TSTP Solution File: NUM600+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM600+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n004.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 : Wed Aug 31 18:06:01 EDT 2022
% Result : Theorem 70.41s 9.22s
% Output : Refutation 70.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 1109
% Syntax : Number of formulae : 3756 ( 81 unt; 0 def)
% Number of atoms : 12948 (1884 equ)
% Maximal formula atoms : 22 ( 3 avg)
% Number of connectives : 15973 (6781 ~;7455 |; 526 &)
% (1060 <=>; 151 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 1015 (1013 usr;1005 prp; 0-2 aty)
% Number of functors : 48 ( 48 usr; 14 con; 0-3 aty)
% Number of variables : 1758 (1660 !; 98 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8714,plain,
$false,
inference(avatar_smt_refutation,[],[f578,f583,f588,f593,f598,f603,f612,f617,f622,f627,f632,f637,f642,f647,f652,f657,f662,f667,f668,f673,f674,f679,f684,f689,f696,f701,f706,f711,f716,f721,f722,f727,f732,f739,f744,f749,f754,f765,f775,f782,f795,f800,f806,f816,f823,f829,f833,f847,f855,f862,f867,f869,f878,f880,f882,f891,f896,f905,f914,f917,f919,f929,f935,f941,f947,f961,f966,f968,f976,f978,f983,f992,f996,f1000,f1004,f1013,f1018,f1031,f1036,f1043,f1047,f1058,f1063,f1070,f1074,f1086,f1090,f1108,f1118,f1128,f1140,f1155,f1160,f1199,f1206,f1209,f1216,f1227,f1234,f1241,f1247,f1257,f1283,f1288,f1289,f1295,f1312,f1343,f1348,f1353,f1357,f1362,f1366,f1370,f1375,f1380,f1385,f1407,f1411,f1450,f1455,f1464,f1473,f1480,f1486,f1498,f1508,f1521,f1532,f1545,f1558,f1562,f1570,f1574,f1582,f1594,f1598,f1602,f1606,f1614,f1615,f1621,f1656,f1665,f1670,f1675,f1716,f1721,f1725,f1726,f1730,f1735,f1739,f1744,f1748,f1756,f1760,f1764,f1769,f1771,f1776,f1777,f1833,f1839,f1844,f1852,f1861,f1868,f1875,f1881,f1886,f1909,f1910,f1915,f1919,f1922,f1923,f1932,f1933,f1941,f1992,f1997,f2001,f2005,f2010,f2014,f2018,f2026,f2027,f2031,f2036,f2040,f2048,f2057,f2061,f2065,f2069,f2080,f2085,f2090,f2099,f2107,f2111,f2115,f2119,f2126,f2137,f2142,f2159,f2167,f2175,f2183,f2193,f2206,f2216,f2226,f2237,f2242,f2251,f2256,f2270,f2277,f2295,f2299,f2304,f2308,f2314,f2330,f2335,f2340,f2345,f2374,f2405,f2407,f2443,f2452,f2456,f2460,f2464,f2477,f2481,f2485,f2489,f2491,f2510,f2519,f2523,f2541,f2546,f2551,f2552,f2553,f2557,f2561,f2562,f2566,f2567,f2568,f2569,f2570,f2578,f2582,f2586,f2631,f2635,f2658,f2684,f2700,f2705,f2710,f2733,f2739,f2744,f2750,f2756,f2772,f2777,f2782,f2789,f2809,f2814,f2818,f2833,f2837,f2842,f2857,f2862,f2866,f2876,f2890,f2894,f2899,f2911,f2920,f2929,f2931,f2972,f2981,f2986,f2991,f3000,f3009,f3018,f3027,f3036,f3079,f3085,f3090,f3096,f3102,f3108,f3144,f3150,f3152,f3154,f3166,f3179,f3192,f3196,f3200,f3205,f3210,f3227,f3244,f3249,f3277,f3282,f3287,f3288,f3316,f3321,f3329,f3330,f3351,f3356,f3361,f3390,f3408,f3412,f3417,f3435,f3436,f3437,f3438,f3439,f3455,f3469,f3484,f3489,f3509,f3514,f3515,f3524,f3528,f3538,f3542,f3543,f3565,f3573,f3577,f3582,f3587,f3597,f3598,f3603,f3608,f3613,f3623,f3631,f3636,f3640,f3645,f3646,f3651,f3654,f3668,f3671,f3685,f3690,f3695,f3700,f3704,f3718,f3723,f3728,f3736,f3823,f3843,f3847,f3857,f3861,f3869,f3871,f3887,f3902,f3907,f3916,f3925,f3930,f3935,f3940,f3970,f3975,f3999,f4015,f4030,f4044,f4055,f4068,f4069,f4090,f4096,f4102,f4108,f4114,f4122,f4130,f4135,f4145,f4153,f4161,f4166,f4180,f4185,f4190,f4200,f4211,f4216,f4221,f4244,f4249,f4254,f4259,f4264,f4278,f4283,f4288,f4293,f4298,f4323,f4332,f4343,f4372,f4391,f4400,f4405,f4406,f4410,f4414,f4422,f4428,f4443,f4461,f4497,f4502,f4507,f4512,f4537,f4546,f4551,f4560,f4609,f4614,f4624,f4639,f4644,f4649,f4659,f4666,f4686,f4691,f4696,f4705,f4710,f4715,f4720,f4729,f4738,f4743,f4768,f4774,f4785,f4791,f4803,f4809,f4822,f4826,f4839,f4843,f4873,f4884,f4893,f4915,f4927,f4931,f4933,f4935,f4936,f4938,f4988,f5001,f5006,f5019,f5023,f5047,f5052,f5064,f5081,f5112,f5116,f5118,f5131,f5137,f5165,f5179,f5192,f5197,f5227,f5235,f5239,f5244,f5254,f5275,f5298,f5307,f5341,f5350,f5356,f5361,f5375,f5394,f5414,f5427,f5432,f5438,f5444,f5469,f5472,f5486,f5500,f5508,f5543,f5571,f5580,f5585,f5590,f5595,f5604,f5609,f5614,f5619,f5624,f5629,f5638,f5647,f5652,f5657,f5666,f5671,f5672,f5674,f5720,f5733,f5742,f5747,f5752,f5761,f5766,f5768,f5773,f5778,f5783,f5788,f5793,f5794,f5799,f5804,f5809,f5814,f5823,f5848,f5855,f5857,f5862,f5867,f5868,f5870,f5877,f5889,f5900,f5911,f6001,f6006,f6011,f6016,f6021,f6030,f6035,f6044,f6049,f6054,f6059,f6060,f6069,f6083,f6110,f6155,f6171,f6172,f6210,f6219,f6228,f6237,f6246,f6255,f6264,f6273,f6282,f6291,f6300,f6309,f6318,f6327,f6336,f6345,f6354,f6363,f6372,f6381,f6390,f6424,f6433,f6438,f6443,f6452,f6457,f6462,f6467,f6476,f6481,f6486,f6491,f6500,f6505,f6510,f6515,f6526,f6531,f6561,f6566,f6574,f6582,f6590,f6605,f6622,f6628,f6633,f6652,f6658,f6663,f6674,f6680,f6685,f6691,f6696,f6707,f6713,f6718,f6741,f6745,f6768,f6769,f6779,f6780,f6802,f6803,f6809,f6826,f6865,f6874,f6879,f6884,f6885,f6890,f6899,f6904,f6909,f6914,f6919,f6924,f6929,f6938,f6943,f6948,f6953,f6958,f6967,f6972,f7004,f7009,f7014,f7023,f7029,f7034,f7043,f7052,f7061,f7066,f7071,f7076,f7081,f7086,f7091,f7096,f7101,f7102,f7107,f7120,f7136,f7150,f7182,f7191,f7200,f7206,f7211,f7220,f7225,f7230,f7235,f7240,f7241,f7246,f7251,f7257,f7262,f7267,f7272,f7281,f7286,f7300,f7305,f7310,f7315,f7320,f7334,f7339,f7344,f7345,f7350,f7376,f7378,f7393,f7402,f7435,f7440,f7445,f7450,f7455,f7460,f7465,f7470,f7479,f7484,f7493,f7498,f7503,f7509,f7518,f7523,f7528,f7537,f7542,f7543,f7548,f7558,f7564,f7570,f7582,f7587,f7593,f7606,f7643,f7648,f7653,f7658,f7663,f7672,f7677,f7682,f7687,f7696,f7701,f7706,f7711,f7716,f7717,f7722,f7727,f7732,f7737,f7746,f7751,f7773,f7778,f7795,f7800,f7801,f7802,f7807,f7811,f7815,f7819,f7823,f7828,f7833,f7850,f7859,f7864,f7879,f7888,f7904,f7925,f7936,f7945,f7982,f7990,f7994,f7998,f8002,f8007,f8011,f8015,f8028,f8032,f8036,f8041,f8042,f8047,f8052,f8053,f8058,f8062,f8063,f8068,f8085,f8094,f8099,f8104,f8109,f8113,f8115,f8131,f8136,f8141,f8145,f8162,f8178,f8184,f8190,f8205,f8210,f8215,f8220,f8226,f8241,f8246,f8251,f8256,f8261,f8266,f8281,f8286,f8292,f8297,f8316,f8320,f8328,f8352,f8357,f8361,f8362,f8366,f8368,f8385,f8394,f8408,f8414,f8419,f8425,f8431,f8436,f8447,f8458,f8461,f8480,f8493,f8495,f8500,f8506,f8512,f8517,f8521,f8545,f8554,f8564,f8570,f8574,f8583,f8588,f8593,f8617,f8618,f8622,f8623,f8632,f8637,f8642,f8663,f8664,f8665,f8674,f8681,f8690,f8701,f8706,f8711,f8713]) ).
fof(f8713,plain,
( spl25_994
| ~ spl25_121
| ~ spl25_28
| ~ spl25_15
| ~ spl25_991 ),
inference(avatar_split_clause,[],[f8712,f8629,f644,f713,f1452,f8652]) ).
fof(f8652,plain,
( spl25_994
<=> aElementOf0(sK22(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)),sK2),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_994])]) ).
fof(f1452,plain,
( spl25_121
<=> aElement0(szDzizrdt0(xd)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_121])]) ).
fof(f713,plain,
( spl25_28
<=> aFunction0(xd) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_28])]) ).
fof(f644,plain,
( spl25_15
<=> szNzAzT0 = szDzozmdt0(xd) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_15])]) ).
fof(f8629,plain,
( spl25_991
<=> aElementOf0(sK22(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)),sK2),sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_991])]) ).
fof(f8712,plain,
( ~ aFunction0(xd)
| ~ aElement0(szDzizrdt0(xd))
| aElementOf0(sK22(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)),sK2),szNzAzT0)
| ~ spl25_15
| ~ spl25_991 ),
inference(forward_demodulation,[],[f8693,f646]) ).
fof(f646,plain,
( szNzAzT0 = szDzozmdt0(xd)
| ~ spl25_15 ),
inference(avatar_component_clause,[],[f644]) ).
fof(f8693,plain,
( aElementOf0(sK22(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)),sK2),szDzozmdt0(xd))
| ~ aElement0(szDzizrdt0(xd))
| ~ aFunction0(xd)
| ~ spl25_991 ),
inference(resolution,[],[f8631,f531]) ).
fof(f531,plain,
! [X0,X1,X4] :
( ~ aElementOf0(X4,sdtlbdtrb0(X0,X1))
| ~ aFunction0(X0)
| ~ aElement0(X1)
| aElementOf0(X4,szDzozmdt0(X0)) ),
inference(equality_resolution,[],[f371]) ).
fof(f371,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,szDzozmdt0(X0))
| ~ aElementOf0(X4,X2)
| sdtlbdtrb0(X0,X1) != X2
| ~ aElement0(X1)
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f258]) ).
fof(f258,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtlbdtrb0(X0,X1) = X2
| ~ aSet0(X2)
| ( ( ~ aElementOf0(sK4(X0,X1,X2),X2)
| sdtlpdtrp0(X0,sK4(X0,X1,X2)) != X1
| ~ aElementOf0(sK4(X0,X1,X2),szDzozmdt0(X0)) )
& ( aElementOf0(sK4(X0,X1,X2),X2)
| ( sdtlpdtrp0(X0,sK4(X0,X1,X2)) = X1
& aElementOf0(sK4(X0,X1,X2),szDzozmdt0(X0)) ) ) ) )
& ( ( aSet0(X2)
& ! [X4] :
( ( ( sdtlpdtrp0(X0,X4) = X1
& aElementOf0(X4,szDzozmdt0(X0)) )
| ~ aElementOf0(X4,X2) )
& ( aElementOf0(X4,X2)
| sdtlpdtrp0(X0,X4) != X1
| ~ aElementOf0(X4,szDzozmdt0(X0)) ) ) )
| sdtlbdtrb0(X0,X1) != X2 ) )
| ~ aElement0(X1)
| ~ aFunction0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f256,f257]) ).
fof(f257,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ~ aElementOf0(X3,X2)
| sdtlpdtrp0(X0,X3) != X1
| ~ aElementOf0(X3,szDzozmdt0(X0)) )
& ( aElementOf0(X3,X2)
| ( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) ) ) )
=> ( ( ~ aElementOf0(sK4(X0,X1,X2),X2)
| sdtlpdtrp0(X0,sK4(X0,X1,X2)) != X1
| ~ aElementOf0(sK4(X0,X1,X2),szDzozmdt0(X0)) )
& ( aElementOf0(sK4(X0,X1,X2),X2)
| ( sdtlpdtrp0(X0,sK4(X0,X1,X2)) = X1
& aElementOf0(sK4(X0,X1,X2),szDzozmdt0(X0)) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f256,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtlbdtrb0(X0,X1) = X2
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aElementOf0(X3,X2)
| sdtlpdtrp0(X0,X3) != X1
| ~ aElementOf0(X3,szDzozmdt0(X0)) )
& ( aElementOf0(X3,X2)
| ( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) ) ) ) )
& ( ( aSet0(X2)
& ! [X4] :
( ( ( sdtlpdtrp0(X0,X4) = X1
& aElementOf0(X4,szDzozmdt0(X0)) )
| ~ aElementOf0(X4,X2) )
& ( aElementOf0(X4,X2)
| sdtlpdtrp0(X0,X4) != X1
| ~ aElementOf0(X4,szDzozmdt0(X0)) ) ) )
| sdtlbdtrb0(X0,X1) != X2 ) )
| ~ aElement0(X1)
| ~ aFunction0(X0) ),
inference(rectify,[],[f255]) ).
fof(f255,plain,
! [X1,X0] :
( ! [X2] :
( ( sdtlbdtrb0(X1,X0) = X2
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aElementOf0(X3,X2)
| sdtlpdtrp0(X1,X3) != X0
| ~ aElementOf0(X3,szDzozmdt0(X1)) )
& ( aElementOf0(X3,X2)
| ( sdtlpdtrp0(X1,X3) = X0
& aElementOf0(X3,szDzozmdt0(X1)) ) ) ) )
& ( ( aSet0(X2)
& ! [X3] :
( ( ( sdtlpdtrp0(X1,X3) = X0
& aElementOf0(X3,szDzozmdt0(X1)) )
| ~ aElementOf0(X3,X2) )
& ( aElementOf0(X3,X2)
| sdtlpdtrp0(X1,X3) != X0
| ~ aElementOf0(X3,szDzozmdt0(X1)) ) ) )
| sdtlbdtrb0(X1,X0) != X2 ) )
| ~ aElement0(X0)
| ~ aFunction0(X1) ),
inference(flattening,[],[f254]) ).
fof(f254,plain,
! [X1,X0] :
( ! [X2] :
( ( sdtlbdtrb0(X1,X0) = X2
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aElementOf0(X3,X2)
| sdtlpdtrp0(X1,X3) != X0
| ~ aElementOf0(X3,szDzozmdt0(X1)) )
& ( aElementOf0(X3,X2)
| ( sdtlpdtrp0(X1,X3) = X0
& aElementOf0(X3,szDzozmdt0(X1)) ) ) ) )
& ( ( aSet0(X2)
& ! [X3] :
( ( ( sdtlpdtrp0(X1,X3) = X0
& aElementOf0(X3,szDzozmdt0(X1)) )
| ~ aElementOf0(X3,X2) )
& ( aElementOf0(X3,X2)
| sdtlpdtrp0(X1,X3) != X0
| ~ aElementOf0(X3,szDzozmdt0(X1)) ) ) )
| sdtlbdtrb0(X1,X0) != X2 ) )
| ~ aElement0(X0)
| ~ aFunction0(X1) ),
inference(nnf_transformation,[],[f149]) ).
fof(f149,plain,
! [X1,X0] :
( ! [X2] :
( sdtlbdtrb0(X1,X0) = X2
<=> ( aSet0(X2)
& ! [X3] :
( ( sdtlpdtrp0(X1,X3) = X0
& aElementOf0(X3,szDzozmdt0(X1)) )
<=> aElementOf0(X3,X2) ) ) )
| ~ aElement0(X0)
| ~ aFunction0(X1) ),
inference(flattening,[],[f148]) ).
fof(f148,plain,
! [X1,X0] :
( ! [X2] :
( sdtlbdtrb0(X1,X0) = X2
<=> ( aSet0(X2)
& ! [X3] :
( ( sdtlpdtrp0(X1,X3) = X0
& aElementOf0(X3,szDzozmdt0(X1)) )
<=> aElementOf0(X3,X2) ) ) )
| ~ aElement0(X0)
| ~ aFunction0(X1) ),
inference(ennf_transformation,[],[f118]) ).
fof(f118,plain,
! [X1,X0] :
( ( aElement0(X0)
& aFunction0(X1) )
=> ! [X2] :
( sdtlbdtrb0(X1,X0) = X2
<=> ( aSet0(X2)
& ! [X3] :
( ( sdtlpdtrp0(X1,X3) = X0
& aElementOf0(X3,szDzozmdt0(X1)) )
<=> aElementOf0(X3,X2) ) ) ) ),
inference(rectify,[],[f66]) ).
fof(f66,axiom,
! [X1,X0] :
( ( aFunction0(X0)
& aElement0(X1) )
=> ! [X2] :
( sdtlbdtrb0(X0,X1) = X2
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElementOf0(X3,szDzozmdt0(X0))
& sdtlpdtrp0(X0,X3) = X1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefPtt) ).
fof(f8631,plain,
( aElementOf0(sK22(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)),sK2),sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ spl25_991 ),
inference(avatar_component_clause,[],[f8629]) ).
fof(f8711,plain,
( ~ spl25_28
| spl25_1004
| ~ spl25_121
| ~ spl25_991 ),
inference(avatar_split_clause,[],[f8692,f8629,f1452,f8708,f713]) ).
fof(f8708,plain,
( spl25_1004
<=> szDzizrdt0(xd) = sdtlpdtrp0(xd,sK22(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)),sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_1004])]) ).
fof(f8692,plain,
( ~ aElement0(szDzizrdt0(xd))
| szDzizrdt0(xd) = sdtlpdtrp0(xd,sK22(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)),sK2))
| ~ aFunction0(xd)
| ~ spl25_991 ),
inference(resolution,[],[f8631,f530]) ).
fof(f530,plain,
! [X0,X1,X4] :
( ~ aElementOf0(X4,sdtlbdtrb0(X0,X1))
| ~ aElement0(X1)
| ~ aFunction0(X0)
| sdtlpdtrp0(X0,X4) = X1 ),
inference(equality_resolution,[],[f372]) ).
fof(f372,plain,
! [X2,X0,X1,X4] :
( sdtlpdtrp0(X0,X4) = X1
| ~ aElementOf0(X4,X2)
| sdtlbdtrb0(X0,X1) != X2
| ~ aElement0(X1)
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f258]) ).
fof(f8706,plain,
( ~ spl25_977
| spl25_1003
| ~ spl25_991 ),
inference(avatar_split_clause,[],[f8695,f8629,f8703,f8542]) ).
fof(f8542,plain,
( spl25_977
<=> aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_977])]) ).
fof(f8703,plain,
( spl25_1003
<=> sdtlbdtrb0(xd,szDzizrdt0(xd)) = sdtpldt0(sdtmndt0(sdtlbdtrb0(xd,szDzizrdt0(xd)),sK22(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)),sK2)),sK22(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)),sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_1003])]) ).
fof(f8695,plain,
( sdtlbdtrb0(xd,szDzizrdt0(xd)) = sdtpldt0(sdtmndt0(sdtlbdtrb0(xd,szDzizrdt0(xd)),sK22(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)),sK2)),sK22(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)),sK2))
| ~ aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ spl25_991 ),
inference(resolution,[],[f8631,f410]) ).
fof(f410,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| sdtpldt0(sdtmndt0(X0,X1),X1) = X0
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f156]) ).
fof(f156,plain,
! [X0] :
( ! [X1] :
( sdtpldt0(sdtmndt0(X0,X1),X1) = X0
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> sdtpldt0(sdtmndt0(X0,X1),X1) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mConsDiff) ).
fof(f8701,plain,
( spl25_1002
| ~ spl25_977
| ~ spl25_991 ),
inference(avatar_split_clause,[],[f8694,f8629,f8542,f8698]) ).
fof(f8698,plain,
( spl25_1002
<=> aElement0(sK22(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)),sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_1002])]) ).
fof(f8694,plain,
( ~ aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
| aElement0(sK22(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)),sK2))
| ~ spl25_991 ),
inference(resolution,[],[f8631,f473]) ).
fof(f473,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| ~ aSet0(X0)
| aElement0(X1) ),
inference(cnf_transformation,[],[f196]) ).
fof(f196,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
fof(f8690,plain,
( spl25_1000
| ~ spl25_1001
| ~ spl25_994
| ~ spl25_65
| ~ spl25_985 ),
inference(avatar_split_clause,[],[f8644,f8585,f974,f8652,f8687,f8683]) ).
fof(f8683,plain,
( spl25_1000
<=> xK = sK22(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_1000])]) ).
fof(f8687,plain,
( spl25_1001
<=> sdtlpdtrp0(xe,xK) = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl25_1001])]) ).
fof(f974,plain,
( spl25_65
<=> ! [X1] :
( xK = X1
| sdtlpdtrp0(xe,X1) != sdtlpdtrp0(xe,xK)
| ~ aElementOf0(X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_65])]) ).
fof(f8585,plain,
( spl25_985
<=> sK2 = sdtlpdtrp0(xe,sK22(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)),sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_985])]) ).
fof(f8644,plain,
( ~ aElementOf0(sK22(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)),sK2),szNzAzT0)
| sdtlpdtrp0(xe,xK) != sK2
| xK = sK22(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)),sK2)
| ~ spl25_65
| ~ spl25_985 ),
inference(superposition,[],[f975,f8587]) ).
fof(f8587,plain,
( sK2 = sdtlpdtrp0(xe,sK22(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)),sK2))
| ~ spl25_985 ),
inference(avatar_component_clause,[],[f8585]) ).
fof(f975,plain,
( ! [X1] :
( sdtlpdtrp0(xe,X1) != sdtlpdtrp0(xe,xK)
| xK = X1
| ~ aElementOf0(X1,szNzAzT0) )
| ~ spl25_65 ),
inference(avatar_component_clause,[],[f974]) ).
fof(f8681,plain,
( ~ spl25_33
| ~ spl25_116
| ~ spl25_994
| spl25_999
| ~ spl25_13
| ~ spl25_286
| ~ spl25_985 ),
inference(avatar_split_clause,[],[f8676,f8585,f2802,f634,f8678,f8652,f1400,f741]) ).
fof(f741,plain,
( spl25_33
<=> aFunction0(xe) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_33])]) ).
fof(f1400,plain,
( spl25_116
<=> aElement0(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_116])]) ).
fof(f8678,plain,
( spl25_999
<=> aElementOf0(sK22(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)),sK2),slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_999])]) ).
fof(f634,plain,
( spl25_13
<=> szNzAzT0 = szDzozmdt0(xe) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_13])]) ).
fof(f2802,plain,
( spl25_286
<=> slcrc0 = sdtlbdtrb0(xe,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_286])]) ).
fof(f8676,plain,
( aElementOf0(sK22(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)),sK2),slcrc0)
| ~ aElementOf0(sK22(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)),sK2),szNzAzT0)
| ~ aElement0(sK2)
| ~ aFunction0(xe)
| ~ spl25_13
| ~ spl25_286
| ~ spl25_985 ),
inference(forward_demodulation,[],[f8675,f636]) ).
fof(f636,plain,
( szNzAzT0 = szDzozmdt0(xe)
| ~ spl25_13 ),
inference(avatar_component_clause,[],[f634]) ).
fof(f8675,plain,
( ~ aElement0(sK2)
| ~ aElementOf0(sK22(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)),sK2),szDzozmdt0(xe))
| ~ aFunction0(xe)
| aElementOf0(sK22(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)),sK2),slcrc0)
| ~ spl25_286
| ~ spl25_985 ),
inference(forward_demodulation,[],[f8649,f2804]) ).
fof(f2804,plain,
( slcrc0 = sdtlbdtrb0(xe,sK2)
| ~ spl25_286 ),
inference(avatar_component_clause,[],[f2802]) ).
fof(f8649,plain,
( ~ aFunction0(xe)
| aElementOf0(sK22(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)),sK2),sdtlbdtrb0(xe,sK2))
| ~ aElementOf0(sK22(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)),sK2),szDzozmdt0(xe))
| ~ aElement0(sK2)
| ~ spl25_985 ),
inference(superposition,[],[f533,f8587]) ).
fof(f533,plain,
! [X0,X4] :
( ~ aElement0(sdtlpdtrp0(X0,X4))
| ~ aElementOf0(X4,szDzozmdt0(X0))
| ~ aFunction0(X0)
| aElementOf0(X4,sdtlbdtrb0(X0,sdtlpdtrp0(X0,X4))) ),
inference(equality_resolution,[],[f532]) ).
fof(f532,plain,
! [X2,X0,X4] :
( aElementOf0(X4,X2)
| ~ aElementOf0(X4,szDzozmdt0(X0))
| sdtlbdtrb0(X0,sdtlpdtrp0(X0,X4)) != X2
| ~ aElement0(sdtlpdtrp0(X0,X4))
| ~ aFunction0(X0) ),
inference(equality_resolution,[],[f370]) ).
fof(f370,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| sdtlpdtrp0(X0,X4) != X1
| ~ aElementOf0(X4,szDzozmdt0(X0))
| sdtlbdtrb0(X0,X1) != X2
| ~ aElement0(X1)
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f258]) ).
fof(f8674,plain,
( ~ spl25_994
| spl25_997
| spl25_998
| ~ spl25_985 ),
inference(avatar_split_clause,[],[f8643,f8585,f8671,f8667,f8652]) ).
fof(f8667,plain,
( spl25_997
<=> aElementOf0(sK2,sdtlpdtrp0(xN,sK22(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)),sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_997])]) ).
fof(f8671,plain,
( spl25_998
<=> slcrc0 = sdtlpdtrp0(xN,sK22(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)),sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_998])]) ).
fof(f8643,plain,
( slcrc0 = sdtlpdtrp0(xN,sK22(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)),sK2))
| aElementOf0(sK2,sdtlpdtrp0(xN,sK22(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)),sK2)))
| ~ aElementOf0(sK22(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)),sK2),szNzAzT0)
| ~ spl25_985 ),
inference(superposition,[],[f1109,f8587]) ).
fof(f1109,plain,
! [X0] :
( aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0))
| slcrc0 = sdtlpdtrp0(xN,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(forward_subsumption_demodulation,[],[f1097,f357]) ).
fof(f357,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| szmzizndt0(sdtlpdtrp0(xN,X0)) = sdtlpdtrp0(xe,X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
( szNzAzT0 = szDzozmdt0(xe)
& aFunction0(xe)
& ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| szmzizndt0(sdtlpdtrp0(xN,X0)) = sdtlpdtrp0(xe,X0) ) ),
inference(ennf_transformation,[],[f91]) ).
fof(f91,axiom,
( ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> szmzizndt0(sdtlpdtrp0(xN,X0)) = sdtlpdtrp0(xe,X0) )
& szNzAzT0 = szDzozmdt0(xe)
& aFunction0(xe) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4660) ).
fof(f1097,plain,
! [X0] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0)
| slcrc0 = sdtlpdtrp0(xN,X0) ),
inference(resolution,[],[f547,f521]) ).
fof(f521,plain,
! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ( isCountable0(sdtlpdtrp0(xN,X0))
& aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) ) ),
inference(ennf_transformation,[],[f82]) ).
fof(f82,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( isCountable0(sdtlpdtrp0(xN,X0))
& aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3671) ).
fof(f547,plain,
! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| aElementOf0(szmzizndt0(X0),X0)
| slcrc0 = X0 ),
inference(equality_resolution,[],[f441]) ).
fof(f441,plain,
! [X0,X1] :
( aElementOf0(X1,X0)
| szmzizndt0(X0) != X1
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(cnf_transformation,[],[f287]) ).
fof(f287,plain,
! [X0] :
( ! [X1] :
( ( ( ! [X2] :
( ~ aElementOf0(X2,X0)
| sdtlseqdt0(X1,X2) )
& aElementOf0(X1,X0) )
| szmzizndt0(X0) != X1 )
& ( szmzizndt0(X0) = X1
| ( aElementOf0(sK11(X0,X1),X0)
& ~ sdtlseqdt0(X1,sK11(X0,X1)) )
| ~ aElementOf0(X1,X0) ) )
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f285,f286]) ).
fof(f286,plain,
! [X0,X1] :
( ? [X3] :
( aElementOf0(X3,X0)
& ~ sdtlseqdt0(X1,X3) )
=> ( aElementOf0(sK11(X0,X1),X0)
& ~ sdtlseqdt0(X1,sK11(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f285,plain,
! [X0] :
( ! [X1] :
( ( ( ! [X2] :
( ~ aElementOf0(X2,X0)
| sdtlseqdt0(X1,X2) )
& aElementOf0(X1,X0) )
| szmzizndt0(X0) != X1 )
& ( szmzizndt0(X0) = X1
| ? [X3] :
( aElementOf0(X3,X0)
& ~ sdtlseqdt0(X1,X3) )
| ~ aElementOf0(X1,X0) ) )
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(rectify,[],[f284]) ).
fof(f284,plain,
! [X0] :
( ! [X1] :
( ( ( ! [X2] :
( ~ aElementOf0(X2,X0)
| sdtlseqdt0(X1,X2) )
& aElementOf0(X1,X0) )
| szmzizndt0(X0) != X1 )
& ( szmzizndt0(X0) = X1
| ? [X2] :
( aElementOf0(X2,X0)
& ~ sdtlseqdt0(X1,X2) )
| ~ aElementOf0(X1,X0) ) )
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(flattening,[],[f283]) ).
fof(f283,plain,
! [X0] :
( ! [X1] :
( ( ( ! [X2] :
( ~ aElementOf0(X2,X0)
| sdtlseqdt0(X1,X2) )
& aElementOf0(X1,X0) )
| szmzizndt0(X0) != X1 )
& ( szmzizndt0(X0) = X1
| ? [X2] :
( aElementOf0(X2,X0)
& ~ sdtlseqdt0(X1,X2) )
| ~ aElementOf0(X1,X0) ) )
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(nnf_transformation,[],[f189]) ).
fof(f189,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( ~ aElementOf0(X2,X0)
| sdtlseqdt0(X1,X2) )
& aElementOf0(X1,X0) )
<=> szmzizndt0(X0) = X1 )
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(flattening,[],[f188]) ).
fof(f188,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( ~ aElementOf0(X2,X0)
| sdtlseqdt0(X1,X2) )
& aElementOf0(X1,X0) )
<=> szmzizndt0(X0) = X1 )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,axiom,
! [X0] :
( ( slcrc0 != X0
& aSubsetOf0(X0,szNzAzT0) )
=> ! [X1] :
( ( ! [X2] :
( aElementOf0(X2,X0)
=> sdtlseqdt0(X1,X2) )
& aElementOf0(X1,X0) )
<=> szmzizndt0(X0) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefMin) ).
fof(f8665,plain,
( ~ spl25_991
| ~ spl25_994
| ~ spl25_985 ),
inference(avatar_split_clause,[],[f8650,f8585,f8652,f8629]) ).
fof(f8650,plain,
( ~ aElementOf0(sK22(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)),sK2),szNzAzT0)
| ~ aElementOf0(sK22(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)),sK2),sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ spl25_985 ),
inference(trivial_inequality_removal,[],[f8648]) ).
fof(f8648,plain,
( ~ aElementOf0(sK22(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)),sK2),szNzAzT0)
| ~ aElementOf0(sK22(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)),sK2),sdtlbdtrb0(xd,szDzizrdt0(xd)))
| sK2 != sK2
| ~ spl25_985 ),
inference(superposition,[],[f351,f8587]) ).
fof(f351,plain,
! [X1] :
( sdtlpdtrp0(xe,X1) != sK2
| ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f250]) ).
fof(f250,plain,
( ! [X1] :
( sdtlpdtrp0(xe,X1) != sK2
| ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ aElementOf0(X1,szNzAzT0) )
& aElementOf0(sK2,xO) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f128,f249]) ).
fof(f249,plain,
( ? [X0] :
( ! [X1] :
( sdtlpdtrp0(xe,X1) != X0
| ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ aElementOf0(X1,szNzAzT0) )
& aElementOf0(X0,xO) )
=> ( ! [X1] :
( sdtlpdtrp0(xe,X1) != sK2
| ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ aElementOf0(X1,szNzAzT0) )
& aElementOf0(sK2,xO) ) ),
introduced(choice_axiom,[]) ).
fof(f128,plain,
? [X0] :
( ! [X1] :
( sdtlpdtrp0(xe,X1) != X0
| ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ aElementOf0(X1,szNzAzT0) )
& aElementOf0(X0,xO) ),
inference(ennf_transformation,[],[f98]) ).
fof(f98,negated_conjecture,
~ ! [X0] :
( aElementOf0(X0,xO)
=> ? [X1] :
( sdtlpdtrp0(xe,X1) = X0
& aElementOf0(X1,szNzAzT0)
& aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ),
inference(negated_conjecture,[],[f97]) ).
fof(f97,conjecture,
! [X0] :
( aElementOf0(X0,xO)
=> ? [X1] :
( sdtlpdtrp0(xe,X1) = X0
& aElementOf0(X1,szNzAzT0)
& aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f8664,plain,
( ~ spl25_994
| spl25_669
| ~ spl25_149
| ~ spl25_985 ),
inference(avatar_split_clause,[],[f8645,f8585,f1604,f6342,f8652]) ).
fof(f6342,plain,
( spl25_669
<=> aElementOf0(sK2,sdtlcdtrc0(xe,szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_669])]) ).
fof(f1604,plain,
( spl25_149
<=> ! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| aElementOf0(sdtlpdtrp0(xe,X2),sdtlcdtrc0(xe,szNzAzT0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_149])]) ).
fof(f8645,plain,
( aElementOf0(sK2,sdtlcdtrc0(xe,szNzAzT0))
| ~ aElementOf0(sK22(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)),sK2),szNzAzT0)
| ~ spl25_149
| ~ spl25_985 ),
inference(superposition,[],[f1605,f8587]) ).
fof(f1605,plain,
( ! [X2] :
( aElementOf0(sdtlpdtrp0(xe,X2),sdtlcdtrc0(xe,szNzAzT0))
| ~ aElementOf0(X2,szNzAzT0) )
| ~ spl25_149 ),
inference(avatar_component_clause,[],[f1604]) ).
fof(f8663,plain,
( ~ spl25_994
| spl25_995
| ~ spl25_996
| ~ spl25_985 ),
inference(avatar_split_clause,[],[f8646,f8585,f8660,f8656,f8652]) ).
fof(f8656,plain,
( spl25_995
<=> aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(sK22(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)),sK2))),sdtmndt0(sdtlpdtrp0(xN,sK22(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)),sK2)),sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_995])]) ).
fof(f8660,plain,
( spl25_996
<=> isCountable0(sdtlpdtrp0(xN,sK22(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)),sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_996])]) ).
fof(f8646,plain,
( ~ isCountable0(sdtlpdtrp0(xN,sK22(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)),sK2)))
| aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(sK22(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)),sK2))),sdtmndt0(sdtlpdtrp0(xN,sK22(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)),sK2)),sK2))
| ~ aElementOf0(sK22(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)),sK2),szNzAzT0)
| ~ spl25_985 ),
inference(superposition,[],[f899,f8587]) ).
fof(f899,plain,
! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xe,X0)))
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(duplicate_literal_removal,[],[f897]) ).
fof(f897,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0)
| aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xe,X0))) ),
inference(resolution,[],[f755,f521]) ).
fof(f755,plain,
! [X0] :
( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xe,X0)))
| ~ aElementOf0(X0,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X0)) ),
inference(forward_subsumption_demodulation,[],[f363,f357]) ).
fof(f363,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
( aFunction0(xN)
& ! [X0] :
( ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X0)) )
& xS = sdtlpdtrp0(xN,sz00)
& szNzAzT0 = szDzozmdt0(xN) ),
inference(flattening,[],[f134]) ).
fof(f134,plain,
( ! [X0] :
( ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
& aFunction0(xN)
& xS = sdtlpdtrp0(xN,sz00)
& szNzAzT0 = szDzozmdt0(xN) ),
inference(ennf_transformation,[],[f81]) ).
fof(f81,axiom,
( ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ( isCountable0(sdtlpdtrp0(xN,X0))
& aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) )
=> ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0))) ) ) )
& aFunction0(xN)
& xS = sdtlpdtrp0(xN,sz00)
& szNzAzT0 = szDzozmdt0(xN) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3623) ).
fof(f8642,plain,
( spl25_993
| ~ spl25_229
| ~ spl25_320 ),
inference(avatar_split_clause,[],[f8626,f3024,f2264,f8639]) ).
fof(f8639,plain,
( spl25_993
<=> aElementOf0(sK22(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)),sK13(xO)),sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_993])]) ).
fof(f2264,plain,
( spl25_229
<=> ! [X0] :
( aElementOf0(sK22(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)),X0),sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ aElementOf0(X0,xO) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_229])]) ).
fof(f3024,plain,
( spl25_320
<=> aElementOf0(sK13(xO),xO) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_320])]) ).
fof(f8626,plain,
( aElementOf0(sK22(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)),sK13(xO)),sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ spl25_229
| ~ spl25_320 ),
inference(resolution,[],[f2265,f3026]) ).
fof(f3026,plain,
( aElementOf0(sK13(xO),xO)
| ~ spl25_320 ),
inference(avatar_component_clause,[],[f3024]) ).
fof(f2265,plain,
( ! [X0] :
( ~ aElementOf0(X0,xO)
| aElementOf0(sK22(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)),X0),sdtlbdtrb0(xd,szDzizrdt0(xd))) )
| ~ spl25_229 ),
inference(avatar_component_clause,[],[f2264]) ).
fof(f8637,plain,
( spl25_992
| ~ spl25_229
| ~ spl25_345 ),
inference(avatar_split_clause,[],[f8625,f3284,f2264,f8634]) ).
fof(f8634,plain,
( spl25_992
<=> aElementOf0(sK22(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)),sK13(sdtmndt0(xO,sK2))),sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_992])]) ).
fof(f3284,plain,
( spl25_345
<=> aElementOf0(sK13(sdtmndt0(xO,sK2)),xO) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_345])]) ).
fof(f8625,plain,
( aElementOf0(sK22(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)),sK13(sdtmndt0(xO,sK2))),sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ spl25_229
| ~ spl25_345 ),
inference(resolution,[],[f2265,f3286]) ).
fof(f3286,plain,
( aElementOf0(sK13(sdtmndt0(xO,sK2)),xO)
| ~ spl25_345 ),
inference(avatar_component_clause,[],[f3284]) ).
fof(f8632,plain,
( spl25_991
| ~ spl25_4
| ~ spl25_229 ),
inference(avatar_split_clause,[],[f8624,f2264,f590,f8629]) ).
fof(f590,plain,
( spl25_4
<=> aElementOf0(sK2,xO) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_4])]) ).
fof(f8624,plain,
( aElementOf0(sK22(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)),sK2),sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ spl25_4
| ~ spl25_229 ),
inference(resolution,[],[f2265,f592]) ).
fof(f592,plain,
( aElementOf0(sK2,xO)
| ~ spl25_4 ),
inference(avatar_component_clause,[],[f590]) ).
fof(f8623,plain,
( ~ spl25_116
| spl25_258
| ~ spl25_988
| ~ spl25_987
| ~ spl25_654 ),
inference(avatar_split_clause,[],[f8594,f6275,f8607,f8611,f2512,f1400]) ).
fof(f2512,plain,
( spl25_258
<=> isFinite0(szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_258])]) ).
fof(f8611,plain,
( spl25_988
<=> aSet0(sdtpldt0(szNzAzT0,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_988])]) ).
fof(f8607,plain,
( spl25_987
<=> isFinite0(sdtpldt0(szNzAzT0,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_987])]) ).
fof(f6275,plain,
( spl25_654
<=> szNzAzT0 = sdtmndt0(sdtpldt0(szNzAzT0,sK2),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_654])]) ).
fof(f8594,plain,
( ~ isFinite0(sdtpldt0(szNzAzT0,sK2))
| ~ aSet0(sdtpldt0(szNzAzT0,sK2))
| isFinite0(szNzAzT0)
| ~ aElement0(sK2)
| ~ spl25_654 ),
inference(superposition,[],[f382,f6277]) ).
fof(f6277,plain,
( szNzAzT0 = sdtmndt0(sdtpldt0(szNzAzT0,sK2),sK2)
| ~ spl25_654 ),
inference(avatar_component_clause,[],[f6275]) ).
fof(f382,plain,
! [X0,X1] :
( isFinite0(sdtmndt0(X1,X0))
| ~ aElement0(X0)
| ~ isFinite0(X1)
| ~ aSet0(X1) ),
inference(cnf_transformation,[],[f218]) ).
fof(f218,plain,
! [X0] :
( ~ aElement0(X0)
| ! [X1] :
( ~ aSet0(X1)
| isFinite0(sdtmndt0(X1,X0))
| ~ isFinite0(X1) ) ),
inference(flattening,[],[f217]) ).
fof(f217,plain,
! [X0] :
( ! [X1] :
( isFinite0(sdtmndt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] :
( aElement0(X0)
=> ! [X1] :
( ( isFinite0(X1)
& aSet0(X1) )
=> isFinite0(sdtmndt0(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mFDiffSet) ).
fof(f8622,plain,
( ~ spl25_116
| ~ spl25_988
| spl25_990
| ~ spl25_654 ),
inference(avatar_split_clause,[],[f8599,f6275,f8620,f8611,f1400]) ).
fof(f8620,plain,
( spl25_990
<=> ! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(X1,sdtpldt0(szNzAzT0,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_990])]) ).
fof(f8599,plain,
( ! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(X1,sdtpldt0(szNzAzT0,sK2))
| ~ aSet0(sdtpldt0(szNzAzT0,sK2))
| ~ aElement0(sK2) )
| ~ spl25_654 ),
inference(superposition,[],[f552,f6277]) ).
fof(f552,plain,
! [X0,X1,X4] :
( ~ aElementOf0(X4,sdtmndt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0)
| aElementOf0(X4,X0) ),
inference(equality_resolution,[],[f447]) ).
fof(f447,plain,
! [X2,X0,X1,X4] :
( ~ aElement0(X1)
| ~ aSet0(X0)
| aElementOf0(X4,X0)
| ~ aElementOf0(X4,X2)
| sdtmndt0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f294]) ).
fof(f294,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aSet0(X0)
| ! [X2] :
( ( sdtmndt0(X0,X1) = X2
| ~ aSet0(X2)
| ( ( ~ aElementOf0(sK12(X0,X1,X2),X2)
| ~ aElement0(sK12(X0,X1,X2))
| sK12(X0,X1,X2) = X1
| ~ aElementOf0(sK12(X0,X1,X2),X0) )
& ( aElementOf0(sK12(X0,X1,X2),X2)
| ( aElement0(sK12(X0,X1,X2))
& sK12(X0,X1,X2) != X1
& aElementOf0(sK12(X0,X1,X2),X0) ) ) ) )
& ( ( aSet0(X2)
& ! [X4] :
( ( ( aElement0(X4)
& X1 != X4
& aElementOf0(X4,X0) )
| ~ aElementOf0(X4,X2) )
& ( aElementOf0(X4,X2)
| ~ aElement0(X4)
| X1 = X4
| ~ aElementOf0(X4,X0) ) ) )
| sdtmndt0(X0,X1) != X2 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f292,f293]) ).
fof(f293,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ~ aElementOf0(X3,X2)
| ~ aElement0(X3)
| X1 = X3
| ~ aElementOf0(X3,X0) )
& ( aElementOf0(X3,X2)
| ( aElement0(X3)
& X1 != X3
& aElementOf0(X3,X0) ) ) )
=> ( ( ~ aElementOf0(sK12(X0,X1,X2),X2)
| ~ aElement0(sK12(X0,X1,X2))
| sK12(X0,X1,X2) = X1
| ~ aElementOf0(sK12(X0,X1,X2),X0) )
& ( aElementOf0(sK12(X0,X1,X2),X2)
| ( aElement0(sK12(X0,X1,X2))
& sK12(X0,X1,X2) != X1
& aElementOf0(sK12(X0,X1,X2),X0) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f292,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aSet0(X0)
| ! [X2] :
( ( sdtmndt0(X0,X1) = X2
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aElementOf0(X3,X2)
| ~ aElement0(X3)
| X1 = X3
| ~ aElementOf0(X3,X0) )
& ( aElementOf0(X3,X2)
| ( aElement0(X3)
& X1 != X3
& aElementOf0(X3,X0) ) ) ) )
& ( ( aSet0(X2)
& ! [X4] :
( ( ( aElement0(X4)
& X1 != X4
& aElementOf0(X4,X0) )
| ~ aElementOf0(X4,X2) )
& ( aElementOf0(X4,X2)
| ~ aElement0(X4)
| X1 = X4
| ~ aElementOf0(X4,X0) ) ) )
| sdtmndt0(X0,X1) != X2 ) ) ),
inference(rectify,[],[f291]) ).
fof(f291,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aSet0(X0)
| ! [X2] :
( ( sdtmndt0(X0,X1) = X2
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aElementOf0(X3,X2)
| ~ aElement0(X3)
| X1 = X3
| ~ aElementOf0(X3,X0) )
& ( aElementOf0(X3,X2)
| ( aElement0(X3)
& X1 != X3
& aElementOf0(X3,X0) ) ) ) )
& ( ( aSet0(X2)
& ! [X3] :
( ( ( aElement0(X3)
& X1 != X3
& aElementOf0(X3,X0) )
| ~ aElementOf0(X3,X2) )
& ( aElementOf0(X3,X2)
| ~ aElement0(X3)
| X1 = X3
| ~ aElementOf0(X3,X0) ) ) )
| sdtmndt0(X0,X1) != X2 ) ) ),
inference(flattening,[],[f290]) ).
fof(f290,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aSet0(X0)
| ! [X2] :
( ( sdtmndt0(X0,X1) = X2
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aElementOf0(X3,X2)
| ~ aElement0(X3)
| X1 = X3
| ~ aElementOf0(X3,X0) )
& ( aElementOf0(X3,X2)
| ( aElement0(X3)
& X1 != X3
& aElementOf0(X3,X0) ) ) ) )
& ( ( aSet0(X2)
& ! [X3] :
( ( ( aElement0(X3)
& X1 != X3
& aElementOf0(X3,X0) )
| ~ aElementOf0(X3,X2) )
& ( aElementOf0(X3,X2)
| ~ aElement0(X3)
| X1 = X3
| ~ aElementOf0(X3,X0) ) ) )
| sdtmndt0(X0,X1) != X2 ) ) ),
inference(nnf_transformation,[],[f232]) ).
fof(f232,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aSet0(X0)
| ! [X2] :
( sdtmndt0(X0,X1) = X2
<=> ( aSet0(X2)
& ! [X3] :
( ( aElement0(X3)
& X1 != X3
& aElementOf0(X3,X0) )
<=> aElementOf0(X3,X2) ) ) ) ),
inference(flattening,[],[f231]) ).
fof(f231,plain,
! [X1,X0] :
( ! [X2] :
( sdtmndt0(X0,X1) = X2
<=> ( aSet0(X2)
& ! [X3] :
( ( aElement0(X3)
& X1 != X3
& aElementOf0(X3,X0) )
<=> aElementOf0(X3,X2) ) ) )
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X1,X0] :
( ( aSet0(X0)
& aElement0(X1) )
=> ! [X2] :
( sdtmndt0(X0,X1) = X2
<=> ( aSet0(X2)
& ! [X3] :
( ( aElement0(X3)
& X1 != X3
& aElementOf0(X3,X0) )
<=> aElementOf0(X3,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiff) ).
fof(f8618,plain,
( ~ spl25_6
| ~ spl25_116
| ~ spl25_987
| ~ spl25_14
| ~ spl25_988
| ~ spl25_654 ),
inference(avatar_split_clause,[],[f8602,f6275,f8611,f639,f8607,f1400,f600]) ).
fof(f600,plain,
( spl25_6
<=> isCountable0(szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_6])]) ).
fof(f639,plain,
( spl25_14
<=> aSet0(szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_14])]) ).
fof(f8602,plain,
( ~ aSet0(sdtpldt0(szNzAzT0,sK2))
| ~ aSet0(szNzAzT0)
| ~ isFinite0(sdtpldt0(szNzAzT0,sK2))
| ~ aElement0(sK2)
| ~ isCountable0(szNzAzT0)
| ~ spl25_654 ),
inference(superposition,[],[f1079,f6277]) ).
fof(f1079,plain,
! [X3,X4] :
( ~ isCountable0(sdtmndt0(X4,X3))
| ~ aSet0(X4)
| ~ isFinite0(X4)
| ~ aSet0(sdtmndt0(X4,X3))
| ~ aElement0(X3) ),
inference(resolution,[],[f382,f342]) ).
fof(f342,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f203]) ).
fof(f203,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f202]) ).
fof(f202,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| ~ isCountable0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( ( aSet0(X0)
& isCountable0(X0) )
=> ~ isFinite0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCountNFin) ).
fof(f8617,plain,
( ~ spl25_987
| ~ spl25_14
| ~ spl25_988
| spl25_989
| ~ spl25_116
| ~ spl25_654 ),
inference(avatar_split_clause,[],[f8601,f6275,f1400,f8615,f8611,f639,f8607]) ).
fof(f8615,plain,
( spl25_989
<=> ! [X3] :
( isFinite0(X3)
| ~ aSubsetOf0(X3,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_989])]) ).
fof(f8601,plain,
( ! [X3] :
( ~ aElement0(sK2)
| isFinite0(X3)
| ~ aSet0(sdtpldt0(szNzAzT0,sK2))
| ~ aSet0(szNzAzT0)
| ~ isFinite0(sdtpldt0(szNzAzT0,sK2))
| ~ aSubsetOf0(X3,szNzAzT0) )
| ~ spl25_654 ),
inference(superposition,[],[f1078,f6277]) ).
fof(f1078,plain,
! [X2,X0,X1] :
( ~ aSet0(sdtmndt0(X1,X0))
| ~ aElement0(X0)
| ~ aSubsetOf0(X2,sdtmndt0(X1,X0))
| ~ aSet0(X1)
| ~ isFinite0(X1)
| isFinite0(X2) ),
inference(resolution,[],[f382,f468]) ).
fof(f468,plain,
! [X0,X1] :
( ~ isFinite0(X0)
| isFinite0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f195]) ).
fof(f195,plain,
! [X0] :
( ~ aSet0(X0)
| ~ isFinite0(X0)
| ! [X1] :
( isFinite0(X1)
| ~ aSubsetOf0(X1,X0) ) ),
inference(flattening,[],[f194]) ).
fof(f194,plain,
! [X0] :
( ! [X1] :
( isFinite0(X1)
| ~ aSubsetOf0(X1,X0) )
| ~ aSet0(X0)
| ~ isFinite0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] :
( ( aSet0(X0)
& isFinite0(X0) )
=> ! [X1] :
( aSubsetOf0(X1,X0)
=> isFinite0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubFSet) ).
fof(f8593,plain,
( spl25_986
| ~ spl25_320
| ~ spl25_976 ),
inference(avatar_split_clause,[],[f8577,f8519,f3024,f8590]) ).
fof(f8590,plain,
( spl25_986
<=> sK13(xO) = sdtlpdtrp0(xe,sK22(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)),sK13(xO))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_986])]) ).
fof(f8519,plain,
( spl25_976
<=> ! [X0] :
( ~ aElementOf0(X0,xO)
| sdtlpdtrp0(xe,sK22(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)),X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_976])]) ).
fof(f8577,plain,
( sK13(xO) = sdtlpdtrp0(xe,sK22(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)),sK13(xO)))
| ~ spl25_320
| ~ spl25_976 ),
inference(resolution,[],[f8520,f3026]) ).
fof(f8520,plain,
( ! [X0] :
( ~ aElementOf0(X0,xO)
| sdtlpdtrp0(xe,sK22(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)),X0)) = X0 )
| ~ spl25_976 ),
inference(avatar_component_clause,[],[f8519]) ).
fof(f8588,plain,
( spl25_985
| ~ spl25_4
| ~ spl25_976 ),
inference(avatar_split_clause,[],[f8575,f8519,f590,f8585]) ).
fof(f8575,plain,
( sK2 = sdtlpdtrp0(xe,sK22(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)),sK2))
| ~ spl25_4
| ~ spl25_976 ),
inference(resolution,[],[f8520,f592]) ).
fof(f8583,plain,
( spl25_984
| ~ spl25_345
| ~ spl25_976 ),
inference(avatar_split_clause,[],[f8576,f8519,f3284,f8580]) ).
fof(f8580,plain,
( spl25_984
<=> sdtlpdtrp0(xe,sK22(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)),sK13(sdtmndt0(xO,sK2)))) = sK13(sdtmndt0(xO,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_984])]) ).
fof(f8576,plain,
( sdtlpdtrp0(xe,sK22(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)),sK13(sdtmndt0(xO,sK2)))) = sK13(sdtmndt0(xO,sK2))
| ~ spl25_345
| ~ spl25_976 ),
inference(resolution,[],[f8520,f3286]) ).
fof(f8574,plain,
( spl25_979
| spl25_983
| ~ spl25_230 ),
inference(avatar_split_clause,[],[f8528,f2267,f8572,f8551]) ).
fof(f8551,plain,
( spl25_979
<=> slcrc0 = sdtlbdtrb0(xd,szDzizrdt0(xd)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_979])]) ).
fof(f8572,plain,
( spl25_983
<=> ! [X1] :
( aElementOf0(sK11(sdtlbdtrb0(xd,szDzizrdt0(xd)),X1),sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| szmzizndt0(sdtlbdtrb0(xd,szDzizrdt0(xd))) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_983])]) ).
fof(f2267,plain,
( spl25_230
<=> aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_230])]) ).
fof(f8528,plain,
( ! [X1] :
( aElementOf0(sK11(sdtlbdtrb0(xd,szDzizrdt0(xd)),X1),sdtlbdtrb0(xd,szDzizrdt0(xd)))
| szmzizndt0(sdtlbdtrb0(xd,szDzizrdt0(xd))) = X1
| slcrc0 = sdtlbdtrb0(xd,szDzizrdt0(xd))
| ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
| ~ spl25_230 ),
inference(resolution,[],[f2268,f440]) ).
fof(f440,plain,
! [X0,X1] :
( ~ aSubsetOf0(X0,szNzAzT0)
| szmzizndt0(X0) = X1
| ~ aElementOf0(X1,X0)
| aElementOf0(sK11(X0,X1),X0)
| slcrc0 = X0 ),
inference(cnf_transformation,[],[f287]) ).
fof(f2268,plain,
( aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szNzAzT0)
| ~ spl25_230 ),
inference(avatar_component_clause,[],[f2267]) ).
fof(f8570,plain,
( spl25_979
| ~ spl25_980
| spl25_982
| ~ spl25_230 ),
inference(avatar_split_clause,[],[f8529,f2267,f8567,f8558,f8551]) ).
fof(f8558,plain,
( spl25_980
<=> isFinite0(sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_980])]) ).
fof(f8567,plain,
( spl25_982
<=> aElementOf0(szmzazxdt0(sdtlbdtrb0(xd,szDzizrdt0(xd))),sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_982])]) ).
fof(f8529,plain,
( aElementOf0(szmzazxdt0(sdtlbdtrb0(xd,szDzizrdt0(xd))),sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ isFinite0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
| slcrc0 = sdtlbdtrb0(xd,szDzizrdt0(xd))
| ~ spl25_230 ),
inference(resolution,[],[f2268,f528]) ).
fof(f528,plain,
! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| aElementOf0(szmzazxdt0(X0),X0)
| slcrc0 = X0
| ~ isFinite0(X0) ),
inference(equality_resolution,[],[f338]) ).
fof(f338,plain,
! [X0,X1] :
( ~ aSubsetOf0(X0,szNzAzT0)
| ~ isFinite0(X0)
| slcrc0 = X0
| aElementOf0(X1,X0)
| szmzazxdt0(X0) != X1 ),
inference(cnf_transformation,[],[f246]) ).
fof(f246,plain,
! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| ~ isFinite0(X0)
| slcrc0 = X0
| ! [X1] :
( ( ( ! [X2] :
( sdtlseqdt0(X2,X1)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) )
| szmzazxdt0(X0) != X1 )
& ( szmzazxdt0(X0) = X1
| ( ~ sdtlseqdt0(sK0(X0,X1),X1)
& aElementOf0(sK0(X0,X1),X0) )
| ~ aElementOf0(X1,X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f244,f245]) ).
fof(f245,plain,
! [X0,X1] :
( ? [X3] :
( ~ sdtlseqdt0(X3,X1)
& aElementOf0(X3,X0) )
=> ( ~ sdtlseqdt0(sK0(X0,X1),X1)
& aElementOf0(sK0(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f244,plain,
! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| ~ isFinite0(X0)
| slcrc0 = X0
| ! [X1] :
( ( ( ! [X2] :
( sdtlseqdt0(X2,X1)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) )
| szmzazxdt0(X0) != X1 )
& ( szmzazxdt0(X0) = X1
| ? [X3] :
( ~ sdtlseqdt0(X3,X1)
& aElementOf0(X3,X0) )
| ~ aElementOf0(X1,X0) ) ) ),
inference(rectify,[],[f243]) ).
fof(f243,plain,
! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| ~ isFinite0(X0)
| slcrc0 = X0
| ! [X1] :
( ( ( ! [X2] :
( sdtlseqdt0(X2,X1)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) )
| szmzazxdt0(X0) != X1 )
& ( szmzazxdt0(X0) = X1
| ? [X2] :
( ~ sdtlseqdt0(X2,X1)
& aElementOf0(X2,X0) )
| ~ aElementOf0(X1,X0) ) ) ),
inference(flattening,[],[f242]) ).
fof(f242,plain,
! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| ~ isFinite0(X0)
| slcrc0 = X0
| ! [X1] :
( ( ( ! [X2] :
( sdtlseqdt0(X2,X1)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) )
| szmzazxdt0(X0) != X1 )
& ( szmzazxdt0(X0) = X1
| ? [X2] :
( ~ sdtlseqdt0(X2,X1)
& aElementOf0(X2,X0) )
| ~ aElementOf0(X1,X0) ) ) ),
inference(nnf_transformation,[],[f153]) ).
fof(f153,plain,
! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| ~ isFinite0(X0)
| slcrc0 = X0
| ! [X1] :
( ( ! [X2] :
( sdtlseqdt0(X2,X1)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) )
<=> szmzazxdt0(X0) = X1 ) ),
inference(flattening,[],[f152]) ).
fof(f152,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( sdtlseqdt0(X2,X1)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) )
<=> szmzazxdt0(X0) = X1 )
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,axiom,
! [X0] :
( ( slcrc0 != X0
& isFinite0(X0)
& aSubsetOf0(X0,szNzAzT0) )
=> ! [X1] :
( szmzazxdt0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X0)
=> sdtlseqdt0(X2,X1) )
& aElementOf0(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefMax) ).
fof(f8564,plain,
( ~ spl25_980
| spl25_981
| spl25_979
| ~ spl25_230 ),
inference(avatar_split_clause,[],[f8527,f2267,f8551,f8562,f8558]) ).
fof(f8562,plain,
( spl25_981
<=> ! [X0] :
( szmzazxdt0(sdtlbdtrb0(xd,szDzizrdt0(xd))) = X0
| aElementOf0(sK0(sdtlbdtrb0(xd,szDzizrdt0(xd)),X0),sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_981])]) ).
fof(f8527,plain,
( ! [X0] :
( slcrc0 = sdtlbdtrb0(xd,szDzizrdt0(xd))
| szmzazxdt0(sdtlbdtrb0(xd,szDzizrdt0(xd))) = X0
| ~ isFinite0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| aElementOf0(sK0(sdtlbdtrb0(xd,szDzizrdt0(xd)),X0),sdtlbdtrb0(xd,szDzizrdt0(xd))) )
| ~ spl25_230 ),
inference(resolution,[],[f2268,f336]) ).
fof(f336,plain,
! [X0,X1] :
( ~ aSubsetOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| aElementOf0(sK0(X0,X1),X0)
| szmzazxdt0(X0) = X1
| ~ isFinite0(X0) ),
inference(cnf_transformation,[],[f246]) ).
fof(f8554,plain,
( spl25_978
| spl25_979
| ~ spl25_230 ),
inference(avatar_split_clause,[],[f8530,f2267,f8551,f8547]) ).
fof(f8547,plain,
( spl25_978
<=> aElementOf0(szmzizndt0(sdtlbdtrb0(xd,szDzizrdt0(xd))),sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_978])]) ).
fof(f8530,plain,
( slcrc0 = sdtlbdtrb0(xd,szDzizrdt0(xd))
| aElementOf0(szmzizndt0(sdtlbdtrb0(xd,szDzizrdt0(xd))),sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ spl25_230 ),
inference(resolution,[],[f2268,f547]) ).
fof(f8545,plain,
( spl25_977
| ~ spl25_14
| ~ spl25_230 ),
inference(avatar_split_clause,[],[f8531,f2267,f639,f8542]) ).
fof(f8531,plain,
( aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ spl25_14
| ~ spl25_230 ),
inference(resolution,[],[f2268,f949]) ).
fof(f949,plain,
( ! [X1] :
( ~ aSubsetOf0(X1,szNzAzT0)
| aSet0(X1) )
| ~ spl25_14 ),
inference(resolution,[],[f486,f641]) ).
fof(f641,plain,
( aSet0(szNzAzT0)
| ~ spl25_14 ),
inference(avatar_component_clause,[],[f639]) ).
fof(f486,plain,
! [X0,X1] :
( ~ aSet0(X0)
| ~ aSubsetOf0(X1,X0)
| aSet0(X1) ),
inference(cnf_transformation,[],[f312]) ).
fof(f312,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ( aElementOf0(sK16(X0,X1),X1)
& ~ aElementOf0(sK16(X0,X1),X0) ) )
& ( ( aSet0(X1)
& ! [X3] :
( ~ aElementOf0(X3,X1)
| aElementOf0(X3,X0) ) )
| ~ aSubsetOf0(X1,X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f310,f311]) ).
fof(f311,plain,
! [X0,X1] :
( ? [X2] :
( aElementOf0(X2,X1)
& ~ aElementOf0(X2,X0) )
=> ( aElementOf0(sK16(X0,X1),X1)
& ~ aElementOf0(sK16(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f310,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ? [X2] :
( aElementOf0(X2,X1)
& ~ aElementOf0(X2,X0) ) )
& ( ( aSet0(X1)
& ! [X3] :
( ~ aElementOf0(X3,X1)
| aElementOf0(X3,X0) ) )
| ~ aSubsetOf0(X1,X0) ) ) ),
inference(rectify,[],[f309]) ).
fof(f309,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ? [X2] :
( aElementOf0(X2,X1)
& ~ aElementOf0(X2,X0) ) )
& ( ( aSet0(X1)
& ! [X2] :
( ~ aElementOf0(X2,X1)
| aElementOf0(X2,X0) ) )
| ~ aSubsetOf0(X1,X0) ) ) ),
inference(flattening,[],[f308]) ).
fof(f308,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ? [X2] :
( aElementOf0(X2,X1)
& ~ aElementOf0(X2,X0) ) )
& ( ( aSet0(X1)
& ! [X2] :
( ~ aElementOf0(X2,X1)
| aElementOf0(X2,X0) ) )
| ~ aSubsetOf0(X1,X0) ) ) ),
inference(nnf_transformation,[],[f151]) ).
fof(f151,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( ~ aElementOf0(X2,X1)
| aElementOf0(X2,X0) ) ) ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSub) ).
fof(f8521,plain,
( ~ spl25_33
| ~ spl25_230
| spl25_976
| ~ spl25_13
| ~ spl25_23 ),
inference(avatar_split_clause,[],[f2388,f686,f634,f8519,f2267,f741]) ).
fof(f686,plain,
( spl25_23
<=> xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_23])]) ).
fof(f2388,plain,
( ! [X0] :
( ~ aElementOf0(X0,xO)
| ~ aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szNzAzT0)
| ~ aFunction0(xe)
| sdtlpdtrp0(xe,sK22(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)),X0)) = X0 )
| ~ spl25_13
| ~ spl25_23 ),
inference(forward_demodulation,[],[f2387,f636]) ).
fof(f2387,plain,
( ! [X0] :
( ~ aElementOf0(X0,xO)
| ~ aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szDzozmdt0(xe))
| sdtlpdtrp0(xe,sK22(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)),X0)) = X0
| ~ aFunction0(xe) )
| ~ spl25_23 ),
inference(superposition,[],[f570,f688]) ).
fof(f688,plain,
( xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ spl25_23 ),
inference(avatar_component_clause,[],[f686]) ).
fof(f570,plain,
! [X0,X1,X6] :
( ~ aElementOf0(X6,sdtlcdtrc0(X0,X1))
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| sdtlpdtrp0(X0,sK22(X0,X1,X6)) = X6
| ~ aFunction0(X0) ),
inference(equality_resolution,[],[f508]) ).
fof(f508,plain,
! [X2,X0,X1,X6] :
( sdtlpdtrp0(X0,sK22(X0,X1,X6)) = X6
| ~ aElementOf0(X6,X2)
| sdtlcdtrc0(X0,X1) != X2
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f331]) ).
fof(f331,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( sdtlcdtrc0(X0,X1) = X2
| ~ aSet0(X2)
| ( ( ! [X4] :
( sdtlpdtrp0(X0,X4) != sK20(X0,X1,X2)
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(sK20(X0,X1,X2),X2) )
& ( ( sdtlpdtrp0(X0,sK21(X0,X1,X2)) = sK20(X0,X1,X2)
& aElementOf0(sK21(X0,X1,X2),X1) )
| aElementOf0(sK20(X0,X1,X2),X2) ) ) )
& ( ( aSet0(X2)
& ! [X6] :
( ( aElementOf0(X6,X2)
| ! [X7] :
( sdtlpdtrp0(X0,X7) != X6
| ~ aElementOf0(X7,X1) ) )
& ( ( sdtlpdtrp0(X0,sK22(X0,X1,X6)) = X6
& aElementOf0(sK22(X0,X1,X6),X1) )
| ~ aElementOf0(X6,X2) ) ) )
| sdtlcdtrc0(X0,X1) != X2 ) )
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21,sK22])],[f327,f330,f329,f328]) ).
fof(f328,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ! [X4] :
( sdtlpdtrp0(X0,X4) != X3
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(X3,X2) )
& ( ? [X5] :
( sdtlpdtrp0(X0,X5) = X3
& aElementOf0(X5,X1) )
| aElementOf0(X3,X2) ) )
=> ( ( ! [X4] :
( sdtlpdtrp0(X0,X4) != sK20(X0,X1,X2)
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(sK20(X0,X1,X2),X2) )
& ( ? [X5] :
( sK20(X0,X1,X2) = sdtlpdtrp0(X0,X5)
& aElementOf0(X5,X1) )
| aElementOf0(sK20(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f329,plain,
! [X0,X1,X2] :
( ? [X5] :
( sK20(X0,X1,X2) = sdtlpdtrp0(X0,X5)
& aElementOf0(X5,X1) )
=> ( sdtlpdtrp0(X0,sK21(X0,X1,X2)) = sK20(X0,X1,X2)
& aElementOf0(sK21(X0,X1,X2),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f330,plain,
! [X0,X1,X6] :
( ? [X8] :
( sdtlpdtrp0(X0,X8) = X6
& aElementOf0(X8,X1) )
=> ( sdtlpdtrp0(X0,sK22(X0,X1,X6)) = X6
& aElementOf0(sK22(X0,X1,X6),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f327,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( sdtlcdtrc0(X0,X1) = X2
| ~ aSet0(X2)
| ? [X3] :
( ( ! [X4] :
( sdtlpdtrp0(X0,X4) != X3
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(X3,X2) )
& ( ? [X5] :
( sdtlpdtrp0(X0,X5) = X3
& aElementOf0(X5,X1) )
| aElementOf0(X3,X2) ) ) )
& ( ( aSet0(X2)
& ! [X6] :
( ( aElementOf0(X6,X2)
| ! [X7] :
( sdtlpdtrp0(X0,X7) != X6
| ~ aElementOf0(X7,X1) ) )
& ( ? [X8] :
( sdtlpdtrp0(X0,X8) = X6
& aElementOf0(X8,X1) )
| ~ aElementOf0(X6,X2) ) ) )
| sdtlcdtrc0(X0,X1) != X2 ) )
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(rectify,[],[f326]) ).
fof(f326,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( sdtlcdtrc0(X0,X1) = X2
| ~ aSet0(X2)
| ? [X3] :
( ( ! [X4] :
( sdtlpdtrp0(X0,X4) != X3
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(X3,X2) )
& ( ? [X4] :
( sdtlpdtrp0(X0,X4) = X3
& aElementOf0(X4,X1) )
| aElementOf0(X3,X2) ) ) )
& ( ( aSet0(X2)
& ! [X3] :
( ( aElementOf0(X3,X2)
| ! [X4] :
( sdtlpdtrp0(X0,X4) != X3
| ~ aElementOf0(X4,X1) ) )
& ( ? [X4] :
( sdtlpdtrp0(X0,X4) = X3
& aElementOf0(X4,X1) )
| ~ aElementOf0(X3,X2) ) ) )
| sdtlcdtrc0(X0,X1) != X2 ) )
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(flattening,[],[f325]) ).
fof(f325,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( sdtlcdtrc0(X0,X1) = X2
| ~ aSet0(X2)
| ? [X3] :
( ( ! [X4] :
( sdtlpdtrp0(X0,X4) != X3
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(X3,X2) )
& ( ? [X4] :
( sdtlpdtrp0(X0,X4) = X3
& aElementOf0(X4,X1) )
| aElementOf0(X3,X2) ) ) )
& ( ( aSet0(X2)
& ! [X3] :
( ( aElementOf0(X3,X2)
| ! [X4] :
( sdtlpdtrp0(X0,X4) != X3
| ~ aElementOf0(X4,X1) ) )
& ( ? [X4] :
( sdtlpdtrp0(X0,X4) = X3
& aElementOf0(X4,X1) )
| ~ aElementOf0(X3,X2) ) ) )
| sdtlcdtrc0(X0,X1) != X2 ) )
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(nnf_transformation,[],[f150]) ).
fof(f150,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( sdtlcdtrc0(X0,X1) = X2
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4] :
( sdtlpdtrp0(X0,X4) = X3
& aElementOf0(X4,X1) ) ) ) )
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f68]) ).
fof(f68,axiom,
! [X0] :
( aFunction0(X0)
=> ! [X1] :
( aSubsetOf0(X1,szDzozmdt0(X0))
=> ! [X2] :
( sdtlcdtrc0(X0,X1) = X2
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4] :
( sdtlpdtrp0(X0,X4) = X3
& aElementOf0(X4,X1) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSImg) ).
fof(f8517,plain,
( spl25_975
| ~ spl25_121
| ~ spl25_917 ),
inference(avatar_split_clause,[],[f8482,f8078,f1452,f8514]) ).
fof(f8514,plain,
( spl25_975
<=> aSubsetOf0(sdtlbdtrb0(sdtlpdtrp0(xC,xK),szDzizrdt0(xd)),szDzozmdt0(sdtlpdtrp0(xC,xK))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_975])]) ).
fof(f8078,plain,
( spl25_917
<=> aFunction0(sdtlpdtrp0(xC,xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_917])]) ).
fof(f8482,plain,
( aSubsetOf0(sdtlbdtrb0(sdtlpdtrp0(xC,xK),szDzizrdt0(xd)),szDzozmdt0(sdtlpdtrp0(xC,xK)))
| ~ spl25_121
| ~ spl25_917 ),
inference(resolution,[],[f1583,f8079]) ).
fof(f8079,plain,
( aFunction0(sdtlpdtrp0(xC,xK))
| ~ spl25_917 ),
inference(avatar_component_clause,[],[f8078]) ).
fof(f1583,plain,
( ! [X0] :
( ~ aFunction0(X0)
| aSubsetOf0(sdtlbdtrb0(X0,szDzizrdt0(xd)),szDzozmdt0(X0)) )
| ~ spl25_121 ),
inference(resolution,[],[f1454,f425]) ).
fof(f425,plain,
! [X0,X1] :
( ~ aElement0(X0)
| aSubsetOf0(sdtlbdtrb0(X1,X0),szDzozmdt0(X1))
| ~ aFunction0(X1) ),
inference(cnf_transformation,[],[f211]) ).
fof(f211,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aFunction0(X1)
| aSubsetOf0(sdtlbdtrb0(X1,X0),szDzozmdt0(X1)) ),
inference(flattening,[],[f210]) ).
fof(f210,plain,
! [X1,X0] :
( aSubsetOf0(sdtlbdtrb0(X1,X0),szDzozmdt0(X1))
| ~ aElement0(X0)
| ~ aFunction0(X1) ),
inference(ennf_transformation,[],[f106]) ).
fof(f106,plain,
! [X1,X0] :
( ( aElement0(X0)
& aFunction0(X1) )
=> aSubsetOf0(sdtlbdtrb0(X1,X0),szDzozmdt0(X1)) ),
inference(rectify,[],[f67]) ).
fof(f67,axiom,
! [X1,X0] :
( ( aFunction0(X0)
& aElement0(X1) )
=> aSubsetOf0(sdtlbdtrb0(X0,X1),szDzozmdt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mPttSet) ).
fof(f1454,plain,
( aElement0(szDzizrdt0(xd))
| ~ spl25_121 ),
inference(avatar_component_clause,[],[f1452]) ).
fof(f8512,plain,
( spl25_974
| ~ spl25_13
| ~ spl25_33
| ~ spl25_121 ),
inference(avatar_split_clause,[],[f8507,f1452,f741,f634,f8509]) ).
fof(f8509,plain,
( spl25_974
<=> aSubsetOf0(sdtlbdtrb0(xe,szDzizrdt0(xd)),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_974])]) ).
fof(f8507,plain,
( aSubsetOf0(sdtlbdtrb0(xe,szDzizrdt0(xd)),szNzAzT0)
| ~ spl25_13
| ~ spl25_33
| ~ spl25_121 ),
inference(forward_demodulation,[],[f8486,f636]) ).
fof(f8486,plain,
( aSubsetOf0(sdtlbdtrb0(xe,szDzizrdt0(xd)),szDzozmdt0(xe))
| ~ spl25_33
| ~ spl25_121 ),
inference(resolution,[],[f1583,f743]) ).
fof(f743,plain,
( aFunction0(xe)
| ~ spl25_33 ),
inference(avatar_component_clause,[],[f741]) ).
fof(f8506,plain,
( spl25_973
| ~ spl25_17
| ~ spl25_31
| ~ spl25_121 ),
inference(avatar_split_clause,[],[f8501,f1452,f729,f654,f8503]) ).
fof(f8503,plain,
( spl25_973
<=> aSubsetOf0(sdtlbdtrb0(xC,szDzizrdt0(xd)),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_973])]) ).
fof(f654,plain,
( spl25_17
<=> szNzAzT0 = szDzozmdt0(xC) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_17])]) ).
fof(f729,plain,
( spl25_31
<=> aFunction0(xC) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_31])]) ).
fof(f8501,plain,
( aSubsetOf0(sdtlbdtrb0(xC,szDzizrdt0(xd)),szNzAzT0)
| ~ spl25_17
| ~ spl25_31
| ~ spl25_121 ),
inference(forward_demodulation,[],[f8485,f656]) ).
fof(f656,plain,
( szNzAzT0 = szDzozmdt0(xC)
| ~ spl25_17 ),
inference(avatar_component_clause,[],[f654]) ).
fof(f8485,plain,
( aSubsetOf0(sdtlbdtrb0(xC,szDzizrdt0(xd)),szDzozmdt0(xC))
| ~ spl25_31
| ~ spl25_121 ),
inference(resolution,[],[f1583,f731]) ).
fof(f731,plain,
( aFunction0(xC)
| ~ spl25_31 ),
inference(avatar_component_clause,[],[f729]) ).
fof(f8500,plain,
( spl25_972
| ~ spl25_19
| ~ spl25_121 ),
inference(avatar_split_clause,[],[f8483,f1452,f664,f8497]) ).
fof(f8497,plain,
( spl25_972
<=> aSubsetOf0(sdtlbdtrb0(xc,szDzizrdt0(xd)),szDzozmdt0(xc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_972])]) ).
fof(f664,plain,
( spl25_19
<=> aFunction0(xc) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_19])]) ).
fof(f8483,plain,
( aSubsetOf0(sdtlbdtrb0(xc,szDzizrdt0(xd)),szDzozmdt0(xc))
| ~ spl25_19
| ~ spl25_121 ),
inference(resolution,[],[f1583,f666]) ).
fof(f666,plain,
( aFunction0(xc)
| ~ spl25_19 ),
inference(avatar_component_clause,[],[f664]) ).
fof(f8495,plain,
( spl25_230
| ~ spl25_15
| ~ spl25_28
| ~ spl25_121 ),
inference(avatar_split_clause,[],[f8494,f1452,f713,f644,f2267]) ).
fof(f8494,plain,
( aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szNzAzT0)
| ~ spl25_15
| ~ spl25_28
| ~ spl25_121 ),
inference(forward_demodulation,[],[f8487,f646]) ).
fof(f8487,plain,
( aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szDzozmdt0(xd))
| ~ spl25_28
| ~ spl25_121 ),
inference(resolution,[],[f1583,f715]) ).
fof(f715,plain,
( aFunction0(xd)
| ~ spl25_28 ),
inference(avatar_component_clause,[],[f713]) ).
fof(f8493,plain,
( spl25_971
| ~ spl25_3
| ~ spl25_24
| ~ spl25_121 ),
inference(avatar_split_clause,[],[f8488,f1452,f693,f585,f8490]) ).
fof(f8490,plain,
( spl25_971
<=> aSubsetOf0(sdtlbdtrb0(xN,szDzizrdt0(xd)),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_971])]) ).
fof(f585,plain,
( spl25_3
<=> szNzAzT0 = szDzozmdt0(xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_3])]) ).
fof(f693,plain,
( spl25_24
<=> aFunction0(xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_24])]) ).
fof(f8488,plain,
( aSubsetOf0(sdtlbdtrb0(xN,szDzizrdt0(xd)),szNzAzT0)
| ~ spl25_3
| ~ spl25_24
| ~ spl25_121 ),
inference(forward_demodulation,[],[f8484,f587]) ).
fof(f587,plain,
( szNzAzT0 = szDzozmdt0(xN)
| ~ spl25_3 ),
inference(avatar_component_clause,[],[f585]) ).
fof(f8484,plain,
( aSubsetOf0(sdtlbdtrb0(xN,szDzizrdt0(xd)),szDzozmdt0(xN))
| ~ spl25_24
| ~ spl25_121 ),
inference(resolution,[],[f1583,f695]) ).
fof(f695,plain,
( aFunction0(xN)
| ~ spl25_24 ),
inference(avatar_component_clause,[],[f693]) ).
fof(f8480,plain,
( ~ spl25_221
| ~ spl25_176
| spl25_970
| ~ spl25_113 ),
inference(avatar_split_clause,[],[f8466,f1382,f8478,f1872,f2213]) ).
fof(f2213,plain,
( spl25_221
<=> aElement0(szmzizndt0(xS)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_221])]) ).
fof(f1872,plain,
( spl25_176
<=> aSet0(sdtmndt0(xS,szmzizndt0(xS))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_176])]) ).
fof(f8478,plain,
( spl25_970
<=> ! [X0] :
( szmzizndt0(xS) = X0
| aElementOf0(X0,sdtmndt0(xS,szmzizndt0(xS)))
| ~ aElementOf0(X0,xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_970])]) ).
fof(f1382,plain,
( spl25_113
<=> xS = sdtpldt0(sdtmndt0(xS,szmzizndt0(xS)),szmzizndt0(xS)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_113])]) ).
fof(f8466,plain,
( ! [X0] :
( szmzizndt0(xS) = X0
| ~ aSet0(sdtmndt0(xS,szmzizndt0(xS)))
| ~ aElement0(szmzizndt0(xS))
| ~ aElementOf0(X0,xS)
| aElementOf0(X0,sdtmndt0(xS,szmzizndt0(xS))) )
| ~ spl25_113 ),
inference(superposition,[],[f535,f1384]) ).
fof(f1384,plain,
( xS = sdtpldt0(sdtmndt0(xS,szmzizndt0(xS)),szmzizndt0(xS))
| ~ spl25_113 ),
inference(avatar_component_clause,[],[f1382]) ).
fof(f535,plain,
! [X3,X0,X1] :
( ~ aElementOf0(X3,sdtpldt0(X1,X0))
| ~ aElement0(X0)
| X0 = X3
| ~ aSet0(X1)
| aElementOf0(X3,X1) ),
inference(equality_resolution,[],[f392]) ).
fof(f392,plain,
! [X2,X3,X0,X1] :
( ~ aSet0(X1)
| X0 = X3
| aElementOf0(X3,X1)
| ~ aElementOf0(X3,X2)
| sdtpldt0(X1,X0) != X2
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f263]) ).
fof(f263,plain,
! [X0,X1] :
( ~ aSet0(X1)
| ! [X2] :
( ( ( aSet0(X2)
& ! [X3] :
( ( ( ( X0 = X3
| aElementOf0(X3,X1) )
& aElement0(X3) )
| ~ aElementOf0(X3,X2) )
& ( aElementOf0(X3,X2)
| ( X0 != X3
& ~ aElementOf0(X3,X1) )
| ~ aElement0(X3) ) ) )
| sdtpldt0(X1,X0) != X2 )
& ( sdtpldt0(X1,X0) = X2
| ~ aSet0(X2)
| ( ( ~ aElementOf0(sK5(X0,X1,X2),X2)
| ( sK5(X0,X1,X2) != X0
& ~ aElementOf0(sK5(X0,X1,X2),X1) )
| ~ aElement0(sK5(X0,X1,X2)) )
& ( aElementOf0(sK5(X0,X1,X2),X2)
| ( ( sK5(X0,X1,X2) = X0
| aElementOf0(sK5(X0,X1,X2),X1) )
& aElement0(sK5(X0,X1,X2)) ) ) ) ) )
| ~ aElement0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f261,f262]) ).
fof(f262,plain,
! [X0,X1,X2] :
( ? [X4] :
( ( ~ aElementOf0(X4,X2)
| ( X0 != X4
& ~ aElementOf0(X4,X1) )
| ~ aElement0(X4) )
& ( aElementOf0(X4,X2)
| ( ( X0 = X4
| aElementOf0(X4,X1) )
& aElement0(X4) ) ) )
=> ( ( ~ aElementOf0(sK5(X0,X1,X2),X2)
| ( sK5(X0,X1,X2) != X0
& ~ aElementOf0(sK5(X0,X1,X2),X1) )
| ~ aElement0(sK5(X0,X1,X2)) )
& ( aElementOf0(sK5(X0,X1,X2),X2)
| ( ( sK5(X0,X1,X2) = X0
| aElementOf0(sK5(X0,X1,X2),X1) )
& aElement0(sK5(X0,X1,X2)) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f261,plain,
! [X0,X1] :
( ~ aSet0(X1)
| ! [X2] :
( ( ( aSet0(X2)
& ! [X3] :
( ( ( ( X0 = X3
| aElementOf0(X3,X1) )
& aElement0(X3) )
| ~ aElementOf0(X3,X2) )
& ( aElementOf0(X3,X2)
| ( X0 != X3
& ~ aElementOf0(X3,X1) )
| ~ aElement0(X3) ) ) )
| sdtpldt0(X1,X0) != X2 )
& ( sdtpldt0(X1,X0) = X2
| ~ aSet0(X2)
| ? [X4] :
( ( ~ aElementOf0(X4,X2)
| ( X0 != X4
& ~ aElementOf0(X4,X1) )
| ~ aElement0(X4) )
& ( aElementOf0(X4,X2)
| ( ( X0 = X4
| aElementOf0(X4,X1) )
& aElement0(X4) ) ) ) ) )
| ~ aElement0(X0) ),
inference(rectify,[],[f260]) ).
fof(f260,plain,
! [X1,X0] :
( ~ aSet0(X0)
| ! [X2] :
( ( ( aSet0(X2)
& ! [X3] :
( ( ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) )
| ~ aElementOf0(X3,X2) )
& ( aElementOf0(X3,X2)
| ( X1 != X3
& ~ aElementOf0(X3,X0) )
| ~ aElement0(X3) ) ) )
| sdtpldt0(X0,X1) != X2 )
& ( sdtpldt0(X0,X1) = X2
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aElementOf0(X3,X2)
| ( X1 != X3
& ~ aElementOf0(X3,X0) )
| ~ aElement0(X3) )
& ( aElementOf0(X3,X2)
| ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) ) ) ) ) )
| ~ aElement0(X1) ),
inference(flattening,[],[f259]) ).
fof(f259,plain,
! [X1,X0] :
( ~ aSet0(X0)
| ! [X2] :
( ( ( aSet0(X2)
& ! [X3] :
( ( ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) )
| ~ aElementOf0(X3,X2) )
& ( aElementOf0(X3,X2)
| ( X1 != X3
& ~ aElementOf0(X3,X0) )
| ~ aElement0(X3) ) ) )
| sdtpldt0(X0,X1) != X2 )
& ( sdtpldt0(X0,X1) = X2
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aElementOf0(X3,X2)
| ( X1 != X3
& ~ aElementOf0(X3,X0) )
| ~ aElement0(X3) )
& ( aElementOf0(X3,X2)
| ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) ) ) ) ) )
| ~ aElement0(X1) ),
inference(nnf_transformation,[],[f201]) ).
fof(f201,plain,
! [X1,X0] :
( ~ aSet0(X0)
| ! [X2] :
( ( aSet0(X2)
& ! [X3] :
( ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) )
<=> aElementOf0(X3,X2) ) )
<=> sdtpldt0(X0,X1) = X2 )
| ~ aElement0(X1) ),
inference(flattening,[],[f200]) ).
fof(f200,plain,
! [X0,X1] :
( ! [X2] :
( ( aSet0(X2)
& ! [X3] :
( ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) )
<=> aElementOf0(X3,X2) ) )
<=> sdtpldt0(X0,X1) = X2 )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aSet0(X0) )
=> ! [X2] :
( ( aSet0(X2)
& ! [X3] :
( ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) )
<=> aElementOf0(X3,X2) ) )
<=> sdtpldt0(X0,X1) = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefCons) ).
fof(f8461,plain,
( ~ spl25_116
| ~ spl25_74
| spl25_959 ),
inference(avatar_split_clause,[],[f8460,f8382,f1033,f1400]) ).
fof(f1033,plain,
( spl25_74
<=> aSet0(xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_74])]) ).
fof(f8382,plain,
( spl25_959
<=> aElementOf0(sK2,sdtpldt0(xS,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_959])]) ).
fof(f8460,plain,
( ~ aSet0(xS)
| ~ aElement0(sK2)
| spl25_959 ),
inference(resolution,[],[f8383,f573]) ).
fof(f573,plain,
! [X3,X1] :
( aElementOf0(X3,sdtpldt0(X1,X3))
| ~ aSet0(X1)
| ~ aElement0(X3) ),
inference(duplicate_literal_removal,[],[f538]) ).
fof(f538,plain,
! [X3,X1] :
( ~ aElement0(X3)
| aElementOf0(X3,sdtpldt0(X1,X3))
| ~ aSet0(X1)
| ~ aElement0(X3) ),
inference(equality_resolution,[],[f537]) ).
fof(f537,plain,
! [X2,X3,X1] :
( ~ aSet0(X1)
| aElementOf0(X3,X2)
| ~ aElement0(X3)
| sdtpldt0(X1,X3) != X2
| ~ aElement0(X3) ),
inference(equality_resolution,[],[f390]) ).
fof(f390,plain,
! [X2,X3,X0,X1] :
( ~ aSet0(X1)
| aElementOf0(X3,X2)
| X0 != X3
| ~ aElement0(X3)
| sdtpldt0(X1,X0) != X2
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f263]) ).
fof(f8383,plain,
( ~ aElementOf0(sK2,sdtpldt0(xS,sK2))
| spl25_959 ),
inference(avatar_component_clause,[],[f8382]) ).
fof(f8458,plain,
( spl25_969
| ~ spl25_14
| ~ spl25_30
| ~ spl25_83 ),
inference(avatar_split_clause,[],[f8448,f1101,f724,f639,f8455]) ).
fof(f8455,plain,
( spl25_969
<=> aElementOf0(szmzizndt0(xS),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_969])]) ).
fof(f724,plain,
( spl25_30
<=> aSubsetOf0(xS,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_30])]) ).
fof(f1101,plain,
( spl25_83
<=> aElementOf0(szmzizndt0(xS),xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_83])]) ).
fof(f8448,plain,
( ~ aSet0(szNzAzT0)
| aElementOf0(szmzizndt0(xS),szNzAzT0)
| ~ spl25_30
| ~ spl25_83 ),
inference(resolution,[],[f1327,f726]) ).
fof(f726,plain,
( aSubsetOf0(xS,szNzAzT0)
| ~ spl25_30 ),
inference(avatar_component_clause,[],[f724]) ).
fof(f1327,plain,
( ! [X0] :
( ~ aSubsetOf0(xS,X0)
| ~ aSet0(X0)
| aElementOf0(szmzizndt0(xS),X0) )
| ~ spl25_83 ),
inference(resolution,[],[f1103,f485]) ).
fof(f485,plain,
! [X3,X0,X1] :
( ~ aElementOf0(X3,X1)
| aElementOf0(X3,X0)
| ~ aSet0(X0)
| ~ aSubsetOf0(X1,X0) ),
inference(cnf_transformation,[],[f312]) ).
fof(f1103,plain,
( aElementOf0(szmzizndt0(xS),xS)
| ~ spl25_83 ),
inference(avatar_component_clause,[],[f1101]) ).
fof(f8447,plain,
( ~ spl25_2
| spl25_968
| ~ spl25_97 ),
inference(avatar_split_clause,[],[f8441,f1224,f8444,f580]) ).
fof(f580,plain,
( spl25_2
<=> aElementOf0(sz00,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_2])]) ).
fof(f8444,plain,
( spl25_968
<=> aElementOf0(sz00,slbdtrb0(xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_968])]) ).
fof(f1224,plain,
( spl25_97
<=> xK = szszuzczcdt0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_97])]) ).
fof(f8441,plain,
( aElementOf0(sz00,slbdtrb0(xK))
| ~ aElementOf0(sz00,szNzAzT0)
| ~ spl25_97 ),
inference(superposition,[],[f572,f1226]) ).
fof(f1226,plain,
( xK = szszuzczcdt0(sz00)
| ~ spl25_97 ),
inference(avatar_component_clause,[],[f1224]) ).
fof(f572,plain,
! [X1] :
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(duplicate_literal_removal,[],[f545]) ).
fof(f545,plain,
! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(X1,slbdtrb0(szszuzczcdt0(X1))) ),
inference(equality_resolution,[],[f409]) ).
fof(f409,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
| X0 != X1
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f275]) ).
fof(f275,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ( ( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
| ( X0 != X1
& ~ aElementOf0(X0,slbdtrb0(X1)) ) )
& ( X0 = X1
| aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1))) ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(rectify,[],[f274]) ).
fof(f274,plain,
! [X1,X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ( ( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X0)))
| ( X0 != X1
& ~ aElementOf0(X1,slbdtrb0(X0)) ) )
& ( X0 = X1
| aElementOf0(X1,slbdtrb0(X0))
| ~ aElementOf0(X1,slbdtrb0(szszuzczcdt0(X0))) ) )
| ~ aElementOf0(X1,szNzAzT0) ),
inference(flattening,[],[f273]) ).
fof(f273,plain,
! [X1,X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ( ( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X0)))
| ( X0 != X1
& ~ aElementOf0(X1,slbdtrb0(X0)) ) )
& ( X0 = X1
| aElementOf0(X1,slbdtrb0(X0))
| ~ aElementOf0(X1,slbdtrb0(szszuzczcdt0(X0))) ) )
| ~ aElementOf0(X1,szNzAzT0) ),
inference(nnf_transformation,[],[f238]) ).
fof(f238,plain,
! [X1,X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X0)))
<=> ( X0 = X1
| aElementOf0(X1,slbdtrb0(X0)) ) )
| ~ aElementOf0(X1,szNzAzT0) ),
inference(flattening,[],[f237]) ).
fof(f237,plain,
! [X1,X0] :
( ( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X0)))
<=> ( X0 = X1
| aElementOf0(X1,slbdtrb0(X0)) ) )
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(ennf_transformation,[],[f112]) ).
fof(f112,plain,
! [X1,X0] :
( ( aElementOf0(X0,szNzAzT0)
& aElementOf0(X1,szNzAzT0) )
=> ( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X0)))
<=> ( X0 = X1
| aElementOf0(X1,slbdtrb0(X0)) ) ) ),
inference(rectify,[],[f53]) ).
fof(f53,axiom,
! [X1,X0] :
( ( aElementOf0(X0,szNzAzT0)
& aElementOf0(X1,szNzAzT0) )
=> ( ( aElementOf0(X0,slbdtrb0(X1))
| X0 = X1 )
<=> aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSegSucc) ).
fof(f8436,plain,
( spl25_967
| ~ spl25_19
| ~ spl25_223 ),
inference(avatar_split_clause,[],[f8398,f2223,f664,f8433]) ).
fof(f8433,plain,
( spl25_967
<=> aSubsetOf0(sdtlbdtrb0(xc,xS),szDzozmdt0(xc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_967])]) ).
fof(f2223,plain,
( spl25_223
<=> aElement0(xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_223])]) ).
fof(f8398,plain,
( aSubsetOf0(sdtlbdtrb0(xc,xS),szDzozmdt0(xc))
| ~ spl25_19
| ~ spl25_223 ),
inference(resolution,[],[f5450,f666]) ).
fof(f5450,plain,
( ! [X9] :
( ~ aFunction0(X9)
| aSubsetOf0(sdtlbdtrb0(X9,xS),szDzozmdt0(X9)) )
| ~ spl25_223 ),
inference(resolution,[],[f2224,f425]) ).
fof(f2224,plain,
( aElement0(xS)
| ~ spl25_223 ),
inference(avatar_component_clause,[],[f2223]) ).
fof(f8431,plain,
( spl25_966
| ~ spl25_15
| ~ spl25_28
| ~ spl25_223 ),
inference(avatar_split_clause,[],[f8426,f2223,f713,f644,f8428]) ).
fof(f8428,plain,
( spl25_966
<=> aSubsetOf0(sdtlbdtrb0(xd,xS),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_966])]) ).
fof(f8426,plain,
( aSubsetOf0(sdtlbdtrb0(xd,xS),szNzAzT0)
| ~ spl25_15
| ~ spl25_28
| ~ spl25_223 ),
inference(forward_demodulation,[],[f8402,f646]) ).
fof(f8402,plain,
( aSubsetOf0(sdtlbdtrb0(xd,xS),szDzozmdt0(xd))
| ~ spl25_28
| ~ spl25_223 ),
inference(resolution,[],[f5450,f715]) ).
fof(f8425,plain,
( spl25_965
| ~ spl25_13
| ~ spl25_33
| ~ spl25_223 ),
inference(avatar_split_clause,[],[f8420,f2223,f741,f634,f8422]) ).
fof(f8422,plain,
( spl25_965
<=> aSubsetOf0(sdtlbdtrb0(xe,xS),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_965])]) ).
fof(f8420,plain,
( aSubsetOf0(sdtlbdtrb0(xe,xS),szNzAzT0)
| ~ spl25_13
| ~ spl25_33
| ~ spl25_223 ),
inference(forward_demodulation,[],[f8401,f636]) ).
fof(f8401,plain,
( aSubsetOf0(sdtlbdtrb0(xe,xS),szDzozmdt0(xe))
| ~ spl25_33
| ~ spl25_223 ),
inference(resolution,[],[f5450,f743]) ).
fof(f8419,plain,
( spl25_964
| ~ spl25_223
| ~ spl25_917 ),
inference(avatar_split_clause,[],[f8397,f8078,f2223,f8416]) ).
fof(f8416,plain,
( spl25_964
<=> aSubsetOf0(sdtlbdtrb0(sdtlpdtrp0(xC,xK),xS),szDzozmdt0(sdtlpdtrp0(xC,xK))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_964])]) ).
fof(f8397,plain,
( aSubsetOf0(sdtlbdtrb0(sdtlpdtrp0(xC,xK),xS),szDzozmdt0(sdtlpdtrp0(xC,xK)))
| ~ spl25_223
| ~ spl25_917 ),
inference(resolution,[],[f5450,f8079]) ).
fof(f8414,plain,
( spl25_963
| ~ spl25_3
| ~ spl25_24
| ~ spl25_223 ),
inference(avatar_split_clause,[],[f8409,f2223,f693,f585,f8411]) ).
fof(f8411,plain,
( spl25_963
<=> aSubsetOf0(sdtlbdtrb0(xN,xS),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_963])]) ).
fof(f8409,plain,
( aSubsetOf0(sdtlbdtrb0(xN,xS),szNzAzT0)
| ~ spl25_3
| ~ spl25_24
| ~ spl25_223 ),
inference(forward_demodulation,[],[f8399,f587]) ).
fof(f8399,plain,
( aSubsetOf0(sdtlbdtrb0(xN,xS),szDzozmdt0(xN))
| ~ spl25_24
| ~ spl25_223 ),
inference(resolution,[],[f5450,f695]) ).
fof(f8408,plain,
( spl25_962
| ~ spl25_17
| ~ spl25_31
| ~ spl25_223 ),
inference(avatar_split_clause,[],[f8403,f2223,f729,f654,f8405]) ).
fof(f8405,plain,
( spl25_962
<=> aSubsetOf0(sdtlbdtrb0(xC,xS),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_962])]) ).
fof(f8403,plain,
( aSubsetOf0(sdtlbdtrb0(xC,xS),szNzAzT0)
| ~ spl25_17
| ~ spl25_31
| ~ spl25_223 ),
inference(forward_demodulation,[],[f8400,f656]) ).
fof(f8400,plain,
( aSubsetOf0(sdtlbdtrb0(xC,xS),szDzozmdt0(xC))
| ~ spl25_31
| ~ spl25_223 ),
inference(resolution,[],[f5450,f731]) ).
fof(f8394,plain,
( spl25_960
| spl25_961
| ~ spl25_953 ),
inference(avatar_split_clause,[],[f8372,f8346,f8391,f8387]) ).
fof(f8387,plain,
( spl25_960
<=> aElementOf0(sK13(sdtpldt0(xS,sK2)),sdtpldt0(xS,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_960])]) ).
fof(f8391,plain,
( spl25_961
<=> slcrc0 = sdtpldt0(xS,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_961])]) ).
fof(f8346,plain,
( spl25_953
<=> aSet0(sdtpldt0(xS,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_953])]) ).
fof(f8372,plain,
( slcrc0 = sdtpldt0(xS,sK2)
| aElementOf0(sK13(sdtpldt0(xS,sK2)),sdtpldt0(xS,sK2))
| ~ spl25_953 ),
inference(resolution,[],[f8347,f462]) ).
fof(f462,plain,
! [X0] :
( ~ aSet0(X0)
| slcrc0 = X0
| aElementOf0(sK13(X0),X0) ),
inference(cnf_transformation,[],[f303]) ).
fof(f303,plain,
! [X0] :
( ( slcrc0 = X0
| ~ aSet0(X0)
| aElementOf0(sK13(X0),X0) )
& ( ( aSet0(X0)
& ! [X2] : ~ aElementOf0(X2,X0) )
| slcrc0 != X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f301,f302]) ).
fof(f302,plain,
! [X0] :
( ? [X1] : aElementOf0(X1,X0)
=> aElementOf0(sK13(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f301,plain,
! [X0] :
( ( slcrc0 = X0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) )
& ( ( aSet0(X0)
& ! [X2] : ~ aElementOf0(X2,X0) )
| slcrc0 != X0 ) ),
inference(rectify,[],[f300]) ).
fof(f300,plain,
! [X0] :
( ( slcrc0 = X0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) )
& ( ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) )
| slcrc0 != X0 ) ),
inference(flattening,[],[f299]) ).
fof(f299,plain,
! [X0] :
( ( slcrc0 = X0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) )
& ( ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) )
| slcrc0 != X0 ) ),
inference(nnf_transformation,[],[f185]) ).
fof(f185,plain,
! [X0] :
( slcrc0 = X0
<=> ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( ( ~ ? [X1] : aElementOf0(X1,X0)
& aSet0(X0) )
<=> slcrc0 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefEmp) ).
fof(f8347,plain,
( aSet0(sdtpldt0(xS,sK2))
| ~ spl25_953 ),
inference(avatar_component_clause,[],[f8346]) ).
fof(f8385,plain,
( spl25_958
| spl25_959
| ~ spl25_116
| ~ spl25_953 ),
inference(avatar_split_clause,[],[f8371,f8346,f1400,f8382,f8378]) ).
fof(f8378,plain,
( spl25_958
<=> sdtmndt0(sdtpldt0(sdtpldt0(xS,sK2),sK2),sK2) = sdtpldt0(xS,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_958])]) ).
fof(f8371,plain,
( aElementOf0(sK2,sdtpldt0(xS,sK2))
| sdtmndt0(sdtpldt0(sdtpldt0(xS,sK2),sK2),sK2) = sdtpldt0(xS,sK2)
| ~ spl25_116
| ~ spl25_953 ),
inference(resolution,[],[f8347,f2593]) ).
fof(f2593,plain,
( ! [X10] :
( ~ aSet0(X10)
| sdtmndt0(sdtpldt0(X10,sK2),sK2) = X10
| aElementOf0(sK2,X10) )
| ~ spl25_116 ),
inference(resolution,[],[f1401,f443]) ).
fof(f443,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| aElementOf0(X0,X1)
| sdtmndt0(sdtpldt0(X1,X0),X0) = X1 ),
inference(cnf_transformation,[],[f288]) ).
fof(f288,plain,
! [X0,X1] :
( ~ aElement0(X0)
| aElementOf0(X0,X1)
| ~ aSet0(X1)
| sdtmndt0(sdtpldt0(X1,X0),X0) = X1 ),
inference(rectify,[],[f160]) ).
fof(f160,plain,
! [X1,X0] :
( ~ aElement0(X1)
| aElementOf0(X1,X0)
| ~ aSet0(X0)
| sdtmndt0(sdtpldt0(X0,X1),X1) = X0 ),
inference(flattening,[],[f159]) ).
fof(f159,plain,
! [X0,X1] :
( sdtmndt0(sdtpldt0(X0,X1),X1) = X0
| aElementOf0(X1,X0)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0,X1] :
( ( aElement0(X1)
& aSet0(X0) )
=> ( ~ aElementOf0(X1,X0)
=> sdtmndt0(sdtpldt0(X0,X1),X1) = X0 ) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X1,X0] :
( ( aElement0(X0)
& aSet0(X1) )
=> ( ~ aElementOf0(X0,X1)
=> sdtmndt0(sdtpldt0(X1,X0),X0) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDiffCons) ).
fof(f1401,plain,
( aElement0(sK2)
| ~ spl25_116 ),
inference(avatar_component_clause,[],[f1400]) ).
fof(f8368,plain,
( ~ spl25_74
| ~ spl25_116
| spl25_953 ),
inference(avatar_split_clause,[],[f8367,f8346,f1400,f1033]) ).
fof(f8367,plain,
( ~ aElement0(sK2)
| ~ aSet0(xS)
| spl25_953 ),
inference(resolution,[],[f8348,f534]) ).
fof(f534,plain,
! [X0,X1] :
( aSet0(sdtpldt0(X1,X0))
| ~ aElement0(X0)
| ~ aSet0(X1) ),
inference(equality_resolution,[],[f393]) ).
fof(f393,plain,
! [X2,X0,X1] :
( ~ aSet0(X1)
| aSet0(X2)
| sdtpldt0(X1,X0) != X2
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f263]) ).
fof(f8348,plain,
( ~ aSet0(sdtpldt0(xS,sK2))
| spl25_953 ),
inference(avatar_component_clause,[],[f8346]) ).
fof(f8366,plain,
( ~ spl25_116
| spl25_957
| ~ spl25_74
| ~ spl25_955
| ~ spl25_953
| ~ spl25_649 ),
inference(avatar_split_clause,[],[f8340,f6252,f8346,f8354,f1033,f8364,f1400]) ).
fof(f8364,plain,
( spl25_957
<=> ! [X3] :
( isFinite0(X3)
| ~ aSubsetOf0(X3,xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_957])]) ).
fof(f8354,plain,
( spl25_955
<=> isFinite0(sdtpldt0(xS,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_955])]) ).
fof(f6252,plain,
( spl25_649
<=> xS = sdtmndt0(sdtpldt0(xS,sK2),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_649])]) ).
fof(f8340,plain,
( ! [X3] :
( ~ aSet0(sdtpldt0(xS,sK2))
| ~ isFinite0(sdtpldt0(xS,sK2))
| ~ aSet0(xS)
| isFinite0(X3)
| ~ aSubsetOf0(X3,xS)
| ~ aElement0(sK2) )
| ~ spl25_649 ),
inference(superposition,[],[f1078,f6254]) ).
fof(f6254,plain,
( xS = sdtmndt0(sdtpldt0(xS,sK2),sK2)
| ~ spl25_649 ),
inference(avatar_component_clause,[],[f6252]) ).
fof(f8362,plain,
( ~ spl25_953
| ~ spl25_74
| ~ spl25_5
| ~ spl25_116
| ~ spl25_955
| ~ spl25_649 ),
inference(avatar_split_clause,[],[f8341,f6252,f8354,f1400,f595,f1033,f8346]) ).
fof(f595,plain,
( spl25_5
<=> isCountable0(xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_5])]) ).
fof(f8341,plain,
( ~ isFinite0(sdtpldt0(xS,sK2))
| ~ aElement0(sK2)
| ~ isCountable0(xS)
| ~ aSet0(xS)
| ~ aSet0(sdtpldt0(xS,sK2))
| ~ spl25_649 ),
inference(superposition,[],[f1079,f6254]) ).
fof(f8361,plain,
( spl25_956
| ~ spl25_953
| ~ spl25_116
| ~ spl25_649 ),
inference(avatar_split_clause,[],[f8336,f6252,f1400,f8346,f8359]) ).
fof(f8359,plain,
( spl25_956
<=> ! [X0] :
( aElement0(X0)
| ~ aElementOf0(X0,xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_956])]) ).
fof(f8336,plain,
( ! [X0] :
( ~ aElement0(sK2)
| ~ aSet0(sdtpldt0(xS,sK2))
| aElement0(X0)
| ~ aElementOf0(X0,xS) )
| ~ spl25_649 ),
inference(superposition,[],[f549,f6254]) ).
fof(f549,plain,
! [X0,X1,X4] :
( ~ aElementOf0(X4,sdtmndt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0)
| aElement0(X4) ),
inference(equality_resolution,[],[f449]) ).
fof(f449,plain,
! [X2,X0,X1,X4] :
( ~ aElement0(X1)
| ~ aSet0(X0)
| aElement0(X4)
| ~ aElementOf0(X4,X2)
| sdtmndt0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f294]) ).
fof(f8357,plain,
( ~ spl25_116
| ~ spl25_955
| ~ spl25_953
| spl25_102
| ~ spl25_649 ),
inference(avatar_split_clause,[],[f8333,f6252,f1305,f8346,f8354,f1400]) ).
fof(f1305,plain,
( spl25_102
<=> isFinite0(xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_102])]) ).
fof(f8333,plain,
( isFinite0(xS)
| ~ aSet0(sdtpldt0(xS,sK2))
| ~ isFinite0(sdtpldt0(xS,sK2))
| ~ aElement0(sK2)
| ~ spl25_649 ),
inference(superposition,[],[f382,f6254]) ).
fof(f8352,plain,
( ~ spl25_953
| ~ spl25_116
| spl25_954
| ~ spl25_649 ),
inference(avatar_split_clause,[],[f8338,f6252,f8350,f1400,f8346]) ).
fof(f8350,plain,
( spl25_954
<=> ! [X1] :
( ~ aElementOf0(X1,xS)
| aElementOf0(X1,sdtpldt0(xS,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_954])]) ).
fof(f8338,plain,
( ! [X1] :
( ~ aElementOf0(X1,xS)
| aElementOf0(X1,sdtpldt0(xS,sK2))
| ~ aElement0(sK2)
| ~ aSet0(sdtpldt0(xS,sK2)) )
| ~ spl25_649 ),
inference(superposition,[],[f552,f6254]) ).
fof(f8328,plain,
( ~ spl25_952
| spl25_61
| ~ spl25_273
| ~ spl25_470 ),
inference(avatar_split_clause,[],[f8322,f4426,f2697,f938,f8325]) ).
fof(f8325,plain,
( spl25_952
<=> aSubsetOf0(slbdtrb0(xK),slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_952])]) ).
fof(f938,plain,
( spl25_61
<=> sdtlseqdt0(xK,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_61])]) ).
fof(f2697,plain,
( spl25_273
<=> xK = sbrdtbr0(slbdtrb0(xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_273])]) ).
fof(f4426,plain,
( spl25_470
<=> ! [X0] :
( ~ aSubsetOf0(X0,slcrc0)
| sdtlseqdt0(sbrdtbr0(X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_470])]) ).
fof(f8322,plain,
( sdtlseqdt0(xK,sz00)
| ~ aSubsetOf0(slbdtrb0(xK),slcrc0)
| ~ spl25_273
| ~ spl25_470 ),
inference(superposition,[],[f4427,f2699]) ).
fof(f2699,plain,
( xK = sbrdtbr0(slbdtrb0(xK))
| ~ spl25_273 ),
inference(avatar_component_clause,[],[f2697]) ).
fof(f4427,plain,
( ! [X0] :
( sdtlseqdt0(sbrdtbr0(X0),sz00)
| ~ aSubsetOf0(X0,slcrc0) )
| ~ spl25_470 ),
inference(avatar_component_clause,[],[f4426]) ).
fof(f8320,plain,
( ~ spl25_209
| spl25_951
| ~ spl25_621 ),
inference(avatar_split_clause,[],[f8304,f6008,f8318,f2153]) ).
fof(f2153,plain,
( spl25_209
<=> aElementOf0(sK7(xd),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_209])]) ).
fof(f8318,plain,
( spl25_951
<=> ! [X2] :
( ~ aSubsetOf0(slbdtrb0(sK7(xd)),X2)
| aElementOf0(slbdtrb0(sK7(xd)),slbdtsldtrb0(X2,sK7(xd)))
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_951])]) ).
fof(f6008,plain,
( spl25_621
<=> sK7(xd) = sbrdtbr0(slbdtrb0(sK7(xd))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_621])]) ).
fof(f8304,plain,
( ! [X2] :
( ~ aSubsetOf0(slbdtrb0(sK7(xd)),X2)
| ~ aSet0(X2)
| ~ aElementOf0(sK7(xd),szNzAzT0)
| aElementOf0(slbdtrb0(sK7(xd)),slbdtsldtrb0(X2,sK7(xd))) )
| ~ spl25_621 ),
inference(superposition,[],[f541,f6010]) ).
fof(f6010,plain,
( sK7(xd) = sbrdtbr0(slbdtrb0(sK7(xd)))
| ~ spl25_621 ),
inference(avatar_component_clause,[],[f6008]) ).
fof(f541,plain,
! [X0,X4] :
( ~ aElementOf0(sbrdtbr0(X4),szNzAzT0)
| aElementOf0(X4,slbdtsldtrb0(X0,sbrdtbr0(X4)))
| ~ aSet0(X0)
| ~ aSubsetOf0(X4,X0) ),
inference(equality_resolution,[],[f540]) ).
fof(f540,plain,
! [X2,X0,X4] :
( aElementOf0(X4,X2)
| ~ aSubsetOf0(X4,X0)
| slbdtsldtrb0(X0,sbrdtbr0(X4)) != X2
| ~ aElementOf0(sbrdtbr0(X4),szNzAzT0)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f402]) ).
fof(f402,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| sbrdtbr0(X4) != X1
| ~ aSubsetOf0(X4,X0)
| slbdtsldtrb0(X0,X1) != X2
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f271]) ).
