TSTP Solution File: NUM529+1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM529+1 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n015.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 May 21 02:07:48 EDT 2024
% Result : Theorem 8.82s 1.61s
% Output : Refutation 8.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 568
% Syntax : Number of formulae : 2006 ( 106 unt; 0 def)
% Number of atoms : 9529 (1940 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 13386 (5863 ~;6730 |; 194 &)
% ( 534 <=>; 65 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 526 ( 524 usr; 518 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-2 aty)
% Number of variables : 2162 (2142 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f18644,plain,
$false,
inference(avatar_sat_refutation,[],[f248,f253,f258,f263,f268,f273,f278,f283,f288,f293,f298,f303,f308,f313,f318,f322,f332,f337,f342,f346,f350,f354,f358,f362,f367,f371,f375,f379,f383,f418,f422,f426,f445,f450,f456,f464,f468,f472,f476,f480,f484,f488,f492,f496,f561,f565,f571,f575,f579,f583,f587,f594,f598,f602,f606,f610,f614,f618,f638,f669,f673,f677,f681,f730,f734,f738,f764,f768,f778,f782,f786,f790,f794,f837,f855,f859,f863,f867,f871,f875,f879,f939,f951,f955,f977,f981,f999,f1008,f1013,f1022,f1027,f1032,f1037,f1042,f1047,f1052,f1057,f1062,f1067,f1072,f1077,f1082,f1087,f1092,f1097,f1102,f1312,f1373,f1378,f1383,f1388,f1393,f1398,f1403,f1536,f1540,f1545,f1583,f1587,f1591,f1595,f1599,f1603,f1694,f1698,f1702,f1706,f1710,f1714,f1719,f1819,f1828,f1833,f1843,f1861,f1865,f1869,f1873,f1877,f1881,f1885,f1886,f1920,f1953,f1958,f1965,f1985,f2004,f2008,f2079,f2116,f2122,f2134,f2185,f2189,f2193,f2197,f2201,f2205,f2209,f2213,f2217,f2222,f2226,f2230,f2404,f2408,f2412,f2416,f2420,f2425,f2429,f2433,f2437,f2441,f2445,f2449,f2453,f2457,f2461,f2471,f2636,f2667,f2681,f2685,f2689,f2693,f2697,f2701,f2846,f2850,f2854,f2858,f2864,f2868,f2872,f2876,f2880,f2884,f2888,f2892,f2896,f2900,f2906,f3025,f3181,f3236,f3250,f3272,f3276,f3280,f3284,f3288,f3292,f3302,f3306,f3310,f3314,f3318,f3322,f3326,f3373,f3668,f3686,f3690,f3694,f3698,f3702,f3706,f3711,f3849,f3853,f3857,f3861,f3888,f3892,f3913,f3934,f3938,f3942,f3946,f3950,f3955,f3959,f4228,f4259,f4263,f4267,f4271,f4275,f4298,f4302,f4306,f4585,f4591,f4595,f4599,f4603,f4607,f4611,f4615,f4619,f4623,f4627,f4632,f4636,f4838,f4883,f4889,f4909,f4913,f4917,f4921,f4925,f4930,f4934,f4938,f4942,f4946,f5123,f5163,f5167,f5171,f5175,f5246,f5331,f5335,f5339,f5343,f5347,f5439,f5490,f5503,f5514,f5525,f5538,f5543,f5550,f5554,f5558,f5562,f5566,f5570,f5705,f5709,f5735,f5768,f5803,f5808,f5813,f5839,f5844,f5868,f5874,f5878,f5904,f5909,f5933,f5937,f5941,f5945,f5972,f6042,f6048,f6084,f6088,f6092,f6096,f6101,f6105,f6109,f6113,f6118,f6215,f6219,f6225,f6280,f6489,f6496,f6570,f6577,f6581,f6589,f6593,f6598,f6626,f6631,f6658,f6664,f6668,f6696,f6701,f6751,f6758,f6808,f6812,f6856,f6906,f6913,f6963,f6970,f7020,f7024,f7077,f7081,f7085,f7089,f7093,f7097,f7101,f7105,f7109,f7114,f7501,f7506,f7540,f7544,f7549,f7582,f7587,f7632,f7638,f7646,f7651,f7684,f7689,f7722,f7726,f7730,f7736,f7876,f7880,f7884,f7888,f8298,f8303,f8334,f8339,f8378,f8382,f8386,f8390,f8394,f8399,f8522,f8527,f8903,f8908,f8953,f8958,f9139,f9144,f9149,f9305,f9309,f9314,f9319,f9406,f9411,f9498,f9503,f9572,f9727,f9732,f9738,f9743,f9747,f9752,f9756,f9827,f9837,f9843,f10329,f11646,f12091,f12095,f12100,f13063,f13069,f13108,f13147,f13204,f13209,f13215,f13250,f13287,f13322,f13328,f13400,f13405,f13478,f13484,f13523,f13562,f13603,f13639,f13645,f13651,f13656,f13661,f13666,f13672,f13679,f13684,f13690,f13695,f13700,f13706,f13711,f13716,f13722,f13728,f13734,f13740,f13746,f13757,f13764,f13770,f14223,f14262,f14299,f14304,f14309,f14314,f14369,f14608,f14609,f15193,f15197,f15303,f15877,f16129,f16214,f16219,f16319,f16354,f16359,f16364,f16368,f16690,f16696,f16702,f16706,f17356,f17472,f17507,f17511,f17894,f17898,f17955,f18011,f18016,f18154,f18159,f18164,f18223,f18570,f18575,f18642,f18643]) ).
fof(f18643,plain,
( ~ spl6_146
| spl6_10
| ~ spl6_3
| ~ spl6_493
| ~ spl6_510 ),
inference(avatar_split_clause,[],[f18020,f18014,f16216,f255,f290,f1950]) ).
fof(f1950,plain,
( spl6_146
<=> iLess0(xm,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_146])]) ).
fof(f290,plain,
( spl6_10
<=> sz00 = xm ),
introduced(avatar_definition,[new_symbols(naming,[spl6_10])]) ).
fof(f255,plain,
( spl6_3
<=> aNaturalNumber0(xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_3])]) ).
fof(f16216,plain,
( spl6_493
<=> sdtasdt0(xm,xm) = sdtasdt0(xq,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_493])]) ).
fof(f18014,plain,
( spl6_510
<=> ! [X0] :
( sdtasdt0(X0,X0) != sdtasdt0(xq,xn)
| ~ aNaturalNumber0(X0)
| sz00 = X0
| ~ iLess0(X0,xn) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_510])]) ).
fof(f18020,plain,
( ~ aNaturalNumber0(xm)
| sz00 = xm
| ~ iLess0(xm,xn)
| ~ spl6_493
| ~ spl6_510 ),
inference(trivial_inequality_removal,[],[f18019]) ).
fof(f18019,plain,
( sdtasdt0(xq,xn) != sdtasdt0(xq,xn)
| ~ aNaturalNumber0(xm)
| sz00 = xm
| ~ iLess0(xm,xn)
| ~ spl6_493
| ~ spl6_510 ),
inference(superposition,[],[f18015,f16218]) ).
fof(f16218,plain,
( sdtasdt0(xm,xm) = sdtasdt0(xq,xn)
| ~ spl6_493 ),
inference(avatar_component_clause,[],[f16216]) ).
fof(f18015,plain,
( ! [X0] :
( sdtasdt0(X0,X0) != sdtasdt0(xq,xn)
| ~ aNaturalNumber0(X0)
| sz00 = X0
| ~ iLess0(X0,xn) )
| ~ spl6_510 ),
inference(avatar_component_clause,[],[f18014]) ).
fof(f18642,plain,
( ~ spl6_517
| spl6_9
| ~ spl6_2
| ~ spl6_346 ),
inference(avatar_split_clause,[],[f17475,f6568,f250,f285,f18639]) ).
fof(f18639,plain,
( spl6_517
<=> iLess0(xn,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_517])]) ).
fof(f285,plain,
( spl6_9
<=> sz00 = xn ),
introduced(avatar_definition,[new_symbols(naming,[spl6_9])]) ).
fof(f250,plain,
( spl6_2
<=> aNaturalNumber0(xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).
fof(f6568,plain,
( spl6_346
<=> ! [X0] :
( sdtasdt0(X0,X0) != sdtasdt0(xn,xn)
| ~ aNaturalNumber0(X0)
| sz00 = X0
| ~ iLess0(X0,xn) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_346])]) ).
fof(f17475,plain,
( ~ aNaturalNumber0(xn)
| sz00 = xn
| ~ iLess0(xn,xn)
| ~ spl6_346 ),
inference(equality_resolution,[],[f6569]) ).
fof(f6569,plain,
( ! [X0] :
( sdtasdt0(X0,X0) != sdtasdt0(xn,xn)
| ~ aNaturalNumber0(X0)
| sz00 = X0
| ~ iLess0(X0,xn) )
| ~ spl6_346 ),
inference(avatar_component_clause,[],[f6568]) ).
fof(f18575,plain,
( spl6_516
| ~ spl6_4
| ~ spl6_154
| ~ spl6_330
| ~ spl6_503 ),
inference(avatar_split_clause,[],[f17502,f17470,f6046,f2131,f260,f18572]) ).
fof(f18572,plain,
( spl6_516
<=> xn = sdtasdt0(xp,sdtasdt0(xq,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_516])]) ).
fof(f260,plain,
( spl6_4
<=> aNaturalNumber0(xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_4])]) ).
fof(f2131,plain,
( spl6_154
<=> xn = sdtasdt0(xp,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_154])]) ).
fof(f6046,plain,
( spl6_330
<=> ! [X0] :
( sdtsldt0(sdtasdt0(X0,sdtasdt0(xn,xn)),xp) = sdtasdt0(X0,xq)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_330])]) ).
fof(f17470,plain,
( spl6_503
<=> ! [X0] :
( sdtsldt0(sdtasdt0(X0,sdtasdt0(xn,xn)),xp) = sdtasdt0(X0,sdtasdt0(xq,xn))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_503])]) ).
fof(f17502,plain,
( xn = sdtasdt0(xp,sdtasdt0(xq,xn))
| ~ spl6_4
| ~ spl6_154
| ~ spl6_330
| ~ spl6_503 ),
inference(forward_demodulation,[],[f17487,f6077]) ).
fof(f6077,plain,
( xn = sdtsldt0(sdtasdt0(xp,sdtasdt0(xn,xn)),xp)
| ~ spl6_4
| ~ spl6_154
| ~ spl6_330 ),
inference(forward_demodulation,[],[f6060,f2133]) ).
fof(f2133,plain,
( xn = sdtasdt0(xp,xq)
| ~ spl6_154 ),
inference(avatar_component_clause,[],[f2131]) ).
fof(f6060,plain,
( sdtasdt0(xp,xq) = sdtsldt0(sdtasdt0(xp,sdtasdt0(xn,xn)),xp)
| ~ spl6_4
| ~ spl6_330 ),
inference(resolution,[],[f6047,f262]) ).
fof(f262,plain,
( aNaturalNumber0(xp)
| ~ spl6_4 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f6047,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtsldt0(sdtasdt0(X0,sdtasdt0(xn,xn)),xp) = sdtasdt0(X0,xq) )
| ~ spl6_330 ),
inference(avatar_component_clause,[],[f6046]) ).
fof(f17487,plain,
( sdtasdt0(xp,sdtasdt0(xq,xn)) = sdtsldt0(sdtasdt0(xp,sdtasdt0(xn,xn)),xp)
| ~ spl6_4
| ~ spl6_503 ),
inference(resolution,[],[f17471,f262]) ).
fof(f17471,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtsldt0(sdtasdt0(X0,sdtasdt0(xn,xn)),xp) = sdtasdt0(X0,sdtasdt0(xq,xn)) )
| ~ spl6_503 ),
inference(avatar_component_clause,[],[f17470]) ).
fof(f18570,plain,
( spl6_515
| ~ spl6_5
| ~ spl6_257
| ~ spl6_475
| ~ spl6_503 ),
inference(avatar_split_clause,[],[f17494,f17470,f13731,f4295,f265,f18567]) ).
fof(f18567,plain,
( spl6_515
<=> sz00 = sdtasdt0(sz00,sdtasdt0(xq,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_515])]) ).
fof(f265,plain,
( spl6_5
<=> aNaturalNumber0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_5])]) ).
fof(f4295,plain,
( spl6_257
<=> sz00 = sdtsldt0(sz00,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_257])]) ).
fof(f13731,plain,
( spl6_475
<=> sz00 = sdtasdt0(sz00,sdtasdt0(xn,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_475])]) ).
fof(f17494,plain,
( sz00 = sdtasdt0(sz00,sdtasdt0(xq,xn))
| ~ spl6_5
| ~ spl6_257
| ~ spl6_475
| ~ spl6_503 ),
inference(forward_demodulation,[],[f17493,f4297]) ).
fof(f4297,plain,
( sz00 = sdtsldt0(sz00,xp)
| ~ spl6_257 ),
inference(avatar_component_clause,[],[f4295]) ).
fof(f17493,plain,
( sdtsldt0(sz00,xp) = sdtasdt0(sz00,sdtasdt0(xq,xn))
| ~ spl6_5
| ~ spl6_475
| ~ spl6_503 ),
inference(forward_demodulation,[],[f17476,f13733]) ).
fof(f13733,plain,
( sz00 = sdtasdt0(sz00,sdtasdt0(xn,xn))
| ~ spl6_475 ),
inference(avatar_component_clause,[],[f13731]) ).
fof(f17476,plain,
( sdtsldt0(sdtasdt0(sz00,sdtasdt0(xn,xn)),xp) = sdtasdt0(sz00,sdtasdt0(xq,xn))
| ~ spl6_5
| ~ spl6_503 ),
inference(resolution,[],[f17471,f267]) ).
fof(f267,plain,
( aNaturalNumber0(sz00)
| ~ spl6_5 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f18223,plain,
( spl6_514
| ~ spl6_174
| ~ spl6_493 ),
inference(avatar_split_clause,[],[f16222,f16216,f2422,f18220]) ).
fof(f18220,plain,
( spl6_514
<=> sP1(sdtasdt0(xq,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_514])]) ).
fof(f2422,plain,
( spl6_174
<=> sP1(sdtasdt0(xm,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_174])]) ).
fof(f16222,plain,
( sP1(sdtasdt0(xq,xn))
| ~ spl6_174
| ~ spl6_493 ),
inference(superposition,[],[f2424,f16218]) ).
fof(f2424,plain,
( sP1(sdtasdt0(xm,xm))
| ~ spl6_174 ),
inference(avatar_component_clause,[],[f2422]) ).
fof(f18164,plain,
( ~ spl6_513
| spl6_260
| ~ spl6_493 ),
inference(avatar_split_clause,[],[f16225,f16216,f4582,f18161]) ).
fof(f18161,plain,
( spl6_513
<=> sz00 = sdtasdt0(xq,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_513])]) ).
fof(f4582,plain,
( spl6_260
<=> sz00 = sdtasdt0(xm,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_260])]) ).
fof(f16225,plain,
( sz00 != sdtasdt0(xq,xn)
| spl6_260
| ~ spl6_493 ),
inference(superposition,[],[f4584,f16218]) ).
fof(f4584,plain,
( sz00 != sdtasdt0(xm,xm)
| spl6_260 ),
inference(avatar_component_clause,[],[f4582]) ).
fof(f18159,plain,
( spl6_512
| ~ spl6_211
| ~ spl6_493 ),
inference(avatar_split_clause,[],[f16224,f16216,f3178,f18156]) ).
fof(f18156,plain,
( spl6_512
<=> sdtlseqdt0(xp,sdtasdt0(xq,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_512])]) ).
fof(f3178,plain,
( spl6_211
<=> sdtlseqdt0(xp,sdtasdt0(xm,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_211])]) ).
fof(f16224,plain,
( sdtlseqdt0(xp,sdtasdt0(xq,xn))
| ~ spl6_211
| ~ spl6_493 ),
inference(superposition,[],[f3180,f16218]) ).
fof(f3180,plain,
( sdtlseqdt0(xp,sdtasdt0(xm,xm))
| ~ spl6_211 ),
inference(avatar_component_clause,[],[f3178]) ).
fof(f18154,plain,
( spl6_511
| ~ spl6_186
| ~ spl6_493 ),
inference(avatar_split_clause,[],[f16223,f16216,f2664,f18151]) ).
fof(f18151,plain,
( spl6_511
<=> doDivides0(xp,sdtasdt0(xq,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_511])]) ).
fof(f2664,plain,
( spl6_186
<=> doDivides0(xp,sdtasdt0(xm,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_186])]) ).
fof(f16223,plain,
( doDivides0(xp,sdtasdt0(xq,xn))
| ~ spl6_186
| ~ spl6_493 ),
inference(superposition,[],[f2666,f16218]) ).
fof(f2666,plain,
( doDivides0(xp,sdtasdt0(xm,xm))
| ~ spl6_186 ),
inference(avatar_component_clause,[],[f2664]) ).
fof(f18016,plain,
( spl6_510
| ~ spl6_493
| ~ spl6_509 ),
inference(avatar_split_clause,[],[f18012,f18009,f16216,f18014]) ).
fof(f18009,plain,
( spl6_509
<=> ! [X0] :
( sdtasdt0(X0,X0) != sdtasdt0(xm,xm)
| ~ aNaturalNumber0(X0)
| sz00 = X0
| ~ iLess0(X0,xn) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_509])]) ).
fof(f18012,plain,
( ! [X0] :
( sdtasdt0(X0,X0) != sdtasdt0(xq,xn)
| ~ aNaturalNumber0(X0)
| sz00 = X0
| ~ iLess0(X0,xn) )
| ~ spl6_493
| ~ spl6_509 ),
inference(forward_demodulation,[],[f18010,f16218]) ).
fof(f18010,plain,
( ! [X0] :
( sdtasdt0(X0,X0) != sdtasdt0(xm,xm)
| ~ aNaturalNumber0(X0)
| sz00 = X0
| ~ iLess0(X0,xn) )
| ~ spl6_509 ),
inference(avatar_component_clause,[],[f18009]) ).
fof(f18011,plain,
( ~ spl6_136
| ~ spl6_4
| spl6_228
| spl6_11
| ~ spl6_1
| spl6_509
| ~ spl6_33
| ~ spl6_88 ),
inference(avatar_split_clause,[],[f1000,f997,f442,f18009,f245,f295,f3370,f260,f1830]) ).
fof(f1830,plain,
( spl6_136
<=> aNaturalNumber0(xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_136])]) ).
fof(f3370,plain,
( spl6_228
<=> sz00 = xq ),
introduced(avatar_definition,[new_symbols(naming,[spl6_228])]) ).
fof(f295,plain,
( spl6_11
<=> sz00 = xp ),
introduced(avatar_definition,[new_symbols(naming,[spl6_11])]) ).
fof(f245,plain,
( spl6_1
<=> isPrime0(xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).
fof(f442,plain,
( spl6_33
<=> sdtasdt0(xm,xm) = sdtasdt0(xp,sdtasdt0(xq,xq)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_33])]) ).
fof(f997,plain,
( spl6_88
<=> ! [X2,X0,X1] :
( ~ isPrime0(X2)
| ~ iLess0(X0,xn)
| sdtasdt0(X2,sdtasdt0(X1,X1)) != sdtasdt0(X0,X0)
| sz00 = X2
| sz00 = X1
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_88])]) ).
fof(f1000,plain,
( ! [X0] :
( sdtasdt0(X0,X0) != sdtasdt0(xm,xm)
| ~ iLess0(X0,xn)
| ~ isPrime0(xp)
| sz00 = xp
| sz00 = xq
| sz00 = X0
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0) )
| ~ spl6_33
| ~ spl6_88 ),
inference(superposition,[],[f998,f444]) ).
fof(f444,plain,
( sdtasdt0(xm,xm) = sdtasdt0(xp,sdtasdt0(xq,xq))
| ~ spl6_33 ),
inference(avatar_component_clause,[],[f442]) ).
fof(f998,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X2,sdtasdt0(X1,X1)) != sdtasdt0(X0,X0)
| ~ iLess0(X0,xn)
| ~ isPrime0(X2)
| sz00 = X2
| sz00 = X1
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_88 ),
inference(avatar_component_clause,[],[f997]) ).
fof(f17955,plain,
( spl6_508
| ~ spl6_134
| ~ spl6_493 ),
inference(avatar_split_clause,[],[f16221,f16216,f1816,f17952]) ).
fof(f17952,plain,
( spl6_508
<=> aNaturalNumber0(sdtasdt0(xq,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_508])]) ).
fof(f1816,plain,
( spl6_134
<=> aNaturalNumber0(sdtasdt0(xm,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_134])]) ).
fof(f16221,plain,
( aNaturalNumber0(sdtasdt0(xq,xn))
| ~ spl6_134
| ~ spl6_493 ),
inference(superposition,[],[f1818,f16218]) ).
fof(f1818,plain,
( aNaturalNumber0(sdtasdt0(xm,xm))
| ~ spl6_134 ),
inference(avatar_component_clause,[],[f1816]) ).
fof(f17898,plain,
( spl6_507
| ~ spl6_361
| ~ spl6_493 ),
inference(avatar_split_clause,[],[f17439,f16216,f6806,f17896]) ).
fof(f17896,plain,
( spl6_507
<=> ! [X0] :
( ~ sdtlseqdt0(sdtasdt0(xq,xn),X0)
| sdtasdt0(xq,xn) = X0
| sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xp,X0))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_507])]) ).
fof(f6806,plain,
( spl6_361
<=> ! [X0] :
( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xp,X0))
| ~ aNaturalNumber0(X0)
| sdtasdt0(xm,xm) = X0
| ~ sdtlseqdt0(sdtasdt0(xm,xm),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_361])]) ).
fof(f17439,plain,
( ! [X0] :
( ~ sdtlseqdt0(sdtasdt0(xq,xn),X0)
| sdtasdt0(xq,xn) = X0
| sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xp,X0))
| ~ aNaturalNumber0(X0) )
| ~ spl6_361
| ~ spl6_493 ),
inference(forward_demodulation,[],[f17438,f16218]) ).
fof(f17438,plain,
( ! [X0] :
( sdtasdt0(xq,xn) = X0
| sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xp,X0))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xm,xm),X0) )
| ~ spl6_361
| ~ spl6_493 ),
inference(forward_demodulation,[],[f6807,f16218]) ).
fof(f6807,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xp,X0))
| ~ aNaturalNumber0(X0)
| sdtasdt0(xm,xm) = X0
| ~ sdtlseqdt0(sdtasdt0(xm,xm),X0) )
| ~ spl6_361 ),
inference(avatar_component_clause,[],[f6806]) ).
fof(f17894,plain,
( spl6_506
| ~ spl6_365
| ~ spl6_493 ),
inference(avatar_split_clause,[],[f17437,f16216,f6961,f17892]) ).
fof(f17892,plain,
( spl6_506
<=> ! [X0] :
( ~ sdtlseqdt0(X0,sdtasdt0(xq,xn))
| sdtasdt0(xq,xn) = X0
| sdtlseqdt0(sdtasdt0(xp,X0),sdtasdt0(xn,xn))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_506])]) ).
fof(f6961,plain,
( spl6_365
<=> ! [X0] :
( sdtlseqdt0(sdtasdt0(xp,X0),sdtasdt0(xn,xn))
| ~ aNaturalNumber0(X0)
| sdtasdt0(xm,xm) = X0
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xm)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_365])]) ).
fof(f17437,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,sdtasdt0(xq,xn))
| sdtasdt0(xq,xn) = X0
| sdtlseqdt0(sdtasdt0(xp,X0),sdtasdt0(xn,xn))
| ~ aNaturalNumber0(X0) )
| ~ spl6_365
| ~ spl6_493 ),
inference(forward_demodulation,[],[f17436,f16218]) ).
fof(f17436,plain,
( ! [X0] :
( sdtasdt0(xq,xn) = X0
| sdtlseqdt0(sdtasdt0(xp,X0),sdtasdt0(xn,xn))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xm)) )
| ~ spl6_365
| ~ spl6_493 ),
inference(forward_demodulation,[],[f6962,f16218]) ).
fof(f6962,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(xp,X0),sdtasdt0(xn,xn))
| ~ aNaturalNumber0(X0)
| sdtasdt0(xm,xm) = X0
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xm)) )
| ~ spl6_365 ),
inference(avatar_component_clause,[],[f6961]) ).
fof(f17511,plain,
( spl6_505
| ~ spl6_370
| ~ spl6_493 ),
inference(avatar_split_clause,[],[f17363,f16216,f7079,f17509]) ).
fof(f17509,plain,
( spl6_505
<=> ! [X0] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xq,xn)),sdtasdt0(xn,xn))
| ~ aNaturalNumber0(X0)
| xp = X0
| ~ sdtlseqdt0(X0,xp) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_505])]) ).
fof(f7079,plain,
( spl6_370
<=> ! [X0] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xm,xm)),sdtasdt0(xn,xn))
| ~ aNaturalNumber0(X0)
| xp = X0
| ~ sdtlseqdt0(X0,xp) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_370])]) ).
fof(f17363,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xq,xn)),sdtasdt0(xn,xn))
| ~ aNaturalNumber0(X0)
| xp = X0
| ~ sdtlseqdt0(X0,xp) )
| ~ spl6_370
| ~ spl6_493 ),
inference(forward_demodulation,[],[f7080,f16218]) ).
fof(f7080,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xm,xm)),sdtasdt0(xn,xn))
| ~ aNaturalNumber0(X0)
| xp = X0
| ~ sdtlseqdt0(X0,xp) )
| ~ spl6_370 ),
inference(avatar_component_clause,[],[f7079]) ).
fof(f17507,plain,
( spl6_504
| ~ spl6_368
| ~ spl6_493 ),
inference(avatar_split_clause,[],[f16919,f16216,f7022,f17505]) ).
fof(f17505,plain,
( spl6_504
<=> ! [X0] :
( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(X0,sdtasdt0(xq,xn)))
| ~ aNaturalNumber0(X0)
| xp = X0
| ~ sdtlseqdt0(xp,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_504])]) ).
fof(f7022,plain,
( spl6_368
<=> ! [X0] :
( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(X0,sdtasdt0(xm,xm)))
| ~ aNaturalNumber0(X0)
| xp = X0
| ~ sdtlseqdt0(xp,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_368])]) ).
fof(f16919,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(X0,sdtasdt0(xq,xn)))
| ~ aNaturalNumber0(X0)
| xp = X0
| ~ sdtlseqdt0(xp,X0) )
| ~ spl6_368
| ~ spl6_493 ),
inference(forward_demodulation,[],[f7023,f16218]) ).
fof(f7023,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(X0,sdtasdt0(xm,xm)))
| ~ aNaturalNumber0(X0)
| xp = X0
| ~ sdtlseqdt0(xp,X0) )
| ~ spl6_368 ),
inference(avatar_component_clause,[],[f7022]) ).
fof(f17472,plain,
( spl6_503
| ~ spl6_2
| ~ spl6_123
| ~ spl6_136
| ~ spl6_251
| ~ spl6_329 ),
inference(avatar_split_clause,[],[f6043,f6040,f4226,f1830,f1593,f250,f17470]) ).
fof(f1593,plain,
( spl6_123
<=> ! [X0] :
( sdtasdt0(X0,xn) = sdtasdt0(xn,X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_123])]) ).
fof(f4226,plain,
( spl6_251
<=> ! [X0] :
( sdtsldt0(sdtasdt0(X0,xn),xp) = sdtasdt0(X0,xq)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_251])]) ).
fof(f6040,plain,
( spl6_329
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xn),xp)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xn,xn)),xp) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_329])]) ).
fof(f6043,plain,
( ! [X0] :
( sdtsldt0(sdtasdt0(X0,sdtasdt0(xn,xn)),xp) = sdtasdt0(X0,sdtasdt0(xq,xn))
| ~ aNaturalNumber0(X0) )
| ~ spl6_2
| ~ spl6_123
| ~ spl6_136
| ~ spl6_251
| ~ spl6_329 ),
inference(forward_demodulation,[],[f6041,f4253]) ).
fof(f4253,plain,
( sdtsldt0(sdtasdt0(xn,xn),xp) = sdtasdt0(xq,xn)
| ~ spl6_2
| ~ spl6_123
| ~ spl6_136
| ~ spl6_251 ),
inference(forward_demodulation,[],[f4238,f2165]) ).
fof(f2165,plain,
( sdtasdt0(xq,xn) = sdtasdt0(xn,xq)
| ~ spl6_123
| ~ spl6_136 ),
inference(resolution,[],[f1831,f1594]) ).
fof(f1594,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,xn) = sdtasdt0(xn,X0) )
| ~ spl6_123 ),
inference(avatar_component_clause,[],[f1593]) ).
fof(f1831,plain,
( aNaturalNumber0(xq)
| ~ spl6_136 ),
inference(avatar_component_clause,[],[f1830]) ).
fof(f4238,plain,
( sdtsldt0(sdtasdt0(xn,xn),xp) = sdtasdt0(xn,xq)
| ~ spl6_2
| ~ spl6_251 ),
inference(resolution,[],[f4227,f252]) ).
fof(f252,plain,
( aNaturalNumber0(xn)
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f250]) ).
fof(f4227,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtsldt0(sdtasdt0(X0,xn),xp) = sdtasdt0(X0,xq) )
| ~ spl6_251 ),
inference(avatar_component_clause,[],[f4226]) ).
fof(f6041,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xn),xp)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xn,xn)),xp) )
| ~ spl6_329 ),
inference(avatar_component_clause,[],[f6040]) ).
fof(f17356,plain,
( spl6_502
| ~ spl6_4
| ~ spl6_275
| ~ spl6_361
| ~ spl6_478
| ~ spl6_493
| ~ spl6_494 ),
inference(avatar_split_clause,[],[f16791,f16317,f16216,f13754,f6806,f4886,f260,f16704]) ).
fof(f16704,plain,
( spl6_502
<=> ! [X0] :
( ~ sdtlseqdt0(sdtasdt0(xq,xn),X0)
| sdtasdt0(xq,xn) = X0
| sdtlseqdt0(xn,sdtasdt0(xp,X0))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_502])]) ).
fof(f4886,plain,
( spl6_275
<=> sdtasdt0(xn,xn) = sdtasdt0(xp,sdtasdt0(xq,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_275])]) ).
fof(f13754,plain,
( spl6_478
<=> xn = sdtsldt0(sdtasdt0(xp,xn),xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_478])]) ).
fof(f16317,plain,
( spl6_494
<=> ! [X0] :
( sdtsldt0(sdtasdt0(X0,xn),xp) = sdtasdt0(X0,sdtasdt0(xq,xn))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_494])]) ).
fof(f16791,plain,
( ! [X0] :
( ~ sdtlseqdt0(sdtasdt0(xq,xn),X0)
| sdtasdt0(xq,xn) = X0
| sdtlseqdt0(xn,sdtasdt0(xp,X0))
| ~ aNaturalNumber0(X0) )
| ~ spl6_4
| ~ spl6_275
| ~ spl6_361
| ~ spl6_478
| ~ spl6_493
| ~ spl6_494 ),
inference(forward_demodulation,[],[f16790,f16218]) ).
fof(f16790,plain,
( ! [X0] :
( sdtasdt0(xq,xn) = X0
| sdtlseqdt0(xn,sdtasdt0(xp,X0))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xm,xm),X0) )
| ~ spl6_4
| ~ spl6_275
| ~ spl6_361
| ~ spl6_478
| ~ spl6_493
| ~ spl6_494 ),
inference(forward_demodulation,[],[f16789,f16218]) ).
fof(f16789,plain,
( ! [X0] :
( sdtlseqdt0(xn,sdtasdt0(xp,X0))
| ~ aNaturalNumber0(X0)
| sdtasdt0(xm,xm) = X0
| ~ sdtlseqdt0(sdtasdt0(xm,xm),X0) )
| ~ spl6_4
| ~ spl6_275
| ~ spl6_361
| ~ spl6_478
| ~ spl6_494 ),
inference(forward_demodulation,[],[f6807,f16349]) ).
fof(f16349,plain,
( xn = sdtasdt0(xn,xn)
| ~ spl6_4
| ~ spl6_275
| ~ spl6_478
| ~ spl6_494 ),
inference(forward_demodulation,[],[f16348,f13756]) ).
fof(f13756,plain,
( xn = sdtsldt0(sdtasdt0(xp,xn),xp)
| ~ spl6_478 ),
inference(avatar_component_clause,[],[f13754]) ).
fof(f16348,plain,
( sdtasdt0(xn,xn) = sdtsldt0(sdtasdt0(xp,xn),xp)
| ~ spl6_4
| ~ spl6_275
| ~ spl6_494 ),
inference(forward_demodulation,[],[f16331,f4888]) ).
fof(f4888,plain,
( sdtasdt0(xn,xn) = sdtasdt0(xp,sdtasdt0(xq,xn))
| ~ spl6_275 ),
inference(avatar_component_clause,[],[f4886]) ).
fof(f16331,plain,
( sdtsldt0(sdtasdt0(xp,xn),xp) = sdtasdt0(xp,sdtasdt0(xq,xn))
| ~ spl6_4
| ~ spl6_494 ),
inference(resolution,[],[f16318,f262]) ).
fof(f16318,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtsldt0(sdtasdt0(X0,xn),xp) = sdtasdt0(X0,sdtasdt0(xq,xn)) )
| ~ spl6_494 ),
inference(avatar_component_clause,[],[f16317]) ).
fof(f16706,plain,
( spl6_502
| ~ spl6_493
| ~ spl6_500 ),
inference(avatar_split_clause,[],[f16698,f16694,f16216,f16704]) ).
fof(f16694,plain,
( spl6_500
<=> ! [X0] :
( sdtlseqdt0(xn,sdtasdt0(xp,X0))
| ~ aNaturalNumber0(X0)
| sdtasdt0(xm,xm) = X0
| ~ sdtlseqdt0(sdtasdt0(xm,xm),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_500])]) ).
fof(f16698,plain,
( ! [X0] :
( ~ sdtlseqdt0(sdtasdt0(xq,xn),X0)
| sdtasdt0(xq,xn) = X0
| sdtlseqdt0(xn,sdtasdt0(xp,X0))
| ~ aNaturalNumber0(X0) )
| ~ spl6_493
| ~ spl6_500 ),
inference(forward_demodulation,[],[f16697,f16218]) ).
fof(f16697,plain,
( ! [X0] :
( sdtasdt0(xq,xn) = X0
| sdtlseqdt0(xn,sdtasdt0(xp,X0))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xm,xm),X0) )
| ~ spl6_493
| ~ spl6_500 ),
inference(forward_demodulation,[],[f16695,f16218]) ).
fof(f16695,plain,
( ! [X0] :
( sdtlseqdt0(xn,sdtasdt0(xp,X0))
| ~ aNaturalNumber0(X0)
| sdtasdt0(xm,xm) = X0
| ~ sdtlseqdt0(sdtasdt0(xm,xm),X0) )
| ~ spl6_500 ),
inference(avatar_component_clause,[],[f16694]) ).
fof(f16702,plain,
( spl6_501
| ~ spl6_493
| ~ spl6_499 ),
inference(avatar_split_clause,[],[f16692,f16688,f16216,f16700]) ).
fof(f16700,plain,
( spl6_501
<=> ! [X0] :
( ~ sdtlseqdt0(X0,sdtasdt0(xq,xn))
| sdtasdt0(xq,xn) = X0
| sdtlseqdt0(sdtasdt0(xp,X0),xn)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_501])]) ).
fof(f16688,plain,
( spl6_499
<=> ! [X0] :
( sdtlseqdt0(sdtasdt0(xp,X0),xn)
| ~ aNaturalNumber0(X0)
| sdtasdt0(xm,xm) = X0
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xm)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_499])]) ).
fof(f16692,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,sdtasdt0(xq,xn))
| sdtasdt0(xq,xn) = X0
| sdtlseqdt0(sdtasdt0(xp,X0),xn)
| ~ aNaturalNumber0(X0) )
| ~ spl6_493
| ~ spl6_499 ),
inference(forward_demodulation,[],[f16691,f16218]) ).
fof(f16691,plain,
( ! [X0] :
( sdtasdt0(xq,xn) = X0
| sdtlseqdt0(sdtasdt0(xp,X0),xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xm)) )
| ~ spl6_493
| ~ spl6_499 ),
inference(forward_demodulation,[],[f16689,f16218]) ).
fof(f16689,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(xp,X0),xn)
| ~ aNaturalNumber0(X0)
| sdtasdt0(xm,xm) = X0
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xm)) )
| ~ spl6_499 ),
inference(avatar_component_clause,[],[f16688]) ).
fof(f16696,plain,
( spl6_500
| ~ spl6_361
| ~ spl6_419 ),
inference(avatar_split_clause,[],[f16111,f9302,f6806,f16694]) ).
fof(f9302,plain,
( spl6_419
<=> xn = sdtasdt0(xn,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_419])]) ).
fof(f16111,plain,
( ! [X0] :
( sdtlseqdt0(xn,sdtasdt0(xp,X0))
| ~ aNaturalNumber0(X0)
| sdtasdt0(xm,xm) = X0
| ~ sdtlseqdt0(sdtasdt0(xm,xm),X0) )
| ~ spl6_361
| ~ spl6_419 ),
inference(forward_demodulation,[],[f6807,f9304]) ).
fof(f9304,plain,
( xn = sdtasdt0(xn,xn)
| ~ spl6_419 ),
inference(avatar_component_clause,[],[f9302]) ).
fof(f16690,plain,
( spl6_499
| ~ spl6_365
| ~ spl6_419 ),
inference(avatar_split_clause,[],[f16099,f9302,f6961,f16688]) ).
fof(f16099,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(xp,X0),xn)
| ~ aNaturalNumber0(X0)
| sdtasdt0(xm,xm) = X0
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xm)) )
| ~ spl6_365
| ~ spl6_419 ),
inference(forward_demodulation,[],[f6962,f9304]) ).
fof(f16368,plain,
( spl6_498
| ~ spl6_493
| ~ spl6_496 ),
inference(avatar_split_clause,[],[f16360,f16357,f16216,f16366]) ).
fof(f16366,plain,
( spl6_498
<=> ! [X0] :
( sdtlseqdt0(xn,sdtasdt0(X0,sdtasdt0(xq,xn)))
| ~ aNaturalNumber0(X0)
| xp = X0
| ~ sdtlseqdt0(xp,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_498])]) ).
fof(f16357,plain,
( spl6_496
<=> ! [X0] :
( sdtlseqdt0(xn,sdtasdt0(X0,sdtasdt0(xm,xm)))
| ~ aNaturalNumber0(X0)
| xp = X0
| ~ sdtlseqdt0(xp,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_496])]) ).
fof(f16360,plain,
( ! [X0] :
( sdtlseqdt0(xn,sdtasdt0(X0,sdtasdt0(xq,xn)))
| ~ aNaturalNumber0(X0)
| xp = X0
| ~ sdtlseqdt0(xp,X0) )
| ~ spl6_493
| ~ spl6_496 ),
inference(forward_demodulation,[],[f16358,f16218]) ).
fof(f16358,plain,
( ! [X0] :
( sdtlseqdt0(xn,sdtasdt0(X0,sdtasdt0(xm,xm)))
| ~ aNaturalNumber0(X0)
| xp = X0
| ~ sdtlseqdt0(xp,X0) )
| ~ spl6_496 ),
inference(avatar_component_clause,[],[f16357]) ).
fof(f16364,plain,
( spl6_497
| ~ spl6_493
| ~ spl6_495 ),
inference(avatar_split_clause,[],[f16355,f16352,f16216,f16362]) ).
fof(f16362,plain,
( spl6_497
<=> ! [X0] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xq,xn)),xn)
| ~ aNaturalNumber0(X0)
| xp = X0
| ~ sdtlseqdt0(X0,xp) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_497])]) ).
fof(f16352,plain,
( spl6_495
<=> ! [X0] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xm,xm)),xn)
| ~ aNaturalNumber0(X0)
| xp = X0
| ~ sdtlseqdt0(X0,xp) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_495])]) ).
fof(f16355,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xq,xn)),xn)
| ~ aNaturalNumber0(X0)
| xp = X0
| ~ sdtlseqdt0(X0,xp) )
| ~ spl6_493
| ~ spl6_495 ),
inference(forward_demodulation,[],[f16353,f16218]) ).
fof(f16353,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xm,xm)),xn)
| ~ aNaturalNumber0(X0)
| xp = X0
| ~ sdtlseqdt0(X0,xp) )
| ~ spl6_495 ),
inference(avatar_component_clause,[],[f16352]) ).
fof(f16359,plain,
( spl6_496
| ~ spl6_368
| ~ spl6_419 ),
inference(avatar_split_clause,[],[f15910,f9302,f7022,f16357]) ).
fof(f15910,plain,
( ! [X0] :
( sdtlseqdt0(xn,sdtasdt0(X0,sdtasdt0(xm,xm)))
| ~ aNaturalNumber0(X0)
| xp = X0
| ~ sdtlseqdt0(xp,X0) )
| ~ spl6_368
| ~ spl6_419 ),
inference(forward_demodulation,[],[f7023,f9304]) ).
fof(f16354,plain,
( spl6_495
| ~ spl6_370
| ~ spl6_419 ),
inference(avatar_split_clause,[],[f9658,f9302,f7079,f16352]) ).
fof(f9658,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xm,xm)),xn)
| ~ aNaturalNumber0(X0)
| xp = X0
| ~ sdtlseqdt0(X0,xp) )
| ~ spl6_370
| ~ spl6_419 ),
inference(forward_demodulation,[],[f7080,f9304]) ).
fof(f16319,plain,
( spl6_494
| ~ spl6_2
| ~ spl6_123
| ~ spl6_136
| ~ spl6_251
| ~ spl6_329
| ~ spl6_419 ),
inference(avatar_split_clause,[],[f16156,f9302,f6040,f4226,f1830,f1593,f250,f16317]) ).
fof(f16156,plain,
( ! [X0] :
( sdtsldt0(sdtasdt0(X0,xn),xp) = sdtasdt0(X0,sdtasdt0(xq,xn))
| ~ aNaturalNumber0(X0) )
| ~ spl6_2
| ~ spl6_123
| ~ spl6_136
| ~ spl6_251
| ~ spl6_329
| ~ spl6_419 ),
inference(forward_demodulation,[],[f6043,f9304]) ).
fof(f16219,plain,
( spl6_493
| ~ spl6_2
| ~ spl6_123
| ~ spl6_136
| ~ spl6_251
| ~ spl6_344 ),
inference(avatar_split_clause,[],[f6490,f6486,f4226,f1830,f1593,f250,f16216]) ).
fof(f6486,plain,
( spl6_344
<=> sdtasdt0(xm,xm) = sdtsldt0(sdtasdt0(xn,xn),xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_344])]) ).
fof(f6490,plain,
( sdtasdt0(xm,xm) = sdtasdt0(xq,xn)
| ~ spl6_2
| ~ spl6_123
| ~ spl6_136
| ~ spl6_251
| ~ spl6_344 ),
inference(forward_demodulation,[],[f6488,f4253]) ).
fof(f6488,plain,
( sdtasdt0(xm,xm) = sdtsldt0(sdtasdt0(xn,xn),xp)
| ~ spl6_344 ),
inference(avatar_component_clause,[],[f6486]) ).
fof(f16214,plain,
( ~ spl6_492
| spl6_168
| ~ spl6_419 ),
inference(avatar_split_clause,[],[f12847,f9302,f2397,f16211]) ).
fof(f16211,plain,
( spl6_492
<=> xn = xp ),
introduced(avatar_definition,[new_symbols(naming,[spl6_492])]) ).
fof(f2397,plain,
( spl6_168
<=> xp = sdtasdt0(xn,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_168])]) ).
fof(f12847,plain,
( xn != xp
| spl6_168
| ~ spl6_419 ),
inference(superposition,[],[f2398,f9304]) ).
fof(f2398,plain,
( xp != sdtasdt0(xn,xn)
| spl6_168 ),
inference(avatar_component_clause,[],[f2397]) ).
fof(f16129,plain,
( spl6_345
| ~ spl6_2
| ~ spl6_123
| ~ spl6_136
| ~ spl6_251
| ~ spl6_344
| ~ spl6_427 ),
inference(avatar_split_clause,[],[f15912,f9724,f6486,f4226,f1830,f1593,f250,f6493]) ).
fof(f6493,plain,
( spl6_345
<=> sdtasdt0(xm,xm) = xq ),
introduced(avatar_definition,[new_symbols(naming,[spl6_345])]) ).
fof(f9724,plain,
( spl6_427
<=> xq = sdtasdt0(xq,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_427])]) ).
fof(f15912,plain,
( sdtasdt0(xm,xm) = xq
| ~ spl6_2
| ~ spl6_123
| ~ spl6_136
| ~ spl6_251
| ~ spl6_344
| ~ spl6_427 ),
inference(forward_demodulation,[],[f6490,f9726]) ).
fof(f9726,plain,
( xq = sdtasdt0(xq,xn)
| ~ spl6_427 ),
inference(avatar_component_clause,[],[f9724]) ).
fof(f15877,plain,
( ~ spl6_146
| spl6_10
| ~ spl6_3
| ~ spl6_345
| ~ spl6_435 ),
inference(avatar_split_clause,[],[f15189,f9841,f6493,f255,f290,f1950]) ).
fof(f9841,plain,
( spl6_435
<=> ! [X0] :
( sdtasdt0(X0,X0) != xq
| ~ aNaturalNumber0(X0)
| sz00 = X0
| ~ iLess0(X0,xn) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_435])]) ).
fof(f15189,plain,
( ~ aNaturalNumber0(xm)
| sz00 = xm
| ~ iLess0(xm,xn)
| ~ spl6_345
| ~ spl6_435 ),
inference(trivial_inequality_removal,[],[f15188]) ).
fof(f15188,plain,
( xq != xq
| ~ aNaturalNumber0(xm)
| sz00 = xm
| ~ iLess0(xm,xn)
| ~ spl6_345
| ~ spl6_435 ),
inference(superposition,[],[f9842,f6495]) ).
fof(f6495,plain,
( sdtasdt0(xm,xm) = xq
| ~ spl6_345 ),
inference(avatar_component_clause,[],[f6493]) ).
fof(f9842,plain,
( ! [X0] :
( sdtasdt0(X0,X0) != xq
| ~ aNaturalNumber0(X0)
| sz00 = X0
| ~ iLess0(X0,xn) )
| ~ spl6_435 ),
inference(avatar_component_clause,[],[f9841]) ).
fof(f15303,plain,
( spl6_491
| ~ spl6_345
| ~ spl6_359 ),
inference(avatar_split_clause,[],[f6752,f6749,f6493,f15301]) ).
fof(f15301,plain,
( spl6_491
<=> ! [X0] :
( sdtlseqdt0(xq,sdtasdt0(xp,X0))
| ~ aNaturalNumber0(X0)
| sdtasdt0(xq,xq) = X0
| ~ sdtlseqdt0(sdtasdt0(xq,xq),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_491])]) ).
fof(f6749,plain,
( spl6_359
<=> ! [X0] :
( sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xp,X0))
| ~ aNaturalNumber0(X0)
| sdtasdt0(xq,xq) = X0
| ~ sdtlseqdt0(sdtasdt0(xq,xq),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_359])]) ).
fof(f6752,plain,
( ! [X0] :
( sdtlseqdt0(xq,sdtasdt0(xp,X0))
| ~ aNaturalNumber0(X0)
| sdtasdt0(xq,xq) = X0
| ~ sdtlseqdt0(sdtasdt0(xq,xq),X0) )
| ~ spl6_345
| ~ spl6_359 ),
inference(forward_demodulation,[],[f6750,f6495]) ).
fof(f6750,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xp,X0))
| ~ aNaturalNumber0(X0)
| sdtasdt0(xq,xq) = X0
| ~ sdtlseqdt0(sdtasdt0(xq,xq),X0) )
| ~ spl6_359 ),
inference(avatar_component_clause,[],[f6749]) ).
fof(f15197,plain,
( spl6_490
| ~ spl6_345
| ~ spl6_367 ),
inference(avatar_split_clause,[],[f14661,f7018,f6493,f15195]) ).
fof(f15195,plain,
( spl6_490
<=> ! [X0] :
( sdtlseqdt0(xq,sdtasdt0(X0,sdtasdt0(xq,xq)))
| ~ aNaturalNumber0(X0)
| xp = X0
| ~ sdtlseqdt0(xp,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_490])]) ).
fof(f7018,plain,
( spl6_367
<=> ! [X0] :
( sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(X0,sdtasdt0(xq,xq)))
| ~ aNaturalNumber0(X0)
| xp = X0
| ~ sdtlseqdt0(xp,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_367])]) ).
