TSTP Solution File: NUM454+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM454+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 : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 08:28:24 EDT 2024
% Result : Theorem 3.01s 0.78s
% Output : Refutation 3.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 660
% Syntax : Number of formulae : 2372 ( 158 unt; 0 def)
% Number of atoms : 9444 (1378 equ)
% Maximal formula atoms : 19 ( 3 avg)
% Number of connectives : 12702 (5630 ~;5956 |; 405 &)
% ( 651 <=>; 60 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 613 ( 611 usr; 590 prp; 0-3 aty)
% Number of functors : 30 ( 30 usr; 7 con; 0-3 aty)
% Number of variables : 2640 (2569 !; 71 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f14619,plain,
$false,
inference(avatar_sat_refutation,[],[f356,f361,f366,f371,f376,f381,f386,f391,f396,f401,f405,f409,f417,f422,f427,f432,f436,f440,f444,f449,f453,f457,f463,f468,f472,f476,f480,f484,f488,f493,f499,f503,f507,f511,f515,f519,f523,f527,f531,f568,f572,f576,f580,f584,f588,f592,f596,f600,f604,f608,f613,f617,f621,f658,f662,f666,f670,f674,f678,f682,f686,f690,f698,f703,f731,f749,f753,f758,f762,f766,f770,f774,f778,f782,f786,f790,f794,f798,f802,f806,f810,f815,f819,f823,f827,f838,f861,f865,f869,f873,f877,f881,f886,f890,f894,f898,f902,f906,f910,f914,f921,f948,f952,f956,f960,f964,f968,f981,f985,f989,f993,f997,f1001,f1008,f1012,f1016,f1020,f1024,f1028,f1039,f1043,f1049,f1053,f1057,f1061,f1068,f1072,f1100,f1104,f1111,f1115,f1119,f1123,f1154,f1158,f1168,f1172,f1180,f1195,f1202,f1206,f1210,f1230,f1242,f1249,f1253,f1258,f1263,f1268,f1273,f1278,f1283,f1288,f1292,f1339,f1348,f1353,f1358,f1369,f1374,f1379,f1384,f1389,f1394,f1425,f1430,f1435,f1449,f1454,f1460,f1471,f1476,f1482,f1487,f1492,f1496,f1515,f1519,f1523,f1527,f1531,f1535,f1540,f1545,f1570,f1667,f1671,f1699,f1703,f1707,f1711,f1715,f1719,f1724,f1728,f1732,f1736,f1740,f1746,f1872,f1876,f1880,f1884,f1888,f1900,f1905,f1909,f1913,f1977,f1982,f1986,f1990,f1994,f1998,f2002,f2006,f2010,f2014,f2018,f2022,f2032,f2036,f2151,f2155,f2159,f2163,f2167,f2172,f2176,f2180,f2266,f2275,f2279,f2283,f2287,f2291,f2295,f2299,f2303,f2307,f2311,f2315,f2319,f2323,f2327,f2331,f2485,f2490,f2494,f2498,f2502,f2506,f2510,f2514,f2518,f2522,f2526,f2530,f2535,f2539,f2543,f2547,f2617,f2799,f2803,f2819,f2835,f2839,f2843,f2847,f2851,f2855,f2859,f2863,f2867,f2886,f2890,f3014,f3056,f3060,f3064,f3068,f3072,f3076,f3080,f3085,f3089,f3093,f3097,f3101,f3380,f3384,f3412,f3422,f3426,f3430,f3434,f3438,f3442,f3446,f3450,f3454,f3458,f3462,f3466,f3660,f3664,f3668,f3753,f3758,f3762,f3766,f3770,f3837,f3841,f3874,f3888,f3892,f3896,f3914,f3919,f3923,f3927,f3931,f3971,f3975,f3979,f3985,f4098,f4102,f4124,f4133,f4137,f4181,f4185,f4207,f4248,f4290,f4299,f4322,f4326,f4482,f4483,f4501,f4505,f4549,f4573,f4577,f4745,f4750,f4777,f4782,f4787,f4812,f4877,f4883,f4889,f4895,f4901,f4908,f4914,f4922,f5032,f5036,f5040,f5044,f5049,f5054,f5059,f5064,f5069,f5073,f5077,f5081,f5085,f5089,f5093,f5097,f5101,f5118,f5515,f5539,f5626,f5663,f5747,f5811,f5816,f5822,f5828,f5833,f5837,f5841,f5845,f5849,f5853,f5874,f5982,f5986,f5990,f5994,f5998,f6002,f6006,f6010,f6014,f6018,f6022,f6026,f6030,f6035,f6039,f6043,f6047,f6051,f6055,f6280,f6335,f6339,f6343,f6347,f6351,f6355,f6359,f6365,f6369,f6373,f6377,f6381,f6386,f6391,f6395,f6399,f6403,f6409,f6413,f6417,f6421,f6425,f6429,f6433,f6437,f6441,f6445,f6450,f6454,f6458,f6462,f6466,f6470,f6474,f6478,f6482,f6486,f6490,f6495,f7270,f7397,f7422,f7427,f7431,f7435,f7439,f7510,f7550,f7555,f7559,f7563,f7567,f7571,f7575,f7584,f7588,f7592,f7602,f7606,f7610,f7614,f7618,f7622,f7626,f7630,f7634,f7638,f7648,f7652,f7656,f7660,f7664,f7668,f7672,f8369,f8647,f8651,f8655,f8659,f8663,f8667,f8671,f8675,f8676,f8680,f8684,f8688,f8692,f8696,f8700,f9392,f9397,f9499,f9504,f9509,f9513,f9517,f9521,f9525,f9529,f9533,f9537,f9543,f9595,f9748,f10095,f10312,f10556,f10562,f10670,f10682,f10697,f10726,f11242,f11435,f11437,f11484,f11507,f11656,f11661,f11666,f11671,f11677,f11724,f11796,f11800,f11804,f11808,f11812,f11816,f11821,f11826,f11830,f11835,f11839,f11843,f11847,f11851,f11855,f11859,f11863,f11867,f11872,f11933,f11937,f11941,f11945,f11949,f11953,f11957,f11961,f11965,f11969,f11974,f13689,f14430,f14434,f14445,f14451,f14480,f14484,f14526,f14559,f14570,f14601,f14605,f14609,f14613,f14617,f14618]) ).
fof(f14618,plain,
( ~ spl27_4
| spl27_9
| ~ spl27_116
| ~ spl27_574 ),
inference(avatar_split_clause,[],[f13356,f11971,f1014,f393,f368]) ).
fof(f368,plain,
( spl27_4
<=> aInteger0(xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_4])]) ).
fof(f393,plain,
( spl27_9
<=> sz00 = xp ),
introduced(avatar_definition,[new_symbols(naming,[spl27_9])]) ).
fof(f1014,plain,
( spl27_116
<=> ! [X0,X1] :
( sz00 = X1
| sz00 = X0
| sz00 != sdtasdt0(X0,X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_116])]) ).
fof(f11971,plain,
( spl27_574
<=> sz00 = sdtasdt0(xp,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_574])]) ).
fof(f13356,plain,
( sz00 = xp
| ~ aInteger0(xp)
| ~ spl27_116
| ~ spl27_574 ),
inference(trivial_inequality_removal,[],[f13355]) ).
fof(f13355,plain,
( sz00 != sz00
| sz00 = xp
| ~ aInteger0(xp)
| ~ spl27_116
| ~ spl27_574 ),
inference(duplicate_literal_removal,[],[f13338]) ).
fof(f13338,plain,
( sz00 != sz00
| sz00 = xp
| sz00 = xp
| ~ aInteger0(xp)
| ~ aInteger0(xp)
| ~ spl27_116
| ~ spl27_574 ),
inference(superposition,[],[f1015,f11973]) ).
fof(f11973,plain,
( sz00 = sdtasdt0(xp,xp)
| ~ spl27_574 ),
inference(avatar_component_clause,[],[f11971]) ).
fof(f1015,plain,
( ! [X0,X1] :
( sz00 != sdtasdt0(X0,X1)
| sz00 = X0
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl27_116 ),
inference(avatar_component_clause,[],[f1014]) ).
fof(f14617,plain,
( spl27_589
| ~ spl27_38
| ~ spl27_194 ),
inference(avatar_split_clause,[],[f1774,f1709,f525,f14615]) ).
fof(f14615,plain,
( spl27_589
<=> ! [X0,X1] :
( smndt0(sK14(X0,X1)) = sdtpldt0(smndt0(sK14(X0,X1)),sz00)
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_589])]) ).
fof(f525,plain,
( spl27_38
<=> ! [X0,X1] :
( aInteger0(sK14(X0,X1))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_38])]) ).
fof(f1709,plain,
( spl27_194
<=> ! [X0] :
( smndt0(X0) = sdtpldt0(smndt0(X0),sz00)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_194])]) ).
fof(f1774,plain,
( ! [X0,X1] :
( smndt0(sK14(X0,X1)) = sdtpldt0(smndt0(sK14(X0,X1)),sz00)
| ~ sP0(X0,X1) )
| ~ spl27_38
| ~ spl27_194 ),
inference(resolution,[],[f1710,f526]) ).
fof(f526,plain,
( ! [X0,X1] :
( aInteger0(sK14(X0,X1))
| ~ sP0(X0,X1) )
| ~ spl27_38 ),
inference(avatar_component_clause,[],[f525]) ).
fof(f1710,plain,
( ! [X0] :
( ~ aInteger0(X0)
| smndt0(X0) = sdtpldt0(smndt0(X0),sz00) )
| ~ spl27_194 ),
inference(avatar_component_clause,[],[f1709]) ).
fof(f14613,plain,
( spl27_588
| ~ spl27_38
| ~ spl27_193 ),
inference(avatar_split_clause,[],[f1764,f1705,f525,f14611]) ).
fof(f14611,plain,
( spl27_588
<=> ! [X0,X1] :
( smndt0(sK14(X0,X1)) = sdtasdt0(sz10,smndt0(sK14(X0,X1)))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_588])]) ).
fof(f1705,plain,
( spl27_193
<=> ! [X0] :
( smndt0(X0) = sdtasdt0(sz10,smndt0(X0))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_193])]) ).
fof(f1764,plain,
( ! [X0,X1] :
( smndt0(sK14(X0,X1)) = sdtasdt0(sz10,smndt0(sK14(X0,X1)))
| ~ sP0(X0,X1) )
| ~ spl27_38
| ~ spl27_193 ),
inference(resolution,[],[f1706,f526]) ).
fof(f1706,plain,
( ! [X0] :
( ~ aInteger0(X0)
| smndt0(X0) = sdtasdt0(sz10,smndt0(X0)) )
| ~ spl27_193 ),
inference(avatar_component_clause,[],[f1705]) ).
fof(f14609,plain,
( spl27_587
| ~ spl27_38
| ~ spl27_192 ),
inference(avatar_split_clause,[],[f1754,f1701,f525,f14607]) ).
fof(f14607,plain,
( spl27_587
<=> ! [X0,X1] :
( smndt0(sK14(X0,X1)) = sdtasdt0(smndt0(sK14(X0,X1)),sz10)
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_587])]) ).
fof(f1701,plain,
( spl27_192
<=> ! [X0] :
( smndt0(X0) = sdtasdt0(smndt0(X0),sz10)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_192])]) ).
fof(f1754,plain,
( ! [X0,X1] :
( smndt0(sK14(X0,X1)) = sdtasdt0(smndt0(sK14(X0,X1)),sz10)
| ~ sP0(X0,X1) )
| ~ spl27_38
| ~ spl27_192 ),
inference(resolution,[],[f1702,f526]) ).
fof(f1702,plain,
( ! [X0] :
( ~ aInteger0(X0)
| smndt0(X0) = sdtasdt0(smndt0(X0),sz10) )
| ~ spl27_192 ),
inference(avatar_component_clause,[],[f1701]) ).
fof(f14605,plain,
( spl27_586
| ~ spl27_109
| ~ spl27_183 ),
inference(avatar_split_clause,[],[f1621,f1525,f983,f14603]) ).
fof(f14603,plain,
( spl27_586
<=> ! [X0,X1] :
( aInteger0(sK17(X0,sbsmnsldt0(X1)))
| ~ sP7(X1)
| sP4(X0,sbsmnsldt0(X1))
| ~ aSet0(sbsmnsldt0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_586])]) ).
fof(f983,plain,
( spl27_109
<=> ! [X0,X1] :
( sP4(X0,X1)
| aInteger0(sK17(X0,X1))
| aElementOf0(sK17(X0,X1),X1)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_109])]) ).
fof(f1525,plain,
( spl27_183
<=> ! [X0,X1] :
( ~ aElementOf0(X0,sbsmnsldt0(X1))
| aInteger0(X0)
| ~ sP7(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_183])]) ).
fof(f1621,plain,
( ! [X0,X1] :
( aInteger0(sK17(X0,sbsmnsldt0(X1)))
| ~ sP7(X1)
| sP4(X0,sbsmnsldt0(X1))
| ~ aSet0(sbsmnsldt0(X1)) )
| ~ spl27_109
| ~ spl27_183 ),
inference(duplicate_literal_removal,[],[f1599]) ).
fof(f1599,plain,
( ! [X0,X1] :
( aInteger0(sK17(X0,sbsmnsldt0(X1)))
| ~ sP7(X1)
| aInteger0(sK17(X0,sbsmnsldt0(X1)))
| sP4(X0,sbsmnsldt0(X1))
| ~ aSet0(sbsmnsldt0(X1)) )
| ~ spl27_109
| ~ spl27_183 ),
inference(resolution,[],[f1526,f984]) ).
fof(f984,plain,
( ! [X0,X1] :
( aElementOf0(sK17(X0,X1),X1)
| aInteger0(sK17(X0,X1))
| sP4(X0,X1)
| ~ aSet0(X1) )
| ~ spl27_109 ),
inference(avatar_component_clause,[],[f983]) ).
fof(f1526,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,sbsmnsldt0(X1))
| aInteger0(X0)
| ~ sP7(X1) )
| ~ spl27_183 ),
inference(avatar_component_clause,[],[f1525]) ).
fof(f14601,plain,
( spl27_585
| ~ spl27_109
| ~ spl27_182 ),
inference(avatar_split_clause,[],[f1596,f1521,f983,f14599]) ).
fof(f14599,plain,
( spl27_585
<=> ! [X0,X1] :
( aInteger0(sK17(X0,stldt0(X1)))
| ~ sP5(X1)
| sP4(X0,stldt0(X1))
| ~ aSet0(stldt0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_585])]) ).
fof(f1521,plain,
( spl27_182
<=> ! [X0,X1] :
( ~ aElementOf0(X0,stldt0(X1))
| aInteger0(X0)
| ~ sP5(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_182])]) ).
fof(f1596,plain,
( ! [X0,X1] :
( aInteger0(sK17(X0,stldt0(X1)))
| ~ sP5(X1)
| sP4(X0,stldt0(X1))
| ~ aSet0(stldt0(X1)) )
| ~ spl27_109
| ~ spl27_182 ),
inference(duplicate_literal_removal,[],[f1573]) ).
fof(f1573,plain,
( ! [X0,X1] :
( aInteger0(sK17(X0,stldt0(X1)))
| ~ sP5(X1)
| aInteger0(sK17(X0,stldt0(X1)))
| sP4(X0,stldt0(X1))
| ~ aSet0(stldt0(X1)) )
| ~ spl27_109
| ~ spl27_182 ),
inference(resolution,[],[f1522,f984]) ).
fof(f1522,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,stldt0(X1))
| aInteger0(X0)
| ~ sP5(X1) )
| ~ spl27_182 ),
inference(avatar_component_clause,[],[f1521]) ).
fof(f14570,plain,
( ~ spl27_63
| spl27_478
| ~ spl27_7
| spl27_584
| ~ spl27_98
| ~ spl27_174 ),
inference(avatar_split_clause,[],[f1500,f1468,f904,f14567,f383,f7577,f692]) ).
fof(f692,plain,
( spl27_63
<=> aInteger0(smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_63])]) ).
fof(f7577,plain,
( spl27_478
<=> sz00 = smndt0(sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_478])]) ).
fof(f383,plain,
( spl27_7
<=> aInteger0(sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_7])]) ).
fof(f14567,plain,
( spl27_584
<=> sP0(smndt0(sz10),smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_584])]) ).
fof(f904,plain,
( spl27_98
<=> ! [X2,X1] :
( sP0(sdtasdt0(X1,X2),X1)
| ~ aInteger0(X2)
| sz00 = X1
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_98])]) ).
fof(f1468,plain,
( spl27_174
<=> smndt0(sz10) = sdtasdt0(smndt0(sz10),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_174])]) ).
fof(f1500,plain,
( sP0(smndt0(sz10),smndt0(sz10))
| ~ aInteger0(sz10)
| sz00 = smndt0(sz10)
| ~ aInteger0(smndt0(sz10))
| ~ spl27_98
| ~ spl27_174 ),
inference(superposition,[],[f905,f1470]) ).
fof(f1470,plain,
( smndt0(sz10) = sdtasdt0(smndt0(sz10),sz10)
| ~ spl27_174 ),
inference(avatar_component_clause,[],[f1468]) ).
fof(f905,plain,
( ! [X2,X1] :
( sP0(sdtasdt0(X1,X2),X1)
| ~ aInteger0(X2)
| sz00 = X1
| ~ aInteger0(X1) )
| ~ spl27_98 ),
inference(avatar_component_clause,[],[f904]) ).
fof(f14559,plain,
( ~ spl27_7
| spl27_583
| ~ spl27_130
| ~ spl27_162 ),
inference(avatar_split_clause,[],[f1403,f1371,f1109,f14557,f383]) ).
fof(f14557,plain,
( spl27_583
<=> ! [X0] :
( aDivisorOf0(X0,sz00)
| ~ aInteger0(X0)
| sz00 = X0
| ~ sdteqdtlpzmzozddtrp0(sz10,sz10,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_583])]) ).
fof(f1109,plain,
( spl27_130
<=> ! [X2,X0,X1] :
( aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1)))
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_130])]) ).
fof(f1371,plain,
( spl27_162
<=> sz00 = sdtpldt0(sz10,smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_162])]) ).
fof(f1403,plain,
( ! [X0] :
( aDivisorOf0(X0,sz00)
| ~ sdteqdtlpzmzozddtrp0(sz10,sz10,X0)
| sz00 = X0
| ~ aInteger0(X0)
| ~ aInteger0(sz10) )
| ~ spl27_130
| ~ spl27_162 ),
inference(duplicate_literal_removal,[],[f1401]) ).
fof(f1401,plain,
( ! [X0] :
( aDivisorOf0(X0,sz00)
| ~ sdteqdtlpzmzozddtrp0(sz10,sz10,X0)
| sz00 = X0
| ~ aInteger0(X0)
| ~ aInteger0(sz10)
| ~ aInteger0(sz10) )
| ~ spl27_130
| ~ spl27_162 ),
inference(superposition,[],[f1110,f1373]) ).
fof(f1373,plain,
( sz00 = sdtpldt0(sz10,smndt0(sz10))
| ~ spl27_162 ),
inference(avatar_component_clause,[],[f1371]) ).
fof(f1110,plain,
( ! [X2,X0,X1] :
( aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1)))
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl27_130 ),
inference(avatar_component_clause,[],[f1109]) ).
fof(f14526,plain,
( ~ spl27_8
| spl27_582
| ~ spl27_130
| ~ spl27_161 ),
inference(avatar_split_clause,[],[f1398,f1366,f1109,f14524,f388]) ).
fof(f388,plain,
( spl27_8
<=> aInteger0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_8])]) ).
fof(f14524,plain,
( spl27_582
<=> ! [X0] :
( aDivisorOf0(X0,sz00)
| ~ aInteger0(X0)
| sz00 = X0
| ~ sdteqdtlpzmzozddtrp0(sz00,sz00,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_582])]) ).
fof(f1366,plain,
( spl27_161
<=> sz00 = sdtpldt0(sz00,smndt0(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_161])]) ).
fof(f1398,plain,
( ! [X0] :
( aDivisorOf0(X0,sz00)
| ~ sdteqdtlpzmzozddtrp0(sz00,sz00,X0)
| sz00 = X0
| ~ aInteger0(X0)
| ~ aInteger0(sz00) )
| ~ spl27_130
| ~ spl27_161 ),
inference(duplicate_literal_removal,[],[f1396]) ).
fof(f1396,plain,
( ! [X0] :
( aDivisorOf0(X0,sz00)
| ~ sdteqdtlpzmzozddtrp0(sz00,sz00,X0)
| sz00 = X0
| ~ aInteger0(X0)
| ~ aInteger0(sz00)
| ~ aInteger0(sz00) )
| ~ spl27_130
| ~ spl27_161 ),
inference(superposition,[],[f1110,f1368]) ).
fof(f1368,plain,
( sz00 = sdtpldt0(sz00,smndt0(sz00))
| ~ spl27_161 ),
inference(avatar_component_clause,[],[f1366]) ).
fof(f14484,plain,
( spl27_581
| ~ spl27_38
| ~ spl27_190 ),
inference(avatar_split_clause,[],[f1690,f1669,f525,f14482]) ).
fof(f14482,plain,
( spl27_581
<=> ! [X0,X1] :
( sdtasdt0(sK14(X0,X1),xp) = sdtasdt0(xp,sK14(X0,X1))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_581])]) ).
fof(f1669,plain,
( spl27_190
<=> ! [X0] :
( sdtasdt0(X0,xp) = sdtasdt0(xp,X0)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_190])]) ).
fof(f1690,plain,
( ! [X0,X1] :
( sdtasdt0(sK14(X0,X1),xp) = sdtasdt0(xp,sK14(X0,X1))
| ~ sP0(X0,X1) )
| ~ spl27_38
| ~ spl27_190 ),
inference(resolution,[],[f1670,f526]) ).
fof(f1670,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,xp) = sdtasdt0(xp,X0) )
| ~ spl27_190 ),
inference(avatar_component_clause,[],[f1669]) ).
fof(f14480,plain,
( spl27_580
| ~ spl27_38
| ~ spl27_189 ),
inference(avatar_split_clause,[],[f1679,f1665,f525,f14478]) ).
fof(f14478,plain,
( spl27_580
<=> ! [X0,X1] :
( sdtpldt0(sK14(X0,X1),xp) = sdtpldt0(xp,sK14(X0,X1))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_580])]) ).
fof(f1665,plain,
( spl27_189
<=> ! [X0] :
( sdtpldt0(X0,xp) = sdtpldt0(xp,X0)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_189])]) ).
fof(f1679,plain,
( ! [X0,X1] :
( sdtpldt0(sK14(X0,X1),xp) = sdtpldt0(xp,sK14(X0,X1))
| ~ sP0(X0,X1) )
| ~ spl27_38
| ~ spl27_189 ),
inference(resolution,[],[f1666,f526]) ).
fof(f1666,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,xp) = sdtpldt0(xp,X0) )
| ~ spl27_189 ),
inference(avatar_component_clause,[],[f1665]) ).
fof(f14451,plain,
( spl27_579
| ~ spl27_575
| ~ spl27_578 ),
inference(avatar_split_clause,[],[f14446,f14442,f13686,f14448]) ).
fof(f14448,plain,
( spl27_579
<=> sP0(xp,smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_579])]) ).
fof(f13686,plain,
( spl27_575
<=> xp = smndt0(xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_575])]) ).
fof(f14442,plain,
( spl27_578
<=> sP0(smndt0(xp),smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_578])]) ).
fof(f14446,plain,
( sP0(xp,smndt0(sz10))
| ~ spl27_575
| ~ spl27_578 ),
inference(forward_demodulation,[],[f14444,f13688]) ).
fof(f13688,plain,
( xp = smndt0(xp)
| ~ spl27_575 ),
inference(avatar_component_clause,[],[f13686]) ).
fof(f14444,plain,
( sP0(smndt0(xp),smndt0(sz10))
| ~ spl27_578 ),
inference(avatar_component_clause,[],[f14442]) ).
fof(f14445,plain,
( ~ spl27_63
| spl27_478
| ~ spl27_4
| spl27_578
| ~ spl27_98
| ~ spl27_169 ),
inference(avatar_split_clause,[],[f1439,f1427,f904,f14442,f368,f7577,f692]) ).
fof(f1427,plain,
( spl27_169
<=> smndt0(xp) = sdtasdt0(smndt0(sz10),xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_169])]) ).
fof(f1439,plain,
( sP0(smndt0(xp),smndt0(sz10))
| ~ aInteger0(xp)
| sz00 = smndt0(sz10)
| ~ aInteger0(smndt0(sz10))
| ~ spl27_98
| ~ spl27_169 ),
inference(superposition,[],[f905,f1429]) ).
fof(f1429,plain,
( smndt0(xp) = sdtasdt0(smndt0(sz10),xp)
| ~ spl27_169 ),
inference(avatar_component_clause,[],[f1427]) ).
fof(f14434,plain,
( ~ spl27_4
| spl27_577
| ~ spl27_130
| ~ spl27_159 ),
inference(avatar_split_clause,[],[f1362,f1350,f1109,f14432,f368]) ).
fof(f14432,plain,
( spl27_577
<=> ! [X0] :
( aDivisorOf0(X0,sz00)
| ~ aInteger0(X0)
| sz00 = X0
| ~ sdteqdtlpzmzozddtrp0(xp,xp,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_577])]) ).
fof(f1350,plain,
( spl27_159
<=> sz00 = sdtpldt0(xp,smndt0(xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_159])]) ).
fof(f1362,plain,
( ! [X0] :
( aDivisorOf0(X0,sz00)
| ~ sdteqdtlpzmzozddtrp0(xp,xp,X0)
| sz00 = X0
| ~ aInteger0(X0)
| ~ aInteger0(xp) )
| ~ spl27_130
| ~ spl27_159 ),
inference(duplicate_literal_removal,[],[f1360]) ).
fof(f1360,plain,
( ! [X0] :
( aDivisorOf0(X0,sz00)
| ~ sdteqdtlpzmzozddtrp0(xp,xp,X0)
| sz00 = X0
| ~ aInteger0(X0)
| ~ aInteger0(xp)
| ~ aInteger0(xp) )
| ~ spl27_130
| ~ spl27_159 ),
inference(superposition,[],[f1110,f1352]) ).
fof(f1352,plain,
( sz00 = sdtpldt0(xp,smndt0(xp))
| ~ spl27_159 ),
inference(avatar_component_clause,[],[f1350]) ).
fof(f14430,plain,
( spl27_576
| ~ spl27_464
| ~ spl27_575 ),
inference(avatar_split_clause,[],[f14052,f13686,f7394,f14427]) ).
fof(f14427,plain,
( spl27_576
<=> sP0(xp,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_576])]) ).
fof(f7394,plain,
( spl27_464
<=> sP0(smndt0(xp),xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_464])]) ).
fof(f14052,plain,
( sP0(xp,xp)
| ~ spl27_464
| ~ spl27_575 ),
inference(superposition,[],[f7396,f13688]) ).
fof(f7396,plain,
( sP0(smndt0(xp),xp)
| ~ spl27_464 ),
inference(avatar_component_clause,[],[f7394]) ).
fof(f13689,plain,
( spl27_575
| ~ spl27_108
| ~ spl27_417
| ~ spl27_574 ),
inference(avatar_split_clause,[],[f13359,f11971,f6032,f978,f13686]) ).
fof(f978,plain,
( spl27_108
<=> xp = sdtpldt0(sz00,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_108])]) ).
fof(f6032,plain,
( spl27_417
<=> smndt0(xp) = sdtpldt0(sdtasdt0(xp,xp),xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_417])]) ).
fof(f13359,plain,
( xp = smndt0(xp)
| ~ spl27_108
| ~ spl27_417
| ~ spl27_574 ),
inference(forward_demodulation,[],[f13333,f980]) ).
fof(f980,plain,
( xp = sdtpldt0(sz00,xp)
| ~ spl27_108 ),
inference(avatar_component_clause,[],[f978]) ).
fof(f13333,plain,
( smndt0(xp) = sdtpldt0(sz00,xp)
| ~ spl27_417
| ~ spl27_574 ),
inference(superposition,[],[f6034,f11973]) ).
fof(f6034,plain,
( smndt0(xp) = sdtpldt0(sdtasdt0(xp,xp),xp)
| ~ spl27_417 ),
inference(avatar_component_clause,[],[f6032]) ).
fof(f11974,plain,
( spl27_574
| ~ spl27_164
| ~ spl27_423
| ~ spl27_472
| ~ spl27_499
| ~ spl27_563 ),
inference(avatar_split_clause,[],[f11901,f11870,f8362,f7552,f6277,f1381,f11971]) ).
fof(f1381,plain,
( spl27_164
<=> sz00 = sdtpldt0(smndt0(sz10),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_164])]) ).
fof(f6277,plain,
( spl27_423
<=> smndt0(sz10) = sdtpldt0(smndt0(xp),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_423])]) ).
fof(f7552,plain,
( spl27_472
<=> sdtasdt0(xp,xp) = sdtpldt0(smndt0(xp),smndt0(xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_472])]) ).
fof(f8362,plain,
( spl27_499
<=> aInteger0(smndt0(xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_499])]) ).
fof(f11870,plain,
( spl27_563
<=> ! [X0] :
( sdtpldt0(X0,smndt0(xp)) = sdtpldt0(sdtpldt0(X0,sz10),sz10)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_563])]) ).
fof(f11901,plain,
( sz00 = sdtasdt0(xp,xp)
| ~ spl27_164
| ~ spl27_423
| ~ spl27_472
| ~ spl27_499
| ~ spl27_563 ),
inference(forward_demodulation,[],[f11900,f1383]) ).
fof(f1383,plain,
( sz00 = sdtpldt0(smndt0(sz10),sz10)
| ~ spl27_164 ),
inference(avatar_component_clause,[],[f1381]) ).
fof(f11900,plain,
( sdtpldt0(smndt0(sz10),sz10) = sdtasdt0(xp,xp)
| ~ spl27_423
| ~ spl27_472
| ~ spl27_499
| ~ spl27_563 ),
inference(forward_demodulation,[],[f11899,f7554]) ).
fof(f7554,plain,
( sdtasdt0(xp,xp) = sdtpldt0(smndt0(xp),smndt0(xp))
| ~ spl27_472 ),
inference(avatar_component_clause,[],[f7552]) ).
fof(f11899,plain,
( sdtpldt0(smndt0(sz10),sz10) = sdtpldt0(smndt0(xp),smndt0(xp))
| ~ spl27_423
| ~ spl27_499
| ~ spl27_563 ),
inference(forward_demodulation,[],[f11877,f6279]) ).
fof(f6279,plain,
( smndt0(sz10) = sdtpldt0(smndt0(xp),sz10)
| ~ spl27_423 ),
inference(avatar_component_clause,[],[f6277]) ).
fof(f11877,plain,
( sdtpldt0(smndt0(xp),smndt0(xp)) = sdtpldt0(sdtpldt0(smndt0(xp),sz10),sz10)
| ~ spl27_499
| ~ spl27_563 ),
inference(resolution,[],[f11871,f8363]) ).
fof(f8363,plain,
( aInteger0(smndt0(xp))
| ~ spl27_499 ),
inference(avatar_component_clause,[],[f8362]) ).
fof(f11871,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,smndt0(xp)) = sdtpldt0(sdtpldt0(X0,sz10),sz10) )
| ~ spl27_563 ),
inference(avatar_component_clause,[],[f11870]) ).
fof(f11969,plain,
( spl27_573
| ~ spl27_7
| ~ spl27_150
| ~ spl27_311 ),
inference(avatar_split_clause,[],[f3654,f3464,f1270,f383,f11967]) ).
fof(f11967,plain,
( spl27_573
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz10),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sz10)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_573])]) ).
fof(f1270,plain,
( spl27_150
<=> sz10 = sdtasdt0(sz10,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_150])]) ).
fof(f3464,plain,
( spl27_311
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X1,sz10))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_311])]) ).
fof(f3654,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz10),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sz10)
| ~ aInteger0(X0) )
| ~ spl27_7
| ~ spl27_150
| ~ spl27_311 ),
inference(forward_demodulation,[],[f3645,f1272]) ).
fof(f1272,plain,
( sz10 = sdtasdt0(sz10,sz10)
| ~ spl27_150 ),
inference(avatar_component_clause,[],[f1270]) ).
fof(f3645,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz10),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(sz10,sz10))
| ~ aInteger0(X0) )
| ~ spl27_7
| ~ spl27_311 ),
inference(resolution,[],[f3465,f385]) ).
fof(f385,plain,
( aInteger0(sz10)
| ~ spl27_7 ),
inference(avatar_component_clause,[],[f383]) ).
fof(f3465,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sdtasdt0(sdtpldt0(X0,X1),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X1,sz10))
| ~ aInteger0(X0) )
| ~ spl27_311 ),
inference(avatar_component_clause,[],[f3464]) ).
fof(f11965,plain,
( spl27_572
| ~ spl27_8
| ~ spl27_149
| ~ spl27_311 ),
inference(avatar_split_clause,[],[f3653,f3464,f1265,f388,f11963]) ).
fof(f11963,plain,
( spl27_572
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz00),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sz00)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_572])]) ).
fof(f1265,plain,
( spl27_149
<=> sz00 = sdtasdt0(sz00,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_149])]) ).
fof(f3653,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz00),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sz00)
| ~ aInteger0(X0) )
| ~ spl27_8
| ~ spl27_149
| ~ spl27_311 ),
inference(forward_demodulation,[],[f3644,f1267]) ).
fof(f1267,plain,
( sz00 = sdtasdt0(sz00,sz10)
| ~ spl27_149 ),
inference(avatar_component_clause,[],[f1265]) ).
fof(f3644,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz00),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(sz00,sz10))
| ~ aInteger0(X0) )
| ~ spl27_8
| ~ spl27_311 ),
inference(resolution,[],[f3465,f390]) ).
fof(f390,plain,
( aInteger0(sz00)
| ~ spl27_8 ),
inference(avatar_component_clause,[],[f388]) ).
fof(f11961,plain,
( spl27_571
| ~ spl27_7
| ~ spl27_148
| ~ spl27_309 ),
inference(avatar_split_clause,[],[f3641,f3456,f1260,f383,f11959]) ).
fof(f11959,plain,
( spl27_571
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz10),sz00) = sdtpldt0(sdtasdt0(X0,sz00),sz00)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_571])]) ).
fof(f1260,plain,
( spl27_148
<=> sz00 = sdtasdt0(sz10,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_148])]) ).
fof(f3456,plain,
( spl27_309
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X1,sz00))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_309])]) ).
fof(f3641,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz10),sz00) = sdtpldt0(sdtasdt0(X0,sz00),sz00)
| ~ aInteger0(X0) )
| ~ spl27_7
| ~ spl27_148
| ~ spl27_309 ),
inference(forward_demodulation,[],[f3632,f1262]) ).
fof(f1262,plain,
( sz00 = sdtasdt0(sz10,sz00)
| ~ spl27_148 ),
inference(avatar_component_clause,[],[f1260]) ).
fof(f3632,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz10),sz00) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(sz10,sz00))
| ~ aInteger0(X0) )
| ~ spl27_7
| ~ spl27_309 ),
inference(resolution,[],[f3457,f385]) ).
fof(f3457,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sdtasdt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X1,sz00))
| ~ aInteger0(X0) )
| ~ spl27_309 ),
inference(avatar_component_clause,[],[f3456]) ).
fof(f11957,plain,
( spl27_570
| ~ spl27_8
| ~ spl27_147
| ~ spl27_309 ),
inference(avatar_split_clause,[],[f3640,f3456,f1255,f388,f11955]) ).
fof(f11955,plain,
( spl27_570
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz00),sz00) = sdtpldt0(sdtasdt0(X0,sz00),sz00)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_570])]) ).
fof(f1255,plain,
( spl27_147
<=> sz00 = sdtasdt0(sz00,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_147])]) ).
fof(f3640,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz00),sz00) = sdtpldt0(sdtasdt0(X0,sz00),sz00)
| ~ aInteger0(X0) )
| ~ spl27_8
| ~ spl27_147
| ~ spl27_309 ),
inference(forward_demodulation,[],[f3631,f1257]) ).
fof(f1257,plain,
( sz00 = sdtasdt0(sz00,sz00)
| ~ spl27_147 ),
inference(avatar_component_clause,[],[f1255]) ).
fof(f3631,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz00),sz00) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(sz00,sz00))
| ~ aInteger0(X0) )
| ~ spl27_8
| ~ spl27_309 ),
inference(resolution,[],[f3457,f390]) ).
fof(f11953,plain,
( spl27_569
| ~ spl27_8
| ~ spl27_153
| ~ spl27_308 ),
inference(avatar_split_clause,[],[f3628,f3452,f1285,f388,f11951]) ).
fof(f11951,plain,
( spl27_569
<=> ! [X0] :
( sdtasdt0(X0,sz10) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,sz10))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_569])]) ).
fof(f1285,plain,
( spl27_153
<=> sz10 = sdtpldt0(sz00,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_153])]) ).
fof(f3452,plain,
( spl27_308
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sz10)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz10))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_308])]) ).
fof(f3628,plain,
( ! [X0] :
( sdtasdt0(X0,sz10) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,sz10))
| ~ aInteger0(X0) )
| ~ spl27_8
| ~ spl27_153
| ~ spl27_308 ),
inference(forward_demodulation,[],[f3619,f1287]) ).
fof(f1287,plain,
( sz10 = sdtpldt0(sz00,sz10)
| ~ spl27_153 ),
inference(avatar_component_clause,[],[f1285]) ).
fof(f3619,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sz00,sz10)) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,sz10))
| ~ aInteger0(X0) )
| ~ spl27_8
| ~ spl27_308 ),
inference(resolution,[],[f3453,f390]) ).
fof(f3453,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sdtasdt0(X0,sdtpldt0(X1,sz10)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz10))
| ~ aInteger0(X0) )
| ~ spl27_308 ),
inference(avatar_component_clause,[],[f3452]) ).
fof(f11949,plain,
( spl27_568
| ~ spl27_7
| ~ spl27_152
| ~ spl27_307 ),
inference(avatar_split_clause,[],[f3601,f3448,f1280,f383,f11947]) ).
fof(f11947,plain,
( spl27_568
<=> ! [X0] :
( sdtasdt0(X0,sz10) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,sz00))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_568])]) ).
fof(f1280,plain,
( spl27_152
<=> sz10 = sdtpldt0(sz10,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_152])]) ).
fof(f3448,plain,
( spl27_307
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sz00)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz00))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_307])]) ).
fof(f3601,plain,
( ! [X0] :
( sdtasdt0(X0,sz10) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,sz00))
| ~ aInteger0(X0) )
| ~ spl27_7
| ~ spl27_152
| ~ spl27_307 ),
inference(forward_demodulation,[],[f3592,f1282]) ).
fof(f1282,plain,
( sz10 = sdtpldt0(sz10,sz00)
| ~ spl27_152 ),
inference(avatar_component_clause,[],[f1280]) ).
fof(f3592,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sz10,sz00)) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,sz00))
| ~ aInteger0(X0) )
| ~ spl27_7
| ~ spl27_307 ),
inference(resolution,[],[f3449,f385]) ).
fof(f3449,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sdtasdt0(X0,sdtpldt0(X1,sz00)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz00))
| ~ aInteger0(X0) )
| ~ spl27_307 ),
inference(avatar_component_clause,[],[f3448]) ).
fof(f11945,plain,
( spl27_567
| ~ spl27_8
| ~ spl27_151
| ~ spl27_307 ),
inference(avatar_split_clause,[],[f3600,f3448,f1275,f388,f11943]) ).
fof(f11943,plain,
( spl27_567
<=> ! [X0] :
( sdtasdt0(X0,sz00) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,sz00))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_567])]) ).
fof(f1275,plain,
( spl27_151
<=> sz00 = sdtpldt0(sz00,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_151])]) ).
fof(f3600,plain,
( ! [X0] :
( sdtasdt0(X0,sz00) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,sz00))
| ~ aInteger0(X0) )
| ~ spl27_8
| ~ spl27_151
| ~ spl27_307 ),
inference(forward_demodulation,[],[f3591,f1277]) ).
fof(f1277,plain,
( sz00 = sdtpldt0(sz00,sz00)
| ~ spl27_151 ),
inference(avatar_component_clause,[],[f1275]) ).
fof(f3591,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sz00,sz00)) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,sz00))
| ~ aInteger0(X0) )
| ~ spl27_8
| ~ spl27_307 ),
inference(resolution,[],[f3449,f390]) ).
fof(f11941,plain,
( spl27_566
| ~ spl27_7
| ~ spl27_176
| ~ spl27_306 ),
inference(avatar_split_clause,[],[f3588,f3444,f1479,f383,f11939]) ).
fof(f11939,plain,
( spl27_566
<=> ! [X0] :
( sdtasdt0(X0,smndt0(sz10)) = sdtasdt0(sdtasdt0(X0,sz10),smndt0(sz10))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_566])]) ).
fof(f1479,plain,
( spl27_176
<=> smndt0(sz10) = sdtasdt0(sz10,smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_176])]) ).
fof(f3444,plain,
( spl27_306
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),smndt0(sz10)) = sdtasdt0(X0,sdtasdt0(X1,smndt0(sz10)))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_306])]) ).
fof(f3588,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(sz10)) = sdtasdt0(sdtasdt0(X0,sz10),smndt0(sz10))
| ~ aInteger0(X0) )
| ~ spl27_7
| ~ spl27_176
| ~ spl27_306 ),
inference(forward_demodulation,[],[f3579,f1481]) ).
fof(f1481,plain,
( smndt0(sz10) = sdtasdt0(sz10,smndt0(sz10))
| ~ spl27_176 ),
inference(avatar_component_clause,[],[f1479]) ).
fof(f3579,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sz10),smndt0(sz10)) = sdtasdt0(X0,sdtasdt0(sz10,smndt0(sz10)))
| ~ aInteger0(X0) )
| ~ spl27_7
| ~ spl27_306 ),
inference(resolution,[],[f3445,f385]) ).
fof(f3445,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sdtasdt0(sdtasdt0(X0,X1),smndt0(sz10)) = sdtasdt0(X0,sdtasdt0(X1,smndt0(sz10)))
| ~ aInteger0(X0) )
| ~ spl27_306 ),
inference(avatar_component_clause,[],[f3444]) ).
fof(f11937,plain,
( spl27_565
| ~ spl27_8
| ~ spl27_178
| ~ spl27_305 ),
inference(avatar_split_clause,[],[f3575,f3440,f1489,f388,f11935]) ).
fof(f11935,plain,
( spl27_565
<=> ! [X0] :
( sdtpldt0(X0,smndt0(sz10)) = sdtpldt0(sdtpldt0(X0,sz00),smndt0(sz10))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_565])]) ).
fof(f1489,plain,
( spl27_178
<=> smndt0(sz10) = sdtpldt0(sz00,smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_178])]) ).
fof(f3440,plain,
( spl27_305
<=> ! [X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,smndt0(sz10))) = sdtpldt0(sdtpldt0(X0,X1),smndt0(sz10))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_305])]) ).
fof(f3575,plain,
( ! [X0] :
( sdtpldt0(X0,smndt0(sz10)) = sdtpldt0(sdtpldt0(X0,sz00),smndt0(sz10))
| ~ aInteger0(X0) )
| ~ spl27_8
| ~ spl27_178
| ~ spl27_305 ),
inference(forward_demodulation,[],[f3566,f1491]) ).
fof(f1491,plain,
( smndt0(sz10) = sdtpldt0(sz00,smndt0(sz10))
| ~ spl27_178 ),
inference(avatar_component_clause,[],[f1489]) ).
fof(f3566,plain,
( ! [X0] :
( sdtpldt0(X0,sdtpldt0(sz00,smndt0(sz10))) = sdtpldt0(sdtpldt0(X0,sz00),smndt0(sz10))
| ~ aInteger0(X0) )
| ~ spl27_8
| ~ spl27_305 ),
inference(resolution,[],[f3441,f390]) ).
fof(f3441,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sdtpldt0(X0,sdtpldt0(X1,smndt0(sz10))) = sdtpldt0(sdtpldt0(X0,X1),smndt0(sz10))
| ~ aInteger0(X0) )
| ~ spl27_305 ),
inference(avatar_component_clause,[],[f3440]) ).
fof(f11933,plain,
( spl27_564
| ~ spl27_63
| ~ spl27_174
| ~ spl27_283 ),
inference(avatar_split_clause,[],[f3051,f2888,f1468,f692,f11931]) ).
fof(f11931,plain,
( spl27_564
<=> ! [X0] :
( sdtasdt0(X0,smndt0(sz10)) = sdtasdt0(sdtasdt0(X0,smndt0(sz10)),sz10)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_564])]) ).
fof(f2888,plain,
( spl27_283
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sz10) = sdtasdt0(X0,sdtasdt0(X1,sz10))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_283])]) ).
fof(f3051,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(sz10)) = sdtasdt0(sdtasdt0(X0,smndt0(sz10)),sz10)
| ~ aInteger0(X0) )
| ~ spl27_63
| ~ spl27_174
| ~ spl27_283 ),
inference(forward_demodulation,[],[f3043,f1470]) ).
fof(f3043,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,smndt0(sz10)),sz10) = sdtasdt0(X0,sdtasdt0(smndt0(sz10),sz10))
| ~ aInteger0(X0) )
| ~ spl27_63
| ~ spl27_283 ),
inference(resolution,[],[f2889,f693]) ).
fof(f693,plain,
( aInteger0(smndt0(sz10))
| ~ spl27_63 ),
inference(avatar_component_clause,[],[f692]) ).
fof(f2889,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sdtasdt0(sdtasdt0(X0,X1),sz10) = sdtasdt0(X0,sdtasdt0(X1,sz10))
| ~ aInteger0(X0) )
| ~ spl27_283 ),
inference(avatar_component_clause,[],[f2888]) ).
fof(f11872,plain,
( spl27_563
| ~ spl27_153
| ~ spl27_160
| ~ spl27_265
| ~ spl27_310
| ~ spl27_466
| ~ spl27_495
| ~ spl27_499
| ~ spl27_562 ),
inference(avatar_split_clause,[],[f11868,f11865,f8362,f7658,f7424,f3460,f2532,f1355,f1285,f11870]) ).
fof(f1355,plain,
( spl27_160
<=> sz00 = sdtpldt0(smndt0(xp),xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_160])]) ).
fof(f2532,plain,
( spl27_265
<=> smndt0(xp) = sdtpldt0(smndt0(xp),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_265])]) ).
fof(f3460,plain,
( spl27_310
<=> ! [X0] :
( sdtpldt0(X0,smndt0(sz10)) = sdtpldt0(sdtpldt0(X0,xp),sz10)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_310])]) ).
fof(f7424,plain,
( spl27_466
<=> smndt0(smndt0(sz10)) = sdtpldt0(smndt0(xp),smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_466])]) ).
fof(f7658,plain,
( spl27_495
<=> ! [X0] :
( sdtpldt0(X0,sz00) = sdtpldt0(sdtpldt0(X0,smndt0(sz10)),sz10)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_495])]) ).
fof(f11865,plain,
( spl27_562
<=> ! [X0] :
( sdtpldt0(X0,sdtpldt0(sz10,sz10)) = sdtpldt0(sdtpldt0(X0,sz10),sz10)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_562])]) ).
fof(f11868,plain,
( ! [X0] :
( sdtpldt0(X0,smndt0(xp)) = sdtpldt0(sdtpldt0(X0,sz10),sz10)
| ~ aInteger0(X0) )
| ~ spl27_153
| ~ spl27_160
| ~ spl27_265
| ~ spl27_310
| ~ spl27_466
| ~ spl27_495
| ~ spl27_499
| ~ spl27_562 ),
inference(forward_demodulation,[],[f11866,f9086]) ).
fof(f9086,plain,
( smndt0(xp) = sdtpldt0(sz10,sz10)
| ~ spl27_153
| ~ spl27_160
| ~ spl27_265
| ~ spl27_310
| ~ spl27_466
| ~ spl27_495
| ~ spl27_499 ),
inference(forward_demodulation,[],[f9085,f2534]) ).
fof(f2534,plain,
( smndt0(xp) = sdtpldt0(smndt0(xp),sz00)
| ~ spl27_265 ),
inference(avatar_component_clause,[],[f2532]) ).
fof(f9085,plain,
( sdtpldt0(smndt0(xp),sz00) = sdtpldt0(sz10,sz10)
| ~ spl27_153
| ~ spl27_160
| ~ spl27_310
| ~ spl27_466
| ~ spl27_495
| ~ spl27_499 ),
inference(forward_demodulation,[],[f9084,f9012]) ).
fof(f9012,plain,
( sz10 = smndt0(smndt0(sz10))
| ~ spl27_153
| ~ spl27_160
| ~ spl27_310
| ~ spl27_466
| ~ spl27_499 ),
inference(forward_demodulation,[],[f9011,f1287]) ).
fof(f9011,plain,
( sdtpldt0(sz00,sz10) = smndt0(smndt0(sz10))
| ~ spl27_160
| ~ spl27_310
| ~ spl27_466
| ~ spl27_499 ),
inference(forward_demodulation,[],[f9010,f7426]) ).
fof(f7426,plain,
( smndt0(smndt0(sz10)) = sdtpldt0(smndt0(xp),smndt0(sz10))
| ~ spl27_466 ),
inference(avatar_component_clause,[],[f7424]) ).
fof(f9010,plain,
( sdtpldt0(sz00,sz10) = sdtpldt0(smndt0(xp),smndt0(sz10))
| ~ spl27_160
| ~ spl27_310
| ~ spl27_499 ),
inference(forward_demodulation,[],[f8870,f1357]) ).
fof(f1357,plain,
( sz00 = sdtpldt0(smndt0(xp),xp)
| ~ spl27_160 ),
inference(avatar_component_clause,[],[f1355]) ).
fof(f8870,plain,
( sdtpldt0(smndt0(xp),smndt0(sz10)) = sdtpldt0(sdtpldt0(smndt0(xp),xp),sz10)
| ~ spl27_310
| ~ spl27_499 ),
inference(resolution,[],[f8363,f3461]) ).
fof(f3461,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,smndt0(sz10)) = sdtpldt0(sdtpldt0(X0,xp),sz10) )
| ~ spl27_310 ),
inference(avatar_component_clause,[],[f3460]) ).
fof(f9084,plain,
( sdtpldt0(smndt0(xp),sz00) = sdtpldt0(smndt0(smndt0(sz10)),sz10)
| ~ spl27_466
| ~ spl27_495
| ~ spl27_499 ),
inference(forward_demodulation,[],[f8980,f7426]) ).
fof(f8980,plain,
( sdtpldt0(smndt0(xp),sz00) = sdtpldt0(sdtpldt0(smndt0(xp),smndt0(sz10)),sz10)
| ~ spl27_495
| ~ spl27_499 ),
inference(resolution,[],[f8363,f7659]) ).
fof(f7659,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sz00) = sdtpldt0(sdtpldt0(X0,smndt0(sz10)),sz10) )
| ~ spl27_495 ),
inference(avatar_component_clause,[],[f7658]) ).
fof(f11866,plain,
( ! [X0] :
( sdtpldt0(X0,sdtpldt0(sz10,sz10)) = sdtpldt0(sdtpldt0(X0,sz10),sz10)
| ~ aInteger0(X0) )
| ~ spl27_562 ),
inference(avatar_component_clause,[],[f11865]) ).
fof(f11867,plain,
( spl27_562
| ~ spl27_7
| ~ spl27_281 ),
inference(avatar_split_clause,[],[f3016,f2865,f383,f11865]) ).
fof(f2865,plain,
( spl27_281
<=> ! [X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,sz10)) = sdtpldt0(sdtpldt0(X0,X1),sz10)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_281])]) ).
fof(f3016,plain,
( ! [X0] :
( sdtpldt0(X0,sdtpldt0(sz10,sz10)) = sdtpldt0(sdtpldt0(X0,sz10),sz10)
| ~ aInteger0(X0) )
| ~ spl27_7
| ~ spl27_281 ),
inference(resolution,[],[f2866,f385]) ).
fof(f2866,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sdtpldt0(X0,sdtpldt0(X1,sz10)) = sdtpldt0(sdtpldt0(X0,X1),sz10)
| ~ aInteger0(X0) )
| ~ spl27_281 ),
inference(avatar_component_clause,[],[f2865]) ).
fof(f11863,plain,
( spl27_561
| ~ spl27_63
| ~ spl27_177
| ~ spl27_280 ),
inference(avatar_split_clause,[],[f3008,f2861,f1484,f692,f11861]) ).
fof(f11861,plain,
( spl27_561
<=> ! [X0] :
( sdtpldt0(X0,smndt0(sz10)) = sdtpldt0(sdtpldt0(X0,smndt0(sz10)),sz00)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_561])]) ).
fof(f1484,plain,
( spl27_177
<=> smndt0(sz10) = sdtpldt0(smndt0(sz10),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_177])]) ).
fof(f2861,plain,
( spl27_280
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(X0,sdtpldt0(X1,sz00))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_280])]) ).
fof(f3008,plain,
( ! [X0] :
( sdtpldt0(X0,smndt0(sz10)) = sdtpldt0(sdtpldt0(X0,smndt0(sz10)),sz00)
| ~ aInteger0(X0) )
| ~ spl27_63
| ~ spl27_177
| ~ spl27_280 ),
inference(forward_demodulation,[],[f3000,f1486]) ).
fof(f1486,plain,
( smndt0(sz10) = sdtpldt0(smndt0(sz10),sz00)
| ~ spl27_177 ),
inference(avatar_component_clause,[],[f1484]) ).
fof(f3000,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,smndt0(sz10)),sz00) = sdtpldt0(X0,sdtpldt0(smndt0(sz10),sz00))
| ~ aInteger0(X0) )
| ~ spl27_63
| ~ spl27_280 ),
inference(resolution,[],[f2862,f693]) ).
fof(f2862,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sdtpldt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(X0,sdtpldt0(X1,sz00))
| ~ aInteger0(X0) )
| ~ spl27_280 ),
inference(avatar_component_clause,[],[f2861]) ).
fof(f11859,plain,
( spl27_560
| ~ spl27_7
| ~ spl27_276 ),
inference(avatar_split_clause,[],[f2919,f2845,f383,f11857]) ).
fof(f11857,plain,
( spl27_560
<=> ! [X0] :
( smndt0(sdtasdt0(X0,sz10)) = sdtasdt0(sdtasdt0(X0,sz10),smndt0(sz10))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_560])]) ).
fof(f2845,plain,
( spl27_276
<=> ! [X0,X1] :
( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(X0,X1),smndt0(sz10))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_276])]) ).
fof(f2919,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,sz10)) = sdtasdt0(sdtasdt0(X0,sz10),smndt0(sz10))
| ~ aInteger0(X0) )
| ~ spl27_7
| ~ spl27_276 ),
inference(resolution,[],[f2846,f385]) ).
fof(f2846,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| smndt0(sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(X0,X1),smndt0(sz10))
| ~ aInteger0(X0) )
| ~ spl27_276 ),
inference(avatar_component_clause,[],[f2845]) ).
fof(f11855,plain,
( spl27_559
| ~ spl27_8
| ~ spl27_276 ),
inference(avatar_split_clause,[],[f2918,f2845,f388,f11853]) ).
fof(f11853,plain,
( spl27_559
<=> ! [X0] :
( smndt0(sdtasdt0(X0,sz00)) = sdtasdt0(sdtasdt0(X0,sz00),smndt0(sz10))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_559])]) ).
fof(f2918,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,sz00)) = sdtasdt0(sdtasdt0(X0,sz00),smndt0(sz10))
| ~ aInteger0(X0) )
| ~ spl27_8
| ~ spl27_276 ),
inference(resolution,[],[f2846,f390]) ).
fof(f11851,plain,
( spl27_558
| ~ spl27_7
| ~ spl27_275 ),
inference(avatar_split_clause,[],[f2910,f2841,f383,f11849]) ).
fof(f11849,plain,
( spl27_558
<=> ! [X0] :
( smndt0(sdtpldt0(X0,sz10)) = sdtasdt0(sdtpldt0(X0,sz10),smndt0(sz10))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_558])]) ).
fof(f2841,plain,
( spl27_275
<=> ! [X0,X1] :
( smndt0(sdtpldt0(X0,X1)) = sdtasdt0(sdtpldt0(X0,X1),smndt0(sz10))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_275])]) ).
fof(f2910,plain,
( ! [X0] :
( smndt0(sdtpldt0(X0,sz10)) = sdtasdt0(sdtpldt0(X0,sz10),smndt0(sz10))
| ~ aInteger0(X0) )
| ~ spl27_7
| ~ spl27_275 ),
inference(resolution,[],[f2842,f385]) ).
fof(f2842,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| smndt0(sdtpldt0(X0,X1)) = sdtasdt0(sdtpldt0(X0,X1),smndt0(sz10))
| ~ aInteger0(X0) )
| ~ spl27_275 ),
inference(avatar_component_clause,[],[f2841]) ).
fof(f11847,plain,
( spl27_557
| ~ spl27_8
| ~ spl27_275 ),
inference(avatar_split_clause,[],[f2909,f2841,f388,f11845]) ).
fof(f11845,plain,
( spl27_557
<=> ! [X0] :
( smndt0(sdtpldt0(X0,sz00)) = sdtasdt0(sdtpldt0(X0,sz00),smndt0(sz10))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_557])]) ).
fof(f2909,plain,
( ! [X0] :
( smndt0(sdtpldt0(X0,sz00)) = sdtasdt0(sdtpldt0(X0,sz00),smndt0(sz10))
| ~ aInteger0(X0) )
| ~ spl27_8
| ~ spl27_275 ),
inference(resolution,[],[f2842,f390]) ).
fof(f11843,plain,
( spl27_556
| ~ spl27_7
| ~ spl27_274 ),
inference(avatar_split_clause,[],[f2901,f2837,f383,f11841]) ).
fof(f11841,plain,
( spl27_556
<=> ! [X0] :
( smndt0(sdtasdt0(X0,sz10)) = sdtasdt0(smndt0(sz10),sdtasdt0(X0,sz10))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_556])]) ).
fof(f2837,plain,
( spl27_274
<=> ! [X0,X1] :
( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(sz10),sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_274])]) ).
fof(f2901,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,sz10)) = sdtasdt0(smndt0(sz10),sdtasdt0(X0,sz10))
| ~ aInteger0(X0) )
| ~ spl27_7
| ~ spl27_274 ),
inference(resolution,[],[f2838,f385]) ).
fof(f2838,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(sz10),sdtasdt0(X0,X1))
| ~ aInteger0(X0) )
| ~ spl27_274 ),
inference(avatar_component_clause,[],[f2837]) ).
fof(f11839,plain,
( spl27_555
| ~ spl27_8
| ~ spl27_274 ),
inference(avatar_split_clause,[],[f2900,f2837,f388,f11837]) ).
fof(f11837,plain,
( spl27_555
<=> ! [X0] :
( smndt0(sdtasdt0(X0,sz00)) = sdtasdt0(smndt0(sz10),sdtasdt0(X0,sz00))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_555])]) ).
fof(f2900,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,sz00)) = sdtasdt0(smndt0(sz10),sdtasdt0(X0,sz00))
| ~ aInteger0(X0) )
| ~ spl27_8
| ~ spl27_274 ),
inference(resolution,[],[f2838,f390]) ).
fof(f11835,plain,
( spl27_554
| ~ spl27_153
| ~ spl27_160
| ~ spl27_310
| ~ spl27_466
| ~ spl27_499 ),
inference(avatar_split_clause,[],[f9012,f8362,f7424,f3460,f1355,f1285,f11832]) ).
fof(f11832,plain,
( spl27_554
<=> sz10 = smndt0(smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_554])]) ).
fof(f11830,plain,
( spl27_553
| ~ spl27_7
| ~ spl27_273 ),
inference(avatar_split_clause,[],[f2892,f2833,f383,f11828]) ).
fof(f11828,plain,
( spl27_553
<=> ! [X0] :
( smndt0(sdtpldt0(X0,sz10)) = sdtasdt0(smndt0(sz10),sdtpldt0(X0,sz10))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_553])]) ).
fof(f2833,plain,
( spl27_273
<=> ! [X0,X1] :
( smndt0(sdtpldt0(X0,X1)) = sdtasdt0(smndt0(sz10),sdtpldt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_273])]) ).
fof(f2892,plain,
( ! [X0] :
( smndt0(sdtpldt0(X0,sz10)) = sdtasdt0(smndt0(sz10),sdtpldt0(X0,sz10))
| ~ aInteger0(X0) )
| ~ spl27_7
| ~ spl27_273 ),
inference(resolution,[],[f2834,f385]) ).
fof(f2834,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| smndt0(sdtpldt0(X0,X1)) = sdtasdt0(smndt0(sz10),sdtpldt0(X0,X1))
| ~ aInteger0(X0) )
| ~ spl27_273 ),
inference(avatar_component_clause,[],[f2833]) ).
fof(f11826,plain,
( spl27_552
| ~ spl27_8
| ~ spl27_273 ),
inference(avatar_split_clause,[],[f2891,f2833,f388,f11824]) ).
fof(f11824,plain,
( spl27_552
<=> ! [X0] :
( smndt0(sdtpldt0(X0,sz00)) = sdtasdt0(smndt0(sz10),sdtpldt0(X0,sz00))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_552])]) ).
fof(f2891,plain,
( ! [X0] :
( smndt0(sdtpldt0(X0,sz00)) = sdtasdt0(smndt0(sz10),sdtpldt0(X0,sz00))
| ~ aInteger0(X0) )
| ~ spl27_8
| ~ spl27_273 ),
inference(resolution,[],[f2834,f390]) ).
fof(f11821,plain,
( spl27_551
| ~ spl27_63
| ~ spl27_249 ),
inference(avatar_split_clause,[],[f2419,f2317,f692,f11819]) ).
fof(f11819,plain,
( spl27_551
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,smndt0(smndt0(sz10))) = sdtasdt0(smndt0(smndt0(sz10)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_551])]) ).
fof(f2317,plain,
( spl27_249
<=> ! [X0,X1] :
( sdtasdt0(X0,smndt0(X1)) = sdtasdt0(smndt0(X1),X0)
| ~ aInteger0(X0)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_249])]) ).
fof(f2419,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,smndt0(smndt0(sz10))) = sdtasdt0(smndt0(smndt0(sz10)),X0) )
| ~ spl27_63
| ~ spl27_249 ),
inference(resolution,[],[f2318,f693]) ).
fof(f2318,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(X0,smndt0(X1)) = sdtasdt0(smndt0(X1),X0) )
| ~ spl27_249 ),
inference(avatar_component_clause,[],[f2317]) ).
fof(f11816,plain,
( spl27_550
| ~ spl27_63
| ~ spl27_248 ),
inference(avatar_split_clause,[],[f2409,f2313,f692,f11814]) ).
fof(f11814,plain,
( spl27_550
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,smndt0(smndt0(sz10))) = sdtpldt0(smndt0(smndt0(sz10)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_550])]) ).
fof(f2313,plain,
( spl27_248
<=> ! [X0,X1] :
( sdtpldt0(X0,smndt0(X1)) = sdtpldt0(smndt0(X1),X0)
| ~ aInteger0(X0)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_248])]) ).
