TSTP Solution File: RNG123+1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : RNG123+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n003.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 : Tue Apr 30 14:53:13 EDT 2024
% Result : Theorem 3.53s 0.82s
% Output : Refutation 3.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 644
% Syntax : Number of formulae : 2034 ( 171 unt; 0 def)
% Number of atoms : 7739 (1084 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 10037 (4332 ~;4673 |; 347 &)
% ( 612 <=>; 73 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 587 ( 585 usr; 567 prp; 0-3 aty)
% Number of functors : 39 ( 39 usr; 12 con; 0-4 aty)
% Number of variables : 2575 (2473 !; 102 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10245,plain,
$false,
inference(avatar_sat_refutation,[],[f339,f344,f349,f354,f359,f364,f369,f374,f379,f384,f389,f394,f399,f404,f409,f414,f419,f424,f429,f434,f439,f444,f449,f454,f458,f462,f475,f479,f483,f489,f495,f504,f513,f518,f522,f526,f532,f537,f541,f545,f550,f554,f558,f562,f566,f570,f574,f578,f582,f586,f590,f595,f662,f667,f672,f676,f680,f684,f688,f693,f697,f701,f705,f709,f713,f717,f721,f744,f784,f789,f793,f797,f801,f830,f834,f838,f842,f846,f850,f854,f867,f872,f876,f880,f884,f888,f892,f896,f900,f904,f908,f912,f999,f1003,f1011,f1015,f1019,f1023,f1027,f1031,f1035,f1058,f1062,f1066,f1070,f1079,f1087,f1091,f1095,f1099,f1103,f1107,f1116,f1121,f1125,f1129,f1133,f1137,f1141,f1145,f1167,f1171,f1175,f1179,f1183,f1187,f1191,f1209,f1245,f1249,f1253,f1257,f1306,f1310,f1314,f1318,f1322,f1366,f1370,f1374,f1378,f1397,f1420,f1425,f1430,f1435,f1440,f1445,f1450,f1455,f1460,f1465,f1470,f1475,f1480,f1485,f1490,f1495,f1500,f1505,f1510,f1515,f1520,f1525,f1530,f1535,f1540,f1545,f1550,f1555,f1560,f1565,f1570,f1575,f1580,f1585,f1590,f1595,f1600,f1605,f1610,f1615,f1835,f1839,f1843,f1848,f1853,f1858,f1863,f1868,f1873,f1878,f1925,f1930,f1935,f1940,f1945,f1950,f1955,f1960,f1965,f1970,f1975,f1980,f1985,f1990,f2051,f2072,f2077,f2082,f2087,f2108,f2121,f2148,f2158,f2160,f2166,f2171,f2176,f2181,f2186,f2191,f2196,f2197,f2203,f2208,f2213,f2218,f2223,f2228,f2233,f2238,f2239,f2250,f2291,f2344,f2349,f2354,f2359,f2364,f2368,f2421,f2425,f2429,f2433,f2437,f2441,f2445,f2486,f2576,f2580,f2584,f2588,f2592,f2597,f2601,f2605,f2609,f2613,f2617,f2621,f2625,f2694,f2893,f2899,f2903,f2907,f2911,f2915,f2919,f2923,f3124,f3128,f3132,f3179,f3206,f3211,f3223,f3227,f3231,f3235,f3239,f3249,f3253,f3257,f3261,f3265,f3269,f3273,f3277,f3281,f3306,f3511,f3520,f3525,f3529,f3533,f3538,f3542,f3546,f3674,f3680,f3686,f3690,f3694,f3698,f3702,f3706,f3710,f3714,f3718,f3722,f3727,f3731,f3735,f3739,f3743,f3747,f3751,f3840,f4094,f4239,f4243,f4247,f4251,f4255,f4259,f4263,f4267,f4272,f4276,f4280,f4284,f4288,f4292,f4296,f4300,f4374,f4505,f4525,f4529,f4533,f4537,f4541,f4545,f4549,f4553,f4558,f4562,f4566,f4570,f4574,f4753,f4933,f4937,f4941,f4945,f4962,f4966,f4970,f4974,f4978,f4982,f4986,f5242,f5277,f5308,f5335,f5366,f5401,f5428,f5432,f5436,f5440,f5444,f5448,f5453,f5457,f5461,f5465,f5469,f5473,f5477,f5481,f5485,f5489,f5493,f5510,f5514,f5518,f5522,f5526,f5530,f5534,f5851,f5855,f5859,f5863,f5867,f5871,f5875,f5879,f5883,f5891,f5895,f5899,f5903,f6263,f6267,f6271,f6275,f6292,f6296,f6300,f6304,f6308,f6312,f6316,f6320,f6324,f6328,f6345,f6349,f6353,f6357,f6361,f6365,f6369,f6373,f6377,f6381,f6385,f6389,f6393,f6397,f6498,f7029,f7112,f7124,f7128,f7132,f7136,f7140,f7164,f7168,f7172,f7176,f7180,f7184,f7188,f7192,f7196,f7200,f7205,f7544,f7548,f7552,f7556,f7560,f7565,f7750,f7754,f7758,f7762,f7766,f7772,f7776,f7780,f7784,f7788,f7792,f7796,f7800,f7804,f7808,f7813,f7817,f7821,f8107,f8112,f8116,f8120,f8124,f8128,f8132,f8227,f8231,f8235,f8239,f8289,f8296,f8300,f8304,f8308,f8312,f8316,f8425,f8429,f8433,f8457,f8461,f8465,f8469,f8473,f8504,f8732,f8736,f8740,f8744,f8748,f8752,f8757,f8761,f8765,f8769,f8907,f8926,f8930,f8934,f8938,f8942,f8946,f8950,f8954,f8959,f8963,f8967,f9184,f9188,f9212,f9216,f9220,f9224,f9314,f9318,f9342,f9362,f9367,f9372,f9377,f9382,f9387,f9392,f9397,f9402,f9407,f9417,f9422,f9427,f9432,f9437,f9442,f9447,f9452,f9457,f9462,f9480,f9672,f9864,f10056,f10244]) ).
fof(f10244,plain,
( spl32_1
| ~ spl32_14
| ~ spl32_244
| ~ spl32_295 ),
inference(avatar_split_clause,[],[f3521,f3518,f2418,f401,f336]) ).
fof(f336,plain,
( spl32_1
<=> aElementOf0(xr,xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_1])]) ).
fof(f401,plain,
( spl32_14
<=> aElementOf0(xb,xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_14])]) ).
fof(f2418,plain,
( spl32_244
<=> sP2(xI,smndt0(sdtasdt0(xq,xu))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_244])]) ).
fof(f3518,plain,
( spl32_295
<=> ! [X0] :
( aElementOf0(xr,X0)
| ~ aElementOf0(xb,X0)
| ~ sP2(X0,smndt0(sdtasdt0(xq,xu))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_295])]) ).
fof(f3521,plain,
( ~ aElementOf0(xb,xI)
| aElementOf0(xr,xI)
| ~ spl32_244
| ~ spl32_295 ),
inference(resolution,[],[f3519,f2420]) ).
fof(f2420,plain,
( sP2(xI,smndt0(sdtasdt0(xq,xu)))
| ~ spl32_244 ),
inference(avatar_component_clause,[],[f2418]) ).
fof(f3519,plain,
( ! [X0] :
( ~ sP2(X0,smndt0(sdtasdt0(xq,xu)))
| ~ aElementOf0(xb,X0)
| aElementOf0(xr,X0) )
| ~ spl32_295 ),
inference(avatar_component_clause,[],[f3518]) ).
fof(f10056,plain,
( ~ spl32_36
| spl32_566
| ~ spl32_24
| ~ spl32_275 ),
inference(avatar_split_clause,[],[f3183,f3130,f451,f10053,f515]) ).
fof(f515,plain,
( spl32_36
<=> sP1(xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_36])]) ).
fof(f10053,plain,
( spl32_566
<=> aElement0(sK14(xb,xb)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_566])]) ).
fof(f451,plain,
( spl32_24
<=> aElementOf0(xb,slsdtgt0(xb)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_24])]) ).
fof(f3130,plain,
( spl32_275
<=> ! [X0,X1] :
( ~ aElementOf0(X0,slsdtgt0(X1))
| aElement0(sK14(X1,X0))
| ~ sP1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_275])]) ).
fof(f3183,plain,
( aElement0(sK14(xb,xb))
| ~ sP1(xb)
| ~ spl32_24
| ~ spl32_275 ),
inference(resolution,[],[f3131,f453]) ).
fof(f453,plain,
( aElementOf0(xb,slsdtgt0(xb))
| ~ spl32_24 ),
inference(avatar_component_clause,[],[f451]) ).
fof(f3131,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,slsdtgt0(X1))
| aElement0(sK14(X1,X0))
| ~ sP1(X1) )
| ~ spl32_275 ),
inference(avatar_component_clause,[],[f3130]) ).
fof(f9864,plain,
( ~ spl32_36
| spl32_565
| ~ spl32_23
| ~ spl32_275 ),
inference(avatar_split_clause,[],[f3182,f3130,f446,f9861,f515]) ).
fof(f9861,plain,
( spl32_565
<=> aElement0(sK14(xb,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_565])]) ).
fof(f446,plain,
( spl32_23
<=> aElementOf0(sz00,slsdtgt0(xb)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_23])]) ).
fof(f3182,plain,
( aElement0(sK14(xb,sz00))
| ~ sP1(xb)
| ~ spl32_23
| ~ spl32_275 ),
inference(resolution,[],[f3131,f448]) ).
fof(f448,plain,
( aElementOf0(sz00,slsdtgt0(xb))
| ~ spl32_23 ),
inference(avatar_component_clause,[],[f446]) ).
fof(f9672,plain,
( ~ spl32_30
| spl32_564
| ~ spl32_22
| ~ spl32_275 ),
inference(avatar_split_clause,[],[f3181,f3130,f441,f9669,f486]) ).
fof(f486,plain,
( spl32_30
<=> sP1(xa) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_30])]) ).
fof(f9669,plain,
( spl32_564
<=> aElement0(sK14(xa,xa)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_564])]) ).
fof(f441,plain,
( spl32_22
<=> aElementOf0(xa,slsdtgt0(xa)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_22])]) ).
fof(f3181,plain,
( aElement0(sK14(xa,xa))
| ~ sP1(xa)
| ~ spl32_22
| ~ spl32_275 ),
inference(resolution,[],[f3131,f443]) ).
fof(f443,plain,
( aElementOf0(xa,slsdtgt0(xa))
| ~ spl32_22 ),
inference(avatar_component_clause,[],[f441]) ).
fof(f9480,plain,
( ~ spl32_30
| spl32_563
| ~ spl32_21
| ~ spl32_275 ),
inference(avatar_split_clause,[],[f3180,f3130,f436,f9477,f486]) ).
fof(f9477,plain,
( spl32_563
<=> aElement0(sK14(xa,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_563])]) ).
fof(f436,plain,
( spl32_21
<=> aElementOf0(sz00,slsdtgt0(xa)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_21])]) ).
fof(f3180,plain,
( aElement0(sK14(xa,sz00))
| ~ sP1(xa)
| ~ spl32_21
| ~ spl32_275 ),
inference(resolution,[],[f3131,f438]) ).
fof(f438,plain,
( aElementOf0(sz00,slsdtgt0(xa))
| ~ spl32_21 ),
inference(avatar_component_clause,[],[f436]) ).
fof(f9462,plain,
( spl32_562
| ~ spl32_8
| ~ spl32_246 ),
inference(avatar_split_clause,[],[f2479,f2427,f371,f9459]) ).
fof(f9459,plain,
( spl32_562
<=> sz00 = sdtasdt0(sz00,smndt0(sK11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_562])]) ).
fof(f371,plain,
( spl32_8
<=> aElement0(sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_8])]) ).
fof(f2427,plain,
( spl32_246
<=> ! [X0] :
( sz00 = sdtasdt0(sz00,smndt0(X0))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_246])]) ).
fof(f2479,plain,
( sz00 = sdtasdt0(sz00,smndt0(sK11))
| ~ spl32_8
| ~ spl32_246 ),
inference(resolution,[],[f2428,f373]) ).
fof(f373,plain,
( aElement0(sK11)
| ~ spl32_8 ),
inference(avatar_component_clause,[],[f371]) ).
fof(f2428,plain,
( ! [X0] :
( ~ aElement0(X0)
| sz00 = sdtasdt0(sz00,smndt0(X0)) )
| ~ spl32_246 ),
inference(avatar_component_clause,[],[f2427]) ).
fof(f9457,plain,
( spl32_561
| ~ spl32_7
| ~ spl32_246 ),
inference(avatar_split_clause,[],[f2478,f2427,f366,f9454]) ).
fof(f9454,plain,
( spl32_561
<=> sz00 = sdtasdt0(sz00,smndt0(sK10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_561])]) ).
fof(f366,plain,
( spl32_7
<=> aElement0(sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_7])]) ).
fof(f2478,plain,
( sz00 = sdtasdt0(sz00,smndt0(sK10))
| ~ spl32_7
| ~ spl32_246 ),
inference(resolution,[],[f2428,f368]) ).
fof(f368,plain,
( aElement0(sK10)
| ~ spl32_7 ),
inference(avatar_component_clause,[],[f366]) ).
fof(f9452,plain,
( spl32_560
| ~ spl32_144
| ~ spl32_246 ),
inference(avatar_split_clause,[],[f2477,f2427,f1394,f9449]) ).
fof(f9449,plain,
( spl32_560
<=> sz00 = sdtasdt0(sz00,smndt0(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_560])]) ).
fof(f1394,plain,
( spl32_144
<=> aElement0(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_144])]) ).
fof(f2477,plain,
( sz00 = sdtasdt0(sz00,smndt0(sK9))
| ~ spl32_144
| ~ spl32_246 ),
inference(resolution,[],[f2428,f1396]) ).
fof(f1396,plain,
( aElement0(sK9)
| ~ spl32_144 ),
inference(avatar_component_clause,[],[f1394]) ).
fof(f9447,plain,
( spl32_559
| ~ spl32_4
| ~ spl32_246 ),
inference(avatar_split_clause,[],[f2476,f2427,f351,f9444]) ).
fof(f9444,plain,
( spl32_559
<=> sz00 = sdtasdt0(sz00,smndt0(xr)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_559])]) ).
fof(f351,plain,
( spl32_4
<=> aElement0(xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_4])]) ).
fof(f2476,plain,
( sz00 = sdtasdt0(sz00,smndt0(xr))
| ~ spl32_4
| ~ spl32_246 ),
inference(resolution,[],[f2428,f353]) ).
fof(f353,plain,
( aElement0(xr)
| ~ spl32_4 ),
inference(avatar_component_clause,[],[f351]) ).
fof(f9442,plain,
( spl32_558
| ~ spl32_3
| ~ spl32_246 ),
inference(avatar_split_clause,[],[f2475,f2427,f346,f9439]) ).
fof(f9439,plain,
( spl32_558
<=> sz00 = sdtasdt0(sz00,smndt0(xq)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_558])]) ).
fof(f346,plain,
( spl32_3
<=> aElement0(xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_3])]) ).
fof(f2475,plain,
( sz00 = sdtasdt0(sz00,smndt0(xq))
| ~ spl32_3
| ~ spl32_246 ),
inference(resolution,[],[f2428,f348]) ).
fof(f348,plain,
( aElement0(xq)
| ~ spl32_3 ),
inference(avatar_component_clause,[],[f346]) ).
fof(f9437,plain,
( spl32_557
| ~ spl32_130
| ~ spl32_246 ),
inference(avatar_split_clause,[],[f2474,f2427,f1206,f9434]) ).
fof(f9434,plain,
( spl32_557
<=> sz00 = sdtasdt0(sz00,smndt0(xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_557])]) ).
fof(f1206,plain,
( spl32_130
<=> aElement0(xu) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_130])]) ).
fof(f2474,plain,
( sz00 = sdtasdt0(sz00,smndt0(xu))
| ~ spl32_130
| ~ spl32_246 ),
inference(resolution,[],[f2428,f1208]) ).
fof(f1208,plain,
( aElement0(xu)
| ~ spl32_130 ),
inference(avatar_component_clause,[],[f1206]) ).
fof(f9432,plain,
( spl32_556
| ~ spl32_6
| ~ spl32_246 ),
inference(avatar_split_clause,[],[f2473,f2427,f361,f9429]) ).
fof(f9429,plain,
( spl32_556
<=> sz00 = sdtasdt0(sz00,smndt0(xb)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_556])]) ).
fof(f361,plain,
( spl32_6
<=> aElement0(xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_6])]) ).
fof(f2473,plain,
( sz00 = sdtasdt0(sz00,smndt0(xb))
| ~ spl32_6
| ~ spl32_246 ),
inference(resolution,[],[f2428,f363]) ).
fof(f363,plain,
( aElement0(xb)
| ~ spl32_6 ),
inference(avatar_component_clause,[],[f361]) ).
fof(f9427,plain,
( spl32_555
| ~ spl32_5
| ~ spl32_246 ),
inference(avatar_split_clause,[],[f2472,f2427,f356,f9424]) ).
fof(f9424,plain,
( spl32_555
<=> sz00 = sdtasdt0(sz00,smndt0(xa)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_555])]) ).
fof(f356,plain,
( spl32_5
<=> aElement0(xa) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_5])]) ).
fof(f2472,plain,
( sz00 = sdtasdt0(sz00,smndt0(xa))
| ~ spl32_5
| ~ spl32_246 ),
inference(resolution,[],[f2428,f358]) ).
fof(f358,plain,
( aElement0(xa)
| ~ spl32_5 ),
inference(avatar_component_clause,[],[f356]) ).
fof(f9422,plain,
( spl32_554
| ~ spl32_8
| ~ spl32_245 ),
inference(avatar_split_clause,[],[f2459,f2423,f371,f9419]) ).
fof(f9419,plain,
( spl32_554
<=> sz00 = sdtasdt0(smndt0(sK11),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_554])]) ).
fof(f2423,plain,
( spl32_245
<=> ! [X0] :
( sz00 = sdtasdt0(smndt0(X0),sz00)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_245])]) ).
fof(f2459,plain,
( sz00 = sdtasdt0(smndt0(sK11),sz00)
| ~ spl32_8
| ~ spl32_245 ),
inference(resolution,[],[f2424,f373]) ).
fof(f2424,plain,
( ! [X0] :
( ~ aElement0(X0)
| sz00 = sdtasdt0(smndt0(X0),sz00) )
| ~ spl32_245 ),
inference(avatar_component_clause,[],[f2423]) ).
fof(f9417,plain,
( spl32_553
| ~ spl32_7
| ~ spl32_245 ),
inference(avatar_split_clause,[],[f2458,f2423,f366,f9414]) ).
fof(f9414,plain,
( spl32_553
<=> sz00 = sdtasdt0(smndt0(sK10),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_553])]) ).
fof(f2458,plain,
( sz00 = sdtasdt0(smndt0(sK10),sz00)
| ~ spl32_7
| ~ spl32_245 ),
inference(resolution,[],[f2424,f368]) ).
fof(f9407,plain,
( spl32_552
| ~ spl32_144
| ~ spl32_245 ),
inference(avatar_split_clause,[],[f2457,f2423,f1394,f9404]) ).
fof(f9404,plain,
( spl32_552
<=> sz00 = sdtasdt0(smndt0(sK9),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_552])]) ).
fof(f2457,plain,
( sz00 = sdtasdt0(smndt0(sK9),sz00)
| ~ spl32_144
| ~ spl32_245 ),
inference(resolution,[],[f2424,f1396]) ).
fof(f9402,plain,
( spl32_551
| ~ spl32_4
| ~ spl32_245 ),
inference(avatar_split_clause,[],[f2456,f2423,f351,f9399]) ).
fof(f9399,plain,
( spl32_551
<=> sz00 = sdtasdt0(smndt0(xr),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_551])]) ).
fof(f2456,plain,
( sz00 = sdtasdt0(smndt0(xr),sz00)
| ~ spl32_4
| ~ spl32_245 ),
inference(resolution,[],[f2424,f353]) ).
fof(f9397,plain,
( spl32_550
| ~ spl32_3
| ~ spl32_245 ),
inference(avatar_split_clause,[],[f2455,f2423,f346,f9394]) ).
fof(f9394,plain,
( spl32_550
<=> sz00 = sdtasdt0(smndt0(xq),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_550])]) ).
fof(f2455,plain,
( sz00 = sdtasdt0(smndt0(xq),sz00)
| ~ spl32_3
| ~ spl32_245 ),
inference(resolution,[],[f2424,f348]) ).
fof(f9392,plain,
( spl32_549
| ~ spl32_130
| ~ spl32_245 ),
inference(avatar_split_clause,[],[f2454,f2423,f1206,f9389]) ).
fof(f9389,plain,
( spl32_549
<=> sz00 = sdtasdt0(smndt0(xu),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_549])]) ).
fof(f2454,plain,
( sz00 = sdtasdt0(smndt0(xu),sz00)
| ~ spl32_130
| ~ spl32_245 ),
inference(resolution,[],[f2424,f1208]) ).
fof(f9387,plain,
( spl32_548
| ~ spl32_6
| ~ spl32_245 ),
inference(avatar_split_clause,[],[f2453,f2423,f361,f9384]) ).
fof(f9384,plain,
( spl32_548
<=> sz00 = sdtasdt0(smndt0(xb),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_548])]) ).
fof(f2453,plain,
( sz00 = sdtasdt0(smndt0(xb),sz00)
| ~ spl32_6
| ~ spl32_245 ),
inference(resolution,[],[f2424,f363]) ).
fof(f9382,plain,
( spl32_547
| ~ spl32_5
| ~ spl32_245 ),
inference(avatar_split_clause,[],[f2452,f2423,f356,f9379]) ).
fof(f9379,plain,
( spl32_547
<=> sz00 = sdtasdt0(smndt0(xa),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_547])]) ).
fof(f2452,plain,
( sz00 = sdtasdt0(smndt0(xa),sz00)
| ~ spl32_5
| ~ spl32_245 ),
inference(resolution,[],[f2424,f358]) ).
fof(f9377,plain,
( spl32_546
| ~ spl32_59
| ~ spl32_144 ),
inference(avatar_split_clause,[],[f1406,f1394,f678,f9374]) ).
fof(f9374,plain,
( spl32_546
<=> sz00 = sdtpldt0(smndt0(sK9),sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_546])]) ).
fof(f678,plain,
( spl32_59
<=> ! [X0] :
( sz00 = sdtpldt0(smndt0(X0),X0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_59])]) ).
fof(f1406,plain,
( sz00 = sdtpldt0(smndt0(sK9),sK9)
| ~ spl32_59
| ~ spl32_144 ),
inference(resolution,[],[f1396,f679]) ).
fof(f679,plain,
( ! [X0] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(smndt0(X0),X0) )
| ~ spl32_59 ),
inference(avatar_component_clause,[],[f678]) ).
fof(f9372,plain,
( spl32_545
| ~ spl32_58
| ~ spl32_144 ),
inference(avatar_split_clause,[],[f1405,f1394,f674,f9369]) ).
fof(f9369,plain,
( spl32_545
<=> sz00 = sdtpldt0(sK9,smndt0(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_545])]) ).
fof(f674,plain,
( spl32_58
<=> ! [X0] :
( sz00 = sdtpldt0(X0,smndt0(X0))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_58])]) ).
fof(f1405,plain,
( sz00 = sdtpldt0(sK9,smndt0(sK9))
| ~ spl32_58
| ~ spl32_144 ),
inference(resolution,[],[f1396,f675]) ).
fof(f675,plain,
( ! [X0] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(X0,smndt0(X0)) )
| ~ spl32_58 ),
inference(avatar_component_clause,[],[f674]) ).
fof(f9367,plain,
( spl32_544
| ~ spl32_59
| ~ spl32_130 ),
inference(avatar_split_clause,[],[f1295,f1206,f678,f9364]) ).
fof(f9364,plain,
( spl32_544
<=> sz00 = sdtpldt0(smndt0(xu),xu) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_544])]) ).
fof(f1295,plain,
( sz00 = sdtpldt0(smndt0(xu),xu)
| ~ spl32_59
| ~ spl32_130 ),
inference(resolution,[],[f1208,f679]) ).
fof(f9362,plain,
( spl32_543
| ~ spl32_58
| ~ spl32_130 ),
inference(avatar_split_clause,[],[f1294,f1206,f674,f9359]) ).
fof(f9359,plain,
( spl32_543
<=> sz00 = sdtpldt0(xu,smndt0(xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_543])]) ).
fof(f1294,plain,
( sz00 = sdtpldt0(xu,smndt0(xu))
| ~ spl32_58
| ~ spl32_130 ),
inference(resolution,[],[f1208,f675]) ).
fof(f9342,plain,
( spl32_542
| ~ spl32_101
| ~ spl32_134 ),
inference(avatar_split_clause,[],[f1282,f1255,f1025,f9340]) ).
fof(f9340,plain,
( spl32_542
<=> ! [X4,X0,X3,X2,X1] :
( sz00 = sK26(X0,X1,X2,X3)
| sdtpldt0(sdtasdt0(sK28(X4,sK26(X0,X1,X2,X3)),sK26(X0,X1,X2,X3)),sK29(X4,sK26(X0,X1,X2,X3))) = X4
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_542])]) ).
fof(f1025,plain,
( spl32_101
<=> ! [X0,X3,X2,X1] :
( aElement0(sK26(X0,X1,X2,X3))
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_101])]) ).
fof(f1255,plain,
( spl32_134
<=> ! [X0,X1] :
( sdtpldt0(sdtasdt0(sK28(X0,X1),X1),sK29(X0,X1)) = X0
| sz00 = X1
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_134])]) ).
fof(f1282,plain,
( ! [X2,X3,X0,X1,X4] :
( sz00 = sK26(X0,X1,X2,X3)
| sdtpldt0(sdtasdt0(sK28(X4,sK26(X0,X1,X2,X3)),sK26(X0,X1,X2,X3)),sK29(X4,sK26(X0,X1,X2,X3))) = X4
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ sP6(X0,X1) )
| ~ spl32_101
| ~ spl32_134 ),
inference(resolution,[],[f1256,f1026]) ).
fof(f1026,plain,
( ! [X2,X3,X0,X1] :
( aElement0(sK26(X0,X1,X2,X3))
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ sP6(X0,X1) )
| ~ spl32_101 ),
inference(avatar_component_clause,[],[f1025]) ).
fof(f1256,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| sz00 = X1
| sdtpldt0(sdtasdt0(sK28(X0,X1),X1),sK29(X0,X1)) = X0
| ~ aElement0(X0) )
| ~ spl32_134 ),
inference(avatar_component_clause,[],[f1255]) ).
fof(f9318,plain,
( spl32_541
| ~ spl32_101
| ~ spl32_139 ),
inference(avatar_split_clause,[],[f1357,f1320,f1025,f9316]) ).
fof(f9316,plain,
( spl32_541
<=> ! [X3,X4,X0,X5,X2,X1] :
( sdtasdt0(sdtpldt0(X0,sK26(X1,X2,X3,X4)),X5) = sdtpldt0(sdtasdt0(X0,X5),sdtasdt0(sK26(X1,X2,X3,X4),X5))
| ~ aElement0(X0)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ sP6(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_541])]) ).
fof(f1320,plain,
( spl32_139
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_139])]) ).
fof(f1357,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( sdtasdt0(sdtpldt0(X0,sK26(X1,X2,X3,X4)),X5) = sdtpldt0(sdtasdt0(X0,X5),sdtasdt0(sK26(X1,X2,X3,X4),X5))
| ~ aElement0(X0)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ sP6(X1,X2) )
| ~ spl32_101
| ~ spl32_139 ),
inference(resolution,[],[f1321,f1026]) ).
fof(f1321,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X2)
| sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl32_139 ),
inference(avatar_component_clause,[],[f1320]) ).
fof(f9314,plain,
( spl32_540
| ~ spl32_101
| ~ spl32_138 ),
inference(avatar_split_clause,[],[f1340,f1316,f1025,f9312]) ).
fof(f9312,plain,
( spl32_540
<=> ! [X3,X4,X0,X5,X2,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sK26(X2,X3,X4,X5))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK26(X2,X3,X4,X5)))
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ sP6(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_540])]) ).
fof(f1316,plain,
( spl32_138
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_138])]) ).
fof(f1340,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( sdtasdt0(X0,sdtpldt0(X1,sK26(X2,X3,X4,X5))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK26(X2,X3,X4,X5)))
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ sP6(X2,X3) )
| ~ spl32_101
| ~ spl32_138 ),
inference(resolution,[],[f1317,f1026]) ).
fof(f1317,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X2)
| sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl32_138 ),
inference(avatar_component_clause,[],[f1316]) ).
fof(f9224,plain,
( spl32_539
| ~ spl32_92
| ~ spl32_134 ),
inference(avatar_split_clause,[],[f1286,f1255,f902,f9222]) ).
fof(f9222,plain,
( spl32_539
<=> ! [X2,X0,X1] :
( sz00 = sK30(X0,X1)
| sdtpldt0(sdtasdt0(sK28(X2,sK30(X0,X1)),sK30(X0,X1)),sK29(X2,sK30(X0,X1))) = X2
| ~ aElement0(X2)
| ~ doDivides0(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_539])]) ).
fof(f902,plain,
( spl32_92
<=> ! [X0,X1] :
( aElement0(sK30(X0,X1))
| ~ doDivides0(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_92])]) ).
fof(f1286,plain,
( ! [X2,X0,X1] :
( sz00 = sK30(X0,X1)
| sdtpldt0(sdtasdt0(sK28(X2,sK30(X0,X1)),sK30(X0,X1)),sK29(X2,sK30(X0,X1))) = X2
| ~ aElement0(X2)
| ~ doDivides0(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl32_92
| ~ spl32_134 ),
inference(resolution,[],[f1256,f903]) ).
fof(f903,plain,
( ! [X0,X1] :
( aElement0(sK30(X0,X1))
| ~ doDivides0(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl32_92 ),
inference(avatar_component_clause,[],[f902]) ).
fof(f9220,plain,
( spl32_538
| ~ spl32_87
| ~ spl32_134 ),
inference(avatar_split_clause,[],[f1285,f1255,f882,f9218]) ).
fof(f9218,plain,
( spl32_538
<=> ! [X2,X0,X1] :
( sz00 = sK29(X0,X1)
| sdtpldt0(sdtasdt0(sK28(X2,sK29(X0,X1)),sK29(X0,X1)),sK29(X2,sK29(X0,X1))) = X2
| ~ aElement0(X2)
| sz00 = X1
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_538])]) ).
fof(f882,plain,
( spl32_87
<=> ! [X0,X1] :
( aElement0(sK29(X0,X1))
| sz00 = X1
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_87])]) ).
fof(f1285,plain,
( ! [X2,X0,X1] :
( sz00 = sK29(X0,X1)
| sdtpldt0(sdtasdt0(sK28(X2,sK29(X0,X1)),sK29(X0,X1)),sK29(X2,sK29(X0,X1))) = X2
| ~ aElement0(X2)
| sz00 = X1
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl32_87
| ~ spl32_134 ),
inference(resolution,[],[f1256,f883]) ).
fof(f883,plain,
( ! [X0,X1] :
( aElement0(sK29(X0,X1))
| sz00 = X1
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl32_87 ),
inference(avatar_component_clause,[],[f882]) ).
fof(f9216,plain,
( spl32_537
| ~ spl32_86
| ~ spl32_134 ),
inference(avatar_split_clause,[],[f1284,f1255,f878,f9214]) ).
fof(f9214,plain,
( spl32_537
<=> ! [X2,X0,X1] :
( sz00 = sK28(X0,X1)
| sdtpldt0(sdtasdt0(sK28(X2,sK28(X0,X1)),sK28(X0,X1)),sK29(X2,sK28(X0,X1))) = X2
| ~ aElement0(X2)
| sz00 = X1
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_537])]) ).
fof(f878,plain,
( spl32_86
<=> ! [X0,X1] :
( aElement0(sK28(X0,X1))
| sz00 = X1
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_86])]) ).
fof(f1284,plain,
( ! [X2,X0,X1] :
( sz00 = sK28(X0,X1)
| sdtpldt0(sdtasdt0(sK28(X2,sK28(X0,X1)),sK28(X0,X1)),sK29(X2,sK28(X0,X1))) = X2
| ~ aElement0(X2)
| sz00 = X1
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl32_86
| ~ spl32_134 ),
inference(resolution,[],[f1256,f879]) ).
fof(f879,plain,
( ! [X0,X1] :
( aElement0(sK28(X0,X1))
| sz00 = X1
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl32_86 ),
inference(avatar_component_clause,[],[f878]) ).
fof(f9212,plain,
( spl32_536
| ~ spl32_85
| ~ spl32_134 ),
inference(avatar_split_clause,[],[f1283,f1255,f874,f9210]) ).
fof(f9210,plain,
( spl32_536
<=> ! [X2,X0,X1] :
( sz00 = sK27(X0,X1)
| sdtpldt0(sdtasdt0(sK28(X2,sK27(X0,X1)),sK27(X0,X1)),sK29(X2,sK27(X0,X1))) = X2
| ~ aElement0(X2)
| sP6(X1,X0)
| ~ aIdeal0(X1)
| ~ aIdeal0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_536])]) ).
fof(f874,plain,
( spl32_85
<=> ! [X0,X1] :
( sP6(X1,X0)
| aElement0(sK27(X0,X1))
| ~ aIdeal0(X1)
| ~ aIdeal0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_85])]) ).
fof(f1283,plain,
( ! [X2,X0,X1] :
( sz00 = sK27(X0,X1)
| sdtpldt0(sdtasdt0(sK28(X2,sK27(X0,X1)),sK27(X0,X1)),sK29(X2,sK27(X0,X1))) = X2
| ~ aElement0(X2)
| sP6(X1,X0)
| ~ aIdeal0(X1)
| ~ aIdeal0(X0) )
| ~ spl32_85
| ~ spl32_134 ),
inference(resolution,[],[f1256,f875]) ).
fof(f875,plain,
( ! [X0,X1] :
( aElement0(sK27(X0,X1))
| sP6(X1,X0)
| ~ aIdeal0(X1)
| ~ aIdeal0(X0) )
| ~ spl32_85 ),
inference(avatar_component_clause,[],[f874]) ).
fof(f9188,plain,
( spl32_535
| ~ spl32_101
| ~ spl32_129 ),
inference(avatar_split_clause,[],[f1237,f1189,f1025,f9186]) ).
fof(f9186,plain,
( spl32_535
<=> ! [X3,X4,X0,X5,X2,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sK26(X2,X3,X4,X5)) = sdtasdt0(X0,sdtasdt0(X1,sK26(X2,X3,X4,X5)))
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ sP6(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_535])]) ).
fof(f1189,plain,
( spl32_129
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_129])]) ).
fof(f1237,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( sdtasdt0(sdtasdt0(X0,X1),sK26(X2,X3,X4,X5)) = sdtasdt0(X0,sdtasdt0(X1,sK26(X2,X3,X4,X5)))
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ sP6(X2,X3) )
| ~ spl32_101
| ~ spl32_129 ),
inference(resolution,[],[f1190,f1026]) ).
fof(f1190,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X2)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl32_129 ),
inference(avatar_component_clause,[],[f1189]) ).
fof(f9184,plain,
( spl32_534
| ~ spl32_101
| ~ spl32_128 ),
inference(avatar_split_clause,[],[f1221,f1185,f1025,f9182]) ).
fof(f9182,plain,
( spl32_534
<=> ! [X3,X4,X0,X5,X2,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sK26(X2,X3,X4,X5)) = sdtpldt0(X0,sdtpldt0(X1,sK26(X2,X3,X4,X5)))
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ sP6(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_534])]) ).
fof(f1185,plain,
( spl32_128
<=> ! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_128])]) ).
fof(f1221,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( sdtpldt0(sdtpldt0(X0,X1),sK26(X2,X3,X4,X5)) = sdtpldt0(X0,sdtpldt0(X1,sK26(X2,X3,X4,X5)))
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ sP6(X2,X3) )
| ~ spl32_101
| ~ spl32_128 ),
inference(resolution,[],[f1186,f1026]) ).
fof(f1186,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X2)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl32_128 ),
inference(avatar_component_clause,[],[f1185]) ).
fof(f8967,plain,
( spl32_533
| ~ spl32_92
| ~ spl32_139 ),
inference(avatar_split_clause,[],[f1361,f1320,f902,f8965]) ).
fof(f8965,plain,
( spl32_533
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(sdtpldt0(X0,sK30(X1,X2)),X3) = sdtpldt0(sdtasdt0(X0,X3),sdtasdt0(sK30(X1,X2),X3))
| ~ aElement0(X0)
| ~ aElement0(X3)
| ~ doDivides0(X1,X2)
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_533])]) ).
fof(f1361,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(sdtpldt0(X0,sK30(X1,X2)),X3) = sdtpldt0(sdtasdt0(X0,X3),sdtasdt0(sK30(X1,X2),X3))
| ~ aElement0(X0)
| ~ aElement0(X3)
| ~ doDivides0(X1,X2)
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl32_92
| ~ spl32_139 ),
inference(resolution,[],[f1321,f903]) ).
fof(f8963,plain,
( spl32_532
| ~ spl32_87
| ~ spl32_139 ),
inference(avatar_split_clause,[],[f1360,f1320,f882,f8961]) ).
fof(f8961,plain,
( spl32_532
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(sdtpldt0(X0,sK29(X1,X2)),X3) = sdtpldt0(sdtasdt0(X0,X3),sdtasdt0(sK29(X1,X2),X3))
| ~ aElement0(X0)
| ~ aElement0(X3)
| sz00 = X2
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_532])]) ).
fof(f1360,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(sdtpldt0(X0,sK29(X1,X2)),X3) = sdtpldt0(sdtasdt0(X0,X3),sdtasdt0(sK29(X1,X2),X3))
| ~ aElement0(X0)
| ~ aElement0(X3)
| sz00 = X2
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl32_87
| ~ spl32_139 ),
inference(resolution,[],[f1321,f883]) ).
fof(f8959,plain,
( spl32_531
| ~ spl32_48
| ~ spl32_293 ),
inference(avatar_split_clause,[],[f3462,f3303,f568,f8956]) ).
fof(f8956,plain,
( spl32_531
<=> xc = sdtasdt0(sz10,xc) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_531])]) ).
fof(f568,plain,
( spl32_48
<=> ! [X0] :
( sdtasdt0(sz10,X0) = X0
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_48])]) ).
fof(f3303,plain,
( spl32_293
<=> aElement0(xc) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_293])]) ).
fof(f3462,plain,
( xc = sdtasdt0(sz10,xc)
| ~ spl32_48
| ~ spl32_293 ),
inference(resolution,[],[f3305,f569]) ).
fof(f569,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(sz10,X0) = X0 )
| ~ spl32_48 ),
inference(avatar_component_clause,[],[f568]) ).
fof(f3305,plain,
( aElement0(xc)
| ~ spl32_293 ),
inference(avatar_component_clause,[],[f3303]) ).
fof(f8954,plain,
( spl32_530
| ~ spl32_86
| ~ spl32_139 ),
inference(avatar_split_clause,[],[f1359,f1320,f878,f8952]) ).
fof(f8952,plain,
( spl32_530
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(sdtpldt0(X0,sK28(X1,X2)),X3) = sdtpldt0(sdtasdt0(X0,X3),sdtasdt0(sK28(X1,X2),X3))
| ~ aElement0(X0)
| ~ aElement0(X3)
| sz00 = X2
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_530])]) ).
fof(f1359,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(sdtpldt0(X0,sK28(X1,X2)),X3) = sdtpldt0(sdtasdt0(X0,X3),sdtasdt0(sK28(X1,X2),X3))
| ~ aElement0(X0)
| ~ aElement0(X3)
| sz00 = X2
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl32_86
| ~ spl32_139 ),
inference(resolution,[],[f1321,f879]) ).
fof(f8950,plain,
( spl32_529
| ~ spl32_85
| ~ spl32_139 ),
inference(avatar_split_clause,[],[f1358,f1320,f874,f8948]) ).
fof(f8948,plain,
( spl32_529
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(sdtpldt0(X0,sK27(X1,X2)),X3) = sdtpldt0(sdtasdt0(X0,X3),sdtasdt0(sK27(X1,X2),X3))
| ~ aElement0(X0)
| ~ aElement0(X3)
| sP6(X2,X1)
| ~ aIdeal0(X2)
| ~ aIdeal0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_529])]) ).
fof(f1358,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(sdtpldt0(X0,sK27(X1,X2)),X3) = sdtpldt0(sdtasdt0(X0,X3),sdtasdt0(sK27(X1,X2),X3))
| ~ aElement0(X0)
| ~ aElement0(X3)
| sP6(X2,X1)
| ~ aIdeal0(X2)
| ~ aIdeal0(X1) )
| ~ spl32_85
| ~ spl32_139 ),
inference(resolution,[],[f1321,f875]) ).
fof(f8946,plain,
( spl32_528
| ~ spl32_92
| ~ spl32_138 ),
inference(avatar_split_clause,[],[f1344,f1316,f902,f8944]) ).
fof(f8944,plain,
( spl32_528
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sK30(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK30(X2,X3)))
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ doDivides0(X2,X3)
| ~ aElement0(X3)
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_528])]) ).
fof(f1344,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sK30(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK30(X2,X3)))
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ doDivides0(X2,X3)
| ~ aElement0(X3)
| ~ aElement0(X2) )
| ~ spl32_92
| ~ spl32_138 ),
inference(resolution,[],[f1317,f903]) ).
fof(f8942,plain,
( spl32_527
| ~ spl32_87
| ~ spl32_138 ),
inference(avatar_split_clause,[],[f1343,f1316,f882,f8940]) ).
fof(f8940,plain,
( spl32_527
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sK29(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK29(X2,X3)))
| ~ aElement0(X1)
| ~ aElement0(X0)
| sz00 = X3
| ~ aElement0(X3)
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_527])]) ).
fof(f1343,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sK29(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK29(X2,X3)))
| ~ aElement0(X1)
| ~ aElement0(X0)
| sz00 = X3
| ~ aElement0(X3)
| ~ aElement0(X2) )
| ~ spl32_87
| ~ spl32_138 ),
inference(resolution,[],[f1317,f883]) ).
fof(f8938,plain,
( spl32_526
| ~ spl32_86
| ~ spl32_138 ),
inference(avatar_split_clause,[],[f1342,f1316,f878,f8936]) ).
fof(f8936,plain,
( spl32_526
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sK28(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK28(X2,X3)))
| ~ aElement0(X1)
| ~ aElement0(X0)
| sz00 = X3
| ~ aElement0(X3)
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_526])]) ).
fof(f1342,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sK28(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK28(X2,X3)))
| ~ aElement0(X1)
| ~ aElement0(X0)
| sz00 = X3
| ~ aElement0(X3)
| ~ aElement0(X2) )
| ~ spl32_86
| ~ spl32_138 ),
inference(resolution,[],[f1317,f879]) ).
fof(f8934,plain,
( spl32_525
| ~ spl32_85
| ~ spl32_138 ),
inference(avatar_split_clause,[],[f1341,f1316,f874,f8932]) ).
fof(f8932,plain,
( spl32_525
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sK27(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK27(X2,X3)))
| ~ aElement0(X1)
| ~ aElement0(X0)
| sP6(X3,X2)
| ~ aIdeal0(X3)
| ~ aIdeal0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_525])]) ).
fof(f1341,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sK27(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK27(X2,X3)))
| ~ aElement0(X1)
| ~ aElement0(X0)
| sP6(X3,X2)
| ~ aIdeal0(X3)
| ~ aIdeal0(X2) )
| ~ spl32_85
| ~ spl32_138 ),
inference(resolution,[],[f1317,f875]) ).
fof(f8930,plain,
( spl32_524
| ~ spl32_68
| ~ spl32_134 ),
inference(avatar_split_clause,[],[f1275,f1255,f715,f8928]) ).
fof(f8928,plain,
( spl32_524
<=> ! [X2,X0,X1] :
( sz00 = sdtasdt0(X0,X1)
| sdtpldt0(sdtasdt0(sK28(X2,sdtasdt0(X0,X1)),sdtasdt0(X0,X1)),sK29(X2,sdtasdt0(X0,X1))) = X2
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_524])]) ).
fof(f715,plain,
( spl32_68
<=> ! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_68])]) ).
fof(f1275,plain,
( ! [X2,X0,X1] :
( sz00 = sdtasdt0(X0,X1)
| sdtpldt0(sdtasdt0(sK28(X2,sdtasdt0(X0,X1)),sdtasdt0(X0,X1)),sK29(X2,sdtasdt0(X0,X1))) = X2
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl32_68
| ~ spl32_134 ),
inference(resolution,[],[f1256,f716]) ).
fof(f716,plain,
( ! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl32_68 ),
inference(avatar_component_clause,[],[f715]) ).
fof(f8926,plain,
( spl32_523
| ~ spl32_67
| ~ spl32_134 ),
inference(avatar_split_clause,[],[f1274,f1255,f711,f8924]) ).
fof(f8924,plain,
( spl32_523
<=> ! [X2,X0,X1] :
( sz00 = sdtpldt0(X0,X1)
| sdtpldt0(sdtasdt0(sK28(X2,sdtpldt0(X0,X1)),sdtpldt0(X0,X1)),sK29(X2,sdtpldt0(X0,X1))) = X2
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_523])]) ).
fof(f711,plain,
( spl32_67
<=> ! [X0,X1] :
( aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_67])]) ).
fof(f1274,plain,
( ! [X2,X0,X1] :
( sz00 = sdtpldt0(X0,X1)
| sdtpldt0(sdtasdt0(sK28(X2,sdtpldt0(X0,X1)),sdtpldt0(X0,X1)),sK29(X2,sdtpldt0(X0,X1))) = X2
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl32_67
| ~ spl32_134 ),
inference(resolution,[],[f1256,f712]) ).
fof(f712,plain,
( ! [X0,X1] :
( aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl32_67 ),
inference(avatar_component_clause,[],[f711]) ).
fof(f8907,plain,
( spl32_522
| ~ spl32_47
| ~ spl32_293 ),
inference(avatar_split_clause,[],[f3461,f3303,f564,f8904]) ).
fof(f8904,plain,
( spl32_522
<=> xc = sdtasdt0(xc,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_522])]) ).
fof(f564,plain,
( spl32_47
<=> ! [X0] :
( sdtasdt0(X0,sz10) = X0
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_47])]) ).
fof(f3461,plain,
( xc = sdtasdt0(xc,sz10)
| ~ spl32_47
| ~ spl32_293 ),
inference(resolution,[],[f3305,f565]) ).
fof(f565,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(X0,sz10) = X0 )
| ~ spl32_47 ),
inference(avatar_component_clause,[],[f564]) ).
fof(f8769,plain,
( spl32_521
| ~ spl32_61
| ~ spl32_142 ),
inference(avatar_split_clause,[],[f1385,f1372,f686,f8767]) ).
fof(f8767,plain,
( spl32_521
<=> ! [X2,X0,X1] :
( sK21(X0,X1,X2) = sdtpldt0(sK22(X0,X1,X2),sK23(X0,X1,X2))
| sP5(X0,X1,X2)
| sP2(X2,sK21(X0,X1,X2))
| ~ aIdeal0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_521])]) ).
fof(f686,plain,
( spl32_61
<=> ! [X2,X0] :
( sP2(X0,X2)
| ~ aElementOf0(X2,X0)
| ~ aIdeal0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_61])]) ).
fof(f1372,plain,
( spl32_142
<=> ! [X2,X0,X1] :
( sP5(X0,X1,X2)
| sK21(X0,X1,X2) = sdtpldt0(sK22(X0,X1,X2),sK23(X0,X1,X2))
| aElementOf0(sK21(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_142])]) ).
fof(f1385,plain,
( ! [X2,X0,X1] :
( sK21(X0,X1,X2) = sdtpldt0(sK22(X0,X1,X2),sK23(X0,X1,X2))
| sP5(X0,X1,X2)
| sP2(X2,sK21(X0,X1,X2))
| ~ aIdeal0(X2) )
| ~ spl32_61
| ~ spl32_142 ),
inference(resolution,[],[f1373,f687]) ).
fof(f687,plain,
( ! [X2,X0] :
( ~ aElementOf0(X2,X0)
| sP2(X0,X2)
| ~ aIdeal0(X0) )
| ~ spl32_61 ),
inference(avatar_component_clause,[],[f686]) ).
fof(f1373,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK21(X0,X1,X2),X2)
| sK21(X0,X1,X2) = sdtpldt0(sK22(X0,X1,X2),sK23(X0,X1,X2))
| sP5(X0,X1,X2) )
| ~ spl32_142 ),
inference(avatar_component_clause,[],[f1372]) ).
fof(f8765,plain,
( spl32_520
| ~ spl32_92
| ~ spl32_129 ),
inference(avatar_split_clause,[],[f1241,f1189,f902,f8763]) ).
fof(f8763,plain,
( spl32_520
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sK30(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sK30(X2,X3)))
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ doDivides0(X2,X3)
| ~ aElement0(X3)
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_520])]) ).
fof(f1241,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sK30(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sK30(X2,X3)))
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ doDivides0(X2,X3)
| ~ aElement0(X3)
| ~ aElement0(X2) )
| ~ spl32_92
| ~ spl32_129 ),
inference(resolution,[],[f1190,f903]) ).
fof(f8761,plain,
( spl32_519
| ~ spl32_87
| ~ spl32_129 ),
inference(avatar_split_clause,[],[f1240,f1189,f882,f8759]) ).
fof(f8759,plain,
( spl32_519
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sK29(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sK29(X2,X3)))
| ~ aElement0(X1)
| ~ aElement0(X0)
| sz00 = X3
| ~ aElement0(X3)
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_519])]) ).
fof(f1240,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sK29(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sK29(X2,X3)))
| ~ aElement0(X1)
| ~ aElement0(X0)
| sz00 = X3
| ~ aElement0(X3)
| ~ aElement0(X2) )
| ~ spl32_87
| ~ spl32_129 ),
inference(resolution,[],[f1190,f883]) ).
fof(f8757,plain,
( spl32_518
| ~ spl32_46
| ~ spl32_293 ),
inference(avatar_split_clause,[],[f3460,f3303,f560,f8754]) ).
fof(f8754,plain,
( spl32_518
<=> xc = sdtpldt0(sz00,xc) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_518])]) ).
fof(f560,plain,
( spl32_46
<=> ! [X0] :
( sdtpldt0(sz00,X0) = X0
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_46])]) ).
fof(f3460,plain,
( xc = sdtpldt0(sz00,xc)
| ~ spl32_46
| ~ spl32_293 ),
inference(resolution,[],[f3305,f561]) ).
fof(f561,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtpldt0(sz00,X0) = X0 )
| ~ spl32_46 ),
inference(avatar_component_clause,[],[f560]) ).
fof(f8752,plain,
( spl32_517
| ~ spl32_86
| ~ spl32_129 ),
inference(avatar_split_clause,[],[f1239,f1189,f878,f8750]) ).
fof(f8750,plain,
( spl32_517
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sK28(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sK28(X2,X3)))
| ~ aElement0(X1)
| ~ aElement0(X0)
| sz00 = X3
| ~ aElement0(X3)
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_517])]) ).