fof(f14661,plain,
( ! [X0] :
( sdtlseqdt0(xq,sdtasdt0(X0,sdtasdt0(xq,xq)))
| ~ aNaturalNumber0(X0)
| xp = X0
| ~ sdtlseqdt0(xp,X0) )
| ~ spl6_345
| ~ spl6_367 ),
inference(forward_demodulation,[],[f7019,f6495]) ).
fof(f7019,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(X0,sdtasdt0(xq,xq)))
| ~ aNaturalNumber0(X0)
| xp = X0
| ~ sdtlseqdt0(xp,X0) )
| ~ spl6_367 ),
inference(avatar_component_clause,[],[f7018]) ).
fof(f15193,plain,
( spl6_489
| ~ spl6_345
| ~ spl6_369 ),
inference(avatar_split_clause,[],[f9660,f7075,f6493,f15191]) ).
fof(f15191,plain,
( spl6_489
<=> ! [X0] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xq,xq)),xq)
| ~ aNaturalNumber0(X0)
| xp = X0
| ~ sdtlseqdt0(X0,xp) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_489])]) ).
fof(f7075,plain,
( spl6_369
<=> ! [X0] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xq,xq)),sdtasdt0(xm,xm))
| ~ aNaturalNumber0(X0)
| xp = X0
| ~ sdtlseqdt0(X0,xp) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_369])]) ).
fof(f9660,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xq,xq)),xq)
| ~ aNaturalNumber0(X0)
| xp = X0
| ~ sdtlseqdt0(X0,xp) )
| ~ spl6_345
| ~ spl6_369 ),
inference(forward_demodulation,[],[f7076,f6495]) ).
fof(f7076,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xq,xq)),sdtasdt0(xm,xm))
| ~ aNaturalNumber0(X0)
| xp = X0
| ~ sdtlseqdt0(X0,xp) )
| ~ spl6_369 ),
inference(avatar_component_clause,[],[f7075]) ).
fof(f14609,plain,
( spl6_10
| ~ spl6_3
| ~ spl6_444
| ~ spl6_345
| ~ spl6_433 ),
inference(avatar_split_clause,[],[f9833,f9754,f6493,f13201,f255,f290]) ).
fof(f13201,plain,
( spl6_444
<=> iLess0(xm,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_444])]) ).
fof(f9754,plain,
( spl6_433
<=> ! [X0] :
( ~ iLess0(X0,xq)
| sdtasdt0(X0,X0) != xq
| ~ aNaturalNumber0(X0)
| sz00 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_433])]) ).
fof(f9833,plain,
( ~ iLess0(xm,xq)
| ~ aNaturalNumber0(xm)
| sz00 = xm
| ~ spl6_345
| ~ spl6_433 ),
inference(trivial_inequality_removal,[],[f9830]) ).
fof(f9830,plain,
( xq != xq
| ~ iLess0(xm,xq)
| ~ aNaturalNumber0(xm)
| sz00 = xm
| ~ spl6_345
| ~ spl6_433 ),
inference(superposition,[],[f9755,f6495]) ).
fof(f9755,plain,
( ! [X0] :
( sdtasdt0(X0,X0) != xq
| ~ iLess0(X0,xq)
| ~ aNaturalNumber0(X0)
| sz00 = X0 )
| ~ spl6_433 ),
inference(avatar_component_clause,[],[f9754]) ).
fof(f14608,plain,
( spl6_228
| ~ spl6_136
| ~ spl6_488
| ~ spl6_313
| ~ spl6_433 ),
inference(avatar_split_clause,[],[f9832,f9754,f5765,f14605,f1830,f3370]) ).
fof(f14605,plain,
( spl6_488
<=> iLess0(xq,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_488])]) ).
fof(f5765,plain,
( spl6_313
<=> xq = sdtasdt0(xq,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_313])]) ).
fof(f9832,plain,
( ~ iLess0(xq,xq)
| ~ aNaturalNumber0(xq)
| sz00 = xq
| ~ spl6_313
| ~ spl6_433 ),
inference(trivial_inequality_removal,[],[f9831]) ).
fof(f9831,plain,
( xq != xq
| ~ iLess0(xq,xq)
| ~ aNaturalNumber0(xq)
| sz00 = xq
| ~ spl6_313
| ~ spl6_433 ),
inference(superposition,[],[f9755,f5767]) ).
fof(f5767,plain,
( xq = sdtasdt0(xq,xq)
| ~ spl6_313 ),
inference(avatar_component_clause,[],[f5765]) ).
fof(f14369,plain,
( spl6_487
| ~ spl6_5
| ~ spl6_113
| ~ spl6_207 ),
inference(avatar_split_clause,[],[f3171,f2904,f1385,f265,f14366]) ).
fof(f14366,plain,
( spl6_487
<=> sz00 = sdtmndt0(sz00,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_487])]) ).
fof(f1385,plain,
( spl6_113
<=> sz00 = sdtpldt0(sz00,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_113])]) ).
fof(f2904,plain,
( spl6_207
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtmndt0(sdtpldt0(X1,X0),X1) = X0
| ~ aNaturalNumber0(sdtpldt0(X1,X0))
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_207])]) ).
fof(f3171,plain,
( ~ aNaturalNumber0(sz00)
| sz00 = sdtmndt0(sz00,sz00)
| ~ spl6_113
| ~ spl6_207 ),
inference(duplicate_literal_removal,[],[f3152]) ).
fof(f3152,plain,
( ~ aNaturalNumber0(sz00)
| sz00 = sdtmndt0(sz00,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz00)
| ~ spl6_113
| ~ spl6_207 ),
inference(superposition,[],[f2905,f1387]) ).
fof(f1387,plain,
( sz00 = sdtpldt0(sz00,sz00)
| ~ spl6_113 ),
inference(avatar_component_clause,[],[f1385]) ).
fof(f2905,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(sdtpldt0(X1,X0))
| sdtmndt0(sdtpldt0(X1,X0),X1) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl6_207 ),
inference(avatar_component_clause,[],[f2904]) ).
fof(f14314,plain,
( spl6_486
| ~ spl6_6
| ~ spl6_131 ),
inference(avatar_split_clause,[],[f1799,f1712,f270,f14311]) ).
fof(f14311,plain,
( spl6_486
<=> sz10 = sdtpldt0(sz10,sdtmndt0(sz10,sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_486])]) ).
fof(f270,plain,
( spl6_6
<=> aNaturalNumber0(sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_6])]) ).
fof(f1712,plain,
( spl6_131
<=> ! [X0] :
( sdtpldt0(X0,sdtmndt0(X0,X0)) = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_131])]) ).
fof(f1799,plain,
( sz10 = sdtpldt0(sz10,sdtmndt0(sz10,sz10))
| ~ spl6_6
| ~ spl6_131 ),
inference(resolution,[],[f1713,f272]) ).
fof(f272,plain,
( aNaturalNumber0(sz10)
| ~ spl6_6 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f1713,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sdtmndt0(X0,X0)) = X0 )
| ~ spl6_131 ),
inference(avatar_component_clause,[],[f1712]) ).
fof(f14309,plain,
( spl6_485
| ~ spl6_5
| ~ spl6_131 ),
inference(avatar_split_clause,[],[f1798,f1712,f265,f14306]) ).
fof(f14306,plain,
( spl6_485
<=> sz00 = sdtpldt0(sz00,sdtmndt0(sz00,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_485])]) ).
fof(f1798,plain,
( sz00 = sdtpldt0(sz00,sdtmndt0(sz00,sz00))
| ~ spl6_5
| ~ spl6_131 ),
inference(resolution,[],[f1713,f267]) ).
fof(f14304,plain,
( spl6_484
| ~ spl6_6
| ~ spl6_130 ),
inference(avatar_split_clause,[],[f1786,f1708,f270,f14301]) ).
fof(f14301,plain,
( spl6_484
<=> sz10 = sdtpldt0(sz10,sK5(sz10,sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_484])]) ).
fof(f1708,plain,
( spl6_130
<=> ! [X0] :
( sdtpldt0(X0,sK5(X0,X0)) = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_130])]) ).
fof(f1786,plain,
( sz10 = sdtpldt0(sz10,sK5(sz10,sz10))
| ~ spl6_6
| ~ spl6_130 ),
inference(resolution,[],[f1709,f272]) ).
fof(f1709,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sK5(X0,X0)) = X0 )
| ~ spl6_130 ),
inference(avatar_component_clause,[],[f1708]) ).
fof(f14299,plain,
( spl6_483
| ~ spl6_5
| ~ spl6_130 ),
inference(avatar_split_clause,[],[f1785,f1708,f265,f14296]) ).
fof(f14296,plain,
( spl6_483
<=> sz00 = sdtpldt0(sz00,sK5(sz00,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_483])]) ).
fof(f1785,plain,
( sz00 = sdtpldt0(sz00,sK5(sz00,sz00))
| ~ spl6_5
| ~ spl6_130 ),
inference(resolution,[],[f1709,f267]) ).
fof(f14262,plain,
( ~ spl6_5
| ~ spl6_6
| spl6_482
| ~ spl6_58
| ~ spl6_115 ),
inference(avatar_split_clause,[],[f1505,f1395,f616,f14259,f270,f265]) ).
fof(f14259,plain,
( spl6_482
<=> sdtlseqdt0(sz00,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_482])]) ).
fof(f616,plain,
( spl6_58
<=> ! [X2,X0] :
( sdtlseqdt0(X0,sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_58])]) ).
fof(f1395,plain,
( spl6_115
<=> sz10 = sdtpldt0(sz00,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_115])]) ).
fof(f1505,plain,
( sdtlseqdt0(sz00,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ spl6_58
| ~ spl6_115 ),
inference(duplicate_literal_removal,[],[f1494]) ).
fof(f1494,plain,
( sdtlseqdt0(sz00,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ spl6_58
| ~ spl6_115 ),
inference(superposition,[],[f617,f1397]) ).
fof(f1397,plain,
( sz10 = sdtpldt0(sz00,sz10)
| ~ spl6_115 ),
inference(avatar_component_clause,[],[f1395]) ).
fof(f617,plain,
( ! [X2,X0] :
( sdtlseqdt0(X0,sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X0) )
| ~ spl6_58 ),
inference(avatar_component_clause,[],[f616]) ).
fof(f14223,plain,
( ~ spl6_6
| ~ spl6_5
| spl6_481
| ~ spl6_57
| ~ spl6_111 ),
inference(avatar_split_clause,[],[f1434,f1375,f612,f14220,f265,f270]) ).
fof(f14220,plain,
( spl6_481
<=> doDivides0(sz10,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_481])]) ).
fof(f612,plain,
( spl6_57
<=> ! [X2,X0] :
( doDivides0(X0,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_57])]) ).
fof(f1375,plain,
( spl6_111
<=> sz00 = sdtasdt0(sz10,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_111])]) ).
fof(f1434,plain,
( doDivides0(sz10,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz10)
| ~ spl6_57
| ~ spl6_111 ),
inference(duplicate_literal_removal,[],[f1423]) ).
fof(f1423,plain,
( doDivides0(sz10,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz10)
| ~ spl6_57
| ~ spl6_111 ),
inference(superposition,[],[f613,f1377]) ).
fof(f1377,plain,
( sz00 = sdtasdt0(sz10,sz00)
| ~ spl6_111 ),
inference(avatar_component_clause,[],[f1375]) ).
fof(f613,plain,
( ! [X2,X0] :
( doDivides0(X0,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X0) )
| ~ spl6_57 ),
inference(avatar_component_clause,[],[f612]) ).
fof(f13770,plain,
( ~ spl6_136
| ~ spl6_3
| spl6_480
| ~ spl6_57
| ~ spl6_345 ),
inference(avatar_split_clause,[],[f6544,f6493,f612,f13767,f255,f1830]) ).
fof(f13767,plain,
( spl6_480
<=> doDivides0(xm,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_480])]) ).
fof(f6544,plain,
( doDivides0(xm,xq)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xq)
| ~ spl6_57
| ~ spl6_345 ),
inference(duplicate_literal_removal,[],[f6507]) ).
fof(f6507,plain,
( doDivides0(xm,xq)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm)
| ~ spl6_57
| ~ spl6_345 ),
inference(superposition,[],[f613,f6495]) ).
fof(f13764,plain,
( spl6_479
| ~ spl6_6
| ~ spl6_29
| ~ spl6_145
| ~ spl6_297
| ~ spl6_330 ),
inference(avatar_split_clause,[],[f6069,f6046,f5436,f1917,f381,f270,f13761]) ).
fof(f13761,plain,
( spl6_479
<=> xq = sdtsldt0(sdtasdt0(xn,xn),xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_479])]) ).
fof(f381,plain,
( spl6_29
<=> ! [X0] :
( sdtasdt0(sz10,X0) = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_29])]) ).
fof(f1917,plain,
( spl6_145
<=> aNaturalNumber0(sdtasdt0(xn,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_145])]) ).
fof(f5436,plain,
( spl6_297
<=> xq = sdtasdt0(sz10,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_297])]) ).
fof(f6069,plain,
( xq = sdtsldt0(sdtasdt0(xn,xn),xp)
| ~ spl6_6
| ~ spl6_29
| ~ spl6_145
| ~ spl6_297
| ~ spl6_330 ),
inference(forward_demodulation,[],[f6068,f5438]) ).
fof(f5438,plain,
( xq = sdtasdt0(sz10,xq)
| ~ spl6_297 ),
inference(avatar_component_clause,[],[f5436]) ).
fof(f6068,plain,
( sdtsldt0(sdtasdt0(xn,xn),xp) = sdtasdt0(sz10,xq)
| ~ spl6_6
| ~ spl6_29
| ~ spl6_145
| ~ spl6_330 ),
inference(forward_demodulation,[],[f6050,f1927]) ).
fof(f1927,plain,
( sdtasdt0(xn,xn) = sdtasdt0(sz10,sdtasdt0(xn,xn))
| ~ spl6_29
| ~ spl6_145 ),
inference(resolution,[],[f1919,f382]) ).
fof(f382,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sz10,X0) = X0 )
| ~ spl6_29 ),
inference(avatar_component_clause,[],[f381]) ).
fof(f1919,plain,
( aNaturalNumber0(sdtasdt0(xn,xn))
| ~ spl6_145 ),
inference(avatar_component_clause,[],[f1917]) ).
fof(f6050,plain,
( sdtasdt0(sz10,xq) = sdtsldt0(sdtasdt0(sz10,sdtasdt0(xn,xn)),xp)
| ~ spl6_6
| ~ spl6_330 ),
inference(resolution,[],[f6047,f272]) ).
fof(f13757,plain,
( spl6_478
| ~ spl6_4
| ~ spl6_154
| ~ spl6_251 ),
inference(avatar_split_clause,[],[f4255,f4226,f2131,f260,f13754]) ).
fof(f4255,plain,
( xn = sdtsldt0(sdtasdt0(xp,xn),xp)
| ~ spl6_4
| ~ spl6_154
| ~ spl6_251 ),
inference(forward_demodulation,[],[f4240,f2133]) ).
fof(f4240,plain,
( sdtasdt0(xp,xq) = sdtsldt0(sdtasdt0(xp,xn),xp)
| ~ spl6_4
| ~ spl6_251 ),
inference(resolution,[],[f4227,f262]) ).
fof(f13746,plain,
( spl6_477
| ~ spl6_24
| ~ spl6_133 ),
inference(avatar_split_clause,[],[f2082,f1812,f360,f13743]) ).
fof(f13743,plain,
( spl6_477
<=> sz00 = sdtasdt0(sz00,sdtasdt0(xq,xq)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_477])]) ).
fof(f360,plain,
( spl6_24
<=> ! [X0] :
( sz00 = sdtasdt0(sz00,X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_24])]) ).
fof(f1812,plain,
( spl6_133
<=> aNaturalNumber0(sdtasdt0(xq,xq)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_133])]) ).
fof(f2082,plain,
( sz00 = sdtasdt0(sz00,sdtasdt0(xq,xq))
| ~ spl6_24
| ~ spl6_133 ),
inference(resolution,[],[f1813,f361]) ).
fof(f361,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,X0) )
| ~ spl6_24 ),
inference(avatar_component_clause,[],[f360]) ).
fof(f1813,plain,
( aNaturalNumber0(sdtasdt0(xq,xq))
| ~ spl6_133 ),
inference(avatar_component_clause,[],[f1812]) ).
fof(f13740,plain,
( spl6_476
| ~ spl6_23
| ~ spl6_133 ),
inference(avatar_split_clause,[],[f2081,f1812,f356,f13737]) ).
fof(f13737,plain,
( spl6_476
<=> sz00 = sdtasdt0(sdtasdt0(xq,xq),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_476])]) ).
fof(f356,plain,
( spl6_23
<=> ! [X0] :
( sz00 = sdtasdt0(X0,sz00)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_23])]) ).
fof(f2081,plain,
( sz00 = sdtasdt0(sdtasdt0(xq,xq),sz00)
| ~ spl6_23
| ~ spl6_133 ),
inference(resolution,[],[f1813,f357]) ).
fof(f357,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(X0,sz00) )
| ~ spl6_23 ),
inference(avatar_component_clause,[],[f356]) ).
fof(f13734,plain,
( spl6_475
| ~ spl6_24
| ~ spl6_145 ),
inference(avatar_split_clause,[],[f1923,f1917,f360,f13731]) ).
fof(f1923,plain,
( sz00 = sdtasdt0(sz00,sdtasdt0(xn,xn))
| ~ spl6_24
| ~ spl6_145 ),
inference(resolution,[],[f1919,f361]) ).
fof(f13728,plain,
( spl6_474
| ~ spl6_23
| ~ spl6_145 ),
inference(avatar_split_clause,[],[f1922,f1917,f356,f13725]) ).
fof(f13725,plain,
( spl6_474
<=> sz00 = sdtasdt0(sdtasdt0(xn,xn),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_474])]) ).
fof(f1922,plain,
( sz00 = sdtasdt0(sdtasdt0(xn,xn),sz00)
| ~ spl6_23
| ~ spl6_145 ),
inference(resolution,[],[f1919,f357]) ).
fof(f13722,plain,
( spl6_473
| ~ spl6_24
| ~ spl6_134 ),
inference(avatar_split_clause,[],[f1889,f1816,f360,f13719]) ).
fof(f13719,plain,
( spl6_473
<=> sz00 = sdtasdt0(sz00,sdtasdt0(xm,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_473])]) ).
fof(f1889,plain,
( sz00 = sdtasdt0(sz00,sdtasdt0(xm,xm))
| ~ spl6_24
| ~ spl6_134 ),
inference(resolution,[],[f1818,f361]) ).
fof(f13716,plain,
( spl6_472
| ~ spl6_23
| ~ spl6_134 ),
inference(avatar_split_clause,[],[f1888,f1816,f356,f13713]) ).
fof(f13713,plain,
( spl6_472
<=> sz00 = sdtasdt0(sdtasdt0(xm,xm),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_472])]) ).
fof(f1888,plain,
( sz00 = sdtasdt0(sdtasdt0(xm,xm),sz00)
| ~ spl6_23
| ~ spl6_134 ),
inference(resolution,[],[f1818,f357]) ).
fof(f13711,plain,
( spl6_471
| ~ spl6_4
| ~ spl6_131 ),
inference(avatar_split_clause,[],[f1806,f1712,f260,f13708]) ).
fof(f13708,plain,
( spl6_471
<=> xp = sdtpldt0(xp,sdtmndt0(xp,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_471])]) ).
fof(f1806,plain,
( xp = sdtpldt0(xp,sdtmndt0(xp,xp))
| ~ spl6_4
| ~ spl6_131 ),
inference(resolution,[],[f1713,f262]) ).
fof(f13706,plain,
( spl6_470
| ~ spl6_3
| ~ spl6_131 ),
inference(avatar_split_clause,[],[f1805,f1712,f255,f13703]) ).
fof(f13703,plain,
( spl6_470
<=> xm = sdtpldt0(xm,sdtmndt0(xm,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_470])]) ).
fof(f1805,plain,
( xm = sdtpldt0(xm,sdtmndt0(xm,xm))
| ~ spl6_3
| ~ spl6_131 ),
inference(resolution,[],[f1713,f257]) ).
fof(f257,plain,
( aNaturalNumber0(xm)
| ~ spl6_3 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f13700,plain,
( spl6_469
| ~ spl6_2
| ~ spl6_131 ),
inference(avatar_split_clause,[],[f1804,f1712,f250,f13697]) ).
fof(f13697,plain,
( spl6_469
<=> xn = sdtpldt0(xn,sdtmndt0(xn,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_469])]) ).
fof(f1804,plain,
( xn = sdtpldt0(xn,sdtmndt0(xn,xn))
| ~ spl6_2
| ~ spl6_131 ),
inference(resolution,[],[f1713,f252]) ).
fof(f13695,plain,
( spl6_468
| ~ spl6_4
| ~ spl6_130 ),
inference(avatar_split_clause,[],[f1793,f1708,f260,f13692]) ).
fof(f13692,plain,
( spl6_468
<=> xp = sdtpldt0(xp,sK5(xp,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_468])]) ).
fof(f1793,plain,
( xp = sdtpldt0(xp,sK5(xp,xp))
| ~ spl6_4
| ~ spl6_130 ),
inference(resolution,[],[f1709,f262]) ).
fof(f13690,plain,
( spl6_467
| ~ spl6_3
| ~ spl6_130 ),
inference(avatar_split_clause,[],[f1792,f1708,f255,f13687]) ).
fof(f13687,plain,
( spl6_467
<=> xm = sdtpldt0(xm,sK5(xm,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_467])]) ).
fof(f1792,plain,
( xm = sdtpldt0(xm,sK5(xm,xm))
| ~ spl6_3
| ~ spl6_130 ),
inference(resolution,[],[f1709,f257]) ).
fof(f13684,plain,
( spl6_466
| ~ spl6_2
| ~ spl6_130 ),
inference(avatar_split_clause,[],[f1791,f1708,f250,f13681]) ).
fof(f13681,plain,
( spl6_466
<=> xn = sdtpldt0(xn,sK5(xn,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_466])]) ).
fof(f1791,plain,
( xn = sdtpldt0(xn,sK5(xn,xn))
| ~ spl6_2
| ~ spl6_130 ),
inference(resolution,[],[f1709,f252]) ).
fof(f13679,plain,
( spl6_465
| ~ spl6_4
| ~ spl6_124 ),
inference(avatar_split_clause,[],[f1669,f1597,f260,f13676]) ).
fof(f13676,plain,
( spl6_465
<=> sdtasdt0(xp,xm) = sdtasdt0(xm,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_465])]) ).
fof(f1597,plain,
( spl6_124
<=> ! [X0] :
( sdtasdt0(X0,xm) = sdtasdt0(xm,X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_124])]) ).
fof(f1669,plain,
( sdtasdt0(xp,xm) = sdtasdt0(xm,xp)
| ~ spl6_4
| ~ spl6_124 ),
inference(resolution,[],[f1598,f262]) ).
fof(f1598,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,xm) = sdtasdt0(xm,X0) )
| ~ spl6_124 ),
inference(avatar_component_clause,[],[f1597]) ).
fof(f13672,plain,
( spl6_464
| ~ spl6_4
| ~ spl6_123 ),
inference(avatar_split_clause,[],[f1654,f1593,f260,f13669]) ).
fof(f13669,plain,
( spl6_464
<=> sdtasdt0(xp,xn) = sdtasdt0(xn,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_464])]) ).
fof(f1654,plain,
( sdtasdt0(xp,xn) = sdtasdt0(xn,xp)
| ~ spl6_4
| ~ spl6_123 ),
inference(resolution,[],[f1594,f262]) ).
fof(f13666,plain,
( spl6_463
| ~ spl6_3
| ~ spl6_123 ),
inference(avatar_split_clause,[],[f1653,f1593,f255,f13663]) ).
fof(f13663,plain,
( spl6_463
<=> sdtasdt0(xm,xn) = sdtasdt0(xn,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_463])]) ).
fof(f1653,plain,
( sdtasdt0(xm,xn) = sdtasdt0(xn,xm)
| ~ spl6_3
| ~ spl6_123 ),
inference(resolution,[],[f1594,f257]) ).
fof(f13661,plain,
( spl6_462
| ~ spl6_6
| ~ spl6_122 ),
inference(avatar_split_clause,[],[f1633,f1589,f270,f13658]) ).
fof(f13658,plain,
( spl6_462
<=> sdtpldt0(sz10,xp) = sdtpldt0(xp,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_462])]) ).
fof(f1589,plain,
( spl6_122
<=> ! [X0] :
( sdtpldt0(X0,xp) = sdtpldt0(xp,X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_122])]) ).
fof(f1633,plain,
( sdtpldt0(sz10,xp) = sdtpldt0(xp,sz10)
| ~ spl6_6
| ~ spl6_122 ),
inference(resolution,[],[f1590,f272]) ).
fof(f1590,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,xp) = sdtpldt0(xp,X0) )
| ~ spl6_122 ),
inference(avatar_component_clause,[],[f1589]) ).
fof(f13656,plain,
( spl6_461
| ~ spl6_4
| ~ spl6_121 ),
inference(avatar_split_clause,[],[f1626,f1585,f260,f13653]) ).
fof(f13653,plain,
( spl6_461
<=> sdtpldt0(xp,xm) = sdtpldt0(xm,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_461])]) ).
fof(f1585,plain,
( spl6_121
<=> ! [X0] :
( sdtpldt0(X0,xm) = sdtpldt0(xm,X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_121])]) ).
fof(f1626,plain,
( sdtpldt0(xp,xm) = sdtpldt0(xm,xp)
| ~ spl6_4
| ~ spl6_121 ),
inference(resolution,[],[f1586,f262]) ).
fof(f1586,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,xm) = sdtpldt0(xm,X0) )
| ~ spl6_121 ),
inference(avatar_component_clause,[],[f1585]) ).
fof(f13651,plain,
( spl6_460
| ~ spl6_6
| ~ spl6_121 ),
inference(avatar_split_clause,[],[f1619,f1585,f270,f13648]) ).
fof(f13648,plain,
( spl6_460
<=> sdtpldt0(sz10,xm) = sdtpldt0(xm,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_460])]) ).
fof(f1619,plain,
( sdtpldt0(sz10,xm) = sdtpldt0(xm,sz10)
| ~ spl6_6
| ~ spl6_121 ),
inference(resolution,[],[f1586,f272]) ).
fof(f13645,plain,
( spl6_459
| ~ spl6_4
| ~ spl6_120 ),
inference(avatar_split_clause,[],[f1612,f1581,f260,f13642]) ).
fof(f13642,plain,
( spl6_459
<=> sdtpldt0(xp,xn) = sdtpldt0(xn,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_459])]) ).
fof(f1581,plain,
( spl6_120
<=> ! [X0] :
( sdtpldt0(X0,xn) = sdtpldt0(xn,X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_120])]) ).
fof(f1612,plain,
( sdtpldt0(xp,xn) = sdtpldt0(xn,xp)
| ~ spl6_4
| ~ spl6_120 ),
inference(resolution,[],[f1582,f262]) ).
fof(f1582,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,xn) = sdtpldt0(xn,X0) )
| ~ spl6_120 ),
inference(avatar_component_clause,[],[f1581]) ).
fof(f13639,plain,
( spl6_458
| ~ spl6_3
| ~ spl6_120 ),
inference(avatar_split_clause,[],[f1611,f1581,f255,f13636]) ).
fof(f13636,plain,
( spl6_458
<=> sdtpldt0(xm,xn) = sdtpldt0(xn,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_458])]) ).
fof(f1611,plain,
( sdtpldt0(xm,xn) = sdtpldt0(xn,xm)
| ~ spl6_3
| ~ spl6_120 ),
inference(resolution,[],[f1582,f257]) ).
fof(f13603,plain,
( spl6_457
| ~ spl6_6
| ~ spl6_120 ),
inference(avatar_split_clause,[],[f1605,f1581,f270,f13600]) ).
fof(f13600,plain,
( spl6_457
<=> sdtpldt0(sz10,xn) = sdtpldt0(xn,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_457])]) ).
fof(f1605,plain,
( sdtpldt0(sz10,xn) = sdtpldt0(xn,sz10)
| ~ spl6_6
| ~ spl6_120 ),
inference(resolution,[],[f1582,f272]) ).
fof(f13562,plain,
( ~ spl6_6
| ~ spl6_4
| spl6_456
| ~ spl6_57
| ~ spl6_108 ),
inference(avatar_split_clause,[],[f1368,f1099,f612,f13559,f260,f270]) ).
fof(f13559,plain,
( spl6_456
<=> doDivides0(sz10,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_456])]) ).
fof(f1099,plain,
( spl6_108
<=> xp = sdtasdt0(sz10,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_108])]) ).
fof(f1368,plain,
( doDivides0(sz10,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz10)
| ~ spl6_57
| ~ spl6_108 ),
inference(duplicate_literal_removal,[],[f1357]) ).
fof(f1357,plain,
( doDivides0(sz10,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz10)
| ~ spl6_57
| ~ spl6_108 ),
inference(superposition,[],[f613,f1101]) ).
fof(f1101,plain,
( xp = sdtasdt0(sz10,xp)
| ~ spl6_108 ),
inference(avatar_component_clause,[],[f1099]) ).
fof(f13523,plain,
( ~ spl6_6
| ~ spl6_3
| spl6_455
| ~ spl6_57
| ~ spl6_107 ),
inference(avatar_split_clause,[],[f1354,f1094,f612,f13520,f255,f270]) ).
fof(f13520,plain,
( spl6_455
<=> doDivides0(sz10,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_455])]) ).
fof(f1094,plain,
( spl6_107
<=> xm = sdtasdt0(sz10,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_107])]) ).
fof(f1354,plain,
( doDivides0(sz10,xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz10)
| ~ spl6_57
| ~ spl6_107 ),
inference(duplicate_literal_removal,[],[f1343]) ).
fof(f1343,plain,
( doDivides0(sz10,xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz10)
| ~ spl6_57
| ~ spl6_107 ),
inference(superposition,[],[f613,f1096]) ).
fof(f1096,plain,
( xm = sdtasdt0(sz10,xm)
| ~ spl6_107 ),
inference(avatar_component_clause,[],[f1094]) ).
fof(f13484,plain,
( spl6_454
| ~ spl6_320
| ~ spl6_453 ),
inference(avatar_split_clause,[],[f13479,f13475,f5871,f13481]) ).
fof(f13481,plain,
( spl6_454
<=> doDivides0(sz10,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_454])]) ).
fof(f5871,plain,
( spl6_320
<=> xn = xq ),
introduced(avatar_definition,[new_symbols(naming,[spl6_320])]) ).
fof(f13475,plain,
( spl6_453
<=> doDivides0(sz10,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_453])]) ).
fof(f13479,plain,
( doDivides0(sz10,xq)
| ~ spl6_320
| ~ spl6_453 ),
inference(forward_demodulation,[],[f13477,f5872]) ).
fof(f5872,plain,
( xn = xq
| ~ spl6_320 ),
inference(avatar_component_clause,[],[f5871]) ).
fof(f13477,plain,
( doDivides0(sz10,xn)
| ~ spl6_453 ),
inference(avatar_component_clause,[],[f13475]) ).
fof(f13478,plain,
( ~ spl6_6
| ~ spl6_2
| spl6_453
| ~ spl6_57
| ~ spl6_106 ),
inference(avatar_split_clause,[],[f1340,f1089,f612,f13475,f250,f270]) ).
fof(f1089,plain,
( spl6_106
<=> xn = sdtasdt0(sz10,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_106])]) ).
fof(f1340,plain,
( doDivides0(sz10,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz10)
| ~ spl6_57
| ~ spl6_106 ),
inference(duplicate_literal_removal,[],[f1329]) ).
fof(f1329,plain,
( doDivides0(sz10,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz10)
| ~ spl6_57
| ~ spl6_106 ),
inference(superposition,[],[f613,f1091]) ).
fof(f1091,plain,
( xn = sdtasdt0(sz10,xn)
| ~ spl6_106 ),
inference(avatar_component_clause,[],[f1089]) ).
fof(f13405,plain,
( ~ spl6_4
| ~ spl6_6
| spl6_452
| ~ spl6_57
| ~ spl6_105 ),
inference(avatar_split_clause,[],[f1326,f1084,f612,f13402,f270,f260]) ).
fof(f13402,plain,
( spl6_452
<=> doDivides0(xp,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_452])]) ).
fof(f1084,plain,
( spl6_105
<=> xp = sdtasdt0(xp,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_105])]) ).
fof(f1326,plain,
( doDivides0(xp,xp)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ spl6_57
| ~ spl6_105 ),
inference(duplicate_literal_removal,[],[f1315]) ).
fof(f1315,plain,
( doDivides0(xp,xp)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xp)
| ~ spl6_57
| ~ spl6_105 ),
inference(superposition,[],[f613,f1086]) ).
fof(f1086,plain,
( xp = sdtasdt0(xp,sz10)
| ~ spl6_105 ),
inference(avatar_component_clause,[],[f1084]) ).
fof(f13400,plain,
( ~ spl6_451
| spl6_147
| ~ spl6_320 ),
inference(avatar_split_clause,[],[f11011,f5871,f1955,f13397]) ).
fof(f13397,plain,
( spl6_451
<=> sdtlseqdt0(xq,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_451])]) ).
fof(f1955,plain,
( spl6_147
<=> sdtlseqdt0(xn,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_147])]) ).
fof(f11011,plain,
( ~ sdtlseqdt0(xq,xm)
| spl6_147
| ~ spl6_320 ),
inference(superposition,[],[f1957,f5872]) ).
fof(f1957,plain,
( ~ sdtlseqdt0(xn,xm)
| spl6_147 ),
inference(avatar_component_clause,[],[f1955]) ).
fof(f13328,plain,
( ~ spl6_3
| ~ spl6_6
| spl6_450
| ~ spl6_57
| ~ spl6_104 ),
inference(avatar_split_clause,[],[f1307,f1079,f612,f13325,f270,f255]) ).
fof(f13325,plain,
( spl6_450
<=> doDivides0(xm,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_450])]) ).
fof(f1079,plain,
( spl6_104
<=> xm = sdtasdt0(xm,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_104])]) ).
fof(f1307,plain,
( doDivides0(xm,xm)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ spl6_57
| ~ spl6_104 ),
inference(duplicate_literal_removal,[],[f1296]) ).
fof(f1296,plain,
( doDivides0(xm,xm)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xm)
| ~ spl6_57
| ~ spl6_104 ),
inference(superposition,[],[f613,f1081]) ).
fof(f1081,plain,
( xm = sdtasdt0(xm,sz10)
| ~ spl6_104 ),
inference(avatar_component_clause,[],[f1079]) ).
fof(f13322,plain,
( ~ spl6_2
| ~ spl6_6
| spl6_449
| ~ spl6_57
| ~ spl6_103 ),
inference(avatar_split_clause,[],[f1293,f1074,f612,f13319,f270,f250]) ).
fof(f13319,plain,
( spl6_449
<=> doDivides0(xn,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_449])]) ).
fof(f1074,plain,
( spl6_103
<=> xn = sdtasdt0(xn,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_103])]) ).
fof(f1293,plain,
( doDivides0(xn,xn)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ spl6_57
| ~ spl6_103 ),
inference(duplicate_literal_removal,[],[f1282]) ).
fof(f1282,plain,
( doDivides0(xn,xn)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xn)
| ~ spl6_57
| ~ spl6_103 ),
inference(superposition,[],[f613,f1076]) ).
fof(f1076,plain,
( xn = sdtasdt0(xn,sz10)
| ~ spl6_103 ),
inference(avatar_component_clause,[],[f1074]) ).
fof(f13287,plain,
( ~ spl6_5
| ~ spl6_4
| spl6_448
| ~ spl6_58
| ~ spl6_102 ),
inference(avatar_split_clause,[],[f1279,f1069,f616,f13284,f260,f265]) ).
fof(f13284,plain,
( spl6_448
<=> sdtlseqdt0(sz00,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_448])]) ).
fof(f1069,plain,
( spl6_102
<=> xp = sdtpldt0(sz00,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_102])]) ).
fof(f1279,plain,
( sdtlseqdt0(sz00,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ spl6_58
| ~ spl6_102 ),
inference(duplicate_literal_removal,[],[f1268]) ).
fof(f1268,plain,
( sdtlseqdt0(sz00,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ spl6_58
| ~ spl6_102 ),
inference(superposition,[],[f617,f1071]) ).
fof(f1071,plain,
( xp = sdtpldt0(sz00,xp)
| ~ spl6_102 ),
inference(avatar_component_clause,[],[f1069]) ).
fof(f13250,plain,
( ~ spl6_5
| ~ spl6_3
| spl6_447
| ~ spl6_58
| ~ spl6_101 ),
inference(avatar_split_clause,[],[f1264,f1064,f616,f13247,f255,f265]) ).
fof(f13247,plain,
( spl6_447
<=> sdtlseqdt0(sz00,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_447])]) ).
fof(f1064,plain,
( spl6_101
<=> xm = sdtpldt0(sz00,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_101])]) ).
fof(f1264,plain,
( sdtlseqdt0(sz00,xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00)
| ~ spl6_58
| ~ spl6_101 ),
inference(duplicate_literal_removal,[],[f1253]) ).
fof(f1253,plain,
( sdtlseqdt0(sz00,xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00)
| ~ spl6_58
| ~ spl6_101 ),
inference(superposition,[],[f617,f1066]) ).
fof(f1066,plain,
( xm = sdtpldt0(sz00,xm)
| ~ spl6_101 ),
inference(avatar_component_clause,[],[f1064]) ).
fof(f13215,plain,
( spl6_446
| ~ spl6_320
| ~ spl6_445 ),
inference(avatar_split_clause,[],[f13210,f13206,f5871,f13212]) ).
fof(f13212,plain,
( spl6_446
<=> sdtlseqdt0(sz00,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_446])]) ).
fof(f13206,plain,
( spl6_445
<=> sdtlseqdt0(sz00,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_445])]) ).
fof(f13210,plain,
( sdtlseqdt0(sz00,xq)
| ~ spl6_320
| ~ spl6_445 ),
inference(forward_demodulation,[],[f13208,f5872]) ).
fof(f13208,plain,
( sdtlseqdt0(sz00,xn)
| ~ spl6_445 ),
inference(avatar_component_clause,[],[f13206]) ).
fof(f13209,plain,
( ~ spl6_5
| ~ spl6_2
| spl6_445
| ~ spl6_58
| ~ spl6_100 ),
inference(avatar_split_clause,[],[f1249,f1059,f616,f13206,f250,f265]) ).
fof(f1059,plain,
( spl6_100
<=> xn = sdtpldt0(sz00,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_100])]) ).
fof(f1249,plain,
( sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz00)
| ~ spl6_58
| ~ spl6_100 ),
inference(duplicate_literal_removal,[],[f1238]) ).
fof(f1238,plain,
( sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz00)
| ~ spl6_58
| ~ spl6_100 ),
inference(superposition,[],[f617,f1061]) ).
fof(f1061,plain,
( xn = sdtpldt0(sz00,xn)
| ~ spl6_100 ),
inference(avatar_component_clause,[],[f1059]) ).
fof(f13204,plain,
( spl6_444
| ~ spl6_146
| ~ spl6_320 ),
inference(avatar_split_clause,[],[f11010,f5871,f1950,f13201]) ).
fof(f11010,plain,
( iLess0(xm,xq)
| ~ spl6_146
| ~ spl6_320 ),
inference(superposition,[],[f1952,f5872]) ).
fof(f1952,plain,
( iLess0(xm,xn)
| ~ spl6_146 ),
inference(avatar_component_clause,[],[f1950]) ).
fof(f13147,plain,
( ~ spl6_4
| ~ spl6_5
| spl6_443
| ~ spl6_57
| ~ spl6_93 ),
inference(avatar_split_clause,[],[f1144,f1024,f612,f13144,f265,f260]) ).
fof(f13144,plain,
( spl6_443
<=> doDivides0(xp,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_443])]) ).
fof(f1024,plain,
( spl6_93
<=> sz00 = sdtasdt0(xp,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_93])]) ).
fof(f1144,plain,
( doDivides0(xp,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ spl6_57
| ~ spl6_93 ),
inference(duplicate_literal_removal,[],[f1133]) ).
fof(f1133,plain,
( doDivides0(xp,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ spl6_57
| ~ spl6_93 ),
inference(superposition,[],[f613,f1026]) ).
fof(f1026,plain,
( sz00 = sdtasdt0(xp,sz00)
| ~ spl6_93 ),
inference(avatar_component_clause,[],[f1024]) ).
fof(f13108,plain,
( ~ spl6_3
| ~ spl6_5
| spl6_442
| ~ spl6_57
| ~ spl6_90 ),
inference(avatar_split_clause,[],[f1130,f1010,f612,f13105,f265,f255]) ).
fof(f13105,plain,
( spl6_442
<=> doDivides0(xm,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_442])]) ).
fof(f1010,plain,
( spl6_90
<=> sz00 = sdtasdt0(xm,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_90])]) ).
fof(f1130,plain,
( doDivides0(xm,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ spl6_57
| ~ spl6_90 ),
inference(duplicate_literal_removal,[],[f1119]) ).
fof(f1119,plain,
( doDivides0(xm,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ spl6_57
| ~ spl6_90 ),
inference(superposition,[],[f613,f1012]) ).
fof(f1012,plain,
( sz00 = sdtasdt0(xm,sz00)
| ~ spl6_90 ),
inference(avatar_component_clause,[],[f1010]) ).
fof(f13069,plain,
( spl6_441
| ~ spl6_320
| ~ spl6_440 ),
inference(avatar_split_clause,[],[f13064,f13060,f5871,f13066]) ).
fof(f13066,plain,
( spl6_441
<=> doDivides0(xq,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_441])]) ).
fof(f13060,plain,
( spl6_440
<=> doDivides0(xn,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_440])]) ).
fof(f13064,plain,
( doDivides0(xq,sz00)
| ~ spl6_320
| ~ spl6_440 ),
inference(forward_demodulation,[],[f13062,f5872]) ).
fof(f13062,plain,
( doDivides0(xn,sz00)
| ~ spl6_440 ),
inference(avatar_component_clause,[],[f13060]) ).
fof(f13063,plain,
( ~ spl6_2
| ~ spl6_5
| spl6_440
| ~ spl6_57
| ~ spl6_89 ),
inference(avatar_split_clause,[],[f1116,f1005,f612,f13060,f265,f250]) ).
fof(f1005,plain,
( spl6_89
<=> sz00 = sdtasdt0(xn,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_89])]) ).
fof(f1116,plain,
( doDivides0(xn,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ spl6_57
| ~ spl6_89 ),
inference(duplicate_literal_removal,[],[f1105]) ).
fof(f1105,plain,
( doDivides0(xn,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ spl6_57
| ~ spl6_89 ),
inference(superposition,[],[f613,f1007]) ).
fof(f1007,plain,
( sz00 = sdtasdt0(xn,sz00)
| ~ spl6_89 ),
inference(avatar_component_clause,[],[f1005]) ).
fof(f12100,plain,
( spl6_439
| ~ spl6_13
| ~ spl6_320 ),
inference(avatar_split_clause,[],[f10994,f5871,f305,f12097]) ).
fof(f12097,plain,
( spl6_439
<=> sdtlseqdt0(xm,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_439])]) ).
fof(f305,plain,
( spl6_13
<=> sdtlseqdt0(xm,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_13])]) ).
fof(f10994,plain,
( sdtlseqdt0(xm,xq)
| ~ spl6_13
| ~ spl6_320 ),
inference(superposition,[],[f307,f5872]) ).
fof(f307,plain,
( sdtlseqdt0(xm,xn)
| ~ spl6_13 ),
inference(avatar_component_clause,[],[f305]) ).
fof(f12095,plain,
( spl6_438
| ~ spl6_48
| ~ spl6_82 ),
inference(avatar_split_clause,[],[f931,f877,f573,f12093]) ).
fof(f12093,plain,
( spl6_438
<=> ! [X0,X1] :
( doDivides0(sK3(sdtasdt0(X0,X1)),X0)
| doDivides0(sK3(sdtasdt0(X0,X1)),X1)
| ~ isPrime0(sK3(sdtasdt0(X0,X1)))
| ~ aNaturalNumber0(sK3(sdtasdt0(X0,X1)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz10 = sdtasdt0(X0,X1)
| sz00 = sdtasdt0(X0,X1)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_438])]) ).
fof(f573,plain,
( spl6_48
<=> ! [X0] :
( doDivides0(sK3(X0),X0)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_48])]) ).
fof(f877,plain,
( spl6_82
<=> ! [X2,X0,X1] :
( doDivides0(X2,X1)
| doDivides0(X2,X0)
| ~ doDivides0(X2,sdtasdt0(X0,X1))
| ~ isPrime0(X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_82])]) ).
fof(f931,plain,
( ! [X0,X1] :
( doDivides0(sK3(sdtasdt0(X0,X1)),X0)
| doDivides0(sK3(sdtasdt0(X0,X1)),X1)
| ~ isPrime0(sK3(sdtasdt0(X0,X1)))
| ~ aNaturalNumber0(sK3(sdtasdt0(X0,X1)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz10 = sdtasdt0(X0,X1)
| sz00 = sdtasdt0(X0,X1)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) )
| ~ spl6_48
| ~ spl6_82 ),
inference(resolution,[],[f878,f574]) ).
fof(f574,plain,
( ! [X0] :
( doDivides0(sK3(X0),X0)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl6_48 ),
inference(avatar_component_clause,[],[f573]) ).
fof(f878,plain,
( ! [X2,X0,X1] :
( ~ doDivides0(X2,sdtasdt0(X0,X1))
| doDivides0(X2,X0)
| doDivides0(X2,X1)
| ~ isPrime0(X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_82 ),
inference(avatar_component_clause,[],[f877]) ).
fof(f12091,plain,
( spl6_437
| ~ spl6_45
| ~ spl6_82 ),
inference(avatar_split_clause,[],[f930,f877,f559,f12089]) ).
fof(f12089,plain,
( spl6_437
<=> ! [X0,X1] :
( doDivides0(sK2(sdtasdt0(X0,X1)),X0)
| doDivides0(sK2(sdtasdt0(X0,X1)),X1)
| ~ isPrime0(sK2(sdtasdt0(X0,X1)))
| ~ aNaturalNumber0(sK2(sdtasdt0(X0,X1)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sP0(sdtasdt0(X0,X1))
| sz10 = sdtasdt0(X0,X1)
| sz00 = sdtasdt0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_437])]) ).
fof(f559,plain,
( spl6_45
<=> ! [X0] :
( sP0(X0)
| doDivides0(sK2(X0),X0)
| sz10 = X0
| sz00 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_45])]) ).
fof(f930,plain,
( ! [X0,X1] :
( doDivides0(sK2(sdtasdt0(X0,X1)),X0)
| doDivides0(sK2(sdtasdt0(X0,X1)),X1)
| ~ isPrime0(sK2(sdtasdt0(X0,X1)))
| ~ aNaturalNumber0(sK2(sdtasdt0(X0,X1)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sP0(sdtasdt0(X0,X1))
| sz10 = sdtasdt0(X0,X1)
| sz00 = sdtasdt0(X0,X1) )
| ~ spl6_45
| ~ spl6_82 ),
inference(resolution,[],[f878,f560]) ).
fof(f560,plain,
( ! [X0] :
( doDivides0(sK2(X0),X0)
| sP0(X0)
| sz10 = X0
| sz00 = X0 )
| ~ spl6_45 ),
inference(avatar_component_clause,[],[f559]) ).
fof(f11646,plain,
( spl6_436
| ~ spl6_61
| ~ spl6_85 ),
inference(avatar_split_clause,[],[f967,f953,f671,f11644]) ).
fof(f11644,plain,
( spl6_436
<=> ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| X0 = X1
| sz00 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X1,X2) = sdtpldt0(sdtasdt0(X0,X2),sK5(sdtasdt0(X0,X2),sdtasdt0(X1,X2)))
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_436])]) ).
fof(f671,plain,
( spl6_61
<=> ! [X0,X1] :
( sdtpldt0(X0,sK5(X0,X1)) = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_61])]) ).
fof(f953,plain,
( spl6_85
<=> ! [X2,X0,X1] :
( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_85])]) ).
fof(f967,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| X0 = X1
| sz00 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X1,X2) = sdtpldt0(sdtasdt0(X0,X2),sK5(sdtasdt0(X0,X2),sdtasdt0(X1,X2)))
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X2)) )
| ~ spl6_61
| ~ spl6_85 ),
inference(resolution,[],[f954,f672]) ).
fof(f672,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| sdtpldt0(X0,sK5(X0,X1)) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_61 ),
inference(avatar_component_clause,[],[f671]) ).
fof(f954,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_85 ),
inference(avatar_component_clause,[],[f953]) ).
fof(f10329,plain,
( spl6_320
| ~ spl6_33
| ~ spl6_154
| ~ spl6_313
| ~ spl6_345 ),
inference(avatar_split_clause,[],[f9721,f6493,f5765,f2131,f442,f5871]) ).
