183]) ).
fof(f11797,plain,
! [X90,X89] :
( ~ aElement0(X89)
| sdtasdt0(sK23(X90),X89) = sdtasdt0(sdtasdt0(sK23(X90),X89),sz10)
| ~ aSet0(X90)
| aIdeal0(X90) ),
inference(resolution,[],[f847,f794]) ).
fof(f11764,plain,
! [X26,X24,X25] :
( ~ aElement0(X24)
| sdtasdt0(sdtasdt0(X25,X26),X24) = sdtasdt0(sdtasdt0(sdtasdt0(X25,X26),X24),sz10)
| ~ aElement0(X26)
| ~ aElement0(X25) ),
inference(resolution,[],[f847,f225]) ).
fof(f11761,plain,
! [X16,X17,X15] :
( ~ aElement0(X15)
| sdtasdt0(sdtpldt0(X16,X17),X15) = sdtasdt0(sdtasdt0(sdtpldt0(X16,X17),X15),sz10)
| ~ aElement0(X17)
| ~ aElement0(X16) ),
inference(resolution,[],[f847,f226]) ).
fof(f11753,plain,
! [X2,X3] :
( ~ aElement0(X2)
| sdtasdt0(smndt0(X3),X2) = sdtasdt0(sdtasdt0(smndt0(X3),X2),sz10)
| ~ aElement0(X3) ),
inference(resolution,[],[f847,f179]) ).
fof(f847,plain,
! [X4,X5] :
( ~ aElement0(X5)
| ~ aElement0(X4)
| sdtasdt0(X5,X4) = sdtasdt0(sdtasdt0(X5,X4),sz10) ),
inference(resolution,[],[f225,f182]) ).
fof(f11606,plain,
! [X0] :
( sP4(xJ,X0)
| ~ aElementOf0(X0,xJ) ),
inference(subsumption_resolution,[],[f11605,f2705]) ).
fof(f11605,plain,
! [X0] :
( sP4(xJ,X0)
| ~ aElementOf0(X0,xJ)
| ~ aElementOf0(sK22(xJ,X0),xJ) ),
inference(duplicate_literal_removal,[],[f11603]) ).
fof(f11603,plain,
! [X0] :
( sP4(xJ,X0)
| ~ aElementOf0(X0,xJ)
| ~ aElementOf0(sK22(xJ,X0),xJ)
| ~ aElementOf0(X0,xJ) ),
inference(resolution,[],[f3299,f172]) ).
fof(f3299,plain,
! [X5] :
( ~ aElementOf0(sdtpldt0(X5,sK22(xJ,X5)),xJ)
| sP4(xJ,X5)
| ~ aElementOf0(X5,xJ) ),
inference(subsumption_resolution,[],[f3297,f193]) ).
fof(f3297,plain,
! [X5] :
( sP4(xJ,X5)
| ~ aElementOf0(sdtpldt0(X5,sK22(xJ,X5)),xJ)
| ~ aElement0(sK21(xJ,X5))
| ~ aElementOf0(X5,xJ) ),
inference(resolution,[],[f195,f173]) ).
fof(f11480,plain,
! [X0] :
( sP4(xI,X0)
| ~ aElementOf0(X0,xI) ),
inference(subsumption_resolution,[],[f11479,f2704]) ).
fof(f11479,plain,
! [X0] :
( sP4(xI,X0)
| ~ aElementOf0(X0,xI)
| ~ aElementOf0(sK22(xI,X0),xI) ),
inference(duplicate_literal_removal,[],[f11477]) ).
fof(f11477,plain,
! [X0] :
( sP4(xI,X0)
| ~ aElementOf0(X0,xI)
| ~ aElementOf0(sK22(xI,X0),xI)
| ~ aElementOf0(X0,xI) ),
inference(resolution,[],[f3298,f168]) ).
fof(f3298,plain,
! [X4] :
( ~ aElementOf0(sdtpldt0(X4,sK22(xI,X4)),xI)
| sP4(xI,X4)
| ~ aElementOf0(X4,xI) ),
inference(subsumption_resolution,[],[f3296,f193]) ).
fof(f3296,plain,
! [X4] :
( sP4(xI,X4)
| ~ aElementOf0(sdtpldt0(X4,sK22(xI,X4)),xI)
| ~ aElement0(sK21(xI,X4))
| ~ aElementOf0(X4,xI) ),
inference(resolution,[],[f195,f169]) ).
fof(f1929,plain,
! [X8,X7] :
( aElementOf0(sK19(sdtpldt0(X8,X7)),xI)
| ~ sP4(sdtpldt1(xI,xJ),X8)
| ~ aElementOf0(X7,sdtpldt1(xI,xJ)) ),
inference(resolution,[],[f190,f157]) ).
fof(f1928,plain,
! [X6,X5] :
( aElementOf0(sK20(sdtpldt0(X6,X5)),xJ)
| ~ sP4(sdtpldt1(xI,xJ),X6)
| ~ aElementOf0(X5,sdtpldt1(xI,xJ)) ),
inference(resolution,[],[f190,f158]) ).
fof(f10456,plain,
! [X2,X3] :
( sP5(X2,X3,X2)
| ~ aSet0(X2)
| ~ aElementOf0(sK26(X2,X3,X2),X3) ),
inference(subsumption_resolution,[],[f10454,f211]) ).
fof(f10454,plain,
! [X2,X3] :
( sP5(X2,X3,X2)
| ~ aSet0(X2)
| ~ aElementOf0(sK26(X2,X3,X2),X2)
| ~ aElementOf0(sK26(X2,X3,X2),X3) ),
inference(duplicate_literal_removal,[],[f10446]) ).
fof(f10446,plain,
! [X2,X3] :
( sP5(X2,X3,X2)
| ~ aSet0(X2)
| ~ aElementOf0(sK26(X2,X3,X2),X2)
| ~ aElementOf0(sK26(X2,X3,X2),X3)
| sP5(X2,X3,X2)
| ~ aSet0(X2) ),
inference(resolution,[],[f3556,f212]) ).
fof(f10455,plain,
! [X0,X1] :
( sP5(X0,X1,X0)
| ~ aSet0(X0)
| aElement0(sK26(X0,X1,X0)) ),
inference(duplicate_literal_removal,[],[f10445]) ).
fof(f10445,plain,
! [X0,X1] :
( sP5(X0,X1,X0)
| ~ aSet0(X0)
| aElement0(sK26(X0,X1,X0))
| ~ aSet0(X0) ),
inference(resolution,[],[f3556,f178]) ).
fof(f3556,plain,
! [X0,X1] :
( aElementOf0(sK26(X0,X1,X0),X0)
| sP5(X0,X1,X0)
| ~ aSet0(X0) ),
inference(factoring,[],[f211]) ).
fof(f10361,plain,
! [X2,X3] :
( sP5(X2,X3,X3)
| ~ aSet0(X3)
| ~ aElementOf0(sK26(X2,X3,X3),X2) ),
inference(subsumption_resolution,[],[f10359,f210]) ).
fof(f10359,plain,
! [X2,X3] :
( sP5(X2,X3,X3)
| ~ aSet0(X3)
| ~ aElementOf0(sK26(X2,X3,X3),X2)
| ~ aElementOf0(sK26(X2,X3,X3),X3) ),
inference(duplicate_literal_removal,[],[f10351]) ).
fof(f10351,plain,
! [X2,X3] :
( sP5(X2,X3,X3)
| ~ aSet0(X3)
| ~ aElementOf0(sK26(X2,X3,X3),X2)
| ~ aElementOf0(sK26(X2,X3,X3),X3)
| sP5(X2,X3,X3)
| ~ aSet0(X3) ),
inference(resolution,[],[f3530,f212]) ).
fof(f10360,plain,
! [X0,X1] :
( sP5(X0,X1,X1)
| ~ aSet0(X1)
| aElement0(sK26(X0,X1,X1)) ),
inference(duplicate_literal_removal,[],[f10350]) ).
fof(f10350,plain,
! [X0,X1] :
( sP5(X0,X1,X1)
| ~ aSet0(X1)
| aElement0(sK26(X0,X1,X1))
| ~ aSet0(X1) ),
inference(resolution,[],[f3530,f178]) ).
fof(f3530,plain,
! [X0,X1] :
( aElementOf0(sK26(X0,X1,X1),X1)
| sP5(X0,X1,X1)
| ~ aSet0(X1) ),
inference(factoring,[],[f210]) ).
fof(f2864,plain,
! [X10,X11,X9] :
( aElementOf0(sdtasdt0(X10,sK8(X9,X10,X11)),xI)
| ~ sP3(X9,X10,X11) ),
inference(resolution,[],[f133,f139]) ).
fof(f2863,plain,
! [X8,X6,X7] :
( aElementOf0(sdtasdt0(X7,sK9(X6,X7,X8)),xJ)
| ~ sP3(X6,X7,X8) ),
inference(resolution,[],[f133,f140]) ).
fof(f10037,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X0,X1)
| aElement0(sdtpldt0(X2,X0))
| ~ aElementOf0(X2,X1)
| ~ aIdeal0(X1) ),
inference(subsumption_resolution,[],[f10036,f196]) ).
fof(f10036,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X0,X1)
| aElement0(sdtpldt0(X2,X0))
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1)
| ~ aIdeal0(X1) ),
inference(resolution,[],[f1925,f197]) ).
fof(f1925,plain,
! [X2,X0,X1] :
( ~ sP4(X1,X2)
| ~ aElementOf0(X0,X1)
| aElement0(sdtpldt0(X2,X0))
| ~ aSet0(X1) ),
inference(resolution,[],[f190,f178]) ).
fof(f2862,plain,
! [X3,X4,X5] :
( ~ sP3(X3,X4,X5)
| aElementOf0(sdtpldt0(X5,X3),sdtpldt1(xI,xJ)) ),
inference(resolution,[],[f133,f143]) ).
fof(f2861,plain,
! [X2,X0,X1] :
( ~ sP3(X0,X1,X2)
| aElementOf0(sdtasdt0(X1,X2),sdtpldt1(xI,xJ)) ),
inference(resolution,[],[f133,f145]) ).
fof(f9555,plain,
! [X2,X0,X1] :
( ~ aElement0(X0)
| aElement0(sdtasdt0(X0,X1))
| ~ aElementOf0(X1,X2)
| ~ aIdeal0(X2) ),
inference(subsumption_resolution,[],[f9554,f196]) ).
fof(f9554,plain,
! [X2,X0,X1] :
( ~ aElement0(X0)
| aElement0(sdtasdt0(X0,X1))
| ~ aSet0(X2)
| ~ aElementOf0(X1,X2)
| ~ aIdeal0(X2) ),
inference(resolution,[],[f1542,f197]) ).
fof(f1542,plain,
! [X2,X0,X1] :
( ~ sP4(X1,X2)
| ~ aElement0(X0)
| aElement0(sdtasdt0(X0,X2))
| ~ aSet0(X1) ),
inference(resolution,[],[f191,f178]) ).
fof(f9451,plain,
! [X33] :
( smndt0(smndt0(sK23(X33))) = sdtasdt0(smndt0(sK23(X33)),smndt0(sz10))
| ~ aSet0(X33)
| aIdeal0(X33) ),
inference(resolution,[],[f1171,f794]) ).
fof(f9450,plain,
! [X32] :
( smndt0(smndt0(sK21(xJ,X32))) = sdtasdt0(smndt0(sK21(xJ,X32)),smndt0(sz10))
| sP4(xJ,X32)
| ~ aElementOf0(X32,xJ) ),
inference(resolution,[],[f1171,f2682]) ).
fof(f9449,plain,
! [X31] :
( smndt0(smndt0(sK21(xI,X31))) = sdtasdt0(smndt0(sK21(xI,X31)),smndt0(sz10))
| sP4(xI,X31)
| ~ aElementOf0(X31,xI) ),
inference(resolution,[],[f1171,f2681]) ).
fof(f9420,plain,
! [X11,X12] :
( smndt0(smndt0(sdtasdt0(X11,X12))) = sdtasdt0(smndt0(sdtasdt0(X11,X12)),smndt0(sz10))
| ~ aElement0(X12)
| ~ aElement0(X11) ),
inference(resolution,[],[f1171,f225]) ).
fof(f9417,plain,
! [X6,X5] :
( smndt0(smndt0(sdtpldt0(X5,X6))) = sdtasdt0(smndt0(sdtpldt0(X5,X6)),smndt0(sz10))
| ~ aElement0(X6)
| ~ aElement0(X5) ),
inference(resolution,[],[f1171,f226]) ).
fof(f9409,plain,
! [X0] :
( smndt0(smndt0(smndt0(X0))) = sdtasdt0(smndt0(smndt0(X0)),smndt0(sz10))
| ~ aElement0(X0) ),
inference(resolution,[],[f1171,f179]) ).
fof(f1171,plain,
! [X0] :
( ~ aElement0(X0)
| smndt0(smndt0(X0)) = sdtasdt0(smndt0(X0),smndt0(sz10)) ),
inference(resolution,[],[f189,f179]) ).
fof(f9340,plain,
! [X33] :
( smndt0(smndt0(sK23(X33))) = sdtasdt0(smndt0(sz10),smndt0(sK23(X33)))
| ~ aSet0(X33)
| aIdeal0(X33) ),
inference(resolution,[],[f1092,f794]) ).
fof(f9339,plain,
! [X32] :
( smndt0(smndt0(sK21(xJ,X32))) = sdtasdt0(smndt0(sz10),smndt0(sK21(xJ,X32)))
| sP4(xJ,X32)
| ~ aElementOf0(X32,xJ) ),
inference(resolution,[],[f1092,f2682]) ).
fof(f9338,plain,
! [X31] :
( smndt0(smndt0(sK21(xI,X31))) = sdtasdt0(smndt0(sz10),smndt0(sK21(xI,X31)))
| sP4(xI,X31)
| ~ aElementOf0(X31,xI) ),
inference(resolution,[],[f1092,f2681]) ).
fof(f9309,plain,
! [X11,X12] :
( smndt0(smndt0(sdtasdt0(X11,X12))) = sdtasdt0(smndt0(sz10),smndt0(sdtasdt0(X11,X12)))
| ~ aElement0(X12)
| ~ aElement0(X11) ),
inference(resolution,[],[f1092,f225]) ).
fof(f9306,plain,
! [X6,X5] :
( smndt0(smndt0(sdtpldt0(X5,X6))) = sdtasdt0(smndt0(sz10),smndt0(sdtpldt0(X5,X6)))
| ~ aElement0(X6)
| ~ aElement0(X5) ),
inference(resolution,[],[f1092,f226]) ).
fof(f9298,plain,
! [X0] :
( smndt0(smndt0(smndt0(X0))) = sdtasdt0(smndt0(sz10),smndt0(smndt0(X0)))
| ~ aElement0(X0) ),
inference(resolution,[],[f1092,f179]) ).
fof(f1092,plain,
! [X0] :
( ~ aElement0(X0)
| smndt0(smndt0(X0)) = sdtasdt0(smndt0(sz10),smndt0(X0)) ),
inference(resolution,[],[f188,f179]) ).
fof(f9249,plain,
! [X78,X77] :
( ~ aElement0(X77)
| sz00 = sdtasdt0(sz00,sdtpldt0(sK23(X78),X77))
| ~ aSet0(X78)
| aIdeal0(X78) ),
inference(resolution,[],[f910,f794]) ).
fof(f9248,plain,
! [X76,X75] :
( ~ aElement0(X75)
| sz00 = sdtasdt0(sz00,sdtpldt0(sK21(xJ,X76),X75))
| sP4(xJ,X76)
| ~ aElementOf0(X76,xJ) ),
inference(resolution,[],[f910,f2682]) ).
fof(f9247,plain,
! [X73,X74] :
( ~ aElement0(X73)
| sz00 = sdtasdt0(sz00,sdtpldt0(sK21(xI,X74),X73))
| sP4(xI,X74)
| ~ aElementOf0(X74,xI) ),
inference(resolution,[],[f910,f2681]) ).
fof(f9218,plain,
! [X26,X24,X25] :
( ~ aElement0(X24)
| sz00 = sdtasdt0(sz00,sdtpldt0(sdtasdt0(X25,X26),X24))
| ~ aElement0(X26)
| ~ aElement0(X25) ),
inference(resolution,[],[f910,f225]) ).
fof(f9215,plain,
! [X16,X17,X15] :
( ~ aElement0(X15)
| sz00 = sdtasdt0(sz00,sdtpldt0(sdtpldt0(X16,X17),X15))
| ~ aElement0(X17)
| ~ aElement0(X16) ),
inference(resolution,[],[f910,f226]) ).
fof(f9207,plain,
! [X2,X3] :
( ~ aElement0(X2)
| sz00 = sdtasdt0(sz00,sdtpldt0(smndt0(X3),X2))
| ~ aElement0(X3) ),
inference(resolution,[],[f910,f179]) ).
fof(f910,plain,
! [X2,X3] :
( ~ aElement0(X3)
| ~ aElement0(X2)
| sz00 = sdtasdt0(sz00,sdtpldt0(X3,X2)) ),
inference(resolution,[],[f226,f181]) ).
fof(f9150,plain,
! [X78,X77] :
( ~ aElement0(X77)
| sz00 = sdtasdt0(sdtpldt0(sK23(X78),X77),sz00)
| ~ aSet0(X78)
| aIdeal0(X78) ),
inference(resolution,[],[f909,f794]) ).
fof(f9149,plain,
! [X76,X75] :
( ~ aElement0(X75)
| sz00 = sdtasdt0(sdtpldt0(sK21(xJ,X76),X75),sz00)
| sP4(xJ,X76)
| ~ aElementOf0(X76,xJ) ),
inference(resolution,[],[f909,f2682]) ).
fof(f9148,plain,
! [X73,X74] :
( ~ aElement0(X73)
| sz00 = sdtasdt0(sdtpldt0(sK21(xI,X74),X73),sz00)
| sP4(xI,X74)
| ~ aElementOf0(X74,xI) ),
inference(resolution,[],[f909,f2681]) ).
fof(f9119,plain,
! [X26,X24,X25] :
( ~ aElement0(X24)
| sz00 = sdtasdt0(sdtpldt0(sdtasdt0(X25,X26),X24),sz00)
| ~ aElement0(X26)
| ~ aElement0(X25) ),
inference(resolution,[],[f909,f225]) ).
fof(f9116,plain,
! [X16,X17,X15] :
( ~ aElement0(X15)
| sz00 = sdtasdt0(sdtpldt0(sdtpldt0(X16,X17),X15),sz00)
| ~ aElement0(X17)
| ~ aElement0(X16) ),
inference(resolution,[],[f909,f226]) ).
fof(f9108,plain,
! [X2,X3] :
( ~ aElement0(X2)
| sz00 = sdtasdt0(sdtpldt0(smndt0(X3),X2),sz00)
| ~ aElement0(X3) ),
inference(resolution,[],[f909,f179]) ).
fof(f909,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| sz00 = sdtasdt0(sdtpldt0(X1,X0),sz00) ),
inference(resolution,[],[f226,f180]) ).
fof(f9023,plain,
! [X78,X77] :
( ~ aElement0(X77)
| sz00 = sdtasdt0(sz00,sdtasdt0(sK23(X78),X77))
| ~ aSet0(X78)
| aIdeal0(X78) ),
inference(resolution,[],[f846,f794]) ).
fof(f9022,plain,
! [X76,X75] :
( ~ aElement0(X75)
| sz00 = sdtasdt0(sz00,sdtasdt0(sK21(xJ,X76),X75))
| sP4(xJ,X76)
| ~ aElementOf0(X76,xJ) ),
inference(resolution,[],[f846,f2682]) ).
fof(f9021,plain,
! [X73,X74] :
( ~ aElement0(X73)
| sz00 = sdtasdt0(sz00,sdtasdt0(sK21(xI,X74),X73))
| sP4(xI,X74)
| ~ aElementOf0(X74,xI) ),
inference(resolution,[],[f846,f2681]) ).
fof(f8992,plain,
! [X26,X24,X25] :
( ~ aElement0(X24)
| sz00 = sdtasdt0(sz00,sdtasdt0(sdtasdt0(X25,X26),X24))
| ~ aElement0(X26)
| ~ aElement0(X25) ),
inference(resolution,[],[f846,f225]) ).
fof(f8989,plain,
! [X16,X17,X15] :
( ~ aElement0(X15)
| sz00 = sdtasdt0(sz00,sdtasdt0(sdtpldt0(X16,X17),X15))
| ~ aElement0(X17)
| ~ aElement0(X16) ),
inference(resolution,[],[f846,f226]) ).
fof(f8981,plain,
! [X2,X3] :
( ~ aElement0(X2)
| sz00 = sdtasdt0(sz00,sdtasdt0(smndt0(X3),X2))
| ~ aElement0(X3) ),
inference(resolution,[],[f846,f179]) ).
fof(f846,plain,
! [X2,X3] :
( ~ aElement0(X3)
| ~ aElement0(X2)
| sz00 = sdtasdt0(sz00,sdtasdt0(X3,X2)) ),
inference(resolution,[],[f225,f181]) ).
fof(f8891,plain,
! [X78,X77] :
( ~ aElement0(X77)
| sz00 = sdtasdt0(sdtasdt0(sK23(X78),X77),sz00)
| ~ aSet0(X78)
| aIdeal0(X78) ),
inference(resolution,[],[f845,f794]) ).
fof(f8890,plain,
! [X76,X75] :
( ~ aElement0(X75)
| sz00 = sdtasdt0(sdtasdt0(sK21(xJ,X76),X75),sz00)
| sP4(xJ,X76)
| ~ aElementOf0(X76,xJ) ),
inference(resolution,[],[f845,f2682]) ).
fof(f8889,plain,
! [X73,X74] :
( ~ aElement0(X73)
| sz00 = sdtasdt0(sdtasdt0(sK21(xI,X74),X73),sz00)
| sP4(xI,X74)
| ~ aElementOf0(X74,xI) ),
inference(resolution,[],[f845,f2681]) ).
fof(f8860,plain,
! [X26,X24,X25] :
( ~ aElement0(X24)
| sz00 = sdtasdt0(sdtasdt0(sdtasdt0(X25,X26),X24),sz00)
| ~ aElement0(X26)
| ~ aElement0(X25) ),
inference(resolution,[],[f845,f225]) ).
fof(f8857,plain,
! [X16,X17,X15] :
( ~ aElement0(X15)
| sz00 = sdtasdt0(sdtasdt0(sdtpldt0(X16,X17),X15),sz00)
| ~ aElement0(X17)
| ~ aElement0(X16) ),
inference(resolution,[],[f845,f226]) ).
fof(f8849,plain,
! [X2,X3] :
( ~ aElement0(X2)
| sz00 = sdtasdt0(sdtasdt0(smndt0(X3),X2),sz00)
| ~ aElement0(X3) ),
inference(resolution,[],[f845,f179]) ).
fof(f845,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| sz00 = sdtasdt0(sdtasdt0(X1,X0),sz00) ),
inference(resolution,[],[f225,f180]) ).
fof(f2705,plain,
! [X3] :
( aElementOf0(sK22(xJ,X3),xJ)
| sP4(xJ,X3)
| ~ aElementOf0(X3,xJ) ),
inference(subsumption_resolution,[],[f2703,f192]) ).
fof(f2703,plain,
! [X3] :
( sP4(xJ,X3)
| aElementOf0(sK22(xJ,X3),xJ)
| ~ aElement0(sK21(xJ,X3))
| ~ aElementOf0(X3,xJ) ),
inference(resolution,[],[f194,f173]) ).
fof(f2704,plain,
! [X2] :
( aElementOf0(sK22(xI,X2),xI)
| sP4(xI,X2)
| ~ aElementOf0(X2,xI) ),
inference(subsumption_resolution,[],[f2702,f192]) ).
fof(f2702,plain,
! [X2] :
( sP4(xI,X2)
| aElementOf0(sK22(xI,X2),xI)
| ~ aElement0(sK21(xI,X2))
| ~ aElementOf0(X2,xI) ),
inference(resolution,[],[f194,f169]) ).
fof(f8547,plain,
! [X10,X8,X9] :
( ~ aSet0(X8)
| ~ aSet0(X9)
| ~ aElementOf0(X10,sdtpldt1(X9,X8))
| aElementOf0(sK30(X8,X9,X10),X9) ),
inference(resolution,[],[f2517,f214]) ).
fof(f8546,plain,
! [X6,X7,X5] :
( ~ aSet0(X5)
| ~ aSet0(X6)
| ~ aElementOf0(X7,sdtpldt1(X6,X5))
| aElementOf0(sK31(X5,X6,X7),X5) ),
inference(resolution,[],[f2517,f215]) ).
fof(f8544,plain,
! [X2,X0,X1] :
( ~ aSet0(X0)
| ~ aSet0(X1)
| ~ aElementOf0(X2,sdtpldt1(X1,X0))
| sdtpldt0(sK30(X0,X1,X2),sK31(X0,X1,X2)) = X2 ),
inference(resolution,[],[f2517,f216]) ).
fof(f2517,plain,
! [X0,X1] :
( sP7(X0,X1,sdtpldt1(X1,X0))
| ~ aSet0(X0)
| ~ aSet0(X1) ),
inference(equality_resolution,[],[f223]) ).
fof(f8488,plain,
! [X33] :
( sz00 = sdtpldt0(smndt0(smndt0(sK23(X33))),smndt0(sK23(X33)))
| ~ aSet0(X33)
| aIdeal0(X33) ),
inference(resolution,[],[f729,f794]) ).
fof(f8487,plain,
! [X32] :
( sz00 = sdtpldt0(smndt0(smndt0(sK21(xJ,X32))),smndt0(sK21(xJ,X32)))
| sP4(xJ,X32)
| ~ aElementOf0(X32,xJ) ),
inference(resolution,[],[f729,f2682]) ).
fof(f8486,plain,
! [X31] :
( sz00 = sdtpldt0(smndt0(smndt0(sK21(xI,X31))),smndt0(sK21(xI,X31)))
| sP4(xI,X31)
| ~ aElementOf0(X31,xI) ),
inference(resolution,[],[f729,f2681]) ).
fof(f8459,plain,
! [X11,X12] :
( sz00 = sdtpldt0(smndt0(smndt0(sdtasdt0(X11,X12))),smndt0(sdtasdt0(X11,X12)))
| ~ aElement0(X12)
| ~ aElement0(X11) ),
inference(resolution,[],[f729,f225]) ).
fof(f8456,plain,
! [X6,X5] :
( sz00 = sdtpldt0(smndt0(smndt0(sdtpldt0(X5,X6))),smndt0(sdtpldt0(X5,X6)))
| ~ aElement0(X6)
| ~ aElement0(X5) ),
inference(resolution,[],[f729,f226]) ).
fof(f8448,plain,
! [X0] :
( sz00 = sdtpldt0(smndt0(smndt0(smndt0(X0))),smndt0(smndt0(X0)))
| ~ aElement0(X0) ),
inference(resolution,[],[f729,f179]) ).
fof(f729,plain,
! [X0] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(smndt0(smndt0(X0)),smndt0(X0)) ),
inference(resolution,[],[f187,f179]) ).
fof(f8344,plain,
! [X33] :
( sz00 = sdtpldt0(smndt0(sK23(X33)),smndt0(smndt0(sK23(X33))))
| ~ aSet0(X33)
| aIdeal0(X33) ),
inference(resolution,[],[f702,f794]) ).
fof(f8343,plain,
! [X32] :
( sz00 = sdtpldt0(smndt0(sK21(xJ,X32)),smndt0(smndt0(sK21(xJ,X32))))
| sP4(xJ,X32)
| ~ aElementOf0(X32,xJ) ),
inference(resolution,[],[f702,f2682]) ).
fof(f8342,plain,
! [X31] :
( sz00 = sdtpldt0(smndt0(sK21(xI,X31)),smndt0(smndt0(sK21(xI,X31))))
| sP4(xI,X31)
| ~ aElementOf0(X31,xI) ),
inference(resolution,[],[f702,f2681]) ).
fof(f8317,plain,
! [X11,X12] :
( sz00 = sdtpldt0(smndt0(sdtasdt0(X11,X12)),smndt0(smndt0(sdtasdt0(X11,X12))))
| ~ aElement0(X12)
| ~ aElement0(X11) ),
inference(resolution,[],[f702,f225]) ).
fof(f8314,plain,
! [X6,X5] :
( sz00 = sdtpldt0(smndt0(sdtpldt0(X5,X6)),smndt0(smndt0(sdtpldt0(X5,X6))))
| ~ aElement0(X6)
| ~ aElement0(X5) ),
inference(resolution,[],[f702,f226]) ).
fof(f8306,plain,
! [X0] :
( sz00 = sdtpldt0(smndt0(smndt0(X0)),smndt0(smndt0(smndt0(X0))))
| ~ aElement0(X0) ),
inference(resolution,[],[f702,f179]) ).
fof(f702,plain,
! [X0] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(smndt0(X0),smndt0(smndt0(X0))) ),
inference(resolution,[],[f186,f179]) ).
fof(f8184,plain,
! [X31] :
( sP4(xJ,X31)
| ~ aElementOf0(X31,xJ)
| smndt0(sK21(xJ,X31)) = sdtpldt0(sz00,smndt0(sK21(xJ,X31))) ),
inference(resolution,[],[f2682,f533]) ).
fof(f8183,plain,
! [X30] :
( sP4(xJ,X30)
| ~ aElementOf0(X30,xJ)
| smndt0(sK21(xJ,X30)) = sdtpldt0(smndt0(sK21(xJ,X30)),sz00) ),
inference(resolution,[],[f2682,f505]) ).
fof(f8182,plain,
! [X29] :
( sP4(xJ,X29)
| ~ aElementOf0(X29,xJ)
| smndt0(sK21(xJ,X29)) = sdtasdt0(sz10,smndt0(sK21(xJ,X29))) ),
inference(resolution,[],[f2682,f455]) ).
fof(f8181,plain,
! [X28] :
( sP4(xJ,X28)
| ~ aElementOf0(X28,xJ)
| smndt0(sK21(xJ,X28)) = sdtasdt0(smndt0(sK21(xJ,X28)),sz10) ),
inference(resolution,[],[f2682,f421]) ).
fof(f8180,plain,
! [X27] :
( sP4(xJ,X27)
| ~ aElementOf0(X27,xJ)
| sz00 = sdtasdt0(sz00,smndt0(sK21(xJ,X27))) ),
inference(resolution,[],[f2682,f392]) ).
fof(f8179,plain,
! [X26] :
( sP4(xJ,X26)
| ~ aElementOf0(X26,xJ)
| sz00 = sdtasdt0(smndt0(sK21(xJ,X26)),sz00) ),
inference(resolution,[],[f2682,f369]) ).
fof(f8178,plain,
! [X24,X25,X23] :
( sP4(xJ,X23)
| ~ aElementOf0(X23,xJ)
| sdtasdt0(sdtpldt0(X24,sK21(xJ,X23)),X25) = sdtpldt0(sdtasdt0(X24,X25),sdtasdt0(sK21(xJ,X23),X25))
| ~ aElement0(X24)
| ~ aElement0(X25) ),
inference(resolution,[],[f2682,f233]) ).
fof(f8177,plain,
! [X21,X22,X20] :
( sP4(xJ,X20)
| ~ aElementOf0(X20,xJ)
| sdtasdt0(X21,sdtpldt0(X22,sK21(xJ,X20))) = sdtpldt0(sdtasdt0(X21,X22),sdtasdt0(X21,sK21(xJ,X20)))
| ~ aElement0(X22)
| ~ aElement0(X21) ),
inference(resolution,[],[f2682,f232]) ).
fof(f8176,plain,
! [X18,X19,X17] :
( sP4(xJ,X17)
| ~ aElementOf0(X17,xJ)
| sdtpldt0(sdtpldt0(X18,X19),sK21(xJ,X17)) = sdtpldt0(X18,sdtpldt0(X19,sK21(xJ,X17)))
| ~ aElement0(X19)
| ~ aElement0(X18) ),
inference(resolution,[],[f2682,f231]) ).
fof(f8175,plain,
! [X16,X14,X15] :
( sP4(xJ,X14)
| ~ aElementOf0(X14,xJ)
| sdtasdt0(sdtasdt0(X15,X16),sK21(xJ,X14)) = sdtasdt0(X15,sdtasdt0(X16,sK21(xJ,X14)))
| ~ aElement0(X16)
| ~ aElement0(X15) ),
inference(resolution,[],[f2682,f230]) ).
fof(f8174,plain,
! [X12,X13] :
( sP4(xJ,X12)
| ~ aElementOf0(X12,xJ)
| sdtpldt0(X13,sK21(xJ,X12)) = sdtpldt0(sK21(xJ,X12),X13)
| ~ aElement0(X13) ),
inference(resolution,[],[f2682,f228]) ).
fof(f8173,plain,
! [X10,X11] :
( sP4(xJ,X10)
| ~ aElementOf0(X10,xJ)
| sdtasdt0(X11,sK21(xJ,X10)) = sdtasdt0(sK21(xJ,X10),X11)
| ~ aElement0(X11) ),
inference(resolution,[],[f2682,f227]) ).
fof(f8172,plain,
! [X9] :
( sP4(xJ,X9)
| ~ aElementOf0(X9,xJ)
| smndt0(sK21(xJ,X9)) = sdtasdt0(sK21(xJ,X9),smndt0(sz10)) ),
inference(resolution,[],[f2682,f189]) ).
fof(f8171,plain,
! [X8] :
( sP4(xJ,X8)
| ~ aElementOf0(X8,xJ)
| smndt0(sK21(xJ,X8)) = sdtasdt0(smndt0(sz10),sK21(xJ,X8)) ),
inference(resolution,[],[f2682,f188]) ).
fof(f8170,plain,
! [X7] :
( sP4(xJ,X7)
| ~ aElementOf0(X7,xJ)
| sz00 = sdtpldt0(smndt0(sK21(xJ,X7)),sK21(xJ,X7)) ),
inference(resolution,[],[f2682,f187]) ).
fof(f8169,plain,
! [X6] :
( sP4(xJ,X6)
| ~ aElementOf0(X6,xJ)
| sz00 = sdtpldt0(sK21(xJ,X6),smndt0(sK21(xJ,X6))) ),
inference(resolution,[],[f2682,f186]) ).
fof(f8168,plain,
! [X5] :
( sP4(xJ,X5)
| ~ aElementOf0(X5,xJ)
| sK21(xJ,X5) = sdtpldt0(sz00,sK21(xJ,X5)) ),
inference(resolution,[],[f2682,f185]) ).
fof(f8167,plain,
! [X4] :
( sP4(xJ,X4)
| ~ aElementOf0(X4,xJ)
| sK21(xJ,X4) = sdtpldt0(sK21(xJ,X4),sz00) ),
inference(resolution,[],[f2682,f184]) ).
fof(f8166,plain,
! [X3] :
( sP4(xJ,X3)
| ~ aElementOf0(X3,xJ)
| sK21(xJ,X3) = sdtasdt0(sz10,sK21(xJ,X3)) ),
inference(resolution,[],[f2682,f183]) ).
fof(f8165,plain,
! [X2] :
( sP4(xJ,X2)
| ~ aElementOf0(X2,xJ)
| sK21(xJ,X2) = sdtasdt0(sK21(xJ,X2),sz10) ),
inference(resolution,[],[f2682,f182]) ).
fof(f8164,plain,
! [X1] :
( sP4(xJ,X1)
| ~ aElementOf0(X1,xJ)
| sz00 = sdtasdt0(sz00,sK21(xJ,X1)) ),
inference(resolution,[],[f2682,f181]) ).
fof(f8163,plain,
! [X0] :
( sP4(xJ,X0)
| ~ aElementOf0(X0,xJ)
| sz00 = sdtasdt0(sK21(xJ,X0),sz00) ),
inference(resolution,[],[f2682,f180]) ).
fof(f2682,plain,
! [X3] :
( aElement0(sK21(xJ,X3))
| sP4(xJ,X3)
| ~ aElementOf0(X3,xJ) ),
inference(subsumption_resolution,[],[f2680,f192]) ).
fof(f2680,plain,
! [X3] :
( aElement0(sK21(xJ,X3))
| sP4(xJ,X3)
| ~ aElementOf0(sK22(xJ,X3),xJ)
| ~ aElementOf0(X3,xJ) ),
inference(resolution,[],[f193,f172]) ).
fof(f8045,plain,
! [X31] :
( sP4(xI,X31)
| ~ aElementOf0(X31,xI)
| smndt0(sK21(xI,X31)) = sdtpldt0(sz00,smndt0(sK21(xI,X31))) ),
inference(resolution,[],[f2681,f533]) ).
fof(f8044,plain,
! [X30] :
( sP4(xI,X30)
| ~ aElementOf0(X30,xI)
| smndt0(sK21(xI,X30)) = sdtpldt0(smndt0(sK21(xI,X30)),sz00) ),
inference(resolution,[],[f2681,f505]) ).
fof(f8043,plain,
! [X29] :
( sP4(xI,X29)
| ~ aElementOf0(X29,xI)
| smndt0(sK21(xI,X29)) = sdtasdt0(sz10,smndt0(sK21(xI,X29))) ),
inference(resolution,[],[f2681,f455]) ).
fof(f8042,plain,
! [X28] :
( sP4(xI,X28)
| ~ aElementOf0(X28,xI)
| smndt0(sK21(xI,X28)) = sdtasdt0(smndt0(sK21(xI,X28)),sz10) ),
inference(resolution,[],[f2681,f421]) ).
fof(f8041,plain,
! [X27] :
( sP4(xI,X27)
| ~ aElementOf0(X27,xI)
| sz00 = sdtasdt0(sz00,smndt0(sK21(xI,X27))) ),
inference(resolution,[],[f2681,f392]) ).
fof(f8040,plain,
! [X26] :
( sP4(xI,X26)
| ~ aElementOf0(X26,xI)
| sz00 = sdtasdt0(smndt0(sK21(xI,X26)),sz00) ),
inference(resolution,[],[f2681,f369]) ).
fof(f8039,plain,
! [X24,X25,X23] :
( sP4(xI,X23)
| ~ aElementOf0(X23,xI)
| sdtasdt0(sdtpldt0(X24,sK21(xI,X23)),X25) = sdtpldt0(sdtasdt0(X24,X25),sdtasdt0(sK21(xI,X23),X25))
| ~ aElement0(X24)
| ~ aElement0(X25) ),
inference(resolution,[],[f2681,f233]) ).
fof(f8038,plain,
! [X21,X22,X20] :
( sP4(xI,X20)
| ~ aElementOf0(X20,xI)
| sdtasdt0(X21,sdtpldt0(X22,sK21(xI,X20))) = sdtpldt0(sdtasdt0(X21,X22),sdtasdt0(X21,sK21(xI,X20)))
| ~ aElement0(X22)
| ~ aElement0(X21) ),
inference(resolution,[],[f2681,f232]) ).
fof(f8037,plain,
! [X18,X19,X17] :
( sP4(xI,X17)
| ~ aElementOf0(X17,xI)
| sdtpldt0(sdtpldt0(X18,X19),sK21(xI,X17)) = sdtpldt0(X18,sdtpldt0(X19,sK21(xI,X17)))
| ~ aElement0(X19)
| ~ aElement0(X18) ),
inference(resolution,[],[f2681,f231]) ).
fof(f8036,plain,
! [X16,X14,X15] :
( sP4(xI,X14)
| ~ aElementOf0(X14,xI)
| sdtasdt0(sdtasdt0(X15,X16),sK21(xI,X14)) = sdtasdt0(X15,sdtasdt0(X16,sK21(xI,X14)))
| ~ aElement0(X16)
| ~ aElement0(X15) ),
inference(resolution,[],[f2681,f230]) ).
fof(f8035,plain,
! [X12,X13] :
( sP4(xI,X12)
| ~ aElementOf0(X12,xI)
| sdtpldt0(X13,sK21(xI,X12)) = sdtpldt0(sK21(xI,X12),X13)
| ~ aElement0(X13) ),
inference(resolution,[],[f2681,f228]) ).
fof(f8034,plain,
! [X10,X11] :
( sP4(xI,X10)
| ~ aElementOf0(X10,xI)
| sdtasdt0(X11,sK21(xI,X10)) = sdtasdt0(sK21(xI,X10),X11)
| ~ aElement0(X11) ),
inference(resolution,[],[f2681,f227]) ).
fof(f8033,plain,
! [X9] :
( sP4(xI,X9)
| ~ aElementOf0(X9,xI)
| smndt0(sK21(xI,X9)) = sdtasdt0(sK21(xI,X9),smndt0(sz10)) ),
inference(resolution,[],[f2681,f189]) ).
fof(f8032,plain,
! [X8] :
( sP4(xI,X8)
| ~ aElementOf0(X8,xI)
| smndt0(sK21(xI,X8)) = sdtasdt0(smndt0(sz10),sK21(xI,X8)) ),
inference(resolution,[],[f2681,f188]) ).
fof(f8031,plain,
! [X7] :
( sP4(xI,X7)
| ~ aElementOf0(X7,xI)
| sz00 = sdtpldt0(smndt0(sK21(xI,X7)),sK21(xI,X7)) ),
inference(resolution,[],[f2681,f187]) ).
fof(f8030,plain,
! [X6] :
( sP4(xI,X6)
| ~ aElementOf0(X6,xI)
| sz00 = sdtpldt0(sK21(xI,X6),smndt0(sK21(xI,X6))) ),
inference(resolution,[],[f2681,f186]) ).
fof(f8029,plain,
! [X5] :
( sP4(xI,X5)
| ~ aElementOf0(X5,xI)
| sK21(xI,X5) = sdtpldt0(sz00,sK21(xI,X5)) ),
inference(resolution,[],[f2681,f185]) ).
fof(f8028,plain,
! [X4] :
( sP4(xI,X4)
| ~ aElementOf0(X4,xI)
| sK21(xI,X4) = sdtpldt0(sK21(xI,X4),sz00) ),
inference(resolution,[],[f2681,f184]) ).
fof(f8027,plain,
! [X3] :
( sP4(xI,X3)
| ~ aElementOf0(X3,xI)
| sK21(xI,X3) = sdtasdt0(sz10,sK21(xI,X3)) ),
inference(resolution,[],[f2681,f183]) ).
fof(f8026,plain,
! [X2] :
( sP4(xI,X2)
| ~ aElementOf0(X2,xI)
| sK21(xI,X2) = sdtasdt0(sK21(xI,X2),sz10) ),
inference(resolution,[],[f2681,f182]) ).
fof(f8025,plain,
! [X1] :
( sP4(xI,X1)
| ~ aElementOf0(X1,xI)
| sz00 = sdtasdt0(sz00,sK21(xI,X1)) ),
inference(resolution,[],[f2681,f181]) ).
fof(f8024,plain,
! [X0] :
( sP4(xI,X0)
| ~ aElementOf0(X0,xI)
| sz00 = sdtasdt0(sK21(xI,X0),sz00) ),
inference(resolution,[],[f2681,f180]) ).
fof(f2681,plain,
! [X2] :
( aElement0(sK21(xI,X2))
| sP4(xI,X2)
| ~ aElementOf0(X2,xI) ),
inference(subsumption_resolution,[],[f2679,f192]) ).
fof(f2679,plain,
! [X2] :
( aElement0(sK21(xI,X2))
| sP4(xI,X2)
| ~ aElementOf0(sK22(xI,X2),xI)
| ~ aElementOf0(X2,xI) ),
inference(resolution,[],[f193,f168]) ).
fof(f7533,plain,
! [X25] :
( ~ aElementOf0(sK22(sdtpldt1(xI,xJ),X25),xJ)
| ~ aElementOf0(X25,xI)
| aElement0(sK21(sdtpldt1(xI,xJ),X25))
| sP4(sdtpldt1(xI,xJ),X25) ),
inference(resolution,[],[f2310,f193]) ).
fof(f7531,plain,
! [X21,X20] :
( ~ aElementOf0(X20,xJ)
| ~ aElementOf0(X21,xI)
| sdtpldt0(X21,X20) = sdtpldt0(sK19(sdtpldt0(X21,X20)),sK20(sdtpldt0(X21,X20))) ),
inference(resolution,[],[f2310,f159]) ).
fof(f7530,plain,
! [X18,X19] :
( ~ aElementOf0(X18,xJ)
| ~ aElementOf0(X19,xI)
| aElementOf0(sK20(sdtpldt0(X19,X18)),xJ) ),
inference(resolution,[],[f2310,f158]) ).
fof(f7529,plain,
! [X16,X17] :
( ~ aElementOf0(X16,xJ)
| ~ aElementOf0(X17,xI)
| aElementOf0(sK19(sdtpldt0(X17,X16)),xI) ),
inference(resolution,[],[f2310,f157]) ).
fof(f7528,plain,
! [X14,X15,X12,X13] :
( ~ aElementOf0(X12,xJ)
| ~ aElementOf0(X13,xI)
| ~ aElement0(X14)
| sP3(sdtpldt0(X13,X12),X14,X15)
| ~ aElementOf0(X15,sdtpldt1(xI,xJ)) ),
inference(resolution,[],[f2310,f155]) ).
fof(f7527,plain,
! [X10,X11,X8,X6,X9,X7] :
( ~ aElementOf0(X6,xJ)
| ~ aElementOf0(X7,xI)
| ~ aElement0(X8)
| sP3(sdtpldt0(X7,X6),X8,X9)
| sdtpldt0(X10,X11) != X9
| ~ aElementOf0(X11,xJ)
| ~ aElementOf0(X10,xI) ),
inference(resolution,[],[f2310,f154]) ).
fof(f7526,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ aElementOf0(X0,xJ)
| ~ aElementOf0(X1,xI)
| ~ aElement0(X2)
| sdtpldt0(X3,X4) != X5
| ~ aElementOf0(X4,xJ)
| ~ aElementOf0(X3,xI)
| sP3(X5,X2,sdtpldt0(X1,X0)) ),
inference(resolution,[],[f2310,f153]) ).
fof(f2310,plain,
! [X0,X1] :
( aElementOf0(sdtpldt0(X0,X1),sdtpldt1(xI,xJ))
| ~ aElementOf0(X1,xJ)
| ~ aElementOf0(X0,xI) ),
inference(equality_resolution,[],[f160]) ).
fof(f1546,plain,
! [X8,X7] :
( aElementOf0(sK19(sdtasdt0(X7,X8)),xI)
| ~ sP4(sdtpldt1(xI,xJ),X8)
| ~ aElement0(X7) ),
inference(resolution,[],[f191,f157]) ).
fof(f1545,plain,
! [X6,X5] :
( aElementOf0(sK20(sdtasdt0(X5,X6)),xJ)
| ~ sP4(sdtpldt1(xI,xJ),X6)
| ~ aElement0(X5) ),
inference(resolution,[],[f191,f158]) ).
fof(f6971,plain,
! [X11,X12] :
( ~ sP6(X11,X12)
| aSet0(sdtasasdt0(X11,X12)) ),
inference(resolution,[],[f2196,f206]) ).
fof(f6970,plain,
! [X10,X8,X9] :
( ~ sP6(X8,X9)
| ~ aElementOf0(X10,sdtasasdt0(X8,X9))
| aElementOf0(X10,X8) ),
inference(resolution,[],[f2196,f207]) ).
fof(f6969,plain,
! [X6,X7,X5] :
( ~ sP6(X5,X6)
| ~ aElementOf0(X7,sdtasasdt0(X5,X6))
| aElementOf0(X7,X6) ),
inference(resolution,[],[f2196,f208]) ).
fof(f6967,plain,
! [X2,X0,X1] :
( ~ sP6(X0,X1)
| ~ aElementOf0(X2,X1)
| ~ aElementOf0(X2,X0)
| aElementOf0(X2,sdtasasdt0(X0,X1)) ),
inference(resolution,[],[f2196,f209]) ).
fof(f2196,plain,
! [X0,X1] :
( sP5(X0,X1,sdtasasdt0(X1,X0))
| ~ sP6(X1,X0) ),
inference(equality_resolution,[],[f204]) ).
fof(f6119,plain,
! [X27] :
( smndt0(sK23(X27)) = sdtpldt0(sz00,smndt0(sK23(X27)))
| ~ aSet0(X27)
| aIdeal0(X27) ),
inference(resolution,[],[f533,f794]) ).
fof(f6101,plain,
! [X8,X7] :
( smndt0(sdtasdt0(X7,X8)) = sdtpldt0(sz00,smndt0(sdtasdt0(X7,X8)))
| ~ aElement0(X8)
| ~ aElement0(X7) ),
inference(resolution,[],[f533,f225]) ).
fof(f6098,plain,
! [X2,X1] :
( smndt0(sdtpldt0(X1,X2)) = sdtpldt0(sz00,smndt0(sdtpldt0(X1,X2)))
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(resolution,[],[f533,f226]) ).
fof(f6092,plain,
! [X0] :
( smndt0(smndt0(X0)) = sdtpldt0(sz00,smndt0(smndt0(X0)))
| ~ aElement0(X0) ),
inference(resolution,[],[f533,f179]) ).
fof(f533,plain,
! [X0] :
( ~ aElement0(X0)
| smndt0(X0) = sdtpldt0(sz00,smndt0(X0)) ),
inference(resolution,[],[f185,f179]) ).
fof(f5987,plain,
! [X27] :
( smndt0(sK23(X27)) = sdtpldt0(smndt0(sK23(X27)),sz00)
| ~ aSet0(X27)
| aIdeal0(X27) ),
inference(resolution,[],[f505,f794]) ).
fof(f5969,plain,
! [X8,X7] :
( smndt0(sdtasdt0(X7,X8)) = sdtpldt0(smndt0(sdtasdt0(X7,X8)),sz00)
| ~ aElement0(X8)
| ~ aElement0(X7) ),
inference(resolution,[],[f505,f225]) ).
fof(f5966,plain,
! [X2,X1] :
( smndt0(sdtpldt0(X1,X2)) = sdtpldt0(smndt0(sdtpldt0(X1,X2)),sz00)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(resolution,[],[f505,f226]) ).
fof(f5960,plain,
! [X0] :
( smndt0(smndt0(X0)) = sdtpldt0(smndt0(smndt0(X0)),sz00)
| ~ aElement0(X0) ),
inference(resolution,[],[f505,f179]) ).
fof(f505,plain,
! [X0] :
( ~ aElement0(X0)
| smndt0(X0) = sdtpldt0(smndt0(X0),sz00) ),
inference(resolution,[],[f184,f179]) ).
fof(f5940,plain,
! [X27] :
( smndt0(sK23(X27)) = sdtasdt0(sz10,smndt0(sK23(X27)))
| ~ aSet0(X27)
| aIdeal0(X27) ),
inference(resolution,[],[f455,f794]) ).
fof(f5922,plain,
! [X8,X7] :
( smndt0(sdtasdt0(X7,X8)) = sdtasdt0(sz10,smndt0(sdtasdt0(X7,X8)))
| ~ aElement0(X8)
| ~ aElement0(X7) ),
inference(resolution,[],[f455,f225]) ).
fof(f5919,plain,
! [X2,X1] :
( smndt0(sdtpldt0(X1,X2)) = sdtasdt0(sz10,smndt0(sdtpldt0(X1,X2)))
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(resolution,[],[f455,f226]) ).
fof(f5913,plain,
! [X0] :
( smndt0(smndt0(X0)) = sdtasdt0(sz10,smndt0(smndt0(X0)))
| ~ aElement0(X0) ),
inference(resolution,[],[f455,f179]) ).
fof(f455,plain,
! [X0] :
( ~ aElement0(X0)
| smndt0(X0) = sdtasdt0(sz10,smndt0(X0)) ),
inference(resolution,[],[f183,f179]) ).
fof(f5853,plain,
! [X27] :
( smndt0(sK23(X27)) = sdtasdt0(smndt0(sK23(X27)),sz10)
| ~ aSet0(X27)
| aIdeal0(X27) ),
inference(resolution,[],[f421,f794]) ).
fof(f5835,plain,
! [X8,X7] :
( smndt0(sdtasdt0(X7,X8)) = sdtasdt0(smndt0(sdtasdt0(X7,X8)),sz10)
| ~ aElement0(X8)
| ~ aElement0(X7) ),
inference(resolution,[],[f421,f225]) ).
fof(f5832,plain,
! [X2,X1] :
( smndt0(sdtpldt0(X1,X2)) = sdtasdt0(smndt0(sdtpldt0(X1,X2)),sz10)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(resolution,[],[f421,f226]) ).
fof(f5826,plain,
! [X0] :
( smndt0(smndt0(X0)) = sdtasdt0(smndt0(smndt0(X0)),sz10)
| ~ aElement0(X0) ),
inference(resolution,[],[f421,f179]) ).
fof(f421,plain,
! [X0] :
( ~ aElement0(X0)
| smndt0(X0) = sdtasdt0(smndt0(X0),sz10) ),
inference(resolution,[],[f182,f179]) ).
fof(f1969,plain,
! [X0,X1] :
( aSet0(sdtpldt1(X0,X1))
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f222]) ).
fof(f4973,plain,
! [X19] :
( sz00 = sdtasdt0(sz00,smndt0(sK23(X19)))
| ~ aSet0(X19)
| aIdeal0(X19) ),
inference(resolution,[],[f392,f794]) ).
fof(f4954,plain,
! [X3,X4] :
( sz00 = sdtasdt0(sz00,smndt0(sdtasdt0(X3,X4)))
| ~ aElement0(X4)
| ~ aElement0(X3) ),
inference(resolution,[],[f392,f225]) ).
fof(f4953,plain,
! [X2,X1] :
( sz00 = sdtasdt0(sz00,smndt0(sdtpldt0(X1,X2)))
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(resolution,[],[f392,f226]) ).
fof(f4946,plain,
! [X0] :
( sz00 = sdtasdt0(sz00,smndt0(smndt0(X0)))
| ~ aElement0(X0) ),
inference(resolution,[],[f392,f179]) ).
fof(f392,plain,
! [X0] :
( ~ aElement0(X0)
| sz00 = sdtasdt0(sz00,smndt0(X0)) ),
inference(resolution,[],[f181,f179]) ).
fof(f2866,plain,
! [X16,X17,X15] :
( ~ sP3(X15,X16,X17)
| sP0(X15,X17) ),
inference(resolution,[],[f133,f142]) ).
fof(f2865,plain,
! [X14,X12,X13] :
( ~ sP3(X12,X13,X14)
| sP1(X14,X13) ),
inference(resolution,[],[f133,f144]) ).
fof(f4265,plain,
( sdtasdt0(sK17,sK16) = sdtasdt0(sK16,sK17)
| ~ spl32_189 ),
inference(avatar_component_clause,[],[f4263]) ).
fof(f4263,plain,
( spl32_189
<=> sdtasdt0(sK17,sK16) = sdtasdt0(sK16,sK17) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_189])]) ).
fof(f4085,plain,
! [X2,X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(sdtpldt0(sK8(X1,X2,X0),sK10(X0,X2,X1,sK9(X1,X2,X0),sK8(X1,X2,X0))),sdtpldt0(sK9(X1,X2,X0),sK11(X0,X2,X1,sK9(X1,X2,X0),sK8(X1,X2,X0))))
| ~ sP3(X1,X2,X0) ),
inference(resolution,[],[f141,f133]) ).
fof(f141,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP2(X0,X1,X2,X3,X4)
| sdtpldt0(X0,X2) = sdtpldt0(sdtpldt0(X4,sK10(X0,X1,X2,X3,X4)),sdtpldt0(X3,sK11(X0,X1,X2,X3,X4))) ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0,X1,X2,X3,X4] :
( ( aElementOf0(sdtasdt0(X1,X0),sdtpldt1(xI,xJ))
& sP1(X0,X1)
& aElementOf0(sdtpldt0(X0,X2),sdtpldt1(xI,xJ))
& sP0(X2,X0)
& sdtpldt0(X0,X2) = sdtpldt0(sdtpldt0(X4,sK10(X0,X1,X2,X3,X4)),sdtpldt0(X3,sK11(X0,X1,X2,X3,X4)))
& aElementOf0(sdtasdt0(X1,X3),xJ)
& aElementOf0(sdtasdt0(X1,X4),xI)
& aElementOf0(sdtpldt0(X3,sK11(X0,X1,X2,X3,X4)),xJ)
& aElementOf0(sdtpldt0(X4,sK10(X0,X1,X2,X3,X4)),xI)
& sdtpldt0(sK10(X0,X1,X2,X3,X4),sK11(X0,X1,X2,X3,X4)) = X2
& aElementOf0(sK11(X0,X1,X2,X3,X4),xJ)
& aElementOf0(sK10(X0,X1,X2,X3,X4),xI) )
| ~ sP2(X0,X1,X2,X3,X4) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11])],[f84,f85]) ).
fof(f85,plain,
! [X0,X1,X2,X3,X4] :
( ? [X5,X6] :
( aElementOf0(sdtasdt0(X1,X0),sdtpldt1(xI,xJ))
& sP1(X0,X1)
& aElementOf0(sdtpldt0(X0,X2),sdtpldt1(xI,xJ))
& sP0(X2,X0)
& sdtpldt0(X0,X2) = sdtpldt0(sdtpldt0(X4,X5),sdtpldt0(X3,X6))
& aElementOf0(sdtasdt0(X1,X3),xJ)
& aElementOf0(sdtasdt0(X1,X4),xI)
& aElementOf0(sdtpldt0(X3,X6),xJ)
& aElementOf0(sdtpldt0(X4,X5),xI)
& sdtpldt0(X5,X6) = X2
& aElementOf0(X6,xJ)
& aElementOf0(X5,xI) )
=> ( aElementOf0(sdtasdt0(X1,X0),sdtpldt1(xI,xJ))
& sP1(X0,X1)
& aElementOf0(sdtpldt0(X0,X2),sdtpldt1(xI,xJ))
& sP0(X2,X0)
& sdtpldt0(X0,X2) = sdtpldt0(sdtpldt0(X4,sK10(X0,X1,X2,X3,X4)),sdtpldt0(X3,sK11(X0,X1,X2,X3,X4)))
& aElementOf0(sdtasdt0(X1,X3),xJ)
& aElementOf0(sdtasdt0(X1,X4),xI)
& aElementOf0(sdtpldt0(X3,sK11(X0,X1,X2,X3,X4)),xJ)
& aElementOf0(sdtpldt0(X4,sK10(X0,X1,X2,X3,X4)),xI)
& sdtpldt0(sK10(X0,X1,X2,X3,X4),sK11(X0,X1,X2,X3,X4)) = X2
& aElementOf0(sK11(X0,X1,X2,X3,X4),xJ)
& aElementOf0(sK10(X0,X1,X2,X3,X4),xI) ) ),
introduced(choice_axiom,[]) ).
fof(f84,plain,
! [X0,X1,X2,X3,X4] :
( ? [X5,X6] :
( aElementOf0(sdtasdt0(X1,X0),sdtpldt1(xI,xJ))
& sP1(X0,X1)
& aElementOf0(sdtpldt0(X0,X2),sdtpldt1(xI,xJ))
& sP0(X2,X0)
& sdtpldt0(X0,X2) = sdtpldt0(sdtpldt0(X4,X5),sdtpldt0(X3,X6))
& aElementOf0(sdtasdt0(X1,X3),xJ)
& aElementOf0(sdtasdt0(X1,X4),xI)
& aElementOf0(sdtpldt0(X3,X6),xJ)
& aElementOf0(sdtpldt0(X4,X5),xI)
& sdtpldt0(X5,X6) = X2
& aElementOf0(X6,xJ)
& aElementOf0(X5,xI) )
| ~ sP2(X0,X1,X2,X3,X4) ),
inference(rectify,[],[f83]) ).
fof(f83,plain,
! [X0,X2,X1,X8,X7] :
( ? [X9,X10] :
( aElementOf0(sdtasdt0(X2,X0),sdtpldt1(xI,xJ))
& sP1(X0,X2)
& aElementOf0(sdtpldt0(X0,X1),sdtpldt1(xI,xJ))
& sP0(X1,X0)
& sdtpldt0(X0,X1) = sdtpldt0(sdtpldt0(X7,X9),sdtpldt0(X8,X10))
& aElementOf0(sdtasdt0(X2,X8),xJ)
& aElementOf0(sdtasdt0(X2,X7),xI)
& aElementOf0(sdtpldt0(X8,X10),xJ)
& aElementOf0(sdtpldt0(X7,X9),xI)
& sdtpldt0(X9,X10) = X1
& aElementOf0(X10,xJ)
& aElementOf0(X9,xI) )
| ~ sP2(X0,X2,X1,X8,X7) ),
inference(nnf_transformation,[],[f69]) ).
fof(f221,plain,
! [X2,X0,X1,X4,X5] :
( sdtpldt0(X4,X5) != sK27(X0,X1,X2)
| sP7(X0,X1,X2)
| ~ aElementOf0(X5,X0)
| ~ aElementOf0(X4,X1)
| ~ aElementOf0(sK27(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0,X1,X2] :
( ( sP7(X0,X1,X2)
| ( ( ! [X4,X5] :
( sdtpldt0(X4,X5) != sK27(X0,X1,X2)
| ~ aElementOf0(X5,X0)
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(sK27(X0,X1,X2),X2) )
& ( ( sK27(X0,X1,X2) = sdtpldt0(sK28(X0,X1,X2),sK29(X0,X1,X2))
& aElementOf0(sK29(X0,X1,X2),X0)
& aElementOf0(sK28(X0,X1,X2),X1) )
| aElementOf0(sK27(X0,X1,X2),X2) ) ) )
& ( ! [X8] :
( ( aElementOf0(X8,X2)
| ! [X9,X10] :
( sdtpldt0(X9,X10) != X8
| ~ aElementOf0(X10,X0)
| ~ aElementOf0(X9,X1) ) )
& ( ( sdtpldt0(sK30(X0,X1,X8),sK31(X0,X1,X8)) = X8
& aElementOf0(sK31(X0,X1,X8),X0)
& aElementOf0(sK30(X0,X1,X8),X1) )
| ~ aElementOf0(X8,X2) ) )
| ~ sP7(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK27,sK28,sK29,sK30,sK31])],[f123,f126,f125,f124]) ).
fof(f124,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ! [X4,X5] :
( sdtpldt0(X4,X5) != X3
| ~ aElementOf0(X5,X0)
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(X3,X2) )
& ( ? [X6,X7] :
( sdtpldt0(X6,X7) = X3
& aElementOf0(X7,X0)
& aElementOf0(X6,X1) )
| aElementOf0(X3,X2) ) )
=> ( ( ! [X5,X4] :
( sdtpldt0(X4,X5) != sK27(X0,X1,X2)
| ~ aElementOf0(X5,X0)
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(sK27(X0,X1,X2),X2) )
& ( ? [X7,X6] :
( sdtpldt0(X6,X7) = sK27(X0,X1,X2)
& aElementOf0(X7,X0)
& aElementOf0(X6,X1) )
| aElementOf0(sK27(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f125,plain,
! [X0,X1,X2] :
( ? [X7,X6] :
( sdtpldt0(X6,X7) = sK27(X0,X1,X2)
& aElementOf0(X7,X0)
& aElementOf0(X6,X1) )
=> ( sK27(X0,X1,X2) = sdtpldt0(sK28(X0,X1,X2),sK29(X0,X1,X2))
& aElementOf0(sK29(X0,X1,X2),X0)
& aElementOf0(sK28(X0,X1,X2),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f126,plain,
! [X0,X1,X8] :
( ? [X11,X12] :
( sdtpldt0(X11,X12) = X8
& aElementOf0(X12,X0)
& aElementOf0(X11,X1) )
=> ( sdtpldt0(sK30(X0,X1,X8),sK31(X0,X1,X8)) = X8
& aElementOf0(sK31(X0,X1,X8),X0)
& aElementOf0(sK30(X0,X1,X8),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f123,plain,
! [X0,X1,X2] :
( ( sP7(X0,X1,X2)
| ? [X3] :
( ( ! [X4,X5] :
( sdtpldt0(X4,X5) != X3
| ~ aElementOf0(X5,X0)
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(X3,X2) )
& ( ? [X6,X7] :
( sdtpldt0(X6,X7) = X3
& aElementOf0(X7,X0)
& aElementOf0(X6,X1) )
| aElementOf0(X3,X2) ) ) )
& ( ! [X8] :
( ( aElementOf0(X8,X2)
| ! [X9,X10] :
( sdtpldt0(X9,X10) != X8
| ~ aElementOf0(X10,X0)
| ~ aElementOf0(X9,X1) ) )
& ( ? [X11,X12] :
( sdtpldt0(X11,X12) = X8
& aElementOf0(X12,X0)
& aElementOf0(X11,X1) )
| ~ aElementOf0(X8,X2) ) )
| ~ sP7(X0,X1,X2) ) ),
inference(rectify,[],[f122]) ).
fof(f122,plain,
! [X1,X0,X2] :
( ( sP7(X1,X0,X2)
| ? [X3] :
( ( ! [X4,X5] :
( sdtpldt0(X4,X5) != X3
| ~ aElementOf0(X5,X1)
| ~ aElementOf0(X4,X0) )
| ~ aElementOf0(X3,X2) )
& ( ? [X4,X5] :
( sdtpldt0(X4,X5) = X3
& aElementOf0(X5,X1)
& aElementOf0(X4,X0) )
| aElementOf0(X3,X2) ) ) )
& ( ! [X3] :
( ( aElementOf0(X3,X2)
| ! [X4,X5] :
( sdtpldt0(X4,X5) != X3
| ~ aElementOf0(X5,X1)
| ~ aElementOf0(X4,X0) ) )
& ( ? [X4,X5] :
( sdtpldt0(X4,X5) = X3
& aElementOf0(X5,X1)
& aElementOf0(X4,X0) )
| ~ aElementOf0(X3,X2) ) )
| ~ sP7(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X1,X0,X2] :
( sP7(X1,X0,X2)
<=> ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4,X5] :
( sdtpldt0(X4,X5) = X3
& aElementOf0(X5,X1)
& aElementOf0(X4,X0) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f4018,plain,
! [X24,X23] :
( sK27(X23,X24,sdtpldt1(xI,xJ)) = sdtpldt0(sK28(X23,X24,sdtpldt1(xI,xJ)),sK29(X23,X24,sdtpldt1(xI,xJ)))
| sP7(X23,X24,sdtpldt1(xI,xJ))
| aElementOf0(sK19(sK27(X23,X24,sdtpldt1(xI,xJ))),xI) ),
inference(resolution,[],[f220,f157]) ).
fof(f4017,plain,
! [X21,X22] :
( sK27(X21,X22,sdtpldt1(xI,xJ)) = sdtpldt0(sK28(X21,X22,sdtpldt1(xI,xJ)),sK29(X21,X22,sdtpldt1(xI,xJ)))
| sP7(X21,X22,sdtpldt1(xI,xJ))
| aElementOf0(sK20(sK27(X21,X22,sdtpldt1(xI,xJ))),xJ) ),
inference(resolution,[],[f220,f158]) ).
fof(f4016,plain,
! [X19,X20] :
( sK27(X19,X20,sdtpldt1(xI,xJ)) = sdtpldt0(sK28(X19,X20,sdtpldt1(xI,xJ)),sK29(X19,X20,sdtpldt1(xI,xJ)))
| sP7(X19,X20,sdtpldt1(xI,xJ))
| sK27(X19,X20,sdtpldt1(xI,xJ)) = sdtpldt0(sK19(sK27(X19,X20,sdtpldt1(xI,xJ))),sK20(sK27(X19,X20,sdtpldt1(xI,xJ)))) ),
inference(resolution,[],[f220,f159]) ).
fof(f4015,plain,
! [X18,X16,X17,X15] :
( sK27(X15,X16,sdtpldt1(xI,xJ)) = sdtpldt0(sK28(X15,X16,sdtpldt1(xI,xJ)),sK29(X15,X16,sdtpldt1(xI,xJ)))
| sP7(X15,X16,sdtpldt1(xI,xJ))
| ~ aElement0(X17)
| sP3(sK27(X15,X16,sdtpldt1(xI,xJ)),X17,X18)
| ~ aElementOf0(X18,sdtpldt1(xI,xJ)) ),
inference(resolution,[],[f220,f155]) ).
fof(f4014,plain,
! [X10,X11,X9,X14,X12,X13] :
( sK27(X9,X10,sdtpldt1(xI,xJ)) = sdtpldt0(sK28(X9,X10,sdtpldt1(xI,xJ)),sK29(X9,X10,sdtpldt1(xI,xJ)))
| sP7(X9,X10,sdtpldt1(xI,xJ))
| ~ aElement0(X11)
| sdtpldt0(X12,X13) != X14
| ~ aElementOf0(X13,xJ)
| ~ aElementOf0(X12,xI)
| sP3(X14,X11,sK27(X9,X10,sdtpldt1(xI,xJ))) ),
inference(resolution,[],[f220,f153]) ).
fof(f4013,plain,
! [X3,X8,X6,X7,X4,X5] :
( sK27(X3,X4,sdtpldt1(xI,xJ)) = sdtpldt0(sK28(X3,X4,sdtpldt1(xI,xJ)),sK29(X3,X4,sdtpldt1(xI,xJ)))
| sP7(X3,X4,sdtpldt1(xI,xJ))
| ~ aElement0(X5)
| sP3(sK27(X3,X4,sdtpldt1(xI,xJ)),X5,X6)
| sdtpldt0(X7,X8) != X6
| ~ aElementOf0(X8,xJ)
| ~ aElementOf0(X7,xI) ),
inference(resolution,[],[f220,f154]) ).
fof(f4012,plain,
! [X2,X0,X1] :
( sK27(X0,X1,X2) = sdtpldt0(sK28(X0,X1,X2),sK29(X0,X1,X2))
| sP7(X0,X1,X2)
| aElement0(sK27(X0,X1,X2))
| ~ aSet0(X2) ),
inference(resolution,[],[f220,f178]) ).
fof(f220,plain,
! [X2,X0,X1] :
( aElementOf0(sK27(X0,X1,X2),X2)
| sK27(X0,X1,X2) = sdtpldt0(sK28(X0,X1,X2),sK29(X0,X1,X2))
| sP7(X0,X1,X2) ),
inference(cnf_transformation,[],[f127]) ).