fof(f271,plain,
! [X0,X1] :
( ! [X2] :
( ( slbdtsldtrb0(X0,X1) = X2
| ( ( sbrdtbr0(sK8(X0,X1,X2)) != X1
| ~ aSubsetOf0(sK8(X0,X1,X2),X0)
| ~ aElementOf0(sK8(X0,X1,X2),X2) )
& ( ( sbrdtbr0(sK8(X0,X1,X2)) = X1
& aSubsetOf0(sK8(X0,X1,X2),X0) )
| aElementOf0(sK8(X0,X1,X2),X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| sbrdtbr0(X4) != X1
| ~ aSubsetOf0(X4,X0) )
& ( ( sbrdtbr0(X4) = X1
& aSubsetOf0(X4,X0) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f269,f270]) ).
fof(f270,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0)
| ~ aElementOf0(X3,X2) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| aElementOf0(X3,X2) ) )
=> ( ( sbrdtbr0(sK8(X0,X1,X2)) != X1
| ~ aSubsetOf0(sK8(X0,X1,X2),X0)
| ~ aElementOf0(sK8(X0,X1,X2),X2) )
& ( ( sbrdtbr0(sK8(X0,X1,X2)) = X1
& aSubsetOf0(sK8(X0,X1,X2),X0) )
| aElementOf0(sK8(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f269,plain,
! [X0,X1] :
( ! [X2] :
( ( slbdtsldtrb0(X0,X1) = X2
| ? [X3] :
( ( sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0)
| ~ aElementOf0(X3,X2) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| sbrdtbr0(X4) != X1
| ~ aSubsetOf0(X4,X0) )
& ( ( sbrdtbr0(X4) = X1
& aSubsetOf0(X4,X0) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(rectify,[],[f268]) ).
fof(f268,plain,
! [X0,X1] :
( ! [X2] :
( ( slbdtsldtrb0(X0,X1) = X2
| ? [X3] :
( ( sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0)
| ~ aElementOf0(X3,X2) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(flattening,[],[f267]) ).
fof(f267,plain,
! [X0,X1] :
( ! [X2] :
( ( slbdtsldtrb0(X0,X1) = X2
| ? [X3] :
( ( sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0)
| ~ aElementOf0(X3,X2) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f172]) ).
fof(f172,plain,
! [X0,X1] :
( ! [X2] :
( slbdtsldtrb0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) ) )
& aSet0(X2) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(flattening,[],[f171]) ).
fof(f171,plain,
! [X0,X1] :
( ! [X2] :
( slbdtsldtrb0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) ) )
& aSet0(X2) ) )
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,axiom,
! [X0,X1] :
( ( aSet0(X0)
& aElementOf0(X1,szNzAzT0) )
=> ! [X2] :
( slbdtsldtrb0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSel) ).
fof(f8316,plain,
( ~ spl25_948
| ~ spl25_949
| spl25_950
| ~ spl25_621 ),
inference(avatar_split_clause,[],[f8302,f6008,f8314,f8310,f8306]) ).
fof(f8306,plain,
( spl25_948
<=> aSet0(slbdtrb0(sK7(xd))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_948])]) ).
fof(f8310,plain,
( spl25_949
<=> isFinite0(slbdtrb0(sK7(xd))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_949])]) ).
fof(f8314,plain,
( spl25_950
<=> ! [X0] :
( sdtlseqdt0(sbrdtbr0(X0),sK7(xd))
| ~ aSubsetOf0(X0,slbdtrb0(sK7(xd))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_950])]) ).
fof(f8302,plain,
( ! [X0] :
( sdtlseqdt0(sbrdtbr0(X0),sK7(xd))
| ~ aSubsetOf0(X0,slbdtrb0(sK7(xd)))
| ~ isFinite0(slbdtrb0(sK7(xd)))
| ~ aSet0(slbdtrb0(sK7(xd))) )
| ~ spl25_621 ),
inference(superposition,[],[f526,f6010]) ).
fof(f526,plain,
! [X0,X1] :
( sdtlseqdt0(sbrdtbr0(X1),sbrdtbr0(X0))
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0)
| ~ isFinite0(X0) ),
inference(cnf_transformation,[],[f193]) ).
fof(f193,plain,
! [X0] :
( ! [X1] :
( sdtlseqdt0(sbrdtbr0(X1),sbrdtbr0(X0))
| ~ aSubsetOf0(X1,X0)
| ~ isFinite0(X0) )
| ~ aSet0(X0) ),
inference(flattening,[],[f192]) ).
fof(f192,plain,
! [X0] :
( ! [X1] :
( sdtlseqdt0(sbrdtbr0(X1),sbrdtbr0(X0))
| ~ isFinite0(X0)
| ~ aSubsetOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( ( isFinite0(X0)
& aSubsetOf0(X1,X0) )
=> sdtlseqdt0(sbrdtbr0(X1),sbrdtbr0(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardSub) ).
fof(f8297,plain,
( spl25_947
| ~ spl25_209
| ~ spl25_387 ),
inference(avatar_split_clause,[],[f8273,f3683,f2153,f8294]) ).
fof(f8294,plain,
( spl25_947
<=> aElement0(sdtlpdtrp0(xe,sK7(xd))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_947])]) ).
fof(f3683,plain,
( spl25_387
<=> ! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| aElement0(sdtlpdtrp0(xe,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_387])]) ).
fof(f8273,plain,
( aElement0(sdtlpdtrp0(xe,sK7(xd)))
| ~ spl25_209
| ~ spl25_387 ),
inference(resolution,[],[f3684,f2155]) ).
fof(f2155,plain,
( aElementOf0(sK7(xd),szNzAzT0)
| ~ spl25_209 ),
inference(avatar_component_clause,[],[f2153]) ).
fof(f3684,plain,
( ! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| aElement0(sdtlpdtrp0(xe,X2)) )
| ~ spl25_387 ),
inference(avatar_component_clause,[],[f3683]) ).
fof(f8292,plain,
( spl25_946
| ~ spl25_311
| ~ spl25_387 ),
inference(avatar_split_clause,[],[f8275,f3683,f2983,f8289]) ).
fof(f8289,plain,
( spl25_946
<=> aElement0(sdtlpdtrp0(xe,sK13(szNzAzT0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_946])]) ).
fof(f2983,plain,
( spl25_311
<=> aElementOf0(sK13(szNzAzT0),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_311])]) ).
fof(f8275,plain,
( aElement0(sdtlpdtrp0(xe,sK13(szNzAzT0)))
| ~ spl25_311
| ~ spl25_387 ),
inference(resolution,[],[f3684,f2985]) ).
fof(f2985,plain,
( aElementOf0(sK13(szNzAzT0),szNzAzT0)
| ~ spl25_311 ),
inference(avatar_component_clause,[],[f2983]) ).
fof(f8286,plain,
( spl25_945
| ~ spl25_387
| ~ spl25_634 ),
inference(avatar_split_clause,[],[f8274,f6080,f3683,f8283]) ).
fof(f8283,plain,
( spl25_945
<=> aElement0(sdtlpdtrp0(xe,sK11(szNzAzT0,sK7(xd)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_945])]) ).
fof(f6080,plain,
( spl25_634
<=> aElementOf0(sK11(szNzAzT0,sK7(xd)),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_634])]) ).
fof(f8274,plain,
( aElement0(sdtlpdtrp0(xe,sK11(szNzAzT0,sK7(xd))))
| ~ spl25_387
| ~ spl25_634 ),
inference(resolution,[],[f3684,f6082]) ).
fof(f6082,plain,
( aElementOf0(sK11(szNzAzT0,sK7(xd)),szNzAzT0)
| ~ spl25_634 ),
inference(avatar_component_clause,[],[f6080]) ).
fof(f8281,plain,
( spl25_944
| ~ spl25_387
| ~ spl25_456 ),
inference(avatar_split_clause,[],[f8269,f4316,f3683,f8278]) ).
fof(f8278,plain,
( spl25_944
<=> aElement0(sdtlpdtrp0(xe,szszuzczcdt0(xK))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_944])]) ).
fof(f4316,plain,
( spl25_456
<=> aElementOf0(szszuzczcdt0(xK),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_456])]) ).
fof(f8269,plain,
( aElement0(sdtlpdtrp0(xe,szszuzczcdt0(xK)))
| ~ spl25_387
| ~ spl25_456 ),
inference(resolution,[],[f3684,f4317]) ).
fof(f4317,plain,
( aElementOf0(szszuzczcdt0(xK),szNzAzT0)
| ~ spl25_456 ),
inference(avatar_component_clause,[],[f4316]) ).
fof(f8266,plain,
( spl25_943
| ~ spl25_382
| ~ spl25_456 ),
inference(avatar_split_clause,[],[f8229,f4316,f3638,f8263]) ).
fof(f8263,plain,
( spl25_943
<=> aElement0(sdtlpdtrp0(xC,szszuzczcdt0(xK))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_943])]) ).
fof(f3638,plain,
( spl25_382
<=> ! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| aElement0(sdtlpdtrp0(xC,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_382])]) ).
fof(f8229,plain,
( aElement0(sdtlpdtrp0(xC,szszuzczcdt0(xK)))
| ~ spl25_382
| ~ spl25_456 ),
inference(resolution,[],[f3639,f4317]) ).
fof(f3639,plain,
( ! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| aElement0(sdtlpdtrp0(xC,X2)) )
| ~ spl25_382 ),
inference(avatar_component_clause,[],[f3638]) ).
fof(f8261,plain,
( spl25_942
| ~ spl25_2
| ~ spl25_382 ),
inference(avatar_split_clause,[],[f8227,f3638,f580,f8258]) ).
fof(f8258,plain,
( spl25_942
<=> aElement0(sdtlpdtrp0(xC,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_942])]) ).
fof(f8227,plain,
( aElement0(sdtlpdtrp0(xC,sz00))
| ~ spl25_2
| ~ spl25_382 ),
inference(resolution,[],[f3639,f582]) ).
fof(f582,plain,
( aElementOf0(sz00,szNzAzT0)
| ~ spl25_2 ),
inference(avatar_component_clause,[],[f580]) ).
fof(f8256,plain,
( spl25_941
| ~ spl25_311
| ~ spl25_382 ),
inference(avatar_split_clause,[],[f8235,f3638,f2983,f8253]) ).
fof(f8253,plain,
( spl25_941
<=> aElement0(sdtlpdtrp0(xC,sK13(szNzAzT0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_941])]) ).
fof(f8235,plain,
( aElement0(sdtlpdtrp0(xC,sK13(szNzAzT0)))
| ~ spl25_311
| ~ spl25_382 ),
inference(resolution,[],[f3639,f2985]) ).
fof(f8251,plain,
( spl25_940
| ~ spl25_209
| ~ spl25_382 ),
inference(avatar_split_clause,[],[f8233,f3638,f2153,f8248]) ).
fof(f8248,plain,
( spl25_940
<=> aElement0(sdtlpdtrp0(xC,sK7(xd))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_940])]) ).
fof(f8233,plain,
( aElement0(sdtlpdtrp0(xC,sK7(xd)))
| ~ spl25_209
| ~ spl25_382 ),
inference(resolution,[],[f3639,f2155]) ).
fof(f8246,plain,
( spl25_939
| ~ spl25_382
| ~ spl25_634 ),
inference(avatar_split_clause,[],[f8234,f6080,f3638,f8243]) ).
fof(f8243,plain,
( spl25_939
<=> aElement0(sdtlpdtrp0(xC,sK11(szNzAzT0,sK7(xd)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_939])]) ).
fof(f8234,plain,
( aElement0(sdtlpdtrp0(xC,sK11(szNzAzT0,sK7(xd))))
| ~ spl25_382
| ~ spl25_634 ),
inference(resolution,[],[f3639,f6082]) ).
fof(f8241,plain,
( spl25_938
| ~ spl25_29
| ~ spl25_382 ),
inference(avatar_split_clause,[],[f8231,f3638,f718,f8238]) ).
fof(f8238,plain,
( spl25_938
<=> aElement0(sdtlpdtrp0(xC,xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_938])]) ).
fof(f718,plain,
( spl25_29
<=> aElementOf0(xK,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_29])]) ).
fof(f8231,plain,
( aElement0(sdtlpdtrp0(xC,xK))
| ~ spl25_29
| ~ spl25_382 ),
inference(resolution,[],[f3639,f720]) ).
fof(f720,plain,
( aElementOf0(xK,szNzAzT0)
| ~ spl25_29 ),
inference(avatar_component_clause,[],[f718]) ).
fof(f8226,plain,
( spl25_937
| ~ spl25_29
| ~ spl25_370 ),
inference(avatar_split_clause,[],[f8195,f3571,f718,f8223]) ).
fof(f8223,plain,
( spl25_937
<=> aElement0(sdtlpdtrp0(xN,xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_937])]) ).
fof(f3571,plain,
( spl25_370
<=> ! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| aElement0(sdtlpdtrp0(xN,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_370])]) ).
fof(f8195,plain,
( aElement0(sdtlpdtrp0(xN,xK))
| ~ spl25_29
| ~ spl25_370 ),
inference(resolution,[],[f3572,f720]) ).
fof(f3572,plain,
( ! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| aElement0(sdtlpdtrp0(xN,X2)) )
| ~ spl25_370 ),
inference(avatar_component_clause,[],[f3571]) ).
fof(f8220,plain,
( spl25_936
| ~ spl25_311
| ~ spl25_370 ),
inference(avatar_split_clause,[],[f8199,f3571,f2983,f8217]) ).
fof(f8217,plain,
( spl25_936
<=> aElement0(sdtlpdtrp0(xN,sK13(szNzAzT0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_936])]) ).
fof(f8199,plain,
( aElement0(sdtlpdtrp0(xN,sK13(szNzAzT0)))
| ~ spl25_311
| ~ spl25_370 ),
inference(resolution,[],[f3572,f2985]) ).
fof(f8215,plain,
( spl25_935
| ~ spl25_370
| ~ spl25_634 ),
inference(avatar_split_clause,[],[f8198,f6080,f3571,f8212]) ).
fof(f8212,plain,
( spl25_935
<=> aElement0(sdtlpdtrp0(xN,sK11(szNzAzT0,sK7(xd)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_935])]) ).
fof(f8198,plain,
( aElement0(sdtlpdtrp0(xN,sK11(szNzAzT0,sK7(xd))))
| ~ spl25_370
| ~ spl25_634 ),
inference(resolution,[],[f3572,f6082]) ).
fof(f8210,plain,
( spl25_934
| ~ spl25_370
| ~ spl25_456 ),
inference(avatar_split_clause,[],[f8193,f4316,f3571,f8207]) ).
fof(f8207,plain,
( spl25_934
<=> aElement0(sdtlpdtrp0(xN,szszuzczcdt0(xK))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_934])]) ).
fof(f8193,plain,
( aElement0(sdtlpdtrp0(xN,szszuzczcdt0(xK)))
| ~ spl25_370
| ~ spl25_456 ),
inference(resolution,[],[f3572,f4317]) ).
fof(f8205,plain,
( spl25_933
| ~ spl25_209
| ~ spl25_370 ),
inference(avatar_split_clause,[],[f8197,f3571,f2153,f8202]) ).
fof(f8202,plain,
( spl25_933
<=> aElement0(sdtlpdtrp0(xN,sK7(xd))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_933])]) ).
fof(f8197,plain,
( aElement0(sdtlpdtrp0(xN,sK7(xd)))
| ~ spl25_209
| ~ spl25_370 ),
inference(resolution,[],[f3572,f2155]) ).
fof(f8190,plain,
( spl25_932
| ~ spl25_355
| ~ spl25_456 ),
inference(avatar_split_clause,[],[f8165,f4316,f3410,f8187]) ).
fof(f8187,plain,
( spl25_932
<=> aElement0(sdtlpdtrp0(xd,szszuzczcdt0(xK))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_932])]) ).
fof(f3410,plain,
( spl25_355
<=> ! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| aElement0(sdtlpdtrp0(xd,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_355])]) ).
fof(f8165,plain,
( aElement0(sdtlpdtrp0(xd,szszuzczcdt0(xK)))
| ~ spl25_355
| ~ spl25_456 ),
inference(resolution,[],[f3411,f4317]) ).
fof(f3411,plain,
( ! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| aElement0(sdtlpdtrp0(xd,X1)) )
| ~ spl25_355 ),
inference(avatar_component_clause,[],[f3410]) ).
fof(f8184,plain,
( spl25_931
| ~ spl25_311
| ~ spl25_355 ),
inference(avatar_split_clause,[],[f8171,f3410,f2983,f8181]) ).
fof(f8181,plain,
( spl25_931
<=> aElement0(sdtlpdtrp0(xd,sK13(szNzAzT0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_931])]) ).
fof(f8171,plain,
( aElement0(sdtlpdtrp0(xd,sK13(szNzAzT0)))
| ~ spl25_311
| ~ spl25_355 ),
inference(resolution,[],[f3411,f2985]) ).
fof(f8178,plain,
( spl25_930
| ~ spl25_355
| ~ spl25_634 ),
inference(avatar_split_clause,[],[f8170,f6080,f3410,f8175]) ).
fof(f8175,plain,
( spl25_930
<=> aElement0(sdtlpdtrp0(xd,sK11(szNzAzT0,sK7(xd)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_930])]) ).
fof(f8170,plain,
( aElement0(sdtlpdtrp0(xd,sK11(szNzAzT0,sK7(xd))))
| ~ spl25_355
| ~ spl25_634 ),
inference(resolution,[],[f3411,f6082]) ).
fof(f8162,plain,
( ~ spl25_894
| spl25_929
| ~ spl25_917
| ~ spl25_918 ),
inference(avatar_split_clause,[],[f8146,f8082,f8078,f8159,f7942]) ).
fof(f7942,plain,
( spl25_894
<=> aElementOf0(sK2,szDzozmdt0(sdtlpdtrp0(xC,xK))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_894])]) ).
fof(f8159,plain,
( spl25_929
<=> aElementOf0(sK2,sdtlbdtrb0(sdtlpdtrp0(xC,xK),sdtlpdtrp0(sdtlpdtrp0(xC,xK),sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_929])]) ).
fof(f8082,plain,
( spl25_918
<=> aElement0(sdtlpdtrp0(sdtlpdtrp0(xC,xK),sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_918])]) ).
fof(f8146,plain,
( ~ aFunction0(sdtlpdtrp0(xC,xK))
| aElementOf0(sK2,sdtlbdtrb0(sdtlpdtrp0(xC,xK),sdtlpdtrp0(sdtlpdtrp0(xC,xK),sK2)))
| ~ aElementOf0(sK2,szDzozmdt0(sdtlpdtrp0(xC,xK)))
| ~ spl25_918 ),
inference(resolution,[],[f8084,f533]) ).
fof(f8084,plain,
( aElement0(sdtlpdtrp0(sdtlpdtrp0(xC,xK),sK2))
| ~ spl25_918 ),
inference(avatar_component_clause,[],[f8082]) ).
fof(f8145,plain,
( spl25_928
| ~ spl25_879
| ~ spl25_917 ),
inference(avatar_split_clause,[],[f8125,f8078,f7825,f8143]) ).
fof(f8143,plain,
( spl25_928
<=> ! [X16] :
( sdtlcdtrc0(sdtlpdtrp0(xC,xK),szDzozmdt0(sdtlpdtrp0(xC,xK))) = X16
| sdtlpdtrp0(sdtlpdtrp0(xC,xK),sK21(sdtlpdtrp0(xC,xK),szDzozmdt0(sdtlpdtrp0(xC,xK)),X16)) = sK20(sdtlpdtrp0(xC,xK),szDzozmdt0(sdtlpdtrp0(xC,xK)),X16)
| aElementOf0(sK20(sdtlpdtrp0(xC,xK),szDzozmdt0(sdtlpdtrp0(xC,xK)),X16),X16)
| ~ aSet0(X16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_928])]) ).
fof(f7825,plain,
( spl25_879
<=> aSet0(szDzozmdt0(sdtlpdtrp0(xC,xK))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_879])]) ).
fof(f8125,plain,
( ! [X16] :
( ~ aSet0(szDzozmdt0(sdtlpdtrp0(xC,xK)))
| sdtlcdtrc0(sdtlpdtrp0(xC,xK),szDzozmdt0(sdtlpdtrp0(xC,xK))) = X16
| ~ aSet0(X16)
| aElementOf0(sK20(sdtlpdtrp0(xC,xK),szDzozmdt0(sdtlpdtrp0(xC,xK)),X16),X16)
| sdtlpdtrp0(sdtlpdtrp0(xC,xK),sK21(sdtlpdtrp0(xC,xK),szDzozmdt0(sdtlpdtrp0(xC,xK)),X16)) = sK20(sdtlpdtrp0(xC,xK),szDzozmdt0(sdtlpdtrp0(xC,xK)),X16) )
| ~ spl25_917 ),
inference(resolution,[],[f8079,f2469]) ).
fof(f2469,plain,
! [X0,X1] :
( ~ aFunction0(X1)
| ~ aSet0(X0)
| sK20(X1,szDzozmdt0(X1),X0) = sdtlpdtrp0(X1,sK21(X1,szDzozmdt0(X1),X0))
| aElementOf0(sK20(X1,szDzozmdt0(X1),X0),X0)
| sdtlcdtrc0(X1,szDzozmdt0(X1)) = X0
| ~ aSet0(szDzozmdt0(X1)) ),
inference(resolution,[],[f512,f484]) ).
fof(f484,plain,
! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( aSet0(X0)
=> aSubsetOf0(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubRefl) ).
fof(f512,plain,
! [X2,X0,X1] :
( ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aSet0(X2)
| sdtlcdtrc0(X0,X1) = X2
| aElementOf0(sK20(X0,X1,X2),X2)
| sdtlpdtrp0(X0,sK21(X0,X1,X2)) = sK20(X0,X1,X2)
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f331]) ).
fof(f8141,plain,
( spl25_927
| ~ spl25_344
| ~ spl25_917 ),
inference(avatar_split_clause,[],[f8127,f8078,f3279,f8138]) ).
fof(f8138,plain,
( spl25_927
<=> aSubsetOf0(sdtlbdtrb0(sdtlpdtrp0(xC,xK),sK13(sdtmndt0(xO,sK2))),szDzozmdt0(sdtlpdtrp0(xC,xK))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_927])]) ).
fof(f3279,plain,
( spl25_344
<=> aElement0(sK13(sdtmndt0(xO,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_344])]) ).
fof(f8127,plain,
( aSubsetOf0(sdtlbdtrb0(sdtlpdtrp0(xC,xK),sK13(sdtmndt0(xO,sK2))),szDzozmdt0(sdtlpdtrp0(xC,xK)))
| ~ spl25_344
| ~ spl25_917 ),
inference(resolution,[],[f8079,f3294]) ).
fof(f3294,plain,
( ! [X9] :
( ~ aFunction0(X9)
| aSubsetOf0(sdtlbdtrb0(X9,sK13(sdtmndt0(xO,sK2))),szDzozmdt0(X9)) )
| ~ spl25_344 ),
inference(resolution,[],[f3281,f425]) ).
fof(f3281,plain,
( aElement0(sK13(sdtmndt0(xO,sK2)))
| ~ spl25_344 ),
inference(avatar_component_clause,[],[f3279]) ).
fof(f8136,plain,
( spl25_926
| ~ spl25_116
| ~ spl25_917 ),
inference(avatar_split_clause,[],[f8126,f8078,f1400,f8133]) ).
fof(f8133,plain,
( spl25_926
<=> aSubsetOf0(sdtlbdtrb0(sdtlpdtrp0(xC,xK),sK2),szDzozmdt0(sdtlpdtrp0(xC,xK))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_926])]) ).
fof(f8126,plain,
( aSubsetOf0(sdtlbdtrb0(sdtlpdtrp0(xC,xK),sK2),szDzozmdt0(sdtlpdtrp0(xC,xK)))
| ~ spl25_116
| ~ spl25_917 ),
inference(resolution,[],[f8079,f2592]) ).
fof(f2592,plain,
( ! [X9] :
( ~ aFunction0(X9)
| aSubsetOf0(sdtlbdtrb0(X9,sK2),szDzozmdt0(X9)) )
| ~ spl25_116 ),
inference(resolution,[],[f1401,f425]) ).
fof(f8131,plain,
( ~ spl25_879
| spl25_925
| ~ spl25_917 ),
inference(avatar_split_clause,[],[f8124,f8078,f8129,f7825]) ).
fof(f8129,plain,
( spl25_925
<=> ! [X15] :
( sdtlcdtrc0(sdtlpdtrp0(xC,xK),szDzozmdt0(sdtlpdtrp0(xC,xK))) = X15
| ~ aSet0(X15)
| aElementOf0(sK21(sdtlpdtrp0(xC,xK),szDzozmdt0(sdtlpdtrp0(xC,xK)),X15),szDzozmdt0(sdtlpdtrp0(xC,xK)))
| aElementOf0(sK20(sdtlpdtrp0(xC,xK),szDzozmdt0(sdtlpdtrp0(xC,xK)),X15),X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_925])]) ).
fof(f8124,plain,
( ! [X15] :
( sdtlcdtrc0(sdtlpdtrp0(xC,xK),szDzozmdt0(sdtlpdtrp0(xC,xK))) = X15
| aElementOf0(sK20(sdtlpdtrp0(xC,xK),szDzozmdt0(sdtlpdtrp0(xC,xK)),X15),X15)
| aElementOf0(sK21(sdtlpdtrp0(xC,xK),szDzozmdt0(sdtlpdtrp0(xC,xK)),X15),szDzozmdt0(sdtlpdtrp0(xC,xK)))
| ~ aSet0(X15)
| ~ aSet0(szDzozmdt0(sdtlpdtrp0(xC,xK))) )
| ~ spl25_917 ),
inference(resolution,[],[f8079,f2444]) ).
fof(f2444,plain,
! [X0,X1] :
( ~ aFunction0(X1)
| aElementOf0(sK21(X1,szDzozmdt0(X1),X0),szDzozmdt0(X1))
| ~ aSet0(szDzozmdt0(X1))
| aElementOf0(sK20(X1,szDzozmdt0(X1),X0),X0)
| ~ aSet0(X0)
| sdtlcdtrc0(X1,szDzozmdt0(X1)) = X0 ),
inference(resolution,[],[f511,f484]) ).
fof(f511,plain,
! [X2,X0,X1] :
( ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aSet0(X2)
| ~ aFunction0(X0)
| aElementOf0(sK20(X0,X1,X2),X2)
| sdtlcdtrc0(X0,X1) = X2
| aElementOf0(sK21(X0,X1,X2),X1) ),
inference(cnf_transformation,[],[f331]) ).
fof(f8115,plain,
( ~ spl25_29
| spl25_917 ),
inference(avatar_split_clause,[],[f8114,f8078,f718]) ).
fof(f8114,plain,
( ~ aElementOf0(xK,szNzAzT0)
| spl25_917 ),
inference(resolution,[],[f8080,f436]) ).
fof(f436,plain,
! [X0] :
( aFunction0(sdtlpdtrp0(xC,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f236]) ).
fof(f236,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ( aFunction0(sdtlpdtrp0(xC,X0))
& ! [X1] :
( ~ aSet0(X1)
| sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk)) )
& slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk) = szDzozmdt0(sdtlpdtrp0(xC,X0)) ) )
& aFunction0(xC)
& szNzAzT0 = szDzozmdt0(xC) ),
inference(flattening,[],[f235]) ).
fof(f235,plain,
( ! [X0] :
( ( aFunction0(sdtlpdtrp0(xC,X0))
& ! [X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aSet0(X1)
| ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk)) )
& slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk) = szDzozmdt0(sdtlpdtrp0(xC,X0)) )
| ~ aElementOf0(X0,szNzAzT0) )
& szNzAzT0 = szDzozmdt0(xC)
& aFunction0(xC) ),
inference(ennf_transformation,[],[f86]) ).
fof(f86,axiom,
( ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( aFunction0(sdtlpdtrp0(xC,X0))
& ! [X1] :
( ( aSet0(X1)
& aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk)) )
=> sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk) = szDzozmdt0(sdtlpdtrp0(xC,X0)) ) )
& szNzAzT0 = szDzozmdt0(xC)
& aFunction0(xC) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4151) ).
fof(f8080,plain,
( ~ aFunction0(sdtlpdtrp0(xC,xK))
| spl25_917 ),
inference(avatar_component_clause,[],[f8078]) ).
fof(f8113,plain,
( ~ spl25_920
| spl25_924
| ~ spl25_137
| ~ spl25_894 ),
inference(avatar_split_clause,[],[f8069,f7942,f1530,f8111,f8091]) ).
fof(f8091,plain,
( spl25_920
<=> aSet0(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_920])]) ).
fof(f8111,plain,
( spl25_924
<=> ! [X0] :
( ~ aSubsetOf0(sdtmndt0(sdtlpdtrp0(xN,xK),sdtlpdtrp0(xe,xK)),sdtmndt0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xe,X0)))
| ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(sK2,szDzozmdt0(sdtlpdtrp0(xC,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_924])]) ).
fof(f1530,plain,
( spl25_137
<=> ! [X0,X1] :
( aElementOf0(X0,szDzozmdt0(sdtlpdtrp0(xC,X1)))
| ~ aSet0(X0)
| ~ aSubsetOf0(sdtmndt0(sdtlpdtrp0(xN,xK),sdtlpdtrp0(xe,xK)),sdtmndt0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xe,X1)))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szDzozmdt0(sdtlpdtrp0(xC,xK))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_137])]) ).
fof(f8069,plain,
( ! [X0] :
( ~ aSubsetOf0(sdtmndt0(sdtlpdtrp0(xN,xK),sdtlpdtrp0(xe,xK)),sdtmndt0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xe,X0)))
| aElementOf0(sK2,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| ~ aSet0(sK2)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl25_137
| ~ spl25_894 ),
inference(resolution,[],[f7944,f1531]) ).
fof(f1531,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,szDzozmdt0(sdtlpdtrp0(xC,xK)))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0)
| aElementOf0(X0,szDzozmdt0(sdtlpdtrp0(xC,X1)))
| ~ aSubsetOf0(sdtmndt0(sdtlpdtrp0(xN,xK),sdtlpdtrp0(xe,xK)),sdtmndt0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xe,X1))) )
| ~ spl25_137 ),
inference(avatar_component_clause,[],[f1530]) ).
fof(f7944,plain,
( aElementOf0(sK2,szDzozmdt0(sdtlpdtrp0(xC,xK)))
| ~ spl25_894 ),
inference(avatar_component_clause,[],[f7942]) ).
fof(f8109,plain,
( ~ spl25_917
| spl25_923
| ~ spl25_894 ),
inference(avatar_split_clause,[],[f8073,f7942,f8106,f8078]) ).
fof(f8106,plain,
( spl25_923
<=> aElementOf0(sdtlpdtrp0(sdtlpdtrp0(xC,xK),sK2),sdtlcdtrc0(sdtlpdtrp0(xC,xK),szDzozmdt0(sdtlpdtrp0(xC,xK)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_923])]) ).
fof(f8073,plain,
( aElementOf0(sdtlpdtrp0(sdtlpdtrp0(xC,xK),sK2),sdtlcdtrc0(sdtlpdtrp0(xC,xK),szDzozmdt0(sdtlpdtrp0(xC,xK))))
| ~ aFunction0(sdtlpdtrp0(xC,xK))
| ~ spl25_894 ),
inference(resolution,[],[f7944,f478]) ).
fof(f478,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szDzozmdt0(X0))
| aElementOf0(sdtlpdtrp0(X0,X1),sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f230]) ).
fof(f230,plain,
! [X0] :
( ! [X1] :
( ~ aElementOf0(X1,szDzozmdt0(X0))
| aElementOf0(sdtlpdtrp0(X0,X1),sdtlcdtrc0(X0,szDzozmdt0(X0))) )
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,axiom,
! [X0] :
( aFunction0(X0)
=> ! [X1] :
( aElementOf0(X1,szDzozmdt0(X0))
=> aElementOf0(sdtlpdtrp0(X0,X1),sdtlcdtrc0(X0,szDzozmdt0(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mImgRng) ).
fof(f8104,plain,
( ~ spl25_920
| ~ spl25_29
| spl25_922
| ~ spl25_894 ),
inference(avatar_split_clause,[],[f8070,f7942,f8101,f718,f8091]) ).
fof(f8101,plain,
( spl25_922
<=> sdtlpdtrp0(sdtlpdtrp0(xC,xK),sK2) = sdtlpdtrp0(xc,sdtpldt0(sK2,sdtlpdtrp0(xe,xK))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_922])]) ).
fof(f8070,plain,
( sdtlpdtrp0(sdtlpdtrp0(xC,xK),sK2) = sdtlpdtrp0(xc,sdtpldt0(sK2,sdtlpdtrp0(xe,xK)))
| ~ aElementOf0(xK,szNzAzT0)
| ~ aSet0(sK2)
| ~ spl25_894 ),
inference(resolution,[],[f7944,f1261]) ).
fof(f1261,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| ~ aSet0(X1)
| sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,sdtlpdtrp0(xe,X0)))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(forward_subsumption_demodulation,[],[f691,f734]) ).
fof(f734,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| szDzozmdt0(sdtlpdtrp0(xC,X0)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xe,X0)),xk) ),
inference(forward_subsumption_demodulation,[],[f434,f357]) ).
fof(f434,plain,
! [X0] :
( slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk) = szDzozmdt0(sdtlpdtrp0(xC,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f236]) ).
fof(f691,plain,
! [X0,X1] :
( ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xe,X0)),xk))
| ~ aElementOf0(X0,szNzAzT0)
| sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,sdtlpdtrp0(xe,X0)))
| ~ aSet0(X1) ),
inference(forward_subsumption_demodulation,[],[f690,f357]) ).
fof(f690,plain,
! [X0,X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,sdtlpdtrp0(xe,X0)))
| ~ aSet0(X1)
| ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(forward_subsumption_demodulation,[],[f435,f357]) ).
fof(f435,plain,
! [X0,X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(X1) ),
inference(cnf_transformation,[],[f236]) ).
fof(f8099,plain,
( ~ spl25_879
| spl25_921
| ~ spl25_894 ),
inference(avatar_split_clause,[],[f8075,f7942,f8096,f7825]) ).
fof(f8096,plain,
( spl25_921
<=> sdtpldt0(sdtmndt0(szDzozmdt0(sdtlpdtrp0(xC,xK)),sK2),sK2) = szDzozmdt0(sdtlpdtrp0(xC,xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_921])]) ).
fof(f8075,plain,
( sdtpldt0(sdtmndt0(szDzozmdt0(sdtlpdtrp0(xC,xK)),sK2),sK2) = szDzozmdt0(sdtlpdtrp0(xC,xK))
| ~ aSet0(szDzozmdt0(sdtlpdtrp0(xC,xK)))
| ~ spl25_894 ),
inference(resolution,[],[f7944,f410]) ).
fof(f8094,plain,
( ~ spl25_29
| spl25_919
| ~ spl25_920
| ~ spl25_9
| ~ spl25_894 ),
inference(avatar_split_clause,[],[f8071,f7942,f614,f8091,f8087,f718]) ).
fof(f8087,plain,
( spl25_919
<=> aElementOf0(sdtpldt0(sK2,sdtlpdtrp0(xe,xK)),szDzozmdt0(xc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_919])]) ).
fof(f614,plain,
( spl25_9
<=> szDzozmdt0(xc) = slbdtsldtrb0(xS,xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_9])]) ).
fof(f8071,plain,
( ~ aSet0(sK2)
| aElementOf0(sdtpldt0(sK2,sdtlpdtrp0(xe,xK)),szDzozmdt0(xc))
| ~ aElementOf0(xK,szNzAzT0)
| ~ spl25_9
| ~ spl25_894 ),
inference(resolution,[],[f7944,f759]) ).
fof(f759,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(X1)
| aElementOf0(sdtpldt0(X1,sdtlpdtrp0(xe,X0)),szDzozmdt0(xc)) )
| ~ spl25_9 ),
inference(forward_subsumption_demodulation,[],[f758,f357]) ).
fof(f758,plain,
( ! [X0,X1] :
( aElementOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),szDzozmdt0(xc))
| ~ aSet0(X1)
| ~ aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl25_9 ),
inference(forward_subsumption_demodulation,[],[f757,f734]) ).
fof(f757,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(X1)
| ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xe,X0)),xk))
| aElementOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),szDzozmdt0(xc)) )
| ~ spl25_9 ),
inference(forward_subsumption_demodulation,[],[f756,f357]) ).
fof(f756,plain,
( ! [X0,X1] :
( ~ aSet0(X1)
| ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
| aElementOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),szDzozmdt0(xc))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl25_9 ),
inference(backward_demodulation,[],[f491,f616]) ).
fof(f616,plain,
( szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
| ~ spl25_9 ),
inference(avatar_component_clause,[],[f614]) ).
fof(f491,plain,
! [X0,X1] :
( aElementOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),slbdtsldtrb0(xS,xK))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
| ~ aSet0(X1) ),
inference(cnf_transformation,[],[f191]) ).
fof(f191,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ! [X1] :
( ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
| aElementOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),slbdtsldtrb0(xS,xK))
| ~ aSet0(X1) ) ),
inference(flattening,[],[f190]) ).
fof(f190,plain,
! [X0] :
( ! [X1] :
( aElementOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),slbdtsldtrb0(xS,xK))
| ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
| ~ aSet0(X1) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f85]) ).
fof(f85,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( ( aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& aSet0(X1) )
=> aElementOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),slbdtsldtrb0(xS,xK)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3965) ).
fof(f8085,plain,
( ~ spl25_917
| spl25_918
| ~ spl25_894 ),
inference(avatar_split_clause,[],[f8072,f7942,f8082,f8078]) ).
fof(f8072,plain,
( aElement0(sdtlpdtrp0(sdtlpdtrp0(xC,xK),sK2))
| ~ aFunction0(sdtlpdtrp0(xC,xK))
| ~ spl25_894 ),
inference(resolution,[],[f7944,f504]) ).
fof(f504,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0)
| aElement0(sdtlpdtrp0(X0,X1)) ),
inference(cnf_transformation,[],[f157]) ).
fof(f157,plain,
! [X0] :
( ! [X1] :
( aElement0(sdtlpdtrp0(X0,X1))
| ~ aElementOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f65]) ).
fof(f65,axiom,
! [X0] :
( aFunction0(X0)
=> ! [X1] :
( aElementOf0(X1,szDzozmdt0(X0))
=> aElement0(sdtlpdtrp0(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mImgElm) ).
fof(f8068,plain,
( spl25_916
| ~ spl25_896
| ~ spl25_908
| ~ spl25_226 ),
inference(avatar_split_clause,[],[f7960,f2244,f8025,f7975,f8065]) ).
fof(f8065,plain,
( spl25_916
<=> aSubsetOf0(sdtlpdtrp0(xN,sK7(xd)),sdtmndt0(sdtlpdtrp0(xN,sK1(sK7(xd))),sdtlpdtrp0(xe,sK1(sK7(xd))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_916])]) ).
fof(f7975,plain,
( spl25_896
<=> aElementOf0(sK1(sK7(xd)),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_896])]) ).
fof(f8025,plain,
( spl25_908
<=> isCountable0(sdtlpdtrp0(xN,sK1(sK7(xd)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_908])]) ).
fof(f2244,plain,
( spl25_226
<=> sK7(xd) = szszuzczcdt0(sK1(sK7(xd))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_226])]) ).
fof(f7960,plain,
( ~ isCountable0(sdtlpdtrp0(xN,sK1(sK7(xd))))
| ~ aElementOf0(sK1(sK7(xd)),szNzAzT0)
| aSubsetOf0(sdtlpdtrp0(xN,sK7(xd)),sdtmndt0(sdtlpdtrp0(xN,sK1(sK7(xd))),sdtlpdtrp0(xe,sK1(sK7(xd)))))
| ~ spl25_226 ),
inference(superposition,[],[f899,f2246]) ).
fof(f2246,plain,
( sK7(xd) = szszuzczcdt0(sK1(sK7(xd)))
| ~ spl25_226 ),
inference(avatar_component_clause,[],[f2244]) ).
fof(f8063,plain,
( ~ spl25_896
| ~ spl25_633
| ~ spl25_226 ),
inference(avatar_split_clause,[],[f7956,f2244,f6066,f7975]) ).
fof(f6066,plain,
( spl25_633
<=> sdtlseqdt0(sK7(xd),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_633])]) ).
fof(f7956,plain,
( ~ sdtlseqdt0(sK7(xd),sz00)
| ~ aElementOf0(sK1(sK7(xd)),szNzAzT0)
| ~ spl25_226 ),
inference(superposition,[],[f476,f2246]) ).
fof(f476,plain,
! [X0] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),sz00)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f239]) ).
fof(f239,plain,
! [X0] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),sz00)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ~ sdtlseqdt0(szszuzczcdt0(X0),sz00) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNoScLessZr) ).
fof(f8062,plain,
( spl25_915
| ~ spl25_896
| ~ spl25_226 ),
inference(avatar_split_clause,[],[f7953,f2244,f7975,f8060]) ).
fof(f8060,plain,
( spl25_915
<=> ! [X2] :
( sdtlseqdt0(szszuzczcdt0(X2),sK7(xd))
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(X2,sK1(sK7(xd))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_915])]) ).
fof(f7953,plain,
( ! [X2] :
( ~ aElementOf0(sK1(sK7(xd)),szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X2),sK7(xd))
| ~ sdtlseqdt0(X2,sK1(sK7(xd)))
| ~ aElementOf0(X2,szNzAzT0) )
| ~ spl25_226 ),
inference(superposition,[],[f421,f2246]) ).
fof(f421,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f280]) ).
fof(f280,plain,
! [X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| ( ( sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X0))
| ~ sdtlseqdt0(X1,X0) )
& ( sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X0)) ) )
| ~ aElementOf0(X1,szNzAzT0) ),
inference(nnf_transformation,[],[f215]) ).
fof(f215,plain,
! [X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| ( sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X0))
<=> sdtlseqdt0(X1,X0) )
| ~ aElementOf0(X1,szNzAzT0) ),
inference(flattening,[],[f214]) ).
fof(f214,plain,
! [X1,X0] :
( ( sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X0))
<=> sdtlseqdt0(X1,X0) )
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(ennf_transformation,[],[f105]) ).
fof(f105,plain,
! [X1,X0] :
( ( aElementOf0(X0,szNzAzT0)
& aElementOf0(X1,szNzAzT0) )
=> ( sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X0))
<=> sdtlseqdt0(X1,X0) ) ),
inference(rectify,[],[f32]) ).
fof(f32,axiom,
! [X1,X0] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
<=> sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccLess) ).
fof(f8058,plain,
( spl25_914
| ~ spl25_896
| ~ spl25_226 ),
inference(avatar_split_clause,[],[f7950,f2244,f7975,f8055]) ).
fof(f8055,plain,
( spl25_914
<=> sdtlseqdt0(sK1(sK7(xd)),sK7(xd)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_914])]) ).
fof(f7950,plain,
( ~ aElementOf0(sK1(sK7(xd)),szNzAzT0)
| sdtlseqdt0(sK1(sK7(xd)),sK7(xd))
| ~ spl25_226 ),
inference(superposition,[],[f383,f2246]) ).
fof(f383,plain,
! [X0] :
( sdtlseqdt0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
! [X0] :
( sdtlseqdt0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sdtlseqdt0(X0,szszuzczcdt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessSucc) ).
fof(f8053,plain,
( ~ spl25_895
| ~ spl25_896
| spl25_897
| ~ spl25_92
| ~ spl25_141
| ~ spl25_226 ),
inference(avatar_split_clause,[],[f7964,f2244,f1556,f1152,f7979,f7975,f7971]) ).
fof(f7971,plain,
( spl25_895
<=> sdtlseqdt0(sK7(xd),xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_895])]) ).
fof(f7979,plain,
( spl25_897
<=> sdtlseqdt0(sK1(sK7(xd)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_897])]) ).
fof(f1152,plain,
( spl25_92
<=> sz00 = xk ),
introduced(avatar_definition,[new_symbols(naming,[spl25_92])]) ).
fof(f1556,plain,
( spl25_141
<=> ! [X0] :
( sdtlseqdt0(X0,xk)
| ~ sdtlseqdt0(szszuzczcdt0(X0),xK)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_141])]) ).
fof(f7964,plain,
( sdtlseqdt0(sK1(sK7(xd)),sz00)
| ~ aElementOf0(sK1(sK7(xd)),szNzAzT0)
| ~ sdtlseqdt0(sK7(xd),xK)
| ~ spl25_92
| ~ spl25_141
| ~ spl25_226 ),
inference(superposition,[],[f1818,f2246]) ).
fof(f1818,plain,
( ! [X0] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),xK)
| sdtlseqdt0(X0,sz00)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl25_92
| ~ spl25_141 ),
inference(backward_demodulation,[],[f1557,f1154]) ).
fof(f1154,plain,
( sz00 = xk
| ~ spl25_92 ),
inference(avatar_component_clause,[],[f1152]) ).
fof(f1557,plain,
( ! [X0] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),xK)
| sdtlseqdt0(X0,xk)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl25_141 ),
inference(avatar_component_clause,[],[f1556]) ).
fof(f8052,plain,
( ~ spl25_913
| ~ spl25_896
| ~ spl25_226 ),
inference(avatar_split_clause,[],[f7949,f2244,f7975,f8049]) ).
fof(f8049,plain,
( spl25_913
<=> sK7(xd) = sK1(sK7(xd)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_913])]) ).
fof(f7949,plain,
( ~ aElementOf0(sK1(sK7(xd)),szNzAzT0)
| sK7(xd) != sK1(sK7(xd))
| ~ spl25_226 ),
inference(superposition,[],[f379,f2246]) ).
fof(f379,plain,
! [X0] :
( szszuzczcdt0(X0) != X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0] :
( szszuzczcdt0(X0) != X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> szszuzczcdt0(X0) != X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNatNSucc) ).
fof(f8047,plain,
( spl25_632
| ~ spl25_896
| ~ spl25_912
| ~ spl25_92
| ~ spl25_143
| ~ spl25_226 ),
inference(avatar_split_clause,[],[f7965,f2244,f1568,f1152,f8044,f7975,f6062]) ).
fof(f6062,plain,
( spl25_632
<=> sdtlseqdt0(xK,sK7(xd)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_632])]) ).
fof(f8044,plain,
( spl25_912
<=> sdtlseqdt0(sz00,sK1(sK7(xd))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_912])]) ).
fof(f1568,plain,
( spl25_143
<=> ! [X0] :
( ~ sdtlseqdt0(xk,X0)
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(xK,szszuzczcdt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_143])]) ).
fof(f7965,plain,
( ~ sdtlseqdt0(sz00,sK1(sK7(xd)))
| ~ aElementOf0(sK1(sK7(xd)),szNzAzT0)
| sdtlseqdt0(xK,sK7(xd))
| ~ spl25_92
| ~ spl25_143
| ~ spl25_226 ),
inference(superposition,[],[f1820,f2246]) ).
fof(f1820,plain,
( ! [X0] :
( sdtlseqdt0(xK,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(sz00,X0) )
| ~ spl25_92
| ~ spl25_143 ),
inference(backward_demodulation,[],[f1569,f1154]) ).
fof(f1569,plain,
( ! [X0] :
( sdtlseqdt0(xK,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(xk,X0) )
| ~ spl25_143 ),
inference(avatar_component_clause,[],[f1568]) ).
fof(f8042,plain,
( ~ spl25_896
| spl25_904
| ~ spl25_226 ),
inference(avatar_split_clause,[],[f7958,f2244,f8009,f7975]) ).
fof(f8009,plain,
( spl25_904
<=> ! [X6] :
( sK1(sK7(xd)) = X6
| sK7(xd) != szszuzczcdt0(X6)
| ~ aElementOf0(X6,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_904])]) ).
fof(f7958,plain,
( ! [X5] :
( ~ aElementOf0(X5,szNzAzT0)
| sK1(sK7(xd)) = X5
| sK7(xd) != szszuzczcdt0(X5)
| ~ aElementOf0(sK1(sK7(xd)),szNzAzT0) )
| ~ spl25_226 ),
inference(superposition,[],[f514,f2246]) ).
fof(f514,plain,
! [X0,X1] :
( szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| X0 = X1 ),
inference(cnf_transformation,[],[f332]) ).
fof(f332,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| X0 = X1 ),
inference(rectify,[],[f127]) ).
fof(f127,plain,
! [X1,X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| X0 = X1 ),
inference(flattening,[],[f126]) ).
fof(f126,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( szszuzczcdt0(X0) = szszuzczcdt0(X1)
=> X0 = X1 ) ),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X1,X0] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( szszuzczcdt0(X0) = szszuzczcdt0(X1)
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccEquSucc) ).
fof(f8041,plain,
( ~ spl25_896
| spl25_628
| ~ spl25_911
| ~ spl25_92
| ~ spl25_150
| ~ spl25_226 ),
inference(avatar_split_clause,[],[f7967,f2244,f1612,f1152,f8038,f6041,f7975]) ).
fof(f6041,plain,
( spl25_628
<=> sz00 = sK1(sK7(xd)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_628])]) ).
fof(f8038,plain,
( spl25_911
<=> xK = sK7(xd) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_911])]) ).
fof(f1612,plain,
( spl25_150
<=> ! [X0] :
( xk = X0
| ~ aElementOf0(X0,szNzAzT0)
| szszuzczcdt0(X0) != xK ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_150])]) ).
fof(f7967,plain,
( xK != sK7(xd)
| sz00 = sK1(sK7(xd))
| ~ aElementOf0(sK1(sK7(xd)),szNzAzT0)
| ~ spl25_92
| ~ spl25_150
| ~ spl25_226 ),
inference(superposition,[],[f1822,f2246]) ).
fof(f1822,plain,
( ! [X0] :
( szszuzczcdt0(X0) != xK
| ~ aElementOf0(X0,szNzAzT0)
| sz00 = X0 )
| ~ spl25_92
| ~ spl25_150 ),
inference(backward_demodulation,[],[f1613,f1154]) ).
fof(f1613,plain,
( ! [X0] :
( szszuzczcdt0(X0) != xK
| ~ aElementOf0(X0,szNzAzT0)
| xk = X0 )
| ~ spl25_150 ),
inference(avatar_component_clause,[],[f1612]) ).
fof(f8036,plain,
( spl25_910
| ~ spl25_896
| ~ spl25_226 ),
inference(avatar_split_clause,[],[f7952,f2244,f7975,f8034]) ).
fof(f8034,plain,
( spl25_910
<=> ! [X1] :
( sdtlseqdt0(sK1(sK7(xd)),X1)
| ~ sdtlseqdt0(sK7(xd),szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_910])]) ).
fof(f7952,plain,
( ! [X1] :
( ~ aElementOf0(sK1(sK7(xd)),szNzAzT0)
| sdtlseqdt0(sK1(sK7(xd)),X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(sK7(xd),szszuzczcdt0(X1)) )
| ~ spl25_226 ),
inference(superposition,[],[f420,f2246]) ).
fof(f420,plain,
! [X0,X1] :
( ~ sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X0))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X1,X0) ),
inference(cnf_transformation,[],[f280]) ).
fof(f8032,plain,
( ~ spl25_896
| spl25_909
| ~ spl25_226 ),
inference(avatar_split_clause,[],[f7954,f2244,f8030,f7975]) ).
fof(f8030,plain,
( spl25_909
<=> ! [X3] :
( ~ aElementOf0(X3,szNzAzT0)
| sdtlseqdt0(sK7(xd),szszuzczcdt0(X3))
| ~ sdtlseqdt0(sK1(sK7(xd)),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_909])]) ).
fof(f7954,plain,
( ! [X3] :
( ~ aElementOf0(X3,szNzAzT0)
| ~ sdtlseqdt0(sK1(sK7(xd)),X3)
| sdtlseqdt0(sK7(xd),szszuzczcdt0(X3))
| ~ aElementOf0(sK1(sK7(xd)),szNzAzT0) )
| ~ spl25_226 ),
inference(superposition,[],[f421,f2246]) ).
fof(f8028,plain,
( ~ spl25_906
| spl25_907
| ~ spl25_908
| ~ spl25_896
| ~ spl25_226 ),
inference(avatar_split_clause,[],[f7948,f2244,f7975,f8025,f8021,f8017]) ).
fof(f8017,plain,
( spl25_906
<=> aSubsetOf0(sdtlpdtrp0(xN,sK1(sK7(xd))),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_906])]) ).
fof(f8021,plain,
( spl25_907
<=> isCountable0(sdtlpdtrp0(xN,sK7(xd))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_907])]) ).
fof(f7948,plain,
( ~ aElementOf0(sK1(sK7(xd)),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,sK1(sK7(xd))))
| isCountable0(sdtlpdtrp0(xN,sK7(xd)))
| ~ aSubsetOf0(sdtlpdtrp0(xN,sK1(sK7(xd))),szNzAzT0)
| ~ spl25_226 ),
inference(superposition,[],[f362,f2246]) ).
fof(f362,plain,
! [X0] :
( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X0)) ),
inference(cnf_transformation,[],[f135]) ).
fof(f8015,plain,
( spl25_905
| ~ spl25_896
| ~ spl25_92
| ~ spl25_226 ),
inference(avatar_split_clause,[],[f7962,f2244,f1152,f7975,f8013]) ).
fof(f8013,plain,
( spl25_905
<=> ! [X8] :
( ~ aElementOf0(X8,slbdtsldtrb0(sdtlpdtrp0(xN,sK7(xd)),sz00))
| ~ aSet0(X8)
| sdtlpdtrp0(sdtlpdtrp0(xC,sK1(sK7(xd))),X8) = sK19(sK1(sK7(xd))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_905])]) ).
fof(f7962,plain,
( ! [X8] :
( ~ aElementOf0(sK1(sK7(xd)),szNzAzT0)
| ~ aElementOf0(X8,slbdtsldtrb0(sdtlpdtrp0(xN,sK7(xd)),sz00))
| sdtlpdtrp0(sdtlpdtrp0(xC,sK1(sK7(xd))),X8) = sK19(sK1(sK7(xd)))
| ~ aSet0(X8) )
| ~ spl25_92
| ~ spl25_226 ),
inference(superposition,[],[f1780,f2246]) ).
fof(f1780,plain,
( ! [X2,X0] :
( ~ aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sz00))
| sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) = sK19(X0)
| ~ aSet0(X2)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl25_92 ),
inference(backward_demodulation,[],[f505,f1154]) ).
fof(f505,plain,
! [X2,X0] :
( ~ aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
| ~ aElementOf0(X0,szNzAzT0)
| sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) = sK19(X0)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f324]) ).
fof(f324,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ( aElementOf0(sK19(X0),xT)
& ! [X2] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) = sK19(X0)
| ~ aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
| ~ aSet0(X2) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f140,f323]) ).
fof(f323,plain,
! [X0] :
( ? [X1] :
( aElementOf0(X1,xT)
& ! [X2] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) = X1
| ~ aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
| ~ aSet0(X2) ) )
=> ( aElementOf0(sK19(X0),xT)
& ! [X2] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) = sK19(X0)
| ~ aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
| ~ aSet0(X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f140,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ? [X1] :
( aElementOf0(X1,xT)
& ! [X2] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) = X1
| ~ aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
| ~ aSet0(X2) ) ) ),
inference(flattening,[],[f139]) ).
fof(f139,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) = X1
| ~ aSet0(X2)
| ~ aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk)) )
& aElementOf0(X1,xT) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f90]) ).
fof(f90,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ? [X1] :
( ! [X2] :
( ( aSet0(X2)
& aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk)) )
=> sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) = X1 )
& aElementOf0(X1,xT) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4618) ).
fof(f8011,plain,
( ~ spl25_896
| spl25_904
| ~ spl25_226 ),
inference(avatar_split_clause,[],[f7959,f2244,f8009,f7975]) ).
fof(f7959,plain,
( ! [X6] :
( sK1(sK7(xd)) = X6
| ~ aElementOf0(X6,szNzAzT0)
| ~ aElementOf0(sK1(sK7(xd)),szNzAzT0)
| sK7(xd) != szszuzczcdt0(X6) )
| ~ spl25_226 ),
inference(superposition,[],[f514,f2246]) ).
fof(f8007,plain,
( spl25_903
| ~ spl25_896
| ~ spl25_226 ),
inference(avatar_split_clause,[],[f7957,f2244,f7975,f8004]) ).
fof(f8004,plain,
( spl25_903
<=> iLess0(sK1(sK7(xd)),sK7(xd)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_903])]) ).
fof(f7957,plain,
( ~ aElementOf0(sK1(sK7(xd)),szNzAzT0)
| iLess0(sK1(sK7(xd)),sK7(xd))
| ~ spl25_226 ),
inference(superposition,[],[f483,f2246]) ).
fof(f483,plain,
! [X0] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f184]) ).
fof(f184,plain,
! [X0] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> iLess0(X0,szszuzczcdt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIH) ).
fof(f8002,plain,
( spl25_902
| ~ spl25_896
| ~ spl25_226 ),
inference(avatar_split_clause,[],[f7951,f2244,f7975,f8000]) ).
fof(f8000,plain,
( spl25_902
<=> ! [X0] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),sK7(xd))
| sdtlseqdt0(X0,sK1(sK7(xd)))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_902])]) ).
fof(f7951,plain,
( ! [X0] :
( ~ aElementOf0(sK1(sK7(xd)),szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X0),sK7(xd))
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,sK1(sK7(xd))) )
| ~ spl25_226 ),
inference(superposition,[],[f420,f2246]) ).
fof(f7998,plain,
( ~ spl25_896
| spl25_901
| ~ spl25_226 ),
inference(avatar_split_clause,[],[f7955,f2244,f7996,f7975]) ).
fof(f7996,plain,
( spl25_901
<=> ! [X4] :
( ~ aElementOf0(X4,szNzAzT0)
| sdtlseqdt0(X4,sK1(sK7(xd)))
| sdtlseqdt0(sK7(xd),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_901])]) ).
fof(f7955,plain,
( ! [X4] :
( ~ aElementOf0(X4,szNzAzT0)
| sdtlseqdt0(sK7(xd),X4)
| ~ aElementOf0(sK1(sK7(xd)),szNzAzT0)
| sdtlseqdt0(X4,sK1(sK7(xd))) )
| ~ spl25_226 ),
inference(superposition,[],[f474,f2246]) ).
fof(f474,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f304]) ).
fof(f304,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,X1) ),
inference(rectify,[],[f227]) ).
fof(f227,plain,
! [X1,X0] :
( sdtlseqdt0(szszuzczcdt0(X0),X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(X1,X0) ),
inference(flattening,[],[f226]) ).
fof(f226,plain,
! [X1,X0] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(szszuzczcdt0(X0),X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(ennf_transformation,[],[f107]) ).
fof(f107,plain,
! [X1,X0] :
( ( aElementOf0(X0,szNzAzT0)
& aElementOf0(X1,szNzAzT0) )
=> ( sdtlseqdt0(X1,X0)
| sdtlseqdt0(szszuzczcdt0(X0),X1) ) ),
inference(rectify,[],[f37]) ).
fof(f37,axiom,
! [X1,X0] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessTotal) ).
fof(f7994,plain,
( ~ spl25_896
| spl25_900
| ~ spl25_226 ),
inference(avatar_split_clause,[],[f7969,f2244,f7992,f7975]) ).
fof(f7992,plain,
( spl25_900
<=> ! [X12] :
( slcrc0 = X12
| ~ aElementOf0(sK11(X12,sK7(xd)),szNzAzT0)
| ~ aSubsetOf0(X12,szNzAzT0)
| sdtlseqdt0(sK11(X12,sK7(xd)),sK1(sK7(xd)))
| sK7(xd) = szmzizndt0(X12)
| ~ aElementOf0(sK7(xd),X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_900])]) ).
fof(f7969,plain,
( ! [X12] :
( slcrc0 = X12
| ~ aElementOf0(sK7(xd),X12)
| sK7(xd) = szmzizndt0(X12)
| sdtlseqdt0(sK11(X12,sK7(xd)),sK1(sK7(xd)))
| ~ aSubsetOf0(X12,szNzAzT0)
| ~ aElementOf0(sK11(X12,sK7(xd)),szNzAzT0)
| ~ aElementOf0(sK1(sK7(xd)),szNzAzT0) )
| ~ spl25_226 ),
inference(superposition,[],[f2284,f2246]) ).
fof(f2284,plain,
! [X2,X1] :
( ~ aElementOf0(sK11(X1,szszuzczcdt0(X2)),szNzAzT0)
| slcrc0 = X1
| ~ aElementOf0(szszuzczcdt0(X2),X1)
| sdtlseqdt0(sK11(X1,szszuzczcdt0(X2)),X2)
| szmzizndt0(X1) = szszuzczcdt0(X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSubsetOf0(X1,szNzAzT0) ),
inference(resolution,[],[f439,f474]) ).
fof(f439,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X1,sK11(X0,X1))
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| szmzizndt0(X0) = X1 ),
inference(cnf_transformation,[],[f287]) ).
fof(f7990,plain,
( ~ spl25_896
| spl25_898
| spl25_899
| ~ spl25_92
| ~ spl25_226 ),
inference(avatar_split_clause,[],[f7963,f2244,f1152,f7988,f7984,f7975]) ).
fof(f7984,plain,
( spl25_898
<=> sdtlpdtrp0(xd,sK1(sK7(xd))) = sK19(sK1(sK7(xd))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_898])]) ).
fof(f7988,plain,
( spl25_899
<=> ! [X9] :
( ~ aSet0(X9)
| ~ aElementOf0(X9,slbdtsldtrb0(sdtlpdtrp0(xN,sK7(xd)),sz00)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_899])]) ).
fof(f7963,plain,
( ! [X9] :
( ~ aSet0(X9)
| sdtlpdtrp0(xd,sK1(sK7(xd))) = sK19(sK1(sK7(xd)))
| ~ aElementOf0(X9,slbdtsldtrb0(sdtlpdtrp0(xN,sK7(xd)),sz00))
| ~ aElementOf0(sK1(sK7(xd)),szNzAzT0) )
| ~ spl25_92
| ~ spl25_226 ),
inference(superposition,[],[f1783,f2246]) ).
fof(f1783,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sz00))
| ~ aSet0(X1)
| sdtlpdtrp0(xd,X0) = sK19(X0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl25_92 ),
inference(backward_demodulation,[],[f733,f1154]) ).
fof(f733,plain,
! [X0,X1] :
( ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(X1)
| sdtlpdtrp0(xd,X0) = sK19(X0) ),
inference(forward_subsumption_demodulation,[],[f429,f505]) ).
fof(f429,plain,
! [X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(X1)
| ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
| sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xd,X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
( szNzAzT0 = szDzozmdt0(xd)
& aFunction0(xd)
& ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ! [X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xd,X0)
| ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
| ~ aSet0(X1) ) ) ),
inference(flattening,[],[f130]) ).
fof(f130,plain,
( szNzAzT0 = szDzozmdt0(xd)
& ! [X0] :
( ! [X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xd,X0)
| ~ aSet0(X1)
| ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk)) )
| ~ aElementOf0(X0,szNzAzT0) )
& aFunction0(xd) ),
inference(ennf_transformation,[],[f92]) ).
fof(f92,axiom,
( szNzAzT0 = szDzozmdt0(xd)
& ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( ( aSet0(X1)
& aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk)) )
=> sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xd,X0) ) )
& aFunction0(xd) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4730) ).
fof(f7982,plain,
( spl25_895
| ~ spl25_896
| ~ spl25_897
| ~ spl25_92
| ~ spl25_144
| ~ spl25_226 ),
inference(avatar_split_clause,[],[f7966,f2244,f1572,f1152,f7979,f7975,f7971]) ).
fof(f1572,plain,
( spl25_144
<=> ! [X0] :
( ~ sdtlseqdt0(X0,xk)
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X0),xK) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_144])]) ).
fof(f7966,plain,
( ~ sdtlseqdt0(sK1(sK7(xd)),sz00)
| ~ aElementOf0(sK1(sK7(xd)),szNzAzT0)
| sdtlseqdt0(sK7(xd),xK)
| ~ spl25_92
| ~ spl25_144
| ~ spl25_226 ),
inference(superposition,[],[f1821,f2246]) ).
fof(f1821,plain,
( ! [X0] :
( sdtlseqdt0(szszuzczcdt0(X0),xK)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X0,sz00) )
| ~ spl25_92
| ~ spl25_144 ),
inference(backward_demodulation,[],[f1573,f1154]) ).
fof(f1573,plain,
( ! [X0] :
( sdtlseqdt0(szszuzczcdt0(X0),xK)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X0,xk) )
| ~ spl25_144 ),
inference(avatar_component_clause,[],[f1572]) ).
fof(f7945,plain,
( spl25_893
| spl25_894
| ~ spl25_116
| ~ spl25_879 ),
inference(avatar_split_clause,[],[f7926,f7825,f1400,f7942,f7938]) ).
fof(f7938,plain,
( spl25_893
<=> sdtmndt0(sdtpldt0(szDzozmdt0(sdtlpdtrp0(xC,xK)),sK2),sK2) = szDzozmdt0(sdtlpdtrp0(xC,xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_893])]) ).
fof(f7926,plain,
( aElementOf0(sK2,szDzozmdt0(sdtlpdtrp0(xC,xK)))
| sdtmndt0(sdtpldt0(szDzozmdt0(sdtlpdtrp0(xC,xK)),sK2),sK2) = szDzozmdt0(sdtlpdtrp0(xC,xK))
| ~ spl25_116
| ~ spl25_879 ),
inference(resolution,[],[f7827,f2593]) ).
fof(f7827,plain,
( aSet0(szDzozmdt0(sdtlpdtrp0(xC,xK)))
| ~ spl25_879 ),
inference(avatar_component_clause,[],[f7825]) ).
fof(f7936,plain,
( spl25_880
| spl25_892
| ~ spl25_879 ),
inference(avatar_split_clause,[],[f7927,f7825,f7933,f7830]) ).
fof(f7830,plain,
( spl25_880
<=> slcrc0 = szDzozmdt0(sdtlpdtrp0(xC,xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_880])]) ).
fof(f7933,plain,
( spl25_892
<=> aElementOf0(sK13(szDzozmdt0(sdtlpdtrp0(xC,xK))),szDzozmdt0(sdtlpdtrp0(xC,xK))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_892])]) ).
fof(f7927,plain,
( aElementOf0(sK13(szDzozmdt0(sdtlpdtrp0(xC,xK))),szDzozmdt0(sdtlpdtrp0(xC,xK)))
| slcrc0 = szDzozmdt0(sdtlpdtrp0(xC,xK))
| ~ spl25_879 ),
inference(resolution,[],[f7827,f462]) ).
fof(f7925,plain,
( ~ spl25_33
| spl25_891
| ~ spl25_29
| ~ spl25_13
| ~ spl25_271 ),
inference(avatar_split_clause,[],[f7920,f2655,f634,f718,f7922,f741]) ).
fof(f7922,plain,
( spl25_891
<=> aElementOf0(xK,sdtlbdtrb0(xe,sdtlpdtrp0(xe,xK))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_891])]) ).
fof(f2655,plain,
( spl25_271
<=> aElement0(sdtlpdtrp0(xe,xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_271])]) ).
fof(f7920,plain,
( ~ aElementOf0(xK,szNzAzT0)
| aElementOf0(xK,sdtlbdtrb0(xe,sdtlpdtrp0(xe,xK)))
| ~ aFunction0(xe)
| ~ spl25_13
| ~ spl25_271 ),
inference(forward_demodulation,[],[f7908,f636]) ).
fof(f7908,plain,
( ~ aElementOf0(xK,szDzozmdt0(xe))
| ~ aFunction0(xe)
| aElementOf0(xK,sdtlbdtrb0(xe,sdtlpdtrp0(xe,xK)))
| ~ spl25_271 ),
inference(resolution,[],[f2656,f533]) ).
fof(f2656,plain,
( aElement0(sdtlpdtrp0(xe,xK))
| ~ spl25_271 ),
inference(avatar_component_clause,[],[f2655]) ).
fof(f7904,plain,
( spl25_890
| ~ spl25_66
| ~ spl25_889 ),
inference(avatar_split_clause,[],[f7889,f7885,f980,f7901]) ).
fof(f7901,plain,
( spl25_890
<=> aSubsetOf0(slcrc0,sdtmndt0(sdtlpdtrp0(xN,xK),sdtlpdtrp0(xe,xK))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_890])]) ).
fof(f980,plain,
( spl25_66
<=> aSubsetOf0(sK15(xK),sdtmndt0(sdtlpdtrp0(xN,xK),sdtlpdtrp0(xe,xK))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_66])]) ).
fof(f7885,plain,
( spl25_889
<=> slcrc0 = sK15(xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_889])]) ).
fof(f7889,plain,
( aSubsetOf0(slcrc0,sdtmndt0(sdtlpdtrp0(xN,xK),sdtlpdtrp0(xe,xK)))
| ~ spl25_66
| ~ spl25_889 ),
inference(backward_demodulation,[],[f982,f7887]) ).
fof(f7887,plain,
( slcrc0 = sK15(xK)
| ~ spl25_889 ),
inference(avatar_component_clause,[],[f7885]) ).
fof(f982,plain,
( aSubsetOf0(sK15(xK),sdtmndt0(sdtlpdtrp0(xN,xK),sdtlpdtrp0(xe,xK)))
| ~ spl25_66 ),
inference(avatar_component_clause,[],[f980]) ).
fof(f7888,plain,
( spl25_888
| spl25_889
| ~ spl25_874 ),
inference(avatar_split_clause,[],[f7866,f7804,f7885,f7881]) ).
fof(f7881,plain,
( spl25_888
<=> aElementOf0(sK13(sK15(xK)),sK15(xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_888])]) ).
fof(f7804,plain,
( spl25_874
<=> aSet0(sK15(xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_874])]) ).
fof(f7866,plain,
( slcrc0 = sK15(xK)
| aElementOf0(sK13(sK15(xK)),sK15(xK))
| ~ spl25_874 ),
inference(resolution,[],[f7806,f462]) ).
fof(f7806,plain,
( aSet0(sK15(xK))
| ~ spl25_874 ),
inference(avatar_component_clause,[],[f7804]) ).
fof(f7879,plain,
( spl25_886
| spl25_887
| ~ spl25_116
| ~ spl25_874 ),
inference(avatar_split_clause,[],[f7865,f7804,f1400,f7876,f7872]) ).
fof(f7872,plain,
( spl25_886
<=> aElementOf0(sK2,sK15(xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_886])]) ).
fof(f7876,plain,
( spl25_887
<=> sdtmndt0(sdtpldt0(sK15(xK),sK2),sK2) = sK15(xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_887])]) ).
fof(f7865,plain,
( sdtmndt0(sdtpldt0(sK15(xK),sK2),sK2) = sK15(xK)
| aElementOf0(sK2,sK15(xK))
| ~ spl25_116
| ~ spl25_874 ),
inference(resolution,[],[f7806,f2593]) ).
fof(f7864,plain,
( spl25_885
| ~ spl25_271
| ~ spl25_208
| ~ spl25_878 ),
inference(avatar_split_clause,[],[f7860,f7821,f2139,f2655,f7862]) ).
fof(f7862,plain,
( spl25_885
<=> ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szDzozmdt0(sdtlpdtrp0(xC,xK)))
| aSet0(sK3(sz00,sdtmndt0(sdtlpdtrp0(xN,xK),sdtlpdtrp0(xe,xK)),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_885])]) ).
fof(f2139,plain,
( spl25_208
<=> aSet0(sdtlpdtrp0(xN,xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_208])]) ).
fof(f7821,plain,
( spl25_878
<=> ! [X1] :
( ~ aSubsetOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,xK)))
| aSubsetOf0(sK3(sz00,sdtmndt0(sdtlpdtrp0(xN,xK),sdtlpdtrp0(xe,xK)),X1),sdtmndt0(sdtlpdtrp0(xN,xK),sdtlpdtrp0(xe,xK)))
| ~ isFinite0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_878])]) ).
fof(f7860,plain,
( ! [X0] :
( ~ aSet0(sdtlpdtrp0(xN,xK))
| ~ aElement0(sdtlpdtrp0(xe,xK))
| ~ isFinite0(X0)
| aSet0(sK3(sz00,sdtmndt0(sdtlpdtrp0(xN,xK),sdtlpdtrp0(xe,xK)),X0))
| ~ aSubsetOf0(X0,szDzozmdt0(sdtlpdtrp0(xC,xK))) )
| ~ spl25_878 ),
inference(resolution,[],[f7822,f1020]) ).
fof(f1020,plain,
! [X2,X0,X1] :
( ~ aSubsetOf0(X2,sdtmndt0(X1,X0))
| ~ aSet0(X1)
| aSet0(X2)
| ~ aElement0(X0) ),
inference(resolution,[],[f548,f486]) ).
fof(f548,plain,
! [X0,X1] :
( aSet0(sdtmndt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f450]) ).
fof(f450,plain,
! [X2,X0,X1] :
( ~ aElement0(X1)
| ~ aSet0(X0)
| aSet0(X2)
| sdtmndt0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f294]) ).
fof(f7822,plain,
( ! [X1] :
( aSubsetOf0(sK3(sz00,sdtmndt0(sdtlpdtrp0(xN,xK),sdtlpdtrp0(xe,xK)),X1),sdtmndt0(sdtlpdtrp0(xN,xK),sdtlpdtrp0(xe,xK)))
| ~ isFinite0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,xK))) )
| ~ spl25_878 ),
inference(avatar_component_clause,[],[f7821]) ).
fof(f7859,plain,
( spl25_883
| spl25_884
| ~ spl25_140 ),
inference(avatar_split_clause,[],[f7837,f1542,f7856,f7852]) ).
fof(f7852,plain,
( spl25_883
<=> aElementOf0(sK13(sdtmndt0(sdtlpdtrp0(xN,xK),sdtlpdtrp0(xe,xK))),sdtmndt0(sdtlpdtrp0(xN,xK),sdtlpdtrp0(xe,xK))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_883])]) ).
fof(f7856,plain,
( spl25_884
<=> slcrc0 = sdtmndt0(sdtlpdtrp0(xN,xK),sdtlpdtrp0(xe,xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_884])]) ).
fof(f1542,plain,
( spl25_140
<=> aSet0(sdtmndt0(sdtlpdtrp0(xN,xK),sdtlpdtrp0(xe,xK))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_140])]) ).
fof(f7837,plain,
( slcrc0 = sdtmndt0(sdtlpdtrp0(xN,xK),sdtlpdtrp0(xe,xK))
| aElementOf0(sK13(sdtmndt0(sdtlpdtrp0(xN,xK),sdtlpdtrp0(xe,xK))),sdtmndt0(sdtlpdtrp0(xN,xK),sdtlpdtrp0(xe,xK)))
| ~ spl25_140 ),
inference(resolution,[],[f1543,f462]) ).
fof(f1543,plain,
( aSet0(sdtmndt0(sdtlpdtrp0(xN,xK),sdtlpdtrp0(xe,xK)))
| ~ spl25_140 ),
inference(avatar_component_clause,[],[f1542]) ).
fof(f7850,plain,
( spl25_881
| spl25_882
| ~ spl25_116
| ~ spl25_140 ),
inference(avatar_split_clause,[],[f7836,f1542,f1400,f7847,f7843]) ).
fof(f7843,plain,
( spl25_881
<=> sdtmndt0(sdtpldt0(sdtmndt0(sdtlpdtrp0(xN,xK),sdtlpdtrp0(xe,xK)),sK2),sK2) = sdtmndt0(sdtlpdtrp0(xN,xK),sdtlpdtrp0(xe,xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_881])]) ).
fof(f7847,plain,
( spl25_882
<=> aElementOf0(sK2,sdtmndt0(sdtlpdtrp0(xN,xK),sdtlpdtrp0(xe,xK))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_882])]) ).
fof(f7836,plain,
( aElementOf0(sK2,sdtmndt0(sdtlpdtrp0(xN,xK),sdtlpdtrp0(xe,xK)))
| sdtmndt0(sdtpldt0(sdtmndt0(sdtlpdtrp0(xN,xK),sdtlpdtrp0(xe,xK)),sK2),sK2) = sdtmndt0(sdtlpdtrp0(xN,xK),sdtlpdtrp0(xe,xK))
| ~ spl25_116
| ~ spl25_140 ),
inference(resolution,[],[f1543,f2593]) ).
fof(f7833,plain,
( ~ spl25_2
| ~ spl25_880
| ~ spl25_140
| spl25_139
| ~ spl25_98 ),
inference(avatar_split_clause,[],[f4416,f1231,f1538,f1542,f7830,f580]) ).
fof(f1538,plain,
( spl25_139
<=> isFinite0(sdtmndt0(sdtlpdtrp0(xN,xK),sdtlpdtrp0(xe,xK))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_139])]) ).
fof(f1231,plain,
( spl25_98
<=> slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xK),sdtlpdtrp0(xe,xK)),sz00) = szDzozmdt0(sdtlpdtrp0(xC,xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_98])]) ).
fof(f4416,plain,
( isFinite0(sdtmndt0(sdtlpdtrp0(xN,xK),sdtlpdtrp0(xe,xK)))
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,xK),sdtlpdtrp0(xe,xK)))
| slcrc0 != szDzozmdt0(sdtlpdtrp0(xC,xK))
| ~ aElementOf0(sz00,szNzAzT0)
| ~ spl25_98 ),
inference(superposition,[],[f369,f1233]) ).
fof(f1233,plain,
( slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xK),sdtlpdtrp0(xe,xK)),sz00) = szDzozmdt0(sdtlpdtrp0(xC,xK))
| ~ spl25_98 ),
inference(avatar_component_clause,[],[f1231]) ).
fof(f369,plain,
! [X0,X1] :
( slcrc0 != slbdtsldtrb0(X0,X1)
| isFinite0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0] :
( ! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| slcrc0 != slbdtsldtrb0(X0,X1) )
| isFinite0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f119]) ).
fof(f119,plain,
! [X0] :
( ! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| slcrc0 != slbdtsldtrb0(X0,X1) )
| isFinite0(X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f59]) ).
fof(f59,axiom,
! [X0] :
( ( ~ isFinite0(X0)
& aSet0(X0) )
=> ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> slcrc0 != slbdtsldtrb0(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSelNSet) ).
fof(f7828,plain,
( ~ spl25_140
| ~ spl25_2
| spl25_879
| ~ spl25_98 ),
inference(avatar_split_clause,[],[f3450,f1231,f7825,f580,f1542]) ).
fof(f3450,plain,
( aSet0(szDzozmdt0(sdtlpdtrp0(xC,xK)))
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,xK),sdtlpdtrp0(xe,xK)))
| ~ spl25_98 ),
inference(superposition,[],[f544,f1233]) ).
fof(f544,plain,
! [X0,X1] :
( aSet0(slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f399]) ).
fof(f399,plain,
! [X2,X0,X1] :
( aSet0(X2)
| slbdtsldtrb0(X0,X1) != X2
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f271]) ).
fof(f7823,plain,
( ~ spl25_2
| spl25_878
| ~ spl25_140
| ~ spl25_98 ),
inference(avatar_split_clause,[],[f2273,f1231,f1542,f7821,f580]) ).
fof(f2273,plain,
( ! [X1] :
( ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,xK),sdtlpdtrp0(xe,xK)))
| ~ aSubsetOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,xK)))
| ~ isFinite0(X1)
| aSubsetOf0(sK3(sz00,sdtmndt0(sdtlpdtrp0(xN,xK),sdtlpdtrp0(xe,xK)),X1),sdtmndt0(sdtlpdtrp0(xN,xK),sdtlpdtrp0(xe,xK)))
| ~ aElementOf0(sz00,szNzAzT0) )
| ~ spl25_98 ),
inference(superposition,[],[f367,f1233]) ).
fof(f367,plain,
! [X2,X0,X1] :
( ~ aSubsetOf0(X2,slbdtsldtrb0(X1,X0))
| ~ aSet0(X1)
| ~ aElementOf0(X0,szNzAzT0)
| aSubsetOf0(sK3(X0,X1,X2),X1)
| ~ isFinite0(X2) ),
inference(cnf_transformation,[],[f253]) ).
fof(f253,plain,
! [X0,X1] :
( ! [X2] :
( ~ aSubsetOf0(X2,slbdtsldtrb0(X1,X0))
| ~ isFinite0(X2)
| ( isFinite0(sK3(X0,X1,X2))
& aSubsetOf0(sK3(X0,X1,X2),X1)
& aSubsetOf0(X2,slbdtsldtrb0(sK3(X0,X1,X2),X0)) ) )
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f251,f252]) ).
fof(f252,plain,
! [X0,X1,X2] :
( ? [X3] :
( isFinite0(X3)
& aSubsetOf0(X3,X1)
& aSubsetOf0(X2,slbdtsldtrb0(X3,X0)) )
=> ( isFinite0(sK3(X0,X1,X2))
& aSubsetOf0(sK3(X0,X1,X2),X1)
& aSubsetOf0(X2,slbdtsldtrb0(sK3(X0,X1,X2),X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f251,plain,
! [X0,X1] :
( ! [X2] :
( ~ aSubsetOf0(X2,slbdtsldtrb0(X1,X0))
| ~ isFinite0(X2)
| ? [X3] :
( isFinite0(X3)
& aSubsetOf0(X3,X1)
& aSubsetOf0(X2,slbdtsldtrb0(X3,X0)) ) )
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(X1) ),
inference(rectify,[],[f225]) ).
fof(f225,plain,
! [X1,X0] :
( ! [X2] :
( ~ aSubsetOf0(X2,slbdtsldtrb0(X0,X1))
| ~ isFinite0(X2)
| ? [X3] :
( isFinite0(X3)
& aSubsetOf0(X3,X0)
& aSubsetOf0(X2,slbdtsldtrb0(X3,X1)) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(flattening,[],[f224]) ).
fof(f224,plain,
! [X1,X0] :
( ! [X2] :
( ? [X3] :
( isFinite0(X3)
& aSubsetOf0(X3,X0)
& aSubsetOf0(X2,slbdtsldtrb0(X3,X1)) )
| ~ aSubsetOf0(X2,slbdtsldtrb0(X0,X1))
| ~ isFinite0(X2) )
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(ennf_transformation,[],[f62]) ).
fof(f62,axiom,
! [X1,X0] :
( ( aSet0(X0)
& aElementOf0(X1,szNzAzT0) )
=> ! [X2] :
( ( aSubsetOf0(X2,slbdtsldtrb0(X0,X1))
& isFinite0(X2) )
=> ? [X3] :
( isFinite0(X3)
& aSubsetOf0(X3,X0)
& aSubsetOf0(X2,slbdtsldtrb0(X3,X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSelExtra) ).
fof(f7819,plain,
( ~ spl25_140
| ~ spl25_2
| spl25_877
| ~ spl25_98 ),
inference(avatar_split_clause,[],[f4817,f1231,f7817,f580,f1542]) ).
fof(f7817,plain,
( spl25_877
<=> ! [X1] :
( aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xK),sdtlpdtrp0(xe,xK)))
| ~ aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,xK))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_877])]) ).
fof(f4817,plain,
( ! [X1] :
( aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xK),sdtlpdtrp0(xe,xK)))
| ~ aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,xK)))
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,xK),sdtlpdtrp0(xe,xK))) )
| ~ spl25_98 ),
inference(superposition,[],[f543,f1233]) ).
fof(f543,plain,
! [X0,X1,X4] :
( ~ aElementOf0(X4,slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0)
| aSubsetOf0(X4,X0)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f400]) ).
fof(f400,plain,
! [X2,X0,X1,X4] :
( aSubsetOf0(X4,X0)
| ~ aElementOf0(X4,X2)
| slbdtsldtrb0(X0,X1) != X2
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f271]) ).
fof(f7815,plain,
( ~ spl25_140
| ~ spl25_2
| spl25_876
| ~ spl25_98 ),
inference(avatar_split_clause,[],[f4834,f1231,f7813,f580,f1542]) ).
fof(f7813,plain,
( spl25_876
<=> ! [X1] :
( sz00 = sbrdtbr0(X1)
| ~ aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,xK))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_876])]) ).
fof(f4834,plain,
( ! [X1] :
( sz00 = sbrdtbr0(X1)
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,xK),sdtlpdtrp0(xe,xK)))
| ~ aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,xK))) )
| ~ spl25_98 ),
inference(superposition,[],[f542,f1233]) ).
fof(f542,plain,
! [X0,X1,X4] :
( ~ aElementOf0(X4,slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0)
| sbrdtbr0(X4) = X1
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f401]) ).
fof(f401,plain,
! [X2,X0,X1,X4] :
( sbrdtbr0(X4) = X1
| ~ aElementOf0(X4,X2)
| slbdtsldtrb0(X0,X1) != X2
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f271]) ).
fof(f7811,plain,
( spl25_130
| ~ spl25_129
| ~ spl25_271
| spl25_875
| ~ spl25_40 ),
inference(avatar_split_clause,[],[f7131,f797,f7809,f2655,f1491,f1495]) ).
fof(f1495,plain,
( spl25_130
<=> slcrc0 = sdtlpdtrp0(xN,xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_130])]) ).
fof(f1491,plain,
( spl25_129
<=> aSubsetOf0(sdtlpdtrp0(xN,xK),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_129])]) ).
fof(f7809,plain,
( spl25_875
<=> ! [X0] :
( sdtlpdtrp0(xe,xK) = szmzizndt0(sdtpldt0(X0,sdtlpdtrp0(xe,xK)))
| ~ aSet0(X0)
| ~ aElementOf0(szmzizndt0(sdtpldt0(X0,sdtlpdtrp0(xe,xK))),sdtlpdtrp0(xN,xK))
| ~ aSubsetOf0(sdtpldt0(X0,sdtlpdtrp0(xe,xK)),szNzAzT0)
| slcrc0 = sdtpldt0(X0,sdtlpdtrp0(xe,xK)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_875])]) ).
fof(f797,plain,
( spl25_40
<=> sdtlpdtrp0(xe,xK) = szmzizndt0(sdtlpdtrp0(xN,xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_40])]) ).
fof(f7131,plain,
( ! [X0] :
( sdtlpdtrp0(xe,xK) = szmzizndt0(sdtpldt0(X0,sdtlpdtrp0(xe,xK)))
| slcrc0 = sdtpldt0(X0,sdtlpdtrp0(xe,xK))
| ~ aElement0(sdtlpdtrp0(xe,xK))
| ~ aSubsetOf0(sdtlpdtrp0(xN,xK),szNzAzT0)
| ~ aSubsetOf0(sdtpldt0(X0,sdtlpdtrp0(xe,xK)),szNzAzT0)
| ~ aElementOf0(szmzizndt0(sdtpldt0(X0,sdtlpdtrp0(xe,xK))),sdtlpdtrp0(xN,xK))
| slcrc0 = sdtlpdtrp0(xN,xK)
| ~ aSet0(X0) )
| ~ spl25_40 ),
inference(superposition,[],[f2436,f799]) ).
fof(f799,plain,
( sdtlpdtrp0(xe,xK) = szmzizndt0(sdtlpdtrp0(xN,xK))
| ~ spl25_40 ),
inference(avatar_component_clause,[],[f797]) ).
fof(f2436,plain,
! [X0,X1] :
( ~ aSubsetOf0(sdtpldt0(X1,szmzizndt0(X0)),szNzAzT0)
| slcrc0 = X0
| ~ aElement0(szmzizndt0(X0))
| ~ aSubsetOf0(X0,szNzAzT0)
| szmzizndt0(X0) = szmzizndt0(sdtpldt0(X1,szmzizndt0(X0)))
| ~ aElementOf0(szmzizndt0(sdtpldt0(X1,szmzizndt0(X0))),X0)
| ~ aSet0(X1)
| slcrc0 = sdtpldt0(X1,szmzizndt0(X0)) ),
inference(resolution,[],[f412,f573]) ).
fof(f412,plain,
! [X0,X1] :
( ~ aElementOf0(szmzizndt0(X1),X0)
| slcrc0 = X1
| szmzizndt0(X0) = szmzizndt0(X1)
| slcrc0 = X0
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aElementOf0(szmzizndt0(X0),X1)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f276]) ).
fof(f276,plain,
! [X0,X1] :
( ~ aSubsetOf0(X0,szNzAzT0)
| ~ aSubsetOf0(X1,szNzAzT0)
| slcrc0 = X0
| ~ aElementOf0(szmzizndt0(X1),X0)
| ~ aElementOf0(szmzizndt0(X0),X1)
| szmzizndt0(X0) = szmzizndt0(X1)
| slcrc0 = X1 ),
inference(rectify,[],[f122]) ).
fof(f122,plain,
! [X1,X0] :
( ~ aSubsetOf0(X1,szNzAzT0)
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X1
| ~ aElementOf0(szmzizndt0(X0),X1)
| ~ aElementOf0(szmzizndt0(X1),X0)
| szmzizndt0(X0) = szmzizndt0(X1)
| slcrc0 = X0 ),
inference(flattening,[],[f121]) ).
fof(f121,plain,
! [X0,X1] :
( szmzizndt0(X0) = szmzizndt0(X1)
| ~ aElementOf0(szmzizndt0(X1),X0)
| ~ aElementOf0(szmzizndt0(X0),X1)
| slcrc0 = X0
| slcrc0 = X1
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ aSubsetOf0(X1,szNzAzT0) ),
inference(ennf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0,X1] :
( ( slcrc0 != X0
& slcrc0 != X1
& aSubsetOf0(X0,szNzAzT0)
& aSubsetOf0(X1,szNzAzT0) )
=> ( ( aElementOf0(szmzizndt0(X1),X0)
& aElementOf0(szmzizndt0(X0),X1) )
=> szmzizndt0(X0) = szmzizndt0(X1) ) ),
inference(rectify,[],[f49]) ).
fof(f49,axiom,
! [X1,X0] :
( ( slcrc0 != X1
& slcrc0 != X0
& aSubsetOf0(X0,szNzAzT0)
& aSubsetOf0(X1,szNzAzT0) )
=> ( ( aElementOf0(szmzizndt0(X1),X0)
& aElementOf0(szmzizndt0(X0),X1) )
=> szmzizndt0(X0) = szmzizndt0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMinMin) ).
fof(f7807,plain,
( spl25_874
| ~ spl25_271
| ~ spl25_208
| ~ spl25_66 ),
inference(avatar_split_clause,[],[f4010,f980,f2139,f2655,f7804]) ).
fof(f4010,plain,
( ~ aSet0(sdtlpdtrp0(xN,xK))
| ~ aElement0(sdtlpdtrp0(xe,xK))
| aSet0(sK15(xK))
| ~ spl25_66 ),
inference(resolution,[],[f1020,f982]) ).
fof(f7802,plain,
( ~ spl25_271
| ~ spl25_208
| spl25_140 ),
inference(avatar_split_clause,[],[f2660,f1542,f2139,f2655]) ).
fof(f2660,plain,
( ~ aSet0(sdtlpdtrp0(xN,xK))
| ~ aElement0(sdtlpdtrp0(xe,xK))
| spl25_140 ),
inference(resolution,[],[f1544,f548]) ).
fof(f1544,plain,
( ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,xK),sdtlpdtrp0(xe,xK)))
| spl25_140 ),
inference(avatar_component_clause,[],[f1542]) ).
fof(f7801,plain,
( ~ spl25_136
| spl25_137
| ~ spl25_92
| ~ spl25_98 ),
inference(avatar_split_clause,[],[f2041,f1231,f1152,f1530,f1526]) ).
fof(f1526,plain,
( spl25_136
<=> isCountable0(sdtmndt0(sdtlpdtrp0(xN,xK),sdtlpdtrp0(xe,xK))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_136])]) ).
fof(f2041,plain,
( ! [X0,X1] :
( ~ aSubsetOf0(sdtmndt0(sdtlpdtrp0(xN,xK),sdtlpdtrp0(xe,xK)),sdtmndt0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xe,X1)))
| aElementOf0(X0,szDzozmdt0(sdtlpdtrp0(xC,X1)))
| ~ aElementOf0(X0,szDzozmdt0(sdtlpdtrp0(xC,xK)))
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ isCountable0(sdtmndt0(sdtlpdtrp0(xN,xK),sdtlpdtrp0(xe,xK))) )
| ~ spl25_92
| ~ spl25_98 ),
inference(superposition,[],[f1809,f1233]) ).
fof(f1809,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X2,slbdtsldtrb0(X1,sz00))
| ~ aElementOf0(X0,szNzAzT0)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xe,X0)))
| aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| ~ aSet0(X2) )
| ~ spl25_92 ),
inference(backward_demodulation,[],[f1260,f1154]) ).
fof(f1260,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X2,slbdtsldtrb0(X1,xk))
| ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xe,X0)))
| ~ isCountable0(X1)
| ~ aSet0(X2) ),
inference(forward_subsumption_demodulation,[],[f1259,f734]) ).
fof(f1259,plain,
! [X2,X0,X1] :
( ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xe,X0)))
| aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xe,X0)),xk))
| ~ aElementOf0(X0,szNzAzT0)
| ~ isCountable0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(X2,slbdtsldtrb0(X1,xk)) ),
inference(forward_subsumption_demodulation,[],[f1258,f357]) ).
fof(f1258,plain,
! [X2,X0,X1] :
( ~ aSet0(X2)
| aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
| ~ aElementOf0(X0,szNzAzT0)
| ~ isCountable0(X1)
| ~ aElementOf0(X2,slbdtsldtrb0(X1,xk))
| ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xe,X0))) ),
inference(forward_subsumption_demodulation,[],[f356,f357]) ).
fof(f356,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X2,slbdtsldtrb0(X1,xk))
| ~ isCountable0(X1)
| ~ aSet0(X2)
| ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk)) ),
inference(cnf_transformation,[],[f162]) ).
fof(f162,plain,
! [X0] :
( ! [X1] :
( ~ isCountable0(X1)
| ! [X2] :
( aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
| ~ aSet0(X2)
| ~ aElementOf0(X2,slbdtsldtrb0(X1,xk)) )
| ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f161]) ).
fof(f161,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
| ~ aSet0(X2)
| ~ aElementOf0(X2,slbdtsldtrb0(X1,xk)) )
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f88]) ).
fof(f88,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( ( isCountable0(X1)
& aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
=> ! [X2] :
( ( aSet0(X2)
& aElementOf0(X2,slbdtsldtrb0(X1,xk)) )
=> aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4331) ).
fof(f7800,plain,
( spl25_873
| ~ spl25_208
| ~ spl25_207 ),
inference(avatar_split_clause,[],[f7793,f2134,f2139,f7797]) ).
fof(f7797,plain,
( spl25_873
<=> sdtpldt0(sdtmndt0(sdtlpdtrp0(xN,xK),sdtlpdtrp0(xe,xK)),sdtlpdtrp0(xe,xK)) = sdtlpdtrp0(xN,xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_873])]) ).
fof(f2134,plain,
( spl25_207
<=> aElementOf0(sdtlpdtrp0(xe,xK),sdtlpdtrp0(xN,xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_207])]) ).
fof(f7793,plain,
( ~ aSet0(sdtlpdtrp0(xN,xK))
| sdtpldt0(sdtmndt0(sdtlpdtrp0(xN,xK),sdtlpdtrp0(xe,xK)),sdtlpdtrp0(xe,xK)) = sdtlpdtrp0(xN,xK)
| ~ spl25_207 ),
inference(resolution,[],[f2136,f410]) ).
fof(f2136,plain,
( aElementOf0(sdtlpdtrp0(xe,xK),sdtlpdtrp0(xN,xK))
| ~ spl25_207 ),
inference(avatar_component_clause,[],[f2134]) ).
fof(f7795,plain,
( ~ spl25_208
| spl25_271
| ~ spl25_207 ),
inference(avatar_split_clause,[],[f7792,f2134,f2655,f2139]) ).
fof(f7792,plain,
( aElement0(sdtlpdtrp0(xe,xK))
| ~ aSet0(sdtlpdtrp0(xN,xK))
| ~ spl25_207 ),
inference(resolution,[],[f2136,f473]) ).
fof(f7778,plain,
( spl25_872
| ~ spl25_209
| ~ spl25_264 ),
inference(avatar_split_clause,[],[f7765,f2555,f2153,f7775]) ).
fof(f7775,plain,
( spl25_872
<=> aElement0(szszuzczcdt0(sK7(xd))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_872])]) ).
fof(f2555,plain,
( spl25_264
<=> ! [X2] :
( aElement0(szszuzczcdt0(X2))
| ~ aElementOf0(X2,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_264])]) ).
fof(f7765,plain,
( aElement0(szszuzczcdt0(sK7(xd)))
| ~ spl25_209
| ~ spl25_264 ),
inference(resolution,[],[f2556,f2155]) ).
fof(f2556,plain,
( ! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| aElement0(szszuzczcdt0(X2)) )
| ~ spl25_264 ),
inference(avatar_component_clause,[],[f2555]) ).
fof(f7773,plain,
( spl25_871
| ~ spl25_264
| ~ spl25_456 ),
inference(avatar_split_clause,[],[f7761,f4316,f2555,f7770]) ).
fof(f7770,plain,
( spl25_871
<=> aElement0(szszuzczcdt0(szszuzczcdt0(xK))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_871])]) ).
fof(f7761,plain,
( aElement0(szszuzczcdt0(szszuzczcdt0(xK)))
| ~ spl25_264
| ~ spl25_456 ),
inference(resolution,[],[f2556,f4317]) ).
fof(f7751,plain,
( spl25_848
| spl25_870
| ~ spl25_634 ),
inference(avatar_split_clause,[],[f7617,f6080,f7748,f7640]) ).
fof(f7640,plain,
( spl25_848
<=> sz00 = sK11(szNzAzT0,sK7(xd)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_848])]) ).
fof(f7748,plain,
( spl25_870
<=> szmzizndt0(sdtlpdtrp0(xN,sK1(sK11(szNzAzT0,sK7(xd))))) = sdtlpdtrp0(xe,sK1(sK11(szNzAzT0,sK7(xd)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_870])]) ).
fof(f7617,plain,
( szmzizndt0(sdtlpdtrp0(xN,sK1(sK11(szNzAzT0,sK7(xd))))) = sdtlpdtrp0(xe,sK1(sK11(szNzAzT0,sK7(xd))))
| sz00 = sK11(szNzAzT0,sK7(xd))
| ~ spl25_634 ),
inference(resolution,[],[f6082,f1076]) ).
fof(f1076,plain,
! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| sz00 = X1
| sdtlpdtrp0(xe,sK1(X1)) = szmzizndt0(sdtlpdtrp0(xN,sK1(X1))) ),
inference(resolution,[],[f347,f357]) ).
fof(f347,plain,
! [X0] :
( aElementOf0(sK1(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| sz00 = X0 ),
inference(cnf_transformation,[],[f248]) ).
fof(f248,plain,
! [X0] :
( sz00 = X0
| ( szszuzczcdt0(sK1(X0)) = X0
& aElementOf0(sK1(X0),szNzAzT0) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f234,f247]) ).
fof(f247,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
=> ( szszuzczcdt0(sK1(X0)) = X0
& aElementOf0(sK1(X0),szNzAzT0) ) ),
introduced(choice_axiom,[]) ).
fof(f234,plain,
! [X0] :
( sz00 = X0
| ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f233]) ).
fof(f233,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
| sz00 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNatExtra) ).
fof(f7746,plain,
( spl25_868
| spl25_869
| ~ spl25_634 ),
inference(avatar_split_clause,[],[f7618,f6080,f7743,f7739]) ).
fof(f7739,plain,
( spl25_868
<=> szszuzczcdt0(sK11(szNzAzT0,sK7(xd))) = szszuzczcdt0(sK1(szszuzczcdt0(sK11(szNzAzT0,sK7(xd))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_868])]) ).
fof(f7743,plain,
( spl25_869
<=> sz00 = szszuzczcdt0(sK11(szNzAzT0,sK7(xd))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_869])]) ).
fof(f7618,plain,
( sz00 = szszuzczcdt0(sK11(szNzAzT0,sK7(xd)))
| szszuzczcdt0(sK11(szNzAzT0,sK7(xd))) = szszuzczcdt0(sK1(szszuzczcdt0(sK11(szNzAzT0,sK7(xd)))))
| ~ spl25_634 ),
inference(resolution,[],[f6082,f1143]) ).
fof(f1143,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sz00 = szszuzczcdt0(X0)
| szszuzczcdt0(X0) = szszuzczcdt0(sK1(szszuzczcdt0(X0))) ),
inference(resolution,[],[f348,f346]) ).
fof(f346,plain,
! [X0] :
( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f163]) ).
fof(f163,plain,
! [X0] :
( ( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
& sz00 != szszuzczcdt0(X0) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
& sz00 != szszuzczcdt0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccNum) ).
fof(f348,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| szszuzczcdt0(sK1(X0)) = X0
| sz00 = X0 ),
inference(cnf_transformation,[],[f248]) ).
fof(f7737,plain,
( spl25_867
| ~ spl25_107
| ~ spl25_634 ),
inference(avatar_split_clause,[],[f7621,f6080,f1355,f7734]) ).
fof(f7734,plain,
( spl25_867
<=> xT = sdtpldt0(sdtmndt0(xT,sK14(sK11(szNzAzT0,sK7(xd)))),sK14(sK11(szNzAzT0,sK7(xd)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_867])]) ).
fof(f1355,plain,
( spl25_107
<=> ! [X4] :
( xT = sdtpldt0(sdtmndt0(xT,sK14(X4)),sK14(X4))
| ~ aElementOf0(X4,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_107])]) ).
fof(f7621,plain,
( xT = sdtpldt0(sdtmndt0(xT,sK14(sK11(szNzAzT0,sK7(xd)))),sK14(sK11(szNzAzT0,sK7(xd))))
| ~ spl25_107
| ~ spl25_634 ),
inference(resolution,[],[f6082,f1356]) ).
fof(f1356,plain,
( ! [X4] :
( ~ aElementOf0(X4,szNzAzT0)
| xT = sdtpldt0(sdtmndt0(xT,sK14(X4)),sK14(X4)) )
| ~ spl25_107 ),
inference(avatar_component_clause,[],[f1355]) ).
fof(f7732,plain,
( spl25_866
| ~ spl25_92
| ~ spl25_634 ),
inference(avatar_split_clause,[],[f7625,f6080,f1152,f7729]) ).
fof(f7729,plain,
( spl25_866
<=> slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,szszuzczcdt0(sK11(szNzAzT0,sK7(xd)))),sdtlpdtrp0(xe,szszuzczcdt0(sK11(szNzAzT0,sK7(xd))))),sz00) = szDzozmdt0(sdtlpdtrp0(xC,szszuzczcdt0(sK11(szNzAzT0,sK7(xd))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_866])]) ).
fof(f7625,plain,
( slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,szszuzczcdt0(sK11(szNzAzT0,sK7(xd)))),sdtlpdtrp0(xe,szszuzczcdt0(sK11(szNzAzT0,sK7(xd))))),sz00) = szDzozmdt0(sdtlpdtrp0(xC,szszuzczcdt0(sK11(szNzAzT0,sK7(xd)))))
| ~ spl25_92
| ~ spl25_634 ),
inference(resolution,[],[f6082,f1793]) ).
fof(f1793,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| szDzozmdt0(sdtlpdtrp0(xC,szszuzczcdt0(X0))) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtlpdtrp0(xe,szszuzczcdt0(X0))),sz00) )
| ~ spl25_92 ),
inference(backward_demodulation,[],[f921,f1154]) ).
fof(f921,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtlpdtrp0(xe,szszuzczcdt0(X0))),xk) = szDzozmdt0(sdtlpdtrp0(xC,szszuzczcdt0(X0))) ),
inference(resolution,[],[f346,f734]) ).
fof(f7727,plain,
( spl25_865
| spl25_848
| ~ spl25_92
| ~ spl25_634 ),
inference(avatar_split_clause,[],[f7626,f6080,f1152,f7640,f7724]) ).
fof(f7724,plain,
( spl25_865
<=> szDzozmdt0(sdtlpdtrp0(xC,sK1(sK11(szNzAzT0,sK7(xd))))) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK1(sK11(szNzAzT0,sK7(xd)))),sdtlpdtrp0(xe,sK1(sK11(szNzAzT0,sK7(xd))))),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_865])]) ).
fof(f7626,plain,
( sz00 = sK11(szNzAzT0,sK7(xd))
| szDzozmdt0(sdtlpdtrp0(xC,sK1(sK11(szNzAzT0,sK7(xd))))) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK1(sK11(szNzAzT0,sK7(xd)))),sdtlpdtrp0(xe,sK1(sK11(szNzAzT0,sK7(xd))))),sz00)
| ~ spl25_92
| ~ spl25_634 ),
inference(resolution,[],[f6082,f1805]) ).
fof(f1805,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK1(X0)),sdtlpdtrp0(xe,sK1(X0))),sz00) = szDzozmdt0(sdtlpdtrp0(xC,sK1(X0)))
| sz00 = X0 )
| ~ spl25_92 ),
inference(backward_demodulation,[],[f1075,f1154]) ).
fof(f1075,plain,
! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK1(X0)),sdtlpdtrp0(xe,sK1(X0))),xk) = szDzozmdt0(sdtlpdtrp0(xC,sK1(X0))) ),
inference(resolution,[],[f347,f734]) ).
fof(f7722,plain,
( spl25_864
| ~ spl25_634 ),
inference(avatar_split_clause,[],[f7616,f6080,f7719]) ).
fof(f7719,plain,
( spl25_864
<=> sdtlpdtrp0(xe,szszuzczcdt0(sK11(szNzAzT0,sK7(xd)))) = szmzizndt0(sdtlpdtrp0(xN,szszuzczcdt0(sK11(szNzAzT0,sK7(xd))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_864])]) ).
fof(f7616,plain,
( sdtlpdtrp0(xe,szszuzczcdt0(sK11(szNzAzT0,sK7(xd)))) = szmzizndt0(sdtlpdtrp0(xN,szszuzczcdt0(sK11(szNzAzT0,sK7(xd)))))
| ~ spl25_634 ),
inference(resolution,[],[f6082,f922]) ).
fof(f922,plain,
! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| sdtlpdtrp0(xe,szszuzczcdt0(X1)) = szmzizndt0(sdtlpdtrp0(xN,szszuzczcdt0(X1))) ),
inference(resolution,[],[f346,f357]) ).
fof(f7717,plain,
( spl25_862
| ~ spl25_256
| ~ spl25_634 ),
inference(avatar_split_clause,[],[f7629,f6080,f2504,f7708]) ).
fof(f7708,plain,
( spl25_862
<=> aElement0(sK11(szNzAzT0,sK7(xd))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_862])]) ).
fof(f2504,plain,
( spl25_256
<=> ! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_256])]) ).
fof(f7629,plain,
( aElement0(sK11(szNzAzT0,sK7(xd)))
| ~ spl25_256
| ~ spl25_634 ),
inference(resolution,[],[f6082,f2505]) ).
fof(f2505,plain,
( ! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| aElement0(X1) )
| ~ spl25_256 ),
inference(avatar_component_clause,[],[f2504]) ).
fof(f7716,plain,
( spl25_863
| ~ spl25_104
| ~ spl25_634 ),
inference(avatar_split_clause,[],[f7620,f6080,f1341,f7713]) ).
fof(f7713,plain,
( spl25_863
<=> szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,szszuzczcdt0(sK11(szNzAzT0,sK7(xd)))),szszuzczcdt0(sK11(szNzAzT0,sK7(xd)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_863])]) ).
fof(f1341,plain,
( spl25_104
<=> ! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,szszuzczcdt0(X2)),szszuzczcdt0(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_104])]) ).
fof(f7620,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,szszuzczcdt0(sK11(szNzAzT0,sK7(xd)))),szszuzczcdt0(sK11(szNzAzT0,sK7(xd))))
| ~ spl25_104
| ~ spl25_634 ),
inference(resolution,[],[f6082,f1342]) ).
fof(f1342,plain,
( ! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,szszuzczcdt0(X2)),szszuzczcdt0(X2)) )
| ~ spl25_104 ),
inference(avatar_component_clause,[],[f1341]) ).
fof(f7711,plain,
( spl25_862
| ~ spl25_14
| ~ spl25_634 ),
inference(avatar_split_clause,[],[f7632,f6080,f639,f7708]) ).
fof(f7632,plain,
( ~ aSet0(szNzAzT0)
| aElement0(sK11(szNzAzT0,sK7(xd)))
| ~ spl25_634 ),
inference(resolution,[],[f6082,f473]) ).
fof(f7706,plain,
( spl25_861
| ~ spl25_14
| ~ spl25_634 ),
inference(avatar_split_clause,[],[f7633,f6080,f639,f7703]) ).
fof(f7703,plain,
( spl25_861
<=> szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK11(szNzAzT0,sK7(xd))),sK11(szNzAzT0,sK7(xd))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_861])]) ).
fof(f7633,plain,
( ~ aSet0(szNzAzT0)
| szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK11(szNzAzT0,sK7(xd))),sK11(szNzAzT0,sK7(xd)))
| ~ spl25_634 ),
inference(resolution,[],[f6082,f410]) ).
fof(f7701,plain,
( spl25_860
| ~ spl25_634 ),
inference(avatar_split_clause,[],[f7614,f6080,f7698]) ).
fof(f7698,plain,
( spl25_860
<=> sK11(szNzAzT0,sK7(xd)) = sbrdtbr0(slbdtrb0(sK11(szNzAzT0,sK7(xd)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_860])]) ).
fof(f7614,plain,
( sK11(szNzAzT0,sK7(xd)) = sbrdtbr0(slbdtrb0(sK11(szNzAzT0,sK7(xd))))
| ~ spl25_634 ),
inference(resolution,[],[f6082,f475]) ).
fof(f475,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sbrdtbr0(slbdtrb0(X0)) = X0 ),
inference(cnf_transformation,[],[f177]) ).
fof(f177,plain,
! [X0] :
( sbrdtbr0(slbdtrb0(X0)) = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f56]) ).
fof(f56,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sbrdtbr0(slbdtrb0(X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardSeg) ).
fof(f7696,plain,
( spl25_848
| spl25_858
| spl25_859
| ~ spl25_634 ),
inference(avatar_split_clause,[],[f7619,f6080,f7693,f7689,f7640]) ).
fof(f7689,plain,
( spl25_858
<=> szszuzczcdt0(sK1(sK1(sK11(szNzAzT0,sK7(xd))))) = sK1(sK11(szNzAzT0,sK7(xd))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_858])]) ).
fof(f7693,plain,
( spl25_859
<=> sz00 = sK1(sK11(szNzAzT0,sK7(xd))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_859])]) ).
fof(f7619,plain,
( sz00 = sK1(sK11(szNzAzT0,sK7(xd)))
| szszuzczcdt0(sK1(sK1(sK11(szNzAzT0,sK7(xd))))) = sK1(sK11(szNzAzT0,sK7(xd)))
| sz00 = sK11(szNzAzT0,sK7(xd))
| ~ spl25_634 ),
inference(resolution,[],[f6082,f1146]) ).
fof(f1146,plain,
! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| sz00 = sK1(X1)
| sK1(X1) = szszuzczcdt0(sK1(sK1(X1)))
| sz00 = X1 ),
inference(resolution,[],[f348,f347]) ).
fof(f7687,plain,
( spl25_857
| ~ spl25_265
| ~ spl25_634 ),
inference(avatar_split_clause,[],[f7631,f6080,f2559,f7684]) ).
fof(f7684,plain,
( spl25_857
<=> aElement0(sK19(sK11(szNzAzT0,sK7(xd)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_857])]) ).
fof(f2559,plain,
( spl25_265
<=> ! [X5] :
( ~ aElementOf0(X5,szNzAzT0)
| aElement0(sK19(X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_265])]) ).
fof(f7631,plain,
( aElement0(sK19(sK11(szNzAzT0,sK7(xd))))
| ~ spl25_265
| ~ spl25_634 ),
inference(resolution,[],[f6082,f2560]) ).
fof(f2560,plain,
( ! [X5] :
( ~ aElementOf0(X5,szNzAzT0)
| aElement0(sK19(X5)) )
| ~ spl25_265 ),
inference(avatar_component_clause,[],[f2559]) ).
fof(f7682,plain,
( spl25_848
| spl25_856
| ~ spl25_234
| ~ spl25_634 ),
inference(avatar_split_clause,[],[f7628,f6080,f2302,f7679,f7640]) ).
fof(f7679,plain,
( spl25_856
<=> aElementOf0(sK11(szNzAzT0,sK11(szNzAzT0,sK7(xd))),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_856])]) ).
fof(f2302,plain,
( spl25_234
<=> ! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(sK11(szNzAzT0,X0),szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_234])]) ).
fof(f7628,plain,
( aElementOf0(sK11(szNzAzT0,sK11(szNzAzT0,sK7(xd))),szNzAzT0)
| sz00 = sK11(szNzAzT0,sK7(xd))
| ~ spl25_234
| ~ spl25_634 ),
inference(resolution,[],[f6082,f2303]) ).
fof(f2303,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sz00 = X0
| aElementOf0(sK11(szNzAzT0,X0),szNzAzT0) )
| ~ spl25_234 ),
inference(avatar_component_clause,[],[f2302]) ).
fof(f7677,plain,
( spl25_855
| ~ spl25_92
| ~ spl25_634 ),
inference(avatar_split_clause,[],[f7624,f6080,f1152,f7674]) ).
fof(f7674,plain,
( spl25_855
<=> slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK11(szNzAzT0,sK7(xd))),sdtlpdtrp0(xe,sK11(szNzAzT0,sK7(xd)))),sz00) = szDzozmdt0(sdtlpdtrp0(xC,sK11(szNzAzT0,sK7(xd)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_855])]) ).