fof(f2409,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,smndt0(smndt0(sz10))) = sdtpldt0(smndt0(smndt0(sz10)),X0) )
| ~ spl27_63
| ~ spl27_248 ),
inference(resolution,[],[f2314,f693]) ).
fof(f2314,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtpldt0(X0,smndt0(X1)) = sdtpldt0(smndt0(X1),X0) )
| ~ spl27_248 ),
inference(avatar_component_clause,[],[f2313]) ).
fof(f11812,plain,
( spl27_549
| ~ spl27_63
| ~ spl27_247 ),
inference(avatar_split_clause,[],[f2400,f2309,f692,f11810]) ).
fof(f11810,plain,
( spl27_549
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(smndt0(sz10),X0) = sdtpldt0(sz00,sdtpldt0(smndt0(sz10),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_549])]) ).
fof(f2309,plain,
( spl27_247
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtpldt0(X1,X0) = sdtpldt0(sz00,sdtpldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_247])]) ).
fof(f2400,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(smndt0(sz10),X0) = sdtpldt0(sz00,sdtpldt0(smndt0(sz10),X0)) )
| ~ spl27_63
| ~ spl27_247 ),
inference(resolution,[],[f2310,f693]) ).
fof(f2310,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtpldt0(X1,X0) = sdtpldt0(sz00,sdtpldt0(X1,X0)) )
| ~ spl27_247 ),
inference(avatar_component_clause,[],[f2309]) ).
fof(f11808,plain,
( spl27_548
| ~ spl27_63
| ~ spl27_246 ),
inference(avatar_split_clause,[],[f2391,f2305,f692,f11806]) ).
fof(f11806,plain,
( spl27_548
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(smndt0(sz10),X0) = sdtpldt0(sdtpldt0(smndt0(sz10),X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_548])]) ).
fof(f2305,plain,
( spl27_246
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtpldt0(X1,X0) = sdtpldt0(sdtpldt0(X1,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_246])]) ).
fof(f2391,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(smndt0(sz10),X0) = sdtpldt0(sdtpldt0(smndt0(sz10),X0),sz00) )
| ~ spl27_63
| ~ spl27_246 ),
inference(resolution,[],[f2306,f693]) ).
fof(f2306,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtpldt0(X1,X0) = sdtpldt0(sdtpldt0(X1,X0),sz00) )
| ~ spl27_246 ),
inference(avatar_component_clause,[],[f2305]) ).
fof(f11804,plain,
( spl27_547
| ~ spl27_63
| ~ spl27_245 ),
inference(avatar_split_clause,[],[f2382,f2301,f692,f11802]) ).
fof(f11802,plain,
( spl27_547
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(smndt0(sz10),X0) = sdtasdt0(sz10,sdtpldt0(smndt0(sz10),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_547])]) ).
fof(f2301,plain,
( spl27_245
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtpldt0(X1,X0) = sdtasdt0(sz10,sdtpldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_245])]) ).
fof(f2382,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(smndt0(sz10),X0) = sdtasdt0(sz10,sdtpldt0(smndt0(sz10),X0)) )
| ~ spl27_63
| ~ spl27_245 ),
inference(resolution,[],[f2302,f693]) ).
fof(f2302,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtpldt0(X1,X0) = sdtasdt0(sz10,sdtpldt0(X1,X0)) )
| ~ spl27_245 ),
inference(avatar_component_clause,[],[f2301]) ).
fof(f11800,plain,
( spl27_546
| ~ spl27_63
| ~ spl27_244 ),
inference(avatar_split_clause,[],[f2373,f2297,f692,f11798]) ).
fof(f11798,plain,
( spl27_546
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(smndt0(sz10),X0) = sdtasdt0(sdtpldt0(smndt0(sz10),X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_546])]) ).
fof(f2297,plain,
( spl27_244
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtpldt0(X1,X0) = sdtasdt0(sdtpldt0(X1,X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_244])]) ).
fof(f2373,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(smndt0(sz10),X0) = sdtasdt0(sdtpldt0(smndt0(sz10),X0),sz10) )
| ~ spl27_63
| ~ spl27_244 ),
inference(resolution,[],[f2298,f693]) ).
fof(f2298,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtpldt0(X1,X0) = sdtasdt0(sdtpldt0(X1,X0),sz10) )
| ~ spl27_244 ),
inference(avatar_component_clause,[],[f2297]) ).
fof(f11796,plain,
( spl27_545
| ~ spl27_63
| ~ spl27_243 ),
inference(avatar_split_clause,[],[f2364,f2293,f692,f11794]) ).
fof(f11794,plain,
( spl27_545
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(smndt0(sz10),X0) = sdtpldt0(sz00,sdtasdt0(smndt0(sz10),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_545])]) ).
fof(f2293,plain,
( spl27_243
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,X0) = sdtpldt0(sz00,sdtasdt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_243])]) ).
fof(f2364,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(smndt0(sz10),X0) = sdtpldt0(sz00,sdtasdt0(smndt0(sz10),X0)) )
| ~ spl27_63
| ~ spl27_243 ),
inference(resolution,[],[f2294,f693]) ).
fof(f2294,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(X1,X0) = sdtpldt0(sz00,sdtasdt0(X1,X0)) )
| ~ spl27_243 ),
inference(avatar_component_clause,[],[f2293]) ).
fof(f11724,plain,
( spl27_539
| ~ spl27_7
| ~ spl27_148
| ~ spl27_153
| ~ spl27_160
| ~ spl27_310
| ~ spl27_466
| ~ spl27_499
| ~ spl27_516
| ~ spl27_534 ),
inference(avatar_split_clause,[],[f11723,f10680,f9394,f8362,f7424,f3460,f1355,f1285,f1260,f383,f11481]) ).
fof(f11481,plain,
( spl27_539
<=> sP0(sz00,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_539])]) ).
fof(f9394,plain,
( spl27_516
<=> sP0(sz00,smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_516])]) ).
fof(f10680,plain,
( spl27_534
<=> ! [X0] :
( sdtasdt0(smndt0(smndt0(X0)),sz00) = smndt0(smndt0(smndt0(X0)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_534])]) ).
fof(f11723,plain,
( sP0(sz00,sz00)
| ~ spl27_7
| ~ spl27_148
| ~ spl27_153
| ~ spl27_160
| ~ spl27_310
| ~ spl27_466
| ~ spl27_499
| ~ spl27_516
| ~ spl27_534 ),
inference(forward_demodulation,[],[f9396,f11204]) ).
fof(f11204,plain,
( sz00 = smndt0(sz10)
| ~ spl27_7
| ~ spl27_148
| ~ spl27_153
| ~ spl27_160
| ~ spl27_310
| ~ spl27_466
| ~ spl27_499
| ~ spl27_534 ),
inference(forward_demodulation,[],[f11203,f1262]) ).
fof(f11203,plain,
( smndt0(sz10) = sdtasdt0(sz10,sz00)
| ~ spl27_7
| ~ spl27_153
| ~ spl27_160
| ~ spl27_310
| ~ spl27_466
| ~ spl27_499
| ~ spl27_534 ),
inference(forward_demodulation,[],[f11182,f9012]) ).
fof(f11182,plain,
( sdtasdt0(smndt0(smndt0(sz10)),sz00) = smndt0(smndt0(smndt0(sz10)))
| ~ spl27_7
| ~ spl27_534 ),
inference(resolution,[],[f10681,f385]) ).
fof(f10681,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(smndt0(smndt0(X0)),sz00) = smndt0(smndt0(smndt0(X0))) )
| ~ spl27_534 ),
inference(avatar_component_clause,[],[f10680]) ).
fof(f9396,plain,
( sP0(sz00,smndt0(sz10))
| ~ spl27_516 ),
inference(avatar_component_clause,[],[f9394]) ).
fof(f11677,plain,
( spl27_544
| ~ spl27_7
| ~ spl27_148
| ~ spl27_150
| ~ spl27_153
| ~ spl27_160
| ~ spl27_310
| ~ spl27_466
| ~ spl27_499
| ~ spl27_533
| ~ spl27_534
| ~ spl27_543 ),
inference(avatar_split_clause,[],[f11673,f11669,f10680,f10560,f8362,f7424,f3460,f1355,f1285,f1270,f1260,f383,f11675]) ).
fof(f11675,plain,
( spl27_544
<=> ! [X0] :
( sdtasdt0(sz10,X0) = sdtpldt0(sdtasdt0(sz10,X0),sz10)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_544])]) ).
fof(f10560,plain,
( spl27_533
<=> ! [X0] :
( sdtasdt0(smndt0(smndt0(X0)),sz10) = smndt0(smndt0(smndt0(X0)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_533])]) ).
fof(f11669,plain,
( spl27_543
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(smndt0(sz10),X0) = sdtpldt0(sdtasdt0(smndt0(sz10),X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_543])]) ).
fof(f11673,plain,
( ! [X0] :
( sdtasdt0(sz10,X0) = sdtpldt0(sdtasdt0(sz10,X0),sz10)
| ~ aInteger0(X0) )
| ~ spl27_7
| ~ spl27_148
| ~ spl27_150
| ~ spl27_153
| ~ spl27_160
| ~ spl27_310
| ~ spl27_466
| ~ spl27_499
| ~ spl27_533
| ~ spl27_534
| ~ spl27_543 ),
inference(forward_demodulation,[],[f11672,f11416]) ).
fof(f11416,plain,
( sz10 = smndt0(sz10)
| ~ spl27_7
| ~ spl27_150
| ~ spl27_153
| ~ spl27_160
| ~ spl27_310
| ~ spl27_466
| ~ spl27_499
| ~ spl27_533 ),
inference(forward_demodulation,[],[f11415,f1272]) ).
fof(f11415,plain,
( smndt0(sz10) = sdtasdt0(sz10,sz10)
| ~ spl27_7
| ~ spl27_153
| ~ spl27_160
| ~ spl27_310
| ~ spl27_466
| ~ spl27_499
| ~ spl27_533 ),
inference(forward_demodulation,[],[f11394,f9012]) ).
fof(f11394,plain,
( sdtasdt0(smndt0(smndt0(sz10)),sz10) = smndt0(smndt0(smndt0(sz10)))
| ~ spl27_7
| ~ spl27_533 ),
inference(resolution,[],[f10561,f385]) ).
fof(f10561,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(smndt0(smndt0(X0)),sz10) = smndt0(smndt0(smndt0(X0))) )
| ~ spl27_533 ),
inference(avatar_component_clause,[],[f10560]) ).
fof(f11672,plain,
( ! [X0] :
( sdtasdt0(smndt0(sz10),X0) = sdtpldt0(sdtasdt0(smndt0(sz10),X0),sz10)
| ~ aInteger0(X0) )
| ~ spl27_7
| ~ spl27_148
| ~ spl27_150
| ~ spl27_153
| ~ spl27_160
| ~ spl27_310
| ~ spl27_466
| ~ spl27_499
| ~ spl27_533
| ~ spl27_534
| ~ spl27_543 ),
inference(forward_demodulation,[],[f11670,f11596]) ).
fof(f11596,plain,
( sz00 = sz10
| ~ spl27_7
| ~ spl27_148
| ~ spl27_150
| ~ spl27_153
| ~ spl27_160
| ~ spl27_310
| ~ spl27_466
| ~ spl27_499
| ~ spl27_533
| ~ spl27_534 ),
inference(forward_demodulation,[],[f11204,f11416]) ).
fof(f11670,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(smndt0(sz10),X0) = sdtpldt0(sdtasdt0(smndt0(sz10),X0),sz00) )
| ~ spl27_543 ),
inference(avatar_component_clause,[],[f11669]) ).
fof(f11671,plain,
( spl27_543
| ~ spl27_63
| ~ spl27_242 ),
inference(avatar_split_clause,[],[f2355,f2289,f692,f11669]) ).
fof(f2289,plain,
( spl27_242
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,X0) = sdtpldt0(sdtasdt0(X1,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_242])]) ).
fof(f2355,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(smndt0(sz10),X0) = sdtpldt0(sdtasdt0(smndt0(sz10),X0),sz00) )
| ~ spl27_63
| ~ spl27_242 ),
inference(resolution,[],[f2290,f693]) ).
fof(f2290,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(X1,X0) = sdtpldt0(sdtasdt0(X1,X0),sz00) )
| ~ spl27_242 ),
inference(avatar_component_clause,[],[f2289]) ).
fof(f11666,plain,
( spl27_542
| ~ spl27_63
| ~ spl27_241 ),
inference(avatar_split_clause,[],[f2346,f2285,f692,f11664]) ).
fof(f11664,plain,
( spl27_542
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(smndt0(sz10),X0) = sdtasdt0(sz10,sdtasdt0(smndt0(sz10),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_542])]) ).
fof(f2285,plain,
( spl27_241
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,X0) = sdtasdt0(sz10,sdtasdt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_241])]) ).
fof(f2346,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(smndt0(sz10),X0) = sdtasdt0(sz10,sdtasdt0(smndt0(sz10),X0)) )
| ~ spl27_63
| ~ spl27_241 ),
inference(resolution,[],[f2286,f693]) ).
fof(f2286,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(X1,X0) = sdtasdt0(sz10,sdtasdt0(X1,X0)) )
| ~ spl27_241 ),
inference(avatar_component_clause,[],[f2285]) ).
fof(f11661,plain,
( spl27_541
| ~ spl27_63
| ~ spl27_240 ),
inference(avatar_split_clause,[],[f2337,f2281,f692,f11659]) ).
fof(f11659,plain,
( spl27_541
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(smndt0(sz10),X0) = sdtasdt0(sdtasdt0(smndt0(sz10),X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_541])]) ).
fof(f2281,plain,
( spl27_240
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,X0) = sdtasdt0(sdtasdt0(X1,X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_240])]) ).
fof(f2337,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(smndt0(sz10),X0) = sdtasdt0(sdtasdt0(smndt0(sz10),X0),sz10) )
| ~ spl27_63
| ~ spl27_240 ),
inference(resolution,[],[f2282,f693]) ).
fof(f2282,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(X1,X0) = sdtasdt0(sdtasdt0(X1,X0),sz10) )
| ~ spl27_240 ),
inference(avatar_component_clause,[],[f2281]) ).
fof(f11656,plain,
( spl27_540
| ~ spl27_16
| ~ spl27_225 ),
inference(avatar_split_clause,[],[f2136,f2020,f430,f11654]) ).
fof(f11654,plain,
( spl27_540
<=> ! [X0] :
( sdtasdt0(smndt0(sz10),smndt0(X0)) = sdtasdt0(smndt0(X0),smndt0(sz10))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_540])]) ).
fof(f430,plain,
( spl27_16
<=> ! [X0] :
( aInteger0(smndt0(X0))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_16])]) ).
fof(f2020,plain,
( spl27_225
<=> ! [X0] :
( sdtasdt0(smndt0(sz10),X0) = sdtasdt0(X0,smndt0(sz10))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_225])]) ).
fof(f2136,plain,
( ! [X0] :
( sdtasdt0(smndt0(sz10),smndt0(X0)) = sdtasdt0(smndt0(X0),smndt0(sz10))
| ~ aInteger0(X0) )
| ~ spl27_16
| ~ spl27_225 ),
inference(resolution,[],[f2021,f431]) ).
fof(f431,plain,
( ! [X0] :
( aInteger0(smndt0(X0))
| ~ aInteger0(X0) )
| ~ spl27_16 ),
inference(avatar_component_clause,[],[f430]) ).
fof(f2021,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(smndt0(sz10),X0) = sdtasdt0(X0,smndt0(sz10)) )
| ~ spl27_225 ),
inference(avatar_component_clause,[],[f2020]) ).
fof(f11507,plain,
( ~ spl27_11
| ~ spl27_539 ),
inference(avatar_contradiction_clause,[],[f11485]) ).
fof(f11485,plain,
( $false
| ~ spl27_11
| ~ spl27_539 ),
inference(resolution,[],[f11483,f404]) ).
fof(f404,plain,
( ! [X0] : ~ sP0(X0,sz00)
| ~ spl27_11 ),
inference(avatar_component_clause,[],[f403]) ).
fof(f403,plain,
( spl27_11
<=> ! [X0] : ~ sP0(X0,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_11])]) ).
fof(f11483,plain,
( sP0(sz00,sz00)
| ~ spl27_539 ),
inference(avatar_component_clause,[],[f11481]) ).
fof(f11484,plain,
( spl27_539
| ~ spl27_7
| ~ spl27_149
| ~ spl27_153
| ~ spl27_160
| ~ spl27_310
| ~ spl27_466
| ~ spl27_499
| ~ spl27_516
| ~ spl27_529 ),
inference(avatar_split_clause,[],[f11478,f9746,f9394,f8362,f7424,f3460,f1355,f1285,f1265,f383,f11481]) ).
fof(f9746,plain,
( spl27_529
<=> ! [X0] :
( sdtasdt0(sz00,smndt0(smndt0(X0))) = smndt0(smndt0(smndt0(X0)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_529])]) ).
fof(f11478,plain,
( sP0(sz00,sz00)
| ~ spl27_7
| ~ spl27_149
| ~ spl27_153
| ~ spl27_160
| ~ spl27_310
| ~ spl27_466
| ~ spl27_499
| ~ spl27_516
| ~ spl27_529 ),
inference(forward_demodulation,[],[f9396,f10523]) ).
fof(f10523,plain,
( sz00 = smndt0(sz10)
| ~ spl27_7
| ~ spl27_149
| ~ spl27_153
| ~ spl27_160
| ~ spl27_310
| ~ spl27_466
| ~ spl27_499
| ~ spl27_529 ),
inference(forward_demodulation,[],[f10522,f1267]) ).
fof(f10522,plain,
( smndt0(sz10) = sdtasdt0(sz00,sz10)
| ~ spl27_7
| ~ spl27_153
| ~ spl27_160
| ~ spl27_310
| ~ spl27_466
| ~ spl27_499
| ~ spl27_529 ),
inference(forward_demodulation,[],[f10501,f9012]) ).
fof(f10501,plain,
( sdtasdt0(sz00,smndt0(smndt0(sz10))) = smndt0(smndt0(smndt0(sz10)))
| ~ spl27_7
| ~ spl27_529 ),
inference(resolution,[],[f9747,f385]) ).
fof(f9747,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sz00,smndt0(smndt0(X0))) = smndt0(smndt0(smndt0(X0))) )
| ~ spl27_529 ),
inference(avatar_component_clause,[],[f9746]) ).
fof(f11437,plain,
( spl27_361
| ~ spl27_4
| ~ spl27_7
| ~ spl27_149
| ~ spl27_150
| ~ spl27_153
| ~ spl27_160
| ~ spl27_310
| ~ spl27_372
| ~ spl27_429
| ~ spl27_466
| ~ spl27_499
| ~ spl27_527
| ~ spl27_529 ),
inference(avatar_split_clause,[],[f10775,f9746,f9541,f8362,f7424,f6353,f5034,f3460,f1355,f1285,f1270,f1265,f383,f368,f4805]) ).
fof(f4805,plain,
( spl27_361
<=> sz00 = sz10 ),
introduced(avatar_definition,[new_symbols(naming,[spl27_361])]) ).
fof(f5034,plain,
( spl27_372
<=> ! [X0] :
( sz00 = sdtasdt0(sz00,smndt0(smndt0(X0)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_372])]) ).
fof(f6353,plain,
( spl27_429
<=> ! [X0] :
( smndt0(smndt0(X0)) = sdtasdt0(sz10,smndt0(smndt0(X0)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_429])]) ).
fof(f9541,plain,
( spl27_527
<=> ! [X0] :
( sdtasdt0(sz10,smndt0(smndt0(X0))) = smndt0(smndt0(smndt0(X0)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_527])]) ).
fof(f10775,plain,
( sz00 = sz10
| ~ spl27_4
| ~ spl27_7
| ~ spl27_149
| ~ spl27_150
| ~ spl27_153
| ~ spl27_160
| ~ spl27_310
| ~ spl27_372
| ~ spl27_429
| ~ spl27_466
| ~ spl27_499
| ~ spl27_527
| ~ spl27_529 ),
inference(forward_demodulation,[],[f10569,f10570]) ).
fof(f10570,plain,
( sz10 = smndt0(smndt0(xp))
| ~ spl27_4
| ~ spl27_7
| ~ spl27_149
| ~ spl27_150
| ~ spl27_153
| ~ spl27_160
| ~ spl27_310
| ~ spl27_372
| ~ spl27_429
| ~ spl27_466
| ~ spl27_499
| ~ spl27_527
| ~ spl27_529 ),
inference(forward_demodulation,[],[f10569,f10568]) ).
fof(f10568,plain,
( sz00 = sz10
| ~ spl27_7
| ~ spl27_149
| ~ spl27_150
| ~ spl27_153
| ~ spl27_160
| ~ spl27_310
| ~ spl27_466
| ~ spl27_499
| ~ spl27_527
| ~ spl27_529 ),
inference(forward_demodulation,[],[f10523,f10487]) ).
fof(f10487,plain,
( sz10 = smndt0(sz10)
| ~ spl27_7
| ~ spl27_150
| ~ spl27_153
| ~ spl27_160
| ~ spl27_310
| ~ spl27_466
| ~ spl27_499
| ~ spl27_527 ),
inference(forward_demodulation,[],[f10486,f1272]) ).
fof(f10486,plain,
( smndt0(sz10) = sdtasdt0(sz10,sz10)
| ~ spl27_7
| ~ spl27_153
| ~ spl27_160
| ~ spl27_310
| ~ spl27_466
| ~ spl27_499
| ~ spl27_527 ),
inference(forward_demodulation,[],[f10465,f9012]) ).
fof(f10465,plain,
( sdtasdt0(sz10,smndt0(smndt0(sz10))) = smndt0(smndt0(smndt0(sz10)))
| ~ spl27_7
| ~ spl27_527 ),
inference(resolution,[],[f9542,f385]) ).
fof(f9542,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sz10,smndt0(smndt0(X0))) = smndt0(smndt0(smndt0(X0))) )
| ~ spl27_527 ),
inference(avatar_component_clause,[],[f9541]) ).
fof(f10569,plain,
( sz00 = smndt0(smndt0(xp))
| ~ spl27_4
| ~ spl27_372
| ~ spl27_429
| ~ spl27_527
| ~ spl27_529 ),
inference(forward_demodulation,[],[f10497,f10564]) ).
fof(f10564,plain,
( sz00 = smndt0(smndt0(smndt0(xp)))
| ~ spl27_4
| ~ spl27_372
| ~ spl27_529 ),
inference(forward_demodulation,[],[f10509,f5126]) ).
fof(f5126,plain,
( sz00 = sdtasdt0(sz00,smndt0(smndt0(xp)))
| ~ spl27_4
| ~ spl27_372 ),
inference(resolution,[],[f5035,f370]) ).
fof(f370,plain,
( aInteger0(xp)
| ~ spl27_4 ),
inference(avatar_component_clause,[],[f368]) ).
fof(f5035,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sz00,smndt0(smndt0(X0))) )
| ~ spl27_372 ),
inference(avatar_component_clause,[],[f5034]) ).
fof(f10509,plain,
( sdtasdt0(sz00,smndt0(smndt0(xp))) = smndt0(smndt0(smndt0(xp)))
| ~ spl27_4
| ~ spl27_529 ),
inference(resolution,[],[f9747,f370]) ).
fof(f10497,plain,
( smndt0(smndt0(xp)) = smndt0(smndt0(smndt0(xp)))
| ~ spl27_4
| ~ spl27_429
| ~ spl27_527 ),
inference(forward_demodulation,[],[f10473,f6806]) ).
fof(f6806,plain,
( smndt0(smndt0(xp)) = sdtasdt0(sz10,smndt0(smndt0(xp)))
| ~ spl27_4
| ~ spl27_429 ),
inference(resolution,[],[f6354,f370]) ).
fof(f6354,plain,
( ! [X0] :
( ~ aInteger0(X0)
| smndt0(smndt0(X0)) = sdtasdt0(sz10,smndt0(smndt0(X0))) )
| ~ spl27_429 ),
inference(avatar_component_clause,[],[f6353]) ).
fof(f10473,plain,
( smndt0(smndt0(smndt0(xp))) = sdtasdt0(sz10,smndt0(smndt0(xp)))
| ~ spl27_4
| ~ spl27_527 ),
inference(resolution,[],[f9542,f370]) ).
fof(f11435,plain,
( spl27_538
| ~ spl27_16
| ~ spl27_224 ),
inference(avatar_split_clause,[],[f2125,f2016,f430,f11433]) ).
fof(f11433,plain,
( spl27_538
<=> ! [X0] :
( sdtpldt0(smndt0(X0),smndt0(sz10)) = sdtpldt0(smndt0(sz10),smndt0(X0))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_538])]) ).
fof(f2016,plain,
( spl27_224
<=> ! [X0] :
( sdtpldt0(X0,smndt0(sz10)) = sdtpldt0(smndt0(sz10),X0)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_224])]) ).
fof(f2125,plain,
( ! [X0] :
( sdtpldt0(smndt0(X0),smndt0(sz10)) = sdtpldt0(smndt0(sz10),smndt0(X0))
| ~ aInteger0(X0) )
| ~ spl27_16
| ~ spl27_224 ),
inference(resolution,[],[f2017,f431]) ).
fof(f2017,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,smndt0(sz10)) = sdtpldt0(smndt0(sz10),X0) )
| ~ spl27_224 ),
inference(avatar_component_clause,[],[f2016]) ).
fof(f11242,plain,
( spl27_537
| ~ spl27_66
| ~ spl27_86
| ~ spl27_148
| ~ spl27_152
| ~ spl27_153
| ~ spl27_162
| ~ spl27_164
| ~ spl27_169
| ~ spl27_229
| ~ spl27_231
| ~ spl27_292
| ~ spl27_362
| ~ spl27_369
| ~ spl27_478
| ~ spl27_516
| ~ spl27_517 ),
inference(avatar_split_clause,[],[f10200,f9497,f9394,f7577,f4911,f4809,f3082,f2161,f2153,f1427,f1381,f1371,f1285,f1280,f1260,f835,f747,f11240]) ).
fof(f11240,plain,
( spl27_537
<=> ! [X0,X1] :
( xp = sdtasdt0(smndt0(sK16(X0,X1)),xp)
| ~ aElementOf0(X1,X0)
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_537])]) ).
fof(f747,plain,
( spl27_66
<=> ! [X0,X1] :
( sdtasdt0(X1,sK14(X0,X1)) = X0
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_66])]) ).
fof(f835,plain,
( spl27_86
<=> sz00 = sdtasdt0(sz00,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_86])]) ).
fof(f2153,plain,
( spl27_229
<=> ! [X0,X1] :
( ~ sP0(X0,X1)
| sK14(X0,X1) = sdtasdt0(sz10,sK14(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_229])]) ).
fof(f2161,plain,
( spl27_231
<=> ! [X0,X1] :
( ~ sP0(X0,X1)
| sK14(X0,X1) = sdtpldt0(sz00,sK14(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_231])]) ).
fof(f3082,plain,
( spl27_292
<=> xp = sdtpldt0(smndt0(sz10),smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_292])]) ).
fof(f4809,plain,
( spl27_362
<=> sP0(sz10,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_362])]) ).
fof(f4911,plain,
( spl27_369
<=> smndt0(smndt0(xp)) = sdtasdt0(smndt0(xp),smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_369])]) ).
fof(f9497,plain,
( spl27_517
<=> ! [X0,X1] :
( sz00 = sdtasdt0(smndt0(sK16(X0,X1)),sz00)
| ~ aElementOf0(X1,X0)
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_517])]) ).
fof(f10200,plain,
( ! [X0,X1] :
( xp = sdtasdt0(smndt0(sK16(X0,X1)),xp)
| ~ aElementOf0(X1,X0)
| ~ sP2(X0) )
| ~ spl27_66
| ~ spl27_86
| ~ spl27_148
| ~ spl27_152
| ~ spl27_153
| ~ spl27_162
| ~ spl27_164
| ~ spl27_169
| ~ spl27_229
| ~ spl27_231
| ~ spl27_292
| ~ spl27_362
| ~ spl27_369
| ~ spl27_478
| ~ spl27_516
| ~ spl27_517 ),
inference(forward_demodulation,[],[f9500,f9695]) ).
fof(f9695,plain,
( sz10 = xp
| ~ spl27_66
| ~ spl27_86
| ~ spl27_148
| ~ spl27_152
| ~ spl27_153
| ~ spl27_162
| ~ spl27_164
| ~ spl27_169
| ~ spl27_229
| ~ spl27_231
| ~ spl27_292
| ~ spl27_362
| ~ spl27_369
| ~ spl27_478
| ~ spl27_516 ),
inference(forward_demodulation,[],[f9694,f9452]) ).
fof(f9452,plain,
( xp = sdtpldt0(sz10,sz10)
| ~ spl27_152
| ~ spl27_162
| ~ spl27_292
| ~ spl27_478 ),
inference(forward_demodulation,[],[f9418,f9444]) ).
fof(f9444,plain,
( sz00 = sz10
| ~ spl27_152
| ~ spl27_162
| ~ spl27_478 ),
inference(forward_demodulation,[],[f9404,f1282]) ).
fof(f9404,plain,
( sz00 = sdtpldt0(sz10,sz00)
| ~ spl27_162
| ~ spl27_478 ),
inference(superposition,[],[f1373,f7579]) ).
fof(f7579,plain,
( sz00 = smndt0(sz10)
| ~ spl27_478 ),
inference(avatar_component_clause,[],[f7577]) ).
fof(f9418,plain,
( xp = sdtpldt0(sz00,sz00)
| ~ spl27_292
| ~ spl27_478 ),
inference(superposition,[],[f3084,f7579]) ).
fof(f3084,plain,
( xp = sdtpldt0(smndt0(sz10),smndt0(sz10))
| ~ spl27_292 ),
inference(avatar_component_clause,[],[f3082]) ).
fof(f9694,plain,
( sz10 = sdtpldt0(sz10,sz10)
| ~ spl27_66
| ~ spl27_86
| ~ spl27_148
| ~ spl27_152
| ~ spl27_153
| ~ spl27_162
| ~ spl27_164
| ~ spl27_169
| ~ spl27_229
| ~ spl27_231
| ~ spl27_362
| ~ spl27_369
| ~ spl27_478
| ~ spl27_516 ),
inference(forward_demodulation,[],[f9693,f4942]) ).
fof(f4942,plain,
( sz10 = sK14(sz10,sz10)
| ~ spl27_66
| ~ spl27_229
| ~ spl27_362 ),
inference(forward_demodulation,[],[f4929,f4925]) ).
fof(f4925,plain,
( sz10 = sdtasdt0(sz10,sK14(sz10,sz10))
| ~ spl27_66
| ~ spl27_362 ),
inference(resolution,[],[f4811,f748]) ).
fof(f748,plain,
( ! [X0,X1] :
( ~ sP0(X0,X1)
| sdtasdt0(X1,sK14(X0,X1)) = X0 )
| ~ spl27_66 ),
inference(avatar_component_clause,[],[f747]) ).
fof(f4811,plain,
( sP0(sz10,sz10)
| ~ spl27_362 ),
inference(avatar_component_clause,[],[f4809]) ).
fof(f4929,plain,
( sK14(sz10,sz10) = sdtasdt0(sz10,sK14(sz10,sz10))
| ~ spl27_229
| ~ spl27_362 ),
inference(resolution,[],[f4811,f2154]) ).
fof(f2154,plain,
( ! [X0,X1] :
( ~ sP0(X0,X1)
| sK14(X0,X1) = sdtasdt0(sz10,sK14(X0,X1)) )
| ~ spl27_229 ),
inference(avatar_component_clause,[],[f2153]) ).
fof(f9693,plain,
( sK14(sz10,sz10) = sdtpldt0(sz10,sK14(sz10,sz10))
| ~ spl27_86
| ~ spl27_148
| ~ spl27_152
| ~ spl27_153
| ~ spl27_162
| ~ spl27_164
| ~ spl27_169
| ~ spl27_231
| ~ spl27_369
| ~ spl27_478
| ~ spl27_516 ),
inference(forward_demodulation,[],[f9692,f9445]) ).
fof(f9445,plain,
( sz00 = sz10
| ~ spl27_153
| ~ spl27_164
| ~ spl27_478 ),
inference(forward_demodulation,[],[f9405,f1287]) ).
fof(f9405,plain,
( sz00 = sdtpldt0(sz00,sz10)
| ~ spl27_164
| ~ spl27_478 ),
inference(superposition,[],[f1383,f7579]) ).
fof(f9692,plain,
( sK14(sz00,sz00) = sdtpldt0(sz00,sK14(sz00,sz00))
| ~ spl27_86
| ~ spl27_148
| ~ spl27_152
| ~ spl27_162
| ~ spl27_169
| ~ spl27_231
| ~ spl27_369
| ~ spl27_478
| ~ spl27_516 ),
inference(forward_demodulation,[],[f9657,f9599]) ).
fof(f9599,plain,
( sz00 = smndt0(sz10)
| ~ spl27_86
| ~ spl27_148
| ~ spl27_152
| ~ spl27_162
| ~ spl27_169
| ~ spl27_369
| ~ spl27_478 ),
inference(forward_demodulation,[],[f9462,f1262]) ).
fof(f9462,plain,
( smndt0(sz10) = sdtasdt0(sz10,sz00)
| ~ spl27_86
| ~ spl27_152
| ~ spl27_162
| ~ spl27_169
| ~ spl27_369
| ~ spl27_478 ),
inference(forward_demodulation,[],[f9425,f9447]) ).
fof(f9447,plain,
( sz10 = smndt0(xp)
| ~ spl27_86
| ~ spl27_152
| ~ spl27_162
| ~ spl27_169
| ~ spl27_478 ),
inference(forward_demodulation,[],[f9446,f9444]) ).
fof(f9446,plain,
( sz00 = smndt0(xp)
| ~ spl27_86
| ~ spl27_169
| ~ spl27_478 ),
inference(forward_demodulation,[],[f9408,f837]) ).
fof(f837,plain,
( sz00 = sdtasdt0(sz00,xp)
| ~ spl27_86 ),
inference(avatar_component_clause,[],[f835]) ).
fof(f9408,plain,
( smndt0(xp) = sdtasdt0(sz00,xp)
| ~ spl27_169
| ~ spl27_478 ),
inference(superposition,[],[f1429,f7579]) ).
fof(f9425,plain,
( sdtasdt0(smndt0(xp),sz00) = smndt0(smndt0(xp))
| ~ spl27_369
| ~ spl27_478 ),
inference(superposition,[],[f4913,f7579]) ).
fof(f4913,plain,
( smndt0(smndt0(xp)) = sdtasdt0(smndt0(xp),smndt0(sz10))
| ~ spl27_369 ),
inference(avatar_component_clause,[],[f4911]) ).
fof(f9657,plain,
( sK14(sz00,smndt0(sz10)) = sdtpldt0(sz00,sK14(sz00,smndt0(sz10)))
| ~ spl27_231
| ~ spl27_516 ),
inference(resolution,[],[f9396,f2162]) ).
fof(f2162,plain,
( ! [X0,X1] :
( ~ sP0(X0,X1)
| sK14(X0,X1) = sdtpldt0(sz00,sK14(X0,X1)) )
| ~ spl27_231 ),
inference(avatar_component_clause,[],[f2161]) ).
fof(f9500,plain,
( ! [X0,X1] :
( sz10 = sdtasdt0(smndt0(sK16(X0,X1)),sz10)
| ~ aElementOf0(X1,X0)
| ~ sP2(X0) )
| ~ spl27_152
| ~ spl27_162
| ~ spl27_478
| ~ spl27_517 ),
inference(forward_demodulation,[],[f9498,f9444]) ).
fof(f9498,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,X0)
| sz00 = sdtasdt0(smndt0(sK16(X0,X1)),sz00)
| ~ sP2(X0) )
| ~ spl27_517 ),
inference(avatar_component_clause,[],[f9497]) ).
fof(f10726,plain,
( spl27_478
| ~ spl27_63
| spl27_536
| ~ spl27_153
| ~ spl27_160
| ~ spl27_197
| ~ spl27_310
| ~ spl27_347
| ~ spl27_466
| ~ spl27_499 ),
inference(avatar_split_clause,[],[f9566,f8362,f7424,f4320,f3460,f1721,f1355,f1285,f10724,f692,f7577]) ).
fof(f10724,plain,
( spl27_536
<=> ! [X0,X1] :
( sP8(sz10,X0,X1)
| ~ aSet0(X1)
| ~ aInteger0(X0)
| sdteqdtlpzmzozddtrp0(sK24(sz10,X0,X1),X0,smndt0(sz10))
| aElementOf0(sK24(sz10,X0,X1),X1)
| ~ aInteger0(sK24(sz10,X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_536])]) ).
fof(f1721,plain,
( spl27_197
<=> smndt0(smndt0(sz10)) = sdtasdt0(smndt0(sz10),smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_197])]) ).
fof(f4320,plain,
( spl27_347
<=> ! [X0,X3,X2,X1] :
( sdteqdtlpzmzozddtrp0(sK24(sdtasdt0(X0,X1),X2,X3),X2,X0)
| sz00 = X1
| ~ aInteger0(X1)
| sz00 = X0
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(sK24(sdtasdt0(X0,X1),X2,X3))
| aElementOf0(sK24(sdtasdt0(X0,X1),X2,X3),X3)
| sP8(sdtasdt0(X0,X1),X2,X3)
| ~ aSet0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_347])]) ).
fof(f9566,plain,
( ! [X0,X1] :
( sP8(sz10,X0,X1)
| ~ aInteger0(sK24(sz10,X0,X1))
| aElementOf0(sK24(sz10,X0,X1),X1)
| sdteqdtlpzmzozddtrp0(sK24(sz10,X0,X1),X0,smndt0(sz10))
| ~ aInteger0(smndt0(sz10))
| sz00 = smndt0(sz10)
| ~ aInteger0(X0)
| ~ aSet0(X1) )
| ~ spl27_153
| ~ spl27_160
| ~ spl27_197
| ~ spl27_310
| ~ spl27_347
| ~ spl27_466
| ~ spl27_499 ),
inference(forward_demodulation,[],[f9565,f9012]) ).
fof(f9565,plain,
( ! [X0,X1] :
( ~ aInteger0(sK24(sz10,X0,X1))
| aElementOf0(sK24(sz10,X0,X1),X1)
| sdteqdtlpzmzozddtrp0(sK24(sz10,X0,X1),X0,smndt0(sz10))
| ~ aInteger0(smndt0(sz10))
| sz00 = smndt0(sz10)
| ~ aInteger0(X0)
| sP8(smndt0(smndt0(sz10)),X0,X1)
| ~ aSet0(X1) )
| ~ spl27_153
| ~ spl27_160
| ~ spl27_197
| ~ spl27_310
| ~ spl27_347
| ~ spl27_466
| ~ spl27_499 ),
inference(forward_demodulation,[],[f9564,f9012]) ).
fof(f9564,plain,
( ! [X0,X1] :
( aElementOf0(sK24(sz10,X0,X1),X1)
| sdteqdtlpzmzozddtrp0(sK24(sz10,X0,X1),X0,smndt0(sz10))
| ~ aInteger0(smndt0(sz10))
| sz00 = smndt0(sz10)
| ~ aInteger0(X0)
| ~ aInteger0(sK24(smndt0(smndt0(sz10)),X0,X1))
| sP8(smndt0(smndt0(sz10)),X0,X1)
| ~ aSet0(X1) )
| ~ spl27_153
| ~ spl27_160
| ~ spl27_197
| ~ spl27_310
| ~ spl27_347
| ~ spl27_466
| ~ spl27_499 ),
inference(forward_demodulation,[],[f9563,f9012]) ).
fof(f9563,plain,
( ! [X0,X1] :
( sdteqdtlpzmzozddtrp0(sK24(sz10,X0,X1),X0,smndt0(sz10))
| aElementOf0(sK24(smndt0(smndt0(sz10)),X0,X1),X1)
| ~ aInteger0(smndt0(sz10))
| sz00 = smndt0(sz10)
| ~ aInteger0(X0)
| ~ aInteger0(sK24(smndt0(smndt0(sz10)),X0,X1))
| sP8(smndt0(smndt0(sz10)),X0,X1)
| ~ aSet0(X1) )
| ~ spl27_153
| ~ spl27_160
| ~ spl27_197
| ~ spl27_310
| ~ spl27_347
| ~ spl27_466
| ~ spl27_499 ),
inference(forward_demodulation,[],[f4396,f9012]) ).
fof(f4396,plain,
( ! [X0,X1] :
( sdteqdtlpzmzozddtrp0(sK24(smndt0(smndt0(sz10)),X0,X1),X0,smndt0(sz10))
| aElementOf0(sK24(smndt0(smndt0(sz10)),X0,X1),X1)
| ~ aInteger0(smndt0(sz10))
| sz00 = smndt0(sz10)
| ~ aInteger0(X0)
| ~ aInteger0(sK24(smndt0(smndt0(sz10)),X0,X1))
| sP8(smndt0(smndt0(sz10)),X0,X1)
| ~ aSet0(X1) )
| ~ spl27_197
| ~ spl27_347 ),
inference(duplicate_literal_removal,[],[f4371]) ).
fof(f4371,plain,
( ! [X0,X1] :
( sdteqdtlpzmzozddtrp0(sK24(smndt0(smndt0(sz10)),X0,X1),X0,smndt0(sz10))
| aElementOf0(sK24(smndt0(smndt0(sz10)),X0,X1),X1)
| ~ aInteger0(smndt0(sz10))
| sz00 = smndt0(sz10)
| ~ aInteger0(smndt0(sz10))
| ~ aInteger0(X0)
| ~ aInteger0(sK24(smndt0(smndt0(sz10)),X0,X1))
| sz00 = smndt0(sz10)
| sP8(smndt0(smndt0(sz10)),X0,X1)
| ~ aSet0(X1) )
| ~ spl27_197
| ~ spl27_347 ),
inference(superposition,[],[f4321,f1723]) ).
fof(f1723,plain,
( smndt0(smndt0(sz10)) = sdtasdt0(smndt0(sz10),smndt0(sz10))
| ~ spl27_197 ),
inference(avatar_component_clause,[],[f1721]) ).
fof(f4321,plain,
( ! [X2,X3,X0,X1] :
( sdteqdtlpzmzozddtrp0(sK24(sdtasdt0(X0,X1),X2,X3),X2,X0)
| aElementOf0(sK24(sdtasdt0(X0,X1),X2,X3),X3)
| ~ aInteger0(X1)
| sz00 = X0
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(sK24(sdtasdt0(X0,X1),X2,X3))
| sz00 = X1
| sP8(sdtasdt0(X0,X1),X2,X3)
| ~ aSet0(X3) )
| ~ spl27_347 ),
inference(avatar_component_clause,[],[f4320]) ).
fof(f10697,plain,
( spl27_535
| ~ spl27_12
| ~ spl27_500 ),
inference(avatar_split_clause,[],[f9774,f8366,f407,f10694]) ).
fof(f10694,plain,
( spl27_535
<=> sP1(sdtasdt0(xp,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_535])]) ).
fof(f407,plain,
( spl27_12
<=> ! [X0] :
( sP1(X0)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_12])]) ).
fof(f8366,plain,
( spl27_500
<=> aInteger0(sdtasdt0(xp,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_500])]) ).
fof(f9774,plain,
( sP1(sdtasdt0(xp,xp))
| ~ spl27_12
| ~ spl27_500 ),
inference(resolution,[],[f8368,f408]) ).
fof(f408,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sP1(X0) )
| ~ spl27_12 ),
inference(avatar_component_clause,[],[f407]) ).
fof(f8368,plain,
( aInteger0(sdtasdt0(xp,xp))
| ~ spl27_500 ),
inference(avatar_component_clause,[],[f8366]) ).
fof(f10682,plain,
( spl27_534
| ~ spl27_7
| ~ spl27_149
| ~ spl27_153
| ~ spl27_160
| ~ spl27_310
| ~ spl27_466
| ~ spl27_499
| ~ spl27_529
| ~ spl27_532 ),
inference(avatar_split_clause,[],[f10676,f10554,f9746,f8362,f7424,f3460,f1355,f1285,f1265,f383,f10680]) ).
fof(f10554,plain,
( spl27_532
<=> ! [X0] :
( smndt0(smndt0(smndt0(X0))) = sdtasdt0(smndt0(smndt0(X0)),smndt0(sz10))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_532])]) ).
fof(f10676,plain,
( ! [X0] :
( sdtasdt0(smndt0(smndt0(X0)),sz00) = smndt0(smndt0(smndt0(X0)))
| ~ aInteger0(X0) )
| ~ spl27_7
| ~ spl27_149
| ~ spl27_153
| ~ spl27_160
| ~ spl27_310
| ~ spl27_466
| ~ spl27_499
| ~ spl27_529
| ~ spl27_532 ),
inference(forward_demodulation,[],[f10555,f10523]) ).
fof(f10555,plain,
( ! [X0] :
( ~ aInteger0(X0)
| smndt0(smndt0(smndt0(X0))) = sdtasdt0(smndt0(smndt0(X0)),smndt0(sz10)) )
| ~ spl27_532 ),
inference(avatar_component_clause,[],[f10554]) ).
fof(f10670,plain,
( spl27_533
| ~ spl27_7
| ~ spl27_150
| ~ spl27_153
| ~ spl27_160
| ~ spl27_310
| ~ spl27_466
| ~ spl27_499
| ~ spl27_527
| ~ spl27_532 ),
inference(avatar_split_clause,[],[f10563,f10554,f9541,f8362,f7424,f3460,f1355,f1285,f1270,f383,f10560]) ).
fof(f10563,plain,
( ! [X0] :
( sdtasdt0(smndt0(smndt0(X0)),sz10) = smndt0(smndt0(smndt0(X0)))
| ~ aInteger0(X0) )
| ~ spl27_7
| ~ spl27_150
| ~ spl27_153
| ~ spl27_160
| ~ spl27_310
| ~ spl27_466
| ~ spl27_499
| ~ spl27_527
| ~ spl27_532 ),
inference(forward_demodulation,[],[f10555,f10487]) ).
fof(f10562,plain,
( spl27_533
| ~ spl27_152
| ~ spl27_162
| ~ spl27_478
| ~ spl27_532 ),
inference(avatar_split_clause,[],[f10558,f10554,f7577,f1371,f1280,f10560]) ).
fof(f10558,plain,
( ! [X0] :
( sdtasdt0(smndt0(smndt0(X0)),sz10) = smndt0(smndt0(smndt0(X0)))
| ~ aInteger0(X0) )
| ~ spl27_152
| ~ spl27_162
| ~ spl27_478
| ~ spl27_532 ),
inference(forward_demodulation,[],[f10557,f10299]) ).
fof(f10299,plain,
( sz00 = sz10
| ~ spl27_152
| ~ spl27_162
| ~ spl27_478 ),
inference(forward_demodulation,[],[f9404,f1282]) ).
fof(f10557,plain,
( ! [X0] :
( sdtasdt0(smndt0(smndt0(X0)),sz00) = smndt0(smndt0(smndt0(X0)))
| ~ aInteger0(X0) )
| ~ spl27_478
| ~ spl27_532 ),
inference(forward_demodulation,[],[f10555,f7579]) ).
fof(f10556,plain,
( spl27_532
| ~ spl27_16
| ~ spl27_220 ),
inference(avatar_split_clause,[],[f2086,f2000,f430,f10554]) ).
fof(f2000,plain,
( spl27_220
<=> ! [X0] :
( smndt0(smndt0(X0)) = sdtasdt0(smndt0(X0),smndt0(sz10))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_220])]) ).
fof(f2086,plain,
( ! [X0] :
( smndt0(smndt0(smndt0(X0))) = sdtasdt0(smndt0(smndt0(X0)),smndt0(sz10))
| ~ aInteger0(X0) )
| ~ spl27_16
| ~ spl27_220 ),
inference(resolution,[],[f2001,f431]) ).
fof(f2001,plain,
( ! [X0] :
( ~ aInteger0(X0)
| smndt0(smndt0(X0)) = sdtasdt0(smndt0(X0),smndt0(sz10)) )
| ~ spl27_220 ),
inference(avatar_component_clause,[],[f2000]) ).
fof(f10312,plain,
( spl27_531
| ~ spl27_66
| ~ spl27_86
| ~ spl27_148
| ~ spl27_152
| ~ spl27_153
| ~ spl27_162
| ~ spl27_164
| ~ spl27_169
| ~ spl27_229
| ~ spl27_231
| ~ spl27_292
| ~ spl27_362
| ~ spl27_369
| ~ spl27_478
| ~ spl27_516
| ~ spl27_518 ),
inference(avatar_split_clause,[],[f10196,f9502,f9394,f7577,f4911,f4809,f3082,f2161,f2153,f1427,f1381,f1371,f1285,f1280,f1260,f835,f747,f10310]) ).
fof(f10310,plain,
( spl27_531
<=> ! [X0,X1] :
( xp = sdtasdt0(xp,smndt0(sK16(X0,X1)))
| ~ aElementOf0(X1,X0)
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_531])]) ).
fof(f9502,plain,
( spl27_518
<=> ! [X0,X1] :
( sz00 = sdtasdt0(sz00,smndt0(sK16(X0,X1)))
| ~ aElementOf0(X1,X0)
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_518])]) ).
fof(f10196,plain,
( ! [X0,X1] :
( xp = sdtasdt0(xp,smndt0(sK16(X0,X1)))
| ~ aElementOf0(X1,X0)
| ~ sP2(X0) )
| ~ spl27_66
| ~ spl27_86
| ~ spl27_148
| ~ spl27_152
| ~ spl27_153
| ~ spl27_162
| ~ spl27_164
| ~ spl27_169
| ~ spl27_229
| ~ spl27_231
| ~ spl27_292
| ~ spl27_362
| ~ spl27_369
| ~ spl27_478
| ~ spl27_516
| ~ spl27_518 ),
inference(forward_demodulation,[],[f9505,f9695]) ).
fof(f9505,plain,
( ! [X0,X1] :
( sz10 = sdtasdt0(sz10,smndt0(sK16(X0,X1)))
| ~ aElementOf0(X1,X0)
| ~ sP2(X0) )
| ~ spl27_152
| ~ spl27_162
| ~ spl27_478
| ~ spl27_518 ),
inference(forward_demodulation,[],[f9503,f9444]) ).
fof(f9503,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,X0)
| sz00 = sdtasdt0(sz00,smndt0(sK16(X0,X1)))
| ~ sP2(X0) )
| ~ spl27_518 ),
inference(avatar_component_clause,[],[f9502]) ).
fof(f10095,plain,
( ~ spl27_63
| spl27_478
| spl27_530
| ~ spl27_142
| ~ spl27_153
| ~ spl27_160
| ~ spl27_197
| ~ spl27_310
| ~ spl27_466
| ~ spl27_499 ),
inference(avatar_split_clause,[],[f9559,f8362,f7424,f3460,f1721,f1355,f1285,f1208,f10093,f7577,f692]) ).
fof(f10093,plain,
( spl27_530
<=> ! [X0,X1] :
( ~ sdteqdtlpzmzozddtrp0(X0,X1,sz10)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdteqdtlpzmzozddtrp0(X0,X1,smndt0(sz10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_530])]) ).
fof(f1208,plain,
( spl27_142
<=> ! [X0,X3,X2,X1] :
( sdteqdtlpzmzozddtrp0(X0,X1,X3)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,sdtasdt0(X2,X3))
| sz00 = X3
| ~ aInteger0(X3)
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_142])]) ).
fof(f9559,plain,
( ! [X0,X1] :
( ~ sdteqdtlpzmzozddtrp0(X0,X1,sz10)
| sdteqdtlpzmzozddtrp0(X0,X1,smndt0(sz10))
| sz00 = smndt0(sz10)
| ~ aInteger0(smndt0(sz10))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl27_142
| ~ spl27_153
| ~ spl27_160
| ~ spl27_197
| ~ spl27_310
| ~ spl27_466
| ~ spl27_499 ),
inference(forward_demodulation,[],[f1797,f9012]) ).
fof(f1797,plain,
( ! [X0,X1] :
( ~ sdteqdtlpzmzozddtrp0(X0,X1,smndt0(smndt0(sz10)))
| sdteqdtlpzmzozddtrp0(X0,X1,smndt0(sz10))
| sz00 = smndt0(sz10)
| ~ aInteger0(smndt0(sz10))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl27_142
| ~ spl27_197 ),
inference(duplicate_literal_removal,[],[f1788]) ).
fof(f1788,plain,
( ! [X0,X1] :
( ~ sdteqdtlpzmzozddtrp0(X0,X1,smndt0(smndt0(sz10)))
| sdteqdtlpzmzozddtrp0(X0,X1,smndt0(sz10))
| sz00 = smndt0(sz10)
| ~ aInteger0(smndt0(sz10))
| sz00 = smndt0(sz10)
| ~ aInteger0(smndt0(sz10))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl27_142
| ~ spl27_197 ),
inference(superposition,[],[f1209,f1723]) ).
fof(f1209,plain,
( ! [X2,X3,X0,X1] :
( ~ sdteqdtlpzmzozddtrp0(X0,X1,sdtasdt0(X2,X3))
| sdteqdtlpzmzozddtrp0(X0,X1,X3)
| sz00 = X3
| ~ aInteger0(X3)
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl27_142 ),
inference(avatar_component_clause,[],[f1208]) ).
fof(f9748,plain,
( spl27_529
| ~ spl27_478
| ~ spl27_526 ),
inference(avatar_split_clause,[],[f9538,f9535,f7577,f9746]) ).
fof(f9535,plain,
( spl27_526
<=> ! [X0] :
( smndt0(smndt0(smndt0(X0))) = sdtasdt0(smndt0(sz10),smndt0(smndt0(X0)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_526])]) ).
fof(f9538,plain,
( ! [X0] :
( sdtasdt0(sz00,smndt0(smndt0(X0))) = smndt0(smndt0(smndt0(X0)))
| ~ aInteger0(X0) )
| ~ spl27_478
| ~ spl27_526 ),
inference(forward_demodulation,[],[f9536,f7579]) ).
fof(f9536,plain,
( ! [X0] :
( ~ aInteger0(X0)
| smndt0(smndt0(smndt0(X0))) = sdtasdt0(smndt0(sz10),smndt0(smndt0(X0))) )
| ~ spl27_526 ),
inference(avatar_component_clause,[],[f9535]) ).
fof(f9595,plain,
( spl27_478
| ~ spl27_63
| spl27_528
| ~ spl27_98
| ~ spl27_153
| ~ spl27_160
| ~ spl27_197
| ~ spl27_310
| ~ spl27_466
| ~ spl27_499 ),
inference(avatar_split_clause,[],[f9558,f8362,f7424,f3460,f1721,f1355,f1285,f904,f9592,f692,f7577]) ).
fof(f9592,plain,
( spl27_528
<=> sP0(sz10,smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_528])]) ).
fof(f9558,plain,
( sP0(sz10,smndt0(sz10))
| ~ aInteger0(smndt0(sz10))
| sz00 = smndt0(sz10)
| ~ spl27_98
| ~ spl27_153
| ~ spl27_160
| ~ spl27_197
| ~ spl27_310
| ~ spl27_466
| ~ spl27_499 ),
inference(forward_demodulation,[],[f1794,f9012]) ).
fof(f1794,plain,
( sP0(smndt0(smndt0(sz10)),smndt0(sz10))
| ~ aInteger0(smndt0(sz10))
| sz00 = smndt0(sz10)
| ~ spl27_98
| ~ spl27_197 ),
inference(duplicate_literal_removal,[],[f1791]) ).
fof(f1791,plain,
( sP0(smndt0(smndt0(sz10)),smndt0(sz10))
| ~ aInteger0(smndt0(sz10))
| sz00 = smndt0(sz10)
| ~ aInteger0(smndt0(sz10))
| ~ spl27_98
| ~ spl27_197 ),
inference(superposition,[],[f905,f1723]) ).
fof(f9543,plain,
( spl27_527
| ~ spl27_152
| ~ spl27_162
| ~ spl27_478
| ~ spl27_526 ),
inference(avatar_split_clause,[],[f9539,f9535,f7577,f1371,f1280,f9541]) ).
fof(f9539,plain,
( ! [X0] :
( sdtasdt0(sz10,smndt0(smndt0(X0))) = smndt0(smndt0(smndt0(X0)))
| ~ aInteger0(X0) )
| ~ spl27_152
| ~ spl27_162
| ~ spl27_478
| ~ spl27_526 ),
inference(forward_demodulation,[],[f9538,f9444]) ).
fof(f9537,plain,
( spl27_526
| ~ spl27_16
| ~ spl27_219 ),
inference(avatar_split_clause,[],[f2075,f1996,f430,f9535]) ).
fof(f1996,plain,
( spl27_219
<=> ! [X0] :
( smndt0(smndt0(X0)) = sdtasdt0(smndt0(sz10),smndt0(X0))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_219])]) ).
fof(f2075,plain,
( ! [X0] :
( smndt0(smndt0(smndt0(X0))) = sdtasdt0(smndt0(sz10),smndt0(smndt0(X0)))
| ~ aInteger0(X0) )
| ~ spl27_16
| ~ spl27_219 ),
inference(resolution,[],[f1997,f431]) ).
fof(f1997,plain,
( ! [X0] :
( ~ aInteger0(X0)
| smndt0(smndt0(X0)) = sdtasdt0(smndt0(sz10),smndt0(X0)) )
| ~ spl27_219 ),
inference(avatar_component_clause,[],[f1996]) ).
fof(f9533,plain,
( spl27_525
| ~ spl27_49
| ~ spl27_198 ),
inference(avatar_split_clause,[],[f1806,f1726,f602,f9531]) ).
fof(f9531,plain,
( spl27_525
<=> ! [X0] :
( ~ aElementOf0(sK22(stldt0(X0)),X0)
| ~ sP5(X0)
| sP7(stldt0(X0))
| ~ aSet0(stldt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_525])]) ).
fof(f602,plain,
( spl27_49
<=> ! [X0] :
( sP7(X0)
| aElementOf0(sK22(X0),X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_49])]) ).
fof(f1726,plain,
( spl27_198
<=> ! [X0,X1] :
( ~ aElementOf0(X0,stldt0(X1))
| ~ aElementOf0(X0,X1)
| ~ sP5(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_198])]) ).
fof(f1806,plain,
( ! [X0] :
( ~ aElementOf0(sK22(stldt0(X0)),X0)
| ~ sP5(X0)
| sP7(stldt0(X0))
| ~ aSet0(stldt0(X0)) )
| ~ spl27_49
| ~ spl27_198 ),
inference(resolution,[],[f1727,f603]) ).
fof(f603,plain,
( ! [X0] :
( aElementOf0(sK22(X0),X0)
| sP7(X0)
| ~ aSet0(X0) )
| ~ spl27_49 ),
inference(avatar_component_clause,[],[f602]) ).
fof(f1727,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,stldt0(X1))
| ~ aElementOf0(X0,X1)
| ~ sP5(X1) )
| ~ spl27_198 ),
inference(avatar_component_clause,[],[f1726]) ).
fof(f9529,plain,
( spl27_524
| ~ spl27_118
| ~ spl27_183 ),
inference(avatar_split_clause,[],[f1618,f1525,f1022,f9527]) ).
fof(f9527,plain,
( spl27_524
<=> ! [X2,X0,X1] :
( aInteger0(sK25(X0,X1,sbsmnsldt0(X2)))
| ~ sP7(X2)
| sP10(X0,X1,sbsmnsldt0(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_524])]) ).
fof(f1022,plain,
( spl27_118
<=> ! [X2,X0,X1] :
( sP10(X0,X1,X2)
| aInteger0(sK25(X0,X1,X2))
| aElementOf0(sK25(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_118])]) ).
fof(f1618,plain,
( ! [X2,X0,X1] :
( aInteger0(sK25(X0,X1,sbsmnsldt0(X2)))
| ~ sP7(X2)
| sP10(X0,X1,sbsmnsldt0(X2)) )
| ~ spl27_118
| ~ spl27_183 ),
inference(duplicate_literal_removal,[],[f1610]) ).
fof(f1610,plain,
( ! [X2,X0,X1] :
( aInteger0(sK25(X0,X1,sbsmnsldt0(X2)))
| ~ sP7(X2)
| aInteger0(sK25(X0,X1,sbsmnsldt0(X2)))
| sP10(X0,X1,sbsmnsldt0(X2)) )
| ~ spl27_118
| ~ spl27_183 ),
inference(resolution,[],[f1526,f1023]) ).
fof(f1023,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK25(X0,X1,X2),X2)
| aInteger0(sK25(X0,X1,X2))
| sP10(X0,X1,X2) )
| ~ spl27_118 ),
inference(avatar_component_clause,[],[f1022]) ).
fof(f9525,plain,
( spl27_523
| ~ spl27_119
| ~ spl27_183 ),
inference(avatar_split_clause,[],[f1617,f1525,f1026,f9523]) ).
fof(f9523,plain,
( spl27_523
<=> ! [X2,X0,X1] :
( aInteger0(sK26(X0,X1,sbsmnsldt0(X2)))
| ~ sP7(X2)
| sP11(X0,X1,sbsmnsldt0(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_523])]) ).
fof(f1026,plain,
( spl27_119
<=> ! [X2,X0,X1] :
( sP11(X0,X1,X2)
| aInteger0(sK26(X0,X1,X2))
| aElementOf0(sK26(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_119])]) ).
fof(f1617,plain,
( ! [X2,X0,X1] :
( aInteger0(sK26(X0,X1,sbsmnsldt0(X2)))
| ~ sP7(X2)
| sP11(X0,X1,sbsmnsldt0(X2)) )
| ~ spl27_119
| ~ spl27_183 ),
inference(duplicate_literal_removal,[],[f1614]) ).
fof(f1614,plain,
( ! [X2,X0,X1] :
( aInteger0(sK26(X0,X1,sbsmnsldt0(X2)))
| ~ sP7(X2)
| aInteger0(sK26(X0,X1,sbsmnsldt0(X2)))
| sP11(X0,X1,sbsmnsldt0(X2)) )
| ~ spl27_119
| ~ spl27_183 ),
inference(resolution,[],[f1526,f1027]) ).
fof(f1027,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK26(X0,X1,X2),X2)
| aInteger0(sK26(X0,X1,X2))
| sP11(X0,X1,X2) )
| ~ spl27_119 ),
inference(avatar_component_clause,[],[f1026]) ).
fof(f9521,plain,
( spl27_522
| ~ spl27_59
| ~ spl27_183 ),
inference(avatar_split_clause,[],[f1605,f1525,f676,f9519]) ).
fof(f9519,plain,
( spl27_522
<=> ! [X0] :
( aInteger0(sK23(sbsmnsldt0(X0)))
| ~ sP7(X0)
| isOpen0(sbsmnsldt0(sbsmnsldt0(X0)))
| ~ aSet0(sbsmnsldt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_522])]) ).
fof(f676,plain,
( spl27_59
<=> ! [X0] :
( isOpen0(sbsmnsldt0(X0))
| aElementOf0(sK23(X0),X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_59])]) ).