fof(f212,plain,
! [X2,X0,X1] :
( ~ aElementOf0(sK26(X0,X1,X2),X2)
| ~ aElementOf0(sK26(X0,X1,X2),X0)
| ~ aElementOf0(sK26(X0,X1,X2),X1)
| sP5(X0,X1,X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0,X1,X2] :
( ( sP5(X0,X1,X2)
| ( ( ~ aElementOf0(sK26(X0,X1,X2),X0)
| ~ aElementOf0(sK26(X0,X1,X2),X1)
| ~ aElementOf0(sK26(X0,X1,X2),X2) )
& ( ( aElementOf0(sK26(X0,X1,X2),X0)
& aElementOf0(sK26(X0,X1,X2),X1) )
| aElementOf0(sK26(X0,X1,X2),X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| ~ aElementOf0(X4,X0)
| ~ aElementOf0(X4,X1) )
& ( ( aElementOf0(X4,X0)
& aElementOf0(X4,X1) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| ~ sP5(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK26])],[f119,f120]) ).
fof(f120,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ~ aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ aElementOf0(X3,X2) )
& ( ( aElementOf0(X3,X0)
& aElementOf0(X3,X1) )
| aElementOf0(X3,X2) ) )
=> ( ( ~ aElementOf0(sK26(X0,X1,X2),X0)
| ~ aElementOf0(sK26(X0,X1,X2),X1)
| ~ aElementOf0(sK26(X0,X1,X2),X2) )
& ( ( aElementOf0(sK26(X0,X1,X2),X0)
& aElementOf0(sK26(X0,X1,X2),X1) )
| aElementOf0(sK26(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f119,plain,
! [X0,X1,X2] :
( ( sP5(X0,X1,X2)
| ? [X3] :
( ( ~ aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ aElementOf0(X3,X2) )
& ( ( aElementOf0(X3,X0)
& aElementOf0(X3,X1) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| ~ aElementOf0(X4,X0)
| ~ aElementOf0(X4,X1) )
& ( ( aElementOf0(X4,X0)
& aElementOf0(X4,X1) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| ~ sP5(X0,X1,X2) ) ),
inference(rectify,[],[f118]) ).
fof(f118,plain,
! [X1,X0,X2] :
( ( sP5(X1,X0,X2)
| ? [X3] :
( ( ~ aElementOf0(X3,X1)
| ~ aElementOf0(X3,X0)
| ~ aElementOf0(X3,X2) )
& ( ( aElementOf0(X3,X1)
& aElementOf0(X3,X0) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| ~ aElementOf0(X3,X1)
| ~ aElementOf0(X3,X0) )
& ( ( aElementOf0(X3,X1)
& aElementOf0(X3,X0) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| ~ sP5(X1,X0,X2) ) ),
inference(flattening,[],[f117]) ).
fof(f117,plain,
! [X1,X0,X2] :
( ( sP5(X1,X0,X2)
| ? [X3] :
( ( ~ aElementOf0(X3,X1)
| ~ aElementOf0(X3,X0)
| ~ aElementOf0(X3,X2) )
& ( ( aElementOf0(X3,X1)
& aElementOf0(X3,X0) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| ~ aElementOf0(X3,X1)
| ~ aElementOf0(X3,X0) )
& ( ( aElementOf0(X3,X1)
& aElementOf0(X3,X0) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| ~ sP5(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X1,X0,X2] :
( sP5(X1,X0,X2)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElementOf0(X3,X1)
& aElementOf0(X3,X0) ) )
& aSet0(X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f3918,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ aElement0(X0)
| sdtpldt0(X1,X2) != X3
| ~ aElementOf0(X2,xJ)
| ~ aElementOf0(X1,xI)
| sP3(X3,X0,sdtpldt0(X4,X5))
| ~ aElementOf0(X5,xJ)
| ~ aElementOf0(X4,xI) ),
inference(equality_resolution,[],[f152]) ).
fof(f152,plain,
! [X10,X11,X8,X9,X14,X12,X13] :
( sdtpldt0(X13,X14) != X8
| ~ aElement0(X10)
| sdtpldt0(X11,X12) != X9
| ~ aElementOf0(X12,xJ)
| ~ aElementOf0(X11,xI)
| sP3(X9,X10,X8)
| ~ aElementOf0(X14,xJ)
| ~ aElementOf0(X13,xI) ),
inference(cnf_transformation,[],[f101]) ).
fof(f3875,plain,
! [X2,X0,X1] :
( sdtpldt0(sK10(X0,X1,X2,sK9(X2,X1,X0),sK8(X2,X1,X0)),sK11(X0,X1,X2,sK9(X2,X1,X0),sK8(X2,X1,X0))) = X2
| ~ sP3(X2,X1,X0) ),
inference(resolution,[],[f136,f133]) ).
fof(f136,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP2(X0,X1,X2,X3,X4)
| sdtpldt0(sK10(X0,X1,X2,X3,X4),sK11(X0,X1,X2,X3,X4)) = X2 ),
inference(cnf_transformation,[],[f86]) ).
fof(f3874,plain,
! [X65,X63,X64] :
( sdtasdt0(sdtpldt0(X63,sK23(X64)),X65) = sdtpldt0(sdtasdt0(X63,X65),sdtasdt0(sK23(X64),X65))
| ~ aElement0(X63)
| ~ aElement0(X65)
| ~ aSet0(X64)
| aIdeal0(X64) ),
inference(resolution,[],[f233,f794]) ).
fof(f3859,plain,
! [X21,X19,X22,X20] :
( sdtasdt0(sdtpldt0(X19,sdtasdt0(X20,X21)),X22) = sdtpldt0(sdtasdt0(X19,X22),sdtasdt0(sdtasdt0(X20,X21),X22))
| ~ aElement0(X19)
| ~ aElement0(X22)
| ~ aElement0(X21)
| ~ aElement0(X20) ),
inference(resolution,[],[f233,f225]) ).
fof(f3858,plain,
! [X18,X16,X17,X15] :
( sdtasdt0(sdtpldt0(X15,sdtpldt0(X16,X17)),X18) = sdtpldt0(sdtasdt0(X15,X18),sdtasdt0(sdtpldt0(X16,X17),X18))
| ~ aElement0(X15)
| ~ aElement0(X18)
| ~ aElement0(X17)
| ~ aElement0(X16) ),
inference(resolution,[],[f233,f226]) ).
fof(f3853,plain,
! [X6,X4,X5] :
( sdtasdt0(sdtpldt0(X4,smndt0(X5)),X6) = sdtpldt0(sdtasdt0(X4,X6),sdtasdt0(smndt0(X5),X6))
| ~ aElement0(X4)
| ~ aElement0(X6)
| ~ aElement0(X5) ),
inference(resolution,[],[f233,f179]) ).
fof(f233,plain,
! [X2,X0,X1] :
( ~ aElement0(X2)
| sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0,X1,X2] :
( ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f65]) ).
fof(f65,plain,
! [X0,X1,X2] :
( ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aElement0(X2)
& aElement0(X1)
& aElement0(X0) )
=> ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.KGcFcWB5TY/Vampire---4.8_3400',mAMDistr) ).
fof(f3793,plain,
! [X65,X66,X67] :
( sdtasdt0(X65,sdtpldt0(X66,sK23(X67))) = sdtpldt0(sdtasdt0(X65,X66),sdtasdt0(X65,sK23(X67)))
| ~ aElement0(X66)
| ~ aElement0(X65)
| ~ aSet0(X67)
| aIdeal0(X67) ),
inference(resolution,[],[f232,f794]) ).
fof(f3778,plain,
! [X21,X24,X22,X23] :
( sdtasdt0(X21,sdtpldt0(X22,sdtasdt0(X23,X24))) = sdtpldt0(sdtasdt0(X21,X22),sdtasdt0(X21,sdtasdt0(X23,X24)))
| ~ aElement0(X22)
| ~ aElement0(X21)
| ~ aElement0(X24)
| ~ aElement0(X23) ),
inference(resolution,[],[f232,f225]) ).
fof(f3777,plain,
! [X18,X19,X17,X20] :
( sdtasdt0(X17,sdtpldt0(X18,sdtpldt0(X19,X20))) = sdtpldt0(sdtasdt0(X17,X18),sdtasdt0(X17,sdtpldt0(X19,X20)))
| ~ aElement0(X18)
| ~ aElement0(X17)
| ~ aElement0(X20)
| ~ aElement0(X19) ),
inference(resolution,[],[f232,f226]) ).
fof(f3771,plain,
! [X6,X4,X5] :
( sdtasdt0(X4,sdtpldt0(X5,smndt0(X6))) = sdtpldt0(sdtasdt0(X4,X5),sdtasdt0(X4,smndt0(X6)))
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X6) ),
inference(resolution,[],[f232,f179]) ).
fof(f232,plain,
! [X2,X0,X1] :
( ~ aElement0(X2)
| sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f3733,plain,
! [X2,X3,X0,X1,X4] :
( aElementOf0(sdtpldt0(X0,X1),X2)
| ~ aElementOf0(X1,X3)
| ~ aElementOf0(X0,X4)
| ~ sP7(X3,X4,X2) ),
inference(equality_resolution,[],[f217]) ).
fof(f217,plain,
! [X2,X10,X0,X1,X8,X9] :
( sdtpldt0(X9,X10) != X8
| aElementOf0(X8,X2)
| ~ aElementOf0(X10,X0)
| ~ aElementOf0(X9,X1)
| ~ sP7(X0,X1,X2) ),
inference(cnf_transformation,[],[f127]) ).
fof(f216,plain,
! [X2,X0,X1,X8] :
( ~ sP7(X0,X1,X2)
| ~ aElementOf0(X8,X2)
| sdtpldt0(sK30(X0,X1,X8),sK31(X0,X1,X8)) = X8 ),
inference(cnf_transformation,[],[f127]) ).
fof(f3555,plain,
! [X24,X23] :
( aElementOf0(sK26(sdtpldt1(xI,xJ),X23,X24),X24)
| sP5(sdtpldt1(xI,xJ),X23,X24)
| ~ aSet0(X24)
| aElementOf0(sK19(sK26(sdtpldt1(xI,xJ),X23,X24)),xI) ),
inference(resolution,[],[f211,f157]) ).
fof(f3554,plain,
! [X21,X22] :
( aElementOf0(sK26(sdtpldt1(xI,xJ),X21,X22),X22)
| sP5(sdtpldt1(xI,xJ),X21,X22)
| ~ aSet0(X22)
| aElementOf0(sK20(sK26(sdtpldt1(xI,xJ),X21,X22)),xJ) ),
inference(resolution,[],[f211,f158]) ).
fof(f3553,plain,
! [X19,X20] :
( aElementOf0(sK26(sdtpldt1(xI,xJ),X19,X20),X20)
| sP5(sdtpldt1(xI,xJ),X19,X20)
| ~ aSet0(X20)
| sK26(sdtpldt1(xI,xJ),X19,X20) = sdtpldt0(sK19(sK26(sdtpldt1(xI,xJ),X19,X20)),sK20(sK26(sdtpldt1(xI,xJ),X19,X20))) ),
inference(resolution,[],[f211,f159]) ).
fof(f3552,plain,
! [X18,X16,X17,X15] :
( aElementOf0(sK26(sdtpldt1(xI,xJ),X15,X16),X16)
| sP5(sdtpldt1(xI,xJ),X15,X16)
| ~ aSet0(X16)
| ~ aElement0(X17)
| sP3(sK26(sdtpldt1(xI,xJ),X15,X16),X17,X18)
| ~ aElementOf0(X18,sdtpldt1(xI,xJ)) ),
inference(resolution,[],[f211,f155]) ).
fof(f3551,plain,
! [X10,X11,X9,X14,X12,X13] :
( aElementOf0(sK26(sdtpldt1(xI,xJ),X9,X10),X10)
| sP5(sdtpldt1(xI,xJ),X9,X10)
| ~ aSet0(X10)
| ~ aElement0(X11)
| sdtpldt0(X12,X13) != X14
| ~ aElementOf0(X13,xJ)
| ~ aElementOf0(X12,xI)
| sP3(X14,X11,sK26(sdtpldt1(xI,xJ),X9,X10)) ),
inference(resolution,[],[f211,f153]) ).
fof(f3550,plain,
! [X3,X8,X6,X7,X4,X5] :
( aElementOf0(sK26(sdtpldt1(xI,xJ),X3,X4),X4)
| sP5(sdtpldt1(xI,xJ),X3,X4)
| ~ aSet0(X4)
| ~ aElement0(X5)
| sP3(sK26(sdtpldt1(xI,xJ),X3,X4),X5,X6)
| sdtpldt0(X7,X8) != X6
| ~ aElementOf0(X8,xJ)
| ~ aElementOf0(X7,xI) ),
inference(resolution,[],[f211,f154]) ).
fof(f3564,plain,
! [X2,X0,X1] :
( sP5(X0,X1,X2)
| ~ aSet0(X2)
| aElement0(sK26(X0,X1,X2))
| ~ aSet0(X0) ),
inference(subsumption_resolution,[],[f3549,f178]) ).
fof(f3549,plain,
! [X2,X0,X1] :
( aElementOf0(sK26(X0,X1,X2),X2)
| sP5(X0,X1,X2)
| ~ aSet0(X2)
| aElement0(sK26(X0,X1,X2))
| ~ aSet0(X0) ),
inference(resolution,[],[f211,f178]) ).
fof(f3557,plain,
! [X2,X0,X1] :
( aElementOf0(sK26(X0,X1,X2),X0)
| sP5(X0,X1,X2)
| ~ aSet0(X2)
| aElement0(sK26(X0,X1,X2)) ),
inference(duplicate_literal_removal,[],[f3542]) ).
fof(f3542,plain,
! [X2,X0,X1] :
( aElementOf0(sK26(X0,X1,X2),X0)
| sP5(X0,X1,X2)
| ~ aSet0(X2)
| aElement0(sK26(X0,X1,X2))
| ~ aSet0(X2) ),
inference(resolution,[],[f211,f178]) ).
fof(f211,plain,
! [X2,X0,X1] :
( aElementOf0(sK26(X0,X1,X2),X2)
| aElementOf0(sK26(X0,X1,X2),X0)
| sP5(X0,X1,X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f121]) ).
fof(f3529,plain,
! [X24,X23] :
( aElementOf0(sK26(X23,sdtpldt1(xI,xJ),X24),X24)
| sP5(X23,sdtpldt1(xI,xJ),X24)
| ~ aSet0(X24)
| aElementOf0(sK19(sK26(X23,sdtpldt1(xI,xJ),X24)),xI) ),
inference(resolution,[],[f210,f157]) ).
fof(f3528,plain,
! [X21,X22] :
( aElementOf0(sK26(X21,sdtpldt1(xI,xJ),X22),X22)
| sP5(X21,sdtpldt1(xI,xJ),X22)
| ~ aSet0(X22)
| aElementOf0(sK20(sK26(X21,sdtpldt1(xI,xJ),X22)),xJ) ),
inference(resolution,[],[f210,f158]) ).
fof(f3527,plain,
! [X19,X20] :
( aElementOf0(sK26(X19,sdtpldt1(xI,xJ),X20),X20)
| sP5(X19,sdtpldt1(xI,xJ),X20)
| ~ aSet0(X20)
| sK26(X19,sdtpldt1(xI,xJ),X20) = sdtpldt0(sK19(sK26(X19,sdtpldt1(xI,xJ),X20)),sK20(sK26(X19,sdtpldt1(xI,xJ),X20))) ),
inference(resolution,[],[f210,f159]) ).
fof(f3526,plain,
! [X18,X16,X17,X15] :
( aElementOf0(sK26(X15,sdtpldt1(xI,xJ),X16),X16)
| sP5(X15,sdtpldt1(xI,xJ),X16)
| ~ aSet0(X16)
| ~ aElement0(X17)
| sP3(sK26(X15,sdtpldt1(xI,xJ),X16),X17,X18)
| ~ aElementOf0(X18,sdtpldt1(xI,xJ)) ),
inference(resolution,[],[f210,f155]) ).
fof(f3525,plain,
! [X10,X11,X9,X14,X12,X13] :
( aElementOf0(sK26(X9,sdtpldt1(xI,xJ),X10),X10)
| sP5(X9,sdtpldt1(xI,xJ),X10)
| ~ aSet0(X10)
| ~ aElement0(X11)
| sdtpldt0(X12,X13) != X14
| ~ aElementOf0(X13,xJ)
| ~ aElementOf0(X12,xI)
| sP3(X14,X11,sK26(X9,sdtpldt1(xI,xJ),X10)) ),
inference(resolution,[],[f210,f153]) ).
fof(f3524,plain,
! [X3,X8,X6,X7,X4,X5] :
( aElementOf0(sK26(X3,sdtpldt1(xI,xJ),X4),X4)
| sP5(X3,sdtpldt1(xI,xJ),X4)
| ~ aSet0(X4)
| ~ aElement0(X5)
| sP3(sK26(X3,sdtpldt1(xI,xJ),X4),X5,X6)
| sdtpldt0(X7,X8) != X6
| ~ aElementOf0(X8,xJ)
| ~ aElementOf0(X7,xI) ),
inference(resolution,[],[f210,f154]) ).
fof(f3538,plain,
! [X2,X0,X1] :
( sP5(X0,X1,X2)
| ~ aSet0(X2)
| aElement0(sK26(X0,X1,X2))
| ~ aSet0(X1) ),
inference(subsumption_resolution,[],[f3523,f178]) ).
fof(f3523,plain,
! [X2,X0,X1] :
( aElementOf0(sK26(X0,X1,X2),X2)
| sP5(X0,X1,X2)
| ~ aSet0(X2)
| aElement0(sK26(X0,X1,X2))
| ~ aSet0(X1) ),
inference(resolution,[],[f210,f178]) ).
fof(f3531,plain,
! [X2,X0,X1] :
( aElementOf0(sK26(X0,X1,X2),X1)
| sP5(X0,X1,X2)
| ~ aSet0(X2)
| aElement0(sK26(X0,X1,X2)) ),
inference(duplicate_literal_removal,[],[f3516]) ).
fof(f3516,plain,
! [X2,X0,X1] :
( aElementOf0(sK26(X0,X1,X2),X1)
| sP5(X0,X1,X2)
| ~ aSet0(X2)
| aElement0(sK26(X0,X1,X2))
| ~ aSet0(X2) ),
inference(resolution,[],[f210,f178]) ).
fof(f210,plain,
! [X2,X0,X1] :
( aElementOf0(sK26(X0,X1,X2),X2)
| aElementOf0(sK26(X0,X1,X2),X1)
| sP5(X0,X1,X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f121]) ).
fof(f3515,plain,
! [X70,X71,X69] :
( sdtpldt0(sdtpldt0(X69,X70),sK23(X71)) = sdtpldt0(X69,sdtpldt0(X70,sK23(X71)))
| ~ aElement0(X70)
| ~ aElement0(X69)
| ~ aSet0(X71)
| aIdeal0(X71) ),
inference(resolution,[],[f231,f794]) ).
fof(f3498,plain,
! [X21,X24,X22,X23] :
( sdtpldt0(sdtpldt0(X21,X22),sdtasdt0(X23,X24)) = sdtpldt0(X21,sdtpldt0(X22,sdtasdt0(X23,X24)))
| ~ aElement0(X22)
| ~ aElement0(X21)
| ~ aElement0(X24)
| ~ aElement0(X23) ),
inference(resolution,[],[f231,f225]) ).
fof(f3497,plain,
! [X18,X19,X17,X20] :
( sdtpldt0(sdtpldt0(X17,X18),sdtpldt0(X19,X20)) = sdtpldt0(X17,sdtpldt0(X18,sdtpldt0(X19,X20)))
| ~ aElement0(X18)
| ~ aElement0(X17)
| ~ aElement0(X20)
| ~ aElement0(X19) ),
inference(resolution,[],[f231,f226]) ).
fof(f3491,plain,
! [X6,X4,X5] :
( sdtpldt0(sdtpldt0(X4,X5),smndt0(X6)) = sdtpldt0(X4,sdtpldt0(X5,smndt0(X6)))
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X6) ),
inference(resolution,[],[f231,f179]) ).
fof(f231,plain,
! [X2,X0,X1] :
( ~ aElement0(X2)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0,X1,X2] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f63]) ).
fof(f63,plain,
! [X0,X1,X2] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1,X2] :
( ( aElement0(X2)
& aElement0(X1)
& aElement0(X0) )
=> sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/tmp.KGcFcWB5TY/Vampire---4.8_3400',mAddAsso) ).
fof(f3488,plain,
! [X70,X71,X69] :
( sdtasdt0(sdtasdt0(X69,X70),sK23(X71)) = sdtasdt0(X69,sdtasdt0(X70,sK23(X71)))
| ~ aElement0(X70)
| ~ aElement0(X69)
| ~ aSet0(X71)
| aIdeal0(X71) ),
inference(resolution,[],[f230,f794]) ).
fof(f3471,plain,
! [X21,X24,X22,X23] :
( sdtasdt0(sdtasdt0(X21,X22),sdtasdt0(X23,X24)) = sdtasdt0(X21,sdtasdt0(X22,sdtasdt0(X23,X24)))
| ~ aElement0(X22)
| ~ aElement0(X21)
| ~ aElement0(X24)
| ~ aElement0(X23) ),
inference(resolution,[],[f230,f225]) ).
fof(f3470,plain,
! [X18,X19,X17,X20] :
( sdtasdt0(sdtasdt0(X17,X18),sdtpldt0(X19,X20)) = sdtasdt0(X17,sdtasdt0(X18,sdtpldt0(X19,X20)))
| ~ aElement0(X18)
| ~ aElement0(X17)
| ~ aElement0(X20)
| ~ aElement0(X19) ),
inference(resolution,[],[f230,f226]) ).
fof(f3464,plain,
! [X6,X4,X5] :
( sdtasdt0(sdtasdt0(X4,X5),smndt0(X6)) = sdtasdt0(X4,sdtasdt0(X5,smndt0(X6)))
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X6) ),
inference(resolution,[],[f230,f179]) ).
fof(f230,plain,
! [X2,X0,X1] :
( ~ aElement0(X2)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0,X1,X2] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f61]) ).
fof(f61,plain,
! [X0,X1,X2] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0,X1,X2] :
( ( aElement0(X2)
& aElement0(X1)
& aElement0(X0) )
=> sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/tmp.KGcFcWB5TY/Vampire---4.8_3400',mMulAsso) ).
fof(f203,plain,
! [X0,X1] :
( ~ aElementOf0(sK25(X0,X1),X1)
| ~ aElementOf0(sK24(X0,X1),X0)
| X0 = X1
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0,X1] :
( X0 = X1
| ( ~ aElementOf0(sK24(X0,X1),X0)
& aElementOf0(sK24(X0,X1),X1) )
| ( ~ aElementOf0(sK25(X0,X1),X1)
& aElementOf0(sK25(X0,X1),X0) )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK24,sK25])],[f46,f114,f113]) ).
fof(f113,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK24(X0,X1),X0)
& aElementOf0(sK24(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f114,plain,
! [X0,X1] :
( ? [X3] :
( ~ aElementOf0(X3,X1)
& aElementOf0(X3,X0) )
=> ( ~ aElementOf0(sK25(X0,X1),X1)
& aElementOf0(sK25(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f46,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ? [X3] :
( ~ aElementOf0(X3,X1)
& aElementOf0(X3,X0) )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f45]) ).
fof(f45,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ? [X3] :
( ~ aElementOf0(X3,X1)
& aElementOf0(X3,X0) )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1] :
( ( aSet0(X1)
& aSet0(X0) )
=> ( ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) )
& ! [X3] :
( aElementOf0(X3,X0)
=> aElementOf0(X3,X1) ) )
=> X0 = X1 ) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X0,X1] :
( ( aSet0(X1)
& aSet0(X0) )
=> ( ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) )
& ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(X2,X1) ) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/tmp/tmp.KGcFcWB5TY/Vampire---4.8_3400',mSetEq) ).
fof(f3400,plain,
! [X2,X1] :
( ~ aElementOf0(sK24(X1,X2),X1)
| X1 = X2
| ~ aSet0(X2)
| ~ aSet0(X1)
| aElement0(sK25(X1,X2)) ),
inference(duplicate_literal_removal,[],[f3393]) ).
fof(f3393,plain,
! [X2,X1] :
( ~ aElementOf0(sK24(X1,X2),X1)
| X1 = X2
| ~ aSet0(X2)
| ~ aSet0(X1)
| aElement0(sK25(X1,X2))
| ~ aSet0(X1) ),
inference(resolution,[],[f202,f178]) ).
fof(f202,plain,
! [X0,X1] :
( aElementOf0(sK25(X0,X1),X0)
| ~ aElementOf0(sK24(X0,X1),X0)
| X0 = X1
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f201,plain,
! [X0,X1] :
( ~ aElementOf0(sK25(X0,X1),X1)
| aElementOf0(sK24(X0,X1),X1)
| X0 = X1
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f3328,plain,
! [X0,X1] :
( aElementOf0(sK25(X0,X1),X0)
| X0 = X1
| ~ aSet0(X1)
| ~ aSet0(X0)
| aElement0(sK24(X0,X1)) ),
inference(duplicate_literal_removal,[],[f3321]) ).
fof(f3321,plain,
! [X0,X1] :
( aElementOf0(sK25(X0,X1),X0)
| X0 = X1
| ~ aSet0(X1)
| ~ aSet0(X0)
| aElement0(sK24(X0,X1))
| ~ aSet0(X1) ),
inference(resolution,[],[f200,f178]) ).
fof(f3329,plain,
! [X0,X1] :
( aElementOf0(sK24(X0,X1),X1)
| X0 = X1
| ~ aSet0(X1)
| ~ aSet0(X0)
| aElement0(sK25(X0,X1)) ),
inference(duplicate_literal_removal,[],[f3314]) ).
fof(f3314,plain,
! [X0,X1] :
( aElementOf0(sK24(X0,X1),X1)
| X0 = X1
| ~ aSet0(X1)
| ~ aSet0(X0)
| aElement0(sK25(X0,X1))
| ~ aSet0(X0) ),
inference(resolution,[],[f200,f178]) ).
fof(f200,plain,
! [X0,X1] :
( aElementOf0(sK25(X0,X1),X0)
| aElementOf0(sK24(X0,X1),X1)
| X0 = X1
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f195,plain,
! [X0,X1] :
( ~ aElementOf0(sdtasdt0(sK21(X0,X1),X1),X0)
| sP4(X0,X1)
| ~ aElementOf0(sdtpldt0(X1,sK22(X0,X1)),X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0,X1] :
( ( sP4(X0,X1)
| ( ~ aElementOf0(sdtasdt0(sK21(X0,X1),X1),X0)
& aElement0(sK21(X0,X1)) )
| ( ~ aElementOf0(sdtpldt0(X1,sK22(X0,X1)),X0)
& aElementOf0(sK22(X0,X1),X0) ) )
& ( ( ! [X4] :
( aElementOf0(sdtasdt0(X4,X1),X0)
| ~ aElement0(X4) )
& ! [X5] :
( aElementOf0(sdtpldt0(X1,X5),X0)
| ~ aElementOf0(X5,X0) ) )
| ~ sP4(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21,sK22])],[f104,f106,f105]) ).
fof(f105,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(sdtasdt0(X2,X1),X0)
& aElement0(X2) )
=> ( ~ aElementOf0(sdtasdt0(sK21(X0,X1),X1),X0)
& aElement0(sK21(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f106,plain,
! [X0,X1] :
( ? [X3] :
( ~ aElementOf0(sdtpldt0(X1,X3),X0)
& aElementOf0(X3,X0) )
=> ( ~ aElementOf0(sdtpldt0(X1,sK22(X0,X1)),X0)
& aElementOf0(sK22(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f104,plain,
! [X0,X1] :
( ( sP4(X0,X1)
| ? [X2] :
( ~ aElementOf0(sdtasdt0(X2,X1),X0)
& aElement0(X2) )
| ? [X3] :
( ~ aElementOf0(sdtpldt0(X1,X3),X0)
& aElementOf0(X3,X0) ) )
& ( ( ! [X4] :
( aElementOf0(sdtasdt0(X4,X1),X0)
| ~ aElement0(X4) )
& ! [X5] :
( aElementOf0(sdtpldt0(X1,X5),X0)
| ~ aElementOf0(X5,X0) ) )
| ~ sP4(X0,X1) ) ),
inference(rectify,[],[f103]) ).
fof(f103,plain,
! [X0,X1] :
( ( sP4(X0,X1)
| ? [X2] :
( ~ aElementOf0(sdtasdt0(X2,X1),X0)
& aElement0(X2) )
| ? [X3] :
( ~ aElementOf0(sdtpldt0(X1,X3),X0)
& aElementOf0(X3,X0) ) )
& ( ( ! [X2] :
( aElementOf0(sdtasdt0(X2,X1),X0)
| ~ aElement0(X2) )
& ! [X3] :
( aElementOf0(sdtpldt0(X1,X3),X0)
| ~ aElementOf0(X3,X0) ) )
| ~ sP4(X0,X1) ) ),
inference(flattening,[],[f102]) ).
fof(f102,plain,
! [X0,X1] :
( ( sP4(X0,X1)
| ? [X2] :
( ~ aElementOf0(sdtasdt0(X2,X1),X0)
& aElement0(X2) )
| ? [X3] :
( ~ aElementOf0(sdtpldt0(X1,X3),X0)
& aElementOf0(X3,X0) ) )
& ( ( ! [X2] :
( aElementOf0(sdtasdt0(X2,X1),X0)
| ~ aElement0(X2) )
& ! [X3] :
( aElementOf0(sdtpldt0(X1,X3),X0)
| ~ aElementOf0(X3,X0) ) )
| ~ sP4(X0,X1) ) ),
inference(nnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0,X1] :
( sP4(X0,X1)
<=> ( ! [X2] :
( aElementOf0(sdtasdt0(X2,X1),X0)
| ~ aElement0(X2) )
& ! [X3] :
( aElementOf0(sdtpldt0(X1,X3),X0)
| ~ aElementOf0(X3,X0) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f3237,plain,
! [X90,X91,X89,X94,X92,X93] :
( ~ aElement0(X89)
| sP3(sK27(X90,X91,sdtpldt1(xI,xJ)),X89,X92)
| sdtpldt0(X93,X94) != X92
| ~ aElementOf0(X94,xJ)
| ~ aElementOf0(X93,xI)
| aElementOf0(sK28(X90,X91,sdtpldt1(xI,xJ)),X91)
| sP7(X90,X91,sdtpldt1(xI,xJ)) ),
inference(resolution,[],[f154,f218]) ).
fof(f3236,plain,
! [X83,X88,X86,X87,X84,X85] :
( ~ aElement0(X83)
| sP3(sK27(X84,X85,sdtpldt1(xI,xJ)),X83,X86)
| sdtpldt0(X87,X88) != X86
| ~ aElementOf0(X88,xJ)
| ~ aElementOf0(X87,xI)
| aElementOf0(sK29(X84,X85,sdtpldt1(xI,xJ)),X84)
| sP7(X84,X85,sdtpldt1(xI,xJ)) ),
inference(resolution,[],[f154,f219]) ).
fof(f3235,plain,
! [X82,X80,X78,X81,X79,X77] :
( ~ aElement0(X77)
| sP3(sdtpldt0(X78,X79),X77,X80)
| sdtpldt0(X81,X82) != X80
| ~ aElementOf0(X82,xJ)
| ~ aElementOf0(X81,xI)
| ~ aElementOf0(X79,sdtpldt1(xI,xJ))
| ~ sP4(sdtpldt1(xI,xJ),X78) ),
inference(resolution,[],[f154,f190]) ).
fof(f3234,plain,
! [X72,X73,X71,X76,X74,X75] :
( ~ aElement0(X71)
| sP3(sdtasdt0(X72,X73),X71,X74)
| sdtpldt0(X75,X76) != X74
| ~ aElementOf0(X76,xJ)
| ~ aElementOf0(X75,xI)
| ~ aElement0(X72)
| ~ sP4(sdtpldt1(xI,xJ),X73) ),
inference(resolution,[],[f154,f191]) ).
fof(f3233,plain,
! [X65,X70,X68,X69,X66,X67] :
( ~ aElement0(X65)
| sP3(sK28(X66,sdtpldt1(xI,xJ),X67),X65,X68)
| sdtpldt0(X69,X70) != X68
| ~ aElementOf0(X70,xJ)
| ~ aElementOf0(X69,xI)
| aElementOf0(sK27(X66,sdtpldt1(xI,xJ),X67),X67)
| sP7(X66,sdtpldt1(xI,xJ),X67) ),
inference(resolution,[],[f154,f218]) ).
fof(f3232,plain,
! [X59,X62,X63,X60,X61,X64] :
( ~ aElement0(X59)
| sP3(sK29(sdtpldt1(xI,xJ),X60,X61),X59,X62)
| sdtpldt0(X63,X64) != X62
| ~ aElementOf0(X64,xJ)
| ~ aElementOf0(X63,xI)
| aElementOf0(sK27(sdtpldt1(xI,xJ),X60,X61),X61)
| sP7(sdtpldt1(xI,xJ),X60,X61) ),
inference(resolution,[],[f154,f219]) ).
fof(f3230,plain,
! [X50,X51,X54,X52,X53] :
( ~ aElement0(X50)
| sP3(sK22(sdtpldt1(xI,xJ),X51),X50,X52)
| sdtpldt0(X53,X54) != X52
| ~ aElementOf0(X54,xJ)
| ~ aElementOf0(X53,xI)
| aElement0(sK21(sdtpldt1(xI,xJ),X51))
| sP4(sdtpldt1(xI,xJ),X51) ),
inference(resolution,[],[f154,f192]) ).
fof(f154,plain,
! [X10,X8,X9,X14,X13] :
( ~ aElementOf0(X9,sdtpldt1(xI,xJ))
| ~ aElement0(X10)
| sP3(X9,X10,X8)
| sdtpldt0(X13,X14) != X8
| ~ aElementOf0(X14,xJ)
| ~ aElementOf0(X13,xI) ),
inference(cnf_transformation,[],[f101]) ).
fof(f3170,plain,
! [X90,X91,X89,X94,X92,X93] :
( ~ aElement0(X89)
| sdtpldt0(X90,X91) != X92
| ~ aElementOf0(X91,xJ)
| ~ aElementOf0(X90,xI)
| sP3(X92,X89,sK27(X93,X94,sdtpldt1(xI,xJ)))
| aElementOf0(sK28(X93,X94,sdtpldt1(xI,xJ)),X94)
| sP7(X93,X94,sdtpldt1(xI,xJ)) ),
inference(resolution,[],[f153,f218]) ).
fof(f3169,plain,
! [X83,X88,X86,X87,X84,X85] :
( ~ aElement0(X83)
| sdtpldt0(X84,X85) != X86
| ~ aElementOf0(X85,xJ)
| ~ aElementOf0(X84,xI)
| sP3(X86,X83,sK27(X87,X88,sdtpldt1(xI,xJ)))
| aElementOf0(sK29(X87,X88,sdtpldt1(xI,xJ)),X87)
| sP7(X87,X88,sdtpldt1(xI,xJ)) ),
inference(resolution,[],[f153,f219]) ).
fof(f3168,plain,
! [X82,X80,X78,X81,X79,X77] :
( ~ aElement0(X77)
| sdtpldt0(X78,X79) != X80
| ~ aElementOf0(X79,xJ)
| ~ aElementOf0(X78,xI)
| sP3(X80,X77,sdtpldt0(X81,X82))
| ~ aElementOf0(X82,sdtpldt1(xI,xJ))
| ~ sP4(sdtpldt1(xI,xJ),X81) ),
inference(resolution,[],[f153,f190]) ).
fof(f3167,plain,
! [X72,X73,X71,X76,X74,X75] :
( ~ aElement0(X71)
| sdtpldt0(X72,X73) != X74
| ~ aElementOf0(X73,xJ)
| ~ aElementOf0(X72,xI)
| sP3(X74,X71,sdtasdt0(X75,X76))
| ~ aElement0(X75)
| ~ sP4(sdtpldt1(xI,xJ),X76) ),
inference(resolution,[],[f153,f191]) ).
fof(f3166,plain,
! [X65,X70,X68,X69,X66,X67] :
( ~ aElement0(X65)
| sdtpldt0(X66,X67) != X68
| ~ aElementOf0(X67,xJ)
| ~ aElementOf0(X66,xI)
| sP3(X68,X65,sK28(X69,sdtpldt1(xI,xJ),X70))
| aElementOf0(sK27(X69,sdtpldt1(xI,xJ),X70),X70)
| sP7(X69,sdtpldt1(xI,xJ),X70) ),
inference(resolution,[],[f153,f218]) ).
fof(f3165,plain,
! [X59,X62,X63,X60,X61,X64] :
( ~ aElement0(X59)
| sdtpldt0(X60,X61) != X62
| ~ aElementOf0(X61,xJ)
| ~ aElementOf0(X60,xI)
| sP3(X62,X59,sK29(sdtpldt1(xI,xJ),X63,X64))
| aElementOf0(sK27(sdtpldt1(xI,xJ),X63,X64),X64)
| sP7(sdtpldt1(xI,xJ),X63,X64) ),
inference(resolution,[],[f153,f219]) ).
fof(f3163,plain,
! [X50,X51,X54,X52,X53] :
( ~ aElement0(X50)
| sdtpldt0(X51,X52) != X53
| ~ aElementOf0(X52,xJ)
| ~ aElementOf0(X51,xI)
| sP3(X53,X50,sK22(sdtpldt1(xI,xJ),X54))
| aElement0(sK21(sdtpldt1(xI,xJ),X54))
| sP4(sdtpldt1(xI,xJ),X54) ),
inference(resolution,[],[f153,f192]) ).
fof(f153,plain,
! [X10,X11,X8,X9,X12] :
( ~ aElementOf0(X8,sdtpldt1(xI,xJ))
| ~ aElement0(X10)
| sdtpldt0(X11,X12) != X9
| ~ aElementOf0(X12,xJ)
| ~ aElementOf0(X11,xI)
| sP3(X9,X10,X8) ),
inference(cnf_transformation,[],[f101]) ).
fof(f3087,plain,
! [X11,X12] :
( aElementOf0(sK29(X11,X12,sdtpldt1(xI,xJ)),X11)
| sP7(X11,X12,sdtpldt1(xI,xJ))
| aElementOf0(sK19(sK27(X11,X12,sdtpldt1(xI,xJ))),xI) ),
inference(resolution,[],[f219,f157]) ).
fof(f3086,plain,
! [X10,X9] :
( aElementOf0(sK29(X9,X10,sdtpldt1(xI,xJ)),X9)
| sP7(X9,X10,sdtpldt1(xI,xJ))
| aElementOf0(sK20(sK27(X9,X10,sdtpldt1(xI,xJ))),xJ) ),
inference(resolution,[],[f219,f158]) ).
fof(f3085,plain,
! [X8,X7] :
( aElementOf0(sK29(X7,X8,sdtpldt1(xI,xJ)),X7)
| sP7(X7,X8,sdtpldt1(xI,xJ))
| sK27(X7,X8,sdtpldt1(xI,xJ)) = sdtpldt0(sK19(sK27(X7,X8,sdtpldt1(xI,xJ))),sK20(sK27(X7,X8,sdtpldt1(xI,xJ)))) ),
inference(resolution,[],[f219,f159]) ).
fof(f3084,plain,
! [X3,X6,X4,X5] :
( aElementOf0(sK29(X3,X4,sdtpldt1(xI,xJ)),X3)
| sP7(X3,X4,sdtpldt1(xI,xJ))
| ~ aElement0(X5)
| sP3(sK27(X3,X4,sdtpldt1(xI,xJ)),X5,X6)
| ~ aElementOf0(X6,sdtpldt1(xI,xJ)) ),
inference(resolution,[],[f219,f155]) ).
fof(f3083,plain,
! [X2,X0,X1] :
( aElementOf0(sK29(X0,X1,X2),X0)
| sP7(X0,X1,X2)
| aElement0(sK27(X0,X1,X2))
| ~ aSet0(X2) ),
inference(resolution,[],[f219,f178]) ).
fof(f3082,plain,
! [X11,X12] :
( aElementOf0(sK27(sdtpldt1(xI,xJ),X11,X12),X12)
| sP7(sdtpldt1(xI,xJ),X11,X12)
| aElementOf0(sK19(sK29(sdtpldt1(xI,xJ),X11,X12)),xI) ),
inference(resolution,[],[f219,f157]) ).
fof(f3081,plain,
! [X10,X9] :
( aElementOf0(sK27(sdtpldt1(xI,xJ),X9,X10),X10)
| sP7(sdtpldt1(xI,xJ),X9,X10)
| aElementOf0(sK20(sK29(sdtpldt1(xI,xJ),X9,X10)),xJ) ),
inference(resolution,[],[f219,f158]) ).
fof(f3080,plain,
! [X8,X7] :
( aElementOf0(sK27(sdtpldt1(xI,xJ),X7,X8),X8)
| sP7(sdtpldt1(xI,xJ),X7,X8)
| sK29(sdtpldt1(xI,xJ),X7,X8) = sdtpldt0(sK19(sK29(sdtpldt1(xI,xJ),X7,X8)),sK20(sK29(sdtpldt1(xI,xJ),X7,X8))) ),
inference(resolution,[],[f219,f159]) ).
fof(f3079,plain,
! [X3,X6,X4,X5] :
( aElementOf0(sK27(sdtpldt1(xI,xJ),X3,X4),X4)
| sP7(sdtpldt1(xI,xJ),X3,X4)
| ~ aElement0(X5)
| sP3(sK29(sdtpldt1(xI,xJ),X3,X4),X5,X6)
| ~ aElementOf0(X6,sdtpldt1(xI,xJ)) ),
inference(resolution,[],[f219,f155]) ).
fof(f3078,plain,
! [X2,X0,X1] :
( aElementOf0(sK27(X0,X1,X2),X2)
| sP7(X0,X1,X2)
| aElement0(sK29(X0,X1,X2))
| ~ aSet0(X0) ),
inference(resolution,[],[f219,f178]) ).
fof(f219,plain,
! [X2,X0,X1] :
( aElementOf0(sK29(X0,X1,X2),X0)
| aElementOf0(sK27(X0,X1,X2),X2)
| sP7(X0,X1,X2) ),
inference(cnf_transformation,[],[f127]) ).
fof(f3051,plain,
! [X11,X12] :
( aElementOf0(sK28(X11,X12,sdtpldt1(xI,xJ)),X12)
| sP7(X11,X12,sdtpldt1(xI,xJ))
| aElementOf0(sK19(sK27(X11,X12,sdtpldt1(xI,xJ))),xI) ),
inference(resolution,[],[f218,f157]) ).
fof(f3050,plain,
! [X10,X9] :
( aElementOf0(sK28(X9,X10,sdtpldt1(xI,xJ)),X10)
| sP7(X9,X10,sdtpldt1(xI,xJ))
| aElementOf0(sK20(sK27(X9,X10,sdtpldt1(xI,xJ))),xJ) ),
inference(resolution,[],[f218,f158]) ).
fof(f3049,plain,
! [X8,X7] :
( aElementOf0(sK28(X7,X8,sdtpldt1(xI,xJ)),X8)
| sP7(X7,X8,sdtpldt1(xI,xJ))
| sK27(X7,X8,sdtpldt1(xI,xJ)) = sdtpldt0(sK19(sK27(X7,X8,sdtpldt1(xI,xJ))),sK20(sK27(X7,X8,sdtpldt1(xI,xJ)))) ),
inference(resolution,[],[f218,f159]) ).
fof(f3048,plain,
! [X3,X6,X4,X5] :
( aElementOf0(sK28(X3,X4,sdtpldt1(xI,xJ)),X4)
| sP7(X3,X4,sdtpldt1(xI,xJ))
| ~ aElement0(X5)
| sP3(sK27(X3,X4,sdtpldt1(xI,xJ)),X5,X6)
| ~ aElementOf0(X6,sdtpldt1(xI,xJ)) ),
inference(resolution,[],[f218,f155]) ).
fof(f3047,plain,
! [X2,X0,X1] :
( aElementOf0(sK28(X0,X1,X2),X1)
| sP7(X0,X1,X2)
| aElement0(sK27(X0,X1,X2))
| ~ aSet0(X2) ),
inference(resolution,[],[f218,f178]) ).
fof(f3046,plain,
! [X11,X12] :
( aElementOf0(sK27(X11,sdtpldt1(xI,xJ),X12),X12)
| sP7(X11,sdtpldt1(xI,xJ),X12)
| aElementOf0(sK19(sK28(X11,sdtpldt1(xI,xJ),X12)),xI) ),
inference(resolution,[],[f218,f157]) ).
fof(f3045,plain,
! [X10,X9] :
( aElementOf0(sK27(X9,sdtpldt1(xI,xJ),X10),X10)
| sP7(X9,sdtpldt1(xI,xJ),X10)
| aElementOf0(sK20(sK28(X9,sdtpldt1(xI,xJ),X10)),xJ) ),
inference(resolution,[],[f218,f158]) ).
fof(f3044,plain,
! [X8,X7] :
( aElementOf0(sK27(X7,sdtpldt1(xI,xJ),X8),X8)
| sP7(X7,sdtpldt1(xI,xJ),X8)
| sK28(X7,sdtpldt1(xI,xJ),X8) = sdtpldt0(sK19(sK28(X7,sdtpldt1(xI,xJ),X8)),sK20(sK28(X7,sdtpldt1(xI,xJ),X8))) ),
inference(resolution,[],[f218,f159]) ).
fof(f3043,plain,
! [X3,X6,X4,X5] :
( aElementOf0(sK27(X3,sdtpldt1(xI,xJ),X4),X4)
| sP7(X3,sdtpldt1(xI,xJ),X4)
| ~ aElement0(X5)
| sP3(sK28(X3,sdtpldt1(xI,xJ),X4),X5,X6)
| ~ aElementOf0(X6,sdtpldt1(xI,xJ)) ),
inference(resolution,[],[f218,f155]) ).
fof(f3042,plain,
! [X2,X0,X1] :
( aElementOf0(sK27(X0,X1,X2),X2)
| sP7(X0,X1,X2)
| aElement0(sK28(X0,X1,X2))
| ~ aSet0(X1) ),
inference(resolution,[],[f218,f178]) ).
fof(f218,plain,
! [X2,X0,X1] :
( aElementOf0(sK28(X0,X1,X2),X1)
| aElementOf0(sK27(X0,X1,X2),X2)
| sP7(X0,X1,X2) ),
inference(cnf_transformation,[],[f127]) ).
fof(f138,plain,
! [X2,X3,X0,X1,X4] :
( aElementOf0(sdtpldt0(X3,sK11(X0,X1,X2,X3,X4)),xJ)
| ~ sP2(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f86]) ).
fof(f137,plain,
! [X2,X3,X0,X1,X4] :
( aElementOf0(sdtpldt0(X4,sK10(X0,X1,X2,X3,X4)),xI)
| ~ sP2(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f86]) ).
fof(f133,plain,
! [X2,X0,X1] :
( sP2(X2,X1,X0,sK9(X0,X1,X2),sK8(X0,X1,X2))
| ~ sP3(X0,X1,X2) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0,X1,X2] :
( ( sP2(X2,X1,X0,sK9(X0,X1,X2),sK8(X0,X1,X2))
& sdtpldt0(sK8(X0,X1,X2),sK9(X0,X1,X2)) = X2
& aElementOf0(sK9(X0,X1,X2),xJ)
& aElementOf0(sK8(X0,X1,X2),xI) )
| ~ sP3(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9])],[f80,f81]) ).
fof(f81,plain,
! [X0,X1,X2] :
( ? [X3,X4] :
( sP2(X2,X1,X0,X4,X3)
& sdtpldt0(X3,X4) = X2
& aElementOf0(X4,xJ)
& aElementOf0(X3,xI) )
=> ( sP2(X2,X1,X0,sK9(X0,X1,X2),sK8(X0,X1,X2))
& sdtpldt0(sK8(X0,X1,X2),sK9(X0,X1,X2)) = X2
& aElementOf0(sK9(X0,X1,X2),xJ)
& aElementOf0(sK8(X0,X1,X2),xI) ) ),
introduced(choice_axiom,[]) ).
fof(f80,plain,
! [X0,X1,X2] :
( ? [X3,X4] :
( sP2(X2,X1,X0,X4,X3)
& sdtpldt0(X3,X4) = X2
& aElementOf0(X4,xJ)
& aElementOf0(X3,xI) )
| ~ sP3(X0,X1,X2) ),
inference(rectify,[],[f79]) ).
fof(f79,plain,
! [X1,X2,X0] :
( ? [X7,X8] :
( sP2(X0,X2,X1,X8,X7)
& sdtpldt0(X7,X8) = X0
& aElementOf0(X8,xJ)
& aElementOf0(X7,xI) )
| ~ sP3(X1,X2,X0) ),
inference(nnf_transformation,[],[f70]) ).
fof(f229,plain,
! [X0,X1] :
( sz00 != sdtasdt0(X0,X1)
| sz00 = X0
| sz00 = X1
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0,X1] :
( sz00 = X1
| sz00 = X0
| sz00 != sdtasdt0(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f59]) ).
fof(f59,plain,
! [X0,X1] :
( sz00 = X1
| sz00 = X0
| sz00 != sdtasdt0(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> ( sz00 = sdtasdt0(X0,X1)
=> ( sz00 = X1
| sz00 = X0 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.KGcFcWB5TY/Vampire---4.8_3400',mCancel) ).
fof(f224,plain,
! [X2,X0,X1] :
( ~ sP7(X1,X0,X2)
| sdtpldt1(X0,X1) = X2
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtpldt1(X0,X1) = X2
| ~ sP7(X1,X0,X2)
| ~ aSet0(X2) )
& ( ( sP7(X1,X0,X2)
& aSet0(X2) )
| sdtpldt1(X0,X1) != X2 ) )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f128]) ).
fof(f128,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtpldt1(X0,X1) = X2
| ~ sP7(X1,X0,X2)
| ~ aSet0(X2) )
& ( ( sP7(X1,X0,X2)
& aSet0(X2) )
| sdtpldt1(X0,X1) != X2 ) )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0,X1] :
( ! [X2] :
( sdtpldt1(X0,X1) = X2
<=> ( sP7(X1,X0,X2)
& aSet0(X2) ) )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(definition_folding,[],[f50,f77]) ).
fof(f50,plain,
! [X0,X1] :
( ! [X2] :
( sdtpldt1(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4,X5] :
( sdtpldt0(X4,X5) = X3
& aElementOf0(X5,X1)
& aElementOf0(X4,X0) ) )
& aSet0(X2) ) )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f49]) ).
fof(f49,plain,
! [X0,X1] :
( ! [X2] :
( sdtpldt1(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4,X5] :
( sdtpldt0(X4,X5) = X3
& aElementOf0(X5,X1)
& aElementOf0(X4,X0) ) )
& aSet0(X2) ) )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0,X1] :
( ( aSet0(X1)
& aSet0(X0) )
=> ! [X2] :
( sdtpldt1(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4,X5] :
( sdtpldt0(X4,X5) = X3
& aElementOf0(X5,X1)
& aElementOf0(X4,X0) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.KGcFcWB5TY/Vampire---4.8_3400',mDefSSum) ).
fof(f194,plain,
! [X0,X1] :
( ~ aElementOf0(sdtasdt0(sK21(X0,X1),X1),X0)
| sP4(X0,X1)
| aElementOf0(sK22(X0,X1),X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f132,plain,
! [X2,X0,X1] :
( ~ sP3(X0,X1,X2)
| sdtpldt0(sK8(X0,X1,X2),sK9(X0,X1,X2)) = X2 ),
inference(cnf_transformation,[],[f82]) ).
fof(f193,plain,
! [X0,X1] :
( ~ aElementOf0(sdtpldt0(X1,sK22(X0,X1)),X0)
| aElement0(sK21(X0,X1))
| sP4(X0,X1) ),
inference(cnf_transformation,[],[f107]) ).
fof(f151,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| sdtpldt0(X1,X0) = sdtpldt0(sK14(X0,X1),sK15(X0,X1)) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0,X1] :
( ( sdtpldt0(X1,X0) = sdtpldt0(sK14(X0,X1),sK15(X0,X1))
& aElementOf0(sK15(X0,X1),xJ)
& aElementOf0(sK14(X0,X1),xI) )
| ~ sP0(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15])],[f92,f93]) ).
fof(f93,plain,
! [X0,X1] :
( ? [X2,X3] :
( sdtpldt0(X1,X0) = sdtpldt0(X2,X3)
& aElementOf0(X3,xJ)
& aElementOf0(X2,xI) )
=> ( sdtpldt0(X1,X0) = sdtpldt0(sK14(X0,X1),sK15(X0,X1))
& aElementOf0(sK15(X0,X1),xJ)
& aElementOf0(sK14(X0,X1),xI) ) ),
introduced(choice_axiom,[]) ).
fof(f92,plain,
! [X0,X1] :
( ? [X2,X3] :
( sdtpldt0(X1,X0) = sdtpldt0(X2,X3)
& aElementOf0(X3,xJ)
& aElementOf0(X2,xI) )
| ~ sP0(X0,X1) ),
inference(rectify,[],[f91]) ).
fof(f91,plain,
! [X1,X0] :
( ? [X13,X14] :
( sdtpldt0(X0,X1) = sdtpldt0(X13,X14)
& aElementOf0(X14,xJ)
& aElementOf0(X13,xI) )
| ~ sP0(X1,X0) ),
inference(nnf_transformation,[],[f67]) ).
fof(f148,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| sdtasdt0(X1,X0) = sdtpldt0(sK12(X0,X1),sK13(X0,X1)) ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0,X1] :
( ( sdtasdt0(X1,X0) = sdtpldt0(sK12(X0,X1),sK13(X0,X1))
& aElementOf0(sK13(X0,X1),xJ)
& aElementOf0(sK12(X0,X1),xI) )
| ~ sP1(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13])],[f88,f89]) ).
fof(f89,plain,
! [X0,X1] :
( ? [X2,X3] :
( sdtasdt0(X1,X0) = sdtpldt0(X2,X3)
& aElementOf0(X3,xJ)
& aElementOf0(X2,xI) )
=> ( sdtasdt0(X1,X0) = sdtpldt0(sK12(X0,X1),sK13(X0,X1))
& aElementOf0(sK13(X0,X1),xJ)
& aElementOf0(sK12(X0,X1),xI) ) ),
introduced(choice_axiom,[]) ).
fof(f88,plain,
! [X0,X1] :
( ? [X2,X3] :
( sdtasdt0(X1,X0) = sdtpldt0(X2,X3)
& aElementOf0(X3,xJ)
& aElementOf0(X2,xI) )
| ~ sP1(X0,X1) ),
inference(rectify,[],[f87]) ).
fof(f87,plain,
! [X0,X2] :
( ? [X11,X12] :
( sdtasdt0(X2,X0) = sdtpldt0(X11,X12)
& aElementOf0(X12,xJ)
& aElementOf0(X11,xI) )
| ~ sP1(X0,X2) ),
inference(nnf_transformation,[],[f68]) ).
fof(f135,plain,
! [X2,X3,X0,X1,X4] :
( aElementOf0(sK11(X0,X1,X2,X3,X4),xJ)
| ~ sP2(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f86]) ).
fof(f134,plain,
! [X2,X3,X0,X1,X4] :
( aElementOf0(sK10(X0,X1,X2,X3,X4),xI)
| ~ sP2(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f86]) ).
fof(f223,plain,
! [X2,X0,X1] :
( sdtpldt1(X0,X1) != X2
| sP7(X1,X0,X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f215,plain,
! [X2,X0,X1,X8] :
( ~ sP7(X0,X1,X2)
| ~ aElementOf0(X8,X2)
| aElementOf0(sK31(X0,X1,X8),X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f214,plain,
! [X2,X0,X1,X8] :
( ~ sP7(X0,X1,X2)
| ~ aElementOf0(X8,X2)
| aElementOf0(sK30(X0,X1,X8),X1) ),
inference(cnf_transformation,[],[f127]) ).
fof(f209,plain,
! [X2,X0,X1,X4] :
( ~ sP5(X0,X1,X2)
| ~ aElementOf0(X4,X0)
| ~ aElementOf0(X4,X1)
| aElementOf0(X4,X2) ),
inference(cnf_transformation,[],[f121]) ).
fof(f145,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP2(X0,X1,X2,X3,X4)
| aElementOf0(sdtasdt0(X1,X0),sdtpldt1(xI,xJ)) ),
inference(cnf_transformation,[],[f86]) ).
fof(f143,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP2(X0,X1,X2,X3,X4)
| aElementOf0(sdtpldt0(X0,X2),sdtpldt1(xI,xJ)) ),
inference(cnf_transformation,[],[f86]) ).
fof(f160,plain,
! [X3,X4,X5] :
( sdtpldt0(X4,X5) != X3
| aElementOf0(X3,sdtpldt1(xI,xJ))
| ~ aElementOf0(X5,xJ)
| ~ aElementOf0(X4,xI) ),
inference(cnf_transformation,[],[f101]) ).
fof(f2274,plain,
! [X28,X26,X27,X25] :
( ~ aElement0(X25)
| sP3(sdtpldt0(X26,X27),X25,X28)
| ~ aElementOf0(X28,sdtpldt1(xI,xJ))
| ~ aElementOf0(X27,sdtpldt1(xI,xJ))
| ~ sP4(sdtpldt1(xI,xJ),X26) ),
inference(resolution,[],[f155,f190]) ).
fof(f2273,plain,
! [X21,X24,X22,X23] :
( ~ aElement0(X21)
| sP3(sdtasdt0(X22,X23),X21,X24)
| ~ aElementOf0(X24,sdtpldt1(xI,xJ))
| ~ aElement0(X22)
| ~ sP4(sdtpldt1(xI,xJ),X23) ),
inference(resolution,[],[f155,f191]) ).
fof(f2271,plain,
! [X18,X16,X17] :
( ~ aElement0(X16)
| sP3(sK22(sdtpldt1(xI,xJ),X17),X16,X18)
| ~ aElementOf0(X18,sdtpldt1(xI,xJ))
| aElement0(sK21(sdtpldt1(xI,xJ),X17))
| sP4(sdtpldt1(xI,xJ),X17) ),
inference(resolution,[],[f155,f192]) ).
fof(f155,plain,
! [X10,X8,X9] :
( ~ aElementOf0(X9,sdtpldt1(xI,xJ))
| ~ aElement0(X10)
| sP3(X9,X10,X8)
| ~ aElementOf0(X8,sdtpldt1(xI,xJ)) ),
inference(cnf_transformation,[],[f101]) ).
fof(f205,plain,
! [X2,X0,X1] :
( ~ sP5(X1,X0,X2)
| sdtasasdt0(X0,X1) = X2
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtasasdt0(X0,X1) = X2
| ~ sP5(X1,X0,X2) )
& ( sP5(X1,X0,X2)
| sdtasasdt0(X0,X1) != X2 ) )
| ~ sP6(X0,X1) ),
inference(nnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0,X1] :
( ! [X2] :
( sdtasasdt0(X0,X1) = X2
<=> sP5(X1,X0,X2) )
| ~ sP6(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f204,plain,
! [X2,X0,X1] :
( sdtasasdt0(X0,X1) != X2
| sP5(X1,X0,X2)
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f116]) ).
fof(f2173,plain,
! [X4] :
( aElement0(sK21(sdtpldt1(xI,xJ),X4))
| sP4(sdtpldt1(xI,xJ),X4)
| aElementOf0(sK19(sK22(sdtpldt1(xI,xJ),X4)),xI) ),
inference(resolution,[],[f192,f157]) ).
fof(f2172,plain,
! [X3] :
( aElement0(sK21(sdtpldt1(xI,xJ),X3))
| sP4(sdtpldt1(xI,xJ),X3)
| aElementOf0(sK20(sK22(sdtpldt1(xI,xJ),X3)),xJ) ),
inference(resolution,[],[f192,f158]) ).
fof(f2171,plain,
! [X2] :
( aElement0(sK21(sdtpldt1(xI,xJ),X2))
| sP4(sdtpldt1(xI,xJ),X2)
| sK22(sdtpldt1(xI,xJ),X2) = sdtpldt0(sK19(sK22(sdtpldt1(xI,xJ),X2)),sK20(sK22(sdtpldt1(xI,xJ),X2))) ),
inference(resolution,[],[f192,f159]) ).
fof(f2170,plain,
! [X0,X1] :
( aElement0(sK21(X0,X1))
| sP4(X0,X1)
| aElement0(sK22(X0,X1))
| ~ aSet0(X0) ),
inference(resolution,[],[f192,f178]) ).
fof(f192,plain,
! [X0,X1] :
( aElementOf0(sK22(X0,X1),X0)
| aElement0(sK21(X0,X1))
| sP4(X0,X1) ),
inference(cnf_transformation,[],[f107]) ).
fof(f2146,plain,
! [X32,X33] :
( sdtpldt0(X32,sK23(X33)) = sdtpldt0(sK23(X33),X32)
| ~ aElement0(X32)
| ~ aSet0(X33)
| aIdeal0(X33) ),
inference(resolution,[],[f228,f794]) ).
fof(f2134,plain,
! [X10,X11,X12] :
( sdtpldt0(X10,sdtasdt0(X11,X12)) = sdtpldt0(sdtasdt0(X11,X12),X10)
| ~ aElement0(X10)
| ~ aElement0(X12)
| ~ aElement0(X11) ),
inference(resolution,[],[f228,f225]) ).
fof(f2133,plain,
! [X8,X9,X7] :
( sdtpldt0(X7,sdtpldt0(X8,X9)) = sdtpldt0(sdtpldt0(X8,X9),X7)
| ~ aElement0(X7)
| ~ aElement0(X9)
| ~ aElement0(X8) ),
inference(resolution,[],[f228,f226]) ).
fof(f2129,plain,
! [X2,X3] :
( sdtpldt0(X2,smndt0(X3)) = sdtpldt0(smndt0(X3),X2)
| ~ aElement0(X2)
| ~ aElement0(X3) ),
inference(resolution,[],[f228,f179]) ).
fof(f228,plain,
! [X0,X1] :
( ~ aElement0(X1)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f57]) ).
fof(f57,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.KGcFcWB5TY/Vampire---4.8_3400',mAddComm) ).
fof(f1989,plain,
! [X32,X33] :
( sdtasdt0(X32,sK23(X33)) = sdtasdt0(sK23(X33),X32)
| ~ aElement0(X32)
| ~ aSet0(X33)
| aIdeal0(X33) ),
inference(resolution,[],[f227,f794]) ).
fof(f1976,plain,
! [X10,X11,X9] :
( sdtasdt0(X9,sdtasdt0(X10,X11)) = sdtasdt0(sdtasdt0(X10,X11),X9)
| ~ aElement0(X9)
| ~ aElement0(X11)
| ~ aElement0(X10) ),
inference(resolution,[],[f227,f225]) ).
fof(f1975,plain,
! [X8,X6,X7] :
( sdtasdt0(X6,sdtpldt0(X7,X8)) = sdtasdt0(sdtpldt0(X7,X8),X6)
| ~ aElement0(X6)
| ~ aElement0(X8)
| ~ aElement0(X7) ),
inference(resolution,[],[f227,f226]) ).
fof(f1972,plain,
! [X2,X3] :
( sdtasdt0(X2,smndt0(X3)) = sdtasdt0(smndt0(X3),X2)
| ~ aElement0(X2)
| ~ aElement0(X3) ),
inference(resolution,[],[f227,f179]) ).
fof(f227,plain,
! [X0,X1] :
( ~ aElement0(X1)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f55]) ).
fof(f55,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.KGcFcWB5TY/Vampire---4.8_3400',mMulComm) ).
fof(f222,plain,
! [X2,X0,X1] :
( sdtpldt1(X0,X1) != X2
| aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f1927,plain,
! [X3,X4] :
( ~ aElementOf0(X3,sdtpldt1(xI,xJ))
| ~ sP4(sdtpldt1(xI,xJ),X4)
| sdtpldt0(X4,X3) = sdtpldt0(sK19(sdtpldt0(X4,X3)),sK20(sdtpldt0(X4,X3))) ),
inference(resolution,[],[f190,f159]) ).
fof(f190,plain,
! [X0,X1,X5] :
( aElementOf0(sdtpldt0(X1,X5),X0)
| ~ aElementOf0(X5,X0)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f107]) ).
fof(f140,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP2(X0,X1,X2,X3,X4)
| aElementOf0(sdtasdt0(X1,X3),xJ) ),
inference(cnf_transformation,[],[f86]) ).
fof(f139,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP2(X0,X1,X2,X3,X4)
| aElementOf0(sdtasdt0(X1,X4),xI) ),
inference(cnf_transformation,[],[f86]) ).
fof(f172,plain,
! [X2,X0] :
( aElementOf0(sdtpldt0(X0,X2),xJ)
| ~ aElementOf0(X2,xJ)
| ~ aElementOf0(X0,xJ) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
( aIdeal0(xJ)
& ! [X0] :
( ( ! [X1] :
( aElementOf0(sdtasdt0(X1,X0),xJ)
| ~ aElement0(X1) )
& ! [X2] :
( aElementOf0(sdtpldt0(X0,X2),xJ)
| ~ aElementOf0(X2,xJ) ) )
| ~ aElementOf0(X0,xJ) )
& aSet0(xJ)
& aIdeal0(xI)
& ! [X3] :
( ( ! [X4] :
( aElementOf0(sdtasdt0(X4,X3),xI)
| ~ aElement0(X4) )
& ! [X5] :
( aElementOf0(sdtpldt0(X3,X5),xI)
| ~ aElementOf0(X5,xI) ) )
| ~ aElementOf0(X3,xI) )
& aSet0(xI) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,plain,
( aIdeal0(xJ)
& ! [X0] :
( aElementOf0(X0,xJ)
=> ( ! [X1] :
( aElement0(X1)
=> aElementOf0(sdtasdt0(X1,X0),xJ) )
& ! [X2] :
( aElementOf0(X2,xJ)
=> aElementOf0(sdtpldt0(X0,X2),xJ) ) ) )
& aSet0(xJ)
& aIdeal0(xI)
& ! [X3] :
( aElementOf0(X3,xI)
=> ( ! [X4] :
( aElement0(X4)
=> aElementOf0(sdtasdt0(X4,X3),xI) )
& ! [X5] :
( aElementOf0(X5,xI)
=> aElementOf0(sdtpldt0(X3,X5),xI) ) ) )
& aSet0(xI) ),
inference(rectify,[],[f25]) ).
fof(f25,axiom,
( aIdeal0(xJ)
& ! [X0] :
( aElementOf0(X0,xJ)
=> ( ! [X1] :
( aElement0(X1)
=> aElementOf0(sdtasdt0(X1,X0),xJ) )
& ! [X1] :
( aElementOf0(X1,xJ)
=> aElementOf0(sdtpldt0(X0,X1),xJ) ) ) )
& aSet0(xJ)
& aIdeal0(xI)
& ! [X0] :
( aElementOf0(X0,xI)
=> ( ! [X1] :
( aElement0(X1)
=> aElementOf0(sdtasdt0(X1,X0),xI) )
& ! [X1] :
( aElementOf0(X1,xI)
=> aElementOf0(sdtpldt0(X0,X1),xI) ) ) )
& aSet0(xI) ),
file('/export/starexec/sandbox2/tmp/tmp.KGcFcWB5TY/Vampire---4.8_3400',m__870) ).
fof(f168,plain,
! [X3,X5] :
( aElementOf0(sdtpldt0(X3,X5),xI)
| ~ aElementOf0(X5,xI)
| ~ aElementOf0(X3,xI) ),
inference(cnf_transformation,[],[f36]) ).
fof(f208,plain,
! [X2,X0,X1,X4] :
( ~ sP5(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| aElementOf0(X4,X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f207,plain,
! [X2,X0,X1,X4] :
( ~ sP5(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| aElementOf0(X4,X1) ),
inference(cnf_transformation,[],[f121]) ).
fof(f1544,plain,
! [X3,X4] :
( ~ aElement0(X3)
| ~ sP4(sdtpldt1(xI,xJ),X4)
| sdtasdt0(X3,X4) = sdtpldt0(sK19(sdtasdt0(X3,X4)),sK20(sdtasdt0(X3,X4))) ),
inference(resolution,[],[f191,f159]) ).
fof(f191,plain,
! [X0,X1,X4] :
( aElementOf0(sdtasdt0(X4,X1),X0)
| ~ aElement0(X4)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f107]) ).
fof(f131,plain,
! [X2,X0,X1] :
( aElementOf0(sK9(X0,X1,X2),xJ)
| ~ sP3(X0,X1,X2) ),
inference(cnf_transformation,[],[f82]) ).
fof(f130,plain,
! [X2,X0,X1] :
( aElementOf0(sK8(X0,X1,X2),xI)
| ~ sP3(X0,X1,X2) ),
inference(cnf_transformation,[],[f82]) ).
fof(f173,plain,
! [X0,X1] :
( aElementOf0(sdtasdt0(X1,X0),xJ)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xJ) ),
inference(cnf_transformation,[],[f36]) ).
fof(f169,plain,
! [X3,X4] :
( aElementOf0(sdtasdt0(X4,X3),xI)
| ~ aElement0(X4)
| ~ aElementOf0(X3,xI) ),
inference(cnf_transformation,[],[f36]) ).
fof(f159,plain,
! [X3] :
( ~ aElementOf0(X3,sdtpldt1(xI,xJ))
| sdtpldt0(sK19(X3),sK20(X3)) = X3 ),
inference(cnf_transformation,[],[f101]) ).
fof(f1186,plain,
! [X13] :
( smndt0(sK23(X13)) = sdtasdt0(sK23(X13),smndt0(sz10))
| ~ aSet0(X13)
| aIdeal0(X13) ),
inference(resolution,[],[f189,f794]) ).
fof(f1173,plain,
! [X3,X4] :
( smndt0(sdtasdt0(X3,X4)) = sdtasdt0(sdtasdt0(X3,X4),smndt0(sz10))
| ~ aElement0(X4)
| ~ aElement0(X3) ),
inference(resolution,[],[f189,f225]) ).
