TSTP Solution File: NUM518+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM518+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 14:30:40 EDT 2024
% Result : Theorem 4.85s 1.08s
% Output : Refutation 4.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 662
% Syntax : Number of formulae : 2286 ( 132 unt; 0 def)
% Number of atoms : 9559 (1811 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 13077 (5804 ~;6394 |; 195 &)
% ( 621 <=>; 63 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 613 ( 611 usr; 605 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-2 aty)
% Number of variables : 1913 (1893 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f16823,plain,
$false,
inference(avatar_sat_refutation,[],[f271,f276,f281,f286,f291,f296,f301,f306,f311,f316,f321,f326,f331,f336,f341,f346,f351,f356,f361,f366,f371,f376,f381,f386,f391,f396,f400,f411,f416,f421,f426,f431,f435,f439,f443,f448,f453,f458,f462,f466,f470,f474,f479,f483,f487,f528,f533,f537,f541,f559,f569,f573,f577,f581,f587,f591,f595,f599,f603,f670,f674,f678,f682,f686,f690,f696,f700,f704,f710,f714,f718,f722,f783,f787,f791,f795,f799,f858,f862,f867,f871,f903,f907,f915,f919,f925,f929,f933,f991,f995,f1001,f1005,f1009,f1013,f1064,f1068,f1080,f1084,f1098,f1102,f1122,f1127,f1132,f1137,f1142,f1147,f1152,f1157,f1162,f1167,f1172,f1177,f1182,f1187,f1192,f1197,f1202,f1207,f1212,f1221,f1226,f1231,f1236,f1241,f1246,f1251,f1604,f1609,f1614,f1619,f1624,f1629,f1634,f1639,f1771,f1775,f1817,f1821,f1826,f1830,f1834,f1838,f1842,f1846,f1850,f1978,f1982,f1986,f1990,f1994,f1998,f2003,f2116,f2121,f2126,f2135,f2144,f2154,f2159,f2177,f2201,f2225,f2249,f2272,f2276,f2280,f2284,f2288,f2292,f2296,f2300,f2304,f2323,f2379,f2396,f2409,f2420,f2424,f2428,f2432,f2436,f2440,f2445,f2481,f2485,f2489,f2493,f2498,f2513,f2638,f2669,f2675,f2684,f2689,f2710,f2744,f2750,f2771,f2775,f2780,f2784,f2788,f2792,f2796,f2800,f2804,f2808,f2812,f2816,f2820,f3017,f3078,f3082,f3086,f3090,f3094,f3098,f3102,f3114,f3258,f3263,f3267,f3271,f3275,f3279,f3283,f3287,f3291,f3295,f3299,f3303,f3315,f3319,f3323,f3327,f3388,f3583,f3605,f3612,f3618,f3628,f3634,f3635,f3737,f3805,f3841,f3846,f3896,f3901,f3926,f3932,f3936,f3961,f3966,f4046,f4056,f4137,f4142,f4217,f4253,f4336,f4357,f4363,f4383,f4399,f4404,f4451,f4457,f4537,f4538,f4559,f4563,f4567,f4571,f4575,f4579,f4583,f4587,f4591,f4592,f4900,f4999,f5006,f5025,f5032,f5050,f5055,f5059,f5063,f5067,f5071,f5075,f5079,f5083,f5149,f5262,f5266,f5270,f5274,f5278,f5283,f5287,f5310,f5333,f5337,f5341,f5345,f5349,f5353,f5743,f5754,f5758,f5762,f5766,f5770,f5774,f5798,f6124,f6128,f6133,f6137,f6141,f6145,f6149,f6153,f6157,f6161,f6165,f6169,f6518,f6527,f6556,f6565,f6570,f6599,f6631,f6636,f6656,f6660,f6664,f6668,f6672,f6676,f6680,f6684,f6689,f6693,f6969,f6973,f6977,f6981,f6985,f7165,f7170,f7175,f7210,f7215,f7269,f7273,f7277,f7281,f7286,f7434,f7438,f7442,f7446,f7450,f7455,f7459,f7613,f7617,f7645,f7652,f7656,f7660,f7664,f7668,f7672,f7676,f7680,f7699,f7834,f7859,f7863,f7867,f7871,f7875,f7879,f7883,f7887,f7891,f8281,f8285,f8289,f8315,f8319,f8429,f8433,f8437,f8464,f8468,f8472,f8476,f8804,f8808,f8886,f8890,f8928,f8933,f8937,f9015,f9019,f9023,f9145,f9182,f9186,f9190,f9507,f9511,f9515,f9544,f9548,f9552,f9556,f9560,f9955,f9993,f9997,f10001,f10005,f10126,f10446,f10450,f10454,f10458,f10706,f10742,f10778,f10846,f10914,f10982,f11052,f11089,f11126,f11163,f11202,f11207,f11