fof(f1605,plain,
( ! [X0] :
( aInteger0(sK23(sbsmnsldt0(X0)))
| ~ sP7(X0)
| isOpen0(sbsmnsldt0(sbsmnsldt0(X0)))
| ~ aSet0(sbsmnsldt0(X0)) )
| ~ spl27_59
| ~ spl27_183 ),
inference(resolution,[],[f1526,f677]) ).
fof(f677,plain,
( ! [X0] :
( aElementOf0(sK23(X0),X0)
| isOpen0(sbsmnsldt0(X0))
| ~ aSet0(X0) )
| ~ spl27_59 ),
inference(avatar_component_clause,[],[f676]) ).
fof(f9517,plain,
( spl27_521
| ~ spl27_118
| ~ spl27_182 ),
inference(avatar_split_clause,[],[f1593,f1521,f1022,f9515]) ).
fof(f9515,plain,
( spl27_521
<=> ! [X2,X0,X1] :
( aInteger0(sK25(X0,X1,stldt0(X2)))
| ~ sP5(X2)
| sP10(X0,X1,stldt0(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_521])]) ).
fof(f1593,plain,
( ! [X2,X0,X1] :
( aInteger0(sK25(X0,X1,stldt0(X2)))
| ~ sP5(X2)
| sP10(X0,X1,stldt0(X2)) )
| ~ spl27_118
| ~ spl27_182 ),
inference(duplicate_literal_removal,[],[f1584]) ).
fof(f1584,plain,
( ! [X2,X0,X1] :
( aInteger0(sK25(X0,X1,stldt0(X2)))
| ~ sP5(X2)
| aInteger0(sK25(X0,X1,stldt0(X2)))
| sP10(X0,X1,stldt0(X2)) )
| ~ spl27_118
| ~ spl27_182 ),
inference(resolution,[],[f1522,f1023]) ).
fof(f9513,plain,
( spl27_520
| ~ spl27_119
| ~ spl27_182 ),
inference(avatar_split_clause,[],[f1592,f1521,f1026,f9511]) ).
fof(f9511,plain,
( spl27_520
<=> ! [X2,X0,X1] :
( aInteger0(sK26(X0,X1,stldt0(X2)))
| ~ sP5(X2)
| sP11(X0,X1,stldt0(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_520])]) ).
fof(f1592,plain,
( ! [X2,X0,X1] :
( aInteger0(sK26(X0,X1,stldt0(X2)))
| ~ sP5(X2)
| sP11(X0,X1,stldt0(X2)) )
| ~ spl27_119
| ~ spl27_182 ),
inference(duplicate_literal_removal,[],[f1588]) ).
fof(f1588,plain,
( ! [X2,X0,X1] :
( aInteger0(sK26(X0,X1,stldt0(X2)))
| ~ sP5(X2)
| aInteger0(sK26(X0,X1,stldt0(X2)))
| sP11(X0,X1,stldt0(X2)) )
| ~ spl27_119
| ~ spl27_182 ),
inference(resolution,[],[f1522,f1027]) ).
fof(f9509,plain,
( spl27_519
| ~ spl27_59
| ~ spl27_182 ),
inference(avatar_split_clause,[],[f1579,f1521,f676,f9507]) ).
fof(f9507,plain,
( spl27_519
<=> ! [X0] :
( aInteger0(sK23(stldt0(X0)))
| ~ sP5(X0)
| isOpen0(sbsmnsldt0(stldt0(X0)))
| ~ aSet0(stldt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_519])]) ).
fof(f1579,plain,
( ! [X0] :
( aInteger0(sK23(stldt0(X0)))
| ~ sP5(X0)
| isOpen0(sbsmnsldt0(stldt0(X0)))
| ~ aSet0(stldt0(X0)) )
| ~ spl27_59
| ~ spl27_182 ),
inference(resolution,[],[f1522,f677]) ).
fof(f9504,plain,
( spl27_518
| ~ spl27_56
| ~ spl27_181 ),
inference(avatar_split_clause,[],[f1564,f1517,f664,f9502]) ).
fof(f664,plain,
( spl27_56
<=> ! [X0,X3] :
( aInteger0(sK16(X0,X3))
| ~ aElementOf0(X3,X0)
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_56])]) ).
fof(f1517,plain,
( spl27_181
<=> ! [X0] :
( sz00 = sdtasdt0(sz00,smndt0(X0))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_181])]) ).
fof(f1564,plain,
( ! [X0,X1] :
( sz00 = sdtasdt0(sz00,smndt0(sK16(X0,X1)))
| ~ aElementOf0(X1,X0)
| ~ sP2(X0) )
| ~ spl27_56
| ~ spl27_181 ),
inference(resolution,[],[f1518,f665]) ).
fof(f665,plain,
( ! [X3,X0] :
( aInteger0(sK16(X0,X3))
| ~ aElementOf0(X3,X0)
| ~ sP2(X0) )
| ~ spl27_56 ),
inference(avatar_component_clause,[],[f664]) ).
fof(f1518,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sz00,smndt0(X0)) )
| ~ spl27_181 ),
inference(avatar_component_clause,[],[f1517]) ).
fof(f9499,plain,
( spl27_517
| ~ spl27_56
| ~ spl27_180 ),
inference(avatar_split_clause,[],[f1554,f1513,f664,f9497]) ).
fof(f1513,plain,
( spl27_180
<=> ! [X0] :
( sz00 = sdtasdt0(smndt0(X0),sz00)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_180])]) ).
fof(f1554,plain,
( ! [X0,X1] :
( sz00 = sdtasdt0(smndt0(sK16(X0,X1)),sz00)
| ~ aElementOf0(X1,X0)
| ~ sP2(X0) )
| ~ spl27_56
| ~ spl27_180 ),
inference(resolution,[],[f1514,f665]) ).
fof(f1514,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(smndt0(X0),sz00) )
| ~ spl27_180 ),
inference(avatar_component_clause,[],[f1513]) ).
fof(f9397,plain,
( ~ spl27_63
| spl27_478
| ~ spl27_8
| spl27_516
| ~ spl27_98
| ~ spl27_165 ),
inference(avatar_split_clause,[],[f1410,f1386,f904,f9394,f388,f7577,f692]) ).
fof(f1386,plain,
( spl27_165
<=> sz00 = sdtasdt0(smndt0(sz10),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_165])]) ).
fof(f1410,plain,
( sP0(sz00,smndt0(sz10))
| ~ aInteger0(sz00)
| sz00 = smndt0(sz10)
| ~ aInteger0(smndt0(sz10))
| ~ spl27_98
| ~ spl27_165 ),
inference(superposition,[],[f905,f1388]) ).
fof(f1388,plain,
( sz00 = sdtasdt0(smndt0(sz10),sz00)
| ~ spl27_165 ),
inference(avatar_component_clause,[],[f1386]) ).
fof(f9392,plain,
( spl27_515
| ~ spl27_12
| ~ spl27_499 ),
inference(avatar_split_clause,[],[f8795,f8362,f407,f9389]) ).
fof(f9389,plain,
( spl27_515
<=> sP1(smndt0(xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_515])]) ).
fof(f8795,plain,
( sP1(smndt0(xp))
| ~ spl27_12
| ~ spl27_499 ),
inference(resolution,[],[f8363,f408]) ).
fof(f8700,plain,
( spl27_514
| ~ spl27_4
| ~ spl27_93
| ~ spl27_311 ),
inference(avatar_split_clause,[],[f3656,f3464,f883,f368,f8698]) ).
fof(f8698,plain,
( spl27_514
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,xp),sz10) = sdtpldt0(sdtasdt0(X0,sz10),xp)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_514])]) ).
fof(f883,plain,
( spl27_93
<=> xp = sdtasdt0(xp,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_93])]) ).
fof(f3656,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,xp),sz10) = sdtpldt0(sdtasdt0(X0,sz10),xp)
| ~ aInteger0(X0) )
| ~ spl27_4
| ~ spl27_93
| ~ spl27_311 ),
inference(forward_demodulation,[],[f3650,f885]) ).
fof(f885,plain,
( xp = sdtasdt0(xp,sz10)
| ~ spl27_93 ),
inference(avatar_component_clause,[],[f883]) ).
fof(f3650,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,xp),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(xp,sz10))
| ~ aInteger0(X0) )
| ~ spl27_4
| ~ spl27_311 ),
inference(resolution,[],[f3465,f370]) ).
fof(f8696,plain,
( spl27_513
| ~ spl27_4
| ~ spl27_82
| ~ spl27_309 ),
inference(avatar_split_clause,[],[f3643,f3456,f812,f368,f8694]) ).
fof(f8694,plain,
( spl27_513
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,xp),sz00) = sdtpldt0(sdtasdt0(X0,sz00),sz00)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_513])]) ).
fof(f812,plain,
( spl27_82
<=> sz00 = sdtasdt0(xp,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_82])]) ).
fof(f3643,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,xp),sz00) = sdtpldt0(sdtasdt0(X0,sz00),sz00)
| ~ aInteger0(X0) )
| ~ spl27_4
| ~ spl27_82
| ~ spl27_309 ),
inference(forward_demodulation,[],[f3637,f814]) ).
fof(f814,plain,
( sz00 = sdtasdt0(xp,sz00)
| ~ spl27_82 ),
inference(avatar_component_clause,[],[f812]) ).
fof(f3637,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,xp),sz00) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(xp,sz00))
| ~ aInteger0(X0) )
| ~ spl27_4
| ~ spl27_309 ),
inference(resolution,[],[f3457,f370]) ).
fof(f8692,plain,
( spl27_512
| ~ spl27_4
| ~ spl27_102
| ~ spl27_307 ),
inference(avatar_split_clause,[],[f3603,f3448,f945,f368,f8690]) ).
fof(f8690,plain,
( spl27_512
<=> ! [X0] :
( sdtasdt0(X0,xp) = sdtpldt0(sdtasdt0(X0,xp),sdtasdt0(X0,sz00))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_512])]) ).
fof(f945,plain,
( spl27_102
<=> xp = sdtpldt0(xp,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_102])]) ).
fof(f3603,plain,
( ! [X0] :
( sdtasdt0(X0,xp) = sdtpldt0(sdtasdt0(X0,xp),sdtasdt0(X0,sz00))
| ~ aInteger0(X0) )
| ~ spl27_4
| ~ spl27_102
| ~ spl27_307 ),
inference(forward_demodulation,[],[f3597,f947]) ).
fof(f947,plain,
( xp = sdtpldt0(xp,sz00)
| ~ spl27_102 ),
inference(avatar_component_clause,[],[f945]) ).
fof(f3597,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(xp,sz00)) = sdtpldt0(sdtasdt0(X0,xp),sdtasdt0(X0,sz00))
| ~ aInteger0(X0) )
| ~ spl27_4
| ~ spl27_307 ),
inference(resolution,[],[f3449,f370]) ).
fof(f8688,plain,
( spl27_511
| ~ spl27_4
| ~ spl27_170
| ~ spl27_306 ),
inference(avatar_split_clause,[],[f3590,f3444,f1432,f368,f8686]) ).
fof(f8686,plain,
( spl27_511
<=> ! [X0] :
( sdtasdt0(X0,smndt0(xp)) = sdtasdt0(sdtasdt0(X0,xp),smndt0(sz10))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_511])]) ).
fof(f1432,plain,
( spl27_170
<=> smndt0(xp) = sdtasdt0(xp,smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_170])]) ).
fof(f3590,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(xp)) = sdtasdt0(sdtasdt0(X0,xp),smndt0(sz10))
| ~ aInteger0(X0) )
| ~ spl27_4
| ~ spl27_170
| ~ spl27_306 ),
inference(forward_demodulation,[],[f3584,f1434]) ).
fof(f1434,plain,
( smndt0(xp) = sdtasdt0(xp,smndt0(sz10))
| ~ spl27_170 ),
inference(avatar_component_clause,[],[f1432]) ).
fof(f3584,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,xp),smndt0(sz10)) = sdtasdt0(X0,sdtasdt0(xp,smndt0(sz10)))
| ~ aInteger0(X0) )
| ~ spl27_4
| ~ spl27_306 ),
inference(resolution,[],[f3445,f370]) ).
fof(f8684,plain,
( spl27_510
| ~ spl27_7
| ~ spl27_101
| ~ spl27_298 ),
inference(avatar_split_clause,[],[f3407,f3382,f918,f383,f8682]) ).
fof(f8682,plain,
( spl27_510
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz10),xp) = sdtpldt0(sdtasdt0(X0,xp),xp)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_510])]) ).
fof(f918,plain,
( spl27_101
<=> xp = sdtasdt0(sz10,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_101])]) ).
fof(f3382,plain,
( spl27_298
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xp) = sdtpldt0(sdtasdt0(X0,xp),sdtasdt0(X1,xp))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_298])]) ).
fof(f3407,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz10),xp) = sdtpldt0(sdtasdt0(X0,xp),xp)
| ~ aInteger0(X0) )
| ~ spl27_7
| ~ spl27_101
| ~ spl27_298 ),
inference(forward_demodulation,[],[f3398,f920]) ).
fof(f920,plain,
( xp = sdtasdt0(sz10,xp)
| ~ spl27_101 ),
inference(avatar_component_clause,[],[f918]) ).
fof(f3398,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz10),xp) = sdtpldt0(sdtasdt0(X0,xp),sdtasdt0(sz10,xp))
| ~ aInteger0(X0) )
| ~ spl27_7
| ~ spl27_298 ),
inference(resolution,[],[f3383,f385]) ).
fof(f3383,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sdtasdt0(sdtpldt0(X0,X1),xp) = sdtpldt0(sdtasdt0(X0,xp),sdtasdt0(X1,xp))
| ~ aInteger0(X0) )
| ~ spl27_298 ),
inference(avatar_component_clause,[],[f3382]) ).
fof(f8680,plain,
( spl27_509
| ~ spl27_8
| ~ spl27_86
| ~ spl27_298 ),
inference(avatar_split_clause,[],[f3406,f3382,f835,f388,f8678]) ).
fof(f8678,plain,
( spl27_509
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz00),xp) = sdtpldt0(sdtasdt0(X0,xp),sz00)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_509])]) ).
fof(f3406,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz00),xp) = sdtpldt0(sdtasdt0(X0,xp),sz00)
| ~ aInteger0(X0) )
| ~ spl27_8
| ~ spl27_86
| ~ spl27_298 ),
inference(forward_demodulation,[],[f3397,f837]) ).
fof(f3397,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz00),xp) = sdtpldt0(sdtasdt0(X0,xp),sdtasdt0(sz00,xp))
| ~ aInteger0(X0) )
| ~ spl27_8
| ~ spl27_298 ),
inference(resolution,[],[f3383,f390]) ).
fof(f8676,plain,
( ~ spl27_4
| ~ spl27_16
| spl27_499 ),
inference(avatar_split_clause,[],[f8595,f8362,f430,f368]) ).
fof(f8595,plain,
( ~ aInteger0(xp)
| ~ spl27_16
| spl27_499 ),
inference(resolution,[],[f8364,f431]) ).
fof(f8364,plain,
( ~ aInteger0(smndt0(xp))
| spl27_499 ),
inference(avatar_component_clause,[],[f8362]) ).
fof(f8675,plain,
( spl27_508
| ~ spl27_8
| ~ spl27_108
| ~ spl27_297 ),
inference(avatar_split_clause,[],[f3394,f3378,f978,f388,f8673]) ).
fof(f8673,plain,
( spl27_508
<=> ! [X0] :
( sdtasdt0(X0,xp) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,xp))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_508])]) ).
fof(f3378,plain,
( spl27_297
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xp)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xp))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_297])]) ).
fof(f3394,plain,
( ! [X0] :
( sdtasdt0(X0,xp) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,xp))
| ~ aInteger0(X0) )
| ~ spl27_8
| ~ spl27_108
| ~ spl27_297 ),
inference(forward_demodulation,[],[f3385,f980]) ).
fof(f3385,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sz00,xp)) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,xp))
| ~ aInteger0(X0) )
| ~ spl27_8
| ~ spl27_297 ),
inference(resolution,[],[f3379,f390]) ).
fof(f3379,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sdtasdt0(X0,sdtpldt0(X1,xp)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xp))
| ~ aInteger0(X0) )
| ~ spl27_297 ),
inference(avatar_component_clause,[],[f3378]) ).
fof(f8671,plain,
( spl27_507
| ~ spl27_4
| ~ spl27_276 ),
inference(avatar_split_clause,[],[f2924,f2845,f368,f8669]) ).
fof(f8669,plain,
( spl27_507
<=> ! [X0] :
( smndt0(sdtasdt0(X0,xp)) = sdtasdt0(sdtasdt0(X0,xp),smndt0(sz10))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_507])]) ).
fof(f2924,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,xp)) = sdtasdt0(sdtasdt0(X0,xp),smndt0(sz10))
| ~ aInteger0(X0) )
| ~ spl27_4
| ~ spl27_276 ),
inference(resolution,[],[f2846,f370]) ).
fof(f8667,plain,
( spl27_506
| ~ spl27_4
| ~ spl27_275 ),
inference(avatar_split_clause,[],[f2915,f2841,f368,f8665]) ).
fof(f8665,plain,
( spl27_506
<=> ! [X0] :
( smndt0(sdtpldt0(X0,xp)) = sdtasdt0(sdtpldt0(X0,xp),smndt0(sz10))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_506])]) ).
fof(f2915,plain,
( ! [X0] :
( smndt0(sdtpldt0(X0,xp)) = sdtasdt0(sdtpldt0(X0,xp),smndt0(sz10))
| ~ aInteger0(X0) )
| ~ spl27_4
| ~ spl27_275 ),
inference(resolution,[],[f2842,f370]) ).
fof(f8663,plain,
( spl27_505
| ~ spl27_4
| ~ spl27_274 ),
inference(avatar_split_clause,[],[f2906,f2837,f368,f8661]) ).
fof(f8661,plain,
( spl27_505
<=> ! [X0] :
( smndt0(sdtasdt0(X0,xp)) = sdtasdt0(smndt0(sz10),sdtasdt0(X0,xp))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_505])]) ).
fof(f2906,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,xp)) = sdtasdt0(smndt0(sz10),sdtasdt0(X0,xp))
| ~ aInteger0(X0) )
| ~ spl27_4
| ~ spl27_274 ),
inference(resolution,[],[f2838,f370]) ).
fof(f8659,plain,
( spl27_504
| ~ spl27_4
| ~ spl27_273 ),
inference(avatar_split_clause,[],[f2897,f2833,f368,f8657]) ).
fof(f8657,plain,
( spl27_504
<=> ! [X0] :
( smndt0(sdtpldt0(X0,xp)) = sdtasdt0(smndt0(sz10),sdtpldt0(X0,xp))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_504])]) ).
fof(f2897,plain,
( ! [X0] :
( smndt0(sdtpldt0(X0,xp)) = sdtasdt0(smndt0(sz10),sdtpldt0(X0,xp))
| ~ aInteger0(X0) )
| ~ spl27_4
| ~ spl27_273 ),
inference(resolution,[],[f2834,f370]) ).
fof(f8655,plain,
( spl27_503
| ~ spl27_63
| ~ spl27_169
| ~ spl27_271 ),
inference(avatar_split_clause,[],[f2831,f2801,f1427,f692,f8653]) ).
fof(f8653,plain,
( spl27_503
<=> ! [X0] :
( sdtasdt0(X0,smndt0(xp)) = sdtasdt0(sdtasdt0(X0,smndt0(sz10)),xp)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_503])]) ).
fof(f2801,plain,
( spl27_271
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,xp)) = sdtasdt0(sdtasdt0(X0,X1),xp)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_271])]) ).
fof(f2831,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(xp)) = sdtasdt0(sdtasdt0(X0,smndt0(sz10)),xp)
| ~ aInteger0(X0) )
| ~ spl27_63
| ~ spl27_169
| ~ spl27_271 ),
inference(forward_demodulation,[],[f2823,f1429]) ).
fof(f2823,plain,
( ! [X0] :
( sdtasdt0(X0,sdtasdt0(smndt0(sz10),xp)) = sdtasdt0(sdtasdt0(X0,smndt0(sz10)),xp)
| ~ aInteger0(X0) )
| ~ spl27_63
| ~ spl27_271 ),
inference(resolution,[],[f2802,f693]) ).
fof(f2802,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sdtasdt0(X0,sdtasdt0(X1,xp)) = sdtasdt0(sdtasdt0(X0,X1),xp)
| ~ aInteger0(X0) )
| ~ spl27_271 ),
inference(avatar_component_clause,[],[f2801]) ).
fof(f8651,plain,
( spl27_502
| ~ spl27_4
| ~ spl27_271 ),
inference(avatar_split_clause,[],[f2826,f2801,f368,f8649]) ).
fof(f8649,plain,
( spl27_502
<=> ! [X0] :
( sdtasdt0(X0,sdtasdt0(xp,xp)) = sdtasdt0(sdtasdt0(X0,xp),xp)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_502])]) ).
fof(f2826,plain,
( ! [X0] :
( sdtasdt0(X0,sdtasdt0(xp,xp)) = sdtasdt0(sdtasdt0(X0,xp),xp)
| ~ aInteger0(X0) )
| ~ spl27_4
| ~ spl27_271 ),
inference(resolution,[],[f2802,f370]) ).
fof(f8647,plain,
( spl27_501
| ~ spl27_4
| ~ spl27_270 ),
inference(avatar_split_clause,[],[f2810,f2797,f368,f8645]) ).
fof(f8645,plain,
( spl27_501
<=> ! [X0] :
( sdtpldt0(X0,sdtpldt0(xp,xp)) = sdtpldt0(sdtpldt0(X0,xp),xp)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_501])]) ).
fof(f2797,plain,
( spl27_270
<=> ! [X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,xp)) = sdtpldt0(sdtpldt0(X0,X1),xp)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_270])]) ).
fof(f2810,plain,
( ! [X0] :
( sdtpldt0(X0,sdtpldt0(xp,xp)) = sdtpldt0(sdtpldt0(X0,xp),xp)
| ~ aInteger0(X0) )
| ~ spl27_4
| ~ spl27_270 ),
inference(resolution,[],[f2798,f370]) ).
fof(f2798,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sdtpldt0(X0,sdtpldt0(X1,xp)) = sdtpldt0(sdtpldt0(X0,X1),xp)
| ~ aInteger0(X0) )
| ~ spl27_270 ),
inference(avatar_component_clause,[],[f2797]) ).
fof(f8369,plain,
( ~ spl27_499
| spl27_500
| ~ spl27_53
| ~ spl27_472 ),
inference(avatar_split_clause,[],[f7721,f7552,f619,f8366,f8362]) ).
fof(f619,plain,
( spl27_53
<=> ! [X0,X1] :
( aInteger0(sdtpldt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_53])]) ).
fof(f7721,plain,
( aInteger0(sdtasdt0(xp,xp))
| ~ aInteger0(smndt0(xp))
| ~ spl27_53
| ~ spl27_472 ),
inference(duplicate_literal_removal,[],[f7720]) ).
fof(f7720,plain,
( aInteger0(sdtasdt0(xp,xp))
| ~ aInteger0(smndt0(xp))
| ~ aInteger0(smndt0(xp))
| ~ spl27_53
| ~ spl27_472 ),
inference(superposition,[],[f620,f7554]) ).
fof(f620,plain,
( ! [X0,X1] :
( aInteger0(sdtpldt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl27_53 ),
inference(avatar_component_clause,[],[f619]) ).
fof(f7672,plain,
( spl27_498
| ~ spl27_8
| ~ spl27_166
| ~ spl27_306 ),
inference(avatar_split_clause,[],[f3587,f3444,f1391,f388,f7670]) ).
fof(f7670,plain,
( spl27_498
<=> ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sz00),smndt0(sz10))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_498])]) ).
fof(f1391,plain,
( spl27_166
<=> sz00 = sdtasdt0(sz00,smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_166])]) ).
fof(f3587,plain,
( ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sz00),smndt0(sz10))
| ~ aInteger0(X0) )
| ~ spl27_8
| ~ spl27_166
| ~ spl27_306 ),
inference(forward_demodulation,[],[f3578,f1393]) ).
fof(f1393,plain,
( sz00 = sdtasdt0(sz00,smndt0(sz10))
| ~ spl27_166 ),
inference(avatar_component_clause,[],[f1391]) ).
fof(f3578,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sz00),smndt0(sz10)) = sdtasdt0(X0,sdtasdt0(sz00,smndt0(sz10)))
| ~ aInteger0(X0) )
| ~ spl27_8
| ~ spl27_306 ),
inference(resolution,[],[f3445,f390]) ).
fof(f7668,plain,
( spl27_497
| ~ spl27_7
| ~ spl27_162
| ~ spl27_305 ),
inference(avatar_split_clause,[],[f3576,f3440,f1371,f383,f7666]) ).
fof(f7666,plain,
( spl27_497
<=> ! [X0] :
( sdtpldt0(X0,sz00) = sdtpldt0(sdtpldt0(X0,sz10),smndt0(sz10))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_497])]) ).
fof(f3576,plain,
( ! [X0] :
( sdtpldt0(X0,sz00) = sdtpldt0(sdtpldt0(X0,sz10),smndt0(sz10))
| ~ aInteger0(X0) )
| ~ spl27_7
| ~ spl27_162
| ~ spl27_305 ),
inference(forward_demodulation,[],[f3567,f1373]) ).
fof(f3567,plain,
( ! [X0] :
( sdtpldt0(X0,sdtpldt0(sz10,smndt0(sz10))) = sdtpldt0(sdtpldt0(X0,sz10),smndt0(sz10))
| ~ aInteger0(X0) )
| ~ spl27_7
| ~ spl27_305 ),
inference(resolution,[],[f3441,f385]) ).
fof(f7664,plain,
( spl27_496
| ~ spl27_63
| ~ spl27_165
| ~ spl27_282 ),
inference(avatar_split_clause,[],[f3038,f2884,f1386,f692,f7662]) ).
fof(f7662,plain,
( spl27_496
<=> ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,smndt0(sz10)),sz00)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_496])]) ).
fof(f2884,plain,
( spl27_282
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sz00) = sdtasdt0(X0,sdtasdt0(X1,sz00))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_282])]) ).
fof(f3038,plain,
( ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,smndt0(sz10)),sz00)
| ~ aInteger0(X0) )
| ~ spl27_63
| ~ spl27_165
| ~ spl27_282 ),
inference(forward_demodulation,[],[f3030,f1388]) ).
fof(f3030,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,smndt0(sz10)),sz00) = sdtasdt0(X0,sdtasdt0(smndt0(sz10),sz00))
| ~ aInteger0(X0) )
| ~ spl27_63
| ~ spl27_282 ),
inference(resolution,[],[f2885,f693]) ).
fof(f2885,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sdtasdt0(sdtasdt0(X0,X1),sz00) = sdtasdt0(X0,sdtasdt0(X1,sz00))
| ~ aInteger0(X0) )
| ~ spl27_282 ),
inference(avatar_component_clause,[],[f2884]) ).
fof(f7660,plain,
( spl27_495
| ~ spl27_63
| ~ spl27_164
| ~ spl27_281 ),
inference(avatar_split_clause,[],[f3025,f2865,f1381,f692,f7658]) ).
fof(f3025,plain,
( ! [X0] :
( sdtpldt0(X0,sz00) = sdtpldt0(sdtpldt0(X0,smndt0(sz10)),sz10)
| ~ aInteger0(X0) )
| ~ spl27_63
| ~ spl27_164
| ~ spl27_281 ),
inference(forward_demodulation,[],[f3018,f1383]) ).
fof(f3018,plain,
( ! [X0] :
( sdtpldt0(X0,sdtpldt0(smndt0(sz10),sz10)) = sdtpldt0(sdtpldt0(X0,smndt0(sz10)),sz10)
| ~ aInteger0(X0) )
| ~ spl27_63
| ~ spl27_281 ),
inference(resolution,[],[f2866,f693]) ).
fof(f7656,plain,
( spl27_494
| ~ spl27_7
| ~ spl27_257 ),
inference(avatar_split_clause,[],[f2576,f2500,f383,f7654]) ).
fof(f7654,plain,
( spl27_494
<=> ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(sdtpldt0(sz10,X0)),sdtpldt0(sz10,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_494])]) ).
fof(f2500,plain,
( spl27_257
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = sdtpldt0(smndt0(sdtpldt0(X1,X0)),sdtpldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_257])]) ).
fof(f2576,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(sdtpldt0(sz10,X0)),sdtpldt0(sz10,X0)) )
| ~ spl27_7
| ~ spl27_257 ),
inference(resolution,[],[f2501,f385]) ).
fof(f2501,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(sdtpldt0(X1,X0)),sdtpldt0(X1,X0)) )
| ~ spl27_257 ),
inference(avatar_component_clause,[],[f2500]) ).
fof(f7652,plain,
( spl27_493
| ~ spl27_8
| ~ spl27_257 ),
inference(avatar_split_clause,[],[f2575,f2500,f388,f7650]) ).
fof(f7650,plain,
( spl27_493
<=> ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(sdtpldt0(sz00,X0)),sdtpldt0(sz00,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_493])]) ).
fof(f2575,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(sdtpldt0(sz00,X0)),sdtpldt0(sz00,X0)) )
| ~ spl27_8
| ~ spl27_257 ),
inference(resolution,[],[f2501,f390]) ).
fof(f7648,plain,
( spl27_492
| ~ spl27_7
| ~ spl27_256 ),
inference(avatar_split_clause,[],[f2567,f2496,f383,f7646]) ).
fof(f7646,plain,
( spl27_492
<=> ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(sdtpldt0(sz10,X0),smndt0(sdtpldt0(sz10,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_492])]) ).
fof(f2496,plain,
( spl27_256
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = sdtpldt0(sdtpldt0(X1,X0),smndt0(sdtpldt0(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_256])]) ).
fof(f2567,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(sdtpldt0(sz10,X0),smndt0(sdtpldt0(sz10,X0))) )
| ~ spl27_7
| ~ spl27_256 ),
inference(resolution,[],[f2497,f385]) ).
fof(f2497,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sz00 = sdtpldt0(sdtpldt0(X1,X0),smndt0(sdtpldt0(X1,X0))) )
| ~ spl27_256 ),
inference(avatar_component_clause,[],[f2496]) ).
fof(f7638,plain,
( spl27_491
| ~ spl27_8
| ~ spl27_256 ),
inference(avatar_split_clause,[],[f2566,f2496,f388,f7636]) ).
fof(f7636,plain,
( spl27_491
<=> ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(sdtpldt0(sz00,X0),smndt0(sdtpldt0(sz00,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_491])]) ).
fof(f2566,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(sdtpldt0(sz00,X0),smndt0(sdtpldt0(sz00,X0))) )
| ~ spl27_8
| ~ spl27_256 ),
inference(resolution,[],[f2497,f390]) ).
fof(f7634,plain,
( spl27_490
| ~ spl27_7
| ~ spl27_255 ),
inference(avatar_split_clause,[],[f2558,f2492,f383,f7632]) ).
fof(f7632,plain,
( spl27_490
<=> ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(sdtasdt0(sz10,X0)),sdtasdt0(sz10,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_490])]) ).
fof(f2492,plain,
( spl27_255
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = sdtpldt0(smndt0(sdtasdt0(X1,X0)),sdtasdt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_255])]) ).
fof(f2558,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(sdtasdt0(sz10,X0)),sdtasdt0(sz10,X0)) )
| ~ spl27_7
| ~ spl27_255 ),
inference(resolution,[],[f2493,f385]) ).
fof(f2493,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(sdtasdt0(X1,X0)),sdtasdt0(X1,X0)) )
| ~ spl27_255 ),
inference(avatar_component_clause,[],[f2492]) ).
fof(f7630,plain,
( spl27_489
| ~ spl27_8
| ~ spl27_255 ),
inference(avatar_split_clause,[],[f2557,f2492,f388,f7628]) ).
fof(f7628,plain,
( spl27_489
<=> ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(sdtasdt0(sz00,X0)),sdtasdt0(sz00,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_489])]) ).
fof(f2557,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(sdtasdt0(sz00,X0)),sdtasdt0(sz00,X0)) )
| ~ spl27_8
| ~ spl27_255 ),
inference(resolution,[],[f2493,f390]) ).
fof(f7626,plain,
( spl27_488
| ~ spl27_7
| ~ spl27_253 ),
inference(avatar_split_clause,[],[f2549,f2483,f383,f7624]) ).
fof(f7624,plain,
( spl27_488
<=> ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(sdtasdt0(sz10,X0),smndt0(sdtasdt0(sz10,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_488])]) ).
fof(f2483,plain,
( spl27_253
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = sdtpldt0(sdtasdt0(X1,X0),smndt0(sdtasdt0(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_253])]) ).
fof(f2549,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(sdtasdt0(sz10,X0),smndt0(sdtasdt0(sz10,X0))) )
| ~ spl27_7
| ~ spl27_253 ),
inference(resolution,[],[f2484,f385]) ).
fof(f2484,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sz00 = sdtpldt0(sdtasdt0(X1,X0),smndt0(sdtasdt0(X1,X0))) )
| ~ spl27_253 ),
inference(avatar_component_clause,[],[f2483]) ).
fof(f7622,plain,
( spl27_487
| ~ spl27_8
| ~ spl27_253 ),
inference(avatar_split_clause,[],[f2548,f2483,f388,f7620]) ).
fof(f7620,plain,
( spl27_487
<=> ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(sdtasdt0(sz00,X0),smndt0(sdtasdt0(sz00,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_487])]) ).
fof(f2548,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(sdtasdt0(sz00,X0),smndt0(sdtasdt0(sz00,X0))) )
| ~ spl27_8
| ~ spl27_253 ),
inference(resolution,[],[f2484,f390]) ).
fof(f7618,plain,
( spl27_486
| ~ spl27_16
| ~ spl27_218 ),
inference(avatar_split_clause,[],[f2066,f1992,f430,f7616]) ).
fof(f7616,plain,
( spl27_486
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(smndt0(X1),X0))
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_486])]) ).
fof(f1992,plain,
( spl27_218
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = sdtasdt0(sz00,sdtpldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_218])]) ).
fof(f2066,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(smndt0(X1),X0))
| ~ aInteger0(X1) )
| ~ spl27_16
| ~ spl27_218 ),
inference(resolution,[],[f1993,f431]) ).
fof(f1993,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(X1,X0)) )
| ~ spl27_218 ),
inference(avatar_component_clause,[],[f1992]) ).
fof(f7614,plain,
( spl27_485
| ~ spl27_16
| ~ spl27_217 ),
inference(avatar_split_clause,[],[f2057,f1988,f430,f7612]) ).
fof(f7612,plain,
( spl27_485
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sdtpldt0(smndt0(X1),X0),sz00)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_485])]) ).
fof(f1988,plain,
( spl27_217
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = sdtasdt0(sdtpldt0(X1,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_217])]) ).
fof(f2057,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sdtpldt0(smndt0(X1),X0),sz00)
| ~ aInteger0(X1) )
| ~ spl27_16
| ~ spl27_217 ),
inference(resolution,[],[f1989,f431]) ).
fof(f1989,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sz00 = sdtasdt0(sdtpldt0(X1,X0),sz00) )
| ~ spl27_217 ),
inference(avatar_component_clause,[],[f1988]) ).
fof(f7610,plain,
( spl27_484
| ~ spl27_16
| ~ spl27_216 ),
inference(avatar_split_clause,[],[f2048,f1984,f430,f7608]) ).
fof(f7608,plain,
( spl27_484
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sz00,sdtasdt0(smndt0(X1),X0))
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_484])]) ).
fof(f1984,plain,
( spl27_216
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = sdtasdt0(sz00,sdtasdt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_216])]) ).
fof(f2048,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sz00,sdtasdt0(smndt0(X1),X0))
| ~ aInteger0(X1) )
| ~ spl27_16
| ~ spl27_216 ),
inference(resolution,[],[f1985,f431]) ).
fof(f1985,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sz00 = sdtasdt0(sz00,sdtasdt0(X1,X0)) )
| ~ spl27_216 ),
inference(avatar_component_clause,[],[f1984]) ).
fof(f7606,plain,
( spl27_483
| ~ spl27_16
| ~ spl27_214 ),
inference(avatar_split_clause,[],[f2039,f1975,f430,f7604]) ).
fof(f7604,plain,
( spl27_483
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sdtasdt0(smndt0(X1),X0),sz00)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_483])]) ).
fof(f1975,plain,
( spl27_214
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = sdtasdt0(sdtasdt0(X1,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_214])]) ).
fof(f2039,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sdtasdt0(smndt0(X1),X0),sz00)
| ~ aInteger0(X1) )
| ~ spl27_16
| ~ spl27_214 ),
inference(resolution,[],[f1976,f431]) ).
fof(f1976,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sz00 = sdtasdt0(sdtasdt0(X1,X0),sz00) )
| ~ spl27_214 ),
inference(avatar_component_clause,[],[f1975]) ).
fof(f7602,plain,
( spl27_482
| ~ spl27_26
| ~ spl27_207 ),
inference(avatar_split_clause,[],[f1938,f1886,f474,f7600]) ).
fof(f7600,plain,
( spl27_482
<=> ! [X0,X1] :
( ~ sP9(X0,X1)
| aInteger0(sK15(szAzrzSzezqlpdtcmdtrp0(X0,X1)))
| sP2(szAzrzSzezqlpdtcmdtrp0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_482])]) ).
fof(f474,plain,
( spl27_26
<=> ! [X0] :
( sP2(X0)
| aElementOf0(sK15(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_26])]) ).
fof(f1886,plain,
( spl27_207
<=> ! [X2,X0,X1] :
( ~ sP9(X0,X1)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_207])]) ).
fof(f1938,plain,
( ! [X0,X1] :
( ~ sP9(X0,X1)
| aInteger0(sK15(szAzrzSzezqlpdtcmdtrp0(X0,X1)))
| sP2(szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
| ~ spl27_26
| ~ spl27_207 ),
inference(resolution,[],[f1887,f475]) ).
fof(f475,plain,
( ! [X0] :
( aElementOf0(sK15(X0),X0)
| sP2(X0) )
| ~ spl27_26 ),
inference(avatar_component_clause,[],[f474]) ).
fof(f1887,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| ~ sP9(X0,X1)
| aInteger0(X2) )
| ~ spl27_207 ),
inference(avatar_component_clause,[],[f1886]) ).
fof(f7592,plain,
( spl27_481
| ~ spl27_16
| ~ spl27_206 ),
inference(avatar_split_clause,[],[f1928,f1882,f430,f7590]) ).
fof(f7590,plain,
( spl27_481
<=> ! [X0] :
( sz00 = sdtpldt0(smndt0(smndt0(smndt0(X0))),smndt0(smndt0(X0)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_481])]) ).
fof(f1882,plain,
( spl27_206
<=> ! [X0] :
( sz00 = sdtpldt0(smndt0(smndt0(X0)),smndt0(X0))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_206])]) ).
fof(f1928,plain,
( ! [X0] :
( sz00 = sdtpldt0(smndt0(smndt0(smndt0(X0))),smndt0(smndt0(X0)))
| ~ aInteger0(X0) )
| ~ spl27_16
| ~ spl27_206 ),
inference(resolution,[],[f1883,f431]) ).
fof(f1883,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(smndt0(X0)),smndt0(X0)) )
| ~ spl27_206 ),
inference(avatar_component_clause,[],[f1882]) ).
fof(f7588,plain,
( spl27_480
| ~ spl27_16
| ~ spl27_205 ),
inference(avatar_split_clause,[],[f1918,f1878,f430,f7586]) ).
fof(f7586,plain,
( spl27_480
<=> ! [X0] :
( sz00 = sdtpldt0(smndt0(smndt0(X0)),smndt0(smndt0(smndt0(X0))))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_480])]) ).
fof(f1878,plain,
( spl27_205
<=> ! [X0] :
( sz00 = sdtpldt0(smndt0(X0),smndt0(smndt0(X0)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_205])]) ).
fof(f1918,plain,
( ! [X0] :
( sz00 = sdtpldt0(smndt0(smndt0(X0)),smndt0(smndt0(smndt0(X0))))
| ~ aInteger0(X0) )
| ~ spl27_16
| ~ spl27_205 ),
inference(resolution,[],[f1879,f431]) ).
fof(f1879,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(X0),smndt0(smndt0(X0))) )
| ~ spl27_205 ),
inference(avatar_component_clause,[],[f1878]) ).
fof(f7584,plain,
( ~ spl27_63
| spl27_478
| ~ spl27_479
| ~ spl27_116
| ~ spl27_197 ),
inference(avatar_split_clause,[],[f1795,f1721,f1014,f7581,f7577,f692]) ).
fof(f7581,plain,
( spl27_479
<=> sz00 = smndt0(smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_479])]) ).
fof(f1795,plain,
( sz00 != smndt0(smndt0(sz10))
| sz00 = smndt0(sz10)
| ~ aInteger0(smndt0(sz10))
| ~ spl27_116
| ~ spl27_197 ),
inference(duplicate_literal_removal,[],[f1790]) ).
fof(f1790,plain,
( sz00 != smndt0(smndt0(sz10))
| sz00 = smndt0(sz10)
| sz00 = smndt0(sz10)
| ~ aInteger0(smndt0(sz10))
| ~ aInteger0(smndt0(sz10))
| ~ spl27_116
| ~ spl27_197 ),
inference(superposition,[],[f1015,f1723]) ).
fof(f7575,plain,
( spl27_477
| ~ spl27_49
| ~ spl27_183 ),
inference(avatar_split_clause,[],[f1604,f1525,f602,f7573]) ).
fof(f7573,plain,
( spl27_477
<=> ! [X0] :
( aInteger0(sK22(sbsmnsldt0(X0)))
| ~ sP7(X0)
| sP7(sbsmnsldt0(X0))
| ~ aSet0(sbsmnsldt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_477])]) ).
fof(f1604,plain,
( ! [X0] :
( aInteger0(sK22(sbsmnsldt0(X0)))
| ~ sP7(X0)
| sP7(sbsmnsldt0(X0))
| ~ aSet0(sbsmnsldt0(X0)) )
| ~ spl27_49
| ~ spl27_183 ),
inference(resolution,[],[f1526,f603]) ).
fof(f7571,plain,
( spl27_476
| ~ spl27_49
| ~ spl27_182 ),
inference(avatar_split_clause,[],[f1578,f1521,f602,f7569]) ).
fof(f7569,plain,
( spl27_476
<=> ! [X0] :
( aInteger0(sK22(stldt0(X0)))
| ~ sP5(X0)
| sP7(stldt0(X0))
| ~ aSet0(stldt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_476])]) ).
fof(f1578,plain,
( ! [X0] :
( aInteger0(sK22(stldt0(X0)))
| ~ sP5(X0)
| sP7(stldt0(X0))
| ~ aSet0(stldt0(X0)) )
| ~ spl27_49
| ~ spl27_182 ),
inference(resolution,[],[f1522,f603]) ).
fof(f7567,plain,
( spl27_475
| ~ spl27_52
| ~ spl27_181 ),
inference(avatar_split_clause,[],[f1561,f1517,f615,f7565]) ).
fof(f7565,plain,
( spl27_475
<=> ! [X0,X1] :
( sz00 = sdtasdt0(sz00,smndt0(sdtasdt0(X0,X1)))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_475])]) ).
fof(f615,plain,
( spl27_52
<=> ! [X0,X1] :
( aInteger0(sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_52])]) ).
fof(f1561,plain,
( ! [X0,X1] :
( sz00 = sdtasdt0(sz00,smndt0(sdtasdt0(X0,X1)))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl27_52
| ~ spl27_181 ),
inference(resolution,[],[f1518,f616]) ).
fof(f616,plain,
( ! [X0,X1] :
( aInteger0(sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl27_52 ),
inference(avatar_component_clause,[],[f615]) ).
fof(f7563,plain,
( spl27_474
| ~ spl27_53
| ~ spl27_181 ),
inference(avatar_split_clause,[],[f1560,f1517,f619,f7561]) ).
fof(f7561,plain,
( spl27_474
<=> ! [X0,X1] :
( sz00 = sdtasdt0(sz00,smndt0(sdtpldt0(X0,X1)))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_474])]) ).
fof(f1560,plain,
( ! [X0,X1] :
( sz00 = sdtasdt0(sz00,smndt0(sdtpldt0(X0,X1)))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl27_53
| ~ spl27_181 ),
inference(resolution,[],[f1518,f620]) ).
fof(f7559,plain,
( spl27_473
| ~ spl27_52
| ~ spl27_180 ),
inference(avatar_split_clause,[],[f1551,f1513,f615,f7557]) ).
fof(f7557,plain,
( spl27_473
<=> ! [X0,X1] :
( sz00 = sdtasdt0(smndt0(sdtasdt0(X0,X1)),sz00)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_473])]) ).
fof(f1551,plain,
( ! [X0,X1] :
( sz00 = sdtasdt0(smndt0(sdtasdt0(X0,X1)),sz00)
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl27_52
| ~ spl27_180 ),
inference(resolution,[],[f1514,f616]) ).
fof(f7555,plain,
( spl27_472
| ~ spl27_4
| ~ spl27_170
| ~ spl27_352 ),
inference(avatar_split_clause,[],[f4565,f4547,f1432,f368,f7552]) ).
fof(f4547,plain,
( spl27_352
<=> ! [X0] :
( sdtasdt0(X0,xp) = sdtpldt0(sdtasdt0(X0,smndt0(sz10)),sdtasdt0(X0,smndt0(sz10)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_352])]) ).
fof(f4565,plain,
( sdtasdt0(xp,xp) = sdtpldt0(smndt0(xp),smndt0(xp))
| ~ spl27_4
| ~ spl27_170
| ~ spl27_352 ),
inference(forward_demodulation,[],[f4556,f1434]) ).
fof(f4556,plain,
( sdtasdt0(xp,xp) = sdtpldt0(sdtasdt0(xp,smndt0(sz10)),sdtasdt0(xp,smndt0(sz10)))
| ~ spl27_4
| ~ spl27_352 ),
inference(resolution,[],[f4548,f370]) ).
fof(f4548,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,xp) = sdtpldt0(sdtasdt0(X0,smndt0(sz10)),sdtasdt0(X0,smndt0(sz10))) )
| ~ spl27_352 ),
inference(avatar_component_clause,[],[f4547]) ).
fof(f7550,plain,
( spl27_471
| ~ spl27_53
| ~ spl27_180 ),
inference(avatar_split_clause,[],[f1550,f1513,f619,f7548]) ).
fof(f7548,plain,
( spl27_471
<=> ! [X0,X1] :
( sz00 = sdtasdt0(smndt0(sdtpldt0(X0,X1)),sz00)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_471])]) ).
fof(f1550,plain,
( ! [X0,X1] :
( sz00 = sdtasdt0(smndt0(sdtpldt0(X0,X1)),sz00)
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl27_53
| ~ spl27_180 ),
inference(resolution,[],[f1514,f620]) ).
fof(f7510,plain,
( ~ spl27_7
| spl27_361
| ~ spl27_63
| spl27_470
| ~ spl27_98
| ~ spl27_176 ),
inference(avatar_split_clause,[],[f1505,f1479,f904,f7507,f692,f4805,f383]) ).
fof(f7507,plain,
( spl27_470
<=> sP0(smndt0(sz10),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_470])]) ).
fof(f1505,plain,
( sP0(smndt0(sz10),sz10)
| ~ aInteger0(smndt0(sz10))
| sz00 = sz10
| ~ aInteger0(sz10)
| ~ spl27_98
| ~ spl27_176 ),
inference(superposition,[],[f905,f1481]) ).
fof(f7439,plain,
( spl27_469
| ~ spl27_4
| ~ spl27_257 ),
inference(avatar_split_clause,[],[f2581,f2500,f368,f7437]) ).
fof(f7437,plain,
( spl27_469
<=> ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(sdtpldt0(xp,X0)),sdtpldt0(xp,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_469])]) ).
fof(f2581,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(sdtpldt0(xp,X0)),sdtpldt0(xp,X0)) )
| ~ spl27_4
| ~ spl27_257 ),
inference(resolution,[],[f2501,f370]) ).
fof(f7435,plain,
( spl27_468
| ~ spl27_4
| ~ spl27_256 ),
inference(avatar_split_clause,[],[f2572,f2496,f368,f7433]) ).
fof(f7433,plain,
( spl27_468
<=> ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(sdtpldt0(xp,X0),smndt0(sdtpldt0(xp,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_468])]) ).
fof(f2572,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(sdtpldt0(xp,X0),smndt0(sdtpldt0(xp,X0))) )
| ~ spl27_4
| ~ spl27_256 ),
inference(resolution,[],[f2497,f370]) ).
fof(f7431,plain,
( spl27_467
| ~ spl27_4
| ~ spl27_255 ),
inference(avatar_split_clause,[],[f2563,f2492,f368,f7429]) ).
fof(f7429,plain,
( spl27_467
<=> ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(sdtasdt0(xp,X0)),sdtasdt0(xp,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_467])]) ).
fof(f2563,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(sdtasdt0(xp,X0)),sdtasdt0(xp,X0)) )
| ~ spl27_4
| ~ spl27_255 ),
inference(resolution,[],[f2493,f370]) ).
fof(f7427,plain,
( spl27_466
| ~ spl27_63
| ~ spl27_169
| ~ spl27_174
| ~ spl27_197
| ~ spl27_351 ),
inference(avatar_split_clause,[],[f4543,f4503,f1721,f1468,f1427,f692,f7424]) ).
fof(f4503,plain,
( spl27_351
<=> ! [X0] :
( sdtasdt0(X0,smndt0(sz10)) = sdtpldt0(sdtasdt0(X0,xp),sdtasdt0(X0,sz10))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_351])]) ).
fof(f4543,plain,
( smndt0(smndt0(sz10)) = sdtpldt0(smndt0(xp),smndt0(sz10))
| ~ spl27_63
| ~ spl27_169
| ~ spl27_174
| ~ spl27_197
| ~ spl27_351 ),
inference(forward_demodulation,[],[f4542,f1723]) ).
fof(f4542,plain,
( sdtasdt0(smndt0(sz10),smndt0(sz10)) = sdtpldt0(smndt0(xp),smndt0(sz10))
| ~ spl27_63
| ~ spl27_169
| ~ spl27_174
| ~ spl27_351 ),
inference(forward_demodulation,[],[f4541,f1429]) ).
fof(f4541,plain,
( sdtasdt0(smndt0(sz10),smndt0(sz10)) = sdtpldt0(sdtasdt0(smndt0(sz10),xp),smndt0(sz10))
| ~ spl27_63
| ~ spl27_174
| ~ spl27_351 ),
inference(forward_demodulation,[],[f4529,f1470]) ).
fof(f4529,plain,
( sdtasdt0(smndt0(sz10),smndt0(sz10)) = sdtpldt0(sdtasdt0(smndt0(sz10),xp),sdtasdt0(smndt0(sz10),sz10))
| ~ spl27_63
| ~ spl27_351 ),
inference(resolution,[],[f4504,f693]) ).
fof(f4504,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,smndt0(sz10)) = sdtpldt0(sdtasdt0(X0,xp),sdtasdt0(X0,sz10)) )
| ~ spl27_351 ),
inference(avatar_component_clause,[],[f4503]) ).
fof(f7422,plain,
( spl27_465
| ~ spl27_4
| ~ spl27_253 ),
inference(avatar_split_clause,[],[f2554,f2483,f368,f7420]) ).
fof(f7420,plain,
( spl27_465
<=> ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(sdtasdt0(xp,X0),smndt0(sdtasdt0(xp,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_465])]) ).
fof(f2554,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(sdtasdt0(xp,X0),smndt0(sdtasdt0(xp,X0))) )
| ~ spl27_4
| ~ spl27_253 ),
inference(resolution,[],[f2484,f370]) ).
fof(f7397,plain,
( ~ spl27_4
| spl27_9
| ~ spl27_63
| spl27_464
| ~ spl27_98
| ~ spl27_170 ),
inference(avatar_split_clause,[],[f1444,f1432,f904,f7394,f692,f393,f368]) ).
fof(f1444,plain,
( sP0(smndt0(xp),xp)
| ~ aInteger0(smndt0(sz10))
| sz00 = xp
| ~ aInteger0(xp)
| ~ spl27_98
| ~ spl27_170 ),
inference(superposition,[],[f905,f1434]) ).
fof(f7270,plain,
( spl27_463
| ~ spl27_63
| ~ spl27_169
| ~ spl27_174
| ~ spl27_197
| ~ spl27_350 ),
inference(avatar_split_clause,[],[f4523,f4499,f1721,f1468,f1427,f692,f7267]) ).
fof(f7267,plain,
( spl27_463
<=> smndt0(smndt0(sz10)) = sdtpldt0(smndt0(sz10),smndt0(xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_463])]) ).
fof(f4499,plain,
( spl27_350
<=> ! [X0] :
( sdtasdt0(X0,smndt0(sz10)) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,xp))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_350])]) ).
fof(f4523,plain,
( smndt0(smndt0(sz10)) = sdtpldt0(smndt0(sz10),smndt0(xp))
| ~ spl27_63
| ~ spl27_169
| ~ spl27_174
| ~ spl27_197
| ~ spl27_350 ),
inference(forward_demodulation,[],[f4522,f1723]) ).
fof(f4522,plain,
( sdtasdt0(smndt0(sz10),smndt0(sz10)) = sdtpldt0(smndt0(sz10),smndt0(xp))
| ~ spl27_63
| ~ spl27_169
| ~ spl27_174
| ~ spl27_350 ),
inference(forward_demodulation,[],[f4521,f1470]) ).
fof(f4521,plain,
( sdtasdt0(smndt0(sz10),smndt0(sz10)) = sdtpldt0(sdtasdt0(smndt0(sz10),sz10),smndt0(xp))
| ~ spl27_63
| ~ spl27_169
| ~ spl27_350 ),
inference(forward_demodulation,[],[f4509,f1429]) ).
fof(f4509,plain,
( sdtasdt0(smndt0(sz10),smndt0(sz10)) = sdtpldt0(sdtasdt0(smndt0(sz10),sz10),sdtasdt0(smndt0(sz10),xp))
| ~ spl27_63
| ~ spl27_350 ),
inference(resolution,[],[f4500,f693]) ).
fof(f4500,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,smndt0(sz10)) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,xp)) )
| ~ spl27_350 ),
inference(avatar_component_clause,[],[f4499]) ).
fof(f6495,plain,
( spl27_462
| ~ spl27_181
| ~ spl27_338 ),
inference(avatar_split_clause,[],[f4596,f4126,f1517,f6492]) ).
fof(f6492,plain,
( spl27_462
<=> sz00 = sdtasdt0(sz00,smndt0(sdtpldt0(xp,xp))) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_462])]) ).
fof(f4126,plain,
( spl27_338
<=> aInteger0(sdtpldt0(xp,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_338])]) ).
fof(f4596,plain,
( sz00 = sdtasdt0(sz00,smndt0(sdtpldt0(xp,xp)))
| ~ spl27_181
| ~ spl27_338 ),
inference(resolution,[],[f4127,f1518]) ).
fof(f4127,plain,
( aInteger0(sdtpldt0(xp,xp))
| ~ spl27_338 ),
inference(avatar_component_clause,[],[f4126]) ).
fof(f6490,plain,
( spl27_461
| ~ spl27_7
| ~ spl27_150
| ~ spl27_283 ),
inference(avatar_split_clause,[],[f3050,f2888,f1270,f383,f6488]) ).
fof(f6488,plain,
( spl27_461
<=> ! [X0] :
( sdtasdt0(X0,sz10) = sdtasdt0(sdtasdt0(X0,sz10),sz10)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_461])]) ).
fof(f3050,plain,
( ! [X0] :
( sdtasdt0(X0,sz10) = sdtasdt0(sdtasdt0(X0,sz10),sz10)
| ~ aInteger0(X0) )
| ~ spl27_7
| ~ spl27_150
| ~ spl27_283 ),
inference(forward_demodulation,[],[f3041,f1272]) ).
fof(f3041,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sz10),sz10) = sdtasdt0(X0,sdtasdt0(sz10,sz10))
| ~ aInteger0(X0) )
| ~ spl27_7
| ~ spl27_283 ),
inference(resolution,[],[f2889,f385]) ).
fof(f6486,plain,
( spl27_460
| ~ spl27_8
| ~ spl27_149
| ~ spl27_283 ),
inference(avatar_split_clause,[],[f3049,f2888,f1265,f388,f6484]) ).
fof(f6484,plain,
( spl27_460
<=> ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sz00),sz10)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_460])]) ).
fof(f3049,plain,
( ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sz00),sz10)
| ~ aInteger0(X0) )
| ~ spl27_8
| ~ spl27_149
| ~ spl27_283 ),
inference(forward_demodulation,[],[f3040,f1267]) ).
fof(f3040,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sz00),sz10) = sdtasdt0(X0,sdtasdt0(sz00,sz10))
| ~ aInteger0(X0) )
| ~ spl27_8
| ~ spl27_283 ),
inference(resolution,[],[f2889,f390]) ).
fof(f6482,plain,
( spl27_459
| ~ spl27_7
| ~ spl27_148
| ~ spl27_282 ),
inference(avatar_split_clause,[],[f3037,f2884,f1260,f383,f6480]) ).
fof(f6480,plain,
( spl27_459
<=> ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sz10),sz00)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_459])]) ).
fof(f3037,plain,
( ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sz10),sz00)
| ~ aInteger0(X0) )
| ~ spl27_7
| ~ spl27_148
| ~ spl27_282 ),
inference(forward_demodulation,[],[f3028,f1262]) ).
fof(f3028,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sz10),sz00) = sdtasdt0(X0,sdtasdt0(sz10,sz00))
| ~ aInteger0(X0) )
| ~ spl27_7
| ~ spl27_282 ),
inference(resolution,[],[f2885,f385]) ).
fof(f6478,plain,
( spl27_458
| ~ spl27_8
| ~ spl27_147
| ~ spl27_282 ),
inference(avatar_split_clause,[],[f3036,f2884,f1255,f388,f6476]) ).
fof(f6476,plain,
( spl27_458
<=> ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sz00),sz00)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_458])]) ).
fof(f3036,plain,
( ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sz00),sz00)
| ~ aInteger0(X0) )
| ~ spl27_8
| ~ spl27_147
| ~ spl27_282 ),
inference(forward_demodulation,[],[f3027,f1257]) ).
fof(f3027,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sz00),sz00) = sdtasdt0(X0,sdtasdt0(sz00,sz00))
| ~ aInteger0(X0) )
| ~ spl27_8
| ~ spl27_282 ),
inference(resolution,[],[f2885,f390]) ).
fof(f6474,plain,
( spl27_457
| ~ spl27_8
| ~ spl27_153
| ~ spl27_281 ),
inference(avatar_split_clause,[],[f3024,f2865,f1285,f388,f6472]) ).
fof(f6472,plain,
( spl27_457
<=> ! [X0] :
( sdtpldt0(X0,sz10) = sdtpldt0(sdtpldt0(X0,sz00),sz10)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_457])]) ).
fof(f3024,plain,
( ! [X0] :
( sdtpldt0(X0,sz10) = sdtpldt0(sdtpldt0(X0,sz00),sz10)
| ~ aInteger0(X0) )
| ~ spl27_8
| ~ spl27_153
| ~ spl27_281 ),
inference(forward_demodulation,[],[f3015,f1287]) ).
fof(f3015,plain,
( ! [X0] :
( sdtpldt0(X0,sdtpldt0(sz00,sz10)) = sdtpldt0(sdtpldt0(X0,sz00),sz10)
| ~ aInteger0(X0) )
| ~ spl27_8
| ~ spl27_281 ),
inference(resolution,[],[f2866,f390]) ).
fof(f6470,plain,
( spl27_456
| ~ spl27_7
| ~ spl27_152
| ~ spl27_280 ),
inference(avatar_split_clause,[],[f3007,f2861,f1280,f383,f6468]) ).
fof(f6468,plain,
( spl27_456
<=> ! [X0] :
( sdtpldt0(X0,sz10) = sdtpldt0(sdtpldt0(X0,sz10),sz00)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_456])]) ).
fof(f3007,plain,
( ! [X0] :
( sdtpldt0(X0,sz10) = sdtpldt0(sdtpldt0(X0,sz10),sz00)
| ~ aInteger0(X0) )
| ~ spl27_7
| ~ spl27_152
| ~ spl27_280 ),
inference(forward_demodulation,[],[f2998,f1282]) ).
fof(f2998,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sz10),sz00) = sdtpldt0(X0,sdtpldt0(sz10,sz00))
| ~ aInteger0(X0) )
| ~ spl27_7
| ~ spl27_280 ),
inference(resolution,[],[f2862,f385]) ).
fof(f6466,plain,
( spl27_455
| ~ spl27_8
| ~ spl27_151
| ~ spl27_280 ),
inference(avatar_split_clause,[],[f3006,f2861,f1275,f388,f6464]) ).
fof(f6464,plain,
( spl27_455
<=> ! [X0] :
( sdtpldt0(X0,sz00) = sdtpldt0(sdtpldt0(X0,sz00),sz00)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_455])]) ).
fof(f3006,plain,
( ! [X0] :
( sdtpldt0(X0,sz00) = sdtpldt0(sdtpldt0(X0,sz00),sz00)
| ~ aInteger0(X0) )
| ~ spl27_8
| ~ spl27_151
| ~ spl27_280 ),
inference(forward_demodulation,[],[f2997,f1277]) ).
fof(f2997,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sz00),sz00) = sdtpldt0(X0,sdtpldt0(sz00,sz00))
| ~ aInteger0(X0) )
| ~ spl27_8
| ~ spl27_280 ),
inference(resolution,[],[f2862,f390]) ).
fof(f6462,plain,
( spl27_454
| ~ spl27_7
| ~ spl27_247 ),
inference(avatar_split_clause,[],[f2398,f2309,f383,f6460]) ).
fof(f6460,plain,
( spl27_454
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz10,X0) = sdtpldt0(sz00,sdtpldt0(sz10,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_454])]) ).
fof(f2398,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz10,X0) = sdtpldt0(sz00,sdtpldt0(sz10,X0)) )
| ~ spl27_7
| ~ spl27_247 ),
inference(resolution,[],[f2310,f385]) ).
fof(f6458,plain,
( spl27_453
| ~ spl27_8
| ~ spl27_247 ),
inference(avatar_split_clause,[],[f2397,f2309,f388,f6456]) ).
fof(f6456,plain,
( spl27_453
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz00,X0) = sdtpldt0(sz00,sdtpldt0(sz00,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_453])]) ).
fof(f2397,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz00,X0) = sdtpldt0(sz00,sdtpldt0(sz00,X0)) )
| ~ spl27_8
| ~ spl27_247 ),
inference(resolution,[],[f2310,f390]) ).
fof(f6454,plain,
( spl27_452
| ~ spl27_7
| ~ spl27_246 ),
inference(avatar_split_clause,[],[f2389,f2305,f383,f6452]) ).
fof(f6452,plain,
( spl27_452
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz10,X0) = sdtpldt0(sdtpldt0(sz10,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_452])]) ).