fof(f1239,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sK28(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sK28(X2,X3)))
| ~ aElement0(X1)
| ~ aElement0(X0)
| sz00 = X3
| ~ aElement0(X3)
| ~ aElement0(X2) )
| ~ spl32_86
| ~ spl32_129 ),
inference(resolution,[],[f1190,f879]) ).
fof(f8748,plain,
( spl32_516
| ~ spl32_85
| ~ spl32_129 ),
inference(avatar_split_clause,[],[f1238,f1189,f874,f8746]) ).
fof(f8746,plain,
( spl32_516
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sK27(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sK27(X2,X3)))
| ~ aElement0(X1)
| ~ aElement0(X0)
| sP6(X3,X2)
| ~ aIdeal0(X3)
| ~ aIdeal0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_516])]) ).
fof(f1238,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sK27(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sK27(X2,X3)))
| ~ aElement0(X1)
| ~ aElement0(X0)
| sP6(X3,X2)
| ~ aIdeal0(X3)
| ~ aIdeal0(X2) )
| ~ spl32_85
| ~ spl32_129 ),
inference(resolution,[],[f1190,f875]) ).
fof(f8744,plain,
( spl32_515
| ~ spl32_92
| ~ spl32_128 ),
inference(avatar_split_clause,[],[f1225,f1185,f902,f8742]) ).
fof(f8742,plain,
( spl32_515
<=> ! [X0,X3,X2,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sK30(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sK30(X2,X3)))
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ doDivides0(X2,X3)
| ~ aElement0(X3)
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_515])]) ).
fof(f1225,plain,
( ! [X2,X3,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sK30(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sK30(X2,X3)))
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ doDivides0(X2,X3)
| ~ aElement0(X3)
| ~ aElement0(X2) )
| ~ spl32_92
| ~ spl32_128 ),
inference(resolution,[],[f1186,f903]) ).
fof(f8740,plain,
( spl32_514
| ~ spl32_87
| ~ spl32_128 ),
inference(avatar_split_clause,[],[f1224,f1185,f882,f8738]) ).
fof(f8738,plain,
( spl32_514
<=> ! [X0,X3,X2,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sK29(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sK29(X2,X3)))
| ~ aElement0(X1)
| ~ aElement0(X0)
| sz00 = X3
| ~ aElement0(X3)
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_514])]) ).
fof(f1224,plain,
( ! [X2,X3,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sK29(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sK29(X2,X3)))
| ~ aElement0(X1)
| ~ aElement0(X0)
| sz00 = X3
| ~ aElement0(X3)
| ~ aElement0(X2) )
| ~ spl32_87
| ~ spl32_128 ),
inference(resolution,[],[f1186,f883]) ).
fof(f8736,plain,
( spl32_513
| ~ spl32_86
| ~ spl32_128 ),
inference(avatar_split_clause,[],[f1223,f1185,f878,f8734]) ).
fof(f8734,plain,
( spl32_513
<=> ! [X0,X3,X2,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sK28(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sK28(X2,X3)))
| ~ aElement0(X1)
| ~ aElement0(X0)
| sz00 = X3
| ~ aElement0(X3)
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_513])]) ).
fof(f1223,plain,
( ! [X2,X3,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sK28(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sK28(X2,X3)))
| ~ aElement0(X1)
| ~ aElement0(X0)
| sz00 = X3
| ~ aElement0(X3)
| ~ aElement0(X2) )
| ~ spl32_86
| ~ spl32_128 ),
inference(resolution,[],[f1186,f879]) ).
fof(f8732,plain,
( spl32_512
| ~ spl32_85
| ~ spl32_128 ),
inference(avatar_split_clause,[],[f1222,f1185,f874,f8730]) ).
fof(f8730,plain,
( spl32_512
<=> ! [X0,X3,X2,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sK27(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sK27(X2,X3)))
| ~ aElement0(X1)
| ~ aElement0(X0)
| sP6(X3,X2)
| ~ aIdeal0(X3)
| ~ aIdeal0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_512])]) ).
fof(f1222,plain,
( ! [X2,X3,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sK27(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sK27(X2,X3)))
| ~ aElement0(X1)
| ~ aElement0(X0)
| sP6(X3,X2)
| ~ aIdeal0(X3)
| ~ aIdeal0(X2) )
| ~ spl32_85
| ~ spl32_128 ),
inference(resolution,[],[f1186,f875]) ).
fof(f8504,plain,
( spl32_511
| ~ spl32_45
| ~ spl32_293 ),
inference(avatar_split_clause,[],[f3459,f3303,f556,f8501]) ).
fof(f8501,plain,
( spl32_511
<=> xc = sdtpldt0(xc,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_511])]) ).
fof(f556,plain,
( spl32_45
<=> ! [X0] :
( sdtpldt0(X0,sz00) = X0
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_45])]) ).
fof(f3459,plain,
( xc = sdtpldt0(xc,sz00)
| ~ spl32_45
| ~ spl32_293 ),
inference(resolution,[],[f3305,f557]) ).
fof(f557,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtpldt0(X0,sz00) = X0 )
| ~ spl32_45 ),
inference(avatar_component_clause,[],[f556]) ).
fof(f8473,plain,
( spl32_510
| ~ spl32_41
| ~ spl32_142 ),
inference(avatar_split_clause,[],[f1386,f1372,f539,f8471]) ).
fof(f8471,plain,
( spl32_510
<=> ! [X2,X0,X1] :
( sK21(X0,X1,X2) = sdtpldt0(sK22(X0,X1,X2),sK23(X0,X1,X2))
| sP5(X0,X1,X2)
| aElement0(sK21(X0,X1,X2))
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_510])]) ).
fof(f539,plain,
( spl32_41
<=> ! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_41])]) ).
fof(f1386,plain,
( ! [X2,X0,X1] :
( sK21(X0,X1,X2) = sdtpldt0(sK22(X0,X1,X2),sK23(X0,X1,X2))
| sP5(X0,X1,X2)
| aElement0(sK21(X0,X1,X2))
| ~ aSet0(X2) )
| ~ spl32_41
| ~ spl32_142 ),
inference(resolution,[],[f1373,f540]) ).
fof(f540,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1)
| ~ aSet0(X0) )
| ~ spl32_41 ),
inference(avatar_component_clause,[],[f539]) ).
fof(f8469,plain,
( spl32_509
| ~ spl32_68
| ~ spl32_139 ),
inference(avatar_split_clause,[],[f1349,f1320,f715,f8467]) ).
fof(f8467,plain,
( spl32_509
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(X1,X2)),X3) = sdtpldt0(sdtasdt0(X0,X3),sdtasdt0(sdtasdt0(X1,X2),X3))
| ~ aElement0(X0)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_509])]) ).
fof(f1349,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(X1,X2)),X3) = sdtpldt0(sdtasdt0(X0,X3),sdtasdt0(sdtasdt0(X1,X2),X3))
| ~ aElement0(X0)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl32_68
| ~ spl32_139 ),
inference(resolution,[],[f1321,f716]) ).
fof(f8465,plain,
( spl32_508
| ~ spl32_67
| ~ spl32_139 ),
inference(avatar_split_clause,[],[f1348,f1320,f711,f8463]) ).
fof(f8463,plain,
( spl32_508
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(sdtpldt0(X0,sdtpldt0(X1,X2)),X3) = sdtpldt0(sdtasdt0(X0,X3),sdtasdt0(sdtpldt0(X1,X2),X3))
| ~ aElement0(X0)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_508])]) ).
fof(f1348,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(sdtpldt0(X0,sdtpldt0(X1,X2)),X3) = sdtpldt0(sdtasdt0(X0,X3),sdtasdt0(sdtpldt0(X1,X2),X3))
| ~ aElement0(X0)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl32_67
| ~ spl32_139 ),
inference(resolution,[],[f1321,f712]) ).
fof(f8461,plain,
( spl32_507
| ~ spl32_68
| ~ spl32_138 ),
inference(avatar_split_clause,[],[f1332,f1316,f715,f8459]) ).
fof(f8459,plain,
( spl32_507
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(X2,X3)))
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X3)
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_507])]) ).
fof(f1332,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(X2,X3)))
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X3)
| ~ aElement0(X2) )
| ~ spl32_68
| ~ spl32_138 ),
inference(resolution,[],[f1317,f716]) ).
fof(f8457,plain,
( spl32_506
| ~ spl32_67
| ~ spl32_138 ),
inference(avatar_split_clause,[],[f1331,f1316,f711,f8455]) ).
fof(f8455,plain,
( spl32_506
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(X2,X3)))
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X3)
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_506])]) ).
fof(f1331,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(X2,X3)))
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X3)
| ~ aElement0(X2) )
| ~ spl32_67
| ~ spl32_138 ),
inference(resolution,[],[f1317,f712]) ).
fof(f8433,plain,
( spl32_505
| ~ spl32_89
| ~ spl32_101 ),
inference(avatar_split_clause,[],[f1052,f1025,f890,f8431]) ).
fof(f8431,plain,
( spl32_505
<=> ! [X4,X0,X3,X2,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| ~ sP6(X2,X3)
| sdtasdt0(X4,sK26(X2,X3,X1,X0)) = sdtasdt0(sK26(X2,X3,X1,X0),X4)
| ~ aElement0(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_505])]) ).
fof(f890,plain,
( spl32_89
<=> ! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_89])]) ).
fof(f1052,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| ~ sP6(X2,X3)
| sdtasdt0(X4,sK26(X2,X3,X1,X0)) = sdtasdt0(sK26(X2,X3,X1,X0),X4)
| ~ aElement0(X4) )
| ~ spl32_89
| ~ spl32_101 ),
inference(resolution,[],[f1026,f891]) ).
fof(f891,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aElement0(X0) )
| ~ spl32_89 ),
inference(avatar_component_clause,[],[f890]) ).
fof(f8429,plain,
( spl32_504
| ~ spl32_88
| ~ spl32_101 ),
inference(avatar_split_clause,[],[f1051,f1025,f886,f8427]) ).
fof(f8427,plain,
( spl32_504
<=> ! [X4,X0,X3,X2,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| ~ sP6(X2,X3)
| sdtpldt0(X4,sK26(X2,X3,X1,X0)) = sdtpldt0(sK26(X2,X3,X1,X0),X4)
| ~ aElement0(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_504])]) ).
fof(f886,plain,
( spl32_88
<=> ! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_88])]) ).
fof(f1051,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| ~ sP6(X2,X3)
| sdtpldt0(X4,sK26(X2,X3,X1,X0)) = sdtpldt0(sK26(X2,X3,X1,X0),X4)
| ~ aElement0(X4) )
| ~ spl32_88
| ~ spl32_101 ),
inference(resolution,[],[f1026,f887]) ).
fof(f887,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aElement0(X0) )
| ~ spl32_88 ),
inference(avatar_component_clause,[],[f886]) ).
fof(f8425,plain,
( spl32_503
| ~ spl32_44
| ~ spl32_293 ),
inference(avatar_split_clause,[],[f3458,f3303,f552,f8422]) ).
fof(f8422,plain,
( spl32_503
<=> sz00 = sdtasdt0(sz00,xc) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_503])]) ).
fof(f552,plain,
( spl32_44
<=> ! [X0] :
( sz00 = sdtasdt0(sz00,X0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_44])]) ).
fof(f3458,plain,
( sz00 = sdtasdt0(sz00,xc)
| ~ spl32_44
| ~ spl32_293 ),
inference(resolution,[],[f3305,f553]) ).
fof(f553,plain,
( ! [X0] :
( ~ aElement0(X0)
| sz00 = sdtasdt0(sz00,X0) )
| ~ spl32_44 ),
inference(avatar_component_clause,[],[f552]) ).
fof(f8316,plain,
( spl32_502
| ~ spl32_68
| ~ spl32_129 ),
inference(avatar_split_clause,[],[f1230,f1189,f715,f8314]) ).
fof(f8314,plain,
( spl32_502
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(X2,X3)))
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X3)
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_502])]) ).
fof(f1230,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(X2,X3)))
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X3)
| ~ aElement0(X2) )
| ~ spl32_68
| ~ spl32_129 ),
inference(resolution,[],[f1190,f716]) ).
fof(f8312,plain,
( spl32_501
| ~ spl32_67
| ~ spl32_129 ),
inference(avatar_split_clause,[],[f1229,f1189,f711,f8310]) ).
fof(f8310,plain,
( spl32_501
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(X2,X3)))
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X3)
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_501])]) ).
fof(f1229,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(X2,X3)))
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X3)
| ~ aElement0(X2) )
| ~ spl32_67
| ~ spl32_129 ),
inference(resolution,[],[f1190,f712]) ).
fof(f8308,plain,
( spl32_500
| ~ spl32_68
| ~ spl32_128 ),
inference(avatar_split_clause,[],[f1214,f1185,f715,f8306]) ).
fof(f8306,plain,
( spl32_500
<=> ! [X0,X3,X2,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(X2,X3)))
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X3)
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_500])]) ).
fof(f1214,plain,
( ! [X2,X3,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(X2,X3)))
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X3)
| ~ aElement0(X2) )
| ~ spl32_68
| ~ spl32_128 ),
inference(resolution,[],[f1186,f716]) ).
fof(f8304,plain,
( spl32_499
| ~ spl32_67
| ~ spl32_128 ),
inference(avatar_split_clause,[],[f1213,f1185,f711,f8302]) ).
fof(f8302,plain,
( spl32_499
<=> ! [X0,X3,X2,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(X2,X3)))
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X3)
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_499])]) ).
fof(f1213,plain,
( ! [X2,X3,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(X2,X3)))
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X3)
| ~ aElement0(X2) )
| ~ spl32_67
| ~ spl32_128 ),
inference(resolution,[],[f1186,f712]) ).
fof(f8300,plain,
( spl32_498
| ~ spl32_7
| ~ spl32_8
| ~ spl32_258
| ~ spl32_259
| ~ spl32_496 ),
inference(avatar_split_clause,[],[f8291,f8287,f2607,f2603,f371,f366,f8298]) ).
fof(f8298,plain,
( spl32_498
<=> ! [X2,X0,X1] :
( ~ aElementOf0(sdtasdt0(sK10,xa),X1)
| ~ aElementOf0(sdtasdt0(sK11,xb),X0)
| xu != sK21(X0,X1,X2)
| sP5(X0,X1,X2)
| ~ aElementOf0(xu,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_498])]) ).
fof(f2603,plain,
( spl32_258
<=> ! [X0] :
( sdtasdt0(xa,X0) = sdtasdt0(X0,xa)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_258])]) ).
fof(f2607,plain,
( spl32_259
<=> ! [X0] :
( sdtasdt0(X0,xb) = sdtasdt0(xb,X0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_259])]) ).
fof(f8287,plain,
( spl32_496
<=> ! [X2,X0,X1] :
( xu != sK21(X0,X1,X2)
| sP5(X0,X1,X2)
| ~ aElementOf0(sdtasdt0(xb,sK11),X0)
| ~ aElementOf0(sdtasdt0(xa,sK10),X1)
| ~ aElementOf0(xu,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_496])]) ).
fof(f8291,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(sdtasdt0(sK10,xa),X1)
| ~ aElementOf0(sdtasdt0(sK11,xb),X0)
| xu != sK21(X0,X1,X2)
| sP5(X0,X1,X2)
| ~ aElementOf0(xu,X2) )
| ~ spl32_7
| ~ spl32_8
| ~ spl32_258
| ~ spl32_259
| ~ spl32_496 ),
inference(forward_demodulation,[],[f8290,f2770]) ).
fof(f2770,plain,
( sdtasdt0(xa,sK10) = sdtasdt0(sK10,xa)
| ~ spl32_7
| ~ spl32_258 ),
inference(resolution,[],[f2604,f368]) ).
fof(f2604,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(xa,X0) = sdtasdt0(X0,xa) )
| ~ spl32_258 ),
inference(avatar_component_clause,[],[f2603]) ).
fof(f8290,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(sdtasdt0(sK11,xb),X0)
| xu != sK21(X0,X1,X2)
| sP5(X0,X1,X2)
| ~ aElementOf0(sdtasdt0(xa,sK10),X1)
| ~ aElementOf0(xu,X2) )
| ~ spl32_8
| ~ spl32_259
| ~ spl32_496 ),
inference(forward_demodulation,[],[f8288,f2793]) ).
fof(f2793,plain,
( sdtasdt0(xb,sK11) = sdtasdt0(sK11,xb)
| ~ spl32_8
| ~ spl32_259 ),
inference(resolution,[],[f2608,f373]) ).
fof(f2608,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(X0,xb) = sdtasdt0(xb,X0) )
| ~ spl32_259 ),
inference(avatar_component_clause,[],[f2607]) ).
fof(f8288,plain,
( ! [X2,X0,X1] :
( xu != sK21(X0,X1,X2)
| sP5(X0,X1,X2)
| ~ aElementOf0(sdtasdt0(xb,sK11),X0)
| ~ aElementOf0(sdtasdt0(xa,sK10),X1)
| ~ aElementOf0(xu,X2) )
| ~ spl32_496 ),
inference(avatar_component_clause,[],[f8287]) ).
fof(f8296,plain,
( spl32_497
| ~ spl32_42
| ~ spl32_293 ),
inference(avatar_split_clause,[],[f3457,f3303,f543,f8293]) ).
fof(f8293,plain,
( spl32_497
<=> sz00 = sdtasdt0(xc,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_497])]) ).
fof(f543,plain,
( spl32_42
<=> ! [X0] :
( sz00 = sdtasdt0(X0,sz00)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_42])]) ).
fof(f3457,plain,
( sz00 = sdtasdt0(xc,sz00)
| ~ spl32_42
| ~ spl32_293 ),
inference(resolution,[],[f3305,f544]) ).
fof(f544,plain,
( ! [X0] :
( ~ aElement0(X0)
| sz00 = sdtasdt0(X0,sz00) )
| ~ spl32_42 ),
inference(avatar_component_clause,[],[f543]) ).
fof(f8289,plain,
( spl32_496
| ~ spl32_71
| ~ spl32_143 ),
inference(avatar_split_clause,[],[f1391,f1376,f781,f8287]) ).
fof(f781,plain,
( spl32_71
<=> xu = sdtpldt0(sdtasdt0(xa,sK10),sdtasdt0(xb,sK11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_71])]) ).
fof(f1376,plain,
( spl32_143
<=> ! [X4,X0,X5,X2,X1] :
( sP5(X0,X1,X2)
| sdtpldt0(X4,X5) != sK21(X0,X1,X2)
| ~ aElementOf0(X5,X0)
| ~ aElementOf0(X4,X1)
| ~ aElementOf0(sK21(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_143])]) ).
fof(f1391,plain,
( ! [X2,X0,X1] :
( xu != sK21(X0,X1,X2)
| sP5(X0,X1,X2)
| ~ aElementOf0(sdtasdt0(xb,sK11),X0)
| ~ aElementOf0(sdtasdt0(xa,sK10),X1)
| ~ aElementOf0(xu,X2) )
| ~ spl32_71
| ~ spl32_143 ),
inference(inner_rewriting,[],[f1388]) ).
fof(f1388,plain,
( ! [X2,X0,X1] :
( xu != sK21(X0,X1,X2)
| sP5(X0,X1,X2)
| ~ aElementOf0(sdtasdt0(xb,sK11),X0)
| ~ aElementOf0(sdtasdt0(xa,sK10),X1)
| ~ aElementOf0(sK21(X0,X1,X2),X2) )
| ~ spl32_71
| ~ spl32_143 ),
inference(superposition,[],[f1377,f783]) ).
fof(f783,plain,
( xu = sdtpldt0(sdtasdt0(xa,sK10),sdtasdt0(xb,sK11))
| ~ spl32_71 ),
inference(avatar_component_clause,[],[f781]) ).
fof(f1377,plain,
( ! [X2,X0,X1,X4,X5] :
( sdtpldt0(X4,X5) != sK21(X0,X1,X2)
| sP5(X0,X1,X2)
| ~ aElementOf0(X5,X0)
| ~ aElementOf0(X4,X1)
| ~ aElementOf0(sK21(X0,X1,X2),X2) )
| ~ spl32_143 ),
inference(avatar_component_clause,[],[f1376]) ).
fof(f8239,plain,
( spl32_495
| ~ spl32_28
| ~ spl32_134 ),
inference(avatar_split_clause,[],[f1273,f1255,f477,f8237]) ).
fof(f8237,plain,
( spl32_495
<=> ! [X0,X1] :
( sz00 = smndt0(X0)
| sdtpldt0(sdtasdt0(sK28(X1,smndt0(X0)),smndt0(X0)),sK29(X1,smndt0(X0))) = X1
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_495])]) ).
fof(f477,plain,
( spl32_28
<=> ! [X0] :
( aElement0(smndt0(X0))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_28])]) ).
fof(f1273,plain,
( ! [X0,X1] :
( sz00 = smndt0(X0)
| sdtpldt0(sdtasdt0(sK28(X1,smndt0(X0)),smndt0(X0)),sK29(X1,smndt0(X0))) = X1
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl32_28
| ~ spl32_134 ),
inference(resolution,[],[f1256,f478]) ).
fof(f478,plain,
( ! [X0] :
( aElement0(smndt0(X0))
| ~ aElement0(X0) )
| ~ spl32_28 ),
inference(avatar_component_clause,[],[f477]) ).
fof(f8235,plain,
( spl32_494
| ~ spl32_73
| ~ spl32_101 ),
inference(avatar_split_clause,[],[f1050,f1025,f791,f8233]) ).
fof(f8233,plain,
( spl32_494
<=> ! [X0,X3,X2,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| ~ sP6(X2,X3)
| smndt0(sK26(X2,X3,X1,X0)) = sdtasdt0(sK26(X2,X3,X1,X0),smndt0(sz10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_494])]) ).
fof(f791,plain,
( spl32_73
<=> ! [X0] :
( smndt0(X0) = sdtasdt0(X0,smndt0(sz10))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_73])]) ).
fof(f1050,plain,
( ! [X2,X3,X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| ~ sP6(X2,X3)
| smndt0(sK26(X2,X3,X1,X0)) = sdtasdt0(sK26(X2,X3,X1,X0),smndt0(sz10)) )
| ~ spl32_73
| ~ spl32_101 ),
inference(resolution,[],[f1026,f792]) ).
fof(f792,plain,
( ! [X0] :
( ~ aElement0(X0)
| smndt0(X0) = sdtasdt0(X0,smndt0(sz10)) )
| ~ spl32_73 ),
inference(avatar_component_clause,[],[f791]) ).
fof(f8231,plain,
( spl32_493
| ~ spl32_72
| ~ spl32_101 ),
inference(avatar_split_clause,[],[f1049,f1025,f787,f8229]) ).
fof(f8229,plain,
( spl32_493
<=> ! [X0,X3,X2,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| ~ sP6(X2,X3)
| smndt0(sK26(X2,X3,X1,X0)) = sdtasdt0(smndt0(sz10),sK26(X2,X3,X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_493])]) ).
fof(f787,plain,
( spl32_72
<=> ! [X0] :
( smndt0(X0) = sdtasdt0(smndt0(sz10),X0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_72])]) ).
fof(f1049,plain,
( ! [X2,X3,X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| ~ sP6(X2,X3)
| smndt0(sK26(X2,X3,X1,X0)) = sdtasdt0(smndt0(sz10),sK26(X2,X3,X1,X0)) )
| ~ spl32_72
| ~ spl32_101 ),
inference(resolution,[],[f1026,f788]) ).
fof(f788,plain,
( ! [X0] :
( ~ aElement0(X0)
| smndt0(X0) = sdtasdt0(smndt0(sz10),X0) )
| ~ spl32_72 ),
inference(avatar_component_clause,[],[f787]) ).
fof(f8227,plain,
( spl32_492
| ~ spl32_56
| ~ spl32_143 ),
inference(avatar_split_clause,[],[f1392,f1376,f664,f8225]) ).
fof(f8225,plain,
( spl32_492
<=> ! [X2,X0,X1] :
( xr != sK21(X0,X1,X2)
| sP5(X0,X1,X2)
| ~ aElementOf0(xb,X0)
| ~ aElementOf0(smndt0(sdtasdt0(xq,xu)),X1)
| ~ aElementOf0(xr,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_492])]) ).
fof(f664,plain,
( spl32_56
<=> xr = sdtpldt0(smndt0(sdtasdt0(xq,xu)),xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_56])]) ).
fof(f1392,plain,
( ! [X2,X0,X1] :
( xr != sK21(X0,X1,X2)
| sP5(X0,X1,X2)
| ~ aElementOf0(xb,X0)
| ~ aElementOf0(smndt0(sdtasdt0(xq,xu)),X1)
| ~ aElementOf0(xr,X2) )
| ~ spl32_56
| ~ spl32_143 ),
inference(inner_rewriting,[],[f1389]) ).
fof(f1389,plain,
( ! [X2,X0,X1] :
( xr != sK21(X0,X1,X2)
| sP5(X0,X1,X2)
| ~ aElementOf0(xb,X0)
| ~ aElementOf0(smndt0(sdtasdt0(xq,xu)),X1)
| ~ aElementOf0(sK21(X0,X1,X2),X2) )
| ~ spl32_56
| ~ spl32_143 ),
inference(superposition,[],[f1377,f666]) ).
fof(f666,plain,
( xr = sdtpldt0(smndt0(sdtasdt0(xq,xu)),xb)
| ~ spl32_56 ),
inference(avatar_component_clause,[],[f664]) ).
fof(f8132,plain,
( spl32_491
| ~ spl32_28
| ~ spl32_139 ),
inference(avatar_split_clause,[],[f1347,f1320,f477,f8130]) ).
fof(f8130,plain,
( spl32_491
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,smndt0(X1)),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(smndt0(X1),X2))
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_491])]) ).
fof(f1347,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,smndt0(X1)),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(smndt0(X1),X2))
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl32_28
| ~ spl32_139 ),
inference(resolution,[],[f1321,f478]) ).
fof(f8128,plain,
( spl32_490
| ~ spl32_28
| ~ spl32_138 ),
inference(avatar_split_clause,[],[f1330,f1316,f477,f8126]) ).
fof(f8126,plain,
( spl32_490
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,smndt0(X2))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,smndt0(X2)))
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_490])]) ).
fof(f1330,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,smndt0(X2))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,smndt0(X2)))
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X2) )
| ~ spl32_28
| ~ spl32_138 ),
inference(resolution,[],[f1317,f478]) ).
fof(f8124,plain,
( spl32_489
| ~ spl32_61
| ~ spl32_135 ),
inference(avatar_split_clause,[],[f1323,f1304,f686,f8122]) ).
fof(f8122,plain,
( spl32_489
<=> ! [X0,X1] :
( sK12(X0,X1) = sdtasdt0(X0,sK13(X0,X1))
| sP0(X0,X1)
| ~ aSet0(X1)
| sP2(X1,sK12(X0,X1))
| ~ aIdeal0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_489])]) ).
fof(f1304,plain,
( spl32_135
<=> ! [X0,X1] :
( sP0(X0,X1)
| sK12(X0,X1) = sdtasdt0(X0,sK13(X0,X1))
| aElementOf0(sK12(X0,X1),X1)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_135])]) ).
fof(f1323,plain,
( ! [X0,X1] :
( sK12(X0,X1) = sdtasdt0(X0,sK13(X0,X1))
| sP0(X0,X1)
| ~ aSet0(X1)
| sP2(X1,sK12(X0,X1))
| ~ aIdeal0(X1) )
| ~ spl32_61
| ~ spl32_135 ),
inference(resolution,[],[f1305,f687]) ).
fof(f1305,plain,
( ! [X0,X1] :
( aElementOf0(sK12(X0,X1),X1)
| sK12(X0,X1) = sdtasdt0(X0,sK13(X0,X1))
| sP0(X0,X1)
| ~ aSet0(X1) )
| ~ spl32_135 ),
inference(avatar_component_clause,[],[f1304]) ).
fof(f8120,plain,
( spl32_488
| ~ spl32_59
| ~ spl32_101 ),
inference(avatar_split_clause,[],[f1048,f1025,f678,f8118]) ).
fof(f8118,plain,
( spl32_488
<=> ! [X0,X3,X2,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| ~ sP6(X2,X3)
| sz00 = sdtpldt0(smndt0(sK26(X2,X3,X1,X0)),sK26(X2,X3,X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_488])]) ).
fof(f1048,plain,
( ! [X2,X3,X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| ~ sP6(X2,X3)
| sz00 = sdtpldt0(smndt0(sK26(X2,X3,X1,X0)),sK26(X2,X3,X1,X0)) )
| ~ spl32_59
| ~ spl32_101 ),
inference(resolution,[],[f1026,f679]) ).
fof(f8116,plain,
( spl32_487
| ~ spl32_58
| ~ spl32_101 ),
inference(avatar_split_clause,[],[f1047,f1025,f674,f8114]) ).
fof(f8114,plain,
( spl32_487
<=> ! [X0,X3,X2,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| ~ sP6(X2,X3)
| sz00 = sdtpldt0(sK26(X2,X3,X1,X0),smndt0(sK26(X2,X3,X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_487])]) ).
fof(f1047,plain,
( ! [X2,X3,X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| ~ sP6(X2,X3)
| sz00 = sdtpldt0(sK26(X2,X3,X1,X0),smndt0(sK26(X2,X3,X1,X0))) )
| ~ spl32_58
| ~ spl32_101 ),
inference(resolution,[],[f1026,f675]) ).
fof(f8112,plain,
( ~ spl32_5
| spl32_486
| ~ spl32_60
| ~ spl32_264 ),
inference(avatar_split_clause,[],[f2987,f2691,f682,f8109,f356]) ).
fof(f8109,plain,
( spl32_486
<=> doDivides0(xc,xa) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_486])]) ).
fof(f682,plain,
( spl32_60
<=> ! [X0,X1] :
( doDivides0(X1,X0)
| ~ aDivisorOf0(X1,X0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_60])]) ).
fof(f2691,plain,
( spl32_264
<=> aDivisorOf0(xc,xa) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_264])]) ).
fof(f2987,plain,
( doDivides0(xc,xa)
| ~ aElement0(xa)
| ~ spl32_60
| ~ spl32_264 ),
inference(resolution,[],[f2693,f683]) ).
fof(f683,plain,
( ! [X0,X1] :
( ~ aDivisorOf0(X1,X0)
| doDivides0(X1,X0)
| ~ aElement0(X0) )
| ~ spl32_60 ),
inference(avatar_component_clause,[],[f682]) ).
fof(f2693,plain,
( aDivisorOf0(xc,xa)
| ~ spl32_264 ),
inference(avatar_component_clause,[],[f2691]) ).
fof(f8107,plain,
( spl32_485
| ~ spl32_40
| ~ spl32_143 ),
inference(avatar_split_clause,[],[f1390,f1376,f534,f8105]) ).
fof(f8105,plain,
( spl32_485
<=> ! [X2,X0,X1] :
( xb != sK21(X0,X1,X2)
| sP5(X0,X1,X2)
| ~ aElementOf0(xr,X0)
| ~ aElementOf0(sdtasdt0(xq,xu),X1)
| ~ aElementOf0(xb,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_485])]) ).
fof(f534,plain,
( spl32_40
<=> xb = sdtpldt0(sdtasdt0(xq,xu),xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_40])]) ).
fof(f1390,plain,
( ! [X2,X0,X1] :
( xb != sK21(X0,X1,X2)
| sP5(X0,X1,X2)
| ~ aElementOf0(xr,X0)
| ~ aElementOf0(sdtasdt0(xq,xu),X1)
| ~ aElementOf0(xb,X2) )
| ~ spl32_40
| ~ spl32_143 ),
inference(inner_rewriting,[],[f1387]) ).
fof(f1387,plain,
( ! [X2,X0,X1] :
( xb != sK21(X0,X1,X2)
| sP5(X0,X1,X2)
| ~ aElementOf0(xr,X0)
| ~ aElementOf0(sdtasdt0(xq,xu),X1)
| ~ aElementOf0(sK21(X0,X1,X2),X2) )
| ~ spl32_40
| ~ spl32_143 ),
inference(superposition,[],[f1377,f536]) ).
fof(f536,plain,
( xb = sdtpldt0(sdtasdt0(xq,xu),xr)
| ~ spl32_40 ),
inference(avatar_component_clause,[],[f534]) ).
fof(f7821,plain,
( spl32_484
| ~ spl32_82
| ~ spl32_133 ),
inference(avatar_split_clause,[],[f1270,f1251,f852,f7819]) ).
fof(f7819,plain,
( spl32_484
<=> ! [X2,X0,X1] :
( ~ aElementOf0(X0,sdtpldt1(X1,X2))
| sdtpldt0(sK24(X2,X1,X0),sK25(X2,X1,X0)) = X0
| ~ aSet0(X2)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_484])]) ).
fof(f852,plain,
( spl32_82
<=> ! [X0,X1] :
( sP5(X1,X0,sdtpldt1(X0,X1))
| ~ aSet0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_82])]) ).
fof(f1251,plain,
( spl32_133
<=> ! [X0,X8,X2,X1] :
( sdtpldt0(sK24(X0,X1,X8),sK25(X0,X1,X8)) = X8
| ~ aElementOf0(X8,X2)
| ~ sP5(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_133])]) ).
fof(f1270,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X0,sdtpldt1(X1,X2))
| sdtpldt0(sK24(X2,X1,X0),sK25(X2,X1,X0)) = X0
| ~ aSet0(X2)
| ~ aSet0(X1) )
| ~ spl32_82
| ~ spl32_133 ),
inference(resolution,[],[f1252,f853]) ).
fof(f853,plain,
( ! [X0,X1] :
( sP5(X1,X0,sdtpldt1(X0,X1))
| ~ aSet0(X1)
| ~ aSet0(X0) )
| ~ spl32_82 ),
inference(avatar_component_clause,[],[f852]) ).
fof(f1252,plain,
( ! [X2,X0,X1,X8] :
( ~ sP5(X0,X1,X2)
| ~ aElementOf0(X8,X2)
| sdtpldt0(sK24(X0,X1,X8),sK25(X0,X1,X8)) = X8 )
| ~ spl32_133 ),
inference(avatar_component_clause,[],[f1251]) ).
fof(f7817,plain,
( spl32_483
| ~ spl32_61
| ~ spl32_132 ),
inference(avatar_split_clause,[],[f1266,f1247,f686,f7815]) ).
fof(f7815,plain,
( spl32_483
<=> ! [X2,X0,X1] :
( aElementOf0(sK20(X0,X1,X2),X2)
| sP3(X0,X1,X2)
| ~ aSet0(X2)
| sP2(X0,sK20(X0,X1,X2))
| ~ aIdeal0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_483])]) ).
fof(f1247,plain,
( spl32_132
<=> ! [X2,X0,X1] :
( sP3(X0,X1,X2)
| aElementOf0(sK20(X0,X1,X2),X0)
| aElementOf0(sK20(X0,X1,X2),X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_132])]) ).
fof(f1266,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK20(X0,X1,X2),X2)
| sP3(X0,X1,X2)
| ~ aSet0(X2)
| sP2(X0,sK20(X0,X1,X2))
| ~ aIdeal0(X0) )
| ~ spl32_61
| ~ spl32_132 ),
inference(resolution,[],[f1248,f687]) ).
fof(f1248,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK20(X0,X1,X2),X2)
| aElementOf0(sK20(X0,X1,X2),X0)
| sP3(X0,X1,X2)
| ~ aSet0(X2) )
| ~ spl32_132 ),
inference(avatar_component_clause,[],[f1247]) ).
fof(f7813,plain,
( ~ spl32_6
| spl32_482
| ~ spl32_60
| ~ spl32_256 ),
inference(avatar_split_clause,[],[f2894,f2594,f682,f7810,f361]) ).
fof(f7810,plain,
( spl32_482
<=> doDivides0(xc,xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_482])]) ).
fof(f2594,plain,
( spl32_256
<=> aDivisorOf0(xc,xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_256])]) ).
fof(f2894,plain,
( doDivides0(xc,xb)
| ~ aElement0(xb)
| ~ spl32_60
| ~ spl32_256 ),
inference(resolution,[],[f2596,f683]) ).
fof(f2596,plain,
( aDivisorOf0(xc,xb)
| ~ spl32_256 ),
inference(avatar_component_clause,[],[f2594]) ).
fof(f7808,plain,
( spl32_481
| ~ spl32_61
| ~ spl32_132 ),
inference(avatar_split_clause,[],[f1264,f1247,f686,f7806]) ).
fof(f7806,plain,
( spl32_481
<=> ! [X2,X0,X1] :
( aElementOf0(sK20(X0,X1,X2),X0)
| sP3(X0,X1,X2)
| ~ aSet0(X2)
| sP2(X2,sK20(X0,X1,X2))
| ~ aIdeal0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_481])]) ).
fof(f1264,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK20(X0,X1,X2),X0)
| sP3(X0,X1,X2)
| ~ aSet0(X2)
| sP2(X2,sK20(X0,X1,X2))
| ~ aIdeal0(X2) )
| ~ spl32_61
| ~ spl32_132 ),
inference(resolution,[],[f1248,f687]) ).
fof(f7804,plain,
( spl32_480
| ~ spl32_61
| ~ spl32_131 ),
inference(avatar_split_clause,[],[f1260,f1243,f686,f7802]) ).
fof(f7802,plain,
( spl32_480
<=> ! [X2,X0,X1] :
( aElementOf0(sK20(X0,X1,X2),X2)
| sP3(X0,X1,X2)
| ~ aSet0(X2)
| sP2(X1,sK20(X0,X1,X2))
| ~ aIdeal0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_480])]) ).
fof(f1243,plain,
( spl32_131
<=> ! [X2,X0,X1] :
( sP3(X0,X1,X2)
| aElementOf0(sK20(X0,X1,X2),X1)
| aElementOf0(sK20(X0,X1,X2),X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_131])]) ).
fof(f1260,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK20(X0,X1,X2),X2)
| sP3(X0,X1,X2)
| ~ aSet0(X2)
| sP2(X1,sK20(X0,X1,X2))
| ~ aIdeal0(X1) )
| ~ spl32_61
| ~ spl32_131 ),
inference(resolution,[],[f1244,f687]) ).
fof(f1244,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK20(X0,X1,X2),X2)
| aElementOf0(sK20(X0,X1,X2),X1)
| sP3(X0,X1,X2)
| ~ aSet0(X2) )
| ~ spl32_131 ),
inference(avatar_component_clause,[],[f1243]) ).
fof(f7800,plain,
( spl32_479
| ~ spl32_61
| ~ spl32_131 ),
inference(avatar_split_clause,[],[f1258,f1243,f686,f7798]) ).
fof(f7798,plain,
( spl32_479
<=> ! [X2,X0,X1] :
( aElementOf0(sK20(X0,X1,X2),X1)
| sP3(X0,X1,X2)
| ~ aSet0(X2)
| sP2(X2,sK20(X0,X1,X2))
| ~ aIdeal0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_479])]) ).
fof(f1258,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK20(X0,X1,X2),X1)
| sP3(X0,X1,X2)
| ~ aSet0(X2)
| sP2(X2,sK20(X0,X1,X2))
| ~ aIdeal0(X2) )
| ~ spl32_61
| ~ spl32_131 ),
inference(resolution,[],[f1244,f687]) ).
fof(f7796,plain,
( spl32_478
| ~ spl32_48
| ~ spl32_101 ),
inference(avatar_split_clause,[],[f1046,f1025,f568,f7794]) ).
fof(f7794,plain,
( spl32_478
<=> ! [X0,X3,X2,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| ~ sP6(X2,X3)
| sK26(X2,X3,X1,X0) = sdtasdt0(sz10,sK26(X2,X3,X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_478])]) ).
fof(f1046,plain,
( ! [X2,X3,X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| ~ sP6(X2,X3)
| sK26(X2,X3,X1,X0) = sdtasdt0(sz10,sK26(X2,X3,X1,X0)) )
| ~ spl32_48
| ~ spl32_101 ),
inference(resolution,[],[f1026,f569]) ).
fof(f7792,plain,
( spl32_477
| ~ spl32_47
| ~ spl32_101 ),
inference(avatar_split_clause,[],[f1045,f1025,f564,f7790]) ).
fof(f7790,plain,
( spl32_477
<=> ! [X0,X3,X2,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| ~ sP6(X2,X3)
| sK26(X2,X3,X1,X0) = sdtasdt0(sK26(X2,X3,X1,X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_477])]) ).
fof(f1045,plain,
( ! [X2,X3,X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| ~ sP6(X2,X3)
| sK26(X2,X3,X1,X0) = sdtasdt0(sK26(X2,X3,X1,X0),sz10) )
| ~ spl32_47
| ~ spl32_101 ),
inference(resolution,[],[f1026,f565]) ).
fof(f7788,plain,
( spl32_476
| ~ spl32_46
| ~ spl32_101 ),
inference(avatar_split_clause,[],[f1044,f1025,f560,f7786]) ).
fof(f7786,plain,
( spl32_476
<=> ! [X0,X3,X2,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| ~ sP6(X2,X3)
| sK26(X2,X3,X1,X0) = sdtpldt0(sz00,sK26(X2,X3,X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_476])]) ).
fof(f1044,plain,
( ! [X2,X3,X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| ~ sP6(X2,X3)
| sK26(X2,X3,X1,X0) = sdtpldt0(sz00,sK26(X2,X3,X1,X0)) )
| ~ spl32_46
| ~ spl32_101 ),
inference(resolution,[],[f1026,f561]) ).
fof(f7784,plain,
( spl32_475
| ~ spl32_45
| ~ spl32_101 ),
inference(avatar_split_clause,[],[f1043,f1025,f556,f7782]) ).
fof(f7782,plain,
( spl32_475
<=> ! [X0,X3,X2,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| ~ sP6(X2,X3)
| sK26(X2,X3,X1,X0) = sdtpldt0(sK26(X2,X3,X1,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_475])]) ).
fof(f1043,plain,
( ! [X2,X3,X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| ~ sP6(X2,X3)
| sK26(X2,X3,X1,X0) = sdtpldt0(sK26(X2,X3,X1,X0),sz00) )
| ~ spl32_45
| ~ spl32_101 ),
inference(resolution,[],[f1026,f557]) ).
fof(f7780,plain,
( spl32_474
| ~ spl32_89
| ~ spl32_92 ),
inference(avatar_split_clause,[],[f993,f902,f890,f7778]) ).
fof(f7778,plain,
( spl32_474
<=> ! [X2,X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0)
| sdtasdt0(X2,sK30(X0,X1)) = sdtasdt0(sK30(X0,X1),X2)
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_474])]) ).
fof(f993,plain,
( ! [X2,X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0)
| sdtasdt0(X2,sK30(X0,X1)) = sdtasdt0(sK30(X0,X1),X2)
| ~ aElement0(X2) )
| ~ spl32_89
| ~ spl32_92 ),
inference(resolution,[],[f903,f891]) ).
fof(f7776,plain,
( spl32_473
| ~ spl32_88
| ~ spl32_92 ),
inference(avatar_split_clause,[],[f992,f902,f886,f7774]) ).
fof(f7774,plain,
( spl32_473
<=> ! [X2,X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0)
| sdtpldt0(X2,sK30(X0,X1)) = sdtpldt0(sK30(X0,X1),X2)
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_473])]) ).
fof(f992,plain,
( ! [X2,X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0)
| sdtpldt0(X2,sK30(X0,X1)) = sdtpldt0(sK30(X0,X1),X2)
| ~ aElement0(X2) )
| ~ spl32_88
| ~ spl32_92 ),
inference(resolution,[],[f903,f887]) ).
fof(f7772,plain,
( spl32_472
| ~ spl32_87
| ~ spl32_89 ),
inference(avatar_split_clause,[],[f978,f890,f882,f7770]) ).
fof(f7770,plain,
( spl32_472
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sK29(X1,X2)) = sdtasdt0(sK29(X1,X2),X0)
| ~ aElement0(X0)
| sz00 = X2
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_472])]) ).
fof(f978,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sK29(X1,X2)) = sdtasdt0(sK29(X1,X2),X0)
| ~ aElement0(X0)
| sz00 = X2
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl32_87
| ~ spl32_89 ),
inference(resolution,[],[f891,f883]) ).
fof(f7766,plain,
( spl32_471
| ~ spl32_86
| ~ spl32_89 ),
inference(avatar_split_clause,[],[f977,f890,f878,f7764]) ).
fof(f7764,plain,
( spl32_471
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sK28(X1,X2)) = sdtasdt0(sK28(X1,X2),X0)
| ~ aElement0(X0)
| sz00 = X2
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_471])]) ).
fof(f977,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sK28(X1,X2)) = sdtasdt0(sK28(X1,X2),X0)
| ~ aElement0(X0)
| sz00 = X2
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl32_86
| ~ spl32_89 ),
inference(resolution,[],[f891,f879]) ).
fof(f7762,plain,
( spl32_470
| ~ spl32_85
| ~ spl32_89 ),
inference(avatar_split_clause,[],[f976,f890,f874,f7760]) ).
fof(f7760,plain,
( spl32_470
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sK27(X1,X2)) = sdtasdt0(sK27(X1,X2),X0)
| ~ aElement0(X0)
| sP6(X2,X1)
| ~ aIdeal0(X2)
| ~ aIdeal0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_470])]) ).
fof(f976,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sK27(X1,X2)) = sdtasdt0(sK27(X1,X2),X0)
| ~ aElement0(X0)
| sP6(X2,X1)
| ~ aIdeal0(X2)
| ~ aIdeal0(X1) )
| ~ spl32_85
| ~ spl32_89 ),
inference(resolution,[],[f891,f875]) ).
fof(f7758,plain,
( spl32_469
| ~ spl32_87
| ~ spl32_88 ),
inference(avatar_split_clause,[],[f964,f886,f882,f7756]) ).
fof(f7756,plain,
( spl32_469
<=> ! [X2,X0,X1] :
( sdtpldt0(X0,sK29(X1,X2)) = sdtpldt0(sK29(X1,X2),X0)
| ~ aElement0(X0)
| sz00 = X2
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_469])]) ).
fof(f964,plain,
( ! [X2,X0,X1] :
( sdtpldt0(X0,sK29(X1,X2)) = sdtpldt0(sK29(X1,X2),X0)
| ~ aElement0(X0)
| sz00 = X2
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl32_87
| ~ spl32_88 ),
inference(resolution,[],[f887,f883]) ).
fof(f7754,plain,
( spl32_468
| ~ spl32_86
| ~ spl32_88 ),
inference(avatar_split_clause,[],[f963,f886,f878,f7752]) ).
fof(f7752,plain,
( spl32_468
<=> ! [X2,X0,X1] :
( sdtpldt0(X0,sK28(X1,X2)) = sdtpldt0(sK28(X1,X2),X0)
| ~ aElement0(X0)
| sz00 = X2
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_468])]) ).
fof(f963,plain,
( ! [X2,X0,X1] :
( sdtpldt0(X0,sK28(X1,X2)) = sdtpldt0(sK28(X1,X2),X0)
| ~ aElement0(X0)
| sz00 = X2
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl32_86
| ~ spl32_88 ),
inference(resolution,[],[f887,f879]) ).
fof(f7750,plain,
( spl32_467
| ~ spl32_85
| ~ spl32_88 ),
inference(avatar_split_clause,[],[f962,f886,f874,f7748]) ).
fof(f7748,plain,
( spl32_467
<=> ! [X2,X0,X1] :
( sdtpldt0(X0,sK27(X1,X2)) = sdtpldt0(sK27(X1,X2),X0)
| ~ aElement0(X0)
| sP6(X2,X1)
| ~ aIdeal0(X2)
| ~ aIdeal0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_467])]) ).
fof(f962,plain,
( ! [X2,X0,X1] :
( sdtpldt0(X0,sK27(X1,X2)) = sdtpldt0(sK27(X1,X2),X0)
| ~ aElement0(X0)
| sP6(X2,X1)
| ~ aIdeal0(X2)
| ~ aIdeal0(X1) )
| ~ spl32_85
| ~ spl32_88 ),
inference(resolution,[],[f887,f875]) ).
fof(f7565,plain,
( ~ spl32_10
| spl32_466
| ~ spl32_188
| ~ spl32_319 ),
inference(avatar_split_clause,[],[f4171,f3745,f1845,f7562,f381]) ).
fof(f381,plain,
( spl32_10
<=> aElement0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_10])]) ).
fof(f7562,plain,
( spl32_466
<=> aDivisorOf0(sz00,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_466])]) ).
fof(f1845,plain,
( spl32_188
<=> sz00 = sdtasdt0(sz00,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_188])]) ).
fof(f3745,plain,
( spl32_319
<=> ! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(sdtasdt0(X1,X0))
| ~ aElement0(X1)
| aDivisorOf0(X1,sdtasdt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_319])]) ).
fof(f4171,plain,
( aDivisorOf0(sz00,sz00)
| ~ aElement0(sz00)
| ~ spl32_188
| ~ spl32_319 ),
inference(duplicate_literal_removal,[],[f4097]) ).
fof(f4097,plain,
( aDivisorOf0(sz00,sz00)
| ~ aElement0(sz00)
| ~ aElement0(sz00)
| ~ aElement0(sz00)
| ~ spl32_188
| ~ spl32_319 ),
inference(superposition,[],[f3746,f1847]) ).
fof(f1847,plain,
( sz00 = sdtasdt0(sz00,sz00)
| ~ spl32_188 ),
inference(avatar_component_clause,[],[f1845]) ).
fof(f3746,plain,
( ! [X0,X1] :
( aDivisorOf0(X1,sdtasdt0(X1,X0))
| ~ aElement0(sdtasdt0(X1,X0))
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl32_319 ),
inference(avatar_component_clause,[],[f3745]) ).
fof(f7560,plain,
( spl32_465
| ~ spl32_28
| ~ spl32_129 ),
inference(avatar_split_clause,[],[f1228,f1189,f477,f7558]) ).
fof(f7558,plain,
( spl32_465
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),smndt0(X2)) = sdtasdt0(X0,sdtasdt0(X1,smndt0(X2)))
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_465])]) ).
fof(f1228,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),smndt0(X2)) = sdtasdt0(X0,sdtasdt0(X1,smndt0(X2)))
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X2) )
| ~ spl32_28
| ~ spl32_129 ),
inference(resolution,[],[f1190,f478]) ).
fof(f7556,plain,
( spl32_464
| ~ spl32_28
| ~ spl32_128 ),
inference(avatar_split_clause,[],[f1212,f1185,f477,f7554]) ).
fof(f7554,plain,
( spl32_464
<=> ! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),smndt0(X2)) = sdtpldt0(X0,sdtpldt0(X1,smndt0(X2)))
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_464])]) ).
fof(f1212,plain,
( ! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),smndt0(X2)) = sdtpldt0(X0,sdtpldt0(X1,smndt0(X2)))
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X2) )
| ~ spl32_28
| ~ spl32_128 ),
inference(resolution,[],[f1186,f478]) ).
fof(f7552,plain,
( spl32_463
| ~ spl32_61
| ~ spl32_124 ),
inference(avatar_split_clause,[],[f1196,f1169,f686,f7550]) ).