fof(f9721,plain,
( xn = xq
| ~ spl6_33
| ~ spl6_154
| ~ spl6_313
| ~ spl6_345 ),
inference(forward_demodulation,[],[f9720,f6495]) ).
fof(f9720,plain,
( xn = sdtasdt0(xm,xm)
| ~ spl6_33
| ~ spl6_154
| ~ spl6_313 ),
inference(forward_demodulation,[],[f9671,f2133]) ).
fof(f9671,plain,
( sdtasdt0(xm,xm) = sdtasdt0(xp,xq)
| ~ spl6_33
| ~ spl6_313 ),
inference(superposition,[],[f444,f5767]) ).
fof(f9843,plain,
( ~ spl6_136
| ~ spl6_4
| spl6_228
| spl6_11
| ~ spl6_1
| spl6_435
| ~ spl6_33
| ~ spl6_88
| ~ spl6_345 ),
inference(avatar_split_clause,[],[f9653,f6493,f997,f442,f9841,f245,f295,f3370,f260,f1830]) ).
fof(f9653,plain,
( ! [X0] :
( sdtasdt0(X0,X0) != xq
| ~ iLess0(X0,xn)
| ~ isPrime0(xp)
| sz00 = xp
| sz00 = xq
| sz00 = X0
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0) )
| ~ spl6_33
| ~ spl6_88
| ~ spl6_345 ),
inference(forward_demodulation,[],[f1000,f6495]) ).
fof(f9837,plain,
( spl6_434
| ~ spl6_345
| ~ spl6_363 ),
inference(avatar_split_clause,[],[f6907,f6904,f6493,f9835]) ).
fof(f9835,plain,
( spl6_434
<=> ! [X0] :
( sdtlseqdt0(sdtasdt0(xp,X0),xq)
| ~ aNaturalNumber0(X0)
| sdtasdt0(xq,xq) = X0
| ~ sdtlseqdt0(X0,sdtasdt0(xq,xq)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_434])]) ).
fof(f6904,plain,
( spl6_363
<=> ! [X0] :
( sdtlseqdt0(sdtasdt0(xp,X0),sdtasdt0(xm,xm))
| ~ aNaturalNumber0(X0)
| sdtasdt0(xq,xq) = X0
| ~ sdtlseqdt0(X0,sdtasdt0(xq,xq)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_363])]) ).
fof(f6907,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(xp,X0),xq)
| ~ aNaturalNumber0(X0)
| sdtasdt0(xq,xq) = X0
| ~ sdtlseqdt0(X0,sdtasdt0(xq,xq)) )
| ~ spl6_345
| ~ spl6_363 ),
inference(forward_demodulation,[],[f6905,f6495]) ).
fof(f6905,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(xp,X0),sdtasdt0(xm,xm))
| ~ aNaturalNumber0(X0)
| sdtasdt0(xq,xq) = X0
| ~ sdtlseqdt0(X0,sdtasdt0(xq,xq)) )
| ~ spl6_363 ),
inference(avatar_component_clause,[],[f6904]) ).
fof(f9827,plain,
( ~ spl6_228
| spl6_260
| ~ spl6_345 ),
inference(avatar_split_clause,[],[f6502,f6493,f4582,f3370]) ).
fof(f6502,plain,
( sz00 != xq
| spl6_260
| ~ spl6_345 ),
inference(superposition,[],[f4584,f6495]) ).
fof(f9756,plain,
( spl6_433
| ~ spl6_33
| ~ spl6_154
| ~ spl6_313
| ~ spl6_345
| ~ spl6_428 ),
inference(avatar_split_clause,[],[f9734,f9730,f6493,f5765,f2131,f442,f9754]) ).
fof(f9730,plain,
( spl6_428
<=> ! [X0] :
( xn != sdtasdt0(X0,X0)
| ~ aNaturalNumber0(X0)
| sz00 = X0
| ~ iLess0(X0,xn) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_428])]) ).
fof(f9734,plain,
( ! [X0] :
( ~ iLess0(X0,xq)
| sdtasdt0(X0,X0) != xq
| ~ aNaturalNumber0(X0)
| sz00 = X0 )
| ~ spl6_33
| ~ spl6_154
| ~ spl6_313
| ~ spl6_345
| ~ spl6_428 ),
inference(forward_demodulation,[],[f9733,f9721]) ).
fof(f9733,plain,
( ! [X0] :
( sdtasdt0(X0,X0) != xq
| ~ aNaturalNumber0(X0)
| sz00 = X0
| ~ iLess0(X0,xn) )
| ~ spl6_33
| ~ spl6_154
| ~ spl6_313
| ~ spl6_345
| ~ spl6_428 ),
inference(forward_demodulation,[],[f9731,f9721]) ).
fof(f9731,plain,
( ! [X0] :
( xn != sdtasdt0(X0,X0)
| ~ aNaturalNumber0(X0)
| sz00 = X0
| ~ iLess0(X0,xn) )
| ~ spl6_428 ),
inference(avatar_component_clause,[],[f9730]) ).
fof(f9752,plain,
( spl6_432
| ~ spl6_313
| ~ spl6_345
| ~ spl6_367 ),
inference(avatar_split_clause,[],[f9665,f7018,f6493,f5765,f9750]) ).
fof(f9750,plain,
( spl6_432
<=> ! [X0] :
( sdtlseqdt0(xq,sdtasdt0(X0,xq))
| ~ aNaturalNumber0(X0)
| xp = X0
| ~ sdtlseqdt0(xp,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_432])]) ).
fof(f9665,plain,
( ! [X0] :
( sdtlseqdt0(xq,sdtasdt0(X0,xq))
| ~ aNaturalNumber0(X0)
| xp = X0
| ~ sdtlseqdt0(xp,X0) )
| ~ spl6_313
| ~ spl6_345
| ~ spl6_367 ),
inference(forward_demodulation,[],[f9664,f6495]) ).
fof(f9664,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(X0,xq))
| ~ aNaturalNumber0(X0)
| xp = X0
| ~ sdtlseqdt0(xp,X0) )
| ~ spl6_313
| ~ spl6_367 ),
inference(forward_demodulation,[],[f7019,f5767]) ).
fof(f9747,plain,
( spl6_431
| ~ spl6_345
| ~ spl6_368
| ~ spl6_419 ),
inference(avatar_split_clause,[],[f9663,f9302,f7022,f6493,f9745]) ).
fof(f9745,plain,
( spl6_431
<=> ! [X0] :
( sdtlseqdt0(xn,sdtasdt0(X0,xq))
| ~ aNaturalNumber0(X0)
| xp = X0
| ~ sdtlseqdt0(xp,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_431])]) ).
fof(f9663,plain,
( ! [X0] :
( sdtlseqdt0(xn,sdtasdt0(X0,xq))
| ~ aNaturalNumber0(X0)
| xp = X0
| ~ sdtlseqdt0(xp,X0) )
| ~ spl6_345
| ~ spl6_368
| ~ spl6_419 ),
inference(forward_demodulation,[],[f9662,f9304]) ).
fof(f9662,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(X0,xq))
| ~ aNaturalNumber0(X0)
| xp = X0
| ~ sdtlseqdt0(xp,X0) )
| ~ spl6_345
| ~ spl6_368 ),
inference(forward_demodulation,[],[f7023,f6495]) ).
fof(f9743,plain,
( spl6_430
| ~ spl6_313
| ~ spl6_345
| ~ spl6_369 ),
inference(avatar_split_clause,[],[f9661,f7075,f6493,f5765,f9741]) ).
fof(f9741,plain,
( spl6_430
<=> ! [X0] :
( sdtlseqdt0(sdtasdt0(X0,xq),xq)
| ~ aNaturalNumber0(X0)
| xp = X0
| ~ sdtlseqdt0(X0,xp) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_430])]) ).
fof(f9661,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(X0,xq),xq)
| ~ aNaturalNumber0(X0)
| xp = X0
| ~ sdtlseqdt0(X0,xp) )
| ~ spl6_313
| ~ spl6_345
| ~ spl6_369 ),
inference(forward_demodulation,[],[f9660,f5767]) ).
fof(f9738,plain,
( spl6_429
| ~ spl6_345
| ~ spl6_370
| ~ spl6_419 ),
inference(avatar_split_clause,[],[f9659,f9302,f7079,f6493,f9736]) ).
fof(f9736,plain,
( spl6_429
<=> ! [X0] :
( sdtlseqdt0(sdtasdt0(X0,xq),xn)
| ~ aNaturalNumber0(X0)
| xp = X0
| ~ sdtlseqdt0(X0,xp) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_429])]) ).
fof(f9659,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(X0,xq),xn)
| ~ aNaturalNumber0(X0)
| xp = X0
| ~ sdtlseqdt0(X0,xp) )
| ~ spl6_345
| ~ spl6_370
| ~ spl6_419 ),
inference(forward_demodulation,[],[f9658,f6495]) ).
fof(f9732,plain,
( spl6_428
| ~ spl6_34
| ~ spl6_154
| ~ spl6_345
| ~ spl6_346 ),
inference(avatar_split_clause,[],[f6571,f6568,f6493,f2131,f447,f9730]) ).
fof(f447,plain,
( spl6_34
<=> sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_34])]) ).
fof(f6571,plain,
( ! [X0] :
( xn != sdtasdt0(X0,X0)
| ~ aNaturalNumber0(X0)
| sz00 = X0
| ~ iLess0(X0,xn) )
| ~ spl6_34
| ~ spl6_154
| ~ spl6_345
| ~ spl6_346 ),
inference(forward_demodulation,[],[f6569,f6547]) ).
fof(f6547,plain,
( xn = sdtasdt0(xn,xn)
| ~ spl6_34
| ~ spl6_154
| ~ spl6_345 ),
inference(forward_demodulation,[],[f6497,f2133]) ).
fof(f6497,plain,
( sdtasdt0(xn,xn) = sdtasdt0(xp,xq)
| ~ spl6_34
| ~ spl6_345 ),
inference(superposition,[],[f449,f6495]) ).
fof(f449,plain,
( sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn)
| ~ spl6_34 ),
inference(avatar_component_clause,[],[f447]) ).
fof(f9727,plain,
( spl6_427
| ~ spl6_2
| ~ spl6_123
| ~ spl6_136
| ~ spl6_251
| ~ spl6_344
| ~ spl6_345 ),
inference(avatar_split_clause,[],[f9637,f6493,f6486,f4226,f1830,f1593,f250,f9724]) ).
fof(f9637,plain,
( xq = sdtasdt0(xq,xn)
| ~ spl6_2
| ~ spl6_123
| ~ spl6_136
| ~ spl6_251
| ~ spl6_344
| ~ spl6_345 ),
inference(forward_demodulation,[],[f6490,f6495]) ).
fof(f9572,plain,
( ~ spl6_3
| spl6_328
| ~ spl6_64
| ~ spl6_228
| ~ spl6_345 ),
inference(avatar_split_clause,[],[f6832,f6493,f3370,f728,f5969,f255]) ).
fof(f5969,plain,
( spl6_328
<=> xm = xq ),
introduced(avatar_definition,[new_symbols(naming,[spl6_328])]) ).
fof(f728,plain,
( spl6_64
<=> ! [X0,X1] :
( sz00 = X1
| sz00 = X0
| sz00 != sdtasdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_64])]) ).
fof(f6832,plain,
( xm = xq
| ~ aNaturalNumber0(xm)
| ~ spl6_64
| ~ spl6_228
| ~ spl6_345 ),
inference(forward_demodulation,[],[f6831,f3372]) ).
fof(f3372,plain,
( sz00 = xq
| ~ spl6_228 ),
inference(avatar_component_clause,[],[f3370]) ).
fof(f6831,plain,
( sz00 = xm
| ~ aNaturalNumber0(xm)
| ~ spl6_64
| ~ spl6_228
| ~ spl6_345 ),
inference(trivial_inequality_removal,[],[f6830]) ).
fof(f6830,plain,
( xq != xq
| sz00 = xm
| ~ aNaturalNumber0(xm)
| ~ spl6_64
| ~ spl6_228
| ~ spl6_345 ),
inference(forward_demodulation,[],[f6543,f3372]) ).
fof(f6543,plain,
( sz00 != xq
| sz00 = xm
| ~ aNaturalNumber0(xm)
| ~ spl6_64
| ~ spl6_345 ),
inference(duplicate_literal_removal,[],[f6508]) ).
fof(f6508,plain,
( sz00 != xq
| sz00 = xm
| sz00 = xm
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xm)
| ~ spl6_64
| ~ spl6_345 ),
inference(superposition,[],[f729,f6495]) ).
fof(f729,plain,
( ! [X0,X1] :
( sz00 != sdtasdt0(X0,X1)
| sz00 = X0
| sz00 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_64 ),
inference(avatar_component_clause,[],[f728]) ).
fof(f9503,plain,
( spl6_426
| ~ spl6_228
| ~ spl6_425 ),
inference(avatar_split_clause,[],[f9499,f9496,f3370,f9501]) ).
fof(f9501,plain,
( spl6_426
<=> ! [X2,X0,X1] :
( xq = X2
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X1,X2) = sdtpldt0(sdtasdt0(X0,X2),sdtmndt0(sdtasdt0(X1,X2),sdtasdt0(X0,X2)))
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_426])]) ).
fof(f9496,plain,
( spl6_425
<=> ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| X0 = X1
| sz00 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X1,X2) = sdtpldt0(sdtasdt0(X0,X2),sdtmndt0(sdtasdt0(X1,X2),sdtasdt0(X0,X2)))
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_425])]) ).
fof(f9499,plain,
( ! [X2,X0,X1] :
( xq = X2
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X1,X2) = sdtpldt0(sdtasdt0(X0,X2),sdtmndt0(sdtasdt0(X1,X2),sdtasdt0(X0,X2)))
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X2)) )
| ~ spl6_228
| ~ spl6_425 ),
inference(forward_demodulation,[],[f9497,f3372]) ).
fof(f9497,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(sdtasdt0(X1,X2))
| X0 = X1
| sz00 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X1,X2) = sdtpldt0(sdtasdt0(X0,X2),sdtmndt0(sdtasdt0(X1,X2),sdtasdt0(X0,X2)))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtasdt0(X0,X2)) )
| ~ spl6_425 ),
inference(avatar_component_clause,[],[f9496]) ).
fof(f9498,plain,
( spl6_425
| ~ spl6_62
| ~ spl6_85 ),
inference(avatar_split_clause,[],[f966,f953,f675,f9496]) ).
fof(f675,plain,
( spl6_62
<=> ! [X0,X1] :
( sdtpldt0(X0,sdtmndt0(X1,X0)) = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_62])]) ).
fof(f966,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| X0 = X1
| sz00 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X1,X2) = sdtpldt0(sdtasdt0(X0,X2),sdtmndt0(sdtasdt0(X1,X2),sdtasdt0(X0,X2)))
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X2)) )
| ~ spl6_62
| ~ spl6_85 ),
inference(resolution,[],[f954,f676]) ).
fof(f676,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| sdtpldt0(X0,sdtmndt0(X1,X0)) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_62 ),
inference(avatar_component_clause,[],[f675]) ).
fof(f9411,plain,
( spl6_424
| ~ spl6_228
| ~ spl6_423 ),
inference(avatar_split_clause,[],[f9407,f9404,f3370,f9409]) ).
fof(f9409,plain,
( spl6_424
<=> ! [X2,X0,X1] :
( xq = X2
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X2,X1) = sdtpldt0(sdtasdt0(X2,X0),sK5(sdtasdt0(X2,X0),sdtasdt0(X2,X1)))
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_424])]) ).
fof(f9404,plain,
( spl6_423
<=> ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| X0 = X1
| sz00 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X2,X1) = sdtpldt0(sdtasdt0(X2,X0),sK5(sdtasdt0(X2,X0),sdtasdt0(X2,X1)))
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_423])]) ).
fof(f9407,plain,
( ! [X2,X0,X1] :
( xq = X2
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X2,X1) = sdtpldt0(sdtasdt0(X2,X0),sK5(sdtasdt0(X2,X0),sdtasdt0(X2,X1)))
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X2,X0)) )
| ~ spl6_228
| ~ spl6_423 ),
inference(forward_demodulation,[],[f9405,f3372]) ).
fof(f9405,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(sdtasdt0(X2,X1))
| X0 = X1
| sz00 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X2,X1) = sdtpldt0(sdtasdt0(X2,X0),sK5(sdtasdt0(X2,X0),sdtasdt0(X2,X1)))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtasdt0(X2,X0)) )
| ~ spl6_423 ),
inference(avatar_component_clause,[],[f9404]) ).
fof(f9406,plain,
( spl6_423
| ~ spl6_61
| ~ spl6_84 ),
inference(avatar_split_clause,[],[f958,f949,f671,f9404]) ).
fof(f949,plain,
( spl6_84
<=> ! [X2,X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_84])]) ).
fof(f958,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| X0 = X1
| sz00 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X2,X1) = sdtpldt0(sdtasdt0(X2,X0),sK5(sdtasdt0(X2,X0),sdtasdt0(X2,X1)))
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X2,X0)) )
| ~ spl6_61
| ~ spl6_84 ),
inference(resolution,[],[f950,f672]) ).
fof(f950,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_84 ),
inference(avatar_component_clause,[],[f949]) ).
fof(f9319,plain,
( spl6_422
| ~ spl6_228
| ~ spl6_421 ),
inference(avatar_split_clause,[],[f9315,f9312,f3370,f9317]) ).
fof(f9317,plain,
( spl6_422
<=> ! [X2,X0,X1] :
( xq = X2
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X2,X1) = sdtpldt0(sdtasdt0(X2,X0),sdtmndt0(sdtasdt0(X2,X1),sdtasdt0(X2,X0)))
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_422])]) ).
fof(f9312,plain,
( spl6_421
<=> ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| X0 = X1
| sz00 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X2,X1) = sdtpldt0(sdtasdt0(X2,X0),sdtmndt0(sdtasdt0(X2,X1),sdtasdt0(X2,X0)))
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_421])]) ).
fof(f9315,plain,
( ! [X2,X0,X1] :
( xq = X2
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X2,X1) = sdtpldt0(sdtasdt0(X2,X0),sdtmndt0(sdtasdt0(X2,X1),sdtasdt0(X2,X0)))
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X2,X0)) )
| ~ spl6_228
| ~ spl6_421 ),
inference(forward_demodulation,[],[f9313,f3372]) ).
fof(f9313,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(sdtasdt0(X2,X1))
| X0 = X1
| sz00 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X2,X1) = sdtpldt0(sdtasdt0(X2,X0),sdtmndt0(sdtasdt0(X2,X1),sdtasdt0(X2,X0)))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtasdt0(X2,X0)) )
| ~ spl6_421 ),
inference(avatar_component_clause,[],[f9312]) ).
fof(f9314,plain,
( spl6_421
| ~ spl6_62
| ~ spl6_84 ),
inference(avatar_split_clause,[],[f957,f949,f675,f9312]) ).
fof(f957,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| X0 = X1
| sz00 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X2,X1) = sdtpldt0(sdtasdt0(X2,X0),sdtmndt0(sdtasdt0(X2,X1),sdtasdt0(X2,X0)))
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X2,X0)) )
| ~ spl6_62
| ~ spl6_84 ),
inference(resolution,[],[f950,f676]) ).
fof(f9309,plain,
( spl6_420
| ~ spl6_54
| ~ spl6_85 ),
inference(avatar_split_clause,[],[f969,f953,f600,f9307]) ).
fof(f9307,plain,
( spl6_420
<=> ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| X0 = X1
| sz00 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| iLess0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
| sdtasdt0(X1,X2) = sdtasdt0(X0,X2)
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_420])]) ).
fof(f600,plain,
( spl6_54
<=> ! [X0,X1] :
( iLess0(X0,X1)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_54])]) ).
fof(f969,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| X0 = X1
| sz00 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| iLess0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
| sdtasdt0(X1,X2) = sdtasdt0(X0,X2)
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X2)) )
| ~ spl6_54
| ~ spl6_85 ),
inference(resolution,[],[f954,f601]) ).
fof(f601,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| iLess0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_54 ),
inference(avatar_component_clause,[],[f600]) ).
fof(f9305,plain,
( spl6_419
| ~ spl6_34
| ~ spl6_154
| ~ spl6_345 ),
inference(avatar_split_clause,[],[f6547,f6493,f2131,f447,f9302]) ).
fof(f9149,plain,
( spl6_418
| ~ spl6_228
| ~ spl6_417 ),
inference(avatar_split_clause,[],[f9145,f9142,f3370,f9147]) ).
fof(f9147,plain,
( spl6_418
<=> ! [X2,X0,X1] :
( xq = X2
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X1,X2) = sdtasdt0(X0,X2)
| ~ sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X0,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(sdtasdt0(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_418])]) ).
fof(f9142,plain,
( spl6_417
<=> ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| X0 = X1
| sz00 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X1,X2) = sdtasdt0(X0,X2)
| ~ sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X0,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(sdtasdt0(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_417])]) ).
fof(f9145,plain,
( ! [X2,X0,X1] :
( xq = X2
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X1,X2) = sdtasdt0(X0,X2)
| ~ sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X0,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(sdtasdt0(X1,X2)) )
| ~ spl6_228
| ~ spl6_417 ),
inference(forward_demodulation,[],[f9143,f3372]) ).
fof(f9143,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X0,X2))
| X0 = X1
| sz00 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X1,X2) = sdtasdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(sdtasdt0(X1,X2)) )
| ~ spl6_417 ),
inference(avatar_component_clause,[],[f9142]) ).
fof(f9144,plain,
( spl6_417
| ~ spl6_56
| ~ spl6_85 ),
inference(avatar_split_clause,[],[f968,f953,f608,f9142]) ).
fof(f608,plain,
( spl6_56
<=> ! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_56])]) ).
fof(f968,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| X0 = X1
| sz00 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X1,X2) = sdtasdt0(X0,X2)
| ~ sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X0,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(sdtasdt0(X1,X2)) )
| ~ spl6_56
| ~ spl6_85 ),
inference(resolution,[],[f954,f609]) ).
fof(f609,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_56 ),
inference(avatar_component_clause,[],[f608]) ).
fof(f9139,plain,
( spl6_416
| ~ spl6_54
| ~ spl6_84 ),
inference(avatar_split_clause,[],[f960,f949,f600,f9137]) ).
fof(f9137,plain,
( spl6_416
<=> ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| X0 = X1
| sz00 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| iLess0(sdtasdt0(X2,X0),sdtasdt0(X2,X1))
| sdtasdt0(X2,X0) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_416])]) ).
fof(f960,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| X0 = X1
| sz00 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| iLess0(sdtasdt0(X2,X0),sdtasdt0(X2,X1))
| sdtasdt0(X2,X0) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X2,X0)) )
| ~ spl6_54
| ~ spl6_84 ),
inference(resolution,[],[f950,f601]) ).
fof(f8958,plain,
( spl6_415
| ~ spl6_228
| ~ spl6_414 ),
inference(avatar_split_clause,[],[f8954,f8951,f3370,f8956]) ).
fof(f8956,plain,
( spl6_415
<=> ! [X2,X0,X1] :
( xq = X2
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X2,X0) = sdtasdt0(X2,X1)
| ~ sdtlseqdt0(sdtasdt0(X2,X1),sdtasdt0(X2,X0))
| ~ aNaturalNumber0(sdtasdt0(X2,X0))
| ~ aNaturalNumber0(sdtasdt0(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_415])]) ).
fof(f8951,plain,
( spl6_414
<=> ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| X0 = X1
| sz00 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X2,X0) = sdtasdt0(X2,X1)
| ~ sdtlseqdt0(sdtasdt0(X2,X1),sdtasdt0(X2,X0))
| ~ aNaturalNumber0(sdtasdt0(X2,X0))
| ~ aNaturalNumber0(sdtasdt0(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_414])]) ).
fof(f8954,plain,
( ! [X2,X0,X1] :
( xq = X2
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X2,X0) = sdtasdt0(X2,X1)
| ~ sdtlseqdt0(sdtasdt0(X2,X1),sdtasdt0(X2,X0))
| ~ aNaturalNumber0(sdtasdt0(X2,X0))
| ~ aNaturalNumber0(sdtasdt0(X2,X1)) )
| ~ spl6_228
| ~ spl6_414 ),
inference(forward_demodulation,[],[f8952,f3372]) ).
fof(f8952,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(sdtasdt0(X2,X1),sdtasdt0(X2,X0))
| X0 = X1
| sz00 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X2,X0) = sdtasdt0(X2,X1)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtasdt0(X2,X0))
| ~ aNaturalNumber0(sdtasdt0(X2,X1)) )
| ~ spl6_414 ),
inference(avatar_component_clause,[],[f8951]) ).
fof(f8953,plain,
( spl6_414
| ~ spl6_56
| ~ spl6_84 ),
inference(avatar_split_clause,[],[f959,f949,f608,f8951]) ).
fof(f959,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| X0 = X1
| sz00 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X2,X0) = sdtasdt0(X2,X1)
| ~ sdtlseqdt0(sdtasdt0(X2,X1),sdtasdt0(X2,X0))
| ~ aNaturalNumber0(sdtasdt0(X2,X0))
| ~ aNaturalNumber0(sdtasdt0(X2,X1)) )
| ~ spl6_56
| ~ spl6_84 ),
inference(resolution,[],[f950,f609]) ).
fof(f8908,plain,
( spl6_413
| ~ spl6_228
| ~ spl6_412 ),
inference(avatar_split_clause,[],[f8904,f8901,f3370,f8906]) ).
fof(f8906,plain,
( spl6_413
<=> ! [X0,X3,X2,X1] :
( xq = X3
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(sdtpldt0(X1,X2),X3)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(X1,X2)),X3)
| ~ aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X3,X2)
| ~ doDivides0(X3,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_413])]) ).
fof(f8901,plain,
( spl6_412
<=> ! [X0,X3,X2,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(sdtpldt0(X1,X2),X3)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(X1,X2)),X3)
| sz00 = X3
| ~ aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X3,X2)
| ~ doDivides0(X3,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_412])]) ).
fof(f8904,plain,
( ! [X2,X3,X0,X1] :
( xq = X3
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(sdtpldt0(X1,X2),X3)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(X1,X2)),X3)
| ~ aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X3,X2)
| ~ doDivides0(X3,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| ~ spl6_228
| ~ spl6_412 ),
inference(forward_demodulation,[],[f8902,f3372]) ).
fof(f8902,plain,
( ! [X2,X3,X0,X1] :
( ~ aNaturalNumber0(sdtpldt0(X1,X2))
| sdtasdt0(X0,sdtsldt0(sdtpldt0(X1,X2),X3)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(X1,X2)),X3)
| sz00 = X3
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X3,X2)
| ~ doDivides0(X3,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| ~ spl6_412 ),
inference(avatar_component_clause,[],[f8901]) ).
fof(f8903,plain,
( spl6_412
| ~ spl6_71
| ~ spl6_86 ),
inference(avatar_split_clause,[],[f989,f975,f784,f8901]) ).
fof(f784,plain,
( spl6_71
<=> ! [X2,X0,X1] :
( doDivides0(X0,sdtpldt0(X1,X2))
| ~ doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_71])]) ).
fof(f975,plain,
( spl6_86
<=> ! [X2,X0,X1] :
( sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_86])]) ).
fof(f989,plain,
( ! [X2,X3,X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(sdtpldt0(X1,X2),X3)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(X1,X2)),X3)
| sz00 = X3
| ~ aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X3,X2)
| ~ doDivides0(X3,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| ~ spl6_71
| ~ spl6_86 ),
inference(duplicate_literal_removal,[],[f983]) ).
fof(f983,plain,
( ! [X2,X3,X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(sdtpldt0(X1,X2),X3)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(X1,X2)),X3)
| sz00 = X3
| ~ aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X3,X2)
| ~ doDivides0(X3,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) )
| ~ spl6_71
| ~ spl6_86 ),
inference(resolution,[],[f976,f785]) ).
fof(f785,plain,
( ! [X2,X0,X1] :
( doDivides0(X0,sdtpldt0(X1,X2))
| ~ doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_71 ),
inference(avatar_component_clause,[],[f784]) ).
fof(f976,plain,
( ! [X2,X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_86 ),
inference(avatar_component_clause,[],[f975]) ).
fof(f8527,plain,
( spl6_411
| ~ spl6_228
| ~ spl6_410 ),
inference(avatar_split_clause,[],[f8523,f8520,f3370,f8525]) ).
fof(f8525,plain,
( spl6_411
<=> ! [X0,X3,X2,X1] :
( xq = X2
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X3,sdtasdt0(X1,X2))
| ~ sdtlseqdt0(X3,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_411])]) ).
fof(f8520,plain,
( spl6_410
<=> ! [X0,X3,X2,X1] :
( ~ sdtlseqdt0(X0,X1)
| X0 = X1
| sz00 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X3,sdtasdt0(X1,X2))
| ~ sdtlseqdt0(X3,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_410])]) ).
fof(f8523,plain,
( ! [X2,X3,X0,X1] :
( xq = X2
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X3,sdtasdt0(X1,X2))
| ~ sdtlseqdt0(X3,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X3) )
| ~ spl6_228
| ~ spl6_410 ),
inference(forward_demodulation,[],[f8521,f3372]) ).
fof(f8521,plain,
( ! [X2,X3,X0,X1] :
( ~ sdtlseqdt0(X3,sdtasdt0(X0,X2))
| X0 = X1
| sz00 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X3,sdtasdt0(X1,X2))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X3) )
| ~ spl6_410 ),
inference(avatar_component_clause,[],[f8520]) ).
fof(f8522,plain,
( spl6_410
| ~ spl6_66
| ~ spl6_85 ),
inference(avatar_split_clause,[],[f965,f953,f736,f8520]) ).
fof(f736,plain,
( spl6_66
<=> ! [X2,X0,X1] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_66])]) ).
fof(f965,plain,
( ! [X2,X3,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| X0 = X1
| sz00 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X3,sdtasdt0(X1,X2))
| ~ sdtlseqdt0(X3,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X3) )
| ~ spl6_66
| ~ spl6_85 ),
inference(resolution,[],[f954,f737]) ).
fof(f737,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_66 ),
inference(avatar_component_clause,[],[f736]) ).
fof(f8399,plain,
( spl6_409
| ~ spl6_228
| ~ spl6_408 ),
inference(avatar_split_clause,[],[f8395,f8392,f3370,f8397]) ).
fof(f8397,plain,
( spl6_409
<=> ! [X0,X3,X2,X1] :
( xq = X2
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X3,sdtasdt0(X2,X1))
| ~ sdtlseqdt0(X3,sdtasdt0(X2,X0))
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X2,X0))
| ~ aNaturalNumber0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_409])]) ).
fof(f8392,plain,
( spl6_408
<=> ! [X0,X3,X2,X1] :
( ~ sdtlseqdt0(X0,X1)
| X0 = X1
| sz00 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X3,sdtasdt0(X2,X1))
| ~ sdtlseqdt0(X3,sdtasdt0(X2,X0))
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X2,X0))
| ~ aNaturalNumber0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_408])]) ).
fof(f8395,plain,
( ! [X2,X3,X0,X1] :
( xq = X2
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X3,sdtasdt0(X2,X1))
| ~ sdtlseqdt0(X3,sdtasdt0(X2,X0))
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X2,X0))
| ~ aNaturalNumber0(X3) )
| ~ spl6_228
| ~ spl6_408 ),
inference(forward_demodulation,[],[f8393,f3372]) ).
fof(f8393,plain,
( ! [X2,X3,X0,X1] :
( ~ sdtlseqdt0(X3,sdtasdt0(X2,X0))
| X0 = X1
| sz00 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X3,sdtasdt0(X2,X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X2,X0))
| ~ aNaturalNumber0(X3) )
| ~ spl6_408 ),
inference(avatar_component_clause,[],[f8392]) ).
fof(f8394,plain,
( spl6_408
| ~ spl6_66
| ~ spl6_84 ),
inference(avatar_split_clause,[],[f956,f949,f736,f8392]) ).
fof(f956,plain,
( ! [X2,X3,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| X0 = X1
| sz00 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X3,sdtasdt0(X2,X1))
| ~ sdtlseqdt0(X3,sdtasdt0(X2,X0))
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X2,X0))
| ~ aNaturalNumber0(X3) )
| ~ spl6_66
| ~ spl6_84 ),
inference(resolution,[],[f950,f737]) ).
fof(f8390,plain,
( spl6_407
| ~ spl6_61
| ~ spl6_79 ),
inference(avatar_split_clause,[],[f899,f865,f671,f8388]) ).
fof(f8388,plain,
( spl6_407
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X2,X0) = sdtpldt0(sdtpldt0(X1,X0),sK5(sdtpldt0(X1,X0),sdtpldt0(X2,X0)))
| ~ aNaturalNumber0(sdtpldt0(X2,X0))
| ~ aNaturalNumber0(sdtpldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_407])]) ).
fof(f865,plain,
( spl6_79
<=> ! [X2,X0,X1] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_79])]) ).
fof(f899,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X2,X0) = sdtpldt0(sdtpldt0(X1,X0),sK5(sdtpldt0(X1,X0),sdtpldt0(X2,X0)))
| ~ aNaturalNumber0(sdtpldt0(X2,X0))
| ~ aNaturalNumber0(sdtpldt0(X1,X0)) )
| ~ spl6_61
| ~ spl6_79 ),
inference(resolution,[],[f866,f672]) ).
fof(f866,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_79 ),
inference(avatar_component_clause,[],[f865]) ).
fof(f8386,plain,
( spl6_406
| ~ spl6_62
| ~ spl6_79 ),
inference(avatar_split_clause,[],[f898,f865,f675,f8384]) ).
fof(f8384,plain,
( spl6_406
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X2,X0) = sdtpldt0(sdtpldt0(X1,X0),sdtmndt0(sdtpldt0(X2,X0),sdtpldt0(X1,X0)))
| ~ aNaturalNumber0(sdtpldt0(X2,X0))
| ~ aNaturalNumber0(sdtpldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_406])]) ).
fof(f898,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X2,X0) = sdtpldt0(sdtpldt0(X1,X0),sdtmndt0(sdtpldt0(X2,X0),sdtpldt0(X1,X0)))
| ~ aNaturalNumber0(sdtpldt0(X2,X0))
| ~ aNaturalNumber0(sdtpldt0(X1,X0)) )
| ~ spl6_62
| ~ spl6_79 ),
inference(resolution,[],[f866,f676]) ).
fof(f8382,plain,
( spl6_405
| ~ spl6_61
| ~ spl6_78 ),
inference(avatar_split_clause,[],[f894,f861,f671,f8380]) ).
fof(f8380,plain,
( spl6_405
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X0,X2) = sdtpldt0(sdtpldt0(X0,X1),sK5(sdtpldt0(X0,X1),sdtpldt0(X0,X2)))
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_405])]) ).
fof(f861,plain,
( spl6_78
<=> ! [X2,X0,X1] :
( sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_78])]) ).
fof(f894,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X0,X2) = sdtpldt0(sdtpldt0(X0,X1),sK5(sdtpldt0(X0,X1),sdtpldt0(X0,X2)))
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) )
| ~ spl6_61
| ~ spl6_78 ),
inference(resolution,[],[f862,f672]) ).
fof(f862,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_78 ),
inference(avatar_component_clause,[],[f861]) ).
fof(f8378,plain,
( spl6_404
| ~ spl6_62
| ~ spl6_78 ),
inference(avatar_split_clause,[],[f893,f861,f675,f8376]) ).
fof(f8376,plain,
( spl6_404
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X0,X2) = sdtpldt0(sdtpldt0(X0,X1),sdtmndt0(sdtpldt0(X0,X2),sdtpldt0(X0,X1)))
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_404])]) ).
fof(f893,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X0,X2) = sdtpldt0(sdtpldt0(X0,X1),sdtmndt0(sdtpldt0(X0,X2),sdtpldt0(X0,X1)))
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) )
| ~ spl6_62
| ~ spl6_78 ),
inference(resolution,[],[f862,f676]) ).
fof(f8339,plain,
( spl6_403
| ~ spl6_228
| ~ spl6_402 ),
inference(avatar_split_clause,[],[f8335,f8332,f3370,f8337]) ).
fof(f8337,plain,
( spl6_403
<=> ! [X0,X1] :
( sdtpldt0(X0,X1) = xq
| doDivides0(sK3(sdtpldt0(X0,X1)),X1)
| ~ doDivides0(sK3(sdtpldt0(X0,X1)),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sdtpldt0(X0,X1)))
| sz10 = sdtpldt0(X0,X1)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_403])]) ).
fof(f8332,plain,
( spl6_402
<=> ! [X0,X1] :
( doDivides0(sK3(sdtpldt0(X0,X1)),X1)
| ~ doDivides0(sK3(sdtpldt0(X0,X1)),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sdtpldt0(X0,X1)))
| sz10 = sdtpldt0(X0,X1)
| sz00 = sdtpldt0(X0,X1)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_402])]) ).
fof(f8335,plain,
( ! [X0,X1] :
( sdtpldt0(X0,X1) = xq
| doDivides0(sK3(sdtpldt0(X0,X1)),X1)
| ~ doDivides0(sK3(sdtpldt0(X0,X1)),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sdtpldt0(X0,X1)))
| sz10 = sdtpldt0(X0,X1)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) )
| ~ spl6_228
| ~ spl6_402 ),
inference(forward_demodulation,[],[f8333,f3372]) ).
fof(f8333,plain,
( ! [X0,X1] :
( ~ doDivides0(sK3(sdtpldt0(X0,X1)),X0)
| doDivides0(sK3(sdtpldt0(X0,X1)),X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sdtpldt0(X0,X1)))
| sz10 = sdtpldt0(X0,X1)
| sz00 = sdtpldt0(X0,X1)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) )
| ~ spl6_402 ),
inference(avatar_component_clause,[],[f8332]) ).
fof(f8334,plain,
( spl6_402
| ~ spl6_48
| ~ spl6_72 ),
inference(avatar_split_clause,[],[f840,f788,f573,f8332]) ).
fof(f788,plain,
( spl6_72
<=> ! [X2,X0,X1] :
( doDivides0(X0,X2)
| ~ doDivides0(X0,sdtpldt0(X1,X2))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_72])]) ).
fof(f840,plain,
( ! [X0,X1] :
( doDivides0(sK3(sdtpldt0(X0,X1)),X1)
| ~ doDivides0(sK3(sdtpldt0(X0,X1)),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sdtpldt0(X0,X1)))
| sz10 = sdtpldt0(X0,X1)
| sz00 = sdtpldt0(X0,X1)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) )
| ~ spl6_48
| ~ spl6_72 ),
inference(resolution,[],[f789,f574]) ).
fof(f789,plain,
( ! [X2,X0,X1] :
( ~ doDivides0(X0,sdtpldt0(X1,X2))
| doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_72 ),
inference(avatar_component_clause,[],[f788]) ).
fof(f8303,plain,
( spl6_401
| ~ spl6_228
| ~ spl6_400 ),
inference(avatar_split_clause,[],[f8299,f8296,f3370,f8301]) ).
fof(f8301,plain,
( spl6_401
<=> ! [X0,X1] :
( sdtpldt0(X0,X1) = xq
| doDivides0(sK2(sdtpldt0(X0,X1)),X1)
| ~ doDivides0(sK2(sdtpldt0(X0,X1)),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sdtpldt0(X0,X1)))
| sP0(sdtpldt0(X0,X1))
| sz10 = sdtpldt0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_401])]) ).
fof(f8296,plain,
( spl6_400
<=> ! [X0,X1] :
( doDivides0(sK2(sdtpldt0(X0,X1)),X1)
| ~ doDivides0(sK2(sdtpldt0(X0,X1)),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sdtpldt0(X0,X1)))
| sP0(sdtpldt0(X0,X1))
| sz10 = sdtpldt0(X0,X1)
| sz00 = sdtpldt0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_400])]) ).
fof(f8299,plain,
( ! [X0,X1] :
( sdtpldt0(X0,X1) = xq
| doDivides0(sK2(sdtpldt0(X0,X1)),X1)
| ~ doDivides0(sK2(sdtpldt0(X0,X1)),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sdtpldt0(X0,X1)))
| sP0(sdtpldt0(X0,X1))
| sz10 = sdtpldt0(X0,X1) )
| ~ spl6_228
| ~ spl6_400 ),
inference(forward_demodulation,[],[f8297,f3372]) ).
fof(f8297,plain,
( ! [X0,X1] :
( ~ doDivides0(sK2(sdtpldt0(X0,X1)),X0)
| doDivides0(sK2(sdtpldt0(X0,X1)),X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sdtpldt0(X0,X1)))
| sP0(sdtpldt0(X0,X1))
| sz10 = sdtpldt0(X0,X1)
| sz00 = sdtpldt0(X0,X1) )
| ~ spl6_400 ),
inference(avatar_component_clause,[],[f8296]) ).
fof(f8298,plain,
( spl6_400
| ~ spl6_45
| ~ spl6_72 ),
inference(avatar_split_clause,[],[f839,f788,f559,f8296]) ).
fof(f839,plain,
( ! [X0,X1] :
( doDivides0(sK2(sdtpldt0(X0,X1)),X1)
| ~ doDivides0(sK2(sdtpldt0(X0,X1)),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sdtpldt0(X0,X1)))
| sP0(sdtpldt0(X0,X1))
| sz10 = sdtpldt0(X0,X1)
| sz00 = sdtpldt0(X0,X1) )
| ~ spl6_45
| ~ spl6_72 ),
inference(resolution,[],[f789,f560]) ).
fof(f7888,plain,
( spl6_399
| ~ spl6_54
| ~ spl6_79 ),
inference(avatar_split_clause,[],[f901,f865,f600,f7886]) ).
fof(f7886,plain,
( spl6_399
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| iLess0(sdtpldt0(X1,X0),sdtpldt0(X2,X0))
| sdtpldt0(X1,X0) = sdtpldt0(X2,X0)
| ~ aNaturalNumber0(sdtpldt0(X2,X0))
| ~ aNaturalNumber0(sdtpldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_399])]) ).
fof(f901,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| iLess0(sdtpldt0(X1,X0),sdtpldt0(X2,X0))
| sdtpldt0(X1,X0) = sdtpldt0(X2,X0)
| ~ aNaturalNumber0(sdtpldt0(X2,X0))
| ~ aNaturalNumber0(sdtpldt0(X1,X0)) )
| ~ spl6_54
| ~ spl6_79 ),
inference(resolution,[],[f866,f601]) ).
fof(f7884,plain,
( spl6_398
| ~ spl6_56
| ~ spl6_79 ),
inference(avatar_split_clause,[],[f900,f865,f608,f7882]) ).
fof(f7882,plain,
( spl6_398
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,X0) = sdtpldt0(X2,X0)
| ~ sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X1,X0))
| ~ aNaturalNumber0(sdtpldt0(X1,X0))
| ~ aNaturalNumber0(sdtpldt0(X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_398])]) ).
fof(f900,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,X0) = sdtpldt0(X2,X0)
| ~ sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X1,X0))
| ~ aNaturalNumber0(sdtpldt0(X1,X0))
| ~ aNaturalNumber0(sdtpldt0(X2,X0)) )
| ~ spl6_56
| ~ spl6_79 ),
inference(resolution,[],[f866,f609]) ).
fof(f7880,plain,
( spl6_397
| ~ spl6_54
| ~ spl6_78 ),
inference(avatar_split_clause,[],[f896,f861,f600,f7878]) ).
fof(f7878,plain,
( spl6_397
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| iLess0(sdtpldt0(X0,X1),sdtpldt0(X0,X2))
| sdtpldt0(X0,X1) = sdtpldt0(X0,X2)
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_397])]) ).
fof(f896,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| iLess0(sdtpldt0(X0,X1),sdtpldt0(X0,X2))
| sdtpldt0(X0,X1) = sdtpldt0(X0,X2)
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) )
| ~ spl6_54
| ~ spl6_78 ),
inference(resolution,[],[f862,f601]) ).
fof(f7876,plain,
( spl6_396
| ~ spl6_56
| ~ spl6_78 ),
inference(avatar_split_clause,[],[f895,f861,f608,f7874]) ).
fof(f7874,plain,
( spl6_396
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X0,X1) = sdtpldt0(X0,X2)
| ~ sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sdtpldt0(X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_396])]) ).
fof(f895,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X0,X1) = sdtpldt0(X0,X2)
| ~ sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sdtpldt0(X0,X2)) )
| ~ spl6_56
| ~ spl6_78 ),
inference(resolution,[],[f862,f609]) ).
fof(f7736,plain,
( spl6_395
| ~ spl6_228
| ~ spl6_394 ),
inference(avatar_split_clause,[],[f7732,f7728,f3370,f7734]) ).
fof(f7734,plain,
( spl6_395
<=> ! [X0,X1] :
( xq = X1
| xq = sK2(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(X1,sK2(X1))) = sdtsldt0(sdtasdt0(X0,X1),sK2(X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sK2(X1))
| sP0(X1)
| sz10 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_395])]) ).
fof(f7728,plain,
( spl6_394
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(X1,sK2(X1))) = sdtsldt0(sdtasdt0(X0,X1),sK2(X1))
| sz00 = sK2(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sK2(X1))
| sP0(X1)
| sz10 = X1
| sz00 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_394])]) ).
fof(f7732,plain,
( ! [X0,X1] :
( xq = X1
| xq = sK2(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(X1,sK2(X1))) = sdtsldt0(sdtasdt0(X0,X1),sK2(X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sK2(X1))
| sP0(X1)
| sz10 = X1 )
| ~ spl6_228
| ~ spl6_394 ),
inference(forward_demodulation,[],[f7731,f3372]) ).
fof(f7731,plain,
( ! [X0,X1] :
( xq = sK2(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(X1,sK2(X1))) = sdtsldt0(sdtasdt0(X0,X1),sK2(X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sK2(X1))
| sP0(X1)
| sz10 = X1
| sz00 = X1 )
| ~ spl6_228
| ~ spl6_394 ),
inference(forward_demodulation,[],[f7729,f3372]) ).
fof(f7729,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(sK2(X1))
| sdtasdt0(X0,sdtsldt0(X1,sK2(X1))) = sdtsldt0(sdtasdt0(X0,X1),sK2(X1))
| sz00 = sK2(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sP0(X1)
| sz10 = X1
| sz00 = X1 )
| ~ spl6_394 ),
inference(avatar_component_clause,[],[f7728]) ).
fof(f7730,plain,
( spl6_394
| ~ spl6_45
| ~ spl6_86 ),
inference(avatar_split_clause,[],[f986,f975,f559,f7728]) ).
fof(f986,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(X1,sK2(X1))) = sdtsldt0(sdtasdt0(X0,X1),sK2(X1))
| sz00 = sK2(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sK2(X1))
| sP0(X1)
| sz10 = X1
| sz00 = X1 )
| ~ spl6_45
| ~ spl6_86 ),
inference(resolution,[],[f976,f560]) ).
fof(f7726,plain,
( spl6_393
| ~ spl6_66
| ~ spl6_79 ),
inference(avatar_split_clause,[],[f897,f865,f736,f7724]) ).
fof(f7724,plain,
( spl6_393
<=> ! [X0,X3,X2,X1] :
( ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(X3,sdtpldt0(X2,X0))
| ~ sdtlseqdt0(X3,sdtpldt0(X1,X0))
| ~ aNaturalNumber0(sdtpldt0(X2,X0))
| ~ aNaturalNumber0(sdtpldt0(X1,X0))
| ~ aNaturalNumber0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_393])]) ).
fof(f897,plain,
( ! [X2,X3,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(X3,sdtpldt0(X2,X0))
| ~ sdtlseqdt0(X3,sdtpldt0(X1,X0))
| ~ aNaturalNumber0(sdtpldt0(X2,X0))
| ~ aNaturalNumber0(sdtpldt0(X1,X0))
| ~ aNaturalNumber0(X3) )
| ~ spl6_66
| ~ spl6_79 ),
inference(resolution,[],[f866,f737]) ).
fof(f7722,plain,
( spl6_392
| ~ spl6_66
| ~ spl6_78 ),
inference(avatar_split_clause,[],[f892,f861,f736,f7720]) ).
fof(f7720,plain,
( spl6_392
<=> ! [X0,X3,X2,X1] :
( ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(X3,sdtpldt0(X0,X2))
| ~ sdtlseqdt0(X3,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_392])]) ).
fof(f892,plain,
( ! [X2,X3,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(X3,sdtpldt0(X0,X2))
| ~ sdtlseqdt0(X3,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X3) )
| ~ spl6_66
| ~ spl6_78 ),
inference(resolution,[],[f862,f737]) ).
fof(f7689,plain,
( spl6_391
| ~ spl6_228
| ~ spl6_390 ),
inference(avatar_split_clause,[],[f7685,f7682,f3370,f7687]) ).
