TSTP Solution File: NUM453+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM453+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 : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 14:23:25 EDT 2024
% Result : Theorem 2.00s 0.65s
% Output : Refutation 2.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 582
% Syntax : Number of formulae : 2001 ( 151 unt; 0 def)
% Number of atoms : 7867 (1155 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 10367 (4501 ~;4827 |; 405 &)
% ( 574 <=>; 60 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 536 ( 534 usr; 513 prp; 0-3 aty)
% Number of functors : 30 ( 30 usr; 7 con; 0-3 aty)
% Number of variables : 2406 (2335 !; 71 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9417,plain,
$false,
inference(avatar_sat_refutation,[],[f350,f355,f360,f365,f370,f379,f384,f389,f393,f397,f405,f410,f415,f419,f423,f427,f431,f435,f439,f444,f448,f452,f456,f460,f464,f469,f476,f480,f484,f489,f493,f497,f501,f505,f509,f513,f517,f554,f560,f564,f568,f572,f576,f580,f584,f588,f592,f596,f600,f604,f609,f613,f631,f654,f658,f662,f666,f670,f674,f678,f683,f687,f691,f699,f704,f733,f750,f754,f758,f763,f767,f771,f775,f779,f783,f787,f791,f795,f799,f803,f807,f811,f815,f820,f824,f828,f839,f862,f866,f870,f874,f878,f882,f886,f891,f895,f899,f903,f907,f911,f915,f945,f951,f955,f959,f963,f975,f980,f984,f988,f992,f997,f1002,f1006,f1010,f1014,f1018,f1030,f1034,f1040,f1044,f1048,f1052,f1056,f1063,f1091,f1095,f1099,f1103,f1107,f1111,f1115,f1146,f1150,f1162,f1166,f1174,f1189,f1193,f1200,f1204,f1208,f1228,f1241,f1246,f1251,f1256,f1261,f1266,f1271,f1275,f1322,f1327,f1336,f1341,f1352,f1357,f1362,f1367,f1372,f1377,f1408,f1413,f1418,f1432,f1437,f1443,f1454,f1459,f1465,f1470,f1475,f1479,f1498,f1502,f1506,f1511,f1515,f1519,f1523,f1528,f1533,f1650,f1654,f1681,f1685,f1689,f1694,f1703,f1710,f1714,f1718,f1723,f1729,f1733,f1737,f1741,f1807,f1870,f1874,f1878,f1882,f1886,f1891,f1903,f1907,f1911,f1983,f1987,f1991,f1995,f1999,f2003,f2007,f2011,f2021,f2025,f2029,f2033,f2037,f2089,f2152,f2156,f2161,f2165,f2169,f2173,f2177,f2181,f2224,f2283,f2287,f2291,f2295,f2299,f2303,f2307,f2311,f2315,f2319,f2323,f2327,f2331,f2335,f2339,f2438,f2498,f2502,f2506,f2510,f2514,f2518,f2522,f2526,f2531,f2535,f2539,f2543,f2547,f2551,f2555,f2596,f2822,f2826,f2830,f2858,f2862,f2866,f2870,f2874,f2878,f2882,f2886,f2890,f2894,f2898,f2968,f3080,f3081,f3085,f3089,f3093,f3097,f3101,f3105,f3109,f3113,f3117,f3121,f3355,f3406,f3410,f3438,f3442,f3446,f3450,f3454,f3464,f3468,f3472,f3476,f3480,f3484,f3488,f3519,f3672,f3676,f3680,f3769,f3773,f3777,f3781,f3782,f3851,f3855,f3886,f3913,f3917,f3921,f3941,f3945,f3949,f3950,f3970,f4010,f4014,f4018,f4022,f4138,f4142,f4169,f4173,f4219,f4223,f4245,f4288,f4292,f4332,f4341,f4365,f4369,f4568,f4573,f4599,f4603,f4636,f4670,f4675,f4700,f4764,f4771,f4775,f4781,f4787,f4793,f4800,f4806,f4814,f4920,f4924,f4928,f4933,f4938,f4943,f4948,f4953,f4957,f4961,f4965,f4969,f4973,f4990,f4994,f4998,f5002,f5379,f5440,f5668,f5731,f5755,f6247,f6325,f6341,f6381,f6387,f6392,f6396,f6400,f6404,f6408,f6412,f6539,f6543,f6547,f6551,f6555,f6560,f6564,f6568,f6572,f6576,f6580,f6585,f6590,f6594,f6598,f6603,f6607,f6611,f6615,f6879,f6880,f6923,f6927,f6931,f6935,f6939,f6943,f6947,f6952,f6956,f6960,f6964,f6968,f6973,f6978,f6982,f6986,f6990,f6994,f6998,f7002,f7006,f7010,f7014,f7018,f7022,f7026,f7030,f7034,f7039,f7043,f7047,f7051,f7055,f7059,f7063,f7067,f7071,f7075,f7476,f7657,f7851,f7958,f7983,f7987,f7992,f7996,f8000,f8073,f8111,f8115,f8120,f8124,f8128,f8132,f8136,f8141,f8145,f8149,f8153,f8157,f8161,f8165,f8169,f8173,f8177,f8181,f8185,f8189,f8193,f8197,f8202,f8207,f8211,f8215,f8219,f8223,f9183,f9187,f9192,f9196,f9201,f9230,f9235,f9270,f9274,f9328,f9332,f9336,f9340,f9345,f9374,f9379,f9415,f9416]) ).
fof(f9416,plain,
( spl27_8
| ~ spl27_62
| ~ spl27_155
| ~ spl27_379 ),
inference(avatar_split_clause,[],[f9304,f4979,f1324,f680,f381]) ).
fof(f381,plain,
( spl27_8
<=> sz00 = xp ),
introduced(avatar_definition,[new_symbols(naming,[spl27_8])]) ).
fof(f680,plain,
( spl27_62
<=> xp = sdtpldt0(xp,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_62])]) ).
fof(f1324,plain,
( spl27_155
<=> sz00 = sdtpldt0(xp,smndt0(xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_155])]) ).
fof(f4979,plain,
( spl27_379
<=> sz00 = smndt0(xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_379])]) ).
fof(f9304,plain,
( sz00 = xp
| ~ spl27_62
| ~ spl27_155
| ~ spl27_379 ),
inference(forward_demodulation,[],[f9277,f682]) ).
fof(f682,plain,
( xp = sdtpldt0(xp,sz00)
| ~ spl27_62 ),
inference(avatar_component_clause,[],[f680]) ).
fof(f9277,plain,
( sz00 = sdtpldt0(xp,sz00)
| ~ spl27_155
| ~ spl27_379 ),
inference(superposition,[],[f1326,f4981]) ).
fof(f4981,plain,
( sz00 = smndt0(xp)
| ~ spl27_379 ),
inference(avatar_component_clause,[],[f4979]) ).
fof(f1326,plain,
( sz00 = sdtpldt0(xp,smndt0(xp))
| ~ spl27_155 ),
inference(avatar_component_clause,[],[f1324]) ).
fof(f9415,plain,
( spl27_512
| ~ spl27_4
| ~ spl27_96
| ~ spl27_299 ),
inference(avatar_split_clause,[],[f3433,f3408,f888,f362,f9413]) ).
fof(f9413,plain,
( spl27_512
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz10),xp) = sdtpldt0(sdtasdt0(X0,xp),xp)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_512])]) ).
fof(f362,plain,
( spl27_4
<=> aInteger0(sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_4])]) ).
fof(f888,plain,
( spl27_96
<=> xp = sdtasdt0(sz10,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_96])]) ).
fof(f3408,plain,
( spl27_299
<=> ! [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_299])]) ).
fof(f3433,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz10),xp) = sdtpldt0(sdtasdt0(X0,xp),xp)
| ~ aInteger0(X0) )
| ~ spl27_4
| ~ spl27_96
| ~ spl27_299 ),
inference(forward_demodulation,[],[f3424,f890]) ).
fof(f890,plain,
( xp = sdtasdt0(sz10,xp)
| ~ spl27_96 ),
inference(avatar_component_clause,[],[f888]) ).
fof(f3424,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz10),xp) = sdtpldt0(sdtasdt0(X0,xp),sdtasdt0(sz10,xp))
| ~ aInteger0(X0) )
| ~ spl27_4
| ~ spl27_299 ),
inference(resolution,[],[f3409,f364]) ).
fof(f364,plain,
( aInteger0(sz10)
| ~ spl27_4 ),
inference(avatar_component_clause,[],[f362]) ).
fof(f3409,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sdtasdt0(sdtpldt0(X0,X1),xp) = sdtpldt0(sdtasdt0(X0,xp),sdtasdt0(X1,xp))
| ~ aInteger0(X0) )
| ~ spl27_299 ),
inference(avatar_component_clause,[],[f3408]) ).
fof(f9379,plain,
( spl27_511
| ~ spl27_62
| ~ spl27_155
| ~ spl27_379
| ~ spl27_510 ),
inference(avatar_split_clause,[],[f9375,f9372,f4979,f1324,f680,f9377]) ).
fof(f9377,plain,
( spl27_511
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,xp),xp) = sdtpldt0(sdtasdt0(X0,xp),xp)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_511])]) ).
fof(f9372,plain,
( spl27_510
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz00),xp) = sdtpldt0(sdtasdt0(X0,xp),sz00)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_510])]) ).
fof(f9375,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,xp),xp) = sdtpldt0(sdtasdt0(X0,xp),xp)
| ~ aInteger0(X0) )
| ~ spl27_62
| ~ spl27_155
| ~ spl27_379
| ~ spl27_510 ),
inference(forward_demodulation,[],[f9373,f9304]) ).
fof(f9373,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz00),xp) = sdtpldt0(sdtasdt0(X0,xp),sz00)
| ~ aInteger0(X0) )
| ~ spl27_510 ),
inference(avatar_component_clause,[],[f9372]) ).
fof(f9374,plain,
( spl27_510
| ~ spl27_5
| ~ spl27_54
| ~ spl27_299 ),
inference(avatar_split_clause,[],[f3432,f3408,f628,f367,f9372]) ).
fof(f367,plain,
( spl27_5
<=> aInteger0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_5])]) ).
fof(f628,plain,
( spl27_54
<=> sz00 = sdtasdt0(sz00,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_54])]) ).
fof(f3432,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz00),xp) = sdtpldt0(sdtasdt0(X0,xp),sz00)
| ~ aInteger0(X0) )
| ~ spl27_5
| ~ spl27_54
| ~ spl27_299 ),
inference(forward_demodulation,[],[f3423,f630]) ).
fof(f630,plain,
( sz00 = sdtasdt0(sz00,xp)
| ~ spl27_54 ),
inference(avatar_component_clause,[],[f628]) ).
fof(f3423,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz00),xp) = sdtpldt0(sdtasdt0(X0,xp),sdtasdt0(sz00,xp))
| ~ aInteger0(X0) )
| ~ spl27_5
| ~ spl27_299 ),
inference(resolution,[],[f3409,f369]) ).
fof(f369,plain,
( aInteger0(sz00)
| ~ spl27_5 ),
inference(avatar_component_clause,[],[f367]) ).
fof(f9345,plain,
( spl27_509
| ~ spl27_62
| ~ spl27_155
| ~ spl27_379
| ~ spl27_508 ),
inference(avatar_split_clause,[],[f9341,f9338,f4979,f1324,f680,f9343]) ).
fof(f9343,plain,
( spl27_509
<=> ! [X0] :
( sdtasdt0(X0,xp) = sdtpldt0(sdtasdt0(X0,xp),sdtasdt0(X0,xp))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_509])]) ).
fof(f9338,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(f9341,plain,
( ! [X0] :
( sdtasdt0(X0,xp) = sdtpldt0(sdtasdt0(X0,xp),sdtasdt0(X0,xp))
| ~ aInteger0(X0) )
| ~ spl27_62
| ~ spl27_155
| ~ spl27_379
| ~ spl27_508 ),
inference(forward_demodulation,[],[f9339,f9304]) ).
fof(f9339,plain,
( ! [X0] :
( sdtasdt0(X0,xp) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,xp))
| ~ aInteger0(X0) )
| ~ spl27_508 ),
inference(avatar_component_clause,[],[f9338]) ).
fof(f9340,plain,
( spl27_508
| ~ spl27_5
| ~ spl27_85
| ~ spl27_298 ),
inference(avatar_split_clause,[],[f3420,f3404,f817,f367,f9338]) ).
fof(f817,plain,
( spl27_85
<=> xp = sdtpldt0(sz00,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_85])]) ).
fof(f3404,plain,
( spl27_298
<=> ! [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_298])]) ).
fof(f3420,plain,
( ! [X0] :
( sdtasdt0(X0,xp) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,xp))
| ~ aInteger0(X0) )
| ~ spl27_5
| ~ spl27_85
| ~ spl27_298 ),
inference(forward_demodulation,[],[f3411,f819]) ).
fof(f819,plain,
( xp = sdtpldt0(sz00,xp)
| ~ spl27_85 ),
inference(avatar_component_clause,[],[f817]) ).
fof(f3411,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sz00,xp)) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,xp))
| ~ aInteger0(X0) )
| ~ spl27_5
| ~ spl27_298 ),
inference(resolution,[],[f3405,f369]) ).
fof(f3405,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sdtasdt0(X0,sdtpldt0(X1,xp)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xp))
| ~ aInteger0(X0) )
| ~ spl27_298 ),
inference(avatar_component_clause,[],[f3404]) ).
fof(f9336,plain,
( spl27_507
| ~ spl27_1
| ~ spl27_282 ),
inference(avatar_split_clause,[],[f3045,f2888,f347,f9334]) ).
fof(f9334,plain,
( spl27_507
<=> ! [X0] :
( sdtpldt0(X0,sdtpldt0(xp,sz10)) = sdtpldt0(sdtpldt0(X0,xp),sz10)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_507])]) ).
fof(f347,plain,
( spl27_1
<=> aInteger0(xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1])]) ).
fof(f2888,plain,
( spl27_282
<=> ! [X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,sz10)) = sdtpldt0(sdtpldt0(X0,X1),sz10)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_282])]) ).
fof(f3045,plain,
( ! [X0] :
( sdtpldt0(X0,sdtpldt0(xp,sz10)) = sdtpldt0(sdtpldt0(X0,xp),sz10)
| ~ aInteger0(X0) )
| ~ spl27_1
| ~ spl27_282 ),
inference(resolution,[],[f2889,f349]) ).
fof(f349,plain,
( aInteger0(xp)
| ~ spl27_1 ),
inference(avatar_component_clause,[],[f347]) ).
fof(f2889,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sdtpldt0(X0,sdtpldt0(X1,sz10)) = sdtpldt0(sdtpldt0(X0,X1),sz10)
| ~ aInteger0(X0) )
| ~ spl27_282 ),
inference(avatar_component_clause,[],[f2888]) ).
fof(f9332,plain,
( spl27_506
| ~ spl27_1
| ~ spl27_277 ),
inference(avatar_split_clause,[],[f2932,f2868,f347,f9330]) ).
fof(f9330,plain,
( spl27_506
<=> ! [X0] :
( smndt0(sdtasdt0(X0,xp)) = sdtasdt0(sdtasdt0(X0,xp),smndt0(sz10))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_506])]) ).
fof(f2868,plain,
( spl27_277
<=> ! [X0,X1] :
( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(X0,X1),smndt0(sz10))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_277])]) ).
fof(f2932,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,xp)) = sdtasdt0(sdtasdt0(X0,xp),smndt0(sz10))
| ~ aInteger0(X0) )
| ~ spl27_1
| ~ spl27_277 ),
inference(resolution,[],[f2869,f349]) ).
fof(f2869,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| smndt0(sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(X0,X1),smndt0(sz10))
| ~ aInteger0(X0) )
| ~ spl27_277 ),
inference(avatar_component_clause,[],[f2868]) ).
fof(f9328,plain,
( spl27_505
| ~ spl27_1
| ~ spl27_276 ),
inference(avatar_split_clause,[],[f2923,f2864,f347,f9326]) ).
fof(f9326,plain,
( spl27_505
<=> ! [X0] :
( smndt0(sdtpldt0(X0,xp)) = sdtasdt0(sdtpldt0(X0,xp),smndt0(sz10))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_505])]) ).
fof(f2864,plain,
( spl27_276
<=> ! [X0,X1] :
( smndt0(sdtpldt0(X0,X1)) = sdtasdt0(sdtpldt0(X0,X1),smndt0(sz10))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_276])]) ).
fof(f2923,plain,
( ! [X0] :
( smndt0(sdtpldt0(X0,xp)) = sdtasdt0(sdtpldt0(X0,xp),smndt0(sz10))
| ~ aInteger0(X0) )
| ~ spl27_1
| ~ spl27_276 ),
inference(resolution,[],[f2865,f349]) ).
fof(f2865,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| smndt0(sdtpldt0(X0,X1)) = sdtasdt0(sdtpldt0(X0,X1),smndt0(sz10))
| ~ aInteger0(X0) )
| ~ spl27_276 ),
inference(avatar_component_clause,[],[f2864]) ).
fof(f9274,plain,
( spl27_504
| ~ spl27_1
| ~ spl27_275 ),
inference(avatar_split_clause,[],[f2914,f2860,f347,f9272]) ).
fof(f9272,plain,
( spl27_504
<=> ! [X0] :
( smndt0(sdtasdt0(X0,xp)) = sdtasdt0(smndt0(sz10),sdtasdt0(X0,xp))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_504])]) ).
fof(f2860,plain,
( spl27_275
<=> ! [X0,X1] :
( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(sz10),sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_275])]) ).
fof(f2914,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,xp)) = sdtasdt0(smndt0(sz10),sdtasdt0(X0,xp))
| ~ aInteger0(X0) )
| ~ spl27_1
| ~ spl27_275 ),
inference(resolution,[],[f2861,f349]) ).
fof(f2861,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(sz10),sdtasdt0(X0,X1))
| ~ aInteger0(X0) )
| ~ spl27_275 ),
inference(avatar_component_clause,[],[f2860]) ).
fof(f9270,plain,
( spl27_503
| ~ spl27_1
| ~ spl27_274 ),
inference(avatar_split_clause,[],[f2905,f2856,f347,f9268]) ).
fof(f9268,plain,
( spl27_503
<=> ! [X0] :
( smndt0(sdtpldt0(X0,xp)) = sdtasdt0(smndt0(sz10),sdtpldt0(X0,xp))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_503])]) ).
fof(f2856,plain,
( spl27_274
<=> ! [X0,X1] :
( smndt0(sdtpldt0(X0,X1)) = sdtasdt0(smndt0(sz10),sdtpldt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_274])]) ).
fof(f2905,plain,
( ! [X0] :
( smndt0(sdtpldt0(X0,xp)) = sdtasdt0(smndt0(sz10),sdtpldt0(X0,xp))
| ~ aInteger0(X0) )
| ~ spl27_1
| ~ spl27_274 ),
inference(resolution,[],[f2857,f349]) ).
fof(f2857,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| smndt0(sdtpldt0(X0,X1)) = sdtasdt0(smndt0(sz10),sdtpldt0(X0,X1))
| ~ aInteger0(X0) )
| ~ spl27_274 ),
inference(avatar_component_clause,[],[f2856]) ).
fof(f9235,plain,
( spl27_502
| ~ spl27_379
| ~ spl27_501 ),
inference(avatar_split_clause,[],[f9231,f9228,f4979,f9233]) ).
fof(f9233,plain,
( spl27_502
<=> ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,smndt0(sz10)),xp)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_502])]) ).
fof(f9228,plain,
( spl27_501
<=> ! [X0] :
( sdtasdt0(X0,smndt0(xp)) = sdtasdt0(sdtasdt0(X0,smndt0(sz10)),xp)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_501])]) ).
fof(f9231,plain,
( ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,smndt0(sz10)),xp)
| ~ aInteger0(X0) )
| ~ spl27_379
| ~ spl27_501 ),
inference(forward_demodulation,[],[f9229,f4981]) ).
fof(f9229,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(xp)) = sdtasdt0(sdtasdt0(X0,smndt0(sz10)),xp)
| ~ aInteger0(X0) )
| ~ spl27_501 ),
inference(avatar_component_clause,[],[f9228]) ).
fof(f9230,plain,
( spl27_501
| ~ spl27_65
| ~ spl27_167
| ~ spl27_273 ),
inference(avatar_split_clause,[],[f2854,f2828,f1410,f693,f9228]) ).
fof(f693,plain,
( spl27_65
<=> aInteger0(smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_65])]) ).
fof(f1410,plain,
( spl27_167
<=> smndt0(xp) = sdtasdt0(smndt0(sz10),xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_167])]) ).
fof(f2828,plain,
( spl27_273
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,xp)) = sdtasdt0(sdtasdt0(X0,X1),xp)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_273])]) ).
fof(f2854,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(xp)) = sdtasdt0(sdtasdt0(X0,smndt0(sz10)),xp)
| ~ aInteger0(X0) )
| ~ spl27_65
| ~ spl27_167
| ~ spl27_273 ),
inference(forward_demodulation,[],[f2846,f1412]) ).
fof(f1412,plain,
( smndt0(xp) = sdtasdt0(smndt0(sz10),xp)
| ~ spl27_167 ),
inference(avatar_component_clause,[],[f1410]) ).
fof(f2846,plain,
( ! [X0] :
( sdtasdt0(X0,sdtasdt0(smndt0(sz10),xp)) = sdtasdt0(sdtasdt0(X0,smndt0(sz10)),xp)
| ~ aInteger0(X0) )
| ~ spl27_65
| ~ spl27_273 ),
inference(resolution,[],[f2829,f694]) ).
fof(f694,plain,
( aInteger0(smndt0(sz10))
| ~ spl27_65 ),
inference(avatar_component_clause,[],[f693]) ).
fof(f2829,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sdtasdt0(X0,sdtasdt0(X1,xp)) = sdtasdt0(sdtasdt0(X0,X1),xp)
| ~ aInteger0(X0) )
| ~ spl27_273 ),
inference(avatar_component_clause,[],[f2828]) ).
fof(f9201,plain,
( spl27_500
| ~ spl27_364
| ~ spl27_499 ),
inference(avatar_split_clause,[],[f9197,f9194,f4811,f9199]) ).
fof(f9199,plain,
( spl27_500
<=> ! [X0] :
( sdtasdt0(X0,xp) = sdtasdt0(sdtasdt0(X0,xp),xp)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_500])]) ).
fof(f4811,plain,
( spl27_364
<=> xp = sdtasdt0(xp,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_364])]) ).
fof(f9194,plain,
( spl27_499
<=> ! [X0] :
( sdtasdt0(X0,sdtasdt0(xp,xp)) = sdtasdt0(sdtasdt0(X0,xp),xp)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_499])]) ).
fof(f9197,plain,
( ! [X0] :
( sdtasdt0(X0,xp) = sdtasdt0(sdtasdt0(X0,xp),xp)
| ~ aInteger0(X0) )
| ~ spl27_364
| ~ spl27_499 ),
inference(forward_demodulation,[],[f9195,f4813]) ).
fof(f4813,plain,
( xp = sdtasdt0(xp,xp)
| ~ spl27_364 ),
inference(avatar_component_clause,[],[f4811]) ).
fof(f9195,plain,
( ! [X0] :
( sdtasdt0(X0,sdtasdt0(xp,xp)) = sdtasdt0(sdtasdt0(X0,xp),xp)
| ~ aInteger0(X0) )
| ~ spl27_499 ),
inference(avatar_component_clause,[],[f9194]) ).
fof(f9196,plain,
( spl27_499
| ~ spl27_1
| ~ spl27_273 ),
inference(avatar_split_clause,[],[f2849,f2828,f347,f9194]) ).
fof(f2849,plain,
( ! [X0] :
( sdtasdt0(X0,sdtasdt0(xp,xp)) = sdtasdt0(sdtasdt0(X0,xp),xp)
| ~ aInteger0(X0) )
| ~ spl27_1
| ~ spl27_273 ),
inference(resolution,[],[f2829,f349]) ).
fof(f9192,plain,
( spl27_498
| ~ spl27_1
| ~ spl27_272 ),
inference(avatar_split_clause,[],[f2837,f2824,f347,f9190]) ).
fof(f9190,plain,
( spl27_498
<=> ! [X0] :
( sdtpldt0(X0,sdtpldt0(xp,xp)) = sdtpldt0(sdtpldt0(X0,xp),xp)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_498])]) ).
fof(f2824,plain,
( spl27_272
<=> ! [X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,xp)) = sdtpldt0(sdtpldt0(X0,X1),xp)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_272])]) ).
fof(f2837,plain,
( ! [X0] :
( sdtpldt0(X0,sdtpldt0(xp,xp)) = sdtpldt0(sdtpldt0(X0,xp),xp)
| ~ aInteger0(X0) )
| ~ spl27_1
| ~ spl27_272 ),
inference(resolution,[],[f2825,f349]) ).
fof(f2825,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sdtpldt0(X0,sdtpldt0(X1,xp)) = sdtpldt0(sdtpldt0(X0,X1),xp)
| ~ aInteger0(X0) )
| ~ spl27_272 ),
inference(avatar_component_clause,[],[f2824]) ).
fof(f9187,plain,
( spl27_497
| ~ spl27_4
| ~ spl27_272 ),
inference(avatar_split_clause,[],[f2832,f2824,f362,f9185]) ).
fof(f9185,plain,
( spl27_497
<=> ! [X0] :
( sdtpldt0(X0,sdtpldt0(sz10,xp)) = sdtpldt0(sdtpldt0(X0,sz10),xp)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_497])]) ).
fof(f2832,plain,
( ! [X0] :
( sdtpldt0(X0,sdtpldt0(sz10,xp)) = sdtpldt0(sdtpldt0(X0,sz10),xp)
| ~ aInteger0(X0) )
| ~ spl27_4
| ~ spl27_272 ),
inference(resolution,[],[f2825,f364]) ).
fof(f9183,plain,
( spl27_379
| ~ spl27_160
| ~ spl27_230
| ~ spl27_380
| ~ spl27_449
| ~ spl27_495 ),
inference(avatar_split_clause,[],[f9159,f8217,f7036,f4983,f2158,f1354,f4979]) ).
fof(f1354,plain,
( spl27_160
<=> sz00 = sdtpldt0(sz10,smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_160])]) ).
fof(f2158,plain,
( spl27_230
<=> smndt0(xp) = sdtpldt0(smndt0(xp),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_230])]) ).
fof(f4983,plain,
( spl27_380
<=> aInteger0(smndt0(xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_380])]) ).
fof(f7036,plain,
( spl27_449
<=> sz10 = sdtpldt0(smndt0(xp),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_449])]) ).
fof(f8217,plain,
( spl27_495
<=> ! [X0] :
( sdtpldt0(X0,sz00) = sdtpldt0(sdtpldt0(X0,sz10),smndt0(sz10))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_495])]) ).
fof(f9159,plain,
( sz00 = smndt0(xp)
| ~ spl27_160
| ~ spl27_230
| ~ spl27_380
| ~ spl27_449
| ~ spl27_495 ),
inference(forward_demodulation,[],[f9158,f1356]) ).
fof(f1356,plain,
( sz00 = sdtpldt0(sz10,smndt0(sz10))
| ~ spl27_160 ),
inference(avatar_component_clause,[],[f1354]) ).
fof(f9158,plain,
( smndt0(xp) = sdtpldt0(sz10,smndt0(sz10))
| ~ spl27_230
| ~ spl27_380
| ~ spl27_449
| ~ spl27_495 ),
inference(forward_demodulation,[],[f9157,f2160]) ).
fof(f2160,plain,
( smndt0(xp) = sdtpldt0(smndt0(xp),sz00)
| ~ spl27_230 ),
inference(avatar_component_clause,[],[f2158]) ).
fof(f9157,plain,
( sdtpldt0(sz10,smndt0(sz10)) = sdtpldt0(smndt0(xp),sz00)
| ~ spl27_380
| ~ spl27_449
| ~ spl27_495 ),
inference(forward_demodulation,[],[f9139,f7038]) ).
fof(f7038,plain,
( sz10 = sdtpldt0(smndt0(xp),sz10)
| ~ spl27_449 ),
inference(avatar_component_clause,[],[f7036]) ).
fof(f9139,plain,
( sdtpldt0(smndt0(xp),sz00) = sdtpldt0(sdtpldt0(smndt0(xp),sz10),smndt0(sz10))
| ~ spl27_380
| ~ spl27_495 ),
inference(resolution,[],[f8218,f4984]) ).
fof(f4984,plain,
( aInteger0(smndt0(xp))
| ~ spl27_380 ),
inference(avatar_component_clause,[],[f4983]) ).
fof(f8218,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sz00) = sdtpldt0(sdtpldt0(X0,sz10),smndt0(sz10)) )
| ~ spl27_495 ),
inference(avatar_component_clause,[],[f8217]) ).
fof(f8223,plain,
( spl27_496
| ~ spl27_5
| ~ spl27_164
| ~ spl27_307 ),
inference(avatar_split_clause,[],[f3612,f3470,f1374,f367,f8221]) ).
fof(f8221,plain,
( spl27_496
<=> ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sz00),smndt0(sz10))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_496])]) ).
fof(f1374,plain,
( spl27_164
<=> sz00 = sdtasdt0(sz00,smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_164])]) ).
fof(f3470,plain,
( spl27_307
<=> ! [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_307])]) ).
fof(f3612,plain,
( ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sz00),smndt0(sz10))
| ~ aInteger0(X0) )
| ~ spl27_5
| ~ spl27_164
| ~ spl27_307 ),
inference(forward_demodulation,[],[f3603,f1376]) ).
fof(f1376,plain,
( sz00 = sdtasdt0(sz00,smndt0(sz10))
| ~ spl27_164 ),
inference(avatar_component_clause,[],[f1374]) ).
fof(f3603,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sz00),smndt0(sz10)) = sdtasdt0(X0,sdtasdt0(sz00,smndt0(sz10)))
| ~ aInteger0(X0) )
| ~ spl27_5
| ~ spl27_307 ),
inference(resolution,[],[f3471,f369]) ).
fof(f3471,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sdtasdt0(sdtasdt0(X0,X1),smndt0(sz10)) = sdtasdt0(X0,sdtasdt0(X1,smndt0(sz10)))
| ~ aInteger0(X0) )
| ~ spl27_307 ),
inference(avatar_component_clause,[],[f3470]) ).
fof(f8219,plain,
( spl27_495
| ~ spl27_4
| ~ spl27_160
| ~ spl27_306 ),
inference(avatar_split_clause,[],[f3602,f3466,f1354,f362,f8217]) ).
fof(f3466,plain,
( spl27_306
<=> ! [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_306])]) ).
fof(f3602,plain,
( ! [X0] :
( sdtpldt0(X0,sz00) = sdtpldt0(sdtpldt0(X0,sz10),smndt0(sz10))
| ~ aInteger0(X0) )
| ~ spl27_4
| ~ spl27_160
| ~ spl27_306 ),
inference(forward_demodulation,[],[f3593,f1356]) ).
fof(f3593,plain,
( ! [X0] :
( sdtpldt0(X0,sdtpldt0(sz10,smndt0(sz10))) = sdtpldt0(sdtpldt0(X0,sz10),smndt0(sz10))
| ~ aInteger0(X0) )
| ~ spl27_4
| ~ spl27_306 ),
inference(resolution,[],[f3467,f364]) ).
fof(f3467,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sdtpldt0(X0,sdtpldt0(X1,smndt0(sz10))) = sdtpldt0(sdtpldt0(X0,X1),smndt0(sz10))
| ~ aInteger0(X0) )
| ~ spl27_306 ),
inference(avatar_component_clause,[],[f3466]) ).
fof(f8215,plain,
( spl27_494
| ~ spl27_65
| ~ spl27_163
| ~ spl27_283 ),
inference(avatar_split_clause,[],[f3062,f2892,f1369,f693,f8213]) ).
fof(f8213,plain,
( spl27_494
<=> ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,smndt0(sz10)),sz00)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_494])]) ).
fof(f1369,plain,
( spl27_163
<=> sz00 = sdtasdt0(smndt0(sz10),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_163])]) ).
fof(f2892,plain,
( spl27_283
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sz00) = sdtasdt0(X0,sdtasdt0(X1,sz00))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_283])]) ).
fof(f3062,plain,
( ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,smndt0(sz10)),sz00)
| ~ aInteger0(X0) )
| ~ spl27_65
| ~ spl27_163
| ~ spl27_283 ),
inference(forward_demodulation,[],[f3054,f1371]) ).
fof(f1371,plain,
( sz00 = sdtasdt0(smndt0(sz10),sz00)
| ~ spl27_163 ),
inference(avatar_component_clause,[],[f1369]) ).
fof(f3054,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,smndt0(sz10)),sz00) = sdtasdt0(X0,sdtasdt0(smndt0(sz10),sz00))
| ~ aInteger0(X0) )
| ~ spl27_65
| ~ spl27_283 ),
inference(resolution,[],[f2893,f694]) ).
fof(f2893,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sdtasdt0(sdtasdt0(X0,X1),sz00) = sdtasdt0(X0,sdtasdt0(X1,sz00))
| ~ aInteger0(X0) )
| ~ spl27_283 ),
inference(avatar_component_clause,[],[f2892]) ).
fof(f8211,plain,
( spl27_493
| ~ spl27_65
| ~ spl27_162
| ~ spl27_282 ),
inference(avatar_split_clause,[],[f3049,f2888,f1364,f693,f8209]) ).
fof(f8209,plain,
( spl27_493
<=> ! [X0] :
( sdtpldt0(X0,sz00) = sdtpldt0(sdtpldt0(X0,smndt0(sz10)),sz10)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_493])]) ).
fof(f1364,plain,
( spl27_162
<=> sz00 = sdtpldt0(smndt0(sz10),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_162])]) ).
fof(f3049,plain,
( ! [X0] :
( sdtpldt0(X0,sz00) = sdtpldt0(sdtpldt0(X0,smndt0(sz10)),sz10)
| ~ aInteger0(X0) )
| ~ spl27_65
| ~ spl27_162
| ~ spl27_282 ),
inference(forward_demodulation,[],[f3042,f1366]) ).
fof(f1366,plain,
( sz00 = sdtpldt0(smndt0(sz10),sz10)
| ~ spl27_162 ),
inference(avatar_component_clause,[],[f1364]) ).
fof(f3042,plain,
( ! [X0] :
( sdtpldt0(X0,sdtpldt0(smndt0(sz10),sz10)) = sdtpldt0(sdtpldt0(X0,smndt0(sz10)),sz10)
| ~ aInteger0(X0) )
| ~ spl27_65
| ~ spl27_282 ),
inference(resolution,[],[f2889,f694]) ).
fof(f8207,plain,
( spl27_492
| ~ spl27_4
| ~ spl27_257 ),
inference(avatar_split_clause,[],[f2584,f2508,f362,f8205]) ).
fof(f8205,plain,
( spl27_492
<=> ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(sdtasdt0(sz10,X0)),sdtasdt0(sz10,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_492])]) ).
fof(f2508,plain,
( spl27_257
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = sdtpldt0(smndt0(sdtasdt0(X1,X0)),sdtasdt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_257])]) ).
fof(f2584,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(sdtasdt0(sz10,X0)),sdtasdt0(sz10,X0)) )
| ~ spl27_4
| ~ spl27_257 ),
inference(resolution,[],[f2509,f364]) ).
fof(f2509,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(sdtasdt0(X1,X0)),sdtasdt0(X1,X0)) )
| ~ spl27_257 ),
inference(avatar_component_clause,[],[f2508]) ).
fof(f8202,plain,
( spl27_491
| ~ spl27_202
| ~ spl27_380
| ~ spl27_418 ),
inference(avatar_split_clause,[],[f6881,f6609,f4983,f1804,f8199]) ).
fof(f8199,plain,
( spl27_491
<=> sz00 = sdtasdt0(sdtasdt0(smndt0(xp),xp),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_491])]) ).
fof(f1804,plain,
( spl27_202
<=> sz00 = sdtasdt0(smndt0(xp),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_202])]) ).
fof(f6609,plain,
( spl27_418
<=> ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,xp),sz00)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_418])]) ).
fof(f6881,plain,
( sz00 = sdtasdt0(sdtasdt0(smndt0(xp),xp),sz00)
| ~ spl27_202
| ~ spl27_380
| ~ spl27_418 ),
inference(forward_demodulation,[],[f6843,f1806]) ).
fof(f1806,plain,
( sz00 = sdtasdt0(smndt0(xp),sz00)
| ~ spl27_202 ),
inference(avatar_component_clause,[],[f1804]) ).
fof(f6843,plain,
( sdtasdt0(smndt0(xp),sz00) = sdtasdt0(sdtasdt0(smndt0(xp),xp),sz00)
| ~ spl27_380
| ~ spl27_418 ),
inference(resolution,[],[f6610,f4984]) ).
fof(f6610,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,xp),sz00) )
| ~ spl27_418 ),
inference(avatar_component_clause,[],[f6609]) ).
fof(f8197,plain,
( spl27_490
| ~ spl27_5
| ~ spl27_257 ),
inference(avatar_split_clause,[],[f2583,f2508,f367,f8195]) ).
fof(f8195,plain,
( spl27_490
<=> ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(sdtasdt0(sz00,X0)),sdtasdt0(sz00,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_490])]) ).
fof(f2583,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(sdtasdt0(sz00,X0)),sdtasdt0(sz00,X0)) )
| ~ spl27_5
| ~ spl27_257 ),
inference(resolution,[],[f2509,f369]) ).
fof(f8193,plain,
( spl27_489
| ~ spl27_4
| ~ spl27_256 ),
inference(avatar_split_clause,[],[f2575,f2504,f362,f8191]) ).
fof(f8191,plain,
( spl27_489
<=> ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(sdtasdt0(sz10,X0),smndt0(sdtasdt0(sz10,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_489])]) ).
fof(f2504,plain,
( spl27_256
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = sdtpldt0(sdtasdt0(X1,X0),smndt0(sdtasdt0(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_256])]) ).
fof(f2575,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(sdtasdt0(sz10,X0),smndt0(sdtasdt0(sz10,X0))) )
| ~ spl27_4
| ~ spl27_256 ),
inference(resolution,[],[f2505,f364]) ).
fof(f2505,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sz00 = sdtpldt0(sdtasdt0(X1,X0),smndt0(sdtasdt0(X1,X0))) )
| ~ spl27_256 ),
inference(avatar_component_clause,[],[f2504]) ).
fof(f8189,plain,
( spl27_488
| ~ spl27_5
| ~ spl27_256 ),
inference(avatar_split_clause,[],[f2574,f2504,f367,f8187]) ).
fof(f8187,plain,
( spl27_488
<=> ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(sdtasdt0(sz00,X0),smndt0(sdtasdt0(sz00,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_488])]) ).
fof(f2574,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(sdtasdt0(sz00,X0),smndt0(sdtasdt0(sz00,X0))) )
| ~ spl27_5
| ~ spl27_256 ),
inference(resolution,[],[f2505,f369]) ).
fof(f8185,plain,
( spl27_487
| ~ spl27_4
| ~ spl27_255 ),
inference(avatar_split_clause,[],[f2566,f2500,f362,f8183]) ).
fof(f8183,plain,
( spl27_487
<=> ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(sdtpldt0(sz10,X0)),sdtpldt0(sz10,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_487])]) ).
fof(f2500,plain,
( spl27_255
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = sdtpldt0(smndt0(sdtpldt0(X1,X0)),sdtpldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_255])]) ).
fof(f2566,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(sdtpldt0(sz10,X0)),sdtpldt0(sz10,X0)) )
| ~ spl27_4
| ~ spl27_255 ),
inference(resolution,[],[f2501,f364]) ).
fof(f2501,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(sdtpldt0(X1,X0)),sdtpldt0(X1,X0)) )
| ~ spl27_255 ),
inference(avatar_component_clause,[],[f2500]) ).
fof(f8181,plain,
( spl27_486
| ~ spl27_5
| ~ spl27_255 ),
inference(avatar_split_clause,[],[f2565,f2500,f367,f8179]) ).
fof(f8179,plain,
( spl27_486
<=> ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(sdtpldt0(sz00,X0)),sdtpldt0(sz00,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_486])]) ).
fof(f2565,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(sdtpldt0(sz00,X0)),sdtpldt0(sz00,X0)) )
| ~ spl27_5
| ~ spl27_255 ),
inference(resolution,[],[f2501,f369]) ).
fof(f8177,plain,
( spl27_485
| ~ spl27_4
| ~ spl27_254 ),
inference(avatar_split_clause,[],[f2557,f2496,f362,f8175]) ).
fof(f8175,plain,
( spl27_485
<=> ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(sdtpldt0(sz10,X0),smndt0(sdtpldt0(sz10,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_485])]) ).
fof(f2496,plain,
( spl27_254
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = sdtpldt0(sdtpldt0(X1,X0),smndt0(sdtpldt0(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_254])]) ).
fof(f2557,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(sdtpldt0(sz10,X0),smndt0(sdtpldt0(sz10,X0))) )
| ~ spl27_4
| ~ spl27_254 ),
inference(resolution,[],[f2497,f364]) ).
fof(f2497,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sz00 = sdtpldt0(sdtpldt0(X1,X0),smndt0(sdtpldt0(X1,X0))) )
| ~ spl27_254 ),
inference(avatar_component_clause,[],[f2496]) ).
fof(f8173,plain,
( spl27_484
| ~ spl27_5
| ~ spl27_254 ),
inference(avatar_split_clause,[],[f2556,f2496,f367,f8171]) ).
fof(f8171,plain,
( spl27_484
<=> ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(sdtpldt0(sz00,X0),smndt0(sdtpldt0(sz00,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_484])]) ).
fof(f2556,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(sdtpldt0(sz00,X0),smndt0(sdtpldt0(sz00,X0))) )
| ~ spl27_5
| ~ spl27_254 ),
inference(resolution,[],[f2497,f369]) ).
fof(f8169,plain,
( spl27_483
| ~ spl27_15
| ~ spl27_217 ),
inference(avatar_split_clause,[],[f2067,f1993,f417,f8167]) ).
fof(f8167,plain,
( spl27_483
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sz00,sdtasdt0(smndt0(X1),X0))
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_483])]) ).
fof(f417,plain,
( spl27_15
<=> ! [X0] :
( aInteger0(smndt0(X0))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_15])]) ).
fof(f1993,plain,
( spl27_217
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = sdtasdt0(sz00,sdtasdt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_217])]) ).
fof(f2067,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sz00,sdtasdt0(smndt0(X1),X0))
| ~ aInteger0(X1) )
| ~ spl27_15
| ~ spl27_217 ),
inference(resolution,[],[f1994,f418]) ).
fof(f418,plain,
( ! [X0] :
( aInteger0(smndt0(X0))
| ~ aInteger0(X0) )
| ~ spl27_15 ),
inference(avatar_component_clause,[],[f417]) ).
fof(f1994,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sz00 = sdtasdt0(sz00,sdtasdt0(X1,X0)) )
| ~ spl27_217 ),
inference(avatar_component_clause,[],[f1993]) ).