fof(f2389,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz10,X0) = sdtpldt0(sdtpldt0(sz10,X0),sz00) )
| ~ spl27_7
| ~ spl27_246 ),
inference(resolution,[],[f2306,f385]) ).
fof(f6450,plain,
( spl27_451
| ~ spl27_180
| ~ spl27_338 ),
inference(avatar_split_clause,[],[f4595,f4126,f1513,f6447]) ).
fof(f6447,plain,
( spl27_451
<=> sz00 = sdtasdt0(smndt0(sdtpldt0(xp,xp)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_451])]) ).
fof(f4595,plain,
( sz00 = sdtasdt0(smndt0(sdtpldt0(xp,xp)),sz00)
| ~ spl27_180
| ~ spl27_338 ),
inference(resolution,[],[f4127,f1514]) ).
fof(f6445,plain,
( spl27_450
| ~ spl27_8
| ~ spl27_246 ),
inference(avatar_split_clause,[],[f2388,f2305,f388,f6443]) ).
fof(f6443,plain,
( spl27_450
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz00,X0) = sdtpldt0(sdtpldt0(sz00,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_450])]) ).
fof(f2388,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz00,X0) = sdtpldt0(sdtpldt0(sz00,X0),sz00) )
| ~ spl27_8
| ~ spl27_246 ),
inference(resolution,[],[f2306,f390]) ).
fof(f6441,plain,
( spl27_449
| ~ spl27_7
| ~ spl27_245 ),
inference(avatar_split_clause,[],[f2380,f2301,f383,f6439]) ).
fof(f6439,plain,
( spl27_449
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz10,X0) = sdtasdt0(sz10,sdtpldt0(sz10,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_449])]) ).
fof(f2380,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz10,X0) = sdtasdt0(sz10,sdtpldt0(sz10,X0)) )
| ~ spl27_7
| ~ spl27_245 ),
inference(resolution,[],[f2302,f385]) ).
fof(f6437,plain,
( spl27_448
| ~ spl27_8
| ~ spl27_245 ),
inference(avatar_split_clause,[],[f2379,f2301,f388,f6435]) ).
fof(f6435,plain,
( spl27_448
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz00,X0) = sdtasdt0(sz10,sdtpldt0(sz00,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_448])]) ).
fof(f2379,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz00,X0) = sdtasdt0(sz10,sdtpldt0(sz00,X0)) )
| ~ spl27_8
| ~ spl27_245 ),
inference(resolution,[],[f2302,f390]) ).
fof(f6433,plain,
( spl27_447
| ~ spl27_7
| ~ spl27_244 ),
inference(avatar_split_clause,[],[f2371,f2297,f383,f6431]) ).
fof(f6431,plain,
( spl27_447
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz10,X0) = sdtasdt0(sdtpldt0(sz10,X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_447])]) ).
fof(f2371,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz10,X0) = sdtasdt0(sdtpldt0(sz10,X0),sz10) )
| ~ spl27_7
| ~ spl27_244 ),
inference(resolution,[],[f2298,f385]) ).
fof(f6429,plain,
( spl27_446
| ~ spl27_8
| ~ spl27_244 ),
inference(avatar_split_clause,[],[f2370,f2297,f388,f6427]) ).
fof(f6427,plain,
( spl27_446
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz00,X0) = sdtasdt0(sdtpldt0(sz00,X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_446])]) ).
fof(f2370,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz00,X0) = sdtasdt0(sdtpldt0(sz00,X0),sz10) )
| ~ spl27_8
| ~ spl27_244 ),
inference(resolution,[],[f2298,f390]) ).
fof(f6425,plain,
( spl27_445
| ~ spl27_7
| ~ spl27_243 ),
inference(avatar_split_clause,[],[f2362,f2293,f383,f6423]) ).
fof(f6423,plain,
( spl27_445
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sz10,X0) = sdtpldt0(sz00,sdtasdt0(sz10,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_445])]) ).
fof(f2362,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sz10,X0) = sdtpldt0(sz00,sdtasdt0(sz10,X0)) )
| ~ spl27_7
| ~ spl27_243 ),
inference(resolution,[],[f2294,f385]) ).
fof(f6421,plain,
( spl27_444
| ~ spl27_8
| ~ spl27_243 ),
inference(avatar_split_clause,[],[f2361,f2293,f388,f6419]) ).
fof(f6419,plain,
( spl27_444
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sz00,X0) = sdtpldt0(sz00,sdtasdt0(sz00,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_444])]) ).
fof(f2361,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sz00,X0) = sdtpldt0(sz00,sdtasdt0(sz00,X0)) )
| ~ spl27_8
| ~ spl27_243 ),
inference(resolution,[],[f2294,f390]) ).
fof(f6417,plain,
( spl27_443
| ~ spl27_7
| ~ spl27_242 ),
inference(avatar_split_clause,[],[f2353,f2289,f383,f6415]) ).
fof(f6415,plain,
( spl27_443
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sz10,X0) = sdtpldt0(sdtasdt0(sz10,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_443])]) ).
fof(f2353,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sz10,X0) = sdtpldt0(sdtasdt0(sz10,X0),sz00) )
| ~ spl27_7
| ~ spl27_242 ),
inference(resolution,[],[f2290,f385]) ).
fof(f6413,plain,
( spl27_442
| ~ spl27_8
| ~ spl27_242 ),
inference(avatar_split_clause,[],[f2352,f2289,f388,f6411]) ).
fof(f6411,plain,
( spl27_442
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sz00,X0) = sdtpldt0(sdtasdt0(sz00,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_442])]) ).
fof(f2352,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sz00,X0) = sdtpldt0(sdtasdt0(sz00,X0),sz00) )
| ~ spl27_8
| ~ spl27_242 ),
inference(resolution,[],[f2290,f390]) ).
fof(f6409,plain,
( spl27_441
| ~ spl27_7
| ~ spl27_241 ),
inference(avatar_split_clause,[],[f2344,f2285,f383,f6407]) ).
fof(f6407,plain,
( spl27_441
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sz10,X0) = sdtasdt0(sz10,sdtasdt0(sz10,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_441])]) ).
fof(f2344,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sz10,X0) = sdtasdt0(sz10,sdtasdt0(sz10,X0)) )
| ~ spl27_7
| ~ spl27_241 ),
inference(resolution,[],[f2286,f385]) ).
fof(f6403,plain,
( spl27_440
| ~ spl27_8
| ~ spl27_241 ),
inference(avatar_split_clause,[],[f2343,f2285,f388,f6401]) ).
fof(f6401,plain,
( spl27_440
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sz00,X0) = sdtasdt0(sz10,sdtasdt0(sz00,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_440])]) ).
fof(f2343,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sz00,X0) = sdtasdt0(sz10,sdtasdt0(sz00,X0)) )
| ~ spl27_8
| ~ spl27_241 ),
inference(resolution,[],[f2286,f390]) ).
fof(f6399,plain,
( spl27_439
| ~ spl27_7
| ~ spl27_240 ),
inference(avatar_split_clause,[],[f2335,f2281,f383,f6397]) ).
fof(f6397,plain,
( spl27_439
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sz10,X0) = sdtasdt0(sdtasdt0(sz10,X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_439])]) ).
fof(f2335,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sz10,X0) = sdtasdt0(sdtasdt0(sz10,X0),sz10) )
| ~ spl27_7
| ~ spl27_240 ),
inference(resolution,[],[f2282,f385]) ).
fof(f6395,plain,
( spl27_438
| ~ spl27_8
| ~ spl27_240 ),
inference(avatar_split_clause,[],[f2334,f2281,f388,f6393]) ).
fof(f6393,plain,
( spl27_438
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sz00,X0) = sdtasdt0(sdtasdt0(sz00,X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_438])]) ).
fof(f2334,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sz00,X0) = sdtasdt0(sdtasdt0(sz00,X0),sz10) )
| ~ spl27_8
| ~ spl27_240 ),
inference(resolution,[],[f2282,f390]) ).
fof(f6391,plain,
( spl27_437
| ~ spl27_63
| ~ spl27_220 ),
inference(avatar_split_clause,[],[f2087,f2000,f692,f6388]) ).
fof(f6388,plain,
( spl27_437
<=> smndt0(smndt0(smndt0(sz10))) = sdtasdt0(smndt0(smndt0(sz10)),smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_437])]) ).
fof(f2087,plain,
( smndt0(smndt0(smndt0(sz10))) = sdtasdt0(smndt0(smndt0(sz10)),smndt0(sz10))
| ~ spl27_63
| ~ spl27_220 ),
inference(resolution,[],[f2001,f693]) ).
fof(f6386,plain,
( spl27_436
| ~ spl27_63
| ~ spl27_219 ),
inference(avatar_split_clause,[],[f2076,f1996,f692,f6383]) ).
fof(f6383,plain,
( spl27_436
<=> smndt0(smndt0(smndt0(sz10))) = sdtasdt0(smndt0(sz10),smndt0(smndt0(sz10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_436])]) ).
fof(f2076,plain,
( smndt0(smndt0(smndt0(sz10))) = sdtasdt0(smndt0(sz10),smndt0(smndt0(sz10)))
| ~ spl27_63
| ~ spl27_219 ),
inference(resolution,[],[f1997,f693]) ).
fof(f6381,plain,
( spl27_435
| ~ spl27_16
| ~ spl27_202 ),
inference(avatar_split_clause,[],[f1859,f1744,f430,f6379]) ).
fof(f6379,plain,
( spl27_435
<=> ! [X0] :
( sdtasdt0(smndt0(X0),sz10) = sdtasdt0(sz10,smndt0(X0))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_435])]) ).
fof(f1744,plain,
( spl27_202
<=> ! [X0] :
( sdtasdt0(X0,sz10) = sdtasdt0(sz10,X0)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_202])]) ).
fof(f1859,plain,
( ! [X0] :
( sdtasdt0(smndt0(X0),sz10) = sdtasdt0(sz10,smndt0(X0))
| ~ aInteger0(X0) )
| ~ spl27_16
| ~ spl27_202 ),
inference(resolution,[],[f1745,f431]) ).
fof(f1745,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,sz10) = sdtasdt0(sz10,X0) )
| ~ spl27_202 ),
inference(avatar_component_clause,[],[f1744]) ).
fof(f6377,plain,
( spl27_434
| ~ spl27_16
| ~ spl27_201 ),
inference(avatar_split_clause,[],[f1847,f1738,f430,f6375]) ).
fof(f6375,plain,
( spl27_434
<=> ! [X0] :
( sdtasdt0(smndt0(X0),sz00) = sdtasdt0(sz00,smndt0(X0))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_434])]) ).
fof(f1738,plain,
( spl27_201
<=> ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sz00,X0)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_201])]) ).
fof(f1847,plain,
( ! [X0] :
( sdtasdt0(smndt0(X0),sz00) = sdtasdt0(sz00,smndt0(X0))
| ~ aInteger0(X0) )
| ~ spl27_16
| ~ spl27_201 ),
inference(resolution,[],[f1739,f431]) ).
fof(f1739,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,sz00) = sdtasdt0(sz00,X0) )
| ~ spl27_201 ),
inference(avatar_component_clause,[],[f1738]) ).
fof(f6373,plain,
( spl27_433
| ~ spl27_16
| ~ spl27_200 ),
inference(avatar_split_clause,[],[f1834,f1734,f430,f6371]) ).
fof(f6371,plain,
( spl27_433
<=> ! [X0] :
( sdtpldt0(smndt0(X0),sz10) = sdtpldt0(sz10,smndt0(X0))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_433])]) ).
fof(f1734,plain,
( spl27_200
<=> ! [X0] :
( sdtpldt0(X0,sz10) = sdtpldt0(sz10,X0)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_200])]) ).
fof(f1834,plain,
( ! [X0] :
( sdtpldt0(smndt0(X0),sz10) = sdtpldt0(sz10,smndt0(X0))
| ~ aInteger0(X0) )
| ~ spl27_16
| ~ spl27_200 ),
inference(resolution,[],[f1735,f431]) ).
fof(f1735,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sz10) = sdtpldt0(sz10,X0) )
| ~ spl27_200 ),
inference(avatar_component_clause,[],[f1734]) ).
fof(f6369,plain,
( spl27_432
| ~ spl27_16
| ~ spl27_199 ),
inference(avatar_split_clause,[],[f1822,f1730,f430,f6367]) ).
fof(f6367,plain,
( spl27_432
<=> ! [X0] :
( sdtpldt0(smndt0(X0),sz00) = sdtpldt0(sz00,smndt0(X0))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_432])]) ).
fof(f1730,plain,
( spl27_199
<=> ! [X0] :
( sdtpldt0(X0,sz00) = sdtpldt0(sz00,X0)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_199])]) ).
fof(f1822,plain,
( ! [X0] :
( sdtpldt0(smndt0(X0),sz00) = sdtpldt0(sz00,smndt0(X0))
| ~ aInteger0(X0) )
| ~ spl27_16
| ~ spl27_199 ),
inference(resolution,[],[f1731,f431]) ).
fof(f1731,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sz00) = sdtpldt0(sz00,X0) )
| ~ spl27_199 ),
inference(avatar_component_clause,[],[f1730]) ).
fof(f6365,plain,
( spl27_431
| ~ spl27_16
| ~ spl27_195 ),
inference(avatar_split_clause,[],[f1779,f1713,f430,f6363]) ).
fof(f6363,plain,
( spl27_431
<=> ! [X0] :
( smndt0(smndt0(X0)) = sdtpldt0(sz00,smndt0(smndt0(X0)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_431])]) ).
fof(f1713,plain,
( spl27_195
<=> ! [X0] :
( smndt0(X0) = sdtpldt0(sz00,smndt0(X0))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_195])]) ).
fof(f1779,plain,
( ! [X0] :
( smndt0(smndt0(X0)) = sdtpldt0(sz00,smndt0(smndt0(X0)))
| ~ aInteger0(X0) )
| ~ spl27_16
| ~ spl27_195 ),
inference(resolution,[],[f1714,f431]) ).
fof(f1714,plain,
( ! [X0] :
( ~ aInteger0(X0)
| smndt0(X0) = sdtpldt0(sz00,smndt0(X0)) )
| ~ spl27_195 ),
inference(avatar_component_clause,[],[f1713]) ).
fof(f6359,plain,
( spl27_430
| ~ spl27_16
| ~ spl27_194 ),
inference(avatar_split_clause,[],[f1769,f1709,f430,f6357]) ).
fof(f6357,plain,
( spl27_430
<=> ! [X0] :
( smndt0(smndt0(X0)) = sdtpldt0(smndt0(smndt0(X0)),sz00)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_430])]) ).
fof(f1769,plain,
( ! [X0] :
( smndt0(smndt0(X0)) = sdtpldt0(smndt0(smndt0(X0)),sz00)
| ~ aInteger0(X0) )
| ~ spl27_16
| ~ spl27_194 ),
inference(resolution,[],[f1710,f431]) ).
fof(f6355,plain,
( spl27_429
| ~ spl27_16
| ~ spl27_193 ),
inference(avatar_split_clause,[],[f1759,f1705,f430,f6353]) ).
fof(f1759,plain,
( ! [X0] :
( smndt0(smndt0(X0)) = sdtasdt0(sz10,smndt0(smndt0(X0)))
| ~ aInteger0(X0) )
| ~ spl27_16
| ~ spl27_193 ),
inference(resolution,[],[f1706,f431]) ).
fof(f6351,plain,
( spl27_428
| ~ spl27_16
| ~ spl27_192 ),
inference(avatar_split_clause,[],[f1749,f1701,f430,f6349]) ).
fof(f6349,plain,
( spl27_428
<=> ! [X0] :
( smndt0(smndt0(X0)) = sdtasdt0(smndt0(smndt0(X0)),sz10)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_428])]) ).
fof(f1749,plain,
( ! [X0] :
( smndt0(smndt0(X0)) = sdtasdt0(smndt0(smndt0(X0)),sz10)
| ~ aInteger0(X0) )
| ~ spl27_16
| ~ spl27_192 ),
inference(resolution,[],[f1702,f431]) ).
fof(f6347,plain,
( spl27_427
| ~ spl27_91
| ~ spl27_183 ),
inference(avatar_split_clause,[],[f1620,f1525,f875,f6345]) ).
fof(f6345,plain,
( spl27_427
<=> ! [X0,X1] :
( aInteger0(sK19(X0,sbsmnsldt0(X1)))
| ~ sP7(X1)
| sP6(X0,sbsmnsldt0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_427])]) ).
fof(f875,plain,
( spl27_91
<=> ! [X0,X1] :
( sP6(X0,X1)
| aInteger0(sK19(X0,X1))
| aElementOf0(sK19(X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_91])]) ).
fof(f1620,plain,
( ! [X0,X1] :
( aInteger0(sK19(X0,sbsmnsldt0(X1)))
| ~ sP7(X1)
| sP6(X0,sbsmnsldt0(X1)) )
| ~ spl27_91
| ~ spl27_183 ),
inference(duplicate_literal_removal,[],[f1602]) ).
fof(f1602,plain,
( ! [X0,X1] :
( aInteger0(sK19(X0,sbsmnsldt0(X1)))
| ~ sP7(X1)
| aInteger0(sK19(X0,sbsmnsldt0(X1)))
| sP6(X0,sbsmnsldt0(X1)) )
| ~ spl27_91
| ~ spl27_183 ),
inference(resolution,[],[f1526,f876]) ).
fof(f876,plain,
( ! [X0,X1] :
( aElementOf0(sK19(X0,X1),X1)
| aInteger0(sK19(X0,X1))
| sP6(X0,X1) )
| ~ spl27_91 ),
inference(avatar_component_clause,[],[f875]) ).
fof(f6343,plain,
( spl27_426
| ~ spl27_91
| ~ spl27_182 ),
inference(avatar_split_clause,[],[f1595,f1521,f875,f6341]) ).
fof(f6341,plain,
( spl27_426
<=> ! [X0,X1] :
( aInteger0(sK19(X0,stldt0(X1)))
| ~ sP5(X1)
| sP6(X0,stldt0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_426])]) ).
fof(f1595,plain,
( ! [X0,X1] :
( aInteger0(sK19(X0,stldt0(X1)))
| ~ sP5(X1)
| sP6(X0,stldt0(X1)) )
| ~ spl27_91
| ~ spl27_182 ),
inference(duplicate_literal_removal,[],[f1576]) ).
fof(f1576,plain,
( ! [X0,X1] :
( aInteger0(sK19(X0,stldt0(X1)))
| ~ sP5(X1)
| aInteger0(sK19(X0,stldt0(X1)))
| sP6(X0,stldt0(X1)) )
| ~ spl27_91
| ~ spl27_182 ),
inference(resolution,[],[f1522,f876]) ).
fof(f6339,plain,
( spl27_425
| ~ spl27_38
| ~ spl27_181 ),
inference(avatar_split_clause,[],[f1563,f1517,f525,f6337]) ).
fof(f6337,plain,
( spl27_425
<=> ! [X0,X1] :
( sz00 = sdtasdt0(sz00,smndt0(sK14(X0,X1)))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_425])]) ).
fof(f1563,plain,
( ! [X0,X1] :
( sz00 = sdtasdt0(sz00,smndt0(sK14(X0,X1)))
| ~ sP0(X0,X1) )
| ~ spl27_38
| ~ spl27_181 ),
inference(resolution,[],[f1518,f526]) ).
fof(f6335,plain,
( spl27_424
| ~ spl27_38
| ~ spl27_180 ),
inference(avatar_split_clause,[],[f1553,f1513,f525,f6333]) ).
fof(f6333,plain,
( spl27_424
<=> ! [X0,X1] :
( sz00 = sdtasdt0(smndt0(sK14(X0,X1)),sz00)
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_424])]) ).
fof(f1553,plain,
( ! [X0,X1] :
( sz00 = sdtasdt0(smndt0(sK14(X0,X1)),sz00)
| ~ sP0(X0,X1) )
| ~ spl27_38
| ~ spl27_180 ),
inference(resolution,[],[f1514,f526]) ).
fof(f6280,plain,
( spl27_423
| ~ spl27_3
| ~ spl27_7
| ~ spl27_414 ),
inference(avatar_split_clause,[],[f6217,f6020,f383,f363,f6277]) ).
fof(f363,plain,
( spl27_3
<=> smndt0(sz10) = sdtpldt0(sz10,smndt0(xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_3])]) ).
fof(f6020,plain,
( spl27_414
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,smndt0(xp)) = sdtpldt0(smndt0(xp),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_414])]) ).
fof(f6217,plain,
( smndt0(sz10) = sdtpldt0(smndt0(xp),sz10)
| ~ spl27_3
| ~ spl27_7
| ~ spl27_414 ),
inference(forward_demodulation,[],[f6205,f365]) ).
fof(f365,plain,
( smndt0(sz10) = sdtpldt0(sz10,smndt0(xp))
| ~ spl27_3 ),
inference(avatar_component_clause,[],[f363]) ).
fof(f6205,plain,
( sdtpldt0(sz10,smndt0(xp)) = sdtpldt0(smndt0(xp),sz10)
| ~ spl27_7
| ~ spl27_414 ),
inference(resolution,[],[f6021,f385]) ).
fof(f6021,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,smndt0(xp)) = sdtpldt0(smndt0(xp),X0) )
| ~ spl27_414 ),
inference(avatar_component_clause,[],[f6020]) ).
fof(f6055,plain,
( spl27_422
| ~ spl27_4
| ~ spl27_93
| ~ spl27_283 ),
inference(avatar_split_clause,[],[f3052,f2888,f883,f368,f6053]) ).
fof(f6053,plain,
( spl27_422
<=> ! [X0] :
( sdtasdt0(X0,xp) = sdtasdt0(sdtasdt0(X0,xp),sz10)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_422])]) ).
fof(f3052,plain,
( ! [X0] :
( sdtasdt0(X0,xp) = sdtasdt0(sdtasdt0(X0,xp),sz10)
| ~ aInteger0(X0) )
| ~ spl27_4
| ~ spl27_93
| ~ spl27_283 ),
inference(forward_demodulation,[],[f3046,f885]) ).
fof(f3046,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,xp),sz10) = sdtasdt0(X0,sdtasdt0(xp,sz10))
| ~ aInteger0(X0) )
| ~ spl27_4
| ~ spl27_283 ),
inference(resolution,[],[f2889,f370]) ).
fof(f6051,plain,
( spl27_421
| ~ spl27_4
| ~ spl27_82
| ~ spl27_282 ),
inference(avatar_split_clause,[],[f3039,f2884,f812,f368,f6049]) ).
fof(f6049,plain,
( spl27_421
<=> ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,xp),sz00)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_421])]) ).
fof(f3039,plain,
( ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,xp),sz00)
| ~ aInteger0(X0) )
| ~ spl27_4
| ~ spl27_82
| ~ spl27_282 ),
inference(forward_demodulation,[],[f3033,f814]) ).
fof(f3033,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,xp),sz00) = sdtasdt0(X0,sdtasdt0(xp,sz00))
| ~ aInteger0(X0) )
| ~ spl27_4
| ~ spl27_282 ),
inference(resolution,[],[f2885,f370]) ).
fof(f6047,plain,
( spl27_420
| ~ spl27_4
| ~ spl27_102
| ~ spl27_280 ),
inference(avatar_split_clause,[],[f3009,f2861,f945,f368,f6045]) ).
fof(f6045,plain,
( spl27_420
<=> ! [X0] :
( sdtpldt0(X0,xp) = sdtpldt0(sdtpldt0(X0,xp),sz00)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_420])]) ).
fof(f3009,plain,
( ! [X0] :
( sdtpldt0(X0,xp) = sdtpldt0(sdtpldt0(X0,xp),sz00)
| ~ aInteger0(X0) )
| ~ spl27_4
| ~ spl27_102
| ~ spl27_280 ),
inference(forward_demodulation,[],[f3003,f947]) ).
fof(f3003,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,xp),sz00) = sdtpldt0(X0,sdtpldt0(xp,sz00))
| ~ aInteger0(X0) )
| ~ spl27_4
| ~ spl27_280 ),
inference(resolution,[],[f2862,f370]) ).
fof(f6043,plain,
( spl27_419
| ~ spl27_7
| ~ spl27_101
| ~ spl27_271 ),
inference(avatar_split_clause,[],[f2830,f2801,f918,f383,f6041]) ).
fof(f6041,plain,
( spl27_419
<=> ! [X0] :
( sdtasdt0(X0,xp) = sdtasdt0(sdtasdt0(X0,sz10),xp)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_419])]) ).
fof(f2830,plain,
( ! [X0] :
( sdtasdt0(X0,xp) = sdtasdt0(sdtasdt0(X0,sz10),xp)
| ~ aInteger0(X0) )
| ~ spl27_7
| ~ spl27_101
| ~ spl27_271 ),
inference(forward_demodulation,[],[f2821,f920]) ).
fof(f2821,plain,
( ! [X0] :
( sdtasdt0(X0,sdtasdt0(sz10,xp)) = sdtasdt0(sdtasdt0(X0,sz10),xp)
| ~ aInteger0(X0) )
| ~ spl27_7
| ~ spl27_271 ),
inference(resolution,[],[f2802,f385]) ).
fof(f6039,plain,
( spl27_418
| ~ spl27_8
| ~ spl27_86
| ~ spl27_271 ),
inference(avatar_split_clause,[],[f2829,f2801,f835,f388,f6037]) ).
fof(f6037,plain,
( spl27_418
<=> ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sz00),xp)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_418])]) ).
fof(f2829,plain,
( ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sz00),xp)
| ~ aInteger0(X0) )
| ~ spl27_8
| ~ spl27_86
| ~ spl27_271 ),
inference(forward_demodulation,[],[f2820,f837]) ).
fof(f2820,plain,
( ! [X0] :
( sdtasdt0(X0,sdtasdt0(sz00,xp)) = sdtasdt0(sdtasdt0(X0,sz00),xp)
| ~ aInteger0(X0) )
| ~ spl27_8
| ~ spl27_271 ),
inference(resolution,[],[f2802,f390]) ).
fof(f6035,plain,
( spl27_417
| ~ spl27_4
| ~ spl27_93
| ~ spl27_170
| ~ spl27_351 ),
inference(avatar_split_clause,[],[f4545,f4503,f1432,f883,f368,f6032]) ).
fof(f4545,plain,
( smndt0(xp) = sdtpldt0(sdtasdt0(xp,xp),xp)
| ~ spl27_4
| ~ spl27_93
| ~ spl27_170
| ~ spl27_351 ),
inference(forward_demodulation,[],[f4544,f1434]) ).
fof(f4544,plain,
( sdtasdt0(xp,smndt0(sz10)) = sdtpldt0(sdtasdt0(xp,xp),xp)
| ~ spl27_4
| ~ spl27_93
| ~ spl27_351 ),
inference(forward_demodulation,[],[f4532,f885]) ).
fof(f4532,plain,
( sdtasdt0(xp,smndt0(sz10)) = sdtpldt0(sdtasdt0(xp,xp),sdtasdt0(xp,sz10))
| ~ spl27_4
| ~ spl27_351 ),
inference(resolution,[],[f4504,f370]) ).
fof(f6030,plain,
( spl27_416
| ~ spl27_8
| ~ spl27_108
| ~ spl27_270 ),
inference(avatar_split_clause,[],[f2813,f2797,f978,f388,f6028]) ).
fof(f6028,plain,
( spl27_416
<=> ! [X0] :
( sdtpldt0(X0,xp) = sdtpldt0(sdtpldt0(X0,sz00),xp)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_416])]) ).
fof(f2813,plain,
( ! [X0] :
( sdtpldt0(X0,xp) = sdtpldt0(sdtpldt0(X0,sz00),xp)
| ~ aInteger0(X0) )
| ~ spl27_8
| ~ spl27_108
| ~ spl27_270 ),
inference(forward_demodulation,[],[f2804,f980]) ).
fof(f2804,plain,
( ! [X0] :
( sdtpldt0(X0,sdtpldt0(sz00,xp)) = sdtpldt0(sdtpldt0(X0,sz00),xp)
| ~ aInteger0(X0) )
| ~ spl27_8
| ~ spl27_270 ),
inference(resolution,[],[f2798,f390]) ).
fof(f6026,plain,
( spl27_415
| ~ spl27_4
| ~ spl27_249 ),
inference(avatar_split_clause,[],[f2422,f2317,f368,f6024]) ).
fof(f6024,plain,
( spl27_415
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,smndt0(xp)) = sdtasdt0(smndt0(xp),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_415])]) ).
fof(f2422,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,smndt0(xp)) = sdtasdt0(smndt0(xp),X0) )
| ~ spl27_4
| ~ spl27_249 ),
inference(resolution,[],[f2318,f370]) ).
fof(f6022,plain,
( spl27_414
| ~ spl27_4
| ~ spl27_248 ),
inference(avatar_split_clause,[],[f2412,f2313,f368,f6020]) ).
fof(f2412,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,smndt0(xp)) = sdtpldt0(smndt0(xp),X0) )
| ~ spl27_4
| ~ spl27_248 ),
inference(resolution,[],[f2314,f370]) ).
fof(f6018,plain,
( spl27_413
| ~ spl27_4
| ~ spl27_247 ),
inference(avatar_split_clause,[],[f2403,f2309,f368,f6016]) ).
fof(f6016,plain,
( spl27_413
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(xp,X0) = sdtpldt0(sz00,sdtpldt0(xp,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_413])]) ).
fof(f2403,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(xp,X0) = sdtpldt0(sz00,sdtpldt0(xp,X0)) )
| ~ spl27_4
| ~ spl27_247 ),
inference(resolution,[],[f2310,f370]) ).
fof(f6014,plain,
( spl27_412
| ~ spl27_4
| ~ spl27_246 ),
inference(avatar_split_clause,[],[f2394,f2305,f368,f6012]) ).
fof(f6012,plain,
( spl27_412
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(xp,X0) = sdtpldt0(sdtpldt0(xp,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_412])]) ).
fof(f2394,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(xp,X0) = sdtpldt0(sdtpldt0(xp,X0),sz00) )
| ~ spl27_4
| ~ spl27_246 ),
inference(resolution,[],[f2306,f370]) ).
fof(f6010,plain,
( spl27_411
| ~ spl27_4
| ~ spl27_245 ),
inference(avatar_split_clause,[],[f2385,f2301,f368,f6008]) ).
fof(f6008,plain,
( spl27_411
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(xp,X0) = sdtasdt0(sz10,sdtpldt0(xp,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_411])]) ).
fof(f2385,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(xp,X0) = sdtasdt0(sz10,sdtpldt0(xp,X0)) )
| ~ spl27_4
| ~ spl27_245 ),
inference(resolution,[],[f2302,f370]) ).
fof(f6006,plain,
( spl27_410
| ~ spl27_4
| ~ spl27_244 ),
inference(avatar_split_clause,[],[f2376,f2297,f368,f6004]) ).
fof(f6004,plain,
( spl27_410
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(xp,X0) = sdtasdt0(sdtpldt0(xp,X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_410])]) ).
fof(f2376,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(xp,X0) = sdtasdt0(sdtpldt0(xp,X0),sz10) )
| ~ spl27_4
| ~ spl27_244 ),
inference(resolution,[],[f2298,f370]) ).
fof(f6002,plain,
( spl27_409
| ~ spl27_4
| ~ spl27_243 ),
inference(avatar_split_clause,[],[f2367,f2293,f368,f6000]) ).
fof(f6000,plain,
( spl27_409
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(xp,X0) = sdtpldt0(sz00,sdtasdt0(xp,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_409])]) ).
fof(f2367,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(xp,X0) = sdtpldt0(sz00,sdtasdt0(xp,X0)) )
| ~ spl27_4
| ~ spl27_243 ),
inference(resolution,[],[f2294,f370]) ).
fof(f5998,plain,
( spl27_408
| ~ spl27_4
| ~ spl27_242 ),
inference(avatar_split_clause,[],[f2358,f2289,f368,f5996]) ).
fof(f5996,plain,
( spl27_408
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(xp,X0) = sdtpldt0(sdtasdt0(xp,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_408])]) ).
fof(f2358,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(xp,X0) = sdtpldt0(sdtasdt0(xp,X0),sz00) )
| ~ spl27_4
| ~ spl27_242 ),
inference(resolution,[],[f2290,f370]) ).
fof(f5994,plain,
( spl27_407
| ~ spl27_4
| ~ spl27_241 ),
inference(avatar_split_clause,[],[f2349,f2285,f368,f5992]) ).
fof(f5992,plain,
( spl27_407
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(xp,X0) = sdtasdt0(sz10,sdtasdt0(xp,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_407])]) ).
fof(f2349,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(xp,X0) = sdtasdt0(sz10,sdtasdt0(xp,X0)) )
| ~ spl27_4
| ~ spl27_241 ),
inference(resolution,[],[f2286,f370]) ).
fof(f5990,plain,
( spl27_406
| ~ spl27_4
| ~ spl27_240 ),
inference(avatar_split_clause,[],[f2340,f2281,f368,f5988]) ).
fof(f5988,plain,
( spl27_406
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(xp,X0) = sdtasdt0(sdtasdt0(xp,X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_406])]) ).
fof(f2340,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(xp,X0) = sdtasdt0(sdtasdt0(xp,X0),sz10) )
| ~ spl27_4
| ~ spl27_240 ),
inference(resolution,[],[f2282,f370]) ).
fof(f5986,plain,
( spl27_405
| ~ spl27_16
| ~ spl27_190 ),
inference(avatar_split_clause,[],[f1685,f1669,f430,f5984]) ).
fof(f5984,plain,
( spl27_405
<=> ! [X0] :
( sdtasdt0(smndt0(X0),xp) = sdtasdt0(xp,smndt0(X0))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_405])]) ).
fof(f1685,plain,
( ! [X0] :
( sdtasdt0(smndt0(X0),xp) = sdtasdt0(xp,smndt0(X0))
| ~ aInteger0(X0) )
| ~ spl27_16
| ~ spl27_190 ),
inference(resolution,[],[f1670,f431]) ).
fof(f5982,plain,
( spl27_404
| ~ spl27_16
| ~ spl27_189 ),
inference(avatar_split_clause,[],[f1674,f1665,f430,f5980]) ).
fof(f5980,plain,
( spl27_404
<=> ! [X0] :
( sdtpldt0(smndt0(X0),xp) = sdtpldt0(xp,smndt0(X0))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_404])]) ).
fof(f1674,plain,
( ! [X0] :
( sdtpldt0(smndt0(X0),xp) = sdtpldt0(xp,smndt0(X0))
| ~ aInteger0(X0) )
| ~ spl27_16
| ~ spl27_189 ),
inference(resolution,[],[f1666,f431]) ).
fof(f5874,plain,
( spl27_403
| ~ spl27_370
| ~ spl27_395 ),
inference(avatar_split_clause,[],[f5823,f5819,f4919,f5871]) ).
fof(f5871,plain,
( spl27_403
<=> smndt0(xp) = sdtpldt0(xp,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_403])]) ).
fof(f4919,plain,
( spl27_370
<=> xp = sdtasdt0(xp,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_370])]) ).
fof(f5819,plain,
( spl27_395
<=> smndt0(xp) = sdtpldt0(xp,sdtasdt0(xp,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_395])]) ).
fof(f5823,plain,
( smndt0(xp) = sdtpldt0(xp,xp)
| ~ spl27_370
| ~ spl27_395 ),
inference(forward_demodulation,[],[f5821,f4921]) ).
fof(f4921,plain,
( xp = sdtasdt0(xp,xp)
| ~ spl27_370 ),
inference(avatar_component_clause,[],[f4919]) ).
fof(f5821,plain,
( smndt0(xp) = sdtpldt0(xp,sdtasdt0(xp,xp))
| ~ spl27_395 ),
inference(avatar_component_clause,[],[f5819]) ).
fof(f5853,plain,
( spl27_402
| ~ spl27_294 ),
inference(avatar_split_clause,[],[f3280,f3091,f5851]) ).
fof(f5851,plain,
( spl27_402
<=> ! [X0] :
( aElementOf0(sK26(X0,X0,X0),X0)
| sP11(X0,X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_402])]) ).
fof(f3091,plain,
( spl27_294
<=> ! [X0,X1] :
( aElementOf0(sK26(X0,X1,X1),X1)
| aElementOf0(sK26(X0,X1,X1),X0)
| sP11(X0,X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_294])]) ).
fof(f3280,plain,
( ! [X0] :
( aElementOf0(sK26(X0,X0,X0),X0)
| sP11(X0,X0,X0) )
| ~ spl27_294 ),
inference(factoring,[],[f3092]) ).
fof(f3092,plain,
( ! [X0,X1] :
( aElementOf0(sK26(X0,X1,X1),X1)
| aElementOf0(sK26(X0,X1,X1),X0)
| sP11(X0,X1,X1) )
| ~ spl27_294 ),
inference(avatar_component_clause,[],[f3091]) ).
fof(f5849,plain,
( spl27_401
| ~ spl27_63
| ~ spl27_218 ),
inference(avatar_split_clause,[],[f2067,f1992,f692,f5847]) ).
fof(f5847,plain,
( spl27_401
<=> ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(smndt0(sz10),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_401])]) ).
fof(f2067,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(smndt0(sz10),X0)) )
| ~ spl27_63
| ~ spl27_218 ),
inference(resolution,[],[f1993,f693]) ).
fof(f5845,plain,
( spl27_400
| ~ spl27_63
| ~ spl27_217 ),
inference(avatar_split_clause,[],[f2058,f1988,f692,f5843]) ).
fof(f5843,plain,
( spl27_400
<=> ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sdtpldt0(smndt0(sz10),X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_400])]) ).
fof(f2058,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sdtpldt0(smndt0(sz10),X0),sz00) )
| ~ spl27_63
| ~ spl27_217 ),
inference(resolution,[],[f1989,f693]) ).
fof(f5841,plain,
( spl27_399
| ~ spl27_63
| ~ spl27_216 ),
inference(avatar_split_clause,[],[f2049,f1984,f692,f5839]) ).
fof(f5839,plain,
( spl27_399
<=> ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sz00,sdtasdt0(smndt0(sz10),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_399])]) ).
fof(f2049,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sz00,sdtasdt0(smndt0(sz10),X0)) )
| ~ spl27_63
| ~ spl27_216 ),
inference(resolution,[],[f1985,f693]) ).
fof(f5837,plain,
( spl27_398
| ~ spl27_63
| ~ spl27_214 ),
inference(avatar_split_clause,[],[f2040,f1975,f692,f5835]) ).
fof(f5835,plain,
( spl27_398
<=> ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sdtasdt0(smndt0(sz10),X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_398])]) ).
fof(f2040,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sdtasdt0(smndt0(sz10),X0),sz00) )
| ~ spl27_63
| ~ spl27_214 ),
inference(resolution,[],[f1976,f693]) ).
fof(f5833,plain,
( spl27_397
| ~ spl27_63
| ~ spl27_206 ),
inference(avatar_split_clause,[],[f1929,f1882,f692,f5830]) ).
fof(f5830,plain,
( spl27_397
<=> sz00 = sdtpldt0(smndt0(smndt0(smndt0(sz10))),smndt0(smndt0(sz10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_397])]) ).
fof(f1929,plain,
( sz00 = sdtpldt0(smndt0(smndt0(smndt0(sz10))),smndt0(smndt0(sz10)))
| ~ spl27_63
| ~ spl27_206 ),
inference(resolution,[],[f1883,f693]) ).
fof(f5828,plain,
( spl27_396
| ~ spl27_7
| ~ spl27_93
| ~ spl27_391
| ~ spl27_394 ),
inference(avatar_split_clause,[],[f5817,f5813,f5624,f883,f383,f5825]) ).
fof(f5825,plain,
( spl27_396
<=> sz00 = sdtpldt0(smndt0(smndt0(xp)),smndt0(smndt0(smndt0(xp)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_396])]) ).
fof(f5624,plain,
( spl27_391
<=> ! [X0] :
( sz10 = sdtasdt0(sdtasdt0(xp,X0),sz10)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_391])]) ).
fof(f5813,plain,
( spl27_394
<=> sz00 = sdtpldt0(smndt0(smndt0(sz10)),smndt0(smndt0(smndt0(sz10)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_394])]) ).
fof(f5817,plain,
( sz00 = sdtpldt0(smndt0(smndt0(xp)),smndt0(smndt0(smndt0(xp))))
| ~ spl27_7
| ~ spl27_93
| ~ spl27_391
| ~ spl27_394 ),
inference(forward_demodulation,[],[f5815,f5796]) ).
fof(f5796,plain,
( sz10 = xp
| ~ spl27_7
| ~ spl27_93
| ~ spl27_391 ),
inference(forward_demodulation,[],[f5795,f885]) ).
fof(f5795,plain,
( sz10 = sdtasdt0(xp,sz10)
| ~ spl27_7
| ~ spl27_93
| ~ spl27_391 ),
inference(forward_demodulation,[],[f5783,f885]) ).
fof(f5783,plain,
( sz10 = sdtasdt0(sdtasdt0(xp,sz10),sz10)
| ~ spl27_7
| ~ spl27_391 ),
inference(resolution,[],[f5625,f385]) ).
fof(f5625,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz10 = sdtasdt0(sdtasdt0(xp,X0),sz10) )
| ~ spl27_391 ),
inference(avatar_component_clause,[],[f5624]) ).
fof(f5815,plain,
( sz00 = sdtpldt0(smndt0(smndt0(sz10)),smndt0(smndt0(smndt0(sz10))))
| ~ spl27_394 ),
inference(avatar_component_clause,[],[f5813]) ).
fof(f5822,plain,
( spl27_395
| ~ spl27_4
| ~ spl27_93
| ~ spl27_170
| ~ spl27_350 ),
inference(avatar_split_clause,[],[f4525,f4499,f1432,f883,f368,f5819]) ).
fof(f4525,plain,
( smndt0(xp) = sdtpldt0(xp,sdtasdt0(xp,xp))
| ~ spl27_4
| ~ spl27_93
| ~ spl27_170
| ~ spl27_350 ),
inference(forward_demodulation,[],[f4524,f1434]) ).
fof(f4524,plain,
( sdtasdt0(xp,smndt0(sz10)) = sdtpldt0(xp,sdtasdt0(xp,xp))
| ~ spl27_4
| ~ spl27_93
| ~ spl27_350 ),
inference(forward_demodulation,[],[f4512,f885]) ).
fof(f4512,plain,
( sdtasdt0(xp,smndt0(sz10)) = sdtpldt0(sdtasdt0(xp,sz10),sdtasdt0(xp,xp))
| ~ spl27_4
| ~ spl27_350 ),
inference(resolution,[],[f4500,f370]) ).
fof(f5816,plain,
( spl27_394
| ~ spl27_63
| ~ spl27_205 ),
inference(avatar_split_clause,[],[f1919,f1878,f692,f5813]) ).
fof(f1919,plain,
( sz00 = sdtpldt0(smndt0(smndt0(sz10)),smndt0(smndt0(smndt0(sz10))))
| ~ spl27_63
| ~ spl27_205 ),
inference(resolution,[],[f1879,f693]) ).
fof(f5811,plain,
( spl27_393
| ~ spl27_26
| ~ spl27_198 ),
inference(avatar_split_clause,[],[f1800,f1726,f474,f5809]) ).
fof(f5809,plain,
( spl27_393
<=> ! [X0] :
( ~ aElementOf0(sK15(stldt0(X0)),X0)
| ~ sP5(X0)
| sP2(stldt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_393])]) ).
fof(f1800,plain,
( ! [X0] :
( ~ aElementOf0(sK15(stldt0(X0)),X0)
| ~ sP5(X0)
| sP2(stldt0(X0)) )
| ~ spl27_26
| ~ spl27_198 ),
inference(resolution,[],[f1727,f475]) ).
fof(f5747,plain,
( spl27_9
| ~ spl27_82
| ~ spl27_93
| ~ spl27_101
| ~ spl27_173
| ~ spl27_215
| ~ spl27_361 ),
inference(avatar_split_clause,[],[f5589,f4805,f1979,f1457,f918,f883,f812,f393]) ).
fof(f1457,plain,
( spl27_173
<=> sz00 = smndt0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_173])]) ).
fof(f1979,plain,
( spl27_215
<=> sz00 = sdtasdt0(sz00,smndt0(xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_215])]) ).
fof(f5589,plain,
( sz00 = xp
| ~ spl27_82
| ~ spl27_93
| ~ spl27_101
| ~ spl27_173
| ~ spl27_215
| ~ spl27_361 ),
inference(forward_demodulation,[],[f4807,f5547]) ).
fof(f5547,plain,
( sz10 = xp
| ~ spl27_82
| ~ spl27_93
| ~ spl27_101
| ~ spl27_173
| ~ spl27_215
| ~ spl27_361 ),
inference(forward_demodulation,[],[f4860,f920]) ).
fof(f4860,plain,
( sz10 = sdtasdt0(sz10,xp)
| ~ spl27_82
| ~ spl27_93
| ~ spl27_173
| ~ spl27_215
| ~ spl27_361 ),
inference(forward_demodulation,[],[f4835,f4852]) ).
fof(f4852,plain,
( xp = smndt0(xp)
| ~ spl27_82
| ~ spl27_93
| ~ spl27_173
| ~ spl27_361 ),
inference(forward_demodulation,[],[f4831,f4841]) ).
fof(f4841,plain,
( sz10 = xp
| ~ spl27_82
| ~ spl27_93
| ~ spl27_361 ),
inference(forward_demodulation,[],[f4817,f885]) ).
fof(f4817,plain,
( sz10 = sdtasdt0(xp,sz10)
| ~ spl27_82
| ~ spl27_361 ),
inference(superposition,[],[f814,f4807]) ).
fof(f4831,plain,
( sz10 = smndt0(sz10)
| ~ spl27_173
| ~ spl27_361 ),
inference(superposition,[],[f1459,f4807]) ).
fof(f1459,plain,
( sz00 = smndt0(sz00)
| ~ spl27_173 ),
inference(avatar_component_clause,[],[f1457]) ).
fof(f4835,plain,
( sz10 = sdtasdt0(sz10,smndt0(xp))
| ~ spl27_215
| ~ spl27_361 ),
inference(superposition,[],[f1981,f4807]) ).
fof(f1981,plain,
( sz00 = sdtasdt0(sz00,smndt0(xp))
| ~ spl27_215 ),
inference(avatar_component_clause,[],[f1979]) ).
fof(f4807,plain,
( sz00 = sz10
| ~ spl27_361 ),
inference(avatar_component_clause,[],[f4805]) ).
fof(f5663,plain,
( ~ spl27_7
| spl27_361
| ~ spl27_8
| spl27_392
| ~ spl27_98
| ~ spl27_148 ),
inference(avatar_split_clause,[],[f1303,f1260,f904,f5660,f388,f4805,f383]) ).
fof(f5660,plain,
( spl27_392
<=> sP0(sz00,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_392])]) ).
fof(f1303,plain,
( sP0(sz00,sz10)
| ~ aInteger0(sz00)
| sz00 = sz10
| ~ aInteger0(sz10)
| ~ spl27_98
| ~ spl27_148 ),
inference(superposition,[],[f905,f1262]) ).
fof(f5626,plain,
( spl27_391
| ~ spl27_361
| ~ spl27_364 ),
inference(avatar_split_clause,[],[f4884,f4881,f4805,f5624]) ).
fof(f4881,plain,
( spl27_364
<=> ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sdtasdt0(xp,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_364])]) ).
fof(f4884,plain,
( ! [X0] :
( sz10 = sdtasdt0(sdtasdt0(xp,X0),sz10)
| ~ aInteger0(X0) )
| ~ spl27_361
| ~ spl27_364 ),
inference(forward_demodulation,[],[f4882,f4807]) ).
fof(f4882,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sdtasdt0(xp,X0),sz00) )
| ~ spl27_364 ),
inference(avatar_component_clause,[],[f4881]) ).
fof(f5539,plain,
( ~ spl27_7
| spl27_361
| ~ spl27_4
| spl27_390
| ~ spl27_98
| ~ spl27_101 ),
inference(avatar_split_clause,[],[f1106,f918,f904,f5536,f368,f4805,f383]) ).
fof(f5536,plain,
( spl27_390
<=> sP0(xp,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_390])]) ).
fof(f1106,plain,
( sP0(xp,sz10)
| ~ aInteger0(xp)
| sz00 = sz10
| ~ aInteger0(sz10)
| ~ spl27_98
| ~ spl27_101 ),
inference(superposition,[],[f905,f920]) ).
fof(f5515,plain,
( ~ spl27_4
| spl27_9
| ~ spl27_8
| spl27_389
| ~ spl27_82
| ~ spl27_98 ),
inference(avatar_split_clause,[],[f1003,f904,f812,f5512,f388,f393,f368]) ).
fof(f5512,plain,
( spl27_389
<=> sP0(sz00,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_389])]) ).
fof(f1003,plain,
( sP0(sz00,xp)
| ~ aInteger0(sz00)
| sz00 = xp
| ~ aInteger0(xp)
| ~ spl27_82
| ~ spl27_98 ),
inference(superposition,[],[f905,f814]) ).
fof(f5118,plain,
( spl27_388
| ~ spl27_33
| ~ spl27_338 ),
inference(avatar_split_clause,[],[f4580,f4126,f505,f5115]) ).
fof(f5115,plain,
( spl27_388
<=> sz00 = sdtasdt0(sz00,sdtpldt0(xp,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_388])]) ).
fof(f505,plain,
( spl27_33
<=> ! [X0] :
( sz00 = sdtasdt0(sz00,X0)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_33])]) ).
fof(f4580,plain,
( sz00 = sdtasdt0(sz00,sdtpldt0(xp,xp))
| ~ spl27_33
| ~ spl27_338 ),
inference(resolution,[],[f4127,f506]) ).
fof(f506,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sz00,X0) )
| ~ spl27_33 ),
inference(avatar_component_clause,[],[f505]) ).
fof(f5101,plain,
( spl27_387
| ~ spl27_7
| ~ spl27_218 ),
inference(avatar_split_clause,[],[f2065,f1992,f383,f5099]) ).
fof(f5099,plain,
( spl27_387
<=> ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(sz10,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_387])]) ).
fof(f2065,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(sz10,X0)) )
| ~ spl27_7
| ~ spl27_218 ),
inference(resolution,[],[f1993,f385]) ).
fof(f5097,plain,
( spl27_386
| ~ spl27_8
| ~ spl27_218 ),
inference(avatar_split_clause,[],[f2064,f1992,f388,f5095]) ).
fof(f5095,plain,
( spl27_386
<=> ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(sz00,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_386])]) ).
fof(f2064,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(sz00,X0)) )
| ~ spl27_8
| ~ spl27_218 ),
inference(resolution,[],[f1993,f390]) ).
fof(f5093,plain,
( spl27_385
| ~ spl27_7
| ~ spl27_217 ),
inference(avatar_split_clause,[],[f2056,f1988,f383,f5091]) ).
fof(f5091,plain,
( spl27_385
<=> ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sdtpldt0(sz10,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_385])]) ).
fof(f2056,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sdtpldt0(sz10,X0),sz00) )
| ~ spl27_7
| ~ spl27_217 ),
inference(resolution,[],[f1989,f385]) ).
fof(f5089,plain,
( spl27_384
| ~ spl27_8
| ~ spl27_217 ),
inference(avatar_split_clause,[],[f2055,f1988,f388,f5087]) ).
fof(f5087,plain,
( spl27_384
<=> ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sdtpldt0(sz00,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_384])]) ).
fof(f2055,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sdtpldt0(sz00,X0),sz00) )
| ~ spl27_8
| ~ spl27_217 ),
inference(resolution,[],[f1989,f390]) ).
fof(f5085,plain,
( spl27_383
| ~ spl27_7
| ~ spl27_216 ),
inference(avatar_split_clause,[],[f2047,f1984,f383,f5083]) ).
fof(f5083,plain,
( spl27_383
<=> ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sz00,sdtasdt0(sz10,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_383])]) ).
fof(f2047,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sz00,sdtasdt0(sz10,X0)) )
| ~ spl27_7
| ~ spl27_216 ),
inference(resolution,[],[f1985,f385]) ).
fof(f5081,plain,
( spl27_382
| ~ spl27_8
| ~ spl27_216 ),
inference(avatar_split_clause,[],[f2046,f1984,f388,f5079]) ).
fof(f5079,plain,
( spl27_382
<=> ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sz00,sdtasdt0(sz00,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_382])]) ).
fof(f2046,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sz00,sdtasdt0(sz00,X0)) )
| ~ spl27_8
| ~ spl27_216 ),
inference(resolution,[],[f1985,f390]) ).
fof(f5077,plain,
( spl27_381
| ~ spl27_7
| ~ spl27_214 ),
inference(avatar_split_clause,[],[f2038,f1975,f383,f5075]) ).
fof(f5075,plain,
( spl27_381
<=> ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sdtasdt0(sz10,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_381])]) ).
fof(f2038,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sdtasdt0(sz10,X0),sz00) )
| ~ spl27_7
| ~ spl27_214 ),
inference(resolution,[],[f1976,f385]) ).
fof(f5073,plain,
( spl27_380
| ~ spl27_8
| ~ spl27_214 ),
inference(avatar_split_clause,[],[f2037,f1975,f388,f5071]) ).
fof(f5071,plain,
( spl27_380
<=> ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sdtasdt0(sz00,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_380])]) ).
fof(f2037,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sdtasdt0(sz00,X0),sz00) )
| ~ spl27_8
| ~ spl27_214 ),
inference(resolution,[],[f1976,f390]) ).
fof(f5069,plain,
( spl27_379
| ~ spl27_63
| ~ spl27_195 ),
inference(avatar_split_clause,[],[f1780,f1713,f692,f5066]) ).
fof(f5066,plain,
( spl27_379
<=> smndt0(smndt0(sz10)) = sdtpldt0(sz00,smndt0(smndt0(sz10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_379])]) ).
fof(f1780,plain,
( smndt0(smndt0(sz10)) = sdtpldt0(sz00,smndt0(smndt0(sz10)))
| ~ spl27_63
| ~ spl27_195 ),
inference(resolution,[],[f1714,f693]) ).
fof(f5064,plain,
( spl27_378
| ~ spl27_32
| ~ spl27_338 ),
inference(avatar_split_clause,[],[f4579,f4126,f501,f5061]) ).
fof(f5061,plain,
( spl27_378
<=> sz00 = sdtasdt0(sdtpldt0(xp,xp),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_378])]) ).
fof(f501,plain,
( spl27_32
<=> ! [X0] :
( sz00 = sdtasdt0(X0,sz00)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_32])]) ).
fof(f4579,plain,
( sz00 = sdtasdt0(sdtpldt0(xp,xp),sz00)
| ~ spl27_32
| ~ spl27_338 ),
inference(resolution,[],[f4127,f502]) ).
fof(f502,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(X0,sz00) )
| ~ spl27_32 ),
inference(avatar_component_clause,[],[f501]) ).
fof(f5059,plain,
( spl27_377
| ~ spl27_63
| ~ spl27_194 ),
inference(avatar_split_clause,[],[f1770,f1709,f692,f5056]) ).
fof(f5056,plain,
( spl27_377
<=> smndt0(smndt0(sz10)) = sdtpldt0(smndt0(smndt0(sz10)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_377])]) ).
fof(f1770,plain,
( smndt0(smndt0(sz10)) = sdtpldt0(smndt0(smndt0(sz10)),sz00)
| ~ spl27_63
| ~ spl27_194 ),
inference(resolution,[],[f1710,f693]) ).
fof(f5054,plain,
( spl27_376
| ~ spl27_63
| ~ spl27_193 ),
inference(avatar_split_clause,[],[f1760,f1705,f692,f5051]) ).
fof(f5051,plain,
( spl27_376
<=> smndt0(smndt0(sz10)) = sdtasdt0(sz10,smndt0(smndt0(sz10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_376])]) ).
fof(f1760,plain,
( smndt0(smndt0(sz10)) = sdtasdt0(sz10,smndt0(smndt0(sz10)))
| ~ spl27_63
| ~ spl27_193 ),
inference(resolution,[],[f1706,f693]) ).
fof(f5049,plain,
( spl27_375
| ~ spl27_63
| ~ spl27_192 ),
inference(avatar_split_clause,[],[f1750,f1701,f692,f5046]) ).
fof(f5046,plain,
( spl27_375
<=> smndt0(smndt0(sz10)) = sdtasdt0(smndt0(smndt0(sz10)),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_375])]) ).
fof(f1750,plain,
( smndt0(smndt0(sz10)) = sdtasdt0(smndt0(smndt0(sz10)),sz10)
| ~ spl27_63
| ~ spl27_192 ),
inference(resolution,[],[f1702,f693]) ).
fof(f5044,plain,
( spl27_374
| ~ spl27_26
| ~ spl27_183 ),
inference(avatar_split_clause,[],[f1598,f1525,f474,f5042]) ).
fof(f5042,plain,
( spl27_374
<=> ! [X0] :
( aInteger0(sK15(sbsmnsldt0(X0)))
| ~ sP7(X0)
| sP2(sbsmnsldt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_374])]) ).
fof(f1598,plain,
( ! [X0] :
( aInteger0(sK15(sbsmnsldt0(X0)))
| ~ sP7(X0)
| sP2(sbsmnsldt0(X0)) )
| ~ spl27_26
| ~ spl27_183 ),
inference(resolution,[],[f1526,f475]) ).
fof(f5040,plain,
( spl27_373
| ~ spl27_26
| ~ spl27_182 ),
inference(avatar_split_clause,[],[f1572,f1521,f474,f5038]) ).
fof(f5038,plain,
( spl27_373
<=> ! [X0] :
( aInteger0(sK15(stldt0(X0)))
| ~ sP5(X0)
| sP2(stldt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_373])]) ).
fof(f1572,plain,
( ! [X0] :
( aInteger0(sK15(stldt0(X0)))
| ~ sP5(X0)
| sP2(stldt0(X0)) )
| ~ spl27_26
| ~ spl27_182 ),
inference(resolution,[],[f1522,f475]) ).
fof(f5036,plain,
( spl27_372
| ~ spl27_16
| ~ spl27_181 ),
inference(avatar_split_clause,[],[f1558,f1517,f430,f5034]) ).
fof(f1558,plain,
( ! [X0] :
( sz00 = sdtasdt0(sz00,smndt0(smndt0(X0)))
| ~ aInteger0(X0) )
| ~ spl27_16
| ~ spl27_181 ),
inference(resolution,[],[f1518,f431]) ).
fof(f5032,plain,
( spl27_371
| ~ spl27_16
| ~ spl27_180 ),
inference(avatar_split_clause,[],[f1548,f1513,f430,f5030]) ).
fof(f5030,plain,
( spl27_371
<=> ! [X0] :
( sz00 = sdtasdt0(smndt0(smndt0(X0)),sz00)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_371])]) ).
fof(f1548,plain,
( ! [X0] :
( sz00 = sdtasdt0(smndt0(smndt0(X0)),sz00)
| ~ aInteger0(X0) )
| ~ spl27_16
| ~ spl27_180 ),
inference(resolution,[],[f1514,f431]) ).
fof(f4922,plain,
( spl27_370
| ~ spl27_82
| ~ spl27_93
| ~ spl27_173
| ~ spl27_361
| ~ spl27_369 ),
inference(avatar_split_clause,[],[f4917,f4911,f4805,f1457,f883,f812,f4919]) ).
fof(f4917,plain,
( xp = sdtasdt0(xp,xp)
| ~ spl27_82
| ~ spl27_93
| ~ spl27_173
| ~ spl27_361
| ~ spl27_369 ),
inference(forward_demodulation,[],[f4916,f4852]) ).
fof(f4916,plain,
( smndt0(xp) = sdtasdt0(xp,xp)
| ~ spl27_82
| ~ spl27_93
| ~ spl27_173
| ~ spl27_361
| ~ spl27_369 ),
inference(forward_demodulation,[],[f4915,f4852]) ).
fof(f4915,plain,
( smndt0(smndt0(xp)) = sdtasdt0(smndt0(xp),smndt0(xp))
| ~ spl27_82
| ~ spl27_93
| ~ spl27_361
| ~ spl27_369 ),
inference(forward_demodulation,[],[f4913,f4841]) ).
fof(f4914,plain,
( spl27_369
| ~ spl27_4
| ~ spl27_220 ),
inference(avatar_split_clause,[],[f2090,f2000,f368,f4911]) ).
fof(f2090,plain,
( smndt0(smndt0(xp)) = sdtasdt0(smndt0(xp),smndt0(sz10))
| ~ spl27_4
| ~ spl27_220 ),
inference(resolution,[],[f2001,f370]) ).
fof(f4908,plain,
( spl27_368
| ~ spl27_4
| ~ spl27_219 ),
inference(avatar_split_clause,[],[f2079,f1996,f368,f4905]) ).
fof(f4905,plain,
( spl27_368
<=> smndt0(smndt0(xp)) = sdtasdt0(smndt0(sz10),smndt0(xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_368])]) ).
fof(f2079,plain,
( smndt0(smndt0(xp)) = sdtasdt0(smndt0(sz10),smndt0(xp))
| ~ spl27_4
| ~ spl27_219 ),
inference(resolution,[],[f1997,f370]) ).
fof(f4901,plain,
( spl27_367
| ~ spl27_4
| ~ spl27_218 ),
inference(avatar_split_clause,[],[f2070,f1992,f368,f4899]) ).
fof(f4899,plain,
( spl27_367
<=> ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(xp,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_367])]) ).
fof(f2070,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(xp,X0)) )
| ~ spl27_4
| ~ spl27_218 ),
inference(resolution,[],[f1993,f370]) ).
fof(f4895,plain,
( spl27_366
| ~ spl27_4
| ~ spl27_217 ),
inference(avatar_split_clause,[],[f2061,f1988,f368,f4893]) ).
fof(f4893,plain,
( spl27_366
<=> ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sdtpldt0(xp,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_366])]) ).
fof(f2061,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sdtpldt0(xp,X0),sz00) )
| ~ spl27_4
| ~ spl27_217 ),
inference(resolution,[],[f1989,f370]) ).
fof(f4889,plain,
( spl27_365
| ~ spl27_4
| ~ spl27_216 ),
inference(avatar_split_clause,[],[f2052,f1984,f368,f4887]) ).
fof(f4887,plain,
( spl27_365
<=> ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sz00,sdtasdt0(xp,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_365])]) ).
fof(f2052,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sz00,sdtasdt0(xp,X0)) )
| ~ spl27_4
| ~ spl27_216 ),
inference(resolution,[],[f1985,f370]) ).
fof(f4883,plain,
( spl27_364
| ~ spl27_4
| ~ spl27_214 ),
inference(avatar_split_clause,[],[f2043,f1975,f368,f4881]) ).
fof(f2043,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sdtasdt0(xp,X0),sz00) )
| ~ spl27_4
| ~ spl27_214 ),
inference(resolution,[],[f1976,f370]) ).
fof(f4877,plain,
( spl27_363
| ~ spl27_63
| ~ spl27_189 ),
inference(avatar_split_clause,[],[f1675,f1665,f692,f4874]) ).
fof(f4874,plain,
( spl27_363
<=> sdtpldt0(smndt0(sz10),xp) = sdtpldt0(xp,smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_363])]) ).