fof(f7687,plain,
( spl6_391
<=> ! [X0,X3,X2,X1] :
( xq = X2
| sdtasdt0(sdtpldt0(X0,sdtsldt0(X1,X2)),X3) = sdtpldt0(sdtasdt0(X0,X3),sdtasdt0(sdtsldt0(X1,X2),X3))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_391])]) ).
fof(f7682,plain,
( spl6_390
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(sdtpldt0(X0,sdtsldt0(X1,X2)),X3) = sdtpldt0(sdtasdt0(X0,X3),sdtasdt0(sdtsldt0(X1,X2),X3))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X2,X1)
| sz00 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_390])]) ).
fof(f7685,plain,
( ! [X2,X3,X0,X1] :
( xq = X2
| sdtasdt0(sdtpldt0(X0,sdtsldt0(X1,X2)),X3) = sdtpldt0(sdtasdt0(X0,X3),sdtasdt0(sdtsldt0(X1,X2),X3))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) )
| ~ spl6_228
| ~ spl6_390 ),
inference(forward_demodulation,[],[f7683,f3372]) ).
fof(f7683,plain,
( ! [X2,X3,X0,X1] :
( ~ doDivides0(X2,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X3)
| sdtasdt0(sdtpldt0(X0,sdtsldt0(X1,X2)),X3) = sdtpldt0(sdtasdt0(X0,X3),sdtasdt0(sdtsldt0(X1,X2),X3))
| sz00 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) )
| ~ spl6_390 ),
inference(avatar_component_clause,[],[f7682]) ).
fof(f7684,plain,
( spl6_390
| ~ spl6_63
| ~ spl6_81 ),
inference(avatar_split_clause,[],[f920,f873,f679,f7682]) ).
fof(f679,plain,
( spl6_63
<=> ! [X0,X1] :
( aNaturalNumber0(sdtsldt0(X1,X0))
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_63])]) ).
fof(f873,plain,
( spl6_81
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_81])]) ).
fof(f920,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(sdtpldt0(X0,sdtsldt0(X1,X2)),X3) = sdtpldt0(sdtasdt0(X0,X3),sdtasdt0(sdtsldt0(X1,X2),X3))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X2,X1)
| sz00 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) )
| ~ spl6_63
| ~ spl6_81 ),
inference(resolution,[],[f874,f680]) ).
fof(f680,plain,
( ! [X0,X1] :
( aNaturalNumber0(sdtsldt0(X1,X0))
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_63 ),
inference(avatar_component_clause,[],[f679]) ).
fof(f874,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_81 ),
inference(avatar_component_clause,[],[f873]) ).
fof(f7651,plain,
( spl6_389
| ~ spl6_228
| ~ spl6_388 ),
inference(avatar_split_clause,[],[f7647,f7644,f3370,f7649]) ).
fof(f7649,plain,
( spl6_389
<=> ! [X0,X3,X2,X1] :
( xq = X3
| sdtasdt0(X0,sdtpldt0(X1,sdtsldt0(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtsldt0(X2,X3)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X3,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_389])]) ).
fof(f7644,plain,
( spl6_388
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtsldt0(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtsldt0(X2,X3)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X3,X2)
| sz00 = X3
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_388])]) ).
fof(f7647,plain,
( ! [X2,X3,X0,X1] :
( xq = X3
| sdtasdt0(X0,sdtpldt0(X1,sdtsldt0(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtsldt0(X2,X3)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X3,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) )
| ~ spl6_228
| ~ spl6_388 ),
inference(forward_demodulation,[],[f7645,f3372]) ).
fof(f7645,plain,
( ! [X2,X3,X0,X1] :
( ~ doDivides0(X3,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtpldt0(X1,sdtsldt0(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtsldt0(X2,X3)))
| sz00 = X3
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) )
| ~ spl6_388 ),
inference(avatar_component_clause,[],[f7644]) ).
fof(f7646,plain,
( spl6_388
| ~ spl6_63
| ~ spl6_80 ),
inference(avatar_split_clause,[],[f907,f869,f679,f7644]) ).
fof(f869,plain,
( spl6_80
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_80])]) ).
fof(f907,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtsldt0(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtsldt0(X2,X3)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X3,X2)
| sz00 = X3
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) )
| ~ spl6_63
| ~ spl6_80 ),
inference(resolution,[],[f870,f680]) ).
fof(f870,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_80 ),
inference(avatar_component_clause,[],[f869]) ).
fof(f7638,plain,
( spl6_387
| ~ spl6_228
| ~ spl6_386 ),
inference(avatar_split_clause,[],[f7634,f7630,f3370,f7636]) ).
fof(f7636,plain,
( spl6_387
<=> ! [X0,X1] :
( xq = X1
| xq = sK3(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(X1,sK3(X1))) = sdtsldt0(sdtasdt0(X0,X1),sK3(X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sK3(X1))
| sz10 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_387])]) ).
fof(f7630,plain,
( spl6_386
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(X1,sK3(X1))) = sdtsldt0(sdtasdt0(X0,X1),sK3(X1))
| sz00 = sK3(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sK3(X1))
| sz10 = X1
| sz00 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_386])]) ).
fof(f7634,plain,
( ! [X0,X1] :
( xq = X1
| xq = sK3(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(X1,sK3(X1))) = sdtsldt0(sdtasdt0(X0,X1),sK3(X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sK3(X1))
| sz10 = X1 )
| ~ spl6_228
| ~ spl6_386 ),
inference(forward_demodulation,[],[f7633,f3372]) ).
fof(f7633,plain,
( ! [X0,X1] :
( xq = sK3(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(X1,sK3(X1))) = sdtsldt0(sdtasdt0(X0,X1),sK3(X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sK3(X1))
| sz10 = X1
| sz00 = X1 )
| ~ spl6_228
| ~ spl6_386 ),
inference(forward_demodulation,[],[f7631,f3372]) ).
fof(f7631,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(sK3(X1))
| sdtasdt0(X0,sdtsldt0(X1,sK3(X1))) = sdtsldt0(sdtasdt0(X0,X1),sK3(X1))
| sz00 = sK3(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz10 = X1
| sz00 = X1 )
| ~ spl6_386 ),
inference(avatar_component_clause,[],[f7630]) ).
fof(f7632,plain,
( spl6_386
| ~ spl6_48
| ~ spl6_86 ),
inference(avatar_split_clause,[],[f988,f975,f573,f7630]) ).
fof(f988,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(X1,sK3(X1))) = sdtsldt0(sdtasdt0(X0,X1),sK3(X1))
| sz00 = sK3(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sK3(X1))
| sz10 = X1
| sz00 = X1 )
| ~ spl6_48
| ~ spl6_86 ),
inference(duplicate_literal_removal,[],[f987]) ).
fof(f987,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(X1,sK3(X1))) = sdtsldt0(sdtasdt0(X0,X1),sK3(X1))
| sz00 = sK3(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sK3(X1))
| sz10 = X1
| sz00 = X1
| ~ aNaturalNumber0(X1) )
| ~ spl6_48
| ~ spl6_86 ),
inference(resolution,[],[f976,f574]) ).
fof(f7587,plain,
( spl6_385
| ~ spl6_228
| ~ spl6_384 ),
inference(avatar_split_clause,[],[f7583,f7580,f3370,f7585]) ).
fof(f7585,plain,
( spl6_385
<=> ! [X2,X0,X1] :
( xq = X0
| sdtpldt0(X1,X2) = sdtasdt0(X0,sdtsldt0(sdtpldt0(X1,X2),X0))
| ~ aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_385])]) ).
fof(f7580,plain,
( spl6_384
<=> ! [X2,X0,X1] :
( sdtpldt0(X1,X2) = sdtasdt0(X0,sdtsldt0(sdtpldt0(X1,X2),X0))
| sz00 = X0
| ~ aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_384])]) ).
fof(f7583,plain,
( ! [X2,X0,X1] :
( xq = X0
| sdtpldt0(X1,X2) = sdtasdt0(X0,sdtsldt0(sdtpldt0(X1,X2),X0))
| ~ aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| ~ spl6_228
| ~ spl6_384 ),
inference(forward_demodulation,[],[f7581,f3372]) ).
fof(f7581,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(sdtpldt0(X1,X2))
| sz00 = X0
| sdtpldt0(X1,X2) = sdtasdt0(X0,sdtsldt0(sdtpldt0(X1,X2),X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| ~ spl6_384 ),
inference(avatar_component_clause,[],[f7580]) ).
fof(f7582,plain,
( spl6_384
| ~ spl6_71
| ~ spl6_73 ),
inference(avatar_split_clause,[],[f849,f792,f784,f7580]) ).
fof(f792,plain,
( spl6_73
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtsldt0(X1,X0)) = X1
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_73])]) ).
fof(f849,plain,
( ! [X2,X0,X1] :
( sdtpldt0(X1,X2) = sdtasdt0(X0,sdtsldt0(sdtpldt0(X1,X2),X0))
| sz00 = X0
| ~ aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| ~ spl6_71
| ~ spl6_73 ),
inference(duplicate_literal_removal,[],[f843]) ).
fof(f843,plain,
( ! [X2,X0,X1] :
( sdtpldt0(X1,X2) = sdtasdt0(X0,sdtsldt0(sdtpldt0(X1,X2),X0))
| sz00 = X0
| ~ aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_71
| ~ spl6_73 ),
inference(resolution,[],[f793,f785]) ).
fof(f793,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| sdtasdt0(X0,sdtsldt0(X1,X0)) = X1
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_73 ),
inference(avatar_component_clause,[],[f792]) ).
fof(f7549,plain,
( spl6_383
| ~ spl6_228
| ~ spl6_382 ),
inference(avatar_split_clause,[],[f7545,f7542,f3370,f7547]) ).
fof(f7547,plain,
( spl6_383
<=> ! [X0,X3,X2,X1] :
( xq = X3
| sdtasdt0(sdtasdt0(X0,X1),sdtsldt0(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sdtsldt0(X2,X3)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X3,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_383])]) ).
fof(f7542,plain,
( spl6_382
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sdtsldt0(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sdtsldt0(X2,X3)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X3,X2)
| sz00 = X3
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_382])]) ).
fof(f7545,plain,
( ! [X2,X3,X0,X1] :
( xq = X3
| sdtasdt0(sdtasdt0(X0,X1),sdtsldt0(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sdtsldt0(X2,X3)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X3,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) )
| ~ spl6_228
| ~ spl6_382 ),
inference(forward_demodulation,[],[f7543,f3372]) ).
fof(f7543,plain,
( ! [X2,X3,X0,X1] :
( ~ doDivides0(X3,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,X1),sdtsldt0(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sdtsldt0(X2,X3)))
| sz00 = X3
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) )
| ~ spl6_382 ),
inference(avatar_component_clause,[],[f7542]) ).
fof(f7544,plain,
( spl6_382
| ~ spl6_63
| ~ spl6_70 ),
inference(avatar_split_clause,[],[f813,f780,f679,f7542]) ).
fof(f780,plain,
( spl6_70
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_70])]) ).
fof(f813,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sdtsldt0(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sdtsldt0(X2,X3)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X3,X2)
| sz00 = X3
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) )
| ~ spl6_63
| ~ spl6_70 ),
inference(resolution,[],[f781,f680]) ).
fof(f781,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_70 ),
inference(avatar_component_clause,[],[f780]) ).
fof(f7540,plain,
( spl6_381
| ~ spl6_228
| ~ spl6_236 ),
inference(avatar_split_clause,[],[f5796,f3708,f3370,f7537]) ).
fof(f7537,plain,
( spl6_381
<=> doDivides0(xq,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_381])]) ).
fof(f3708,plain,
( spl6_236
<=> doDivides0(sz00,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_236])]) ).
fof(f5796,plain,
( doDivides0(xq,xq)
| ~ spl6_228
| ~ spl6_236 ),
inference(superposition,[],[f3710,f3372]) ).
fof(f3710,plain,
( doDivides0(sz00,sz00)
| ~ spl6_236 ),
inference(avatar_component_clause,[],[f3708]) ).
fof(f7506,plain,
( spl6_380
| ~ spl6_228
| ~ spl6_379 ),
inference(avatar_split_clause,[],[f7502,f7499,f3370,f7504]) ).
fof(f7504,plain,
( spl6_380
<=> ! [X0,X3,X2,X1] :
( xq = X3
| sdtpldt0(sdtpldt0(X0,X1),sdtsldt0(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sdtsldt0(X2,X3)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X3,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_380])]) ).
fof(f7499,plain,
( spl6_379
<=> ! [X0,X3,X2,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sdtsldt0(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sdtsldt0(X2,X3)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X3,X2)
| sz00 = X3
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_379])]) ).
fof(f7502,plain,
( ! [X2,X3,X0,X1] :
( xq = X3
| sdtpldt0(sdtpldt0(X0,X1),sdtsldt0(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sdtsldt0(X2,X3)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X3,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) )
| ~ spl6_228
| ~ spl6_379 ),
inference(forward_demodulation,[],[f7500,f3372]) ).
fof(f7500,plain,
( ! [X2,X3,X0,X1] :
( ~ doDivides0(X3,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(sdtpldt0(X0,X1),sdtsldt0(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sdtsldt0(X2,X3)))
| sz00 = X3
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) )
| ~ spl6_379 ),
inference(avatar_component_clause,[],[f7499]) ).
fof(f7501,plain,
( spl6_379
| ~ spl6_63
| ~ spl6_69 ),
inference(avatar_split_clause,[],[f800,f776,f679,f7499]) ).
fof(f776,plain,
( spl6_69
<=> ! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_69])]) ).
fof(f800,plain,
( ! [X2,X3,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sdtsldt0(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sdtsldt0(X2,X3)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X3,X2)
| sz00 = X3
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) )
| ~ spl6_63
| ~ spl6_69 ),
inference(resolution,[],[f777,f680]) ).
fof(f777,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_69 ),
inference(avatar_component_clause,[],[f776]) ).
fof(f7114,plain,
( spl6_378
| ~ spl6_228
| ~ spl6_377 ),
inference(avatar_split_clause,[],[f7110,f7107,f3370,f7112]) ).
fof(f7112,plain,
( spl6_378
<=> ! [X2,X0,X1] :
( xq = X1
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(sdtasdt0(X1,X2),X1)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(X1,X2)),X1)
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_378])]) ).
fof(f7107,plain,
( spl6_377
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(sdtasdt0(X1,X2),X1)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(X1,X2)),X1)
| sz00 = X1
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_377])]) ).
fof(f7110,plain,
( ! [X2,X0,X1] :
( xq = X1
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(sdtasdt0(X1,X2),X1)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(X1,X2)),X1)
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) )
| ~ spl6_228
| ~ spl6_377 ),
inference(forward_demodulation,[],[f7108,f3372]) ).
fof(f7108,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(sdtasdt0(X1,X2))
| sdtasdt0(X0,sdtsldt0(sdtasdt0(X1,X2),X1)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(X1,X2)),X1)
| sz00 = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) )
| ~ spl6_377 ),
inference(avatar_component_clause,[],[f7107]) ).
fof(f7109,plain,
( spl6_377
| ~ spl6_57
| ~ spl6_86 ),
inference(avatar_split_clause,[],[f990,f975,f612,f7107]) ).
fof(f990,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(sdtasdt0(X1,X2),X1)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(X1,X2)),X1)
| sz00 = X1
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) )
| ~ spl6_57
| ~ spl6_86 ),
inference(duplicate_literal_removal,[],[f982]) ).
fof(f982,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(sdtasdt0(X1,X2),X1)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(X1,X2)),X1)
| sz00 = X1
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1) )
| ~ spl6_57
| ~ spl6_86 ),
inference(resolution,[],[f976,f613]) ).
fof(f7105,plain,
( spl6_376
| ~ spl6_43
| ~ spl6_81 ),
inference(avatar_split_clause,[],[f927,f873,f490,f7103]) ).
fof(f7103,plain,
( spl6_376
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(sdtpldt0(X0,sK5(X1,X2)),X3) = sdtpldt0(sdtasdt0(X0,X3),sdtasdt0(sK5(X1,X2),X3))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_376])]) ).
fof(f490,plain,
( spl6_43
<=> ! [X0,X1] :
( aNaturalNumber0(sK5(X0,X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_43])]) ).
fof(f927,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(sdtpldt0(X0,sK5(X1,X2)),X3) = sdtpldt0(sdtasdt0(X0,X3),sdtasdt0(sK5(X1,X2),X3))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| ~ spl6_43
| ~ spl6_81 ),
inference(resolution,[],[f874,f491]) ).
fof(f491,plain,
( ! [X0,X1] :
( aNaturalNumber0(sK5(X0,X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_43 ),
inference(avatar_component_clause,[],[f490]) ).
fof(f7101,plain,
( spl6_375
| ~ spl6_42
| ~ spl6_81 ),
inference(avatar_split_clause,[],[f926,f873,f486,f7099]) ).
fof(f7099,plain,
( spl6_375
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(sdtpldt0(X0,sK4(X1,X2)),X3) = sdtpldt0(sdtasdt0(X0,X3),sdtasdt0(sK4(X1,X2),X3))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_375])]) ).
fof(f486,plain,
( spl6_42
<=> ! [X0,X1] :
( aNaturalNumber0(sK4(X0,X1))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_42])]) ).
fof(f926,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(sdtpldt0(X0,sK4(X1,X2)),X3) = sdtpldt0(sdtasdt0(X0,X3),sdtasdt0(sK4(X1,X2),X3))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| ~ spl6_42
| ~ spl6_81 ),
inference(resolution,[],[f874,f487]) ).
fof(f487,plain,
( ! [X0,X1] :
( aNaturalNumber0(sK4(X0,X1))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_42 ),
inference(avatar_component_clause,[],[f486]) ).
fof(f7097,plain,
( spl6_374
| ~ spl6_44
| ~ spl6_81 ),
inference(avatar_split_clause,[],[f919,f873,f494,f7095]) ).
fof(f7095,plain,
( spl6_374
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(sdtpldt0(X0,sdtmndt0(X1,X2)),X3) = sdtpldt0(sdtasdt0(X0,X3),sdtasdt0(sdtmndt0(X1,X2),X3))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_374])]) ).
fof(f494,plain,
( spl6_44
<=> ! [X0,X1] :
( aNaturalNumber0(sdtmndt0(X1,X0))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_44])]) ).
fof(f919,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(sdtpldt0(X0,sdtmndt0(X1,X2)),X3) = sdtpldt0(sdtasdt0(X0,X3),sdtasdt0(sdtmndt0(X1,X2),X3))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) )
| ~ spl6_44
| ~ spl6_81 ),
inference(resolution,[],[f874,f495]) ).
fof(f495,plain,
( ! [X0,X1] :
( aNaturalNumber0(sdtmndt0(X1,X0))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_44 ),
inference(avatar_component_clause,[],[f494]) ).
fof(f7093,plain,
( spl6_373
| ~ spl6_43
| ~ spl6_80 ),
inference(avatar_split_clause,[],[f914,f869,f490,f7091]) ).
fof(f7091,plain,
( spl6_373
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sK5(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK5(X2,X3)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X3)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_373])]) ).
fof(f914,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sK5(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK5(X2,X3)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X3)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) )
| ~ spl6_43
| ~ spl6_80 ),
inference(resolution,[],[f870,f491]) ).
fof(f7089,plain,
( spl6_372
| ~ spl6_42
| ~ spl6_80 ),
inference(avatar_split_clause,[],[f913,f869,f486,f7087]) ).
fof(f7087,plain,
( spl6_372
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sK4(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(X2,X3)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,X3)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_372])]) ).
fof(f913,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sK4(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(X2,X3)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,X3)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) )
| ~ spl6_42
| ~ spl6_80 ),
inference(resolution,[],[f870,f487]) ).
fof(f7085,plain,
( spl6_371
| ~ spl6_44
| ~ spl6_80 ),
inference(avatar_split_clause,[],[f906,f869,f494,f7083]) ).
fof(f7083,plain,
( spl6_371
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtmndt0(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtmndt0(X2,X3)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X3,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_371])]) ).
fof(f906,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtmndt0(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtmndt0(X2,X3)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X3,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) )
| ~ spl6_44
| ~ spl6_80 ),
inference(resolution,[],[f870,f495]) ).
fof(f7081,plain,
( ~ spl6_134
| ~ spl6_4
| spl6_260
| spl6_370
| ~ spl6_34
| ~ spl6_85 ),
inference(avatar_split_clause,[],[f973,f953,f447,f7079,f4582,f260,f1816]) ).
fof(f973,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xm,xm)),sdtasdt0(xn,xn))
| ~ sdtlseqdt0(X0,xp)
| xp = X0
| sz00 = sdtasdt0(xm,xm)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xm)) )
| ~ spl6_34
| ~ spl6_85 ),
inference(superposition,[],[f954,f449]) ).
fof(f7077,plain,
( ~ spl6_133
| ~ spl6_4
| spl6_210
| spl6_369
| ~ spl6_33
| ~ spl6_85 ),
inference(avatar_split_clause,[],[f972,f953,f442,f7075,f3174,f260,f1812]) ).
fof(f3174,plain,
( spl6_210
<=> sz00 = sdtasdt0(xq,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_210])]) ).
fof(f972,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xq,xq)),sdtasdt0(xm,xm))
| ~ sdtlseqdt0(X0,xp)
| xp = X0
| sz00 = sdtasdt0(xq,xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xq,xq)) )
| ~ spl6_33
| ~ spl6_85 ),
inference(superposition,[],[f954,f444]) ).
fof(f7024,plain,
( ~ spl6_134
| ~ spl6_4
| spl6_260
| spl6_368
| ~ spl6_34
| ~ spl6_85 ),
inference(avatar_split_clause,[],[f971,f953,f447,f7022,f4582,f260,f1816]) ).
fof(f971,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(X0,sdtasdt0(xm,xm)))
| ~ sdtlseqdt0(xp,X0)
| xp = X0
| sz00 = sdtasdt0(xm,xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xm,xm)) )
| ~ spl6_34
| ~ spl6_85 ),
inference(superposition,[],[f954,f449]) ).
fof(f7020,plain,
( ~ spl6_133
| ~ spl6_4
| spl6_210
| spl6_367
| ~ spl6_33
| ~ spl6_85 ),
inference(avatar_split_clause,[],[f970,f953,f442,f7018,f3174,f260,f1812]) ).
fof(f970,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(X0,sdtasdt0(xq,xq)))
| ~ sdtlseqdt0(xp,X0)
| xp = X0
| sz00 = sdtasdt0(xq,xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xq,xq)) )
| ~ spl6_33
| ~ spl6_85 ),
inference(superposition,[],[f954,f444]) ).
fof(f6970,plain,
( spl6_366
| ~ spl6_34
| ~ spl6_154
| ~ spl6_345
| ~ spl6_365 ),
inference(avatar_split_clause,[],[f6966,f6961,f6493,f2131,f447,f6968]) ).
fof(f6968,plain,
( spl6_366
<=> ! [X0] :
( ~ sdtlseqdt0(X0,xq)
| xq = X0
| sdtlseqdt0(sdtasdt0(xp,X0),xn)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_366])]) ).
fof(f6966,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xq)
| xq = X0
| sdtlseqdt0(sdtasdt0(xp,X0),xn)
| ~ aNaturalNumber0(X0) )
| ~ spl6_34
| ~ spl6_154
| ~ spl6_345
| ~ spl6_365 ),
inference(forward_demodulation,[],[f6965,f6495]) ).
fof(f6965,plain,
( ! [X0] :
( xq = X0
| sdtlseqdt0(sdtasdt0(xp,X0),xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xm)) )
| ~ spl6_34
| ~ spl6_154
| ~ spl6_345
| ~ spl6_365 ),
inference(forward_demodulation,[],[f6964,f6495]) ).
fof(f6964,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(xp,X0),xn)
| ~ aNaturalNumber0(X0)
| sdtasdt0(xm,xm) = X0
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xm)) )
| ~ spl6_34
| ~ spl6_154
| ~ spl6_345
| ~ spl6_365 ),
inference(forward_demodulation,[],[f6962,f6547]) ).
fof(f6963,plain,
( ~ spl6_4
| ~ spl6_134
| spl6_11
| spl6_365
| ~ spl6_34
| ~ spl6_84 ),
inference(avatar_split_clause,[],[f964,f949,f447,f6961,f295,f1816,f260]) ).
fof(f964,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(xp,X0),sdtasdt0(xn,xn))
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xm))
| sdtasdt0(xm,xm) = X0
| sz00 = xp
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xp) )
| ~ spl6_34
| ~ spl6_84 ),
inference(superposition,[],[f950,f449]) ).
fof(f6913,plain,
( spl6_364
| ~ spl6_110
| ~ spl6_228
| ~ spl6_345
| ~ spl6_363 ),
inference(avatar_split_clause,[],[f6909,f6904,f6493,f3370,f1370,f6911]) ).
fof(f6911,plain,
( spl6_364
<=> ! [X0] :
( ~ sdtlseqdt0(X0,xq)
| xq = X0
| sdtlseqdt0(sdtasdt0(xp,X0),xq)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_364])]) ).
fof(f1370,plain,
( spl6_110
<=> sz00 = sdtasdt0(sz00,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_110])]) ).
fof(f6909,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xq)
| xq = X0
| sdtlseqdt0(sdtasdt0(xp,X0),xq)
| ~ aNaturalNumber0(X0) )
| ~ spl6_110
| ~ spl6_228
| ~ spl6_345
| ~ spl6_363 ),
inference(forward_demodulation,[],[f6908,f5789]) ).
fof(f5789,plain,
( xq = sdtasdt0(xq,xq)
| ~ spl6_110
| ~ spl6_228 ),
inference(superposition,[],[f1372,f3372]) ).
fof(f1372,plain,
( sz00 = sdtasdt0(sz00,sz00)
| ~ spl6_110 ),
inference(avatar_component_clause,[],[f1370]) ).
fof(f6908,plain,
( ! [X0] :
( xq = X0
| sdtlseqdt0(sdtasdt0(xp,X0),xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xq,xq)) )
| ~ spl6_110
| ~ spl6_228
| ~ spl6_345
| ~ spl6_363 ),
inference(forward_demodulation,[],[f6907,f5789]) ).
fof(f6906,plain,
( ~ spl6_4
| ~ spl6_133
| spl6_11
| spl6_363
| ~ spl6_33
| ~ spl6_84 ),
inference(avatar_split_clause,[],[f963,f949,f442,f6904,f295,f1812,f260]) ).
fof(f963,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(xp,X0),sdtasdt0(xm,xm))
| ~ sdtlseqdt0(X0,sdtasdt0(xq,xq))
| sdtasdt0(xq,xq) = X0
| sz00 = xp
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xp) )
| ~ spl6_33
| ~ spl6_84 ),
inference(superposition,[],[f950,f444]) ).
fof(f6856,plain,
( spl6_362
| ~ spl6_34
| ~ spl6_154
| ~ spl6_345
| ~ spl6_361 ),
inference(avatar_split_clause,[],[f6811,f6806,f6493,f2131,f447,f6854]) ).
fof(f6854,plain,
( spl6_362
<=> ! [X0] :
( ~ sdtlseqdt0(xq,X0)
| xq = X0
| sdtlseqdt0(xn,sdtasdt0(xp,X0))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_362])]) ).
fof(f6811,plain,
( ! [X0] :
( ~ sdtlseqdt0(xq,X0)
| xq = X0
| sdtlseqdt0(xn,sdtasdt0(xp,X0))
| ~ aNaturalNumber0(X0) )
| ~ spl6_34
| ~ spl6_154
| ~ spl6_345
| ~ spl6_361 ),
inference(forward_demodulation,[],[f6810,f6495]) ).
fof(f6810,plain,
( ! [X0] :
( xq = X0
| sdtlseqdt0(xn,sdtasdt0(xp,X0))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xm,xm),X0) )
| ~ spl6_34
| ~ spl6_154
| ~ spl6_345
| ~ spl6_361 ),
inference(forward_demodulation,[],[f6809,f6495]) ).
fof(f6809,plain,
( ! [X0] :
( sdtlseqdt0(xn,sdtasdt0(xp,X0))
| ~ aNaturalNumber0(X0)
| sdtasdt0(xm,xm) = X0
| ~ sdtlseqdt0(sdtasdt0(xm,xm),X0) )
| ~ spl6_34
| ~ spl6_154
| ~ spl6_345
| ~ spl6_361 ),
inference(forward_demodulation,[],[f6807,f6547]) ).
fof(f6812,plain,
( ~ spl6_228
| spl6_260
| ~ spl6_345 ),
inference(avatar_split_clause,[],[f6502,f6493,f4582,f3370]) ).
fof(f6808,plain,
( ~ spl6_4
| ~ spl6_134
| spl6_11
| spl6_361
| ~ spl6_34
| ~ spl6_84 ),
inference(avatar_split_clause,[],[f962,f949,f447,f6806,f295,f1816,f260]) ).
fof(f962,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xp,X0))
| ~ sdtlseqdt0(sdtasdt0(xm,xm),X0)
| sdtasdt0(xm,xm) = X0
| sz00 = xp
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ~ aNaturalNumber0(xp) )
| ~ spl6_34
| ~ spl6_84 ),
inference(superposition,[],[f950,f449]) ).
fof(f6758,plain,
( spl6_360
| ~ spl6_110
| ~ spl6_228
| ~ spl6_345
| ~ spl6_359 ),
inference(avatar_split_clause,[],[f6754,f6749,f6493,f3370,f1370,f6756]) ).
fof(f6756,plain,
( spl6_360
<=> ! [X0] :
( ~ sdtlseqdt0(xq,X0)
| xq = X0
| sdtlseqdt0(xq,sdtasdt0(xp,X0))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_360])]) ).
fof(f6754,plain,
( ! [X0] :
( ~ sdtlseqdt0(xq,X0)
| xq = X0
| sdtlseqdt0(xq,sdtasdt0(xp,X0))
| ~ aNaturalNumber0(X0) )
| ~ spl6_110
| ~ spl6_228
| ~ spl6_345
| ~ spl6_359 ),
inference(forward_demodulation,[],[f6753,f5789]) ).
fof(f6753,plain,
( ! [X0] :
( xq = X0
| sdtlseqdt0(xq,sdtasdt0(xp,X0))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xq,xq),X0) )
| ~ spl6_110
| ~ spl6_228
| ~ spl6_345
| ~ spl6_359 ),
inference(forward_demodulation,[],[f6752,f5789]) ).
fof(f6751,plain,
( ~ spl6_4
| ~ spl6_133
| spl6_11
| spl6_359
| ~ spl6_33
| ~ spl6_84 ),
inference(avatar_split_clause,[],[f961,f949,f442,f6749,f295,f1812,f260]) ).
fof(f961,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xp,X0))
| ~ sdtlseqdt0(sdtasdt0(xq,xq),X0)
| sdtasdt0(xq,xq) = X0
| sz00 = xp
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ aNaturalNumber0(xp) )
| ~ spl6_33
| ~ spl6_84 ),
inference(superposition,[],[f950,f444]) ).
fof(f6701,plain,
( spl6_358
| ~ spl6_228
| ~ spl6_357 ),
inference(avatar_split_clause,[],[f6697,f6694,f3370,f6699]) ).
fof(f6699,plain,
( spl6_358
<=> ! [X2,X0,X1] :
( xq = X1
| sdtasdt0(sdtpldt0(X0,sK3(X1)),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(sK3(X1),X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sz10 = X1
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_358])]) ).
fof(f6694,plain,
( spl6_357
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,sK3(X1)),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(sK3(X1),X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sz10 = X1
| sz00 = X1
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_357])]) ).
fof(f6697,plain,
( ! [X2,X0,X1] :
( xq = X1
| sdtasdt0(sdtpldt0(X0,sK3(X1)),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(sK3(X1),X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sz10 = X1
| ~ aNaturalNumber0(X1) )
| ~ spl6_228
| ~ spl6_357 ),
inference(forward_demodulation,[],[f6695,f3372]) ).
fof(f6695,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtpldt0(X0,sK3(X1)),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(sK3(X1),X2))
| sz10 = X1
| sz00 = X1
| ~ aNaturalNumber0(X1) )
| ~ spl6_357 ),
inference(avatar_component_clause,[],[f6694]) ).
fof(f6696,plain,
( spl6_357
| ~ spl6_38
| ~ spl6_81 ),
inference(avatar_split_clause,[],[f925,f873,f470,f6694]) ).
fof(f470,plain,
( spl6_38
<=> ! [X0] :
( aNaturalNumber0(sK3(X0))
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_38])]) ).
fof(f925,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,sK3(X1)),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(sK3(X1),X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sz10 = X1
| sz00 = X1
| ~ aNaturalNumber0(X1) )
| ~ spl6_38
| ~ spl6_81 ),
inference(resolution,[],[f874,f471]) ).
fof(f471,plain,
( ! [X0] :
( aNaturalNumber0(sK3(X0))
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl6_38 ),
inference(avatar_component_clause,[],[f470]) ).
fof(f6668,plain,
( spl6_356
| ~ spl6_228
| ~ spl6_354 ),
inference(avatar_split_clause,[],[f6659,f6656,f3370,f6666]) ).
fof(f6666,plain,
( spl6_356
<=> ! [X2,X0,X1] :
( xq = X1
| sdtasdt0(sdtpldt0(X0,sK2(X1)),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(sK2(X1),X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sP0(X1)
| sz10 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_356])]) ).
fof(f6656,plain,
( spl6_354
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,sK2(X1)),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(sK2(X1),X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sP0(X1)
| sz10 = X1
| sz00 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_354])]) ).
fof(f6659,plain,
( ! [X2,X0,X1] :
( xq = X1
| sdtasdt0(sdtpldt0(X0,sK2(X1)),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(sK2(X1),X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sP0(X1)
| sz10 = X1 )
| ~ spl6_228
| ~ spl6_354 ),
inference(forward_demodulation,[],[f6657,f3372]) ).
fof(f6657,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtpldt0(X0,sK2(X1)),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(sK2(X1),X2))
| sP0(X1)
| sz10 = X1
| sz00 = X1 )
| ~ spl6_354 ),
inference(avatar_component_clause,[],[f6656]) ).
fof(f6664,plain,
( spl6_355
| ~ spl6_211
| ~ spl6_345 ),
inference(avatar_split_clause,[],[f6501,f6493,f3178,f6661]) ).
fof(f6661,plain,
( spl6_355
<=> sdtlseqdt0(xp,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_355])]) ).
fof(f6501,plain,
( sdtlseqdt0(xp,xq)
| ~ spl6_211
| ~ spl6_345 ),
inference(superposition,[],[f3180,f6495]) ).
fof(f6658,plain,
( spl6_354
| ~ spl6_37
| ~ spl6_81 ),
inference(avatar_split_clause,[],[f924,f873,f466,f6656]) ).
fof(f466,plain,
( spl6_37
<=> ! [X0] :
( sP0(X0)
| aNaturalNumber0(sK2(X0))
| sz10 = X0
| sz00 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_37])]) ).
fof(f924,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,sK2(X1)),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(sK2(X1),X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sP0(X1)
| sz10 = X1
| sz00 = X1 )
| ~ spl6_37
| ~ spl6_81 ),
inference(resolution,[],[f874,f467]) ).
fof(f467,plain,
( ! [X0] :
( aNaturalNumber0(sK2(X0))
| sP0(X0)
| sz10 = X0
| sz00 = X0 )
| ~ spl6_37 ),
inference(avatar_component_clause,[],[f466]) ).
fof(f6631,plain,
( spl6_353
| ~ spl6_228
| ~ spl6_352 ),
inference(avatar_split_clause,[],[f6627,f6624,f3370,f6629]) ).
fof(f6629,plain,
( spl6_353
<=> ! [X2,X0,X1] :
( xq = X2
| sdtasdt0(X0,sdtpldt0(X1,sK3(X2))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK3(X2)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz10 = X2
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_353])]) ).
fof(f6624,plain,
( spl6_352
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sK3(X2))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK3(X2)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz10 = X2
| sz00 = X2
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_352])]) ).
fof(f6627,plain,
( ! [X2,X0,X1] :
( xq = X2
| sdtasdt0(X0,sdtpldt0(X1,sK3(X2))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK3(X2)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz10 = X2
| ~ aNaturalNumber0(X2) )
| ~ spl6_228
| ~ spl6_352 ),
inference(forward_demodulation,[],[f6625,f3372]) ).
fof(f6625,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz10 = X2
| sz00 = X2
| sdtasdt0(X0,sdtpldt0(X1,sK3(X2))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK3(X2))) )
| ~ spl6_352 ),
inference(avatar_component_clause,[],[f6624]) ).
fof(f6626,plain,
( spl6_352
| ~ spl6_38
| ~ spl6_80 ),
inference(avatar_split_clause,[],[f912,f869,f470,f6624]) ).
fof(f912,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sK3(X2))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK3(X2)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz10 = X2
| sz00 = X2
| ~ aNaturalNumber0(X2) )
| ~ spl6_38
| ~ spl6_80 ),
inference(resolution,[],[f870,f471]) ).
fof(f6598,plain,
( spl6_351
| ~ spl6_228
| ~ spl6_350 ),
inference(avatar_split_clause,[],[f6594,f6591,f3370,f6596]) ).
fof(f6596,plain,
( spl6_351
<=> ! [X2,X0,X1] :
( xq = X2
| sdtasdt0(X0,sdtpldt0(X1,sK2(X2))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK2(X2)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sP0(X2)
| sz10 = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_351])]) ).
fof(f6591,plain,
( spl6_350
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sK2(X2))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK2(X2)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sP0(X2)
| sz10 = X2
| sz00 = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_350])]) ).
fof(f6594,plain,
( ! [X2,X0,X1] :
( xq = X2
| sdtasdt0(X0,sdtpldt0(X1,sK2(X2))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK2(X2)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sP0(X2)
| sz10 = X2 )
| ~ spl6_228
| ~ spl6_350 ),
inference(forward_demodulation,[],[f6592,f3372]) ).
fof(f6592,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| sdtasdt0(X0,sdtpldt0(X1,sK2(X2))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK2(X2)))
| ~ aNaturalNumber0(X0)
| sP0(X2)
| sz10 = X2
| sz00 = X2 )
| ~ spl6_350 ),
inference(avatar_component_clause,[],[f6591]) ).
fof(f6593,plain,
( spl6_350
| ~ spl6_37
| ~ spl6_80 ),
inference(avatar_split_clause,[],[f911,f869,f466,f6591]) ).
fof(f911,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sK2(X2))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK2(X2)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sP0(X2)
| sz10 = X2
| sz00 = X2 )
| ~ spl6_37
| ~ spl6_80 ),
inference(resolution,[],[f870,f467]) ).
fof(f6589,plain,
( spl6_349
| ~ spl6_60
| ~ spl6_71 ),
inference(avatar_split_clause,[],[f827,f784,f667,f6587]) ).
fof(f6587,plain,
( spl6_349
<=> ! [X2,X0,X1] :
( ~ doDivides0(X0,X1)
| ~ doDivides0(X0,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X2,X1) = sdtasdt0(X0,sK4(X0,sdtpldt0(X2,X1)))
| ~ aNaturalNumber0(sdtpldt0(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_349])]) ).
fof(f667,plain,
( spl6_60
<=> ! [X0,X1] :
( sdtasdt0(X0,sK4(X0,X1)) = X1
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_60])]) ).
fof(f827,plain,
( ! [X2,X0,X1] :
( ~ doDivides0(X0,X1)
| ~ doDivides0(X0,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X2,X1) = sdtasdt0(X0,sK4(X0,sdtpldt0(X2,X1)))
| ~ aNaturalNumber0(sdtpldt0(X2,X1)) )
| ~ spl6_60
| ~ spl6_71 ),
inference(duplicate_literal_removal,[],[f822]) ).
fof(f822,plain,
( ! [X2,X0,X1] :
( ~ doDivides0(X0,X1)
| ~ doDivides0(X0,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X2,X1) = sdtasdt0(X0,sK4(X0,sdtpldt0(X2,X1)))
| ~ aNaturalNumber0(sdtpldt0(X2,X1))
| ~ aNaturalNumber0(X0) )
| ~ spl6_60
| ~ spl6_71 ),
inference(resolution,[],[f785,f668]) ).
fof(f668,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| sdtasdt0(X0,sK4(X0,X1)) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_60 ),
inference(avatar_component_clause,[],[f667]) ).
fof(f6581,plain,
( spl6_348
| ~ spl6_34
| ~ spl6_154
| ~ spl6_228
| ~ spl6_345
| ~ spl6_346 ),
inference(avatar_split_clause,[],[f6572,f6568,f6493,f3370,f2131,f447,f6579]) ).
fof(f6579,plain,
( spl6_348
<=> ! [X0] :
( xq = X0
| xn != sdtasdt0(X0,X0)
| ~ aNaturalNumber0(X0)
| ~ iLess0(X0,xn) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_348])]) ).
fof(f6572,plain,
( ! [X0] :
( xq = X0
| xn != sdtasdt0(X0,X0)
| ~ aNaturalNumber0(X0)
| ~ iLess0(X0,xn) )
| ~ spl6_34
| ~ spl6_154
| ~ spl6_228
| ~ spl6_345
| ~ spl6_346 ),
inference(forward_demodulation,[],[f6571,f3372]) ).
fof(f6577,plain,
( spl6_347
| ~ spl6_186
| ~ spl6_345 ),
inference(avatar_split_clause,[],[f6500,f6493,f2664,f6574]) ).
fof(f6574,plain,
( spl6_347
<=> doDivides0(xp,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_347])]) ).
fof(f6500,plain,
( doDivides0(xp,xq)
| ~ spl6_186
| ~ spl6_345 ),
inference(superposition,[],[f2666,f6495]) ).
fof(f6570,plain,
( ~ spl6_3
| ~ spl6_4
| spl6_10
| spl6_11
| ~ spl6_1
| spl6_346
| ~ spl6_34
| ~ spl6_88 ),
inference(avatar_split_clause,[],[f1001,f997,f447,f6568,f245,f295,f290,f260,f255]) ).
fof(f1001,plain,
( ! [X0] :
( sdtasdt0(X0,X0) != sdtasdt0(xn,xn)
| ~ iLess0(X0,xn)
| ~ isPrime0(xp)
| sz00 = xp
| sz00 = xm
| sz00 = X0
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) )
| ~ spl6_34
| ~ spl6_88 ),
inference(superposition,[],[f998,f449]) ).
fof(f6496,plain,
( spl6_345
| ~ spl6_2
| ~ spl6_94
| ~ spl6_123
| ~ spl6_136
| ~ spl6_228
| ~ spl6_251
| ~ spl6_344 ),
inference(avatar_split_clause,[],[f6491,f6486,f4226,f3370,f1830,f1593,f1029,f250,f6493]) ).
fof(f1029,plain,
( spl6_94
<=> sz00 = sdtasdt0(sz00,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_94])]) ).
fof(f6491,plain,
( sdtasdt0(xm,xm) = xq
| ~ spl6_2
| ~ spl6_94
| ~ spl6_123
| ~ spl6_136
| ~ spl6_228
| ~ spl6_251
| ~ spl6_344 ),
inference(forward_demodulation,[],[f6490,f5780]) ).
fof(f5780,plain,
( xq = sdtasdt0(xq,xn)
| ~ spl6_94
| ~ spl6_228 ),
inference(superposition,[],[f1031,f3372]) ).
fof(f1031,plain,
( sz00 = sdtasdt0(sz00,xn)
| ~ spl6_94 ),
inference(avatar_component_clause,[],[f1029]) ).
fof(f6489,plain,
( ~ spl6_4
| ~ spl6_145
| spl6_11
| spl6_344
| ~ spl6_134
| ~ spl6_18
| ~ spl6_34
| ~ spl6_87 ),
inference(avatar_split_clause,[],[f994,f979,f447,f334,f1816,f6486,f295,f1917,f260]) ).
fof(f334,plain,
( spl6_18
<=> doDivides0(xp,sdtasdt0(xn,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_18])]) ).
fof(f979,plain,
( spl6_87
<=> ! [X2,X0] :
( sdtsldt0(sdtasdt0(X0,X2),X0) = X2
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X0,sdtasdt0(X0,X2))
| sz00 = X0
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_87])]) ).
fof(f994,plain,
( ~ doDivides0(xp,sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| sdtasdt0(xm,xm) = sdtsldt0(sdtasdt0(xn,xn),xp)
| sz00 = xp
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ aNaturalNumber0(xp)
| ~ spl6_34
| ~ spl6_87 ),
inference(superposition,[],[f980,f449]) ).
fof(f980,plain,
( ! [X2,X0] :
( ~ doDivides0(X0,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| sdtsldt0(sdtasdt0(X0,X2),X0) = X2
| sz00 = X0
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X0) )
| ~ spl6_87 ),
inference(avatar_component_clause,[],[f979]) ).
fof(f6280,plain,
( ~ spl6_343
| spl6_15
| ~ spl6_228 ),
inference(avatar_split_clause,[],[f5775,f3370,f315,f6277]) ).
fof(f6277,plain,
( spl6_343
<=> sz10 = xq ),
introduced(avatar_definition,[new_symbols(naming,[spl6_343])]) ).
fof(f315,plain,
( spl6_15
<=> sz00 = sz10 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_15])]) ).
fof(f5775,plain,
( sz10 != xq
| spl6_15
| ~ spl6_228 ),
inference(superposition,[],[f317,f3372]) ).
fof(f317,plain,
( sz00 != sz10
| spl6_15 ),
inference(avatar_component_clause,[],[f315]) ).
fof(f6225,plain,
( spl6_342
| ~ spl6_228
| ~ spl6_341 ),
inference(avatar_split_clause,[],[f6221,f6217,f3370,f6223]) ).
fof(f6223,plain,
( spl6_342
<=> ! [X0] :
( xq = X0
| xq = sK2(X0)
| sdtasdt0(sK2(X0),sdtsldt0(X0,sK2(X0))) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(X0))
| sP0(X0)
| sz10 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_342])]) ).
fof(f6217,plain,
( spl6_341
<=> ! [X0] :
( sdtasdt0(sK2(X0),sdtsldt0(X0,sK2(X0))) = X0
| sz00 = sK2(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(X0))
| sP0(X0)
| sz10 = X0
| sz00 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_341])]) ).
fof(f6221,plain,
( ! [X0] :
( xq = X0
| xq = sK2(X0)
| sdtasdt0(sK2(X0),sdtsldt0(X0,sK2(X0))) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(X0))
| sP0(X0)
| sz10 = X0 )
| ~ spl6_228
| ~ spl6_341 ),
inference(forward_demodulation,[],[f6220,f3372]) ).
fof(f6220,plain,
( ! [X0] :
( xq = sK2(X0)
| sdtasdt0(sK2(X0),sdtsldt0(X0,sK2(X0))) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(X0))
| sP0(X0)
| sz10 = X0
| sz00 = X0 )
| ~ spl6_228
| ~ spl6_341 ),
inference(forward_demodulation,[],[f6218,f3372]) ).
fof(f6218,plain,
( ! [X0] :
( ~ aNaturalNumber0(sK2(X0))
| sz00 = sK2(X0)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sK2(X0),sdtsldt0(X0,sK2(X0))) = X0
| sP0(X0)
| sz10 = X0
| sz00 = X0 )
| ~ spl6_341 ),
inference(avatar_component_clause,[],[f6217]) ).
fof(f6219,plain,
( spl6_341
| ~ spl6_45
| ~ spl6_73 ),
inference(avatar_split_clause,[],[f846,f792,f559,f6217]) ).
fof(f846,plain,
( ! [X0] :
( sdtasdt0(sK2(X0),sdtsldt0(X0,sK2(X0))) = X0
| sz00 = sK2(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(X0))
| sP0(X0)
| sz10 = X0
| sz00 = X0 )
| ~ spl6_45
| ~ spl6_73 ),
inference(resolution,[],[f793,f560]) ).
fof(f6215,plain,
( spl6_340
| ~ spl6_65
| ~ spl6_71 ),
inference(avatar_split_clause,[],[f828,f784,f732,f6213]) ).
fof(f6213,plain,
( spl6_340
<=> ! [X0,X3,X2,X1] :
( ~ doDivides0(X0,X1)
| ~ doDivides0(X0,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| doDivides0(X3,sdtpldt0(X2,X1))
| ~ doDivides0(X3,X0)
| ~ aNaturalNumber0(sdtpldt0(X2,X1))
| ~ aNaturalNumber0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_340])]) ).
fof(f732,plain,
( spl6_65
<=> ! [X2,X0,X1] :
( doDivides0(X0,X2)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_65])]) ).
fof(f828,plain,
( ! [X2,X3,X0,X1] :
( ~ doDivides0(X0,X1)
| ~ doDivides0(X0,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| doDivides0(X3,sdtpldt0(X2,X1))
| ~ doDivides0(X3,X0)
| ~ aNaturalNumber0(sdtpldt0(X2,X1))
| ~ aNaturalNumber0(X3) )
| ~ spl6_65
| ~ spl6_71 ),
inference(duplicate_literal_removal,[],[f821]) ).