fof(f8165,plain,
( spl27_482
| ~ spl27_15
| ~ spl27_216 ),
inference(avatar_split_clause,[],[f2058,f1989,f417,f8163]) ).
fof(f8163,plain,
( spl27_482
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sdtasdt0(smndt0(X1),X0),sz00)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_482])]) ).
fof(f1989,plain,
( spl27_216
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = sdtasdt0(sdtasdt0(X1,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_216])]) ).
fof(f2058,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sdtasdt0(smndt0(X1),X0),sz00)
| ~ aInteger0(X1) )
| ~ spl27_15
| ~ spl27_216 ),
inference(resolution,[],[f1990,f418]) ).
fof(f1990,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sz00 = sdtasdt0(sdtasdt0(X1,X0),sz00) )
| ~ spl27_216 ),
inference(avatar_component_clause,[],[f1989]) ).
fof(f8161,plain,
( spl27_481
| ~ spl27_15
| ~ spl27_215 ),
inference(avatar_split_clause,[],[f2049,f1985,f417,f8159]) ).
fof(f8159,plain,
( spl27_481
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(smndt0(X1),X0))
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_481])]) ).
fof(f1985,plain,
( spl27_215
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = sdtasdt0(sz00,sdtpldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_215])]) ).
fof(f2049,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(smndt0(X1),X0))
| ~ aInteger0(X1) )
| ~ spl27_15
| ~ spl27_215 ),
inference(resolution,[],[f1986,f418]) ).
fof(f1986,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(X1,X0)) )
| ~ spl27_215 ),
inference(avatar_component_clause,[],[f1985]) ).
fof(f8157,plain,
( spl27_480
| ~ spl27_15
| ~ spl27_214 ),
inference(avatar_split_clause,[],[f2040,f1981,f417,f8155]) ).
fof(f8155,plain,
( spl27_480
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sdtpldt0(smndt0(X1),X0),sz00)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_480])]) ).
fof(f1981,plain,
( spl27_214
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = sdtasdt0(sdtpldt0(X1,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_214])]) ).
fof(f2040,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sdtpldt0(smndt0(X1),X0),sz00)
| ~ aInteger0(X1) )
| ~ spl27_15
| ~ spl27_214 ),
inference(resolution,[],[f1982,f418]) ).
fof(f1982,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sz00 = sdtasdt0(sdtpldt0(X1,X0),sz00) )
| ~ spl27_214 ),
inference(avatar_component_clause,[],[f1981]) ).
fof(f8153,plain,
( spl27_479
| ~ spl27_23
| ~ spl27_207 ),
inference(avatar_split_clause,[],[f1938,f1884,f450,f8151]) ).
fof(f8151,plain,
( spl27_479
<=> ! [X0,X1] :
( ~ sP9(X0,X1)
| aInteger0(sK15(szAzrzSzezqlpdtcmdtrp0(X0,X1)))
| sP2(szAzrzSzezqlpdtcmdtrp0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_479])]) ).
fof(f450,plain,
( spl27_23
<=> ! [X0] :
( sP2(X0)
| aElementOf0(sK15(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_23])]) ).
fof(f1884,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_23
| ~ spl27_207 ),
inference(resolution,[],[f1885,f451]) ).
fof(f451,plain,
( ! [X0] :
( aElementOf0(sK15(X0),X0)
| sP2(X0) )
| ~ spl27_23 ),
inference(avatar_component_clause,[],[f450]) ).
fof(f1885,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| ~ sP9(X0,X1)
| aInteger0(X2) )
| ~ spl27_207 ),
inference(avatar_component_clause,[],[f1884]) ).
fof(f8149,plain,
( spl27_478
| ~ spl27_15
| ~ spl27_206 ),
inference(avatar_split_clause,[],[f1926,f1880,f417,f8147]) ).
fof(f8147,plain,
( spl27_478
<=> ! [X0] :
( sz00 = sdtpldt0(smndt0(smndt0(smndt0(X0))),smndt0(smndt0(X0)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_478])]) ).
fof(f1880,plain,
( spl27_206
<=> ! [X0] :
( sz00 = sdtpldt0(smndt0(smndt0(X0)),smndt0(X0))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_206])]) ).
fof(f1926,plain,
( ! [X0] :
( sz00 = sdtpldt0(smndt0(smndt0(smndt0(X0))),smndt0(smndt0(X0)))
| ~ aInteger0(X0) )
| ~ spl27_15
| ~ spl27_206 ),
inference(resolution,[],[f1881,f418]) ).
fof(f1881,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(smndt0(X0)),smndt0(X0)) )
| ~ spl27_206 ),
inference(avatar_component_clause,[],[f1880]) ).
fof(f8145,plain,
( spl27_477
| ~ spl27_15
| ~ spl27_205 ),
inference(avatar_split_clause,[],[f1916,f1876,f417,f8143]) ).
fof(f8143,plain,
( spl27_477
<=> ! [X0] :
( sz00 = sdtpldt0(smndt0(smndt0(X0)),smndt0(smndt0(smndt0(X0))))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_477])]) ).
fof(f1876,plain,
( spl27_205
<=> ! [X0] :
( sz00 = sdtpldt0(smndt0(X0),smndt0(smndt0(X0)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_205])]) ).
fof(f1916,plain,
( ! [X0] :
( sz00 = sdtpldt0(smndt0(smndt0(X0)),smndt0(smndt0(smndt0(X0))))
| ~ aInteger0(X0) )
| ~ spl27_15
| ~ spl27_205 ),
inference(resolution,[],[f1877,f418]) ).
fof(f1877,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(X0),smndt0(smndt0(X0))) )
| ~ spl27_205 ),
inference(avatar_component_clause,[],[f1876]) ).
fof(f8141,plain,
( ~ spl27_65
| spl27_389
| ~ spl27_476
| ~ spl27_115
| ~ spl27_197 ),
inference(avatar_split_clause,[],[f1816,f1720,f1004,f8138,f6240,f693]) ).
fof(f6240,plain,
( spl27_389
<=> sz00 = smndt0(sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_389])]) ).
fof(f8138,plain,
( spl27_476
<=> sz00 = smndt0(smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_476])]) ).
fof(f1004,plain,
( spl27_115
<=> ! [X0,X1] :
( sz00 = X1
| sz00 = X0
| sz00 != sdtasdt0(X0,X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_115])]) ).
fof(f1720,plain,
( spl27_197
<=> smndt0(smndt0(sz10)) = sdtasdt0(smndt0(sz10),smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_197])]) ).
fof(f1816,plain,
( sz00 != smndt0(smndt0(sz10))
| sz00 = smndt0(sz10)
| ~ aInteger0(smndt0(sz10))
| ~ spl27_115
| ~ spl27_197 ),
inference(duplicate_literal_removal,[],[f1811]) ).
fof(f1811,plain,
( sz00 != smndt0(smndt0(sz10))
| sz00 = smndt0(sz10)
| sz00 = smndt0(sz10)
| ~ aInteger0(smndt0(sz10))
| ~ aInteger0(smndt0(sz10))
| ~ spl27_115
| ~ spl27_197 ),
inference(superposition,[],[f1005,f1722]) ).
fof(f1722,plain,
( smndt0(smndt0(sz10)) = sdtasdt0(smndt0(sz10),smndt0(sz10))
| ~ spl27_197 ),
inference(avatar_component_clause,[],[f1720]) ).
fof(f1005,plain,
( ! [X0,X1] :
( sz00 != sdtasdt0(X0,X1)
| sz00 = X0
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl27_115 ),
inference(avatar_component_clause,[],[f1004]) ).
fof(f8136,plain,
( spl27_475
| ~ spl27_49
| ~ spl27_182 ),
inference(avatar_split_clause,[],[f1587,f1513,f594,f8134]) ).
fof(f8134,plain,
( spl27_475
<=> ! [X0] :
( aInteger0(sK22(sbsmnsldt0(X0)))
| ~ sP7(X0)
| sP7(sbsmnsldt0(X0))
| ~ aSet0(sbsmnsldt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_475])]) ).
fof(f594,plain,
( spl27_49
<=> ! [X0] :
( sP7(X0)
| aElementOf0(sK22(X0),X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_49])]) ).
fof(f1513,plain,
( spl27_182
<=> ! [X0,X1] :
( ~ aElementOf0(X0,sbsmnsldt0(X1))
| aInteger0(X0)
| ~ sP7(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_182])]) ).
fof(f1587,plain,
( ! [X0] :
( aInteger0(sK22(sbsmnsldt0(X0)))
| ~ sP7(X0)
| sP7(sbsmnsldt0(X0))
| ~ aSet0(sbsmnsldt0(X0)) )
| ~ spl27_49
| ~ spl27_182 ),
inference(resolution,[],[f1514,f595]) ).
fof(f595,plain,
( ! [X0] :
( aElementOf0(sK22(X0),X0)
| sP7(X0)
| ~ aSet0(X0) )
| ~ spl27_49 ),
inference(avatar_component_clause,[],[f594]) ).
fof(f1514,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,sbsmnsldt0(X1))
| aInteger0(X0)
| ~ sP7(X1) )
| ~ spl27_182 ),
inference(avatar_component_clause,[],[f1513]) ).
fof(f8132,plain,
( spl27_474
| ~ spl27_49
| ~ spl27_180 ),
inference(avatar_split_clause,[],[f1561,f1504,f594,f8130]) ).
fof(f8130,plain,
( spl27_474
<=> ! [X0] :
( aInteger0(sK22(stldt0(X0)))
| ~ sP5(X0)
| sP7(stldt0(X0))
| ~ aSet0(stldt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_474])]) ).
fof(f1504,plain,
( spl27_180
<=> ! [X0,X1] :
( ~ aElementOf0(X0,stldt0(X1))
| aInteger0(X0)
| ~ sP5(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_180])]) ).
fof(f1561,plain,
( ! [X0] :
( aInteger0(sK22(stldt0(X0)))
| ~ sP5(X0)
| sP7(stldt0(X0))
| ~ aSet0(stldt0(X0)) )
| ~ spl27_49
| ~ spl27_180 ),
inference(resolution,[],[f1505,f595]) ).
fof(f1505,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,stldt0(X1))
| aInteger0(X0)
| ~ sP5(X1) )
| ~ spl27_180 ),
inference(avatar_component_clause,[],[f1504]) ).
fof(f8128,plain,
( spl27_473
| ~ spl27_53
| ~ spl27_179 ),
inference(avatar_split_clause,[],[f1549,f1500,f611,f8126]) ).
fof(f8126,plain,
( spl27_473
<=> ! [X0,X1] :
( sz00 = sdtasdt0(sz00,smndt0(sdtasdt0(X0,X1)))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_473])]) ).
fof(f611,plain,
( spl27_53
<=> ! [X0,X1] :
( aInteger0(sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_53])]) ).
fof(f1500,plain,
( spl27_179
<=> ! [X0] :
( sz00 = sdtasdt0(sz00,smndt0(X0))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_179])]) ).
fof(f1549,plain,
( ! [X0,X1] :
( sz00 = sdtasdt0(sz00,smndt0(sdtasdt0(X0,X1)))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl27_53
| ~ spl27_179 ),
inference(resolution,[],[f1501,f612]) ).
fof(f612,plain,
( ! [X0,X1] :
( aInteger0(sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl27_53 ),
inference(avatar_component_clause,[],[f611]) ).
fof(f1501,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sz00,smndt0(X0)) )
| ~ spl27_179 ),
inference(avatar_component_clause,[],[f1500]) ).
fof(f8124,plain,
( spl27_472
| ~ spl27_51
| ~ spl27_179 ),
inference(avatar_split_clause,[],[f1548,f1500,f602,f8122]) ).
fof(f8122,plain,
( spl27_472
<=> ! [X0,X1] :
( sz00 = sdtasdt0(sz00,smndt0(sdtpldt0(X0,X1)))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_472])]) ).
fof(f602,plain,
( spl27_51
<=> ! [X0,X1] :
( aInteger0(sdtpldt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_51])]) ).
fof(f1548,plain,
( ! [X0,X1] :
( sz00 = sdtasdt0(sz00,smndt0(sdtpldt0(X0,X1)))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl27_51
| ~ spl27_179 ),
inference(resolution,[],[f1501,f603]) ).
fof(f603,plain,
( ! [X0,X1] :
( aInteger0(sdtpldt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl27_51 ),
inference(avatar_component_clause,[],[f602]) ).
fof(f8120,plain,
( ~ spl27_471
| spl27_354
| ~ spl27_4
| ~ spl27_193
| spl27_378 ),
inference(avatar_split_clause,[],[f6382,f4975,f1701,f362,f4693,f8117]) ).
fof(f8117,plain,
( spl27_471
<=> aDivisorOf0(sz10,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_471])]) ).
fof(f4693,plain,
( spl27_354
<=> sz00 = sz10 ),
introduced(avatar_definition,[new_symbols(naming,[spl27_354])]) ).
fof(f1701,plain,
( spl27_193
<=> ! [X0] :
( ~ aDivisorOf0(X0,sz10)
| ~ aInteger0(X0)
| sz00 = X0
| sdteqdtlpzmzozddtrp0(sz10,xp,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_193])]) ).
fof(f4975,plain,
( spl27_378
<=> sdteqdtlpzmzozddtrp0(sz10,xp,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_378])]) ).
fof(f6382,plain,
( ~ aInteger0(sz10)
| sz00 = sz10
| ~ aDivisorOf0(sz10,sz10)
| ~ spl27_193
| spl27_378 ),
inference(resolution,[],[f4976,f1702]) ).
fof(f1702,plain,
( ! [X0] :
( sdteqdtlpzmzozddtrp0(sz10,xp,X0)
| ~ aInteger0(X0)
| sz00 = X0
| ~ aDivisorOf0(X0,sz10) )
| ~ spl27_193 ),
inference(avatar_component_clause,[],[f1701]) ).
fof(f4976,plain,
( ~ sdteqdtlpzmzozddtrp0(sz10,xp,sz10)
| spl27_378 ),
inference(avatar_component_clause,[],[f4975]) ).
fof(f8115,plain,
( spl27_470
| ~ spl27_53
| ~ spl27_178 ),
inference(avatar_split_clause,[],[f1539,f1496,f611,f8113]) ).
fof(f8113,plain,
( spl27_470
<=> ! [X0,X1] :
( sz00 = sdtasdt0(smndt0(sdtasdt0(X0,X1)),sz00)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_470])]) ).
fof(f1496,plain,
( spl27_178
<=> ! [X0] :
( sz00 = sdtasdt0(smndt0(X0),sz00)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_178])]) ).
fof(f1539,plain,
( ! [X0,X1] :
( sz00 = sdtasdt0(smndt0(sdtasdt0(X0,X1)),sz00)
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl27_53
| ~ spl27_178 ),
inference(resolution,[],[f1497,f612]) ).
fof(f1497,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(smndt0(X0),sz00) )
| ~ spl27_178 ),
inference(avatar_component_clause,[],[f1496]) ).
fof(f8111,plain,
( spl27_469
| ~ spl27_51
| ~ spl27_178 ),
inference(avatar_split_clause,[],[f1538,f1496,f602,f8109]) ).
fof(f8109,plain,
( spl27_469
<=> ! [X0,X1] :
( sz00 = sdtasdt0(smndt0(sdtpldt0(X0,X1)),sz00)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_469])]) ).
fof(f1538,plain,
( ! [X0,X1] :
( sz00 = sdtasdt0(smndt0(sdtpldt0(X0,X1)),sz00)
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl27_51
| ~ spl27_178 ),
inference(resolution,[],[f1497,f603]) ).
fof(f8073,plain,
( ~ spl27_4
| spl27_354
| ~ spl27_65
| spl27_468
| ~ spl27_100
| ~ spl27_174 ),
inference(avatar_split_clause,[],[f1488,f1462,f905,f8070,f693,f4693,f362]) ).
fof(f8070,plain,
( spl27_468
<=> sP0(smndt0(sz10),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_468])]) ).
fof(f905,plain,
( spl27_100
<=> ! [X2,X1] :
( sP0(sdtasdt0(X1,X2),X1)
| ~ aInteger0(X2)
| sz00 = X1
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_100])]) ).
fof(f1462,plain,
( spl27_174
<=> smndt0(sz10) = sdtasdt0(sz10,smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_174])]) ).
fof(f1488,plain,
( sP0(smndt0(sz10),sz10)
| ~ aInteger0(smndt0(sz10))
| sz00 = sz10
| ~ aInteger0(sz10)
| ~ spl27_100
| ~ spl27_174 ),
inference(superposition,[],[f906,f1464]) ).
fof(f1464,plain,
( smndt0(sz10) = sdtasdt0(sz10,smndt0(sz10))
| ~ spl27_174 ),
inference(avatar_component_clause,[],[f1462]) ).
fof(f906,plain,
( ! [X2,X1] :
( sP0(sdtasdt0(X1,X2),X1)
| ~ aInteger0(X2)
| sz00 = X1
| ~ aInteger0(X1) )
| ~ spl27_100 ),
inference(avatar_component_clause,[],[f905]) ).
fof(f8000,plain,
( spl27_467
| ~ spl27_1
| ~ spl27_257 ),
inference(avatar_split_clause,[],[f2589,f2508,f347,f7998]) ).
fof(f7998,plain,
( spl27_467
<=> ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(sdtasdt0(xp,X0)),sdtasdt0(xp,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_467])]) ).
fof(f2589,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(sdtasdt0(xp,X0)),sdtasdt0(xp,X0)) )
| ~ spl27_1
| ~ spl27_257 ),
inference(resolution,[],[f2509,f349]) ).
fof(f7996,plain,
( spl27_466
| ~ spl27_1
| ~ spl27_256 ),
inference(avatar_split_clause,[],[f2580,f2504,f347,f7994]) ).
fof(f7994,plain,
( spl27_466
<=> ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(sdtasdt0(xp,X0),smndt0(sdtasdt0(xp,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_466])]) ).
fof(f2580,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(sdtasdt0(xp,X0),smndt0(sdtasdt0(xp,X0))) )
| ~ spl27_1
| ~ spl27_256 ),
inference(resolution,[],[f2505,f349]) ).
fof(f7992,plain,
( spl27_465
| ~ spl27_366
| ~ spl27_380 ),
inference(avatar_split_clause,[],[f6095,f4983,f4922,f7989]) ).
fof(f7989,plain,
( spl27_465
<=> sz00 = sdtasdt0(sz00,smndt0(smndt0(smndt0(xp)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_465])]) ).
fof(f4922,plain,
( spl27_366
<=> ! [X0] :
( sz00 = sdtasdt0(sz00,smndt0(smndt0(X0)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_366])]) ).
fof(f6095,plain,
( sz00 = sdtasdt0(sz00,smndt0(smndt0(smndt0(xp))))
| ~ spl27_366
| ~ spl27_380 ),
inference(resolution,[],[f4984,f4923]) ).
fof(f4923,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sz00,smndt0(smndt0(X0))) )
| ~ spl27_366 ),
inference(avatar_component_clause,[],[f4922]) ).
fof(f7987,plain,
( spl27_464
| ~ spl27_1
| ~ spl27_255 ),
inference(avatar_split_clause,[],[f2571,f2500,f347,f7985]) ).
fof(f7985,plain,
( spl27_464
<=> ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(sdtpldt0(xp,X0)),sdtpldt0(xp,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_464])]) ).
fof(f2571,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(sdtpldt0(xp,X0)),sdtpldt0(xp,X0)) )
| ~ spl27_1
| ~ spl27_255 ),
inference(resolution,[],[f2501,f349]) ).
fof(f7983,plain,
( spl27_463
| ~ spl27_1
| ~ spl27_254 ),
inference(avatar_split_clause,[],[f2562,f2496,f347,f7981]) ).
fof(f7981,plain,
( spl27_463
<=> ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(sdtpldt0(xp,X0),smndt0(sdtpldt0(xp,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_463])]) ).
fof(f2562,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(sdtpldt0(xp,X0),smndt0(sdtpldt0(xp,X0))) )
| ~ spl27_1
| ~ spl27_254 ),
inference(resolution,[],[f2497,f349]) ).
fof(f7958,plain,
( ~ spl27_1
| spl27_8
| ~ spl27_65
| spl27_462
| ~ spl27_100
| ~ spl27_168 ),
inference(avatar_split_clause,[],[f1427,f1415,f905,f7955,f693,f381,f347]) ).
fof(f7955,plain,
( spl27_462
<=> sP0(smndt0(xp),xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_462])]) ).
fof(f1415,plain,
( spl27_168
<=> smndt0(xp) = sdtasdt0(xp,smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_168])]) ).
fof(f1427,plain,
( sP0(smndt0(xp),xp)
| ~ aInteger0(smndt0(sz10))
| sz00 = xp
| ~ aInteger0(xp)
| ~ spl27_100
| ~ spl27_168 ),
inference(superposition,[],[f906,f1417]) ).
fof(f1417,plain,
( smndt0(xp) = sdtasdt0(xp,smndt0(sz10))
| ~ spl27_168 ),
inference(avatar_component_clause,[],[f1415]) ).
fof(f7851,plain,
( spl27_461
| ~ spl27_365
| ~ spl27_380 ),
inference(avatar_split_clause,[],[f6094,f4983,f4918,f7848]) ).
fof(f7848,plain,
( spl27_461
<=> sz00 = sdtasdt0(smndt0(smndt0(smndt0(xp))),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_461])]) ).
fof(f4918,plain,
( spl27_365
<=> ! [X0] :
( sz00 = sdtasdt0(smndt0(smndt0(X0)),sz00)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_365])]) ).
fof(f6094,plain,
( sz00 = sdtasdt0(smndt0(smndt0(smndt0(xp))),sz00)
| ~ spl27_365
| ~ spl27_380 ),
inference(resolution,[],[f4984,f4919]) ).
fof(f4919,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(smndt0(smndt0(X0)),sz00) )
| ~ spl27_365 ),
inference(avatar_component_clause,[],[f4918]) ).
fof(f7657,plain,
( spl27_460
| ~ spl27_361
| ~ spl27_380 ),
inference(avatar_split_clause,[],[f6093,f4983,f4791,f7654]) ).
fof(f7654,plain,
( spl27_460
<=> sz00 = sdtasdt0(sz00,sdtasdt0(xp,smndt0(xp))) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_460])]) ).
fof(f4791,plain,
( spl27_361
<=> ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sz00,sdtasdt0(xp,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_361])]) ).
fof(f6093,plain,
( sz00 = sdtasdt0(sz00,sdtasdt0(xp,smndt0(xp)))
| ~ spl27_361
| ~ spl27_380 ),
inference(resolution,[],[f4984,f4792]) ).
fof(f4792,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sz00,sdtasdt0(xp,X0)) )
| ~ spl27_361 ),
inference(avatar_component_clause,[],[f4791]) ).
fof(f7476,plain,
( spl27_459
| ~ spl27_360
| ~ spl27_380 ),
inference(avatar_split_clause,[],[f6092,f4983,f4785,f7473]) ).
fof(f7473,plain,
( spl27_459
<=> sz00 = sdtasdt0(sdtasdt0(xp,smndt0(xp)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_459])]) ).
fof(f4785,plain,
( spl27_360
<=> ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sdtasdt0(xp,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_360])]) ).
fof(f6092,plain,
( sz00 = sdtasdt0(sdtasdt0(xp,smndt0(xp)),sz00)
| ~ spl27_360
| ~ spl27_380 ),
inference(resolution,[],[f4984,f4786]) ).
fof(f4786,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sdtasdt0(xp,X0),sz00) )
| ~ spl27_360 ),
inference(avatar_component_clause,[],[f4785]) ).
fof(f7075,plain,
( spl27_458
| ~ spl27_4
| ~ spl27_151
| ~ spl27_284 ),
inference(avatar_split_clause,[],[f3074,f2896,f1268,f362,f7073]) ).
fof(f7073,plain,
( spl27_458
<=> ! [X0] :
( sdtasdt0(X0,sz10) = sdtasdt0(sdtasdt0(X0,sz10),sz10)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_458])]) ).
fof(f1268,plain,
( spl27_151
<=> sz10 = sdtasdt0(sz10,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_151])]) ).
fof(f2896,plain,
( spl27_284
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sz10) = sdtasdt0(X0,sdtasdt0(X1,sz10))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_284])]) ).
fof(f3074,plain,
( ! [X0] :
( sdtasdt0(X0,sz10) = sdtasdt0(sdtasdt0(X0,sz10),sz10)
| ~ aInteger0(X0) )
| ~ spl27_4
| ~ spl27_151
| ~ spl27_284 ),
inference(forward_demodulation,[],[f3065,f1270]) ).
fof(f1270,plain,
( sz10 = sdtasdt0(sz10,sz10)
| ~ spl27_151 ),
inference(avatar_component_clause,[],[f1268]) ).
fof(f3065,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sz10),sz10) = sdtasdt0(X0,sdtasdt0(sz10,sz10))
| ~ aInteger0(X0) )
| ~ spl27_4
| ~ spl27_284 ),
inference(resolution,[],[f2897,f364]) ).
fof(f2897,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sdtasdt0(sdtasdt0(X0,X1),sz10) = sdtasdt0(X0,sdtasdt0(X1,sz10))
| ~ aInteger0(X0) )
| ~ spl27_284 ),
inference(avatar_component_clause,[],[f2896]) ).
fof(f7071,plain,
( spl27_457
| ~ spl27_5
| ~ spl27_147
| ~ spl27_284 ),
inference(avatar_split_clause,[],[f3073,f2896,f1248,f367,f7069]) ).
fof(f7069,plain,
( spl27_457
<=> ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sz00),sz10)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_457])]) ).
fof(f1248,plain,
( spl27_147
<=> sz00 = sdtasdt0(sz00,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_147])]) ).
fof(f3073,plain,
( ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sz00),sz10)
| ~ aInteger0(X0) )
| ~ spl27_5
| ~ spl27_147
| ~ spl27_284 ),
inference(forward_demodulation,[],[f3064,f1250]) ).
fof(f1250,plain,
( sz00 = sdtasdt0(sz00,sz10)
| ~ spl27_147 ),
inference(avatar_component_clause,[],[f1248]) ).
fof(f3064,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sz00),sz10) = sdtasdt0(X0,sdtasdt0(sz00,sz10))
| ~ aInteger0(X0) )
| ~ spl27_5
| ~ spl27_284 ),
inference(resolution,[],[f2897,f369]) ).
fof(f7067,plain,
( spl27_456
| ~ spl27_4
| ~ spl27_146
| ~ spl27_283 ),
inference(avatar_split_clause,[],[f3061,f2892,f1243,f362,f7065]) ).
fof(f7065,plain,
( spl27_456
<=> ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sz10),sz00)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_456])]) ).
fof(f1243,plain,
( spl27_146
<=> sz00 = sdtasdt0(sz10,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_146])]) ).
fof(f3061,plain,
( ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sz10),sz00)
| ~ aInteger0(X0) )
| ~ spl27_4
| ~ spl27_146
| ~ spl27_283 ),
inference(forward_demodulation,[],[f3052,f1245]) ).
fof(f1245,plain,
( sz00 = sdtasdt0(sz10,sz00)
| ~ spl27_146 ),
inference(avatar_component_clause,[],[f1243]) ).
fof(f3052,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sz10),sz00) = sdtasdt0(X0,sdtasdt0(sz10,sz00))
| ~ aInteger0(X0) )
| ~ spl27_4
| ~ spl27_283 ),
inference(resolution,[],[f2893,f364]) ).
fof(f7063,plain,
( spl27_455
| ~ spl27_5
| ~ spl27_145
| ~ spl27_283 ),
inference(avatar_split_clause,[],[f3060,f2892,f1238,f367,f7061]) ).
fof(f7061,plain,
( spl27_455
<=> ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sz00),sz00)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_455])]) ).
fof(f1238,plain,
( spl27_145
<=> sz00 = sdtasdt0(sz00,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_145])]) ).
fof(f3060,plain,
( ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sz00),sz00)
| ~ aInteger0(X0) )
| ~ spl27_5
| ~ spl27_145
| ~ spl27_283 ),
inference(forward_demodulation,[],[f3051,f1240]) ).
fof(f1240,plain,
( sz00 = sdtasdt0(sz00,sz00)
| ~ spl27_145 ),
inference(avatar_component_clause,[],[f1238]) ).
fof(f3051,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sz00),sz00) = sdtasdt0(X0,sdtasdt0(sz00,sz00))
| ~ aInteger0(X0) )
| ~ spl27_5
| ~ spl27_283 ),
inference(resolution,[],[f2893,f369]) ).
fof(f7059,plain,
( spl27_454
| ~ spl27_5
| ~ spl27_150
| ~ spl27_282 ),
inference(avatar_split_clause,[],[f3048,f2888,f1263,f367,f7057]) ).
fof(f7057,plain,
( spl27_454
<=> ! [X0] :
( sdtpldt0(X0,sz10) = sdtpldt0(sdtpldt0(X0,sz00),sz10)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_454])]) ).
fof(f1263,plain,
( spl27_150
<=> sz10 = sdtpldt0(sz00,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_150])]) ).
fof(f3048,plain,
( ! [X0] :
( sdtpldt0(X0,sz10) = sdtpldt0(sdtpldt0(X0,sz00),sz10)
| ~ aInteger0(X0) )
| ~ spl27_5
| ~ spl27_150
| ~ spl27_282 ),
inference(forward_demodulation,[],[f3039,f1265]) ).
fof(f1265,plain,
( sz10 = sdtpldt0(sz00,sz10)
| ~ spl27_150 ),
inference(avatar_component_clause,[],[f1263]) ).
fof(f3039,plain,
( ! [X0] :
( sdtpldt0(X0,sdtpldt0(sz00,sz10)) = sdtpldt0(sdtpldt0(X0,sz00),sz10)
| ~ aInteger0(X0) )
| ~ spl27_5
| ~ spl27_282 ),
inference(resolution,[],[f2889,f369]) ).
fof(f7055,plain,
( spl27_453
| ~ spl27_4
| ~ spl27_149
| ~ spl27_281 ),
inference(avatar_split_clause,[],[f3036,f2884,f1258,f362,f7053]) ).
fof(f7053,plain,
( spl27_453
<=> ! [X0] :
( sdtpldt0(X0,sz10) = sdtpldt0(sdtpldt0(X0,sz10),sz00)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_453])]) ).
fof(f1258,plain,
( spl27_149
<=> sz10 = sdtpldt0(sz10,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_149])]) ).
fof(f2884,plain,
( spl27_281
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(X0,sdtpldt0(X1,sz00))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_281])]) ).
fof(f3036,plain,
( ! [X0] :
( sdtpldt0(X0,sz10) = sdtpldt0(sdtpldt0(X0,sz10),sz00)
| ~ aInteger0(X0) )
| ~ spl27_4
| ~ spl27_149
| ~ spl27_281 ),
inference(forward_demodulation,[],[f3027,f1260]) ).
fof(f1260,plain,
( sz10 = sdtpldt0(sz10,sz00)
| ~ spl27_149 ),
inference(avatar_component_clause,[],[f1258]) ).
fof(f3027,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sz10),sz00) = sdtpldt0(X0,sdtpldt0(sz10,sz00))
| ~ aInteger0(X0) )
| ~ spl27_4
| ~ spl27_281 ),
inference(resolution,[],[f2885,f364]) ).
fof(f2885,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sdtpldt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(X0,sdtpldt0(X1,sz00))
| ~ aInteger0(X0) )
| ~ spl27_281 ),
inference(avatar_component_clause,[],[f2884]) ).
fof(f7051,plain,
( spl27_452
| ~ spl27_5
| ~ spl27_148
| ~ spl27_281 ),
inference(avatar_split_clause,[],[f3035,f2884,f1253,f367,f7049]) ).
fof(f7049,plain,
( spl27_452
<=> ! [X0] :
( sdtpldt0(X0,sz00) = sdtpldt0(sdtpldt0(X0,sz00),sz00)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_452])]) ).
fof(f1253,plain,
( spl27_148
<=> sz00 = sdtpldt0(sz00,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_148])]) ).
fof(f3035,plain,
( ! [X0] :
( sdtpldt0(X0,sz00) = sdtpldt0(sdtpldt0(X0,sz00),sz00)
| ~ aInteger0(X0) )
| ~ spl27_5
| ~ spl27_148
| ~ spl27_281 ),
inference(forward_demodulation,[],[f3026,f1255]) ).
fof(f1255,plain,
( sz00 = sdtpldt0(sz00,sz00)
| ~ spl27_148 ),
inference(avatar_component_clause,[],[f1253]) ).
fof(f3026,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sz00),sz00) = sdtpldt0(X0,sdtpldt0(sz00,sz00))
| ~ aInteger0(X0) )
| ~ spl27_5
| ~ spl27_281 ),
inference(resolution,[],[f2885,f369]) ).
fof(f7047,plain,
( spl27_451
| ~ spl27_4
| ~ spl27_247 ),
inference(avatar_split_clause,[],[f2406,f2317,f362,f7045]) ).
fof(f7045,plain,
( spl27_451
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sz10,X0) = sdtasdt0(sz10,sdtasdt0(sz10,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_451])]) ).
fof(f2317,plain,
( spl27_247
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,X0) = sdtasdt0(sz10,sdtasdt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_247])]) ).
fof(f2406,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sz10,X0) = sdtasdt0(sz10,sdtasdt0(sz10,X0)) )
| ~ spl27_4
| ~ spl27_247 ),
inference(resolution,[],[f2318,f364]) ).
fof(f2318,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(X1,X0) = sdtasdt0(sz10,sdtasdt0(X1,X0)) )
| ~ spl27_247 ),
inference(avatar_component_clause,[],[f2317]) ).
fof(f7043,plain,
( spl27_450
| ~ spl27_5
| ~ spl27_247 ),
inference(avatar_split_clause,[],[f2405,f2317,f367,f7041]) ).
fof(f7041,plain,
( spl27_450
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sz00,X0) = sdtasdt0(sz10,sdtasdt0(sz00,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_450])]) ).
fof(f2405,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sz00,X0) = sdtasdt0(sz10,sdtasdt0(sz00,X0)) )
| ~ spl27_5
| ~ spl27_247 ),
inference(resolution,[],[f2318,f369]) ).
fof(f7039,plain,
( spl27_449
| ~ spl27_7
| ~ spl27_199
| ~ spl27_380 ),
inference(avatar_split_clause,[],[f6882,f4983,f1731,f376,f7036]) ).
fof(f376,plain,
( spl27_7
<=> sz10 = sdtpldt0(sz10,smndt0(xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_7])]) ).
fof(f1731,plain,
( spl27_199
<=> ! [X0] :
( sdtpldt0(X0,sz10) = sdtpldt0(sz10,X0)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_199])]) ).
fof(f6882,plain,
( sz10 = sdtpldt0(smndt0(xp),sz10)
| ~ spl27_7
| ~ spl27_199
| ~ spl27_380 ),
inference(forward_demodulation,[],[f6026,f378]) ).
fof(f378,plain,
( sz10 = sdtpldt0(sz10,smndt0(xp))
| ~ spl27_7 ),
inference(avatar_component_clause,[],[f376]) ).
fof(f6026,plain,
( sdtpldt0(sz10,smndt0(xp)) = sdtpldt0(smndt0(xp),sz10)
| ~ spl27_199
| ~ spl27_380 ),
inference(resolution,[],[f4984,f1732]) ).
fof(f1732,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sz10) = sdtpldt0(sz10,X0) )
| ~ spl27_199 ),
inference(avatar_component_clause,[],[f1731]) ).
fof(f7034,plain,
( spl27_448
| ~ spl27_4
| ~ spl27_246 ),
inference(avatar_split_clause,[],[f2397,f2313,f362,f7032]) ).
fof(f7032,plain,
( spl27_448
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sz10,X0) = sdtasdt0(sdtasdt0(sz10,X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_448])]) ).
fof(f2313,plain,
( spl27_246
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,X0) = sdtasdt0(sdtasdt0(X1,X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_246])]) ).
fof(f2397,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sz10,X0) = sdtasdt0(sdtasdt0(sz10,X0),sz10) )
| ~ spl27_4
| ~ spl27_246 ),
inference(resolution,[],[f2314,f364]) ).
fof(f2314,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(X1,X0) = sdtasdt0(sdtasdt0(X1,X0),sz10) )
| ~ spl27_246 ),
inference(avatar_component_clause,[],[f2313]) ).
fof(f7030,plain,
( spl27_447
| ~ spl27_5
| ~ spl27_246 ),
inference(avatar_split_clause,[],[f2396,f2313,f367,f7028]) ).
fof(f7028,plain,
( spl27_447
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sz00,X0) = sdtasdt0(sdtasdt0(sz00,X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_447])]) ).
fof(f2396,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sz00,X0) = sdtasdt0(sdtasdt0(sz00,X0),sz10) )
| ~ spl27_5
| ~ spl27_246 ),
inference(resolution,[],[f2314,f369]) ).
fof(f7026,plain,
( spl27_446
| ~ spl27_4
| ~ spl27_245 ),
inference(avatar_split_clause,[],[f2388,f2309,f362,f7024]) ).
fof(f7024,plain,
( spl27_446
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sz10,X0) = sdtpldt0(sz00,sdtasdt0(sz10,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_446])]) ).
fof(f2309,plain,
( spl27_245
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,X0) = sdtpldt0(sz00,sdtasdt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_245])]) ).
fof(f2388,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sz10,X0) = sdtpldt0(sz00,sdtasdt0(sz10,X0)) )
| ~ spl27_4
| ~ spl27_245 ),
inference(resolution,[],[f2310,f364]) ).
fof(f2310,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(X1,X0) = sdtpldt0(sz00,sdtasdt0(X1,X0)) )
| ~ spl27_245 ),
inference(avatar_component_clause,[],[f2309]) ).
fof(f7022,plain,
( spl27_445
| ~ spl27_5
| ~ spl27_245 ),
inference(avatar_split_clause,[],[f2387,f2309,f367,f7020]) ).
fof(f7020,plain,
( spl27_445
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sz00,X0) = sdtpldt0(sz00,sdtasdt0(sz00,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_445])]) ).
fof(f2387,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sz00,X0) = sdtpldt0(sz00,sdtasdt0(sz00,X0)) )
| ~ spl27_5
| ~ spl27_245 ),
inference(resolution,[],[f2310,f369]) ).
fof(f7018,plain,
( spl27_444
| ~ spl27_4
| ~ spl27_244 ),
inference(avatar_split_clause,[],[f2379,f2305,f362,f7016]) ).
fof(f7016,plain,
( spl27_444
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sz10,X0) = sdtpldt0(sdtasdt0(sz10,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_444])]) ).
fof(f2305,plain,
( spl27_244
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,X0) = sdtpldt0(sdtasdt0(X1,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_244])]) ).
fof(f2379,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sz10,X0) = sdtpldt0(sdtasdt0(sz10,X0),sz00) )
| ~ spl27_4
| ~ spl27_244 ),
inference(resolution,[],[f2306,f364]) ).
fof(f2306,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(X1,X0) = sdtpldt0(sdtasdt0(X1,X0),sz00) )
| ~ spl27_244 ),
inference(avatar_component_clause,[],[f2305]) ).
fof(f7014,plain,
( spl27_443
| ~ spl27_5
| ~ spl27_244 ),
inference(avatar_split_clause,[],[f2378,f2305,f367,f7012]) ).
fof(f7012,plain,
( spl27_443
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sz00,X0) = sdtpldt0(sdtasdt0(sz00,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_443])]) ).
fof(f2378,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sz00,X0) = sdtpldt0(sdtasdt0(sz00,X0),sz00) )
| ~ spl27_5
| ~ spl27_244 ),
inference(resolution,[],[f2306,f369]) ).
fof(f7010,plain,
( spl27_442
| ~ spl27_4
| ~ spl27_243 ),
inference(avatar_split_clause,[],[f2370,f2301,f362,f7008]) ).
fof(f7008,plain,
( spl27_442
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz10,X0) = sdtasdt0(sz10,sdtpldt0(sz10,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_442])]) ).
fof(f2301,plain,
( spl27_243
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtpldt0(X1,X0) = sdtasdt0(sz10,sdtpldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_243])]) ).
fof(f2370,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz10,X0) = sdtasdt0(sz10,sdtpldt0(sz10,X0)) )
| ~ spl27_4
| ~ spl27_243 ),
inference(resolution,[],[f2302,f364]) ).
fof(f2302,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtpldt0(X1,X0) = sdtasdt0(sz10,sdtpldt0(X1,X0)) )
| ~ spl27_243 ),
inference(avatar_component_clause,[],[f2301]) ).
fof(f7006,plain,
( spl27_441
| ~ spl27_5
| ~ spl27_243 ),
inference(avatar_split_clause,[],[f2369,f2301,f367,f7004]) ).
fof(f7004,plain,
( spl27_441
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz00,X0) = sdtasdt0(sz10,sdtpldt0(sz00,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_441])]) ).
fof(f2369,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz00,X0) = sdtasdt0(sz10,sdtpldt0(sz00,X0)) )
| ~ spl27_5
| ~ spl27_243 ),
inference(resolution,[],[f2302,f369]) ).
fof(f7002,plain,
( spl27_440
| ~ spl27_4
| ~ spl27_242 ),
inference(avatar_split_clause,[],[f2361,f2297,f362,f7000]) ).
fof(f7000,plain,
( spl27_440
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz10,X0) = sdtasdt0(sdtpldt0(sz10,X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_440])]) ).
fof(f2297,plain,
( spl27_242
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtpldt0(X1,X0) = sdtasdt0(sdtpldt0(X1,X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_242])]) ).
fof(f2361,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz10,X0) = sdtasdt0(sdtpldt0(sz10,X0),sz10) )
| ~ spl27_4
| ~ spl27_242 ),
inference(resolution,[],[f2298,f364]) ).
fof(f2298,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtpldt0(X1,X0) = sdtasdt0(sdtpldt0(X1,X0),sz10) )
| ~ spl27_242 ),
inference(avatar_component_clause,[],[f2297]) ).
fof(f6998,plain,
( spl27_439
| ~ spl27_5
| ~ spl27_242 ),
inference(avatar_split_clause,[],[f2360,f2297,f367,f6996]) ).
fof(f6996,plain,
( spl27_439
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz00,X0) = sdtasdt0(sdtpldt0(sz00,X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_439])]) ).
fof(f2360,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz00,X0) = sdtasdt0(sdtpldt0(sz00,X0),sz10) )
| ~ spl27_5
| ~ spl27_242 ),
inference(resolution,[],[f2298,f369]) ).
fof(f6994,plain,
( spl27_438
| ~ spl27_4
| ~ spl27_241 ),
inference(avatar_split_clause,[],[f2352,f2293,f362,f6992]) ).
fof(f6992,plain,
( spl27_438
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz10,X0) = sdtpldt0(sz00,sdtpldt0(sz10,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_438])]) ).
fof(f2293,plain,
( spl27_241
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtpldt0(X1,X0) = sdtpldt0(sz00,sdtpldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_241])]) ).
fof(f2352,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz10,X0) = sdtpldt0(sz00,sdtpldt0(sz10,X0)) )
| ~ spl27_4
| ~ spl27_241 ),
inference(resolution,[],[f2294,f364]) ).