fof(f1675,plain,
( sdtpldt0(smndt0(sz10),xp) = sdtpldt0(xp,smndt0(sz10))
| ~ spl27_63
| ~ spl27_189 ),
inference(resolution,[],[f1666,f693]) ).
fof(f4812,plain,
( spl27_361
| ~ spl27_7
| spl27_362
| ~ spl27_98
| ~ spl27_150 ),
inference(avatar_split_clause,[],[f1316,f1270,f904,f4809,f383,f4805]) ).
fof(f1316,plain,
( sP0(sz10,sz10)
| ~ aInteger0(sz10)
| sz00 = sz10
| ~ spl27_98
| ~ spl27_150 ),
inference(duplicate_literal_removal,[],[f1313]) ).
fof(f1313,plain,
( sP0(sz10,sz10)
| ~ aInteger0(sz10)
| sz00 = sz10
| ~ aInteger0(sz10)
| ~ spl27_98
| ~ spl27_150 ),
inference(superposition,[],[f905,f1272]) ).
fof(f4787,plain,
( spl27_360
| ~ spl27_4
| ~ spl27_206 ),
inference(avatar_split_clause,[],[f1932,f1882,f368,f4784]) ).
fof(f4784,plain,
( spl27_360
<=> sz00 = sdtpldt0(smndt0(smndt0(xp)),smndt0(xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_360])]) ).
fof(f1932,plain,
( sz00 = sdtpldt0(smndt0(smndt0(xp)),smndt0(xp))
| ~ spl27_4
| ~ spl27_206 ),
inference(resolution,[],[f1883,f370]) ).
fof(f4782,plain,
( spl27_359
| ~ spl27_12
| ~ spl27_338 ),
inference(avatar_split_clause,[],[f4578,f4126,f407,f4779]) ).
fof(f4779,plain,
( spl27_359
<=> sP1(sdtpldt0(xp,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_359])]) ).
fof(f4578,plain,
( sP1(sdtpldt0(xp,xp))
| ~ spl27_12
| ~ spl27_338 ),
inference(resolution,[],[f4127,f408]) ).
fof(f4777,plain,
( spl27_358
| ~ spl27_4
| ~ spl27_205 ),
inference(avatar_split_clause,[],[f1922,f1878,f368,f4774]) ).
fof(f4774,plain,
( spl27_358
<=> sz00 = sdtpldt0(smndt0(xp),smndt0(smndt0(xp))) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_358])]) ).
fof(f1922,plain,
( sz00 = sdtpldt0(smndt0(xp),smndt0(smndt0(xp)))
| ~ spl27_4
| ~ spl27_205 ),
inference(resolution,[],[f1879,f370]) ).
fof(f4750,plain,
( spl27_357
| ~ spl27_63
| ~ spl27_181 ),
inference(avatar_split_clause,[],[f1559,f1517,f692,f4747]) ).
fof(f4747,plain,
( spl27_357
<=> sz00 = sdtasdt0(sz00,smndt0(smndt0(sz10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_357])]) ).
fof(f1559,plain,
( sz00 = sdtasdt0(sz00,smndt0(smndt0(sz10)))
| ~ spl27_63
| ~ spl27_181 ),
inference(resolution,[],[f1518,f693]) ).
fof(f4745,plain,
( spl27_356
| ~ spl27_63
| ~ spl27_180 ),
inference(avatar_split_clause,[],[f1549,f1513,f692,f4742]) ).
fof(f4742,plain,
( spl27_356
<=> sz00 = sdtasdt0(smndt0(smndt0(sz10)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_356])]) ).
fof(f1549,plain,
( sz00 = sdtasdt0(smndt0(smndt0(sz10)),sz00)
| ~ spl27_63
| ~ spl27_180 ),
inference(resolution,[],[f1514,f693]) ).
fof(f4577,plain,
( ~ spl27_68
| ~ spl27_7
| ~ spl27_4
| spl27_355
| ~ spl27_3
| ~ spl27_333 ),
inference(avatar_split_clause,[],[f4081,f3977,f363,f4575,f368,f383,f755]) ).
fof(f755,plain,
( spl27_68
<=> sP1(smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_68])]) ).
fof(f4575,plain,
( spl27_355
<=> ! [X0] :
( sP0(smndt0(sz10),X0)
| ~ sdteqdtlpzmzozddtrp0(sz10,xp,X0)
| ~ aInteger0(X0)
| sz00 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_355])]) ).
fof(f3977,plain,
( spl27_333
<=> ! [X2,X0,X1] :
( ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| sP0(sdtpldt0(X0,smndt0(X1)),X2)
| ~ sP1(sdtpldt0(X0,smndt0(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_333])]) ).
fof(f4081,plain,
( ! [X0] :
( sP0(smndt0(sz10),X0)
| sz00 = X0
| ~ aInteger0(X0)
| ~ aInteger0(xp)
| ~ aInteger0(sz10)
| ~ sdteqdtlpzmzozddtrp0(sz10,xp,X0)
| ~ sP1(smndt0(sz10)) )
| ~ spl27_3
| ~ spl27_333 ),
inference(superposition,[],[f3978,f365]) ).
fof(f3978,plain,
( ! [X2,X0,X1] :
( sP0(sdtpldt0(X0,smndt0(X1)),X2)
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ sP1(sdtpldt0(X0,smndt0(X1))) )
| ~ spl27_333 ),
inference(avatar_component_clause,[],[f3977]) ).
fof(f4573,plain,
( ~ spl27_353
| spl27_354
| ~ spl27_2
| ~ spl27_268 ),
inference(avatar_split_clause,[],[f2770,f2545,f358,f4571,f4567]) ).
fof(f4567,plain,
( spl27_353
<=> sP7(szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_353])]) ).
fof(f4571,plain,
( spl27_354
<=> ! [X0] :
( ~ aElementOf0(X0,smndt0(sz10))
| aElementOf0(X0,sbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(sz10,xp)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_354])]) ).
fof(f358,plain,
( spl27_2
<=> aElementOf0(smndt0(sz10),szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_2])]) ).
fof(f2545,plain,
( spl27_268
<=> ! [X2,X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ aElementOf0(X1,X2)
| ~ aInteger0(X0)
| aElementOf0(X0,sbsmnsldt0(X2))
| ~ sP7(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_268])]) ).
fof(f2770,plain,
( ! [X0] :
( ~ aElementOf0(X0,smndt0(sz10))
| ~ aInteger0(X0)
| aElementOf0(X0,sbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(sz10,xp)))
| ~ sP7(szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
| ~ spl27_2
| ~ spl27_268 ),
inference(resolution,[],[f2546,f360]) ).
fof(f360,plain,
( aElementOf0(smndt0(sz10),szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ~ spl27_2 ),
inference(avatar_component_clause,[],[f358]) ).
fof(f2546,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X1,X2)
| ~ aElementOf0(X0,X1)
| ~ aInteger0(X0)
| aElementOf0(X0,sbsmnsldt0(X2))
| ~ sP7(X2) )
| ~ spl27_268 ),
inference(avatar_component_clause,[],[f2545]) ).
fof(f4549,plain,
( spl27_352
| ~ spl27_63
| ~ spl27_292
| ~ spl27_319 ),
inference(avatar_split_clause,[],[f3833,f3768,f3082,f692,f4547]) ).
fof(f3768,plain,
( spl27_319
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,smndt0(sz10))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,smndt0(sz10)))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_319])]) ).
fof(f3833,plain,
( ! [X0] :
( sdtasdt0(X0,xp) = sdtpldt0(sdtasdt0(X0,smndt0(sz10)),sdtasdt0(X0,smndt0(sz10)))
| ~ aInteger0(X0) )
| ~ spl27_63
| ~ spl27_292
| ~ spl27_319 ),
inference(forward_demodulation,[],[f3825,f3084]) ).
fof(f3825,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(smndt0(sz10),smndt0(sz10))) = sdtpldt0(sdtasdt0(X0,smndt0(sz10)),sdtasdt0(X0,smndt0(sz10)))
| ~ aInteger0(X0) )
| ~ spl27_63
| ~ spl27_319 ),
inference(resolution,[],[f3769,f693]) ).
fof(f3769,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sdtasdt0(X0,sdtpldt0(X1,smndt0(sz10))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,smndt0(sz10)))
| ~ aInteger0(X0) )
| ~ spl27_319 ),
inference(avatar_component_clause,[],[f3768]) ).
fof(f4505,plain,
( spl27_351
| ~ spl27_4
| ~ spl27_191
| ~ spl27_308 ),
inference(avatar_split_clause,[],[f3630,f3452,f1696,f368,f4503]) ).
fof(f1696,plain,
( spl27_191
<=> smndt0(sz10) = sdtpldt0(xp,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_191])]) ).
fof(f3630,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(sz10)) = sdtpldt0(sdtasdt0(X0,xp),sdtasdt0(X0,sz10))
| ~ aInteger0(X0) )
| ~ spl27_4
| ~ spl27_191
| ~ spl27_308 ),
inference(forward_demodulation,[],[f3625,f1698]) ).
fof(f1698,plain,
( smndt0(sz10) = sdtpldt0(xp,sz10)
| ~ spl27_191 ),
inference(avatar_component_clause,[],[f1696]) ).
fof(f3625,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(xp,sz10)) = sdtpldt0(sdtasdt0(X0,xp),sdtasdt0(X0,sz10))
| ~ aInteger0(X0) )
| ~ spl27_4
| ~ spl27_308 ),
inference(resolution,[],[f3453,f370]) ).
fof(f4501,plain,
( spl27_350
| ~ spl27_1
| ~ spl27_7
| ~ spl27_297 ),
inference(avatar_split_clause,[],[f3395,f3378,f383,f353,f4499]) ).
fof(f353,plain,
( spl27_1
<=> smndt0(sz10) = sdtpldt0(sz10,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1])]) ).
fof(f3395,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(sz10)) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,xp))
| ~ aInteger0(X0) )
| ~ spl27_1
| ~ spl27_7
| ~ spl27_297 ),
inference(forward_demodulation,[],[f3386,f355]) ).
fof(f355,plain,
( smndt0(sz10) = sdtpldt0(sz10,xp)
| ~ spl27_1 ),
inference(avatar_component_clause,[],[f353]) ).
fof(f3386,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sz10,xp)) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,xp))
| ~ aInteger0(X0) )
| ~ spl27_7
| ~ spl27_297 ),
inference(resolution,[],[f3379,f385]) ).
fof(f4483,plain,
( ~ spl27_4
| ~ spl27_53
| spl27_338 ),
inference(avatar_split_clause,[],[f4250,f4126,f619,f368]) ).
fof(f4250,plain,
( ~ aInteger0(xp)
| ~ spl27_53
| spl27_338 ),
inference(duplicate_literal_removal,[],[f4249]) ).
fof(f4249,plain,
( ~ aInteger0(xp)
| ~ aInteger0(xp)
| ~ spl27_53
| spl27_338 ),
inference(resolution,[],[f4128,f620]) ).
fof(f4128,plain,
( ~ aInteger0(sdtpldt0(xp,xp))
| spl27_338 ),
inference(avatar_component_clause,[],[f4126]) ).
fof(f4482,plain,
( spl27_349
| ~ spl27_63
| ~ spl27_292
| ~ spl27_305 ),
inference(avatar_split_clause,[],[f3577,f3440,f3082,f692,f4480]) ).
fof(f4480,plain,
( spl27_349
<=> ! [X0] :
( sdtpldt0(X0,xp) = sdtpldt0(sdtpldt0(X0,smndt0(sz10)),smndt0(sz10))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_349])]) ).
fof(f3577,plain,
( ! [X0] :
( sdtpldt0(X0,xp) = sdtpldt0(sdtpldt0(X0,smndt0(sz10)),smndt0(sz10))
| ~ aInteger0(X0) )
| ~ spl27_63
| ~ spl27_292
| ~ spl27_305 ),
inference(forward_demodulation,[],[f3569,f3084]) ).
fof(f3569,plain,
( ! [X0] :
( sdtpldt0(X0,sdtpldt0(smndt0(sz10),smndt0(sz10))) = sdtpldt0(sdtpldt0(X0,smndt0(sz10)),smndt0(sz10))
| ~ aInteger0(X0) )
| ~ spl27_63
| ~ spl27_305 ),
inference(resolution,[],[f3441,f693]) ).
fof(f4326,plain,
( spl27_348
| ~ spl27_129
| ~ spl27_142 ),
inference(avatar_split_clause,[],[f1221,f1208,f1102,f4324]) ).
fof(f4324,plain,
( spl27_348
<=> ! [X0,X3,X2,X1] :
( sdteqdtlpzmzozddtrp0(sK24(sdtasdt0(X0,X1),X2,X3),X2,X1)
| sz00 = X1
| ~ aInteger0(X1)
| sz00 = X0
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(sK24(sdtasdt0(X0,X1),X2,X3))
| aElementOf0(sK24(sdtasdt0(X0,X1),X2,X3),X3)
| sP8(sdtasdt0(X0,X1),X2,X3)
| ~ aSet0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_348])]) ).
fof(f1102,plain,
( spl27_129
<=> ! [X2,X0,X1] :
( sP8(X0,X1,X2)
| sdteqdtlpzmzozddtrp0(sK24(X0,X1,X2),X1,X0)
| aElementOf0(sK24(X0,X1,X2),X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_129])]) ).
fof(f1221,plain,
( ! [X2,X3,X0,X1] :
( sdteqdtlpzmzozddtrp0(sK24(sdtasdt0(X0,X1),X2,X3),X2,X1)
| sz00 = X1
| ~ aInteger0(X1)
| sz00 = X0
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(sK24(sdtasdt0(X0,X1),X2,X3))
| aElementOf0(sK24(sdtasdt0(X0,X1),X2,X3),X3)
| sP8(sdtasdt0(X0,X1),X2,X3)
| ~ aSet0(X3) )
| ~ spl27_129
| ~ spl27_142 ),
inference(resolution,[],[f1209,f1103]) ).
fof(f1103,plain,
( ! [X2,X0,X1] :
( sdteqdtlpzmzozddtrp0(sK24(X0,X1,X2),X1,X0)
| aElementOf0(sK24(X0,X1,X2),X2)
| sP8(X0,X1,X2)
| ~ aSet0(X2) )
| ~ spl27_129 ),
inference(avatar_component_clause,[],[f1102]) ).
fof(f4322,plain,
( spl27_347
| ~ spl27_129
| ~ spl27_141 ),
inference(avatar_split_clause,[],[f1214,f1204,f1102,f4320]) ).
fof(f1204,plain,
( spl27_141
<=> ! [X0,X3,X2,X1] :
( sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,sdtasdt0(X2,X3))
| sz00 = X3
| ~ aInteger0(X3)
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_141])]) ).
fof(f1214,plain,
( ! [X2,X3,X0,X1] :
( sdteqdtlpzmzozddtrp0(sK24(sdtasdt0(X0,X1),X2,X3),X2,X0)
| sz00 = X1
| ~ aInteger0(X1)
| sz00 = X0
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(sK24(sdtasdt0(X0,X1),X2,X3))
| aElementOf0(sK24(sdtasdt0(X0,X1),X2,X3),X3)
| sP8(sdtasdt0(X0,X1),X2,X3)
| ~ aSet0(X3) )
| ~ spl27_129
| ~ spl27_141 ),
inference(resolution,[],[f1205,f1103]) ).
fof(f1205,plain,
( ! [X2,X3,X0,X1] :
( ~ sdteqdtlpzmzozddtrp0(X0,X1,sdtasdt0(X2,X3))
| sdteqdtlpzmzozddtrp0(X0,X1,X2)
| sz00 = X3
| ~ aInteger0(X3)
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl27_141 ),
inference(avatar_component_clause,[],[f1204]) ).
fof(f4299,plain,
( spl27_346
| ~ spl27_103
| ~ spl27_131 ),
inference(avatar_split_clause,[],[f1129,f1113,f950,f4297]) ).
fof(f4297,plain,
( spl27_346
<=> ! [X0,X1] :
( sdteqdtlpzmzozddtrp0(X0,X1,sK13(sdtpldt0(X0,smndt0(X1))))
| sz00 = sK13(sdtpldt0(X0,smndt0(X1)))
| ~ aInteger0(sK13(sdtpldt0(X0,smndt0(X1))))
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| smndt0(sz10) = sdtpldt0(X0,smndt0(X1))
| sz10 = sdtpldt0(X0,smndt0(X1))
| ~ aInteger0(sdtpldt0(X0,smndt0(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_346])]) ).
fof(f950,plain,
( spl27_103
<=> ! [X0] :
( aDivisorOf0(sK13(X0),X0)
| smndt0(sz10) = X0
| sz10 = X0
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_103])]) ).
fof(f1113,plain,
( spl27_131
<=> ! [X2,X0,X1] :
( sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1)))
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_131])]) ).
fof(f1129,plain,
( ! [X0,X1] :
( sdteqdtlpzmzozddtrp0(X0,X1,sK13(sdtpldt0(X0,smndt0(X1))))
| sz00 = sK13(sdtpldt0(X0,smndt0(X1)))
| ~ aInteger0(sK13(sdtpldt0(X0,smndt0(X1))))
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| smndt0(sz10) = sdtpldt0(X0,smndt0(X1))
| sz10 = sdtpldt0(X0,smndt0(X1))
| ~ aInteger0(sdtpldt0(X0,smndt0(X1))) )
| ~ spl27_103
| ~ spl27_131 ),
inference(resolution,[],[f1114,f951]) ).
fof(f951,plain,
( ! [X0] :
( aDivisorOf0(sK13(X0),X0)
| smndt0(sz10) = X0
| sz10 = X0
| ~ aInteger0(X0) )
| ~ spl27_103 ),
inference(avatar_component_clause,[],[f950]) ).
fof(f1114,plain,
( ! [X2,X0,X1] :
( ~ aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1)))
| sdteqdtlpzmzozddtrp0(X0,X1,X2)
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl27_131 ),
inference(avatar_component_clause,[],[f1113]) ).
fof(f4290,plain,
( spl27_345
| ~ spl27_129
| ~ spl27_139 ),
inference(avatar_split_clause,[],[f1197,f1193,f1102,f4288]) ).
fof(f4288,plain,
( spl27_345
<=> ! [X0,X3,X2,X1] :
( sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ sdteqdtlpzmzozddtrp0(X0,sK24(X2,X1,X3),X2)
| ~ aInteger0(X1)
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(sK24(X2,X1,X3))
| ~ aInteger0(X0)
| aElementOf0(sK24(X2,X1,X3),X3)
| sP8(X2,X1,X3)
| ~ aSet0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_345])]) ).
fof(f1193,plain,
( spl27_139
<=> ! [X0,X3,X2,X1] :
( sdteqdtlpzmzozddtrp0(X0,X3,X2)
| ~ sdteqdtlpzmzozddtrp0(X1,X3,X2)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aInteger0(X3)
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_139])]) ).
fof(f1197,plain,
( ! [X2,X3,X0,X1] :
( sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ sdteqdtlpzmzozddtrp0(X0,sK24(X2,X1,X3),X2)
| ~ aInteger0(X1)
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(sK24(X2,X1,X3))
| ~ aInteger0(X0)
| aElementOf0(sK24(X2,X1,X3),X3)
| sP8(X2,X1,X3)
| ~ aSet0(X3) )
| ~ spl27_129
| ~ spl27_139 ),
inference(resolution,[],[f1194,f1103]) ).
fof(f1194,plain,
( ! [X2,X3,X0,X1] :
( ~ sdteqdtlpzmzozddtrp0(X1,X3,X2)
| sdteqdtlpzmzozddtrp0(X0,X3,X2)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aInteger0(X3)
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl27_139 ),
inference(avatar_component_clause,[],[f1193]) ).
fof(f4248,plain,
( spl27_344
| ~ spl27_125
| ~ spl27_129 ),
inference(avatar_split_clause,[],[f1126,f1102,f1059,f4246]) ).
fof(f4246,plain,
( spl27_344
<=> ! [X2,X0,X1] :
( aElementOf0(sK24(X0,X1,X2),X2)
| sP8(X0,X1,X2)
| ~ aSet0(X2)
| sdteqdtlpzmzozddtrp0(X1,sK24(X0,X1,X2),X0)
| sz00 = X0
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(sK24(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_344])]) ).
fof(f1059,plain,
( spl27_125
<=> ! [X2,X0,X1] :
( sdteqdtlpzmzozddtrp0(X1,X0,X2)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_125])]) ).
fof(f1126,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK24(X0,X1,X2),X2)
| sP8(X0,X1,X2)
| ~ aSet0(X2)
| sdteqdtlpzmzozddtrp0(X1,sK24(X0,X1,X2),X0)
| sz00 = X0
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(sK24(X0,X1,X2)) )
| ~ spl27_125
| ~ spl27_129 ),
inference(resolution,[],[f1103,f1060]) ).
fof(f1060,plain,
( ! [X2,X0,X1] :
( ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| sdteqdtlpzmzozddtrp0(X1,X0,X2)
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl27_125 ),
inference(avatar_component_clause,[],[f1059]) ).
fof(f4207,plain,
( spl27_343
| ~ spl27_56
| ~ spl27_133 ),
inference(avatar_split_clause,[],[f1150,f1121,f664,f4205]) ).
fof(f4205,plain,
( spl27_343
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sK16(X2,X3)) = sdtpldt0(sdtasdt0(X0,sK16(X2,X3)),sdtasdt0(X1,sK16(X2,X3)))
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aElementOf0(X3,X2)
| ~ sP2(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_343])]) ).
fof(f1121,plain,
( spl27_133
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_133])]) ).
fof(f1150,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sK16(X2,X3)) = sdtpldt0(sdtasdt0(X0,sK16(X2,X3)),sdtasdt0(X1,sK16(X2,X3)))
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aElementOf0(X3,X2)
| ~ sP2(X2) )
| ~ spl27_56
| ~ spl27_133 ),
inference(resolution,[],[f1122,f665]) ).
fof(f1122,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X2)
| sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl27_133 ),
inference(avatar_component_clause,[],[f1121]) ).
fof(f4185,plain,
( spl27_342
| ~ spl27_52
| ~ spl27_133 ),
inference(avatar_split_clause,[],[f1147,f1121,f615,f4183]) ).
fof(f4183,plain,
( spl27_342
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(X2,X3)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X2,X3)),sdtasdt0(X1,sdtasdt0(X2,X3)))
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(X3)
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_342])]) ).
fof(f1147,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(X2,X3)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X2,X3)),sdtasdt0(X1,sdtasdt0(X2,X3)))
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(X3)
| ~ aInteger0(X2) )
| ~ spl27_52
| ~ spl27_133 ),
inference(resolution,[],[f1122,f616]) ).
fof(f4181,plain,
( spl27_341
| ~ spl27_53
| ~ spl27_133 ),
inference(avatar_split_clause,[],[f1146,f1121,f619,f4179]) ).
fof(f4179,plain,
( spl27_341
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X2,X3)),sdtasdt0(X1,sdtpldt0(X2,X3)))
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(X3)
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_341])]) ).
fof(f1146,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X2,X3)),sdtasdt0(X1,sdtpldt0(X2,X3)))
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(X3)
| ~ aInteger0(X2) )
| ~ spl27_53
| ~ spl27_133 ),
inference(resolution,[],[f1122,f620]) ).
fof(f4137,plain,
( spl27_340
| ~ spl27_38
| ~ spl27_133 ),
inference(avatar_split_clause,[],[f1149,f1121,f525,f4135]) ).
fof(f4135,plain,
( spl27_340
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sK14(X2,X3)) = sdtpldt0(sdtasdt0(X0,sK14(X2,X3)),sdtasdt0(X1,sK14(X2,X3)))
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ sP0(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_340])]) ).
fof(f1149,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sK14(X2,X3)) = sdtpldt0(sdtasdt0(X0,sK14(X2,X3)),sdtasdt0(X1,sK14(X2,X3)))
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ sP0(X2,X3) )
| ~ spl27_38
| ~ spl27_133 ),
inference(resolution,[],[f1122,f526]) ).
fof(f4133,plain,
( ~ spl27_7
| ~ spl27_338
| spl27_339
| ~ spl27_185
| ~ spl27_327 ),
inference(avatar_split_clause,[],[f3980,f3916,f1533,f4130,f4126,f383]) ).
fof(f4130,plain,
( spl27_339
<=> sP1(sdtpldt0(xp,smndt0(sz10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_339])]) ).
fof(f1533,plain,
( spl27_185
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sP1(sdtpldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_185])]) ).
fof(f3916,plain,
( spl27_327
<=> sdtpldt0(xp,smndt0(sz10)) = sdtpldt0(sdtpldt0(xp,xp),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_327])]) ).
fof(f3980,plain,
( sP1(sdtpldt0(xp,smndt0(sz10)))
| ~ aInteger0(sdtpldt0(xp,xp))
| ~ aInteger0(sz10)
| ~ spl27_185
| ~ spl27_327 ),
inference(superposition,[],[f1534,f3918]) ).
fof(f3918,plain,
( sdtpldt0(xp,smndt0(sz10)) = sdtpldt0(sdtpldt0(xp,xp),sz10)
| ~ spl27_327 ),
inference(avatar_component_clause,[],[f3916]) ).
fof(f1534,plain,
( ! [X0,X1] :
( sP1(sdtpldt0(X1,X0))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl27_185 ),
inference(avatar_component_clause,[],[f1533]) ).
fof(f4124,plain,
( spl27_337
| ~ spl27_56
| ~ spl27_132 ),
inference(avatar_split_clause,[],[f1141,f1117,f664,f4122]) ).
fof(f4122,plain,
( spl27_337
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sK16(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK16(X2,X3)))
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aElementOf0(X3,X2)
| ~ sP2(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_337])]) ).
fof(f1117,plain,
( spl27_132
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_132])]) ).
fof(f1141,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sK16(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK16(X2,X3)))
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aElementOf0(X3,X2)
| ~ sP2(X2) )
| ~ spl27_56
| ~ spl27_132 ),
inference(resolution,[],[f1118,f665]) ).
fof(f1118,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X2)
| sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl27_132 ),
inference(avatar_component_clause,[],[f1117]) ).
fof(f4102,plain,
( spl27_336
| ~ spl27_52
| ~ spl27_132 ),
inference(avatar_split_clause,[],[f1138,f1117,f615,f4100]) ).
fof(f4100,plain,
( spl27_336
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(X2,X3)))
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(X3)
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_336])]) ).
fof(f1138,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(X2,X3)))
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(X3)
| ~ aInteger0(X2) )
| ~ spl27_52
| ~ spl27_132 ),
inference(resolution,[],[f1118,f616]) ).
fof(f4098,plain,
( spl27_335
| ~ spl27_53
| ~ spl27_132 ),
inference(avatar_split_clause,[],[f1137,f1117,f619,f4096]) ).
fof(f4096,plain,
( spl27_335
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(X2,X3)))
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(X3)
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_335])]) ).
fof(f1137,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(X2,X3)))
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(X3)
| ~ aInteger0(X2) )
| ~ spl27_53
| ~ spl27_132 ),
inference(resolution,[],[f1118,f620]) ).
fof(f3985,plain,
( spl27_334
| ~ spl27_38
| ~ spl27_132 ),
inference(avatar_split_clause,[],[f1140,f1117,f525,f3983]) ).
fof(f3983,plain,
( spl27_334
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sK14(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK14(X2,X3)))
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ sP0(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_334])]) ).
fof(f1140,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sK14(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK14(X2,X3)))
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ sP0(X2,X3) )
| ~ spl27_38
| ~ spl27_132 ),
inference(resolution,[],[f1118,f526]) ).
fof(f3979,plain,
( spl27_333
| ~ spl27_43
| ~ spl27_130 ),
inference(avatar_split_clause,[],[f1127,f1109,f578,f3977]) ).
fof(f578,plain,
( spl27_43
<=> ! [X0,X1] :
( sP0(X0,X1)
| ~ aDivisorOf0(X1,X0)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_43])]) ).
fof(f1127,plain,
( ! [X2,X0,X1] :
( ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| sP0(sdtpldt0(X0,smndt0(X1)),X2)
| ~ sP1(sdtpldt0(X0,smndt0(X1))) )
| ~ spl27_43
| ~ spl27_130 ),
inference(resolution,[],[f1110,f579]) ).
fof(f579,plain,
( ! [X0,X1] :
( ~ aDivisorOf0(X1,X0)
| sP0(X0,X1)
| ~ sP1(X0) )
| ~ spl27_43 ),
inference(avatar_component_clause,[],[f578]) ).
fof(f3975,plain,
( spl27_332
| ~ spl27_56
| ~ spl27_127 ),
inference(avatar_split_clause,[],[f1096,f1070,f664,f3973]) ).
fof(f3973,plain,
( spl27_332
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(X0,sdtasdt0(X1,sK16(X2,X3))) = sdtasdt0(sdtasdt0(X0,X1),sK16(X2,X3))
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aElementOf0(X3,X2)
| ~ sP2(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_332])]) ).
fof(f1070,plain,
( spl27_127
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X0,X1),X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_127])]) ).
fof(f1096,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,sK16(X2,X3))) = sdtasdt0(sdtasdt0(X0,X1),sK16(X2,X3))
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aElementOf0(X3,X2)
| ~ sP2(X2) )
| ~ spl27_56
| ~ spl27_127 ),
inference(resolution,[],[f1071,f665]) ).
fof(f1071,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X2)
| sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X0,X1),X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl27_127 ),
inference(avatar_component_clause,[],[f1070]) ).
fof(f3971,plain,
( spl27_331
| ~ spl27_56
| ~ spl27_126 ),
inference(avatar_split_clause,[],[f1087,f1066,f664,f3969]) ).
fof(f3969,plain,
( spl27_331
<=> ! [X0,X3,X2,X1] :
( sdtpldt0(X0,sdtpldt0(X1,sK16(X2,X3))) = sdtpldt0(sdtpldt0(X0,X1),sK16(X2,X3))
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aElementOf0(X3,X2)
| ~ sP2(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_331])]) ).
fof(f1066,plain,
( spl27_126
<=> ! [X2,X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_126])]) ).
fof(f1087,plain,
( ! [X2,X3,X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,sK16(X2,X3))) = sdtpldt0(sdtpldt0(X0,X1),sK16(X2,X3))
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aElementOf0(X3,X2)
| ~ sP2(X2) )
| ~ spl27_56
| ~ spl27_126 ),
inference(resolution,[],[f1067,f665]) ).
fof(f1067,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X2)
| sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl27_126 ),
inference(avatar_component_clause,[],[f1066]) ).
fof(f3931,plain,
( spl27_330
| ~ spl27_52
| ~ spl27_127 ),
inference(avatar_split_clause,[],[f1093,f1070,f615,f3929]) ).
fof(f3929,plain,
( spl27_330
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(X2,X3))) = sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(X2,X3))
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(X3)
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_330])]) ).
fof(f1093,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(X2,X3))) = sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(X2,X3))
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(X3)
| ~ aInteger0(X2) )
| ~ spl27_52
| ~ spl27_127 ),
inference(resolution,[],[f1071,f616]) ).
fof(f3927,plain,
( spl27_329
| ~ spl27_53
| ~ spl27_127 ),
inference(avatar_split_clause,[],[f1092,f1070,f619,f3925]) ).
fof(f3925,plain,
( spl27_329
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(X2,X3))) = sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(X2,X3))
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(X3)
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_329])]) ).
fof(f1092,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(X2,X3))) = sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(X2,X3))
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(X3)
| ~ aInteger0(X2) )
| ~ spl27_53
| ~ spl27_127 ),
inference(resolution,[],[f1071,f620]) ).
fof(f3923,plain,
( spl27_328
| ~ spl27_52
| ~ spl27_126 ),
inference(avatar_split_clause,[],[f1084,f1066,f615,f3921]) ).
fof(f3921,plain,
( spl27_328
<=> ! [X0,X3,X2,X1] :
( sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(X2,X3))) = sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(X2,X3))
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(X3)
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_328])]) ).
fof(f1084,plain,
( ! [X2,X3,X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(X2,X3))) = sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(X2,X3))
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(X3)
| ~ aInteger0(X2) )
| ~ spl27_52
| ~ spl27_126 ),
inference(resolution,[],[f1067,f616]) ).
fof(f3919,plain,
( spl27_327
| ~ spl27_4
| ~ spl27_310 ),
inference(avatar_split_clause,[],[f3610,f3460,f368,f3916]) ).
fof(f3610,plain,
( sdtpldt0(xp,smndt0(sz10)) = sdtpldt0(sdtpldt0(xp,xp),sz10)
| ~ spl27_4
| ~ spl27_310 ),
inference(resolution,[],[f3461,f370]) ).
fof(f3914,plain,
( spl27_326
| ~ spl27_53
| ~ spl27_126 ),
inference(avatar_split_clause,[],[f1083,f1066,f619,f3912]) ).
fof(f3912,plain,
( spl27_326
<=> ! [X0,X3,X2,X1] :
( sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(X2,X3))) = sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3))
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(X3)
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_326])]) ).
fof(f1083,plain,
( ! [X2,X3,X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(X2,X3))) = sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3))
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(X3)
| ~ aInteger0(X2) )
| ~ spl27_53
| ~ spl27_126 ),
inference(resolution,[],[f1067,f620]) ).
fof(f3896,plain,
( spl27_325
| ~ spl27_16
| ~ spl27_133 ),
inference(avatar_split_clause,[],[f1144,f1121,f430,f3894]) ).
fof(f3894,plain,
( spl27_325
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),smndt0(X2)) = sdtpldt0(sdtasdt0(X0,smndt0(X2)),sdtasdt0(X1,smndt0(X2)))
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_325])]) ).
fof(f1144,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),smndt0(X2)) = sdtpldt0(sdtasdt0(X0,smndt0(X2)),sdtasdt0(X1,smndt0(X2)))
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(X2) )
| ~ spl27_16
| ~ spl27_133 ),
inference(resolution,[],[f1122,f431]) ).
fof(f3892,plain,
( spl27_324
| ~ spl27_38
| ~ spl27_127 ),
inference(avatar_split_clause,[],[f1095,f1070,f525,f3890]) ).
fof(f3890,plain,
( spl27_324
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(X0,sdtasdt0(X1,sK14(X2,X3))) = sdtasdt0(sdtasdt0(X0,X1),sK14(X2,X3))
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ sP0(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_324])]) ).
fof(f1095,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,sK14(X2,X3))) = sdtasdt0(sdtasdt0(X0,X1),sK14(X2,X3))
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ sP0(X2,X3) )
| ~ spl27_38
| ~ spl27_127 ),
inference(resolution,[],[f1071,f526]) ).
fof(f3888,plain,
( spl27_323
| ~ spl27_38
| ~ spl27_126 ),
inference(avatar_split_clause,[],[f1086,f1066,f525,f3886]) ).
fof(f3886,plain,
( spl27_323
<=> ! [X0,X3,X2,X1] :
( sdtpldt0(X0,sdtpldt0(X1,sK14(X2,X3))) = sdtpldt0(sdtpldt0(X0,X1),sK14(X2,X3))
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ sP0(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_323])]) ).
fof(f1086,plain,
( ! [X2,X3,X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,sK14(X2,X3))) = sdtpldt0(sdtpldt0(X0,X1),sK14(X2,X3))
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ sP0(X2,X3) )
| ~ spl27_38
| ~ spl27_126 ),
inference(resolution,[],[f1067,f526]) ).
fof(f3874,plain,
( spl27_322
| ~ spl27_16
| ~ spl27_132 ),
inference(avatar_split_clause,[],[f1135,f1117,f430,f3872]) ).
fof(f3872,plain,
( spl27_322
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,smndt0(X2))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,smndt0(X2)))
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_322])]) ).
fof(f1135,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,smndt0(X2))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,smndt0(X2)))
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(X2) )
| ~ spl27_16
| ~ spl27_132 ),
inference(resolution,[],[f1118,f431]) ).
fof(f3841,plain,
( spl27_321
| ~ spl27_105
| ~ spl27_135 ),
inference(avatar_split_clause,[],[f1164,f1156,f958,f3839]) ).
fof(f3839,plain,
( spl27_321
<=> ! [X0,X1] :
( sP6(X0,X1)
| ~ aElementOf0(X1,X0)
| ~ aInteger0(sK19(X0,X1))
| ~ aElementOf0(sK19(X0,X1),X1)
| aElementOf0(sK20(X0,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_321])]) ).
fof(f958,plain,
( spl27_105
<=> ! [X0,X1] :
( sP6(X0,X1)
| aElementOf0(sK20(X0,X1),X0)
| aElementOf0(sK19(X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_105])]) ).
fof(f1156,plain,
( spl27_135
<=> ! [X0,X1,X3] :
( sP6(X0,X1)
| ~ aElementOf0(sK19(X0,X1),X3)
| ~ aElementOf0(X3,X0)
| ~ aInteger0(sK19(X0,X1))
| ~ aElementOf0(sK19(X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_135])]) ).
fof(f1164,plain,
( ! [X0,X1] :
( sP6(X0,X1)
| ~ aElementOf0(X1,X0)
| ~ aInteger0(sK19(X0,X1))
| ~ aElementOf0(sK19(X0,X1),X1)
| aElementOf0(sK20(X0,X1),X0) )
| ~ spl27_105
| ~ spl27_135 ),
inference(duplicate_literal_removal,[],[f1159]) ).
fof(f1159,plain,
( ! [X0,X1] :
( sP6(X0,X1)
| ~ aElementOf0(X1,X0)
| ~ aInteger0(sK19(X0,X1))
| ~ aElementOf0(sK19(X0,X1),X1)
| aElementOf0(sK20(X0,X1),X0)
| sP6(X0,X1) )
| ~ spl27_105
| ~ spl27_135 ),
inference(resolution,[],[f1157,f959]) ).
fof(f959,plain,
( ! [X0,X1] :
( aElementOf0(sK20(X0,X1),X0)
| aElementOf0(sK19(X0,X1),X1)
| sP6(X0,X1) )
| ~ spl27_105 ),
inference(avatar_component_clause,[],[f958]) ).
fof(f1157,plain,
( ! [X3,X0,X1] :
( ~ aElementOf0(sK19(X0,X1),X3)
| sP6(X0,X1)
| ~ aElementOf0(X3,X0)
| ~ aInteger0(sK19(X0,X1))
| ~ aElementOf0(sK19(X0,X1),X1) )
| ~ spl27_135 ),
inference(avatar_component_clause,[],[f1156]) ).
fof(f3837,plain,
( spl27_320
| ~ spl27_63
| ~ spl27_133 ),
inference(avatar_split_clause,[],[f1145,f1121,f692,f3835]) ).
fof(f3835,plain,
( spl27_320
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),smndt0(sz10)) = sdtpldt0(sdtasdt0(X0,smndt0(sz10)),sdtasdt0(X1,smndt0(sz10)))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_320])]) ).
fof(f1145,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),smndt0(sz10)) = sdtpldt0(sdtasdt0(X0,smndt0(sz10)),sdtasdt0(X1,smndt0(sz10)))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl27_63
| ~ spl27_133 ),
inference(resolution,[],[f1122,f693]) ).
fof(f3770,plain,
( spl27_319
| ~ spl27_63
| ~ spl27_132 ),
inference(avatar_split_clause,[],[f1136,f1117,f692,f3768]) ).
fof(f1136,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,smndt0(sz10))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,smndt0(sz10)))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl27_63
| ~ spl27_132 ),
inference(resolution,[],[f1118,f693]) ).
fof(f3766,plain,
( spl27_318
| ~ spl27_16
| ~ spl27_127 ),
inference(avatar_split_clause,[],[f1090,f1070,f430,f3764]) ).
fof(f3764,plain,
( spl27_318
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,smndt0(X2))) = sdtasdt0(sdtasdt0(X0,X1),smndt0(X2))
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_318])]) ).
fof(f1090,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,smndt0(X2))) = sdtasdt0(sdtasdt0(X0,X1),smndt0(X2))
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(X2) )
| ~ spl27_16
| ~ spl27_127 ),
inference(resolution,[],[f1071,f431]) ).
fof(f3762,plain,
( spl27_317
| ~ spl27_16
| ~ spl27_126 ),
inference(avatar_split_clause,[],[f1081,f1066,f430,f3760]) ).
fof(f3760,plain,
( spl27_317
<=> ! [X2,X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,smndt0(X2))) = sdtpldt0(sdtpldt0(X0,X1),smndt0(X2))
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_317])]) ).
fof(f1081,plain,
( ! [X2,X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,smndt0(X2))) = sdtpldt0(sdtpldt0(X0,X1),smndt0(X2))
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(X2) )
| ~ spl27_16
| ~ spl27_126 ),
inference(resolution,[],[f1067,f431]) ).
fof(f3758,plain,
( spl27_316
| ~ spl27_63
| ~ spl27_189
| ~ spl27_292
| ~ spl27_310 ),
inference(avatar_split_clause,[],[f3618,f3460,f3082,f1665,f692,f3755]) ).
fof(f3755,plain,
( spl27_316
<=> xp = sdtpldt0(sdtpldt0(xp,smndt0(sz10)),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_316])]) ).
fof(f3618,plain,
( xp = sdtpldt0(sdtpldt0(xp,smndt0(sz10)),sz10)
| ~ spl27_63
| ~ spl27_189
| ~ spl27_292
| ~ spl27_310 ),
inference(forward_demodulation,[],[f3617,f3084]) ).
fof(f3617,plain,
( sdtpldt0(smndt0(sz10),smndt0(sz10)) = sdtpldt0(sdtpldt0(xp,smndt0(sz10)),sz10)
| ~ spl27_63
| ~ spl27_189
| ~ spl27_310 ),
inference(forward_demodulation,[],[f3607,f1675]) ).
fof(f3607,plain,
( sdtpldt0(smndt0(sz10),smndt0(sz10)) = sdtpldt0(sdtpldt0(smndt0(sz10),xp),sz10)
| ~ spl27_63
| ~ spl27_310 ),
inference(resolution,[],[f3461,f693]) ).
fof(f3753,plain,
( spl27_315
| ~ spl27_99
| ~ spl27_117 ),
inference(avatar_split_clause,[],[f1032,f1018,f908,f3751]) ).
fof(f3751,plain,
( spl27_315
<=> ! [X2,X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ aElementOf0(X0,X2)
| ~ aInteger0(X0)
| aElementOf0(X0,sdtslmnbsdt0(X2,X1))
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_315])]) ).
fof(f908,plain,
( spl27_99
<=> ! [X0,X1] :
( sP10(X1,X0,sdtslmnbsdt0(X0,X1))
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_99])]) ).
fof(f1018,plain,
( spl27_117
<=> ! [X4,X0,X2,X1] :
( aElementOf0(X4,X2)
| ~ aElementOf0(X4,X0)
| ~ aElementOf0(X4,X1)
| ~ aInteger0(X4)
| ~ sP10(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_117])]) ).
fof(f1032,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ aElementOf0(X0,X2)
| ~ aInteger0(X0)
| aElementOf0(X0,sdtslmnbsdt0(X2,X1))
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395) )
| ~ spl27_99
| ~ spl27_117 ),
inference(resolution,[],[f1019,f909]) ).
fof(f909,plain,
( ! [X0,X1] :
( sP10(X1,X0,sdtslmnbsdt0(X0,X1))
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) )
| ~ spl27_99 ),
inference(avatar_component_clause,[],[f908]) ).
fof(f1019,plain,
( ! [X2,X0,X1,X4] :
( ~ sP10(X0,X1,X2)
| ~ aElementOf0(X4,X0)
| ~ aElementOf0(X4,X1)
| ~ aInteger0(X4)
| aElementOf0(X4,X2) )
| ~ spl27_117 ),
inference(avatar_component_clause,[],[f1018]) ).
fof(f3668,plain,
( spl27_314
| ~ spl27_66
| ~ spl27_98 ),
inference(avatar_split_clause,[],[f935,f904,f747,f3666]) ).
fof(f3666,plain,
( spl27_314
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| sz00 = X1
| ~ aInteger0(X1)
| sdtasdt0(X1,X0) = sdtasdt0(X1,sK14(sdtasdt0(X1,X0),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_314])]) ).
fof(f935,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| sz00 = X1
| ~ aInteger0(X1)
| sdtasdt0(X1,X0) = sdtasdt0(X1,sK14(sdtasdt0(X1,X0),X1)) )
| ~ spl27_66
| ~ spl27_98 ),
inference(resolution,[],[f905,f748]) ).
fof(f3664,plain,
( spl27_313
| ~ spl27_56
| ~ spl27_85 ),
inference(avatar_split_clause,[],[f857,f825,f664,f3662]) ).
fof(f3662,plain,
( spl27_313
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sK16(X1,X2)) = sdtasdt0(sK16(X1,X2),X0)
| ~ aInteger0(X0)
| ~ aElementOf0(X2,X1)
| ~ sP2(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_313])]) ).
fof(f825,plain,
( spl27_85
<=> ! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_85])]) ).
fof(f857,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sK16(X1,X2)) = sdtasdt0(sK16(X1,X2),X0)
| ~ aInteger0(X0)
| ~ aElementOf0(X2,X1)
| ~ sP2(X1) )
| ~ spl27_56
| ~ spl27_85 ),
inference(resolution,[],[f826,f665]) ).
fof(f826,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aInteger0(X0) )
| ~ spl27_85 ),
inference(avatar_component_clause,[],[f825]) ).
fof(f3660,plain,
( spl27_312
| ~ spl27_56
| ~ spl27_84 ),
inference(avatar_split_clause,[],[f848,f821,f664,f3658]) ).
fof(f3658,plain,
( spl27_312
<=> ! [X2,X0,X1] :
( sdtpldt0(X0,sK16(X1,X2)) = sdtpldt0(sK16(X1,X2),X0)
| ~ aInteger0(X0)
| ~ aElementOf0(X2,X1)
| ~ sP2(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_312])]) ).
fof(f821,plain,
( spl27_84
<=> ! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_84])]) ).
fof(f848,plain,
( ! [X2,X0,X1] :
( sdtpldt0(X0,sK16(X1,X2)) = sdtpldt0(sK16(X1,X2),X0)
| ~ aInteger0(X0)
| ~ aElementOf0(X2,X1)
| ~ sP2(X1) )
| ~ spl27_56
| ~ spl27_84 ),
inference(resolution,[],[f822,f665]) ).
fof(f822,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aInteger0(X0) )
| ~ spl27_84 ),
inference(avatar_component_clause,[],[f821]) ).
fof(f3466,plain,
( spl27_311
| ~ spl27_7
| ~ spl27_133 ),
inference(avatar_split_clause,[],[f1143,f1121,f383,f3464]) ).
fof(f1143,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X1,sz10))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl27_7
| ~ spl27_133 ),
inference(resolution,[],[f1122,f385]) ).
fof(f3462,plain,
( spl27_310
| ~ spl27_4
| ~ spl27_191
| ~ spl27_281 ),
inference(avatar_split_clause,[],[f3026,f2865,f1696,f368,f3460]) ).
fof(f3026,plain,
( ! [X0] :
( sdtpldt0(X0,smndt0(sz10)) = sdtpldt0(sdtpldt0(X0,xp),sz10)
| ~ aInteger0(X0) )
| ~ spl27_4
| ~ spl27_191
| ~ spl27_281 ),
inference(forward_demodulation,[],[f3021,f1698]) ).
fof(f3021,plain,
( ! [X0] :
( sdtpldt0(X0,sdtpldt0(xp,sz10)) = sdtpldt0(sdtpldt0(X0,xp),sz10)
| ~ aInteger0(X0) )
| ~ spl27_4
| ~ spl27_281 ),
inference(resolution,[],[f2866,f370]) ).
fof(f3458,plain,
( spl27_309
| ~ spl27_8
| ~ spl27_133 ),
inference(avatar_split_clause,[],[f1142,f1121,f388,f3456]) ).
fof(f1142,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X1,sz00))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl27_8
| ~ spl27_133 ),
inference(resolution,[],[f1122,f390]) ).
fof(f3454,plain,
( spl27_308
| ~ spl27_7
| ~ spl27_132 ),
inference(avatar_split_clause,[],[f1134,f1117,f383,f3452]) ).
fof(f1134,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sz10)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz10))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl27_7
| ~ spl27_132 ),
inference(resolution,[],[f1118,f385]) ).
fof(f3450,plain,
( spl27_307
| ~ spl27_8
| ~ spl27_132 ),
inference(avatar_split_clause,[],[f1133,f1117,f388,f3448]) ).
fof(f1133,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sz00)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz00))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl27_8
| ~ spl27_132 ),
inference(resolution,[],[f1118,f390]) ).
fof(f3446,plain,
( spl27_306
| ~ spl27_63
| ~ spl27_127 ),
inference(avatar_split_clause,[],[f1091,f1070,f692,f3444]) ).
fof(f1091,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),smndt0(sz10)) = sdtasdt0(X0,sdtasdt0(X1,smndt0(sz10)))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl27_63
| ~ spl27_127 ),
inference(resolution,[],[f1071,f693]) ).
fof(f3442,plain,
( spl27_305
| ~ spl27_63
| ~ spl27_126 ),
inference(avatar_split_clause,[],[f1082,f1066,f692,f3440]) ).
fof(f1082,plain,
( ! [X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,smndt0(sz10))) = sdtpldt0(sdtpldt0(X0,X1),smndt0(sz10))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl27_63
| ~ spl27_126 ),
inference(resolution,[],[f1067,f693]) ).
fof(f3438,plain,
( spl27_304
| ~ spl27_100
| ~ spl27_107 ),
inference(avatar_split_clause,[],[f976,f966,f912,f3436]) ).
fof(f3436,plain,
( spl27_304
<=> ! [X2,X0,X1] :
( aElementOf0(X0,X1)
| ~ aElementOf0(X0,sdtbsmnsldt0(X1,X2))
| aElementOf0(X0,X2)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X1,cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_304])]) ).
fof(f912,plain,
( spl27_100
<=> ! [X0,X1] :
( sP11(X1,X0,sdtbsmnsldt0(X0,X1))
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_100])]) ).
fof(f966,plain,
( spl27_107
<=> ! [X2,X4,X0,X1] :
( aElementOf0(X4,X0)
| aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ sP11(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_107])]) ).
fof(f976,plain,
( ! [X2,X0,X1] :
( aElementOf0(X0,X1)
| ~ aElementOf0(X0,sdtbsmnsldt0(X1,X2))
| aElementOf0(X0,X2)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X1,cS1395) )
| ~ spl27_100
| ~ spl27_107 ),
inference(resolution,[],[f967,f913]) ).
fof(f913,plain,
( ! [X0,X1] :
( sP11(X1,X0,sdtbsmnsldt0(X0,X1))
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) )
| ~ spl27_100 ),
inference(avatar_component_clause,[],[f912]) ).
fof(f967,plain,
( ! [X2,X0,X1,X4] :
( ~ sP11(X0,X1,X2)
| aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| aElementOf0(X4,X0) )
| ~ spl27_107 ),
inference(avatar_component_clause,[],[f966]) ).
fof(f3434,plain,
( spl27_303
| ~ spl27_74
| ~ spl27_90 ),
inference(avatar_split_clause,[],[f925,f871,f780,f3432]) ).
fof(f3432,plain,
( spl27_303
<=> ! [X2,X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP2(X1)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,sK16(X1,X0)))
| aElementOf0(X2,X1)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_303])]) ).
fof(f780,plain,
( spl27_74
<=> ! [X0,X1,X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_74])]) ).
fof(f871,plain,
( spl27_90
<=> ! [X0,X3] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X3,sK16(X0,X3)),X0)
| ~ aElementOf0(X3,X0)
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_90])]) ).
fof(f925,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP2(X1)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,sK16(X1,X0)))
| aElementOf0(X2,X1)
| ~ aSet0(X1) )
| ~ spl27_74
| ~ spl27_90 ),
inference(resolution,[],[f872,f781]) ).
fof(f781,plain,
( ! [X3,X0,X1] :
( ~ aSubsetOf0(X1,X0)
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X0)
| ~ aSet0(X0) )
| ~ spl27_74 ),
inference(avatar_component_clause,[],[f780]) ).
fof(f872,plain,
( ! [X3,X0] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X3,sK16(X0,X3)),X0)
| ~ aElementOf0(X3,X0)
| ~ sP2(X0) )
| ~ spl27_90 ),
inference(avatar_component_clause,[],[f871]) ).
fof(f3430,plain,
( spl27_302
| ~ spl27_52
| ~ spl27_85 ),
inference(avatar_split_clause,[],[f854,f825,f615,f3428]) ).
fof(f3428,plain,
( spl27_302
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X1,X2),X0)
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_302])]) ).
fof(f854,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X1,X2),X0)
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) )
| ~ spl27_52
| ~ spl27_85 ),
inference(resolution,[],[f826,f616]) ).
fof(f3426,plain,
( spl27_301
| ~ spl27_53
| ~ spl27_85 ),
inference(avatar_split_clause,[],[f853,f825,f619,f3424]) ).
fof(f3424,plain,
( spl27_301
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtasdt0(sdtpldt0(X1,X2),X0)
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_301])]) ).
fof(f853,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtasdt0(sdtpldt0(X1,X2),X0)
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) )
| ~ spl27_53
| ~ spl27_85 ),
inference(resolution,[],[f826,f620]) ).
fof(f3422,plain,
( spl27_300
| ~ spl27_52
| ~ spl27_84 ),
inference(avatar_split_clause,[],[f845,f821,f615,f3420]) ).
fof(f3420,plain,
( spl27_300
<=> ! [X2,X0,X1] :
( sdtpldt0(X0,sdtasdt0(X1,X2)) = sdtpldt0(sdtasdt0(X1,X2),X0)
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_300])]) ).
fof(f845,plain,
( ! [X2,X0,X1] :
( sdtpldt0(X0,sdtasdt0(X1,X2)) = sdtpldt0(sdtasdt0(X1,X2),X0)
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) )
| ~ spl27_52
| ~ spl27_84 ),
inference(resolution,[],[f822,f616]) ).
fof(f3412,plain,
( spl27_299
| ~ spl27_53
| ~ spl27_84 ),
inference(avatar_split_clause,[],[f844,f821,f619,f3410]) ).
fof(f3410,plain,
( spl27_299
<=> ! [X2,X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X1,X2),X0)
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_299])]) ).
fof(f844,plain,
( ! [X2,X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X1,X2),X0)
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) )
| ~ spl27_53
| ~ spl27_84 ),
inference(resolution,[],[f822,f620]) ).
fof(f3384,plain,
( spl27_298
| ~ spl27_4
| ~ spl27_133 ),
inference(avatar_split_clause,[],[f1148,f1121,f368,f3382]) ).
fof(f1148,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xp) = sdtpldt0(sdtasdt0(X0,xp),sdtasdt0(X1,xp))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl27_4
| ~ spl27_133 ),
inference(resolution,[],[f1122,f370]) ).
fof(f3380,plain,
( spl27_297
| ~ spl27_4
| ~ spl27_132 ),
inference(avatar_split_clause,[],[f1139,f1117,f368,f3378]) ).
fof(f1139,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xp)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xp))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl27_4
| ~ spl27_132 ),
inference(resolution,[],[f1118,f370]) ).
fof(f3101,plain,
( spl27_296
| ~ spl27_138 ),
inference(avatar_split_clause,[],[f1189,f1178,f3099]) ).
fof(f3099,plain,
( spl27_296
<=> ! [X4,X5] :
( aElementOf0(sK26(X4,X4,X5),X5)
| aElementOf0(sK26(X4,X4,X5),X4)
| sP11(X4,X4,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_296])]) ).
fof(f1178,plain,
( spl27_138
<=> ! [X2,X0,X1] :
( sP11(X0,X1,X2)
| aElementOf0(sK26(X0,X1,X2),X0)
| aElementOf0(sK26(X0,X1,X2),X1)
| aElementOf0(sK26(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_138])]) ).
fof(f1189,plain,
( ! [X4,X5] :
( aElementOf0(sK26(X4,X4,X5),X5)
| aElementOf0(sK26(X4,X4,X5),X4)
| sP11(X4,X4,X5) )
| ~ spl27_138 ),
inference(factoring,[],[f1179]) ).
fof(f1179,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK26(X0,X1,X2),X2)
| aElementOf0(sK26(X0,X1,X2),X1)
| aElementOf0(sK26(X0,X1,X2),X0)
| sP11(X0,X1,X2) )
| ~ spl27_138 ),
inference(avatar_component_clause,[],[f1178]) ).
fof(f3097,plain,
( spl27_295
| ~ spl27_138 ),
inference(avatar_split_clause,[],[f1188,f1178,f3095]) ).
fof(f3095,plain,
( spl27_295
<=> ! [X2,X3] :
( aElementOf0(sK26(X2,X3,X2),X2)
| aElementOf0(sK26(X2,X3,X2),X3)
| sP11(X2,X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_295])]) ).
fof(f1188,plain,
( ! [X2,X3] :
( aElementOf0(sK26(X2,X3,X2),X2)
| aElementOf0(sK26(X2,X3,X2),X3)
| sP11(X2,X3,X2) )
| ~ spl27_138 ),
inference(factoring,[],[f1179]) ).
fof(f3093,plain,
( spl27_294
| ~ spl27_138 ),
inference(avatar_split_clause,[],[f1187,f1178,f3091]) ).
fof(f1187,plain,
( ! [X0,X1] :
( aElementOf0(sK26(X0,X1,X1),X1)
| aElementOf0(sK26(X0,X1,X1),X0)
| sP11(X0,X1,X1) )
| ~ spl27_138 ),
inference(factoring,[],[f1179]) ).
fof(f3089,plain,
( spl27_293
| ~ spl27_96
| ~ spl27_100 ),
inference(avatar_split_clause,[],[f942,f912,f896,f3087]) ).
fof(f3087,plain,
( spl27_293
<=> ! [X2,X0,X1] :
( ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| ~ aElementOf0(X2,X1)
| ~ aInteger0(X2)
| aElementOf0(X2,sdtbsmnsldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_293])]) ).
fof(f896,plain,
( spl27_96
<=> ! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElementOf0(X4,X1)
| ~ aInteger0(X4)
| ~ sP11(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_96])]) ).
fof(f942,plain,
( ! [X2,X0,X1] :
( ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| ~ aElementOf0(X2,X1)
| ~ aInteger0(X2)
| aElementOf0(X2,sdtbsmnsldt0(X1,X0)) )
| ~ spl27_96
| ~ spl27_100 ),
inference(resolution,[],[f913,f897]) ).
fof(f897,plain,
( ! [X2,X0,X1,X4] :
( ~ sP11(X0,X1,X2)
| ~ aElementOf0(X4,X1)
| ~ aInteger0(X4)
| aElementOf0(X4,X2) )
| ~ spl27_96 ),
inference(avatar_component_clause,[],[f896]) ).
fof(f3085,plain,
( spl27_292
| ~ spl27_63
| ~ spl27_108
| ~ spl27_164
| ~ spl27_272 ),
inference(avatar_split_clause,[],[f2881,f2817,f1381,f978,f692,f3082]) ).
fof(f2817,plain,
( spl27_272
<=> ! [X0] :
( sdtpldt0(X0,smndt0(sz10)) = sdtpldt0(sdtpldt0(X0,sz10),xp)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_272])]) ).
fof(f2881,plain,
( xp = sdtpldt0(smndt0(sz10),smndt0(sz10))
| ~ spl27_63
| ~ spl27_108
| ~ spl27_164
| ~ spl27_272 ),
inference(forward_demodulation,[],[f2880,f980]) ).
fof(f2880,plain,
( sdtpldt0(sz00,xp) = sdtpldt0(smndt0(sz10),smndt0(sz10))
| ~ spl27_63
| ~ spl27_164
| ~ spl27_272 ),
inference(forward_demodulation,[],[f2871,f1383]) ).
fof(f2871,plain,
( sdtpldt0(smndt0(sz10),smndt0(sz10)) = sdtpldt0(sdtpldt0(smndt0(sz10),sz10),xp)
| ~ spl27_63
| ~ spl27_272 ),
inference(resolution,[],[f2818,f693]) ).
fof(f2818,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,smndt0(sz10)) = sdtpldt0(sdtpldt0(X0,sz10),xp) )
| ~ spl27_272 ),
inference(avatar_component_clause,[],[f2817]) ).
fof(f3080,plain,
( spl27_291
| ~ spl27_97
| ~ spl27_100 ),
inference(avatar_split_clause,[],[f941,f912,f900,f3078]) ).
fof(f3078,plain,
( spl27_291
<=> ! [X2,X0,X1] :
( ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| ~ aElementOf0(X2,X0)
| ~ aInteger0(X2)
| aElementOf0(X2,sdtbsmnsldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_291])]) ).
fof(f900,plain,
( spl27_97
<=> ! [X4,X0,X2,X1] :
( aElementOf0(X4,X2)
| ~ aElementOf0(X4,X0)
| ~ aInteger0(X4)
| ~ sP11(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_97])]) ).
fof(f941,plain,
( ! [X2,X0,X1] :
( ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| ~ aElementOf0(X2,X0)
| ~ aInteger0(X2)
| aElementOf0(X2,sdtbsmnsldt0(X1,X0)) )
| ~ spl27_97
| ~ spl27_100 ),
inference(resolution,[],[f913,f901]) ).
fof(f901,plain,
( ! [X2,X0,X1,X4] :
( ~ sP11(X0,X1,X2)
| ~ aElementOf0(X4,X0)
| ~ aInteger0(X4)
| aElementOf0(X4,X2) )
| ~ spl27_97 ),
inference(avatar_component_clause,[],[f900]) ).
fof(f3076,plain,
( spl27_290
| ~ spl27_44
| ~ spl27_98 ),
inference(avatar_split_clause,[],[f936,f904,f582,f3074]) ).
fof(f3074,plain,
( spl27_290
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| sz00 = X1
| ~ aInteger0(X1)
| aDivisorOf0(X1,sdtasdt0(X1,X0))
| ~ sP1(sdtasdt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_290])]) ).
fof(f582,plain,
( spl27_44
<=> ! [X0,X1] :
( aDivisorOf0(X1,X0)
| ~ sP0(X0,X1)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_44])]) ).
fof(f936,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| sz00 = X1
| ~ aInteger0(X1)
| aDivisorOf0(X1,sdtasdt0(X1,X0))
| ~ sP1(sdtasdt0(X1,X0)) )
| ~ spl27_44
| ~ spl27_98 ),
inference(resolution,[],[f905,f583]) ).
fof(f583,plain,
( ! [X0,X1] :
( ~ sP0(X0,X1)
| aDivisorOf0(X1,X0)
| ~ sP1(X0) )
| ~ spl27_44 ),
inference(avatar_component_clause,[],[f582]) ).
fof(f3072,plain,
( spl27_289
| ~ spl27_45
| ~ spl27_94 ),
inference(avatar_split_clause,[],[f927,f888,f586,f3070]) ).
fof(f3070,plain,
( spl27_289
<=> ! [X0,X1] :
( sz00 = X0
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ isClosed0(szAzrzSzezqlpdtcmdtrp0(X1,X0))
| isOpen0(stldt0(szAzrzSzezqlpdtcmdtrp0(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_289])]) ).