212,f11217,f11222,f11227,f11232,f11237,f11242,f11247,f11252,f11287,f11293,f11298,f11303,f11308,f11313,f11318,f11323,f11328,f11333,f11338,f11343,f11348,f11353,f11358,f11363,f11369,f11375,f11380,f11385,f11390,f11426,f11431,f11436,f11441,f11446,f11451,f11456,f11461,f11467,f11473,f11479,f11484,f11489,f11494,f11881,f12855,f12860,f12897,f12934,f12939,f12944,f12949,f12954,f12963,f13189,f13193,f13197,f13201,f13205,f13209,f13214,f13218,f13222,f13226,f13230,f13234,f13238,f13242,f13246,f13250,f13254,f13259,f13264,f13271,f13278,f13285,f13292,f13302,f13307,f13317,f13327,f13337,f13343,f13349,f13355,f13406,f13410,f13414,f13418,f13422,f13426,f13431,f13436,f13441,f13446,f14101,f14105,f14109,f14113,f14117,f14121,f14125,f14129,f14133,f14137,f14141,f14145,f14150,f14157,f14162,f14382,f14471,f14535,f14540,f14552,f14557,f14598,f14669,f14674,f14718,f14728,f14818,f14823,f14894,f14905,f15264,f15309,f15397,f15572,f15708,f15911,f15946,f15956,f16028,f16033,f16058,f16092,f16131,f16170,f16203,f16249,f16250,f16258,f16294,f16524,f16529,f16543,f16548,f16624,f16628,f16688,f16694,f16697,f16822]) ).
fof(f16822,plain,
( ~ spl6_163
| spl6_31
| ~ spl6_586 ),
inference(avatar_split_clause,[],[f16264,f15908,f423,f2141]) ).
fof(f2141,plain,
( spl6_163
<=> sz00 = xn ),
introduced(avatar_definition,[new_symbols(naming,[spl6_163])]) ).
fof(f423,plain,
( spl6_31
<=> xn = sdtsldt0(xn,xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_31])]) ).
fof(f15908,plain,
( spl6_586
<=> sz00 = sdtsldt0(xn,xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_586])]) ).
fof(f16264,plain,
( sz00 != xn
| spl6_31
| ~ spl6_586 ),
inference(superposition,[],[f425,f15910]) ).
fof(f15910,plain,
( sz00 = sdtsldt0(xn,xr)
| ~ spl6_586 ),
inference(avatar_component_clause,[],[f15908]) ).
fof(f425,plain,
( xn != sdtsldt0(xn,xr)
| spl6_31 ),
inference(avatar_component_clause,[],[f423]) ).
fof(f16697,plain,
( spl6_163
| ~ spl6_106
| ~ spl6_600 ),
inference(avatar_split_clause,[],[f16549,f16540,f1139,f2141]) ).
fof(f1139,plain,
( spl6_106
<=> sz00 = sdtasdt0(xr,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_106])]) ).
fof(f16540,plain,
( spl6_600
<=> xn = sdtasdt0(xr,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_600])]) ).
fof(f16549,plain,
( sz00 = xn
| ~ spl6_106
| ~ spl6_600 ),
inference(superposition,[],[f16542,f1141]) ).
fof(f1141,plain,
( sz00 = sdtasdt0(xr,sz00)
| ~ spl6_106 ),
inference(avatar_component_clause,[],[f1139]) ).
fof(f16542,plain,
( xn = sdtasdt0(xr,sz00)
| ~ spl6_600 ),
inference(avatar_component_clause,[],[f16540]) ).
fof(f16694,plain,
( spl6_604
| ~ spl6_147
| ~ spl6_205
| ~ spl6_247 ),
inference(avatar_split_clause,[],[f15846,f3576,f2707,f1848,f16691]) ).
fof(f16691,plain,
( spl6_604
<=> xn = sdtasdt0(sdtsldt0(xn,xr),xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_604])]) ).
fof(f1848,plain,
( spl6_147
<=> ! [X0] :
( sdtasdt0(X0,xr) = sdtasdt0(xr,X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_147])]) ).
fof(f2707,plain,
( spl6_205
<=> xn = sdtasdt0(xr,sdtsldt0(xn,xr)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_205])]) ).
fof(f3576,plain,
( spl6_247
<=> aNaturalNumber0(sdtsldt0(xn,xr)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_247])]) ).
fof(f15846,plain,
( xn = sdtasdt0(sdtsldt0(xn,xr),xr)
| ~ spl6_147
| ~ spl6_205
| ~ spl6_247 ),
inference(forward_demodulation,[],[f15729,f2709]) ).