fof(f7550,plain,
( spl32_463
<=> ! [X0,X1] :
( aElementOf0(sK19(X0,X1),X0)
| X0 = X1
| ~ aSet0(X1)
| ~ aSet0(X0)
| sP2(X1,sK18(X0,X1))
| ~ aIdeal0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_463])]) ).
fof(f1169,plain,
( spl32_124
<=> ! [X0,X1] :
( X0 = X1
| aElementOf0(sK18(X0,X1),X1)
| aElementOf0(sK19(X0,X1),X0)
| ~ aSet0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_124])]) ).
fof(f1196,plain,
( ! [X0,X1] :
( aElementOf0(sK19(X0,X1),X0)
| X0 = X1
| ~ aSet0(X1)
| ~ aSet0(X0)
| sP2(X1,sK18(X0,X1))
| ~ aIdeal0(X1) )
| ~ spl32_61
| ~ spl32_124 ),
inference(resolution,[],[f1170,f687]) ).
fof(f1170,plain,
( ! [X0,X1] :
( aElementOf0(sK19(X0,X1),X0)
| aElementOf0(sK18(X0,X1),X1)
| X0 = X1
| ~ aSet0(X1)
| ~ aSet0(X0) )
| ~ spl32_124 ),
inference(avatar_component_clause,[],[f1169]) ).
fof(f7548,plain,
( spl32_462
| ~ spl32_61
| ~ spl32_124 ),
inference(avatar_split_clause,[],[f1194,f1169,f686,f7546]) ).
fof(f7546,plain,
( spl32_462
<=> ! [X0,X1] :
( aElementOf0(sK18(X0,X1),X1)
| X0 = X1
| ~ aSet0(X1)
| ~ aSet0(X0)
| sP2(X0,sK19(X0,X1))
| ~ aIdeal0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_462])]) ).
fof(f1194,plain,
( ! [X0,X1] :
( aElementOf0(sK18(X0,X1),X1)
| X0 = X1
| ~ aSet0(X1)
| ~ aSet0(X0)
| sP2(X0,sK19(X0,X1))
| ~ aIdeal0(X0) )
| ~ spl32_61
| ~ spl32_124 ),
inference(resolution,[],[f1170,f687]) ).
fof(f7544,plain,
( spl32_461
| ~ spl32_103
| ~ spl32_107 ),
inference(avatar_split_clause,[],[f1083,f1068,f1033,f7542]) ).
fof(f7542,plain,
( spl32_461
<=> ! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X0,sK30(X0,sdtasdt0(X0,X1)))
| ~ aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_461])]) ).
fof(f1033,plain,
( spl32_103
<=> ! [X2,X0] :
( doDivides0(X0,sdtasdt0(X0,X2))
| ~ aElement0(X2)
| ~ aElement0(sdtasdt0(X0,X2))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_103])]) ).
fof(f1068,plain,
( spl32_107
<=> ! [X0,X1] :
( sdtasdt0(X0,sK30(X0,X1)) = X1
| ~ doDivides0(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_107])]) ).
fof(f1083,plain,
( ! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X0,sK30(X0,sdtasdt0(X0,X1)))
| ~ aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) )
| ~ spl32_103
| ~ spl32_107 ),
inference(duplicate_literal_removal,[],[f1082]) ).
fof(f1082,plain,
( ! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X0,sK30(X0,sdtasdt0(X0,X1)))
| ~ aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X0) )
| ~ spl32_103
| ~ spl32_107 ),
inference(resolution,[],[f1069,f1034]) ).
fof(f1034,plain,
( ! [X2,X0] :
( doDivides0(X0,sdtasdt0(X0,X2))
| ~ aElement0(X2)
| ~ aElement0(sdtasdt0(X0,X2))
| ~ aElement0(X0) )
| ~ spl32_103 ),
inference(avatar_component_clause,[],[f1033]) ).
fof(f1069,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| sdtasdt0(X0,sK30(X0,X1)) = X1
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl32_107 ),
inference(avatar_component_clause,[],[f1068]) ).
fof(f7205,plain,
( ~ spl32_9
| spl32_460
| ~ spl32_194
| ~ spl32_319 ),
inference(avatar_split_clause,[],[f4162,f3745,f1875,f7202,f376]) ).
fof(f376,plain,
( spl32_9
<=> aElement0(sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_9])]) ).
fof(f7202,plain,
( spl32_460
<=> aDivisorOf0(sz10,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_460])]) ).
fof(f1875,plain,
( spl32_194
<=> sz10 = sdtasdt0(sz10,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_194])]) ).
fof(f4162,plain,
( aDivisorOf0(sz10,sz10)
| ~ aElement0(sz10)
| ~ spl32_194
| ~ spl32_319 ),
inference(duplicate_literal_removal,[],[f4107]) ).
fof(f4107,plain,
( aDivisorOf0(sz10,sz10)
| ~ aElement0(sz10)
| ~ aElement0(sz10)
| ~ aElement0(sz10)
| ~ spl32_194
| ~ spl32_319 ),
inference(superposition,[],[f3746,f1877]) ).
fof(f1877,plain,
( sz10 = sdtasdt0(sz10,sz10)
| ~ spl32_194 ),
inference(avatar_component_clause,[],[f1875]) ).
fof(f7200,plain,
( spl32_459
| ~ spl32_41
| ~ spl32_135 ),
inference(avatar_split_clause,[],[f1325,f1304,f539,f7198]) ).
fof(f7198,plain,
( spl32_459
<=> ! [X0,X1] :
( sK12(X0,X1) = sdtasdt0(X0,sK13(X0,X1))
| sP0(X0,X1)
| ~ aSet0(X1)
| aElement0(sK12(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_459])]) ).
fof(f1325,plain,
( ! [X0,X1] :
( sK12(X0,X1) = sdtasdt0(X0,sK13(X0,X1))
| sP0(X0,X1)
| ~ aSet0(X1)
| aElement0(sK12(X0,X1)) )
| ~ spl32_41
| ~ spl32_135 ),
inference(duplicate_literal_removal,[],[f1324]) ).
fof(f1324,plain,
( ! [X0,X1] :
( sK12(X0,X1) = sdtasdt0(X0,sK13(X0,X1))
| sP0(X0,X1)
| ~ aSet0(X1)
| aElement0(sK12(X0,X1))
| ~ aSet0(X1) )
| ~ spl32_41
| ~ spl32_135 ),
inference(resolution,[],[f1305,f540]) ).
fof(f7196,plain,
( spl32_458
| ~ spl32_60
| ~ spl32_119 ),
inference(avatar_split_clause,[],[f1156,f1131,f682,f7194]) ).
fof(f7194,plain,
( spl32_458
<=> ! [X2,X0,X1] :
( sP7(X0,X1,X2)
| ~ aDivisorOf0(X0,X1)
| ~ aDivisorOf0(X0,X2)
| doDivides0(sK31(X0,X1,X2),X1)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_458])]) ).
fof(f1131,plain,
( spl32_119
<=> ! [X2,X0,X1] :
( sP7(X0,X1,X2)
| aDivisorOf0(sK31(X0,X1,X2),X1)
| ~ aDivisorOf0(X0,X1)
| ~ aDivisorOf0(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_119])]) ).
fof(f1156,plain,
( ! [X2,X0,X1] :
( sP7(X0,X1,X2)
| ~ aDivisorOf0(X0,X1)
| ~ aDivisorOf0(X0,X2)
| doDivides0(sK31(X0,X1,X2),X1)
| ~ aElement0(X1) )
| ~ spl32_60
| ~ spl32_119 ),
inference(resolution,[],[f1132,f683]) ).
fof(f1132,plain,
( ! [X2,X0,X1] :
( aDivisorOf0(sK31(X0,X1,X2),X1)
| sP7(X0,X1,X2)
| ~ aDivisorOf0(X0,X1)
| ~ aDivisorOf0(X0,X2) )
| ~ spl32_119 ),
inference(avatar_component_clause,[],[f1131]) ).
fof(f7192,plain,
( spl32_457
| ~ spl32_60
| ~ spl32_118 ),
inference(avatar_split_clause,[],[f1154,f1127,f682,f7190]) ).
fof(f7190,plain,
( spl32_457
<=> ! [X2,X0,X1] :
( sP7(X0,X1,X2)
| ~ aDivisorOf0(X0,X1)
| ~ aDivisorOf0(X0,X2)
| doDivides0(sK31(X0,X1,X2),X2)
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_457])]) ).
fof(f1127,plain,
( spl32_118
<=> ! [X2,X0,X1] :
( sP7(X0,X1,X2)
| aDivisorOf0(sK31(X0,X1,X2),X2)
| ~ aDivisorOf0(X0,X1)
| ~ aDivisorOf0(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_118])]) ).
fof(f1154,plain,
( ! [X2,X0,X1] :
( sP7(X0,X1,X2)
| ~ aDivisorOf0(X0,X1)
| ~ aDivisorOf0(X0,X2)
| doDivides0(sK31(X0,X1,X2),X2)
| ~ aElement0(X2) )
| ~ spl32_60
| ~ spl32_118 ),
inference(resolution,[],[f1128,f683]) ).
fof(f1128,plain,
( ! [X2,X0,X1] :
( aDivisorOf0(sK31(X0,X1,X2),X2)
| sP7(X0,X1,X2)
| ~ aDivisorOf0(X0,X1)
| ~ aDivisorOf0(X0,X2) )
| ~ spl32_118 ),
inference(avatar_component_clause,[],[f1127]) ).
fof(f7188,plain,
( spl32_456
| ~ spl32_61
| ~ spl32_117 ),
inference(avatar_split_clause,[],[f1152,f1123,f686,f7186]) ).
fof(f7186,plain,
( spl32_456
<=> ! [X2,X0,X1] :
( aElementOf0(sK23(X0,X1,X2),X0)
| sP5(X0,X1,X2)
| sP2(X2,sK21(X0,X1,X2))
| ~ aIdeal0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_456])]) ).
fof(f1123,plain,
( spl32_117
<=> ! [X2,X0,X1] :
( sP5(X0,X1,X2)
| aElementOf0(sK23(X0,X1,X2),X0)
| aElementOf0(sK21(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_117])]) ).
fof(f1152,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK23(X0,X1,X2),X0)
| sP5(X0,X1,X2)
| sP2(X2,sK21(X0,X1,X2))
| ~ aIdeal0(X2) )
| ~ spl32_61
| ~ spl32_117 ),
inference(resolution,[],[f1124,f687]) ).
fof(f1124,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK23(X0,X1,X2),X0)
| aElementOf0(sK21(X0,X1,X2),X2)
| sP5(X0,X1,X2) )
| ~ spl32_117 ),
inference(avatar_component_clause,[],[f1123]) ).
fof(f7184,plain,
( spl32_455
| ~ spl32_61
| ~ spl32_117 ),
inference(avatar_split_clause,[],[f1150,f1123,f686,f7182]) ).
fof(f7182,plain,
( spl32_455
<=> ! [X2,X0,X1] :
( aElementOf0(sK21(X0,X1,X2),X2)
| sP5(X0,X1,X2)
| sP2(X0,sK23(X0,X1,X2))
| ~ aIdeal0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_455])]) ).
fof(f1150,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK21(X0,X1,X2),X2)
| sP5(X0,X1,X2)
| sP2(X0,sK23(X0,X1,X2))
| ~ aIdeal0(X0) )
| ~ spl32_61
| ~ spl32_117 ),
inference(resolution,[],[f1124,f687]) ).
fof(f7180,plain,
( spl32_454
| ~ spl32_61
| ~ spl32_116 ),
inference(avatar_split_clause,[],[f1148,f1119,f686,f7178]) ).
fof(f7178,plain,
( spl32_454
<=> ! [X2,X0,X1] :
( aElementOf0(sK22(X0,X1,X2),X1)
| sP5(X0,X1,X2)
| sP2(X2,sK21(X0,X1,X2))
| ~ aIdeal0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_454])]) ).
fof(f1119,plain,
( spl32_116
<=> ! [X2,X0,X1] :
( sP5(X0,X1,X2)
| aElementOf0(sK22(X0,X1,X2),X1)
| aElementOf0(sK21(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_116])]) ).
fof(f1148,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK22(X0,X1,X2),X1)
| sP5(X0,X1,X2)
| sP2(X2,sK21(X0,X1,X2))
| ~ aIdeal0(X2) )
| ~ spl32_61
| ~ spl32_116 ),
inference(resolution,[],[f1120,f687]) ).
fof(f1120,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK22(X0,X1,X2),X1)
| aElementOf0(sK21(X0,X1,X2),X2)
| sP5(X0,X1,X2) )
| ~ spl32_116 ),
inference(avatar_component_clause,[],[f1119]) ).
fof(f7176,plain,
( spl32_453
| ~ spl32_61
| ~ spl32_116 ),
inference(avatar_split_clause,[],[f1146,f1119,f686,f7174]) ).
fof(f7174,plain,
( spl32_453
<=> ! [X2,X0,X1] :
( aElementOf0(sK21(X0,X1,X2),X2)
| sP5(X0,X1,X2)
| sP2(X1,sK22(X0,X1,X2))
| ~ aIdeal0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_453])]) ).
fof(f1146,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK21(X0,X1,X2),X2)
| sP5(X0,X1,X2)
| sP2(X1,sK22(X0,X1,X2))
| ~ aIdeal0(X1) )
| ~ spl32_61
| ~ spl32_116 ),
inference(resolution,[],[f1120,f687]) ).
fof(f7172,plain,
( spl32_452
| ~ spl32_73
| ~ spl32_92 ),
inference(avatar_split_clause,[],[f991,f902,f791,f7170]) ).
fof(f7170,plain,
( spl32_452
<=> ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0)
| smndt0(sK30(X0,X1)) = sdtasdt0(sK30(X0,X1),smndt0(sz10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_452])]) ).
fof(f991,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0)
| smndt0(sK30(X0,X1)) = sdtasdt0(sK30(X0,X1),smndt0(sz10)) )
| ~ spl32_73
| ~ spl32_92 ),
inference(resolution,[],[f903,f792]) ).
fof(f7168,plain,
( spl32_451
| ~ spl32_72
| ~ spl32_92 ),
inference(avatar_split_clause,[],[f990,f902,f787,f7166]) ).
fof(f7166,plain,
( spl32_451
<=> ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0)
| smndt0(sK30(X0,X1)) = sdtasdt0(smndt0(sz10),sK30(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_451])]) ).
fof(f990,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0)
| smndt0(sK30(X0,X1)) = sdtasdt0(smndt0(sz10),sK30(X0,X1)) )
| ~ spl32_72
| ~ spl32_92 ),
inference(resolution,[],[f903,f788]) ).
fof(f7164,plain,
( spl32_450
| ~ spl32_73
| ~ spl32_87 ),
inference(avatar_split_clause,[],[f950,f882,f791,f7162]) ).
fof(f7162,plain,
( spl32_450
<=> ! [X0,X1] :
( sz00 = X0
| ~ aElement0(X0)
| ~ aElement0(X1)
| smndt0(sK29(X1,X0)) = sdtasdt0(sK29(X1,X0),smndt0(sz10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_450])]) ).
fof(f950,plain,
( ! [X0,X1] :
( sz00 = X0
| ~ aElement0(X0)
| ~ aElement0(X1)
| smndt0(sK29(X1,X0)) = sdtasdt0(sK29(X1,X0),smndt0(sz10)) )
| ~ spl32_73
| ~ spl32_87 ),
inference(resolution,[],[f883,f792]) ).
fof(f7140,plain,
( spl32_449
| ~ spl32_72
| ~ spl32_87 ),
inference(avatar_split_clause,[],[f949,f882,f787,f7138]) ).
fof(f7138,plain,
( spl32_449
<=> ! [X0,X1] :
( sz00 = X0
| ~ aElement0(X0)
| ~ aElement0(X1)
| smndt0(sK29(X1,X0)) = sdtasdt0(smndt0(sz10),sK29(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_449])]) ).
fof(f949,plain,
( ! [X0,X1] :
( sz00 = X0
| ~ aElement0(X0)
| ~ aElement0(X1)
| smndt0(sK29(X1,X0)) = sdtasdt0(smndt0(sz10),sK29(X1,X0)) )
| ~ spl32_72
| ~ spl32_87 ),
inference(resolution,[],[f883,f788]) ).
fof(f7136,plain,
( spl32_448
| ~ spl32_73
| ~ spl32_86 ),
inference(avatar_split_clause,[],[f939,f878,f791,f7134]) ).
fof(f7134,plain,
( spl32_448
<=> ! [X0,X1] :
( sz00 = X0
| ~ aElement0(X0)
| ~ aElement0(X1)
| smndt0(sK28(X1,X0)) = sdtasdt0(sK28(X1,X0),smndt0(sz10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_448])]) ).
fof(f939,plain,
( ! [X0,X1] :
( sz00 = X0
| ~ aElement0(X0)
| ~ aElement0(X1)
| smndt0(sK28(X1,X0)) = sdtasdt0(sK28(X1,X0),smndt0(sz10)) )
| ~ spl32_73
| ~ spl32_86 ),
inference(resolution,[],[f879,f792]) ).
fof(f7132,plain,
( spl32_447
| ~ spl32_72
| ~ spl32_86 ),
inference(avatar_split_clause,[],[f938,f878,f787,f7130]) ).
fof(f7130,plain,
( spl32_447
<=> ! [X0,X1] :
( sz00 = X0
| ~ aElement0(X0)
| ~ aElement0(X1)
| smndt0(sK28(X1,X0)) = sdtasdt0(smndt0(sz10),sK28(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_447])]) ).
fof(f938,plain,
( ! [X0,X1] :
( sz00 = X0
| ~ aElement0(X0)
| ~ aElement0(X1)
| smndt0(sK28(X1,X0)) = sdtasdt0(smndt0(sz10),sK28(X1,X0)) )
| ~ spl32_72
| ~ spl32_86 ),
inference(resolution,[],[f879,f788]) ).
fof(f7128,plain,
( spl32_446
| ~ spl32_73
| ~ spl32_85 ),
inference(avatar_split_clause,[],[f928,f874,f791,f7126]) ).
fof(f7126,plain,
( spl32_446
<=> ! [X0,X1] :
( sP6(X0,X1)
| ~ aIdeal0(X0)
| ~ aIdeal0(X1)
| smndt0(sK27(X1,X0)) = sdtasdt0(sK27(X1,X0),smndt0(sz10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_446])]) ).
fof(f928,plain,
( ! [X0,X1] :
( sP6(X0,X1)
| ~ aIdeal0(X0)
| ~ aIdeal0(X1)
| smndt0(sK27(X1,X0)) = sdtasdt0(sK27(X1,X0),smndt0(sz10)) )
| ~ spl32_73
| ~ spl32_85 ),
inference(resolution,[],[f875,f792]) ).
fof(f7124,plain,
( spl32_445
| ~ spl32_72
| ~ spl32_85 ),
inference(avatar_split_clause,[],[f927,f874,f787,f7122]) ).
fof(f7122,plain,
( spl32_445
<=> ! [X0,X1] :
( sP6(X0,X1)
| ~ aIdeal0(X0)
| ~ aIdeal0(X1)
| smndt0(sK27(X1,X0)) = sdtasdt0(smndt0(sz10),sK27(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_445])]) ).
fof(f927,plain,
( ! [X0,X1] :
( sP6(X0,X1)
| ~ aIdeal0(X0)
| ~ aIdeal0(X1)
| smndt0(sK27(X1,X0)) = sdtasdt0(smndt0(sz10),sK27(X1,X0)) )
| ~ spl32_72
| ~ spl32_85 ),
inference(resolution,[],[f875,f788]) ).
fof(f7112,plain,
( ~ spl32_216
| ~ spl32_218
| spl32_443
| ~ spl32_444
| ~ spl32_39
| ~ spl32_106 ),
inference(avatar_split_clause,[],[f1080,f1064,f529,f7109,f7105,f2151,f2141]) ).
fof(f2141,plain,
( spl32_216
<=> aIdeal0(slsdtgt0(xa)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_216])]) ).
fof(f2151,plain,
( spl32_218
<=> aIdeal0(slsdtgt0(xb)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_218])]) ).
fof(f7105,plain,
( spl32_443
<=> sP6(slsdtgt0(xb),slsdtgt0(xa)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_443])]) ).
fof(f7109,plain,
( spl32_444
<=> aElementOf0(sK27(slsdtgt0(xa),slsdtgt0(xb)),xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_444])]) ).
fof(f529,plain,
( spl32_39
<=> xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_39])]) ).
fof(f1064,plain,
( spl32_106
<=> ! [X0,X1] :
( sP6(X1,X0)
| ~ aElementOf0(sK27(X0,X1),sdtpldt1(X0,X1))
| ~ aIdeal0(X1)
| ~ aIdeal0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_106])]) ).
fof(f1080,plain,
( ~ aElementOf0(sK27(slsdtgt0(xa),slsdtgt0(xb)),xI)
| sP6(slsdtgt0(xb),slsdtgt0(xa))
| ~ aIdeal0(slsdtgt0(xb))
| ~ aIdeal0(slsdtgt0(xa))
| ~ spl32_39
| ~ spl32_106 ),
inference(superposition,[],[f1065,f531]) ).
fof(f531,plain,
( xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))
| ~ spl32_39 ),
inference(avatar_component_clause,[],[f529]) ).
fof(f1065,plain,
( ! [X0,X1] :
( ~ aElementOf0(sK27(X0,X1),sdtpldt1(X0,X1))
| sP6(X1,X0)
| ~ aIdeal0(X1)
| ~ aIdeal0(X0) )
| ~ spl32_106 ),
inference(avatar_component_clause,[],[f1064]) ).
fof(f7029,plain,
( ~ spl32_9
| spl32_442
| ~ spl32_103
| ~ spl32_194 ),
inference(avatar_split_clause,[],[f1918,f1875,f1033,f7026,f376]) ).
fof(f7026,plain,
( spl32_442
<=> doDivides0(sz10,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_442])]) ).
fof(f1918,plain,
( doDivides0(sz10,sz10)
| ~ aElement0(sz10)
| ~ spl32_103
| ~ spl32_194 ),
inference(duplicate_literal_removal,[],[f1913]) ).
fof(f1913,plain,
( doDivides0(sz10,sz10)
| ~ aElement0(sz10)
| ~ aElement0(sz10)
| ~ aElement0(sz10)
| ~ spl32_103
| ~ spl32_194 ),
inference(superposition,[],[f1034,f1877]) ).
fof(f6498,plain,
( ~ spl32_10
| spl32_441
| ~ spl32_103
| ~ spl32_188 ),
inference(avatar_split_clause,[],[f1886,f1845,f1033,f6495,f381]) ).
fof(f6495,plain,
( spl32_441
<=> doDivides0(sz00,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_441])]) ).
fof(f1886,plain,
( doDivides0(sz00,sz00)
| ~ aElement0(sz00)
| ~ spl32_103
| ~ spl32_188 ),
inference(duplicate_literal_removal,[],[f1881]) ).
fof(f1881,plain,
( doDivides0(sz00,sz00)
| ~ aElement0(sz00)
| ~ aElement0(sz00)
| ~ aElement0(sz00)
| ~ spl32_103
| ~ spl32_188 ),
inference(superposition,[],[f1034,f1847]) ).
fof(f6397,plain,
( spl32_440
| ~ spl32_9
| ~ spl32_139 ),
inference(avatar_split_clause,[],[f1346,f1320,f376,f6395]) ).
fof(f6395,plain,
( spl32_440
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,sz10),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sz10,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_440])]) ).
fof(f1346,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,sz10),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sz10,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) )
| ~ spl32_9
| ~ spl32_139 ),
inference(resolution,[],[f1321,f378]) ).
fof(f378,plain,
( aElement0(sz10)
| ~ spl32_9 ),
inference(avatar_component_clause,[],[f376]) ).
fof(f6393,plain,
( spl32_439
| ~ spl32_10
| ~ spl32_139 ),
inference(avatar_split_clause,[],[f1345,f1320,f381,f6391]) ).
fof(f6391,plain,
( spl32_439
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,sz00),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sz00,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_439])]) ).
fof(f1345,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,sz00),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sz00,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) )
| ~ spl32_10
| ~ spl32_139 ),
inference(resolution,[],[f1321,f383]) ).
fof(f383,plain,
( aElement0(sz00)
| ~ spl32_10 ),
inference(avatar_component_clause,[],[f381]) ).
fof(f6389,plain,
( spl32_438
| ~ spl32_9
| ~ spl32_138 ),
inference(avatar_split_clause,[],[f1329,f1316,f376,f6387]) ).
fof(f6387,plain,
( spl32_438
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sz10)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz10))
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_438])]) ).
fof(f1329,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sz10)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz10))
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl32_9
| ~ spl32_138 ),
inference(resolution,[],[f1317,f378]) ).
fof(f6385,plain,
( spl32_437
| ~ spl32_10
| ~ spl32_138 ),
inference(avatar_split_clause,[],[f1328,f1316,f381,f6383]) ).
fof(f6383,plain,
( spl32_437
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sz00)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz00))
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_437])]) ).
fof(f1328,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sz00)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz00))
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl32_10
| ~ spl32_138 ),
inference(resolution,[],[f1317,f383]) ).
fof(f6381,plain,
( spl32_436
| ~ spl32_41
| ~ spl32_132 ),
inference(avatar_split_clause,[],[f1269,f1247,f539,f6379]) ).
fof(f6379,plain,
( spl32_436
<=> ! [X2,X0,X1] :
( aElementOf0(sK20(X0,X1,X2),X0)
| sP3(X0,X1,X2)
| ~ aSet0(X2)
| aElement0(sK20(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_436])]) ).
fof(f1269,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK20(X0,X1,X2),X0)
| sP3(X0,X1,X2)
| ~ aSet0(X2)
| aElement0(sK20(X0,X1,X2)) )
| ~ spl32_41
| ~ spl32_132 ),
inference(duplicate_literal_removal,[],[f1265]) ).
fof(f1265,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK20(X0,X1,X2),X0)
| sP3(X0,X1,X2)
| ~ aSet0(X2)
| aElement0(sK20(X0,X1,X2))
| ~ aSet0(X2) )
| ~ spl32_41
| ~ spl32_132 ),
inference(resolution,[],[f1248,f540]) ).
fof(f6377,plain,
( spl32_435
| ~ spl32_41
| ~ spl32_131 ),
inference(avatar_split_clause,[],[f1263,f1243,f539,f6375]) ).
fof(f6375,plain,
( spl32_435
<=> ! [X2,X0,X1] :
( aElementOf0(sK20(X0,X1,X2),X1)
| sP3(X0,X1,X2)
| ~ aSet0(X2)
| aElement0(sK20(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_435])]) ).
fof(f1263,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK20(X0,X1,X2),X1)
| sP3(X0,X1,X2)
| ~ aSet0(X2)
| aElement0(sK20(X0,X1,X2)) )
| ~ spl32_41
| ~ spl32_131 ),
inference(duplicate_literal_removal,[],[f1259]) ).
fof(f1259,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK20(X0,X1,X2),X1)
| sP3(X0,X1,X2)
| ~ aSet0(X2)
| aElement0(sK20(X0,X1,X2))
| ~ aSet0(X2) )
| ~ spl32_41
| ~ spl32_131 ),
inference(resolution,[],[f1244,f540]) ).
fof(f6373,plain,
( spl32_434
| ~ spl32_81
| ~ spl32_123 ),
inference(avatar_split_clause,[],[f1192,f1165,f848,f6371]) ).
fof(f6371,plain,
( spl32_434
<=> ! [X0,X1] :
( sP2(X0,X1)
| ~ aElementOf0(sdtpldt0(X1,sK16(X0,X1)),X0)
| ~ aElement0(X1)
| ~ sP0(sK15(X0,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_434])]) ).
fof(f848,plain,
( spl32_81
<=> ! [X6,X0,X1] :
( aElementOf0(sdtasdt0(X0,X6),X1)
| ~ aElement0(X6)
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_81])]) ).
fof(f1165,plain,
( spl32_123
<=> ! [X0,X1] :
( sP2(X0,X1)
| ~ aElementOf0(sdtasdt0(sK15(X0,X1),X1),X0)
| ~ aElementOf0(sdtpldt0(X1,sK16(X0,X1)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_123])]) ).
fof(f1192,plain,
( ! [X0,X1] :
( sP2(X0,X1)
| ~ aElementOf0(sdtpldt0(X1,sK16(X0,X1)),X0)
| ~ aElement0(X1)
| ~ sP0(sK15(X0,X1),X0) )
| ~ spl32_81
| ~ spl32_123 ),
inference(resolution,[],[f1166,f849]) ).
fof(f849,plain,
( ! [X0,X1,X6] :
( aElementOf0(sdtasdt0(X0,X6),X1)
| ~ aElement0(X6)
| ~ sP0(X0,X1) )
| ~ spl32_81 ),
inference(avatar_component_clause,[],[f848]) ).
fof(f1166,plain,
( ! [X0,X1] :
( ~ aElementOf0(sdtasdt0(sK15(X0,X1),X1),X0)
| sP2(X0,X1)
| ~ aElementOf0(sdtpldt0(X1,sK16(X0,X1)),X0) )
| ~ spl32_123 ),
inference(avatar_component_clause,[],[f1165]) ).
fof(f6369,plain,
( spl32_433
| ~ spl32_84
| ~ spl32_122 ),
inference(avatar_split_clause,[],[f1162,f1143,f870,f6367]) ).
fof(f6367,plain,
( spl32_433
<=> ! [X2,X0,X1] :
( sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aIdeal0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElementOf0(smndt0(X1),X2)
| ~ sP2(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_433])]) ).
fof(f870,plain,
( spl32_84
<=> ! [X5,X0,X1] :
( aElementOf0(sdtpldt0(X1,X5),X0)
| ~ aElementOf0(X5,X0)
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_84])]) ).
fof(f1143,plain,
( spl32_122
<=> ! [X2,X0,X1] :
( sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aElementOf0(sdtpldt0(X0,smndt0(X1)),X2)
| ~ aIdeal0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_122])]) ).
fof(f1162,plain,
( ! [X2,X0,X1] :
( sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aIdeal0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElementOf0(smndt0(X1),X2)
| ~ sP2(X2,X0) )
| ~ spl32_84
| ~ spl32_122 ),
inference(resolution,[],[f1144,f871]) ).
fof(f871,plain,
( ! [X0,X1,X5] :
( aElementOf0(sdtpldt0(X1,X5),X0)
| ~ aElementOf0(X5,X0)
| ~ sP2(X0,X1) )
| ~ spl32_84 ),
inference(avatar_component_clause,[],[f870]) ).
fof(f1144,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(sdtpldt0(X0,smndt0(X1)),X2)
| sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aIdeal0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl32_122 ),
inference(avatar_component_clause,[],[f1143]) ).
fof(f6365,plain,
( spl32_432
| ~ spl32_41
| ~ spl32_121 ),
inference(avatar_split_clause,[],[f1159,f1139,f539,f6363]) ).
fof(f6363,plain,
( spl32_432
<=> ! [X2,X0,X1] :
( ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aIdeal0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0)
| aElement0(sdtpldt0(X0,smndt0(X1)))
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_432])]) ).
fof(f1139,plain,
( spl32_121
<=> ! [X2,X0,X1] :
( aElementOf0(sdtpldt0(X0,smndt0(X1)),X2)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aIdeal0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_121])]) ).
fof(f1159,plain,
( ! [X2,X0,X1] :
( ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aIdeal0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0)
| aElement0(sdtpldt0(X0,smndt0(X1)))
| ~ aSet0(X2) )
| ~ spl32_41
| ~ spl32_121 ),
inference(resolution,[],[f1140,f540]) ).
fof(f1140,plain,
( ! [X2,X0,X1] :
( aElementOf0(sdtpldt0(X0,smndt0(X1)),X2)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aIdeal0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl32_121 ),
inference(avatar_component_clause,[],[f1139]) ).
fof(f6361,plain,
( spl32_431
| ~ spl32_49
| ~ spl32_119 ),
inference(avatar_split_clause,[],[f1157,f1131,f572,f6359]) ).
fof(f6359,plain,
( spl32_431
<=> ! [X2,X0,X1] :
( sP7(X0,X1,X2)
| ~ aDivisorOf0(X0,X1)
| ~ aDivisorOf0(X0,X2)
| aElement0(sK31(X0,X1,X2))
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_431])]) ).
fof(f572,plain,
( spl32_49
<=> ! [X0,X1] :
( aElement0(X1)
| ~ aDivisorOf0(X1,X0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_49])]) ).
fof(f1157,plain,
( ! [X2,X0,X1] :
( sP7(X0,X1,X2)
| ~ aDivisorOf0(X0,X1)
| ~ aDivisorOf0(X0,X2)
| aElement0(sK31(X0,X1,X2))
| ~ aElement0(X1) )
| ~ spl32_49
| ~ spl32_119 ),
inference(resolution,[],[f1132,f573]) ).
fof(f573,plain,
( ! [X0,X1] :
( ~ aDivisorOf0(X1,X0)
| aElement0(X1)
| ~ aElement0(X0) )
| ~ spl32_49 ),
inference(avatar_component_clause,[],[f572]) ).
fof(f6357,plain,
( spl32_430
| ~ spl32_49
| ~ spl32_118 ),
inference(avatar_split_clause,[],[f1155,f1127,f572,f6355]) ).
fof(f6355,plain,
( spl32_430
<=> ! [X2,X0,X1] :
( sP7(X0,X1,X2)
| ~ aDivisorOf0(X0,X1)
| ~ aDivisorOf0(X0,X2)
| aElement0(sK31(X0,X1,X2))
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_430])]) ).
fof(f1155,plain,
( ! [X2,X0,X1] :
( sP7(X0,X1,X2)
| ~ aDivisorOf0(X0,X1)
| ~ aDivisorOf0(X0,X2)
| aElement0(sK31(X0,X1,X2))
| ~ aElement0(X2) )
| ~ spl32_49
| ~ spl32_118 ),
inference(resolution,[],[f1128,f573]) ).
fof(f6353,plain,
( spl32_429
| ~ spl32_41
| ~ spl32_117 ),
inference(avatar_split_clause,[],[f1153,f1123,f539,f6351]) ).
fof(f6351,plain,
( spl32_429
<=> ! [X2,X0,X1] :
( aElementOf0(sK23(X0,X1,X2),X0)
| sP5(X0,X1,X2)
| aElement0(sK21(X0,X1,X2))
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_429])]) ).
fof(f1153,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK23(X0,X1,X2),X0)
| sP5(X0,X1,X2)
| aElement0(sK21(X0,X1,X2))
| ~ aSet0(X2) )
| ~ spl32_41
| ~ spl32_117 ),
inference(resolution,[],[f1124,f540]) ).
fof(f6349,plain,
( spl32_428
| ~ spl32_41
| ~ spl32_117 ),
inference(avatar_split_clause,[],[f1151,f1123,f539,f6347]) ).
fof(f6347,plain,
( spl32_428
<=> ! [X2,X0,X1] :
( aElementOf0(sK21(X0,X1,X2),X2)
| sP5(X0,X1,X2)
| aElement0(sK23(X0,X1,X2))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_428])]) ).
fof(f1151,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK21(X0,X1,X2),X2)
| sP5(X0,X1,X2)
| aElement0(sK23(X0,X1,X2))
| ~ aSet0(X0) )
| ~ spl32_41
| ~ spl32_117 ),
inference(resolution,[],[f1124,f540]) ).
fof(f6345,plain,
( spl32_427
| ~ spl32_41
| ~ spl32_116 ),
inference(avatar_split_clause,[],[f1149,f1119,f539,f6343]) ).
fof(f6343,plain,
( spl32_427
<=> ! [X2,X0,X1] :
( aElementOf0(sK22(X0,X1,X2),X1)
| sP5(X0,X1,X2)
| aElement0(sK21(X0,X1,X2))
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_427])]) ).
fof(f1149,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK22(X0,X1,X2),X1)
| sP5(X0,X1,X2)
| aElement0(sK21(X0,X1,X2))
| ~ aSet0(X2) )
| ~ spl32_41
| ~ spl32_116 ),
inference(resolution,[],[f1120,f540]) ).
fof(f6328,plain,
( spl32_426
| ~ spl32_41
| ~ spl32_116 ),
inference(avatar_split_clause,[],[f1147,f1119,f539,f6326]) ).
fof(f6326,plain,
( spl32_426
<=> ! [X2,X0,X1] :
( aElementOf0(sK21(X0,X1,X2),X2)
| sP5(X0,X1,X2)
| aElement0(sK22(X0,X1,X2))
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_426])]) ).
fof(f1147,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK21(X0,X1,X2),X2)
| sP5(X0,X1,X2)
| aElement0(sK22(X0,X1,X2))
| ~ aSet0(X1) )
| ~ spl32_41
| ~ spl32_116 ),
inference(resolution,[],[f1120,f540]) ).
fof(f6324,plain,
( spl32_425
| ~ spl32_82
| ~ spl32_114 ),
inference(avatar_split_clause,[],[f1117,f1105,f852,f6322]) ).
fof(f6322,plain,
( spl32_425
<=> ! [X0,X3,X2,X1] :
( ~ aElementOf0(X0,X1)
| ~ aElementOf0(X2,X3)
| aElementOf0(sdtpldt0(X2,X0),sdtpldt1(X3,X1))
| ~ aSet0(X1)
| ~ aSet0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_425])]) ).
fof(f1105,plain,
( spl32_114
<=> ! [X10,X0,X9,X2,X1] :
( aElementOf0(sdtpldt0(X9,X10),X2)
| ~ aElementOf0(X10,X0)
| ~ aElementOf0(X9,X1)
| ~ sP5(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_114])]) ).
fof(f1117,plain,
( ! [X2,X3,X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ aElementOf0(X2,X3)
| aElementOf0(sdtpldt0(X2,X0),sdtpldt1(X3,X1))
| ~ aSet0(X1)
| ~ aSet0(X3) )
| ~ spl32_82
| ~ spl32_114 ),
inference(resolution,[],[f1106,f853]) ).
fof(f1106,plain,
( ! [X2,X10,X0,X1,X9] :
( ~ sP5(X0,X1,X2)
| ~ aElementOf0(X10,X0)
| ~ aElementOf0(X9,X1)
| aElementOf0(sdtpldt0(X9,X10),X2) )
| ~ spl32_114 ),
inference(avatar_component_clause,[],[f1105]) ).
fof(f6320,plain,
( spl32_424
| ~ spl32_59
| ~ spl32_92 ),
inference(avatar_split_clause,[],[f989,f902,f678,f6318]) ).
fof(f6318,plain,
( spl32_424
<=> ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0)
| sz00 = sdtpldt0(smndt0(sK30(X0,X1)),sK30(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_424])]) ).
fof(f989,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0)
| sz00 = sdtpldt0(smndt0(sK30(X0,X1)),sK30(X0,X1)) )
| ~ spl32_59
| ~ spl32_92 ),
inference(resolution,[],[f903,f679]) ).
fof(f6316,plain,
( spl32_423
| ~ spl32_58
| ~ spl32_92 ),
inference(avatar_split_clause,[],[f988,f902,f674,f6314]) ).
fof(f6314,plain,
( spl32_423
<=> ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0)
| sz00 = sdtpldt0(sK30(X0,X1),smndt0(sK30(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_423])]) ).
fof(f988,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0)
| sz00 = sdtpldt0(sK30(X0,X1),smndt0(sK30(X0,X1))) )
| ~ spl32_58
| ~ spl32_92 ),
inference(resolution,[],[f903,f675]) ).
fof(f6312,plain,
( spl32_422
| ~ spl32_68
| ~ spl32_89 ),
inference(avatar_split_clause,[],[f969,f890,f715,f6310]) ).
fof(f6310,plain,
( spl32_422
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X1,X2),X0)
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_422])]) ).
fof(f969,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X1,X2),X0)
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl32_68
| ~ spl32_89 ),
inference(resolution,[],[f891,f716]) ).
fof(f6308,plain,
( spl32_421
| ~ spl32_67
| ~ spl32_89 ),
inference(avatar_split_clause,[],[f968,f890,f711,f6306]) ).
fof(f6306,plain,
( spl32_421
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtasdt0(sdtpldt0(X1,X2),X0)
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_421])]) ).
fof(f968,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtasdt0(sdtpldt0(X1,X2),X0)
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl32_67
| ~ spl32_89 ),
inference(resolution,[],[f891,f712]) ).
fof(f6304,plain,
( spl32_420
| ~ spl32_68
| ~ spl32_88 ),
inference(avatar_split_clause,[],[f955,f886,f715,f6302]) ).
fof(f6302,plain,
( spl32_420
<=> ! [X2,X0,X1] :
( sdtpldt0(X0,sdtasdt0(X1,X2)) = sdtpldt0(sdtasdt0(X1,X2),X0)
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_420])]) ).
fof(f955,plain,
( ! [X2,X0,X1] :
( sdtpldt0(X0,sdtasdt0(X1,X2)) = sdtpldt0(sdtasdt0(X1,X2),X0)
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl32_68
| ~ spl32_88 ),
inference(resolution,[],[f887,f716]) ).
fof(f6300,plain,
( spl32_419
| ~ spl32_67
| ~ spl32_88 ),
inference(avatar_split_clause,[],[f954,f886,f711,f6298]) ).
fof(f6298,plain,
( spl32_419
<=> ! [X2,X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X1,X2),X0)
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_419])]) ).
fof(f954,plain,
( ! [X2,X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X1,X2),X0)
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl32_67
| ~ spl32_88 ),
inference(resolution,[],[f887,f712]) ).
fof(f6296,plain,
( spl32_418
| ~ spl32_59
| ~ spl32_87 ),
inference(avatar_split_clause,[],[f948,f882,f678,f6294]) ).
fof(f6294,plain,
( spl32_418
<=> ! [X0,X1] :
( sz00 = X0
| ~ aElement0(X0)
| ~ aElement0(X1)
| sz00 = sdtpldt0(smndt0(sK29(X1,X0)),sK29(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_418])]) ).
fof(f948,plain,
( ! [X0,X1] :
( sz00 = X0
| ~ aElement0(X0)
| ~ aElement0(X1)
| sz00 = sdtpldt0(smndt0(sK29(X1,X0)),sK29(X1,X0)) )
| ~ spl32_59
| ~ spl32_87 ),
inference(resolution,[],[f883,f679]) ).
fof(f6292,plain,
( spl32_417
| ~ spl32_58
| ~ spl32_87 ),
inference(avatar_split_clause,[],[f947,f882,f674,f6290]) ).
fof(f6290,plain,
( spl32_417
<=> ! [X0,X1] :
( sz00 = X0
| ~ aElement0(X0)
| ~ aElement0(X1)
| sz00 = sdtpldt0(sK29(X1,X0),smndt0(sK29(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_417])]) ).
fof(f947,plain,
( ! [X0,X1] :
( sz00 = X0
| ~ aElement0(X0)
| ~ aElement0(X1)
| sz00 = sdtpldt0(sK29(X1,X0),smndt0(sK29(X1,X0))) )
| ~ spl32_58
| ~ spl32_87 ),
inference(resolution,[],[f883,f675]) ).
fof(f6275,plain,
( spl32_416
| ~ spl32_59
| ~ spl32_86 ),
inference(avatar_split_clause,[],[f937,f878,f678,f6273]) ).
fof(f6273,plain,
( spl32_416
<=> ! [X0,X1] :
( sz00 = X0
| ~ aElement0(X0)
| ~ aElement0(X1)
| sz00 = sdtpldt0(smndt0(sK28(X1,X0)),sK28(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_416])]) ).
fof(f937,plain,
( ! [X0,X1] :
( sz00 = X0
| ~ aElement0(X0)
| ~ aElement0(X1)
| sz00 = sdtpldt0(smndt0(sK28(X1,X0)),sK28(X1,X0)) )
| ~ spl32_59
| ~ spl32_86 ),
inference(resolution,[],[f879,f679]) ).
fof(f6271,plain,
( spl32_415
| ~ spl32_58
| ~ spl32_86 ),
inference(avatar_split_clause,[],[f936,f878,f674,f6269]) ).
fof(f6269,plain,
( spl32_415
<=> ! [X0,X1] :
( sz00 = X0
| ~ aElement0(X0)
| ~ aElement0(X1)
| sz00 = sdtpldt0(sK28(X1,X0),smndt0(sK28(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_415])]) ).
fof(f936,plain,
( ! [X0,X1] :
( sz00 = X0
| ~ aElement0(X0)
| ~ aElement0(X1)
| sz00 = sdtpldt0(sK28(X1,X0),smndt0(sK28(X1,X0))) )
| ~ spl32_58
| ~ spl32_86 ),
inference(resolution,[],[f879,f675]) ).
fof(f6267,plain,
( spl32_414
| ~ spl32_59
| ~ spl32_85 ),
inference(avatar_split_clause,[],[f926,f874,f678,f6265]) ).
fof(f6265,plain,
( spl32_414
<=> ! [X0,X1] :
( sP6(X0,X1)
| ~ aIdeal0(X0)
| ~ aIdeal0(X1)
| sz00 = sdtpldt0(smndt0(sK27(X1,X0)),sK27(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_414])]) ).
fof(f926,plain,
( ! [X0,X1] :
( sP6(X0,X1)
| ~ aIdeal0(X0)
| ~ aIdeal0(X1)
| sz00 = sdtpldt0(smndt0(sK27(X1,X0)),sK27(X1,X0)) )
| ~ spl32_59
| ~ spl32_85 ),
inference(resolution,[],[f875,f679]) ).
fof(f6263,plain,
( spl32_413
| ~ spl32_58
| ~ spl32_85 ),
inference(avatar_split_clause,[],[f925,f874,f674,f6261]) ).
fof(f6261,plain,
( spl32_413
<=> ! [X0,X1] :
( sP6(X0,X1)
| ~ aIdeal0(X0)
| ~ aIdeal0(X1)
| sz00 = sdtpldt0(sK27(X1,X0),smndt0(sK27(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_413])]) ).
fof(f925,plain,
( ! [X0,X1] :
( sP6(X0,X1)
| ~ aIdeal0(X0)
| ~ aIdeal0(X1)
| sz00 = sdtpldt0(sK27(X1,X0),smndt0(sK27(X1,X0))) )
| ~ spl32_58
| ~ spl32_85 ),
inference(resolution,[],[f875,f675]) ).
fof(f5903,plain,
( spl32_412
| ~ spl32_8
| ~ spl32_139 ),
inference(avatar_split_clause,[],[f1356,f1320,f371,f5901]) ).
fof(f5901,plain,
( spl32_412
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,sK11),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sK11,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_412])]) ).
fof(f1356,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,sK11),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sK11,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) )
| ~ spl32_8
| ~ spl32_139 ),
inference(resolution,[],[f1321,f373]) ).
fof(f5899,plain,
( spl32_411
| ~ spl32_7
| ~ spl32_139 ),
inference(avatar_split_clause,[],[f1355,f1320,f366,f5897]) ).
fof(f5897,plain,
( spl32_411
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,sK10),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sK10,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_411])]) ).
fof(f1355,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,sK10),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sK10,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) )
| ~ spl32_7
| ~ spl32_139 ),
inference(resolution,[],[f1321,f368]) ).
fof(f5895,plain,
( spl32_410
| ~ spl32_4
| ~ spl32_139 ),
inference(avatar_split_clause,[],[f1354,f1320,f351,f5893]) ).
fof(f5893,plain,
( spl32_410
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,xr),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(xr,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_410])]) ).
fof(f1354,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,xr),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(xr,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) )
| ~ spl32_4
| ~ spl32_139 ),
inference(resolution,[],[f1321,f353]) ).
fof(f5891,plain,
( spl32_409
| ~ spl32_3
| ~ spl32_139 ),
inference(avatar_split_clause,[],[f1353,f1320,f346,f5889]) ).
fof(f5889,plain,
( spl32_409
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,xq),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(xq,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_409])]) ).
fof(f1353,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,xq),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(xq,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) )
| ~ spl32_3
| ~ spl32_139 ),
inference(resolution,[],[f1321,f348]) ).
fof(f5883,plain,
( spl32_408
| ~ spl32_6
| ~ spl32_139 ),
inference(avatar_split_clause,[],[f1351,f1320,f361,f5881]) ).
fof(f5881,plain,
( spl32_408
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,xb),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(xb,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_408])]) ).
fof(f1351,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,xb),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(xb,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) )
| ~ spl32_6
| ~ spl32_139 ),
inference(resolution,[],[f1321,f363]) ).
fof(f5879,plain,
( spl32_407
| ~ spl32_5
| ~ spl32_139 ),
inference(avatar_split_clause,[],[f1350,f1320,f356,f5877]) ).
fof(f5877,plain,
( spl32_407
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,xa),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(xa,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_407])]) ).
fof(f1350,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,xa),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(xa,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) )
| ~ spl32_5
| ~ spl32_139 ),
inference(resolution,[],[f1321,f358]) ).
fof(f5875,plain,
( spl32_406
| ~ spl32_8
| ~ spl32_138 ),
inference(avatar_split_clause,[],[f1339,f1316,f371,f5873]) ).
fof(f5873,plain,
( spl32_406
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sK11)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK11))
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_406])]) ).
fof(f1339,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sK11)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK11))
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl32_8
| ~ spl32_138 ),
inference(resolution,[],[f1317,f373]) ).
fof(f5871,plain,
( spl32_405
| ~ spl32_7
| ~ spl32_138 ),
inference(avatar_split_clause,[],[f1338,f1316,f366,f5869]) ).
fof(f5869,plain,
( spl32_405
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sK10)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK10))
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_405])]) ).
fof(f1338,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sK10)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK10))
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl32_7
| ~ spl32_138 ),
inference(resolution,[],[f1317,f368]) ).
fof(f5867,plain,
( spl32_404
| ~ spl32_4
| ~ spl32_138 ),
inference(avatar_split_clause,[],[f1337,f1316,f351,f5865]) ).
fof(f5865,plain,
( spl32_404
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xr)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xr))
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_404])]) ).
fof(f1337,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xr)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xr))
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl32_4
| ~ spl32_138 ),
inference(resolution,[],[f1317,f353]) ).
fof(f5863,plain,
( spl32_403
| ~ spl32_3
| ~ spl32_138 ),
inference(avatar_split_clause,[],[f1336,f1316,f346,f5861]) ).
fof(f5861,plain,
( spl32_403
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xq)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xq))
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_403])]) ).
fof(f1336,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xq)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xq))
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl32_3
| ~ spl32_138 ),
inference(resolution,[],[f1317,f348]) ).
fof(f5859,plain,
( spl32_402
| ~ spl32_6
| ~ spl32_138 ),
inference(avatar_split_clause,[],[f1334,f1316,f361,f5857]) ).
fof(f5857,plain,
( spl32_402
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xb)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xb))
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_402])]) ).
fof(f1334,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xb)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xb))
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl32_6
| ~ spl32_138 ),
inference(resolution,[],[f1317,f363]) ).
fof(f5855,plain,
( spl32_401
| ~ spl32_5
| ~ spl32_138 ),
inference(avatar_split_clause,[],[f1333,f1316,f356,f5853]) ).
fof(f5853,plain,
( spl32_401
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xa)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xa))
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_401])]) ).
fof(f1333,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xa)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xa))
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl32_5
| ~ spl32_138 ),
inference(resolution,[],[f1317,f358]) ).