fof(f586,plain,
( spl27_45
<=> ! [X0] :
( isOpen0(stldt0(X0))
| ~ isClosed0(X0)
| ~ aSubsetOf0(X0,cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_45])]) ).
fof(f888,plain,
( spl27_94
<=> ! [X0,X1] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),cS1395)
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_94])]) ).
fof(f927,plain,
( ! [X0,X1] :
( sz00 = X0
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ isClosed0(szAzrzSzezqlpdtcmdtrp0(X1,X0))
| isOpen0(stldt0(szAzrzSzezqlpdtcmdtrp0(X1,X0))) )
| ~ spl27_45
| ~ spl27_94 ),
inference(resolution,[],[f889,f587]) ).
fof(f587,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,cS1395)
| ~ isClosed0(X0)
| isOpen0(stldt0(X0)) )
| ~ spl27_45 ),
inference(avatar_component_clause,[],[f586]) ).
fof(f889,plain,
( ! [X0,X1] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),cS1395)
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl27_94 ),
inference(avatar_component_clause,[],[f888]) ).
fof(f3068,plain,
( spl27_288
| ~ spl27_38
| ~ spl27_85 ),
inference(avatar_split_clause,[],[f856,f825,f525,f3066]) ).
fof(f3066,plain,
( spl27_288
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sK14(X1,X2)) = sdtasdt0(sK14(X1,X2),X0)
| ~ aInteger0(X0)
| ~ sP0(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_288])]) ).
fof(f856,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sK14(X1,X2)) = sdtasdt0(sK14(X1,X2),X0)
| ~ aInteger0(X0)
| ~ sP0(X1,X2) )
| ~ spl27_38
| ~ spl27_85 ),
inference(resolution,[],[f826,f526]) ).
fof(f3064,plain,
( spl27_287
| ~ spl27_38
| ~ spl27_84 ),
inference(avatar_split_clause,[],[f847,f821,f525,f3062]) ).
fof(f3062,plain,
( spl27_287
<=> ! [X2,X0,X1] :
( sdtpldt0(X0,sK14(X1,X2)) = sdtpldt0(sK14(X1,X2),X0)
| ~ aInteger0(X0)
| ~ sP0(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_287])]) ).
fof(f847,plain,
( ! [X2,X0,X1] :
( sdtpldt0(X0,sK14(X1,X2)) = sdtpldt0(sK14(X1,X2),X0)
| ~ aInteger0(X0)
| ~ sP0(X1,X2) )
| ~ spl27_38
| ~ spl27_84 ),
inference(resolution,[],[f822,f526]) ).
fof(f3060,plain,
( spl27_286
| ~ spl27_55
| ~ spl27_56 ),
inference(avatar_split_clause,[],[f728,f664,f660,f3058]) ).
fof(f3058,plain,
( spl27_286
<=> ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP2(X1)
| smndt0(sK16(X1,X0)) = sdtasdt0(sK16(X1,X0),smndt0(sz10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_286])]) ).
fof(f660,plain,
( spl27_55
<=> ! [X0] :
( smndt0(X0) = sdtasdt0(X0,smndt0(sz10))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_55])]) ).
fof(f728,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP2(X1)
| smndt0(sK16(X1,X0)) = sdtasdt0(sK16(X1,X0),smndt0(sz10)) )
| ~ spl27_55
| ~ spl27_56 ),
inference(resolution,[],[f665,f661]) ).
fof(f661,plain,
( ! [X0] :
( ~ aInteger0(X0)
| smndt0(X0) = sdtasdt0(X0,smndt0(sz10)) )
| ~ spl27_55 ),
inference(avatar_component_clause,[],[f660]) ).
fof(f3056,plain,
( spl27_285
| ~ spl27_54
| ~ spl27_56 ),
inference(avatar_split_clause,[],[f727,f664,f656,f3054]) ).
fof(f3054,plain,
( spl27_285
<=> ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP2(X1)
| smndt0(sK16(X1,X0)) = sdtasdt0(smndt0(sz10),sK16(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_285])]) ).
fof(f656,plain,
( spl27_54
<=> ! [X0] :
( smndt0(X0) = sdtasdt0(smndt0(sz10),X0)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_54])]) ).
fof(f727,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP2(X1)
| smndt0(sK16(X1,X0)) = sdtasdt0(smndt0(sz10),sK16(X1,X0)) )
| ~ spl27_54
| ~ spl27_56 ),
inference(resolution,[],[f665,f657]) ).
fof(f657,plain,
( ! [X0] :
( ~ aInteger0(X0)
| smndt0(X0) = sdtasdt0(smndt0(sz10),X0) )
| ~ spl27_54 ),
inference(avatar_component_clause,[],[f656]) ).
fof(f3014,plain,
( spl27_284
| ~ spl27_7
| ~ spl27_162
| ~ spl27_272 ),
inference(avatar_split_clause,[],[f2879,f2817,f1371,f383,f3011]) ).
fof(f3011,plain,
( spl27_284
<=> sz00 = sdtpldt0(sdtpldt0(sz10,sz10),xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_284])]) ).
fof(f2879,plain,
( sz00 = sdtpldt0(sdtpldt0(sz10,sz10),xp)
| ~ spl27_7
| ~ spl27_162
| ~ spl27_272 ),
inference(forward_demodulation,[],[f2869,f1373]) ).
fof(f2869,plain,
( sdtpldt0(sz10,smndt0(sz10)) = sdtpldt0(sdtpldt0(sz10,sz10),xp)
| ~ spl27_7
| ~ spl27_272 ),
inference(resolution,[],[f2818,f385]) ).
fof(f2890,plain,
( spl27_283
| ~ spl27_7
| ~ spl27_127 ),
inference(avatar_split_clause,[],[f1089,f1070,f383,f2888]) ).
fof(f1089,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sz10) = sdtasdt0(X0,sdtasdt0(X1,sz10))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl27_7
| ~ spl27_127 ),
inference(resolution,[],[f1071,f385]) ).
fof(f2886,plain,
( spl27_282
| ~ spl27_8
| ~ spl27_127 ),
inference(avatar_split_clause,[],[f1088,f1070,f388,f2884]) ).
fof(f1088,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sz00) = sdtasdt0(X0,sdtasdt0(X1,sz00))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl27_8
| ~ spl27_127 ),
inference(resolution,[],[f1071,f390]) ).
fof(f2867,plain,
( spl27_281
| ~ spl27_7
| ~ spl27_126 ),
inference(avatar_split_clause,[],[f1080,f1066,f383,f2865]) ).
fof(f1080,plain,
( ! [X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,sz10)) = sdtpldt0(sdtpldt0(X0,X1),sz10)
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl27_7
| ~ spl27_126 ),
inference(resolution,[],[f1067,f385]) ).
fof(f2863,plain,
( spl27_280
| ~ spl27_8
| ~ spl27_126 ),
inference(avatar_split_clause,[],[f1079,f1066,f388,f2861]) ).
fof(f1079,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(X0,sdtpldt0(X1,sz00))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl27_8
| ~ spl27_126 ),
inference(resolution,[],[f1067,f390]) ).
fof(f2859,plain,
( spl27_279
| ~ spl27_43
| ~ spl27_103 ),
inference(avatar_split_clause,[],[f970,f950,f578,f2857]) ).
fof(f2857,plain,
( spl27_279
<=> ! [X0] :
( smndt0(sz10) = X0
| sz10 = X0
| ~ aInteger0(X0)
| sP0(X0,sK13(X0))
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_279])]) ).
fof(f970,plain,
( ! [X0] :
( smndt0(sz10) = X0
| sz10 = X0
| ~ aInteger0(X0)
| sP0(X0,sK13(X0))
| ~ sP1(X0) )
| ~ spl27_43
| ~ spl27_103 ),
inference(resolution,[],[f951,f579]) ).
fof(f2855,plain,
( spl27_278
| ~ spl27_42
| ~ spl27_56 ),
inference(avatar_split_clause,[],[f726,f664,f574,f2853]) ).
fof(f2853,plain,
( spl27_278
<=> ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP2(X1)
| sz00 = sdtpldt0(smndt0(sK16(X1,X0)),sK16(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_278])]) ).
fof(f574,plain,
( spl27_42
<=> ! [X0] :
( sz00 = sdtpldt0(smndt0(X0),X0)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_42])]) ).
fof(f726,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP2(X1)
| sz00 = sdtpldt0(smndt0(sK16(X1,X0)),sK16(X1,X0)) )
| ~ spl27_42
| ~ spl27_56 ),
inference(resolution,[],[f665,f575]) ).
fof(f575,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(X0),X0) )
| ~ spl27_42 ),
inference(avatar_component_clause,[],[f574]) ).
fof(f2851,plain,
( spl27_277
| ~ spl27_41
| ~ spl27_56 ),
inference(avatar_split_clause,[],[f725,f664,f570,f2849]) ).
fof(f2849,plain,
( spl27_277
<=> ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP2(X1)
| sz00 = sdtpldt0(sK16(X1,X0),smndt0(sK16(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_277])]) ).
fof(f570,plain,
( spl27_41
<=> ! [X0] :
( sz00 = sdtpldt0(X0,smndt0(X0))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_41])]) ).
fof(f725,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP2(X1)
| sz00 = sdtpldt0(sK16(X1,X0),smndt0(sK16(X1,X0))) )
| ~ spl27_41
| ~ spl27_56 ),
inference(resolution,[],[f665,f571]) ).
fof(f571,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(X0,smndt0(X0)) )
| ~ spl27_41 ),
inference(avatar_component_clause,[],[f570]) ).
fof(f2847,plain,
( spl27_276
| ~ spl27_52
| ~ spl27_55 ),
inference(avatar_split_clause,[],[f715,f660,f615,f2845]) ).
fof(f715,plain,
( ! [X0,X1] :
( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(X0,X1),smndt0(sz10))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl27_52
| ~ spl27_55 ),
inference(resolution,[],[f661,f616]) ).
fof(f2843,plain,
( spl27_275
| ~ spl27_53
| ~ spl27_55 ),
inference(avatar_split_clause,[],[f714,f660,f619,f2841]) ).
fof(f714,plain,
( ! [X0,X1] :
( smndt0(sdtpldt0(X0,X1)) = sdtasdt0(sdtpldt0(X0,X1),smndt0(sz10))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl27_53
| ~ spl27_55 ),
inference(resolution,[],[f661,f620]) ).
fof(f2839,plain,
( spl27_274
| ~ spl27_52
| ~ spl27_54 ),
inference(avatar_split_clause,[],[f708,f656,f615,f2837]) ).
fof(f708,plain,
( ! [X0,X1] :
( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(sz10),sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl27_52
| ~ spl27_54 ),
inference(resolution,[],[f657,f616]) ).
fof(f2835,plain,
( spl27_273
| ~ spl27_53
| ~ spl27_54 ),
inference(avatar_split_clause,[],[f707,f656,f619,f2833]) ).
fof(f707,plain,
( ! [X0,X1] :
( smndt0(sdtpldt0(X0,X1)) = sdtasdt0(smndt0(sz10),sdtpldt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl27_53
| ~ spl27_54 ),
inference(resolution,[],[f657,f620]) ).
fof(f2819,plain,
( spl27_272
| ~ spl27_1
| ~ spl27_7
| ~ spl27_270 ),
inference(avatar_split_clause,[],[f2814,f2797,f383,f353,f2817]) ).
fof(f2814,plain,
( ! [X0] :
( sdtpldt0(X0,smndt0(sz10)) = sdtpldt0(sdtpldt0(X0,sz10),xp)
| ~ aInteger0(X0) )
| ~ spl27_1
| ~ spl27_7
| ~ spl27_270 ),
inference(forward_demodulation,[],[f2805,f355]) ).
fof(f2805,plain,
( ! [X0] :
( sdtpldt0(X0,sdtpldt0(sz10,xp)) = sdtpldt0(sdtpldt0(X0,sz10),xp)
| ~ aInteger0(X0) )
| ~ spl27_7
| ~ spl27_270 ),
inference(resolution,[],[f2798,f385]) ).
fof(f2803,plain,
( spl27_271
| ~ spl27_4
| ~ spl27_127 ),
inference(avatar_split_clause,[],[f1094,f1070,f368,f2801]) ).
fof(f1094,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,xp)) = sdtasdt0(sdtasdt0(X0,X1),xp)
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl27_4
| ~ spl27_127 ),
inference(resolution,[],[f1071,f370]) ).
fof(f2799,plain,
( spl27_270
| ~ spl27_4
| ~ spl27_126 ),
inference(avatar_split_clause,[],[f1085,f1066,f368,f2797]) ).
fof(f1085,plain,
( ! [X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,xp)) = sdtpldt0(sdtpldt0(X0,X1),xp)
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl27_4
| ~ spl27_126 ),
inference(resolution,[],[f1067,f370]) ).
fof(f2617,plain,
( spl27_269
| ~ spl27_4
| ~ spl27_195 ),
inference(avatar_split_clause,[],[f1783,f1713,f368,f2614]) ).
fof(f2614,plain,
( spl27_269
<=> smndt0(xp) = sdtpldt0(sz00,smndt0(xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_269])]) ).
fof(f1783,plain,
( smndt0(xp) = sdtpldt0(sz00,smndt0(xp))
| ~ spl27_4
| ~ spl27_195 ),
inference(resolution,[],[f1714,f370]) ).
fof(f2547,plain,
( spl27_268
| ~ spl27_29
| ~ spl27_111 ),
inference(avatar_split_clause,[],[f1002,f991,f486,f2545]) ).
fof(f486,plain,
( spl27_29
<=> ! [X0] :
( sP6(X0,sbsmnsldt0(X0))
| ~ sP7(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_29])]) ).
fof(f991,plain,
( spl27_111
<=> ! [X5,X0,X6,X1] :
( aElementOf0(X5,X1)
| ~ aElementOf0(X5,X6)
| ~ aElementOf0(X6,X0)
| ~ aInteger0(X5)
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_111])]) ).
fof(f1002,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ aElementOf0(X1,X2)
| ~ aInteger0(X0)
| aElementOf0(X0,sbsmnsldt0(X2))
| ~ sP7(X2) )
| ~ spl27_29
| ~ spl27_111 ),
inference(resolution,[],[f992,f487]) ).
fof(f487,plain,
( ! [X0] :
( sP6(X0,sbsmnsldt0(X0))
| ~ sP7(X0) )
| ~ spl27_29 ),
inference(avatar_component_clause,[],[f486]) ).
fof(f992,plain,
( ! [X0,X1,X6,X5] :
( ~ sP6(X0,X1)
| ~ aElementOf0(X5,X6)
| ~ aElementOf0(X6,X0)
| ~ aInteger0(X5)
| aElementOf0(X5,X1) )
| ~ spl27_111 ),
inference(avatar_component_clause,[],[f991]) ).
fof(f2543,plain,
( spl27_267
| ~ spl27_65
| ~ spl27_106 ),
inference(avatar_split_clause,[],[f975,f962,f701,f2541]) ).
fof(f2541,plain,
( spl27_267
<=> ! [X2,X0,X1] :
( ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aInteger0(X0)
| aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(X1,X2))
| ~ sP9(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_267])]) ).
fof(f701,plain,
( spl27_65
<=> ! [X0,X1] :
( sP8(X1,X0,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| ~ sP9(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_65])]) ).
fof(f962,plain,
( spl27_106
<=> ! [X4,X0,X2,X1] :
( aElementOf0(X4,X2)
| ~ sdteqdtlpzmzozddtrp0(X4,X1,X0)
| ~ aInteger0(X4)
| ~ sP8(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_106])]) ).
fof(f975,plain,
( ! [X2,X0,X1] :
( ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aInteger0(X0)
| aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(X1,X2))
| ~ sP9(X1,X2) )
| ~ spl27_65
| ~ spl27_106 ),
inference(resolution,[],[f963,f702]) ).
fof(f702,plain,
( ! [X0,X1] :
( sP8(X1,X0,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| ~ sP9(X0,X1) )
| ~ spl27_65 ),
inference(avatar_component_clause,[],[f701]) ).
fof(f963,plain,
( ! [X2,X0,X1,X4] :
( ~ sP8(X0,X1,X2)
| ~ sdteqdtlpzmzozddtrp0(X4,X1,X0)
| ~ aInteger0(X4)
| aElementOf0(X4,X2) )
| ~ spl27_106 ),
inference(avatar_component_clause,[],[f962]) ).
fof(f2539,plain,
( spl27_266
| ~ spl27_70
| ~ spl27_99 ),
inference(avatar_split_clause,[],[f939,f908,f764,f2537]) ).
fof(f2537,plain,
( spl27_266
<=> ! [X2,X0,X1] :
( ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| ~ aElementOf0(X2,sdtslmnbsdt0(X1,X0))
| aElementOf0(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_266])]) ).
fof(f764,plain,
( spl27_70
<=> ! [X4,X0,X1,X2] :
( aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ sP10(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_70])]) ).
fof(f939,plain,
( ! [X2,X0,X1] :
( ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| ~ aElementOf0(X2,sdtslmnbsdt0(X1,X0))
| aElementOf0(X2,X1) )
| ~ spl27_70
| ~ spl27_99 ),
inference(resolution,[],[f909,f765]) ).
fof(f765,plain,
( ! [X2,X0,X1,X4] :
( ~ sP10(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| aElementOf0(X4,X1) )
| ~ spl27_70 ),
inference(avatar_component_clause,[],[f764]) ).
fof(f2535,plain,
( spl27_265
| ~ spl27_4
| ~ spl27_194 ),
inference(avatar_split_clause,[],[f1773,f1709,f368,f2532]) ).
fof(f1773,plain,
( smndt0(xp) = sdtpldt0(smndt0(xp),sz00)
| ~ spl27_4
| ~ spl27_194 ),
inference(resolution,[],[f1710,f370]) ).
fof(f2530,plain,
( spl27_264
| ~ spl27_71
| ~ spl27_99 ),
inference(avatar_split_clause,[],[f938,f908,f768,f2528]) ).
fof(f2528,plain,
( spl27_264
<=> ! [X2,X0,X1] :
( ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| ~ aElementOf0(X2,sdtslmnbsdt0(X1,X0))
| aElementOf0(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_264])]) ).
fof(f768,plain,
( spl27_71
<=> ! [X4,X0,X2,X1] :
( aElementOf0(X4,X0)
| ~ aElementOf0(X4,X2)
| ~ sP10(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_71])]) ).
fof(f938,plain,
( ! [X2,X0,X1] :
( ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| ~ aElementOf0(X2,sdtslmnbsdt0(X1,X0))
| aElementOf0(X2,X0) )
| ~ spl27_71
| ~ spl27_99 ),
inference(resolution,[],[f909,f769]) ).
fof(f769,plain,
( ! [X2,X0,X1,X4] :
( ~ sP10(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| aElementOf0(X4,X0) )
| ~ spl27_71 ),
inference(avatar_component_clause,[],[f768]) ).
fof(f2526,plain,
( spl27_263
| ~ spl27_37
| ~ spl27_56 ),
inference(avatar_split_clause,[],[f724,f664,f521,f2524]) ).
fof(f2524,plain,
( spl27_263
<=> ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP2(X1)
| sK16(X1,X0) = sdtpldt0(sz00,sK16(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_263])]) ).
fof(f521,plain,
( spl27_37
<=> ! [X0] :
( sdtpldt0(sz00,X0) = X0
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_37])]) ).
fof(f724,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP2(X1)
| sK16(X1,X0) = sdtpldt0(sz00,sK16(X1,X0)) )
| ~ spl27_37
| ~ spl27_56 ),
inference(resolution,[],[f665,f522]) ).
fof(f522,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz00,X0) = X0 )
| ~ spl27_37 ),
inference(avatar_component_clause,[],[f521]) ).
fof(f2522,plain,
( spl27_262
| ~ spl27_36
| ~ spl27_56 ),
inference(avatar_split_clause,[],[f723,f664,f517,f2520]) ).
fof(f2520,plain,
( spl27_262
<=> ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP2(X1)
| sK16(X1,X0) = sdtpldt0(sK16(X1,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_262])]) ).
fof(f517,plain,
( spl27_36
<=> ! [X0] :
( sdtpldt0(X0,sz00) = X0
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_36])]) ).
fof(f723,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP2(X1)
| sK16(X1,X0) = sdtpldt0(sK16(X1,X0),sz00) )
| ~ spl27_36
| ~ spl27_56 ),
inference(resolution,[],[f665,f518]) ).
fof(f518,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sz00) = X0 )
| ~ spl27_36 ),
inference(avatar_component_clause,[],[f517]) ).
fof(f2518,plain,
( spl27_261
| ~ spl27_35
| ~ spl27_56 ),
inference(avatar_split_clause,[],[f722,f664,f513,f2516]) ).
fof(f2516,plain,
( spl27_261
<=> ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP2(X1)
| sK16(X1,X0) = sdtasdt0(sz10,sK16(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_261])]) ).
fof(f513,plain,
( spl27_35
<=> ! [X0] :
( sdtasdt0(sz10,X0) = X0
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_35])]) ).
fof(f722,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP2(X1)
| sK16(X1,X0) = sdtasdt0(sz10,sK16(X1,X0)) )
| ~ spl27_35
| ~ spl27_56 ),
inference(resolution,[],[f665,f514]) ).
fof(f514,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sz10,X0) = X0 )
| ~ spl27_35 ),
inference(avatar_component_clause,[],[f513]) ).
fof(f2514,plain,
( spl27_260
| ~ spl27_34
| ~ spl27_56 ),
inference(avatar_split_clause,[],[f721,f664,f509,f2512]) ).
fof(f2512,plain,
( spl27_260
<=> ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP2(X1)
| sK16(X1,X0) = sdtasdt0(sK16(X1,X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_260])]) ).
fof(f509,plain,
( spl27_34
<=> ! [X0] :
( sdtasdt0(X0,sz10) = X0
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_34])]) ).
fof(f721,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP2(X1)
| sK16(X1,X0) = sdtasdt0(sK16(X1,X0),sz10) )
| ~ spl27_34
| ~ spl27_56 ),
inference(resolution,[],[f665,f510]) ).
fof(f510,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,sz10) = X0 )
| ~ spl27_34 ),
inference(avatar_component_clause,[],[f509]) ).
fof(f2510,plain,
( spl27_259
| ~ spl27_38
| ~ spl27_55 ),
inference(avatar_split_clause,[],[f717,f660,f525,f2508]) ).
fof(f2508,plain,
( spl27_259
<=> ! [X0,X1] :
( smndt0(sK14(X0,X1)) = sdtasdt0(sK14(X0,X1),smndt0(sz10))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_259])]) ).
fof(f717,plain,
( ! [X0,X1] :
( smndt0(sK14(X0,X1)) = sdtasdt0(sK14(X0,X1),smndt0(sz10))
| ~ sP0(X0,X1) )
| ~ spl27_38
| ~ spl27_55 ),
inference(resolution,[],[f661,f526]) ).
fof(f2506,plain,
( spl27_258
| ~ spl27_38
| ~ spl27_54 ),
inference(avatar_split_clause,[],[f710,f656,f525,f2504]) ).
fof(f2504,plain,
( spl27_258
<=> ! [X0,X1] :
( smndt0(sK14(X0,X1)) = sdtasdt0(smndt0(sz10),sK14(X0,X1))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_258])]) ).
fof(f710,plain,
( ! [X0,X1] :
( smndt0(sK14(X0,X1)) = sdtasdt0(smndt0(sz10),sK14(X0,X1))
| ~ sP0(X0,X1) )
| ~ spl27_38
| ~ spl27_54 ),
inference(resolution,[],[f657,f526]) ).
fof(f2502,plain,
( spl27_257
| ~ spl27_42
| ~ spl27_53 ),
inference(avatar_split_clause,[],[f652,f619,f574,f2500]) ).
fof(f652,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = sdtpldt0(smndt0(sdtpldt0(X1,X0)),sdtpldt0(X1,X0)) )
| ~ spl27_42
| ~ spl27_53 ),
inference(resolution,[],[f620,f575]) ).
fof(f2498,plain,
( spl27_256
| ~ spl27_41
| ~ spl27_53 ),
inference(avatar_split_clause,[],[f651,f619,f570,f2496]) ).
fof(f651,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = sdtpldt0(sdtpldt0(X1,X0),smndt0(sdtpldt0(X1,X0))) )
| ~ spl27_41
| ~ spl27_53 ),
inference(resolution,[],[f620,f571]) ).
fof(f2494,plain,
( spl27_255
| ~ spl27_42
| ~ spl27_52 ),
inference(avatar_split_clause,[],[f643,f615,f574,f2492]) ).
fof(f643,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = sdtpldt0(smndt0(sdtasdt0(X1,X0)),sdtasdt0(X1,X0)) )
| ~ spl27_42
| ~ spl27_52 ),
inference(resolution,[],[f616,f575]) ).
fof(f2490,plain,
( spl27_254
| ~ spl27_4
| ~ spl27_193 ),
inference(avatar_split_clause,[],[f1763,f1705,f368,f2487]) ).
fof(f2487,plain,
( spl27_254
<=> smndt0(xp) = sdtasdt0(sz10,smndt0(xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_254])]) ).
fof(f1763,plain,
( smndt0(xp) = sdtasdt0(sz10,smndt0(xp))
| ~ spl27_4
| ~ spl27_193 ),
inference(resolution,[],[f1706,f370]) ).
fof(f2485,plain,
( spl27_253
| ~ spl27_41
| ~ spl27_52 ),
inference(avatar_split_clause,[],[f642,f615,f570,f2483]) ).
fof(f642,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = sdtpldt0(sdtasdt0(X1,X0),smndt0(sdtasdt0(X1,X0))) )
| ~ spl27_41
| ~ spl27_52 ),
inference(resolution,[],[f616,f571]) ).
fof(f2331,plain,
( spl27_252
| ~ spl27_62
| ~ spl27_100 ),
inference(avatar_split_clause,[],[f943,f912,f688,f2329]) ).
fof(f2329,plain,
( spl27_252
<=> ! [X2,X0,X1] :
( ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| ~ aElementOf0(X2,sdtbsmnsldt0(X1,X0))
| aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_252])]) ).
fof(f688,plain,
( spl27_62
<=> ! [X4,X0,X2,X1] :
( aInteger0(X4)
| ~ aElementOf0(X4,X2)
| ~ sP11(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_62])]) ).
fof(f943,plain,
( ! [X2,X0,X1] :
( ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| ~ aElementOf0(X2,sdtbsmnsldt0(X1,X0))
| aInteger0(X2) )
| ~ spl27_62
| ~ spl27_100 ),
inference(resolution,[],[f913,f689]) ).
fof(f689,plain,
( ! [X2,X0,X1,X4] :
( ~ sP11(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| aInteger0(X4) )
| ~ spl27_62 ),
inference(avatar_component_clause,[],[f688]) ).
fof(f2327,plain,
( spl27_251
| ~ spl27_61
| ~ spl27_99 ),
inference(avatar_split_clause,[],[f940,f908,f684,f2325]) ).
fof(f2325,plain,
( spl27_251
<=> ! [X2,X0,X1] :
( ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| ~ aElementOf0(X2,sdtslmnbsdt0(X1,X0))
| aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_251])]) ).
fof(f684,plain,
( spl27_61
<=> ! [X4,X0,X2,X1] :
( aInteger0(X4)
| ~ aElementOf0(X4,X2)
| ~ sP10(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_61])]) ).
fof(f940,plain,
( ! [X2,X0,X1] :
( ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| ~ aElementOf0(X2,sdtslmnbsdt0(X1,X0))
| aInteger0(X2) )
| ~ spl27_61
| ~ spl27_99 ),
inference(resolution,[],[f909,f685]) ).
fof(f685,plain,
( ! [X2,X0,X1,X4] :
( ~ sP10(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| aInteger0(X4) )
| ~ spl27_61 ),
inference(avatar_component_clause,[],[f684]) ).
fof(f2323,plain,
( spl27_250
| ~ spl27_31
| ~ spl27_90 ),
inference(avatar_split_clause,[],[f926,f871,f497,f2321]) ).
fof(f2321,plain,
( spl27_250
<=> ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP2(X1)
| aSet0(szAzrzSzezqlpdtcmdtrp0(X0,sK16(X1,X0)))
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_250])]) ).
fof(f497,plain,
( spl27_31
<=> ! [X0,X1] :
( aSet0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_31])]) ).
fof(f926,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP2(X1)
| aSet0(szAzrzSzezqlpdtcmdtrp0(X0,sK16(X1,X0)))
| ~ aSet0(X1) )
| ~ spl27_31
| ~ spl27_90 ),
inference(resolution,[],[f872,f498]) ).
fof(f498,plain,
( ! [X0,X1] :
( ~ aSubsetOf0(X1,X0)
| aSet0(X1)
| ~ aSet0(X0) )
| ~ spl27_31 ),
inference(avatar_component_clause,[],[f497]) ).
fof(f2319,plain,
( spl27_249
| ~ spl27_16
| ~ spl27_85 ),
inference(avatar_split_clause,[],[f851,f825,f430,f2317]) ).
fof(f851,plain,
( ! [X0,X1] :
( sdtasdt0(X0,smndt0(X1)) = sdtasdt0(smndt0(X1),X0)
| ~ aInteger0(X0)
| ~ aInteger0(X1) )
| ~ spl27_16
| ~ spl27_85 ),
inference(resolution,[],[f826,f431]) ).
fof(f2315,plain,
( spl27_248
| ~ spl27_16
| ~ spl27_84 ),
inference(avatar_split_clause,[],[f842,f821,f430,f2313]) ).
fof(f842,plain,
( ! [X0,X1] :
( sdtpldt0(X0,smndt0(X1)) = sdtpldt0(smndt0(X1),X0)
| ~ aInteger0(X0)
| ~ aInteger0(X1) )
| ~ spl27_16
| ~ spl27_84 ),
inference(resolution,[],[f822,f431]) ).
fof(f2311,plain,
( spl27_247
| ~ spl27_37
| ~ spl27_53 ),
inference(avatar_split_clause,[],[f650,f619,f521,f2309]) ).
fof(f650,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtpldt0(X1,X0) = sdtpldt0(sz00,sdtpldt0(X1,X0)) )
| ~ spl27_37
| ~ spl27_53 ),
inference(resolution,[],[f620,f522]) ).
fof(f2307,plain,
( spl27_246
| ~ spl27_36
| ~ spl27_53 ),
inference(avatar_split_clause,[],[f649,f619,f517,f2305]) ).
fof(f649,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtpldt0(X1,X0) = sdtpldt0(sdtpldt0(X1,X0),sz00) )
| ~ spl27_36
| ~ spl27_53 ),
inference(resolution,[],[f620,f518]) ).
fof(f2303,plain,
( spl27_245
| ~ spl27_35
| ~ spl27_53 ),
inference(avatar_split_clause,[],[f648,f619,f513,f2301]) ).
fof(f648,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtpldt0(X1,X0) = sdtasdt0(sz10,sdtpldt0(X1,X0)) )
| ~ spl27_35
| ~ spl27_53 ),
inference(resolution,[],[f620,f514]) ).
fof(f2299,plain,
( spl27_244
| ~ spl27_34
| ~ spl27_53 ),
inference(avatar_split_clause,[],[f647,f619,f509,f2297]) ).
fof(f647,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtpldt0(X1,X0) = sdtasdt0(sdtpldt0(X1,X0),sz10) )
| ~ spl27_34
| ~ spl27_53 ),
inference(resolution,[],[f620,f510]) ).
fof(f2295,plain,
( spl27_243
| ~ spl27_37
| ~ spl27_52 ),
inference(avatar_split_clause,[],[f641,f615,f521,f2293]) ).
fof(f641,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,X0) = sdtpldt0(sz00,sdtasdt0(X1,X0)) )
| ~ spl27_37
| ~ spl27_52 ),
inference(resolution,[],[f616,f522]) ).
fof(f2291,plain,
( spl27_242
| ~ spl27_36
| ~ spl27_52 ),
inference(avatar_split_clause,[],[f640,f615,f517,f2289]) ).
fof(f640,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,X0) = sdtpldt0(sdtasdt0(X1,X0),sz00) )
| ~ spl27_36
| ~ spl27_52 ),
inference(resolution,[],[f616,f518]) ).
fof(f2287,plain,
( spl27_241
| ~ spl27_35
| ~ spl27_52 ),
inference(avatar_split_clause,[],[f639,f615,f513,f2285]) ).
fof(f639,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,X0) = sdtasdt0(sz10,sdtasdt0(X1,X0)) )
| ~ spl27_35
| ~ spl27_52 ),
inference(resolution,[],[f616,f514]) ).
fof(f2283,plain,
( spl27_240
| ~ spl27_34
| ~ spl27_52 ),
inference(avatar_split_clause,[],[f638,f615,f509,f2281]) ).
fof(f638,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,X0) = sdtasdt0(sdtasdt0(X1,X0),sz10) )
| ~ spl27_34
| ~ spl27_52 ),
inference(resolution,[],[f616,f510]) ).
fof(f2279,plain,
( spl27_239
| ~ spl27_38
| ~ spl27_42 ),
inference(avatar_split_clause,[],[f631,f574,f525,f2277]) ).
fof(f2277,plain,
( spl27_239
<=> ! [X0,X1] :
( sz00 = sdtpldt0(smndt0(sK14(X0,X1)),sK14(X0,X1))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_239])]) ).
fof(f631,plain,
( ! [X0,X1] :
( sz00 = sdtpldt0(smndt0(sK14(X0,X1)),sK14(X0,X1))
| ~ sP0(X0,X1) )
| ~ spl27_38
| ~ spl27_42 ),
inference(resolution,[],[f575,f526]) ).
fof(f2275,plain,
( spl27_237
| ~ spl27_238
| ~ spl27_2
| ~ spl27_232 ),
inference(avatar_split_clause,[],[f2187,f2165,f358,f2272,f2268]) ).
fof(f2268,plain,
( spl27_237
<=> sz00 = sdtasdt0(sK16(szAzrzSzezqlpdtcmdtrp0(sz10,xp),smndt0(sz10)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_237])]) ).
fof(f2272,plain,
( spl27_238
<=> sP2(szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_238])]) ).
fof(f2165,plain,
( spl27_232
<=> ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP2(X1)
| sz00 = sdtasdt0(sK16(X1,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_232])]) ).
fof(f2187,plain,
( ~ sP2(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| sz00 = sdtasdt0(sK16(szAzrzSzezqlpdtcmdtrp0(sz10,xp),smndt0(sz10)),sz00)
| ~ spl27_2
| ~ spl27_232 ),
inference(resolution,[],[f2166,f360]) ).
fof(f2166,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP2(X1)
| sz00 = sdtasdt0(sK16(X1,X0),sz00) )
| ~ spl27_232 ),
inference(avatar_component_clause,[],[f2165]) ).
fof(f2266,plain,
( spl27_236
| ~ spl27_38
| ~ spl27_41 ),
inference(avatar_split_clause,[],[f626,f570,f525,f2264]) ).
fof(f2264,plain,
( spl27_236
<=> ! [X0,X1] :
( sz00 = sdtpldt0(sK14(X0,X1),smndt0(sK14(X0,X1)))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_236])]) ).
fof(f626,plain,
( ! [X0,X1] :
( sz00 = sdtpldt0(sK14(X0,X1),smndt0(sK14(X0,X1)))
| ~ sP0(X0,X1) )
| ~ spl27_38
| ~ spl27_41 ),
inference(resolution,[],[f571,f526]) ).
fof(f2180,plain,
( spl27_235
| ~ spl27_65
| ~ spl27_83 ),
inference(avatar_split_clause,[],[f839,f817,f701,f2178]) ).
fof(f2178,plain,
( spl27_235
<=> ! [X2,X0,X1] :
( ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(X1,X2))
| sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ sP9(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_235])]) ).
fof(f817,plain,
( spl27_83
<=> ! [X2,X4,X0,X1] :
( sdteqdtlpzmzozddtrp0(X4,X1,X0)
| ~ aElementOf0(X4,X2)
| ~ sP8(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_83])]) ).
fof(f839,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(X1,X2))
| sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ sP9(X1,X2) )
| ~ spl27_65
| ~ spl27_83 ),
inference(resolution,[],[f818,f702]) ).
fof(f818,plain,
( ! [X2,X0,X1,X4] :
( ~ sP8(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| sdteqdtlpzmzozddtrp0(X4,X1,X0) )
| ~ spl27_83 ),
inference(avatar_component_clause,[],[f817]) ).
fof(f2176,plain,
( spl27_234
| ~ spl27_33
| ~ spl27_56 ),
inference(avatar_split_clause,[],[f720,f664,f505,f2174]) ).
fof(f2174,plain,
( spl27_234
<=> ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP2(X1)
| sz00 = sdtasdt0(sz00,sK16(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_234])]) ).
fof(f720,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP2(X1)
| sz00 = sdtasdt0(sz00,sK16(X1,X0)) )
| ~ spl27_33
| ~ spl27_56 ),
inference(resolution,[],[f665,f506]) ).
fof(f2172,plain,
( spl27_233
| ~ spl27_4
| ~ spl27_192 ),
inference(avatar_split_clause,[],[f1753,f1701,f368,f2169]) ).
fof(f2169,plain,
( spl27_233
<=> smndt0(xp) = sdtasdt0(smndt0(xp),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_233])]) ).
fof(f1753,plain,
( smndt0(xp) = sdtasdt0(smndt0(xp),sz10)
| ~ spl27_4
| ~ spl27_192 ),
inference(resolution,[],[f1702,f370]) ).
fof(f2167,plain,
( spl27_232
| ~ spl27_32
| ~ spl27_56 ),
inference(avatar_split_clause,[],[f719,f664,f501,f2165]) ).
fof(f719,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP2(X1)
| sz00 = sdtasdt0(sK16(X1,X0),sz00) )
| ~ spl27_32
| ~ spl27_56 ),
inference(resolution,[],[f665,f502]) ).
fof(f2163,plain,
( spl27_231
| ~ spl27_37
| ~ spl27_38 ),
inference(avatar_split_clause,[],[f563,f525,f521,f2161]) ).
fof(f563,plain,
( ! [X0,X1] :
( ~ sP0(X0,X1)
| sK14(X0,X1) = sdtpldt0(sz00,sK14(X0,X1)) )
| ~ spl27_37
| ~ spl27_38 ),
inference(resolution,[],[f526,f522]) ).
fof(f2159,plain,
( spl27_230
| ~ spl27_36
| ~ spl27_38 ),
inference(avatar_split_clause,[],[f562,f525,f517,f2157]) ).
fof(f2157,plain,
( spl27_230
<=> ! [X0,X1] :
( ~ sP0(X0,X1)
| sK14(X0,X1) = sdtpldt0(sK14(X0,X1),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_230])]) ).
fof(f562,plain,
( ! [X0,X1] :
( ~ sP0(X0,X1)
| sK14(X0,X1) = sdtpldt0(sK14(X0,X1),sz00) )
| ~ spl27_36
| ~ spl27_38 ),
inference(resolution,[],[f526,f518]) ).
fof(f2155,plain,
( spl27_229
| ~ spl27_35
| ~ spl27_38 ),
inference(avatar_split_clause,[],[f561,f525,f513,f2153]) ).
fof(f561,plain,
( ! [X0,X1] :
( ~ sP0(X0,X1)
| sK14(X0,X1) = sdtasdt0(sz10,sK14(X0,X1)) )
| ~ spl27_35
| ~ spl27_38 ),
inference(resolution,[],[f526,f514]) ).
fof(f2151,plain,
( spl27_228
| ~ spl27_34
| ~ spl27_38 ),
inference(avatar_split_clause,[],[f560,f525,f509,f2149]) ).
fof(f2149,plain,
( spl27_228
<=> ! [X0,X1] :
( ~ sP0(X0,X1)
| sK14(X0,X1) = sdtasdt0(sK14(X0,X1),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_228])]) ).
fof(f560,plain,
( ! [X0,X1] :
( ~ sP0(X0,X1)
| sK14(X0,X1) = sdtasdt0(sK14(X0,X1),sz10) )
| ~ spl27_34
| ~ spl27_38 ),
inference(resolution,[],[f526,f510]) ).
fof(f2036,plain,
( spl27_227
| ~ spl27_18
| ~ spl27_94 ),
inference(avatar_split_clause,[],[f929,f888,f438,f2034]) ).
fof(f2034,plain,
( spl27_227
<=> ! [X0,X1] :
( sz00 = X0
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sP3(szAzrzSzezqlpdtcmdtrp0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_227])]) ).
fof(f438,plain,
( spl27_18
<=> ! [X0] :
( sP3(X0)
| ~ aSubsetOf0(X0,cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_18])]) ).
fof(f929,plain,
( ! [X0,X1] :
( sz00 = X0
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sP3(szAzrzSzezqlpdtcmdtrp0(X1,X0)) )
| ~ spl27_18
| ~ spl27_94 ),
inference(resolution,[],[f889,f439]) ).
fof(f439,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,cS1395)
| sP3(X0) )
| ~ spl27_18 ),
inference(avatar_component_clause,[],[f438]) ).
fof(f2032,plain,
( spl27_226
| ~ spl27_21
| ~ spl27_94 ),
inference(avatar_split_clause,[],[f928,f888,f451,f2030]) ).
fof(f2030,plain,
( spl27_226
<=> ! [X0,X1] :
( sz00 = X0
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sP5(szAzrzSzezqlpdtcmdtrp0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_226])]) ).
fof(f451,plain,
( spl27_21
<=> ! [X0] :
( sP5(X0)
| ~ aSubsetOf0(X0,cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_21])]) ).
fof(f928,plain,
( ! [X0,X1] :
( sz00 = X0
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sP5(szAzrzSzezqlpdtcmdtrp0(X1,X0)) )
| ~ spl27_21
| ~ spl27_94 ),
inference(resolution,[],[f889,f452]) ).
fof(f452,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,cS1395)
| sP5(X0) )
| ~ spl27_21 ),
inference(avatar_component_clause,[],[f451]) ).
fof(f2022,plain,
( spl27_225
| ~ spl27_63
| ~ spl27_85 ),
inference(avatar_split_clause,[],[f852,f825,f692,f2020]) ).
fof(f852,plain,
( ! [X0] :
( sdtasdt0(smndt0(sz10),X0) = sdtasdt0(X0,smndt0(sz10))
| ~ aInteger0(X0) )
| ~ spl27_63
| ~ spl27_85 ),
inference(resolution,[],[f826,f693]) ).
fof(f2018,plain,
( spl27_224
| ~ spl27_63
| ~ spl27_84 ),
inference(avatar_split_clause,[],[f843,f821,f692,f2016]) ).
fof(f843,plain,
( ! [X0] :
( sdtpldt0(X0,smndt0(sz10)) = sdtpldt0(smndt0(sz10),X0)
| ~ aInteger0(X0) )
| ~ spl27_63
| ~ spl27_84 ),
inference(resolution,[],[f822,f693]) ).
fof(f2014,plain,
( spl27_223
| ~ spl27_29
| ~ spl27_79 ),
inference(avatar_split_clause,[],[f833,f800,f486,f2012]) ).
fof(f2012,plain,
( spl27_223
<=> ! [X0,X1] :
( ~ aElementOf0(X0,sbsmnsldt0(X1))
| aElementOf0(X0,sK21(X1,X0))
| ~ sP7(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_223])]) ).
fof(f800,plain,
( spl27_79
<=> ! [X5,X0,X1] :
( aElementOf0(X5,sK21(X0,X5))
| ~ aElementOf0(X5,X1)
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_79])]) ).
fof(f833,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,sbsmnsldt0(X1))
| aElementOf0(X0,sK21(X1,X0))
| ~ sP7(X1) )
| ~ spl27_29
| ~ spl27_79 ),
inference(resolution,[],[f801,f487]) ).
fof(f801,plain,
( ! [X0,X1,X5] :
( ~ sP6(X0,X1)
| ~ aElementOf0(X5,X1)
| aElementOf0(X5,sK21(X0,X5)) )
| ~ spl27_79 ),
inference(avatar_component_clause,[],[f800]) ).
fof(f2010,plain,
( spl27_222
| ~ spl27_29
| ~ spl27_78 ),
inference(avatar_split_clause,[],[f832,f796,f486,f2008]) ).
fof(f2008,plain,
( spl27_222
<=> ! [X0,X1] :
( ~ aElementOf0(X0,sbsmnsldt0(X1))
| aElementOf0(sK21(X1,X0),X1)
| ~ sP7(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_222])]) ).
fof(f796,plain,
( spl27_78
<=> ! [X5,X0,X1] :
( aElementOf0(sK21(X0,X5),X0)
| ~ aElementOf0(X5,X1)
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_78])]) ).
fof(f832,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,sbsmnsldt0(X1))
| aElementOf0(sK21(X1,X0),X1)
| ~ sP7(X1) )
| ~ spl27_29
| ~ spl27_78 ),
inference(resolution,[],[f797,f487]) ).
fof(f797,plain,
( ! [X0,X1,X5] :
( ~ sP6(X0,X1)
| ~ aElementOf0(X5,X1)
| aElementOf0(sK21(X0,X5),X0) )
| ~ spl27_78 ),
inference(avatar_component_clause,[],[f796]) ).
fof(f2006,plain,
( spl27_221
| ~ spl27_28
| ~ spl27_75 ),
inference(avatar_split_clause,[],[f829,f784,f482,f2004]) ).
fof(f2004,plain,
( spl27_221
<=> ! [X0,X1] :
( aElementOf0(X0,X1)
| ~ aInteger0(X0)
| aElementOf0(X0,stldt0(X1))
| ~ sP5(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_221])]) ).
fof(f482,plain,
( spl27_28
<=> ! [X0] :
( sP4(X0,stldt0(X0))
| ~ sP5(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_28])]) ).
fof(f784,plain,
( spl27_75
<=> ! [X0,X1,X3] :
( aElementOf0(X3,X1)
| aElementOf0(X3,X0)
| ~ aInteger0(X3)
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_75])]) ).
fof(f829,plain,
( ! [X0,X1] :
( aElementOf0(X0,X1)
| ~ aInteger0(X0)
| aElementOf0(X0,stldt0(X1))
| ~ sP5(X1) )
| ~ spl27_28
| ~ spl27_75 ),
inference(resolution,[],[f785,f483]) ).
fof(f483,plain,
( ! [X0] :
( sP4(X0,stldt0(X0))
| ~ sP5(X0) )
| ~ spl27_28 ),
inference(avatar_component_clause,[],[f482]) ).
fof(f785,plain,
( ! [X3,X0,X1] :
( ~ sP4(X0,X1)
| aElementOf0(X3,X0)
| ~ aInteger0(X3)
| aElementOf0(X3,X1) )
| ~ spl27_75 ),
inference(avatar_component_clause,[],[f784]) ).
fof(f2002,plain,
( spl27_220
| ~ spl27_16
| ~ spl27_55 ),
inference(avatar_split_clause,[],[f713,f660,f430,f2000]) ).
fof(f713,plain,
( ! [X0] :
( smndt0(smndt0(X0)) = sdtasdt0(smndt0(X0),smndt0(sz10))
| ~ aInteger0(X0) )
| ~ spl27_16
| ~ spl27_55 ),
inference(resolution,[],[f661,f431]) ).
fof(f1998,plain,
( spl27_219
| ~ spl27_16
| ~ spl27_54 ),
inference(avatar_split_clause,[],[f706,f656,f430,f1996]) ).
fof(f706,plain,
( ! [X0] :
( smndt0(smndt0(X0)) = sdtasdt0(smndt0(sz10),smndt0(X0))
| ~ aInteger0(X0) )
| ~ spl27_16
| ~ spl27_54 ),
inference(resolution,[],[f657,f431]) ).
fof(f1994,plain,
( spl27_218
| ~ spl27_33
| ~ spl27_53 ),
inference(avatar_split_clause,[],[f646,f619,f505,f1992]) ).
fof(f646,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = sdtasdt0(sz00,sdtpldt0(X1,X0)) )
| ~ spl27_33
| ~ spl27_53 ),
inference(resolution,[],[f620,f506]) ).
fof(f1990,plain,
( spl27_217
| ~ spl27_32
| ~ spl27_53 ),
inference(avatar_split_clause,[],[f645,f619,f501,f1988]) ).
fof(f645,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = sdtasdt0(sdtpldt0(X1,X0),sz00) )
| ~ spl27_32
| ~ spl27_53 ),
inference(resolution,[],[f620,f502]) ).
fof(f1986,plain,
( spl27_216
| ~ spl27_33
| ~ spl27_52 ),
inference(avatar_split_clause,[],[f637,f615,f505,f1984]) ).
fof(f637,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = sdtasdt0(sz00,sdtasdt0(X1,X0)) )
| ~ spl27_33
| ~ spl27_52 ),
inference(resolution,[],[f616,f506]) ).
fof(f1982,plain,
( spl27_215
| ~ spl27_4
| ~ spl27_181 ),
inference(avatar_split_clause,[],[f1562,f1517,f368,f1979]) ).
fof(f1562,plain,
( sz00 = sdtasdt0(sz00,smndt0(xp))
| ~ spl27_4
| ~ spl27_181 ),
inference(resolution,[],[f1518,f370]) ).
fof(f1977,plain,
( spl27_214
| ~ spl27_32
| ~ spl27_52 ),
inference(avatar_split_clause,[],[f636,f615,f501,f1975]) ).
fof(f636,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = sdtasdt0(sdtasdt0(X1,X0),sz00) )
| ~ spl27_32
| ~ spl27_52 ),
inference(resolution,[],[f616,f502]) ).
fof(f1913,plain,
( spl27_213
| ~ spl27_121 ),
inference(avatar_split_clause,[],[f1045,f1041,f1911]) ).
fof(f1911,plain,
( spl27_213
<=> ! [X0,X1] :
( aElementOf0(sK25(X0,X1,X0),X0)
| sP10(X0,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_213])]) ).
fof(f1041,plain,
( spl27_121
<=> ! [X2,X0,X1] :
( sP10(X0,X1,X2)
| aElementOf0(sK25(X0,X1,X2),X0)
| aElementOf0(sK25(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_121])]) ).
fof(f1045,plain,
( ! [X0,X1] :
( aElementOf0(sK25(X0,X1,X0),X0)
| sP10(X0,X1,X0) )
| ~ spl27_121 ),
inference(factoring,[],[f1042]) ).
fof(f1042,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK25(X0,X1,X2),X2)
| aElementOf0(sK25(X0,X1,X2),X0)
| sP10(X0,X1,X2) )
| ~ spl27_121 ),
inference(avatar_component_clause,[],[f1041]) ).
fof(f1909,plain,
( spl27_212
| ~ spl27_120 ),
inference(avatar_split_clause,[],[f1044,f1037,f1907]) ).
fof(f1907,plain,
( spl27_212
<=> ! [X0,X1] :
( aElementOf0(sK25(X0,X1,X1),X1)
| sP10(X0,X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_212])]) ).
fof(f1037,plain,
( spl27_120
<=> ! [X2,X0,X1] :
( sP10(X0,X1,X2)
| aElementOf0(sK25(X0,X1,X2),X1)
| aElementOf0(sK25(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_120])]) ).
fof(f1044,plain,
( ! [X0,X1] :
( aElementOf0(sK25(X0,X1,X1),X1)
| sP10(X0,X1,X1) )
| ~ spl27_120 ),
inference(factoring,[],[f1038]) ).
fof(f1038,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK25(X0,X1,X2),X2)
| aElementOf0(sK25(X0,X1,X2),X1)
| sP10(X0,X1,X2) )
| ~ spl27_120 ),
inference(avatar_component_clause,[],[f1037]) ).
fof(f1905,plain,
( spl27_211
| ~ spl27_4
| ~ spl27_180 ),
inference(avatar_split_clause,[],[f1552,f1513,f368,f1902]) ).
fof(f1902,plain,
( spl27_211
<=> sz00 = sdtasdt0(smndt0(xp),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_211])]) ).
fof(f1552,plain,
( sz00 = sdtasdt0(smndt0(xp),sz00)
| ~ spl27_4
| ~ spl27_180 ),
inference(resolution,[],[f1514,f370]) ).
fof(f1900,plain,
( ~ spl27_208
| spl27_209
| spl27_210
| ~ spl27_94
| ~ spl27_104 ),
inference(avatar_split_clause,[],[f974,f954,f888,f1897,f1894,f1890]) ).
fof(f1890,plain,
( spl27_208
<=> aInteger0(sK15(cS1395)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_208])]) ).
fof(f1894,plain,
( spl27_209
<=> ! [X0] :
( sz00 = X0
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_209])]) ).
fof(f1897,plain,
( spl27_210
<=> sP2(cS1395) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_210])]) ).
fof(f954,plain,
( spl27_104
<=> ! [X2,X0] :
( sP2(X0)
| ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sK15(X0),X2),X0)
| sz00 = X2
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_104])]) ).
fof(f974,plain,
( ! [X0] :
( sP2(cS1395)
| sz00 = X0
| ~ aInteger0(X0)
| ~ aInteger0(sK15(cS1395)) )
| ~ spl27_94
| ~ spl27_104 ),
inference(duplicate_literal_removal,[],[f973]) ).
fof(f973,plain,
( ! [X0] :
( sP2(cS1395)
| sz00 = X0
| ~ aInteger0(X0)
| sz00 = X0
| ~ aInteger0(X0)
| ~ aInteger0(sK15(cS1395)) )
| ~ spl27_94
| ~ spl27_104 ),
inference(resolution,[],[f955,f889]) ).
fof(f955,plain,
( ! [X2,X0] :
( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sK15(X0),X2),X0)
| sP2(X0)
| sz00 = X2
| ~ aInteger0(X2) )
| ~ spl27_104 ),
inference(avatar_component_clause,[],[f954]) ).
fof(f1888,plain,
( spl27_207
| ~ spl27_60
| ~ spl27_65 ),
inference(avatar_split_clause,[],[f744,f701,f680,f1886]) ).
fof(f680,plain,
( spl27_60
<=> ! [X4,X0,X2,X1] :
( aInteger0(X4)
| ~ aElementOf0(X4,X2)
| ~ sP8(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_60])]) ).
fof(f744,plain,
( ! [X2,X0,X1] :
( ~ sP9(X0,X1)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| aInteger0(X2) )
| ~ spl27_60
| ~ spl27_65 ),
inference(resolution,[],[f702,f681]) ).
fof(f681,plain,
( ! [X2,X0,X1,X4] :
( ~ sP8(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| aInteger0(X4) )
| ~ spl27_60 ),
inference(avatar_component_clause,[],[f680]) ).
fof(f1884,plain,
( spl27_206
| ~ spl27_16
| ~ spl27_42 ),
inference(avatar_split_clause,[],[f629,f574,f430,f1882]) ).
fof(f629,plain,
( ! [X0] :
( sz00 = sdtpldt0(smndt0(smndt0(X0)),smndt0(X0))
| ~ aInteger0(X0) )
| ~ spl27_16
| ~ spl27_42 ),
inference(resolution,[],[f575,f431]) ).
fof(f1880,plain,
( spl27_205
| ~ spl27_16
| ~ spl27_41 ),
inference(avatar_split_clause,[],[f624,f570,f430,f1878]) ).
fof(f624,plain,
( ! [X0] :
( sz00 = sdtpldt0(smndt0(X0),smndt0(smndt0(X0)))
| ~ aInteger0(X0) )
| ~ spl27_16
| ~ spl27_41 ),
inference(resolution,[],[f571,f431]) ).
fof(f1876,plain,
( spl27_204
| ~ spl27_33
| ~ spl27_38 ),
inference(avatar_split_clause,[],[f559,f525,f505,f1874]) ).
fof(f1874,plain,
( spl27_204
<=> ! [X0,X1] :
( ~ sP0(X0,X1)
| sz00 = sdtasdt0(sz00,sK14(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_204])]) ).
fof(f559,plain,
( ! [X0,X1] :
( ~ sP0(X0,X1)
| sz00 = sdtasdt0(sz00,sK14(X0,X1)) )
| ~ spl27_33
| ~ spl27_38 ),
inference(resolution,[],[f526,f506]) ).
fof(f1872,plain,
( spl27_203
| ~ spl27_32
| ~ spl27_38 ),
inference(avatar_split_clause,[],[f558,f525,f501,f1870]) ).
fof(f1870,plain,
( spl27_203
<=> ! [X0,X1] :
( ~ sP0(X0,X1)
| sz00 = sdtasdt0(sK14(X0,X1),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_203])]) ).
fof(f558,plain,
( ! [X0,X1] :
( ~ sP0(X0,X1)
| sz00 = sdtasdt0(sK14(X0,X1),sz00) )
| ~ spl27_32
| ~ spl27_38 ),
inference(resolution,[],[f526,f502]) ).
fof(f1746,plain,
( spl27_202
| ~ spl27_7
| ~ spl27_85 ),
inference(avatar_split_clause,[],[f850,f825,f383,f1744]) ).
fof(f850,plain,
( ! [X0] :
( sdtasdt0(X0,sz10) = sdtasdt0(sz10,X0)
| ~ aInteger0(X0) )
| ~ spl27_7
| ~ spl27_85 ),
inference(resolution,[],[f826,f385]) ).
fof(f1740,plain,
( spl27_201
| ~ spl27_8
| ~ spl27_85 ),
inference(avatar_split_clause,[],[f849,f825,f388,f1738]) ).
fof(f849,plain,
( ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sz00,X0)
| ~ aInteger0(X0) )
| ~ spl27_8
| ~ spl27_85 ),
inference(resolution,[],[f826,f390]) ).
fof(f1736,plain,
( spl27_200
| ~ spl27_7
| ~ spl27_84 ),
inference(avatar_split_clause,[],[f841,f821,f383,f1734]) ).
fof(f841,plain,
( ! [X0] :
( sdtpldt0(X0,sz10) = sdtpldt0(sz10,X0)
| ~ aInteger0(X0) )
| ~ spl27_7
| ~ spl27_84 ),
inference(resolution,[],[f822,f385]) ).
fof(f1732,plain,
( spl27_199
| ~ spl27_8
| ~ spl27_84 ),
inference(avatar_split_clause,[],[f840,f821,f388,f1730]) ).
fof(f840,plain,
( ! [X0] :
( sdtpldt0(X0,sz00) = sdtpldt0(sz00,X0)
| ~ aInteger0(X0) )
| ~ spl27_8
| ~ spl27_84 ),
inference(resolution,[],[f822,f390]) ).
fof(f1728,plain,
( spl27_198
| ~ spl27_28
| ~ spl27_58 ),
inference(avatar_split_clause,[],[f743,f672,f482,f1726]) ).
fof(f672,plain,
( spl27_58
<=> ! [X0,X1,X3] :
( ~ aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_58])]) ).
fof(f743,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,stldt0(X1))
| ~ aElementOf0(X0,X1)
| ~ sP5(X1) )
| ~ spl27_28
| ~ spl27_58 ),
inference(resolution,[],[f673,f483]) ).
fof(f673,plain,
( ! [X3,X0,X1] :
( ~ sP4(X0,X1)
| ~ aElementOf0(X3,X1)
| ~ aElementOf0(X3,X0) )
| ~ spl27_58 ),
inference(avatar_component_clause,[],[f672]) ).
fof(f1724,plain,
( spl27_197
| ~ spl27_54
| ~ spl27_63 ),
inference(avatar_split_clause,[],[f741,f692,f656,f1721]) ).
fof(f741,plain,
( smndt0(smndt0(sz10)) = sdtasdt0(smndt0(sz10),smndt0(sz10))
| ~ spl27_54
| ~ spl27_63 ),
inference(resolution,[],[f693,f657]) ).
fof(f1719,plain,
( spl27_196
| ~ spl27_12
| ~ spl27_56 ),
inference(avatar_split_clause,[],[f718,f664,f407,f1717]) ).
fof(f1717,plain,
( spl27_196
<=> ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP2(X1)
| sP1(sK16(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_196])]) ).
fof(f718,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP2(X1)
| sP1(sK16(X1,X0)) )
| ~ spl27_12
| ~ spl27_56 ),
inference(resolution,[],[f665,f408]) ).
fof(f1715,plain,
( spl27_195
| ~ spl27_16
| ~ spl27_37 ),
inference(avatar_split_clause,[],[f555,f521,f430,f1713]) ).
fof(f555,plain,
( ! [X0] :
( smndt0(X0) = sdtpldt0(sz00,smndt0(X0))
| ~ aInteger0(X0) )
| ~ spl27_16
| ~ spl27_37 ),
inference(resolution,[],[f522,f431]) ).
fof(f1711,plain,
( spl27_194
| ~ spl27_16
| ~ spl27_36 ),
inference(avatar_split_clause,[],[f551,f517,f430,f1709]) ).
fof(f551,plain,
( ! [X0] :
( smndt0(X0) = sdtpldt0(smndt0(X0),sz00)
| ~ aInteger0(X0) )
| ~ spl27_16
| ~ spl27_36 ),
inference(resolution,[],[f518,f431]) ).
fof(f1707,plain,
( spl27_193
| ~ spl27_16
| ~ spl27_35 ),
inference(avatar_split_clause,[],[f547,f513,f430,f1705]) ).
fof(f547,plain,
( ! [X0] :
( smndt0(X0) = sdtasdt0(sz10,smndt0(X0))
| ~ aInteger0(X0) )
| ~ spl27_16
| ~ spl27_35 ),
inference(resolution,[],[f514,f431]) ).
fof(f1703,plain,
( spl27_192
| ~ spl27_16
| ~ spl27_34 ),
inference(avatar_split_clause,[],[f543,f509,f430,f1701]) ).
fof(f543,plain,
( ! [X0] :
( smndt0(X0) = sdtasdt0(smndt0(X0),sz10)
| ~ aInteger0(X0) )
| ~ spl27_16
| ~ spl27_34 ),
inference(resolution,[],[f510,f431]) ).
fof(f1699,plain,
( spl27_191
| ~ spl27_1
| ~ spl27_7
| ~ spl27_189 ),
inference(avatar_split_clause,[],[f1682,f1665,f383,f353,f1696]) ).
fof(f1682,plain,
( smndt0(sz10) = sdtpldt0(xp,sz10)
| ~ spl27_1
| ~ spl27_7
| ~ spl27_189 ),
inference(forward_demodulation,[],[f1673,f355]) ).
fof(f1673,plain,
( sdtpldt0(sz10,xp) = sdtpldt0(xp,sz10)
| ~ spl27_7
| ~ spl27_189 ),
inference(resolution,[],[f1666,f385]) ).
fof(f1671,plain,
( spl27_190
| ~ spl27_4
| ~ spl27_85 ),
inference(avatar_split_clause,[],[f855,f825,f368,f1669]) ).
fof(f855,plain,
( ! [X0] :
( sdtasdt0(X0,xp) = sdtasdt0(xp,X0)
| ~ aInteger0(X0) )
| ~ spl27_4
| ~ spl27_85 ),
inference(resolution,[],[f826,f370]) ).
fof(f1667,plain,
( spl27_189
| ~ spl27_4
| ~ spl27_84 ),
inference(avatar_split_clause,[],[f846,f821,f368,f1665]) ).
fof(f846,plain,
( ! [X0] :
( sdtpldt0(X0,xp) = sdtpldt0(xp,X0)
| ~ aInteger0(X0) )
| ~ spl27_4
| ~ spl27_84 ),
inference(resolution,[],[f822,f370]) ).