fof(f2709,plain,
( xn = sdtasdt0(xr,sdtsldt0(xn,xr))
| ~ spl6_205 ),
inference(avatar_component_clause,[],[f2707]) ).
fof(f15729,plain,
( sdtasdt0(xr,sdtsldt0(xn,xr)) = sdtasdt0(sdtsldt0(xn,xr),xr)
| ~ spl6_147
| ~ spl6_247 ),
inference(resolution,[],[f3577,f1849]) ).
fof(f1849,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,xr) = sdtasdt0(xr,X0) )
| ~ spl6_147 ),
inference(avatar_component_clause,[],[f1848]) ).
fof(f3577,plain,
( aNaturalNumber0(sdtsldt0(xn,xr))
| ~ spl6_247 ),
inference(avatar_component_clause,[],[f3576]) ).
fof(f16688,plain,
( spl6_603
| ~ spl6_40
| ~ spl6_247 ),
inference(avatar_split_clause,[],[f15711,f3576,f464,f16685]) ).
fof(f16685,plain,
( spl6_603
<=> sz00 = sdtasdt0(sz00,sdtsldt0(xn,xr)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_603])]) ).
fof(f464,plain,
( spl6_40
<=> ! [X0] :
( sz00 = sdtasdt0(sz00,X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_40])]) ).
fof(f15711,plain,
( sz00 = sdtasdt0(sz00,sdtsldt0(xn,xr))
| ~ spl6_40
| ~ spl6_247 ),
inference(resolution,[],[f3577,f465]) ).
fof(f465,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,X0) )
| ~ spl6_40 ),
inference(avatar_component_clause,[],[f464]) ).
fof(f16628,plain,
( spl6_582
| ~ spl6_106
| ~ spl6_586
| ~ spl6_600
| ~ spl6_602 ),
inference(avatar_split_clause,[],[f16627,f16621,f16540,f15908,f1139,f15306]) ).
fof(f15306,plain,
( spl6_582
<=> xn = sdtasdt0(xn,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_582])]) ).
fof(f16621,plain,
( spl6_602
<=> sz00 = sdtasdt0(sdtsldt0(xn,xr),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_602])]) ).
fof(f16627,plain,
( xn = sdtasdt0(xn,xn)
| ~ spl6_106
| ~ spl6_586
| ~ spl6_600
| ~ spl6_602 ),
inference(forward_demodulation,[],[f16626,f16549]) ).
fof(f16626,plain,
( xn = sdtasdt0(sz00,xn)
| ~ spl6_106
| ~ spl6_586
| ~ spl6_600
| ~ spl6_602 ),
inference(forward_demodulation,[],[f16625,f15910]) ).
fof(f16625,plain,
( xn = sdtasdt0(sdtsldt0(xn,xr),xn)
| ~ spl6_106
| ~ spl6_600
| ~ spl6_602 ),
inference(forward_demodulation,[],[f16623,f16549]) ).
fof(f16623,plain,
( sz00 = sdtasdt0(sdtsldt0(xn,xr),sz00)
| ~ spl6_602 ),
inference(avatar_component_clause,[],[f16621]) ).
fof(f16624,plain,
( spl6_602
| ~ spl6_39
| ~ spl6_247 ),
inference(avatar_split_clause,[],[f15710,f3576,f460,f16621]) ).
fof(f460,plain,
( spl6_39
<=> ! [X0] :
( sz00 = sdtasdt0(X0,sz00)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_39])]) ).
fof(f15710,plain,
( sz00 = sdtasdt0(sdtsldt0(xn,xr),sz00)
| ~ spl6_39
| ~ spl6_247 ),
inference(resolution,[],[f3577,f461]) ).
fof(f461,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(X0,sz00) )
| ~ spl6_39 ),
inference(avatar_component_clause,[],[f460]) ).
fof(f16548,plain,
( ~ spl6_601
| spl6_319
| ~ spl6_586 ),
inference(avatar_split_clause,[],[f16274,f15908,f5740,f16545]) ).
fof(f16545,plain,
( spl6_601
<=> xp = sdtasdt0(sz00,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_601])]) ).
fof(f5740,plain,
( spl6_319
<=> xp = sdtasdt0(sdtsldt0(xn,xr),xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_319])]) ).
fof(f16274,plain,
( xp != sdtasdt0(sz00,xm)
| spl6_319
| ~ spl6_586 ),
inference(superposition,[],[f5741,f15910]) ).
fof(f5741,plain,
( xp != sdtasdt0(sdtsldt0(xn,xr),xm)
| spl6_319 ),
inference(avatar_component_clause,[],[f5740]) ).
fof(f16543,plain,
( spl6_600
| ~ spl6_205
| ~ spl6_586 ),
inference(avatar_split_clause,[],[f16270,f15908,f2707,f16540]) ).