fof(f7624,plain,
( slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK11(szNzAzT0,sK7(xd))),sdtlpdtrp0(xe,sK11(szNzAzT0,sK7(xd)))),sz00) = szDzozmdt0(sdtlpdtrp0(xC,sK11(szNzAzT0,sK7(xd))))
| ~ spl25_92
| ~ spl25_634 ),
inference(resolution,[],[f6082,f1784]) ).
fof(f1784,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| szDzozmdt0(sdtlpdtrp0(xC,X0)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xe,X0)),sz00) )
| ~ spl25_92 ),
inference(backward_demodulation,[],[f734,f1154]) ).
fof(f7672,plain,
( spl25_853
| spl25_854
| ~ spl25_92
| ~ spl25_126
| ~ spl25_634 ),
inference(avatar_split_clause,[],[f7627,f6080,f1478,f1152,f7669,f7665]) ).
fof(f7665,plain,
( spl25_853
<=> sdtlseqdt0(sK11(szNzAzT0,sK7(xd)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_853])]) ).
fof(f7669,plain,
( spl25_854
<=> sdtlseqdt0(xK,sK11(szNzAzT0,sK7(xd))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_854])]) ).
fof(f1478,plain,
( spl25_126
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(xK,X0)
| sdtlseqdt0(X0,xk) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_126])]) ).
fof(f7627,plain,
( sdtlseqdt0(xK,sK11(szNzAzT0,sK7(xd)))
| sdtlseqdt0(sK11(szNzAzT0,sK7(xd)),sz00)
| ~ spl25_92
| ~ spl25_126
| ~ spl25_634 ),
inference(resolution,[],[f6082,f1812]) ).
fof(f1812,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(xK,X0)
| sdtlseqdt0(X0,sz00) )
| ~ spl25_92
| ~ spl25_126 ),
inference(backward_demodulation,[],[f1479,f1154]) ).
fof(f1479,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(xK,X0)
| sdtlseqdt0(X0,xk) )
| ~ spl25_126 ),
inference(avatar_component_clause,[],[f1478]) ).
fof(f7663,plain,
( spl25_852
| ~ spl25_110
| ~ spl25_634 ),
inference(avatar_split_clause,[],[f7623,f6080,f1368,f7660]) ).
fof(f7660,plain,
( spl25_852
<=> xT = sdtpldt0(sdtmndt0(xT,sK19(sK11(szNzAzT0,sK7(xd)))),sK19(sK11(szNzAzT0,sK7(xd)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_852])]) ).
fof(f1368,plain,
( spl25_110
<=> ! [X5] :
( xT = sdtpldt0(sdtmndt0(xT,sK19(X5)),sK19(X5))
| ~ aElementOf0(X5,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_110])]) ).
fof(f7623,plain,
( xT = sdtpldt0(sdtmndt0(xT,sK19(sK11(szNzAzT0,sK7(xd)))),sK19(sK11(szNzAzT0,sK7(xd))))
| ~ spl25_110
| ~ spl25_634 ),
inference(resolution,[],[f6082,f1369]) ).
fof(f1369,plain,
( ! [X5] :
( ~ aElementOf0(X5,szNzAzT0)
| xT = sdtpldt0(sdtmndt0(xT,sK19(X5)),sK19(X5)) )
| ~ spl25_110 ),
inference(avatar_component_clause,[],[f1368]) ).
fof(f7658,plain,
( spl25_851
| ~ spl25_261
| ~ spl25_634 ),
inference(avatar_split_clause,[],[f7630,f6080,f2539,f7655]) ).
fof(f7655,plain,
( spl25_851
<=> aElement0(sK14(sK11(szNzAzT0,sK7(xd)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_851])]) ).
fof(f2539,plain,
( spl25_261
<=> ! [X4] :
( ~ aElementOf0(X4,szNzAzT0)
| aElement0(sK14(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_261])]) ).
fof(f7630,plain,
( aElement0(sK14(sK11(szNzAzT0,sK7(xd))))
| ~ spl25_261
| ~ spl25_634 ),
inference(resolution,[],[f6082,f2540]) ).
fof(f2540,plain,
( ! [X4] :
( ~ aElementOf0(X4,szNzAzT0)
| aElement0(sK14(X4)) )
| ~ spl25_261 ),
inference(avatar_component_clause,[],[f2539]) ).
fof(f7653,plain,
( spl25_850
| spl25_848
| ~ spl25_109
| ~ spl25_634 ),
inference(avatar_split_clause,[],[f7622,f6080,f1364,f7640,f7650]) ).
fof(f7650,plain,
( spl25_850
<=> szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK1(sK11(szNzAzT0,sK7(xd)))),sK1(sK11(szNzAzT0,sK7(xd)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_850])]) ).
fof(f1364,plain,
( spl25_109
<=> ! [X3] :
( ~ aElementOf0(X3,szNzAzT0)
| sz00 = X3
| szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK1(X3)),sK1(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_109])]) ).
fof(f7622,plain,
( sz00 = sK11(szNzAzT0,sK7(xd))
| szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK1(sK11(szNzAzT0,sK7(xd)))),sK1(sK11(szNzAzT0,sK7(xd))))
| ~ spl25_109
| ~ spl25_634 ),
inference(resolution,[],[f6082,f1365]) ).
fof(f1365,plain,
( ! [X3] :
( ~ aElementOf0(X3,szNzAzT0)
| sz00 = X3
| szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK1(X3)),sK1(X3)) )
| ~ spl25_109 ),
inference(avatar_component_clause,[],[f1364]) ).
fof(f7648,plain,
( spl25_849
| ~ spl25_634 ),
inference(avatar_split_clause,[],[f7608,f6080,f7645]) ).
fof(f7645,plain,
( spl25_849
<=> sdtlpdtrp0(xe,sK11(szNzAzT0,sK7(xd))) = szmzizndt0(sdtlpdtrp0(xN,sK11(szNzAzT0,sK7(xd)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_849])]) ).
fof(f7608,plain,
( sdtlpdtrp0(xe,sK11(szNzAzT0,sK7(xd))) = szmzizndt0(sdtlpdtrp0(xN,sK11(szNzAzT0,sK7(xd))))
| ~ spl25_634 ),
inference(resolution,[],[f6082,f357]) ).
fof(f7643,plain,
( spl25_847
| spl25_848
| ~ spl25_634 ),
inference(avatar_split_clause,[],[f7607,f6080,f7640,f7636]) ).
fof(f7636,plain,
( spl25_847
<=> szszuzczcdt0(sK1(sK11(szNzAzT0,sK7(xd)))) = sK11(szNzAzT0,sK7(xd)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_847])]) ).
fof(f7607,plain,
( sz00 = sK11(szNzAzT0,sK7(xd))
| szszuzczcdt0(sK1(sK11(szNzAzT0,sK7(xd)))) = sK11(szNzAzT0,sK7(xd))
| ~ spl25_634 ),
inference(resolution,[],[f6082,f348]) ).
fof(f7606,plain,
( spl25_844
| spl25_395
| ~ spl25_845
| ~ spl25_846
| spl25_84
| ~ spl25_30
| ~ spl25_389 ),
inference(avatar_split_clause,[],[f7571,f3692,f724,f1105,f7603,f7599,f3820,f7595]) ).
fof(f7595,plain,
( spl25_844
<=> szmzizndt0(sdtlcdtrc0(xe,szNzAzT0)) = szmzizndt0(xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_844])]) ).
fof(f3820,plain,
( spl25_395
<=> slcrc0 = sdtlcdtrc0(xe,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_395])]) ).
fof(f7599,plain,
( spl25_845
<=> aElementOf0(szmzizndt0(sdtlcdtrc0(xe,szNzAzT0)),xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_845])]) ).
fof(f7603,plain,
( spl25_846
<=> aSubsetOf0(sdtlcdtrc0(xe,szNzAzT0),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_846])]) ).
fof(f1105,plain,
( spl25_84
<=> slcrc0 = xS ),
introduced(avatar_definition,[new_symbols(naming,[spl25_84])]) ).
fof(f3692,plain,
( spl25_389
<=> aElementOf0(szmzizndt0(xS),sdtlcdtrc0(xe,szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_389])]) ).
fof(f7571,plain,
( ~ aSubsetOf0(xS,szNzAzT0)
| slcrc0 = xS
| ~ aSubsetOf0(sdtlcdtrc0(xe,szNzAzT0),szNzAzT0)
| ~ aElementOf0(szmzizndt0(sdtlcdtrc0(xe,szNzAzT0)),xS)
| slcrc0 = sdtlcdtrc0(xe,szNzAzT0)
| szmzizndt0(sdtlcdtrc0(xe,szNzAzT0)) = szmzizndt0(xS)
| ~ spl25_389 ),
inference(resolution,[],[f3694,f412]) ).
fof(f3694,plain,
( aElementOf0(szmzizndt0(xS),sdtlcdtrc0(xe,szNzAzT0))
| ~ spl25_389 ),
inference(avatar_component_clause,[],[f3692]) ).
fof(f7593,plain,
( ~ spl25_245
| ~ spl25_33
| spl25_843
| ~ spl25_13
| ~ spl25_389 ),
inference(avatar_split_clause,[],[f7588,f3692,f634,f7590,f741,f2402]) ).
fof(f2402,plain,
( spl25_245
<=> aSubsetOf0(szNzAzT0,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_245])]) ).
fof(f7590,plain,
( spl25_843
<=> aElementOf0(sK22(xe,szNzAzT0,szmzizndt0(xS)),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_843])]) ).
fof(f7588,plain,
( aElementOf0(sK22(xe,szNzAzT0,szmzizndt0(xS)),szNzAzT0)
| ~ aFunction0(xe)
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| ~ spl25_13
| ~ spl25_389 ),
inference(forward_demodulation,[],[f7573,f636]) ).
fof(f7573,plain,
( ~ aSubsetOf0(szNzAzT0,szDzozmdt0(xe))
| ~ aFunction0(xe)
| aElementOf0(sK22(xe,szNzAzT0,szmzizndt0(xS)),szNzAzT0)
| ~ spl25_389 ),
inference(resolution,[],[f3694,f571]) ).
fof(f571,plain,
! [X0,X1,X6] :
( ~ aElementOf0(X6,sdtlcdtrc0(X0,X1))
| ~ aFunction0(X0)
| aElementOf0(sK22(X0,X1,X6),X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) ),
inference(equality_resolution,[],[f507]) ).
fof(f507,plain,
! [X2,X0,X1,X6] :
( aElementOf0(sK22(X0,X1,X6),X1)
| ~ aElementOf0(X6,X2)
| sdtlcdtrc0(X0,X1) != X2
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f331]) ).
fof(f7587,plain,
( spl25_842
| ~ spl25_386
| ~ spl25_389 ),
inference(avatar_split_clause,[],[f7575,f3692,f3679,f7584]) ).
fof(f7584,plain,
( spl25_842
<=> sdtpldt0(sdtmndt0(sdtlcdtrc0(xe,szNzAzT0),szmzizndt0(xS)),szmzizndt0(xS)) = sdtlcdtrc0(xe,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_842])]) ).
fof(f3679,plain,
( spl25_386
<=> aSet0(sdtlcdtrc0(xe,szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_386])]) ).
fof(f7575,plain,
( ~ aSet0(sdtlcdtrc0(xe,szNzAzT0))
| sdtpldt0(sdtmndt0(sdtlcdtrc0(xe,szNzAzT0),szmzizndt0(xS)),szmzizndt0(xS)) = sdtlcdtrc0(xe,szNzAzT0)
| ~ spl25_389 ),
inference(resolution,[],[f3694,f410]) ).
fof(f7582,plain,
( ~ spl25_33
| spl25_841
| ~ spl25_245
| ~ spl25_13
| ~ spl25_389 ),
inference(avatar_split_clause,[],[f7577,f3692,f634,f2402,f7579,f741]) ).
fof(f7579,plain,
( spl25_841
<=> sdtlpdtrp0(xe,sK22(xe,szNzAzT0,szmzizndt0(xS))) = szmzizndt0(xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_841])]) ).
fof(f7577,plain,
( ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| sdtlpdtrp0(xe,sK22(xe,szNzAzT0,szmzizndt0(xS))) = szmzizndt0(xS)
| ~ aFunction0(xe)
| ~ spl25_13
| ~ spl25_389 ),
inference(forward_demodulation,[],[f7572,f636]) ).
fof(f7572,plain,
( sdtlpdtrp0(xe,sK22(xe,szNzAzT0,szmzizndt0(xS))) = szmzizndt0(xS)
| ~ aFunction0(xe)
| ~ aSubsetOf0(szNzAzT0,szDzozmdt0(xe))
| ~ spl25_389 ),
inference(resolution,[],[f3694,f570]) ).
fof(f7570,plain,
( spl25_840
| ~ spl25_245
| ~ spl25_28
| ~ spl25_15
| ~ spl25_375 ),
inference(avatar_split_clause,[],[f7565,f3600,f644,f713,f2402,f7567]) ).
fof(f7567,plain,
( spl25_840
<=> sdtlpdtrp0(xd,sK22(xd,szNzAzT0,sK19(sz00))) = sK19(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_840])]) ).
fof(f3600,plain,
( spl25_375
<=> aElementOf0(sK19(sz00),sdtlcdtrc0(xd,szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_375])]) ).
fof(f7565,plain,
( ~ aFunction0(xd)
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| sdtlpdtrp0(xd,sK22(xd,szNzAzT0,sK19(sz00))) = sK19(sz00)
| ~ spl25_15
| ~ spl25_375 ),
inference(forward_demodulation,[],[f7549,f646]) ).
fof(f7549,plain,
( ~ aSubsetOf0(szNzAzT0,szDzozmdt0(xd))
| sdtlpdtrp0(xd,sK22(xd,szNzAzT0,sK19(sz00))) = sK19(sz00)
| ~ aFunction0(xd)
| ~ spl25_375 ),
inference(resolution,[],[f3602,f570]) ).
fof(f3602,plain,
( aElementOf0(sK19(sz00),sdtlcdtrc0(xd,szNzAzT0))
| ~ spl25_375 ),
inference(avatar_component_clause,[],[f3600]) ).
fof(f7564,plain,
( spl25_839
| ~ spl25_245
| ~ spl25_28
| ~ spl25_15
| ~ spl25_375 ),
inference(avatar_split_clause,[],[f7559,f3600,f644,f713,f2402,f7561]) ).
fof(f7561,plain,
( spl25_839
<=> aElementOf0(sK22(xd,szNzAzT0,sK19(sz00)),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_839])]) ).
fof(f7559,plain,
( ~ aFunction0(xd)
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| aElementOf0(sK22(xd,szNzAzT0,sK19(sz00)),szNzAzT0)
| ~ spl25_15
| ~ spl25_375 ),
inference(forward_demodulation,[],[f7550,f646]) ).
fof(f7550,plain,
( aElementOf0(sK22(xd,szNzAzT0,sK19(sz00)),szNzAzT0)
| ~ aFunction0(xd)
| ~ aSubsetOf0(szNzAzT0,szDzozmdt0(xd))
| ~ spl25_375 ),
inference(resolution,[],[f3602,f571]) ).
fof(f7558,plain,
( ~ spl25_71
| spl25_838
| ~ spl25_375 ),
inference(avatar_split_clause,[],[f7552,f3600,f7555,f1010]) ).
fof(f1010,plain,
( spl25_71
<=> aSet0(sdtlcdtrc0(xd,szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_71])]) ).
fof(f7555,plain,
( spl25_838
<=> sdtlcdtrc0(xd,szNzAzT0) = sdtpldt0(sdtmndt0(sdtlcdtrc0(xd,szNzAzT0),sK19(sz00)),sK19(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_838])]) ).
fof(f7552,plain,
( sdtlcdtrc0(xd,szNzAzT0) = sdtpldt0(sdtmndt0(sdtlcdtrc0(xd,szNzAzT0),sK19(sz00)),sK19(sz00))
| ~ aSet0(sdtlcdtrc0(xd,szNzAzT0))
| ~ spl25_375 ),
inference(resolution,[],[f3602,f410]) ).
fof(f7548,plain,
( spl25_823
| spl25_837
| ~ spl25_234
| ~ spl25_719 ),
inference(avatar_split_clause,[],[f7424,f6710,f2302,f7545,f7476]) ).
fof(f7476,plain,
( spl25_823
<=> sz00 = sK22(xC,szNzAzT0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_823])]) ).
fof(f7545,plain,
( spl25_837
<=> aElementOf0(sK11(szNzAzT0,sK22(xC,szNzAzT0,sK2)),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_837])]) ).
fof(f6710,plain,
( spl25_719
<=> aElementOf0(sK22(xC,szNzAzT0,sK2),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_719])]) ).
fof(f7424,plain,
( aElementOf0(sK11(szNzAzT0,sK22(xC,szNzAzT0,sK2)),szNzAzT0)
| sz00 = sK22(xC,szNzAzT0,sK2)
| ~ spl25_234
| ~ spl25_719 ),
inference(resolution,[],[f6712,f2303]) ).
fof(f6712,plain,
( aElementOf0(sK22(xC,szNzAzT0,sK2),szNzAzT0)
| ~ spl25_719 ),
inference(avatar_component_clause,[],[f6710]) ).
fof(f7543,plain,
( ~ spl25_14
| spl25_814
| ~ spl25_719 ),
inference(avatar_split_clause,[],[f7428,f6710,f7432,f639]) ).
fof(f7432,plain,
( spl25_814
<=> aElement0(sK22(xC,szNzAzT0,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_814])]) ).
fof(f7428,plain,
( aElement0(sK22(xC,szNzAzT0,sK2))
| ~ aSet0(szNzAzT0)
| ~ spl25_719 ),
inference(resolution,[],[f6712,f473]) ).
fof(f7542,plain,
( spl25_836
| ~ spl25_107
| ~ spl25_719 ),
inference(avatar_split_clause,[],[f7417,f6710,f1355,f7539]) ).
fof(f7539,plain,
( spl25_836
<=> xT = sdtpldt0(sdtmndt0(xT,sK14(sK22(xC,szNzAzT0,sK2))),sK14(sK22(xC,szNzAzT0,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_836])]) ).
fof(f7417,plain,
( xT = sdtpldt0(sdtmndt0(xT,sK14(sK22(xC,szNzAzT0,sK2))),sK14(sK22(xC,szNzAzT0,sK2)))
| ~ spl25_107
| ~ spl25_719 ),
inference(resolution,[],[f6712,f1356]) ).
fof(f7537,plain,
( spl25_823
| spl25_834
| spl25_835
| ~ spl25_719 ),
inference(avatar_split_clause,[],[f7415,f6710,f7534,f7530,f7476]) ).
fof(f7530,plain,
( spl25_834
<=> sz00 = sK1(sK22(xC,szNzAzT0,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_834])]) ).
fof(f7534,plain,
( spl25_835
<=> sK1(sK22(xC,szNzAzT0,sK2)) = szszuzczcdt0(sK1(sK1(sK22(xC,szNzAzT0,sK2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_835])]) ).
fof(f7415,plain,
( sK1(sK22(xC,szNzAzT0,sK2)) = szszuzczcdt0(sK1(sK1(sK22(xC,szNzAzT0,sK2))))
| sz00 = sK1(sK22(xC,szNzAzT0,sK2))
| sz00 = sK22(xC,szNzAzT0,sK2)
| ~ spl25_719 ),
inference(resolution,[],[f6712,f1146]) ).
fof(f7528,plain,
( spl25_833
| spl25_823
| ~ spl25_719 ),
inference(avatar_split_clause,[],[f7403,f6710,f7476,f7525]) ).
fof(f7525,plain,
( spl25_833
<=> szszuzczcdt0(sK1(sK22(xC,szNzAzT0,sK2))) = sK22(xC,szNzAzT0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_833])]) ).
fof(f7403,plain,
( sz00 = sK22(xC,szNzAzT0,sK2)
| szszuzczcdt0(sK1(sK22(xC,szNzAzT0,sK2))) = sK22(xC,szNzAzT0,sK2)
| ~ spl25_719 ),
inference(resolution,[],[f6712,f348]) ).
fof(f7523,plain,
( spl25_823
| spl25_832
| ~ spl25_92
| ~ spl25_719 ),
inference(avatar_split_clause,[],[f7422,f6710,f1152,f7520,f7476]) ).
fof(f7520,plain,
( spl25_832
<=> slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK1(sK22(xC,szNzAzT0,sK2))),sdtlpdtrp0(xe,sK1(sK22(xC,szNzAzT0,sK2)))),sz00) = szDzozmdt0(sdtlpdtrp0(xC,sK1(sK22(xC,szNzAzT0,sK2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_832])]) ).
fof(f7422,plain,
( slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK1(sK22(xC,szNzAzT0,sK2))),sdtlpdtrp0(xe,sK1(sK22(xC,szNzAzT0,sK2)))),sz00) = szDzozmdt0(sdtlpdtrp0(xC,sK1(sK22(xC,szNzAzT0,sK2))))
| sz00 = sK22(xC,szNzAzT0,sK2)
| ~ spl25_92
| ~ spl25_719 ),
inference(resolution,[],[f6712,f1805]) ).
fof(f7518,plain,
( spl25_830
| spl25_831
| ~ spl25_92
| ~ spl25_126
| ~ spl25_719 ),
inference(avatar_split_clause,[],[f7423,f6710,f1478,f1152,f7515,f7511]) ).
fof(f7511,plain,
( spl25_830
<=> sdtlseqdt0(xK,sK22(xC,szNzAzT0,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_830])]) ).
fof(f7515,plain,
( spl25_831
<=> sdtlseqdt0(sK22(xC,szNzAzT0,sK2),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_831])]) ).
fof(f7423,plain,
( sdtlseqdt0(sK22(xC,szNzAzT0,sK2),sz00)
| sdtlseqdt0(xK,sK22(xC,szNzAzT0,sK2))
| ~ spl25_92
| ~ spl25_126
| ~ spl25_719 ),
inference(resolution,[],[f6712,f1812]) ).
fof(f7509,plain,
( spl25_829
| ~ spl25_92
| ~ spl25_718
| ~ spl25_719 ),
inference(avatar_split_clause,[],[f7504,f6710,f6704,f1152,f7506]) ).
fof(f7506,plain,
( spl25_829
<=> slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK22(xC,szNzAzT0,sK2)),sdtlpdtrp0(xe,sK22(xC,szNzAzT0,sK2))),sz00) = szDzozmdt0(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_829])]) ).
fof(f6704,plain,
( spl25_718
<=> sK2 = sdtlpdtrp0(xC,sK22(xC,szNzAzT0,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_718])]) ).
fof(f7504,plain,
( slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK22(xC,szNzAzT0,sK2)),sdtlpdtrp0(xe,sK22(xC,szNzAzT0,sK2))),sz00) = szDzozmdt0(sK2)
| ~ spl25_92
| ~ spl25_718
| ~ spl25_719 ),
inference(forward_demodulation,[],[f7420,f6706]) ).
fof(f6706,plain,
( sK2 = sdtlpdtrp0(xC,sK22(xC,szNzAzT0,sK2))
| ~ spl25_718 ),
inference(avatar_component_clause,[],[f6704]) ).
fof(f7420,plain,
( slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK22(xC,szNzAzT0,sK2)),sdtlpdtrp0(xe,sK22(xC,szNzAzT0,sK2))),sz00) = szDzozmdt0(sdtlpdtrp0(xC,sK22(xC,szNzAzT0,sK2)))
| ~ spl25_92
| ~ spl25_719 ),
inference(resolution,[],[f6712,f1784]) ).
fof(f7503,plain,
( spl25_828
| ~ spl25_261
| ~ spl25_719 ),
inference(avatar_split_clause,[],[f7426,f6710,f2539,f7500]) ).
fof(f7500,plain,
( spl25_828
<=> aElement0(sK14(sK22(xC,szNzAzT0,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_828])]) ).
fof(f7426,plain,
( aElement0(sK14(sK22(xC,szNzAzT0,sK2)))
| ~ spl25_261
| ~ spl25_719 ),
inference(resolution,[],[f6712,f2540]) ).
fof(f7498,plain,
( spl25_827
| ~ spl25_719 ),
inference(avatar_split_clause,[],[f7412,f6710,f7495]) ).
fof(f7495,plain,
( spl25_827
<=> szmzizndt0(sdtlpdtrp0(xN,szszuzczcdt0(sK22(xC,szNzAzT0,sK2)))) = sdtlpdtrp0(xe,szszuzczcdt0(sK22(xC,szNzAzT0,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_827])]) ).
fof(f7412,plain,
( szmzizndt0(sdtlpdtrp0(xN,szszuzczcdt0(sK22(xC,szNzAzT0,sK2)))) = sdtlpdtrp0(xe,szszuzczcdt0(sK22(xC,szNzAzT0,sK2)))
| ~ spl25_719 ),
inference(resolution,[],[f6712,f922]) ).
fof(f7493,plain,
( spl25_825
| spl25_826
| ~ spl25_719 ),
inference(avatar_split_clause,[],[f7414,f6710,f7490,f7486]) ).
fof(f7486,plain,
( spl25_825
<=> sz00 = szszuzczcdt0(sK22(xC,szNzAzT0,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_825])]) ).
fof(f7490,plain,
( spl25_826
<=> szszuzczcdt0(sK1(szszuzczcdt0(sK22(xC,szNzAzT0,sK2)))) = szszuzczcdt0(sK22(xC,szNzAzT0,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_826])]) ).
fof(f7414,plain,
( szszuzczcdt0(sK1(szszuzczcdt0(sK22(xC,szNzAzT0,sK2)))) = szszuzczcdt0(sK22(xC,szNzAzT0,sK2))
| sz00 = szszuzczcdt0(sK22(xC,szNzAzT0,sK2))
| ~ spl25_719 ),
inference(resolution,[],[f6712,f1143]) ).
fof(f7484,plain,
( spl25_823
| spl25_824
| ~ spl25_109
| ~ spl25_719 ),
inference(avatar_split_clause,[],[f7418,f6710,f1364,f7481,f7476]) ).
fof(f7481,plain,
( spl25_824
<=> szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK1(sK22(xC,szNzAzT0,sK2))),sK1(sK22(xC,szNzAzT0,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_824])]) ).
fof(f7418,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK1(sK22(xC,szNzAzT0,sK2))),sK1(sK22(xC,szNzAzT0,sK2)))
| sz00 = sK22(xC,szNzAzT0,sK2)
| ~ spl25_109
| ~ spl25_719 ),
inference(resolution,[],[f6712,f1365]) ).
fof(f7479,plain,
( spl25_822
| spl25_823
| ~ spl25_719 ),
inference(avatar_split_clause,[],[f7413,f6710,f7476,f7472]) ).
fof(f7472,plain,
( spl25_822
<=> sdtlpdtrp0(xe,sK1(sK22(xC,szNzAzT0,sK2))) = szmzizndt0(sdtlpdtrp0(xN,sK1(sK22(xC,szNzAzT0,sK2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_822])]) ).
fof(f7413,plain,
( sz00 = sK22(xC,szNzAzT0,sK2)
| sdtlpdtrp0(xe,sK1(sK22(xC,szNzAzT0,sK2))) = szmzizndt0(sdtlpdtrp0(xN,sK1(sK22(xC,szNzAzT0,sK2))))
| ~ spl25_719 ),
inference(resolution,[],[f6712,f1076]) ).
fof(f7470,plain,
( spl25_821
| ~ spl25_719 ),
inference(avatar_split_clause,[],[f7404,f6710,f7467]) ).
fof(f7467,plain,
( spl25_821
<=> szmzizndt0(sdtlpdtrp0(xN,sK22(xC,szNzAzT0,sK2))) = sdtlpdtrp0(xe,sK22(xC,szNzAzT0,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_821])]) ).
fof(f7404,plain,
( szmzizndt0(sdtlpdtrp0(xN,sK22(xC,szNzAzT0,sK2))) = sdtlpdtrp0(xe,sK22(xC,szNzAzT0,sK2))
| ~ spl25_719 ),
inference(resolution,[],[f6712,f357]) ).
fof(f7465,plain,
( spl25_820
| ~ spl25_92
| ~ spl25_719 ),
inference(avatar_split_clause,[],[f7421,f6710,f1152,f7462]) ).
fof(f7462,plain,
( spl25_820
<=> slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,szszuzczcdt0(sK22(xC,szNzAzT0,sK2))),sdtlpdtrp0(xe,szszuzczcdt0(sK22(xC,szNzAzT0,sK2)))),sz00) = szDzozmdt0(sdtlpdtrp0(xC,szszuzczcdt0(sK22(xC,szNzAzT0,sK2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_820])]) ).
fof(f7421,plain,
( slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,szszuzczcdt0(sK22(xC,szNzAzT0,sK2))),sdtlpdtrp0(xe,szszuzczcdt0(sK22(xC,szNzAzT0,sK2)))),sz00) = szDzozmdt0(sdtlpdtrp0(xC,szszuzczcdt0(sK22(xC,szNzAzT0,sK2))))
| ~ spl25_92
| ~ spl25_719 ),
inference(resolution,[],[f6712,f1793]) ).
fof(f7460,plain,
( spl25_819
| ~ spl25_265
| ~ spl25_719 ),
inference(avatar_split_clause,[],[f7427,f6710,f2559,f7457]) ).
fof(f7457,plain,
( spl25_819
<=> aElement0(sK19(sK22(xC,szNzAzT0,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_819])]) ).
fof(f7427,plain,
( aElement0(sK19(sK22(xC,szNzAzT0,sK2)))
| ~ spl25_265
| ~ spl25_719 ),
inference(resolution,[],[f6712,f2560]) ).
fof(f7455,plain,
( spl25_818
| ~ spl25_719 ),
inference(avatar_split_clause,[],[f7410,f6710,f7452]) ).
fof(f7452,plain,
( spl25_818
<=> sK22(xC,szNzAzT0,sK2) = sbrdtbr0(slbdtrb0(sK22(xC,szNzAzT0,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_818])]) ).
fof(f7410,plain,
( sK22(xC,szNzAzT0,sK2) = sbrdtbr0(slbdtrb0(sK22(xC,szNzAzT0,sK2)))
| ~ spl25_719 ),
inference(resolution,[],[f6712,f475]) ).
fof(f7450,plain,
( spl25_817
| ~ spl25_14
| ~ spl25_719 ),
inference(avatar_split_clause,[],[f7429,f6710,f639,f7447]) ).
fof(f7447,plain,
( spl25_817
<=> szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK22(xC,szNzAzT0,sK2)),sK22(xC,szNzAzT0,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_817])]) ).
fof(f7429,plain,
( ~ aSet0(szNzAzT0)
| szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK22(xC,szNzAzT0,sK2)),sK22(xC,szNzAzT0,sK2))
| ~ spl25_719 ),
inference(resolution,[],[f6712,f410]) ).
fof(f7445,plain,
( spl25_816
| ~ spl25_110
| ~ spl25_719 ),
inference(avatar_split_clause,[],[f7419,f6710,f1368,f7442]) ).
fof(f7442,plain,
( spl25_816
<=> xT = sdtpldt0(sdtmndt0(xT,sK19(sK22(xC,szNzAzT0,sK2))),sK19(sK22(xC,szNzAzT0,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_816])]) ).
fof(f7419,plain,
( xT = sdtpldt0(sdtmndt0(xT,sK19(sK22(xC,szNzAzT0,sK2))),sK19(sK22(xC,szNzAzT0,sK2)))
| ~ spl25_110
| ~ spl25_719 ),
inference(resolution,[],[f6712,f1369]) ).
fof(f7440,plain,
( spl25_815
| ~ spl25_104
| ~ spl25_719 ),
inference(avatar_split_clause,[],[f7416,f6710,f1341,f7437]) ).
fof(f7437,plain,
( spl25_815
<=> szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,szszuzczcdt0(sK22(xC,szNzAzT0,sK2))),szszuzczcdt0(sK22(xC,szNzAzT0,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_815])]) ).
fof(f7416,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,szszuzczcdt0(sK22(xC,szNzAzT0,sK2))),szszuzczcdt0(sK22(xC,szNzAzT0,sK2)))
| ~ spl25_104
| ~ spl25_719 ),
inference(resolution,[],[f6712,f1342]) ).
fof(f7435,plain,
( spl25_814
| ~ spl25_256
| ~ spl25_719 ),
inference(avatar_split_clause,[],[f7425,f6710,f2504,f7432]) ).
fof(f7425,plain,
( aElement0(sK22(xC,szNzAzT0,sK2))
| ~ spl25_256
| ~ spl25_719 ),
inference(resolution,[],[f6712,f2505]) ).
fof(f7402,plain,
( spl25_812
| spl25_813
| ~ spl25_808 ),
inference(avatar_split_clause,[],[f7380,f7369,f7399,f7395]) ).
fof(f7395,plain,
( spl25_812
<=> slcrc0 = sdtlbdtrb0(xd,sK19(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_812])]) ).
fof(f7399,plain,
( spl25_813
<=> aElementOf0(sK13(sdtlbdtrb0(xd,sK19(sz00))),sdtlbdtrb0(xd,sK19(sz00))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_813])]) ).
fof(f7369,plain,
( spl25_808
<=> aSet0(sdtlbdtrb0(xd,sK19(sz00))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_808])]) ).
fof(f7380,plain,
( aElementOf0(sK13(sdtlbdtrb0(xd,sK19(sz00))),sdtlbdtrb0(xd,sK19(sz00)))
| slcrc0 = sdtlbdtrb0(xd,sK19(sz00))
| ~ spl25_808 ),
inference(resolution,[],[f7370,f462]) ).
fof(f7370,plain,
( aSet0(sdtlbdtrb0(xd,sK19(sz00)))
| ~ spl25_808 ),
inference(avatar_component_clause,[],[f7369]) ).
fof(f7393,plain,
( spl25_810
| spl25_811
| ~ spl25_116
| ~ spl25_808 ),
inference(avatar_split_clause,[],[f7379,f7369,f1400,f7390,f7386]) ).
fof(f7386,plain,
( spl25_810
<=> sdtlbdtrb0(xd,sK19(sz00)) = sdtmndt0(sdtpldt0(sdtlbdtrb0(xd,sK19(sz00)),sK2),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_810])]) ).
fof(f7390,plain,
( spl25_811
<=> aElementOf0(sK2,sdtlbdtrb0(xd,sK19(sz00))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_811])]) ).
fof(f7379,plain,
( aElementOf0(sK2,sdtlbdtrb0(xd,sK19(sz00)))
| sdtlbdtrb0(xd,sK19(sz00)) = sdtmndt0(sdtpldt0(sdtlbdtrb0(xd,sK19(sz00)),sK2),sK2)
| ~ spl25_116
| ~ spl25_808 ),
inference(resolution,[],[f7370,f2593]) ).
fof(f7378,plain,
( ~ spl25_219
| ~ spl25_28
| spl25_808 ),
inference(avatar_split_clause,[],[f7377,f7369,f713,f2203]) ).
fof(f2203,plain,
( spl25_219
<=> aElement0(sK19(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_219])]) ).
fof(f7377,plain,
( ~ aFunction0(xd)
| ~ aElement0(sK19(sz00))
| spl25_808 ),
inference(resolution,[],[f7371,f529]) ).
fof(f529,plain,
! [X0,X1] :
( aSet0(sdtlbdtrb0(X0,X1))
| ~ aElement0(X1)
| ~ aFunction0(X0) ),
inference(equality_resolution,[],[f373]) ).
fof(f373,plain,
! [X2,X0,X1] :
( aSet0(X2)
| sdtlbdtrb0(X0,X1) != X2
| ~ aElement0(X1)
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f258]) ).
fof(f7371,plain,
( ~ aSet0(sdtlbdtrb0(xd,sK19(sz00)))
| spl25_808 ),
inference(avatar_component_clause,[],[f7369]) ).
fof(f7376,plain,
( ~ spl25_808
| spl25_809
| ~ spl25_218 ),
inference(avatar_split_clause,[],[f7365,f2199,f7373,f7369]) ).
fof(f7373,plain,
( spl25_809
<=> sdtlbdtrb0(xd,sK19(sz00)) = sdtpldt0(sdtmndt0(sdtlbdtrb0(xd,sK19(sz00)),sz00),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_809])]) ).
fof(f2199,plain,
( spl25_218
<=> aElementOf0(sz00,sdtlbdtrb0(xd,sK19(sz00))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_218])]) ).
fof(f7365,plain,
( sdtlbdtrb0(xd,sK19(sz00)) = sdtpldt0(sdtmndt0(sdtlbdtrb0(xd,sK19(sz00)),sz00),sz00)
| ~ aSet0(sdtlbdtrb0(xd,sK19(sz00)))
| ~ spl25_218 ),
inference(resolution,[],[f2201,f410]) ).
fof(f2201,plain,
( aElementOf0(sz00,sdtlbdtrb0(xd,sK19(sz00)))
| ~ spl25_218 ),
inference(avatar_component_clause,[],[f2199]) ).
fof(f7350,plain,
( spl25_807
| ~ spl25_29
| ~ spl25_265 ),
inference(avatar_split_clause,[],[f7325,f2559,f718,f7347]) ).
fof(f7347,plain,
( spl25_807
<=> aElement0(sK19(xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_807])]) ).
fof(f7325,plain,
( aElement0(sK19(xK))
| ~ spl25_29
| ~ spl25_265 ),
inference(resolution,[],[f2560,f720]) ).
fof(f7345,plain,
( spl25_219
| ~ spl25_2
| ~ spl25_265 ),
inference(avatar_split_clause,[],[f7321,f2559,f580,f2203]) ).
fof(f7321,plain,
( aElement0(sK19(sz00))
| ~ spl25_2
| ~ spl25_265 ),
inference(resolution,[],[f2560,f582]) ).
fof(f7344,plain,
( spl25_806
| ~ spl25_209
| ~ spl25_265 ),
inference(avatar_split_clause,[],[f7327,f2559,f2153,f7341]) ).
fof(f7341,plain,
( spl25_806
<=> aElement0(sK19(sK7(xd))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_806])]) ).
fof(f7327,plain,
( aElement0(sK19(sK7(xd)))
| ~ spl25_209
| ~ spl25_265 ),
inference(resolution,[],[f2560,f2155]) ).
fof(f7339,plain,
( spl25_805
| ~ spl25_265
| ~ spl25_311 ),
inference(avatar_split_clause,[],[f7328,f2983,f2559,f7336]) ).
fof(f7336,plain,
( spl25_805
<=> aElement0(sK19(sK13(szNzAzT0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_805])]) ).
fof(f7328,plain,
( aElement0(sK19(sK13(szNzAzT0)))
| ~ spl25_265
| ~ spl25_311 ),
inference(resolution,[],[f2560,f2985]) ).
fof(f7334,plain,
( spl25_804
| ~ spl25_265
| ~ spl25_456 ),
inference(avatar_split_clause,[],[f7323,f4316,f2559,f7331]) ).
fof(f7331,plain,
( spl25_804
<=> aElement0(sK19(szszuzczcdt0(xK))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_804])]) ).
fof(f7323,plain,
( aElement0(sK19(szszuzczcdt0(xK)))
| ~ spl25_265
| ~ spl25_456 ),
inference(resolution,[],[f2560,f4317]) ).
fof(f7320,plain,
( spl25_803
| ~ spl25_261
| ~ spl25_456 ),
inference(avatar_split_clause,[],[f7289,f4316,f2539,f7317]) ).
fof(f7317,plain,
( spl25_803
<=> aElement0(sK14(szszuzczcdt0(xK))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_803])]) ).
fof(f7289,plain,
( aElement0(sK14(szszuzczcdt0(xK)))
| ~ spl25_261
| ~ spl25_456 ),
inference(resolution,[],[f2540,f4317]) ).
fof(f7315,plain,
( spl25_802
| ~ spl25_209
| ~ spl25_261 ),
inference(avatar_split_clause,[],[f7293,f2539,f2153,f7312]) ).
fof(f7312,plain,
( spl25_802
<=> aElement0(sK14(sK7(xd))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_802])]) ).
fof(f7293,plain,
( aElement0(sK14(sK7(xd)))
| ~ spl25_209
| ~ spl25_261 ),
inference(resolution,[],[f2540,f2155]) ).
fof(f7310,plain,
( spl25_801
| ~ spl25_29
| ~ spl25_261 ),
inference(avatar_split_clause,[],[f7291,f2539,f718,f7307]) ).
fof(f7307,plain,
( spl25_801
<=> aElement0(sK14(xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_801])]) ).
fof(f7291,plain,
( aElement0(sK14(xK))
| ~ spl25_29
| ~ spl25_261 ),
inference(resolution,[],[f2540,f720]) ).
fof(f7305,plain,
( spl25_800
| ~ spl25_261
| ~ spl25_311 ),
inference(avatar_split_clause,[],[f7294,f2983,f2539,f7302]) ).
fof(f7302,plain,
( spl25_800
<=> aElement0(sK14(sK13(szNzAzT0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_800])]) ).
fof(f7294,plain,
( aElement0(sK14(sK13(szNzAzT0)))
| ~ spl25_261
| ~ spl25_311 ),
inference(resolution,[],[f2540,f2985]) ).
fof(f7300,plain,
( spl25_799
| ~ spl25_2
| ~ spl25_261 ),
inference(avatar_split_clause,[],[f7287,f2539,f580,f7297]) ).
fof(f7297,plain,
( spl25_799
<=> aElement0(sK14(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_799])]) ).
fof(f7287,plain,
( aElement0(sK14(sz00))
| ~ spl25_2
| ~ spl25_261 ),
inference(resolution,[],[f2540,f582]) ).
fof(f7286,plain,
( spl25_798
| spl25_779
| ~ spl25_234
| ~ spl25_715 ),
inference(avatar_split_clause,[],[f7173,f6677,f2302,f7188,f7283]) ).
fof(f7283,plain,
( spl25_798
<=> aElementOf0(sK11(szNzAzT0,sK22(xe,szNzAzT0,sK2)),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_798])]) ).
fof(f7188,plain,
( spl25_779
<=> sz00 = sK22(xe,szNzAzT0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_779])]) ).
fof(f6677,plain,
( spl25_715
<=> aElementOf0(sK22(xe,szNzAzT0,sK2),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_715])]) ).
fof(f7173,plain,
( sz00 = sK22(xe,szNzAzT0,sK2)
| aElementOf0(sK11(szNzAzT0,sK22(xe,szNzAzT0,sK2)),szNzAzT0)
| ~ spl25_234
| ~ spl25_715 ),
inference(resolution,[],[f6679,f2303]) ).
fof(f6679,plain,
( aElementOf0(sK22(xe,szNzAzT0,sK2),szNzAzT0)
| ~ spl25_715 ),
inference(avatar_component_clause,[],[f6677]) ).
fof(f7281,plain,
( spl25_796
| spl25_797
| ~ spl25_715 ),
inference(avatar_split_clause,[],[f7163,f6677,f7278,f7274]) ).
fof(f7274,plain,
( spl25_796
<=> szszuzczcdt0(sK22(xe,szNzAzT0,sK2)) = szszuzczcdt0(sK1(szszuzczcdt0(sK22(xe,szNzAzT0,sK2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_796])]) ).
fof(f7278,plain,
( spl25_797
<=> sz00 = szszuzczcdt0(sK22(xe,szNzAzT0,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_797])]) ).
fof(f7163,plain,
( sz00 = szszuzczcdt0(sK22(xe,szNzAzT0,sK2))
| szszuzczcdt0(sK22(xe,szNzAzT0,sK2)) = szszuzczcdt0(sK1(szszuzczcdt0(sK22(xe,szNzAzT0,sK2))))
| ~ spl25_715 ),
inference(resolution,[],[f6679,f1143]) ).
fof(f7272,plain,
( spl25_795
| ~ spl25_92
| ~ spl25_715 ),
inference(avatar_split_clause,[],[f7170,f6677,f1152,f7269]) ).
fof(f7269,plain,
( spl25_795
<=> slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,szszuzczcdt0(sK22(xe,szNzAzT0,sK2))),sdtlpdtrp0(xe,szszuzczcdt0(sK22(xe,szNzAzT0,sK2)))),sz00) = szDzozmdt0(sdtlpdtrp0(xC,szszuzczcdt0(sK22(xe,szNzAzT0,sK2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_795])]) ).
fof(f7170,plain,
( slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,szszuzczcdt0(sK22(xe,szNzAzT0,sK2))),sdtlpdtrp0(xe,szszuzczcdt0(sK22(xe,szNzAzT0,sK2)))),sz00) = szDzozmdt0(sdtlpdtrp0(xC,szszuzczcdt0(sK22(xe,szNzAzT0,sK2))))
| ~ spl25_92
| ~ spl25_715 ),
inference(resolution,[],[f6679,f1793]) ).
fof(f7267,plain,
( spl25_794
| ~ spl25_715 ),
inference(avatar_split_clause,[],[f7161,f6677,f7264]) ).
fof(f7264,plain,
( spl25_794
<=> sdtlpdtrp0(xe,szszuzczcdt0(sK22(xe,szNzAzT0,sK2))) = szmzizndt0(sdtlpdtrp0(xN,szszuzczcdt0(sK22(xe,szNzAzT0,sK2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_794])]) ).
fof(f7161,plain,
( sdtlpdtrp0(xe,szszuzczcdt0(sK22(xe,szNzAzT0,sK2))) = szmzizndt0(sdtlpdtrp0(xN,szszuzczcdt0(sK22(xe,szNzAzT0,sK2))))
| ~ spl25_715 ),
inference(resolution,[],[f6679,f922]) ).
fof(f7262,plain,
( spl25_793
| ~ spl25_14
| ~ spl25_715 ),
inference(avatar_split_clause,[],[f7176,f6677,f639,f7259]) ).
fof(f7259,plain,
( spl25_793
<=> szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK22(xe,szNzAzT0,sK2)),sK22(xe,szNzAzT0,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_793])]) ).
fof(f7176,plain,
( ~ aSet0(szNzAzT0)
| szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK22(xe,szNzAzT0,sK2)),sK22(xe,szNzAzT0,sK2))
| ~ spl25_715 ),
inference(resolution,[],[f6679,f410]) ).
fof(f7257,plain,
( spl25_792
| ~ spl25_92
| ~ spl25_714
| ~ spl25_715 ),
inference(avatar_split_clause,[],[f7252,f6677,f6671,f1152,f7254]) ).
fof(f7254,plain,
( spl25_792
<=> slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK22(xe,szNzAzT0,sK2)),sK2),sz00) = szDzozmdt0(sdtlpdtrp0(xC,sK22(xe,szNzAzT0,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_792])]) ).
fof(f6671,plain,
( spl25_714
<=> sK2 = sdtlpdtrp0(xe,sK22(xe,szNzAzT0,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_714])]) ).
fof(f7252,plain,
( slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK22(xe,szNzAzT0,sK2)),sK2),sz00) = szDzozmdt0(sdtlpdtrp0(xC,sK22(xe,szNzAzT0,sK2)))
| ~ spl25_92
| ~ spl25_714
| ~ spl25_715 ),
inference(forward_demodulation,[],[f7169,f6673]) ).
fof(f6673,plain,
( sK2 = sdtlpdtrp0(xe,sK22(xe,szNzAzT0,sK2))
| ~ spl25_714 ),
inference(avatar_component_clause,[],[f6671]) ).
fof(f7169,plain,
( slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK22(xe,szNzAzT0,sK2)),sdtlpdtrp0(xe,sK22(xe,szNzAzT0,sK2))),sz00) = szDzozmdt0(sdtlpdtrp0(xC,sK22(xe,szNzAzT0,sK2)))
| ~ spl25_92
| ~ spl25_715 ),
inference(resolution,[],[f6679,f1784]) ).
fof(f7251,plain,
( spl25_791
| ~ spl25_110
| ~ spl25_715 ),
inference(avatar_split_clause,[],[f7168,f6677,f1368,f7248]) ).
fof(f7248,plain,
( spl25_791
<=> xT = sdtpldt0(sdtmndt0(xT,sK19(sK22(xe,szNzAzT0,sK2))),sK19(sK22(xe,szNzAzT0,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_791])]) ).
fof(f7168,plain,
( xT = sdtpldt0(sdtmndt0(xT,sK19(sK22(xe,szNzAzT0,sK2))),sK19(sK22(xe,szNzAzT0,sK2)))
| ~ spl25_110
| ~ spl25_715 ),
inference(resolution,[],[f6679,f1369]) ).
fof(f7246,plain,
( spl25_790
| ~ spl25_104
| ~ spl25_715 ),
inference(avatar_split_clause,[],[f7165,f6677,f1341,f7243]) ).
fof(f7243,plain,
( spl25_790
<=> szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,szszuzczcdt0(sK22(xe,szNzAzT0,sK2))),szszuzczcdt0(sK22(xe,szNzAzT0,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_790])]) ).
fof(f7165,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,szszuzczcdt0(sK22(xe,szNzAzT0,sK2))),szszuzczcdt0(sK22(xe,szNzAzT0,sK2)))
| ~ spl25_104
| ~ spl25_715 ),
inference(resolution,[],[f6679,f1342]) ).
fof(f7241,plain,
( spl25_789
| ~ spl25_256
| ~ spl25_715 ),
inference(avatar_split_clause,[],[f7174,f6677,f2504,f7237]) ).
fof(f7237,plain,
( spl25_789
<=> aElement0(sK22(xe,szNzAzT0,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_789])]) ).
fof(f7174,plain,
( aElement0(sK22(xe,szNzAzT0,sK2))
| ~ spl25_256
| ~ spl25_715 ),
inference(resolution,[],[f6679,f2505]) ).
fof(f7240,plain,
( spl25_789
| ~ spl25_14
| ~ spl25_715 ),
inference(avatar_split_clause,[],[f7175,f6677,f639,f7237]) ).
fof(f7175,plain,
( ~ aSet0(szNzAzT0)
| aElement0(sK22(xe,szNzAzT0,sK2))
| ~ spl25_715 ),
inference(resolution,[],[f6679,f473]) ).
fof(f7235,plain,
( spl25_779
| spl25_788
| ~ spl25_109
| ~ spl25_715 ),
inference(avatar_split_clause,[],[f7167,f6677,f1364,f7232,f7188]) ).
fof(f7232,plain,
( spl25_788
<=> szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK1(sK22(xe,szNzAzT0,sK2))),sK1(sK22(xe,szNzAzT0,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_788])]) ).
fof(f7167,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK1(sK22(xe,szNzAzT0,sK2))),sK1(sK22(xe,szNzAzT0,sK2)))
| sz00 = sK22(xe,szNzAzT0,sK2)
| ~ spl25_109
| ~ spl25_715 ),
inference(resolution,[],[f6679,f1365]) ).
fof(f7230,plain,
( spl25_787
| ~ spl25_715 ),
inference(avatar_split_clause,[],[f7159,f6677,f7227]) ).
fof(f7227,plain,
( spl25_787
<=> sK22(xe,szNzAzT0,sK2) = sbrdtbr0(slbdtrb0(sK22(xe,szNzAzT0,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_787])]) ).
fof(f7159,plain,
( sK22(xe,szNzAzT0,sK2) = sbrdtbr0(slbdtrb0(sK22(xe,szNzAzT0,sK2)))
| ~ spl25_715 ),
inference(resolution,[],[f6679,f475]) ).
fof(f7225,plain,
( spl25_786
| spl25_779
| ~ spl25_92
| ~ spl25_715 ),
inference(avatar_split_clause,[],[f7171,f6677,f1152,f7188,f7222]) ).
fof(f7222,plain,
( spl25_786
<=> szDzozmdt0(sdtlpdtrp0(xC,sK1(sK22(xe,szNzAzT0,sK2)))) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK1(sK22(xe,szNzAzT0,sK2))),sdtlpdtrp0(xe,sK1(sK22(xe,szNzAzT0,sK2)))),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_786])]) ).
fof(f7171,plain,
( sz00 = sK22(xe,szNzAzT0,sK2)
| szDzozmdt0(sdtlpdtrp0(xC,sK1(sK22(xe,szNzAzT0,sK2)))) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK1(sK22(xe,szNzAzT0,sK2))),sdtlpdtrp0(xe,sK1(sK22(xe,szNzAzT0,sK2)))),sz00)
| ~ spl25_92
| ~ spl25_715 ),
inference(resolution,[],[f6679,f1805]) ).
fof(f7220,plain,
( spl25_779
| spl25_784
| spl25_785
| ~ spl25_715 ),
inference(avatar_split_clause,[],[f7164,f6677,f7217,f7213,f7188]) ).
fof(f7213,plain,
( spl25_784
<=> szszuzczcdt0(sK1(sK1(sK22(xe,szNzAzT0,sK2)))) = sK1(sK22(xe,szNzAzT0,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_784])]) ).
fof(f7217,plain,
( spl25_785
<=> sz00 = sK1(sK22(xe,szNzAzT0,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_785])]) ).
fof(f7164,plain,
( sz00 = sK1(sK22(xe,szNzAzT0,sK2))
| szszuzczcdt0(sK1(sK1(sK22(xe,szNzAzT0,sK2)))) = sK1(sK22(xe,szNzAzT0,sK2))
| sz00 = sK22(xe,szNzAzT0,sK2)
| ~ spl25_715 ),
inference(resolution,[],[f6679,f1146]) ).
fof(f7211,plain,
( spl25_779
| spl25_783
| ~ spl25_715 ),
inference(avatar_split_clause,[],[f7152,f6677,f7208,f7188]) ).
fof(f7208,plain,
( spl25_783
<=> sK22(xe,szNzAzT0,sK2) = szszuzczcdt0(sK1(sK22(xe,szNzAzT0,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_783])]) ).
fof(f7152,plain,
( sK22(xe,szNzAzT0,sK2) = szszuzczcdt0(sK1(sK22(xe,szNzAzT0,sK2)))
| sz00 = sK22(xe,szNzAzT0,sK2)
| ~ spl25_715 ),
inference(resolution,[],[f6679,f348]) ).
fof(f7206,plain,
( spl25_782
| ~ spl25_714
| ~ spl25_715 ),
inference(avatar_split_clause,[],[f7201,f6677,f6671,f7203]) ).
fof(f7203,plain,
( spl25_782
<=> sK2 = szmzizndt0(sdtlpdtrp0(xN,sK22(xe,szNzAzT0,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_782])]) ).
fof(f7201,plain,
( sK2 = szmzizndt0(sdtlpdtrp0(xN,sK22(xe,szNzAzT0,sK2)))
| ~ spl25_714
| ~ spl25_715 ),
inference(forward_demodulation,[],[f7153,f6673]) ).
fof(f7153,plain,
( sdtlpdtrp0(xe,sK22(xe,szNzAzT0,sK2)) = szmzizndt0(sdtlpdtrp0(xN,sK22(xe,szNzAzT0,sK2)))
| ~ spl25_715 ),
inference(resolution,[],[f6679,f357]) ).
fof(f7200,plain,
( spl25_780
| spl25_781
| ~ spl25_92
| ~ spl25_126
| ~ spl25_715 ),
inference(avatar_split_clause,[],[f7172,f6677,f1478,f1152,f7197,f7193]) ).
fof(f7193,plain,
( spl25_780
<=> sdtlseqdt0(sK22(xe,szNzAzT0,sK2),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_780])]) ).
fof(f7197,plain,
( spl25_781
<=> sdtlseqdt0(xK,sK22(xe,szNzAzT0,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_781])]) ).
fof(f7172,plain,
( sdtlseqdt0(xK,sK22(xe,szNzAzT0,sK2))
| sdtlseqdt0(sK22(xe,szNzAzT0,sK2),sz00)
| ~ spl25_92
| ~ spl25_126
| ~ spl25_715 ),
inference(resolution,[],[f6679,f1812]) ).
fof(f7191,plain,
( spl25_778
| spl25_779
| ~ spl25_715 ),
inference(avatar_split_clause,[],[f7162,f6677,f7188,f7184]) ).
fof(f7184,plain,
( spl25_778
<=> sdtlpdtrp0(xe,sK1(sK22(xe,szNzAzT0,sK2))) = szmzizndt0(sdtlpdtrp0(xN,sK1(sK22(xe,szNzAzT0,sK2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_778])]) ).
fof(f7162,plain,
( sz00 = sK22(xe,szNzAzT0,sK2)
| sdtlpdtrp0(xe,sK1(sK22(xe,szNzAzT0,sK2))) = szmzizndt0(sdtlpdtrp0(xN,sK1(sK22(xe,szNzAzT0,sK2))))
| ~ spl25_715 ),
inference(resolution,[],[f6679,f1076]) ).
fof(f7182,plain,
( spl25_777
| ~ spl25_107
| ~ spl25_715 ),
inference(avatar_split_clause,[],[f7166,f6677,f1355,f7179]) ).
fof(f7179,plain,
( spl25_777
<=> xT = sdtpldt0(sdtmndt0(xT,sK14(sK22(xe,szNzAzT0,sK2))),sK14(sK22(xe,szNzAzT0,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_777])]) ).
fof(f7166,plain,
( xT = sdtpldt0(sdtmndt0(xT,sK14(sK22(xe,szNzAzT0,sK2))),sK14(sK22(xe,szNzAzT0,sK2)))
| ~ spl25_107
| ~ spl25_715 ),
inference(resolution,[],[f6679,f1356]) ).
fof(f7150,plain,
( spl25_775
| ~ spl25_776
| ~ spl25_220 ),
inference(avatar_split_clause,[],[f7140,f2209,f7147,f7143]) ).
fof(f7143,plain,
( spl25_775
<=> sdtlbdtrb0(xe,szmzizndt0(xS)) = sdtpldt0(sdtmndt0(sdtlbdtrb0(xe,szmzizndt0(xS)),sz00),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_775])]) ).
fof(f7147,plain,
( spl25_776
<=> aSet0(sdtlbdtrb0(xe,szmzizndt0(xS))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_776])]) ).
fof(f2209,plain,
( spl25_220
<=> aElementOf0(sz00,sdtlbdtrb0(xe,szmzizndt0(xS))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_220])]) ).
fof(f7140,plain,
( ~ aSet0(sdtlbdtrb0(xe,szmzizndt0(xS)))
| sdtlbdtrb0(xe,szmzizndt0(xS)) = sdtpldt0(sdtmndt0(sdtlbdtrb0(xe,szmzizndt0(xS)),sz00),sz00)
| ~ spl25_220 ),
inference(resolution,[],[f2211,f410]) ).
fof(f2211,plain,
( aElementOf0(sz00,sdtlbdtrb0(xe,szmzizndt0(xS)))
| ~ spl25_220 ),
inference(avatar_component_clause,[],[f2209]) ).
fof(f7136,plain,
( ~ spl25_245
| spl25_85
| ~ spl25_37
| spl25_774
| ~ spl25_154 ),
inference(avatar_split_clause,[],[f7132,f1662,f7134,f772,f1111,f2402]) ).
fof(f1111,plain,
( spl25_85
<=> slcrc0 = szNzAzT0 ),
introduced(avatar_definition,[new_symbols(naming,[spl25_85])]) ).
fof(f772,plain,
( spl25_37
<=> aElement0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_37])]) ).
fof(f7134,plain,
( spl25_774
<=> ! [X1] :
( ~ aSubsetOf0(sdtpldt0(X1,sz00),szNzAzT0)
| sz00 = szmzizndt0(sdtpldt0(X1,sz00))
| ~ aSet0(X1)
| ~ aElementOf0(szmzizndt0(sdtpldt0(X1,sz00)),szNzAzT0)
| slcrc0 = sdtpldt0(X1,sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_774])]) ).
fof(f1662,plain,
( spl25_154
<=> sz00 = szmzizndt0(szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_154])]) ).
fof(f7132,plain,
( ! [X1] :
( ~ aSubsetOf0(sdtpldt0(X1,sz00),szNzAzT0)
| ~ aElement0(sz00)
| slcrc0 = szNzAzT0
| slcrc0 = sdtpldt0(X1,sz00)
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| ~ aElementOf0(szmzizndt0(sdtpldt0(X1,sz00)),szNzAzT0)
| ~ aSet0(X1)
| sz00 = szmzizndt0(sdtpldt0(X1,sz00)) )
| ~ spl25_154 ),
inference(superposition,[],[f2436,f1664]) ).
fof(f1664,plain,
( sz00 = szmzizndt0(szNzAzT0)
| ~ spl25_154 ),
inference(avatar_component_clause,[],[f1662]) ).
fof(f7120,plain,
( ~ spl25_357
| spl25_773
| ~ spl25_19 ),
inference(avatar_split_clause,[],[f7109,f664,f7118,f3452]) ).
fof(f3452,plain,
( spl25_357
<=> aSet0(szDzozmdt0(xc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_357])]) ).
fof(f7118,plain,
( spl25_773
<=> ! [X2] :
( ~ aSet0(X2)
| sdtlcdtrc0(xc,szDzozmdt0(xc)) = X2
| sK20(xc,szDzozmdt0(xc),X2) = sdtlpdtrp0(xc,sK21(xc,szDzozmdt0(xc),X2))
| aElementOf0(sK20(xc,szDzozmdt0(xc),X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_773])]) ).
fof(f7109,plain,
( ! [X2] :
( ~ aSet0(X2)
| aElementOf0(sK20(xc,szDzozmdt0(xc),X2),X2)
| ~ aSet0(szDzozmdt0(xc))
| sK20(xc,szDzozmdt0(xc),X2) = sdtlpdtrp0(xc,sK21(xc,szDzozmdt0(xc),X2))
| sdtlcdtrc0(xc,szDzozmdt0(xc)) = X2 )
| ~ spl25_19 ),
inference(resolution,[],[f2469,f666]) ).
fof(f7107,plain,
( spl25_755
| spl25_772
| ~ spl25_109
| ~ spl25_711 ),
inference(avatar_split_clause,[],[f6988,f6649,f1364,f7104,f7020]) ).
fof(f7020,plain,
( spl25_755
<=> sz00 = sK22(xN,szNzAzT0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_755])]) ).
fof(f7104,plain,
( spl25_772
<=> szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK1(sK22(xN,szNzAzT0,sK2))),sK1(sK22(xN,szNzAzT0,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_772])]) ).
fof(f6649,plain,
( spl25_711
<=> aElementOf0(sK22(xN,szNzAzT0,sK2),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_711])]) ).
fof(f6988,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK1(sK22(xN,szNzAzT0,sK2))),sK1(sK22(xN,szNzAzT0,sK2)))
| sz00 = sK22(xN,szNzAzT0,sK2)
| ~ spl25_109
| ~ spl25_711 ),
inference(resolution,[],[f6651,f1365]) ).
fof(f6651,plain,
( aElementOf0(sK22(xN,szNzAzT0,sK2),szNzAzT0)
| ~ spl25_711 ),
inference(avatar_component_clause,[],[f6649]) ).
fof(f7102,plain,
( spl25_753
| ~ spl25_256
| ~ spl25_711 ),
inference(avatar_split_clause,[],[f6995,f6649,f2504,f7011]) ).
fof(f7011,plain,
( spl25_753
<=> aElement0(sK22(xN,szNzAzT0,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_753])]) ).
fof(f6995,plain,
( aElement0(sK22(xN,szNzAzT0,sK2))
| ~ spl25_256
| ~ spl25_711 ),
inference(resolution,[],[f6651,f2505]) ).
fof(f7101,plain,
( spl25_771
| ~ spl25_711 ),
inference(avatar_split_clause,[],[f6980,f6649,f7098]) ).
fof(f7098,plain,
( spl25_771
<=> sK22(xN,szNzAzT0,sK2) = sbrdtbr0(slbdtrb0(sK22(xN,szNzAzT0,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_771])]) ).
fof(f6980,plain,
( sK22(xN,szNzAzT0,sK2) = sbrdtbr0(slbdtrb0(sK22(xN,szNzAzT0,sK2)))
| ~ spl25_711 ),
inference(resolution,[],[f6651,f475]) ).
fof(f7096,plain,
( spl25_770
| ~ spl25_107
| ~ spl25_711 ),
inference(avatar_split_clause,[],[f6987,f6649,f1355,f7093]) ).
fof(f7093,plain,
( spl25_770
<=> xT = sdtpldt0(sdtmndt0(xT,sK14(sK22(xN,szNzAzT0,sK2))),sK14(sK22(xN,szNzAzT0,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_770])]) ).
fof(f6987,plain,
( xT = sdtpldt0(sdtmndt0(xT,sK14(sK22(xN,szNzAzT0,sK2))),sK14(sK22(xN,szNzAzT0,sK2)))
| ~ spl25_107
| ~ spl25_711 ),
inference(resolution,[],[f6651,f1356]) ).
fof(f7091,plain,
( spl25_769
| ~ spl25_110
| ~ spl25_711 ),
inference(avatar_split_clause,[],[f6989,f6649,f1368,f7088]) ).
fof(f7088,plain,
( spl25_769
<=> xT = sdtpldt0(sdtmndt0(xT,sK19(sK22(xN,szNzAzT0,sK2))),sK19(sK22(xN,szNzAzT0,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_769])]) ).
fof(f6989,plain,
( xT = sdtpldt0(sdtmndt0(xT,sK19(sK22(xN,szNzAzT0,sK2))),sK19(sK22(xN,szNzAzT0,sK2)))
| ~ spl25_110
| ~ spl25_711 ),
inference(resolution,[],[f6651,f1369]) ).
fof(f7086,plain,
( spl25_768
| ~ spl25_92
| ~ spl25_711 ),
inference(avatar_split_clause,[],[f6991,f6649,f1152,f7083]) ).
fof(f7083,plain,
( spl25_768
<=> szDzozmdt0(sdtlpdtrp0(xC,szszuzczcdt0(sK22(xN,szNzAzT0,sK2)))) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,szszuzczcdt0(sK22(xN,szNzAzT0,sK2))),sdtlpdtrp0(xe,szszuzczcdt0(sK22(xN,szNzAzT0,sK2)))),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_768])]) ).
fof(f6991,plain,
( szDzozmdt0(sdtlpdtrp0(xC,szszuzczcdt0(sK22(xN,szNzAzT0,sK2)))) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,szszuzczcdt0(sK22(xN,szNzAzT0,sK2))),sdtlpdtrp0(xe,szszuzczcdt0(sK22(xN,szNzAzT0,sK2)))),sz00)
| ~ spl25_92
| ~ spl25_711 ),
inference(resolution,[],[f6651,f1793]) ).
fof(f7081,plain,
( spl25_755
| spl25_767
| ~ spl25_92
| ~ spl25_711 ),
inference(avatar_split_clause,[],[f6992,f6649,f1152,f7078,f7020]) ).
fof(f7078,plain,
( spl25_767
<=> szDzozmdt0(sdtlpdtrp0(xC,sK1(sK22(xN,szNzAzT0,sK2)))) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK1(sK22(xN,szNzAzT0,sK2))),sdtlpdtrp0(xe,sK1(sK22(xN,szNzAzT0,sK2)))),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_767])]) ).
fof(f6992,plain,
( szDzozmdt0(sdtlpdtrp0(xC,sK1(sK22(xN,szNzAzT0,sK2)))) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK1(sK22(xN,szNzAzT0,sK2))),sdtlpdtrp0(xe,sK1(sK22(xN,szNzAzT0,sK2)))),sz00)
| sz00 = sK22(xN,szNzAzT0,sK2)
| ~ spl25_92
| ~ spl25_711 ),
inference(resolution,[],[f6651,f1805]) ).
fof(f7076,plain,
( spl25_766
| spl25_755
| ~ spl25_711 ),
inference(avatar_split_clause,[],[f6983,f6649,f7020,f7073]) ).
fof(f7073,plain,
( spl25_766
<=> szmzizndt0(sdtlpdtrp0(xN,sK1(sK22(xN,szNzAzT0,sK2)))) = sdtlpdtrp0(xe,sK1(sK22(xN,szNzAzT0,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_766])]) ).
fof(f6983,plain,
( sz00 = sK22(xN,szNzAzT0,sK2)
| szmzizndt0(sdtlpdtrp0(xN,sK1(sK22(xN,szNzAzT0,sK2)))) = sdtlpdtrp0(xe,sK1(sK22(xN,szNzAzT0,sK2)))
| ~ spl25_711 ),
inference(resolution,[],[f6651,f1076]) ).
fof(f7071,plain,
( spl25_765
| spl25_755
| ~ spl25_234
| ~ spl25_711 ),
inference(avatar_split_clause,[],[f6994,f6649,f2302,f7020,f7068]) ).
fof(f7068,plain,
( spl25_765
<=> aElementOf0(sK11(szNzAzT0,sK22(xN,szNzAzT0,sK2)),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_765])]) ).
fof(f6994,plain,
( sz00 = sK22(xN,szNzAzT0,sK2)
| aElementOf0(sK11(szNzAzT0,sK22(xN,szNzAzT0,sK2)),szNzAzT0)
| ~ spl25_234
| ~ spl25_711 ),
inference(resolution,[],[f6651,f2303]) ).
fof(f7066,plain,
( spl25_764
| ~ spl25_711 ),
inference(avatar_split_clause,[],[f6982,f6649,f7063]) ).
fof(f7063,plain,
( spl25_764
<=> sdtlpdtrp0(xe,szszuzczcdt0(sK22(xN,szNzAzT0,sK2))) = szmzizndt0(sdtlpdtrp0(xN,szszuzczcdt0(sK22(xN,szNzAzT0,sK2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_764])]) ).
fof(f6982,plain,
( sdtlpdtrp0(xe,szszuzczcdt0(sK22(xN,szNzAzT0,sK2))) = szmzizndt0(sdtlpdtrp0(xN,szszuzczcdt0(sK22(xN,szNzAzT0,sK2))))
| ~ spl25_711 ),
inference(resolution,[],[f6651,f922]) ).
fof(f7061,plain,
( spl25_762
| spl25_763
| ~ spl25_92
| ~ spl25_126
| ~ spl25_711 ),
inference(avatar_split_clause,[],[f6993,f6649,f1478,f1152,f7058,f7054]) ).
fof(f7054,plain,
( spl25_762
<=> sdtlseqdt0(xK,sK22(xN,szNzAzT0,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_762])]) ).
fof(f7058,plain,
( spl25_763
<=> sdtlseqdt0(sK22(xN,szNzAzT0,sK2),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_763])]) ).
fof(f6993,plain,
( sdtlseqdt0(sK22(xN,szNzAzT0,sK2),sz00)
| sdtlseqdt0(xK,sK22(xN,szNzAzT0,sK2))
| ~ spl25_92
| ~ spl25_126
| ~ spl25_711 ),
inference(resolution,[],[f6651,f1812]) ).
fof(f7052,plain,
( spl25_760
| spl25_761
| ~ spl25_711 ),
inference(avatar_split_clause,[],[f6984,f6649,f7049,f7045]) ).
fof(f7045,plain,
( spl25_760
<=> sz00 = szszuzczcdt0(sK22(xN,szNzAzT0,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_760])]) ).
fof(f7049,plain,
( spl25_761
<=> szszuzczcdt0(sK1(szszuzczcdt0(sK22(xN,szNzAzT0,sK2)))) = szszuzczcdt0(sK22(xN,szNzAzT0,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_761])]) ).
fof(f6984,plain,
( szszuzczcdt0(sK1(szszuzczcdt0(sK22(xN,szNzAzT0,sK2)))) = szszuzczcdt0(sK22(xN,szNzAzT0,sK2))
| sz00 = szszuzczcdt0(sK22(xN,szNzAzT0,sK2))
| ~ spl25_711 ),
inference(resolution,[],[f6651,f1143]) ).
fof(f7043,plain,
( spl25_758
| spl25_755
| spl25_759
| ~ spl25_711 ),
inference(avatar_split_clause,[],[f6985,f6649,f7040,f7020,f7036]) ).
fof(f7036,plain,
( spl25_758
<=> sz00 = sK1(sK22(xN,szNzAzT0,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_758])]) ).
fof(f7040,plain,
( spl25_759
<=> sK1(sK22(xN,szNzAzT0,sK2)) = szszuzczcdt0(sK1(sK1(sK22(xN,szNzAzT0,sK2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_759])]) ).
fof(f6985,plain,
( sK1(sK22(xN,szNzAzT0,sK2)) = szszuzczcdt0(sK1(sK1(sK22(xN,szNzAzT0,sK2))))
| sz00 = sK22(xN,szNzAzT0,sK2)
| sz00 = sK1(sK22(xN,szNzAzT0,sK2))
| ~ spl25_711 ),
inference(resolution,[],[f6651,f1146]) ).
fof(f7034,plain,
( spl25_757
| ~ spl25_14
| ~ spl25_711 ),
inference(avatar_split_clause,[],[f6997,f6649,f639,f7031]) ).
fof(f7031,plain,
( spl25_757
<=> szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK22(xN,szNzAzT0,sK2)),sK22(xN,szNzAzT0,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_757])]) ).
fof(f6997,plain,
( ~ aSet0(szNzAzT0)
| szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK22(xN,szNzAzT0,sK2)),sK22(xN,szNzAzT0,sK2))
| ~ spl25_711 ),
inference(resolution,[],[f6651,f410]) ).
fof(f7029,plain,
( spl25_756
| ~ spl25_92
| ~ spl25_711
| ~ spl25_712 ),
inference(avatar_split_clause,[],[f7024,f6655,f6649,f1152,f7026]) ).
fof(f7026,plain,
( spl25_756
<=> szDzozmdt0(sdtlpdtrp0(xC,sK22(xN,szNzAzT0,sK2))) = slbdtsldtrb0(sdtmndt0(sK2,sdtlpdtrp0(xe,sK22(xN,szNzAzT0,sK2))),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_756])]) ).
fof(f6655,plain,
( spl25_712
<=> sK2 = sdtlpdtrp0(xN,sK22(xN,szNzAzT0,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_712])]) ).
fof(f7024,plain,
( szDzozmdt0(sdtlpdtrp0(xC,sK22(xN,szNzAzT0,sK2))) = slbdtsldtrb0(sdtmndt0(sK2,sdtlpdtrp0(xe,sK22(xN,szNzAzT0,sK2))),sz00)
| ~ spl25_92
| ~ spl25_711
| ~ spl25_712 ),
inference(forward_demodulation,[],[f6990,f6657]) ).
fof(f6657,plain,
( sK2 = sdtlpdtrp0(xN,sK22(xN,szNzAzT0,sK2))
| ~ spl25_712 ),
inference(avatar_component_clause,[],[f6655]) ).
fof(f6990,plain,
( szDzozmdt0(sdtlpdtrp0(xC,sK22(xN,szNzAzT0,sK2))) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK22(xN,szNzAzT0,sK2)),sdtlpdtrp0(xe,sK22(xN,szNzAzT0,sK2))),sz00)
| ~ spl25_92
| ~ spl25_711 ),
inference(resolution,[],[f6651,f1784]) ).
fof(f7023,plain,
( spl25_754
| spl25_755
| ~ spl25_711 ),
inference(avatar_split_clause,[],[f6973,f6649,f7020,f7016]) ).
fof(f7016,plain,
( spl25_754
<=> sK22(xN,szNzAzT0,sK2) = szszuzczcdt0(sK1(sK22(xN,szNzAzT0,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_754])]) ).
fof(f6973,plain,
( sz00 = sK22(xN,szNzAzT0,sK2)
| sK22(xN,szNzAzT0,sK2) = szszuzczcdt0(sK1(sK22(xN,szNzAzT0,sK2)))
| ~ spl25_711 ),
inference(resolution,[],[f6651,f348]) ).
fof(f7014,plain,
( spl25_753
| ~ spl25_14
| ~ spl25_711 ),
inference(avatar_split_clause,[],[f6996,f6649,f639,f7011]) ).
fof(f6996,plain,
( ~ aSet0(szNzAzT0)
| aElement0(sK22(xN,szNzAzT0,sK2))
| ~ spl25_711 ),
inference(resolution,[],[f6651,f473]) ).
fof(f7009,plain,
( spl25_752
| ~ spl25_104
| ~ spl25_711 ),
inference(avatar_split_clause,[],[f6986,f6649,f1341,f7006]) ).
fof(f7006,plain,
( spl25_752
<=> szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,szszuzczcdt0(sK22(xN,szNzAzT0,sK2))),szszuzczcdt0(sK22(xN,szNzAzT0,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_752])]) ).
fof(f6986,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,szszuzczcdt0(sK22(xN,szNzAzT0,sK2))),szszuzczcdt0(sK22(xN,szNzAzT0,sK2)))
| ~ spl25_104
| ~ spl25_711 ),
inference(resolution,[],[f6651,f1342]) ).
fof(f7004,plain,
( spl25_751
| ~ spl25_711
| ~ spl25_712 ),
inference(avatar_split_clause,[],[f6999,f6655,f6649,f7001]) ).
fof(f7001,plain,
( spl25_751
<=> sdtlpdtrp0(xe,sK22(xN,szNzAzT0,sK2)) = szmzizndt0(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_751])]) ).
fof(f6999,plain,
( sdtlpdtrp0(xe,sK22(xN,szNzAzT0,sK2)) = szmzizndt0(sK2)
| ~ spl25_711
| ~ spl25_712 ),
inference(forward_demodulation,[],[f6974,f6657]) ).
fof(f6974,plain,
( szmzizndt0(sdtlpdtrp0(xN,sK22(xN,szNzAzT0,sK2))) = sdtlpdtrp0(xe,sK22(xN,szNzAzT0,sK2))
| ~ spl25_711 ),
inference(resolution,[],[f6651,f357]) ).
fof(f6972,plain,
( ~ spl25_2
| spl25_750
| ~ spl25_97 ),
inference(avatar_split_clause,[],[f6968,f1224,f6970,f580]) ).
fof(f6970,plain,
( spl25_750
<=> ! [X0] :
( ~ aElementOf0(sK11(X0,xK),szNzAzT0)
| szmzizndt0(X0) = xK
| ~ aElementOf0(xK,X0)
| slcrc0 = X0
| sdtlseqdt0(sK11(X0,xK),sz00)
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_750])]) ).
fof(f6968,plain,
( ! [X0] :
( ~ aElementOf0(sK11(X0,xK),szNzAzT0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sdtlseqdt0(sK11(X0,xK),sz00)
| slcrc0 = X0
| ~ aElementOf0(xK,X0)
| ~ aElementOf0(sz00,szNzAzT0)
| szmzizndt0(X0) = xK )
| ~ spl25_97 ),
inference(superposition,[],[f2284,f1226]) ).
fof(f6967,plain,
( spl25_748
| spl25_749
| ~ spl25_92
| ~ spl25_126
| ~ spl25_709 ),
inference(avatar_split_clause,[],[f6855,f6625,f1478,f1152,f6964,f6960]) ).
fof(f6960,plain,
( spl25_748
<=> sdtlseqdt0(xK,sK22(xd,szNzAzT0,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_748])]) ).
fof(f6964,plain,
( spl25_749
<=> sdtlseqdt0(sK22(xd,szNzAzT0,sK2),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_749])]) ).
fof(f6625,plain,
( spl25_709
<=> aElementOf0(sK22(xd,szNzAzT0,sK2),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_709])]) ).
fof(f6855,plain,
( sdtlseqdt0(sK22(xd,szNzAzT0,sK2),sz00)
| sdtlseqdt0(xK,sK22(xd,szNzAzT0,sK2))
| ~ spl25_92
| ~ spl25_126
| ~ spl25_709 ),
inference(resolution,[],[f6627,f1812]) ).
fof(f6627,plain,
( aElementOf0(sK22(xd,szNzAzT0,sK2),szNzAzT0)
| ~ spl25_709 ),
inference(avatar_component_clause,[],[f6625]) ).
fof(f6958,plain,
( spl25_747
| ~ spl25_104
| ~ spl25_709 ),
inference(avatar_split_clause,[],[f6848,f6625,f1341,f6955]) ).
fof(f6955,plain,
( spl25_747
<=> szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,szszuzczcdt0(sK22(xd,szNzAzT0,sK2))),szszuzczcdt0(sK22(xd,szNzAzT0,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_747])]) ).
fof(f6848,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,szszuzczcdt0(sK22(xd,szNzAzT0,sK2))),szszuzczcdt0(sK22(xd,szNzAzT0,sK2)))
| ~ spl25_104
| ~ spl25_709 ),
inference(resolution,[],[f6627,f1342]) ).
fof(f6953,plain,
( spl25_746
| spl25_730
| ~ spl25_92
| ~ spl25_709 ),
inference(avatar_split_clause,[],[f6854,f6625,f1152,f6871,f6950]) ).
fof(f6950,plain,
( spl25_746
<=> szDzozmdt0(sdtlpdtrp0(xC,sK1(sK22(xd,szNzAzT0,sK2)))) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK1(sK22(xd,szNzAzT0,sK2))),sdtlpdtrp0(xe,sK1(sK22(xd,szNzAzT0,sK2)))),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_746])]) ).
fof(f6871,plain,
( spl25_730
<=> sz00 = sK22(xd,szNzAzT0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_730])]) ).
fof(f6854,plain,
( sz00 = sK22(xd,szNzAzT0,sK2)
| szDzozmdt0(sdtlpdtrp0(xC,sK1(sK22(xd,szNzAzT0,sK2)))) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK1(sK22(xd,szNzAzT0,sK2))),sdtlpdtrp0(xe,sK1(sK22(xd,szNzAzT0,sK2)))),sz00)
| ~ spl25_92
| ~ spl25_709 ),
inference(resolution,[],[f6627,f1805]) ).
fof(f6948,plain,
( spl25_745
| ~ spl25_709 ),
inference(avatar_split_clause,[],[f6842,f6625,f6945]) ).
fof(f6945,plain,
( spl25_745
<=> sbrdtbr0(slbdtrb0(sK22(xd,szNzAzT0,sK2))) = sK22(xd,szNzAzT0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_745])]) ).
fof(f6842,plain,
( sbrdtbr0(slbdtrb0(sK22(xd,szNzAzT0,sK2))) = sK22(xd,szNzAzT0,sK2)
| ~ spl25_709 ),
inference(resolution,[],[f6627,f475]) ).
fof(f6943,plain,
( spl25_744
| spl25_730
| ~ spl25_234
| ~ spl25_709 ),
inference(avatar_split_clause,[],[f6856,f6625,f2302,f6871,f6940]) ).
fof(f6940,plain,
( spl25_744
<=> aElementOf0(sK11(szNzAzT0,sK22(xd,szNzAzT0,sK2)),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_744])]) ).
fof(f6856,plain,
( sz00 = sK22(xd,szNzAzT0,sK2)
| aElementOf0(sK11(szNzAzT0,sK22(xd,szNzAzT0,sK2)),szNzAzT0)
| ~ spl25_234
| ~ spl25_709 ),
inference(resolution,[],[f6627,f2303]) ).
fof(f6938,plain,
( spl25_730
| spl25_742
| spl25_743
| ~ spl25_709 ),
inference(avatar_split_clause,[],[f6847,f6625,f6935,f6931,f6871]) ).
fof(f6931,plain,
( spl25_742
<=> szszuzczcdt0(sK1(sK1(sK22(xd,szNzAzT0,sK2)))) = sK1(sK22(xd,szNzAzT0,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_742])]) ).
fof(f6935,plain,
( spl25_743
<=> sz00 = sK1(sK22(xd,szNzAzT0,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_743])]) ).
fof(f6847,plain,
( sz00 = sK1(sK22(xd,szNzAzT0,sK2))
| szszuzczcdt0(sK1(sK1(sK22(xd,szNzAzT0,sK2)))) = sK1(sK22(xd,szNzAzT0,sK2))
| sz00 = sK22(xd,szNzAzT0,sK2)
| ~ spl25_709 ),
inference(resolution,[],[f6627,f1146]) ).
fof(f6929,plain,
( spl25_741
| ~ spl25_92
| ~ spl25_709 ),
inference(avatar_split_clause,[],[f6852,f6625,f1152,f6926]) ).
fof(f6926,plain,
( spl25_741
<=> szDzozmdt0(sdtlpdtrp0(xC,sK22(xd,szNzAzT0,sK2))) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK22(xd,szNzAzT0,sK2)),sdtlpdtrp0(xe,sK22(xd,szNzAzT0,sK2))),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_741])]) ).
fof(f6852,plain,
( szDzozmdt0(sdtlpdtrp0(xC,sK22(xd,szNzAzT0,sK2))) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK22(xd,szNzAzT0,sK2)),sdtlpdtrp0(xe,sK22(xd,szNzAzT0,sK2))),sz00)
| ~ spl25_92
| ~ spl25_709 ),
inference(resolution,[],[f6627,f1784]) ).
fof(f6924,plain,
( spl25_740
| spl25_730
| ~ spl25_109
| ~ spl25_709 ),
inference(avatar_split_clause,[],[f6850,f6625,f1364,f6871,f6921]) ).
fof(f6921,plain,
( spl25_740
<=> szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK1(sK22(xd,szNzAzT0,sK2))),sK1(sK22(xd,szNzAzT0,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_740])]) ).
fof(f6850,plain,
( sz00 = sK22(xd,szNzAzT0,sK2)
| szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK1(sK22(xd,szNzAzT0,sK2))),sK1(sK22(xd,szNzAzT0,sK2)))
| ~ spl25_109
| ~ spl25_709 ),
inference(resolution,[],[f6627,f1365]) ).
fof(f6919,plain,
( ~ spl25_14
| spl25_739
| ~ spl25_709 ),
inference(avatar_split_clause,[],[f6859,f6625,f6916,f639]) ).
fof(f6916,plain,
( spl25_739
<=> szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK22(xd,szNzAzT0,sK2)),sK22(xd,szNzAzT0,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_739])]) ).
fof(f6859,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK22(xd,szNzAzT0,sK2)),sK22(xd,szNzAzT0,sK2))
| ~ aSet0(szNzAzT0)
| ~ spl25_709 ),
inference(resolution,[],[f6627,f410]) ).
fof(f6914,plain,
( spl25_738
| spl25_730
| ~ spl25_709 ),
inference(avatar_split_clause,[],[f6845,f6625,f6871,f6911]) ).
fof(f6911,plain,
( spl25_738
<=> szmzizndt0(sdtlpdtrp0(xN,sK1(sK22(xd,szNzAzT0,sK2)))) = sdtlpdtrp0(xe,sK1(sK22(xd,szNzAzT0,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_738])]) ).
fof(f6845,plain,
( sz00 = sK22(xd,szNzAzT0,sK2)
| szmzizndt0(sdtlpdtrp0(xN,sK1(sK22(xd,szNzAzT0,sK2)))) = sdtlpdtrp0(xe,sK1(sK22(xd,szNzAzT0,sK2)))
| ~ spl25_709 ),
inference(resolution,[],[f6627,f1076]) ).
fof(f6909,plain,
( spl25_737
| ~ spl25_92
| ~ spl25_709 ),
inference(avatar_split_clause,[],[f6853,f6625,f1152,f6906]) ).
fof(f6906,plain,
( spl25_737
<=> slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,szszuzczcdt0(sK22(xd,szNzAzT0,sK2))),sdtlpdtrp0(xe,szszuzczcdt0(sK22(xd,szNzAzT0,sK2)))),sz00) = szDzozmdt0(sdtlpdtrp0(xC,szszuzczcdt0(sK22(xd,szNzAzT0,sK2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_737])]) ).
fof(f6853,plain,
( slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,szszuzczcdt0(sK22(xd,szNzAzT0,sK2))),sdtlpdtrp0(xe,szszuzczcdt0(sK22(xd,szNzAzT0,sK2)))),sz00) = szDzozmdt0(sdtlpdtrp0(xC,szszuzczcdt0(sK22(xd,szNzAzT0,sK2))))
| ~ spl25_92
| ~ spl25_709 ),
inference(resolution,[],[f6627,f1793]) ).
fof(f6904,plain,
( spl25_736
| ~ spl25_709 ),
inference(avatar_split_clause,[],[f6844,f6625,f6901]) ).
fof(f6901,plain,
( spl25_736
<=> sdtlpdtrp0(xe,szszuzczcdt0(sK22(xd,szNzAzT0,sK2))) = szmzizndt0(sdtlpdtrp0(xN,szszuzczcdt0(sK22(xd,szNzAzT0,sK2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_736])]) ).
fof(f6844,plain,
( sdtlpdtrp0(xe,szszuzczcdt0(sK22(xd,szNzAzT0,sK2))) = szmzizndt0(sdtlpdtrp0(xN,szszuzczcdt0(sK22(xd,szNzAzT0,sK2))))
| ~ spl25_709 ),
inference(resolution,[],[f6627,f922]) ).
fof(f6899,plain,
( spl25_734
| spl25_735
| ~ spl25_709 ),
inference(avatar_split_clause,[],[f6846,f6625,f6896,f6892]) ).
fof(f6892,plain,
( spl25_734
<=> sz00 = szszuzczcdt0(sK22(xd,szNzAzT0,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_734])]) ).
fof(f6896,plain,
( spl25_735
<=> szszuzczcdt0(sK22(xd,szNzAzT0,sK2)) = szszuzczcdt0(sK1(szszuzczcdt0(sK22(xd,szNzAzT0,sK2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_735])]) ).
fof(f6846,plain,
( szszuzczcdt0(sK22(xd,szNzAzT0,sK2)) = szszuzczcdt0(sK1(szszuzczcdt0(sK22(xd,szNzAzT0,sK2))))
| sz00 = szszuzczcdt0(sK22(xd,szNzAzT0,sK2))
| ~ spl25_709 ),
inference(resolution,[],[f6627,f1143]) ).
fof(f6890,plain,
( spl25_733
| ~ spl25_110
| ~ spl25_709 ),
inference(avatar_split_clause,[],[f6851,f6625,f1368,f6887]) ).
fof(f6887,plain,
( spl25_733
<=> xT = sdtpldt0(sdtmndt0(xT,sK19(sK22(xd,szNzAzT0,sK2))),sK19(sK22(xd,szNzAzT0,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_733])]) ).
fof(f6851,plain,
( xT = sdtpldt0(sdtmndt0(xT,sK19(sK22(xd,szNzAzT0,sK2))),sK19(sK22(xd,szNzAzT0,sK2)))
| ~ spl25_110
| ~ spl25_709 ),
inference(resolution,[],[f6627,f1369]) ).
fof(f6885,plain,
( spl25_728
| ~ spl25_14
| ~ spl25_709 ),
inference(avatar_split_clause,[],[f6858,f6625,f639,f6862]) ).
fof(f6862,plain,
( spl25_728
<=> aElement0(sK22(xd,szNzAzT0,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_728])]) ).
fof(f6858,plain,
( ~ aSet0(szNzAzT0)
| aElement0(sK22(xd,szNzAzT0,sK2))
| ~ spl25_709 ),
inference(resolution,[],[f6627,f473]) ).
fof(f6884,plain,
( spl25_732
| ~ spl25_107
| ~ spl25_709 ),
inference(avatar_split_clause,[],[f6849,f6625,f1355,f6881]) ).
fof(f6881,plain,
( spl25_732
<=> xT = sdtpldt0(sdtmndt0(xT,sK14(sK22(xd,szNzAzT0,sK2))),sK14(sK22(xd,szNzAzT0,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_732])]) ).
fof(f6849,plain,
( xT = sdtpldt0(sdtmndt0(xT,sK14(sK22(xd,szNzAzT0,sK2))),sK14(sK22(xd,szNzAzT0,sK2)))
| ~ spl25_107
| ~ spl25_709 ),
inference(resolution,[],[f6627,f1356]) ).
fof(f6879,plain,
( spl25_731
| ~ spl25_709 ),
inference(avatar_split_clause,[],[f6836,f6625,f6876]) ).
fof(f6876,plain,
( spl25_731
<=> szmzizndt0(sdtlpdtrp0(xN,sK22(xd,szNzAzT0,sK2))) = sdtlpdtrp0(xe,sK22(xd,szNzAzT0,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_731])]) ).
fof(f6836,plain,
( szmzizndt0(sdtlpdtrp0(xN,sK22(xd,szNzAzT0,sK2))) = sdtlpdtrp0(xe,sK22(xd,szNzAzT0,sK2))
| ~ spl25_709 ),
inference(resolution,[],[f6627,f357]) ).
fof(f6874,plain,
( spl25_729
| spl25_730
| ~ spl25_709 ),
inference(avatar_split_clause,[],[f6835,f6625,f6871,f6867]) ).
fof(f6867,plain,
( spl25_729
<=> sK22(xd,szNzAzT0,sK2) = szszuzczcdt0(sK1(sK22(xd,szNzAzT0,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_729])]) ).
fof(f6835,plain,
( sz00 = sK22(xd,szNzAzT0,sK2)
| sK22(xd,szNzAzT0,sK2) = szszuzczcdt0(sK1(sK22(xd,szNzAzT0,sK2)))
| ~ spl25_709 ),
inference(resolution,[],[f6627,f348]) ).
fof(f6865,plain,
( spl25_728
| ~ spl25_256
| ~ spl25_709 ),
inference(avatar_split_clause,[],[f6857,f6625,f2504,f6862]) ).
fof(f6857,plain,
( aElement0(sK22(xd,szNzAzT0,sK2))
| ~ spl25_256
| ~ spl25_709 ),
inference(resolution,[],[f6627,f2505]) ).
fof(f6826,plain,
( ~ spl25_357
| spl25_727
| ~ spl25_19 ),
inference(avatar_split_clause,[],[f6811,f664,f6824,f3452]) ).
fof(f6824,plain,
( spl25_727
<=> ! [X2] :
( ~ aSet0(X2)
| aElementOf0(sK20(xc,szDzozmdt0(xc),X2),X2)
| aElementOf0(sK21(xc,szDzozmdt0(xc),X2),szDzozmdt0(xc))
| sdtlcdtrc0(xc,szDzozmdt0(xc)) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_727])]) ).
fof(f6811,plain,
( ! [X2] :
( ~ aSet0(X2)
| sdtlcdtrc0(xc,szDzozmdt0(xc)) = X2
| aElementOf0(sK21(xc,szDzozmdt0(xc),X2),szDzozmdt0(xc))
| aElementOf0(sK20(xc,szDzozmdt0(xc),X2),X2)
| ~ aSet0(szDzozmdt0(xc)) )
| ~ spl25_19 ),
inference(resolution,[],[f2444,f666]) ).
fof(f6809,plain,
( spl25_130
| spl25_726
| ~ spl25_129
| ~ spl25_40 ),
inference(avatar_split_clause,[],[f6804,f797,f1491,f6807,f1495]) ).
fof(f6807,plain,
( spl25_726
<=> ! [X0] :
( szmzizndt0(X0) = sdtlpdtrp0(xe,xK)
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ aElementOf0(sdtlpdtrp0(xe,xK),X0)
| ~ aElementOf0(sK11(X0,sdtlpdtrp0(xe,xK)),sdtlpdtrp0(xN,xK))
| slcrc0 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_726])]) ).
fof(f6804,plain,
( ! [X0] :
( ~ aSubsetOf0(sdtlpdtrp0(xN,xK),szNzAzT0)
| szmzizndt0(X0) = sdtlpdtrp0(xe,xK)
| slcrc0 = X0
| ~ aElementOf0(sK11(X0,sdtlpdtrp0(xe,xK)),sdtlpdtrp0(xN,xK))
| ~ aElementOf0(sdtlpdtrp0(xe,xK),X0)
| slcrc0 = sdtlpdtrp0(xN,xK)
| ~ aSubsetOf0(X0,szNzAzT0) )
| ~ spl25_40 ),
inference(superposition,[],[f2285,f799]) ).
fof(f2285,plain,
! [X3,X4] :
( ~ aElementOf0(sK11(X3,szmzizndt0(X4)),X4)
| ~ aElementOf0(szmzizndt0(X4),X3)
| slcrc0 = X4
| ~ aSubsetOf0(X4,szNzAzT0)
| slcrc0 = X3
| szmzizndt0(X3) = szmzizndt0(X4)
| ~ aSubsetOf0(X3,szNzAzT0) ),
inference(resolution,[],[f439,f546]) ).
fof(f546,plain,
! [X2,X0] :
( sdtlseqdt0(szmzizndt0(X0),X2)
| ~ aElementOf0(X2,X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f442]) ).
fof(f442,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X2,X0)
| sdtlseqdt0(X1,X2)
| szmzizndt0(X0) != X1
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(cnf_transformation,[],[f287]) ).
fof(f6803,plain,
( spl25_725
| ~ spl25_245
| ~ spl25_254 ),
inference(avatar_split_clause,[],[f6795,f2487,f2402,f6800]) ).
fof(f6800,plain,
( spl25_725
<=> ! [X0] :
( aElementOf0(sK20(xC,szNzAzT0,X0),X0)
| ~ aSet0(X0)
| sdtlcdtrc0(xC,szNzAzT0) = X0
| sK20(xC,szNzAzT0,X0) = sdtlpdtrp0(xC,sK21(xC,szNzAzT0,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_725])]) ).
fof(f2487,plain,
( spl25_254
<=> ! [X2,X3] :
( sdtlpdtrp0(xC,sK21(xC,X2,X3)) = sK20(xC,X2,X3)
| sdtlcdtrc0(xC,X2) = X3
| aElementOf0(sK20(xC,X2,X3),X3)
| ~ aSubsetOf0(X2,szNzAzT0)
| ~ aSet0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_254])]) ).
fof(f6795,plain,
( ! [X2] :
( sdtlpdtrp0(xC,sK21(xC,szNzAzT0,X2)) = sK20(xC,szNzAzT0,X2)
| aElementOf0(sK20(xC,szNzAzT0,X2),X2)
| ~ aSet0(X2)
| sdtlcdtrc0(xC,szNzAzT0) = X2 )
| ~ spl25_245
| ~ spl25_254 ),
inference(resolution,[],[f2488,f2403]) ).
fof(f2403,plain,
( aSubsetOf0(szNzAzT0,szNzAzT0)
| ~ spl25_245 ),
inference(avatar_component_clause,[],[f2402]) ).
fof(f2488,plain,
( ! [X2,X3] :
( ~ aSubsetOf0(X2,szNzAzT0)
| sdtlcdtrc0(xC,X2) = X3
| sdtlpdtrp0(xC,sK21(xC,X2,X3)) = sK20(xC,X2,X3)
| aElementOf0(sK20(xC,X2,X3),X3)
| ~ aSet0(X3) )
| ~ spl25_254 ),
inference(avatar_component_clause,[],[f2487]) ).
fof(f6802,plain,
( ~ spl25_14
| spl25_725
| ~ spl25_254 ),
inference(avatar_split_clause,[],[f6793,f2487,f6800,f639]) ).
fof(f6793,plain,
( ! [X0] :
( aElementOf0(sK20(xC,szNzAzT0,X0),X0)
| sK20(xC,szNzAzT0,X0) = sdtlpdtrp0(xC,sK21(xC,szNzAzT0,X0))
| sdtlcdtrc0(xC,szNzAzT0) = X0
| ~ aSet0(szNzAzT0)
| ~ aSet0(X0) )
| ~ spl25_254 ),
inference(resolution,[],[f2488,f484]) ).
fof(f6780,plain,
( spl25_661
| ~ spl25_121
| ~ spl25_7
| ~ spl25_641 ),
inference(avatar_split_clause,[],[f6770,f6216,f605,f1452,f6306]) ).
fof(f6306,plain,
( spl25_661
<=> aElementOf0(sK2,slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_661])]) ).
fof(f605,plain,
( spl25_7
<=> aSet0(slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_7])]) ).
fof(f6216,plain,
( spl25_641
<=> aElementOf0(sK2,sdtmndt0(slcrc0,szDzizrdt0(xd))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_641])]) ).
fof(f6770,plain,
( ~ aSet0(slcrc0)
| ~ aElement0(szDzizrdt0(xd))
| aElementOf0(sK2,slcrc0)
| ~ spl25_641 ),
inference(resolution,[],[f6218,f552]) ).
fof(f6218,plain,
( aElementOf0(sK2,sdtmndt0(slcrc0,szDzizrdt0(xd)))
| ~ spl25_641 ),
inference(avatar_component_clause,[],[f6216]) ).
fof(f6779,plain,
( ~ spl25_328
| spl25_724
| ~ spl25_641 ),
inference(avatar_split_clause,[],[f6773,f6216,f6776,f3105]) ).
fof(f3105,plain,
( spl25_328
<=> aSet0(sdtmndt0(slcrc0,szDzizrdt0(xd))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_328])]) ).
fof(f6776,plain,
( spl25_724
<=> sdtmndt0(slcrc0,szDzizrdt0(xd)) = sdtpldt0(sdtmndt0(sdtmndt0(slcrc0,szDzizrdt0(xd)),sK2),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_724])]) ).
fof(f6773,plain,
( sdtmndt0(slcrc0,szDzizrdt0(xd)) = sdtpldt0(sdtmndt0(sdtmndt0(slcrc0,szDzizrdt0(xd)),sK2),sK2)
| ~ aSet0(sdtmndt0(slcrc0,szDzizrdt0(xd)))
| ~ spl25_641 ),
inference(resolution,[],[f6218,f410]) ).
fof(f6769,plain,
( spl25_723
| ~ spl25_245
| ~ spl25_251 ),
inference(avatar_split_clause,[],[f6761,f2475,f2402,f6766]) ).
fof(f6766,plain,
( spl25_723
<=> ! [X0] :
( aElementOf0(sK20(xe,szNzAzT0,X0),X0)
| ~ aSet0(X0)
| sK20(xe,szNzAzT0,X0) = sdtlpdtrp0(xe,sK21(xe,szNzAzT0,X0))
| sdtlcdtrc0(xe,szNzAzT0) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_723])]) ).
fof(f2475,plain,
( spl25_251
<=> ! [X4,X5] :
( ~ aSet0(X5)
| ~ aSubsetOf0(X4,szNzAzT0)
| sdtlpdtrp0(xe,sK21(xe,X4,X5)) = sK20(xe,X4,X5)
| aElementOf0(sK20(xe,X4,X5),X5)
| sdtlcdtrc0(xe,X4) = X5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_251])]) ).
fof(f6761,plain,
( ! [X2] :
( sdtlcdtrc0(xe,szNzAzT0) = X2
| aElementOf0(sK20(xe,szNzAzT0,X2),X2)
| sdtlpdtrp0(xe,sK21(xe,szNzAzT0,X2)) = sK20(xe,szNzAzT0,X2)
| ~ aSet0(X2) )
| ~ spl25_245
| ~ spl25_251 ),
inference(resolution,[],[f2476,f2403]) ).
fof(f2476,plain,
( ! [X4,X5] :
( ~ aSubsetOf0(X4,szNzAzT0)
| ~ aSet0(X5)
| aElementOf0(sK20(xe,X4,X5),X5)
| sdtlpdtrp0(xe,sK21(xe,X4,X5)) = sK20(xe,X4,X5)
| sdtlcdtrc0(xe,X4) = X5 )
| ~ spl25_251 ),
inference(avatar_component_clause,[],[f2475]) ).
fof(f6768,plain,
( spl25_723
| ~ spl25_14
| ~ spl25_251 ),
inference(avatar_split_clause,[],[f6759,f2475,f639,f6766]) ).
fof(f6759,plain,
( ! [X0] :
( ~ aSet0(szNzAzT0)
| aElementOf0(sK20(xe,szNzAzT0,X0),X0)
| sdtlcdtrc0(xe,szNzAzT0) = X0
| sK20(xe,szNzAzT0,X0) = sdtlpdtrp0(xe,sK21(xe,szNzAzT0,X0))
| ~ aSet0(X0) )
| ~ spl25_251 ),
inference(resolution,[],[f2476,f484]) ).
fof(f6745,plain,
( spl25_1
| ~ spl25_29
| spl25_358
| ~ spl25_74
| spl25_722
| ~ spl25_9 ),
inference(avatar_split_clause,[],[f6730,f614,f6743,f1033,f3462,f718,f575]) ).
fof(f575,plain,
( spl25_1
<=> sz00 = xK ),
introduced(avatar_definition,[new_symbols(naming,[spl25_1])]) ).
fof(f3462,plain,
( spl25_358
<=> slcrc0 = szDzozmdt0(xc) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_358])]) ).
fof(f6743,plain,
( spl25_722
<=> ! [X0] :
( aSubsetOf0(xS,X0)
| ~ aSet0(X0)
| ~ aSubsetOf0(szDzozmdt0(xc),slbdtsldtrb0(X0,xK)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_722])]) ).
fof(f6730,plain,
( ! [X0] :
( aSubsetOf0(xS,X0)
| ~ aSet0(xS)
| slcrc0 = szDzozmdt0(xc)
| ~ aElementOf0(xK,szNzAzT0)
| ~ aSubsetOf0(szDzozmdt0(xc),slbdtsldtrb0(X0,xK))
| ~ aSet0(X0)
| sz00 = xK )
| ~ spl25_9 ),
inference(superposition,[],[f377,f616]) ).
fof(f377,plain,
! [X2,X0,X1] :
( ~ aSubsetOf0(slbdtsldtrb0(X1,X0),slbdtsldtrb0(X2,X0))
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(X0,szNzAzT0)
| slcrc0 = slbdtsldtrb0(X1,X0)
| aSubsetOf0(X1,X2)
| sz00 = X0 ),
inference(cnf_transformation,[],[f229]) ).
fof(f229,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ! [X1,X2] :
( slcrc0 = slbdtsldtrb0(X1,X0)
| aSubsetOf0(X1,X2)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSubsetOf0(slbdtsldtrb0(X1,X0),slbdtsldtrb0(X2,X0))
| sz00 = X0 ) ),
inference(flattening,[],[f228]) ).
fof(f228,plain,
! [X0] :
( ! [X1,X2] :
( aSubsetOf0(X1,X2)
| slcrc0 = slbdtsldtrb0(X1,X0)
| ~ aSubsetOf0(slbdtsldtrb0(X1,X0),slbdtsldtrb0(X2,X0))
| ~ aSet0(X1)
| sz00 = X0
| ~ aSet0(X2) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1,X2] :
( ( aSet0(X1)
& sz00 != X0
& aSet0(X2) )
=> ( ( slcrc0 != slbdtsldtrb0(X1,X0)
& aSubsetOf0(slbdtsldtrb0(X1,X0),slbdtsldtrb0(X2,X0)) )
=> aSubsetOf0(X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSelSub) ).
fof(f6741,plain,
( spl25_1
| ~ spl25_29
| ~ spl25_74
| spl25_721
| ~ spl25_9 ),
inference(avatar_split_clause,[],[f6733,f614,f6739,f1033,f718,f575]) ).
fof(f6739,plain,
( spl25_721
<=> ! [X0] :
( aSubsetOf0(X0,xS)
| ~ aSubsetOf0(slbdtsldtrb0(X0,xK),szDzozmdt0(xc))
| ~ aSet0(X0)
| slcrc0 = slbdtsldtrb0(X0,xK) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_721])]) ).
fof(f6733,plain,
( ! [X0] :
( aSubsetOf0(X0,xS)
| slcrc0 = slbdtsldtrb0(X0,xK)
| ~ aSet0(xS)
| ~ aSet0(X0)
| ~ aElementOf0(xK,szNzAzT0)
| sz00 = xK
| ~ aSubsetOf0(slbdtsldtrb0(X0,xK),szDzozmdt0(xc)) )
| ~ spl25_9 ),
inference(superposition,[],[f377,f616]) ).
fof(f6718,plain,
( ~ spl25_379
| spl25_720
| ~ spl25_677 ),
inference(avatar_split_clause,[],[f6700,f6378,f6715,f3625]) ).
fof(f3625,plain,
( spl25_379
<=> aSet0(sdtlcdtrc0(xC,szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_379])]) ).
fof(f6715,plain,
( spl25_720
<=> sdtlcdtrc0(xC,szNzAzT0) = sdtpldt0(sdtmndt0(sdtlcdtrc0(xC,szNzAzT0),sK2),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_720])]) ).
fof(f6378,plain,
( spl25_677
<=> aElementOf0(sK2,sdtlcdtrc0(xC,szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_677])]) ).
fof(f6700,plain,
( sdtlcdtrc0(xC,szNzAzT0) = sdtpldt0(sdtmndt0(sdtlcdtrc0(xC,szNzAzT0),sK2),sK2)
| ~ aSet0(sdtlcdtrc0(xC,szNzAzT0))
| ~ spl25_677 ),
inference(resolution,[],[f6380,f410]) ).
fof(f6380,plain,
( aElementOf0(sK2,sdtlcdtrc0(xC,szNzAzT0))
| ~ spl25_677 ),
inference(avatar_component_clause,[],[f6378]) ).
fof(f6713,plain,
( spl25_719
| ~ spl25_245
| ~ spl25_31
| ~ spl25_17
| ~ spl25_677 ),
inference(avatar_split_clause,[],[f6708,f6378,f654,f729,f2402,f6710]) ).
fof(f6708,plain,
( ~ aFunction0(xC)
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| aElementOf0(sK22(xC,szNzAzT0,sK2),szNzAzT0)
| ~ spl25_17
| ~ spl25_677 ),
inference(forward_demodulation,[],[f6698,f656]) ).
fof(f6698,plain,
( ~ aSubsetOf0(szNzAzT0,szDzozmdt0(xC))
| ~ aFunction0(xC)
| aElementOf0(sK22(xC,szNzAzT0,sK2),szNzAzT0)
| ~ spl25_677 ),
inference(resolution,[],[f6380,f571]) ).
fof(f6707,plain,
( ~ spl25_31
| spl25_718
| ~ spl25_245
| ~ spl25_17
| ~ spl25_677 ),
inference(avatar_split_clause,[],[f6702,f6378,f654,f2402,f6704,f729]) ).
fof(f6702,plain,
( ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| sK2 = sdtlpdtrp0(xC,sK22(xC,szNzAzT0,sK2))
| ~ aFunction0(xC)
| ~ spl25_17
| ~ spl25_677 ),
inference(forward_demodulation,[],[f6697,f656]) ).
fof(f6697,plain,
( sK2 = sdtlpdtrp0(xC,sK22(xC,szNzAzT0,sK2))
| ~ aFunction0(xC)
| ~ aSubsetOf0(szNzAzT0,szDzozmdt0(xC))
| ~ spl25_677 ),
inference(resolution,[],[f6380,f570]) ).
fof(f6696,plain,
( ~ spl25_255
| spl25_717
| ~ spl25_672 ),
inference(avatar_split_clause,[],[f6689,f6356,f6693,f2500]) ).
fof(f2500,plain,
( spl25_255
<=> aSet0(sdtmndt0(szNzAzT0,xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_255])]) ).
fof(f6693,plain,
( spl25_717
<=> sdtpldt0(sdtmndt0(sdtmndt0(szNzAzT0,xK),sK2),sK2) = sdtmndt0(szNzAzT0,xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_717])]) ).
fof(f6356,plain,
( spl25_672
<=> aElementOf0(sK2,sdtmndt0(szNzAzT0,xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_672])]) ).
fof(f6689,plain,
( sdtpldt0(sdtmndt0(sdtmndt0(szNzAzT0,xK),sK2),sK2) = sdtmndt0(szNzAzT0,xK)
| ~ aSet0(sdtmndt0(szNzAzT0,xK))
| ~ spl25_672 ),
inference(resolution,[],[f6358,f410]) ).
fof(f6358,plain,
( aElementOf0(sK2,sdtmndt0(szNzAzT0,xK))
| ~ spl25_672 ),
inference(avatar_component_clause,[],[f6356]) ).
fof(f6691,plain,
( spl25_655
| ~ spl25_257
| ~ spl25_14
| ~ spl25_672 ),
inference(avatar_split_clause,[],[f6686,f6356,f639,f2507,f6279]) ).
fof(f6279,plain,
( spl25_655
<=> aElementOf0(sK2,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_655])]) ).
fof(f2507,plain,
( spl25_257
<=> aElement0(xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_257])]) ).
fof(f6686,plain,
( ~ aSet0(szNzAzT0)
| ~ aElement0(xK)
| aElementOf0(sK2,szNzAzT0)
| ~ spl25_672 ),
inference(resolution,[],[f6358,f552]) ).
fof(f6685,plain,
( ~ spl25_386
| spl25_716
| ~ spl25_669 ),
inference(avatar_split_clause,[],[f6667,f6342,f6682,f3679]) ).
fof(f6682,plain,
( spl25_716
<=> sdtpldt0(sdtmndt0(sdtlcdtrc0(xe,szNzAzT0),sK2),sK2) = sdtlcdtrc0(xe,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_716])]) ).
fof(f6667,plain,
( sdtpldt0(sdtmndt0(sdtlcdtrc0(xe,szNzAzT0),sK2),sK2) = sdtlcdtrc0(xe,szNzAzT0)
| ~ aSet0(sdtlcdtrc0(xe,szNzAzT0))
| ~ spl25_669 ),
inference(resolution,[],[f6344,f410]) ).
fof(f6344,plain,
( aElementOf0(sK2,sdtlcdtrc0(xe,szNzAzT0))
| ~ spl25_669 ),
inference(avatar_component_clause,[],[f6342]) ).
fof(f6680,plain,
( spl25_715
| ~ spl25_33
| ~ spl25_245
| ~ spl25_13
| ~ spl25_669 ),
inference(avatar_split_clause,[],[f6675,f6342,f634,f2402,f741,f6677]) ).
fof(f6675,plain,
( ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| ~ aFunction0(xe)
| aElementOf0(sK22(xe,szNzAzT0,sK2),szNzAzT0)
| ~ spl25_13
| ~ spl25_669 ),
inference(forward_demodulation,[],[f6665,f636]) ).
fof(f6665,plain,
( ~ aFunction0(xe)
| ~ aSubsetOf0(szNzAzT0,szDzozmdt0(xe))
| aElementOf0(sK22(xe,szNzAzT0,sK2),szNzAzT0)
| ~ spl25_669 ),
inference(resolution,[],[f6344,f571]) ).