fof(f1172,plain,
! [X2,X1] :
( smndt0(sdtpldt0(X1,X2)) = sdtasdt0(sdtpldt0(X1,X2),smndt0(sz10))
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(resolution,[],[f189,f226]) ).
fof(f189,plain,
! [X0] :
( ~ aElement0(X0)
| smndt0(X0) = sdtasdt0(X0,smndt0(sz10)) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0] :
( ( smndt0(X0) = sdtasdt0(X0,smndt0(sz10))
& smndt0(X0) = sdtasdt0(smndt0(sz10),X0) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( aElement0(X0)
=> ( smndt0(X0) = sdtasdt0(X0,smndt0(sz10))
& smndt0(X0) = sdtasdt0(smndt0(sz10),X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.KGcFcWB5TY/Vampire---4.8_3400',mMulMnOne) ).
fof(f1107,plain,
! [X13] :
( smndt0(sK23(X13)) = sdtasdt0(smndt0(sz10),sK23(X13))
| ~ aSet0(X13)
| aIdeal0(X13) ),
inference(resolution,[],[f188,f794]) ).
fof(f1094,plain,
! [X3,X4] :
( smndt0(sdtasdt0(X3,X4)) = sdtasdt0(smndt0(sz10),sdtasdt0(X3,X4))
| ~ aElement0(X4)
| ~ aElement0(X3) ),
inference(resolution,[],[f188,f225]) ).
fof(f1093,plain,
! [X2,X1] :
( smndt0(sdtpldt0(X1,X2)) = sdtasdt0(smndt0(sz10),sdtpldt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(resolution,[],[f188,f226]) ).
fof(f188,plain,
! [X0] :
( ~ aElement0(X0)
| smndt0(X0) = sdtasdt0(smndt0(sz10),X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f1042,plain,
! [X13] :
( sz00 = sdtasdt0(smndt0(sK23(X13)),sz00)
| ~ aSet0(X13)
| aIdeal0(X13) ),
inference(resolution,[],[f369,f794]) ).
fof(f1031,plain,
! [X3,X4] :
( sz00 = sdtasdt0(smndt0(sdtasdt0(X3,X4)),sz00)
| ~ aElement0(X4)
| ~ aElement0(X3) ),
inference(resolution,[],[f369,f225]) ).
fof(f1030,plain,
! [X2,X1] :
( sz00 = sdtasdt0(smndt0(sdtpldt0(X1,X2)),sz00)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(resolution,[],[f369,f226]) ).
fof(f1029,plain,
! [X0] :
( sz00 = sdtasdt0(smndt0(smndt0(X0)),sz00)
| ~ aElement0(X0) ),
inference(resolution,[],[f369,f179]) ).
fof(f369,plain,
! [X0] :
( ~ aElement0(X0)
| sz00 = sdtasdt0(smndt0(X0),sz00) ),
inference(resolution,[],[f180,f179]) ).
fof(f144,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP2(X0,X1,X2,X3,X4)
| sP1(X0,X1) ),
inference(cnf_transformation,[],[f86]) ).
fof(f1026,plain,
! [X7] :
( ~ aSet0(X7)
| aIdeal0(X7)
| sz00 = sdtpldt0(smndt0(sK23(X7)),sK23(X7)) ),
inference(resolution,[],[f794,f187]) ).
fof(f1025,plain,
! [X6] :
( ~ aSet0(X6)
| aIdeal0(X6)
| sz00 = sdtpldt0(sK23(X6),smndt0(sK23(X6))) ),
inference(resolution,[],[f794,f186]) ).
fof(f1024,plain,
! [X5] :
( ~ aSet0(X5)
| aIdeal0(X5)
| sK23(X5) = sdtpldt0(sz00,sK23(X5)) ),
inference(resolution,[],[f794,f185]) ).
fof(f1023,plain,
! [X4] :
( ~ aSet0(X4)
| aIdeal0(X4)
| sK23(X4) = sdtpldt0(sK23(X4),sz00) ),
inference(resolution,[],[f794,f184]) ).
fof(f1022,plain,
! [X3] :
( ~ aSet0(X3)
| aIdeal0(X3)
| sK23(X3) = sdtasdt0(sz10,sK23(X3)) ),
inference(resolution,[],[f794,f183]) ).
fof(f1021,plain,
! [X2] :
( ~ aSet0(X2)
| aIdeal0(X2)
| sK23(X2) = sdtasdt0(sK23(X2),sz10) ),
inference(resolution,[],[f794,f182]) ).
fof(f1020,plain,
! [X1] :
( ~ aSet0(X1)
| aIdeal0(X1)
| sz00 = sdtasdt0(sz00,sK23(X1)) ),
inference(resolution,[],[f794,f181]) ).
fof(f1019,plain,
! [X0] :
( ~ aSet0(X0)
| aIdeal0(X0)
| sz00 = sdtasdt0(sK23(X0),sz00) ),
inference(resolution,[],[f794,f180]) ).
fof(f794,plain,
! [X0] :
( aElement0(sK23(X0))
| ~ aSet0(X0)
| aIdeal0(X0) ),
inference(duplicate_literal_removal,[],[f791]) ).
fof(f791,plain,
! [X0] :
( aIdeal0(X0)
| ~ aSet0(X0)
| aElement0(sK23(X0))
| ~ aSet0(X0) ),
inference(resolution,[],[f198,f178]) ).
fof(f142,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP2(X0,X1,X2,X3,X4)
| sP0(X2,X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f916,plain,
! [X14,X15] :
( ~ aElement0(X14)
| ~ aElement0(X15)
| sz00 = sdtpldt0(smndt0(sdtpldt0(X15,X14)),sdtpldt0(X15,X14)) ),
inference(resolution,[],[f226,f187]) ).
fof(f915,plain,
! [X12,X13] :
( ~ aElement0(X12)
| ~ aElement0(X13)
| sz00 = sdtpldt0(sdtpldt0(X13,X12),smndt0(sdtpldt0(X13,X12))) ),
inference(resolution,[],[f226,f186]) ).
fof(f914,plain,
! [X10,X11] :
( ~ aElement0(X10)
| ~ aElement0(X11)
| sdtpldt0(X11,X10) = sdtpldt0(sz00,sdtpldt0(X11,X10)) ),
inference(resolution,[],[f226,f185]) ).
fof(f913,plain,
! [X8,X9] :
( ~ aElement0(X8)
| ~ aElement0(X9)
| sdtpldt0(X9,X8) = sdtpldt0(sdtpldt0(X9,X8),sz00) ),
inference(resolution,[],[f226,f184]) ).
fof(f226,plain,
! [X0,X1] :
( aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X1] :
( aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f53]) ).
fof(f53,plain,
! [X0,X1] :
( aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> aElement0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.KGcFcWB5TY/Vampire---4.8_3400',mSortsB) ).
fof(f852,plain,
! [X14,X15] :
( ~ aElement0(X14)
| ~ aElement0(X15)
| sz00 = sdtpldt0(smndt0(sdtasdt0(X15,X14)),sdtasdt0(X15,X14)) ),
inference(resolution,[],[f225,f187]) ).
fof(f851,plain,
! [X12,X13] :
( ~ aElement0(X12)
| ~ aElement0(X13)
| sz00 = sdtpldt0(sdtasdt0(X13,X12),smndt0(sdtasdt0(X13,X12))) ),
inference(resolution,[],[f225,f186]) ).
fof(f225,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f51]) ).
fof(f51,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> aElement0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.KGcFcWB5TY/Vampire---4.8_3400',mSortsB_02) ).
fof(f199,plain,
! [X0] :
( ~ sP4(X0,sK23(X0))
| aIdeal0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0] :
( ( aIdeal0(X0)
| ( ~ sP4(X0,sK23(X0))
& aElementOf0(sK23(X0),X0) )
| ~ aSet0(X0) )
& ( ( ! [X2] :
( sP4(X0,X2)
| ~ aElementOf0(X2,X0) )
& aSet0(X0) )
| ~ aIdeal0(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK23])],[f110,f111]) ).
fof(f111,plain,
! [X0] :
( ? [X1] :
( ~ sP4(X0,X1)
& aElementOf0(X1,X0) )
=> ( ~ sP4(X0,sK23(X0))
& aElementOf0(sK23(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f110,plain,
! [X0] :
( ( aIdeal0(X0)
| ? [X1] :
( ~ sP4(X0,X1)
& aElementOf0(X1,X0) )
| ~ aSet0(X0) )
& ( ( ! [X2] :
( sP4(X0,X2)
| ~ aElementOf0(X2,X0) )
& aSet0(X0) )
| ~ aIdeal0(X0) ) ),
inference(rectify,[],[f109]) ).
fof(f109,plain,
! [X0] :
( ( aIdeal0(X0)
| ? [X1] :
( ~ sP4(X0,X1)
& aElementOf0(X1,X0) )
| ~ aSet0(X0) )
& ( ( ! [X1] :
( sP4(X0,X1)
| ~ aElementOf0(X1,X0) )
& aSet0(X0) )
| ~ aIdeal0(X0) ) ),
inference(flattening,[],[f108]) ).
fof(f108,plain,
! [X0] :
( ( aIdeal0(X0)
| ? [X1] :
( ~ sP4(X0,X1)
& aElementOf0(X1,X0) )
| ~ aSet0(X0) )
& ( ( ! [X1] :
( sP4(X0,X1)
| ~ aElementOf0(X1,X0) )
& aSet0(X0) )
| ~ aIdeal0(X0) ) ),
inference(nnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0] :
( aIdeal0(X0)
<=> ( ! [X1] :
( sP4(X0,X1)
| ~ aElementOf0(X1,X0) )
& aSet0(X0) ) ),
inference(definition_folding,[],[f44,f72]) ).
fof(f44,plain,
! [X0] :
( aIdeal0(X0)
<=> ( ! [X1] :
( ( ! [X2] :
( aElementOf0(sdtasdt0(X2,X1),X0)
| ~ aElement0(X2) )
& ! [X3] :
( aElementOf0(sdtpldt0(X1,X3),X0)
| ~ aElementOf0(X3,X0) ) )
| ~ aElementOf0(X1,X0) )
& aSet0(X0) ) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0] :
( aIdeal0(X0)
<=> ( ! [X1] :
( aElementOf0(X1,X0)
=> ( ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),X0) )
& ! [X3] :
( aElementOf0(X3,X0)
=> aElementOf0(sdtpldt0(X1,X3),X0) ) ) )
& aSet0(X0) ) ),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X0] :
( aIdeal0(X0)
<=> ( ! [X1] :
( aElementOf0(X1,X0)
=> ( ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),X0) )
& ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(sdtpldt0(X1,X2),X0) ) ) )
& aSet0(X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.KGcFcWB5TY/Vampire---4.8_3400',mDefIdeal) ).
fof(f198,plain,
! [X0] :
( aElementOf0(sK23(X0),X0)
| aIdeal0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f197,plain,
! [X2,X0] :
( sP4(X0,X2)
| ~ aElementOf0(X2,X0)
| ~ aIdeal0(X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f187,plain,
! [X0] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(smndt0(X0),X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0] :
( ( sz00 = sdtpldt0(smndt0(X0),X0)
& sz00 = sdtpldt0(X0,smndt0(X0)) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( aElement0(X0)
=> ( sz00 = sdtpldt0(smndt0(X0),X0)
& sz00 = sdtpldt0(X0,smndt0(X0)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.KGcFcWB5TY/Vampire---4.8_3400',mAddInvr) ).
fof(f186,plain,
! [X0] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(X0,smndt0(X0)) ),
inference(cnf_transformation,[],[f42]) ).
fof(f150,plain,
! [X0,X1] :
( aElementOf0(sK15(X0,X1),xJ)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f94]) ).
fof(f149,plain,
! [X0,X1] :
( aElementOf0(sK14(X0,X1),xI)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f94]) ).
fof(f147,plain,
! [X0,X1] :
( aElementOf0(sK13(X0,X1),xJ)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f90]) ).
fof(f146,plain,
! [X0,X1] :
( aElementOf0(sK12(X0,X1),xI)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f90]) ).
fof(f213,plain,
! [X0,X1] :
( sP6(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( sP6(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(definition_folding,[],[f48,f75,f74]) ).
fof(f48,plain,
! [X0,X1] :
( ! [X2] :
( sdtasasdt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElementOf0(X3,X1)
& aElementOf0(X3,X0) ) )
& aSet0(X2) ) )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f47]) ).
fof(f47,plain,
! [X0,X1] :
( ! [X2] :
( sdtasasdt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElementOf0(X3,X1)
& aElementOf0(X3,X0) ) )
& aSet0(X2) ) )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0,X1] :
( ( aSet0(X1)
& aSet0(X0) )
=> ! [X2] :
( sdtasasdt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElementOf0(X3,X1)
& aElementOf0(X3,X0) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.KGcFcWB5TY/Vampire---4.8_3400',mDefSInt) ).
fof(f185,plain,
! [X0] :
( ~ aElement0(X0)
| sdtpldt0(sz00,X0) = X0 ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0] :
( ( sdtpldt0(sz00,X0) = X0
& sdtpldt0(X0,sz00) = X0 )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( aElement0(X0)
=> ( sdtpldt0(sz00,X0) = X0
& sdtpldt0(X0,sz00) = X0 ) ),
file('/export/starexec/sandbox2/tmp/tmp.KGcFcWB5TY/Vampire---4.8_3400',mAddZero) ).
fof(f184,plain,
! [X0] :
( ~ aElement0(X0)
| sdtpldt0(X0,sz00) = X0 ),
inference(cnf_transformation,[],[f41]) ).
fof(f183,plain,
! [X0] :
( ~ aElement0(X0)
| sdtasdt0(sz10,X0) = X0 ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0] :
( ( sdtasdt0(sz10,X0) = X0
& sdtasdt0(X0,sz10) = X0 )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( aElement0(X0)
=> ( sdtasdt0(sz10,X0) = X0
& sdtasdt0(X0,sz10) = X0 ) ),
file('/export/starexec/sandbox2/tmp/tmp.KGcFcWB5TY/Vampire---4.8_3400',mMulUnit) ).
fof(f182,plain,
! [X0] :
( ~ aElement0(X0)
| sdtasdt0(X0,sz10) = X0 ),
inference(cnf_transformation,[],[f40]) ).
fof(f181,plain,
! [X0] :
( ~ aElement0(X0)
| sz00 = sdtasdt0(sz00,X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0] :
( ( sz00 = sdtasdt0(sz00,X0)
& sz00 = sdtasdt0(X0,sz00) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] :
( aElement0(X0)
=> ( sz00 = sdtasdt0(sz00,X0)
& sz00 = sdtasdt0(X0,sz00) ) ),
file('/export/starexec/sandbox2/tmp/tmp.KGcFcWB5TY/Vampire---4.8_3400',mMulZero) ).
fof(f180,plain,
! [X0] :
( ~ aElement0(X0)
| sz00 = sdtasdt0(X0,sz00) ),
inference(cnf_transformation,[],[f39]) ).
fof(f178,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.KGcFcWB5TY/Vampire---4.8_3400',mEOfElem) ).
fof(f158,plain,
! [X3] :
( ~ aElementOf0(X3,sdtpldt1(xI,xJ))
| aElementOf0(sK20(X3),xJ) ),
inference(cnf_transformation,[],[f101]) ).
fof(f157,plain,
! [X3] :
( ~ aElementOf0(X3,sdtpldt1(xI,xJ))
| aElementOf0(sK19(X3),xI) ),
inference(cnf_transformation,[],[f101]) ).
fof(f206,plain,
! [X2,X0,X1] :
( ~ sP5(X0,X1,X2)
| aSet0(X2) ),
inference(cnf_transformation,[],[f121]) ).
fof(f162,plain,
( aElement0(sK17)
| aElementOf0(sK18,sdtpldt1(xI,xJ)) ),
inference(cnf_transformation,[],[f101]) ).
fof(f179,plain,
! [X0] :
( aElement0(smndt0(X0))
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0] :
( aElement0(smndt0(X0))
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( aElement0(X0)
=> aElement0(smndt0(X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.KGcFcWB5TY/Vampire---4.8_3400',mSortsU) ).
fof(f196,plain,
! [X0] :
( ~ aIdeal0(X0)
| aSet0(X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f161,plain,
aElementOf0(sK16,sdtpldt1(xI,xJ)),
inference(cnf_transformation,[],[f101]) ).
fof(f166,plain,
~ aIdeal0(sdtpldt1(xI,xJ)),
inference(cnf_transformation,[],[f101]) ).
fof(f156,plain,
aSet0(sdtpldt1(xI,xJ)),
inference(cnf_transformation,[],[f101]) ).
fof(f177,plain,
sz00 != sz10,
inference(cnf_transformation,[],[f18]) ).
fof(f18,axiom,
sz00 != sz10,
file('/export/starexec/sandbox2/tmp/tmp.KGcFcWB5TY/Vampire---4.8_3400',mUnNeZr) ).
fof(f176,plain,
aElement0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
aElement0(sz00),
file('/export/starexec/sandbox2/tmp/tmp.KGcFcWB5TY/Vampire---4.8_3400',mSortsC) ).
fof(f175,plain,
aElement0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
aElement0(sz10),
file('/export/starexec/sandbox2/tmp/tmp.KGcFcWB5TY/Vampire---4.8_3400',mSortsC_01) ).
fof(f174,plain,
aIdeal0(xJ),
inference(cnf_transformation,[],[f36]) ).
fof(f171,plain,
aSet0(xJ),
inference(cnf_transformation,[],[f36]) ).
fof(f170,plain,
aIdeal0(xI),
inference(cnf_transformation,[],[f36]) ).
fof(f167,plain,
aSet0(xI),
inference(cnf_transformation,[],[f36]) ).
fof(f164,plain,
( ~ aElementOf0(sdtasdt0(sK17,sK16),sdtpldt1(xI,xJ))
| aElementOf0(sK18,sdtpldt1(xI,xJ)) ),
inference(cnf_transformation,[],[f101]) ).
fof(f165,plain,
( ~ aElementOf0(sdtasdt0(sK17,sK16),sdtpldt1(xI,xJ))
| ~ aElementOf0(sdtpldt0(sK16,sK18),sdtpldt1(xI,xJ)) ),
inference(cnf_transformation,[],[f101]) ).
fof(f293,plain,
( aElement0(sK17)
| ~ spl32_12 ),
inference(avatar_component_clause,[],[f291]) ).
fof(f291,plain,
( spl32_12
<=> aElement0(sK17) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_12])]) ).
fof(f12848,plain,
( ~ spl32_17
| ~ spl32_189
| ~ spl32_195 ),
inference(avatar_contradiction_clause,[],[f12847]) ).
fof(f12847,plain,
( $false
| ~ spl32_17
| ~ spl32_189
| ~ spl32_195 ),
inference(global_subsumption,[],[f165,f164,f167,f170,f171,f174,f175,f176,f177,f156,f166,f161,f196,f179,f162,f206,f157,f158,f178,f180,f181,f182,f183,f184,f185,f213,f146,f147,f149,f150,f186,f187,f197,f198,f199,f225,f851,f852,f226,f913,f914,f915,f916,f142,f794,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f144,f369,f1029,f1030,f1031,f1042,f188,f1093,f1094,f1107,f189,f1172,f1173,f1186,f159,f169,f173,f130,f131,f191,f1544,f207,f208,f168,f172,f139,f140,f190,f1927,f222,f227,f1972,f1975,f1976,f1989,f228,f2129,f2133,f2134,f2146,f192,f2170,f2171,f2172,f2173,f204,f205,f155,f2271,f2273,f2274,f160,f143,f145,f209,f214,f215,f223,f134,f135,f148,f151,f193,f132,f194,f224,f229,f133,f137,f138,f218,f3042,f3043,f3044,f3045,f3046,f3047,f3048,f3049,f3050,f3051,f219,f3078,f3079,f3080,f3081,f3082,f3083,f3084,f3085,f3086,f3087,f153,f3163,f3165,f3166,f3167,f3168,f3169,f3170,f154,f3230,f3232,f3233,f3234,f3235,f3236,f3237,f195,f200,f3329,f3328,f201,f202,f3400,f203,f230,f3464,f3470,f3471,f3488,f231,f3491,f3497,f3498,f3515,f210,f3531,f3538,f3524,f3525,f3526,f3527,f3528,f3529,f211,f3557,f3564,f3550,f3551,f3552,f3553,f3554,f3555,f216,f217,f3733,f232,f3771,f3777,f3778,f3793,f233,f3853,f3858,f3859,f3874,f136,f3875,f152,f3918,f212,f220,f4012,f4013,f4014,f4015,f4016,f4017,f4018,f221,f141,f4085,f4265,f2865,f2866,f392,f4946,f4953,f4954,f4973,f1969,f421,f5826,f5832,f5835,f5853,f455,f5913,f5919,f5922,f5940,f505,f5960,f5966,f5969,f5987,f533,f6092,f6098,f6101,f6119,f2196,f6967,f6969,f6970,f6971,f1545,f1546,f2310,f7526,f7527,f7528,f7529,f7530,f7531,f7533,f2681,f8024,f8025,f8026,f8027,f8028,f8029,f8030,f8031,f8032,f8033,f8034,f8035,f8036,f8037,f8038,f8039,f8040,f8041,f8042,f8043,f8044,f8045,f2682,f8163,f8164,f8165,f8166,f8167,f8168,f8169,f8170,f8171,f8172,f8173,f8174,f8175,f8176,f8177,f8178,f8179,f8180,f8181,f8182,f8183,f8184,f702,f8306,f8314,f8317,f8342,f8343,f8344,f729,f8448,f8456,f8459,f8486,f8487,f8488,f2517,f8544,f8546,f8547,f2704,f2705,f845,f8849,f8857,f8860,f8889,f8890,f8891,f846,f8981,f8989,f8992,f9021,f9022,f9023,f909,f9108,f9116,f9119,f9148,f9149,f9150,f910,f9207,f9215,f9218,f9247,f9248,f9249,f1092,f9298,f9306,f9309,f9338,f9339,f9340,f1171,f9409,f9417,f9420,f9449,f9450,f9451,f1542,f9555,f2861,f2862,f1925,f10037,f2863,f2864,f3530,f10360,f10361,f3556,f10455,f10456,f1928,f1929,f3298,f11480,f3299,f11606,f847,f11753,f11761,f11764,f11797,f848,f11918,f11927,f11930,f11963,f849,f12100,f12109,f12112,f12146,f850,f12247,f12256,f12259,f12294,f911,f12373,f12382,f12385,f12420,f4495,f912,f163,f12844,f4670,f322]) ).
fof(f12835,plain,
( spl32_204
| ~ spl32_10
| ~ spl32_11
| spl32_17 ),
inference(avatar_split_clause,[],[f12832,f321,f287,f280,f5229]) ).
fof(f5229,plain,
( spl32_204
<=> ! [X0] : ~ aElement0(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_204])]) ).
fof(f280,plain,
( spl32_10
<=> aElementOf0(sK16,sdtpldt1(xI,xJ)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_10])]) ).
fof(f287,plain,
( spl32_11
<=> aElementOf0(sK18,sdtpldt1(xI,xJ)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_11])]) ).
fof(f12832,plain,
( ! [X0] : ~ aElement0(X0)
| ~ spl32_10
| ~ spl32_11
| spl32_17 ),
inference(subsumption_resolution,[],[f12827,f323]) ).
fof(f323,plain,
( ~ aElementOf0(sdtpldt0(sK16,sK18),sdtpldt1(xI,xJ))
| spl32_17 ),
inference(avatar_component_clause,[],[f321]) ).
fof(f12827,plain,
( ! [X0] :
( ~ aElement0(X0)
| aElementOf0(sdtpldt0(sK16,sK18),sdtpldt1(xI,xJ)) )
| ~ spl32_10
| ~ spl32_11 ),
inference(resolution,[],[f12719,f2862]) ).
fof(f12719,plain,
( ! [X12] :
( sP3(sK18,X12,sK16)
| ~ aElement0(X12) )
| ~ spl32_10
| ~ spl32_11 ),
inference(resolution,[],[f12552,f282]) ).
fof(f282,plain,
( aElementOf0(sK16,sdtpldt1(xI,xJ))
| ~ spl32_10 ),
inference(avatar_component_clause,[],[f280]) ).
fof(f12552,plain,
( ! [X8,X9] :
( ~ aElementOf0(X9,sdtpldt1(xI,xJ))
| sP3(sK18,X8,X9)
| ~ aElement0(X8) )
| ~ spl32_11 ),
inference(resolution,[],[f289,f155]) ).
fof(f289,plain,
( aElementOf0(sK18,sdtpldt1(xI,xJ))
| ~ spl32_11 ),
inference(avatar_component_clause,[],[f287]) ).
fof(f12820,plain,
( spl32_433
| ~ spl32_16
| ~ spl32_120
| ~ spl32_222 ),
inference(avatar_split_clause,[],[f12493,f6203,f1497,f315,f12816]) ).
fof(f12816,plain,
( spl32_433
<=> aElementOf0(smndt0(sK20(sK18)),xJ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_433])]) ).
fof(f315,plain,
( spl32_16
<=> aElementOf0(sK20(sK18),xJ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_16])]) ).
fof(f1497,plain,
( spl32_120
<=> aElement0(smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_120])]) ).
fof(f6203,plain,
( spl32_222
<=> smndt0(sK20(sK18)) = sdtasdt0(smndt0(sz10),sK20(sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_222])]) ).
fof(f12493,plain,
( aElementOf0(smndt0(sK20(sK18)),xJ)
| ~ spl32_16
| ~ spl32_120
| ~ spl32_222 ),
inference(global_subsumption,[],[f165,f164,f163,f167,f170,f171,f174,f175,f176,f177,f156,f166,f161,f196,f179,f162,f206,f157,f158,f178,f180,f181,f182,f183,f184,f185,f213,f146,f147,f149,f150,f186,f187,f197,f198,f199,f225,f851,f852,f226,f912,f913,f914,f915,f916,f142,f794,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f144,f369,f1029,f1030,f1031,f1042,f188,f1093,f1094,f1107,f189,f1172,f1173,f1186,f159,f169,f173,f130,f131,f1498,f1516,f1517,f1509,f191,f1544,f207,f208,f1510,f1511,f1512,f1513,f1518,f168,f172,f139,f140,f190,f1927,f222,f227,f1972,f1973,f1975,f1976,f1989,f228,f2129,f2130,f2133,f2134,f2146,f192,f2170,f2171,f2172,f2173,f204,f205,f155,f2271,f2273,f2274,f160,f143,f145,f209,f214,f215,f223,f134,f135,f148,f151,f193,f132,f194,f224,f229,f133,f137,f138,f218,f3042,f3043,f3044,f3045,f3046,f3047,f3048,f3049,f3050,f3051,f219,f3078,f3079,f3080,f3081,f3082,f3083,f3084,f3085,f3086,f3087,f153,f3163,f3165,f3166,f3167,f3168,f3169,f3170,f154,f3230,f3232,f3233,f3234,f3235,f3236,f3237,f195,f200,f3329,f3328,f201,f202,f3400,f203,f230,f3464,f3465,f3470,f3471,f3488,f231,f3491,f3492,f3497,f3498,f3515,f210,f3531,f3538,f3524,f3525,f3526,f3527,f3528,f3529,f211,f3557,f3564,f3550,f3551,f3552,f3553,f3554,f3555,f216,f217,f3733,f232,f3771,f3772,f3777,f3778,f3793,f233,f3853,f3854,f3858,f3859,f3874,f136,f3875,f152,f3918,f212,f220,f4012,f4013,f4014,f4015,f4016,f4017,f4018,f221,f141,f4085,f2865,f2866,f392,f4946,f4953,f4954,f4973,f1969,f4947,f1514,f1515,f421,f5826,f5827,f5832,f5835,f5853,f455,f5913,f5914,f5919,f5922,f5940,f505,f5960,f5961,f5966,f5969,f5987,f533,f6092,f6093,f6098,f6101,f6119,f317,f6205,f6884,f2196,f6967,f6969,f6970,f6971,f1545,f1546,f2310,f7526,f7527,f7528,f7529,f7530,f7531,f7533,f2681,f8024,f8025,f8026,f8027,f8028,f8029,f8030,f8031,f8032,f8033,f8034,f8035,f8036,f8037,f8038,f8039,f8040,f8041,f8042,f8043,f8044,f8045,f2682,f8163,f8164,f8165,f8166,f8167,f8168,f8169,f8170,f8171,f8172,f8173,f8174,f8175,f8176,f8177,f8178,f8179,f8180,f8181,f8182,f8183,f8184,f702,f8306,f8307,f8314,f8317,f8342,f8343,f8344,f729,f8448,f8449,f8456,f8459,f8486,f8487,f8488,f2517,f8544,f8546,f8547,f2704,f2705,f845,f8849,f8850,f8857,f8860,f8889,f8890,f8891,f846,f8981,f8982,f8989,f8992,f9021,f9022,f9023,f909,f9108,f9109,f9116,f9119,f9148,f9149,f9150,f910,f9207,f9208,f9215,f9218,f9247,f9248,f9249,f1092,f9298,f9299,f9306,f9309,f9338,f9339,f9340,f1171,f9409,f9410,f9417,f9420,f9449,f9450,f9451,f1542,f9555,f2861,f2862,f1925,f10037,f2863,f2864,f3530,f10360,f10361,f3556,f10455,f10456,f1928,f1929,f3298,f11480,f3299,f11606,f847,f11753,f11754,f11761,f11764,f11797,f848,f11918,f11919,f11927,f11930,f11963,f849,f12100,f12101,f12109,f12112,f12146,f850,f12247,f12248,f12256,f12259,f12294,f911,f12373,f12374,f12382,f12385,f12420,f6885,f6883]) ).
fof(f6883,plain,
( aElementOf0(smndt0(sK20(sK18)),xJ)
| ~ aElementOf0(sK20(sK18),xJ)
| ~ spl32_120
| ~ spl32_222 ),
inference(subsumption_resolution,[],[f6877,f1498]) ).
fof(f6877,plain,
( aElementOf0(smndt0(sK20(sK18)),xJ)
| ~ aElement0(smndt0(sz10))
| ~ aElementOf0(sK20(sK18),xJ)
| ~ spl32_222 ),
inference(superposition,[],[f173,f6205]) ).
fof(f6885,plain,
( ! [X0] :
( aElementOf0(smndt0(sK20(sK18)),X0)
| ~ sP4(X0,sK20(sK18)) )
| ~ spl32_120
| ~ spl32_222 ),
inference(subsumption_resolution,[],[f6878,f1498]) ).
fof(f6878,plain,
( ! [X0] :
( aElementOf0(smndt0(sK20(sK18)),X0)
| ~ aElement0(smndt0(sz10))
| ~ sP4(X0,sK20(sK18)) )
| ~ spl32_222 ),
inference(superposition,[],[f191,f6205]) ).
fof(f12374,plain,
( ! [X4] :
( ~ aElement0(X4)
| sdtpldt0(smndt0(sz10),X4) = sdtasdt0(sdtpldt0(smndt0(sz10),X4),sz10) )
| ~ spl32_120 ),
inference(resolution,[],[f911,f1498]) ).
fof(f12248,plain,
( ! [X4] :
( ~ aElement0(X4)
| sdtasdt0(smndt0(sz10),X4) = sdtpldt0(sz00,sdtasdt0(smndt0(sz10),X4)) )
| ~ spl32_120 ),
inference(resolution,[],[f850,f1498]) ).
fof(f12101,plain,
( ! [X4] :
( ~ aElement0(X4)
| sdtasdt0(smndt0(sz10),X4) = sdtpldt0(sdtasdt0(smndt0(sz10),X4),sz00) )
| ~ spl32_120 ),
inference(resolution,[],[f849,f1498]) ).
fof(f11919,plain,
( ! [X4] :
( ~ aElement0(X4)
| sdtasdt0(smndt0(sz10),X4) = sdtasdt0(sz10,sdtasdt0(smndt0(sz10),X4)) )
| ~ spl32_120 ),
inference(resolution,[],[f848,f1498]) ).
fof(f11754,plain,
( ! [X4] :
( ~ aElement0(X4)
| sdtasdt0(smndt0(sz10),X4) = sdtasdt0(sdtasdt0(smndt0(sz10),X4),sz10) )
| ~ spl32_120 ),
inference(resolution,[],[f847,f1498]) ).
fof(f9410,plain,
( smndt0(smndt0(smndt0(sz10))) = sdtasdt0(smndt0(smndt0(sz10)),smndt0(sz10))
| ~ spl32_120 ),
inference(resolution,[],[f1171,f1498]) ).
fof(f9299,plain,
( smndt0(smndt0(smndt0(sz10))) = sdtasdt0(smndt0(sz10),smndt0(smndt0(sz10)))
| ~ spl32_120 ),
inference(resolution,[],[f1092,f1498]) ).
fof(f9208,plain,
( ! [X4] :
( ~ aElement0(X4)
| sz00 = sdtasdt0(sz00,sdtpldt0(smndt0(sz10),X4)) )
| ~ spl32_120 ),
inference(resolution,[],[f910,f1498]) ).
fof(f9109,plain,
( ! [X4] :
( ~ aElement0(X4)
| sz00 = sdtasdt0(sdtpldt0(smndt0(sz10),X4),sz00) )
| ~ spl32_120 ),
inference(resolution,[],[f909,f1498]) ).
fof(f8982,plain,
( ! [X4] :
( ~ aElement0(X4)
| sz00 = sdtasdt0(sz00,sdtasdt0(smndt0(sz10),X4)) )
| ~ spl32_120 ),
inference(resolution,[],[f846,f1498]) ).
fof(f8850,plain,
( ! [X4] :
( ~ aElement0(X4)
| sz00 = sdtasdt0(sdtasdt0(smndt0(sz10),X4),sz00) )
| ~ spl32_120 ),
inference(resolution,[],[f845,f1498]) ).
fof(f8449,plain,
( sz00 = sdtpldt0(smndt0(smndt0(smndt0(sz10))),smndt0(smndt0(sz10)))
| ~ spl32_120 ),
inference(resolution,[],[f729,f1498]) ).
fof(f8307,plain,
( sz00 = sdtpldt0(smndt0(smndt0(sz10)),smndt0(smndt0(smndt0(sz10))))
| ~ spl32_120 ),
inference(resolution,[],[f702,f1498]) ).
fof(f6884,plain,
( aElementOf0(smndt0(sK20(sK18)),xJ)
| ~ spl32_16
| ~ spl32_120
| ~ spl32_222 ),
inference(subsumption_resolution,[],[f6883,f317]) ).
fof(f6205,plain,
( smndt0(sK20(sK18)) = sdtasdt0(smndt0(sz10),sK20(sK18))
| ~ spl32_222 ),
inference(avatar_component_clause,[],[f6203]) ).
fof(f317,plain,
( aElementOf0(sK20(sK18),xJ)
| ~ spl32_16 ),
inference(avatar_component_clause,[],[f315]) ).
fof(f6093,plain,
( smndt0(smndt0(sz10)) = sdtpldt0(sz00,smndt0(smndt0(sz10)))
| ~ spl32_120 ),
inference(resolution,[],[f533,f1498]) ).
fof(f5961,plain,
( smndt0(smndt0(sz10)) = sdtpldt0(smndt0(smndt0(sz10)),sz00)
| ~ spl32_120 ),
inference(resolution,[],[f505,f1498]) ).
fof(f5914,plain,
( smndt0(smndt0(sz10)) = sdtasdt0(sz10,smndt0(smndt0(sz10)))
| ~ spl32_120 ),
inference(resolution,[],[f455,f1498]) ).
fof(f5827,plain,
( smndt0(smndt0(sz10)) = sdtasdt0(smndt0(smndt0(sz10)),sz10)
| ~ spl32_120 ),
inference(resolution,[],[f421,f1498]) ).
fof(f1515,plain,
( sz00 = sdtpldt0(smndt0(smndt0(sz10)),smndt0(sz10))
| ~ spl32_120 ),
inference(resolution,[],[f1498,f187]) ).
fof(f1514,plain,
( sz00 = sdtpldt0(smndt0(sz10),smndt0(smndt0(sz10)))
| ~ spl32_120 ),
inference(resolution,[],[f1498,f186]) ).
fof(f4947,plain,
( sz00 = sdtasdt0(sz00,smndt0(smndt0(sz10)))
| ~ spl32_120 ),
inference(resolution,[],[f392,f1498]) ).
fof(f3854,plain,
( ! [X8,X7] :
( sdtasdt0(sdtpldt0(X7,smndt0(sz10)),X8) = sdtpldt0(sdtasdt0(X7,X8),sdtasdt0(smndt0(sz10),X8))
| ~ aElement0(X7)
| ~ aElement0(X8) )
| ~ spl32_120 ),
inference(resolution,[],[f233,f1498]) ).
fof(f3772,plain,
( ! [X8,X7] :
( sdtasdt0(X7,sdtpldt0(X8,smndt0(sz10))) = sdtpldt0(sdtasdt0(X7,X8),sdtasdt0(X7,smndt0(sz10)))
| ~ aElement0(X8)
| ~ aElement0(X7) )
| ~ spl32_120 ),
inference(resolution,[],[f232,f1498]) ).
fof(f3492,plain,
( ! [X8,X7] :
( sdtpldt0(sdtpldt0(X7,X8),smndt0(sz10)) = sdtpldt0(X7,sdtpldt0(X8,smndt0(sz10)))
| ~ aElement0(X8)
| ~ aElement0(X7) )
| ~ spl32_120 ),
inference(resolution,[],[f231,f1498]) ).
fof(f3465,plain,
( ! [X8,X7] :
( sdtasdt0(sdtasdt0(X7,X8),smndt0(sz10)) = sdtasdt0(X7,sdtasdt0(X8,smndt0(sz10)))
| ~ aElement0(X8)
| ~ aElement0(X7) )
| ~ spl32_120 ),
inference(resolution,[],[f230,f1498]) ).
fof(f2130,plain,
( ! [X4] :
( sdtpldt0(X4,smndt0(sz10)) = sdtpldt0(smndt0(sz10),X4)
| ~ aElement0(X4) )
| ~ spl32_120 ),
inference(resolution,[],[f228,f1498]) ).
fof(f1973,plain,
( ! [X4] :
( sdtasdt0(X4,smndt0(sz10)) = sdtasdt0(smndt0(sz10),X4)
| ~ aElement0(X4) )
| ~ spl32_120 ),
inference(resolution,[],[f227,f1498]) ).
fof(f1518,plain,
( sz00 = sdtasdt0(smndt0(smndt0(sz10)),sz00)
| ~ spl32_120 ),
inference(resolution,[],[f1498,f369]) ).
fof(f1513,plain,
( smndt0(sz10) = sdtpldt0(sz00,smndt0(sz10))
| ~ spl32_120 ),
inference(resolution,[],[f1498,f185]) ).
fof(f1512,plain,
( smndt0(sz10) = sdtpldt0(smndt0(sz10),sz00)
| ~ spl32_120 ),
inference(resolution,[],[f1498,f184]) ).
fof(f1511,plain,
( smndt0(sz10) = sdtasdt0(sz10,smndt0(sz10))
| ~ spl32_120 ),
inference(resolution,[],[f1498,f183]) ).
fof(f1510,plain,
( smndt0(sz10) = sdtasdt0(smndt0(sz10),sz10)
| ~ spl32_120 ),
inference(resolution,[],[f1498,f182]) ).
fof(f1509,plain,
( sz00 = sdtasdt0(sz00,smndt0(sz10))
| ~ spl32_120 ),
inference(resolution,[],[f1498,f181]) ).
fof(f1517,plain,
( smndt0(smndt0(sz10)) = sdtasdt0(smndt0(sz10),smndt0(sz10))
| ~ spl32_120 ),
inference(resolution,[],[f1498,f189]) ).
fof(f1516,plain,
( smndt0(smndt0(sz10)) = sdtasdt0(smndt0(sz10),smndt0(sz10))
| ~ spl32_120 ),
inference(resolution,[],[f1498,f188]) ).
fof(f1498,plain,
( aElement0(smndt0(sz10))
| ~ spl32_120 ),
inference(avatar_component_clause,[],[f1497]) ).
fof(f12819,plain,
( spl32_433
| ~ spl32_16
| ~ spl32_120
| ~ spl32_222 ),
inference(avatar_split_clause,[],[f6884,f6203,f1497,f315,f12816]) ).
fof(f12766,plain,
( spl32_241
| ~ spl32_3
| ~ spl32_16
| ~ spl32_120
| ~ spl32_222 ),
inference(avatar_split_clause,[],[f6889,f6203,f1497,f315,f245,f6891]) ).
fof(f6891,plain,
( spl32_241
<=> aElement0(smndt0(sK20(sK18))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_241])]) ).
fof(f245,plain,
( spl32_3
<=> aSet0(xJ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_3])]) ).
fof(f6889,plain,
( aElement0(smndt0(sK20(sK18)))
| ~ spl32_3
| ~ spl32_16
| ~ spl32_120
| ~ spl32_222 ),
inference(subsumption_resolution,[],[f6888,f1498]) ).
fof(f6888,plain,
( aElement0(smndt0(sK20(sK18)))
| ~ aElement0(smndt0(sz10))
| ~ spl32_3
| ~ spl32_16
| ~ spl32_222 ),
inference(subsumption_resolution,[],[f6882,f317]) ).
fof(f6882,plain,
( aElement0(smndt0(sK20(sK18)))
| ~ aElementOf0(sK20(sK18),xJ)
| ~ aElement0(smndt0(sz10))
| ~ spl32_3
| ~ spl32_222 ),
inference(superposition,[],[f1440,f6205]) ).
fof(f1440,plain,
( ! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElementOf0(X1,xJ)
| ~ aElement0(X0) )
| ~ spl32_3 ),
inference(subsumption_resolution,[],[f1392,f247]) ).
fof(f247,plain,
( aSet0(xJ)
| ~ spl32_3 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f1392,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aElementOf0(X1,xJ)
| aElement0(sdtasdt0(X0,X1))
| ~ aSet0(xJ) ),
inference(resolution,[],[f173,f178]) ).
fof(f12566,plain,
( spl32_23
| ~ spl32_3
| ~ spl32_16 ),
inference(avatar_split_clause,[],[f336,f315,f245,f363]) ).
fof(f363,plain,
( spl32_23
<=> aElement0(sK20(sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_23])]) ).
fof(f336,plain,
( aElement0(sK20(sK18))
| ~ spl32_3
| ~ spl32_16 ),
inference(subsumption_resolution,[],[f330,f247]) ).
fof(f330,plain,
( aElement0(sK20(sK18))
| ~ aSet0(xJ)
| ~ spl32_16 ),
inference(resolution,[],[f178,f317]) ).
fof(f12565,plain,
( spl32_21
| ~ spl32_1
| ~ spl32_14 ),
inference(avatar_split_clause,[],[f334,f303,f235,f353]) ).
fof(f353,plain,
( spl32_21
<=> aElement0(sK19(sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_21])]) ).
fof(f235,plain,
( spl32_1
<=> aSet0(xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_1])]) ).
fof(f303,plain,
( spl32_14
<=> aElementOf0(sK19(sK18),xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_14])]) ).
fof(f334,plain,
( aElement0(sK19(sK18))
| ~ spl32_1
| ~ spl32_14 ),
inference(subsumption_resolution,[],[f328,f237]) ).
fof(f237,plain,
( aSet0(xI)
| ~ spl32_1 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f328,plain,
( aElement0(sK19(sK18))
| ~ aSet0(xI)
| ~ spl32_14 ),
inference(resolution,[],[f178,f305]) ).
fof(f305,plain,
( aElementOf0(sK19(sK18),xI)
| ~ spl32_14 ),
inference(avatar_component_clause,[],[f303]) ).
fof(f12562,plain,
( spl32_16
| ~ spl32_11 ),
inference(avatar_split_clause,[],[f308,f287,f315]) ).
fof(f308,plain,
( aElementOf0(sK20(sK18),xJ)
| ~ spl32_11 ),
inference(resolution,[],[f158,f289]) ).
fof(f12559,plain,
( spl32_14
| ~ spl32_11 ),
inference(avatar_split_clause,[],[f296,f287,f303]) ).
fof(f296,plain,
( aElementOf0(sK19(sK18),xI)
| ~ spl32_11 ),
inference(resolution,[],[f157,f289]) ).
fof(f12501,plain,
( spl32_19
| ~ spl32_8
| ~ spl32_11 ),
inference(avatar_split_clause,[],[f332,f287,f270,f343]) ).
fof(f343,plain,
( spl32_19
<=> aElement0(sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_19])]) ).
fof(f270,plain,
( spl32_8
<=> aSet0(sdtpldt1(xI,xJ)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_8])]) ).
fof(f332,plain,
( aElement0(sK18)
| ~ spl32_8
| ~ spl32_11 ),
inference(subsumption_resolution,[],[f326,f272]) ).
fof(f272,plain,
( aSet0(sdtpldt1(xI,xJ))
| ~ spl32_8 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f326,plain,
( aElement0(sK18)
| ~ aSet0(sdtpldt1(xI,xJ))
| ~ spl32_11 ),
inference(resolution,[],[f178,f289]) ).
fof(f12447,plain,
( ~ spl32_10
| ~ spl32_12
| ~ spl32_189
| spl32_195 ),
inference(avatar_contradiction_clause,[],[f12446]) ).
fof(f12446,plain,
( $false
| ~ spl32_10
| ~ spl32_12
| ~ spl32_189
| spl32_195 ),
inference(subsumption_resolution,[],[f12445,f293]) ).
fof(f12445,plain,
( ~ aElement0(sK17)
| ~ spl32_10
| ~ spl32_189
| spl32_195 ),
inference(subsumption_resolution,[],[f12436,f4671]) ).
fof(f4671,plain,
( ~ aElementOf0(sdtasdt0(sK16,sK17),sdtpldt1(xI,xJ))
| spl32_195 ),
inference(avatar_component_clause,[],[f4669]) ).
fof(f12436,plain,
( aElementOf0(sdtasdt0(sK16,sK17),sdtpldt1(xI,xJ))
| ~ aElement0(sK17)
| ~ spl32_10
| ~ spl32_189 ),
inference(superposition,[],[f9617,f4265]) ).
fof(f9617,plain,
( ! [X6] :
( aElementOf0(sdtasdt0(X6,sK16),sdtpldt1(xI,xJ))
| ~ aElement0(X6) )
| ~ spl32_10 ),
inference(resolution,[],[f2861,f5186]) ).
fof(f5186,plain,
( ! [X0] :
( sP3(sK16,X0,sK16)
| ~ aElement0(X0) )
| ~ spl32_10 ),
inference(resolution,[],[f2263,f282]) ).
fof(f2263,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,sdtpldt1(xI,xJ))
| sP3(sK16,X0,X1)
| ~ aElement0(X0) )
| ~ spl32_10 ),
inference(resolution,[],[f155,f282]) ).
fof(f12440,plain,
( ~ spl32_10
| ~ spl32_12
| spl32_104 ),
inference(avatar_contradiction_clause,[],[f12439]) ).
fof(f12439,plain,
( $false
| ~ spl32_10
| ~ spl32_12
| spl32_104 ),
inference(subsumption_resolution,[],[f12422,f293]) ).
fof(f12422,plain,
( ~ aElement0(sK17)
| ~ spl32_10
| spl32_104 ),
inference(resolution,[],[f9617,f1273]) ).
fof(f1273,plain,
( ~ aElementOf0(sdtasdt0(sK17,sK16),sdtpldt1(xI,xJ))
| spl32_104 ),
inference(avatar_component_clause,[],[f1271]) ).
fof(f1271,plain,
( spl32_104
<=> aElementOf0(sdtasdt0(sK17,sK16),sdtpldt1(xI,xJ)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_104])]) ).
fof(f12334,plain,
( spl32_432
| ~ spl32_5
| ~ spl32_22 ),
inference(avatar_split_clause,[],[f6931,f358,f255,f12331]) ).
fof(f12331,plain,
( spl32_432
<=> sdtpldt0(sK20(sK16),sz10) = sdtpldt0(sz10,sK20(sK16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_432])]) ).
fof(f255,plain,
( spl32_5
<=> aElement0(sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_5])]) ).
fof(f358,plain,
( spl32_22
<=> aElement0(sK20(sK16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_22])]) ).
fof(f6931,plain,
( sdtpldt0(sK20(sK16),sz10) = sdtpldt0(sz10,sK20(sK16))
| ~ spl32_5
| ~ spl32_22 ),
inference(resolution,[],[f2128,f360]) ).
fof(f360,plain,
( aElement0(sK20(sK16))
| ~ spl32_22 ),
inference(avatar_component_clause,[],[f358]) ).
fof(f2128,plain,
( ! [X1] :
( ~ aElement0(X1)
| sdtpldt0(X1,sz10) = sdtpldt0(sz10,X1) )
| ~ spl32_5 ),
inference(resolution,[],[f228,f257]) ).
fof(f257,plain,
( aElement0(sz10)
| ~ spl32_5 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f12329,plain,
( spl32_431
| ~ spl32_5
| ~ spl32_20 ),
inference(avatar_split_clause,[],[f6927,f348,f255,f12326]) ).
fof(f12326,plain,
( spl32_431
<=> sdtpldt0(sK19(sK16),sz10) = sdtpldt0(sz10,sK19(sK16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_431])]) ).
fof(f348,plain,
( spl32_20
<=> aElement0(sK19(sK16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_20])]) ).
fof(f6927,plain,
( sdtpldt0(sK19(sK16),sz10) = sdtpldt0(sz10,sK19(sK16))
| ~ spl32_5
| ~ spl32_20 ),
inference(resolution,[],[f2128,f350]) ).
fof(f350,plain,
( aElement0(sK19(sK16))
| ~ spl32_20 ),
inference(avatar_component_clause,[],[f348]) ).
fof(f12235,plain,
( spl32_430
| ~ spl32_425 ),
inference(avatar_split_clause,[],[f12154,f12149,f12232]) ).
fof(f12232,plain,
( spl32_430
<=> sz00 = sdtasdt0(sz00,sK20(smndt0(sK20(sK16)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_430])]) ).
fof(f12149,plain,
( spl32_425
<=> aElement0(sK20(smndt0(sK20(sK16)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_425])]) ).
fof(f12154,plain,
( sz00 = sdtasdt0(sz00,sK20(smndt0(sK20(sK16))))
| ~ spl32_425 ),
inference(resolution,[],[f12151,f181]) ).
fof(f12151,plain,
( aElement0(sK20(smndt0(sK20(sK16))))
| ~ spl32_425 ),
inference(avatar_component_clause,[],[f12149]) ).
fof(f12230,plain,
( spl32_429
| ~ spl32_425 ),
inference(avatar_split_clause,[],[f12153,f12149,f12227]) ).
fof(f12227,plain,
( spl32_429
<=> sz00 = sdtasdt0(sK20(smndt0(sK20(sK16))),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_429])]) ).
fof(f12153,plain,
( sz00 = sdtasdt0(sK20(smndt0(sK20(sK16))),sz00)
| ~ spl32_425 ),
inference(resolution,[],[f12151,f180]) ).
fof(f12225,plain,
( spl32_428
| ~ spl32_424 ),
inference(avatar_split_clause,[],[f12047,f12042,f12222]) ).
fof(f12222,plain,
( spl32_428
<=> sz00 = sdtasdt0(sz00,sK19(smndt0(sK20(sK16)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_428])]) ).
fof(f12042,plain,
( spl32_424
<=> aElement0(sK19(smndt0(sK20(sK16)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_424])]) ).
fof(f12047,plain,
( sz00 = sdtasdt0(sz00,sK19(smndt0(sK20(sK16))))
| ~ spl32_424 ),
inference(resolution,[],[f12044,f181]) ).
fof(f12044,plain,
( aElement0(sK19(smndt0(sK20(sK16))))
| ~ spl32_424 ),
inference(avatar_component_clause,[],[f12042]) ).
fof(f12220,plain,
( spl32_427
| ~ spl32_424 ),
inference(avatar_split_clause,[],[f12046,f12042,f12217]) ).
fof(f12217,plain,
( spl32_427
<=> sz00 = sdtasdt0(sK19(smndt0(sK20(sK16))),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_427])]) ).
fof(f12046,plain,
( sz00 = sdtasdt0(sK19(smndt0(sK20(sK16))),sz00)
| ~ spl32_424 ),
inference(resolution,[],[f12044,f180]) ).
fof(f12213,plain,
( spl32_426
| spl32_204
| ~ spl32_10
| ~ spl32_421 ),
inference(avatar_split_clause,[],[f12206,f12017,f280,f5229,f12210]) ).
fof(f12210,plain,
( spl32_426
<=> sP0(sK16,smndt0(sK20(sK16))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_426])]) ).
fof(f12017,plain,
( spl32_421
<=> aElementOf0(smndt0(sK20(sK16)),sdtpldt1(xI,xJ)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_421])]) ).
fof(f12206,plain,
( ! [X2] :
( ~ aElement0(X2)
| sP0(sK16,smndt0(sK20(sK16))) )
| ~ spl32_10
| ~ spl32_421 ),
inference(resolution,[],[f12027,f2866]) ).
fof(f12027,plain,
( ! [X10] :
( sP3(sK16,X10,smndt0(sK20(sK16)))
| ~ aElement0(X10) )
| ~ spl32_10
| ~ spl32_421 ),
inference(resolution,[],[f12019,f2263]) ).
fof(f12019,plain,
( aElementOf0(smndt0(sK20(sK16)),sdtpldt1(xI,xJ))
| ~ spl32_421 ),
inference(avatar_component_clause,[],[f12017]) ).
fof(f12152,plain,
( spl32_425
| ~ spl32_3
| ~ spl32_423 ),
inference(avatar_split_clause,[],[f12097,f12035,f245,f12149]) ).
fof(f12035,plain,
( spl32_423
<=> aElementOf0(sK20(smndt0(sK20(sK16))),xJ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_423])]) ).
fof(f12097,plain,
( aElement0(sK20(smndt0(sK20(sK16))))
| ~ spl32_3
| ~ spl32_423 ),
inference(subsumption_resolution,[],[f12096,f247]) ).
fof(f12096,plain,
( aElement0(sK20(smndt0(sK20(sK16))))
| ~ aSet0(xJ)
| ~ spl32_423 ),
inference(resolution,[],[f12037,f178]) ).
fof(f12037,plain,
( aElementOf0(sK20(smndt0(sK20(sK16))),xJ)
| ~ spl32_423 ),
inference(avatar_component_clause,[],[f12035]) ).
fof(f12045,plain,
( spl32_424
| ~ spl32_1
| ~ spl32_422 ),
inference(avatar_split_clause,[],[f12040,f12030,f235,f12042]) ).
fof(f12030,plain,
( spl32_422
<=> aElementOf0(sK19(smndt0(sK20(sK16))),xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_422])]) ).
fof(f12040,plain,
( aElement0(sK19(smndt0(sK20(sK16))))
| ~ spl32_1
| ~ spl32_422 ),
inference(subsumption_resolution,[],[f12039,f237]) ).
fof(f12039,plain,
( aElement0(sK19(smndt0(sK20(sK16))))
| ~ aSet0(xI)
| ~ spl32_422 ),
inference(resolution,[],[f12032,f178]) ).
fof(f12032,plain,
( aElementOf0(sK19(smndt0(sK20(sK16))),xI)
| ~ spl32_422 ),
inference(avatar_component_clause,[],[f12030]) ).
fof(f12038,plain,
( spl32_423
| ~ spl32_421 ),
inference(avatar_split_clause,[],[f12025,f12017,f12035]) ).
fof(f12025,plain,
( aElementOf0(sK20(smndt0(sK20(sK16))),xJ)
| ~ spl32_421 ),
inference(resolution,[],[f12019,f158]) ).
fof(f12033,plain,
( spl32_422
| ~ spl32_421 ),
inference(avatar_split_clause,[],[f12024,f12017,f12030]) ).
fof(f12024,plain,
( aElementOf0(sK19(smndt0(sK20(sK16))),xI)
| ~ spl32_421 ),
inference(resolution,[],[f12019,f157]) ).
fof(f12020,plain,
( spl32_421
| ~ spl32_110
| ~ spl32_170
| ~ spl32_240 ),
inference(avatar_split_clause,[],[f12015,f6825,f3067,f1374,f12017]) ).
fof(f1374,plain,
( spl32_110
<=> aElementOf0(sz00,xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_110])]) ).
fof(f3067,plain,
( spl32_170
<=> aElementOf0(smndt0(sK20(sK16)),xJ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_170])]) ).
fof(f6825,plain,
( spl32_240
<=> smndt0(sK20(sK16)) = sdtpldt0(sz00,smndt0(sK20(sK16))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_240])]) ).
fof(f12015,plain,
( aElementOf0(smndt0(sK20(sK16)),sdtpldt1(xI,xJ))
| ~ spl32_110
| ~ spl32_170
| ~ spl32_240 ),
inference(subsumption_resolution,[],[f12014,f1376]) ).
fof(f1376,plain,
( aElementOf0(sz00,xI)
| ~ spl32_110 ),
inference(avatar_component_clause,[],[f1374]) ).
fof(f12014,plain,
( aElementOf0(smndt0(sK20(sK16)),sdtpldt1(xI,xJ))
| ~ aElementOf0(sz00,xI)
| ~ spl32_170
| ~ spl32_240 ),
inference(subsumption_resolution,[],[f12008,f3069]) ).
fof(f3069,plain,
( aElementOf0(smndt0(sK20(sK16)),xJ)
| ~ spl32_170 ),
inference(avatar_component_clause,[],[f3067]) ).
fof(f12008,plain,
( aElementOf0(smndt0(sK20(sK16)),sdtpldt1(xI,xJ))
| ~ aElementOf0(smndt0(sK20(sK16)),xJ)
| ~ aElementOf0(sz00,xI)
| ~ spl32_240 ),
inference(superposition,[],[f2310,f6827]) ).
fof(f6827,plain,
( smndt0(sK20(sK16)) = sdtpldt0(sz00,smndt0(sK20(sK16)))
| ~ spl32_240 ),
inference(avatar_component_clause,[],[f6825]) ).
fof(f11868,plain,
( spl32_420
| ~ spl32_417 ),
inference(avatar_split_clause,[],[f11826,f11745,f11865]) ).
fof(f11865,plain,
( spl32_420
<=> sz00 = sdtasdt0(sz00,smndt0(smndt0(smndt0(sK16)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_420])]) ).
fof(f11745,plain,
( spl32_417
<=> aElement0(smndt0(smndt0(sK16))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_417])]) ).
fof(f11826,plain,
( sz00 = sdtasdt0(sz00,smndt0(smndt0(smndt0(sK16))))
| ~ spl32_417 ),
inference(resolution,[],[f11747,f392]) ).
fof(f11747,plain,
( aElement0(smndt0(smndt0(sK16)))
| ~ spl32_417 ),
inference(avatar_component_clause,[],[f11745]) ).
fof(f11863,plain,
( spl32_419
| ~ spl32_417 ),
inference(avatar_split_clause,[],[f11825,f11745,f11860]) ).
fof(f11860,plain,
( spl32_419
<=> sz00 = sdtasdt0(smndt0(smndt0(smndt0(sK16))),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_419])]) ).
fof(f11825,plain,
( sz00 = sdtasdt0(smndt0(smndt0(smndt0(sK16))),sz00)
| ~ spl32_417 ),
inference(resolution,[],[f11747,f369]) ).
fof(f11808,plain,
( ~ spl32_173
| spl32_417 ),
inference(avatar_contradiction_clause,[],[f11807]) ).
fof(f11807,plain,
( $false
| ~ spl32_173
| spl32_417 ),
inference(subsumption_resolution,[],[f11806,f3133]) ).
fof(f3133,plain,
( aElement0(smndt0(sK16))
| ~ spl32_173 ),
inference(avatar_component_clause,[],[f3131]) ).
fof(f3131,plain,
( spl32_173
<=> aElement0(smndt0(sK16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_173])]) ).
fof(f11806,plain,
( ~ aElement0(smndt0(sK16))
| spl32_417 ),
inference(resolution,[],[f11746,f179]) ).
fof(f11746,plain,
( ~ aElement0(smndt0(smndt0(sK16)))
| spl32_417 ),
inference(avatar_component_clause,[],[f11745]) ).
fof(f11803,plain,
( ~ spl32_418
| ~ spl32_94
| ~ spl32_120
| spl32_416 ),
inference(avatar_split_clause,[],[f11750,f11741,f1497,f1164,f11800]) ).
fof(f11800,plain,
( spl32_418
<=> sP4(xI,sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_418])]) ).
fof(f1164,plain,
( spl32_94
<=> smndt0(sK16) = sdtasdt0(smndt0(sz10),sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_94])]) ).
fof(f11741,plain,
( spl32_416
<=> aElementOf0(smndt0(sK16),xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_416])]) ).
fof(f11750,plain,
( ~ sP4(xI,sK16)
| ~ spl32_94
| ~ spl32_120
| spl32_416 ),
inference(resolution,[],[f11743,f1620]) ).
fof(f1620,plain,
( ! [X30] :
( aElementOf0(smndt0(sK16),X30)
| ~ sP4(X30,sK16) )
| ~ spl32_94
| ~ spl32_120 ),
inference(subsumption_resolution,[],[f1577,f1498]) ).
fof(f1577,plain,
( ! [X30] :
( aElementOf0(smndt0(sK16),X30)
| ~ aElement0(smndt0(sz10))
| ~ sP4(X30,sK16) )
| ~ spl32_94 ),
inference(superposition,[],[f191,f1166]) ).
fof(f1166,plain,
( smndt0(sK16) = sdtasdt0(smndt0(sz10),sK16)
| ~ spl32_94 ),
inference(avatar_component_clause,[],[f1164]) ).
fof(f11743,plain,
( ~ aElementOf0(smndt0(sK16),xI)
| spl32_416 ),
inference(avatar_component_clause,[],[f11741]) ).
fof(f11748,plain,
( ~ spl32_416
| spl32_417
| ~ spl32_1
| ~ spl32_120
| ~ spl32_412 ),
inference(avatar_split_clause,[],[f11736,f11703,f1497,f235,f11745,f11741]) ).
fof(f11703,plain,
( spl32_412
<=> smndt0(smndt0(sK16)) = sdtasdt0(smndt0(sz10),smndt0(sK16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_412])]) ).
fof(f11736,plain,
( aElement0(smndt0(smndt0(sK16)))
| ~ aElementOf0(smndt0(sK16),xI)
| ~ spl32_1
| ~ spl32_120
| ~ spl32_412 ),
inference(subsumption_resolution,[],[f11727,f1498]) ).
fof(f11727,plain,
( aElement0(smndt0(smndt0(sK16)))
| ~ aElementOf0(smndt0(sK16),xI)
| ~ aElement0(smndt0(sz10))
| ~ spl32_1
| ~ spl32_412 ),
inference(superposition,[],[f1352,f11705]) ).
fof(f11705,plain,
( smndt0(smndt0(sK16)) = sdtasdt0(smndt0(sz10),smndt0(sK16))
| ~ spl32_412 ),
inference(avatar_component_clause,[],[f11703]) ).
fof(f1352,plain,
( ! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElementOf0(X1,xI)
| ~ aElement0(X0) )
| ~ spl32_1 ),
inference(subsumption_resolution,[],[f1304,f237]) ).
fof(f1304,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aElementOf0(X1,xI)
| aElement0(sdtasdt0(X0,X1))
| ~ aSet0(xI) ),
inference(resolution,[],[f169,f178]) ).
fof(f11721,plain,
( spl32_415
| ~ spl32_12 ),
inference(avatar_split_clause,[],[f9428,f291,f11718]) ).
fof(f11718,plain,
( spl32_415
<=> smndt0(smndt0(sK17)) = sdtasdt0(smndt0(sK17),smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_415])]) ).
fof(f9428,plain,
( smndt0(smndt0(sK17)) = sdtasdt0(smndt0(sK17),smndt0(sz10))
| ~ spl32_12 ),
inference(resolution,[],[f1171,f293]) ).
fof(f11716,plain,
( spl32_414
| ~ spl32_18 ),
inference(avatar_split_clause,[],[f9427,f338,f11713]) ).
fof(f11713,plain,
( spl32_414
<=> smndt0(smndt0(sK16)) = sdtasdt0(smndt0(sK16),smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_414])]) ).
fof(f338,plain,
( spl32_18
<=> aElement0(sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_18])]) ).
fof(f9427,plain,
( smndt0(smndt0(sK16)) = sdtasdt0(smndt0(sK16),smndt0(sz10))
| ~ spl32_18 ),
inference(resolution,[],[f1171,f340]) ).
fof(f340,plain,
( aElement0(sK16)
| ~ spl32_18 ),
inference(avatar_component_clause,[],[f338]) ).
fof(f11711,plain,
( spl32_413
| ~ spl32_12 ),
inference(avatar_split_clause,[],[f9317,f291,f11708]) ).
fof(f11708,plain,
( spl32_413
<=> smndt0(smndt0(sK17)) = sdtasdt0(smndt0(sz10),smndt0(sK17)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_413])]) ).
fof(f9317,plain,
( smndt0(smndt0(sK17)) = sdtasdt0(smndt0(sz10),smndt0(sK17))
| ~ spl32_12 ),
inference(resolution,[],[f1092,f293]) ).
fof(f11706,plain,
( spl32_412
| ~ spl32_18 ),
inference(avatar_split_clause,[],[f9316,f338,f11703]) ).
fof(f9316,plain,
( smndt0(smndt0(sK16)) = sdtasdt0(smndt0(sz10),smndt0(sK16))
| ~ spl32_18 ),
inference(resolution,[],[f1092,f340]) ).
fof(f11602,plain,
( spl32_411
| ~ spl32_12
| ~ spl32_259 ),
inference(avatar_split_clause,[],[f11416,f7642,f291,f11599]) ).
fof(f11599,plain,
( spl32_411
<=> sz00 = sdtasdt0(sz00,sdtpldt0(sK17,sK19(sz00))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_411])]) ).
fof(f7642,plain,
( spl32_259
<=> aElement0(sK19(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_259])]) ).
fof(f11416,plain,
( sz00 = sdtasdt0(sz00,sdtpldt0(sK17,sK19(sz00)))
| ~ spl32_12
| ~ spl32_259 ),
inference(resolution,[],[f9226,f7644]) ).
fof(f7644,plain,
( aElement0(sK19(sz00))
| ~ spl32_259 ),
inference(avatar_component_clause,[],[f7642]) ).
fof(f9226,plain,
( ! [X48] :
( ~ aElement0(X48)
| sz00 = sdtasdt0(sz00,sdtpldt0(sK17,X48)) )
| ~ spl32_12 ),
inference(resolution,[],[f910,f293]) ).
fof(f11597,plain,
( spl32_410
| ~ spl32_12
| ~ spl32_173 ),
inference(avatar_split_clause,[],[f11394,f3131,f291,f11594]) ).
fof(f11594,plain,
( spl32_410
<=> sz00 = sdtasdt0(sz00,sdtpldt0(sK17,smndt0(sK16))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_410])]) ).
fof(f11394,plain,
( sz00 = sdtasdt0(sz00,sdtpldt0(sK17,smndt0(sK16)))
| ~ spl32_12
| ~ spl32_173 ),
inference(resolution,[],[f9226,f3133]) ).
fof(f11592,plain,
( spl32_409
| ~ spl32_12
| ~ spl32_120 ),
inference(avatar_split_clause,[],[f11393,f1497,f291,f11589]) ).
fof(f11589,plain,
( spl32_409
<=> sz00 = sdtasdt0(sz00,sdtpldt0(sK17,smndt0(sz10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_409])]) ).
fof(f11393,plain,
( sz00 = sdtasdt0(sz00,sdtpldt0(sK17,smndt0(sz10)))
| ~ spl32_12
| ~ spl32_120 ),
inference(resolution,[],[f9226,f1498]) ).
fof(f11573,plain,
( spl32_408
| ~ spl32_12
| ~ spl32_248 ),
inference(avatar_split_clause,[],[f11426,f7257,f291,f11570]) ).
fof(f11570,plain,
( spl32_408
<=> sz00 = sdtasdt0(sz00,sdtpldt0(sK17,sK20(sz00))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_408])]) ).
fof(f7257,plain,
( spl32_248
<=> aElement0(sK20(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_248])]) ).
fof(f11426,plain,
( sz00 = sdtasdt0(sz00,sdtpldt0(sK17,sK20(sz00)))
| ~ spl32_12
| ~ spl32_248 ),
inference(resolution,[],[f9226,f7259]) ).
fof(f7259,plain,
( aElement0(sK20(sz00))
| ~ spl32_248 ),
inference(avatar_component_clause,[],[f7257]) ).
fof(f11548,plain,
( spl32_407
| ~ spl32_12
| ~ spl32_22 ),
inference(avatar_split_clause,[],[f11428,f358,f291,f11545]) ).
fof(f11545,plain,
( spl32_407
<=> sz00 = sdtasdt0(sz00,sdtpldt0(sK17,sK20(sK16))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_407])]) ).
fof(f11428,plain,
( sz00 = sdtasdt0(sz00,sdtpldt0(sK17,sK20(sK16)))
| ~ spl32_12
| ~ spl32_22 ),
inference(resolution,[],[f9226,f360]) ).
fof(f11476,plain,
( spl32_406
| ~ spl32_12
| ~ spl32_20 ),
inference(avatar_split_clause,[],[f11418,f348,f291,f11473]) ).
fof(f11473,plain,
( spl32_406
<=> sz00 = sdtasdt0(sz00,sdtpldt0(sK17,sK19(sK16))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_406])]) ).
fof(f11418,plain,
( sz00 = sdtasdt0(sz00,sdtpldt0(sK17,sK19(sK16)))
| ~ spl32_12
| ~ spl32_20 ),
inference(resolution,[],[f9226,f350]) ).
fof(f11451,plain,
( spl32_405
| ~ spl32_5
| ~ spl32_12
| ~ spl32_194 ),
inference(avatar_split_clause,[],[f11439,f4544,f291,f255,f11448]) ).
fof(f11448,plain,
( spl32_405
<=> sz00 = sdtasdt0(sz00,sdtpldt0(sz10,sK17)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_405])]) ).