fof(f2294,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtpldt0(X1,X0) = sdtpldt0(sz00,sdtpldt0(X1,X0)) )
| ~ spl27_241 ),
inference(avatar_component_clause,[],[f2293]) ).
fof(f6990,plain,
( spl27_437
| ~ spl27_5
| ~ spl27_241 ),
inference(avatar_split_clause,[],[f2351,f2293,f367,f6988]) ).
fof(f6988,plain,
( spl27_437
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz00,X0) = sdtpldt0(sz00,sdtpldt0(sz00,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_437])]) ).
fof(f2351,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz00,X0) = sdtpldt0(sz00,sdtpldt0(sz00,X0)) )
| ~ spl27_5
| ~ spl27_241 ),
inference(resolution,[],[f2294,f369]) ).
fof(f6986,plain,
( spl27_436
| ~ spl27_4
| ~ spl27_240 ),
inference(avatar_split_clause,[],[f2343,f2289,f362,f6984]) ).
fof(f6984,plain,
( spl27_436
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz10,X0) = sdtpldt0(sdtpldt0(sz10,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_436])]) ).
fof(f2289,plain,
( spl27_240
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtpldt0(X1,X0) = sdtpldt0(sdtpldt0(X1,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_240])]) ).
fof(f2343,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz10,X0) = sdtpldt0(sdtpldt0(sz10,X0),sz00) )
| ~ spl27_4
| ~ spl27_240 ),
inference(resolution,[],[f2290,f364]) ).
fof(f2290,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtpldt0(X1,X0) = sdtpldt0(sdtpldt0(X1,X0),sz00) )
| ~ spl27_240 ),
inference(avatar_component_clause,[],[f2289]) ).
fof(f6982,plain,
( spl27_435
| ~ spl27_5
| ~ spl27_240 ),
inference(avatar_split_clause,[],[f2342,f2289,f367,f6980]) ).
fof(f6980,plain,
( spl27_435
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz00,X0) = sdtpldt0(sdtpldt0(sz00,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_435])]) ).
fof(f2342,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz00,X0) = sdtpldt0(sdtpldt0(sz00,X0),sz00) )
| ~ spl27_5
| ~ spl27_240 ),
inference(resolution,[],[f2290,f369]) ).
fof(f6978,plain,
( spl27_434
| ~ spl27_65
| ~ spl27_219 ),
inference(avatar_split_clause,[],[f2094,f2001,f693,f6975]) ).
fof(f6975,plain,
( spl27_434
<=> smndt0(smndt0(smndt0(sz10))) = sdtasdt0(smndt0(smndt0(sz10)),smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_434])]) ).
fof(f2001,plain,
( spl27_219
<=> ! [X0] :
( smndt0(smndt0(X0)) = sdtasdt0(smndt0(X0),smndt0(sz10))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_219])]) ).
fof(f2094,plain,
( smndt0(smndt0(smndt0(sz10))) = sdtasdt0(smndt0(smndt0(sz10)),smndt0(sz10))
| ~ spl27_65
| ~ spl27_219 ),
inference(resolution,[],[f2002,f694]) ).
fof(f2002,plain,
( ! [X0] :
( ~ aInteger0(X0)
| smndt0(smndt0(X0)) = sdtasdt0(smndt0(X0),smndt0(sz10)) )
| ~ spl27_219 ),
inference(avatar_component_clause,[],[f2001]) ).
fof(f6973,plain,
( spl27_433
| ~ spl27_65
| ~ spl27_218 ),
inference(avatar_split_clause,[],[f2077,f1997,f693,f6970]) ).
fof(f6970,plain,
( spl27_433
<=> smndt0(smndt0(smndt0(sz10))) = sdtasdt0(smndt0(sz10),smndt0(smndt0(sz10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_433])]) ).
fof(f1997,plain,
( spl27_218
<=> ! [X0] :
( smndt0(smndt0(X0)) = sdtasdt0(smndt0(sz10),smndt0(X0))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_218])]) ).
fof(f2077,plain,
( smndt0(smndt0(smndt0(sz10))) = sdtasdt0(smndt0(sz10),smndt0(smndt0(sz10)))
| ~ spl27_65
| ~ spl27_218 ),
inference(resolution,[],[f1998,f694]) ).
fof(f1998,plain,
( ! [X0] :
( ~ aInteger0(X0)
| smndt0(smndt0(X0)) = sdtasdt0(smndt0(sz10),smndt0(X0)) )
| ~ spl27_218 ),
inference(avatar_component_clause,[],[f1997]) ).
fof(f6968,plain,
( spl27_432
| ~ spl27_15
| ~ spl27_201 ),
inference(avatar_split_clause,[],[f1857,f1739,f417,f6966]) ).
fof(f6966,plain,
( spl27_432
<=> ! [X0] :
( sdtasdt0(smndt0(X0),sz10) = sdtasdt0(sz10,smndt0(X0))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_432])]) ).
fof(f1739,plain,
( spl27_201
<=> ! [X0] :
( sdtasdt0(X0,sz10) = sdtasdt0(sz10,X0)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_201])]) ).
fof(f1857,plain,
( ! [X0] :
( sdtasdt0(smndt0(X0),sz10) = sdtasdt0(sz10,smndt0(X0))
| ~ aInteger0(X0) )
| ~ spl27_15
| ~ spl27_201 ),
inference(resolution,[],[f1740,f418]) ).
fof(f1740,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,sz10) = sdtasdt0(sz10,X0) )
| ~ spl27_201 ),
inference(avatar_component_clause,[],[f1739]) ).
fof(f6964,plain,
( spl27_431
| ~ spl27_15
| ~ spl27_200 ),
inference(avatar_split_clause,[],[f1845,f1735,f417,f6962]) ).
fof(f6962,plain,
( spl27_431
<=> ! [X0] :
( sdtasdt0(smndt0(X0),sz00) = sdtasdt0(sz00,smndt0(X0))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_431])]) ).
fof(f1735,plain,
( spl27_200
<=> ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sz00,X0)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_200])]) ).
fof(f1845,plain,
( ! [X0] :
( sdtasdt0(smndt0(X0),sz00) = sdtasdt0(sz00,smndt0(X0))
| ~ aInteger0(X0) )
| ~ spl27_15
| ~ spl27_200 ),
inference(resolution,[],[f1736,f418]) ).
fof(f1736,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,sz00) = sdtasdt0(sz00,X0) )
| ~ spl27_200 ),
inference(avatar_component_clause,[],[f1735]) ).
fof(f6960,plain,
( spl27_430
| ~ spl27_15
| ~ spl27_199 ),
inference(avatar_split_clause,[],[f1834,f1731,f417,f6958]) ).
fof(f6958,plain,
( spl27_430
<=> ! [X0] :
( sdtpldt0(smndt0(X0),sz10) = sdtpldt0(sz10,smndt0(X0))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_430])]) ).
fof(f1834,plain,
( ! [X0] :
( sdtpldt0(smndt0(X0),sz10) = sdtpldt0(sz10,smndt0(X0))
| ~ aInteger0(X0) )
| ~ spl27_15
| ~ spl27_199 ),
inference(resolution,[],[f1732,f418]) ).
fof(f6956,plain,
( spl27_429
| ~ spl27_15
| ~ spl27_198 ),
inference(avatar_split_clause,[],[f1822,f1727,f417,f6954]) ).
fof(f6954,plain,
( spl27_429
<=> ! [X0] :
( sdtpldt0(smndt0(X0),sz00) = sdtpldt0(sz00,smndt0(X0))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_429])]) ).
fof(f1727,plain,
( spl27_198
<=> ! [X0] :
( sdtpldt0(X0,sz00) = sdtpldt0(sz00,X0)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_198])]) ).
fof(f1822,plain,
( ! [X0] :
( sdtpldt0(smndt0(X0),sz00) = sdtpldt0(sz00,smndt0(X0))
| ~ aInteger0(X0) )
| ~ spl27_15
| ~ spl27_198 ),
inference(resolution,[],[f1728,f418]) ).
fof(f1728,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sz00) = sdtpldt0(sz00,X0) )
| ~ spl27_198 ),
inference(avatar_component_clause,[],[f1727]) ).
fof(f6952,plain,
( spl27_428
| ~ spl27_11
| ~ spl27_380 ),
inference(avatar_split_clause,[],[f6000,f4983,f395,f6949]) ).
fof(f6949,plain,
( spl27_428
<=> sP1(smndt0(xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_428])]) ).
fof(f395,plain,
( spl27_11
<=> ! [X0] :
( sP1(X0)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_11])]) ).
fof(f6000,plain,
( sP1(smndt0(xp))
| ~ spl27_11
| ~ spl27_380 ),
inference(resolution,[],[f4984,f396]) ).
fof(f396,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sP1(X0) )
| ~ spl27_11 ),
inference(avatar_component_clause,[],[f395]) ).
fof(f6947,plain,
( spl27_427
| ~ spl27_15
| ~ spl27_194 ),
inference(avatar_split_clause,[],[f1774,f1708,f417,f6945]) ).
fof(f6945,plain,
( spl27_427
<=> ! [X0] :
( smndt0(smndt0(X0)) = sdtasdt0(sz10,smndt0(smndt0(X0)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_427])]) ).
fof(f1708,plain,
( spl27_194
<=> ! [X0] :
( smndt0(X0) = sdtasdt0(sz10,smndt0(X0))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_194])]) ).
fof(f1774,plain,
( ! [X0] :
( smndt0(smndt0(X0)) = sdtasdt0(sz10,smndt0(smndt0(X0)))
| ~ aInteger0(X0) )
| ~ spl27_15
| ~ spl27_194 ),
inference(resolution,[],[f1709,f418]) ).
fof(f1709,plain,
( ! [X0] :
( ~ aInteger0(X0)
| smndt0(X0) = sdtasdt0(sz10,smndt0(X0)) )
| ~ spl27_194 ),
inference(avatar_component_clause,[],[f1708]) ).
fof(f6943,plain,
( spl27_426
| ~ spl27_15
| ~ spl27_191 ),
inference(avatar_split_clause,[],[f1764,f1687,f417,f6941]) ).
fof(f6941,plain,
( spl27_426
<=> ! [X0] :
( smndt0(smndt0(X0)) = sdtasdt0(smndt0(smndt0(X0)),sz10)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_426])]) ).
fof(f1687,plain,
( spl27_191
<=> ! [X0] :
( smndt0(X0) = sdtasdt0(smndt0(X0),sz10)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_191])]) ).
fof(f1764,plain,
( ! [X0] :
( smndt0(smndt0(X0)) = sdtasdt0(smndt0(smndt0(X0)),sz10)
| ~ aInteger0(X0) )
| ~ spl27_15
| ~ spl27_191 ),
inference(resolution,[],[f1688,f418]) ).
fof(f1688,plain,
( ! [X0] :
( ~ aInteger0(X0)
| smndt0(X0) = sdtasdt0(smndt0(X0),sz10) )
| ~ spl27_191 ),
inference(avatar_component_clause,[],[f1687]) ).
fof(f6939,plain,
( spl27_425
| ~ spl27_15
| ~ spl27_190 ),
inference(avatar_split_clause,[],[f1754,f1683,f417,f6937]) ).
fof(f6937,plain,
( spl27_425
<=> ! [X0] :
( smndt0(smndt0(X0)) = sdtpldt0(sz00,smndt0(smndt0(X0)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_425])]) ).
fof(f1683,plain,
( spl27_190
<=> ! [X0] :
( smndt0(X0) = sdtpldt0(sz00,smndt0(X0))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_190])]) ).
fof(f1754,plain,
( ! [X0] :
( smndt0(smndt0(X0)) = sdtpldt0(sz00,smndt0(smndt0(X0)))
| ~ aInteger0(X0) )
| ~ spl27_15
| ~ spl27_190 ),
inference(resolution,[],[f1684,f418]) ).
fof(f1684,plain,
( ! [X0] :
( ~ aInteger0(X0)
| smndt0(X0) = sdtpldt0(sz00,smndt0(X0)) )
| ~ spl27_190 ),
inference(avatar_component_clause,[],[f1683]) ).
fof(f6935,plain,
( spl27_424
| ~ spl27_15
| ~ spl27_189 ),
inference(avatar_split_clause,[],[f1744,f1679,f417,f6933]) ).
fof(f6933,plain,
( spl27_424
<=> ! [X0] :
( smndt0(smndt0(X0)) = sdtpldt0(smndt0(smndt0(X0)),sz00)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_424])]) ).
fof(f1679,plain,
( spl27_189
<=> ! [X0] :
( smndt0(X0) = sdtpldt0(smndt0(X0),sz00)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_189])]) ).
fof(f1744,plain,
( ! [X0] :
( smndt0(smndt0(X0)) = sdtpldt0(smndt0(smndt0(X0)),sz00)
| ~ aInteger0(X0) )
| ~ spl27_15
| ~ spl27_189 ),
inference(resolution,[],[f1680,f418]) ).
fof(f1680,plain,
( ! [X0] :
( ~ aInteger0(X0)
| smndt0(X0) = sdtpldt0(smndt0(X0),sz00) )
| ~ spl27_189 ),
inference(avatar_component_clause,[],[f1679]) ).
fof(f6931,plain,
( spl27_423
| ~ spl27_93
| ~ spl27_182 ),
inference(avatar_split_clause,[],[f1603,f1513,f876,f6929]) ).
fof(f6929,plain,
( spl27_423
<=> ! [X0,X1] :
( aInteger0(sK19(X0,sbsmnsldt0(X1)))
| ~ sP7(X1)
| sP6(X0,sbsmnsldt0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_423])]) ).
fof(f876,plain,
( spl27_93
<=> ! [X0,X1] :
( sP6(X0,X1)
| aInteger0(sK19(X0,X1))
| aElementOf0(sK19(X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_93])]) ).
fof(f1603,plain,
( ! [X0,X1] :
( aInteger0(sK19(X0,sbsmnsldt0(X1)))
| ~ sP7(X1)
| sP6(X0,sbsmnsldt0(X1)) )
| ~ spl27_93
| ~ spl27_182 ),
inference(duplicate_literal_removal,[],[f1585]) ).
fof(f1585,plain,
( ! [X0,X1] :
( aInteger0(sK19(X0,sbsmnsldt0(X1)))
| ~ sP7(X1)
| aInteger0(sK19(X0,sbsmnsldt0(X1)))
| sP6(X0,sbsmnsldt0(X1)) )
| ~ spl27_93
| ~ spl27_182 ),
inference(resolution,[],[f1514,f877]) ).
fof(f877,plain,
( ! [X0,X1] :
( aElementOf0(sK19(X0,X1),X1)
| aInteger0(sK19(X0,X1))
| sP6(X0,X1) )
| ~ spl27_93 ),
inference(avatar_component_clause,[],[f876]) ).
fof(f6927,plain,
( spl27_422
| ~ spl27_93
| ~ spl27_180 ),
inference(avatar_split_clause,[],[f1578,f1504,f876,f6925]) ).
fof(f6925,plain,
( spl27_422
<=> ! [X0,X1] :
( aInteger0(sK19(X0,stldt0(X1)))
| ~ sP5(X1)
| sP6(X0,stldt0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_422])]) ).
fof(f1578,plain,
( ! [X0,X1] :
( aInteger0(sK19(X0,stldt0(X1)))
| ~ sP5(X1)
| sP6(X0,stldt0(X1)) )
| ~ spl27_93
| ~ spl27_180 ),
inference(duplicate_literal_removal,[],[f1559]) ).
fof(f1559,plain,
( ! [X0,X1] :
( aInteger0(sK19(X0,stldt0(X1)))
| ~ sP5(X1)
| aInteger0(sK19(X0,stldt0(X1)))
| sP6(X0,stldt0(X1)) )
| ~ spl27_93
| ~ spl27_180 ),
inference(resolution,[],[f1505,f877]) ).
fof(f6923,plain,
( spl27_421
| ~ spl27_37
| ~ spl27_179 ),
inference(avatar_split_clause,[],[f1551,f1500,f511,f6921]) ).
fof(f6921,plain,
( spl27_421
<=> ! [X0,X1] :
( sz00 = sdtasdt0(sz00,smndt0(sK14(X0,X1)))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_421])]) ).
fof(f511,plain,
( spl27_37
<=> ! [X0,X1] :
( aInteger0(sK14(X0,X1))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_37])]) ).
fof(f1551,plain,
( ! [X0,X1] :
( sz00 = sdtasdt0(sz00,smndt0(sK14(X0,X1)))
| ~ sP0(X0,X1) )
| ~ spl27_37
| ~ spl27_179 ),
inference(resolution,[],[f1501,f512]) ).
fof(f512,plain,
( ! [X0,X1] :
( aInteger0(sK14(X0,X1))
| ~ sP0(X0,X1) )
| ~ spl27_37 ),
inference(avatar_component_clause,[],[f511]) ).
fof(f6880,plain,
( spl27_6
| ~ spl27_7
| ~ spl27_386 ),
inference(avatar_split_clause,[],[f5969,f5665,f376,f372]) ).
fof(f372,plain,
( spl27_6
<=> sz10 = sdtpldt0(sz10,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_6])]) ).
fof(f5665,plain,
( spl27_386
<=> xp = smndt0(xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_386])]) ).
fof(f5969,plain,
( sz10 = sdtpldt0(sz10,xp)
| ~ spl27_7
| ~ spl27_386 ),
inference(superposition,[],[f378,f5667]) ).
fof(f5667,plain,
( xp = smndt0(xp)
| ~ spl27_386 ),
inference(avatar_component_clause,[],[f5665]) ).
fof(f6879,plain,
( spl27_420
| ~ spl27_37
| ~ spl27_178 ),
inference(avatar_split_clause,[],[f1541,f1496,f511,f6877]) ).
fof(f6877,plain,
( spl27_420
<=> ! [X0,X1] :
( sz00 = sdtasdt0(smndt0(sK14(X0,X1)),sz00)
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_420])]) ).
fof(f1541,plain,
( ! [X0,X1] :
( sz00 = sdtasdt0(smndt0(sK14(X0,X1)),sz00)
| ~ sP0(X0,X1) )
| ~ spl27_37
| ~ spl27_178 ),
inference(resolution,[],[f1497,f512]) ).
fof(f6615,plain,
( spl27_419
| ~ spl27_1
| ~ spl27_88
| ~ spl27_284 ),
inference(avatar_split_clause,[],[f3076,f2896,f836,f347,f6613]) ).
fof(f6613,plain,
( spl27_419
<=> ! [X0] :
( sdtasdt0(X0,xp) = sdtasdt0(sdtasdt0(X0,xp),sz10)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_419])]) ).
fof(f836,plain,
( spl27_88
<=> xp = sdtasdt0(xp,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_88])]) ).
fof(f3076,plain,
( ! [X0] :
( sdtasdt0(X0,xp) = sdtasdt0(sdtasdt0(X0,xp),sz10)
| ~ aInteger0(X0) )
| ~ spl27_1
| ~ spl27_88
| ~ spl27_284 ),
inference(forward_demodulation,[],[f3070,f838]) ).
fof(f838,plain,
( xp = sdtasdt0(xp,sz10)
| ~ spl27_88 ),
inference(avatar_component_clause,[],[f836]) ).
fof(f3070,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,xp),sz10) = sdtasdt0(X0,sdtasdt0(xp,sz10))
| ~ aInteger0(X0) )
| ~ spl27_1
| ~ spl27_284 ),
inference(resolution,[],[f2897,f349]) ).
fof(f6611,plain,
( spl27_418
| ~ spl27_1
| ~ spl27_52
| ~ spl27_283 ),
inference(avatar_split_clause,[],[f3063,f2892,f606,f347,f6609]) ).
fof(f606,plain,
( spl27_52
<=> sz00 = sdtasdt0(xp,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_52])]) ).
fof(f3063,plain,
( ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,xp),sz00)
| ~ aInteger0(X0) )
| ~ spl27_1
| ~ spl27_52
| ~ spl27_283 ),
inference(forward_demodulation,[],[f3057,f608]) ).
fof(f608,plain,
( sz00 = sdtasdt0(xp,sz00)
| ~ spl27_52 ),
inference(avatar_component_clause,[],[f606]) ).
fof(f3057,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,xp),sz00) = sdtasdt0(X0,sdtasdt0(xp,sz00))
| ~ aInteger0(X0) )
| ~ spl27_1
| ~ spl27_283 ),
inference(resolution,[],[f2893,f349]) ).
fof(f6607,plain,
( spl27_417
| ~ spl27_1
| ~ spl27_62
| ~ spl27_281 ),
inference(avatar_split_clause,[],[f3038,f2884,f680,f347,f6605]) ).
fof(f6605,plain,
( spl27_417
<=> ! [X0] :
( sdtpldt0(X0,xp) = sdtpldt0(sdtpldt0(X0,xp),sz00)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_417])]) ).
fof(f3038,plain,
( ! [X0] :
( sdtpldt0(X0,xp) = sdtpldt0(sdtpldt0(X0,xp),sz00)
| ~ aInteger0(X0) )
| ~ spl27_1
| ~ spl27_62
| ~ spl27_281 ),
inference(forward_demodulation,[],[f3032,f682]) ).
fof(f3032,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,xp),sz00) = sdtpldt0(X0,sdtpldt0(xp,sz00))
| ~ aInteger0(X0) )
| ~ spl27_1
| ~ spl27_281 ),
inference(resolution,[],[f2885,f349]) ).
fof(f6603,plain,
( ~ spl27_416
| spl27_381
| ~ spl27_386 ),
inference(avatar_split_clause,[],[f6556,f5665,f4987,f6600]) ).
fof(f6600,plain,
( spl27_416
<=> aDivisorOf0(xp,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_416])]) ).
fof(f4987,plain,
( spl27_381
<=> aDivisorOf0(smndt0(xp),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_381])]) ).
fof(f6556,plain,
( ~ aDivisorOf0(xp,sz10)
| spl27_381
| ~ spl27_386 ),
inference(superposition,[],[f4989,f5667]) ).
fof(f4989,plain,
( ~ aDivisorOf0(smndt0(xp),sz10)
| spl27_381 ),
inference(avatar_component_clause,[],[f4987]) ).
fof(f6598,plain,
( spl27_415
| ~ spl27_4
| ~ spl27_96
| ~ spl27_273 ),
inference(avatar_split_clause,[],[f2853,f2828,f888,f362,f6596]) ).
fof(f6596,plain,
( spl27_415
<=> ! [X0] :
( sdtasdt0(X0,xp) = sdtasdt0(sdtasdt0(X0,sz10),xp)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_415])]) ).
fof(f2853,plain,
( ! [X0] :
( sdtasdt0(X0,xp) = sdtasdt0(sdtasdt0(X0,sz10),xp)
| ~ aInteger0(X0) )
| ~ spl27_4
| ~ spl27_96
| ~ spl27_273 ),
inference(forward_demodulation,[],[f2844,f890]) ).
fof(f2844,plain,
( ! [X0] :
( sdtasdt0(X0,sdtasdt0(sz10,xp)) = sdtasdt0(sdtasdt0(X0,sz10),xp)
| ~ aInteger0(X0) )
| ~ spl27_4
| ~ spl27_273 ),
inference(resolution,[],[f2829,f364]) ).
fof(f6594,plain,
( spl27_414
| ~ spl27_5
| ~ spl27_54
| ~ spl27_273 ),
inference(avatar_split_clause,[],[f2852,f2828,f628,f367,f6592]) ).
fof(f6592,plain,
( spl27_414
<=> ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sz00),xp)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_414])]) ).
fof(f2852,plain,
( ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sz00),xp)
| ~ aInteger0(X0) )
| ~ spl27_5
| ~ spl27_54
| ~ spl27_273 ),
inference(forward_demodulation,[],[f2843,f630]) ).
fof(f2843,plain,
( ! [X0] :
( sdtasdt0(X0,sdtasdt0(sz00,xp)) = sdtasdt0(sdtasdt0(X0,sz00),xp)
| ~ aInteger0(X0) )
| ~ spl27_5
| ~ spl27_273 ),
inference(resolution,[],[f2829,f369]) ).
fof(f6590,plain,
( spl27_413
| ~ spl27_5
| ~ spl27_85
| ~ spl27_272 ),
inference(avatar_split_clause,[],[f2840,f2824,f817,f367,f6588]) ).
fof(f6588,plain,
( spl27_413
<=> ! [X0] :
( sdtpldt0(X0,xp) = sdtpldt0(sdtpldt0(X0,sz00),xp)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_413])]) ).
fof(f2840,plain,
( ! [X0] :
( sdtpldt0(X0,xp) = sdtpldt0(sdtpldt0(X0,sz00),xp)
| ~ aInteger0(X0) )
| ~ spl27_5
| ~ spl27_85
| ~ spl27_272 ),
inference(forward_demodulation,[],[f2831,f819]) ).
fof(f2831,plain,
( ! [X0] :
( sdtpldt0(X0,sdtpldt0(sz00,xp)) = sdtpldt0(sdtpldt0(X0,sz00),xp)
| ~ aInteger0(X0) )
| ~ spl27_5
| ~ spl27_272 ),
inference(resolution,[],[f2825,f369]) ).
fof(f6585,plain,
( spl27_412
| ~ spl27_1
| ~ spl27_249 ),
inference(avatar_split_clause,[],[f2430,f2325,f347,f6583]) ).
fof(f6583,plain,
( spl27_412
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,smndt0(xp)) = sdtasdt0(smndt0(xp),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_412])]) ).
fof(f2325,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(f2430,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,smndt0(xp)) = sdtasdt0(smndt0(xp),X0) )
| ~ spl27_1
| ~ spl27_249 ),
inference(resolution,[],[f2326,f349]) ).
fof(f2326,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(X0,smndt0(X1)) = sdtasdt0(smndt0(X1),X0) )
| ~ spl27_249 ),
inference(avatar_component_clause,[],[f2325]) ).
fof(f6580,plain,
( spl27_411
| ~ spl27_1
| ~ spl27_248 ),
inference(avatar_split_clause,[],[f2420,f2321,f347,f6578]) ).
fof(f6578,plain,
( spl27_411
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,smndt0(xp)) = sdtpldt0(smndt0(xp),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_411])]) ).
fof(f2321,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(f2420,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,smndt0(xp)) = sdtpldt0(smndt0(xp),X0) )
| ~ spl27_1
| ~ spl27_248 ),
inference(resolution,[],[f2322,f349]) ).
fof(f2322,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtpldt0(X0,smndt0(X1)) = sdtpldt0(smndt0(X1),X0) )
| ~ spl27_248 ),
inference(avatar_component_clause,[],[f2321]) ).
fof(f6576,plain,
( spl27_410
| ~ spl27_1
| ~ spl27_247 ),
inference(avatar_split_clause,[],[f2411,f2317,f347,f6574]) ).
fof(f6574,plain,
( spl27_410
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(xp,X0) = sdtasdt0(sz10,sdtasdt0(xp,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_410])]) ).
fof(f2411,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(xp,X0) = sdtasdt0(sz10,sdtasdt0(xp,X0)) )
| ~ spl27_1
| ~ spl27_247 ),
inference(resolution,[],[f2318,f349]) ).
fof(f6572,plain,
( spl27_409
| ~ spl27_1
| ~ spl27_246 ),
inference(avatar_split_clause,[],[f2402,f2313,f347,f6570]) ).
fof(f6570,plain,
( spl27_409
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(xp,X0) = sdtasdt0(sdtasdt0(xp,X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_409])]) ).
fof(f2402,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(xp,X0) = sdtasdt0(sdtasdt0(xp,X0),sz10) )
| ~ spl27_1
| ~ spl27_246 ),
inference(resolution,[],[f2314,f349]) ).
fof(f6568,plain,
( spl27_408
| ~ spl27_1
| ~ spl27_245 ),
inference(avatar_split_clause,[],[f2393,f2309,f347,f6566]) ).
fof(f6566,plain,
( spl27_408
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(xp,X0) = sdtpldt0(sz00,sdtasdt0(xp,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_408])]) ).
fof(f2393,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(xp,X0) = sdtpldt0(sz00,sdtasdt0(xp,X0)) )
| ~ spl27_1
| ~ spl27_245 ),
inference(resolution,[],[f2310,f349]) ).
fof(f6564,plain,
( spl27_407
| ~ spl27_1
| ~ spl27_244 ),
inference(avatar_split_clause,[],[f2384,f2305,f347,f6562]) ).
fof(f6562,plain,
( spl27_407
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(xp,X0) = sdtpldt0(sdtasdt0(xp,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_407])]) ).
fof(f2384,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(xp,X0) = sdtpldt0(sdtasdt0(xp,X0),sz00) )
| ~ spl27_1
| ~ spl27_244 ),
inference(resolution,[],[f2306,f349]) ).
fof(f6560,plain,
( spl27_406
| ~ spl27_1
| ~ spl27_243 ),
inference(avatar_split_clause,[],[f2375,f2301,f347,f6558]) ).
fof(f6558,plain,
( spl27_406
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(xp,X0) = sdtasdt0(sz10,sdtpldt0(xp,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_406])]) ).
fof(f2375,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(xp,X0) = sdtasdt0(sz10,sdtpldt0(xp,X0)) )
| ~ spl27_1
| ~ spl27_243 ),
inference(resolution,[],[f2302,f349]) ).
fof(f6555,plain,
( spl27_405
| ~ spl27_1
| ~ spl27_242 ),
inference(avatar_split_clause,[],[f2366,f2297,f347,f6553]) ).
fof(f6553,plain,
( spl27_405
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(xp,X0) = sdtasdt0(sdtpldt0(xp,X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_405])]) ).
fof(f2366,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(xp,X0) = sdtasdt0(sdtpldt0(xp,X0),sz10) )
| ~ spl27_1
| ~ spl27_242 ),
inference(resolution,[],[f2298,f349]) ).
fof(f6551,plain,
( spl27_404
| ~ spl27_1
| ~ spl27_241 ),
inference(avatar_split_clause,[],[f2357,f2293,f347,f6549]) ).
fof(f6549,plain,
( spl27_404
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(xp,X0) = sdtpldt0(sz00,sdtpldt0(xp,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_404])]) ).
fof(f2357,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(xp,X0) = sdtpldt0(sz00,sdtpldt0(xp,X0)) )
| ~ spl27_1
| ~ spl27_241 ),
inference(resolution,[],[f2294,f349]) ).
fof(f6547,plain,
( spl27_403
| ~ spl27_1
| ~ spl27_240 ),
inference(avatar_split_clause,[],[f2348,f2289,f347,f6545]) ).
fof(f6545,plain,
( spl27_403
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(xp,X0) = sdtpldt0(sdtpldt0(xp,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_403])]) ).
fof(f2348,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(xp,X0) = sdtpldt0(sdtpldt0(xp,X0),sz00) )
| ~ spl27_1
| ~ spl27_240 ),
inference(resolution,[],[f2290,f349]) ).
fof(f6543,plain,
( spl27_402
| ~ spl27_15
| ~ spl27_188 ),
inference(avatar_split_clause,[],[f1668,f1652,f417,f6541]) ).
fof(f6541,plain,
( spl27_402
<=> ! [X0] :
( sdtasdt0(smndt0(X0),xp) = sdtasdt0(xp,smndt0(X0))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_402])]) ).
fof(f1652,plain,
( spl27_188
<=> ! [X0] :
( sdtasdt0(X0,xp) = sdtasdt0(xp,X0)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_188])]) ).
fof(f1668,plain,
( ! [X0] :
( sdtasdt0(smndt0(X0),xp) = sdtasdt0(xp,smndt0(X0))
| ~ aInteger0(X0) )
| ~ spl27_15
| ~ spl27_188 ),
inference(resolution,[],[f1653,f418]) ).
fof(f1653,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,xp) = sdtasdt0(xp,X0) )
| ~ spl27_188 ),
inference(avatar_component_clause,[],[f1652]) ).
fof(f6539,plain,
( spl27_401
| ~ spl27_15
| ~ spl27_187 ),
inference(avatar_split_clause,[],[f1657,f1648,f417,f6537]) ).
fof(f6537,plain,
( spl27_401
<=> ! [X0] :
( sdtpldt0(smndt0(X0),xp) = sdtpldt0(xp,smndt0(X0))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_401])]) ).
fof(f1648,plain,
( spl27_187
<=> ! [X0] :
( sdtpldt0(X0,xp) = sdtpldt0(xp,X0)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_187])]) ).
fof(f1657,plain,
( ! [X0] :
( sdtpldt0(smndt0(X0),xp) = sdtpldt0(xp,smndt0(X0))
| ~ aInteger0(X0) )
| ~ spl27_15
| ~ spl27_187 ),
inference(resolution,[],[f1649,f418]) ).
fof(f1649,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,xp) = sdtpldt0(xp,X0) )
| ~ spl27_187 ),
inference(avatar_component_clause,[],[f1648]) ).
fof(f6412,plain,
( spl27_400
| ~ spl27_294 ),
inference(avatar_split_clause,[],[f3302,f3111,f6410]) ).
fof(f6410,plain,
( spl27_400
<=> ! [X0] :
( aElementOf0(sK26(X0,X0,X0),X0)
| sP11(X0,X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_400])]) ).
fof(f3111,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(f3302,plain,
( ! [X0] :
( aElementOf0(sK26(X0,X0,X0),X0)
| sP11(X0,X0,X0) )
| ~ spl27_294 ),
inference(factoring,[],[f3112]) ).
fof(f3112,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,[],[f3111]) ).
fof(f6408,plain,
( spl27_399
| ~ spl27_65
| ~ spl27_217 ),
inference(avatar_split_clause,[],[f2068,f1993,f693,f6406]) ).
fof(f6406,plain,
( spl27_399
<=> ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sz00,sdtasdt0(smndt0(sz10),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_399])]) ).
fof(f2068,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sz00,sdtasdt0(smndt0(sz10),X0)) )
| ~ spl27_65
| ~ spl27_217 ),
inference(resolution,[],[f1994,f694]) ).
fof(f6404,plain,
( spl27_398
| ~ spl27_65
| ~ spl27_216 ),
inference(avatar_split_clause,[],[f2059,f1989,f693,f6402]) ).
fof(f6402,plain,
( spl27_398
<=> ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sdtasdt0(smndt0(sz10),X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_398])]) ).
fof(f2059,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sdtasdt0(smndt0(sz10),X0),sz00) )
| ~ spl27_65
| ~ spl27_216 ),
inference(resolution,[],[f1990,f694]) ).
fof(f6400,plain,
( spl27_397
| ~ spl27_65
| ~ spl27_215 ),
inference(avatar_split_clause,[],[f2050,f1985,f693,f6398]) ).
fof(f6398,plain,
( spl27_397
<=> ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(smndt0(sz10),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_397])]) ).
fof(f2050,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(smndt0(sz10),X0)) )
| ~ spl27_65
| ~ spl27_215 ),
inference(resolution,[],[f1986,f694]) ).
fof(f6396,plain,
( spl27_396
| ~ spl27_65
| ~ spl27_214 ),
inference(avatar_split_clause,[],[f2041,f1981,f693,f6394]) ).
fof(f6394,plain,
( spl27_396
<=> ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sdtpldt0(smndt0(sz10),X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_396])]) ).
fof(f2041,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sdtpldt0(smndt0(sz10),X0),sz00) )
| ~ spl27_65
| ~ spl27_214 ),
inference(resolution,[],[f1982,f694]) ).
fof(f6392,plain,
( spl27_395
| ~ spl27_65
| ~ spl27_206 ),
inference(avatar_split_clause,[],[f1927,f1880,f693,f6389]) ).
fof(f6389,plain,
( spl27_395
<=> sz00 = sdtpldt0(smndt0(smndt0(smndt0(sz10))),smndt0(smndt0(sz10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_395])]) ).
fof(f1927,plain,
( sz00 = sdtpldt0(smndt0(smndt0(smndt0(sz10))),smndt0(smndt0(sz10)))
| ~ spl27_65
| ~ spl27_206 ),
inference(resolution,[],[f1881,f694]) ).
fof(f6387,plain,
( spl27_394
| ~ spl27_65
| ~ spl27_205 ),
inference(avatar_split_clause,[],[f1917,f1876,f693,f6384]) ).
fof(f6384,plain,
( spl27_394
<=> sz00 = sdtpldt0(smndt0(smndt0(sz10)),smndt0(smndt0(smndt0(sz10)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_394])]) ).
fof(f1917,plain,
( sz00 = sdtpldt0(smndt0(smndt0(sz10)),smndt0(smndt0(smndt0(sz10))))
| ~ spl27_65
| ~ spl27_205 ),
inference(resolution,[],[f1877,f694]) ).
fof(f6381,plain,
( spl27_393
| ~ spl27_23
| ~ spl27_196 ),
inference(avatar_split_clause,[],[f1783,f1716,f450,f6379]) ).
fof(f6379,plain,
( spl27_393
<=> ! [X0] :
( ~ aElementOf0(sK15(stldt0(X0)),X0)
| ~ sP5(X0)
| sP2(stldt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_393])]) ).
fof(f1716,plain,
( spl27_196
<=> ! [X0,X1] :
( ~ aElementOf0(X0,stldt0(X1))
| ~ aElementOf0(X0,X1)
| ~ sP5(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_196])]) ).
fof(f1783,plain,
( ! [X0] :
( ~ aElementOf0(sK15(stldt0(X0)),X0)
| ~ sP5(X0)
| sP2(stldt0(X0)) )
| ~ spl27_23
| ~ spl27_196 ),
inference(resolution,[],[f1717,f451]) ).
fof(f1717,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,stldt0(X1))
| ~ aElementOf0(X0,X1)
| ~ sP5(X1) )
| ~ spl27_196 ),
inference(avatar_component_clause,[],[f1716]) ).
fof(f6341,plain,
( spl27_8
| ~ spl27_65
| spl27_389
| ~ spl27_1
| spl27_392
| ~ spl27_167
| ~ spl27_345
| ~ spl27_386 ),
inference(avatar_split_clause,[],[f6287,f5665,f4363,f1410,f6339,f347,f6240,f693,f381]) ).
fof(f6339,plain,
( spl27_392
<=> ! [X0,X1] :
( sP8(xp,X0,X1)
| ~ aSet0(X1)
| ~ aInteger0(X0)
| sdteqdtlpzmzozddtrp0(sK24(xp,X0,X1),X0,smndt0(sz10))
| aElementOf0(sK24(xp,X0,X1),X1)
| ~ aInteger0(sK24(xp,X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_392])]) ).
fof(f4363,plain,
( spl27_345
<=> ! [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_345])]) ).
fof(f6287,plain,
( ! [X0,X1] :
( sP8(xp,X0,X1)
| ~ aInteger0(sK24(xp,X0,X1))
| aElementOf0(sK24(xp,X0,X1),X1)
| sdteqdtlpzmzozddtrp0(sK24(xp,X0,X1),X0,smndt0(sz10))
| ~ aInteger0(xp)
| sz00 = smndt0(sz10)
| ~ aInteger0(smndt0(sz10))
| ~ aInteger0(X0)
| sz00 = xp
| ~ aSet0(X1) )
| ~ spl27_167
| ~ spl27_345
| ~ spl27_386 ),
inference(forward_demodulation,[],[f6286,f5667]) ).
fof(f6286,plain,
( ! [X0,X1] :
( ~ aInteger0(sK24(xp,X0,X1))
| aElementOf0(sK24(xp,X0,X1),X1)
| sdteqdtlpzmzozddtrp0(sK24(xp,X0,X1),X0,smndt0(sz10))
| ~ aInteger0(xp)
| sz00 = smndt0(sz10)
| ~ aInteger0(smndt0(sz10))
| ~ aInteger0(X0)
| sz00 = xp
| sP8(smndt0(xp),X0,X1)
| ~ aSet0(X1) )
| ~ spl27_167
| ~ spl27_345
| ~ spl27_386 ),
inference(forward_demodulation,[],[f6285,f5667]) ).
fof(f6285,plain,
( ! [X0,X1] :
( aElementOf0(sK24(xp,X0,X1),X1)
| sdteqdtlpzmzozddtrp0(sK24(xp,X0,X1),X0,smndt0(sz10))
| ~ aInteger0(xp)
| sz00 = smndt0(sz10)
| ~ aInteger0(smndt0(sz10))
| ~ aInteger0(X0)
| ~ aInteger0(sK24(smndt0(xp),X0,X1))
| sz00 = xp
| sP8(smndt0(xp),X0,X1)
| ~ aSet0(X1) )
| ~ spl27_167
| ~ spl27_345
| ~ spl27_386 ),
inference(forward_demodulation,[],[f6284,f5667]) ).
fof(f6284,plain,
( ! [X0,X1] :
( sdteqdtlpzmzozddtrp0(sK24(xp,X0,X1),X0,smndt0(sz10))
| aElementOf0(sK24(smndt0(xp),X0,X1),X1)
| ~ aInteger0(xp)
| sz00 = smndt0(sz10)
| ~ aInteger0(smndt0(sz10))
| ~ aInteger0(X0)
| ~ aInteger0(sK24(smndt0(xp),X0,X1))
| sz00 = xp
| sP8(smndt0(xp),X0,X1)
| ~ aSet0(X1) )
| ~ spl27_167
| ~ spl27_345
| ~ spl27_386 ),
inference(forward_demodulation,[],[f4416,f5667]) ).
fof(f4416,plain,
( ! [X0,X1] :
( sdteqdtlpzmzozddtrp0(sK24(smndt0(xp),X0,X1),X0,smndt0(sz10))
| aElementOf0(sK24(smndt0(xp),X0,X1),X1)
| ~ aInteger0(xp)
| sz00 = smndt0(sz10)
| ~ aInteger0(smndt0(sz10))
| ~ aInteger0(X0)
| ~ aInteger0(sK24(smndt0(xp),X0,X1))
| sz00 = xp
| sP8(smndt0(xp),X0,X1)
| ~ aSet0(X1) )
| ~ spl27_167
| ~ spl27_345 ),
inference(superposition,[],[f4364,f1412]) ).
fof(f4364,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_345 ),
inference(avatar_component_clause,[],[f4363]) ).
fof(f6325,plain,
( ~ spl27_65
| spl27_389
| ~ spl27_1
| spl27_8
| spl27_391
| ~ spl27_142
| ~ spl27_167
| ~ spl27_386 ),
inference(avatar_split_clause,[],[f6280,f5665,f1410,f1202,f6323,f381,f347,f6240,f693]) ).
fof(f6323,plain,
( spl27_391
<=> ! [X0,X1] :
( ~ sdteqdtlpzmzozddtrp0(X0,X1,xp)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdteqdtlpzmzozddtrp0(X0,X1,smndt0(sz10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_391])]) ).
fof(f1202,plain,
( spl27_142
<=> ! [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_142])]) ).
fof(f6280,plain,
( ! [X0,X1] :
( ~ sdteqdtlpzmzozddtrp0(X0,X1,xp)
| sdteqdtlpzmzozddtrp0(X0,X1,smndt0(sz10))
| sz00 = xp
| ~ aInteger0(xp)
| sz00 = smndt0(sz10)
| ~ aInteger0(smndt0(sz10))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl27_142
| ~ spl27_167
| ~ spl27_386 ),
inference(forward_demodulation,[],[f1420,f5667]) ).