fof(f821,plain,
( ! [X2,X3,X0,X1] :
( ~ doDivides0(X0,X1)
| ~ doDivides0(X0,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| doDivides0(X3,sdtpldt0(X2,X1))
| ~ doDivides0(X3,X0)
| ~ aNaturalNumber0(sdtpldt0(X2,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X3) )
| ~ spl6_65
| ~ spl6_71 ),
inference(resolution,[],[f785,f733]) ).
fof(f733,plain,
( ! [X2,X0,X1] :
( ~ doDivides0(X1,X2)
| doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_65 ),
inference(avatar_component_clause,[],[f732]) ).
fof(f6118,plain,
( spl6_339
| ~ spl6_228
| ~ spl6_338 ),
inference(avatar_split_clause,[],[f6114,f6111,f3370,f6116]) ).
fof(f6116,plain,
( spl6_339
<=> ! [X2,X0,X1] :
( sdtpldt0(X2,X1) = xq
| ~ doDivides0(X0,X1)
| ~ doDivides0(X0,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X0,sdtpldt0(X2,X1))
| ~ aNaturalNumber0(sdtpldt0(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_339])]) ).
fof(f6111,plain,
( spl6_338
<=> ! [X2,X0,X1] :
( ~ doDivides0(X0,X1)
| ~ doDivides0(X0,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| sz00 = sdtpldt0(X2,X1)
| sdtlseqdt0(X0,sdtpldt0(X2,X1))
| ~ aNaturalNumber0(sdtpldt0(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_338])]) ).
fof(f6114,plain,
( ! [X2,X0,X1] :
( sdtpldt0(X2,X1) = xq
| ~ doDivides0(X0,X1)
| ~ doDivides0(X0,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X0,sdtpldt0(X2,X1))
| ~ aNaturalNumber0(sdtpldt0(X2,X1)) )
| ~ spl6_228
| ~ spl6_338 ),
inference(forward_demodulation,[],[f6112,f3372]) ).
fof(f6112,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(X0,sdtpldt0(X2,X1))
| ~ doDivides0(X0,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| sz00 = sdtpldt0(X2,X1)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(sdtpldt0(X2,X1)) )
| ~ spl6_338 ),
inference(avatar_component_clause,[],[f6111]) ).
fof(f6113,plain,
( spl6_338
| ~ spl6_55
| ~ spl6_71 ),
inference(avatar_split_clause,[],[f826,f784,f604,f6111]) ).
fof(f604,plain,
( spl6_55
<=> ! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sz00 = X1
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_55])]) ).
fof(f826,plain,
( ! [X2,X0,X1] :
( ~ doDivides0(X0,X1)
| ~ doDivides0(X0,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| sz00 = sdtpldt0(X2,X1)
| sdtlseqdt0(X0,sdtpldt0(X2,X1))
| ~ aNaturalNumber0(sdtpldt0(X2,X1)) )
| ~ spl6_55
| ~ spl6_71 ),
inference(duplicate_literal_removal,[],[f823]) ).
fof(f823,plain,
( ! [X2,X0,X1] :
( ~ doDivides0(X0,X1)
| ~ doDivides0(X0,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| sz00 = sdtpldt0(X2,X1)
| sdtlseqdt0(X0,sdtpldt0(X2,X1))
| ~ aNaturalNumber0(sdtpldt0(X2,X1))
| ~ aNaturalNumber0(X0) )
| ~ spl6_55
| ~ spl6_71 ),
inference(resolution,[],[f785,f605]) ).
fof(f605,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| sz00 = X1
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_55 ),
inference(avatar_component_clause,[],[f604]) ).
fof(f6109,plain,
( spl6_337
| ~ spl6_43
| ~ spl6_70 ),
inference(avatar_split_clause,[],[f820,f780,f490,f6107]) ).
fof(f6107,plain,
( spl6_337
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sK5(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sK5(X2,X3)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X3)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_337])]) ).
fof(f820,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sK5(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sK5(X2,X3)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X3)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) )
| ~ spl6_43
| ~ spl6_70 ),
inference(resolution,[],[f781,f491]) ).
fof(f6105,plain,
( spl6_336
| ~ spl6_42
| ~ spl6_70 ),
inference(avatar_split_clause,[],[f819,f780,f486,f6103]) ).
fof(f6103,plain,
( spl6_336
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sK4(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sK4(X2,X3)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,X3)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_336])]) ).
fof(f819,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sK4(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sK4(X2,X3)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,X3)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) )
| ~ spl6_42
| ~ spl6_70 ),
inference(resolution,[],[f781,f487]) ).
fof(f6101,plain,
( ~ spl6_335
| spl6_11
| ~ spl6_228 ),
inference(avatar_split_clause,[],[f5774,f3370,f295,f6098]) ).
fof(f6098,plain,
( spl6_335
<=> xp = xq ),
introduced(avatar_definition,[new_symbols(naming,[spl6_335])]) ).
fof(f5774,plain,
( xp != xq
| spl6_11
| ~ spl6_228 ),
inference(superposition,[],[f297,f3372]) ).
fof(f297,plain,
( sz00 != xp
| spl6_11 ),
inference(avatar_component_clause,[],[f295]) ).
fof(f6096,plain,
( spl6_334
| ~ spl6_44
| ~ spl6_70 ),
inference(avatar_split_clause,[],[f812,f780,f494,f6094]) ).
fof(f6094,plain,
( spl6_334
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sdtmndt0(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sdtmndt0(X2,X3)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X3,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_334])]) ).
fof(f812,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sdtmndt0(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sdtmndt0(X2,X3)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X3,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) )
| ~ spl6_44
| ~ spl6_70 ),
inference(resolution,[],[f781,f495]) ).
fof(f6092,plain,
( spl6_333
| ~ spl6_43
| ~ spl6_69 ),
inference(avatar_split_clause,[],[f807,f776,f490,f6090]) ).
fof(f6090,plain,
( spl6_333
<=> ! [X0,X3,X2,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sK5(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sK5(X2,X3)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X3)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_333])]) ).
fof(f807,plain,
( ! [X2,X3,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sK5(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sK5(X2,X3)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X3)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) )
| ~ spl6_43
| ~ spl6_69 ),
inference(resolution,[],[f777,f491]) ).
fof(f6088,plain,
( spl6_332
| ~ spl6_42
| ~ spl6_69 ),
inference(avatar_split_clause,[],[f806,f776,f486,f6086]) ).
fof(f6086,plain,
( spl6_332
<=> ! [X0,X3,X2,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sK4(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sK4(X2,X3)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,X3)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_332])]) ).
fof(f806,plain,
( ! [X2,X3,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sK4(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sK4(X2,X3)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,X3)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) )
| ~ spl6_42
| ~ spl6_69 ),
inference(resolution,[],[f777,f487]) ).
fof(f6084,plain,
( spl6_331
| ~ spl6_44
| ~ spl6_69 ),
inference(avatar_split_clause,[],[f799,f776,f494,f6082]) ).
fof(f6082,plain,
( spl6_331
<=> ! [X0,X3,X2,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sdtmndt0(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sdtmndt0(X2,X3)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X3,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_331])]) ).
fof(f799,plain,
( ! [X2,X3,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sdtmndt0(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sdtmndt0(X2,X3)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X3,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) )
| ~ spl6_44
| ~ spl6_69 ),
inference(resolution,[],[f777,f495]) ).
fof(f6048,plain,
( spl6_330
| ~ spl6_2
| ~ spl6_94
| ~ spl6_123
| ~ spl6_136
| ~ spl6_228
| ~ spl6_251
| ~ spl6_329 ),
inference(avatar_split_clause,[],[f6044,f6040,f4226,f3370,f1830,f1593,f1029,f250,f6046]) ).
fof(f6044,plain,
( ! [X0] :
( sdtsldt0(sdtasdt0(X0,sdtasdt0(xn,xn)),xp) = sdtasdt0(X0,xq)
| ~ aNaturalNumber0(X0) )
| ~ spl6_2
| ~ spl6_94
| ~ spl6_123
| ~ spl6_136
| ~ spl6_228
| ~ spl6_251
| ~ spl6_329 ),
inference(forward_demodulation,[],[f6043,f5780]) ).
fof(f6042,plain,
( ~ spl6_4
| ~ spl6_145
| spl6_11
| spl6_329
| ~ spl6_18
| ~ spl6_86 ),
inference(avatar_split_clause,[],[f985,f975,f334,f6040,f295,f1917,f260]) ).
fof(f985,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xn),xp)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xn,xn)),xp)
| sz00 = xp
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ aNaturalNumber0(xp) )
| ~ spl6_18
| ~ spl6_86 ),
inference(resolution,[],[f976,f336]) ).
fof(f336,plain,
( doDivides0(xp,sdtasdt0(xn,xn))
| ~ spl6_18 ),
inference(avatar_component_clause,[],[f334]) ).
fof(f5972,plain,
( ~ spl6_328
| spl6_10
| ~ spl6_228 ),
inference(avatar_split_clause,[],[f5773,f3370,f290,f5969]) ).
fof(f5773,plain,
( xm != xq
| spl6_10
| ~ spl6_228 ),
inference(superposition,[],[f292,f3372]) ).
fof(f292,plain,
( sz00 != xm
| spl6_10 ),
inference(avatar_component_clause,[],[f290]) ).
fof(f5945,plain,
( spl6_327
| ~ spl6_32
| ~ spl6_81 ),
inference(avatar_split_clause,[],[f918,f873,f424,f5943]) ).
fof(f5943,plain,
( spl6_327
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(X1,X2)),X3) = sdtpldt0(sdtasdt0(X0,X3),sdtasdt0(sdtasdt0(X1,X2),X3))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_327])]) ).
fof(f424,plain,
( spl6_32
<=> ! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_32])]) ).
fof(f918,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(X1,X2)),X3) = sdtpldt0(sdtasdt0(X0,X3),sdtasdt0(sdtasdt0(X1,X2),X3))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| ~ spl6_32
| ~ spl6_81 ),
inference(resolution,[],[f874,f425]) ).
fof(f425,plain,
( ! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_32 ),
inference(avatar_component_clause,[],[f424]) ).
fof(f5941,plain,
( spl6_326
| ~ spl6_31
| ~ spl6_81 ),
inference(avatar_split_clause,[],[f917,f873,f420,f5939]) ).
fof(f5939,plain,
( spl6_326
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(sdtpldt0(X0,sdtpldt0(X1,X2)),X3) = sdtpldt0(sdtasdt0(X0,X3),sdtasdt0(sdtpldt0(X1,X2),X3))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_326])]) ).
fof(f420,plain,
( spl6_31
<=> ! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_31])]) ).
fof(f917,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(sdtpldt0(X0,sdtpldt0(X1,X2)),X3) = sdtpldt0(sdtasdt0(X0,X3),sdtasdt0(sdtpldt0(X1,X2),X3))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| ~ spl6_31
| ~ spl6_81 ),
inference(resolution,[],[f874,f421]) ).
fof(f421,plain,
( ! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_31 ),
inference(avatar_component_clause,[],[f420]) ).
fof(f5937,plain,
( spl6_325
| ~ spl6_32
| ~ spl6_80 ),
inference(avatar_split_clause,[],[f905,f869,f424,f5935]) ).
fof(f5935,plain,
( spl6_325
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(X2,X3)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_325])]) ).
fof(f905,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(X2,X3)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) )
| ~ spl6_32
| ~ spl6_80 ),
inference(resolution,[],[f870,f425]) ).
fof(f5933,plain,
( spl6_324
| ~ spl6_31
| ~ spl6_80 ),
inference(avatar_split_clause,[],[f904,f869,f420,f5931]) ).
fof(f5931,plain,
( spl6_324
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(X2,X3)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_324])]) ).
fof(f904,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(X2,X3)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) )
| ~ spl6_31
| ~ spl6_80 ),
inference(resolution,[],[f870,f421]) ).
fof(f5909,plain,
( spl6_323
| ~ spl6_228
| ~ spl6_322 ),
inference(avatar_split_clause,[],[f5905,f5902,f3370,f5907]) ).
fof(f5907,plain,
( spl6_323
<=> ! [X2,X0,X1] :
( xq = X2
| sdtasdt0(sdtasdt0(X0,X1),sK3(X2)) = sdtasdt0(X0,sdtasdt0(X1,sK3(X2)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz10 = X2
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_323])]) ).
fof(f5902,plain,
( spl6_322
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sK3(X2)) = sdtasdt0(X0,sdtasdt0(X1,sK3(X2)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz10 = X2
| sz00 = X2
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_322])]) ).
fof(f5905,plain,
( ! [X2,X0,X1] :
( xq = X2
| sdtasdt0(sdtasdt0(X0,X1),sK3(X2)) = sdtasdt0(X0,sdtasdt0(X1,sK3(X2)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz10 = X2
| ~ aNaturalNumber0(X2) )
| ~ spl6_228
| ~ spl6_322 ),
inference(forward_demodulation,[],[f5903,f3372]) ).
fof(f5903,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz10 = X2
| sz00 = X2
| sdtasdt0(sdtasdt0(X0,X1),sK3(X2)) = sdtasdt0(X0,sdtasdt0(X1,sK3(X2))) )
| ~ spl6_322 ),
inference(avatar_component_clause,[],[f5902]) ).
fof(f5904,plain,
( spl6_322
| ~ spl6_38
| ~ spl6_70 ),
inference(avatar_split_clause,[],[f818,f780,f470,f5902]) ).
fof(f818,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sK3(X2)) = sdtasdt0(X0,sdtasdt0(X1,sK3(X2)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz10 = X2
| sz00 = X2
| ~ aNaturalNumber0(X2) )
| ~ spl6_38
| ~ spl6_70 ),
inference(resolution,[],[f781,f471]) ).
fof(f5878,plain,
( spl6_321
| ~ spl6_228
| ~ spl6_319 ),
inference(avatar_split_clause,[],[f5869,f5866,f3370,f5876]) ).
fof(f5876,plain,
( spl6_321
<=> ! [X2,X0,X1] :
( xq = X2
| sdtasdt0(sdtasdt0(X0,X1),sK2(X2)) = sdtasdt0(X0,sdtasdt0(X1,sK2(X2)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sP0(X2)
| sz10 = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_321])]) ).
fof(f5866,plain,
( spl6_319
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sK2(X2)) = sdtasdt0(X0,sdtasdt0(X1,sK2(X2)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sP0(X2)
| sz10 = X2
| sz00 = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_319])]) ).
fof(f5869,plain,
( ! [X2,X0,X1] :
( xq = X2
| sdtasdt0(sdtasdt0(X0,X1),sK2(X2)) = sdtasdt0(X0,sdtasdt0(X1,sK2(X2)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sP0(X2)
| sz10 = X2 )
| ~ spl6_228
| ~ spl6_319 ),
inference(forward_demodulation,[],[f5867,f3372]) ).
fof(f5867,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| sdtasdt0(sdtasdt0(X0,X1),sK2(X2)) = sdtasdt0(X0,sdtasdt0(X1,sK2(X2)))
| ~ aNaturalNumber0(X0)
| sP0(X2)
| sz10 = X2
| sz00 = X2 )
| ~ spl6_319 ),
inference(avatar_component_clause,[],[f5866]) ).
fof(f5874,plain,
( ~ spl6_320
| spl6_9
| ~ spl6_228 ),
inference(avatar_split_clause,[],[f5772,f3370,f285,f5871]) ).
fof(f5772,plain,
( xn != xq
| spl6_9
| ~ spl6_228 ),
inference(superposition,[],[f287,f3372]) ).
fof(f287,plain,
( sz00 != xn
| spl6_9 ),
inference(avatar_component_clause,[],[f285]) ).
fof(f5868,plain,
( spl6_319
| ~ spl6_37
| ~ spl6_70 ),
inference(avatar_split_clause,[],[f817,f780,f466,f5866]) ).
fof(f817,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sK2(X2)) = sdtasdt0(X0,sdtasdt0(X1,sK2(X2)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sP0(X2)
| sz10 = X2
| sz00 = X2 )
| ~ spl6_37
| ~ spl6_70 ),
inference(resolution,[],[f781,f467]) ).
fof(f5844,plain,
( spl6_318
| ~ spl6_228
| ~ spl6_317 ),
inference(avatar_split_clause,[],[f5840,f5837,f3370,f5842]) ).
fof(f5842,plain,
( spl6_318
<=> ! [X2,X0,X1] :
( xq = X2
| sdtpldt0(sdtpldt0(X0,X1),sK3(X2)) = sdtpldt0(X0,sdtpldt0(X1,sK3(X2)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz10 = X2
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_318])]) ).
fof(f5837,plain,
( spl6_317
<=> ! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sK3(X2)) = sdtpldt0(X0,sdtpldt0(X1,sK3(X2)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz10 = X2
| sz00 = X2
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_317])]) ).
fof(f5840,plain,
( ! [X2,X0,X1] :
( xq = X2
| sdtpldt0(sdtpldt0(X0,X1),sK3(X2)) = sdtpldt0(X0,sdtpldt0(X1,sK3(X2)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz10 = X2
| ~ aNaturalNumber0(X2) )
| ~ spl6_228
| ~ spl6_317 ),
inference(forward_demodulation,[],[f5838,f3372]) ).
fof(f5838,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz10 = X2
| sz00 = X2
| sdtpldt0(sdtpldt0(X0,X1),sK3(X2)) = sdtpldt0(X0,sdtpldt0(X1,sK3(X2))) )
| ~ spl6_317 ),
inference(avatar_component_clause,[],[f5837]) ).
fof(f5839,plain,
( spl6_317
| ~ spl6_38
| ~ spl6_69 ),
inference(avatar_split_clause,[],[f805,f776,f470,f5837]) ).
fof(f805,plain,
( ! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sK3(X2)) = sdtpldt0(X0,sdtpldt0(X1,sK3(X2)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz10 = X2
| sz00 = X2
| ~ aNaturalNumber0(X2) )
| ~ spl6_38
| ~ spl6_69 ),
inference(resolution,[],[f777,f471]) ).
fof(f5813,plain,
( spl6_316
| ~ spl6_228
| ~ spl6_315 ),
inference(avatar_split_clause,[],[f5809,f5806,f3370,f5811]) ).
fof(f5811,plain,
( spl6_316
<=> ! [X2,X0,X1] :
( xq = X2
| sdtpldt0(sdtpldt0(X0,X1),sK2(X2)) = sdtpldt0(X0,sdtpldt0(X1,sK2(X2)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sP0(X2)
| sz10 = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_316])]) ).
fof(f5806,plain,
( spl6_315
<=> ! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sK2(X2)) = sdtpldt0(X0,sdtpldt0(X1,sK2(X2)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sP0(X2)
| sz10 = X2
| sz00 = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_315])]) ).
fof(f5809,plain,
( ! [X2,X0,X1] :
( xq = X2
| sdtpldt0(sdtpldt0(X0,X1),sK2(X2)) = sdtpldt0(X0,sdtpldt0(X1,sK2(X2)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sP0(X2)
| sz10 = X2 )
| ~ spl6_228
| ~ spl6_315 ),
inference(forward_demodulation,[],[f5807,f3372]) ).
fof(f5807,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| sdtpldt0(sdtpldt0(X0,X1),sK2(X2)) = sdtpldt0(X0,sdtpldt0(X1,sK2(X2)))
| ~ aNaturalNumber0(X0)
| sP0(X2)
| sz10 = X2
| sz00 = X2 )
| ~ spl6_315 ),
inference(avatar_component_clause,[],[f5806]) ).
fof(f5808,plain,
( spl6_315
| ~ spl6_37
| ~ spl6_69 ),
inference(avatar_split_clause,[],[f804,f776,f466,f5806]) ).
fof(f804,plain,
( ! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sK2(X2)) = sdtpldt0(X0,sdtpldt0(X1,sK2(X2)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sP0(X2)
| sz10 = X2
| sz00 = X2 )
| ~ spl6_37
| ~ spl6_69 ),
inference(resolution,[],[f777,f467]) ).
fof(f5803,plain,
( ~ spl6_134
| spl6_260
| ~ spl6_4
| spl6_314
| ~ spl6_34
| ~ spl6_77 ),
inference(avatar_split_clause,[],[f887,f857,f447,f5801,f260,f4582,f1816]) ).
fof(f5801,plain,
( spl6_314
<=> ! [X0] :
( sdtasdt0(xn,xn) != sdtasdt0(X0,sdtasdt0(xm,xm))
| ~ aNaturalNumber0(X0)
| xp = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_314])]) ).
fof(f857,plain,
( spl6_77
<=> ! [X2,X0,X1] :
( X1 = X2
| sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sz00 = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_77])]) ).
fof(f887,plain,
( ! [X0] :
( sdtasdt0(xn,xn) != sdtasdt0(X0,sdtasdt0(xm,xm))
| xp = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xp)
| sz00 = sdtasdt0(xm,xm)
| ~ aNaturalNumber0(sdtasdt0(xm,xm)) )
| ~ spl6_34
| ~ spl6_77 ),
inference(superposition,[],[f858,f449]) ).
fof(f858,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
| X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl6_77 ),
inference(avatar_component_clause,[],[f857]) ).
fof(f5768,plain,
( spl6_313
| ~ spl6_210
| ~ spl6_228 ),
inference(avatar_split_clause,[],[f5763,f3370,f3174,f5765]) ).
fof(f5763,plain,
( xq = sdtasdt0(xq,xq)
| ~ spl6_210
| ~ spl6_228 ),
inference(forward_demodulation,[],[f3176,f3372]) ).
fof(f3176,plain,
( sz00 = sdtasdt0(xq,xq)
| ~ spl6_210 ),
inference(avatar_component_clause,[],[f3174]) ).
fof(f5735,plain,
( ~ spl6_133
| spl6_210
| ~ spl6_4
| spl6_312
| ~ spl6_33
| ~ spl6_77 ),
inference(avatar_split_clause,[],[f886,f857,f442,f5733,f260,f3174,f1812]) ).
fof(f5733,plain,
( spl6_312
<=> ! [X0] :
( sdtasdt0(xm,xm) != sdtasdt0(X0,sdtasdt0(xq,xq))
| ~ aNaturalNumber0(X0)
| xp = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_312])]) ).
fof(f886,plain,
( ! [X0] :
( sdtasdt0(xm,xm) != sdtasdt0(X0,sdtasdt0(xq,xq))
| xp = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xp)
| sz00 = sdtasdt0(xq,xq)
| ~ aNaturalNumber0(sdtasdt0(xq,xq)) )
| ~ spl6_33
| ~ spl6_77 ),
inference(superposition,[],[f858,f444]) ).
fof(f5709,plain,
( spl6_311
| ~ spl6_48
| ~ spl6_73 ),
inference(avatar_split_clause,[],[f848,f792,f573,f5707]) ).
fof(f5707,plain,
( spl6_311
<=> ! [X0] :
( sdtasdt0(sK3(X0),sdtsldt0(X0,sK3(X0))) = X0
| sz00 = sK3(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(X0))
| sz10 = X0
| sz00 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_311])]) ).
fof(f848,plain,
( ! [X0] :
( sdtasdt0(sK3(X0),sdtsldt0(X0,sK3(X0))) = X0
| sz00 = sK3(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(X0))
| sz10 = X0
| sz00 = X0 )
| ~ spl6_48
| ~ spl6_73 ),
inference(duplicate_literal_removal,[],[f847]) ).
fof(f847,plain,
( ! [X0] :
( sdtasdt0(sK3(X0),sdtsldt0(X0,sK3(X0))) = X0
| sz00 = sK3(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(X0))
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl6_48
| ~ spl6_73 ),
inference(resolution,[],[f793,f574]) ).
fof(f5705,plain,
( spl6_310
| ~ spl6_53
| ~ spl6_71 ),
inference(avatar_split_clause,[],[f825,f784,f596,f5703]) ).
fof(f5703,plain,
( spl6_310
<=> ! [X2,X0,X1] :
( ~ doDivides0(X0,X1)
| ~ doDivides0(X0,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| sz10 = X0
| sdtpldt0(X2,X1) = X0
| ~ sP0(sdtpldt0(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_310])]) ).
fof(f596,plain,
( spl6_53
<=> ! [X2,X0] :
( X0 = X2
| sz10 = X2
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(X2)
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_53])]) ).
fof(f825,plain,
( ! [X2,X0,X1] :
( ~ doDivides0(X0,X1)
| ~ doDivides0(X0,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| sz10 = X0
| sdtpldt0(X2,X1) = X0
| ~ sP0(sdtpldt0(X2,X1)) )
| ~ spl6_53
| ~ spl6_71 ),
inference(duplicate_literal_removal,[],[f824]) ).
fof(f824,plain,
( ! [X2,X0,X1] :
( ~ doDivides0(X0,X1)
| ~ doDivides0(X0,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| sz10 = X0
| sdtpldt0(X2,X1) = X0
| ~ aNaturalNumber0(X0)
| ~ sP0(sdtpldt0(X2,X1)) )
| ~ spl6_53
| ~ spl6_71 ),
inference(resolution,[],[f785,f597]) ).
fof(f597,plain,
( ! [X2,X0] :
( ~ doDivides0(X2,X0)
| sz10 = X2
| X0 = X2
| ~ aNaturalNumber0(X2)
| ~ sP0(X0) )
| ~ spl6_53 ),
inference(avatar_component_clause,[],[f596]) ).
fof(f5570,plain,
( spl6_309
| ~ spl6_32
| ~ spl6_70 ),
inference(avatar_split_clause,[],[f811,f780,f424,f5568]) ).
fof(f5568,plain,
( spl6_309
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(X2,X3)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_309])]) ).
fof(f811,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(X2,X3)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) )
| ~ spl6_32
| ~ spl6_70 ),
inference(resolution,[],[f781,f425]) ).
fof(f5566,plain,
( spl6_308
| ~ spl6_31
| ~ spl6_70 ),
inference(avatar_split_clause,[],[f810,f780,f420,f5564]) ).
fof(f5564,plain,
( spl6_308
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(X2,X3)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_308])]) ).
fof(f810,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(X2,X3)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) )
| ~ spl6_31
| ~ spl6_70 ),
inference(resolution,[],[f781,f421]) ).
fof(f5562,plain,
( spl6_307
| ~ spl6_32
| ~ spl6_69 ),
inference(avatar_split_clause,[],[f798,f776,f424,f5560]) ).
fof(f5560,plain,
( spl6_307
<=> ! [X0,X3,X2,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(X2,X3)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_307])]) ).
fof(f798,plain,
( ! [X2,X3,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(X2,X3)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) )
| ~ spl6_32
| ~ spl6_69 ),
inference(resolution,[],[f777,f425]) ).
fof(f5558,plain,
( spl6_306
| ~ spl6_31
| ~ spl6_69 ),
inference(avatar_split_clause,[],[f797,f776,f420,f5556]) ).
fof(f5556,plain,
( spl6_306
<=> ! [X0,X3,X2,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(X2,X3)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_306])]) ).
fof(f797,plain,
( ! [X2,X3,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(X2,X3)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) )
| ~ spl6_31
| ~ spl6_69 ),
inference(resolution,[],[f777,f421]) ).
fof(f5554,plain,
( spl6_305
| ~ spl6_41
| ~ spl6_63 ),
inference(avatar_split_clause,[],[f725,f679,f482,f5552]) ).
fof(f5552,plain,
( spl6_305
<=> ! [X2,X0,X1] :
( ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtasdt0(sdtsldt0(X1,X0),X2)
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_305])]) ).
fof(f482,plain,
( spl6_41
<=> ! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_41])]) ).
fof(f725,plain,
( ! [X2,X0,X1] :
( ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtasdt0(sdtsldt0(X1,X0),X2)
| ~ aNaturalNumber0(X2) )
| ~ spl6_41
| ~ spl6_63 ),
inference(resolution,[],[f680,f483]) ).
fof(f483,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_41 ),
inference(avatar_component_clause,[],[f482]) ).
fof(f5550,plain,
( spl6_304
| ~ spl6_40
| ~ spl6_63 ),
inference(avatar_split_clause,[],[f724,f679,f478,f5548]) ).
fof(f5548,plain,
( spl6_304
<=> ! [X2,X0,X1] :
( ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X2,sdtsldt0(X1,X0)) = sdtpldt0(sdtsldt0(X1,X0),X2)
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_304])]) ).
fof(f478,plain,
( spl6_40
<=> ! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_40])]) ).
fof(f724,plain,
( ! [X2,X0,X1] :
( ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X2,sdtsldt0(X1,X0)) = sdtpldt0(sdtsldt0(X1,X0),X2)
| ~ aNaturalNumber0(X2) )
| ~ spl6_40
| ~ spl6_63 ),
inference(resolution,[],[f680,f479]) ).
fof(f479,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_40 ),
inference(avatar_component_clause,[],[f478]) ).
fof(f5543,plain,
( spl6_303
| ~ spl6_125
| ~ spl6_136
| ~ spl6_154 ),
inference(avatar_split_clause,[],[f2178,f2131,f1830,f1601,f5540]) ).
fof(f5540,plain,
( spl6_303
<=> xn = sdtasdt0(xq,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_303])]) ).
fof(f1601,plain,
( spl6_125
<=> ! [X0] :
( sdtasdt0(X0,xp) = sdtasdt0(xp,X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_125])]) ).
fof(f2178,plain,
( xn = sdtasdt0(xq,xp)
| ~ spl6_125
| ~ spl6_136
| ~ spl6_154 ),
inference(forward_demodulation,[],[f2167,f2133]) ).
fof(f2167,plain,
( sdtasdt0(xp,xq) = sdtasdt0(xq,xp)
| ~ spl6_125
| ~ spl6_136 ),
inference(resolution,[],[f1831,f1602]) ).
fof(f1602,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,xp) = sdtasdt0(xp,X0) )
| ~ spl6_125 ),
inference(avatar_component_clause,[],[f1601]) ).
fof(f5538,plain,
( spl6_302
| ~ spl6_88 ),
inference(avatar_split_clause,[],[f1003,f997,f5536]) ).
fof(f5536,plain,
( spl6_302
<=> ! [X0] :
( ~ iLess0(sdtasdt0(X0,X0),xn)
| ~ isPrime0(sdtasdt0(X0,X0))
| sz00 = sdtasdt0(X0,X0)
| sz00 = X0
| ~ aNaturalNumber0(sdtasdt0(X0,X0))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_302])]) ).
fof(f1003,plain,
( ! [X0] :
( ~ iLess0(sdtasdt0(X0,X0),xn)
| ~ isPrime0(sdtasdt0(X0,X0))
| sz00 = sdtasdt0(X0,X0)
| sz00 = X0
| ~ aNaturalNumber0(sdtasdt0(X0,X0))
| ~ aNaturalNumber0(X0) )
| ~ spl6_88 ),
inference(duplicate_literal_removal,[],[f1002]) ).
fof(f1002,plain,
( ! [X0] :
( ~ iLess0(sdtasdt0(X0,X0),xn)
| ~ isPrime0(sdtasdt0(X0,X0))
| sz00 = sdtasdt0(X0,X0)
| sz00 = X0
| sz00 = sdtasdt0(X0,X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X0)) )
| ~ spl6_88 ),
inference(equality_resolution,[],[f998]) ).
fof(f5525,plain,
( ~ spl6_4
| ~ spl6_134
| spl6_301
| ~ spl6_34
| ~ spl6_82 ),
inference(avatar_split_clause,[],[f933,f877,f447,f5523,f1816,f260]) ).
fof(f5523,plain,
( spl6_301
<=> ! [X0] :
( ~ doDivides0(X0,sdtasdt0(xn,xn))
| ~ aNaturalNumber0(X0)
| ~ isPrime0(X0)
| doDivides0(X0,sdtasdt0(xm,xm))
| doDivides0(X0,xp) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_301])]) ).
fof(f933,plain,
( ! [X0] :
( ~ doDivides0(X0,sdtasdt0(xn,xn))
| doDivides0(X0,xp)
| doDivides0(X0,sdtasdt0(xm,xm))
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ~ aNaturalNumber0(xp) )
| ~ spl6_34
| ~ spl6_82 ),
inference(superposition,[],[f878,f449]) ).
fof(f5514,plain,
( ~ spl6_4
| ~ spl6_133
| spl6_300
| ~ spl6_33
| ~ spl6_82 ),
inference(avatar_split_clause,[],[f932,f877,f442,f5512,f1812,f260]) ).
fof(f5512,plain,
( spl6_300
<=> ! [X0] :
( ~ doDivides0(X0,sdtasdt0(xm,xm))
| ~ aNaturalNumber0(X0)
| ~ isPrime0(X0)
| doDivides0(X0,sdtasdt0(xq,xq))
| doDivides0(X0,xp) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_300])]) ).
fof(f932,plain,
( ! [X0] :
( ~ doDivides0(X0,sdtasdt0(xm,xm))
| doDivides0(X0,xp)
| doDivides0(X0,sdtasdt0(xq,xq))
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ aNaturalNumber0(xp) )
| ~ spl6_33
| ~ spl6_82 ),
inference(superposition,[],[f878,f444]) ).
fof(f5503,plain,
( ~ spl6_4
| spl6_11
| ~ spl6_134
| spl6_299
| ~ spl6_34
| ~ spl6_76 ),
inference(avatar_split_clause,[],[f881,f853,f447,f5501,f1816,f295,f260]) ).
fof(f5501,plain,
( spl6_299
<=> ! [X0] :
( sdtasdt0(xn,xn) != sdtasdt0(xp,X0)
| ~ aNaturalNumber0(X0)
| sdtasdt0(xm,xm) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_299])]) ).
fof(f853,plain,
( spl6_76
<=> ! [X2,X0,X1] :
( X1 = X2
| sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sz00 = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_76])]) ).
fof(f881,plain,
( ! [X0] :
( sdtasdt0(xn,xn) != sdtasdt0(xp,X0)
| sdtasdt0(xm,xm) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| sz00 = xp
| ~ aNaturalNumber0(xp) )
| ~ spl6_34
| ~ spl6_76 ),
inference(superposition,[],[f854,f449]) ).
fof(f854,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
| X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl6_76 ),
inference(avatar_component_clause,[],[f853]) ).
fof(f5490,plain,
( ~ spl6_4
| spl6_11
| ~ spl6_133
| spl6_298
| ~ spl6_33
| ~ spl6_76 ),
inference(avatar_split_clause,[],[f880,f853,f442,f5488,f1812,f295,f260]) ).
fof(f5488,plain,
( spl6_298
<=> ! [X0] :
( sdtasdt0(xm,xm) != sdtasdt0(xp,X0)
| ~ aNaturalNumber0(X0)
| sdtasdt0(xq,xq) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_298])]) ).
fof(f880,plain,
( ! [X0] :
( sdtasdt0(xm,xm) != sdtasdt0(xp,X0)
| sdtasdt0(xq,xq) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| sz00 = xp
| ~ aNaturalNumber0(xp) )
| ~ spl6_33
| ~ spl6_76 ),
inference(superposition,[],[f854,f444]) ).
fof(f5439,plain,
( spl6_297
| ~ spl6_29
| ~ spl6_136 ),
inference(avatar_split_clause,[],[f2155,f1830,f381,f5436]) ).
fof(f2155,plain,
( xq = sdtasdt0(sz10,xq)
| ~ spl6_29
| ~ spl6_136 ),
inference(resolution,[],[f1831,f382]) ).
fof(f5347,plain,
( spl6_296
| ~ spl6_57
| ~ spl6_73 ),
inference(avatar_split_clause,[],[f850,f792,f612,f5345]) ).
fof(f5345,plain,
( spl6_296
<=> ! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X0,sdtsldt0(sdtasdt0(X0,X1),X0))
| sz00 = X0
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_296])]) ).
fof(f850,plain,
( ! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X0,sdtsldt0(sdtasdt0(X0,X1),X0))
| sz00 = X0
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl6_57
| ~ spl6_73 ),
inference(duplicate_literal_removal,[],[f842]) ).
fof(f842,plain,
( ! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X0,sdtsldt0(sdtasdt0(X0,X1),X0))
| sz00 = X0
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0) )
| ~ spl6_57
| ~ spl6_73 ),
inference(resolution,[],[f793,f613]) ).
fof(f5343,plain,
( spl6_295
| ~ spl6_45
| ~ spl6_65 ),
inference(avatar_split_clause,[],[f744,f732,f559,f5341]) ).
fof(f5341,plain,
( spl6_295
<=> ! [X0,X1] :
( doDivides0(X0,X1)
| ~ doDivides0(X0,sK2(X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sK2(X1))
| ~ aNaturalNumber0(X0)
| sP0(X1)
| sz10 = X1
| sz00 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_295])]) ).
fof(f744,plain,
( ! [X0,X1] :
( doDivides0(X0,X1)
| ~ doDivides0(X0,sK2(X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sK2(X1))
| ~ aNaturalNumber0(X0)
| sP0(X1)
| sz10 = X1
| sz00 = X1 )
| ~ spl6_45
| ~ spl6_65 ),
inference(resolution,[],[f733,f560]) ).
fof(f5339,plain,
( spl6_294
| ~ spl6_49
| ~ spl6_62 ),
inference(avatar_split_clause,[],[f712,f675,f577,f5337]) ).
fof(f5337,plain,
( spl6_294
<=> ! [X0,X1] :
( sdtasdt0(X0,X1) = sdtpldt0(X0,sdtmndt0(sdtasdt0(X0,X1),X0))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| sz00 = X1
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_294])]) ).
fof(f577,plain,
( spl6_49
<=> ! [X0,X1] :
( sdtlseqdt0(X1,sdtasdt0(X1,X0))
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_49])]) ).
fof(f712,plain,
( ! [X0,X1] :
( sdtasdt0(X0,X1) = sdtpldt0(X0,sdtmndt0(sdtasdt0(X0,X1),X0))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| sz00 = X1
| ~ aNaturalNumber0(X1) )
| ~ spl6_49
| ~ spl6_62 ),
inference(duplicate_literal_removal,[],[f709]) ).
fof(f709,plain,
( ! [X0,X1] :
( sdtasdt0(X0,X1) = sdtpldt0(X0,sdtmndt0(sdtasdt0(X0,X1),X0))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| sz00 = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl6_49
| ~ spl6_62 ),
inference(resolution,[],[f676,f578]) ).
fof(f578,plain,
( ! [X0,X1] :
( sdtlseqdt0(X1,sdtasdt0(X1,X0))
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_49 ),
inference(avatar_component_clause,[],[f577]) ).
fof(f5335,plain,
( spl6_293
| ~ spl6_49
| ~ spl6_61 ),
inference(avatar_split_clause,[],[f697,f671,f577,f5333]) ).
fof(f5333,plain,
( spl6_293
<=> ! [X0,X1] :
( sdtasdt0(X0,X1) = sdtpldt0(X0,sK5(X0,sdtasdt0(X0,X1)))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| sz00 = X1
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_293])]) ).
fof(f697,plain,
( ! [X0,X1] :
( sdtasdt0(X0,X1) = sdtpldt0(X0,sK5(X0,sdtasdt0(X0,X1)))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| sz00 = X1
| ~ aNaturalNumber0(X1) )
| ~ spl6_49
| ~ spl6_61 ),
inference(duplicate_literal_removal,[],[f694]) ).
fof(f694,plain,
( ! [X0,X1] :
( sdtasdt0(X0,X1) = sdtpldt0(X0,sK5(X0,sdtasdt0(X0,X1)))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| sz00 = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl6_49
| ~ spl6_61 ),
inference(resolution,[],[f672,f578]) ).
fof(f5331,plain,
( spl6_292
| ~ spl6_45
| ~ spl6_60 ),
inference(avatar_split_clause,[],[f685,f667,f559,f5329]) ).
fof(f5329,plain,
( spl6_292
<=> ! [X0] :
( sdtasdt0(sK2(X0),sK4(sK2(X0),X0)) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(X0))
| sP0(X0)
| sz10 = X0
| sz00 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_292])]) ).
fof(f685,plain,
( ! [X0] :
( sdtasdt0(sK2(X0),sK4(sK2(X0),X0)) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(X0))
| sP0(X0)
| sz10 = X0
| sz00 = X0 )
| ~ spl6_45
| ~ spl6_60 ),
inference(resolution,[],[f668,f560]) ).
fof(f5246,plain,
( spl6_291
| ~ spl6_28
| ~ spl6_136 ),
inference(avatar_split_clause,[],[f2154,f1830,f377,f5243]) ).
fof(f5243,plain,
( spl6_291
<=> xq = sdtasdt0(xq,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_291])]) ).
fof(f377,plain,
( spl6_28
<=> ! [X0] :
( sdtasdt0(X0,sz10) = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_28])]) ).
fof(f2154,plain,
( xq = sdtasdt0(xq,sz10)
| ~ spl6_28
| ~ spl6_136 ),
inference(resolution,[],[f1831,f378]) ).
fof(f378,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sz10) = X0 )
| ~ spl6_28 ),
inference(avatar_component_clause,[],[f377]) ).
fof(f5175,plain,
( spl6_290
| ~ spl6_49
| ~ spl6_66 ),
inference(avatar_split_clause,[],[f756,f736,f577,f5173]) ).
fof(f5173,plain,
( spl6_290
<=> ! [X2,X0,X1] :
( sdtlseqdt0(X0,sdtasdt0(X1,X2))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = X2
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_290])]) ).
fof(f756,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(X0,sdtasdt0(X1,X2))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = X2
| ~ aNaturalNumber0(X2) )
| ~ spl6_49
| ~ spl6_66 ),
inference(duplicate_literal_removal,[],[f753]) ).
fof(f753,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(X0,sdtasdt0(X1,X2))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) )
| ~ spl6_49
| ~ spl6_66 ),
inference(resolution,[],[f737,f578]) ).
fof(f5171,plain,
( spl6_289
| ~ spl6_49
| ~ spl6_56 ),
inference(avatar_split_clause,[],[f652,f608,f577,f5169]) ).
fof(f5169,plain,
( spl6_289
<=> ! [X0,X1] :
( sdtasdt0(X0,X1) = X0
| ~ sdtlseqdt0(sdtasdt0(X0,X1),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| sz00 = X1
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_289])]) ).
fof(f652,plain,
( ! [X0,X1] :
( sdtasdt0(X0,X1) = X0
| ~ sdtlseqdt0(sdtasdt0(X0,X1),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| sz00 = X1
| ~ aNaturalNumber0(X1) )
| ~ spl6_49
| ~ spl6_56 ),
inference(duplicate_literal_removal,[],[f649]) ).
fof(f649,plain,
( ! [X0,X1] :
( sdtasdt0(X0,X1) = X0
| ~ sdtlseqdt0(sdtasdt0(X0,X1),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| sz00 = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl6_49
| ~ spl6_56 ),
inference(resolution,[],[f609,f578]) ).
fof(f5167,plain,
( spl6_288
| ~ spl6_49
| ~ spl6_54 ),
inference(avatar_split_clause,[],[f630,f600,f577,f5165]) ).
fof(f5165,plain,
( spl6_288
<=> ! [X0,X1] :
( iLess0(X0,sdtasdt0(X0,X1))
| sdtasdt0(X0,X1) = X0
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| sz00 = X1
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_288])]) ).
fof(f630,plain,
( ! [X0,X1] :
( iLess0(X0,sdtasdt0(X0,X1))
| sdtasdt0(X0,X1) = X0
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| sz00 = X1
| ~ aNaturalNumber0(X1) )
| ~ spl6_49
| ~ spl6_54 ),
inference(duplicate_literal_removal,[],[f627]) ).
fof(f627,plain,
( ! [X0,X1] :
( iLess0(X0,sdtasdt0(X0,X1))
| sdtasdt0(X0,X1) = X0
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| sz00 = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl6_49
| ~ spl6_54 ),
inference(resolution,[],[f601,f578]) ).
fof(f5163,plain,
( spl6_287
| ~ spl6_48
| ~ spl6_53 ),
inference(avatar_split_clause,[],[f622,f596,f573,f5161]) ).
fof(f5161,plain,
( spl6_287
<=> ! [X0] :
( sz10 = sK3(X0)
| sK3(X0) = X0
| ~ aNaturalNumber0(sK3(X0))
| ~ sP0(X0)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_287])]) ).
fof(f622,plain,
( ! [X0] :
( sz10 = sK3(X0)
| sK3(X0) = X0
| ~ aNaturalNumber0(sK3(X0))
| ~ sP0(X0)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl6_48
| ~ spl6_53 ),
inference(resolution,[],[f597,f574]) ).
fof(f5123,plain,
( spl6_286
| ~ spl6_27
| ~ spl6_136 ),
inference(avatar_split_clause,[],[f2153,f1830,f373,f5120]) ).
fof(f5120,plain,
( spl6_286
<=> xq = sdtpldt0(sz00,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_286])]) ).
fof(f373,plain,
( spl6_27
<=> ! [X0] :
( sdtpldt0(sz00,X0) = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_27])]) ).
fof(f2153,plain,
( xq = sdtpldt0(sz00,xq)
| ~ spl6_27
| ~ spl6_136 ),
inference(resolution,[],[f1831,f374]) ).
fof(f374,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sz00,X0) = X0 )
| ~ spl6_27 ),
inference(avatar_component_clause,[],[f373]) ).
fof(f4946,plain,
( spl6_285
| ~ spl6_48
| ~ spl6_65 ),
inference(avatar_split_clause,[],[f746,f732,f573,f4944]) ).
fof(f4944,plain,
( spl6_285
<=> ! [X0,X1] :
( doDivides0(X0,X1)
| ~ doDivides0(X0,sK3(X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sK3(X1))
| ~ aNaturalNumber0(X0)
| sz10 = X1
| sz00 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_285])]) ).
fof(f746,plain,
( ! [X0,X1] :
( doDivides0(X0,X1)
| ~ doDivides0(X0,sK3(X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sK3(X1))
| ~ aNaturalNumber0(X0)
| sz10 = X1
| sz00 = X1 )
| ~ spl6_48
| ~ spl6_65 ),
inference(duplicate_literal_removal,[],[f745]) ).
fof(f745,plain,
( ! [X0,X1] :
( doDivides0(X0,X1)
| ~ doDivides0(X0,sK3(X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sK3(X1))
| ~ aNaturalNumber0(X0)
| sz10 = X1
| sz00 = X1
| ~ aNaturalNumber0(X1) )
| ~ spl6_48
| ~ spl6_65 ),
inference(resolution,[],[f733,f574]) ).
fof(f4942,plain,
( spl6_284
| ~ spl6_48
| ~ spl6_60 ),
inference(avatar_split_clause,[],[f687,f667,f573,f4940]) ).
fof(f4940,plain,
( spl6_284
<=> ! [X0] :
( sdtasdt0(sK3(X0),sK4(sK3(X0),X0)) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(X0))
| sz10 = X0
| sz00 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_284])]) ).
fof(f687,plain,
( ! [X0] :
( sdtasdt0(sK3(X0),sK4(sK3(X0),X0)) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(X0))
| sz10 = X0
| sz00 = X0 )
| ~ spl6_48
| ~ spl6_60 ),
inference(duplicate_literal_removal,[],[f686]) ).
fof(f686,plain,
( ! [X0] :
( sdtasdt0(sK3(X0),sK4(sK3(X0),X0)) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(X0))
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl6_48
| ~ spl6_60 ),
inference(resolution,[],[f668,f574]) ).
fof(f4938,plain,
( spl6_283
| ~ spl6_53
| ~ spl6_57 ),
inference(avatar_split_clause,[],[f660,f612,f596,f4936]) ).
fof(f4936,plain,
( spl6_283
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X1,X0))
| ~ aNaturalNumber0(X1)
| sz10 = X1
| sdtasdt0(X1,X0) = X1
| ~ sP0(sdtasdt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_283])]) ).
fof(f660,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X1,X0))
| ~ aNaturalNumber0(X1)
| sz10 = X1
| sdtasdt0(X1,X0) = X1
| ~ sP0(sdtasdt0(X1,X0)) )
| ~ spl6_53
| ~ spl6_57 ),
inference(duplicate_literal_removal,[],[f657]) ).
fof(f657,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X1,X0))
| ~ aNaturalNumber0(X1)
| sz10 = X1
| sdtasdt0(X1,X0) = X1
| ~ aNaturalNumber0(X1)
| ~ sP0(sdtasdt0(X1,X0)) )
| ~ spl6_53
| ~ spl6_57 ),
inference(resolution,[],[f613,f597]) ).
fof(f4934,plain,
( spl6_282
| ~ spl6_41
| ~ spl6_44 ),
inference(avatar_split_clause,[],[f557,f494,f482,f4932]) ).
fof(f4932,plain,
( spl6_282
<=> ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X2,sdtmndt0(X1,X0)) = sdtasdt0(sdtmndt0(X1,X0),X2)
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_282])]) ).
fof(f557,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X2,sdtmndt0(X1,X0)) = sdtasdt0(sdtmndt0(X1,X0),X2)
| ~ aNaturalNumber0(X2) )
| ~ spl6_41
| ~ spl6_44 ),
inference(resolution,[],[f495,f483]) ).