fof(f16270,plain,
( xn = sdtasdt0(xr,sz00)
| ~ spl6_205
| ~ spl6_586 ),
inference(superposition,[],[f2709,f15910]) ).
fof(f16529,plain,
( ~ spl6_599
| ~ spl6_586
| spl6_587 ),
inference(avatar_split_clause,[],[f16278,f15943,f15908,f16526]) ).
fof(f16526,plain,
( spl6_599
<=> sdtlseqdt0(xn,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_599])]) ).
fof(f15943,plain,
( spl6_587
<=> sdtlseqdt0(xn,sdtsldt0(xn,xr)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_587])]) ).
fof(f16278,plain,
( ~ sdtlseqdt0(xn,sz00)
| ~ spl6_586
| spl6_587 ),
inference(superposition,[],[f15945,f15910]) ).
fof(f15945,plain,
( ~ sdtlseqdt0(xn,sdtsldt0(xn,xr))
| spl6_587 ),
inference(avatar_component_clause,[],[f15943]) ).
fof(f16524,plain,
( spl6_598
| ~ spl6_248
| ~ spl6_586 ),
inference(avatar_split_clause,[],[f16272,f15908,f3580,f16521]) ).
fof(f16521,plain,
( spl6_598
<=> iLess0(sz00,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_598])]) ).
fof(f3580,plain,
( spl6_248
<=> iLess0(sdtsldt0(xn,xr),xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_248])]) ).
fof(f16272,plain,
( iLess0(sz00,xn)
| ~ spl6_248
| ~ spl6_586 ),
inference(superposition,[],[f3582,f15910]) ).
fof(f3582,plain,
( iLess0(sdtsldt0(xn,xr),xn)
| ~ spl6_248 ),
inference(avatar_component_clause,[],[f3580]) ).
fof(f16294,plain,
( ~ spl6_9
| ~ spl6_108
| spl6_342
| ~ spl6_586 ),
inference(avatar_split_clause,[],[f16290,f15908,f6559,f1149,f308]) ).
fof(f308,plain,
( spl6_9
<=> aNaturalNumber0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_9])]) ).
fof(f1149,plain,
( spl6_108
<=> sz00 = sdtasdt0(sz00,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_108])]) ).
fof(f6559,plain,
( spl6_342
<=> aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_342])]) ).
fof(f16290,plain,
( ~ aNaturalNumber0(sz00)
| ~ spl6_108
| spl6_342
| ~ spl6_586 ),
inference(forward_demodulation,[],[f16275,f1151]) ).
fof(f1151,plain,
( sz00 = sdtasdt0(sz00,xm)
| ~ spl6_108 ),
inference(avatar_component_clause,[],[f1149]) ).
fof(f16275,plain,
( ~ aNaturalNumber0(sdtasdt0(sz00,xm))
| spl6_342
| ~ spl6_586 ),
inference(superposition,[],[f6561,f15910]) ).
fof(f6561,plain,
( ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),xm))
| spl6_342 ),
inference(avatar_component_clause,[],[f6559]) ).
fof(f16258,plain,
( ~ spl6_597
| spl6_585
| ~ spl6_586 ),
inference(avatar_split_clause,[],[f16253,f15908,f15904,f16255]) ).
fof(f16255,plain,
( spl6_597
<=> sdtlseqdt0(xp,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_597])]) ).
fof(f15904,plain,
( spl6_585
<=> sdtlseqdt0(xp,sdtsldt0(xn,xr)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_585])]) ).
fof(f16253,plain,
( ~ sdtlseqdt0(xp,sz00)
| spl6_585
| ~ spl6_586 ),
inference(forward_demodulation,[],[f15905,f15910]) ).
fof(f15905,plain,
( ~ sdtlseqdt0(xp,sdtsldt0(xn,xr))
| spl6_585 ),
inference(avatar_component_clause,[],[f15904]) ).
fof(f16250,plain,
( spl6_14
| ~ spl6_8
| ~ spl6_585
| ~ spl6_589 ),
inference(avatar_split_clause,[],[f16034,f16026,f15904,f303,f333]) ).
fof(f333,plain,
( spl6_14
<=> sdtlseqdt0(xp,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_14])]) ).
fof(f303,plain,
( spl6_8
<=> aNaturalNumber0(xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_8])]) ).
fof(f16026,plain,
( spl6_589
<=> ! [X0] :
( sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_589])]) ).
fof(f16034,plain,
( ~ aNaturalNumber0(xp)
| sdtlseqdt0(xp,xn)
| ~ spl6_585
| ~ spl6_589 ),
inference(resolution,[],[f16027,f15906]) ).
fof(f15906,plain,
( sdtlseqdt0(xp,sdtsldt0(xn,xr))
| ~ spl6_585 ),
inference(avatar_component_clause,[],[f15904]) ).