fof(f1420,plain,
( ! [X0,X1] :
( ~ sdteqdtlpzmzozddtrp0(X0,X1,smndt0(xp))
| sdteqdtlpzmzozddtrp0(X0,X1,smndt0(sz10))
| sz00 = xp
| ~ aInteger0(xp)
| sz00 = smndt0(sz10)
| ~ aInteger0(smndt0(sz10))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl27_142
| ~ spl27_167 ),
inference(superposition,[],[f1203,f1412]) ).
fof(f1203,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_142 ),
inference(avatar_component_clause,[],[f1202]) ).
fof(f6247,plain,
( ~ spl27_1
| ~ spl27_65
| spl27_389
| spl27_390
| ~ spl27_14
| ~ spl27_7
| ~ spl27_167
| ~ spl27_253
| ~ spl27_291
| ~ spl27_354
| ~ spl27_386 ),
inference(avatar_split_clause,[],[f5802,f5665,f4693,f3099,f2435,f1410,f376,f412,f6244,f6240,f693,f347]) ).
fof(f6244,plain,
( spl27_390
<=> aDivisorOf0(smndt0(sz10),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_390])]) ).
fof(f412,plain,
( spl27_14
<=> sP1(xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_14])]) ).
fof(f2435,plain,
( spl27_253
<=> smndt0(xp) = sdtpldt0(sz00,smndt0(xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_253])]) ).
fof(f3099,plain,
( spl27_291
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| sz00 = X1
| ~ aInteger0(X1)
| aDivisorOf0(X1,sdtasdt0(X1,X0))
| ~ sP1(sdtasdt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_291])]) ).
fof(f5802,plain,
( ~ sP1(xp)
| aDivisorOf0(smndt0(sz10),sz10)
| sz00 = smndt0(sz10)
| ~ aInteger0(smndt0(sz10))
| ~ aInteger0(xp)
| ~ spl27_7
| ~ spl27_167
| ~ spl27_253
| ~ spl27_291
| ~ spl27_354
| ~ spl27_386 ),
inference(forward_demodulation,[],[f5449,f5667]) ).
fof(f5449,plain,
( aDivisorOf0(smndt0(sz10),sz10)
| sz00 = smndt0(sz10)
| ~ aInteger0(smndt0(sz10))
| ~ aInteger0(xp)
| ~ sP1(smndt0(xp))
| ~ spl27_7
| ~ spl27_167
| ~ spl27_253
| ~ spl27_291
| ~ spl27_354 ),
inference(forward_demodulation,[],[f3200,f4754]) ).
fof(f4754,plain,
( sz10 = smndt0(xp)
| ~ spl27_7
| ~ spl27_253
| ~ spl27_354 ),
inference(forward_demodulation,[],[f4726,f378]) ).
fof(f4726,plain,
( smndt0(xp) = sdtpldt0(sz10,smndt0(xp))
| ~ spl27_253
| ~ spl27_354 ),
inference(superposition,[],[f2437,f4695]) ).
fof(f4695,plain,
( sz00 = sz10
| ~ spl27_354 ),
inference(avatar_component_clause,[],[f4693]) ).
fof(f2437,plain,
( smndt0(xp) = sdtpldt0(sz00,smndt0(xp))
| ~ spl27_253 ),
inference(avatar_component_clause,[],[f2435]) ).
fof(f3200,plain,
( aDivisorOf0(smndt0(sz10),smndt0(xp))
| sz00 = smndt0(sz10)
| ~ aInteger0(smndt0(sz10))
| ~ aInteger0(xp)
| ~ sP1(smndt0(xp))
| ~ spl27_167
| ~ spl27_291 ),
inference(superposition,[],[f3100,f1412]) ).
fof(f3100,plain,
( ! [X0,X1] :
( aDivisorOf0(X1,sdtasdt0(X1,X0))
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ sP1(sdtasdt0(X1,X0)) )
| ~ spl27_291 ),
inference(avatar_component_clause,[],[f3099]) ).
fof(f5755,plain,
( ~ spl27_4
| spl27_354
| ~ spl27_1
| spl27_388
| ~ spl27_96
| ~ spl27_100 ),
inference(avatar_split_clause,[],[f1058,f905,f888,f5752,f347,f4693,f362]) ).
fof(f5752,plain,
( spl27_388
<=> sP0(xp,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_388])]) ).
fof(f1058,plain,
( sP0(xp,sz10)
| ~ aInteger0(xp)
| sz00 = sz10
| ~ aInteger0(sz10)
| ~ spl27_96
| ~ spl27_100 ),
inference(superposition,[],[f906,f890]) ).
fof(f5731,plain,
( ~ spl27_1
| spl27_8
| ~ spl27_5
| spl27_387
| ~ spl27_52
| ~ spl27_100 ),
inference(avatar_split_clause,[],[f935,f905,f606,f5728,f367,f381,f347]) ).
fof(f5728,plain,
( spl27_387
<=> sP0(sz00,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_387])]) ).
fof(f935,plain,
( sP0(sz00,xp)
| ~ aInteger0(sz00)
| sz00 = xp
| ~ aInteger0(xp)
| ~ spl27_52
| ~ spl27_100 ),
inference(superposition,[],[f906,f608]) ).
fof(f5668,plain,
( spl27_386
| ~ spl27_7
| ~ spl27_52
| ~ spl27_88
| ~ spl27_151
| ~ spl27_158
| ~ spl27_171
| ~ spl27_230
| ~ spl27_253
| ~ spl27_354
| ~ spl27_363 ),
inference(avatar_split_clause,[],[f5388,f4803,f4693,f2435,f2158,f1440,f1338,f1268,f836,f606,f376,f5665]) ).
fof(f1338,plain,
( spl27_158
<=> sz00 = sdtpldt0(smndt0(xp),xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_158])]) ).
fof(f1440,plain,
( spl27_171
<=> sz00 = smndt0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_171])]) ).
fof(f4803,plain,
( spl27_363
<=> smndt0(smndt0(xp)) = sdtasdt0(smndt0(xp),smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_363])]) ).
fof(f5388,plain,
( xp = smndt0(xp)
| ~ spl27_7
| ~ spl27_52
| ~ spl27_88
| ~ spl27_151
| ~ spl27_158
| ~ spl27_171
| ~ spl27_230
| ~ spl27_253
| ~ spl27_354
| ~ spl27_363 ),
inference(forward_demodulation,[],[f5387,f5382]) ).
fof(f5382,plain,
( sz10 = xp
| ~ spl27_7
| ~ spl27_52
| ~ spl27_88
| ~ spl27_158
| ~ spl27_171
| ~ spl27_230
| ~ spl27_253
| ~ spl27_354 ),
inference(forward_demodulation,[],[f5381,f4752]) ).
fof(f4752,plain,
( sz00 = xp
| ~ spl27_52
| ~ spl27_88
| ~ spl27_158
| ~ spl27_171
| ~ spl27_230
| ~ spl27_354 ),
inference(forward_demodulation,[],[f4751,f4740]) ).
fof(f4740,plain,
( xp = smndt0(xp)
| ~ spl27_52
| ~ spl27_88
| ~ spl27_171
| ~ spl27_354 ),
inference(forward_demodulation,[],[f4719,f4729]) ).
fof(f4729,plain,
( sz10 = xp
| ~ spl27_52
| ~ spl27_88
| ~ spl27_354 ),
inference(forward_demodulation,[],[f4705,f838]) ).
fof(f4705,plain,
( sz10 = sdtasdt0(xp,sz10)
| ~ spl27_52
| ~ spl27_354 ),
inference(superposition,[],[f608,f4695]) ).
fof(f4719,plain,
( sz10 = smndt0(sz10)
| ~ spl27_171
| ~ spl27_354 ),
inference(superposition,[],[f1442,f4695]) ).
fof(f1442,plain,
( sz00 = smndt0(sz00)
| ~ spl27_171 ),
inference(avatar_component_clause,[],[f1440]) ).
fof(f4751,plain,
( sz00 = smndt0(xp)
| ~ spl27_52
| ~ spl27_88
| ~ spl27_158
| ~ spl27_230
| ~ spl27_354 ),
inference(forward_demodulation,[],[f4750,f1340]) ).
fof(f1340,plain,
( sz00 = sdtpldt0(smndt0(xp),xp)
| ~ spl27_158 ),
inference(avatar_component_clause,[],[f1338]) ).
fof(f4750,plain,
( smndt0(xp) = sdtpldt0(smndt0(xp),xp)
| ~ spl27_52
| ~ spl27_88
| ~ spl27_230
| ~ spl27_354 ),
inference(forward_demodulation,[],[f4724,f4729]) ).
fof(f4724,plain,
( smndt0(xp) = sdtpldt0(smndt0(xp),sz10)
| ~ spl27_230
| ~ spl27_354 ),
inference(superposition,[],[f2160,f4695]) ).
fof(f5381,plain,
( sz00 = sz10
| ~ spl27_7
| ~ spl27_52
| ~ spl27_88
| ~ spl27_158
| ~ spl27_230
| ~ spl27_253
| ~ spl27_354 ),
inference(forward_demodulation,[],[f4751,f4754]) ).
fof(f5387,plain,
( sz10 = smndt0(sz10)
| ~ spl27_7
| ~ spl27_52
| ~ spl27_88
| ~ spl27_151
| ~ spl27_253
| ~ spl27_354
| ~ spl27_363 ),
inference(forward_demodulation,[],[f5386,f1270]) ).
fof(f5386,plain,
( smndt0(sz10) = sdtasdt0(sz10,sz10)
| ~ spl27_7
| ~ spl27_52
| ~ spl27_88
| ~ spl27_253
| ~ spl27_354
| ~ spl27_363 ),
inference(forward_demodulation,[],[f4807,f4754]) ).
fof(f4807,plain,
( smndt0(smndt0(xp)) = sdtasdt0(smndt0(xp),smndt0(xp))
| ~ spl27_52
| ~ spl27_88
| ~ spl27_354
| ~ spl27_363 ),
inference(forward_demodulation,[],[f4805,f4729]) ).
fof(f4805,plain,
( smndt0(smndt0(xp)) = sdtasdt0(smndt0(xp),smndt0(sz10))
| ~ spl27_363 ),
inference(avatar_component_clause,[],[f4803]) ).
fof(f5440,plain,
( ~ spl27_1
| ~ spl27_15
| spl27_380 ),
inference(avatar_split_clause,[],[f5241,f4983,f417,f347]) ).
fof(f5241,plain,
( ~ aInteger0(xp)
| ~ spl27_15
| spl27_380 ),
inference(resolution,[],[f4985,f418]) ).
fof(f4985,plain,
( ~ aInteger0(smndt0(xp))
| spl27_380 ),
inference(avatar_component_clause,[],[f4983]) ).
fof(f5379,plain,
( ~ spl27_4
| spl27_354
| ~ spl27_5
| spl27_385
| ~ spl27_100
| ~ spl27_146 ),
inference(avatar_split_clause,[],[f1286,f1243,f905,f5376,f367,f4693,f362]) ).
fof(f5376,plain,
( spl27_385
<=> sP0(sz00,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_385])]) ).
fof(f1286,plain,
( sP0(sz00,sz10)
| ~ aInteger0(sz00)
| sz00 = sz10
| ~ aInteger0(sz10)
| ~ spl27_100
| ~ spl27_146 ),
inference(superposition,[],[f906,f1245]) ).
fof(f5002,plain,
( spl27_384
| ~ spl27_4
| ~ spl27_217 ),
inference(avatar_split_clause,[],[f2066,f1993,f362,f5000]) ).
fof(f5000,plain,
( spl27_384
<=> ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sz00,sdtasdt0(sz10,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_384])]) ).
fof(f2066,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sz00,sdtasdt0(sz10,X0)) )
| ~ spl27_4
| ~ spl27_217 ),
inference(resolution,[],[f1994,f364]) ).
fof(f4998,plain,
( spl27_383
| ~ spl27_5
| ~ spl27_217 ),
inference(avatar_split_clause,[],[f2065,f1993,f367,f4996]) ).
fof(f4996,plain,
( spl27_383
<=> ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sz00,sdtasdt0(sz00,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_383])]) ).
fof(f2065,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sz00,sdtasdt0(sz00,X0)) )
| ~ spl27_5
| ~ spl27_217 ),
inference(resolution,[],[f1994,f369]) ).
fof(f4994,plain,
( spl27_382
| ~ spl27_4
| ~ spl27_216 ),
inference(avatar_split_clause,[],[f2057,f1989,f362,f4992]) ).
fof(f4992,plain,
( spl27_382
<=> ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sdtasdt0(sz10,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_382])]) ).
fof(f2057,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sdtasdt0(sz10,X0),sz00) )
| ~ spl27_4
| ~ spl27_216 ),
inference(resolution,[],[f1990,f364]) ).
fof(f4990,plain,
( spl27_378
| spl27_354
| ~ spl27_4
| spl27_379
| ~ spl27_380
| ~ spl27_381
| ~ spl27_262
| ~ spl27_349 ),
inference(avatar_split_clause,[],[f4626,f4597,f2528,f4987,f4983,f4979,f362,f4693,f4975]) ).
fof(f2528,plain,
( spl27_262
<=> smndt0(xp) = sdtasdt0(smndt0(xp),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_262])]) ).
fof(f4597,plain,
( spl27_349
<=> ! [X0,X1] :
( ~ aInteger0(sdtasdt0(X0,X1))
| ~ aInteger0(X0)
| sz00 = X0
| ~ aInteger0(X1)
| sz00 = X1
| sdteqdtlpzmzozddtrp0(sz10,xp,X1)
| ~ aDivisorOf0(sdtasdt0(X0,X1),sz10)
| sz00 = sdtasdt0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_349])]) ).
fof(f4626,plain,
( ~ aDivisorOf0(smndt0(xp),sz10)
| ~ aInteger0(smndt0(xp))
| sz00 = smndt0(xp)
| ~ aInteger0(sz10)
| sz00 = sz10
| sdteqdtlpzmzozddtrp0(sz10,xp,sz10)
| ~ spl27_262
| ~ spl27_349 ),
inference(duplicate_literal_removal,[],[f4620]) ).
fof(f4620,plain,
( ~ aDivisorOf0(smndt0(xp),sz10)
| ~ aInteger0(smndt0(xp))
| sz00 = smndt0(xp)
| ~ aInteger0(sz10)
| sz00 = sz10
| sdteqdtlpzmzozddtrp0(sz10,xp,sz10)
| ~ aInteger0(smndt0(xp))
| sz00 = smndt0(xp)
| ~ spl27_262
| ~ spl27_349 ),
inference(superposition,[],[f4598,f2530]) ).
fof(f2530,plain,
( smndt0(xp) = sdtasdt0(smndt0(xp),sz10)
| ~ spl27_262 ),
inference(avatar_component_clause,[],[f2528]) ).
fof(f4598,plain,
( ! [X0,X1] :
( ~ aDivisorOf0(sdtasdt0(X0,X1),sz10)
| ~ aInteger0(X0)
| sz00 = X0
| ~ aInteger0(X1)
| sz00 = X1
| sdteqdtlpzmzozddtrp0(sz10,xp,X1)
| ~ aInteger0(sdtasdt0(X0,X1))
| sz00 = sdtasdt0(X0,X1) )
| ~ spl27_349 ),
inference(avatar_component_clause,[],[f4597]) ).
fof(f4973,plain,
( spl27_377
| ~ spl27_5
| ~ spl27_216 ),
inference(avatar_split_clause,[],[f2056,f1989,f367,f4971]) ).
fof(f4971,plain,
( spl27_377
<=> ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sdtasdt0(sz00,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_377])]) ).
fof(f2056,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sdtasdt0(sz00,X0),sz00) )
| ~ spl27_5
| ~ spl27_216 ),
inference(resolution,[],[f1990,f369]) ).
fof(f4969,plain,
( spl27_376
| ~ spl27_4
| ~ spl27_215 ),
inference(avatar_split_clause,[],[f2048,f1985,f362,f4967]) ).
fof(f4967,plain,
( spl27_376
<=> ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(sz10,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_376])]) ).
fof(f2048,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(sz10,X0)) )
| ~ spl27_4
| ~ spl27_215 ),
inference(resolution,[],[f1986,f364]) ).
fof(f4965,plain,
( spl27_375
| ~ spl27_5
| ~ spl27_215 ),
inference(avatar_split_clause,[],[f2047,f1985,f367,f4963]) ).
fof(f4963,plain,
( spl27_375
<=> ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(sz00,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_375])]) ).
fof(f2047,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(sz00,X0)) )
| ~ spl27_5
| ~ spl27_215 ),
inference(resolution,[],[f1986,f369]) ).
fof(f4961,plain,
( spl27_374
| ~ spl27_4
| ~ spl27_214 ),
inference(avatar_split_clause,[],[f2039,f1981,f362,f4959]) ).
fof(f4959,plain,
( spl27_374
<=> ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sdtpldt0(sz10,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_374])]) ).
fof(f2039,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sdtpldt0(sz10,X0),sz00) )
| ~ spl27_4
| ~ spl27_214 ),
inference(resolution,[],[f1982,f364]) ).
fof(f4957,plain,
( spl27_373
| ~ spl27_5
| ~ spl27_214 ),
inference(avatar_split_clause,[],[f2038,f1981,f367,f4955]) ).
fof(f4955,plain,
( spl27_373
<=> ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sdtpldt0(sz00,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_373])]) ).
fof(f2038,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sdtpldt0(sz00,X0),sz00) )
| ~ spl27_5
| ~ spl27_214 ),
inference(resolution,[],[f1982,f369]) ).
fof(f4953,plain,
( spl27_372
| ~ spl27_65
| ~ spl27_194 ),
inference(avatar_split_clause,[],[f1775,f1708,f693,f4950]) ).
fof(f4950,plain,
( spl27_372
<=> smndt0(smndt0(sz10)) = sdtasdt0(sz10,smndt0(smndt0(sz10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_372])]) ).
fof(f1775,plain,
( smndt0(smndt0(sz10)) = sdtasdt0(sz10,smndt0(smndt0(sz10)))
| ~ spl27_65
| ~ spl27_194 ),
inference(resolution,[],[f1709,f694]) ).
fof(f4948,plain,
( spl27_371
| ~ spl27_65
| ~ spl27_191 ),
inference(avatar_split_clause,[],[f1765,f1687,f693,f4945]) ).
fof(f4945,plain,
( spl27_371
<=> smndt0(smndt0(sz10)) = sdtasdt0(smndt0(smndt0(sz10)),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_371])]) ).
fof(f1765,plain,
( smndt0(smndt0(sz10)) = sdtasdt0(smndt0(smndt0(sz10)),sz10)
| ~ spl27_65
| ~ spl27_191 ),
inference(resolution,[],[f1688,f694]) ).
fof(f4943,plain,
( spl27_370
| ~ spl27_65
| ~ spl27_190 ),
inference(avatar_split_clause,[],[f1755,f1683,f693,f4940]) ).
fof(f4940,plain,
( spl27_370
<=> smndt0(smndt0(sz10)) = sdtpldt0(sz00,smndt0(smndt0(sz10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_370])]) ).
fof(f1755,plain,
( smndt0(smndt0(sz10)) = sdtpldt0(sz00,smndt0(smndt0(sz10)))
| ~ spl27_65
| ~ spl27_190 ),
inference(resolution,[],[f1684,f694]) ).
fof(f4938,plain,
( spl27_369
| ~ spl27_65
| ~ spl27_189 ),
inference(avatar_split_clause,[],[f1745,f1679,f693,f4935]) ).
fof(f4935,plain,
( spl27_369
<=> smndt0(smndt0(sz10)) = sdtpldt0(smndt0(smndt0(sz10)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_369])]) ).
fof(f1745,plain,
( smndt0(smndt0(sz10)) = sdtpldt0(smndt0(smndt0(sz10)),sz00)
| ~ spl27_65
| ~ spl27_189 ),
inference(resolution,[],[f1680,f694]) ).
fof(f4933,plain,
( spl27_368
| ~ spl27_23
| ~ spl27_182 ),
inference(avatar_split_clause,[],[f1581,f1513,f450,f4931]) ).
fof(f4931,plain,
( spl27_368
<=> ! [X0] :
( aInteger0(sK15(sbsmnsldt0(X0)))
| ~ sP7(X0)
| sP2(sbsmnsldt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_368])]) ).
fof(f1581,plain,
( ! [X0] :
( aInteger0(sK15(sbsmnsldt0(X0)))
| ~ sP7(X0)
| sP2(sbsmnsldt0(X0)) )
| ~ spl27_23
| ~ spl27_182 ),
inference(resolution,[],[f1514,f451]) ).
fof(f4928,plain,
( spl27_367
| ~ spl27_23
| ~ spl27_180 ),
inference(avatar_split_clause,[],[f1555,f1504,f450,f4926]) ).
fof(f4926,plain,
( spl27_367
<=> ! [X0] :
( aInteger0(sK15(stldt0(X0)))
| ~ sP5(X0)
| sP2(stldt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_367])]) ).
fof(f1555,plain,
( ! [X0] :
( aInteger0(sK15(stldt0(X0)))
| ~ sP5(X0)
| sP2(stldt0(X0)) )
| ~ spl27_23
| ~ spl27_180 ),
inference(resolution,[],[f1505,f451]) ).
fof(f4924,plain,
( spl27_366
| ~ spl27_15
| ~ spl27_179 ),
inference(avatar_split_clause,[],[f1546,f1500,f417,f4922]) ).
fof(f1546,plain,
( ! [X0] :
( sz00 = sdtasdt0(sz00,smndt0(smndt0(X0)))
| ~ aInteger0(X0) )
| ~ spl27_15
| ~ spl27_179 ),
inference(resolution,[],[f1501,f418]) ).
fof(f4920,plain,
( spl27_365
| ~ spl27_15
| ~ spl27_178 ),
inference(avatar_split_clause,[],[f1536,f1496,f417,f4918]) ).
fof(f1536,plain,
( ! [X0] :
( sz00 = sdtasdt0(smndt0(smndt0(X0)),sz00)
| ~ aInteger0(X0) )
| ~ spl27_15
| ~ spl27_178 ),
inference(resolution,[],[f1497,f418]) ).
fof(f4814,plain,
( spl27_364
| ~ spl27_52
| ~ spl27_88
| ~ spl27_171
| ~ spl27_354
| ~ spl27_363 ),
inference(avatar_split_clause,[],[f4809,f4803,f4693,f1440,f836,f606,f4811]) ).
fof(f4809,plain,
( xp = sdtasdt0(xp,xp)
| ~ spl27_52
| ~ spl27_88
| ~ spl27_171
| ~ spl27_354
| ~ spl27_363 ),
inference(forward_demodulation,[],[f4808,f4740]) ).
fof(f4808,plain,
( smndt0(xp) = sdtasdt0(xp,xp)
| ~ spl27_52
| ~ spl27_88
| ~ spl27_171
| ~ spl27_354
| ~ spl27_363 ),
inference(forward_demodulation,[],[f4807,f4740]) ).
fof(f4806,plain,
( spl27_363
| ~ spl27_1
| ~ spl27_219 ),
inference(avatar_split_clause,[],[f2097,f2001,f347,f4803]) ).
fof(f2097,plain,
( smndt0(smndt0(xp)) = sdtasdt0(smndt0(xp),smndt0(sz10))
| ~ spl27_1
| ~ spl27_219 ),
inference(resolution,[],[f2002,f349]) ).
fof(f4800,plain,
( spl27_362
| ~ spl27_1
| ~ spl27_218 ),
inference(avatar_split_clause,[],[f2080,f1997,f347,f4797]) ).
fof(f4797,plain,
( spl27_362
<=> smndt0(smndt0(xp)) = sdtasdt0(smndt0(sz10),smndt0(xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_362])]) ).
fof(f2080,plain,
( smndt0(smndt0(xp)) = sdtasdt0(smndt0(sz10),smndt0(xp))
| ~ spl27_1
| ~ spl27_218 ),
inference(resolution,[],[f1998,f349]) ).
fof(f4793,plain,
( spl27_361
| ~ spl27_1
| ~ spl27_217 ),
inference(avatar_split_clause,[],[f2071,f1993,f347,f4791]) ).
fof(f2071,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sz00,sdtasdt0(xp,X0)) )
| ~ spl27_1
| ~ spl27_217 ),
inference(resolution,[],[f1994,f349]) ).
fof(f4787,plain,
( spl27_360
| ~ spl27_1
| ~ spl27_216 ),
inference(avatar_split_clause,[],[f2062,f1989,f347,f4785]) ).
fof(f2062,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sdtasdt0(xp,X0),sz00) )
| ~ spl27_1
| ~ spl27_216 ),
inference(resolution,[],[f1990,f349]) ).
fof(f4781,plain,
( spl27_359
| ~ spl27_1
| ~ spl27_215 ),
inference(avatar_split_clause,[],[f2053,f1985,f347,f4779]) ).
fof(f4779,plain,
( spl27_359
<=> ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(xp,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_359])]) ).
fof(f2053,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(xp,X0)) )
| ~ spl27_1
| ~ spl27_215 ),
inference(resolution,[],[f1986,f349]) ).
fof(f4775,plain,
( spl27_358
| ~ spl27_1
| ~ spl27_214 ),
inference(avatar_split_clause,[],[f2044,f1981,f347,f4773]) ).
fof(f4773,plain,
( spl27_358
<=> ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sdtpldt0(xp,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_358])]) ).
fof(f2044,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sdtpldt0(xp,X0),sz00) )
| ~ spl27_1
| ~ spl27_214 ),
inference(resolution,[],[f1982,f349]) ).
fof(f4771,plain,
( ~ spl27_357
| ~ spl27_52
| ~ spl27_88
| spl27_236
| ~ spl27_354 ),
inference(avatar_split_clause,[],[f4753,f4693,f2217,f836,f606,f4768]) ).
fof(f4768,plain,
( spl27_357
<=> xp = sdtasdt0(sK16(szAzrzSzezqlpdtcmdtrp0(xp,xp),xp),xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_357])]) ).
fof(f2217,plain,
( spl27_236
<=> sz00 = sdtasdt0(sK16(szAzrzSzezqlpdtcmdtrp0(sz10,xp),sz10),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_236])]) ).
fof(f4753,plain,
( xp != sdtasdt0(sK16(szAzrzSzezqlpdtcmdtrp0(xp,xp),xp),xp)
| ~ spl27_52
| ~ spl27_88
| spl27_236
| ~ spl27_354 ),
inference(forward_demodulation,[],[f4725,f4729]) ).
fof(f4725,plain,
( sz10 != sdtasdt0(sK16(szAzrzSzezqlpdtcmdtrp0(sz10,xp),sz10),sz10)
| spl27_236
| ~ spl27_354 ),
inference(superposition,[],[f2218,f4695]) ).
fof(f2218,plain,
( sz00 != sdtasdt0(sK16(szAzrzSzezqlpdtcmdtrp0(sz10,xp),sz10),sz00)
| spl27_236 ),
inference(avatar_component_clause,[],[f2217]) ).
fof(f4764,plain,
( spl27_356
| ~ spl27_65
| ~ spl27_187 ),
inference(avatar_split_clause,[],[f1658,f1648,f693,f4761]) ).
fof(f4761,plain,
( spl27_356
<=> sdtpldt0(smndt0(sz10),xp) = sdtpldt0(xp,smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_356])]) ).
fof(f1658,plain,
( sdtpldt0(smndt0(sz10),xp) = sdtpldt0(xp,smndt0(sz10))
| ~ spl27_65
| ~ spl27_187 ),
inference(resolution,[],[f1649,f694]) ).
fof(f4700,plain,
( spl27_354
| ~ spl27_4
| spl27_355
| ~ spl27_100
| ~ spl27_151 ),
inference(avatar_split_clause,[],[f1303,f1268,f905,f4697,f362,f4693]) ).
fof(f4697,plain,
( spl27_355
<=> sP0(sz10,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_355])]) ).
fof(f1303,plain,
( sP0(sz10,sz10)
| ~ aInteger0(sz10)
| sz00 = sz10
| ~ spl27_100
| ~ spl27_151 ),
inference(duplicate_literal_removal,[],[f1300]) ).
fof(f1300,plain,
( sP0(sz10,sz10)
| ~ aInteger0(sz10)
| sz00 = sz10
| ~ aInteger0(sz10)
| ~ spl27_100
| ~ spl27_151 ),
inference(superposition,[],[f906,f1270]) ).
fof(f4675,plain,
( spl27_353
| ~ spl27_1
| ~ spl27_206 ),
inference(avatar_split_clause,[],[f1930,f1880,f347,f4672]) ).
fof(f4672,plain,
( spl27_353
<=> sz00 = sdtpldt0(smndt0(smndt0(xp)),smndt0(xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_353])]) ).
fof(f1930,plain,
( sz00 = sdtpldt0(smndt0(smndt0(xp)),smndt0(xp))
| ~ spl27_1
| ~ spl27_206 ),
inference(resolution,[],[f1881,f349]) ).
fof(f4670,plain,
( spl27_352
| ~ spl27_1
| ~ spl27_205 ),
inference(avatar_split_clause,[],[f1920,f1876,f347,f4667]) ).
fof(f4667,plain,
( spl27_352
<=> sz00 = sdtpldt0(smndt0(xp),smndt0(smndt0(xp))) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_352])]) ).
fof(f1920,plain,
( sz00 = sdtpldt0(smndt0(xp),smndt0(smndt0(xp)))
| ~ spl27_1
| ~ spl27_205 ),
inference(resolution,[],[f1877,f349]) ).
fof(f4636,plain,
( ~ spl27_4
| ~ spl27_1
| spl27_351
| ~ spl27_142
| ~ spl27_193 ),
inference(avatar_split_clause,[],[f2978,f1701,f1202,f4634,f347,f362]) ).
fof(f4634,plain,
( spl27_351
<=> ! [X0,X1] :
( ~ aInteger0(sdtasdt0(X0,X1))
| ~ aInteger0(X0)
| sz00 = X0
| ~ aInteger0(X1)
| sz00 = X1
| sdteqdtlpzmzozddtrp0(sz10,xp,X0)
| ~ aDivisorOf0(sdtasdt0(X0,X1),sz10)
| sz00 = sdtasdt0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_351])]) ).
fof(f2978,plain,
( ! [X0,X1] :
( ~ aInteger0(sdtasdt0(X0,X1))
| sz00 = sdtasdt0(X0,X1)
| ~ aDivisorOf0(sdtasdt0(X0,X1),sz10)
| sdteqdtlpzmzozddtrp0(sz10,xp,X0)
| sz00 = X1
| ~ aInteger0(X1)
| sz00 = X0
| ~ aInteger0(X0)
| ~ aInteger0(xp)
| ~ aInteger0(sz10) )
| ~ spl27_142
| ~ spl27_193 ),
inference(resolution,[],[f1702,f1203]) ).
fof(f4603,plain,
( spl27_350
| ~ spl27_193
| ~ spl27_341 ),
inference(avatar_split_clause,[],[f4529,f4286,f1701,f4601]) ).
fof(f4601,plain,
( spl27_350
<=> ! [X0] :
( sP0(sz10,X0)
| ~ aInteger0(X0)
| sz00 = X0
| ~ aDivisorOf0(X0,sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_350])]) ).
fof(f4286,plain,
( spl27_341
<=> ! [X0] :
( sP0(sz10,X0)
| ~ sdteqdtlpzmzozddtrp0(sz10,xp,X0)
| ~ aInteger0(X0)
| sz00 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_341])]) ).
fof(f4529,plain,
( ! [X0] :
( sP0(sz10,X0)
| ~ aInteger0(X0)
| sz00 = X0
| ~ aDivisorOf0(X0,sz10) )
| ~ spl27_193
| ~ spl27_341 ),
inference(duplicate_literal_removal,[],[f4526]) ).
fof(f4526,plain,
( ! [X0] :
( sP0(sz10,X0)
| ~ aInteger0(X0)
| sz00 = X0
| ~ aInteger0(X0)
| sz00 = X0
| ~ aDivisorOf0(X0,sz10) )
| ~ spl27_193
| ~ spl27_341 ),
inference(resolution,[],[f4287,f1702]) ).
fof(f4287,plain,
( ! [X0] :
( ~ sdteqdtlpzmzozddtrp0(sz10,xp,X0)
| sP0(sz10,X0)
| ~ aInteger0(X0)
| sz00 = X0 )
| ~ spl27_341 ),
inference(avatar_component_clause,[],[f4286]) ).
fof(f4599,plain,
( ~ spl27_4
| ~ spl27_1
| spl27_349
| ~ spl27_143
| ~ spl27_193 ),
inference(avatar_split_clause,[],[f2977,f1701,f1206,f4597,f347,f362]) ).
fof(f1206,plain,
( spl27_143
<=> ! [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_143])]) ).
fof(f2977,plain,
( ! [X0,X1] :
( ~ aInteger0(sdtasdt0(X0,X1))
| sz00 = sdtasdt0(X0,X1)
| ~ aDivisorOf0(sdtasdt0(X0,X1),sz10)
| sdteqdtlpzmzozddtrp0(sz10,xp,X1)
| sz00 = X1
| ~ aInteger0(X1)
| sz00 = X0
| ~ aInteger0(X0)
| ~ aInteger0(xp)
| ~ aInteger0(sz10) )
| ~ spl27_143
| ~ spl27_193 ),
inference(resolution,[],[f1702,f1207]) ).
fof(f1207,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_143 ),
inference(avatar_component_clause,[],[f1206]) ).
fof(f4573,plain,
( spl27_348
| ~ spl27_65
| ~ spl27_179 ),
inference(avatar_split_clause,[],[f1547,f1500,f693,f4570]) ).
fof(f4570,plain,
( spl27_348
<=> sz00 = sdtasdt0(sz00,smndt0(smndt0(sz10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_348])]) ).
fof(f1547,plain,
( sz00 = sdtasdt0(sz00,smndt0(smndt0(sz10)))
| ~ spl27_65
| ~ spl27_179 ),
inference(resolution,[],[f1501,f694]) ).
fof(f4568,plain,
( spl27_347
| ~ spl27_65
| ~ spl27_178 ),
inference(avatar_split_clause,[],[f1537,f1496,f693,f4565]) ).
fof(f4565,plain,
( spl27_347
<=> sz00 = sdtasdt0(smndt0(smndt0(sz10)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_347])]) ).
fof(f1537,plain,
( sz00 = sdtasdt0(smndt0(smndt0(sz10)),sz00)
| ~ spl27_65
| ~ spl27_178 ),
inference(resolution,[],[f1497,f694]) ).
fof(f4369,plain,
( spl27_346
| ~ spl27_128
| ~ spl27_143 ),
inference(avatar_split_clause,[],[f1219,f1206,f1093,f4367]) ).
fof(f4367,plain,
( spl27_346
<=> ! [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_346])]) ).
fof(f1093,plain,
( spl27_128
<=> ! [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_128])]) ).
fof(f1219,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_128
| ~ spl27_143 ),
inference(resolution,[],[f1207,f1094]) ).
fof(f1094,plain,
( ! [X2,X0,X1] :
( sdteqdtlpzmzozddtrp0(sK24(X0,X1,X2),X1,X0)
| aElementOf0(sK24(X0,X1,X2),X2)
| sP8(X0,X1,X2)
| ~ aSet0(X2) )
| ~ spl27_128 ),
inference(avatar_component_clause,[],[f1093]) ).
fof(f4365,plain,
( spl27_345
| ~ spl27_128
| ~ spl27_142 ),
inference(avatar_split_clause,[],[f1212,f1202,f1093,f4363]) ).
fof(f1212,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_128
| ~ spl27_142 ),
inference(resolution,[],[f1203,f1094]) ).
fof(f4341,plain,
( spl27_344
| ~ spl27_103
| ~ spl27_131 ),
inference(avatar_split_clause,[],[f1121,f1105,f943,f4339]) ).
fof(f4339,plain,
( spl27_344
<=> ! [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_344])]) ).
fof(f943,plain,
( spl27_103
<=> ! [X0] :
( aDivisorOf0(sK13(X0),X0)
| smndt0(sz10) = X0
| sz10 = X0
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_103])]) ).
fof(f1105,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(f1121,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,[],[f1106,f944]) ).
fof(f944,plain,
( ! [X0] :
( aDivisorOf0(sK13(X0),X0)
| smndt0(sz10) = X0
| sz10 = X0
| ~ aInteger0(X0) )
| ~ spl27_103 ),
inference(avatar_component_clause,[],[f943]) ).
fof(f1106,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,[],[f1105]) ).
fof(f4332,plain,
( spl27_343
| ~ spl27_128
| ~ spl27_140 ),
inference(avatar_split_clause,[],[f1195,f1191,f1093,f4330]) ).
fof(f4330,plain,
( spl27_343
<=> ! [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_343])]) ).
fof(f1191,plain,
( spl27_140
<=> ! [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_140])]) ).
fof(f1195,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_128
| ~ spl27_140 ),
inference(resolution,[],[f1192,f1094]) ).
fof(f1192,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_140 ),
inference(avatar_component_clause,[],[f1191]) ).
fof(f4292,plain,
( spl27_342
| ~ spl27_124
| ~ spl27_128 ),
inference(avatar_split_clause,[],[f1118,f1093,f1050,f4290]) ).
fof(f4290,plain,
( spl27_342
<=> ! [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_342])]) ).
fof(f1050,plain,
( spl27_124
<=> ! [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_124])]) ).
fof(f1118,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_124
| ~ spl27_128 ),
inference(resolution,[],[f1094,f1051]) ).
fof(f1051,plain,
( ! [X2,X0,X1] :
( ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| sdteqdtlpzmzozddtrp0(X1,X0,X2)
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl27_124 ),
inference(avatar_component_clause,[],[f1050]) ).
fof(f4288,plain,
( ~ spl27_27
| ~ spl27_4
| ~ spl27_1
| spl27_341
| ~ spl27_7
| ~ spl27_332 ),
inference(avatar_split_clause,[],[f4123,f4016,f376,f4286,f347,f362,f466]) ).
fof(f466,plain,
( spl27_27
<=> sP1(sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_27])]) ).
fof(f4016,plain,
( spl27_332
<=> ! [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_332])]) ).
fof(f4123,plain,
( ! [X0] :
( sP0(sz10,X0)
| sz00 = X0
| ~ aInteger0(X0)
| ~ aInteger0(xp)
| ~ aInteger0(sz10)
| ~ sdteqdtlpzmzozddtrp0(sz10,xp,X0)
| ~ sP1(sz10) )
| ~ spl27_7
| ~ spl27_332 ),
inference(superposition,[],[f4017,f378]) ).
fof(f4017,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_332 ),
inference(avatar_component_clause,[],[f4016]) ).
fof(f4245,plain,
( spl27_340
| ~ spl27_57
| ~ spl27_133 ),
inference(avatar_split_clause,[],[f1142,f1113,f660,f4243]) ).
fof(f4243,plain,
( spl27_340
<=> ! [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_340])]) ).
fof(f660,plain,
( spl27_57
<=> ! [X0,X3] :
( aInteger0(sK16(X0,X3))
| ~ aElementOf0(X3,X0)
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_57])]) ).
fof(f1113,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(f1142,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_57
| ~ spl27_133 ),
inference(resolution,[],[f1114,f661]) ).
fof(f661,plain,
( ! [X3,X0] :
( aInteger0(sK16(X0,X3))
| ~ aElementOf0(X3,X0)
| ~ sP2(X0) )
| ~ spl27_57 ),
inference(avatar_component_clause,[],[f660]) ).
fof(f1114,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,[],[f1113]) ).
fof(f4223,plain,
( spl27_339
| ~ spl27_53
| ~ spl27_133 ),
inference(avatar_split_clause,[],[f1139,f1113,f611,f4221]) ).
fof(f4221,plain,
( spl27_339
<=> ! [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_339])]) ).
fof(f1139,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_53
| ~ spl27_133 ),
inference(resolution,[],[f1114,f612]) ).
fof(f4219,plain,
( spl27_338
| ~ spl27_51
| ~ spl27_133 ),
inference(avatar_split_clause,[],[f1138,f1113,f602,f4217]) ).
fof(f4217,plain,
( spl27_338
<=> ! [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_338])]) ).
fof(f1138,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_51
| ~ spl27_133 ),
inference(resolution,[],[f1114,f603]) ).
fof(f4173,plain,
( spl27_337
| ~ spl27_37
| ~ spl27_133 ),
inference(avatar_split_clause,[],[f1141,f1113,f511,f4171]) ).
fof(f4171,plain,
( spl27_337
<=> ! [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_337])]) ).
fof(f1141,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_37
| ~ spl27_133 ),
inference(resolution,[],[f1114,f512]) ).
fof(f4169,plain,
( spl27_336
| ~ spl27_57
| ~ spl27_132 ),
inference(avatar_split_clause,[],[f1133,f1109,f660,f4167]) ).
fof(f4167,plain,
( spl27_336
<=> ! [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_336])]) ).
fof(f1109,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(f1133,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_57
| ~ spl27_132 ),
inference(resolution,[],[f1110,f661]) ).
fof(f1110,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,[],[f1109]) ).
fof(f4142,plain,
( spl27_335
| ~ spl27_53
| ~ spl27_132 ),
inference(avatar_split_clause,[],[f1130,f1109,f611,f4140]) ).
fof(f4140,plain,
( spl27_335
<=> ! [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_335])]) ).
fof(f1130,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_53
| ~ spl27_132 ),
inference(resolution,[],[f1110,f612]) ).
fof(f4138,plain,
( spl27_334
| ~ spl27_51
| ~ spl27_132 ),
inference(avatar_split_clause,[],[f1129,f1109,f602,f4136]) ).
fof(f4136,plain,
( spl27_334
<=> ! [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_334])]) ).
fof(f1129,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_51
| ~ spl27_132 ),
inference(resolution,[],[f1110,f603]) ).
fof(f4022,plain,
( spl27_333
| ~ spl27_37
| ~ spl27_132 ),
inference(avatar_split_clause,[],[f1132,f1109,f511,f4020]) ).
fof(f4020,plain,
( spl27_333
<=> ! [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_333])]) ).
fof(f1132,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_37
| ~ spl27_132 ),
inference(resolution,[],[f1110,f512]) ).
fof(f4018,plain,
( spl27_332
| ~ spl27_43
| ~ spl27_129 ),
inference(avatar_split_clause,[],[f1119,f1097,f570,f4016]) ).
fof(f570,plain,
( spl27_43
<=> ! [X0,X1] :
( sP0(X0,X1)
| ~ aDivisorOf0(X1,X0)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_43])]) ).
fof(f1097,plain,
( spl27_129
<=> ! [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_129])]) ).
fof(f1119,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_129 ),
inference(resolution,[],[f1098,f571]) ).
fof(f571,plain,
( ! [X0,X1] :
( ~ aDivisorOf0(X1,X0)
| sP0(X0,X1)
| ~ sP1(X0) )
| ~ spl27_43 ),
inference(avatar_component_clause,[],[f570]) ).