fof(f5851,plain,
( ~ spl32_130
| spl32_16
| spl32_400
| ~ spl32_83
| ~ spl32_137 ),
inference(avatar_split_clause,[],[f1327,f1312,f865,f5849,f411,f1206]) ).
fof(f411,plain,
( spl32_16
<=> sz00 = xu ),
introduced(avatar_definition,[new_symbols(naming,[spl32_16])]) ).
fof(f5849,plain,
( spl32_400
<=> ! [X0] :
( sz00 = sK29(X0,xu)
| ~ aElementOf0(sK29(X0,xu),xI)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_400])]) ).
fof(f865,plain,
( spl32_83
<=> ! [X0] :
( ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
| sz00 = X0
| ~ aElementOf0(X0,xI) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_83])]) ).
fof(f1312,plain,
( spl32_137
<=> ! [X0,X1] :
( iLess0(sbrdtbr0(sK29(X0,X1)),sbrdtbr0(X1))
| sz00 = sK29(X0,X1)
| sz00 = X1
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_137])]) ).
fof(f1327,plain,
( ! [X0] :
( sz00 = sK29(X0,xu)
| sz00 = xu
| ~ aElement0(xu)
| ~ aElement0(X0)
| ~ aElementOf0(sK29(X0,xu),xI) )
| ~ spl32_83
| ~ spl32_137 ),
inference(duplicate_literal_removal,[],[f1326]) ).
fof(f1326,plain,
( ! [X0] :
( sz00 = sK29(X0,xu)
| sz00 = xu
| ~ aElement0(xu)
| ~ aElement0(X0)
| sz00 = sK29(X0,xu)
| ~ aElementOf0(sK29(X0,xu),xI) )
| ~ spl32_83
| ~ spl32_137 ),
inference(resolution,[],[f1313,f866]) ).
fof(f866,plain,
( ! [X0] :
( ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
| sz00 = X0
| ~ aElementOf0(X0,xI) )
| ~ spl32_83 ),
inference(avatar_component_clause,[],[f865]) ).
fof(f1313,plain,
( ! [X0,X1] :
( iLess0(sbrdtbr0(sK29(X0,X1)),sbrdtbr0(X1))
| sz00 = sK29(X0,X1)
| sz00 = X1
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl32_137 ),
inference(avatar_component_clause,[],[f1312]) ).
fof(f5534,plain,
( spl32_399
| spl32_19
| ~ spl32_9
| ~ spl32_134 ),
inference(avatar_split_clause,[],[f1272,f1255,f376,f426,f5532]) ).
fof(f5532,plain,
( spl32_399
<=> ! [X0] :
( sdtpldt0(sdtasdt0(sK28(X0,sz10),sz10),sK29(X0,sz10)) = X0
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_399])]) ).
fof(f426,plain,
( spl32_19
<=> sz00 = sz10 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_19])]) ).
fof(f1272,plain,
( ! [X0] :
( sz00 = sz10
| sdtpldt0(sdtasdt0(sK28(X0,sz10),sz10),sK29(X0,sz10)) = X0
| ~ aElement0(X0) )
| ~ spl32_9
| ~ spl32_134 ),
inference(resolution,[],[f1256,f378]) ).
fof(f5530,plain,
( spl32_398
| ~ spl32_41
| ~ spl32_124 ),
inference(avatar_split_clause,[],[f1199,f1169,f539,f5528]) ).
fof(f5528,plain,
( spl32_398
<=> ! [X0,X1] :
( aElementOf0(sK18(X0,X1),X1)
| X0 = X1
| ~ aSet0(X1)
| ~ aSet0(X0)
| aElement0(sK19(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_398])]) ).
fof(f1199,plain,
( ! [X0,X1] :
( aElementOf0(sK18(X0,X1),X1)
| X0 = X1
| ~ aSet0(X1)
| ~ aSet0(X0)
| aElement0(sK19(X0,X1)) )
| ~ spl32_41
| ~ spl32_124 ),
inference(duplicate_literal_removal,[],[f1195]) ).
fof(f1195,plain,
( ! [X0,X1] :
( aElementOf0(sK18(X0,X1),X1)
| X0 = X1
| ~ aSet0(X1)
| ~ aSet0(X0)
| aElement0(sK19(X0,X1))
| ~ aSet0(X0) )
| ~ spl32_41
| ~ spl32_124 ),
inference(resolution,[],[f1170,f540]) ).
fof(f5526,plain,
( spl32_397
| ~ spl32_41
| ~ spl32_124 ),
inference(avatar_split_clause,[],[f1198,f1169,f539,f5524]) ).
fof(f5524,plain,
( spl32_397
<=> ! [X0,X1] :
( aElementOf0(sK19(X0,X1),X0)
| X0 = X1
| ~ aSet0(X1)
| ~ aSet0(X0)
| aElement0(sK18(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_397])]) ).
fof(f1198,plain,
( ! [X0,X1] :
( aElementOf0(sK19(X0,X1),X0)
| X0 = X1
| ~ aSet0(X1)
| ~ aSet0(X0)
| aElement0(sK18(X0,X1)) )
| ~ spl32_41
| ~ spl32_124 ),
inference(duplicate_literal_removal,[],[f1197]) ).
fof(f1197,plain,
( ! [X0,X1] :
( aElementOf0(sK19(X0,X1),X0)
| X0 = X1
| ~ aSet0(X1)
| ~ aSet0(X0)
| aElement0(sK18(X0,X1))
| ~ aSet0(X1) )
| ~ spl32_41
| ~ spl32_124 ),
inference(resolution,[],[f1170,f540]) ).
fof(f5522,plain,
( spl32_396
| ~ spl32_61
| ~ spl32_121 ),
inference(avatar_split_clause,[],[f1160,f1139,f686,f5520]) ).
fof(f5520,plain,
( spl32_396
<=> ! [X2,X0,X1] :
( ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aIdeal0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0)
| sP2(X2,sdtpldt0(X0,smndt0(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_396])]) ).
fof(f1160,plain,
( ! [X2,X0,X1] :
( ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aIdeal0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0)
| sP2(X2,sdtpldt0(X0,smndt0(X1))) )
| ~ spl32_61
| ~ spl32_121 ),
inference(duplicate_literal_removal,[],[f1158]) ).
fof(f1158,plain,
( ! [X2,X0,X1] :
( ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aIdeal0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0)
| sP2(X2,sdtpldt0(X0,smndt0(X1)))
| ~ aIdeal0(X2) )
| ~ spl32_61
| ~ spl32_121 ),
inference(resolution,[],[f1140,f687]) ).
fof(f5518,plain,
( spl32_395
| ~ spl32_61
| ~ spl32_104 ),
inference(avatar_split_clause,[],[f1071,f1056,f686,f5516]) ).
fof(f5516,plain,
( spl32_395
<=> ! [X0,X1] :
( aElement0(sK13(X0,X1))
| sP0(X0,X1)
| ~ aSet0(X1)
| sP2(X1,sK12(X0,X1))
| ~ aIdeal0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_395])]) ).
fof(f1056,plain,
( spl32_104
<=> ! [X0,X1] :
( sP0(X0,X1)
| aElement0(sK13(X0,X1))
| aElementOf0(sK12(X0,X1),X1)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_104])]) ).
fof(f1071,plain,
( ! [X0,X1] :
( aElement0(sK13(X0,X1))
| sP0(X0,X1)
| ~ aSet0(X1)
| sP2(X1,sK12(X0,X1))
| ~ aIdeal0(X1) )
| ~ spl32_61
| ~ spl32_104 ),
inference(resolution,[],[f1057,f687]) ).
fof(f1057,plain,
( ! [X0,X1] :
( aElementOf0(sK12(X0,X1),X1)
| aElement0(sK13(X0,X1))
| sP0(X0,X1)
| ~ aSet0(X1) )
| ~ spl32_104 ),
inference(avatar_component_clause,[],[f1056]) ).
fof(f5514,plain,
( spl32_394
| ~ spl32_44
| ~ spl32_101 ),
inference(avatar_split_clause,[],[f1042,f1025,f552,f5512]) ).
fof(f5512,plain,
( spl32_394
<=> ! [X0,X3,X2,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| ~ sP6(X2,X3)
| sz00 = sdtasdt0(sz00,sK26(X2,X3,X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_394])]) ).
fof(f1042,plain,
( ! [X2,X3,X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| ~ sP6(X2,X3)
| sz00 = sdtasdt0(sz00,sK26(X2,X3,X1,X0)) )
| ~ spl32_44
| ~ spl32_101 ),
inference(resolution,[],[f1026,f553]) ).
fof(f5510,plain,
( spl32_393
| ~ spl32_42
| ~ spl32_101 ),
inference(avatar_split_clause,[],[f1041,f1025,f543,f5508]) ).
fof(f5508,plain,
( spl32_393
<=> ! [X0,X3,X2,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| ~ sP6(X2,X3)
| sz00 = sdtasdt0(sK26(X2,X3,X1,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_393])]) ).
fof(f1041,plain,
( ! [X2,X3,X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| ~ sP6(X2,X3)
| sz00 = sdtasdt0(sK26(X2,X3,X1,X0),sz00) )
| ~ spl32_42
| ~ spl32_101 ),
inference(resolution,[],[f1026,f544]) ).
fof(f5493,plain,
( spl32_392
| ~ spl32_48
| ~ spl32_92 ),
inference(avatar_split_clause,[],[f987,f902,f568,f5491]) ).
fof(f5491,plain,
( spl32_392
<=> ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0)
| sK30(X0,X1) = sdtasdt0(sz10,sK30(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_392])]) ).
fof(f987,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0)
| sK30(X0,X1) = sdtasdt0(sz10,sK30(X0,X1)) )
| ~ spl32_48
| ~ spl32_92 ),
inference(resolution,[],[f903,f569]) ).
fof(f5489,plain,
( spl32_391
| ~ spl32_47
| ~ spl32_92 ),
inference(avatar_split_clause,[],[f986,f902,f564,f5487]) ).
fof(f5487,plain,
( spl32_391
<=> ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0)
| sK30(X0,X1) = sdtasdt0(sK30(X0,X1),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_391])]) ).
fof(f986,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0)
| sK30(X0,X1) = sdtasdt0(sK30(X0,X1),sz10) )
| ~ spl32_47
| ~ spl32_92 ),
inference(resolution,[],[f903,f565]) ).
fof(f5485,plain,
( spl32_390
| ~ spl32_46
| ~ spl32_92 ),
inference(avatar_split_clause,[],[f985,f902,f560,f5483]) ).
fof(f5483,plain,
( spl32_390
<=> ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0)
| sK30(X0,X1) = sdtpldt0(sz00,sK30(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_390])]) ).
fof(f985,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0)
| sK30(X0,X1) = sdtpldt0(sz00,sK30(X0,X1)) )
| ~ spl32_46
| ~ spl32_92 ),
inference(resolution,[],[f903,f561]) ).
fof(f5481,plain,
( spl32_389
| ~ spl32_45
| ~ spl32_92 ),
inference(avatar_split_clause,[],[f984,f902,f556,f5479]) ).
fof(f5479,plain,
( spl32_389
<=> ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0)
| sK30(X0,X1) = sdtpldt0(sK30(X0,X1),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_389])]) ).
fof(f984,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0)
| sK30(X0,X1) = sdtpldt0(sK30(X0,X1),sz00) )
| ~ spl32_45
| ~ spl32_92 ),
inference(resolution,[],[f903,f557]) ).
fof(f5477,plain,
( spl32_388
| ~ spl32_48
| ~ spl32_87 ),
inference(avatar_split_clause,[],[f946,f882,f568,f5475]) ).
fof(f5475,plain,
( spl32_388
<=> ! [X0,X1] :
( sz00 = X0
| ~ aElement0(X0)
| ~ aElement0(X1)
| sK29(X1,X0) = sdtasdt0(sz10,sK29(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_388])]) ).
fof(f946,plain,
( ! [X0,X1] :
( sz00 = X0
| ~ aElement0(X0)
| ~ aElement0(X1)
| sK29(X1,X0) = sdtasdt0(sz10,sK29(X1,X0)) )
| ~ spl32_48
| ~ spl32_87 ),
inference(resolution,[],[f883,f569]) ).
fof(f5473,plain,
( spl32_387
| ~ spl32_47
| ~ spl32_87 ),
inference(avatar_split_clause,[],[f945,f882,f564,f5471]) ).
fof(f5471,plain,
( spl32_387
<=> ! [X0,X1] :
( sz00 = X0
| ~ aElement0(X0)
| ~ aElement0(X1)
| sK29(X1,X0) = sdtasdt0(sK29(X1,X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_387])]) ).
fof(f945,plain,
( ! [X0,X1] :
( sz00 = X0
| ~ aElement0(X0)
| ~ aElement0(X1)
| sK29(X1,X0) = sdtasdt0(sK29(X1,X0),sz10) )
| ~ spl32_47
| ~ spl32_87 ),
inference(resolution,[],[f883,f565]) ).
fof(f5469,plain,
( spl32_386
| ~ spl32_46
| ~ spl32_87 ),
inference(avatar_split_clause,[],[f944,f882,f560,f5467]) ).
fof(f5467,plain,
( spl32_386
<=> ! [X0,X1] :
( sz00 = X0
| ~ aElement0(X0)
| ~ aElement0(X1)
| sK29(X1,X0) = sdtpldt0(sz00,sK29(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_386])]) ).
fof(f944,plain,
( ! [X0,X1] :
( sz00 = X0
| ~ aElement0(X0)
| ~ aElement0(X1)
| sK29(X1,X0) = sdtpldt0(sz00,sK29(X1,X0)) )
| ~ spl32_46
| ~ spl32_87 ),
inference(resolution,[],[f883,f561]) ).
fof(f5465,plain,
( spl32_385
| ~ spl32_45
| ~ spl32_87 ),
inference(avatar_split_clause,[],[f943,f882,f556,f5463]) ).
fof(f5463,plain,
( spl32_385
<=> ! [X0,X1] :
( sz00 = X0
| ~ aElement0(X0)
| ~ aElement0(X1)
| sK29(X1,X0) = sdtpldt0(sK29(X1,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_385])]) ).
fof(f943,plain,
( ! [X0,X1] :
( sz00 = X0
| ~ aElement0(X0)
| ~ aElement0(X1)
| sK29(X1,X0) = sdtpldt0(sK29(X1,X0),sz00) )
| ~ spl32_45
| ~ spl32_87 ),
inference(resolution,[],[f883,f557]) ).
fof(f5461,plain,
( spl32_384
| ~ spl32_48
| ~ spl32_86 ),
inference(avatar_split_clause,[],[f935,f878,f568,f5459]) ).
fof(f5459,plain,
( spl32_384
<=> ! [X0,X1] :
( sz00 = X0
| ~ aElement0(X0)
| ~ aElement0(X1)
| sK28(X1,X0) = sdtasdt0(sz10,sK28(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_384])]) ).
fof(f935,plain,
( ! [X0,X1] :
( sz00 = X0
| ~ aElement0(X0)
| ~ aElement0(X1)
| sK28(X1,X0) = sdtasdt0(sz10,sK28(X1,X0)) )
| ~ spl32_48
| ~ spl32_86 ),
inference(resolution,[],[f879,f569]) ).
fof(f5457,plain,
( spl32_383
| ~ spl32_47
| ~ spl32_86 ),
inference(avatar_split_clause,[],[f934,f878,f564,f5455]) ).
fof(f5455,plain,
( spl32_383
<=> ! [X0,X1] :
( sz00 = X0
| ~ aElement0(X0)
| ~ aElement0(X1)
| sK28(X1,X0) = sdtasdt0(sK28(X1,X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_383])]) ).
fof(f934,plain,
( ! [X0,X1] :
( sz00 = X0
| ~ aElement0(X0)
| ~ aElement0(X1)
| sK28(X1,X0) = sdtasdt0(sK28(X1,X0),sz10) )
| ~ spl32_47
| ~ spl32_86 ),
inference(resolution,[],[f879,f565]) ).
fof(f5453,plain,
( spl32_382
| ~ spl32_25
| ~ spl32_215 ),
inference(avatar_split_clause,[],[f2122,f2118,f456,f5450]) ).
fof(f5450,plain,
( spl32_382
<=> sP1(smndt0(sdtasdt0(xq,xu))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_382])]) ).
fof(f456,plain,
( spl32_25
<=> ! [X0] :
( sP1(X0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_25])]) ).
fof(f2118,plain,
( spl32_215
<=> aElement0(smndt0(sdtasdt0(xq,xu))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_215])]) ).
fof(f2122,plain,
( sP1(smndt0(sdtasdt0(xq,xu)))
| ~ spl32_25
| ~ spl32_215 ),
inference(resolution,[],[f2120,f457]) ).
fof(f457,plain,
( ! [X0] :
( ~ aElement0(X0)
| sP1(X0) )
| ~ spl32_25 ),
inference(avatar_component_clause,[],[f456]) ).
fof(f2120,plain,
( aElement0(smndt0(sdtasdt0(xq,xu)))
| ~ spl32_215 ),
inference(avatar_component_clause,[],[f2118]) ).
fof(f5448,plain,
( spl32_381
| ~ spl32_46
| ~ spl32_86 ),
inference(avatar_split_clause,[],[f933,f878,f560,f5446]) ).
fof(f5446,plain,
( spl32_381
<=> ! [X0,X1] :
( sz00 = X0
| ~ aElement0(X0)
| ~ aElement0(X1)
| sK28(X1,X0) = sdtpldt0(sz00,sK28(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_381])]) ).
fof(f933,plain,
( ! [X0,X1] :
( sz00 = X0
| ~ aElement0(X0)
| ~ aElement0(X1)
| sK28(X1,X0) = sdtpldt0(sz00,sK28(X1,X0)) )
| ~ spl32_46
| ~ spl32_86 ),
inference(resolution,[],[f879,f561]) ).
fof(f5444,plain,
( spl32_380
| ~ spl32_45
| ~ spl32_86 ),
inference(avatar_split_clause,[],[f932,f878,f556,f5442]) ).
fof(f5442,plain,
( spl32_380
<=> ! [X0,X1] :
( sz00 = X0
| ~ aElement0(X0)
| ~ aElement0(X1)
| sK28(X1,X0) = sdtpldt0(sK28(X1,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_380])]) ).
fof(f932,plain,
( ! [X0,X1] :
( sz00 = X0
| ~ aElement0(X0)
| ~ aElement0(X1)
| sK28(X1,X0) = sdtpldt0(sK28(X1,X0),sz00) )
| ~ spl32_45
| ~ spl32_86 ),
inference(resolution,[],[f879,f557]) ).
fof(f5440,plain,
( spl32_379
| ~ spl32_48
| ~ spl32_85 ),
inference(avatar_split_clause,[],[f924,f874,f568,f5438]) ).
fof(f5438,plain,
( spl32_379
<=> ! [X0,X1] :
( sP6(X0,X1)
| ~ aIdeal0(X0)
| ~ aIdeal0(X1)
| sK27(X1,X0) = sdtasdt0(sz10,sK27(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_379])]) ).
fof(f924,plain,
( ! [X0,X1] :
( sP6(X0,X1)
| ~ aIdeal0(X0)
| ~ aIdeal0(X1)
| sK27(X1,X0) = sdtasdt0(sz10,sK27(X1,X0)) )
| ~ spl32_48
| ~ spl32_85 ),
inference(resolution,[],[f875,f569]) ).
fof(f5436,plain,
( spl32_378
| ~ spl32_47
| ~ spl32_85 ),
inference(avatar_split_clause,[],[f923,f874,f564,f5434]) ).
fof(f5434,plain,
( spl32_378
<=> ! [X0,X1] :
( sP6(X0,X1)
| ~ aIdeal0(X0)
| ~ aIdeal0(X1)
| sK27(X1,X0) = sdtasdt0(sK27(X1,X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_378])]) ).
fof(f923,plain,
( ! [X0,X1] :
( sP6(X0,X1)
| ~ aIdeal0(X0)
| ~ aIdeal0(X1)
| sK27(X1,X0) = sdtasdt0(sK27(X1,X0),sz10) )
| ~ spl32_47
| ~ spl32_85 ),
inference(resolution,[],[f875,f565]) ).
fof(f5432,plain,
( spl32_377
| ~ spl32_46
| ~ spl32_85 ),
inference(avatar_split_clause,[],[f922,f874,f560,f5430]) ).
fof(f5430,plain,
( spl32_377
<=> ! [X0,X1] :
( sP6(X0,X1)
| ~ aIdeal0(X0)
| ~ aIdeal0(X1)
| sK27(X1,X0) = sdtpldt0(sz00,sK27(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_377])]) ).
fof(f922,plain,
( ! [X0,X1] :
( sP6(X0,X1)
| ~ aIdeal0(X0)
| ~ aIdeal0(X1)
| sK27(X1,X0) = sdtpldt0(sz00,sK27(X1,X0)) )
| ~ spl32_46
| ~ spl32_85 ),
inference(resolution,[],[f875,f561]) ).
fof(f5428,plain,
( spl32_376
| ~ spl32_45
| ~ spl32_85 ),
inference(avatar_split_clause,[],[f921,f874,f556,f5426]) ).
fof(f5426,plain,
( spl32_376
<=> ! [X0,X1] :
( sP6(X0,X1)
| ~ aIdeal0(X0)
| ~ aIdeal0(X1)
| sK27(X1,X0) = sdtpldt0(sK27(X1,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_376])]) ).
fof(f921,plain,
( ! [X0,X1] :
( sP6(X0,X1)
| ~ aIdeal0(X0)
| ~ aIdeal0(X1)
| sK27(X1,X0) = sdtpldt0(sK27(X1,X0),sz00) )
| ~ spl32_45
| ~ spl32_85 ),
inference(resolution,[],[f875,f557]) ).
fof(f5401,plain,
( spl32_374
| spl32_375
| ~ spl32_8
| ~ spl32_134 ),
inference(avatar_split_clause,[],[f1281,f1255,f371,f5398,f5395]) ).
fof(f5395,plain,
( spl32_374
<=> ! [X0] :
( sdtpldt0(sdtasdt0(sK28(X0,sK11),sK11),sK29(X0,sK11)) = X0
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_374])]) ).
fof(f5398,plain,
( spl32_375
<=> sz00 = sK11 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_375])]) ).
fof(f1281,plain,
( ! [X0] :
( sz00 = sK11
| sdtpldt0(sdtasdt0(sK28(X0,sK11),sK11),sK29(X0,sK11)) = X0
| ~ aElement0(X0) )
| ~ spl32_8
| ~ spl32_134 ),
inference(resolution,[],[f1256,f373]) ).
fof(f5366,plain,
( spl32_372
| spl32_373
| ~ spl32_7
| ~ spl32_134 ),
inference(avatar_split_clause,[],[f1280,f1255,f366,f5363,f5360]) ).
fof(f5360,plain,
( spl32_372
<=> ! [X0] :
( sdtpldt0(sdtasdt0(sK28(X0,sK10),sK10),sK29(X0,sK10)) = X0
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_372])]) ).
fof(f5363,plain,
( spl32_373
<=> sz00 = sK10 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_373])]) ).
fof(f1280,plain,
( ! [X0] :
( sz00 = sK10
| sdtpldt0(sdtasdt0(sK28(X0,sK10),sK10),sK29(X0,sK10)) = X0
| ~ aElement0(X0) )
| ~ spl32_7
| ~ spl32_134 ),
inference(resolution,[],[f1256,f368]) ).
fof(f5335,plain,
( spl32_371
| spl32_11
| ~ spl32_4
| ~ spl32_134 ),
inference(avatar_split_clause,[],[f1279,f1255,f351,f386,f5333]) ).
fof(f5333,plain,
( spl32_371
<=> ! [X0] :
( sdtpldt0(sdtasdt0(sK28(X0,xr),xr),sK29(X0,xr)) = X0
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_371])]) ).
fof(f386,plain,
( spl32_11
<=> sz00 = xr ),
introduced(avatar_definition,[new_symbols(naming,[spl32_11])]) ).
fof(f1279,plain,
( ! [X0] :
( sz00 = xr
| sdtpldt0(sdtasdt0(sK28(X0,xr),xr),sK29(X0,xr)) = X0
| ~ aElement0(X0) )
| ~ spl32_4
| ~ spl32_134 ),
inference(resolution,[],[f1256,f353]) ).
fof(f5308,plain,
( spl32_369
| spl32_370
| ~ spl32_3
| ~ spl32_134 ),
inference(avatar_split_clause,[],[f1278,f1255,f346,f5305,f5302]) ).
fof(f5302,plain,
( spl32_369
<=> ! [X0] :
( sdtpldt0(sdtasdt0(sK28(X0,xq),xq),sK29(X0,xq)) = X0
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_369])]) ).
fof(f5305,plain,
( spl32_370
<=> sz00 = xq ),
introduced(avatar_definition,[new_symbols(naming,[spl32_370])]) ).
fof(f1278,plain,
( ! [X0] :
( sz00 = xq
| sdtpldt0(sdtasdt0(sK28(X0,xq),xq),sK29(X0,xq)) = X0
| ~ aElement0(X0) )
| ~ spl32_3
| ~ spl32_134 ),
inference(resolution,[],[f1256,f348]) ).
fof(f5277,plain,
( spl32_367
| spl32_368
| ~ spl32_6
| ~ spl32_134 ),
inference(avatar_split_clause,[],[f1277,f1255,f361,f5274,f5271]) ).
fof(f5271,plain,
( spl32_367
<=> ! [X0] :
( sdtpldt0(sdtasdt0(sK28(X0,xb),xb),sK29(X0,xb)) = X0
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_367])]) ).
fof(f5274,plain,
( spl32_368
<=> sz00 = xb ),
introduced(avatar_definition,[new_symbols(naming,[spl32_368])]) ).
fof(f1277,plain,
( ! [X0] :
( sz00 = xb
| sdtpldt0(sdtasdt0(sK28(X0,xb),xb),sK29(X0,xb)) = X0
| ~ aElement0(X0) )
| ~ spl32_6
| ~ spl32_134 ),
inference(resolution,[],[f1256,f363]) ).
fof(f5242,plain,
( spl32_366
| spl32_35
| ~ spl32_5
| ~ spl32_134 ),
inference(avatar_split_clause,[],[f1276,f1255,f356,f510,f5240]) ).
fof(f5240,plain,
( spl32_366
<=> ! [X0] :
( sdtpldt0(sdtasdt0(sK28(X0,xa),xa),sK29(X0,xa)) = X0
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_366])]) ).
fof(f510,plain,
( spl32_35
<=> sz00 = xa ),
introduced(avatar_definition,[new_symbols(naming,[spl32_35])]) ).
fof(f1276,plain,
( ! [X0] :
( sz00 = xa
| sdtpldt0(sdtasdt0(sK28(X0,xa),xa),sK29(X0,xa)) = X0
| ~ aElement0(X0) )
| ~ spl32_5
| ~ spl32_134 ),
inference(resolution,[],[f1256,f358]) ).
fof(f4986,plain,
( spl32_365
| ~ spl32_9
| ~ spl32_129 ),
inference(avatar_split_clause,[],[f1227,f1189,f376,f4984]) ).
fof(f4984,plain,
( spl32_365
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sz10) = sdtasdt0(X0,sdtasdt0(X1,sz10))
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_365])]) ).
fof(f1227,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sz10) = sdtasdt0(X0,sdtasdt0(X1,sz10))
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl32_9
| ~ spl32_129 ),
inference(resolution,[],[f1190,f378]) ).
fof(f4982,plain,
( spl32_364
| ~ spl32_10
| ~ spl32_129 ),
inference(avatar_split_clause,[],[f1226,f1189,f381,f4980]) ).
fof(f4980,plain,
( spl32_364
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sz00) = sdtasdt0(X0,sdtasdt0(X1,sz00))
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_364])]) ).
fof(f1226,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sz00) = sdtasdt0(X0,sdtasdt0(X1,sz00))
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl32_10
| ~ spl32_129 ),
inference(resolution,[],[f1190,f383]) ).
fof(f4978,plain,
( spl32_363
| ~ spl32_9
| ~ spl32_128 ),
inference(avatar_split_clause,[],[f1211,f1185,f376,f4976]) ).
fof(f4976,plain,
( spl32_363
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sz10) = sdtpldt0(X0,sdtpldt0(X1,sz10))
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_363])]) ).
fof(f1211,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sz10) = sdtpldt0(X0,sdtpldt0(X1,sz10))
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl32_9
| ~ spl32_128 ),
inference(resolution,[],[f1186,f378]) ).
fof(f4974,plain,
( spl32_362
| ~ spl32_10
| ~ spl32_128 ),
inference(avatar_split_clause,[],[f1210,f1185,f381,f4972]) ).
fof(f4972,plain,
( spl32_362
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(X0,sdtpldt0(X1,sz00))
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_362])]) ).
fof(f1210,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(X0,sdtpldt0(X1,sz00))
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl32_10
| ~ spl32_128 ),
inference(resolution,[],[f1186,f383]) ).
fof(f4970,plain,
( spl32_361
| ~ spl32_81
| ~ spl32_109 ),
inference(avatar_split_clause,[],[f1108,f1085,f848,f4968]) ).
fof(f4968,plain,
( spl32_361
<=> ! [X0,X1] :
( sP2(X0,X1)
| aElementOf0(sK16(X0,X1),X0)
| ~ aElement0(X1)
| ~ sP0(sK15(X0,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_361])]) ).
fof(f1085,plain,
( spl32_109
<=> ! [X0,X1] :
( sP2(X0,X1)
| ~ aElementOf0(sdtasdt0(sK15(X0,X1),X1),X0)
| aElementOf0(sK16(X0,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_109])]) ).
fof(f1108,plain,
( ! [X0,X1] :
( sP2(X0,X1)
| aElementOf0(sK16(X0,X1),X0)
| ~ aElement0(X1)
| ~ sP0(sK15(X0,X1),X0) )
| ~ spl32_81
| ~ spl32_109 ),
inference(resolution,[],[f1086,f849]) ).
fof(f1086,plain,
( ! [X0,X1] :
( ~ aElementOf0(sdtasdt0(sK15(X0,X1),X1),X0)
| sP2(X0,X1)
| aElementOf0(sK16(X0,X1),X0) )
| ~ spl32_109 ),
inference(avatar_component_clause,[],[f1085]) ).
fof(f4966,plain,
( spl32_360
| ~ spl32_82
| ~ spl32_100 ),
inference(avatar_split_clause,[],[f1039,f1021,f852,f4964]) ).
fof(f4964,plain,
( spl32_360
<=> ! [X2,X0,X1] :
( ~ aElementOf0(X0,sdtpldt1(X1,X2))
| aElementOf0(sK25(X2,X1,X0),X2)
| ~ aSet0(X2)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_360])]) ).
fof(f1021,plain,
( spl32_100
<=> ! [X0,X8,X2,X1] :
( aElementOf0(sK25(X0,X1,X8),X0)
| ~ aElementOf0(X8,X2)
| ~ sP5(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_100])]) ).
fof(f1039,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X0,sdtpldt1(X1,X2))
| aElementOf0(sK25(X2,X1,X0),X2)
| ~ aSet0(X2)
| ~ aSet0(X1) )
| ~ spl32_82
| ~ spl32_100 ),
inference(resolution,[],[f1022,f853]) ).
fof(f1022,plain,
( ! [X2,X0,X1,X8] :
( ~ sP5(X0,X1,X2)
| ~ aElementOf0(X8,X2)
| aElementOf0(sK25(X0,X1,X8),X0) )
| ~ spl32_100 ),
inference(avatar_component_clause,[],[f1021]) ).
fof(f4962,plain,
( spl32_359
| ~ spl32_82
| ~ spl32_99 ),
inference(avatar_split_clause,[],[f1038,f1017,f852,f4960]) ).
fof(f4960,plain,
( spl32_359
<=> ! [X2,X0,X1] :
( ~ aElementOf0(X0,sdtpldt1(X1,X2))
| aElementOf0(sK24(X2,X1,X0),X1)
| ~ aSet0(X2)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_359])]) ).
fof(f1017,plain,
( spl32_99
<=> ! [X0,X8,X2,X1] :
( aElementOf0(sK24(X0,X1,X8),X1)
| ~ aElementOf0(X8,X2)
| ~ sP5(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_99])]) ).
fof(f1038,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X0,sdtpldt1(X1,X2))
| aElementOf0(sK24(X2,X1,X0),X1)
| ~ aSet0(X2)
| ~ aSet0(X1) )
| ~ spl32_82
| ~ spl32_99 ),
inference(resolution,[],[f1018,f853]) ).
fof(f1018,plain,
( ! [X2,X0,X1,X8] :
( ~ sP5(X0,X1,X2)
| ~ aElementOf0(X8,X2)
| aElementOf0(sK24(X0,X1,X8),X1) )
| ~ spl32_99 ),
inference(avatar_component_clause,[],[f1017]) ).
fof(f4945,plain,
( spl32_358
| ~ spl32_68
| ~ spl32_73 ),
inference(avatar_split_clause,[],[f817,f791,f715,f4943]) ).
fof(f4943,plain,
( spl32_358
<=> ! [X0,X1] :
( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(X0,X1),smndt0(sz10))
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_358])]) ).
fof(f817,plain,
( ! [X0,X1] :
( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(X0,X1),smndt0(sz10))
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl32_68
| ~ spl32_73 ),
inference(resolution,[],[f792,f716]) ).
fof(f4941,plain,
( spl32_357
| ~ spl32_67
| ~ spl32_73 ),
inference(avatar_split_clause,[],[f816,f791,f711,f4939]) ).
fof(f4939,plain,
( spl32_357
<=> ! [X0,X1] :
( smndt0(sdtpldt0(X0,X1)) = sdtasdt0(sdtpldt0(X0,X1),smndt0(sz10))
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_357])]) ).
fof(f816,plain,
( ! [X0,X1] :
( smndt0(sdtpldt0(X0,X1)) = sdtasdt0(sdtpldt0(X0,X1),smndt0(sz10))
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl32_67
| ~ spl32_73 ),
inference(resolution,[],[f792,f712]) ).
fof(f4937,plain,
( spl32_356
| ~ spl32_68
| ~ spl32_72 ),
inference(avatar_split_clause,[],[f806,f787,f715,f4935]) ).
fof(f4935,plain,
( spl32_356
<=> ! [X0,X1] :
( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(sz10),sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_356])]) ).
fof(f806,plain,
( ! [X0,X1] :
( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(sz10),sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl32_68
| ~ spl32_72 ),
inference(resolution,[],[f788,f716]) ).
fof(f4933,plain,
( spl32_355
| ~ spl32_67
| ~ spl32_72 ),
inference(avatar_split_clause,[],[f805,f787,f711,f4931]) ).
fof(f4931,plain,
( spl32_355
<=> ! [X0,X1] :
( smndt0(sdtpldt0(X0,X1)) = sdtasdt0(smndt0(sz10),sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_355])]) ).
fof(f805,plain,
( ! [X0,X1] :
( smndt0(sdtpldt0(X0,X1)) = sdtasdt0(smndt0(sz10),sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl32_67
| ~ spl32_72 ),
inference(resolution,[],[f788,f712]) ).
fof(f4753,plain,
( spl32_354
| ~ spl32_48
| ~ spl32_144 ),
inference(avatar_split_clause,[],[f1404,f1394,f568,f4750]) ).
fof(f4750,plain,
( spl32_354
<=> sK9 = sdtasdt0(sz10,sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_354])]) ).
fof(f1404,plain,
( sK9 = sdtasdt0(sz10,sK9)
| ~ spl32_48
| ~ spl32_144 ),
inference(resolution,[],[f1396,f569]) ).
fof(f4574,plain,
( spl32_353
| ~ spl32_8
| ~ spl32_129 ),
inference(avatar_split_clause,[],[f1236,f1189,f371,f4572]) ).
fof(f4572,plain,
( spl32_353
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sK11) = sdtasdt0(X0,sdtasdt0(X1,sK11))
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_353])]) ).
fof(f1236,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sK11) = sdtasdt0(X0,sdtasdt0(X1,sK11))
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl32_8
| ~ spl32_129 ),
inference(resolution,[],[f1190,f373]) ).
fof(f4570,plain,
( spl32_352
| ~ spl32_7
| ~ spl32_129 ),
inference(avatar_split_clause,[],[f1235,f1189,f366,f4568]) ).
fof(f4568,plain,
( spl32_352
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sK10) = sdtasdt0(X0,sdtasdt0(X1,sK10))
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_352])]) ).
fof(f1235,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sK10) = sdtasdt0(X0,sdtasdt0(X1,sK10))
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl32_7
| ~ spl32_129 ),
inference(resolution,[],[f1190,f368]) ).
fof(f4566,plain,
( spl32_351
| ~ spl32_4
| ~ spl32_129 ),
inference(avatar_split_clause,[],[f1234,f1189,f351,f4564]) ).
fof(f4564,plain,
( spl32_351
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xr) = sdtasdt0(X0,sdtasdt0(X1,xr))
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_351])]) ).
fof(f1234,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xr) = sdtasdt0(X0,sdtasdt0(X1,xr))
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl32_4
| ~ spl32_129 ),
inference(resolution,[],[f1190,f353]) ).
fof(f4562,plain,
( spl32_350
| ~ spl32_3
| ~ spl32_129 ),
inference(avatar_split_clause,[],[f1233,f1189,f346,f4560]) ).
fof(f4560,plain,
( spl32_350
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xq) = sdtasdt0(X0,sdtasdt0(X1,xq))
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_350])]) ).
fof(f1233,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xq) = sdtasdt0(X0,sdtasdt0(X1,xq))
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl32_3
| ~ spl32_129 ),
inference(resolution,[],[f1190,f348]) ).
fof(f4558,plain,
( spl32_349
| ~ spl32_47
| ~ spl32_144 ),
inference(avatar_split_clause,[],[f1403,f1394,f564,f4555]) ).
fof(f4555,plain,
( spl32_349
<=> sK9 = sdtasdt0(sK9,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_349])]) ).
fof(f1403,plain,
( sK9 = sdtasdt0(sK9,sz10)
| ~ spl32_47
| ~ spl32_144 ),
inference(resolution,[],[f1396,f565]) ).
fof(f4553,plain,
( spl32_348
| ~ spl32_6
| ~ spl32_129 ),
inference(avatar_split_clause,[],[f1232,f1189,f361,f4551]) ).
fof(f4551,plain,
( spl32_348
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xb) = sdtasdt0(X0,sdtasdt0(X1,xb))
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_348])]) ).
fof(f1232,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xb) = sdtasdt0(X0,sdtasdt0(X1,xb))
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl32_6
| ~ spl32_129 ),
inference(resolution,[],[f1190,f363]) ).
fof(f4549,plain,
( spl32_347
| ~ spl32_5
| ~ spl32_129 ),
inference(avatar_split_clause,[],[f1231,f1189,f356,f4547]) ).
fof(f4547,plain,
( spl32_347
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xa) = sdtasdt0(X0,sdtasdt0(X1,xa))
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_347])]) ).
fof(f1231,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xa) = sdtasdt0(X0,sdtasdt0(X1,xa))
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl32_5
| ~ spl32_129 ),
inference(resolution,[],[f1190,f358]) ).
fof(f4545,plain,
( spl32_346
| ~ spl32_8
| ~ spl32_128 ),
inference(avatar_split_clause,[],[f1220,f1185,f371,f4543]) ).
fof(f4543,plain,
( spl32_346
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sK11) = sdtpldt0(X0,sdtpldt0(X1,sK11))
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_346])]) ).
fof(f1220,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sK11) = sdtpldt0(X0,sdtpldt0(X1,sK11))
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl32_8
| ~ spl32_128 ),
inference(resolution,[],[f1186,f373]) ).
fof(f4541,plain,
( spl32_345
| ~ spl32_7
| ~ spl32_128 ),
inference(avatar_split_clause,[],[f1219,f1185,f366,f4539]) ).
fof(f4539,plain,
( spl32_345
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sK10) = sdtpldt0(X0,sdtpldt0(X1,sK10))
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_345])]) ).
fof(f1219,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sK10) = sdtpldt0(X0,sdtpldt0(X1,sK10))
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl32_7
| ~ spl32_128 ),
inference(resolution,[],[f1186,f368]) ).
fof(f4537,plain,
( spl32_344
| ~ spl32_4
| ~ spl32_128 ),
inference(avatar_split_clause,[],[f1218,f1185,f351,f4535]) ).
fof(f4535,plain,
( spl32_344
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xr) = sdtpldt0(X0,sdtpldt0(X1,xr))
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_344])]) ).
fof(f1218,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xr) = sdtpldt0(X0,sdtpldt0(X1,xr))
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl32_4
| ~ spl32_128 ),
inference(resolution,[],[f1186,f353]) ).
fof(f4533,plain,
( spl32_343
| ~ spl32_3
| ~ spl32_128 ),
inference(avatar_split_clause,[],[f1217,f1185,f346,f4531]) ).
fof(f4531,plain,
( spl32_343
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xq) = sdtpldt0(X0,sdtpldt0(X1,xq))
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_343])]) ).
fof(f1217,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xq) = sdtpldt0(X0,sdtpldt0(X1,xq))
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl32_3
| ~ spl32_128 ),
inference(resolution,[],[f1186,f348]) ).
fof(f4529,plain,
( spl32_342
| ~ spl32_6
| ~ spl32_128 ),
inference(avatar_split_clause,[],[f1216,f1185,f361,f4527]) ).
fof(f4527,plain,
( spl32_342
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xb) = sdtpldt0(X0,sdtpldt0(X1,xb))
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_342])]) ).
fof(f1216,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xb) = sdtpldt0(X0,sdtpldt0(X1,xb))
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl32_6
| ~ spl32_128 ),
inference(resolution,[],[f1186,f363]) ).
fof(f4525,plain,
( spl32_341
| ~ spl32_5
| ~ spl32_128 ),
inference(avatar_split_clause,[],[f1215,f1185,f356,f4523]) ).
fof(f4523,plain,
( spl32_341
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xa) = sdtpldt0(X0,sdtpldt0(X1,xa))
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_341])]) ).
fof(f1215,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xa) = sdtpldt0(X0,sdtpldt0(X1,xa))
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl32_5
| ~ spl32_128 ),
inference(resolution,[],[f1186,f358]) ).
fof(f4505,plain,
( spl32_340
| ~ spl32_46
| ~ spl32_144 ),
inference(avatar_split_clause,[],[f1402,f1394,f560,f4502]) ).
fof(f4502,plain,
( spl32_340
<=> sK9 = sdtpldt0(sz00,sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_340])]) ).
fof(f1402,plain,
( sK9 = sdtpldt0(sz00,sK9)
| ~ spl32_46
| ~ spl32_144 ),
inference(resolution,[],[f1396,f561]) ).
fof(f4374,plain,
( spl32_339
| ~ spl32_45
| ~ spl32_144 ),
inference(avatar_split_clause,[],[f1401,f1394,f556,f4371]) ).
fof(f4371,plain,
( spl32_339
<=> sK9 = sdtpldt0(sK9,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_339])]) ).
fof(f1401,plain,
( sK9 = sdtpldt0(sK9,sz00)
| ~ spl32_45
| ~ spl32_144 ),
inference(resolution,[],[f1396,f557]) ).
fof(f4300,plain,
( spl32_338
| ~ spl32_75
| ~ spl32_98 ),
inference(avatar_split_clause,[],[f1037,f1013,f799,f4298]) ).
fof(f4298,plain,
( spl32_338
<=> ! [X2,X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ aElementOf0(X0,X2)
| aElementOf0(X0,sdtasasdt0(X2,X1))
| ~ sP4(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_338])]) ).
fof(f799,plain,
( spl32_75
<=> ! [X0,X1] :
( sP3(X1,X0,sdtasasdt0(X0,X1))
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_75])]) ).
fof(f1013,plain,
( spl32_98
<=> ! [X4,X0,X2,X1] :
( aElementOf0(X4,X2)
| ~ aElementOf0(X4,X0)
| ~ aElementOf0(X4,X1)
| ~ sP3(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_98])]) ).
fof(f1037,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ aElementOf0(X0,X2)
| aElementOf0(X0,sdtasasdt0(X2,X1))
| ~ sP4(X2,X1) )
| ~ spl32_75
| ~ spl32_98 ),
inference(resolution,[],[f1014,f800]) ).
fof(f800,plain,
( ! [X0,X1] :
( sP3(X1,X0,sdtasasdt0(X0,X1))
| ~ sP4(X0,X1) )
| ~ spl32_75 ),
inference(avatar_component_clause,[],[f799]) ).
fof(f1014,plain,
( ! [X2,X0,X1,X4] :
( ~ sP3(X0,X1,X2)
| ~ aElementOf0(X4,X0)
| ~ aElementOf0(X4,X1)
| aElementOf0(X4,X2) )
| ~ spl32_98 ),
inference(avatar_component_clause,[],[f1013]) ).
fof(f4296,plain,
( spl32_337
| ~ spl32_61
| ~ spl32_95 ),
inference(avatar_split_clause,[],[f1004,f997,f686,f4294]) ).
fof(f4294,plain,
( spl32_337
<=> ! [X0,X1] :
( aElement0(sK15(X0,X1))
| sP2(X0,X1)
| sP2(X0,sK16(X0,X1))
| ~ aIdeal0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_337])]) ).
fof(f997,plain,
( spl32_95
<=> ! [X0,X1] :
( sP2(X0,X1)
| aElement0(sK15(X0,X1))
| aElementOf0(sK16(X0,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_95])]) ).
fof(f1004,plain,
( ! [X0,X1] :
( aElement0(sK15(X0,X1))
| sP2(X0,X1)
| sP2(X0,sK16(X0,X1))
| ~ aIdeal0(X0) )
| ~ spl32_61
| ~ spl32_95 ),
inference(resolution,[],[f998,f687]) ).
fof(f998,plain,
( ! [X0,X1] :
( aElementOf0(sK16(X0,X1),X0)
| aElement0(sK15(X0,X1))
| sP2(X0,X1) )
| ~ spl32_95 ),
inference(avatar_component_clause,[],[f997]) ).
fof(f4292,plain,
( spl32_336
| ~ spl32_90
| ~ spl32_93 ),
inference(avatar_split_clause,[],[f995,f906,f894,f4290]) ).
fof(f4290,plain,
( spl32_336
<=> ! [X0,X1] :
( sP7(sz10,X0,X1)
| ~ sP8(X1,X0)
| ~ misRelativelyPrime0(X1,X0)
| ~ aElement0(X0)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_336])]) ).
fof(f894,plain,
( spl32_90
<=> ! [X0,X1] :
( aGcdOfAnd0(sz10,X0,X1)
| ~ misRelativelyPrime0(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_90])]) ).
fof(f906,plain,
( spl32_93
<=> ! [X2,X0,X1] :
( sP7(X2,X1,X0)
| ~ aGcdOfAnd0(X2,X0,X1)
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_93])]) ).
fof(f995,plain,
( ! [X0,X1] :
( sP7(sz10,X0,X1)
| ~ sP8(X1,X0)
| ~ misRelativelyPrime0(X1,X0)
| ~ aElement0(X0)
| ~ aElement0(X1) )
| ~ spl32_90
| ~ spl32_93 ),
inference(resolution,[],[f907,f895]) ).
fof(f895,plain,
( ! [X0,X1] :
( aGcdOfAnd0(sz10,X0,X1)
| ~ misRelativelyPrime0(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl32_90 ),
inference(avatar_component_clause,[],[f894]) ).
fof(f907,plain,
( ! [X2,X0,X1] :
( ~ aGcdOfAnd0(X2,X0,X1)
| sP7(X2,X1,X0)
| ~ sP8(X0,X1) )
| ~ spl32_93 ),
inference(avatar_component_clause,[],[f906]) ).
fof(f4288,plain,
( spl32_335
| ~ spl32_44
| ~ spl32_92 ),
inference(avatar_split_clause,[],[f983,f902,f552,f4286]) ).
fof(f4286,plain,
( spl32_335
<=> ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0)
| sz00 = sdtasdt0(sz00,sK30(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_335])]) ).
fof(f983,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0)
| sz00 = sdtasdt0(sz00,sK30(X0,X1)) )
| ~ spl32_44
| ~ spl32_92 ),
inference(resolution,[],[f903,f553]) ).
fof(f4284,plain,
( spl32_334
| ~ spl32_42
| ~ spl32_92 ),
inference(avatar_split_clause,[],[f982,f902,f543,f4282]) ).
fof(f4282,plain,
( spl32_334
<=> ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0)
| sz00 = sdtasdt0(sK30(X0,X1),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_334])]) ).
fof(f982,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0)
| sz00 = sdtasdt0(sK30(X0,X1),sz00) )
| ~ spl32_42
| ~ spl32_92 ),
inference(resolution,[],[f903,f544]) ).
fof(f4280,plain,
( spl32_333
| ~ spl32_44
| ~ spl32_87 ),
inference(avatar_split_clause,[],[f942,f882,f552,f4278]) ).
fof(f4278,plain,
( spl32_333
<=> ! [X0,X1] :
( sz00 = X0
| ~ aElement0(X0)
| ~ aElement0(X1)
| sz00 = sdtasdt0(sz00,sK29(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_333])]) ).
fof(f942,plain,
( ! [X0,X1] :
( sz00 = X0
| ~ aElement0(X0)
| ~ aElement0(X1)
| sz00 = sdtasdt0(sz00,sK29(X1,X0)) )
| ~ spl32_44
| ~ spl32_87 ),
inference(resolution,[],[f883,f553]) ).
fof(f4276,plain,
( spl32_332
| ~ spl32_42
| ~ spl32_87 ),
inference(avatar_split_clause,[],[f941,f882,f543,f4274]) ).
fof(f4274,plain,
( spl32_332
<=> ! [X0,X1] :
( sz00 = X0
| ~ aElement0(X0)
| ~ aElement0(X1)
| sz00 = sdtasdt0(sK29(X1,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_332])]) ).
fof(f941,plain,
( ! [X0,X1] :
( sz00 = X0
| ~ aElement0(X0)
| ~ aElement0(X1)
| sz00 = sdtasdt0(sK29(X1,X0),sz00) )
| ~ spl32_42
| ~ spl32_87 ),
inference(resolution,[],[f883,f544]) ).
fof(f4272,plain,
( spl32_331
| ~ spl32_44
| ~ spl32_144 ),
inference(avatar_split_clause,[],[f1400,f1394,f552,f4269]) ).
fof(f4269,plain,
( spl32_331
<=> sz00 = sdtasdt0(sz00,sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_331])]) ).
fof(f1400,plain,
( sz00 = sdtasdt0(sz00,sK9)
| ~ spl32_44
| ~ spl32_144 ),
inference(resolution,[],[f1396,f553]) ).
fof(f4267,plain,
( spl32_330
| ~ spl32_44
| ~ spl32_86 ),
inference(avatar_split_clause,[],[f931,f878,f552,f4265]) ).
fof(f4265,plain,
( spl32_330
<=> ! [X0,X1] :
( sz00 = X0
| ~ aElement0(X0)
| ~ aElement0(X1)
| sz00 = sdtasdt0(sz00,sK28(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_330])]) ).
fof(f931,plain,
( ! [X0,X1] :
( sz00 = X0
| ~ aElement0(X0)
| ~ aElement0(X1)
| sz00 = sdtasdt0(sz00,sK28(X1,X0)) )
| ~ spl32_44
| ~ spl32_86 ),
inference(resolution,[],[f879,f553]) ).