fof(f6674,plain,
( ~ spl25_245
| ~ spl25_33
| spl25_714
| ~ spl25_13
| ~ spl25_669 ),
inference(avatar_split_clause,[],[f6669,f6342,f634,f6671,f741,f2402]) ).
fof(f6669,plain,
( sK2 = sdtlpdtrp0(xe,sK22(xe,szNzAzT0,sK2))
| ~ aFunction0(xe)
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| ~ spl25_13
| ~ spl25_669 ),
inference(forward_demodulation,[],[f6664,f636]) ).
fof(f6664,plain,
( ~ aFunction0(xe)
| ~ aSubsetOf0(szNzAzT0,szDzozmdt0(xe))
| sK2 = sdtlpdtrp0(xe,sK22(xe,szNzAzT0,sK2))
| ~ spl25_669 ),
inference(resolution,[],[f6344,f570]) ).
fof(f6663,plain,
( spl25_713
| ~ spl25_369
| ~ spl25_662 ),
inference(avatar_split_clause,[],[f6645,f6311,f3567,f6660]) ).
fof(f6660,plain,
( spl25_713
<=> sdtlcdtrc0(xN,szNzAzT0) = sdtpldt0(sdtmndt0(sdtlcdtrc0(xN,szNzAzT0),sK2),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_713])]) ).
fof(f3567,plain,
( spl25_369
<=> aSet0(sdtlcdtrc0(xN,szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_369])]) ).
fof(f6311,plain,
( spl25_662
<=> aElementOf0(sK2,sdtlcdtrc0(xN,szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_662])]) ).
fof(f6645,plain,
( ~ aSet0(sdtlcdtrc0(xN,szNzAzT0))
| sdtlcdtrc0(xN,szNzAzT0) = sdtpldt0(sdtmndt0(sdtlcdtrc0(xN,szNzAzT0),sK2),sK2)
| ~ spl25_662 ),
inference(resolution,[],[f6313,f410]) ).
fof(f6313,plain,
( aElementOf0(sK2,sdtlcdtrc0(xN,szNzAzT0))
| ~ spl25_662 ),
inference(avatar_component_clause,[],[f6311]) ).
fof(f6658,plain,
( ~ spl25_24
| spl25_712
| ~ spl25_245
| ~ spl25_3
| ~ spl25_662 ),
inference(avatar_split_clause,[],[f6653,f6311,f585,f2402,f6655,f693]) ).
fof(f6653,plain,
( ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| sK2 = sdtlpdtrp0(xN,sK22(xN,szNzAzT0,sK2))
| ~ aFunction0(xN)
| ~ spl25_3
| ~ spl25_662 ),
inference(forward_demodulation,[],[f6642,f587]) ).
fof(f6642,plain,
( ~ aFunction0(xN)
| sK2 = sdtlpdtrp0(xN,sK22(xN,szNzAzT0,sK2))
| ~ aSubsetOf0(szNzAzT0,szDzozmdt0(xN))
| ~ spl25_662 ),
inference(resolution,[],[f6313,f570]) ).
fof(f6652,plain,
( spl25_711
| ~ spl25_245
| ~ spl25_24
| ~ spl25_3
| ~ spl25_662 ),
inference(avatar_split_clause,[],[f6647,f6311,f585,f693,f2402,f6649]) ).
fof(f6647,plain,
( ~ aFunction0(xN)
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| aElementOf0(sK22(xN,szNzAzT0,sK2),szNzAzT0)
| ~ spl25_3
| ~ spl25_662 ),
inference(forward_demodulation,[],[f6643,f587]) ).
fof(f6643,plain,
( ~ aFunction0(xN)
| ~ aSubsetOf0(szNzAzT0,szDzozmdt0(xN))
| aElementOf0(sK22(xN,szNzAzT0,sK2),szNzAzT0)
| ~ spl25_662 ),
inference(resolution,[],[f6313,f571]) ).
fof(f6633,plain,
( spl25_710
| ~ spl25_71
| ~ spl25_647 ),
inference(avatar_split_clause,[],[f6615,f6243,f1010,f6630]) ).
fof(f6630,plain,
( spl25_710
<=> sdtlcdtrc0(xd,szNzAzT0) = sdtpldt0(sdtmndt0(sdtlcdtrc0(xd,szNzAzT0),sK2),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_710])]) ).
fof(f6243,plain,
( spl25_647
<=> aElementOf0(sK2,sdtlcdtrc0(xd,szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_647])]) ).
fof(f6615,plain,
( ~ aSet0(sdtlcdtrc0(xd,szNzAzT0))
| sdtlcdtrc0(xd,szNzAzT0) = sdtpldt0(sdtmndt0(sdtlcdtrc0(xd,szNzAzT0),sK2),sK2)
| ~ spl25_647 ),
inference(resolution,[],[f6245,f410]) ).
fof(f6245,plain,
( aElementOf0(sK2,sdtlcdtrc0(xd,szNzAzT0))
| ~ spl25_647 ),
inference(avatar_component_clause,[],[f6243]) ).
fof(f6628,plain,
( ~ spl25_28
| ~ spl25_245
| spl25_709
| ~ spl25_15
| ~ spl25_647 ),
inference(avatar_split_clause,[],[f6623,f6243,f644,f6625,f2402,f713]) ).
fof(f6623,plain,
( aElementOf0(sK22(xd,szNzAzT0,sK2),szNzAzT0)
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| ~ aFunction0(xd)
| ~ spl25_15
| ~ spl25_647 ),
inference(forward_demodulation,[],[f6613,f646]) ).
fof(f6613,plain,
( ~ aFunction0(xd)
| ~ aSubsetOf0(szNzAzT0,szDzozmdt0(xd))
| aElementOf0(sK22(xd,szNzAzT0,sK2),szNzAzT0)
| ~ spl25_647 ),
inference(resolution,[],[f6245,f571]) ).
fof(f6622,plain,
( spl25_708
| ~ spl25_28
| ~ spl25_245
| ~ spl25_15
| ~ spl25_647 ),
inference(avatar_split_clause,[],[f6617,f6243,f644,f2402,f713,f6619]) ).
fof(f6619,plain,
( spl25_708
<=> sK2 = sdtlpdtrp0(xd,sK22(xd,szNzAzT0,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_708])]) ).
fof(f6617,plain,
( ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| ~ aFunction0(xd)
| sK2 = sdtlpdtrp0(xd,sK22(xd,szNzAzT0,sK2))
| ~ spl25_15
| ~ spl25_647 ),
inference(forward_demodulation,[],[f6612,f646]) ).
fof(f6612,plain,
( sK2 = sdtlpdtrp0(xd,sK22(xd,szNzAzT0,sK2))
| ~ aFunction0(xd)
| ~ aSubsetOf0(szNzAzT0,szDzozmdt0(xd))
| ~ spl25_647 ),
inference(resolution,[],[f6245,f570]) ).
fof(f6605,plain,
( spl25_85
| spl25_705
| ~ spl25_706
| ~ spl25_245
| ~ spl25_707
| ~ spl25_154
| ~ spl25_246 ),
inference(avatar_split_clause,[],[f6592,f2441,f1662,f6602,f2402,f6598,f6594,f1111]) ).
fof(f6594,plain,
( spl25_705
<=> sz00 = sdtlpdtrp0(xe,xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_705])]) ).
fof(f6598,plain,
( spl25_706
<=> aElementOf0(sdtlpdtrp0(xe,xK),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_706])]) ).
fof(f6602,plain,
( spl25_707
<=> aElementOf0(sz00,sdtlpdtrp0(xN,xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_707])]) ).
fof(f2441,plain,
( spl25_246
<=> ! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| ~ aElementOf0(szmzizndt0(X0),sdtlpdtrp0(xN,xK))
| slcrc0 = X0
| ~ aElementOf0(sdtlpdtrp0(xe,xK),X0)
| szmzizndt0(X0) = sdtlpdtrp0(xe,xK) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_246])]) ).
fof(f6592,plain,
( ~ aElementOf0(sz00,sdtlpdtrp0(xN,xK))
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| ~ aElementOf0(sdtlpdtrp0(xe,xK),szNzAzT0)
| sz00 = sdtlpdtrp0(xe,xK)
| slcrc0 = szNzAzT0
| ~ spl25_154
| ~ spl25_246 ),
inference(superposition,[],[f2442,f1664]) ).
fof(f2442,plain,
( ! [X0] :
( ~ aElementOf0(szmzizndt0(X0),sdtlpdtrp0(xN,xK))
| slcrc0 = X0
| szmzizndt0(X0) = sdtlpdtrp0(xe,xK)
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ aElementOf0(sdtlpdtrp0(xe,xK),X0) )
| ~ spl25_246 ),
inference(avatar_component_clause,[],[f2441]) ).
fof(f6590,plain,
( ~ spl25_416
| spl25_704
| ~ spl25_664 ),
inference(avatar_split_clause,[],[f6584,f6320,f6587,f4012]) ).
fof(f4012,plain,
( spl25_416
<=> aSet0(sK15(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_416])]) ).
fof(f6587,plain,
( spl25_704
<=> sdtpldt0(sdtmndt0(sK15(sz00),sK2),sK2) = sK15(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_704])]) ).
fof(f6320,plain,
( spl25_664
<=> aElementOf0(sK2,sK15(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_664])]) ).
fof(f6584,plain,
( sdtpldt0(sdtmndt0(sK15(sz00),sK2),sK2) = sK15(sz00)
| ~ aSet0(sK15(sz00))
| ~ spl25_664 ),
inference(resolution,[],[f6322,f410]) ).
fof(f6322,plain,
( aElementOf0(sK2,sK15(sz00))
| ~ spl25_664 ),
inference(avatar_component_clause,[],[f6320]) ).
fof(f6582,plain,
( spl25_703
| ~ spl25_533
| ~ spl25_657 ),
inference(avatar_split_clause,[],[f6576,f6288,f5102,f6579]) ).
fof(f6579,plain,
( spl25_703
<=> sdtpldt0(sdtmndt0(slbdtrb0(xK),sK2),sK2) = slbdtrb0(xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_703])]) ).
fof(f5102,plain,
( spl25_533
<=> aSet0(slbdtrb0(xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_533])]) ).
fof(f6288,plain,
( spl25_657
<=> aElementOf0(sK2,slbdtrb0(xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_657])]) ).
fof(f6576,plain,
( ~ aSet0(slbdtrb0(xK))
| sdtpldt0(sdtmndt0(slbdtrb0(xK),sK2),sK2) = slbdtrb0(xK)
| ~ spl25_657 ),
inference(resolution,[],[f6290,f410]) ).
fof(f6290,plain,
( aElementOf0(sK2,slbdtrb0(xK))
| ~ spl25_657 ),
inference(avatar_component_clause,[],[f6288]) ).
fof(f6574,plain,
( spl25_227
| spl25_702
| ~ spl25_92
| ~ spl25_209 ),
inference(avatar_split_clause,[],[f6554,f2153,f1152,f6571,f2248]) ).
fof(f2248,plain,
( spl25_227
<=> sz00 = sK7(xd) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_227])]) ).
fof(f6571,plain,
( spl25_702
<=> szDzozmdt0(sdtlpdtrp0(xC,sK1(sK7(xd)))) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK1(sK7(xd))),sdtlpdtrp0(xe,sK1(sK7(xd)))),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_702])]) ).
fof(f6554,plain,
( szDzozmdt0(sdtlpdtrp0(xC,sK1(sK7(xd)))) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK1(sK7(xd))),sdtlpdtrp0(xe,sK1(sK7(xd)))),sz00)
| sz00 = sK7(xd)
| ~ spl25_92
| ~ spl25_209 ),
inference(resolution,[],[f1805,f2155]) ).
fof(f6566,plain,
( spl25_701
| spl25_406
| ~ spl25_92
| ~ spl25_311 ),
inference(avatar_split_clause,[],[f6555,f2983,f1152,f3913,f6563]) ).
fof(f6563,plain,
( spl25_701
<=> szDzozmdt0(sdtlpdtrp0(xC,sK1(sK13(szNzAzT0)))) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK1(sK13(szNzAzT0))),sdtlpdtrp0(xe,sK1(sK13(szNzAzT0)))),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_701])]) ).
fof(f3913,plain,
( spl25_406
<=> sz00 = sK13(szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_406])]) ).
fof(f6555,plain,
( sz00 = sK13(szNzAzT0)
| szDzozmdt0(sdtlpdtrp0(xC,sK1(sK13(szNzAzT0)))) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK1(sK13(szNzAzT0))),sdtlpdtrp0(xe,sK1(sK13(szNzAzT0)))),sz00)
| ~ spl25_92
| ~ spl25_311 ),
inference(resolution,[],[f1805,f2985]) ).
fof(f6561,plain,
( spl25_497
| spl25_700
| ~ spl25_92
| ~ spl25_456 ),
inference(avatar_split_clause,[],[f6550,f4316,f1152,f6558,f4702]) ).
fof(f4702,plain,
( spl25_497
<=> sz00 = szszuzczcdt0(xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_497])]) ).
fof(f6558,plain,
( spl25_700
<=> slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK1(szszuzczcdt0(xK))),sdtlpdtrp0(xe,sK1(szszuzczcdt0(xK)))),sz00) = szDzozmdt0(sdtlpdtrp0(xC,sK1(szszuzczcdt0(xK)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_700])]) ).
fof(f6550,plain,
( slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK1(szszuzczcdt0(xK))),sdtlpdtrp0(xe,sK1(szszuzczcdt0(xK)))),sz00) = szDzozmdt0(sdtlpdtrp0(xC,sK1(szszuzczcdt0(xK))))
| sz00 = szszuzczcdt0(xK)
| ~ spl25_92
| ~ spl25_456 ),
inference(resolution,[],[f1805,f4317]) ).
fof(f6531,plain,
( ~ spl25_7
| spl25_699
| ~ spl25_661 ),
inference(avatar_split_clause,[],[f6524,f6306,f6528,f605]) ).
fof(f6528,plain,
( spl25_699
<=> slcrc0 = sdtpldt0(sdtmndt0(slcrc0,sK2),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_699])]) ).
fof(f6524,plain,
( slcrc0 = sdtpldt0(sdtmndt0(slcrc0,sK2),sK2)
| ~ aSet0(slcrc0)
| ~ spl25_661 ),
inference(resolution,[],[f6308,f410]) ).
fof(f6308,plain,
( aElementOf0(sK2,slcrc0)
| ~ spl25_661 ),
inference(avatar_component_clause,[],[f6306]) ).
fof(f6526,plain,
~ spl25_661,
inference(avatar_contradiction_clause,[],[f6522]) ).
fof(f6522,plain,
( $false
| ~ spl25_661 ),
inference(resolution,[],[f6308,f556]) ).
fof(f556,plain,
! [X2] : ~ aElementOf0(X2,slcrc0),
inference(equality_resolution,[],[f460]) ).
fof(f460,plain,
! [X2,X0] :
( ~ aElementOf0(X2,X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f303]) ).
fof(f6515,plain,
( spl25_698
| ~ spl25_655 ),
inference(avatar_split_clause,[],[f6398,f6279,f6512]) ).
fof(f6512,plain,
( spl25_698
<=> szmzizndt0(sdtlpdtrp0(xN,sK2)) = sdtlpdtrp0(xe,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_698])]) ).
fof(f6398,plain,
( szmzizndt0(sdtlpdtrp0(xN,sK2)) = sdtlpdtrp0(xe,sK2)
| ~ spl25_655 ),
inference(resolution,[],[f6281,f357]) ).
fof(f6281,plain,
( aElementOf0(sK2,szNzAzT0)
| ~ spl25_655 ),
inference(avatar_component_clause,[],[f6279]) ).
fof(f6510,plain,
( spl25_681
| spl25_697
| ~ spl25_234
| ~ spl25_655 ),
inference(avatar_split_clause,[],[f6415,f6279,f2302,f6507,f6430]) ).
fof(f6430,plain,
( spl25_681
<=> sz00 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl25_681])]) ).
fof(f6507,plain,
( spl25_697
<=> aElementOf0(sK11(szNzAzT0,sK2),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_697])]) ).
fof(f6415,plain,
( aElementOf0(sK11(szNzAzT0,sK2),szNzAzT0)
| sz00 = sK2
| ~ spl25_234
| ~ spl25_655 ),
inference(resolution,[],[f6281,f2303]) ).
fof(f6505,plain,
( spl25_696
| ~ spl25_655 ),
inference(avatar_split_clause,[],[f6402,f6279,f6502]) ).
fof(f6502,plain,
( spl25_696
<=> sK2 = sbrdtbr0(slbdtrb0(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_696])]) ).
fof(f6402,plain,
( sK2 = sbrdtbr0(slbdtrb0(sK2))
| ~ spl25_655 ),
inference(resolution,[],[f6281,f475]) ).
fof(f6500,plain,
( spl25_694
| spl25_695
| ~ spl25_655 ),
inference(avatar_split_clause,[],[f6406,f6279,f6497,f6493]) ).
fof(f6493,plain,
( spl25_694
<=> szszuzczcdt0(sK2) = szszuzczcdt0(sK1(szszuzczcdt0(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_694])]) ).
fof(f6497,plain,
( spl25_695
<=> sz00 = szszuzczcdt0(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_695])]) ).
fof(f6406,plain,
( sz00 = szszuzczcdt0(sK2)
| szszuzczcdt0(sK2) = szszuzczcdt0(sK1(szszuzczcdt0(sK2)))
| ~ spl25_655 ),
inference(resolution,[],[f6281,f1143]) ).
fof(f6491,plain,
( spl25_693
| ~ spl25_104
| ~ spl25_655 ),
inference(avatar_split_clause,[],[f6408,f6279,f1341,f6488]) ).
fof(f6488,plain,
( spl25_693
<=> szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,szszuzczcdt0(sK2)),szszuzczcdt0(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_693])]) ).
fof(f6408,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,szszuzczcdt0(sK2)),szszuzczcdt0(sK2))
| ~ spl25_104
| ~ spl25_655 ),
inference(resolution,[],[f6281,f1342]) ).
fof(f6486,plain,
( spl25_681
| spl25_692
| ~ spl25_109
| ~ spl25_655 ),
inference(avatar_split_clause,[],[f6410,f6279,f1364,f6483,f6430]) ).
fof(f6483,plain,
( spl25_692
<=> szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK1(sK2)),sK1(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_692])]) ).
fof(f6410,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK1(sK2)),sK1(sK2))
| sz00 = sK2
| ~ spl25_109
| ~ spl25_655 ),
inference(resolution,[],[f6281,f1365]) ).
fof(f6481,plain,
( spl25_691
| ~ spl25_92
| ~ spl25_655 ),
inference(avatar_split_clause,[],[f6412,f6279,f1152,f6478]) ).
fof(f6478,plain,
( spl25_691
<=> slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK2),sdtlpdtrp0(xe,sK2)),sz00) = szDzozmdt0(sdtlpdtrp0(xC,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_691])]) ).
fof(f6412,plain,
( slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK2),sdtlpdtrp0(xe,sK2)),sz00) = szDzozmdt0(sdtlpdtrp0(xC,sK2))
| ~ spl25_92
| ~ spl25_655 ),
inference(resolution,[],[f6281,f1784]) ).
fof(f6476,plain,
( spl25_689
| spl25_690
| ~ spl25_92
| ~ spl25_126
| ~ spl25_655 ),
inference(avatar_split_clause,[],[f6414,f6279,f1478,f1152,f6473,f6469]) ).
fof(f6469,plain,
( spl25_689
<=> sdtlseqdt0(xK,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_689])]) ).
fof(f6473,plain,
( spl25_690
<=> sdtlseqdt0(sK2,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_690])]) ).
fof(f6414,plain,
( sdtlseqdt0(sK2,sz00)
| sdtlseqdt0(xK,sK2)
| ~ spl25_92
| ~ spl25_126
| ~ spl25_655 ),
inference(resolution,[],[f6281,f1812]) ).
fof(f6467,plain,
( spl25_688
| ~ spl25_14
| ~ spl25_655 ),
inference(avatar_split_clause,[],[f6418,f6279,f639,f6464]) ).
fof(f6464,plain,
( spl25_688
<=> szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK2),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_688])]) ).
fof(f6418,plain,
( ~ aSet0(szNzAzT0)
| szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK2),sK2)
| ~ spl25_655 ),
inference(resolution,[],[f6281,f410]) ).
fof(f6462,plain,
( spl25_687
| ~ spl25_107
| ~ spl25_655 ),
inference(avatar_split_clause,[],[f6409,f6279,f1355,f6459]) ).
fof(f6459,plain,
( spl25_687
<=> xT = sdtpldt0(sdtmndt0(xT,sK14(sK2)),sK14(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_687])]) ).
fof(f6409,plain,
( xT = sdtpldt0(sdtmndt0(xT,sK14(sK2)),sK14(sK2))
| ~ spl25_107
| ~ spl25_655 ),
inference(resolution,[],[f6281,f1356]) ).
fof(f6457,plain,
( spl25_686
| ~ spl25_92
| ~ spl25_655 ),
inference(avatar_split_clause,[],[f6413,f6279,f1152,f6454]) ).
fof(f6454,plain,
( spl25_686
<=> szDzozmdt0(sdtlpdtrp0(xC,szszuzczcdt0(sK2))) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,szszuzczcdt0(sK2)),sdtlpdtrp0(xe,szszuzczcdt0(sK2))),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_686])]) ).
fof(f6413,plain,
( szDzozmdt0(sdtlpdtrp0(xC,szszuzczcdt0(sK2))) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,szszuzczcdt0(sK2)),sdtlpdtrp0(xe,szszuzczcdt0(sK2))),sz00)
| ~ spl25_92
| ~ spl25_655 ),
inference(resolution,[],[f6281,f1793]) ).
fof(f6452,plain,
( spl25_684
| spl25_685
| spl25_681
| ~ spl25_655 ),
inference(avatar_split_clause,[],[f6407,f6279,f6430,f6449,f6445]) ).
fof(f6445,plain,
( spl25_684
<=> sK1(sK2) = szszuzczcdt0(sK1(sK1(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_684])]) ).
fof(f6449,plain,
( spl25_685
<=> sz00 = sK1(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_685])]) ).
fof(f6407,plain,
( sz00 = sK2
| sz00 = sK1(sK2)
| sK1(sK2) = szszuzczcdt0(sK1(sK1(sK2)))
| ~ spl25_655 ),
inference(resolution,[],[f6281,f1146]) ).
fof(f6443,plain,
( spl25_683
| ~ spl25_655 ),
inference(avatar_split_clause,[],[f6404,f6279,f6440]) ).
fof(f6440,plain,
( spl25_683
<=> sdtlpdtrp0(xe,szszuzczcdt0(sK2)) = szmzizndt0(sdtlpdtrp0(xN,szszuzczcdt0(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_683])]) ).
fof(f6404,plain,
( sdtlpdtrp0(xe,szszuzczcdt0(sK2)) = szmzizndt0(sdtlpdtrp0(xN,szszuzczcdt0(sK2)))
| ~ spl25_655 ),
inference(resolution,[],[f6281,f922]) ).
fof(f6438,plain,
( spl25_682
| spl25_681
| ~ spl25_655 ),
inference(avatar_split_clause,[],[f6405,f6279,f6430,f6435]) ).
fof(f6435,plain,
( spl25_682
<=> szmzizndt0(sdtlpdtrp0(xN,sK1(sK2))) = sdtlpdtrp0(xe,sK1(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_682])]) ).
fof(f6405,plain,
( sz00 = sK2
| szmzizndt0(sdtlpdtrp0(xN,sK1(sK2))) = sdtlpdtrp0(xe,sK1(sK2))
| ~ spl25_655 ),
inference(resolution,[],[f6281,f1076]) ).
fof(f6433,plain,
( spl25_680
| spl25_681
| ~ spl25_655 ),
inference(avatar_split_clause,[],[f6397,f6279,f6430,f6426]) ).
fof(f6426,plain,
( spl25_680
<=> sK2 = szszuzczcdt0(sK1(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_680])]) ).
fof(f6397,plain,
( sz00 = sK2
| sK2 = szszuzczcdt0(sK1(sK2))
| ~ spl25_655 ),
inference(resolution,[],[f6281,f348]) ).
fof(f6424,plain,
( spl25_679
| ~ spl25_110
| ~ spl25_655 ),
inference(avatar_split_clause,[],[f6411,f6279,f1368,f6421]) ).
fof(f6421,plain,
( spl25_679
<=> xT = sdtpldt0(sdtmndt0(xT,sK19(sK2)),sK19(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_679])]) ).
fof(f6411,plain,
( xT = sdtpldt0(sdtmndt0(xT,sK19(sK2)),sK19(sK2))
| ~ spl25_110
| ~ spl25_655 ),
inference(resolution,[],[f6281,f1369]) ).
fof(f6390,plain,
( ~ spl25_34
| spl25_678
| ~ spl25_651 ),
inference(avatar_split_clause,[],[f6384,f6261,f6387,f746]) ).
fof(f746,plain,
( spl25_34
<=> aSet0(xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_34])]) ).
fof(f6387,plain,
( spl25_678
<=> xT = sdtpldt0(sdtmndt0(xT,sK2),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_678])]) ).
fof(f6261,plain,
( spl25_651
<=> aElementOf0(sK2,xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_651])]) ).
fof(f6384,plain,
( xT = sdtpldt0(sdtmndt0(xT,sK2),sK2)
| ~ aSet0(xT)
| ~ spl25_651 ),
inference(resolution,[],[f6263,f410]) ).
fof(f6263,plain,
( aElementOf0(sK2,xT)
| ~ spl25_651 ),
inference(avatar_component_clause,[],[f6261]) ).
fof(f6381,plain,
( spl25_676
| spl25_677
| ~ spl25_116
| ~ spl25_379 ),
inference(avatar_split_clause,[],[f6195,f3625,f1400,f6378,f6374]) ).
fof(f6374,plain,
( spl25_676
<=> sdtlcdtrc0(xC,szNzAzT0) = sdtmndt0(sdtpldt0(sdtlcdtrc0(xC,szNzAzT0),sK2),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_676])]) ).
fof(f6195,plain,
( aElementOf0(sK2,sdtlcdtrc0(xC,szNzAzT0))
| sdtlcdtrc0(xC,szNzAzT0) = sdtmndt0(sdtpldt0(sdtlcdtrc0(xC,szNzAzT0),sK2),sK2)
| ~ spl25_116
| ~ spl25_379 ),
inference(resolution,[],[f2593,f3626]) ).
fof(f3626,plain,
( aSet0(sdtlcdtrc0(xC,szNzAzT0))
| ~ spl25_379 ),
inference(avatar_component_clause,[],[f3625]) ).
fof(f6372,plain,
( spl25_674
| spl25_675
| ~ spl25_116
| ~ spl25_176 ),
inference(avatar_split_clause,[],[f6180,f1872,f1400,f6369,f6365]) ).
fof(f6365,plain,
( spl25_674
<=> aElementOf0(sK2,sdtmndt0(xS,szmzizndt0(xS))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_674])]) ).
fof(f6369,plain,
( spl25_675
<=> sdtmndt0(sdtpldt0(sdtmndt0(xS,szmzizndt0(xS)),sK2),sK2) = sdtmndt0(xS,szmzizndt0(xS)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_675])]) ).
fof(f6180,plain,
( sdtmndt0(sdtpldt0(sdtmndt0(xS,szmzizndt0(xS)),sK2),sK2) = sdtmndt0(xS,szmzizndt0(xS))
| aElementOf0(sK2,sdtmndt0(xS,szmzizndt0(xS)))
| ~ spl25_116
| ~ spl25_176 ),
inference(resolution,[],[f2593,f1873]) ).
fof(f1873,plain,
( aSet0(sdtmndt0(xS,szmzizndt0(xS)))
| ~ spl25_176 ),
inference(avatar_component_clause,[],[f1872]) ).
fof(f6363,plain,
( spl25_672
| spl25_673
| ~ spl25_116
| ~ spl25_255 ),
inference(avatar_split_clause,[],[f6177,f2500,f1400,f6360,f6356]) ).
fof(f6360,plain,
( spl25_673
<=> sdtmndt0(szNzAzT0,xK) = sdtmndt0(sdtpldt0(sdtmndt0(szNzAzT0,xK),sK2),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_673])]) ).
fof(f6177,plain,
( sdtmndt0(szNzAzT0,xK) = sdtmndt0(sdtpldt0(sdtmndt0(szNzAzT0,xK),sK2),sK2)
| aElementOf0(sK2,sdtmndt0(szNzAzT0,xK))
| ~ spl25_116
| ~ spl25_255 ),
inference(resolution,[],[f2593,f2501]) ).
fof(f2501,plain,
( aSet0(sdtmndt0(szNzAzT0,xK))
| ~ spl25_255 ),
inference(avatar_component_clause,[],[f2500]) ).
fof(f6354,plain,
( spl25_670
| spl25_671
| ~ spl25_116
| ~ spl25_300 ),
inference(avatar_split_clause,[],[f6179,f2887,f1400,f6351,f6347]) ).
fof(f6347,plain,
( spl25_670
<=> sdtmndt0(sdtpldt0(sdtmndt0(xT,szDzizrdt0(xd)),sK2),sK2) = sdtmndt0(xT,szDzizrdt0(xd)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_670])]) ).
fof(f6351,plain,
( spl25_671
<=> aElementOf0(sK2,sdtmndt0(xT,szDzizrdt0(xd))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_671])]) ).
fof(f2887,plain,
( spl25_300
<=> aSet0(sdtmndt0(xT,szDzizrdt0(xd))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_300])]) ).
fof(f6179,plain,
( aElementOf0(sK2,sdtmndt0(xT,szDzizrdt0(xd)))
| sdtmndt0(sdtpldt0(sdtmndt0(xT,szDzizrdt0(xd)),sK2),sK2) = sdtmndt0(xT,szDzizrdt0(xd))
| ~ spl25_116
| ~ spl25_300 ),
inference(resolution,[],[f2593,f2888]) ).
fof(f2888,plain,
( aSet0(sdtmndt0(xT,szDzizrdt0(xd)))
| ~ spl25_300 ),
inference(avatar_component_clause,[],[f2887]) ).
fof(f6345,plain,
( spl25_668
| spl25_669
| ~ spl25_116
| ~ spl25_386 ),
inference(avatar_split_clause,[],[f6196,f3679,f1400,f6342,f6338]) ).
fof(f6338,plain,
( spl25_668
<=> sdtmndt0(sdtpldt0(sdtlcdtrc0(xe,szNzAzT0),sK2),sK2) = sdtlcdtrc0(xe,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_668])]) ).
fof(f6196,plain,
( aElementOf0(sK2,sdtlcdtrc0(xe,szNzAzT0))
| sdtmndt0(sdtpldt0(sdtlcdtrc0(xe,szNzAzT0),sK2),sK2) = sdtlcdtrc0(xe,szNzAzT0)
| ~ spl25_116
| ~ spl25_386 ),
inference(resolution,[],[f2593,f3680]) ).
fof(f3680,plain,
( aSet0(sdtlcdtrc0(xe,szNzAzT0))
| ~ spl25_386 ),
inference(avatar_component_clause,[],[f3679]) ).
fof(f6336,plain,
( spl25_666
| spl25_667
| ~ spl25_116
| ~ spl25_398 ),
inference(avatar_split_clause,[],[f6188,f3854,f1400,f6333,f6329]) ).
fof(f6329,plain,
( spl25_666
<=> aElementOf0(sK2,szDzozmdt0(sdtlpdtrp0(xC,sz00))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_666])]) ).
fof(f6333,plain,
( spl25_667
<=> szDzozmdt0(sdtlpdtrp0(xC,sz00)) = sdtmndt0(sdtpldt0(szDzozmdt0(sdtlpdtrp0(xC,sz00)),sK2),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_667])]) ).
fof(f3854,plain,
( spl25_398
<=> aSet0(szDzozmdt0(sdtlpdtrp0(xC,sz00))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_398])]) ).
fof(f6188,plain,
( szDzozmdt0(sdtlpdtrp0(xC,sz00)) = sdtmndt0(sdtpldt0(szDzozmdt0(sdtlpdtrp0(xC,sz00)),sK2),sK2)
| aElementOf0(sK2,szDzozmdt0(sdtlpdtrp0(xC,sz00)))
| ~ spl25_116
| ~ spl25_398 ),
inference(resolution,[],[f2593,f3856]) ).
fof(f3856,plain,
( aSet0(szDzozmdt0(sdtlpdtrp0(xC,sz00)))
| ~ spl25_398 ),
inference(avatar_component_clause,[],[f3854]) ).
fof(f6327,plain,
( spl25_664
| spl25_665
| ~ spl25_116
| ~ spl25_416 ),
inference(avatar_split_clause,[],[f6201,f4012,f1400,f6324,f6320]) ).
fof(f6324,plain,
( spl25_665
<=> sdtmndt0(sdtpldt0(sK15(sz00),sK2),sK2) = sK15(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_665])]) ).
fof(f6201,plain,
( sdtmndt0(sdtpldt0(sK15(sz00),sK2),sK2) = sK15(sz00)
| aElementOf0(sK2,sK15(sz00))
| ~ spl25_116
| ~ spl25_416 ),
inference(resolution,[],[f2593,f4014]) ).
fof(f4014,plain,
( aSet0(sK15(sz00))
| ~ spl25_416 ),
inference(avatar_component_clause,[],[f4012]) ).
fof(f6318,plain,
( spl25_662
| spl25_663
| ~ spl25_116
| ~ spl25_369 ),
inference(avatar_split_clause,[],[f6194,f3567,f1400,f6315,f6311]) ).
fof(f6315,plain,
( spl25_663
<=> sdtmndt0(sdtpldt0(sdtlcdtrc0(xN,szNzAzT0),sK2),sK2) = sdtlcdtrc0(xN,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_663])]) ).
fof(f6194,plain,
( sdtmndt0(sdtpldt0(sdtlcdtrc0(xN,szNzAzT0),sK2),sK2) = sdtlcdtrc0(xN,szNzAzT0)
| aElementOf0(sK2,sdtlcdtrc0(xN,szNzAzT0))
| ~ spl25_116
| ~ spl25_369 ),
inference(resolution,[],[f2593,f3568]) ).
fof(f3568,plain,
( aSet0(sdtlcdtrc0(xN,szNzAzT0))
| ~ spl25_369 ),
inference(avatar_component_clause,[],[f3567]) ).
fof(f6309,plain,
( spl25_660
| spl25_661
| ~ spl25_7
| ~ spl25_116 ),
inference(avatar_split_clause,[],[f6173,f1400,f605,f6306,f6302]) ).
fof(f6302,plain,
( spl25_660
<=> slcrc0 = sdtmndt0(sdtpldt0(slcrc0,sK2),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_660])]) ).
fof(f6173,plain,
( aElementOf0(sK2,slcrc0)
| slcrc0 = sdtmndt0(sdtpldt0(slcrc0,sK2),sK2)
| ~ spl25_7
| ~ spl25_116 ),
inference(resolution,[],[f2593,f606]) ).
fof(f606,plain,
( aSet0(slcrc0)
| ~ spl25_7 ),
inference(avatar_component_clause,[],[f605]) ).
fof(f6300,plain,
( spl25_658
| spl25_659
| ~ spl25_116
| ~ spl25_269 ),
inference(avatar_split_clause,[],[f6178,f2628,f1400,f6297,f6293]) ).
fof(f6293,plain,
( spl25_658
<=> aElementOf0(sK2,sdtmndt0(szNzAzT0,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_658])]) ).
fof(f6297,plain,
( spl25_659
<=> sdtmndt0(szNzAzT0,sz00) = sdtmndt0(sdtpldt0(sdtmndt0(szNzAzT0,sz00),sK2),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_659])]) ).
fof(f2628,plain,
( spl25_269
<=> aSet0(sdtmndt0(szNzAzT0,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_269])]) ).
fof(f6178,plain,
( sdtmndt0(szNzAzT0,sz00) = sdtmndt0(sdtpldt0(sdtmndt0(szNzAzT0,sz00),sK2),sK2)
| aElementOf0(sK2,sdtmndt0(szNzAzT0,sz00))
| ~ spl25_116
| ~ spl25_269 ),
inference(resolution,[],[f2593,f2629]) ).
fof(f2629,plain,
( aSet0(sdtmndt0(szNzAzT0,sz00))
| ~ spl25_269 ),
inference(avatar_component_clause,[],[f2628]) ).
fof(f6291,plain,
( spl25_656
| spl25_657
| ~ spl25_116
| ~ spl25_533 ),
inference(avatar_split_clause,[],[f6184,f5102,f1400,f6288,f6284]) ).
fof(f6284,plain,
( spl25_656
<=> slbdtrb0(xK) = sdtmndt0(sdtpldt0(slbdtrb0(xK),sK2),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_656])]) ).
fof(f6184,plain,
( aElementOf0(sK2,slbdtrb0(xK))
| slbdtrb0(xK) = sdtmndt0(sdtpldt0(slbdtrb0(xK),sK2),sK2)
| ~ spl25_116
| ~ spl25_533 ),
inference(resolution,[],[f2593,f5103]) ).
fof(f5103,plain,
( aSet0(slbdtrb0(xK))
| ~ spl25_533 ),
inference(avatar_component_clause,[],[f5102]) ).
fof(f6282,plain,
( spl25_654
| spl25_655
| ~ spl25_14
| ~ spl25_116 ),
inference(avatar_split_clause,[],[f6182,f1400,f639,f6279,f6275]) ).
fof(f6182,plain,
( aElementOf0(sK2,szNzAzT0)
| szNzAzT0 = sdtmndt0(sdtpldt0(szNzAzT0,sK2),sK2)
| ~ spl25_14
| ~ spl25_116 ),
inference(resolution,[],[f2593,f641]) ).
fof(f6273,plain,
( spl25_652
| spl25_653
| ~ spl25_116
| ~ spl25_357 ),
inference(avatar_split_clause,[],[f6187,f3452,f1400,f6270,f6266]) ).
fof(f6266,plain,
( spl25_652
<=> aElementOf0(sK2,szDzozmdt0(xc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_652])]) ).
fof(f6270,plain,
( spl25_653
<=> szDzozmdt0(xc) = sdtmndt0(sdtpldt0(szDzozmdt0(xc),sK2),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_653])]) ).
fof(f6187,plain,
( szDzozmdt0(xc) = sdtmndt0(sdtpldt0(szDzozmdt0(xc),sK2),sK2)
| aElementOf0(sK2,szDzozmdt0(xc))
| ~ spl25_116
| ~ spl25_357 ),
inference(resolution,[],[f2593,f3454]) ).
fof(f3454,plain,
( aSet0(szDzozmdt0(xc))
| ~ spl25_357 ),
inference(avatar_component_clause,[],[f3452]) ).
fof(f6264,plain,
( spl25_650
| spl25_651
| ~ spl25_34
| ~ spl25_116 ),
inference(avatar_split_clause,[],[f6198,f1400,f746,f6261,f6257]) ).
fof(f6257,plain,
( spl25_650
<=> xT = sdtmndt0(sdtpldt0(xT,sK2),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_650])]) ).
fof(f6198,plain,
( aElementOf0(sK2,xT)
| xT = sdtmndt0(sdtpldt0(xT,sK2),sK2)
| ~ spl25_34
| ~ spl25_116 ),
inference(resolution,[],[f2593,f748]) ).
fof(f748,plain,
( aSet0(xT)
| ~ spl25_34 ),
inference(avatar_component_clause,[],[f746]) ).
fof(f6255,plain,
( spl25_648
| spl25_649
| ~ spl25_74
| ~ spl25_116 ),
inference(avatar_split_clause,[],[f6199,f1400,f1033,f6252,f6248]) ).
fof(f6248,plain,
( spl25_648
<=> aElementOf0(sK2,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_648])]) ).
fof(f6199,plain,
( xS = sdtmndt0(sdtpldt0(xS,sK2),sK2)
| aElementOf0(sK2,xS)
| ~ spl25_74
| ~ spl25_116 ),
inference(resolution,[],[f2593,f1035]) ).
fof(f1035,plain,
( aSet0(xS)
| ~ spl25_74 ),
inference(avatar_component_clause,[],[f1033]) ).
fof(f6246,plain,
( spl25_646
| spl25_647
| ~ spl25_71
| ~ spl25_116 ),
inference(avatar_split_clause,[],[f6197,f1400,f1010,f6243,f6239]) ).
fof(f6239,plain,
( spl25_646
<=> sdtlcdtrc0(xd,szNzAzT0) = sdtmndt0(sdtpldt0(sdtlcdtrc0(xd,szNzAzT0),sK2),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_646])]) ).
fof(f6197,plain,
( aElementOf0(sK2,sdtlcdtrc0(xd,szNzAzT0))
| sdtlcdtrc0(xd,szNzAzT0) = sdtmndt0(sdtpldt0(sdtlcdtrc0(xd,szNzAzT0),sK2),sK2)
| ~ spl25_71
| ~ spl25_116 ),
inference(resolution,[],[f2593,f1012]) ).
fof(f1012,plain,
( aSet0(sdtlcdtrc0(xd,szNzAzT0))
| ~ spl25_71 ),
inference(avatar_component_clause,[],[f1010]) ).
fof(f6237,plain,
( spl25_644
| spl25_645
| ~ spl25_116
| ~ spl25_208 ),
inference(avatar_split_clause,[],[f6189,f2139,f1400,f6234,f6230]) ).
fof(f6230,plain,
( spl25_644
<=> aElementOf0(sK2,sdtlpdtrp0(xN,xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_644])]) ).
fof(f6234,plain,
( spl25_645
<=> sdtmndt0(sdtpldt0(sdtlpdtrp0(xN,xK),sK2),sK2) = sdtlpdtrp0(xN,xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_645])]) ).
fof(f6189,plain,
( sdtmndt0(sdtpldt0(sdtlpdtrp0(xN,xK),sK2),sK2) = sdtlpdtrp0(xN,xK)
| aElementOf0(sK2,sdtlpdtrp0(xN,xK))
| ~ spl25_116
| ~ spl25_208 ),
inference(resolution,[],[f2593,f2141]) ).
fof(f2141,plain,
( aSet0(sdtlpdtrp0(xN,xK))
| ~ spl25_208 ),
inference(avatar_component_clause,[],[f2139]) ).
fof(f6228,plain,
( spl25_642
| spl25_643
| ~ spl25_72
| ~ spl25_116 ),
inference(avatar_split_clause,[],[f6193,f1400,f1015,f6225,f6221]) ).
fof(f6221,plain,
( spl25_642
<=> aElementOf0(sK2,sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_642])]) ).
fof(f6225,plain,
( spl25_643
<=> sdtlcdtrc0(xc,szDzozmdt0(xc)) = sdtmndt0(sdtpldt0(sdtlcdtrc0(xc,szDzozmdt0(xc)),sK2),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_643])]) ).
fof(f1015,plain,
( spl25_72
<=> aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_72])]) ).
fof(f6193,plain,
( sdtlcdtrc0(xc,szDzozmdt0(xc)) = sdtmndt0(sdtpldt0(sdtlcdtrc0(xc,szDzozmdt0(xc)),sK2),sK2)
| aElementOf0(sK2,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ~ spl25_72
| ~ spl25_116 ),
inference(resolution,[],[f2593,f1017]) ).
fof(f1017,plain,
( aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ~ spl25_72 ),
inference(avatar_component_clause,[],[f1015]) ).
fof(f6219,plain,
( spl25_640
| spl25_641
| ~ spl25_116
| ~ spl25_328 ),
inference(avatar_split_clause,[],[f6176,f3105,f1400,f6216,f6212]) ).
fof(f6212,plain,
( spl25_640
<=> sdtmndt0(slcrc0,szDzizrdt0(xd)) = sdtmndt0(sdtpldt0(sdtmndt0(slcrc0,szDzizrdt0(xd)),sK2),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_640])]) ).
fof(f6176,plain,
( aElementOf0(sK2,sdtmndt0(slcrc0,szDzizrdt0(xd)))
| sdtmndt0(slcrc0,szDzizrdt0(xd)) = sdtmndt0(sdtpldt0(sdtmndt0(slcrc0,szDzizrdt0(xd)),sK2),sK2)
| ~ spl25_116
| ~ spl25_328 ),
inference(resolution,[],[f2593,f3106]) ).
fof(f3106,plain,
( aSet0(sdtmndt0(slcrc0,szDzizrdt0(xd)))
| ~ spl25_328 ),
inference(avatar_component_clause,[],[f3105]) ).
fof(f6210,plain,
( spl25_638
| spl25_639
| ~ spl25_116
| ~ spl25_563 ),
inference(avatar_split_clause,[],[f6191,f5462,f1400,f6207,f6203]) ).
fof(f6203,plain,
( spl25_638
<=> aElementOf0(sK2,sdtlbdtrb0(xN,xS)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_638])]) ).
fof(f6207,plain,
( spl25_639
<=> sdtmndt0(sdtpldt0(sdtlbdtrb0(xN,xS),sK2),sK2) = sdtlbdtrb0(xN,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_639])]) ).
fof(f5462,plain,
( spl25_563
<=> aSet0(sdtlbdtrb0(xN,xS)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_563])]) ).
fof(f6191,plain,
( sdtmndt0(sdtpldt0(sdtlbdtrb0(xN,xS),sK2),sK2) = sdtlbdtrb0(xN,xS)
| aElementOf0(sK2,sdtlbdtrb0(xN,xS))
| ~ spl25_116
| ~ spl25_563 ),
inference(resolution,[],[f2593,f5463]) ).
fof(f5463,plain,
( aSet0(sdtlbdtrb0(xN,xS))
| ~ spl25_563 ),
inference(avatar_component_clause,[],[f5462]) ).
fof(f6172,plain,
( spl25_637
| ~ spl25_245
| ~ spl25_247 ),
inference(avatar_split_clause,[],[f6164,f2450,f2402,f6169]) ).
fof(f6169,plain,
( spl25_637
<=> ! [X0] :
( aElementOf0(sK21(xC,szNzAzT0,X0),szNzAzT0)
| ~ aSet0(X0)
| sdtlcdtrc0(xC,szNzAzT0) = X0
| aElementOf0(sK20(xC,szNzAzT0,X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_637])]) ).
fof(f2450,plain,
( spl25_247
<=> ! [X2,X3] :
( aElementOf0(sK21(xC,X2,X3),X2)
| ~ aSet0(X3)
| ~ aSubsetOf0(X2,szNzAzT0)
| sdtlcdtrc0(xC,X2) = X3
| aElementOf0(sK20(xC,X2,X3),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_247])]) ).
fof(f6164,plain,
( ! [X2] :
( sdtlcdtrc0(xC,szNzAzT0) = X2
| aElementOf0(sK20(xC,szNzAzT0,X2),X2)
| ~ aSet0(X2)
| aElementOf0(sK21(xC,szNzAzT0,X2),szNzAzT0) )
| ~ spl25_245
| ~ spl25_247 ),
inference(resolution,[],[f2451,f2403]) ).
fof(f2451,plain,
( ! [X2,X3] :
( ~ aSubsetOf0(X2,szNzAzT0)
| aElementOf0(sK20(xC,X2,X3),X3)
| aElementOf0(sK21(xC,X2,X3),X2)
| ~ aSet0(X3)
| sdtlcdtrc0(xC,X2) = X3 )
| ~ spl25_247 ),
inference(avatar_component_clause,[],[f2450]) ).
fof(f6171,plain,
( ~ spl25_14
| spl25_637
| ~ spl25_247 ),
inference(avatar_split_clause,[],[f6162,f2450,f6169,f639]) ).
fof(f6162,plain,
( ! [X0] :
( aElementOf0(sK21(xC,szNzAzT0,X0),szNzAzT0)
| aElementOf0(sK20(xC,szNzAzT0,X0),X0)
| sdtlcdtrc0(xC,szNzAzT0) = X0
| ~ aSet0(szNzAzT0)
| ~ aSet0(X0) )
| ~ spl25_247 ),
inference(resolution,[],[f2451,f484]) ).
fof(f6155,plain,
( spl25_85
| ~ spl25_245
| spl25_636
| ~ spl25_154 ),
inference(avatar_split_clause,[],[f6150,f1662,f6153,f2402,f1111]) ).
fof(f6153,plain,
( spl25_636
<=> ! [X0] :
( ~ aElementOf0(szmzizndt0(X0),szNzAzT0)
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ aElementOf0(sz00,X0)
| sz00 = szmzizndt0(X0)
| slcrc0 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_636])]) ).
fof(f6150,plain,
( ! [X0] :
( ~ aElementOf0(szmzizndt0(X0),szNzAzT0)
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| slcrc0 = szNzAzT0
| slcrc0 = X0
| sz00 = szmzizndt0(X0)
| ~ aElementOf0(sz00,X0)
| ~ aSubsetOf0(X0,szNzAzT0) )
| ~ spl25_154 ),
inference(superposition,[],[f412,f1664]) ).
fof(f6110,plain,
( spl25_635
| ~ spl25_29
| ~ spl25_92
| ~ spl25_144 ),
inference(avatar_split_clause,[],[f6103,f1572,f1152,f718,f6108]) ).
fof(f6108,plain,
( spl25_635
<=> ! [X13,X14] :
( ~ aElementOf0(X14,szNzAzT0)
| sdtlseqdt0(X13,xK)
| ~ sdtlseqdt0(X14,sz00)
| ~ aElementOf0(X13,szNzAzT0)
| ~ sdtlseqdt0(X13,szszuzczcdt0(X14)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_635])]) ).
fof(f6103,plain,
( ! [X14,X13] :
( ~ aElementOf0(xK,szNzAzT0)
| ~ aElementOf0(X14,szNzAzT0)
| ~ sdtlseqdt0(X13,szszuzczcdt0(X14))
| ~ aElementOf0(X13,szNzAzT0)
| ~ sdtlseqdt0(X14,sz00)
| sdtlseqdt0(X13,xK) )
| ~ spl25_92
| ~ spl25_144 ),
inference(duplicate_literal_removal,[],[f6101]) ).
fof(f6101,plain,
( ! [X14,X13] :
( ~ aElementOf0(X13,szNzAzT0)
| ~ aElementOf0(X14,szNzAzT0)
| ~ sdtlseqdt0(X13,szszuzczcdt0(X14))
| ~ sdtlseqdt0(X14,sz00)
| ~ aElementOf0(xK,szNzAzT0)
| ~ aElementOf0(X14,szNzAzT0)
| sdtlseqdt0(X13,xK) )
| ~ spl25_92
| ~ spl25_144 ),
inference(resolution,[],[f2279,f1821]) ).
fof(f2279,plain,
! [X2,X3,X4] :
( ~ sdtlseqdt0(szszuzczcdt0(X2),X3)
| ~ aElementOf0(X4,szNzAzT0)
| ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(X4,szszuzczcdt0(X2))
| sdtlseqdt0(X4,X3) ),
inference(resolution,[],[f406,f346]) ).
fof(f406,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(X2,X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X1,X2) ),
inference(cnf_transformation,[],[f272]) ).
fof(f272,plain,
! [X0,X1,X2] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X2,X0)
| ~ sdtlseqdt0(X1,X2) ),
inference(rectify,[],[f125]) ).
fof(f125,plain,
! [X2,X1,X0] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X0) ),
inference(flattening,[],[f124]) ).
fof(f124,plain,
! [X1,X0,X2] :
( sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f101]) ).
fof(f101,plain,
! [X1,X0,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X0)
& sdtlseqdt0(X0,X2) )
=> sdtlseqdt0(X1,X2) ) ),
inference(rectify,[],[f36]) ).
fof(f36,axiom,
! [X1,X0,X2] :
( ( aElementOf0(X0,szNzAzT0)
& aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(X1,X2) )
=> sdtlseqdt0(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessTrans) ).
fof(f6083,plain,
( spl25_227
| spl25_634
| ~ spl25_209
| ~ spl25_234 ),
inference(avatar_split_clause,[],[f6076,f2302,f2153,f6080,f2248]) ).
fof(f6076,plain,
( aElementOf0(sK11(szNzAzT0,sK7(xd)),szNzAzT0)
| sz00 = sK7(xd)
| ~ spl25_209
| ~ spl25_234 ),
inference(resolution,[],[f2303,f2155]) ).
fof(f6069,plain,
( spl25_632
| spl25_633
| ~ spl25_92
| ~ spl25_126
| ~ spl25_209 ),
inference(avatar_split_clause,[],[f5992,f2153,f1478,f1152,f6066,f6062]) ).
fof(f5992,plain,
( sdtlseqdt0(sK7(xd),sz00)
| sdtlseqdt0(xK,sK7(xd))
| ~ spl25_92
| ~ spl25_126
| ~ spl25_209 ),
inference(resolution,[],[f2155,f1812]) ).
fof(f6060,plain,
( spl25_629
| ~ spl25_14
| ~ spl25_209 ),
inference(avatar_split_clause,[],[f5994,f2153,f639,f6046]) ).
fof(f6046,plain,
( spl25_629
<=> aElement0(sK7(xd)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_629])]) ).
fof(f5994,plain,
( ~ aSet0(szNzAzT0)
| aElement0(sK7(xd))
| ~ spl25_209 ),
inference(resolution,[],[f2155,f473]) ).
fof(f6059,plain,
( spl25_631
| ~ spl25_209 ),
inference(avatar_split_clause,[],[f5982,f2153,f6056]) ).
fof(f6056,plain,
( spl25_631
<=> szmzizndt0(sdtlpdtrp0(xN,szszuzczcdt0(sK7(xd)))) = sdtlpdtrp0(xe,szszuzczcdt0(sK7(xd))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_631])]) ).
fof(f5982,plain,
( szmzizndt0(sdtlpdtrp0(xN,szszuzczcdt0(sK7(xd)))) = sdtlpdtrp0(xe,szszuzczcdt0(sK7(xd)))
| ~ spl25_209 ),
inference(resolution,[],[f2155,f922]) ).
fof(f6054,plain,
( spl25_630
| ~ spl25_110
| ~ spl25_209 ),
inference(avatar_split_clause,[],[f5989,f2153,f1368,f6051]) ).
fof(f6051,plain,
( spl25_630
<=> xT = sdtpldt0(sdtmndt0(xT,sK19(sK7(xd))),sK19(sK7(xd))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_630])]) ).
fof(f5989,plain,
( xT = sdtpldt0(sdtmndt0(xT,sK19(sK7(xd))),sK19(sK7(xd)))
| ~ spl25_110
| ~ spl25_209 ),
inference(resolution,[],[f2155,f1369]) ).
fof(f6049,plain,
( spl25_629
| ~ spl25_209
| ~ spl25_256 ),
inference(avatar_split_clause,[],[f5993,f2504,f2153,f6046]) ).
fof(f5993,plain,
( aElement0(sK7(xd))
| ~ spl25_209
| ~ spl25_256 ),
inference(resolution,[],[f2155,f2505]) ).
fof(f6044,plain,
( spl25_627
| spl25_227
| spl25_628
| ~ spl25_209 ),
inference(avatar_split_clause,[],[f5985,f2153,f6041,f2248,f6037]) ).
fof(f6037,plain,
( spl25_627
<=> szszuzczcdt0(sK1(sK1(sK7(xd)))) = sK1(sK7(xd)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_627])]) ).
fof(f5985,plain,
( sz00 = sK1(sK7(xd))
| sz00 = sK7(xd)
| szszuzczcdt0(sK1(sK1(sK7(xd)))) = sK1(sK7(xd))
| ~ spl25_209 ),
inference(resolution,[],[f2155,f1146]) ).
fof(f6035,plain,
( spl25_626
| ~ spl25_107
| ~ spl25_209 ),
inference(avatar_split_clause,[],[f5987,f2153,f1355,f6032]) ).
fof(f6032,plain,
( spl25_626
<=> xT = sdtpldt0(sdtmndt0(xT,sK14(sK7(xd))),sK14(sK7(xd))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_626])]) ).
fof(f5987,plain,
( xT = sdtpldt0(sdtmndt0(xT,sK14(sK7(xd))),sK14(sK7(xd)))
| ~ spl25_107
| ~ spl25_209 ),
inference(resolution,[],[f2155,f1356]) ).
fof(f6030,plain,
( spl25_624
| spl25_625
| ~ spl25_209 ),
inference(avatar_split_clause,[],[f5984,f2153,f6027,f6023]) ).
fof(f6023,plain,
( spl25_624
<=> szszuzczcdt0(sK7(xd)) = szszuzczcdt0(sK1(szszuzczcdt0(sK7(xd)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_624])]) ).
fof(f6027,plain,
( spl25_625
<=> sz00 = szszuzczcdt0(sK7(xd)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_625])]) ).
fof(f5984,plain,
( sz00 = szszuzczcdt0(sK7(xd))
| szszuzczcdt0(sK7(xd)) = szszuzczcdt0(sK1(szszuzczcdt0(sK7(xd))))
| ~ spl25_209 ),
inference(resolution,[],[f2155,f1143]) ).
fof(f6021,plain,
( spl25_623
| ~ spl25_104
| ~ spl25_209 ),
inference(avatar_split_clause,[],[f5986,f2153,f1341,f6018]) ).
fof(f6018,plain,
( spl25_623
<=> szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,szszuzczcdt0(sK7(xd))),szszuzczcdt0(sK7(xd))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_623])]) ).
fof(f5986,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,szszuzczcdt0(sK7(xd))),szszuzczcdt0(sK7(xd)))
| ~ spl25_104
| ~ spl25_209 ),
inference(resolution,[],[f2155,f1342]) ).
fof(f6016,plain,
( spl25_622
| ~ spl25_92
| ~ spl25_209 ),
inference(avatar_split_clause,[],[f5991,f2153,f1152,f6013]) ).
fof(f6013,plain,
( spl25_622
<=> szDzozmdt0(sdtlpdtrp0(xC,szszuzczcdt0(sK7(xd)))) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,szszuzczcdt0(sK7(xd))),sdtlpdtrp0(xe,szszuzczcdt0(sK7(xd)))),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_622])]) ).
fof(f5991,plain,
( szDzozmdt0(sdtlpdtrp0(xC,szszuzczcdt0(sK7(xd)))) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,szszuzczcdt0(sK7(xd))),sdtlpdtrp0(xe,szszuzczcdt0(sK7(xd)))),sz00)
| ~ spl25_92
| ~ spl25_209 ),
inference(resolution,[],[f2155,f1793]) ).
fof(f6011,plain,
( spl25_621
| ~ spl25_209 ),
inference(avatar_split_clause,[],[f5980,f2153,f6008]) ).
fof(f5980,plain,
( sK7(xd) = sbrdtbr0(slbdtrb0(sK7(xd)))
| ~ spl25_209 ),
inference(resolution,[],[f2155,f475]) ).
fof(f6006,plain,
( spl25_620
| spl25_227
| ~ spl25_109
| ~ spl25_209 ),
inference(avatar_split_clause,[],[f5988,f2153,f1364,f2248,f6003]) ).
fof(f6003,plain,
( spl25_620
<=> szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK1(sK7(xd))),sK1(sK7(xd))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_620])]) ).
fof(f5988,plain,
( sz00 = sK7(xd)
| szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK1(sK7(xd))),sK1(sK7(xd)))
| ~ spl25_109
| ~ spl25_209 ),
inference(resolution,[],[f2155,f1365]) ).
fof(f6001,plain,
( spl25_619
| spl25_227
| ~ spl25_209 ),
inference(avatar_split_clause,[],[f5983,f2153,f2248,f5998]) ).
fof(f5998,plain,
( spl25_619
<=> sdtlpdtrp0(xe,sK1(sK7(xd))) = szmzizndt0(sdtlpdtrp0(xN,sK1(sK7(xd)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_619])]) ).
fof(f5983,plain,
( sz00 = sK7(xd)
| sdtlpdtrp0(xe,sK1(sK7(xd))) = szmzizndt0(sdtlpdtrp0(xN,sK1(sK7(xd))))
| ~ spl25_209 ),
inference(resolution,[],[f2155,f1076]) ).
fof(f5911,plain,
( ~ spl25_483
| ~ spl25_154
| spl25_486 ),
inference(avatar_split_clause,[],[f5910,f4606,f1662,f4548]) ).
fof(f4548,plain,
( spl25_483
<=> aElementOf0(sK11(szNzAzT0,sz00),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_483])]) ).
fof(f4606,plain,
( spl25_486
<=> aElementOf0(sK11(szNzAzT0,szmzizndt0(szNzAzT0)),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_486])]) ).
fof(f5910,plain,
( ~ aElementOf0(sK11(szNzAzT0,sz00),szNzAzT0)
| ~ spl25_154
| spl25_486 ),
inference(forward_demodulation,[],[f4608,f1664]) ).
fof(f4608,plain,
( ~ aElementOf0(sK11(szNzAzT0,szmzizndt0(szNzAzT0)),szNzAzT0)
| spl25_486 ),
inference(avatar_component_clause,[],[f4606]) ).
fof(f5900,plain,
( spl25_237
| ~ spl25_154
| ~ spl25_479 ),
inference(avatar_split_clause,[],[f5899,f4530,f1662,f2323]) ).
fof(f2323,plain,
( spl25_237
<=> sz00 = sK6(xd) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_237])]) ).
fof(f4530,plain,
( spl25_479
<=> szmzizndt0(szNzAzT0) = sK6(xd) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_479])]) ).
fof(f5899,plain,
( sz00 = sK6(xd)
| ~ spl25_154
| ~ spl25_479 ),
inference(forward_demodulation,[],[f4532,f1664]) ).
fof(f4532,plain,
( szmzizndt0(szNzAzT0) = sK6(xd)
| ~ spl25_479 ),
inference(avatar_component_clause,[],[f4530]) ).
fof(f5889,plain,
( ~ spl25_245
| spl25_618
| ~ spl25_28
| ~ spl25_6
| ~ spl25_15
| spl25_79 ),
inference(avatar_split_clause,[],[f3322,f1067,f644,f600,f713,f5886,f2402]) ).
fof(f5886,plain,
( spl25_618
<=> sdtlpdtrp0(xd,sK7(xd)) = sdtlpdtrp0(xd,sK6(xd)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_618])]) ).
fof(f1067,plain,
( spl25_79
<=> isCountable0(sdtlcdtrc0(xd,szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_79])]) ).
fof(f3322,plain,
( ~ isCountable0(szNzAzT0)
| ~ aFunction0(xd)
| sdtlpdtrp0(xd,sK7(xd)) = sdtlpdtrp0(xd,sK6(xd))
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| ~ spl25_15
| spl25_79 ),
inference(forward_demodulation,[],[f2392,f646]) ).
fof(f2392,plain,
( ~ aFunction0(xd)
| ~ aSubsetOf0(szNzAzT0,szDzozmdt0(xd))
| sdtlpdtrp0(xd,sK7(xd)) = sdtlpdtrp0(xd,sK6(xd))
| ~ isCountable0(szNzAzT0)
| spl25_79 ),
inference(resolution,[],[f395,f1069]) ).
fof(f1069,plain,
( ~ isCountable0(sdtlcdtrc0(xd,szNzAzT0))
| spl25_79 ),
inference(avatar_component_clause,[],[f1067]) ).
fof(f395,plain,
! [X0,X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| ~ aFunction0(X0)
| sdtlpdtrp0(X0,sK6(X0)) = sdtlpdtrp0(X0,sK7(X0))
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) ),
inference(cnf_transformation,[],[f266]) ).
fof(f266,plain,
! [X0] :
( ! [X1] :
( ( aElementOf0(sK6(X0),szDzozmdt0(X0))
& aElementOf0(sK7(X0),szDzozmdt0(X0))
& sdtlpdtrp0(X0,sK6(X0)) = sdtlpdtrp0(X0,sK7(X0))
& sK6(X0) != sK7(X0) )
| ~ isCountable0(X1)
| isCountable0(sdtlcdtrc0(X0,X1))
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f264,f265]) ).
fof(f265,plain,
! [X0] :
( ? [X2,X3] :
( aElementOf0(X2,szDzozmdt0(X0))
& aElementOf0(X3,szDzozmdt0(X0))
& sdtlpdtrp0(X0,X3) = sdtlpdtrp0(X0,X2)
& X2 != X3 )
=> ( aElementOf0(sK6(X0),szDzozmdt0(X0))
& aElementOf0(sK7(X0),szDzozmdt0(X0))
& sdtlpdtrp0(X0,sK6(X0)) = sdtlpdtrp0(X0,sK7(X0))
& sK6(X0) != sK7(X0) ) ),
introduced(choice_axiom,[]) ).
fof(f264,plain,
! [X0] :
( ! [X1] :
( ? [X2,X3] :
( aElementOf0(X2,szDzozmdt0(X0))
& aElementOf0(X3,szDzozmdt0(X0))
& sdtlpdtrp0(X0,X3) = sdtlpdtrp0(X0,X2)
& X2 != X3 )
| ~ isCountable0(X1)
| isCountable0(sdtlcdtrc0(X0,X1))
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(rectify,[],[f207]) ).
fof(f207,plain,
! [X0] :
( ! [X1] :
( ? [X3,X2] :
( aElementOf0(X3,szDzozmdt0(X0))
& aElementOf0(X2,szDzozmdt0(X0))
& sdtlpdtrp0(X0,X3) = sdtlpdtrp0(X0,X2)
& X2 != X3 )
| ~ isCountable0(X1)
| isCountable0(sdtlcdtrc0(X0,X1))
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(flattening,[],[f206]) ).
fof(f206,plain,
! [X0] :
( ! [X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| ? [X3,X2] :
( sdtlpdtrp0(X0,X3) = sdtlpdtrp0(X0,X2)
& X2 != X3
& aElementOf0(X3,szDzozmdt0(X0))
& aElementOf0(X2,szDzozmdt0(X0)) )
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ isCountable0(X1) )
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f71]) ).
fof(f71,axiom,
! [X0] :
( aFunction0(X0)
=> ! [X1] :
( ( aSubsetOf0(X1,szDzozmdt0(X0))
& isCountable0(X1) )
=> ( ! [X3,X2] :
( ( X2 != X3
& aElementOf0(X3,szDzozmdt0(X0))
& aElementOf0(X2,szDzozmdt0(X0)) )
=> sdtlpdtrp0(X0,X3) != sdtlpdtrp0(X0,X2) )
=> isCountable0(sdtlcdtrc0(X0,X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mImgCount) ).
fof(f5877,plain,
( spl25_79
| ~ spl25_28
| ~ spl25_6
| spl25_217
| ~ spl25_14
| ~ spl25_15 ),
inference(avatar_split_clause,[],[f5365,f644,f639,f2190,f600,f713,f1067]) ).
fof(f2190,plain,
( spl25_217
<=> aElementOf0(sK6(xd),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_217])]) ).
fof(f5365,plain,
( ~ aSet0(szNzAzT0)
| aElementOf0(sK6(xd),szNzAzT0)
| ~ isCountable0(szNzAzT0)
| ~ aFunction0(xd)
| isCountable0(sdtlcdtrc0(xd,szNzAzT0))
| ~ spl25_15 ),
inference(superposition,[],[f2184,f646]) ).
fof(f2184,plain,
! [X0] :
( isCountable0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ aFunction0(X0)
| ~ isCountable0(szDzozmdt0(X0))
| aElementOf0(sK6(X0),szDzozmdt0(X0))
| ~ aSet0(szDzozmdt0(X0)) ),
inference(resolution,[],[f397,f484]) ).
fof(f397,plain,
! [X0,X1] :
( ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0)
| ~ isCountable0(X1)
| isCountable0(sdtlcdtrc0(X0,X1))
| aElementOf0(sK6(X0),szDzozmdt0(X0)) ),
inference(cnf_transformation,[],[f266]) ).
fof(f5870,plain,
( ~ spl25_615
| ~ spl25_154
| spl25_518 ),
inference(avatar_split_clause,[],[f5869,f4877,f1662,f5852]) ).
fof(f5852,plain,
( spl25_615
<=> sz00 = szszuzczcdt0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_615])]) ).
fof(f4877,plain,
( spl25_518
<=> sz00 = szszuzczcdt0(szmzizndt0(szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_518])]) ).
fof(f5869,plain,
( sz00 != szszuzczcdt0(sz00)
| ~ spl25_154
| spl25_518 ),
inference(forward_demodulation,[],[f4878,f1664]) ).
fof(f4878,plain,
( sz00 != szszuzczcdt0(szmzizndt0(szNzAzT0))
| spl25_518 ),
inference(avatar_component_clause,[],[f4877]) ).
fof(f5868,plain,
( spl25_237
| spl25_238
| ~ spl25_217 ),
inference(avatar_split_clause,[],[f3333,f2190,f2327,f2323]) ).
fof(f2327,plain,
( spl25_238
<=> szszuzczcdt0(sK1(sK6(xd))) = sK6(xd) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_238])]) ).
fof(f3333,plain,
( szszuzczcdt0(sK1(sK6(xd))) = sK6(xd)
| sz00 = sK6(xd)
| ~ spl25_217 ),
inference(resolution,[],[f2192,f348]) ).
fof(f2192,plain,
( aElementOf0(sK6(xd),szNzAzT0)
| ~ spl25_217 ),
inference(avatar_component_clause,[],[f2190]) ).
fof(f5867,plain,
( ~ spl25_617
| ~ spl25_572
| spl25_585 ),
inference(avatar_split_clause,[],[f5840,f5640,f5577,f5864]) ).
fof(f5864,plain,
( spl25_617
<=> szszuzczcdt0(sK1(sK1(sz00))) = sK1(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_617])]) ).
fof(f5577,plain,
( spl25_572
<=> sz00 = sK11(szNzAzT0,xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_572])]) ).
fof(f5640,plain,
( spl25_585
<=> szszuzczcdt0(sK1(sK1(sK11(szNzAzT0,xK)))) = sK1(sK11(szNzAzT0,xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_585])]) ).
fof(f5840,plain,
( szszuzczcdt0(sK1(sK1(sz00))) != sK1(sz00)
| ~ spl25_572
| spl25_585 ),
inference(backward_demodulation,[],[f5641,f5579]) ).
fof(f5579,plain,
( sz00 = sK11(szNzAzT0,xK)
| ~ spl25_572 ),
inference(avatar_component_clause,[],[f5577]) ).
fof(f5641,plain,
( szszuzczcdt0(sK1(sK1(sK11(szNzAzT0,xK)))) != sK1(sK11(szNzAzT0,xK))
| spl25_585 ),
inference(avatar_component_clause,[],[f5640]) ).
fof(f5862,plain,
( ~ spl25_616
| ~ spl25_572
| spl25_580 ),
inference(avatar_split_clause,[],[f5838,f5616,f5577,f5859]) ).
fof(f5859,plain,
( spl25_616
<=> szmzizndt0(sdtlpdtrp0(xN,sK1(sz00))) = sdtlpdtrp0(xe,sK1(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_616])]) ).
fof(f5616,plain,
( spl25_580
<=> sdtlpdtrp0(xe,sK1(sK11(szNzAzT0,xK))) = szmzizndt0(sdtlpdtrp0(xN,sK1(sK11(szNzAzT0,xK)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_580])]) ).
fof(f5838,plain,
( szmzizndt0(sdtlpdtrp0(xN,sK1(sz00))) != sdtlpdtrp0(xe,sK1(sz00))
| ~ spl25_572
| spl25_580 ),
inference(backward_demodulation,[],[f5617,f5579]) ).
fof(f5617,plain,
( sdtlpdtrp0(xe,sK1(sK11(szNzAzT0,xK))) != szmzizndt0(sdtlpdtrp0(xN,sK1(sK11(szNzAzT0,xK))))
| spl25_580 ),
inference(avatar_component_clause,[],[f5616]) ).
fof(f5857,plain,
( ~ spl25_483
| ~ spl25_572
| spl25_576 ),
inference(avatar_split_clause,[],[f5835,f5597,f5577,f4548]) ).
fof(f5597,plain,
( spl25_576
<=> aElementOf0(sK11(szNzAzT0,sK11(szNzAzT0,xK)),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_576])]) ).
fof(f5835,plain,
( ~ aElementOf0(sK11(szNzAzT0,sz00),szNzAzT0)
| ~ spl25_572
| spl25_576 ),
inference(backward_demodulation,[],[f5598,f5579]) ).
fof(f5598,plain,
( ~ aElementOf0(sK11(szNzAzT0,sK11(szNzAzT0,xK)),szNzAzT0)
| spl25_576 ),
inference(avatar_component_clause,[],[f5597]) ).
fof(f5855,plain,
( ~ spl25_615
| ~ spl25_572
| spl25_583 ),
inference(avatar_split_clause,[],[f5839,f5631,f5577,f5852]) ).
fof(f5631,plain,
( spl25_583
<=> sz00 = szszuzczcdt0(sK11(szNzAzT0,xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_583])]) ).
fof(f5839,plain,
( sz00 != szszuzczcdt0(sz00)
| ~ spl25_572
| spl25_583 ),
inference(backward_demodulation,[],[f5632,f5579]) ).
fof(f5632,plain,
( sz00 != szszuzczcdt0(sK11(szNzAzT0,xK))
| spl25_583 ),
inference(avatar_component_clause,[],[f5631]) ).
fof(f5848,plain,
( ~ spl25_614
| spl25_571
| ~ spl25_572 ),
inference(avatar_split_clause,[],[f5833,f5577,f5573,f5845]) ).
fof(f5845,plain,
( spl25_614
<=> szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK1(sz00)),sK1(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_614])]) ).
fof(f5573,plain,
( spl25_571
<=> szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK1(sK11(szNzAzT0,xK))),sK1(sK11(szNzAzT0,xK))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_571])]) ).
fof(f5833,plain,
( szNzAzT0 != sdtpldt0(sdtmndt0(szNzAzT0,sK1(sz00)),sK1(sz00))
| spl25_571
| ~ spl25_572 ),
inference(backward_demodulation,[],[f5574,f5579]) ).
fof(f5574,plain,
( szNzAzT0 != sdtpldt0(sdtmndt0(szNzAzT0,sK1(sK11(szNzAzT0,xK))),sK1(sK11(szNzAzT0,xK)))
| spl25_571 ),
inference(avatar_component_clause,[],[f5573]) ).
fof(f5823,plain,
( spl25_612
| spl25_613
| ~ spl25_92
| ~ spl25_126
| ~ spl25_483 ),
inference(avatar_split_clause,[],[f5710,f4548,f1478,f1152,f5820,f5816]) ).
fof(f5816,plain,
( spl25_612
<=> sdtlseqdt0(xK,sK11(szNzAzT0,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_612])]) ).
fof(f5820,plain,
( spl25_613
<=> sdtlseqdt0(sK11(szNzAzT0,sz00),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_613])]) ).
fof(f5710,plain,
( sdtlseqdt0(sK11(szNzAzT0,sz00),sz00)
| sdtlseqdt0(xK,sK11(szNzAzT0,sz00))
| ~ spl25_92
| ~ spl25_126
| ~ spl25_483 ),
inference(resolution,[],[f4550,f1812]) ).
fof(f4550,plain,
( aElementOf0(sK11(szNzAzT0,sz00),szNzAzT0)
| ~ spl25_483 ),
inference(avatar_component_clause,[],[f4548]) ).
fof(f5814,plain,
( spl25_593
| spl25_611
| ~ spl25_483 ),
inference(avatar_split_clause,[],[f5701,f4548,f5811,f5722]) ).
fof(f5722,plain,
( spl25_593
<=> sz00 = sK11(szNzAzT0,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_593])]) ).
fof(f5811,plain,
( spl25_611
<=> szmzizndt0(sdtlpdtrp0(xN,sK1(sK11(szNzAzT0,sz00)))) = sdtlpdtrp0(xe,sK1(sK11(szNzAzT0,sz00))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_611])]) ).
fof(f5701,plain,
( szmzizndt0(sdtlpdtrp0(xN,sK1(sK11(szNzAzT0,sz00)))) = sdtlpdtrp0(xe,sK1(sK11(szNzAzT0,sz00)))
| sz00 = sK11(szNzAzT0,sz00)
| ~ spl25_483 ),
inference(resolution,[],[f4550,f1076]) ).
fof(f5809,plain,
( spl25_610
| ~ spl25_483 ),
inference(avatar_split_clause,[],[f5698,f4548,f5806]) ).
fof(f5806,plain,
( spl25_610
<=> sK11(szNzAzT0,sz00) = sbrdtbr0(slbdtrb0(sK11(szNzAzT0,sz00))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_610])]) ).
fof(f5698,plain,
( sK11(szNzAzT0,sz00) = sbrdtbr0(slbdtrb0(sK11(szNzAzT0,sz00)))
| ~ spl25_483 ),
inference(resolution,[],[f4550,f475]) ).
fof(f5804,plain,
( spl25_609
| ~ spl25_92
| ~ spl25_483 ),
inference(avatar_split_clause,[],[f5709,f4548,f1152,f5801]) ).
fof(f5801,plain,
( spl25_609
<=> slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,szszuzczcdt0(sK11(szNzAzT0,sz00))),sdtlpdtrp0(xe,szszuzczcdt0(sK11(szNzAzT0,sz00)))),sz00) = szDzozmdt0(sdtlpdtrp0(xC,szszuzczcdt0(sK11(szNzAzT0,sz00)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_609])]) ).
fof(f5709,plain,
( slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,szszuzczcdt0(sK11(szNzAzT0,sz00))),sdtlpdtrp0(xe,szszuzczcdt0(sK11(szNzAzT0,sz00)))),sz00) = szDzozmdt0(sdtlpdtrp0(xC,szszuzczcdt0(sK11(szNzAzT0,sz00))))
| ~ spl25_92
| ~ spl25_483 ),
inference(resolution,[],[f4550,f1793]) ).
fof(f5799,plain,
( spl25_593
| spl25_608
| ~ spl25_483 ),
inference(avatar_split_clause,[],[f5693,f4548,f5796,f5722]) ).
fof(f5796,plain,
( spl25_608
<=> sK11(szNzAzT0,sz00) = szszuzczcdt0(sK1(sK11(szNzAzT0,sz00))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_608])]) ).
fof(f5693,plain,
( sK11(szNzAzT0,sz00) = szszuzczcdt0(sK1(sK11(szNzAzT0,sz00)))
| sz00 = sK11(szNzAzT0,sz00)
| ~ spl25_483 ),
inference(resolution,[],[f4550,f348]) ).
fof(f5794,plain,
( ~ spl25_14
| spl25_603
| ~ spl25_483 ),
inference(avatar_split_clause,[],[f5713,f4548,f5770,f639]) ).
fof(f5770,plain,
( spl25_603
<=> aElement0(sK11(szNzAzT0,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_603])]) ).
fof(f5713,plain,
( aElement0(sK11(szNzAzT0,sz00))
| ~ aSet0(szNzAzT0)
| ~ spl25_483 ),
inference(resolution,[],[f4550,f473]) ).
fof(f5793,plain,
( spl25_607
| ~ spl25_483 ),
inference(avatar_split_clause,[],[f5700,f4548,f5790]) ).
fof(f5790,plain,
( spl25_607
<=> szmzizndt0(sdtlpdtrp0(xN,szszuzczcdt0(sK11(szNzAzT0,sz00)))) = sdtlpdtrp0(xe,szszuzczcdt0(sK11(szNzAzT0,sz00))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_607])]) ).
fof(f5700,plain,
( szmzizndt0(sdtlpdtrp0(xN,szszuzczcdt0(sK11(szNzAzT0,sz00)))) = sdtlpdtrp0(xe,szszuzczcdt0(sK11(szNzAzT0,sz00)))
| ~ spl25_483 ),
inference(resolution,[],[f4550,f922]) ).
fof(f5788,plain,
( spl25_606
| ~ spl25_110
| ~ spl25_483 ),
inference(avatar_split_clause,[],[f5707,f4548,f1368,f5785]) ).
fof(f5785,plain,
( spl25_606
<=> xT = sdtpldt0(sdtmndt0(xT,sK19(sK11(szNzAzT0,sz00))),sK19(sK11(szNzAzT0,sz00))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_606])]) ).
fof(f5707,plain,
( xT = sdtpldt0(sdtmndt0(xT,sK19(sK11(szNzAzT0,sz00))),sK19(sK11(szNzAzT0,sz00)))
| ~ spl25_110
| ~ spl25_483 ),
inference(resolution,[],[f4550,f1369]) ).
fof(f5783,plain,
( spl25_605
| spl25_593
| ~ spl25_109
| ~ spl25_483 ),
inference(avatar_split_clause,[],[f5706,f4548,f1364,f5722,f5780]) ).
fof(f5780,plain,
( spl25_605
<=> szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK1(sK11(szNzAzT0,sz00))),sK1(sK11(szNzAzT0,sz00))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_605])]) ).
fof(f5706,plain,
( sz00 = sK11(szNzAzT0,sz00)
| szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK1(sK11(szNzAzT0,sz00))),sK1(sK11(szNzAzT0,sz00)))
| ~ spl25_109
| ~ spl25_483 ),
inference(resolution,[],[f4550,f1365]) ).
fof(f5778,plain,
( spl25_604
| ~ spl25_107
| ~ spl25_483 ),
inference(avatar_split_clause,[],[f5705,f4548,f1355,f5775]) ).
fof(f5775,plain,
( spl25_604
<=> xT = sdtpldt0(sdtmndt0(xT,sK14(sK11(szNzAzT0,sz00))),sK14(sK11(szNzAzT0,sz00))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_604])]) ).
fof(f5705,plain,
( xT = sdtpldt0(sdtmndt0(xT,sK14(sK11(szNzAzT0,sz00))),sK14(sK11(szNzAzT0,sz00)))
| ~ spl25_107
| ~ spl25_483 ),
inference(resolution,[],[f4550,f1356]) ).
fof(f5773,plain,
( spl25_603
| ~ spl25_256
| ~ spl25_483 ),
inference(avatar_split_clause,[],[f5711,f4548,f2504,f5770]) ).
fof(f5711,plain,
( aElement0(sK11(szNzAzT0,sz00))
| ~ spl25_256
| ~ spl25_483 ),
inference(resolution,[],[f4550,f2505]) ).
fof(f5768,plain,
( spl25_85
| ~ spl25_245
| spl25_1
| ~ spl25_2
| ~ spl25_482
| ~ spl25_483 ),
inference(avatar_split_clause,[],[f5767,f4548,f4543,f580,f575,f2402,f1111]) ).
fof(f4543,plain,
( spl25_482
<=> xK = szmzizndt0(szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_482])]) ).
fof(f5767,plain,
( ~ aElementOf0(sz00,szNzAzT0)
| sz00 = xK
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| slcrc0 = szNzAzT0
| ~ spl25_482
| ~ spl25_483 ),
inference(forward_demodulation,[],[f5692,f4545]) ).
fof(f4545,plain,
( xK = szmzizndt0(szNzAzT0)
| ~ spl25_482 ),
inference(avatar_component_clause,[],[f4543]) ).
fof(f5692,plain,
( ~ aElementOf0(sz00,szNzAzT0)
| slcrc0 = szNzAzT0
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| sz00 = szmzizndt0(szNzAzT0)
| ~ spl25_483 ),
inference(resolution,[],[f4550,f2283]) ).
fof(f2283,plain,
! [X0] :
( ~ aElementOf0(sK11(X0,sz00),szNzAzT0)
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0
| ~ aElementOf0(sz00,X0)
| sz00 = szmzizndt0(X0) ),
inference(resolution,[],[f439,f355]) ).
fof(f355,plain,
! [X0] :
( sdtlseqdt0(sz00,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f170]) ).
fof(f170,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(sz00,X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sdtlseqdt0(sz00,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroLess) ).
fof(f5766,plain,
( spl25_602
| ~ spl25_14
| ~ spl25_483 ),
inference(avatar_split_clause,[],[f5714,f4548,f639,f5763]) ).
fof(f5763,plain,
( spl25_602
<=> szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK11(szNzAzT0,sz00)),sK11(szNzAzT0,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_602])]) ).
fof(f5714,plain,
( ~ aSet0(szNzAzT0)
| szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK11(szNzAzT0,sz00)),sK11(szNzAzT0,sz00))
| ~ spl25_483 ),
inference(resolution,[],[f4550,f410]) ).
fof(f5761,plain,
( spl25_600
| spl25_601
| ~ spl25_483 ),
inference(avatar_split_clause,[],[f5702,f4548,f5758,f5754]) ).
fof(f5754,plain,
( spl25_600
<=> szszuzczcdt0(sK1(szszuzczcdt0(sK11(szNzAzT0,sz00)))) = szszuzczcdt0(sK11(szNzAzT0,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_600])]) ).
fof(f5758,plain,
( spl25_601
<=> sz00 = szszuzczcdt0(sK11(szNzAzT0,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_601])]) ).
fof(f5702,plain,
( sz00 = szszuzczcdt0(sK11(szNzAzT0,sz00))
| szszuzczcdt0(sK1(szszuzczcdt0(sK11(szNzAzT0,sz00)))) = szszuzczcdt0(sK11(szNzAzT0,sz00))
| ~ spl25_483 ),
inference(resolution,[],[f4550,f1143]) ).
fof(f5752,plain,
( spl25_599
| ~ spl25_104
| ~ spl25_483 ),
inference(avatar_split_clause,[],[f5704,f4548,f1341,f5749]) ).
fof(f5749,plain,
( spl25_599
<=> szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,szszuzczcdt0(sK11(szNzAzT0,sz00))),szszuzczcdt0(sK11(szNzAzT0,sz00))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_599])]) ).
fof(f5704,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,szszuzczcdt0(sK11(szNzAzT0,sz00))),szszuzczcdt0(sK11(szNzAzT0,sz00)))
| ~ spl25_104
| ~ spl25_483 ),
inference(resolution,[],[f4550,f1342]) ).
fof(f5747,plain,
( spl25_598
| ~ spl25_483 ),
inference(avatar_split_clause,[],[f5694,f4548,f5744]) ).
fof(f5744,plain,
( spl25_598
<=> sdtlpdtrp0(xe,sK11(szNzAzT0,sz00)) = szmzizndt0(sdtlpdtrp0(xN,sK11(szNzAzT0,sz00))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_598])]) ).
fof(f5694,plain,
( sdtlpdtrp0(xe,sK11(szNzAzT0,sz00)) = szmzizndt0(sdtlpdtrp0(xN,sK11(szNzAzT0,sz00)))
| ~ spl25_483 ),
inference(resolution,[],[f4550,f357]) ).
fof(f5742,plain,
( spl25_596
| spl25_597
| ~ spl25_235
| ~ spl25_482
| ~ spl25_483 ),
inference(avatar_split_clause,[],[f5712,f4548,f4543,f2306,f5739,f5735]) ).
fof(f5735,plain,
( spl25_596
<=> xK = sK11(szNzAzT0,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_596])]) ).
fof(f5739,plain,
( spl25_597
<=> aElementOf0(sK11(szNzAzT0,sK11(szNzAzT0,sz00)),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_597])]) ).
fof(f2306,plain,
( spl25_235
<=> ! [X0] :
( aElementOf0(sK11(szNzAzT0,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| szmzizndt0(szNzAzT0) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_235])]) ).
fof(f5712,plain,
( aElementOf0(sK11(szNzAzT0,sK11(szNzAzT0,sz00)),szNzAzT0)
| xK = sK11(szNzAzT0,sz00)
| ~ spl25_235
| ~ spl25_482
| ~ spl25_483 ),
inference(resolution,[],[f4550,f4945]) ).
fof(f4945,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| xK = X0
| aElementOf0(sK11(szNzAzT0,X0),szNzAzT0) )
| ~ spl25_235
| ~ spl25_482 ),
inference(backward_demodulation,[],[f2307,f4545]) ).
fof(f2307,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| szmzizndt0(szNzAzT0) = X0
| aElementOf0(sK11(szNzAzT0,X0),szNzAzT0) )
| ~ spl25_235 ),
inference(avatar_component_clause,[],[f2306]) ).
fof(f5733,plain,
( spl25_593
| spl25_594
| spl25_595
| ~ spl25_483 ),
inference(avatar_split_clause,[],[f5703,f4548,f5730,f5726,f5722]) ).
fof(f5726,plain,
( spl25_594
<=> sz00 = sK1(sK11(szNzAzT0,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_594])]) ).
fof(f5730,plain,
( spl25_595
<=> sK1(sK11(szNzAzT0,sz00)) = szszuzczcdt0(sK1(sK1(sK11(szNzAzT0,sz00)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_595])]) ).
fof(f5703,plain,
( sK1(sK11(szNzAzT0,sz00)) = szszuzczcdt0(sK1(sK1(sK11(szNzAzT0,sz00))))
| sz00 = sK1(sK11(szNzAzT0,sz00))
| sz00 = sK11(szNzAzT0,sz00)
| ~ spl25_483 ),
inference(resolution,[],[f4550,f1146]) ).
fof(f5720,plain,
( spl25_592
| ~ spl25_92
| ~ spl25_483 ),
inference(avatar_split_clause,[],[f5708,f4548,f1152,f5717]) ).
fof(f5717,plain,
( spl25_592
<=> szDzozmdt0(sdtlpdtrp0(xC,sK11(szNzAzT0,sz00))) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK11(szNzAzT0,sz00)),sdtlpdtrp0(xe,sK11(szNzAzT0,sz00))),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_592])]) ).
fof(f5708,plain,
( szDzozmdt0(sdtlpdtrp0(xC,sK11(szNzAzT0,sz00))) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK11(szNzAzT0,sz00)),sdtlpdtrp0(xe,sK11(szNzAzT0,sz00))),sz00)
| ~ spl25_92
| ~ spl25_483 ),
inference(resolution,[],[f4550,f1784]) ).
fof(f5674,plain,
( ~ spl25_481
| ~ spl25_458
| spl25_480 ),
inference(avatar_split_clause,[],[f5673,f4534,f4325,f4539]) ).
fof(f4539,plain,
( spl25_481
<=> aElementOf0(sK11(szNzAzT0,xK),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_481])]) ).
fof(f4325,plain,
( spl25_458
<=> xK = sK6(xd) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_458])]) ).
fof(f4534,plain,
( spl25_480
<=> aElementOf0(sK11(szNzAzT0,sK6(xd)),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_480])]) ).
fof(f5673,plain,
( ~ aElementOf0(sK11(szNzAzT0,xK),szNzAzT0)
| ~ spl25_458
| spl25_480 ),
inference(forward_demodulation,[],[f4535,f4327]) ).
fof(f4327,plain,
( xK = sK6(xd)
| ~ spl25_458 ),
inference(avatar_component_clause,[],[f4325]) ).
fof(f4535,plain,
( ~ aElementOf0(sK11(szNzAzT0,sK6(xd)),szNzAzT0)
| spl25_480 ),
inference(avatar_component_clause,[],[f4534]) ).
fof(f5672,plain,
( spl25_581
| ~ spl25_256
| ~ spl25_481 ),
inference(avatar_split_clause,[],[f5562,f4539,f2504,f5621]) ).
fof(f5621,plain,
( spl25_581
<=> aElement0(sK11(szNzAzT0,xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_581])]) ).
fof(f5562,plain,
( aElement0(sK11(szNzAzT0,xK))
| ~ spl25_256
| ~ spl25_481 ),
inference(resolution,[],[f4541,f2505]) ).
fof(f4541,plain,
( aElementOf0(sK11(szNzAzT0,xK),szNzAzT0)
| ~ spl25_481 ),
inference(avatar_component_clause,[],[f4539]) ).
fof(f5671,plain,
( spl25_591
| ~ spl25_110
| ~ spl25_481 ),
inference(avatar_split_clause,[],[f5558,f4539,f1368,f5668]) ).
fof(f5668,plain,
( spl25_591
<=> xT = sdtpldt0(sdtmndt0(xT,sK19(sK11(szNzAzT0,xK))),sK19(sK11(szNzAzT0,xK))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_591])]) ).
fof(f5558,plain,
( xT = sdtpldt0(sdtmndt0(xT,sK19(sK11(szNzAzT0,xK))),sK19(sK11(szNzAzT0,xK)))
| ~ spl25_110
| ~ spl25_481 ),
inference(resolution,[],[f4541,f1369]) ).
fof(f5666,plain,
( spl25_589
| spl25_590
| ~ spl25_92
| ~ spl25_126
| ~ spl25_481 ),
inference(avatar_split_clause,[],[f5561,f4539,f1478,f1152,f5663,f5659]) ).
fof(f5659,plain,
( spl25_589
<=> sdtlseqdt0(xK,sK11(szNzAzT0,xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_589])]) ).
fof(f5663,plain,
( spl25_590
<=> sdtlseqdt0(sK11(szNzAzT0,xK),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_590])]) ).
fof(f5561,plain,
( sdtlseqdt0(sK11(szNzAzT0,xK),sz00)
| sdtlseqdt0(xK,sK11(szNzAzT0,xK))
| ~ spl25_92
| ~ spl25_126
| ~ spl25_481 ),
inference(resolution,[],[f4541,f1812]) ).
fof(f5657,plain,
( spl25_588
| ~ spl25_481 ),
inference(avatar_split_clause,[],[f5545,f4539,f5654]) ).
fof(f5654,plain,
( spl25_588
<=> szmzizndt0(sdtlpdtrp0(xN,sK11(szNzAzT0,xK))) = sdtlpdtrp0(xe,sK11(szNzAzT0,xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_588])]) ).
fof(f5545,plain,
( szmzizndt0(sdtlpdtrp0(xN,sK11(szNzAzT0,xK))) = sdtlpdtrp0(xe,sK11(szNzAzT0,xK))
| ~ spl25_481 ),
inference(resolution,[],[f4541,f357]) ).
fof(f5652,plain,
( spl25_587
| ~ spl25_107
| ~ spl25_481 ),
inference(avatar_split_clause,[],[f5556,f4539,f1355,f5649]) ).
fof(f5649,plain,
( spl25_587
<=> xT = sdtpldt0(sdtmndt0(xT,sK14(sK11(szNzAzT0,xK))),sK14(sK11(szNzAzT0,xK))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_587])]) ).
fof(f5556,plain,
( xT = sdtpldt0(sdtmndt0(xT,sK14(sK11(szNzAzT0,xK))),sK14(sK11(szNzAzT0,xK)))
| ~ spl25_107
| ~ spl25_481 ),
inference(resolution,[],[f4541,f1356]) ).
fof(f5647,plain,
( spl25_572
| spl25_585
| spl25_586
| ~ spl25_481 ),
inference(avatar_split_clause,[],[f5554,f4539,f5644,f5640,f5577]) ).
fof(f5644,plain,
( spl25_586
<=> sz00 = sK1(sK11(szNzAzT0,xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_586])]) ).
fof(f5554,plain,
( sz00 = sK1(sK11(szNzAzT0,xK))
| szszuzczcdt0(sK1(sK1(sK11(szNzAzT0,xK)))) = sK1(sK11(szNzAzT0,xK))
| sz00 = sK11(szNzAzT0,xK)
| ~ spl25_481 ),
inference(resolution,[],[f4541,f1146]) ).
fof(f5638,plain,
( spl25_583
| spl25_584
| ~ spl25_481 ),
inference(avatar_split_clause,[],[f5553,f4539,f5635,f5631]) ).
fof(f5635,plain,
( spl25_584
<=> szszuzczcdt0(sK11(szNzAzT0,xK)) = szszuzczcdt0(sK1(szszuzczcdt0(sK11(szNzAzT0,xK)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_584])]) ).
fof(f5553,plain,
( szszuzczcdt0(sK11(szNzAzT0,xK)) = szszuzczcdt0(sK1(szszuzczcdt0(sK11(szNzAzT0,xK))))
| sz00 = szszuzczcdt0(sK11(szNzAzT0,xK))
| ~ spl25_481 ),
inference(resolution,[],[f4541,f1143]) ).
fof(f5629,plain,
( ~ spl25_14
| spl25_582
| ~ spl25_481 ),
inference(avatar_split_clause,[],[f5565,f4539,f5626,f639]) ).
fof(f5626,plain,
( spl25_582
<=> szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK11(szNzAzT0,xK)),sK11(szNzAzT0,xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_582])]) ).
fof(f5565,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK11(szNzAzT0,xK)),sK11(szNzAzT0,xK))
| ~ aSet0(szNzAzT0)
| ~ spl25_481 ),
inference(resolution,[],[f4541,f410]) ).
fof(f5624,plain,
( ~ spl25_14
| spl25_581
| ~ spl25_481 ),
inference(avatar_split_clause,[],[f5564,f4539,f5621,f639]) ).
fof(f5564,plain,
( aElement0(sK11(szNzAzT0,xK))
| ~ aSet0(szNzAzT0)
| ~ spl25_481 ),
inference(resolution,[],[f4541,f473]) ).
fof(f5619,plain,
( spl25_580
| spl25_572
| ~ spl25_481 ),
inference(avatar_split_clause,[],[f5552,f4539,f5577,f5616]) ).
fof(f5552,plain,
( sz00 = sK11(szNzAzT0,xK)
| sdtlpdtrp0(xe,sK1(sK11(szNzAzT0,xK))) = szmzizndt0(sdtlpdtrp0(xN,sK1(sK11(szNzAzT0,xK))))
| ~ spl25_481 ),
inference(resolution,[],[f4541,f1076]) ).
fof(f5614,plain,
( spl25_579
| ~ spl25_92
| ~ spl25_481 ),
inference(avatar_split_clause,[],[f5559,f4539,f1152,f5611]) ).
fof(f5611,plain,
( spl25_579
<=> szDzozmdt0(sdtlpdtrp0(xC,sK11(szNzAzT0,xK))) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK11(szNzAzT0,xK)),sdtlpdtrp0(xe,sK11(szNzAzT0,xK))),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_579])]) ).
fof(f5559,plain,
( szDzozmdt0(sdtlpdtrp0(xC,sK11(szNzAzT0,xK))) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK11(szNzAzT0,xK)),sdtlpdtrp0(xe,sK11(szNzAzT0,xK))),sz00)
| ~ spl25_92
| ~ spl25_481 ),
inference(resolution,[],[f4541,f1784]) ).
fof(f5609,plain,
( spl25_578
| ~ spl25_481 ),
inference(avatar_split_clause,[],[f5549,f4539,f5606]) ).
fof(f5606,plain,
( spl25_578
<=> sK11(szNzAzT0,xK) = sbrdtbr0(slbdtrb0(sK11(szNzAzT0,xK))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_578])]) ).
fof(f5549,plain,
( sK11(szNzAzT0,xK) = sbrdtbr0(slbdtrb0(sK11(szNzAzT0,xK)))
| ~ spl25_481 ),
inference(resolution,[],[f4541,f475]) ).
fof(f5604,plain,
( spl25_576
| spl25_577
| ~ spl25_235
| ~ spl25_481
| ~ spl25_482 ),
inference(avatar_split_clause,[],[f5563,f4543,f4539,f2306,f5601,f5597]) ).
fof(f5601,plain,
( spl25_577
<=> xK = sK11(szNzAzT0,xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_577])]) ).
fof(f5563,plain,
( xK = sK11(szNzAzT0,xK)
| aElementOf0(sK11(szNzAzT0,sK11(szNzAzT0,xK)),szNzAzT0)
| ~ spl25_235
| ~ spl25_481
| ~ spl25_482 ),
inference(resolution,[],[f4541,f4945]) ).
fof(f5595,plain,
( spl25_575
| spl25_572
| ~ spl25_481 ),
inference(avatar_split_clause,[],[f5544,f4539,f5577,f5592]) ).
fof(f5592,plain,
( spl25_575
<=> sK11(szNzAzT0,xK) = szszuzczcdt0(sK1(sK11(szNzAzT0,xK))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_575])]) ).
fof(f5544,plain,
( sz00 = sK11(szNzAzT0,xK)
| sK11(szNzAzT0,xK) = szszuzczcdt0(sK1(sK11(szNzAzT0,xK)))
| ~ spl25_481 ),
inference(resolution,[],[f4541,f348]) ).
fof(f5590,plain,
( spl25_574
| ~ spl25_481 ),
inference(avatar_split_clause,[],[f5551,f4539,f5587]) ).
fof(f5587,plain,
( spl25_574
<=> sdtlpdtrp0(xe,szszuzczcdt0(sK11(szNzAzT0,xK))) = szmzizndt0(sdtlpdtrp0(xN,szszuzczcdt0(sK11(szNzAzT0,xK)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_574])]) ).
fof(f5551,plain,
( sdtlpdtrp0(xe,szszuzczcdt0(sK11(szNzAzT0,xK))) = szmzizndt0(sdtlpdtrp0(xN,szszuzczcdt0(sK11(szNzAzT0,xK))))
| ~ spl25_481 ),
inference(resolution,[],[f4541,f922]) ).
fof(f5585,plain,
( spl25_573
| ~ spl25_92
| ~ spl25_481 ),
inference(avatar_split_clause,[],[f5560,f4539,f1152,f5582]) ).
fof(f5582,plain,
( spl25_573
<=> szDzozmdt0(sdtlpdtrp0(xC,szszuzczcdt0(sK11(szNzAzT0,xK)))) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,szszuzczcdt0(sK11(szNzAzT0,xK))),sdtlpdtrp0(xe,szszuzczcdt0(sK11(szNzAzT0,xK)))),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_573])]) ).
fof(f5560,plain,
( szDzozmdt0(sdtlpdtrp0(xC,szszuzczcdt0(sK11(szNzAzT0,xK)))) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,szszuzczcdt0(sK11(szNzAzT0,xK))),sdtlpdtrp0(xe,szszuzczcdt0(sK11(szNzAzT0,xK)))),sz00)
| ~ spl25_92
| ~ spl25_481 ),
inference(resolution,[],[f4541,f1793]) ).
fof(f5580,plain,
( spl25_571
| spl25_572
| ~ spl25_109
| ~ spl25_481 ),
inference(avatar_split_clause,[],[f5557,f4539,f1364,f5577,f5573]) ).
fof(f5557,plain,
( sz00 = sK11(szNzAzT0,xK)
| szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK1(sK11(szNzAzT0,xK))),sK1(sK11(szNzAzT0,xK)))
| ~ spl25_109
| ~ spl25_481 ),
inference(resolution,[],[f4541,f1365]) ).
fof(f5571,plain,
( spl25_570
| ~ spl25_104
| ~ spl25_481 ),
inference(avatar_split_clause,[],[f5555,f4539,f1341,f5568]) ).
fof(f5568,plain,
( spl25_570
<=> szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,szszuzczcdt0(sK11(szNzAzT0,xK))),szszuzczcdt0(sK11(szNzAzT0,xK))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_570])]) ).
fof(f5555,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,szszuzczcdt0(sK11(szNzAzT0,xK))),szszuzczcdt0(sK11(szNzAzT0,xK)))
| ~ spl25_104
| ~ spl25_481 ),
inference(resolution,[],[f4541,f1342]) ).
fof(f5543,plain,
( spl25_569
| spl25_469
| ~ spl25_398 ),
inference(avatar_split_clause,[],[f5534,f3854,f4419,f5540]) ).
fof(f5540,plain,
( spl25_569
<=> aElementOf0(sK13(szDzozmdt0(sdtlpdtrp0(xC,sz00))),szDzozmdt0(sdtlpdtrp0(xC,sz00))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_569])]) ).
fof(f4419,plain,
( spl25_469
<=> slcrc0 = szDzozmdt0(sdtlpdtrp0(xC,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_469])]) ).
fof(f5534,plain,
( slcrc0 = szDzozmdt0(sdtlpdtrp0(xC,sz00))
| aElementOf0(sK13(szDzozmdt0(sdtlpdtrp0(xC,sz00))),szDzozmdt0(sdtlpdtrp0(xC,sz00)))
| ~ spl25_398 ),
inference(resolution,[],[f3856,f462]) ).
fof(f5508,plain,
( spl25_568
| ~ spl25_564
| ~ spl25_566 ),
inference(avatar_split_clause,[],[f5490,f5483,f5466,f5505]) ).
fof(f5505,plain,
( spl25_568
<=> slcrc0 = sdtpldt0(sdtmndt0(slcrc0,sz00),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_568])]) ).
fof(f5466,plain,
( spl25_564
<=> sdtpldt0(sdtmndt0(sdtlbdtrb0(xN,xS),sz00),sz00) = sdtlbdtrb0(xN,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_564])]) ).
fof(f5483,plain,
( spl25_566
<=> slcrc0 = sdtlbdtrb0(xN,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_566])]) ).
fof(f5490,plain,
( slcrc0 = sdtpldt0(sdtmndt0(slcrc0,sz00),sz00)
| ~ spl25_564
| ~ spl25_566 ),
inference(backward_demodulation,[],[f5468,f5485]) ).
fof(f5485,plain,
( slcrc0 = sdtlbdtrb0(xN,xS)
| ~ spl25_566 ),
inference(avatar_component_clause,[],[f5483]) ).
fof(f5468,plain,
( sdtpldt0(sdtmndt0(sdtlbdtrb0(xN,xS),sz00),sz00) = sdtlbdtrb0(xN,xS)
| ~ spl25_564 ),
inference(avatar_component_clause,[],[f5466]) ).
fof(f5500,plain,
( spl25_567
| ~ spl25_222
| ~ spl25_566 ),
inference(avatar_split_clause,[],[f5487,f5483,f2219,f5497]) ).
fof(f5497,plain,
( spl25_567
<=> aElementOf0(sz00,slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_567])]) ).
fof(f2219,plain,
( spl25_222
<=> aElementOf0(sz00,sdtlbdtrb0(xN,xS)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_222])]) ).
fof(f5487,plain,
( aElementOf0(sz00,slcrc0)
| ~ spl25_222
| ~ spl25_566 ),
inference(backward_demodulation,[],[f2221,f5485]) ).
fof(f2221,plain,
( aElementOf0(sz00,sdtlbdtrb0(xN,xS))
| ~ spl25_222 ),
inference(avatar_component_clause,[],[f2219]) ).
fof(f5486,plain,
( spl25_565
| spl25_566
| ~ spl25_563 ),
inference(avatar_split_clause,[],[f5473,f5462,f5483,f5479]) ).
fof(f5479,plain,
( spl25_565
<=> aElementOf0(sK13(sdtlbdtrb0(xN,xS)),sdtlbdtrb0(xN,xS)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_565])]) ).
fof(f5473,plain,
( slcrc0 = sdtlbdtrb0(xN,xS)
| aElementOf0(sK13(sdtlbdtrb0(xN,xS)),sdtlbdtrb0(xN,xS))
| ~ spl25_563 ),
inference(resolution,[],[f5463,f462]) ).
fof(f5472,plain,
( ~ spl25_24
| ~ spl25_223
| spl25_563 ),
inference(avatar_split_clause,[],[f5471,f5462,f2223,f693]) ).
fof(f5471,plain,
( ~ aElement0(xS)
| ~ aFunction0(xN)
| spl25_563 ),
inference(resolution,[],[f5464,f529]) ).
fof(f5464,plain,
( ~ aSet0(sdtlbdtrb0(xN,xS))
| spl25_563 ),
inference(avatar_component_clause,[],[f5462]) ).
fof(f5469,plain,
( ~ spl25_563
| spl25_564
| ~ spl25_222 ),
inference(avatar_split_clause,[],[f5459,f2219,f5466,f5462]) ).
fof(f5459,plain,
( sdtpldt0(sdtmndt0(sdtlbdtrb0(xN,xS),sz00),sz00) = sdtlbdtrb0(xN,xS)
| ~ aSet0(sdtlbdtrb0(xN,xS))
| ~ spl25_222 ),
inference(resolution,[],[f2221,f410]) ).
fof(f5444,plain,
( spl25_562
| ~ spl25_245
| ~ spl25_24
| ~ spl25_3
| ~ spl25_368 ),
inference(avatar_split_clause,[],[f5439,f3562,f585,f693,f2402,f5441]) ).
fof(f5441,plain,
( spl25_562
<=> xS = sdtlpdtrp0(xN,sK22(xN,szNzAzT0,xS)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_562])]) ).
fof(f3562,plain,
( spl25_368
<=> aElementOf0(xS,sdtlcdtrc0(xN,szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_368])]) ).
fof(f5439,plain,
( ~ aFunction0(xN)
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| xS = sdtlpdtrp0(xN,sK22(xN,szNzAzT0,xS))
| ~ spl25_3
| ~ spl25_368 ),
inference(forward_demodulation,[],[f5422,f587]) ).
fof(f5422,plain,
( xS = sdtlpdtrp0(xN,sK22(xN,szNzAzT0,xS))
| ~ aSubsetOf0(szNzAzT0,szDzozmdt0(xN))
| ~ aFunction0(xN)
| ~ spl25_368 ),
inference(resolution,[],[f3564,f570]) ).
fof(f3564,plain,
( aElementOf0(xS,sdtlcdtrc0(xN,szNzAzT0))
| ~ spl25_368 ),
inference(avatar_component_clause,[],[f3562]) ).
fof(f5438,plain,
( spl25_561
| ~ spl25_245
| ~ spl25_24
| ~ spl25_3
| ~ spl25_368 ),
inference(avatar_split_clause,[],[f5433,f3562,f585,f693,f2402,f5435]) ).
fof(f5435,plain,
( spl25_561
<=> aElementOf0(sK22(xN,szNzAzT0,xS),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_561])]) ).
fof(f5433,plain,
( ~ aFunction0(xN)
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| aElementOf0(sK22(xN,szNzAzT0,xS),szNzAzT0)
| ~ spl25_3
| ~ spl25_368 ),
inference(forward_demodulation,[],[f5423,f587]) ).
fof(f5423,plain,
( aElementOf0(sK22(xN,szNzAzT0,xS),szNzAzT0)
| ~ aSubsetOf0(szNzAzT0,szDzozmdt0(xN))
| ~ aFunction0(xN)
| ~ spl25_368 ),
inference(resolution,[],[f3564,f571]) ).
fof(f5432,plain,
( spl25_560
| ~ spl25_369
| ~ spl25_368 ),
inference(avatar_split_clause,[],[f5425,f3562,f3567,f5429]) ).
fof(f5429,plain,
( spl25_560
<=> sdtpldt0(sdtmndt0(sdtlcdtrc0(xN,szNzAzT0),xS),xS) = sdtlcdtrc0(xN,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_560])]) ).
fof(f5425,plain,
( ~ aSet0(sdtlcdtrc0(xN,szNzAzT0))
| sdtpldt0(sdtmndt0(sdtlcdtrc0(xN,szNzAzT0),xS),xS) = sdtlcdtrc0(xN,szNzAzT0)
| ~ spl25_368 ),
inference(resolution,[],[f3564,f410]) ).
fof(f5427,plain,
( spl25_223
| ~ spl25_369
| ~ spl25_368 ),
inference(avatar_split_clause,[],[f5424,f3562,f3567,f2223]) ).
fof(f5424,plain,
( ~ aSet0(sdtlcdtrc0(xN,szNzAzT0))
| aElement0(xS)
| ~ spl25_368 ),
inference(resolution,[],[f3564,f473]) ).
fof(f5414,plain,
( spl25_558
| spl25_559
| ~ spl25_328 ),
inference(avatar_split_clause,[],[f5401,f3105,f5411,f5407]) ).
fof(f5407,plain,
( spl25_558
<=> slcrc0 = sdtmndt0(slcrc0,szDzizrdt0(xd)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_558])]) ).
fof(f5411,plain,
( spl25_559
<=> aElementOf0(sK13(sdtmndt0(slcrc0,szDzizrdt0(xd))),sdtmndt0(slcrc0,szDzizrdt0(xd))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_559])]) ).
fof(f5401,plain,
( aElementOf0(sK13(sdtmndt0(slcrc0,szDzizrdt0(xd))),sdtmndt0(slcrc0,szDzizrdt0(xd)))
| slcrc0 = sdtmndt0(slcrc0,szDzizrdt0(xd))
| ~ spl25_328 ),
inference(resolution,[],[f3106,f462]) ).
fof(f5394,plain,
( spl25_557
| ~ spl25_92
| ~ spl25_456 ),
inference(avatar_split_clause,[],[f5384,f4316,f1152,f5391]) ).
fof(f5391,plain,
( spl25_557
<=> slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,szszuzczcdt0(szszuzczcdt0(xK))),sdtlpdtrp0(xe,szszuzczcdt0(szszuzczcdt0(xK)))),sz00) = szDzozmdt0(sdtlpdtrp0(xC,szszuzczcdt0(szszuzczcdt0(xK)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_557])]) ).
fof(f5384,plain,
( slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,szszuzczcdt0(szszuzczcdt0(xK))),sdtlpdtrp0(xe,szszuzczcdt0(szszuzczcdt0(xK)))),sz00) = szDzozmdt0(sdtlpdtrp0(xC,szszuzczcdt0(szszuzczcdt0(xK))))
| ~ spl25_92
| ~ spl25_456 ),
inference(resolution,[],[f1793,f4317]) ).
fof(f5375,plain,
( ~ spl25_121
| ~ spl25_7
| spl25_328 ),
inference(avatar_split_clause,[],[f5374,f3105,f605,f1452]) ).
fof(f5374,plain,
( ~ aSet0(slcrc0)
| ~ aElement0(szDzizrdt0(xd))
| spl25_328 ),
inference(resolution,[],[f3107,f548]) ).
fof(f3107,plain,
( ~ aSet0(sdtmndt0(slcrc0,szDzizrdt0(xd)))
| spl25_328 ),
inference(avatar_component_clause,[],[f3105]) ).
fof(f5361,plain,
( spl25_556
| ~ spl25_6
| spl25_211
| ~ spl25_14
| ~ spl25_24
| ~ spl25_3 ),
inference(avatar_split_clause,[],[f5342,f585,f693,f639,f2161,f600,f5358]) ).