fof(f1098,plain,
( ! [X2,X0,X1] :
( aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1)))
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl27_129 ),
inference(avatar_component_clause,[],[f1097]) ).
fof(f4014,plain,
( spl27_331
| ~ spl27_57
| ~ spl27_126 ),
inference(avatar_split_clause,[],[f1087,f1061,f660,f4012]) ).
fof(f4012,plain,
( spl27_331
<=> ! [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_331])]) ).
fof(f1061,plain,
( spl27_126
<=> ! [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_126])]) ).
fof(f1087,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_57
| ~ spl27_126 ),
inference(resolution,[],[f1062,f661]) ).
fof(f1062,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X2)
| sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X0,X1),X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl27_126 ),
inference(avatar_component_clause,[],[f1061]) ).
fof(f4010,plain,
( spl27_330
| ~ spl27_57
| ~ spl27_125 ),
inference(avatar_split_clause,[],[f1078,f1054,f660,f4008]) ).
fof(f4008,plain,
( spl27_330
<=> ! [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_330])]) ).
fof(f1054,plain,
( spl27_125
<=> ! [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_125])]) ).
fof(f1078,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_57
| ~ spl27_125 ),
inference(resolution,[],[f1055,f661]) ).
fof(f1055,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X2)
| sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl27_125 ),
inference(avatar_component_clause,[],[f1054]) ).
fof(f3970,plain,
( spl27_329
| ~ spl27_53
| ~ spl27_126 ),
inference(avatar_split_clause,[],[f1084,f1061,f611,f3968]) ).
fof(f3968,plain,
( spl27_329
<=> ! [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_329])]) ).
fof(f1084,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_53
| ~ spl27_126 ),
inference(resolution,[],[f1062,f612]) ).
fof(f3950,plain,
( spl27_8
| ~ spl27_65
| ~ spl27_85
| ~ spl27_162
| ~ spl27_285 ),
inference(avatar_split_clause,[],[f3898,f2966,f1364,f817,f693,f381]) ).
fof(f2966,plain,
( spl27_285
<=> ! [X0] :
( sdtpldt0(X0,sz10) = sdtpldt0(sdtpldt0(X0,sz10),xp)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_285])]) ).
fof(f3898,plain,
( sz00 = xp
| ~ spl27_65
| ~ spl27_85
| ~ spl27_162
| ~ spl27_285 ),
inference(forward_demodulation,[],[f3897,f819]) ).
fof(f3897,plain,
( sz00 = sdtpldt0(sz00,xp)
| ~ spl27_65
| ~ spl27_162
| ~ spl27_285 ),
inference(forward_demodulation,[],[f3890,f1366]) ).
fof(f3890,plain,
( sdtpldt0(smndt0(sz10),sz10) = sdtpldt0(sdtpldt0(smndt0(sz10),sz10),xp)
| ~ spl27_65
| ~ spl27_285 ),
inference(resolution,[],[f2967,f694]) ).
fof(f2967,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sz10) = sdtpldt0(sdtpldt0(X0,sz10),xp) )
| ~ spl27_285 ),
inference(avatar_component_clause,[],[f2966]) ).
fof(f3949,plain,
( spl27_328
| ~ spl27_51
| ~ spl27_126 ),
inference(avatar_split_clause,[],[f1083,f1061,f602,f3947]) ).
fof(f3947,plain,
( spl27_328
<=> ! [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_328])]) ).
fof(f1083,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_51
| ~ spl27_126 ),
inference(resolution,[],[f1062,f603]) ).
fof(f3945,plain,
( spl27_327
| ~ spl27_53
| ~ spl27_125 ),
inference(avatar_split_clause,[],[f1075,f1054,f611,f3943]) ).
fof(f3943,plain,
( spl27_327
<=> ! [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_327])]) ).
fof(f1075,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_53
| ~ spl27_125 ),
inference(resolution,[],[f1055,f612]) ).
fof(f3941,plain,
( spl27_326
| ~ spl27_51
| ~ spl27_125 ),
inference(avatar_split_clause,[],[f1074,f1054,f602,f3939]) ).
fof(f3939,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(f1074,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_51
| ~ spl27_125 ),
inference(resolution,[],[f1055,f603]) ).
fof(f3921,plain,
( spl27_325
| ~ spl27_15
| ~ spl27_133 ),
inference(avatar_split_clause,[],[f1136,f1113,f417,f3919]) ).
fof(f3919,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(f1136,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_15
| ~ spl27_133 ),
inference(resolution,[],[f1114,f418]) ).
fof(f3917,plain,
( spl27_324
| ~ spl27_37
| ~ spl27_126 ),
inference(avatar_split_clause,[],[f1086,f1061,f511,f3915]) ).
fof(f3915,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(f1086,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_37
| ~ spl27_126 ),
inference(resolution,[],[f1062,f512]) ).
fof(f3913,plain,
( spl27_323
| ~ spl27_37
| ~ spl27_125 ),
inference(avatar_split_clause,[],[f1077,f1054,f511,f3911]) ).
fof(f3911,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(f1077,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_37
| ~ spl27_125 ),
inference(resolution,[],[f1055,f512]) ).
fof(f3886,plain,
( spl27_322
| ~ spl27_15
| ~ spl27_132 ),
inference(avatar_split_clause,[],[f1127,f1109,f417,f3884]) ).
fof(f3884,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(f1127,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_15
| ~ spl27_132 ),
inference(resolution,[],[f1110,f418]) ).
fof(f3855,plain,
( spl27_321
| ~ spl27_105
| ~ spl27_134 ),
inference(avatar_split_clause,[],[f1158,f1144,f953,f3853]) ).
fof(f3853,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(f953,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(f1144,plain,
( spl27_134
<=> ! [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_134])]) ).
fof(f1158,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_134 ),
inference(duplicate_literal_removal,[],[f1153]) ).
fof(f1153,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_134 ),
inference(resolution,[],[f1145,f954]) ).
fof(f954,plain,
( ! [X0,X1] :
( aElementOf0(sK20(X0,X1),X0)
| aElementOf0(sK19(X0,X1),X1)
| sP6(X0,X1) )
| ~ spl27_105 ),
inference(avatar_component_clause,[],[f953]) ).
fof(f1145,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_134 ),
inference(avatar_component_clause,[],[f1144]) ).
fof(f3851,plain,
( spl27_320
| ~ spl27_65
| ~ spl27_133 ),
inference(avatar_split_clause,[],[f1137,f1113,f693,f3849]) ).
fof(f3849,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(f1137,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),smndt0(sz10)) = sdtpldt0(sdtasdt0(X0,smndt0(sz10)),sdtasdt0(X1,smndt0(sz10)))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl27_65
| ~ spl27_133 ),
inference(resolution,[],[f1114,f694]) ).
fof(f3782,plain,
( spl27_6
| ~ spl27_192
| ~ spl27_227 ),
inference(avatar_split_clause,[],[f2090,f2086,f1691,f372]) ).
fof(f1691,plain,
( spl27_192
<=> sz10 = sdtpldt0(xp,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_192])]) ).
fof(f2086,plain,
( spl27_227
<=> sdtpldt0(sz10,xp) = sdtpldt0(xp,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_227])]) ).
fof(f2090,plain,
( sz10 = sdtpldt0(sz10,xp)
| ~ spl27_192
| ~ spl27_227 ),
inference(forward_demodulation,[],[f2088,f1693]) ).
fof(f1693,plain,
( sz10 = sdtpldt0(xp,sz10)
| ~ spl27_192 ),
inference(avatar_component_clause,[],[f1691]) ).
fof(f2088,plain,
( sdtpldt0(sz10,xp) = sdtpldt0(xp,sz10)
| ~ spl27_227 ),
inference(avatar_component_clause,[],[f2086]) ).
fof(f3781,plain,
( spl27_319
| ~ spl27_65
| ~ spl27_132 ),
inference(avatar_split_clause,[],[f1128,f1109,f693,f3779]) ).
fof(f3779,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(f1128,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,smndt0(sz10))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,smndt0(sz10)))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl27_65
| ~ spl27_132 ),
inference(resolution,[],[f1110,f694]) ).
fof(f3777,plain,
( spl27_318
| ~ spl27_15
| ~ spl27_126 ),
inference(avatar_split_clause,[],[f1081,f1061,f417,f3775]) ).
fof(f3775,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(f1081,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,smndt0(X2))) = sdtasdt0(sdtasdt0(X0,X1),smndt0(X2))
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(X2) )
| ~ spl27_15
| ~ spl27_126 ),
inference(resolution,[],[f1062,f418]) ).
fof(f3773,plain,
( spl27_317
| ~ spl27_15
| ~ spl27_125 ),
inference(avatar_split_clause,[],[f1072,f1054,f417,f3771]) ).
fof(f3771,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(f1072,plain,
( ! [X2,X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,smndt0(X2))) = sdtpldt0(sdtpldt0(X0,X1),smndt0(X2))
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(X2) )
| ~ spl27_15
| ~ spl27_125 ),
inference(resolution,[],[f1055,f418]) ).
fof(f3769,plain,
( spl27_316
| ~ spl27_101
| ~ spl27_116 ),
inference(avatar_split_clause,[],[f1023,f1008,f909,f3767]) ).
fof(f3767,plain,
( spl27_316
<=> ! [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_316])]) ).
fof(f909,plain,
( spl27_101
<=> ! [X0,X1] :
( sP10(X1,X0,sdtslmnbsdt0(X0,X1))
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_101])]) ).
fof(f1008,plain,
( spl27_116
<=> ! [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_116])]) ).
fof(f1023,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ aElementOf0(X0,X2)
| ~ aInteger0(X0)
| aElementOf0(X0,sdtslmnbsdt0(X2,X1))
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395) )
| ~ spl27_101
| ~ spl27_116 ),
inference(resolution,[],[f1009,f910]) ).
fof(f910,plain,
( ! [X0,X1] :
( sP10(X1,X0,sdtslmnbsdt0(X0,X1))
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) )
| ~ spl27_101 ),
inference(avatar_component_clause,[],[f909]) ).
fof(f1009,plain,
( ! [X2,X0,X1,X4] :
( ~ sP10(X0,X1,X2)
| ~ aElementOf0(X4,X0)
| ~ aElementOf0(X4,X1)
| ~ aInteger0(X4)
| aElementOf0(X4,X2) )
| ~ spl27_116 ),
inference(avatar_component_clause,[],[f1008]) ).
fof(f3680,plain,
( spl27_315
| ~ spl27_68
| ~ spl27_100 ),
inference(avatar_split_clause,[],[f932,f905,f748,f3678]) ).
fof(f3678,plain,
( spl27_315
<=> ! [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_315])]) ).
fof(f748,plain,
( spl27_68
<=> ! [X0,X1] :
( sdtasdt0(X1,sK14(X0,X1)) = X0
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_68])]) ).
fof(f932,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| sz00 = X1
| ~ aInteger0(X1)
| sdtasdt0(X1,X0) = sdtasdt0(X1,sK14(sdtasdt0(X1,X0),X1)) )
| ~ spl27_68
| ~ spl27_100 ),
inference(resolution,[],[f906,f749]) ).
fof(f749,plain,
( ! [X0,X1] :
( ~ sP0(X0,X1)
| sdtasdt0(X1,sK14(X0,X1)) = X0 )
| ~ spl27_68 ),
inference(avatar_component_clause,[],[f748]) ).
fof(f3676,plain,
( spl27_314
| ~ spl27_57
| ~ spl27_87 ),
inference(avatar_split_clause,[],[f858,f826,f660,f3674]) ).
fof(f3674,plain,
( spl27_314
<=> ! [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_314])]) ).
fof(f826,plain,
( spl27_87
<=> ! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_87])]) ).
fof(f858,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sK16(X1,X2)) = sdtasdt0(sK16(X1,X2),X0)
| ~ aInteger0(X0)
| ~ aElementOf0(X2,X1)
| ~ sP2(X1) )
| ~ spl27_57
| ~ spl27_87 ),
inference(resolution,[],[f827,f661]) ).
fof(f827,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aInteger0(X0) )
| ~ spl27_87 ),
inference(avatar_component_clause,[],[f826]) ).
fof(f3672,plain,
( spl27_313
| ~ spl27_57
| ~ spl27_86 ),
inference(avatar_split_clause,[],[f849,f822,f660,f3670]) ).
fof(f3670,plain,
( spl27_313
<=> ! [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_313])]) ).
fof(f822,plain,
( spl27_86
<=> ! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_86])]) ).
fof(f849,plain,
( ! [X2,X0,X1] :
( sdtpldt0(X0,sK16(X1,X2)) = sdtpldt0(sK16(X1,X2),X0)
| ~ aInteger0(X0)
| ~ aElementOf0(X2,X1)
| ~ sP2(X1) )
| ~ spl27_57
| ~ spl27_86 ),
inference(resolution,[],[f823,f661]) ).
fof(f823,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aInteger0(X0) )
| ~ spl27_86 ),
inference(avatar_component_clause,[],[f822]) ).
fof(f3519,plain,
( ~ spl27_4
| ~ spl27_1
| spl27_312
| ~ spl27_140
| ~ spl27_193 ),
inference(avatar_split_clause,[],[f2980,f1701,f1191,f3517,f347,f362]) ).
fof(f3517,plain,
( spl27_312
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ sdteqdtlpzmzozddtrp0(X1,sz10,X0)
| sdteqdtlpzmzozddtrp0(X1,xp,X0)
| ~ aDivisorOf0(X0,sz10)
| sz00 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_312])]) ).
fof(f2980,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| sz00 = X0
| ~ aDivisorOf0(X0,sz10)
| sdteqdtlpzmzozddtrp0(X1,xp,X0)
| ~ sdteqdtlpzmzozddtrp0(X1,sz10,X0)
| ~ aInteger0(xp)
| ~ aInteger0(sz10)
| ~ aInteger0(X1) )
| ~ spl27_140
| ~ spl27_193 ),
inference(duplicate_literal_removal,[],[f2975]) ).
fof(f2975,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| sz00 = X0
| ~ aDivisorOf0(X0,sz10)
| sdteqdtlpzmzozddtrp0(X1,xp,X0)
| ~ sdteqdtlpzmzozddtrp0(X1,sz10,X0)
| ~ aInteger0(xp)
| sz00 = X0
| ~ aInteger0(X0)
| ~ aInteger0(sz10)
| ~ aInteger0(X1) )
| ~ spl27_140
| ~ spl27_193 ),
inference(resolution,[],[f1702,f1192]) ).
fof(f3488,plain,
( spl27_311
| ~ spl27_4
| ~ spl27_133 ),
inference(avatar_split_clause,[],[f1135,f1113,f362,f3486]) ).
fof(f3486,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(f1135,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X1,sz10))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl27_4
| ~ spl27_133 ),
inference(resolution,[],[f1114,f364]) ).
fof(f3484,plain,
( spl27_310
| ~ spl27_5
| ~ spl27_133 ),
inference(avatar_split_clause,[],[f1134,f1113,f367,f3482]) ).
fof(f3482,plain,
( spl27_310
<=> ! [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_310])]) ).
fof(f1134,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X1,sz00))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl27_5
| ~ spl27_133 ),
inference(resolution,[],[f1114,f369]) ).
fof(f3480,plain,
( spl27_309
| ~ spl27_4
| ~ spl27_132 ),
inference(avatar_split_clause,[],[f1126,f1109,f362,f3478]) ).
fof(f3478,plain,
( spl27_309
<=> ! [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_309])]) ).
fof(f1126,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sz10)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz10))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl27_4
| ~ spl27_132 ),
inference(resolution,[],[f1110,f364]) ).
fof(f3476,plain,
( spl27_308
| ~ spl27_5
| ~ spl27_132 ),
inference(avatar_split_clause,[],[f1125,f1109,f367,f3474]) ).
fof(f3474,plain,
( spl27_308
<=> ! [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_308])]) ).
fof(f1125,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sz00)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz00))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl27_5
| ~ spl27_132 ),
inference(resolution,[],[f1110,f369]) ).
fof(f3472,plain,
( spl27_307
| ~ spl27_65
| ~ spl27_126 ),
inference(avatar_split_clause,[],[f1082,f1061,f693,f3470]) ).
fof(f1082,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),smndt0(sz10)) = sdtasdt0(X0,sdtasdt0(X1,smndt0(sz10)))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl27_65
| ~ spl27_126 ),
inference(resolution,[],[f1062,f694]) ).
fof(f3468,plain,
( spl27_306
| ~ spl27_65
| ~ spl27_125 ),
inference(avatar_split_clause,[],[f1073,f1054,f693,f3466]) ).
fof(f1073,plain,
( ! [X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,smndt0(sz10))) = sdtpldt0(sdtpldt0(X0,X1),smndt0(sz10))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl27_65
| ~ spl27_125 ),
inference(resolution,[],[f1055,f694]) ).
fof(f3464,plain,
( spl27_305
| ~ spl27_102
| ~ spl27_107 ),
inference(avatar_split_clause,[],[f971,f961,f913,f3462]) ).
fof(f3462,plain,
( spl27_305
<=> ! [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_305])]) ).
fof(f913,plain,
( spl27_102
<=> ! [X0,X1] :
( sP11(X1,X0,sdtbsmnsldt0(X0,X1))
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_102])]) ).
fof(f961,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(f971,plain,
( ! [X2,X0,X1] :
( aElementOf0(X0,X1)
| ~ aElementOf0(X0,sdtbsmnsldt0(X1,X2))
| aElementOf0(X0,X2)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X1,cS1395) )
| ~ spl27_102
| ~ spl27_107 ),
inference(resolution,[],[f962,f914]) ).
fof(f914,plain,
( ! [X0,X1] :
( sP11(X1,X0,sdtbsmnsldt0(X0,X1))
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) )
| ~ spl27_102 ),
inference(avatar_component_clause,[],[f913]) ).
fof(f962,plain,
( ! [X2,X0,X1,X4] :
( ~ sP11(X0,X1,X2)
| aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| aElementOf0(X4,X0) )
| ~ spl27_107 ),
inference(avatar_component_clause,[],[f961]) ).
fof(f3454,plain,
( spl27_304
| ~ spl27_76
| ~ spl27_92 ),
inference(avatar_split_clause,[],[f921,f872,f781,f3452]) ).
fof(f3452,plain,
( spl27_304
<=> ! [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_304])]) ).
fof(f781,plain,
( spl27_76
<=> ! [X0,X1,X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_76])]) ).
fof(f872,plain,
( spl27_92
<=> ! [X0,X3] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X3,sK16(X0,X3)),X0)
| ~ aElementOf0(X3,X0)
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_92])]) ).
fof(f921,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP2(X1)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,sK16(X1,X0)))
| aElementOf0(X2,X1)
| ~ aSet0(X1) )
| ~ spl27_76
| ~ spl27_92 ),
inference(resolution,[],[f873,f782]) ).
fof(f782,plain,
( ! [X3,X0,X1] :
( ~ aSubsetOf0(X1,X0)
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X0)
| ~ aSet0(X0) )
| ~ spl27_76 ),
inference(avatar_component_clause,[],[f781]) ).
fof(f873,plain,
( ! [X3,X0] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X3,sK16(X0,X3)),X0)
| ~ aElementOf0(X3,X0)
| ~ sP2(X0) )
| ~ spl27_92 ),
inference(avatar_component_clause,[],[f872]) ).
fof(f3450,plain,
( spl27_303
| ~ spl27_53
| ~ spl27_87 ),
inference(avatar_split_clause,[],[f855,f826,f611,f3448]) ).
fof(f3448,plain,
( spl27_303
<=> ! [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_303])]) ).
fof(f855,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X1,X2),X0)
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) )
| ~ spl27_53
| ~ spl27_87 ),
inference(resolution,[],[f827,f612]) ).
fof(f3446,plain,
( spl27_302
| ~ spl27_51
| ~ spl27_87 ),
inference(avatar_split_clause,[],[f854,f826,f602,f3444]) ).
fof(f3444,plain,
( spl27_302
<=> ! [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_302])]) ).
fof(f854,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtasdt0(sdtpldt0(X1,X2),X0)
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) )
| ~ spl27_51
| ~ spl27_87 ),
inference(resolution,[],[f827,f603]) ).
fof(f3442,plain,
( spl27_301
| ~ spl27_53
| ~ spl27_86 ),
inference(avatar_split_clause,[],[f846,f822,f611,f3440]) ).
fof(f3440,plain,
( spl27_301
<=> ! [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_301])]) ).
fof(f846,plain,
( ! [X2,X0,X1] :
( sdtpldt0(X0,sdtasdt0(X1,X2)) = sdtpldt0(sdtasdt0(X1,X2),X0)
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) )
| ~ spl27_53
| ~ spl27_86 ),
inference(resolution,[],[f823,f612]) ).
fof(f3438,plain,
( spl27_300
| ~ spl27_51
| ~ spl27_86 ),
inference(avatar_split_clause,[],[f845,f822,f602,f3436]) ).
fof(f3436,plain,
( spl27_300
<=> ! [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_300])]) ).
fof(f845,plain,
( ! [X2,X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X1,X2),X0)
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) )
| ~ spl27_51
| ~ spl27_86 ),
inference(resolution,[],[f823,f603]) ).
fof(f3410,plain,
( spl27_299
| ~ spl27_1
| ~ spl27_133 ),
inference(avatar_split_clause,[],[f1140,f1113,f347,f3408]) ).
fof(f1140,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xp) = sdtpldt0(sdtasdt0(X0,xp),sdtasdt0(X1,xp))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl27_1
| ~ spl27_133 ),
inference(resolution,[],[f1114,f349]) ).
fof(f3406,plain,
( spl27_298
| ~ spl27_1
| ~ spl27_132 ),
inference(avatar_split_clause,[],[f1131,f1109,f347,f3404]) ).
fof(f1131,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xp)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xp))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl27_1
| ~ spl27_132 ),
inference(resolution,[],[f1110,f349]) ).
fof(f3355,plain,
( ~ spl27_4
| ~ spl27_1
| spl27_297
| ~ spl27_124
| ~ spl27_193 ),
inference(avatar_split_clause,[],[f2979,f1701,f1050,f3353,f347,f362]) ).
fof(f3353,plain,
( spl27_297
<=> ! [X0] :
( ~ aInteger0(X0)
| sdteqdtlpzmzozddtrp0(xp,sz10,X0)
| ~ aDivisorOf0(X0,sz10)
| sz00 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_297])]) ).
fof(f2979,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = X0
| ~ aDivisorOf0(X0,sz10)
| sdteqdtlpzmzozddtrp0(xp,sz10,X0)
| ~ aInteger0(xp)
| ~ aInteger0(sz10) )
| ~ spl27_124
| ~ spl27_193 ),
inference(duplicate_literal_removal,[],[f2976]) ).
fof(f2976,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = X0
| ~ aDivisorOf0(X0,sz10)
| sdteqdtlpzmzozddtrp0(xp,sz10,X0)
| sz00 = X0
| ~ aInteger0(X0)
| ~ aInteger0(xp)
| ~ aInteger0(sz10) )
| ~ spl27_124
| ~ spl27_193 ),
inference(resolution,[],[f1702,f1051]) ).
fof(f3121,plain,
( spl27_296
| ~ spl27_138 ),
inference(avatar_split_clause,[],[f1183,f1172,f3119]) ).
fof(f3119,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(f1172,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(f1183,plain,
( ! [X4,X5] :
( aElementOf0(sK26(X4,X4,X5),X5)
| aElementOf0(sK26(X4,X4,X5),X4)
| sP11(X4,X4,X5) )
| ~ spl27_138 ),
inference(factoring,[],[f1173]) ).
fof(f1173,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,[],[f1172]) ).
fof(f3117,plain,
( spl27_295
| ~ spl27_138 ),
inference(avatar_split_clause,[],[f1182,f1172,f3115]) ).
fof(f3115,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(f1182,plain,
( ! [X2,X3] :
( aElementOf0(sK26(X2,X3,X2),X2)
| aElementOf0(sK26(X2,X3,X2),X3)
| sP11(X2,X3,X2) )
| ~ spl27_138 ),
inference(factoring,[],[f1173]) ).
fof(f3113,plain,
( spl27_294
| ~ spl27_138 ),
inference(avatar_split_clause,[],[f1181,f1172,f3111]) ).
fof(f1181,plain,
( ! [X0,X1] :
( aElementOf0(sK26(X0,X1,X1),X1)
| aElementOf0(sK26(X0,X1,X1),X0)
| sP11(X0,X1,X1) )
| ~ spl27_138 ),
inference(factoring,[],[f1173]) ).
fof(f3109,plain,
( spl27_293
| ~ spl27_98
| ~ spl27_102 ),
inference(avatar_split_clause,[],[f940,f913,f897,f3107]) ).
fof(f3107,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(f897,plain,
( spl27_98
<=> ! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElementOf0(X4,X1)
| ~ aInteger0(X4)
| ~ sP11(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_98])]) ).
fof(f940,plain,
( ! [X2,X0,X1] :
( ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| ~ aElementOf0(X2,X1)
| ~ aInteger0(X2)
| aElementOf0(X2,sdtbsmnsldt0(X1,X0)) )
| ~ spl27_98
| ~ spl27_102 ),
inference(resolution,[],[f914,f898]) ).
fof(f898,plain,
( ! [X2,X0,X1,X4] :
( ~ sP11(X0,X1,X2)
| ~ aElementOf0(X4,X1)
| ~ aInteger0(X4)
| aElementOf0(X4,X2) )
| ~ spl27_98 ),
inference(avatar_component_clause,[],[f897]) ).
fof(f3105,plain,
( spl27_292
| ~ spl27_99
| ~ spl27_102 ),
inference(avatar_split_clause,[],[f939,f913,f901,f3103]) ).
fof(f3103,plain,
( spl27_292
<=> ! [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_292])]) ).
fof(f901,plain,
( spl27_99
<=> ! [X4,X0,X2,X1] :
( aElementOf0(X4,X2)
| ~ aElementOf0(X4,X0)
| ~ aInteger0(X4)
| ~ sP11(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_99])]) ).
fof(f939,plain,
( ! [X2,X0,X1] :
( ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| ~ aElementOf0(X2,X0)
| ~ aInteger0(X2)
| aElementOf0(X2,sdtbsmnsldt0(X1,X0)) )
| ~ spl27_99
| ~ spl27_102 ),
inference(resolution,[],[f914,f902]) ).
fof(f902,plain,
( ! [X2,X0,X1,X4] :
( ~ sP11(X0,X1,X2)
| ~ aElementOf0(X4,X0)
| ~ aInteger0(X4)
| aElementOf0(X4,X2) )
| ~ spl27_99 ),
inference(avatar_component_clause,[],[f901]) ).
fof(f3101,plain,
( spl27_291
| ~ spl27_44
| ~ spl27_100 ),
inference(avatar_split_clause,[],[f933,f905,f574,f3099]) ).
fof(f574,plain,
( spl27_44
<=> ! [X0,X1] :
( aDivisorOf0(X1,X0)
| ~ sP0(X0,X1)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_44])]) ).
fof(f933,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| sz00 = X1
| ~ aInteger0(X1)
| aDivisorOf0(X1,sdtasdt0(X1,X0))
| ~ sP1(sdtasdt0(X1,X0)) )
| ~ spl27_44
| ~ spl27_100 ),
inference(resolution,[],[f906,f575]) ).
fof(f575,plain,
( ! [X0,X1] :
( ~ sP0(X0,X1)
| aDivisorOf0(X1,X0)
| ~ sP1(X0) )
| ~ spl27_44 ),
inference(avatar_component_clause,[],[f574]) ).
fof(f3097,plain,
( spl27_290
| ~ spl27_45
| ~ spl27_95 ),
inference(avatar_split_clause,[],[f924,f884,f578,f3095]) ).
fof(f3095,plain,
( spl27_290
<=> ! [X0,X1] :
( sz00 = X0
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ isClosed0(szAzrzSzezqlpdtcmdtrp0(X1,X0))
| isOpen0(stldt0(szAzrzSzezqlpdtcmdtrp0(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_290])]) ).
fof(f578,plain,
( spl27_45
<=> ! [X0] :
( isOpen0(stldt0(X0))
| ~ isClosed0(X0)
| ~ aSubsetOf0(X0,cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_45])]) ).
fof(f884,plain,
( spl27_95
<=> ! [X0,X1] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),cS1395)
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_95])]) ).
fof(f924,plain,
( ! [X0,X1] :
( sz00 = X0
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ isClosed0(szAzrzSzezqlpdtcmdtrp0(X1,X0))
| isOpen0(stldt0(szAzrzSzezqlpdtcmdtrp0(X1,X0))) )
| ~ spl27_45
| ~ spl27_95 ),
inference(resolution,[],[f885,f579]) ).
fof(f579,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,cS1395)
| ~ isClosed0(X0)
| isOpen0(stldt0(X0)) )
| ~ spl27_45 ),
inference(avatar_component_clause,[],[f578]) ).
fof(f885,plain,
( ! [X0,X1] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),cS1395)
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl27_95 ),
inference(avatar_component_clause,[],[f884]) ).
fof(f3093,plain,
( spl27_289
| ~ spl27_37
| ~ spl27_87 ),
inference(avatar_split_clause,[],[f857,f826,f511,f3091]) ).
fof(f3091,plain,
( spl27_289
<=> ! [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_289])]) ).
fof(f857,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sK14(X1,X2)) = sdtasdt0(sK14(X1,X2),X0)
| ~ aInteger0(X0)
| ~ sP0(X1,X2) )
| ~ spl27_37
| ~ spl27_87 ),
inference(resolution,[],[f827,f512]) ).
fof(f3089,plain,
( spl27_288
| ~ spl27_37
| ~ spl27_86 ),
inference(avatar_split_clause,[],[f848,f822,f511,f3087]) ).
fof(f3087,plain,
( spl27_288
<=> ! [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_288])]) ).
fof(f848,plain,
( ! [X2,X0,X1] :
( sdtpldt0(X0,sK14(X1,X2)) = sdtpldt0(sK14(X1,X2),X0)
| ~ aInteger0(X0)
| ~ sP0(X1,X2) )
| ~ spl27_37
| ~ spl27_86 ),
inference(resolution,[],[f823,f512]) ).
fof(f3085,plain,
( spl27_287
| ~ spl27_56
| ~ spl27_57 ),
inference(avatar_split_clause,[],[f729,f660,f656,f3083]) ).
fof(f3083,plain,
( spl27_287
<=> ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP2(X1)
| smndt0(sK16(X1,X0)) = sdtasdt0(sK16(X1,X0),smndt0(sz10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_287])]) ).
fof(f656,plain,
( spl27_56
<=> ! [X0] :
( smndt0(X0) = sdtasdt0(X0,smndt0(sz10))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_56])]) ).
fof(f729,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP2(X1)
| smndt0(sK16(X1,X0)) = sdtasdt0(sK16(X1,X0),smndt0(sz10)) )
| ~ spl27_56
| ~ spl27_57 ),
inference(resolution,[],[f661,f657]) ).
fof(f657,plain,
( ! [X0] :
( ~ aInteger0(X0)
| smndt0(X0) = sdtasdt0(X0,smndt0(sz10)) )
| ~ spl27_56 ),
inference(avatar_component_clause,[],[f656]) ).
fof(f3081,plain,
( spl27_6
| ~ spl27_192
| ~ spl27_227 ),
inference(avatar_split_clause,[],[f2090,f2086,f1691,f372]) ).
fof(f3080,plain,
( spl27_286
| ~ spl27_55
| ~ spl27_57 ),
inference(avatar_split_clause,[],[f728,f660,f652,f3078]) ).
fof(f3078,plain,
( spl27_286
<=> ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP2(X1)
| smndt0(sK16(X1,X0)) = sdtasdt0(smndt0(sz10),sK16(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_286])]) ).
fof(f652,plain,
( spl27_55
<=> ! [X0] :
( smndt0(X0) = sdtasdt0(smndt0(sz10),X0)
| ~ 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(smndt0(sz10),sK16(X1,X0)) )
| ~ spl27_55
| ~ spl27_57 ),
inference(resolution,[],[f661,f653]) ).
fof(f653,plain,
( ! [X0] :
( ~ aInteger0(X0)
| smndt0(X0) = sdtasdt0(smndt0(sz10),X0) )
| ~ spl27_55 ),
inference(avatar_component_clause,[],[f652]) ).
fof(f2968,plain,
( spl27_285
| ~ spl27_4
| ~ spl27_6
| ~ spl27_272 ),
inference(avatar_split_clause,[],[f2841,f2824,f372,f362,f2966]) ).
fof(f2841,plain,
( ! [X0] :
( sdtpldt0(X0,sz10) = sdtpldt0(sdtpldt0(X0,sz10),xp)
| ~ aInteger0(X0) )
| ~ spl27_4
| ~ spl27_6
| ~ spl27_272 ),
inference(forward_demodulation,[],[f2832,f374]) ).
fof(f374,plain,
( sz10 = sdtpldt0(sz10,xp)
| ~ spl27_6 ),
inference(avatar_component_clause,[],[f372]) ).
fof(f2898,plain,
( spl27_284
| ~ spl27_4
| ~ spl27_126 ),
inference(avatar_split_clause,[],[f1080,f1061,f362,f2896]) ).
fof(f1080,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sz10) = sdtasdt0(X0,sdtasdt0(X1,sz10))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl27_4
| ~ spl27_126 ),
inference(resolution,[],[f1062,f364]) ).
fof(f2894,plain,
( spl27_283
| ~ spl27_5
| ~ spl27_126 ),
inference(avatar_split_clause,[],[f1079,f1061,f367,f2892]) ).
fof(f1079,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sz00) = sdtasdt0(X0,sdtasdt0(X1,sz00))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl27_5
| ~ spl27_126 ),
inference(resolution,[],[f1062,f369]) ).
fof(f2890,plain,
( spl27_282
| ~ spl27_4
| ~ spl27_125 ),
inference(avatar_split_clause,[],[f1071,f1054,f362,f2888]) ).
fof(f1071,plain,
( ! [X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,sz10)) = sdtpldt0(sdtpldt0(X0,X1),sz10)
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl27_4
| ~ spl27_125 ),
inference(resolution,[],[f1055,f364]) ).
fof(f2886,plain,
( spl27_281
| ~ spl27_5
| ~ spl27_125 ),
inference(avatar_split_clause,[],[f1070,f1054,f367,f2884]) ).
fof(f1070,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(X0,sdtpldt0(X1,sz00))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl27_5
| ~ spl27_125 ),
inference(resolution,[],[f1055,f369]) ).
fof(f2882,plain,
( spl27_280
| ~ spl27_43
| ~ spl27_103 ),
inference(avatar_split_clause,[],[f965,f943,f570,f2880]) ).
fof(f2880,plain,
( spl27_280
<=> ! [X0] :
( smndt0(sz10) = X0
| sz10 = X0
| ~ aInteger0(X0)
| sP0(X0,sK13(X0))
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_280])]) ).
fof(f965,plain,
( ! [X0] :
( smndt0(sz10) = X0
| sz10 = X0
| ~ aInteger0(X0)
| sP0(X0,sK13(X0))
| ~ sP1(X0) )
| ~ spl27_43
| ~ spl27_103 ),
inference(resolution,[],[f944,f571]) ).
fof(f2878,plain,
( spl27_279
| ~ spl27_42
| ~ spl27_57 ),
inference(avatar_split_clause,[],[f727,f660,f566,f2876]) ).
fof(f2876,plain,
( spl27_279
<=> ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP2(X1)
| sz00 = sdtpldt0(smndt0(sK16(X1,X0)),sK16(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_279])]) ).
fof(f566,plain,
( spl27_42
<=> ! [X0] :
( sz00 = sdtpldt0(smndt0(X0),X0)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_42])]) ).
fof(f727,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP2(X1)
| sz00 = sdtpldt0(smndt0(sK16(X1,X0)),sK16(X1,X0)) )
| ~ spl27_42
| ~ spl27_57 ),
inference(resolution,[],[f661,f567]) ).
fof(f567,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(X0),X0) )
| ~ spl27_42 ),
inference(avatar_component_clause,[],[f566]) ).
fof(f2874,plain,
( spl27_278
| ~ spl27_41
| ~ spl27_57 ),
inference(avatar_split_clause,[],[f726,f660,f562,f2872]) ).
fof(f2872,plain,
( spl27_278
<=> ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP2(X1)
| sz00 = sdtpldt0(sK16(X1,X0),smndt0(sK16(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_278])]) ).
fof(f562,plain,
( spl27_41
<=> ! [X0] :
( sz00 = sdtpldt0(X0,smndt0(X0))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_41])]) ).
fof(f726,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP2(X1)
| sz00 = sdtpldt0(sK16(X1,X0),smndt0(sK16(X1,X0))) )
| ~ spl27_41
| ~ spl27_57 ),
inference(resolution,[],[f661,f563]) ).
fof(f563,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(X0,smndt0(X0)) )
| ~ spl27_41 ),
inference(avatar_component_clause,[],[f562]) ).
fof(f2870,plain,
( spl27_277
| ~ spl27_53
| ~ spl27_56 ),
inference(avatar_split_clause,[],[f716,f656,f611,f2868]) ).
fof(f716,plain,
( ! [X0,X1] :
( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(X0,X1),smndt0(sz10))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl27_53
| ~ spl27_56 ),
inference(resolution,[],[f657,f612]) ).
fof(f2866,plain,
( spl27_276
| ~ spl27_51
| ~ spl27_56 ),
inference(avatar_split_clause,[],[f715,f656,f602,f2864]) ).
fof(f715,plain,
( ! [X0,X1] :
( smndt0(sdtpldt0(X0,X1)) = sdtasdt0(sdtpldt0(X0,X1),smndt0(sz10))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl27_51
| ~ spl27_56 ),
inference(resolution,[],[f657,f603]) ).
fof(f2862,plain,
( spl27_275
| ~ spl27_53
| ~ spl27_55 ),
inference(avatar_split_clause,[],[f709,f652,f611,f2860]) ).
fof(f709,plain,
( ! [X0,X1] :
( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(sz10),sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl27_53
| ~ spl27_55 ),
inference(resolution,[],[f653,f612]) ).
fof(f2858,plain,
( spl27_274
| ~ spl27_51
| ~ spl27_55 ),
inference(avatar_split_clause,[],[f708,f652,f602,f2856]) ).
fof(f708,plain,
( ! [X0,X1] :
( smndt0(sdtpldt0(X0,X1)) = sdtasdt0(smndt0(sz10),sdtpldt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl27_51
| ~ spl27_55 ),
inference(resolution,[],[f653,f603]) ).
fof(f2830,plain,
( spl27_273
| ~ spl27_1
| ~ spl27_126 ),
inference(avatar_split_clause,[],[f1085,f1061,f347,f2828]) ).
fof(f1085,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,xp)) = sdtasdt0(sdtasdt0(X0,X1),xp)
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl27_1
| ~ spl27_126 ),
inference(resolution,[],[f1062,f349]) ).
fof(f2826,plain,
( spl27_272
| ~ spl27_1
| ~ spl27_125 ),
inference(avatar_split_clause,[],[f1076,f1054,f347,f2824]) ).
fof(f1076,plain,
( ! [X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,xp)) = sdtpldt0(sdtpldt0(X0,X1),xp)
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl27_1
| ~ spl27_125 ),
inference(resolution,[],[f1055,f349]) ).
fof(f2822,plain,
( ~ spl27_270
| spl27_271
| ~ spl27_40
| ~ spl27_268 ),
inference(avatar_split_clause,[],[f2786,f2553,f557,f2820,f2816]) ).
fof(f2816,plain,
( spl27_270
<=> sP7(szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_270])]) ).
fof(f2820,plain,
( spl27_271
<=> ! [X0] :
( ~ aElementOf0(X0,sz10)
| aElementOf0(X0,sbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(sz10,xp)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_271])]) ).
fof(f557,plain,
( spl27_40
<=> aElementOf0(sz10,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_40])]) ).
fof(f2553,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(f2786,plain,
( ! [X0] :
( ~ aElementOf0(X0,sz10)
| ~ aInteger0(X0)
| aElementOf0(X0,sbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(sz10,xp)))
| ~ sP7(szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
| ~ spl27_40
| ~ spl27_268 ),
inference(resolution,[],[f2554,f559]) ).
fof(f559,plain,
( aElementOf0(sz10,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ~ spl27_40 ),
inference(avatar_component_clause,[],[f557]) ).
fof(f2554,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X1,X2)
| ~ aElementOf0(X0,X1)
| ~ aInteger0(X0)
| aElementOf0(X0,sbsmnsldt0(X2))
| ~ sP7(X2) )
| ~ spl27_268 ),
inference(avatar_component_clause,[],[f2553]) ).
fof(f2596,plain,
( spl27_269
| ~ spl27_1
| ~ spl27_194 ),
inference(avatar_split_clause,[],[f1778,f1708,f347,f2593]) ).
fof(f2593,plain,
( spl27_269
<=> smndt0(xp) = sdtasdt0(sz10,smndt0(xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_269])]) ).
fof(f1778,plain,
( smndt0(xp) = sdtasdt0(sz10,smndt0(xp))
| ~ spl27_1
| ~ spl27_194 ),
inference(resolution,[],[f1709,f349]) ).
fof(f2555,plain,
( spl27_268
| ~ spl27_26
| ~ spl27_110 ),
inference(avatar_split_clause,[],[f993,f982,f462,f2553]) ).
fof(f462,plain,
( spl27_26
<=> ! [X0] :
( sP6(X0,sbsmnsldt0(X0))
| ~ sP7(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_26])]) ).
fof(f982,plain,
( spl27_110
<=> ! [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_110])]) ).
fof(f993,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ aElementOf0(X1,X2)
| ~ aInteger0(X0)
| aElementOf0(X0,sbsmnsldt0(X2))
| ~ sP7(X2) )
| ~ spl27_26
| ~ spl27_110 ),
inference(resolution,[],[f983,f463]) ).
fof(f463,plain,
( ! [X0] :
( sP6(X0,sbsmnsldt0(X0))
| ~ sP7(X0) )
| ~ spl27_26 ),
inference(avatar_component_clause,[],[f462]) ).
fof(f983,plain,
( ! [X0,X1,X6,X5] :
( ~ sP6(X0,X1)
| ~ aElementOf0(X5,X6)
| ~ aElementOf0(X6,X0)
| ~ aInteger0(X5)
| aElementOf0(X5,X1) )
| ~ spl27_110 ),
inference(avatar_component_clause,[],[f982]) ).
fof(f2551,plain,
( spl27_267
| ~ spl27_67
| ~ spl27_106 ),
inference(avatar_split_clause,[],[f970,f957,f702,f2549]) ).
fof(f2549,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(f702,plain,
( spl27_67
<=> ! [X0,X1] :
( sP8(X1,X0,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| ~ sP9(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_67])]) ).
fof(f957,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(f970,plain,
( ! [X2,X0,X1] :
( ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aInteger0(X0)
| aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(X1,X2))
| ~ sP9(X1,X2) )
| ~ spl27_67
| ~ spl27_106 ),
inference(resolution,[],[f958,f703]) ).
fof(f703,plain,
( ! [X0,X1] :
( sP8(X1,X0,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| ~ sP9(X0,X1) )
| ~ spl27_67 ),
inference(avatar_component_clause,[],[f702]) ).