fof(f4930,plain,
( spl6_281
| ~ spl6_26
| ~ spl6_136 ),
inference(avatar_split_clause,[],[f2152,f1830,f369,f4927]) ).
fof(f4927,plain,
( spl6_281
<=> xq = sdtpldt0(xq,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_281])]) ).
fof(f369,plain,
( spl6_26
<=> ! [X0] :
( sdtpldt0(X0,sz00) = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_26])]) ).
fof(f2152,plain,
( xq = sdtpldt0(xq,sz00)
| ~ spl6_26
| ~ spl6_136 ),
inference(resolution,[],[f1831,f370]) ).
fof(f370,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sz00) = X0 )
| ~ spl6_26 ),
inference(avatar_component_clause,[],[f369]) ).
fof(f4925,plain,
( spl6_280
| ~ spl6_40
| ~ spl6_44 ),
inference(avatar_split_clause,[],[f556,f494,f478,f4923]) ).
fof(f4923,plain,
( spl6_280
<=> ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X2,sdtmndt0(X1,X0)) = sdtpldt0(sdtmndt0(X1,X0),X2)
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_280])]) ).
fof(f556,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X2,sdtmndt0(X1,X0)) = sdtpldt0(sdtmndt0(X1,X0),X2)
| ~ aNaturalNumber0(X2) )
| ~ spl6_40
| ~ spl6_44 ),
inference(resolution,[],[f495,f479]) ).
fof(f4921,plain,
( spl6_279
| ~ spl6_41
| ~ spl6_43 ),
inference(avatar_split_clause,[],[f548,f490,f482,f4919]) ).
fof(f4919,plain,
( spl6_279
<=> ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X2,sK5(X0,X1)) = sdtasdt0(sK5(X0,X1),X2)
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_279])]) ).
fof(f548,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X2,sK5(X0,X1)) = sdtasdt0(sK5(X0,X1),X2)
| ~ aNaturalNumber0(X2) )
| ~ spl6_41
| ~ spl6_43 ),
inference(resolution,[],[f491,f483]) ).
fof(f4917,plain,
( spl6_278
| ~ spl6_40
| ~ spl6_43 ),
inference(avatar_split_clause,[],[f547,f490,f478,f4915]) ).
fof(f4915,plain,
( spl6_278
<=> ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X2,sK5(X0,X1)) = sdtpldt0(sK5(X0,X1),X2)
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_278])]) ).
fof(f547,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X2,sK5(X0,X1)) = sdtpldt0(sK5(X0,X1),X2)
| ~ aNaturalNumber0(X2) )
| ~ spl6_40
| ~ spl6_43 ),
inference(resolution,[],[f491,f479]) ).
fof(f4913,plain,
( spl6_277
| ~ spl6_41
| ~ spl6_42 ),
inference(avatar_split_clause,[],[f539,f486,f482,f4911]) ).
fof(f4911,plain,
( spl6_277
<=> ! [X2,X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X2,sK4(X0,X1)) = sdtasdt0(sK4(X0,X1),X2)
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_277])]) ).
fof(f539,plain,
( ! [X2,X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X2,sK4(X0,X1)) = sdtasdt0(sK4(X0,X1),X2)
| ~ aNaturalNumber0(X2) )
| ~ spl6_41
| ~ spl6_42 ),
inference(resolution,[],[f487,f483]) ).
fof(f4909,plain,
( spl6_276
| ~ spl6_40
| ~ spl6_42 ),
inference(avatar_split_clause,[],[f538,f486,f478,f4907]) ).
fof(f4907,plain,
( spl6_276
<=> ! [X2,X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X2,sK4(X0,X1)) = sdtpldt0(sK4(X0,X1),X2)
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_276])]) ).
fof(f538,plain,
( ! [X2,X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X2,sK4(X0,X1)) = sdtpldt0(sK4(X0,X1),X2)
| ~ aNaturalNumber0(X2) )
| ~ spl6_40
| ~ spl6_42 ),
inference(resolution,[],[f487,f479]) ).
fof(f4889,plain,
( spl6_275
| ~ spl6_2
| ~ spl6_123
| ~ spl6_136
| ~ spl6_251
| ~ spl6_274 ),
inference(avatar_split_clause,[],[f4884,f4880,f4226,f1830,f1593,f250,f4886]) ).
fof(f4880,plain,
( spl6_274
<=> sdtasdt0(xn,xn) = sdtasdt0(xp,sdtsldt0(sdtasdt0(xn,xn),xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_274])]) ).
fof(f4884,plain,
( sdtasdt0(xn,xn) = sdtasdt0(xp,sdtasdt0(xq,xn))
| ~ spl6_2
| ~ spl6_123
| ~ spl6_136
| ~ spl6_251
| ~ spl6_274 ),
inference(forward_demodulation,[],[f4882,f4253]) ).
fof(f4882,plain,
( sdtasdt0(xn,xn) = sdtasdt0(xp,sdtsldt0(sdtasdt0(xn,xn),xp))
| ~ spl6_274 ),
inference(avatar_component_clause,[],[f4880]) ).
fof(f4883,plain,
( ~ spl6_4
| ~ spl6_145
| spl6_11
| spl6_274
| ~ spl6_18
| ~ spl6_73 ),
inference(avatar_split_clause,[],[f845,f792,f334,f4880,f295,f1917,f260]) ).
fof(f845,plain,
( sdtasdt0(xn,xn) = sdtasdt0(xp,sdtsldt0(sdtasdt0(xn,xn),xp))
| sz00 = xp
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ aNaturalNumber0(xp)
| ~ spl6_18
| ~ spl6_73 ),
inference(resolution,[],[f793,f336]) ).
fof(f4838,plain,
( spl6_273
| ~ spl6_24
| ~ spl6_136 ),
inference(avatar_split_clause,[],[f2151,f1830,f360,f4835]) ).
fof(f4835,plain,
( spl6_273
<=> sz00 = sdtasdt0(sz00,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_273])]) ).
fof(f2151,plain,
( sz00 = sdtasdt0(sz00,xq)
| ~ spl6_24
| ~ spl6_136 ),
inference(resolution,[],[f1831,f361]) ).
fof(f4636,plain,
( spl6_272
| ~ spl6_29
| ~ spl6_63 ),
inference(avatar_split_clause,[],[f723,f679,f381,f4634]) ).
fof(f4634,plain,
( spl6_272
<=> ! [X0,X1] :
( ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtsldt0(X1,X0) = sdtasdt0(sz10,sdtsldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_272])]) ).
fof(f723,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtsldt0(X1,X0) = sdtasdt0(sz10,sdtsldt0(X1,X0)) )
| ~ spl6_29
| ~ spl6_63 ),
inference(resolution,[],[f680,f382]) ).
fof(f4632,plain,
( spl6_271
| ~ spl6_23
| ~ spl6_136 ),
inference(avatar_split_clause,[],[f2150,f1830,f356,f4629]) ).
fof(f4629,plain,
( spl6_271
<=> sz00 = sdtasdt0(xq,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_271])]) ).
fof(f2150,plain,
( sz00 = sdtasdt0(xq,sz00)
| ~ spl6_23
| ~ spl6_136 ),
inference(resolution,[],[f1831,f357]) ).
fof(f4627,plain,
( spl6_270
| ~ spl6_28
| ~ spl6_63 ),
inference(avatar_split_clause,[],[f722,f679,f377,f4625]) ).
fof(f4625,plain,
( spl6_270
<=> ! [X0,X1] :
( ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtsldt0(X1,X0) = sdtasdt0(sdtsldt0(X1,X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_270])]) ).
fof(f722,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtsldt0(X1,X0) = sdtasdt0(sdtsldt0(X1,X0),sz10) )
| ~ spl6_28
| ~ spl6_63 ),
inference(resolution,[],[f680,f378]) ).
fof(f4623,plain,
( spl6_269
| ~ spl6_27
| ~ spl6_63 ),
inference(avatar_split_clause,[],[f721,f679,f373,f4621]) ).
fof(f4621,plain,
( spl6_269
<=> ! [X0,X1] :
( ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtsldt0(X1,X0) = sdtpldt0(sz00,sdtsldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_269])]) ).
fof(f721,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtsldt0(X1,X0) = sdtpldt0(sz00,sdtsldt0(X1,X0)) )
| ~ spl6_27
| ~ spl6_63 ),
inference(resolution,[],[f680,f374]) ).
fof(f4619,plain,
( spl6_268
| ~ spl6_26
| ~ spl6_63 ),
inference(avatar_split_clause,[],[f720,f679,f369,f4617]) ).
fof(f4617,plain,
( spl6_268
<=> ! [X0,X1] :
( ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtsldt0(X1,X0) = sdtpldt0(sdtsldt0(X1,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_268])]) ).
fof(f720,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtsldt0(X1,X0) = sdtpldt0(sdtsldt0(X1,X0),sz00) )
| ~ spl6_26
| ~ spl6_63 ),
inference(resolution,[],[f680,f370]) ).
fof(f4615,plain,
( spl6_267
| ~ spl6_58
| ~ spl6_62 ),
inference(avatar_split_clause,[],[f713,f675,f616,f4613]) ).
fof(f4613,plain,
( spl6_267
<=> ! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X0,sdtmndt0(sdtpldt0(X0,X1),X0))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_267])]) ).
fof(f713,plain,
( ! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X0,sdtmndt0(sdtpldt0(X0,X1),X0))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl6_58
| ~ spl6_62 ),
inference(duplicate_literal_removal,[],[f708]) ).
fof(f708,plain,
( ! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X0,sdtmndt0(sdtpldt0(X0,X1),X0))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0) )
| ~ spl6_58
| ~ spl6_62 ),
inference(resolution,[],[f676,f617]) ).
fof(f4611,plain,
( spl6_266
| ~ spl6_58
| ~ spl6_61 ),
inference(avatar_split_clause,[],[f698,f671,f616,f4609]) ).
fof(f4609,plain,
( spl6_266
<=> ! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X0,sK5(X0,sdtpldt0(X0,X1)))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_266])]) ).
fof(f698,plain,
( ! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X0,sK5(X0,sdtpldt0(X0,X1)))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl6_58
| ~ spl6_61 ),
inference(duplicate_literal_removal,[],[f693]) ).
fof(f693,plain,
( ! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X0,sK5(X0,sdtpldt0(X0,X1)))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0) )
| ~ spl6_58
| ~ spl6_61 ),
inference(resolution,[],[f672,f617]) ).
fof(f4607,plain,
( spl6_265
| ~ spl6_57
| ~ spl6_60 ),
inference(avatar_split_clause,[],[f688,f667,f612,f4605]) ).
fof(f4605,plain,
( spl6_265
<=> ! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X0,sK4(X0,sdtasdt0(X0,X1)))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_265])]) ).
fof(f688,plain,
( ! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X0,sK4(X0,sdtasdt0(X0,X1)))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl6_57
| ~ spl6_60 ),
inference(duplicate_literal_removal,[],[f682]) ).
fof(f682,plain,
( ! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X0,sK4(X0,sdtasdt0(X0,X1)))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0) )
| ~ spl6_57
| ~ spl6_60 ),
inference(resolution,[],[f668,f613]) ).
fof(f4603,plain,
( spl6_264
| ~ spl6_38
| ~ spl6_41 ),
inference(avatar_split_clause,[],[f530,f482,f470,f4601]) ).
fof(f4601,plain,
( spl6_264
<=> ! [X0,X1] :
( sdtasdt0(X0,sK3(X1)) = sdtasdt0(sK3(X1),X0)
| ~ aNaturalNumber0(X0)
| sz10 = X1
| sz00 = X1
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_264])]) ).
fof(f530,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sK3(X1)) = sdtasdt0(sK3(X1),X0)
| ~ aNaturalNumber0(X0)
| sz10 = X1
| sz00 = X1
| ~ aNaturalNumber0(X1) )
| ~ spl6_38
| ~ spl6_41 ),
inference(resolution,[],[f483,f471]) ).
fof(f4599,plain,
( spl6_263
| ~ spl6_37
| ~ spl6_41 ),
inference(avatar_split_clause,[],[f529,f482,f466,f4597]) ).
fof(f4597,plain,
( spl6_263
<=> ! [X0,X1] :
( sdtasdt0(X0,sK2(X1)) = sdtasdt0(sK2(X1),X0)
| ~ aNaturalNumber0(X0)
| sP0(X1)
| sz10 = X1
| sz00 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_263])]) ).
fof(f529,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sK2(X1)) = sdtasdt0(sK2(X1),X0)
| ~ aNaturalNumber0(X0)
| sP0(X1)
| sz10 = X1
| sz00 = X1 )
| ~ spl6_37
| ~ spl6_41 ),
inference(resolution,[],[f483,f467]) ).
fof(f4595,plain,
( spl6_262
| ~ spl6_38
| ~ spl6_40 ),
inference(avatar_split_clause,[],[f521,f478,f470,f4593]) ).
fof(f4593,plain,
( spl6_262
<=> ! [X0,X1] :
( sdtpldt0(X0,sK3(X1)) = sdtpldt0(sK3(X1),X0)
| ~ aNaturalNumber0(X0)
| sz10 = X1
| sz00 = X1
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_262])]) ).
fof(f521,plain,
( ! [X0,X1] :
( sdtpldt0(X0,sK3(X1)) = sdtpldt0(sK3(X1),X0)
| ~ aNaturalNumber0(X0)
| sz10 = X1
| sz00 = X1
| ~ aNaturalNumber0(X1) )
| ~ spl6_38
| ~ spl6_40 ),
inference(resolution,[],[f479,f471]) ).
fof(f4591,plain,
( spl6_261
| ~ spl6_37
| ~ spl6_40 ),
inference(avatar_split_clause,[],[f520,f478,f466,f4589]) ).
fof(f4589,plain,
( spl6_261
<=> ! [X0,X1] :
( sdtpldt0(X0,sK2(X1)) = sdtpldt0(sK2(X1),X0)
| ~ aNaturalNumber0(X0)
| sP0(X1)
| sz10 = X1
| sz00 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_261])]) ).
fof(f520,plain,
( ! [X0,X1] :
( sdtpldt0(X0,sK2(X1)) = sdtpldt0(sK2(X1),X0)
| ~ aNaturalNumber0(X0)
| sP0(X1)
| sz10 = X1
| sz00 = X1 )
| ~ spl6_37
| ~ spl6_40 ),
inference(resolution,[],[f479,f467]) ).
fof(f4585,plain,
( ~ spl6_4
| ~ spl6_133
| spl6_210
| spl6_11
| ~ spl6_260
| ~ spl6_33
| ~ spl6_64 ),
inference(avatar_split_clause,[],[f739,f728,f442,f4582,f295,f3174,f1812,f260]) ).
fof(f739,plain,
( sz00 != sdtasdt0(xm,xm)
| sz00 = xp
| sz00 = sdtasdt0(xq,xq)
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ aNaturalNumber0(xp)
| ~ spl6_33
| ~ spl6_64 ),
inference(superposition,[],[f729,f444]) ).
fof(f4306,plain,
( spl6_259
| ~ spl6_57
| ~ spl6_87 ),
inference(avatar_split_clause,[],[f995,f979,f612,f4304]) ).
fof(f4304,plain,
( spl6_259
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtsldt0(sdtasdt0(X1,X0),X1) = X0
| sz00 = X1
| ~ aNaturalNumber0(sdtasdt0(X1,X0))
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_259])]) ).
fof(f995,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtsldt0(sdtasdt0(X1,X0),X1) = X0
| sz00 = X1
| ~ aNaturalNumber0(sdtasdt0(X1,X0))
| ~ aNaturalNumber0(X1) )
| ~ spl6_57
| ~ spl6_87 ),
inference(duplicate_literal_removal,[],[f992]) ).
fof(f992,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtsldt0(sdtasdt0(X1,X0),X1) = X0
| sz00 = X1
| ~ aNaturalNumber0(sdtasdt0(X1,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X1,X0))
| ~ aNaturalNumber0(X1) )
| ~ spl6_57
| ~ spl6_87 ),
inference(resolution,[],[f980,f613]) ).
fof(f4302,plain,
( spl6_258
| ~ spl6_58
| ~ spl6_66 ),
inference(avatar_split_clause,[],[f757,f736,f616,f4300]) ).
fof(f4300,plain,
( spl6_258
<=> ! [X2,X0,X1] :
( sdtlseqdt0(X0,sdtpldt0(X1,X2))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_258])]) ).
fof(f757,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(X0,sdtpldt0(X1,X2))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2) )
| ~ spl6_58
| ~ spl6_66 ),
inference(duplicate_literal_removal,[],[f752]) ).
fof(f752,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(X0,sdtpldt0(X1,X2))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X1) )
| ~ spl6_58
| ~ spl6_66 ),
inference(resolution,[],[f737,f617]) ).
fof(f4298,plain,
( spl6_257
| ~ spl6_5
| ~ spl6_24
| ~ spl6_94
| ~ spl6_136
| ~ spl6_251 ),
inference(avatar_split_clause,[],[f4247,f4226,f1830,f1029,f360,f265,f4295]) ).
fof(f4247,plain,
( sz00 = sdtsldt0(sz00,xp)
| ~ spl6_5
| ~ spl6_24
| ~ spl6_94
| ~ spl6_136
| ~ spl6_251 ),
inference(forward_demodulation,[],[f4246,f2151]) ).
fof(f4246,plain,
( sdtasdt0(sz00,xq) = sdtsldt0(sz00,xp)
| ~ spl6_5
| ~ spl6_94
| ~ spl6_251 ),
inference(forward_demodulation,[],[f4229,f1031]) ).
fof(f4229,plain,
( sdtasdt0(sz00,xq) = sdtsldt0(sdtasdt0(sz00,xn),xp)
| ~ spl6_5
| ~ spl6_251 ),
inference(resolution,[],[f4227,f267]) ).
fof(f4275,plain,
( ~ spl6_6
| spl6_256
| ~ spl6_36
| ~ spl6_66 ),
inference(avatar_split_clause,[],[f755,f736,f462,f4273,f270]) ).
fof(f4273,plain,
( spl6_256
<=> ! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sz00 = X1
| sz10 = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X0,sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_256])]) ).
fof(f462,plain,
( spl6_36
<=> ! [X0] :
( sdtlseqdt0(sz10,X0)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_36])]) ).
fof(f755,plain,
( ! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| sz10 = X1
| sz00 = X1 )
| ~ spl6_36
| ~ spl6_66 ),
inference(duplicate_literal_removal,[],[f754]) ).
fof(f754,plain,
( ! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| sz10 = X1
| sz00 = X1
| ~ aNaturalNumber0(X1) )
| ~ spl6_36
| ~ spl6_66 ),
inference(resolution,[],[f737,f463]) ).
fof(f463,plain,
( ! [X0] :
( sdtlseqdt0(sz10,X0)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl6_36 ),
inference(avatar_component_clause,[],[f462]) ).
fof(f4271,plain,
( spl6_255
| ~ spl6_57
| ~ spl6_65 ),
inference(avatar_split_clause,[],[f747,f732,f612,f4269]) ).
fof(f4269,plain,
( spl6_255
<=> ! [X2,X0,X1] :
( doDivides0(X0,sdtasdt0(X1,X2))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_255])]) ).
fof(f747,plain,
( ! [X2,X0,X1] :
( doDivides0(X0,sdtasdt0(X1,X2))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2) )
| ~ spl6_57
| ~ spl6_65 ),
inference(duplicate_literal_removal,[],[f741]) ).
fof(f741,plain,
( ! [X2,X0,X1] :
( doDivides0(X0,sdtasdt0(X1,X2))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1) )
| ~ spl6_57
| ~ spl6_65 ),
inference(resolution,[],[f733,f613]) ).
fof(f4267,plain,
( spl6_254
| ~ spl6_56
| ~ spl6_58 ),
inference(avatar_split_clause,[],[f665,f616,f608,f4265]) ).
fof(f4265,plain,
( spl6_254
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X1,X0))
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,X0) = X1
| ~ sdtlseqdt0(sdtpldt0(X1,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_254])]) ).
fof(f665,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X1,X0))
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,X0) = X1
| ~ sdtlseqdt0(sdtpldt0(X1,X0),X1) )
| ~ spl6_56
| ~ spl6_58 ),
inference(duplicate_literal_removal,[],[f662]) ).
fof(f662,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X1,X0))
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,X0) = X1
| ~ sdtlseqdt0(sdtpldt0(X1,X0),X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sdtpldt0(X1,X0)) )
| ~ spl6_56
| ~ spl6_58 ),
inference(resolution,[],[f617,f609]) ).
fof(f4263,plain,
( spl6_253
| ~ spl6_54
| ~ spl6_58 ),
inference(avatar_split_clause,[],[f664,f616,f600,f4261]) ).
fof(f4261,plain,
( spl6_253
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X1,X0))
| ~ aNaturalNumber0(X1)
| iLess0(X1,sdtpldt0(X1,X0))
| sdtpldt0(X1,X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_253])]) ).
fof(f664,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X1,X0))
| ~ aNaturalNumber0(X1)
| iLess0(X1,sdtpldt0(X1,X0))
| sdtpldt0(X1,X0) = X1 )
| ~ spl6_54
| ~ spl6_58 ),
inference(duplicate_literal_removal,[],[f663]) ).
fof(f663,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X1,X0))
| ~ aNaturalNumber0(X1)
| iLess0(X1,sdtpldt0(X1,X0))
| sdtpldt0(X1,X0) = X1
| ~ aNaturalNumber0(sdtpldt0(X1,X0))
| ~ aNaturalNumber0(X1) )
| ~ spl6_54
| ~ spl6_58 ),
inference(resolution,[],[f617,f601]) ).
fof(f4259,plain,
( spl6_252
| ~ spl6_55
| ~ spl6_57 ),
inference(avatar_split_clause,[],[f661,f612,f604,f4257]) ).
fof(f4257,plain,
( spl6_252
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X1,X0))
| ~ aNaturalNumber0(X1)
| sz00 = sdtasdt0(X1,X0)
| sdtlseqdt0(X1,sdtasdt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_252])]) ).
fof(f661,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X1,X0))
| ~ aNaturalNumber0(X1)
| sz00 = sdtasdt0(X1,X0)
| sdtlseqdt0(X1,sdtasdt0(X1,X0)) )
| ~ spl6_55
| ~ spl6_57 ),
inference(duplicate_literal_removal,[],[f656]) ).
fof(f656,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X1,X0))
| ~ aNaturalNumber0(X1)
| sz00 = sdtasdt0(X1,X0)
| sdtlseqdt0(X1,sdtasdt0(X1,X0))
| ~ aNaturalNumber0(sdtasdt0(X1,X0))
| ~ aNaturalNumber0(X1) )
| ~ spl6_55
| ~ spl6_57 ),
inference(resolution,[],[f613,f605]) ).
fof(f4228,plain,
( ~ spl6_4
| ~ spl6_2
| spl6_11
| spl6_251
| ~ spl6_14
| ~ spl6_17
| ~ spl6_86 ),
inference(avatar_split_clause,[],[f991,f975,f329,f310,f4226,f295,f250,f260]) ).
fof(f310,plain,
( spl6_14
<=> doDivides0(xp,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_14])]) ).
fof(f329,plain,
( spl6_17
<=> xq = sdtsldt0(xn,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_17])]) ).
fof(f991,plain,
( ! [X0] :
( sdtsldt0(sdtasdt0(X0,xn),xp) = sdtasdt0(X0,xq)
| ~ aNaturalNumber0(X0)
| sz00 = xp
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xp) )
| ~ spl6_14
| ~ spl6_17
| ~ spl6_86 ),
inference(forward_demodulation,[],[f984,f331]) ).
fof(f331,plain,
( xq = sdtsldt0(xn,xp)
| ~ spl6_17 ),
inference(avatar_component_clause,[],[f329]) ).
fof(f984,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(xn,xp)) = sdtsldt0(sdtasdt0(X0,xn),xp)
| sz00 = xp
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xp) )
| ~ spl6_14
| ~ spl6_86 ),
inference(resolution,[],[f976,f312]) ).
fof(f312,plain,
( doDivides0(xp,xn)
| ~ spl6_14 ),
inference(avatar_component_clause,[],[f310]) ).
fof(f3959,plain,
( spl6_250
| ~ spl6_6
| ~ spl6_81 ),
inference(avatar_split_clause,[],[f916,f873,f270,f3957]) ).
fof(f3957,plain,
( spl6_250
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,sz10),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sz10,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_250])]) ).
fof(f916,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,sz10),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sz10,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl6_6
| ~ spl6_81 ),
inference(resolution,[],[f874,f272]) ).
fof(f3955,plain,
( ~ spl6_6
| spl6_249
| ~ spl6_57
| ~ spl6_116 ),
inference(avatar_split_clause,[],[f1530,f1400,f612,f3952,f270]) ).
fof(f3952,plain,
( spl6_249
<=> doDivides0(sz10,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_249])]) ).
fof(f1400,plain,
( spl6_116
<=> sz10 = sdtasdt0(sz10,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_116])]) ).
fof(f1530,plain,
( doDivides0(sz10,sz10)
| ~ aNaturalNumber0(sz10)
| ~ spl6_57
| ~ spl6_116 ),
inference(duplicate_literal_removal,[],[f1508]) ).
fof(f1508,plain,
( doDivides0(sz10,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz10)
| ~ spl6_57
| ~ spl6_116 ),
inference(superposition,[],[f613,f1402]) ).
fof(f1402,plain,
( sz10 = sdtasdt0(sz10,sz10)
| ~ spl6_116 ),
inference(avatar_component_clause,[],[f1400]) ).
fof(f3950,plain,
( spl6_248
| ~ spl6_5
| ~ spl6_81 ),
inference(avatar_split_clause,[],[f915,f873,f265,f3948]) ).
fof(f3948,plain,
( spl6_248
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,sz00),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sz00,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_248])]) ).
fof(f915,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,sz00),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sz00,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl6_5
| ~ spl6_81 ),
inference(resolution,[],[f874,f267]) ).
fof(f3946,plain,
( spl6_247
| ~ spl6_6
| ~ spl6_80 ),
inference(avatar_split_clause,[],[f903,f869,f270,f3944]) ).
fof(f3944,plain,
( spl6_247
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sz10)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_247])]) ).
fof(f903,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sz10)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_6
| ~ spl6_80 ),
inference(resolution,[],[f870,f272]) ).
fof(f3942,plain,
( spl6_246
| ~ spl6_5
| ~ spl6_80 ),
inference(avatar_split_clause,[],[f902,f869,f265,f3940]) ).
fof(f3940,plain,
( spl6_246
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sz00)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz00))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_246])]) ).
fof(f902,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sz00)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz00))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_5
| ~ spl6_80 ),
inference(resolution,[],[f870,f267]) ).
fof(f3938,plain,
( spl6_245
| ~ spl6_24
| ~ spl6_63 ),
inference(avatar_split_clause,[],[f719,f679,f360,f3936]) ).
fof(f3936,plain,
( spl6_245
<=> ! [X0,X1] :
( ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtsldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_245])]) ).
fof(f719,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtsldt0(X1,X0)) )
| ~ spl6_24
| ~ spl6_63 ),
inference(resolution,[],[f680,f361]) ).
fof(f3934,plain,
( spl6_244
| ~ spl6_23
| ~ spl6_63 ),
inference(avatar_split_clause,[],[f718,f679,f356,f3932]) ).
fof(f3932,plain,
( spl6_244
<=> ! [X0,X1] :
( ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtsldt0(X1,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_244])]) ).
fof(f718,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtsldt0(X1,X0),sz00) )
| ~ spl6_23
| ~ spl6_63 ),
inference(resolution,[],[f680,f357]) ).
fof(f3913,plain,
( ~ spl6_6
| spl6_243
| ~ spl6_36
| ~ spl6_62 ),
inference(avatar_split_clause,[],[f711,f675,f462,f3911,f270]) ).
fof(f3911,plain,
( spl6_243
<=> ! [X0] :
( sdtpldt0(sz10,sdtmndt0(X0,sz10)) = X0
| sz00 = X0
| sz10 = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_243])]) ).
fof(f711,plain,
( ! [X0] :
( sdtpldt0(sz10,sdtmndt0(X0,sz10)) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10)
| sz10 = X0
| sz00 = X0 )
| ~ spl6_36
| ~ spl6_62 ),
inference(duplicate_literal_removal,[],[f710]) ).
fof(f710,plain,
( ! [X0] :
( sdtpldt0(sz10,sdtmndt0(X0,sz10)) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl6_36
| ~ spl6_62 ),
inference(resolution,[],[f676,f463]) ).
fof(f3892,plain,
( ~ spl6_6
| spl6_242
| ~ spl6_36
| ~ spl6_61 ),
inference(avatar_split_clause,[],[f696,f671,f462,f3890,f270]) ).
fof(f3890,plain,
( spl6_242
<=> ! [X0] :
( sdtpldt0(sz10,sK5(sz10,X0)) = X0
| sz00 = X0
| sz10 = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_242])]) ).
fof(f696,plain,
( ! [X0] :
( sdtpldt0(sz10,sK5(sz10,X0)) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10)
| sz10 = X0
| sz00 = X0 )
| ~ spl6_36
| ~ spl6_61 ),
inference(duplicate_literal_removal,[],[f695]) ).
fof(f695,plain,
( ! [X0] :
( sdtpldt0(sz10,sK5(sz10,X0)) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl6_36
| ~ spl6_61 ),
inference(resolution,[],[f672,f463]) ).
fof(f3888,plain,
( spl6_241
| ~ spl6_45
| ~ spl6_55 ),
inference(avatar_split_clause,[],[f644,f604,f559,f3886]) ).
fof(f3886,plain,
( spl6_241
<=> ! [X0] :
( sz00 = X0
| sdtlseqdt0(sK2(X0),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(X0))
| sP0(X0)
| sz10 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_241])]) ).
fof(f644,plain,
( ! [X0] :
( sz00 = X0
| sdtlseqdt0(sK2(X0),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(X0))
| sP0(X0)
| sz10 = X0 )
| ~ spl6_45
| ~ spl6_55 ),
inference(duplicate_literal_removal,[],[f641]) ).
fof(f641,plain,
( ! [X0] :
( sz00 = X0
| sdtlseqdt0(sK2(X0),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(X0))
| sP0(X0)
| sz10 = X0
| sz00 = X0 )
| ~ spl6_45
| ~ spl6_55 ),
inference(resolution,[],[f605,f560]) ).
fof(f3861,plain,
( spl6_240
| ~ spl6_32
| ~ spl6_41 ),
inference(avatar_split_clause,[],[f525,f482,f424,f3859]) ).
fof(f3859,plain,
( spl6_240
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X1,X2),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_240])]) ).
fof(f525,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X1,X2),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| ~ spl6_32
| ~ spl6_41 ),
inference(resolution,[],[f483,f425]) ).
fof(f3857,plain,
( spl6_239
| ~ spl6_31
| ~ spl6_41 ),
inference(avatar_split_clause,[],[f524,f482,f420,f3855]) ).
fof(f3855,plain,
( spl6_239
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtasdt0(sdtpldt0(X1,X2),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_239])]) ).
fof(f524,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtasdt0(sdtpldt0(X1,X2),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| ~ spl6_31
| ~ spl6_41 ),
inference(resolution,[],[f483,f421]) ).
fof(f3853,plain,
( spl6_238
| ~ spl6_32
| ~ spl6_40 ),
inference(avatar_split_clause,[],[f516,f478,f424,f3851]) ).
fof(f3851,plain,
( spl6_238
<=> ! [X2,X0,X1] :
( sdtpldt0(X0,sdtasdt0(X1,X2)) = sdtpldt0(sdtasdt0(X1,X2),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_238])]) ).
fof(f516,plain,
( ! [X2,X0,X1] :
( sdtpldt0(X0,sdtasdt0(X1,X2)) = sdtpldt0(sdtasdt0(X1,X2),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| ~ spl6_32
| ~ spl6_40 ),
inference(resolution,[],[f479,f425]) ).
fof(f3849,plain,
( spl6_237
| ~ spl6_31
| ~ spl6_40 ),
inference(avatar_split_clause,[],[f515,f478,f420,f3847]) ).
fof(f3847,plain,
( spl6_237
<=> ! [X2,X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X1,X2),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_237])]) ).
fof(f515,plain,
( ! [X2,X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X1,X2),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| ~ spl6_31
| ~ spl6_40 ),
inference(resolution,[],[f479,f421]) ).
fof(f3711,plain,
( ~ spl6_5
| spl6_236
| ~ spl6_57
| ~ spl6_110 ),
inference(avatar_split_clause,[],[f1419,f1370,f612,f3708,f265]) ).
fof(f1419,plain,
( doDivides0(sz00,sz00)
| ~ aNaturalNumber0(sz00)
| ~ spl6_57
| ~ spl6_110 ),
inference(duplicate_literal_removal,[],[f1406]) ).
fof(f1406,plain,
( doDivides0(sz00,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz00)
| ~ spl6_57
| ~ spl6_110 ),
inference(superposition,[],[f613,f1372]) ).
fof(f3706,plain,
( spl6_235
| ~ spl6_4
| ~ spl6_81 ),
inference(avatar_split_clause,[],[f923,f873,f260,f3704]) ).
fof(f3704,plain,
( spl6_235
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,xp),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(xp,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_235])]) ).
fof(f923,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,xp),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(xp,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl6_4
| ~ spl6_81 ),
inference(resolution,[],[f874,f262]) ).
fof(f3702,plain,
( spl6_234
| ~ spl6_3
| ~ spl6_81 ),
inference(avatar_split_clause,[],[f922,f873,f255,f3700]) ).
fof(f3700,plain,
( spl6_234
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,xm),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(xm,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_234])]) ).
fof(f922,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,xm),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(xm,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl6_3
| ~ spl6_81 ),
inference(resolution,[],[f874,f257]) ).
fof(f3698,plain,
( spl6_233
| ~ spl6_2
| ~ spl6_81 ),
inference(avatar_split_clause,[],[f921,f873,f250,f3696]) ).
fof(f3696,plain,
( spl6_233
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,xn),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(xn,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_233])]) ).
fof(f921,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,xn),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(xn,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl6_2
| ~ spl6_81 ),
inference(resolution,[],[f874,f252]) ).
fof(f3694,plain,
( spl6_232
| ~ spl6_4
| ~ spl6_80 ),
inference(avatar_split_clause,[],[f910,f869,f260,f3692]) ).
fof(f3692,plain,
( spl6_232
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xp)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xp))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_232])]) ).
fof(f910,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xp)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xp))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_4
| ~ spl6_80 ),
inference(resolution,[],[f870,f262]) ).
fof(f3690,plain,
( spl6_231
| ~ spl6_3
| ~ spl6_80 ),
inference(avatar_split_clause,[],[f909,f869,f255,f3688]) ).
fof(f3688,plain,
( spl6_231
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xm)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xm))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_231])]) ).
fof(f909,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xm)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xm))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_3
| ~ spl6_80 ),
inference(resolution,[],[f870,f257]) ).
fof(f3686,plain,
( spl6_230
| ~ spl6_2
| ~ spl6_80 ),
inference(avatar_split_clause,[],[f908,f869,f250,f3684]) ).
fof(f3684,plain,
( spl6_230
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xn)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xn))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_230])]) ).
fof(f908,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xn)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xn))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_2
| ~ spl6_80 ),
inference(resolution,[],[f870,f252]) ).
fof(f3668,plain,
( ~ spl6_4
| ~ spl6_145
| spl6_229
| ~ spl6_18
| ~ spl6_60 ),
inference(avatar_split_clause,[],[f684,f667,f334,f3665,f1917,f260]) ).
fof(f3665,plain,
( spl6_229
<=> sdtasdt0(xn,xn) = sdtasdt0(xp,sK4(xp,sdtasdt0(xn,xn))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_229])]) ).
fof(f684,plain,
( sdtasdt0(xn,xn) = sdtasdt0(xp,sK4(xp,sdtasdt0(xn,xn)))
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ aNaturalNumber0(xp)
| ~ spl6_18
| ~ spl6_60 ),
inference(resolution,[],[f668,f336]) ).
fof(f3373,plain,
( ~ spl6_136
| spl6_228
| ~ spl6_64
| ~ spl6_210 ),
inference(avatar_split_clause,[],[f3211,f3174,f728,f3370,f1830]) ).
fof(f3211,plain,
( sz00 = xq
| ~ aNaturalNumber0(xq)
| ~ spl6_64
| ~ spl6_210 ),
inference(trivial_inequality_removal,[],[f3210]) ).
fof(f3210,plain,
( sz00 != sz00
| sz00 = xq
| ~ aNaturalNumber0(xq)
| ~ spl6_64
| ~ spl6_210 ),
inference(duplicate_literal_removal,[],[f3188]) ).
fof(f3188,plain,
( sz00 != sz00
| sz00 = xq
| sz00 = xq
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xq)
| ~ spl6_64
| ~ spl6_210 ),
inference(superposition,[],[f729,f3176]) ).
fof(f3326,plain,
( spl6_227
| ~ spl6_57
| ~ spl6_82 ),
inference(avatar_split_clause,[],[f935,f877,f612,f3324]) ).
fof(f3324,plain,
( spl6_227
<=> ! [X0,X1] :
( doDivides0(X0,X0)
| doDivides0(X0,X1)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_227])]) ).
fof(f935,plain,
( ! [X0,X1] :
( doDivides0(X0,X0)
| doDivides0(X0,X1)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) )
| ~ spl6_57
| ~ spl6_82 ),
inference(duplicate_literal_removal,[],[f928]) ).
fof(f928,plain,
( ! [X0,X1] :
( doDivides0(X0,X0)
| doDivides0(X0,X1)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0) )
| ~ spl6_57
| ~ spl6_82 ),
inference(resolution,[],[f878,f613]) ).
fof(f3322,plain,
( spl6_226
| ~ spl6_29
| ~ spl6_44 ),
inference(avatar_split_clause,[],[f555,f494,f381,f3320]) ).
fof(f3320,plain,
( spl6_226
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtmndt0(X1,X0) = sdtasdt0(sz10,sdtmndt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_226])]) ).
fof(f555,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtmndt0(X1,X0) = sdtasdt0(sz10,sdtmndt0(X1,X0)) )
| ~ spl6_29
| ~ spl6_44 ),
inference(resolution,[],[f495,f382]) ).
fof(f3318,plain,
( spl6_225
| ~ spl6_28
| ~ spl6_44 ),
inference(avatar_split_clause,[],[f554,f494,f377,f3316]) ).
fof(f3316,plain,
( spl6_225
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtmndt0(X1,X0) = sdtasdt0(sdtmndt0(X1,X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_225])]) ).
fof(f554,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtmndt0(X1,X0) = sdtasdt0(sdtmndt0(X1,X0),sz10) )
| ~ spl6_28
| ~ spl6_44 ),
inference(resolution,[],[f495,f378]) ).
fof(f3314,plain,
( spl6_224
| ~ spl6_27
| ~ spl6_44 ),
inference(avatar_split_clause,[],[f553,f494,f373,f3312]) ).
fof(f3312,plain,
( spl6_224
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtmndt0(X1,X0) = sdtpldt0(sz00,sdtmndt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_224])]) ).
fof(f553,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtmndt0(X1,X0) = sdtpldt0(sz00,sdtmndt0(X1,X0)) )
| ~ spl6_27
| ~ spl6_44 ),
inference(resolution,[],[f495,f374]) ).
fof(f3310,plain,
( spl6_223
| ~ spl6_26
| ~ spl6_44 ),
inference(avatar_split_clause,[],[f552,f494,f369,f3308]) ).
fof(f3308,plain,
( spl6_223
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtmndt0(X1,X0) = sdtpldt0(sdtmndt0(X1,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_223])]) ).
fof(f552,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtmndt0(X1,X0) = sdtpldt0(sdtmndt0(X1,X0),sz00) )
| ~ spl6_26
| ~ spl6_44 ),
inference(resolution,[],[f495,f370]) ).
fof(f3306,plain,
( spl6_222
| ~ spl6_29
| ~ spl6_43 ),
inference(avatar_split_clause,[],[f546,f490,f381,f3304]) ).
fof(f3304,plain,
( spl6_222
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK5(X0,X1) = sdtasdt0(sz10,sK5(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_222])]) ).
fof(f546,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK5(X0,X1) = sdtasdt0(sz10,sK5(X0,X1)) )
| ~ spl6_29
| ~ spl6_43 ),
inference(resolution,[],[f491,f382]) ).
fof(f3302,plain,
( spl6_221
| ~ spl6_28
| ~ spl6_43 ),
inference(avatar_split_clause,[],[f545,f490,f377,f3300]) ).
fof(f3300,plain,
( spl6_221
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK5(X0,X1) = sdtasdt0(sK5(X0,X1),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_221])]) ).
fof(f545,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK5(X0,X1) = sdtasdt0(sK5(X0,X1),sz10) )
| ~ spl6_28
| ~ spl6_43 ),
inference(resolution,[],[f491,f378]) ).
fof(f3292,plain,
( spl6_220
| ~ spl6_27
| ~ spl6_43 ),
inference(avatar_split_clause,[],[f544,f490,f373,f3290]) ).
fof(f3290,plain,
( spl6_220
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK5(X0,X1) = sdtpldt0(sz00,sK5(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_220])]) ).
fof(f544,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK5(X0,X1) = sdtpldt0(sz00,sK5(X0,X1)) )
| ~ spl6_27
| ~ spl6_43 ),
inference(resolution,[],[f491,f374]) ).
fof(f3288,plain,
( spl6_219
| ~ spl6_26
| ~ spl6_43 ),
inference(avatar_split_clause,[],[f543,f490,f369,f3286]) ).
fof(f3286,plain,
( spl6_219
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK5(X0,X1) = sdtpldt0(sK5(X0,X1),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_219])]) ).
fof(f543,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK5(X0,X1) = sdtpldt0(sK5(X0,X1),sz00) )
| ~ spl6_26
| ~ spl6_43 ),
inference(resolution,[],[f491,f370]) ).
fof(f3284,plain,
( spl6_218
| ~ spl6_29
| ~ spl6_42 ),
inference(avatar_split_clause,[],[f537,f486,f381,f3282]) ).
fof(f3282,plain,
( spl6_218
<=> ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK4(X0,X1) = sdtasdt0(sz10,sK4(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_218])]) ).
fof(f537,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK4(X0,X1) = sdtasdt0(sz10,sK4(X0,X1)) )
| ~ spl6_29
| ~ spl6_42 ),
inference(resolution,[],[f487,f382]) ).
fof(f3280,plain,
( spl6_217
| ~ spl6_28
| ~ spl6_42 ),
inference(avatar_split_clause,[],[f536,f486,f377,f3278]) ).
fof(f3278,plain,
( spl6_217
<=> ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK4(X0,X1) = sdtasdt0(sK4(X0,X1),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_217])]) ).
fof(f536,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK4(X0,X1) = sdtasdt0(sK4(X0,X1),sz10) )
| ~ spl6_28
| ~ spl6_42 ),
inference(resolution,[],[f487,f378]) ).
fof(f3276,plain,
( spl6_216
| ~ spl6_27
| ~ spl6_42 ),
inference(avatar_split_clause,[],[f535,f486,f373,f3274]) ).
fof(f3274,plain,
( spl6_216
<=> ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK4(X0,X1) = sdtpldt0(sz00,sK4(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_216])]) ).
fof(f535,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK4(X0,X1) = sdtpldt0(sz00,sK4(X0,X1)) )
| ~ spl6_27
| ~ spl6_42 ),
inference(resolution,[],[f487,f374]) ).
fof(f3272,plain,
( spl6_215
| ~ spl6_26
| ~ spl6_42 ),
inference(avatar_split_clause,[],[f534,f486,f369,f3270]) ).
fof(f3270,plain,
( spl6_215
<=> ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK4(X0,X1) = sdtpldt0(sK4(X0,X1),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_215])]) ).
fof(f534,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK4(X0,X1) = sdtpldt0(sK4(X0,X1),sz00) )
| ~ spl6_26
| ~ spl6_42 ),
inference(resolution,[],[f487,f370]) ).
fof(f3250,plain,
( ~ spl6_4
| ~ spl6_145
| spl6_214
| ~ spl6_18
| ~ spl6_65 ),
inference(avatar_split_clause,[],[f743,f732,f334,f3248,f1917,f260]) ).
fof(f3248,plain,
( spl6_214
<=> ! [X0] :
( doDivides0(X0,sdtasdt0(xn,xn))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_214])]) ).
fof(f743,plain,
( ! [X0] :
( doDivides0(X0,sdtasdt0(xn,xn))
| ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) )
| ~ spl6_18
| ~ spl6_65 ),
inference(resolution,[],[f733,f336]) ).
fof(f3236,plain,
( ~ spl6_4
| ~ spl6_145
| spl6_212
| spl6_213
| ~ spl6_18
| ~ spl6_55 ),
inference(avatar_split_clause,[],[f640,f604,f334,f3233,f3229,f1917,f260]) ).
fof(f3229,plain,
( spl6_212
<=> sdtlseqdt0(xp,sdtasdt0(xn,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_212])]) ).
fof(f3233,plain,
( spl6_213
<=> sz00 = sdtasdt0(xn,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_213])]) ).
fof(f640,plain,
( sz00 = sdtasdt0(xn,xn)
| sdtlseqdt0(xp,sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ aNaturalNumber0(xp)
| ~ spl6_18
| ~ spl6_55 ),
inference(resolution,[],[f605,f336]) ).
fof(f3181,plain,
( ~ spl6_133
| ~ spl6_4
| spl6_210
| spl6_211
| ~ spl6_33
| ~ spl6_49 ),
inference(avatar_split_clause,[],[f588,f577,f442,f3178,f3174,f260,f1812]) ).
fof(f588,plain,
( sdtlseqdt0(xp,sdtasdt0(xm,xm))
| sz00 = sdtasdt0(xq,xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ spl6_33
| ~ spl6_49 ),
inference(superposition,[],[f578,f444]) ).
fof(f3025,plain,
( spl6_208
| ~ spl6_209
| ~ spl6_22
| ~ spl6_164 ),
inference(avatar_split_clause,[],[f2358,f2219,f352,f3022,f3018]) ).
fof(f3018,plain,
( spl6_208
<=> isPrime0(xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_208])]) ).
fof(f3022,plain,
( spl6_209
<=> sP0(xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_209])]) ).
fof(f352,plain,
( spl6_22
<=> ! [X0] :
( isPrime0(X0)
| ~ sP0(X0)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_22])]) ).
fof(f2219,plain,
( spl6_164
<=> sP1(xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_164])]) ).
fof(f2358,plain,
( ~ sP0(xq)
| isPrime0(xq)
| ~ spl6_22
| ~ spl6_164 ),
inference(resolution,[],[f2221,f353]) ).
fof(f353,plain,
( ! [X0] :
( ~ sP1(X0)
| ~ sP0(X0)
| isPrime0(X0) )
| ~ spl6_22 ),
inference(avatar_component_clause,[],[f352]) ).
fof(f2221,plain,
( sP1(xq)
| ~ spl6_164 ),
inference(avatar_component_clause,[],[f2219]) ).
fof(f2906,plain,
( spl6_207
| ~ spl6_58
| ~ spl6_83 ),
inference(avatar_split_clause,[],[f947,f937,f616,f2904]) ).
fof(f937,plain,
( spl6_83
<=> ! [X2,X0] :
( sdtmndt0(sdtpldt0(X0,X2),X0) = X2
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X0,sdtpldt0(X0,X2))
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_83])]) ).
fof(f947,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtmndt0(sdtpldt0(X1,X0),X1) = X0
| ~ aNaturalNumber0(sdtpldt0(X1,X0))
| ~ aNaturalNumber0(X1) )
| ~ spl6_58
| ~ spl6_83 ),
inference(duplicate_literal_removal,[],[f940]) ).
fof(f940,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtmndt0(sdtpldt0(X1,X0),X1) = X0
| ~ aNaturalNumber0(sdtpldt0(X1,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X1,X0))
| ~ aNaturalNumber0(X1) )
| ~ spl6_58
| ~ spl6_83 ),
inference(resolution,[],[f938,f617]) ).
fof(f938,plain,
( ! [X2,X0] :
( ~ sdtlseqdt0(X0,sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X2)
| sdtmndt0(sdtpldt0(X0,X2),X0) = X2
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X0) )
| ~ spl6_83 ),
inference(avatar_component_clause,[],[f937]) ).
fof(f2900,plain,
( spl6_206
| ~ spl6_6
| ~ spl6_70 ),
inference(avatar_split_clause,[],[f809,f780,f270,f2898]) ).
fof(f2898,plain,
( spl6_206
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sz10) = sdtasdt0(X0,sdtasdt0(X1,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_206])]) ).
fof(f809,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sz10) = sdtasdt0(X0,sdtasdt0(X1,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_6
| ~ spl6_70 ),
inference(resolution,[],[f781,f272]) ).
fof(f2896,plain,
( spl6_205
| ~ spl6_5
| ~ spl6_70 ),
inference(avatar_split_clause,[],[f808,f780,f265,f2894]) ).