fof(f4544,plain,
( spl32_194
<=> sdtpldt0(sz10,sK17) = sdtpldt0(sK17,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_194])]) ).
fof(f11439,plain,
( sz00 = sdtasdt0(sz00,sdtpldt0(sz10,sK17))
| ~ spl32_5
| ~ spl32_12
| ~ spl32_194 ),
inference(forward_demodulation,[],[f11391,f4546]) ).
fof(f4546,plain,
( sdtpldt0(sz10,sK17) = sdtpldt0(sK17,sz10)
| ~ spl32_194 ),
inference(avatar_component_clause,[],[f4544]) ).
fof(f11391,plain,
( sz00 = sdtasdt0(sz00,sdtpldt0(sK17,sz10))
| ~ spl32_5
| ~ spl32_12 ),
inference(resolution,[],[f9226,f257]) ).
fof(f11446,plain,
( spl32_404
| ~ spl32_12 ),
inference(avatar_split_clause,[],[f11413,f291,f11443]) ).
fof(f11443,plain,
( spl32_404
<=> sz00 = sdtasdt0(sz00,sdtpldt0(sK17,sK17)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_404])]) ).
fof(f11413,plain,
( sz00 = sdtasdt0(sz00,sdtpldt0(sK17,sK17))
| ~ spl32_12 ),
inference(resolution,[],[f9226,f293]) ).
fof(f11369,plain,
( spl32_403
| ~ spl32_18
| ~ spl32_259 ),
inference(avatar_split_clause,[],[f11011,f7642,f338,f11366]) ).
fof(f11366,plain,
( spl32_403
<=> sz00 = sdtasdt0(sz00,sdtpldt0(sK16,sK19(sz00))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_403])]) ).
fof(f11011,plain,
( sz00 = sdtasdt0(sz00,sdtpldt0(sK16,sK19(sz00)))
| ~ spl32_18
| ~ spl32_259 ),
inference(resolution,[],[f9225,f7644]) ).
fof(f9225,plain,
( ! [X47] :
( ~ aElement0(X47)
| sz00 = sdtasdt0(sz00,sdtpldt0(sK16,X47)) )
| ~ spl32_18 ),
inference(resolution,[],[f910,f340]) ).
fof(f11364,plain,
( spl32_402
| ~ spl32_18
| ~ spl32_120 ),
inference(avatar_split_clause,[],[f10990,f1497,f338,f11361]) ).
fof(f11361,plain,
( spl32_402
<=> sz00 = sdtasdt0(sz00,sdtpldt0(sK16,smndt0(sz10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_402])]) ).
fof(f10990,plain,
( sz00 = sdtasdt0(sz00,sdtpldt0(sK16,smndt0(sz10)))
| ~ spl32_18
| ~ spl32_120 ),
inference(resolution,[],[f9225,f1498]) ).
fof(f11289,plain,
( spl32_401
| ~ spl32_18
| ~ spl32_248 ),
inference(avatar_split_clause,[],[f11021,f7257,f338,f11286]) ).
fof(f11286,plain,
( spl32_401
<=> sz00 = sdtasdt0(sz00,sdtpldt0(sK16,sK20(sz00))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_401])]) ).
fof(f11021,plain,
( sz00 = sdtasdt0(sz00,sdtpldt0(sK16,sK20(sz00)))
| ~ spl32_18
| ~ spl32_248 ),
inference(resolution,[],[f9225,f7259]) ).
fof(f11284,plain,
( spl32_400
| ~ spl32_18
| ~ spl32_139 ),
inference(avatar_split_clause,[],[f10992,f1864,f338,f11281]) ).
fof(f11281,plain,
( spl32_400
<=> sz00 = sdtasdt0(sz00,sdtpldt0(sK16,smndt0(sK17))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_400])]) ).
fof(f1864,plain,
( spl32_139
<=> aElement0(smndt0(sK17)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_139])]) ).
fof(f10992,plain,
( sz00 = sdtasdt0(sz00,sdtpldt0(sK16,smndt0(sK17)))
| ~ spl32_18
| ~ spl32_139 ),
inference(resolution,[],[f9225,f1866]) ).
fof(f1866,plain,
( aElement0(smndt0(sK17))
| ~ spl32_139 ),
inference(avatar_component_clause,[],[f1864]) ).
fof(f11240,plain,
( spl32_399
| ~ spl32_394 ),
inference(avatar_split_clause,[],[f11095,f11088,f11237]) ).
fof(f11237,plain,
( spl32_399
<=> sz00 = sdtasdt0(sz00,sK23(sdtpldt1(xI,xJ))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_399])]) ).
fof(f11088,plain,
( spl32_394
<=> aElement0(sK23(sdtpldt1(xI,xJ))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_394])]) ).
fof(f11095,plain,
( sz00 = sdtasdt0(sz00,sK23(sdtpldt1(xI,xJ)))
| ~ spl32_394 ),
inference(resolution,[],[f11090,f181]) ).
fof(f11090,plain,
( aElement0(sK23(sdtpldt1(xI,xJ)))
| ~ spl32_394 ),
inference(avatar_component_clause,[],[f11088]) ).
fof(f11188,plain,
( spl32_398
| ~ spl32_394 ),
inference(avatar_split_clause,[],[f11094,f11088,f11185]) ).
fof(f11185,plain,
( spl32_398
<=> sz00 = sdtasdt0(sK23(sdtpldt1(xI,xJ)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_398])]) ).
fof(f11094,plain,
( sz00 = sdtasdt0(sK23(sdtpldt1(xI,xJ)),sz00)
| ~ spl32_394 ),
inference(resolution,[],[f11090,f180]) ).
fof(f11183,plain,
( spl32_397
| ~ spl32_18
| ~ spl32_22 ),
inference(avatar_split_clause,[],[f11023,f358,f338,f11180]) ).
fof(f11180,plain,
( spl32_397
<=> sz00 = sdtasdt0(sz00,sdtpldt0(sK16,sK20(sK16))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_397])]) ).
fof(f11023,plain,
( sz00 = sdtasdt0(sz00,sdtpldt0(sK16,sK20(sK16)))
| ~ spl32_18
| ~ spl32_22 ),
inference(resolution,[],[f9225,f360]) ).
fof(f11178,plain,
( spl32_396
| ~ spl32_18
| ~ spl32_20 ),
inference(avatar_split_clause,[],[f11013,f348,f338,f11175]) ).
fof(f11175,plain,
( spl32_396
<=> sz00 = sdtasdt0(sz00,sdtpldt0(sK16,sK19(sK16))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_396])]) ).
fof(f11013,plain,
( sz00 = sdtasdt0(sz00,sdtpldt0(sK16,sK19(sK16)))
| ~ spl32_18
| ~ spl32_20 ),
inference(resolution,[],[f9225,f350]) ).
fof(f11165,plain,
( spl32_395
| ~ spl32_72
| ~ spl32_73
| ~ spl32_377 ),
inference(avatar_split_clause,[],[f11086,f10585,f810,f805,f11162]) ).
fof(f11162,plain,
( spl32_395
<=> aElementOf0(sK23(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_395])]) ).
fof(f805,plain,
( spl32_72
<=> aElementOf0(sK20(sK23(sdtpldt1(xI,xJ))),xJ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_72])]) ).
fof(f810,plain,
( spl32_73
<=> aElementOf0(sK19(sK23(sdtpldt1(xI,xJ))),xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_73])]) ).
fof(f10585,plain,
( spl32_377
<=> sK23(sdtpldt1(xI,xJ)) = sdtpldt0(sK19(sK23(sdtpldt1(xI,xJ))),sK20(sK23(sdtpldt1(xI,xJ)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_377])]) ).
fof(f11086,plain,
( aElementOf0(sK23(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ))
| ~ spl32_72
| ~ spl32_73
| ~ spl32_377 ),
inference(subsumption_resolution,[],[f11085,f812]) ).
fof(f812,plain,
( aElementOf0(sK19(sK23(sdtpldt1(xI,xJ))),xI)
| ~ spl32_73 ),
inference(avatar_component_clause,[],[f810]) ).
fof(f11085,plain,
( aElementOf0(sK23(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ))
| ~ aElementOf0(sK19(sK23(sdtpldt1(xI,xJ))),xI)
| ~ spl32_72
| ~ spl32_377 ),
inference(subsumption_resolution,[],[f11072,f807]) ).
fof(f807,plain,
( aElementOf0(sK20(sK23(sdtpldt1(xI,xJ))),xJ)
| ~ spl32_72 ),
inference(avatar_component_clause,[],[f805]) ).
fof(f11072,plain,
( aElementOf0(sK23(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ))
| ~ aElementOf0(sK20(sK23(sdtpldt1(xI,xJ))),xJ)
| ~ aElementOf0(sK19(sK23(sdtpldt1(xI,xJ))),xI)
| ~ spl32_377 ),
inference(superposition,[],[f2310,f10587]) ).
fof(f10587,plain,
( sK23(sdtpldt1(xI,xJ)) = sdtpldt0(sK19(sK23(sdtpldt1(xI,xJ))),sK20(sK23(sdtpldt1(xI,xJ))))
| ~ spl32_377 ),
inference(avatar_component_clause,[],[f10585]) ).
fof(f11093,plain,
( spl32_394
| ~ spl32_3
| ~ spl32_72
| ~ spl32_74
| ~ spl32_75
| ~ spl32_377 ),
inference(avatar_split_clause,[],[f11084,f10585,f833,f818,f805,f245,f11088]) ).
fof(f818,plain,
( spl32_74
<=> aElement0(sK20(sK23(sdtpldt1(xI,xJ)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_74])]) ).
fof(f833,plain,
( spl32_75
<=> aElement0(sK19(sK23(sdtpldt1(xI,xJ)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_75])]) ).
fof(f11084,plain,
( aElement0(sK23(sdtpldt1(xI,xJ)))
| ~ spl32_3
| ~ spl32_72
| ~ spl32_74
| ~ spl32_75
| ~ spl32_377 ),
inference(global_subsumption,[],[f11083,f165,f164,f163,f167,f170,f171,f174,f175,f176,f177,f156,f166,f161,f196,f179,f162,f206,f157,f158,f178,f180,f181,f182,f183,f184,f185,f213,f146,f147,f149,f150,f186,f187,f197,f198,f199,f820,f824,f825,f826,f827,f828,f829,f835,f839,f840,f841,f842,f843,f844,f225,f847,f848,f849,f850,f851,f852,f226,f911,f912,f913,f914,f915,f916,f822,f823,f142,f837,f838,f794,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f144,f369,f1029,f1030,f1031,f1039,f1041,f1042,f188,f1093,f1094,f1102,f1105,f1107,f189,f1172,f1173,f1181,f1184,f1186,f159,f169,f173,f130,f131,f191,f1544,f207,f208,f168,f172,f139,f140,f190,f1927,f222,f227,f1972,f1975,f1976,f1984,f1987,f1989,f228,f2129,f2133,f2134,f2142,f2144,f2146,f192,f2170,f2171,f2172,f2173,f204,f205,f155,f2271,f2273,f2274,f160,f143,f145,f209,f214,f215,f223,f134,f135,f148,f151,f193,f132,f194,f224,f229,f133,f137,f138,f218,f3042,f3043,f3044,f3045,f3046,f3047,f3048,f3049,f3050,f3051,f219,f3078,f3079,f3080,f3081,f3082,f3083,f3084,f3085,f3086,f3087,f153,f3163,f3165,f3166,f3167,f3168,f3169,f3170,f154,f3230,f3232,f3233,f3234,f3235,f3236,f3237,f195,f3298,f3299,f200,f3329,f3328,f201,f202,f3400,f203,f230,f3464,f3470,f3471,f3482,f3487,f3488,f231,f3491,f3497,f3498,f3509,f3514,f3515,f210,f3531,f3538,f3524,f3525,f3526,f3527,f3528,f3529,f211,f3557,f3564,f3550,f3551,f3552,f3553,f3554,f3555,f216,f217,f3733,f232,f3771,f3777,f3778,f3788,f3792,f3793,f233,f3853,f3858,f3859,f3869,f3873,f3874,f136,f3875,f152,f3918,f212,f220,f4012,f4013,f4014,f4015,f4016,f4017,f4018,f221,f141,f4085,f2865,f2866,f392,f4946,f4953,f4954,f4966,f4972,f4973,f1969,f421,f5826,f5832,f5835,f5847,f5852,f5853,f455,f5913,f5919,f5922,f5934,f5939,f5940,f505,f5960,f5966,f5969,f5981,f5986,f5987,f533,f6092,f6098,f6101,f6113,f6118,f6119,f2196,f6967,f6969,f6970,f6971,f1545,f1546,f2310,f7526,f7527,f7528,f7529,f7530,f7531,f7533,f2681,f8024,f8025,f8026,f8027,f8028,f8029,f8030,f8031,f8032,f8033,f8034,f8035,f8036,f8037,f8038,f8039,f8040,f8041,f8042,f8043,f8044,f8045,f2682,f8163,f8164,f8165,f8166,f8167,f8168,f8169,f8170,f8171,f8172,f8173,f8174,f8175,f8176,f8177,f8178,f8179,f8180,f8181,f8182,f8183,f8184,f702,f8306,f8314,f8317,f8333,f8341,f8342,f8343,f8344,f729,f8448,f8456,f8459,f8476,f8485,f8486,f8487,f8488,f2517,f8544,f8546,f8547,f2704,f2705,f845,f8849,f8857,f8860,f8878,f8888,f8889,f8890,f8891,f846,f8981,f8989,f8992,f9010,f9020,f9021,f9022,f9023,f909,f9108,f9116,f9119,f9137,f9147,f9148,f9149,f9150,f910,f9207,f9215,f9218,f9236,f9246,f9247,f9248,f9249,f1092,f9298,f9306,f9309,f9327,f9337,f9338,f9339,f9340,f1171,f9409,f9417,f9420,f9438,f9448,f9449,f9450,f9451,f1542,f9555,f2861,f2862,f1925,f10037,f2863,f2864,f3530,f10360,f10361,f3556,f10455,f10456,f1928,f1929,f10587,f11064,f11065,f11066,f11080]) ).
fof(f11080,plain,
( aElement0(sK23(sdtpldt1(xI,xJ)))
| ~ spl32_74
| ~ spl32_75
| ~ spl32_377 ),
inference(subsumption_resolution,[],[f11079,f835]) ).
fof(f11079,plain,
( aElement0(sK23(sdtpldt1(xI,xJ)))
| ~ aElement0(sK19(sK23(sdtpldt1(xI,xJ))))
| ~ spl32_74
| ~ spl32_377 ),
inference(subsumption_resolution,[],[f11067,f820]) ).
fof(f11067,plain,
( aElement0(sK23(sdtpldt1(xI,xJ)))
| ~ aElement0(sK20(sK23(sdtpldt1(xI,xJ))))
| ~ aElement0(sK19(sK23(sdtpldt1(xI,xJ))))
| ~ spl32_377 ),
inference(superposition,[],[f226,f10587]) ).
fof(f11066,plain,
( ! [X11,X12,X13] :
( sK23(sdtpldt1(xI,xJ)) != sK27(X11,X12,X13)
| sP7(X11,X12,X13)
| ~ aElementOf0(sK20(sK23(sdtpldt1(xI,xJ))),X11)
| ~ aElementOf0(sK19(sK23(sdtpldt1(xI,xJ))),X12)
| ~ aElementOf0(sK27(X11,X12,X13),X13) )
| ~ spl32_377 ),
inference(superposition,[],[f221,f10587]) ).
fof(f11065,plain,
( ! [X10,X8,X9,X7] :
( sK23(sdtpldt1(xI,xJ)) != X7
| aElementOf0(X7,X8)
| ~ aElementOf0(sK20(sK23(sdtpldt1(xI,xJ))),X9)
| ~ aElementOf0(sK19(sK23(sdtpldt1(xI,xJ))),X10)
| ~ sP7(X9,X10,X8) )
| ~ spl32_377 ),
inference(superposition,[],[f217,f10587]) ).
fof(f11064,plain,
( ! [X6] :
( aElementOf0(sK23(sdtpldt1(xI,xJ)),X6)
| ~ aElementOf0(sK20(sK23(sdtpldt1(xI,xJ))),X6)
| ~ sP4(X6,sK19(sK23(sdtpldt1(xI,xJ)))) )
| ~ spl32_377 ),
inference(superposition,[],[f190,f10587]) ).
fof(f9448,plain,
( smndt0(smndt0(sK20(sK23(sdtpldt1(xI,xJ))))) = sdtasdt0(smndt0(sK20(sK23(sdtpldt1(xI,xJ)))),smndt0(sz10))
| ~ spl32_74 ),
inference(resolution,[],[f1171,f820]) ).
fof(f9438,plain,
( smndt0(smndt0(sK19(sK23(sdtpldt1(xI,xJ))))) = sdtasdt0(smndt0(sK19(sK23(sdtpldt1(xI,xJ)))),smndt0(sz10))
| ~ spl32_75 ),
inference(resolution,[],[f1171,f835]) ).
fof(f9337,plain,
( smndt0(smndt0(sK20(sK23(sdtpldt1(xI,xJ))))) = sdtasdt0(smndt0(sz10),smndt0(sK20(sK23(sdtpldt1(xI,xJ)))))
| ~ spl32_74 ),
inference(resolution,[],[f1092,f820]) ).
fof(f9327,plain,
( smndt0(smndt0(sK19(sK23(sdtpldt1(xI,xJ))))) = sdtasdt0(smndt0(sz10),smndt0(sK19(sK23(sdtpldt1(xI,xJ)))))
| ~ spl32_75 ),
inference(resolution,[],[f1092,f835]) ).
fof(f9246,plain,
( ! [X72] :
( ~ aElement0(X72)
| sz00 = sdtasdt0(sz00,sdtpldt0(sK20(sK23(sdtpldt1(xI,xJ))),X72)) )
| ~ spl32_74 ),
inference(resolution,[],[f910,f820]) ).
fof(f9236,plain,
( ! [X60] :
( ~ aElement0(X60)
| sz00 = sdtasdt0(sz00,sdtpldt0(sK19(sK23(sdtpldt1(xI,xJ))),X60)) )
| ~ spl32_75 ),
inference(resolution,[],[f910,f835]) ).
fof(f9147,plain,
( ! [X72] :
( ~ aElement0(X72)
| sz00 = sdtasdt0(sdtpldt0(sK20(sK23(sdtpldt1(xI,xJ))),X72),sz00) )
| ~ spl32_74 ),
inference(resolution,[],[f909,f820]) ).
fof(f9137,plain,
( ! [X60] :
( ~ aElement0(X60)
| sz00 = sdtasdt0(sdtpldt0(sK19(sK23(sdtpldt1(xI,xJ))),X60),sz00) )
| ~ spl32_75 ),
inference(resolution,[],[f909,f835]) ).
fof(f9020,plain,
( ! [X72] :
( ~ aElement0(X72)
| sz00 = sdtasdt0(sz00,sdtasdt0(sK20(sK23(sdtpldt1(xI,xJ))),X72)) )
| ~ spl32_74 ),
inference(resolution,[],[f846,f820]) ).
fof(f9010,plain,
( ! [X60] :
( ~ aElement0(X60)
| sz00 = sdtasdt0(sz00,sdtasdt0(sK19(sK23(sdtpldt1(xI,xJ))),X60)) )
| ~ spl32_75 ),
inference(resolution,[],[f846,f835]) ).
fof(f8888,plain,
( ! [X72] :
( ~ aElement0(X72)
| sz00 = sdtasdt0(sdtasdt0(sK20(sK23(sdtpldt1(xI,xJ))),X72),sz00) )
| ~ spl32_74 ),
inference(resolution,[],[f845,f820]) ).
fof(f8878,plain,
( ! [X60] :
( ~ aElement0(X60)
| sz00 = sdtasdt0(sdtasdt0(sK19(sK23(sdtpldt1(xI,xJ))),X60),sz00) )
| ~ spl32_75 ),
inference(resolution,[],[f845,f835]) ).
fof(f8485,plain,
( sz00 = sdtpldt0(smndt0(smndt0(sK20(sK23(sdtpldt1(xI,xJ))))),smndt0(sK20(sK23(sdtpldt1(xI,xJ)))))
| ~ spl32_74 ),
inference(resolution,[],[f729,f820]) ).
fof(f8476,plain,
( sz00 = sdtpldt0(smndt0(smndt0(sK19(sK23(sdtpldt1(xI,xJ))))),smndt0(sK19(sK23(sdtpldt1(xI,xJ)))))
| ~ spl32_75 ),
inference(resolution,[],[f729,f835]) ).
fof(f8341,plain,
( sz00 = sdtpldt0(smndt0(sK20(sK23(sdtpldt1(xI,xJ)))),smndt0(smndt0(sK20(sK23(sdtpldt1(xI,xJ))))))
| ~ spl32_74 ),
inference(resolution,[],[f702,f820]) ).
fof(f8333,plain,
( sz00 = sdtpldt0(smndt0(sK19(sK23(sdtpldt1(xI,xJ)))),smndt0(smndt0(sK19(sK23(sdtpldt1(xI,xJ))))))
| ~ spl32_75 ),
inference(resolution,[],[f702,f835]) ).
fof(f6118,plain,
( smndt0(sK20(sK23(sdtpldt1(xI,xJ)))) = sdtpldt0(sz00,smndt0(sK20(sK23(sdtpldt1(xI,xJ)))))
| ~ spl32_74 ),
inference(resolution,[],[f533,f820]) ).
fof(f6113,plain,
( smndt0(sK19(sK23(sdtpldt1(xI,xJ)))) = sdtpldt0(sz00,smndt0(sK19(sK23(sdtpldt1(xI,xJ)))))
| ~ spl32_75 ),
inference(resolution,[],[f533,f835]) ).
fof(f5986,plain,
( smndt0(sK20(sK23(sdtpldt1(xI,xJ)))) = sdtpldt0(smndt0(sK20(sK23(sdtpldt1(xI,xJ)))),sz00)
| ~ spl32_74 ),
inference(resolution,[],[f505,f820]) ).
fof(f5981,plain,
( smndt0(sK19(sK23(sdtpldt1(xI,xJ)))) = sdtpldt0(smndt0(sK19(sK23(sdtpldt1(xI,xJ)))),sz00)
| ~ spl32_75 ),
inference(resolution,[],[f505,f835]) ).
fof(f5939,plain,
( smndt0(sK20(sK23(sdtpldt1(xI,xJ)))) = sdtasdt0(sz10,smndt0(sK20(sK23(sdtpldt1(xI,xJ)))))
| ~ spl32_74 ),
inference(resolution,[],[f455,f820]) ).
fof(f5934,plain,
( smndt0(sK19(sK23(sdtpldt1(xI,xJ)))) = sdtasdt0(sz10,smndt0(sK19(sK23(sdtpldt1(xI,xJ)))))
| ~ spl32_75 ),
inference(resolution,[],[f455,f835]) ).
fof(f5852,plain,
( smndt0(sK20(sK23(sdtpldt1(xI,xJ)))) = sdtasdt0(smndt0(sK20(sK23(sdtpldt1(xI,xJ)))),sz10)
| ~ spl32_74 ),
inference(resolution,[],[f421,f820]) ).
fof(f5847,plain,
( smndt0(sK19(sK23(sdtpldt1(xI,xJ)))) = sdtasdt0(smndt0(sK19(sK23(sdtpldt1(xI,xJ)))),sz10)
| ~ spl32_75 ),
inference(resolution,[],[f421,f835]) ).
fof(f4972,plain,
( sz00 = sdtasdt0(sz00,smndt0(sK20(sK23(sdtpldt1(xI,xJ)))))
| ~ spl32_74 ),
inference(resolution,[],[f392,f820]) ).
fof(f4966,plain,
( sz00 = sdtasdt0(sz00,smndt0(sK19(sK23(sdtpldt1(xI,xJ)))))
| ~ spl32_75 ),
inference(resolution,[],[f392,f835]) ).
fof(f3873,plain,
( ! [X62,X61] :
( sdtasdt0(sdtpldt0(X61,sK20(sK23(sdtpldt1(xI,xJ)))),X62) = sdtpldt0(sdtasdt0(X61,X62),sdtasdt0(sK20(sK23(sdtpldt1(xI,xJ))),X62))
| ~ aElement0(X61)
| ~ aElement0(X62) )
| ~ spl32_74 ),
inference(resolution,[],[f233,f820]) ).
fof(f3869,plain,
( ! [X51,X52] :
( sdtasdt0(sdtpldt0(X51,sK19(sK23(sdtpldt1(xI,xJ)))),X52) = sdtpldt0(sdtasdt0(X51,X52),sdtasdt0(sK19(sK23(sdtpldt1(xI,xJ))),X52))
| ~ aElement0(X51)
| ~ aElement0(X52) )
| ~ spl32_75 ),
inference(resolution,[],[f233,f835]) ).
fof(f3792,plain,
( ! [X63,X64] :
( sdtasdt0(X63,sdtpldt0(X64,sK20(sK23(sdtpldt1(xI,xJ))))) = sdtpldt0(sdtasdt0(X63,X64),sdtasdt0(X63,sK20(sK23(sdtpldt1(xI,xJ)))))
| ~ aElement0(X64)
| ~ aElement0(X63) )
| ~ spl32_74 ),
inference(resolution,[],[f232,f820]) ).
fof(f3788,plain,
( ! [X54,X53] :
( sdtasdt0(X53,sdtpldt0(X54,sK19(sK23(sdtpldt1(xI,xJ))))) = sdtpldt0(sdtasdt0(X53,X54),sdtasdt0(X53,sK19(sK23(sdtpldt1(xI,xJ)))))
| ~ aElement0(X54)
| ~ aElement0(X53) )
| ~ spl32_75 ),
inference(resolution,[],[f232,f835]) ).
fof(f3514,plain,
( ! [X68,X67] :
( sdtpldt0(sdtpldt0(X67,X68),sK20(sK23(sdtpldt1(xI,xJ)))) = sdtpldt0(X67,sdtpldt0(X68,sK20(sK23(sdtpldt1(xI,xJ)))))
| ~ aElement0(X68)
| ~ aElement0(X67) )
| ~ spl32_74 ),
inference(resolution,[],[f231,f820]) ).
fof(f3509,plain,
( ! [X56,X55] :
( sdtpldt0(sdtpldt0(X55,X56),sK19(sK23(sdtpldt1(xI,xJ)))) = sdtpldt0(X55,sdtpldt0(X56,sK19(sK23(sdtpldt1(xI,xJ)))))
| ~ aElement0(X56)
| ~ aElement0(X55) )
| ~ spl32_75 ),
inference(resolution,[],[f231,f835]) ).
fof(f3487,plain,
( ! [X68,X67] :
( sdtasdt0(sdtasdt0(X67,X68),sK20(sK23(sdtpldt1(xI,xJ)))) = sdtasdt0(X67,sdtasdt0(X68,sK20(sK23(sdtpldt1(xI,xJ)))))
| ~ aElement0(X68)
| ~ aElement0(X67) )
| ~ spl32_74 ),
inference(resolution,[],[f230,f820]) ).
fof(f3482,plain,
( ! [X56,X55] :
( sdtasdt0(sdtasdt0(X55,X56),sK19(sK23(sdtpldt1(xI,xJ)))) = sdtasdt0(X55,sdtasdt0(X56,sK19(sK23(sdtpldt1(xI,xJ)))))
| ~ aElement0(X56)
| ~ aElement0(X55) )
| ~ spl32_75 ),
inference(resolution,[],[f230,f835]) ).
fof(f2144,plain,
( ! [X30] :
( sdtpldt0(X30,sK20(sK23(sdtpldt1(xI,xJ)))) = sdtpldt0(sK20(sK23(sdtpldt1(xI,xJ))),X30)
| ~ aElement0(X30) )
| ~ spl32_74 ),
inference(resolution,[],[f228,f820]) ).
fof(f2142,plain,
( ! [X28] :
( sdtpldt0(X28,sK19(sK23(sdtpldt1(xI,xJ)))) = sdtpldt0(sK19(sK23(sdtpldt1(xI,xJ))),X28)
| ~ aElement0(X28) )
| ~ spl32_75 ),
inference(resolution,[],[f228,f835]) ).
fof(f1987,plain,
( ! [X30] :
( sdtasdt0(X30,sK20(sK23(sdtpldt1(xI,xJ)))) = sdtasdt0(sK20(sK23(sdtpldt1(xI,xJ))),X30)
| ~ aElement0(X30) )
| ~ spl32_74 ),
inference(resolution,[],[f227,f820]) ).
fof(f1984,plain,
( ! [X27] :
( sdtasdt0(X27,sK19(sK23(sdtpldt1(xI,xJ)))) = sdtasdt0(sK19(sK23(sdtpldt1(xI,xJ))),X27)
| ~ aElement0(X27) )
| ~ spl32_75 ),
inference(resolution,[],[f227,f835]) ).
fof(f1184,plain,
( smndt0(sK20(sK23(sdtpldt1(xI,xJ)))) = sdtasdt0(sK20(sK23(sdtpldt1(xI,xJ))),smndt0(sz10))
| ~ spl32_74 ),
inference(resolution,[],[f189,f820]) ).
fof(f1181,plain,
( smndt0(sK19(sK23(sdtpldt1(xI,xJ)))) = sdtasdt0(sK19(sK23(sdtpldt1(xI,xJ))),smndt0(sz10))
| ~ spl32_75 ),
inference(resolution,[],[f189,f835]) ).
fof(f1105,plain,
( smndt0(sK20(sK23(sdtpldt1(xI,xJ)))) = sdtasdt0(smndt0(sz10),sK20(sK23(sdtpldt1(xI,xJ))))
| ~ spl32_74 ),
inference(resolution,[],[f188,f820]) ).
fof(f1102,plain,
( smndt0(sK19(sK23(sdtpldt1(xI,xJ)))) = sdtasdt0(smndt0(sz10),sK19(sK23(sdtpldt1(xI,xJ))))
| ~ spl32_75 ),
inference(resolution,[],[f188,f835]) ).
fof(f1041,plain,
( sz00 = sdtasdt0(smndt0(sK20(sK23(sdtpldt1(xI,xJ)))),sz00)
| ~ spl32_74 ),
inference(resolution,[],[f369,f820]) ).
fof(f1039,plain,
( sz00 = sdtasdt0(smndt0(sK19(sK23(sdtpldt1(xI,xJ)))),sz00)
| ~ spl32_75 ),
inference(resolution,[],[f369,f835]) ).
fof(f838,plain,
( sz00 = sdtasdt0(sz00,sK19(sK23(sdtpldt1(xI,xJ))))
| ~ spl32_75 ),
inference(resolution,[],[f835,f181]) ).
fof(f837,plain,
( sz00 = sdtasdt0(sK19(sK23(sdtpldt1(xI,xJ))),sz00)
| ~ spl32_75 ),
inference(resolution,[],[f835,f180]) ).
fof(f823,plain,
( sz00 = sdtasdt0(sz00,sK20(sK23(sdtpldt1(xI,xJ))))
| ~ spl32_74 ),
inference(resolution,[],[f820,f181]) ).
fof(f822,plain,
( sz00 = sdtasdt0(sK20(sK23(sdtpldt1(xI,xJ))),sz00)
| ~ spl32_74 ),
inference(resolution,[],[f820,f180]) ).
fof(f844,plain,
( sz00 = sdtpldt0(smndt0(sK19(sK23(sdtpldt1(xI,xJ)))),sK19(sK23(sdtpldt1(xI,xJ))))
| ~ spl32_75 ),
inference(resolution,[],[f835,f187]) ).
fof(f843,plain,
( sz00 = sdtpldt0(sK19(sK23(sdtpldt1(xI,xJ))),smndt0(sK19(sK23(sdtpldt1(xI,xJ)))))
| ~ spl32_75 ),
inference(resolution,[],[f835,f186]) ).
fof(f842,plain,
( sK19(sK23(sdtpldt1(xI,xJ))) = sdtpldt0(sz00,sK19(sK23(sdtpldt1(xI,xJ))))
| ~ spl32_75 ),
inference(resolution,[],[f835,f185]) ).
fof(f841,plain,
( sK19(sK23(sdtpldt1(xI,xJ))) = sdtpldt0(sK19(sK23(sdtpldt1(xI,xJ))),sz00)
| ~ spl32_75 ),
inference(resolution,[],[f835,f184]) ).
fof(f840,plain,
( sK19(sK23(sdtpldt1(xI,xJ))) = sdtasdt0(sz10,sK19(sK23(sdtpldt1(xI,xJ))))
| ~ spl32_75 ),
inference(resolution,[],[f835,f183]) ).
fof(f839,plain,
( sK19(sK23(sdtpldt1(xI,xJ))) = sdtasdt0(sK19(sK23(sdtpldt1(xI,xJ))),sz10)
| ~ spl32_75 ),
inference(resolution,[],[f835,f182]) ).
fof(f835,plain,
( aElement0(sK19(sK23(sdtpldt1(xI,xJ))))
| ~ spl32_75 ),
inference(avatar_component_clause,[],[f833]) ).
fof(f829,plain,
( sz00 = sdtpldt0(smndt0(sK20(sK23(sdtpldt1(xI,xJ)))),sK20(sK23(sdtpldt1(xI,xJ))))
| ~ spl32_74 ),
inference(resolution,[],[f820,f187]) ).
fof(f828,plain,
( sz00 = sdtpldt0(sK20(sK23(sdtpldt1(xI,xJ))),smndt0(sK20(sK23(sdtpldt1(xI,xJ)))))
| ~ spl32_74 ),
inference(resolution,[],[f820,f186]) ).
fof(f827,plain,
( sK20(sK23(sdtpldt1(xI,xJ))) = sdtpldt0(sz00,sK20(sK23(sdtpldt1(xI,xJ))))
| ~ spl32_74 ),
inference(resolution,[],[f820,f185]) ).
fof(f826,plain,
( sK20(sK23(sdtpldt1(xI,xJ))) = sdtpldt0(sK20(sK23(sdtpldt1(xI,xJ))),sz00)
| ~ spl32_74 ),
inference(resolution,[],[f820,f184]) ).
fof(f825,plain,
( sK20(sK23(sdtpldt1(xI,xJ))) = sdtasdt0(sz10,sK20(sK23(sdtpldt1(xI,xJ))))
| ~ spl32_74 ),
inference(resolution,[],[f820,f183]) ).
fof(f824,plain,
( sK20(sK23(sdtpldt1(xI,xJ))) = sdtasdt0(sK20(sK23(sdtpldt1(xI,xJ))),sz10)
| ~ spl32_74 ),
inference(resolution,[],[f820,f182]) ).
fof(f820,plain,
( aElement0(sK20(sK23(sdtpldt1(xI,xJ))))
| ~ spl32_74 ),
inference(avatar_component_clause,[],[f818]) ).
fof(f11083,plain,
( aElement0(sK23(sdtpldt1(xI,xJ)))
| ~ aElementOf0(sK19(sK23(sdtpldt1(xI,xJ))),xJ)
| ~ spl32_3
| ~ spl32_72
| ~ spl32_377 ),
inference(subsumption_resolution,[],[f11069,f807]) ).
fof(f11069,plain,
( aElement0(sK23(sdtpldt1(xI,xJ)))
| ~ aElementOf0(sK19(sK23(sdtpldt1(xI,xJ))),xJ)
| ~ aElementOf0(sK20(sK23(sdtpldt1(xI,xJ))),xJ)
| ~ spl32_3
| ~ spl32_377 ),
inference(superposition,[],[f1834,f10587]) ).
fof(f1834,plain,
( ! [X0,X1] :
( aElement0(sdtpldt0(X1,X0))
| ~ aElementOf0(X1,xJ)
| ~ aElementOf0(X0,xJ) )
| ~ spl32_3 ),
inference(subsumption_resolution,[],[f1801,f247]) ).
fof(f1801,plain,
! [X0,X1] :
( ~ aElementOf0(X0,xJ)
| ~ aElementOf0(X1,xJ)
| aElement0(sdtpldt0(X1,X0))
| ~ aSet0(xJ) ),
inference(resolution,[],[f172,f178]) ).
fof(f11092,plain,
( spl32_394
| ~ spl32_1
| ~ spl32_73
| ~ spl32_74
| ~ spl32_75
| ~ spl32_377 ),
inference(avatar_split_clause,[],[f11082,f10585,f833,f818,f810,f235,f11088]) ).
fof(f11082,plain,
( aElement0(sK23(sdtpldt1(xI,xJ)))
| ~ spl32_1
| ~ spl32_73
| ~ spl32_74
| ~ spl32_75
| ~ spl32_377 ),
inference(global_subsumption,[],[f11081,f165,f164,f163,f167,f170,f171,f174,f175,f176,f177,f156,f166,f161,f196,f179,f162,f206,f157,f158,f178,f180,f181,f182,f183,f184,f185,f213,f146,f147,f149,f150,f186,f187,f197,f198,f199,f820,f824,f825,f826,f827,f828,f829,f835,f839,f840,f841,f842,f843,f844,f225,f847,f848,f849,f850,f851,f852,f226,f911,f912,f913,f914,f915,f916,f822,f823,f142,f837,f838,f794,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f144,f369,f1029,f1030,f1031,f1039,f1041,f1042,f188,f1093,f1094,f1102,f1105,f1107,f189,f1172,f1173,f1181,f1184,f1186,f159,f169,f173,f130,f131,f191,f1544,f207,f208,f168,f172,f139,f140,f190,f1927,f222,f227,f1972,f1975,f1976,f1984,f1987,f1989,f228,f2129,f2133,f2134,f2142,f2144,f2146,f192,f2170,f2171,f2172,f2173,f204,f205,f155,f2271,f2273,f2274,f160,f143,f145,f209,f214,f215,f223,f134,f135,f148,f151,f193,f132,f194,f224,f229,f133,f137,f138,f218,f3042,f3043,f3044,f3045,f3046,f3047,f3048,f3049,f3050,f3051,f219,f3078,f3079,f3080,f3081,f3082,f3083,f3084,f3085,f3086,f3087,f153,f3163,f3165,f3166,f3167,f3168,f3169,f3170,f154,f3230,f3232,f3233,f3234,f3235,f3236,f3237,f195,f3298,f3299,f200,f3329,f3328,f201,f202,f3400,f203,f230,f3464,f3470,f3471,f3482,f3487,f3488,f231,f3491,f3497,f3498,f3509,f3514,f3515,f210,f3531,f3538,f3524,f3525,f3526,f3527,f3528,f3529,f211,f3557,f3564,f3550,f3551,f3552,f3553,f3554,f3555,f216,f217,f3733,f232,f3771,f3777,f3778,f3788,f3792,f3793,f233,f3853,f3858,f3859,f3869,f3873,f3874,f136,f3875,f152,f3918,f212,f220,f4012,f4013,f4014,f4015,f4016,f4017,f4018,f221,f141,f4085,f2865,f2866,f392,f4946,f4953,f4954,f4966,f4972,f4973,f1969,f421,f5826,f5832,f5835,f5847,f5852,f5853,f455,f5913,f5919,f5922,f5934,f5939,f5940,f505,f5960,f5966,f5969,f5981,f5986,f5987,f533,f6092,f6098,f6101,f6113,f6118,f6119,f2196,f6967,f6969,f6970,f6971,f1545,f1546,f2310,f7526,f7527,f7528,f7529,f7530,f7531,f7533,f2681,f8024,f8025,f8026,f8027,f8028,f8029,f8030,f8031,f8032,f8033,f8034,f8035,f8036,f8037,f8038,f8039,f8040,f8041,f8042,f8043,f8044,f8045,f2682,f8163,f8164,f8165,f8166,f8167,f8168,f8169,f8170,f8171,f8172,f8173,f8174,f8175,f8176,f8177,f8178,f8179,f8180,f8181,f8182,f8183,f8184,f702,f8306,f8314,f8317,f8333,f8341,f8342,f8343,f8344,f729,f8448,f8456,f8459,f8476,f8485,f8486,f8487,f8488,f2517,f8544,f8546,f8547,f2704,f2705,f845,f8849,f8857,f8860,f8878,f8888,f8889,f8890,f8891,f846,f8981,f8989,f8992,f9010,f9020,f9021,f9022,f9023,f909,f9108,f9116,f9119,f9137,f9147,f9148,f9149,f9150,f910,f9207,f9215,f9218,f9236,f9246,f9247,f9248,f9249,f1092,f9298,f9306,f9309,f9327,f9337,f9338,f9339,f9340,f1171,f9409,f9417,f9420,f9438,f9448,f9449,f9450,f9451,f1542,f9555,f2861,f2862,f1925,f10037,f2863,f2864,f3530,f10360,f10361,f3556,f10455,f10456,f1928,f1929,f10587,f11064,f11065,f11066,f11080]) ).
fof(f11081,plain,
( aElement0(sK23(sdtpldt1(xI,xJ)))
| ~ aElementOf0(sK20(sK23(sdtpldt1(xI,xJ))),xI)
| ~ spl32_1
| ~ spl32_73
| ~ spl32_377 ),
inference(subsumption_resolution,[],[f11068,f812]) ).
fof(f11068,plain,
( aElement0(sK23(sdtpldt1(xI,xJ)))
| ~ aElementOf0(sK19(sK23(sdtpldt1(xI,xJ))),xI)
| ~ aElementOf0(sK20(sK23(sdtpldt1(xI,xJ))),xI)
| ~ spl32_1
| ~ spl32_377 ),
inference(superposition,[],[f1761,f10587]) ).
fof(f1761,plain,
( ! [X0,X1] :
( aElement0(sdtpldt0(X1,X0))
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) )
| ~ spl32_1 ),
inference(subsumption_resolution,[],[f1728,f237]) ).
fof(f1728,plain,
! [X0,X1] :
( ~ aElementOf0(X0,xI)
| ~ aElementOf0(X1,xI)
| aElement0(sdtpldt0(X1,X0))
| ~ aSet0(xI) ),
inference(resolution,[],[f168,f178]) ).
fof(f11091,plain,
( spl32_394
| ~ spl32_74
| ~ spl32_75
| ~ spl32_377 ),
inference(avatar_split_clause,[],[f11080,f10585,f833,f818,f11088]) ).
fof(f11049,plain,
( spl32_393
| ~ spl32_5
| ~ spl32_18
| ~ spl32_220 ),
inference(avatar_split_clause,[],[f11033,f6086,f338,f255,f11046]) ).
fof(f11046,plain,
( spl32_393
<=> sz00 = sdtasdt0(sz00,sdtpldt0(sz10,sK16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_393])]) ).
fof(f6086,plain,
( spl32_220
<=> sdtpldt0(sz10,sK16) = sdtpldt0(sK16,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_220])]) ).
fof(f11033,plain,
( sz00 = sdtasdt0(sz00,sdtpldt0(sz10,sK16))
| ~ spl32_5
| ~ spl32_18
| ~ spl32_220 ),
inference(forward_demodulation,[],[f10988,f6088]) ).
fof(f6088,plain,
( sdtpldt0(sz10,sK16) = sdtpldt0(sK16,sz10)
| ~ spl32_220 ),
inference(avatar_component_clause,[],[f6086]) ).
fof(f10988,plain,
( sz00 = sdtasdt0(sz00,sdtpldt0(sK16,sz10))
| ~ spl32_5
| ~ spl32_18 ),
inference(resolution,[],[f9225,f257]) ).
fof(f11044,plain,
( spl32_392
| ~ spl32_12
| ~ spl32_18 ),
inference(avatar_split_clause,[],[f11008,f338,f291,f11041]) ).
fof(f11041,plain,
( spl32_392
<=> sz00 = sdtasdt0(sz00,sdtpldt0(sK16,sK17)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_392])]) ).
fof(f11008,plain,
( sz00 = sdtasdt0(sz00,sdtpldt0(sK16,sK17))
| ~ spl32_12
| ~ spl32_18 ),
inference(resolution,[],[f9225,f293]) ).
fof(f11039,plain,
( spl32_391
| ~ spl32_18 ),
inference(avatar_split_clause,[],[f11007,f338,f11036]) ).
fof(f11036,plain,
( spl32_391
<=> sz00 = sdtasdt0(sz00,sdtpldt0(sK16,sK16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_391])]) ).
fof(f11007,plain,
( sz00 = sdtasdt0(sz00,sdtpldt0(sK16,sK16))
| ~ spl32_18 ),
inference(resolution,[],[f9225,f340]) ).
fof(f10959,plain,
( spl32_390
| ~ spl32_12
| ~ spl32_259 ),
inference(avatar_split_clause,[],[f10771,f7642,f291,f10956]) ).
fof(f10956,plain,
( spl32_390
<=> sz00 = sdtasdt0(sdtpldt0(sK17,sK19(sz00)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_390])]) ).
fof(f10771,plain,
( sz00 = sdtasdt0(sdtpldt0(sK17,sK19(sz00)),sz00)
| ~ spl32_12
| ~ spl32_259 ),
inference(resolution,[],[f9127,f7644]) ).
fof(f9127,plain,
( ! [X48] :
( ~ aElement0(X48)
| sz00 = sdtasdt0(sdtpldt0(sK17,X48),sz00) )
| ~ spl32_12 ),
inference(resolution,[],[f909,f293]) ).
fof(f10954,plain,
( spl32_389
| ~ spl32_12
| ~ spl32_173 ),
inference(avatar_split_clause,[],[f10751,f3131,f291,f10951]) ).
fof(f10951,plain,
( spl32_389
<=> sz00 = sdtasdt0(sdtpldt0(sK17,smndt0(sK16)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_389])]) ).
fof(f10751,plain,
( sz00 = sdtasdt0(sdtpldt0(sK17,smndt0(sK16)),sz00)
| ~ spl32_12
| ~ spl32_173 ),
inference(resolution,[],[f9127,f3133]) ).
fof(f10949,plain,
( spl32_388
| ~ spl32_12
| ~ spl32_120 ),
inference(avatar_split_clause,[],[f10750,f1497,f291,f10946]) ).
fof(f10946,plain,
( spl32_388
<=> sz00 = sdtasdt0(sdtpldt0(sK17,smndt0(sz10)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_388])]) ).
fof(f10750,plain,
( sz00 = sdtasdt0(sdtpldt0(sK17,smndt0(sz10)),sz00)
| ~ spl32_12
| ~ spl32_120 ),
inference(resolution,[],[f9127,f1498]) ).
fof(f10856,plain,
( spl32_387
| ~ spl32_12
| ~ spl32_248 ),
inference(avatar_split_clause,[],[f10781,f7257,f291,f10853]) ).
fof(f10853,plain,
( spl32_387
<=> sz00 = sdtasdt0(sdtpldt0(sK17,sK20(sz00)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_387])]) ).
fof(f10781,plain,
( sz00 = sdtasdt0(sdtpldt0(sK17,sK20(sz00)),sz00)
| ~ spl32_12
| ~ spl32_248 ),
inference(resolution,[],[f9127,f7259]) ).
fof(f10833,plain,
( spl32_386
| ~ spl32_12
| ~ spl32_22 ),
inference(avatar_split_clause,[],[f10783,f358,f291,f10830]) ).
fof(f10830,plain,
( spl32_386
<=> sz00 = sdtasdt0(sdtpldt0(sK17,sK20(sK16)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_386])]) ).
fof(f10783,plain,
( sz00 = sdtasdt0(sdtpldt0(sK17,sK20(sK16)),sz00)
| ~ spl32_12
| ~ spl32_22 ),
inference(resolution,[],[f9127,f360]) ).
fof(f10828,plain,
( spl32_385
| ~ spl32_12
| ~ spl32_20 ),
inference(avatar_split_clause,[],[f10773,f348,f291,f10825]) ).
fof(f10825,plain,
( spl32_385
<=> sz00 = sdtasdt0(sdtpldt0(sK17,sK19(sK16)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_385])]) ).
fof(f10773,plain,
( sz00 = sdtasdt0(sdtpldt0(sK17,sK19(sK16)),sz00)
| ~ spl32_12
| ~ spl32_20 ),
inference(resolution,[],[f9127,f350]) ).
fof(f10805,plain,
( spl32_384
| ~ spl32_5
| ~ spl32_12
| ~ spl32_194 ),
inference(avatar_split_clause,[],[f10793,f4544,f291,f255,f10802]) ).
fof(f10802,plain,
( spl32_384
<=> sz00 = sdtasdt0(sdtpldt0(sz10,sK17),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_384])]) ).
fof(f10793,plain,
( sz00 = sdtasdt0(sdtpldt0(sz10,sK17),sz00)
| ~ spl32_5
| ~ spl32_12
| ~ spl32_194 ),
inference(forward_demodulation,[],[f10748,f4546]) ).
fof(f10748,plain,
( sz00 = sdtasdt0(sdtpldt0(sK17,sz10),sz00)
| ~ spl32_5
| ~ spl32_12 ),
inference(resolution,[],[f9127,f257]) ).
fof(f10800,plain,
( spl32_383
| ~ spl32_12 ),
inference(avatar_split_clause,[],[f10768,f291,f10797]) ).
fof(f10797,plain,
( spl32_383
<=> sz00 = sdtasdt0(sdtpldt0(sK17,sK17),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_383])]) ).
fof(f10768,plain,
( sz00 = sdtasdt0(sdtpldt0(sK17,sK17),sz00)
| ~ spl32_12 ),
inference(resolution,[],[f9127,f293]) ).
fof(f10649,plain,
( spl32_382
| ~ spl32_18
| ~ spl32_259 ),
inference(avatar_split_clause,[],[f10513,f7642,f338,f10646]) ).
fof(f10646,plain,
( spl32_382
<=> sz00 = sdtasdt0(sdtpldt0(sK16,sK19(sz00)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_382])]) ).
fof(f10513,plain,
( sz00 = sdtasdt0(sdtpldt0(sK16,sK19(sz00)),sz00)
| ~ spl32_18
| ~ spl32_259 ),
inference(resolution,[],[f9126,f7644]) ).
fof(f9126,plain,
( ! [X47] :
( ~ aElement0(X47)
| sz00 = sdtasdt0(sdtpldt0(sK16,X47),sz00) )
| ~ spl32_18 ),
inference(resolution,[],[f909,f340]) ).
fof(f10644,plain,
( spl32_381
| ~ spl32_18
| ~ spl32_120 ),
inference(avatar_split_clause,[],[f10492,f1497,f338,f10641]) ).
fof(f10641,plain,
( spl32_381
<=> sz00 = sdtasdt0(sdtpldt0(sK16,smndt0(sz10)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_381])]) ).
fof(f10492,plain,
( sz00 = sdtasdt0(sdtpldt0(sK16,smndt0(sz10)),sz00)
| ~ spl32_18
| ~ spl32_120 ),
inference(resolution,[],[f9126,f1498]) ).
fof(f10621,plain,
( spl32_380
| ~ spl32_18
| ~ spl32_248 ),
inference(avatar_split_clause,[],[f10523,f7257,f338,f10618]) ).
fof(f10618,plain,
( spl32_380
<=> sz00 = sdtasdt0(sdtpldt0(sK16,sK20(sz00)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_380])]) ).
fof(f10523,plain,
( sz00 = sdtasdt0(sdtpldt0(sK16,sK20(sz00)),sz00)
| ~ spl32_18
| ~ spl32_248 ),
inference(resolution,[],[f9126,f7259]) ).
fof(f10616,plain,
( spl32_379
| ~ spl32_18
| ~ spl32_139 ),
inference(avatar_split_clause,[],[f10494,f1864,f338,f10613]) ).
fof(f10613,plain,
( spl32_379
<=> sz00 = sdtasdt0(sdtpldt0(sK16,smndt0(sK17)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_379])]) ).
fof(f10494,plain,
( sz00 = sdtasdt0(sdtpldt0(sK16,smndt0(sK17)),sz00)
| ~ spl32_18
| ~ spl32_139 ),
inference(resolution,[],[f9126,f1866]) ).
fof(f10593,plain,
( spl32_378
| ~ spl32_18
| ~ spl32_22 ),
inference(avatar_split_clause,[],[f10525,f358,f338,f10590]) ).
fof(f10590,plain,
( spl32_378
<=> sz00 = sdtasdt0(sdtpldt0(sK16,sK20(sK16)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_378])]) ).
fof(f10525,plain,
( sz00 = sdtasdt0(sdtpldt0(sK16,sK20(sK16)),sz00)
| ~ spl32_18
| ~ spl32_22 ),
inference(resolution,[],[f9126,f360]) ).
fof(f10588,plain,
( spl32_377
| ~ spl32_8
| spl32_9 ),
inference(avatar_split_clause,[],[f1250,f275,f270,f10585]) ).
fof(f275,plain,
( spl32_9
<=> aIdeal0(sdtpldt1(xI,xJ)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_9])]) ).
fof(f1250,plain,
( sK23(sdtpldt1(xI,xJ)) = sdtpldt0(sK19(sK23(sdtpldt1(xI,xJ))),sK20(sK23(sdtpldt1(xI,xJ))))
| ~ spl32_8
| spl32_9 ),
inference(subsumption_resolution,[],[f1249,f272]) ).
fof(f1249,plain,
( sK23(sdtpldt1(xI,xJ)) = sdtpldt0(sK19(sK23(sdtpldt1(xI,xJ))),sK20(sK23(sdtpldt1(xI,xJ))))
| ~ aSet0(sdtpldt1(xI,xJ))
| spl32_9 ),
inference(subsumption_resolution,[],[f1248,f277]) ).
fof(f277,plain,
( ~ aIdeal0(sdtpldt1(xI,xJ))
| spl32_9 ),
inference(avatar_component_clause,[],[f275]) ).
fof(f1248,plain,
( sK23(sdtpldt1(xI,xJ)) = sdtpldt0(sK19(sK23(sdtpldt1(xI,xJ))),sK20(sK23(sdtpldt1(xI,xJ))))
| aIdeal0(sdtpldt1(xI,xJ))
| ~ aSet0(sdtpldt1(xI,xJ)) ),
inference(resolution,[],[f159,f198]) ).
fof(f10583,plain,
( spl32_376
| ~ spl32_18
| ~ spl32_20 ),
inference(avatar_split_clause,[],[f10515,f348,f338,f10580]) ).
fof(f10580,plain,
( spl32_376
<=> sz00 = sdtasdt0(sdtpldt0(sK16,sK19(sK16)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_376])]) ).
fof(f10515,plain,
( sz00 = sdtasdt0(sdtpldt0(sK16,sK19(sK16)),sz00)
| ~ spl32_18
| ~ spl32_20 ),
inference(resolution,[],[f9126,f350]) ).
fof(f10551,plain,
( spl32_375
| ~ spl32_5
| ~ spl32_18
| ~ spl32_220 ),
inference(avatar_split_clause,[],[f10535,f6086,f338,f255,f10548]) ).
fof(f10548,plain,
( spl32_375
<=> sz00 = sdtasdt0(sdtpldt0(sz10,sK16),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_375])]) ).
fof(f10535,plain,
( sz00 = sdtasdt0(sdtpldt0(sz10,sK16),sz00)
| ~ spl32_5
| ~ spl32_18
| ~ spl32_220 ),
inference(forward_demodulation,[],[f10490,f6088]) ).
fof(f10490,plain,
( sz00 = sdtasdt0(sdtpldt0(sK16,sz10),sz00)
| ~ spl32_5
| ~ spl32_18 ),
inference(resolution,[],[f9126,f257]) ).
fof(f10546,plain,
( spl32_374
| ~ spl32_12
| ~ spl32_18 ),
inference(avatar_split_clause,[],[f10510,f338,f291,f10543]) ).
fof(f10543,plain,
( spl32_374
<=> sz00 = sdtasdt0(sdtpldt0(sK16,sK17),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_374])]) ).
fof(f10510,plain,
( sz00 = sdtasdt0(sdtpldt0(sK16,sK17),sz00)
| ~ spl32_12
| ~ spl32_18 ),
inference(resolution,[],[f9126,f293]) ).
fof(f10541,plain,
( spl32_373
| ~ spl32_18 ),
inference(avatar_split_clause,[],[f10509,f338,f10538]) ).
fof(f10538,plain,
( spl32_373
<=> sz00 = sdtasdt0(sdtpldt0(sK16,sK16),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_373])]) ).
fof(f10509,plain,
( sz00 = sdtasdt0(sdtpldt0(sK16,sK16),sz00)
| ~ spl32_18 ),
inference(resolution,[],[f9126,f340]) ).
fof(f10468,plain,
( spl32_372
| ~ spl32_12
| ~ spl32_259 ),
inference(avatar_split_clause,[],[f10320,f7642,f291,f10465]) ).
fof(f10465,plain,
( spl32_372
<=> sz00 = sdtasdt0(sz00,sdtasdt0(sK17,sK19(sz00))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_372])]) ).
fof(f10320,plain,
( sz00 = sdtasdt0(sz00,sdtasdt0(sK17,sK19(sz00)))
| ~ spl32_12
| ~ spl32_259 ),
inference(resolution,[],[f9000,f7644]) ).
fof(f9000,plain,
( ! [X48] :
( ~ aElement0(X48)
| sz00 = sdtasdt0(sz00,sdtasdt0(sK17,X48)) )
| ~ spl32_12 ),
inference(resolution,[],[f846,f293]) ).
fof(f10444,plain,
( spl32_371
| ~ spl32_12
| ~ spl32_173 ),
inference(avatar_split_clause,[],[f10300,f3131,f291,f10441]) ).
fof(f10441,plain,
( spl32_371
<=> sz00 = sdtasdt0(sz00,sdtasdt0(sK17,smndt0(sK16))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_371])]) ).
fof(f10300,plain,
( sz00 = sdtasdt0(sz00,sdtasdt0(sK17,smndt0(sK16)))
| ~ spl32_12
| ~ spl32_173 ),
inference(resolution,[],[f9000,f3133]) ).
fof(f10418,plain,
( spl32_370
| ~ spl32_12
| ~ spl32_248 ),
inference(avatar_split_clause,[],[f10330,f7257,f291,f10415]) ).
fof(f10415,plain,
( spl32_370
<=> sz00 = sdtasdt0(sz00,sdtasdt0(sK17,sK20(sz00))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_370])]) ).
fof(f10330,plain,
( sz00 = sdtasdt0(sz00,sdtasdt0(sK17,sK20(sz00)))
| ~ spl32_12
| ~ spl32_248 ),
inference(resolution,[],[f9000,f7259]) ).
fof(f10413,plain,
( spl32_369
| ~ spl32_12
| ~ spl32_139 ),
inference(avatar_split_clause,[],[f10301,f1864,f291,f10410]) ).
fof(f10410,plain,
( spl32_369
<=> sz00 = sdtasdt0(sz00,sdtasdt0(sK17,smndt0(sK17))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_369])]) ).
fof(f10301,plain,
( sz00 = sdtasdt0(sz00,sdtasdt0(sK17,smndt0(sK17)))
| ~ spl32_12
| ~ spl32_139 ),
inference(resolution,[],[f9000,f1866]) ).
fof(f10388,plain,
( spl32_368
| ~ spl32_12
| ~ spl32_22 ),
inference(avatar_split_clause,[],[f10332,f358,f291,f10385]) ).
fof(f10385,plain,
( spl32_368
<=> sz00 = sdtasdt0(sz00,sdtasdt0(sK17,sK20(sK16))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_368])]) ).
fof(f10332,plain,
( sz00 = sdtasdt0(sz00,sdtasdt0(sK17,sK20(sK16)))
| ~ spl32_12
| ~ spl32_22 ),
inference(resolution,[],[f9000,f360]) ).
fof(f10383,plain,
( spl32_367
| ~ spl32_12
| ~ spl32_20 ),
inference(avatar_split_clause,[],[f10322,f348,f291,f10380]) ).
fof(f10380,plain,
( spl32_367
<=> sz00 = sdtasdt0(sz00,sdtasdt0(sK17,sK19(sK16))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_367])]) ).
fof(f10322,plain,
( sz00 = sdtasdt0(sz00,sdtasdt0(sK17,sK19(sK16)))
| ~ spl32_12
| ~ spl32_20 ),
inference(resolution,[],[f9000,f350]) ).
fof(f10349,plain,
( spl32_366
| ~ spl32_12 ),
inference(avatar_split_clause,[],[f10317,f291,f10346]) ).
fof(f10346,plain,
( spl32_366
<=> sz00 = sdtasdt0(sz00,sdtasdt0(sK17,sK17)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_366])]) ).
fof(f10317,plain,
( sz00 = sdtasdt0(sz00,sdtasdt0(sK17,sK17))
| ~ spl32_12 ),
inference(resolution,[],[f9000,f293]) ).
fof(f10275,plain,
( spl32_365
| ~ spl32_18
| ~ spl32_259 ),
inference(avatar_split_clause,[],[f10148,f7642,f338,f10272]) ).
fof(f10272,plain,
( spl32_365
<=> sz00 = sdtasdt0(sz00,sdtasdt0(sK16,sK19(sz00))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_365])]) ).
fof(f10148,plain,
( sz00 = sdtasdt0(sz00,sdtasdt0(sK16,sK19(sz00)))
| ~ spl32_18
| ~ spl32_259 ),
inference(resolution,[],[f8999,f7644]) ).
fof(f8999,plain,
( ! [X47] :
( ~ aElement0(X47)
| sz00 = sdtasdt0(sz00,sdtasdt0(sK16,X47)) )
| ~ spl32_18 ),
inference(resolution,[],[f846,f340]) ).
fof(f10270,plain,
( spl32_364
| ~ spl32_18
| ~ spl32_173 ),
inference(avatar_split_clause,[],[f10128,f3131,f338,f10267]) ).
fof(f10267,plain,
( spl32_364
<=> sz00 = sdtasdt0(sz00,sdtasdt0(sK16,smndt0(sK16))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_364])]) ).
fof(f10128,plain,
( sz00 = sdtasdt0(sz00,sdtasdt0(sK16,smndt0(sK16)))
| ~ spl32_18
| ~ spl32_173 ),
inference(resolution,[],[f8999,f3133]) ).
fof(f10243,plain,
( spl32_363
| ~ spl32_18
| ~ spl32_248 ),
inference(avatar_split_clause,[],[f10158,f7257,f338,f10240]) ).
fof(f10240,plain,
( spl32_363
<=> sz00 = sdtasdt0(sz00,sdtasdt0(sK16,sK20(sz00))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_363])]) ).
fof(f10158,plain,
( sz00 = sdtasdt0(sz00,sdtasdt0(sK16,sK20(sz00)))
| ~ spl32_18
| ~ spl32_248 ),
inference(resolution,[],[f8999,f7259]) ).
fof(f10236,plain,
( spl32_362
| ~ spl32_18
| ~ spl32_139 ),
inference(avatar_split_clause,[],[f10129,f1864,f338,f10233]) ).
fof(f10233,plain,
( spl32_362
<=> sz00 = sdtasdt0(sz00,sdtasdt0(sK16,smndt0(sK17))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_362])]) ).
fof(f10129,plain,
( sz00 = sdtasdt0(sz00,sdtasdt0(sK16,smndt0(sK17)))
| ~ spl32_18
| ~ spl32_139 ),
inference(resolution,[],[f8999,f1866]) ).
fof(f10211,plain,
( spl32_361
| ~ spl32_18
| ~ spl32_22 ),
inference(avatar_split_clause,[],[f10160,f358,f338,f10208]) ).
fof(f10208,plain,
( spl32_361
<=> sz00 = sdtasdt0(sz00,sdtasdt0(sK16,sK20(sK16))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_361])]) ).
fof(f10160,plain,
( sz00 = sdtasdt0(sz00,sdtasdt0(sK16,sK20(sK16)))
| ~ spl32_18
| ~ spl32_22 ),
inference(resolution,[],[f8999,f360]) ).
fof(f10206,plain,
( spl32_360
| ~ spl32_18
| ~ spl32_20 ),
inference(avatar_split_clause,[],[f10150,f348,f338,f10203]) ).
fof(f10203,plain,
( spl32_360
<=> sz00 = sdtasdt0(sz00,sdtasdt0(sK16,sK19(sK16))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_360])]) ).
fof(f10150,plain,
( sz00 = sdtasdt0(sz00,sdtasdt0(sK16,sK19(sK16)))
| ~ spl32_18
| ~ spl32_20 ),
inference(resolution,[],[f8999,f350]) ).
fof(f10181,plain,
( spl32_359
| ~ spl32_12
| ~ spl32_18 ),
inference(avatar_split_clause,[],[f10145,f338,f291,f10178]) ).
fof(f10178,plain,
( spl32_359
<=> sz00 = sdtasdt0(sz00,sdtasdt0(sK16,sK17)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_359])]) ).
fof(f10145,plain,
( sz00 = sdtasdt0(sz00,sdtasdt0(sK16,sK17))
| ~ spl32_12
| ~ spl32_18 ),
inference(resolution,[],[f8999,f293]) ).
fof(f10176,plain,
( spl32_358
| ~ spl32_18 ),
inference(avatar_split_clause,[],[f10144,f338,f10173]) ).
fof(f10173,plain,
( spl32_358
<=> sz00 = sdtasdt0(sz00,sdtasdt0(sK16,sK16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_358])]) ).
fof(f10144,plain,
( sz00 = sdtasdt0(sz00,sdtasdt0(sK16,sK16))
| ~ spl32_18 ),
inference(resolution,[],[f8999,f340]) ).
fof(f10103,plain,
( spl32_357
| ~ spl32_12
| ~ spl32_259 ),
inference(avatar_split_clause,[],[f9997,f7642,f291,f10100]) ).
fof(f10100,plain,
( spl32_357
<=> sz00 = sdtasdt0(sdtasdt0(sK17,sK19(sz00)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_357])]) ).
fof(f9997,plain,
( sz00 = sdtasdt0(sdtasdt0(sK17,sK19(sz00)),sz00)
| ~ spl32_12
| ~ spl32_259 ),
inference(resolution,[],[f8868,f7644]) ).
fof(f8868,plain,
( ! [X48] :
( ~ aElement0(X48)
| sz00 = sdtasdt0(sdtasdt0(sK17,X48),sz00) )
| ~ spl32_12 ),
inference(resolution,[],[f845,f293]) ).
fof(f10098,plain,
( spl32_356
| ~ spl32_12
| ~ spl32_173 ),
inference(avatar_split_clause,[],[f9977,f3131,f291,f10095]) ).
fof(f10095,plain,
( spl32_356
<=> sz00 = sdtasdt0(sdtasdt0(sK17,smndt0(sK16)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_356])]) ).
fof(f9977,plain,
( sz00 = sdtasdt0(sdtasdt0(sK17,smndt0(sK16)),sz00)
| ~ spl32_12
| ~ spl32_173 ),
inference(resolution,[],[f8868,f3133]) ).
fof(f10075,plain,
( spl32_355
| ~ spl32_12
| ~ spl32_248 ),
inference(avatar_split_clause,[],[f10007,f7257,f291,f10072]) ).
fof(f10072,plain,
( spl32_355
<=> sz00 = sdtasdt0(sdtasdt0(sK17,sK20(sz00)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_355])]) ).
fof(f10007,plain,
( sz00 = sdtasdt0(sdtasdt0(sK17,sK20(sz00)),sz00)
| ~ spl32_12
| ~ spl32_248 ),
inference(resolution,[],[f8868,f7259]) ).
fof(f10070,plain,
( spl32_354
| ~ spl32_12
| ~ spl32_139 ),
inference(avatar_split_clause,[],[f9978,f1864,f291,f10067]) ).
fof(f10067,plain,
( spl32_354
<=> sz00 = sdtasdt0(sdtasdt0(sK17,smndt0(sK17)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_354])]) ).
fof(f9978,plain,
( sz00 = sdtasdt0(sdtasdt0(sK17,smndt0(sK17)),sz00)
| ~ spl32_12
| ~ spl32_139 ),
inference(resolution,[],[f8868,f1866]) ).
fof(f10047,plain,
( spl32_353
| ~ spl32_12
| ~ spl32_22 ),
inference(avatar_split_clause,[],[f10009,f358,f291,f10044]) ).
fof(f10044,plain,
( spl32_353
<=> sz00 = sdtasdt0(sdtasdt0(sK17,sK20(sK16)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_353])]) ).
fof(f10009,plain,
( sz00 = sdtasdt0(sdtasdt0(sK17,sK20(sK16)),sz00)
| ~ spl32_12
| ~ spl32_22 ),
inference(resolution,[],[f8868,f360]) ).
fof(f10042,plain,
( spl32_352
| ~ spl32_12
| ~ spl32_20 ),
inference(avatar_split_clause,[],[f9999,f348,f291,f10039]) ).
fof(f10039,plain,
( spl32_352
<=> sz00 = sdtasdt0(sdtasdt0(sK17,sK19(sK16)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_352])]) ).
fof(f9999,plain,
( sz00 = sdtasdt0(sdtasdt0(sK17,sK19(sK16)),sz00)
| ~ spl32_12
| ~ spl32_20 ),
inference(resolution,[],[f8868,f350]) ).
fof(f10026,plain,
( spl32_351
| ~ spl32_12 ),
inference(avatar_split_clause,[],[f9994,f291,f10023]) ).
fof(f10023,plain,
( spl32_351
<=> sz00 = sdtasdt0(sdtasdt0(sK17,sK17),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_351])]) ).
fof(f9994,plain,
( sz00 = sdtasdt0(sdtasdt0(sK17,sK17),sz00)
| ~ spl32_12 ),
inference(resolution,[],[f8868,f293]) ).
fof(f9954,plain,
( spl32_350
| ~ spl32_18
| ~ spl32_259 ),
inference(avatar_split_clause,[],[f9790,f7642,f338,f9951]) ).
fof(f9951,plain,
( spl32_350
<=> sz00 = sdtasdt0(sdtasdt0(sK16,sK19(sz00)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_350])]) ).
fof(f9790,plain,
( sz00 = sdtasdt0(sdtasdt0(sK16,sK19(sz00)),sz00)
| ~ spl32_18
| ~ spl32_259 ),
inference(resolution,[],[f8867,f7644]) ).
fof(f8867,plain,
( ! [X47] :
( ~ aElement0(X47)
| sz00 = sdtasdt0(sdtasdt0(sK16,X47),sz00) )
| ~ spl32_18 ),
inference(resolution,[],[f845,f340]) ).