fof(f958,plain,
( ! [X2,X0,X1,X4] :
( ~ sP8(X0,X1,X2)
| ~ sdteqdtlpzmzozddtrp0(X4,X1,X0)
| ~ aInteger0(X4)
| aElementOf0(X4,X2) )
| ~ spl27_106 ),
inference(avatar_component_clause,[],[f957]) ).
fof(f2547,plain,
( spl27_266
| ~ spl27_72
| ~ spl27_101 ),
inference(avatar_split_clause,[],[f937,f909,f765,f2545]) ).
fof(f2545,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(f765,plain,
( spl27_72
<=> ! [X4,X0,X1,X2] :
( aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ sP10(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_72])]) ).
fof(f937,plain,
( ! [X2,X0,X1] :
( ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| ~ aElementOf0(X2,sdtslmnbsdt0(X1,X0))
| aElementOf0(X2,X1) )
| ~ spl27_72
| ~ spl27_101 ),
inference(resolution,[],[f910,f766]) ).
fof(f766,plain,
( ! [X2,X0,X1,X4] :
( ~ sP10(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| aElementOf0(X4,X1) )
| ~ spl27_72 ),
inference(avatar_component_clause,[],[f765]) ).
fof(f2543,plain,
( spl27_265
| ~ spl27_73
| ~ spl27_101 ),
inference(avatar_split_clause,[],[f936,f909,f769,f2541]) ).
fof(f2541,plain,
( spl27_265
<=> ! [X2,X0,X1] :
( ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| ~ aElementOf0(X2,sdtslmnbsdt0(X1,X0))
| aElementOf0(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_265])]) ).
fof(f769,plain,
( spl27_73
<=> ! [X4,X0,X2,X1] :
( aElementOf0(X4,X0)
| ~ aElementOf0(X4,X2)
| ~ sP10(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_73])]) ).
fof(f936,plain,
( ! [X2,X0,X1] :
( ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| ~ aElementOf0(X2,sdtslmnbsdt0(X1,X0))
| aElementOf0(X2,X0) )
| ~ spl27_73
| ~ spl27_101 ),
inference(resolution,[],[f910,f770]) ).
fof(f770,plain,
( ! [X2,X0,X1,X4] :
( ~ sP10(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| aElementOf0(X4,X0) )
| ~ spl27_73 ),
inference(avatar_component_clause,[],[f769]) ).
fof(f2539,plain,
( spl27_264
| ~ spl27_36
| ~ spl27_57 ),
inference(avatar_split_clause,[],[f725,f660,f507,f2537]) ).
fof(f2537,plain,
( spl27_264
<=> ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP2(X1)
| sK16(X1,X0) = sdtasdt0(sz10,sK16(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_264])]) ).
fof(f507,plain,
( spl27_36
<=> ! [X0] :
( sdtasdt0(sz10,X0) = X0
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_36])]) ).
fof(f725,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP2(X1)
| sK16(X1,X0) = sdtasdt0(sz10,sK16(X1,X0)) )
| ~ spl27_36
| ~ spl27_57 ),
inference(resolution,[],[f661,f508]) ).
fof(f508,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sz10,X0) = X0 )
| ~ spl27_36 ),
inference(avatar_component_clause,[],[f507]) ).
fof(f2535,plain,
( spl27_263
| ~ spl27_35
| ~ spl27_57 ),
inference(avatar_split_clause,[],[f724,f660,f503,f2533]) ).
fof(f2533,plain,
( spl27_263
<=> ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP2(X1)
| sK16(X1,X0) = sdtasdt0(sK16(X1,X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_263])]) ).
fof(f503,plain,
( spl27_35
<=> ! [X0] :
( sdtasdt0(X0,sz10) = X0
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_35])]) ).
fof(f724,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP2(X1)
| sK16(X1,X0) = sdtasdt0(sK16(X1,X0),sz10) )
| ~ spl27_35
| ~ spl27_57 ),
inference(resolution,[],[f661,f504]) ).
fof(f504,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,sz10) = X0 )
| ~ spl27_35 ),
inference(avatar_component_clause,[],[f503]) ).
fof(f2531,plain,
( spl27_262
| ~ spl27_1
| ~ spl27_191 ),
inference(avatar_split_clause,[],[f1768,f1687,f347,f2528]) ).
fof(f1768,plain,
( smndt0(xp) = sdtasdt0(smndt0(xp),sz10)
| ~ spl27_1
| ~ spl27_191 ),
inference(resolution,[],[f1688,f349]) ).
fof(f2526,plain,
( spl27_261
| ~ spl27_34
| ~ spl27_57 ),
inference(avatar_split_clause,[],[f723,f660,f499,f2524]) ).
fof(f2524,plain,
( spl27_261
<=> ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP2(X1)
| sK16(X1,X0) = sdtpldt0(sz00,sK16(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_261])]) ).
fof(f499,plain,
( spl27_34
<=> ! [X0] :
( sdtpldt0(sz00,X0) = X0
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_34])]) ).
fof(f723,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP2(X1)
| sK16(X1,X0) = sdtpldt0(sz00,sK16(X1,X0)) )
| ~ spl27_34
| ~ spl27_57 ),
inference(resolution,[],[f661,f500]) ).
fof(f500,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz00,X0) = X0 )
| ~ spl27_34 ),
inference(avatar_component_clause,[],[f499]) ).
fof(f2522,plain,
( spl27_260
| ~ spl27_33
| ~ spl27_57 ),
inference(avatar_split_clause,[],[f722,f660,f495,f2520]) ).
fof(f2520,plain,
( spl27_260
<=> ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP2(X1)
| sK16(X1,X0) = sdtpldt0(sK16(X1,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_260])]) ).
fof(f495,plain,
( spl27_33
<=> ! [X0] :
( sdtpldt0(X0,sz00) = X0
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_33])]) ).
fof(f722,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP2(X1)
| sK16(X1,X0) = sdtpldt0(sK16(X1,X0),sz00) )
| ~ spl27_33
| ~ spl27_57 ),
inference(resolution,[],[f661,f496]) ).
fof(f496,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sz00) = X0 )
| ~ spl27_33 ),
inference(avatar_component_clause,[],[f495]) ).
fof(f2518,plain,
( spl27_259
| ~ spl27_37
| ~ spl27_56 ),
inference(avatar_split_clause,[],[f718,f656,f511,f2516]) ).
fof(f2516,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(f718,plain,
( ! [X0,X1] :
( smndt0(sK14(X0,X1)) = sdtasdt0(sK14(X0,X1),smndt0(sz10))
| ~ sP0(X0,X1) )
| ~ spl27_37
| ~ spl27_56 ),
inference(resolution,[],[f657,f512]) ).
fof(f2514,plain,
( spl27_258
| ~ spl27_37
| ~ spl27_55 ),
inference(avatar_split_clause,[],[f711,f652,f511,f2512]) ).
fof(f2512,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(f711,plain,
( ! [X0,X1] :
( smndt0(sK14(X0,X1)) = sdtasdt0(smndt0(sz10),sK14(X0,X1))
| ~ sP0(X0,X1) )
| ~ spl27_37
| ~ spl27_55 ),
inference(resolution,[],[f653,f512]) ).
fof(f2510,plain,
( spl27_257
| ~ spl27_42
| ~ spl27_53 ),
inference(avatar_split_clause,[],[f650,f611,f566,f2508]) ).
fof(f650,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = sdtpldt0(smndt0(sdtasdt0(X1,X0)),sdtasdt0(X1,X0)) )
| ~ spl27_42
| ~ spl27_53 ),
inference(resolution,[],[f612,f567]) ).
fof(f2506,plain,
( spl27_256
| ~ spl27_41
| ~ spl27_53 ),
inference(avatar_split_clause,[],[f649,f611,f562,f2504]) ).
fof(f649,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = sdtpldt0(sdtasdt0(X1,X0),smndt0(sdtasdt0(X1,X0))) )
| ~ spl27_41
| ~ spl27_53 ),
inference(resolution,[],[f612,f563]) ).
fof(f2502,plain,
( spl27_255
| ~ spl27_42
| ~ spl27_51 ),
inference(avatar_split_clause,[],[f640,f602,f566,f2500]) ).
fof(f640,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = sdtpldt0(smndt0(sdtpldt0(X1,X0)),sdtpldt0(X1,X0)) )
| ~ spl27_42
| ~ spl27_51 ),
inference(resolution,[],[f603,f567]) ).
fof(f2498,plain,
( spl27_254
| ~ spl27_41
| ~ spl27_51 ),
inference(avatar_split_clause,[],[f639,f602,f562,f2496]) ).
fof(f639,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = sdtpldt0(sdtpldt0(X1,X0),smndt0(sdtpldt0(X1,X0))) )
| ~ spl27_41
| ~ spl27_51 ),
inference(resolution,[],[f603,f563]) ).
fof(f2438,plain,
( spl27_253
| ~ spl27_1
| ~ spl27_190 ),
inference(avatar_split_clause,[],[f1758,f1683,f347,f2435]) ).
fof(f1758,plain,
( smndt0(xp) = sdtpldt0(sz00,smndt0(xp))
| ~ spl27_1
| ~ spl27_190 ),
inference(resolution,[],[f1684,f349]) ).
fof(f2339,plain,
( spl27_252
| ~ spl27_64
| ~ spl27_102 ),
inference(avatar_split_clause,[],[f941,f913,f689,f2337]) ).
fof(f2337,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(f689,plain,
( spl27_64
<=> ! [X4,X0,X2,X1] :
( aInteger0(X4)
| ~ aElementOf0(X4,X2)
| ~ sP11(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_64])]) ).
fof(f941,plain,
( ! [X2,X0,X1] :
( ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| ~ aElementOf0(X2,sdtbsmnsldt0(X1,X0))
| aInteger0(X2) )
| ~ spl27_64
| ~ spl27_102 ),
inference(resolution,[],[f914,f690]) ).
fof(f690,plain,
( ! [X2,X0,X1,X4] :
( ~ sP11(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| aInteger0(X4) )
| ~ spl27_64 ),
inference(avatar_component_clause,[],[f689]) ).
fof(f2335,plain,
( spl27_251
| ~ spl27_63
| ~ spl27_101 ),
inference(avatar_split_clause,[],[f938,f909,f685,f2333]) ).
fof(f2333,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(f685,plain,
( spl27_63
<=> ! [X4,X0,X2,X1] :
( aInteger0(X4)
| ~ aElementOf0(X4,X2)
| ~ sP10(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_63])]) ).
fof(f938,plain,
( ! [X2,X0,X1] :
( ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| ~ aElementOf0(X2,sdtslmnbsdt0(X1,X0))
| aInteger0(X2) )
| ~ spl27_63
| ~ spl27_101 ),
inference(resolution,[],[f910,f686]) ).
fof(f686,plain,
( ! [X2,X0,X1,X4] :
( ~ sP10(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| aInteger0(X4) )
| ~ spl27_63 ),
inference(avatar_component_clause,[],[f685]) ).
fof(f2331,plain,
( spl27_250
| ~ spl27_29
| ~ spl27_92 ),
inference(avatar_split_clause,[],[f922,f872,f478,f2329]) ).
fof(f2329,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(f478,plain,
( spl27_29
<=> ! [X0,X1] :
( aSet0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_29])]) ).
fof(f922,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP2(X1)
| aSet0(szAzrzSzezqlpdtcmdtrp0(X0,sK16(X1,X0)))
| ~ aSet0(X1) )
| ~ spl27_29
| ~ spl27_92 ),
inference(resolution,[],[f873,f479]) ).
fof(f479,plain,
( ! [X0,X1] :
( ~ aSubsetOf0(X1,X0)
| aSet0(X1)
| ~ aSet0(X0) )
| ~ spl27_29 ),
inference(avatar_component_clause,[],[f478]) ).
fof(f2327,plain,
( spl27_249
| ~ spl27_15
| ~ spl27_87 ),
inference(avatar_split_clause,[],[f852,f826,f417,f2325]) ).
fof(f852,plain,
( ! [X0,X1] :
( sdtasdt0(X0,smndt0(X1)) = sdtasdt0(smndt0(X1),X0)
| ~ aInteger0(X0)
| ~ aInteger0(X1) )
| ~ spl27_15
| ~ spl27_87 ),
inference(resolution,[],[f827,f418]) ).
fof(f2323,plain,
( spl27_248
| ~ spl27_15
| ~ spl27_86 ),
inference(avatar_split_clause,[],[f843,f822,f417,f2321]) ).
fof(f843,plain,
( ! [X0,X1] :
( sdtpldt0(X0,smndt0(X1)) = sdtpldt0(smndt0(X1),X0)
| ~ aInteger0(X0)
| ~ aInteger0(X1) )
| ~ spl27_15
| ~ spl27_86 ),
inference(resolution,[],[f823,f418]) ).
fof(f2319,plain,
( spl27_247
| ~ spl27_36
| ~ spl27_53 ),
inference(avatar_split_clause,[],[f648,f611,f507,f2317]) ).
fof(f648,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,X0) = sdtasdt0(sz10,sdtasdt0(X1,X0)) )
| ~ spl27_36
| ~ spl27_53 ),
inference(resolution,[],[f612,f508]) ).
fof(f2315,plain,
( spl27_246
| ~ spl27_35
| ~ spl27_53 ),
inference(avatar_split_clause,[],[f647,f611,f503,f2313]) ).
fof(f647,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,X0) = sdtasdt0(sdtasdt0(X1,X0),sz10) )
| ~ spl27_35
| ~ spl27_53 ),
inference(resolution,[],[f612,f504]) ).
fof(f2311,plain,
( spl27_245
| ~ spl27_34
| ~ spl27_53 ),
inference(avatar_split_clause,[],[f646,f611,f499,f2309]) ).
fof(f646,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,X0) = sdtpldt0(sz00,sdtasdt0(X1,X0)) )
| ~ spl27_34
| ~ spl27_53 ),
inference(resolution,[],[f612,f500]) ).
fof(f2307,plain,
( spl27_244
| ~ spl27_33
| ~ spl27_53 ),
inference(avatar_split_clause,[],[f645,f611,f495,f2305]) ).
fof(f645,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,X0) = sdtpldt0(sdtasdt0(X1,X0),sz00) )
| ~ spl27_33
| ~ spl27_53 ),
inference(resolution,[],[f612,f496]) ).
fof(f2303,plain,
( spl27_243
| ~ spl27_36
| ~ spl27_51 ),
inference(avatar_split_clause,[],[f638,f602,f507,f2301]) ).
fof(f638,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtpldt0(X1,X0) = sdtasdt0(sz10,sdtpldt0(X1,X0)) )
| ~ spl27_36
| ~ spl27_51 ),
inference(resolution,[],[f603,f508]) ).
fof(f2299,plain,
( spl27_242
| ~ spl27_35
| ~ spl27_51 ),
inference(avatar_split_clause,[],[f637,f602,f503,f2297]) ).
fof(f637,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtpldt0(X1,X0) = sdtasdt0(sdtpldt0(X1,X0),sz10) )
| ~ spl27_35
| ~ spl27_51 ),
inference(resolution,[],[f603,f504]) ).
fof(f2295,plain,
( spl27_241
| ~ spl27_34
| ~ spl27_51 ),
inference(avatar_split_clause,[],[f636,f602,f499,f2293]) ).
fof(f636,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtpldt0(X1,X0) = sdtpldt0(sz00,sdtpldt0(X1,X0)) )
| ~ spl27_34
| ~ spl27_51 ),
inference(resolution,[],[f603,f500]) ).
fof(f2291,plain,
( spl27_240
| ~ spl27_33
| ~ spl27_51 ),
inference(avatar_split_clause,[],[f635,f602,f495,f2289]) ).
fof(f635,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtpldt0(X1,X0) = sdtpldt0(sdtpldt0(X1,X0),sz00) )
| ~ spl27_33
| ~ spl27_51 ),
inference(resolution,[],[f603,f496]) ).
fof(f2287,plain,
( spl27_239
| ~ spl27_37
| ~ spl27_42 ),
inference(avatar_split_clause,[],[f623,f566,f511,f2285]) ).
fof(f2285,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(f623,plain,
( ! [X0,X1] :
( sz00 = sdtpldt0(smndt0(sK14(X0,X1)),sK14(X0,X1))
| ~ sP0(X0,X1) )
| ~ spl27_37
| ~ spl27_42 ),
inference(resolution,[],[f567,f512]) ).
fof(f2283,plain,
( spl27_238
| ~ spl27_37
| ~ spl27_41 ),
inference(avatar_split_clause,[],[f618,f562,f511,f2281]) ).
fof(f2281,plain,
( spl27_238
<=> ! [X0,X1] :
( sz00 = sdtpldt0(sK14(X0,X1),smndt0(sK14(X0,X1)))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_238])]) ).
fof(f618,plain,
( ! [X0,X1] :
( sz00 = sdtpldt0(sK14(X0,X1),smndt0(sK14(X0,X1)))
| ~ sP0(X0,X1) )
| ~ spl27_37
| ~ spl27_41 ),
inference(resolution,[],[f563,f512]) ).
fof(f2224,plain,
( spl27_236
| ~ spl27_237
| ~ spl27_40
| ~ spl27_233 ),
inference(avatar_split_clause,[],[f2188,f2171,f557,f2221,f2217]) ).
fof(f2221,plain,
( spl27_237
<=> sP2(szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_237])]) ).
fof(f2171,plain,
( spl27_233
<=> ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP2(X1)
| sz00 = sdtasdt0(sK16(X1,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_233])]) ).
fof(f2188,plain,
( ~ sP2(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| sz00 = sdtasdt0(sK16(szAzrzSzezqlpdtcmdtrp0(sz10,xp),sz10),sz00)
| ~ spl27_40
| ~ spl27_233 ),
inference(resolution,[],[f2172,f559]) ).
fof(f2172,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP2(X1)
| sz00 = sdtasdt0(sK16(X1,X0),sz00) )
| ~ spl27_233 ),
inference(avatar_component_clause,[],[f2171]) ).
fof(f2181,plain,
( spl27_235
| ~ spl27_67
| ~ spl27_84 ),
inference(avatar_split_clause,[],[f840,f813,f702,f2179]) ).
fof(f2179,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(f813,plain,
( spl27_84
<=> ! [X2,X4,X0,X1] :
( sdteqdtlpzmzozddtrp0(X4,X1,X0)
| ~ aElementOf0(X4,X2)
| ~ sP8(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_84])]) ).
fof(f840,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(X1,X2))
| sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ sP9(X1,X2) )
| ~ spl27_67
| ~ spl27_84 ),
inference(resolution,[],[f814,f703]) ).
fof(f814,plain,
( ! [X2,X0,X1,X4] :
( ~ sP8(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| sdteqdtlpzmzozddtrp0(X4,X1,X0) )
| ~ spl27_84 ),
inference(avatar_component_clause,[],[f813]) ).
fof(f2177,plain,
( spl27_234
| ~ spl27_32
| ~ spl27_57 ),
inference(avatar_split_clause,[],[f721,f660,f491,f2175]) ).
fof(f2175,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(f491,plain,
( spl27_32
<=> ! [X0] :
( sz00 = sdtasdt0(sz00,X0)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_32])]) ).
fof(f721,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP2(X1)
| sz00 = sdtasdt0(sz00,sK16(X1,X0)) )
| ~ spl27_32
| ~ spl27_57 ),
inference(resolution,[],[f661,f492]) ).
fof(f492,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sz00,X0) )
| ~ spl27_32 ),
inference(avatar_component_clause,[],[f491]) ).
fof(f2173,plain,
( spl27_233
| ~ spl27_30
| ~ spl27_57 ),
inference(avatar_split_clause,[],[f720,f660,f482,f2171]) ).
fof(f482,plain,
( spl27_30
<=> ! [X0] :
( sz00 = sdtasdt0(X0,sz00)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_30])]) ).
fof(f720,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP2(X1)
| sz00 = sdtasdt0(sK16(X1,X0),sz00) )
| ~ spl27_30
| ~ spl27_57 ),
inference(resolution,[],[f661,f483]) ).
fof(f483,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(X0,sz00) )
| ~ spl27_30 ),
inference(avatar_component_clause,[],[f482]) ).
fof(f2169,plain,
( spl27_232
| ~ spl27_36
| ~ spl27_37 ),
inference(avatar_split_clause,[],[f549,f511,f507,f2167]) ).
fof(f2167,plain,
( spl27_232
<=> ! [X0,X1] :
( ~ sP0(X0,X1)
| sK14(X0,X1) = sdtasdt0(sz10,sK14(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_232])]) ).
fof(f549,plain,
( ! [X0,X1] :
( ~ sP0(X0,X1)
| sK14(X0,X1) = sdtasdt0(sz10,sK14(X0,X1)) )
| ~ spl27_36
| ~ spl27_37 ),
inference(resolution,[],[f512,f508]) ).
fof(f2165,plain,
( spl27_231
| ~ spl27_35
| ~ spl27_37 ),
inference(avatar_split_clause,[],[f548,f511,f503,f2163]) ).
fof(f2163,plain,
( spl27_231
<=> ! [X0,X1] :
( ~ sP0(X0,X1)
| sK14(X0,X1) = sdtasdt0(sK14(X0,X1),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_231])]) ).
fof(f548,plain,
( ! [X0,X1] :
( ~ sP0(X0,X1)
| sK14(X0,X1) = sdtasdt0(sK14(X0,X1),sz10) )
| ~ spl27_35
| ~ spl27_37 ),
inference(resolution,[],[f512,f504]) ).
fof(f2161,plain,
( spl27_230
| ~ spl27_1
| ~ spl27_189 ),
inference(avatar_split_clause,[],[f1748,f1679,f347,f2158]) ).
fof(f1748,plain,
( smndt0(xp) = sdtpldt0(smndt0(xp),sz00)
| ~ spl27_1
| ~ spl27_189 ),
inference(resolution,[],[f1680,f349]) ).
fof(f2156,plain,
( spl27_229
| ~ spl27_34
| ~ spl27_37 ),
inference(avatar_split_clause,[],[f547,f511,f499,f2154]) ).
fof(f2154,plain,
( spl27_229
<=> ! [X0,X1] :
( ~ sP0(X0,X1)
| sK14(X0,X1) = sdtpldt0(sz00,sK14(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_229])]) ).
fof(f547,plain,
( ! [X0,X1] :
( ~ sP0(X0,X1)
| sK14(X0,X1) = sdtpldt0(sz00,sK14(X0,X1)) )
| ~ spl27_34
| ~ spl27_37 ),
inference(resolution,[],[f512,f500]) ).
fof(f2152,plain,
( spl27_228
| ~ spl27_33
| ~ spl27_37 ),
inference(avatar_split_clause,[],[f546,f511,f495,f2150]) ).
fof(f2150,plain,
( spl27_228
<=> ! [X0,X1] :
( ~ sP0(X0,X1)
| sK14(X0,X1) = sdtpldt0(sK14(X0,X1),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_228])]) ).
fof(f546,plain,
( ! [X0,X1] :
( ~ sP0(X0,X1)
| sK14(X0,X1) = sdtpldt0(sK14(X0,X1),sz00) )
| ~ spl27_33
| ~ spl27_37 ),
inference(resolution,[],[f512,f496]) ).
fof(f2089,plain,
( spl27_227
| ~ spl27_4
| ~ spl27_187 ),
inference(avatar_split_clause,[],[f1656,f1648,f362,f2086]) ).
fof(f1656,plain,
( sdtpldt0(sz10,xp) = sdtpldt0(xp,sz10)
| ~ spl27_4
| ~ spl27_187 ),
inference(resolution,[],[f1649,f364]) ).
fof(f2037,plain,
( spl27_226
| ~ spl27_17
| ~ spl27_95 ),
inference(avatar_split_clause,[],[f926,f884,f425,f2035]) ).
fof(f2035,plain,
( spl27_226
<=> ! [X0,X1] :
( sz00 = X0
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sP3(szAzrzSzezqlpdtcmdtrp0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_226])]) ).
fof(f425,plain,
( spl27_17
<=> ! [X0] :
( sP3(X0)
| ~ aSubsetOf0(X0,cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_17])]) ).
fof(f926,plain,
( ! [X0,X1] :
( sz00 = X0
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sP3(szAzrzSzezqlpdtcmdtrp0(X1,X0)) )
| ~ spl27_17
| ~ spl27_95 ),
inference(resolution,[],[f885,f426]) ).
fof(f426,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,cS1395)
| sP3(X0) )
| ~ spl27_17 ),
inference(avatar_component_clause,[],[f425]) ).
fof(f2033,plain,
( spl27_225
| ~ spl27_19
| ~ spl27_95 ),
inference(avatar_split_clause,[],[f925,f884,f433,f2031]) ).
fof(f2031,plain,
( spl27_225
<=> ! [X0,X1] :
( sz00 = X0
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sP5(szAzrzSzezqlpdtcmdtrp0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_225])]) ).
fof(f433,plain,
( spl27_19
<=> ! [X0] :
( sP5(X0)
| ~ aSubsetOf0(X0,cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_19])]) ).
fof(f925,plain,
( ! [X0,X1] :
( sz00 = X0
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sP5(szAzrzSzezqlpdtcmdtrp0(X1,X0)) )
| ~ spl27_19
| ~ spl27_95 ),
inference(resolution,[],[f885,f434]) ).
fof(f434,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,cS1395)
| sP5(X0) )
| ~ spl27_19 ),
inference(avatar_component_clause,[],[f433]) ).
fof(f2029,plain,
( spl27_224
| ~ spl27_65
| ~ spl27_87 ),
inference(avatar_split_clause,[],[f853,f826,f693,f2027]) ).
fof(f2027,plain,
( spl27_224
<=> ! [X0] :
( sdtasdt0(smndt0(sz10),X0) = sdtasdt0(X0,smndt0(sz10))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_224])]) ).
fof(f853,plain,
( ! [X0] :
( sdtasdt0(smndt0(sz10),X0) = sdtasdt0(X0,smndt0(sz10))
| ~ aInteger0(X0) )
| ~ spl27_65
| ~ spl27_87 ),
inference(resolution,[],[f827,f694]) ).
fof(f2025,plain,
( spl27_223
| ~ spl27_65
| ~ spl27_86 ),
inference(avatar_split_clause,[],[f844,f822,f693,f2023]) ).
fof(f2023,plain,
( spl27_223
<=> ! [X0] :
( sdtpldt0(X0,smndt0(sz10)) = sdtpldt0(smndt0(sz10),X0)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_223])]) ).
fof(f844,plain,
( ! [X0] :
( sdtpldt0(X0,smndt0(sz10)) = sdtpldt0(smndt0(sz10),X0)
| ~ aInteger0(X0) )
| ~ spl27_65
| ~ spl27_86 ),
inference(resolution,[],[f823,f694]) ).
fof(f2021,plain,
( spl27_222
| ~ spl27_26
| ~ spl27_81 ),
inference(avatar_split_clause,[],[f834,f801,f462,f2019]) ).
fof(f2019,plain,
( spl27_222
<=> ! [X0,X1] :
( ~ aElementOf0(X0,sbsmnsldt0(X1))
| aElementOf0(X0,sK21(X1,X0))
| ~ sP7(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_222])]) ).
fof(f801,plain,
( spl27_81
<=> ! [X5,X0,X1] :
( aElementOf0(X5,sK21(X0,X5))
| ~ aElementOf0(X5,X1)
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_81])]) ).
fof(f834,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,sbsmnsldt0(X1))
| aElementOf0(X0,sK21(X1,X0))
| ~ sP7(X1) )
| ~ spl27_26
| ~ spl27_81 ),
inference(resolution,[],[f802,f463]) ).
fof(f802,plain,
( ! [X0,X1,X5] :
( ~ sP6(X0,X1)
| ~ aElementOf0(X5,X1)
| aElementOf0(X5,sK21(X0,X5)) )
| ~ spl27_81 ),
inference(avatar_component_clause,[],[f801]) ).
fof(f2011,plain,
( spl27_221
| ~ spl27_26
| ~ spl27_80 ),
inference(avatar_split_clause,[],[f833,f797,f462,f2009]) ).
fof(f2009,plain,
( spl27_221
<=> ! [X0,X1] :
( ~ aElementOf0(X0,sbsmnsldt0(X1))
| aElementOf0(sK21(X1,X0),X1)
| ~ sP7(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_221])]) ).
fof(f797,plain,
( spl27_80
<=> ! [X5,X0,X1] :
( aElementOf0(sK21(X0,X5),X0)
| ~ aElementOf0(X5,X1)
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_80])]) ).
fof(f833,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,sbsmnsldt0(X1))
| aElementOf0(sK21(X1,X0),X1)
| ~ sP7(X1) )
| ~ spl27_26
| ~ spl27_80 ),
inference(resolution,[],[f798,f463]) ).
fof(f798,plain,
( ! [X0,X1,X5] :
( ~ sP6(X0,X1)
| ~ aElementOf0(X5,X1)
| aElementOf0(sK21(X0,X5),X0) )
| ~ spl27_80 ),
inference(avatar_component_clause,[],[f797]) ).
fof(f2007,plain,
( spl27_220
| ~ spl27_25
| ~ spl27_77 ),
inference(avatar_split_clause,[],[f830,f785,f458,f2005]) ).
fof(f2005,plain,
( spl27_220
<=> ! [X0,X1] :
( aElementOf0(X0,X1)
| ~ aInteger0(X0)
| aElementOf0(X0,stldt0(X1))
| ~ sP5(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_220])]) ).
fof(f458,plain,
( spl27_25
<=> ! [X0] :
( sP4(X0,stldt0(X0))
| ~ sP5(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_25])]) ).
fof(f785,plain,
( spl27_77
<=> ! [X0,X1,X3] :
( aElementOf0(X3,X1)
| aElementOf0(X3,X0)
| ~ aInteger0(X3)
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_77])]) ).
fof(f830,plain,
( ! [X0,X1] :
( aElementOf0(X0,X1)
| ~ aInteger0(X0)
| aElementOf0(X0,stldt0(X1))
| ~ sP5(X1) )
| ~ spl27_25
| ~ spl27_77 ),
inference(resolution,[],[f786,f459]) ).
fof(f459,plain,
( ! [X0] :
( sP4(X0,stldt0(X0))
| ~ sP5(X0) )
| ~ spl27_25 ),
inference(avatar_component_clause,[],[f458]) ).
fof(f786,plain,
( ! [X3,X0,X1] :
( ~ sP4(X0,X1)
| aElementOf0(X3,X0)
| ~ aInteger0(X3)
| aElementOf0(X3,X1) )
| ~ spl27_77 ),
inference(avatar_component_clause,[],[f785]) ).
fof(f2003,plain,
( spl27_219
| ~ spl27_15
| ~ spl27_56 ),
inference(avatar_split_clause,[],[f714,f656,f417,f2001]) ).
fof(f714,plain,
( ! [X0] :
( smndt0(smndt0(X0)) = sdtasdt0(smndt0(X0),smndt0(sz10))
| ~ aInteger0(X0) )
| ~ spl27_15
| ~ spl27_56 ),
inference(resolution,[],[f657,f418]) ).
fof(f1999,plain,
( spl27_218
| ~ spl27_15
| ~ spl27_55 ),
inference(avatar_split_clause,[],[f707,f652,f417,f1997]) ).
fof(f707,plain,
( ! [X0] :
( smndt0(smndt0(X0)) = sdtasdt0(smndt0(sz10),smndt0(X0))
| ~ aInteger0(X0) )
| ~ spl27_15
| ~ spl27_55 ),
inference(resolution,[],[f653,f418]) ).
fof(f1995,plain,
( spl27_217
| ~ spl27_32
| ~ spl27_53 ),
inference(avatar_split_clause,[],[f644,f611,f491,f1993]) ).
fof(f644,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = sdtasdt0(sz00,sdtasdt0(X1,X0)) )
| ~ spl27_32
| ~ spl27_53 ),
inference(resolution,[],[f612,f492]) ).
fof(f1991,plain,
( spl27_216
| ~ spl27_30
| ~ spl27_53 ),
inference(avatar_split_clause,[],[f643,f611,f482,f1989]) ).
fof(f643,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = sdtasdt0(sdtasdt0(X1,X0),sz00) )
| ~ spl27_30
| ~ spl27_53 ),
inference(resolution,[],[f612,f483]) ).
fof(f1987,plain,
( spl27_215
| ~ spl27_32
| ~ spl27_51 ),
inference(avatar_split_clause,[],[f634,f602,f491,f1985]) ).
fof(f634,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = sdtasdt0(sz00,sdtpldt0(X1,X0)) )
| ~ spl27_32
| ~ spl27_51 ),
inference(resolution,[],[f603,f492]) ).
fof(f1983,plain,
( spl27_214
| ~ spl27_30
| ~ spl27_51 ),
inference(avatar_split_clause,[],[f633,f602,f482,f1981]) ).
fof(f633,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = sdtasdt0(sdtpldt0(X1,X0),sz00) )
| ~ spl27_30
| ~ spl27_51 ),
inference(resolution,[],[f603,f483]) ).
fof(f1911,plain,
( spl27_213
| ~ spl27_120 ),
inference(avatar_split_clause,[],[f1036,f1032,f1909]) ).
fof(f1909,plain,
( spl27_213
<=> ! [X0,X1] :
( aElementOf0(sK25(X0,X1,X0),X0)
| sP10(X0,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_213])]) ).
fof(f1032,plain,
( spl27_120
<=> ! [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_120])]) ).
fof(f1036,plain,
( ! [X0,X1] :
( aElementOf0(sK25(X0,X1,X0),X0)
| sP10(X0,X1,X0) )
| ~ spl27_120 ),
inference(factoring,[],[f1033]) ).
fof(f1033,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK25(X0,X1,X2),X2)
| aElementOf0(sK25(X0,X1,X2),X0)
| sP10(X0,X1,X2) )
| ~ spl27_120 ),
inference(avatar_component_clause,[],[f1032]) ).
fof(f1907,plain,
( spl27_212
| ~ spl27_119 ),
inference(avatar_split_clause,[],[f1035,f1028,f1905]) ).
fof(f1905,plain,
( spl27_212
<=> ! [X0,X1] :
( aElementOf0(sK25(X0,X1,X1),X1)
| sP10(X0,X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_212])]) ).
fof(f1028,plain,
( spl27_119
<=> ! [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_119])]) ).
fof(f1035,plain,
( ! [X0,X1] :
( aElementOf0(sK25(X0,X1,X1),X1)
| sP10(X0,X1,X1) )
| ~ spl27_119 ),
inference(factoring,[],[f1029]) ).
fof(f1029,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK25(X0,X1,X2),X2)
| aElementOf0(sK25(X0,X1,X2),X1)
| sP10(X0,X1,X2) )
| ~ spl27_119 ),
inference(avatar_component_clause,[],[f1028]) ).
fof(f1903,plain,
( ~ spl27_209
| spl27_210
| spl27_211
| ~ spl27_95
| ~ spl27_104 ),
inference(avatar_split_clause,[],[f969,f949,f884,f1900,f1897,f1893]) ).
fof(f1893,plain,
( spl27_209
<=> aInteger0(sK15(cS1395)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_209])]) ).
fof(f1897,plain,
( spl27_210
<=> ! [X0] :
( sz00 = X0
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_210])]) ).
fof(f1900,plain,
( spl27_211
<=> sP2(cS1395) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_211])]) ).
fof(f949,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(f969,plain,
( ! [X0] :
( sP2(cS1395)
| sz00 = X0
| ~ aInteger0(X0)
| ~ aInteger0(sK15(cS1395)) )
| ~ spl27_95
| ~ spl27_104 ),
inference(duplicate_literal_removal,[],[f968]) ).
fof(f968,plain,
( ! [X0] :
( sP2(cS1395)
| sz00 = X0
| ~ aInteger0(X0)
| sz00 = X0
| ~ aInteger0(X0)
| ~ aInteger0(sK15(cS1395)) )
| ~ spl27_95
| ~ spl27_104 ),
inference(resolution,[],[f950,f885]) ).
fof(f950,plain,
( ! [X2,X0] :
( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sK15(X0),X2),X0)
| sP2(X0)
| sz00 = X2
| ~ aInteger0(X2) )
| ~ spl27_104 ),
inference(avatar_component_clause,[],[f949]) ).
fof(f1891,plain,
( spl27_208
| ~ spl27_1
| ~ spl27_179 ),
inference(avatar_split_clause,[],[f1550,f1500,f347,f1888]) ).
fof(f1888,plain,
( spl27_208
<=> sz00 = sdtasdt0(sz00,smndt0(xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_208])]) ).
fof(f1550,plain,
( sz00 = sdtasdt0(sz00,smndt0(xp))
| ~ spl27_1
| ~ spl27_179 ),
inference(resolution,[],[f1501,f349]) ).
fof(f1886,plain,
( spl27_207
| ~ spl27_61
| ~ spl27_67 ),
inference(avatar_split_clause,[],[f745,f702,f676,f1884]) ).
fof(f676,plain,
( spl27_61
<=> ! [X4,X0,X2,X1] :
( aInteger0(X4)
| ~ aElementOf0(X4,X2)
| ~ sP8(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_61])]) ).
fof(f745,plain,
( ! [X2,X0,X1] :
( ~ sP9(X0,X1)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| aInteger0(X2) )
| ~ spl27_61
| ~ spl27_67 ),
inference(resolution,[],[f703,f677]) ).
fof(f677,plain,
( ! [X2,X0,X1,X4] :
( ~ sP8(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| aInteger0(X4) )
| ~ spl27_61 ),
inference(avatar_component_clause,[],[f676]) ).
fof(f1882,plain,
( spl27_206
| ~ spl27_15
| ~ spl27_42 ),
inference(avatar_split_clause,[],[f621,f566,f417,f1880]) ).
fof(f621,plain,
( ! [X0] :
( sz00 = sdtpldt0(smndt0(smndt0(X0)),smndt0(X0))
| ~ aInteger0(X0) )
| ~ spl27_15
| ~ spl27_42 ),
inference(resolution,[],[f567,f418]) ).
fof(f1878,plain,
( spl27_205
| ~ spl27_15
| ~ spl27_41 ),
inference(avatar_split_clause,[],[f616,f562,f417,f1876]) ).
fof(f616,plain,
( ! [X0] :
( sz00 = sdtpldt0(smndt0(X0),smndt0(smndt0(X0)))
| ~ aInteger0(X0) )
| ~ spl27_15
| ~ spl27_41 ),
inference(resolution,[],[f563,f418]) ).
fof(f1874,plain,
( spl27_204
| ~ spl27_32
| ~ spl27_37 ),
inference(avatar_split_clause,[],[f545,f511,f491,f1872]) ).
fof(f1872,plain,
( spl27_204
<=> ! [X0,X1] :
( ~ sP0(X0,X1)
| sz00 = sdtasdt0(sz00,sK14(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_204])]) ).
fof(f545,plain,
( ! [X0,X1] :
( ~ sP0(X0,X1)
| sz00 = sdtasdt0(sz00,sK14(X0,X1)) )
| ~ spl27_32
| ~ spl27_37 ),
inference(resolution,[],[f512,f492]) ).
fof(f1870,plain,
( spl27_203
| ~ spl27_30
| ~ spl27_37 ),
inference(avatar_split_clause,[],[f544,f511,f482,f1868]) ).
fof(f1868,plain,
( spl27_203
<=> ! [X0,X1] :
( ~ sP0(X0,X1)
| sz00 = sdtasdt0(sK14(X0,X1),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_203])]) ).
fof(f544,plain,
( ! [X0,X1] :
( ~ sP0(X0,X1)
| sz00 = sdtasdt0(sK14(X0,X1),sz00) )
| ~ spl27_30
| ~ spl27_37 ),
inference(resolution,[],[f512,f483]) ).
fof(f1807,plain,
( spl27_202
| ~ spl27_1
| ~ spl27_178 ),
inference(avatar_split_clause,[],[f1540,f1496,f347,f1804]) ).
fof(f1540,plain,
( sz00 = sdtasdt0(smndt0(xp),sz00)
| ~ spl27_1
| ~ spl27_178 ),
inference(resolution,[],[f1497,f349]) ).
fof(f1741,plain,
( spl27_201
| ~ spl27_4
| ~ spl27_87 ),
inference(avatar_split_clause,[],[f851,f826,f362,f1739]) ).
fof(f851,plain,
( ! [X0] :
( sdtasdt0(X0,sz10) = sdtasdt0(sz10,X0)
| ~ aInteger0(X0) )
| ~ spl27_4
| ~ spl27_87 ),
inference(resolution,[],[f827,f364]) ).
fof(f1737,plain,
( spl27_200
| ~ spl27_5
| ~ spl27_87 ),
inference(avatar_split_clause,[],[f850,f826,f367,f1735]) ).
fof(f850,plain,
( ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sz00,X0)
| ~ aInteger0(X0) )
| ~ spl27_5
| ~ spl27_87 ),
inference(resolution,[],[f827,f369]) ).
fof(f1733,plain,
( spl27_199
| ~ spl27_4
| ~ spl27_86 ),
inference(avatar_split_clause,[],[f842,f822,f362,f1731]) ).
fof(f842,plain,
( ! [X0] :
( sdtpldt0(X0,sz10) = sdtpldt0(sz10,X0)
| ~ aInteger0(X0) )
| ~ spl27_4
| ~ spl27_86 ),
inference(resolution,[],[f823,f364]) ).
fof(f1729,plain,
( spl27_198
| ~ spl27_5
| ~ spl27_86 ),
inference(avatar_split_clause,[],[f841,f822,f367,f1727]) ).
fof(f841,plain,
( ! [X0] :
( sdtpldt0(X0,sz00) = sdtpldt0(sz00,X0)
| ~ aInteger0(X0) )
| ~ spl27_5
| ~ spl27_86 ),
inference(resolution,[],[f823,f369]) ).
fof(f1723,plain,
( spl27_197
| ~ spl27_55
| ~ spl27_65 ),
inference(avatar_split_clause,[],[f743,f693,f652,f1720]) ).
fof(f743,plain,
( smndt0(smndt0(sz10)) = sdtasdt0(smndt0(sz10),smndt0(sz10))
| ~ spl27_55
| ~ spl27_65 ),
inference(resolution,[],[f694,f653]) ).
fof(f1718,plain,
( spl27_196
| ~ spl27_25
| ~ spl27_59 ),
inference(avatar_split_clause,[],[f732,f668,f458,f1716]) ).
fof(f668,plain,
( spl27_59
<=> ! [X0,X1,X3] :
( ~ aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_59])]) ).
fof(f732,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,stldt0(X1))
| ~ aElementOf0(X0,X1)
| ~ sP5(X1) )
| ~ spl27_25
| ~ spl27_59 ),
inference(resolution,[],[f669,f459]) ).
fof(f669,plain,
( ! [X3,X0,X1] :
( ~ sP4(X0,X1)
| ~ aElementOf0(X3,X1)
| ~ aElementOf0(X3,X0) )
| ~ spl27_59 ),
inference(avatar_component_clause,[],[f668]) ).
fof(f1714,plain,
( spl27_195
| ~ spl27_11
| ~ spl27_57 ),
inference(avatar_split_clause,[],[f719,f660,f395,f1712]) ).