fof(f16027,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X0,xn) )
| ~ spl6_589 ),
inference(avatar_component_clause,[],[f16026]) ).
fof(f16249,plain,
( spl6_596
| ~ spl6_39
| ~ spl6_150
| ~ spl6_247
| ~ spl6_547 ),
inference(avatar_split_clause,[],[f15849,f13428,f3576,f1984,f460,f16246]) ).
fof(f16246,plain,
( spl6_596
<=> sz00 = sdtsldt0(sz00,xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_596])]) ).
fof(f1984,plain,
( spl6_150
<=> ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sz00,X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_150])]) ).
fof(f13428,plain,
( spl6_547
<=> sdtsldt0(sz00,xr) = sdtasdt0(sz00,sdtsldt0(xn,xr)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_547])]) ).
fof(f15849,plain,
( sz00 = sdtsldt0(sz00,xr)
| ~ spl6_39
| ~ spl6_150
| ~ spl6_247
| ~ spl6_547 ),
inference(forward_demodulation,[],[f15848,f15710]) ).
fof(f15848,plain,
( sdtsldt0(sz00,xr) = sdtasdt0(sdtsldt0(xn,xr),sz00)
| ~ spl6_150
| ~ spl6_247
| ~ spl6_547 ),
inference(forward_demodulation,[],[f15732,f13430]) ).
fof(f13430,plain,
( sdtsldt0(sz00,xr) = sdtasdt0(sz00,sdtsldt0(xn,xr))
| ~ spl6_547 ),
inference(avatar_component_clause,[],[f13428]) ).
fof(f15732,plain,
( sdtasdt0(sdtsldt0(xn,xr),sz00) = sdtasdt0(sz00,sdtsldt0(xn,xr))
| ~ spl6_150
| ~ spl6_247 ),
inference(resolution,[],[f3577,f1985]) ).
fof(f1985,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sz00) = sdtasdt0(sz00,X0) )
| ~ spl6_150 ),
inference(avatar_component_clause,[],[f1984]) ).
fof(f16203,plain,
( ~ spl6_8
| ~ spl6_247
| spl6_256
| spl6_595
| ~ spl6_46
| ~ spl6_100 ),
inference(avatar_split_clause,[],[f1107,f1096,f525,f16201,f3734,f3576,f303]) ).
fof(f3734,plain,
( spl6_256
<=> sz00 = xp ),
introduced(avatar_definition,[new_symbols(naming,[spl6_256])]) ).
fof(f16201,plain,
( spl6_595
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(sdtsldt0(xn,xr),xp)) = sdtsldt0(sdtasdt0(X0,sdtsldt0(xn,xr)),xp) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_595])]) ).
fof(f525,plain,
( spl6_46
<=> doDivides0(xp,sdtsldt0(xn,xr)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_46])]) ).
fof(f1096,plain,
( spl6_100
<=> ! [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_100])]) ).
fof(f1107,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(sdtsldt0(xn,xr),xp)) = sdtsldt0(sdtasdt0(X0,sdtsldt0(xn,xr)),xp)
| sz00 = xp
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(xp) )
| ~ spl6_46
| ~ spl6_100 ),
inference(resolution,[],[f1097,f527]) ).
fof(f527,plain,
( doDivides0(xp,sdtsldt0(xn,xr))
| ~ spl6_46 ),
inference(avatar_component_clause,[],[f525]) ).
fof(f1097,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_100 ),
inference(avatar_component_clause,[],[f1096]) ).
fof(f16170,plain,
( ~ spl6_8
| ~ spl6_247
| spl6_256
| spl6_594
| ~ spl6_46
| ~ spl6_88 ),
inference(avatar_split_clause,[],[f978,f931,f525,f16167,f3734,f3576,f303]) ).
fof(f16167,plain,
( spl6_594
<=> sdtsldt0(xn,xr) = sdtasdt0(xp,sdtsldt0(sdtsldt0(xn,xr),xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_594])]) ).
fof(f931,plain,
( spl6_88
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtsldt0(X1,X0)) = X1
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_88])]) ).
fof(f978,plain,
( sdtsldt0(xn,xr) = sdtasdt0(xp,sdtsldt0(sdtsldt0(xn,xr),xp))
| sz00 = xp
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(xp)
| ~ spl6_46
| ~ spl6_88 ),
inference(resolution,[],[f932,f527]) ).
fof(f932,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| sdtasdt0(X0,sdtsldt0(X1,X0)) = X1
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_88 ),
inference(avatar_component_clause,[],[f931]) ).
fof(f16131,plain,
( ~ spl6_247
| ~ spl6_6
| spl6_593
| ~ spl6_32
| ~ spl6_76 ),
inference(avatar_split_clause,[],[f834,f793,f428,f16128,f293,f3576]) ).