fof(f4263,plain,
( spl32_329
| ~ spl32_42
| ~ spl32_86 ),
inference(avatar_split_clause,[],[f930,f878,f543,f4261]) ).
fof(f4261,plain,
( spl32_329
<=> ! [X0,X1] :
( sz00 = X0
| ~ aElement0(X0)
| ~ aElement0(X1)
| sz00 = sdtasdt0(sK28(X1,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_329])]) ).
fof(f930,plain,
( ! [X0,X1] :
( sz00 = X0
| ~ aElement0(X0)
| ~ aElement0(X1)
| sz00 = sdtasdt0(sK28(X1,X0),sz00) )
| ~ spl32_42
| ~ spl32_86 ),
inference(resolution,[],[f879,f544]) ).
fof(f4259,plain,
( spl32_328
| ~ spl32_44
| ~ spl32_85 ),
inference(avatar_split_clause,[],[f920,f874,f552,f4257]) ).
fof(f4257,plain,
( spl32_328
<=> ! [X0,X1] :
( sP6(X0,X1)
| ~ aIdeal0(X0)
| ~ aIdeal0(X1)
| sz00 = sdtasdt0(sz00,sK27(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_328])]) ).
fof(f920,plain,
( ! [X0,X1] :
( sP6(X0,X1)
| ~ aIdeal0(X0)
| ~ aIdeal0(X1)
| sz00 = sdtasdt0(sz00,sK27(X1,X0)) )
| ~ spl32_44
| ~ spl32_85 ),
inference(resolution,[],[f875,f553]) ).
fof(f4255,plain,
( spl32_327
| ~ spl32_42
| ~ spl32_85 ),
inference(avatar_split_clause,[],[f919,f874,f543,f4253]) ).
fof(f4253,plain,
( spl32_327
<=> ! [X0,X1] :
( sP6(X0,X1)
| ~ aIdeal0(X0)
| ~ aIdeal0(X1)
| sz00 = sdtasdt0(sK27(X1,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_327])]) ).
fof(f919,plain,
( ! [X0,X1] :
( sP6(X0,X1)
| ~ aIdeal0(X0)
| ~ aIdeal0(X1)
| sz00 = sdtasdt0(sK27(X1,X0),sz00) )
| ~ spl32_42
| ~ spl32_85 ),
inference(resolution,[],[f875,f544]) ).
fof(f4251,plain,
( spl32_326
| ~ spl32_59
| ~ spl32_68 ),
inference(avatar_split_clause,[],[f778,f715,f678,f4249]) ).
fof(f4249,plain,
( spl32_326
<=> ! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sz00 = sdtpldt0(smndt0(sdtasdt0(X1,X0)),sdtasdt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_326])]) ).
fof(f778,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sz00 = sdtpldt0(smndt0(sdtasdt0(X1,X0)),sdtasdt0(X1,X0)) )
| ~ spl32_59
| ~ spl32_68 ),
inference(resolution,[],[f716,f679]) ).
fof(f4247,plain,
( spl32_325
| ~ spl32_58
| ~ spl32_68 ),
inference(avatar_split_clause,[],[f777,f715,f674,f4245]) ).
fof(f4245,plain,
( spl32_325
<=> ! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sz00 = sdtpldt0(sdtasdt0(X1,X0),smndt0(sdtasdt0(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_325])]) ).
fof(f777,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sz00 = sdtpldt0(sdtasdt0(X1,X0),smndt0(sdtasdt0(X1,X0))) )
| ~ spl32_58
| ~ spl32_68 ),
inference(resolution,[],[f716,f675]) ).
fof(f4243,plain,
( spl32_324
| ~ spl32_59
| ~ spl32_67 ),
inference(avatar_split_clause,[],[f767,f711,f678,f4241]) ).
fof(f4241,plain,
( spl32_324
<=> ! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sz00 = sdtpldt0(smndt0(sdtpldt0(X1,X0)),sdtpldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_324])]) ).
fof(f767,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sz00 = sdtpldt0(smndt0(sdtpldt0(X1,X0)),sdtpldt0(X1,X0)) )
| ~ spl32_59
| ~ spl32_67 ),
inference(resolution,[],[f712,f679]) ).
fof(f4239,plain,
( spl32_323
| ~ spl32_58
| ~ spl32_67 ),
inference(avatar_split_clause,[],[f766,f711,f674,f4237]) ).
fof(f4237,plain,
( spl32_323
<=> ! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sz00 = sdtpldt0(sdtpldt0(X1,X0),smndt0(sdtpldt0(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_323])]) ).
fof(f766,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sz00 = sdtpldt0(sdtpldt0(X1,X0),smndt0(sdtpldt0(X1,X0))) )
| ~ spl32_58
| ~ spl32_67 ),
inference(resolution,[],[f712,f675]) ).
fof(f4094,plain,
( spl32_322
| ~ spl32_42
| ~ spl32_144 ),
inference(avatar_split_clause,[],[f1399,f1394,f543,f4091]) ).
fof(f4091,plain,
( spl32_322
<=> sz00 = sdtasdt0(sK9,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_322])]) ).
fof(f1399,plain,
( sz00 = sdtasdt0(sK9,sz00)
| ~ spl32_42
| ~ spl32_144 ),
inference(resolution,[],[f1396,f544]) ).
fof(f3840,plain,
( spl32_321
| ~ spl32_48
| ~ spl32_130 ),
inference(avatar_split_clause,[],[f1293,f1206,f568,f3837]) ).
fof(f3837,plain,
( spl32_321
<=> xu = sdtasdt0(sz10,xu) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_321])]) ).
fof(f1293,plain,
( xu = sdtasdt0(sz10,xu)
| ~ spl32_48
| ~ spl32_130 ),
inference(resolution,[],[f1208,f569]) ).
fof(f3751,plain,
( spl32_320
| ~ spl32_41
| ~ spl32_104 ),
inference(avatar_split_clause,[],[f1073,f1056,f539,f3749]) ).
fof(f3749,plain,
( spl32_320
<=> ! [X0,X1] :
( aElement0(sK13(X0,X1))
| sP0(X0,X1)
| ~ aSet0(X1)
| aElement0(sK12(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_320])]) ).
fof(f1073,plain,
( ! [X0,X1] :
( aElement0(sK13(X0,X1))
| sP0(X0,X1)
| ~ aSet0(X1)
| aElement0(sK12(X0,X1)) )
| ~ spl32_41
| ~ spl32_104 ),
inference(duplicate_literal_removal,[],[f1072]) ).
fof(f1072,plain,
( ! [X0,X1] :
( aElement0(sK13(X0,X1))
| sP0(X0,X1)
| ~ aSet0(X1)
| aElement0(sK12(X0,X1))
| ~ aSet0(X1) )
| ~ spl32_41
| ~ spl32_104 ),
inference(resolution,[],[f1057,f540]) ).
fof(f3747,plain,
( spl32_319
| ~ spl32_76
| ~ spl32_103 ),
inference(avatar_split_clause,[],[f1054,f1033,f828,f3745]) ).
fof(f828,plain,
( spl32_76
<=> ! [X0,X1] :
( aDivisorOf0(X1,X0)
| ~ doDivides0(X1,X0)
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_76])]) ).
fof(f1054,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(sdtasdt0(X1,X0))
| ~ aElement0(X1)
| aDivisorOf0(X1,sdtasdt0(X1,X0)) )
| ~ spl32_76
| ~ spl32_103 ),
inference(duplicate_literal_removal,[],[f1053]) ).
fof(f1053,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(sdtasdt0(X1,X0))
| ~ aElement0(X1)
| aDivisorOf0(X1,sdtasdt0(X1,X0))
| ~ aElement0(X1)
| ~ aElement0(sdtasdt0(X1,X0)) )
| ~ spl32_76
| ~ spl32_103 ),
inference(resolution,[],[f1034,f829]) ).
fof(f829,plain,
( ! [X0,X1] :
( ~ doDivides0(X1,X0)
| aDivisorOf0(X1,X0)
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl32_76 ),
inference(avatar_component_clause,[],[f828]) ).
fof(f3743,plain,
( spl32_318
| ~ spl32_25
| ~ spl32_101 ),
inference(avatar_split_clause,[],[f1040,f1025,f456,f3741]) ).
fof(f3741,plain,
( spl32_318
<=> ! [X0,X3,X2,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| ~ sP6(X2,X3)
| sP1(sK26(X2,X3,X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_318])]) ).
fof(f1040,plain,
( ! [X2,X3,X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| ~ sP6(X2,X3)
| sP1(sK26(X2,X3,X1,X0)) )
| ~ spl32_25
| ~ spl32_101 ),
inference(resolution,[],[f1026,f457]) ).
fof(f3739,plain,
( spl32_317
| ~ spl32_38
| ~ spl32_97 ),
inference(avatar_split_clause,[],[f1036,f1009,f524,f3737]) ).
fof(f3737,plain,
( spl32_317
<=> ! [X0,X1] :
( ~ aElementOf0(X0,slsdtgt0(X1))
| sdtasdt0(X1,sK14(X1,X0)) = X0
| ~ sP1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_317])]) ).
fof(f524,plain,
( spl32_38
<=> ! [X0] :
( sP0(X0,slsdtgt0(X0))
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_38])]) ).
fof(f1009,plain,
( spl32_97
<=> ! [X5,X0,X1] :
( sdtasdt0(X0,sK14(X0,X5)) = X5
| ~ aElementOf0(X5,X1)
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_97])]) ).
fof(f1036,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,slsdtgt0(X1))
| sdtasdt0(X1,sK14(X1,X0)) = X0
| ~ sP1(X1) )
| ~ spl32_38
| ~ spl32_97 ),
inference(resolution,[],[f1010,f525]) ).
fof(f525,plain,
( ! [X0] :
( sP0(X0,slsdtgt0(X0))
| ~ sP1(X0) )
| ~ spl32_38 ),
inference(avatar_component_clause,[],[f524]) ).
fof(f1010,plain,
( ! [X0,X1,X5] :
( ~ sP0(X0,X1)
| ~ aElementOf0(X5,X1)
| sdtasdt0(X0,sK14(X0,X5)) = X5 )
| ~ spl32_97 ),
inference(avatar_component_clause,[],[f1009]) ).
fof(f3735,plain,
( spl32_316
| ~ spl32_41
| ~ spl32_95 ),
inference(avatar_split_clause,[],[f1005,f997,f539,f3733]) ).
fof(f3733,plain,
( spl32_316
<=> ! [X0,X1] :
( aElement0(sK15(X0,X1))
| sP2(X0,X1)
| aElement0(sK16(X0,X1))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_316])]) ).
fof(f1005,plain,
( ! [X0,X1] :
( aElement0(sK15(X0,X1))
| sP2(X0,X1)
| aElement0(sK16(X0,X1))
| ~ aSet0(X0) )
| ~ spl32_41
| ~ spl32_95 ),
inference(resolution,[],[f998,f540]) ).
fof(f3731,plain,
( spl32_315
| ~ spl32_28
| ~ spl32_89 ),
inference(avatar_split_clause,[],[f967,f890,f477,f3729]) ).
fof(f3729,plain,
( spl32_315
<=> ! [X0,X1] :
( sdtasdt0(X0,smndt0(X1)) = sdtasdt0(smndt0(X1),X0)
| ~ aElement0(X0)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_315])]) ).
fof(f967,plain,
( ! [X0,X1] :
( sdtasdt0(X0,smndt0(X1)) = sdtasdt0(smndt0(X1),X0)
| ~ aElement0(X0)
| ~ aElement0(X1) )
| ~ spl32_28
| ~ spl32_89 ),
inference(resolution,[],[f891,f478]) ).
fof(f3727,plain,
( spl32_314
| ~ spl32_47
| ~ spl32_130 ),
inference(avatar_split_clause,[],[f1292,f1206,f564,f3724]) ).
fof(f3724,plain,
( spl32_314
<=> xu = sdtasdt0(xu,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_314])]) ).
fof(f1292,plain,
( xu = sdtasdt0(xu,sz10)
| ~ spl32_47
| ~ spl32_130 ),
inference(resolution,[],[f1208,f565]) ).
fof(f3722,plain,
( spl32_313
| ~ spl32_28
| ~ spl32_88 ),
inference(avatar_split_clause,[],[f953,f886,f477,f3720]) ).
fof(f3720,plain,
( spl32_313
<=> ! [X0,X1] :
( sdtpldt0(X0,smndt0(X1)) = sdtpldt0(smndt0(X1),X0)
| ~ aElement0(X0)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_313])]) ).
fof(f953,plain,
( ! [X0,X1] :
( sdtpldt0(X0,smndt0(X1)) = sdtpldt0(smndt0(X1),X0)
| ~ aElement0(X0)
| ~ aElement0(X1) )
| ~ spl32_28
| ~ spl32_88 ),
inference(resolution,[],[f887,f478]) ).
fof(f3718,plain,
( spl32_312
| ~ spl32_61
| ~ spl32_84 ),
inference(avatar_split_clause,[],[f913,f870,f686,f3716]) ).
fof(f3716,plain,
( spl32_312
<=> ! [X2,X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP2(X1,X2)
| sP2(X1,sdtpldt0(X2,X0))
| ~ aIdeal0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_312])]) ).
fof(f913,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP2(X1,X2)
| sP2(X1,sdtpldt0(X2,X0))
| ~ aIdeal0(X1) )
| ~ spl32_61
| ~ spl32_84 ),
inference(resolution,[],[f871,f687]) ).
fof(f3714,plain,
( spl32_311
| ~ spl32_48
| ~ spl32_68 ),
inference(avatar_split_clause,[],[f776,f715,f568,f3712]) ).
fof(f3712,plain,
( spl32_311
<=> ! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(X1,X0) = sdtasdt0(sz10,sdtasdt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_311])]) ).
fof(f776,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(X1,X0) = sdtasdt0(sz10,sdtasdt0(X1,X0)) )
| ~ spl32_48
| ~ spl32_68 ),
inference(resolution,[],[f716,f569]) ).
fof(f3710,plain,
( spl32_310
| ~ spl32_47
| ~ spl32_68 ),
inference(avatar_split_clause,[],[f775,f715,f564,f3708]) ).
fof(f3708,plain,
( spl32_310
<=> ! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(X1,X0) = sdtasdt0(sdtasdt0(X1,X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_310])]) ).
fof(f775,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(X1,X0) = sdtasdt0(sdtasdt0(X1,X0),sz10) )
| ~ spl32_47
| ~ spl32_68 ),
inference(resolution,[],[f716,f565]) ).
fof(f3706,plain,
( spl32_309
| ~ spl32_46
| ~ spl32_68 ),
inference(avatar_split_clause,[],[f774,f715,f560,f3704]) ).
fof(f3704,plain,
( spl32_309
<=> ! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(X1,X0) = sdtpldt0(sz00,sdtasdt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_309])]) ).
fof(f774,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(X1,X0) = sdtpldt0(sz00,sdtasdt0(X1,X0)) )
| ~ spl32_46
| ~ spl32_68 ),
inference(resolution,[],[f716,f561]) ).
fof(f3702,plain,
( spl32_308
| ~ spl32_45
| ~ spl32_68 ),
inference(avatar_split_clause,[],[f773,f715,f556,f3700]) ).
fof(f3700,plain,
( spl32_308
<=> ! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(X1,X0) = sdtpldt0(sdtasdt0(X1,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_308])]) ).
fof(f773,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(X1,X0) = sdtpldt0(sdtasdt0(X1,X0),sz00) )
| ~ spl32_45
| ~ spl32_68 ),
inference(resolution,[],[f716,f557]) ).
fof(f3698,plain,
( spl32_307
| ~ spl32_48
| ~ spl32_67 ),
inference(avatar_split_clause,[],[f765,f711,f568,f3696]) ).
fof(f3696,plain,
( spl32_307
<=> ! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtpldt0(X1,X0) = sdtasdt0(sz10,sdtpldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_307])]) ).
fof(f765,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtpldt0(X1,X0) = sdtasdt0(sz10,sdtpldt0(X1,X0)) )
| ~ spl32_48
| ~ spl32_67 ),
inference(resolution,[],[f712,f569]) ).
fof(f3694,plain,
( spl32_306
| ~ spl32_47
| ~ spl32_67 ),
inference(avatar_split_clause,[],[f764,f711,f564,f3692]) ).
fof(f3692,plain,
( spl32_306
<=> ! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtpldt0(X1,X0) = sdtasdt0(sdtpldt0(X1,X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_306])]) ).
fof(f764,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtpldt0(X1,X0) = sdtasdt0(sdtpldt0(X1,X0),sz10) )
| ~ spl32_47
| ~ spl32_67 ),
inference(resolution,[],[f712,f565]) ).
fof(f3690,plain,
( spl32_305
| ~ spl32_46
| ~ spl32_67 ),
inference(avatar_split_clause,[],[f763,f711,f560,f3688]) ).
fof(f3688,plain,
( spl32_305
<=> ! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtpldt0(X1,X0) = sdtpldt0(sz00,sdtpldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_305])]) ).
fof(f763,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtpldt0(X1,X0) = sdtpldt0(sz00,sdtpldt0(X1,X0)) )
| ~ spl32_46
| ~ spl32_67 ),
inference(resolution,[],[f712,f561]) ).
fof(f3686,plain,
( spl32_304
| ~ spl32_45
| ~ spl32_67 ),
inference(avatar_split_clause,[],[f762,f711,f556,f3684]) ).
fof(f3684,plain,
( spl32_304
<=> ! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtpldt0(X1,X0) = sdtpldt0(sdtpldt0(X1,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_304])]) ).
fof(f762,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtpldt0(X1,X0) = sdtpldt0(sdtpldt0(X1,X0),sz00) )
| ~ spl32_45
| ~ spl32_67 ),
inference(resolution,[],[f712,f557]) ).
fof(f3680,plain,
( spl32_303
| ~ spl32_7
| ~ spl32_8
| ~ spl32_258
| ~ spl32_259
| ~ spl32_302 ),
inference(avatar_split_clause,[],[f3676,f3672,f2607,f2603,f371,f366,f3678]) ).
fof(f3678,plain,
( spl32_303
<=> ! [X0] :
( ~ sP2(X0,sdtasdt0(sK10,xa))
| ~ aElementOf0(sdtasdt0(sK11,xb),X0)
| aElementOf0(xu,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_303])]) ).
fof(f3672,plain,
( spl32_302
<=> ! [X0] :
( aElementOf0(xu,X0)
| ~ aElementOf0(sdtasdt0(xb,sK11),X0)
| ~ sP2(X0,sdtasdt0(xa,sK10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_302])]) ).
fof(f3676,plain,
( ! [X0] :
( ~ sP2(X0,sdtasdt0(sK10,xa))
| ~ aElementOf0(sdtasdt0(sK11,xb),X0)
| aElementOf0(xu,X0) )
| ~ spl32_7
| ~ spl32_8
| ~ spl32_258
| ~ spl32_259
| ~ spl32_302 ),
inference(forward_demodulation,[],[f3675,f2770]) ).
fof(f3675,plain,
( ! [X0] :
( ~ aElementOf0(sdtasdt0(sK11,xb),X0)
| aElementOf0(xu,X0)
| ~ sP2(X0,sdtasdt0(xa,sK10)) )
| ~ spl32_8
| ~ spl32_259
| ~ spl32_302 ),
inference(forward_demodulation,[],[f3673,f2793]) ).
fof(f3673,plain,
( ! [X0] :
( aElementOf0(xu,X0)
| ~ aElementOf0(sdtasdt0(xb,sK11),X0)
| ~ sP2(X0,sdtasdt0(xa,sK10)) )
| ~ spl32_302 ),
inference(avatar_component_clause,[],[f3672]) ).
fof(f3674,plain,
( spl32_302
| ~ spl32_71
| ~ spl32_84 ),
inference(avatar_split_clause,[],[f916,f870,f781,f3672]) ).
fof(f916,plain,
( ! [X0] :
( aElementOf0(xu,X0)
| ~ aElementOf0(sdtasdt0(xb,sK11),X0)
| ~ sP2(X0,sdtasdt0(xa,sK10)) )
| ~ spl32_71
| ~ spl32_84 ),
inference(superposition,[],[f871,f783]) ).
fof(f3546,plain,
( spl32_301
| ~ spl32_132 ),
inference(avatar_split_clause,[],[f1268,f1247,f3544]) ).
fof(f3544,plain,
( spl32_301
<=> ! [X0,X1] :
( aElementOf0(sK20(X0,X1,X0),X0)
| sP3(X0,X1,X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_301])]) ).
fof(f1268,plain,
( ! [X0,X1] :
( aElementOf0(sK20(X0,X1,X0),X0)
| sP3(X0,X1,X0)
| ~ aSet0(X0) )
| ~ spl32_132 ),
inference(factoring,[],[f1248]) ).
fof(f3542,plain,
( spl32_300
| ~ spl32_131 ),
inference(avatar_split_clause,[],[f1262,f1243,f3540]) ).
fof(f3540,plain,
( spl32_300
<=> ! [X0,X1] :
( aElementOf0(sK20(X0,X1,X1),X1)
| sP3(X0,X1,X1)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_300])]) ).
fof(f1262,plain,
( ! [X0,X1] :
( aElementOf0(sK20(X0,X1,X1),X1)
| sP3(X0,X1,X1)
| ~ aSet0(X1) )
| ~ spl32_131 ),
inference(factoring,[],[f1244]) ).
fof(f3538,plain,
( spl32_299
| ~ spl32_25
| ~ spl32_293 ),
inference(avatar_split_clause,[],[f3456,f3303,f456,f3535]) ).
fof(f3535,plain,
( spl32_299
<=> sP1(xc) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_299])]) ).
fof(f3456,plain,
( sP1(xc)
| ~ spl32_25
| ~ spl32_293 ),
inference(resolution,[],[f3305,f457]) ).
fof(f3533,plain,
( spl32_298
| ~ spl32_41
| ~ spl32_84 ),
inference(avatar_split_clause,[],[f914,f870,f539,f3531]) ).
fof(f3531,plain,
( spl32_298
<=> ! [X2,X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP2(X1,X2)
| aElement0(sdtpldt0(X2,X0))
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_298])]) ).
fof(f914,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP2(X1,X2)
| aElement0(sdtpldt0(X2,X0))
| ~ aSet0(X1) )
| ~ spl32_41
| ~ spl32_84 ),
inference(resolution,[],[f871,f540]) ).
fof(f3529,plain,
( spl32_297
| ~ spl32_61
| ~ spl32_81 ),
inference(avatar_split_clause,[],[f861,f848,f686,f3527]) ).
fof(f3527,plain,
( spl32_297
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ sP0(X1,X2)
| sP2(X2,sdtasdt0(X1,X0))
| ~ aIdeal0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_297])]) ).
fof(f861,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ sP0(X1,X2)
| sP2(X2,sdtasdt0(X1,X0))
| ~ aIdeal0(X2) )
| ~ spl32_61
| ~ spl32_81 ),
inference(resolution,[],[f849,f687]) ).
fof(f3525,plain,
( spl32_296
| ~ spl32_61
| ~ spl32_78 ),
inference(avatar_split_clause,[],[f857,f836,f686,f3523]) ).
fof(f3523,plain,
( spl32_296
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ sP2(X1,X2)
| sP2(X1,sdtasdt0(X0,X2))
| ~ aIdeal0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_296])]) ).
fof(f836,plain,
( spl32_78
<=> ! [X4,X0,X1] :
( aElementOf0(sdtasdt0(X4,X1),X0)
| ~ aElement0(X4)
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_78])]) ).
fof(f857,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ sP2(X1,X2)
| sP2(X1,sdtasdt0(X0,X2))
| ~ aIdeal0(X1) )
| ~ spl32_61
| ~ spl32_78 ),
inference(resolution,[],[f837,f687]) ).
fof(f837,plain,
( ! [X0,X1,X4] :
( aElementOf0(sdtasdt0(X4,X1),X0)
| ~ aElement0(X4)
| ~ sP2(X0,X1) )
| ~ spl32_78 ),
inference(avatar_component_clause,[],[f836]) ).
fof(f3520,plain,
( spl32_295
| ~ spl32_56
| ~ spl32_84 ),
inference(avatar_split_clause,[],[f917,f870,f664,f3518]) ).
fof(f917,plain,
( ! [X0] :
( aElementOf0(xr,X0)
| ~ aElementOf0(xb,X0)
| ~ sP2(X0,smndt0(sdtasdt0(xq,xu))) )
| ~ spl32_56
| ~ spl32_84 ),
inference(superposition,[],[f871,f666]) ).
fof(f3511,plain,
( ~ spl32_234
| ~ spl32_237
| spl32_294
| ~ spl32_39
| ~ spl32_82 ),
inference(avatar_split_clause,[],[f863,f852,f529,f3508,f2288,f2235]) ).
fof(f2235,plain,
( spl32_234
<=> aSet0(slsdtgt0(xa)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_234])]) ).
fof(f2288,plain,
( spl32_237
<=> aSet0(slsdtgt0(xb)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_237])]) ).
fof(f3508,plain,
( spl32_294
<=> sP5(slsdtgt0(xb),slsdtgt0(xa),xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_294])]) ).
fof(f863,plain,
( sP5(slsdtgt0(xb),slsdtgt0(xa),xI)
| ~ aSet0(slsdtgt0(xb))
| ~ aSet0(slsdtgt0(xa))
| ~ spl32_39
| ~ spl32_82 ),
inference(superposition,[],[f853,f531]) ).
fof(f3306,plain,
( ~ spl32_6
| spl32_293
| ~ spl32_49
| ~ spl32_256 ),
inference(avatar_split_clause,[],[f2895,f2594,f572,f3303,f361]) ).
fof(f2895,plain,
( aElement0(xc)
| ~ aElement0(xb)
| ~ spl32_49
| ~ spl32_256 ),
inference(resolution,[],[f2596,f573]) ).
fof(f3281,plain,
( spl32_292
| ~ spl32_25
| ~ spl32_92 ),
inference(avatar_split_clause,[],[f981,f902,f456,f3279]) ).
fof(f3279,plain,
( spl32_292
<=> ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0)
| sP1(sK30(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_292])]) ).
fof(f981,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0)
| sP1(sK30(X0,X1)) )
| ~ spl32_25
| ~ spl32_92 ),
inference(resolution,[],[f903,f457]) ).
fof(f3277,plain,
( spl32_291
| ~ spl32_25
| ~ spl32_87 ),
inference(avatar_split_clause,[],[f940,f882,f456,f3275]) ).
fof(f3275,plain,
( spl32_291
<=> ! [X0,X1] :
( sz00 = X0
| ~ aElement0(X0)
| ~ aElement0(X1)
| sP1(sK29(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_291])]) ).
fof(f940,plain,
( ! [X0,X1] :
( sz00 = X0
| ~ aElement0(X0)
| ~ aElement0(X1)
| sP1(sK29(X1,X0)) )
| ~ spl32_25
| ~ spl32_87 ),
inference(resolution,[],[f883,f457]) ).
fof(f3273,plain,
( spl32_290
| ~ spl32_25
| ~ spl32_86 ),
inference(avatar_split_clause,[],[f929,f878,f456,f3271]) ).
fof(f3271,plain,
( spl32_290
<=> ! [X0,X1] :
( sz00 = X0
| ~ aElement0(X0)
| ~ aElement0(X1)
| sP1(sK28(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_290])]) ).
fof(f929,plain,
( ! [X0,X1] :
( sz00 = X0
| ~ aElement0(X0)
| ~ aElement0(X1)
| sP1(sK28(X1,X0)) )
| ~ spl32_25
| ~ spl32_86 ),
inference(resolution,[],[f879,f457]) ).
fof(f3269,plain,
( spl32_289
| ~ spl32_25
| ~ spl32_85 ),
inference(avatar_split_clause,[],[f918,f874,f456,f3267]) ).
fof(f3267,plain,
( spl32_289
<=> ! [X0,X1] :
( sP6(X0,X1)
| ~ aIdeal0(X0)
| ~ aIdeal0(X1)
| sP1(sK27(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_289])]) ).
fof(f918,plain,
( ! [X0,X1] :
( sP6(X0,X1)
| ~ aIdeal0(X0)
| ~ aIdeal0(X1)
| sP1(sK27(X1,X0)) )
| ~ spl32_25
| ~ spl32_85 ),
inference(resolution,[],[f875,f457]) ).
fof(f3265,plain,
( spl32_288
| ~ spl32_41
| ~ spl32_81 ),
inference(avatar_split_clause,[],[f862,f848,f539,f3263]) ).
fof(f3263,plain,
( spl32_288
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ sP0(X1,X2)
| aElement0(sdtasdt0(X1,X0))
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_288])]) ).
fof(f862,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ sP0(X1,X2)
| aElement0(sdtasdt0(X1,X0))
| ~ aSet0(X2) )
| ~ spl32_41
| ~ spl32_81 ),
inference(resolution,[],[f849,f540]) ).
fof(f3261,plain,
( spl32_287
| ~ spl32_75
| ~ spl32_80 ),
inference(avatar_split_clause,[],[f860,f844,f799,f3259]) ).
fof(f3259,plain,
( spl32_287
<=> ! [X2,X0,X1] :
( ~ aElementOf0(X0,sdtasasdt0(X1,X2))
| aElementOf0(X0,X2)
| ~ sP4(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_287])]) ).
fof(f844,plain,
( spl32_80
<=> ! [X4,X0,X2,X1] :
( aElementOf0(X4,X0)
| ~ aElementOf0(X4,X2)
| ~ sP3(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_80])]) ).
fof(f860,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X0,sdtasasdt0(X1,X2))
| aElementOf0(X0,X2)
| ~ sP4(X1,X2) )
| ~ spl32_75
| ~ spl32_80 ),
inference(resolution,[],[f845,f800]) ).
fof(f845,plain,
( ! [X2,X0,X1,X4] :
( ~ sP3(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| aElementOf0(X4,X0) )
| ~ spl32_80 ),
inference(avatar_component_clause,[],[f844]) ).
fof(f3257,plain,
( spl32_286
| ~ spl32_75
| ~ spl32_79 ),
inference(avatar_split_clause,[],[f859,f840,f799,f3255]) ).
fof(f3255,plain,
( spl32_286
<=> ! [X2,X0,X1] :
( ~ aElementOf0(X0,sdtasasdt0(X1,X2))
| aElementOf0(X0,X1)
| ~ sP4(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_286])]) ).
fof(f840,plain,
( spl32_79
<=> ! [X4,X0,X1,X2] :
( aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ sP3(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_79])]) ).
fof(f859,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X0,sdtasasdt0(X1,X2))
| aElementOf0(X0,X1)
| ~ sP4(X1,X2) )
| ~ spl32_75
| ~ spl32_79 ),
inference(resolution,[],[f841,f800]) ).
fof(f841,plain,
( ! [X2,X0,X1,X4] :
( ~ sP3(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| aElementOf0(X4,X1) )
| ~ spl32_79 ),
inference(avatar_component_clause,[],[f840]) ).
fof(f3253,plain,
( spl32_285
| ~ spl32_41
| ~ spl32_78 ),
inference(avatar_split_clause,[],[f858,f836,f539,f3251]) ).
fof(f3251,plain,
( spl32_285
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ sP2(X1,X2)
| aElement0(sdtasdt0(X0,X2))
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_285])]) ).
fof(f858,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ sP2(X1,X2)
| aElement0(sdtasdt0(X0,X2))
| ~ aSet0(X1) )
| ~ spl32_41
| ~ spl32_78 ),
inference(resolution,[],[f837,f540]) ).
fof(f3249,plain,
( spl32_284
| ~ spl32_28
| ~ spl32_73 ),
inference(avatar_split_clause,[],[f815,f791,f477,f3247]) ).
fof(f3247,plain,
( spl32_284
<=> ! [X0] :
( smndt0(smndt0(X0)) = sdtasdt0(smndt0(X0),smndt0(sz10))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_284])]) ).
fof(f815,plain,
( ! [X0] :
( smndt0(smndt0(X0)) = sdtasdt0(smndt0(X0),smndt0(sz10))
| ~ aElement0(X0) )
| ~ spl32_28
| ~ spl32_73 ),
inference(resolution,[],[f792,f478]) ).
fof(f3239,plain,
( spl32_283
| ~ spl32_28
| ~ spl32_72 ),
inference(avatar_split_clause,[],[f804,f787,f477,f3237]) ).
fof(f3237,plain,
( spl32_283
<=> ! [X0] :
( smndt0(smndt0(X0)) = sdtasdt0(smndt0(sz10),smndt0(X0))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_283])]) ).
fof(f804,plain,
( ! [X0] :
( smndt0(smndt0(X0)) = sdtasdt0(smndt0(sz10),smndt0(X0))
| ~ aElement0(X0) )
| ~ spl32_28
| ~ spl32_72 ),
inference(resolution,[],[f788,f478]) ).
fof(f3235,plain,
( spl32_282
| ~ spl32_44
| ~ spl32_68 ),
inference(avatar_split_clause,[],[f772,f715,f552,f3233]) ).
fof(f3233,plain,
( spl32_282
<=> ! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sz00 = sdtasdt0(sz00,sdtasdt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_282])]) ).
fof(f772,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sz00 = sdtasdt0(sz00,sdtasdt0(X1,X0)) )
| ~ spl32_44
| ~ spl32_68 ),
inference(resolution,[],[f716,f553]) ).
fof(f3231,plain,
( spl32_281
| ~ spl32_42
| ~ spl32_68 ),
inference(avatar_split_clause,[],[f771,f715,f543,f3229]) ).
fof(f3229,plain,
( spl32_281
<=> ! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sz00 = sdtasdt0(sdtasdt0(X1,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_281])]) ).
fof(f771,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sz00 = sdtasdt0(sdtasdt0(X1,X0),sz00) )
| ~ spl32_42
| ~ spl32_68 ),
inference(resolution,[],[f716,f544]) ).
fof(f3227,plain,
( spl32_280
| ~ spl32_44
| ~ spl32_67 ),
inference(avatar_split_clause,[],[f761,f711,f552,f3225]) ).
fof(f3225,plain,
( spl32_280
<=> ! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sz00 = sdtasdt0(sz00,sdtpldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_280])]) ).
fof(f761,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sz00 = sdtasdt0(sz00,sdtpldt0(X1,X0)) )
| ~ spl32_44
| ~ spl32_67 ),
inference(resolution,[],[f712,f553]) ).
fof(f3223,plain,
( spl32_279
| ~ spl32_42
| ~ spl32_67 ),
inference(avatar_split_clause,[],[f760,f711,f543,f3221]) ).
fof(f3221,plain,
( spl32_279
<=> ! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sz00 = sdtasdt0(sdtpldt0(X1,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_279])]) ).
fof(f760,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sz00 = sdtasdt0(sdtpldt0(X1,X0),sz00) )
| ~ spl32_42
| ~ spl32_67 ),
inference(resolution,[],[f712,f544]) ).
fof(f3211,plain,
( ~ spl32_130
| ~ spl32_5
| spl32_278
| ~ spl32_13
| ~ spl32_107 ),
inference(avatar_split_clause,[],[f1081,f1068,f396,f3208,f356,f1206]) ).
fof(f3208,plain,
( spl32_278
<=> xa = sdtasdt0(xu,sK30(xu,xa)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_278])]) ).
fof(f396,plain,
( spl32_13
<=> doDivides0(xu,xa) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_13])]) ).
fof(f1081,plain,
( xa = sdtasdt0(xu,sK30(xu,xa))
| ~ aElement0(xa)
| ~ aElement0(xu)
| ~ spl32_13
| ~ spl32_107 ),
inference(resolution,[],[f1069,f398]) ).
fof(f398,plain,
( doDivides0(xu,xa)
| ~ spl32_13 ),
inference(avatar_component_clause,[],[f396]) ).
fof(f3206,plain,
( spl32_277
| ~ spl32_40
| ~ spl32_84 ),
inference(avatar_split_clause,[],[f915,f870,f534,f3204]) ).
fof(f3204,plain,
( spl32_277
<=> ! [X0] :
( aElementOf0(xb,X0)
| ~ aElementOf0(xr,X0)
| ~ sP2(X0,sdtasdt0(xq,xu)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_277])]) ).
fof(f915,plain,
( ! [X0] :
( aElementOf0(xb,X0)
| ~ aElementOf0(xr,X0)
| ~ sP2(X0,sdtasdt0(xq,xu)) )
| ~ spl32_40
| ~ spl32_84 ),
inference(superposition,[],[f871,f536]) ).
fof(f3179,plain,
( spl32_276
| ~ spl32_10
| ~ spl32_212
| ~ spl32_265 ),
inference(avatar_split_clause,[],[f2944,f2891,f2079,f381,f3176]) ).
fof(f3176,plain,
( spl32_276
<=> sz00 = smndt0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_276])]) ).
fof(f2079,plain,
( spl32_212
<=> sz00 = sdtpldt0(smndt0(sz00),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_212])]) ).
fof(f2891,plain,
( spl32_265
<=> ! [X0] :
( smndt0(X0) = sdtpldt0(smndt0(X0),sz00)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_265])]) ).
fof(f2944,plain,
( sz00 = smndt0(sz00)
| ~ spl32_10
| ~ spl32_212
| ~ spl32_265 ),
inference(forward_demodulation,[],[f2924,f2081]) ).
fof(f2081,plain,
( sz00 = sdtpldt0(smndt0(sz00),sz00)
| ~ spl32_212 ),
inference(avatar_component_clause,[],[f2079]) ).
fof(f2924,plain,
( smndt0(sz00) = sdtpldt0(smndt0(sz00),sz00)
| ~ spl32_10
| ~ spl32_265 ),
inference(resolution,[],[f2892,f383]) ).
fof(f2892,plain,
( ! [X0] :
( ~ aElement0(X0)
| smndt0(X0) = sdtpldt0(smndt0(X0),sz00) )
| ~ spl32_265 ),
inference(avatar_component_clause,[],[f2891]) ).
fof(f3132,plain,
( spl32_275
| ~ spl32_38
| ~ spl32_77 ),
inference(avatar_split_clause,[],[f856,f832,f524,f3130]) ).
fof(f832,plain,
( spl32_77
<=> ! [X5,X0,X1] :
( aElement0(sK14(X0,X5))
| ~ aElementOf0(X5,X1)
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_77])]) ).
fof(f856,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,slsdtgt0(X1))
| aElement0(sK14(X1,X0))
| ~ sP1(X1) )
| ~ spl32_38
| ~ spl32_77 ),
inference(resolution,[],[f833,f525]) ).
fof(f833,plain,
( ! [X0,X1,X5] :
( ~ sP0(X0,X1)
| ~ aElementOf0(X5,X1)
| aElement0(sK14(X0,X5)) )
| ~ spl32_77 ),
inference(avatar_component_clause,[],[f832]) ).
fof(f3128,plain,
( spl32_274
| ~ spl32_28
| ~ spl32_59 ),
inference(avatar_split_clause,[],[f733,f678,f477,f3126]) ).
fof(f3126,plain,
( spl32_274
<=> ! [X0] :
( sz00 = sdtpldt0(smndt0(smndt0(X0)),smndt0(X0))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_274])]) ).
fof(f733,plain,
( ! [X0] :
( sz00 = sdtpldt0(smndt0(smndt0(X0)),smndt0(X0))
| ~ aElement0(X0) )
| ~ spl32_28
| ~ spl32_59 ),
inference(resolution,[],[f679,f478]) ).
fof(f3124,plain,
( spl32_273
| ~ spl32_28
| ~ spl32_58 ),
inference(avatar_split_clause,[],[f724,f674,f477,f3122]) ).
fof(f3122,plain,
( spl32_273
<=> ! [X0] :
( sz00 = sdtpldt0(smndt0(X0),smndt0(smndt0(X0)))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_273])]) ).
fof(f724,plain,
( ! [X0] :
( sz00 = sdtpldt0(smndt0(X0),smndt0(smndt0(X0)))
| ~ aElement0(X0) )
| ~ spl32_28
| ~ spl32_58 ),
inference(resolution,[],[f675,f478]) ).
fof(f2923,plain,
( spl32_272
| ~ spl32_9
| ~ spl32_89 ),
inference(avatar_split_clause,[],[f966,f890,f376,f2921]) ).
fof(f2921,plain,
( spl32_272
<=> ! [X0] :
( sdtasdt0(X0,sz10) = sdtasdt0(sz10,X0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_272])]) ).
fof(f966,plain,
( ! [X0] :
( sdtasdt0(X0,sz10) = sdtasdt0(sz10,X0)
| ~ aElement0(X0) )
| ~ spl32_9
| ~ spl32_89 ),
inference(resolution,[],[f891,f378]) ).
fof(f2919,plain,
( spl32_271
| ~ spl32_10
| ~ spl32_89 ),
inference(avatar_split_clause,[],[f965,f890,f381,f2917]) ).
fof(f2917,plain,
( spl32_271
<=> ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sz00,X0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_271])]) ).
fof(f965,plain,
( ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sz00,X0)
| ~ aElement0(X0) )
| ~ spl32_10
| ~ spl32_89 ),
inference(resolution,[],[f891,f383]) ).
fof(f2915,plain,
( spl32_270
| ~ spl32_9
| ~ spl32_88 ),
inference(avatar_split_clause,[],[f952,f886,f376,f2913]) ).
fof(f2913,plain,
( spl32_270
<=> ! [X0] :
( sdtpldt0(X0,sz10) = sdtpldt0(sz10,X0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_270])]) ).
fof(f952,plain,
( ! [X0] :
( sdtpldt0(X0,sz10) = sdtpldt0(sz10,X0)
| ~ aElement0(X0) )
| ~ spl32_9
| ~ spl32_88 ),
inference(resolution,[],[f887,f378]) ).
fof(f2911,plain,
( spl32_269
| ~ spl32_10
| ~ spl32_88 ),
inference(avatar_split_clause,[],[f951,f886,f381,f2909]) ).
fof(f2909,plain,
( spl32_269
<=> ! [X0] :
( sdtpldt0(X0,sz00) = sdtpldt0(sz00,X0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_269])]) ).
fof(f951,plain,
( ! [X0] :
( sdtpldt0(X0,sz00) = sdtpldt0(sz00,X0)
| ~ aElement0(X0) )
| ~ spl32_10
| ~ spl32_88 ),
inference(resolution,[],[f887,f383]) ).
fof(f2907,plain,
( spl32_268
| ~ spl32_28
| ~ spl32_48 ),
inference(avatar_split_clause,[],[f651,f568,f477,f2905]) ).
fof(f2905,plain,
( spl32_268
<=> ! [X0] :
( smndt0(X0) = sdtasdt0(sz10,smndt0(X0))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_268])]) ).
fof(f651,plain,
( ! [X0] :
( smndt0(X0) = sdtasdt0(sz10,smndt0(X0))
| ~ aElement0(X0) )
| ~ spl32_28
| ~ spl32_48 ),
inference(resolution,[],[f569,f478]) ).
fof(f2903,plain,
( spl32_267
| ~ spl32_28
| ~ spl32_47 ),
inference(avatar_split_clause,[],[f642,f564,f477,f2901]) ).
fof(f2901,plain,
( spl32_267
<=> ! [X0] :
( smndt0(X0) = sdtasdt0(smndt0(X0),sz10)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_267])]) ).
fof(f642,plain,
( ! [X0] :
( smndt0(X0) = sdtasdt0(smndt0(X0),sz10)
| ~ aElement0(X0) )
| ~ spl32_28
| ~ spl32_47 ),
inference(resolution,[],[f565,f478]) ).
fof(f2899,plain,
( spl32_266
| ~ spl32_28
| ~ spl32_46 ),
inference(avatar_split_clause,[],[f633,f560,f477,f2897]) ).
fof(f2897,plain,
( spl32_266
<=> ! [X0] :
( smndt0(X0) = sdtpldt0(sz00,smndt0(X0))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_266])]) ).
fof(f633,plain,
( ! [X0] :
( smndt0(X0) = sdtpldt0(sz00,smndt0(X0))
| ~ aElement0(X0) )
| ~ spl32_28
| ~ spl32_46 ),
inference(resolution,[],[f561,f478]) ).
fof(f2893,plain,
( spl32_265
| ~ spl32_28
| ~ spl32_45 ),
inference(avatar_split_clause,[],[f624,f556,f477,f2891]) ).
fof(f624,plain,
( ! [X0] :
( smndt0(X0) = sdtpldt0(smndt0(X0),sz00)
| ~ aElement0(X0) )
| ~ spl32_28
| ~ spl32_45 ),
inference(resolution,[],[f557,f478]) ).
fof(f2694,plain,
( spl32_264
| ~ spl32_51
| ~ spl32_236 ),
inference(avatar_split_clause,[],[f2490,f2247,f580,f2691]) ).
fof(f580,plain,
( spl32_51
<=> ! [X2,X0,X1] :
( aDivisorOf0(X0,X2)
| ~ sP7(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_51])]) ).
fof(f2247,plain,
( spl32_236
<=> sP7(xc,xb,xa) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_236])]) ).
fof(f2490,plain,
( aDivisorOf0(xc,xa)
| ~ spl32_51
| ~ spl32_236 ),
inference(resolution,[],[f2249,f581]) ).
fof(f581,plain,
( ! [X2,X0,X1] :
( ~ sP7(X0,X1,X2)
| aDivisorOf0(X0,X2) )
| ~ spl32_51 ),
inference(avatar_component_clause,[],[f580]) ).
fof(f2249,plain,
( sP7(xc,xb,xa)
| ~ spl32_236 ),
inference(avatar_component_clause,[],[f2247]) ).
fof(f2625,plain,
( spl32_263
| ~ spl32_8
| ~ spl32_89 ),
inference(avatar_split_clause,[],[f975,f890,f371,f2623]) ).
fof(f2623,plain,
( spl32_263
<=> ! [X0] :
( sdtasdt0(X0,sK11) = sdtasdt0(sK11,X0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_263])]) ).
fof(f975,plain,
( ! [X0] :
( sdtasdt0(X0,sK11) = sdtasdt0(sK11,X0)
| ~ aElement0(X0) )
| ~ spl32_8
| ~ spl32_89 ),
inference(resolution,[],[f891,f373]) ).
fof(f2621,plain,
( spl32_262
| ~ spl32_7
| ~ spl32_89 ),
inference(avatar_split_clause,[],[f974,f890,f366,f2619]) ).
fof(f2619,plain,
( spl32_262
<=> ! [X0] :
( sdtasdt0(X0,sK10) = sdtasdt0(sK10,X0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_262])]) ).
fof(f974,plain,
( ! [X0] :
( sdtasdt0(X0,sK10) = sdtasdt0(sK10,X0)
| ~ aElement0(X0) )
| ~ spl32_7
| ~ spl32_89 ),
inference(resolution,[],[f891,f368]) ).
fof(f2617,plain,
( spl32_261
| ~ spl32_4
| ~ spl32_89 ),
inference(avatar_split_clause,[],[f973,f890,f351,f2615]) ).
fof(f2615,plain,
( spl32_261
<=> ! [X0] :
( sdtasdt0(X0,xr) = sdtasdt0(xr,X0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_261])]) ).
fof(f973,plain,
( ! [X0] :
( sdtasdt0(X0,xr) = sdtasdt0(xr,X0)
| ~ aElement0(X0) )
| ~ spl32_4
| ~ spl32_89 ),
inference(resolution,[],[f891,f353]) ).
fof(f2613,plain,
( spl32_260
| ~ spl32_3
| ~ spl32_89 ),
inference(avatar_split_clause,[],[f972,f890,f346,f2611]) ).
fof(f2611,plain,
( spl32_260
<=> ! [X0] :
( sdtasdt0(X0,xq) = sdtasdt0(xq,X0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_260])]) ).
fof(f972,plain,
( ! [X0] :
( sdtasdt0(X0,xq) = sdtasdt0(xq,X0)
| ~ aElement0(X0) )
| ~ spl32_3
| ~ spl32_89 ),
inference(resolution,[],[f891,f348]) ).
fof(f2609,plain,
( spl32_259
| ~ spl32_6
| ~ spl32_89 ),
inference(avatar_split_clause,[],[f971,f890,f361,f2607]) ).
fof(f971,plain,
( ! [X0] :
( sdtasdt0(X0,xb) = sdtasdt0(xb,X0)
| ~ aElement0(X0) )
| ~ spl32_6
| ~ spl32_89 ),
inference(resolution,[],[f891,f363]) ).
fof(f2605,plain,
( spl32_258
| ~ spl32_5
| ~ spl32_89 ),
inference(avatar_split_clause,[],[f970,f890,f356,f2603]) ).
fof(f970,plain,
( ! [X0] :
( sdtasdt0(xa,X0) = sdtasdt0(X0,xa)
| ~ aElement0(X0) )
| ~ spl32_5
| ~ spl32_89 ),
inference(resolution,[],[f891,f358]) ).
fof(f2601,plain,
( spl32_257
| ~ spl32_8
| ~ spl32_88 ),
inference(avatar_split_clause,[],[f961,f886,f371,f2599]) ).
fof(f2599,plain,
( spl32_257
<=> ! [X0] :
( sdtpldt0(X0,sK11) = sdtpldt0(sK11,X0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_257])]) ).
fof(f961,plain,
( ! [X0] :
( sdtpldt0(X0,sK11) = sdtpldt0(sK11,X0)
| ~ aElement0(X0) )
| ~ spl32_8
| ~ spl32_88 ),
inference(resolution,[],[f887,f373]) ).
fof(f2597,plain,
( spl32_256
| ~ spl32_52
| ~ spl32_236 ),
inference(avatar_split_clause,[],[f2489,f2247,f584,f2594]) ).
fof(f584,plain,
( spl32_52
<=> ! [X2,X0,X1] :
( aDivisorOf0(X0,X1)
| ~ sP7(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_52])]) ).
fof(f2489,plain,
( aDivisorOf0(xc,xb)
| ~ spl32_52
| ~ spl32_236 ),
inference(resolution,[],[f2249,f585]) ).
fof(f585,plain,
( ! [X2,X0,X1] :
( ~ sP7(X0,X1,X2)
| aDivisorOf0(X0,X1) )
| ~ spl32_52 ),
inference(avatar_component_clause,[],[f584]) ).
fof(f2592,plain,
( spl32_255
| ~ spl32_7
| ~ spl32_88 ),
inference(avatar_split_clause,[],[f960,f886,f366,f2590]) ).
fof(f2590,plain,
( spl32_255
<=> ! [X0] :
( sdtpldt0(X0,sK10) = sdtpldt0(sK10,X0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_255])]) ).
fof(f960,plain,
( ! [X0] :
( sdtpldt0(X0,sK10) = sdtpldt0(sK10,X0)
| ~ aElement0(X0) )
| ~ spl32_7
| ~ spl32_88 ),
inference(resolution,[],[f887,f368]) ).
fof(f2588,plain,
( spl32_254
| ~ spl32_4
| ~ spl32_88 ),
inference(avatar_split_clause,[],[f959,f886,f351,f2586]) ).
fof(f2586,plain,
( spl32_254
<=> ! [X0] :
( sdtpldt0(X0,xr) = sdtpldt0(xr,X0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_254])]) ).