fof(f1712,plain,
( spl27_195
<=> ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP2(X1)
| sP1(sK16(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_195])]) ).
fof(f719,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP2(X1)
| sP1(sK16(X1,X0)) )
| ~ spl27_11
| ~ spl27_57 ),
inference(resolution,[],[f661,f396]) ).
fof(f1710,plain,
( spl27_194
| ~ spl27_15
| ~ spl27_36 ),
inference(avatar_split_clause,[],[f541,f507,f417,f1708]) ).
fof(f541,plain,
( ! [X0] :
( smndt0(X0) = sdtasdt0(sz10,smndt0(X0))
| ~ aInteger0(X0) )
| ~ spl27_15
| ~ spl27_36 ),
inference(resolution,[],[f508,f418]) ).
fof(f1703,plain,
( ~ spl27_4
| ~ spl27_1
| spl27_193
| ~ spl27_7
| ~ spl27_131 ),
inference(avatar_split_clause,[],[f1123,f1105,f376,f1701,f347,f362]) ).
fof(f1123,plain,
( ! [X0] :
( ~ aDivisorOf0(X0,sz10)
| sdteqdtlpzmzozddtrp0(sz10,xp,X0)
| sz00 = X0
| ~ aInteger0(X0)
| ~ aInteger0(xp)
| ~ aInteger0(sz10) )
| ~ spl27_7
| ~ spl27_131 ),
inference(superposition,[],[f1106,f378]) ).
fof(f1694,plain,
( spl27_192
| ~ spl27_4
| ~ spl27_6
| ~ spl27_187 ),
inference(avatar_split_clause,[],[f1665,f1648,f372,f362,f1691]) ).
fof(f1665,plain,
( sz10 = sdtpldt0(xp,sz10)
| ~ spl27_4
| ~ spl27_6
| ~ spl27_187 ),
inference(forward_demodulation,[],[f1656,f374]) ).
fof(f1689,plain,
( spl27_191
| ~ spl27_15
| ~ spl27_35 ),
inference(avatar_split_clause,[],[f537,f503,f417,f1687]) ).
fof(f537,plain,
( ! [X0] :
( smndt0(X0) = sdtasdt0(smndt0(X0),sz10)
| ~ aInteger0(X0) )
| ~ spl27_15
| ~ spl27_35 ),
inference(resolution,[],[f504,f418]) ).
fof(f1685,plain,
( spl27_190
| ~ spl27_15
| ~ spl27_34 ),
inference(avatar_split_clause,[],[f533,f499,f417,f1683]) ).
fof(f533,plain,
( ! [X0] :
( smndt0(X0) = sdtpldt0(sz00,smndt0(X0))
| ~ aInteger0(X0) )
| ~ spl27_15
| ~ spl27_34 ),
inference(resolution,[],[f500,f418]) ).
fof(f1681,plain,
( spl27_189
| ~ spl27_15
| ~ spl27_33 ),
inference(avatar_split_clause,[],[f529,f495,f417,f1679]) ).
fof(f529,plain,
( ! [X0] :
( smndt0(X0) = sdtpldt0(smndt0(X0),sz00)
| ~ aInteger0(X0) )
| ~ spl27_15
| ~ spl27_33 ),
inference(resolution,[],[f496,f418]) ).
fof(f1654,plain,
( spl27_188
| ~ spl27_1
| ~ spl27_87 ),
inference(avatar_split_clause,[],[f856,f826,f347,f1652]) ).
fof(f856,plain,
( ! [X0] :
( sdtasdt0(X0,xp) = sdtasdt0(xp,X0)
| ~ aInteger0(X0) )
| ~ spl27_1
| ~ spl27_87 ),
inference(resolution,[],[f827,f349]) ).
fof(f1650,plain,
( spl27_187
| ~ spl27_1
| ~ spl27_86 ),
inference(avatar_split_clause,[],[f847,f822,f347,f1648]) ).
fof(f847,plain,
( ! [X0] :
( sdtpldt0(X0,xp) = sdtpldt0(xp,X0)
| ~ aInteger0(X0) )
| ~ spl27_1
| ~ spl27_86 ),
inference(resolution,[],[f823,f349]) ).
fof(f1533,plain,
( spl27_186
| ~ spl27_42
| ~ spl27_65 ),
inference(avatar_split_clause,[],[f742,f693,f566,f1530]) ).
fof(f1530,plain,
( spl27_186
<=> sz00 = sdtpldt0(smndt0(smndt0(sz10)),smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_186])]) ).
fof(f742,plain,
( sz00 = sdtpldt0(smndt0(smndt0(sz10)),smndt0(sz10))
| ~ spl27_42
| ~ spl27_65 ),
inference(resolution,[],[f694,f567]) ).
fof(f1528,plain,
( spl27_185
| ~ spl27_41
| ~ spl27_65 ),
inference(avatar_split_clause,[],[f741,f693,f562,f1525]) ).
fof(f1525,plain,
( spl27_185
<=> sz00 = sdtpldt0(smndt0(sz10),smndt0(smndt0(sz10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_185])]) ).
fof(f741,plain,
( sz00 = sdtpldt0(smndt0(sz10),smndt0(smndt0(sz10)))
| ~ spl27_41
| ~ spl27_65 ),
inference(resolution,[],[f694,f563]) ).
fof(f1523,plain,
( spl27_184
| ~ spl27_11
| ~ spl27_53 ),
inference(avatar_split_clause,[],[f642,f611,f395,f1521]) ).
fof(f1521,plain,
( spl27_184
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sP1(sdtasdt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_184])]) ).
fof(f642,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sP1(sdtasdt0(X1,X0)) )
| ~ spl27_11
| ~ spl27_53 ),
inference(resolution,[],[f612,f396]) ).
fof(f1519,plain,
( spl27_183
| ~ spl27_11
| ~ spl27_51 ),
inference(avatar_split_clause,[],[f632,f602,f395,f1517]) ).
fof(f1517,plain,
( spl27_183
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sP1(sdtpldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_183])]) ).
fof(f632,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sP1(sdtpldt0(X1,X0)) )
| ~ spl27_11
| ~ spl27_51 ),
inference(resolution,[],[f603,f396]) ).
fof(f1515,plain,
( spl27_182
| ~ spl27_26
| ~ spl27_48 ),
inference(avatar_split_clause,[],[f626,f590,f462,f1513]) ).
fof(f590,plain,
( spl27_48
<=> ! [X5,X1,X0] :
( aInteger0(X5)
| ~ aElementOf0(X5,X1)
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_48])]) ).
fof(f626,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,sbsmnsldt0(X1))
| aInteger0(X0)
| ~ sP7(X1) )
| ~ spl27_26
| ~ spl27_48 ),
inference(resolution,[],[f591,f463]) ).
fof(f591,plain,
( ! [X0,X1,X5] :
( ~ sP6(X0,X1)
| ~ aElementOf0(X5,X1)
| aInteger0(X5) )
| ~ spl27_48 ),
inference(avatar_component_clause,[],[f590]) ).
fof(f1511,plain,
( ~ spl27_181
| spl27_154
| ~ spl27_177 ),
inference(avatar_split_clause,[],[f1494,f1477,f1319,f1508]) ).
fof(f1508,plain,
( spl27_181
<=> sP9(sz10,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_181])]) ).
fof(f1319,plain,
( spl27_154
<=> aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_154])]) ).
fof(f1477,plain,
( spl27_177
<=> ! [X0,X1] :
( ~ sP9(X0,X1)
| aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_177])]) ).
fof(f1494,plain,
( ~ sP9(sz10,xp)
| spl27_154
| ~ spl27_177 ),
inference(resolution,[],[f1478,f1320]) ).
fof(f1320,plain,
( ~ aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| spl27_154 ),
inference(avatar_component_clause,[],[f1319]) ).
fof(f1478,plain,
( ! [X0,X1] :
( aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
| ~ sP9(X0,X1) )
| ~ spl27_177 ),
inference(avatar_component_clause,[],[f1477]) ).
fof(f1506,plain,
( spl27_180
| ~ spl27_25
| ~ spl27_47 ),
inference(avatar_split_clause,[],[f625,f586,f458,f1504]) ).
fof(f586,plain,
( spl27_47
<=> ! [X0,X1,X3] :
( aInteger0(X3)
| ~ aElementOf0(X3,X1)
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_47])]) ).
fof(f625,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,stldt0(X1))
| aInteger0(X0)
| ~ sP5(X1) )
| ~ spl27_25
| ~ spl27_47 ),
inference(resolution,[],[f587,f459]) ).
fof(f587,plain,
( ! [X3,X0,X1] :
( ~ sP4(X0,X1)
| ~ aElementOf0(X3,X1)
| aInteger0(X3) )
| ~ spl27_47 ),
inference(avatar_component_clause,[],[f586]) ).
fof(f1502,plain,
( spl27_179
| ~ spl27_15
| ~ spl27_32 ),
inference(avatar_split_clause,[],[f525,f491,f417,f1500]) ).
fof(f525,plain,
( ! [X0] :
( sz00 = sdtasdt0(sz00,smndt0(X0))
| ~ aInteger0(X0) )
| ~ spl27_15
| ~ spl27_32 ),
inference(resolution,[],[f492,f418]) ).
fof(f1498,plain,
( spl27_178
| ~ spl27_15
| ~ spl27_30 ),
inference(avatar_split_clause,[],[f521,f482,f417,f1496]) ).
fof(f521,plain,
( ! [X0] :
( sz00 = sdtasdt0(smndt0(X0),sz00)
| ~ aInteger0(X0) )
| ~ spl27_15
| ~ spl27_30 ),
inference(resolution,[],[f483,f418]) ).
fof(f1479,plain,
( spl27_177
| ~ spl27_24
| ~ spl27_67 ),
inference(avatar_split_clause,[],[f746,f702,f454,f1477]) ).
fof(f454,plain,
( spl27_24
<=> ! [X2,X0,X1] :
( aSet0(X2)
| ~ sP8(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_24])]) ).
fof(f746,plain,
( ! [X0,X1] :
( ~ sP9(X0,X1)
| aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
| ~ spl27_24
| ~ spl27_67 ),
inference(resolution,[],[f703,f455]) ).
fof(f455,plain,
( ! [X2,X0,X1] :
( ~ sP8(X0,X1,X2)
| aSet0(X2) )
| ~ spl27_24 ),
inference(avatar_component_clause,[],[f454]) ).
fof(f1475,plain,
( spl27_176
| ~ spl27_34
| ~ spl27_65 ),
inference(avatar_split_clause,[],[f738,f693,f499,f1472]) ).
fof(f1472,plain,
( spl27_176
<=> smndt0(sz10) = sdtpldt0(sz00,smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_176])]) ).
fof(f738,plain,
( smndt0(sz10) = sdtpldt0(sz00,smndt0(sz10))
| ~ spl27_34
| ~ spl27_65 ),
inference(resolution,[],[f694,f500]) ).
fof(f1470,plain,
( spl27_175
| ~ spl27_33
| ~ spl27_65 ),
inference(avatar_split_clause,[],[f737,f693,f495,f1467]) ).
fof(f1467,plain,
( spl27_175
<=> smndt0(sz10) = sdtpldt0(smndt0(sz10),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_175])]) ).
fof(f737,plain,
( smndt0(sz10) = sdtpldt0(smndt0(sz10),sz00)
| ~ spl27_33
| ~ spl27_65 ),
inference(resolution,[],[f694,f496]) ).
fof(f1465,plain,
( spl27_174
| ~ spl27_4
| ~ spl27_56 ),
inference(avatar_split_clause,[],[f713,f656,f362,f1462]) ).
fof(f713,plain,
( smndt0(sz10) = sdtasdt0(sz10,smndt0(sz10))
| ~ spl27_4
| ~ spl27_56 ),
inference(resolution,[],[f657,f364]) ).
fof(f1459,plain,
( spl27_173
| ~ spl27_5
| ~ spl27_56 ),
inference(avatar_split_clause,[],[f712,f656,f367,f1456]) ).
fof(f1456,plain,
( spl27_173
<=> smndt0(sz00) = sdtasdt0(sz00,smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_173])]) ).
fof(f712,plain,
( smndt0(sz00) = sdtasdt0(sz00,smndt0(sz10))
| ~ spl27_5
| ~ spl27_56 ),
inference(resolution,[],[f657,f369]) ).
fof(f1454,plain,
( spl27_172
| ~ spl27_4
| ~ spl27_55 ),
inference(avatar_split_clause,[],[f706,f652,f362,f1451]) ).
fof(f1451,plain,
( spl27_172
<=> smndt0(sz10) = sdtasdt0(smndt0(sz10),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_172])]) ).
fof(f706,plain,
( smndt0(sz10) = sdtasdt0(smndt0(sz10),sz10)
| ~ spl27_4
| ~ spl27_55 ),
inference(resolution,[],[f653,f364]) ).
fof(f1443,plain,
( spl27_171
| ~ spl27_163
| ~ spl27_170 ),
inference(avatar_split_clause,[],[f1438,f1434,f1369,f1440]) ).
fof(f1434,plain,
( spl27_170
<=> smndt0(sz00) = sdtasdt0(smndt0(sz10),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_170])]) ).
fof(f1438,plain,
( sz00 = smndt0(sz00)
| ~ spl27_163
| ~ spl27_170 ),
inference(forward_demodulation,[],[f1436,f1371]) ).
fof(f1436,plain,
( smndt0(sz00) = sdtasdt0(smndt0(sz10),sz00)
| ~ spl27_170 ),
inference(avatar_component_clause,[],[f1434]) ).
fof(f1437,plain,
( spl27_170
| ~ spl27_5
| ~ spl27_55 ),
inference(avatar_split_clause,[],[f705,f652,f367,f1434]) ).
fof(f705,plain,
( smndt0(sz00) = sdtasdt0(smndt0(sz10),sz00)
| ~ spl27_5
| ~ spl27_55 ),
inference(resolution,[],[f653,f369]) ).
fof(f1432,plain,
( spl27_169
| ~ spl27_11
| ~ spl27_37 ),
inference(avatar_split_clause,[],[f543,f511,f395,f1430]) ).
fof(f1430,plain,
( spl27_169
<=> ! [X0,X1] :
( ~ sP0(X0,X1)
| sP1(sK14(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_169])]) ).
fof(f543,plain,
( ! [X0,X1] :
( ~ sP0(X0,X1)
| sP1(sK14(X0,X1)) )
| ~ spl27_11
| ~ spl27_37 ),
inference(resolution,[],[f512,f396]) ).
fof(f1418,plain,
( spl27_168
| ~ spl27_1
| ~ spl27_56 ),
inference(avatar_split_clause,[],[f717,f656,f347,f1415]) ).
fof(f717,plain,
( smndt0(xp) = sdtasdt0(xp,smndt0(sz10))
| ~ spl27_1
| ~ spl27_56 ),
inference(resolution,[],[f657,f349]) ).
fof(f1413,plain,
( spl27_167
| ~ spl27_1
| ~ spl27_55 ),
inference(avatar_split_clause,[],[f710,f652,f347,f1410]) ).
fof(f710,plain,
( smndt0(xp) = sdtasdt0(smndt0(sz10),xp)
| ~ spl27_1
| ~ spl27_55 ),
inference(resolution,[],[f653,f349]) ).
fof(f1408,plain,
( ~ spl27_165
| spl27_166
| ~ spl27_12
| ~ spl27_25 ),
inference(avatar_split_clause,[],[f471,f458,f402,f1405,f1401]) ).
fof(f1401,plain,
( spl27_165
<=> sP5(sbsmnsldt0(cS2043)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_165])]) ).
fof(f1405,plain,
( spl27_166
<=> sP4(sbsmnsldt0(cS2043),cS2076) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_166])]) ).
fof(f402,plain,
( spl27_12
<=> cS2076 = stldt0(sbsmnsldt0(cS2043)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_12])]) ).
fof(f471,plain,
( sP4(sbsmnsldt0(cS2043),cS2076)
| ~ sP5(sbsmnsldt0(cS2043))
| ~ spl27_12
| ~ spl27_25 ),
inference(superposition,[],[f459,f404]) ).
fof(f404,plain,
( cS2076 = stldt0(sbsmnsldt0(cS2043))
| ~ spl27_12 ),
inference(avatar_component_clause,[],[f402]) ).
fof(f1377,plain,
( spl27_164
| ~ spl27_32
| ~ spl27_65 ),
inference(avatar_split_clause,[],[f736,f693,f491,f1374]) ).
fof(f736,plain,
( sz00 = sdtasdt0(sz00,smndt0(sz10))
| ~ spl27_32
| ~ spl27_65 ),
inference(resolution,[],[f694,f492]) ).
fof(f1372,plain,
( spl27_163
| ~ spl27_30
| ~ spl27_65 ),
inference(avatar_split_clause,[],[f735,f693,f482,f1369]) ).
fof(f735,plain,
( sz00 = sdtasdt0(smndt0(sz10),sz00)
| ~ spl27_30
| ~ spl27_65 ),
inference(resolution,[],[f694,f483]) ).
fof(f1367,plain,
( spl27_162
| ~ spl27_4
| ~ spl27_42 ),
inference(avatar_split_clause,[],[f620,f566,f362,f1364]) ).
fof(f620,plain,
( sz00 = sdtpldt0(smndt0(sz10),sz10)
| ~ spl27_4
| ~ spl27_42 ),
inference(resolution,[],[f567,f364]) ).
fof(f1362,plain,
( spl27_161
| ~ spl27_5
| ~ spl27_42 ),
inference(avatar_split_clause,[],[f619,f566,f367,f1359]) ).
fof(f1359,plain,
( spl27_161
<=> sz00 = sdtpldt0(smndt0(sz00),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_161])]) ).
fof(f619,plain,
( sz00 = sdtpldt0(smndt0(sz00),sz00)
| ~ spl27_5
| ~ spl27_42 ),
inference(resolution,[],[f567,f369]) ).
fof(f1357,plain,
( spl27_160
| ~ spl27_4
| ~ spl27_41 ),
inference(avatar_split_clause,[],[f615,f562,f362,f1354]) ).
fof(f615,plain,
( sz00 = sdtpldt0(sz10,smndt0(sz10))
| ~ spl27_4
| ~ spl27_41 ),
inference(resolution,[],[f563,f364]) ).
fof(f1352,plain,
( spl27_159
| ~ spl27_5
| ~ spl27_41 ),
inference(avatar_split_clause,[],[f614,f562,f367,f1349]) ).
fof(f1349,plain,
( spl27_159
<=> sz00 = sdtpldt0(sz00,smndt0(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_159])]) ).
fof(f614,plain,
( sz00 = sdtpldt0(sz00,smndt0(sz00))
| ~ spl27_5
| ~ spl27_41 ),
inference(resolution,[],[f563,f369]) ).
fof(f1341,plain,
( spl27_158
| ~ spl27_1
| ~ spl27_42 ),
inference(avatar_split_clause,[],[f622,f566,f347,f1338]) ).
fof(f622,plain,
( sz00 = sdtpldt0(smndt0(xp),xp)
| ~ spl27_1
| ~ spl27_42 ),
inference(resolution,[],[f567,f349]) ).
fof(f1336,plain,
( spl27_156
| ~ spl27_157
| ~ spl27_19
| ~ spl27_152 ),
inference(avatar_split_clause,[],[f1308,f1273,f433,f1333,f1329]) ).
fof(f1329,plain,
( spl27_156
<=> sP5(cS1395) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_156])]) ).
fof(f1333,plain,
( spl27_157
<=> aSet0(cS1395) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_157])]) ).
fof(f1273,plain,
( spl27_152
<=> ! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_152])]) ).
fof(f1308,plain,
( ~ aSet0(cS1395)
| sP5(cS1395)
| ~ spl27_19
| ~ spl27_152 ),
inference(resolution,[],[f1274,f434]) ).
fof(f1274,plain,
( ! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) )
| ~ spl27_152 ),
inference(avatar_component_clause,[],[f1273]) ).
fof(f1327,plain,
( spl27_155
| ~ spl27_1
| ~ spl27_41 ),
inference(avatar_split_clause,[],[f617,f562,f347,f1324]) ).
fof(f617,plain,
( sz00 = sdtpldt0(xp,smndt0(xp))
| ~ spl27_1
| ~ spl27_41 ),
inference(resolution,[],[f563,f349]) ).
fof(f1322,plain,
( ~ spl27_153
| spl27_154
| ~ spl27_13
| ~ spl27_29 ),
inference(avatar_split_clause,[],[f518,f478,f407,f1319,f1315]) ).
fof(f1315,plain,
( spl27_153
<=> aSet0(cS2076) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_153])]) ).
fof(f407,plain,
( spl27_13
<=> aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),cS2076) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_13])]) ).
fof(f518,plain,
( aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ~ aSet0(cS2076)
| ~ spl27_13
| ~ spl27_29 ),
inference(resolution,[],[f479,f409]) ).
fof(f409,plain,
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),cS2076)
| ~ spl27_13 ),
inference(avatar_component_clause,[],[f407]) ).
fof(f1275,plain,
( spl27_152
| ~ spl27_89
| ~ spl27_90 ),
inference(avatar_split_clause,[],[f917,f864,f860,f1273]) ).
fof(f860,plain,
( spl27_89
<=> ! [X0,X1] :
( aSubsetOf0(X1,X0)
| aElementOf0(sK12(X0,X1),X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_89])]) ).
fof(f864,plain,
( spl27_90
<=> ! [X0,X1] :
( aSubsetOf0(X1,X0)
| ~ aElementOf0(sK12(X0,X1),X0)
| ~ aSet0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_90])]) ).
fof(f917,plain,
( ! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) )
| ~ spl27_89
| ~ spl27_90 ),
inference(duplicate_literal_removal,[],[f916]) ).
fof(f916,plain,
( ! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0)
| ~ aSet0(X0)
| aSubsetOf0(X0,X0)
| ~ aSet0(X0)
| ~ aSet0(X0) )
| ~ spl27_89
| ~ spl27_90 ),
inference(resolution,[],[f865,f861]) ).
fof(f861,plain,
( ! [X0,X1] :
( aElementOf0(sK12(X0,X1),X1)
| aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ~ aSet0(X0) )
| ~ spl27_89 ),
inference(avatar_component_clause,[],[f860]) ).
fof(f865,plain,
( ! [X0,X1] :
( ~ aElementOf0(sK12(X0,X1),X0)
| aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ~ aSet0(X0) )
| ~ spl27_90 ),
inference(avatar_component_clause,[],[f864]) ).
fof(f1271,plain,
( spl27_151
| ~ spl27_4
| ~ spl27_35 ),
inference(avatar_split_clause,[],[f536,f503,f362,f1268]) ).
fof(f536,plain,
( sz10 = sdtasdt0(sz10,sz10)
| ~ spl27_4
| ~ spl27_35 ),
inference(resolution,[],[f504,f364]) ).
fof(f1266,plain,
( spl27_150
| ~ spl27_4
| ~ spl27_34 ),
inference(avatar_split_clause,[],[f532,f499,f362,f1263]) ).
fof(f532,plain,
( sz10 = sdtpldt0(sz00,sz10)
| ~ spl27_4
| ~ spl27_34 ),
inference(resolution,[],[f500,f364]) ).
fof(f1261,plain,
( spl27_149
| ~ spl27_4
| ~ spl27_33 ),
inference(avatar_split_clause,[],[f528,f495,f362,f1258]) ).
fof(f528,plain,
( sz10 = sdtpldt0(sz10,sz00)
| ~ spl27_4
| ~ spl27_33 ),
inference(resolution,[],[f496,f364]) ).
fof(f1256,plain,
( spl27_148
| ~ spl27_5
| ~ spl27_33 ),
inference(avatar_split_clause,[],[f527,f495,f367,f1253]) ).
fof(f527,plain,
( sz00 = sdtpldt0(sz00,sz00)
| ~ spl27_5
| ~ spl27_33 ),
inference(resolution,[],[f496,f369]) ).
fof(f1251,plain,
( spl27_147
| ~ spl27_4
| ~ spl27_32 ),
inference(avatar_split_clause,[],[f524,f491,f362,f1248]) ).
fof(f524,plain,
( sz00 = sdtasdt0(sz00,sz10)
| ~ spl27_4
| ~ spl27_32 ),
inference(resolution,[],[f492,f364]) ).
fof(f1246,plain,
( spl27_146
| ~ spl27_4
| ~ spl27_30 ),
inference(avatar_split_clause,[],[f520,f482,f362,f1243]) ).
fof(f520,plain,
( sz00 = sdtasdt0(sz10,sz00)
| ~ spl27_4
| ~ spl27_30 ),
inference(resolution,[],[f483,f364]) ).
fof(f1241,plain,
( spl27_145
| ~ spl27_5
| ~ spl27_30 ),
inference(avatar_split_clause,[],[f519,f482,f367,f1238]) ).
fof(f519,plain,
( sz00 = sdtasdt0(sz00,sz00)
| ~ spl27_5
| ~ spl27_30 ),
inference(resolution,[],[f483,f369]) ).
fof(f1228,plain,
spl27_144,
inference(avatar_split_clause,[],[f302,f1226]) ).
fof(f1226,plain,
( spl27_144
<=> ! [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_144])]) ).
fof(f302,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,[],[f187]) ).
fof(f187,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])],[f185,f186]) ).
fof(f186,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(f185,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,[],[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(flattening,[],[f183]) ).
fof(f183,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,[],[f128]) ).
fof(f128,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(f1208,plain,
spl27_143,
inference(avatar_split_clause,[],[f325,f1206]) ).
fof(f325,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,[],[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(flattening,[],[f109]) ).
fof(f109,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/sandbox/benchmark/theBenchmark.p',mEquModMul) ).
fof(f1204,plain,
spl27_142,
inference(avatar_split_clause,[],[f324,f1202]) ).
fof(f324,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,[],[f110]) ).
fof(f1200,plain,
spl27_141,
inference(avatar_split_clause,[],[f286,f1198]) ).
fof(f1198,plain,
( spl27_141
<=> ! [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_141])]) ).
fof(f286,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,[],[f182]) ).
fof(f182,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])],[f180,f181]) ).
fof(f181,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(f180,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,[],[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(flattening,[],[f178]) ).
fof(f178,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,[],[f125]) ).
fof(f125,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(f1193,plain,
spl27_140,
inference(avatar_split_clause,[],[f326,f1191]) ).
fof(f326,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,[],[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(flattening,[],[f111]) ).
fof(f111,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/sandbox/benchmark/theBenchmark.p',mEquModTrn) ).
fof(f1189,plain,
( spl27_139
| ~ spl27_18
| ~ spl27_25 ),
inference(avatar_split_clause,[],[f470,f458,f429,f1187]) ).
fof(f1187,plain,
( spl27_139
<=> ! [X0] :
( ~ sP5(X0)
| aSet0(stldt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_139])]) ).
fof(f429,plain,
( spl27_18
<=> ! [X0,X1] :
( aSet0(X1)
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_18])]) ).
fof(f470,plain,
( ! [X0] :
( ~ sP5(X0)
| aSet0(stldt0(X0)) )
| ~ spl27_18
| ~ spl27_25 ),
inference(resolution,[],[f459,f430]) ).
fof(f430,plain,
( ! [X0,X1] :
( ~ sP4(X0,X1)
| aSet0(X1) )
| ~ spl27_18 ),
inference(avatar_component_clause,[],[f429]) ).
fof(f1174,plain,
spl27_138,
inference(avatar_split_clause,[],[f311,f1172]) ).
fof(f311,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,[],[f194]) ).
fof(f194,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])],[f192,f193]) ).
fof(f193,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(f192,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,[],[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(flattening,[],[f190]) ).
fof(f190,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,[],[f130]) ).
fof(f130,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(f1166,plain,
spl27_137,
inference(avatar_split_clause,[],[f313,f1164]) ).
fof(f1164,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(f313,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,[],[f194]) ).
fof(f1162,plain,
spl27_136,
inference(avatar_split_clause,[],[f312,f1160]) ).
fof(f1160,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(f312,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,[],[f194]) ).
fof(f1150,plain,
( ~ spl27_4
| ~ spl27_1
| spl27_135
| ~ spl27_7
| ~ spl27_129 ),
inference(avatar_split_clause,[],[f1120,f1097,f376,f1148,f347,f362]) ).
fof(f1148,plain,
( spl27_135
<=> ! [X0] :
( aDivisorOf0(X0,sz10)
| ~ aInteger0(X0)
| sz00 = X0
| ~ sdteqdtlpzmzozddtrp0(sz10,xp,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_135])]) ).
fof(f1120,plain,
( ! [X0] :
( aDivisorOf0(X0,sz10)
| ~ sdteqdtlpzmzozddtrp0(sz10,xp,X0)
| sz00 = X0
| ~ aInteger0(X0)
| ~ aInteger0(xp)
| ~ aInteger0(sz10) )
| ~ spl27_7
| ~ spl27_129 ),
inference(superposition,[],[f1098,f378]) ).
fof(f1146,plain,
spl27_134,
inference(avatar_split_clause,[],[f270,f1144]) ).
fof(f270,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,[],[f172]) ).
fof(f172,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])],[f168,f171,f170,f169]) ).
fof(f169,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(f170,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(f171,plain,
! [X0,X5] :
( ? [X7] :
( aElementOf0(X5,X7)
& aElementOf0(X7,X0) )
=> ( aElementOf0(X5,sK21(X0,X5))
& aElementOf0(sK21(X0,X5),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f168,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,[],[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(flattening,[],[f166]) ).
fof(f166,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,[],[f122]) ).
fof(f122,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(f1115,plain,
spl27_133,
inference(avatar_split_clause,[],[f323,f1113]) ).
fof(f323,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,[],[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(flattening,[],[f107]) ).
fof(f107,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/sandbox/benchmark/theBenchmark.p',mDistrib) ).
fof(f1111,plain,
spl27_132,
inference(avatar_split_clause,[],[f322,f1109]) ).
fof(f322,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,[],[f108]) ).
fof(f1107,plain,
spl27_131,
inference(avatar_split_clause,[],[f319,f1105]) ).
fof(f319,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,[],[f197]) ).
fof(f197,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,[],[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(flattening,[],[f101]) ).
fof(f101,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/sandbox/benchmark/theBenchmark.p',mEquMod) ).
fof(f1103,plain,
( spl27_130
| ~ spl27_11
| ~ spl27_15 ),
inference(avatar_split_clause,[],[f440,f417,f395,f1101]) ).
fof(f1101,plain,
( spl27_130
<=> ! [X0] :
( ~ aInteger0(X0)
| sP1(smndt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_130])]) ).
fof(f440,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sP1(smndt0(X0)) )
| ~ spl27_11
| ~ spl27_15 ),
inference(resolution,[],[f418,f396]) ).
fof(f1099,plain,
spl27_129,
inference(avatar_split_clause,[],[f318,f1097]) ).
fof(f318,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,[],[f197]) ).
fof(f1095,plain,
spl27_128,
inference(avatar_split_clause,[],[f285,f1093]) ).
fof(f285,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,[],[f182]) ).
fof(f1091,plain,
spl27_127,
inference(avatar_split_clause,[],[f256,f1089]) ).
fof(f1089,plain,
( spl27_127
<=> ! [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_127])]) ).
fof(f256,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,[],[f160]) ).
fof(f160,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])],[f158,f159]) ).
fof(f159,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(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) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X1)
| aElementOf0(X3,X0)
| ~ aInteger0(X3) )
& ( ( ~ aElementOf0(X3,X0)
& aInteger0(X3) )
| ~ aElementOf0(X3,X1) ) )
& aSet0(X1) )
| ~ sP4(X0,X1) ) ),
inference(rectify,[],[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(flattening,[],[f156]) ).
fof(f156,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,[],[f119]) ).
fof(f119,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(f1063,plain,
spl27_126,
inference(avatar_split_clause,[],[f321,f1061]) ).
fof(f321,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X0,X1),X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0,X1,X2] :
( sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X0,X1),X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f105]) ).
fof(f105,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/sandbox/benchmark/theBenchmark.p',mMulAsso) ).
fof(f1056,plain,
spl27_125,
inference(avatar_split_clause,[],[f320,f1054]) ).
fof(f320,plain,
! [X2,X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0,X1,X2] :
( sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f103]) ).
fof(f103,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/sandbox/benchmark/theBenchmark.p',mAddAsso) ).
fof(f1052,plain,
spl27_124,
inference(avatar_split_clause,[],[f317,f1050]) ).
fof(f317,plain,
! [X2,X0,X1] :
( sdteqdtlpzmzozddtrp0(X1,X0,X2)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0,X1,X2] :
( sdteqdtlpzmzozddtrp0(X1,X0,X2)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f99]) ).
fof(f99,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/sandbox/benchmark/theBenchmark.p',mEquModSym) ).
fof(f1048,plain,
spl27_123,
inference(avatar_split_clause,[],[f316,f1046]) ).
fof(f1046,plain,
( spl27_123
<=> ! [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_123])]) ).
fof(f316,plain,
! [X2,X0,X1] :
( sdtbsmnsldt0(X0,X1) = X2
| ~ sP11(X1,X0,X2)
| ~ aSet0(X2)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[],[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(flattening,[],[f195]) ).
fof(f195,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,[],[f131]) ).
fof(f131,plain,
! [X0,X1] :
( ! [X2] :
( sdtbsmnsldt0(X0,X1) = X2
<=> ( sP11(X1,X0,X2)
& aSet0(X2) ) )
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(definition_folding,[],[f98,f130]) ).
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(flattening,[],[f97]) ).
fof(f97,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/sandbox/benchmark/theBenchmark.p',mUnion) ).
fof(f1044,plain,
spl27_122,
inference(avatar_split_clause,[],[f305,f1042]) ).
fof(f1042,plain,
( spl27_122
<=> ! [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_122])]) ).
fof(f305,plain,
! [X2,X0,X1] :
( sdtslmnbsdt0(X0,X1) = X2
| ~ sP10(X1,X0,X2)
| ~ aSet0(X2)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[],[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(flattening,[],[f188]) ).
fof(f188,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,[],[f129]) ).
fof(f129,plain,
! [X0,X1] :
( ! [X2] :
( sdtslmnbsdt0(X0,X1) = X2
<=> ( sP10(X1,X0,X2)
& aSet0(X2) ) )
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(definition_folding,[],[f96,f128]) ).
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(flattening,[],[f95]) ).
fof(f95,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/sandbox/benchmark/theBenchmark.p',mIntersection) ).
fof(f1040,plain,
spl27_121,
inference(avatar_split_clause,[],[f284,f1038]) ).
fof(f1038,plain,
( spl27_121
<=> ! [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_121])]) ).
fof(f284,plain,
! [X2,X0,X1] :
( sP8(X0,X1,X2)
| aInteger0(sK24(X0,X1,X2))
| aElementOf0(sK24(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f182]) ).
fof(f1034,plain,
spl27_120,
inference(avatar_split_clause,[],[f301,f1032]) ).
fof(f301,plain,
! [X2,X0,X1] :
( sP10(X0,X1,X2)
| aElementOf0(sK25(X0,X1,X2),X0)
| aElementOf0(sK25(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f187]) ).
fof(f1030,plain,
spl27_119,
inference(avatar_split_clause,[],[f300,f1028]) ).
fof(f300,plain,
! [X2,X0,X1] :
( sP10(X0,X1,X2)
| aElementOf0(sK25(X0,X1,X2),X1)
| aElementOf0(sK25(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f187]) ).
fof(f1018,plain,
spl27_118,
inference(avatar_split_clause,[],[f310,f1016]) ).
fof(f1016,plain,
( spl27_118
<=> ! [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_118])]) ).
fof(f310,plain,
! [X2,X0,X1] :
( sP11(X0,X1,X2)
| aInteger0(sK26(X0,X1,X2))
| aElementOf0(sK26(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f194]) ).
fof(f1014,plain,
spl27_117,
inference(avatar_split_clause,[],[f299,f1012]) ).
fof(f1012,plain,
( spl27_117
<=> ! [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_117])]) ).
fof(f299,plain,
! [X2,X0,X1] :
( sP10(X0,X1,X2)
| aInteger0(sK25(X0,X1,X2))
| aElementOf0(sK25(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f187]) ).
fof(f1010,plain,
spl27_116,
inference(avatar_split_clause,[],[f298,f1008]) ).
fof(f298,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElementOf0(X4,X0)
| ~ aElementOf0(X4,X1)
| ~ aInteger0(X4)
| ~ sP10(X0,X1,X2) ),
inference(cnf_transformation,[],[f187]) ).
fof(f1006,plain,
spl27_115,
inference(avatar_split_clause,[],[f292,f1004]) ).
fof(f292,plain,
! [X0,X1] :
( sz00 = X1
| sz00 = X0
| sz00 != sdtasdt0(X0,X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0,X1] :
( sz00 = X1
| sz00 = X0
| sz00 != sdtasdt0(X0,X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f89]) ).
fof(f89,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/sandbox/benchmark/theBenchmark.p',mZeroDiv) ).
fof(f1002,plain,
spl27_114,
inference(avatar_split_clause,[],[f269,f1000]) ).
fof(f1000,plain,
( spl27_114
<=> ! [X0,X1] :
( sP6(X0,X1)
| aElementOf0(sK19(X0,X1),sK20(X0,X1))
| aElementOf0(sK19(X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_114])]) ).
fof(f269,plain,
! [X0,X1] :
( sP6(X0,X1)
| aElementOf0(sK19(X0,X1),sK20(X0,X1))
| aElementOf0(sK19(X0,X1),X1) ),
inference(cnf_transformation,[],[f172]) ).
fof(f997,plain,
spl27_113,
inference(avatar_split_clause,[],[f255,f995]) ).
fof(f995,plain,
( spl27_113
<=> ! [X0,X1] :
( sP4(X0,X1)
| ~ aElementOf0(sK17(X0,X1),X0)
| aElementOf0(sK17(X0,X1),X1)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_113])]) ).
fof(f255,plain,
! [X0,X1] :
( sP4(X0,X1)
| ~ aElementOf0(sK17(X0,X1),X0)
| aElementOf0(sK17(X0,X1),X1)
| ~ aSet0(X1) ),
inference(cnf_transformation,[],[f160]) ).
fof(f992,plain,
spl27_112,
inference(avatar_split_clause,[],[f294,f990]) ).
fof(f990,plain,
( spl27_112
<=> ! [X0,X1] :
( isClosed0(sdtbsmnsldt0(X0,X1))
| ~ isClosed0(X1)
| ~ isClosed0(X0)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_112])]) ).
fof(f294,plain,
! [X0,X1] :
( isClosed0(sdtbsmnsldt0(X0,X1))
| ~ isClosed0(X1)
| ~ isClosed0(X0)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0,X1] :
( isClosed0(sdtbsmnsldt0(X0,X1))
| ~ isClosed0(X1)
| ~ isClosed0(X0)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(flattening,[],[f93]) ).
fof(f93,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/sandbox/benchmark/theBenchmark.p',mUnionClosed) ).
fof(f988,plain,
spl27_111,
inference(avatar_split_clause,[],[f293,f986]) ).
fof(f986,plain,
( spl27_111
<=> ! [X0,X1] :
( isOpen0(sdtslmnbsdt0(X0,X1))
| ~ isOpen0(X1)
| ~ isOpen0(X0)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_111])]) ).
fof(f293,plain,
! [X0,X1] :
( isOpen0(sdtslmnbsdt0(X0,X1))
| ~ isOpen0(X1)
| ~ isOpen0(X0)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0,X1] :
( isOpen0(sdtslmnbsdt0(X0,X1))
| ~ isOpen0(X1)
| ~ isOpen0(X0)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(flattening,[],[f91]) ).
fof(f91,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/sandbox/benchmark/theBenchmark.p',mInterOpen) ).
fof(f984,plain,
spl27_110,
inference(avatar_split_clause,[],[f266,f982]) ).
fof(f266,plain,
! [X0,X1,X6,X5] :
( aElementOf0(X5,X1)
| ~ aElementOf0(X5,X6)
| ~ aElementOf0(X6,X0)
| ~ aInteger0(X5)
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f172]) ).
fof(f980,plain,
spl27_109,
inference(avatar_split_clause,[],[f259,f978]) ).
fof(f978,plain,
( spl27_109
<=> ! [X0] :
( isClosed0(sbsmnsldt0(X0))
| ~ isClosed0(sK18(X0))
| ~ aSubsetOf0(sK18(X0),cS1395)
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_109])]) ).
fof(f259,plain,
! [X0] :
( isClosed0(sbsmnsldt0(X0))
| ~ isClosed0(sK18(X0))
| ~ aSubsetOf0(sK18(X0),cS1395)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f162]) ).
fof(f162,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])],[f70,f161]) ).
fof(f161,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(f70,plain,
! [X0] :
( isClosed0(sbsmnsldt0(X0))
| ? [X1] :
( ( ~ isClosed0(X1)
| ~ aSubsetOf0(X1,cS1395) )
& aElementOf0(X1,X0) )
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f69]) ).
fof(f69,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/sandbox/benchmark/theBenchmark.p',mUnionSClosed) ).
fof(f975,plain,
spl27_108,
inference(avatar_split_clause,[],[f254,f973]) ).
fof(f973,plain,
( spl27_108
<=> ! [X0,X1] :
( sP4(X0,X1)
| aInteger0(sK17(X0,X1))
| aElementOf0(sK17(X0,X1),X1)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_108])]) ).
fof(f254,plain,
! [X0,X1] :
( sP4(X0,X1)
| aInteger0(sK17(X0,X1))
| aElementOf0(sK17(X0,X1),X1)
| ~ aSet0(X1) ),
inference(cnf_transformation,[],[f160]) ).
fof(f963,plain,
spl27_107,
inference(avatar_split_clause,[],[f307,f961]) ).
fof(f307,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X0)
| aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ sP11(X0,X1,X2) ),
inference(cnf_transformation,[],[f194]) ).
fof(f959,plain,
spl27_106,
inference(avatar_split_clause,[],[f283,f957]) ).
fof(f283,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| ~ sdteqdtlpzmzozddtrp0(X4,X1,X0)
| ~ aInteger0(X4)
| ~ sP8(X0,X1,X2) ),
inference(cnf_transformation,[],[f182]) ).
fof(f955,plain,
spl27_105,
inference(avatar_split_clause,[],[f268,f953]) ).
fof(f268,plain,
! [X0,X1] :
( sP6(X0,X1)
| aElementOf0(sK20(X0,X1),X0)
| aElementOf0(sK19(X0,X1),X1) ),
inference(cnf_transformation,[],[f172]) ).
fof(f951,plain,
spl27_104,
inference(avatar_split_clause,[],[f244,f949]) ).
fof(f244,plain,
! [X2,X0] :
( sP2(X0)
| ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sK15(X0),X2),X0)
| sz00 = X2
| ~ aInteger0(X2) ),
inference(cnf_transformation,[],[f153]) ).
fof(f153,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])],[f150,f152,f151]) ).
fof(f151,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(f152,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(f150,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,[],[f149]) ).
fof(f149,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,[],[f116]) ).
fof(f116,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(f945,plain,
spl27_103,
inference(avatar_split_clause,[],[f228,f943]) ).