fof(f5358,plain,
( spl25_556
<=> isCountable0(sdtlcdtrc0(xN,szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_556])]) ).
fof(f2161,plain,
( spl25_211
<=> aElementOf0(sK7(xN),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_211])]) ).
fof(f5342,plain,
( ~ aFunction0(xN)
| ~ aSet0(szNzAzT0)
| aElementOf0(sK7(xN),szNzAzT0)
| ~ isCountable0(szNzAzT0)
| isCountable0(sdtlcdtrc0(xN,szNzAzT0))
| ~ spl25_3 ),
inference(superposition,[],[f2147,f587]) ).
fof(f2147,plain,
! [X0] :
( isCountable0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| aElementOf0(sK7(X0),szDzozmdt0(X0))
| ~ aFunction0(X0)
| ~ isCountable0(szDzozmdt0(X0))
| ~ aSet0(szDzozmdt0(X0)) ),
inference(resolution,[],[f396,f484]) ).
fof(f396,plain,
! [X0,X1] :
( ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ isCountable0(X1)
| ~ aFunction0(X0)
| isCountable0(sdtlcdtrc0(X0,X1))
| aElementOf0(sK7(X0),szDzozmdt0(X0)) ),
inference(cnf_transformation,[],[f266]) ).
fof(f5356,plain,
( spl25_555
| ~ spl25_6
| ~ spl25_33
| spl25_214
| ~ spl25_14
| ~ spl25_13 ),
inference(avatar_split_clause,[],[f5344,f634,f639,f2172,f741,f600,f5353]) ).
fof(f5353,plain,
( spl25_555
<=> isCountable0(sdtlcdtrc0(xe,szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_555])]) ).
fof(f2172,plain,
( spl25_214
<=> aElementOf0(sK7(xe),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_214])]) ).
fof(f5344,plain,
( ~ aSet0(szNzAzT0)
| aElementOf0(sK7(xe),szNzAzT0)
| ~ aFunction0(xe)
| ~ isCountable0(szNzAzT0)
| isCountable0(sdtlcdtrc0(xe,szNzAzT0))
| ~ spl25_13 ),
inference(superposition,[],[f2147,f636]) ).
fof(f5350,plain,
( spl25_215
| ~ spl25_6
| ~ spl25_31
| ~ spl25_14
| spl25_554
| ~ spl25_17 ),
inference(avatar_split_clause,[],[f5343,f654,f5347,f639,f729,f600,f2177]) ).
fof(f2177,plain,
( spl25_215
<=> aElementOf0(sK7(xC),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_215])]) ).
fof(f5347,plain,
( spl25_554
<=> isCountable0(sdtlcdtrc0(xC,szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_554])]) ).
fof(f5343,plain,
( isCountable0(sdtlcdtrc0(xC,szNzAzT0))
| ~ aSet0(szNzAzT0)
| ~ aFunction0(xC)
| ~ isCountable0(szNzAzT0)
| aElementOf0(sK7(xC),szNzAzT0)
| ~ spl25_17 ),
inference(superposition,[],[f2147,f656]) ).
fof(f5341,plain,
( ~ spl25_29
| spl25_553
| ~ spl25_92
| ~ spl25_144 ),
inference(avatar_split_clause,[],[f5336,f1572,f1152,f5339,f718]) ).
fof(f5339,plain,
( spl25_553
<=> ! [X8] :
( ~ sdtlseqdt0(X8,sz00)
| ~ sdtlseqdt0(xK,szszuzczcdt0(X8))
| ~ aElementOf0(X8,szNzAzT0)
| xK = szszuzczcdt0(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_553])]) ).
fof(f5336,plain,
( ! [X8] :
( ~ sdtlseqdt0(X8,sz00)
| ~ aElementOf0(xK,szNzAzT0)
| xK = szszuzczcdt0(X8)
| ~ aElementOf0(X8,szNzAzT0)
| ~ sdtlseqdt0(xK,szszuzczcdt0(X8)) )
| ~ spl25_92
| ~ spl25_144 ),
inference(duplicate_literal_removal,[],[f5332]) ).
fof(f5332,plain,
( ! [X8] :
( ~ sdtlseqdt0(X8,sz00)
| ~ sdtlseqdt0(xK,szszuzczcdt0(X8))
| ~ aElementOf0(X8,szNzAzT0)
| ~ aElementOf0(xK,szNzAzT0)
| ~ aElementOf0(X8,szNzAzT0)
| xK = szszuzczcdt0(X8) )
| ~ spl25_92
| ~ spl25_144 ),
inference(resolution,[],[f1642,f1821]) ).
fof(f1642,plain,
! [X2,X1] :
( ~ sdtlseqdt0(szszuzczcdt0(X1),X2)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(X2,szszuzczcdt0(X1))
| szszuzczcdt0(X1) = X2
| ~ aElementOf0(X2,szNzAzT0) ),
inference(resolution,[],[f477,f346]) ).
fof(f477,plain,
! [X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| X0 = X1
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(X0,X1) ),
inference(flattening,[],[f145]) ).
fof(f145,plain,
! [X1,X0] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X1,X0] :
( ( aElementOf0(X0,szNzAzT0)
& aElementOf0(X1,szNzAzT0) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(X1,X0) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessASymm) ).
fof(f5307,plain,
( spl25_551
| spl25_552
| spl25_497
| ~ spl25_456 ),
inference(avatar_split_clause,[],[f5284,f4316,f4702,f5304,f5300]) ).
fof(f5300,plain,
( spl25_551
<=> sz00 = sK1(szszuzczcdt0(xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_551])]) ).
fof(f5304,plain,
( spl25_552
<=> sK1(szszuzczcdt0(xK)) = szszuzczcdt0(sK1(sK1(szszuzczcdt0(xK)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_552])]) ).
fof(f5284,plain,
( sz00 = szszuzczcdt0(xK)
| sK1(szszuzczcdt0(xK)) = szszuzczcdt0(sK1(sK1(szszuzczcdt0(xK))))
| sz00 = sK1(szszuzczcdt0(xK))
| ~ spl25_456 ),
inference(resolution,[],[f1146,f4317]) ).
fof(f5298,plain,
( spl25_406
| spl25_549
| spl25_550
| ~ spl25_311 ),
inference(avatar_split_clause,[],[f5288,f2983,f5295,f5291,f3913]) ).
fof(f5291,plain,
( spl25_549
<=> sK1(sK13(szNzAzT0)) = szszuzczcdt0(sK1(sK1(sK13(szNzAzT0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_549])]) ).
fof(f5295,plain,
( spl25_550
<=> sz00 = sK1(sK13(szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_550])]) ).
fof(f5288,plain,
( sz00 = sK1(sK13(szNzAzT0))
| sK1(sK13(szNzAzT0)) = szszuzczcdt0(sK1(sK1(sK13(szNzAzT0))))
| sz00 = sK13(szNzAzT0)
| ~ spl25_311 ),
inference(resolution,[],[f1146,f2985]) ).
fof(f5275,plain,
( spl25_547
| spl25_548
| ~ spl25_300 ),
inference(avatar_split_clause,[],[f5262,f2887,f5272,f5268]) ).
fof(f5268,plain,
( spl25_547
<=> slcrc0 = sdtmndt0(xT,szDzizrdt0(xd)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_547])]) ).
fof(f5272,plain,
( spl25_548
<=> aElementOf0(sK13(sdtmndt0(xT,szDzizrdt0(xd))),sdtmndt0(xT,szDzizrdt0(xd))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_548])]) ).
fof(f5262,plain,
( aElementOf0(sK13(sdtmndt0(xT,szDzizrdt0(xd))),sdtmndt0(xT,szDzizrdt0(xd)))
| slcrc0 = sdtmndt0(xT,szDzizrdt0(xd))
| ~ spl25_300 ),
inference(resolution,[],[f2888,f462]) ).
fof(f5254,plain,
( ~ spl25_34
| ~ spl25_121
| spl25_300 ),
inference(avatar_split_clause,[],[f5253,f2887,f1452,f746]) ).
fof(f5253,plain,
( ~ aElement0(szDzizrdt0(xd))
| ~ aSet0(xT)
| spl25_300 ),
inference(resolution,[],[f2889,f548]) ).
fof(f2889,plain,
( ~ aSet0(sdtmndt0(xT,szDzizrdt0(xd)))
| spl25_300 ),
inference(avatar_component_clause,[],[f2887]) ).
fof(f5244,plain,
( ~ spl25_546
| ~ spl25_533
| ~ spl25_535 ),
inference(avatar_split_clause,[],[f5230,f5109,f5102,f5241]) ).
fof(f5241,plain,
( spl25_546
<=> isCountable0(slbdtrb0(xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_546])]) ).
fof(f5109,plain,
( spl25_535
<=> isFinite0(slbdtrb0(xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_535])]) ).
fof(f5230,plain,
( ~ aSet0(slbdtrb0(xK))
| ~ isCountable0(slbdtrb0(xK))
| ~ spl25_535 ),
inference(resolution,[],[f5110,f342]) ).
fof(f5110,plain,
( isFinite0(slbdtrb0(xK))
| ~ spl25_535 ),
inference(avatar_component_clause,[],[f5109]) ).
fof(f5239,plain,
( ~ spl25_533
| spl25_545
| ~ spl25_535 ),
inference(avatar_split_clause,[],[f5229,f5109,f5237,f5102]) ).
fof(f5237,plain,
( spl25_545
<=> ! [X1] :
( ~ aSubsetOf0(X1,slbdtrb0(xK))
| isFinite0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_545])]) ).
fof(f5229,plain,
( ! [X1] :
( ~ aSubsetOf0(X1,slbdtrb0(xK))
| ~ aSet0(slbdtrb0(xK))
| isFinite0(X1) )
| ~ spl25_535 ),
inference(resolution,[],[f5110,f468]) ).
fof(f5235,plain,
( spl25_544
| ~ spl25_533
| ~ spl25_273
| ~ spl25_535 ),
inference(avatar_split_clause,[],[f5231,f5109,f2697,f5102,f5233]) ).
fof(f5233,plain,
( spl25_544
<=> ! [X0] :
( ~ aElementOf0(X0,slbdtrb0(xK))
| xK = szszuzczcdt0(sbrdtbr0(sdtmndt0(slbdtrb0(xK),X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_544])]) ).
fof(f5231,plain,
( ! [X0] :
( ~ aSet0(slbdtrb0(xK))
| ~ aElementOf0(X0,slbdtrb0(xK))
| xK = szszuzczcdt0(sbrdtbr0(sdtmndt0(slbdtrb0(xK),X0))) )
| ~ spl25_273
| ~ spl25_535 ),
inference(forward_demodulation,[],[f5228,f2699]) ).
fof(f5228,plain,
( ! [X0] :
( ~ aSet0(slbdtrb0(xK))
| ~ aElementOf0(X0,slbdtrb0(xK))
| sbrdtbr0(slbdtrb0(xK)) = szszuzczcdt0(sbrdtbr0(sdtmndt0(slbdtrb0(xK),X0))) )
| ~ spl25_535 ),
inference(resolution,[],[f5110,f438]) ).
fof(f438,plain,
! [X0,X1] :
( ~ isFinite0(X0)
| sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f181]) ).
fof(f181,plain,
! [X0] :
( ! [X1] :
( ~ isFinite0(X0)
| sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(flattening,[],[f180]) ).
fof(f180,plain,
! [X0] :
( ! [X1] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))
| ~ isFinite0(X0)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( ( isFinite0(X0)
& aElementOf0(X1,X0) )
=> sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardDiff) ).
fof(f5227,plain,
( ~ spl25_29
| spl25_535 ),
inference(avatar_split_clause,[],[f5226,f5109,f718]) ).
fof(f5226,plain,
( ~ aElementOf0(xK,szNzAzT0)
| spl25_535 ),
inference(resolution,[],[f5111,f415]) ).
fof(f415,plain,
! [X0] :
( isFinite0(slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f219]) ).
fof(f219,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| isFinite0(slbdtrb0(X0)) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> isFinite0(slbdtrb0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSegFin) ).
fof(f5111,plain,
( ~ isFinite0(slbdtrb0(xK))
| spl25_535 ),
inference(avatar_component_clause,[],[f5109]) ).
fof(f5197,plain,
( spl25_406
| spl25_543
| ~ spl25_311 ),
inference(avatar_split_clause,[],[f5186,f2983,f5194,f3913]) ).
fof(f5194,plain,
( spl25_543
<=> szmzizndt0(sdtlpdtrp0(xN,sK1(sK13(szNzAzT0)))) = sdtlpdtrp0(xe,sK1(sK13(szNzAzT0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_543])]) ).
fof(f5186,plain,
( szmzizndt0(sdtlpdtrp0(xN,sK1(sK13(szNzAzT0)))) = sdtlpdtrp0(xe,sK1(sK13(szNzAzT0)))
| sz00 = sK13(szNzAzT0)
| ~ spl25_311 ),
inference(resolution,[],[f1076,f2985]) ).
fof(f5192,plain,
( spl25_542
| spl25_497
| ~ spl25_456 ),
inference(avatar_split_clause,[],[f5182,f4316,f4702,f5189]) ).
fof(f5189,plain,
( spl25_542
<=> sdtlpdtrp0(xe,sK1(szszuzczcdt0(xK))) = szmzizndt0(sdtlpdtrp0(xN,sK1(szszuzczcdt0(xK)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_542])]) ).
fof(f5182,plain,
( sz00 = szszuzczcdt0(xK)
| sdtlpdtrp0(xe,sK1(szszuzczcdt0(xK))) = szmzizndt0(sdtlpdtrp0(xN,sK1(szszuzczcdt0(xK))))
| ~ spl25_456 ),
inference(resolution,[],[f1076,f4317]) ).
fof(f5179,plain,
( spl25_540
| spl25_541
| ~ spl25_533 ),
inference(avatar_split_clause,[],[f5166,f5102,f5176,f5172]) ).
fof(f5172,plain,
( spl25_540
<=> slcrc0 = slbdtrb0(xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_540])]) ).
fof(f5176,plain,
( spl25_541
<=> aElementOf0(sK13(slbdtrb0(xK)),slbdtrb0(xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_541])]) ).
fof(f5166,plain,
( aElementOf0(sK13(slbdtrb0(xK)),slbdtrb0(xK))
| slcrc0 = slbdtrb0(xK)
| ~ spl25_533 ),
inference(resolution,[],[f5103,f462]) ).
fof(f5165,plain,
( ~ spl25_2
| spl25_539
| ~ spl25_29
| ~ spl25_2
| ~ spl25_97 ),
inference(avatar_split_clause,[],[f5161,f1224,f580,f718,f5163,f580]) ).
fof(f5163,plain,
( spl25_539
<=> ! [X4] :
( ~ aElementOf0(X4,szNzAzT0)
| sdtlseqdt0(X4,xK)
| ~ sdtlseqdt0(X4,sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_539])]) ).
fof(f5161,plain,
( ! [X4] :
( ~ aElementOf0(xK,szNzAzT0)
| ~ aElementOf0(X4,szNzAzT0)
| ~ aElementOf0(sz00,szNzAzT0)
| ~ sdtlseqdt0(X4,sz00)
| sdtlseqdt0(X4,xK) )
| ~ spl25_2
| ~ spl25_97 ),
inference(forward_demodulation,[],[f5160,f1226]) ).
fof(f5160,plain,
( ! [X4] :
( sdtlseqdt0(X4,szszuzczcdt0(sz00))
| ~ sdtlseqdt0(X4,sz00)
| ~ aElementOf0(xK,szNzAzT0)
| ~ aElementOf0(X4,szNzAzT0)
| ~ aElementOf0(sz00,szNzAzT0) )
| ~ spl25_2
| ~ spl25_97 ),
inference(forward_demodulation,[],[f5155,f1226]) ).
fof(f5155,plain,
( ! [X4] :
( ~ aElementOf0(sz00,szNzAzT0)
| ~ sdtlseqdt0(X4,sz00)
| ~ aElementOf0(szszuzczcdt0(sz00),szNzAzT0)
| ~ aElementOf0(X4,szNzAzT0)
| sdtlseqdt0(X4,szszuzczcdt0(sz00)) )
| ~ spl25_2 ),
inference(resolution,[],[f2278,f383]) ).
fof(f2278,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(sz00,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X1,sz00)
| sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,szNzAzT0) )
| ~ spl25_2 ),
inference(resolution,[],[f406,f582]) ).
fof(f5137,plain,
( spl25_497
| spl25_538
| ~ spl25_109
| ~ spl25_456 ),
inference(avatar_split_clause,[],[f5121,f4316,f1364,f5134,f4702]) ).
fof(f5134,plain,
( spl25_538
<=> szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK1(szszuzczcdt0(xK))),sK1(szszuzczcdt0(xK))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_538])]) ).
fof(f5121,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK1(szszuzczcdt0(xK))),sK1(szszuzczcdt0(xK)))
| sz00 = szszuzczcdt0(xK)
| ~ spl25_109
| ~ spl25_456 ),
inference(resolution,[],[f1365,f4317]) ).
fof(f5131,plain,
( spl25_406
| spl25_537
| ~ spl25_109
| ~ spl25_311 ),
inference(avatar_split_clause,[],[f5125,f2983,f1364,f5128,f3913]) ).
fof(f5128,plain,
( spl25_537
<=> szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK1(sK13(szNzAzT0))),sK1(sK13(szNzAzT0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_537])]) ).
fof(f5125,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK1(sK13(szNzAzT0))),sK1(sK13(szNzAzT0)))
| sz00 = sK13(szNzAzT0)
| ~ spl25_109
| ~ spl25_311 ),
inference(resolution,[],[f1365,f2985]) ).
fof(f5118,plain,
( ~ spl25_29
| spl25_533 ),
inference(avatar_split_clause,[],[f5117,f5102,f718]) ).
fof(f5117,plain,
( ~ aElementOf0(xK,szNzAzT0)
| spl25_533 ),
inference(resolution,[],[f5104,f558]) ).
fof(f558,plain,
! [X0] :
( aSet0(slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f498]) ).
fof(f498,plain,
! [X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| aSet0(X1)
| slbdtrb0(X0) != X1 ),
inference(cnf_transformation,[],[f317]) ).
fof(f317,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ! [X1] :
( ( ( aSet0(X1)
& ! [X2] :
( ( ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) )
| ~ aElementOf0(X2,X1) )
& ( aElementOf0(X2,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0) ) ) )
| slbdtrb0(X0) != X1 )
& ( slbdtrb0(X0) = X1
| ~ aSet0(X1)
| ( ( ~ aElementOf0(sK17(X0,X1),X1)
| ~ sdtlseqdt0(szszuzczcdt0(sK17(X0,X1)),X0)
| ~ aElementOf0(sK17(X0,X1),szNzAzT0) )
& ( aElementOf0(sK17(X0,X1),X1)
| ( sdtlseqdt0(szszuzczcdt0(sK17(X0,X1)),X0)
& aElementOf0(sK17(X0,X1),szNzAzT0) ) ) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f315,f316]) ).
fof(f316,plain,
! [X0,X1] :
( ? [X3] :
( ( ~ aElementOf0(X3,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,szNzAzT0) )
& ( aElementOf0(X3,X1)
| ( sdtlseqdt0(szszuzczcdt0(X3),X0)
& aElementOf0(X3,szNzAzT0) ) ) )
=> ( ( ~ aElementOf0(sK17(X0,X1),X1)
| ~ sdtlseqdt0(szszuzczcdt0(sK17(X0,X1)),X0)
| ~ aElementOf0(sK17(X0,X1),szNzAzT0) )
& ( aElementOf0(sK17(X0,X1),X1)
| ( sdtlseqdt0(szszuzczcdt0(sK17(X0,X1)),X0)
& aElementOf0(sK17(X0,X1),szNzAzT0) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f315,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ! [X1] :
( ( ( aSet0(X1)
& ! [X2] :
( ( ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) )
| ~ aElementOf0(X2,X1) )
& ( aElementOf0(X2,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0) ) ) )
| slbdtrb0(X0) != X1 )
& ( slbdtrb0(X0) = X1
| ~ aSet0(X1)
| ? [X3] :
( ( ~ aElementOf0(X3,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,szNzAzT0) )
& ( aElementOf0(X3,X1)
| ( sdtlseqdt0(szszuzczcdt0(X3),X0)
& aElementOf0(X3,szNzAzT0) ) ) ) ) ) ),
inference(rectify,[],[f314]) ).
fof(f314,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ! [X1] :
( ( ( aSet0(X1)
& ! [X2] :
( ( ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) )
| ~ aElementOf0(X2,X1) )
& ( aElementOf0(X2,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0) ) ) )
| slbdtrb0(X0) != X1 )
& ( slbdtrb0(X0) = X1
| ~ aSet0(X1)
| ? [X2] :
( ( ~ aElementOf0(X2,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0) )
& ( aElementOf0(X2,X1)
| ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) ) ) ) ) ) ),
inference(flattening,[],[f313]) ).
fof(f313,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ! [X1] :
( ( ( aSet0(X1)
& ! [X2] :
( ( ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) )
| ~ aElementOf0(X2,X1) )
& ( aElementOf0(X2,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0) ) ) )
| slbdtrb0(X0) != X1 )
& ( slbdtrb0(X0) = X1
| ~ aSet0(X1)
| ? [X2] :
( ( ~ aElementOf0(X2,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0) )
& ( aElementOf0(X2,X1)
| ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) ) ) ) ) ) ),
inference(nnf_transformation,[],[f216]) ).
fof(f216,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ! [X1] :
( ( aSet0(X1)
& ! [X2] :
( ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) )
<=> aElementOf0(X2,X1) ) )
<=> slbdtrb0(X0) = X1 ) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( ( aSet0(X1)
& ! [X2] :
( ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) )
<=> aElementOf0(X2,X1) ) )
<=> slbdtrb0(X0) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSeg) ).
fof(f5104,plain,
( ~ aSet0(slbdtrb0(xK))
| spl25_533 ),
inference(avatar_component_clause,[],[f5102]) ).
fof(f5116,plain,
( ~ spl25_29
| spl25_536
| ~ spl25_273 ),
inference(avatar_split_clause,[],[f5100,f2697,f5114,f718]) ).
fof(f5114,plain,
( spl25_536
<=> ! [X2] :
( ~ aSubsetOf0(slbdtrb0(xK),X2)
| aElementOf0(slbdtrb0(xK),slbdtsldtrb0(X2,xK))
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_536])]) ).
fof(f5100,plain,
( ! [X2] :
( ~ aSubsetOf0(slbdtrb0(xK),X2)
| ~ aSet0(X2)
| ~ aElementOf0(xK,szNzAzT0)
| aElementOf0(slbdtrb0(xK),slbdtsldtrb0(X2,xK)) )
| ~ spl25_273 ),
inference(superposition,[],[f541,f2699]) ).
fof(f5112,plain,
( ~ spl25_533
| spl25_534
| ~ spl25_535
| ~ spl25_273 ),
inference(avatar_split_clause,[],[f5098,f2697,f5109,f5106,f5102]) ).
fof(f5106,plain,
( spl25_534
<=> ! [X0] :
( sdtlseqdt0(sbrdtbr0(X0),xK)
| ~ aSubsetOf0(X0,slbdtrb0(xK)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_534])]) ).
fof(f5098,plain,
( ! [X0] :
( ~ isFinite0(slbdtrb0(xK))
| sdtlseqdt0(sbrdtbr0(X0),xK)
| ~ aSubsetOf0(X0,slbdtrb0(xK))
| ~ aSet0(slbdtrb0(xK)) )
| ~ spl25_273 ),
inference(superposition,[],[f526,f2699]) ).
fof(f5081,plain,
( ~ spl25_72
| spl25_532
| ~ spl25_78 ),
inference(avatar_split_clause,[],[f5075,f1060,f5079,f1015]) ).
fof(f5079,plain,
( spl25_532
<=> ! [X0] :
( ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| sbrdtbr0(sdtlcdtrc0(xc,szDzozmdt0(xc))) = szszuzczcdt0(sbrdtbr0(sdtmndt0(sdtlcdtrc0(xc,szDzozmdt0(xc)),X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_532])]) ).
fof(f1060,plain,
( spl25_78
<=> isFinite0(sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_78])]) ).
fof(f5075,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ~ aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
| sbrdtbr0(sdtlcdtrc0(xc,szDzozmdt0(xc))) = szszuzczcdt0(sbrdtbr0(sdtmndt0(sdtlcdtrc0(xc,szDzozmdt0(xc)),X0))) )
| ~ spl25_78 ),
inference(resolution,[],[f1062,f438]) ).
fof(f1062,plain,
( isFinite0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ~ spl25_78 ),
inference(avatar_component_clause,[],[f1060]) ).
fof(f5064,plain,
( spl25_531
| ~ spl25_2
| ~ spl25_8 ),
inference(avatar_split_clause,[],[f5060,f609,f580,f5062]) ).
fof(f5062,plain,
( spl25_531
<=> ! [X0] :
( ~ aSet0(X0)
| ~ aSubsetOf0(slcrc0,X0)
| aElementOf0(slcrc0,slbdtsldtrb0(X0,sz00)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_531])]) ).
fof(f609,plain,
( spl25_8
<=> sz00 = sbrdtbr0(slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_8])]) ).
fof(f5060,plain,
( ! [X0] :
( ~ aElementOf0(sz00,szNzAzT0)
| ~ aSet0(X0)
| aElementOf0(slcrc0,slbdtsldtrb0(X0,sz00))
| ~ aSubsetOf0(slcrc0,X0) )
| ~ spl25_8 ),
inference(superposition,[],[f541,f611]) ).
fof(f611,plain,
( sz00 = sbrdtbr0(slcrc0)
| ~ spl25_8 ),
inference(avatar_component_clause,[],[f609]) ).
fof(f5052,plain,
( ~ spl25_34
| spl25_530
| ~ spl25_12 ),
inference(avatar_split_clause,[],[f5042,f629,f5050,f746]) ).
fof(f5050,plain,
( spl25_530
<=> ! [X13] :
( szszuzczcdt0(sbrdtbr0(sdtmndt0(xT,X13))) = sbrdtbr0(xT)
| ~ aElementOf0(X13,xT) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_530])]) ).
fof(f629,plain,
( spl25_12
<=> isFinite0(xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_12])]) ).
fof(f5042,plain,
( ! [X13] :
( szszuzczcdt0(sbrdtbr0(sdtmndt0(xT,X13))) = sbrdtbr0(xT)
| ~ aSet0(xT)
| ~ aElementOf0(X13,xT) )
| ~ spl25_12 ),
inference(resolution,[],[f438,f631]) ).
fof(f631,plain,
( isFinite0(xT)
| ~ spl25_12 ),
inference(avatar_component_clause,[],[f629]) ).
fof(f5047,plain,
( ~ spl25_71
| spl25_529
| ~ spl25_77 ),
inference(avatar_split_clause,[],[f5041,f1055,f5045,f1010]) ).
fof(f5045,plain,
( spl25_529
<=> ! [X12] :
( ~ aElementOf0(X12,sdtlcdtrc0(xd,szNzAzT0))
| szszuzczcdt0(sbrdtbr0(sdtmndt0(sdtlcdtrc0(xd,szNzAzT0),X12))) = sbrdtbr0(sdtlcdtrc0(xd,szNzAzT0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_529])]) ).
fof(f1055,plain,
( spl25_77
<=> isFinite0(sdtlcdtrc0(xd,szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_77])]) ).
fof(f5041,plain,
( ! [X12] :
( ~ aElementOf0(X12,sdtlcdtrc0(xd,szNzAzT0))
| ~ aSet0(sdtlcdtrc0(xd,szNzAzT0))
| szszuzczcdt0(sbrdtbr0(sdtmndt0(sdtlcdtrc0(xd,szNzAzT0),X12))) = sbrdtbr0(sdtlcdtrc0(xd,szNzAzT0)) )
| ~ spl25_77 ),
inference(resolution,[],[f438,f1057]) ).
fof(f1057,plain,
( isFinite0(sdtlcdtrc0(xd,szNzAzT0))
| ~ spl25_77 ),
inference(avatar_component_clause,[],[f1055]) ).
fof(f5023,plain,
( ~ spl25_245
| spl25_85
| spl25_528
| ~ spl25_482 ),
inference(avatar_split_clause,[],[f5015,f4543,f5021,f1111,f2402]) ).
fof(f5021,plain,
( spl25_528
<=> ! [X1] :
( sdtlseqdt0(xK,X1)
| ~ aElementOf0(X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_528])]) ).
fof(f5015,plain,
( ! [X1] :
( sdtlseqdt0(xK,X1)
| slcrc0 = szNzAzT0
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSubsetOf0(szNzAzT0,szNzAzT0) )
| ~ spl25_482 ),
inference(superposition,[],[f546,f4545]) ).
fof(f5019,plain,
( spl25_85
| ~ spl25_245
| spl25_527
| ~ spl25_482 ),
inference(avatar_split_clause,[],[f5014,f4543,f5017,f2402,f1111]) ).
fof(f5017,plain,
( spl25_527
<=> ! [X0] :
( ~ aElementOf0(xK,X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0
| szmzizndt0(X0) = xK
| ~ aElementOf0(szmzizndt0(X0),szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_527])]) ).
fof(f5014,plain,
( ! [X0] :
( ~ aElementOf0(xK,X0)
| ~ aElementOf0(szmzizndt0(X0),szNzAzT0)
| szmzizndt0(X0) = xK
| slcrc0 = X0
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| slcrc0 = szNzAzT0
| ~ aSubsetOf0(X0,szNzAzT0) )
| ~ spl25_482 ),
inference(superposition,[],[f412,f4545]) ).
fof(f5006,plain,
( ~ spl25_526
| ~ spl25_482
| spl25_485 ),
inference(avatar_split_clause,[],[f4970,f4557,f4543,f5003]) ).
fof(f5003,plain,
( spl25_526
<=> xK = sK13(szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_526])]) ).
fof(f4557,plain,
( spl25_485
<=> szmzizndt0(szNzAzT0) = sK13(szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_485])]) ).
fof(f4970,plain,
( xK != sK13(szNzAzT0)
| ~ spl25_482
| spl25_485 ),
inference(backward_demodulation,[],[f4558,f4545]) ).
fof(f4558,plain,
( szmzizndt0(szNzAzT0) != sK13(szNzAzT0)
| spl25_485 ),
inference(avatar_component_clause,[],[f4557]) ).
fof(f5001,plain,
( spl25_458
| ~ spl25_479
| ~ spl25_482 ),
inference(avatar_split_clause,[],[f4969,f4543,f4530,f4325]) ).
fof(f4969,plain,
( xK = sK6(xd)
| ~ spl25_479
| ~ spl25_482 ),
inference(backward_demodulation,[],[f4532,f4545]) ).
fof(f4988,plain,
( spl25_525
| ~ spl25_482
| ~ spl25_487 ),
inference(avatar_split_clause,[],[f4972,f4611,f4543,f4985]) ).
fof(f4985,plain,
( spl25_525
<=> sK19(sz00) = sdtlpdtrp0(xd,xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_525])]) ).
fof(f4611,plain,
( spl25_487
<=> sdtlpdtrp0(xd,szmzizndt0(szNzAzT0)) = sK19(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_487])]) ).
fof(f4972,plain,
( sK19(sz00) = sdtlpdtrp0(xd,xK)
| ~ spl25_482
| ~ spl25_487 ),
inference(backward_demodulation,[],[f4613,f4545]) ).
fof(f4613,plain,
( sdtlpdtrp0(xd,szmzizndt0(szNzAzT0)) = sK19(sz00)
| ~ spl25_487 ),
inference(avatar_component_clause,[],[f4611]) ).
fof(f4938,plain,
( spl25_486
| ~ spl25_479
| ~ spl25_480 ),
inference(avatar_split_clause,[],[f4937,f4534,f4530,f4606]) ).
fof(f4937,plain,
( aElementOf0(sK11(szNzAzT0,szmzizndt0(szNzAzT0)),szNzAzT0)
| ~ spl25_479
| ~ spl25_480 ),
inference(forward_demodulation,[],[f4536,f4532]) ).
fof(f4536,plain,
( aElementOf0(sK11(szNzAzT0,sK6(xd)),szNzAzT0)
| ~ spl25_480 ),
inference(avatar_component_clause,[],[f4534]) ).
fof(f4936,plain,
( spl25_482
| ~ spl25_86
| ~ spl25_488
| ~ spl25_29
| ~ spl25_305 ),
inference(avatar_split_clause,[],[f4654,f2917,f718,f4621,f1115,f4543]) ).
fof(f1115,plain,
( spl25_86
<=> aElementOf0(szmzizndt0(szNzAzT0),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_86])]) ).
fof(f4621,plain,
( spl25_488
<=> sdtlseqdt0(szmzizndt0(szNzAzT0),xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_488])]) ).
fof(f2917,plain,
( spl25_305
<=> sdtlseqdt0(xK,szmzizndt0(szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_305])]) ).
fof(f4654,plain,
( ~ sdtlseqdt0(szmzizndt0(szNzAzT0),xK)
| ~ aElementOf0(szmzizndt0(szNzAzT0),szNzAzT0)
| xK = szmzizndt0(szNzAzT0)
| ~ spl25_29
| ~ spl25_305 ),
inference(resolution,[],[f2919,f1643]) ).
fof(f1643,plain,
( ! [X3] :
( ~ sdtlseqdt0(xK,X3)
| ~ aElementOf0(X3,szNzAzT0)
| xK = X3
| ~ sdtlseqdt0(X3,xK) )
| ~ spl25_29 ),
inference(resolution,[],[f477,f720]) ).
fof(f2919,plain,
( sdtlseqdt0(xK,szmzizndt0(szNzAzT0))
| ~ spl25_305 ),
inference(avatar_component_clause,[],[f2917]) ).
fof(f4935,plain,
( spl25_488
| ~ spl25_459
| ~ spl25_479 ),
inference(avatar_split_clause,[],[f4934,f4530,f4329,f4621]) ).
fof(f4329,plain,
( spl25_459
<=> sdtlseqdt0(sK6(xd),xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_459])]) ).
fof(f4934,plain,
( sdtlseqdt0(szmzizndt0(szNzAzT0),xK)
| ~ spl25_459
| ~ spl25_479 ),
inference(forward_demodulation,[],[f4330,f4532]) ).
fof(f4330,plain,
( sdtlseqdt0(sK6(xd),xK)
| ~ spl25_459 ),
inference(avatar_component_clause,[],[f4329]) ).
fof(f4933,plain,
( spl25_85
| ~ spl25_245
| ~ spl25_29
| spl25_488 ),
inference(avatar_split_clause,[],[f4932,f4621,f718,f2402,f1111]) ).
fof(f4932,plain,
( ~ aElementOf0(xK,szNzAzT0)
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| slcrc0 = szNzAzT0
| spl25_488 ),
inference(resolution,[],[f4623,f546]) ).
fof(f4623,plain,
( ~ sdtlseqdt0(szmzizndt0(szNzAzT0),xK)
| spl25_488 ),
inference(avatar_component_clause,[],[f4621]) ).
fof(f4931,plain,
( ~ spl25_29
| spl25_524
| ~ spl25_456
| ~ spl25_29 ),
inference(avatar_split_clause,[],[f4920,f718,f4316,f4929,f718]) ).
fof(f4929,plain,
( spl25_524
<=> ! [X3] :
( ~ sdtlseqdt0(X3,xK)
| sdtlseqdt0(X3,szszuzczcdt0(xK))
| ~ aElementOf0(X3,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_524])]) ).
fof(f4920,plain,
( ! [X3] :
( ~ aElementOf0(szszuzczcdt0(xK),szNzAzT0)
| ~ sdtlseqdt0(X3,xK)
| ~ aElementOf0(X3,szNzAzT0)
| sdtlseqdt0(X3,szszuzczcdt0(xK))
| ~ aElementOf0(xK,szNzAzT0) )
| ~ spl25_29 ),
inference(resolution,[],[f2280,f383]) ).
fof(f2280,plain,
( ! [X6,X5] :
( ~ sdtlseqdt0(xK,X5)
| ~ sdtlseqdt0(X6,xK)
| sdtlseqdt0(X6,X5)
| ~ aElementOf0(X5,szNzAzT0)
| ~ aElementOf0(X6,szNzAzT0) )
| ~ spl25_29 ),
inference(resolution,[],[f406,f720]) ).
fof(f4927,plain,
( ~ spl25_86
| spl25_523
| ~ spl25_29
| ~ spl25_305 ),
inference(avatar_split_clause,[],[f4921,f2917,f718,f4925,f1115]) ).
fof(f4925,plain,
( spl25_523
<=> ! [X4] :
( ~ aElementOf0(X4,szNzAzT0)
| sdtlseqdt0(X4,szmzizndt0(szNzAzT0))
| ~ sdtlseqdt0(X4,xK) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_523])]) ).
fof(f4921,plain,
( ! [X4] :
( ~ aElementOf0(X4,szNzAzT0)
| ~ aElementOf0(szmzizndt0(szNzAzT0),szNzAzT0)
| ~ sdtlseqdt0(X4,xK)
| sdtlseqdt0(X4,szmzizndt0(szNzAzT0)) )
| ~ spl25_29
| ~ spl25_305 ),
inference(resolution,[],[f2280,f2919]) ).
fof(f4915,plain,
( ~ spl25_29
| spl25_130
| spl25_522
| ~ spl25_128 ),
inference(avatar_split_clause,[],[f4905,f1488,f4912,f1495,f718]) ).
fof(f4912,plain,
( spl25_522
<=> sdtlseqdt0(sdtlpdtrp0(xe,xK),sdtlpdtrp0(xe,xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_522])]) ).
fof(f1488,plain,
( spl25_128
<=> ! [X0] :
( sdtlseqdt0(sdtlpdtrp0(xe,xK),X0)
| ~ aElementOf0(X0,sdtlpdtrp0(xN,xK)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_128])]) ).
fof(f4905,plain,
( sdtlseqdt0(sdtlpdtrp0(xe,xK),sdtlpdtrp0(xe,xK))
| slcrc0 = sdtlpdtrp0(xN,xK)
| ~ aElementOf0(xK,szNzAzT0)
| ~ spl25_128 ),
inference(resolution,[],[f1109,f1489]) ).
fof(f1489,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,xK))
| sdtlseqdt0(sdtlpdtrp0(xe,xK),X0) )
| ~ spl25_128 ),
inference(avatar_component_clause,[],[f1488]) ).
fof(f4893,plain,
( spl25_520
| spl25_521
| ~ spl25_456 ),
inference(avatar_split_clause,[],[f4855,f4316,f4890,f4886]) ).
fof(f4886,plain,
( spl25_520
<=> sz00 = szszuzczcdt0(szszuzczcdt0(xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_520])]) ).
fof(f4890,plain,
( spl25_521
<=> szszuzczcdt0(szszuzczcdt0(xK)) = szszuzczcdt0(sK1(szszuzczcdt0(szszuzczcdt0(xK)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_521])]) ).
fof(f4855,plain,
( szszuzczcdt0(szszuzczcdt0(xK)) = szszuzczcdt0(sK1(szszuzczcdt0(szszuzczcdt0(xK))))
| sz00 = szszuzczcdt0(szszuzczcdt0(xK))
| ~ spl25_456 ),
inference(resolution,[],[f1143,f4317]) ).
fof(f4884,plain,
( spl25_518
| spl25_519
| ~ spl25_86 ),
inference(avatar_split_clause,[],[f4857,f1115,f4881,f4877]) ).
fof(f4881,plain,
( spl25_519
<=> szszuzczcdt0(szmzizndt0(szNzAzT0)) = szszuzczcdt0(sK1(szszuzczcdt0(szmzizndt0(szNzAzT0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_519])]) ).
fof(f4857,plain,
( szszuzczcdt0(szmzizndt0(szNzAzT0)) = szszuzczcdt0(sK1(szszuzczcdt0(szmzizndt0(szNzAzT0))))
| sz00 = szszuzczcdt0(szmzizndt0(szNzAzT0))
| ~ spl25_86 ),
inference(resolution,[],[f1143,f1117]) ).
fof(f1117,plain,
( aElementOf0(szmzizndt0(szNzAzT0),szNzAzT0)
| ~ spl25_86 ),
inference(avatar_component_clause,[],[f1115]) ).
fof(f4873,plain,
( spl25_516
| spl25_517
| ~ spl25_311 ),
inference(avatar_split_clause,[],[f4860,f2983,f4870,f4866]) ).
fof(f4866,plain,
( spl25_516
<=> szszuzczcdt0(sK1(szszuzczcdt0(sK13(szNzAzT0)))) = szszuzczcdt0(sK13(szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_516])]) ).
fof(f4870,plain,
( spl25_517
<=> sz00 = szszuzczcdt0(sK13(szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_517])]) ).
fof(f4860,plain,
( sz00 = szszuzczcdt0(sK13(szNzAzT0))
| szszuzczcdt0(sK1(szszuzczcdt0(sK13(szNzAzT0)))) = szszuzczcdt0(sK13(szNzAzT0))
| ~ spl25_311 ),
inference(resolution,[],[f1143,f2985]) ).
fof(f4843,plain,
( spl25_515
| ~ spl25_29
| ~ spl25_74
| ~ spl25_9 ),
inference(avatar_split_clause,[],[f4833,f614,f1033,f718,f4841]) ).
fof(f4841,plain,
( spl25_515
<=> ! [X0] :
( ~ aElementOf0(X0,szDzozmdt0(xc))
| sbrdtbr0(X0) = xK ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_515])]) ).
fof(f4833,plain,
( ! [X0] :
( ~ aSet0(xS)
| ~ aElementOf0(xK,szNzAzT0)
| ~ aElementOf0(X0,szDzozmdt0(xc))
| sbrdtbr0(X0) = xK )
| ~ spl25_9 ),
inference(superposition,[],[f542,f616]) ).
fof(f4839,plain,
( ~ spl25_2
| spl25_514
| ~ spl25_176
| ~ spl25_94 ),
inference(avatar_split_clause,[],[f4835,f1196,f1872,f4837,f580]) ).
fof(f4837,plain,
( spl25_514
<=> ! [X2] :
( sz00 = sbrdtbr0(X2)
| ~ aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,sz00))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_514])]) ).
fof(f1196,plain,
( spl25_94
<=> slbdtsldtrb0(sdtmndt0(xS,szmzizndt0(xS)),sz00) = szDzozmdt0(sdtlpdtrp0(xC,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_94])]) ).
fof(f4835,plain,
( ! [X2] :
( ~ aSet0(sdtmndt0(xS,szmzizndt0(xS)))
| sz00 = sbrdtbr0(X2)
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,sz00))) )
| ~ spl25_94 ),
inference(superposition,[],[f542,f1198]) ).
fof(f1198,plain,
( slbdtsldtrb0(sdtmndt0(xS,szmzizndt0(xS)),sz00) = szDzozmdt0(sdtlpdtrp0(xC,sz00))
| ~ spl25_94 ),
inference(avatar_component_clause,[],[f1196]) ).
fof(f4826,plain,
( ~ spl25_74
| ~ spl25_29
| spl25_513
| ~ spl25_9 ),
inference(avatar_split_clause,[],[f4816,f614,f4824,f718,f1033]) ).
fof(f4824,plain,
( spl25_513
<=> ! [X0] :
( aSubsetOf0(X0,xS)
| ~ aElementOf0(X0,szDzozmdt0(xc)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_513])]) ).
fof(f4816,plain,
( ! [X0] :
( aSubsetOf0(X0,xS)
| ~ aElementOf0(X0,szDzozmdt0(xc))
| ~ aElementOf0(xK,szNzAzT0)
| ~ aSet0(xS) )
| ~ spl25_9 ),
inference(superposition,[],[f543,f616]) ).
fof(f4822,plain,
( ~ spl25_176
| ~ spl25_2
| spl25_512
| ~ spl25_94 ),
inference(avatar_split_clause,[],[f4818,f1196,f4820,f580,f1872]) ).
fof(f4820,plain,
( spl25_512
<=> ! [X2] :
( aSubsetOf0(X2,sdtmndt0(xS,szmzizndt0(xS)))
| ~ aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,sz00))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_512])]) ).
fof(f4818,plain,
( ! [X2] :
( aSubsetOf0(X2,sdtmndt0(xS,szmzizndt0(xS)))
| ~ aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,sz00)))
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aSet0(sdtmndt0(xS,szmzizndt0(xS))) )
| ~ spl25_94 ),
inference(superposition,[],[f543,f1198]) ).
fof(f4809,plain,
( ~ spl25_24
| spl25_511
| ~ spl25_3
| ~ spl25_196 ),
inference(avatar_split_clause,[],[f4805,f2063,f585,f4807,f693]) ).
fof(f4807,plain,
( spl25_511
<=> ! [X0,X1] :
( ~ aElementOf0(X1,X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sdtlpdtrp0(xN,X1) = sdtlpdtrp0(xN,sK22(xN,X0,sdtlpdtrp0(xN,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_511])]) ).
fof(f2063,plain,
( spl25_196
<=> ! [X0,X1] :
( ~ aElementOf0(X1,X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| aElementOf0(sdtlpdtrp0(xN,X1),sdtlcdtrc0(xN,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_196])]) ).
fof(f4805,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,X0)
| ~ aFunction0(xN)
| sdtlpdtrp0(xN,X1) = sdtlpdtrp0(xN,sK22(xN,X0,sdtlpdtrp0(xN,X1)))
| ~ aSubsetOf0(X0,szNzAzT0) )
| ~ spl25_3
| ~ spl25_196 ),
inference(duplicate_literal_removal,[],[f4804]) ).
fof(f4804,plain,
( ! [X0,X1] :
( sdtlpdtrp0(xN,X1) = sdtlpdtrp0(xN,sK22(xN,X0,sdtlpdtrp0(xN,X1)))
| ~ aFunction0(xN)
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,X0)
| ~ aSubsetOf0(X0,szNzAzT0) )
| ~ spl25_3
| ~ spl25_196 ),
inference(forward_demodulation,[],[f4792,f587]) ).
fof(f4792,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ aSubsetOf0(X0,szDzozmdt0(xN))
| sdtlpdtrp0(xN,X1) = sdtlpdtrp0(xN,sK22(xN,X0,sdtlpdtrp0(xN,X1)))
| ~ aFunction0(xN) )
| ~ spl25_196 ),
inference(resolution,[],[f2064,f570]) ).
fof(f2064,plain,
( ! [X0,X1] :
( aElementOf0(sdtlpdtrp0(xN,X1),sdtlcdtrc0(xN,X0))
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,X0) )
| ~ spl25_196 ),
inference(avatar_component_clause,[],[f2063]) ).
fof(f4803,plain,
( ~ spl25_24
| spl25_510
| ~ spl25_3
| ~ spl25_196 ),
inference(avatar_split_clause,[],[f4799,f2063,f585,f4801,f693]) ).
fof(f4801,plain,
( spl25_510
<=> ! [X2,X3] :
( ~ aSubsetOf0(X2,szNzAzT0)
| aElementOf0(sK22(xN,X2,sdtlpdtrp0(xN,X3)),X2)
| ~ aElementOf0(X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_510])]) ).
fof(f4799,plain,
( ! [X2,X3] :
( ~ aSubsetOf0(X2,szNzAzT0)
| ~ aElementOf0(X3,X2)
| aElementOf0(sK22(xN,X2,sdtlpdtrp0(xN,X3)),X2)
| ~ aFunction0(xN) )
| ~ spl25_3
| ~ spl25_196 ),
inference(duplicate_literal_removal,[],[f4798]) ).
fof(f4798,plain,
( ! [X2,X3] :
( ~ aElementOf0(X3,X2)
| ~ aSubsetOf0(X2,szNzAzT0)
| aElementOf0(sK22(xN,X2,sdtlpdtrp0(xN,X3)),X2)
| ~ aSubsetOf0(X2,szNzAzT0)
| ~ aFunction0(xN) )
| ~ spl25_3
| ~ spl25_196 ),
inference(forward_demodulation,[],[f4793,f587]) ).
fof(f4793,plain,
( ! [X2,X3] :
( aElementOf0(sK22(xN,X2,sdtlpdtrp0(xN,X3)),X2)
| ~ aSubsetOf0(X2,szNzAzT0)
| ~ aSubsetOf0(X2,szDzozmdt0(xN))
| ~ aElementOf0(X3,X2)
| ~ aFunction0(xN) )
| ~ spl25_196 ),
inference(resolution,[],[f2064,f571]) ).
fof(f4791,plain,
( ~ spl25_31
| spl25_509
| ~ spl25_17
| ~ spl25_195 ),
inference(avatar_split_clause,[],[f4787,f2059,f654,f4789,f729]) ).
fof(f4789,plain,
( spl25_509
<=> ! [X2,X3] :
( aElementOf0(sK22(xC,X3,sdtlpdtrp0(xC,X2)),X3)
| ~ aElementOf0(X2,X3)
| ~ aSubsetOf0(X3,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_509])]) ).
fof(f2059,plain,
( spl25_195
<=> ! [X2,X3] :
( aElementOf0(sdtlpdtrp0(xC,X3),sdtlcdtrc0(xC,X2))
| ~ aSubsetOf0(X2,szNzAzT0)
| ~ aElementOf0(X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_195])]) ).
fof(f4787,plain,
( ! [X2,X3] :
( aElementOf0(sK22(xC,X3,sdtlpdtrp0(xC,X2)),X3)
| ~ aSubsetOf0(X3,szNzAzT0)
| ~ aElementOf0(X2,X3)
| ~ aFunction0(xC) )
| ~ spl25_17
| ~ spl25_195 ),
inference(duplicate_literal_removal,[],[f4786]) ).
fof(f4786,plain,
( ! [X2,X3] :
( ~ aSubsetOf0(X3,szNzAzT0)
| ~ aFunction0(xC)
| ~ aSubsetOf0(X3,szNzAzT0)
| ~ aElementOf0(X2,X3)
| aElementOf0(sK22(xC,X3,sdtlpdtrp0(xC,X2)),X3) )
| ~ spl25_17
| ~ spl25_195 ),
inference(forward_demodulation,[],[f4776,f656]) ).
fof(f4776,plain,
( ! [X2,X3] :
( ~ aSubsetOf0(X3,szDzozmdt0(xC))
| ~ aSubsetOf0(X3,szNzAzT0)
| ~ aElementOf0(X2,X3)
| ~ aFunction0(xC)
| aElementOf0(sK22(xC,X3,sdtlpdtrp0(xC,X2)),X3) )
| ~ spl25_195 ),
inference(resolution,[],[f2060,f571]) ).
fof(f2060,plain,
( ! [X2,X3] :
( aElementOf0(sdtlpdtrp0(xC,X3),sdtlcdtrc0(xC,X2))
| ~ aElementOf0(X3,X2)
| ~ aSubsetOf0(X2,szNzAzT0) )
| ~ spl25_195 ),
inference(avatar_component_clause,[],[f2059]) ).
fof(f4785,plain,
( spl25_508
| ~ spl25_31
| ~ spl25_17
| ~ spl25_195 ),
inference(avatar_split_clause,[],[f4781,f2059,f654,f729,f4783]) ).
fof(f4783,plain,
( spl25_508
<=> ! [X0,X1] :
( sdtlpdtrp0(xC,X0) = sdtlpdtrp0(xC,sK22(xC,X1,sdtlpdtrp0(xC,X0)))
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_508])]) ).
fof(f4781,plain,
( ! [X0,X1] :
( ~ aFunction0(xC)
| sdtlpdtrp0(xC,X0) = sdtlpdtrp0(xC,sK22(xC,X1,sdtlpdtrp0(xC,X0)))
| ~ aElementOf0(X0,X1)
| ~ aSubsetOf0(X1,szNzAzT0) )
| ~ spl25_17
| ~ spl25_195 ),
inference(duplicate_literal_removal,[],[f4780]) ).
fof(f4780,plain,
( ! [X0,X1] :
( sdtlpdtrp0(xC,X0) = sdtlpdtrp0(xC,sK22(xC,X1,sdtlpdtrp0(xC,X0)))
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aFunction0(xC)
| ~ aElementOf0(X0,X1)
| ~ aSubsetOf0(X1,szNzAzT0) )
| ~ spl25_17
| ~ spl25_195 ),
inference(forward_demodulation,[],[f4775,f656]) ).
fof(f4775,plain,
( ! [X0,X1] :
( ~ aFunction0(xC)
| sdtlpdtrp0(xC,X0) = sdtlpdtrp0(xC,sK22(xC,X1,sdtlpdtrp0(xC,X0)))
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,X1)
| ~ aSubsetOf0(X1,szDzozmdt0(xC)) )
| ~ spl25_195 ),
inference(resolution,[],[f2060,f570]) ).
fof(f4774,plain,
( ~ spl25_28
| spl25_507
| ~ spl25_15
| ~ spl25_194 ),
inference(avatar_split_clause,[],[f4770,f2055,f644,f4772,f713]) ).
fof(f4772,plain,
( spl25_507
<=> ! [X2,X3] :
( ~ aElementOf0(X2,X3)
| ~ aSubsetOf0(X3,szNzAzT0)
| aElementOf0(sK22(xd,X3,sdtlpdtrp0(xd,X2)),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_507])]) ).
fof(f2055,plain,
( spl25_194
<=> ! [X6,X7] :
( ~ aElementOf0(X7,X6)
| aElementOf0(sdtlpdtrp0(xd,X7),sdtlcdtrc0(xd,X6))
| ~ aSubsetOf0(X6,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_194])]) ).
fof(f4770,plain,
( ! [X2,X3] :
( ~ aElementOf0(X2,X3)
| ~ aFunction0(xd)
| aElementOf0(sK22(xd,X3,sdtlpdtrp0(xd,X2)),X3)
| ~ aSubsetOf0(X3,szNzAzT0) )
| ~ spl25_15
| ~ spl25_194 ),
inference(duplicate_literal_removal,[],[f4769]) ).
fof(f4769,plain,
( ! [X2,X3] :
( aElementOf0(sK22(xd,X3,sdtlpdtrp0(xd,X2)),X3)
| ~ aSubsetOf0(X3,szNzAzT0)
| ~ aElementOf0(X2,X3)
| ~ aSubsetOf0(X3,szNzAzT0)
| ~ aFunction0(xd) )
| ~ spl25_15
| ~ spl25_194 ),
inference(forward_demodulation,[],[f4758,f646]) ).
fof(f4758,plain,
( ! [X2,X3] :
( ~ aFunction0(xd)
| aElementOf0(sK22(xd,X3,sdtlpdtrp0(xd,X2)),X3)
| ~ aElementOf0(X2,X3)
| ~ aSubsetOf0(X3,szNzAzT0)
| ~ aSubsetOf0(X3,szDzozmdt0(xd)) )
| ~ spl25_194 ),
inference(resolution,[],[f2056,f571]) ).
fof(f2056,plain,
( ! [X6,X7] :
( aElementOf0(sdtlpdtrp0(xd,X7),sdtlcdtrc0(xd,X6))
| ~ aElementOf0(X7,X6)
| ~ aSubsetOf0(X6,szNzAzT0) )
| ~ spl25_194 ),
inference(avatar_component_clause,[],[f2055]) ).
fof(f4768,plain,
( ~ spl25_28
| spl25_506
| ~ spl25_15
| ~ spl25_194 ),
inference(avatar_split_clause,[],[f4764,f2055,f644,f4766,f713]) ).
fof(f4766,plain,
( spl25_506
<=> ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| sdtlpdtrp0(xd,X0) = sdtlpdtrp0(xd,sK22(xd,X1,sdtlpdtrp0(xd,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_506])]) ).
fof(f4764,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ aFunction0(xd)
| sdtlpdtrp0(xd,X0) = sdtlpdtrp0(xd,sK22(xd,X1,sdtlpdtrp0(xd,X0)))
| ~ aSubsetOf0(X1,szNzAzT0) )
| ~ spl25_15
| ~ spl25_194 ),
inference(duplicate_literal_removal,[],[f4763]) ).
fof(f4763,plain,
( ! [X0,X1] :
( ~ aSubsetOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,X1)
| ~ aFunction0(xd)
| sdtlpdtrp0(xd,X0) = sdtlpdtrp0(xd,sK22(xd,X1,sdtlpdtrp0(xd,X0)))
| ~ aSubsetOf0(X1,szNzAzT0) )
| ~ spl25_15
| ~ spl25_194 ),
inference(forward_demodulation,[],[f4757,f646]) ).
fof(f4757,plain,
( ! [X0,X1] :
( sdtlpdtrp0(xd,X0) = sdtlpdtrp0(xd,sK22(xd,X1,sdtlpdtrp0(xd,X0)))
| ~ aSubsetOf0(X1,szDzozmdt0(xd))
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,X1)
| ~ aFunction0(xd) )
| ~ spl25_194 ),
inference(resolution,[],[f2056,f570]) ).
fof(f4743,plain,
( spl25_505
| ~ spl25_92
| ~ spl25_456 ),
inference(avatar_split_clause,[],[f4676,f4316,f1152,f4740]) ).
fof(f4740,plain,
( spl25_505
<=> slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,szszuzczcdt0(xK)),sdtlpdtrp0(xe,szszuzczcdt0(xK))),sz00) = szDzozmdt0(sdtlpdtrp0(xC,szszuzczcdt0(xK))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_505])]) ).
fof(f4676,plain,
( slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,szszuzczcdt0(xK)),sdtlpdtrp0(xe,szszuzczcdt0(xK))),sz00) = szDzozmdt0(sdtlpdtrp0(xC,szszuzczcdt0(xK)))
| ~ spl25_92
| ~ spl25_456 ),
inference(resolution,[],[f4317,f1784]) ).
fof(f4738,plain,
( spl25_503
| spl25_504
| ~ spl25_92
| ~ spl25_126
| ~ spl25_456 ),
inference(avatar_split_clause,[],[f4677,f4316,f1478,f1152,f4735,f4731]) ).
fof(f4731,plain,
( spl25_503
<=> sdtlseqdt0(szszuzczcdt0(xK),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_503])]) ).
fof(f4735,plain,
( spl25_504
<=> sdtlseqdt0(xK,szszuzczcdt0(xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_504])]) ).
fof(f4677,plain,
( sdtlseqdt0(xK,szszuzczcdt0(xK))
| sdtlseqdt0(szszuzczcdt0(xK),sz00)
| ~ spl25_92
| ~ spl25_126
| ~ spl25_456 ),
inference(resolution,[],[f4317,f1812]) ).
fof(f4729,plain,
( spl25_501
| spl25_502
| ~ spl25_235
| ~ spl25_456 ),
inference(avatar_split_clause,[],[f4678,f4316,f2306,f4726,f4722]) ).
fof(f4722,plain,
( spl25_501
<=> szmzizndt0(szNzAzT0) = szszuzczcdt0(xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_501])]) ).
fof(f4726,plain,
( spl25_502
<=> aElementOf0(sK11(szNzAzT0,szszuzczcdt0(xK)),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_502])]) ).
fof(f4678,plain,
( aElementOf0(sK11(szNzAzT0,szszuzczcdt0(xK)),szNzAzT0)
| szmzizndt0(szNzAzT0) = szszuzczcdt0(xK)
| ~ spl25_235
| ~ spl25_456 ),
inference(resolution,[],[f4317,f2307]) ).
fof(f4720,plain,
( spl25_500
| ~ spl25_456 ),
inference(avatar_split_clause,[],[f4672,f4316,f4717]) ).
fof(f4717,plain,
( spl25_500
<=> szmzizndt0(sdtlpdtrp0(xN,szszuzczcdt0(szszuzczcdt0(xK)))) = sdtlpdtrp0(xe,szszuzczcdt0(szszuzczcdt0(xK))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_500])]) ).
fof(f4672,plain,
( szmzizndt0(sdtlpdtrp0(xN,szszuzczcdt0(szszuzczcdt0(xK)))) = sdtlpdtrp0(xe,szszuzczcdt0(szszuzczcdt0(xK)))
| ~ spl25_456 ),
inference(resolution,[],[f4317,f922]) ).
fof(f4715,plain,
( spl25_499
| ~ spl25_456 ),
inference(avatar_split_clause,[],[f4670,f4316,f4712]) ).
fof(f4712,plain,
( spl25_499
<=> sbrdtbr0(slbdtrb0(szszuzczcdt0(xK))) = szszuzczcdt0(xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_499])]) ).
fof(f4670,plain,
( sbrdtbr0(slbdtrb0(szszuzczcdt0(xK))) = szszuzczcdt0(xK)
| ~ spl25_456 ),
inference(resolution,[],[f4317,f475]) ).
fof(f4710,plain,
( spl25_498
| ~ spl25_14
| ~ spl25_456 ),
inference(avatar_split_clause,[],[f4679,f4316,f639,f4707]) ).
fof(f4707,plain,
( spl25_498
<=> aElement0(szszuzczcdt0(xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_498])]) ).
fof(f4679,plain,
( ~ aSet0(szNzAzT0)
| aElement0(szszuzczcdt0(xK))
| ~ spl25_456 ),
inference(resolution,[],[f4317,f473]) ).
fof(f4705,plain,
( spl25_496
| spl25_497
| ~ spl25_456 ),
inference(avatar_split_clause,[],[f4667,f4316,f4702,f4698]) ).
fof(f4698,plain,
( spl25_496
<=> szszuzczcdt0(sK1(szszuzczcdt0(xK))) = szszuzczcdt0(xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_496])]) ).
fof(f4667,plain,
( sz00 = szszuzczcdt0(xK)
| szszuzczcdt0(sK1(szszuzczcdt0(xK))) = szszuzczcdt0(xK)
| ~ spl25_456 ),
inference(resolution,[],[f4317,f348]) ).
fof(f4696,plain,
( spl25_495
| ~ spl25_107
| ~ spl25_456 ),
inference(avatar_split_clause,[],[f4674,f4316,f1355,f4693]) ).
fof(f4693,plain,
( spl25_495
<=> xT = sdtpldt0(sdtmndt0(xT,sK14(szszuzczcdt0(xK))),sK14(szszuzczcdt0(xK))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_495])]) ).
fof(f4674,plain,
( xT = sdtpldt0(sdtmndt0(xT,sK14(szszuzczcdt0(xK))),sK14(szszuzczcdt0(xK)))
| ~ spl25_107
| ~ spl25_456 ),
inference(resolution,[],[f4317,f1356]) ).
fof(f4691,plain,
( spl25_494
| ~ spl25_104
| ~ spl25_456 ),
inference(avatar_split_clause,[],[f4673,f4316,f1341,f4688]) ).
fof(f4688,plain,
( spl25_494
<=> szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,szszuzczcdt0(szszuzczcdt0(xK))),szszuzczcdt0(szszuzczcdt0(xK))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_494])]) ).
fof(f4673,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,szszuzczcdt0(szszuzczcdt0(xK))),szszuzczcdt0(szszuzczcdt0(xK)))
| ~ spl25_104
| ~ spl25_456 ),
inference(resolution,[],[f4317,f1342]) ).
fof(f4686,plain,
( spl25_493
| ~ spl25_110
| ~ spl25_456 ),
inference(avatar_split_clause,[],[f4675,f4316,f1368,f4683]) ).
fof(f4683,plain,
( spl25_493
<=> xT = sdtpldt0(sdtmndt0(xT,sK19(szszuzczcdt0(xK))),sK19(szszuzczcdt0(xK))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_493])]) ).
fof(f4675,plain,
( xT = sdtpldt0(sdtmndt0(xT,sK19(szszuzczcdt0(xK))),sK19(szszuzczcdt0(xK)))
| ~ spl25_110
| ~ spl25_456 ),
inference(resolution,[],[f4317,f1369]) ).
fof(f4666,plain,
( ~ spl25_12
| spl25_492
| ~ spl25_34 ),
inference(avatar_split_clause,[],[f4661,f746,f4664,f629]) ).
fof(f4664,plain,
( spl25_492
<=> ! [X2,X1,X3] :
( ~ aElementOf0(X2,szNzAzT0)
| aSubsetOf0(X1,slbdtsldtrb0(sK3(X2,X3,xT),X2))
| ~ aSet0(X3)
| ~ aSet0(slbdtsldtrb0(sK3(X2,X3,xT),X2))
| ~ aSubsetOf0(xT,slbdtsldtrb0(X3,X2))
| ~ aSubsetOf0(X1,xT)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_492])]) ).
fof(f4661,plain,
( ! [X2,X3,X1] :
( ~ aElementOf0(X2,szNzAzT0)
| ~ aSubsetOf0(X1,xT)
| ~ aSubsetOf0(xT,slbdtsldtrb0(X3,X2))
| ~ aSet0(slbdtsldtrb0(sK3(X2,X3,xT),X2))
| ~ isFinite0(xT)
| ~ aSet0(X1)
| ~ aSet0(X3)
| aSubsetOf0(X1,slbdtsldtrb0(sK3(X2,X3,xT),X2)) )
| ~ spl25_34 ),
inference(resolution,[],[f1638,f366]) ).
fof(f366,plain,
! [X2,X0,X1] :
( aSubsetOf0(X2,slbdtsldtrb0(sK3(X0,X1,X2),X0))
| ~ isFinite0(X2)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSubsetOf0(X2,slbdtsldtrb0(X1,X0))
| ~ aSet0(X1) ),
inference(cnf_transformation,[],[f253]) ).
fof(f1638,plain,
( ! [X31,X30] :
( ~ aSubsetOf0(xT,X31)
| ~ aSet0(X30)
| ~ aSubsetOf0(X30,xT)
| ~ aSet0(X31)
| aSubsetOf0(X30,X31) )
| ~ spl25_34 ),
inference(resolution,[],[f380,f748]) ).
fof(f380,plain,
! [X2,X0,X1] :
( ~ aSet0(X2)
| ~ aSubsetOf0(X1,X2)
| aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X2,X0)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f138,plain,
! [X0,X1,X2] :
( ~ aSet0(X2)
| ~ aSet0(X0)
| ~ aSubsetOf0(X2,X0)
| ~ aSet0(X1)
| ~ aSubsetOf0(X1,X2)
| aSubsetOf0(X1,X0) ),
inference(flattening,[],[f137]) ).
fof(f137,plain,
! [X1,X2,X0] :
( aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X2,X0)
| ~ aSet0(X0)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(ennf_transformation,[],[f100]) ).
fof(f100,plain,
! [X1,X2,X0] :
( ( aSet0(X0)
& aSet0(X1)
& aSet0(X2) )
=> ( ( aSubsetOf0(X1,X2)
& aSubsetOf0(X2,X0) )
=> aSubsetOf0(X1,X0) ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X2,X0,X1] :
( ( aSet0(X0)
& aSet0(X1)
& aSet0(X2) )
=> ( ( aSubsetOf0(X0,X1)
& aSubsetOf0(X1,X2) )
=> aSubsetOf0(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubTrans) ).
fof(f4659,plain,
( ~ spl25_29
| spl25_456 ),
inference(avatar_split_clause,[],[f4658,f4316,f718]) ).
fof(f4658,plain,
( ~ aElementOf0(xK,szNzAzT0)
| spl25_456 ),
inference(resolution,[],[f4318,f346]) ).
fof(f4318,plain,
( ~ aElementOf0(szszuzczcdt0(xK),szNzAzT0)
| spl25_456 ),
inference(avatar_component_clause,[],[f4316]) ).
fof(f4649,plain,
( spl25_491
| ~ spl25_86 ),
inference(avatar_split_clause,[],[f4628,f1115,f4646]) ).
fof(f4646,plain,
( spl25_491
<=> szmzizndt0(sdtlpdtrp0(xN,szszuzczcdt0(szmzizndt0(szNzAzT0)))) = sdtlpdtrp0(xe,szszuzczcdt0(szmzizndt0(szNzAzT0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_491])]) ).
fof(f4628,plain,
( szmzizndt0(sdtlpdtrp0(xN,szszuzczcdt0(szmzizndt0(szNzAzT0)))) = sdtlpdtrp0(xe,szszuzczcdt0(szmzizndt0(szNzAzT0)))
| ~ spl25_86 ),
inference(resolution,[],[f922,f1117]) ).
fof(f4644,plain,
( spl25_490
| ~ spl25_311 ),
inference(avatar_split_clause,[],[f4631,f2983,f4641]) ).
fof(f4641,plain,
( spl25_490
<=> szmzizndt0(sdtlpdtrp0(xN,szszuzczcdt0(sK13(szNzAzT0)))) = sdtlpdtrp0(xe,szszuzczcdt0(sK13(szNzAzT0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_490])]) ).
fof(f4631,plain,
( szmzizndt0(sdtlpdtrp0(xN,szszuzczcdt0(sK13(szNzAzT0)))) = sdtlpdtrp0(xe,szszuzczcdt0(sK13(szNzAzT0)))
| ~ spl25_311 ),
inference(resolution,[],[f922,f2985]) ).
fof(f4639,plain,
( spl25_489
| ~ spl25_29 ),
inference(avatar_split_clause,[],[f4629,f718,f4636]) ).
fof(f4636,plain,
( spl25_489
<=> szmzizndt0(sdtlpdtrp0(xN,szszuzczcdt0(xK))) = sdtlpdtrp0(xe,szszuzczcdt0(xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_489])]) ).
fof(f4629,plain,
( szmzizndt0(sdtlpdtrp0(xN,szszuzczcdt0(xK))) = sdtlpdtrp0(xe,szszuzczcdt0(xK))
| ~ spl25_29 ),
inference(resolution,[],[f922,f720]) ).
fof(f4624,plain,
( ~ spl25_488
| spl25_459
| ~ spl25_479 ),
inference(avatar_split_clause,[],[f4587,f4530,f4329,f4621]) ).
fof(f4587,plain,
( ~ sdtlseqdt0(szmzizndt0(szNzAzT0),xK)
| spl25_459
| ~ spl25_479 ),
inference(backward_demodulation,[],[f4331,f4532]) ).
fof(f4331,plain,
( ~ sdtlseqdt0(sK6(xd),xK)
| spl25_459 ),
inference(avatar_component_clause,[],[f4329]) ).
fof(f4614,plain,
( spl25_487
| ~ spl25_347
| ~ spl25_479 ),
inference(avatar_split_clause,[],[f4569,f4530,f3326,f4611]) ).
fof(f3326,plain,
( spl25_347
<=> sK19(sz00) = sdtlpdtrp0(xd,sK6(xd)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_347])]) ).
fof(f4569,plain,
( sdtlpdtrp0(xd,szmzizndt0(szNzAzT0)) = sK19(sz00)
| ~ spl25_347
| ~ spl25_479 ),
inference(backward_demodulation,[],[f3328,f4532]) ).
fof(f3328,plain,
( sK19(sz00) = sdtlpdtrp0(xd,sK6(xd))
| ~ spl25_347 ),
inference(avatar_component_clause,[],[f3326]) ).
fof(f4609,plain,
( ~ spl25_486
| ~ spl25_479
| spl25_480 ),
inference(avatar_split_clause,[],[f4589,f4534,f4530,f4606]) ).
fof(f4589,plain,
( ~ aElementOf0(sK11(szNzAzT0,szmzizndt0(szNzAzT0)),szNzAzT0)
| ~ spl25_479
| spl25_480 ),
inference(backward_demodulation,[],[f4535,f4532]) ).
fof(f4560,plain,
( spl25_484
| spl25_485
| ~ spl25_235
| ~ spl25_311 ),
inference(avatar_split_clause,[],[f4527,f2983,f2306,f4557,f4553]) ).
fof(f4553,plain,
( spl25_484
<=> aElementOf0(sK11(szNzAzT0,sK13(szNzAzT0)),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_484])]) ).
fof(f4527,plain,
( szmzizndt0(szNzAzT0) = sK13(szNzAzT0)
| aElementOf0(sK11(szNzAzT0,sK13(szNzAzT0)),szNzAzT0)
| ~ spl25_235
| ~ spl25_311 ),
inference(resolution,[],[f2307,f2985]) ).
fof(f4551,plain,
( spl25_154
| spl25_483
| ~ spl25_2
| ~ spl25_235 ),
inference(avatar_split_clause,[],[f4520,f2306,f580,f4548,f1662]) ).
fof(f4520,plain,
( aElementOf0(sK11(szNzAzT0,sz00),szNzAzT0)
| sz00 = szmzizndt0(szNzAzT0)
| ~ spl25_2
| ~ spl25_235 ),
inference(resolution,[],[f2307,f582]) ).
fof(f4546,plain,
( spl25_481
| spl25_482
| ~ spl25_29
| ~ spl25_235 ),
inference(avatar_split_clause,[],[f4524,f2306,f718,f4543,f4539]) ).
fof(f4524,plain,
( xK = szmzizndt0(szNzAzT0)
| aElementOf0(sK11(szNzAzT0,xK),szNzAzT0)
| ~ spl25_29
| ~ spl25_235 ),
inference(resolution,[],[f2307,f720]) ).
fof(f4537,plain,
( spl25_479
| spl25_480
| ~ spl25_217
| ~ spl25_235 ),
inference(avatar_split_clause,[],[f4526,f2306,f2190,f4534,f4530]) ).
fof(f4526,plain,
( aElementOf0(sK11(szNzAzT0,sK6(xd)),szNzAzT0)
| szmzizndt0(szNzAzT0) = sK6(xd)
| ~ spl25_217
| ~ spl25_235 ),
inference(resolution,[],[f2307,f2192]) ).
fof(f4512,plain,
( spl25_478
| ~ spl25_104
| ~ spl25_217 ),
inference(avatar_split_clause,[],[f4488,f2190,f1341,f4509]) ).
fof(f4509,plain,
( spl25_478
<=> szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,szszuzczcdt0(sK6(xd))),szszuzczcdt0(sK6(xd))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_478])]) ).
fof(f4488,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,szszuzczcdt0(sK6(xd))),szszuzczcdt0(sK6(xd)))
| ~ spl25_104
| ~ spl25_217 ),
inference(resolution,[],[f1342,f2192]) ).
fof(f4507,plain,
( spl25_477
| ~ spl25_86
| ~ spl25_104 ),
inference(avatar_split_clause,[],[f4485,f1341,f1115,f4504]) ).
fof(f4504,plain,
( spl25_477
<=> szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,szszuzczcdt0(szmzizndt0(szNzAzT0))),szszuzczcdt0(szmzizndt0(szNzAzT0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_477])]) ).
fof(f4485,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,szszuzczcdt0(szmzizndt0(szNzAzT0))),szszuzczcdt0(szmzizndt0(szNzAzT0)))
| ~ spl25_86
| ~ spl25_104 ),
inference(resolution,[],[f1342,f1117]) ).
fof(f4502,plain,
( spl25_476
| ~ spl25_29
| ~ spl25_104 ),
inference(avatar_split_clause,[],[f4486,f1341,f718,f4499]) ).
fof(f4499,plain,
( spl25_476
<=> szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,szszuzczcdt0(xK)),szszuzczcdt0(xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_476])]) ).
fof(f4486,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,szszuzczcdt0(xK)),szszuzczcdt0(xK))
| ~ spl25_29
| ~ spl25_104 ),
inference(resolution,[],[f1342,f720]) ).
fof(f4497,plain,
( spl25_475
| ~ spl25_104
| ~ spl25_311 ),
inference(avatar_split_clause,[],[f4489,f2983,f1341,f4494]) ).
fof(f4494,plain,
( spl25_475
<=> szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,szszuzczcdt0(sK13(szNzAzT0))),szszuzczcdt0(sK13(szNzAzT0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_475])]) ).
fof(f4489,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,szszuzczcdt0(sK13(szNzAzT0))),szszuzczcdt0(sK13(szNzAzT0)))
| ~ spl25_104
| ~ spl25_311 ),
inference(resolution,[],[f1342,f2985]) ).
fof(f4461,plain,
( spl25_473
| spl25_474
| ~ spl25_466 ),
inference(avatar_split_clause,[],[f4448,f4402,f4458,f4454]) ).
fof(f4454,plain,
( spl25_473
<=> aElementOf0(sK13(sdtlbdtrb0(xc,sK13(sdtmndt0(xO,sK2)))),sdtlbdtrb0(xc,sK13(sdtmndt0(xO,sK2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_473])]) ).
fof(f4458,plain,
( spl25_474
<=> slcrc0 = sdtlbdtrb0(xc,sK13(sdtmndt0(xO,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_474])]) ).
fof(f4402,plain,
( spl25_466
<=> aSet0(sdtlbdtrb0(xc,sK13(sdtmndt0(xO,sK2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_466])]) ).
fof(f4448,plain,
( slcrc0 = sdtlbdtrb0(xc,sK13(sdtmndt0(xO,sK2)))
| aElementOf0(sK13(sdtlbdtrb0(xc,sK13(sdtmndt0(xO,sK2)))),sdtlbdtrb0(xc,sK13(sdtmndt0(xO,sK2))))
| ~ spl25_466 ),
inference(resolution,[],[f4404,f462]) ).
fof(f4404,plain,
( aSet0(sdtlbdtrb0(xc,sK13(sdtmndt0(xO,sK2))))
| ~ spl25_466 ),
inference(avatar_component_clause,[],[f4402]) ).
fof(f4443,plain,
( ~ spl25_471
| spl25_472
| spl25_130
| ~ spl25_129 ),
inference(avatar_split_clause,[],[f4433,f1491,f1495,f4440,f4436]) ).
fof(f4436,plain,
( spl25_471
<=> isFinite0(sdtlpdtrp0(xN,xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_471])]) ).
fof(f4440,plain,
( spl25_472
<=> aElementOf0(szmzazxdt0(sdtlpdtrp0(xN,xK)),sdtlpdtrp0(xN,xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_472])]) ).
fof(f4433,plain,
( slcrc0 = sdtlpdtrp0(xN,xK)
| aElementOf0(szmzazxdt0(sdtlpdtrp0(xN,xK)),sdtlpdtrp0(xN,xK))
| ~ isFinite0(sdtlpdtrp0(xN,xK))
| ~ spl25_129 ),
inference(resolution,[],[f528,f1492]) ).
fof(f1492,plain,
( aSubsetOf0(sdtlpdtrp0(xN,xK),szNzAzT0)
| ~ spl25_129 ),
inference(avatar_component_clause,[],[f1491]) ).
fof(f4428,plain,
( spl25_470
| ~ spl25_25
| ~ spl25_7
| ~ spl25_8 ),
inference(avatar_split_clause,[],[f4424,f609,f605,f698,f4426]) ).
fof(f698,plain,
( spl25_25
<=> isFinite0(slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_25])]) ).
fof(f4424,plain,
( ! [X0] :
( ~ aSet0(slcrc0)
| ~ isFinite0(slcrc0)
| ~ aSubsetOf0(X0,slcrc0)
| sdtlseqdt0(sbrdtbr0(X0),sz00) )
| ~ spl25_8 ),
inference(superposition,[],[f526,f611]) ).
fof(f4422,plain,
( ~ spl25_2
| spl25_175
| ~ spl25_469
| ~ spl25_176
| ~ spl25_94 ),
inference(avatar_split_clause,[],[f4417,f1196,f1872,f4419,f1865,f580]) ).
fof(f1865,plain,
( spl25_175
<=> isFinite0(sdtmndt0(xS,szmzizndt0(xS))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_175])]) ).
fof(f4417,plain,
( ~ aSet0(sdtmndt0(xS,szmzizndt0(xS)))
| slcrc0 != szDzozmdt0(sdtlpdtrp0(xC,sz00))
| isFinite0(sdtmndt0(xS,szmzizndt0(xS)))
| ~ aElementOf0(sz00,szNzAzT0)
| ~ spl25_94 ),
inference(superposition,[],[f369,f1198]) ).
fof(f4414,plain,
( ~ spl25_19
| spl25_468
| ~ spl25_422 ),
inference(avatar_split_clause,[],[f4384,f4087,f4412,f664]) ).
fof(f4412,plain,
( spl25_468
<=> ! [X1] :
( sdtlcdtrc0(xc,sdtlbdtrb0(xc,sK13(sdtmndt0(xO,sK2)))) = X1
| aElementOf0(sK20(xc,sdtlbdtrb0(xc,sK13(sdtmndt0(xO,sK2))),X1),X1)
| ~ aSet0(X1)
| aElementOf0(sK21(xc,sdtlbdtrb0(xc,sK13(sdtmndt0(xO,sK2))),X1),sdtlbdtrb0(xc,sK13(sdtmndt0(xO,sK2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_468])]) ).
fof(f4087,plain,
( spl25_422
<=> aSubsetOf0(sdtlbdtrb0(xc,sK13(sdtmndt0(xO,sK2))),szDzozmdt0(xc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_422])]) ).
fof(f4384,plain,
( ! [X1] :
( sdtlcdtrc0(xc,sdtlbdtrb0(xc,sK13(sdtmndt0(xO,sK2)))) = X1
| aElementOf0(sK21(xc,sdtlbdtrb0(xc,sK13(sdtmndt0(xO,sK2))),X1),sdtlbdtrb0(xc,sK13(sdtmndt0(xO,sK2))))
| ~ aSet0(X1)
| aElementOf0(sK20(xc,sdtlbdtrb0(xc,sK13(sdtmndt0(xO,sK2))),X1),X1)
| ~ aFunction0(xc) )
| ~ spl25_422 ),
inference(resolution,[],[f4089,f511]) ).
fof(f4089,plain,
( aSubsetOf0(sdtlbdtrb0(xc,sK13(sdtmndt0(xO,sK2))),szDzozmdt0(xc))
| ~ spl25_422 ),
inference(avatar_component_clause,[],[f4087]) ).
fof(f4410,plain,
( spl25_467
| ~ spl25_19
| ~ spl25_422 ),
inference(avatar_split_clause,[],[f4387,f4087,f664,f4408]) ).
fof(f4408,plain,
( spl25_467
<=> ! [X2] :
( ~ aElementOf0(X2,sdtlbdtrb0(xc,sK13(sdtmndt0(xO,sK2))))
| aElementOf0(sdtlpdtrp0(xc,X2),sdtlcdtrc0(xc,sdtlbdtrb0(xc,sK13(sdtmndt0(xO,sK2))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_467])]) ).
fof(f4387,plain,
( ! [X2] :
( ~ aFunction0(xc)
| ~ aElementOf0(X2,sdtlbdtrb0(xc,sK13(sdtmndt0(xO,sK2))))
| aElementOf0(sdtlpdtrp0(xc,X2),sdtlcdtrc0(xc,sdtlbdtrb0(xc,sK13(sdtmndt0(xO,sK2))))) )
| ~ spl25_422 ),
inference(resolution,[],[f4089,f569]) ).
fof(f569,plain,
! [X0,X1,X7] :
( ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0)
| ~ aElementOf0(X7,X1)
| aElementOf0(sdtlpdtrp0(X0,X7),sdtlcdtrc0(X0,X1)) ),
inference(equality_resolution,[],[f568]) ).
fof(f568,plain,
! [X2,X0,X1,X7] :
( aElementOf0(sdtlpdtrp0(X0,X7),X2)
| ~ aElementOf0(X7,X1)
| sdtlcdtrc0(X0,X1) != X2
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(equality_resolution,[],[f509]) ).
fof(f509,plain,
! [X2,X0,X1,X6,X7] :
( aElementOf0(X6,X2)
| sdtlpdtrp0(X0,X7) != X6
| ~ aElementOf0(X7,X1)
| sdtlcdtrc0(X0,X1) != X2
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f331]) ).
fof(f4406,plain,
( spl25_334
| spl25_465
| ~ spl25_19
| ~ spl25_464
| ~ spl25_422 ),
inference(avatar_split_clause,[],[f4386,f4087,f4393,f664,f4397,f3189]) ).
fof(f3189,plain,
( spl25_334
<=> aElementOf0(sK7(xc),szDzozmdt0(xc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_334])]) ).
fof(f4397,plain,
( spl25_465
<=> isCountable0(sdtlcdtrc0(xc,sdtlbdtrb0(xc,sK13(sdtmndt0(xO,sK2))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_465])]) ).
fof(f4393,plain,
( spl25_464
<=> isCountable0(sdtlbdtrb0(xc,sK13(sdtmndt0(xO,sK2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_464])]) ).
fof(f4386,plain,
( ~ isCountable0(sdtlbdtrb0(xc,sK13(sdtmndt0(xO,sK2))))
| ~ aFunction0(xc)
| isCountable0(sdtlcdtrc0(xc,sdtlbdtrb0(xc,sK13(sdtmndt0(xO,sK2)))))
| aElementOf0(sK7(xc),szDzozmdt0(xc))
| ~ spl25_422 ),
inference(resolution,[],[f4089,f396]) ).
fof(f4405,plain,
( ~ spl25_19
| spl25_466
| ~ spl25_422 ),
inference(avatar_split_clause,[],[f4382,f4087,f4402,f664]) ).
fof(f4382,plain,
( aSet0(sdtlbdtrb0(xc,sK13(sdtmndt0(xO,sK2))))
| ~ aFunction0(xc)
| ~ spl25_422 ),
inference(resolution,[],[f4089,f951]) ).
fof(f951,plain,
! [X4,X5] :
( ~ aSubsetOf0(X4,szDzozmdt0(X5))
| aSet0(X4)
| ~ aFunction0(X5) ),
inference(resolution,[],[f486,f416]) ).
fof(f416,plain,
! [X0] :
( aSet0(szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f169]) ).
fof(f169,plain,
! [X0] :
( ~ aFunction0(X0)
| aSet0(szDzozmdt0(X0)) ),
inference(ennf_transformation,[],[f64]) ).
fof(f64,axiom,
! [X0] :
( aFunction0(X0)
=> aSet0(szDzozmdt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDomSet) ).
fof(f4400,plain,
( ~ spl25_464
| spl25_338
| ~ spl25_19
| spl25_465
| ~ spl25_422 ),
inference(avatar_split_clause,[],[f4385,f4087,f4397,f664,f3207,f4393]) ).
fof(f3207,plain,
( spl25_338
<=> aElementOf0(sK6(xc),szDzozmdt0(xc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_338])]) ).
fof(f4385,plain,
( isCountable0(sdtlcdtrc0(xc,sdtlbdtrb0(xc,sK13(sdtmndt0(xO,sK2)))))
| ~ aFunction0(xc)
| aElementOf0(sK6(xc),szDzozmdt0(xc))
| ~ isCountable0(sdtlbdtrb0(xc,sK13(sdtmndt0(xO,sK2))))
| ~ spl25_422 ),
inference(resolution,[],[f4089,f397]) ).
fof(f4391,plain,
( spl25_463
| ~ spl25_19
| ~ spl25_422 ),
inference(avatar_split_clause,[],[f4383,f4087,f664,f4389]) ).
fof(f4389,plain,
( spl25_463
<=> ! [X0] :
( sdtlpdtrp0(xc,sK21(xc,sdtlbdtrb0(xc,sK13(sdtmndt0(xO,sK2))),X0)) = sK20(xc,sdtlbdtrb0(xc,sK13(sdtmndt0(xO,sK2))),X0)
| sdtlcdtrc0(xc,sdtlbdtrb0(xc,sK13(sdtmndt0(xO,sK2)))) = X0
| aElementOf0(sK20(xc,sdtlbdtrb0(xc,sK13(sdtmndt0(xO,sK2))),X0),X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_463])]) ).
fof(f4383,plain,
( ! [X0] :
( ~ aFunction0(xc)
| sdtlpdtrp0(xc,sK21(xc,sdtlbdtrb0(xc,sK13(sdtmndt0(xO,sK2))),X0)) = sK20(xc,sdtlbdtrb0(xc,sK13(sdtmndt0(xO,sK2))),X0)
| ~ aSet0(X0)
| aElementOf0(sK20(xc,sdtlbdtrb0(xc,sK13(sdtmndt0(xO,sK2))),X0),X0)
| sdtlcdtrc0(xc,sdtlbdtrb0(xc,sK13(sdtmndt0(xO,sK2)))) = X0 )
| ~ spl25_422 ),
inference(resolution,[],[f4089,f512]) ).
fof(f4372,plain,
( ~ spl25_462
| spl25_460
| ~ spl25_461 ),
inference(avatar_split_clause,[],[f4359,f4340,f4336,f4369]) ).
fof(f4369,plain,
( spl25_462
<=> aElementOf0(sK11(xS,szmzizndt0(xS)),xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_462])]) ).
fof(f4336,plain,
( spl25_460
<=> aElementOf0(sK11(xS,sK13(xS)),xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_460])]) ).
fof(f4340,plain,
( spl25_461
<=> sK13(xS) = szmzizndt0(xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_461])]) ).
fof(f4359,plain,
( ~ aElementOf0(sK11(xS,szmzizndt0(xS)),xS)
| spl25_460
| ~ spl25_461 ),
inference(backward_demodulation,[],[f4337,f4342]) ).
fof(f4342,plain,
( sK13(xS) = szmzizndt0(xS)
| ~ spl25_461 ),
inference(avatar_component_clause,[],[f4340]) ).
fof(f4337,plain,
( ~ aElementOf0(sK11(xS,sK13(xS)),xS)
| spl25_460 ),
inference(avatar_component_clause,[],[f4336]) ).
fof(f4343,plain,
( spl25_460
| spl25_461
| ~ spl25_233
| ~ spl25_312 ),
inference(avatar_split_clause,[],[f4334,f2988,f2297,f4340,f4336]) ).
fof(f2297,plain,
( spl25_233
<=> ! [X4] :
( szmzizndt0(xS) = X4
| ~ aElementOf0(X4,xS)
| aElementOf0(sK11(xS,X4),xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_233])]) ).
fof(f2988,plain,
( spl25_312
<=> aElementOf0(sK13(xS),xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_312])]) ).
fof(f4334,plain,
( sK13(xS) = szmzizndt0(xS)
| aElementOf0(sK11(xS,sK13(xS)),xS)
| ~ spl25_233
| ~ spl25_312 ),
inference(resolution,[],[f2298,f2990]) ).
fof(f2990,plain,
( aElementOf0(sK13(xS),xS)
| ~ spl25_312 ),
inference(avatar_component_clause,[],[f2988]) ).
fof(f2298,plain,
( ! [X4] :
( ~ aElementOf0(X4,xS)
| aElementOf0(sK11(xS,X4),xS)
| szmzizndt0(xS) = X4 )
| ~ spl25_233 ),
inference(avatar_component_clause,[],[f2297]) ).
fof(f4332,plain,
( spl25_458
| ~ spl25_217
| ~ spl25_459
| ~ spl25_29
| ~ spl25_349 ),
inference(avatar_split_clause,[],[f4309,f3348,f718,f4329,f2190,f4325]) ).
fof(f3348,plain,
( spl25_349
<=> sdtlseqdt0(xK,sK6(xd)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_349])]) ).
fof(f4309,plain,
( ~ sdtlseqdt0(sK6(xd),xK)
| ~ aElementOf0(sK6(xd),szNzAzT0)
| xK = sK6(xd)
| ~ spl25_29
| ~ spl25_349 ),
inference(resolution,[],[f1643,f3350]) ).
fof(f3350,plain,
( sdtlseqdt0(xK,sK6(xd))
| ~ spl25_349 ),
inference(avatar_component_clause,[],[f3348]) ).
fof(f4323,plain,
( ~ spl25_455
| ~ spl25_456
| ~ spl25_29
| spl25_457
| ~ spl25_29 ),
inference(avatar_split_clause,[],[f4307,f718,f4320,f718,f4316,f4312]) ).
fof(f4312,plain,
( spl25_455
<=> sdtlseqdt0(szszuzczcdt0(xK),xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_455])]) ).
fof(f4320,plain,
( spl25_457
<=> xK = szszuzczcdt0(xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_457])]) ).
fof(f4307,plain,
( xK = szszuzczcdt0(xK)
| ~ aElementOf0(xK,szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(xK),szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(xK),xK)
| ~ spl25_29 ),
inference(resolution,[],[f1643,f383]) ).
fof(f4298,plain,
( spl25_454
| ~ spl25_110
| ~ spl25_217 ),
inference(avatar_split_clause,[],[f4271,f2190,f1368,f4295]) ).
fof(f4295,plain,
( spl25_454
<=> xT = sdtpldt0(sdtmndt0(xT,sK19(sK6(xd))),sK19(sK6(xd))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_454])]) ).
fof(f4271,plain,
( xT = sdtpldt0(sdtmndt0(xT,sK19(sK6(xd))),sK19(sK6(xd)))
| ~ spl25_110
| ~ spl25_217 ),
inference(resolution,[],[f1369,f2192]) ).
fof(f4293,plain,
( spl25_453
| ~ spl25_86
| ~ spl25_110 ),
inference(avatar_split_clause,[],[f4268,f1368,f1115,f4290]) ).
fof(f4290,plain,
( spl25_453
<=> xT = sdtpldt0(sdtmndt0(xT,sK19(szmzizndt0(szNzAzT0))),sK19(szmzizndt0(szNzAzT0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_453])]) ).
fof(f4268,plain,
( xT = sdtpldt0(sdtmndt0(xT,sK19(szmzizndt0(szNzAzT0))),sK19(szmzizndt0(szNzAzT0)))
| ~ spl25_86
| ~ spl25_110 ),
inference(resolution,[],[f1369,f1117]) ).
fof(f4288,plain,
( spl25_452
| ~ spl25_2
| ~ spl25_110 ),
inference(avatar_split_clause,[],[f4265,f1368,f580,f4285]) ).
fof(f4285,plain,
( spl25_452
<=> xT = sdtpldt0(sdtmndt0(xT,sK19(sz00)),sK19(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_452])]) ).
fof(f4265,plain,
( xT = sdtpldt0(sdtmndt0(xT,sK19(sz00)),sK19(sz00))
| ~ spl25_2
| ~ spl25_110 ),
inference(resolution,[],[f1369,f582]) ).
fof(f4283,plain,
( spl25_451
| ~ spl25_29
| ~ spl25_110 ),
inference(avatar_split_clause,[],[f4269,f1368,f718,f4280]) ).
fof(f4280,plain,
( spl25_451
<=> xT = sdtpldt0(sdtmndt0(xT,sK19(xK)),sK19(xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_451])]) ).
fof(f4269,plain,
( xT = sdtpldt0(sdtmndt0(xT,sK19(xK)),sK19(xK))
| ~ spl25_29
| ~ spl25_110 ),
inference(resolution,[],[f1369,f720]) ).
fof(f4278,plain,
( spl25_450
| ~ spl25_110
| ~ spl25_311 ),
inference(avatar_split_clause,[],[f4272,f2983,f1368,f4275]) ).
fof(f4275,plain,
( spl25_450
<=> xT = sdtpldt0(sdtmndt0(xT,sK19(sK13(szNzAzT0))),sK19(sK13(szNzAzT0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_450])]) ).
fof(f4272,plain,
( xT = sdtpldt0(sdtmndt0(xT,sK19(sK13(szNzAzT0))),sK19(sK13(szNzAzT0)))
| ~ spl25_110
| ~ spl25_311 ),
inference(resolution,[],[f1369,f2985]) ).
fof(f4264,plain,
( spl25_449
| ~ spl25_107
| ~ spl25_311 ),
inference(avatar_split_clause,[],[f4238,f2983,f1355,f4261]) ).
fof(f4261,plain,
( spl25_449
<=> xT = sdtpldt0(sdtmndt0(xT,sK14(sK13(szNzAzT0))),sK14(sK13(szNzAzT0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_449])]) ).
fof(f4238,plain,
( xT = sdtpldt0(sdtmndt0(xT,sK14(sK13(szNzAzT0))),sK14(sK13(szNzAzT0)))
| ~ spl25_107
| ~ spl25_311 ),
inference(resolution,[],[f1356,f2985]) ).
fof(f4259,plain,
( spl25_448
| ~ spl25_107
| ~ spl25_217 ),
inference(avatar_split_clause,[],[f4237,f2190,f1355,f4256]) ).
fof(f4256,plain,
( spl25_448
<=> xT = sdtpldt0(sdtmndt0(xT,sK14(sK6(xd))),sK14(sK6(xd))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_448])]) ).
fof(f4237,plain,
( xT = sdtpldt0(sdtmndt0(xT,sK14(sK6(xd))),sK14(sK6(xd)))
| ~ spl25_107
| ~ spl25_217 ),
inference(resolution,[],[f1356,f2192]) ).
fof(f4254,plain,
( spl25_447
| ~ spl25_86
| ~ spl25_107 ),
inference(avatar_split_clause,[],[f4234,f1355,f1115,f4251]) ).
fof(f4251,plain,
( spl25_447
<=> xT = sdtpldt0(sdtmndt0(xT,sK14(szmzizndt0(szNzAzT0))),sK14(szmzizndt0(szNzAzT0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_447])]) ).
fof(f4234,plain,
( xT = sdtpldt0(sdtmndt0(xT,sK14(szmzizndt0(szNzAzT0))),sK14(szmzizndt0(szNzAzT0)))
| ~ spl25_86
| ~ spl25_107 ),
inference(resolution,[],[f1356,f1117]) ).
fof(f4249,plain,
( spl25_446
| ~ spl25_29
| ~ spl25_107 ),
inference(avatar_split_clause,[],[f4235,f1355,f718,f4246]) ).
fof(f4246,plain,
( spl25_446
<=> xT = sdtpldt0(sdtmndt0(xT,sK14(xK)),sK14(xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_446])]) ).
fof(f4235,plain,
( xT = sdtpldt0(sdtmndt0(xT,sK14(xK)),sK14(xK))
| ~ spl25_29
| ~ spl25_107 ),
inference(resolution,[],[f1356,f720]) ).
fof(f4244,plain,
( spl25_445
| ~ spl25_2
| ~ spl25_107 ),
inference(avatar_split_clause,[],[f4231,f1355,f580,f4241]) ).
fof(f4241,plain,
( spl25_445
<=> xT = sdtpldt0(sdtmndt0(xT,sK14(sz00)),sK14(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_445])]) ).
fof(f4231,plain,
( xT = sdtpldt0(sdtmndt0(xT,sK14(sz00)),sK14(sz00))
| ~ spl25_2
| ~ spl25_107 ),
inference(resolution,[],[f1356,f582]) ).
fof(f4221,plain,
( spl25_444
| spl25_441
| ~ spl25_426 ),
inference(avatar_split_clause,[],[f4202,f4111,f4205,f4218]) ).
fof(f4218,plain,
( spl25_444
<=> aElementOf0(szmzizndt0(sdtlbdtrb0(xd,sK13(sdtmndt0(xO,sK2)))),sdtlbdtrb0(xd,sK13(sdtmndt0(xO,sK2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_444])]) ).
fof(f4205,plain,
( spl25_441
<=> slcrc0 = sdtlbdtrb0(xd,sK13(sdtmndt0(xO,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_441])]) ).
fof(f4111,plain,
( spl25_426
<=> aSubsetOf0(sdtlbdtrb0(xd,sK13(sdtmndt0(xO,sK2))),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_426])]) ).
fof(f4202,plain,
( slcrc0 = sdtlbdtrb0(xd,sK13(sdtmndt0(xO,sK2)))
| aElementOf0(szmzizndt0(sdtlbdtrb0(xd,sK13(sdtmndt0(xO,sK2)))),sdtlbdtrb0(xd,sK13(sdtmndt0(xO,sK2))))
| ~ spl25_426 ),
inference(resolution,[],[f4113,f547]) ).
fof(f4113,plain,
( aSubsetOf0(sdtlbdtrb0(xd,sK13(sdtmndt0(xO,sK2))),szNzAzT0)
| ~ spl25_426 ),
inference(avatar_component_clause,[],[f4111]) ).
fof(f4216,plain,
( spl25_443
| ~ spl25_14
| ~ spl25_426 ),
inference(avatar_split_clause,[],[f4203,f4111,f639,f4213]) ).
fof(f4213,plain,
( spl25_443
<=> aSet0(sdtlbdtrb0(xd,sK13(sdtmndt0(xO,sK2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_443])]) ).
fof(f4203,plain,
( aSet0(sdtlbdtrb0(xd,sK13(sdtmndt0(xO,sK2))))
| ~ spl25_14
| ~ spl25_426 ),
inference(resolution,[],[f4113,f949]) ).
fof(f4211,plain,
( spl25_441
| spl25_442
| ~ spl25_426 ),
inference(avatar_split_clause,[],[f4201,f4111,f4209,f4205]) ).
fof(f4209,plain,
( spl25_442
<=> ! [X0] :
( szmzizndt0(sdtlbdtrb0(xd,sK13(sdtmndt0(xO,sK2)))) = X0
| ~ aElementOf0(X0,sdtlbdtrb0(xd,sK13(sdtmndt0(xO,sK2))))
| aElementOf0(sK11(sdtlbdtrb0(xd,sK13(sdtmndt0(xO,sK2))),X0),sdtlbdtrb0(xd,sK13(sdtmndt0(xO,sK2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_442])]) ).
fof(f4201,plain,
( ! [X0] :
( szmzizndt0(sdtlbdtrb0(xd,sK13(sdtmndt0(xO,sK2)))) = X0
| aElementOf0(sK11(sdtlbdtrb0(xd,sK13(sdtmndt0(xO,sK2))),X0),sdtlbdtrb0(xd,sK13(sdtmndt0(xO,sK2))))
| slcrc0 = sdtlbdtrb0(xd,sK13(sdtmndt0(xO,sK2)))
| ~ aElementOf0(X0,sdtlbdtrb0(xd,sK13(sdtmndt0(xO,sK2)))) )
| ~ spl25_426 ),
inference(resolution,[],[f4113,f440]) ).
fof(f4200,plain,
( ~ spl25_12
| spl25_440 ),
inference(avatar_split_clause,[],[f4195,f4198,f629]) ).
fof(f4198,plain,
( spl25_440
<=> ! [X2,X1,X3] :
( ~ aElementOf0(X2,szNzAzT0)
| ~ aSubsetOf0(xT,slbdtsldtrb0(X3,X2))
| aElementOf0(sK19(X1),slbdtsldtrb0(sK3(X2,X3,xT),X2))
| ~ aSet0(slbdtsldtrb0(sK3(X2,X3,xT),X2))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_440])]) ).
fof(f4195,plain,
! [X2,X3,X1] :
( ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(X3)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(slbdtsldtrb0(sK3(X2,X3,xT),X2))
| aElementOf0(sK19(X1),slbdtsldtrb0(sK3(X2,X3,xT),X2))
| ~ aSubsetOf0(xT,slbdtsldtrb0(X3,X2))
| ~ isFinite0(xT) ),
inference(resolution,[],[f1322,f366]) ).
fof(f1322,plain,
! [X14,X15] :
( ~ aSubsetOf0(xT,X15)
| ~ aElementOf0(X14,szNzAzT0)
| ~ aSet0(X15)
| aElementOf0(sK19(X14),X15) ),
inference(resolution,[],[f485,f506]) ).
fof(f506,plain,
! [X0] :
( aElementOf0(sK19(X0),xT)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f324]) ).
fof(f4190,plain,
( spl25_436
| spl25_439
| ~ spl25_425 ),
inference(avatar_split_clause,[],[f4171,f4105,f4187,f4174]) ).
fof(f4174,plain,
( spl25_436
<=> slcrc0 = sdtlbdtrb0(xN,sK13(sdtmndt0(xO,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_436])]) ).
fof(f4187,plain,
( spl25_439
<=> aElementOf0(szmzizndt0(sdtlbdtrb0(xN,sK13(sdtmndt0(xO,sK2)))),sdtlbdtrb0(xN,sK13(sdtmndt0(xO,sK2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_439])]) ).
fof(f4105,plain,
( spl25_425
<=> aSubsetOf0(sdtlbdtrb0(xN,sK13(sdtmndt0(xO,sK2))),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_425])]) ).
fof(f4171,plain,
( aElementOf0(szmzizndt0(sdtlbdtrb0(xN,sK13(sdtmndt0(xO,sK2)))),sdtlbdtrb0(xN,sK13(sdtmndt0(xO,sK2))))
| slcrc0 = sdtlbdtrb0(xN,sK13(sdtmndt0(xO,sK2)))
| ~ spl25_425 ),
inference(resolution,[],[f4107,f547]) ).
fof(f4107,plain,
( aSubsetOf0(sdtlbdtrb0(xN,sK13(sdtmndt0(xO,sK2))),szNzAzT0)
| ~ spl25_425 ),
inference(avatar_component_clause,[],[f4105]) ).
fof(f4185,plain,
( spl25_438
| ~ spl25_14
| ~ spl25_425 ),
inference(avatar_split_clause,[],[f4172,f4105,f639,f4182]) ).
fof(f4182,plain,
( spl25_438
<=> aSet0(sdtlbdtrb0(xN,sK13(sdtmndt0(xO,sK2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_438])]) ).
fof(f4172,plain,
( aSet0(sdtlbdtrb0(xN,sK13(sdtmndt0(xO,sK2))))
| ~ spl25_14
| ~ spl25_425 ),
inference(resolution,[],[f4107,f949]) ).
fof(f4180,plain,
( spl25_436
| spl25_437
| ~ spl25_425 ),
inference(avatar_split_clause,[],[f4170,f4105,f4178,f4174]) ).
fof(f4178,plain,
( spl25_437
<=> ! [X0] :
( ~ aElementOf0(X0,sdtlbdtrb0(xN,sK13(sdtmndt0(xO,sK2))))
| szmzizndt0(sdtlbdtrb0(xN,sK13(sdtmndt0(xO,sK2)))) = X0
| aElementOf0(sK11(sdtlbdtrb0(xN,sK13(sdtmndt0(xO,sK2))),X0),sdtlbdtrb0(xN,sK13(sdtmndt0(xO,sK2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_437])]) ).
fof(f4170,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtlbdtrb0(xN,sK13(sdtmndt0(xO,sK2))))
| aElementOf0(sK11(sdtlbdtrb0(xN,sK13(sdtmndt0(xO,sK2))),X0),sdtlbdtrb0(xN,sK13(sdtmndt0(xO,sK2))))
| slcrc0 = sdtlbdtrb0(xN,sK13(sdtmndt0(xO,sK2)))
| szmzizndt0(sdtlbdtrb0(xN,sK13(sdtmndt0(xO,sK2)))) = X0 )
| ~ spl25_425 ),
inference(resolution,[],[f4107,f440]) ).
fof(f4166,plain,
( spl25_435
| spl25_433
| ~ spl25_424 ),
inference(avatar_split_clause,[],[f4147,f4099,f4155,f4163]) ).
fof(f4163,plain,
( spl25_435
<=> aElementOf0(szmzizndt0(sdtlbdtrb0(xC,sK13(sdtmndt0(xO,sK2)))),sdtlbdtrb0(xC,sK13(sdtmndt0(xO,sK2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_435])]) ).
fof(f4155,plain,
( spl25_433
<=> slcrc0 = sdtlbdtrb0(xC,sK13(sdtmndt0(xO,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_433])]) ).
fof(f4099,plain,
( spl25_424
<=> aSubsetOf0(sdtlbdtrb0(xC,sK13(sdtmndt0(xO,sK2))),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_424])]) ).
fof(f4147,plain,
( slcrc0 = sdtlbdtrb0(xC,sK13(sdtmndt0(xO,sK2)))
| aElementOf0(szmzizndt0(sdtlbdtrb0(xC,sK13(sdtmndt0(xO,sK2)))),sdtlbdtrb0(xC,sK13(sdtmndt0(xO,sK2))))
| ~ spl25_424 ),
inference(resolution,[],[f4101,f547]) ).
fof(f4101,plain,
( aSubsetOf0(sdtlbdtrb0(xC,sK13(sdtmndt0(xO,sK2))),szNzAzT0)
| ~ spl25_424 ),
inference(avatar_component_clause,[],[f4099]) ).
fof(f4161,plain,
( spl25_433
| spl25_434
| ~ spl25_424 ),
inference(avatar_split_clause,[],[f4146,f4099,f4159,f4155]) ).
fof(f4159,plain,
( spl25_434
<=> ! [X0] :
( ~ aElementOf0(X0,sdtlbdtrb0(xC,sK13(sdtmndt0(xO,sK2))))
| aElementOf0(sK11(sdtlbdtrb0(xC,sK13(sdtmndt0(xO,sK2))),X0),sdtlbdtrb0(xC,sK13(sdtmndt0(xO,sK2))))
| szmzizndt0(sdtlbdtrb0(xC,sK13(sdtmndt0(xO,sK2)))) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_434])]) ).
fof(f4146,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtlbdtrb0(xC,sK13(sdtmndt0(xO,sK2))))
| szmzizndt0(sdtlbdtrb0(xC,sK13(sdtmndt0(xO,sK2)))) = X0
| slcrc0 = sdtlbdtrb0(xC,sK13(sdtmndt0(xO,sK2)))
| aElementOf0(sK11(sdtlbdtrb0(xC,sK13(sdtmndt0(xO,sK2))),X0),sdtlbdtrb0(xC,sK13(sdtmndt0(xO,sK2)))) )
| ~ spl25_424 ),
inference(resolution,[],[f4101,f440]) ).
fof(f4153,plain,
( spl25_432
| ~ spl25_14
| ~ spl25_424 ),
inference(avatar_split_clause,[],[f4148,f4099,f639,f4150]) ).
fof(f4150,plain,
( spl25_432
<=> aSet0(sdtlbdtrb0(xC,sK13(sdtmndt0(xO,sK2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_432])]) ).
fof(f4148,plain,
( aSet0(sdtlbdtrb0(xC,sK13(sdtmndt0(xO,sK2))))
| ~ spl25_14
| ~ spl25_424 ),
inference(resolution,[],[f4101,f949]) ).
fof(f4145,plain,
( spl25_431
| ~ spl25_12 ),
inference(avatar_split_clause,[],[f4140,f629,f4143]) ).
fof(f4143,plain,
( spl25_431
<=> ! [X2,X1,X3] :
( ~ aElementOf0(X2,szNzAzT0)
| ~ aSubsetOf0(xT,slbdtsldtrb0(X3,X2))
| ~ aSet0(X3)
| ~ aSet0(slbdtsldtrb0(sK3(X2,X3,xT),X2))
| aElementOf0(sK14(X1),slbdtsldtrb0(sK3(X2,X3,xT),X2))
| ~ aElementOf0(X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_431])]) ).
fof(f4140,plain,
! [X2,X3,X1] :
( ~ isFinite0(xT)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(sK14(X1),slbdtsldtrb0(sK3(X2,X3,xT),X2))
| ~ aSet0(slbdtsldtrb0(sK3(X2,X3,xT),X2))
| ~ aSet0(X3)
| ~ aSubsetOf0(xT,slbdtsldtrb0(X3,X2)) ),
inference(resolution,[],[f1321,f366]) ).
fof(f1321,plain,
! [X12,X13] :
( ~ aSubsetOf0(xT,X13)
| aElementOf0(sK14(X12),X13)
| ~ aSet0(X13)
| ~ aElementOf0(X12,szNzAzT0) ),
inference(resolution,[],[f485,f479]) ).
fof(f479,plain,
! [X0] :
( aElementOf0(sK14(X0),xT)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f307]) ).
fof(f307,plain,
! [X0] :
( ( aSubsetOf0(sK15(X0),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X3] :
( ~ aElementOf0(X3,slbdtsldtrb0(sK15(X0),xk))
| sdtlpdtrp0(sdtlpdtrp0(xC,X0),X3) = sK14(X0)
| ~ aSet0(X3) )
& isCountable0(sK15(X0))
& aElementOf0(sK14(X0),xT) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15])],[f221,f306,f305]) ).
fof(f305,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X3] :
( ~ aElementOf0(X3,slbdtsldtrb0(X2,xk))
| sdtlpdtrp0(sdtlpdtrp0(xC,X0),X3) = X1
| ~ aSet0(X3) )
& isCountable0(X2) )
& aElementOf0(X1,xT) )
=> ( ? [X2] :
( aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X3] :
( ~ aElementOf0(X3,slbdtsldtrb0(X2,xk))
| sdtlpdtrp0(sdtlpdtrp0(xC,X0),X3) = sK14(X0)
| ~ aSet0(X3) )
& isCountable0(X2) )
& aElementOf0(sK14(X0),xT) ) ),
introduced(choice_axiom,[]) ).
fof(f306,plain,
! [X0] :
( ? [X2] :
( aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X3] :
( ~ aElementOf0(X3,slbdtsldtrb0(X2,xk))
| sdtlpdtrp0(sdtlpdtrp0(xC,X0),X3) = sK14(X0)
| ~ aSet0(X3) )
& isCountable0(X2) )
=> ( aSubsetOf0(sK15(X0),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X3] :
( ~ aElementOf0(X3,slbdtsldtrb0(sK15(X0),xk))
| sdtlpdtrp0(sdtlpdtrp0(xC,X0),X3) = sK14(X0)
| ~ aSet0(X3) )
& isCountable0(sK15(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f221,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X3] :
( ~ aElementOf0(X3,slbdtsldtrb0(X2,xk))
| sdtlpdtrp0(sdtlpdtrp0(xC,X0),X3) = X1
| ~ aSet0(X3) )
& isCountable0(X2) )
& aElementOf0(X1,xT) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f220]) ).
fof(f220,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ! [X3] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X3) = X1
| ~ aElementOf0(X3,slbdtsldtrb0(X2,xk))
| ~ aSet0(X3) )
& aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& isCountable0(X2) )
& aElementOf0(X1,xT) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f89]) ).
fof(f89,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ? [X1] :
( ? [X2] :
( ! [X3] :
( ( aElementOf0(X3,slbdtsldtrb0(X2,xk))
& aSet0(X3) )
=> sdtlpdtrp0(sdtlpdtrp0(xC,X0),X3) = X1 )
& aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& isCountable0(X2) )
& aElementOf0(X1,xT) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4411) ).
fof(f4135,plain,
( spl25_428
| spl25_430
| ~ spl25_423 ),
inference(avatar_split_clause,[],[f4116,f4093,f4132,f4124]) ).