fof(f959,plain,
( ! [X0] :
( sdtpldt0(X0,xr) = sdtpldt0(xr,X0)
| ~ aElement0(X0) )
| ~ spl32_4
| ~ spl32_88 ),
inference(resolution,[],[f887,f353]) ).
fof(f2584,plain,
( spl32_253
| ~ spl32_3
| ~ spl32_88 ),
inference(avatar_split_clause,[],[f958,f886,f346,f2582]) ).
fof(f2582,plain,
( spl32_253
<=> ! [X0] :
( sdtpldt0(X0,xq) = sdtpldt0(xq,X0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_253])]) ).
fof(f958,plain,
( ! [X0] :
( sdtpldt0(X0,xq) = sdtpldt0(xq,X0)
| ~ aElement0(X0) )
| ~ spl32_3
| ~ spl32_88 ),
inference(resolution,[],[f887,f348]) ).
fof(f2580,plain,
( spl32_252
| ~ spl32_6
| ~ spl32_88 ),
inference(avatar_split_clause,[],[f957,f886,f361,f2578]) ).
fof(f2578,plain,
( spl32_252
<=> ! [X0] :
( sdtpldt0(X0,xb) = sdtpldt0(xb,X0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_252])]) ).
fof(f957,plain,
( ! [X0] :
( sdtpldt0(X0,xb) = sdtpldt0(xb,X0)
| ~ aElement0(X0) )
| ~ spl32_6
| ~ spl32_88 ),
inference(resolution,[],[f887,f363]) ).
fof(f2576,plain,
( spl32_251
| ~ spl32_5
| ~ spl32_88 ),
inference(avatar_split_clause,[],[f956,f886,f356,f2574]) ).
fof(f2574,plain,
( spl32_251
<=> ! [X0] :
( sdtpldt0(X0,xa) = sdtpldt0(xa,X0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_251])]) ).
fof(f956,plain,
( ! [X0] :
( sdtpldt0(X0,xa) = sdtpldt0(xa,X0)
| ~ aElement0(X0) )
| ~ spl32_5
| ~ spl32_88 ),
inference(resolution,[],[f887,f358]) ).
fof(f2486,plain,
( ~ spl32_5
| ~ spl32_6
| ~ spl32_53
| spl32_235 ),
inference(avatar_split_clause,[],[f2251,f2243,f588,f361,f356]) ).
fof(f588,plain,
( spl32_53
<=> ! [X0,X1] :
( sP8(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_53])]) ).
fof(f2243,plain,
( spl32_235
<=> sP8(xa,xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_235])]) ).
fof(f2251,plain,
( ~ aElement0(xb)
| ~ aElement0(xa)
| ~ spl32_53
| spl32_235 ),
inference(resolution,[],[f2245,f589]) ).
fof(f589,plain,
( ! [X0,X1] :
( sP8(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl32_53 ),
inference(avatar_component_clause,[],[f588]) ).
fof(f2245,plain,
( ~ sP8(xa,xb)
| spl32_235 ),
inference(avatar_component_clause,[],[f2243]) ).
fof(f2445,plain,
( spl32_250
| ~ spl32_25
| ~ spl32_68 ),
inference(avatar_split_clause,[],[f770,f715,f456,f2443]) ).
fof(f2443,plain,
( spl32_250
<=> ! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sP1(sdtasdt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_250])]) ).
fof(f770,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sP1(sdtasdt0(X1,X0)) )
| ~ spl32_25
| ~ spl32_68 ),
inference(resolution,[],[f716,f457]) ).
fof(f2441,plain,
( spl32_249
| ~ spl32_25
| ~ spl32_67 ),
inference(avatar_split_clause,[],[f759,f711,f456,f2439]) ).
fof(f2439,plain,
( spl32_249
<=> ! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sP1(sdtpldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_249])]) ).
fof(f759,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sP1(sdtpldt0(X1,X0)) )
| ~ spl32_25
| ~ spl32_67 ),
inference(resolution,[],[f712,f457]) ).
fof(f2437,plain,
( spl32_248
| ~ spl32_26
| ~ spl32_66 ),
inference(avatar_split_clause,[],[f757,f707,f460,f2435]) ).
fof(f2435,plain,
( spl32_248
<=> ! [X0,X1] :
( ~ aIdeal0(X0)
| ~ aIdeal0(X1)
| aSet0(sdtpldt1(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_248])]) ).
fof(f460,plain,
( spl32_26
<=> ! [X0] :
( aSet0(X0)
| ~ aIdeal0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_26])]) ).
fof(f707,plain,
( spl32_66
<=> ! [X0,X1] :
( aIdeal0(sdtpldt1(X0,X1))
| ~ aIdeal0(X1)
| ~ aIdeal0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_66])]) ).
fof(f757,plain,
( ! [X0,X1] :
( ~ aIdeal0(X0)
| ~ aIdeal0(X1)
| aSet0(sdtpldt1(X1,X0)) )
| ~ spl32_26
| ~ spl32_66 ),
inference(resolution,[],[f708,f461]) ).
fof(f461,plain,
( ! [X0] :
( ~ aIdeal0(X0)
| aSet0(X0) )
| ~ spl32_26 ),
inference(avatar_component_clause,[],[f460]) ).
fof(f708,plain,
( ! [X0,X1] :
( aIdeal0(sdtpldt1(X0,X1))
| ~ aIdeal0(X1)
| ~ aIdeal0(X0) )
| ~ spl32_66 ),
inference(avatar_component_clause,[],[f707]) ).
fof(f2433,plain,
( spl32_247
| ~ spl32_26
| ~ spl32_65 ),
inference(avatar_split_clause,[],[f756,f703,f460,f2431]) ).
fof(f2431,plain,
( spl32_247
<=> ! [X0,X1] :
( ~ aIdeal0(X0)
| ~ aIdeal0(X1)
| aSet0(sdtasasdt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_247])]) ).
fof(f703,plain,
( spl32_65
<=> ! [X0,X1] :
( aIdeal0(sdtasasdt0(X0,X1))
| ~ aIdeal0(X1)
| ~ aIdeal0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_65])]) ).
fof(f756,plain,
( ! [X0,X1] :
( ~ aIdeal0(X0)
| ~ aIdeal0(X1)
| aSet0(sdtasasdt0(X1,X0)) )
| ~ spl32_26
| ~ spl32_65 ),
inference(resolution,[],[f704,f461]) ).
fof(f704,plain,
( ! [X0,X1] :
( aIdeal0(sdtasasdt0(X0,X1))
| ~ aIdeal0(X1)
| ~ aIdeal0(X0) )
| ~ spl32_65 ),
inference(avatar_component_clause,[],[f703]) ).
fof(f2429,plain,
( spl32_246
| ~ spl32_28
| ~ spl32_44 ),
inference(avatar_split_clause,[],[f615,f552,f477,f2427]) ).
fof(f615,plain,
( ! [X0] :
( sz00 = sdtasdt0(sz00,smndt0(X0))
| ~ aElement0(X0) )
| ~ spl32_28
| ~ spl32_44 ),
inference(resolution,[],[f553,f478]) ).
fof(f2425,plain,
( spl32_245
| ~ spl32_28
| ~ spl32_42 ),
inference(avatar_split_clause,[],[f606,f543,f477,f2423]) ).
fof(f606,plain,
( ! [X0] :
( sz00 = sdtasdt0(smndt0(X0),sz00)
| ~ aElement0(X0) )
| ~ spl32_28
| ~ spl32_42 ),
inference(resolution,[],[f544,f478]) ).
fof(f2421,plain,
( ~ spl32_2
| spl32_244
| ~ spl32_31
| ~ spl32_61 ),
inference(avatar_split_clause,[],[f745,f686,f492,f2418,f341]) ).
fof(f341,plain,
( spl32_2
<=> aIdeal0(xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_2])]) ).
fof(f492,plain,
( spl32_31
<=> aElementOf0(smndt0(sdtasdt0(xq,xu)),xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_31])]) ).
fof(f745,plain,
( sP2(xI,smndt0(sdtasdt0(xq,xu)))
| ~ aIdeal0(xI)
| ~ spl32_31
| ~ spl32_61 ),
inference(resolution,[],[f687,f494]) ).
fof(f494,plain,
( aElementOf0(smndt0(sdtasdt0(xq,xu)),xI)
| ~ spl32_31 ),
inference(avatar_component_clause,[],[f492]) ).
fof(f2368,plain,
( spl32_243
| ~ spl32_37
| ~ spl32_75 ),
inference(avatar_split_clause,[],[f826,f799,f520,f2366]) ).
fof(f2366,plain,
( spl32_243
<=> ! [X0,X1] :
( ~ sP4(X0,X1)
| aSet0(sdtasasdt0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_243])]) ).
fof(f520,plain,
( spl32_37
<=> ! [X2,X0,X1] :
( aSet0(X2)
| ~ sP3(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_37])]) ).
fof(f826,plain,
( ! [X0,X1] :
( ~ sP4(X0,X1)
| aSet0(sdtasasdt0(X0,X1)) )
| ~ spl32_37
| ~ spl32_75 ),
inference(resolution,[],[f800,f521]) ).
fof(f521,plain,
( ! [X2,X0,X1] :
( ~ sP3(X0,X1,X2)
| aSet0(X2) )
| ~ spl32_37 ),
inference(avatar_component_clause,[],[f520]) ).
fof(f2364,plain,
( spl32_242
| ~ spl32_9
| ~ spl32_73 ),
inference(avatar_split_clause,[],[f814,f791,f376,f2361]) ).
fof(f2361,plain,
( spl32_242
<=> smndt0(sz10) = sdtasdt0(sz10,smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_242])]) ).
fof(f814,plain,
( smndt0(sz10) = sdtasdt0(sz10,smndt0(sz10))
| ~ spl32_9
| ~ spl32_73 ),
inference(resolution,[],[f792,f378]) ).
fof(f2359,plain,
( spl32_241
| ~ spl32_10
| ~ spl32_73 ),
inference(avatar_split_clause,[],[f813,f791,f381,f2356]) ).
fof(f2356,plain,
( spl32_241
<=> smndt0(sz00) = sdtasdt0(sz00,smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_241])]) ).
fof(f813,plain,
( smndt0(sz00) = sdtasdt0(sz00,smndt0(sz10))
| ~ spl32_10
| ~ spl32_73 ),
inference(resolution,[],[f792,f383]) ).
fof(f2354,plain,
( spl32_240
| ~ spl32_9
| ~ spl32_72 ),
inference(avatar_split_clause,[],[f803,f787,f376,f2351]) ).
fof(f2351,plain,
( spl32_240
<=> smndt0(sz10) = sdtasdt0(smndt0(sz10),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_240])]) ).
fof(f803,plain,
( smndt0(sz10) = sdtasdt0(smndt0(sz10),sz10)
| ~ spl32_9
| ~ spl32_72 ),
inference(resolution,[],[f788,f378]) ).
fof(f2349,plain,
( spl32_239
| ~ spl32_10
| ~ spl32_72 ),
inference(avatar_split_clause,[],[f802,f787,f381,f2346]) ).
fof(f2346,plain,
( spl32_239
<=> smndt0(sz00) = sdtasdt0(smndt0(sz10),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_239])]) ).
fof(f802,plain,
( smndt0(sz00) = sdtasdt0(smndt0(sz10),sz00)
| ~ spl32_10
| ~ spl32_72 ),
inference(resolution,[],[f788,f383]) ).
fof(f2344,plain,
( spl32_238
| ~ spl32_41
| ~ spl32_63 ),
inference(avatar_split_clause,[],[f755,f695,f539,f2342]) ).
fof(f2342,plain,
( spl32_238
<=> ! [X0] :
( aIdeal0(X0)
| ~ aSet0(X0)
| aElement0(sK17(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_238])]) ).
fof(f695,plain,
( spl32_63
<=> ! [X0] :
( aIdeal0(X0)
| aElementOf0(sK17(X0),X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_63])]) ).
fof(f755,plain,
( ! [X0] :
( aIdeal0(X0)
| ~ aSet0(X0)
| aElement0(sK17(X0)) )
| ~ spl32_41
| ~ spl32_63 ),
inference(duplicate_literal_removal,[],[f754]) ).
fof(f754,plain,
( ! [X0] :
( aIdeal0(X0)
| ~ aSet0(X0)
| aElement0(sK17(X0))
| ~ aSet0(X0) )
| ~ spl32_41
| ~ spl32_63 ),
inference(resolution,[],[f696,f540]) ).
fof(f696,plain,
( ! [X0] :
( aElementOf0(sK17(X0),X0)
| aIdeal0(X0)
| ~ aSet0(X0) )
| ~ spl32_63 ),
inference(avatar_component_clause,[],[f695]) ).
fof(f2291,plain,
( spl32_237
| ~ spl32_26
| ~ spl32_218 ),
inference(avatar_split_clause,[],[f2198,f2151,f460,f2288]) ).
fof(f2198,plain,
( aSet0(slsdtgt0(xb))
| ~ spl32_26
| ~ spl32_218 ),
inference(resolution,[],[f2152,f461]) ).
fof(f2152,plain,
( aIdeal0(slsdtgt0(xb))
| ~ spl32_218 ),
inference(avatar_component_clause,[],[f2151]) ).
fof(f2250,plain,
( ~ spl32_235
| spl32_236
| ~ spl32_20
| ~ spl32_93 ),
inference(avatar_split_clause,[],[f994,f906,f431,f2247,f2243]) ).
fof(f431,plain,
( spl32_20
<=> aGcdOfAnd0(xc,xa,xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_20])]) ).
fof(f994,plain,
( sP7(xc,xb,xa)
| ~ sP8(xa,xb)
| ~ spl32_20
| ~ spl32_93 ),
inference(resolution,[],[f907,f433]) ).
fof(f433,plain,
( aGcdOfAnd0(xc,xa,xb)
| ~ spl32_20 ),
inference(avatar_component_clause,[],[f431]) ).
fof(f2239,plain,
( ~ spl32_5
| ~ spl32_130
| spl32_32
| ~ spl32_13
| ~ spl32_76 ),
inference(avatar_split_clause,[],[f855,f828,f396,f497,f1206,f356]) ).
fof(f497,plain,
( spl32_32
<=> aDivisorOf0(xu,xa) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_32])]) ).
fof(f855,plain,
( aDivisorOf0(xu,xa)
| ~ aElement0(xu)
| ~ aElement0(xa)
| ~ spl32_13
| ~ spl32_76 ),
inference(resolution,[],[f829,f398]) ).
fof(f2238,plain,
( spl32_234
| ~ spl32_26
| ~ spl32_216 ),
inference(avatar_split_clause,[],[f2161,f2141,f460,f2235]) ).
fof(f2161,plain,
( aSet0(slsdtgt0(xa))
| ~ spl32_26
| ~ spl32_216 ),
inference(resolution,[],[f2142,f461]) ).
fof(f2142,plain,
( aIdeal0(slsdtgt0(xa))
| ~ spl32_216 ),
inference(avatar_component_clause,[],[f2141]) ).
fof(f2233,plain,
( spl32_233
| ~ spl32_8
| ~ spl32_73 ),
inference(avatar_split_clause,[],[f823,f791,f371,f2230]) ).
fof(f2230,plain,
( spl32_233
<=> smndt0(sK11) = sdtasdt0(sK11,smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_233])]) ).
fof(f823,plain,
( smndt0(sK11) = sdtasdt0(sK11,smndt0(sz10))
| ~ spl32_8
| ~ spl32_73 ),
inference(resolution,[],[f792,f373]) ).
fof(f2228,plain,
( spl32_232
| ~ spl32_7
| ~ spl32_73 ),
inference(avatar_split_clause,[],[f822,f791,f366,f2225]) ).
fof(f2225,plain,
( spl32_232
<=> smndt0(sK10) = sdtasdt0(sK10,smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_232])]) ).
fof(f822,plain,
( smndt0(sK10) = sdtasdt0(sK10,smndt0(sz10))
| ~ spl32_7
| ~ spl32_73 ),
inference(resolution,[],[f792,f368]) ).
fof(f2223,plain,
( spl32_231
| ~ spl32_4
| ~ spl32_73 ),
inference(avatar_split_clause,[],[f821,f791,f351,f2220]) ).
fof(f2220,plain,
( spl32_231
<=> smndt0(xr) = sdtasdt0(xr,smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_231])]) ).
fof(f821,plain,
( smndt0(xr) = sdtasdt0(xr,smndt0(sz10))
| ~ spl32_4
| ~ spl32_73 ),
inference(resolution,[],[f792,f353]) ).
fof(f2218,plain,
( spl32_230
| ~ spl32_3
| ~ spl32_73 ),
inference(avatar_split_clause,[],[f820,f791,f346,f2215]) ).
fof(f2215,plain,
( spl32_230
<=> smndt0(xq) = sdtasdt0(xq,smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_230])]) ).
fof(f820,plain,
( smndt0(xq) = sdtasdt0(xq,smndt0(sz10))
| ~ spl32_3
| ~ spl32_73 ),
inference(resolution,[],[f792,f348]) ).
fof(f2213,plain,
( spl32_229
| ~ spl32_6
| ~ spl32_73 ),
inference(avatar_split_clause,[],[f819,f791,f361,f2210]) ).
fof(f2210,plain,
( spl32_229
<=> smndt0(xb) = sdtasdt0(xb,smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_229])]) ).
fof(f819,plain,
( smndt0(xb) = sdtasdt0(xb,smndt0(sz10))
| ~ spl32_6
| ~ spl32_73 ),
inference(resolution,[],[f792,f363]) ).
fof(f2208,plain,
( spl32_228
| ~ spl32_5
| ~ spl32_73 ),
inference(avatar_split_clause,[],[f818,f791,f356,f2205]) ).
fof(f2205,plain,
( spl32_228
<=> smndt0(xa) = sdtasdt0(xa,smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_228])]) ).
fof(f818,plain,
( smndt0(xa) = sdtasdt0(xa,smndt0(sz10))
| ~ spl32_5
| ~ spl32_73 ),
inference(resolution,[],[f792,f358]) ).
fof(f2203,plain,
( ~ spl32_218
| spl32_227
| ~ spl32_24
| ~ spl32_61 ),
inference(avatar_split_clause,[],[f752,f686,f451,f2200,f2151]) ).
fof(f2200,plain,
( spl32_227
<=> sP2(slsdtgt0(xb),xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_227])]) ).
fof(f752,plain,
( sP2(slsdtgt0(xb),xb)
| ~ aIdeal0(slsdtgt0(xb))
| ~ spl32_24
| ~ spl32_61 ),
inference(resolution,[],[f687,f453]) ).
fof(f2197,plain,
( ~ spl32_6
| ~ spl32_27
| spl32_218 ),
inference(avatar_split_clause,[],[f2159,f2151,f473,f361]) ).
fof(f473,plain,
( spl32_27
<=> ! [X0] :
( aIdeal0(slsdtgt0(X0))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_27])]) ).
fof(f2159,plain,
( ~ aElement0(xb)
| ~ spl32_27
| spl32_218 ),
inference(resolution,[],[f2153,f474]) ).
fof(f474,plain,
( ! [X0] :
( aIdeal0(slsdtgt0(X0))
| ~ aElement0(X0) )
| ~ spl32_27 ),
inference(avatar_component_clause,[],[f473]) ).
fof(f2153,plain,
( ~ aIdeal0(slsdtgt0(xb))
| spl32_218 ),
inference(avatar_component_clause,[],[f2151]) ).
fof(f2196,plain,
( spl32_226
| ~ spl32_8
| ~ spl32_72 ),
inference(avatar_split_clause,[],[f812,f787,f371,f2193]) ).
fof(f2193,plain,
( spl32_226
<=> smndt0(sK11) = sdtasdt0(smndt0(sz10),sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_226])]) ).
fof(f812,plain,
( smndt0(sK11) = sdtasdt0(smndt0(sz10),sK11)
| ~ spl32_8
| ~ spl32_72 ),
inference(resolution,[],[f788,f373]) ).
fof(f2191,plain,
( spl32_225
| ~ spl32_7
| ~ spl32_72 ),
inference(avatar_split_clause,[],[f811,f787,f366,f2188]) ).
fof(f2188,plain,
( spl32_225
<=> smndt0(sK10) = sdtasdt0(smndt0(sz10),sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_225])]) ).
fof(f811,plain,
( smndt0(sK10) = sdtasdt0(smndt0(sz10),sK10)
| ~ spl32_7
| ~ spl32_72 ),
inference(resolution,[],[f788,f368]) ).
fof(f2186,plain,
( spl32_224
| ~ spl32_4
| ~ spl32_72 ),
inference(avatar_split_clause,[],[f810,f787,f351,f2183]) ).
fof(f2183,plain,
( spl32_224
<=> smndt0(xr) = sdtasdt0(smndt0(sz10),xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_224])]) ).
fof(f810,plain,
( smndt0(xr) = sdtasdt0(smndt0(sz10),xr)
| ~ spl32_4
| ~ spl32_72 ),
inference(resolution,[],[f788,f353]) ).
fof(f2181,plain,
( spl32_223
| ~ spl32_3
| ~ spl32_72 ),
inference(avatar_split_clause,[],[f809,f787,f346,f2178]) ).
fof(f2178,plain,
( spl32_223
<=> smndt0(xq) = sdtasdt0(smndt0(sz10),xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_223])]) ).
fof(f809,plain,
( smndt0(xq) = sdtasdt0(smndt0(sz10),xq)
| ~ spl32_3
| ~ spl32_72 ),
inference(resolution,[],[f788,f348]) ).
fof(f2176,plain,
( spl32_222
| ~ spl32_6
| ~ spl32_72 ),
inference(avatar_split_clause,[],[f808,f787,f361,f2173]) ).
fof(f2173,plain,
( spl32_222
<=> smndt0(xb) = sdtasdt0(smndt0(sz10),xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_222])]) ).
fof(f808,plain,
( smndt0(xb) = sdtasdt0(smndt0(sz10),xb)
| ~ spl32_6
| ~ spl32_72 ),
inference(resolution,[],[f788,f363]) ).
fof(f2171,plain,
( spl32_221
| ~ spl32_5
| ~ spl32_72 ),
inference(avatar_split_clause,[],[f807,f787,f356,f2168]) ).
fof(f2168,plain,
( spl32_221
<=> smndt0(xa) = sdtasdt0(smndt0(sz10),xa) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_221])]) ).
fof(f807,plain,
( smndt0(xa) = sdtasdt0(smndt0(sz10),xa)
| ~ spl32_5
| ~ spl32_72 ),
inference(resolution,[],[f788,f358]) ).
fof(f2166,plain,
( ~ spl32_216
| spl32_220
| ~ spl32_22
| ~ spl32_61 ),
inference(avatar_split_clause,[],[f750,f686,f441,f2163,f2141]) ).
fof(f2163,plain,
( spl32_220
<=> sP2(slsdtgt0(xa),xa) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_220])]) ).
fof(f750,plain,
( sP2(slsdtgt0(xa),xa)
| ~ aIdeal0(slsdtgt0(xa))
| ~ spl32_22
| ~ spl32_61 ),
inference(resolution,[],[f687,f443]) ).
fof(f2160,plain,
( ~ spl32_5
| ~ spl32_27
| spl32_216 ),
inference(avatar_split_clause,[],[f2149,f2141,f473,f356]) ).
fof(f2149,plain,
( ~ aElement0(xa)
| ~ spl32_27
| spl32_216 ),
inference(resolution,[],[f2143,f474]) ).
fof(f2143,plain,
( ~ aIdeal0(slsdtgt0(xa))
| spl32_216 ),
inference(avatar_component_clause,[],[f2141]) ).
fof(f2158,plain,
( ~ spl32_218
| spl32_219
| ~ spl32_23
| ~ spl32_61 ),
inference(avatar_split_clause,[],[f751,f686,f446,f2155,f2151]) ).
fof(f2155,plain,
( spl32_219
<=> sP2(slsdtgt0(xb),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_219])]) ).
fof(f751,plain,
( sP2(slsdtgt0(xb),sz00)
| ~ aIdeal0(slsdtgt0(xb))
| ~ spl32_23
| ~ spl32_61 ),
inference(resolution,[],[f687,f448]) ).
fof(f2148,plain,
( ~ spl32_216
| spl32_217
| ~ spl32_21
| ~ spl32_61 ),
inference(avatar_split_clause,[],[f749,f686,f436,f2145,f2141]) ).
fof(f2145,plain,
( spl32_217
<=> sP2(slsdtgt0(xa),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_217])]) ).
fof(f749,plain,
( sP2(slsdtgt0(xa),sz00)
| ~ aIdeal0(slsdtgt0(xa))
| ~ spl32_21
| ~ spl32_61 ),
inference(resolution,[],[f687,f438]) ).
fof(f2121,plain,
( ~ spl32_70
| spl32_215
| ~ spl32_31
| ~ spl32_41 ),
inference(avatar_split_clause,[],[f596,f539,f492,f2118,f741]) ).
fof(f741,plain,
( spl32_70
<=> aSet0(xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_70])]) ).
fof(f596,plain,
( aElement0(smndt0(sdtasdt0(xq,xu)))
| ~ aSet0(xI)
| ~ spl32_31
| ~ spl32_41 ),
inference(resolution,[],[f540,f494]) ).
fof(f2108,plain,
( spl32_214
| ~ spl32_46
| ~ spl32_130 ),
inference(avatar_split_clause,[],[f1291,f1206,f560,f2105]) ).
fof(f2105,plain,
( spl32_214
<=> xu = sdtpldt0(sz00,xu) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_214])]) ).
fof(f1291,plain,
( xu = sdtpldt0(sz00,xu)
| ~ spl32_46
| ~ spl32_130 ),
inference(resolution,[],[f1208,f561]) ).
fof(f2087,plain,
( spl32_213
| ~ spl32_9
| ~ spl32_59 ),
inference(avatar_split_clause,[],[f732,f678,f376,f2084]) ).
fof(f2084,plain,
( spl32_213
<=> sz00 = sdtpldt0(smndt0(sz10),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_213])]) ).
fof(f732,plain,
( sz00 = sdtpldt0(smndt0(sz10),sz10)
| ~ spl32_9
| ~ spl32_59 ),
inference(resolution,[],[f679,f378]) ).
fof(f2082,plain,
( spl32_212
| ~ spl32_10
| ~ spl32_59 ),
inference(avatar_split_clause,[],[f731,f678,f381,f2079]) ).
fof(f731,plain,
( sz00 = sdtpldt0(smndt0(sz00),sz00)
| ~ spl32_10
| ~ spl32_59 ),
inference(resolution,[],[f679,f383]) ).
fof(f2077,plain,
( spl32_211
| ~ spl32_9
| ~ spl32_58 ),
inference(avatar_split_clause,[],[f723,f674,f376,f2074]) ).
fof(f2074,plain,
( spl32_211
<=> sz00 = sdtpldt0(sz10,smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_211])]) ).
fof(f723,plain,
( sz00 = sdtpldt0(sz10,smndt0(sz10))
| ~ spl32_9
| ~ spl32_58 ),
inference(resolution,[],[f675,f378]) ).
fof(f2072,plain,
( spl32_210
| ~ spl32_10
| ~ spl32_58 ),
inference(avatar_split_clause,[],[f722,f674,f381,f2069]) ).
fof(f2069,plain,
( spl32_210
<=> sz00 = sdtpldt0(sz00,smndt0(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_210])]) ).
fof(f722,plain,
( sz00 = sdtpldt0(sz00,smndt0(sz00))
| ~ spl32_10
| ~ spl32_58 ),
inference(resolution,[],[f675,f383]) ).
fof(f2051,plain,
( spl32_209
| ~ spl32_45
| ~ spl32_130 ),
inference(avatar_split_clause,[],[f1290,f1206,f556,f2048]) ).
fof(f2048,plain,
( spl32_209
<=> xu = sdtpldt0(xu,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_209])]) ).
fof(f1290,plain,
( xu = sdtpldt0(xu,sz00)
| ~ spl32_45
| ~ spl32_130 ),
inference(resolution,[],[f1208,f557]) ).
fof(f1990,plain,
( spl32_208
| ~ spl32_8
| ~ spl32_59 ),
inference(avatar_split_clause,[],[f739,f678,f371,f1987]) ).
fof(f1987,plain,
( spl32_208
<=> sz00 = sdtpldt0(smndt0(sK11),sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_208])]) ).
fof(f739,plain,
( sz00 = sdtpldt0(smndt0(sK11),sK11)
| ~ spl32_8
| ~ spl32_59 ),
inference(resolution,[],[f679,f373]) ).
fof(f1985,plain,
( spl32_207
| ~ spl32_7
| ~ spl32_59 ),
inference(avatar_split_clause,[],[f738,f678,f366,f1982]) ).
fof(f1982,plain,
( spl32_207
<=> sz00 = sdtpldt0(smndt0(sK10),sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_207])]) ).
fof(f738,plain,
( sz00 = sdtpldt0(smndt0(sK10),sK10)
| ~ spl32_7
| ~ spl32_59 ),
inference(resolution,[],[f679,f368]) ).
fof(f1980,plain,
( spl32_206
| ~ spl32_44
| ~ spl32_130 ),
inference(avatar_split_clause,[],[f1289,f1206,f552,f1977]) ).
fof(f1977,plain,
( spl32_206
<=> sz00 = sdtasdt0(sz00,xu) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_206])]) ).
fof(f1289,plain,
( sz00 = sdtasdt0(sz00,xu)
| ~ spl32_44
| ~ spl32_130 ),
inference(resolution,[],[f1208,f553]) ).
fof(f1975,plain,
( spl32_205
| ~ spl32_4
| ~ spl32_59 ),
inference(avatar_split_clause,[],[f737,f678,f351,f1972]) ).
fof(f1972,plain,
( spl32_205
<=> sz00 = sdtpldt0(smndt0(xr),xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_205])]) ).
fof(f737,plain,
( sz00 = sdtpldt0(smndt0(xr),xr)
| ~ spl32_4
| ~ spl32_59 ),
inference(resolution,[],[f679,f353]) ).
fof(f1970,plain,
( spl32_204
| ~ spl32_3
| ~ spl32_59 ),
inference(avatar_split_clause,[],[f736,f678,f346,f1967]) ).
fof(f1967,plain,
( spl32_204
<=> sz00 = sdtpldt0(smndt0(xq),xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_204])]) ).
fof(f736,plain,
( sz00 = sdtpldt0(smndt0(xq),xq)
| ~ spl32_3
| ~ spl32_59 ),
inference(resolution,[],[f679,f348]) ).
fof(f1965,plain,
( spl32_203
| ~ spl32_6
| ~ spl32_59 ),
inference(avatar_split_clause,[],[f735,f678,f361,f1962]) ).
fof(f1962,plain,
( spl32_203
<=> sz00 = sdtpldt0(smndt0(xb),xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_203])]) ).
fof(f735,plain,
( sz00 = sdtpldt0(smndt0(xb),xb)
| ~ spl32_6
| ~ spl32_59 ),
inference(resolution,[],[f679,f363]) ).
fof(f1960,plain,
( spl32_202
| ~ spl32_5
| ~ spl32_59 ),
inference(avatar_split_clause,[],[f734,f678,f356,f1957]) ).
fof(f1957,plain,
( spl32_202
<=> sz00 = sdtpldt0(smndt0(xa),xa) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_202])]) ).
fof(f734,plain,
( sz00 = sdtpldt0(smndt0(xa),xa)
| ~ spl32_5
| ~ spl32_59 ),
inference(resolution,[],[f679,f358]) ).
fof(f1955,plain,
( spl32_201
| ~ spl32_8
| ~ spl32_58 ),
inference(avatar_split_clause,[],[f730,f674,f371,f1952]) ).
fof(f1952,plain,
( spl32_201
<=> sz00 = sdtpldt0(sK11,smndt0(sK11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_201])]) ).
fof(f730,plain,
( sz00 = sdtpldt0(sK11,smndt0(sK11))
| ~ spl32_8
| ~ spl32_58 ),
inference(resolution,[],[f675,f373]) ).
fof(f1950,plain,
( spl32_200
| ~ spl32_7
| ~ spl32_58 ),
inference(avatar_split_clause,[],[f729,f674,f366,f1947]) ).
fof(f1947,plain,
( spl32_200
<=> sz00 = sdtpldt0(sK10,smndt0(sK10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_200])]) ).
fof(f729,plain,
( sz00 = sdtpldt0(sK10,smndt0(sK10))
| ~ spl32_7
| ~ spl32_58 ),
inference(resolution,[],[f675,f368]) ).
fof(f1945,plain,
( spl32_199
| ~ spl32_4
| ~ spl32_58 ),
inference(avatar_split_clause,[],[f728,f674,f351,f1942]) ).
fof(f1942,plain,
( spl32_199
<=> sz00 = sdtpldt0(xr,smndt0(xr)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_199])]) ).
fof(f728,plain,
( sz00 = sdtpldt0(xr,smndt0(xr))
| ~ spl32_4
| ~ spl32_58 ),
inference(resolution,[],[f675,f353]) ).
fof(f1940,plain,
( spl32_198
| ~ spl32_3
| ~ spl32_58 ),
inference(avatar_split_clause,[],[f727,f674,f346,f1937]) ).
fof(f1937,plain,
( spl32_198
<=> sz00 = sdtpldt0(xq,smndt0(xq)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_198])]) ).
fof(f727,plain,
( sz00 = sdtpldt0(xq,smndt0(xq))
| ~ spl32_3
| ~ spl32_58 ),
inference(resolution,[],[f675,f348]) ).
fof(f1935,plain,
( spl32_197
| ~ spl32_6
| ~ spl32_58 ),
inference(avatar_split_clause,[],[f726,f674,f361,f1932]) ).
fof(f1932,plain,
( spl32_197
<=> sz00 = sdtpldt0(xb,smndt0(xb)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_197])]) ).
fof(f726,plain,
( sz00 = sdtpldt0(xb,smndt0(xb))
| ~ spl32_6
| ~ spl32_58 ),
inference(resolution,[],[f675,f363]) ).
fof(f1930,plain,
( spl32_196
| ~ spl32_5
| ~ spl32_58 ),
inference(avatar_split_clause,[],[f725,f674,f356,f1927]) ).
fof(f1927,plain,
( spl32_196
<=> sz00 = sdtpldt0(xa,smndt0(xa)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_196])]) ).
fof(f725,plain,
( sz00 = sdtpldt0(xa,smndt0(xa))
| ~ spl32_5
| ~ spl32_58 ),
inference(resolution,[],[f675,f358]) ).
fof(f1925,plain,
( spl32_195
| ~ spl32_42
| ~ spl32_130 ),
inference(avatar_split_clause,[],[f1288,f1206,f543,f1922]) ).
fof(f1922,plain,
( spl32_195
<=> sz00 = sdtasdt0(xu,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_195])]) ).
fof(f1288,plain,
( sz00 = sdtasdt0(xu,sz00)
| ~ spl32_42
| ~ spl32_130 ),
inference(resolution,[],[f1208,f544]) ).
fof(f1878,plain,
( spl32_194
| ~ spl32_9
| ~ spl32_47 ),
inference(avatar_split_clause,[],[f641,f564,f376,f1875]) ).
fof(f641,plain,
( sz10 = sdtasdt0(sz10,sz10)
| ~ spl32_9
| ~ spl32_47 ),
inference(resolution,[],[f565,f378]) ).
fof(f1873,plain,
( spl32_193
| ~ spl32_9
| ~ spl32_46 ),
inference(avatar_split_clause,[],[f632,f560,f376,f1870]) ).
fof(f1870,plain,
( spl32_193
<=> sz10 = sdtpldt0(sz00,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_193])]) ).
fof(f632,plain,
( sz10 = sdtpldt0(sz00,sz10)
| ~ spl32_9
| ~ spl32_46 ),
inference(resolution,[],[f561,f378]) ).
fof(f1868,plain,
( spl32_192
| ~ spl32_9
| ~ spl32_45 ),
inference(avatar_split_clause,[],[f623,f556,f376,f1865]) ).
fof(f1865,plain,
( spl32_192
<=> sz10 = sdtpldt0(sz10,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_192])]) ).
fof(f623,plain,
( sz10 = sdtpldt0(sz10,sz00)
| ~ spl32_9
| ~ spl32_45 ),
inference(resolution,[],[f557,f378]) ).
fof(f1863,plain,
( spl32_191
| ~ spl32_10
| ~ spl32_45 ),
inference(avatar_split_clause,[],[f622,f556,f381,f1860]) ).
fof(f1860,plain,
( spl32_191
<=> sz00 = sdtpldt0(sz00,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_191])]) ).
fof(f622,plain,
( sz00 = sdtpldt0(sz00,sz00)
| ~ spl32_10
| ~ spl32_45 ),
inference(resolution,[],[f557,f383]) ).
fof(f1858,plain,
( spl32_190
| ~ spl32_9
| ~ spl32_44 ),
inference(avatar_split_clause,[],[f614,f552,f376,f1855]) ).
fof(f1855,plain,
( spl32_190
<=> sz00 = sdtasdt0(sz00,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_190])]) ).
fof(f614,plain,
( sz00 = sdtasdt0(sz00,sz10)
| ~ spl32_9
| ~ spl32_44 ),
inference(resolution,[],[f553,f378]) ).
fof(f1853,plain,
( spl32_189
| ~ spl32_9
| ~ spl32_42 ),
inference(avatar_split_clause,[],[f605,f543,f376,f1850]) ).
fof(f1850,plain,
( spl32_189
<=> sz00 = sdtasdt0(sz10,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_189])]) ).
fof(f605,plain,
( sz00 = sdtasdt0(sz10,sz00)
| ~ spl32_9
| ~ spl32_42 ),
inference(resolution,[],[f544,f378]) ).
fof(f1848,plain,
( spl32_188
| ~ spl32_10
| ~ spl32_42 ),
inference(avatar_split_clause,[],[f604,f543,f381,f1845]) ).
fof(f604,plain,
( sz00 = sdtasdt0(sz00,sz00)
| ~ spl32_10
| ~ spl32_42 ),
inference(resolution,[],[f544,f383]) ).
fof(f1843,plain,
( spl32_187
| ~ spl32_29
| ~ spl32_38 ),
inference(avatar_split_clause,[],[f527,f524,f481,f1841]) ).
fof(f1841,plain,
( spl32_187
<=> ! [X0] :
( ~ sP1(X0)
| aSet0(slsdtgt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_187])]) ).
fof(f481,plain,
( spl32_29
<=> ! [X0,X1] :
( aSet0(X1)
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_29])]) ).
fof(f527,plain,
( ! [X0] :
( ~ sP1(X0)
| aSet0(slsdtgt0(X0)) )
| ~ spl32_29
| ~ spl32_38 ),
inference(resolution,[],[f525,f482]) ).
fof(f482,plain,
( ! [X0,X1] :
( ~ sP0(X0,X1)
| aSet0(X1) )
| ~ spl32_29 ),
inference(avatar_component_clause,[],[f481]) ).
fof(f1839,plain,
( spl32_186
| ~ spl32_25
| ~ spl32_28 ),
inference(avatar_split_clause,[],[f490,f477,f456,f1837]) ).
fof(f1837,plain,
( spl32_186
<=> ! [X0] :
( ~ aElement0(X0)
| sP1(smndt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_186])]) ).
fof(f490,plain,
( ! [X0] :
( ~ aElement0(X0)
| sP1(smndt0(X0)) )
| ~ spl32_25
| ~ spl32_28 ),
inference(resolution,[],[f478,f457]) ).
fof(f1835,plain,
( spl32_185
| ~ spl32_26
| ~ spl32_27 ),
inference(avatar_split_clause,[],[f484,f473,f460,f1833]) ).
fof(f1833,plain,
( spl32_185
<=> ! [X0] :
( ~ aElement0(X0)
| aSet0(slsdtgt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_185])]) ).
fof(f484,plain,
( ! [X0] :
( ~ aElement0(X0)
| aSet0(slsdtgt0(X0)) )
| ~ spl32_26
| ~ spl32_27 ),
inference(resolution,[],[f474,f461]) ).
fof(f1615,plain,
( ~ spl32_2
| spl32_184
| ~ spl32_18
| ~ spl32_61 ),
inference(avatar_split_clause,[],[f748,f686,f421,f1612,f341]) ).
fof(f1612,plain,
( spl32_184
<=> sP2(xI,sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_184])]) ).
fof(f421,plain,
( spl32_18
<=> aElementOf0(sK9,xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_18])]) ).
fof(f748,plain,
( sP2(xI,sK9)
| ~ aIdeal0(xI)
| ~ spl32_18
| ~ spl32_61 ),
inference(resolution,[],[f687,f423]) ).
fof(f423,plain,
( aElementOf0(sK9,xI)
| ~ spl32_18 ),
inference(avatar_component_clause,[],[f421]) ).
fof(f1610,plain,
( ~ spl32_2
| spl32_183
| ~ spl32_15
| ~ spl32_61 ),
inference(avatar_split_clause,[],[f747,f686,f406,f1607,f341]) ).
fof(f1607,plain,
( spl32_183
<=> sP2(xI,xu) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_183])]) ).
fof(f406,plain,
( spl32_15
<=> aElementOf0(xu,xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_15])]) ).
fof(f747,plain,
( sP2(xI,xu)
| ~ aIdeal0(xI)
| ~ spl32_15
| ~ spl32_61 ),
inference(resolution,[],[f687,f408]) ).
fof(f408,plain,
( aElementOf0(xu,xI)
| ~ spl32_15 ),
inference(avatar_component_clause,[],[f406]) ).
fof(f1605,plain,
( ~ spl32_2
| spl32_182
| ~ spl32_14
| ~ spl32_61 ),
inference(avatar_split_clause,[],[f746,f686,f401,f1602,f341]) ).
fof(f1602,plain,
( spl32_182
<=> sP2(xI,xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_182])]) ).
fof(f746,plain,
( sP2(xI,xb)
| ~ aIdeal0(xI)
| ~ spl32_14
| ~ spl32_61 ),
inference(resolution,[],[f687,f403]) ).
fof(f403,plain,
( aElementOf0(xb,xI)
| ~ spl32_14 ),
inference(avatar_component_clause,[],[f401]) ).
fof(f1600,plain,
( spl32_181
| ~ spl32_8
| ~ spl32_48 ),
inference(avatar_split_clause,[],[f657,f568,f371,f1597]) ).
fof(f1597,plain,
( spl32_181
<=> sK11 = sdtasdt0(sz10,sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_181])]) ).
fof(f657,plain,
( sK11 = sdtasdt0(sz10,sK11)
| ~ spl32_8
| ~ spl32_48 ),
inference(resolution,[],[f569,f373]) ).
fof(f1595,plain,
( spl32_180
| ~ spl32_7
| ~ spl32_48 ),
inference(avatar_split_clause,[],[f656,f568,f366,f1592]) ).
fof(f1592,plain,
( spl32_180
<=> sK10 = sdtasdt0(sz10,sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_180])]) ).
fof(f656,plain,
( sK10 = sdtasdt0(sz10,sK10)
| ~ spl32_7
| ~ spl32_48 ),
inference(resolution,[],[f569,f368]) ).
fof(f1590,plain,
( spl32_179
| ~ spl32_4
| ~ spl32_48 ),
inference(avatar_split_clause,[],[f655,f568,f351,f1587]) ).
fof(f1587,plain,
( spl32_179
<=> xr = sdtasdt0(sz10,xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_179])]) ).
fof(f655,plain,
( xr = sdtasdt0(sz10,xr)
| ~ spl32_4
| ~ spl32_48 ),
inference(resolution,[],[f569,f353]) ).
fof(f1585,plain,
( spl32_178
| ~ spl32_3
| ~ spl32_48 ),
inference(avatar_split_clause,[],[f654,f568,f346,f1582]) ).
fof(f1582,plain,
( spl32_178
<=> xq = sdtasdt0(sz10,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_178])]) ).
fof(f654,plain,
( xq = sdtasdt0(sz10,xq)
| ~ spl32_3
| ~ spl32_48 ),
inference(resolution,[],[f569,f348]) ).
fof(f1580,plain,
( spl32_177
| ~ spl32_6
| ~ spl32_48 ),
inference(avatar_split_clause,[],[f653,f568,f361,f1577]) ).
fof(f1577,plain,
( spl32_177
<=> xb = sdtasdt0(sz10,xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_177])]) ).
fof(f653,plain,
( xb = sdtasdt0(sz10,xb)
| ~ spl32_6
| ~ spl32_48 ),
inference(resolution,[],[f569,f363]) ).
fof(f1575,plain,
( spl32_176
| ~ spl32_5
| ~ spl32_48 ),
inference(avatar_split_clause,[],[f652,f568,f356,f1572]) ).
fof(f1572,plain,
( spl32_176
<=> xa = sdtasdt0(sz10,xa) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_176])]) ).
fof(f652,plain,
( xa = sdtasdt0(sz10,xa)
| ~ spl32_5
| ~ spl32_48 ),
inference(resolution,[],[f569,f358]) ).
fof(f1570,plain,
( spl32_175
| ~ spl32_8
| ~ spl32_47 ),
inference(avatar_split_clause,[],[f648,f564,f371,f1567]) ).
fof(f1567,plain,
( spl32_175
<=> sK11 = sdtasdt0(sK11,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_175])]) ).
fof(f648,plain,
( sK11 = sdtasdt0(sK11,sz10)
| ~ spl32_8
| ~ spl32_47 ),
inference(resolution,[],[f565,f373]) ).
fof(f1565,plain,
( spl32_174
| ~ spl32_7
| ~ spl32_47 ),
inference(avatar_split_clause,[],[f647,f564,f366,f1562]) ).
fof(f1562,plain,
( spl32_174
<=> sK10 = sdtasdt0(sK10,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_174])]) ).
fof(f647,plain,
( sK10 = sdtasdt0(sK10,sz10)
| ~ spl32_7
| ~ spl32_47 ),
inference(resolution,[],[f565,f368]) ).
fof(f1560,plain,
( spl32_173
| ~ spl32_4
| ~ spl32_47 ),
inference(avatar_split_clause,[],[f646,f564,f351,f1557]) ).
fof(f1557,plain,
( spl32_173
<=> xr = sdtasdt0(xr,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_173])]) ).
fof(f646,plain,
( xr = sdtasdt0(xr,sz10)
| ~ spl32_4
| ~ spl32_47 ),
inference(resolution,[],[f565,f353]) ).
fof(f1555,plain,
( spl32_172
| ~ spl32_3
| ~ spl32_47 ),
inference(avatar_split_clause,[],[f645,f564,f346,f1552]) ).
fof(f1552,plain,
( spl32_172
<=> xq = sdtasdt0(xq,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_172])]) ).
fof(f645,plain,
( xq = sdtasdt0(xq,sz10)
| ~ spl32_3
| ~ spl32_47 ),
inference(resolution,[],[f565,f348]) ).
fof(f1550,plain,
( spl32_171
| ~ spl32_6
| ~ spl32_47 ),
inference(avatar_split_clause,[],[f644,f564,f361,f1547]) ).
fof(f1547,plain,
( spl32_171
<=> xb = sdtasdt0(xb,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_171])]) ).
fof(f644,plain,
( xb = sdtasdt0(xb,sz10)
| ~ spl32_6
| ~ spl32_47 ),
inference(resolution,[],[f565,f363]) ).
fof(f1545,plain,
( spl32_170
| ~ spl32_5
| ~ spl32_47 ),
inference(avatar_split_clause,[],[f643,f564,f356,f1542]) ).
fof(f1542,plain,
( spl32_170
<=> xa = sdtasdt0(xa,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_170])]) ).
fof(f643,plain,
( xa = sdtasdt0(xa,sz10)
| ~ spl32_5
| ~ spl32_47 ),
inference(resolution,[],[f565,f358]) ).
fof(f1540,plain,
( spl32_169
| ~ spl32_8
| ~ spl32_46 ),
inference(avatar_split_clause,[],[f639,f560,f371,f1537]) ).
fof(f1537,plain,
( spl32_169
<=> sK11 = sdtpldt0(sz00,sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_169])]) ).
fof(f639,plain,
( sK11 = sdtpldt0(sz00,sK11)
| ~ spl32_8
| ~ spl32_46 ),
inference(resolution,[],[f561,f373]) ).
fof(f1535,plain,
( spl32_168
| ~ spl32_7
| ~ spl32_46 ),
inference(avatar_split_clause,[],[f638,f560,f366,f1532]) ).
fof(f1532,plain,
( spl32_168
<=> sK10 = sdtpldt0(sz00,sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_168])]) ).
fof(f638,plain,
( sK10 = sdtpldt0(sz00,sK10)
| ~ spl32_7
| ~ spl32_46 ),
inference(resolution,[],[f561,f368]) ).
fof(f1530,plain,
( spl32_167
| ~ spl32_4
| ~ spl32_46 ),
inference(avatar_split_clause,[],[f637,f560,f351,f1527]) ).
fof(f1527,plain,
( spl32_167
<=> xr = sdtpldt0(sz00,xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_167])]) ).
fof(f637,plain,
( xr = sdtpldt0(sz00,xr)
| ~ spl32_4
| ~ spl32_46 ),
inference(resolution,[],[f561,f353]) ).
fof(f1525,plain,
( spl32_166
| ~ spl32_3
| ~ spl32_46 ),
inference(avatar_split_clause,[],[f636,f560,f346,f1522]) ).
fof(f1522,plain,
( spl32_166
<=> xq = sdtpldt0(sz00,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_166])]) ).
fof(f636,plain,
( xq = sdtpldt0(sz00,xq)
| ~ spl32_3
| ~ spl32_46 ),
inference(resolution,[],[f561,f348]) ).
fof(f1520,plain,
( spl32_165
| ~ spl32_6
| ~ spl32_46 ),
inference(avatar_split_clause,[],[f635,f560,f361,f1517]) ).
fof(f1517,plain,
( spl32_165
<=> xb = sdtpldt0(sz00,xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_165])]) ).
fof(f635,plain,
( xb = sdtpldt0(sz00,xb)
| ~ spl32_6
| ~ spl32_46 ),
inference(resolution,[],[f561,f363]) ).
fof(f1515,plain,
( spl32_164
| ~ spl32_5
| ~ spl32_46 ),
inference(avatar_split_clause,[],[f634,f560,f356,f1512]) ).
fof(f1512,plain,
( spl32_164
<=> xa = sdtpldt0(sz00,xa) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_164])]) ).
fof(f634,plain,
( xa = sdtpldt0(sz00,xa)
| ~ spl32_5
| ~ spl32_46 ),
inference(resolution,[],[f561,f358]) ).
fof(f1510,plain,
( spl32_163
| ~ spl32_8
| ~ spl32_45 ),
inference(avatar_split_clause,[],[f630,f556,f371,f1507]) ).
fof(f1507,plain,
( spl32_163
<=> sK11 = sdtpldt0(sK11,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_163])]) ).
fof(f630,plain,
( sK11 = sdtpldt0(sK11,sz00)
| ~ spl32_8
| ~ spl32_45 ),
inference(resolution,[],[f557,f373]) ).
fof(f1505,plain,
( spl32_162
| ~ spl32_7
| ~ spl32_45 ),
inference(avatar_split_clause,[],[f629,f556,f366,f1502]) ).
fof(f1502,plain,
( spl32_162
<=> sK10 = sdtpldt0(sK10,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_162])]) ).