fof(f1570,plain,
( ~ spl27_188
| spl27_158
| ~ spl27_179 ),
inference(avatar_split_clause,[],[f1511,f1494,f1345,f1567]) ).
fof(f1567,plain,
( spl27_188
<=> sP9(sz10,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_188])]) ).
fof(f1345,plain,
( spl27_158
<=> aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_158])]) ).
fof(f1494,plain,
( spl27_179
<=> ! [X0,X1] :
( ~ sP9(X0,X1)
| aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_179])]) ).
fof(f1511,plain,
( ~ sP9(sz10,xp)
| spl27_158
| ~ spl27_179 ),
inference(resolution,[],[f1495,f1346]) ).
fof(f1346,plain,
( ~ aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| spl27_158 ),
inference(avatar_component_clause,[],[f1345]) ).
fof(f1495,plain,
( ! [X0,X1] :
( aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
| ~ sP9(X0,X1) )
| ~ spl27_179 ),
inference(avatar_component_clause,[],[f1494]) ).
fof(f1545,plain,
( spl27_187
| ~ spl27_42
| ~ spl27_63 ),
inference(avatar_split_clause,[],[f740,f692,f574,f1542]) ).
fof(f1542,plain,
( spl27_187
<=> sz00 = sdtpldt0(smndt0(smndt0(sz10)),smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_187])]) ).
fof(f740,plain,
( sz00 = sdtpldt0(smndt0(smndt0(sz10)),smndt0(sz10))
| ~ spl27_42
| ~ spl27_63 ),
inference(resolution,[],[f693,f575]) ).
fof(f1540,plain,
( spl27_186
| ~ spl27_41
| ~ spl27_63 ),
inference(avatar_split_clause,[],[f739,f692,f570,f1537]) ).
fof(f1537,plain,
( spl27_186
<=> sz00 = sdtpldt0(smndt0(sz10),smndt0(smndt0(sz10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_186])]) ).
fof(f739,plain,
( sz00 = sdtpldt0(smndt0(sz10),smndt0(smndt0(sz10)))
| ~ spl27_41
| ~ spl27_63 ),
inference(resolution,[],[f693,f571]) ).
fof(f1535,plain,
( spl27_185
| ~ spl27_12
| ~ spl27_53 ),
inference(avatar_split_clause,[],[f644,f619,f407,f1533]) ).
fof(f644,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sP1(sdtpldt0(X1,X0)) )
| ~ spl27_12
| ~ spl27_53 ),
inference(resolution,[],[f620,f408]) ).
fof(f1531,plain,
( spl27_184
| ~ spl27_12
| ~ spl27_52 ),
inference(avatar_split_clause,[],[f635,f615,f407,f1529]) ).
fof(f1529,plain,
( spl27_184
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sP1(sdtasdt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_184])]) ).
fof(f635,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sP1(sdtasdt0(X1,X0)) )
| ~ spl27_12
| ~ spl27_52 ),
inference(resolution,[],[f616,f408]) ).
fof(f1527,plain,
( spl27_183
| ~ spl27_29
| ~ spl27_48 ),
inference(avatar_split_clause,[],[f634,f598,f486,f1525]) ).
fof(f598,plain,
( spl27_48
<=> ! [X5,X1,X0] :
( aInteger0(X5)
| ~ aElementOf0(X5,X1)
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_48])]) ).
fof(f634,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,sbsmnsldt0(X1))
| aInteger0(X0)
| ~ sP7(X1) )
| ~ spl27_29
| ~ spl27_48 ),
inference(resolution,[],[f599,f487]) ).
fof(f599,plain,
( ! [X0,X1,X5] :
( ~ sP6(X0,X1)
| ~ aElementOf0(X5,X1)
| aInteger0(X5) )
| ~ spl27_48 ),
inference(avatar_component_clause,[],[f598]) ).
fof(f1523,plain,
( spl27_182
| ~ spl27_28
| ~ spl27_47 ),
inference(avatar_split_clause,[],[f633,f594,f482,f1521]) ).
fof(f594,plain,
( spl27_47
<=> ! [X0,X1,X3] :
( aInteger0(X3)
| ~ aElementOf0(X3,X1)
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_47])]) ).
fof(f633,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,stldt0(X1))
| aInteger0(X0)
| ~ sP5(X1) )
| ~ spl27_28
| ~ spl27_47 ),
inference(resolution,[],[f595,f483]) ).
fof(f595,plain,
( ! [X3,X0,X1] :
( ~ sP4(X0,X1)
| ~ aElementOf0(X3,X1)
| aInteger0(X3) )
| ~ spl27_47 ),
inference(avatar_component_clause,[],[f594]) ).
fof(f1519,plain,
( spl27_181
| ~ spl27_16
| ~ spl27_33 ),
inference(avatar_split_clause,[],[f539,f505,f430,f1517]) ).
fof(f539,plain,
( ! [X0] :
( sz00 = sdtasdt0(sz00,smndt0(X0))
| ~ aInteger0(X0) )
| ~ spl27_16
| ~ spl27_33 ),
inference(resolution,[],[f506,f431]) ).
fof(f1515,plain,
( spl27_180
| ~ spl27_16
| ~ spl27_32 ),
inference(avatar_split_clause,[],[f535,f501,f430,f1513]) ).
fof(f535,plain,
( ! [X0] :
( sz00 = sdtasdt0(smndt0(X0),sz00)
| ~ aInteger0(X0) )
| ~ spl27_16
| ~ spl27_32 ),
inference(resolution,[],[f502,f431]) ).
fof(f1496,plain,
( spl27_179
| ~ spl27_27
| ~ spl27_65 ),
inference(avatar_split_clause,[],[f745,f701,f478,f1494]) ).
fof(f478,plain,
( spl27_27
<=> ! [X2,X0,X1] :
( aSet0(X2)
| ~ sP8(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_27])]) ).
fof(f745,plain,
( ! [X0,X1] :
( ~ sP9(X0,X1)
| aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
| ~ spl27_27
| ~ spl27_65 ),
inference(resolution,[],[f702,f479]) ).
fof(f479,plain,
( ! [X2,X0,X1] :
( ~ sP8(X0,X1,X2)
| aSet0(X2) )
| ~ spl27_27 ),
inference(avatar_component_clause,[],[f478]) ).
fof(f1492,plain,
( spl27_178
| ~ spl27_37
| ~ spl27_63 ),
inference(avatar_split_clause,[],[f738,f692,f521,f1489]) ).
fof(f738,plain,
( smndt0(sz10) = sdtpldt0(sz00,smndt0(sz10))
| ~ spl27_37
| ~ spl27_63 ),
inference(resolution,[],[f693,f522]) ).
fof(f1487,plain,
( spl27_177
| ~ spl27_36
| ~ spl27_63 ),
inference(avatar_split_clause,[],[f737,f692,f517,f1484]) ).
fof(f737,plain,
( smndt0(sz10) = sdtpldt0(smndt0(sz10),sz00)
| ~ spl27_36
| ~ spl27_63 ),
inference(resolution,[],[f693,f518]) ).
fof(f1482,plain,
( spl27_176
| ~ spl27_7
| ~ spl27_55 ),
inference(avatar_split_clause,[],[f712,f660,f383,f1479]) ).
fof(f712,plain,
( smndt0(sz10) = sdtasdt0(sz10,smndt0(sz10))
| ~ spl27_7
| ~ spl27_55 ),
inference(resolution,[],[f661,f385]) ).
fof(f1476,plain,
( spl27_175
| ~ spl27_8
| ~ spl27_55 ),
inference(avatar_split_clause,[],[f711,f660,f388,f1473]) ).
fof(f1473,plain,
( spl27_175
<=> smndt0(sz00) = sdtasdt0(sz00,smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_175])]) ).
fof(f711,plain,
( smndt0(sz00) = sdtasdt0(sz00,smndt0(sz10))
| ~ spl27_8
| ~ spl27_55 ),
inference(resolution,[],[f661,f390]) ).
fof(f1471,plain,
( spl27_174
| ~ spl27_7
| ~ spl27_54 ),
inference(avatar_split_clause,[],[f705,f656,f383,f1468]) ).
fof(f705,plain,
( smndt0(sz10) = sdtasdt0(smndt0(sz10),sz10)
| ~ spl27_7
| ~ spl27_54 ),
inference(resolution,[],[f657,f385]) ).
fof(f1460,plain,
( spl27_173
| ~ spl27_165
| ~ spl27_172 ),
inference(avatar_split_clause,[],[f1455,f1451,f1386,f1457]) ).
fof(f1451,plain,
( spl27_172
<=> smndt0(sz00) = sdtasdt0(smndt0(sz10),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_172])]) ).
fof(f1455,plain,
( sz00 = smndt0(sz00)
| ~ spl27_165
| ~ spl27_172 ),
inference(forward_demodulation,[],[f1453,f1388]) ).
fof(f1453,plain,
( smndt0(sz00) = sdtasdt0(smndt0(sz10),sz00)
| ~ spl27_172 ),
inference(avatar_component_clause,[],[f1451]) ).
fof(f1454,plain,
( spl27_172
| ~ spl27_8
| ~ spl27_54 ),
inference(avatar_split_clause,[],[f704,f656,f388,f1451]) ).
fof(f704,plain,
( smndt0(sz00) = sdtasdt0(smndt0(sz10),sz00)
| ~ spl27_8
| ~ spl27_54 ),
inference(resolution,[],[f657,f390]) ).
fof(f1449,plain,
( spl27_171
| ~ spl27_12
| ~ spl27_38 ),
inference(avatar_split_clause,[],[f557,f525,f407,f1447]) ).
fof(f1447,plain,
( spl27_171
<=> ! [X0,X1] :
( ~ sP0(X0,X1)
| sP1(sK14(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_171])]) ).
fof(f557,plain,
( ! [X0,X1] :
( ~ sP0(X0,X1)
| sP1(sK14(X0,X1)) )
| ~ spl27_12
| ~ spl27_38 ),
inference(resolution,[],[f526,f408]) ).
fof(f1435,plain,
( spl27_170
| ~ spl27_4
| ~ spl27_55 ),
inference(avatar_split_clause,[],[f716,f660,f368,f1432]) ).
fof(f716,plain,
( smndt0(xp) = sdtasdt0(xp,smndt0(sz10))
| ~ spl27_4
| ~ spl27_55 ),
inference(resolution,[],[f661,f370]) ).
fof(f1430,plain,
( spl27_169
| ~ spl27_4
| ~ spl27_54 ),
inference(avatar_split_clause,[],[f709,f656,f368,f1427]) ).
fof(f709,plain,
( smndt0(xp) = sdtasdt0(smndt0(sz10),xp)
| ~ spl27_4
| ~ spl27_54 ),
inference(resolution,[],[f657,f370]) ).
fof(f1425,plain,
( ~ spl27_167
| spl27_168
| ~ spl27_14
| ~ spl27_28 ),
inference(avatar_split_clause,[],[f495,f482,f419,f1422,f1418]) ).
fof(f1418,plain,
( spl27_167
<=> sP5(sbsmnsldt0(cS2043)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_167])]) ).
fof(f1422,plain,
( spl27_168
<=> sP4(sbsmnsldt0(cS2043),cS2076) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_168])]) ).
fof(f419,plain,
( spl27_14
<=> cS2076 = stldt0(sbsmnsldt0(cS2043)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_14])]) ).
fof(f495,plain,
( sP4(sbsmnsldt0(cS2043),cS2076)
| ~ sP5(sbsmnsldt0(cS2043))
| ~ spl27_14
| ~ spl27_28 ),
inference(superposition,[],[f483,f421]) ).
fof(f421,plain,
( cS2076 = stldt0(sbsmnsldt0(cS2043))
| ~ spl27_14 ),
inference(avatar_component_clause,[],[f419]) ).
fof(f1394,plain,
( spl27_166
| ~ spl27_33
| ~ spl27_63 ),
inference(avatar_split_clause,[],[f734,f692,f505,f1391]) ).
fof(f734,plain,
( sz00 = sdtasdt0(sz00,smndt0(sz10))
| ~ spl27_33
| ~ spl27_63 ),
inference(resolution,[],[f693,f506]) ).
fof(f1389,plain,
( spl27_165
| ~ spl27_32
| ~ spl27_63 ),
inference(avatar_split_clause,[],[f733,f692,f501,f1386]) ).
fof(f733,plain,
( sz00 = sdtasdt0(smndt0(sz10),sz00)
| ~ spl27_32
| ~ spl27_63 ),
inference(resolution,[],[f693,f502]) ).
fof(f1384,plain,
( spl27_164
| ~ spl27_7
| ~ spl27_42 ),
inference(avatar_split_clause,[],[f628,f574,f383,f1381]) ).
fof(f628,plain,
( sz00 = sdtpldt0(smndt0(sz10),sz10)
| ~ spl27_7
| ~ spl27_42 ),
inference(resolution,[],[f575,f385]) ).
fof(f1379,plain,
( spl27_163
| ~ spl27_8
| ~ spl27_42 ),
inference(avatar_split_clause,[],[f627,f574,f388,f1376]) ).
fof(f1376,plain,
( spl27_163
<=> sz00 = sdtpldt0(smndt0(sz00),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_163])]) ).
fof(f627,plain,
( sz00 = sdtpldt0(smndt0(sz00),sz00)
| ~ spl27_8
| ~ spl27_42 ),
inference(resolution,[],[f575,f390]) ).
fof(f1374,plain,
( spl27_162
| ~ spl27_7
| ~ spl27_41 ),
inference(avatar_split_clause,[],[f623,f570,f383,f1371]) ).
fof(f623,plain,
( sz00 = sdtpldt0(sz10,smndt0(sz10))
| ~ spl27_7
| ~ spl27_41 ),
inference(resolution,[],[f571,f385]) ).
fof(f1369,plain,
( spl27_161
| ~ spl27_8
| ~ spl27_41 ),
inference(avatar_split_clause,[],[f622,f570,f388,f1366]) ).
fof(f622,plain,
( sz00 = sdtpldt0(sz00,smndt0(sz00))
| ~ spl27_8
| ~ spl27_41 ),
inference(resolution,[],[f571,f390]) ).
fof(f1358,plain,
( spl27_160
| ~ spl27_4
| ~ spl27_42 ),
inference(avatar_split_clause,[],[f630,f574,f368,f1355]) ).
fof(f630,plain,
( sz00 = sdtpldt0(smndt0(xp),xp)
| ~ spl27_4
| ~ spl27_42 ),
inference(resolution,[],[f575,f370]) ).
fof(f1353,plain,
( spl27_159
| ~ spl27_4
| ~ spl27_41 ),
inference(avatar_split_clause,[],[f625,f570,f368,f1350]) ).
fof(f625,plain,
( sz00 = sdtpldt0(xp,smndt0(xp))
| ~ spl27_4
| ~ spl27_41 ),
inference(resolution,[],[f571,f370]) ).
fof(f1348,plain,
( ~ spl27_157
| spl27_158
| ~ spl27_15
| ~ spl27_31 ),
inference(avatar_split_clause,[],[f532,f497,f424,f1345,f1341]) ).
fof(f1341,plain,
( spl27_157
<=> aSet0(cS2076) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_157])]) ).
fof(f424,plain,
( spl27_15
<=> aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),cS2076) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_15])]) ).
fof(f532,plain,
( aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ~ aSet0(cS2076)
| ~ spl27_15
| ~ spl27_31 ),
inference(resolution,[],[f498,f426]) ).
fof(f426,plain,
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),cS2076)
| ~ spl27_15 ),
inference(avatar_component_clause,[],[f424]) ).
fof(f1339,plain,
( spl27_155
| ~ spl27_156
| ~ spl27_21
| ~ spl27_154 ),
inference(avatar_split_clause,[],[f1325,f1290,f451,f1336,f1332]) ).
fof(f1332,plain,
( spl27_155
<=> sP5(cS1395) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_155])]) ).
fof(f1336,plain,
( spl27_156
<=> aSet0(cS1395) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_156])]) ).
fof(f1290,plain,
( spl27_154
<=> ! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_154])]) ).
fof(f1325,plain,
( ~ aSet0(cS1395)
| sP5(cS1395)
| ~ spl27_21
| ~ spl27_154 ),
inference(resolution,[],[f1291,f452]) ).
fof(f1291,plain,
( ! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) )
| ~ spl27_154 ),
inference(avatar_component_clause,[],[f1290]) ).
fof(f1292,plain,
( spl27_154
| ~ spl27_87
| ~ spl27_88 ),
inference(avatar_split_clause,[],[f916,f863,f859,f1290]) ).
fof(f859,plain,
( spl27_87
<=> ! [X0,X1] :
( aSubsetOf0(X1,X0)
| aElementOf0(sK12(X0,X1),X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_87])]) ).
fof(f863,plain,
( spl27_88
<=> ! [X0,X1] :
( aSubsetOf0(X1,X0)
| ~ aElementOf0(sK12(X0,X1),X0)
| ~ aSet0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_88])]) ).
fof(f916,plain,
( ! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) )
| ~ spl27_87
| ~ spl27_88 ),
inference(duplicate_literal_removal,[],[f915]) ).
fof(f915,plain,
( ! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0)
| ~ aSet0(X0)
| aSubsetOf0(X0,X0)
| ~ aSet0(X0)
| ~ aSet0(X0) )
| ~ spl27_87
| ~ spl27_88 ),
inference(resolution,[],[f864,f860]) ).
fof(f860,plain,
( ! [X0,X1] :
( aElementOf0(sK12(X0,X1),X1)
| aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ~ aSet0(X0) )
| ~ spl27_87 ),
inference(avatar_component_clause,[],[f859]) ).
fof(f864,plain,
( ! [X0,X1] :
( ~ aElementOf0(sK12(X0,X1),X0)
| aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ~ aSet0(X0) )
| ~ spl27_88 ),
inference(avatar_component_clause,[],[f863]) ).
fof(f1288,plain,
( spl27_153
| ~ spl27_7
| ~ spl27_37 ),
inference(avatar_split_clause,[],[f554,f521,f383,f1285]) ).
fof(f554,plain,
( sz10 = sdtpldt0(sz00,sz10)
| ~ spl27_7
| ~ spl27_37 ),
inference(resolution,[],[f522,f385]) ).
fof(f1283,plain,
( spl27_152
| ~ spl27_7
| ~ spl27_36 ),
inference(avatar_split_clause,[],[f550,f517,f383,f1280]) ).
fof(f550,plain,
( sz10 = sdtpldt0(sz10,sz00)
| ~ spl27_7
| ~ spl27_36 ),
inference(resolution,[],[f518,f385]) ).
fof(f1278,plain,
( spl27_151
| ~ spl27_8
| ~ spl27_36 ),
inference(avatar_split_clause,[],[f549,f517,f388,f1275]) ).
fof(f549,plain,
( sz00 = sdtpldt0(sz00,sz00)
| ~ spl27_8
| ~ spl27_36 ),
inference(resolution,[],[f518,f390]) ).
fof(f1273,plain,
( spl27_150
| ~ spl27_7
| ~ spl27_34 ),
inference(avatar_split_clause,[],[f542,f509,f383,f1270]) ).
fof(f542,plain,
( sz10 = sdtasdt0(sz10,sz10)
| ~ spl27_7
| ~ spl27_34 ),
inference(resolution,[],[f510,f385]) ).
fof(f1268,plain,
( spl27_149
| ~ spl27_7
| ~ spl27_33 ),
inference(avatar_split_clause,[],[f538,f505,f383,f1265]) ).
fof(f538,plain,
( sz00 = sdtasdt0(sz00,sz10)
| ~ spl27_7
| ~ spl27_33 ),
inference(resolution,[],[f506,f385]) ).
fof(f1263,plain,
( spl27_148
| ~ spl27_7
| ~ spl27_32 ),
inference(avatar_split_clause,[],[f534,f501,f383,f1260]) ).
fof(f534,plain,
( sz00 = sdtasdt0(sz10,sz00)
| ~ spl27_7
| ~ spl27_32 ),
inference(resolution,[],[f502,f385]) ).
fof(f1258,plain,
( spl27_147
| ~ spl27_8
| ~ spl27_32 ),
inference(avatar_split_clause,[],[f533,f501,f388,f1255]) ).
fof(f533,plain,
( sz00 = sdtasdt0(sz00,sz00)
| ~ spl27_8
| ~ spl27_32 ),
inference(resolution,[],[f502,f390]) ).
fof(f1253,plain,
( spl27_146
| ~ spl27_19
| ~ spl27_28 ),
inference(avatar_split_clause,[],[f494,f482,f442,f1251]) ).
fof(f1251,plain,
( spl27_146
<=> ! [X0] :
( ~ sP5(X0)
| aSet0(stldt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_146])]) ).
fof(f442,plain,
( spl27_19
<=> ! [X0,X1] :
( aSet0(X1)
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_19])]) ).
fof(f494,plain,
( ! [X0] :
( ~ sP5(X0)
| aSet0(stldt0(X0)) )
| ~ spl27_19
| ~ spl27_28 ),
inference(resolution,[],[f483,f443]) ).
fof(f443,plain,
( ! [X0,X1] :
( ~ sP4(X0,X1)
| aSet0(X1) )
| ~ spl27_19 ),
inference(avatar_component_clause,[],[f442]) ).
fof(f1249,plain,
( spl27_145
| ~ spl27_12
| ~ spl27_16 ),
inference(avatar_split_clause,[],[f458,f430,f407,f1247]) ).
fof(f1247,plain,
( spl27_145
<=> ! [X0] :
( ~ aInteger0(X0)
| sP1(smndt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_145])]) ).
fof(f458,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sP1(smndt0(X0)) )
| ~ spl27_12
| ~ spl27_16 ),
inference(resolution,[],[f431,f408]) ).
fof(f1242,plain,
( ~ spl27_7
| ~ spl27_4
| spl27_144
| ~ spl27_3
| ~ spl27_131 ),
inference(avatar_split_clause,[],[f1131,f1113,f363,f1240,f368,f383]) ).
fof(f1240,plain,
( spl27_144
<=> ! [X0] :
( ~ aDivisorOf0(X0,smndt0(sz10))
| ~ aInteger0(X0)
| sz00 = X0
| sdteqdtlpzmzozddtrp0(sz10,xp,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_144])]) ).
fof(f1131,plain,
( ! [X0] :
( ~ aDivisorOf0(X0,smndt0(sz10))
| sdteqdtlpzmzozddtrp0(sz10,xp,X0)
| sz00 = X0
| ~ aInteger0(X0)
| ~ aInteger0(xp)
| ~ aInteger0(sz10) )
| ~ spl27_3
| ~ spl27_131 ),
inference(superposition,[],[f1114,f365]) ).
fof(f1230,plain,
spl27_143,
inference(avatar_split_clause,[],[f306,f1228]) ).
fof(f1228,plain,
( spl27_143
<=> ! [X2,X0,X1] :
( sP10(X0,X1,X2)
| ~ aElementOf0(sK25(X0,X1,X2),X0)
| ~ aElementOf0(sK25(X0,X1,X2),X1)
| ~ aInteger0(sK25(X0,X1,X2))
| ~ aElementOf0(sK25(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_143])]) ).
fof(f306,plain,
! [X2,X0,X1] :
( sP10(X0,X1,X2)
| ~ aElementOf0(sK25(X0,X1,X2),X0)
| ~ aElementOf0(sK25(X0,X1,X2),X1)
| ~ aInteger0(sK25(X0,X1,X2))
| ~ aElementOf0(sK25(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f188]) ).
fof(f188,plain,
! [X0,X1,X2] :
( ( sP10(X0,X1,X2)
| ( ( ~ aElementOf0(sK25(X0,X1,X2),X0)
| ~ aElementOf0(sK25(X0,X1,X2),X1)
| ~ aInteger0(sK25(X0,X1,X2))
| ~ aElementOf0(sK25(X0,X1,X2),X2) )
& ( ( aElementOf0(sK25(X0,X1,X2),X0)
& aElementOf0(sK25(X0,X1,X2),X1)
& aInteger0(sK25(X0,X1,X2)) )
| aElementOf0(sK25(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( aElementOf0(X4,X2)
| ~ aElementOf0(X4,X0)
| ~ aElementOf0(X4,X1)
| ~ aInteger0(X4) )
& ( ( aElementOf0(X4,X0)
& aElementOf0(X4,X1)
& aInteger0(X4) )
| ~ aElementOf0(X4,X2) ) )
| ~ sP10(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25])],[f186,f187]) ).
fof(f187,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ~ aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ aInteger0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( aElementOf0(X3,X0)
& aElementOf0(X3,X1)
& aInteger0(X3) )
| aElementOf0(X3,X2) ) )
=> ( ( ~ aElementOf0(sK25(X0,X1,X2),X0)
| ~ aElementOf0(sK25(X0,X1,X2),X1)
| ~ aInteger0(sK25(X0,X1,X2))
| ~ aElementOf0(sK25(X0,X1,X2),X2) )
& ( ( aElementOf0(sK25(X0,X1,X2),X0)
& aElementOf0(sK25(X0,X1,X2),X1)
& aInteger0(sK25(X0,X1,X2)) )
| aElementOf0(sK25(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f186,plain,
! [X0,X1,X2] :
( ( sP10(X0,X1,X2)
| ? [X3] :
( ( ~ aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ aInteger0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( aElementOf0(X3,X0)
& aElementOf0(X3,X1)
& aInteger0(X3) )
| aElementOf0(X3,X2) ) ) )
& ( ! [X4] :
( ( aElementOf0(X4,X2)
| ~ aElementOf0(X4,X0)
| ~ aElementOf0(X4,X1)
| ~ aInteger0(X4) )
& ( ( aElementOf0(X4,X0)
& aElementOf0(X4,X1)
& aInteger0(X4) )
| ~ aElementOf0(X4,X2) ) )
| ~ sP10(X0,X1,X2) ) ),
inference(rectify,[],[f185]) ).
fof(f185,plain,
! [X1,X0,X2] :
( ( sP10(X1,X0,X2)
| ? [X3] :
( ( ~ aElementOf0(X3,X1)
| ~ aElementOf0(X3,X0)
| ~ aInteger0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( aElementOf0(X3,X1)
& aElementOf0(X3,X0)
& aInteger0(X3) )
| aElementOf0(X3,X2) ) ) )
& ( ! [X3] :
( ( aElementOf0(X3,X2)
| ~ aElementOf0(X3,X1)
| ~ aElementOf0(X3,X0)
| ~ aInteger0(X3) )
& ( ( aElementOf0(X3,X1)
& aElementOf0(X3,X0)
& aInteger0(X3) )
| ~ aElementOf0(X3,X2) ) )
| ~ sP10(X1,X0,X2) ) ),
inference(flattening,[],[f184]) ).
fof(f184,plain,
! [X1,X0,X2] :
( ( sP10(X1,X0,X2)
| ? [X3] :
( ( ~ aElementOf0(X3,X1)
| ~ aElementOf0(X3,X0)
| ~ aInteger0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( aElementOf0(X3,X1)
& aElementOf0(X3,X0)
& aInteger0(X3) )
| aElementOf0(X3,X2) ) ) )
& ( ! [X3] :
( ( aElementOf0(X3,X2)
| ~ aElementOf0(X3,X1)
| ~ aElementOf0(X3,X0)
| ~ aInteger0(X3) )
& ( ( aElementOf0(X3,X1)
& aElementOf0(X3,X0)
& aInteger0(X3) )
| ~ aElementOf0(X3,X2) ) )
| ~ sP10(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X1,X0,X2] :
( sP10(X1,X0,X2)
<=> ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElementOf0(X3,X1)
& aElementOf0(X3,X0)
& aInteger0(X3) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f1210,plain,
spl27_142,
inference(avatar_split_clause,[],[f329,f1208]) ).
fof(f329,plain,
! [X2,X3,X0,X1] :
( sdteqdtlpzmzozddtrp0(X0,X1,X3)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,sdtasdt0(X2,X3))
| sz00 = X3
| ~ aInteger0(X3)
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0,X1,X2,X3] :
( ( sdteqdtlpzmzozddtrp0(X0,X1,X3)
& sdteqdtlpzmzozddtrp0(X0,X1,X2) )
| ~ sdteqdtlpzmzozddtrp0(X0,X1,sdtasdt0(X2,X3))
| sz00 = X3
| ~ aInteger0(X3)
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f110]) ).
fof(f110,plain,
! [X0,X1,X2,X3] :
( ( sdteqdtlpzmzozddtrp0(X0,X1,X3)
& sdteqdtlpzmzozddtrp0(X0,X1,X2) )
| ~ sdteqdtlpzmzozddtrp0(X0,X1,sdtasdt0(X2,X3))
| sz00 = X3
| ~ aInteger0(X3)
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( ( sz00 != X3
& aInteger0(X3)
& sz00 != X2
& aInteger0(X2)
& aInteger0(X1)
& aInteger0(X0) )
=> ( sdteqdtlpzmzozddtrp0(X0,X1,sdtasdt0(X2,X3))
=> ( sdteqdtlpzmzozddtrp0(X0,X1,X3)
& sdteqdtlpzmzozddtrp0(X0,X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEquModMul) ).
fof(f1206,plain,
spl27_141,
inference(avatar_split_clause,[],[f328,f1204]) ).
fof(f328,plain,
! [X2,X3,X0,X1] :
( sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,sdtasdt0(X2,X3))
| sz00 = X3
| ~ aInteger0(X3)
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f1202,plain,
spl27_140,
inference(avatar_split_clause,[],[f290,f1200]) ).
fof(f1200,plain,
( spl27_140
<=> ! [X2,X0,X1] :
( sP8(X0,X1,X2)
| ~ sdteqdtlpzmzozddtrp0(sK24(X0,X1,X2),X1,X0)
| ~ aInteger0(sK24(X0,X1,X2))
| ~ aElementOf0(sK24(X0,X1,X2),X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_140])]) ).
fof(f290,plain,
! [X2,X0,X1] :
( sP8(X0,X1,X2)
| ~ sdteqdtlpzmzozddtrp0(sK24(X0,X1,X2),X1,X0)
| ~ aInteger0(sK24(X0,X1,X2))
| ~ aElementOf0(sK24(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f183]) ).
fof(f183,plain,
! [X0,X1,X2] :
( ( sP8(X0,X1,X2)
| ( ( ~ sdteqdtlpzmzozddtrp0(sK24(X0,X1,X2),X1,X0)
| ~ aInteger0(sK24(X0,X1,X2))
| ~ aElementOf0(sK24(X0,X1,X2),X2) )
& ( ( sdteqdtlpzmzozddtrp0(sK24(X0,X1,X2),X1,X0)
& aInteger0(sK24(X0,X1,X2)) )
| aElementOf0(sK24(X0,X1,X2),X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| ~ sdteqdtlpzmzozddtrp0(X4,X1,X0)
| ~ aInteger0(X4) )
& ( ( sdteqdtlpzmzozddtrp0(X4,X1,X0)
& aInteger0(X4) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| ~ sP8(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK24])],[f181,f182]) ).
fof(f182,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ~ sdteqdtlpzmzozddtrp0(X3,X1,X0)
| ~ aInteger0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( sdteqdtlpzmzozddtrp0(X3,X1,X0)
& aInteger0(X3) )
| aElementOf0(X3,X2) ) )
=> ( ( ~ sdteqdtlpzmzozddtrp0(sK24(X0,X1,X2),X1,X0)
| ~ aInteger0(sK24(X0,X1,X2))
| ~ aElementOf0(sK24(X0,X1,X2),X2) )
& ( ( sdteqdtlpzmzozddtrp0(sK24(X0,X1,X2),X1,X0)
& aInteger0(sK24(X0,X1,X2)) )
| aElementOf0(sK24(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f181,plain,
! [X0,X1,X2] :
( ( sP8(X0,X1,X2)
| ? [X3] :
( ( ~ sdteqdtlpzmzozddtrp0(X3,X1,X0)
| ~ aInteger0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( sdteqdtlpzmzozddtrp0(X3,X1,X0)
& aInteger0(X3) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| ~ sdteqdtlpzmzozddtrp0(X4,X1,X0)
| ~ aInteger0(X4) )
& ( ( sdteqdtlpzmzozddtrp0(X4,X1,X0)
& aInteger0(X4) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| ~ sP8(X0,X1,X2) ) ),
inference(rectify,[],[f180]) ).
fof(f180,plain,
! [X1,X0,X2] :
( ( sP8(X1,X0,X2)
| ? [X3] :
( ( ~ sdteqdtlpzmzozddtrp0(X3,X0,X1)
| ~ aInteger0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( sdteqdtlpzmzozddtrp0(X3,X0,X1)
& aInteger0(X3) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| ~ sdteqdtlpzmzozddtrp0(X3,X0,X1)
| ~ aInteger0(X3) )
& ( ( sdteqdtlpzmzozddtrp0(X3,X0,X1)
& aInteger0(X3) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| ~ sP8(X1,X0,X2) ) ),
inference(flattening,[],[f179]) ).
fof(f179,plain,
! [X1,X0,X2] :
( ( sP8(X1,X0,X2)
| ? [X3] :
( ( ~ sdteqdtlpzmzozddtrp0(X3,X0,X1)
| ~ aInteger0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( sdteqdtlpzmzozddtrp0(X3,X0,X1)
& aInteger0(X3) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| ~ sdteqdtlpzmzozddtrp0(X3,X0,X1)
| ~ aInteger0(X3) )
& ( ( sdteqdtlpzmzozddtrp0(X3,X0,X1)
& aInteger0(X3) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| ~ sP8(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X1,X0,X2] :
( sP8(X1,X0,X2)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sdteqdtlpzmzozddtrp0(X3,X0,X1)
& aInteger0(X3) ) )
& aSet0(X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f1195,plain,
spl27_139,
inference(avatar_split_clause,[],[f330,f1193]) ).
fof(f330,plain,
! [X2,X3,X0,X1] :
( sdteqdtlpzmzozddtrp0(X0,X3,X2)
| ~ sdteqdtlpzmzozddtrp0(X1,X3,X2)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aInteger0(X3)
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0,X1,X2,X3] :
( sdteqdtlpzmzozddtrp0(X0,X3,X2)
| ~ sdteqdtlpzmzozddtrp0(X1,X3,X2)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aInteger0(X3)
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f112]) ).
fof(f112,plain,
! [X0,X1,X2,X3] :
( sdteqdtlpzmzozddtrp0(X0,X3,X2)
| ~ sdteqdtlpzmzozddtrp0(X1,X3,X2)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aInteger0(X3)
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0,X1,X2,X3] :
( ( aInteger0(X3)
& sz00 != X2
& aInteger0(X2)
& aInteger0(X1)
& aInteger0(X0) )
=> ( ( sdteqdtlpzmzozddtrp0(X1,X3,X2)
& sdteqdtlpzmzozddtrp0(X0,X1,X2) )
=> sdteqdtlpzmzozddtrp0(X0,X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEquModTrn) ).
fof(f1180,plain,
spl27_138,
inference(avatar_split_clause,[],[f315,f1178]) ).
fof(f315,plain,
! [X2,X0,X1] :
( sP11(X0,X1,X2)
| aElementOf0(sK26(X0,X1,X2),X0)
| aElementOf0(sK26(X0,X1,X2),X1)
| aElementOf0(sK26(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f195]) ).
fof(f195,plain,
! [X0,X1,X2] :
( ( sP11(X0,X1,X2)
| ( ( ( ~ aElementOf0(sK26(X0,X1,X2),X0)
& ~ aElementOf0(sK26(X0,X1,X2),X1) )
| ~ aInteger0(sK26(X0,X1,X2))
| ~ aElementOf0(sK26(X0,X1,X2),X2) )
& ( ( ( aElementOf0(sK26(X0,X1,X2),X0)
| aElementOf0(sK26(X0,X1,X2),X1) )
& aInteger0(sK26(X0,X1,X2)) )
| aElementOf0(sK26(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( aElementOf0(X4,X2)
| ( ~ aElementOf0(X4,X0)
& ~ aElementOf0(X4,X1) )
| ~ aInteger0(X4) )
& ( ( ( aElementOf0(X4,X0)
| aElementOf0(X4,X1) )
& aInteger0(X4) )
| ~ aElementOf0(X4,X2) ) )
| ~ sP11(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK26])],[f193,f194]) ).
fof(f194,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ( ~ aElementOf0(X3,X0)
& ~ aElementOf0(X3,X1) )
| ~ aInteger0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( ( aElementOf0(X3,X0)
| aElementOf0(X3,X1) )
& aInteger0(X3) )
| aElementOf0(X3,X2) ) )
=> ( ( ( ~ aElementOf0(sK26(X0,X1,X2),X0)
& ~ aElementOf0(sK26(X0,X1,X2),X1) )
| ~ aInteger0(sK26(X0,X1,X2))
| ~ aElementOf0(sK26(X0,X1,X2),X2) )
& ( ( ( aElementOf0(sK26(X0,X1,X2),X0)
| aElementOf0(sK26(X0,X1,X2),X1) )
& aInteger0(sK26(X0,X1,X2)) )
| aElementOf0(sK26(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f193,plain,
! [X0,X1,X2] :
( ( sP11(X0,X1,X2)
| ? [X3] :
( ( ( ~ aElementOf0(X3,X0)
& ~ aElementOf0(X3,X1) )
| ~ aInteger0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( ( aElementOf0(X3,X0)
| aElementOf0(X3,X1) )
& aInteger0(X3) )
| aElementOf0(X3,X2) ) ) )
& ( ! [X4] :
( ( aElementOf0(X4,X2)
| ( ~ aElementOf0(X4,X0)
& ~ aElementOf0(X4,X1) )
| ~ aInteger0(X4) )
& ( ( ( aElementOf0(X4,X0)
| aElementOf0(X4,X1) )
& aInteger0(X4) )
| ~ aElementOf0(X4,X2) ) )
| ~ sP11(X0,X1,X2) ) ),
inference(rectify,[],[f192]) ).
fof(f192,plain,
! [X1,X0,X2] :
( ( sP11(X1,X0,X2)
| ? [X3] :
( ( ( ~ aElementOf0(X3,X1)
& ~ aElementOf0(X3,X0) )
| ~ aInteger0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( ( aElementOf0(X3,X1)
| aElementOf0(X3,X0) )
& aInteger0(X3) )
| aElementOf0(X3,X2) ) ) )
& ( ! [X3] :
( ( aElementOf0(X3,X2)
| ( ~ aElementOf0(X3,X1)
& ~ aElementOf0(X3,X0) )
| ~ aInteger0(X3) )
& ( ( ( aElementOf0(X3,X1)
| aElementOf0(X3,X0) )
& aInteger0(X3) )
| ~ aElementOf0(X3,X2) ) )
| ~ sP11(X1,X0,X2) ) ),
inference(flattening,[],[f191]) ).
fof(f191,plain,
! [X1,X0,X2] :
( ( sP11(X1,X0,X2)
| ? [X3] :
( ( ( ~ aElementOf0(X3,X1)
& ~ aElementOf0(X3,X0) )
| ~ aInteger0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( ( aElementOf0(X3,X1)
| aElementOf0(X3,X0) )
& aInteger0(X3) )
| aElementOf0(X3,X2) ) ) )
& ( ! [X3] :
( ( aElementOf0(X3,X2)
| ( ~ aElementOf0(X3,X1)
& ~ aElementOf0(X3,X0) )
| ~ aInteger0(X3) )
& ( ( ( aElementOf0(X3,X1)
| aElementOf0(X3,X0) )
& aInteger0(X3) )
| ~ aElementOf0(X3,X2) ) )
| ~ sP11(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X1,X0,X2] :
( sP11(X1,X0,X2)
<=> ! [X3] :
( aElementOf0(X3,X2)
<=> ( ( aElementOf0(X3,X1)
| aElementOf0(X3,X0) )
& aInteger0(X3) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f1172,plain,
spl27_137,
inference(avatar_split_clause,[],[f317,f1170]) ).
fof(f1170,plain,
( spl27_137
<=> ! [X2,X0,X1] :
( sP11(X0,X1,X2)
| ~ aElementOf0(sK26(X0,X1,X2),X0)
| ~ aInteger0(sK26(X0,X1,X2))
| ~ aElementOf0(sK26(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_137])]) ).
fof(f317,plain,
! [X2,X0,X1] :
( sP11(X0,X1,X2)
| ~ aElementOf0(sK26(X0,X1,X2),X0)
| ~ aInteger0(sK26(X0,X1,X2))
| ~ aElementOf0(sK26(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f195]) ).
fof(f1168,plain,
spl27_136,
inference(avatar_split_clause,[],[f316,f1166]) ).
fof(f1166,plain,
( spl27_136
<=> ! [X2,X0,X1] :
( sP11(X0,X1,X2)
| ~ aElementOf0(sK26(X0,X1,X2),X1)
| ~ aInteger0(sK26(X0,X1,X2))
| ~ aElementOf0(sK26(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_136])]) ).
fof(f316,plain,
! [X2,X0,X1] :
( sP11(X0,X1,X2)
| ~ aElementOf0(sK26(X0,X1,X2),X1)
| ~ aInteger0(sK26(X0,X1,X2))
| ~ aElementOf0(sK26(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f195]) ).
fof(f1158,plain,
spl27_135,
inference(avatar_split_clause,[],[f274,f1156]) ).
fof(f274,plain,
! [X3,X0,X1] :
( sP6(X0,X1)
| ~ aElementOf0(sK19(X0,X1),X3)
| ~ aElementOf0(X3,X0)
| ~ aInteger0(sK19(X0,X1))
| ~ aElementOf0(sK19(X0,X1),X1) ),
inference(cnf_transformation,[],[f173]) ).
fof(f173,plain,
! [X0,X1] :
( ( sP6(X0,X1)
| ( ( ! [X3] :
( ~ aElementOf0(sK19(X0,X1),X3)
| ~ aElementOf0(X3,X0) )
| ~ aInteger0(sK19(X0,X1))
| ~ aElementOf0(sK19(X0,X1),X1) )
& ( ( aElementOf0(sK19(X0,X1),sK20(X0,X1))
& aElementOf0(sK20(X0,X1),X0)
& aInteger0(sK19(X0,X1)) )
| aElementOf0(sK19(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( aElementOf0(X5,X1)
| ! [X6] :
( ~ aElementOf0(X5,X6)
| ~ aElementOf0(X6,X0) )
| ~ aInteger0(X5) )
& ( ( aElementOf0(X5,sK21(X0,X5))
& aElementOf0(sK21(X0,X5),X0)
& aInteger0(X5) )
| ~ aElementOf0(X5,X1) ) )
| ~ sP6(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19,sK20,sK21])],[f169,f172,f171,f170]) ).
fof(f170,plain,
! [X0,X1] :
( ? [X2] :
( ( ! [X3] :
( ~ aElementOf0(X2,X3)
| ~ aElementOf0(X3,X0) )
| ~ aInteger0(X2)
| ~ aElementOf0(X2,X1) )
& ( ( ? [X4] :
( aElementOf0(X2,X4)
& aElementOf0(X4,X0) )
& aInteger0(X2) )
| aElementOf0(X2,X1) ) )
=> ( ( ! [X3] :
( ~ aElementOf0(sK19(X0,X1),X3)
| ~ aElementOf0(X3,X0) )
| ~ aInteger0(sK19(X0,X1))
| ~ aElementOf0(sK19(X0,X1),X1) )
& ( ( ? [X4] :
( aElementOf0(sK19(X0,X1),X4)
& aElementOf0(X4,X0) )
& aInteger0(sK19(X0,X1)) )
| aElementOf0(sK19(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f171,plain,
! [X0,X1] :
( ? [X4] :
( aElementOf0(sK19(X0,X1),X4)
& aElementOf0(X4,X0) )
=> ( aElementOf0(sK19(X0,X1),sK20(X0,X1))
& aElementOf0(sK20(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f172,plain,
! [X0,X5] :
( ? [X7] :
( aElementOf0(X5,X7)
& aElementOf0(X7,X0) )
=> ( aElementOf0(X5,sK21(X0,X5))
& aElementOf0(sK21(X0,X5),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f169,plain,
! [X0,X1] :
( ( sP6(X0,X1)
| ? [X2] :
( ( ! [X3] :
( ~ aElementOf0(X2,X3)
| ~ aElementOf0(X3,X0) )
| ~ aInteger0(X2)
| ~ aElementOf0(X2,X1) )
& ( ( ? [X4] :
( aElementOf0(X2,X4)
& aElementOf0(X4,X0) )
& aInteger0(X2) )
| aElementOf0(X2,X1) ) ) )
& ( ! [X5] :
( ( aElementOf0(X5,X1)
| ! [X6] :
( ~ aElementOf0(X5,X6)
| ~ aElementOf0(X6,X0) )
| ~ aInteger0(X5) )
& ( ( ? [X7] :
( aElementOf0(X5,X7)
& aElementOf0(X7,X0) )
& aInteger0(X5) )
| ~ aElementOf0(X5,X1) ) )
| ~ sP6(X0,X1) ) ),
inference(rectify,[],[f168]) ).
fof(f168,plain,
! [X0,X2] :
( ( sP6(X0,X2)
| ? [X3] :
( ( ! [X4] :
( ~ aElementOf0(X3,X4)
| ~ aElementOf0(X4,X0) )
| ~ aInteger0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( ? [X4] :
( aElementOf0(X3,X4)
& aElementOf0(X4,X0) )
& aInteger0(X3) )
| aElementOf0(X3,X2) ) ) )
& ( ! [X3] :
( ( aElementOf0(X3,X2)
| ! [X4] :
( ~ aElementOf0(X3,X4)
| ~ aElementOf0(X4,X0) )
| ~ aInteger0(X3) )
& ( ( ? [X4] :
( aElementOf0(X3,X4)
& aElementOf0(X4,X0) )
& aInteger0(X3) )
| ~ aElementOf0(X3,X2) ) )
| ~ sP6(X0,X2) ) ),
inference(flattening,[],[f167]) ).
fof(f167,plain,
! [X0,X2] :
( ( sP6(X0,X2)
| ? [X3] :
( ( ! [X4] :
( ~ aElementOf0(X3,X4)
| ~ aElementOf0(X4,X0) )
| ~ aInteger0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( ? [X4] :
( aElementOf0(X3,X4)
& aElementOf0(X4,X0) )
& aInteger0(X3) )
| aElementOf0(X3,X2) ) ) )
& ( ! [X3] :
( ( aElementOf0(X3,X2)
| ! [X4] :
( ~ aElementOf0(X3,X4)
| ~ aElementOf0(X4,X0) )
| ~ aInteger0(X3) )
& ( ( ? [X4] :
( aElementOf0(X3,X4)
& aElementOf0(X4,X0) )
& aInteger0(X3) )
| ~ aElementOf0(X3,X2) ) )
| ~ sP6(X0,X2) ) ),
inference(nnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0,X2] :
( sP6(X0,X2)
<=> ! [X3] :
( aElementOf0(X3,X2)
<=> ( ? [X4] :
( aElementOf0(X3,X4)
& aElementOf0(X4,X0) )
& aInteger0(X3) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f1154,plain,
( ~ spl27_7
| ~ spl27_4
| spl27_134
| ~ spl27_3
| ~ spl27_130 ),
inference(avatar_split_clause,[],[f1128,f1109,f363,f1152,f368,f383]) ).
fof(f1152,plain,
( spl27_134
<=> ! [X0] :
( aDivisorOf0(X0,smndt0(sz10))
| ~ aInteger0(X0)
| sz00 = X0
| ~ sdteqdtlpzmzozddtrp0(sz10,xp,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_134])]) ).
fof(f1128,plain,
( ! [X0] :
( aDivisorOf0(X0,smndt0(sz10))
| ~ sdteqdtlpzmzozddtrp0(sz10,xp,X0)
| sz00 = X0
| ~ aInteger0(X0)
| ~ aInteger0(xp)
| ~ aInteger0(sz10) )
| ~ spl27_3
| ~ spl27_130 ),
inference(superposition,[],[f1110,f365]) ).
fof(f1123,plain,
spl27_133,
inference(avatar_split_clause,[],[f327,f1121]) ).
fof(f327,plain,
! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0,X1,X2] :
( ( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) )
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f108]) ).
fof(f108,plain,
! [X0,X1,X2] :
( ( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) )
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aInteger0(X2)
& aInteger0(X1)
& aInteger0(X0) )
=> ( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDistrib) ).
fof(f1119,plain,
spl27_132,
inference(avatar_split_clause,[],[f326,f1117]) ).
fof(f326,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f1115,plain,
spl27_131,
inference(avatar_split_clause,[],[f323,f1113]) ).
fof(f323,plain,
! [X2,X0,X1] :
( sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1)))
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f198]) ).
fof(f198,plain,
! [X0,X1,X2] :
( ( ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1))) )
& ( aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1)))
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2) ) )
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(nnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1,X2] :
( ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
<=> aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1))) )
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f102]) ).
fof(f102,plain,
! [X0,X1,X2] :
( ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
<=> aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1))) )
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0,X1,X2] :
( ( sz00 != X2
& aInteger0(X2)
& aInteger0(X1)
& aInteger0(X0) )
=> ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
<=> aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEquMod) ).
fof(f1111,plain,
spl27_130,
inference(avatar_split_clause,[],[f322,f1109]) ).
fof(f322,plain,
! [X2,X0,X1] :
( aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1)))
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f198]) ).
fof(f1104,plain,
spl27_129,
inference(avatar_split_clause,[],[f289,f1102]) ).
fof(f289,plain,
! [X2,X0,X1] :
( sP8(X0,X1,X2)
| sdteqdtlpzmzozddtrp0(sK24(X0,X1,X2),X1,X0)
| aElementOf0(sK24(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f183]) ).
fof(f1100,plain,
spl27_128,
inference(avatar_split_clause,[],[f260,f1098]) ).
fof(f1098,plain,
( spl27_128
<=> ! [X0,X1] :
( sP4(X0,X1)
| aElementOf0(sK17(X0,X1),X0)
| ~ aInteger0(sK17(X0,X1))
| ~ aElementOf0(sK17(X0,X1),X1)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_128])]) ).
fof(f260,plain,
! [X0,X1] :
( sP4(X0,X1)
| aElementOf0(sK17(X0,X1),X0)
| ~ aInteger0(sK17(X0,X1))
| ~ aElementOf0(sK17(X0,X1),X1)
| ~ aSet0(X1) ),
inference(cnf_transformation,[],[f161]) ).
fof(f161,plain,
! [X0,X1] :
( ( sP4(X0,X1)
| ( ( aElementOf0(sK17(X0,X1),X0)
| ~ aInteger0(sK17(X0,X1))
| ~ aElementOf0(sK17(X0,X1),X1) )
& ( ( ~ aElementOf0(sK17(X0,X1),X0)
& aInteger0(sK17(X0,X1)) )
| aElementOf0(sK17(X0,X1),X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X1)
| aElementOf0(X3,X0)
| ~ aInteger0(X3) )
& ( ( ~ aElementOf0(X3,X0)
& aInteger0(X3) )
| ~ aElementOf0(X3,X1) ) )
& aSet0(X1) )
| ~ sP4(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f159,f160]) ).
fof(f160,plain,
! [X0,X1] :
( ? [X2] :
( ( aElementOf0(X2,X0)
| ~ aInteger0(X2)
| ~ aElementOf0(X2,X1) )
& ( ( ~ aElementOf0(X2,X0)
& aInteger0(X2) )
| aElementOf0(X2,X1) ) )
=> ( ( aElementOf0(sK17(X0,X1),X0)
| ~ aInteger0(sK17(X0,X1))
| ~ aElementOf0(sK17(X0,X1),X1) )
& ( ( ~ aElementOf0(sK17(X0,X1),X0)
& aInteger0(sK17(X0,X1)) )
| aElementOf0(sK17(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f159,plain,
! [X0,X1] :
( ( sP4(X0,X1)
| ? [X2] :
( ( aElementOf0(X2,X0)
| ~ aInteger0(X2)
| ~ aElementOf0(X2,X1) )
& ( ( ~ aElementOf0(X2,X0)
& aInteger0(X2) )
| aElementOf0(X2,X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X1)
| aElementOf0(X3,X0)
| ~ aInteger0(X3) )
& ( ( ~ aElementOf0(X3,X0)
& aInteger0(X3) )
| ~ aElementOf0(X3,X1) ) )
& aSet0(X1) )
| ~ sP4(X0,X1) ) ),
inference(rectify,[],[f158]) ).
fof(f158,plain,
! [X0,X1] :
( ( sP4(X0,X1)
| ? [X2] :
( ( aElementOf0(X2,X0)
| ~ aInteger0(X2)
| ~ aElementOf0(X2,X1) )
& ( ( ~ aElementOf0(X2,X0)
& aInteger0(X2) )
| aElementOf0(X2,X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( ( aElementOf0(X2,X1)
| aElementOf0(X2,X0)
| ~ aInteger0(X2) )
& ( ( ~ aElementOf0(X2,X0)
& aInteger0(X2) )
| ~ aElementOf0(X2,X1) ) )
& aSet0(X1) )
| ~ sP4(X0,X1) ) ),
inference(flattening,[],[f157]) ).
fof(f157,plain,
! [X0,X1] :
( ( sP4(X0,X1)
| ? [X2] :
( ( aElementOf0(X2,X0)
| ~ aInteger0(X2)
| ~ aElementOf0(X2,X1) )
& ( ( ~ aElementOf0(X2,X0)
& aInteger0(X2) )
| aElementOf0(X2,X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( ( aElementOf0(X2,X1)
| aElementOf0(X2,X0)
| ~ aInteger0(X2) )
& ( ( ~ aElementOf0(X2,X0)
& aInteger0(X2) )
| ~ aElementOf0(X2,X1) ) )
& aSet0(X1) )
| ~ sP4(X0,X1) ) ),
inference(nnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0,X1] :
( sP4(X0,X1)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ( ~ aElementOf0(X2,X0)
& aInteger0(X2) ) )
& aSet0(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f1072,plain,
spl27_127,
inference(avatar_split_clause,[],[f325,f1070]) ).
fof(f325,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X0,X1),X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0,X1,X2] :
( sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X0,X1),X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f106]) ).
fof(f106,plain,
! [X0,X1,X2] :
( sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X0,X1),X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0,X1,X2] :
( ( aInteger0(X2)
& aInteger0(X1)
& aInteger0(X0) )
=> sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X0,X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulAsso) ).
fof(f1068,plain,
spl27_126,
inference(avatar_split_clause,[],[f324,f1066]) ).
fof(f324,plain,
! [X2,X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1,X2] :
( sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f104]) ).
fof(f104,plain,
! [X0,X1,X2] :
( sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1,X2] :
( ( aInteger0(X2)
& aInteger0(X1)
& aInteger0(X0) )
=> sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddAsso) ).
fof(f1061,plain,
spl27_125,
inference(avatar_split_clause,[],[f321,f1059]) ).
fof(f321,plain,
! [X2,X0,X1] :
( sdteqdtlpzmzozddtrp0(X1,X0,X2)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0,X1,X2] :
( sdteqdtlpzmzozddtrp0(X1,X0,X2)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f100]) ).
fof(f100,plain,
! [X0,X1,X2] :
( sdteqdtlpzmzozddtrp0(X1,X0,X2)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0,X1,X2] :
( ( sz00 != X2
& aInteger0(X2)
& aInteger0(X1)
& aInteger0(X0) )
=> ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
=> sdteqdtlpzmzozddtrp0(X1,X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEquModSym) ).
fof(f1057,plain,
spl27_124,
inference(avatar_split_clause,[],[f320,f1055]) ).
fof(f1055,plain,
( spl27_124
<=> ! [X2,X0,X1] :
( sdtbsmnsldt0(X0,X1) = X2
| ~ sP11(X1,X0,X2)
| ~ aSet0(X2)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_124])]) ).
fof(f320,plain,
! [X2,X0,X1] :
( sdtbsmnsldt0(X0,X1) = X2
| ~ sP11(X1,X0,X2)
| ~ aSet0(X2)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[],[f197]) ).
fof(f197,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtbsmnsldt0(X0,X1) = X2
| ~ sP11(X1,X0,X2)
| ~ aSet0(X2) )
& ( ( sP11(X1,X0,X2)
& aSet0(X2) )
| sdtbsmnsldt0(X0,X1) != X2 ) )
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(flattening,[],[f196]) ).
fof(f196,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtbsmnsldt0(X0,X1) = X2
| ~ sP11(X1,X0,X2)
| ~ aSet0(X2) )
& ( ( sP11(X1,X0,X2)
& aSet0(X2) )
| sdtbsmnsldt0(X0,X1) != X2 ) )
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(nnf_transformation,[],[f132]) ).
fof(f132,plain,
! [X0,X1] :
( ! [X2] :
( sdtbsmnsldt0(X0,X1) = X2
<=> ( sP11(X1,X0,X2)
& aSet0(X2) ) )
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(definition_folding,[],[f99,f131]) ).
fof(f99,plain,
! [X0,X1] :
( ! [X2] :
( sdtbsmnsldt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( ( aElementOf0(X3,X1)
| aElementOf0(X3,X0) )
& aInteger0(X3) ) )
& aSet0(X2) ) )
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(flattening,[],[f98]) ).
fof(f98,plain,
! [X0,X1] :
( ! [X2] :
( sdtbsmnsldt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( ( aElementOf0(X3,X1)
| aElementOf0(X3,X0) )
& aInteger0(X3) ) )
& aSet0(X2) ) )
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0,X1] :
( ( aSubsetOf0(X1,cS1395)
& aSubsetOf0(X0,cS1395) )
=> ! [X2] :
( sdtbsmnsldt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( ( aElementOf0(X3,X1)
| aElementOf0(X3,X0) )
& aInteger0(X3) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mUnion) ).
fof(f1053,plain,
spl27_123,
inference(avatar_split_clause,[],[f309,f1051]) ).
fof(f1051,plain,
( spl27_123
<=> ! [X2,X0,X1] :
( sdtslmnbsdt0(X0,X1) = X2
| ~ sP10(X1,X0,X2)
| ~ aSet0(X2)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_123])]) ).
fof(f309,plain,
! [X2,X0,X1] :
( sdtslmnbsdt0(X0,X1) = X2
| ~ sP10(X1,X0,X2)
| ~ aSet0(X2)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[],[f190]) ).
fof(f190,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtslmnbsdt0(X0,X1) = X2
| ~ sP10(X1,X0,X2)
| ~ aSet0(X2) )
& ( ( sP10(X1,X0,X2)
& aSet0(X2) )
| sdtslmnbsdt0(X0,X1) != X2 ) )
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(flattening,[],[f189]) ).
fof(f189,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtslmnbsdt0(X0,X1) = X2
| ~ sP10(X1,X0,X2)
| ~ aSet0(X2) )
& ( ( sP10(X1,X0,X2)
& aSet0(X2) )
| sdtslmnbsdt0(X0,X1) != X2 ) )
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(nnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0,X1] :
( ! [X2] :
( sdtslmnbsdt0(X0,X1) = X2
<=> ( sP10(X1,X0,X2)
& aSet0(X2) ) )
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(definition_folding,[],[f97,f129]) ).
fof(f97,plain,
! [X0,X1] :
( ! [X2] :
( sdtslmnbsdt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElementOf0(X3,X1)
& aElementOf0(X3,X0)
& aInteger0(X3) ) )
& aSet0(X2) ) )
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(flattening,[],[f96]) ).
fof(f96,plain,
! [X0,X1] :
( ! [X2] :
( sdtslmnbsdt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElementOf0(X3,X1)
& aElementOf0(X3,X0)
& aInteger0(X3) ) )
& aSet0(X2) ) )
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0,X1] :
( ( aSubsetOf0(X1,cS1395)
& aSubsetOf0(X0,cS1395) )
=> ! [X2] :
( sdtslmnbsdt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElementOf0(X3,X1)
& aElementOf0(X3,X0)
& aInteger0(X3) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntersection) ).
fof(f1049,plain,
spl27_122,
inference(avatar_split_clause,[],[f288,f1047]) ).
fof(f1047,plain,
( spl27_122
<=> ! [X2,X0,X1] :
( sP8(X0,X1,X2)
| aInteger0(sK24(X0,X1,X2))
| aElementOf0(sK24(X0,X1,X2),X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_122])]) ).
fof(f288,plain,
! [X2,X0,X1] :
( sP8(X0,X1,X2)
| aInteger0(sK24(X0,X1,X2))
| aElementOf0(sK24(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f183]) ).
fof(f1043,plain,
spl27_121,
inference(avatar_split_clause,[],[f305,f1041]) ).
fof(f305,plain,
! [X2,X0,X1] :
( sP10(X0,X1,X2)
| aElementOf0(sK25(X0,X1,X2),X0)
| aElementOf0(sK25(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f188]) ).
fof(f1039,plain,
spl27_120,
inference(avatar_split_clause,[],[f304,f1037]) ).
fof(f304,plain,
! [X2,X0,X1] :
( sP10(X0,X1,X2)
| aElementOf0(sK25(X0,X1,X2),X1)
| aElementOf0(sK25(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f188]) ).
fof(f1028,plain,
spl27_119,
inference(avatar_split_clause,[],[f314,f1026]) ).
fof(f314,plain,
! [X2,X0,X1] :
( sP11(X0,X1,X2)
| aInteger0(sK26(X0,X1,X2))
| aElementOf0(sK26(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f195]) ).
fof(f1024,plain,
spl27_118,
inference(avatar_split_clause,[],[f303,f1022]) ).
fof(f303,plain,
! [X2,X0,X1] :
( sP10(X0,X1,X2)
| aInteger0(sK25(X0,X1,X2))
| aElementOf0(sK25(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f188]) ).
fof(f1020,plain,
spl27_117,
inference(avatar_split_clause,[],[f302,f1018]) ).
fof(f302,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElementOf0(X4,X0)
| ~ aElementOf0(X4,X1)
| ~ aInteger0(X4)
| ~ sP10(X0,X1,X2) ),
inference(cnf_transformation,[],[f188]) ).
fof(f1016,plain,
spl27_116,
inference(avatar_split_clause,[],[f296,f1014]) ).
fof(f296,plain,
! [X0,X1] :
( sz00 = X1
| sz00 = X0
| sz00 != sdtasdt0(X0,X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0,X1] :
( sz00 = X1
| sz00 = X0
| sz00 != sdtasdt0(X0,X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f90]) ).
fof(f90,plain,
! [X0,X1] :
( sz00 = X1
| sz00 = X0
| sz00 != sdtasdt0(X0,X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0,X1] :
( ( aInteger0(X1)
& aInteger0(X0) )
=> ( sz00 = sdtasdt0(X0,X1)
=> ( sz00 = X1
| sz00 = X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroDiv) ).
fof(f1012,plain,
spl27_115,
inference(avatar_split_clause,[],[f273,f1010]) ).
fof(f1010,plain,
( spl27_115
<=> ! [X0,X1] :
( sP6(X0,X1)
| aElementOf0(sK19(X0,X1),sK20(X0,X1))
| aElementOf0(sK19(X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_115])]) ).
fof(f273,plain,
! [X0,X1] :
( sP6(X0,X1)
| aElementOf0(sK19(X0,X1),sK20(X0,X1))
| aElementOf0(sK19(X0,X1),X1) ),
inference(cnf_transformation,[],[f173]) ).