fof(f9949,plain,
( spl32_349
| ~ spl32_18
| ~ spl32_173 ),
inference(avatar_split_clause,[],[f9770,f3131,f338,f9946]) ).
fof(f9946,plain,
( spl32_349
<=> sz00 = sdtasdt0(sdtasdt0(sK16,smndt0(sK16)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_349])]) ).
fof(f9770,plain,
( sz00 = sdtasdt0(sdtasdt0(sK16,smndt0(sK16)),sz00)
| ~ spl32_18
| ~ spl32_173 ),
inference(resolution,[],[f8867,f3133]) ).
fof(f9926,plain,
( spl32_348
| ~ spl32_18
| ~ spl32_248 ),
inference(avatar_split_clause,[],[f9800,f7257,f338,f9923]) ).
fof(f9923,plain,
( spl32_348
<=> sz00 = sdtasdt0(sdtasdt0(sK16,sK20(sz00)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_348])]) ).
fof(f9800,plain,
( sz00 = sdtasdt0(sdtasdt0(sK16,sK20(sz00)),sz00)
| ~ spl32_18
| ~ spl32_248 ),
inference(resolution,[],[f8867,f7259]) ).
fof(f9921,plain,
( spl32_347
| ~ spl32_18
| ~ spl32_139 ),
inference(avatar_split_clause,[],[f9771,f1864,f338,f9918]) ).
fof(f9918,plain,
( spl32_347
<=> sz00 = sdtasdt0(sdtasdt0(sK16,smndt0(sK17)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_347])]) ).
fof(f9771,plain,
( sz00 = sdtasdt0(sdtasdt0(sK16,smndt0(sK17)),sz00)
| ~ spl32_18
| ~ spl32_139 ),
inference(resolution,[],[f8867,f1866]) ).
fof(f9851,plain,
( spl32_346
| ~ spl32_18
| ~ spl32_22 ),
inference(avatar_split_clause,[],[f9802,f358,f338,f9848]) ).
fof(f9848,plain,
( spl32_346
<=> sz00 = sdtasdt0(sdtasdt0(sK16,sK20(sK16)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_346])]) ).
fof(f9802,plain,
( sz00 = sdtasdt0(sdtasdt0(sK16,sK20(sK16)),sz00)
| ~ spl32_18
| ~ spl32_22 ),
inference(resolution,[],[f8867,f360]) ).
fof(f9846,plain,
( spl32_345
| ~ spl32_18
| ~ spl32_20 ),
inference(avatar_split_clause,[],[f9792,f348,f338,f9843]) ).
fof(f9843,plain,
( spl32_345
<=> sz00 = sdtasdt0(sdtasdt0(sK16,sK19(sK16)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_345])]) ).
fof(f9792,plain,
( sz00 = sdtasdt0(sdtasdt0(sK16,sK19(sK16)),sz00)
| ~ spl32_18
| ~ spl32_20 ),
inference(resolution,[],[f8867,f350]) ).
fof(f9823,plain,
( spl32_344
| ~ spl32_12
| ~ spl32_18 ),
inference(avatar_split_clause,[],[f9787,f338,f291,f9820]) ).
fof(f9820,plain,
( spl32_344
<=> sz00 = sdtasdt0(sdtasdt0(sK16,sK17),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_344])]) ).
fof(f9787,plain,
( sz00 = sdtasdt0(sdtasdt0(sK16,sK17),sz00)
| ~ spl32_12
| ~ spl32_18 ),
inference(resolution,[],[f8867,f293]) ).
fof(f9818,plain,
( spl32_343
| ~ spl32_18 ),
inference(avatar_split_clause,[],[f9786,f338,f9815]) ).
fof(f9815,plain,
( spl32_343
<=> sz00 = sdtasdt0(sdtasdt0(sK16,sK16),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_343])]) ).
fof(f9786,plain,
( sz00 = sdtasdt0(sdtasdt0(sK16,sK16),sz00)
| ~ spl32_18 ),
inference(resolution,[],[f8867,f340]) ).
fof(f9715,plain,
( ~ spl32_342
| ~ spl32_13
| ~ spl32_15
| ~ spl32_101
| spl32_341 ),
inference(avatar_split_clause,[],[f9709,f9705,f1252,f310,f298,f9712]) ).
fof(f9712,plain,
( spl32_342
<=> sz10 = sK16 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_342])]) ).
fof(f298,plain,
( spl32_13
<=> aElementOf0(sK19(sK16),xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_13])]) ).
fof(f310,plain,
( spl32_15
<=> aElementOf0(sK20(sK16),xJ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_15])]) ).
fof(f1252,plain,
( spl32_101
<=> sK16 = sdtpldt0(sK19(sK16),sK20(sK16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_101])]) ).
fof(f9705,plain,
( spl32_341
<=> aElementOf0(sK20(sz10),xJ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_341])]) ).
fof(f9709,plain,
( sz10 != sK16
| ~ spl32_13
| ~ spl32_15
| ~ spl32_101
| spl32_341 ),
inference(resolution,[],[f9706,f2846]) ).
fof(f2846,plain,
( ! [X4] :
( aElementOf0(sK20(X4),xJ)
| sK16 != X4 )
| ~ spl32_13
| ~ spl32_15
| ~ spl32_101 ),
inference(resolution,[],[f2328,f158]) ).
fof(f2328,plain,
( ! [X30] :
( aElementOf0(X30,sdtpldt1(xI,xJ))
| sK16 != X30 )
| ~ spl32_13
| ~ spl32_15
| ~ spl32_101 ),
inference(subsumption_resolution,[],[f2327,f300]) ).
fof(f300,plain,
( aElementOf0(sK19(sK16),xI)
| ~ spl32_13 ),
inference(avatar_component_clause,[],[f298]) ).
fof(f2327,plain,
( ! [X30] :
( sK16 != X30
| aElementOf0(X30,sdtpldt1(xI,xJ))
| ~ aElementOf0(sK19(sK16),xI) )
| ~ spl32_15
| ~ spl32_101 ),
inference(subsumption_resolution,[],[f2307,f312]) ).
fof(f312,plain,
( aElementOf0(sK20(sK16),xJ)
| ~ spl32_15 ),
inference(avatar_component_clause,[],[f310]) ).
fof(f2307,plain,
( ! [X30] :
( sK16 != X30
| aElementOf0(X30,sdtpldt1(xI,xJ))
| ~ aElementOf0(sK20(sK16),xJ)
| ~ aElementOf0(sK19(sK16),xI) )
| ~ spl32_101 ),
inference(superposition,[],[f160,f1254]) ).
fof(f1254,plain,
( sK16 = sdtpldt0(sK19(sK16),sK20(sK16))
| ~ spl32_101 ),
inference(avatar_component_clause,[],[f1252]) ).
fof(f9706,plain,
( ~ aElementOf0(sK20(sz10),xJ)
| spl32_341 ),
inference(avatar_component_clause,[],[f9705]) ).
fof(f9708,plain,
( ~ spl32_340
| spl32_341
| ~ spl32_5
| ~ spl32_52 ),
inference(avatar_split_clause,[],[f7185,f634,f255,f9705,f9701]) ).
fof(f9701,plain,
( spl32_340
<=> sP4(sdtpldt1(xI,xJ),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_340])]) ).
fof(f634,plain,
( spl32_52
<=> sz10 = sdtasdt0(sz10,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_52])]) ).
fof(f7185,plain,
( aElementOf0(sK20(sz10),xJ)
| ~ sP4(sdtpldt1(xI,xJ),sz10)
| ~ spl32_5
| ~ spl32_52 ),
inference(subsumption_resolution,[],[f7098,f257]) ).
fof(f7098,plain,
( aElementOf0(sK20(sz10),xJ)
| ~ sP4(sdtpldt1(xI,xJ),sz10)
| ~ aElement0(sz10)
| ~ spl32_52 ),
inference(superposition,[],[f1545,f636]) ).
fof(f636,plain,
( sz10 = sdtasdt0(sz10,sz10)
| ~ spl32_52 ),
inference(avatar_component_clause,[],[f634]) ).
fof(f9643,plain,
( spl32_339
| ~ spl32_296 ),
inference(avatar_split_clause,[],[f8693,f8672,f9640]) ).
fof(f9640,plain,
( spl32_339
<=> sz00 = sdtasdt0(sz00,smndt0(sK20(sK19(sz00)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_339])]) ).
fof(f8672,plain,
( spl32_296
<=> aElement0(sK20(sK19(sz00))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_296])]) ).
fof(f8693,plain,
( sz00 = sdtasdt0(sz00,smndt0(sK20(sK19(sz00))))
| ~ spl32_296 ),
inference(resolution,[],[f8674,f392]) ).
fof(f8674,plain,
( aElement0(sK20(sK19(sz00)))
| ~ spl32_296 ),
inference(avatar_component_clause,[],[f8672]) ).
fof(f9638,plain,
( spl32_338
| ~ spl32_296 ),
inference(avatar_split_clause,[],[f8692,f8672,f9635]) ).
fof(f9635,plain,
( spl32_338
<=> sz00 = sdtasdt0(smndt0(sK20(sK19(sz00))),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_338])]) ).
fof(f8692,plain,
( sz00 = sdtasdt0(smndt0(sK20(sK19(sz00))),sz00)
| ~ spl32_296 ),
inference(resolution,[],[f8674,f369]) ).
fof(f9633,plain,
( spl32_337
| ~ spl32_295 ),
inference(avatar_split_clause,[],[f8654,f8633,f9630]) ).
fof(f9630,plain,
( spl32_337
<=> sz00 = sdtasdt0(sz00,smndt0(sK19(sK19(sz00)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_337])]) ).
fof(f8633,plain,
( spl32_295
<=> aElement0(sK19(sK19(sz00))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_295])]) ).
fof(f8654,plain,
( sz00 = sdtasdt0(sz00,smndt0(sK19(sK19(sz00))))
| ~ spl32_295 ),
inference(resolution,[],[f8635,f392]) ).
fof(f8635,plain,
( aElement0(sK19(sK19(sz00)))
| ~ spl32_295 ),
inference(avatar_component_clause,[],[f8633]) ).
fof(f9628,plain,
( spl32_336
| ~ spl32_295 ),
inference(avatar_split_clause,[],[f8653,f8633,f9625]) ).
fof(f9625,plain,
( spl32_336
<=> sz00 = sdtasdt0(smndt0(sK19(sK19(sz00))),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_336])]) ).
fof(f8653,plain,
( sz00 = sdtasdt0(smndt0(sK19(sK19(sz00))),sz00)
| ~ spl32_295 ),
inference(resolution,[],[f8635,f369]) ).
fof(f9570,plain,
( spl32_335
| ~ spl32_278 ),
inference(avatar_split_clause,[],[f8272,f8251,f9567]) ).
fof(f9567,plain,
( spl32_335
<=> sz00 = sdtasdt0(sz00,smndt0(sK20(sK20(sz00)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_335])]) ).
fof(f8251,plain,
( spl32_278
<=> aElement0(sK20(sK20(sz00))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_278])]) ).
fof(f8272,plain,
( sz00 = sdtasdt0(sz00,smndt0(sK20(sK20(sz00))))
| ~ spl32_278 ),
inference(resolution,[],[f8253,f392]) ).
fof(f8253,plain,
( aElement0(sK20(sK20(sz00)))
| ~ spl32_278 ),
inference(avatar_component_clause,[],[f8251]) ).
fof(f9565,plain,
( spl32_334
| ~ spl32_278 ),
inference(avatar_split_clause,[],[f8271,f8251,f9562]) ).
fof(f9562,plain,
( spl32_334
<=> sz00 = sdtasdt0(smndt0(sK20(sK20(sz00))),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_334])]) ).
fof(f8271,plain,
( sz00 = sdtasdt0(smndt0(sK20(sK20(sz00))),sz00)
| ~ spl32_278 ),
inference(resolution,[],[f8253,f369]) ).
fof(f9560,plain,
( spl32_333
| ~ spl32_277 ),
inference(avatar_split_clause,[],[f8235,f8214,f9557]) ).
fof(f9557,plain,
( spl32_333
<=> sz00 = sdtasdt0(sz00,smndt0(sK19(sK20(sz00)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_333])]) ).
fof(f8214,plain,
( spl32_277
<=> aElement0(sK19(sK20(sz00))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_277])]) ).
fof(f8235,plain,
( sz00 = sdtasdt0(sz00,smndt0(sK19(sK20(sz00))))
| ~ spl32_277 ),
inference(resolution,[],[f8216,f392]) ).
fof(f8216,plain,
( aElement0(sK19(sK20(sz00)))
| ~ spl32_277 ),
inference(avatar_component_clause,[],[f8214]) ).
fof(f9553,plain,
( spl32_332
| ~ spl32_277 ),
inference(avatar_split_clause,[],[f8234,f8214,f9550]) ).
fof(f9550,plain,
( spl32_332
<=> sz00 = sdtasdt0(smndt0(sK19(sK20(sz00))),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_332])]) ).
fof(f8234,plain,
( sz00 = sdtasdt0(smndt0(sK19(sK20(sz00))),sz00)
| ~ spl32_277 ),
inference(resolution,[],[f8216,f369]) ).
fof(f9387,plain,
( spl32_331
| ~ spl32_283 ),
inference(avatar_split_clause,[],[f8416,f8411,f9384]) ).
fof(f9384,plain,
( spl32_331
<=> sz00 = sdtasdt0(sz00,sK20(smndt0(sK19(sK16)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_331])]) ).
fof(f8411,plain,
( spl32_283
<=> aElement0(sK20(smndt0(sK19(sK16)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_283])]) ).
fof(f8416,plain,
( sz00 = sdtasdt0(sz00,sK20(smndt0(sK19(sK16))))
| ~ spl32_283 ),
inference(resolution,[],[f8413,f181]) ).
fof(f8413,plain,
( aElement0(sK20(smndt0(sK19(sK16))))
| ~ spl32_283 ),
inference(avatar_component_clause,[],[f8411]) ).
fof(f9382,plain,
( spl32_330
| ~ spl32_283 ),
inference(avatar_split_clause,[],[f8415,f8411,f9379]) ).
fof(f9379,plain,
( spl32_330
<=> sz00 = sdtasdt0(sK20(smndt0(sK19(sK16))),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_330])]) ).
fof(f8415,plain,
( sz00 = sdtasdt0(sK20(smndt0(sK19(sK16))),sz00)
| ~ spl32_283 ),
inference(resolution,[],[f8413,f180]) ).
fof(f9377,plain,
( spl32_329
| ~ spl32_282 ),
inference(avatar_split_clause,[],[f8378,f8373,f9374]) ).
fof(f9374,plain,
( spl32_329
<=> sz00 = sdtasdt0(sz00,sK19(smndt0(sK19(sK16)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_329])]) ).
fof(f8373,plain,
( spl32_282
<=> aElement0(sK19(smndt0(sK19(sK16)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_282])]) ).
fof(f8378,plain,
( sz00 = sdtasdt0(sz00,sK19(smndt0(sK19(sK16))))
| ~ spl32_282 ),
inference(resolution,[],[f8375,f181]) ).
fof(f8375,plain,
( aElement0(sK19(smndt0(sK19(sK16))))
| ~ spl32_282 ),
inference(avatar_component_clause,[],[f8373]) ).
fof(f9372,plain,
( spl32_328
| ~ spl32_282 ),
inference(avatar_split_clause,[],[f8377,f8373,f9369]) ).
fof(f9369,plain,
( spl32_328
<=> sz00 = sdtasdt0(sK19(smndt0(sK19(sK16))),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_328])]) ).
fof(f8377,plain,
( sz00 = sdtasdt0(sK19(smndt0(sK19(sK16))),sz00)
| ~ spl32_282 ),
inference(resolution,[],[f8375,f180]) ).
fof(f9367,plain,
( spl32_327
| ~ spl32_270 ),
inference(avatar_split_clause,[],[f8078,f8057,f9364]) ).
fof(f9364,plain,
( spl32_327
<=> sz00 = sdtasdt0(sz00,smndt0(sK20(sK20(sK16)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_327])]) ).
fof(f8057,plain,
( spl32_270
<=> aElement0(sK20(sK20(sK16))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_270])]) ).
fof(f8078,plain,
( sz00 = sdtasdt0(sz00,smndt0(sK20(sK20(sK16))))
| ~ spl32_270 ),
inference(resolution,[],[f8059,f392]) ).
fof(f8059,plain,
( aElement0(sK20(sK20(sK16)))
| ~ spl32_270 ),
inference(avatar_component_clause,[],[f8057]) ).
fof(f9362,plain,
( spl32_326
| ~ spl32_270 ),
inference(avatar_split_clause,[],[f8077,f8057,f9359]) ).
fof(f9359,plain,
( spl32_326
<=> sz00 = sdtasdt0(smndt0(sK20(sK20(sK16))),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_326])]) ).
fof(f8077,plain,
( sz00 = sdtasdt0(smndt0(sK20(sK20(sK16))),sz00)
| ~ spl32_270 ),
inference(resolution,[],[f8059,f369]) ).
fof(f9357,plain,
( spl32_325
| ~ spl32_269 ),
inference(avatar_split_clause,[],[f8011,f7990,f9354]) ).
fof(f9354,plain,
( spl32_325
<=> sz00 = sdtasdt0(sz00,smndt0(sK19(sK20(sK16)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_325])]) ).
fof(f7990,plain,
( spl32_269
<=> aElement0(sK19(sK20(sK16))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_269])]) ).
fof(f8011,plain,
( sz00 = sdtasdt0(sz00,smndt0(sK19(sK20(sK16))))
| ~ spl32_269 ),
inference(resolution,[],[f7992,f392]) ).
fof(f7992,plain,
( aElement0(sK19(sK20(sK16)))
| ~ spl32_269 ),
inference(avatar_component_clause,[],[f7990]) ).
fof(f9352,plain,
( spl32_324
| ~ spl32_269 ),
inference(avatar_split_clause,[],[f8010,f7990,f9349]) ).
fof(f9349,plain,
( spl32_324
<=> sz00 = sdtasdt0(smndt0(sK19(sK20(sK16))),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_324])]) ).
fof(f8010,plain,
( sz00 = sdtasdt0(smndt0(sK19(sK20(sK16))),sz00)
| ~ spl32_269 ),
inference(resolution,[],[f7992,f369]) ).
fof(f9347,plain,
( spl32_323
| ~ spl32_266 ),
inference(avatar_split_clause,[],[f7956,f7935,f9344]) ).
fof(f9344,plain,
( spl32_323
<=> sz00 = sdtasdt0(sz00,smndt0(sK20(sK19(sK16)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_323])]) ).
fof(f7935,plain,
( spl32_266
<=> aElement0(sK20(sK19(sK16))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_266])]) ).
fof(f7956,plain,
( sz00 = sdtasdt0(sz00,smndt0(sK20(sK19(sK16))))
| ~ spl32_266 ),
inference(resolution,[],[f7937,f392]) ).
fof(f7937,plain,
( aElement0(sK20(sK19(sK16)))
| ~ spl32_266 ),
inference(avatar_component_clause,[],[f7935]) ).
fof(f9295,plain,
( spl32_322
| ~ spl32_266 ),
inference(avatar_split_clause,[],[f7955,f7935,f9292]) ).
fof(f9292,plain,
( spl32_322
<=> sz00 = sdtasdt0(smndt0(sK20(sK19(sK16))),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_322])]) ).
fof(f7955,plain,
( sz00 = sdtasdt0(smndt0(sK20(sK19(sK16))),sz00)
| ~ spl32_266 ),
inference(resolution,[],[f7937,f369]) ).
fof(f9290,plain,
( spl32_321
| ~ spl32_265 ),
inference(avatar_split_clause,[],[f7919,f7898,f9287]) ).
fof(f9287,plain,
( spl32_321
<=> sz00 = sdtasdt0(sz00,smndt0(sK19(sK19(sK16)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_321])]) ).
fof(f7898,plain,
( spl32_265
<=> aElement0(sK19(sK19(sK16))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_265])]) ).
fof(f7919,plain,
( sz00 = sdtasdt0(sz00,smndt0(sK19(sK19(sK16))))
| ~ spl32_265 ),
inference(resolution,[],[f7900,f392]) ).
fof(f7900,plain,
( aElement0(sK19(sK19(sK16)))
| ~ spl32_265 ),
inference(avatar_component_clause,[],[f7898]) ).
fof(f9285,plain,
( spl32_320
| ~ spl32_265 ),
inference(avatar_split_clause,[],[f7918,f7898,f9282]) ).
fof(f9282,plain,
( spl32_320
<=> sz00 = sdtasdt0(smndt0(sK19(sK19(sK16))),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_320])]) ).
fof(f7918,plain,
( sz00 = sdtasdt0(smndt0(sK19(sK19(sK16))),sz00)
| ~ spl32_265 ),
inference(resolution,[],[f7900,f369]) ).
fof(f9203,plain,
( spl32_319
| spl32_204
| ~ spl32_10
| ~ spl32_279 ),
inference(avatar_split_clause,[],[f9196,f8347,f280,f5229,f9200]) ).
fof(f9200,plain,
( spl32_319
<=> sP0(sK16,smndt0(sK19(sK16))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_319])]) ).
fof(f8347,plain,
( spl32_279
<=> aElementOf0(smndt0(sK19(sK16)),sdtpldt1(xI,xJ)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_279])]) ).
fof(f9196,plain,
( ! [X0] :
( ~ aElement0(X0)
| sP0(sK16,smndt0(sK19(sK16))) )
| ~ spl32_10
| ~ spl32_279 ),
inference(resolution,[],[f8358,f2866]) ).
fof(f8358,plain,
( ! [X10] :
( sP3(sK16,X10,smndt0(sK19(sK16)))
| ~ aElement0(X10) )
| ~ spl32_10
| ~ spl32_279 ),
inference(resolution,[],[f8349,f2263]) ).
fof(f8349,plain,
( aElementOf0(smndt0(sK19(sK16)),sdtpldt1(xI,xJ))
| ~ spl32_279 ),
inference(avatar_component_clause,[],[f8347]) ).
fof(f9194,plain,
( spl32_318
| ~ spl32_259 ),
inference(avatar_split_clause,[],[f7653,f7642,f9191]) ).
fof(f9191,plain,
( spl32_318
<=> sz00 = sdtpldt0(smndt0(sK19(sz00)),sK19(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_318])]) ).
fof(f7653,plain,
( sz00 = sdtpldt0(smndt0(sK19(sz00)),sK19(sz00))
| ~ spl32_259 ),
inference(resolution,[],[f7644,f187]) ).
fof(f9189,plain,
( spl32_317
| ~ spl32_259 ),
inference(avatar_split_clause,[],[f7652,f7642,f9186]) ).
fof(f9186,plain,
( spl32_317
<=> sz00 = sdtpldt0(sK19(sz00),smndt0(sK19(sz00))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_317])]) ).
fof(f7652,plain,
( sz00 = sdtpldt0(sK19(sz00),smndt0(sK19(sz00)))
| ~ spl32_259 ),
inference(resolution,[],[f7644,f186]) ).
fof(f9155,plain,
( spl32_316
| ~ spl32_248 ),
inference(avatar_split_clause,[],[f7268,f7257,f9152]) ).
fof(f9152,plain,
( spl32_316
<=> sz00 = sdtpldt0(smndt0(sK20(sz00)),sK20(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_316])]) ).
fof(f7268,plain,
( sz00 = sdtpldt0(smndt0(sK20(sz00)),sK20(sz00))
| ~ spl32_248 ),
inference(resolution,[],[f7259,f187]) ).
fof(f9105,plain,
( spl32_315
| ~ spl32_248 ),
inference(avatar_split_clause,[],[f7267,f7257,f9102]) ).
fof(f9102,plain,
( spl32_315
<=> sz00 = sdtpldt0(sK20(sz00),smndt0(sK20(sz00))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_315])]) ).
fof(f7267,plain,
( sz00 = sdtpldt0(sK20(sz00),smndt0(sK20(sz00)))
| ~ spl32_248 ),
inference(resolution,[],[f7259,f186]) ).
fof(f9062,plain,
( spl32_314
| ~ spl32_296 ),
inference(avatar_split_clause,[],[f8677,f8672,f9059]) ).
fof(f9059,plain,
( spl32_314
<=> sz00 = sdtasdt0(sz00,sK20(sK19(sz00))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_314])]) ).
fof(f8677,plain,
( sz00 = sdtasdt0(sz00,sK20(sK19(sz00)))
| ~ spl32_296 ),
inference(resolution,[],[f8674,f181]) ).
fof(f9057,plain,
( spl32_313
| ~ spl32_296 ),
inference(avatar_split_clause,[],[f8676,f8672,f9054]) ).
fof(f9054,plain,
( spl32_313
<=> sz00 = sdtasdt0(sK20(sK19(sz00)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_313])]) ).
fof(f8676,plain,
( sz00 = sdtasdt0(sK20(sK19(sz00)),sz00)
| ~ spl32_296 ),
inference(resolution,[],[f8674,f180]) ).
fof(f9052,plain,
( spl32_312
| ~ spl32_295 ),
inference(avatar_split_clause,[],[f8638,f8633,f9049]) ).
fof(f9049,plain,
( spl32_312
<=> sz00 = sdtasdt0(sz00,sK19(sK19(sz00))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_312])]) ).
fof(f8638,plain,
( sz00 = sdtasdt0(sz00,sK19(sK19(sz00)))
| ~ spl32_295 ),
inference(resolution,[],[f8635,f181]) ).
fof(f9047,plain,
( spl32_311
| ~ spl32_295 ),
inference(avatar_split_clause,[],[f8637,f8633,f9044]) ).
fof(f9044,plain,
( spl32_311
<=> sz00 = sdtasdt0(sK19(sK19(sz00)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_311])]) ).
fof(f8637,plain,
( sz00 = sdtasdt0(sK19(sK19(sz00)),sz00)
| ~ spl32_295 ),
inference(resolution,[],[f8635,f180]) ).
fof(f8959,plain,
( spl32_310
| ~ spl32_278 ),
inference(avatar_split_clause,[],[f8256,f8251,f8956]) ).
fof(f8956,plain,
( spl32_310
<=> sz00 = sdtasdt0(sz00,sK20(sK20(sz00))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_310])]) ).
fof(f8256,plain,
( sz00 = sdtasdt0(sz00,sK20(sK20(sz00)))
| ~ spl32_278 ),
inference(resolution,[],[f8253,f181]) ).
fof(f8954,plain,
( spl32_309
| ~ spl32_278 ),
inference(avatar_split_clause,[],[f8255,f8251,f8951]) ).
fof(f8951,plain,
( spl32_309
<=> sz00 = sdtasdt0(sK20(sK20(sz00)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_309])]) ).
fof(f8255,plain,
( sz00 = sdtasdt0(sK20(sK20(sz00)),sz00)
| ~ spl32_278 ),
inference(resolution,[],[f8253,f180]) ).
fof(f8949,plain,
( spl32_308
| ~ spl32_277 ),
inference(avatar_split_clause,[],[f8219,f8214,f8946]) ).
fof(f8946,plain,
( spl32_308
<=> sz00 = sdtasdt0(sz00,sK19(sK20(sz00))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_308])]) ).
fof(f8219,plain,
( sz00 = sdtasdt0(sz00,sK19(sK20(sz00)))
| ~ spl32_277 ),
inference(resolution,[],[f8216,f181]) ).
fof(f8944,plain,
( spl32_307
| ~ spl32_277 ),
inference(avatar_split_clause,[],[f8218,f8214,f8941]) ).
fof(f8941,plain,
( spl32_307
<=> sz00 = sdtasdt0(sK19(sK20(sz00)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_307])]) ).
fof(f8218,plain,
( sz00 = sdtasdt0(sK19(sK20(sz00)),sz00)
| ~ spl32_277 ),
inference(resolution,[],[f8216,f180]) ).
fof(f8816,plain,
( spl32_306
| spl32_204
| ~ spl32_10
| ~ spl32_292 ),
inference(avatar_split_clause,[],[f8809,f8605,f280,f5229,f8813]) ).
fof(f8813,plain,
( spl32_306
<=> sP0(sK16,sK19(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_306])]) ).
fof(f8605,plain,
( spl32_292
<=> aElementOf0(sK19(sz00),sdtpldt1(xI,xJ)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_292])]) ).
fof(f8809,plain,
( ! [X0] :
( ~ aElement0(X0)
| sP0(sK16,sK19(sz00)) )
| ~ spl32_10
| ~ spl32_292 ),
inference(resolution,[],[f8615,f2866]) ).
fof(f8615,plain,
( ! [X10] :
( sP3(sK16,X10,sK19(sz00))
| ~ aElement0(X10) )
| ~ spl32_10
| ~ spl32_292 ),
inference(resolution,[],[f8607,f2263]) ).
fof(f8607,plain,
( aElementOf0(sK19(sz00),sdtpldt1(xI,xJ))
| ~ spl32_292 ),
inference(avatar_component_clause,[],[f8605]) ).
fof(f8808,plain,
( spl32_305
| ~ spl32_270 ),
inference(avatar_split_clause,[],[f8062,f8057,f8805]) ).
fof(f8805,plain,
( spl32_305
<=> sz00 = sdtasdt0(sz00,sK20(sK20(sK16))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_305])]) ).
fof(f8062,plain,
( sz00 = sdtasdt0(sz00,sK20(sK20(sK16)))
| ~ spl32_270 ),
inference(resolution,[],[f8059,f181]) ).
fof(f8803,plain,
( spl32_304
| ~ spl32_270 ),
inference(avatar_split_clause,[],[f8061,f8057,f8800]) ).
fof(f8800,plain,
( spl32_304
<=> sz00 = sdtasdt0(sK20(sK20(sK16)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_304])]) ).
fof(f8061,plain,
( sz00 = sdtasdt0(sK20(sK20(sK16)),sz00)
| ~ spl32_270 ),
inference(resolution,[],[f8059,f180]) ).
fof(f8798,plain,
( spl32_303
| ~ spl32_269 ),
inference(avatar_split_clause,[],[f7995,f7990,f8795]) ).
fof(f8795,plain,
( spl32_303
<=> sz00 = sdtasdt0(sz00,sK19(sK20(sK16))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_303])]) ).
fof(f7995,plain,
( sz00 = sdtasdt0(sz00,sK19(sK20(sK16)))
| ~ spl32_269 ),
inference(resolution,[],[f7992,f181]) ).
fof(f8791,plain,
( spl32_302
| ~ spl32_269 ),
inference(avatar_split_clause,[],[f7994,f7990,f8788]) ).
fof(f8788,plain,
( spl32_302
<=> sz00 = sdtasdt0(sK19(sK20(sK16)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_302])]) ).
fof(f7994,plain,
( sz00 = sdtasdt0(sK19(sK20(sK16)),sz00)
| ~ spl32_269 ),
inference(resolution,[],[f7992,f180]) ).
fof(f8786,plain,
( spl32_301
| ~ spl32_266 ),
inference(avatar_split_clause,[],[f7940,f7935,f8783]) ).
fof(f8783,plain,
( spl32_301
<=> sz00 = sdtasdt0(sz00,sK20(sK19(sK16))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_301])]) ).
fof(f7940,plain,
( sz00 = sdtasdt0(sz00,sK20(sK19(sK16)))
| ~ spl32_266 ),
inference(resolution,[],[f7937,f181]) ).
fof(f8781,plain,
( spl32_300
| ~ spl32_266 ),
inference(avatar_split_clause,[],[f7939,f7935,f8778]) ).
fof(f8778,plain,
( spl32_300
<=> sz00 = sdtasdt0(sK20(sK19(sK16)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_300])]) ).
fof(f7939,plain,
( sz00 = sdtasdt0(sK20(sK19(sK16)),sz00)
| ~ spl32_266 ),
inference(resolution,[],[f7937,f180]) ).
fof(f8776,plain,
( spl32_299
| ~ spl32_265 ),
inference(avatar_split_clause,[],[f7903,f7898,f8773]) ).
fof(f8773,plain,
( spl32_299
<=> sz00 = sdtasdt0(sz00,sK19(sK19(sK16))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_299])]) ).
fof(f7903,plain,
( sz00 = sdtasdt0(sz00,sK19(sK19(sK16)))
| ~ spl32_265 ),
inference(resolution,[],[f7900,f181]) ).
fof(f8771,plain,
( spl32_298
| ~ spl32_265 ),
inference(avatar_split_clause,[],[f7902,f7898,f8768]) ).
fof(f8768,plain,
( spl32_298
<=> sz00 = sdtasdt0(sK19(sK19(sK16)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_298])]) ).
fof(f7902,plain,
( sz00 = sdtasdt0(sK19(sK19(sK16)),sz00)
| ~ spl32_265 ),
inference(resolution,[],[f7900,f180]) ).
fof(f8751,plain,
( spl32_297
| spl32_204
| ~ spl32_10
| ~ spl32_274 ),
inference(avatar_split_clause,[],[f8744,f8159,f280,f5229,f8748]) ).
fof(f8748,plain,
( spl32_297
<=> sP0(sK16,sK20(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_297])]) ).
fof(f8159,plain,
( spl32_274
<=> aElementOf0(sK20(sz00),sdtpldt1(xI,xJ)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_274])]) ).
fof(f8744,plain,
( ! [X0] :
( ~ aElement0(X0)
| sP0(sK16,sK20(sz00)) )
| ~ spl32_10
| ~ spl32_274 ),
inference(resolution,[],[f8199,f2866]) ).
fof(f8199,plain,
( ! [X10] :
( sP3(sK16,X10,sK20(sz00))
| ~ aElement0(X10) )
| ~ spl32_10
| ~ spl32_274 ),
inference(resolution,[],[f8161,f2263]) ).
fof(f8161,plain,
( aElementOf0(sK20(sz00),sdtpldt1(xI,xJ))
| ~ spl32_274 ),
inference(avatar_component_clause,[],[f8159]) ).
fof(f8675,plain,
( spl32_296
| ~ spl32_3
| ~ spl32_294 ),
inference(avatar_split_clause,[],[f8670,f8626,f245,f8672]) ).
fof(f8626,plain,
( spl32_294
<=> aElementOf0(sK20(sK19(sz00)),xJ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_294])]) ).
fof(f8670,plain,
( aElement0(sK20(sK19(sz00)))
| ~ spl32_3
| ~ spl32_294 ),
inference(subsumption_resolution,[],[f8669,f247]) ).
fof(f8669,plain,
( aElement0(sK20(sK19(sz00)))
| ~ aSet0(xJ)
| ~ spl32_294 ),
inference(resolution,[],[f8628,f178]) ).
fof(f8628,plain,
( aElementOf0(sK20(sK19(sz00)),xJ)
| ~ spl32_294 ),
inference(avatar_component_clause,[],[f8626]) ).
fof(f8636,plain,
( spl32_295
| ~ spl32_1
| ~ spl32_293 ),
inference(avatar_split_clause,[],[f8631,f8618,f235,f8633]) ).
fof(f8618,plain,
( spl32_293
<=> aElementOf0(sK19(sK19(sz00)),xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_293])]) ).
fof(f8631,plain,
( aElement0(sK19(sK19(sz00)))
| ~ spl32_1
| ~ spl32_293 ),
inference(subsumption_resolution,[],[f8630,f237]) ).
fof(f8630,plain,
( aElement0(sK19(sK19(sz00)))
| ~ aSet0(xI)
| ~ spl32_293 ),
inference(resolution,[],[f8620,f178]) ).
fof(f8620,plain,
( aElementOf0(sK19(sK19(sz00)),xI)
| ~ spl32_293 ),
inference(avatar_component_clause,[],[f8618]) ).
fof(f8629,plain,
( spl32_294
| ~ spl32_292 ),
inference(avatar_split_clause,[],[f8613,f8605,f8626]) ).
fof(f8613,plain,
( aElementOf0(sK20(sK19(sz00)),xJ)
| ~ spl32_292 ),
inference(resolution,[],[f8607,f158]) ).
fof(f8621,plain,
( spl32_293
| ~ spl32_292 ),
inference(avatar_split_clause,[],[f8612,f8605,f8618]) ).
fof(f8612,plain,
( aElementOf0(sK19(sK19(sz00)),xI)
| ~ spl32_292 ),
inference(resolution,[],[f8607,f157]) ).
fof(f8608,plain,
( spl32_292
| ~ spl32_113
| ~ spl32_258
| ~ spl32_286 ),
inference(avatar_split_clause,[],[f8603,f8515,f7635,f1459,f8605]) ).
fof(f1459,plain,
( spl32_113
<=> aElementOf0(sz00,xJ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_113])]) ).
fof(f7635,plain,
( spl32_258
<=> aElementOf0(sK19(sz00),xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_258])]) ).
fof(f8515,plain,
( spl32_286
<=> sK19(sz00) = sdtpldt0(sK19(sz00),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_286])]) ).
fof(f8603,plain,
( aElementOf0(sK19(sz00),sdtpldt1(xI,xJ))
| ~ spl32_113
| ~ spl32_258
| ~ spl32_286 ),
inference(subsumption_resolution,[],[f8602,f7637]) ).
fof(f7637,plain,
( aElementOf0(sK19(sz00),xI)
| ~ spl32_258 ),
inference(avatar_component_clause,[],[f7635]) ).
fof(f8602,plain,
( aElementOf0(sK19(sz00),sdtpldt1(xI,xJ))
| ~ aElementOf0(sK19(sz00),xI)
| ~ spl32_113
| ~ spl32_286 ),
inference(subsumption_resolution,[],[f8595,f1461]) ).
fof(f1461,plain,
( aElementOf0(sz00,xJ)
| ~ spl32_113 ),
inference(avatar_component_clause,[],[f1459]) ).
fof(f8595,plain,
( aElementOf0(sK19(sz00),sdtpldt1(xI,xJ))
| ~ aElementOf0(sz00,xJ)
| ~ aElementOf0(sK19(sz00),xI)
| ~ spl32_286 ),
inference(superposition,[],[f2310,f8517]) ).
fof(f8517,plain,
( sK19(sz00) = sdtpldt0(sK19(sz00),sz00)
| ~ spl32_286 ),
inference(avatar_component_clause,[],[f8515]) ).
fof(f8557,plain,
( spl32_291
| spl32_204
| ~ spl32_10
| ~ spl32_262 ),
inference(avatar_split_clause,[],[f8550,f7783,f280,f5229,f8554]) ).
fof(f8554,plain,
( spl32_291
<=> sP0(sK16,sK20(sK16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_291])]) ).
fof(f7783,plain,
( spl32_262
<=> aElementOf0(sK20(sK16),sdtpldt1(xI,xJ)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_262])]) ).
fof(f8550,plain,
( ! [X0] :
( ~ aElement0(X0)
| sP0(sK16,sK20(sK16)) )
| ~ spl32_10
| ~ spl32_262 ),
inference(resolution,[],[f7975,f2866]) ).
fof(f7975,plain,
( ! [X10] :
( sP3(sK16,X10,sK20(sK16))
| ~ aElement0(X10) )
| ~ spl32_10
| ~ spl32_262 ),
inference(resolution,[],[f7785,f2263]) ).
fof(f7785,plain,
( aElementOf0(sK20(sK16),sdtpldt1(xI,xJ))
| ~ spl32_262 ),
inference(avatar_component_clause,[],[f7783]) ).
fof(f8541,plain,
( spl32_290
| spl32_204
| ~ spl32_10
| ~ spl32_261 ),
inference(avatar_split_clause,[],[f8534,f7778,f280,f5229,f8538]) ).
fof(f8538,plain,
( spl32_290
<=> sP0(sK16,sK19(sK16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_290])]) ).
fof(f7778,plain,
( spl32_261
<=> aElementOf0(sK19(sK16),sdtpldt1(xI,xJ)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_261])]) ).
fof(f8534,plain,
( ! [X0] :
( ~ aElement0(X0)
| sP0(sK16,sK19(sK16)) )
| ~ spl32_10
| ~ spl32_261 ),
inference(resolution,[],[f7793,f2866]) ).
fof(f7793,plain,
( ! [X10] :
( sP3(sK16,X10,sK19(sK16))
| ~ aElement0(X10) )
| ~ spl32_10
| ~ spl32_261 ),
inference(resolution,[],[f7780,f2263]) ).
fof(f7780,plain,
( aElementOf0(sK19(sK16),sdtpldt1(xI,xJ))
| ~ spl32_261 ),
inference(avatar_component_clause,[],[f7778]) ).
fof(f8533,plain,
( spl32_289
| ~ spl32_259 ),
inference(avatar_split_clause,[],[f7663,f7642,f8530]) ).
fof(f8530,plain,
( spl32_289
<=> sz00 = sdtasdt0(sz00,smndt0(sK19(sz00))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_289])]) ).
fof(f7663,plain,
( sz00 = sdtasdt0(sz00,smndt0(sK19(sz00)))
| ~ spl32_259 ),
inference(resolution,[],[f7644,f392]) ).
fof(f8528,plain,
( spl32_288
| ~ spl32_259 ),
inference(avatar_split_clause,[],[f7662,f7642,f8525]) ).
fof(f8525,plain,
( spl32_288
<=> sz00 = sdtasdt0(smndt0(sK19(sz00)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_288])]) ).
fof(f7662,plain,
( sz00 = sdtasdt0(smndt0(sK19(sz00)),sz00)
| ~ spl32_259 ),
inference(resolution,[],[f7644,f369]) ).
fof(f8523,plain,
( spl32_287
| ~ spl32_259 ),
inference(avatar_split_clause,[],[f7651,f7642,f8520]) ).
fof(f8520,plain,
( spl32_287
<=> sK19(sz00) = sdtpldt0(sz00,sK19(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_287])]) ).
fof(f7651,plain,
( sK19(sz00) = sdtpldt0(sz00,sK19(sz00))
| ~ spl32_259 ),
inference(resolution,[],[f7644,f185]) ).
fof(f8518,plain,
( spl32_286
| ~ spl32_259 ),
inference(avatar_split_clause,[],[f7650,f7642,f8515]) ).
fof(f7650,plain,
( sK19(sz00) = sdtpldt0(sK19(sz00),sz00)
| ~ spl32_259 ),
inference(resolution,[],[f7644,f184]) ).
fof(f8513,plain,
( spl32_285
| ~ spl32_259 ),
inference(avatar_split_clause,[],[f7649,f7642,f8510]) ).
fof(f8510,plain,
( spl32_285
<=> sK19(sz00) = sdtasdt0(sz10,sK19(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_285])]) ).
fof(f7649,plain,
( sK19(sz00) = sdtasdt0(sz10,sK19(sz00))
| ~ spl32_259 ),
inference(resolution,[],[f7644,f183]) ).
fof(f8508,plain,
( spl32_284
| ~ spl32_259 ),
inference(avatar_split_clause,[],[f7648,f7642,f8505]) ).
fof(f8505,plain,
( spl32_284
<=> sK19(sz00) = sdtasdt0(sK19(sz00),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_284])]) ).
fof(f7648,plain,
( sK19(sz00) = sdtasdt0(sK19(sz00),sz10)
| ~ spl32_259 ),
inference(resolution,[],[f7644,f182]) ).
fof(f8414,plain,
( spl32_283
| ~ spl32_3
| ~ spl32_281 ),
inference(avatar_split_clause,[],[f8409,f8366,f245,f8411]) ).
fof(f8366,plain,
( spl32_281
<=> aElementOf0(sK20(smndt0(sK19(sK16))),xJ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_281])]) ).
fof(f8409,plain,
( aElement0(sK20(smndt0(sK19(sK16))))
| ~ spl32_3
| ~ spl32_281 ),
inference(subsumption_resolution,[],[f8408,f247]) ).
fof(f8408,plain,
( aElement0(sK20(smndt0(sK19(sK16))))
| ~ aSet0(xJ)
| ~ spl32_281 ),
inference(resolution,[],[f8368,f178]) ).
fof(f8368,plain,
( aElementOf0(sK20(smndt0(sK19(sK16))),xJ)
| ~ spl32_281 ),
inference(avatar_component_clause,[],[f8366]) ).
fof(f8376,plain,
( spl32_282
| ~ spl32_1
| ~ spl32_280 ),
inference(avatar_split_clause,[],[f8371,f8361,f235,f8373]) ).
fof(f8361,plain,
( spl32_280
<=> aElementOf0(sK19(smndt0(sK19(sK16))),xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_280])]) ).
fof(f8371,plain,
( aElement0(sK19(smndt0(sK19(sK16))))
| ~ spl32_1
| ~ spl32_280 ),
inference(subsumption_resolution,[],[f8370,f237]) ).
fof(f8370,plain,
( aElement0(sK19(smndt0(sK19(sK16))))
| ~ aSet0(xI)
| ~ spl32_280 ),
inference(resolution,[],[f8363,f178]) ).
fof(f8363,plain,
( aElementOf0(sK19(smndt0(sK19(sK16))),xI)
| ~ spl32_280 ),
inference(avatar_component_clause,[],[f8361]) ).
fof(f8369,plain,
( spl32_281
| ~ spl32_279 ),
inference(avatar_split_clause,[],[f8356,f8347,f8366]) ).
fof(f8356,plain,
( aElementOf0(sK20(smndt0(sK19(sK16))),xJ)
| ~ spl32_279 ),
inference(resolution,[],[f8349,f158]) ).
fof(f8364,plain,
( spl32_280
| ~ spl32_279 ),
inference(avatar_split_clause,[],[f8355,f8347,f8361]) ).
fof(f8355,plain,
( aElementOf0(sK19(smndt0(sK19(sK16))),xI)
| ~ spl32_279 ),
inference(resolution,[],[f8349,f157]) ).
fof(f8350,plain,
( spl32_279
| ~ spl32_113
| ~ spl32_121
| ~ spl32_233 ),
inference(avatar_split_clause,[],[f7602,f6790,f1501,f1459,f8347]) ).
fof(f1501,plain,
( spl32_121
<=> aElementOf0(smndt0(sK19(sK16)),xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_121])]) ).
fof(f6790,plain,
( spl32_233
<=> smndt0(sK19(sK16)) = sdtpldt0(smndt0(sK19(sK16)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_233])]) ).
fof(f7602,plain,
( aElementOf0(smndt0(sK19(sK16)),sdtpldt1(xI,xJ))
| ~ spl32_113
| ~ spl32_121
| ~ spl32_233 ),
inference(subsumption_resolution,[],[f7601,f1503]) ).
fof(f1503,plain,
( aElementOf0(smndt0(sK19(sK16)),xI)
| ~ spl32_121 ),
inference(avatar_component_clause,[],[f1501]) ).
fof(f7601,plain,
( aElementOf0(smndt0(sK19(sK16)),sdtpldt1(xI,xJ))
| ~ aElementOf0(smndt0(sK19(sK16)),xI)
| ~ spl32_113
| ~ spl32_233 ),
inference(subsumption_resolution,[],[f7542,f1461]) ).
fof(f7542,plain,
( aElementOf0(smndt0(sK19(sK16)),sdtpldt1(xI,xJ))
| ~ aElementOf0(sz00,xJ)
| ~ aElementOf0(smndt0(sK19(sK16)),xI)
| ~ spl32_233 ),
inference(superposition,[],[f2310,f6792]) ).
fof(f6792,plain,
( smndt0(sK19(sK16)) = sdtpldt0(smndt0(sK19(sK16)),sz00)
| ~ spl32_233 ),
inference(avatar_component_clause,[],[f6790]) ).
fof(f8254,plain,
( spl32_278
| ~ spl32_3
| ~ spl32_276 ),
inference(avatar_split_clause,[],[f8249,f8207,f245,f8251]) ).
fof(f8207,plain,
( spl32_276
<=> aElementOf0(sK20(sK20(sz00)),xJ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_276])]) ).
fof(f8249,plain,
( aElement0(sK20(sK20(sz00)))
| ~ spl32_3
| ~ spl32_276 ),
inference(subsumption_resolution,[],[f8248,f247]) ).
fof(f8248,plain,
( aElement0(sK20(sK20(sz00)))
| ~ aSet0(xJ)
| ~ spl32_276 ),
inference(resolution,[],[f8209,f178]) ).
fof(f8209,plain,
( aElementOf0(sK20(sK20(sz00)),xJ)
| ~ spl32_276 ),
inference(avatar_component_clause,[],[f8207]) ).
fof(f8217,plain,
( spl32_277
| ~ spl32_1
| ~ spl32_275 ),
inference(avatar_split_clause,[],[f8212,f8202,f235,f8214]) ).
fof(f8202,plain,
( spl32_275
<=> aElementOf0(sK19(sK20(sz00)),xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_275])]) ).
fof(f8212,plain,
( aElement0(sK19(sK20(sz00)))
| ~ spl32_1
| ~ spl32_275 ),
inference(subsumption_resolution,[],[f8211,f237]) ).
fof(f8211,plain,
( aElement0(sK19(sK20(sz00)))
| ~ aSet0(xI)
| ~ spl32_275 ),
inference(resolution,[],[f8204,f178]) ).
fof(f8204,plain,
( aElementOf0(sK19(sK20(sz00)),xI)
| ~ spl32_275 ),
inference(avatar_component_clause,[],[f8202]) ).
fof(f8210,plain,
( spl32_276
| ~ spl32_274 ),
inference(avatar_split_clause,[],[f8197,f8159,f8207]) ).
fof(f8197,plain,
( aElementOf0(sK20(sK20(sz00)),xJ)
| ~ spl32_274 ),
inference(resolution,[],[f8161,f158]) ).
fof(f8205,plain,
( spl32_275
| ~ spl32_274 ),
inference(avatar_split_clause,[],[f8196,f8159,f8202]) ).
fof(f8196,plain,
( aElementOf0(sK19(sK20(sz00)),xI)
| ~ spl32_274 ),
inference(resolution,[],[f8161,f157]) ).
fof(f8162,plain,
( spl32_274
| ~ spl32_110
| ~ spl32_247
| ~ spl32_254 ),
inference(avatar_split_clause,[],[f8157,f7475,f7246,f1374,f8159]) ).
fof(f7246,plain,
( spl32_247
<=> aElementOf0(sK20(sz00),xJ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_247])]) ).
fof(f7475,plain,
( spl32_254
<=> sK20(sz00) = sdtpldt0(sz00,sK20(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_254])]) ).
fof(f8157,plain,
( aElementOf0(sK20(sz00),sdtpldt1(xI,xJ))
| ~ spl32_110
| ~ spl32_247
| ~ spl32_254 ),
inference(subsumption_resolution,[],[f8156,f1376]) ).
fof(f8156,plain,
( aElementOf0(sK20(sz00),sdtpldt1(xI,xJ))
| ~ aElementOf0(sz00,xI)
| ~ spl32_247
| ~ spl32_254 ),
inference(subsumption_resolution,[],[f8150,f7248]) ).
fof(f7248,plain,
( aElementOf0(sK20(sz00),xJ)
| ~ spl32_247 ),
inference(avatar_component_clause,[],[f7246]) ).
fof(f8150,plain,
( aElementOf0(sK20(sz00),sdtpldt1(xI,xJ))
| ~ aElementOf0(sK20(sz00),xJ)
| ~ aElementOf0(sz00,xI)
| ~ spl32_254 ),
inference(superposition,[],[f2310,f7477]) ).
fof(f7477,plain,
( sK20(sz00) = sdtpldt0(sz00,sK20(sz00))
| ~ spl32_254 ),
inference(avatar_component_clause,[],[f7475]) ).
fof(f8124,plain,
( spl32_273
| ~ spl32_257 ),
inference(avatar_split_clause,[],[f7631,f7620,f8121]) ).
fof(f8121,plain,
( spl32_273
<=> sz00 = sdtpldt0(sK19(sz00),sK20(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_273])]) ).
fof(f7620,plain,
( spl32_257
<=> aElementOf0(sz00,sdtpldt1(xI,xJ)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_257])]) ).
fof(f7631,plain,
( sz00 = sdtpldt0(sK19(sz00),sK20(sz00))
| ~ spl32_257 ),
inference(resolution,[],[f7622,f159]) ).
fof(f7622,plain,
( aElementOf0(sz00,sdtpldt1(xI,xJ))
| ~ spl32_257 ),
inference(avatar_component_clause,[],[f7620]) ).
fof(f8100,plain,
( spl32_272
| ~ spl32_259 ),
inference(avatar_split_clause,[],[f7647,f7642,f8097]) ).
fof(f8097,plain,
( spl32_272
<=> sz00 = sdtasdt0(sz00,sK19(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_272])]) ).
fof(f7647,plain,
( sz00 = sdtasdt0(sz00,sK19(sz00))
| ~ spl32_259 ),
inference(resolution,[],[f7644,f181]) ).
fof(f8095,plain,
( spl32_271
| ~ spl32_259 ),
inference(avatar_split_clause,[],[f7646,f7642,f8092]) ).
fof(f8092,plain,
( spl32_271
<=> sz00 = sdtasdt0(sK19(sz00),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_271])]) ).
fof(f7646,plain,
( sz00 = sdtasdt0(sK19(sz00),sz00)
| ~ spl32_259 ),
inference(resolution,[],[f7644,f180]) ).
fof(f8060,plain,
( spl32_270
| ~ spl32_3
| ~ spl32_268 ),
inference(avatar_split_clause,[],[f8055,f7983,f245,f8057]) ).
fof(f7983,plain,
( spl32_268
<=> aElementOf0(sK20(sK20(sK16)),xJ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_268])]) ).
fof(f8055,plain,
( aElement0(sK20(sK20(sK16)))
| ~ spl32_3
| ~ spl32_268 ),
inference(subsumption_resolution,[],[f8054,f247]) ).
fof(f8054,plain,
( aElement0(sK20(sK20(sK16)))
| ~ aSet0(xJ)
| ~ spl32_268 ),
inference(resolution,[],[f7985,f178]) ).
fof(f7985,plain,
( aElementOf0(sK20(sK20(sK16)),xJ)
| ~ spl32_268 ),
inference(avatar_component_clause,[],[f7983]) ).
fof(f7993,plain,
( spl32_269
| ~ spl32_1
| ~ spl32_267 ),
inference(avatar_split_clause,[],[f7988,f7978,f235,f7990]) ).
fof(f7978,plain,
( spl32_267
<=> aElementOf0(sK19(sK20(sK16)),xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_267])]) ).
fof(f7988,plain,
( aElement0(sK19(sK20(sK16)))
| ~ spl32_1
| ~ spl32_267 ),
inference(subsumption_resolution,[],[f7987,f237]) ).
fof(f7987,plain,
( aElement0(sK19(sK20(sK16)))
| ~ aSet0(xI)
| ~ spl32_267 ),
inference(resolution,[],[f7980,f178]) ).
fof(f7980,plain,
( aElementOf0(sK19(sK20(sK16)),xI)
| ~ spl32_267 ),
inference(avatar_component_clause,[],[f7978]) ).
fof(f7986,plain,
( spl32_268
| ~ spl32_262 ),
inference(avatar_split_clause,[],[f7973,f7783,f7983]) ).
fof(f7973,plain,
( aElementOf0(sK20(sK20(sK16)),xJ)
| ~ spl32_262 ),
inference(resolution,[],[f7785,f158]) ).
fof(f7981,plain,
( spl32_267
| ~ spl32_262 ),
inference(avatar_split_clause,[],[f7972,f7783,f7978]) ).
fof(f7972,plain,
( aElementOf0(sK19(sK20(sK16)),xI)
| ~ spl32_262 ),
inference(resolution,[],[f7785,f157]) ).
fof(f7938,plain,
( spl32_266
| ~ spl32_3
| ~ spl32_264 ),
inference(avatar_split_clause,[],[f7933,f7801,f245,f7935]) ).
fof(f7801,plain,
( spl32_264
<=> aElementOf0(sK20(sK19(sK16)),xJ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_264])]) ).
fof(f7933,plain,
( aElement0(sK20(sK19(sK16)))
| ~ spl32_3
| ~ spl32_264 ),
inference(subsumption_resolution,[],[f7932,f247]) ).
fof(f7932,plain,
( aElement0(sK20(sK19(sK16)))
| ~ aSet0(xJ)
| ~ spl32_264 ),
inference(resolution,[],[f7803,f178]) ).
fof(f7803,plain,
( aElementOf0(sK20(sK19(sK16)),xJ)
| ~ spl32_264 ),
inference(avatar_component_clause,[],[f7801]) ).
fof(f7901,plain,
( spl32_265
| ~ spl32_1
| ~ spl32_263 ),
inference(avatar_split_clause,[],[f7806,f7796,f235,f7898]) ).
fof(f7796,plain,
( spl32_263
<=> aElementOf0(sK19(sK19(sK16)),xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_263])]) ).
fof(f7806,plain,
( aElement0(sK19(sK19(sK16)))
| ~ spl32_1
| ~ spl32_263 ),
inference(subsumption_resolution,[],[f7805,f237]) ).
fof(f7805,plain,
( aElement0(sK19(sK19(sK16)))
| ~ aSet0(xI)
| ~ spl32_263 ),
inference(resolution,[],[f7798,f178]) ).
fof(f7798,plain,
( aElementOf0(sK19(sK19(sK16)),xI)
| ~ spl32_263 ),
inference(avatar_component_clause,[],[f7796]) ).
fof(f7804,plain,
( spl32_264
| ~ spl32_261 ),
inference(avatar_split_clause,[],[f7791,f7778,f7801]) ).
fof(f7791,plain,
( aElementOf0(sK20(sK19(sK16)),xJ)
| ~ spl32_261 ),
inference(resolution,[],[f7780,f158]) ).
fof(f7799,plain,
( spl32_263
| ~ spl32_261 ),
inference(avatar_split_clause,[],[f7790,f7778,f7796]) ).
fof(f7790,plain,
( aElementOf0(sK19(sK19(sK16)),xI)
| ~ spl32_261 ),
inference(resolution,[],[f7780,f157]) ).
fof(f7786,plain,
( spl32_262
| ~ spl32_15
| ~ spl32_67
| ~ spl32_110 ),
inference(avatar_split_clause,[],[f7616,f1374,f723,f310,f7783]) ).
fof(f723,plain,
( spl32_67
<=> sK20(sK16) = sdtpldt0(sz00,sK20(sK16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_67])]) ).
fof(f7616,plain,
( aElementOf0(sK20(sK16),sdtpldt1(xI,xJ))
| ~ spl32_15
| ~ spl32_67
| ~ spl32_110 ),
inference(subsumption_resolution,[],[f7615,f1376]) ).
fof(f7615,plain,
( aElementOf0(sK20(sK16),sdtpldt1(xI,xJ))
| ~ aElementOf0(sz00,xI)
| ~ spl32_15
| ~ spl32_67 ),
inference(subsumption_resolution,[],[f7588,f312]) ).
fof(f7588,plain,
( aElementOf0(sK20(sK16),sdtpldt1(xI,xJ))
| ~ aElementOf0(sK20(sK16),xJ)
| ~ aElementOf0(sz00,xI)
| ~ spl32_67 ),
inference(superposition,[],[f2310,f725]) ).
fof(f725,plain,
( sK20(sK16) = sdtpldt0(sz00,sK20(sK16))
| ~ spl32_67 ),
inference(avatar_component_clause,[],[f723]) ).
fof(f7781,plain,
( spl32_261
| ~ spl32_13
| ~ spl32_62
| ~ spl32_113 ),
inference(avatar_split_clause,[],[f7605,f1459,f691,f298,f7778]) ).
fof(f691,plain,
( spl32_62
<=> sK19(sK16) = sdtpldt0(sK19(sK16),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_62])]) ).
fof(f7605,plain,
( aElementOf0(sK19(sK16),sdtpldt1(xI,xJ))
| ~ spl32_13
| ~ spl32_62
| ~ spl32_113 ),
inference(subsumption_resolution,[],[f7604,f300]) ).
fof(f7604,plain,
( aElementOf0(sK19(sK16),sdtpldt1(xI,xJ))
| ~ aElementOf0(sK19(sK16),xI)
| ~ spl32_62
| ~ spl32_113 ),
inference(subsumption_resolution,[],[f7547,f1461]) ).
fof(f7547,plain,
( aElementOf0(sK19(sK16),sdtpldt1(xI,xJ))
| ~ aElementOf0(sz00,xJ)
| ~ aElementOf0(sK19(sK16),xI)
| ~ spl32_62 ),
inference(superposition,[],[f2310,f693]) ).
fof(f693,plain,
( sK19(sK16) = sdtpldt0(sK19(sK16),sz00)
| ~ spl32_62 ),
inference(avatar_component_clause,[],[f691]) ).
fof(f7773,plain,
( spl32_260
| spl32_204
| ~ spl32_10
| ~ spl32_257 ),
inference(avatar_split_clause,[],[f7766,f7620,f280,f5229,f7770]) ).
fof(f7770,plain,
( spl32_260
<=> sP0(sK16,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_260])]) ).
fof(f7766,plain,
( ! [X0] :
( ~ aElement0(X0)
| sP0(sK16,sz00) )
| ~ spl32_10
| ~ spl32_257 ),
inference(resolution,[],[f7632,f2866]) ).
fof(f7632,plain,
( ! [X10] :
( sP3(sK16,X10,sz00)
| ~ aElement0(X10) )
| ~ spl32_10
| ~ spl32_257 ),
inference(resolution,[],[f7622,f2263]) ).
fof(f7645,plain,
( spl32_259
| ~ spl32_1
| ~ spl32_258 ),
inference(avatar_split_clause,[],[f7640,f7635,f235,f7642]) ).
fof(f7640,plain,
( aElement0(sK19(sz00))
| ~ spl32_1
| ~ spl32_258 ),
inference(subsumption_resolution,[],[f7639,f237]) ).
fof(f7639,plain,
( aElement0(sK19(sz00))
| ~ aSet0(xI)
| ~ spl32_258 ),
inference(resolution,[],[f7637,f178]) ).
fof(f7638,plain,
( spl32_258
| ~ spl32_257 ),
inference(avatar_split_clause,[],[f7629,f7620,f7635]) ).
fof(f7629,plain,
( aElementOf0(sK19(sz00),xI)
| ~ spl32_257 ),
inference(resolution,[],[f7622,f157]) ).
fof(f7625,plain,
( spl32_257
| ~ spl32_77
| ~ spl32_110
| ~ spl32_113
| ~ spl32_187 ),
inference(avatar_split_clause,[],[f7609,f4093,f1459,f1374,f890,f7620]) ).
fof(f890,plain,
( spl32_77
<=> sz00 = sdtpldt0(sz00,smndt0(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_77])]) ).
fof(f4093,plain,
( spl32_187
<=> sz00 = smndt0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_187])]) ).
fof(f7609,plain,
( aElementOf0(sz00,sdtpldt1(xI,xJ))
| ~ spl32_77
| ~ spl32_110
| ~ spl32_113
| ~ spl32_187 ),
inference(subsumption_resolution,[],[f7608,f1461]) ).
fof(f7608,plain,
( ~ aElementOf0(sz00,xJ)
| aElementOf0(sz00,sdtpldt1(xI,xJ))
| ~ spl32_77
| ~ spl32_110
| ~ spl32_187 ),
inference(forward_demodulation,[],[f7607,f4095]) ).
fof(f4095,plain,
( sz00 = smndt0(sz00)
| ~ spl32_187 ),
inference(avatar_component_clause,[],[f4093]) ).
fof(f7607,plain,
( aElementOf0(sz00,sdtpldt1(xI,xJ))
| ~ aElementOf0(smndt0(sz00),xJ)
| ~ spl32_77
| ~ spl32_110 ),
inference(subsumption_resolution,[],[f7556,f1376]) ).
fof(f7556,plain,
( aElementOf0(sz00,sdtpldt1(xI,xJ))
| ~ aElementOf0(smndt0(sz00),xJ)
| ~ aElementOf0(sz00,xI)
| ~ spl32_77 ),
inference(superposition,[],[f2310,f892]) ).
fof(f892,plain,
( sz00 = sdtpldt0(sz00,smndt0(sz00))
| ~ spl32_77 ),
inference(avatar_component_clause,[],[f890]) ).
fof(f7624,plain,
( spl32_257
| ~ spl32_79
| ~ spl32_110
| ~ spl32_113
| ~ spl32_187 ),
inference(avatar_split_clause,[],[f7599,f4093,f1459,f1374,f900,f7620]) ).
fof(f900,plain,
( spl32_79
<=> sz00 = sdtpldt0(smndt0(sz00),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_79])]) ).
fof(f7599,plain,
( aElementOf0(sz00,sdtpldt1(xI,xJ))
| ~ spl32_79
| ~ spl32_110
| ~ spl32_113
| ~ spl32_187 ),
inference(subsumption_resolution,[],[f7598,f1376]) ).
fof(f7598,plain,
( ~ aElementOf0(sz00,xI)
| aElementOf0(sz00,sdtpldt1(xI,xJ))
| ~ spl32_79
| ~ spl32_113
| ~ spl32_187 ),
inference(forward_demodulation,[],[f7597,f4095]) ).
fof(f7597,plain,
( aElementOf0(sz00,sdtpldt1(xI,xJ))
| ~ aElementOf0(smndt0(sz00),xI)
| ~ spl32_79
| ~ spl32_113 ),
inference(subsumption_resolution,[],[f7537,f1461]) ).
fof(f7537,plain,
( aElementOf0(sz00,sdtpldt1(xI,xJ))
| ~ aElementOf0(sz00,xJ)
| ~ aElementOf0(smndt0(sz00),xI)
| ~ spl32_79 ),
inference(superposition,[],[f2310,f902]) ).
fof(f902,plain,
( sz00 = sdtpldt0(smndt0(sz00),sz00)
| ~ spl32_79 ),
inference(avatar_component_clause,[],[f900]) ).
fof(f7623,plain,
( spl32_257
| ~ spl32_53
| ~ spl32_110
| ~ spl32_113 ),
inference(avatar_split_clause,[],[f7596,f1459,f1374,f643,f7620]) ).
fof(f643,plain,
( spl32_53
<=> sz00 = sdtpldt0(sz00,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_53])]) ).
fof(f7596,plain,
( aElementOf0(sz00,sdtpldt1(xI,xJ))
| ~ spl32_53
| ~ spl32_110
| ~ spl32_113 ),
inference(subsumption_resolution,[],[f7595,f1376]) ).
fof(f7595,plain,
( aElementOf0(sz00,sdtpldt1(xI,xJ))
| ~ aElementOf0(sz00,xI)
| ~ spl32_53
| ~ spl32_113 ),
inference(subsumption_resolution,[],[f7535,f1461]) ).
fof(f7535,plain,
( aElementOf0(sz00,sdtpldt1(xI,xJ))
| ~ aElementOf0(sz00,xJ)
| ~ aElementOf0(sz00,xI)
| ~ spl32_53 ),
inference(superposition,[],[f2310,f645]) ).
fof(f645,plain,
( sz00 = sdtpldt0(sz00,sz00)
| ~ spl32_53 ),
inference(avatar_component_clause,[],[f643]) ).
fof(f7488,plain,
( spl32_256
| ~ spl32_248 ),
inference(avatar_split_clause,[],[f7278,f7257,f7485]) ).
fof(f7485,plain,
( spl32_256
<=> sz00 = sdtasdt0(sz00,smndt0(sK20(sz00))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_256])]) ).
fof(f7278,plain,
( sz00 = sdtasdt0(sz00,smndt0(sK20(sz00)))
| ~ spl32_248 ),
inference(resolution,[],[f7259,f392]) ).
fof(f7483,plain,
( spl32_255
| ~ spl32_248 ),
inference(avatar_split_clause,[],[f7277,f7257,f7480]) ).
fof(f7480,plain,
( spl32_255
<=> sz00 = sdtasdt0(smndt0(sK20(sz00)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_255])]) ).
fof(f7277,plain,
( sz00 = sdtasdt0(smndt0(sK20(sz00)),sz00)
| ~ spl32_248 ),
inference(resolution,[],[f7259,f369]) ).
fof(f7478,plain,
( spl32_254
| ~ spl32_248 ),
inference(avatar_split_clause,[],[f7266,f7257,f7475]) ).
fof(f7266,plain,
( sK20(sz00) = sdtpldt0(sz00,sK20(sz00))
| ~ spl32_248 ),
inference(resolution,[],[f7259,f185]) ).
fof(f7473,plain,
( spl32_253
| ~ spl32_248 ),
inference(avatar_split_clause,[],[f7265,f7257,f7470]) ).
fof(f7470,plain,
( spl32_253
<=> sK20(sz00) = sdtpldt0(sK20(sz00),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_253])]) ).
fof(f7265,plain,
( sK20(sz00) = sdtpldt0(sK20(sz00),sz00)
| ~ spl32_248 ),
inference(resolution,[],[f7259,f184]) ).
fof(f7468,plain,
( spl32_252
| ~ spl32_248 ),
inference(avatar_split_clause,[],[f7264,f7257,f7465]) ).
fof(f7465,plain,
( spl32_252
<=> sK20(sz00) = sdtasdt0(sz10,sK20(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_252])]) ).
fof(f7264,plain,
( sK20(sz00) = sdtasdt0(sz10,sK20(sz00))
| ~ spl32_248 ),
inference(resolution,[],[f7259,f183]) ).
fof(f7463,plain,
( spl32_251
| ~ spl32_248 ),
inference(avatar_split_clause,[],[f7263,f7257,f7460]) ).
fof(f7460,plain,
( spl32_251
<=> sK20(sz00) = sdtasdt0(sK20(sz00),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_251])]) ).
fof(f7263,plain,
( sK20(sz00) = sdtasdt0(sK20(sz00),sz10)
| ~ spl32_248 ),
inference(resolution,[],[f7259,f182]) ).
fof(f7301,plain,
( spl32_250
| ~ spl32_248 ),
inference(avatar_split_clause,[],[f7262,f7257,f7298]) ).
fof(f7298,plain,
( spl32_250
<=> sz00 = sdtasdt0(sz00,sK20(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_250])]) ).
fof(f7262,plain,
( sz00 = sdtasdt0(sz00,sK20(sz00))
| ~ spl32_248 ),
inference(resolution,[],[f7259,f181]) ).
fof(f7296,plain,
( spl32_249
| ~ spl32_248 ),
inference(avatar_split_clause,[],[f7261,f7257,f7293]) ).
fof(f7293,plain,
( spl32_249
<=> sz00 = sdtasdt0(sK20(sz00),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_249])]) ).