fof(f4124,plain,
( spl25_428
<=> slcrc0 = sdtlbdtrb0(xe,sK13(sdtmndt0(xO,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_428])]) ).
fof(f4132,plain,
( spl25_430
<=> aElementOf0(szmzizndt0(sdtlbdtrb0(xe,sK13(sdtmndt0(xO,sK2)))),sdtlbdtrb0(xe,sK13(sdtmndt0(xO,sK2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_430])]) ).
fof(f4093,plain,
( spl25_423
<=> aSubsetOf0(sdtlbdtrb0(xe,sK13(sdtmndt0(xO,sK2))),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_423])]) ).
fof(f4116,plain,
( aElementOf0(szmzizndt0(sdtlbdtrb0(xe,sK13(sdtmndt0(xO,sK2)))),sdtlbdtrb0(xe,sK13(sdtmndt0(xO,sK2))))
| slcrc0 = sdtlbdtrb0(xe,sK13(sdtmndt0(xO,sK2)))
| ~ spl25_423 ),
inference(resolution,[],[f4095,f547]) ).
fof(f4095,plain,
( aSubsetOf0(sdtlbdtrb0(xe,sK13(sdtmndt0(xO,sK2))),szNzAzT0)
| ~ spl25_423 ),
inference(avatar_component_clause,[],[f4093]) ).
fof(f4130,plain,
( spl25_428
| spl25_429
| ~ spl25_423 ),
inference(avatar_split_clause,[],[f4115,f4093,f4128,f4124]) ).
fof(f4128,plain,
( spl25_429
<=> ! [X0] :
( ~ aElementOf0(X0,sdtlbdtrb0(xe,sK13(sdtmndt0(xO,sK2))))
| szmzizndt0(sdtlbdtrb0(xe,sK13(sdtmndt0(xO,sK2)))) = X0
| aElementOf0(sK11(sdtlbdtrb0(xe,sK13(sdtmndt0(xO,sK2))),X0),sdtlbdtrb0(xe,sK13(sdtmndt0(xO,sK2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_429])]) ).
fof(f4115,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtlbdtrb0(xe,sK13(sdtmndt0(xO,sK2))))
| aElementOf0(sK11(sdtlbdtrb0(xe,sK13(sdtmndt0(xO,sK2))),X0),sdtlbdtrb0(xe,sK13(sdtmndt0(xO,sK2))))
| slcrc0 = sdtlbdtrb0(xe,sK13(sdtmndt0(xO,sK2)))
| szmzizndt0(sdtlbdtrb0(xe,sK13(sdtmndt0(xO,sK2)))) = X0 )
| ~ spl25_423 ),
inference(resolution,[],[f4095,f440]) ).
fof(f4122,plain,
( spl25_427
| ~ spl25_14
| ~ spl25_423 ),
inference(avatar_split_clause,[],[f4117,f4093,f639,f4119]) ).
fof(f4119,plain,
( spl25_427
<=> aSet0(sdtlbdtrb0(xe,sK13(sdtmndt0(xO,sK2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_427])]) ).
fof(f4117,plain,
( aSet0(sdtlbdtrb0(xe,sK13(sdtmndt0(xO,sK2))))
| ~ spl25_14
| ~ spl25_423 ),
inference(resolution,[],[f4095,f949]) ).
fof(f4114,plain,
( spl25_426
| ~ spl25_15
| ~ spl25_28
| ~ spl25_344 ),
inference(avatar_split_clause,[],[f4109,f3279,f713,f644,f4111]) ).
fof(f4109,plain,
( aSubsetOf0(sdtlbdtrb0(xd,sK13(sdtmndt0(xO,sK2))),szNzAzT0)
| ~ spl25_15
| ~ spl25_28
| ~ spl25_344 ),
inference(forward_demodulation,[],[f4085,f646]) ).
fof(f4085,plain,
( aSubsetOf0(sdtlbdtrb0(xd,sK13(sdtmndt0(xO,sK2))),szDzozmdt0(xd))
| ~ spl25_28
| ~ spl25_344 ),
inference(resolution,[],[f3294,f715]) ).
fof(f4108,plain,
( spl25_425
| ~ spl25_3
| ~ spl25_24
| ~ spl25_344 ),
inference(avatar_split_clause,[],[f4103,f3279,f693,f585,f4105]) ).
fof(f4103,plain,
( aSubsetOf0(sdtlbdtrb0(xN,sK13(sdtmndt0(xO,sK2))),szNzAzT0)
| ~ spl25_3
| ~ spl25_24
| ~ spl25_344 ),
inference(forward_demodulation,[],[f4082,f587]) ).
fof(f4082,plain,
( aSubsetOf0(sdtlbdtrb0(xN,sK13(sdtmndt0(xO,sK2))),szDzozmdt0(xN))
| ~ spl25_24
| ~ spl25_344 ),
inference(resolution,[],[f3294,f695]) ).
fof(f4102,plain,
( spl25_424
| ~ spl25_17
| ~ spl25_31
| ~ spl25_344 ),
inference(avatar_split_clause,[],[f4097,f3279,f729,f654,f4099]) ).
fof(f4097,plain,
( aSubsetOf0(sdtlbdtrb0(xC,sK13(sdtmndt0(xO,sK2))),szNzAzT0)
| ~ spl25_17
| ~ spl25_31
| ~ spl25_344 ),
inference(forward_demodulation,[],[f4083,f656]) ).
fof(f4083,plain,
( aSubsetOf0(sdtlbdtrb0(xC,sK13(sdtmndt0(xO,sK2))),szDzozmdt0(xC))
| ~ spl25_31
| ~ spl25_344 ),
inference(resolution,[],[f3294,f731]) ).
fof(f4096,plain,
( spl25_423
| ~ spl25_13
| ~ spl25_33
| ~ spl25_344 ),
inference(avatar_split_clause,[],[f4091,f3279,f741,f634,f4093]) ).
fof(f4091,plain,
( aSubsetOf0(sdtlbdtrb0(xe,sK13(sdtmndt0(xO,sK2))),szNzAzT0)
| ~ spl25_13
| ~ spl25_33
| ~ spl25_344 ),
inference(forward_demodulation,[],[f4084,f636]) ).
fof(f4084,plain,
( aSubsetOf0(sdtlbdtrb0(xe,sK13(sdtmndt0(xO,sK2))),szDzozmdt0(xe))
| ~ spl25_33
| ~ spl25_344 ),
inference(resolution,[],[f3294,f743]) ).
fof(f4090,plain,
( spl25_422
| ~ spl25_19
| ~ spl25_344 ),
inference(avatar_split_clause,[],[f4081,f3279,f664,f4087]) ).
fof(f4081,plain,
( aSubsetOf0(sdtlbdtrb0(xc,sK13(sdtmndt0(xO,sK2))),szDzozmdt0(xc))
| ~ spl25_19
| ~ spl25_344 ),
inference(resolution,[],[f3294,f666]) ).
fof(f4069,plain,
( ~ spl25_2
| spl25_21
| ~ spl25_418 ),
inference(avatar_split_clause,[],[f4064,f4037,f676,f580]) ).
fof(f676,plain,
( spl25_21
<=> isCountable0(slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_21])]) ).
fof(f4037,plain,
( spl25_418
<=> slcrc0 = sK15(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_418])]) ).
fof(f4064,plain,
( isCountable0(slcrc0)
| ~ aElementOf0(sz00,szNzAzT0)
| ~ spl25_418 ),
inference(superposition,[],[f480,f4039]) ).
fof(f4039,plain,
( slcrc0 = sK15(sz00)
| ~ spl25_418 ),
inference(avatar_component_clause,[],[f4037]) ).
fof(f480,plain,
! [X0] :
( isCountable0(sK15(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f307]) ).
fof(f4068,plain,
( ~ spl25_2
| spl25_421
| ~ spl25_92
| ~ spl25_418 ),
inference(avatar_split_clause,[],[f4062,f4037,f1152,f4066,f580]) ).
fof(f4066,plain,
( spl25_421
<=> ! [X0] :
( ~ aSet0(X0)
| ~ aElementOf0(X0,slbdtsldtrb0(slcrc0,sz00))
| sK14(sz00) = sdtlpdtrp0(sdtlpdtrp0(xC,sz00),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_421])]) ).
fof(f4062,plain,
( ! [X0] :
( ~ aSet0(X0)
| ~ aElementOf0(sz00,szNzAzT0)
| sK14(sz00) = sdtlpdtrp0(sdtlpdtrp0(xC,sz00),X0)
| ~ aElementOf0(X0,slbdtsldtrb0(slcrc0,sz00)) )
| ~ spl25_92
| ~ spl25_418 ),
inference(superposition,[],[f1779,f4039]) ).
fof(f1779,plain,
( ! [X3,X0] :
( ~ aElementOf0(X3,slbdtsldtrb0(sK15(X0),sz00))
| ~ aSet0(X3)
| sdtlpdtrp0(sdtlpdtrp0(xC,X0),X3) = sK14(X0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl25_92 ),
inference(backward_demodulation,[],[f481,f1154]) ).
fof(f481,plain,
! [X3,X0] :
( ~ aElementOf0(X3,slbdtsldtrb0(sK15(X0),xk))
| sdtlpdtrp0(sdtlpdtrp0(xC,X0),X3) = sK14(X0)
| ~ aSet0(X3)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f307]) ).
fof(f4055,plain,
( spl25_420
| ~ spl25_44
| ~ spl25_418 ),
inference(avatar_split_clause,[],[f4045,f4037,f820,f4052]) ).
fof(f4052,plain,
( spl25_420
<=> aSubsetOf0(slcrc0,sdtmndt0(xS,szmzizndt0(xS))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_420])]) ).
fof(f820,plain,
( spl25_44
<=> aSubsetOf0(sK15(sz00),sdtmndt0(xS,szmzizndt0(xS))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_44])]) ).
fof(f4045,plain,
( aSubsetOf0(slcrc0,sdtmndt0(xS,szmzizndt0(xS)))
| ~ spl25_44
| ~ spl25_418 ),
inference(backward_demodulation,[],[f822,f4039]) ).
fof(f822,plain,
( aSubsetOf0(sK15(sz00),sdtmndt0(xS,szmzizndt0(xS)))
| ~ spl25_44 ),
inference(avatar_component_clause,[],[f820]) ).
fof(f4044,plain,
( spl25_418
| spl25_419
| ~ spl25_416 ),
inference(avatar_split_clause,[],[f4031,f4012,f4041,f4037]) ).
fof(f4041,plain,
( spl25_419
<=> aElementOf0(sK13(sK15(sz00)),sK15(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_419])]) ).
fof(f4031,plain,
( aElementOf0(sK13(sK15(sz00)),sK15(sz00))
| slcrc0 = sK15(sz00)
| ~ spl25_416 ),
inference(resolution,[],[f4014,f462]) ).
fof(f4030,plain,
( ~ spl25_114
| spl25_417
| ~ spl25_415 ),
inference(avatar_split_clause,[],[f4024,f3996,f4027,f1392]) ).
fof(f1392,plain,
( spl25_114
<=> aSet0(sdtmndt0(xO,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_114])]) ).
fof(f4027,plain,
( spl25_417
<=> sdtmndt0(xO,sK2) = sdtpldt0(sdtmndt0(sdtmndt0(xO,sK2),sK13(xO)),sK13(xO)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_417])]) ).
fof(f3996,plain,
( spl25_415
<=> aElementOf0(sK13(xO),sdtmndt0(xO,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_415])]) ).
fof(f4024,plain,
( sdtmndt0(xO,sK2) = sdtpldt0(sdtmndt0(sdtmndt0(xO,sK2),sK13(xO)),sK13(xO))
| ~ aSet0(sdtmndt0(xO,sK2))
| ~ spl25_415 ),
inference(resolution,[],[f3998,f410]) ).
fof(f3998,plain,
( aElementOf0(sK13(xO),sdtmndt0(xO,sK2))
| ~ spl25_415 ),
inference(avatar_component_clause,[],[f3996]) ).
fof(f4015,plain,
( ~ spl25_221
| spl25_416
| ~ spl25_74
| ~ spl25_44 ),
inference(avatar_split_clause,[],[f4009,f820,f1033,f4012,f2213]) ).
fof(f4009,plain,
( ~ aSet0(xS)
| aSet0(sK15(sz00))
| ~ aElement0(szmzizndt0(xS))
| ~ spl25_44 ),
inference(resolution,[],[f1020,f822]) ).
fof(f3999,plain,
( spl25_414
| spl25_415
| ~ spl25_267
| ~ spl25_320 ),
inference(avatar_split_clause,[],[f3989,f3024,f2584,f3996,f3992]) ).
fof(f3992,plain,
( spl25_414
<=> sK2 = sK13(xO) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_414])]) ).
fof(f2584,plain,
( spl25_267
<=> ! [X0] :
( ~ aElementOf0(X0,xO)
| aElementOf0(X0,sdtmndt0(xO,sK2))
| sK2 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_267])]) ).
fof(f3989,plain,
( aElementOf0(sK13(xO),sdtmndt0(xO,sK2))
| sK2 = sK13(xO)
| ~ spl25_267
| ~ spl25_320 ),
inference(resolution,[],[f2585,f3026]) ).
fof(f2585,plain,
( ! [X0] :
( ~ aElementOf0(X0,xO)
| aElementOf0(X0,sdtmndt0(xO,sK2))
| sK2 = X0 )
| ~ spl25_267 ),
inference(avatar_component_clause,[],[f2584]) ).
fof(f3975,plain,
( spl25_413
| ~ spl25_74
| ~ spl25_312 ),
inference(avatar_split_clause,[],[f3964,f2988,f1033,f3972]) ).
fof(f3972,plain,
( spl25_413
<=> xS = sdtpldt0(sdtmndt0(xS,sK13(xS)),sK13(xS)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_413])]) ).
fof(f3964,plain,
( ~ aSet0(xS)
| xS = sdtpldt0(sdtmndt0(xS,sK13(xS)),sK13(xS))
| ~ spl25_312 ),
inference(resolution,[],[f2990,f410]) ).
fof(f3970,plain,
( ~ spl25_74
| spl25_412
| ~ spl25_312 ),
inference(avatar_split_clause,[],[f3963,f2988,f3967,f1033]) ).
fof(f3967,plain,
( spl25_412
<=> aElement0(sK13(xS)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_412])]) ).
fof(f3963,plain,
( aElement0(sK13(xS))
| ~ aSet0(xS)
| ~ spl25_312 ),
inference(resolution,[],[f2990,f473]) ).
fof(f3940,plain,
( ~ spl25_14
| spl25_411
| ~ spl25_311 ),
inference(avatar_split_clause,[],[f3896,f2983,f3937,f639]) ).
fof(f3937,plain,
( spl25_411
<=> szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK13(szNzAzT0)),sK13(szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_411])]) ).
fof(f3896,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK13(szNzAzT0)),sK13(szNzAzT0))
| ~ aSet0(szNzAzT0)
| ~ spl25_311 ),
inference(resolution,[],[f2985,f410]) ).
fof(f3935,plain,
( spl25_410
| ~ spl25_311 ),
inference(avatar_split_clause,[],[f3891,f2983,f3932]) ).
fof(f3932,plain,
( spl25_410
<=> sK13(szNzAzT0) = sbrdtbr0(slbdtrb0(sK13(szNzAzT0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_410])]) ).
fof(f3891,plain,
( sK13(szNzAzT0) = sbrdtbr0(slbdtrb0(sK13(szNzAzT0)))
| ~ spl25_311 ),
inference(resolution,[],[f2985,f475]) ).
fof(f3930,plain,
( spl25_409
| ~ spl25_311 ),
inference(avatar_split_clause,[],[f3889,f2983,f3927]) ).
fof(f3927,plain,
( spl25_409
<=> szmzizndt0(sdtlpdtrp0(xN,sK13(szNzAzT0))) = sdtlpdtrp0(xe,sK13(szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_409])]) ).
fof(f3889,plain,
( szmzizndt0(sdtlpdtrp0(xN,sK13(szNzAzT0))) = sdtlpdtrp0(xe,sK13(szNzAzT0))
| ~ spl25_311 ),
inference(resolution,[],[f2985,f357]) ).
fof(f3925,plain,
( spl25_407
| spl25_408
| ~ spl25_92
| ~ spl25_126
| ~ spl25_311 ),
inference(avatar_split_clause,[],[f3894,f2983,f1478,f1152,f3922,f3918]) ).
fof(f3918,plain,
( spl25_407
<=> sdtlseqdt0(xK,sK13(szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_407])]) ).
fof(f3922,plain,
( spl25_408
<=> sdtlseqdt0(sK13(szNzAzT0),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_408])]) ).
fof(f3894,plain,
( sdtlseqdt0(sK13(szNzAzT0),sz00)
| sdtlseqdt0(xK,sK13(szNzAzT0))
| ~ spl25_92
| ~ spl25_126
| ~ spl25_311 ),
inference(resolution,[],[f2985,f1812]) ).
fof(f3916,plain,
( spl25_405
| spl25_406
| ~ spl25_311 ),
inference(avatar_split_clause,[],[f3888,f2983,f3913,f3909]) ).
fof(f3909,plain,
( spl25_405
<=> sK13(szNzAzT0) = szszuzczcdt0(sK1(sK13(szNzAzT0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_405])]) ).
fof(f3888,plain,
( sz00 = sK13(szNzAzT0)
| sK13(szNzAzT0) = szszuzczcdt0(sK1(sK13(szNzAzT0)))
| ~ spl25_311 ),
inference(resolution,[],[f2985,f348]) ).
fof(f3907,plain,
( ~ spl25_14
| spl25_404
| ~ spl25_311 ),
inference(avatar_split_clause,[],[f3895,f2983,f3904,f639]) ).
fof(f3904,plain,
( spl25_404
<=> aElement0(sK13(szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_404])]) ).
fof(f3895,plain,
( aElement0(sK13(szNzAzT0))
| ~ aSet0(szNzAzT0)
| ~ spl25_311 ),
inference(resolution,[],[f2985,f473]) ).
fof(f3902,plain,
( spl25_403
| ~ spl25_92
| ~ spl25_311 ),
inference(avatar_split_clause,[],[f3893,f2983,f1152,f3899]) ).
fof(f3899,plain,
( spl25_403
<=> szDzozmdt0(sdtlpdtrp0(xC,sK13(szNzAzT0))) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK13(szNzAzT0)),sdtlpdtrp0(xe,sK13(szNzAzT0))),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_403])]) ).
fof(f3893,plain,
( szDzozmdt0(sdtlpdtrp0(xC,sK13(szNzAzT0))) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK13(szNzAzT0)),sdtlpdtrp0(xe,sK13(szNzAzT0))),sz00)
| ~ spl25_92
| ~ spl25_311 ),
inference(resolution,[],[f2985,f1784]) ).
fof(f3887,plain,
( spl25_401
| spl25_402
| ~ spl25_269 ),
inference(avatar_split_clause,[],[f3874,f2628,f3884,f3880]) ).
fof(f3880,plain,
( spl25_401
<=> aElementOf0(sK13(sdtmndt0(szNzAzT0,sz00)),sdtmndt0(szNzAzT0,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_401])]) ).
fof(f3884,plain,
( spl25_402
<=> slcrc0 = sdtmndt0(szNzAzT0,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_402])]) ).
fof(f3874,plain,
( slcrc0 = sdtmndt0(szNzAzT0,sz00)
| aElementOf0(sK13(sdtmndt0(szNzAzT0,sz00)),sdtmndt0(szNzAzT0,sz00))
| ~ spl25_269 ),
inference(resolution,[],[f2629,f462]) ).
fof(f3871,plain,
( ~ spl25_37
| ~ spl25_14
| spl25_269 ),
inference(avatar_split_clause,[],[f3870,f2628,f639,f772]) ).
fof(f3870,plain,
( ~ aSet0(szNzAzT0)
| ~ aElement0(sz00)
| spl25_269 ),
inference(resolution,[],[f2630,f548]) ).
fof(f2630,plain,
( ~ aSet0(sdtmndt0(szNzAzT0,sz00))
| spl25_269 ),
inference(avatar_component_clause,[],[f2628]) ).
fof(f3869,plain,
( ~ spl25_12
| spl25_400
| ~ spl25_34 ),
inference(avatar_split_clause,[],[f3864,f746,f3867,f629]) ).
fof(f3867,plain,
( spl25_400
<=> ! [X0,X1] :
( ~ aSet0(slbdtsldtrb0(sK3(X0,X1,xT),X0))
| ~ aSubsetOf0(xT,slbdtsldtrb0(X1,X0))
| xT = slbdtsldtrb0(sK3(X0,X1,xT),X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(X1)
| ~ aSubsetOf0(slbdtsldtrb0(sK3(X0,X1,xT),X0),xT) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_400])]) ).
fof(f3864,plain,
( ! [X0,X1] :
( ~ aSet0(slbdtsldtrb0(sK3(X0,X1,xT),X0))
| ~ isFinite0(xT)
| ~ aSubsetOf0(slbdtsldtrb0(sK3(X0,X1,xT),X0),xT)
| ~ aSet0(X1)
| ~ aElementOf0(X0,szNzAzT0)
| xT = slbdtsldtrb0(sK3(X0,X1,xT),X0)
| ~ aSubsetOf0(xT,slbdtsldtrb0(X1,X0)) )
| ~ spl25_34 ),
inference(resolution,[],[f1435,f366]) ).
fof(f1435,plain,
( ! [X20] :
( ~ aSubsetOf0(xT,X20)
| ~ aSubsetOf0(X20,xT)
| ~ aSet0(X20)
| xT = X20 )
| ~ spl25_34 ),
inference(resolution,[],[f343,f748]) ).
fof(f343,plain,
! [X0,X1] :
( ~ aSet0(X1)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X0)
| X0 = X1
| ~ aSubsetOf0(X1,X0) ),
inference(cnf_transformation,[],[f223]) ).
fof(f223,plain,
! [X0,X1] :
( ~ aSet0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0)
| X0 = X1
| ~ aSubsetOf0(X0,X1) ),
inference(flattening,[],[f222]) ).
fof(f222,plain,
! [X1,X0] :
( X0 = X1
| ~ aSubsetOf0(X0,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X1,X0] :
( ( aSet0(X1)
& aSet0(X0) )
=> ( ( aSubsetOf0(X0,X1)
& aSubsetOf0(X1,X0) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubASymm) ).
fof(f3861,plain,
( ~ spl25_2
| ~ spl25_176
| spl25_399
| ~ spl25_94 ),
inference(avatar_split_clause,[],[f3850,f1196,f3859,f1872,f580]) ).
fof(f3859,plain,
( spl25_399
<=> ! [X2] :
( aSubsetOf0(sK3(sz00,sdtmndt0(xS,szmzizndt0(xS)),X2),sdtmndt0(xS,szmzizndt0(xS)))
| ~ isFinite0(X2)
| ~ aSubsetOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,sz00))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_399])]) ).
fof(f3850,plain,
( ! [X2] :
( aSubsetOf0(sK3(sz00,sdtmndt0(xS,szmzizndt0(xS)),X2),sdtmndt0(xS,szmzizndt0(xS)))
| ~ aSet0(sdtmndt0(xS,szmzizndt0(xS)))
| ~ aSubsetOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,sz00)))
| ~ isFinite0(X2)
| ~ aElementOf0(sz00,szNzAzT0) )
| ~ spl25_94 ),
inference(superposition,[],[f367,f1198]) ).
fof(f3857,plain,
( spl25_398
| ~ spl25_176
| ~ spl25_2
| ~ spl25_94 ),
inference(avatar_split_clause,[],[f3849,f1196,f580,f1872,f3854]) ).
fof(f3849,plain,
( ~ aElementOf0(sz00,szNzAzT0)
| ~ aSet0(sdtmndt0(xS,szmzizndt0(xS)))
| aSet0(szDzozmdt0(sdtlpdtrp0(xC,sz00)))
| ~ spl25_94 ),
inference(superposition,[],[f544,f1198]) ).
fof(f3847,plain,
( ~ spl25_14
| spl25_397
| ~ spl25_14 ),
inference(avatar_split_clause,[],[f3836,f639,f3845,f639]) ).
fof(f3845,plain,
( spl25_397
<=> ! [X10] :
( aSubsetOf0(szNzAzT0,X10)
| aElement0(sK16(X10,szNzAzT0))
| ~ aSet0(X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_397])]) ).
fof(f3836,plain,
( ! [X10] :
( aSubsetOf0(szNzAzT0,X10)
| ~ aSet0(X10)
| ~ aSet0(szNzAzT0)
| aElement0(sK16(X10,szNzAzT0)) )
| ~ spl25_14 ),
inference(resolution,[],[f1415,f473]) ).
fof(f1415,plain,
( ! [X7] :
( aElementOf0(sK16(X7,szNzAzT0),szNzAzT0)
| ~ aSet0(X7)
| aSubsetOf0(szNzAzT0,X7) )
| ~ spl25_14 ),
inference(resolution,[],[f488,f641]) ).
fof(f488,plain,
! [X0,X1] :
( ~ aSet0(X1)
| aElementOf0(sK16(X0,X1),X1)
| ~ aSet0(X0)
| aSubsetOf0(X1,X0) ),
inference(cnf_transformation,[],[f312]) ).
fof(f3843,plain,
( ~ spl25_14
| spl25_396
| ~ spl25_14 ),
inference(avatar_split_clause,[],[f3837,f639,f3841,f639]) ).
fof(f3841,plain,
( spl25_396
<=> ! [X11] :
( aSubsetOf0(szNzAzT0,X11)
| szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK16(X11,szNzAzT0)),sK16(X11,szNzAzT0))
| ~ aSet0(X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_396])]) ).
fof(f3837,plain,
( ! [X11] :
( aSubsetOf0(szNzAzT0,X11)
| ~ aSet0(X11)
| szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK16(X11,szNzAzT0)),sK16(X11,szNzAzT0))
| ~ aSet0(szNzAzT0) )
| ~ spl25_14 ),
inference(resolution,[],[f1415,f410]) ).
fof(f3823,plain,
( spl25_394
| spl25_395
| ~ spl25_386 ),
inference(avatar_split_clause,[],[f3810,f3679,f3820,f3816]) ).
fof(f3816,plain,
( spl25_394
<=> aElementOf0(sK13(sdtlcdtrc0(xe,szNzAzT0)),sdtlcdtrc0(xe,szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_394])]) ).
fof(f3810,plain,
( slcrc0 = sdtlcdtrc0(xe,szNzAzT0)
| aElementOf0(sK13(sdtlcdtrc0(xe,szNzAzT0)),sdtlcdtrc0(xe,szNzAzT0))
| ~ spl25_386 ),
inference(resolution,[],[f3680,f462]) ).
fof(f3736,plain,
( spl25_202
| ~ spl25_182
| ~ spl25_92
| ~ spl25_93
| ~ spl25_150 ),
inference(avatar_split_clause,[],[f3735,f1612,f1157,f1152,f1989,f2096]) ).
fof(f2096,plain,
( spl25_202
<=> sz00 = sK1(xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_202])]) ).
fof(f1989,plain,
( spl25_182
<=> aElementOf0(sK1(xK),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_182])]) ).
fof(f1157,plain,
( spl25_93
<=> xK = szszuzczcdt0(sK1(xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_93])]) ).
fof(f3735,plain,
( ~ aElementOf0(sK1(xK),szNzAzT0)
| sz00 = sK1(xK)
| ~ spl25_92
| ~ spl25_93
| ~ spl25_150 ),
inference(trivial_inequality_removal,[],[f3734]) ).
fof(f3734,plain,
( ~ aElementOf0(sK1(xK),szNzAzT0)
| sz00 = sK1(xK)
| xK != xK
| ~ spl25_92
| ~ spl25_93
| ~ spl25_150 ),
inference(superposition,[],[f1822,f1159]) ).
fof(f1159,plain,
( xK = szszuzczcdt0(sK1(xK))
| ~ spl25_93 ),
inference(avatar_component_clause,[],[f1157]) ).
fof(f3728,plain,
( ~ spl25_33
| ~ spl25_245
| ~ spl25_13
| spl25_386 ),
inference(avatar_split_clause,[],[f3727,f3679,f634,f2402,f741]) ).
fof(f3727,plain,
( ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| ~ aFunction0(xe)
| ~ spl25_13
| spl25_386 ),
inference(forward_demodulation,[],[f3726,f636]) ).
fof(f3726,plain,
( ~ aFunction0(xe)
| ~ aSubsetOf0(szNzAzT0,szDzozmdt0(xe))
| spl25_386 ),
inference(resolution,[],[f3681,f567]) ).
fof(f567,plain,
! [X0,X1] :
( aSet0(sdtlcdtrc0(X0,X1))
| ~ aFunction0(X0)
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) ),
inference(equality_resolution,[],[f510]) ).
fof(f510,plain,
! [X2,X0,X1] :
( aSet0(X2)
| sdtlcdtrc0(X0,X1) != X2
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f331]) ).
fof(f3681,plain,
( ~ aSet0(sdtlcdtrc0(xe,szNzAzT0))
| spl25_386 ),
inference(avatar_component_clause,[],[f3679]) ).
fof(f3723,plain,
( ~ spl25_303
| ~ spl25_182
| spl25_306
| ~ spl25_92
| ~ spl25_93
| ~ spl25_141 ),
inference(avatar_split_clause,[],[f3721,f1556,f1157,f1152,f2922,f1989,f2908]) ).
fof(f2908,plain,
( spl25_303
<=> sdtlseqdt0(xK,xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_303])]) ).
fof(f2922,plain,
( spl25_306
<=> sdtlseqdt0(sK1(xK),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_306])]) ).
fof(f3721,plain,
( sdtlseqdt0(sK1(xK),sz00)
| ~ aElementOf0(sK1(xK),szNzAzT0)
| ~ sdtlseqdt0(xK,xK)
| ~ spl25_92
| ~ spl25_93
| ~ spl25_141 ),
inference(superposition,[],[f1818,f1159]) ).
fof(f3718,plain,
( spl25_392
| spl25_393
| ~ spl25_379 ),
inference(avatar_split_clause,[],[f3705,f3625,f3715,f3711]) ).
fof(f3711,plain,
( spl25_392
<=> slcrc0 = sdtlcdtrc0(xC,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_392])]) ).
fof(f3715,plain,
( spl25_393
<=> aElementOf0(sK13(sdtlcdtrc0(xC,szNzAzT0)),sdtlcdtrc0(xC,szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_393])]) ).
fof(f3705,plain,
( aElementOf0(sK13(sdtlcdtrc0(xC,szNzAzT0)),sdtlcdtrc0(xC,szNzAzT0))
| slcrc0 = sdtlcdtrc0(xC,szNzAzT0)
| ~ spl25_379 ),
inference(resolution,[],[f3626,f462]) ).
fof(f3704,plain,
( ~ spl25_386
| spl25_391
| ~ spl25_149 ),
inference(avatar_split_clause,[],[f3675,f1604,f3702,f3679]) ).
fof(f3702,plain,
( spl25_391
<=> ! [X3] :
( sdtpldt0(sdtmndt0(sdtlcdtrc0(xe,szNzAzT0),sdtlpdtrp0(xe,X3)),sdtlpdtrp0(xe,X3)) = sdtlcdtrc0(xe,szNzAzT0)
| ~ aElementOf0(X3,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_391])]) ).
fof(f3675,plain,
( ! [X3] :
( sdtpldt0(sdtmndt0(sdtlcdtrc0(xe,szNzAzT0),sdtlpdtrp0(xe,X3)),sdtlpdtrp0(xe,X3)) = sdtlcdtrc0(xe,szNzAzT0)
| ~ aElementOf0(X3,szNzAzT0)
| ~ aSet0(sdtlcdtrc0(xe,szNzAzT0)) )
| ~ spl25_149 ),
inference(resolution,[],[f1605,f410]) ).
fof(f3700,plain,
( ~ spl25_245
| spl25_390
| ~ spl25_33
| ~ spl25_13
| ~ spl25_149 ),
inference(avatar_split_clause,[],[f3696,f1604,f634,f741,f3698,f2402]) ).
fof(f3698,plain,
( spl25_390
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlpdtrp0(xe,X0) = sdtlpdtrp0(xe,sK22(xe,szNzAzT0,sdtlpdtrp0(xe,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_390])]) ).
fof(f3696,plain,
( ! [X0] :
( ~ aFunction0(xe)
| ~ aElementOf0(X0,szNzAzT0)
| sdtlpdtrp0(xe,X0) = sdtlpdtrp0(xe,sK22(xe,szNzAzT0,sdtlpdtrp0(xe,X0)))
| ~ aSubsetOf0(szNzAzT0,szNzAzT0) )
| ~ spl25_13
| ~ spl25_149 ),
inference(forward_demodulation,[],[f3672,f636]) ).
fof(f3672,plain,
( ! [X0] :
( ~ aFunction0(xe)
| sdtlpdtrp0(xe,X0) = sdtlpdtrp0(xe,sK22(xe,szNzAzT0,sdtlpdtrp0(xe,X0)))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSubsetOf0(szNzAzT0,szDzozmdt0(xe)) )
| ~ spl25_149 ),
inference(resolution,[],[f1605,f570]) ).
fof(f3695,plain,
( spl25_389
| ~ spl25_2
| ~ spl25_41
| ~ spl25_149 ),
inference(avatar_split_clause,[],[f3677,f1604,f803,f580,f3692]) ).
fof(f803,plain,
( spl25_41
<=> sdtlpdtrp0(xe,sz00) = szmzizndt0(xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_41])]) ).
fof(f3677,plain,
( ~ aElementOf0(sz00,szNzAzT0)
| aElementOf0(szmzizndt0(xS),sdtlcdtrc0(xe,szNzAzT0))
| ~ spl25_41
| ~ spl25_149 ),
inference(superposition,[],[f1605,f805]) ).
fof(f805,plain,
( sdtlpdtrp0(xe,sz00) = szmzizndt0(xS)
| ~ spl25_41 ),
inference(avatar_component_clause,[],[f803]) ).
fof(f3690,plain,
( ~ spl25_33
| ~ spl25_245
| spl25_388
| ~ spl25_13
| ~ spl25_149 ),
inference(avatar_split_clause,[],[f3686,f1604,f634,f3688,f2402,f741]) ).
fof(f3688,plain,
( spl25_388
<=> ! [X1] :
( aElementOf0(sK22(xe,szNzAzT0,sdtlpdtrp0(xe,X1)),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_388])]) ).
fof(f3686,plain,
( ! [X1] :
( aElementOf0(sK22(xe,szNzAzT0,sdtlpdtrp0(xe,X1)),szNzAzT0)
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aFunction0(xe) )
| ~ spl25_13
| ~ spl25_149 ),
inference(forward_demodulation,[],[f3673,f636]) ).
fof(f3673,plain,
( ! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aSubsetOf0(szNzAzT0,szDzozmdt0(xe))
| aElementOf0(sK22(xe,szNzAzT0,sdtlpdtrp0(xe,X1)),szNzAzT0)
| ~ aFunction0(xe) )
| ~ spl25_149 ),
inference(resolution,[],[f1605,f571]) ).
fof(f3685,plain,
( ~ spl25_386
| spl25_387
| ~ spl25_149 ),
inference(avatar_split_clause,[],[f3674,f1604,f3683,f3679]) ).
fof(f3674,plain,
( ! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| aElement0(sdtlpdtrp0(xe,X2))
| ~ aSet0(sdtlcdtrc0(xe,szNzAzT0)) )
| ~ spl25_149 ),
inference(resolution,[],[f1605,f473]) ).
fof(f3671,plain,
( ~ spl25_245
| ~ spl25_31
| ~ spl25_17
| spl25_379 ),
inference(avatar_split_clause,[],[f3670,f3625,f654,f729,f2402]) ).
fof(f3670,plain,
( ~ aFunction0(xC)
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| ~ spl25_17
| spl25_379 ),
inference(forward_demodulation,[],[f3669,f656]) ).
fof(f3669,plain,
( ~ aSubsetOf0(szNzAzT0,szDzozmdt0(xC))
| ~ aFunction0(xC)
| spl25_379 ),
inference(resolution,[],[f3627,f567]) ).
fof(f3627,plain,
( ~ aSet0(sdtlcdtrc0(xC,szNzAzT0))
| spl25_379 ),
inference(avatar_component_clause,[],[f3625]) ).
fof(f3668,plain,
( spl25_384
| spl25_385
| ~ spl25_369 ),
inference(avatar_split_clause,[],[f3655,f3567,f3665,f3661]) ).
fof(f3661,plain,
( spl25_384
<=> aElementOf0(sK13(sdtlcdtrc0(xN,szNzAzT0)),sdtlcdtrc0(xN,szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_384])]) ).
fof(f3665,plain,
( spl25_385
<=> slcrc0 = sdtlcdtrc0(xN,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_385])]) ).
fof(f3655,plain,
( slcrc0 = sdtlcdtrc0(xN,szNzAzT0)
| aElementOf0(sK13(sdtlcdtrc0(xN,szNzAzT0)),sdtlcdtrc0(xN,szNzAzT0))
| ~ spl25_369 ),
inference(resolution,[],[f3568,f462]) ).
fof(f3654,plain,
( ~ spl25_24
| ~ spl25_245
| ~ spl25_3
| spl25_369 ),
inference(avatar_split_clause,[],[f3653,f3567,f585,f2402,f693]) ).
fof(f3653,plain,
( ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| ~ aFunction0(xN)
| ~ spl25_3
| spl25_369 ),
inference(forward_demodulation,[],[f3652,f587]) ).
fof(f3652,plain,
( ~ aFunction0(xN)
| ~ aSubsetOf0(szNzAzT0,szDzozmdt0(xN))
| spl25_369 ),
inference(resolution,[],[f3569,f567]) ).
fof(f3569,plain,
( ~ aSet0(sdtlcdtrc0(xN,szNzAzT0))
| spl25_369 ),
inference(avatar_component_clause,[],[f3567]) ).
fof(f3651,plain,
( spl25_383
| ~ spl25_7
| ~ spl25_356 ),
inference(avatar_split_clause,[],[f3643,f3414,f605,f3648]) ).
fof(f3648,plain,
( spl25_383
<=> slcrc0 = sdtpldt0(sdtmndt0(slcrc0,sK19(sz00)),sK19(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_383])]) ).
fof(f3414,plain,
( spl25_356
<=> aElementOf0(sK19(sz00),slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_356])]) ).
fof(f3643,plain,
( ~ aSet0(slcrc0)
| slcrc0 = sdtpldt0(sdtmndt0(slcrc0,sK19(sz00)),sK19(sz00))
| ~ spl25_356 ),
inference(resolution,[],[f3416,f410]) ).
fof(f3416,plain,
( aElementOf0(sK19(sz00),slcrc0)
| ~ spl25_356 ),
inference(avatar_component_clause,[],[f3414]) ).
fof(f3646,plain,
( ~ spl25_7
| spl25_219
| ~ spl25_356 ),
inference(avatar_split_clause,[],[f3642,f3414,f2203,f605]) ).
fof(f3642,plain,
( aElement0(sK19(sz00))
| ~ aSet0(slcrc0)
| ~ spl25_356 ),
inference(resolution,[],[f3416,f473]) ).
fof(f3645,plain,
~ spl25_356,
inference(avatar_contradiction_clause,[],[f3641]) ).
fof(f3641,plain,
( $false
| ~ spl25_356 ),
inference(resolution,[],[f3416,f556]) ).
fof(f3640,plain,
( ~ spl25_379
| spl25_382
| ~ spl25_148 ),
inference(avatar_split_clause,[],[f3616,f1600,f3638,f3625]) ).
fof(f1600,plain,
( spl25_148
<=> ! [X1] :
( aElementOf0(sdtlpdtrp0(xC,X1),sdtlcdtrc0(xC,szNzAzT0))
| ~ aElementOf0(X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_148])]) ).
fof(f3616,plain,
( ! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| aElement0(sdtlpdtrp0(xC,X2))
| ~ aSet0(sdtlcdtrc0(xC,szNzAzT0)) )
| ~ spl25_148 ),
inference(resolution,[],[f1601,f473]) ).
fof(f1601,plain,
( ! [X1] :
( aElementOf0(sdtlpdtrp0(xC,X1),sdtlcdtrc0(xC,szNzAzT0))
| ~ aElementOf0(X1,szNzAzT0) )
| ~ spl25_148 ),
inference(avatar_component_clause,[],[f1600]) ).
fof(f3636,plain,
( ~ spl25_31
| ~ spl25_245
| spl25_381
| ~ spl25_17
| ~ spl25_148 ),
inference(avatar_split_clause,[],[f3632,f1600,f654,f3634,f2402,f729]) ).
fof(f3634,plain,
( spl25_381
<=> ! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(sK22(xC,szNzAzT0,sdtlpdtrp0(xC,X1)),szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_381])]) ).
fof(f3632,plain,
( ! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(sK22(xC,szNzAzT0,sdtlpdtrp0(xC,X1)),szNzAzT0)
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| ~ aFunction0(xC) )
| ~ spl25_17
| ~ spl25_148 ),
inference(forward_demodulation,[],[f3615,f656]) ).
fof(f3615,plain,
( ! [X1] :
( ~ aSubsetOf0(szNzAzT0,szDzozmdt0(xC))
| ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(sK22(xC,szNzAzT0,sdtlpdtrp0(xC,X1)),szNzAzT0)
| ~ aFunction0(xC) )
| ~ spl25_148 ),
inference(resolution,[],[f1601,f571]) ).
fof(f3631,plain,
( ~ spl25_379
| spl25_380
| ~ spl25_148 ),
inference(avatar_split_clause,[],[f3617,f1600,f3629,f3625]) ).
fof(f3629,plain,
( spl25_380
<=> ! [X3] :
( ~ aElementOf0(X3,szNzAzT0)
| sdtlcdtrc0(xC,szNzAzT0) = sdtpldt0(sdtmndt0(sdtlcdtrc0(xC,szNzAzT0),sdtlpdtrp0(xC,X3)),sdtlpdtrp0(xC,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_380])]) ).
fof(f3617,plain,
( ! [X3] :
( ~ aElementOf0(X3,szNzAzT0)
| sdtlcdtrc0(xC,szNzAzT0) = sdtpldt0(sdtmndt0(sdtlcdtrc0(xC,szNzAzT0),sdtlpdtrp0(xC,X3)),sdtlpdtrp0(xC,X3))
| ~ aSet0(sdtlcdtrc0(xC,szNzAzT0)) )
| ~ spl25_148 ),
inference(resolution,[],[f1601,f410]) ).
fof(f3623,plain,
( ~ spl25_245
| ~ spl25_31
| spl25_378
| ~ spl25_17
| ~ spl25_148 ),
inference(avatar_split_clause,[],[f3619,f1600,f654,f3621,f729,f2402]) ).
fof(f3621,plain,
( spl25_378
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlpdtrp0(xC,X0) = sdtlpdtrp0(xC,sK22(xC,szNzAzT0,sdtlpdtrp0(xC,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_378])]) ).
fof(f3619,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ aFunction0(xC)
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| sdtlpdtrp0(xC,X0) = sdtlpdtrp0(xC,sK22(xC,szNzAzT0,sdtlpdtrp0(xC,X0))) )
| ~ spl25_17
| ~ spl25_148 ),
inference(forward_demodulation,[],[f3614,f656]) ).
fof(f3614,plain,
( ! [X0] :
( ~ aSubsetOf0(szNzAzT0,szDzozmdt0(xC))
| ~ aElementOf0(X0,szNzAzT0)
| sdtlpdtrp0(xC,X0) = sdtlpdtrp0(xC,sK22(xC,szNzAzT0,sdtlpdtrp0(xC,X0)))
| ~ aFunction0(xC) )
| ~ spl25_148 ),
inference(resolution,[],[f1601,f570]) ).
fof(f3613,plain,
( ~ spl25_28
| spl25_377
| ~ spl25_245
| ~ spl25_15
| ~ spl25_147 ),
inference(avatar_split_clause,[],[f3609,f1596,f644,f2402,f3611,f713]) ).
fof(f3611,plain,
( spl25_377
<=> ! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(sK22(xd,szNzAzT0,sdtlpdtrp0(xd,X1)),szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_377])]) ).
fof(f1596,plain,
( spl25_147
<=> ! [X3] :
( ~ aElementOf0(X3,szNzAzT0)
| aElementOf0(sdtlpdtrp0(xd,X3),sdtlcdtrc0(xd,szNzAzT0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_147])]) ).
fof(f3609,plain,
( ! [X1] :
( ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(sK22(xd,szNzAzT0,sdtlpdtrp0(xd,X1)),szNzAzT0)
| ~ aFunction0(xd) )
| ~ spl25_15
| ~ spl25_147 ),
inference(forward_demodulation,[],[f3589,f646]) ).
fof(f3589,plain,
( ! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aSubsetOf0(szNzAzT0,szDzozmdt0(xd))
| aElementOf0(sK22(xd,szNzAzT0,sdtlpdtrp0(xd,X1)),szNzAzT0)
| ~ aFunction0(xd) )
| ~ spl25_147 ),
inference(resolution,[],[f1597,f571]) ).
fof(f1597,plain,
( ! [X3] :
( aElementOf0(sdtlpdtrp0(xd,X3),sdtlcdtrc0(xd,szNzAzT0))
| ~ aElementOf0(X3,szNzAzT0) )
| ~ spl25_147 ),
inference(avatar_component_clause,[],[f1596]) ).
fof(f3608,plain,
( spl25_376
| ~ spl25_28
| ~ spl25_245
| ~ spl25_15
| ~ spl25_147 ),
inference(avatar_split_clause,[],[f3604,f1596,f644,f2402,f713,f3606]) ).
fof(f3606,plain,
( spl25_376
<=> ! [X0] :
( sdtlpdtrp0(xd,X0) = sdtlpdtrp0(xd,sK22(xd,szNzAzT0,sdtlpdtrp0(xd,X0)))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_376])]) ).
fof(f3604,plain,
( ! [X0] :
( ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| ~ aFunction0(xd)
| sdtlpdtrp0(xd,X0) = sdtlpdtrp0(xd,sK22(xd,szNzAzT0,sdtlpdtrp0(xd,X0)))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl25_15
| ~ spl25_147 ),
inference(forward_demodulation,[],[f3588,f646]) ).
fof(f3588,plain,
( ! [X0] :
( ~ aFunction0(xd)
| ~ aElementOf0(X0,szNzAzT0)
| sdtlpdtrp0(xd,X0) = sdtlpdtrp0(xd,sK22(xd,szNzAzT0,sdtlpdtrp0(xd,X0)))
| ~ aSubsetOf0(szNzAzT0,szDzozmdt0(xd)) )
| ~ spl25_147 ),
inference(resolution,[],[f1597,f570]) ).
fof(f3603,plain,
( ~ spl25_2
| spl25_375
| ~ spl25_99
| ~ spl25_147 ),
inference(avatar_split_clause,[],[f3593,f1596,f1238,f3600,f580]) ).
fof(f1238,plain,
( spl25_99
<=> sK19(sz00) = sdtlpdtrp0(xd,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_99])]) ).
fof(f3593,plain,
( aElementOf0(sK19(sz00),sdtlcdtrc0(xd,szNzAzT0))
| ~ aElementOf0(sz00,szNzAzT0)
| ~ spl25_99
| ~ spl25_147 ),
inference(superposition,[],[f1597,f1240]) ).
fof(f1240,plain,
( sK19(sz00) = sdtlpdtrp0(xd,sz00)
| ~ spl25_99 ),
inference(avatar_component_clause,[],[f1238]) ).
fof(f3598,plain,
( spl25_355
| ~ spl25_71
| ~ spl25_147 ),
inference(avatar_split_clause,[],[f3590,f1596,f1010,f3410]) ).
fof(f3590,plain,
( ! [X2] :
( ~ aSet0(sdtlcdtrc0(xd,szNzAzT0))
| aElement0(sdtlpdtrp0(xd,X2))
| ~ aElementOf0(X2,szNzAzT0) )
| ~ spl25_147 ),
inference(resolution,[],[f1597,f473]) ).
fof(f3597,plain,
( ~ spl25_71
| spl25_374
| ~ spl25_147 ),
inference(avatar_split_clause,[],[f3591,f1596,f3595,f1010]) ).
fof(f3595,plain,
( spl25_374
<=> ! [X3] :
( ~ aElementOf0(X3,szNzAzT0)
| sdtlcdtrc0(xd,szNzAzT0) = sdtpldt0(sdtmndt0(sdtlcdtrc0(xd,szNzAzT0),sdtlpdtrp0(xd,X3)),sdtlpdtrp0(xd,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_374])]) ).
fof(f3591,plain,
( ! [X3] :
( ~ aElementOf0(X3,szNzAzT0)
| sdtlcdtrc0(xd,szNzAzT0) = sdtpldt0(sdtmndt0(sdtlcdtrc0(xd,szNzAzT0),sdtlpdtrp0(xd,X3)),sdtlpdtrp0(xd,X3))
| ~ aSet0(sdtlcdtrc0(xd,szNzAzT0)) )
| ~ spl25_147 ),
inference(resolution,[],[f1597,f410]) ).
fof(f3587,plain,
( ~ spl25_245
| ~ spl25_24
| spl25_373
| ~ spl25_3
| ~ spl25_146 ),
inference(avatar_split_clause,[],[f3583,f1592,f585,f3585,f693,f2402]) ).
fof(f3585,plain,
( spl25_373
<=> ! [X1] :
( aElementOf0(sK22(xN,szNzAzT0,sdtlpdtrp0(xN,X1)),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_373])]) ).
fof(f1592,plain,
( spl25_146
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(sdtlpdtrp0(xN,X0),sdtlcdtrc0(xN,szNzAzT0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_146])]) ).
fof(f3583,plain,
( ! [X1] :
( aElementOf0(sK22(xN,szNzAzT0,sdtlpdtrp0(xN,X1)),szNzAzT0)
| ~ aFunction0(xN)
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) )
| ~ spl25_3
| ~ spl25_146 ),
inference(forward_demodulation,[],[f3556,f587]) ).
fof(f3556,plain,
( ! [X1] :
( ~ aFunction0(xN)
| aElementOf0(sK22(xN,szNzAzT0,sdtlpdtrp0(xN,X1)),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSubsetOf0(szNzAzT0,szDzozmdt0(xN)) )
| ~ spl25_146 ),
inference(resolution,[],[f1593,f571]) ).
fof(f1593,plain,
( ! [X0] :
( aElementOf0(sdtlpdtrp0(xN,X0),sdtlcdtrc0(xN,szNzAzT0))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl25_146 ),
inference(avatar_component_clause,[],[f1592]) ).
fof(f3582,plain,
( spl25_372
| ~ spl25_245
| ~ spl25_24
| ~ spl25_3
| ~ spl25_146 ),
inference(avatar_split_clause,[],[f3578,f1592,f585,f693,f2402,f3580]) ).
fof(f3580,plain,
( spl25_372
<=> ! [X0] :
( sdtlpdtrp0(xN,X0) = sdtlpdtrp0(xN,sK22(xN,szNzAzT0,sdtlpdtrp0(xN,X0)))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_372])]) ).
fof(f3578,plain,
( ! [X0] :
( ~ aFunction0(xN)
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| sdtlpdtrp0(xN,X0) = sdtlpdtrp0(xN,sK22(xN,szNzAzT0,sdtlpdtrp0(xN,X0)))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl25_3
| ~ spl25_146 ),
inference(forward_demodulation,[],[f3555,f587]) ).
fof(f3555,plain,
( ! [X0] :
( sdtlpdtrp0(xN,X0) = sdtlpdtrp0(xN,sK22(xN,szNzAzT0,sdtlpdtrp0(xN,X0)))
| ~ aSubsetOf0(szNzAzT0,szDzozmdt0(xN))
| ~ aFunction0(xN)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl25_146 ),
inference(resolution,[],[f1593,f570]) ).
fof(f3577,plain,
( ~ spl25_369
| spl25_371
| ~ spl25_146 ),
inference(avatar_split_clause,[],[f3558,f1592,f3575,f3567]) ).
fof(f3575,plain,
( spl25_371
<=> ! [X3] :
( ~ aElementOf0(X3,szNzAzT0)
| sdtpldt0(sdtmndt0(sdtlcdtrc0(xN,szNzAzT0),sdtlpdtrp0(xN,X3)),sdtlpdtrp0(xN,X3)) = sdtlcdtrc0(xN,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_371])]) ).
fof(f3558,plain,
( ! [X3] :
( ~ aElementOf0(X3,szNzAzT0)
| sdtpldt0(sdtmndt0(sdtlcdtrc0(xN,szNzAzT0),sdtlpdtrp0(xN,X3)),sdtlpdtrp0(xN,X3)) = sdtlcdtrc0(xN,szNzAzT0)
| ~ aSet0(sdtlcdtrc0(xN,szNzAzT0)) )
| ~ spl25_146 ),
inference(resolution,[],[f1593,f410]) ).
fof(f3573,plain,
( ~ spl25_369
| spl25_370
| ~ spl25_146 ),
inference(avatar_split_clause,[],[f3557,f1592,f3571,f3567]) ).
fof(f3557,plain,
( ! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(sdtlcdtrc0(xN,szNzAzT0))
| aElement0(sdtlpdtrp0(xN,X2)) )
| ~ spl25_146 ),
inference(resolution,[],[f1593,f473]) ).
fof(f3565,plain,
( spl25_368
| ~ spl25_2
| ~ spl25_35
| ~ spl25_146 ),
inference(avatar_split_clause,[],[f3560,f1592,f751,f580,f3562]) ).
fof(f751,plain,
( spl25_35
<=> xS = sdtlpdtrp0(xN,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_35])]) ).
fof(f3560,plain,
( ~ aElementOf0(sz00,szNzAzT0)
| aElementOf0(xS,sdtlcdtrc0(xN,szNzAzT0))
| ~ spl25_35
| ~ spl25_146 ),
inference(superposition,[],[f1593,f753]) ).
fof(f753,plain,
( xS = sdtlpdtrp0(xN,sz00)
| ~ spl25_35 ),
inference(avatar_component_clause,[],[f751]) ).
fof(f3543,plain,
( spl25_367
| ~ spl25_18
| ~ spl25_118 ),
inference(avatar_split_clause,[],[f3530,f1409,f659,f3540]) ).
fof(f3540,plain,
( spl25_367
<=> ! [X1] :
( aElement0(sK16(X1,xO))
| ~ aSet0(X1)
| aSubsetOf0(xO,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_367])]) ).
fof(f659,plain,
( spl25_18
<=> aSet0(xO) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_18])]) ).
fof(f1409,plain,
( spl25_118
<=> ! [X0] :
( aElement0(X0)
| ~ aElementOf0(X0,xO) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_118])]) ).
fof(f3530,plain,
( ! [X0] :
( ~ aSet0(X0)
| aSubsetOf0(xO,X0)
| aElement0(sK16(X0,xO)) )
| ~ spl25_18
| ~ spl25_118 ),
inference(resolution,[],[f1424,f1410]) ).
fof(f1410,plain,
( ! [X0] :
( ~ aElementOf0(X0,xO)
| aElement0(X0) )
| ~ spl25_118 ),
inference(avatar_component_clause,[],[f1409]) ).
fof(f1424,plain,
( ! [X22] :
( aElementOf0(sK16(X22,xO),xO)
| aSubsetOf0(xO,X22)
| ~ aSet0(X22) )
| ~ spl25_18 ),
inference(resolution,[],[f488,f661]) ).
fof(f661,plain,
( aSet0(xO)
| ~ spl25_18 ),
inference(avatar_component_clause,[],[f659]) ).
fof(f3542,plain,
( ~ spl25_18
| spl25_367
| ~ spl25_18 ),
inference(avatar_split_clause,[],[f3531,f659,f3540,f659]) ).
fof(f3531,plain,
( ! [X1] :
( aElement0(sK16(X1,xO))
| aSubsetOf0(xO,X1)
| ~ aSet0(xO)
| ~ aSet0(X1) )
| ~ spl25_18 ),
inference(resolution,[],[f1424,f473]) ).
fof(f3538,plain,
( spl25_366
| ~ spl25_18
| ~ spl25_18 ),
inference(avatar_split_clause,[],[f3532,f659,f659,f3536]) ).
fof(f3536,plain,
( spl25_366
<=> ! [X2] :
( ~ aSet0(X2)
| aSubsetOf0(xO,X2)
| xO = sdtpldt0(sdtmndt0(xO,sK16(X2,xO)),sK16(X2,xO)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_366])]) ).
fof(f3532,plain,
( ! [X2] :
( ~ aSet0(xO)
| ~ aSet0(X2)
| xO = sdtpldt0(sdtmndt0(xO,sK16(X2,xO)),sK16(X2,xO))
| aSubsetOf0(xO,X2) )
| ~ spl25_18 ),
inference(resolution,[],[f1424,f410]) ).
fof(f3528,plain,
( spl25_365
| ~ spl25_34
| ~ spl25_34 ),
inference(avatar_split_clause,[],[f3517,f746,f746,f3526]) ).
fof(f3526,plain,
( spl25_365
<=> ! [X0] :
( ~ aSet0(X0)
| aElement0(sK16(X0,xT))
| aSubsetOf0(xT,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_365])]) ).
fof(f3517,plain,
( ! [X0] :
( ~ aSet0(xT)
| ~ aSet0(X0)
| aSubsetOf0(xT,X0)
| aElement0(sK16(X0,xT)) )
| ~ spl25_34 ),
inference(resolution,[],[f1422,f473]) ).
fof(f1422,plain,
( ! [X20] :
( aElementOf0(sK16(X20,xT),xT)
| aSubsetOf0(xT,X20)
| ~ aSet0(X20) )
| ~ spl25_34 ),
inference(resolution,[],[f488,f748]) ).
fof(f3524,plain,
( ~ spl25_34
| spl25_364
| ~ spl25_34 ),
inference(avatar_split_clause,[],[f3518,f746,f3522,f746]) ).
fof(f3522,plain,
( spl25_364
<=> ! [X1] :
( ~ aSet0(X1)
| aSubsetOf0(xT,X1)
| xT = sdtpldt0(sdtmndt0(xT,sK16(X1,xT)),sK16(X1,xT)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_364])]) ).
fof(f3518,plain,
( ! [X1] :
( ~ aSet0(X1)
| xT = sdtpldt0(sdtmndt0(xT,sK16(X1,xT)),sK16(X1,xT))
| aSubsetOf0(xT,X1)
| ~ aSet0(xT) )
| ~ spl25_34 ),
inference(resolution,[],[f1422,f410]) ).
fof(f3515,plain,
( spl25_362
| ~ spl25_118
| ~ spl25_320 ),
inference(avatar_split_clause,[],[f3501,f3024,f1409,f3506]) ).
fof(f3506,plain,
( spl25_362
<=> aElement0(sK13(xO)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_362])]) ).
fof(f3501,plain,
( aElement0(sK13(xO))
| ~ spl25_118
| ~ spl25_320 ),
inference(resolution,[],[f3026,f1410]) ).
fof(f3514,plain,
( ~ spl25_18
| spl25_363
| ~ spl25_320 ),
inference(avatar_split_clause,[],[f3503,f3024,f3511,f659]) ).
fof(f3511,plain,
( spl25_363
<=> xO = sdtpldt0(sdtmndt0(xO,sK13(xO)),sK13(xO)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_363])]) ).
fof(f3503,plain,
( xO = sdtpldt0(sdtmndt0(xO,sK13(xO)),sK13(xO))
| ~ aSet0(xO)
| ~ spl25_320 ),
inference(resolution,[],[f3026,f410]) ).
fof(f3509,plain,
( spl25_362
| ~ spl25_18
| ~ spl25_320 ),
inference(avatar_split_clause,[],[f3502,f3024,f659,f3506]) ).
fof(f3502,plain,
( ~ aSet0(xO)
| aElement0(sK13(xO))
| ~ spl25_320 ),
inference(resolution,[],[f3026,f473]) ).
fof(f3489,plain,
( ~ spl25_34
| spl25_361
| ~ spl25_313 ),
inference(avatar_split_clause,[],[f3478,f2993,f3486,f746]) ).
fof(f3486,plain,
( spl25_361
<=> xT = sdtpldt0(sdtmndt0(xT,sK13(xT)),sK13(xT)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_361])]) ).
fof(f2993,plain,
( spl25_313
<=> aElementOf0(sK13(xT),xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_313])]) ).
fof(f3478,plain,
( xT = sdtpldt0(sdtmndt0(xT,sK13(xT)),sK13(xT))
| ~ aSet0(xT)
| ~ spl25_313 ),
inference(resolution,[],[f2995,f410]) ).
fof(f2995,plain,
( aElementOf0(sK13(xT),xT)
| ~ spl25_313 ),
inference(avatar_component_clause,[],[f2993]) ).
fof(f3484,plain,
( spl25_360
| ~ spl25_34
| ~ spl25_313 ),
inference(avatar_split_clause,[],[f3477,f2993,f746,f3481]) ).
fof(f3481,plain,
( spl25_360
<=> aElement0(sK13(xT)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_360])]) ).
fof(f3477,plain,
( ~ aSet0(xT)
| aElement0(sK13(xT))
| ~ spl25_313 ),
inference(resolution,[],[f2995,f473]) ).
fof(f3469,plain,
( spl25_358
| spl25_359
| ~ spl25_357 ),
inference(avatar_split_clause,[],[f3456,f3452,f3466,f3462]) ).
fof(f3466,plain,
( spl25_359
<=> aElementOf0(sK13(szDzozmdt0(xc)),szDzozmdt0(xc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_359])]) ).
fof(f3456,plain,
( aElementOf0(sK13(szDzozmdt0(xc)),szDzozmdt0(xc))
| slcrc0 = szDzozmdt0(xc)
| ~ spl25_357 ),
inference(resolution,[],[f3454,f462]) ).
fof(f3455,plain,
( ~ spl25_29
| spl25_357
| ~ spl25_74
| ~ spl25_9 ),
inference(avatar_split_clause,[],[f3449,f614,f1033,f3452,f718]) ).
fof(f3449,plain,
( ~ aSet0(xS)
| aSet0(szDzozmdt0(xc))
| ~ aElementOf0(xK,szNzAzT0)
| ~ spl25_9 ),
inference(superposition,[],[f544,f616]) ).
fof(f3439,plain,
( ~ spl25_86
| ~ spl25_147
| ~ spl25_316 ),
inference(avatar_contradiction_clause,[],[f3430]) ).
fof(f3430,plain,
( $false
| ~ spl25_86
| ~ spl25_147
| ~ spl25_316 ),
inference(resolution,[],[f3400,f1117]) ).
fof(f3400,plain,
( ! [X0] : ~ aElementOf0(X0,szNzAzT0)
| ~ spl25_147
| ~ spl25_316 ),
inference(resolution,[],[f3132,f556]) ).
fof(f3132,plain,
( ! [X3] :
( aElementOf0(sdtlpdtrp0(xd,X3),slcrc0)
| ~ aElementOf0(X3,szNzAzT0) )
| ~ spl25_147
| ~ spl25_316 ),
inference(backward_demodulation,[],[f1597,f3008]) ).
fof(f3008,plain,
( slcrc0 = sdtlcdtrc0(xd,szNzAzT0)
| ~ spl25_316 ),
inference(avatar_component_clause,[],[f3006]) ).
fof(f3006,plain,
( spl25_316
<=> slcrc0 = sdtlcdtrc0(xd,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_316])]) ).
fof(f3438,plain,
( ~ spl25_29
| ~ spl25_147
| ~ spl25_316 ),
inference(avatar_contradiction_clause,[],[f3431]) ).
fof(f3431,plain,
( $false
| ~ spl25_29
| ~ spl25_147
| ~ spl25_316 ),
inference(resolution,[],[f3400,f720]) ).
fof(f3437,plain,
( ~ spl25_147
| ~ spl25_182
| ~ spl25_316 ),
inference(avatar_contradiction_clause,[],[f3433]) ).
fof(f3433,plain,
( $false
| ~ spl25_147
| ~ spl25_182
| ~ spl25_316 ),
inference(resolution,[],[f3400,f1990]) ).
fof(f1990,plain,
( aElementOf0(sK1(xK),szNzAzT0)
| ~ spl25_182 ),
inference(avatar_component_clause,[],[f1989]) ).
fof(f3436,plain,
( ~ spl25_147
| ~ spl25_217
| ~ spl25_316 ),
inference(avatar_contradiction_clause,[],[f3434]) ).
fof(f3434,plain,
( $false
| ~ spl25_147
| ~ spl25_217
| ~ spl25_316 ),
inference(resolution,[],[f3400,f2192]) ).
fof(f3435,plain,
( ~ spl25_2
| ~ spl25_147
| ~ spl25_316 ),
inference(avatar_contradiction_clause,[],[f3427]) ).
fof(f3427,plain,
( $false
| ~ spl25_2
| ~ spl25_147
| ~ spl25_316 ),
inference(resolution,[],[f3400,f582]) ).
fof(f3417,plain,
( ~ spl25_2
| spl25_356
| ~ spl25_99
| ~ spl25_147
| ~ spl25_316 ),
inference(avatar_split_clause,[],[f3404,f3006,f1596,f1238,f3414,f580]) ).
fof(f3404,plain,
( aElementOf0(sK19(sz00),slcrc0)
| ~ aElementOf0(sz00,szNzAzT0)
| ~ spl25_99
| ~ spl25_147
| ~ spl25_316 ),
inference(superposition,[],[f3132,f1240]) ).
fof(f3412,plain,
( ~ spl25_7
| spl25_355
| ~ spl25_147
| ~ spl25_316 ),
inference(avatar_split_clause,[],[f3401,f3006,f1596,f3410,f605]) ).
fof(f3401,plain,
( ! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| aElement0(sdtlpdtrp0(xd,X1))
| ~ aSet0(slcrc0) )
| ~ spl25_147
| ~ spl25_316 ),
inference(resolution,[],[f3132,f473]) ).
fof(f3408,plain,
( spl25_354
| ~ spl25_7
| ~ spl25_147
| ~ spl25_316 ),
inference(avatar_split_clause,[],[f3402,f3006,f1596,f605,f3406]) ).
fof(f3406,plain,
( spl25_354
<=> ! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| slcrc0 = sdtpldt0(sdtmndt0(slcrc0,sdtlpdtrp0(xd,X2)),sdtlpdtrp0(xd,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_354])]) ).
fof(f3402,plain,
( ! [X2] :
( ~ aSet0(slcrc0)
| ~ aElementOf0(X2,szNzAzT0)
| slcrc0 = sdtpldt0(sdtmndt0(slcrc0,sdtlpdtrp0(xd,X2)),sdtlpdtrp0(xd,X2)) )
| ~ spl25_147
| ~ spl25_316 ),
inference(resolution,[],[f3132,f410]) ).
fof(f3390,plain,
( spl25_352
| spl25_353
| ~ spl25_255 ),
inference(avatar_split_clause,[],[f3377,f2500,f3387,f3383]) ).
fof(f3383,plain,
( spl25_352
<=> slcrc0 = sdtmndt0(szNzAzT0,xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_352])]) ).
fof(f3387,plain,
( spl25_353
<=> aElementOf0(sK13(sdtmndt0(szNzAzT0,xK)),sdtmndt0(szNzAzT0,xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_353])]) ).
fof(f3377,plain,
( aElementOf0(sK13(sdtmndt0(szNzAzT0,xK)),sdtmndt0(szNzAzT0,xK))
| slcrc0 = sdtmndt0(szNzAzT0,xK)
| ~ spl25_255 ),
inference(resolution,[],[f2501,f462]) ).
fof(f3361,plain,
( spl25_351
| ~ spl25_217 ),
inference(avatar_split_clause,[],[f3336,f2190,f3358]) ).
fof(f3358,plain,
( spl25_351
<=> sbrdtbr0(slbdtrb0(sK6(xd))) = sK6(xd) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_351])]) ).
fof(f3336,plain,
( sbrdtbr0(slbdtrb0(sK6(xd))) = sK6(xd)
| ~ spl25_217 ),
inference(resolution,[],[f2192,f475]) ).
fof(f3356,plain,
( spl25_350
| ~ spl25_14
| ~ spl25_217 ),
inference(avatar_split_clause,[],[f3340,f2190,f639,f3353]) ).
fof(f3353,plain,
( spl25_350
<=> aElement0(sK6(xd)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_350])]) ).
fof(f3340,plain,
( ~ aSet0(szNzAzT0)
| aElement0(sK6(xd))
| ~ spl25_217 ),
inference(resolution,[],[f2192,f473]) ).
fof(f3351,plain,
( spl25_348
| spl25_349
| ~ spl25_92
| ~ spl25_126
| ~ spl25_217 ),
inference(avatar_split_clause,[],[f3339,f2190,f1478,f1152,f3348,f3344]) ).
fof(f3344,plain,
( spl25_348
<=> sdtlseqdt0(sK6(xd),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_348])]) ).
fof(f3339,plain,
( sdtlseqdt0(xK,sK6(xd))
| sdtlseqdt0(sK6(xd),sz00)
| ~ spl25_92
| ~ spl25_126
| ~ spl25_217 ),
inference(resolution,[],[f2192,f1812]) ).
fof(f3330,plain,
( ~ spl25_28
| spl25_210
| ~ spl25_237
| ~ spl25_15
| ~ spl25_227 ),
inference(avatar_split_clause,[],[f3318,f2248,f644,f2323,f2157,f713]) ).
fof(f2157,plain,
( spl25_210
<=> ! [X3] :
( ~ aSubsetOf0(X3,szNzAzT0)
| ~ isCountable0(X3)
| isCountable0(sdtlcdtrc0(xd,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_210])]) ).
fof(f3318,plain,
( ! [X0] :
( sz00 != sK6(xd)
| isCountable0(sdtlcdtrc0(xd,X0))
| ~ isCountable0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ aFunction0(xd) )
| ~ spl25_15
| ~ spl25_227 ),
inference(forward_demodulation,[],[f3317,f646]) ).
fof(f3317,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,szDzozmdt0(xd))
| isCountable0(sdtlcdtrc0(xd,X0))
| ~ isCountable0(X0)
| ~ aFunction0(xd)
| sz00 != sK6(xd) )
| ~ spl25_227 ),
inference(superposition,[],[f394,f2250]) ).
fof(f2250,plain,
( sz00 = sK7(xd)
| ~ spl25_227 ),
inference(avatar_component_clause,[],[f2248]) ).
fof(f394,plain,
! [X0,X1] :
( sK6(X0) != sK7(X0)
| ~ isCountable0(X1)
| isCountable0(sdtlcdtrc0(X0,X1))
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f266]) ).
fof(f3329,plain,
( ~ spl25_28
| ~ spl25_245
| ~ spl25_6
| spl25_347
| ~ spl25_15
| spl25_79
| ~ spl25_99
| ~ spl25_227 ),
inference(avatar_split_clause,[],[f3324,f2248,f1238,f1067,f644,f3326,f600,f2402,f713]) ).
fof(f3324,plain,
( sK19(sz00) = sdtlpdtrp0(xd,sK6(xd))
| ~ isCountable0(szNzAzT0)
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| ~ aFunction0(xd)
| ~ spl25_15
| spl25_79
| ~ spl25_99
| ~ spl25_227 ),
inference(forward_demodulation,[],[f3323,f1240]) ).
fof(f3323,plain,
( ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| ~ aFunction0(xd)
| ~ isCountable0(szNzAzT0)
| sdtlpdtrp0(xd,sK6(xd)) = sdtlpdtrp0(xd,sz00)
| ~ spl25_15
| spl25_79
| ~ spl25_227 ),
inference(forward_demodulation,[],[f3322,f2250]) ).
fof(f3321,plain,
( spl25_210
| ~ spl25_28
| ~ spl25_15
| ~ spl25_227
| ~ spl25_237 ),
inference(avatar_split_clause,[],[f3320,f2323,f2248,f644,f713,f2157]) ).
fof(f3320,plain,
( ! [X0] :
( ~ aFunction0(xd)
| isCountable0(sdtlcdtrc0(xd,X0))
| ~ isCountable0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) )
| ~ spl25_15
| ~ spl25_227
| ~ spl25_237 ),
inference(trivial_inequality_removal,[],[f3319]) ).
fof(f3319,plain,
( ! [X0] :
( isCountable0(sdtlcdtrc0(xd,X0))
| sz00 != sz00
| ~ isCountable0(X0)
| ~ aFunction0(xd)
| ~ aSubsetOf0(X0,szNzAzT0) )
| ~ spl25_15
| ~ spl25_227
| ~ spl25_237 ),
inference(forward_demodulation,[],[f3318,f2325]) ).
fof(f2325,plain,
( sz00 = sK6(xd)
| ~ spl25_237 ),
inference(avatar_component_clause,[],[f2323]) ).
fof(f3316,plain,
( ~ spl25_18
| spl25_346
| ~ spl25_345 ),
inference(avatar_split_clause,[],[f3310,f3284,f3313,f659]) ).
fof(f3313,plain,
( spl25_346
<=> xO = sdtpldt0(sdtmndt0(xO,sK13(sdtmndt0(xO,sK2))),sK13(sdtmndt0(xO,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_346])]) ).
fof(f3310,plain,
( xO = sdtpldt0(sdtmndt0(xO,sK13(sdtmndt0(xO,sK2))),sK13(sdtmndt0(xO,sK2)))
| ~ aSet0(xO)
| ~ spl25_345 ),
inference(resolution,[],[f3286,f410]) ).
fof(f3288,plain,
( ~ spl25_116
| ~ spl25_18
| spl25_344
| ~ spl25_310 ),
inference(avatar_split_clause,[],[f3269,f2978,f3279,f659,f1400]) ).
fof(f2978,plain,
( spl25_310
<=> aElementOf0(sK13(sdtmndt0(xO,sK2)),sdtmndt0(xO,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_310])]) ).
fof(f3269,plain,
( aElement0(sK13(sdtmndt0(xO,sK2)))
| ~ aSet0(xO)
| ~ aElement0(sK2)
| ~ spl25_310 ),
inference(resolution,[],[f2980,f549]) ).
fof(f2980,plain,
( aElementOf0(sK13(sdtmndt0(xO,sK2)),sdtmndt0(xO,sK2))
| ~ spl25_310 ),
inference(avatar_component_clause,[],[f2978]) ).
fof(f3287,plain,
( spl25_345
| ~ spl25_116
| ~ spl25_18
| ~ spl25_310 ),
inference(avatar_split_clause,[],[f3268,f2978,f659,f1400,f3284]) ).
fof(f3268,plain,
( ~ aSet0(xO)
| ~ aElement0(sK2)
| aElementOf0(sK13(sdtmndt0(xO,sK2)),xO)
| ~ spl25_310 ),
inference(resolution,[],[f2980,f552]) ).
fof(f3282,plain,
( spl25_344
| ~ spl25_114
| ~ spl25_310 ),
inference(avatar_split_clause,[],[f3270,f2978,f1392,f3279]) ).
fof(f3270,plain,
( ~ aSet0(sdtmndt0(xO,sK2))
| aElement0(sK13(sdtmndt0(xO,sK2)))
| ~ spl25_310 ),
inference(resolution,[],[f2980,f473]) ).
fof(f3277,plain,
( spl25_343
| ~ spl25_114
| ~ spl25_310 ),
inference(avatar_split_clause,[],[f3271,f2978,f1392,f3274]) ).
fof(f3274,plain,
( spl25_343
<=> sdtpldt0(sdtmndt0(sdtmndt0(xO,sK2),sK13(sdtmndt0(xO,sK2))),sK13(sdtmndt0(xO,sK2))) = sdtmndt0(xO,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_343])]) ).
fof(f3271,plain,
( ~ aSet0(sdtmndt0(xO,sK2))
| sdtpldt0(sdtmndt0(sdtmndt0(xO,sK2),sK13(sdtmndt0(xO,sK2))),sK13(sdtmndt0(xO,sK2))) = sdtmndt0(xO,sK2)
| ~ spl25_310 ),
inference(resolution,[],[f2980,f410]) ).
fof(f3249,plain,
( spl25_342
| ~ spl25_278
| ~ spl25_340 ),
inference(avatar_split_clause,[],[f3228,f3224,f2741,f3246]) ).
fof(f3246,plain,
( spl25_342
<=> aSubsetOf0(slcrc0,szDzozmdt0(xc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_342])]) ).
fof(f2741,plain,
( spl25_278
<=> aSubsetOf0(sdtlbdtrb0(xc,sK2),szDzozmdt0(xc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_278])]) ).
fof(f3224,plain,
( spl25_340
<=> slcrc0 = sdtlbdtrb0(xc,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_340])]) ).
fof(f3228,plain,
( aSubsetOf0(slcrc0,szDzozmdt0(xc))
| ~ spl25_278
| ~ spl25_340 ),
inference(backward_demodulation,[],[f2743,f3226]) ).
fof(f3226,plain,
( slcrc0 = sdtlbdtrb0(xc,sK2)
| ~ spl25_340 ),
inference(avatar_component_clause,[],[f3224]) ).
fof(f2743,plain,
( aSubsetOf0(sdtlbdtrb0(xc,sK2),szDzozmdt0(xc))
| ~ spl25_278 ),
inference(avatar_component_clause,[],[f2741]) ).
fof(f3244,plain,
( ~ spl25_341
| spl25_332
| ~ spl25_340 ),
inference(avatar_split_clause,[],[f3230,f3224,f3181,f3241]) ).
fof(f3241,plain,
( spl25_341
<=> isCountable0(sdtlcdtrc0(xc,slcrc0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_341])]) ).
fof(f3181,plain,
( spl25_332
<=> isCountable0(sdtlcdtrc0(xc,sdtlbdtrb0(xc,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_332])]) ).
fof(f3230,plain,
( ~ isCountable0(sdtlcdtrc0(xc,slcrc0))
| spl25_332
| ~ spl25_340 ),
inference(backward_demodulation,[],[f3182,f3226]) ).
fof(f3182,plain,
( ~ isCountable0(sdtlcdtrc0(xc,sdtlbdtrb0(xc,sK2)))
| spl25_332 ),
inference(avatar_component_clause,[],[f3181]) ).
fof(f3227,plain,
( spl25_339
| spl25_340
| ~ spl25_337 ),
inference(avatar_split_clause,[],[f3214,f3202,f3224,f3220]) ).
fof(f3220,plain,
( spl25_339
<=> aElementOf0(sK13(sdtlbdtrb0(xc,sK2)),sdtlbdtrb0(xc,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_339])]) ).
fof(f3202,plain,
( spl25_337
<=> aSet0(sdtlbdtrb0(xc,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_337])]) ).
fof(f3214,plain,
( slcrc0 = sdtlbdtrb0(xc,sK2)
| aElementOf0(sK13(sdtlbdtrb0(xc,sK2)),sdtlbdtrb0(xc,sK2))
| ~ spl25_337 ),
inference(resolution,[],[f3204,f462]) ).
fof(f3204,plain,
( aSet0(sdtlbdtrb0(xc,sK2))
| ~ spl25_337 ),
inference(avatar_component_clause,[],[f3202]) ).
fof(f3210,plain,
( spl25_332
| spl25_338
| ~ spl25_333
| ~ spl25_19
| ~ spl25_278 ),
inference(avatar_split_clause,[],[f3173,f2741,f664,f3185,f3207,f3181]) ).
fof(f3185,plain,
( spl25_333
<=> isCountable0(sdtlbdtrb0(xc,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_333])]) ).
fof(f3173,plain,
( ~ aFunction0(xc)
| ~ isCountable0(sdtlbdtrb0(xc,sK2))
| aElementOf0(sK6(xc),szDzozmdt0(xc))
| isCountable0(sdtlcdtrc0(xc,sdtlbdtrb0(xc,sK2)))
| ~ spl25_278 ),
inference(resolution,[],[f2743,f397]) ).
fof(f3205,plain,
( ~ spl25_19
| spl25_337
| ~ spl25_278 ),
inference(avatar_split_clause,[],[f3170,f2741,f3202,f664]) ).
fof(f3170,plain,
( aSet0(sdtlbdtrb0(xc,sK2))
| ~ aFunction0(xc)
| ~ spl25_278 ),
inference(resolution,[],[f2743,f951]) ).
fof(f3200,plain,
( ~ spl25_19
| spl25_336
| ~ spl25_278 ),
inference(avatar_split_clause,[],[f3171,f2741,f3198,f664]) ).
fof(f3198,plain,
( spl25_336
<=> ! [X0] :
( sdtlcdtrc0(xc,sdtlbdtrb0(xc,sK2)) = X0
| aElementOf0(sK20(xc,sdtlbdtrb0(xc,sK2),X0),X0)
| ~ aSet0(X0)
| sdtlpdtrp0(xc,sK21(xc,sdtlbdtrb0(xc,sK2),X0)) = sK20(xc,sdtlbdtrb0(xc,sK2),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_336])]) ).
fof(f3171,plain,
( ! [X0] :
( sdtlcdtrc0(xc,sdtlbdtrb0(xc,sK2)) = X0
| sdtlpdtrp0(xc,sK21(xc,sdtlbdtrb0(xc,sK2),X0)) = sK20(xc,sdtlbdtrb0(xc,sK2),X0)
| ~ aSet0(X0)
| aElementOf0(sK20(xc,sdtlbdtrb0(xc,sK2),X0),X0)
| ~ aFunction0(xc) )
| ~ spl25_278 ),
inference(resolution,[],[f2743,f512]) ).
fof(f3196,plain,
( ~ spl25_19
| spl25_335
| ~ spl25_278 ),
inference(avatar_split_clause,[],[f3172,f2741,f3194,f664]) ).
fof(f3194,plain,
( spl25_335
<=> ! [X1] :
( sdtlcdtrc0(xc,sdtlbdtrb0(xc,sK2)) = X1
| aElementOf0(sK21(xc,sdtlbdtrb0(xc,sK2),X1),sdtlbdtrb0(xc,sK2))
| ~ aSet0(X1)
| aElementOf0(sK20(xc,sdtlbdtrb0(xc,sK2),X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_335])]) ).
fof(f3172,plain,
( ! [X1] :
( sdtlcdtrc0(xc,sdtlbdtrb0(xc,sK2)) = X1
| aElementOf0(sK20(xc,sdtlbdtrb0(xc,sK2),X1),X1)
| ~ aSet0(X1)
| aElementOf0(sK21(xc,sdtlbdtrb0(xc,sK2),X1),sdtlbdtrb0(xc,sK2))
| ~ aFunction0(xc) )
| ~ spl25_278 ),
inference(resolution,[],[f2743,f511]) ).
fof(f3192,plain,
( spl25_332
| ~ spl25_19
| ~ spl25_333
| spl25_334
| ~ spl25_278 ),
inference(avatar_split_clause,[],[f3174,f2741,f3189,f3185,f664,f3181]) ).
fof(f3174,plain,
( aElementOf0(sK7(xc),szDzozmdt0(xc))
| ~ isCountable0(sdtlbdtrb0(xc,sK2))
| ~ aFunction0(xc)
| isCountable0(sdtlcdtrc0(xc,sdtlbdtrb0(xc,sK2)))
| ~ spl25_278 ),
inference(resolution,[],[f2743,f396]) ).
fof(f3179,plain,
( spl25_331
| ~ spl25_19
| ~ spl25_278 ),
inference(avatar_split_clause,[],[f3175,f2741,f664,f3177]) ).
fof(f3177,plain,
( spl25_331
<=> ! [X2] :
( ~ aElementOf0(X2,sdtlbdtrb0(xc,sK2))
| aElementOf0(sdtlpdtrp0(xc,X2),sdtlcdtrc0(xc,sdtlbdtrb0(xc,sK2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_331])]) ).
fof(f3175,plain,
( ! [X2] :
( ~ aFunction0(xc)
| ~ aElementOf0(X2,sdtlbdtrb0(xc,sK2))
| aElementOf0(sdtlpdtrp0(xc,X2),sdtlcdtrc0(xc,sdtlbdtrb0(xc,sK2))) )
| ~ spl25_278 ),
inference(resolution,[],[f2743,f569]) ).
fof(f3166,plain,
( ~ spl25_7
| spl25_330 ),
inference(avatar_split_clause,[],[f3165,f3147,f605]) ).
fof(f3147,plain,
( spl25_330
<=> aSubsetOf0(slcrc0,slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_330])]) ).
fof(f3165,plain,
( ~ aSet0(slcrc0)
| spl25_330 ),
inference(resolution,[],[f3149,f484]) ).
fof(f3149,plain,
( ~ aSubsetOf0(slcrc0,slcrc0)
| spl25_330 ),
inference(avatar_component_clause,[],[f3147]) ).
fof(f3154,plain,
( spl25_329
| ~ spl25_27
| ~ spl25_321 ),
inference(avatar_split_clause,[],[f3153,f3029,f708,f3141]) ).
fof(f3141,plain,
( spl25_329
<=> aSubsetOf0(slcrc0,xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_329])]) ).
fof(f708,plain,
( spl25_27
<=> aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_27])]) ).
fof(f3029,plain,
( spl25_321
<=> slcrc0 = sdtlcdtrc0(xc,szDzozmdt0(xc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_321])]) ).
fof(f3153,plain,
( aSubsetOf0(slcrc0,xT)
| ~ spl25_27
| ~ spl25_321 ),
inference(forward_demodulation,[],[f710,f3031]) ).
fof(f3031,plain,
( slcrc0 = sdtlcdtrc0(xc,szDzozmdt0(xc))
| ~ spl25_321 ),
inference(avatar_component_clause,[],[f3029]) ).
fof(f710,plain,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
| ~ spl25_27 ),
inference(avatar_component_clause,[],[f708]) ).
fof(f3152,plain,
( ~ spl25_330
| ~ spl25_321
| spl25_326 ),
inference(avatar_split_clause,[],[f3151,f3093,f3029,f3147]) ).
fof(f3093,plain,
( spl25_326
<=> aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_326])]) ).
fof(f3151,plain,
( ~ aSubsetOf0(slcrc0,slcrc0)
| ~ spl25_321
| spl25_326 ),
inference(forward_demodulation,[],[f3094,f3031]) ).
fof(f3094,plain,
( ~ aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),slcrc0)
| spl25_326 ),
inference(avatar_component_clause,[],[f3093]) ).
fof(f3150,plain,
( ~ spl25_330
| ~ spl25_316
| spl25_325 ),
inference(avatar_split_clause,[],[f3145,f3087,f3006,f3147]) ).
fof(f3087,plain,
( spl25_325
<=> aSubsetOf0(sdtlcdtrc0(xd,szNzAzT0),slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_325])]) ).
fof(f3145,plain,
( ~ aSubsetOf0(slcrc0,slcrc0)
| ~ spl25_316
| spl25_325 ),
inference(forward_demodulation,[],[f3088,f3008]) ).
fof(f3088,plain,
( ~ aSubsetOf0(sdtlcdtrc0(xd,szNzAzT0),slcrc0)
| spl25_325 ),
inference(avatar_component_clause,[],[f3087]) ).
fof(f3144,plain,
( spl25_329
| ~ spl25_36
| ~ spl25_316 ),
inference(avatar_split_clause,[],[f3139,f3006,f762,f3141]) ).
fof(f762,plain,
( spl25_36
<=> aSubsetOf0(sdtlcdtrc0(xd,szNzAzT0),xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_36])]) ).
fof(f3139,plain,
( aSubsetOf0(slcrc0,xT)
| ~ spl25_36
| ~ spl25_316 ),
inference(forward_demodulation,[],[f764,f3008]) ).
fof(f764,plain,
( aSubsetOf0(sdtlcdtrc0(xd,szNzAzT0),xT)
| ~ spl25_36 ),
inference(avatar_component_clause,[],[f762]) ).
fof(f3108,plain,
( ~ spl25_328
| spl25_300
| ~ spl25_314 ),
inference(avatar_split_clause,[],[f3070,f2997,f2887,f3105]) ).
fof(f2997,plain,
( spl25_314
<=> slcrc0 = xT ),
introduced(avatar_definition,[new_symbols(naming,[spl25_314])]) ).
fof(f3070,plain,
( ~ aSet0(sdtmndt0(slcrc0,szDzizrdt0(xd)))
| spl25_300
| ~ spl25_314 ),
inference(backward_demodulation,[],[f2889,f2999]) ).
fof(f2999,plain,
( slcrc0 = xT
| ~ spl25_314 ),
inference(avatar_component_clause,[],[f2997]) ).
fof(f3102,plain,
( spl25_327
| ~ spl25_20
| ~ spl25_314 ),
inference(avatar_split_clause,[],[f3045,f2997,f670,f3099]) ).
fof(f3099,plain,
( spl25_327
<=> aElementOf0(szDzizrdt0(xd),slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_327])]) ).
fof(f670,plain,
( spl25_20
<=> aElementOf0(szDzizrdt0(xd),xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_20])]) ).
fof(f3045,plain,
( aElementOf0(szDzizrdt0(xd),slcrc0)
| ~ spl25_20
| ~ spl25_314 ),
inference(backward_demodulation,[],[f672,f2999]) ).
fof(f672,plain,
( aElementOf0(szDzizrdt0(xd),xT)
| ~ spl25_20 ),
inference(avatar_component_clause,[],[f670]) ).
fof(f3096,plain,
( spl25_326
| ~ spl25_27
| ~ spl25_314 ),
inference(avatar_split_clause,[],[f3046,f2997,f708,f3093]) ).
fof(f3046,plain,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),slcrc0)
| ~ spl25_27
| ~ spl25_314 ),
inference(backward_demodulation,[],[f710,f2999]) ).
fof(f3090,plain,
( spl25_325
| ~ spl25_36
| ~ spl25_314 ),
inference(avatar_split_clause,[],[f3048,f2997,f762,f3087]) ).
fof(f3048,plain,
( aSubsetOf0(sdtlcdtrc0(xd,szNzAzT0),slcrc0)
| ~ spl25_36
| ~ spl25_314 ),
inference(backward_demodulation,[],[f764,f2999]) ).
fof(f3085,plain,
( ~ spl25_324
| spl25_302
| ~ spl25_314 ),
inference(avatar_split_clause,[],[f3071,f2997,f2896,f3082]) ).
fof(f3082,plain,
( spl25_324
<=> isCountable0(sdtmndt0(slcrc0,szDzizrdt0(xd))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_324])]) ).
fof(f2896,plain,
( spl25_302
<=> isCountable0(sdtmndt0(xT,szDzizrdt0(xd))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_302])]) ).
fof(f3071,plain,
( ~ isCountable0(sdtmndt0(slcrc0,szDzizrdt0(xd)))
| spl25_302
| ~ spl25_314 ),
inference(backward_demodulation,[],[f2898,f2999]) ).
fof(f2898,plain,
( ~ isCountable0(sdtmndt0(xT,szDzizrdt0(xd)))
| spl25_302 ),
inference(avatar_component_clause,[],[f2896]) ).
fof(f3079,plain,
( spl25_323
| ~ spl25_111
| ~ spl25_314 ),
inference(avatar_split_clause,[],[f3057,f2997,f1372,f3076]) ).
fof(f3076,plain,
( spl25_323
<=> slcrc0 = sdtpldt0(sdtmndt0(slcrc0,szDzizrdt0(xd)),szDzizrdt0(xd)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_323])]) ).
fof(f1372,plain,
( spl25_111
<=> xT = sdtpldt0(sdtmndt0(xT,szDzizrdt0(xd)),szDzizrdt0(xd)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_111])]) ).
fof(f3057,plain,
( slcrc0 = sdtpldt0(sdtmndt0(slcrc0,szDzizrdt0(xd)),szDzizrdt0(xd))
| ~ spl25_111
| ~ spl25_314 ),
inference(backward_demodulation,[],[f1374,f2999]) ).
fof(f1374,plain,
( xT = sdtpldt0(sdtmndt0(xT,szDzizrdt0(xd)),szDzizrdt0(xd))
| ~ spl25_111 ),
inference(avatar_component_clause,[],[f1372]) ).
fof(f3036,plain,
( spl25_321
| spl25_322
| ~ spl25_72 ),
inference(avatar_split_clause,[],[f2963,f1015,f3033,f3029]) ).
fof(f3033,plain,
( spl25_322
<=> aElementOf0(sK13(sdtlcdtrc0(xc,szDzozmdt0(xc))),sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_322])]) ).
fof(f2963,plain,
( aElementOf0(sK13(sdtlcdtrc0(xc,szDzozmdt0(xc))),sdtlcdtrc0(xc,szDzozmdt0(xc)))
| slcrc0 = sdtlcdtrc0(xc,szDzozmdt0(xc))
| ~ spl25_72 ),
inference(resolution,[],[f462,f1017]) ).
fof(f3027,plain,
( spl25_319
| spl25_320
| ~ spl25_18 ),
inference(avatar_split_clause,[],[f2967,f659,f3024,f3020]) ).
fof(f3020,plain,
( spl25_319
<=> slcrc0 = xO ),
introduced(avatar_definition,[new_symbols(naming,[spl25_319])]) ).
fof(f2967,plain,
( aElementOf0(sK13(xO),xO)
| slcrc0 = xO
| ~ spl25_18 ),
inference(resolution,[],[f462,f661]) ).
fof(f3018,plain,
( spl25_317
| spl25_318
| ~ spl25_176 ),
inference(avatar_split_clause,[],[f2955,f1872,f3015,f3011]) ).
fof(f3011,plain,
( spl25_317
<=> aElementOf0(sK13(sdtmndt0(xS,szmzizndt0(xS))),sdtmndt0(xS,szmzizndt0(xS))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_317])]) ).
fof(f3015,plain,
( spl25_318
<=> slcrc0 = sdtmndt0(xS,szmzizndt0(xS)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_318])]) ).
fof(f2955,plain,
( slcrc0 = sdtmndt0(xS,szmzizndt0(xS))
| aElementOf0(sK13(sdtmndt0(xS,szmzizndt0(xS))),sdtmndt0(xS,szmzizndt0(xS)))
| ~ spl25_176 ),
inference(resolution,[],[f462,f1873]) ).
fof(f3009,plain,
( spl25_315
| spl25_316
| ~ spl25_71 ),
inference(avatar_split_clause,[],[f2962,f1010,f3006,f3002]) ).
fof(f3002,plain,
( spl25_315
<=> aElementOf0(sK13(sdtlcdtrc0(xd,szNzAzT0)),sdtlcdtrc0(xd,szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_315])]) ).
fof(f2962,plain,
( slcrc0 = sdtlcdtrc0(xd,szNzAzT0)
| aElementOf0(sK13(sdtlcdtrc0(xd,szNzAzT0)),sdtlcdtrc0(xd,szNzAzT0))
| ~ spl25_71 ),
inference(resolution,[],[f462,f1012]) ).
fof(f3000,plain,
( spl25_313
| spl25_314
| ~ spl25_34 ),
inference(avatar_split_clause,[],[f2965,f746,f2997,f2993]) ).
fof(f2965,plain,
( slcrc0 = xT
| aElementOf0(sK13(xT),xT)
| ~ spl25_34 ),
inference(resolution,[],[f462,f748]) ).
fof(f2991,plain,
( spl25_312
| spl25_84
| ~ spl25_74 ),
inference(avatar_split_clause,[],[f2966,f1033,f1105,f2988]) ).
fof(f2966,plain,
( slcrc0 = xS
| aElementOf0(sK13(xS),xS)
| ~ spl25_74 ),
inference(resolution,[],[f462,f1035]) ).
fof(f2986,plain,
( spl25_85
| spl25_311
| ~ spl25_14 ),
inference(avatar_split_clause,[],[f2957,f639,f2983,f1111]) ).
fof(f2957,plain,
( aElementOf0(sK13(szNzAzT0),szNzAzT0)
| slcrc0 = szNzAzT0
| ~ spl25_14 ),
inference(resolution,[],[f462,f641]) ).
fof(f2981,plain,
( spl25_309
| spl25_310
| ~ spl25_114 ),
inference(avatar_split_clause,[],[f2956,f1392,f2978,f2974]) ).
fof(f2974,plain,
( spl25_309
<=> slcrc0 = sdtmndt0(xO,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_309])]) ).
fof(f2956,plain,
( aElementOf0(sK13(sdtmndt0(xO,sK2)),sdtmndt0(xO,sK2))
| slcrc0 = sdtmndt0(xO,sK2)
| ~ spl25_114 ),
inference(resolution,[],[f462,f1393]) ).
fof(f1393,plain,
( aSet0(sdtmndt0(xO,sK2))
| ~ spl25_114 ),
inference(avatar_component_clause,[],[f1392]) ).
fof(f2972,plain,
( spl25_308
| spl25_130
| ~ spl25_208 ),
inference(avatar_split_clause,[],[f2960,f2139,f1495,f2969]) ).
fof(f2969,plain,
( spl25_308
<=> aElementOf0(sK13(sdtlpdtrp0(xN,xK)),sdtlpdtrp0(xN,xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_308])]) ).
fof(f2960,plain,
( slcrc0 = sdtlpdtrp0(xN,xK)
| aElementOf0(sK13(sdtlpdtrp0(xN,xK)),sdtlpdtrp0(xN,xK))
| ~ spl25_208 ),
inference(resolution,[],[f462,f2141]) ).
fof(f2931,plain,
( ~ spl25_6
| ~ spl25_245
| spl25_79
| ~ spl25_210 ),
inference(avatar_split_clause,[],[f2930,f2157,f1067,f2402,f600]) ).
fof(f2930,plain,
( ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| ~ isCountable0(szNzAzT0)
| spl25_79
| ~ spl25_210 ),
inference(resolution,[],[f2158,f1069]) ).
fof(f2158,plain,
( ! [X3] :
( isCountable0(sdtlcdtrc0(xd,X3))
| ~ isCountable0(X3)
| ~ aSubsetOf0(X3,szNzAzT0) )
| ~ spl25_210 ),
inference(avatar_component_clause,[],[f2157]) ).
fof(f2929,plain,
( spl25_306
| spl25_307
| ~ spl25_92
| ~ spl25_126
| ~ spl25_182 ),
inference(avatar_split_clause,[],[f2906,f1989,f1478,f1152,f2926,f2922]) ).
fof(f2926,plain,
( spl25_307
<=> sdtlseqdt0(xK,sK1(xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_307])]) ).
fof(f2906,plain,
( sdtlseqdt0(xK,sK1(xK))
| sdtlseqdt0(sK1(xK),sz00)
| ~ spl25_92
| ~ spl25_126
| ~ spl25_182 ),
inference(resolution,[],[f1812,f1990]) ).
fof(f2920,plain,
( spl25_304
| spl25_305
| ~ spl25_86
| ~ spl25_92
| ~ spl25_126 ),
inference(avatar_split_clause,[],[f2903,f1478,f1152,f1115,f2917,f2913]) ).
fof(f2913,plain,
( spl25_304
<=> sdtlseqdt0(szmzizndt0(szNzAzT0),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_304])]) ).
fof(f2903,plain,
( sdtlseqdt0(xK,szmzizndt0(szNzAzT0))
| sdtlseqdt0(szmzizndt0(szNzAzT0),sz00)
| ~ spl25_86
| ~ spl25_92
| ~ spl25_126 ),
inference(resolution,[],[f1812,f1117]) ).
fof(f2911,plain,
( spl25_303
| spl25_61
| ~ spl25_29
| ~ spl25_92
| ~ spl25_126 ),
inference(avatar_split_clause,[],[f2904,f1478,f1152,f718,f938,f2908]) ).
fof(f2904,plain,
( sdtlseqdt0(xK,sz00)
| sdtlseqdt0(xK,xK)
| ~ spl25_29
| ~ spl25_92
| ~ spl25_126 ),
inference(resolution,[],[f1812,f720]) ).
fof(f2899,plain,
( spl25_38
| ~ spl25_300
| ~ spl25_121
| ~ spl25_302
| ~ spl25_111 ),
inference(avatar_split_clause,[],[f2880,f1372,f2896,f1452,f2887,f779]) ).
fof(f779,plain,
( spl25_38
<=> isCountable0(xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_38])]) ).
fof(f2880,plain,
( ~ isCountable0(sdtmndt0(xT,szDzizrdt0(xd)))
| ~ aElement0(szDzizrdt0(xd))
| ~ aSet0(sdtmndt0(xT,szDzizrdt0(xd)))
| isCountable0(xT)
| ~ spl25_111 ),
inference(superposition,[],[f411,f1374]) ).
fof(f411,plain,
! [X0,X1] :
( isCountable0(sdtpldt0(X1,X0))
| ~ aElement0(X0)
| ~ aSet0(X1)
| ~ isCountable0(X1) ),
inference(cnf_transformation,[],[f179]) ).
fof(f179,plain,
! [X0] :
( ~ aElement0(X0)
| ! [X1] :
( ~ aSet0(X1)
| isCountable0(sdtpldt0(X1,X0))
| ~ isCountable0(X1) ) ),
inference(flattening,[],[f178]) ).
fof(f178,plain,
! [X0] :
( ! [X1] :
( isCountable0(sdtpldt0(X1,X0))
| ~ aSet0(X1)
| ~ isCountable0(X1) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0] :
( aElement0(X0)
=> ! [X1] :
( ( aSet0(X1)
& isCountable0(X1) )
=> isCountable0(sdtpldt0(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCConsSet) ).
fof(f2894,plain,
( spl25_301
| ~ spl25_300
| ~ spl25_121
| ~ spl25_111 ),
inference(avatar_split_clause,[],[f2878,f1372,f1452,f2887,f2892]) ).
fof(f2892,plain,
( spl25_301
<=> ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,xT) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_301])]) ).
fof(f2878,plain,
( ! [X1] :
( ~ aElement0(szDzizrdt0(xd))
| ~ aSet0(sdtmndt0(xT,szDzizrdt0(xd)))
| aElement0(X1)
| ~ aElementOf0(X1,xT) )
| ~ spl25_111 ),
inference(superposition,[],[f536,f1374]) ).
fof(f536,plain,
! [X3,X0,X1] :
( ~ aElementOf0(X3,sdtpldt0(X1,X0))
| aElement0(X3)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(equality_resolution,[],[f391]) ).
fof(f391,plain,
! [X2,X3,X0,X1] :
( ~ aSet0(X1)
| aElement0(X3)
| ~ aElementOf0(X3,X2)
| sdtpldt0(X1,X0) != X2
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f263]) ).
fof(f2890,plain,
( ~ spl25_121
| spl25_299
| ~ spl25_300
| ~ spl25_111 ),
inference(avatar_split_clause,[],[f2877,f1372,f2887,f2884,f1452]) ).
fof(f2884,plain,
( spl25_299
<=> ! [X0] :
( ~ aElementOf0(X0,xT)
| aElementOf0(X0,sdtmndt0(xT,szDzizrdt0(xd)))
| szDzizrdt0(xd) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_299])]) ).
fof(f2877,plain,
( ! [X0] :
( ~ aSet0(sdtmndt0(xT,szDzizrdt0(xd)))
| ~ aElementOf0(X0,xT)
| szDzizrdt0(xd) = X0
| ~ aElement0(szDzizrdt0(xd))
| aElementOf0(X0,sdtmndt0(xT,szDzizrdt0(xd))) )
| ~ spl25_111 ),
inference(superposition,[],[f535,f1374]) ).
fof(f2876,plain,
( ~ spl25_12
| spl25_298
| ~ spl25_20 ),
inference(avatar_split_clause,[],[f2871,f670,f2874,f629]) ).
fof(f2874,plain,
( spl25_298
<=> ! [X0,X1] :
( ~ aSet0(X1)
| ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(szDzizrdt0(xd),slbdtsldtrb0(sK3(X0,X1,xT),X0))
| ~ aSubsetOf0(xT,slbdtsldtrb0(X1,X0))
| ~ aSet0(slbdtsldtrb0(sK3(X0,X1,xT),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_298])]) ).
fof(f2871,plain,
( ! [X0,X1] :
( ~ aSet0(X1)
| ~ aSet0(slbdtsldtrb0(sK3(X0,X1,xT),X0))
| ~ aSubsetOf0(xT,slbdtsldtrb0(X1,X0))
| ~ isFinite0(xT)
| aElementOf0(szDzizrdt0(xd),slbdtsldtrb0(sK3(X0,X1,xT),X0))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl25_20 ),
inference(resolution,[],[f1316,f366]) ).
fof(f1316,plain,
( ! [X6] :
( ~ aSubsetOf0(xT,X6)
| aElementOf0(szDzizrdt0(xd),X6)
| ~ aSet0(X6) )
| ~ spl25_20 ),
inference(resolution,[],[f485,f672]) ).
fof(f2866,plain,
( spl25_297
| spl25_294
| ~ spl25_280 ),
inference(avatar_split_clause,[],[f2846,f2753,f2850,f2864]) ).
fof(f2864,plain,
( spl25_297
<=> ! [X0] :
( aElementOf0(sK11(sdtlbdtrb0(xC,sK2),X0),sdtlbdtrb0(xC,sK2))
| szmzizndt0(sdtlbdtrb0(xC,sK2)) = X0
| ~ aElementOf0(X0,sdtlbdtrb0(xC,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_297])]) ).
fof(f2850,plain,
( spl25_294
<=> slcrc0 = sdtlbdtrb0(xC,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_294])]) ).
fof(f2753,plain,
( spl25_280
<=> aSubsetOf0(sdtlbdtrb0(xC,sK2),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_280])]) ).
fof(f2846,plain,
( ! [X0] :
( slcrc0 = sdtlbdtrb0(xC,sK2)
| aElementOf0(sK11(sdtlbdtrb0(xC,sK2),X0),sdtlbdtrb0(xC,sK2))
| ~ aElementOf0(X0,sdtlbdtrb0(xC,sK2))
| szmzizndt0(sdtlbdtrb0(xC,sK2)) = X0 )
| ~ spl25_280 ),
inference(resolution,[],[f2755,f440]) ).
fof(f2755,plain,
( aSubsetOf0(sdtlbdtrb0(xC,sK2),szNzAzT0)
| ~ spl25_280 ),
inference(avatar_component_clause,[],[f2753]) ).
fof(f2862,plain,
( spl25_296
| ~ spl25_14
| ~ spl25_280 ),
inference(avatar_split_clause,[],[f2848,f2753,f639,f2859]) ).
fof(f2859,plain,
( spl25_296
<=> aSet0(sdtlbdtrb0(xC,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_296])]) ).
fof(f2848,plain,
( aSet0(sdtlbdtrb0(xC,sK2))
| ~ spl25_14
| ~ spl25_280 ),
inference(resolution,[],[f2755,f949]) ).
fof(f2857,plain,
( spl25_294
| spl25_295
| ~ spl25_280 ),
inference(avatar_split_clause,[],[f2847,f2753,f2854,f2850]) ).
fof(f2854,plain,
( spl25_295
<=> aElementOf0(szmzizndt0(sdtlbdtrb0(xC,sK2)),sdtlbdtrb0(xC,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_295])]) ).
fof(f2847,plain,
( aElementOf0(szmzizndt0(sdtlbdtrb0(xC,sK2)),sdtlbdtrb0(xC,sK2))
| slcrc0 = sdtlbdtrb0(xC,sK2)
| ~ spl25_280 ),
inference(resolution,[],[f2755,f547]) ).
fof(f2842,plain,
( spl25_293
| ~ spl25_14
| ~ spl25_279 ),
inference(avatar_split_clause,[],[f2824,f2747,f639,f2839]) ).
fof(f2839,plain,
( spl25_293
<=> aSet0(sdtlbdtrb0(xN,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_293])]) ).
fof(f2747,plain,
( spl25_279
<=> aSubsetOf0(sdtlbdtrb0(xN,sK2),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_279])]) ).
fof(f2824,plain,
( aSet0(sdtlbdtrb0(xN,sK2))
| ~ spl25_14
| ~ spl25_279 ),
inference(resolution,[],[f2749,f949]) ).
fof(f2749,plain,
( aSubsetOf0(sdtlbdtrb0(xN,sK2),szNzAzT0)
| ~ spl25_279 ),
inference(avatar_component_clause,[],[f2747]) ).
fof(f2837,plain,
( spl25_292
| spl25_291
| ~ spl25_279 ),
inference(avatar_split_clause,[],[f2822,f2747,f2830,f2835]) ).
fof(f2835,plain,
( spl25_292
<=> ! [X0] :
( szmzizndt0(sdtlbdtrb0(xN,sK2)) = X0
| ~ aElementOf0(X0,sdtlbdtrb0(xN,sK2))
| aElementOf0(sK11(sdtlbdtrb0(xN,sK2),X0),sdtlbdtrb0(xN,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_292])]) ).
fof(f2830,plain,
( spl25_291
<=> slcrc0 = sdtlbdtrb0(xN,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_291])]) ).
fof(f2822,plain,
( ! [X0] :
( slcrc0 = sdtlbdtrb0(xN,sK2)
| szmzizndt0(sdtlbdtrb0(xN,sK2)) = X0
| aElementOf0(sK11(sdtlbdtrb0(xN,sK2),X0),sdtlbdtrb0(xN,sK2))
| ~ aElementOf0(X0,sdtlbdtrb0(xN,sK2)) )
| ~ spl25_279 ),
inference(resolution,[],[f2749,f440]) ).
fof(f2833,plain,
( spl25_290
| spl25_291
| ~ spl25_279 ),
inference(avatar_split_clause,[],[f2823,f2747,f2830,f2826]) ).
fof(f2826,plain,
( spl25_290
<=> aElementOf0(szmzizndt0(sdtlbdtrb0(xN,sK2)),sdtlbdtrb0(xN,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_290])]) ).
fof(f2823,plain,
( slcrc0 = sdtlbdtrb0(xN,sK2)
| aElementOf0(szmzizndt0(sdtlbdtrb0(xN,sK2)),sdtlbdtrb0(xN,sK2))
| ~ spl25_279 ),
inference(resolution,[],[f2749,f547]) ).
fof(f2818,plain,
( spl25_286
| spl25_289
| ~ spl25_277 ),
inference(avatar_split_clause,[],[f2798,f2736,f2816,f2802]) ).
fof(f2816,plain,
( spl25_289
<=> ! [X0] :
( ~ aElementOf0(X0,sdtlbdtrb0(xe,sK2))
| szmzizndt0(sdtlbdtrb0(xe,sK2)) = X0
| aElementOf0(sK11(sdtlbdtrb0(xe,sK2),X0),sdtlbdtrb0(xe,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_289])]) ).
fof(f2736,plain,
( spl25_277
<=> aSubsetOf0(sdtlbdtrb0(xe,sK2),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_277])]) ).
fof(f2798,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtlbdtrb0(xe,sK2))
| aElementOf0(sK11(sdtlbdtrb0(xe,sK2),X0),sdtlbdtrb0(xe,sK2))
| szmzizndt0(sdtlbdtrb0(xe,sK2)) = X0
| slcrc0 = sdtlbdtrb0(xe,sK2) )
| ~ spl25_277 ),
inference(resolution,[],[f2738,f440]) ).
fof(f2738,plain,
( aSubsetOf0(sdtlbdtrb0(xe,sK2),szNzAzT0)
| ~ spl25_277 ),
inference(avatar_component_clause,[],[f2736]) ).
fof(f2814,plain,
( spl25_288
| ~ spl25_14
| ~ spl25_277 ),
inference(avatar_split_clause,[],[f2800,f2736,f639,f2811]) ).
fof(f2811,plain,
( spl25_288
<=> aSet0(sdtlbdtrb0(xe,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_288])]) ).
fof(f2800,plain,
( aSet0(sdtlbdtrb0(xe,sK2))
| ~ spl25_14
| ~ spl25_277 ),
inference(resolution,[],[f2738,f949]) ).
fof(f2809,plain,
( spl25_286
| spl25_287
| ~ spl25_277 ),
inference(avatar_split_clause,[],[f2799,f2736,f2806,f2802]) ).
fof(f2806,plain,
( spl25_287
<=> aElementOf0(szmzizndt0(sdtlbdtrb0(xe,sK2)),sdtlbdtrb0(xe,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_287])]) ).
fof(f2799,plain,
( aElementOf0(szmzizndt0(sdtlbdtrb0(xe,sK2)),sdtlbdtrb0(xe,sK2))
| slcrc0 = sdtlbdtrb0(xe,sK2)
| ~ spl25_277 ),
inference(resolution,[],[f2738,f547]) ).
fof(f2789,plain,
( spl25_285
| ~ spl25_276
| ~ spl25_281 ),
inference(avatar_split_clause,[],[f2784,f2766,f2730,f2786]) ).
fof(f2786,plain,
( spl25_285
<=> aSubsetOf0(slcrc0,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_285])]) ).
fof(f2730,plain,
( spl25_276
<=> aSubsetOf0(sdtlbdtrb0(xd,sK2),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_276])]) ).
fof(f2766,plain,
( spl25_281
<=> slcrc0 = sdtlbdtrb0(xd,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_281])]) ).
fof(f2784,plain,
( aSubsetOf0(slcrc0,szNzAzT0)
| ~ spl25_276
| ~ spl25_281 ),
inference(backward_demodulation,[],[f2732,f2768]) ).
fof(f2768,plain,
( slcrc0 = sdtlbdtrb0(xd,sK2)
| ~ spl25_281 ),
inference(avatar_component_clause,[],[f2766]) ).
fof(f2732,plain,
( aSubsetOf0(sdtlbdtrb0(xd,sK2),szNzAzT0)
| ~ spl25_276 ),
inference(avatar_component_clause,[],[f2730]) ).
fof(f2782,plain,
( spl25_284
| spl25_281
| ~ spl25_276 ),
inference(avatar_split_clause,[],[f2763,f2730,f2766,f2779]) ).