fof(f293,plain,
( spl6_6
<=> aNaturalNumber0(xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_6])]) ).
fof(f16128,plain,
( spl6_593
<=> xn = sdtpldt0(sdtsldt0(xn,xr),sdtmndt0(xn,sdtsldt0(xn,xr))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_593])]) ).
fof(f428,plain,
( spl6_32
<=> sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_32])]) ).
fof(f793,plain,
( spl6_76
<=> ! [X0,X1] :
( sdtpldt0(X0,sdtmndt0(X1,X0)) = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_76])]) ).
fof(f834,plain,
( xn = sdtpldt0(sdtsldt0(xn,xr),sdtmndt0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ spl6_32
| ~ spl6_76 ),
inference(resolution,[],[f794,f430]) ).
fof(f430,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),xn)
| ~ spl6_32 ),
inference(avatar_component_clause,[],[f428]) ).
fof(f794,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| sdtpldt0(X0,sdtmndt0(X1,X0)) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_76 ),
inference(avatar_component_clause,[],[f793]) ).
fof(f16092,plain,
( ~ spl6_247
| ~ spl6_6
| spl6_592
| ~ spl6_32
| ~ spl6_75 ),
inference(avatar_split_clause,[],[f817,f789,f428,f16089,f293,f3576]) ).
fof(f16089,plain,
( spl6_592
<=> xn = sdtpldt0(sdtsldt0(xn,xr),sK5(sdtsldt0(xn,xr),xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_592])]) ).
fof(f789,plain,
( spl6_75
<=> ! [X0,X1] :
( sdtpldt0(X0,sK5(X0,X1)) = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_75])]) ).
fof(f817,plain,
( xn = sdtpldt0(sdtsldt0(xn,xr),sK5(sdtsldt0(xn,xr),xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ spl6_32
| ~ spl6_75 ),
inference(resolution,[],[f790,f430]) ).
fof(f790,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| sdtpldt0(X0,sK5(X0,X1)) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_75 ),
inference(avatar_component_clause,[],[f789]) ).
fof(f16058,plain,
( ~ spl6_8
| ~ spl6_247
| spl6_591
| ~ spl6_46
| ~ spl6_74 ),
inference(avatar_split_clause,[],[f803,f785,f525,f16055,f3576,f303]) ).
fof(f16055,plain,
( spl6_591
<=> sdtsldt0(xn,xr) = sdtasdt0(xp,sK4(xp,sdtsldt0(xn,xr))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_591])]) ).
fof(f785,plain,
( spl6_74
<=> ! [X0,X1] :
( sdtasdt0(X0,sK4(X0,X1)) = X1
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_74])]) ).
fof(f803,plain,
( sdtsldt0(xn,xr) = sdtasdt0(xp,sK4(xp,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(xp)
| ~ spl6_46
| ~ spl6_74 ),
inference(resolution,[],[f786,f527]) ).
fof(f786,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| sdtasdt0(X0,sK4(X0,X1)) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_74 ),
inference(avatar_component_clause,[],[f785]) ).
fof(f16033,plain,
( spl6_590
| ~ spl6_27
| ~ spl6_247 ),
inference(avatar_split_clause,[],[f15709,f3576,f398,f16030]) ).
fof(f16030,plain,
( spl6_590
<=> sP1(sdtsldt0(xn,xr)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_590])]) ).
fof(f398,plain,
( spl6_27
<=> ! [X0] :
( sP1(X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_27])]) ).
fof(f15709,plain,
( sP1(sdtsldt0(xn,xr))
| ~ spl6_27
| ~ spl6_247 ),
inference(resolution,[],[f3577,f399]) ).
fof(f399,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sP1(X0) )
| ~ spl6_27 ),
inference(avatar_component_clause,[],[f398]) ).
fof(f16028,plain,
( ~ spl6_247
| ~ spl6_6
| spl6_589
| ~ spl6_32
| ~ spl6_81 ),
inference(avatar_split_clause,[],[f889,f869,f428,f16026,f293,f3576]) ).
fof(f869,plain,
( spl6_81
<=> ! [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_81])]) ).
fof(f889,plain,
( ! [X0] :
( sdtlseqdt0(X0,xn)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(X0) )
| ~ spl6_32
| ~ spl6_81 ),
inference(resolution,[],[f870,f430]) ).
fof(f870,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_81 ),
inference(avatar_component_clause,[],[f869]) ).
fof(f15956,plain,
( ~ spl6_8
| ~ spl6_247
| spl6_588
| ~ spl6_46
| ~ spl6_79 ),
inference(avatar_split_clause,[],[f875,f860,f525,f15954,f3576,f303]) ).