fof(f1008,plain,
spl27_114,
inference(avatar_split_clause,[],[f259,f1006]) ).
fof(f1006,plain,
( spl27_114
<=> ! [X0,X1] :
( sP4(X0,X1)
| ~ aElementOf0(sK17(X0,X1),X0)
| aElementOf0(sK17(X0,X1),X1)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_114])]) ).
fof(f259,plain,
! [X0,X1] :
( sP4(X0,X1)
| ~ aElementOf0(sK17(X0,X1),X0)
| aElementOf0(sK17(X0,X1),X1)
| ~ aSet0(X1) ),
inference(cnf_transformation,[],[f161]) ).
fof(f1001,plain,
spl27_113,
inference(avatar_split_clause,[],[f298,f999]) ).
fof(f999,plain,
( spl27_113
<=> ! [X0,X1] :
( isClosed0(sdtbsmnsldt0(X0,X1))
| ~ isClosed0(X1)
| ~ isClosed0(X0)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_113])]) ).
fof(f298,plain,
! [X0,X1] :
( isClosed0(sdtbsmnsldt0(X0,X1))
| ~ isClosed0(X1)
| ~ isClosed0(X0)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0,X1] :
( isClosed0(sdtbsmnsldt0(X0,X1))
| ~ isClosed0(X1)
| ~ isClosed0(X0)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(flattening,[],[f94]) ).
fof(f94,plain,
! [X0,X1] :
( isClosed0(sdtbsmnsldt0(X0,X1))
| ~ isClosed0(X1)
| ~ isClosed0(X0)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0,X1] :
( ( isClosed0(X1)
& isClosed0(X0)
& aSubsetOf0(X1,cS1395)
& aSubsetOf0(X0,cS1395) )
=> isClosed0(sdtbsmnsldt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mUnionClosed) ).
fof(f997,plain,
spl27_112,
inference(avatar_split_clause,[],[f297,f995]) ).
fof(f995,plain,
( spl27_112
<=> ! [X0,X1] :
( isOpen0(sdtslmnbsdt0(X0,X1))
| ~ isOpen0(X1)
| ~ isOpen0(X0)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_112])]) ).
fof(f297,plain,
! [X0,X1] :
( isOpen0(sdtslmnbsdt0(X0,X1))
| ~ isOpen0(X1)
| ~ isOpen0(X0)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0,X1] :
( isOpen0(sdtslmnbsdt0(X0,X1))
| ~ isOpen0(X1)
| ~ isOpen0(X0)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(flattening,[],[f92]) ).
fof(f92,plain,
! [X0,X1] :
( isOpen0(sdtslmnbsdt0(X0,X1))
| ~ isOpen0(X1)
| ~ isOpen0(X0)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0,X1] :
( ( isOpen0(X1)
& isOpen0(X0)
& aSubsetOf0(X1,cS1395)
& aSubsetOf0(X0,cS1395) )
=> isOpen0(sdtslmnbsdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mInterOpen) ).
fof(f993,plain,
spl27_111,
inference(avatar_split_clause,[],[f270,f991]) ).
fof(f270,plain,
! [X0,X1,X6,X5] :
( aElementOf0(X5,X1)
| ~ aElementOf0(X5,X6)
| ~ aElementOf0(X6,X0)
| ~ aInteger0(X5)
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f173]) ).
fof(f989,plain,
spl27_110,
inference(avatar_split_clause,[],[f263,f987]) ).
fof(f987,plain,
( spl27_110
<=> ! [X0] :
( isClosed0(sbsmnsldt0(X0))
| ~ isClosed0(sK18(X0))
| ~ aSubsetOf0(sK18(X0),cS1395)
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_110])]) ).
fof(f263,plain,
! [X0] :
( isClosed0(sbsmnsldt0(X0))
| ~ isClosed0(sK18(X0))
| ~ aSubsetOf0(sK18(X0),cS1395)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f163]) ).
fof(f163,plain,
! [X0] :
( isClosed0(sbsmnsldt0(X0))
| ( ( ~ isClosed0(sK18(X0))
| ~ aSubsetOf0(sK18(X0),cS1395) )
& aElementOf0(sK18(X0),X0) )
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f71,f162]) ).
fof(f162,plain,
! [X0] :
( ? [X1] :
( ( ~ isClosed0(X1)
| ~ aSubsetOf0(X1,cS1395) )
& aElementOf0(X1,X0) )
=> ( ( ~ isClosed0(sK18(X0))
| ~ aSubsetOf0(sK18(X0),cS1395) )
& aElementOf0(sK18(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f71,plain,
! [X0] :
( isClosed0(sbsmnsldt0(X0))
| ? [X1] :
( ( ~ isClosed0(X1)
| ~ aSubsetOf0(X1,cS1395) )
& aElementOf0(X1,X0) )
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f70]) ).
fof(f70,plain,
! [X0] :
( isClosed0(sbsmnsldt0(X0))
| ? [X1] :
( ( ~ isClosed0(X1)
| ~ aSubsetOf0(X1,cS1395) )
& aElementOf0(X1,X0) )
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,axiom,
! [X0] :
( ( ! [X1] :
( aElementOf0(X1,X0)
=> ( isClosed0(X1)
& aSubsetOf0(X1,cS1395) ) )
& isFinite0(X0)
& aSet0(X0) )
=> isClosed0(sbsmnsldt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mUnionSClosed) ).
fof(f985,plain,
spl27_109,
inference(avatar_split_clause,[],[f258,f983]) ).
fof(f258,plain,
! [X0,X1] :
( sP4(X0,X1)
| aInteger0(sK17(X0,X1))
| aElementOf0(sK17(X0,X1),X1)
| ~ aSet0(X1) ),
inference(cnf_transformation,[],[f161]) ).
fof(f981,plain,
( spl27_108
| ~ spl27_4
| ~ spl27_37 ),
inference(avatar_split_clause,[],[f556,f521,f368,f978]) ).
fof(f556,plain,
( xp = sdtpldt0(sz00,xp)
| ~ spl27_4
| ~ spl27_37 ),
inference(resolution,[],[f522,f370]) ).
fof(f968,plain,
spl27_107,
inference(avatar_split_clause,[],[f311,f966]) ).
fof(f311,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X0)
| aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ sP11(X0,X1,X2) ),
inference(cnf_transformation,[],[f195]) ).
fof(f964,plain,
spl27_106,
inference(avatar_split_clause,[],[f287,f962]) ).
fof(f287,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| ~ sdteqdtlpzmzozddtrp0(X4,X1,X0)
| ~ aInteger0(X4)
| ~ sP8(X0,X1,X2) ),
inference(cnf_transformation,[],[f183]) ).
fof(f960,plain,
spl27_105,
inference(avatar_split_clause,[],[f272,f958]) ).
fof(f272,plain,
! [X0,X1] :
( sP6(X0,X1)
| aElementOf0(sK20(X0,X1),X0)
| aElementOf0(sK19(X0,X1),X1) ),
inference(cnf_transformation,[],[f173]) ).
fof(f956,plain,
spl27_104,
inference(avatar_split_clause,[],[f248,f954]) ).
fof(f248,plain,
! [X2,X0] :
( sP2(X0)
| ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sK15(X0),X2),X0)
| sz00 = X2
| ~ aInteger0(X2) ),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
! [X0] :
( ( sP2(X0)
| ( ! [X2] :
( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sK15(X0),X2),X0)
| sz00 = X2
| ~ aInteger0(X2) )
& aElementOf0(sK15(X0),X0) ) )
& ( ! [X3] :
( ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X3,sK16(X0,X3)),X0)
& sz00 != sK16(X0,X3)
& aInteger0(sK16(X0,X3)) )
| ~ aElementOf0(X3,X0) )
| ~ sP2(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15,sK16])],[f151,f153,f152]) ).
fof(f152,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),X0)
| sz00 = X2
| ~ aInteger0(X2) )
& aElementOf0(X1,X0) )
=> ( ! [X2] :
( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sK15(X0),X2),X0)
| sz00 = X2
| ~ aInteger0(X2) )
& aElementOf0(sK15(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f153,plain,
! [X0,X3] :
( ? [X4] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X3,X4),X0)
& sz00 != X4
& aInteger0(X4) )
=> ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X3,sK16(X0,X3)),X0)
& sz00 != sK16(X0,X3)
& aInteger0(sK16(X0,X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f151,plain,
! [X0] :
( ( sP2(X0)
| ? [X1] :
( ! [X2] :
( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),X0)
| sz00 = X2
| ~ aInteger0(X2) )
& aElementOf0(X1,X0) ) )
& ( ! [X3] :
( ? [X4] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X3,X4),X0)
& sz00 != X4
& aInteger0(X4) )
| ~ aElementOf0(X3,X0) )
| ~ sP2(X0) ) ),
inference(rectify,[],[f150]) ).
fof(f150,plain,
! [X0] :
( ( sP2(X0)
| ? [X1] :
( ! [X2] :
( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),X0)
| sz00 = X2
| ~ aInteger0(X2) )
& aElementOf0(X1,X0) ) )
& ( ! [X1] :
( ? [X2] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),X0)
& sz00 != X2
& aInteger0(X2) )
| ~ aElementOf0(X1,X0) )
| ~ sP2(X0) ) ),
inference(nnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0] :
( sP2(X0)
<=> ! [X1] :
( ? [X2] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),X0)
& sz00 != X2
& aInteger0(X2) )
| ~ aElementOf0(X1,X0) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f952,plain,
spl27_103,
inference(avatar_split_clause,[],[f232,f950]) ).
fof(f232,plain,
! [X0] :
( aDivisorOf0(sK13(X0),X0)
| smndt0(sz10) = X0
| sz10 = X0
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
! [X0] :
( ( ( ( isPrime0(sK13(X0))
& aDivisorOf0(sK13(X0),X0) )
| smndt0(sz10) = X0
| sz10 = X0 )
& ( ( smndt0(sz10) != X0
& sz10 != X0 )
| ! [X2] :
( ~ isPrime0(X2)
| ~ aDivisorOf0(X2,X0) ) ) )
| ~ aInteger0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f140,f141]) ).
fof(f141,plain,
! [X0] :
( ? [X1] :
( isPrime0(X1)
& aDivisorOf0(X1,X0) )
=> ( isPrime0(sK13(X0))
& aDivisorOf0(sK13(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f140,plain,
! [X0] :
( ( ( ? [X1] :
( isPrime0(X1)
& aDivisorOf0(X1,X0) )
| smndt0(sz10) = X0
| sz10 = X0 )
& ( ( smndt0(sz10) != X0
& sz10 != X0 )
| ! [X2] :
( ~ isPrime0(X2)
| ~ aDivisorOf0(X2,X0) ) ) )
| ~ aInteger0(X0) ),
inference(rectify,[],[f139]) ).
fof(f139,plain,
! [X0] :
( ( ( ? [X1] :
( isPrime0(X1)
& aDivisorOf0(X1,X0) )
| smndt0(sz10) = X0
| sz10 = X0 )
& ( ( smndt0(sz10) != X0
& sz10 != X0 )
| ! [X1] :
( ~ isPrime0(X1)
| ~ aDivisorOf0(X1,X0) ) ) )
| ~ aInteger0(X0) ),
inference(flattening,[],[f138]) ).
fof(f138,plain,
! [X0] :
( ( ( ? [X1] :
( isPrime0(X1)
& aDivisorOf0(X1,X0) )
| smndt0(sz10) = X0
| sz10 = X0 )
& ( ( smndt0(sz10) != X0
& sz10 != X0 )
| ! [X1] :
( ~ isPrime0(X1)
| ~ aDivisorOf0(X1,X0) ) ) )
| ~ aInteger0(X0) ),
inference(nnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0] :
( ( ? [X1] :
( isPrime0(X1)
& aDivisorOf0(X1,X0) )
<=> ( smndt0(sz10) != X0
& sz10 != X0 ) )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0] :
( aInteger0(X0)
=> ( ? [X1] :
( isPrime0(X1)
& aDivisorOf0(X1,X0) )
<=> ( smndt0(sz10) != X0
& sz10 != X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mPrimeDivisor) ).
fof(f948,plain,
( spl27_102
| ~ spl27_4
| ~ spl27_36 ),
inference(avatar_split_clause,[],[f552,f517,f368,f945]) ).
fof(f552,plain,
( xp = sdtpldt0(xp,sz00)
| ~ spl27_4
| ~ spl27_36 ),
inference(resolution,[],[f518,f370]) ).
fof(f921,plain,
( spl27_101
| ~ spl27_4
| ~ spl27_35 ),
inference(avatar_split_clause,[],[f548,f513,f368,f918]) ).
fof(f548,plain,
( xp = sdtasdt0(sz10,xp)
| ~ spl27_4
| ~ spl27_35 ),
inference(resolution,[],[f514,f370]) ).
fof(f914,plain,
spl27_100,
inference(avatar_split_clause,[],[f346,f912]) ).
fof(f346,plain,
! [X0,X1] :
( sP11(X1,X0,sdtbsmnsldt0(X0,X1))
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(equality_resolution,[],[f319]) ).
fof(f319,plain,
! [X2,X0,X1] :
( sP11(X1,X0,X2)
| sdtbsmnsldt0(X0,X1) != X2
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[],[f197]) ).
fof(f910,plain,
spl27_99,
inference(avatar_split_clause,[],[f344,f908]) ).
fof(f344,plain,
! [X0,X1] :
( sP10(X1,X0,sdtslmnbsdt0(X0,X1))
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(equality_resolution,[],[f308]) ).
fof(f308,plain,
! [X2,X0,X1] :
( sP10(X1,X0,X2)
| sdtslmnbsdt0(X0,X1) != X2
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[],[f190]) ).
fof(f906,plain,
spl27_98,
inference(avatar_split_clause,[],[f338,f904]) ).
fof(f338,plain,
! [X2,X1] :
( sP0(sdtasdt0(X1,X2),X1)
| ~ aInteger0(X2)
| sz00 = X1
| ~ aInteger0(X1) ),
inference(equality_resolution,[],[f240]) ).
fof(f240,plain,
! [X2,X0,X1] :
( sP0(X0,X1)
| sdtasdt0(X1,X2) != X0
| ~ aInteger0(X2)
| sz00 = X1
| ~ aInteger0(X1) ),
inference(cnf_transformation,[],[f148]) ).
fof(f148,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ! [X2] :
( sdtasdt0(X1,X2) != X0
| ~ aInteger0(X2) )
| sz00 = X1
| ~ aInteger0(X1) )
& ( ( sdtasdt0(X1,sK14(X0,X1)) = X0
& aInteger0(sK14(X0,X1))
& sz00 != X1
& aInteger0(X1) )
| ~ sP0(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f146,f147]) ).
fof(f147,plain,
! [X0,X1] :
( ? [X3] :
( sdtasdt0(X1,X3) = X0
& aInteger0(X3) )
=> ( sdtasdt0(X1,sK14(X0,X1)) = X0
& aInteger0(sK14(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f146,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ! [X2] :
( sdtasdt0(X1,X2) != X0
| ~ aInteger0(X2) )
| sz00 = X1
| ~ aInteger0(X1) )
& ( ( ? [X3] :
( sdtasdt0(X1,X3) = X0
& aInteger0(X3) )
& sz00 != X1
& aInteger0(X1) )
| ~ sP0(X0,X1) ) ),
inference(rectify,[],[f145]) ).
fof(f145,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ! [X2] :
( sdtasdt0(X1,X2) != X0
| ~ aInteger0(X2) )
| sz00 = X1
| ~ aInteger0(X1) )
& ( ( ? [X2] :
( sdtasdt0(X1,X2) = X0
& aInteger0(X2) )
& sz00 != X1
& aInteger0(X1) )
| ~ sP0(X0,X1) ) ),
inference(flattening,[],[f144]) ).
fof(f144,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ! [X2] :
( sdtasdt0(X1,X2) != X0
| ~ aInteger0(X2) )
| sz00 = X1
| ~ aInteger0(X1) )
& ( ( ? [X2] :
( sdtasdt0(X1,X2) = X0
& aInteger0(X2) )
& sz00 != X1
& aInteger0(X1) )
| ~ sP0(X0,X1) ) ),
inference(nnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0,X1] :
( sP0(X0,X1)
<=> ( ? [X2] :
( sdtasdt0(X1,X2) = X0
& aInteger0(X2) )
& sz00 != X1
& aInteger0(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f902,plain,
spl27_97,
inference(avatar_split_clause,[],[f313,f900]) ).
fof(f313,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElementOf0(X4,X0)
| ~ aInteger0(X4)
| ~ sP11(X0,X1,X2) ),
inference(cnf_transformation,[],[f195]) ).
fof(f898,plain,
spl27_96,
inference(avatar_split_clause,[],[f312,f896]) ).
fof(f312,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElementOf0(X4,X1)
| ~ aInteger0(X4)
| ~ sP11(X0,X1,X2) ),
inference(cnf_transformation,[],[f195]) ).
fof(f894,plain,
spl27_95,
inference(avatar_split_clause,[],[f283,f892]) ).
fof(f892,plain,
( spl27_95
<=> ! [X2,X0,X1] :
( szAzrzSzezqlpdtcmdtrp0(X0,X1) = X2
| ~ sP8(X1,X0,X2)
| ~ sP9(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_95])]) ).
fof(f283,plain,
! [X2,X0,X1] :
( szAzrzSzezqlpdtcmdtrp0(X0,X1) = X2
| ~ sP8(X1,X0,X2)
| ~ sP9(X0,X1) ),
inference(cnf_transformation,[],[f178]) ).
fof(f178,plain,
! [X0,X1] :
( ! [X2] :
( ( szAzrzSzezqlpdtcmdtrp0(X0,X1) = X2
| ~ sP8(X1,X0,X2) )
& ( sP8(X1,X0,X2)
| szAzrzSzezqlpdtcmdtrp0(X0,X1) != X2 ) )
| ~ sP9(X0,X1) ),
inference(nnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0,X1] :
( ! [X2] :
( szAzrzSzezqlpdtcmdtrp0(X0,X1) = X2
<=> sP8(X1,X0,X2) )
| ~ sP9(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f890,plain,
spl27_94,
inference(avatar_split_clause,[],[f280,f888]) ).
fof(f280,plain,
! [X0,X1] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),cS1395)
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0,X1] :
( ( isClosed0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),cS1395) )
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f78]) ).
fof(f78,plain,
! [X0,X1] :
( ( isClosed0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),cS1395) )
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X0,X1] :
( ( sz00 != X1
& aInteger0(X1)
& aInteger0(X0) )
=> ( isClosed0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),cS1395) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mArSeqClosed) ).
fof(f886,plain,
( spl27_93
| ~ spl27_4
| ~ spl27_34 ),
inference(avatar_split_clause,[],[f544,f509,f368,f883]) ).
fof(f544,plain,
( xp = sdtasdt0(xp,sz10)
| ~ spl27_4
| ~ spl27_34 ),
inference(resolution,[],[f510,f370]) ).
fof(f881,plain,
spl27_92,
inference(avatar_split_clause,[],[f278,f879]) ).
fof(f879,plain,
( spl27_92
<=> ! [X0] :
( isOpen0(sbsmnsldt0(X0))
| ~ isOpen0(sK23(X0))
| ~ aSubsetOf0(sK23(X0),cS1395)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_92])]) ).
fof(f278,plain,
! [X0] :
( isOpen0(sbsmnsldt0(X0))
| ~ isOpen0(sK23(X0))
| ~ aSubsetOf0(sK23(X0),cS1395)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f177]) ).
fof(f177,plain,
! [X0] :
( isOpen0(sbsmnsldt0(X0))
| ( ( ~ isOpen0(sK23(X0))
| ~ aSubsetOf0(sK23(X0),cS1395) )
& aElementOf0(sK23(X0),X0) )
| ~ aSet0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK23])],[f75,f176]) ).
fof(f176,plain,
! [X0] :
( ? [X1] :
( ( ~ isOpen0(X1)
| ~ aSubsetOf0(X1,cS1395) )
& aElementOf0(X1,X0) )
=> ( ( ~ isOpen0(sK23(X0))
| ~ aSubsetOf0(sK23(X0),cS1395) )
& aElementOf0(sK23(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f75,plain,
! [X0] :
( isOpen0(sbsmnsldt0(X0))
| ? [X1] :
( ( ~ isOpen0(X1)
| ~ aSubsetOf0(X1,cS1395) )
& aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(flattening,[],[f74]) ).
fof(f74,plain,
! [X0] :
( isOpen0(sbsmnsldt0(X0))
| ? [X1] :
( ( ~ isOpen0(X1)
| ~ aSubsetOf0(X1,cS1395) )
& aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] :
( ( ! [X1] :
( aElementOf0(X1,X0)
=> ( isOpen0(X1)
& aSubsetOf0(X1,cS1395) ) )
& aSet0(X0) )
=> isOpen0(sbsmnsldt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mUnionOpen) ).
fof(f877,plain,
spl27_91,
inference(avatar_split_clause,[],[f271,f875]) ).
fof(f271,plain,
! [X0,X1] :
( sP6(X0,X1)
| aInteger0(sK19(X0,X1))
| aElementOf0(sK19(X0,X1),X1) ),
inference(cnf_transformation,[],[f173]) ).
fof(f873,plain,
spl27_90,
inference(avatar_split_clause,[],[f246,f871]) ).
fof(f246,plain,
! [X3,X0] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X3,sK16(X0,X3)),X0)
| ~ aElementOf0(X3,X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f154]) ).
fof(f869,plain,
spl27_89,
inference(avatar_split_clause,[],[f233,f867]) ).
fof(f867,plain,
( spl27_89
<=> ! [X0] :
( isPrime0(sK13(X0))
| smndt0(sz10) = X0
| sz10 = X0
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_89])]) ).
fof(f233,plain,
! [X0] :
( isPrime0(sK13(X0))
| smndt0(sz10) = X0
| sz10 = X0
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f865,plain,
spl27_88,
inference(avatar_split_clause,[],[f218,f863]) ).
fof(f218,plain,
! [X0,X1] :
( aSubsetOf0(X1,X0)
| ~ aElementOf0(sK12(X0,X1),X0)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ( ~ aElementOf0(sK12(X0,X1),X0)
& aElementOf0(sK12(X0,X1),X1) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f135,f136]) ).
fof(f136,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK12(X0,X1),X0)
& aElementOf0(sK12(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f135,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(rectify,[],[f134]) ).
fof(f134,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(flattening,[],[f133]) ).
fof(f133,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubset) ).
fof(f861,plain,
spl27_87,
inference(avatar_split_clause,[],[f217,f859]) ).
fof(f217,plain,
! [X0,X1] :
( aSubsetOf0(X1,X0)
| aElementOf0(sK12(X0,X1),X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f838,plain,
( spl27_86
| ~ spl27_4
| ~ spl27_33 ),
inference(avatar_split_clause,[],[f540,f505,f368,f835]) ).
fof(f540,plain,
( sz00 = sdtasdt0(sz00,xp)
| ~ spl27_4
| ~ spl27_33 ),
inference(resolution,[],[f506,f370]) ).
fof(f827,plain,
spl27_85,
inference(avatar_split_clause,[],[f295,f825]) ).
fof(f295,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f88]) ).
fof(f88,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0,X1] :
( ( aInteger0(X1)
& aInteger0(X0) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).
fof(f823,plain,
spl27_84,
inference(avatar_split_clause,[],[f294,f821]) ).
fof(f294,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f86]) ).
fof(f86,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] :
( ( aInteger0(X1)
& aInteger0(X0) )
=> sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddComm) ).
fof(f819,plain,
spl27_83,
inference(avatar_split_clause,[],[f286,f817]) ).
fof(f286,plain,
! [X2,X0,X1,X4] :
( sdteqdtlpzmzozddtrp0(X4,X1,X0)
| ~ aElementOf0(X4,X2)
| ~ sP8(X0,X1,X2) ),
inference(cnf_transformation,[],[f183]) ).
fof(f815,plain,
( spl27_82
| ~ spl27_4
| ~ spl27_32 ),
inference(avatar_split_clause,[],[f536,f501,f368,f812]) ).
fof(f536,plain,
( sz00 = sdtasdt0(xp,sz00)
| ~ spl27_4
| ~ spl27_32 ),
inference(resolution,[],[f502,f370]) ).
fof(f810,plain,
spl27_81,
inference(avatar_split_clause,[],[f281,f808]) ).
fof(f808,plain,
( spl27_81
<=> ! [X0,X1] :
( isClosed0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_81])]) ).
fof(f281,plain,
! [X0,X1] :
( isClosed0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f806,plain,
spl27_80,
inference(avatar_split_clause,[],[f279,f804]) ).
fof(f804,plain,
( spl27_80
<=> ! [X0,X1] :
( sdteqdtlpzmzozddtrp0(X0,X0,X1)
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_80])]) ).
fof(f279,plain,
! [X0,X1] :
( sdteqdtlpzmzozddtrp0(X0,X0,X1)
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0,X1] :
( sdteqdtlpzmzozddtrp0(X0,X0,X1)
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( sdteqdtlpzmzozddtrp0(X0,X0,X1)
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0,X1] :
( ( sz00 != X1
& aInteger0(X1)
& aInteger0(X0) )
=> sdteqdtlpzmzozddtrp0(X0,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEquModRef) ).
fof(f802,plain,
spl27_79,
inference(avatar_split_clause,[],[f269,f800]) ).
fof(f269,plain,
! [X0,X1,X5] :
( aElementOf0(X5,sK21(X0,X5))
| ~ aElementOf0(X5,X1)
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f173]) ).
fof(f798,plain,
spl27_78,
inference(avatar_split_clause,[],[f268,f796]) ).
fof(f268,plain,
! [X0,X1,X5] :
( aElementOf0(sK21(X0,X5),X0)
| ~ aElementOf0(X5,X1)
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f173]) ).
fof(f794,plain,
spl27_77,
inference(avatar_split_clause,[],[f266,f792]) ).
fof(f792,plain,
( spl27_77
<=> ! [X0,X1] :
( sbsmnsldt0(X0) = X1
| ~ sP6(X0,X1)
| ~ aSet0(X1)
| ~ sP7(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_77])]) ).
fof(f266,plain,
! [X0,X1] :
( sbsmnsldt0(X0) = X1
| ~ sP6(X0,X1)
| ~ aSet0(X1)
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f166]) ).
fof(f166,plain,
! [X0] :
( ! [X1] :
( ( sbsmnsldt0(X0) = X1
| ~ sP6(X0,X1)
| ~ aSet0(X1) )
& ( ( sP6(X0,X1)
& aSet0(X1) )
| sbsmnsldt0(X0) != X1 ) )
| ~ sP7(X0) ),
inference(rectify,[],[f165]) ).
fof(f165,plain,
! [X0] :
( ! [X2] :
( ( sbsmnsldt0(X0) = X2
| ~ sP6(X0,X2)
| ~ aSet0(X2) )
& ( ( sP6(X0,X2)
& aSet0(X2) )
| sbsmnsldt0(X0) != X2 ) )
| ~ sP7(X0) ),
inference(flattening,[],[f164]) ).
fof(f164,plain,
! [X0] :
( ! [X2] :
( ( sbsmnsldt0(X0) = X2
| ~ sP6(X0,X2)
| ~ aSet0(X2) )
& ( ( sP6(X0,X2)
& aSet0(X2) )
| sbsmnsldt0(X0) != X2 ) )
| ~ sP7(X0) ),
inference(nnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0] :
( ! [X2] :
( sbsmnsldt0(X0) = X2
<=> ( sP6(X0,X2)
& aSet0(X2) ) )
| ~ sP7(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f790,plain,
spl27_76,
inference(avatar_split_clause,[],[f262,f788]) ).
fof(f788,plain,
( spl27_76
<=> ! [X0] :
( isClosed0(sbsmnsldt0(X0))
| aElementOf0(sK18(X0),X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_76])]) ).
fof(f262,plain,
! [X0] :
( isClosed0(sbsmnsldt0(X0))
| aElementOf0(sK18(X0),X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f163]) ).
fof(f786,plain,
spl27_75,
inference(avatar_split_clause,[],[f257,f784]) ).
fof(f257,plain,
! [X3,X0,X1] :
( aElementOf0(X3,X1)
| aElementOf0(X3,X0)
| ~ aInteger0(X3)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f161]) ).
fof(f782,plain,
spl27_74,
inference(avatar_split_clause,[],[f216,f780]) ).
fof(f216,plain,
! [X3,X0,X1] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f778,plain,
spl27_73,
inference(avatar_split_clause,[],[f347,f776]) ).
fof(f776,plain,
( spl27_73
<=> ! [X0,X1] :
( aSet0(sdtbsmnsldt0(X0,X1))
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_73])]) ).
fof(f347,plain,
! [X0,X1] :
( aSet0(sdtbsmnsldt0(X0,X1))
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(equality_resolution,[],[f318]) ).
fof(f318,plain,
! [X2,X0,X1] :
( aSet0(X2)
| sdtbsmnsldt0(X0,X1) != X2
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[],[f197]) ).
fof(f774,plain,
spl27_72,
inference(avatar_split_clause,[],[f345,f772]) ).
fof(f772,plain,
( spl27_72
<=> ! [X0,X1] :
( aSet0(sdtslmnbsdt0(X0,X1))
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_72])]) ).
fof(f345,plain,
! [X0,X1] :
( aSet0(sdtslmnbsdt0(X0,X1))
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(equality_resolution,[],[f307]) ).
fof(f307,plain,
! [X2,X0,X1] :
( aSet0(X2)
| sdtslmnbsdt0(X0,X1) != X2
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[],[f190]) ).
fof(f770,plain,
spl27_71,
inference(avatar_split_clause,[],[f301,f768]) ).
fof(f301,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X0)
| ~ aElementOf0(X4,X2)
| ~ sP10(X0,X1,X2) ),
inference(cnf_transformation,[],[f188]) ).
fof(f766,plain,
spl27_70,
inference(avatar_split_clause,[],[f300,f764]) ).
fof(f300,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ sP10(X0,X1,X2) ),
inference(cnf_transformation,[],[f188]) ).
fof(f762,plain,
spl27_69,
inference(avatar_split_clause,[],[f291,f760]) ).
fof(f760,plain,
( spl27_69
<=> ! [X0,X1] :
( sP9(X0,X1)
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_69])]) ).
fof(f291,plain,
! [X0,X1] :
( sP9(X0,X1)
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0,X1] :
( sP9(X0,X1)
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(definition_folding,[],[f81,f127,f126]) ).
fof(f81,plain,
! [X0,X1] :
( ! [X2] :
( szAzrzSzezqlpdtcmdtrp0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sdteqdtlpzmzozddtrp0(X3,X0,X1)
& aInteger0(X3) ) )
& aSet0(X2) ) )
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( ! [X2] :
( szAzrzSzezqlpdtcmdtrp0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sdteqdtlpzmzozddtrp0(X3,X0,X1)
& aInteger0(X3) ) )
& aSet0(X2) ) )
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0,X1] :
( ( sz00 != X1
& aInteger0(X1)
& aInteger0(X0) )
=> ! [X2] :
( szAzrzSzezqlpdtcmdtrp0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sdteqdtlpzmzozddtrp0(X3,X0,X1)
& aInteger0(X3) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mArSeq) ).
fof(f758,plain,
( spl27_68
| ~ spl27_12
| ~ spl27_63 ),
inference(avatar_split_clause,[],[f732,f692,f407,f755]) ).
fof(f732,plain,
( sP1(smndt0(sz10))
| ~ spl27_12
| ~ spl27_63 ),
inference(resolution,[],[f693,f408]) ).
fof(f753,plain,
spl27_67,
inference(avatar_split_clause,[],[f245,f751]) ).
fof(f751,plain,
( spl27_67
<=> ! [X0,X3] :
( sz00 != sK16(X0,X3)
| ~ aElementOf0(X3,X0)
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_67])]) ).
fof(f245,plain,
! [X3,X0] :
( sz00 != sK16(X0,X3)
| ~ aElementOf0(X3,X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f154]) ).
fof(f749,plain,
spl27_66,
inference(avatar_split_clause,[],[f239,f747]) ).
fof(f239,plain,
! [X0,X1] :
( sdtasdt0(X1,sK14(X0,X1)) = X0
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f148]) ).
fof(f731,plain,
( ~ spl27_7
| ~ spl27_16
| spl27_63 ),
inference(avatar_split_clause,[],[f699,f692,f430,f383]) ).
fof(f699,plain,
( ~ aInteger0(sz10)
| ~ spl27_16
| spl27_63 ),
inference(resolution,[],[f694,f431]) ).
fof(f694,plain,
( ~ aInteger0(smndt0(sz10))
| spl27_63 ),
inference(avatar_component_clause,[],[f692]) ).
fof(f703,plain,
spl27_65,
inference(avatar_split_clause,[],[f343,f701]) ).
fof(f343,plain,
! [X0,X1] :
( sP8(X1,X0,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| ~ sP9(X0,X1) ),
inference(equality_resolution,[],[f282]) ).
fof(f282,plain,
! [X2,X0,X1] :
( sP8(X1,X0,X2)
| szAzrzSzezqlpdtcmdtrp0(X0,X1) != X2
| ~ sP9(X0,X1) ),
inference(cnf_transformation,[],[f178]) ).
fof(f698,plain,
( ~ spl27_63
| spl27_64 ),
inference(avatar_split_clause,[],[f336,f696,f692]) ).
fof(f696,plain,
( spl27_64
<=> ! [X2] :
( ~ isPrime0(X2)
| ~ aDivisorOf0(X2,smndt0(sz10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_64])]) ).
fof(f336,plain,
! [X2] :
( ~ isPrime0(X2)
| ~ aDivisorOf0(X2,smndt0(sz10))
| ~ aInteger0(smndt0(sz10)) ),
inference(equality_resolution,[],[f231]) ).
fof(f231,plain,
! [X2,X0] :
( smndt0(sz10) != X0
| ~ isPrime0(X2)
| ~ aDivisorOf0(X2,X0)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f690,plain,
spl27_62,
inference(avatar_split_clause,[],[f310,f688]) ).
fof(f310,plain,
! [X2,X0,X1,X4] :
( aInteger0(X4)
| ~ aElementOf0(X4,X2)
| ~ sP11(X0,X1,X2) ),
inference(cnf_transformation,[],[f195]) ).
fof(f686,plain,
spl27_61,
inference(avatar_split_clause,[],[f299,f684]) ).
fof(f299,plain,
! [X2,X0,X1,X4] :
( aInteger0(X4)
| ~ aElementOf0(X4,X2)
| ~ sP10(X0,X1,X2) ),
inference(cnf_transformation,[],[f188]) ).
fof(f682,plain,
spl27_60,
inference(avatar_split_clause,[],[f285,f680]) ).
fof(f285,plain,
! [X2,X0,X1,X4] :
( aInteger0(X4)
| ~ aElementOf0(X4,X2)
| ~ sP8(X0,X1,X2) ),
inference(cnf_transformation,[],[f183]) ).
fof(f678,plain,
spl27_59,
inference(avatar_split_clause,[],[f277,f676]) ).
fof(f277,plain,
! [X0] :
( isOpen0(sbsmnsldt0(X0))
| aElementOf0(sK23(X0),X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f177]) ).
fof(f674,plain,
spl27_58,
inference(avatar_split_clause,[],[f256,f672]) ).
fof(f256,plain,
! [X3,X0,X1] :
( ~ aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f161]) ).
fof(f670,plain,
spl27_57,
inference(avatar_split_clause,[],[f253,f668]) ).
fof(f668,plain,
( spl27_57
<=> ! [X0,X1] :
( stldt0(X0) = X1
| ~ sP4(X0,X1)
| ~ sP5(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_57])]) ).
fof(f253,plain,
! [X0,X1] :
( stldt0(X0) = X1
| ~ sP4(X0,X1)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f156]) ).
fof(f156,plain,
! [X0] :
( ! [X1] :
( ( stldt0(X0) = X1
| ~ sP4(X0,X1) )
& ( sP4(X0,X1)
| stldt0(X0) != X1 ) )
| ~ sP5(X0) ),
inference(nnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0] :
( ! [X1] :
( stldt0(X0) = X1
<=> sP4(X0,X1) )
| ~ sP5(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f666,plain,
spl27_56,
inference(avatar_split_clause,[],[f244,f664]) ).
fof(f244,plain,
! [X3,X0] :
( aInteger0(sK16(X0,X3))
| ~ aElementOf0(X3,X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f154]) ).
fof(f662,plain,
spl27_55,
inference(avatar_split_clause,[],[f229,f660]) ).
fof(f229,plain,
! [X0] :
( smndt0(X0) = sdtasdt0(X0,smndt0(sz10))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0] :
( ( smndt0(X0) = sdtasdt0(X0,smndt0(sz10))
& smndt0(X0) = sdtasdt0(smndt0(sz10),X0) )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] :
( aInteger0(X0)
=> ( smndt0(X0) = sdtasdt0(X0,smndt0(sz10))
& smndt0(X0) = sdtasdt0(smndt0(sz10),X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulMinOne) ).
fof(f658,plain,
spl27_54,
inference(avatar_split_clause,[],[f228,f656]) ).
fof(f228,plain,
! [X0] :
( smndt0(X0) = sdtasdt0(smndt0(sz10),X0)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f621,plain,
spl27_53,
inference(avatar_split_clause,[],[f293,f619]) ).
fof(f293,plain,
! [X0,X1] :
( aInteger0(sdtpldt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0,X1] :
( aInteger0(sdtpldt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f84]) ).
fof(f84,plain,
! [X0,X1] :
( aInteger0(sdtpldt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( ( aInteger0(X1)
& aInteger0(X0) )
=> aInteger0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntPlus) ).
fof(f617,plain,
spl27_52,
inference(avatar_split_clause,[],[f292,f615]) ).
fof(f292,plain,
! [X0,X1] :
( aInteger0(sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0,X1] :
( aInteger0(sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f82]) ).
fof(f82,plain,
! [X0,X1] :
( aInteger0(sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] :
( ( aInteger0(X1)
& aInteger0(X0) )
=> aInteger0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntMult) ).
fof(f613,plain,
( spl27_51
| ~ spl27_8
| ~ spl27_12 ),
inference(avatar_split_clause,[],[f412,f407,f388,f610]) ).
fof(f610,plain,
( spl27_51
<=> sP1(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_51])]) ).
fof(f412,plain,
( sP1(sz00)
| ~ spl27_8
| ~ spl27_12 ),
inference(resolution,[],[f408,f390]) ).
fof(f608,plain,
spl27_50,
inference(avatar_split_clause,[],[f276,f606]) ).
fof(f606,plain,
( spl27_50
<=> ! [X0] :
( sP7(X0)
| ~ aSubsetOf0(sK22(X0),cS1395)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_50])]) ).
fof(f276,plain,
! [X0] :
( sP7(X0)
| ~ aSubsetOf0(sK22(X0),cS1395)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f175]) ).
fof(f175,plain,
! [X0] :
( sP7(X0)
| ( ~ aSubsetOf0(sK22(X0),cS1395)
& aElementOf0(sK22(X0),X0) )
| ~ aSet0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f125,f174]) ).
fof(f174,plain,
! [X0] :
( ? [X1] :
( ~ aSubsetOf0(X1,cS1395)
& aElementOf0(X1,X0) )
=> ( ~ aSubsetOf0(sK22(X0),cS1395)
& aElementOf0(sK22(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f125,plain,
! [X0] :
( sP7(X0)
| ? [X1] :
( ~ aSubsetOf0(X1,cS1395)
& aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(definition_folding,[],[f73,f124,f123]) ).
fof(f73,plain,
! [X0] :
( ! [X2] :
( sbsmnsldt0(X0) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( ? [X4] :
( aElementOf0(X3,X4)
& aElementOf0(X4,X0) )
& aInteger0(X3) ) )
& aSet0(X2) ) )
| ? [X1] :
( ~ aSubsetOf0(X1,cS1395)
& aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(flattening,[],[f72]) ).
fof(f72,plain,
! [X0] :
( ! [X2] :
( sbsmnsldt0(X0) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( ? [X4] :
( aElementOf0(X3,X4)
& aElementOf0(X4,X0) )
& aInteger0(X3) ) )
& aSet0(X2) ) )
| ? [X1] :
( ~ aSubsetOf0(X1,cS1395)
& aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0] :
( ( ! [X1] :
( aElementOf0(X1,X0)
=> aSubsetOf0(X1,cS1395) )
& aSet0(X0) )
=> ! [X2] :
( sbsmnsldt0(X0) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( ? [X4] :
( aElementOf0(X3,X4)
& aElementOf0(X4,X0) )
& aInteger0(X3) ) )
& aSet0(X2) ) ) ),
inference(rectify,[],[f32]) ).
fof(f32,axiom,
! [X0] :
( ( ! [X1] :
( aElementOf0(X1,X0)
=> aSubsetOf0(X1,cS1395) )
& aSet0(X0) )
=> ! [X1] :
( sbsmnsldt0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ( ? [X3] :
( aElementOf0(X2,X3)
& aElementOf0(X3,X0) )
& aInteger0(X2) ) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mUnionSet) ).
fof(f604,plain,
spl27_49,
inference(avatar_split_clause,[],[f275,f602]) ).
fof(f275,plain,
! [X0] :
( sP7(X0)
| aElementOf0(sK22(X0),X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f175]) ).
fof(f600,plain,
spl27_48,
inference(avatar_split_clause,[],[f267,f598]) ).
fof(f267,plain,
! [X0,X1,X5] :
( aInteger0(X5)
| ~ aElementOf0(X5,X1)
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f173]) ).
fof(f596,plain,
spl27_47,
inference(avatar_split_clause,[],[f255,f594]) ).
fof(f255,plain,
! [X3,X0,X1] :
( aInteger0(X3)
| ~ aElementOf0(X3,X1)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f161]) ).
fof(f592,plain,
spl27_46,
inference(avatar_split_clause,[],[f251,f590]) ).
fof(f590,plain,
( spl27_46
<=> ! [X0] :
( isClosed0(X0)
| ~ isOpen0(stldt0(X0))
| ~ aSubsetOf0(X0,cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_46])]) ).
fof(f251,plain,
! [X0] :
( isClosed0(X0)
| ~ isOpen0(stldt0(X0))
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[],[f155]) ).
fof(f155,plain,
! [X0] :
( ( ( isClosed0(X0)
| ~ isOpen0(stldt0(X0)) )
& ( isOpen0(stldt0(X0))
| ~ isClosed0(X0) ) )
| ~ aSubsetOf0(X0,cS1395) ),
inference(nnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0] :
( ( isClosed0(X0)
<=> isOpen0(stldt0(X0)) )
| ~ aSubsetOf0(X0,cS1395) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0] :
( aSubsetOf0(X0,cS1395)
=> ( isClosed0(X0)
<=> isOpen0(stldt0(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mClosed) ).
fof(f588,plain,
spl27_45,
inference(avatar_split_clause,[],[f250,f586]) ).
fof(f250,plain,
! [X0] :
( isOpen0(stldt0(X0))
| ~ isClosed0(X0)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[],[f155]) ).
fof(f584,plain,
spl27_44,
inference(avatar_split_clause,[],[f235,f582]) ).
fof(f235,plain,
! [X0,X1] :
( aDivisorOf0(X1,X0)
| ~ sP0(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
! [X0] :
( ! [X1] :
( ( aDivisorOf0(X1,X0)
| ~ sP0(X0,X1) )
& ( sP0(X0,X1)
| ~ aDivisorOf0(X1,X0) ) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0] :
( ! [X1] :
( aDivisorOf0(X1,X0)
<=> sP0(X0,X1) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f580,plain,
spl27_43,
inference(avatar_split_clause,[],[f234,f578]) ).
fof(f234,plain,
! [X0,X1] :
( sP0(X0,X1)
| ~ aDivisorOf0(X1,X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f576,plain,
spl27_42,
inference(avatar_split_clause,[],[f227,f574]) ).
fof(f227,plain,
! [X0] :
( sz00 = sdtpldt0(smndt0(X0),X0)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0] :
( ( sz00 = sdtpldt0(smndt0(X0),X0)
& sz00 = sdtpldt0(X0,smndt0(X0)) )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( aInteger0(X0)
=> ( sz00 = sdtpldt0(smndt0(X0),X0)
& sz00 = sdtpldt0(X0,smndt0(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddNeg) ).
fof(f572,plain,
spl27_41,
inference(avatar_split_clause,[],[f226,f570]) ).
fof(f226,plain,
! [X0] :
( sz00 = sdtpldt0(X0,smndt0(X0))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f568,plain,
( spl27_40
| ~ spl27_7
| ~ spl27_12 ),
inference(avatar_split_clause,[],[f411,f407,f383,f565]) ).
fof(f565,plain,
( spl27_40
<=> sP1(sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_40])]) ).
fof(f411,plain,
( sP1(sz10)
| ~ spl27_7
| ~ spl27_12 ),
inference(resolution,[],[f408,f385]) ).
fof(f531,plain,
( ~ spl27_7
| spl27_39 ),
inference(avatar_split_clause,[],[f337,f529,f383]) ).
fof(f529,plain,
( spl27_39
<=> ! [X2] :
( ~ isPrime0(X2)
| ~ aDivisorOf0(X2,sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_39])]) ).
fof(f337,plain,
! [X2] :
( ~ isPrime0(X2)
| ~ aDivisorOf0(X2,sz10)
| ~ aInteger0(sz10) ),
inference(equality_resolution,[],[f230]) ).
fof(f230,plain,
! [X2,X0] :
( sz10 != X0
| ~ isPrime0(X2)
| ~ aDivisorOf0(X2,X0)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f527,plain,
spl27_38,
inference(avatar_split_clause,[],[f238,f525]) ).
fof(f238,plain,
! [X0,X1] :
( aInteger0(sK14(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f148]) ).
fof(f523,plain,
spl27_37,
inference(avatar_split_clause,[],[f225,f521]) ).
fof(f225,plain,
! [X0] :
( sdtpldt0(sz00,X0) = X0
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0] :
( ( sdtpldt0(sz00,X0) = X0
& sdtpldt0(X0,sz00) = X0 )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( aInteger0(X0)
=> ( sdtpldt0(sz00,X0) = X0
& sdtpldt0(X0,sz00) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddZero) ).
fof(f519,plain,
spl27_36,
inference(avatar_split_clause,[],[f224,f517]) ).
fof(f224,plain,
! [X0] :
( sdtpldt0(X0,sz00) = X0
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f515,plain,
spl27_35,
inference(avatar_split_clause,[],[f223,f513]) ).
fof(f223,plain,
! [X0] :
( sdtasdt0(sz10,X0) = X0
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0] :
( ( sdtasdt0(sz10,X0) = X0
& sdtasdt0(X0,sz10) = X0 )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( aInteger0(X0)
=> ( sdtasdt0(sz10,X0) = X0
& sdtasdt0(X0,sz10) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulOne) ).
fof(f511,plain,
spl27_34,
inference(avatar_split_clause,[],[f222,f509]) ).
fof(f222,plain,
! [X0] :
( sdtasdt0(X0,sz10) = X0
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f507,plain,
spl27_33,
inference(avatar_split_clause,[],[f221,f505]) ).
fof(f221,plain,
! [X0] :
( sz00 = sdtasdt0(sz00,X0)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0] :
( ( sz00 = sdtasdt0(sz00,X0)
& sz00 = sdtasdt0(X0,sz00) )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( aInteger0(X0)
=> ( sz00 = sdtasdt0(sz00,X0)
& sz00 = sdtasdt0(X0,sz00) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulZero) ).
fof(f503,plain,
spl27_32,
inference(avatar_split_clause,[],[f220,f501]) ).
fof(f220,plain,
! [X0] :
( sz00 = sdtasdt0(X0,sz00)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f499,plain,
spl27_31,
inference(avatar_split_clause,[],[f215,f497]) ).
fof(f215,plain,
! [X0,X1] :
( aSet0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f493,plain,
( spl27_30
| ~ spl27_4
| ~ spl27_12 ),
inference(avatar_split_clause,[],[f410,f407,f368,f490]) ).
fof(f490,plain,
( spl27_30
<=> sP1(xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_30])]) ).
fof(f410,plain,
( sP1(xp)
| ~ spl27_4
| ~ spl27_12 ),
inference(resolution,[],[f408,f370]) ).
fof(f488,plain,
spl27_29,
inference(avatar_split_clause,[],[f341,f486]) ).
fof(f341,plain,
! [X0] :
( sP6(X0,sbsmnsldt0(X0))
| ~ sP7(X0) ),
inference(equality_resolution,[],[f265]) ).
fof(f265,plain,
! [X0,X1] :
( sP6(X0,X1)
| sbsmnsldt0(X0) != X1
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f166]) ).
fof(f484,plain,
spl27_28,
inference(avatar_split_clause,[],[f340,f482]) ).
fof(f340,plain,
! [X0] :
( sP4(X0,stldt0(X0))
| ~ sP5(X0) ),
inference(equality_resolution,[],[f252]) ).
fof(f252,plain,
! [X0,X1] :
( sP4(X0,X1)
| stldt0(X0) != X1
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f156]) ).
fof(f480,plain,
spl27_27,
inference(avatar_split_clause,[],[f284,f478]) ).
fof(f284,plain,
! [X2,X0,X1] :
( aSet0(X2)
| ~ sP8(X0,X1,X2) ),
inference(cnf_transformation,[],[f183]) ).
fof(f476,plain,
spl27_26,
inference(avatar_split_clause,[],[f247,f474]) ).
fof(f247,plain,
! [X0] :
( sP2(X0)
| aElementOf0(sK15(X0),X0) ),
inference(cnf_transformation,[],[f154]) ).
fof(f472,plain,
spl27_25,
inference(avatar_split_clause,[],[f243,f470]) ).
fof(f470,plain,
( spl27_25
<=> ! [X0] :
( isOpen0(X0)
| ~ sP2(X0)
| ~ sP3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_25])]) ).
fof(f243,plain,
! [X0] :
( isOpen0(X0)
| ~ sP2(X0)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f149]) ).
fof(f149,plain,
! [X0] :
( ( ( isOpen0(X0)
| ~ sP2(X0) )
& ( sP2(X0)
| ~ isOpen0(X0) ) )
| ~ sP3(X0) ),
inference(nnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0] :
( ( isOpen0(X0)
<=> sP2(X0) )
| ~ sP3(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f468,plain,
spl27_24,
inference(avatar_split_clause,[],[f242,f466]) ).
fof(f466,plain,
( spl27_24
<=> ! [X0] :
( sP2(X0)
| ~ isOpen0(X0)
| ~ sP3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_24])]) ).
fof(f242,plain,
! [X0] :
( sP2(X0)
| ~ isOpen0(X0)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f149]) ).
fof(f463,plain,
~ spl27_23,
inference(avatar_split_clause,[],[f210,f460]) ).
fof(f460,plain,
( spl27_23
<=> sz10 = sdtpldt0(sz10,smndt0(xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_23])]) ).
fof(f210,plain,
sz10 != sdtpldt0(sz10,smndt0(xp)),
inference(cnf_transformation,[],[f48]) ).
fof(f48,axiom,
( sz10 != sdtpldt0(sz10,smndt0(xp))
& sz10 != sdtpldt0(sz10,xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2258) ).
fof(f457,plain,
spl27_22,
inference(avatar_split_clause,[],[f342,f455]) ).
fof(f455,plain,
( spl27_22
<=> ! [X0] :
( aSet0(sbsmnsldt0(X0))
| ~ sP7(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_22])]) ).
fof(f342,plain,
! [X0] :
( aSet0(sbsmnsldt0(X0))
| ~ sP7(X0) ),
inference(equality_resolution,[],[f264]) ).
fof(f264,plain,
! [X0,X1] :
( aSet0(X1)
| sbsmnsldt0(X0) != X1
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f166]) ).
fof(f453,plain,
spl27_21,
inference(avatar_split_clause,[],[f261,f451]) ).
fof(f261,plain,
! [X0] :
( sP5(X0)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0] :
( sP5(X0)
| ~ aSubsetOf0(X0,cS1395) ),
inference(definition_folding,[],[f69,f121,f120]) ).
fof(f69,plain,
! [X0] :
( ! [X1] :
( stldt0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ( ~ aElementOf0(X2,X0)
& aInteger0(X2) ) )
& aSet0(X1) ) )
| ~ aSubsetOf0(X0,cS1395) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0] :
( aSubsetOf0(X0,cS1395)
=> ! [X1] :
( stldt0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ( ~ aElementOf0(X2,X0)
& aInteger0(X2) ) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mComplement) ).
fof(f449,plain,
( ~ spl27_20
| ~ spl27_1
| spl27_13 ),
inference(avatar_split_clause,[],[f428,f414,f353,f446]) ).
fof(f446,plain,
( spl27_20
<=> sz10 = smndt0(sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_20])]) ).
fof(f414,plain,
( spl27_13
<=> sz10 = sdtpldt0(sz10,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_13])]) ).
fof(f428,plain,
( sz10 != smndt0(sz10)
| ~ spl27_1
| spl27_13 ),
inference(superposition,[],[f416,f355]) ).
fof(f416,plain,
( sz10 != sdtpldt0(sz10,xp)
| spl27_13 ),
inference(avatar_component_clause,[],[f414]) ).
fof(f444,plain,
spl27_19,
inference(avatar_split_clause,[],[f254,f442]) ).
fof(f254,plain,
! [X0,X1] :
( aSet0(X1)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f161]) ).
fof(f440,plain,
spl27_18,
inference(avatar_split_clause,[],[f249,f438]) ).
fof(f249,plain,
! [X0] :
( sP3(X0)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0] :
( sP3(X0)
| ~ aSubsetOf0(X0,cS1395) ),
inference(definition_folding,[],[f67,f118,f117]) ).
fof(f67,plain,
! [X0] :
( ( isOpen0(X0)
<=> ! [X1] :
( ? [X2] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),X0)
& sz00 != X2
& aInteger0(X2) )
| ~ aElementOf0(X1,X0) ) )
| ~ aSubsetOf0(X0,cS1395) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0] :
( aSubsetOf0(X0,cS1395)
=> ( isOpen0(X0)
<=> ! [X1] :
( aElementOf0(X1,X0)
=> ? [X2] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),X0)
& sz00 != X2
& aInteger0(X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mOpen) ).
fof(f436,plain,
spl27_17,
inference(avatar_split_clause,[],[f236,f434]) ).
fof(f434,plain,
( spl27_17
<=> ! [X0,X1] :
( aInteger0(X1)
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_17])]) ).
fof(f236,plain,
! [X0,X1] :
( aInteger0(X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f148]) ).
fof(f432,plain,
spl27_16,
inference(avatar_split_clause,[],[f219,f430]) ).
fof(f219,plain,
! [X0] :
( aInteger0(smndt0(X0))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0] :
( aInteger0(smndt0(X0))
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( aInteger0(X0)
=> aInteger0(smndt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntNeg) ).
fof(f427,plain,
spl27_15,
inference(avatar_split_clause,[],[f348,f424]) ).
fof(f348,plain,
aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),cS2076),
inference(forward_demodulation,[],[f333,f332]) ).
fof(f332,plain,
cS2076 = stldt0(sbsmnsldt0(cS2043)),
inference(definition_unfolding,[],[f203,f202]) ).
fof(f202,plain,
xS = cS2043,
inference(cnf_transformation,[],[f42]) ).
fof(f42,axiom,
xS = cS2043,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2046) ).
fof(f203,plain,
stldt0(sbsmnsldt0(xS)) = cS2076,
inference(cnf_transformation,[],[f43]) ).
fof(f43,axiom,
stldt0(sbsmnsldt0(xS)) = cS2076,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2079) ).
fof(f333,plain,
aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(cS2043))),
inference(definition_unfolding,[],[f206,f202]) ).
fof(f206,plain,
aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS))),
inference(cnf_transformation,[],[f46]) ).
fof(f46,axiom,
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS)))
& sz00 != xp
& aInteger0(xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2171) ).
fof(f422,plain,
spl27_14,
inference(avatar_split_clause,[],[f332,f419]) ).
fof(f417,plain,
~ spl27_13,
inference(avatar_split_clause,[],[f209,f414]) ).
fof(f209,plain,
sz10 != sdtpldt0(sz10,xp),
inference(cnf_transformation,[],[f48]) ).
fof(f409,plain,
spl27_12,
inference(avatar_split_clause,[],[f241,f407]) ).
fof(f241,plain,
! [X0] :
( sP1(X0)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0] :
( sP1(X0)
| ~ aInteger0(X0) ),
inference(definition_folding,[],[f66,f115,f114]) ).
fof(f66,plain,
! [X0] :
( ! [X1] :
( aDivisorOf0(X1,X0)
<=> ( ? [X2] :
( sdtasdt0(X1,X2) = X0
& aInteger0(X2) )
& sz00 != X1
& aInteger0(X1) ) )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0] :
( aInteger0(X0)
=> ! [X1] :
( aDivisorOf0(X1,X0)
<=> ( ? [X2] :
( sdtasdt0(X1,X2) = X0
& aInteger0(X2) )
& sz00 != X1
& aInteger0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDivisor) ).
fof(f405,plain,
spl27_11,
inference(avatar_split_clause,[],[f339,f403]) ).
fof(f339,plain,
! [X0] : ~ sP0(X0,sz00),
inference(equality_resolution,[],[f237]) ).
fof(f237,plain,
! [X0,X1] :
( sz00 != X1
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f148]) ).
fof(f401,plain,
spl27_10,
inference(avatar_split_clause,[],[f335,f398]) ).
fof(f398,plain,
( spl27_10
<=> isClosed0(sbsmnsldt0(cS2043)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_10])]) ).
fof(f335,plain,
isClosed0(sbsmnsldt0(cS2043)),
inference(definition_unfolding,[],[f207,f202]) ).
fof(f207,plain,
isClosed0(sbsmnsldt0(xS)),
inference(cnf_transformation,[],[f45]) ).
fof(f45,axiom,
( isOpen0(stldt0(sbsmnsldt0(xS)))
& isClosed0(sbsmnsldt0(xS)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2144) ).
fof(f396,plain,
~ spl27_9,
inference(avatar_split_clause,[],[f205,f393]) ).
fof(f205,plain,
sz00 != xp,
inference(cnf_transformation,[],[f46]) ).
fof(f391,plain,
spl27_8,
inference(avatar_split_clause,[],[f214,f388]) ).
fof(f214,plain,
aInteger0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
aInteger0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntZero) ).
fof(f386,plain,
spl27_7,
inference(avatar_split_clause,[],[f213,f383]) ).
fof(f213,plain,
aInteger0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
aInteger0(sz10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntOne) ).
fof(f381,plain,
spl27_6,
inference(avatar_split_clause,[],[f349,f378]) ).
fof(f378,plain,
( spl27_6
<=> isOpen0(cS2076) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_6])]) ).
fof(f349,plain,
isOpen0(cS2076),
inference(forward_demodulation,[],[f334,f332]) ).
fof(f334,plain,
isOpen0(stldt0(sbsmnsldt0(cS2043))),
inference(definition_unfolding,[],[f208,f202]) ).
fof(f208,plain,
isOpen0(stldt0(sbsmnsldt0(xS))),
inference(cnf_transformation,[],[f45]) ).
fof(f376,plain,
spl27_5,
inference(avatar_split_clause,[],[f331,f373]) ).
fof(f373,plain,
( spl27_5
<=> isFinite0(cS2043) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_5])]) ).
fof(f331,plain,
isFinite0(cS2043),
inference(definition_unfolding,[],[f201,f202]) ).
fof(f201,plain,
isFinite0(xS),
inference(cnf_transformation,[],[f44]) ).
fof(f44,axiom,
isFinite0(xS),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2117) ).
fof(f371,plain,
spl27_4,
inference(avatar_split_clause,[],[f204,f368]) ).
fof(f204,plain,
aInteger0(xp),
inference(cnf_transformation,[],[f46]) ).
fof(f366,plain,
spl27_3,
inference(avatar_split_clause,[],[f200,f363]) ).
fof(f200,plain,
smndt0(sz10) = sdtpldt0(sz10,smndt0(xp)),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
( smndt0(sz10) = sdtpldt0(sz10,smndt0(xp))
& smndt0(sz10) = sdtpldt0(sz10,xp) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,negated_conjecture,
~ ( smndt0(sz10) != sdtpldt0(sz10,smndt0(xp))
| smndt0(sz10) != sdtpldt0(sz10,xp) ),
inference(negated_conjecture,[],[f49]) ).
fof(f49,conjecture,
( smndt0(sz10) != sdtpldt0(sz10,smndt0(xp))
| smndt0(sz10) != sdtpldt0(sz10,xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f361,plain,
spl27_2,
inference(avatar_split_clause,[],[f350,f358]) ).
fof(f350,plain,
aElementOf0(smndt0(sz10),szAzrzSzezqlpdtcmdtrp0(sz10,xp)),
inference(forward_demodulation,[],[f212,f200]) ).
fof(f212,plain,
aElementOf0(sdtpldt0(sz10,smndt0(xp)),szAzrzSzezqlpdtcmdtrp0(sz10,xp)),
inference(cnf_transformation,[],[f47]) ).
fof(f47,axiom,
( aElementOf0(sdtpldt0(sz10,smndt0(xp)),szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& aElementOf0(sdtpldt0(sz10,xp),szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2232) ).
fof(f356,plain,
spl27_1,
inference(avatar_split_clause,[],[f199,f353]) ).
fof(f199,plain,
smndt0(sz10) = sdtpldt0(sz10,xp),
inference(cnf_transformation,[],[f57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM454+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n011.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri May 3 14:45:53 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (3075)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (3078)WARNING: value z3 for option sas not known
% 0.13/0.37 % (3079)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (3077)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37 % (3081)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)
% 0.13/0.37 % (3080)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)
% 0.13/0.37 % (3078)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)
% 0.13/0.37 % (3082)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)
% 0.13/0.37 % (3076)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.38 TRYING [1]
% 0.21/0.38 TRYING [2]
% 0.21/0.39 TRYING [1]
% 0.21/0.39 TRYING [2]
% 0.21/0.40 TRYING [3]
% 0.21/0.40 TRYING [3]
% 0.21/0.45 TRYING [4]
% 0.21/0.45 TRYING [4]
% 1.39/0.54 TRYING [5]
% 1.39/0.54 TRYING [5]
% 2.42/0.69 TRYING [6]
% 2.42/0.73 TRYING [6]
% 2.94/0.76 % (3080)First to succeed.
% 3.01/0.78 % (3080)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3075"
% 3.01/0.78 % (3080)Refutation found. Thanks to Tanya!
% 3.01/0.78 % SZS status Theorem for theBenchmark
% 3.01/0.78 % SZS output start Proof for theBenchmark
% See solution above
% 3.01/0.80 % (3080)------------------------------
% 3.01/0.80 % (3080)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 3.01/0.80 % (3080)Termination reason: Refutation
% 3.01/0.80
% 3.01/0.80 % (3080)Memory used [KB]: 10113
% 3.01/0.80 % (3080)Time elapsed: 0.411 s
% 3.01/0.80 % (3080)Instructions burned: 1069 (million)
% 3.01/0.80 % (3075)Success in time 0.423 s
%------------------------------------------------------------------------------