fof(f228,plain,
! [X0] :
( aDivisorOf0(sK13(X0),X0)
| smndt0(sz10) = X0
| sz10 = X0
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,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])],[f139,f140]) ).
fof(f140,plain,
! [X0] :
( ? [X1] :
( isPrime0(X1)
& aDivisorOf0(X1,X0) )
=> ( isPrime0(sK13(X0))
& aDivisorOf0(sK13(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f139,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,[],[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(flattening,[],[f137]) ).
fof(f137,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,[],[f64]) ).
fof(f64,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/sandbox/benchmark/theBenchmark.p',mPrimeDivisor) ).
fof(f915,plain,
spl27_102,
inference(avatar_split_clause,[],[f342,f913]) ).
fof(f342,plain,
! [X0,X1] :
( sP11(X1,X0,sdtbsmnsldt0(X0,X1))
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(equality_resolution,[],[f315]) ).
fof(f315,plain,
! [X2,X0,X1] :
( sP11(X1,X0,X2)
| sdtbsmnsldt0(X0,X1) != X2
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[],[f196]) ).
fof(f911,plain,
spl27_101,
inference(avatar_split_clause,[],[f340,f909]) ).
fof(f340,plain,
! [X0,X1] :
( sP10(X1,X0,sdtslmnbsdt0(X0,X1))
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(equality_resolution,[],[f304]) ).
fof(f304,plain,
! [X2,X0,X1] :
( sP10(X1,X0,X2)
| sdtslmnbsdt0(X0,X1) != X2
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[],[f189]) ).
fof(f907,plain,
spl27_100,
inference(avatar_split_clause,[],[f334,f905]) ).
fof(f334,plain,
! [X2,X1] :
( sP0(sdtasdt0(X1,X2),X1)
| ~ aInteger0(X2)
| sz00 = X1
| ~ aInteger0(X1) ),
inference(equality_resolution,[],[f236]) ).
fof(f236,plain,
! [X2,X0,X1] :
( sP0(X0,X1)
| sdtasdt0(X1,X2) != X0
| ~ aInteger0(X2)
| sz00 = X1
| ~ aInteger0(X1) ),
inference(cnf_transformation,[],[f147]) ).
fof(f147,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])],[f145,f146]) ).
fof(f146,plain,
! [X0,X1] :
( ? [X3] :
( sdtasdt0(X1,X3) = X0
& aInteger0(X3) )
=> ( sdtasdt0(X1,sK14(X0,X1)) = X0
& aInteger0(sK14(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f145,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,[],[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(flattening,[],[f143]) ).
fof(f143,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,[],[f113]) ).
fof(f113,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(f903,plain,
spl27_99,
inference(avatar_split_clause,[],[f309,f901]) ).
fof(f309,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElementOf0(X4,X0)
| ~ aInteger0(X4)
| ~ sP11(X0,X1,X2) ),
inference(cnf_transformation,[],[f194]) ).
fof(f899,plain,
spl27_98,
inference(avatar_split_clause,[],[f308,f897]) ).
fof(f308,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElementOf0(X4,X1)
| ~ aInteger0(X4)
| ~ sP11(X0,X1,X2) ),
inference(cnf_transformation,[],[f194]) ).
fof(f895,plain,
spl27_97,
inference(avatar_split_clause,[],[f279,f893]) ).
fof(f893,plain,
( spl27_97
<=> ! [X2,X0,X1] :
( szAzrzSzezqlpdtcmdtrp0(X0,X1) = X2
| ~ sP8(X1,X0,X2)
| ~ sP9(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_97])]) ).
fof(f279,plain,
! [X2,X0,X1] :
( szAzrzSzezqlpdtcmdtrp0(X0,X1) = X2
| ~ sP8(X1,X0,X2)
| ~ sP9(X0,X1) ),
inference(cnf_transformation,[],[f177]) ).
fof(f177,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,[],[f126]) ).
fof(f126,plain,
! [X0,X1] :
( ! [X2] :
( szAzrzSzezqlpdtcmdtrp0(X0,X1) = X2
<=> sP8(X1,X0,X2) )
| ~ sP9(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f891,plain,
( spl27_96
| ~ spl27_1
| ~ spl27_36 ),
inference(avatar_split_clause,[],[f542,f507,f347,f888]) ).
fof(f542,plain,
( xp = sdtasdt0(sz10,xp)
| ~ spl27_1
| ~ spl27_36 ),
inference(resolution,[],[f508,f349]) ).
fof(f886,plain,
spl27_95,
inference(avatar_split_clause,[],[f276,f884]) ).
fof(f276,plain,
! [X0,X1] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),cS1395)
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0,X1] :
( ( isClosed0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),cS1395) )
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f77]) ).
fof(f77,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/sandbox/benchmark/theBenchmark.p',mArSeqClosed) ).
fof(f882,plain,
spl27_94,
inference(avatar_split_clause,[],[f274,f880]) ).
fof(f880,plain,
( spl27_94
<=> ! [X0] :
( isOpen0(sbsmnsldt0(X0))
| ~ isOpen0(sK23(X0))
| ~ aSubsetOf0(sK23(X0),cS1395)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_94])]) ).
fof(f274,plain,
! [X0] :
( isOpen0(sbsmnsldt0(X0))
| ~ isOpen0(sK23(X0))
| ~ aSubsetOf0(sK23(X0),cS1395)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f176]) ).
fof(f176,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])],[f74,f175]) ).
fof(f175,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(f74,plain,
! [X0] :
( isOpen0(sbsmnsldt0(X0))
| ? [X1] :
( ( ~ isOpen0(X1)
| ~ aSubsetOf0(X1,cS1395) )
& aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(flattening,[],[f73]) ).
fof(f73,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/sandbox/benchmark/theBenchmark.p',mUnionOpen) ).
fof(f878,plain,
spl27_93,
inference(avatar_split_clause,[],[f267,f876]) ).
fof(f267,plain,
! [X0,X1] :
( sP6(X0,X1)
| aInteger0(sK19(X0,X1))
| aElementOf0(sK19(X0,X1),X1) ),
inference(cnf_transformation,[],[f172]) ).
fof(f874,plain,
spl27_92,
inference(avatar_split_clause,[],[f242,f872]) ).
fof(f242,plain,
! [X3,X0] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X3,sK16(X0,X3)),X0)
| ~ aElementOf0(X3,X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f153]) ).
fof(f870,plain,
spl27_91,
inference(avatar_split_clause,[],[f229,f868]) ).
fof(f868,plain,
( spl27_91
<=> ! [X0] :
( isPrime0(sK13(X0))
| smndt0(sz10) = X0
| sz10 = X0
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_91])]) ).
fof(f229,plain,
! [X0] :
( isPrime0(sK13(X0))
| smndt0(sz10) = X0
| sz10 = X0
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f866,plain,
spl27_90,
inference(avatar_split_clause,[],[f214,f864]) ).
fof(f214,plain,
! [X0,X1] :
( aSubsetOf0(X1,X0)
| ~ aElementOf0(sK12(X0,X1),X0)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f136,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])],[f134,f135]) ).
fof(f135,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK12(X0,X1),X0)
& aElementOf0(sK12(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f134,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,[],[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(flattening,[],[f132]) ).
fof(f132,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,[],[f57]) ).
fof(f57,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/sandbox/benchmark/theBenchmark.p',mSubset) ).
fof(f862,plain,
spl27_89,
inference(avatar_split_clause,[],[f213,f860]) ).
fof(f213,plain,
! [X0,X1] :
( aSubsetOf0(X1,X0)
| aElementOf0(sK12(X0,X1),X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f839,plain,
( spl27_88
| ~ spl27_1
| ~ spl27_35 ),
inference(avatar_split_clause,[],[f538,f503,f347,f836]) ).
fof(f538,plain,
( xp = sdtasdt0(xp,sz10)
| ~ spl27_1
| ~ spl27_35 ),
inference(resolution,[],[f504,f349]) ).
fof(f828,plain,
spl27_87,
inference(avatar_split_clause,[],[f291,f826]) ).
fof(f291,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f87]) ).
fof(f87,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/sandbox/benchmark/theBenchmark.p',mMulComm) ).
fof(f824,plain,
spl27_86,
inference(avatar_split_clause,[],[f290,f822]) ).
fof(f290,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f85]) ).
fof(f85,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/sandbox/benchmark/theBenchmark.p',mAddComm) ).
fof(f820,plain,
( spl27_85
| ~ spl27_1
| ~ spl27_34 ),
inference(avatar_split_clause,[],[f534,f499,f347,f817]) ).
fof(f534,plain,
( xp = sdtpldt0(sz00,xp)
| ~ spl27_1
| ~ spl27_34 ),
inference(resolution,[],[f500,f349]) ).
fof(f815,plain,
spl27_84,
inference(avatar_split_clause,[],[f282,f813]) ).
fof(f282,plain,
! [X2,X0,X1,X4] :
( sdteqdtlpzmzozddtrp0(X4,X1,X0)
| ~ aElementOf0(X4,X2)
| ~ sP8(X0,X1,X2) ),
inference(cnf_transformation,[],[f182]) ).
fof(f811,plain,
spl27_83,
inference(avatar_split_clause,[],[f277,f809]) ).
fof(f809,plain,
( spl27_83
<=> ! [X0,X1] :
( isClosed0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_83])]) ).
fof(f277,plain,
! [X0,X1] :
( isClosed0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f807,plain,
spl27_82,
inference(avatar_split_clause,[],[f275,f805]) ).
fof(f805,plain,
( spl27_82
<=> ! [X0,X1] :
( sdteqdtlpzmzozddtrp0(X0,X0,X1)
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_82])]) ).
fof(f275,plain,
! [X0,X1] :
( sdteqdtlpzmzozddtrp0(X0,X0,X1)
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( sdteqdtlpzmzozddtrp0(X0,X0,X1)
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f75]) ).
fof(f75,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/sandbox/benchmark/theBenchmark.p',mEquModRef) ).
fof(f803,plain,
spl27_81,
inference(avatar_split_clause,[],[f265,f801]) ).
fof(f265,plain,
! [X0,X1,X5] :
( aElementOf0(X5,sK21(X0,X5))
| ~ aElementOf0(X5,X1)
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f172]) ).
fof(f799,plain,
spl27_80,
inference(avatar_split_clause,[],[f264,f797]) ).
fof(f264,plain,
! [X0,X1,X5] :
( aElementOf0(sK21(X0,X5),X0)
| ~ aElementOf0(X5,X1)
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f172]) ).
fof(f795,plain,
spl27_79,
inference(avatar_split_clause,[],[f262,f793]) ).
fof(f793,plain,
( spl27_79
<=> ! [X0,X1] :
( sbsmnsldt0(X0) = X1
| ~ sP6(X0,X1)
| ~ aSet0(X1)
| ~ sP7(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_79])]) ).
fof(f262,plain,
! [X0,X1] :
( sbsmnsldt0(X0) = X1
| ~ sP6(X0,X1)
| ~ aSet0(X1)
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f165]) ).
fof(f165,plain,
! [X0] :
( ! [X1] :
( ( sbsmnsldt0(X0) = X1
| ~ sP6(X0,X1)
| ~ aSet0(X1) )
& ( ( sP6(X0,X1)
& aSet0(X1) )
| sbsmnsldt0(X0) != X1 ) )
| ~ sP7(X0) ),
inference(rectify,[],[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(flattening,[],[f163]) ).
fof(f163,plain,
! [X0] :
( ! [X2] :
( ( sbsmnsldt0(X0) = X2
| ~ sP6(X0,X2)
| ~ aSet0(X2) )
& ( ( sP6(X0,X2)
& aSet0(X2) )
| sbsmnsldt0(X0) != X2 ) )
| ~ sP7(X0) ),
inference(nnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0] :
( ! [X2] :
( sbsmnsldt0(X0) = X2
<=> ( sP6(X0,X2)
& aSet0(X2) ) )
| ~ sP7(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f791,plain,
spl27_78,
inference(avatar_split_clause,[],[f258,f789]) ).
fof(f789,plain,
( spl27_78
<=> ! [X0] :
( isClosed0(sbsmnsldt0(X0))
| aElementOf0(sK18(X0),X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_78])]) ).
fof(f258,plain,
! [X0] :
( isClosed0(sbsmnsldt0(X0))
| aElementOf0(sK18(X0),X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f162]) ).
fof(f787,plain,
spl27_77,
inference(avatar_split_clause,[],[f253,f785]) ).
fof(f253,plain,
! [X3,X0,X1] :
( aElementOf0(X3,X1)
| aElementOf0(X3,X0)
| ~ aInteger0(X3)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f160]) ).
fof(f783,plain,
spl27_76,
inference(avatar_split_clause,[],[f212,f781]) ).
fof(f212,plain,
! [X3,X0,X1] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f779,plain,
spl27_75,
inference(avatar_split_clause,[],[f343,f777]) ).
fof(f777,plain,
( spl27_75
<=> ! [X0,X1] :
( aSet0(sdtbsmnsldt0(X0,X1))
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_75])]) ).
fof(f343,plain,
! [X0,X1] :
( aSet0(sdtbsmnsldt0(X0,X1))
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(equality_resolution,[],[f314]) ).
fof(f314,plain,
! [X2,X0,X1] :
( aSet0(X2)
| sdtbsmnsldt0(X0,X1) != X2
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[],[f196]) ).
fof(f775,plain,
spl27_74,
inference(avatar_split_clause,[],[f341,f773]) ).
fof(f773,plain,
( spl27_74
<=> ! [X0,X1] :
( aSet0(sdtslmnbsdt0(X0,X1))
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_74])]) ).
fof(f341,plain,
! [X0,X1] :
( aSet0(sdtslmnbsdt0(X0,X1))
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(equality_resolution,[],[f303]) ).
fof(f303,plain,
! [X2,X0,X1] :
( aSet0(X2)
| sdtslmnbsdt0(X0,X1) != X2
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[],[f189]) ).
fof(f771,plain,
spl27_73,
inference(avatar_split_clause,[],[f297,f769]) ).
fof(f297,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X0)
| ~ aElementOf0(X4,X2)
| ~ sP10(X0,X1,X2) ),
inference(cnf_transformation,[],[f187]) ).
fof(f767,plain,
spl27_72,
inference(avatar_split_clause,[],[f296,f765]) ).
fof(f296,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ sP10(X0,X1,X2) ),
inference(cnf_transformation,[],[f187]) ).
fof(f763,plain,
( spl27_71
| ~ spl27_11
| ~ spl27_65 ),
inference(avatar_split_clause,[],[f734,f693,f395,f760]) ).
fof(f760,plain,
( spl27_71
<=> sP1(smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_71])]) ).
fof(f734,plain,
( sP1(smndt0(sz10))
| ~ spl27_11
| ~ spl27_65 ),
inference(resolution,[],[f694,f396]) ).
fof(f758,plain,
spl27_70,
inference(avatar_split_clause,[],[f287,f756]) ).
fof(f756,plain,
( spl27_70
<=> ! [X0,X1] :
( sP9(X0,X1)
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_70])]) ).
fof(f287,plain,
! [X0,X1] :
( sP9(X0,X1)
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0,X1] :
( sP9(X0,X1)
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(definition_folding,[],[f80,f126,f125]) ).
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(flattening,[],[f79]) ).
fof(f79,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/sandbox/benchmark/theBenchmark.p',mArSeq) ).
fof(f754,plain,
spl27_69,
inference(avatar_split_clause,[],[f241,f752]) ).
fof(f752,plain,
( spl27_69
<=> ! [X0,X3] :
( sz00 != sK16(X0,X3)
| ~ aElementOf0(X3,X0)
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_69])]) ).
fof(f241,plain,
! [X3,X0] :
( sz00 != sK16(X0,X3)
| ~ aElementOf0(X3,X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f153]) ).
fof(f750,plain,
spl27_68,
inference(avatar_split_clause,[],[f235,f748]) ).
fof(f235,plain,
! [X0,X1] :
( sdtasdt0(X1,sK14(X0,X1)) = X0
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f147]) ).
fof(f733,plain,
( ~ spl27_4
| ~ spl27_15
| spl27_65 ),
inference(avatar_split_clause,[],[f700,f693,f417,f362]) ).
fof(f700,plain,
( ~ aInteger0(sz10)
| ~ spl27_15
| spl27_65 ),
inference(resolution,[],[f695,f418]) ).
fof(f695,plain,
( ~ aInteger0(smndt0(sz10))
| spl27_65 ),
inference(avatar_component_clause,[],[f693]) ).
fof(f704,plain,
spl27_67,
inference(avatar_split_clause,[],[f339,f702]) ).
fof(f339,plain,
! [X0,X1] :
( sP8(X1,X0,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| ~ sP9(X0,X1) ),
inference(equality_resolution,[],[f278]) ).
fof(f278,plain,
! [X2,X0,X1] :
( sP8(X1,X0,X2)
| szAzrzSzezqlpdtcmdtrp0(X0,X1) != X2
| ~ sP9(X0,X1) ),
inference(cnf_transformation,[],[f177]) ).
fof(f699,plain,
( ~ spl27_65
| spl27_66 ),
inference(avatar_split_clause,[],[f332,f697,f693]) ).
fof(f697,plain,
( spl27_66
<=> ! [X2] :
( ~ isPrime0(X2)
| ~ aDivisorOf0(X2,smndt0(sz10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_66])]) ).
fof(f332,plain,
! [X2] :
( ~ isPrime0(X2)
| ~ aDivisorOf0(X2,smndt0(sz10))
| ~ aInteger0(smndt0(sz10)) ),
inference(equality_resolution,[],[f227]) ).
fof(f227,plain,
! [X2,X0] :
( smndt0(sz10) != X0
| ~ isPrime0(X2)
| ~ aDivisorOf0(X2,X0)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f691,plain,
spl27_64,
inference(avatar_split_clause,[],[f306,f689]) ).
fof(f306,plain,
! [X2,X0,X1,X4] :
( aInteger0(X4)
| ~ aElementOf0(X4,X2)
| ~ sP11(X0,X1,X2) ),
inference(cnf_transformation,[],[f194]) ).
fof(f687,plain,
spl27_63,
inference(avatar_split_clause,[],[f295,f685]) ).
fof(f295,plain,
! [X2,X0,X1,X4] :
( aInteger0(X4)
| ~ aElementOf0(X4,X2)
| ~ sP10(X0,X1,X2) ),
inference(cnf_transformation,[],[f187]) ).
fof(f683,plain,
( spl27_62
| ~ spl27_1
| ~ spl27_33 ),
inference(avatar_split_clause,[],[f530,f495,f347,f680]) ).
fof(f530,plain,
( xp = sdtpldt0(xp,sz00)
| ~ spl27_1
| ~ spl27_33 ),
inference(resolution,[],[f496,f349]) ).
fof(f678,plain,
spl27_61,
inference(avatar_split_clause,[],[f281,f676]) ).
fof(f281,plain,
! [X2,X0,X1,X4] :
( aInteger0(X4)
| ~ aElementOf0(X4,X2)
| ~ sP8(X0,X1,X2) ),
inference(cnf_transformation,[],[f182]) ).
fof(f674,plain,
spl27_60,
inference(avatar_split_clause,[],[f273,f672]) ).
fof(f672,plain,
( spl27_60
<=> ! [X0] :
( isOpen0(sbsmnsldt0(X0))
| aElementOf0(sK23(X0),X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_60])]) ).
fof(f273,plain,
! [X0] :
( isOpen0(sbsmnsldt0(X0))
| aElementOf0(sK23(X0),X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f176]) ).
fof(f670,plain,
spl27_59,
inference(avatar_split_clause,[],[f252,f668]) ).
fof(f252,plain,
! [X3,X0,X1] :
( ~ aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f160]) ).
fof(f666,plain,
spl27_58,
inference(avatar_split_clause,[],[f249,f664]) ).
fof(f664,plain,
( spl27_58
<=> ! [X0,X1] :
( stldt0(X0) = X1
| ~ sP4(X0,X1)
| ~ sP5(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_58])]) ).
fof(f249,plain,
! [X0,X1] :
( stldt0(X0) = X1
| ~ sP4(X0,X1)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f155]) ).
fof(f155,plain,
! [X0] :
( ! [X1] :
( ( stldt0(X0) = X1
| ~ sP4(X0,X1) )
& ( sP4(X0,X1)
| stldt0(X0) != X1 ) )
| ~ sP5(X0) ),
inference(nnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0] :
( ! [X1] :
( stldt0(X0) = X1
<=> sP4(X0,X1) )
| ~ sP5(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f662,plain,
spl27_57,
inference(avatar_split_clause,[],[f240,f660]) ).
fof(f240,plain,
! [X3,X0] :
( aInteger0(sK16(X0,X3))
| ~ aElementOf0(X3,X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f153]) ).
fof(f658,plain,
spl27_56,
inference(avatar_split_clause,[],[f225,f656]) ).
fof(f225,plain,
! [X0] :
( smndt0(X0) = sdtasdt0(X0,smndt0(sz10))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,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/sandbox/benchmark/theBenchmark.p',mMulMinOne) ).
fof(f654,plain,
spl27_55,
inference(avatar_split_clause,[],[f224,f652]) ).
fof(f224,plain,
! [X0] :
( smndt0(X0) = sdtasdt0(smndt0(sz10),X0)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f631,plain,
( spl27_54
| ~ spl27_1
| ~ spl27_32 ),
inference(avatar_split_clause,[],[f526,f491,f347,f628]) ).
fof(f526,plain,
( sz00 = sdtasdt0(sz00,xp)
| ~ spl27_1
| ~ spl27_32 ),
inference(resolution,[],[f492,f349]) ).
fof(f613,plain,
spl27_53,
inference(avatar_split_clause,[],[f289,f611]) ).
fof(f289,plain,
! [X0,X1] :
( aInteger0(sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0,X1] :
( aInteger0(sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f83]) ).
fof(f83,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/sandbox/benchmark/theBenchmark.p',mIntMult) ).
fof(f609,plain,
( spl27_52
| ~ spl27_1
| ~ spl27_30 ),
inference(avatar_split_clause,[],[f522,f482,f347,f606]) ).
fof(f522,plain,
( sz00 = sdtasdt0(xp,sz00)
| ~ spl27_1
| ~ spl27_30 ),
inference(resolution,[],[f483,f349]) ).
fof(f604,plain,
spl27_51,
inference(avatar_split_clause,[],[f288,f602]) ).
fof(f288,plain,
! [X0,X1] :
( aInteger0(sdtpldt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0,X1] :
( aInteger0(sdtpldt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f81]) ).
fof(f81,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/sandbox/benchmark/theBenchmark.p',mIntPlus) ).
fof(f600,plain,
spl27_50,
inference(avatar_split_clause,[],[f272,f598]) ).
fof(f598,plain,
( spl27_50
<=> ! [X0] :
( sP7(X0)
| ~ aSubsetOf0(sK22(X0),cS1395)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_50])]) ).
fof(f272,plain,
! [X0] :
( sP7(X0)
| ~ aSubsetOf0(sK22(X0),cS1395)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f174]) ).
fof(f174,plain,
! [X0] :
( sP7(X0)
| ( ~ aSubsetOf0(sK22(X0),cS1395)
& aElementOf0(sK22(X0),X0) )
| ~ aSet0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f124,f173]) ).
fof(f173,plain,
! [X0] :
( ? [X1] :
( ~ aSubsetOf0(X1,cS1395)
& aElementOf0(X1,X0) )
=> ( ~ aSubsetOf0(sK22(X0),cS1395)
& aElementOf0(sK22(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f124,plain,
! [X0] :
( sP7(X0)
| ? [X1] :
( ~ aSubsetOf0(X1,cS1395)
& aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(definition_folding,[],[f72,f123,f122]) ).
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(flattening,[],[f71]) ).
fof(f71,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,[],[f54]) ).
fof(f54,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/sandbox/benchmark/theBenchmark.p',mUnionSet) ).
fof(f596,plain,
spl27_49,
inference(avatar_split_clause,[],[f271,f594]) ).
fof(f271,plain,
! [X0] :
( sP7(X0)
| aElementOf0(sK22(X0),X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f174]) ).
fof(f592,plain,
spl27_48,
inference(avatar_split_clause,[],[f263,f590]) ).
fof(f263,plain,
! [X0,X1,X5] :
( aInteger0(X5)
| ~ aElementOf0(X5,X1)
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f172]) ).
fof(f588,plain,
spl27_47,
inference(avatar_split_clause,[],[f251,f586]) ).
fof(f251,plain,
! [X3,X0,X1] :
( aInteger0(X3)
| ~ aElementOf0(X3,X1)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f160]) ).
fof(f584,plain,
spl27_46,
inference(avatar_split_clause,[],[f247,f582]) ).
fof(f582,plain,
( spl27_46
<=> ! [X0] :
( isClosed0(X0)
| ~ isOpen0(stldt0(X0))
| ~ aSubsetOf0(X0,cS1395) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_46])]) ).
fof(f247,plain,
! [X0] :
( isClosed0(X0)
| ~ isOpen0(stldt0(X0))
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
! [X0] :
( ( ( isClosed0(X0)
| ~ isOpen0(stldt0(X0)) )
& ( isOpen0(stldt0(X0))
| ~ isClosed0(X0) ) )
| ~ aSubsetOf0(X0,cS1395) ),
inference(nnf_transformation,[],[f67]) ).
fof(f67,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/sandbox/benchmark/theBenchmark.p',mClosed) ).
fof(f580,plain,
spl27_45,
inference(avatar_split_clause,[],[f246,f578]) ).
fof(f246,plain,
! [X0] :
( isOpen0(stldt0(X0))
| ~ isClosed0(X0)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[],[f154]) ).
fof(f576,plain,
spl27_44,
inference(avatar_split_clause,[],[f231,f574]) ).
fof(f231,plain,
! [X0,X1] :
( aDivisorOf0(X1,X0)
| ~ sP0(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
! [X0] :
( ! [X1] :
( ( aDivisorOf0(X1,X0)
| ~ sP0(X0,X1) )
& ( sP0(X0,X1)
| ~ aDivisorOf0(X1,X0) ) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0] :
( ! [X1] :
( aDivisorOf0(X1,X0)
<=> sP0(X0,X1) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f572,plain,
spl27_43,
inference(avatar_split_clause,[],[f230,f570]) ).
fof(f230,plain,
! [X0,X1] :
( sP0(X0,X1)
| ~ aDivisorOf0(X1,X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f568,plain,
spl27_42,
inference(avatar_split_clause,[],[f223,f566]) ).
fof(f223,plain,
! [X0] :
( sz00 = sdtpldt0(smndt0(X0),X0)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,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/sandbox/benchmark/theBenchmark.p',mAddNeg) ).
fof(f564,plain,
spl27_41,
inference(avatar_split_clause,[],[f222,f562]) ).
fof(f222,plain,
! [X0] :
( sz00 = sdtpldt0(X0,smndt0(X0))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f560,plain,
( spl27_40
| ~ spl27_7
| ~ spl27_39 ),
inference(avatar_split_clause,[],[f555,f551,f376,f557]) ).
fof(f551,plain,
( spl27_39
<=> aElementOf0(sdtpldt0(sz10,smndt0(xp)),szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_39])]) ).
fof(f555,plain,
( aElementOf0(sz10,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ~ spl27_7
| ~ spl27_39 ),
inference(forward_demodulation,[],[f553,f378]) ).
fof(f553,plain,
( aElementOf0(sdtpldt0(sz10,smndt0(xp)),szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ~ spl27_39 ),
inference(avatar_component_clause,[],[f551]) ).
fof(f554,plain,
spl27_39,
inference(avatar_split_clause,[],[f208,f551]) ).
fof(f208,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/sandbox/benchmark/theBenchmark.p',m__2232) ).
fof(f517,plain,
( ~ spl27_4
| spl27_38 ),
inference(avatar_split_clause,[],[f333,f515,f362]) ).
fof(f515,plain,
( spl27_38
<=> ! [X2] :
( ~ isPrime0(X2)
| ~ aDivisorOf0(X2,sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_38])]) ).
fof(f333,plain,
! [X2] :
( ~ isPrime0(X2)
| ~ aDivisorOf0(X2,sz10)
| ~ aInteger0(sz10) ),
inference(equality_resolution,[],[f226]) ).
fof(f226,plain,
! [X2,X0] :
( sz10 != X0
| ~ isPrime0(X2)
| ~ aDivisorOf0(X2,X0)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f513,plain,
spl27_37,
inference(avatar_split_clause,[],[f234,f511]) ).
fof(f234,plain,
! [X0,X1] :
( aInteger0(sK14(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f147]) ).
fof(f509,plain,
spl27_36,
inference(avatar_split_clause,[],[f221,f507]) ).
fof(f221,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/sandbox/benchmark/theBenchmark.p',mMulOne) ).
fof(f505,plain,
spl27_35,
inference(avatar_split_clause,[],[f220,f503]) ).
fof(f220,plain,
! [X0] :
( sdtasdt0(X0,sz10) = X0
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f501,plain,
spl27_34,
inference(avatar_split_clause,[],[f219,f499]) ).
fof(f219,plain,
! [X0] :
( sdtpldt0(sz00,X0) = X0
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0] :
( ( sdtpldt0(sz00,X0) = X0
& sdtpldt0(X0,sz00) = X0 )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( aInteger0(X0)
=> ( sdtpldt0(sz00,X0) = X0
& sdtpldt0(X0,sz00) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddZero) ).
fof(f497,plain,
spl27_33,
inference(avatar_split_clause,[],[f218,f495]) ).
fof(f218,plain,
! [X0] :
( sdtpldt0(X0,sz00) = X0
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f493,plain,
spl27_32,
inference(avatar_split_clause,[],[f217,f491]) ).
fof(f217,plain,
! [X0] :
( sz00 = sdtasdt0(sz00,X0)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,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/sandbox/benchmark/theBenchmark.p',mMulZero) ).
fof(f489,plain,
( spl27_31
| ~ spl27_5
| ~ spl27_11 ),
inference(avatar_split_clause,[],[f400,f395,f367,f486]) ).
fof(f486,plain,
( spl27_31
<=> sP1(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_31])]) ).
fof(f400,plain,
( sP1(sz00)
| ~ spl27_5
| ~ spl27_11 ),
inference(resolution,[],[f396,f369]) ).
fof(f484,plain,
spl27_30,
inference(avatar_split_clause,[],[f216,f482]) ).
fof(f216,plain,
! [X0] :
( sz00 = sdtasdt0(X0,sz00)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f480,plain,
spl27_29,
inference(avatar_split_clause,[],[f211,f478]) ).
fof(f211,plain,
! [X0,X1] :
( aSet0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f476,plain,
spl27_28,
inference(avatar_split_clause,[],[f207,f473]) ).
fof(f473,plain,
( spl27_28
<=> aElementOf0(sdtpldt0(sz10,xp),szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_28])]) ).
fof(f207,plain,
aElementOf0(sdtpldt0(sz10,xp),szAzrzSzezqlpdtcmdtrp0(sz10,xp)),
inference(cnf_transformation,[],[f47]) ).
fof(f469,plain,
( spl27_27
| ~ spl27_4
| ~ spl27_11 ),
inference(avatar_split_clause,[],[f399,f395,f362,f466]) ).
fof(f399,plain,
( sP1(sz10)
| ~ spl27_4
| ~ spl27_11 ),
inference(resolution,[],[f396,f364]) ).
fof(f464,plain,
spl27_26,
inference(avatar_split_clause,[],[f337,f462]) ).
fof(f337,plain,
! [X0] :
( sP6(X0,sbsmnsldt0(X0))
| ~ sP7(X0) ),
inference(equality_resolution,[],[f261]) ).
fof(f261,plain,
! [X0,X1] :
( sP6(X0,X1)
| sbsmnsldt0(X0) != X1
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f165]) ).
fof(f460,plain,
spl27_25,
inference(avatar_split_clause,[],[f336,f458]) ).
fof(f336,plain,
! [X0] :
( sP4(X0,stldt0(X0))
| ~ sP5(X0) ),
inference(equality_resolution,[],[f248]) ).
fof(f248,plain,
! [X0,X1] :
( sP4(X0,X1)
| stldt0(X0) != X1
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f155]) ).
fof(f456,plain,
spl27_24,
inference(avatar_split_clause,[],[f280,f454]) ).
fof(f280,plain,
! [X2,X0,X1] :
( aSet0(X2)
| ~ sP8(X0,X1,X2) ),
inference(cnf_transformation,[],[f182]) ).
fof(f452,plain,
spl27_23,
inference(avatar_split_clause,[],[f243,f450]) ).
fof(f243,plain,
! [X0] :
( sP2(X0)
| aElementOf0(sK15(X0),X0) ),
inference(cnf_transformation,[],[f153]) ).
fof(f448,plain,
spl27_22,
inference(avatar_split_clause,[],[f239,f446]) ).
fof(f446,plain,
( spl27_22
<=> ! [X0] :
( isOpen0(X0)
| ~ sP2(X0)
| ~ sP3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_22])]) ).
fof(f239,plain,
! [X0] :
( isOpen0(X0)
| ~ sP2(X0)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f148,plain,
! [X0] :
( ( ( isOpen0(X0)
| ~ sP2(X0) )
& ( sP2(X0)
| ~ isOpen0(X0) ) )
| ~ sP3(X0) ),
inference(nnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0] :
( ( isOpen0(X0)
<=> sP2(X0) )
| ~ sP3(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f444,plain,
spl27_21,
inference(avatar_split_clause,[],[f238,f442]) ).
fof(f442,plain,
( spl27_21
<=> ! [X0] :
( sP2(X0)
| ~ isOpen0(X0)
| ~ sP3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_21])]) ).
fof(f238,plain,
! [X0] :
( sP2(X0)
| ~ isOpen0(X0)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f439,plain,
spl27_20,
inference(avatar_split_clause,[],[f338,f437]) ).
fof(f437,plain,
( spl27_20
<=> ! [X0] :
( aSet0(sbsmnsldt0(X0))
| ~ sP7(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_20])]) ).
fof(f338,plain,
! [X0] :
( aSet0(sbsmnsldt0(X0))
| ~ sP7(X0) ),
inference(equality_resolution,[],[f260]) ).
fof(f260,plain,
! [X0,X1] :
( aSet0(X1)
| sbsmnsldt0(X0) != X1
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f165]) ).
fof(f435,plain,
spl27_19,
inference(avatar_split_clause,[],[f257,f433]) ).
fof(f257,plain,
! [X0] :
( sP5(X0)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0] :
( sP5(X0)
| ~ aSubsetOf0(X0,cS1395) ),
inference(definition_folding,[],[f68,f120,f119]) ).
fof(f68,plain,
! [X0] :
( ! [X1] :
( stldt0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ( ~ aElementOf0(X2,X0)
& aInteger0(X2) ) )
& aSet0(X1) ) )
| ~ aSubsetOf0(X0,cS1395) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0] :
( aSubsetOf0(X0,cS1395)
=> ! [X1] :
( stldt0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ( ~ aElementOf0(X2,X0)
& aInteger0(X2) ) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mComplement) ).
fof(f431,plain,
spl27_18,
inference(avatar_split_clause,[],[f250,f429]) ).
fof(f250,plain,
! [X0,X1] :
( aSet0(X1)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f160]) ).
fof(f427,plain,
spl27_17,
inference(avatar_split_clause,[],[f245,f425]) ).
fof(f245,plain,
! [X0] :
( sP3(X0)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0] :
( sP3(X0)
| ~ aSubsetOf0(X0,cS1395) ),
inference(definition_folding,[],[f66,f117,f116]) ).
fof(f66,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/sandbox/benchmark/theBenchmark.p',mOpen) ).
fof(f423,plain,
spl27_16,
inference(avatar_split_clause,[],[f232,f421]) ).
fof(f421,plain,
( spl27_16
<=> ! [X0,X1] :
( aInteger0(X1)
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_16])]) ).
fof(f232,plain,
! [X0,X1] :
( aInteger0(X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f147]) ).
fof(f419,plain,
spl27_15,
inference(avatar_split_clause,[],[f215,f417]) ).
fof(f215,plain,
! [X0] :
( aInteger0(smndt0(X0))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0] :
( aInteger0(smndt0(X0))
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( aInteger0(X0)
=> aInteger0(smndt0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntNeg) ).
fof(f415,plain,
( spl27_14
| ~ spl27_1
| ~ spl27_11 ),
inference(avatar_split_clause,[],[f398,f395,f347,f412]) ).
fof(f398,plain,
( sP1(xp)
| ~ spl27_1
| ~ spl27_11 ),
inference(resolution,[],[f396,f349]) ).
fof(f410,plain,
spl27_13,
inference(avatar_split_clause,[],[f344,f407]) ).
fof(f344,plain,
aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),cS2076),
inference(forward_demodulation,[],[f329,f328]) ).
fof(f328,plain,
cS2076 = stldt0(sbsmnsldt0(cS2043)),
inference(definition_unfolding,[],[f201,f200]) ).
fof(f200,plain,
xS = cS2043,
inference(cnf_transformation,[],[f42]) ).
fof(f42,axiom,
xS = cS2043,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2046) ).
fof(f201,plain,
stldt0(sbsmnsldt0(xS)) = cS2076,
inference(cnf_transformation,[],[f43]) ).
fof(f43,axiom,
stldt0(sbsmnsldt0(xS)) = cS2076,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2079) ).
fof(f329,plain,
aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(cS2043))),
inference(definition_unfolding,[],[f204,f200]) ).
fof(f204,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/sandbox/benchmark/theBenchmark.p',m__2171) ).
fof(f405,plain,
spl27_12,
inference(avatar_split_clause,[],[f328,f402]) ).
fof(f397,plain,
spl27_11,
inference(avatar_split_clause,[],[f237,f395]) ).
fof(f237,plain,
! [X0] :
( sP1(X0)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0] :
( sP1(X0)
| ~ aInteger0(X0) ),
inference(definition_folding,[],[f65,f114,f113]) ).
fof(f65,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/sandbox/benchmark/theBenchmark.p',mDivisor) ).
fof(f393,plain,
spl27_10,
inference(avatar_split_clause,[],[f335,f391]) ).
fof(f391,plain,
( spl27_10
<=> ! [X0] : ~ sP0(X0,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_10])]) ).
fof(f335,plain,
! [X0] : ~ sP0(X0,sz00),
inference(equality_resolution,[],[f233]) ).
fof(f233,plain,
! [X0,X1] :
( sz00 != X1
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f147]) ).
fof(f389,plain,
spl27_9,
inference(avatar_split_clause,[],[f331,f386]) ).
fof(f386,plain,
( spl27_9
<=> isClosed0(sbsmnsldt0(cS2043)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_9])]) ).
fof(f331,plain,
isClosed0(sbsmnsldt0(cS2043)),
inference(definition_unfolding,[],[f205,f200]) ).
fof(f205,plain,
isClosed0(sbsmnsldt0(xS)),
inference(cnf_transformation,[],[f45]) ).
fof(f45,axiom,
( isOpen0(stldt0(sbsmnsldt0(xS)))
& isClosed0(sbsmnsldt0(xS)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2144) ).
fof(f384,plain,
~ spl27_8,
inference(avatar_split_clause,[],[f203,f381]) ).
fof(f203,plain,
sz00 != xp,
inference(cnf_transformation,[],[f46]) ).
fof(f379,plain,
( spl27_6
| spl27_7 ),
inference(avatar_split_clause,[],[f198,f376,f372]) ).
fof(f198,plain,
( sz10 = sdtpldt0(sz10,smndt0(xp))
| sz10 = sdtpldt0(sz10,xp) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
( sz10 = sdtpldt0(sz10,smndt0(xp))
| sz10 = sdtpldt0(sz10,xp) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,negated_conjecture,
~ ( sz10 != sdtpldt0(sz10,smndt0(xp))
& sz10 != sdtpldt0(sz10,xp) ),
inference(negated_conjecture,[],[f48]) ).
fof(f48,conjecture,
( sz10 != sdtpldt0(sz10,smndt0(xp))
& sz10 != sdtpldt0(sz10,xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f370,plain,
spl27_5,
inference(avatar_split_clause,[],[f210,f367]) ).
fof(f210,plain,
aInteger0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
aInteger0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntZero) ).
fof(f365,plain,
spl27_4,
inference(avatar_split_clause,[],[f209,f362]) ).
fof(f209,plain,
aInteger0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
aInteger0(sz10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntOne) ).
fof(f360,plain,
spl27_3,
inference(avatar_split_clause,[],[f345,f357]) ).
fof(f357,plain,
( spl27_3
<=> isOpen0(cS2076) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_3])]) ).
fof(f345,plain,
isOpen0(cS2076),
inference(forward_demodulation,[],[f330,f328]) ).
fof(f330,plain,
isOpen0(stldt0(sbsmnsldt0(cS2043))),
inference(definition_unfolding,[],[f206,f200]) ).
fof(f206,plain,
isOpen0(stldt0(sbsmnsldt0(xS))),
inference(cnf_transformation,[],[f45]) ).
fof(f355,plain,
spl27_2,
inference(avatar_split_clause,[],[f327,f352]) ).
fof(f352,plain,
( spl27_2
<=> isFinite0(cS2043) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_2])]) ).
fof(f327,plain,
isFinite0(cS2043),
inference(definition_unfolding,[],[f199,f200]) ).
fof(f199,plain,
isFinite0(xS),
inference(cnf_transformation,[],[f44]) ).
fof(f44,axiom,
isFinite0(xS),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2117) ).
fof(f350,plain,
spl27_1,
inference(avatar_split_clause,[],[f202,f347]) ).
fof(f202,plain,
aInteger0(xp),
inference(cnf_transformation,[],[f46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM453+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
% 0.14/0.35 % Computer : n008.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Apr 29 23:54:12 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (29289)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (29294)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)
% 0.14/0.37 % (29292)WARNING: value z3 for option sas not known
% 0.14/0.37 % (29291)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (29290)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (29293)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (29292)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)
% 0.14/0.37 % (29295)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)
% 0.14/0.37 % (29296)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)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [2]
% 0.14/0.39 TRYING [3]
% 0.14/0.40 TRYING [3]
% 0.21/0.44 TRYING [4]
% 0.21/0.45 TRYING [4]
% 0.21/0.55 TRYING [5]
% 0.21/0.56 TRYING [5]
% 2.00/0.63 % (29294)First to succeed.
% 2.00/0.65 % (29294)Refutation found. Thanks to Tanya!
% 2.00/0.65 % SZS status Theorem for theBenchmark
% 2.00/0.65 % SZS output start Proof for theBenchmark
% See solution above
% 2.00/0.66 % (29294)------------------------------
% 2.00/0.66 % (29294)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 2.00/0.66 % (29294)Termination reason: Refutation
% 2.00/0.66
% 2.00/0.66 % (29294)Memory used [KB]: 7027
% 2.00/0.66 % (29294)Time elapsed: 0.277 s
% 2.00/0.66 % (29294)Instructions burned: 647 (million)
% 2.00/0.66 % (29294)------------------------------
% 2.00/0.66 % (29294)------------------------------
% 2.00/0.66 % (29289)Success in time 0.292 s
%------------------------------------------------------------------------------