fof(f629,plain,
( sK10 = sdtpldt0(sK10,sz00)
| ~ spl32_7
| ~ spl32_45 ),
inference(resolution,[],[f557,f368]) ).
fof(f1500,plain,
( spl32_161
| ~ spl32_4
| ~ spl32_45 ),
inference(avatar_split_clause,[],[f628,f556,f351,f1497]) ).
fof(f1497,plain,
( spl32_161
<=> xr = sdtpldt0(xr,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_161])]) ).
fof(f628,plain,
( xr = sdtpldt0(xr,sz00)
| ~ spl32_4
| ~ spl32_45 ),
inference(resolution,[],[f557,f353]) ).
fof(f1495,plain,
( spl32_160
| ~ spl32_3
| ~ spl32_45 ),
inference(avatar_split_clause,[],[f627,f556,f346,f1492]) ).
fof(f1492,plain,
( spl32_160
<=> xq = sdtpldt0(xq,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_160])]) ).
fof(f627,plain,
( xq = sdtpldt0(xq,sz00)
| ~ spl32_3
| ~ spl32_45 ),
inference(resolution,[],[f557,f348]) ).
fof(f1490,plain,
( spl32_159
| ~ spl32_6
| ~ spl32_45 ),
inference(avatar_split_clause,[],[f626,f556,f361,f1487]) ).
fof(f1487,plain,
( spl32_159
<=> xb = sdtpldt0(xb,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_159])]) ).
fof(f626,plain,
( xb = sdtpldt0(xb,sz00)
| ~ spl32_6
| ~ spl32_45 ),
inference(resolution,[],[f557,f363]) ).
fof(f1485,plain,
( spl32_158
| ~ spl32_5
| ~ spl32_45 ),
inference(avatar_split_clause,[],[f625,f556,f356,f1482]) ).
fof(f1482,plain,
( spl32_158
<=> xa = sdtpldt0(xa,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_158])]) ).
fof(f625,plain,
( xa = sdtpldt0(xa,sz00)
| ~ spl32_5
| ~ spl32_45 ),
inference(resolution,[],[f557,f358]) ).
fof(f1480,plain,
( spl32_157
| ~ spl32_25
| ~ spl32_144 ),
inference(avatar_split_clause,[],[f1398,f1394,f456,f1477]) ).
fof(f1477,plain,
( spl32_157
<=> sP1(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_157])]) ).
fof(f1398,plain,
( sP1(sK9)
| ~ spl32_25
| ~ spl32_144 ),
inference(resolution,[],[f1396,f457]) ).
fof(f1475,plain,
( spl32_156
| ~ spl32_8
| ~ spl32_44 ),
inference(avatar_split_clause,[],[f621,f552,f371,f1472]) ).
fof(f1472,plain,
( spl32_156
<=> sz00 = sdtasdt0(sz00,sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_156])]) ).
fof(f621,plain,
( sz00 = sdtasdt0(sz00,sK11)
| ~ spl32_8
| ~ spl32_44 ),
inference(resolution,[],[f553,f373]) ).
fof(f1470,plain,
( spl32_155
| ~ spl32_7
| ~ spl32_44 ),
inference(avatar_split_clause,[],[f620,f552,f366,f1467]) ).
fof(f1467,plain,
( spl32_155
<=> sz00 = sdtasdt0(sz00,sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_155])]) ).
fof(f620,plain,
( sz00 = sdtasdt0(sz00,sK10)
| ~ spl32_7
| ~ spl32_44 ),
inference(resolution,[],[f553,f368]) ).
fof(f1465,plain,
( spl32_154
| ~ spl32_4
| ~ spl32_44 ),
inference(avatar_split_clause,[],[f619,f552,f351,f1462]) ).
fof(f1462,plain,
( spl32_154
<=> sz00 = sdtasdt0(sz00,xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_154])]) ).
fof(f619,plain,
( sz00 = sdtasdt0(sz00,xr)
| ~ spl32_4
| ~ spl32_44 ),
inference(resolution,[],[f553,f353]) ).
fof(f1460,plain,
( spl32_153
| ~ spl32_3
| ~ spl32_44 ),
inference(avatar_split_clause,[],[f618,f552,f346,f1457]) ).
fof(f1457,plain,
( spl32_153
<=> sz00 = sdtasdt0(sz00,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_153])]) ).
fof(f618,plain,
( sz00 = sdtasdt0(sz00,xq)
| ~ spl32_3
| ~ spl32_44 ),
inference(resolution,[],[f553,f348]) ).
fof(f1455,plain,
( spl32_152
| ~ spl32_6
| ~ spl32_44 ),
inference(avatar_split_clause,[],[f617,f552,f361,f1452]) ).
fof(f1452,plain,
( spl32_152
<=> sz00 = sdtasdt0(sz00,xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_152])]) ).
fof(f617,plain,
( sz00 = sdtasdt0(sz00,xb)
| ~ spl32_6
| ~ spl32_44 ),
inference(resolution,[],[f553,f363]) ).
fof(f1450,plain,
( spl32_151
| ~ spl32_5
| ~ spl32_44 ),
inference(avatar_split_clause,[],[f616,f552,f356,f1447]) ).
fof(f1447,plain,
( spl32_151
<=> sz00 = sdtasdt0(sz00,xa) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_151])]) ).
fof(f616,plain,
( sz00 = sdtasdt0(sz00,xa)
| ~ spl32_5
| ~ spl32_44 ),
inference(resolution,[],[f553,f358]) ).
fof(f1445,plain,
( spl32_150
| ~ spl32_8
| ~ spl32_42 ),
inference(avatar_split_clause,[],[f612,f543,f371,f1442]) ).
fof(f1442,plain,
( spl32_150
<=> sz00 = sdtasdt0(sK11,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_150])]) ).
fof(f612,plain,
( sz00 = sdtasdt0(sK11,sz00)
| ~ spl32_8
| ~ spl32_42 ),
inference(resolution,[],[f544,f373]) ).
fof(f1440,plain,
( spl32_149
| ~ spl32_7
| ~ spl32_42 ),
inference(avatar_split_clause,[],[f611,f543,f366,f1437]) ).
fof(f1437,plain,
( spl32_149
<=> sz00 = sdtasdt0(sK10,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_149])]) ).
fof(f611,plain,
( sz00 = sdtasdt0(sK10,sz00)
| ~ spl32_7
| ~ spl32_42 ),
inference(resolution,[],[f544,f368]) ).
fof(f1435,plain,
( spl32_148
| ~ spl32_4
| ~ spl32_42 ),
inference(avatar_split_clause,[],[f610,f543,f351,f1432]) ).
fof(f1432,plain,
( spl32_148
<=> sz00 = sdtasdt0(xr,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_148])]) ).
fof(f610,plain,
( sz00 = sdtasdt0(xr,sz00)
| ~ spl32_4
| ~ spl32_42 ),
inference(resolution,[],[f544,f353]) ).
fof(f1430,plain,
( spl32_147
| ~ spl32_3
| ~ spl32_42 ),
inference(avatar_split_clause,[],[f609,f543,f346,f1427]) ).
fof(f1427,plain,
( spl32_147
<=> sz00 = sdtasdt0(xq,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_147])]) ).
fof(f609,plain,
( sz00 = sdtasdt0(xq,sz00)
| ~ spl32_3
| ~ spl32_42 ),
inference(resolution,[],[f544,f348]) ).
fof(f1425,plain,
( spl32_146
| ~ spl32_6
| ~ spl32_42 ),
inference(avatar_split_clause,[],[f608,f543,f361,f1422]) ).
fof(f1422,plain,
( spl32_146
<=> sz00 = sdtasdt0(xb,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_146])]) ).
fof(f608,plain,
( sz00 = sdtasdt0(xb,sz00)
| ~ spl32_6
| ~ spl32_42 ),
inference(resolution,[],[f544,f363]) ).
fof(f1420,plain,
( spl32_145
| ~ spl32_5
| ~ spl32_42 ),
inference(avatar_split_clause,[],[f607,f543,f356,f1417]) ).
fof(f1417,plain,
( spl32_145
<=> sz00 = sdtasdt0(xa,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_145])]) ).
fof(f607,plain,
( sz00 = sdtasdt0(xa,sz00)
| ~ spl32_5
| ~ spl32_42 ),
inference(resolution,[],[f544,f358]) ).
fof(f1397,plain,
( ~ spl32_70
| spl32_144
| ~ spl32_18
| ~ spl32_41 ),
inference(avatar_split_clause,[],[f599,f539,f421,f1394,f741]) ).
fof(f599,plain,
( aElement0(sK9)
| ~ aSet0(xI)
| ~ spl32_18
| ~ spl32_41 ),
inference(resolution,[],[f540,f423]) ).
fof(f1378,plain,
spl32_143,
inference(avatar_split_clause,[],[f285,f1376]) ).
fof(f285,plain,
! [X2,X0,X1,X4,X5] :
( sP5(X0,X1,X2)
| sdtpldt0(X4,X5) != sK21(X0,X1,X2)
| ~ aElementOf0(X5,X0)
| ~ aElementOf0(X4,X1)
| ~ aElementOf0(sK21(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f172]) ).
fof(f172,plain,
! [X0,X1,X2] :
( ( sP5(X0,X1,X2)
| ( ( ! [X4,X5] :
( sdtpldt0(X4,X5) != sK21(X0,X1,X2)
| ~ aElementOf0(X5,X0)
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(sK21(X0,X1,X2),X2) )
& ( ( sK21(X0,X1,X2) = sdtpldt0(sK22(X0,X1,X2),sK23(X0,X1,X2))
& aElementOf0(sK23(X0,X1,X2),X0)
& aElementOf0(sK22(X0,X1,X2),X1) )
| aElementOf0(sK21(X0,X1,X2),X2) ) ) )
& ( ! [X8] :
( ( aElementOf0(X8,X2)
| ! [X9,X10] :
( sdtpldt0(X9,X10) != X8
| ~ aElementOf0(X10,X0)
| ~ aElementOf0(X9,X1) ) )
& ( ( sdtpldt0(sK24(X0,X1,X8),sK25(X0,X1,X8)) = X8
& aElementOf0(sK25(X0,X1,X8),X0)
& aElementOf0(sK24(X0,X1,X8),X1) )
| ~ aElementOf0(X8,X2) ) )
| ~ sP5(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21,sK22,sK23,sK24,sK25])],[f168,f171,f170,f169]) ).
fof(f169,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ! [X4,X5] :
( sdtpldt0(X4,X5) != X3
| ~ aElementOf0(X5,X0)
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(X3,X2) )
& ( ? [X6,X7] :
( sdtpldt0(X6,X7) = X3
& aElementOf0(X7,X0)
& aElementOf0(X6,X1) )
| aElementOf0(X3,X2) ) )
=> ( ( ! [X5,X4] :
( sdtpldt0(X4,X5) != sK21(X0,X1,X2)
| ~ aElementOf0(X5,X0)
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(sK21(X0,X1,X2),X2) )
& ( ? [X7,X6] :
( sdtpldt0(X6,X7) = sK21(X0,X1,X2)
& aElementOf0(X7,X0)
& aElementOf0(X6,X1) )
| aElementOf0(sK21(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f170,plain,
! [X0,X1,X2] :
( ? [X7,X6] :
( sdtpldt0(X6,X7) = sK21(X0,X1,X2)
& aElementOf0(X7,X0)
& aElementOf0(X6,X1) )
=> ( sK21(X0,X1,X2) = sdtpldt0(sK22(X0,X1,X2),sK23(X0,X1,X2))
& aElementOf0(sK23(X0,X1,X2),X0)
& aElementOf0(sK22(X0,X1,X2),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f171,plain,
! [X0,X1,X8] :
( ? [X11,X12] :
( sdtpldt0(X11,X12) = X8
& aElementOf0(X12,X0)
& aElementOf0(X11,X1) )
=> ( sdtpldt0(sK24(X0,X1,X8),sK25(X0,X1,X8)) = X8
& aElementOf0(sK25(X0,X1,X8),X0)
& aElementOf0(sK24(X0,X1,X8),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f168,plain,
! [X0,X1,X2] :
( ( sP5(X0,X1,X2)
| ? [X3] :
( ( ! [X4,X5] :
( sdtpldt0(X4,X5) != X3
| ~ aElementOf0(X5,X0)
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(X3,X2) )
& ( ? [X6,X7] :
( sdtpldt0(X6,X7) = X3
& aElementOf0(X7,X0)
& aElementOf0(X6,X1) )
| aElementOf0(X3,X2) ) ) )
& ( ! [X8] :
( ( aElementOf0(X8,X2)
| ! [X9,X10] :
( sdtpldt0(X9,X10) != X8
| ~ aElementOf0(X10,X0)
| ~ aElementOf0(X9,X1) ) )
& ( ? [X11,X12] :
( sdtpldt0(X11,X12) = X8
& aElementOf0(X12,X0)
& aElementOf0(X11,X1) )
| ~ aElementOf0(X8,X2) ) )
| ~ sP5(X0,X1,X2) ) ),
inference(rectify,[],[f167]) ).
fof(f167,plain,
! [X1,X0,X2] :
( ( sP5(X1,X0,X2)
| ? [X3] :
( ( ! [X4,X5] :
( sdtpldt0(X4,X5) != X3
| ~ aElementOf0(X5,X1)
| ~ aElementOf0(X4,X0) )
| ~ aElementOf0(X3,X2) )
& ( ? [X4,X5] :
( sdtpldt0(X4,X5) = X3
& aElementOf0(X5,X1)
& aElementOf0(X4,X0) )
| aElementOf0(X3,X2) ) ) )
& ( ! [X3] :
( ( aElementOf0(X3,X2)
| ! [X4,X5] :
( sdtpldt0(X4,X5) != X3
| ~ aElementOf0(X5,X1)
| ~ aElementOf0(X4,X0) ) )
& ( ? [X4,X5] :
( sdtpldt0(X4,X5) = X3
& aElementOf0(X5,X1)
& aElementOf0(X4,X0) )
| ~ aElementOf0(X3,X2) ) )
| ~ sP5(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X1,X0,X2] :
( sP5(X1,X0,X2)
<=> ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4,X5] :
( sdtpldt0(X4,X5) = X3
& aElementOf0(X5,X1)
& aElementOf0(X4,X0) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f1374,plain,
spl32_142,
inference(avatar_split_clause,[],[f284,f1372]) ).
fof(f284,plain,
! [X2,X0,X1] :
( sP5(X0,X1,X2)
| sK21(X0,X1,X2) = sdtpldt0(sK22(X0,X1,X2),sK23(X0,X1,X2))
| aElementOf0(sK21(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f172]) ).
fof(f1370,plain,
spl32_141,
inference(avatar_split_clause,[],[f276,f1368]) ).
fof(f1368,plain,
( spl32_141
<=> ! [X2,X0,X1] :
( sP3(X0,X1,X2)
| ~ aElementOf0(sK20(X0,X1,X2),X0)
| ~ aElementOf0(sK20(X0,X1,X2),X1)
| ~ aElementOf0(sK20(X0,X1,X2),X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_141])]) ).
fof(f276,plain,
! [X2,X0,X1] :
( sP3(X0,X1,X2)
| ~ aElementOf0(sK20(X0,X1,X2),X0)
| ~ aElementOf0(sK20(X0,X1,X2),X1)
| ~ aElementOf0(sK20(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f166]) ).
fof(f166,plain,
! [X0,X1,X2] :
( ( sP3(X0,X1,X2)
| ( ( ~ aElementOf0(sK20(X0,X1,X2),X0)
| ~ aElementOf0(sK20(X0,X1,X2),X1)
| ~ aElementOf0(sK20(X0,X1,X2),X2) )
& ( ( aElementOf0(sK20(X0,X1,X2),X0)
& aElementOf0(sK20(X0,X1,X2),X1) )
| aElementOf0(sK20(X0,X1,X2),X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| ~ aElementOf0(X4,X0)
| ~ aElementOf0(X4,X1) )
& ( ( aElementOf0(X4,X0)
& aElementOf0(X4,X1) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| ~ sP3(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20])],[f164,f165]) ).
fof(f165,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ~ aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ aElementOf0(X3,X2) )
& ( ( aElementOf0(X3,X0)
& aElementOf0(X3,X1) )
| aElementOf0(X3,X2) ) )
=> ( ( ~ aElementOf0(sK20(X0,X1,X2),X0)
| ~ aElementOf0(sK20(X0,X1,X2),X1)
| ~ aElementOf0(sK20(X0,X1,X2),X2) )
& ( ( aElementOf0(sK20(X0,X1,X2),X0)
& aElementOf0(sK20(X0,X1,X2),X1) )
| aElementOf0(sK20(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f164,plain,
! [X0,X1,X2] :
( ( sP3(X0,X1,X2)
| ? [X3] :
( ( ~ aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ aElementOf0(X3,X2) )
& ( ( aElementOf0(X3,X0)
& aElementOf0(X3,X1) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| ~ aElementOf0(X4,X0)
| ~ aElementOf0(X4,X1) )
& ( ( aElementOf0(X4,X0)
& aElementOf0(X4,X1) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| ~ sP3(X0,X1,X2) ) ),
inference(rectify,[],[f163]) ).
fof(f163,plain,
! [X1,X0,X2] :
( ( sP3(X1,X0,X2)
| ? [X3] :
( ( ~ aElementOf0(X3,X1)
| ~ aElementOf0(X3,X0)
| ~ aElementOf0(X3,X2) )
& ( ( aElementOf0(X3,X1)
& aElementOf0(X3,X0) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| ~ aElementOf0(X3,X1)
| ~ aElementOf0(X3,X0) )
& ( ( aElementOf0(X3,X1)
& aElementOf0(X3,X0) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| ~ sP3(X1,X0,X2) ) ),
inference(flattening,[],[f162]) ).
fof(f162,plain,
! [X1,X0,X2] :
( ( sP3(X1,X0,X2)
| ? [X3] :
( ( ~ aElementOf0(X3,X1)
| ~ aElementOf0(X3,X0)
| ~ aElementOf0(X3,X2) )
& ( ( aElementOf0(X3,X1)
& aElementOf0(X3,X0) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| ~ aElementOf0(X3,X1)
| ~ aElementOf0(X3,X0) )
& ( ( aElementOf0(X3,X1)
& aElementOf0(X3,X0) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| ~ sP3(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X1,X0,X2] :
( sP3(X1,X0,X2)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElementOf0(X3,X1)
& aElementOf0(X3,X0) ) )
& aSet0(X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f1366,plain,
( spl32_140
| ~ spl32_25
| ~ spl32_130 ),
inference(avatar_split_clause,[],[f1287,f1206,f456,f1363]) ).
fof(f1363,plain,
( spl32_140
<=> sP1(xu) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_140])]) ).
fof(f1287,plain,
( sP1(xu)
| ~ spl32_25
| ~ spl32_130 ),
inference(resolution,[],[f1208,f457]) ).
fof(f1322,plain,
spl32_139,
inference(avatar_split_clause,[],[f324,f1320]) ).
fof(f324,plain,
! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0,X1,X2] :
( ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f116]) ).
fof(f116,plain,
! [X0,X1,X2] :
( ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aElement0(X2)
& aElement0(X1)
& aElement0(X0) )
=> ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAMDistr) ).
fof(f1318,plain,
spl32_138,
inference(avatar_split_clause,[],[f323,f1316]) ).
fof(f323,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f1314,plain,
spl32_137,
inference(avatar_split_clause,[],[f299,f1312]) ).
fof(f299,plain,
! [X0,X1] :
( iLess0(sbrdtbr0(sK29(X0,X1)),sbrdtbr0(X1))
| sz00 = sK29(X0,X1)
| sz00 = X1
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f182]) ).
fof(f182,plain,
! [X0,X1] :
( ( ( iLess0(sbrdtbr0(sK29(X0,X1)),sbrdtbr0(X1))
| sz00 = sK29(X0,X1) )
& sdtpldt0(sdtasdt0(sK28(X0,X1),X1),sK29(X0,X1)) = X0
& aElement0(sK29(X0,X1))
& aElement0(sK28(X0,X1)) )
| sz00 = X1
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK28,sK29])],[f93,f181]) ).
fof(f181,plain,
! [X0,X1] :
( ? [X2,X3] :
( ( iLess0(sbrdtbr0(X3),sbrdtbr0(X1))
| sz00 = X3 )
& sdtpldt0(sdtasdt0(X2,X1),X3) = X0
& aElement0(X3)
& aElement0(X2) )
=> ( ( iLess0(sbrdtbr0(sK29(X0,X1)),sbrdtbr0(X1))
| sz00 = sK29(X0,X1) )
& sdtpldt0(sdtasdt0(sK28(X0,X1),X1),sK29(X0,X1)) = X0
& aElement0(sK29(X0,X1))
& aElement0(sK28(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f93,plain,
! [X0,X1] :
( ? [X2,X3] :
( ( iLess0(sbrdtbr0(X3),sbrdtbr0(X1))
| sz00 = X3 )
& sdtpldt0(sdtasdt0(X2,X1),X3) = X0
& aElement0(X3)
& aElement0(X2) )
| sz00 = X1
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f92]) ).
fof(f92,plain,
! [X0,X1] :
( ? [X2,X3] :
( ( iLess0(sbrdtbr0(X3),sbrdtbr0(X1))
| sz00 = X3 )
& sdtpldt0(sdtasdt0(X2,X1),X3) = X0
& aElement0(X3)
& aElement0(X2) )
| sz00 = X1
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0,X1] :
( ( sz00 != X1
& aElement0(X1)
& aElement0(X0) )
=> ? [X2,X3] :
( ( sz00 != X3
=> iLess0(sbrdtbr0(X3),sbrdtbr0(X1)) )
& sdtpldt0(sdtasdt0(X2,X1),X3) = X0
& aElement0(X3)
& aElement0(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDivision) ).
fof(f1310,plain,
spl32_136,
inference(avatar_split_clause,[],[f252,f1308]) ).
fof(f1308,plain,
( spl32_136
<=> ! [X0,X1,X3] :
( sP0(X0,X1)
| sdtasdt0(X0,X3) != sK12(X0,X1)
| ~ aElement0(X3)
| ~ aElementOf0(sK12(X0,X1),X1)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_136])]) ).
fof(f252,plain,
! [X3,X0,X1] :
( sP0(X0,X1)
| sdtasdt0(X0,X3) != sK12(X0,X1)
| ~ aElement0(X3)
| ~ aElementOf0(sK12(X0,X1),X1)
| ~ aSet0(X1) ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ( ( ! [X3] :
( sdtasdt0(X0,X3) != sK12(X0,X1)
| ~ aElement0(X3) )
| ~ aElementOf0(sK12(X0,X1),X1) )
& ( ( sK12(X0,X1) = sdtasdt0(X0,sK13(X0,X1))
& aElement0(sK13(X0,X1)) )
| aElementOf0(sK12(X0,X1),X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X5] :
( ( aElementOf0(X5,X1)
| ! [X6] :
( sdtasdt0(X0,X6) != X5
| ~ aElement0(X6) ) )
& ( ( sdtasdt0(X0,sK14(X0,X5)) = X5
& aElement0(sK14(X0,X5)) )
| ~ aElementOf0(X5,X1) ) )
& aSet0(X1) )
| ~ sP0(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13,sK14])],[f142,f145,f144,f143]) ).
fof(f143,plain,
! [X0,X1] :
( ? [X2] :
( ( ! [X3] :
( sdtasdt0(X0,X3) != X2
| ~ aElement0(X3) )
| ~ aElementOf0(X2,X1) )
& ( ? [X4] :
( sdtasdt0(X0,X4) = X2
& aElement0(X4) )
| aElementOf0(X2,X1) ) )
=> ( ( ! [X3] :
( sdtasdt0(X0,X3) != sK12(X0,X1)
| ~ aElement0(X3) )
| ~ aElementOf0(sK12(X0,X1),X1) )
& ( ? [X4] :
( sdtasdt0(X0,X4) = sK12(X0,X1)
& aElement0(X4) )
| aElementOf0(sK12(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f144,plain,
! [X0,X1] :
( ? [X4] :
( sdtasdt0(X0,X4) = sK12(X0,X1)
& aElement0(X4) )
=> ( sK12(X0,X1) = sdtasdt0(X0,sK13(X0,X1))
& aElement0(sK13(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f145,plain,
! [X0,X5] :
( ? [X7] :
( sdtasdt0(X0,X7) = X5
& aElement0(X7) )
=> ( sdtasdt0(X0,sK14(X0,X5)) = X5
& aElement0(sK14(X0,X5)) ) ),
introduced(choice_axiom,[]) ).
fof(f142,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ? [X2] :
( ( ! [X3] :
( sdtasdt0(X0,X3) != X2
| ~ aElement0(X3) )
| ~ aElementOf0(X2,X1) )
& ( ? [X4] :
( sdtasdt0(X0,X4) = X2
& aElement0(X4) )
| aElementOf0(X2,X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X5] :
( ( aElementOf0(X5,X1)
| ! [X6] :
( sdtasdt0(X0,X6) != X5
| ~ aElement0(X6) ) )
& ( ? [X7] :
( sdtasdt0(X0,X7) = X5
& aElement0(X7) )
| ~ aElementOf0(X5,X1) ) )
& aSet0(X1) )
| ~ sP0(X0,X1) ) ),
inference(rectify,[],[f141]) ).
fof(f141,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ? [X2] :
( ( ! [X3] :
( sdtasdt0(X0,X3) != X2
| ~ aElement0(X3) )
| ~ aElementOf0(X2,X1) )
& ( ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) )
| aElementOf0(X2,X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( ( aElementOf0(X2,X1)
| ! [X3] :
( sdtasdt0(X0,X3) != X2
| ~ aElement0(X3) ) )
& ( ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) )
| ~ aElementOf0(X2,X1) ) )
& aSet0(X1) )
| ~ sP0(X0,X1) ) ),
inference(flattening,[],[f140]) ).
fof(f140,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ? [X2] :
( ( ! [X3] :
( sdtasdt0(X0,X3) != X2
| ~ aElement0(X3) )
| ~ aElementOf0(X2,X1) )
& ( ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) )
| aElementOf0(X2,X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( ( aElementOf0(X2,X1)
| ! [X3] :
( sdtasdt0(X0,X3) != X2
| ~ aElement0(X3) ) )
& ( ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) )
| ~ aElementOf0(X2,X1) ) )
& aSet0(X1) )
| ~ sP0(X0,X1) ) ),
inference(nnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0,X1] :
( sP0(X0,X1)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) ) )
& aSet0(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f1306,plain,
spl32_135,
inference(avatar_split_clause,[],[f251,f1304]) ).
fof(f251,plain,
! [X0,X1] :
( sP0(X0,X1)
| sK12(X0,X1) = sdtasdt0(X0,sK13(X0,X1))
| aElementOf0(sK12(X0,X1),X1)
| ~ aSet0(X1) ),
inference(cnf_transformation,[],[f146]) ).
fof(f1257,plain,
spl32_134,
inference(avatar_split_clause,[],[f298,f1255]) ).
fof(f298,plain,
! [X0,X1] :
( sdtpldt0(sdtasdt0(sK28(X0,X1),X1),sK29(X0,X1)) = X0
| sz00 = X1
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f182]) ).
fof(f1253,plain,
spl32_133,
inference(avatar_split_clause,[],[f280,f1251]) ).
fof(f280,plain,
! [X2,X0,X1,X8] :
( sdtpldt0(sK24(X0,X1,X8),sK25(X0,X1,X8)) = X8
| ~ aElementOf0(X8,X2)
| ~ sP5(X0,X1,X2) ),
inference(cnf_transformation,[],[f172]) ).
fof(f1249,plain,
spl32_132,
inference(avatar_split_clause,[],[f275,f1247]) ).
fof(f275,plain,
! [X2,X0,X1] :
( sP3(X0,X1,X2)
| aElementOf0(sK20(X0,X1,X2),X0)
| aElementOf0(sK20(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f166]) ).
fof(f1245,plain,
spl32_131,
inference(avatar_split_clause,[],[f274,f1243]) ).
fof(f274,plain,
! [X2,X0,X1] :
( sP3(X0,X1,X2)
| aElementOf0(sK20(X0,X1,X2),X1)
| aElementOf0(sK20(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f166]) ).
fof(f1209,plain,
( ~ spl32_70
| spl32_130
| ~ spl32_15
| ~ spl32_41 ),
inference(avatar_split_clause,[],[f598,f539,f406,f1206,f741]) ).
fof(f598,plain,
( aElement0(xu)
| ~ aSet0(xI)
| ~ spl32_15
| ~ spl32_41 ),
inference(resolution,[],[f540,f408]) ).
fof(f1191,plain,
spl32_129,
inference(avatar_split_clause,[],[f322,f1189]) ).
fof(f322,plain,
! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0,X1,X2] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f114]) ).
fof(f114,plain,
! [X0,X1,X2] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0,X1,X2] :
( ( aElement0(X2)
& aElement0(X1)
& aElement0(X0) )
=> sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulAsso) ).
fof(f1187,plain,
spl32_128,
inference(avatar_split_clause,[],[f321,f1185]) ).
fof(f321,plain,
! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0,X1,X2] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f112]) ).
fof(f112,plain,
! [X0,X1,X2] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1,X2] :
( ( aElement0(X2)
& aElement0(X1)
& aElement0(X0) )
=> sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddAsso) ).
fof(f1183,plain,
spl32_127,
inference(avatar_split_clause,[],[f267,f1181]) ).
fof(f1181,plain,
( spl32_127
<=> ! [X0,X1] :
( X0 = X1
| ~ aElementOf0(sK18(X0,X1),X0)
| ~ aElementOf0(sK19(X0,X1),X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_127])]) ).
fof(f267,plain,
! [X0,X1] :
( X0 = X1
| ~ aElementOf0(sK18(X0,X1),X0)
| ~ aElementOf0(sK19(X0,X1),X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f160]) ).
fof(f160,plain,
! [X0,X1] :
( X0 = X1
| ( ~ aElementOf0(sK18(X0,X1),X0)
& aElementOf0(sK18(X0,X1),X1) )
| ( ~ aElementOf0(sK19(X0,X1),X1)
& aElementOf0(sK19(X0,X1),X0) )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18,sK19])],[f81,f159,f158]) ).
fof(f158,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK18(X0,X1),X0)
& aElementOf0(sK18(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f159,plain,
! [X0,X1] :
( ? [X3] :
( ~ aElementOf0(X3,X1)
& aElementOf0(X3,X0) )
=> ( ~ aElementOf0(sK19(X0,X1),X1)
& aElementOf0(sK19(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f81,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ? [X3] :
( ~ aElementOf0(X3,X1)
& aElementOf0(X3,X0) )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ? [X3] :
( ~ aElementOf0(X3,X1)
& aElementOf0(X3,X0) )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0,X1] :
( ( aSet0(X1)
& aSet0(X0) )
=> ( ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) )
& ! [X3] :
( aElementOf0(X3,X0)
=> aElementOf0(X3,X1) ) )
=> X0 = X1 ) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X0,X1] :
( ( aSet0(X1)
& aSet0(X0) )
=> ( ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) )
& ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(X2,X1) ) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSetEq) ).
fof(f1179,plain,
spl32_126,
inference(avatar_split_clause,[],[f266,f1177]) ).
fof(f1177,plain,
( spl32_126
<=> ! [X0,X1] :
( X0 = X1
| ~ aElementOf0(sK18(X0,X1),X0)
| aElementOf0(sK19(X0,X1),X0)
| ~ aSet0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_126])]) ).
fof(f266,plain,
! [X0,X1] :
( X0 = X1
| ~ aElementOf0(sK18(X0,X1),X0)
| aElementOf0(sK19(X0,X1),X0)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f160]) ).
fof(f1175,plain,
spl32_125,
inference(avatar_split_clause,[],[f265,f1173]) ).
fof(f1173,plain,
( spl32_125
<=> ! [X0,X1] :
( X0 = X1
| aElementOf0(sK18(X0,X1),X1)
| ~ aElementOf0(sK19(X0,X1),X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_125])]) ).
fof(f265,plain,
! [X0,X1] :
( X0 = X1
| aElementOf0(sK18(X0,X1),X1)
| ~ aElementOf0(sK19(X0,X1),X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f160]) ).
fof(f1171,plain,
spl32_124,
inference(avatar_split_clause,[],[f264,f1169]) ).
fof(f264,plain,
! [X0,X1] :
( X0 = X1
| aElementOf0(sK18(X0,X1),X1)
| aElementOf0(sK19(X0,X1),X0)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f160]) ).
fof(f1167,plain,
spl32_123,
inference(avatar_split_clause,[],[f259,f1165]) ).
fof(f259,plain,
! [X0,X1] :
( sP2(X0,X1)
| ~ aElementOf0(sdtasdt0(sK15(X0,X1),X1),X0)
| ~ aElementOf0(sdtpldt0(X1,sK16(X0,X1)),X0) ),
inference(cnf_transformation,[],[f152]) ).
fof(f152,plain,
! [X0,X1] :
( ( sP2(X0,X1)
| ( ~ aElementOf0(sdtasdt0(sK15(X0,X1),X1),X0)
& aElement0(sK15(X0,X1)) )
| ( ~ aElementOf0(sdtpldt0(X1,sK16(X0,X1)),X0)
& aElementOf0(sK16(X0,X1),X0) ) )
& ( ( ! [X4] :
( aElementOf0(sdtasdt0(X4,X1),X0)
| ~ aElement0(X4) )
& ! [X5] :
( aElementOf0(sdtpldt0(X1,X5),X0)
| ~ aElementOf0(X5,X0) ) )
| ~ sP2(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15,sK16])],[f149,f151,f150]) ).
fof(f150,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(sdtasdt0(X2,X1),X0)
& aElement0(X2) )
=> ( ~ aElementOf0(sdtasdt0(sK15(X0,X1),X1),X0)
& aElement0(sK15(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f151,plain,
! [X0,X1] :
( ? [X3] :
( ~ aElementOf0(sdtpldt0(X1,X3),X0)
& aElementOf0(X3,X0) )
=> ( ~ aElementOf0(sdtpldt0(X1,sK16(X0,X1)),X0)
& aElementOf0(sK16(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f149,plain,
! [X0,X1] :
( ( sP2(X0,X1)
| ? [X2] :
( ~ aElementOf0(sdtasdt0(X2,X1),X0)
& aElement0(X2) )
| ? [X3] :
( ~ aElementOf0(sdtpldt0(X1,X3),X0)
& aElementOf0(X3,X0) ) )
& ( ( ! [X4] :
( aElementOf0(sdtasdt0(X4,X1),X0)
| ~ aElement0(X4) )
& ! [X5] :
( aElementOf0(sdtpldt0(X1,X5),X0)
| ~ aElementOf0(X5,X0) ) )
| ~ sP2(X0,X1) ) ),
inference(rectify,[],[f148]) ).
fof(f148,plain,
! [X0,X1] :
( ( sP2(X0,X1)
| ? [X2] :
( ~ aElementOf0(sdtasdt0(X2,X1),X0)
& aElement0(X2) )
| ? [X3] :
( ~ aElementOf0(sdtpldt0(X1,X3),X0)
& aElementOf0(X3,X0) ) )
& ( ( ! [X2] :
( aElementOf0(sdtasdt0(X2,X1),X0)
| ~ aElement0(X2) )
& ! [X3] :
( aElementOf0(sdtpldt0(X1,X3),X0)
| ~ aElementOf0(X3,X0) ) )
| ~ sP2(X0,X1) ) ),
inference(flattening,[],[f147]) ).
fof(f147,plain,
! [X0,X1] :
( ( sP2(X0,X1)
| ? [X2] :
( ~ aElementOf0(sdtasdt0(X2,X1),X0)
& aElement0(X2) )
| ? [X3] :
( ~ aElementOf0(sdtpldt0(X1,X3),X0)
& aElementOf0(X3,X0) ) )
& ( ( ! [X2] :
( aElementOf0(sdtasdt0(X2,X1),X0)
| ~ aElement0(X2) )
& ! [X3] :
( aElementOf0(sdtpldt0(X1,X3),X0)
| ~ aElementOf0(X3,X0) ) )
| ~ sP2(X0,X1) ) ),
inference(nnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0,X1] :
( sP2(X0,X1)
<=> ( ! [X2] :
( aElementOf0(sdtasdt0(X2,X1),X0)
| ~ aElement0(X2) )
& ! [X3] :
( aElementOf0(sdtpldt0(X1,X3),X0)
| ~ aElementOf0(X3,X0) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f1145,plain,
spl32_122,
inference(avatar_split_clause,[],[f320,f1143]) ).
fof(f320,plain,
! [X2,X0,X1] :
( sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aElementOf0(sdtpldt0(X0,smndt0(X1)),X2)
| ~ aIdeal0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f194]) ).
fof(f194,plain,
! [X0,X1,X2] :
( ( ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aElementOf0(sdtpldt0(X0,smndt0(X1)),X2) )
& ( aElementOf0(sdtpldt0(X0,smndt0(X1)),X2)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2) ) )
| ~ aIdeal0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(nnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0,X1,X2] :
( ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
<=> aElementOf0(sdtpldt0(X0,smndt0(X1)),X2) )
| ~ aIdeal0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f110]) ).
fof(f110,plain,
! [X0,X1,X2] :
( ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
<=> aElementOf0(sdtpldt0(X0,smndt0(X1)),X2) )
| ~ aIdeal0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0,X1,X2] :
( ( aIdeal0(X2)
& aElement0(X1)
& aElement0(X0) )
=> ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
<=> aElementOf0(sdtpldt0(X0,smndt0(X1)),X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefMod) ).
fof(f1141,plain,
spl32_121,
inference(avatar_split_clause,[],[f319,f1139]) ).
fof(f319,plain,
! [X2,X0,X1] :
( aElementOf0(sdtpldt0(X0,smndt0(X1)),X2)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aIdeal0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f194]) ).
fof(f1137,plain,
spl32_120,
inference(avatar_split_clause,[],[f317,f1135]) ).
fof(f1135,plain,
( spl32_120
<=> ! [X2,X0,X1] :
( sP7(X0,X1,X2)
| ~ doDivides0(sK31(X0,X1,X2),X0)
| ~ aDivisorOf0(X0,X1)
| ~ aDivisorOf0(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_120])]) ).
fof(f317,plain,
! [X2,X0,X1] :
( sP7(X0,X1,X2)
| ~ doDivides0(sK31(X0,X1,X2),X0)
| ~ aDivisorOf0(X0,X1)
| ~ aDivisorOf0(X0,X2) ),
inference(cnf_transformation,[],[f193]) ).
fof(f193,plain,
! [X0,X1,X2] :
( ( sP7(X0,X1,X2)
| ( ~ doDivides0(sK31(X0,X1,X2),X0)
& aDivisorOf0(sK31(X0,X1,X2),X1)
& aDivisorOf0(sK31(X0,X1,X2),X2) )
| ~ aDivisorOf0(X0,X1)
| ~ aDivisorOf0(X0,X2) )
& ( ( ! [X4] :
( doDivides0(X4,X0)
| ~ aDivisorOf0(X4,X1)
| ~ aDivisorOf0(X4,X2) )
& aDivisorOf0(X0,X1)
& aDivisorOf0(X0,X2) )
| ~ sP7(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK31])],[f191,f192]) ).
fof(f192,plain,
! [X0,X1,X2] :
( ? [X3] :
( ~ doDivides0(X3,X0)
& aDivisorOf0(X3,X1)
& aDivisorOf0(X3,X2) )
=> ( ~ doDivides0(sK31(X0,X1,X2),X0)
& aDivisorOf0(sK31(X0,X1,X2),X1)
& aDivisorOf0(sK31(X0,X1,X2),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f191,plain,
! [X0,X1,X2] :
( ( sP7(X0,X1,X2)
| ? [X3] :
( ~ doDivides0(X3,X0)
& aDivisorOf0(X3,X1)
& aDivisorOf0(X3,X2) )
| ~ aDivisorOf0(X0,X1)
| ~ aDivisorOf0(X0,X2) )
& ( ( ! [X4] :
( doDivides0(X4,X0)
| ~ aDivisorOf0(X4,X1)
| ~ aDivisorOf0(X4,X2) )
& aDivisorOf0(X0,X1)
& aDivisorOf0(X0,X2) )
| ~ sP7(X0,X1,X2) ) ),
inference(rectify,[],[f190]) ).
fof(f190,plain,
! [X2,X1,X0] :
( ( sP7(X2,X1,X0)
| ? [X3] :
( ~ doDivides0(X3,X2)
& aDivisorOf0(X3,X1)
& aDivisorOf0(X3,X0) )
| ~ aDivisorOf0(X2,X1)
| ~ aDivisorOf0(X2,X0) )
& ( ( ! [X3] :
( doDivides0(X3,X2)
| ~ aDivisorOf0(X3,X1)
| ~ aDivisorOf0(X3,X0) )
& aDivisorOf0(X2,X1)
& aDivisorOf0(X2,X0) )
| ~ sP7(X2,X1,X0) ) ),
inference(flattening,[],[f189]) ).
fof(f189,plain,
! [X2,X1,X0] :
( ( sP7(X2,X1,X0)
| ? [X3] :
( ~ doDivides0(X3,X2)
& aDivisorOf0(X3,X1)
& aDivisorOf0(X3,X0) )
| ~ aDivisorOf0(X2,X1)
| ~ aDivisorOf0(X2,X0) )
& ( ( ! [X3] :
( doDivides0(X3,X2)
| ~ aDivisorOf0(X3,X1)
| ~ aDivisorOf0(X3,X0) )
& aDivisorOf0(X2,X1)
& aDivisorOf0(X2,X0) )
| ~ sP7(X2,X1,X0) ) ),
inference(nnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X2,X1,X0] :
( sP7(X2,X1,X0)
<=> ( ! [X3] :
( doDivides0(X3,X2)
| ~ aDivisorOf0(X3,X1)
| ~ aDivisorOf0(X3,X0) )
& aDivisorOf0(X2,X1)
& aDivisorOf0(X2,X0) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f1133,plain,
spl32_119,
inference(avatar_split_clause,[],[f316,f1131]) ).
fof(f316,plain,
! [X2,X0,X1] :
( sP7(X0,X1,X2)
| aDivisorOf0(sK31(X0,X1,X2),X1)
| ~ aDivisorOf0(X0,X1)
| ~ aDivisorOf0(X0,X2) ),
inference(cnf_transformation,[],[f193]) ).
fof(f1129,plain,
spl32_118,
inference(avatar_split_clause,[],[f315,f1127]) ).
fof(f315,plain,
! [X2,X0,X1] :
( sP7(X0,X1,X2)
| aDivisorOf0(sK31(X0,X1,X2),X2)
| ~ aDivisorOf0(X0,X1)
| ~ aDivisorOf0(X0,X2) ),
inference(cnf_transformation,[],[f193]) ).
fof(f1125,plain,
spl32_117,
inference(avatar_split_clause,[],[f283,f1123]) ).
fof(f283,plain,
! [X2,X0,X1] :
( sP5(X0,X1,X2)
| aElementOf0(sK23(X0,X1,X2),X0)
| aElementOf0(sK21(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f172]) ).
fof(f1121,plain,
spl32_116,
inference(avatar_split_clause,[],[f282,f1119]) ).
fof(f282,plain,
! [X2,X0,X1] :
( sP5(X0,X1,X2)
| aElementOf0(sK22(X0,X1,X2),X1)
| aElementOf0(sK21(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f172]) ).
fof(f1116,plain,
( spl32_115
| ~ spl32_9
| ~ spl32_25 ),
inference(avatar_split_clause,[],[f464,f456,f376,f1113]) ).
fof(f1113,plain,
( spl32_115
<=> sP1(sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_115])]) ).
fof(f464,plain,
( sP1(sz10)
| ~ spl32_9
| ~ spl32_25 ),
inference(resolution,[],[f457,f378]) ).
fof(f1107,plain,
spl32_114,
inference(avatar_split_clause,[],[f328,f1105]) ).
fof(f328,plain,
! [X2,X10,X0,X1,X9] :
( aElementOf0(sdtpldt0(X9,X10),X2)
| ~ aElementOf0(X10,X0)
| ~ aElementOf0(X9,X1)
| ~ sP5(X0,X1,X2) ),
inference(equality_resolution,[],[f281]) ).
fof(f281,plain,
! [X2,X10,X0,X1,X8,X9] :
( aElementOf0(X8,X2)
| sdtpldt0(X9,X10) != X8
| ~ aElementOf0(X10,X0)
| ~ aElementOf0(X9,X1)
| ~ sP5(X0,X1,X2) ),
inference(cnf_transformation,[],[f172]) ).
fof(f1103,plain,
spl32_113,
inference(avatar_split_clause,[],[f304,f1101]) ).
fof(f1101,plain,
( spl32_113
<=> ! [X0,X1] :
( sz00 = X1
| sz00 = X0
| sz00 != sdtasdt0(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_113])]) ).
fof(f304,plain,
! [X0,X1] :
( sz00 = X1
| sz00 = X0
| sz00 != sdtasdt0(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1] :
( sz00 = X1
| sz00 = X0
| sz00 != sdtasdt0(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f102]) ).
fof(f102,plain,
! [X0,X1] :
( sz00 = X1
| sz00 = X0
| sz00 != sdtasdt0(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> ( sz00 = sdtasdt0(X0,X1)
=> ( sz00 = X1
| sz00 = X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCancel) ).
fof(f1099,plain,
spl32_112,
inference(avatar_split_clause,[],[f293,f1097]) ).
fof(f1097,plain,
( spl32_112
<=> ! [X0,X3,X2,X1] :
( sdteqdtlpzmzozddtrp0(sK26(X0,X1,X2,X3),X3,X0)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_112])]) ).
fof(f293,plain,
! [X2,X3,X0,X1] :
( sdteqdtlpzmzozddtrp0(sK26(X0,X1,X2,X3),X3,X0)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f178]) ).
fof(f178,plain,
! [X0,X1] :
( ! [X2,X3] :
( ( sdteqdtlpzmzozddtrp0(sK26(X0,X1,X2,X3),X3,X0)
& sdteqdtlpzmzozddtrp0(sK26(X0,X1,X2,X3),X2,X1)
& aElement0(sK26(X0,X1,X2,X3)) )
| ~ aElement0(X3)
| ~ aElement0(X2) )
| ~ sP6(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK26])],[f176,f177]) ).
fof(f177,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( sdteqdtlpzmzozddtrp0(X4,X3,X0)
& sdteqdtlpzmzozddtrp0(X4,X2,X1)
& aElement0(X4) )
=> ( sdteqdtlpzmzozddtrp0(sK26(X0,X1,X2,X3),X3,X0)
& sdteqdtlpzmzozddtrp0(sK26(X0,X1,X2,X3),X2,X1)
& aElement0(sK26(X0,X1,X2,X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f176,plain,
! [X0,X1] :
( ! [X2,X3] :
( ? [X4] :
( sdteqdtlpzmzozddtrp0(X4,X3,X0)
& sdteqdtlpzmzozddtrp0(X4,X2,X1)
& aElement0(X4) )
| ~ aElement0(X3)
| ~ aElement0(X2) )
| ~ sP6(X0,X1) ),
inference(rectify,[],[f175]) ).
fof(f175,plain,
! [X1,X0] :
( ! [X3,X4] :
( ? [X5] :
( sdteqdtlpzmzozddtrp0(X5,X4,X1)
& sdteqdtlpzmzozddtrp0(X5,X3,X0)
& aElement0(X5) )
| ~ aElement0(X4)
| ~ aElement0(X3) )
| ~ sP6(X1,X0) ),
inference(nnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X1,X0] :
( ! [X3,X4] :
( ? [X5] :
( sdteqdtlpzmzozddtrp0(X5,X4,X1)
& sdteqdtlpzmzozddtrp0(X5,X3,X0)
& aElement0(X5) )
| ~ aElement0(X4)
| ~ aElement0(X3) )
| ~ sP6(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f1095,plain,
spl32_111,
inference(avatar_split_clause,[],[f292,f1093]) ).
fof(f1093,plain,
( spl32_111
<=> ! [X0,X3,X2,X1] :
( sdteqdtlpzmzozddtrp0(sK26(X0,X1,X2,X3),X2,X1)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_111])]) ).
fof(f292,plain,
! [X2,X3,X0,X1] :
( sdteqdtlpzmzozddtrp0(sK26(X0,X1,X2,X3),X2,X1)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f178]) ).
fof(f1091,plain,
spl32_110,
inference(avatar_split_clause,[],[f288,f1089]) ).
fof(f1089,plain,
( spl32_110
<=> ! [X2,X0,X1] :
( sdtpldt1(X0,X1) = X2
| ~ sP5(X1,X0,X2)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_110])]) ).
fof(f288,plain,
! [X2,X0,X1] :
( sdtpldt1(X0,X1) = X2
| ~ sP5(X1,X0,X2)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f174]) ).
fof(f174,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtpldt1(X0,X1) = X2
| ~ sP5(X1,X0,X2)
| ~ aSet0(X2) )
& ( ( sP5(X1,X0,X2)
& aSet0(X2) )
| sdtpldt1(X0,X1) != X2 ) )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f173]) ).
fof(f173,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtpldt1(X0,X1) = X2
| ~ sP5(X1,X0,X2)
| ~ aSet0(X2) )
& ( ( sP5(X1,X0,X2)
& aSet0(X2) )
| sdtpldt1(X0,X1) != X2 ) )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0,X1] :
( ! [X2] :
( sdtpldt1(X0,X1) = X2
<=> ( sP5(X1,X0,X2)
& aSet0(X2) ) )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(definition_folding,[],[f85,f126]) ).
fof(f85,plain,
! [X0,X1] :
( ! [X2] :
( sdtpldt1(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4,X5] :
( sdtpldt0(X4,X5) = X3
& aElementOf0(X5,X1)
& aElementOf0(X4,X0) ) )
& aSet0(X2) ) )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f84]) ).
fof(f84,plain,
! [X0,X1] :
( ! [X2] :
( sdtpldt1(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4,X5] :
( sdtpldt0(X4,X5) = X3
& aElementOf0(X5,X1)
& aElementOf0(X4,X0) ) )
& aSet0(X2) ) )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0,X1] :
( ( aSet0(X1)
& aSet0(X0) )
=> ! [X2] :
( sdtpldt1(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4,X5] :
( sdtpldt0(X4,X5) = X3
& aElementOf0(X5,X1)
& aElementOf0(X4,X0) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSSum) ).
fof(f1087,plain,
spl32_109,
inference(avatar_split_clause,[],[f258,f1085]) ).
fof(f258,plain,
! [X0,X1] :
( sP2(X0,X1)
| ~ aElementOf0(sdtasdt0(sK15(X0,X1),X1),X0)
| aElementOf0(sK16(X0,X1),X0) ),
inference(cnf_transformation,[],[f152]) ).
fof(f1079,plain,
( spl32_108
| ~ spl32_10
| ~ spl32_25 ),
inference(avatar_split_clause,[],[f463,f456,f381,f1076]) ).
fof(f1076,plain,
( spl32_108
<=> sP1(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_108])]) ).
fof(f463,plain,
( sP1(sz00)
| ~ spl32_10
| ~ spl32_25 ),
inference(resolution,[],[f457,f383]) ).
fof(f1070,plain,
spl32_107,
inference(avatar_split_clause,[],[f308,f1068]) ).