fof(f2894,plain,
( spl6_205
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sz00) = sdtasdt0(X0,sdtasdt0(X1,sz00))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_205])]) ).
fof(f808,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sz00) = sdtasdt0(X0,sdtasdt0(X1,sz00))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_5
| ~ spl6_70 ),
inference(resolution,[],[f781,f267]) ).
fof(f2892,plain,
( spl6_204
| ~ spl6_6
| ~ spl6_69 ),
inference(avatar_split_clause,[],[f796,f776,f270,f2890]) ).
fof(f2890,plain,
( spl6_204
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sz10) = sdtpldt0(X0,sdtpldt0(X1,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_204])]) ).
fof(f796,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sz10) = sdtpldt0(X0,sdtpldt0(X1,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_6
| ~ spl6_69 ),
inference(resolution,[],[f777,f272]) ).
fof(f2888,plain,
( spl6_203
| ~ spl6_5
| ~ spl6_69 ),
inference(avatar_split_clause,[],[f795,f776,f265,f2886]) ).
fof(f2886,plain,
( spl6_203
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(X0,sdtpldt0(X1,sz00))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_203])]) ).
fof(f795,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(X0,sdtpldt0(X1,sz00))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_5
| ~ spl6_69 ),
inference(resolution,[],[f777,f267]) ).
fof(f2884,plain,
( spl6_202
| ~ spl6_35
| ~ spl6_66 ),
inference(avatar_split_clause,[],[f759,f736,f454,f2882]) ).
fof(f2882,plain,
( spl6_202
<=> ! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_202])]) ).
fof(f454,plain,
( spl6_35
<=> ! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_35])]) ).
fof(f759,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X2) )
| ~ spl6_35
| ~ spl6_66 ),
inference(duplicate_literal_removal,[],[f750]) ).
fof(f750,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) )
| ~ spl6_35
| ~ spl6_66 ),
inference(resolution,[],[f737,f455]) ).
fof(f455,plain,
( ! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_35 ),
inference(avatar_component_clause,[],[f454]) ).
fof(f2880,plain,
( spl6_201
| ~ spl6_48
| ~ spl6_55 ),
inference(avatar_split_clause,[],[f643,f604,f573,f2878]) ).
fof(f2878,plain,
( spl6_201
<=> ! [X0] :
( sz00 = X0
| sdtlseqdt0(sK3(X0),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(X0))
| sz10 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_201])]) ).
fof(f643,plain,
( ! [X0] :
( sz00 = X0
| sdtlseqdt0(sK3(X0),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(X0))
| sz10 = X0 )
| ~ spl6_48
| ~ spl6_55 ),
inference(duplicate_literal_removal,[],[f642]) ).
fof(f642,plain,
( ! [X0] :
( sz00 = X0
| sdtlseqdt0(sK3(X0),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(X0))
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl6_48
| ~ spl6_55 ),
inference(resolution,[],[f605,f574]) ).
fof(f2876,plain,
( spl6_200
| ~ spl6_29
| ~ spl6_38 ),
inference(avatar_split_clause,[],[f512,f470,f381,f2874]) ).
fof(f2874,plain,
( spl6_200
<=> ! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sK3(X0) = sdtasdt0(sz10,sK3(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_200])]) ).
fof(f512,plain,
( ! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sK3(X0) = sdtasdt0(sz10,sK3(X0)) )
| ~ spl6_29
| ~ spl6_38 ),
inference(resolution,[],[f471,f382]) ).
fof(f2872,plain,
( spl6_199
| ~ spl6_28
| ~ spl6_38 ),
inference(avatar_split_clause,[],[f511,f470,f377,f2870]) ).
fof(f2870,plain,
( spl6_199
<=> ! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sK3(X0) = sdtasdt0(sK3(X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_199])]) ).
fof(f511,plain,
( ! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sK3(X0) = sdtasdt0(sK3(X0),sz10) )
| ~ spl6_28
| ~ spl6_38 ),
inference(resolution,[],[f471,f378]) ).
fof(f2868,plain,
( spl6_198
| ~ spl6_27
| ~ spl6_38 ),
inference(avatar_split_clause,[],[f510,f470,f373,f2866]) ).
fof(f2866,plain,
( spl6_198
<=> ! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sK3(X0) = sdtpldt0(sz00,sK3(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_198])]) ).
fof(f510,plain,
( ! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sK3(X0) = sdtpldt0(sz00,sK3(X0)) )
| ~ spl6_27
| ~ spl6_38 ),
inference(resolution,[],[f471,f374]) ).
fof(f2864,plain,
( spl6_197
| ~ spl6_26
| ~ spl6_38 ),
inference(avatar_split_clause,[],[f509,f470,f369,f2862]) ).
fof(f2862,plain,
( spl6_197
<=> ! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sK3(X0) = sdtpldt0(sK3(X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_197])]) ).
fof(f509,plain,
( ! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sK3(X0) = sdtpldt0(sK3(X0),sz00) )
| ~ spl6_26
| ~ spl6_38 ),
inference(resolution,[],[f471,f370]) ).
fof(f2858,plain,
( spl6_196
| ~ spl6_29
| ~ spl6_37 ),
inference(avatar_split_clause,[],[f505,f466,f381,f2856]) ).
fof(f2856,plain,
( spl6_196
<=> ! [X0] :
( sP0(X0)
| sz10 = X0
| sz00 = X0
| sK2(X0) = sdtasdt0(sz10,sK2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_196])]) ).
fof(f505,plain,
( ! [X0] :
( sP0(X0)
| sz10 = X0
| sz00 = X0
| sK2(X0) = sdtasdt0(sz10,sK2(X0)) )
| ~ spl6_29
| ~ spl6_37 ),
inference(resolution,[],[f467,f382]) ).
fof(f2854,plain,
( spl6_195
| ~ spl6_28
| ~ spl6_37 ),
inference(avatar_split_clause,[],[f504,f466,f377,f2852]) ).
fof(f2852,plain,
( spl6_195
<=> ! [X0] :
( sP0(X0)
| sz10 = X0
| sz00 = X0
| sK2(X0) = sdtasdt0(sK2(X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_195])]) ).
fof(f504,plain,
( ! [X0] :
( sP0(X0)
| sz10 = X0
| sz00 = X0
| sK2(X0) = sdtasdt0(sK2(X0),sz10) )
| ~ spl6_28
| ~ spl6_37 ),
inference(resolution,[],[f467,f378]) ).
fof(f2850,plain,
( spl6_194
| ~ spl6_27
| ~ spl6_37 ),
inference(avatar_split_clause,[],[f503,f466,f373,f2848]) ).
fof(f2848,plain,
( spl6_194
<=> ! [X0] :
( sP0(X0)
| sz10 = X0
| sz00 = X0
| sK2(X0) = sdtpldt0(sz00,sK2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_194])]) ).
fof(f503,plain,
( ! [X0] :
( sP0(X0)
| sz10 = X0
| sz00 = X0
| sK2(X0) = sdtpldt0(sz00,sK2(X0)) )
| ~ spl6_27
| ~ spl6_37 ),
inference(resolution,[],[f467,f374]) ).
fof(f2846,plain,
( spl6_193
| ~ spl6_26
| ~ spl6_37 ),
inference(avatar_split_clause,[],[f502,f466,f369,f2844]) ).
fof(f2844,plain,
( spl6_193
<=> ! [X0] :
( sP0(X0)
| sz10 = X0
| sz00 = X0
| sK2(X0) = sdtpldt0(sK2(X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_193])]) ).
fof(f502,plain,
( ! [X0] :
( sP0(X0)
| sz10 = X0
| sz00 = X0
| sK2(X0) = sdtpldt0(sK2(X0),sz00) )
| ~ spl6_26
| ~ spl6_37 ),
inference(resolution,[],[f467,f370]) ).
fof(f2701,plain,
( spl6_192
| ~ spl6_4
| ~ spl6_70 ),
inference(avatar_split_clause,[],[f816,f780,f260,f2699]) ).
fof(f2699,plain,
( spl6_192
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xp) = sdtasdt0(X0,sdtasdt0(X1,xp))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_192])]) ).
fof(f816,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xp) = sdtasdt0(X0,sdtasdt0(X1,xp))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_4
| ~ spl6_70 ),
inference(resolution,[],[f781,f262]) ).
fof(f2697,plain,
( spl6_191
| ~ spl6_3
| ~ spl6_70 ),
inference(avatar_split_clause,[],[f815,f780,f255,f2695]) ).
fof(f2695,plain,
( spl6_191
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xm) = sdtasdt0(X0,sdtasdt0(X1,xm))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_191])]) ).
fof(f815,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xm) = sdtasdt0(X0,sdtasdt0(X1,xm))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_3
| ~ spl6_70 ),
inference(resolution,[],[f781,f257]) ).
fof(f2693,plain,
( spl6_190
| ~ spl6_2
| ~ spl6_70 ),
inference(avatar_split_clause,[],[f814,f780,f250,f2691]) ).
fof(f2691,plain,
( spl6_190
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xn) = sdtasdt0(X0,sdtasdt0(X1,xn))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_190])]) ).
fof(f814,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xn) = sdtasdt0(X0,sdtasdt0(X1,xn))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_2
| ~ spl6_70 ),
inference(resolution,[],[f781,f252]) ).
fof(f2689,plain,
( spl6_189
| ~ spl6_4
| ~ spl6_69 ),
inference(avatar_split_clause,[],[f803,f776,f260,f2687]) ).
fof(f2687,plain,
( spl6_189
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xp) = sdtpldt0(X0,sdtpldt0(X1,xp))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_189])]) ).
fof(f803,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xp) = sdtpldt0(X0,sdtpldt0(X1,xp))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_4
| ~ spl6_69 ),
inference(resolution,[],[f777,f262]) ).
fof(f2685,plain,
( spl6_188
| ~ spl6_3
| ~ spl6_69 ),
inference(avatar_split_clause,[],[f802,f776,f255,f2683]) ).
fof(f2683,plain,
( spl6_188
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xm) = sdtpldt0(X0,sdtpldt0(X1,xm))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_188])]) ).
fof(f802,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xm) = sdtpldt0(X0,sdtpldt0(X1,xm))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_3
| ~ spl6_69 ),
inference(resolution,[],[f777,f257]) ).
fof(f2681,plain,
( spl6_187
| ~ spl6_2
| ~ spl6_69 ),
inference(avatar_split_clause,[],[f801,f776,f250,f2679]) ).
fof(f2679,plain,
( spl6_187
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xn) = sdtpldt0(X0,sdtpldt0(X1,xn))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_187])]) ).
fof(f801,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xn) = sdtpldt0(X0,sdtpldt0(X1,xn))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_2
| ~ spl6_69 ),
inference(resolution,[],[f777,f252]) ).
fof(f2667,plain,
( ~ spl6_4
| ~ spl6_134
| ~ spl6_133
| spl6_186
| ~ spl6_33
| ~ spl6_57 ),
inference(avatar_split_clause,[],[f658,f612,f442,f2664,f1812,f1816,f260]) ).
fof(f658,plain,
( doDivides0(xp,sdtasdt0(xm,xm))
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ~ aNaturalNumber0(xp)
| ~ spl6_33
| ~ spl6_57 ),
inference(superposition,[],[f613,f444]) ).
fof(f2636,plain,
( spl6_185
| ~ spl6_16
| ~ spl6_133 ),
inference(avatar_split_clause,[],[f2080,f1812,f320,f2633]) ).
fof(f2633,plain,
( spl6_185
<=> sP1(sdtasdt0(xq,xq)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_185])]) ).
fof(f320,plain,
( spl6_16
<=> ! [X0] :
( sP1(X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_16])]) ).
fof(f2080,plain,
( sP1(sdtasdt0(xq,xq))
| ~ spl6_16
| ~ spl6_133 ),
inference(resolution,[],[f1813,f321]) ).
fof(f321,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sP1(X0) )
| ~ spl6_16 ),
inference(avatar_component_clause,[],[f320]) ).
fof(f2471,plain,
( spl6_184
| ~ spl6_16
| ~ spl6_145 ),
inference(avatar_split_clause,[],[f1921,f1917,f320,f2468]) ).
fof(f2468,plain,
( spl6_184
<=> sP1(sdtasdt0(xn,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_184])]) ).
fof(f1921,plain,
( sP1(sdtasdt0(xn,xn))
| ~ spl6_16
| ~ spl6_145 ),
inference(resolution,[],[f1919,f321]) ).
fof(f2461,plain,
( spl6_183
| ~ spl6_16
| ~ spl6_63 ),
inference(avatar_split_clause,[],[f717,f679,f320,f2459]) ).
fof(f2459,plain,
( spl6_183
<=> ! [X0,X1] :
( ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sP1(sdtsldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_183])]) ).
fof(f717,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sP1(sdtsldt0(X1,X0)) )
| ~ spl6_16
| ~ spl6_63 ),
inference(resolution,[],[f680,f321]) ).
fof(f2457,plain,
( spl6_182
| ~ spl6_35
| ~ spl6_62 ),
inference(avatar_split_clause,[],[f715,f675,f454,f2455]) ).
fof(f2455,plain,
( spl6_182
<=> ! [X0,X1] :
( sdtpldt0(X0,sdtmndt0(X1,X0)) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_182])]) ).
fof(f715,plain,
( ! [X0,X1] :
( sdtpldt0(X0,sdtmndt0(X1,X0)) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X0) )
| ~ spl6_35
| ~ spl6_62 ),
inference(duplicate_literal_removal,[],[f706]) ).
fof(f706,plain,
( ! [X0,X1] :
( sdtpldt0(X0,sdtmndt0(X1,X0)) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_35
| ~ spl6_62 ),
inference(resolution,[],[f676,f455]) ).
fof(f2453,plain,
( spl6_181
| ~ spl6_35
| ~ spl6_61 ),
inference(avatar_split_clause,[],[f700,f671,f454,f2451]) ).
fof(f2451,plain,
( spl6_181
<=> ! [X0,X1] :
( sdtpldt0(X0,sK5(X0,X1)) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_181])]) ).
fof(f700,plain,
( ! [X0,X1] :
( sdtpldt0(X0,sK5(X0,X1)) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X0) )
| ~ spl6_35
| ~ spl6_61 ),
inference(duplicate_literal_removal,[],[f691]) ).
fof(f691,plain,
( ! [X0,X1] :
( sdtpldt0(X0,sK5(X0,X1)) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_35
| ~ spl6_61 ),
inference(resolution,[],[f672,f455]) ).
fof(f2449,plain,
( spl6_180
| ~ spl6_24
| ~ spl6_44 ),
inference(avatar_split_clause,[],[f551,f494,f360,f2447]) ).
fof(f2447,plain,
( spl6_180
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtmndt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_180])]) ).
fof(f551,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtmndt0(X1,X0)) )
| ~ spl6_24
| ~ spl6_44 ),
inference(resolution,[],[f495,f361]) ).
fof(f2445,plain,
( spl6_179
| ~ spl6_23
| ~ spl6_44 ),
inference(avatar_split_clause,[],[f550,f494,f356,f2443]) ).
fof(f2443,plain,
( spl6_179
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtmndt0(X1,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_179])]) ).
fof(f550,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtmndt0(X1,X0),sz00) )
| ~ spl6_23
| ~ spl6_44 ),
inference(resolution,[],[f495,f357]) ).
fof(f2441,plain,
( spl6_178
| ~ spl6_24
| ~ spl6_43 ),
inference(avatar_split_clause,[],[f542,f490,f360,f2439]) ).
fof(f2439,plain,
( spl6_178
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sK5(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_178])]) ).
fof(f542,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sK5(X0,X1)) )
| ~ spl6_24
| ~ spl6_43 ),
inference(resolution,[],[f491,f361]) ).
fof(f2437,plain,
( spl6_177
| ~ spl6_23
| ~ spl6_43 ),
inference(avatar_split_clause,[],[f541,f490,f356,f2435]) ).
fof(f2435,plain,
( spl6_177
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sK5(X0,X1),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_177])]) ).
fof(f541,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sK5(X0,X1),sz00) )
| ~ spl6_23
| ~ spl6_43 ),
inference(resolution,[],[f491,f357]) ).
fof(f2433,plain,
( spl6_176
| ~ spl6_24
| ~ spl6_42 ),
inference(avatar_split_clause,[],[f533,f486,f360,f2431]) ).
fof(f2431,plain,
( spl6_176
<=> ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sK4(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_176])]) ).
fof(f533,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sK4(X0,X1)) )
| ~ spl6_24
| ~ spl6_42 ),
inference(resolution,[],[f487,f361]) ).
fof(f2429,plain,
( spl6_175
| ~ spl6_23
| ~ spl6_42 ),
inference(avatar_split_clause,[],[f532,f486,f356,f2427]) ).
fof(f2427,plain,
( spl6_175
<=> ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sK4(X0,X1),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_175])]) ).
fof(f532,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sK4(X0,X1),sz00) )
| ~ spl6_23
| ~ spl6_42 ),
inference(resolution,[],[f487,f357]) ).
fof(f2425,plain,
( spl6_174
| ~ spl6_16
| ~ spl6_134 ),
inference(avatar_split_clause,[],[f1887,f1816,f320,f2422]) ).
fof(f1887,plain,
( sP1(sdtasdt0(xm,xm))
| ~ spl6_16
| ~ spl6_134 ),
inference(resolution,[],[f1818,f321]) ).
fof(f2420,plain,
( spl6_173
| ~ spl6_24
| ~ spl6_38 ),
inference(avatar_split_clause,[],[f508,f470,f360,f2418]) ).
fof(f2418,plain,
( spl6_173
<=> ! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sK3(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_173])]) ).
fof(f508,plain,
( ! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sK3(X0)) )
| ~ spl6_24
| ~ spl6_38 ),
inference(resolution,[],[f471,f361]) ).
fof(f2416,plain,
( spl6_172
| ~ spl6_23
| ~ spl6_38 ),
inference(avatar_split_clause,[],[f507,f470,f356,f2414]) ).
fof(f2414,plain,
( spl6_172
<=> ! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sK3(X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_172])]) ).
fof(f507,plain,
( ! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sK3(X0),sz00) )
| ~ spl6_23
| ~ spl6_38 ),
inference(resolution,[],[f471,f357]) ).
fof(f2412,plain,
( spl6_171
| ~ spl6_24
| ~ spl6_37 ),
inference(avatar_split_clause,[],[f501,f466,f360,f2410]) ).
fof(f2410,plain,
( spl6_171
<=> ! [X0] :
( sP0(X0)
| sz10 = X0
| sz00 = X0
| sz00 = sdtasdt0(sz00,sK2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_171])]) ).
fof(f501,plain,
( ! [X0] :
( sP0(X0)
| sz10 = X0
| sz00 = X0
| sz00 = sdtasdt0(sz00,sK2(X0)) )
| ~ spl6_24
| ~ spl6_37 ),
inference(resolution,[],[f467,f361]) ).
fof(f2408,plain,
( spl6_170
| ~ spl6_23
| ~ spl6_37 ),
inference(avatar_split_clause,[],[f500,f466,f356,f2406]) ).
fof(f2406,plain,
( spl6_170
<=> ! [X0] :
( sP0(X0)
| sz10 = X0
| sz00 = X0
| sz00 = sdtasdt0(sK2(X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_170])]) ).
fof(f500,plain,
( ! [X0] :
( sP0(X0)
| sz10 = X0
| sz00 = X0
| sz00 = sdtasdt0(sK2(X0),sz00) )
| ~ spl6_23
| ~ spl6_37 ),
inference(resolution,[],[f467,f357]) ).
fof(f2404,plain,
( ~ spl6_167
| ~ spl6_4
| spl6_168
| spl6_169
| ~ spl6_18
| ~ spl6_53 ),
inference(avatar_split_clause,[],[f620,f596,f334,f2401,f2397,f260,f2393]) ).
fof(f2393,plain,
( spl6_167
<=> sP0(sdtasdt0(xn,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_167])]) ).
fof(f2401,plain,
( spl6_169
<=> sz10 = xp ),
introduced(avatar_definition,[new_symbols(naming,[spl6_169])]) ).
fof(f620,plain,
( sz10 = xp
| xp = sdtasdt0(xn,xn)
| ~ aNaturalNumber0(xp)
| ~ sP0(sdtasdt0(xn,xn))
| ~ spl6_18
| ~ spl6_53 ),
inference(resolution,[],[f597,f336]) ).
fof(f2230,plain,
( ~ spl6_6
| spl6_166
| ~ spl6_36
| ~ spl6_56 ),
inference(avatar_split_clause,[],[f651,f608,f462,f2228,f270]) ).
fof(f2228,plain,
( spl6_166
<=> ! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_166])]) ).
fof(f651,plain,
( ! [X0] :
( sz10 = X0
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| sz00 = X0 )
| ~ spl6_36
| ~ spl6_56 ),
inference(duplicate_literal_removal,[],[f650]) ).
fof(f650,plain,
( ! [X0] :
( sz10 = X0
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl6_36
| ~ spl6_56 ),
inference(resolution,[],[f609,f463]) ).
fof(f2226,plain,
( spl6_165
| ~ spl6_35
| ~ spl6_54 ),
inference(avatar_split_clause,[],[f632,f600,f454,f2224]) ).
fof(f2224,plain,
( spl6_165
<=> ! [X0,X1] :
( iLess0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_165])]) ).
fof(f632,plain,
( ! [X0,X1] :
( iLess0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X0) )
| ~ spl6_35
| ~ spl6_54 ),
inference(duplicate_literal_removal,[],[f625]) ).
fof(f625,plain,
( ! [X0,X1] :
( iLess0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_35
| ~ spl6_54 ),
inference(resolution,[],[f601,f455]) ).
fof(f2222,plain,
( spl6_164
| ~ spl6_16
| ~ spl6_136 ),
inference(avatar_split_clause,[],[f2149,f1830,f320,f2219]) ).
fof(f2149,plain,
( sP1(xq)
| ~ spl6_16
| ~ spl6_136 ),
inference(resolution,[],[f1831,f321]) ).
fof(f2217,plain,
( ~ spl6_6
| spl6_163
| ~ spl6_36
| ~ spl6_54 ),
inference(avatar_split_clause,[],[f629,f600,f462,f2215,f270]) ).
fof(f2215,plain,
( spl6_163
<=> ! [X0] :
( iLess0(sz10,X0)
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sz10 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_163])]) ).
fof(f629,plain,
( ! [X0] :
( iLess0(sz10,X0)
| sz10 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10)
| sz00 = X0 )
| ~ spl6_36
| ~ spl6_54 ),
inference(duplicate_literal_removal,[],[f628]) ).
fof(f628,plain,
( ! [X0] :
( iLess0(sz10,X0)
| sz10 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl6_36
| ~ spl6_54 ),
inference(resolution,[],[f601,f463]) ).
fof(f2213,plain,
( spl6_162
| ~ spl6_29
| ~ spl6_32 ),
inference(avatar_split_clause,[],[f440,f424,f381,f2211]) ).
fof(f2211,plain,
( spl6_162
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X1,X0) = sdtasdt0(sz10,sdtasdt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_162])]) ).
fof(f440,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X1,X0) = sdtasdt0(sz10,sdtasdt0(X1,X0)) )
| ~ spl6_29
| ~ spl6_32 ),
inference(resolution,[],[f425,f382]) ).
fof(f2209,plain,
( spl6_161
| ~ spl6_28
| ~ spl6_32 ),
inference(avatar_split_clause,[],[f439,f424,f377,f2207]) ).
fof(f2207,plain,
( spl6_161
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X1,X0) = sdtasdt0(sdtasdt0(X1,X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_161])]) ).
fof(f439,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X1,X0) = sdtasdt0(sdtasdt0(X1,X0),sz10) )
| ~ spl6_28
| ~ spl6_32 ),
inference(resolution,[],[f425,f378]) ).
fof(f2205,plain,
( spl6_160
| ~ spl6_27
| ~ spl6_32 ),
inference(avatar_split_clause,[],[f438,f424,f373,f2203]) ).
fof(f2203,plain,
( spl6_160
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X1,X0) = sdtpldt0(sz00,sdtasdt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_160])]) ).
fof(f438,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X1,X0) = sdtpldt0(sz00,sdtasdt0(X1,X0)) )
| ~ spl6_27
| ~ spl6_32 ),
inference(resolution,[],[f425,f374]) ).
fof(f2201,plain,
( spl6_159
| ~ spl6_26
| ~ spl6_32 ),
inference(avatar_split_clause,[],[f437,f424,f369,f2199]) ).
fof(f2199,plain,
( spl6_159
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X1,X0) = sdtpldt0(sdtasdt0(X1,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_159])]) ).
fof(f437,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X1,X0) = sdtpldt0(sdtasdt0(X1,X0),sz00) )
| ~ spl6_26
| ~ spl6_32 ),
inference(resolution,[],[f425,f370]) ).
fof(f2197,plain,
( spl6_158
| ~ spl6_29
| ~ spl6_31 ),
inference(avatar_split_clause,[],[f433,f420,f381,f2195]) ).
fof(f2195,plain,
( spl6_158
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,X0) = sdtasdt0(sz10,sdtpldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_158])]) ).
fof(f433,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,X0) = sdtasdt0(sz10,sdtpldt0(X1,X0)) )
| ~ spl6_29
| ~ spl6_31 ),
inference(resolution,[],[f421,f382]) ).
fof(f2193,plain,
( spl6_157
| ~ spl6_28
| ~ spl6_31 ),
inference(avatar_split_clause,[],[f432,f420,f377,f2191]) ).
fof(f2191,plain,
( spl6_157
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,X0) = sdtasdt0(sdtpldt0(X1,X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_157])]) ).
fof(f432,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,X0) = sdtasdt0(sdtpldt0(X1,X0),sz10) )
| ~ spl6_28
| ~ spl6_31 ),
inference(resolution,[],[f421,f378]) ).
fof(f2189,plain,
( spl6_156
| ~ spl6_27
| ~ spl6_31 ),
inference(avatar_split_clause,[],[f431,f420,f373,f2187]) ).
fof(f2187,plain,
( spl6_156
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,X0) = sdtpldt0(sz00,sdtpldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_156])]) ).
fof(f431,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,X0) = sdtpldt0(sz00,sdtpldt0(X1,X0)) )
| ~ spl6_27
| ~ spl6_31 ),
inference(resolution,[],[f421,f374]) ).
fof(f2185,plain,
( spl6_155
| ~ spl6_26
| ~ spl6_31 ),
inference(avatar_split_clause,[],[f430,f420,f369,f2183]) ).
fof(f2183,plain,
( spl6_155
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,X0) = sdtpldt0(sdtpldt0(X1,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_155])]) ).
fof(f430,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,X0) = sdtpldt0(sdtpldt0(X1,X0),sz00) )
| ~ spl6_26
| ~ spl6_31 ),
inference(resolution,[],[f421,f370]) ).
fof(f2134,plain,
( ~ spl6_4
| ~ spl6_2
| spl6_11
| spl6_154
| ~ spl6_14
| ~ spl6_17
| ~ spl6_73 ),
inference(avatar_split_clause,[],[f851,f792,f329,f310,f2131,f295,f250,f260]) ).
fof(f851,plain,
( xn = sdtasdt0(xp,xq)
| sz00 = xp
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xp)
| ~ spl6_14
| ~ spl6_17
| ~ spl6_73 ),
inference(forward_demodulation,[],[f844,f331]) ).
fof(f844,plain,
( xn = sdtasdt0(xp,sdtsldt0(xn,xp))
| sz00 = xp
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xp)
| ~ spl6_14
| ~ spl6_73 ),
inference(resolution,[],[f793,f312]) ).
fof(f2122,plain,
( ~ spl6_3
| ~ spl6_2
| spl6_153
| ~ spl6_13
| ~ spl6_66 ),
inference(avatar_split_clause,[],[f748,f736,f305,f2120,f250,f255]) ).
fof(f2120,plain,
( spl6_153
<=> ! [X0] :
( sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_153])]) ).
fof(f748,plain,
( ! [X0] :
( sdtlseqdt0(X0,xn)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) )
| ~ spl6_13
| ~ spl6_66 ),
inference(resolution,[],[f737,f307]) ).
fof(f2116,plain,
( ~ spl6_4
| ~ spl6_2
| spl6_152
| ~ spl6_14
| ~ spl6_65 ),
inference(avatar_split_clause,[],[f742,f732,f310,f2114,f250,f260]) ).
fof(f2114,plain,
( spl6_152
<=> ! [X0] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_152])]) ).
fof(f742,plain,
( ! [X0] :
( doDivides0(X0,xn)
| ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) )
| ~ spl6_14
| ~ spl6_65 ),
inference(resolution,[],[f733,f312]) ).
fof(f2079,plain,
( ~ spl6_4
| ~ spl6_2
| spl6_11
| ~ spl6_14
| spl6_136
| ~ spl6_17
| ~ spl6_63 ),
inference(avatar_split_clause,[],[f726,f679,f329,f1830,f310,f295,f250,f260]) ).
fof(f726,plain,
( aNaturalNumber0(xq)
| ~ doDivides0(xp,xn)
| sz00 = xp
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xp)
| ~ spl6_17
| ~ spl6_63 ),
inference(superposition,[],[f680,f331]) ).
fof(f2008,plain,
( spl6_151
| ~ spl6_16
| ~ spl6_44 ),
inference(avatar_split_clause,[],[f549,f494,f320,f2006]) ).
fof(f2006,plain,
( spl6_151
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sP1(sdtmndt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_151])]) ).
fof(f549,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sP1(sdtmndt0(X1,X0)) )
| ~ spl6_16
| ~ spl6_44 ),
inference(resolution,[],[f495,f321]) ).
fof(f2004,plain,
( spl6_150
| ~ spl6_16
| ~ spl6_43 ),
inference(avatar_split_clause,[],[f540,f490,f320,f2002]) ).
fof(f2002,plain,
( spl6_150
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sP1(sK5(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_150])]) ).
fof(f540,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sP1(sK5(X0,X1)) )
| ~ spl6_16
| ~ spl6_43 ),
inference(resolution,[],[f491,f321]) ).
fof(f1985,plain,
( ~ spl6_3
| ~ spl6_2
| spl6_149
| ~ spl6_13
| ~ spl6_62 ),
inference(avatar_split_clause,[],[f704,f675,f305,f1982,f250,f255]) ).
fof(f1982,plain,
( spl6_149
<=> xn = sdtpldt0(xm,sdtmndt0(xn,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_149])]) ).
fof(f704,plain,
( xn = sdtpldt0(xm,sdtmndt0(xn,xm))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ spl6_13
| ~ spl6_62 ),
inference(resolution,[],[f676,f307]) ).
fof(f1965,plain,
( ~ spl6_3
| ~ spl6_2
| spl6_148
| ~ spl6_13
| ~ spl6_61 ),
inference(avatar_split_clause,[],[f689,f671,f305,f1962,f250,f255]) ).
fof(f1962,plain,
( spl6_148
<=> xn = sdtpldt0(xm,sK5(xm,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_148])]) ).
fof(f689,plain,
( xn = sdtpldt0(xm,sK5(xm,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ spl6_13
| ~ spl6_61 ),
inference(resolution,[],[f672,f307]) ).
fof(f1958,plain,
( ~ spl6_2
| ~ spl6_3
| ~ spl6_147
| spl6_12
| ~ spl6_13
| ~ spl6_56 ),
inference(avatar_split_clause,[],[f645,f608,f305,f300,f1955,f255,f250]) ).
fof(f300,plain,
( spl6_12
<=> xn = xm ),
introduced(avatar_definition,[new_symbols(naming,[spl6_12])]) ).
fof(f645,plain,
( xn = xm
| ~ sdtlseqdt0(xn,xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ spl6_13
| ~ spl6_56 ),
inference(resolution,[],[f609,f307]) ).
fof(f1953,plain,
( ~ spl6_3
| ~ spl6_2
| spl6_12
| spl6_146
| ~ spl6_13
| ~ spl6_54 ),
inference(avatar_split_clause,[],[f623,f600,f305,f1950,f300,f250,f255]) ).
fof(f623,plain,
( iLess0(xm,xn)
| xn = xm
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ spl6_13
| ~ spl6_54 ),
inference(resolution,[],[f601,f307]) ).
fof(f1920,plain,
( ~ spl6_4
| ~ spl6_134
| spl6_145
| ~ spl6_32
| ~ spl6_34 ),
inference(avatar_split_clause,[],[f452,f447,f424,f1917,f1816,f260]) ).
fof(f452,plain,
( aNaturalNumber0(sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ~ aNaturalNumber0(xp)
| ~ spl6_32
| ~ spl6_34 ),
inference(superposition,[],[f425,f449]) ).
fof(f1886,plain,
( ~ spl6_3
| ~ spl6_32
| spl6_134 ),
inference(avatar_split_clause,[],[f1823,f1816,f424,f255]) ).
fof(f1823,plain,
( ~ aNaturalNumber0(xm)
| ~ spl6_32
| spl6_134 ),
inference(duplicate_literal_removal,[],[f1822]) ).
fof(f1822,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xm)
| ~ spl6_32
| spl6_134 ),
inference(resolution,[],[f1817,f425]) ).
fof(f1817,plain,
( ~ aNaturalNumber0(sdtasdt0(xm,xm))
| spl6_134 ),
inference(avatar_component_clause,[],[f1816]) ).
fof(f1885,plain,
( spl6_144
| ~ spl6_16
| ~ spl6_42 ),
inference(avatar_split_clause,[],[f531,f486,f320,f1883]) ).
fof(f1883,plain,
( spl6_144
<=> ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sP1(sK4(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_144])]) ).
fof(f531,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sP1(sK4(X0,X1)) )
| ~ spl6_16
| ~ spl6_42 ),
inference(resolution,[],[f487,f321]) ).
fof(f1881,plain,
( spl6_143
| ~ spl6_16
| ~ spl6_38 ),
inference(avatar_split_clause,[],[f506,f470,f320,f1879]) ).
fof(f1879,plain,
( spl6_143
<=> ! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sP1(sK3(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_143])]) ).
fof(f506,plain,
( ! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sP1(sK3(X0)) )
| ~ spl6_16
| ~ spl6_38 ),
inference(resolution,[],[f471,f321]) ).
fof(f1877,plain,
( spl6_142
| ~ spl6_16
| ~ spl6_37 ),
inference(avatar_split_clause,[],[f499,f466,f320,f1875]) ).
fof(f1875,plain,
( spl6_142
<=> ! [X0] :
( sP0(X0)
| sz10 = X0
| sz00 = X0
| sP1(sK2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_142])]) ).
fof(f499,plain,
( ! [X0] :
( sP0(X0)
| sz10 = X0
| sz00 = X0
| sP1(sK2(X0)) )
| ~ spl6_16
| ~ spl6_37 ),
inference(resolution,[],[f467,f321]) ).
fof(f1873,plain,
( spl6_141
| ~ spl6_24
| ~ spl6_32 ),
inference(avatar_split_clause,[],[f436,f424,f360,f1871]) ).
fof(f1871,plain,
( spl6_141
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = sdtasdt0(sz00,sdtasdt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_141])]) ).
fof(f436,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = sdtasdt0(sz00,sdtasdt0(X1,X0)) )
| ~ spl6_24
| ~ spl6_32 ),
inference(resolution,[],[f425,f361]) ).
fof(f1869,plain,
( spl6_140
| ~ spl6_23
| ~ spl6_32 ),
inference(avatar_split_clause,[],[f435,f424,f356,f1867]) ).
fof(f1867,plain,
( spl6_140
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = sdtasdt0(sdtasdt0(X1,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_140])]) ).
fof(f435,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = sdtasdt0(sdtasdt0(X1,X0),sz00) )
| ~ spl6_23
| ~ spl6_32 ),
inference(resolution,[],[f425,f357]) ).
fof(f1865,plain,
( spl6_139
| ~ spl6_24
| ~ spl6_31 ),
inference(avatar_split_clause,[],[f429,f420,f360,f1863]) ).
fof(f1863,plain,
( spl6_139
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = sdtasdt0(sz00,sdtpldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_139])]) ).
fof(f429,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = sdtasdt0(sz00,sdtpldt0(X1,X0)) )
| ~ spl6_24
| ~ spl6_31 ),
inference(resolution,[],[f421,f361]) ).
fof(f1861,plain,
( spl6_138
| ~ spl6_23
| ~ spl6_31 ),
inference(avatar_split_clause,[],[f428,f420,f356,f1859]) ).
fof(f1859,plain,
( spl6_138
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = sdtasdt0(sdtpldt0(X1,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_138])]) ).
fof(f428,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = sdtasdt0(sdtpldt0(X1,X0),sz00) )
| ~ spl6_23
| ~ spl6_31 ),
inference(resolution,[],[f421,f357]) ).
fof(f1843,plain,
( ~ spl6_4
| ~ spl6_2
| spl6_137
| ~ spl6_14
| ~ spl6_60 ),
inference(avatar_split_clause,[],[f683,f667,f310,f1840,f250,f260]) ).
fof(f1840,plain,
( spl6_137
<=> xn = sdtasdt0(xp,sK4(xp,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_137])]) ).
fof(f683,plain,
( xn = sdtasdt0(xp,sK4(xp,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xp)
| ~ spl6_14
| ~ spl6_60 ),
inference(resolution,[],[f668,f312]) ).
fof(f1833,plain,
( ~ spl6_136
| ~ spl6_32
| spl6_133 ),
inference(avatar_split_clause,[],[f1821,f1812,f424,f1830]) ).
fof(f1821,plain,
( ~ aNaturalNumber0(xq)
| ~ spl6_32
| spl6_133 ),
inference(duplicate_literal_removal,[],[f1820]) ).
fof(f1820,plain,
( ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xq)
| ~ spl6_32
| spl6_133 ),
inference(resolution,[],[f1814,f425]) ).
fof(f1814,plain,
( ~ aNaturalNumber0(sdtasdt0(xq,xq))
| spl6_133 ),
inference(avatar_component_clause,[],[f1812]) ).
fof(f1828,plain,
( ~ spl6_4
| ~ spl6_2
| spl6_135
| spl6_9
| ~ spl6_14
| ~ spl6_55 ),
inference(avatar_split_clause,[],[f639,f604,f310,f285,f1825,f250,f260]) ).
fof(f1825,plain,
( spl6_135
<=> sdtlseqdt0(xp,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_135])]) ).
fof(f639,plain,
( sz00 = xn
| sdtlseqdt0(xp,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xp)
| ~ spl6_14
| ~ spl6_55 ),
inference(resolution,[],[f605,f312]) ).
fof(f1819,plain,
( ~ spl6_4
| ~ spl6_133
| spl6_134
| ~ spl6_32
| ~ spl6_33 ),
inference(avatar_split_clause,[],[f451,f442,f424,f1816,f1812,f260]) ).
fof(f451,plain,
( aNaturalNumber0(sdtasdt0(xm,xm))
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ aNaturalNumber0(xp)
| ~ spl6_32
| ~ spl6_33 ),
inference(superposition,[],[f425,f444]) ).
fof(f1719,plain,
( spl6_7
| ~ spl6_132
| ~ spl6_21
| ~ spl6_59 ),
inference(avatar_split_clause,[],[f770,f635,f348,f1716,f275]) ).
fof(f275,plain,
( spl6_7
<=> sP0(sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_7])]) ).
fof(f1716,plain,
( spl6_132
<=> isPrime0(sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_132])]) ).
fof(f348,plain,
( spl6_21
<=> ! [X0] :
( sP0(X0)
| ~ isPrime0(X0)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_21])]) ).
fof(f635,plain,
( spl6_59
<=> sP1(sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_59])]) ).
fof(f770,plain,
( ~ isPrime0(sz10)
| sP0(sz10)
| ~ spl6_21
| ~ spl6_59 ),
inference(resolution,[],[f637,f349]) ).
fof(f349,plain,
( ! [X0] :
( ~ sP1(X0)
| ~ isPrime0(X0)
| sP0(X0) )
| ~ spl6_21 ),
inference(avatar_component_clause,[],[f348]) ).
fof(f637,plain,
( sP1(sz10)
| ~ spl6_59 ),
inference(avatar_component_clause,[],[f635]) ).
fof(f1714,plain,
( spl6_131
| ~ spl6_20
| ~ spl6_62 ),
inference(avatar_split_clause,[],[f716,f675,f344,f1712]) ).
fof(f344,plain,
( spl6_20
<=> ! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_20])]) ).
fof(f716,plain,
( ! [X0] :
( sdtpldt0(X0,sdtmndt0(X0,X0)) = X0
| ~ aNaturalNumber0(X0) )
| ~ spl6_20
| ~ spl6_62 ),
inference(duplicate_literal_removal,[],[f705]) ).
fof(f705,plain,
( ! [X0] :
( sdtpldt0(X0,sdtmndt0(X0,X0)) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_20
| ~ spl6_62 ),
inference(resolution,[],[f676,f345]) ).
fof(f345,plain,
( ! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_20 ),
inference(avatar_component_clause,[],[f344]) ).
fof(f1710,plain,
( spl6_130
| ~ spl6_20
| ~ spl6_61 ),
inference(avatar_split_clause,[],[f701,f671,f344,f1708]) ).
fof(f701,plain,
( ! [X0] :
( sdtpldt0(X0,sK5(X0,X0)) = X0
| ~ aNaturalNumber0(X0) )
| ~ spl6_20
| ~ spl6_61 ),
inference(duplicate_literal_removal,[],[f690]) ).
fof(f690,plain,
( ! [X0] :
( sdtpldt0(X0,sK5(X0,X0)) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_20
| ~ spl6_61 ),
inference(resolution,[],[f672,f345]) ).
fof(f1706,plain,
( spl6_129
| ~ spl6_6
| ~ spl6_41 ),
inference(avatar_split_clause,[],[f523,f482,f270,f1704]) ).
fof(f1704,plain,
( spl6_129
<=> ! [X0] :
( sdtasdt0(X0,sz10) = sdtasdt0(sz10,X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_129])]) ).
fof(f523,plain,
( ! [X0] :
( sdtasdt0(X0,sz10) = sdtasdt0(sz10,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_6
| ~ spl6_41 ),
inference(resolution,[],[f483,f272]) ).
fof(f1702,plain,
( spl6_128
| ~ spl6_5
| ~ spl6_41 ),
inference(avatar_split_clause,[],[f522,f482,f265,f1700]) ).
fof(f1700,plain,
( spl6_128
<=> ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sz00,X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_128])]) ).
fof(f522,plain,
( ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sz00,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_5
| ~ spl6_41 ),
inference(resolution,[],[f483,f267]) ).
fof(f1698,plain,
( spl6_127
| ~ spl6_6
| ~ spl6_40 ),
inference(avatar_split_clause,[],[f514,f478,f270,f1696]) ).
fof(f1696,plain,
( spl6_127
<=> ! [X0] :
( sdtpldt0(X0,sz10) = sdtpldt0(sz10,X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_127])]) ).
fof(f514,plain,
( ! [X0] :
( sdtpldt0(X0,sz10) = sdtpldt0(sz10,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_6
| ~ spl6_40 ),
inference(resolution,[],[f479,f272]) ).
fof(f1694,plain,
( spl6_126
| ~ spl6_5
| ~ spl6_40 ),
inference(avatar_split_clause,[],[f513,f478,f265,f1692]) ).
fof(f1692,plain,
( spl6_126
<=> ! [X0] :
( sdtpldt0(X0,sz00) = sdtpldt0(sz00,X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_126])]) ).
fof(f513,plain,
( ! [X0] :
( sdtpldt0(X0,sz00) = sdtpldt0(sz00,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_5
| ~ spl6_40 ),
inference(resolution,[],[f479,f267]) ).
fof(f1603,plain,
( spl6_125
| ~ spl6_4
| ~ spl6_41 ),
inference(avatar_split_clause,[],[f528,f482,f260,f1601]) ).
fof(f528,plain,
( ! [X0] :
( sdtasdt0(X0,xp) = sdtasdt0(xp,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_4
| ~ spl6_41 ),
inference(resolution,[],[f483,f262]) ).
fof(f1599,plain,
( spl6_124
| ~ spl6_3
| ~ spl6_41 ),
inference(avatar_split_clause,[],[f527,f482,f255,f1597]) ).
fof(f527,plain,
( ! [X0] :
( sdtasdt0(X0,xm) = sdtasdt0(xm,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_3
| ~ spl6_41 ),
inference(resolution,[],[f483,f257]) ).
fof(f1595,plain,
( spl6_123
| ~ spl6_2
| ~ spl6_41 ),
inference(avatar_split_clause,[],[f526,f482,f250,f1593]) ).
fof(f526,plain,
( ! [X0] :
( sdtasdt0(X0,xn) = sdtasdt0(xn,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_2
| ~ spl6_41 ),
inference(resolution,[],[f483,f252]) ).
fof(f1591,plain,
( spl6_122
| ~ spl6_4
| ~ spl6_40 ),
inference(avatar_split_clause,[],[f519,f478,f260,f1589]) ).
fof(f519,plain,
( ! [X0] :
( sdtpldt0(X0,xp) = sdtpldt0(xp,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_4
| ~ spl6_40 ),
inference(resolution,[],[f479,f262]) ).
fof(f1587,plain,
( spl6_121
| ~ spl6_3
| ~ spl6_40 ),
inference(avatar_split_clause,[],[f518,f478,f255,f1585]) ).
fof(f518,plain,
( ! [X0] :
( sdtpldt0(X0,xm) = sdtpldt0(xm,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_3
| ~ spl6_40 ),
inference(resolution,[],[f479,f257]) ).
fof(f1583,plain,
( spl6_120
| ~ spl6_2
| ~ spl6_40 ),
inference(avatar_split_clause,[],[f517,f478,f250,f1581]) ).
fof(f517,plain,
( ! [X0] :
( sdtpldt0(X0,xn) = sdtpldt0(xn,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_2
| ~ spl6_40 ),
inference(resolution,[],[f479,f252]) ).
fof(f1545,plain,
( spl6_8
| ~ spl6_119
| ~ spl6_21
| ~ spl6_52 ),
inference(avatar_split_clause,[],[f703,f591,f348,f1542,f280]) ).
fof(f280,plain,
( spl6_8
<=> sP0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_8])]) ).
fof(f1542,plain,
( spl6_119
<=> isPrime0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_119])]) ).
fof(f591,plain,
( spl6_52
<=> sP1(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_52])]) ).
fof(f703,plain,
( ~ isPrime0(sz00)
| sP0(sz00)
| ~ spl6_21
| ~ spl6_52 ),
inference(resolution,[],[f593,f349]) ).
fof(f593,plain,
( sP1(sz00)
| ~ spl6_52 ),
inference(avatar_component_clause,[],[f591]) ).
fof(f1540,plain,
( spl6_118
| ~ spl6_16
| ~ spl6_32 ),
inference(avatar_split_clause,[],[f434,f424,f320,f1538]) ).
fof(f1538,plain,
( spl6_118
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sP1(sdtasdt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_118])]) ).
fof(f434,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sP1(sdtasdt0(X1,X0)) )
| ~ spl6_16
| ~ spl6_32 ),
inference(resolution,[],[f425,f321]) ).
fof(f1536,plain,
( spl6_117
| ~ spl6_16
| ~ spl6_31 ),
inference(avatar_split_clause,[],[f427,f420,f320,f1534]) ).
fof(f1534,plain,
( spl6_117
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sP1(sdtpldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_117])]) ).
fof(f427,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sP1(sdtpldt0(X1,X0)) )
| ~ spl6_16
| ~ spl6_31 ),
inference(resolution,[],[f421,f321]) ).
fof(f1403,plain,
( spl6_116
| ~ spl6_6
| ~ spl6_28 ),
inference(avatar_split_clause,[],[f405,f377,f270,f1400]) ).
fof(f405,plain,
( sz10 = sdtasdt0(sz10,sz10)
| ~ spl6_6
| ~ spl6_28 ),
inference(resolution,[],[f378,f272]) ).
fof(f1398,plain,
( spl6_115
| ~ spl6_6
| ~ spl6_27 ),
inference(avatar_split_clause,[],[f400,f373,f270,f1395]) ).
fof(f400,plain,
( sz10 = sdtpldt0(sz00,sz10)
| ~ spl6_6
| ~ spl6_27 ),
inference(resolution,[],[f374,f272]) ).
fof(f1393,plain,
( spl6_114
| ~ spl6_6
| ~ spl6_26 ),
inference(avatar_split_clause,[],[f395,f369,f270,f1390]) ).
fof(f1390,plain,
( spl6_114
<=> sz10 = sdtpldt0(sz10,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_114])]) ).
fof(f395,plain,
( sz10 = sdtpldt0(sz10,sz00)
| ~ spl6_6
| ~ spl6_26 ),
inference(resolution,[],[f370,f272]) ).
fof(f1388,plain,
( spl6_113
| ~ spl6_5
| ~ spl6_26 ),
inference(avatar_split_clause,[],[f394,f369,f265,f1385]) ).
fof(f394,plain,
( sz00 = sdtpldt0(sz00,sz00)
| ~ spl6_5
| ~ spl6_26 ),
inference(resolution,[],[f370,f267]) ).