fof(f7261,plain,
( sz00 = sdtasdt0(sK20(sz00),sz00)
| ~ spl32_248 ),
inference(resolution,[],[f7259,f180]) ).
fof(f7260,plain,
( spl32_248
| ~ spl32_3
| ~ spl32_247 ),
inference(avatar_split_clause,[],[f7255,f7246,f245,f7257]) ).
fof(f7255,plain,
( aElement0(sK20(sz00))
| ~ spl32_3
| ~ spl32_247 ),
inference(subsumption_resolution,[],[f7254,f247]) ).
fof(f7254,plain,
( aElement0(sK20(sz00))
| ~ aSet0(xJ)
| ~ spl32_247 ),
inference(resolution,[],[f7248,f178]) ).
fof(f7253,plain,
( ~ spl32_53
| ~ spl32_110
| ~ spl32_113
| spl32_247 ),
inference(avatar_contradiction_clause,[],[f7252]) ).
fof(f7252,plain,
( $false
| ~ spl32_53
| ~ spl32_110
| ~ spl32_113
| spl32_247 ),
inference(trivial_inequality_removal,[],[f7251]) ).
fof(f7251,plain,
( sz00 != sz00
| ~ spl32_53
| ~ spl32_110
| ~ spl32_113
| spl32_247 ),
inference(resolution,[],[f7247,f2719]) ).
fof(f2719,plain,
( ! [X4] :
( aElementOf0(sK20(X4),xJ)
| sz00 != X4 )
| ~ spl32_53
| ~ spl32_110
| ~ spl32_113 ),
inference(resolution,[],[f2312,f158]) ).
fof(f2312,plain,
( ! [X0] :
( aElementOf0(X0,sdtpldt1(xI,xJ))
| sz00 != X0 )
| ~ spl32_53
| ~ spl32_110
| ~ spl32_113 ),
inference(subsumption_resolution,[],[f2311,f1376]) ).
fof(f2311,plain,
( ! [X0] :
( sz00 != X0
| aElementOf0(X0,sdtpldt1(xI,xJ))
| ~ aElementOf0(sz00,xI) )
| ~ spl32_53
| ~ spl32_113 ),
inference(subsumption_resolution,[],[f2277,f1461]) ).
fof(f2277,plain,
( ! [X0] :
( sz00 != X0
| aElementOf0(X0,sdtpldt1(xI,xJ))
| ~ aElementOf0(sz00,xJ)
| ~ aElementOf0(sz00,xI) )
| ~ spl32_53 ),
inference(superposition,[],[f160,f645]) ).
fof(f7247,plain,
( ~ aElementOf0(sK20(sz00),xJ)
| spl32_247 ),
inference(avatar_component_clause,[],[f7246]) ).
fof(f7249,plain,
( ~ spl32_246
| spl32_247
| ~ spl32_6
| ~ spl32_49 ),
inference(avatar_split_clause,[],[f7163,f617,f260,f7246,f7242]) ).
fof(f7242,plain,
( spl32_246
<=> sP4(sdtpldt1(xI,xJ),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_246])]) ).
fof(f260,plain,
( spl32_6
<=> aElement0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_6])]) ).
fof(f617,plain,
( spl32_49
<=> sz00 = sdtasdt0(sz00,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_49])]) ).
fof(f7163,plain,
( aElementOf0(sK20(sz00),xJ)
| ~ sP4(sdtpldt1(xI,xJ),sz00)
| ~ spl32_6
| ~ spl32_49 ),
inference(subsumption_resolution,[],[f7072,f262]) ).
fof(f262,plain,
( aElement0(sz00)
| ~ spl32_6 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f7072,plain,
( aElementOf0(sK20(sz00),xJ)
| ~ sP4(sdtpldt1(xI,xJ),sz00)
| ~ aElement0(sz00)
| ~ spl32_49 ),
inference(superposition,[],[f1545,f619]) ).
fof(f619,plain,
( sz00 = sdtasdt0(sz00,sz00)
| ~ spl32_49 ),
inference(avatar_component_clause,[],[f617]) ).
fof(f7239,plain,
( ~ spl32_245
| ~ spl32_5
| spl32_16
| ~ spl32_36
| ~ spl32_97
| ~ spl32_120 ),
inference(avatar_split_clause,[],[f7221,f1497,f1214,f495,f315,f255,f7235]) ).
fof(f7235,plain,
( spl32_245
<=> sP4(sdtpldt1(xI,xJ),sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_245])]) ).
fof(f495,plain,
( spl32_36
<=> sK18 = sdtasdt0(sz10,sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_36])]) ).
fof(f1214,plain,
( spl32_97
<=> smndt0(sK18) = sdtasdt0(smndt0(sz10),sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_97])]) ).
fof(f7221,plain,
( ~ sP4(sdtpldt1(xI,xJ),sK18)
| ~ spl32_5
| spl32_16
| ~ spl32_36
| ~ spl32_97
| ~ spl32_120 ),
inference(global_subsumption,[],[f7220,f165,f164,f163,f167,f170,f171,f174,f175,f176,f257,f177,f156,f166,f161,f196,f179,f162,f206,f157,f158,f178,f180,f181,f182,f183,f184,f497,f185,f213,f146,f147,f368,f391,f420,f149,f454,f504,f532,f150,f186,f702,f187,f729,f197,f198,f199,f225,f845,f846,f847,f848,f849,f850,f851,f852,f701,f728,f226,f909,f910,f911,f912,f913,f914,f915,f916,f142,f794,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f144,f369,f1029,f1030,f1031,f1042,f188,f1091,f1092,f1093,f1094,f1107,f189,f1170,f1171,f1172,f1173,f1186,f159,f1028,f169,f173,f130,f131,f191,f1542,f1544,f1546,f207,f1625,f208,f168,f172,f139,f140,f190,f1925,f1927,f1928,f1929,f222,f227,f1972,f1975,f1976,f1989,f228,f2129,f2133,f2134,f2146,f192,f2170,f2171,f2172,f2173,f204,f205,f155,f2271,f2273,f2274,f160,f2310,f143,f145,f209,f214,f215,f223,f2517,f134,f135,f148,f151,f193,f2681,f2682,f132,f194,f2704,f2705,f224,f229,f133,f2861,f2862,f2863,f2864,f137,f138,f218,f3042,f3043,f3044,f3045,f3046,f3047,f3048,f3049,f3050,f3051,f219,f3078,f3079,f3080,f3081,f3082,f3083,f3084,f3085,f3086,f3087,f153,f3163,f3165,f3166,f3167,f3168,f3169,f3170,f154,f3230,f3232,f3233,f3234,f3235,f3236,f3237,f195,f3298,f3299,f200,f3329,f3328,f201,f202,f3400,f203,f230,f3463,f3464,f3470,f3471,f3488,f231,f3490,f3491,f3497,f3498,f3515,f210,f3531,f3538,f3524,f3525,f3526,f3527,f3528,f3529,f3530,f211,f3557,f3564,f3550,f3551,f3552,f3553,f3554,f3555,f3556,f216,f217,f3733,f232,f3770,f3771,f3777,f3778,f3793,f233,f3852,f3853,f3858,f3859,f3874,f136,f3875,f152,f3918,f212,f220,f4012,f4013,f4014,f4015,f4016,f4017,f4018,f221,f141,f4085,f2865,f2866,f392,f4946,f4953,f4954,f4973,f1969,f421,f5826,f5832,f5835,f5853,f455,f5913,f5919,f5922,f5940,f505,f5960,f5966,f5969,f5987,f533,f6092,f6098,f6101,f6119,f1971,f6737,f6743,f6746,f6764,f316,f2128,f6907,f6913,f6916,f6933,f2196,f6967,f6969,f6970,f6971,f1545,f7219]) ).
fof(f7219,plain,
( ~ sP4(sdtpldt1(xI,xJ),sK18)
| ~ spl32_5
| spl32_16
| ~ spl32_36 ),
inference(subsumption_resolution,[],[f7218,f257]) ).
fof(f7218,plain,
( ~ sP4(sdtpldt1(xI,xJ),sK18)
| ~ aElement0(sz10)
| spl32_16
| ~ spl32_36 ),
inference(subsumption_resolution,[],[f7148,f316]) ).
fof(f7148,plain,
( aElementOf0(sK20(sK18),xJ)
| ~ sP4(sdtpldt1(xI,xJ),sK18)
| ~ aElement0(sz10)
| ~ spl32_36 ),
inference(superposition,[],[f1545,f497]) ).
fof(f6933,plain,
( ! [X27] :
( sdtpldt0(sK23(X27),sz10) = sdtpldt0(sz10,sK23(X27))
| ~ aSet0(X27)
| aIdeal0(X27) )
| ~ spl32_5 ),
inference(resolution,[],[f2128,f794]) ).
fof(f6916,plain,
( ! [X8,X7] :
( sdtpldt0(sdtasdt0(X7,X8),sz10) = sdtpldt0(sz10,sdtasdt0(X7,X8))
| ~ aElement0(X8)
| ~ aElement0(X7) )
| ~ spl32_5 ),
inference(resolution,[],[f2128,f225]) ).
fof(f6913,plain,
( ! [X2,X1] :
( sdtpldt0(sdtpldt0(X1,X2),sz10) = sdtpldt0(sz10,sdtpldt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl32_5 ),
inference(resolution,[],[f2128,f226]) ).
fof(f6907,plain,
( ! [X0] :
( sdtpldt0(smndt0(X0),sz10) = sdtpldt0(sz10,smndt0(X0))
| ~ aElement0(X0) )
| ~ spl32_5 ),
inference(resolution,[],[f2128,f179]) ).
fof(f316,plain,
( ~ aElementOf0(sK20(sK18),xJ)
| spl32_16 ),
inference(avatar_component_clause,[],[f315]) ).
fof(f6764,plain,
( ! [X27] :
( sdtasdt0(sK23(X27),sz10) = sdtasdt0(sz10,sK23(X27))
| ~ aSet0(X27)
| aIdeal0(X27) )
| ~ spl32_5 ),
inference(resolution,[],[f1971,f794]) ).
fof(f6746,plain,
( ! [X8,X7] :
( sdtasdt0(sdtasdt0(X7,X8),sz10) = sdtasdt0(sz10,sdtasdt0(X7,X8))
| ~ aElement0(X8)
| ~ aElement0(X7) )
| ~ spl32_5 ),
inference(resolution,[],[f1971,f225]) ).
fof(f6743,plain,
( ! [X2,X1] :
( sdtasdt0(sdtpldt0(X1,X2),sz10) = sdtasdt0(sz10,sdtpldt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl32_5 ),
inference(resolution,[],[f1971,f226]) ).
fof(f6737,plain,
( ! [X0] :
( sdtasdt0(smndt0(X0),sz10) = sdtasdt0(sz10,smndt0(X0))
| ~ aElement0(X0) )
| ~ spl32_5 ),
inference(resolution,[],[f1971,f179]) ).
fof(f1971,plain,
( ! [X1] :
( ~ aElement0(X1)
| sdtasdt0(X1,sz10) = sdtasdt0(sz10,X1) )
| ~ spl32_5 ),
inference(resolution,[],[f227,f257]) ).
fof(f3852,plain,
( ! [X2,X3] :
( sdtasdt0(sdtpldt0(X2,sz10),X3) = sdtpldt0(sdtasdt0(X2,X3),sdtasdt0(sz10,X3))
| ~ aElement0(X2)
| ~ aElement0(X3) )
| ~ spl32_5 ),
inference(resolution,[],[f233,f257]) ).
fof(f3770,plain,
( ! [X2,X3] :
( sdtasdt0(X2,sdtpldt0(X3,sz10)) = sdtpldt0(sdtasdt0(X2,X3),sdtasdt0(X2,sz10))
| ~ aElement0(X3)
| ~ aElement0(X2) )
| ~ spl32_5 ),
inference(resolution,[],[f232,f257]) ).
fof(f3490,plain,
( ! [X2,X3] :
( sdtpldt0(sdtpldt0(X2,X3),sz10) = sdtpldt0(X2,sdtpldt0(X3,sz10))
| ~ aElement0(X3)
| ~ aElement0(X2) )
| ~ spl32_5 ),
inference(resolution,[],[f231,f257]) ).
fof(f3463,plain,
( ! [X2,X3] :
( sdtasdt0(sdtasdt0(X2,X3),sz10) = sdtasdt0(X2,sdtasdt0(X3,sz10))
| ~ aElement0(X3)
| ~ aElement0(X2) )
| ~ spl32_5 ),
inference(resolution,[],[f230,f257]) ).
fof(f1625,plain,
( ! [X35] :
( ~ sP4(X35,sK18)
| aElementOf0(sK18,X35) )
| ~ spl32_5
| ~ spl32_36 ),
inference(subsumption_resolution,[],[f1582,f257]) ).
fof(f1582,plain,
( ! [X35] :
( aElementOf0(sK18,X35)
| ~ aElement0(sz10)
| ~ sP4(X35,sK18) )
| ~ spl32_36 ),
inference(superposition,[],[f191,f497]) ).
fof(f1028,plain,
( sz00 = sdtasdt0(smndt0(sz10),sz00)
| ~ spl32_5 ),
inference(resolution,[],[f369,f257]) ).
fof(f1170,plain,
( smndt0(sz10) = sdtasdt0(sz10,smndt0(sz10))
| ~ spl32_5 ),
inference(resolution,[],[f189,f257]) ).
fof(f1091,plain,
( smndt0(sz10) = sdtasdt0(smndt0(sz10),sz10)
| ~ spl32_5 ),
inference(resolution,[],[f188,f257]) ).
fof(f728,plain,
( sz00 = sdtpldt0(smndt0(sz10),sz10)
| ~ spl32_5 ),
inference(resolution,[],[f187,f257]) ).
fof(f701,plain,
( sz00 = sdtpldt0(sz10,smndt0(sz10))
| ~ spl32_5 ),
inference(resolution,[],[f186,f257]) ).
fof(f532,plain,
( sz10 = sdtpldt0(sz00,sz10)
| ~ spl32_5 ),
inference(resolution,[],[f185,f257]) ).
fof(f504,plain,
( sz10 = sdtpldt0(sz10,sz00)
| ~ spl32_5 ),
inference(resolution,[],[f184,f257]) ).
fof(f454,plain,
( sz10 = sdtasdt0(sz10,sz10)
| ~ spl32_5 ),
inference(resolution,[],[f183,f257]) ).
fof(f420,plain,
( sz10 = sdtasdt0(sz10,sz10)
| ~ spl32_5 ),
inference(resolution,[],[f182,f257]) ).
fof(f391,plain,
( sz00 = sdtasdt0(sz00,sz10)
| ~ spl32_5 ),
inference(resolution,[],[f181,f257]) ).
fof(f368,plain,
( sz00 = sdtasdt0(sz10,sz00)
| ~ spl32_5 ),
inference(resolution,[],[f180,f257]) ).
fof(f497,plain,
( sK18 = sdtasdt0(sz10,sK18)
| ~ spl32_36 ),
inference(avatar_component_clause,[],[f495]) ).
fof(f7220,plain,
( aElementOf0(sK20(smndt0(sK18)),xJ)
| ~ sP4(sdtpldt1(xI,xJ),sK18)
| ~ spl32_97
| ~ spl32_120 ),
inference(subsumption_resolution,[],[f7149,f1498]) ).
fof(f7149,plain,
( aElementOf0(sK20(smndt0(sK18)),xJ)
| ~ sP4(sdtpldt1(xI,xJ),sK18)
| ~ aElement0(smndt0(sz10))
| ~ spl32_97 ),
inference(superposition,[],[f1545,f1216]) ).
fof(f1216,plain,
( smndt0(sK18) = sdtasdt0(smndt0(sz10),sK18)
| ~ spl32_97 ),
inference(avatar_component_clause,[],[f1214]) ).
fof(f7238,plain,
( ~ spl32_245
| ~ spl32_5
| spl32_16
| ~ spl32_36 ),
inference(avatar_split_clause,[],[f7219,f495,f315,f255,f7235]) ).
fof(f6958,plain,
( spl32_244
| ~ spl32_12
| ~ spl32_22 ),
inference(avatar_split_clause,[],[f6724,f358,f291,f6955]) ).
fof(f6955,plain,
( spl32_244
<=> sdtpldt0(sK20(sK16),sK17) = sdtpldt0(sK17,sK20(sK16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_244])]) ).
fof(f6724,plain,
( sdtpldt0(sK20(sK16),sK17) = sdtpldt0(sK17,sK20(sK16))
| ~ spl32_12
| ~ spl32_22 ),
inference(resolution,[],[f6559,f360]) ).
fof(f6559,plain,
( ! [X1] :
( ~ aElement0(X1)
| sdtpldt0(X1,sK17) = sdtpldt0(sK17,X1) )
| ~ spl32_12 ),
inference(resolution,[],[f293,f228]) ).
fof(f6953,plain,
( spl32_243
| ~ spl32_12
| ~ spl32_20 ),
inference(avatar_split_clause,[],[f6720,f348,f291,f6950]) ).
fof(f6950,plain,
( spl32_243
<=> sdtpldt0(sK19(sK16),sK17) = sdtpldt0(sK17,sK19(sK16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_243])]) ).
fof(f6720,plain,
( sdtpldt0(sK19(sK16),sK17) = sdtpldt0(sK17,sK19(sK16))
| ~ spl32_12
| ~ spl32_20 ),
inference(resolution,[],[f6559,f350]) ).
fof(f6948,plain,
( spl32_242
| ~ spl32_12
| ~ spl32_22 ),
inference(avatar_split_clause,[],[f6660,f358,f291,f6945]) ).
fof(f6945,plain,
( spl32_242
<=> sdtasdt0(sK20(sK16),sK17) = sdtasdt0(sK17,sK20(sK16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_242])]) ).
fof(f6660,plain,
( sdtasdt0(sK20(sK16),sK17) = sdtasdt0(sK17,sK20(sK16))
| ~ spl32_12
| ~ spl32_22 ),
inference(resolution,[],[f6558,f360]) ).
fof(f6558,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(X0,sK17) = sdtasdt0(sK17,X0) )
| ~ spl32_12 ),
inference(resolution,[],[f293,f227]) ).
fof(f6894,plain,
( spl32_241
| ~ spl32_3
| ~ spl32_16
| ~ spl32_120
| ~ spl32_222 ),
inference(avatar_split_clause,[],[f6889,f6203,f1497,f315,f245,f6891]) ).
fof(f6828,plain,
( spl32_240
| ~ spl32_22 ),
inference(avatar_split_clause,[],[f6116,f358,f6825]) ).
fof(f6116,plain,
( smndt0(sK20(sK16)) = sdtpldt0(sz00,smndt0(sK20(sK16)))
| ~ spl32_22 ),
inference(resolution,[],[f533,f360]) ).
fof(f6823,plain,
( spl32_239
| ~ spl32_20 ),
inference(avatar_split_clause,[],[f6112,f348,f6820]) ).
fof(f6820,plain,
( spl32_239
<=> smndt0(sK19(sK16)) = sdtpldt0(sz00,smndt0(sK19(sK16))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_239])]) ).
fof(f6112,plain,
( smndt0(sK19(sK16)) = sdtpldt0(sz00,smndt0(sK19(sK16)))
| ~ spl32_20 ),
inference(resolution,[],[f533,f350]) ).
fof(f6818,plain,
( spl32_238
| ~ spl32_18
| ~ spl32_22 ),
inference(avatar_split_clause,[],[f6079,f358,f338,f6815]) ).
fof(f6815,plain,
( spl32_238
<=> sdtpldt0(sK20(sK16),sK16) = sdtpldt0(sK16,sK20(sK16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_238])]) ).
fof(f6079,plain,
( sdtpldt0(sK20(sK16),sK16) = sdtpldt0(sK16,sK20(sK16))
| ~ spl32_18
| ~ spl32_22 ),
inference(resolution,[],[f2139,f360]) ).
fof(f2139,plain,
( ! [X25] :
( ~ aElement0(X25)
| sdtpldt0(X25,sK16) = sdtpldt0(sK16,X25) )
| ~ spl32_18 ),
inference(resolution,[],[f228,f340]) ).
fof(f6813,plain,
( spl32_237
| ~ spl32_18
| ~ spl32_20 ),
inference(avatar_split_clause,[],[f6075,f348,f338,f6810]) ).
fof(f6810,plain,
( spl32_237
<=> sdtpldt0(sK19(sK16),sK16) = sdtpldt0(sK16,sK19(sK16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_237])]) ).
fof(f6075,plain,
( sdtpldt0(sK19(sK16),sK16) = sdtpldt0(sK16,sK19(sK16))
| ~ spl32_18
| ~ spl32_20 ),
inference(resolution,[],[f2139,f350]) ).
fof(f6808,plain,
( spl32_236
| ~ spl32_18
| ~ spl32_22 ),
inference(avatar_split_clause,[],[f6046,f358,f338,f6805]) ).
fof(f6805,plain,
( spl32_236
<=> sdtasdt0(sK20(sK16),sK16) = sdtasdt0(sK16,sK20(sK16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_236])]) ).
fof(f6046,plain,
( sdtasdt0(sK20(sK16),sK16) = sdtasdt0(sK16,sK20(sK16))
| ~ spl32_18
| ~ spl32_22 ),
inference(resolution,[],[f1981,f360]) ).
fof(f1981,plain,
( ! [X24] :
( ~ aElement0(X24)
| sdtasdt0(X24,sK16) = sdtasdt0(sK16,X24) )
| ~ spl32_18 ),
inference(resolution,[],[f227,f340]) ).
fof(f6803,plain,
( spl32_235
| ~ spl32_18
| ~ spl32_20 ),
inference(avatar_split_clause,[],[f6042,f348,f338,f6800]) ).
fof(f6800,plain,
( spl32_235
<=> sdtasdt0(sK19(sK16),sK16) = sdtasdt0(sK16,sK19(sK16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_235])]) ).
fof(f6042,plain,
( sdtasdt0(sK19(sK16),sK16) = sdtasdt0(sK16,sK19(sK16))
| ~ spl32_18
| ~ spl32_20 ),
inference(resolution,[],[f1981,f350]) ).
fof(f6798,plain,
( spl32_234
| ~ spl32_22 ),
inference(avatar_split_clause,[],[f5984,f358,f6795]) ).
fof(f6795,plain,
( spl32_234
<=> smndt0(sK20(sK16)) = sdtpldt0(smndt0(sK20(sK16)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_234])]) ).
fof(f5984,plain,
( smndt0(sK20(sK16)) = sdtpldt0(smndt0(sK20(sK16)),sz00)
| ~ spl32_22 ),
inference(resolution,[],[f505,f360]) ).
fof(f6793,plain,
( spl32_233
| ~ spl32_20 ),
inference(avatar_split_clause,[],[f5980,f348,f6790]) ).
fof(f5980,plain,
( smndt0(sK19(sK16)) = sdtpldt0(smndt0(sK19(sK16)),sz00)
| ~ spl32_20 ),
inference(resolution,[],[f505,f350]) ).
fof(f6788,plain,
( spl32_232
| ~ spl32_22 ),
inference(avatar_split_clause,[],[f5937,f358,f6785]) ).
fof(f6785,plain,
( spl32_232
<=> smndt0(sK20(sK16)) = sdtasdt0(sz10,smndt0(sK20(sK16))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_232])]) ).
fof(f5937,plain,
( smndt0(sK20(sK16)) = sdtasdt0(sz10,smndt0(sK20(sK16)))
| ~ spl32_22 ),
inference(resolution,[],[f455,f360]) ).
fof(f6783,plain,
( spl32_231
| ~ spl32_20 ),
inference(avatar_split_clause,[],[f5933,f348,f6780]) ).
fof(f6780,plain,
( spl32_231
<=> smndt0(sK19(sK16)) = sdtasdt0(sz10,smndt0(sK19(sK16))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_231])]) ).
fof(f5933,plain,
( smndt0(sK19(sK16)) = sdtasdt0(sz10,smndt0(sK19(sK16)))
| ~ spl32_20 ),
inference(resolution,[],[f455,f350]) ).
fof(f6778,plain,
( spl32_230
| ~ spl32_22 ),
inference(avatar_split_clause,[],[f5850,f358,f6775]) ).
fof(f6775,plain,
( spl32_230
<=> smndt0(sK20(sK16)) = sdtasdt0(smndt0(sK20(sK16)),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_230])]) ).
fof(f5850,plain,
( smndt0(sK20(sK16)) = sdtasdt0(smndt0(sK20(sK16)),sz10)
| ~ spl32_22 ),
inference(resolution,[],[f421,f360]) ).
fof(f6734,plain,
( spl32_229
| ~ spl32_20 ),
inference(avatar_split_clause,[],[f5846,f348,f6731]) ).
fof(f6731,plain,
( spl32_229
<=> smndt0(sK19(sK16)) = sdtasdt0(smndt0(sK19(sK16)),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_229])]) ).
fof(f5846,plain,
( smndt0(sK19(sK16)) = sdtasdt0(smndt0(sK19(sK16)),sz10)
| ~ spl32_20 ),
inference(resolution,[],[f421,f350]) ).
fof(f6671,plain,
( spl32_228
| ~ spl32_181 ),
inference(avatar_split_clause,[],[f6424,f3302,f6668]) ).
fof(f6668,plain,
( spl32_228
<=> sz00 = sdtasdt0(smndt0(smndt0(sK18)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_228])]) ).
fof(f3302,plain,
( spl32_181
<=> aElement0(smndt0(sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_181])]) ).
fof(f6424,plain,
( sz00 = sdtasdt0(smndt0(smndt0(sK18)),sz00)
| ~ spl32_181 ),
inference(resolution,[],[f3304,f369]) ).
fof(f3304,plain,
( aElement0(smndt0(sK18))
| ~ spl32_181 ),
inference(avatar_component_clause,[],[f3302]) ).
fof(f6591,plain,
( spl32_227
| ~ spl32_18
| ~ spl32_19 ),
inference(avatar_split_clause,[],[f6337,f343,f338,f6588]) ).
fof(f6588,plain,
( spl32_227
<=> sdtasdt0(sK18,sK16) = sdtasdt0(sK16,sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_227])]) ).
fof(f6337,plain,
( sdtasdt0(sK18,sK16) = sdtasdt0(sK16,sK18)
| ~ spl32_18
| ~ spl32_19 ),
inference(resolution,[],[f345,f1981]) ).
fof(f345,plain,
( aElement0(sK18)
| ~ spl32_19 ),
inference(avatar_component_clause,[],[f343]) ).
fof(f6584,plain,
( spl32_207
| ~ spl32_19 ),
inference(avatar_split_clause,[],[f6335,f343,f5568]) ).
fof(f5568,plain,
( spl32_207
<=> smndt0(sK18) = sdtpldt0(sz00,smndt0(sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_207])]) ).
fof(f6335,plain,
( smndt0(sK18) = sdtpldt0(sz00,smndt0(sK18))
| ~ spl32_19 ),
inference(resolution,[],[f345,f533]) ).
fof(f6542,plain,
( spl32_226
| spl32_204
| ~ spl32_10
| ~ spl32_11 ),
inference(avatar_split_clause,[],[f6535,f287,f280,f5229,f6539]) ).
fof(f6539,plain,
( spl32_226
<=> sP0(sK18,sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_226])]) ).
fof(f6535,plain,
( ! [X0] :
( ~ aElement0(X0)
| sP0(sK18,sK16) )
| ~ spl32_10
| ~ spl32_11 ),
inference(resolution,[],[f6499,f2866]) ).
fof(f6499,plain,
( ! [X0] :
( sP3(sK18,X0,sK16)
| ~ aElement0(X0) )
| ~ spl32_10
| ~ spl32_11 ),
inference(resolution,[],[f6342,f282]) ).
fof(f6342,plain,
( ! [X8,X9] :
( ~ aElementOf0(X9,sdtpldt1(xI,xJ))
| sP3(sK18,X8,X9)
| ~ aElement0(X8) )
| ~ spl32_11 ),
inference(resolution,[],[f289,f155]) ).
fof(f6354,plain,
( spl32_23
| ~ spl32_3
| ~ spl32_16 ),
inference(avatar_split_clause,[],[f336,f315,f245,f363]) ).
fof(f6353,plain,
( spl32_16
| ~ spl32_11 ),
inference(avatar_split_clause,[],[f308,f287,f315]) ).
fof(f6352,plain,
( spl32_21
| ~ spl32_1
| ~ spl32_14 ),
inference(avatar_split_clause,[],[f334,f303,f235,f353]) ).
fof(f6349,plain,
( spl32_14
| ~ spl32_11 ),
inference(avatar_split_clause,[],[f296,f287,f303]) ).
fof(f6313,plain,
( spl32_19
| ~ spl32_8
| ~ spl32_11 ),
inference(avatar_split_clause,[],[f332,f287,f270,f343]) ).
fof(f6282,plain,
( spl32_225
| ~ spl32_12
| ~ spl32_20 ),
inference(avatar_split_clause,[],[f5307,f348,f291,f6279]) ).
fof(f6279,plain,
( spl32_225
<=> sdtasdt0(sK19(sK16),sK17) = sdtasdt0(sK17,sK19(sK16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_225])]) ).
fof(f5307,plain,
( sdtasdt0(sK19(sK16),sK17) = sdtasdt0(sK17,sK19(sK16))
| ~ spl32_12
| ~ spl32_20 ),
inference(resolution,[],[f5259,f350]) ).
fof(f5259,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(X0,sK17) = sdtasdt0(sK17,X0) )
| ~ spl32_12 ),
inference(resolution,[],[f293,f227]) ).
fof(f6233,plain,
( spl32_224
| spl32_204
| ~ spl32_10
| ~ spl32_53
| ~ spl32_110
| ~ spl32_113 ),
inference(avatar_split_clause,[],[f6227,f1459,f1374,f643,f280,f5229,f6231]) ).
fof(f6231,plain,
( spl32_224
<=> ! [X1] :
( sz00 != X1
| sP0(sK16,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_224])]) ).
fof(f6227,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| sz00 != X1
| sP0(sK16,X1) )
| ~ spl32_10
| ~ spl32_53
| ~ spl32_110
| ~ spl32_113 ),
inference(resolution,[],[f5188,f2866]) ).
fof(f5188,plain,
( ! [X3,X4] :
( sP3(sK16,X3,X4)
| ~ aElement0(X3)
| sz00 != X4 )
| ~ spl32_10
| ~ spl32_53
| ~ spl32_110
| ~ spl32_113 ),
inference(resolution,[],[f2263,f2312]) ).
fof(f6223,plain,
( spl32_223
| spl32_204
| ~ spl32_10
| ~ spl32_13
| ~ spl32_15
| ~ spl32_101 ),
inference(avatar_split_clause,[],[f6217,f1252,f310,f298,f280,f5229,f6221]) ).
fof(f6221,plain,
( spl32_223
<=> ! [X1] :
( sK16 != X1
| sP0(sK16,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_223])]) ).
fof(f6217,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| sK16 != X1
| sP0(sK16,X1) )
| ~ spl32_10
| ~ spl32_13
| ~ spl32_15
| ~ spl32_101 ),
inference(resolution,[],[f5187,f2866]) ).
fof(f5187,plain,
( ! [X2,X1] :
( sP3(sK16,X1,X2)
| ~ aElement0(X1)
| sK16 != X2 )
| ~ spl32_10
| ~ spl32_13
| ~ spl32_15
| ~ spl32_101 ),
inference(resolution,[],[f2263,f2328]) ).
fof(f6206,plain,
( spl32_222
| ~ spl32_23 ),
inference(avatar_split_clause,[],[f5169,f363,f6203]) ).
fof(f5169,plain,
( smndt0(sK20(sK18)) = sdtasdt0(smndt0(sz10),sK20(sK18))
| ~ spl32_23 ),
inference(resolution,[],[f365,f188]) ).
fof(f365,plain,
( aElement0(sK20(sK18))
| ~ spl32_23 ),
inference(avatar_component_clause,[],[f363]) ).
fof(f6179,plain,
( ~ spl32_6
| ~ spl32_204 ),
inference(avatar_contradiction_clause,[],[f6136]) ).
fof(f6136,plain,
( $false
| ~ spl32_6
| ~ spl32_204 ),
inference(resolution,[],[f5230,f262]) ).
fof(f5230,plain,
( ! [X0] : ~ aElement0(X0)
| ~ spl32_204 ),
inference(avatar_component_clause,[],[f5229]) ).
fof(f6178,plain,
( ~ spl32_5
| ~ spl32_204 ),
inference(avatar_contradiction_clause,[],[f6137]) ).
fof(f6137,plain,
( $false
| ~ spl32_5
| ~ spl32_204 ),
inference(resolution,[],[f5230,f257]) ).
fof(f6177,plain,
( ~ spl32_120
| ~ spl32_204 ),
inference(avatar_contradiction_clause,[],[f6139]) ).
fof(f6139,plain,
( $false
| ~ spl32_120
| ~ spl32_204 ),
inference(resolution,[],[f5230,f1498]) ).
fof(f6176,plain,
( ~ spl32_173
| ~ spl32_204 ),
inference(avatar_contradiction_clause,[],[f6140]) ).
fof(f6140,plain,
( $false
| ~ spl32_173
| ~ spl32_204 ),
inference(resolution,[],[f5230,f3133]) ).
fof(f6175,plain,
( ~ spl32_139
| ~ spl32_204 ),
inference(avatar_contradiction_clause,[],[f6141]) ).
fof(f6141,plain,
( $false
| ~ spl32_139
| ~ spl32_204 ),
inference(resolution,[],[f5230,f1866]) ).
fof(f6174,plain,
( ~ spl32_122
| ~ spl32_204 ),
inference(avatar_contradiction_clause,[],[f6142]) ).
fof(f6142,plain,
( $false
| ~ spl32_122
| ~ spl32_204 ),
inference(resolution,[],[f5230,f1524]) ).
fof(f1524,plain,
( aElement0(smndt0(sK19(sK16)))
| ~ spl32_122 ),
inference(avatar_component_clause,[],[f1522]) ).
fof(f1522,plain,
( spl32_122
<=> aElement0(smndt0(sK19(sK16))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_122])]) ).
fof(f6173,plain,
( ~ spl32_171
| ~ spl32_204 ),
inference(avatar_contradiction_clause,[],[f6143]) ).
fof(f6143,plain,
( $false
| ~ spl32_171
| ~ spl32_204 ),
inference(resolution,[],[f5230,f3076]) ).
fof(f3076,plain,
( aElement0(smndt0(sK20(sK16)))
| ~ spl32_171 ),
inference(avatar_component_clause,[],[f3074]) ).
fof(f3074,plain,
( spl32_171
<=> aElement0(smndt0(sK20(sK16))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_171])]) ).
fof(f6172,plain,
( ~ spl32_18
| ~ spl32_204 ),
inference(avatar_contradiction_clause,[],[f6154]) ).
fof(f6154,plain,
( $false
| ~ spl32_18
| ~ spl32_204 ),
inference(resolution,[],[f5230,f340]) ).
fof(f6171,plain,
( ~ spl32_12
| ~ spl32_204 ),
inference(avatar_contradiction_clause,[],[f6155]) ).
fof(f6155,plain,
( $false
| ~ spl32_12
| ~ spl32_204 ),
inference(resolution,[],[f5230,f293]) ).
fof(f6170,plain,
( ~ spl32_20
| ~ spl32_204 ),
inference(avatar_contradiction_clause,[],[f6158]) ).
fof(f6158,plain,
( $false
| ~ spl32_20
| ~ spl32_204 ),
inference(resolution,[],[f5230,f350]) ).
fof(f6169,plain,
( ~ spl32_75
| ~ spl32_204 ),
inference(avatar_contradiction_clause,[],[f6159]) ).
fof(f6159,plain,
( $false
| ~ spl32_75
| ~ spl32_204 ),
inference(resolution,[],[f5230,f835]) ).
fof(f6168,plain,
( ~ spl32_22
| ~ spl32_204 ),
inference(avatar_contradiction_clause,[],[f6162]) ).
fof(f6162,plain,
( $false
| ~ spl32_22
| ~ spl32_204 ),
inference(resolution,[],[f5230,f360]) ).
fof(f6167,plain,
( ~ spl32_23
| ~ spl32_204 ),
inference(avatar_contradiction_clause,[],[f6163]) ).
fof(f6163,plain,
( $false
| ~ spl32_23
| ~ spl32_204 ),
inference(resolution,[],[f5230,f365]) ).
fof(f6166,plain,
( ~ spl32_74
| ~ spl32_204 ),
inference(avatar_contradiction_clause,[],[f6164]) ).
fof(f6164,plain,
( $false
| ~ spl32_74
| ~ spl32_204 ),
inference(resolution,[],[f5230,f820]) ).
fof(f6135,plain,
( spl32_221
| spl32_204
| ~ spl32_8
| spl32_9
| ~ spl32_10 ),
inference(avatar_split_clause,[],[f6128,f280,f275,f270,f5229,f6132]) ).
fof(f6132,plain,
( spl32_221
<=> sP0(sK16,sK23(sdtpldt1(xI,xJ))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_221])]) ).
fof(f6128,plain,
( ! [X0] :
( ~ aElement0(X0)
| sP0(sK16,sK23(sdtpldt1(xI,xJ))) )
| ~ spl32_8
| spl32_9
| ~ spl32_10 ),
inference(resolution,[],[f5215,f2866]) ).
fof(f5215,plain,
( ! [X16] :
( sP3(sK16,X16,sK23(sdtpldt1(xI,xJ)))
| ~ aElement0(X16) )
| ~ spl32_8
| spl32_9
| ~ spl32_10 ),
inference(subsumption_resolution,[],[f5214,f272]) ).
fof(f5214,plain,
( ! [X16] :
( sP3(sK16,X16,sK23(sdtpldt1(xI,xJ)))
| ~ aElement0(X16)
| ~ aSet0(sdtpldt1(xI,xJ)) )
| spl32_9
| ~ spl32_10 ),
inference(subsumption_resolution,[],[f5199,f277]) ).
fof(f5199,plain,
( ! [X16] :
( sP3(sK16,X16,sK23(sdtpldt1(xI,xJ)))
| ~ aElement0(X16)
| aIdeal0(sdtpldt1(xI,xJ))
| ~ aSet0(sdtpldt1(xI,xJ)) )
| ~ spl32_10 ),
inference(resolution,[],[f2263,f198]) ).
fof(f6089,plain,
( spl32_220
| ~ spl32_5
| ~ spl32_18 ),
inference(avatar_split_clause,[],[f6054,f338,f255,f6086]) ).
fof(f6054,plain,
( sdtpldt0(sz10,sK16) = sdtpldt0(sK16,sz10)
| ~ spl32_5
| ~ spl32_18 ),
inference(resolution,[],[f2139,f257]) ).
fof(f5955,plain,
( spl32_219
| ~ spl32_171 ),
inference(avatar_split_clause,[],[f4952,f3074,f5952]) ).
fof(f5952,plain,
( spl32_219
<=> sz00 = sdtasdt0(sz00,smndt0(smndt0(sK20(sK16)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_219])]) ).
fof(f4952,plain,
( sz00 = sdtasdt0(sz00,smndt0(smndt0(sK20(sK16))))
| ~ spl32_171 ),
inference(resolution,[],[f392,f3076]) ).
fof(f5950,plain,
( spl32_218
| ~ spl32_122 ),
inference(avatar_split_clause,[],[f4951,f1522,f5947]) ).
fof(f5947,plain,
( spl32_218
<=> sz00 = sdtasdt0(sz00,smndt0(smndt0(sK19(sK16)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_218])]) ).
fof(f4951,plain,
( sz00 = sdtasdt0(sz00,smndt0(smndt0(sK19(sK16))))
| ~ spl32_122 ),
inference(resolution,[],[f392,f1524]) ).
fof(f5904,plain,
( spl32_217
| ~ spl32_171 ),
inference(avatar_split_clause,[],[f3100,f3074,f5901]) ).
fof(f5901,plain,
( spl32_217
<=> sz00 = sdtasdt0(smndt0(smndt0(sK20(sK16))),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_217])]) ).
fof(f3100,plain,
( sz00 = sdtasdt0(smndt0(smndt0(sK20(sK16))),sz00)
| ~ spl32_171 ),
inference(resolution,[],[f3076,f369]) ).
fof(f5898,plain,
( spl32_216
| ~ spl32_122 ),
inference(avatar_split_clause,[],[f1536,f1522,f5895]) ).
fof(f5895,plain,
( spl32_216
<=> sz00 = sdtasdt0(smndt0(smndt0(sK19(sK16))),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_216])]) ).
fof(f1536,plain,
( sz00 = sdtasdt0(smndt0(smndt0(sK19(sK16))),sz00)
| ~ spl32_122 ),
inference(resolution,[],[f1524,f369]) ).
fof(f5822,plain,
( spl32_215
| ~ spl32_173 ),
inference(avatar_split_clause,[],[f3188,f3131,f5819]) ).
fof(f5819,plain,
( spl32_215
<=> sz00 = sdtpldt0(smndt0(smndt0(sK16)),smndt0(sK16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_215])]) ).
fof(f3188,plain,
( sz00 = sdtpldt0(smndt0(smndt0(sK16)),smndt0(sK16))
| ~ spl32_173 ),
inference(resolution,[],[f3133,f187]) ).
fof(f5817,plain,
( spl32_214
| ~ spl32_173 ),
inference(avatar_split_clause,[],[f3187,f3131,f5814]) ).
fof(f5814,plain,
( spl32_214
<=> sz00 = sdtpldt0(smndt0(sK16),smndt0(smndt0(sK16))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_214])]) ).
fof(f3187,plain,
( sz00 = sdtpldt0(smndt0(sK16),smndt0(smndt0(sK16)))
| ~ spl32_173 ),
inference(resolution,[],[f3133,f186]) ).
fof(f5811,plain,
( spl32_213
| ~ spl32_120 ),
inference(avatar_split_clause,[],[f1515,f1497,f5808]) ).
fof(f5808,plain,
( spl32_213
<=> sz00 = sdtpldt0(smndt0(smndt0(sz10)),smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_213])]) ).
fof(f5806,plain,
( spl32_212
| ~ spl32_120 ),
inference(avatar_split_clause,[],[f1514,f1497,f5803]) ).
fof(f5803,plain,
( spl32_212
<=> sz00 = sdtpldt0(smndt0(sz10),smndt0(smndt0(sz10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_212])]) ).
fof(f5697,plain,
( spl32_211
| ~ spl32_173 ),
inference(avatar_split_clause,[],[f4948,f3131,f5694]) ).
fof(f5694,plain,
( spl32_211
<=> sz00 = sdtasdt0(sz00,smndt0(smndt0(sK16))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_211])]) ).
fof(f4948,plain,
( sz00 = sdtasdt0(sz00,smndt0(smndt0(sK16)))
| ~ spl32_173 ),
inference(resolution,[],[f392,f3133]) ).
fof(f5692,plain,
( spl32_210
| ~ spl32_120 ),
inference(avatar_split_clause,[],[f4947,f1497,f5689]) ).
fof(f5689,plain,
( spl32_210
<=> sz00 = sdtasdt0(sz00,smndt0(smndt0(sz10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_210])]) ).
fof(f5684,plain,
( ~ spl32_209
| ~ spl32_97
| ~ spl32_120
| spl32_208 ),
inference(avatar_split_clause,[],[f5679,f5675,f1497,f1214,f5681]) ).
fof(f5681,plain,
( spl32_209
<=> sP4(xJ,sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_209])]) ).
fof(f5675,plain,
( spl32_208
<=> aElementOf0(smndt0(sK18),xJ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_208])]) ).
fof(f5679,plain,
( ~ sP4(xJ,sK18)
| ~ spl32_97
| ~ spl32_120
| spl32_208 ),
inference(resolution,[],[f5677,f2053]) ).
fof(f2053,plain,
( ! [X0] :
( aElementOf0(smndt0(sK18),X0)
| ~ sP4(X0,sK18) )
| ~ spl32_97
| ~ spl32_120 ),
inference(subsumption_resolution,[],[f2049,f1498]) ).
fof(f2049,plain,
( ! [X0] :
( aElementOf0(smndt0(sK18),X0)
| ~ aElement0(smndt0(sz10))
| ~ sP4(X0,sK18) )
| ~ spl32_97 ),
inference(superposition,[],[f191,f1216]) ).
fof(f5677,plain,
( ~ aElementOf0(smndt0(sK18),xJ)
| spl32_208 ),
inference(avatar_component_clause,[],[f5675]) ).
fof(f5678,plain,
( ~ spl32_208
| ~ spl32_3
| ~ spl32_5
| spl32_181
| ~ spl32_190 ),
inference(avatar_split_clause,[],[f5673,f4410,f3302,f255,f245,f5675]) ).
fof(f4410,plain,
( spl32_190
<=> smndt0(sK18) = sdtasdt0(sz10,smndt0(sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_190])]) ).
fof(f5673,plain,
( ~ aElementOf0(smndt0(sK18),xJ)
| ~ spl32_3
| ~ spl32_5
| spl32_181
| ~ spl32_190 ),
inference(subsumption_resolution,[],[f5672,f257]) ).
fof(f5672,plain,
( ~ aElementOf0(smndt0(sK18),xJ)
| ~ aElement0(sz10)
| ~ spl32_3
| spl32_181
| ~ spl32_190 ),
inference(subsumption_resolution,[],[f5644,f3303]) ).
fof(f3303,plain,
( ~ aElement0(smndt0(sK18))
| spl32_181 ),
inference(avatar_component_clause,[],[f3302]) ).
fof(f5644,plain,
( aElement0(smndt0(sK18))
| ~ aElementOf0(smndt0(sK18),xJ)
| ~ aElement0(sz10)
| ~ spl32_3
| ~ spl32_190 ),
inference(superposition,[],[f1440,f4412]) ).
fof(f4412,plain,
( smndt0(sK18) = sdtasdt0(sz10,smndt0(sK18))
| ~ spl32_190 ),
inference(avatar_component_clause,[],[f4410]) ).
fof(f5571,plain,
( spl32_207
| ~ spl32_181 ),
inference(avatar_split_clause,[],[f4896,f3302,f5568]) ).
fof(f4896,plain,
( smndt0(sK18) = sdtpldt0(sz00,smndt0(sK18))
| ~ spl32_181 ),
inference(resolution,[],[f3304,f185]) ).
fof(f5415,plain,
( spl32_206
| ~ spl32_12
| ~ spl32_19 ),
inference(avatar_split_clause,[],[f5395,f343,f291,f5412]) ).
fof(f5412,plain,
( spl32_206
<=> sdtpldt0(sK18,sK17) = sdtpldt0(sK17,sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_206])]) ).
fof(f5395,plain,
( sdtpldt0(sK18,sK17) = sdtpldt0(sK17,sK18)
| ~ spl32_12
| ~ spl32_19 ),
inference(resolution,[],[f5260,f345]) ).
fof(f5260,plain,
( ! [X1] :
( ~ aElement0(X1)
| sdtpldt0(X1,sK17) = sdtpldt0(sK17,X1) )
| ~ spl32_12 ),
inference(resolution,[],[f293,f228]) ).
fof(f5241,plain,
( spl32_205
| spl32_204
| ~ spl32_10
| ~ spl32_11 ),
inference(avatar_split_clause,[],[f5234,f287,f280,f5229,f5238]) ).
fof(f5238,plain,
( spl32_205
<=> sP0(sK16,sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_205])]) ).
fof(f5234,plain,
( ! [X0] :
( ~ aElement0(X0)
| sP0(sK16,sK18) )
| ~ spl32_10
| ~ spl32_11 ),
inference(resolution,[],[f5189,f2866]) ).
fof(f5189,plain,
( ! [X5] :
( sP3(sK16,X5,sK18)
| ~ aElement0(X5) )
| ~ spl32_10
| ~ spl32_11 ),
inference(resolution,[],[f2263,f289]) ).
fof(f5231,plain,
( spl32_203
| spl32_204
| ~ spl32_10 ),
inference(avatar_split_clause,[],[f5221,f280,f5229,f5225]) ).
fof(f5225,plain,
( spl32_203
<=> sP0(sK16,sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_203])]) ).
fof(f5221,plain,
( ! [X0] :
( ~ aElement0(X0)
| sP0(sK16,sK16) )
| ~ spl32_10 ),
inference(resolution,[],[f5186,f2866]) ).
fof(f5142,plain,
( spl32_23
| ~ spl32_3
| ~ spl32_16 ),
inference(avatar_split_clause,[],[f336,f315,f245,f363]) ).
fof(f5141,plain,
( spl32_21
| ~ spl32_1
| ~ spl32_14 ),
inference(avatar_split_clause,[],[f334,f303,f235,f353]) ).
fof(f5138,plain,
( spl32_16
| ~ spl32_11 ),
inference(avatar_split_clause,[],[f308,f287,f315]) ).
fof(f5135,plain,
( spl32_14
| ~ spl32_11 ),
inference(avatar_split_clause,[],[f296,f287,f303]) ).
fof(f5108,plain,
( spl32_19
| ~ spl32_8
| ~ spl32_11 ),
inference(avatar_split_clause,[],[f332,f287,f270,f343]) ).
fof(f5084,plain,
( spl32_202
| ~ spl32_139 ),
inference(avatar_split_clause,[],[f4949,f1864,f5081]) ).
fof(f5081,plain,
( spl32_202
<=> sz00 = sdtasdt0(sz00,smndt0(smndt0(sK17))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_202])]) ).
fof(f4949,plain,
( sz00 = sdtasdt0(sz00,smndt0(smndt0(sK17)))
| ~ spl32_139 ),
inference(resolution,[],[f392,f1866]) ).
fof(f5075,plain,
( spl32_201
| ~ spl32_12
| ~ spl32_19 ),
inference(avatar_split_clause,[],[f5058,f343,f291,f5072]) ).
fof(f5072,plain,
( spl32_201
<=> sdtasdt0(sK18,sK17) = sdtasdt0(sK17,sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_201])]) ).
fof(f5058,plain,
( sdtasdt0(sK18,sK17) = sdtasdt0(sK17,sK18)
| ~ spl32_12
| ~ spl32_19 ),
inference(resolution,[],[f5006,f345]) ).
fof(f5006,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(X0,sK17) = sdtasdt0(sK17,X0) )
| ~ spl32_12 ),
inference(resolution,[],[f293,f227]) ).
fof(f5033,plain,
( spl32_200
| ~ spl32_23 ),
inference(avatar_split_clause,[],[f4971,f363,f5030]) ).
fof(f5030,plain,
( spl32_200
<=> sz00 = sdtasdt0(sz00,smndt0(sK20(sK18))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_200])]) ).
fof(f4971,plain,
( sz00 = sdtasdt0(sz00,smndt0(sK20(sK18)))
| ~ spl32_23 ),
inference(resolution,[],[f392,f365]) ).
fof(f4981,plain,
( spl32_199
| ~ spl32_21 ),
inference(avatar_split_clause,[],[f4965,f353,f4978]) ).
fof(f4978,plain,
( spl32_199
<=> sz00 = sdtasdt0(sz00,smndt0(sK19(sK18))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_199])]) ).
fof(f4965,plain,
( sz00 = sdtasdt0(sz00,smndt0(sK19(sK18)))
| ~ spl32_21 ),
inference(resolution,[],[f392,f355]) ).
fof(f355,plain,
( aElement0(sK19(sK18))
| ~ spl32_21 ),
inference(avatar_component_clause,[],[f353]) ).
fof(f4873,plain,
( spl32_21
| ~ spl32_1
| ~ spl32_14 ),
inference(avatar_split_clause,[],[f334,f303,f235,f353]) ).
fof(f4870,plain,
( spl32_14
| ~ spl32_11 ),
inference(avatar_split_clause,[],[f296,f287,f303]) ).
fof(f4844,plain,
( spl32_19
| ~ spl32_8
| ~ spl32_11 ),
inference(avatar_split_clause,[],[f332,f287,f270,f343]) ).
fof(f4824,plain,
( spl32_198
| ~ spl32_12
| ~ spl32_18 ),
inference(avatar_split_clause,[],[f4788,f338,f291,f4821]) ).
fof(f4821,plain,
( spl32_198
<=> sdtpldt0(sK16,sK17) = sdtpldt0(sK17,sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_198])]) ).
fof(f4788,plain,
( sdtpldt0(sK16,sK17) = sdtpldt0(sK17,sK16)
| ~ spl32_12
| ~ spl32_18 ),
inference(resolution,[],[f4732,f340]) ).
fof(f4732,plain,
( ! [X1] :
( ~ aElement0(X1)
| sdtpldt0(X1,sK17) = sdtpldt0(sK17,X1) )
| ~ spl32_12 ),
inference(resolution,[],[f293,f228]) ).
fof(f4701,plain,
( spl32_197
| ~ spl32_181 ),
inference(avatar_split_clause,[],[f4616,f3302,f4698]) ).
fof(f4698,plain,
( spl32_197
<=> smndt0(sK18) = sdtpldt0(smndt0(sK18),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_197])]) ).
fof(f4616,plain,
( smndt0(sK18) = sdtpldt0(smndt0(sK18),sz00)
| ~ spl32_181 ),
inference(resolution,[],[f3304,f184]) ).
fof(f4681,plain,
( ~ spl32_196
| ~ spl32_18
| spl32_195 ),
inference(avatar_split_clause,[],[f4676,f4669,f338,f4678]) ).
fof(f4678,plain,
( spl32_196
<=> sP4(sdtpldt1(xI,xJ),sK17) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_196])]) ).
fof(f4676,plain,
( ~ sP4(sdtpldt1(xI,xJ),sK17)
| ~ spl32_18
| spl32_195 ),
inference(subsumption_resolution,[],[f4675,f340]) ).
fof(f4675,plain,
( ~ aElement0(sK16)
| ~ sP4(sdtpldt1(xI,xJ),sK17)
| spl32_195 ),
inference(resolution,[],[f4671,f191]) ).
fof(f4672,plain,
( ~ spl32_195
| spl32_104
| ~ spl32_189 ),
inference(avatar_split_clause,[],[f4493,f4263,f1271,f4669]) ).
fof(f4493,plain,
( ~ aElementOf0(sdtasdt0(sK16,sK17),sdtpldt1(xI,xJ))
| spl32_104
| ~ spl32_189 ),
inference(superposition,[],[f1273,f4265]) ).
fof(f4594,plain,
( spl32_21
| ~ spl32_1
| ~ spl32_14 ),
inference(avatar_split_clause,[],[f334,f303,f235,f353]) ).
fof(f4593,plain,
( spl32_14
| ~ spl32_11 ),
inference(avatar_split_clause,[],[f296,f287,f303]) ).
fof(f4567,plain,
( spl32_19
| ~ spl32_8
| ~ spl32_11 ),
inference(avatar_split_clause,[],[f332,f287,f270,f343]) ).
fof(f4547,plain,
( spl32_194
| ~ spl32_5
| ~ spl32_12 ),
inference(avatar_split_clause,[],[f4516,f291,f255,f4544]) ).
fof(f4516,plain,
( sdtpldt0(sz10,sK17) = sdtpldt0(sK17,sz10)
| ~ spl32_5
| ~ spl32_12 ),
inference(resolution,[],[f4443,f257]) ).
fof(f4443,plain,
( ! [X1] :
( ~ aElement0(X1)
| sdtpldt0(X1,sK17) = sdtpldt0(sK17,X1) )
| ~ spl32_12 ),
inference(resolution,[],[f293,f228]) ).
fof(f4514,plain,
( ~ spl32_193
| spl32_161
| ~ spl32_189 ),
inference(avatar_split_clause,[],[f4492,f4263,f2735,f4511]) ).
fof(f4511,plain,
( spl32_193
<=> sz00 = sdtasdt0(sK16,sK17) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_193])]) ).
fof(f2735,plain,
( spl32_161
<=> sz00 = sdtasdt0(sK17,sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_161])]) ).
fof(f4492,plain,
( sz00 != sdtasdt0(sK16,sK17)
| spl32_161
| ~ spl32_189 ),
inference(superposition,[],[f2737,f4265]) ).
fof(f2737,plain,
( sz00 != sdtasdt0(sK17,sK16)
| spl32_161 ),
inference(avatar_component_clause,[],[f2735]) ).
fof(f4509,plain,
( ~ spl32_192
| spl32_163
| ~ spl32_189 ),
inference(avatar_split_clause,[],[f4491,f4263,f2868,f4506]) ).
fof(f4506,plain,
( spl32_192
<=> sK16 = sdtasdt0(sK16,sK17) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_192])]) ).
fof(f2868,plain,
( spl32_163
<=> sK16 = sdtasdt0(sK17,sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_163])]) ).
fof(f4491,plain,
( sK16 != sdtasdt0(sK16,sK17)
| spl32_163
| ~ spl32_189 ),
inference(superposition,[],[f2870,f4265]) ).
fof(f2870,plain,
( sK16 != sdtasdt0(sK17,sK16)
| spl32_163 ),
inference(avatar_component_clause,[],[f2868]) ).
fof(f4504,plain,
( ~ spl32_191
| spl32_165
| ~ spl32_189 ),
inference(avatar_split_clause,[],[f4490,f4263,f2921,f4501]) ).
fof(f4501,plain,
( spl32_191
<=> sK18 = sdtasdt0(sK16,sK17) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_191])]) ).
fof(f2921,plain,
( spl32_165
<=> sdtasdt0(sK17,sK16) = sK18 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_165])]) ).
fof(f4490,plain,
( sK18 != sdtasdt0(sK16,sK17)
| spl32_165
| ~ spl32_189 ),
inference(superposition,[],[f2923,f4265]) ).
fof(f2923,plain,
( sdtasdt0(sK17,sK16) != sK18
| spl32_165 ),
inference(avatar_component_clause,[],[f2921]) ).
fof(f4413,plain,
( spl32_190
| ~ spl32_181 ),
inference(avatar_split_clause,[],[f4332,f3302,f4410]) ).
fof(f4332,plain,
( smndt0(sK18) = sdtasdt0(sz10,smndt0(sK18))
| ~ spl32_181 ),
inference(resolution,[],[f3304,f183]) ).
fof(f4311,plain,
( spl32_21
| ~ spl32_1
| ~ spl32_14 ),
inference(avatar_split_clause,[],[f334,f303,f235,f353]) ).
fof(f4310,plain,
( spl32_14
| ~ spl32_11 ),
inference(avatar_split_clause,[],[f296,f287,f303]) ).
fof(f4284,plain,
( spl32_19
| ~ spl32_8
| ~ spl32_11 ),
inference(avatar_split_clause,[],[f332,f287,f270,f343]) ).
fof(f4266,plain,
( spl32_189
| ~ spl32_12
| ~ spl32_18 ),
inference(avatar_split_clause,[],[f4242,f338,f291,f4263]) ).
fof(f4242,plain,
( sdtasdt0(sK17,sK16) = sdtasdt0(sK16,sK17)
| ~ spl32_12
| ~ spl32_18 ),
inference(resolution,[],[f4197,f340]) ).
fof(f4197,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(X0,sK17) = sdtasdt0(sK17,X0) )
| ~ spl32_12 ),
inference(resolution,[],[f293,f227]) ).
fof(f4164,plain,
( spl32_188
| ~ spl32_181 ),
inference(avatar_split_clause,[],[f3979,f3302,f4161]) ).
fof(f4161,plain,
( spl32_188
<=> smndt0(sK18) = sdtasdt0(smndt0(sK18),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_188])]) ).
fof(f3979,plain,
( smndt0(sK18) = sdtasdt0(smndt0(sK18),sz10)
| ~ spl32_181 ),
inference(resolution,[],[f3304,f182]) ).
fof(f4096,plain,
( spl32_187
| ~ spl32_6
| ~ spl32_105 ),
inference(avatar_split_clause,[],[f4089,f1276,f260,f4093]) ).
fof(f1276,plain,
( spl32_105
<=> sz00 = sdtasdt0(smndt0(sz10),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_105])]) ).
fof(f4089,plain,
( sz00 = smndt0(sz00)
| ~ spl32_6
| ~ spl32_105 ),
inference(forward_demodulation,[],[f1090,f1278]) ).
fof(f1278,plain,
( sz00 = sdtasdt0(smndt0(sz10),sz00)
| ~ spl32_105 ),
inference(avatar_component_clause,[],[f1276]) ).
fof(f1090,plain,
( smndt0(sz00) = sdtasdt0(smndt0(sz10),sz00)
| ~ spl32_6 ),
inference(resolution,[],[f188,f262]) ).
fof(f4010,plain,
( spl32_16
| ~ spl32_11 ),
inference(avatar_split_clause,[],[f308,f287,f315]) ).
fof(f3994,plain,
( spl32_14
| ~ spl32_11 ),
inference(avatar_split_clause,[],[f296,f287,f303]) ).
fof(f3941,plain,
( spl32_23
| ~ spl32_3
| ~ spl32_16 ),
inference(avatar_split_clause,[],[f336,f315,f245,f363]) ).
fof(f3940,plain,
( spl32_21
| ~ spl32_1
| ~ spl32_14 ),
inference(avatar_split_clause,[],[f334,f303,f235,f353]) ).
fof(f3826,plain,
( spl32_19
| ~ spl32_8
| ~ spl32_11 ),
inference(avatar_split_clause,[],[f332,f287,f270,f343]) ).
fof(f3804,plain,
( spl32_186
| ~ spl32_139 ),
inference(avatar_split_clause,[],[f3647,f1864,f3801]) ).
fof(f3801,plain,
( spl32_186
<=> sz00 = sdtpldt0(smndt0(smndt0(sK17)),smndt0(sK17)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_186])]) ).
fof(f3647,plain,
( sz00 = sdtpldt0(smndt0(smndt0(sK17)),smndt0(sK17))
| ~ spl32_139 ),
inference(resolution,[],[f1866,f187]) ).
fof(f3751,plain,
( spl32_185
| ~ spl32_23 ),
inference(avatar_split_clause,[],[f3430,f363,f3748]) ).
fof(f3748,plain,
( spl32_185
<=> sz00 = sdtpldt0(smndt0(sK20(sK18)),sK20(sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_185])]) ).
fof(f3430,plain,
( sz00 = sdtpldt0(smndt0(sK20(sK18)),sK20(sK18))
| ~ spl32_23 ),
inference(resolution,[],[f365,f187]) ).
fof(f3604,plain,
( ~ spl32_19
| spl32_181 ),
inference(avatar_contradiction_clause,[],[f3603]) ).
fof(f3603,plain,
( $false
| ~ spl32_19
| spl32_181 ),
inference(subsumption_resolution,[],[f3313,f345]) ).
fof(f3313,plain,
( ~ aElement0(sK18)
| spl32_181 ),
inference(resolution,[],[f3303,f179]) ).
fof(f3602,plain,
( spl32_184
| ~ spl32_181 ),
inference(avatar_split_clause,[],[f3438,f3302,f3599]) ).
fof(f3599,plain,
( spl32_184
<=> sz00 = sdtasdt0(sz00,smndt0(sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_184])]) ).
fof(f3438,plain,
( sz00 = sdtasdt0(sz00,smndt0(sK18))
| ~ spl32_181 ),
inference(resolution,[],[f3304,f181]) ).
fof(f3460,plain,
( spl32_16
| ~ spl32_11 ),
inference(avatar_split_clause,[],[f308,f287,f315]) ).
fof(f3450,plain,
( spl32_14
| ~ spl32_11 ),
inference(avatar_split_clause,[],[f296,f287,f303]) ).
fof(f3409,plain,
( spl32_23
| ~ spl32_3
| ~ spl32_16 ),
inference(avatar_split_clause,[],[f336,f315,f245,f363]) ).
fof(f3408,plain,
( spl32_21
| ~ spl32_1
| ~ spl32_14 ),
inference(avatar_split_clause,[],[f334,f303,f235,f353]) ).
fof(f3364,plain,
( spl32_19
| ~ spl32_8
| ~ spl32_11 ),
inference(avatar_split_clause,[],[f332,f287,f270,f343]) ).
fof(f3347,plain,
( spl32_183
| ~ spl32_139 ),
inference(avatar_split_clause,[],[f2997,f1864,f3344]) ).
fof(f3344,plain,
( spl32_183
<=> sz00 = sdtpldt0(smndt0(sK17),smndt0(smndt0(sK17))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_183])]) ).
fof(f2997,plain,
( sz00 = sdtpldt0(smndt0(sK17),smndt0(smndt0(sK17)))
| ~ spl32_139 ),
inference(resolution,[],[f1866,f186]) ).
fof(f3308,plain,
( spl32_181
| spl32_182
| ~ spl32_97
| ~ spl32_120 ),
inference(avatar_split_clause,[],[f2174,f1497,f1214,f3306,f3302]) ).
fof(f3306,plain,
( spl32_182
<=> ! [X0] :
( ~ sP4(X0,sK18)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_182])]) ).
fof(f2174,plain,
( ! [X0] :
( ~ sP4(X0,sK18)
| aElement0(smndt0(sK18))
| ~ aSet0(X0) )
| ~ spl32_97
| ~ spl32_120 ),
inference(resolution,[],[f2053,f178]) ).
fof(f3254,plain,
( spl32_180
| ~ spl32_173 ),
inference(avatar_split_clause,[],[f3193,f3131,f3251]) ).
fof(f3251,plain,
( spl32_180
<=> sz00 = sdtasdt0(smndt0(smndt0(sK16)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_180])]) ).
fof(f3193,plain,
( sz00 = sdtasdt0(smndt0(smndt0(sK16)),sz00)
| ~ spl32_173 ),
inference(resolution,[],[f3133,f369]) ).
fof(f3249,plain,
( spl32_179
| ~ spl32_173 ),
inference(avatar_split_clause,[],[f3186,f3131,f3246]) ).
fof(f3246,plain,
( spl32_179
<=> smndt0(sK16) = sdtpldt0(sz00,smndt0(sK16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_179])]) ).
fof(f3186,plain,
( smndt0(sK16) = sdtpldt0(sz00,smndt0(sK16))
| ~ spl32_173 ),
inference(resolution,[],[f3133,f185]) ).
fof(f3244,plain,
( spl32_178
| ~ spl32_173 ),
inference(avatar_split_clause,[],[f3185,f3131,f3241]) ).
fof(f3241,plain,
( spl32_178
<=> smndt0(sK16) = sdtpldt0(smndt0(sK16),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_178])]) ).
fof(f3185,plain,
( smndt0(sK16) = sdtpldt0(smndt0(sK16),sz00)
| ~ spl32_173 ),
inference(resolution,[],[f3133,f184]) ).
fof(f3217,plain,
( spl32_177
| ~ spl32_173 ),
inference(avatar_split_clause,[],[f3184,f3131,f3214]) ).
fof(f3214,plain,
( spl32_177
<=> smndt0(sK16) = sdtasdt0(sz10,smndt0(sK16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_177])]) ).
fof(f3184,plain,
( smndt0(sK16) = sdtasdt0(sz10,smndt0(sK16))
| ~ spl32_173 ),
inference(resolution,[],[f3133,f183]) ).
fof(f3212,plain,
( spl32_176
| ~ spl32_173 ),
inference(avatar_split_clause,[],[f3183,f3131,f3209]) ).
fof(f3209,plain,
( spl32_176
<=> smndt0(sK16) = sdtasdt0(smndt0(sK16),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_176])]) ).
fof(f3183,plain,
( smndt0(sK16) = sdtasdt0(smndt0(sK16),sz10)
| ~ spl32_173 ),
inference(resolution,[],[f3133,f182]) ).
fof(f3180,plain,
( ~ spl32_18
| spl32_173 ),
inference(avatar_contradiction_clause,[],[f3179]) ).
fof(f3179,plain,
( $false
| ~ spl32_18
| spl32_173 ),
inference(subsumption_resolution,[],[f3178,f340]) ).
fof(f3178,plain,
( ~ aElement0(sK16)
| spl32_173 ),
inference(resolution,[],[f3132,f179]) ).
fof(f3132,plain,
( ~ aElement0(smndt0(sK16))
| spl32_173 ),
inference(avatar_component_clause,[],[f3131]) ).
fof(f3177,plain,
( spl32_175
| ~ spl32_173 ),
inference(avatar_split_clause,[],[f3139,f3131,f3174]) ).
fof(f3174,plain,
( spl32_175
<=> sz00 = sdtasdt0(sz00,smndt0(sK16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_175])]) ).
fof(f3139,plain,
( sz00 = sdtasdt0(sz00,smndt0(sK16))
| ~ spl32_173 ),
inference(resolution,[],[f3133,f181]) ).
fof(f3137,plain,
( spl32_173
| spl32_174
| ~ spl32_94
| ~ spl32_120 ),
inference(avatar_split_clause,[],[f1675,f1497,f1164,f3135,f3131]) ).
fof(f3135,plain,
( spl32_174
<=> ! [X0] :
( ~ sP4(X0,sK16)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_174])]) ).
fof(f1675,plain,
( ! [X0] :
( ~ sP4(X0,sK16)
| aElement0(smndt0(sK16))
| ~ aSet0(X0) )
| ~ spl32_94
| ~ spl32_120 ),
inference(resolution,[],[f1620,f178]) ).
fof(f3105,plain,
( spl32_172
| ~ spl32_171 ),
inference(avatar_split_clause,[],[f3089,f3074,f3102]) ).
fof(f3102,plain,
( spl32_172
<=> sz00 = sdtasdt0(sz00,smndt0(sK20(sK16))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_172])]) ).
fof(f3089,plain,
( sz00 = sdtasdt0(sz00,smndt0(sK20(sK16)))
| ~ spl32_171 ),
inference(resolution,[],[f3076,f181]) ).
fof(f3077,plain,
( spl32_171
| ~ spl32_3
| ~ spl32_170 ),
inference(avatar_split_clause,[],[f3072,f3067,f245,f3074]) ).
fof(f3072,plain,
( aElement0(smndt0(sK20(sK16)))
| ~ spl32_3
| ~ spl32_170 ),
inference(subsumption_resolution,[],[f3071,f247]) ).
fof(f3071,plain,
( aElement0(smndt0(sK20(sK16)))
| ~ aSet0(xJ)
| ~ spl32_170 ),
inference(resolution,[],[f3069,f178]) ).