fof(f15954,plain,
( spl6_588
<=> ! [X0] :
( doDivides0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_588])]) ).
fof(f860,plain,
( spl6_79
<=> ! [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_79])]) ).
fof(f875,plain,
( ! [X0] :
( doDivides0(X0,sdtsldt0(xn,xr))
| ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) )
| ~ spl6_46
| ~ spl6_79 ),
inference(resolution,[],[f861,f527]) ).
fof(f861,plain,
( ! [X2,X0,X1] :
( ~ doDivides0(X1,X2)
| doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_79 ),
inference(avatar_component_clause,[],[f860]) ).
fof(f15946,plain,
( ~ spl6_6
| ~ spl6_247
| ~ spl6_587
| spl6_31
| ~ spl6_32
| ~ spl6_70 ),
inference(avatar_split_clause,[],[f761,f712,f428,f423,f15943,f3576,f293]) ).
fof(f712,plain,
( spl6_70
<=> ! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_70])]) ).
fof(f761,plain,
( xn = sdtsldt0(xn,xr)
| ~ sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(xn)
| ~ spl6_32
| ~ spl6_70 ),
inference(resolution,[],[f713,f430]) ).
fof(f713,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_70 ),
inference(avatar_component_clause,[],[f712]) ).
fof(f15911,plain,
( ~ spl6_8
| ~ spl6_247
| spl6_585
| spl6_586
| ~ spl6_46
| ~ spl6_69 ),
inference(avatar_split_clause,[],[f748,f708,f525,f15908,f15904,f3576,f303]) ).
fof(f708,plain,
( spl6_69
<=> ! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sz00 = X1
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_69])]) ).
fof(f748,plain,
( sz00 = sdtsldt0(xn,xr)
| sdtlseqdt0(xp,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(xp)
| ~ spl6_46
| ~ spl6_69 ),
inference(resolution,[],[f709,f527]) ).
fof(f709,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| sz00 = X1
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_69 ),
inference(avatar_component_clause,[],[f708]) ).
fof(f15708,plain,
( ~ spl6_4
| ~ spl6_6
| spl6_204
| ~ spl6_15
| ~ spl6_77
| spl6_247 ),
inference(avatar_split_clause,[],[f3592,f3576,f797,f338,f2703,f293,f283]) ).
fof(f283,plain,
( spl6_4
<=> aNaturalNumber0(xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_4])]) ).
fof(f2703,plain,
( spl6_204
<=> sz00 = xr ),
introduced(avatar_definition,[new_symbols(naming,[spl6_204])]) ).
fof(f338,plain,
( spl6_15
<=> doDivides0(xr,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_15])]) ).
fof(f797,plain,
( spl6_77
<=> ! [X0,X1] :
( aNaturalNumber0(sdtsldt0(X1,X0))
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_77])]) ).
fof(f3592,plain,
( ~ doDivides0(xr,xn)
| sz00 = xr
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xr)
| ~ spl6_77
| spl6_247 ),
inference(resolution,[],[f3578,f798]) ).
fof(f798,plain,
( ! [X0,X1] :
( aNaturalNumber0(sdtsldt0(X1,X0))
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_77 ),
inference(avatar_component_clause,[],[f797]) ).
fof(f3578,plain,
( ~ aNaturalNumber0(sdtsldt0(xn,xr))
| spl6_247 ),
inference(avatar_component_clause,[],[f3576]) ).
fof(f15572,plain,
( ~ spl6_7
| spl6_584
| ~ spl6_50
| ~ spl6_182 ),
inference(avatar_split_clause,[],[f2415,f2407,f557,f15570,f298]) ).
fof(f298,plain,
( spl6_7
<=> aNaturalNumber0(xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_7])]) ).
fof(f15570,plain,
( spl6_584
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtlseqdt0(xm,X0)
| sdtlseqdt0(X0,xp) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_584])]) ).
fof(f557,plain,
( spl6_50
<=> ! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_50])]) ).
fof(f2407,plain,
( spl6_182
<=> ! [X0] :
( sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_182])]) ).
fof(f2415,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(xm) )
| ~ spl6_50
| ~ spl6_182 ),
inference(duplicate_literal_removal,[],[f2412]) ).
fof(f2412,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) )
| ~ spl6_50
| ~ spl6_182 ),
inference(resolution,[],[f2408,f558]) ).
fof(f558,plain,
( ! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_50 ),
inference(avatar_component_clause,[],[f557]) ).
fof(f2408,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X0,xp) )
| ~ spl6_182 ),
inference(avatar_component_clause,[],[f2407]) ).
fof(f15397,plain,
( ~ spl6_7
| ~ spl6_4
| spl6_583
| ~ spl6_50
| spl6_580 ),
inference(avatar_split_clause,[],[f14899,f14891,f557,f15394,f283,f298]) ).