fof(f2779,plain,
( spl25_284
<=> aElementOf0(szmzizndt0(sdtlbdtrb0(xd,sK2)),sdtlbdtrb0(xd,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_284])]) ).
fof(f2763,plain,
( slcrc0 = sdtlbdtrb0(xd,sK2)
| aElementOf0(szmzizndt0(sdtlbdtrb0(xd,sK2)),sdtlbdtrb0(xd,sK2))
| ~ spl25_276 ),
inference(resolution,[],[f2732,f547]) ).
fof(f2777,plain,
( spl25_283
| ~ spl25_14
| ~ spl25_276 ),
inference(avatar_split_clause,[],[f2764,f2730,f639,f2774]) ).
fof(f2774,plain,
( spl25_283
<=> aSet0(sdtlbdtrb0(xd,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_283])]) ).
fof(f2764,plain,
( aSet0(sdtlbdtrb0(xd,sK2))
| ~ spl25_14
| ~ spl25_276 ),
inference(resolution,[],[f2732,f949]) ).
fof(f2772,plain,
( spl25_281
| spl25_282
| ~ spl25_276 ),
inference(avatar_split_clause,[],[f2762,f2730,f2770,f2766]) ).
fof(f2770,plain,
( spl25_282
<=> ! [X0] :
( aElementOf0(sK11(sdtlbdtrb0(xd,sK2),X0),sdtlbdtrb0(xd,sK2))
| ~ aElementOf0(X0,sdtlbdtrb0(xd,sK2))
| szmzizndt0(sdtlbdtrb0(xd,sK2)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_282])]) ).
fof(f2762,plain,
( ! [X0] :
( aElementOf0(sK11(sdtlbdtrb0(xd,sK2),X0),sdtlbdtrb0(xd,sK2))
| szmzizndt0(sdtlbdtrb0(xd,sK2)) = X0
| ~ aElementOf0(X0,sdtlbdtrb0(xd,sK2))
| slcrc0 = sdtlbdtrb0(xd,sK2) )
| ~ spl25_276 ),
inference(resolution,[],[f2732,f440]) ).
fof(f2756,plain,
( spl25_280
| ~ spl25_17
| ~ spl25_31
| ~ spl25_116 ),
inference(avatar_split_clause,[],[f2751,f1400,f729,f654,f2753]) ).
fof(f2751,plain,
( aSubsetOf0(sdtlbdtrb0(xC,sK2),szNzAzT0)
| ~ spl25_17
| ~ spl25_31
| ~ spl25_116 ),
inference(forward_demodulation,[],[f2725,f656]) ).
fof(f2725,plain,
( aSubsetOf0(sdtlbdtrb0(xC,sK2),szDzozmdt0(xC))
| ~ spl25_31
| ~ spl25_116 ),
inference(resolution,[],[f2592,f731]) ).
fof(f2750,plain,
( spl25_279
| ~ spl25_3
| ~ spl25_24
| ~ spl25_116 ),
inference(avatar_split_clause,[],[f2745,f1400,f693,f585,f2747]) ).
fof(f2745,plain,
( aSubsetOf0(sdtlbdtrb0(xN,sK2),szNzAzT0)
| ~ spl25_3
| ~ spl25_24
| ~ spl25_116 ),
inference(forward_demodulation,[],[f2724,f587]) ).
fof(f2724,plain,
( aSubsetOf0(sdtlbdtrb0(xN,sK2),szDzozmdt0(xN))
| ~ spl25_24
| ~ spl25_116 ),
inference(resolution,[],[f2592,f695]) ).
fof(f2744,plain,
( spl25_278
| ~ spl25_19
| ~ spl25_116 ),
inference(avatar_split_clause,[],[f2723,f1400,f664,f2741]) ).
fof(f2723,plain,
( aSubsetOf0(sdtlbdtrb0(xc,sK2),szDzozmdt0(xc))
| ~ spl25_19
| ~ spl25_116 ),
inference(resolution,[],[f2592,f666]) ).
fof(f2739,plain,
( spl25_277
| ~ spl25_13
| ~ spl25_33
| ~ spl25_116 ),
inference(avatar_split_clause,[],[f2734,f1400,f741,f634,f2736]) ).
fof(f2734,plain,
( aSubsetOf0(sdtlbdtrb0(xe,sK2),szNzAzT0)
| ~ spl25_13
| ~ spl25_33
| ~ spl25_116 ),
inference(forward_demodulation,[],[f2726,f636]) ).
fof(f2726,plain,
( aSubsetOf0(sdtlbdtrb0(xe,sK2),szDzozmdt0(xe))
| ~ spl25_33
| ~ spl25_116 ),
inference(resolution,[],[f2592,f743]) ).
fof(f2733,plain,
( spl25_276
| ~ spl25_15
| ~ spl25_28
| ~ spl25_116 ),
inference(avatar_split_clause,[],[f2728,f1400,f713,f644,f2730]) ).
fof(f2728,plain,
( aSubsetOf0(sdtlbdtrb0(xd,sK2),szNzAzT0)
| ~ spl25_15
| ~ spl25_28
| ~ spl25_116 ),
inference(forward_demodulation,[],[f2727,f646]) ).
fof(f2727,plain,
( aSubsetOf0(sdtlbdtrb0(xd,sK2),szDzozmdt0(xd))
| ~ spl25_28
| ~ spl25_116 ),
inference(resolution,[],[f2592,f715]) ).
fof(f2710,plain,
( spl25_275
| ~ spl25_86 ),
inference(avatar_split_clause,[],[f2691,f1115,f2707]) ).
fof(f2707,plain,
( spl25_275
<=> szmzizndt0(szNzAzT0) = sbrdtbr0(slbdtrb0(szmzizndt0(szNzAzT0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_275])]) ).
fof(f2691,plain,
( szmzizndt0(szNzAzT0) = sbrdtbr0(slbdtrb0(szmzizndt0(szNzAzT0)))
| ~ spl25_86 ),
inference(resolution,[],[f475,f1117]) ).
fof(f2705,plain,
( spl25_274
| ~ spl25_182 ),
inference(avatar_split_clause,[],[f2694,f1989,f2702]) ).
fof(f2702,plain,
( spl25_274
<=> sbrdtbr0(slbdtrb0(sK1(xK))) = sK1(xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_274])]) ).
fof(f2694,plain,
( sbrdtbr0(slbdtrb0(sK1(xK))) = sK1(xK)
| ~ spl25_182 ),
inference(resolution,[],[f475,f1990]) ).
fof(f2700,plain,
( spl25_273
| ~ spl25_29 ),
inference(avatar_split_clause,[],[f2692,f718,f2697]) ).
fof(f2692,plain,
( xK = sbrdtbr0(slbdtrb0(xK))
| ~ spl25_29 ),
inference(resolution,[],[f475,f720]) ).
fof(f2684,plain,
( ~ spl25_14
| spl25_272 ),
inference(avatar_split_clause,[],[f2678,f2682,f639]) ).
fof(f2682,plain,
( spl25_272
<=> ! [X9] :
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sbrdtbr0(X9)),sbrdtbr0(X9))
| ~ aSet0(X9)
| ~ isFinite0(X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_272])]) ).
fof(f2678,plain,
! [X9] :
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sbrdtbr0(X9)),sbrdtbr0(X9))
| ~ isFinite0(X9)
| ~ aSet0(X9)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f444,f410]) ).
fof(f444,plain,
! [X0] :
( aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ aSet0(X0)
| ~ isFinite0(X0) ),
inference(cnf_transformation,[],[f289]) ).
fof(f289,plain,
! [X0] :
( ~ aSet0(X0)
| ( ( isFinite0(X0)
| ~ aElementOf0(sbrdtbr0(X0),szNzAzT0) )
& ( aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ isFinite0(X0) ) ) ),
inference(nnf_transformation,[],[f212]) ).
fof(f212,plain,
! [X0] :
( ~ aSet0(X0)
| ( isFinite0(X0)
<=> aElementOf0(sbrdtbr0(X0),szNzAzT0) ) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X0] :
( aSet0(X0)
=> ( isFinite0(X0)
<=> aElementOf0(sbrdtbr0(X0),szNzAzT0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardNum) ).
fof(f2658,plain,
( ~ spl25_271
| ~ spl25_208
| ~ spl25_49
| spl25_136 ),
inference(avatar_split_clause,[],[f2653,f1526,f844,f2139,f2655]) ).
fof(f844,plain,
( spl25_49
<=> isCountable0(sdtlpdtrp0(xN,xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_49])]) ).
fof(f2653,plain,
( ~ isCountable0(sdtlpdtrp0(xN,xK))
| ~ aSet0(sdtlpdtrp0(xN,xK))
| ~ aElement0(sdtlpdtrp0(xe,xK))
| spl25_136 ),
inference(resolution,[],[f1528,f489]) ).
fof(f489,plain,
! [X0,X1] :
( isCountable0(sdtmndt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
! [X0] :
( ! [X1] :
( ~ isCountable0(X1)
| ~ aSet0(X1)
| isCountable0(sdtmndt0(X1,X0)) )
| ~ aElement0(X0) ),
inference(flattening,[],[f141]) ).
fof(f141,plain,
! [X0] :
( ! [X1] :
( isCountable0(sdtmndt0(X1,X0))
| ~ aSet0(X1)
| ~ isCountable0(X1) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( aElement0(X0)
=> ! [X1] :
( ( aSet0(X1)
& isCountable0(X1) )
=> isCountable0(sdtmndt0(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCDiffSet) ).
fof(f1528,plain,
( ~ isCountable0(sdtmndt0(sdtlpdtrp0(xN,xK),sdtlpdtrp0(xe,xK)))
| spl25_136 ),
inference(avatar_component_clause,[],[f1526]) ).
fof(f2635,plain,
( spl25_270
| ~ spl25_37
| ~ spl25_269
| ~ spl25_108 ),
inference(avatar_split_clause,[],[f2617,f1359,f2628,f772,f2633]) ).
fof(f2633,plain,
( spl25_270
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sz00 = X0
| aElementOf0(X0,sdtmndt0(szNzAzT0,sz00)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_270])]) ).
fof(f1359,plain,
( spl25_108
<=> szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sz00),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_108])]) ).
fof(f2617,plain,
( ! [X0] :
( ~ aSet0(sdtmndt0(szNzAzT0,sz00))
| ~ aElement0(sz00)
| ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(X0,sdtmndt0(szNzAzT0,sz00))
| sz00 = X0 )
| ~ spl25_108 ),
inference(superposition,[],[f535,f1361]) ).
fof(f1361,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sz00),sz00)
| ~ spl25_108 ),
inference(avatar_component_clause,[],[f1359]) ).
fof(f2631,plain,
( ~ spl25_268
| ~ spl25_37
| ~ spl25_269
| spl25_258
| ~ spl25_108 ),
inference(avatar_split_clause,[],[f2619,f1359,f2512,f2628,f772,f2624]) ).
fof(f2624,plain,
( spl25_268
<=> isFinite0(sdtmndt0(szNzAzT0,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_268])]) ).
fof(f2619,plain,
( isFinite0(szNzAzT0)
| ~ aSet0(sdtmndt0(szNzAzT0,sz00))
| ~ aElement0(sz00)
| ~ isFinite0(sdtmndt0(szNzAzT0,sz00))
| ~ spl25_108 ),
inference(superposition,[],[f525,f1361]) ).
fof(f525,plain,
! [X0,X1] :
( isFinite0(sdtpldt0(X1,X0))
| ~ aSet0(X1)
| ~ isFinite0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f168]) ).
fof(f168,plain,
! [X0] :
( ! [X1] :
( isFinite0(sdtpldt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(flattening,[],[f167]) ).
fof(f167,plain,
! [X0] :
( ! [X1] :
( isFinite0(sdtpldt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0] :
( aElement0(X0)
=> ! [X1] :
( ( isFinite0(X1)
& aSet0(X1) )
=> isFinite0(sdtpldt0(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mFConsSet) ).
fof(f2586,plain,
( spl25_267
| ~ spl25_116
| ~ spl25_114
| ~ spl25_106 ),
inference(avatar_split_clause,[],[f2045,f1350,f1392,f1400,f2584]) ).
fof(f1350,plain,
( spl25_106
<=> xO = sdtpldt0(sdtmndt0(xO,sK2),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_106])]) ).
fof(f2045,plain,
( ! [X0] :
( ~ aSet0(sdtmndt0(xO,sK2))
| ~ aElement0(sK2)
| ~ aElementOf0(X0,xO)
| sK2 = X0
| aElementOf0(X0,sdtmndt0(xO,sK2)) )
| ~ spl25_106 ),
inference(superposition,[],[f535,f1352]) ).
fof(f1352,plain,
( xO = sdtpldt0(sdtmndt0(xO,sK2),sK2)
| ~ spl25_106 ),
inference(avatar_component_clause,[],[f1350]) ).
fof(f2582,plain,
( spl25_176
| ~ spl25_35
| ~ spl25_41
| ~ spl25_92
| ~ spl25_135 ),
inference(avatar_split_clause,[],[f2581,f1518,f1152,f803,f751,f1872]) ).
fof(f1518,plain,
( spl25_135
<=> aSet0(sdtmndt0(sdtlpdtrp0(xN,xk),sdtlpdtrp0(xe,xk))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_135])]) ).
fof(f2581,plain,
( aSet0(sdtmndt0(xS,szmzizndt0(xS)))
| ~ spl25_35
| ~ spl25_41
| ~ spl25_92
| ~ spl25_135 ),
inference(forward_demodulation,[],[f2580,f753]) ).
fof(f2580,plain,
( aSet0(sdtmndt0(sdtlpdtrp0(xN,sz00),szmzizndt0(xS)))
| ~ spl25_41
| ~ spl25_92
| ~ spl25_135 ),
inference(forward_demodulation,[],[f2579,f805]) ).
fof(f2579,plain,
( aSet0(sdtmndt0(sdtlpdtrp0(xN,sz00),sdtlpdtrp0(xe,sz00)))
| ~ spl25_92
| ~ spl25_135 ),
inference(forward_demodulation,[],[f1519,f1154]) ).
fof(f1519,plain,
( aSet0(sdtmndt0(sdtlpdtrp0(xN,xk),sdtlpdtrp0(xe,xk)))
| ~ spl25_135 ),
inference(avatar_component_clause,[],[f1518]) ).
fof(f2578,plain,
( spl25_178
| ~ spl25_35
| ~ spl25_41
| ~ spl25_92
| ~ spl25_131 ),
inference(avatar_split_clause,[],[f2577,f1502,f1152,f803,f751,f1906]) ).
fof(f1906,plain,
( spl25_178
<=> isCountable0(sdtmndt0(xS,szmzizndt0(xS))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_178])]) ).
fof(f1502,plain,
( spl25_131
<=> isCountable0(sdtmndt0(sdtlpdtrp0(xN,xk),sdtlpdtrp0(xe,xk))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_131])]) ).
fof(f2577,plain,
( isCountable0(sdtmndt0(xS,szmzizndt0(xS)))
| ~ spl25_35
| ~ spl25_41
| ~ spl25_92
| ~ spl25_131 ),
inference(forward_demodulation,[],[f2576,f753]) ).
fof(f2576,plain,
( isCountable0(sdtmndt0(sdtlpdtrp0(xN,sz00),szmzizndt0(xS)))
| ~ spl25_41
| ~ spl25_92
| ~ spl25_131 ),
inference(forward_demodulation,[],[f2575,f805]) ).
fof(f2575,plain,
( isCountable0(sdtmndt0(sdtlpdtrp0(xN,sz00),sdtlpdtrp0(xe,sz00)))
| ~ spl25_92
| ~ spl25_131 ),
inference(forward_demodulation,[],[f1503,f1154]) ).
fof(f1503,plain,
( isCountable0(sdtmndt0(sdtlpdtrp0(xN,xk),sdtlpdtrp0(xe,xk)))
| ~ spl25_131 ),
inference(avatar_component_clause,[],[f1502]) ).
fof(f2570,plain,
( ~ spl25_74
| ~ spl25_5
| ~ spl25_221
| spl25_178 ),
inference(avatar_split_clause,[],[f2425,f1906,f2213,f595,f1033]) ).
fof(f2425,plain,
( ~ aElement0(szmzizndt0(xS))
| ~ isCountable0(xS)
| ~ aSet0(xS)
| spl25_178 ),
inference(resolution,[],[f1908,f489]) ).
fof(f1908,plain,
( ~ isCountable0(sdtmndt0(xS,szmzizndt0(xS)))
| spl25_178 ),
inference(avatar_component_clause,[],[f1906]) ).
fof(f2569,plain,
( ~ spl25_116
| ~ spl25_18
| spl25_114 ),
inference(avatar_split_clause,[],[f1522,f1392,f659,f1400]) ).
fof(f1522,plain,
( ~ aSet0(xO)
| ~ aElement0(sK2)
| spl25_114 ),
inference(resolution,[],[f1394,f548]) ).
fof(f1394,plain,
( ~ aSet0(sdtmndt0(xO,sK2))
| spl25_114 ),
inference(avatar_component_clause,[],[f1392]) ).
fof(f2568,plain,
( ~ spl25_14
| ~ spl25_257
| spl25_255 ),
inference(avatar_split_clause,[],[f2524,f2500,f2507,f639]) ).
fof(f2524,plain,
( ~ aElement0(xK)
| ~ aSet0(szNzAzT0)
| spl25_255 ),
inference(resolution,[],[f2502,f548]) ).
fof(f2502,plain,
( ~ aSet0(sdtmndt0(szNzAzT0,xK))
| spl25_255 ),
inference(avatar_component_clause,[],[f2500]) ).
fof(f2567,plain,
( ~ spl25_74
| ~ spl25_221
| spl25_176 ),
inference(avatar_split_clause,[],[f2420,f1872,f2213,f1033]) ).
fof(f2420,plain,
( ~ aElement0(szmzizndt0(xS))
| ~ aSet0(xS)
| spl25_176 ),
inference(resolution,[],[f1874,f548]) ).
fof(f1874,plain,
( ~ aSet0(sdtmndt0(xS,szmzizndt0(xS)))
| spl25_176 ),
inference(avatar_component_clause,[],[f1872]) ).
fof(f2566,plain,
( ~ spl25_14
| spl25_266 ),
inference(avatar_split_clause,[],[f2533,f2564,f639]) ).
fof(f2564,plain,
( spl25_266
<=> ! [X3] :
( ~ aElementOf0(X3,szNzAzT0)
| sz00 = X3
| aElement0(sK1(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_266])]) ).
fof(f2533,plain,
! [X3] :
( ~ aElementOf0(X3,szNzAzT0)
| aElement0(sK1(X3))
| ~ aSet0(szNzAzT0)
| sz00 = X3 ),
inference(resolution,[],[f473,f347]) ).
fof(f2562,plain,
( spl25_257
| ~ spl25_14
| ~ spl25_29 ),
inference(avatar_split_clause,[],[f2532,f718,f639,f2507]) ).
fof(f2532,plain,
( ~ aSet0(szNzAzT0)
| aElement0(xK)
| ~ spl25_29 ),
inference(resolution,[],[f473,f720]) ).
fof(f2561,plain,
( ~ spl25_34
| spl25_265 ),
inference(avatar_split_clause,[],[f2537,f2559,f746]) ).
fof(f2537,plain,
! [X5] :
( ~ aElementOf0(X5,szNzAzT0)
| aElement0(sK19(X5))
| ~ aSet0(xT) ),
inference(resolution,[],[f473,f506]) ).
fof(f2557,plain,
( ~ spl25_14
| spl25_264 ),
inference(avatar_split_clause,[],[f2528,f2555,f639]) ).
fof(f2528,plain,
! [X2] :
( aElement0(szszuzczcdt0(X2))
| ~ aSet0(szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(resolution,[],[f473,f346]) ).
fof(f2553,plain,
( spl25_116
| ~ spl25_18
| ~ spl25_4 ),
inference(avatar_split_clause,[],[f2535,f590,f659,f1400]) ).
fof(f2535,plain,
( ~ aSet0(xO)
| aElement0(sK2)
| ~ spl25_4 ),
inference(resolution,[],[f473,f592]) ).
fof(f2552,plain,
( ~ spl25_74
| spl25_221
| ~ spl25_83 ),
inference(avatar_split_clause,[],[f2529,f1101,f2213,f1033]) ).
fof(f2529,plain,
( aElement0(szmzizndt0(xS))
| ~ aSet0(xS)
| ~ spl25_83 ),
inference(resolution,[],[f473,f1103]) ).
fof(f2551,plain,
( spl25_263
| ~ spl25_14
| ~ spl25_86 ),
inference(avatar_split_clause,[],[f2530,f1115,f639,f2548]) ).
fof(f2548,plain,
( spl25_263
<=> aElement0(szmzizndt0(szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_263])]) ).
fof(f2530,plain,
( ~ aSet0(szNzAzT0)
| aElement0(szmzizndt0(szNzAzT0))
| ~ spl25_86 ),
inference(resolution,[],[f473,f1117]) ).
fof(f2546,plain,
( spl25_262
| ~ spl25_14
| ~ spl25_182 ),
inference(avatar_split_clause,[],[f2534,f1989,f639,f2543]) ).
fof(f2543,plain,
( spl25_262
<=> aElement0(sK1(xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_262])]) ).
fof(f2534,plain,
( ~ aSet0(szNzAzT0)
| aElement0(sK1(xK))
| ~ spl25_182 ),
inference(resolution,[],[f473,f1990]) ).
fof(f2541,plain,
( ~ spl25_34
| spl25_261 ),
inference(avatar_split_clause,[],[f2536,f2539,f746]) ).
fof(f2536,plain,
! [X4] :
( ~ aElementOf0(X4,szNzAzT0)
| ~ aSet0(xT)
| aElement0(sK14(X4)) ),
inference(resolution,[],[f473,f479]) ).
fof(f2523,plain,
( ~ spl25_257
| spl25_260
| ~ spl25_255
| ~ spl25_105 ),
inference(avatar_split_clause,[],[f2493,f1345,f2500,f2521,f2507]) ).
fof(f2521,plain,
( spl25_260
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(X0,sdtmndt0(szNzAzT0,xK))
| xK = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_260])]) ).
fof(f1345,plain,
( spl25_105
<=> szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,xK),xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_105])]) ).
fof(f2493,plain,
( ! [X0] :
( ~ aSet0(sdtmndt0(szNzAzT0,xK))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElement0(xK)
| xK = X0
| aElementOf0(X0,sdtmndt0(szNzAzT0,xK)) )
| ~ spl25_105 ),
inference(superposition,[],[f535,f1347]) ).
fof(f1347,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,xK),xK)
| ~ spl25_105 ),
inference(avatar_component_clause,[],[f1345]) ).
fof(f2519,plain,
( spl25_258
| ~ spl25_257
| ~ spl25_259
| ~ spl25_255
| ~ spl25_105 ),
inference(avatar_split_clause,[],[f2495,f1345,f2500,f2516,f2507,f2512]) ).
fof(f2516,plain,
( spl25_259
<=> isFinite0(sdtmndt0(szNzAzT0,xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_259])]) ).
fof(f2495,plain,
( ~ aSet0(sdtmndt0(szNzAzT0,xK))
| ~ isFinite0(sdtmndt0(szNzAzT0,xK))
| ~ aElement0(xK)
| isFinite0(szNzAzT0)
| ~ spl25_105 ),
inference(superposition,[],[f525,f1347]) ).
fof(f2510,plain,
( ~ spl25_255
| spl25_256
| ~ spl25_257
| ~ spl25_105 ),
inference(avatar_split_clause,[],[f2494,f1345,f2507,f2504,f2500]) ).
fof(f2494,plain,
( ! [X1] :
( ~ aElement0(xK)
| ~ aElementOf0(X1,szNzAzT0)
| aElement0(X1)
| ~ aSet0(sdtmndt0(szNzAzT0,xK)) )
| ~ spl25_105 ),
inference(superposition,[],[f536,f1347]) ).
fof(f2491,plain,
( ~ spl25_182
| spl25_243 ),
inference(avatar_split_clause,[],[f2490,f2371,f1989]) ).
fof(f2371,plain,
( spl25_243
<=> isCountable0(sdtlpdtrp0(xN,sK1(xK))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_243])]) ).
fof(f2490,plain,
( ~ aElementOf0(sK1(xK),szNzAzT0)
| spl25_243 ),
inference(resolution,[],[f2373,f522]) ).
fof(f522,plain,
! [X0] :
( isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f2373,plain,
( ~ isCountable0(sdtlpdtrp0(xN,sK1(xK)))
| spl25_243 ),
inference(avatar_component_clause,[],[f2371]) ).
fof(f2489,plain,
( ~ spl25_31
| spl25_254
| ~ spl25_17 ),
inference(avatar_split_clause,[],[f2471,f654,f2487,f729]) ).
fof(f2471,plain,
( ! [X2,X3] :
( sdtlpdtrp0(xC,sK21(xC,X2,X3)) = sK20(xC,X2,X3)
| ~ aSet0(X3)
| ~ aSubsetOf0(X2,szNzAzT0)
| ~ aFunction0(xC)
| aElementOf0(sK20(xC,X2,X3),X3)
| sdtlcdtrc0(xC,X2) = X3 )
| ~ spl25_17 ),
inference(superposition,[],[f512,f656]) ).
fof(f2485,plain,
( ~ spl25_28
| spl25_253
| ~ spl25_15 ),
inference(avatar_split_clause,[],[f2473,f644,f2483,f713]) ).
fof(f2483,plain,
( spl25_253
<=> ! [X6,X7] :
( aElementOf0(sK20(xd,X6,X7),X7)
| sK20(xd,X6,X7) = sdtlpdtrp0(xd,sK21(xd,X6,X7))
| ~ aSet0(X7)
| ~ aSubsetOf0(X6,szNzAzT0)
| sdtlcdtrc0(xd,X6) = X7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_253])]) ).
fof(f2473,plain,
( ! [X6,X7] :
( aElementOf0(sK20(xd,X6,X7),X7)
| sdtlcdtrc0(xd,X6) = X7
| ~ aFunction0(xd)
| ~ aSubsetOf0(X6,szNzAzT0)
| ~ aSet0(X7)
| sK20(xd,X6,X7) = sdtlpdtrp0(xd,sK21(xd,X6,X7)) )
| ~ spl25_15 ),
inference(superposition,[],[f512,f646]) ).
fof(f2481,plain,
( ~ spl25_24
| spl25_252
| ~ spl25_3 ),
inference(avatar_split_clause,[],[f2470,f585,f2479,f693]) ).
fof(f2479,plain,
( spl25_252
<=> ! [X0,X1] :
( ~ aSet0(X1)
| sdtlpdtrp0(xN,sK21(xN,X0,X1)) = sK20(xN,X0,X1)
| aElementOf0(sK20(xN,X0,X1),X1)
| ~ aSubsetOf0(X0,szNzAzT0)
| sdtlcdtrc0(xN,X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_252])]) ).
fof(f2470,plain,
( ! [X0,X1] :
( ~ aSet0(X1)
| sdtlcdtrc0(xN,X0) = X1
| ~ aSubsetOf0(X0,szNzAzT0)
| aElementOf0(sK20(xN,X0,X1),X1)
| ~ aFunction0(xN)
| sdtlpdtrp0(xN,sK21(xN,X0,X1)) = sK20(xN,X0,X1) )
| ~ spl25_3 ),
inference(superposition,[],[f512,f587]) ).
fof(f2477,plain,
( ~ spl25_33
| spl25_251
| ~ spl25_13 ),
inference(avatar_split_clause,[],[f2472,f634,f2475,f741]) ).
fof(f2472,plain,
( ! [X4,X5] :
( ~ aSet0(X5)
| ~ aFunction0(xe)
| sdtlcdtrc0(xe,X4) = X5
| aElementOf0(sK20(xe,X4,X5),X5)
| sdtlpdtrp0(xe,sK21(xe,X4,X5)) = sK20(xe,X4,X5)
| ~ aSubsetOf0(X4,szNzAzT0) )
| ~ spl25_13 ),
inference(superposition,[],[f512,f636]) ).
fof(f2464,plain,
( ~ spl25_28
| spl25_250
| ~ spl25_15 ),
inference(avatar_split_clause,[],[f2448,f644,f2462,f713]) ).
fof(f2462,plain,
( spl25_250
<=> ! [X6,X7] :
( ~ aSubsetOf0(X6,szNzAzT0)
| aElementOf0(sK20(xd,X6,X7),X7)
| sdtlcdtrc0(xd,X6) = X7
| ~ aSet0(X7)
| aElementOf0(sK21(xd,X6,X7),X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_250])]) ).
fof(f2448,plain,
( ! [X6,X7] :
( ~ aSubsetOf0(X6,szNzAzT0)
| aElementOf0(sK21(xd,X6,X7),X6)
| ~ aSet0(X7)
| sdtlcdtrc0(xd,X6) = X7
| aElementOf0(sK20(xd,X6,X7),X7)
| ~ aFunction0(xd) )
| ~ spl25_15 ),
inference(superposition,[],[f511,f646]) ).
fof(f2460,plain,
( ~ spl25_33
| spl25_249
| ~ spl25_13 ),
inference(avatar_split_clause,[],[f2447,f634,f2458,f741]) ).
fof(f2458,plain,
( spl25_249
<=> ! [X4,X5] :
( sdtlcdtrc0(xe,X4) = X5
| aElementOf0(sK21(xe,X4,X5),X4)
| ~ aSubsetOf0(X4,szNzAzT0)
| ~ aSet0(X5)
| aElementOf0(sK20(xe,X4,X5),X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_249])]) ).
fof(f2447,plain,
( ! [X4,X5] :
( sdtlcdtrc0(xe,X4) = X5
| ~ aFunction0(xe)
| aElementOf0(sK20(xe,X4,X5),X5)
| ~ aSet0(X5)
| ~ aSubsetOf0(X4,szNzAzT0)
| aElementOf0(sK21(xe,X4,X5),X4) )
| ~ spl25_13 ),
inference(superposition,[],[f511,f636]) ).
fof(f2456,plain,
( spl25_248
| ~ spl25_24
| ~ spl25_3 ),
inference(avatar_split_clause,[],[f2445,f585,f693,f2454]) ).
fof(f2454,plain,
( spl25_248
<=> ! [X0,X1] :
( ~ aSubsetOf0(X0,szNzAzT0)
| aElementOf0(sK21(xN,X0,X1),X0)
| aElementOf0(sK20(xN,X0,X1),X1)
| ~ aSet0(X1)
| sdtlcdtrc0(xN,X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_248])]) ).
fof(f2445,plain,
( ! [X0,X1] :
( ~ aFunction0(xN)
| ~ aSubsetOf0(X0,szNzAzT0)
| sdtlcdtrc0(xN,X0) = X1
| ~ aSet0(X1)
| aElementOf0(sK20(xN,X0,X1),X1)
| aElementOf0(sK21(xN,X0,X1),X0) )
| ~ spl25_3 ),
inference(superposition,[],[f511,f587]) ).
fof(f2452,plain,
( ~ spl25_31
| spl25_247
| ~ spl25_17 ),
inference(avatar_split_clause,[],[f2446,f654,f2450,f729]) ).
fof(f2446,plain,
( ! [X2,X3] :
( aElementOf0(sK21(xC,X2,X3),X2)
| aElementOf0(sK20(xC,X2,X3),X3)
| sdtlcdtrc0(xC,X2) = X3
| ~ aFunction0(xC)
| ~ aSubsetOf0(X2,szNzAzT0)
| ~ aSet0(X3) )
| ~ spl25_17 ),
inference(superposition,[],[f511,f656]) ).
fof(f2443,plain,
( ~ spl25_129
| spl25_130
| spl25_246
| ~ spl25_40 ),
inference(avatar_split_clause,[],[f2437,f797,f2441,f1495,f1491]) ).
fof(f2437,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| szmzizndt0(X0) = sdtlpdtrp0(xe,xK)
| ~ aElementOf0(sdtlpdtrp0(xe,xK),X0)
| slcrc0 = X0
| slcrc0 = sdtlpdtrp0(xN,xK)
| ~ aSubsetOf0(sdtlpdtrp0(xN,xK),szNzAzT0)
| ~ aElementOf0(szmzizndt0(X0),sdtlpdtrp0(xN,xK)) )
| ~ spl25_40 ),
inference(superposition,[],[f412,f799]) ).
fof(f2407,plain,
( ~ spl25_14
| spl25_245 ),
inference(avatar_split_clause,[],[f2406,f2402,f639]) ).
fof(f2406,plain,
( ~ aSet0(szNzAzT0)
| spl25_245 ),
inference(resolution,[],[f2404,f484]) ).
fof(f2404,plain,
( ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| spl25_245 ),
inference(avatar_component_clause,[],[f2402]) ).
fof(f2405,plain,
( spl25_244
| ~ spl25_6
| ~ spl25_28
| ~ spl25_245
| ~ spl25_15
| spl25_79
| ~ spl25_99
| ~ spl25_237 ),
inference(avatar_split_clause,[],[f2396,f2323,f1238,f1067,f644,f2402,f713,f600,f2398]) ).
fof(f2398,plain,
( spl25_244
<=> sdtlpdtrp0(xd,sK7(xd)) = sK19(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_244])]) ).
fof(f2396,plain,
( ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| ~ aFunction0(xd)
| ~ isCountable0(szNzAzT0)
| sdtlpdtrp0(xd,sK7(xd)) = sK19(sz00)
| ~ spl25_15
| spl25_79
| ~ spl25_99
| ~ spl25_237 ),
inference(forward_demodulation,[],[f2395,f1240]) ).
fof(f2395,plain,
( sdtlpdtrp0(xd,sK7(xd)) = sdtlpdtrp0(xd,sz00)
| ~ aFunction0(xd)
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| ~ isCountable0(szNzAzT0)
| ~ spl25_15
| spl25_79
| ~ spl25_237 ),
inference(forward_demodulation,[],[f2394,f646]) ).
fof(f2394,plain,
( ~ isCountable0(szNzAzT0)
| ~ aSubsetOf0(szNzAzT0,szDzozmdt0(xd))
| ~ aFunction0(xd)
| sdtlpdtrp0(xd,sK7(xd)) = sdtlpdtrp0(xd,sz00)
| spl25_79
| ~ spl25_237 ),
inference(forward_demodulation,[],[f2392,f2325]) ).
fof(f2374,plain,
( spl25_242
| ~ spl25_182
| ~ spl25_243
| ~ spl25_93 ),
inference(avatar_split_clause,[],[f2361,f1157,f2371,f1989,f2367]) ).
fof(f2367,plain,
( spl25_242
<=> aSubsetOf0(sdtlpdtrp0(xN,xK),sdtmndt0(sdtlpdtrp0(xN,sK1(xK)),sdtlpdtrp0(xe,sK1(xK)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_242])]) ).
fof(f2361,plain,
( ~ isCountable0(sdtlpdtrp0(xN,sK1(xK)))
| ~ aElementOf0(sK1(xK),szNzAzT0)
| aSubsetOf0(sdtlpdtrp0(xN,xK),sdtmndt0(sdtlpdtrp0(xN,sK1(xK)),sdtlpdtrp0(xe,sK1(xK))))
| ~ spl25_93 ),
inference(superposition,[],[f899,f1159]) ).
fof(f2345,plain,
( spl25_241
| ~ spl25_14
| ~ spl25_217 ),
inference(avatar_split_clause,[],[f2320,f2190,f639,f2342]) ).
fof(f2342,plain,
( spl25_241
<=> szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK6(xd)),sK6(xd)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_241])]) ).
fof(f2320,plain,
( ~ aSet0(szNzAzT0)
| szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK6(xd)),sK6(xd))
| ~ spl25_217 ),
inference(resolution,[],[f2192,f410]) ).
fof(f2340,plain,
( spl25_240
| ~ spl25_92
| ~ spl25_217 ),
inference(avatar_split_clause,[],[f2316,f2190,f1152,f2337]) ).
fof(f2337,plain,
( spl25_240
<=> szDzozmdt0(sdtlpdtrp0(xC,sK6(xd))) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK6(xd)),sdtlpdtrp0(xe,sK6(xd))),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_240])]) ).
fof(f2316,plain,
( szDzozmdt0(sdtlpdtrp0(xC,sK6(xd))) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK6(xd)),sdtlpdtrp0(xe,sK6(xd))),sz00)
| ~ spl25_92
| ~ spl25_217 ),
inference(resolution,[],[f2192,f1784]) ).
fof(f2335,plain,
( spl25_239
| ~ spl25_217 ),
inference(avatar_split_clause,[],[f2319,f2190,f2332]) ).
fof(f2332,plain,
( spl25_239
<=> szmzizndt0(sdtlpdtrp0(xN,sK6(xd))) = sdtlpdtrp0(xe,sK6(xd)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_239])]) ).
fof(f2319,plain,
( szmzizndt0(sdtlpdtrp0(xN,sK6(xd))) = sdtlpdtrp0(xe,sK6(xd))
| ~ spl25_217 ),
inference(resolution,[],[f2192,f357]) ).
fof(f2330,plain,
( spl25_237
| spl25_238
| ~ spl25_217 ),
inference(avatar_split_clause,[],[f2318,f2190,f2327,f2323]) ).
fof(f2318,plain,
( szszuzczcdt0(sK1(sK6(xd))) = sK6(xd)
| sz00 = sK6(xd)
| ~ spl25_217 ),
inference(resolution,[],[f2192,f348]) ).
fof(f2314,plain,
( spl25_236
| ~ spl25_92
| ~ spl25_155 ),
inference(avatar_split_clause,[],[f2309,f1667,f1152,f2311]) ).
fof(f2311,plain,
( spl25_236
<=> slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,szmzizndt0(szNzAzT0)),sdtlpdtrp0(xe,szmzizndt0(szNzAzT0))),sz00) = szDzozmdt0(sdtlpdtrp0(xC,szmzizndt0(szNzAzT0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_236])]) ).
fof(f1667,plain,
( spl25_155
<=> slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,szmzizndt0(szNzAzT0)),sdtlpdtrp0(xe,szmzizndt0(szNzAzT0))),xk) = szDzozmdt0(sdtlpdtrp0(xC,szmzizndt0(szNzAzT0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_155])]) ).
fof(f2309,plain,
( slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,szmzizndt0(szNzAzT0)),sdtlpdtrp0(xe,szmzizndt0(szNzAzT0))),sz00) = szDzozmdt0(sdtlpdtrp0(xC,szmzizndt0(szNzAzT0)))
| ~ spl25_92
| ~ spl25_155 ),
inference(forward_demodulation,[],[f1669,f1154]) ).
fof(f1669,plain,
( slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,szmzizndt0(szNzAzT0)),sdtlpdtrp0(xe,szmzizndt0(szNzAzT0))),xk) = szDzozmdt0(sdtlpdtrp0(xC,szmzizndt0(szNzAzT0)))
| ~ spl25_155 ),
inference(avatar_component_clause,[],[f1667]) ).
fof(f2308,plain,
( ~ spl25_14
| spl25_85
| spl25_235 ),
inference(avatar_split_clause,[],[f2286,f2306,f1111,f639]) ).
fof(f2286,plain,
! [X0] :
( aElementOf0(sK11(szNzAzT0,X0),szNzAzT0)
| slcrc0 = szNzAzT0
| szmzizndt0(szNzAzT0) = X0
| ~ aSet0(szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[],[f440,f484]) ).
fof(f2304,plain,
( spl25_234
| ~ spl25_14
| spl25_85
| ~ spl25_154 ),
inference(avatar_split_clause,[],[f2300,f1662,f1111,f639,f2302]) ).
fof(f2300,plain,
( ! [X0] :
( slcrc0 = szNzAzT0
| ~ aSet0(szNzAzT0)
| sz00 = X0
| aElementOf0(sK11(szNzAzT0,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl25_154 ),
inference(forward_demodulation,[],[f2286,f1664]) ).
fof(f2299,plain,
( spl25_84
| spl25_233
| ~ spl25_30 ),
inference(avatar_split_clause,[],[f2289,f724,f2297,f1105]) ).
fof(f2289,plain,
( ! [X4] :
( szmzizndt0(xS) = X4
| aElementOf0(sK11(xS,X4),xS)
| slcrc0 = xS
| ~ aElementOf0(X4,xS) )
| ~ spl25_30 ),
inference(resolution,[],[f440,f726]) ).
fof(f2295,plain,
( spl25_130
| spl25_232
| ~ spl25_40
| ~ spl25_129 ),
inference(avatar_split_clause,[],[f2291,f1491,f797,f2293,f1495]) ).
fof(f2293,plain,
( spl25_232
<=> ! [X3] :
( ~ aElementOf0(X3,sdtlpdtrp0(xN,xK))
| sdtlpdtrp0(xe,xK) = X3
| aElementOf0(sK11(sdtlpdtrp0(xN,xK),X3),sdtlpdtrp0(xN,xK)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_232])]) ).
fof(f2291,plain,
( ! [X3] :
( ~ aElementOf0(X3,sdtlpdtrp0(xN,xK))
| aElementOf0(sK11(sdtlpdtrp0(xN,xK),X3),sdtlpdtrp0(xN,xK))
| sdtlpdtrp0(xe,xK) = X3
| slcrc0 = sdtlpdtrp0(xN,xK) )
| ~ spl25_40
| ~ spl25_129 ),
inference(forward_demodulation,[],[f2288,f799]) ).
fof(f2288,plain,
( ! [X3] :
( ~ aElementOf0(X3,sdtlpdtrp0(xN,xK))
| szmzizndt0(sdtlpdtrp0(xN,xK)) = X3
| aElementOf0(sK11(sdtlpdtrp0(xN,xK),X3),sdtlpdtrp0(xN,xK))
| slcrc0 = sdtlpdtrp0(xN,xK) )
| ~ spl25_129 ),
inference(resolution,[],[f440,f1492]) ).
fof(f2277,plain,
( ~ spl25_29
| ~ spl25_74
| spl25_231
| ~ spl25_9 ),
inference(avatar_split_clause,[],[f2272,f614,f2275,f1033,f718]) ).
fof(f2275,plain,
( spl25_231
<=> ! [X0] :
( ~ aSubsetOf0(X0,szDzozmdt0(xc))
| ~ isFinite0(X0)
| aSubsetOf0(sK3(xK,xS,X0),xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_231])]) ).
fof(f2272,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,szDzozmdt0(xc))
| aSubsetOf0(sK3(xK,xS,X0),xS)
| ~ aSet0(xS)
| ~ aElementOf0(xK,szNzAzT0)
| ~ isFinite0(X0) )
| ~ spl25_9 ),
inference(superposition,[],[f367,f616]) ).
fof(f2270,plain,
( ~ spl25_33
| spl25_229
| ~ spl25_230
| ~ spl25_13
| ~ spl25_23 ),
inference(avatar_split_clause,[],[f2262,f686,f634,f2267,f2264,f741]) ).
fof(f2262,plain,
( ! [X0] :
( ~ aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szNzAzT0)
| aElementOf0(sK22(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)),X0),sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ aElementOf0(X0,xO)
| ~ aFunction0(xe) )
| ~ spl25_13
| ~ spl25_23 ),
inference(forward_demodulation,[],[f2261,f636]) ).
fof(f2261,plain,
( ! [X0] :
( ~ aFunction0(xe)
| ~ aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szDzozmdt0(xe))
| ~ aElementOf0(X0,xO)
| aElementOf0(sK22(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)),X0),sdtlbdtrb0(xd,szDzizrdt0(xd))) )
| ~ spl25_23 ),
inference(superposition,[],[f571,f688]) ).
fof(f2256,plain,
( spl25_228
| ~ spl25_209 ),
inference(avatar_split_clause,[],[f2230,f2153,f2253]) ).
fof(f2253,plain,
( spl25_228
<=> sdtlpdtrp0(xe,sK7(xd)) = szmzizndt0(sdtlpdtrp0(xN,sK7(xd))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_228])]) ).
fof(f2230,plain,
( sdtlpdtrp0(xe,sK7(xd)) = szmzizndt0(sdtlpdtrp0(xN,sK7(xd)))
| ~ spl25_209 ),
inference(resolution,[],[f2155,f357]) ).
fof(f2251,plain,
( spl25_226
| spl25_227
| ~ spl25_209 ),
inference(avatar_split_clause,[],[f2229,f2153,f2248,f2244]) ).
fof(f2229,plain,
( sz00 = sK7(xd)
| sK7(xd) = szszuzczcdt0(sK1(sK7(xd)))
| ~ spl25_209 ),
inference(resolution,[],[f2155,f348]) ).
fof(f2242,plain,
( spl25_225
| ~ spl25_14
| ~ spl25_209 ),
inference(avatar_split_clause,[],[f2231,f2153,f639,f2239]) ).
fof(f2239,plain,
( spl25_225
<=> szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK7(xd)),sK7(xd)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_225])]) ).
fof(f2231,plain,
( ~ aSet0(szNzAzT0)
| szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK7(xd)),sK7(xd))
| ~ spl25_209 ),
inference(resolution,[],[f2155,f410]) ).
fof(f2237,plain,
( spl25_224
| ~ spl25_92
| ~ spl25_209 ),
inference(avatar_split_clause,[],[f2227,f2153,f1152,f2234]) ).
fof(f2234,plain,
( spl25_224
<=> szDzozmdt0(sdtlpdtrp0(xC,sK7(xd))) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK7(xd)),sdtlpdtrp0(xe,sK7(xd))),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_224])]) ).
fof(f2227,plain,
( szDzozmdt0(sdtlpdtrp0(xC,sK7(xd))) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK7(xd)),sdtlpdtrp0(xe,sK7(xd))),sz00)
| ~ spl25_92
| ~ spl25_209 ),
inference(resolution,[],[f2155,f1784]) ).
fof(f2226,plain,
( ~ spl25_2
| ~ spl25_24
| spl25_222
| ~ spl25_223
| ~ spl25_3
| ~ spl25_35 ),
inference(avatar_split_clause,[],[f2217,f751,f585,f2223,f2219,f693,f580]) ).
fof(f2217,plain,
( ~ aElement0(xS)
| aElementOf0(sz00,sdtlbdtrb0(xN,xS))
| ~ aFunction0(xN)
| ~ aElementOf0(sz00,szNzAzT0)
| ~ spl25_3
| ~ spl25_35 ),
inference(forward_demodulation,[],[f2194,f587]) ).
fof(f2194,plain,
( ~ aElementOf0(sz00,szDzozmdt0(xN))
| aElementOf0(sz00,sdtlbdtrb0(xN,xS))
| ~ aFunction0(xN)
| ~ aElement0(xS)
| ~ spl25_35 ),
inference(superposition,[],[f533,f753]) ).
fof(f2216,plain,
( spl25_220
| ~ spl25_221
| ~ spl25_2
| ~ spl25_33
| ~ spl25_13
| ~ spl25_41 ),
inference(avatar_split_clause,[],[f2207,f803,f634,f741,f580,f2213,f2209]) ).
fof(f2207,plain,
( ~ aFunction0(xe)
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aElement0(szmzizndt0(xS))
| aElementOf0(sz00,sdtlbdtrb0(xe,szmzizndt0(xS)))
| ~ spl25_13
| ~ spl25_41 ),
inference(forward_demodulation,[],[f2195,f636]) ).
fof(f2195,plain,
( ~ aElement0(szmzizndt0(xS))
| ~ aFunction0(xe)
| aElementOf0(sz00,sdtlbdtrb0(xe,szmzizndt0(xS)))
| ~ aElementOf0(sz00,szDzozmdt0(xe))
| ~ spl25_41 ),
inference(superposition,[],[f533,f805]) ).
fof(f2206,plain,
( spl25_218
| ~ spl25_219
| ~ spl25_2
| ~ spl25_28
| ~ spl25_15
| ~ spl25_99 ),
inference(avatar_split_clause,[],[f2197,f1238,f644,f713,f580,f2203,f2199]) ).
fof(f2197,plain,
( ~ aFunction0(xd)
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aElement0(sK19(sz00))
| aElementOf0(sz00,sdtlbdtrb0(xd,sK19(sz00)))
| ~ spl25_15
| ~ spl25_99 ),
inference(forward_demodulation,[],[f2196,f646]) ).
fof(f2196,plain,
( ~ aFunction0(xd)
| ~ aElement0(sK19(sz00))
| aElementOf0(sz00,sdtlbdtrb0(xd,sK19(sz00)))
| ~ aElementOf0(sz00,szDzozmdt0(xd))
| ~ spl25_99 ),
inference(superposition,[],[f533,f1240]) ).
fof(f2193,plain,
( spl25_217
| ~ spl25_28
| spl25_210
| ~ spl25_15 ),
inference(avatar_split_clause,[],[f2188,f644,f2157,f713,f2190]) ).
fof(f2188,plain,
( ! [X3] :
( ~ aSubsetOf0(X3,szNzAzT0)
| isCountable0(sdtlcdtrc0(xd,X3))
| ~ aFunction0(xd)
| ~ isCountable0(X3)
| aElementOf0(sK6(xd),szNzAzT0) )
| ~ spl25_15 ),
inference(superposition,[],[f397,f646]) ).
fof(f2183,plain,
( ~ spl25_31
| spl25_215
| spl25_216
| ~ spl25_17 ),
inference(avatar_split_clause,[],[f2149,f654,f2181,f2177,f729]) ).
fof(f2181,plain,
( spl25_216
<=> ! [X1] :
( ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| isCountable0(sdtlcdtrc0(xC,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_216])]) ).
fof(f2149,plain,
( ! [X1] :
( ~ isCountable0(X1)
| aElementOf0(sK7(xC),szNzAzT0)
| ~ aFunction0(xC)
| isCountable0(sdtlcdtrc0(xC,X1))
| ~ aSubsetOf0(X1,szNzAzT0) )
| ~ spl25_17 ),
inference(superposition,[],[f396,f656]) ).
fof(f2175,plain,
( spl25_213
| ~ spl25_33
| spl25_214
| ~ spl25_13 ),
inference(avatar_split_clause,[],[f2150,f634,f2172,f741,f2169]) ).
fof(f2169,plain,
( spl25_213
<=> ! [X2] :
( ~ aSubsetOf0(X2,szNzAzT0)
| ~ isCountable0(X2)
| isCountable0(sdtlcdtrc0(xe,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_213])]) ).
fof(f2150,plain,
( ! [X2] :
( aElementOf0(sK7(xe),szNzAzT0)
| ~ aFunction0(xe)
| ~ aSubsetOf0(X2,szNzAzT0)
| isCountable0(sdtlcdtrc0(xe,X2))
| ~ isCountable0(X2) )
| ~ spl25_13 ),
inference(superposition,[],[f396,f636]) ).
fof(f2167,plain,
( spl25_211
| spl25_212
| ~ spl25_24
| ~ spl25_3 ),
inference(avatar_split_clause,[],[f2148,f585,f693,f2165,f2161]) ).
fof(f2165,plain,
( spl25_212
<=> ! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| isCountable0(sdtlcdtrc0(xN,X0))
| ~ isCountable0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_212])]) ).
fof(f2148,plain,
( ! [X0] :
( ~ aFunction0(xN)
| ~ aSubsetOf0(X0,szNzAzT0)
| aElementOf0(sK7(xN),szNzAzT0)
| ~ isCountable0(X0)
| isCountable0(sdtlcdtrc0(xN,X0)) )
| ~ spl25_3 ),
inference(superposition,[],[f396,f587]) ).
fof(f2159,plain,
( spl25_209
| spl25_210
| ~ spl25_28
| ~ spl25_15 ),
inference(avatar_split_clause,[],[f2151,f644,f713,f2157,f2153]) ).
fof(f2151,plain,
( ! [X3] :
( ~ aFunction0(xd)
| ~ aSubsetOf0(X3,szNzAzT0)
| aElementOf0(sK7(xd),szNzAzT0)
| isCountable0(sdtlcdtrc0(xd,X3))
| ~ isCountable0(X3) )
| ~ spl25_15 ),
inference(superposition,[],[f396,f646]) ).
fof(f2142,plain,
( spl25_208
| ~ spl25_14
| ~ spl25_129 ),
inference(avatar_split_clause,[],[f2131,f1491,f639,f2139]) ).
fof(f2131,plain,
( aSet0(sdtlpdtrp0(xN,xK))
| ~ spl25_14
| ~ spl25_129 ),
inference(resolution,[],[f1492,f949]) ).
fof(f2137,plain,
( spl25_130
| spl25_207
| ~ spl25_40
| ~ spl25_129 ),
inference(avatar_split_clause,[],[f2132,f1491,f797,f2134,f1495]) ).
fof(f2132,plain,
( aElementOf0(sdtlpdtrp0(xe,xK),sdtlpdtrp0(xN,xK))
| slcrc0 = sdtlpdtrp0(xN,xK)
| ~ spl25_40
| ~ spl25_129 ),
inference(forward_demodulation,[],[f2130,f799]) ).
fof(f2130,plain,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xK)),sdtlpdtrp0(xN,xK))
| slcrc0 = sdtlpdtrp0(xN,xK)
| ~ spl25_129 ),
inference(resolution,[],[f1492,f547]) ).
fof(f2126,plain,
( ~ spl25_29
| spl25_129 ),
inference(avatar_split_clause,[],[f2125,f1491,f718]) ).
fof(f2125,plain,
( ~ aElementOf0(xK,szNzAzT0)
| spl25_129 ),
inference(resolution,[],[f1493,f521]) ).
fof(f1493,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,xK),szNzAzT0)
| spl25_129 ),
inference(avatar_component_clause,[],[f1491]) ).
fof(f2119,plain,
( ~ spl25_182
| spl25_206
| ~ spl25_183 ),
inference(avatar_split_clause,[],[f2102,f1994,f2117,f1989]) ).
fof(f2117,plain,
( spl25_206
<=> ! [X6,X5] :
( ~ isCountable0(X6)
| aSubsetOf0(sK24(sK1(xK),X6,X5),X6)
| ~ aSubsetOf0(sdtlcdtrc0(X5,szDzozmdt0(X5)),xT)
| ~ aFunction0(X5)
| szDzozmdt0(X5) != slbdtsldtrb0(X6,sK1(xK))
| ~ aSubsetOf0(X6,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_206])]) ).
fof(f1994,plain,
( spl25_183
<=> iLess0(sK1(xK),xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_183])]) ).
fof(f2102,plain,
( ! [X6,X5] :
( ~ isCountable0(X6)
| ~ aElementOf0(sK1(xK),szNzAzT0)
| ~ aSubsetOf0(X6,szNzAzT0)
| ~ aFunction0(X5)
| szDzozmdt0(X5) != slbdtsldtrb0(X6,sK1(xK))
| ~ aSubsetOf0(sdtlcdtrc0(X5,szDzozmdt0(X5)),xT)
| aSubsetOf0(sK24(sK1(xK),X6,X5),X6) )
| ~ spl25_183 ),
inference(resolution,[],[f1996,f517]) ).
fof(f517,plain,
! [X2,X0,X1] :
( ~ iLess0(X0,xK)
| aSubsetOf0(sK24(X0,X1,X2),X1)
| ~ aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aFunction0(X2)
| slbdtsldtrb0(X1,X0) != szDzozmdt0(X2)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f335]) ).
fof(f335,plain,
! [X0] :
( ! [X1] :
( ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| ! [X2] :
( ~ iLess0(X0,xK)
| ~ aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT)
| slbdtsldtrb0(X1,X0) != szDzozmdt0(X2)
| ~ aFunction0(X2)
| ( aElementOf0(sK23(X0,X1,X2),xT)
& isCountable0(sK24(X0,X1,X2))
& ! [X5] :
( ~ aElementOf0(X5,slbdtsldtrb0(sK24(X0,X1,X2),X0))
| sdtlpdtrp0(X2,X5) = sK23(X0,X1,X2) )
& aSubsetOf0(sK24(X0,X1,X2),X1) ) ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK23,sK24])],[f183,f334,f333]) ).
fof(f333,plain,
! [X0,X1,X2] :
( ? [X3] :
( aElementOf0(X3,xT)
& ? [X4] :
( isCountable0(X4)
& ! [X5] :
( ~ aElementOf0(X5,slbdtsldtrb0(X4,X0))
| sdtlpdtrp0(X2,X5) = X3 )
& aSubsetOf0(X4,X1) ) )
=> ( aElementOf0(sK23(X0,X1,X2),xT)
& ? [X4] :
( isCountable0(X4)
& ! [X5] :
( ~ aElementOf0(X5,slbdtsldtrb0(X4,X0))
| sdtlpdtrp0(X2,X5) = sK23(X0,X1,X2) )
& aSubsetOf0(X4,X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f334,plain,
! [X0,X1,X2] :
( ? [X4] :
( isCountable0(X4)
& ! [X5] :
( ~ aElementOf0(X5,slbdtsldtrb0(X4,X0))
| sdtlpdtrp0(X2,X5) = sK23(X0,X1,X2) )
& aSubsetOf0(X4,X1) )
=> ( isCountable0(sK24(X0,X1,X2))
& ! [X5] :
( ~ aElementOf0(X5,slbdtsldtrb0(sK24(X0,X1,X2),X0))
| sdtlpdtrp0(X2,X5) = sK23(X0,X1,X2) )
& aSubsetOf0(sK24(X0,X1,X2),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f183,plain,
! [X0] :
( ! [X1] :
( ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| ! [X2] :
( ~ iLess0(X0,xK)
| ~ aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT)
| slbdtsldtrb0(X1,X0) != szDzozmdt0(X2)
| ~ aFunction0(X2)
| ? [X3] :
( aElementOf0(X3,xT)
& ? [X4] :
( isCountable0(X4)
& ! [X5] :
( ~ aElementOf0(X5,slbdtsldtrb0(X4,X0))
| sdtlpdtrp0(X2,X5) = X3 )
& aSubsetOf0(X4,X1) ) ) ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f182]) ).
fof(f182,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ? [X3] :
( aElementOf0(X3,xT)
& ? [X4] :
( isCountable0(X4)
& ! [X5] :
( ~ aElementOf0(X5,slbdtsldtrb0(X4,X0))
| sdtlpdtrp0(X2,X5) = X3 )
& aSubsetOf0(X4,X1) ) )
| ~ iLess0(X0,xK)
| ~ aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT)
| ~ aFunction0(X2)
| slbdtsldtrb0(X1,X0) != szDzozmdt0(X2) )
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szNzAzT0) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f77]) ).
fof(f77,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( ( isCountable0(X1)
& aSubsetOf0(X1,szNzAzT0) )
=> ! [X2] :
( ( aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT)
& aFunction0(X2)
& slbdtsldtrb0(X1,X0) = szDzozmdt0(X2) )
=> ( iLess0(X0,xK)
=> ? [X3] :
( aElementOf0(X3,xT)
& ? [X4] :
( isCountable0(X4)
& ! [X5] :
( aElementOf0(X5,slbdtsldtrb0(X4,X0))
=> sdtlpdtrp0(X2,X5) = X3 )
& aSubsetOf0(X4,X1) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3398) ).
fof(f1996,plain,
( iLess0(sK1(xK),xK)
| ~ spl25_183 ),
inference(avatar_component_clause,[],[f1994]) ).
fof(f2115,plain,
( spl25_205
| ~ spl25_182
| ~ spl25_183 ),
inference(avatar_split_clause,[],[f2101,f1994,f1989,f2113]) ).
fof(f2113,plain,
( spl25_205
<=> ! [X4,X3] :
( ~ aFunction0(X4)
| ~ aSubsetOf0(X3,szNzAzT0)
| aElementOf0(sK23(sK1(xK),X3,X4),xT)
| szDzozmdt0(X4) != slbdtsldtrb0(X3,sK1(xK))
| ~ aSubsetOf0(sdtlcdtrc0(X4,szDzozmdt0(X4)),xT)
| ~ isCountable0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_205])]) ).
fof(f2101,plain,
( ! [X3,X4] :
( ~ aElementOf0(sK1(xK),szNzAzT0)
| ~ aFunction0(X4)
| ~ isCountable0(X3)
| ~ aSubsetOf0(sdtlcdtrc0(X4,szDzozmdt0(X4)),xT)
| szDzozmdt0(X4) != slbdtsldtrb0(X3,sK1(xK))
| aElementOf0(sK23(sK1(xK),X3,X4),xT)
| ~ aSubsetOf0(X3,szNzAzT0) )
| ~ spl25_183 ),
inference(resolution,[],[f1996,f520]) ).
fof(f520,plain,
! [X2,X0,X1] :
( ~ iLess0(X0,xK)
| ~ aElementOf0(X0,szNzAzT0)
| ~ isCountable0(X1)
| aElementOf0(sK23(X0,X1,X2),xT)
| slbdtsldtrb0(X1,X0) != szDzozmdt0(X2)
| ~ aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT)
| ~ aFunction0(X2)
| ~ aSubsetOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f335]) ).
fof(f2111,plain,
( ~ spl25_182
| spl25_204
| ~ spl25_183 ),
inference(avatar_split_clause,[],[f2103,f1994,f2109,f1989]) ).
fof(f2109,plain,
( spl25_204
<=> ! [X7,X8] :
( isCountable0(sK24(sK1(xK),X8,X7))
| ~ aSubsetOf0(X8,szNzAzT0)
| szDzozmdt0(X7) != slbdtsldtrb0(X8,sK1(xK))
| ~ isCountable0(X8)
| ~ aFunction0(X7)
| ~ aSubsetOf0(sdtlcdtrc0(X7,szDzozmdt0(X7)),xT) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_204])]) ).
fof(f2103,plain,
( ! [X8,X7] :
( isCountable0(sK24(sK1(xK),X8,X7))
| ~ aSubsetOf0(sdtlcdtrc0(X7,szDzozmdt0(X7)),xT)
| ~ aElementOf0(sK1(xK),szNzAzT0)
| ~ aFunction0(X7)
| ~ isCountable0(X8)
| szDzozmdt0(X7) != slbdtsldtrb0(X8,sK1(xK))
| ~ aSubsetOf0(X8,szNzAzT0) )
| ~ spl25_183 ),
inference(resolution,[],[f1996,f519]) ).
fof(f519,plain,
! [X2,X0,X1] :
( ~ iLess0(X0,xK)
| ~ aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT)
| ~ aFunction0(X2)
| ~ isCountable0(X1)
| isCountable0(sK24(X0,X1,X2))
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| slbdtsldtrb0(X1,X0) != szDzozmdt0(X2) ),
inference(cnf_transformation,[],[f335]) ).
fof(f2107,plain,
( ~ spl25_182
| spl25_203
| ~ spl25_183 ),
inference(avatar_split_clause,[],[f2100,f1994,f2105,f1989]) ).
fof(f2105,plain,
( spl25_203
<=> ! [X2,X0,X1] :
( szDzozmdt0(X0) != slbdtsldtrb0(X2,sK1(xK))
| sdtlpdtrp0(X0,X1) = sK23(sK1(xK),X2,X0)
| ~ isCountable0(X2)
| ~ aElementOf0(X1,slbdtsldtrb0(sK24(sK1(xK),X2,X0),sK1(xK)))
| ~ aSubsetOf0(X2,szNzAzT0)
| ~ aFunction0(X0)
| ~ aSubsetOf0(sdtlcdtrc0(X0,szDzozmdt0(X0)),xT) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_203])]) ).
fof(f2100,plain,
( ! [X2,X0,X1] :
( szDzozmdt0(X0) != slbdtsldtrb0(X2,sK1(xK))
| ~ aSubsetOf0(sdtlcdtrc0(X0,szDzozmdt0(X0)),xT)
| ~ aFunction0(X0)
| ~ aSubsetOf0(X2,szNzAzT0)
| ~ aElementOf0(sK1(xK),szNzAzT0)
| ~ aElementOf0(X1,slbdtsldtrb0(sK24(sK1(xK),X2,X0),sK1(xK)))
| ~ isCountable0(X2)
| sdtlpdtrp0(X0,X1) = sK23(sK1(xK),X2,X0) )
| ~ spl25_183 ),
inference(resolution,[],[f1996,f518]) ).
fof(f518,plain,
! [X2,X0,X1,X5] :
( ~ iLess0(X0,xK)
| ~ isCountable0(X1)
| slbdtsldtrb0(X1,X0) != szDzozmdt0(X2)
| ~ aElementOf0(X5,slbdtsldtrb0(sK24(X0,X1,X2),X0))
| ~ aFunction0(X2)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT)
| ~ aElementOf0(X0,szNzAzT0)
| sdtlpdtrp0(X2,X5) = sK23(X0,X1,X2) ),
inference(cnf_transformation,[],[f335]) ).
fof(f2099,plain,
( spl25_201
| spl25_202
| ~ spl25_182 ),
inference(avatar_split_clause,[],[f2072,f1989,f2096,f2092]) ).
fof(f2092,plain,
( spl25_201
<=> sK1(xK) = szszuzczcdt0(sK1(sK1(xK))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_201])]) ).
fof(f2072,plain,
( sz00 = sK1(xK)
| sK1(xK) = szszuzczcdt0(sK1(sK1(xK)))
| ~ spl25_182 ),
inference(resolution,[],[f1990,f348]) ).
fof(f2090,plain,
( ~ spl25_14
| spl25_200
| ~ spl25_182 ),
inference(avatar_split_clause,[],[f2074,f1989,f2087,f639]) ).
fof(f2087,plain,
( spl25_200
<=> szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK1(xK)),sK1(xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_200])]) ).
fof(f2074,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK1(xK)),sK1(xK))
| ~ aSet0(szNzAzT0)
| ~ spl25_182 ),
inference(resolution,[],[f1990,f410]) ).
fof(f2085,plain,
( spl25_199
| ~ spl25_92
| ~ spl25_182 ),
inference(avatar_split_clause,[],[f2070,f1989,f1152,f2082]) ).
fof(f2082,plain,
( spl25_199
<=> szDzozmdt0(sdtlpdtrp0(xC,sK1(xK))) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK1(xK)),sdtlpdtrp0(xe,sK1(xK))),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_199])]) ).
fof(f2070,plain,
( szDzozmdt0(sdtlpdtrp0(xC,sK1(xK))) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK1(xK)),sdtlpdtrp0(xe,sK1(xK))),sz00)
| ~ spl25_92
| ~ spl25_182 ),
inference(resolution,[],[f1990,f1784]) ).
fof(f2080,plain,
( spl25_198
| ~ spl25_182 ),
inference(avatar_split_clause,[],[f2073,f1989,f2077]) ).
fof(f2077,plain,
( spl25_198
<=> szmzizndt0(sdtlpdtrp0(xN,sK1(xK))) = sdtlpdtrp0(xe,sK1(xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_198])]) ).
fof(f2073,plain,
( szmzizndt0(sdtlpdtrp0(xN,sK1(xK))) = sdtlpdtrp0(xe,sK1(xK))
| ~ spl25_182 ),
inference(resolution,[],[f1990,f357]) ).
fof(f2069,plain,
( ~ spl25_33
| spl25_197
| ~ spl25_13 ),
inference(avatar_split_clause,[],[f2052,f634,f2067,f741]) ).
fof(f2067,plain,
( spl25_197
<=> ! [X4,X5] :
( aElementOf0(sdtlpdtrp0(xe,X5),sdtlcdtrc0(xe,X4))
| ~ aElementOf0(X5,X4)
| ~ aSubsetOf0(X4,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_197])]) ).
fof(f2052,plain,
( ! [X4,X5] :
( aElementOf0(sdtlpdtrp0(xe,X5),sdtlcdtrc0(xe,X4))
| ~ aFunction0(xe)
| ~ aSubsetOf0(X4,szNzAzT0)
| ~ aElementOf0(X5,X4) )
| ~ spl25_13 ),
inference(superposition,[],[f569,f636]) ).
fof(f2065,plain,
( ~ spl25_24
| spl25_196
| ~ spl25_3 ),
inference(avatar_split_clause,[],[f2050,f585,f2063,f693]) ).
fof(f2050,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aElementOf0(sdtlpdtrp0(xN,X1),sdtlcdtrc0(xN,X0))
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ aFunction0(xN) )
| ~ spl25_3 ),
inference(superposition,[],[f569,f587]) ).
fof(f2061,plain,
( ~ spl25_31
| spl25_195
| ~ spl25_17 ),
inference(avatar_split_clause,[],[f2051,f654,f2059,f729]) ).
fof(f2051,plain,
( ! [X2,X3] :
( aElementOf0(sdtlpdtrp0(xC,X3),sdtlcdtrc0(xC,X2))
| ~ aFunction0(xC)
| ~ aElementOf0(X3,X2)
| ~ aSubsetOf0(X2,szNzAzT0) )
| ~ spl25_17 ),
inference(superposition,[],[f569,f656]) ).
fof(f2057,plain,
( ~ spl25_28
| spl25_194
| ~ spl25_15 ),
inference(avatar_split_clause,[],[f2053,f644,f2055,f713]) ).
fof(f2053,plain,
( ! [X6,X7] :
( ~ aElementOf0(X7,X6)
| ~ aSubsetOf0(X6,szNzAzT0)
| aElementOf0(sdtlpdtrp0(xd,X7),sdtlcdtrc0(xd,X6))
| ~ aFunction0(xd) )
| ~ spl25_15 ),
inference(superposition,[],[f569,f646]) ).
fof(f2048,plain,
( ~ spl25_29
| spl25_1
| spl25_182 ),
inference(avatar_split_clause,[],[f2047,f1989,f575,f718]) ).
fof(f2047,plain,
( sz00 = xK
| ~ aElementOf0(xK,szNzAzT0)
| spl25_182 ),
inference(resolution,[],[f1991,f347]) ).
fof(f1991,plain,
( ~ aElementOf0(sK1(xK),szNzAzT0)
| spl25_182 ),
inference(avatar_component_clause,[],[f1989]) ).
fof(f2040,plain,
( ~ spl25_182
| spl25_193
| ~ spl25_93 ),
inference(avatar_split_clause,[],[f1977,f1157,f2038,f1989]) ).
fof(f2038,plain,
( spl25_193
<=> ! [X3] :
( ~ aElementOf0(X3,szNzAzT0)
| ~ sdtlseqdt0(sK1(xK),X3)
| sdtlseqdt0(xK,szszuzczcdt0(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_193])]) ).
fof(f1977,plain,
( ! [X3] :
( ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(sK1(xK),szNzAzT0)
| sdtlseqdt0(xK,szszuzczcdt0(X3))
| ~ sdtlseqdt0(sK1(xK),X3) )
| ~ spl25_93 ),
inference(superposition,[],[f421,f1159]) ).
fof(f2036,plain,
( ~ spl25_182
| ~ spl25_192
| ~ spl25_93 ),
inference(avatar_split_clause,[],[f1972,f1157,f2033,f1989]) ).
fof(f2033,plain,
( spl25_192
<=> xK = sK1(xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_192])]) ).
fof(f1972,plain,
( xK != sK1(xK)
| ~ aElementOf0(sK1(xK),szNzAzT0)
| ~ spl25_93 ),
inference(superposition,[],[f379,f1159]) ).
fof(f2031,plain,
( ~ spl25_182
| spl25_191
| ~ spl25_93 ),
inference(avatar_split_clause,[],[f1974,f1157,f2029,f1989]) ).
fof(f2029,plain,
( spl25_191
<=> ! [X0] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),xK)
| sdtlseqdt0(X0,sK1(xK))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_191])]) ).
fof(f1974,plain,
( ! [X0] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),xK)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(sK1(xK),szNzAzT0)
| sdtlseqdt0(X0,sK1(xK)) )
| ~ spl25_93 ),
inference(superposition,[],[f420,f1159]) ).
fof(f2027,plain,
( ~ spl25_182
| spl25_187
| ~ spl25_93 ),
inference(avatar_split_clause,[],[f1982,f1157,f2012,f1989]) ).
fof(f2012,plain,
( spl25_187
<=> ! [X5] :
( sK1(xK) = X5
| ~ aElementOf0(X5,szNzAzT0)
| xK != szszuzczcdt0(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_187])]) ).
fof(f1982,plain,
( ! [X6] :
( ~ aElementOf0(X6,szNzAzT0)
| ~ aElementOf0(sK1(xK),szNzAzT0)
| xK != szszuzczcdt0(X6)
| sK1(xK) = X6 )
| ~ spl25_93 ),
inference(superposition,[],[f514,f1159]) ).
fof(f2026,plain,
( spl25_189
| ~ spl25_182
| spl25_190
| ~ spl25_92
| ~ spl25_93 ),
inference(avatar_split_clause,[],[f1984,f1157,f1152,f2024,f1989,f2020]) ).
fof(f2020,plain,
( spl25_189
<=> sdtlpdtrp0(xd,sK1(xK)) = sK19(sK1(xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_189])]) ).
fof(f2024,plain,
( spl25_190
<=> ! [X8] :
( ~ aElementOf0(X8,slbdtsldtrb0(sdtlpdtrp0(xN,xK),sz00))
| ~ aSet0(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_190])]) ).
fof(f1984,plain,
( ! [X8] :
( ~ aElementOf0(X8,slbdtsldtrb0(sdtlpdtrp0(xN,xK),sz00))
| ~ aElementOf0(sK1(xK),szNzAzT0)
| sdtlpdtrp0(xd,sK1(xK)) = sK19(sK1(xK))
| ~ aSet0(X8) )
| ~ spl25_92
| ~ spl25_93 ),
inference(superposition,[],[f1783,f1159]) ).
fof(f2018,plain,
( spl25_188
| ~ spl25_182
| ~ spl25_93 ),
inference(avatar_split_clause,[],[f1978,f1157,f1989,f2016]) ).
fof(f2016,plain,
( spl25_188
<=> ! [X4] :
( sdtlseqdt0(xK,X4)
| ~ aElementOf0(X4,szNzAzT0)
| sdtlseqdt0(X4,sK1(xK)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_188])]) ).
fof(f1978,plain,
( ! [X4] :
( ~ aElementOf0(sK1(xK),szNzAzT0)
| sdtlseqdt0(xK,X4)
| sdtlseqdt0(X4,sK1(xK))
| ~ aElementOf0(X4,szNzAzT0) )
| ~ spl25_93 ),
inference(superposition,[],[f474,f1159]) ).
fof(f2014,plain,
( ~ spl25_182
| spl25_187
| ~ spl25_93 ),
inference(avatar_split_clause,[],[f1981,f1157,f2012,f1989]) ).
fof(f1981,plain,
( ! [X5] :
( sK1(xK) = X5
| xK != szszuzczcdt0(X5)
| ~ aElementOf0(sK1(xK),szNzAzT0)
| ~ aElementOf0(X5,szNzAzT0) )
| ~ spl25_93 ),
inference(superposition,[],[f514,f1159]) ).
fof(f2010,plain,
( spl25_186
| ~ spl25_182
| ~ spl25_93 ),
inference(avatar_split_clause,[],[f1973,f1157,f1989,f2007]) ).
fof(f2007,plain,
( spl25_186
<=> sdtlseqdt0(sK1(xK),xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_186])]) ).
fof(f1973,plain,
( ~ aElementOf0(sK1(xK),szNzAzT0)
| sdtlseqdt0(sK1(xK),xK)
| ~ spl25_93 ),
inference(superposition,[],[f383,f1159]) ).
fof(f2005,plain,
( ~ spl25_182
| spl25_185
| ~ spl25_93 ),
inference(avatar_split_clause,[],[f1976,f1157,f2003,f1989]) ).
fof(f2003,plain,
( spl25_185
<=> ! [X2] :
( ~ sdtlseqdt0(X2,sK1(xK))
| ~ aElementOf0(X2,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X2),xK) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_185])]) ).
fof(f1976,plain,
( ! [X2] :
( ~ sdtlseqdt0(X2,sK1(xK))
| sdtlseqdt0(szszuzczcdt0(X2),xK)
| ~ aElementOf0(sK1(xK),szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) )
| ~ spl25_93 ),
inference(superposition,[],[f421,f1159]) ).
fof(f2001,plain,
( spl25_184
| ~ spl25_182
| ~ spl25_92
| ~ spl25_93 ),
inference(avatar_split_clause,[],[f1983,f1157,f1152,f1989,f1999]) ).
fof(f1999,plain,
( spl25_184
<=> ! [X7] :
( ~ aElementOf0(X7,slbdtsldtrb0(sdtlpdtrp0(xN,xK),sz00))
| sK19(sK1(xK)) = sdtlpdtrp0(sdtlpdtrp0(xC,sK1(xK)),X7)
| ~ aSet0(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_184])]) ).
fof(f1983,plain,
( ! [X7] :
( ~ aElementOf0(sK1(xK),szNzAzT0)
| ~ aElementOf0(X7,slbdtsldtrb0(sdtlpdtrp0(xN,xK),sz00))
| ~ aSet0(X7)
| sK19(sK1(xK)) = sdtlpdtrp0(sdtlpdtrp0(xC,sK1(xK)),X7) )
| ~ spl25_92
| ~ spl25_93 ),
inference(superposition,[],[f1780,f1159]) ).
fof(f1997,plain,
( ~ spl25_182
| spl25_183
| ~ spl25_93 ),
inference(avatar_split_clause,[],[f1980,f1157,f1994,f1989]) ).
fof(f1980,plain,
( iLess0(sK1(xK),xK)
| ~ aElementOf0(sK1(xK),szNzAzT0)
| ~ spl25_93 ),
inference(superposition,[],[f483,f1159]) ).
fof(f1992,plain,
( spl25_181
| ~ spl25_182
| ~ spl25_93 ),
inference(avatar_split_clause,[],[f1975,f1157,f1989,f1986]) ).
fof(f1986,plain,
( spl25_181
<=> ! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(xK,szszuzczcdt0(X1))
| sdtlseqdt0(sK1(xK),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_181])]) ).
fof(f1975,plain,
( ! [X1] :
( ~ aElementOf0(sK1(xK),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(sK1(xK),X1)
| ~ sdtlseqdt0(xK,szszuzczcdt0(X1)) )
| ~ spl25_93 ),
inference(superposition,[],[f420,f1159]) ).
fof(f1941,plain,
( spl25_96
| ~ spl25_62
| ~ spl25_92 ),
inference(avatar_split_clause,[],[f1180,f1152,f944,f1213]) ).
fof(f1213,plain,
( spl25_96
<=> iLess0(sz00,xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_96])]) ).
fof(f944,plain,
( spl25_62
<=> iLess0(xk,xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_62])]) ).
fof(f1180,plain,
( iLess0(sz00,xK)
| ~ spl25_62
| ~ spl25_92 ),
inference(backward_demodulation,[],[f946,f1154]) ).
fof(f946,plain,
( iLess0(xk,xK)
| ~ spl25_62 ),
inference(avatar_component_clause,[],[f944]) ).
fof(f1933,plain,
( spl25_99
| ~ spl25_55
| ~ spl25_92 ),
inference(avatar_split_clause,[],[f1175,f1152,f888,f1238]) ).
fof(f888,plain,
( spl25_55
<=> sK19(xk) = sdtlpdtrp0(xd,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_55])]) ).
fof(f1175,plain,
( sK19(sz00) = sdtlpdtrp0(xd,sz00)
| ~ spl25_55
| ~ spl25_92 ),
inference(backward_demodulation,[],[f890,f1154]) ).
fof(f890,plain,
( sK19(xk) = sdtlpdtrp0(xd,xk)
| ~ spl25_55 ),
inference(avatar_component_clause,[],[f888]) ).
fof(f1932,plain,
( spl25_180
| ~ spl25_57
| ~ spl25_97 ),
inference(avatar_split_clause,[],[f1927,f1224,f902,f1929]) ).
fof(f1929,plain,
( spl25_180
<=> aSubsetOf0(sdtlpdtrp0(xN,xK),sdtmndt0(xS,szmzizndt0(xS))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_180])]) ).
fof(f902,plain,
( spl25_57
<=> aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(sz00)),sdtmndt0(xS,szmzizndt0(xS))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_57])]) ).
fof(f1927,plain,
( aSubsetOf0(sdtlpdtrp0(xN,xK),sdtmndt0(xS,szmzizndt0(xS)))
| ~ spl25_57
| ~ spl25_97 ),
inference(backward_demodulation,[],[f904,f1226]) ).
fof(f904,plain,
( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(sz00)),sdtmndt0(xS,szmzizndt0(xS)))
| ~ spl25_57 ),
inference(avatar_component_clause,[],[f902]) ).
fof(f1923,plain,
( spl25_98
| ~ spl25_52
| ~ spl25_92 ),
inference(avatar_split_clause,[],[f1790,f1152,f864,f1231]) ).
fof(f864,plain,
( spl25_52
<=> slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xK),sdtlpdtrp0(xe,xK)),xk) = szDzozmdt0(sdtlpdtrp0(xC,xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_52])]) ).
fof(f1790,plain,
( slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xK),sdtlpdtrp0(xe,xK)),sz00) = szDzozmdt0(sdtlpdtrp0(xC,xK))
| ~ spl25_52
| ~ spl25_92 ),
inference(backward_demodulation,[],[f866,f1154]) ).
fof(f866,plain,
( slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xK),sdtlpdtrp0(xe,xK)),xk) = szDzozmdt0(sdtlpdtrp0(xC,xK))
| ~ spl25_52 ),
inference(avatar_component_clause,[],[f864]) ).
fof(f1922,plain,
( spl25_94
| ~ spl25_35
| ~ spl25_41
| ~ spl25_50
| ~ spl25_92 ),
inference(avatar_split_clause,[],[f1921,f1152,f852,f803,f751,f1196]) ).
fof(f852,plain,
( spl25_50
<=> szDzozmdt0(sdtlpdtrp0(xC,xk)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xk),sdtlpdtrp0(xe,xk)),xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_50])]) ).
fof(f1921,plain,
( slbdtsldtrb0(sdtmndt0(xS,szmzizndt0(xS)),sz00) = szDzozmdt0(sdtlpdtrp0(xC,sz00))
| ~ spl25_35
| ~ spl25_41
| ~ spl25_50
| ~ spl25_92 ),
inference(forward_demodulation,[],[f1920,f753]) ).
fof(f1920,plain,
( slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sz00),szmzizndt0(xS)),sz00) = szDzozmdt0(sdtlpdtrp0(xC,sz00))
| ~ spl25_41
| ~ spl25_50
| ~ spl25_92 ),
inference(forward_demodulation,[],[f1788,f805]) ).
fof(f1788,plain,
( szDzozmdt0(sdtlpdtrp0(xC,sz00)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sz00),sdtlpdtrp0(xe,sz00)),sz00)
| ~ spl25_50
| ~ spl25_92 ),
inference(backward_demodulation,[],[f854,f1154]) ).
fof(f854,plain,
( szDzozmdt0(sdtlpdtrp0(xC,xk)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xk),sdtlpdtrp0(xe,xk)),xk)
| ~ spl25_50 ),
inference(avatar_component_clause,[],[f852]) ).
fof(f1919,plain,
( spl25_97
| ~ spl25_26
| ~ spl25_92 ),
inference(avatar_split_clause,[],[f1782,f1152,f703,f1224]) ).
fof(f703,plain,
( spl25_26
<=> xK = szszuzczcdt0(xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_26])]) ).
fof(f1782,plain,
( xK = szszuzczcdt0(sz00)
| ~ spl25_26
| ~ spl25_92 ),
inference(backward_demodulation,[],[f705,f1154]) ).
fof(f705,plain,
( xK = szszuzczcdt0(xk)
| ~ spl25_26 ),
inference(avatar_component_clause,[],[f703]) ).
fof(f1915,plain,
( ~ spl25_179
| ~ spl25_92
| spl25_170 ),
inference(avatar_split_clause,[],[f1831,f1766,f1152,f1912]) ).
fof(f1912,plain,
( spl25_179
<=> sdtlseqdt0(sK1(sz00),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_179])]) ).
fof(f1766,plain,
( spl25_170
<=> sdtlseqdt0(sK1(xk),xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_170])]) ).
fof(f1831,plain,
( ~ sdtlseqdt0(sK1(sz00),sz00)
| ~ spl25_92
| spl25_170 ),
inference(backward_demodulation,[],[f1767,f1154]) ).
fof(f1767,plain,
( ~ sdtlseqdt0(sK1(xk),xk)
| spl25_170 ),
inference(avatar_component_clause,[],[f1766]) ).
fof(f1910,plain,
( spl25_99
| ~ spl25_55
| ~ spl25_92 ),
inference(avatar_split_clause,[],[f1791,f1152,f888,f1238]) ).
fof(f1791,plain,
( sK19(sz00) = sdtlpdtrp0(xd,sz00)
| ~ spl25_55
| ~ spl25_92 ),
inference(backward_demodulation,[],[f890,f1154]) ).
fof(f1909,plain,
( ~ spl25_178
| ~ spl25_35
| ~ spl25_41
| ~ spl25_92
| spl25_131 ),
inference(avatar_split_clause,[],[f1904,f1502,f1152,f803,f751,f1906]) ).
fof(f1904,plain,
( ~ isCountable0(sdtmndt0(xS,szmzizndt0(xS)))
| ~ spl25_35
| ~ spl25_41
| ~ spl25_92
| spl25_131 ),
inference(forward_demodulation,[],[f1903,f753]) ).
fof(f1903,plain,
( ~ isCountable0(sdtmndt0(sdtlpdtrp0(xN,sz00),szmzizndt0(xS)))
| ~ spl25_41
| ~ spl25_92
| spl25_131 ),
inference(forward_demodulation,[],[f1814,f805]) ).
fof(f1814,plain,
( ~ isCountable0(sdtmndt0(sdtlpdtrp0(xN,sz00),sdtlpdtrp0(xe,sz00)))
| ~ spl25_92
| spl25_131 ),
inference(backward_demodulation,[],[f1504,f1154]) ).
fof(f1504,plain,
( ~ isCountable0(sdtmndt0(sdtlpdtrp0(xN,xk),sdtlpdtrp0(xe,xk)))
| spl25_131 ),
inference(avatar_component_clause,[],[f1502]) ).
fof(f1886,plain,
( ~ spl25_177
| ~ spl25_92
| spl25_164 ),
inference(avatar_split_clause,[],[f1829,f1741,f1152,f1883]) ).
fof(f1883,plain,
( spl25_177
<=> iLess0(sK1(sz00),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_177])]) ).
fof(f1741,plain,
( spl25_164
<=> iLess0(sK1(xk),xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_164])]) ).
fof(f1829,plain,
( ~ iLess0(sK1(sz00),sz00)
| ~ spl25_92
| spl25_164 ),
inference(backward_demodulation,[],[f1742,f1154]) ).
fof(f1742,plain,
( ~ iLess0(sK1(xk),xk)
| spl25_164 ),
inference(avatar_component_clause,[],[f1741]) ).
fof(f1881,plain,
( spl25_94
| ~ spl25_51
| ~ spl25_92 ),
inference(avatar_split_clause,[],[f1789,f1152,f859,f1196]) ).
fof(f859,plain,
( spl25_51
<=> slbdtsldtrb0(sdtmndt0(xS,szmzizndt0(xS)),xk) = szDzozmdt0(sdtlpdtrp0(xC,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_51])]) ).
fof(f1789,plain,
( slbdtsldtrb0(sdtmndt0(xS,szmzizndt0(xS)),sz00) = szDzozmdt0(sdtlpdtrp0(xC,sz00))
| ~ spl25_51
| ~ spl25_92 ),
inference(backward_demodulation,[],[f861,f1154]) ).
fof(f861,plain,
( slbdtsldtrb0(sdtmndt0(xS,szmzizndt0(xS)),xk) = szDzozmdt0(sdtlpdtrp0(xC,sz00))
| ~ spl25_51 ),
inference(avatar_component_clause,[],[f859]) ).
fof(f1875,plain,
( ~ spl25_176
| ~ spl25_35
| ~ spl25_41
| ~ spl25_92
| spl25_135 ),
inference(avatar_split_clause,[],[f1870,f1518,f1152,f803,f751,f1872]) ).
fof(f1870,plain,
( ~ aSet0(sdtmndt0(xS,szmzizndt0(xS)))
| ~ spl25_35
| ~ spl25_41
| ~ spl25_92
| spl25_135 ),
inference(forward_demodulation,[],[f1869,f753]) ).
fof(f1869,plain,
( ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,sz00),szmzizndt0(xS)))
| ~ spl25_41
| ~ spl25_92
| spl25_135 ),
inference(forward_demodulation,[],[f1817,f805]) ).
fof(f1817,plain,
( ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,sz00),sdtlpdtrp0(xe,sz00)))
| ~ spl25_92
| spl25_135 ),
inference(backward_demodulation,[],[f1520,f1154]) ).
fof(f1520,plain,
( ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,xk),sdtlpdtrp0(xe,xk)))
| spl25_135 ),
inference(avatar_component_clause,[],[f1518]) ).
fof(f1868,plain,
( ~ spl25_175
| ~ spl25_35
| ~ spl25_41
| ~ spl25_92
| spl25_134 ),
inference(avatar_split_clause,[],[f1863,f1514,f1152,f803,f751,f1865]) ).
fof(f1514,plain,
( spl25_134
<=> isFinite0(sdtmndt0(sdtlpdtrp0(xN,xk),sdtlpdtrp0(xe,xk))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_134])]) ).
fof(f1863,plain,
( ~ isFinite0(sdtmndt0(xS,szmzizndt0(xS)))
| ~ spl25_35
| ~ spl25_41
| ~ spl25_92
| spl25_134 ),
inference(forward_demodulation,[],[f1862,f753]) ).
fof(f1862,plain,
( ~ isFinite0(sdtmndt0(sdtlpdtrp0(xN,sz00),szmzizndt0(xS)))
| ~ spl25_41
| ~ spl25_92
| spl25_134 ),
inference(forward_demodulation,[],[f1816,f805]) ).
fof(f1816,plain,
( ~ isFinite0(sdtmndt0(sdtlpdtrp0(xN,sz00),sdtlpdtrp0(xe,sz00)))
| ~ spl25_92
| spl25_134 ),
inference(backward_demodulation,[],[f1516,f1154]) ).
fof(f1516,plain,
( ~ isFinite0(sdtmndt0(sdtlpdtrp0(xN,xk),sdtlpdtrp0(xe,xk)))
| spl25_134 ),
inference(avatar_component_clause,[],[f1514]) ).
fof(f1861,plain,
( ~ spl25_174
| ~ spl25_92
| spl25_133 ),
inference(avatar_split_clause,[],[f1815,f1510,f1152,f1858]) ).
fof(f1858,plain,
( spl25_174
<=> isFinite0(szDzozmdt0(sdtlpdtrp0(xC,sz00))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_174])]) ).
fof(f1510,plain,
( spl25_133
<=> isFinite0(szDzozmdt0(sdtlpdtrp0(xC,xk))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_133])]) ).
fof(f1815,plain,
( ~ isFinite0(szDzozmdt0(sdtlpdtrp0(xC,sz00)))
| ~ spl25_92
| spl25_133 ),
inference(backward_demodulation,[],[f1511,f1154]) ).
fof(f1511,plain,
( ~ isFinite0(szDzozmdt0(sdtlpdtrp0(xC,xk)))
| spl25_133 ),
inference(avatar_component_clause,[],[f1510]) ).
fof(f1852,plain,
( ~ spl25_173
| ~ spl25_92
| spl25_162 ),
inference(avatar_split_clause,[],[f1828,f1732,f1152,f1849]) ).
fof(f1849,plain,
( spl25_173
<=> sz00 = sK1(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_173])]) ).
fof(f1732,plain,
( spl25_162
<=> xk = sK1(xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_162])]) ).
fof(f1828,plain,
( sz00 != sK1(sz00)
| ~ spl25_92
| spl25_162 ),
inference(backward_demodulation,[],[f1734,f1154]) ).
fof(f1734,plain,
( xk != sK1(xk)
| spl25_162 ),
inference(avatar_component_clause,[],[f1732]) ).
fof(f1844,plain,
( ~ spl25_172
| ~ spl25_92
| spl25_157 ),
inference(avatar_split_clause,[],[f1827,f1710,f1152,f1841]) ).
fof(f1841,plain,
( spl25_172
<=> aElementOf0(sK1(sz00),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_172])]) ).
fof(f1710,plain,
( spl25_157
<=> aElementOf0(sK1(xk),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_157])]) ).
fof(f1827,plain,
( ~ aElementOf0(sK1(sz00),szNzAzT0)
| ~ spl25_92
| spl25_157 ),
inference(backward_demodulation,[],[f1712,f1154]) ).
fof(f1712,plain,
( ~ aElementOf0(sK1(xk),szNzAzT0)
| spl25_157 ),
inference(avatar_component_clause,[],[f1710]) ).
fof(f1839,plain,
( ~ spl25_171
| ~ spl25_92
| spl25_166 ),
inference(avatar_split_clause,[],[f1830,f1750,f1152,f1836]) ).
fof(f1836,plain,
( spl25_171
<=> sdtlpdtrp0(xd,sK1(sz00)) = sK19(sK1(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_171])]) ).
fof(f1750,plain,
( spl25_166
<=> sdtlpdtrp0(xd,sK1(xk)) = sK19(sK1(xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_166])]) ).
fof(f1830,plain,
( sdtlpdtrp0(xd,sK1(sz00)) != sK19(sK1(sz00))
| ~ spl25_92
| spl25_166 ),
inference(backward_demodulation,[],[f1751,f1154]) ).
fof(f1751,plain,
( sdtlpdtrp0(xd,sK1(xk)) != sK19(sK1(xk))
| spl25_166 ),
inference(avatar_component_clause,[],[f1750]) ).
fof(f1833,plain,
( spl25_96
| ~ spl25_62
| ~ spl25_92 ),
inference(avatar_split_clause,[],[f1796,f1152,f944,f1213]) ).
fof(f1796,plain,
( iLess0(sz00,xK)
| ~ spl25_62
| ~ spl25_92 ),
inference(backward_demodulation,[],[f946,f1154]) ).
fof(f1777,plain,
( spl25_98
| ~ spl25_52
| ~ spl25_92 ),
inference(avatar_split_clause,[],[f1174,f1152,f864,f1231]) ).
fof(f1174,plain,
( slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xK),sdtlpdtrp0(xe,xK)),sz00) = szDzozmdt0(sdtlpdtrp0(xC,xK))
| ~ spl25_52
| ~ spl25_92 ),
inference(backward_demodulation,[],[f866,f1154]) ).
fof(f1776,plain,
( spl25_94
| ~ spl25_35
| ~ spl25_41
| ~ spl25_50
| ~ spl25_92 ),
inference(avatar_split_clause,[],[f1775,f1152,f852,f803,f751,f1196]) ).
fof(f1775,plain,
( slbdtsldtrb0(sdtmndt0(xS,szmzizndt0(xS)),sz00) = szDzozmdt0(sdtlpdtrp0(xC,sz00))
| ~ spl25_35
| ~ spl25_41
| ~ spl25_50
| ~ spl25_92 ),
inference(forward_demodulation,[],[f1774,f753]) ).
fof(f1774,plain,
( slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sz00),szmzizndt0(xS)),sz00) = szDzozmdt0(sdtlpdtrp0(xC,sz00))
| ~ spl25_41
| ~ spl25_50
| ~ spl25_92 ),
inference(forward_demodulation,[],[f1172,f805]) ).
fof(f1172,plain,
( szDzozmdt0(sdtlpdtrp0(xC,sz00)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sz00),sdtlpdtrp0(xe,sz00)),sz00)
| ~ spl25_50
| ~ spl25_92 ),
inference(backward_demodulation,[],[f854,f1154]) ).
fof(f1771,plain,
( ~ spl25_11
| spl25_92
| spl25_157 ),
inference(avatar_split_clause,[],[f1770,f1710,f1152,f624]) ).
fof(f624,plain,
( spl25_11
<=> aElementOf0(xk,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_11])]) ).
fof(f1770,plain,
( sz00 = xk
| ~ aElementOf0(xk,szNzAzT0)
| spl25_157 ),
inference(resolution,[],[f1712,f347]) ).
fof(f1769,plain,
( spl25_170
| ~ spl25_157
| ~ spl25_91 ),
inference(avatar_split_clause,[],[f1697,f1148,f1710,f1766]) ).
fof(f1148,plain,
( spl25_91
<=> xk = szszuzczcdt0(sK1(xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_91])]) ).
fof(f1697,plain,
( ~ aElementOf0(sK1(xk),szNzAzT0)
| sdtlseqdt0(sK1(xk),xk)
| ~ spl25_91 ),
inference(superposition,[],[f383,f1150]) ).
fof(f1150,plain,
( xk = szszuzczcdt0(sK1(xk))
| ~ spl25_91 ),
inference(avatar_component_clause,[],[f1148]) ).
fof(f1764,plain,
( ~ spl25_157
| spl25_169
| ~ spl25_91 ),
inference(avatar_split_clause,[],[f1702,f1148,f1762,f1710]) ).
fof(f1762,plain,
( spl25_169
<=> ! [X4] :
( ~ aElementOf0(X4,szNzAzT0)
| sdtlseqdt0(xk,X4)
| sdtlseqdt0(X4,sK1(xk)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_169])]) ).
fof(f1702,plain,
( ! [X4] :
( ~ aElementOf0(X4,szNzAzT0)
| sdtlseqdt0(X4,sK1(xk))
| sdtlseqdt0(xk,X4)
| ~ aElementOf0(sK1(xk),szNzAzT0) )
| ~ spl25_91 ),
inference(superposition,[],[f474,f1150]) ).
fof(f1760,plain,
( ~ spl25_157
| spl25_168
| ~ spl25_91 ),
inference(avatar_split_clause,[],[f1698,f1148,f1758,f1710]) ).
fof(f1758,plain,
( spl25_168
<=> ! [X0] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),xk)
| sdtlseqdt0(X0,sK1(xk))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_168])]) ).
fof(f1698,plain,
( ! [X0] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),xk)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(sK1(xk),szNzAzT0)
| sdtlseqdt0(X0,sK1(xk)) )
| ~ spl25_91 ),
inference(superposition,[],[f420,f1150]) ).
fof(f1756,plain,
( ~ spl25_157
| spl25_166
| spl25_167
| ~ spl25_91 ),
inference(avatar_split_clause,[],[f1708,f1148,f1754,f1750,f1710]) ).
fof(f1754,plain,
( spl25_167
<=> ! [X8] :
( ~ aSet0(X8)
| ~ aElementOf0(X8,slbdtsldtrb0(sdtlpdtrp0(xN,xk),xk)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_167])]) ).
fof(f1708,plain,
( ! [X8] :
( ~ aSet0(X8)
| sdtlpdtrp0(xd,sK1(xk)) = sK19(sK1(xk))
| ~ aElementOf0(sK1(xk),szNzAzT0)
| ~ aElementOf0(X8,slbdtsldtrb0(sdtlpdtrp0(xN,xk),xk)) )
| ~ spl25_91 ),
inference(superposition,[],[f733,f1150]) ).
fof(f1748,plain,
( spl25_165
| ~ spl25_157
| ~ spl25_91 ),
inference(avatar_split_clause,[],[f1699,f1148,f1710,f1746]) ).
fof(f1746,plain,
( spl25_165
<=> ! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(xk,szszuzczcdt0(X1))
| sdtlseqdt0(sK1(xk),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_165])]) ).
fof(f1699,plain,
( ! [X1] :
( ~ aElementOf0(sK1(xk),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(sK1(xk),X1)
| ~ sdtlseqdt0(xk,szszuzczcdt0(X1)) )
| ~ spl25_91 ),
inference(superposition,[],[f420,f1150]) ).
fof(f1744,plain,
( ~ spl25_157
| spl25_164
| ~ spl25_91 ),
inference(avatar_split_clause,[],[f1704,f1148,f1741,f1710]) ).
fof(f1704,plain,
( iLess0(sK1(xk),xk)
| ~ aElementOf0(sK1(xk),szNzAzT0)
| ~ spl25_91 ),
inference(superposition,[],[f483,f1150]) ).
fof(f1739,plain,
( spl25_163
| ~ spl25_157
| ~ spl25_91 ),
inference(avatar_split_clause,[],[f1705,f1148,f1710,f1737]) ).
fof(f1737,plain,
( spl25_163
<=> ! [X5] :
( ~ aSet0(X5)
| ~ aElementOf0(X5,slbdtsldtrb0(sdtlpdtrp0(xN,xk),xk))
| sdtlpdtrp0(sdtlpdtrp0(xC,sK1(xk)),X5) = sK19(sK1(xk)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_163])]) ).
fof(f1705,plain,
( ! [X5] :
( ~ aElementOf0(sK1(xk),szNzAzT0)
| ~ aSet0(X5)
| sdtlpdtrp0(sdtlpdtrp0(xC,sK1(xk)),X5) = sK19(sK1(xk))
| ~ aElementOf0(X5,slbdtsldtrb0(sdtlpdtrp0(xN,xk),xk)) )
| ~ spl25_91 ),
inference(superposition,[],[f505,f1150]) ).
fof(f1735,plain,
( ~ spl25_162
| ~ spl25_157
| ~ spl25_91 ),
inference(avatar_split_clause,[],[f1696,f1148,f1710,f1732]) ).
fof(f1696,plain,
( ~ aElementOf0(sK1(xk),szNzAzT0)
| xk != sK1(xk)
| ~ spl25_91 ),
inference(superposition,[],[f379,f1150]) ).
fof(f1730,plain,
( ~ spl25_157
| spl25_161
| ~ spl25_91 ),
inference(avatar_split_clause,[],[f1701,f1148,f1728,f1710]) ).
fof(f1728,plain,
( spl25_161
<=> ! [X3] :
( ~ sdtlseqdt0(sK1(xk),X3)
| ~ aElementOf0(X3,szNzAzT0)
| sdtlseqdt0(xk,szszuzczcdt0(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_161])]) ).
fof(f1701,plain,
( ! [X3] :
( ~ sdtlseqdt0(sK1(xk),X3)
| sdtlseqdt0(xk,szszuzczcdt0(X3))
| ~ aElementOf0(sK1(xk),szNzAzT0)
| ~ aElementOf0(X3,szNzAzT0) )
| ~ spl25_91 ),
inference(superposition,[],[f421,f1150]) ).
fof(f1726,plain,
( ~ spl25_157
| spl25_160
| ~ spl25_91 ),
inference(avatar_split_clause,[],[f1707,f1148,f1723,f1710]) ).
fof(f1723,plain,
( spl25_160
<=> ! [X6] :
( xk != szszuzczcdt0(X6)
| ~ aElementOf0(X6,szNzAzT0)
| sK1(xk) = X6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_160])]) ).
fof(f1707,plain,
( ! [X7] :
( xk != szszuzczcdt0(X7)
| sK1(xk) = X7
| ~ aElementOf0(X7,szNzAzT0)
| ~ aElementOf0(sK1(xk),szNzAzT0) )
| ~ spl25_91 ),
inference(superposition,[],[f514,f1150]) ).
fof(f1725,plain,
( spl25_160
| ~ spl25_157
| ~ spl25_91 ),
inference(avatar_split_clause,[],[f1706,f1148,f1710,f1723]) ).
fof(f1706,plain,
( ! [X6] :
( ~ aElementOf0(sK1(xk),szNzAzT0)
| xk != szszuzczcdt0(X6)
| sK1(xk) = X6
| ~ aElementOf0(X6,szNzAzT0) )
| ~ spl25_91 ),
inference(superposition,[],[f514,f1150]) ).
fof(f1721,plain,
( ~ spl25_159
| ~ spl25_157
| ~ spl25_91 ),
inference(avatar_split_clause,[],[f1703,f1148,f1710,f1718]) ).
fof(f1718,plain,
( spl25_159
<=> sdtlseqdt0(xk,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_159])]) ).
fof(f1703,plain,
( ~ aElementOf0(sK1(xk),szNzAzT0)
| ~ sdtlseqdt0(xk,sz00)
| ~ spl25_91 ),
inference(superposition,[],[f476,f1150]) ).
fof(f1716,plain,
( ~ spl25_157
| spl25_158
| ~ spl25_91 ),
inference(avatar_split_clause,[],[f1700,f1148,f1714,f1710]) ).
fof(f1714,plain,
( spl25_158
<=> ! [X2] :
( sdtlseqdt0(szszuzczcdt0(X2),xk)
| ~ sdtlseqdt0(X2,sK1(xk))
| ~ aElementOf0(X2,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_158])]) ).
fof(f1700,plain,
( ! [X2] :
( sdtlseqdt0(szszuzczcdt0(X2),xk)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(sK1(xk),szNzAzT0)
| ~ sdtlseqdt0(X2,sK1(xk)) )
| ~ spl25_91 ),
inference(superposition,[],[f421,f1150]) ).
fof(f1675,plain,
( spl25_156
| ~ spl25_86 ),
inference(avatar_split_clause,[],[f1649,f1115,f1672]) ).
fof(f1672,plain,
( spl25_156
<=> szmzizndt0(sdtlpdtrp0(xN,szmzizndt0(szNzAzT0))) = sdtlpdtrp0(xe,szmzizndt0(szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_156])]) ).
fof(f1649,plain,
( szmzizndt0(sdtlpdtrp0(xN,szmzizndt0(szNzAzT0))) = sdtlpdtrp0(xe,szmzizndt0(szNzAzT0))
| ~ spl25_86 ),
inference(resolution,[],[f1117,f357]) ).
fof(f1670,plain,
( spl25_155
| ~ spl25_86 ),
inference(avatar_split_clause,[],[f1647,f1115,f1667]) ).
fof(f1647,plain,
( slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,szmzizndt0(szNzAzT0)),sdtlpdtrp0(xe,szmzizndt0(szNzAzT0))),xk) = szDzozmdt0(sdtlpdtrp0(xC,szmzizndt0(szNzAzT0)))
| ~ spl25_86 ),
inference(resolution,[],[f1117,f734]) ).
fof(f1665,plain,
( spl25_153
| spl25_154
| ~ spl25_86 ),
inference(avatar_split_clause,[],[f1648,f1115,f1662,f1658]) ).
fof(f1658,plain,
( spl25_153
<=> szmzizndt0(szNzAzT0) = szszuzczcdt0(sK1(szmzizndt0(szNzAzT0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_153])]) ).
fof(f1648,plain,
( sz00 = szmzizndt0(szNzAzT0)
| szmzizndt0(szNzAzT0) = szszuzczcdt0(sK1(szmzizndt0(szNzAzT0)))
| ~ spl25_86 ),
inference(resolution,[],[f1117,f348]) ).
fof(f1656,plain,
( ~ spl25_14
| spl25_152
| ~ spl25_86 ),
inference(avatar_split_clause,[],[f1650,f1115,f1653,f639]) ).
fof(f1653,plain,
( spl25_152
<=> szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,szmzizndt0(szNzAzT0)),szmzizndt0(szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_152])]) ).
fof(f1650,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,szmzizndt0(szNzAzT0)),szmzizndt0(szNzAzT0))
| ~ aSet0(szNzAzT0)
| ~ spl25_86 ),
inference(resolution,[],[f1117,f410]) ).
fof(f1621,plain,
( ~ spl25_19
| spl25_151
| ~ spl25_78
| ~ spl25_145 ),
inference(avatar_split_clause,[],[f1616,f1579,f1060,f1618,f664]) ).
fof(f1618,plain,
( spl25_151
<=> aElement0(szDzizrdt0(xc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_151])]) ).
fof(f1579,plain,
( spl25_145
<=> isCountable0(szDzozmdt0(xc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_145])]) ).
fof(f1616,plain,
( ~ isFinite0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
| aElement0(szDzizrdt0(xc))
| ~ aFunction0(xc)
| ~ spl25_145 ),
inference(resolution,[],[f1581,f427]) ).
fof(f427,plain,
! [X0] :
( ~ isCountable0(szDzozmdt0(X0))
| ~ isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| aElement0(szDzizrdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f176]) ).
fof(f176,plain,
! [X0] :
( ( isCountable0(sdtlbdtrb0(X0,szDzizrdt0(X0)))
& aElement0(szDzizrdt0(X0)) )
| ~ isCountable0(szDzozmdt0(X0))
| ~ aFunction0(X0)
| ~ isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0))) ),
inference(flattening,[],[f175]) ).
fof(f175,plain,
! [X0] :
( ( isCountable0(sdtlbdtrb0(X0,szDzizrdt0(X0)))
& aElement0(szDzizrdt0(X0)) )
| ~ isCountable0(szDzozmdt0(X0))
| ~ isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f72]) ).
fof(f72,axiom,
! [X0] :
( aFunction0(X0)
=> ( ( isCountable0(szDzozmdt0(X0))
& isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0))) )
=> ( isCountable0(sdtlbdtrb0(X0,szDzizrdt0(X0)))
& aElement0(szDzizrdt0(X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDirichlet) ).
fof(f1581,plain,
( isCountable0(szDzozmdt0(xc))
| ~ spl25_145 ),
inference(avatar_component_clause,[],[f1579]) ).
fof(f1615,plain,
( ~ spl25_11
| spl25_150
| ~ spl25_26 ),
inference(avatar_split_clause,[],[f1608,f703,f1612,f624]) ).
fof(f1608,plain,
( ! [X0] :
( xk = X0
| szszuzczcdt0(X0) != xK
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(xk,szNzAzT0) )
| ~ spl25_26 ),
inference(superposition,[],[f514,f705]) ).
fof(f1614,plain,
( ~ spl25_11
| spl25_150
| ~ spl25_26 ),
inference(avatar_split_clause,[],[f1607,f703,f1612,f624]) ).
fof(f1607,plain,
( ! [X0] :
( xk = X0
| szszuzczcdt0(X0) != xK
| ~ aElementOf0(xk,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl25_26 ),
inference(superposition,[],[f514,f705]) ).
fof(f1606,plain,
( ~ spl25_33
| spl25_149
| ~ spl25_13 ),
inference(avatar_split_clause,[],[f1589,f634,f1604,f741]) ).
fof(f1589,plain,
( ! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| aElementOf0(sdtlpdtrp0(xe,X2),sdtlcdtrc0(xe,szNzAzT0))
| ~ aFunction0(xe) )
| ~ spl25_13 ),
inference(superposition,[],[f478,f636]) ).
fof(f1602,plain,
( ~ spl25_31
| spl25_148
| ~ spl25_17 ),
inference(avatar_split_clause,[],[f1588,f654,f1600,f729]) ).
fof(f1588,plain,
( ! [X1] :
( aElementOf0(sdtlpdtrp0(xC,X1),sdtlcdtrc0(xC,szNzAzT0))
| ~ aFunction0(xC)
| ~ aElementOf0(X1,szNzAzT0) )
| ~ spl25_17 ),
inference(superposition,[],[f478,f656]) ).
fof(f1598,plain,
( spl25_147
| ~ spl25_28
| ~ spl25_15 ),
inference(avatar_split_clause,[],[f1590,f644,f713,f1596]) ).
fof(f1590,plain,
( ! [X3] :
( ~ aFunction0(xd)
| ~ aElementOf0(X3,szNzAzT0)
| aElementOf0(sdtlpdtrp0(xd,X3),sdtlcdtrc0(xd,szNzAzT0)) )
| ~ spl25_15 ),
inference(superposition,[],[f478,f646]) ).
fof(f1594,plain,
( ~ spl25_24
| spl25_146
| ~ spl25_3 ),
inference(avatar_split_clause,[],[f1587,f585,f1592,f693]) ).
fof(f1587,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ aFunction0(xN)
| aElementOf0(sdtlpdtrp0(xN,X0),sdtlcdtrc0(xN,szNzAzT0)) )
| ~ spl25_3 ),
inference(superposition,[],[f478,f587]) ).
fof(f1582,plain,
( spl25_145
| ~ spl25_29
| spl25_1
| ~ spl25_5
| ~ spl25_74
| ~ spl25_9 ),
inference(avatar_split_clause,[],[f1575,f614,f1033,f595,f575,f718,f1579]) ).
fof(f1575,plain,
( ~ aSet0(xS)
| ~ isCountable0(xS)
| sz00 = xK
| ~ aElementOf0(xK,szNzAzT0)
| isCountable0(szDzozmdt0(xc))
| ~ spl25_9 ),
inference(superposition,[],[f437,f616]) ).
fof(f437,plain,
! [X0,X1] :
( isCountable0(slbdtsldtrb0(X0,X1))
| sz00 = X1
| ~ isCountable0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f241]) ).
fof(f241,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( isCountable0(slbdtsldtrb0(X0,X1))
| sz00 = X1
| ~ aElementOf0(X1,szNzAzT0) )
| ~ isCountable0(X0) ),
inference(flattening,[],[f240]) ).
fof(f240,plain,
! [X0] :
( ! [X1] :
( isCountable0(slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0)
| sz00 = X1 )
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f60]) ).
fof(f60,axiom,
! [X0] :
( ( isCountable0(X0)
& aSet0(X0) )
=> ! [X1] :
( ( aElementOf0(X1,szNzAzT0)
& sz00 != X1 )
=> isCountable0(slbdtsldtrb0(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSelCSet) ).
fof(f1574,plain,
( ~ spl25_11
| spl25_144
| ~ spl25_26 ),
inference(avatar_split_clause,[],[f1565,f703,f1572,f624]) ).
fof(f1565,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xk)
| sdtlseqdt0(szszuzczcdt0(X0),xK)
| ~ aElementOf0(xk,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl25_26 ),
inference(superposition,[],[f421,f705]) ).
fof(f1570,plain,
( spl25_143
| ~ spl25_11
| ~ spl25_26 ),
inference(avatar_split_clause,[],[f1564,f703,f624,f1568]) ).
fof(f1564,plain,
( ! [X0] :
( ~ aElementOf0(xk,szNzAzT0)
| ~ sdtlseqdt0(xk,X0)
| sdtlseqdt0(xK,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl25_26 ),
inference(superposition,[],[f421,f705]) ).