fof(f3070,plain,
( spl32_170
| ~ spl32_15
| ~ spl32_107
| ~ spl32_120 ),
inference(avatar_split_clause,[],[f3065,f1497,f1288,f310,f3067]) ).
fof(f1288,plain,
( spl32_107
<=> smndt0(sK20(sK16)) = sdtasdt0(smndt0(sz10),sK20(sK16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_107])]) ).
fof(f3065,plain,
( aElementOf0(smndt0(sK20(sK16)),xJ)
| ~ spl32_15
| ~ spl32_107
| ~ spl32_120 ),
inference(subsumption_resolution,[],[f1457,f1498]) ).
fof(f1457,plain,
( aElementOf0(smndt0(sK20(sK16)),xJ)
| ~ aElement0(smndt0(sz10))
| ~ spl32_15
| ~ spl32_107 ),
inference(subsumption_resolution,[],[f1439,f312]) ).
fof(f1439,plain,
( aElementOf0(smndt0(sK20(sK16)),xJ)
| ~ aElement0(smndt0(sz10))
| ~ aElementOf0(sK20(sK16),xJ)
| ~ spl32_107 ),
inference(superposition,[],[f173,f1290]) ).
fof(f1290,plain,
( smndt0(sK20(sK16)) = sdtasdt0(smndt0(sz10),sK20(sK16))
| ~ spl32_107 ),
inference(avatar_component_clause,[],[f1288]) ).
fof(f3039,plain,
( spl32_169
| ~ spl32_21 ),
inference(avatar_split_clause,[],[f2689,f353,f3036]) ).
fof(f3036,plain,
( spl32_169
<=> sz00 = sdtpldt0(sK19(sK18),smndt0(sK19(sK18))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_169])]) ).
fof(f2689,plain,
( sz00 = sdtpldt0(sK19(sK18),smndt0(sK19(sK18)))
| ~ spl32_21 ),
inference(resolution,[],[f355,f186]) ).
fof(f3015,plain,
( ~ spl32_168
| spl32_11
| ~ spl32_53
| ~ spl32_110
| ~ spl32_113 ),
inference(avatar_split_clause,[],[f3005,f1459,f1374,f643,f287,f3012]) ).
fof(f3012,plain,
( spl32_168
<=> sz00 = sK18 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_168])]) ).
fof(f3005,plain,
( sz00 != sK18
| spl32_11
| ~ spl32_53
| ~ spl32_110
| ~ spl32_113 ),
inference(resolution,[],[f288,f2312]) ).
fof(f288,plain,
( ~ aElementOf0(sK18,sdtpldt1(xI,xJ))
| spl32_11 ),
inference(avatar_component_clause,[],[f287]) ).
fof(f3010,plain,
( ~ spl32_167
| spl32_11
| ~ spl32_13
| ~ spl32_15
| ~ spl32_101 ),
inference(avatar_split_clause,[],[f3004,f1252,f310,f298,f287,f3007]) ).
fof(f3007,plain,
( spl32_167
<=> sK16 = sK18 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_167])]) ).
fof(f3004,plain,
( sK16 != sK18
| spl32_11
| ~ spl32_13
| ~ spl32_15
| ~ spl32_101 ),
inference(resolution,[],[f288,f2328]) ).
fof(f2962,plain,
( spl32_166
| ~ spl32_23 ),
inference(avatar_split_clause,[],[f2251,f363,f2959]) ).
fof(f2959,plain,
( spl32_166
<=> sz00 = sdtpldt0(sK20(sK18),smndt0(sK20(sK18))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_166])]) ).
fof(f2251,plain,
( sz00 = sdtpldt0(sK20(sK18),smndt0(sK20(sK18)))
| ~ spl32_23 ),
inference(resolution,[],[f365,f186]) ).
fof(f2924,plain,
( ~ spl32_165
| ~ spl32_14
| ~ spl32_16
| spl32_104
| ~ spl32_141 ),
inference(avatar_split_clause,[],[f2908,f1991,f1271,f315,f303,f2921]) ).
fof(f1991,plain,
( spl32_141
<=> sK18 = sdtpldt0(sK19(sK18),sK20(sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_141])]) ).
fof(f2908,plain,
( sdtasdt0(sK17,sK16) != sK18
| ~ spl32_14
| ~ spl32_16
| spl32_104
| ~ spl32_141 ),
inference(resolution,[],[f2667,f1273]) ).
fof(f2667,plain,
( ! [X31] :
( aElementOf0(X31,sdtpldt1(xI,xJ))
| sK18 != X31 )
| ~ spl32_14
| ~ spl32_16
| ~ spl32_141 ),
inference(global_subsumption,[],[f133,f132,f141,f138,f137,f136,f165,f164,f163,f154,f153,f152,f195,f194,f193,f203,f202,f201,f200,f212,f211,f210,f221,f220,f219,f218,f217,f216,f224,f229,f230,f231,f233,f232,f167,f170,f171,f174,f175,f176,f177,f156,f166,f161,f196,f179,f162,f206,f157,f158,f178,f180,f181,f392,f182,f421,f183,f455,f184,f505,f185,f533,f213,f146,f147,f149,f150,f186,f702,f187,f729,f197,f198,f199,f225,f845,f846,f847,f848,f849,f850,f851,f852,f226,f909,f910,f911,f912,f913,f914,f915,f916,f142,f794,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f144,f369,f1029,f1030,f1031,f1042,f188,f1092,f1093,f1094,f1107,f189,f1171,f1172,f1173,f1186,f159,f169,f173,f130,f131,f191,f1542,f1544,f1545,f1546,f207,f208,f168,f172,f139,f140,f190,f1925,f1927,f1928,f1929,f222,f1969,f227,f1972,f1975,f1976,f1989,f1993,f2043,f2048,f2045,f228,f2129,f2133,f2134,f2146,f2047,f192,f2170,f2171,f2172,f2173,f204,f2196,f2046,f205,f317,f155,f2271,f2273,f2274,f160,f2330,f2310,f143,f145,f2406,f209,f214,f2489,f215,f223,f2517,f2578,f134,f305,f135,f148,f151,f2329]) ).
fof(f2329,plain,
( ! [X31] :
( sK18 != X31
| aElementOf0(X31,sdtpldt1(xI,xJ))
| ~ aElementOf0(sK19(sK18),xI) )
| ~ spl32_16
| ~ spl32_141 ),
inference(subsumption_resolution,[],[f2308,f317]) ).
fof(f2308,plain,
( ! [X31] :
( sK18 != X31
| aElementOf0(X31,sdtpldt1(xI,xJ))
| ~ aElementOf0(sK20(sK18),xJ)
| ~ aElementOf0(sK19(sK18),xI) )
| ~ spl32_141 ),
inference(superposition,[],[f160,f1993]) ).
fof(f2578,plain,
( ! [X31] :
( sK18 != X31
| aElementOf0(X31,sdtpldt1(xI,xJ)) )
| ~ spl32_14
| ~ spl32_16
| ~ spl32_141 ),
inference(global_subsumption,[],[f133,f132,f141,f138,f137,f136,f135,f134,f148,f151,f165,f164,f163,f154,f153,f152,f195,f194,f193,f203,f202,f201,f200,f212,f211,f210,f221,f220,f219,f218,f217,f216,f224,f229,f230,f231,f233,f232,f167,f170,f171,f174,f175,f176,f177,f156,f166,f161,f196,f179,f162,f206,f157,f158,f178,f180,f181,f392,f182,f421,f183,f455,f184,f505,f185,f533,f213,f146,f147,f149,f150,f186,f702,f187,f729,f197,f198,f199,f225,f845,f846,f847,f848,f849,f850,f851,f852,f226,f909,f910,f911,f912,f913,f914,f915,f916,f142,f794,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f144,f369,f1029,f1030,f1031,f1042,f188,f1092,f1093,f1094,f1107,f189,f1171,f1172,f1173,f1186,f159,f169,f173,f130,f131,f191,f1542,f1544,f1545,f1546,f207,f208,f168,f172,f139,f140,f190,f1925,f1927,f1928,f1929,f222,f1969,f227,f1972,f1975,f1976,f1989,f1993,f2043,f2048,f2045,f228,f2129,f2133,f2134,f2146,f2047,f192,f2170,f2171,f2172,f2173,f204,f2196,f2046,f205,f317,f155,f2271,f2273,f2274,f160,f2330,f2310,f143,f145,f2406,f209,f214,f2489,f305,f215,f223,f2517,f2329]) ).
fof(f2489,plain,
( ! [X31] :
( sK18 != X31
| aElementOf0(X31,sdtpldt1(xI,xJ)) )
| ~ spl32_14
| ~ spl32_16
| ~ spl32_141 ),
inference(global_subsumption,[],[f133,f132,f141,f138,f137,f136,f135,f134,f148,f151,f165,f164,f163,f154,f153,f152,f195,f194,f193,f203,f202,f201,f200,f212,f211,f210,f221,f220,f219,f218,f217,f216,f215,f224,f223,f229,f230,f231,f233,f232,f167,f170,f171,f174,f175,f176,f177,f156,f166,f161,f196,f179,f162,f206,f157,f158,f178,f180,f181,f392,f182,f421,f183,f455,f184,f505,f185,f533,f213,f146,f147,f149,f150,f186,f702,f187,f729,f197,f198,f199,f225,f845,f846,f847,f848,f849,f850,f851,f852,f226,f909,f910,f911,f912,f913,f914,f915,f916,f142,f794,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f144,f369,f1029,f1030,f1031,f1042,f188,f1092,f1093,f1094,f1107,f189,f1171,f1172,f1173,f1186,f159,f169,f173,f130,f131,f191,f1542,f1544,f1545,f1546,f207,f208,f168,f172,f139,f140,f190,f1925,f1927,f1928,f1929,f222,f1969,f227,f1972,f1975,f1976,f1989,f1993,f2043,f2048,f2045,f228,f2129,f2133,f2134,f2146,f2047,f192,f2170,f2171,f2172,f2173,f204,f2196,f2046,f205,f317,f155,f2271,f2273,f2274,f160,f2330,f2310,f143,f145,f2406,f209,f305,f214,f2329]) ).
fof(f2406,plain,
( ! [X31] :
( sK18 != X31
| aElementOf0(X31,sdtpldt1(xI,xJ)) )
| ~ spl32_14
| ~ spl32_16
| ~ spl32_141 ),
inference(global_subsumption,[],[f133,f132,f141,f138,f137,f136,f135,f134,f148,f151,f165,f164,f163,f154,f153,f152,f195,f194,f193,f203,f202,f201,f200,f212,f211,f210,f209,f221,f220,f219,f218,f217,f216,f215,f214,f224,f223,f229,f230,f231,f233,f232,f167,f170,f171,f174,f175,f176,f177,f156,f166,f161,f196,f179,f162,f206,f157,f158,f178,f180,f181,f392,f182,f421,f183,f455,f184,f505,f185,f533,f213,f146,f147,f149,f150,f186,f702,f187,f729,f197,f198,f199,f225,f845,f846,f847,f848,f849,f850,f851,f852,f226,f909,f910,f911,f912,f913,f914,f915,f916,f142,f794,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f144,f369,f1029,f1030,f1031,f1042,f188,f1092,f1093,f1094,f1107,f189,f1171,f1172,f1173,f1186,f159,f169,f173,f130,f131,f191,f1542,f1544,f1545,f1546,f207,f208,f168,f172,f139,f140,f190,f1925,f1927,f1928,f1929,f222,f1969,f227,f1972,f1975,f1976,f1989,f1993,f2043,f2048,f2045,f228,f2129,f2133,f2134,f2146,f2047,f192,f2170,f2171,f2172,f2173,f204,f2196,f2046,f305,f205,f317,f155,f2271,f2273,f2274,f160,f2330,f2310,f143,f145,f2329]) ).
fof(f2330,plain,
( ! [X31] :
( sK18 != X31
| aElementOf0(X31,sdtpldt1(xI,xJ)) )
| ~ spl32_14
| ~ spl32_16
| ~ spl32_141 ),
inference(subsumption_resolution,[],[f2329,f305]) ).
fof(f2046,plain,
( aElement0(sK18)
| ~ aElement0(sK20(sK18))
| ~ aElement0(sK19(sK18))
| ~ spl32_141 ),
inference(superposition,[],[f226,f1993]) ).
fof(f2047,plain,
( aElementOf0(sK18,xJ)
| ~ aElementOf0(sK19(sK18),xJ)
| ~ spl32_16
| ~ spl32_141 ),
inference(subsumption_resolution,[],[f2044,f317]) ).
fof(f2044,plain,
( aElementOf0(sK18,xJ)
| ~ aElementOf0(sK20(sK18),xJ)
| ~ aElementOf0(sK19(sK18),xJ)
| ~ spl32_141 ),
inference(superposition,[],[f172,f1993]) ).
fof(f2045,plain,
( aElementOf0(sK18,xI)
| ~ aElementOf0(sK20(sK18),xI)
| ~ aElementOf0(sK19(sK18),xI)
| ~ spl32_141 ),
inference(superposition,[],[f168,f1993]) ).
fof(f2048,plain,
( aElementOf0(sK18,xI)
| ~ aElementOf0(sK20(sK18),xI)
| ~ spl32_14
| ~ spl32_141 ),
inference(subsumption_resolution,[],[f2045,f305]) ).
fof(f2043,plain,
( ! [X0] :
( aElementOf0(sK18,X0)
| ~ aElementOf0(sK20(sK18),X0)
| ~ sP4(X0,sK19(sK18)) )
| ~ spl32_141 ),
inference(superposition,[],[f190,f1993]) ).
fof(f1993,plain,
( sK18 = sdtpldt0(sK19(sK18),sK20(sK18))
| ~ spl32_141 ),
inference(avatar_component_clause,[],[f1991]) ).
fof(f2919,plain,
( ~ spl32_164
| ~ spl32_14
| ~ spl32_16
| spl32_17
| ~ spl32_141 ),
inference(avatar_split_clause,[],[f2907,f1991,f321,f315,f303,f2916]) ).
fof(f2916,plain,
( spl32_164
<=> sK18 = sdtpldt0(sK16,sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_164])]) ).
fof(f2907,plain,
( sK18 != sdtpldt0(sK16,sK18)
| ~ spl32_14
| ~ spl32_16
| spl32_17
| ~ spl32_141 ),
inference(resolution,[],[f2667,f323]) ).
fof(f2871,plain,
( ~ spl32_163
| ~ spl32_13
| ~ spl32_15
| ~ spl32_101
| spl32_104 ),
inference(avatar_split_clause,[],[f2849,f1271,f1252,f310,f298,f2868]) ).
fof(f2849,plain,
( sK16 != sdtasdt0(sK17,sK16)
| ~ spl32_13
| ~ spl32_15
| ~ spl32_101
| spl32_104 ),
inference(resolution,[],[f2328,f1273]) ).
fof(f2860,plain,
( ~ spl32_162
| ~ spl32_13
| ~ spl32_15
| spl32_17
| ~ spl32_101 ),
inference(avatar_split_clause,[],[f2848,f1252,f321,f310,f298,f2857]) ).
fof(f2857,plain,
( spl32_162
<=> sK16 = sdtpldt0(sK16,sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_162])]) ).
fof(f2848,plain,
( sK16 != sdtpldt0(sK16,sK18)
| ~ spl32_13
| ~ spl32_15
| spl32_17
| ~ spl32_101 ),
inference(resolution,[],[f2328,f323]) ).
fof(f2738,plain,
( ~ spl32_161
| ~ spl32_53
| spl32_104
| ~ spl32_110
| ~ spl32_113 ),
inference(avatar_split_clause,[],[f2722,f1459,f1374,f1271,f643,f2735]) ).
fof(f2722,plain,
( sz00 != sdtasdt0(sK17,sK16)
| ~ spl32_53
| spl32_104
| ~ spl32_110
| ~ spl32_113 ),
inference(resolution,[],[f2312,f1273]) ).
fof(f2733,plain,
( ~ spl32_160
| spl32_17
| ~ spl32_53
| ~ spl32_110
| ~ spl32_113 ),
inference(avatar_split_clause,[],[f2721,f1459,f1374,f643,f321,f2730]) ).
fof(f2730,plain,
( spl32_160
<=> sz00 = sdtpldt0(sK16,sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_160])]) ).
fof(f2721,plain,
( sz00 != sdtpldt0(sK16,sK18)
| spl32_17
| ~ spl32_53
| ~ spl32_110
| ~ spl32_113 ),
inference(resolution,[],[f2312,f323]) ).
fof(f2697,plain,
( spl32_14
| ~ spl32_11 ),
inference(avatar_split_clause,[],[f296,f287,f303]) ).
fof(f2677,plain,
( spl32_21
| ~ spl32_1
| ~ spl32_14 ),
inference(avatar_split_clause,[],[f334,f303,f235,f353]) ).
fof(f2664,plain,
( spl32_159
| ~ spl32_139 ),
inference(avatar_split_clause,[],[f2653,f1864,f2661]) ).
fof(f2661,plain,
( spl32_159
<=> sz00 = sdtasdt0(smndt0(smndt0(sK17)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_159])]) ).
fof(f2653,plain,
( sz00 = sdtasdt0(smndt0(smndt0(sK17)),sz00)
| ~ spl32_139 ),
inference(resolution,[],[f1866,f369]) ).
fof(f2620,plain,
( spl32_158
| ~ spl32_21 ),
inference(avatar_split_clause,[],[f2603,f353,f2617]) ).
fof(f2617,plain,
( spl32_158
<=> sz00 = sdtasdt0(smndt0(sK19(sK18)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_158])]) ).
fof(f2603,plain,
( sz00 = sdtasdt0(smndt0(sK19(sK18)),sz00)
| ~ spl32_21 ),
inference(resolution,[],[f355,f369]) ).
fof(f2605,plain,
( spl32_14
| ~ spl32_11 ),
inference(avatar_split_clause,[],[f296,f287,f303]) ).
fof(f2590,plain,
( spl32_21
| ~ spl32_1
| ~ spl32_14 ),
inference(avatar_split_clause,[],[f334,f303,f235,f353]) ).
fof(f2575,plain,
( spl32_157
| ~ spl32_139 ),
inference(avatar_split_clause,[],[f2556,f1864,f2572]) ).
fof(f2572,plain,
( spl32_157
<=> smndt0(sK17) = sdtpldt0(sz00,smndt0(sK17)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_157])]) ).
fof(f2556,plain,
( smndt0(sK17) = sdtpldt0(sz00,smndt0(sK17))
| ~ spl32_139 ),
inference(resolution,[],[f1866,f185]) ).
fof(f2530,plain,
( spl32_156
| ~ spl32_21 ),
inference(avatar_split_clause,[],[f2504,f353,f2527]) ).
fof(f2527,plain,
( spl32_156
<=> sK19(sK18) = sdtpldt0(sz00,sK19(sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_156])]) ).
fof(f2504,plain,
( sK19(sK18) = sdtpldt0(sz00,sK19(sK18))
| ~ spl32_21 ),
inference(resolution,[],[f355,f185]) ).
fof(f2513,plain,
( spl32_14
| ~ spl32_11 ),
inference(avatar_split_clause,[],[f296,f287,f303]) ).
fof(f2498,plain,
( spl32_21
| ~ spl32_1
| ~ spl32_14 ),
inference(avatar_split_clause,[],[f334,f303,f235,f353]) ).
fof(f2486,plain,
( spl32_155
| ~ spl32_139 ),
inference(avatar_split_clause,[],[f2467,f1864,f2483]) ).
fof(f2483,plain,
( spl32_155
<=> smndt0(sK17) = sdtpldt0(smndt0(sK17),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_155])]) ).
fof(f2467,plain,
( smndt0(sK17) = sdtpldt0(smndt0(sK17),sz00)
| ~ spl32_139 ),
inference(resolution,[],[f1866,f184]) ).
fof(f2443,plain,
( spl32_154
| ~ spl32_21 ),
inference(avatar_split_clause,[],[f2420,f353,f2440]) ).
fof(f2440,plain,
( spl32_154
<=> sK19(sK18) = sdtpldt0(sK19(sK18),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_154])]) ).
fof(f2420,plain,
( sK19(sK18) = sdtpldt0(sK19(sK18),sz00)
| ~ spl32_21 ),
inference(resolution,[],[f355,f184]) ).
fof(f2430,plain,
( spl32_14
| ~ spl32_11 ),
inference(avatar_split_clause,[],[f296,f287,f303]) ).
fof(f2415,plain,
( spl32_21
| ~ spl32_1
| ~ spl32_14 ),
inference(avatar_split_clause,[],[f334,f303,f235,f353]) ).
fof(f2403,plain,
( spl32_153
| ~ spl32_139 ),
inference(avatar_split_clause,[],[f2376,f1864,f2400]) ).
fof(f2400,plain,
( spl32_153
<=> smndt0(sK17) = sdtasdt0(sz10,smndt0(sK17)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_153])]) ).
fof(f2376,plain,
( smndt0(sK17) = sdtasdt0(sz10,smndt0(sK17))
| ~ spl32_139 ),
inference(resolution,[],[f1866,f183]) ).
fof(f2353,plain,
( spl32_152
| ~ spl32_21 ),
inference(avatar_split_clause,[],[f2235,f353,f2350]) ).
fof(f2350,plain,
( spl32_152
<=> sK19(sK18) = sdtasdt0(sz10,sK19(sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_152])]) ).
fof(f2235,plain,
( sK19(sK18) = sdtasdt0(sz10,sK19(sK18))
| ~ spl32_21 ),
inference(resolution,[],[f355,f183]) ).
fof(f2338,plain,
( ~ spl32_151
| ~ spl32_14
| ~ spl32_141
| spl32_147 ),
inference(avatar_split_clause,[],[f2211,f2179,f1991,f303,f2334]) ).
fof(f2334,plain,
( spl32_151
<=> aElementOf0(sK20(sK18),xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_151])]) ).
fof(f2179,plain,
( spl32_147
<=> aElementOf0(sK18,xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_147])]) ).
fof(f2211,plain,
( ~ aElementOf0(sK20(sK18),xI)
| ~ spl32_14
| ~ spl32_141
| spl32_147 ),
inference(subsumption_resolution,[],[f2048,f2181]) ).
fof(f2181,plain,
( ~ aElementOf0(sK18,xI)
| spl32_147 ),
inference(avatar_component_clause,[],[f2179]) ).
fof(f2337,plain,
( ~ spl32_151
| ~ spl32_14
| ~ spl32_141
| spl32_147 ),
inference(avatar_split_clause,[],[f2205,f2179,f1991,f303,f2334]) ).
fof(f2205,plain,
( ~ aElementOf0(sK20(sK18),xI)
| ~ spl32_14
| ~ spl32_141
| spl32_147 ),
inference(global_subsumption,[],[f133,f132,f145,f143,f141,f138,f137,f136,f135,f134,f148,f151,f165,f164,f163,f160,f155,f154,f153,f152,f195,f194,f193,f203,f202,f201,f200,f205,f212,f211,f210,f209,f221,f220,f219,f218,f217,f216,f215,f214,f224,f223,f229,f230,f231,f233,f232,f167,f170,f171,f174,f175,f176,f177,f156,f166,f161,f196,f179,f162,f206,f157,f158,f178,f180,f181,f392,f182,f421,f183,f455,f184,f505,f185,f533,f213,f146,f147,f149,f150,f186,f702,f187,f729,f197,f198,f199,f225,f845,f846,f847,f848,f849,f850,f851,f852,f226,f909,f910,f911,f912,f913,f914,f915,f916,f142,f794,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f144,f369,f1029,f1030,f1031,f1042,f188,f1092,f1093,f1094,f1107,f189,f1171,f1172,f1173,f1186,f159,f169,f173,f130,f131,f191,f1542,f1544,f1545,f1546,f207,f208,f168,f172,f139,f305,f140,f190,f1925,f1927,f1928,f1929,f222,f1969,f227,f1972,f1975,f1976,f1989,f1993,f2043,f2048,f2045,f228,f2129,f2133,f2134,f2146,f192,f2170,f2171,f2172,f2173,f2181,f204,f2196,f2204]) ).
fof(f2204,plain,
( ~ aElementOf0(sK20(sK18),xI)
| ~ aElementOf0(sK19(sK18),xI)
| ~ spl32_141
| spl32_147 ),
inference(subsumption_resolution,[],[f2045,f2181]) ).
fof(f2261,plain,
( spl32_16
| ~ spl32_11 ),
inference(avatar_split_clause,[],[f308,f287,f315]) ).
fof(f2259,plain,
( spl32_14
| ~ spl32_11 ),
inference(avatar_split_clause,[],[f296,f287,f303]) ).
fof(f2231,plain,
( spl32_23
| ~ spl32_3
| ~ spl32_16 ),
inference(avatar_split_clause,[],[f336,f315,f245,f363]) ).
fof(f2230,plain,
( spl32_21
| ~ spl32_1
| ~ spl32_14 ),
inference(avatar_split_clause,[],[f334,f303,f235,f353]) ).
fof(f2212,plain,
( spl32_19
| ~ spl32_8
| ~ spl32_11 ),
inference(avatar_split_clause,[],[f332,f287,f270,f343]) ).
fof(f2201,plain,
( spl32_150
| ~ spl32_139 ),
inference(avatar_split_clause,[],[f2111,f1864,f2198]) ).
fof(f2198,plain,
( spl32_150
<=> smndt0(sK17) = sdtasdt0(smndt0(sK17),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_150])]) ).
fof(f2111,plain,
( smndt0(sK17) = sdtasdt0(smndt0(sK17),sz10)
| ~ spl32_139 ),
inference(resolution,[],[f1866,f182]) ).
fof(f2192,plain,
( ~ spl32_149
| ~ spl32_97
| ~ spl32_120
| spl32_148 ),
inference(avatar_split_clause,[],[f2187,f2183,f1497,f1214,f2189]) ).
fof(f2189,plain,
( spl32_149
<=> sP4(xI,sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_149])]) ).
fof(f2183,plain,
( spl32_148
<=> aElementOf0(smndt0(sK18),xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_148])]) ).
fof(f2187,plain,
( ~ sP4(xI,sK18)
| ~ spl32_97
| ~ spl32_120
| spl32_148 ),
inference(resolution,[],[f2184,f2053]) ).
fof(f2184,plain,
( ~ aElementOf0(smndt0(sK18),xI)
| spl32_148 ),
inference(avatar_component_clause,[],[f2183]) ).
fof(f2186,plain,
( ~ spl32_147
| spl32_148
| ~ spl32_97
| ~ spl32_120 ),
inference(avatar_split_clause,[],[f2055,f1497,f1214,f2183,f2179]) ).
fof(f2055,plain,
( aElementOf0(smndt0(sK18),xI)
| ~ aElementOf0(sK18,xI)
| ~ spl32_97
| ~ spl32_120 ),
inference(subsumption_resolution,[],[f2051,f1498]) ).
fof(f2051,plain,
( aElementOf0(smndt0(sK18),xI)
| ~ aElement0(smndt0(sz10))
| ~ aElementOf0(sK18,xI)
| ~ spl32_97 ),
inference(superposition,[],[f169,f1216]) ).
fof(f2168,plain,
( spl32_146
| ~ spl32_23 ),
inference(avatar_split_clause,[],[f1919,f363,f2165]) ).
fof(f2165,plain,
( spl32_146
<=> sz00 = sdtasdt0(smndt0(sK20(sK18)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_146])]) ).
fof(f1919,plain,
( sz00 = sdtasdt0(smndt0(sK20(sK18)),sz00)
| ~ spl32_23 ),
inference(resolution,[],[f365,f369]) ).
fof(f2155,plain,
( ~ spl32_144
| spl32_145
| ~ spl32_16
| ~ spl32_141 ),
inference(avatar_split_clause,[],[f2047,f1991,f315,f2152,f2148]) ).
fof(f2148,plain,
( spl32_144
<=> aElementOf0(sK19(sK18),xJ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_144])]) ).
fof(f2152,plain,
( spl32_145
<=> aElementOf0(sK18,xJ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_145])]) ).
fof(f2090,plain,
( spl32_11
| spl32_19
| ~ spl32_21
| ~ spl32_23
| ~ spl32_141 ),
inference(avatar_contradiction_clause,[],[f2089]) ).
fof(f2089,plain,
( $false
| spl32_11
| spl32_19
| ~ spl32_21
| ~ spl32_23
| ~ spl32_141 ),
inference(global_subsumption,[],[f288,f133,f132,f145,f143,f141,f138,f137,f136,f135,f134,f148,f151,f165,f164,f163,f160,f155,f154,f153,f152,f195,f194,f193,f192,f203,f202,f201,f200,f205,f204,f212,f211,f210,f209,f221,f220,f219,f218,f217,f216,f215,f214,f224,f223,f228,f229,f230,f231,f233,f232,f167,f170,f171,f174,f175,f176,f177,f156,f166,f161,f196,f179,f162,f206,f157,f158,f178,f180,f181,f392,f396,f182,f421,f425,f183,f455,f459,f184,f505,f509,f511,f185,f533,f537,f539,f213,f146,f373,f407,f408,f147,f149,f150,f427,f461,f186,f702,f187,f729,f750,f752,f753,f754,f755,f756,f757,f761,f763,f764,f765,f197,f198,f751,f199,f225,f845,f846,f847,f848,f849,f850,f851,f852,f762,f226,f909,f910,f911,f912,f913,f914,f915,f916,f142,f794,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f144,f369,f1029,f1030,f1031,f1042,f1066,f1068,f1069,f1070,f1071,f1072,f1073,f1078,f1080,f1081,f1082,f188,f1092,f1093,f1094,f1103,f1106,f1107,f189,f1171,f1172,f1173,f1182,f1185,f1186,f1067,f159,f1079,f169,f173,f130,f131,f191,f1542,f1544,f1545,f1546,f207,f208,f168,f172,f139,f355,f1900,f1901,f1902,f1903,f1904,f1905,f1906,f1907,f1908,f365,f1914,f1915,f1916,f1917,f1918,f1919,f140,f190,f1925,f1927,f1928,f1929,f222,f1969,f227,f1972,f1975,f1976,f1985,f1988,f1989,f1993,f2043,f2068,f344]) ).
fof(f344,plain,
( ~ aElement0(sK18)
| spl32_19 ),
inference(avatar_component_clause,[],[f343]) ).
fof(f2068,plain,
( aElement0(sK18)
| ~ spl32_21
| ~ spl32_23
| ~ spl32_141 ),
inference(subsumption_resolution,[],[f2067,f355]) ).
fof(f2067,plain,
( aElement0(sK18)
| ~ aElement0(sK19(sK18))
| ~ spl32_23
| ~ spl32_141 ),
inference(subsumption_resolution,[],[f2046,f365]) ).
fof(f1988,plain,
( ! [X31] :
( sdtasdt0(X31,sK20(sK18)) = sdtasdt0(sK20(sK18),X31)
| ~ aElement0(X31) )
| ~ spl32_23 ),
inference(resolution,[],[f227,f365]) ).
fof(f1985,plain,
( ! [X28] :
( sdtasdt0(X28,sK19(sK18)) = sdtasdt0(sK19(sK18),X28)
| ~ aElement0(X28) )
| ~ spl32_21 ),
inference(resolution,[],[f227,f355]) ).
fof(f1918,plain,
( smndt0(sK20(sK18)) = sdtasdt0(sK20(sK18),smndt0(sz10))
| ~ spl32_23 ),
inference(resolution,[],[f365,f189]) ).
fof(f1917,plain,
( smndt0(sK20(sK18)) = sdtasdt0(smndt0(sz10),sK20(sK18))
| ~ spl32_23 ),
inference(resolution,[],[f365,f188]) ).
fof(f1916,plain,
( sz00 = sdtpldt0(smndt0(sK20(sK18)),sK20(sK18))
| ~ spl32_23 ),
inference(resolution,[],[f365,f187]) ).
fof(f1915,plain,
( sz00 = sdtpldt0(sK20(sK18),smndt0(sK20(sK18)))
| ~ spl32_23 ),
inference(resolution,[],[f365,f186]) ).
fof(f1914,plain,
( sK20(sK18) = sdtpldt0(sz00,sK20(sK18))
| ~ spl32_23 ),
inference(resolution,[],[f365,f185]) ).
fof(f1908,plain,
( sz00 = sdtasdt0(smndt0(sK19(sK18)),sz00)
| ~ spl32_21 ),
inference(resolution,[],[f355,f369]) ).
fof(f1907,plain,
( smndt0(sK19(sK18)) = sdtasdt0(sK19(sK18),smndt0(sz10))
| ~ spl32_21 ),
inference(resolution,[],[f355,f189]) ).
fof(f1906,plain,
( smndt0(sK19(sK18)) = sdtasdt0(smndt0(sz10),sK19(sK18))
| ~ spl32_21 ),
inference(resolution,[],[f355,f188]) ).
fof(f1905,plain,
( sz00 = sdtpldt0(smndt0(sK19(sK18)),sK19(sK18))
| ~ spl32_21 ),
inference(resolution,[],[f355,f187]) ).
fof(f1904,plain,
( sz00 = sdtpldt0(sK19(sK18),smndt0(sK19(sK18)))
| ~ spl32_21 ),
inference(resolution,[],[f355,f186]) ).
fof(f1903,plain,
( sK19(sK18) = sdtpldt0(sz00,sK19(sK18))
| ~ spl32_21 ),
inference(resolution,[],[f355,f185]) ).
fof(f1902,plain,
( sK19(sK18) = sdtpldt0(sK19(sK18),sz00)
| ~ spl32_21 ),
inference(resolution,[],[f355,f184]) ).
fof(f1901,plain,
( sK19(sK18) = sdtasdt0(sz10,sK19(sK18))
| ~ spl32_21 ),
inference(resolution,[],[f355,f183]) ).
fof(f1900,plain,
( sK19(sK18) = sdtasdt0(sK19(sK18),sz10)
| ~ spl32_21 ),
inference(resolution,[],[f355,f182]) ).
fof(f1079,plain,
( sK20(sK18) = sdtpldt0(sz00,sK20(sK18))
| ~ spl32_23 ),
inference(resolution,[],[f365,f185]) ).
fof(f1067,plain,
( sK19(sK18) = sdtasdt0(sK19(sK18),sz10)
| ~ spl32_21 ),
inference(resolution,[],[f355,f182]) ).
fof(f1185,plain,
( smndt0(sK20(sK18)) = sdtasdt0(sK20(sK18),smndt0(sz10))
| ~ spl32_23 ),
inference(resolution,[],[f189,f365]) ).
fof(f1182,plain,
( smndt0(sK19(sK18)) = sdtasdt0(sK19(sK18),smndt0(sz10))
| ~ spl32_21 ),
inference(resolution,[],[f189,f355]) ).
fof(f1106,plain,
( smndt0(sK20(sK18)) = sdtasdt0(smndt0(sz10),sK20(sK18))
| ~ spl32_23 ),
inference(resolution,[],[f188,f365]) ).
fof(f1103,plain,
( smndt0(sK19(sK18)) = sdtasdt0(smndt0(sz10),sK19(sK18))
| ~ spl32_21 ),
inference(resolution,[],[f188,f355]) ).
fof(f1082,plain,
( sz00 = sdtasdt0(smndt0(sK20(sK18)),sz00)
| ~ spl32_23 ),
inference(resolution,[],[f365,f369]) ).
fof(f1081,plain,
( sz00 = sdtpldt0(smndt0(sK20(sK18)),sK20(sK18))
| ~ spl32_23 ),
inference(resolution,[],[f365,f187]) ).
fof(f1080,plain,
( sz00 = sdtpldt0(sK20(sK18),smndt0(sK20(sK18)))
| ~ spl32_23 ),
inference(resolution,[],[f365,f186]) ).
fof(f1078,plain,
( sK20(sK18) = sdtpldt0(sK20(sK18),sz00)
| ~ spl32_23 ),
inference(resolution,[],[f365,f184]) ).
fof(f1073,plain,
( sz00 = sdtasdt0(smndt0(sK19(sK18)),sz00)
| ~ spl32_21 ),
inference(resolution,[],[f355,f369]) ).
fof(f1072,plain,
( sz00 = sdtpldt0(smndt0(sK19(sK18)),sK19(sK18))
| ~ spl32_21 ),
inference(resolution,[],[f355,f187]) ).
fof(f1071,plain,
( sz00 = sdtpldt0(sK19(sK18),smndt0(sK19(sK18)))
| ~ spl32_21 ),
inference(resolution,[],[f355,f186]) ).
fof(f1070,plain,
( sK19(sK18) = sdtpldt0(sz00,sK19(sK18))
| ~ spl32_21 ),
inference(resolution,[],[f355,f185]) ).
fof(f1069,plain,
( sK19(sK18) = sdtpldt0(sK19(sK18),sz00)
| ~ spl32_21 ),
inference(resolution,[],[f355,f184]) ).
fof(f1068,plain,
( sK19(sK18) = sdtasdt0(sz10,sK19(sK18))
| ~ spl32_21 ),
inference(resolution,[],[f355,f183]) ).
fof(f1066,plain,
( sz00 = sdtasdt0(sz00,sK19(sK18))
| ~ spl32_21 ),
inference(resolution,[],[f355,f181]) ).
fof(f762,plain,
( sK20(sK18) = sdtpldt0(sK20(sK18),sz00)
| ~ spl32_23 ),
inference(resolution,[],[f365,f184]) ).
fof(f751,plain,
( sz00 = sdtasdt0(sz00,sK19(sK18))
| ~ spl32_21 ),
inference(resolution,[],[f355,f181]) ).
fof(f765,plain,
( sz00 = sdtpldt0(smndt0(sK20(sK18)),sK20(sK18))
| ~ spl32_23 ),
inference(resolution,[],[f365,f187]) ).
fof(f764,plain,
( sz00 = sdtpldt0(sK20(sK18),smndt0(sK20(sK18)))
| ~ spl32_23 ),
inference(resolution,[],[f365,f186]) ).
fof(f763,plain,
( sK20(sK18) = sdtpldt0(sz00,sK20(sK18))
| ~ spl32_23 ),
inference(resolution,[],[f365,f185]) ).
fof(f761,plain,
( sK20(sK18) = sdtasdt0(sz10,sK20(sK18))
| ~ spl32_23 ),
inference(resolution,[],[f365,f183]) ).
fof(f757,plain,
( sz00 = sdtpldt0(smndt0(sK19(sK18)),sK19(sK18))
| ~ spl32_21 ),
inference(resolution,[],[f355,f187]) ).
fof(f756,plain,
( sz00 = sdtpldt0(sK19(sK18),smndt0(sK19(sK18)))
| ~ spl32_21 ),
inference(resolution,[],[f355,f186]) ).
fof(f755,plain,
( sK19(sK18) = sdtpldt0(sz00,sK19(sK18))
| ~ spl32_21 ),
inference(resolution,[],[f355,f185]) ).
fof(f754,plain,
( sK19(sK18) = sdtpldt0(sK19(sK18),sz00)
| ~ spl32_21 ),
inference(resolution,[],[f355,f184]) ).
fof(f753,plain,
( sK19(sK18) = sdtasdt0(sz10,sK19(sK18))
| ~ spl32_21 ),
inference(resolution,[],[f355,f183]) ).
fof(f752,plain,
( sK19(sK18) = sdtasdt0(sK19(sK18),sz10)
| ~ spl32_21 ),
inference(resolution,[],[f355,f182]) ).
fof(f750,plain,
( sz00 = sdtasdt0(sK19(sK18),sz00)
| ~ spl32_21 ),
inference(resolution,[],[f355,f180]) ).
fof(f461,plain,
( sK20(sK18) = sdtasdt0(sz10,sK20(sK18))
| ~ spl32_23 ),
inference(resolution,[],[f183,f365]) ).
fof(f427,plain,
( sK20(sK18) = sdtasdt0(sK20(sK18),sz10)
| ~ spl32_23 ),
inference(resolution,[],[f182,f365]) ).
fof(f408,plain,
( sz00 = sdtasdt0(sK20(sK18),sz00)
| ~ spl32_23 ),
inference(resolution,[],[f365,f180]) ).
fof(f407,plain,
( sz00 = sdtasdt0(sz00,sK20(sK18))
| ~ spl32_23 ),
inference(resolution,[],[f365,f181]) ).
fof(f373,plain,
( sz00 = sdtasdt0(sK19(sK18),sz00)
| ~ spl32_21 ),
inference(resolution,[],[f180,f355]) ).
fof(f539,plain,
( sK20(sK18) = sdtpldt0(sz00,sK20(sK18))
| ~ spl32_23 ),
inference(resolution,[],[f185,f365]) ).
fof(f537,plain,
( sK19(sK18) = sdtpldt0(sz00,sK19(sK18))
| ~ spl32_21 ),
inference(resolution,[],[f185,f355]) ).
fof(f511,plain,
( sK20(sK18) = sdtpldt0(sK20(sK18),sz00)
| ~ spl32_23 ),
inference(resolution,[],[f184,f365]) ).
fof(f509,plain,
( sK19(sK18) = sdtpldt0(sK19(sK18),sz00)
| ~ spl32_21 ),
inference(resolution,[],[f184,f355]) ).
fof(f459,plain,
( sK19(sK18) = sdtasdt0(sz10,sK19(sK18))
| ~ spl32_21 ),
inference(resolution,[],[f183,f355]) ).
fof(f425,plain,
( sK19(sK18) = sdtasdt0(sK19(sK18),sz10)
| ~ spl32_21 ),
inference(resolution,[],[f182,f355]) ).
fof(f396,plain,
( sz00 = sdtasdt0(sz00,sK19(sK18))
| ~ spl32_21 ),
inference(resolution,[],[f181,f355]) ).
fof(f2088,plain,
( ~ spl32_12
| spl32_19
| ~ spl32_21
| ~ spl32_23
| ~ spl32_141 ),
inference(avatar_contradiction_clause,[],[f2087]) ).
fof(f2087,plain,
( $false
| ~ spl32_12
| spl32_19
| ~ spl32_21
| ~ spl32_23
| ~ spl32_141 ),
inference(global_subsumption,[],[f293,f133,f132,f145,f143,f141,f138,f137,f136,f135,f134,f148,f151,f165,f164,f163,f160,f155,f154,f153,f152,f195,f194,f193,f192,f203,f202,f201,f200,f205,f204,f212,f211,f210,f209,f221,f220,f219,f218,f217,f216,f215,f214,f224,f223,f228,f229,f230,f231,f233,f232,f167,f170,f171,f174,f175,f176,f177,f156,f166,f161,f196,f179,f162,f206,f157,f158,f178,f180,f181,f392,f396,f182,f421,f425,f183,f455,f459,f184,f505,f509,f511,f185,f533,f537,f539,f213,f146,f373,f407,f408,f147,f149,f150,f427,f461,f186,f702,f187,f729,f750,f752,f753,f754,f755,f756,f757,f761,f763,f764,f765,f197,f198,f751,f199,f225,f845,f846,f847,f848,f849,f850,f851,f852,f762,f226,f909,f910,f911,f912,f913,f914,f915,f916,f142,f794,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f144,f369,f1029,f1030,f1031,f1042,f1066,f1068,f1069,f1070,f1071,f1072,f1073,f1078,f1080,f1081,f1082,f188,f1092,f1093,f1094,f1103,f1106,f1107,f189,f1171,f1172,f1173,f1182,f1185,f1186,f1067,f159,f1079,f169,f173,f130,f131,f191,f1542,f1544,f1545,f1546,f207,f208,f168,f172,f139,f355,f1900,f1901,f1902,f1903,f1904,f1905,f1906,f1907,f1908,f365,f1914,f1915,f1916,f1917,f1918,f1919,f140,f190,f1925,f1927,f1928,f1929,f222,f1969,f227,f1972,f1975,f1976,f1985,f1988,f1989,f1993,f2043,f2068,f344]) ).
fof(f2086,plain,
( spl32_19
| ~ spl32_21
| ~ spl32_23
| ~ spl32_141 ),
inference(avatar_contradiction_clause,[],[f2085]) ).
fof(f2085,plain,
( $false
| spl32_19
| ~ spl32_21
| ~ spl32_23
| ~ spl32_141 ),
inference(global_subsumption,[],[f133,f132,f145,f143,f141,f138,f137,f136,f135,f134,f148,f151,f165,f164,f163,f160,f155,f154,f153,f152,f195,f194,f193,f192,f203,f202,f201,f200,f205,f204,f212,f211,f210,f209,f221,f220,f219,f218,f217,f216,f215,f214,f224,f223,f228,f229,f230,f231,f233,f232,f167,f170,f171,f174,f175,f176,f177,f156,f166,f161,f196,f179,f162,f206,f157,f158,f178,f180,f181,f392,f396,f182,f421,f425,f183,f455,f459,f184,f505,f509,f511,f185,f533,f537,f539,f213,f146,f373,f407,f408,f147,f149,f150,f427,f461,f186,f702,f187,f729,f750,f752,f753,f754,f755,f756,f757,f761,f763,f764,f765,f197,f198,f751,f199,f225,f845,f846,f847,f848,f849,f850,f851,f852,f762,f226,f909,f910,f911,f912,f913,f914,f915,f916,f142,f794,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f144,f369,f1029,f1030,f1031,f1042,f1066,f1068,f1069,f1070,f1071,f1072,f1073,f1078,f1080,f1081,f1082,f188,f1092,f1093,f1094,f1103,f1106,f1107,f189,f1171,f1172,f1173,f1182,f1185,f1186,f1067,f159,f1079,f169,f173,f130,f131,f191,f1542,f1544,f1545,f1546,f207,f208,f168,f172,f139,f355,f1900,f1901,f1902,f1903,f1904,f1905,f1906,f1907,f1908,f365,f1914,f1915,f1916,f1917,f1918,f1919,f140,f190,f1925,f1927,f1928,f1929,f222,f1969,f227,f1972,f1975,f1976,f1985,f1988,f1989,f1993,f2043,f2068,f344]) ).
fof(f2084,plain,
( spl32_19
| ~ spl32_21
| ~ spl32_23
| ~ spl32_139
| ~ spl32_141 ),
inference(avatar_contradiction_clause,[],[f2083]) ).
fof(f2083,plain,
( $false
| spl32_19
| ~ spl32_21
| ~ spl32_23
| ~ spl32_139
| ~ spl32_141 ),
inference(global_subsumption,[],[f1866,f133,f132,f145,f143,f141,f138,f137,f136,f135,f134,f148,f151,f165,f164,f163,f160,f155,f154,f153,f152,f195,f194,f193,f192,f203,f202,f201,f200,f205,f204,f212,f211,f210,f209,f221,f220,f219,f218,f217,f216,f215,f214,f224,f223,f228,f229,f230,f231,f233,f232,f167,f170,f171,f174,f175,f176,f177,f156,f166,f161,f196,f179,f162,f206,f157,f158,f178,f180,f181,f392,f396,f182,f421,f425,f183,f455,f459,f184,f505,f509,f511,f185,f533,f537,f539,f213,f146,f373,f407,f408,f147,f149,f150,f427,f461,f186,f702,f187,f729,f750,f752,f753,f754,f755,f756,f757,f761,f763,f764,f765,f197,f198,f751,f199,f225,f845,f846,f847,f848,f849,f850,f851,f852,f762,f226,f909,f910,f911,f912,f913,f914,f915,f916,f142,f794,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f144,f369,f1029,f1030,f1031,f1042,f1066,f1068,f1069,f1070,f1071,f1072,f1073,f1078,f1080,f1081,f1082,f188,f1092,f1093,f1094,f1103,f1106,f1107,f189,f1171,f1172,f1173,f1182,f1185,f1186,f344,f1067,f159,f1079,f169,f173,f130,f131,f191,f1542,f1544,f1545,f1546,f207,f208,f168,f172,f139,f355,f1900,f1901,f1902,f1903,f1904,f1905,f1906,f1907,f1908,f365,f1914,f1915,f1916,f1917,f1918,f1919,f140,f190,f1925,f1927,f1928,f1929,f222,f1969,f227,f1972,f1975,f1976,f1985,f1988,f1989,f1993,f2043,f2068]) ).
fof(f2082,plain,
( spl32_19
| ~ spl32_21
| ~ spl32_23
| ~ spl32_141
| ~ spl32_142 ),
inference(avatar_contradiction_clause,[],[f2081]) ).
fof(f2081,plain,
( $false
| spl32_19
| ~ spl32_21
| ~ spl32_23
| ~ spl32_141
| ~ spl32_142 ),
inference(global_subsumption,[],[f2025,f133,f132,f145,f143,f141,f138,f137,f136,f135,f134,f148,f151,f165,f164,f163,f160,f155,f154,f153,f152,f195,f194,f193,f192,f203,f202,f201,f200,f205,f204,f212,f211,f210,f209,f221,f220,f219,f218,f217,f216,f215,f214,f224,f223,f228,f229,f230,f231,f233,f232,f167,f170,f171,f174,f175,f176,f177,f156,f166,f161,f196,f179,f162,f206,f157,f158,f178,f180,f181,f392,f396,f182,f421,f425,f183,f455,f459,f184,f505,f509,f511,f185,f533,f537,f539,f213,f146,f373,f407,f408,f147,f149,f150,f427,f461,f186,f702,f187,f729,f750,f752,f753,f754,f755,f756,f757,f761,f763,f764,f765,f197,f198,f751,f199,f225,f845,f846,f847,f848,f849,f850,f851,f852,f762,f226,f909,f910,f911,f912,f913,f914,f915,f916,f142,f794,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f144,f369,f1029,f1030,f1031,f1042,f1066,f1068,f1069,f1070,f1071,f1072,f1073,f1078,f1080,f1081,f1082,f188,f1092,f1093,f1094,f1103,f1106,f1107,f189,f1171,f1172,f1173,f1182,f1185,f1186,f344,f1067,f159,f1079,f169,f173,f130,f131,f191,f1542,f1544,f1545,f1546,f207,f208,f168,f172,f139,f355,f1900,f1901,f1902,f1903,f1904,f1905,f1906,f1907,f1908,f365,f1914,f1915,f1916,f1917,f1918,f1919,f140,f190,f1925,f1927,f1928,f1929,f222,f1969,f227,f1972,f1975,f1976,f1985,f1988,f1989,f1993,f2043,f2068]) ).
fof(f2025,plain,
( sz00 = sdtasdt0(sz00,smndt0(sK17))
| ~ spl32_142 ),
inference(avatar_component_clause,[],[f2023]) ).
fof(f2023,plain,
( spl32_142
<=> sz00 = sdtasdt0(sz00,smndt0(sK17)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_142])]) ).
fof(f2080,plain,
( spl32_19
| ~ spl32_21
| ~ spl32_23
| ~ spl32_141
| spl32_143 ),
inference(avatar_contradiction_clause,[],[f2079]) ).
fof(f2079,plain,
( $false
| spl32_19
| ~ spl32_21
| ~ spl32_23
| ~ spl32_141
| spl32_143 ),
inference(global_subsumption,[],[f2064,f133,f132,f145,f143,f141,f138,f137,f136,f135,f134,f148,f151,f165,f164,f163,f160,f155,f154,f153,f152,f195,f194,f193,f192,f203,f202,f201,f200,f205,f204,f212,f211,f210,f209,f221,f220,f219,f218,f217,f216,f215,f214,f224,f223,f228,f229,f230,f231,f233,f232,f167,f170,f171,f174,f175,f176,f177,f156,f166,f161,f196,f179,f162,f206,f157,f158,f178,f180,f181,f392,f396,f182,f421,f425,f183,f455,f459,f184,f505,f509,f511,f185,f533,f537,f539,f213,f146,f373,f407,f408,f147,f149,f150,f427,f461,f186,f702,f187,f729,f750,f752,f753,f754,f755,f756,f757,f761,f763,f764,f765,f197,f198,f751,f199,f225,f845,f846,f847,f848,f849,f850,f851,f852,f762,f226,f909,f910,f911,f912,f913,f914,f915,f916,f142,f794,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f144,f369,f1029,f1030,f1031,f1042,f1066,f1068,f1069,f1070,f1071,f1072,f1073,f1078,f1080,f1081,f1082,f188,f1092,f1093,f1094,f1103,f1106,f1107,f189,f1171,f1172,f1173,f1182,f1185,f1186,f344,f1067,f159,f1079,f169,f173,f130,f131,f191,f1542,f1544,f1545,f1546,f207,f208,f168,f172,f139,f355,f1900,f1901,f1902,f1903,f1904,f1905,f1906,f1907,f1908,f365,f1914,f1915,f1916,f1917,f1918,f1919,f140,f190,f1925,f1927,f1928,f1929,f222,f1969,f227,f1972,f1975,f1976,f1985,f1988,f1989,f1993,f2043,f2068]) ).
fof(f2064,plain,
( smndt0(sK18) != sdtasdt0(sK18,smndt0(sz10))
| spl32_143 ),
inference(avatar_component_clause,[],[f2063]) ).
fof(f2063,plain,
( spl32_143
<=> smndt0(sK18) = sdtasdt0(sK18,smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_143])]) ).
fof(f2078,plain,
( spl32_19
| ~ spl32_21
| ~ spl32_23
| ~ spl32_92
| ~ spl32_120
| ~ spl32_141 ),
inference(avatar_contradiction_clause,[],[f2077]) ).
fof(f2077,plain,
( $false
| spl32_19
| ~ spl32_21
| ~ spl32_23
| ~ spl32_92
| ~ spl32_120
| ~ spl32_141 ),
inference(global_subsumption,[],[f2056,f133,f132,f145,f143,f141,f138,f137,f136,f135,f134,f148,f151,f165,f164,f163,f160,f155,f154,f153,f152,f195,f194,f193,f192,f203,f202,f201,f200,f205,f204,f212,f211,f210,f209,f221,f220,f219,f218,f217,f216,f215,f214,f224,f223,f228,f229,f230,f231,f233,f232,f167,f170,f171,f174,f175,f176,f177,f156,f166,f161,f196,f179,f162,f206,f157,f158,f178,f180,f181,f392,f396,f182,f421,f425,f183,f455,f459,f184,f505,f509,f511,f185,f533,f537,f539,f213,f146,f373,f407,f408,f147,f149,f150,f427,f461,f186,f702,f187,f729,f750,f752,f753,f754,f755,f756,f757,f761,f763,f764,f765,f197,f198,f751,f199,f225,f845,f846,f847,f848,f849,f850,f851,f852,f762,f226,f909,f910,f911,f912,f913,f914,f915,f916,f142,f794,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f144,f369,f1029,f1030,f1031,f1042,f1066,f1068,f1069,f1070,f1071,f1072,f1073,f1078,f1080,f1081,f1082,f188,f1092,f1093,f1094,f1103,f1106,f1107,f189,f1171,f1172,f1173,f1182,f1185,f1186,f344,f1067,f159,f1079,f169,f173,f130,f131,f191,f1542,f1544,f1545,f1546,f207,f208,f168,f172,f139,f355,f1900,f1901,f1902,f1903,f1904,f1905,f1906,f1907,f1908,f365,f1914,f1915,f1916,f1917,f1918,f1919,f140,f190,f1925,f1927,f1928,f1929,f222,f1969,f227,f1972,f1975,f1976,f1985,f1988,f1989,f1993,f2043,f2068]) ).
fof(f2056,plain,
( ! [X0] :
( ~ sP4(X0,sK17)
| aElement0(smndt0(sK17))
| ~ aSet0(X0) )
| ~ spl32_92
| ~ spl32_120 ),
inference(resolution,[],[f1623,f178]) ).
fof(f1623,plain,
( ! [X33] :
( aElementOf0(smndt0(sK17),X33)
| ~ sP4(X33,sK17) )
| ~ spl32_92
| ~ spl32_120 ),
inference(subsumption_resolution,[],[f1580,f1498]) ).
fof(f1580,plain,
( ! [X33] :
( aElementOf0(smndt0(sK17),X33)
| ~ aElement0(smndt0(sz10))
| ~ sP4(X33,sK17) )
| ~ spl32_92 ),
inference(superposition,[],[f191,f1130]) ).
fof(f1130,plain,
( smndt0(sK17) = sdtasdt0(smndt0(sz10),sK17)
| ~ spl32_92 ),
inference(avatar_component_clause,[],[f1128]) ).
fof(f1128,plain,
( spl32_92
<=> smndt0(sK17) = sdtasdt0(smndt0(sz10),sK17) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_92])]) ).
fof(f2076,plain,
( spl32_19
| ~ spl32_21
| ~ spl32_23
| ~ spl32_95
| ~ spl32_141 ),
inference(avatar_contradiction_clause,[],[f2075]) ).
fof(f2075,plain,
( $false
| spl32_19
| ~ spl32_21
| ~ spl32_23
| ~ spl32_95
| ~ spl32_141 ),
inference(global_subsumption,[],[f1573,f133,f132,f145,f143,f141,f138,f137,f136,f135,f134,f148,f151,f165,f164,f163,f160,f155,f154,f153,f152,f195,f194,f193,f192,f203,f202,f201,f200,f205,f204,f212,f211,f210,f209,f221,f220,f219,f218,f217,f216,f215,f214,f224,f223,f228,f229,f230,f231,f233,f232,f167,f170,f171,f174,f175,f176,f177,f156,f166,f161,f196,f179,f162,f206,f157,f158,f178,f180,f181,f392,f396,f182,f421,f425,f183,f455,f459,f184,f505,f509,f511,f185,f533,f537,f539,f213,f146,f373,f407,f408,f147,f149,f150,f427,f461,f186,f702,f187,f729,f750,f752,f753,f754,f755,f756,f757,f761,f763,f764,f765,f197,f198,f751,f199,f225,f845,f846,f847,f848,f849,f850,f851,f852,f762,f226,f909,f910,f911,f912,f913,f914,f915,f916,f142,f794,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f144,f369,f1029,f1030,f1031,f1042,f1066,f1068,f1069,f1070,f1071,f1072,f1073,f1078,f1080,f1081,f1082,f188,f1092,f1093,f1094,f1103,f1106,f1107,f189,f1171,f1172,f1173,f1182,f1185,f1186,f344,f1067,f159,f1079,f169,f173,f130,f131,f191,f1542,f1544,f1545,f1546,f207,f208,f168,f172,f139,f355,f1900,f1901,f1902,f1903,f1904,f1905,f1906,f1907,f1908,f365,f1914,f1915,f1916,f1917,f1918,f1919,f140,f190,f1925,f1927,f1928,f1929,f222,f1969,f227,f1972,f1975,f1976,f1985,f1988,f1989,f1993,f2043,f2068]) ).
fof(f1573,plain,
( ! [X26] :
( aElementOf0(smndt0(sK17),X26)
| ~ aElement0(sK17)
| ~ sP4(X26,smndt0(sz10)) )
| ~ spl32_95 ),
inference(superposition,[],[f191,f1190]) ).
fof(f1190,plain,
( smndt0(sK17) = sdtasdt0(sK17,smndt0(sz10))
| ~ spl32_95 ),
inference(avatar_component_clause,[],[f1188]) ).
fof(f1188,plain,
( spl32_95
<=> smndt0(sK17) = sdtasdt0(sK17,smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_95])]) ).
fof(f2074,plain,
( spl32_19
| ~ spl32_21
| ~ spl32_23
| ~ spl32_31
| ~ spl32_141 ),
inference(avatar_contradiction_clause,[],[f2073]) ).
fof(f2073,plain,
( $false
| spl32_19
| ~ spl32_21
| ~ spl32_23
| ~ spl32_31
| ~ spl32_141 ),
inference(global_subsumption,[],[f1568,f133,f132,f145,f143,f141,f138,f137,f136,f135,f134,f148,f151,f165,f164,f163,f160,f155,f154,f153,f152,f195,f194,f193,f192,f203,f202,f201,f200,f205,f204,f212,f211,f210,f209,f221,f220,f219,f218,f217,f216,f215,f214,f224,f223,f228,f229,f230,f231,f233,f232,f167,f170,f171,f174,f175,f176,f177,f156,f166,f161,f196,f179,f162,f206,f157,f158,f178,f180,f181,f392,f396,f182,f421,f425,f183,f455,f459,f184,f505,f509,f511,f185,f533,f537,f539,f213,f146,f373,f407,f408,f147,f149,f150,f427,f461,f186,f702,f187,f729,f750,f752,f753,f754,f755,f756,f757,f761,f763,f764,f765,f197,f198,f751,f199,f225,f845,f846,f847,f848,f849,f850,f851,f852,f762,f226,f909,f910,f911,f912,f913,f914,f915,f916,f142,f794,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f144,f369,f1029,f1030,f1031,f1042,f1066,f1068,f1069,f1070,f1071,f1072,f1073,f1078,f1080,f1081,f1082,f188,f1092,f1093,f1094,f1103,f1106,f1107,f189,f1171,f1172,f1173,f1182,f1185,f1186,f344,f1067,f159,f1079,f169,f173,f130,f131,f191,f1542,f1544,f1545,f1546,f207,f208,f168,f172,f139,f355,f1900,f1901,f1902,f1903,f1904,f1905,f1906,f1907,f1908,f365,f1914,f1915,f1916,f1917,f1918,f1919,f140,f190,f1925,f1927,f1928,f1929,f222,f1969,f227,f1972,f1975,f1976,f1985,f1988,f1989,f1993,f2043,f2068]) ).
fof(f1568,plain,
( ! [X21] :
( aElementOf0(sK17,X21)
| ~ aElement0(sK17)
| ~ sP4(X21,sz10) )
| ~ spl32_31 ),
inference(superposition,[],[f191,f444]) ).
fof(f444,plain,
( sK17 = sdtasdt0(sK17,sz10)
| ~ spl32_31 ),
inference(avatar_component_clause,[],[f442]) ).
fof(f442,plain,
( spl32_31
<=> sK17 = sdtasdt0(sK17,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_31])]) ).
fof(f2072,plain,
( spl32_19
| ~ spl32_21
| ~ spl32_23
| ~ spl32_33
| ~ spl32_141 ),
inference(avatar_contradiction_clause,[],[f2071]) ).
fof(f2071,plain,
( $false
| spl32_19
| ~ spl32_21
| ~ spl32_23
| ~ spl32_33
| ~ spl32_141 ),
inference(global_subsumption,[],[f1569,f133,f132,f145,f143,f141,f138,f137,f136,f135,f134,f148,f151,f165,f164,f163,f160,f155,f154,f153,f152,f195,f194,f193,f192,f203,f202,f201,f200,f205,f204,f212,f211,f210,f209,f221,f220,f219,f218,f217,f216,f215,f214,f224,f223,f228,f229,f230,f231,f233,f232,f167,f170,f171,f174,f175,f176,f177,f156,f166,f161,f196,f179,f162,f206,f157,f158,f178,f180,f181,f392,f396,f182,f421,f425,f183,f455,f459,f184,f505,f509,f511,f185,f533,f537,f539,f213,f146,f373,f407,f408,f147,f149,f150,f427,f461,f186,f702,f187,f729,f750,f752,f753,f754,f755,f756,f757,f761,f763,f764,f765,f197,f198,f751,f199,f225,f845,f846,f847,f848,f849,f850,f851,f852,f762,f226,f909,f910,f911,f912,f913,f914,f915,f916,f142,f794,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f144,f369,f1029,f1030,f1031,f1042,f1066,f1068,f1069,f1070,f1071,f1072,f1073,f1078,f1080,f1081,f1082,f188,f1092,f1093,f1094,f1103,f1106,f1107,f189,f1171,f1172,f1173,f1182,f1185,f1186,f344,f1067,f159,f1079,f169,f173,f130,f131,f191,f1542,f1544,f1545,f1546,f207,f208,f168,f172,f139,f355,f1900,f1901,f1902,f1903,f1904,f1905,f1906,f1907,f1908,f365,f1914,f1915,f1916,f1917,f1918,f1919,f140,f190,f1925,f1927,f1928,f1929,f222,f1969,f227,f1972,f1975,f1976,f1985,f1988,f1989,f1993,f2043,f2068]) ).
fof(f1569,plain,
( ! [X22] :
( aElementOf0(sK18,X22)
| ~ aElement0(sK18)
| ~ sP4(X22,sz10) )
| ~ spl32_33 ),
inference(superposition,[],[f191,f470]) ).
fof(f470,plain,
( sK18 = sdtasdt0(sK18,sz10)
| ~ spl32_33 ),
inference(avatar_component_clause,[],[f468]) ).
fof(f468,plain,
( spl32_33
<=> sK18 = sdtasdt0(sK18,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_33])]) ).
fof(f2070,plain,
( spl32_19
| ~ spl32_21
| ~ spl32_23
| ~ spl32_141 ),
inference(avatar_contradiction_clause,[],[f2069]) ).
fof(f2069,plain,
( $false
| spl32_19
| ~ spl32_21
| ~ spl32_23
| ~ spl32_141 ),
inference(global_subsumption,[],[f133,f132,f145,f143,f141,f138,f137,f136,f135,f134,f148,f151,f165,f164,f163,f160,f155,f154,f153,f152,f195,f194,f193,f192,f203,f202,f201,f200,f205,f204,f212,f211,f210,f209,f221,f220,f219,f218,f217,f216,f215,f214,f224,f223,f228,f229,f230,f231,f233,f232,f167,f170,f171,f174,f175,f176,f177,f156,f166,f161,f196,f179,f162,f206,f157,f158,f178,f180,f181,f392,f396,f182,f421,f425,f183,f455,f459,f184,f505,f509,f511,f185,f533,f537,f539,f213,f146,f373,f407,f408,f147,f149,f150,f427,f461,f186,f702,f187,f729,f750,f752,f753,f754,f755,f756,f757,f761,f763,f764,f765,f197,f198,f751,f199,f225,f845,f846,f847,f848,f849,f850,f851,f852,f762,f226,f909,f910,f911,f912,f913,f914,f915,f916,f142,f794,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f144,f369,f1029,f1030,f1031,f1042,f1066,f1068,f1069,f1070,f1071,f1072,f1073,f1078,f1080,f1081,f1082,f188,f1092,f1093,f1094,f1103,f1106,f1107,f189,f1171,f1172,f1173,f1182,f1185,f1186,f344,f1067,f159,f1079,f169,f173,f130,f131,f191,f1542,f1544,f1545,f1546,f207,f208,f168,f172,f139,f355,f1900,f1901,f1902,f1903,f1904,f1905,f1906,f1907,f1908,f365,f1914,f1915,f1916,f1917,f1918,f1919,f140,f190,f1925,f1927,f1928,f1929,f222,f1969,f227,f1972,f1975,f1976,f1985,f1988,f1989,f1993,f2043,f2068]) ).
fof(f2066,plain,
( spl32_143
| ~ spl32_19 ),
inference(avatar_split_clause,[],[f1890,f343,f2063]) ).
fof(f1890,plain,
( smndt0(sK18) = sdtasdt0(sK18,smndt0(sz10))
| ~ spl32_19 ),
inference(resolution,[],[f345,f189]) ).
fof(f2028,plain,
( ~ spl32_12
| spl32_139 ),
inference(avatar_contradiction_clause,[],[f2027]) ).
fof(f2027,plain,
( $false
| ~ spl32_12
| spl32_139 ),
inference(subsumption_resolution,[],[f1920,f293]) ).
fof(f1920,plain,
( ~ aElement0(sK17)
| spl32_139 ),
inference(resolution,[],[f1865,f179]) ).
fof(f1865,plain,
( ~ aElement0(smndt0(sK17))
| spl32_139 ),
inference(avatar_component_clause,[],[f1864]) ).
fof(f2026,plain,
( spl32_142
| ~ spl32_139 ),
inference(avatar_split_clause,[],[f2010,f1864,f2023]) ).
fof(f2010,plain,
( sz00 = sdtasdt0(sz00,smndt0(sK17))
| ~ spl32_139 ),
inference(resolution,[],[f1866,f181]) ).
fof(f1994,plain,
( spl32_141
| ~ spl32_11 ),
inference(avatar_split_clause,[],[f1894,f287,f1991]) ).
fof(f1894,plain,
( sK18 = sdtpldt0(sK19(sK18),sK20(sK18))
| ~ spl32_11 ),
inference(resolution,[],[f289,f159]) ).
fof(f1923,plain,
( spl32_16
| ~ spl32_11 ),
inference(avatar_split_clause,[],[f308,f287,f315]) ).
fof(f1921,plain,
( spl32_14
| ~ spl32_11 ),
inference(avatar_split_clause,[],[f296,f287,f303]) ).
fof(f1893,plain,
( spl32_23
| ~ spl32_3
| ~ spl32_16 ),
inference(avatar_split_clause,[],[f336,f315,f245,f363]) ).
fof(f1892,plain,
( spl32_21
| ~ spl32_1
| ~ spl32_14 ),
inference(avatar_split_clause,[],[f334,f303,f235,f353]) ).
fof(f1880,plain,
( spl32_19
| ~ spl32_8
| ~ spl32_11 ),
inference(avatar_split_clause,[],[f332,f287,f270,f343]) ).
fof(f1870,plain,
( spl32_139
| spl32_140
| ~ spl32_92
| ~ spl32_120 ),
inference(avatar_split_clause,[],[f1657,f1497,f1128,f1868,f1864]) ).
fof(f1868,plain,
( spl32_140
<=> ! [X0] :
( ~ sP4(X0,sK17)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_140])]) ).
fof(f1657,plain,
( ! [X0] :
( ~ sP4(X0,sK17)
| aElement0(smndt0(sK17))
| ~ aSet0(X0) )
| ~ spl32_92
| ~ spl32_120 ),
inference(resolution,[],[f1623,f178]) ).
fof(f1844,plain,
( ~ spl32_137
| spl32_138
| ~ spl32_15
| ~ spl32_101 ),
inference(avatar_split_clause,[],[f1835,f1252,f310,f1841,f1837]) ).
fof(f1837,plain,
( spl32_137
<=> aElementOf0(sK19(sK16),xJ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_137])]) ).
fof(f1841,plain,
( spl32_138
<=> aElementOf0(sK16,xJ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_138])]) ).
fof(f1835,plain,
( aElementOf0(sK16,xJ)
| ~ aElementOf0(sK19(sK16),xJ)
| ~ spl32_15
| ~ spl32_101 ),
inference(subsumption_resolution,[],[f1832,f312]) ).