fof(f308,plain,
! [X0,X1] :
( sdtasdt0(X0,sK30(X0,X1)) = X1
| ~ doDivides0(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f187]) ).
fof(f187,plain,
! [X0,X1] :
( ( ( doDivides0(X0,X1)
| ! [X2] :
( sdtasdt0(X0,X2) != X1
| ~ aElement0(X2) ) )
& ( ( sdtasdt0(X0,sK30(X0,X1)) = X1
& aElement0(sK30(X0,X1)) )
| ~ doDivides0(X0,X1) ) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK30])],[f185,f186]) ).
fof(f186,plain,
! [X0,X1] :
( ? [X3] :
( sdtasdt0(X0,X3) = X1
& aElement0(X3) )
=> ( sdtasdt0(X0,sK30(X0,X1)) = X1
& aElement0(sK30(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f185,plain,
! [X0,X1] :
( ( ( doDivides0(X0,X1)
| ! [X2] :
( sdtasdt0(X0,X2) != X1
| ~ aElement0(X2) ) )
& ( ? [X3] :
( sdtasdt0(X0,X3) = X1
& aElement0(X3) )
| ~ doDivides0(X0,X1) ) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(rectify,[],[f184]) ).
fof(f184,plain,
! [X0,X1] :
( ( ( doDivides0(X0,X1)
| ! [X2] :
( sdtasdt0(X0,X2) != X1
| ~ aElement0(X2) ) )
& ( ? [X2] :
( sdtasdt0(X0,X2) = X1
& aElement0(X2) )
| ~ doDivides0(X0,X1) ) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(nnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( sdtasdt0(X0,X2) = X1
& aElement0(X2) ) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f106]) ).
fof(f106,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( sdtasdt0(X0,X2) = X1
& aElement0(X2) ) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> ( doDivides0(X0,X1)
<=> ? [X2] :
( sdtasdt0(X0,X2) = X1
& aElement0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiv) ).
fof(f1066,plain,
spl32_106,
inference(avatar_split_clause,[],[f295,f1064]) ).
fof(f295,plain,
! [X0,X1] :
( sP6(X1,X0)
| ~ aElementOf0(sK27(X0,X1),sdtpldt1(X0,X1))
| ~ aIdeal0(X1)
| ~ aIdeal0(X0) ),
inference(cnf_transformation,[],[f180]) ).
fof(f180,plain,
! [X0,X1] :
( sP6(X1,X0)
| ( ~ aElementOf0(sK27(X0,X1),sdtpldt1(X0,X1))
& aElement0(sK27(X0,X1)) )
| ~ aIdeal0(X1)
| ~ aIdeal0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK27])],[f129,f179]) ).
fof(f179,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,sdtpldt1(X0,X1))
& aElement0(X2) )
=> ( ~ aElementOf0(sK27(X0,X1),sdtpldt1(X0,X1))
& aElement0(sK27(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f129,plain,
! [X0,X1] :
( sP6(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,sdtpldt1(X0,X1))
& aElement0(X2) )
| ~ aIdeal0(X1)
| ~ aIdeal0(X0) ),
inference(definition_folding,[],[f91,f128]) ).
fof(f91,plain,
! [X0,X1] :
( ! [X3,X4] :
( ? [X5] :
( sdteqdtlpzmzozddtrp0(X5,X4,X1)
& sdteqdtlpzmzozddtrp0(X5,X3,X0)
& aElement0(X5) )
| ~ aElement0(X4)
| ~ aElement0(X3) )
| ? [X2] :
( ~ aElementOf0(X2,sdtpldt1(X0,X1))
& aElement0(X2) )
| ~ aIdeal0(X1)
| ~ aIdeal0(X0) ),
inference(flattening,[],[f90]) ).
fof(f90,plain,
! [X0,X1] :
( ! [X3,X4] :
( ? [X5] :
( sdteqdtlpzmzozddtrp0(X5,X4,X1)
& sdteqdtlpzmzozddtrp0(X5,X3,X0)
& aElement0(X5) )
| ~ aElement0(X4)
| ~ aElement0(X3) )
| ? [X2] :
( ~ aElementOf0(X2,sdtpldt1(X0,X1))
& aElement0(X2) )
| ~ aIdeal0(X1)
| ~ aIdeal0(X0) ),
inference(ennf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0,X1] :
( ( aIdeal0(X1)
& aIdeal0(X0) )
=> ( ! [X2] :
( aElement0(X2)
=> aElementOf0(X2,sdtpldt1(X0,X1)) )
=> ! [X3,X4] :
( ( aElement0(X4)
& aElement0(X3) )
=> ? [X5] :
( sdteqdtlpzmzozddtrp0(X5,X4,X1)
& sdteqdtlpzmzozddtrp0(X5,X3,X0)
& aElement0(X5) ) ) ) ),
inference(rectify,[],[f28]) ).
fof(f28,axiom,
! [X0,X1] :
( ( aIdeal0(X1)
& aIdeal0(X0) )
=> ( ! [X2] :
( aElement0(X2)
=> aElementOf0(X2,sdtpldt1(X0,X1)) )
=> ! [X2,X3] :
( ( aElement0(X3)
& aElement0(X2) )
=> ? [X4] :
( sdteqdtlpzmzozddtrp0(X4,X3,X1)
& sdteqdtlpzmzozddtrp0(X4,X2,X0)
& aElement0(X4) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mChineseRemainder) ).
fof(f1062,plain,
spl32_105,
inference(avatar_split_clause,[],[f257,f1060]) ).
fof(f1060,plain,
( spl32_105
<=> ! [X0,X1] :
( sP2(X0,X1)
| aElement0(sK15(X0,X1))
| ~ aElementOf0(sdtpldt0(X1,sK16(X0,X1)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_105])]) ).
fof(f257,plain,
! [X0,X1] :
( sP2(X0,X1)
| aElement0(sK15(X0,X1))
| ~ aElementOf0(sdtpldt0(X1,sK16(X0,X1)),X0) ),
inference(cnf_transformation,[],[f152]) ).
fof(f1058,plain,
spl32_104,
inference(avatar_split_clause,[],[f250,f1056]) ).
fof(f250,plain,
! [X0,X1] :
( sP0(X0,X1)
| aElement0(sK13(X0,X1))
| aElementOf0(sK12(X0,X1),X1)
| ~ aSet0(X1) ),
inference(cnf_transformation,[],[f146]) ).
fof(f1035,plain,
spl32_103,
inference(avatar_split_clause,[],[f331,f1033]) ).
fof(f331,plain,
! [X2,X0] :
( doDivides0(X0,sdtasdt0(X0,X2))
| ~ aElement0(X2)
| ~ aElement0(sdtasdt0(X0,X2))
| ~ aElement0(X0) ),
inference(equality_resolution,[],[f309]) ).
fof(f309,plain,
! [X2,X0,X1] :
( doDivides0(X0,X1)
| sdtasdt0(X0,X2) != X1
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f187]) ).
fof(f1031,plain,
spl32_102,
inference(avatar_split_clause,[],[f314,f1029]) ).
fof(f1029,plain,
( spl32_102
<=> ! [X2,X4,X0,X1] :
( doDivides0(X4,X0)
| ~ aDivisorOf0(X4,X1)
| ~ aDivisorOf0(X4,X2)
| ~ sP7(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_102])]) ).
fof(f314,plain,
! [X2,X0,X1,X4] :
( doDivides0(X4,X0)
| ~ aDivisorOf0(X4,X1)
| ~ aDivisorOf0(X4,X2)
| ~ sP7(X0,X1,X2) ),
inference(cnf_transformation,[],[f193]) ).
fof(f1027,plain,
spl32_101,
inference(avatar_split_clause,[],[f291,f1025]) ).
fof(f291,plain,
! [X2,X3,X0,X1] :
( aElement0(sK26(X0,X1,X2,X3))
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f178]) ).
fof(f1023,plain,
spl32_100,
inference(avatar_split_clause,[],[f279,f1021]) ).
fof(f279,plain,
! [X2,X0,X1,X8] :
( aElementOf0(sK25(X0,X1,X8),X0)
| ~ aElementOf0(X8,X2)
| ~ sP5(X0,X1,X2) ),
inference(cnf_transformation,[],[f172]) ).
fof(f1019,plain,
spl32_99,
inference(avatar_split_clause,[],[f278,f1017]) ).
fof(f278,plain,
! [X2,X0,X1,X8] :
( aElementOf0(sK24(X0,X1,X8),X1)
| ~ aElementOf0(X8,X2)
| ~ sP5(X0,X1,X2) ),
inference(cnf_transformation,[],[f172]) ).
fof(f1015,plain,
spl32_98,
inference(avatar_split_clause,[],[f273,f1013]) ).
fof(f273,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElementOf0(X4,X0)
| ~ aElementOf0(X4,X1)
| ~ sP3(X0,X1,X2) ),
inference(cnf_transformation,[],[f166]) ).
fof(f1011,plain,
spl32_97,
inference(avatar_split_clause,[],[f248,f1009]) ).
fof(f248,plain,
! [X0,X1,X5] :
( sdtasdt0(X0,sK14(X0,X5)) = X5
| ~ aElementOf0(X5,X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f146]) ).
fof(f1003,plain,
spl32_96,
inference(avatar_split_clause,[],[f269,f1001]) ).
fof(f1001,plain,
( spl32_96
<=> ! [X2,X0,X1] :
( sdtasasdt0(X0,X1) = X2
| ~ sP3(X1,X0,X2)
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_96])]) ).
fof(f269,plain,
! [X2,X0,X1] :
( sdtasasdt0(X0,X1) = X2
| ~ sP3(X1,X0,X2)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f161]) ).
fof(f161,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtasasdt0(X0,X1) = X2
| ~ sP3(X1,X0,X2) )
& ( sP3(X1,X0,X2)
| sdtasasdt0(X0,X1) != X2 ) )
| ~ sP4(X0,X1) ),
inference(nnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0,X1] :
( ! [X2] :
( sdtasasdt0(X0,X1) = X2
<=> sP3(X1,X0,X2) )
| ~ sP4(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f999,plain,
spl32_95,
inference(avatar_split_clause,[],[f256,f997]) ).
fof(f256,plain,
! [X0,X1] :
( sP2(X0,X1)
| aElement0(sK15(X0,X1))
| aElementOf0(sK16(X0,X1),X0) ),
inference(cnf_transformation,[],[f152]) ).
fof(f912,plain,
spl32_94,
inference(avatar_split_clause,[],[f311,f910]) ).
fof(f910,plain,
( spl32_94
<=> ! [X2,X0,X1] :
( aGcdOfAnd0(X2,X0,X1)
| ~ sP7(X2,X1,X0)
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_94])]) ).
fof(f311,plain,
! [X2,X0,X1] :
( aGcdOfAnd0(X2,X0,X1)
| ~ sP7(X2,X1,X0)
| ~ sP8(X0,X1) ),
inference(cnf_transformation,[],[f188]) ).
fof(f188,plain,
! [X0,X1] :
( ! [X2] :
( ( aGcdOfAnd0(X2,X0,X1)
| ~ sP7(X2,X1,X0) )
& ( sP7(X2,X1,X0)
| ~ aGcdOfAnd0(X2,X0,X1) ) )
| ~ sP8(X0,X1) ),
inference(nnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0,X1] :
( ! [X2] :
( aGcdOfAnd0(X2,X0,X1)
<=> sP7(X2,X1,X0) )
| ~ sP8(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f908,plain,
spl32_93,
inference(avatar_split_clause,[],[f310,f906]) ).
fof(f310,plain,
! [X2,X0,X1] :
( sP7(X2,X1,X0)
| ~ aGcdOfAnd0(X2,X0,X1)
| ~ sP8(X0,X1) ),
inference(cnf_transformation,[],[f188]) ).
fof(f904,plain,
spl32_92,
inference(avatar_split_clause,[],[f307,f902]) ).
fof(f307,plain,
! [X0,X1] :
( aElement0(sK30(X0,X1))
| ~ doDivides0(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f187]) ).
fof(f900,plain,
spl32_91,
inference(avatar_split_clause,[],[f306,f898]) ).
fof(f898,plain,
( spl32_91
<=> ! [X0,X1] :
( misRelativelyPrime0(X0,X1)
| ~ aGcdOfAnd0(sz10,X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_91])]) ).
fof(f306,plain,
! [X0,X1] :
( misRelativelyPrime0(X0,X1)
| ~ aGcdOfAnd0(sz10,X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f183]) ).
fof(f183,plain,
! [X0,X1] :
( ( ( misRelativelyPrime0(X0,X1)
| ~ aGcdOfAnd0(sz10,X0,X1) )
& ( aGcdOfAnd0(sz10,X0,X1)
| ~ misRelativelyPrime0(X0,X1) ) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(nnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1] :
( ( misRelativelyPrime0(X0,X1)
<=> aGcdOfAnd0(sz10,X0,X1) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f104]) ).
fof(f104,plain,
! [X0,X1] :
( ( misRelativelyPrime0(X0,X1)
<=> aGcdOfAnd0(sz10,X0,X1) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> ( misRelativelyPrime0(X0,X1)
<=> aGcdOfAnd0(sz10,X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefRel) ).
fof(f896,plain,
spl32_90,
inference(avatar_split_clause,[],[f305,f894]) ).
fof(f305,plain,
! [X0,X1] :
( aGcdOfAnd0(sz10,X0,X1)
| ~ misRelativelyPrime0(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f183]) ).
fof(f892,plain,
spl32_89,
inference(avatar_split_clause,[],[f303,f890]) ).
fof(f303,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f100]) ).
fof(f100,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).
fof(f888,plain,
spl32_88,
inference(avatar_split_clause,[],[f302,f886]) ).
fof(f302,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f98]) ).
fof(f98,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddComm) ).
fof(f884,plain,
spl32_87,
inference(avatar_split_clause,[],[f297,f882]) ).
fof(f297,plain,
! [X0,X1] :
( aElement0(sK29(X0,X1))
| sz00 = X1
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f182]) ).
fof(f880,plain,
spl32_86,
inference(avatar_split_clause,[],[f296,f878]) ).
fof(f296,plain,
! [X0,X1] :
( aElement0(sK28(X0,X1))
| sz00 = X1
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f182]) ).
fof(f876,plain,
spl32_85,
inference(avatar_split_clause,[],[f294,f874]) ).
fof(f294,plain,
! [X0,X1] :
( sP6(X1,X0)
| aElement0(sK27(X0,X1))
| ~ aIdeal0(X1)
| ~ aIdeal0(X0) ),
inference(cnf_transformation,[],[f180]) ).
fof(f872,plain,
spl32_84,
inference(avatar_split_clause,[],[f254,f870]) ).
fof(f254,plain,
! [X0,X1,X5] :
( aElementOf0(sdtpldt0(X1,X5),X0)
| ~ aElementOf0(X5,X0)
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f152]) ).
fof(f867,plain,
spl32_83,
inference(avatar_split_clause,[],[f213,f865]) ).
fof(f213,plain,
! [X0] :
( ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
| sz00 = X0
| ~ aElementOf0(X0,xI) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
( ! [X0] :
( ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
| sz00 = X0
| ~ aElementOf0(X0,xI) )
& sz00 != xu
& aElementOf0(xu,xI) ),
inference(flattening,[],[f66]) ).
fof(f66,plain,
( ! [X0] :
( ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
| sz00 = X0
| ~ aElementOf0(X0,xI) )
& sz00 != xu
& aElementOf0(xu,xI) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,axiom,
( ! [X0] :
( ( sz00 != X0
& aElementOf0(X0,xI) )
=> ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu)) )
& sz00 != xu
& aElementOf0(xu,xI) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2273) ).
fof(f854,plain,
spl32_82,
inference(avatar_split_clause,[],[f329,f852]) ).
fof(f329,plain,
! [X0,X1] :
( sP5(X1,X0,sdtpldt1(X0,X1))
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f287]) ).
fof(f287,plain,
! [X2,X0,X1] :
( sP5(X1,X0,X2)
| sdtpldt1(X0,X1) != X2
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f174]) ).
fof(f850,plain,
spl32_81,
inference(avatar_split_clause,[],[f326,f848]) ).
fof(f326,plain,
! [X0,X1,X6] :
( aElementOf0(sdtasdt0(X0,X6),X1)
| ~ aElement0(X6)
| ~ sP0(X0,X1) ),
inference(equality_resolution,[],[f249]) ).
fof(f249,plain,
! [X0,X1,X6,X5] :
( aElementOf0(X5,X1)
| sdtasdt0(X0,X6) != X5
| ~ aElement0(X6)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f146]) ).
fof(f846,plain,
spl32_80,
inference(avatar_split_clause,[],[f272,f844]) ).
fof(f272,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X0)
| ~ aElementOf0(X4,X2)
| ~ sP3(X0,X1,X2) ),
inference(cnf_transformation,[],[f166]) ).
fof(f842,plain,
spl32_79,
inference(avatar_split_clause,[],[f271,f840]) ).
fof(f271,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ sP3(X0,X1,X2) ),
inference(cnf_transformation,[],[f166]) ).
fof(f838,plain,
spl32_78,
inference(avatar_split_clause,[],[f255,f836]) ).
fof(f255,plain,
! [X0,X1,X4] :
( aElementOf0(sdtasdt0(X4,X1),X0)
| ~ aElement0(X4)
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f152]) ).
fof(f834,plain,
spl32_77,
inference(avatar_split_clause,[],[f247,f832]) ).
fof(f247,plain,
! [X0,X1,X5] :
( aElement0(sK14(X0,X5))
| ~ aElementOf0(X5,X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f146]) ).
fof(f830,plain,
spl32_76,
inference(avatar_split_clause,[],[f243,f828]) ).
fof(f243,plain,
! [X0,X1] :
( aDivisorOf0(X1,X0)
| ~ doDivides0(X1,X0)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f138,plain,
! [X0] :
( ! [X1] :
( ( aDivisorOf0(X1,X0)
| ~ doDivides0(X1,X0)
| ~ aElement0(X1) )
& ( ( doDivides0(X1,X0)
& aElement0(X1) )
| ~ aDivisorOf0(X1,X0) ) )
| ~ aElement0(X0) ),
inference(flattening,[],[f137]) ).
fof(f137,plain,
! [X0] :
( ! [X1] :
( ( aDivisorOf0(X1,X0)
| ~ doDivides0(X1,X0)
| ~ aElement0(X1) )
& ( ( doDivides0(X1,X0)
& aElement0(X1) )
| ~ aDivisorOf0(X1,X0) ) )
| ~ aElement0(X0) ),
inference(nnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0] :
( ! [X1] :
( aDivisorOf0(X1,X0)
<=> ( doDivides0(X1,X0)
& aElement0(X1) ) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0] :
( aElement0(X0)
=> ! [X1] :
( aDivisorOf0(X1,X0)
<=> ( doDivides0(X1,X0)
& aElement0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDvs) ).
fof(f801,plain,
spl32_75,
inference(avatar_split_clause,[],[f327,f799]) ).
fof(f327,plain,
! [X0,X1] :
( sP3(X1,X0,sdtasasdt0(X0,X1))
| ~ sP4(X0,X1) ),
inference(equality_resolution,[],[f268]) ).
fof(f268,plain,
! [X2,X0,X1] :
( sP3(X1,X0,X2)
| sdtasasdt0(X0,X1) != X2
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f161]) ).
fof(f797,plain,
spl32_74,
inference(avatar_split_clause,[],[f245,f795]) ).
fof(f795,plain,
( spl32_74
<=> ! [X0,X1] :
( slsdtgt0(X0) = X1
| ~ sP0(X0,X1)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_74])]) ).
fof(f245,plain,
! [X0,X1] :
( slsdtgt0(X0) = X1
| ~ sP0(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
! [X0] :
( ! [X1] :
( ( slsdtgt0(X0) = X1
| ~ sP0(X0,X1) )
& ( sP0(X0,X1)
| slsdtgt0(X0) != X1 ) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0] :
( ! [X1] :
( slsdtgt0(X0) = X1
<=> sP0(X0,X1) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f793,plain,
spl32_73,
inference(avatar_split_clause,[],[f240,f791]) ).
fof(f240,plain,
! [X0] :
( smndt0(X0) = sdtasdt0(X0,smndt0(sz10))
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0] :
( ( smndt0(X0) = sdtasdt0(X0,smndt0(sz10))
& smndt0(X0) = sdtasdt0(smndt0(sz10),X0) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( aElement0(X0)
=> ( smndt0(X0) = sdtasdt0(X0,smndt0(sz10))
& smndt0(X0) = sdtasdt0(smndt0(sz10),X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulMnOne) ).
fof(f789,plain,
spl32_72,
inference(avatar_split_clause,[],[f239,f787]) ).
fof(f239,plain,
! [X0] :
( smndt0(X0) = sdtasdt0(smndt0(sz10),X0)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f784,plain,
spl32_71,
inference(avatar_split_clause,[],[f224,f781]) ).
fof(f224,plain,
xu = sdtpldt0(sdtasdt0(xa,sK10),sdtasdt0(xb,sK11)),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
( xu = sdtpldt0(sdtasdt0(xa,sK10),sdtasdt0(xb,sK11))
& aElement0(sK11)
& aElement0(sK10) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11])],[f47,f135]) ).
fof(f135,plain,
( ? [X0,X1] :
( xu = sdtpldt0(sdtasdt0(xa,X0),sdtasdt0(xb,X1))
& aElement0(X1)
& aElement0(X0) )
=> ( xu = sdtpldt0(sdtasdt0(xa,sK10),sdtasdt0(xb,sK11))
& aElement0(sK11)
& aElement0(sK10) ) ),
introduced(choice_axiom,[]) ).
fof(f47,axiom,
? [X0,X1] :
( xu = sdtpldt0(sdtasdt0(xa,X0),sdtasdt0(xb,X1))
& aElement0(X1)
& aElement0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2416) ).
fof(f744,plain,
( spl32_70
| ~ spl32_2
| ~ spl32_26 ),
inference(avatar_split_clause,[],[f471,f460,f341,f741]) ).
fof(f471,plain,
( aSet0(xI)
| ~ spl32_2
| ~ spl32_26 ),
inference(resolution,[],[f461,f343]) ).
fof(f343,plain,
( aIdeal0(xI)
| ~ spl32_2 ),
inference(avatar_component_clause,[],[f341]) ).
fof(f721,plain,
spl32_69,
inference(avatar_split_clause,[],[f330,f719]) ).
fof(f719,plain,
( spl32_69
<=> ! [X0,X1] :
( aSet0(sdtpldt1(X0,X1))
| ~ aSet0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_69])]) ).
fof(f330,plain,
! [X0,X1] :
( aSet0(sdtpldt1(X0,X1))
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f286]) ).
fof(f286,plain,
! [X2,X0,X1] :
( aSet0(X2)
| sdtpldt1(X0,X1) != X2
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f174]) ).
fof(f717,plain,
spl32_68,
inference(avatar_split_clause,[],[f301,f715]) ).
fof(f301,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f96]) ).
fof(f96,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> aElement0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f713,plain,
spl32_67,
inference(avatar_split_clause,[],[f300,f711]) ).
fof(f300,plain,
! [X0,X1] :
( aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0,X1] :
( aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f94]) ).
fof(f94,plain,
! [X0,X1] :
( aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> aElement0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB) ).
fof(f709,plain,
spl32_66,
inference(avatar_split_clause,[],[f290,f707]) ).
fof(f290,plain,
! [X0,X1] :
( aIdeal0(sdtpldt1(X0,X1))
| ~ aIdeal0(X1)
| ~ aIdeal0(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0,X1] :
( aIdeal0(sdtpldt1(X0,X1))
| ~ aIdeal0(X1)
| ~ aIdeal0(X0) ),
inference(flattening,[],[f88]) ).
fof(f88,plain,
! [X0,X1] :
( aIdeal0(sdtpldt1(X0,X1))
| ~ aIdeal0(X1)
| ~ aIdeal0(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0,X1] :
( ( aIdeal0(X1)
& aIdeal0(X0) )
=> aIdeal0(sdtpldt1(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIdeSum) ).
fof(f705,plain,
spl32_65,
inference(avatar_split_clause,[],[f289,f703]) ).
fof(f289,plain,
! [X0,X1] :
( aIdeal0(sdtasasdt0(X0,X1))
| ~ aIdeal0(X1)
| ~ aIdeal0(X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0,X1] :
( aIdeal0(sdtasasdt0(X0,X1))
| ~ aIdeal0(X1)
| ~ aIdeal0(X0) ),
inference(flattening,[],[f86]) ).
fof(f86,plain,
! [X0,X1] :
( aIdeal0(sdtasasdt0(X0,X1))
| ~ aIdeal0(X1)
| ~ aIdeal0(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0,X1] :
( ( aIdeal0(X1)
& aIdeal0(X0) )
=> aIdeal0(sdtasasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIdeInt) ).
fof(f701,plain,
spl32_64,
inference(avatar_split_clause,[],[f263,f699]) ).
fof(f699,plain,
( spl32_64
<=> ! [X0] :
( aIdeal0(X0)
| ~ sP2(X0,sK17(X0))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_64])]) ).
fof(f263,plain,
! [X0] :
( aIdeal0(X0)
| ~ sP2(X0,sK17(X0))
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f157]) ).
fof(f157,plain,
! [X0] :
( ( aIdeal0(X0)
| ( ~ sP2(X0,sK17(X0))
& aElementOf0(sK17(X0),X0) )
| ~ aSet0(X0) )
& ( ( ! [X2] :
( sP2(X0,X2)
| ~ aElementOf0(X2,X0) )
& aSet0(X0) )
| ~ aIdeal0(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f155,f156]) ).
fof(f156,plain,
! [X0] :
( ? [X1] :
( ~ sP2(X0,X1)
& aElementOf0(X1,X0) )
=> ( ~ sP2(X0,sK17(X0))
& aElementOf0(sK17(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f155,plain,
! [X0] :
( ( aIdeal0(X0)
| ? [X1] :
( ~ sP2(X0,X1)
& aElementOf0(X1,X0) )
| ~ aSet0(X0) )
& ( ( ! [X2] :
( sP2(X0,X2)
| ~ aElementOf0(X2,X0) )
& aSet0(X0) )
| ~ aIdeal0(X0) ) ),
inference(rectify,[],[f154]) ).
fof(f154,plain,
! [X0] :
( ( aIdeal0(X0)
| ? [X1] :
( ~ sP2(X0,X1)
& aElementOf0(X1,X0) )
| ~ aSet0(X0) )
& ( ( ! [X1] :
( sP2(X0,X1)
| ~ aElementOf0(X1,X0) )
& aSet0(X0) )
| ~ aIdeal0(X0) ) ),
inference(flattening,[],[f153]) ).
fof(f153,plain,
! [X0] :
( ( aIdeal0(X0)
| ? [X1] :
( ~ sP2(X0,X1)
& aElementOf0(X1,X0) )
| ~ aSet0(X0) )
& ( ( ! [X1] :
( sP2(X0,X1)
| ~ aElementOf0(X1,X0) )
& aSet0(X0) )
| ~ aIdeal0(X0) ) ),
inference(nnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0] :
( aIdeal0(X0)
<=> ( ! [X1] :
( sP2(X0,X1)
| ~ aElementOf0(X1,X0) )
& aSet0(X0) ) ),
inference(definition_folding,[],[f79,f121]) ).
fof(f79,plain,
! [X0] :
( aIdeal0(X0)
<=> ( ! [X1] :
( ( ! [X2] :
( aElementOf0(sdtasdt0(X2,X1),X0)
| ~ aElement0(X2) )
& ! [X3] :
( aElementOf0(sdtpldt0(X1,X3),X0)
| ~ aElementOf0(X3,X0) ) )
| ~ aElementOf0(X1,X0) )
& aSet0(X0) ) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0] :
( aIdeal0(X0)
<=> ( ! [X1] :
( aElementOf0(X1,X0)
=> ( ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),X0) )
& ! [X3] :
( aElementOf0(X3,X0)
=> aElementOf0(sdtpldt0(X1,X3),X0) ) ) )
& aSet0(X0) ) ),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X0] :
( aIdeal0(X0)
<=> ( ! [X1] :
( aElementOf0(X1,X0)
=> ( ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),X0) )
& ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(sdtpldt0(X1,X2),X0) ) ) )
& aSet0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefIdeal) ).
fof(f697,plain,
spl32_63,
inference(avatar_split_clause,[],[f262,f695]) ).
fof(f262,plain,
! [X0] :
( aIdeal0(X0)
| aElementOf0(sK17(X0),X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f157]) ).
fof(f693,plain,
( spl32_62
| ~ spl32_8
| ~ spl32_25 ),
inference(avatar_split_clause,[],[f470,f456,f371,f690]) ).
fof(f690,plain,
( spl32_62
<=> sP1(sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_62])]) ).
fof(f470,plain,
( sP1(sK11)
| ~ spl32_8
| ~ spl32_25 ),
inference(resolution,[],[f457,f373]) ).
fof(f688,plain,
spl32_61,
inference(avatar_split_clause,[],[f261,f686]) ).
fof(f261,plain,
! [X2,X0] :
( sP2(X0,X2)
| ~ aElementOf0(X2,X0)
| ~ aIdeal0(X0) ),
inference(cnf_transformation,[],[f157]) ).
fof(f684,plain,
spl32_60,
inference(avatar_split_clause,[],[f242,f682]) ).
fof(f242,plain,
! [X0,X1] :
( doDivides0(X1,X0)
| ~ aDivisorOf0(X1,X0)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f680,plain,
spl32_59,
inference(avatar_split_clause,[],[f238,f678]) ).
fof(f238,plain,
! [X0] :
( sz00 = sdtpldt0(smndt0(X0),X0)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0] :
( ( sz00 = sdtpldt0(smndt0(X0),X0)
& sz00 = sdtpldt0(X0,smndt0(X0)) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( aElement0(X0)
=> ( sz00 = sdtpldt0(smndt0(X0),X0)
& sz00 = sdtpldt0(X0,smndt0(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddInvr) ).
fof(f676,plain,
spl32_58,
inference(avatar_split_clause,[],[f237,f674]) ).
fof(f237,plain,
! [X0] :
( sz00 = sdtpldt0(X0,smndt0(X0))
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f672,plain,
( spl32_11
| spl32_57 ),
inference(avatar_split_clause,[],[f208,f669,f386]) ).
fof(f669,plain,
( spl32_57
<=> iLess0(sbrdtbr0(xr),sbrdtbr0(xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_57])]) ).
fof(f208,plain,
( iLess0(sbrdtbr0(xr),sbrdtbr0(xu))
| sz00 = xr ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,axiom,
( ( iLess0(sbrdtbr0(xr),sbrdtbr0(xu))
| sz00 = xr )
& xb = sdtpldt0(sdtasdt0(xq,xu),xr)
& aElement0(xr)
& aElement0(xq) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2666) ).
fof(f667,plain,
spl32_56,
inference(avatar_split_clause,[],[f202,f664]) ).
fof(f202,plain,
xr = sdtpldt0(smndt0(sdtasdt0(xq,xu)),xb),
inference(cnf_transformation,[],[f54]) ).
fof(f54,axiom,
xr = sdtpldt0(smndt0(sdtasdt0(xq,xu)),xb),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2718) ).
fof(f662,plain,
( spl32_55
| ~ spl32_7
| ~ spl32_25 ),
inference(avatar_split_clause,[],[f469,f456,f366,f659]) ).
fof(f659,plain,
( spl32_55
<=> sP1(sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_55])]) ).
fof(f469,plain,
( sP1(sK10)
| ~ spl32_7
| ~ spl32_25 ),
inference(resolution,[],[f457,f368]) ).
fof(f595,plain,
( spl32_54
| ~ spl32_4
| ~ spl32_25 ),
inference(avatar_split_clause,[],[f468,f456,f351,f592]) ).
fof(f592,plain,
( spl32_54
<=> sP1(xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_54])]) ).
fof(f468,plain,
( sP1(xr)
| ~ spl32_4
| ~ spl32_25 ),
inference(resolution,[],[f457,f353]) ).
fof(f590,plain,
spl32_53,
inference(avatar_split_clause,[],[f318,f588]) ).
fof(f318,plain,
! [X0,X1] :
( sP8(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
! [X0,X1] :
( sP8(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(definition_folding,[],[f109,f131,f130]) ).
fof(f109,plain,
! [X0,X1] :
( ! [X2] :
( aGcdOfAnd0(X2,X0,X1)
<=> ( ! [X3] :
( doDivides0(X3,X2)
| ~ aDivisorOf0(X3,X1)
| ~ aDivisorOf0(X3,X0) )
& aDivisorOf0(X2,X1)
& aDivisorOf0(X2,X0) ) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f108]) ).
fof(f108,plain,
! [X0,X1] :
( ! [X2] :
( aGcdOfAnd0(X2,X0,X1)
<=> ( ! [X3] :
( doDivides0(X3,X2)
| ~ aDivisorOf0(X3,X1)
| ~ aDivisorOf0(X3,X0) )
& aDivisorOf0(X2,X1)
& aDivisorOf0(X2,X0) ) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> ! [X2] :
( aGcdOfAnd0(X2,X0,X1)
<=> ( ! [X3] :
( ( aDivisorOf0(X3,X1)
& aDivisorOf0(X3,X0) )
=> doDivides0(X3,X2) )
& aDivisorOf0(X2,X1)
& aDivisorOf0(X2,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefGCD) ).
fof(f586,plain,
spl32_52,
inference(avatar_split_clause,[],[f313,f584]) ).
fof(f313,plain,
! [X2,X0,X1] :
( aDivisorOf0(X0,X1)
| ~ sP7(X0,X1,X2) ),
inference(cnf_transformation,[],[f193]) ).
fof(f582,plain,
spl32_51,
inference(avatar_split_clause,[],[f312,f580]) ).
fof(f312,plain,
! [X2,X0,X1] :
( aDivisorOf0(X0,X2)
| ~ sP7(X0,X1,X2) ),
inference(cnf_transformation,[],[f193]) ).
fof(f578,plain,
spl32_50,
inference(avatar_split_clause,[],[f277,f576]) ).
fof(f576,plain,
( spl32_50
<=> ! [X0,X1] :
( sP4(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_50])]) ).
fof(f277,plain,
! [X0,X1] :
( sP4(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0,X1] :
( sP4(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(definition_folding,[],[f83,f124,f123]) ).
fof(f83,plain,
! [X0,X1] :
( ! [X2] :
( sdtasasdt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElementOf0(X3,X1)
& aElementOf0(X3,X0) ) )
& aSet0(X2) ) )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f82]) ).
fof(f82,plain,
! [X0,X1] :
( ! [X2] :
( sdtasasdt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElementOf0(X3,X1)
& aElementOf0(X3,X0) ) )
& aSet0(X2) ) )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0,X1] :
( ( aSet0(X1)
& aSet0(X0) )
=> ! [X2] :
( sdtasasdt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElementOf0(X3,X1)
& aElementOf0(X3,X0) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSInt) ).
fof(f574,plain,
spl32_49,
inference(avatar_split_clause,[],[f241,f572]) ).
fof(f241,plain,
! [X0,X1] :
( aElement0(X1)
| ~ aDivisorOf0(X1,X0)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f570,plain,
spl32_48,
inference(avatar_split_clause,[],[f236,f568]) ).
fof(f236,plain,
! [X0] :
( sdtasdt0(sz10,X0) = X0
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0] :
( ( sdtasdt0(sz10,X0) = X0
& sdtasdt0(X0,sz10) = X0 )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( aElement0(X0)
=> ( sdtasdt0(sz10,X0) = X0
& sdtasdt0(X0,sz10) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulUnit) ).
fof(f566,plain,
spl32_47,
inference(avatar_split_clause,[],[f235,f564]) ).
fof(f235,plain,
! [X0] :
( sdtasdt0(X0,sz10) = X0
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f562,plain,
spl32_46,
inference(avatar_split_clause,[],[f234,f560]) ).
fof(f234,plain,
! [X0] :
( sdtpldt0(sz00,X0) = X0
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0] :
( ( sdtpldt0(sz00,X0) = X0
& sdtpldt0(X0,sz00) = X0 )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( aElement0(X0)
=> ( sdtpldt0(sz00,X0) = X0
& sdtpldt0(X0,sz00) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddZero) ).
fof(f558,plain,
spl32_45,
inference(avatar_split_clause,[],[f233,f556]) ).
fof(f233,plain,
! [X0] :
( sdtpldt0(X0,sz00) = X0
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f554,plain,
spl32_44,
inference(avatar_split_clause,[],[f232,f552]) ).
fof(f232,plain,
! [X0] :
( sz00 = sdtasdt0(sz00,X0)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0] :
( ( sz00 = sdtasdt0(sz00,X0)
& sz00 = sdtasdt0(X0,sz00) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] :
( aElement0(X0)
=> ( sz00 = sdtasdt0(sz00,X0)
& sz00 = sdtasdt0(X0,sz00) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulZero) ).
fof(f550,plain,
( spl32_43
| ~ spl32_3
| ~ spl32_25 ),
inference(avatar_split_clause,[],[f467,f456,f346,f547]) ).
fof(f547,plain,
( spl32_43
<=> sP1(xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_43])]) ).
fof(f467,plain,
( sP1(xq)
| ~ spl32_3
| ~ spl32_25 ),
inference(resolution,[],[f457,f348]) ).
fof(f545,plain,
spl32_42,
inference(avatar_split_clause,[],[f231,f543]) ).
fof(f231,plain,
! [X0] :
( sz00 = sdtasdt0(X0,sz00)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f541,plain,
spl32_41,
inference(avatar_split_clause,[],[f228,f539]) ).
fof(f228,plain,
! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
fof(f537,plain,
spl32_40,
inference(avatar_split_clause,[],[f207,f534]) ).
fof(f207,plain,
xb = sdtpldt0(sdtasdt0(xq,xu),xr),
inference(cnf_transformation,[],[f50]) ).
fof(f532,plain,
spl32_39,
inference(avatar_split_clause,[],[f204,f529]) ).
fof(f204,plain,
xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)),
inference(cnf_transformation,[],[f42]) ).
fof(f42,axiom,
( xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))
& aIdeal0(xI) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2174) ).
fof(f526,plain,
spl32_38,
inference(avatar_split_clause,[],[f325,f524]) ).
fof(f325,plain,
! [X0] :
( sP0(X0,slsdtgt0(X0))
| ~ sP1(X0) ),
inference(equality_resolution,[],[f244]) ).
fof(f244,plain,
! [X0,X1] :
( sP0(X0,X1)
| slsdtgt0(X0) != X1
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f139]) ).
fof(f522,plain,
spl32_37,
inference(avatar_split_clause,[],[f270,f520]) ).
fof(f270,plain,
! [X2,X0,X1] :
( aSet0(X2)
| ~ sP3(X0,X1,X2) ),
inference(cnf_transformation,[],[f166]) ).
fof(f518,plain,
( spl32_36
| ~ spl32_6
| ~ spl32_25 ),
inference(avatar_split_clause,[],[f466,f456,f361,f515]) ).
fof(f466,plain,
( sP1(xb)
| ~ spl32_6
| ~ spl32_25 ),
inference(resolution,[],[f457,f363]) ).
fof(f513,plain,
( ~ spl32_34
| ~ spl32_35 ),
inference(avatar_split_clause,[],[f333,f510,f506]) ).
fof(f506,plain,
( spl32_34
<=> xa = xb ),
introduced(avatar_definition,[new_symbols(naming,[spl32_34])]) ).
fof(f333,plain,
( sz00 != xa
| xa != xb ),
inference(inner_rewriting,[],[f332]) ).
fof(f332,plain,
( sz00 != xb
| xa != xb ),
inference(inner_rewriting,[],[f218]) ).
fof(f218,plain,
( sz00 != xb
| sz00 != xa ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,axiom,
( sz00 != xb
| sz00 != xa ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2110) ).
fof(f504,plain,
( ~ spl32_32
| ~ spl32_33 ),
inference(avatar_split_clause,[],[f219,f501,f497]) ).
fof(f501,plain,
( spl32_33
<=> aDivisorOf0(xu,xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_33])]) ).
fof(f219,plain,
( ~ aDivisorOf0(xu,xb)
| ~ aDivisorOf0(xu,xa) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
( ~ aDivisorOf0(xu,xb)
| ~ aDivisorOf0(xu,xa) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,axiom,
~ ( aDivisorOf0(xu,xb)
& aDivisorOf0(xu,xa) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2383) ).
fof(f495,plain,
spl32_31,
inference(avatar_split_clause,[],[f201,f492]) ).
fof(f201,plain,
aElementOf0(smndt0(sdtasdt0(xq,xu)),xI),
inference(cnf_transformation,[],[f52]) ).
fof(f52,axiom,
aElementOf0(smndt0(sdtasdt0(xq,xu)),xI),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2690) ).
fof(f489,plain,
( spl32_30
| ~ spl32_5
| ~ spl32_25 ),
inference(avatar_split_clause,[],[f465,f456,f356,f486]) ).
fof(f465,plain,
( sP1(xa)
| ~ spl32_5
| ~ spl32_25 ),
inference(resolution,[],[f457,f358]) ).
fof(f483,plain,
spl32_29,
inference(avatar_split_clause,[],[f246,f481]) ).
fof(f246,plain,
! [X0,X1] :
( aSet0(X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f146]) ).
fof(f479,plain,
spl32_28,
inference(avatar_split_clause,[],[f230,f477]) ).
fof(f230,plain,
! [X0] :
( aElement0(smndt0(X0))
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0] :
( aElement0(smndt0(X0))
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( aElement0(X0)
=> aElement0(smndt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsU) ).
fof(f475,plain,
spl32_27,
inference(avatar_split_clause,[],[f229,f473]) ).
fof(f229,plain,
! [X0] :
( aIdeal0(slsdtgt0(X0))
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0] :
( aIdeal0(slsdtgt0(X0))
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0] :
( aElement0(X0)
=> aIdeal0(slsdtgt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mPrIdeal) ).
fof(f462,plain,
spl32_26,
inference(avatar_split_clause,[],[f260,f460]) ).
fof(f260,plain,
! [X0] :
( aSet0(X0)
| ~ aIdeal0(X0) ),
inference(cnf_transformation,[],[f157]) ).
fof(f458,plain,
spl32_25,
inference(avatar_split_clause,[],[f253,f456]) ).
fof(f253,plain,
! [X0] :
( sP1(X0)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0] :
( sP1(X0)
| ~ aElement0(X0) ),
inference(definition_folding,[],[f78,f119,f118]) ).
fof(f78,plain,
! [X0] :
( ! [X1] :
( slsdtgt0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) ) )
& aSet0(X1) ) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] :
( aElement0(X0)
=> ! [X1] :
( slsdtgt0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) ) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefPrIdeal) ).
fof(f454,plain,
spl32_24,
inference(avatar_split_clause,[],[f217,f451]) ).
fof(f217,plain,
aElementOf0(xb,slsdtgt0(xb)),
inference(cnf_transformation,[],[f43]) ).
fof(f43,axiom,
( aElementOf0(xb,slsdtgt0(xb))
& aElementOf0(sz00,slsdtgt0(xb))
& aElementOf0(xa,slsdtgt0(xa))
& aElementOf0(sz00,slsdtgt0(xa)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2203) ).
fof(f449,plain,
spl32_23,
inference(avatar_split_clause,[],[f216,f446]) ).
fof(f216,plain,
aElementOf0(sz00,slsdtgt0(xb)),
inference(cnf_transformation,[],[f43]) ).
fof(f444,plain,
spl32_22,
inference(avatar_split_clause,[],[f215,f441]) ).
fof(f215,plain,
aElementOf0(xa,slsdtgt0(xa)),
inference(cnf_transformation,[],[f43]) ).
fof(f439,plain,
spl32_21,
inference(avatar_split_clause,[],[f214,f436]) ).
fof(f214,plain,
aElementOf0(sz00,slsdtgt0(xa)),
inference(cnf_transformation,[],[f43]) ).
fof(f434,plain,
spl32_20,
inference(avatar_split_clause,[],[f200,f431]) ).
fof(f200,plain,
aGcdOfAnd0(xc,xa,xb),
inference(cnf_transformation,[],[f41]) ).
fof(f41,axiom,
aGcdOfAnd0(xc,xa,xb),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2129) ).
fof(f429,plain,
~ spl32_19,
inference(avatar_split_clause,[],[f227,f426]) ).
fof(f227,plain,
sz00 != sz10,
inference(cnf_transformation,[],[f18]) ).
fof(f18,axiom,
sz00 != sz10,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mUnNeZr) ).
fof(f424,plain,
spl32_18,
inference(avatar_split_clause,[],[f334,f421]) ).
fof(f334,plain,
aElementOf0(sK9,xI),
inference(forward_demodulation,[],[f220,f204]) ).
fof(f220,plain,
aElementOf0(sK9,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
( sz00 != sK9
& aElementOf0(sK9,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f44,f133]) ).
fof(f133,plain,
( ? [X0] :
( sz00 != X0
& aElementOf0(X0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))) )
=> ( sz00 != sK9
& aElementOf0(sK9,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))) ) ),
introduced(choice_axiom,[]) ).
fof(f44,axiom,
? [X0] :
( sz00 != X0
& aElementOf0(X0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2228) ).
fof(f419,plain,
~ spl32_17,
inference(avatar_split_clause,[],[f221,f416]) ).
fof(f416,plain,
( spl32_17
<=> sz00 = sK9 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_17])]) ).
fof(f221,plain,
sz00 != sK9,
inference(cnf_transformation,[],[f134]) ).
fof(f414,plain,
~ spl32_16,
inference(avatar_split_clause,[],[f212,f411]) ).
fof(f212,plain,
sz00 != xu,
inference(cnf_transformation,[],[f67]) ).
fof(f409,plain,
spl32_15,
inference(avatar_split_clause,[],[f211,f406]) ).
fof(f211,plain,
aElementOf0(xu,xI),
inference(cnf_transformation,[],[f67]) ).
fof(f404,plain,
spl32_14,
inference(avatar_split_clause,[],[f199,f401]) ).
fof(f199,plain,
aElementOf0(xb,xI),
inference(cnf_transformation,[],[f53]) ).
fof(f53,axiom,
aElementOf0(xb,xI),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2699) ).
fof(f399,plain,
spl32_13,
inference(avatar_split_clause,[],[f198,f396]) ).
fof(f198,plain,
doDivides0(xu,xa),
inference(cnf_transformation,[],[f48]) ).
fof(f48,axiom,
doDivides0(xu,xa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2479) ).
fof(f394,plain,
~ spl32_12,
inference(avatar_split_clause,[],[f197,f391]) ).
fof(f391,plain,
( spl32_12
<=> doDivides0(xu,xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_12])]) ).
fof(f197,plain,
~ doDivides0(xu,xb),
inference(cnf_transformation,[],[f49]) ).
fof(f49,axiom,
~ doDivides0(xu,xb),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2612) ).
fof(f389,plain,
~ spl32_11,
inference(avatar_split_clause,[],[f196,f386]) ).
fof(f196,plain,
sz00 != xr,
inference(cnf_transformation,[],[f51]) ).
fof(f51,axiom,
sz00 != xr,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2673) ).
fof(f384,plain,
spl32_10,
inference(avatar_split_clause,[],[f226,f381]) ).
fof(f226,plain,
aElement0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
aElement0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).
fof(f379,plain,
spl32_9,
inference(avatar_split_clause,[],[f225,f376]) ).
fof(f225,plain,
aElement0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
aElement0(sz10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC_01) ).
fof(f374,plain,
spl32_8,
inference(avatar_split_clause,[],[f223,f371]) ).
fof(f223,plain,
aElement0(sK11),
inference(cnf_transformation,[],[f136]) ).
fof(f369,plain,
spl32_7,
inference(avatar_split_clause,[],[f222,f366]) ).
fof(f222,plain,
aElement0(sK10),
inference(cnf_transformation,[],[f136]) ).
fof(f364,plain,
spl32_6,
inference(avatar_split_clause,[],[f210,f361]) ).
fof(f210,plain,
aElement0(xb),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
( aElement0(xb)
& aElement0(xa) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2091) ).
fof(f359,plain,
spl32_5,
inference(avatar_split_clause,[],[f209,f356]) ).
fof(f209,plain,
aElement0(xa),
inference(cnf_transformation,[],[f39]) ).
fof(f354,plain,
spl32_4,
inference(avatar_split_clause,[],[f206,f351]) ).
fof(f206,plain,
aElement0(xr),
inference(cnf_transformation,[],[f50]) ).
fof(f349,plain,
spl32_3,
inference(avatar_split_clause,[],[f205,f346]) ).
fof(f205,plain,
aElement0(xq),
inference(cnf_transformation,[],[f50]) ).
fof(f344,plain,
spl32_2,
inference(avatar_split_clause,[],[f203,f341]) ).
fof(f203,plain,
aIdeal0(xI),
inference(cnf_transformation,[],[f42]) ).
fof(f339,plain,
~ spl32_1,
inference(avatar_split_clause,[],[f195,f336]) ).
fof(f195,plain,
~ aElementOf0(xr,xI),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
~ aElementOf0(xr,xI),
inference(flattening,[],[f56]) ).
fof(f56,negated_conjecture,
~ aElementOf0(xr,xI),
inference(negated_conjecture,[],[f55]) ).
fof(f55,conjecture,
aElementOf0(xr,xI),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : RNG123+1 : TPTP v8.1.2. Released v4.0.0.
% 0.05/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.32 % Computer : n003.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 Apr 30 02:15:03 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % (3509)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.34 % (3512)WARNING: value z3 for option sas not known
% 0.11/0.34 % (3516)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.11/0.34 % (3511)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.11/0.34 % (3512)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.11/0.34 % (3513)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.11/0.34 % (3514)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.11/0.34 % (3510)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.11/0.34 % (3515)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.11/0.35 TRYING [1]
% 0.11/0.35 TRYING [2]
% 0.11/0.35 TRYING [1]
% 0.11/0.35 TRYING [2]
% 0.11/0.36 TRYING [3]
% 0.11/0.36 TRYING [3]
% 0.17/0.40 TRYING [4]
% 0.17/0.41 TRYING [4]
% 0.17/0.51 TRYING [1]
% 0.17/0.51 TRYING [2]
% 0.17/0.52 TRYING [3]
% 1.65/0.57 TRYING [5]
% 1.65/0.57 TRYING [4]
% 1.65/0.63 TRYING [5]
% 3.15/0.78 % (3514)First to succeed.
% 3.15/0.79 TRYING [5]
% 3.53/0.82 % (3514)Refutation found. Thanks to Tanya!
% 3.53/0.82 % SZS status Theorem for theBenchmark
% 3.53/0.82 % SZS output start Proof for theBenchmark
% See solution above
% 3.53/0.83 % (3514)------------------------------
% 3.53/0.83 % (3514)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 3.53/0.83 % (3514)Termination reason: Refutation
% 3.53/0.83
% 3.53/0.83 % (3514)Memory used [KB]: 9010
% 3.53/0.83 % (3514)Time elapsed: 0.476 s
% 3.53/0.83 % (3514)Instructions burned: 907 (million)
% 3.53/0.83 % (3514)------------------------------
% 3.53/0.83 % (3514)------------------------------
% 3.53/0.83 % (3509)Success in time 0.496 s
%------------------------------------------------------------------------------