fof(f1562,plain,
( ~ spl25_11
| spl25_142
| ~ spl25_26 ),
inference(avatar_split_clause,[],[f1550,f703,f1560,f624]) ).
fof(f1560,plain,
( spl25_142
<=> ! [X0] :
( sdtlseqdt0(xk,X0)
| ~ sdtlseqdt0(xK,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_142])]) ).
fof(f1550,plain,
( ! [X0] :
( sdtlseqdt0(xk,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(xK,szszuzczcdt0(X0))
| ~ aElementOf0(xk,szNzAzT0) )
| ~ spl25_26 ),
inference(superposition,[],[f420,f705]) ).
fof(f1558,plain,
( ~ spl25_11
| spl25_141
| ~ spl25_26 ),
inference(avatar_split_clause,[],[f1551,f703,f1556,f624]) ).
fof(f1551,plain,
( ! [X0] :
( sdtlseqdt0(X0,xk)
| ~ aElementOf0(xk,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X0),xK) )
| ~ spl25_26 ),
inference(superposition,[],[f420,f705]) ).
fof(f1545,plain,
( spl25_138
| ~ spl25_139
| ~ spl25_140
| ~ spl25_11
| ~ spl25_52 ),
inference(avatar_split_clause,[],[f1524,f864,f624,f1542,f1538,f1534]) ).
fof(f1534,plain,
( spl25_138
<=> isFinite0(szDzozmdt0(sdtlpdtrp0(xC,xK))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_138])]) ).
fof(f1524,plain,
( ~ aElementOf0(xk,szNzAzT0)
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,xK),sdtlpdtrp0(xe,xK)))
| ~ isFinite0(sdtmndt0(sdtlpdtrp0(xN,xK),sdtlpdtrp0(xe,xK)))
| isFinite0(szDzozmdt0(sdtlpdtrp0(xC,xK)))
| ~ spl25_52 ),
inference(superposition,[],[f365,f866]) ).
fof(f365,plain,
! [X0,X1] :
( isFinite0(slbdtsldtrb0(X0,X1))
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ isFinite0(X0) ),
inference(cnf_transformation,[],[f209]) ).
fof(f209,plain,
! [X0] :
( ! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| isFinite0(slbdtsldtrb0(X0,X1)) )
| ~ aSet0(X0)
| ~ isFinite0(X0) ),
inference(flattening,[],[f208]) ).
fof(f208,plain,
! [X0] :
( ! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| isFinite0(slbdtsldtrb0(X0,X1)) )
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,axiom,
! [X0] :
( ( isFinite0(X0)
& aSet0(X0) )
=> ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> isFinite0(slbdtsldtrb0(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSelFSet) ).
fof(f1532,plain,
( ~ spl25_136
| spl25_137
| ~ spl25_52 ),
inference(avatar_split_clause,[],[f1523,f864,f1530,f1526]) ).
fof(f1523,plain,
( ! [X0,X1] :
( aElementOf0(X0,szDzozmdt0(sdtlpdtrp0(xC,X1)))
| ~ aElementOf0(X0,szDzozmdt0(sdtlpdtrp0(xC,xK)))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSubsetOf0(sdtmndt0(sdtlpdtrp0(xN,xK),sdtlpdtrp0(xe,xK)),sdtmndt0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xe,X1)))
| ~ isCountable0(sdtmndt0(sdtlpdtrp0(xN,xK),sdtlpdtrp0(xe,xK)))
| ~ aSet0(X0) )
| ~ spl25_52 ),
inference(superposition,[],[f1260,f866]) ).
fof(f1521,plain,
( spl25_133
| ~ spl25_134
| ~ spl25_135
| ~ spl25_11
| ~ spl25_50 ),
inference(avatar_split_clause,[],[f1500,f852,f624,f1518,f1514,f1510]) ).
fof(f1500,plain,
( ~ aElementOf0(xk,szNzAzT0)
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,xk),sdtlpdtrp0(xe,xk)))
| ~ isFinite0(sdtmndt0(sdtlpdtrp0(xN,xk),sdtlpdtrp0(xe,xk)))
| isFinite0(szDzozmdt0(sdtlpdtrp0(xC,xk)))
| ~ spl25_50 ),
inference(superposition,[],[f365,f854]) ).
fof(f1508,plain,
( ~ spl25_131
| spl25_132
| ~ spl25_50 ),
inference(avatar_split_clause,[],[f1499,f852,f1506,f1502]) ).
fof(f1506,plain,
( spl25_132
<=> ! [X0,X1] :
( ~ aSubsetOf0(sdtmndt0(sdtlpdtrp0(xN,xk),sdtlpdtrp0(xe,xk)),sdtmndt0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xe,X1)))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0)
| ~ aElementOf0(X0,szDzozmdt0(sdtlpdtrp0(xC,xk)))
| aElementOf0(X0,szDzozmdt0(sdtlpdtrp0(xC,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_132])]) ).
fof(f1499,plain,
( ! [X0,X1] :
( ~ aSubsetOf0(sdtmndt0(sdtlpdtrp0(xN,xk),sdtlpdtrp0(xe,xk)),sdtmndt0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xe,X1)))
| aElementOf0(X0,szDzozmdt0(sdtlpdtrp0(xC,X1)))
| ~ aElementOf0(X0,szDzozmdt0(sdtlpdtrp0(xC,xk)))
| ~ isCountable0(sdtmndt0(sdtlpdtrp0(xN,xk),sdtlpdtrp0(xe,xk)))
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) )
| ~ spl25_50 ),
inference(superposition,[],[f1260,f854]) ).
fof(f1498,plain,
( spl25_128
| ~ spl25_129
| spl25_130
| ~ spl25_40 ),
inference(avatar_split_clause,[],[f1481,f797,f1495,f1491,f1488]) ).
fof(f1481,plain,
( ! [X0] :
( slcrc0 = sdtlpdtrp0(xN,xK)
| ~ aSubsetOf0(sdtlpdtrp0(xN,xK),szNzAzT0)
| sdtlseqdt0(sdtlpdtrp0(xe,xK),X0)
| ~ aElementOf0(X0,sdtlpdtrp0(xN,xK)) )
| ~ spl25_40 ),
inference(superposition,[],[f546,f799]) ).
fof(f1486,plain,
( spl25_87
| spl25_127
| ~ spl25_48
| ~ spl25_39 ),
inference(avatar_split_clause,[],[f1482,f792,f840,f1484,f1121]) ).
fof(f1121,plain,
( spl25_87
<=> slcrc0 = sdtlpdtrp0(xN,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_87])]) ).
fof(f1484,plain,
( spl25_127
<=> ! [X1] :
( sdtlseqdt0(sdtlpdtrp0(xe,xk),X1)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,xk)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_127])]) ).
fof(f840,plain,
( spl25_48
<=> aSubsetOf0(sdtlpdtrp0(xN,xk),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_48])]) ).
fof(f792,plain,
( spl25_39
<=> szmzizndt0(sdtlpdtrp0(xN,xk)) = sdtlpdtrp0(xe,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_39])]) ).
fof(f1482,plain,
( ! [X1] :
( ~ aSubsetOf0(sdtlpdtrp0(xN,xk),szNzAzT0)
| sdtlseqdt0(sdtlpdtrp0(xe,xk),X1)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,xk))
| slcrc0 = sdtlpdtrp0(xN,xk) )
| ~ spl25_39 ),
inference(superposition,[],[f546,f794]) ).
fof(f794,plain,
( szmzizndt0(sdtlpdtrp0(xN,xk)) = sdtlpdtrp0(xe,xk)
| ~ spl25_39 ),
inference(avatar_component_clause,[],[f792]) ).
fof(f1480,plain,
( ~ spl25_11
| spl25_126
| ~ spl25_26 ),
inference(avatar_split_clause,[],[f1475,f703,f1478,f624]) ).
fof(f1475,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,xk)
| ~ aElementOf0(xk,szNzAzT0)
| sdtlseqdt0(xK,X0) )
| ~ spl25_26 ),
inference(superposition,[],[f474,f705]) ).
fof(f1473,plain,
( spl25_124
| ~ spl25_33
| ~ spl25_125
| ~ spl25_6
| ~ spl25_13 ),
inference(avatar_split_clause,[],[f1440,f634,f600,f1470,f741,f1466]) ).
fof(f1466,plain,
( spl25_124
<=> aElement0(szDzizrdt0(xe)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_124])]) ).
fof(f1470,plain,
( spl25_125
<=> isFinite0(sdtlcdtrc0(xe,szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_125])]) ).
fof(f1440,plain,
( ~ isCountable0(szNzAzT0)
| ~ isFinite0(sdtlcdtrc0(xe,szNzAzT0))
| ~ aFunction0(xe)
| aElement0(szDzizrdt0(xe))
| ~ spl25_13 ),
inference(superposition,[],[f427,f636]) ).
fof(f1464,plain,
( ~ spl25_122
| ~ spl25_6
| ~ spl25_24
| spl25_123
| ~ spl25_3 ),
inference(avatar_split_clause,[],[f1438,f585,f1461,f693,f600,f1457]) ).
fof(f1457,plain,
( spl25_122
<=> isFinite0(sdtlcdtrc0(xN,szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_122])]) ).
fof(f1461,plain,
( spl25_123
<=> aElement0(szDzizrdt0(xN)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_123])]) ).
fof(f1438,plain,
( aElement0(szDzizrdt0(xN))
| ~ aFunction0(xN)
| ~ isCountable0(szNzAzT0)
| ~ isFinite0(sdtlcdtrc0(xN,szNzAzT0))
| ~ spl25_3 ),
inference(superposition,[],[f427,f587]) ).
fof(f1455,plain,
( spl25_121
| ~ spl25_77
| ~ spl25_28
| ~ spl25_6
| ~ spl25_15 ),
inference(avatar_split_clause,[],[f1441,f644,f600,f713,f1055,f1452]) ).
fof(f1441,plain,
( ~ isCountable0(szNzAzT0)
| ~ aFunction0(xd)
| ~ isFinite0(sdtlcdtrc0(xd,szNzAzT0))
| aElement0(szDzizrdt0(xd))
| ~ spl25_15 ),
inference(superposition,[],[f427,f646]) ).
fof(f1450,plain,
( spl25_119
| ~ spl25_6
| ~ spl25_120
| ~ spl25_31
| ~ spl25_17 ),
inference(avatar_split_clause,[],[f1439,f654,f729,f1447,f600,f1443]) ).
fof(f1443,plain,
( spl25_119
<=> aElement0(szDzizrdt0(xC)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_119])]) ).
fof(f1447,plain,
( spl25_120
<=> isFinite0(sdtlcdtrc0(xC,szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_120])]) ).
fof(f1439,plain,
( ~ aFunction0(xC)
| ~ isFinite0(sdtlcdtrc0(xC,szNzAzT0))
| ~ isCountable0(szNzAzT0)
| aElement0(szDzizrdt0(xC))
| ~ spl25_17 ),
inference(superposition,[],[f427,f656]) ).
fof(f1411,plain,
( ~ spl25_114
| ~ spl25_116
| spl25_118
| ~ spl25_106 ),
inference(avatar_split_clause,[],[f1386,f1350,f1409,f1400,f1392]) ).
fof(f1386,plain,
( ! [X0] :
( aElement0(X0)
| ~ aElementOf0(X0,xO)
| ~ aElement0(sK2)
| ~ aSet0(sdtmndt0(xO,sK2)) )
| ~ spl25_106 ),
inference(superposition,[],[f536,f1352]) ).
fof(f1407,plain,
( ~ spl25_114
| spl25_115
| ~ spl25_116
| ~ spl25_117
| ~ spl25_106 ),
inference(avatar_split_clause,[],[f1387,f1350,f1404,f1400,f1396,f1392]) ).
fof(f1396,plain,
( spl25_115
<=> isFinite0(xO) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_115])]) ).
fof(f1404,plain,
( spl25_117
<=> isFinite0(sdtmndt0(xO,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_117])]) ).
fof(f1387,plain,
( ~ isFinite0(sdtmndt0(xO,sK2))
| ~ aElement0(sK2)
| isFinite0(xO)
| ~ aSet0(sdtmndt0(xO,sK2))
| ~ spl25_106 ),
inference(superposition,[],[f525,f1352]) ).
fof(f1385,plain,
( ~ spl25_74
| spl25_113
| ~ spl25_83 ),
inference(avatar_split_clause,[],[f1332,f1101,f1382,f1033]) ).
fof(f1332,plain,
( xS = sdtpldt0(sdtmndt0(xS,szmzizndt0(xS)),szmzizndt0(xS))
| ~ aSet0(xS)
| ~ spl25_83 ),
inference(resolution,[],[f410,f1103]) ).
fof(f1380,plain,
( ~ spl25_14
| spl25_112
| ~ spl25_11 ),
inference(avatar_split_clause,[],[f1335,f624,f1377,f639]) ).
fof(f1377,plain,
( spl25_112
<=> szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,xk),xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_112])]) ).
fof(f1335,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,xk),xk)
| ~ aSet0(szNzAzT0)
| ~ spl25_11 ),
inference(resolution,[],[f410,f626]) ).
fof(f626,plain,
( aElementOf0(xk,szNzAzT0)
| ~ spl25_11 ),
inference(avatar_component_clause,[],[f624]) ).
fof(f1375,plain,
( spl25_111
| ~ spl25_34
| ~ spl25_20 ),
inference(avatar_split_clause,[],[f1333,f670,f746,f1372]) ).
fof(f1333,plain,
( ~ aSet0(xT)
| xT = sdtpldt0(sdtmndt0(xT,szDzizrdt0(xd)),szDzizrdt0(xd))
| ~ spl25_20 ),
inference(resolution,[],[f410,f672]) ).
fof(f1370,plain,
( ~ spl25_34
| spl25_110 ),
inference(avatar_split_clause,[],[f1339,f1368,f746]) ).
fof(f1339,plain,
! [X5] :
( xT = sdtpldt0(sdtmndt0(xT,sK19(X5)),sK19(X5))
| ~ aSet0(xT)
| ~ aElementOf0(X5,szNzAzT0) ),
inference(resolution,[],[f410,f506]) ).
fof(f1366,plain,
( ~ spl25_14
| spl25_109 ),
inference(avatar_split_clause,[],[f1336,f1364,f639]) ).
fof(f1336,plain,
! [X3] :
( ~ aElementOf0(X3,szNzAzT0)
| szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK1(X3)),sK1(X3))
| sz00 = X3
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f410,f347]) ).
fof(f1362,plain,
( ~ spl25_14
| spl25_108
| ~ spl25_2 ),
inference(avatar_split_clause,[],[f1330,f580,f1359,f639]) ).
fof(f1330,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sz00),sz00)
| ~ aSet0(szNzAzT0)
| ~ spl25_2 ),
inference(resolution,[],[f410,f582]) ).
fof(f1357,plain,
( ~ spl25_34
| spl25_107 ),
inference(avatar_split_clause,[],[f1338,f1355,f746]) ).
fof(f1338,plain,
! [X4] :
( xT = sdtpldt0(sdtmndt0(xT,sK14(X4)),sK14(X4))
| ~ aElementOf0(X4,szNzAzT0)
| ~ aSet0(xT) ),
inference(resolution,[],[f410,f479]) ).
fof(f1353,plain,
( spl25_106
| ~ spl25_18
| ~ spl25_4 ),
inference(avatar_split_clause,[],[f1337,f590,f659,f1350]) ).
fof(f1337,plain,
( ~ aSet0(xO)
| xO = sdtpldt0(sdtmndt0(xO,sK2),sK2)
| ~ spl25_4 ),
inference(resolution,[],[f410,f592]) ).
fof(f1348,plain,
( spl25_105
| ~ spl25_14
| ~ spl25_29 ),
inference(avatar_split_clause,[],[f1334,f718,f639,f1345]) ).
fof(f1334,plain,
( ~ aSet0(szNzAzT0)
| szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,xK),xK)
| ~ spl25_29 ),
inference(resolution,[],[f410,f720]) ).
fof(f1343,plain,
( spl25_104
| ~ spl25_14 ),
inference(avatar_split_clause,[],[f1331,f639,f1341]) ).
fof(f1331,plain,
! [X2] :
( ~ aSet0(szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,szszuzczcdt0(X2)),szszuzczcdt0(X2)) ),
inference(resolution,[],[f410,f346]) ).
fof(f1312,plain,
( ~ spl25_74
| ~ spl25_29
| ~ spl25_102
| spl25_103
| ~ spl25_9 ),
inference(avatar_split_clause,[],[f1303,f614,f1309,f1305,f718,f1033]) ).
fof(f1309,plain,
( spl25_103
<=> isFinite0(szDzozmdt0(xc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_103])]) ).
fof(f1303,plain,
( isFinite0(szDzozmdt0(xc))
| ~ isFinite0(xS)
| ~ aElementOf0(xK,szNzAzT0)
| ~ aSet0(xS)
| ~ spl25_9 ),
inference(superposition,[],[f365,f616]) ).
fof(f1295,plain,
( ~ spl25_29
| spl25_100 ),
inference(avatar_split_clause,[],[f1294,f1244,f718]) ).
fof(f1244,plain,
( spl25_100
<=> sdtlseqdt0(sz00,xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_100])]) ).
fof(f1294,plain,
( ~ aElementOf0(xK,szNzAzT0)
| spl25_100 ),
inference(resolution,[],[f1245,f355]) ).
fof(f1245,plain,
( ~ sdtlseqdt0(sz00,xK)
| spl25_100 ),
inference(avatar_component_clause,[],[f1244]) ).
fof(f1289,plain,
( ~ spl25_2
| spl25_90 ),
inference(avatar_split_clause,[],[f1287,f1137,f580]) ).
fof(f1137,plain,
( spl25_90
<=> sdtlseqdt0(sz00,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_90])]) ).
fof(f1287,plain,
( ~ aElementOf0(sz00,szNzAzT0)
| spl25_90 ),
inference(resolution,[],[f1139,f349]) ).
fof(f349,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f197]) ).
fof(f197,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessRefl) ).
fof(f1139,plain,
( ~ sdtlseqdt0(sz00,sz00)
| spl25_90 ),
inference(avatar_component_clause,[],[f1137]) ).
fof(f1288,plain,
( ~ spl25_2
| spl25_90 ),
inference(avatar_split_clause,[],[f1286,f1137,f580]) ).
fof(f1286,plain,
( ~ aElementOf0(sz00,szNzAzT0)
| spl25_90 ),
inference(resolution,[],[f1139,f355]) ).
fof(f1283,plain,
( ~ spl25_74
| spl25_89 ),
inference(avatar_split_clause,[],[f1282,f1133,f1033]) ).
fof(f1133,plain,
( spl25_89
<=> aSubsetOf0(xS,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_89])]) ).
fof(f1282,plain,
( ~ aSet0(xS)
| spl25_89 ),
inference(resolution,[],[f1134,f484]) ).
fof(f1134,plain,
( ~ aSubsetOf0(xS,xS)
| spl25_89 ),
inference(avatar_component_clause,[],[f1133]) ).
fof(f1257,plain,
( ~ spl25_101
| spl25_91
| ~ spl25_92 ),
inference(avatar_split_clause,[],[f1252,f1152,f1148,f1254]) ).
fof(f1254,plain,
( spl25_101
<=> sz00 = szszuzczcdt0(sK1(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_101])]) ).
fof(f1252,plain,
( sz00 != szszuzczcdt0(sK1(sz00))
| spl25_91
| ~ spl25_92 ),
inference(forward_demodulation,[],[f1149,f1154]) ).
fof(f1149,plain,
( xk != szszuzczcdt0(sK1(xk))
| spl25_91 ),
inference(avatar_component_clause,[],[f1148]) ).
fof(f1247,plain,
( spl25_100
| ~ spl25_60
| ~ spl25_92 ),
inference(avatar_split_clause,[],[f1179,f1152,f932,f1244]) ).
fof(f932,plain,
( spl25_60
<=> sdtlseqdt0(xk,xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_60])]) ).
fof(f1179,plain,
( sdtlseqdt0(sz00,xK)
| ~ spl25_60
| ~ spl25_92 ),
inference(backward_demodulation,[],[f934,f1154]) ).
fof(f934,plain,
( sdtlseqdt0(xk,xK)
| ~ spl25_60 ),
inference(avatar_component_clause,[],[f932]) ).
fof(f1241,plain,
( spl25_99
| ~ spl25_55
| ~ spl25_92 ),
inference(avatar_split_clause,[],[f1175,f1152,f888,f1238]) ).
fof(f1234,plain,
( spl25_98
| ~ spl25_52
| ~ spl25_92 ),
inference(avatar_split_clause,[],[f1174,f1152,f864,f1231]) ).
fof(f1227,plain,
( spl25_97
| ~ spl25_26
| ~ spl25_92 ),
inference(avatar_split_clause,[],[f1166,f1152,f703,f1224]) ).
fof(f1166,plain,
( xK = szszuzczcdt0(sz00)
| ~ spl25_26
| ~ spl25_92 ),
inference(backward_demodulation,[],[f705,f1154]) ).
fof(f1216,plain,
( spl25_96
| ~ spl25_62
| ~ spl25_92 ),
inference(avatar_split_clause,[],[f1180,f1152,f944,f1213]) ).
fof(f1209,plain,
( spl25_94
| ~ spl25_35
| ~ spl25_41
| ~ spl25_50
| ~ spl25_92 ),
inference(avatar_split_clause,[],[f1208,f1152,f852,f803,f751,f1196]) ).
fof(f1208,plain,
( slbdtsldtrb0(sdtmndt0(xS,szmzizndt0(xS)),sz00) = szDzozmdt0(sdtlpdtrp0(xC,sz00))
| ~ spl25_35
| ~ spl25_41
| ~ spl25_50
| ~ spl25_92 ),
inference(forward_demodulation,[],[f1207,f753]) ).
fof(f1207,plain,
( slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sz00),szmzizndt0(xS)),sz00) = szDzozmdt0(sdtlpdtrp0(xC,sz00))
| ~ spl25_41
| ~ spl25_50
| ~ spl25_92 ),
inference(forward_demodulation,[],[f1172,f805]) ).
fof(f1206,plain,
( ~ spl25_95
| spl25_87
| ~ spl25_92 ),
inference(avatar_split_clause,[],[f1190,f1152,f1121,f1203]) ).
fof(f1203,plain,
( spl25_95
<=> slcrc0 = sdtlpdtrp0(xN,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_95])]) ).
fof(f1190,plain,
( slcrc0 != sdtlpdtrp0(xN,sz00)
| spl25_87
| ~ spl25_92 ),
inference(backward_demodulation,[],[f1122,f1154]) ).
fof(f1122,plain,
( slcrc0 != sdtlpdtrp0(xN,xk)
| spl25_87 ),
inference(avatar_component_clause,[],[f1121]) ).
fof(f1199,plain,
( spl25_94
| ~ spl25_51
| ~ spl25_92 ),
inference(avatar_split_clause,[],[f1173,f1152,f859,f1196]) ).
fof(f1173,plain,
( slbdtsldtrb0(sdtmndt0(xS,szmzizndt0(xS)),sz00) = szDzozmdt0(sdtlpdtrp0(xC,sz00))
| ~ spl25_51
| ~ spl25_92 ),
inference(backward_demodulation,[],[f861,f1154]) ).
fof(f1160,plain,
( spl25_93
| spl25_1
| ~ spl25_29 ),
inference(avatar_split_clause,[],[f1144,f718,f575,f1157]) ).
fof(f1144,plain,
( sz00 = xK
| xK = szszuzczcdt0(sK1(xK))
| ~ spl25_29 ),
inference(resolution,[],[f348,f720]) ).
fof(f1155,plain,
( spl25_91
| spl25_92
| ~ spl25_11 ),
inference(avatar_split_clause,[],[f1145,f624,f1152,f1148]) ).
fof(f1145,plain,
( sz00 = xk
| xk = szszuzczcdt0(sK1(xk))
| ~ spl25_11 ),
inference(resolution,[],[f348,f626]) ).
fof(f1140,plain,
( spl25_89
| ~ spl25_90
| ~ spl25_2
| ~ spl25_35
| ~ spl25_45 ),
inference(avatar_split_clause,[],[f1131,f827,f751,f580,f1137,f1133]) ).
fof(f827,plain,
( spl25_45
<=> ! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),xS)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(sz00,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_45])]) ).
fof(f1131,plain,
( ~ aElementOf0(sz00,szNzAzT0)
| ~ sdtlseqdt0(sz00,sz00)
| aSubsetOf0(xS,xS)
| ~ spl25_35
| ~ spl25_45 ),
inference(superposition,[],[f828,f753]) ).
fof(f828,plain,
( ! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),xS)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(sz00,X0) )
| ~ spl25_45 ),
inference(avatar_component_clause,[],[f827]) ).
fof(f1128,plain,
( spl25_87
| spl25_88
| ~ spl25_39
| ~ spl25_48 ),
inference(avatar_split_clause,[],[f1119,f840,f792,f1125,f1121]) ).
fof(f1125,plain,
( spl25_88
<=> aElementOf0(sdtlpdtrp0(xe,xk),sdtlpdtrp0(xN,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_88])]) ).
fof(f1119,plain,
( aElementOf0(sdtlpdtrp0(xe,xk),sdtlpdtrp0(xN,xk))
| slcrc0 = sdtlpdtrp0(xN,xk)
| ~ spl25_39
| ~ spl25_48 ),
inference(forward_demodulation,[],[f1098,f794]) ).
fof(f1098,plain,
( slcrc0 = sdtlpdtrp0(xN,xk)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xk)),sdtlpdtrp0(xN,xk))
| ~ spl25_48 ),
inference(resolution,[],[f547,f841]) ).
fof(f841,plain,
( aSubsetOf0(sdtlpdtrp0(xN,xk),szNzAzT0)
| ~ spl25_48 ),
inference(avatar_component_clause,[],[f840]) ).
fof(f1118,plain,
( spl25_85
| ~ spl25_14
| spl25_86 ),
inference(avatar_split_clause,[],[f1096,f1115,f639,f1111]) ).
fof(f1096,plain,
( aElementOf0(szmzizndt0(szNzAzT0),szNzAzT0)
| ~ aSet0(szNzAzT0)
| slcrc0 = szNzAzT0 ),
inference(resolution,[],[f547,f484]) ).
fof(f1108,plain,
( spl25_83
| spl25_84
| ~ spl25_30 ),
inference(avatar_split_clause,[],[f1099,f724,f1105,f1101]) ).
fof(f1099,plain,
( slcrc0 = xS
| aElementOf0(szmzizndt0(xS),xS)
| ~ spl25_30 ),
inference(resolution,[],[f547,f726]) ).
fof(f1090,plain,
( spl25_82
| ~ spl25_72
| ~ spl25_78 ),
inference(avatar_split_clause,[],[f1080,f1060,f1015,f1088]) ).
fof(f1088,plain,
( spl25_82
<=> ! [X0] :
( ~ aSubsetOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| isFinite0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_82])]) ).
fof(f1080,plain,
( ! [X0] :
( ~ aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ~ aSubsetOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| isFinite0(X0) )
| ~ spl25_78 ),
inference(resolution,[],[f1062,f468]) ).
fof(f1086,plain,
( ~ spl25_72
| ~ spl25_81
| ~ spl25_78 ),
inference(avatar_split_clause,[],[f1081,f1060,f1083,f1015]) ).
fof(f1083,plain,
( spl25_81
<=> isCountable0(sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_81])]) ).
fof(f1081,plain,
( ~ isCountable0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ~ aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ~ spl25_78 ),
inference(resolution,[],[f1062,f342]) ).
fof(f1074,plain,
( spl25_80
| ~ spl25_71
| ~ spl25_77 ),
inference(avatar_split_clause,[],[f1064,f1055,f1010,f1072]) ).
fof(f1072,plain,
( spl25_80
<=> ! [X0] :
( ~ aSubsetOf0(X0,sdtlcdtrc0(xd,szNzAzT0))
| isFinite0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_80])]) ).
fof(f1064,plain,
( ! [X0] :
( ~ aSet0(sdtlcdtrc0(xd,szNzAzT0))
| ~ aSubsetOf0(X0,sdtlcdtrc0(xd,szNzAzT0))
| isFinite0(X0) )
| ~ spl25_77 ),
inference(resolution,[],[f1057,f468]) ).
fof(f1070,plain,
( ~ spl25_79
| ~ spl25_71
| ~ spl25_77 ),
inference(avatar_split_clause,[],[f1065,f1055,f1010,f1067]) ).
fof(f1065,plain,
( ~ aSet0(sdtlcdtrc0(xd,szNzAzT0))
| ~ isCountable0(sdtlcdtrc0(xd,szNzAzT0))
| ~ spl25_77 ),
inference(resolution,[],[f1057,f342]) ).
fof(f1063,plain,
( spl25_78
| ~ spl25_27
| ~ spl25_75 ),
inference(avatar_split_clause,[],[f1052,f1041,f708,f1060]) ).
fof(f1041,plain,
( spl25_75
<=> ! [X0] :
( ~ aSubsetOf0(X0,xT)
| isFinite0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_75])]) ).
fof(f1052,plain,
( isFinite0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ~ spl25_27
| ~ spl25_75 ),
inference(resolution,[],[f1042,f710]) ).
fof(f1042,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,xT)
| isFinite0(X0) )
| ~ spl25_75 ),
inference(avatar_component_clause,[],[f1041]) ).
fof(f1058,plain,
( spl25_77
| ~ spl25_36
| ~ spl25_75 ),
inference(avatar_split_clause,[],[f1051,f1041,f762,f1055]) ).
fof(f1051,plain,
( isFinite0(sdtlcdtrc0(xd,szNzAzT0))
| ~ spl25_36
| ~ spl25_75 ),
inference(resolution,[],[f1042,f764]) ).
fof(f1047,plain,
( ~ spl25_7
| spl25_76
| ~ spl25_25 ),
inference(avatar_split_clause,[],[f1038,f698,f1045,f605]) ).
fof(f1045,plain,
( spl25_76
<=> ! [X1] :
( ~ aSubsetOf0(X1,slcrc0)
| isFinite0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_76])]) ).
fof(f1038,plain,
( ! [X1] :
( ~ aSubsetOf0(X1,slcrc0)
| ~ aSet0(slcrc0)
| isFinite0(X1) )
| ~ spl25_25 ),
inference(resolution,[],[f468,f700]) ).
fof(f700,plain,
( isFinite0(slcrc0)
| ~ spl25_25 ),
inference(avatar_component_clause,[],[f698]) ).
fof(f1043,plain,
( ~ spl25_34
| spl25_75
| ~ spl25_12 ),
inference(avatar_split_clause,[],[f1037,f629,f1041,f746]) ).
fof(f1037,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,xT)
| ~ aSet0(xT)
| isFinite0(X0) )
| ~ spl25_12 ),
inference(resolution,[],[f468,f631]) ).
fof(f1036,plain,
( spl25_74
| ~ spl25_14
| ~ spl25_30 ),
inference(avatar_split_clause,[],[f1026,f724,f639,f1033]) ).
fof(f1026,plain,
( aSet0(xS)
| ~ spl25_14
| ~ spl25_30 ),
inference(resolution,[],[f949,f726]) ).
fof(f1031,plain,
( spl25_73
| ~ spl25_14
| ~ spl25_48 ),
inference(avatar_split_clause,[],[f1025,f840,f639,f1028]) ).
fof(f1028,plain,
( spl25_73
<=> aSet0(sdtlpdtrp0(xN,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_73])]) ).
fof(f1025,plain,
( aSet0(sdtlpdtrp0(xN,xk))
| ~ spl25_14
| ~ spl25_48 ),
inference(resolution,[],[f949,f841]) ).
fof(f1018,plain,
( spl25_72
| ~ spl25_27
| ~ spl25_34 ),
inference(avatar_split_clause,[],[f1007,f746,f708,f1015]) ).
fof(f1007,plain,
( aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ~ spl25_27
| ~ spl25_34 ),
inference(resolution,[],[f952,f710]) ).
fof(f952,plain,
( ! [X6] :
( ~ aSubsetOf0(X6,xT)
| aSet0(X6) )
| ~ spl25_34 ),
inference(resolution,[],[f486,f748]) ).
fof(f1013,plain,
( spl25_71
| ~ spl25_34
| ~ spl25_36 ),
inference(avatar_split_clause,[],[f1006,f762,f746,f1010]) ).
fof(f1006,plain,
( aSet0(sdtlcdtrc0(xd,szNzAzT0))
| ~ spl25_34
| ~ spl25_36 ),
inference(resolution,[],[f952,f764]) ).
fof(f1004,plain,
( ~ spl25_11
| spl25_70
| ~ spl25_62 ),
inference(avatar_split_clause,[],[f985,f944,f1002,f624]) ).
fof(f1002,plain,
( spl25_70
<=> ! [X2,X0,X1] :
( ~ aSubsetOf0(sdtlcdtrc0(X0,szDzozmdt0(X0)),xT)
| ~ aElementOf0(X1,slbdtsldtrb0(sK24(xk,X2,X0),xk))
| ~ aFunction0(X0)
| szDzozmdt0(X0) != slbdtsldtrb0(X2,xk)
| ~ isCountable0(X2)
| ~ aSubsetOf0(X2,szNzAzT0)
| sdtlpdtrp0(X0,X1) = sK23(xk,X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_70])]) ).
fof(f985,plain,
( ! [X2,X0,X1] :
( ~ aSubsetOf0(sdtlcdtrc0(X0,szDzozmdt0(X0)),xT)
| sdtlpdtrp0(X0,X1) = sK23(xk,X2,X0)
| ~ aSubsetOf0(X2,szNzAzT0)
| ~ isCountable0(X2)
| szDzozmdt0(X0) != slbdtsldtrb0(X2,xk)
| ~ aFunction0(X0)
| ~ aElementOf0(X1,slbdtsldtrb0(sK24(xk,X2,X0),xk))
| ~ aElementOf0(xk,szNzAzT0) )
| ~ spl25_62 ),
inference(resolution,[],[f946,f518]) ).
fof(f1000,plain,
( ~ spl25_11
| spl25_69
| ~ spl25_62 ),
inference(avatar_split_clause,[],[f987,f944,f998,f624]) ).
fof(f998,plain,
( spl25_69
<=> ! [X6,X5] :
( ~ aSubsetOf0(X6,szNzAzT0)
| ~ aFunction0(X5)
| szDzozmdt0(X5) != slbdtsldtrb0(X6,xk)
| ~ isCountable0(X6)
| ~ aSubsetOf0(sdtlcdtrc0(X5,szDzozmdt0(X5)),xT)
| aSubsetOf0(sK24(xk,X6,X5),X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_69])]) ).
fof(f987,plain,
( ! [X6,X5] :
( ~ aSubsetOf0(X6,szNzAzT0)
| ~ aElementOf0(xk,szNzAzT0)
| aSubsetOf0(sK24(xk,X6,X5),X6)
| ~ aSubsetOf0(sdtlcdtrc0(X5,szDzozmdt0(X5)),xT)
| ~ isCountable0(X6)
| szDzozmdt0(X5) != slbdtsldtrb0(X6,xk)
| ~ aFunction0(X5) )
| ~ spl25_62 ),
inference(resolution,[],[f946,f517]) ).
fof(f996,plain,
( ~ spl25_11
| spl25_68
| ~ spl25_62 ),
inference(avatar_split_clause,[],[f988,f944,f994,f624]) ).
fof(f994,plain,
( spl25_68
<=> ! [X7,X8] :
( isCountable0(sK24(xk,X8,X7))
| ~ aSubsetOf0(sdtlcdtrc0(X7,szDzozmdt0(X7)),xT)
| szDzozmdt0(X7) != slbdtsldtrb0(X8,xk)
| ~ aSubsetOf0(X8,szNzAzT0)
| ~ aFunction0(X7)
| ~ isCountable0(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_68])]) ).
fof(f988,plain,
( ! [X8,X7] :
( isCountable0(sK24(xk,X8,X7))
| ~ isCountable0(X8)
| ~ aFunction0(X7)
| ~ aSubsetOf0(X8,szNzAzT0)
| szDzozmdt0(X7) != slbdtsldtrb0(X8,xk)
| ~ aElementOf0(xk,szNzAzT0)
| ~ aSubsetOf0(sdtlcdtrc0(X7,szDzozmdt0(X7)),xT) )
| ~ spl25_62 ),
inference(resolution,[],[f946,f519]) ).
fof(f992,plain,
( ~ spl25_11
| spl25_67
| ~ spl25_62 ),
inference(avatar_split_clause,[],[f986,f944,f990,f624]) ).
fof(f990,plain,
( spl25_67
<=> ! [X4,X3] :
( ~ aFunction0(X4)
| ~ aSubsetOf0(X3,szNzAzT0)
| ~ isCountable0(X3)
| szDzozmdt0(X4) != slbdtsldtrb0(X3,xk)
| aElementOf0(sK23(xk,X3,X4),xT)
| ~ aSubsetOf0(sdtlcdtrc0(X4,szDzozmdt0(X4)),xT) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_67])]) ).
fof(f986,plain,
( ! [X3,X4] :
( ~ aFunction0(X4)
| ~ aSubsetOf0(sdtlcdtrc0(X4,szDzozmdt0(X4)),xT)
| aElementOf0(sK23(xk,X3,X4),xT)
| szDzozmdt0(X4) != slbdtsldtrb0(X3,xk)
| ~ isCountable0(X3)
| ~ aElementOf0(xk,szNzAzT0)
| ~ aSubsetOf0(X3,szNzAzT0) )
| ~ spl25_62 ),
inference(resolution,[],[f946,f520]) ).
fof(f983,plain,
( spl25_66
| ~ spl25_29
| ~ spl25_40 ),
inference(avatar_split_clause,[],[f971,f797,f718,f980]) ).
fof(f971,plain,
( ~ aElementOf0(xK,szNzAzT0)
| aSubsetOf0(sK15(xK),sdtmndt0(sdtlpdtrp0(xN,xK),sdtlpdtrp0(xe,xK)))
| ~ spl25_40 ),
inference(superposition,[],[f482,f799]) ).
fof(f482,plain,
! [X0] :
( aSubsetOf0(sK15(X0),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f307]) ).
fof(f978,plain,
( ~ spl25_29
| spl25_65
| ~ spl25_40 ),
inference(avatar_split_clause,[],[f977,f797,f974,f718]) ).
fof(f977,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(xK,szNzAzT0)
| sdtlpdtrp0(xe,X0) != sdtlpdtrp0(xe,xK)
| xK = X0 )
| ~ spl25_40 ),
inference(forward_subsumption_demodulation,[],[f969,f357]) ).
fof(f969,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| xK = X0
| ~ aElementOf0(xK,szNzAzT0)
| szmzizndt0(sdtlpdtrp0(xN,X0)) != sdtlpdtrp0(xe,xK) )
| ~ spl25_40 ),
inference(superposition,[],[f455,f799]) ).
fof(f455,plain,
! [X0,X1] :
( szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0)
| X0 = X1
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f295]) ).
fof(f295,plain,
! [X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0)
| X0 = X1 ),
inference(rectify,[],[f199]) ).
fof(f199,plain,
! [X1,X0] :
( ~ aElementOf0(X1,szNzAzT0)
| szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X0,szNzAzT0)
| X0 = X1 ),
inference(flattening,[],[f198]) ).
fof(f198,plain,
! [X0,X1] :
( szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X0,szNzAzT0)
| X0 = X1
| ~ aElementOf0(X1,szNzAzT0) ),
inference(ennf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0,X1] :
( ( aElementOf0(X0,szNzAzT0)
& X0 != X1
& aElementOf0(X1,szNzAzT0) )
=> szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1)) ),
inference(rectify,[],[f84]) ).
fof(f84,axiom,
! [X1,X0] :
( ( X0 != X1
& aElementOf0(X0,szNzAzT0)
& aElementOf0(X1,szNzAzT0) )
=> szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3821) ).
fof(f976,plain,
( spl25_65
| ~ spl25_29
| ~ spl25_40 ),
inference(avatar_split_clause,[],[f972,f797,f718,f974]) ).
fof(f972,plain,
( ! [X1] :
( ~ aElementOf0(xK,szNzAzT0)
| xK = X1
| ~ aElementOf0(X1,szNzAzT0)
| sdtlpdtrp0(xe,X1) != sdtlpdtrp0(xe,xK) )
| ~ spl25_40 ),
inference(forward_subsumption_demodulation,[],[f970,f357]) ).
fof(f970,plain,
( ! [X1] :
( ~ aElementOf0(xK,szNzAzT0)
| szmzizndt0(sdtlpdtrp0(xN,X1)) != sdtlpdtrp0(xe,xK)
| xK = X1
| ~ aElementOf0(X1,szNzAzT0) )
| ~ spl25_40 ),
inference(superposition,[],[f455,f799]) ).
fof(f968,plain,
( ~ spl25_11
| spl25_63
| ~ spl25_39 ),
inference(avatar_split_clause,[],[f967,f792,f959,f624]) ).
fof(f959,plain,
( spl25_63
<=> ! [X1] :
( sdtlpdtrp0(xe,X1) != sdtlpdtrp0(xe,xk)
| ~ aElementOf0(X1,szNzAzT0)
| xk = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_63])]) ).
fof(f967,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| xk = X0
| sdtlpdtrp0(xe,X0) != sdtlpdtrp0(xe,xk)
| ~ aElementOf0(xk,szNzAzT0) )
| ~ spl25_39 ),
inference(forward_subsumption_demodulation,[],[f954,f357]) ).
fof(f954,plain,
( ! [X0] :
( szmzizndt0(sdtlpdtrp0(xN,X0)) != sdtlpdtrp0(xe,xk)
| ~ aElementOf0(xk,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| xk = X0 )
| ~ spl25_39 ),
inference(superposition,[],[f455,f794]) ).
fof(f966,plain,
( spl25_64
| ~ spl25_11
| ~ spl25_39 ),
inference(avatar_split_clause,[],[f956,f792,f624,f963]) ).
fof(f963,plain,
( spl25_64
<=> aSubsetOf0(sK15(xk),sdtmndt0(sdtlpdtrp0(xN,xk),sdtlpdtrp0(xe,xk))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_64])]) ).
fof(f956,plain,
( ~ aElementOf0(xk,szNzAzT0)
| aSubsetOf0(sK15(xk),sdtmndt0(sdtlpdtrp0(xN,xk),sdtlpdtrp0(xe,xk)))
| ~ spl25_39 ),
inference(superposition,[],[f482,f794]) ).
fof(f961,plain,
( ~ spl25_11
| spl25_63
| ~ spl25_39 ),
inference(avatar_split_clause,[],[f957,f792,f959,f624]) ).
fof(f957,plain,
( ! [X1] :
( sdtlpdtrp0(xe,X1) != sdtlpdtrp0(xe,xk)
| xk = X1
| ~ aElementOf0(xk,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) )
| ~ spl25_39 ),
inference(forward_subsumption_demodulation,[],[f955,f357]) ).
fof(f955,plain,
( ! [X1] :
( szmzizndt0(sdtlpdtrp0(xN,X1)) != sdtlpdtrp0(xe,xk)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(xk,szNzAzT0)
| xk = X1 )
| ~ spl25_39 ),
inference(superposition,[],[f455,f794]) ).
fof(f947,plain,
( spl25_62
| ~ spl25_11
| ~ spl25_26 ),
inference(avatar_split_clause,[],[f942,f703,f624,f944]) ).
fof(f942,plain,
( ~ aElementOf0(xk,szNzAzT0)
| iLess0(xk,xK)
| ~ spl25_26 ),
inference(superposition,[],[f483,f705]) ).
fof(f941,plain,
( ~ spl25_61
| ~ spl25_11
| ~ spl25_26 ),
inference(avatar_split_clause,[],[f936,f703,f624,f938]) ).
fof(f936,plain,
( ~ aElementOf0(xk,szNzAzT0)
| ~ sdtlseqdt0(xK,sz00)
| ~ spl25_26 ),
inference(superposition,[],[f476,f705]) ).
fof(f935,plain,
( spl25_60
| ~ spl25_11
| ~ spl25_26 ),
inference(avatar_split_clause,[],[f930,f703,f624,f932]) ).
fof(f930,plain,
( ~ aElementOf0(xk,szNzAzT0)
| sdtlseqdt0(xk,xK)
| ~ spl25_26 ),
inference(superposition,[],[f383,f705]) ).
fof(f929,plain,
( ~ spl25_59
| ~ spl25_11
| ~ spl25_26 ),
inference(avatar_split_clause,[],[f924,f703,f624,f926]) ).
fof(f926,plain,
( spl25_59
<=> xK = xk ),
introduced(avatar_definition,[new_symbols(naming,[spl25_59])]) ).
fof(f924,plain,
( ~ aElementOf0(xk,szNzAzT0)
| xK != xk
| ~ spl25_26 ),
inference(superposition,[],[f379,f705]) ).
fof(f919,plain,
( ~ spl25_11
| spl25_48 ),
inference(avatar_split_clause,[],[f918,f840,f624]) ).
fof(f918,plain,
( ~ aElementOf0(xk,szNzAzT0)
| spl25_48 ),
inference(resolution,[],[f842,f521]) ).
fof(f842,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,xk),szNzAzT0)
| spl25_48 ),
inference(avatar_component_clause,[],[f840]) ).
fof(f917,plain,
( ~ spl25_2
| spl25_58
| ~ spl25_35
| ~ spl25_41
| ~ spl25_51 ),
inference(avatar_split_clause,[],[f916,f859,f803,f751,f912,f580]) ).
fof(f912,plain,
( spl25_58
<=> ! [X0] :
( ~ aSet0(X0)
| ~ aElementOf0(X0,szDzozmdt0(sdtlpdtrp0(xC,sz00)))
| sdtlpdtrp0(xc,sdtpldt0(X0,szmzizndt0(xS))) = sdtlpdtrp0(sdtlpdtrp0(xC,sz00),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_58])]) ).
fof(f916,plain,
( ! [X0] :
( ~ aSet0(X0)
| ~ aElementOf0(X0,szDzozmdt0(sdtlpdtrp0(xC,sz00)))
| ~ aElementOf0(sz00,szNzAzT0)
| sdtlpdtrp0(xc,sdtpldt0(X0,szmzizndt0(xS))) = sdtlpdtrp0(sdtlpdtrp0(xC,sz00),X0) )
| ~ spl25_35
| ~ spl25_41
| ~ spl25_51 ),
inference(forward_demodulation,[],[f915,f861]) ).
fof(f915,plain,
( ! [X0] :
( sdtlpdtrp0(xc,sdtpldt0(X0,szmzizndt0(xS))) = sdtlpdtrp0(sdtlpdtrp0(xC,sz00),X0)
| ~ aElementOf0(X0,slbdtsldtrb0(sdtmndt0(xS,szmzizndt0(xS)),xk))
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aSet0(X0) )
| ~ spl25_35
| ~ spl25_41 ),
inference(forward_demodulation,[],[f907,f753]) ).
fof(f907,plain,
( ! [X0] :
( ~ aElementOf0(sz00,szNzAzT0)
| sdtlpdtrp0(xc,sdtpldt0(X0,szmzizndt0(xS))) = sdtlpdtrp0(sdtlpdtrp0(xC,sz00),X0)
| ~ aElementOf0(X0,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sz00),szmzizndt0(xS)),xk))
| ~ aSet0(X0) )
| ~ spl25_41 ),
inference(superposition,[],[f691,f805]) ).
fof(f914,plain,
( ~ spl25_2
| spl25_58
| ~ spl25_35
| ~ spl25_41
| ~ spl25_51 ),
inference(avatar_split_clause,[],[f910,f859,f803,f751,f912,f580]) ).
fof(f910,plain,
( ! [X0] :
( ~ aSet0(X0)
| sdtlpdtrp0(xc,sdtpldt0(X0,szmzizndt0(xS))) = sdtlpdtrp0(sdtlpdtrp0(xC,sz00),X0)
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aElementOf0(X0,szDzozmdt0(sdtlpdtrp0(xC,sz00))) )
| ~ spl25_35
| ~ spl25_41
| ~ spl25_51 ),
inference(forward_demodulation,[],[f909,f861]) ).
fof(f909,plain,
( ! [X0] :
( sdtlpdtrp0(xc,sdtpldt0(X0,szmzizndt0(xS))) = sdtlpdtrp0(sdtlpdtrp0(xC,sz00),X0)
| ~ aElementOf0(X0,slbdtsldtrb0(sdtmndt0(xS,szmzizndt0(xS)),xk))
| ~ aSet0(X0)
| ~ aElementOf0(sz00,szNzAzT0) )
| ~ spl25_35
| ~ spl25_41 ),
inference(forward_demodulation,[],[f908,f805]) ).
fof(f908,plain,
( ! [X0] :
( ~ aElementOf0(sz00,szNzAzT0)
| ~ aSet0(X0)
| sdtlpdtrp0(xc,sdtpldt0(X0,sdtlpdtrp0(xe,sz00))) = sdtlpdtrp0(sdtlpdtrp0(xC,sz00),X0)
| ~ aElementOf0(X0,slbdtsldtrb0(sdtmndt0(xS,szmzizndt0(xS)),xk)) )
| ~ spl25_35
| ~ spl25_41 ),
inference(forward_demodulation,[],[f906,f805]) ).
fof(f906,plain,
( ! [X0] :
( ~ aElementOf0(X0,slbdtsldtrb0(sdtmndt0(xS,sdtlpdtrp0(xe,sz00)),xk))
| ~ aElementOf0(sz00,szNzAzT0)
| sdtlpdtrp0(xc,sdtpldt0(X0,sdtlpdtrp0(xe,sz00))) = sdtlpdtrp0(sdtlpdtrp0(xC,sz00),X0)
| ~ aSet0(X0) )
| ~ spl25_35 ),
inference(superposition,[],[f691,f753]) ).
fof(f905,plain,
( ~ spl25_30
| spl25_57
| ~ spl25_2
| ~ spl25_5
| ~ spl25_35
| ~ spl25_41 ),
inference(avatar_split_clause,[],[f900,f803,f751,f595,f580,f902,f724]) ).
fof(f900,plain,
( ~ isCountable0(xS)
| ~ aElementOf0(sz00,szNzAzT0)
| aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(sz00)),sdtmndt0(xS,szmzizndt0(xS)))
| ~ aSubsetOf0(xS,szNzAzT0)
| ~ spl25_35
| ~ spl25_41 ),
inference(forward_demodulation,[],[f898,f805]) ).
fof(f898,plain,
( ~ isCountable0(xS)
| ~ aSubsetOf0(xS,szNzAzT0)
| ~ aElementOf0(sz00,szNzAzT0)
| aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(sz00)),sdtmndt0(xS,sdtlpdtrp0(xe,sz00)))
| ~ spl25_35 ),
inference(superposition,[],[f755,f753]) ).
fof(f896,plain,
( spl25_56
| ~ spl25_11
| ~ spl25_26 ),
inference(avatar_split_clause,[],[f892,f703,f624,f894]) ).
fof(f894,plain,
( spl25_56
<=> ! [X0] :
( ~ aSet0(X0)
| sK19(xk) = sdtlpdtrp0(sdtlpdtrp0(xC,xk),X0)
| ~ aElementOf0(X0,slbdtsldtrb0(sdtlpdtrp0(xN,xK),xk)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_56])]) ).
fof(f892,plain,
( ! [X0] :
( ~ aElementOf0(xk,szNzAzT0)
| ~ aSet0(X0)
| ~ aElementOf0(X0,slbdtsldtrb0(sdtlpdtrp0(xN,xK),xk))
| sK19(xk) = sdtlpdtrp0(sdtlpdtrp0(xC,xk),X0) )
| ~ spl25_26 ),
inference(superposition,[],[f505,f705]) ).
fof(f891,plain,
( ~ spl25_11
| spl25_54
| spl25_55
| ~ spl25_26 ),
inference(avatar_split_clause,[],[f883,f703,f888,f885,f624]) ).
fof(f885,plain,
( spl25_54
<=> ! [X0] :
( ~ aElementOf0(X0,slbdtsldtrb0(sdtlpdtrp0(xN,xK),xk))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_54])]) ).
fof(f883,plain,
( ! [X0] :
( sK19(xk) = sdtlpdtrp0(xd,xk)
| ~ aElementOf0(X0,slbdtsldtrb0(sdtlpdtrp0(xN,xK),xk))
| ~ aSet0(X0)
| ~ aElementOf0(xk,szNzAzT0) )
| ~ spl25_26 ),
inference(superposition,[],[f733,f705]) ).
fof(f882,plain,
( ~ spl25_29
| spl25_49 ),
inference(avatar_split_clause,[],[f881,f844,f718]) ).
fof(f881,plain,
( ~ aElementOf0(xK,szNzAzT0)
| spl25_49 ),
inference(resolution,[],[f845,f522]) ).
fof(f845,plain,
( ~ isCountable0(sdtlpdtrp0(xN,xK))
| spl25_49 ),
inference(avatar_component_clause,[],[f844]) ).
fof(f880,plain,
( ~ spl25_2
| spl25_53
| ~ spl25_35 ),
inference(avatar_split_clause,[],[f879,f751,f876,f580]) ).
fof(f876,plain,
( spl25_53
<=> ! [X0] :
( sz00 = X0
| sdtlpdtrp0(xe,X0) != szmzizndt0(xS)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_53])]) ).
fof(f879,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlpdtrp0(xe,X0) != szmzizndt0(xS)
| sz00 = X0
| ~ aElementOf0(sz00,szNzAzT0) )
| ~ spl25_35 ),
inference(forward_subsumption_demodulation,[],[f871,f357]) ).
fof(f871,plain,
( ! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(xS)
| ~ aElementOf0(sz00,szNzAzT0) )
| ~ spl25_35 ),
inference(superposition,[],[f455,f753]) ).
fof(f878,plain,
( ~ spl25_2
| spl25_53
| ~ spl25_35 ),
inference(avatar_split_clause,[],[f874,f751,f876,f580]) ).
fof(f874,plain,
( ! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| sdtlpdtrp0(xe,X0) != szmzizndt0(xS)
| ~ aElementOf0(sz00,szNzAzT0) )
| ~ spl25_35 ),
inference(forward_subsumption_demodulation,[],[f870,f357]) ).
fof(f870,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(sz00,szNzAzT0)
| sz00 = X0
| szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(xS) )
| ~ spl25_35 ),
inference(superposition,[],[f455,f753]) ).
fof(f869,plain,
( ~ spl25_11
| spl25_47 ),
inference(avatar_split_clause,[],[f868,f836,f624]) ).
fof(f836,plain,
( spl25_47
<=> isCountable0(sdtlpdtrp0(xN,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_47])]) ).
fof(f868,plain,
( ~ aElementOf0(xk,szNzAzT0)
| spl25_47 ),
inference(resolution,[],[f838,f522]) ).
fof(f838,plain,
( ~ isCountable0(sdtlpdtrp0(xN,xk))
| spl25_47 ),
inference(avatar_component_clause,[],[f836]) ).
fof(f867,plain,
( spl25_52
| ~ spl25_29 ),
inference(avatar_split_clause,[],[f849,f718,f864]) ).
fof(f849,plain,
( slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xK),sdtlpdtrp0(xe,xK)),xk) = szDzozmdt0(sdtlpdtrp0(xC,xK))
| ~ spl25_29 ),
inference(resolution,[],[f734,f720]) ).
fof(f862,plain,
( spl25_51
| ~ spl25_2
| ~ spl25_35
| ~ spl25_41 ),
inference(avatar_split_clause,[],[f857,f803,f751,f580,f859]) ).
fof(f857,plain,
( slbdtsldtrb0(sdtmndt0(xS,szmzizndt0(xS)),xk) = szDzozmdt0(sdtlpdtrp0(xC,sz00))
| ~ spl25_2
| ~ spl25_35
| ~ spl25_41 ),
inference(forward_demodulation,[],[f856,f753]) ).
fof(f856,plain,
( szDzozmdt0(sdtlpdtrp0(xC,sz00)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sz00),szmzizndt0(xS)),xk)
| ~ spl25_2
| ~ spl25_41 ),
inference(forward_demodulation,[],[f848,f805]) ).
fof(f848,plain,
( slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sz00),sdtlpdtrp0(xe,sz00)),xk) = szDzozmdt0(sdtlpdtrp0(xC,sz00))
| ~ spl25_2 ),
inference(resolution,[],[f734,f582]) ).
fof(f855,plain,
( spl25_50
| ~ spl25_11 ),
inference(avatar_split_clause,[],[f850,f624,f852]) ).
fof(f850,plain,
( szDzozmdt0(sdtlpdtrp0(xC,xk)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xk),sdtlpdtrp0(xe,xk)),xk)
| ~ spl25_11 ),
inference(resolution,[],[f734,f626]) ).
fof(f847,plain,
( ~ spl25_47
| ~ spl25_48
| ~ spl25_11
| spl25_49
| ~ spl25_26 ),
inference(avatar_split_clause,[],[f834,f703,f844,f624,f840,f836]) ).
fof(f834,plain,
( isCountable0(sdtlpdtrp0(xN,xK))
| ~ aElementOf0(xk,szNzAzT0)
| ~ aSubsetOf0(sdtlpdtrp0(xN,xk),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,xk))
| ~ spl25_26 ),
inference(superposition,[],[f362,f705]) ).
fof(f833,plain,
( spl25_46
| ~ spl25_2
| ~ spl25_35 ),
inference(avatar_split_clause,[],[f824,f751,f580,f831]) ).
fof(f831,plain,
( spl25_46
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aSubsetOf0(xS,sdtlpdtrp0(xN,X0))
| ~ sdtlseqdt0(X0,sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_46])]) ).
fof(f824,plain,
( ! [X0] :
( ~ aElementOf0(sz00,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X0,sz00)
| aSubsetOf0(xS,sdtlpdtrp0(xN,X0)) )
| ~ spl25_35 ),
inference(superposition,[],[f470,f753]) ).
fof(f470,plain,
! [X0,X1] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(flattening,[],[f132]) ).
fof(f132,plain,
! [X1,X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f83,axiom,
! [X1,X0] :
( ( aElementOf0(X0,szNzAzT0)
& aElementOf0(X1,szNzAzT0) )
=> ( sdtlseqdt0(X1,X0)
=> aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3754) ).
fof(f829,plain,
( spl25_45
| ~ spl25_2
| ~ spl25_35 ),
inference(avatar_split_clause,[],[f825,f751,f580,f827]) ).
fof(f825,plain,
( ! [X0] :
( ~ aElementOf0(sz00,szNzAzT0)
| aSubsetOf0(sdtlpdtrp0(xN,X0),xS)
| ~ sdtlseqdt0(sz00,X0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl25_35 ),
inference(superposition,[],[f470,f753]) ).
fof(f823,plain,
( spl25_44
| ~ spl25_2
| ~ spl25_35 ),
inference(avatar_split_clause,[],[f818,f751,f580,f820]) ).
fof(f818,plain,
( ~ aElementOf0(sz00,szNzAzT0)
| aSubsetOf0(sK15(sz00),sdtmndt0(xS,szmzizndt0(xS)))
| ~ spl25_35 ),
inference(superposition,[],[f482,f753]) ).
fof(f816,plain,
( ~ spl25_2
| ~ spl25_42
| ~ spl25_43
| ~ spl25_41 ),
inference(avatar_split_clause,[],[f807,f803,f813,f809,f580]) ).
fof(f809,plain,
( spl25_42
<=> aElementOf0(sz00,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_42])]) ).
fof(f813,plain,
( spl25_43
<=> sK2 = szmzizndt0(xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_43])]) ).
fof(f807,plain,
( sK2 != szmzizndt0(xS)
| ~ aElementOf0(sz00,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ aElementOf0(sz00,szNzAzT0)
| ~ spl25_41 ),
inference(superposition,[],[f351,f805]) ).
fof(f806,plain,
( spl25_41
| ~ spl25_2
| ~ spl25_35 ),
inference(avatar_split_clause,[],[f801,f751,f580,f803]) ).
fof(f801,plain,
( sdtlpdtrp0(xe,sz00) = szmzizndt0(xS)
| ~ spl25_2
| ~ spl25_35 ),
inference(forward_demodulation,[],[f788,f753]) ).
fof(f788,plain,
( szmzizndt0(sdtlpdtrp0(xN,sz00)) = sdtlpdtrp0(xe,sz00)
| ~ spl25_2 ),
inference(resolution,[],[f357,f582]) ).
fof(f800,plain,
( spl25_40
| ~ spl25_29 ),
inference(avatar_split_clause,[],[f789,f718,f797]) ).
fof(f789,plain,
( sdtlpdtrp0(xe,xK) = szmzizndt0(sdtlpdtrp0(xN,xK))
| ~ spl25_29 ),
inference(resolution,[],[f357,f720]) ).
fof(f795,plain,
( spl25_39
| ~ spl25_11 ),
inference(avatar_split_clause,[],[f790,f624,f792]) ).
fof(f790,plain,
( szmzizndt0(sdtlpdtrp0(xN,xk)) = sdtlpdtrp0(xe,xk)
| ~ spl25_11 ),
inference(resolution,[],[f357,f626]) ).
fof(f782,plain,
( ~ spl25_34
| ~ spl25_38
| ~ spl25_12 ),
inference(avatar_split_clause,[],[f776,f629,f779,f746]) ).
fof(f776,plain,
( ~ isCountable0(xT)
| ~ aSet0(xT)
| ~ spl25_12 ),
inference(resolution,[],[f342,f631]) ).
fof(f775,plain,
( spl25_37
| ~ spl25_7
| ~ spl25_8 ),
inference(avatar_split_clause,[],[f770,f609,f605,f772]) ).
fof(f770,plain,
( ~ aSet0(slcrc0)
| aElement0(sz00)
| ~ spl25_8 ),
inference(superposition,[],[f398,f611]) ).
fof(f398,plain,
! [X0] :
( aElement0(sbrdtbr0(X0))
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
! [X0] :
( ~ aSet0(X0)
| aElement0(sbrdtbr0(X0)) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,axiom,
! [X0] :
( aSet0(X0)
=> aElement0(sbrdtbr0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardS) ).
fof(f765,plain,
( spl25_36
| ~ spl25_15
| ~ spl25_22 ),
inference(avatar_split_clause,[],[f760,f681,f644,f762]) ).
fof(f681,plain,
( spl25_22
<=> aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_22])]) ).
fof(f760,plain,
( aSubsetOf0(sdtlcdtrc0(xd,szNzAzT0),xT)
| ~ spl25_15
| ~ spl25_22 ),
inference(forward_demodulation,[],[f683,f646]) ).
fof(f683,plain,
( aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT)
| ~ spl25_22 ),
inference(avatar_component_clause,[],[f681]) ).
fof(f754,plain,
spl25_35,
inference(avatar_split_clause,[],[f361,f751]) ).
fof(f361,plain,
xS = sdtlpdtrp0(xN,sz00),
inference(cnf_transformation,[],[f135]) ).
fof(f749,plain,
spl25_34,
inference(avatar_split_clause,[],[f341,f746]) ).
fof(f341,plain,
aSet0(xT),
inference(cnf_transformation,[],[f73]) ).
fof(f73,axiom,
( aSet0(xT)
& isFinite0(xT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3291) ).
fof(f744,plain,
spl25_33,
inference(avatar_split_clause,[],[f358,f741]) ).
fof(f358,plain,
aFunction0(xe),
inference(cnf_transformation,[],[f129]) ).
fof(f739,plain,
spl25_32,
inference(avatar_split_clause,[],[f426,f736]) ).
fof(f736,plain,
( spl25_32
<=> slcrc0 = slbdtrb0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_32])]) ).
fof(f426,plain,
slcrc0 = slbdtrb0(sz00),
inference(cnf_transformation,[],[f52]) ).
fof(f52,axiom,
slcrc0 = slbdtrb0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSegZero) ).
fof(f732,plain,
spl25_31,
inference(avatar_split_clause,[],[f433,f729]) ).
fof(f433,plain,
aFunction0(xC),
inference(cnf_transformation,[],[f236]) ).
fof(f727,plain,
spl25_30,
inference(avatar_split_clause,[],[f523,f724]) ).
fof(f523,plain,
aSubsetOf0(xS,szNzAzT0),
inference(cnf_transformation,[],[f75]) ).
fof(f75,axiom,
( isCountable0(xS)
& aSubsetOf0(xS,szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3435) ).
fof(f722,plain,
spl25_7,
inference(avatar_split_clause,[],[f555,f605]) ).
fof(f555,plain,
aSet0(slcrc0),
inference(equality_resolution,[],[f461]) ).
fof(f461,plain,
! [X0] :
( aSet0(X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f303]) ).
fof(f721,plain,
spl25_29,
inference(avatar_split_clause,[],[f384,f718]) ).
fof(f384,plain,
aElementOf0(xK,szNzAzT0),
inference(cnf_transformation,[],[f74]) ).
fof(f74,axiom,
aElementOf0(xK,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3418) ).
fof(f716,plain,
spl25_28,
inference(avatar_split_clause,[],[f430,f713]) ).
fof(f430,plain,
aFunction0(xd),
inference(cnf_transformation,[],[f131]) ).
fof(f711,plain,
spl25_27,
inference(avatar_split_clause,[],[f467,f708]) ).
fof(f467,plain,
aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT),
inference(cnf_transformation,[],[f76]) ).
fof(f76,axiom,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& aFunction0(xc)
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3453) ).
fof(f706,plain,
spl25_26,
inference(avatar_split_clause,[],[f472,f703]) ).
fof(f472,plain,
xK = szszuzczcdt0(xk),
inference(cnf_transformation,[],[f80]) ).
fof(f80,axiom,
( xK = szszuzczcdt0(xk)
& aElementOf0(xk,szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3533) ).
fof(f701,plain,
spl25_25,
inference(avatar_split_clause,[],[f417,f698]) ).
fof(f417,plain,
isFinite0(slcrc0),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
isFinite0(slcrc0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEmpFin) ).
fof(f696,plain,
spl25_24,
inference(avatar_split_clause,[],[f364,f693]) ).
fof(f364,plain,
aFunction0(xN),
inference(cnf_transformation,[],[f135]) ).
fof(f689,plain,
spl25_23,
inference(avatar_split_clause,[],[f413,f686]) ).
fof(f413,plain,
xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))),
inference(cnf_transformation,[],[f95]) ).
fof(f95,axiom,
( aSet0(xO)
& xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4891) ).
fof(f684,plain,
spl25_22,
inference(avatar_split_clause,[],[f381,f681]) ).
fof(f381,plain,
aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT),
inference(cnf_transformation,[],[f93]) ).
fof(f93,axiom,
aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4758) ).
fof(f679,plain,
( ~ spl25_7
| ~ spl25_21 ),
inference(avatar_split_clause,[],[f557,f676,f605]) ).
fof(f557,plain,
( ~ isCountable0(slcrc0)
| ~ aSet0(slcrc0) ),
inference(equality_resolution,[],[f490]) ).
fof(f490,plain,
! [X0] :
( slcrc0 != X0
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f155]) ).
fof(f155,plain,
! [X0] :
( slcrc0 != X0
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f154]) ).
fof(f154,plain,
! [X0] :
( slcrc0 != X0
| ~ aSet0(X0)
| ~ isCountable0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( ( aSet0(X0)
& isCountable0(X0) )
=> slcrc0 != X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCountNFin_01) ).
fof(f674,plain,
spl25_18,
inference(avatar_split_clause,[],[f414,f659]) ).
fof(f414,plain,
aSet0(xO),
inference(cnf_transformation,[],[f95]) ).
fof(f673,plain,
spl25_20,
inference(avatar_split_clause,[],[f463,f670]) ).
fof(f463,plain,
aElementOf0(szDzizrdt0(xd),xT),
inference(cnf_transformation,[],[f94]) ).
fof(f94,axiom,
( isCountable0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(szDzizrdt0(xd),xT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4854) ).
fof(f668,plain,
~ spl25_1,
inference(avatar_split_clause,[],[f344,f575]) ).
fof(f344,plain,
sz00 != xK,
inference(cnf_transformation,[],[f78]) ).
fof(f78,axiom,
sz00 != xK,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3462) ).
fof(f667,plain,
spl25_19,
inference(avatar_split_clause,[],[f466,f664]) ).
fof(f466,plain,
aFunction0(xc),
inference(cnf_transformation,[],[f76]) ).
fof(f662,plain,
spl25_18,
inference(avatar_split_clause,[],[f353,f659]) ).
fof(f353,plain,
aSet0(xO),
inference(cnf_transformation,[],[f96]) ).
fof(f96,axiom,
( aSet0(xO)
& isCountable0(xO) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4908) ).
fof(f657,plain,
spl25_17,
inference(avatar_split_clause,[],[f432,f654]) ).
fof(f432,plain,
szNzAzT0 = szDzozmdt0(xC),
inference(cnf_transformation,[],[f236]) ).
fof(f652,plain,
spl25_16,
inference(avatar_split_clause,[],[f464,f649]) ).
fof(f649,plain,
( spl25_16
<=> isCountable0(sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_16])]) ).
fof(f464,plain,
isCountable0(sdtlbdtrb0(xd,szDzizrdt0(xd))),
inference(cnf_transformation,[],[f94]) ).
fof(f647,plain,
spl25_15,
inference(avatar_split_clause,[],[f431,f644]) ).
fof(f431,plain,
szNzAzT0 = szDzozmdt0(xd),
inference(cnf_transformation,[],[f131]) ).
fof(f642,plain,
spl25_14,
inference(avatar_split_clause,[],[f515,f639]) ).
fof(f515,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f23,axiom,
( isCountable0(szNzAzT0)
& aSet0(szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNATSet) ).
fof(f637,plain,
spl25_13,
inference(avatar_split_clause,[],[f359,f634]) ).
fof(f359,plain,
szNzAzT0 = szDzozmdt0(xe),
inference(cnf_transformation,[],[f129]) ).
fof(f632,plain,
spl25_12,
inference(avatar_split_clause,[],[f340,f629]) ).
fof(f340,plain,
isFinite0(xT),
inference(cnf_transformation,[],[f73]) ).
fof(f627,plain,
spl25_11,
inference(avatar_split_clause,[],[f471,f624]) ).
fof(f471,plain,
aElementOf0(xk,szNzAzT0),
inference(cnf_transformation,[],[f80]) ).
fof(f622,plain,
spl25_10,
inference(avatar_split_clause,[],[f352,f619]) ).
fof(f619,plain,
( spl25_10
<=> isCountable0(xO) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_10])]) ).
fof(f352,plain,
isCountable0(xO),
inference(cnf_transformation,[],[f96]) ).
fof(f617,plain,
spl25_9,
inference(avatar_split_clause,[],[f465,f614]) ).
fof(f465,plain,
szDzozmdt0(xc) = slbdtsldtrb0(xS,xK),
inference(cnf_transformation,[],[f76]) ).
fof(f612,plain,
( ~ spl25_7
| spl25_8 ),
inference(avatar_split_clause,[],[f554,f609,f605]) ).
fof(f554,plain,
( sz00 = sbrdtbr0(slcrc0)
| ~ aSet0(slcrc0) ),
inference(equality_resolution,[],[f456]) ).
fof(f456,plain,
! [X0] :
( sz00 = sbrdtbr0(X0)
| slcrc0 != X0
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f296]) ).
fof(f296,plain,
! [X0] :
( ( ( slcrc0 = X0
| sz00 != sbrdtbr0(X0) )
& ( sz00 = sbrdtbr0(X0)
| slcrc0 != X0 ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f158]) ).
fof(f158,plain,
! [X0] :
( ( slcrc0 = X0
<=> sz00 = sbrdtbr0(X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0] :
( aSet0(X0)
=> ( slcrc0 = X0
<=> sz00 = sbrdtbr0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardEmpty) ).
fof(f603,plain,
spl25_6,
inference(avatar_split_clause,[],[f516,f600]) ).
fof(f516,plain,
isCountable0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f598,plain,
spl25_5,
inference(avatar_split_clause,[],[f524,f595]) ).
fof(f524,plain,
isCountable0(xS),
inference(cnf_transformation,[],[f75]) ).
fof(f593,plain,
spl25_4,
inference(avatar_split_clause,[],[f350,f590]) ).
fof(f350,plain,
aElementOf0(sK2,xO),
inference(cnf_transformation,[],[f250]) ).
fof(f588,plain,
spl25_3,
inference(avatar_split_clause,[],[f360,f585]) ).
fof(f360,plain,
szNzAzT0 = szDzozmdt0(xN),
inference(cnf_transformation,[],[f135]) ).
fof(f583,plain,
spl25_2,
inference(avatar_split_clause,[],[f378,f580]) ).
fof(f378,plain,
aElementOf0(sz00,szNzAzT0),
inference(cnf_transformation,[],[f24]) ).
fof(f24,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroNum) ).
fof(f578,plain,
~ spl25_1,
inference(avatar_split_clause,[],[f469,f575]) ).
fof(f469,plain,
sz00 != xK,
inference(cnf_transformation,[],[f79]) ).
fof(f79,axiom,
sz00 != xK,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3520) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : NUM600+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.11/0.32 % Computer : n004.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Aug 30 07:17:34 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.17/0.47 % (32499)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.48 % (32515)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.17/0.49 % (32507)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.17/0.49 % (32504)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.17/0.49 % (32505)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.17/0.50 % (32506)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.17/0.50 % (32496)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.50 % (32516)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.17/0.50 % (32508)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.17/0.51 % (32495)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.17/0.51 % (32497)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.52 % (32498)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.17/0.52 TRYING [1]
% 0.17/0.52 % (32500)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.17/0.52 % (32520)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.17/0.52 % (32521)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.17/0.53 % (32513)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.17/0.53 % (32493)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.17/0.53 % (32500)Instruction limit reached!
% 0.17/0.53 % (32500)------------------------------
% 0.17/0.53 % (32500)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.53 % (32500)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.53 % (32500)Termination reason: Unknown
% 0.17/0.53 % (32500)Termination phase: Property scanning
% 0.17/0.53
% 0.17/0.53 % (32500)Memory used [KB]: 1279
% 0.17/0.53 % (32500)Time elapsed: 0.013 s
% 0.17/0.53 % (32500)Instructions burned: 7 (million)
% 0.17/0.53 % (32500)------------------------------
% 0.17/0.53 % (32500)------------------------------
% 0.17/0.53 % (32494)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.17/0.53 % (32512)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.17/0.54 TRYING [2]
% 0.17/0.54 % (32522)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.60/0.54 % (32518)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.60/0.54 % (32503)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.60/0.54 % (32499)Instruction limit reached!
% 1.60/0.54 % (32499)------------------------------
% 1.60/0.54 % (32499)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.54 % (32499)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.54 % (32499)Termination reason: Unknown
% 1.60/0.54 % (32499)Termination phase: Finite model building constraint generation
% 1.60/0.54
% 1.60/0.54 % (32499)Memory used [KB]: 7675
% 1.60/0.54 % (32499)Time elapsed: 0.161 s
% 1.60/0.54 % (32499)Instructions burned: 52 (million)
% 1.60/0.54 % (32499)------------------------------
% 1.60/0.54 % (32499)------------------------------
% 1.60/0.55 % (32510)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.60/0.55 % (32519)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.60/0.55 % (32502)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.60/0.55 % (32501)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.60/0.55 % (32501)Instruction limit reached!
% 1.60/0.55 % (32501)------------------------------
% 1.60/0.55 % (32501)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.55 % (32501)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.55 % (32501)Termination reason: Unknown
% 1.60/0.55 % (32501)Termination phase: Preprocessing 1
% 1.60/0.55
% 1.60/0.55 % (32501)Memory used [KB]: 1023
% 1.60/0.55 % (32501)Time elapsed: 0.002 s
% 1.60/0.55 % (32501)Instructions burned: 2 (million)
% 1.60/0.55 % (32501)------------------------------
% 1.60/0.55 % (32501)------------------------------
% 1.60/0.56 % (32514)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.60/0.56 % (32511)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.82/0.56 % (32509)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.82/0.57 % (32517)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.82/0.59 % (32495)Instruction limit reached!
% 1.82/0.59 % (32495)------------------------------
% 1.82/0.59 % (32495)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.59 % (32495)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.59 % (32495)Termination reason: Unknown
% 1.82/0.59 % (32495)Termination phase: Saturation
% 1.82/0.59
% 1.82/0.59 % (32495)Memory used [KB]: 1535
% 1.82/0.59 % (32495)Time elapsed: 0.215 s
% 1.82/0.59 % (32495)Instructions burned: 37 (million)
% 1.82/0.59 % (32495)------------------------------
% 1.82/0.59 % (32495)------------------------------
% 1.82/0.62 % (32507)Instruction limit reached!
% 1.82/0.62 % (32507)------------------------------
% 1.82/0.62 % (32507)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.62 TRYING [1]
% 1.82/0.62 % (32507)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.62 % (32507)Termination reason: Unknown
% 1.82/0.62 % (32507)Termination phase: Saturation
% 1.82/0.62
% 1.82/0.62 % (32507)Memory used [KB]: 7036
% 1.82/0.62 % (32507)Time elapsed: 0.076 s
% 1.82/0.62 % (32507)Instructions burned: 68 (million)
% 1.82/0.62 % (32507)------------------------------
% 1.82/0.62 % (32507)------------------------------
% 1.82/0.64 % (32496)Instruction limit reached!
% 1.82/0.64 % (32496)------------------------------
% 1.82/0.64 % (32496)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.64 % (32496)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.64 % (32496)Termination reason: Unknown
% 1.82/0.64 % (32496)Termination phase: Saturation
% 1.82/0.64
% 1.82/0.64 % (32496)Memory used [KB]: 6908
% 1.82/0.64 % (32496)Time elapsed: 0.266 s
% 1.82/0.64 % (32496)Instructions burned: 51 (million)
% 1.82/0.64 % (32496)------------------------------
% 1.82/0.64 % (32496)------------------------------
% 1.82/0.64 TRYING [2]
% 1.82/0.65 % (32503)Instruction limit reached!
% 1.82/0.65 % (32503)------------------------------
% 1.82/0.65 % (32503)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.65 % (32503)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.65 % (32503)Termination reason: Unknown
% 1.82/0.65 % (32503)Termination phase: Saturation
% 1.82/0.65
% 1.82/0.65 % (32503)Memory used [KB]: 6652
% 1.82/0.65 % (32503)Time elapsed: 0.263 s
% 1.82/0.65 % (32503)Instructions burned: 50 (million)
% 1.82/0.65 % (32503)------------------------------
% 1.82/0.65 % (32503)------------------------------
% 1.82/0.65 % (32497)Instruction limit reached!
% 1.82/0.65 % (32497)------------------------------
% 1.82/0.65 % (32497)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.65 % (32497)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.65 % (32497)Termination reason: Unknown
% 1.82/0.65 % (32497)Termination phase: Saturation
% 1.82/0.65
% 1.82/0.65 % (32497)Memory used [KB]: 6524
% 1.82/0.65 % (32497)Time elapsed: 0.267 s
% 1.82/0.65 % (32497)Instructions burned: 52 (million)
% 1.82/0.65 % (32497)------------------------------
% 1.82/0.65 % (32497)------------------------------
% 1.82/0.65 % (32498)Instruction limit reached!
% 1.82/0.65 % (32498)------------------------------
% 1.82/0.65 % (32498)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.65 % (32498)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.65 % (32498)Termination reason: Unknown
% 1.82/0.65 % (32498)Termination phase: Saturation
% 1.82/0.65
% 1.82/0.65 % (32498)Memory used [KB]: 6524
% 1.82/0.65 % (32498)Time elapsed: 0.237 s
% 1.82/0.65 % (32498)Instructions burned: 48 (million)
% 1.82/0.65 % (32498)------------------------------
% 1.82/0.65 % (32498)------------------------------
% 2.37/0.66 TRYING [1]
% 2.37/0.66 TRYING [2]
% 2.37/0.68 % (32508)Instruction limit reached!
% 2.37/0.68 % (32508)------------------------------
% 2.37/0.68 % (32508)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.37/0.68 % (32508)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.37/0.68 % (32508)Termination reason: Unknown
% 2.37/0.68 % (32508)Termination phase: Saturation
% 2.37/0.68
% 2.37/0.68 % (32508)Memory used [KB]: 2302
% 2.37/0.68 % (32508)Time elapsed: 0.238 s
% 2.37/0.68 % (32508)Instructions burned: 75 (million)
% 2.37/0.68 % (32508)------------------------------
% 2.37/0.68 % (32508)------------------------------
% 2.37/0.68 % (32510)Instruction limit reached!
% 2.37/0.68 % (32510)------------------------------
% 2.37/0.68 % (32510)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.37/0.68 % (32510)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.37/0.68 % (32510)Termination reason: Unknown
% 2.37/0.68 % (32510)Termination phase: Finite model building constraint generation
% 2.37/0.68
% 2.37/0.68 % (32510)Memory used [KB]: 7803
% 2.37/0.68 % (32510)Time elapsed: 0.273 s
% 2.37/0.68 % (32510)Instructions burned: 59 (million)
% 2.37/0.68 % (32510)------------------------------
% 2.37/0.68 % (32510)------------------------------
% 2.37/0.68 % (32494)Refutation not found, incomplete strategy% (32494)------------------------------
% 2.37/0.68 % (32494)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.37/0.68 % (32494)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.37/0.68 % (32494)Termination reason: Refutation not found, incomplete strategy
% 2.37/0.68
% 2.37/0.68 % (32494)Memory used [KB]: 6652
% 2.37/0.68 % (32494)Time elapsed: 0.297 s
% 2.37/0.68 % (32494)Instructions burned: 49 (million)
% 2.37/0.68 % (32494)------------------------------
% 2.37/0.68 % (32494)------------------------------
% 2.37/0.69 % (32502)Instruction limit reached!
% 2.37/0.69 % (32502)------------------------------
% 2.37/0.69 % (32502)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.37/0.69 % (32502)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.37/0.69 % (32502)Termination reason: Unknown
% 2.37/0.69 % (32502)Termination phase: Saturation
% 2.37/0.69
% 2.37/0.69 % (32502)Memory used [KB]: 2046
% 2.37/0.69 % (32502)Time elapsed: 0.288 s
% 2.37/0.69 % (32502)Instructions burned: 51 (million)
% 2.37/0.69 % (32502)------------------------------
% 2.37/0.69 % (32502)------------------------------
% 2.69/0.71 % (32524)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 2.69/0.72 % (32519)Instruction limit reached!
% 2.69/0.72 % (32519)------------------------------
% 2.69/0.72 % (32519)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.69/0.72 % (32519)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.69/0.72 % (32519)Termination reason: Unknown
% 2.69/0.72 % (32519)Termination phase: Saturation
% 2.69/0.72
% 2.69/0.72 % (32519)Memory used [KB]: 7036
% 2.69/0.72 % (32519)Time elapsed: 0.053 s
% 2.69/0.72 % (32519)Instructions burned: 68 (million)
% 2.69/0.72 % (32519)------------------------------
% 2.69/0.72 % (32519)------------------------------
% 2.69/0.72 TRYING [3]
% 2.69/0.72 % (32504)Instruction limit reached!
% 2.69/0.72 % (32504)------------------------------
% 2.69/0.72 % (32504)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.89/0.74 % (32506)Instruction limit reached!
% 2.89/0.74 % (32506)------------------------------
% 2.89/0.74 % (32506)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.90/0.74 % (32504)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.90/0.74 % (32504)Termination reason: Unknown
% 2.90/0.74 % (32504)Termination phase: Saturation
% 2.90/0.74
% 2.90/0.74 % (32504)Memory used [KB]: 8187
% 2.90/0.74 % (32504)Time elapsed: 0.352 s
% 2.90/0.74 % (32504)Instructions burned: 100 (million)
% 2.90/0.74 % (32504)------------------------------
% 2.90/0.74 % (32504)------------------------------
% 2.90/0.75 % (32523)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/388Mi)
% 2.90/0.75 % (32506)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.90/0.75 % (32506)Termination reason: Unknown
% 2.90/0.75 % (32506)Termination phase: Saturation
% 2.90/0.75
% 2.90/0.75 % (32506)Memory used [KB]: 7036
% 2.90/0.75 % (32506)Time elapsed: 0.343 s
% 2.90/0.75 % (32506)Instructions burned: 99 (million)
% 2.90/0.75 % (32506)------------------------------
% 2.90/0.75 % (32506)------------------------------
% 2.90/0.75 % (32512)Instruction limit reached!
% 2.90/0.75 % (32512)------------------------------
% 2.90/0.75 % (32512)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.90/0.75 % (32512)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.90/0.75 % (32512)Termination reason: Unknown
% 2.90/0.75 % (32512)Termination phase: Saturation
% 2.90/0.75
% 2.90/0.75 % (32512)Memory used [KB]: 2046
% 2.90/0.75 % (32512)Time elapsed: 0.376 s
% 2.90/0.75 % (32512)Instructions burned: 101 (million)
% 2.90/0.75 % (32512)------------------------------
% 2.90/0.75 % (32512)------------------------------
% 2.90/0.76 % (32505)Instruction limit reached!
% 2.90/0.76 % (32505)------------------------------
% 2.90/0.76 % (32505)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.90/0.76 % (32505)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.90/0.76 % (32505)Termination reason: Unknown
% 2.90/0.76 % (32505)Termination phase: Saturation
% 2.90/0.76
% 2.90/0.76 % (32505)Memory used [KB]: 7675
% 2.90/0.76 % (32505)Time elapsed: 0.390 s
% 2.90/0.76 % (32505)Instructions burned: 102 (million)
% 2.90/0.76 % (32505)------------------------------
% 2.90/0.76 % (32505)------------------------------
% 2.90/0.78 % (32525)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.90/0.79 % (32511)Instruction limit reached!
% 2.90/0.79 % (32511)------------------------------
% 2.90/0.79 % (32511)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.90/0.79 % (32511)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.90/0.79 % (32511)Termination reason: Unknown
% 2.90/0.79 % (32511)Termination phase: Saturation
% 2.90/0.79
% 2.90/0.79 % (32511)Memory used [KB]: 6908
% 2.90/0.79 % (32511)Time elapsed: 0.404 s
% 2.90/0.79 % (32511)Instructions burned: 100 (million)
% 2.90/0.79 % (32511)------------------------------
% 2.90/0.79 % (32511)------------------------------
% 3.19/0.80 % (32527)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 3.19/0.82 % (32526)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 3.19/0.83 % (32531)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/940Mi)
% 3.19/0.85 % (32509)Instruction limit reached!
% 3.19/0.85 % (32509)------------------------------
% 3.19/0.85 % (32509)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.19/0.85 % (32509)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.19/0.85 % (32509)Termination reason: Unknown
% 3.19/0.85 % (32509)Termination phase: Saturation
% 3.19/0.85
% 3.19/0.85 % (32509)Memory used [KB]: 7419
% 3.19/0.85 % (32509)Time elapsed: 0.448 s
% 3.19/0.85 % (32509)Instructions burned: 100 (million)
% 3.19/0.85 % (32509)------------------------------
% 3.19/0.85 % (32509)------------------------------
% 3.19/0.85 % (32514)Instruction limit reached!
% 3.19/0.85 % (32514)------------------------------
% 3.19/0.85 % (32514)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.19/0.85 % (32514)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.19/0.85 % (32514)Termination reason: Unknown
% 3.19/0.85 % (32514)Termination phase: Saturation
% 3.19/0.85
% 3.19/0.85 % (32514)Memory used [KB]: 7547
% 3.19/0.85 % (32514)Time elapsed: 0.458 s
% 3.19/0.85 % (32514)Instructions burned: 138 (million)
% 3.19/0.85 % (32514)------------------------------
% 3.19/0.85 % (32514)------------------------------
% 3.19/0.85 % (32528)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/747Mi)
% 3.35/0.86 % (32529)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/655Mi)
% 3.35/0.86 % (32530)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 3.35/0.90 % (32534)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2016Mi)
% 3.35/0.90 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 3.35/0.90 % (32532)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/981Mi)
% 3.35/0.90 % (32535)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/3735Mi)
% 3.35/0.91 % (32537)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4959Mi)
% 3.35/0.91 % (32538)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4756Mi)
% 3.35/0.92 % (32520)Instruction limit reached!
% 3.35/0.92 % (32520)------------------------------
% 3.35/0.92 % (32520)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.35/0.92 % (32533)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/90Mi)
% 3.35/0.93 % (32536)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4958Mi)
% 3.35/0.93 % (32520)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.35/0.93 % (32520)Termination reason: Unknown
% 3.35/0.93 % (32520)Termination phase: Saturation
% 3.35/0.93
% 3.35/0.93 % (32520)Memory used [KB]: 3965
% 3.35/0.93 % (32520)Time elapsed: 0.536 s
% 3.35/0.93 % (32520)Instructions burned: 177 (million)
% 3.35/0.93 % (32520)------------------------------
% 3.35/0.93 % (32520)------------------------------
% 3.57/0.97 % (32539)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4931Mi)
% 3.57/0.98 % (32540)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/68Mi)
% 3.65/1.00 % (32513)Instruction limit reached!
% 3.65/1.00 % (32513)------------------------------
% 3.65/1.00 % (32513)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.65/1.00 % (32513)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.65/1.00 % (32513)Termination reason: Unknown
% 3.65/1.00 % (32513)Termination phase: Saturation
% 3.65/1.00
% 3.65/1.00 % (32513)Memory used [KB]: 8187
% 3.65/1.00 % (32513)Time elapsed: 0.628 s
% 3.65/1.00 % (32513)Instructions burned: 177 (million)
% 3.65/1.00 % (32513)------------------------------
% 3.65/1.00 % (32513)------------------------------
% 3.65/1.01 % (32541)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/1824Mi)
% 3.65/1.03 % (32525)Instruction limit reached!
% 3.65/1.03 % (32525)------------------------------
% 3.65/1.03 % (32525)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.65/1.03 % (32525)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.65/1.03 % (32525)Termination reason: Unknown
% 3.65/1.03 % (32525)Termination phase: Saturation
% 3.65/1.03
% 3.65/1.03 % (32525)Memory used [KB]: 7547
% 3.65/1.03 % (32525)Time elapsed: 0.426 s
% 3.65/1.03 % (32525)Instructions burned: 91 (million)
% 3.65/1.03 % (32525)------------------------------
% 3.65/1.03 % (32525)------------------------------
% 3.65/1.03 % (32530)Instruction limit reached!
% 3.65/1.03 % (32530)------------------------------
% 3.65/1.03 % (32530)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.65/1.03 % (32530)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.65/1.03 % (32530)Termination reason: Unknown
% 3.65/1.03 % (32530)Termination phase: Saturation
% 3.65/1.03
% 3.65/1.03 % (32530)Memory used [KB]: 7036
% 3.65/1.03 % (32530)Time elapsed: 0.052 s
% 3.65/1.03 % (32530)Instructions burned: 68 (million)
% 3.65/1.03 % (32530)------------------------------
% 3.65/1.03 % (32530)------------------------------
% 3.97/1.04 % (32543)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2891Mi)
% 5.78/1.11 TRYING [4]
% 5.78/1.11 % (32542)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=2134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2134Mi)
% 5.78/1.12 % (32544)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/4585Mi)
% 6.26/1.15 % (32540)Instruction limit reached!
% 6.26/1.15 % (32540)------------------------------
% 6.26/1.15 % (32540)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.26/1.15 % (32540)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.26/1.15 % (32540)Termination reason: Unknown
% 6.26/1.15 % (32540)Termination phase: Saturation
% 6.26/1.15
% 6.26/1.15 % (32540)Memory used [KB]: 7036
% 6.26/1.15 % (32540)Time elapsed: 0.051 s
% 6.26/1.15 % (32540)Instructions burned: 68 (million)
% 6.26/1.15 % (32540)------------------------------
% 6.26/1.15 % (32540)------------------------------
% 6.26/1.15 % (32533)Instruction limit reached!
% 6.26/1.15 % (32533)------------------------------
% 6.26/1.15 % (32533)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.26/1.15 % (32533)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.26/1.15 % (32533)Termination reason: Unknown
% 6.26/1.15 % (32533)Termination phase: Saturation
% 6.26/1.15
% 6.26/1.15 % (32533)Memory used [KB]: 7164
% 6.26/1.15 % (32533)Time elapsed: 0.424 s
% 6.26/1.15 % (32533)Instructions burned: 90 (million)
% 6.26/1.15 % (32533)------------------------------
% 6.26/1.15 % (32533)------------------------------
% 6.72/1.21 % (32524)Instruction limit reached!
% 6.72/1.21 % (32524)------------------------------
% 6.72/1.21 % (32524)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.72/1.21 % (32524)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.72/1.21 % (32524)Termination reason: Unknown
% 6.72/1.21 % (32524)Termination phase: Saturation
% 6.72/1.21
% 6.72/1.21 % (32524)Memory used [KB]: 3326
% 6.72/1.21 % (32524)Time elapsed: 0.567 s
% 6.72/1.21 % (32524)Instructions burned: 211 (million)
% 6.72/1.21 % (32524)------------------------------
% 6.72/1.21 % (32524)------------------------------
% 6.72/1.23 % (32545)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/90Mi)
% 6.72/1.25 % (32547)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/8004Mi)
% 7.23/1.29 % (32546)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/2016Mi)
% 7.80/1.38 % (32548)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=9965:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/9965Mi)
% 7.80/1.38 % (32522)Instruction limit reached!
% 7.80/1.38 % (32522)------------------------------
% 7.80/1.38 % (32522)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.80/1.38 % (32522)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.80/1.38 % (32522)Termination reason: Unknown
% 7.80/1.38 % (32522)Termination phase: Saturation
% 7.80/1.38
% 7.80/1.38 % (32522)Memory used [KB]: 10362
% 7.80/1.38 % (32522)Time elapsed: 0.836 s
% 7.80/1.38 % (32522)Instructions burned: 356 (million)
% 7.80/1.38 % (32522)------------------------------
% 7.80/1.38 % (32522)------------------------------
% 7.80/1.39 % (32549)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=9877:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/9877Mi)
% 8.46/1.45 % (32550)ins+10_1:16_bce=on:fde=unused:igpr=on:igs=35:igwr=on:sp=const_frequency:tgt=full:to=lpo:i=9902:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/9902Mi)
% 8.46/1.45 % (32545)Instruction limit reached!
% 8.46/1.45 % (32545)------------------------------
% 8.46/1.45 % (32545)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.46/1.45 % (32545)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.46/1.45 % (32545)Termination reason: Unknown
% 8.46/1.45 % (32545)Termination phase: Saturation
% 8.46/1.45
% 8.46/1.45 % (32545)Memory used [KB]: 7291
% 8.46/1.45 % (32545)Time elapsed: 0.391 s
% 8.46/1.45 % (32545)Instructions burned: 91 (million)
% 8.46/1.45 % (32545)------------------------------
% 8.46/1.45 % (32545)------------------------------
% 8.46/1.46 % (32515)Instruction limit reached!
% 8.46/1.46 % (32515)------------------------------
% 8.46/1.46 % (32515)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.46/1.47 % (32515)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.46/1.48 % (32515)Termination reason: Unknown
% 8.46/1.48 % (32515)Termination phase: Saturation
% 8.46/1.48
% 8.46/1.48 % (32515)Memory used [KB]: 4733
% 8.46/1.48 % (32515)Time elapsed: 1.066 s
% 8.46/1.48 % (32515)Instructions burned: 499 (million)
% 8.46/1.48 % (32515)------------------------------
% 8.46/1.48 % (32515)------------------------------
% 9.33/1.63 % (32551)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/1824Mi)
% 10.23/1.67 % (32552)dis+2_1:64_add=large:bce=on:bd=off:i=9989:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/9989Mi)
% 10.61/1.69 % (32553)ott-11_1:32_i=9707:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/9707Mi)
% 10.61/1.74 % (32521)Instruction limit reached!
% 10.61/1.74 % (32521)------------------------------
% 10.61/1.74 % (32521)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.61/1.74 % (32521)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.61/1.74 % (32521)Termination reason: Unknown
% 10.61/1.74 % (32521)Termination phase: Saturation
% 10.61/1.74
% 10.61/1.74 % (32521)Memory used [KB]: 11001
% 10.61/1.74 % (32521)Time elapsed: 1.288 s
% 10.61/1.74 % (32521)Instructions burned: 440 (million)
% 10.61/1.74 % (32521)------------------------------
% 10.61/1.74 % (32521)------------------------------
% 10.61/1.76 % (32516)Instruction limit reached!
% 10.61/1.76 % (32516)------------------------------
% 10.61/1.76 % (32516)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.61/1.76 % (32516)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.61/1.76 % (32516)Termination reason: Unknown
% 10.61/1.76 % (32516)Termination phase: Saturation
% 10.61/1.76
% 10.61/1.76 % (32516)Memory used [KB]: 9594
% 10.61/1.76 % (32516)Time elapsed: 1.323 s
% 10.61/1.76 % (32516)Instructions burned: 467 (million)
% 10.61/1.76 % (32516)------------------------------
% 10.61/1.76 % (32516)------------------------------
% 11.69/1.83 % (32523)Instruction limit reached!
% 11.69/1.83 % (32523)------------------------------
% 11.69/1.83 % (32523)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.69/1.83 % (32523)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.69/1.83 % (32523)Termination reason: Unknown
% 11.69/1.83 % (32523)Termination phase: Saturation
% 11.69/1.83
% 11.69/1.83 % (32523)Memory used [KB]: 10874
% 11.69/1.83 % (32523)Time elapsed: 1.225 s
% 11.69/1.83 % (32523)Instructions burned: 388 (million)
% 11.69/1.83 % (32523)------------------------------
% 11.69/1.83 % (32523)------------------------------
% 11.69/1.85 % (32518)Instruction limit reached!
% 11.69/1.85 % (32518)------------------------------
% 11.69/1.85 % (32518)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.69/1.85 % (32518)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.69/1.85 % (32518)Termination reason: Unknown
% 11.69/1.85 % (32518)Termination phase: Saturation
% 11.69/1.85
% 11.69/1.85 % (32518)Memory used [KB]: 11001
% 11.69/1.85 % (32518)Time elapsed: 1.468 s
% 11.69/1.85 % (32518)Instructions burned: 500 (million)
% 11.69/1.85 % (32518)------------------------------
% 11.69/1.85 % (32518)------------------------------
% 12.30/1.95 % (32517)Instruction limit reached!
% 12.30/1.95 % (32517)------------------------------
% 12.30/1.95 % (32517)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.30/1.95 % (32517)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.30/1.95 % (32517)Termination reason: Unknown
% 12.30/1.95 % (32517)Termination phase: Saturation
% 12.30/1.95
% 12.30/1.95 % (32517)Memory used [KB]: 10746
% 12.30/1.95 % (32517)Time elapsed: 1.549 s
% 12.30/1.95 % (32517)Instructions burned: 482 (million)
% 12.30/1.95 % (32517)------------------------------
% 12.30/1.95 % (32517)------------------------------
% 12.30/1.96 % (32555)ott+3_1:1_abs=on:anc=none:bs=on:fsr=off:spb=goal_then_units:i=44001:si=on:rawr=on:rtra=on_0 on theBenchmark for (2985ds/44001Mi)
% 12.86/1.99 % (32554)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2985ds/90Mi)
% 13.48/2.09 % (32556)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2984ds/4958Mi)
% 13.59/2.10 TRYING [5]
% 13.59/2.11 % (32557)ott+1_27:428_av=off:awrs=converge:awrsf=8:bsr=unit_only:drc=off:fd=preordered:newcnf=on:nwc=1.5:skr=on:slsq=on:slsqc=2:slsql=off:slsqr=1,4:sp=reverse_frequency:uwa=one_side_constant:i=35256:si=on:rawr=on:rtra=on_0 on theBenchmark for (2984ds/35256Mi)
% 14.32/2.18 % (32558)dis+1002_1:1_fde=unused:nwc=10.0:s2a=on:s2at=3.0:sac=on:i=32293:si=on:rawr=on:rtra=on_0 on theBenchmark for (2983ds/32293Mi)
% 14.32/2.22 % (32554)Instruction limit reached!
% 14.32/2.22 % (32554)------------------------------
% 14.32/2.22 % (32554)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 14.32/2.22 % (32554)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 14.32/2.22 % (32554)Termination reason: Unknown
% 14.32/2.22 % (32554)Termination phase: Saturation
% 14.32/2.22
% 14.32/2.22 % (32554)Memory used [KB]: 7419
% 14.32/2.22 % (32554)Time elapsed: 0.417 s
% 14.32/2.22 % (32554)Instructions burned: 90 (million)
% 14.32/2.22 % (32554)------------------------------
% 14.32/2.22 % (32554)------------------------------
% 15.63/2.35 % (32529)Instruction limit reached!
% 15.63/2.35 % (32529)------------------------------
% 15.63/2.35 % (32529)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 15.63/2.35 % (32529)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 15.63/2.36 % (32529)Termination reason: Unknown
% 15.63/2.36 % (32529)Termination phase: Saturation
% 15.63/2.36
% 15.63/2.36 % (32529)Memory used [KB]: 5628
% 15.63/2.36 % (32529)Time elapsed: 1.638 s
% 15.63/2.36 % (32529)Instructions burned: 655 (million)
% 15.63/2.36 % (32529)------------------------------
% 15.63/2.36 % (32529)------------------------------
% 16.10/2.44 % (32559)ott+21_1:28_afr=on:anc=all_dependent:bs=on:bsr=unit_only:nicw=on:sp=const_frequency:uhcvi=on:i=37001:si=on:rawr=on:rtra=on_0 on theBenchmark for (2981ds/37001Mi)
% 17.14/2.53 % (32560)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=10187:si=on:rawr=on:rtra=on_0 on theBenchmark for (2979ds/10187Mi)
% 18.30/2.73 % (32528)Instruction limit reached!
% 18.30/2.73 % (32528)------------------------------
% 18.30/2.73 % (32528)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 18.30/2.73 % (32528)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 18.30/2.73 % (32528)Termination reason: Unknown
% 18.30/2.73 % (32528)Termination phase: Saturation
% 18.30/2.73
% 18.30/2.73 % (32528)Memory used [KB]: 18038
% 18.30/2.73 % (32528)Time elapsed: 2.030 s
% 18.30/2.73 % (32528)Instructions burned: 747 (million)
% 18.30/2.73 % (32528)------------------------------
% 18.30/2.73 % (32528)------------------------------
% 20.40/2.92 % (32561)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=29337:si=on:rawr=on:rtra=on_0 on theBenchmark for (2976ds/29337Mi)
% 20.65/3.02 % (32527)Instruction limit reached!
% 20.65/3.02 % (32527)------------------------------
% 20.65/3.02 % (32527)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 20.65/3.02 % (32527)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 20.65/3.02 % (32527)Termination reason: Unknown
% 20.65/3.02 % (32527)Termination phase: Saturation
% 20.65/3.02
% 20.65/3.02 % (32527)Memory used [KB]: 18933
% 20.65/3.02 % (32527)Time elapsed: 2.324 s
% 20.65/3.02 % (32527)Instructions burned: 934 (million)
% 20.65/3.02 % (32527)------------------------------
% 20.65/3.02 % (32527)------------------------------
% 21.71/3.14 % (32531)Instruction limit reached!
% 21.71/3.14 % (32531)------------------------------
% 21.71/3.14 % (32531)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 21.71/3.14 % (32531)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 21.71/3.14 % (32531)Termination reason: Unknown
% 21.71/3.14 % (32531)Termination phase: Saturation
% 21.71/3.14
% 21.71/3.14 % (32531)Memory used [KB]: 17398
% 21.71/3.14 % (32531)Time elapsed: 2.424 s
% 21.71/3.14 % (32531)Instructions burned: 941 (million)
% 21.71/3.14 % (32531)------------------------------
% 21.71/3.14 % (32531)------------------------------
% 22.38/3.19 % (32526)Instruction limit reached!
% 22.38/3.19 % (32526)------------------------------
% 22.38/3.19 % (32526)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 22.38/3.21 % (32526)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 22.38/3.21 % (32526)Termination reason: Unknown
% 22.38/3.21 % (32526)Termination phase: Saturation
% 22.38/3.21
% 22.38/3.21 % (32526)Memory used [KB]: 16247
% 22.38/3.21 % (32526)Time elapsed: 2.534 s
% 22.38/3.21 % (32526)Instructions burned: 921 (million)
% 22.38/3.21 % (32526)------------------------------
% 22.38/3.21 % (32526)------------------------------
% 22.99/3.28 % (32562)ins+10_1:16_bce=on:fde=unused:igpr=on:igs=35:igwr=on:sp=const_frequency:tgt=full:to=lpo:i=10147:si=on:rawr=on:rtra=on_0 on theBenchmark for (2972ds/10147Mi)
% 22.99/3.32 % (32532)Instruction limit reached!
% 22.99/3.32 % (32532)------------------------------
% 22.99/3.32 % (32532)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 22.99/3.32 % (32532)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 22.99/3.32 % (32532)Termination reason: Unknown
% 22.99/3.32 % (32532)Termination phase: Saturation
% 22.99/3.32
% 22.99/3.32 % (32532)Memory used [KB]: 23666
% 22.99/3.32 % (32532)Time elapsed: 2.566 s
% 22.99/3.32 % (32532)Instructions burned: 981 (million)
% 22.99/3.32 % (32532)------------------------------
% 22.99/3.32 % (32532)------------------------------
% 23.99/3.39 % (32563)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=38056:si=on:rawr=on:rtra=on_0 on theBenchmark for (2972ds/38056Mi)
% 24.35/3.41 % (32564)fmb+10_1:1_dr=on:fmbsr=2.0:newcnf=on:nm=2:i=33239:si=on:rawr=on:rtra=on_0 on theBenchmark for (2971ds/33239Mi)
% 24.35/3.47 TRYING [1]
% 24.35/3.47 TRYING [2]
% 24.88/3.48 TRYING [1]
% 24.88/3.49 TRYING [2]
% 24.88/3.55 % (32565)fmb+10_1:1_fmbas=predicate:gsp=on:nm=2:i=20987:si=on:rawr=on:rtra=on_0 on theBenchmark for (2970ds/20987Mi)
% 24.88/3.55 TRYING [3]
% 24.88/3.56 TRYING [3]
% 25.76/3.62 TRYING [1]
% 26.06/3.63 TRYING [2]
% 26.74/3.71 TRYING [3]
% 27.23/3.85 TRYING [4]
% 28.16/3.92 TRYING [4]
% 29.36/4.05 % (32541)Instruction limit reached!
% 29.36/4.05 % (32541)------------------------------
% 29.36/4.05 % (32541)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 29.36/4.07 % (32541)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 29.36/4.07 % (32541)Termination reason: Unknown
% 29.36/4.07 % (32541)Termination phase: Saturation
% 29.36/4.07
% 29.36/4.07 % (32541)Memory used [KB]: 5373
% 29.36/4.07 % (32541)Time elapsed: 3.205 s
% 29.36/4.07 % (32541)Instructions burned: 1824 (million)
% 29.36/4.07 % (32541)------------------------------
% 29.36/4.07 % (32541)------------------------------
% 29.65/4.08 TRYING [4]
% 31.06/4.28 % (32566)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=49917:si=on:rawr=on:rtra=on_0 on theBenchmark for (2962ds/49917Mi)
% 31.65/4.35 TRYING [1]
% 31.65/4.36 TRYING [2]
% 31.89/4.42 TRYING [3]
% 34.10/4.69 % (32534)Instruction limit reached!
% 34.10/4.69 % (32534)------------------------------
% 34.10/4.69 % (32534)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 34.10/4.70 TRYING [5]
% 34.10/4.70 % (32534)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 34.10/4.70 % (32534)Termination reason: Unknown
% 34.10/4.70 % (32534)Termination phase: Saturation
% 34.10/4.70
% 34.10/4.70 % (32534)Memory used [KB]: 8571
% 34.10/4.70 % (32534)Time elapsed: 3.925 s
% 34.10/4.70 % (32534)Instructions burned: 2016 (million)
% 34.10/4.70 % (32534)------------------------------
% 34.10/4.70 % (32534)------------------------------
% 34.88/4.75 TRYING [4]
% 36.12/4.91 % (32567)dis+2_1:64_add=large:bce=on:bd=off:i=19144:si=on:rawr=on:rtra=on_0 on theBenchmark for (2956ds/19144Mi)
% 36.12/4.92 TRYING [5]
% 37.16/5.11 TRYING [5]
% 37.95/5.15 TRYING [6]
% 39.35/5.35 % (32551)Instruction limit reached!
% 39.35/5.35 % (32551)------------------------------
% 39.35/5.35 % (32551)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 39.35/5.35 % (32551)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 39.35/5.35 % (32551)Termination reason: Unknown
% 39.35/5.35 % (32551)Termination phase: Saturation
% 39.35/5.35
% 39.35/5.35 % (32551)Memory used [KB]: 5628
% 39.35/5.35 % (32551)Time elapsed: 3.883 s
% 39.35/5.35 % (32551)Instructions burned: 1824 (million)
% 39.35/5.35 % (32551)------------------------------
% 39.35/5.35 % (32551)------------------------------
% 39.35/5.38 % (32546)Instruction limit reached!
% 39.35/5.38 % (32546)------------------------------
% 39.35/5.38 % (32546)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 39.35/5.38 % (32546)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 39.35/5.38 % (32546)Termination reason: Unknown
% 39.35/5.38 % (32546)Termination phase: Saturation
% 39.35/5.38
% 39.35/5.38 % (32546)Memory used [KB]: 8187
% 39.35/5.38 % (32546)Time elapsed: 4.263 s
% 39.35/5.38 % (32546)Instructions burned: 2016 (million)
% 39.35/5.38 % (32546)------------------------------
% 39.35/5.38 % (32546)------------------------------
% 41.64/5.60 TRYING [5]
% 41.65/5.60 % (32568)dis+10_1:128_bd=off:lcm=predicate:sac=on:sp=reverse_arity:urr=on:i=27492:si=on:rawr=on:rtra=on_0 on theBenchmark for (2949ds/27492Mi)
% 41.65/5.62 % (32569)ott-11_1:32_i=6101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2949ds/6101Mi)
% 49.41/6.64 % (32542)Instruction limit reached!
% 49.41/6.64 % (32542)------------------------------
% 49.41/6.64 % (32542)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 49.41/6.64 % (32542)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 49.41/6.64 % (32542)Termination reason: Unknown
% 49.41/6.64 % (32542)Termination phase: Saturation
% 49.41/6.64
% 49.41/6.64 % (32542)Memory used [KB]: 29040
% 49.41/6.64 % (32542)Time elapsed: 5.713 s
% 49.41/6.64 % (32542)Instructions burned: 2134 (million)
% 49.41/6.64 % (32542)------------------------------
% 49.41/6.64 % (32542)------------------------------
% 51.58/6.86 % (32570)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2936ds/90Mi)
% 53.15/7.04 % (32570)Instruction limit reached!
% 53.15/7.04 % (32570)------------------------------
% 53.15/7.04 % (32570)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 53.15/7.04 % (32570)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 53.15/7.04 % (32570)Termination reason: Unknown
% 53.15/7.04 % (32570)Termination phase: Saturation
% 53.15/7.04
% 53.15/7.04 % (32570)Memory used [KB]: 7291
% 53.15/7.04 % (32570)Time elapsed: 0.271 s
% 53.15/7.04 % (32570)Instructions burned: 91 (million)
% 53.15/7.04 % (32570)------------------------------
% 53.15/7.04 % (32570)------------------------------
% 54.18/7.25 % (32571)ott+11_1:128_av=off:bd=off:bsr=unit_only:fd=preordered:to=lpo:updr=off:i=91600:si=on:rawr=on:rtra=on_0 on theBenchmark for (2932ds/91600Mi)
% 56.32/7.49 TRYING [6]
% 56.32/7.51 TRYING [6]
% 57.60/7.66 TRYING [6]
% 60.55/8.03 % (32543)Instruction limit reached!
% 60.55/8.03 % (32543)------------------------------
% 60.55/8.03 % (32543)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 60.55/8.03 % (32543)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 60.55/8.03 % (32543)Termination reason: Unknown
% 60.55/8.03 % (32543)Termination phase: Saturation
% 60.55/8.03
% 60.55/8.03 % (32543)Memory used [KB]: 23666
% 60.55/8.03 % (32543)Time elapsed: 7.077 s
% 60.55/8.03 % (32543)Instructions burned: 2892 (million)
% 60.55/8.03 % (32543)------------------------------
% 60.55/8.03 % (32543)------------------------------
% 62.56/8.25 % (32572)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=7127:si=on:rawr=on:rtra=on_0 on theBenchmark for (2922ds/7127Mi)
% 65.08/8.57 TRYING [6]
% 68.70/9.05 % (32556)First to succeed.
% 70.41/9.22 % (32556)Refutation found. Thanks to Tanya!
% 70.41/9.22 % SZS status Theorem for theBenchmark
% 70.41/9.22 % SZS output start Proof for theBenchmark
% See solution above
% 70.41/9.26 % (32556)------------------------------
% 70.41/9.26 % (32556)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 70.41/9.26 % (32556)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 70.41/9.26 % (32556)Termination reason: Refutation
% 70.41/9.26
% 70.41/9.26 % (32556)Memory used [KB]: 7164
% 70.41/9.26 % (32556)Time elapsed: 7.188 s
% 70.41/9.26 % (32556)Instructions burned: 3613 (million)
% 70.41/9.26 % (32556)------------------------------
% 70.41/9.26 % (32556)------------------------------
% 70.41/9.26 % (32492)Success in time 8.917 s
%------------------------------------------------------------------------------