fof(f1832,plain,
( aElementOf0(sK16,xJ)
| ~ aElementOf0(sK20(sK16),xJ)
| ~ aElementOf0(sK19(sK16),xJ)
| ~ spl32_101 ),
inference(superposition,[],[f172,f1254]) ).
fof(f1799,plain,
( ~ spl32_136
| spl32_118
| ~ spl32_120
| ~ spl32_127 ),
inference(avatar_split_clause,[],[f1794,f1692,f1497,f1486,f1796]) ).
fof(f1796,plain,
( spl32_136
<=> sP4(xJ,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_136])]) ).
fof(f1486,plain,
( spl32_118
<=> aElementOf0(smndt0(sz10),xJ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_118])]) ).
fof(f1692,plain,
( spl32_127
<=> smndt0(sz10) = sdtasdt0(smndt0(sz10),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_127])]) ).
fof(f1794,plain,
( ~ sP4(xJ,sz10)
| spl32_118
| ~ spl32_120
| ~ spl32_127 ),
inference(resolution,[],[f1720,f1488]) ).
fof(f1488,plain,
( ~ aElementOf0(smndt0(sz10),xJ)
| spl32_118 ),
inference(avatar_component_clause,[],[f1486]) ).
fof(f1720,plain,
( ! [X0] :
( aElementOf0(smndt0(sz10),X0)
| ~ sP4(X0,sz10) )
| ~ spl32_120
| ~ spl32_127 ),
inference(subsumption_resolution,[],[f1716,f1498]) ).
fof(f1716,plain,
( ! [X0] :
( aElementOf0(smndt0(sz10),X0)
| ~ aElement0(smndt0(sz10))
| ~ sP4(X0,sz10) )
| ~ spl32_127 ),
inference(superposition,[],[f191,f1694]) ).
fof(f1694,plain,
( smndt0(sz10) = sdtasdt0(smndt0(sz10),sz10)
| ~ spl32_127 ),
inference(avatar_component_clause,[],[f1692]) ).
fof(f1787,plain,
( spl32_135
| ~ spl32_122 ),
inference(avatar_split_clause,[],[f1527,f1522,f1784]) ).
fof(f1784,plain,
( spl32_135
<=> sz00 = sdtasdt0(sz00,smndt0(sK19(sK16))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_135])]) ).
fof(f1527,plain,
( sz00 = sdtasdt0(sz00,smndt0(sK19(sK16)))
| ~ spl32_122 ),
inference(resolution,[],[f1524,f181]) ).
fof(f1777,plain,
( ~ spl32_134
| ~ spl32_22
| ~ spl32_57
| spl32_132 ),
inference(avatar_split_clause,[],[f1772,f1764,f666,f358,f1774]) ).
fof(f1774,plain,
( spl32_134
<=> sP4(xI,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_134])]) ).
fof(f666,plain,
( spl32_57
<=> sK20(sK16) = sdtasdt0(sK20(sK16),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_57])]) ).
fof(f1764,plain,
( spl32_132
<=> aElementOf0(sK20(sK16),xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_132])]) ).
fof(f1772,plain,
( ~ sP4(xI,sz10)
| ~ spl32_22
| ~ spl32_57
| spl32_132 ),
inference(resolution,[],[f1766,f1615]) ).
fof(f1615,plain,
( ! [X24] :
( aElementOf0(sK20(sK16),X24)
| ~ sP4(X24,sz10) )
| ~ spl32_22
| ~ spl32_57 ),
inference(subsumption_resolution,[],[f1571,f360]) ).
fof(f1571,plain,
( ! [X24] :
( aElementOf0(sK20(sK16),X24)
| ~ aElement0(sK20(sK16))
| ~ sP4(X24,sz10) )
| ~ spl32_57 ),
inference(superposition,[],[f191,f668]) ).
fof(f668,plain,
( sK20(sK16) = sdtasdt0(sK20(sK16),sz10)
| ~ spl32_57 ),
inference(avatar_component_clause,[],[f666]) ).
fof(f1766,plain,
( ~ aElementOf0(sK20(sK16),xI)
| spl32_132 ),
inference(avatar_component_clause,[],[f1764]) ).
fof(f1771,plain,
( ~ spl32_132
| spl32_133
| ~ spl32_13
| ~ spl32_101 ),
inference(avatar_split_clause,[],[f1762,f1252,f298,f1768,f1764]) ).
fof(f1768,plain,
( spl32_133
<=> aElementOf0(sK16,xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_133])]) ).
fof(f1762,plain,
( aElementOf0(sK16,xI)
| ~ aElementOf0(sK20(sK16),xI)
| ~ spl32_13
| ~ spl32_101 ),
inference(subsumption_resolution,[],[f1759,f300]) ).
fof(f1759,plain,
( aElementOf0(sK16,xI)
| ~ aElementOf0(sK20(sK16),xI)
| ~ aElementOf0(sK19(sK16),xI)
| ~ spl32_101 ),
inference(superposition,[],[f168,f1254]) ).
fof(f1715,plain,
( spl32_131
| ~ spl32_120 ),
inference(avatar_split_clause,[],[f1518,f1497,f1712]) ).
fof(f1712,plain,
( spl32_131
<=> sz00 = sdtasdt0(smndt0(smndt0(sz10)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_131])]) ).
fof(f1710,plain,
( spl32_130
| ~ spl32_120 ),
inference(avatar_split_clause,[],[f1513,f1497,f1707]) ).
fof(f1707,plain,
( spl32_130
<=> smndt0(sz10) = sdtpldt0(sz00,smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_130])]) ).
fof(f1705,plain,
( spl32_129
| ~ spl32_120 ),
inference(avatar_split_clause,[],[f1512,f1497,f1702]) ).
fof(f1702,plain,
( spl32_129
<=> smndt0(sz10) = sdtpldt0(smndt0(sz10),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_129])]) ).
fof(f1700,plain,
( spl32_128
| ~ spl32_120 ),
inference(avatar_split_clause,[],[f1511,f1497,f1697]) ).
fof(f1697,plain,
( spl32_128
<=> smndt0(sz10) = sdtasdt0(sz10,smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_128])]) ).
fof(f1695,plain,
( spl32_127
| ~ spl32_120 ),
inference(avatar_split_clause,[],[f1510,f1497,f1692]) ).
fof(f1672,plain,
( ~ spl32_126
| ~ spl32_92
| spl32_119
| ~ spl32_120 ),
inference(avatar_split_clause,[],[f1662,f1497,f1490,f1128,f1669]) ).
fof(f1669,plain,
( spl32_126
<=> sP4(xJ,sK17) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_126])]) ).
fof(f1490,plain,
( spl32_119
<=> aElementOf0(smndt0(sK17),xJ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_119])]) ).
fof(f1662,plain,
( ~ sP4(xJ,sK17)
| ~ spl32_92
| spl32_119
| ~ spl32_120 ),
inference(resolution,[],[f1623,f1491]) ).
fof(f1491,plain,
( ~ aElementOf0(smndt0(sK17),xJ)
| spl32_119 ),
inference(avatar_component_clause,[],[f1490]) ).
fof(f1667,plain,
( ~ spl32_125
| ~ spl32_92
| spl32_117
| ~ spl32_120 ),
inference(avatar_split_clause,[],[f1661,f1497,f1481,f1128,f1664]) ).
fof(f1664,plain,
( spl32_125
<=> sP4(xI,sK17) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_125])]) ).
fof(f1481,plain,
( spl32_117
<=> aElementOf0(smndt0(sK17),xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_117])]) ).
fof(f1661,plain,
( ~ sP4(xI,sK17)
| ~ spl32_92
| spl32_117
| ~ spl32_120 ),
inference(resolution,[],[f1623,f1482]) ).
fof(f1482,plain,
( ~ aElementOf0(smndt0(sK17),xI)
| spl32_117 ),
inference(avatar_component_clause,[],[f1481]) ).
fof(f1641,plain,
( ~ spl32_124
| ~ spl32_12
| spl32_104 ),
inference(avatar_split_clause,[],[f1594,f1271,f291,f1638]) ).
fof(f1638,plain,
( spl32_124
<=> sP4(sdtpldt1(xI,xJ),sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_124])]) ).
fof(f1594,plain,
( ~ sP4(sdtpldt1(xI,xJ),sK16)
| ~ spl32_12
| spl32_104 ),
inference(subsumption_resolution,[],[f1543,f293]) ).
fof(f1543,plain,
( ~ aElement0(sK17)
| ~ sP4(sdtpldt1(xI,xJ),sK16)
| spl32_104 ),
inference(resolution,[],[f191,f1273]) ).
fof(f1541,plain,
( spl32_123
| ~ spl32_120 ),
inference(avatar_split_clause,[],[f1509,f1497,f1538]) ).
fof(f1538,plain,
( spl32_123
<=> sz00 = sdtasdt0(sz00,smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_123])]) ).
fof(f1525,plain,
( spl32_122
| ~ spl32_1
| ~ spl32_121 ),
inference(avatar_split_clause,[],[f1520,f1501,f235,f1522]) ).
fof(f1520,plain,
( aElement0(smndt0(sK19(sK16)))
| ~ spl32_1
| ~ spl32_121 ),
inference(subsumption_resolution,[],[f1519,f237]) ).
fof(f1519,plain,
( aElement0(smndt0(sK19(sK16)))
| ~ aSet0(xI)
| ~ spl32_121 ),
inference(resolution,[],[f1503,f178]) ).
fof(f1507,plain,
( ~ spl32_5
| spl32_120 ),
inference(avatar_contradiction_clause,[],[f1506]) ).
fof(f1506,plain,
( $false
| ~ spl32_5
| spl32_120 ),
inference(subsumption_resolution,[],[f1505,f257]) ).
fof(f1505,plain,
( ~ aElement0(sz10)
| spl32_120 ),
inference(resolution,[],[f1499,f179]) ).
fof(f1499,plain,
( ~ aElement0(smndt0(sz10))
| spl32_120 ),
inference(avatar_component_clause,[],[f1497]) ).
fof(f1504,plain,
( ~ spl32_120
| spl32_121
| ~ spl32_13
| ~ spl32_106 ),
inference(avatar_split_clause,[],[f1364,f1283,f298,f1501,f1497]) ).
fof(f1283,plain,
( spl32_106
<=> smndt0(sK19(sK16)) = sdtasdt0(smndt0(sz10),sK19(sK16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_106])]) ).
fof(f1364,plain,
( aElementOf0(smndt0(sK19(sK16)),xI)
| ~ aElement0(smndt0(sz10))
| ~ spl32_13
| ~ spl32_106 ),
inference(subsumption_resolution,[],[f1343,f300]) ).
fof(f1343,plain,
( aElementOf0(smndt0(sK19(sK16)),xI)
| ~ aElement0(smndt0(sz10))
| ~ aElementOf0(sK19(sK16),xI)
| ~ spl32_106 ),
inference(superposition,[],[f169,f1285]) ).
fof(f1285,plain,
( smndt0(sK19(sK16)) = sdtasdt0(smndt0(sz10),sK19(sK16))
| ~ spl32_106 ),
inference(avatar_component_clause,[],[f1283]) ).
fof(f1493,plain,
( ~ spl32_118
| spl32_119
| ~ spl32_12
| ~ spl32_95 ),
inference(avatar_split_clause,[],[f1445,f1188,f291,f1490,f1486]) ).
fof(f1445,plain,
( aElementOf0(smndt0(sK17),xJ)
| ~ aElementOf0(smndt0(sz10),xJ)
| ~ spl32_12
| ~ spl32_95 ),
inference(subsumption_resolution,[],[f1419,f293]) ).
fof(f1419,plain,
( aElementOf0(smndt0(sK17),xJ)
| ~ aElement0(sK17)
| ~ aElementOf0(smndt0(sz10),xJ)
| ~ spl32_95 ),
inference(superposition,[],[f173,f1190]) ).
fof(f1484,plain,
( ~ spl32_116
| spl32_117
| ~ spl32_12
| ~ spl32_95 ),
inference(avatar_split_clause,[],[f1357,f1188,f291,f1481,f1477]) ).
fof(f1477,plain,
( spl32_116
<=> aElementOf0(smndt0(sz10),xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_116])]) ).
fof(f1357,plain,
( aElementOf0(smndt0(sK17),xI)
| ~ aElementOf0(smndt0(sz10),xI)
| ~ spl32_12
| ~ spl32_95 ),
inference(subsumption_resolution,[],[f1331,f293]) ).
fof(f1331,plain,
( aElementOf0(smndt0(sK17),xI)
| ~ aElement0(sK17)
| ~ aElementOf0(smndt0(sz10),xI)
| ~ spl32_95 ),
inference(superposition,[],[f169,f1190]) ).
fof(f1473,plain,
( ~ spl32_114
| spl32_115
| ~ spl32_12
| ~ spl32_31 ),
inference(avatar_split_clause,[],[f1443,f442,f291,f1470,f1466]) ).
fof(f1466,plain,
( spl32_114
<=> aElementOf0(sz10,xJ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_114])]) ).
fof(f1470,plain,
( spl32_115
<=> aElementOf0(sK17,xJ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_115])]) ).
fof(f1443,plain,
( aElementOf0(sK17,xJ)
| ~ aElementOf0(sz10,xJ)
| ~ spl32_12
| ~ spl32_31 ),
inference(subsumption_resolution,[],[f1414,f293]) ).
fof(f1414,plain,
( aElementOf0(sK17,xJ)
| ~ aElement0(sK17)
| ~ aElementOf0(sz10,xJ)
| ~ spl32_31 ),
inference(superposition,[],[f173,f444]) ).
fof(f1463,plain,
( spl32_113
| ~ spl32_6
| ~ spl32_72
| ~ spl32_86 ),
inference(avatar_split_clause,[],[f1456,f969,f805,f260,f1459]) ).
fof(f969,plain,
( spl32_86
<=> sz00 = sdtasdt0(sz00,sK20(sK23(sdtpldt1(xI,xJ)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_86])]) ).
fof(f1456,plain,
( aElementOf0(sz00,xJ)
| ~ spl32_6
| ~ spl32_72
| ~ spl32_86 ),
inference(subsumption_resolution,[],[f1455,f807]) ).
fof(f1455,plain,
( aElementOf0(sz00,xJ)
| ~ aElementOf0(sK20(sK23(sdtpldt1(xI,xJ))),xJ)
| ~ spl32_6
| ~ spl32_86 ),
inference(subsumption_resolution,[],[f1436,f262]) ).
fof(f1436,plain,
( aElementOf0(sz00,xJ)
| ~ aElement0(sz00)
| ~ aElementOf0(sK20(sK23(sdtpldt1(xI,xJ))),xJ)
| ~ spl32_86 ),
inference(superposition,[],[f173,f971]) ).
fof(f971,plain,
( sz00 = sdtasdt0(sz00,sK20(sK23(sdtpldt1(xI,xJ))))
| ~ spl32_86 ),
inference(avatar_component_clause,[],[f969]) ).
fof(f1462,plain,
( spl32_113
| ~ spl32_6
| ~ spl32_15
| ~ spl32_46 ),
inference(avatar_split_clause,[],[f1454,f600,f310,f260,f1459]) ).
fof(f600,plain,
( spl32_46
<=> sz00 = sdtasdt0(sz00,sK20(sK16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_46])]) ).
fof(f1454,plain,
( aElementOf0(sz00,xJ)
| ~ spl32_6
| ~ spl32_15
| ~ spl32_46 ),
inference(subsumption_resolution,[],[f1453,f312]) ).
fof(f1453,plain,
( aElementOf0(sz00,xJ)
| ~ aElementOf0(sK20(sK16),xJ)
| ~ spl32_6
| ~ spl32_46 ),
inference(subsumption_resolution,[],[f1434,f262]) ).
fof(f1434,plain,
( aElementOf0(sz00,xJ)
| ~ aElement0(sz00)
| ~ aElementOf0(sK20(sK16),xJ)
| ~ spl32_46 ),
inference(superposition,[],[f173,f602]) ).
fof(f602,plain,
( sz00 = sdtasdt0(sz00,sK20(sK16))
| ~ spl32_46 ),
inference(avatar_component_clause,[],[f600]) ).
fof(f1391,plain,
( ~ spl32_111
| spl32_112
| ~ spl32_12
| ~ spl32_31 ),
inference(avatar_split_clause,[],[f1355,f442,f291,f1388,f1384]) ).
fof(f1384,plain,
( spl32_111
<=> aElementOf0(sz10,xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_111])]) ).
fof(f1388,plain,
( spl32_112
<=> aElementOf0(sK17,xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_112])]) ).
fof(f1355,plain,
( aElementOf0(sK17,xI)
| ~ aElementOf0(sz10,xI)
| ~ spl32_12
| ~ spl32_31 ),
inference(subsumption_resolution,[],[f1326,f293]) ).
fof(f1326,plain,
( aElementOf0(sK17,xI)
| ~ aElement0(sK17)
| ~ aElementOf0(sz10,xI)
| ~ spl32_31 ),
inference(superposition,[],[f169,f444]) ).
fof(f1381,plain,
( spl32_110
| ~ spl32_6
| ~ spl32_13
| ~ spl32_45
| ~ spl32_86 ),
inference(avatar_split_clause,[],[f1372,f969,f595,f298,f260,f1374]) ).
fof(f595,plain,
( spl32_45
<=> sz00 = sdtasdt0(sz00,sK19(sK16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_45])]) ).
fof(f1372,plain,
( aElementOf0(sz00,xI)
| ~ spl32_6
| ~ spl32_13
| ~ spl32_45
| ~ spl32_86 ),
inference(global_subsumption,[],[f1371,f133,f132,f131,f130,f145,f143,f141,f140,f139,f138,f137,f136,f135,f134,f148,f151,f165,f164,f163,f160,f155,f154,f153,f152,f173,f172,f168,f195,f194,f193,f192,f191,f190,f203,f202,f201,f200,f205,f204,f212,f211,f210,f209,f208,f207,f221,f220,f219,f218,f217,f216,f215,f214,f224,f223,f222,f227,f228,f229,f230,f231,f233,f232,f167,f170,f171,f174,f175,f176,f262,f177,f156,f166,f161,f196,f179,f162,f206,f157,f300,f158,f178,f180,f181,f392,f182,f421,f183,f455,f184,f505,f185,f533,f213,f146,f147,f597,f367,f390,f419,f453,f149,f503,f531,f150,f186,f702,f187,f729,f197,f198,f199,f225,f845,f846,f847,f848,f849,f850,f851,f852,f700,f727,f226,f909,f910,f911,f912,f913,f914,f915,f916,f142,f794,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f144,f369,f1029,f1030,f1031,f1042,f188,f1090,f1092,f1093,f1094,f1107,f189,f1169,f1171,f1172,f1173,f1186,f159,f1027,f169,f1363]) ).
fof(f1363,plain,
( aElementOf0(sz00,xI)
| ~ spl32_6
| ~ spl32_13
| ~ spl32_45 ),
inference(subsumption_resolution,[],[f1362,f300]) ).
fof(f1362,plain,
( aElementOf0(sz00,xI)
| ~ aElementOf0(sK19(sK16),xI)
| ~ spl32_6
| ~ spl32_45 ),
inference(subsumption_resolution,[],[f1341,f262]) ).
fof(f1341,plain,
( aElementOf0(sz00,xI)
| ~ aElement0(sz00)
| ~ aElementOf0(sK19(sK16),xI)
| ~ spl32_45 ),
inference(superposition,[],[f169,f597]) ).
fof(f1027,plain,
( sz00 = sdtasdt0(smndt0(sz00),sz00)
| ~ spl32_6 ),
inference(resolution,[],[f369,f262]) ).
fof(f1169,plain,
( smndt0(sz00) = sdtasdt0(sz00,smndt0(sz10))
| ~ spl32_6 ),
inference(resolution,[],[f189,f262]) ).
fof(f727,plain,
( sz00 = sdtpldt0(smndt0(sz00),sz00)
| ~ spl32_6 ),
inference(resolution,[],[f187,f262]) ).
fof(f700,plain,
( sz00 = sdtpldt0(sz00,smndt0(sz00))
| ~ spl32_6 ),
inference(resolution,[],[f186,f262]) ).
fof(f531,plain,
( sz00 = sdtpldt0(sz00,sz00)
| ~ spl32_6 ),
inference(resolution,[],[f185,f262]) ).
fof(f503,plain,
( sz00 = sdtpldt0(sz00,sz00)
| ~ spl32_6 ),
inference(resolution,[],[f184,f262]) ).
fof(f453,plain,
( sz00 = sdtasdt0(sz10,sz00)
| ~ spl32_6 ),
inference(resolution,[],[f183,f262]) ).
fof(f419,plain,
( sz00 = sdtasdt0(sz00,sz10)
| ~ spl32_6 ),
inference(resolution,[],[f182,f262]) ).
fof(f390,plain,
( sz00 = sdtasdt0(sz00,sz00)
| ~ spl32_6 ),
inference(resolution,[],[f181,f262]) ).
fof(f367,plain,
( sz00 = sdtasdt0(sz00,sz00)
| ~ spl32_6 ),
inference(resolution,[],[f180,f262]) ).
fof(f597,plain,
( sz00 = sdtasdt0(sz00,sK19(sK16))
| ~ spl32_45 ),
inference(avatar_component_clause,[],[f595]) ).
fof(f1371,plain,
( aElementOf0(sz00,xI)
| ~ aElementOf0(sK20(sK23(sdtpldt1(xI,xJ))),xI)
| ~ spl32_6
| ~ spl32_86 ),
inference(subsumption_resolution,[],[f1348,f262]) ).
fof(f1348,plain,
( aElementOf0(sz00,xI)
| ~ aElement0(sz00)
| ~ aElementOf0(sK20(sK23(sdtpldt1(xI,xJ))),xI)
| ~ spl32_86 ),
inference(superposition,[],[f169,f971]) ).
fof(f1380,plain,
( spl32_110
| ~ spl32_6
| ~ spl32_13
| ~ spl32_45
| ~ spl32_47 ),
inference(avatar_split_clause,[],[f1370,f605,f595,f298,f260,f1374]) ).
fof(f605,plain,
( spl32_47
<=> sz00 = sdtasdt0(sz00,sK20(sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_47])]) ).
fof(f1370,plain,
( aElementOf0(sz00,xI)
| ~ spl32_6
| ~ spl32_13
| ~ spl32_45
| ~ spl32_47 ),
inference(global_subsumption,[],[f1369,f133,f132,f131,f130,f145,f143,f141,f140,f139,f138,f137,f136,f135,f134,f148,f151,f165,f164,f163,f160,f155,f154,f153,f152,f173,f172,f168,f195,f194,f193,f192,f191,f190,f203,f202,f201,f200,f205,f204,f212,f211,f210,f209,f208,f207,f221,f220,f219,f218,f217,f216,f215,f214,f224,f223,f222,f227,f228,f229,f230,f231,f233,f232,f167,f170,f171,f174,f175,f176,f262,f177,f156,f166,f161,f196,f179,f162,f206,f157,f300,f158,f178,f180,f181,f392,f182,f421,f183,f455,f184,f505,f185,f533,f213,f146,f147,f597,f367,f390,f419,f453,f149,f503,f531,f150,f186,f702,f187,f729,f197,f198,f199,f225,f845,f846,f847,f848,f849,f850,f851,f852,f700,f727,f226,f909,f910,f911,f912,f913,f914,f915,f916,f142,f794,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f144,f369,f1029,f1030,f1031,f1042,f188,f1090,f1092,f1093,f1094,f1107,f189,f1169,f1171,f1172,f1173,f1186,f159,f1027,f169,f1363]) ).
fof(f1369,plain,
( aElementOf0(sz00,xI)
| ~ aElementOf0(sK20(sK18),xI)
| ~ spl32_6
| ~ spl32_47 ),
inference(subsumption_resolution,[],[f1347,f262]) ).
fof(f1347,plain,
( aElementOf0(sz00,xI)
| ~ aElement0(sz00)
| ~ aElementOf0(sK20(sK18),xI)
| ~ spl32_47 ),
inference(superposition,[],[f169,f607]) ).
fof(f607,plain,
( sz00 = sdtasdt0(sz00,sK20(sK18))
| ~ spl32_47 ),
inference(avatar_component_clause,[],[f605]) ).
fof(f1379,plain,
( spl32_110
| ~ spl32_6
| ~ spl32_13
| ~ spl32_45
| ~ spl32_46 ),
inference(avatar_split_clause,[],[f1368,f600,f595,f298,f260,f1374]) ).
fof(f1368,plain,
( aElementOf0(sz00,xI)
| ~ spl32_6
| ~ spl32_13
| ~ spl32_45
| ~ spl32_46 ),
inference(global_subsumption,[],[f1367,f133,f132,f131,f130,f145,f143,f141,f140,f139,f138,f137,f136,f135,f134,f148,f151,f165,f164,f163,f160,f155,f154,f153,f152,f173,f172,f168,f195,f194,f193,f192,f191,f190,f203,f202,f201,f200,f205,f204,f212,f211,f210,f209,f208,f207,f221,f220,f219,f218,f217,f216,f215,f214,f224,f223,f222,f227,f228,f229,f230,f231,f233,f232,f167,f170,f171,f174,f175,f176,f262,f177,f156,f166,f161,f196,f179,f162,f206,f157,f300,f158,f178,f180,f181,f392,f182,f421,f183,f455,f184,f505,f185,f533,f213,f146,f147,f597,f367,f390,f419,f453,f149,f503,f531,f150,f186,f702,f187,f729,f197,f198,f199,f225,f845,f846,f847,f848,f849,f850,f851,f852,f700,f727,f226,f909,f910,f911,f912,f913,f914,f915,f916,f142,f794,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f144,f369,f1029,f1030,f1031,f1042,f188,f1090,f1092,f1093,f1094,f1107,f189,f1169,f1171,f1172,f1173,f1186,f159,f1027,f169,f1363]) ).
fof(f1367,plain,
( aElementOf0(sz00,xI)
| ~ aElementOf0(sK20(sK16),xI)
| ~ spl32_6
| ~ spl32_46 ),
inference(subsumption_resolution,[],[f1346,f262]) ).
fof(f1346,plain,
( aElementOf0(sz00,xI)
| ~ aElement0(sz00)
| ~ aElementOf0(sK20(sK16),xI)
| ~ spl32_46 ),
inference(superposition,[],[f169,f602]) ).
fof(f1378,plain,
( spl32_110
| ~ spl32_6
| ~ spl32_73
| ~ spl32_88 ),
inference(avatar_split_clause,[],[f1366,f979,f810,f260,f1374]) ).
fof(f979,plain,
( spl32_88
<=> sz00 = sdtasdt0(sz00,sK19(sK23(sdtpldt1(xI,xJ)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_88])]) ).
fof(f1366,plain,
( aElementOf0(sz00,xI)
| ~ spl32_6
| ~ spl32_73
| ~ spl32_88 ),
inference(subsumption_resolution,[],[f1365,f812]) ).
fof(f1365,plain,
( aElementOf0(sz00,xI)
| ~ aElementOf0(sK19(sK23(sdtpldt1(xI,xJ))),xI)
| ~ spl32_6
| ~ spl32_88 ),
inference(subsumption_resolution,[],[f1344,f262]) ).
fof(f1344,plain,
( aElementOf0(sz00,xI)
| ~ aElement0(sz00)
| ~ aElementOf0(sK19(sK23(sdtpldt1(xI,xJ))),xI)
| ~ spl32_88 ),
inference(superposition,[],[f169,f981]) ).
fof(f981,plain,
( sz00 = sdtasdt0(sz00,sK19(sK23(sdtpldt1(xI,xJ))))
| ~ spl32_88 ),
inference(avatar_component_clause,[],[f979]) ).
fof(f1377,plain,
( spl32_110
| ~ spl32_6
| ~ spl32_13
| ~ spl32_45 ),
inference(avatar_split_clause,[],[f1363,f595,f298,f260,f1374]) ).
fof(f1301,plain,
( spl32_109
| ~ spl32_22 ),
inference(avatar_split_clause,[],[f1183,f358,f1298]) ).
fof(f1298,plain,
( spl32_109
<=> smndt0(sK20(sK16)) = sdtasdt0(sK20(sK16),smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_109])]) ).
fof(f1183,plain,
( smndt0(sK20(sK16)) = sdtasdt0(sK20(sK16),smndt0(sz10))
| ~ spl32_22 ),
inference(resolution,[],[f189,f360]) ).
fof(f1296,plain,
( spl32_108
| ~ spl32_20 ),
inference(avatar_split_clause,[],[f1180,f348,f1293]) ).
fof(f1293,plain,
( spl32_108
<=> smndt0(sK19(sK16)) = sdtasdt0(sK19(sK16),smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_108])]) ).
fof(f1180,plain,
( smndt0(sK19(sK16)) = sdtasdt0(sK19(sK16),smndt0(sz10))
| ~ spl32_20 ),
inference(resolution,[],[f189,f350]) ).
fof(f1291,plain,
( spl32_107
| ~ spl32_22 ),
inference(avatar_split_clause,[],[f1104,f358,f1288]) ).
fof(f1104,plain,
( smndt0(sK20(sK16)) = sdtasdt0(smndt0(sz10),sK20(sK16))
| ~ spl32_22 ),
inference(resolution,[],[f188,f360]) ).
fof(f1286,plain,
( spl32_106
| ~ spl32_20 ),
inference(avatar_split_clause,[],[f1101,f348,f1283]) ).
fof(f1101,plain,
( smndt0(sK19(sK16)) = sdtasdt0(smndt0(sz10),sK19(sK16))
| ~ spl32_20 ),
inference(resolution,[],[f188,f350]) ).
fof(f1279,plain,
( spl32_105
| ~ spl32_5 ),
inference(avatar_split_clause,[],[f1028,f255,f1276]) ).
fof(f1274,plain,
( ~ spl32_104
| spl32_11 ),
inference(avatar_split_clause,[],[f1269,f287,f1271]) ).
fof(f1269,plain,
( ~ aElementOf0(sdtasdt0(sK17,sK16),sdtpldt1(xI,xJ))
| spl32_11 ),
inference(subsumption_resolution,[],[f164,f288]) ).
fof(f1268,plain,
( spl32_103
| ~ spl32_6 ),
inference(avatar_split_clause,[],[f1027,f260,f1265]) ).
fof(f1265,plain,
( spl32_103
<=> sz00 = sdtasdt0(smndt0(sz00),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_103])]) ).
fof(f1261,plain,
( spl32_102
| ~ spl32_23 ),
inference(avatar_split_clause,[],[f1079,f363,f1258]) ).
fof(f1258,plain,
( spl32_102
<=> sK20(sK18) = sdtpldt0(sz00,sK20(sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_102])]) ).
fof(f1255,plain,
( spl32_101
| ~ spl32_10 ),
inference(avatar_split_clause,[],[f1247,f280,f1252]) ).
fof(f1247,plain,
( sK16 = sdtpldt0(sK19(sK16),sK20(sK16))
| ~ spl32_10 ),
inference(resolution,[],[f159,f282]) ).
fof(f1246,plain,
( spl32_100
| ~ spl32_21 ),
inference(avatar_split_clause,[],[f1067,f353,f1243]) ).
fof(f1243,plain,
( spl32_100
<=> sK19(sK18) = sdtasdt0(sK19(sK18),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_100])]) ).
fof(f1241,plain,
( spl32_99
| ~ spl32_22 ),
inference(avatar_split_clause,[],[f1040,f358,f1238]) ).
fof(f1238,plain,
( spl32_99
<=> sz00 = sdtasdt0(smndt0(sK20(sK16)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_99])]) ).
fof(f1040,plain,
( sz00 = sdtasdt0(smndt0(sK20(sK16)),sz00)
| ~ spl32_22 ),
inference(resolution,[],[f369,f360]) ).
fof(f1236,plain,
( spl32_98
| ~ spl32_20 ),
inference(avatar_split_clause,[],[f1038,f348,f1233]) ).
fof(f1233,plain,
( spl32_98
<=> sz00 = sdtasdt0(smndt0(sK19(sK16)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_98])]) ).
fof(f1038,plain,
( sz00 = sdtasdt0(smndt0(sK19(sK16)),sz00)
| ~ spl32_20 ),
inference(resolution,[],[f369,f350]) ).
fof(f1217,plain,
( spl32_97
| ~ spl32_19 ),
inference(avatar_split_clause,[],[f1201,f343,f1214]) ).
fof(f1201,plain,
( smndt0(sK18) = sdtasdt0(smndt0(sz10),sK18)
| ~ spl32_19 ),
inference(resolution,[],[f345,f188]) ).
fof(f1212,plain,
( spl32_96
| ~ spl32_18 ),
inference(avatar_split_clause,[],[f1178,f338,f1209]) ).
fof(f1209,plain,
( spl32_96
<=> smndt0(sK16) = sdtasdt0(sK16,smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_96])]) ).
fof(f1178,plain,
( smndt0(sK16) = sdtasdt0(sK16,smndt0(sz10))
| ~ spl32_18 ),
inference(resolution,[],[f189,f340]) ).
fof(f1192,plain,
( spl32_19
| ~ spl32_8
| ~ spl32_11 ),
inference(avatar_split_clause,[],[f332,f287,f270,f343]) ).
fof(f1191,plain,
( spl32_95
| ~ spl32_12 ),
inference(avatar_split_clause,[],[f1179,f291,f1188]) ).
fof(f1179,plain,
( smndt0(sK17) = sdtasdt0(sK17,smndt0(sz10))
| ~ spl32_12 ),
inference(resolution,[],[f189,f293]) ).
fof(f1167,plain,
( spl32_94
| ~ spl32_18 ),
inference(avatar_split_clause,[],[f1099,f338,f1164]) ).
fof(f1099,plain,
( smndt0(sK16) = sdtasdt0(smndt0(sz10),sK16)
| ~ spl32_18 ),
inference(resolution,[],[f188,f340]) ).
fof(f1151,plain,
( spl32_93
| ~ spl32_19 ),
inference(avatar_split_clause,[],[f1142,f343,f1148]) ).
fof(f1148,plain,
( spl32_93
<=> sz00 = sdtasdt0(smndt0(sK18),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_93])]) ).
fof(f1142,plain,
( sz00 = sdtasdt0(smndt0(sK18),sz00)
| ~ spl32_19 ),
inference(resolution,[],[f345,f369]) ).
fof(f1132,plain,
( spl32_19
| ~ spl32_8
| ~ spl32_11 ),
inference(avatar_split_clause,[],[f332,f287,f270,f343]) ).
fof(f1131,plain,
( spl32_92
| ~ spl32_12 ),
inference(avatar_split_clause,[],[f1123,f291,f1128]) ).
fof(f1123,plain,
( smndt0(sK17) = sdtasdt0(smndt0(sz10),sK17)
| ~ spl32_12 ),
inference(resolution,[],[f293,f188]) ).
fof(f1114,plain,
( spl32_91
| ~ spl32_19 ),
inference(avatar_split_clause,[],[f1061,f343,f1111]) ).
fof(f1111,plain,
( spl32_91
<=> sz00 = sdtpldt0(smndt0(sK18),sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_91])]) ).
fof(f1061,plain,
( sz00 = sdtpldt0(smndt0(sK18),sK18)
| ~ spl32_19 ),
inference(resolution,[],[f345,f187]) ).
fof(f1088,plain,
( spl32_16
| ~ spl32_11 ),
inference(avatar_split_clause,[],[f308,f287,f315]) ).
fof(f1083,plain,
( spl32_14
| ~ spl32_11 ),
inference(avatar_split_clause,[],[f296,f287,f303]) ).
fof(f1064,plain,
( spl32_23
| ~ spl32_3
| ~ spl32_16 ),
inference(avatar_split_clause,[],[f336,f315,f245,f363]) ).
fof(f1063,plain,
( spl32_21
| ~ spl32_1
| ~ spl32_14 ),
inference(avatar_split_clause,[],[f334,f303,f235,f353]) ).
fof(f1053,plain,
( spl32_19
| ~ spl32_8
| ~ spl32_11 ),
inference(avatar_split_clause,[],[f332,f287,f270,f343]) ).
fof(f1052,plain,
( spl32_90
| ~ spl32_12 ),
inference(avatar_split_clause,[],[f1037,f291,f1049]) ).
fof(f1049,plain,
( spl32_90
<=> sz00 = sdtasdt0(smndt0(sK17),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_90])]) ).
fof(f1037,plain,
( sz00 = sdtasdt0(smndt0(sK17),sz00)
| ~ spl32_12 ),
inference(resolution,[],[f369,f293]) ).
fof(f1047,plain,
( spl32_89
| ~ spl32_18 ),
inference(avatar_split_clause,[],[f1036,f338,f1044]) ).
fof(f1044,plain,
( spl32_89
<=> sz00 = sdtasdt0(smndt0(sK16),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_89])]) ).
fof(f1036,plain,
( sz00 = sdtasdt0(smndt0(sK16),sz00)
| ~ spl32_18 ),
inference(resolution,[],[f369,f340]) ).
fof(f982,plain,
( spl32_88
| ~ spl32_75 ),
inference(avatar_split_clause,[],[f838,f833,f979]) ).
fof(f977,plain,
( spl32_87
| ~ spl32_75 ),
inference(avatar_split_clause,[],[f837,f833,f974]) ).
fof(f974,plain,
( spl32_87
<=> sz00 = sdtasdt0(sK19(sK23(sdtpldt1(xI,xJ))),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_87])]) ).
fof(f972,plain,
( spl32_86
| ~ spl32_74 ),
inference(avatar_split_clause,[],[f823,f818,f969]) ).
fof(f967,plain,
( spl32_85
| ~ spl32_74 ),
inference(avatar_split_clause,[],[f822,f818,f964]) ).
fof(f964,plain,
( spl32_85
<=> sz00 = sdtasdt0(sK20(sK23(sdtpldt1(xI,xJ))),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_85])]) ).
fof(f958,plain,
( spl32_84
| ~ spl32_22 ),
inference(avatar_split_clause,[],[f733,f358,f955]) ).
fof(f955,plain,
( spl32_84
<=> sz00 = sdtpldt0(smndt0(sK20(sK16)),sK20(sK16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_84])]) ).
fof(f733,plain,
( sz00 = sdtpldt0(smndt0(sK20(sK16)),sK20(sK16))
| ~ spl32_22 ),
inference(resolution,[],[f187,f360]) ).
fof(f953,plain,
( spl32_83
| ~ spl32_20 ),
inference(avatar_split_clause,[],[f732,f348,f950]) ).
fof(f950,plain,
( spl32_83
<=> sz00 = sdtpldt0(smndt0(sK19(sK16)),sK19(sK16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_83])]) ).
fof(f732,plain,
( sz00 = sdtpldt0(smndt0(sK19(sK16)),sK19(sK16))
| ~ spl32_20 ),
inference(resolution,[],[f187,f350]) ).
fof(f948,plain,
( spl32_82
| ~ spl32_22 ),
inference(avatar_split_clause,[],[f706,f358,f945]) ).
fof(f945,plain,
( spl32_82
<=> sz00 = sdtpldt0(sK20(sK16),smndt0(sK20(sK16))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_82])]) ).
fof(f706,plain,
( sz00 = sdtpldt0(sK20(sK16),smndt0(sK20(sK16)))
| ~ spl32_22 ),
inference(resolution,[],[f186,f360]) ).
fof(f943,plain,
( spl32_81
| ~ spl32_20 ),
inference(avatar_split_clause,[],[f705,f348,f940]) ).
fof(f940,plain,
( spl32_81
<=> sz00 = sdtpldt0(sK19(sK16),smndt0(sK19(sK16))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_81])]) ).
fof(f705,plain,
( sz00 = sdtpldt0(sK19(sK16),smndt0(sK19(sK16)))
| ~ spl32_20 ),
inference(resolution,[],[f186,f350]) ).
fof(f908,plain,
( spl32_80
| ~ spl32_5 ),
inference(avatar_split_clause,[],[f728,f255,f905]) ).
fof(f905,plain,
( spl32_80
<=> sz00 = sdtpldt0(smndt0(sz10),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_80])]) ).
fof(f903,plain,
( spl32_79
| ~ spl32_6 ),
inference(avatar_split_clause,[],[f727,f260,f900]) ).
fof(f898,plain,
( spl32_78
| ~ spl32_5 ),
inference(avatar_split_clause,[],[f701,f255,f895]) ).
fof(f895,plain,
( spl32_78
<=> sz00 = sdtpldt0(sz10,smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_78])]) ).
fof(f893,plain,
( spl32_77
| ~ spl32_6 ),
inference(avatar_split_clause,[],[f700,f260,f890]) ).
fof(f888,plain,
( spl32_76
| ~ spl32_23 ),
inference(avatar_split_clause,[],[f762,f363,f885]) ).
fof(f885,plain,
( spl32_76
<=> sK20(sK18) = sdtpldt0(sK20(sK18),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_76])]) ).
fof(f836,plain,
( spl32_75
| ~ spl32_1
| ~ spl32_73 ),
inference(avatar_split_clause,[],[f831,f810,f235,f833]) ).
fof(f831,plain,
( aElement0(sK19(sK23(sdtpldt1(xI,xJ))))
| ~ spl32_1
| ~ spl32_73 ),
inference(subsumption_resolution,[],[f830,f237]) ).
fof(f830,plain,
( aElement0(sK19(sK23(sdtpldt1(xI,xJ))))
| ~ aSet0(xI)
| ~ spl32_73 ),
inference(resolution,[],[f812,f178]) ).
fof(f821,plain,
( spl32_74
| ~ spl32_3
| ~ spl32_72 ),
inference(avatar_split_clause,[],[f815,f805,f245,f818]) ).
fof(f815,plain,
( aElement0(sK20(sK23(sdtpldt1(xI,xJ))))
| ~ spl32_3
| ~ spl32_72 ),
inference(subsumption_resolution,[],[f814,f247]) ).
fof(f814,plain,
( aElement0(sK20(sK23(sdtpldt1(xI,xJ))))
| ~ aSet0(xJ)
| ~ spl32_72 ),
inference(resolution,[],[f807,f178]) ).
fof(f813,plain,
( spl32_73
| ~ spl32_8
| spl32_9 ),
inference(avatar_split_clause,[],[f798,f275,f270,f810]) ).
fof(f798,plain,
( aElementOf0(sK19(sK23(sdtpldt1(xI,xJ))),xI)
| ~ spl32_8
| spl32_9 ),
inference(subsumption_resolution,[],[f797,f272]) ).
fof(f797,plain,
( ~ aSet0(sdtpldt1(xI,xJ))
| aElementOf0(sK19(sK23(sdtpldt1(xI,xJ))),xI)
| spl32_9 ),
inference(subsumption_resolution,[],[f793,f277]) ).
fof(f793,plain,
( aIdeal0(sdtpldt1(xI,xJ))
| ~ aSet0(sdtpldt1(xI,xJ))
| aElementOf0(sK19(sK23(sdtpldt1(xI,xJ))),xI) ),
inference(resolution,[],[f198,f157]) ).
fof(f808,plain,
( spl32_72
| ~ spl32_8
| spl32_9 ),
inference(avatar_split_clause,[],[f796,f275,f270,f805]) ).
fof(f796,plain,
( aElementOf0(sK20(sK23(sdtpldt1(xI,xJ))),xJ)
| ~ spl32_8
| spl32_9 ),
inference(subsumption_resolution,[],[f795,f272]) ).
fof(f795,plain,
( ~ aSet0(sdtpldt1(xI,xJ))
| aElementOf0(sK20(sK23(sdtpldt1(xI,xJ))),xJ)
| spl32_9 ),
inference(subsumption_resolution,[],[f792,f277]) ).
fof(f792,plain,
( aIdeal0(sdtpldt1(xI,xJ))
| ~ aSet0(sdtpldt1(xI,xJ))
| aElementOf0(sK20(sK23(sdtpldt1(xI,xJ))),xJ) ),
inference(resolution,[],[f198,f158]) ).
fof(f803,plain,
( spl32_71
| ~ spl32_21 ),
inference(avatar_split_clause,[],[f751,f353,f800]) ).
fof(f800,plain,
( spl32_71
<=> sz00 = sdtasdt0(sz00,sK19(sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_71])]) ).
fof(f782,plain,
( spl32_70
| ~ spl32_19 ),
inference(avatar_split_clause,[],[f746,f343,f779]) ).
fof(f779,plain,
( spl32_70
<=> sz00 = sdtpldt0(sK18,smndt0(sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_70])]) ).
fof(f746,plain,
( sz00 = sdtpldt0(sK18,smndt0(sK18))
| ~ spl32_19 ),
inference(resolution,[],[f345,f186]) ).
fof(f777,plain,
( spl32_69
| ~ spl32_18 ),
inference(avatar_split_clause,[],[f730,f338,f774]) ).
fof(f774,plain,
( spl32_69
<=> sz00 = sdtpldt0(smndt0(sK16),sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_69])]) ).
fof(f730,plain,
( sz00 = sdtpldt0(smndt0(sK16),sK16)
| ~ spl32_18 ),
inference(resolution,[],[f187,f340]) ).
fof(f768,plain,
( spl32_16
| ~ spl32_11 ),
inference(avatar_split_clause,[],[f308,f287,f315]) ).
fof(f766,plain,
( spl32_14
| ~ spl32_11 ),
inference(avatar_split_clause,[],[f296,f287,f303]) ).
fof(f749,plain,
( spl32_23
| ~ spl32_3
| ~ spl32_16 ),
inference(avatar_split_clause,[],[f336,f315,f245,f363]) ).
fof(f748,plain,
( spl32_21
| ~ spl32_1
| ~ spl32_14 ),
inference(avatar_split_clause,[],[f334,f303,f235,f353]) ).
fof(f739,plain,
( spl32_19
| ~ spl32_8
| ~ spl32_11 ),
inference(avatar_split_clause,[],[f332,f287,f270,f343]) ).
fof(f738,plain,
( spl32_68
| ~ spl32_12 ),
inference(avatar_split_clause,[],[f731,f291,f735]) ).
fof(f735,plain,
( spl32_68
<=> sz00 = sdtpldt0(smndt0(sK17),sK17) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_68])]) ).
fof(f731,plain,
( sz00 = sdtpldt0(smndt0(sK17),sK17)
| ~ spl32_12 ),
inference(resolution,[],[f187,f293]) ).
fof(f726,plain,
( spl32_67
| ~ spl32_22 ),
inference(avatar_split_clause,[],[f538,f358,f723]) ).
fof(f538,plain,
( sK20(sK16) = sdtpldt0(sz00,sK20(sK16))
| ~ spl32_22 ),
inference(resolution,[],[f185,f360]) ).
fof(f721,plain,
( spl32_66
| ~ spl32_20 ),
inference(avatar_split_clause,[],[f536,f348,f718]) ).
fof(f718,plain,
( spl32_66
<=> sK19(sK16) = sdtpldt0(sz00,sK19(sK16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_66])]) ).
fof(f536,plain,
( sK19(sK16) = sdtpldt0(sz00,sK19(sK16))
| ~ spl32_20 ),
inference(resolution,[],[f185,f350]) ).
fof(f716,plain,
( spl32_65
| ~ spl32_18 ),
inference(avatar_split_clause,[],[f703,f338,f713]) ).
fof(f713,plain,
( spl32_65
<=> sz00 = sdtpldt0(sK16,smndt0(sK16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_65])]) ).
fof(f703,plain,
( sz00 = sdtpldt0(sK16,smndt0(sK16))
| ~ spl32_18 ),
inference(resolution,[],[f186,f340]) ).
fof(f711,plain,
( spl32_64
| ~ spl32_12 ),
inference(avatar_split_clause,[],[f704,f291,f708]) ).
fof(f708,plain,
( spl32_64
<=> sz00 = sdtpldt0(sK17,smndt0(sK17)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_64])]) ).
fof(f704,plain,
( sz00 = sdtpldt0(sK17,smndt0(sK17))
| ~ spl32_12 ),
inference(resolution,[],[f186,f293]) ).
fof(f699,plain,
( spl32_63
| ~ spl32_22 ),
inference(avatar_split_clause,[],[f510,f358,f696]) ).
fof(f696,plain,
( spl32_63
<=> sK20(sK16) = sdtpldt0(sK20(sK16),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_63])]) ).
fof(f510,plain,
( sK20(sK16) = sdtpldt0(sK20(sK16),sz00)
| ~ spl32_22 ),
inference(resolution,[],[f184,f360]) ).
fof(f694,plain,
( spl32_62
| ~ spl32_20 ),
inference(avatar_split_clause,[],[f508,f348,f691]) ).
fof(f508,plain,
( sK19(sK16) = sdtpldt0(sK19(sK16),sz00)
| ~ spl32_20 ),
inference(resolution,[],[f184,f350]) ).
fof(f689,plain,
( spl32_61
| ~ spl32_23 ),
inference(avatar_split_clause,[],[f461,f363,f686]) ).
fof(f686,plain,
( spl32_61
<=> sK20(sK18) = sdtasdt0(sz10,sK20(sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_61])]) ).
fof(f684,plain,
( spl32_60
| ~ spl32_22 ),
inference(avatar_split_clause,[],[f460,f358,f681]) ).
fof(f681,plain,
( spl32_60
<=> sK20(sK16) = sdtasdt0(sz10,sK20(sK16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_60])]) ).
fof(f460,plain,
( sK20(sK16) = sdtasdt0(sz10,sK20(sK16))
| ~ spl32_22 ),
inference(resolution,[],[f183,f360]) ).
fof(f679,plain,
( spl32_59
| ~ spl32_20 ),
inference(avatar_split_clause,[],[f458,f348,f676]) ).
fof(f676,plain,
( spl32_59
<=> sK19(sK16) = sdtasdt0(sz10,sK19(sK16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_59])]) ).
fof(f458,plain,
( sK19(sK16) = sdtasdt0(sz10,sK19(sK16))
| ~ spl32_20 ),
inference(resolution,[],[f183,f350]) ).
fof(f674,plain,
( spl32_58
| ~ spl32_23 ),
inference(avatar_split_clause,[],[f427,f363,f671]) ).
fof(f671,plain,
( spl32_58
<=> sK20(sK18) = sdtasdt0(sK20(sK18),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_58])]) ).
fof(f669,plain,
( spl32_57
| ~ spl32_22 ),
inference(avatar_split_clause,[],[f426,f358,f666]) ).
fof(f426,plain,
( sK20(sK16) = sdtasdt0(sK20(sK16),sz10)
| ~ spl32_22 ),
inference(resolution,[],[f182,f360]) ).
fof(f664,plain,
( spl32_56
| ~ spl32_20 ),
inference(avatar_split_clause,[],[f424,f348,f661]) ).
fof(f661,plain,
( spl32_56
<=> sK19(sK16) = sdtasdt0(sK19(sK16),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_56])]) ).
fof(f424,plain,
( sK19(sK16) = sdtasdt0(sK19(sK16),sz10)
| ~ spl32_20 ),
inference(resolution,[],[f182,f350]) ).
fof(f657,plain,
( spl32_55
| ~ spl32_5 ),
inference(avatar_split_clause,[],[f532,f255,f654]) ).
fof(f654,plain,
( spl32_55
<=> sz10 = sdtpldt0(sz00,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_55])]) ).
fof(f652,plain,
( spl32_53
| ~ spl32_6 ),
inference(avatar_split_clause,[],[f531,f260,f643]) ).
fof(f651,plain,
( spl32_54
| ~ spl32_5 ),
inference(avatar_split_clause,[],[f504,f255,f648]) ).
fof(f648,plain,
( spl32_54
<=> sz10 = sdtpldt0(sz10,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_54])]) ).
fof(f646,plain,
( spl32_53
| ~ spl32_6 ),
inference(avatar_split_clause,[],[f503,f260,f643]) ).
fof(f641,plain,
( spl32_52
| ~ spl32_5 ),
inference(avatar_split_clause,[],[f454,f255,f634]) ).
fof(f638,plain,
( spl32_50
| ~ spl32_6 ),
inference(avatar_split_clause,[],[f453,f260,f622]) ).
fof(f622,plain,
( spl32_50
<=> sz00 = sdtasdt0(sz10,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_50])]) ).
fof(f637,plain,
( spl32_52
| ~ spl32_5 ),
inference(avatar_split_clause,[],[f420,f255,f634]) ).
fof(f632,plain,
( spl32_51
| ~ spl32_6 ),
inference(avatar_split_clause,[],[f419,f260,f628]) ).
fof(f628,plain,
( spl32_51
<=> sz00 = sdtasdt0(sz00,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_51])]) ).
fof(f631,plain,
( spl32_51
| ~ spl32_5 ),
inference(avatar_split_clause,[],[f391,f255,f628]) ).
fof(f626,plain,
( spl32_49
| ~ spl32_6 ),
inference(avatar_split_clause,[],[f390,f260,f617]) ).
fof(f625,plain,
( spl32_50
| ~ spl32_5 ),
inference(avatar_split_clause,[],[f368,f255,f622]) ).
fof(f620,plain,
( spl32_49
| ~ spl32_6 ),
inference(avatar_split_clause,[],[f367,f260,f617]) ).
fof(f613,plain,
( spl32_48
| ~ spl32_23 ),
inference(avatar_split_clause,[],[f408,f363,f610]) ).
fof(f610,plain,
( spl32_48
<=> sz00 = sdtasdt0(sK20(sK18),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_48])]) ).
fof(f608,plain,
( spl32_47
| ~ spl32_23 ),
inference(avatar_split_clause,[],[f407,f363,f605]) ).
fof(f603,plain,
( spl32_46
| ~ spl32_22 ),
inference(avatar_split_clause,[],[f397,f358,f600]) ).
fof(f397,plain,
( sz00 = sdtasdt0(sz00,sK20(sK16))
| ~ spl32_22 ),
inference(resolution,[],[f181,f360]) ).
fof(f598,plain,
( spl32_45
| ~ spl32_20 ),
inference(avatar_split_clause,[],[f395,f348,f595]) ).
fof(f395,plain,
( sz00 = sdtasdt0(sz00,sK19(sK16))
| ~ spl32_20 ),
inference(resolution,[],[f181,f350]) ).
fof(f593,plain,
( spl32_44
| ~ spl32_22 ),
inference(avatar_split_clause,[],[f374,f358,f590]) ).
fof(f590,plain,
( spl32_44
<=> sz00 = sdtasdt0(sK20(sK16),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_44])]) ).
fof(f374,plain,
( sz00 = sdtasdt0(sK20(sK16),sz00)
| ~ spl32_22 ),
inference(resolution,[],[f180,f360]) ).
fof(f588,plain,
( spl32_43
| ~ spl32_21 ),
inference(avatar_split_clause,[],[f373,f353,f585]) ).
fof(f585,plain,
( spl32_43
<=> sz00 = sdtasdt0(sK19(sK18),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_43])]) ).
fof(f575,plain,
( spl32_42
| ~ spl32_19 ),
inference(avatar_split_clause,[],[f557,f343,f572]) ).
fof(f572,plain,
( spl32_42
<=> sK18 = sdtpldt0(sz00,sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_42])]) ).
fof(f557,plain,
( sK18 = sdtpldt0(sz00,sK18)
| ~ spl32_19 ),
inference(resolution,[],[f345,f185]) ).
fof(f570,plain,
( spl32_41
| ~ spl32_18 ),
inference(avatar_split_clause,[],[f534,f338,f567]) ).
fof(f567,plain,
( spl32_41
<=> sK16 = sdtpldt0(sz00,sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_41])]) ).
fof(f534,plain,
( sK16 = sdtpldt0(sz00,sK16)
| ~ spl32_18 ),
inference(resolution,[],[f185,f340]) ).
fof(f556,plain,
( spl32_19
| ~ spl32_8
| ~ spl32_11 ),
inference(avatar_split_clause,[],[f332,f287,f270,f343]) ).
fof(f555,plain,
( spl32_40
| ~ spl32_12 ),
inference(avatar_split_clause,[],[f545,f291,f552]) ).
fof(f552,plain,
( spl32_40
<=> sK17 = sdtpldt0(sz00,sK17) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_40])]) ).
fof(f545,plain,
( sK17 = sdtpldt0(sz00,sK17)
| ~ spl32_12 ),
inference(resolution,[],[f293,f185]) ).
fof(f544,plain,
( spl32_39
| ~ spl32_19 ),
inference(avatar_split_clause,[],[f518,f343,f541]) ).
fof(f541,plain,
( spl32_39
<=> sK18 = sdtpldt0(sK18,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_39])]) ).
fof(f518,plain,
( sK18 = sdtpldt0(sK18,sz00)
| ~ spl32_19 ),
inference(resolution,[],[f345,f184]) ).
fof(f530,plain,
( spl32_38
| ~ spl32_18 ),
inference(avatar_split_clause,[],[f506,f338,f527]) ).
fof(f527,plain,
( spl32_38
<=> sK16 = sdtpldt0(sK16,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_38])]) ).
fof(f506,plain,
( sK16 = sdtpldt0(sK16,sz00)
| ~ spl32_18 ),
inference(resolution,[],[f184,f340]) ).
fof(f517,plain,
( spl32_19
| ~ spl32_8
| ~ spl32_11 ),
inference(avatar_split_clause,[],[f332,f287,f270,f343]) ).
fof(f516,plain,
( spl32_37
| ~ spl32_12 ),
inference(avatar_split_clause,[],[f507,f291,f513]) ).
fof(f513,plain,
( spl32_37
<=> sK17 = sdtpldt0(sK17,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_37])]) ).
fof(f507,plain,
( sK17 = sdtpldt0(sK17,sz00)
| ~ spl32_12 ),
inference(resolution,[],[f184,f293]) ).
fof(f498,plain,
( spl32_36
| ~ spl32_19 ),
inference(avatar_split_clause,[],[f482,f343,f495]) ).
fof(f482,plain,
( sK18 = sdtasdt0(sz10,sK18)
| ~ spl32_19 ),
inference(resolution,[],[f345,f183]) ).
fof(f493,plain,
( spl32_35
| ~ spl32_18 ),
inference(avatar_split_clause,[],[f456,f338,f490]) ).
fof(f490,plain,
( spl32_35
<=> sK16 = sdtasdt0(sz10,sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_35])]) ).
fof(f456,plain,
( sK16 = sdtasdt0(sz10,sK16)
| ~ spl32_18 ),
inference(resolution,[],[f183,f340]) ).
fof(f481,plain,
( spl32_19
| ~ spl32_8
| ~ spl32_11 ),
inference(avatar_split_clause,[],[f332,f287,f270,f343]) ).
fof(f480,plain,
( spl32_34
| ~ spl32_12 ),
inference(avatar_split_clause,[],[f472,f291,f477]) ).
fof(f477,plain,
( spl32_34
<=> sK17 = sdtasdt0(sz10,sK17) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_34])]) ).
fof(f472,plain,
( sK17 = sdtasdt0(sz10,sK17)
| ~ spl32_12 ),
inference(resolution,[],[f293,f183]) ).
fof(f471,plain,
( spl32_33
| ~ spl32_19 ),
inference(avatar_split_clause,[],[f447,f343,f468]) ).
fof(f447,plain,
( sK18 = sdtasdt0(sK18,sz10)
| ~ spl32_19 ),
inference(resolution,[],[f345,f182]) ).
fof(f466,plain,
( spl32_32
| ~ spl32_18 ),
inference(avatar_split_clause,[],[f422,f338,f463]) ).
fof(f463,plain,
( spl32_32
<=> sK16 = sdtasdt0(sK16,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_32])]) ).
fof(f422,plain,
( sK16 = sdtasdt0(sK16,sz10)
| ~ spl32_18 ),
inference(resolution,[],[f182,f340]) ).
fof(f446,plain,
( spl32_19
| ~ spl32_8
| ~ spl32_11 ),
inference(avatar_split_clause,[],[f332,f287,f270,f343]) ).
fof(f445,plain,
( spl32_31
| ~ spl32_12 ),
inference(avatar_split_clause,[],[f438,f291,f442]) ).
fof(f438,plain,
( sK17 = sdtasdt0(sK17,sz10)
| ~ spl32_12 ),
inference(resolution,[],[f293,f182]) ).
fof(f437,plain,
( spl32_30
| ~ spl32_19 ),
inference(avatar_split_clause,[],[f405,f343,f434]) ).
fof(f434,plain,
( spl32_30
<=> sz00 = sdtasdt0(sK18,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_30])]) ).
fof(f405,plain,
( sz00 = sdtasdt0(sK18,sz00)
| ~ spl32_19 ),
inference(resolution,[],[f345,f180]) ).
fof(f432,plain,
( spl32_29
| ~ spl32_19 ),
inference(avatar_split_clause,[],[f404,f343,f429]) ).
fof(f429,plain,
( spl32_29
<=> sz00 = sdtasdt0(sz00,sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_29])]) ).
fof(f404,plain,
( sz00 = sdtasdt0(sz00,sK18)
| ~ spl32_19 ),
inference(resolution,[],[f345,f181]) ).
fof(f418,plain,
( spl32_28
| ~ spl32_18 ),
inference(avatar_split_clause,[],[f393,f338,f415]) ).
fof(f415,plain,
( spl32_28
<=> sz00 = sdtasdt0(sz00,sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_28])]) ).
fof(f393,plain,
( sz00 = sdtasdt0(sz00,sK16)
| ~ spl32_18 ),
inference(resolution,[],[f181,f340]) ).
fof(f409,plain,
( spl32_16
| ~ spl32_11 ),
inference(avatar_split_clause,[],[f308,f287,f315]) ).
fof(f406,plain,
( spl32_23
| ~ spl32_3
| ~ spl32_16 ),
inference(avatar_split_clause,[],[f336,f315,f245,f363]) ).
fof(f403,plain,
( spl32_19
| ~ spl32_8
| ~ spl32_11 ),
inference(avatar_split_clause,[],[f332,f287,f270,f343]) ).
fof(f402,plain,
( spl32_27
| ~ spl32_12 ),
inference(avatar_split_clause,[],[f394,f291,f399]) ).
fof(f399,plain,
( spl32_27
<=> sz00 = sdtasdt0(sz00,sK17) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_27])]) ).
fof(f394,plain,
( sz00 = sdtasdt0(sz00,sK17)
| ~ spl32_12 ),
inference(resolution,[],[f181,f293]) ).
fof(f389,plain,
( spl32_26
| ~ spl32_20 ),
inference(avatar_split_clause,[],[f372,f348,f386]) ).
fof(f386,plain,
( spl32_26
<=> sz00 = sdtasdt0(sK19(sK16),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_26])]) ).
fof(f372,plain,
( sz00 = sdtasdt0(sK19(sK16),sz00)
| ~ spl32_20 ),
inference(resolution,[],[f180,f350]) ).
fof(f384,plain,
( spl32_25
| ~ spl32_18 ),
inference(avatar_split_clause,[],[f370,f338,f381]) ).
fof(f381,plain,
( spl32_25
<=> sz00 = sdtasdt0(sK16,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_25])]) ).
fof(f370,plain,
( sz00 = sdtasdt0(sK16,sz00)
| ~ spl32_18 ),
inference(resolution,[],[f180,f340]) ).
fof(f379,plain,
( spl32_24
| ~ spl32_12 ),
inference(avatar_split_clause,[],[f371,f291,f376]) ).
fof(f376,plain,
( spl32_24
<=> sz00 = sdtasdt0(sK17,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_24])]) ).
fof(f371,plain,
( sz00 = sdtasdt0(sK17,sz00)
| ~ spl32_12 ),
inference(resolution,[],[f180,f293]) ).
fof(f366,plain,
( spl32_23
| ~ spl32_3
| ~ spl32_16 ),
inference(avatar_split_clause,[],[f336,f315,f245,f363]) ).
fof(f361,plain,
( spl32_22
| ~ spl32_3
| ~ spl32_15 ),
inference(avatar_split_clause,[],[f335,f310,f245,f358]) ).
fof(f335,plain,
( aElement0(sK20(sK16))
| ~ spl32_3
| ~ spl32_15 ),
inference(subsumption_resolution,[],[f329,f247]) ).
fof(f329,plain,
( aElement0(sK20(sK16))
| ~ aSet0(xJ)
| ~ spl32_15 ),
inference(resolution,[],[f178,f312]) ).
fof(f356,plain,
( spl32_21
| ~ spl32_1
| ~ spl32_14 ),
inference(avatar_split_clause,[],[f334,f303,f235,f353]) ).
fof(f351,plain,
( spl32_20
| ~ spl32_1
| ~ spl32_13 ),
inference(avatar_split_clause,[],[f333,f298,f235,f348]) ).
fof(f333,plain,
( aElement0(sK19(sK16))
| ~ spl32_1
| ~ spl32_13 ),
inference(subsumption_resolution,[],[f327,f237]) ).
fof(f327,plain,
( aElement0(sK19(sK16))
| ~ aSet0(xI)
| ~ spl32_13 ),
inference(resolution,[],[f178,f300]) ).
fof(f346,plain,
( spl32_19
| ~ spl32_8
| ~ spl32_11 ),
inference(avatar_split_clause,[],[f332,f287,f270,f343]) ).
fof(f341,plain,
( spl32_18
| ~ spl32_8
| ~ spl32_10 ),
inference(avatar_split_clause,[],[f331,f280,f270,f338]) ).
fof(f331,plain,
( aElement0(sK16)
| ~ spl32_8
| ~ spl32_10 ),
inference(subsumption_resolution,[],[f325,f272]) ).
fof(f325,plain,
( aElement0(sK16)
| ~ aSet0(sdtpldt1(xI,xJ))
| ~ spl32_10 ),
inference(resolution,[],[f178,f282]) ).
fof(f324,plain,
( ~ spl32_17
| spl32_12 ),
inference(avatar_split_clause,[],[f319,f291,f321]) ).
fof(f319,plain,
( ~ aElementOf0(sdtpldt0(sK16,sK18),sdtpldt1(xI,xJ))
| spl32_12 ),
inference(subsumption_resolution,[],[f163,f292]) ).
fof(f292,plain,
( ~ aElement0(sK17)
| spl32_12 ),
inference(avatar_component_clause,[],[f291]) ).
fof(f318,plain,
( spl32_16
| ~ spl32_11 ),
inference(avatar_split_clause,[],[f308,f287,f315]) ).
fof(f313,plain,
( spl32_15
| ~ spl32_10 ),
inference(avatar_split_clause,[],[f307,f280,f310]) ).
fof(f307,plain,
( aElementOf0(sK20(sK16),xJ)
| ~ spl32_10 ),
inference(resolution,[],[f158,f282]) ).
fof(f306,plain,
( spl32_14
| ~ spl32_11 ),
inference(avatar_split_clause,[],[f296,f287,f303]) ).
fof(f301,plain,
( spl32_13
| ~ spl32_10 ),
inference(avatar_split_clause,[],[f295,f280,f298]) ).
fof(f295,plain,
( aElementOf0(sK19(sK16),xI)
| ~ spl32_10 ),
inference(resolution,[],[f157,f282]) ).
fof(f294,plain,
( spl32_11
| spl32_12 ),
inference(avatar_split_clause,[],[f162,f291,f287]) ).
fof(f283,plain,
spl32_10,
inference(avatar_split_clause,[],[f161,f280]) ).
fof(f278,plain,
~ spl32_9,
inference(avatar_split_clause,[],[f166,f275]) ).
fof(f273,plain,
spl32_8,
inference(avatar_split_clause,[],[f156,f270]) ).
fof(f268,plain,
~ spl32_7,
inference(avatar_split_clause,[],[f177,f265]) ).
fof(f265,plain,
( spl32_7
<=> sz00 = sz10 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_7])]) ).
fof(f263,plain,
spl32_6,
inference(avatar_split_clause,[],[f176,f260]) ).
fof(f258,plain,
spl32_5,
inference(avatar_split_clause,[],[f175,f255]) ).
fof(f253,plain,
spl32_4,
inference(avatar_split_clause,[],[f174,f250]) ).
fof(f250,plain,
( spl32_4
<=> aIdeal0(xJ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_4])]) ).
fof(f248,plain,
spl32_3,
inference(avatar_split_clause,[],[f171,f245]) ).
fof(f243,plain,
spl32_2,
inference(avatar_split_clause,[],[f170,f240]) ).
fof(f240,plain,
( spl32_2
<=> aIdeal0(xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_2])]) ).
fof(f238,plain,
spl32_1,
inference(avatar_split_clause,[],[f167,f235]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : RNG092+2 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Aug 30 16:05:58 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.17/0.40 % (3506)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.41 % (3507)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.17/0.41 % (3508)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.17/0.41 % (3509)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)
% 0.17/0.41 % (3511)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)
% 0.17/0.41 % (3512)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)
% 0.17/0.41 % (3513)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)
% 0.17/0.41 % (3510)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.17/0.42 TRYING [1]
% 0.17/0.42 TRYING [2]
% 0.17/0.44 TRYING [3]
% 0.17/0.44 TRYING [1]
% 0.17/0.44 TRYING [2]
% 0.17/0.47 TRYING [3]
% 0.17/0.50 TRYING [4]
% 0.17/0.58 TRYING [4]
% 2.80/0.80 TRYING [5]
% 4.24/1.00 TRYING [1]
% 4.24/1.01 TRYING [2]
% 4.24/1.03 TRYING [3]
% 5.01/1.16 TRYING [4]
% 5.01/1.19 TRYING [5]
% 9.13/1.71 TRYING [6]
% 11.19/2.02 TRYING [5]
% 18.50/3.07 % (3509)First to succeed.
% 18.79/3.09 % (3509)Refutation found. Thanks to Tanya!
% 18.79/3.09 % SZS status Theorem for Vampire---4
% 18.79/3.09 % SZS output start Proof for Vampire---4
% See solution above
% 18.79/3.11 % (3509)------------------------------
% 18.79/3.11 % (3509)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 18.79/3.11 % (3509)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 18.79/3.11 % (3509)Termination reason: Refutation
% 18.79/3.11
% 18.79/3.11 % (3509)Memory used [KB]: 16247
% 18.79/3.11 % (3509)Time elapsed: 2.679 s
% 18.79/3.11 % (3509)------------------------------
% 18.79/3.11 % (3509)------------------------------
% 18.79/3.11 % (3506)Success in time 2.742 s
% 18.79/3.11 % Vampire---4.8 exiting
%------------------------------------------------------------------------------