fof(f1383,plain,
( spl6_112
| ~ spl6_6
| ~ spl6_24 ),
inference(avatar_split_clause,[],[f390,f360,f270,f1380]) ).
fof(f1380,plain,
( spl6_112
<=> sz00 = sdtasdt0(sz00,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_112])]) ).
fof(f390,plain,
( sz00 = sdtasdt0(sz00,sz10)
| ~ spl6_6
| ~ spl6_24 ),
inference(resolution,[],[f361,f272]) ).
fof(f1378,plain,
( spl6_111
| ~ spl6_6
| ~ spl6_23 ),
inference(avatar_split_clause,[],[f385,f356,f270,f1375]) ).
fof(f385,plain,
( sz00 = sdtasdt0(sz10,sz00)
| ~ spl6_6
| ~ spl6_23 ),
inference(resolution,[],[f357,f272]) ).
fof(f1373,plain,
( spl6_110
| ~ spl6_5
| ~ spl6_23 ),
inference(avatar_split_clause,[],[f384,f356,f265,f1370]) ).
fof(f384,plain,
( sz00 = sdtasdt0(sz00,sz00)
| ~ spl6_5
| ~ spl6_23 ),
inference(resolution,[],[f357,f267]) ).
fof(f1312,plain,
( spl6_109
| ~ spl6_1
| ~ spl6_21
| ~ spl6_30 ),
inference(avatar_split_clause,[],[f567,f415,f348,f245,f1309]) ).
fof(f1309,plain,
( spl6_109
<=> sP0(xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_109])]) ).
fof(f415,plain,
( spl6_30
<=> sP1(xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_30])]) ).
fof(f567,plain,
( ~ isPrime0(xp)
| sP0(xp)
| ~ spl6_21
| ~ spl6_30 ),
inference(resolution,[],[f417,f349]) ).
fof(f417,plain,
( sP1(xp)
| ~ spl6_30 ),
inference(avatar_component_clause,[],[f415]) ).
fof(f1102,plain,
( spl6_108
| ~ spl6_4
| ~ spl6_29 ),
inference(avatar_split_clause,[],[f413,f381,f260,f1099]) ).
fof(f413,plain,
( xp = sdtasdt0(sz10,xp)
| ~ spl6_4
| ~ spl6_29 ),
inference(resolution,[],[f382,f262]) ).
fof(f1097,plain,
( spl6_107
| ~ spl6_3
| ~ spl6_29 ),
inference(avatar_split_clause,[],[f412,f381,f255,f1094]) ).
fof(f412,plain,
( xm = sdtasdt0(sz10,xm)
| ~ spl6_3
| ~ spl6_29 ),
inference(resolution,[],[f382,f257]) ).
fof(f1092,plain,
( spl6_106
| ~ spl6_2
| ~ spl6_29 ),
inference(avatar_split_clause,[],[f411,f381,f250,f1089]) ).
fof(f411,plain,
( xn = sdtasdt0(sz10,xn)
| ~ spl6_2
| ~ spl6_29 ),
inference(resolution,[],[f382,f252]) ).
fof(f1087,plain,
( spl6_105
| ~ spl6_4
| ~ spl6_28 ),
inference(avatar_split_clause,[],[f408,f377,f260,f1084]) ).
fof(f408,plain,
( xp = sdtasdt0(xp,sz10)
| ~ spl6_4
| ~ spl6_28 ),
inference(resolution,[],[f378,f262]) ).
fof(f1082,plain,
( spl6_104
| ~ spl6_3
| ~ spl6_28 ),
inference(avatar_split_clause,[],[f407,f377,f255,f1079]) ).
fof(f407,plain,
( xm = sdtasdt0(xm,sz10)
| ~ spl6_3
| ~ spl6_28 ),
inference(resolution,[],[f378,f257]) ).
fof(f1077,plain,
( spl6_103
| ~ spl6_2
| ~ spl6_28 ),
inference(avatar_split_clause,[],[f406,f377,f250,f1074]) ).
fof(f406,plain,
( xn = sdtasdt0(xn,sz10)
| ~ spl6_2
| ~ spl6_28 ),
inference(resolution,[],[f378,f252]) ).
fof(f1072,plain,
( spl6_102
| ~ spl6_4
| ~ spl6_27 ),
inference(avatar_split_clause,[],[f403,f373,f260,f1069]) ).
fof(f403,plain,
( xp = sdtpldt0(sz00,xp)
| ~ spl6_4
| ~ spl6_27 ),
inference(resolution,[],[f374,f262]) ).
fof(f1067,plain,
( spl6_101
| ~ spl6_3
| ~ spl6_27 ),
inference(avatar_split_clause,[],[f402,f373,f255,f1064]) ).
fof(f402,plain,
( xm = sdtpldt0(sz00,xm)
| ~ spl6_3
| ~ spl6_27 ),
inference(resolution,[],[f374,f257]) ).
fof(f1062,plain,
( spl6_100
| ~ spl6_2
| ~ spl6_27 ),
inference(avatar_split_clause,[],[f401,f373,f250,f1059]) ).
fof(f401,plain,
( xn = sdtpldt0(sz00,xn)
| ~ spl6_2
| ~ spl6_27 ),
inference(resolution,[],[f374,f252]) ).
fof(f1057,plain,
( spl6_99
| ~ spl6_4
| ~ spl6_26 ),
inference(avatar_split_clause,[],[f398,f369,f260,f1054]) ).
fof(f1054,plain,
( spl6_99
<=> xp = sdtpldt0(xp,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_99])]) ).
fof(f398,plain,
( xp = sdtpldt0(xp,sz00)
| ~ spl6_4
| ~ spl6_26 ),
inference(resolution,[],[f370,f262]) ).
fof(f1052,plain,
( spl6_98
| ~ spl6_3
| ~ spl6_26 ),
inference(avatar_split_clause,[],[f397,f369,f255,f1049]) ).
fof(f1049,plain,
( spl6_98
<=> xm = sdtpldt0(xm,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_98])]) ).
fof(f397,plain,
( xm = sdtpldt0(xm,sz00)
| ~ spl6_3
| ~ spl6_26 ),
inference(resolution,[],[f370,f257]) ).
fof(f1047,plain,
( spl6_97
| ~ spl6_2
| ~ spl6_26 ),
inference(avatar_split_clause,[],[f396,f369,f250,f1044]) ).
fof(f1044,plain,
( spl6_97
<=> xn = sdtpldt0(xn,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_97])]) ).
fof(f396,plain,
( xn = sdtpldt0(xn,sz00)
| ~ spl6_2
| ~ spl6_26 ),
inference(resolution,[],[f370,f252]) ).
fof(f1042,plain,
( spl6_96
| ~ spl6_4
| ~ spl6_24 ),
inference(avatar_split_clause,[],[f393,f360,f260,f1039]) ).
fof(f1039,plain,
( spl6_96
<=> sz00 = sdtasdt0(sz00,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_96])]) ).
fof(f393,plain,
( sz00 = sdtasdt0(sz00,xp)
| ~ spl6_4
| ~ spl6_24 ),
inference(resolution,[],[f361,f262]) ).
fof(f1037,plain,
( spl6_95
| ~ spl6_3
| ~ spl6_24 ),
inference(avatar_split_clause,[],[f392,f360,f255,f1034]) ).
fof(f1034,plain,
( spl6_95
<=> sz00 = sdtasdt0(sz00,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_95])]) ).
fof(f392,plain,
( sz00 = sdtasdt0(sz00,xm)
| ~ spl6_3
| ~ spl6_24 ),
inference(resolution,[],[f361,f257]) ).
fof(f1032,plain,
( spl6_94
| ~ spl6_2
| ~ spl6_24 ),
inference(avatar_split_clause,[],[f391,f360,f250,f1029]) ).
fof(f391,plain,
( sz00 = sdtasdt0(sz00,xn)
| ~ spl6_2
| ~ spl6_24 ),
inference(resolution,[],[f361,f252]) ).
fof(f1027,plain,
( spl6_93
| ~ spl6_4
| ~ spl6_23 ),
inference(avatar_split_clause,[],[f388,f356,f260,f1024]) ).
fof(f388,plain,
( sz00 = sdtasdt0(xp,sz00)
| ~ spl6_4
| ~ spl6_23 ),
inference(resolution,[],[f357,f262]) ).
fof(f1022,plain,
( spl6_91
| ~ spl6_92
| ~ spl6_22
| ~ spl6_25 ),
inference(avatar_split_clause,[],[f497,f364,f352,f1019,f1015]) ).
fof(f1015,plain,
( spl6_91
<=> isPrime0(xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_91])]) ).
fof(f1019,plain,
( spl6_92
<=> sP0(xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_92])]) ).
fof(f364,plain,
( spl6_25
<=> sP1(xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_25])]) ).
fof(f497,plain,
( ~ sP0(xm)
| isPrime0(xm)
| ~ spl6_22
| ~ spl6_25 ),
inference(resolution,[],[f366,f353]) ).
fof(f366,plain,
( sP1(xm)
| ~ spl6_25 ),
inference(avatar_component_clause,[],[f364]) ).
fof(f1013,plain,
( spl6_90
| ~ spl6_3
| ~ spl6_23 ),
inference(avatar_split_clause,[],[f387,f356,f255,f1010]) ).
fof(f387,plain,
( sz00 = sdtasdt0(xm,sz00)
| ~ spl6_3
| ~ spl6_23 ),
inference(resolution,[],[f357,f257]) ).
fof(f1008,plain,
( spl6_89
| ~ spl6_2
| ~ spl6_23 ),
inference(avatar_split_clause,[],[f386,f356,f250,f1005]) ).
fof(f386,plain,
( sz00 = sdtasdt0(xn,sz00)
| ~ spl6_2
| ~ spl6_23 ),
inference(resolution,[],[f357,f252]) ).
fof(f999,plain,
spl6_88,
inference(avatar_split_clause,[],[f158,f997]) ).
fof(f158,plain,
! [X2,X0,X1] :
( ~ isPrime0(X2)
| ~ iLess0(X0,xn)
| sdtasdt0(X2,sdtasdt0(X1,X1)) != sdtasdt0(X0,X0)
| sz00 = X2
| sz00 = X1
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X1,X2] :
( ~ isPrime0(X2)
| ~ iLess0(X0,xn)
| sdtasdt0(X2,sdtasdt0(X1,X1)) != sdtasdt0(X0,X0)
| sz00 = X2
| sz00 = X1
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f53]) ).
fof(f53,plain,
! [X0,X1,X2] :
( ~ isPrime0(X2)
| ~ iLess0(X0,xn)
| sdtasdt0(X2,sdtasdt0(X1,X1)) != sdtasdt0(X0,X0)
| sz00 = X2
| sz00 = X1
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X0,X1,X2] :
( ( sz00 != X2
& sz00 != X1
& sz00 != X0
& aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sdtasdt0(X2,sdtasdt0(X1,X1)) = sdtasdt0(X0,X0)
=> ( iLess0(X0,xn)
=> ~ isPrime0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2963) ).
fof(f981,plain,
spl6_87,
inference(avatar_split_clause,[],[f238,f979]) ).
fof(f238,plain,
! [X2,X0] :
( sdtsldt0(sdtasdt0(X0,X2),X0) = X2
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X0,sdtasdt0(X0,X2))
| sz00 = X0
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f207]) ).
fof(f207,plain,
! [X2,X0,X1] :
( sdtsldt0(X1,X0) = X2
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtsldt0(X1,X0) = X2
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
& ( ( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) )
| sdtsldt0(X1,X0) != X2 ) )
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f134]) ).
fof(f134,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtsldt0(X1,X0) = X2
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
& ( ( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) )
| sdtsldt0(X1,X0) != X2 ) )
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(nnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0,X1] :
( ! [X2] :
( sdtsldt0(X1,X0) = X2
<=> ( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f91]) ).
fof(f91,plain,
! [X0,X1] :
( ! [X2] :
( sdtsldt0(X1,X0) = X2
<=> ( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X0,X1)
& sz00 != X0 )
=> ! [X2] :
( sdtsldt0(X1,X0) = X2
<=> ( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefQuot) ).
fof(f977,plain,
spl6_86,
inference(avatar_split_clause,[],[f204,f975]) ).
fof(f204,plain,
! [X2,X0,X1] :
( sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0,X1] :
( ! [X2] :
( sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0)
| ~ aNaturalNumber0(X2) )
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f89]) ).
fof(f89,plain,
! [X0,X1] :
( ! [X2] :
( sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0)
| ~ aNaturalNumber0(X2) )
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X0,X1)
& sz00 != X0 )
=> ! [X2] :
( aNaturalNumber0(X2)
=> sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivAsso) ).
fof(f955,plain,
spl6_85,
inference(avatar_split_clause,[],[f224,f953]) ).
fof(f224,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0,X1,X2] :
( ( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X0,X1) != sdtasdt0(X0,X2) )
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f109]) ).
fof(f109,plain,
! [X0,X1,X2] :
( ( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X0,X1) != sdtasdt0(X0,X2) )
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X2)
& X1 != X2
& sz00 != X0 )
=> ( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X0,X1) != sdtasdt0(X0,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMonMul) ).
fof(f951,plain,
spl6_84,
inference(avatar_split_clause,[],[f222,f949]) ).
fof(f222,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f939,plain,
spl6_83,
inference(avatar_split_clause,[],[f235,f937]) ).
fof(f235,plain,
! [X2,X0] :
( sdtmndt0(sdtpldt0(X0,X2),X0) = X2
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X0,sdtpldt0(X0,X2))
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f195]) ).
fof(f195,plain,
! [X2,X0,X1] :
( sdtmndt0(X1,X0) = X2
| sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtmndt0(X1,X0) = X2
| sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
& ( ( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) )
| sdtmndt0(X1,X0) != X2 ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f132]) ).
fof(f132,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtmndt0(X1,X0) = X2
| sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
& ( ( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) )
| sdtmndt0(X1,X0) != X2 ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(nnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( ! [X2] :
( sdtmndt0(X1,X0) = X2
<=> ( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f79]) ).
fof(f79,plain,
! [X0,X1] :
( ! [X2] :
( sdtmndt0(X1,X0) = X2
<=> ( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sdtlseqdt0(X0,X1)
=> ! [X2] :
( sdtmndt0(X1,X0) = X2
<=> ( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiff) ).
fof(f879,plain,
spl6_82,
inference(avatar_split_clause,[],[f220,f877]) ).
fof(f220,plain,
! [X2,X0,X1] :
( doDivides0(X2,X1)
| doDivides0(X2,X0)
| ~ doDivides0(X2,sdtasdt0(X0,X1))
| ~ isPrime0(X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0,X1,X2] :
( doDivides0(X2,X1)
| doDivides0(X2,X0)
| ~ doDivides0(X2,sdtasdt0(X0,X1))
| ~ isPrime0(X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f107]) ).
fof(f107,plain,
! [X0,X1,X2] :
( doDivides0(X2,X1)
| doDivides0(X2,X0)
| ~ doDivides0(X2,sdtasdt0(X0,X1))
| ~ isPrime0(X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X2,sdtasdt0(X0,X1))
& isPrime0(X2) )
=> ( doDivides0(X2,X1)
| doDivides0(X2,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mPDP) ).
fof(f875,plain,
spl6_81,
inference(avatar_split_clause,[],[f219,f873]) ).
fof(f219,plain,
! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0,X1,X2] :
( ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f105]) ).
fof(f105,plain,
! [X0,X1,X2] :
( ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAMDistr) ).
fof(f871,plain,
spl6_80,
inference(avatar_split_clause,[],[f218,f869]) ).
fof(f218,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f867,plain,
spl6_79,
inference(avatar_split_clause,[],[f203,f865]) ).
fof(f203,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
& sdtpldt0(X1,X2) != sdtpldt0(X0,X2)
& sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
& sdtpldt0(X2,X0) != sdtpldt0(X2,X1) )
| ~ aNaturalNumber0(X2) )
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f87]) ).
fof(f87,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
& sdtpldt0(X1,X2) != sdtpldt0(X0,X2)
& sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
& sdtpldt0(X2,X0) != sdtpldt0(X2,X1) )
| ~ aNaturalNumber0(X2) )
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X0,X1)
& X0 != X1 )
=> ! [X2] :
( aNaturalNumber0(X2)
=> ( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
& sdtpldt0(X1,X2) != sdtpldt0(X0,X2)
& sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
& sdtpldt0(X2,X0) != sdtpldt0(X2,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMonAdd) ).
fof(f863,plain,
spl6_78,
inference(avatar_split_clause,[],[f201,f861]) ).
fof(f201,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f859,plain,
spl6_77,
inference(avatar_split_clause,[],[f172,f857]) ).
fof(f172,plain,
! [X2,X0,X1] :
( X1 = X2
| sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0] :
( ! [X1,X2] :
( X1 = X2
| ( sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtasdt0(X0,X1) != sdtasdt0(X0,X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f61]) ).
fof(f61,plain,
! [X0] :
( ! [X1,X2] :
( X1 = X2
| ( sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtasdt0(X0,X1) != sdtasdt0(X0,X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sz00 != X0
=> ! [X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1) )
=> ( ( sdtasdt0(X1,X0) = sdtasdt0(X2,X0)
| sdtasdt0(X0,X1) = sdtasdt0(X0,X2) )
=> X1 = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulCanc) ).
fof(f855,plain,
spl6_76,
inference(avatar_split_clause,[],[f171,f853]) ).
fof(f171,plain,
! [X2,X0,X1] :
( X1 = X2
| sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f837,plain,
( spl6_74
| ~ spl6_75
| ~ spl6_19
| ~ spl6_22 ),
inference(avatar_split_clause,[],[f459,f352,f339,f834,f830]) ).
fof(f830,plain,
( spl6_74
<=> isPrime0(xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_74])]) ).
fof(f834,plain,
( spl6_75
<=> sP0(xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_75])]) ).
fof(f339,plain,
( spl6_19
<=> sP1(xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_19])]) ).
fof(f459,plain,
( ~ sP0(xn)
| isPrime0(xn)
| ~ spl6_19
| ~ spl6_22 ),
inference(resolution,[],[f341,f353]) ).
fof(f341,plain,
( sP1(xn)
| ~ spl6_19 ),
inference(avatar_component_clause,[],[f339]) ).
fof(f794,plain,
spl6_73,
inference(avatar_split_clause,[],[f239,f792]) ).
fof(f239,plain,
! [X0,X1] :
( sdtasdt0(X0,sdtsldt0(X1,X0)) = X1
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f206]) ).
fof(f206,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X2) = X1
| sdtsldt0(X1,X0) != X2
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f790,plain,
spl6_72,
inference(avatar_split_clause,[],[f227,f788]) ).
fof(f227,plain,
! [X2,X0,X1] :
( doDivides0(X0,X2)
| ~ doDivides0(X0,sdtpldt0(X1,X2))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0,X1,X2] :
( doDivides0(X0,X2)
| ~ doDivides0(X0,sdtpldt0(X1,X2))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f115]) ).
fof(f115,plain,
! [X0,X1,X2] :
( doDivides0(X0,X2)
| ~ doDivides0(X0,sdtpldt0(X1,X2))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X0,sdtpldt0(X1,X2))
& doDivides0(X0,X1) )
=> doDivides0(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivMin) ).
fof(f786,plain,
spl6_71,
inference(avatar_split_clause,[],[f226,f784]) ).
fof(f226,plain,
! [X2,X0,X1] :
( doDivides0(X0,sdtpldt0(X1,X2))
| ~ doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0,X1,X2] :
( doDivides0(X0,sdtpldt0(X1,X2))
| ~ doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f113]) ).
fof(f113,plain,
! [X0,X1,X2] :
( doDivides0(X0,sdtpldt0(X1,X2))
| ~ doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X0,X2)
& doDivides0(X0,X1) )
=> doDivides0(X0,sdtpldt0(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivSum) ).
fof(f782,plain,
spl6_70,
inference(avatar_split_clause,[],[f217,f780]) ).
fof(f217,plain,
! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0,X1,X2] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f103]) ).
fof(f103,plain,
! [X0,X1,X2] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulAsso) ).
fof(f778,plain,
spl6_69,
inference(avatar_split_clause,[],[f216,f776]) ).
fof(f216,plain,
! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0,X1,X2] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f101]) ).
fof(f101,plain,
! [X0,X1,X2] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddAsso) ).
fof(f768,plain,
spl6_68,
inference(avatar_split_clause,[],[f230,f766]) ).
fof(f766,plain,
( spl6_68
<=> ! [X2,X0,X1] :
( X1 = X2
| sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_68])]) ).
fof(f230,plain,
! [X2,X0,X1] :
( X1 = X2
| sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0,X1,X2] :
( X1 = X2
| ( sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
& sdtpldt0(X0,X1) != sdtpldt0(X0,X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f119]) ).
fof(f119,plain,
! [X0,X1,X2] :
( X1 = X2
| ( sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
& sdtpldt0(X0,X1) != sdtpldt0(X0,X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtpldt0(X1,X0) = sdtpldt0(X2,X0)
| sdtpldt0(X0,X1) = sdtpldt0(X0,X2) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddCanc) ).
fof(f764,plain,
spl6_67,
inference(avatar_split_clause,[],[f229,f762]) ).
fof(f762,plain,
( spl6_67
<=> ! [X2,X0,X1] :
( X1 = X2
| sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_67])]) ).
fof(f229,plain,
! [X2,X0,X1] :
( X1 = X2
| sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f738,plain,
spl6_66,
inference(avatar_split_clause,[],[f228,f736]) ).
fof(f228,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f117]) ).
fof(f117,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X0,X1) )
=> sdtlseqdt0(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETran) ).
fof(f734,plain,
spl6_65,
inference(avatar_split_clause,[],[f225,f732]) ).
fof(f225,plain,
! [X2,X0,X1] :
( doDivides0(X0,X2)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0,X1,X2] :
( doDivides0(X0,X2)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f111]) ).
fof(f111,plain,
! [X0,X1,X2] :
( doDivides0(X0,X2)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X1,X2)
& doDivides0(X0,X1) )
=> doDivides0(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivTrans) ).
fof(f730,plain,
spl6_64,
inference(avatar_split_clause,[],[f198,f728]) ).
fof(f198,plain,
! [X0,X1] :
( sz00 = X1
| sz00 = X0
| sz00 != sdtasdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0,X1] :
( sz00 = X1
| sz00 = X0
| sz00 != sdtasdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f83]) ).
fof(f83,plain,
! [X0,X1] :
( sz00 = X1
| sz00 = X0
| sz00 != sdtasdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sz00 = sdtasdt0(X0,X1)
=> ( sz00 = X1
| sz00 = X0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroMul) ).
fof(f681,plain,
spl6_63,
inference(avatar_split_clause,[],[f240,f679]) ).
fof(f240,plain,
! [X0,X1] :
( aNaturalNumber0(sdtsldt0(X1,X0))
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f205]) ).
fof(f205,plain,
! [X2,X0,X1] :
( aNaturalNumber0(X2)
| sdtsldt0(X1,X0) != X2
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f677,plain,
spl6_62,
inference(avatar_split_clause,[],[f236,f675]) ).
fof(f236,plain,
! [X0,X1] :
( sdtpldt0(X0,sdtmndt0(X1,X0)) = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f194]) ).
fof(f194,plain,
! [X2,X0,X1] :
( sdtpldt0(X0,X2) = X1
| sdtmndt0(X1,X0) != X2
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f673,plain,
spl6_61,
inference(avatar_split_clause,[],[f214,f671]) ).
fof(f214,plain,
! [X0,X1] :
( sdtpldt0(X0,sK5(X0,X1)) = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ! [X2] :
( sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) ) )
& ( ( sdtpldt0(X0,sK5(X0,X1)) = X1
& aNaturalNumber0(sK5(X0,X1)) )
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f141,f142]) ).
fof(f142,plain,
! [X0,X1] :
( ? [X3] :
( sdtpldt0(X0,X3) = X1
& aNaturalNumber0(X3) )
=> ( sdtpldt0(X0,sK5(X0,X1)) = X1
& aNaturalNumber0(sK5(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f141,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ! [X2] :
( sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) ) )
& ( ? [X3] :
( sdtpldt0(X0,X3) = X1
& aNaturalNumber0(X3) )
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(rectify,[],[f140]) ).
fof(f140,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ! [X2] :
( sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) ) )
& ( ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) )
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(nnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f99]) ).
fof(f99,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefLE) ).
fof(f669,plain,
spl6_60,
inference(avatar_split_clause,[],[f211,f667]) ).
fof(f211,plain,
! [X0,X1] :
( sdtasdt0(X0,sK4(X0,X1)) = X1
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
! [X0,X1] :
( ( ( doDivides0(X0,X1)
| ! [X2] :
( sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) ) )
& ( ( sdtasdt0(X0,sK4(X0,X1)) = X1
& aNaturalNumber0(sK4(X0,X1)) )
| ~ doDivides0(X0,X1) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f137,f138]) ).
fof(f138,plain,
! [X0,X1] :
( ? [X3] :
( sdtasdt0(X0,X3) = X1
& aNaturalNumber0(X3) )
=> ( sdtasdt0(X0,sK4(X0,X1)) = X1
& aNaturalNumber0(sK4(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f137,plain,
! [X0,X1] :
( ( ( doDivides0(X0,X1)
| ! [X2] :
( sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) ) )
& ( ? [X3] :
( sdtasdt0(X0,X3) = X1
& aNaturalNumber0(X3) )
| ~ doDivides0(X0,X1) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(rectify,[],[f136]) ).
fof(f136,plain,
! [X0,X1] :
( ( ( doDivides0(X0,X1)
| ! [X2] :
( sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) ) )
& ( ? [X2] :
( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) )
| ~ doDivides0(X0,X1) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(nnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f97]) ).
fof(f97,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( doDivides0(X0,X1)
<=> ? [X2] :
( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiv) ).
fof(f638,plain,
( spl6_59
| ~ spl6_6
| ~ spl6_16 ),
inference(avatar_split_clause,[],[f324,f320,f270,f635]) ).
fof(f324,plain,
( sP1(sz10)
| ~ spl6_6
| ~ spl6_16 ),
inference(resolution,[],[f321,f272]) ).
fof(f618,plain,
spl6_58,
inference(avatar_split_clause,[],[f242,f616]) ).
fof(f242,plain,
! [X2,X0] :
( sdtlseqdt0(X0,sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f215]) ).
fof(f215,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f614,plain,
spl6_57,
inference(avatar_split_clause,[],[f241,f612]) ).
fof(f241,plain,
! [X2,X0] :
( doDivides0(X0,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f212]) ).
fof(f212,plain,
! [X2,X0,X1] :
( doDivides0(X0,X1)
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f139]) ).
fof(f610,plain,
spl6_56,
inference(avatar_split_clause,[],[f209,f608]) ).
fof(f209,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f95]) ).
fof(f95,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X0)
& sdtlseqdt0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEAsym) ).
fof(f606,plain,
spl6_55,
inference(avatar_split_clause,[],[f208,f604]) ).
fof(f208,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sz00 = X1
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sz00 = X1
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f93]) ).
fof(f93,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sz00 = X1
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sz00 != X1
& doDivides0(X0,X1) )
=> sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivLE) ).
fof(f602,plain,
spl6_54,
inference(avatar_split_clause,[],[f199,f600]) ).
fof(f199,plain,
! [X0,X1] :
( iLess0(X0,X1)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0,X1] :
( iLess0(X0,X1)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f85]) ).
fof(f85,plain,
! [X0,X1] :
( iLess0(X0,X1)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X0,X1)
& X0 != X1 )
=> iLess0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIH_03) ).
fof(f598,plain,
spl6_53,
inference(avatar_split_clause,[],[f177,f596]) ).
fof(f177,plain,
! [X2,X0] :
( X0 = X2
| sz10 = X2
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(X2)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0] :
( ( sP0(X0)
| ( sK2(X0) != X0
& sz10 != sK2(X0)
& doDivides0(sK2(X0),X0)
& aNaturalNumber0(sK2(X0)) )
| sz10 = X0
| sz00 = X0 )
& ( ( ! [X2] :
( X0 = X2
| sz10 = X2
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(X2) )
& sz10 != X0
& sz00 != X0 )
| ~ sP0(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f127,f128]) ).
fof(f128,plain,
! [X0] :
( ? [X1] :
( X0 != X1
& sz10 != X1
& doDivides0(X1,X0)
& aNaturalNumber0(X1) )
=> ( sK2(X0) != X0
& sz10 != sK2(X0)
& doDivides0(sK2(X0),X0)
& aNaturalNumber0(sK2(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f127,plain,
! [X0] :
( ( sP0(X0)
| ? [X1] :
( X0 != X1
& sz10 != X1
& doDivides0(X1,X0)
& aNaturalNumber0(X1) )
| sz10 = X0
| sz00 = X0 )
& ( ( ! [X2] :
( X0 = X2
| sz10 = X2
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(X2) )
& sz10 != X0
& sz00 != X0 )
| ~ sP0(X0) ) ),
inference(rectify,[],[f126]) ).
fof(f126,plain,
! [X0] :
( ( sP0(X0)
| ? [X1] :
( X0 != X1
& sz10 != X1
& doDivides0(X1,X0)
& aNaturalNumber0(X1) )
| sz10 = X0
| sz00 = X0 )
& ( ( ! [X1] :
( X0 = X1
| sz10 = X1
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1) )
& sz10 != X0
& sz00 != X0 )
| ~ sP0(X0) ) ),
inference(flattening,[],[f125]) ).
fof(f125,plain,
! [X0] :
( ( sP0(X0)
| ? [X1] :
( X0 != X1
& sz10 != X1
& doDivides0(X1,X0)
& aNaturalNumber0(X1) )
| sz10 = X0
| sz00 = X0 )
& ( ( ! [X1] :
( X0 = X1
| sz10 = X1
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1) )
& sz10 != X0
& sz00 != X0 )
| ~ sP0(X0) ) ),
inference(nnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0] :
( sP0(X0)
<=> ( ! [X1] :
( X0 = X1
| sz10 = X1
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1) )
& sz10 != X0
& sz00 != X0 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f594,plain,
( spl6_52
| ~ spl6_5
| ~ spl6_16 ),
inference(avatar_split_clause,[],[f323,f320,f265,f591]) ).
fof(f323,plain,
( sP1(sz00)
| ~ spl6_5
| ~ spl6_16 ),
inference(resolution,[],[f321,f267]) ).
fof(f587,plain,
spl6_51,
inference(avatar_split_clause,[],[f197,f585]) ).
fof(f585,plain,
( spl6_51
<=> ! [X0,X1] :
( sz00 = X1
| sz00 != sdtpldt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_51])]) ).
fof(f197,plain,
! [X0,X1] :
( sz00 = X1
| sz00 != sdtpldt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0,X1] :
( ( sz00 = X1
& sz00 = X0 )
| sz00 != sdtpldt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f81]) ).
fof(f81,plain,
! [X0,X1] :
( ( sz00 = X1
& sz00 = X0 )
| sz00 != sdtpldt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sz00 = sdtpldt0(X0,X1)
=> ( sz00 = X1
& sz00 = X0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroAdd) ).
fof(f583,plain,
spl6_50,
inference(avatar_split_clause,[],[f196,f581]) ).
fof(f581,plain,
( spl6_50
<=> ! [X0,X1] :
( sz00 = X0
| sz00 != sdtpldt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_50])]) ).
fof(f196,plain,
! [X0,X1] :
( sz00 = X0
| sz00 != sdtpldt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f579,plain,
spl6_49,
inference(avatar_split_clause,[],[f192,f577]) ).
fof(f192,plain,
! [X0,X1] :
( sdtlseqdt0(X1,sdtasdt0(X1,X0))
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0,X1] :
( sdtlseqdt0(X1,sdtasdt0(X1,X0))
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f77]) ).
fof(f77,plain,
! [X0,X1] :
( sdtlseqdt0(X1,sdtasdt0(X1,X0))
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sz00 != X0
=> sdtlseqdt0(X1,sdtasdt0(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMonMul2) ).
fof(f575,plain,
spl6_48,
inference(avatar_split_clause,[],[f184,f573]) ).
fof(f184,plain,
! [X0] :
( doDivides0(sK3(X0),X0)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0] :
( ( isPrime0(sK3(X0))
& doDivides0(sK3(X0),X0)
& aNaturalNumber0(sK3(X0)) )
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f66,f130]) ).
fof(f130,plain,
! [X0] :
( ? [X1] :
( isPrime0(X1)
& doDivides0(X1,X0)
& aNaturalNumber0(X1) )
=> ( isPrime0(sK3(X0))
& doDivides0(sK3(X0),X0)
& aNaturalNumber0(sK3(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f66,plain,
! [X0] :
( ? [X1] :
( isPrime0(X1)
& doDivides0(X1,X0)
& aNaturalNumber0(X1) )
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f65]) ).
fof(f65,plain,
! [X0] :
( ? [X1] :
( isPrime0(X1)
& doDivides0(X1,X0)
& aNaturalNumber0(X1) )
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0] :
( ( sz10 != X0
& sz00 != X0
& aNaturalNumber0(X0) )
=> ? [X1] :
( isPrime0(X1)
& doDivides0(X1,X0)
& aNaturalNumber0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mPrimDiv) ).
fof(f571,plain,
spl6_47,
inference(avatar_split_clause,[],[f181,f569]) ).
fof(f569,plain,
( spl6_47
<=> ! [X0] :
( sP0(X0)
| sK2(X0) != X0
| sz10 = X0
| sz00 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_47])]) ).
fof(f181,plain,
! [X0] :
( sP0(X0)
| sK2(X0) != X0
| sz10 = X0
| sz00 = X0 ),
inference(cnf_transformation,[],[f129]) ).
fof(f565,plain,
spl6_46,
inference(avatar_split_clause,[],[f180,f563]) ).
fof(f563,plain,
( spl6_46
<=> ! [X0] :
( sP0(X0)
| sz10 != sK2(X0)
| sz10 = X0
| sz00 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_46])]) ).
fof(f180,plain,
! [X0] :
( sP0(X0)
| sz10 != sK2(X0)
| sz10 = X0
| sz00 = X0 ),
inference(cnf_transformation,[],[f129]) ).
fof(f561,plain,
spl6_45,
inference(avatar_split_clause,[],[f179,f559]) ).
fof(f179,plain,
! [X0] :
( sP0(X0)
| doDivides0(sK2(X0),X0)
| sz10 = X0
| sz00 = X0 ),
inference(cnf_transformation,[],[f129]) ).
fof(f496,plain,
spl6_44,
inference(avatar_split_clause,[],[f237,f494]) ).
fof(f237,plain,
! [X0,X1] :
( aNaturalNumber0(sdtmndt0(X1,X0))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f193]) ).
fof(f193,plain,
! [X2,X0,X1] :
( aNaturalNumber0(X2)
| sdtmndt0(X1,X0) != X2
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f492,plain,
spl6_43,
inference(avatar_split_clause,[],[f213,f490]) ).
fof(f213,plain,
! [X0,X1] :
( aNaturalNumber0(sK5(X0,X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f488,plain,
spl6_42,
inference(avatar_split_clause,[],[f210,f486]) ).
fof(f210,plain,
! [X0,X1] :
( aNaturalNumber0(sK4(X0,X1))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f139]) ).
fof(f484,plain,
spl6_41,
inference(avatar_split_clause,[],[f189,f482]) ).
fof(f189,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f73]) ).
fof(f73,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulComm) ).
fof(f480,plain,
spl6_40,
inference(avatar_split_clause,[],[f188,f478]) ).
fof(f188,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f71]) ).
fof(f71,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddComm) ).
fof(f476,plain,
spl6_39,
inference(avatar_split_clause,[],[f185,f474]) ).
fof(f474,plain,
( spl6_39
<=> ! [X0] :
( isPrime0(sK3(X0))
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_39])]) ).
fof(f185,plain,
! [X0] :
( isPrime0(sK3(X0))
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f472,plain,
spl6_38,
inference(avatar_split_clause,[],[f183,f470]) ).
fof(f183,plain,
! [X0] :
( aNaturalNumber0(sK3(X0))
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f468,plain,
spl6_37,
inference(avatar_split_clause,[],[f178,f466]) ).
fof(f178,plain,
! [X0] :
( sP0(X0)
| aNaturalNumber0(sK2(X0))
| sz10 = X0
| sz00 = X0 ),
inference(cnf_transformation,[],[f129]) ).
fof(f464,plain,
spl6_36,
inference(avatar_split_clause,[],[f170,f462]) ).
fof(f170,plain,
! [X0] :
( sdtlseqdt0(sz10,X0)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0] :
( ( sdtlseqdt0(sz10,X0)
& sz10 != X0 )
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f59]) ).
fof(f59,plain,
! [X0] :
( ( sdtlseqdt0(sz10,X0)
& sz10 != X0 )
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( ( sdtlseqdt0(sz10,X0)
& sz10 != X0 )
| sz10 = X0
| sz00 = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLENTr) ).
fof(f456,plain,
spl6_35,
inference(avatar_split_clause,[],[f191,f454]) ).
fof(f191,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( ( sdtlseqdt0(X1,X0)
& X0 != X1 )
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f75]) ).
fof(f75,plain,
! [X0,X1] :
( ( sdtlseqdt0(X1,X0)
& X0 != X1 )
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X0)
& X0 != X1 )
| sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETotal) ).
fof(f450,plain,
spl6_34,
inference(avatar_split_clause,[],[f147,f447]) ).
fof(f147,plain,
sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn),
inference(cnf_transformation,[],[f42]) ).
fof(f42,axiom,
sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3014) ).
fof(f445,plain,
spl6_33,
inference(avatar_split_clause,[],[f146,f442]) ).
fof(f146,plain,
sdtasdt0(xm,xm) = sdtasdt0(xp,sdtasdt0(xq,xq)),
inference(cnf_transformation,[],[f46]) ).
fof(f46,axiom,
sdtasdt0(xm,xm) = sdtasdt0(xp,sdtasdt0(xq,xq)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3082) ).
fof(f426,plain,
spl6_32,
inference(avatar_split_clause,[],[f187,f424]) ).
fof(f187,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f69]) ).
fof(f69,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f422,plain,
spl6_31,
inference(avatar_split_clause,[],[f186,f420]) ).
fof(f186,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f67]) ).
fof(f67,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB) ).
fof(f418,plain,
( spl6_30
| ~ spl6_4
| ~ spl6_16 ),
inference(avatar_split_clause,[],[f327,f320,f260,f415]) ).
fof(f327,plain,
( sP1(xp)
| ~ spl6_4
| ~ spl6_16 ),
inference(resolution,[],[f321,f262]) ).
fof(f383,plain,
spl6_29,
inference(avatar_split_clause,[],[f168,f381]) ).
fof(f168,plain,
! [X0] :
( sdtasdt0(sz10,X0) = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0] :
( ( sdtasdt0(sz10,X0) = X0
& sdtasdt0(X0,sz10) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtasdt0(sz10,X0) = X0
& sdtasdt0(X0,sz10) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_MulUnit) ).
fof(f379,plain,
spl6_28,
inference(avatar_split_clause,[],[f167,f377]) ).
fof(f167,plain,
! [X0] :
( sdtasdt0(X0,sz10) = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f375,plain,
spl6_27,
inference(avatar_split_clause,[],[f166,f373]) ).
fof(f166,plain,
! [X0] :
( sdtpldt0(sz00,X0) = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0] :
( ( sdtpldt0(sz00,X0) = X0
& sdtpldt0(X0,sz00) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtpldt0(sz00,X0) = X0
& sdtpldt0(X0,sz00) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_AddZero) ).
fof(f371,plain,
spl6_26,
inference(avatar_split_clause,[],[f165,f369]) ).
fof(f165,plain,
! [X0] :
( sdtpldt0(X0,sz00) = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f367,plain,
( spl6_25
| ~ spl6_3
| ~ spl6_16 ),
inference(avatar_split_clause,[],[f326,f320,f255,f364]) ).
fof(f326,plain,
( sP1(xm)
| ~ spl6_3
| ~ spl6_16 ),
inference(resolution,[],[f321,f257]) ).
fof(f362,plain,
spl6_24,
inference(avatar_split_clause,[],[f164,f360]) ).
fof(f164,plain,
! [X0] :
( sz00 = sdtasdt0(sz00,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0] :
( ( sz00 = sdtasdt0(sz00,X0)
& sz00 = sdtasdt0(X0,sz00) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sz00 = sdtasdt0(sz00,X0)
& sz00 = sdtasdt0(X0,sz00) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_MulZero) ).
fof(f358,plain,
spl6_23,
inference(avatar_split_clause,[],[f163,f356]) ).
fof(f163,plain,
! [X0] :
( sz00 = sdtasdt0(X0,sz00)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f354,plain,
spl6_22,
inference(avatar_split_clause,[],[f174,f352]) ).
fof(f174,plain,
! [X0] :
( isPrime0(X0)
| ~ sP0(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0] :
( ( ( isPrime0(X0)
| ~ sP0(X0) )
& ( sP0(X0)
| ~ isPrime0(X0) ) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0] :
( ( isPrime0(X0)
<=> sP0(X0) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f350,plain,
spl6_21,
inference(avatar_split_clause,[],[f173,f348]) ).
fof(f173,plain,
! [X0] :
( sP0(X0)
| ~ isPrime0(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f346,plain,
spl6_20,
inference(avatar_split_clause,[],[f162,f344]) ).
fof(f162,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLERefl) ).
fof(f342,plain,
( spl6_19
| ~ spl6_2
| ~ spl6_16 ),
inference(avatar_split_clause,[],[f325,f320,f250,f339]) ).
fof(f325,plain,
( sP1(xn)
| ~ spl6_2
| ~ spl6_16 ),
inference(resolution,[],[f321,f252]) ).
fof(f337,plain,
spl6_18,
inference(avatar_split_clause,[],[f156,f334]) ).
fof(f156,plain,
doDivides0(xp,sdtasdt0(xn,xn)),
inference(cnf_transformation,[],[f44]) ).
fof(f44,axiom,
( doDivides0(xp,xn)
& doDivides0(xp,sdtasdt0(xn,xn)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3046) ).
fof(f332,plain,
spl6_17,
inference(avatar_split_clause,[],[f145,f329]) ).
fof(f145,plain,
xq = sdtsldt0(xn,xp),
inference(cnf_transformation,[],[f45]) ).
fof(f45,axiom,
xq = sdtsldt0(xn,xp),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3059) ).
fof(f322,plain,
spl6_16,
inference(avatar_split_clause,[],[f182,f320]) ).
fof(f182,plain,
! [X0] :
( sP1(X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0] :
( sP1(X0)
| ~ aNaturalNumber0(X0) ),
inference(definition_folding,[],[f64,f122,f121]) ).
fof(f64,plain,
! [X0] :
( ( isPrime0(X0)
<=> ( ! [X1] :
( X0 = X1
| sz10 = X1
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1) )
& sz10 != X0
& sz00 != X0 ) )
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f63]) ).
fof(f63,plain,
! [X0] :
( ( isPrime0(X0)
<=> ( ! [X1] :
( X0 = X1
| sz10 = X1
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1) )
& sz10 != X0
& sz00 != X0 ) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( isPrime0(X0)
<=> ( ! [X1] :
( ( doDivides0(X1,X0)
& aNaturalNumber0(X1) )
=> ( X0 = X1
| sz10 = X1 ) )
& sz10 != X0
& sz00 != X0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefPrime) ).
fof(f318,plain,
~ spl6_15,
inference(avatar_split_clause,[],[f161,f315]) ).
fof(f161,plain,
sz00 != sz10,
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( sz00 != sz10
& aNaturalNumber0(sz10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC_01) ).
fof(f313,plain,
spl6_14,
inference(avatar_split_clause,[],[f157,f310]) ).
fof(f157,plain,
doDivides0(xp,xn),
inference(cnf_transformation,[],[f44]) ).
fof(f308,plain,
spl6_13,
inference(avatar_split_clause,[],[f155,f305]) ).
fof(f155,plain,
sdtlseqdt0(xm,xn),
inference(cnf_transformation,[],[f47]) ).
fof(f47,axiom,
( sdtlseqdt0(xm,xn)
& xn != xm ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3124) ).
fof(f303,plain,
~ spl6_12,
inference(avatar_split_clause,[],[f154,f300]) ).
fof(f154,plain,
xn != xm,
inference(cnf_transformation,[],[f47]) ).
fof(f298,plain,
~ spl6_11,
inference(avatar_split_clause,[],[f153,f295]) ).
fof(f153,plain,
sz00 != xp,
inference(cnf_transformation,[],[f40]) ).
fof(f40,axiom,
( sz00 != xp
& sz00 != xm
& sz00 != xn
& aNaturalNumber0(xp)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2987) ).
fof(f293,plain,
~ spl6_10,
inference(avatar_split_clause,[],[f152,f290]) ).
fof(f152,plain,
sz00 != xm,
inference(cnf_transformation,[],[f40]) ).
fof(f288,plain,
~ spl6_9,
inference(avatar_split_clause,[],[f151,f285]) ).
fof(f151,plain,
sz00 != xn,
inference(cnf_transformation,[],[f40]) ).
fof(f283,plain,
~ spl6_8,
inference(avatar_split_clause,[],[f233,f280]) ).
fof(f233,plain,
~ sP0(sz00),
inference(equality_resolution,[],[f175]) ).
fof(f175,plain,
! [X0] :
( sz00 != X0
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f278,plain,
~ spl6_7,
inference(avatar_split_clause,[],[f232,f275]) ).
fof(f232,plain,
~ sP0(sz10),
inference(equality_resolution,[],[f176]) ).
fof(f176,plain,
! [X0] :
( sz10 != X0
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f273,plain,
spl6_6,
inference(avatar_split_clause,[],[f160,f270]) ).
fof(f160,plain,
aNaturalNumber0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f268,plain,
spl6_5,
inference(avatar_split_clause,[],[f159,f265]) ).
fof(f159,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).
fof(f263,plain,
spl6_4,
inference(avatar_split_clause,[],[f150,f260]) ).
fof(f150,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f40]) ).
fof(f258,plain,
spl6_3,
inference(avatar_split_clause,[],[f149,f255]) ).
fof(f149,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f40]) ).
fof(f253,plain,
spl6_2,
inference(avatar_split_clause,[],[f148,f250]) ).
fof(f148,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f40]) ).
fof(f248,plain,
spl6_1,
inference(avatar_split_clause,[],[f144,f245]) ).
fof(f144,plain,
isPrime0(xp),
inference(cnf_transformation,[],[f43]) ).
fof(f43,axiom,
isPrime0(xp),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3025) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM529+1 : TPTP v8.2.0. Released v4.0.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon May 20 06:24:38 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % (17177)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (17180)WARNING: value z3 for option sas not known
% 0.13/0.37 % (17180)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.37 % (17183)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.13/0.37 % (17181)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (17179)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37 % (17184)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.13/0.37 % (17182)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.13/0.38 % (17178)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.38 Detected minimum model sizes of [3]
% 0.13/0.38 Detected maximum model sizes of [max]
% 0.13/0.38 TRYING [3]
% 0.13/0.38 Detected minimum model sizes of [3]
% 0.13/0.38 Detected maximum model sizes of [max]
% 0.13/0.38 TRYING [3]
% 0.13/0.39 TRYING [4]
% 0.13/0.40 TRYING [4]
% 0.20/0.45 TRYING [5]
% 0.20/0.47 TRYING [5]
% 1.65/0.60 TRYING [6]
% 2.04/0.67 TRYING [6]
% 2.04/0.68 Detected minimum model sizes of [3]
% 2.04/0.68 Detected maximum model sizes of [max]
% 2.04/0.68 TRYING [3]
% 2.04/0.69 TRYING [4]
% 2.66/0.76 TRYING [5]
% 4.14/1.01 TRYING [6]
% 5.19/1.09 TRYING [7]
% 6.26/1.27 TRYING [7]
% 8.37/1.57 % (17182)First to succeed.
% 8.37/1.58 % (17180)Also succeeded, but the first one will report.
% 8.37/1.60 % (17185)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 8.37/1.60 Detected minimum model sizes of [3]
% 8.37/1.60 % (17182)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-17177"
% 8.37/1.60 Detected maximum model sizes of [max]
% 8.37/1.60 TRYING [3]
% 8.82/1.61 % (17182)Refutation found. Thanks to Tanya!
% 8.82/1.61 % SZS status Theorem for theBenchmark
% 8.82/1.61 % SZS output start Proof for theBenchmark
% See solution above
% 8.82/1.62 % (17182)------------------------------
% 8.82/1.62 % (17182)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 8.82/1.62 % (17182)Termination reason: Refutation
% 8.82/1.62
% 8.82/1.62 % (17182)Memory used [KB]: 14113
% 8.82/1.62 % (17182)Time elapsed: 1.231 s
% 8.82/1.62 % (17182)Instructions burned: 2611 (million)
% 8.82/1.62 % (17177)Success in time 1.244 s
%------------------------------------------------------------------------------