fof(f15394,plain,
( spl6_583
<=> sdtlseqdt0(xm,xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_583])]) ).
fof(f14891,plain,
( spl6_580
<=> sdtlseqdt0(xr,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_580])]) ).
fof(f14899,plain,
( sdtlseqdt0(xm,xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ spl6_50
| spl6_580 ),
inference(resolution,[],[f14893,f558]) ).
fof(f14893,plain,
( ~ sdtlseqdt0(xr,xm)
| spl6_580 ),
inference(avatar_component_clause,[],[f14891]) ).
fof(f15309,plain,
( spl6_582
| ~ spl6_103
| ~ spl6_163 ),
inference(avatar_split_clause,[],[f2454,f2141,f1124,f15306]) ).
fof(f1124,plain,
( spl6_103
<=> sz00 = sdtasdt0(xn,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_103])]) ).
fof(f2454,plain,
( xn = sdtasdt0(xn,xn)
| ~ spl6_103
| ~ spl6_163 ),
inference(superposition,[],[f1126,f2143]) ).
fof(f2143,plain,
( sz00 = xn
| ~ spl6_163 ),
inference(avatar_component_clause,[],[f2141]) ).
fof(f1126,plain,
( sz00 = sdtasdt0(xn,sz00)
| ~ spl6_103 ),
inference(avatar_component_clause,[],[f1124]) ).
fof(f15264,plain,
( ~ spl6_570
| ~ spl6_163
| spl6_204 ),
inference(avatar_split_clause,[],[f14502,f2703,f2141,f14549]) ).
fof(f14549,plain,
( spl6_570
<=> xn = xr ),
introduced(avatar_definition,[new_symbols(naming,[spl6_570])]) ).
fof(f14502,plain,
( xn != xr
| ~ spl6_163
| spl6_204 ),
inference(superposition,[],[f2704,f2143]) ).
fof(f2704,plain,
( sz00 != xr
| spl6_204 ),
inference(avatar_component_clause,[],[f2703]) ).
fof(f14905,plain,
( spl6_581
| ~ spl6_107
| ~ spl6_571
| ~ spl6_572 ),
inference(avatar_split_clause,[],[f14840,f14591,f14554,f1144,f14902]) ).
fof(f14902,plain,
( spl6_581
<=> xn = xm ),
introduced(avatar_definition,[new_symbols(naming,[spl6_581])]) ).
fof(f1144,plain,
( spl6_107
<=> sz00 = sdtasdt0(sz00,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_107])]) ).
fof(f14554,plain,
( spl6_571
<=> xn = sdtasdt0(xm,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_571])]) ).
fof(f14591,plain,
( spl6_572
<=> sz00 = xm ),
introduced(avatar_definition,[new_symbols(naming,[spl6_572])]) ).
fof(f14840,plain,
( xn = xm
| ~ spl6_107
| ~ spl6_571
| ~ spl6_572 ),
inference(forward_demodulation,[],[f14556,f14608]) ).
fof(f14608,plain,
( xm = sdtasdt0(xm,xn)
| ~ spl6_107
| ~ spl6_572 ),
inference(superposition,[],[f1146,f14593]) ).
fof(f14593,plain,
( sz00 = xm
| ~ spl6_572 ),
inference(avatar_component_clause,[],[f14591]) ).
fof(f1146,plain,
( sz00 = sdtasdt0(sz00,xn)
| ~ spl6_107 ),
inference(avatar_component_clause,[],[f1144]) ).
fof(f14556,plain,
( xn = sdtasdt0(xm,xn)
| ~ spl6_571 ),
inference(avatar_component_clause,[],[f14554]) ).
fof(f14894,plain,
( ~ spl6_580
| ~ spl6_107
| spl6_162
| ~ spl6_571
| ~ spl6_572 ),
inference(avatar_split_clause,[],[f14889,f14591,f14554,f2137,f1144,f14891]) ).
fof(f2137,plain,
( spl6_162
<=> sdtlseqdt0(xr,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_162])]) ).
fof(f14889,plain,
( ~ sdtlseqdt0(xr,xm)
| ~ spl6_107
| spl6_162
| ~ spl6_571
| ~ spl6_572 ),
inference(forward_demodulation,[],[f2138,f14840]) ).
fof(f2138,plain,
( ~ sdtlseqdt0(xr,xn)
| spl6_162 ),
inference(avatar_component_clause,[],[f2137]) ).
fof(f14823,plain,
( spl6_579
| ~ spl6_570
| ~ spl6_578 ),
inference(avatar_split_clause,[],[f14819,f14816,f14549,f14821]) ).
fof(f14821,plain,
( spl6_579
<=> ! [X0] :
( sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X0,xp) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_579])]) ).
fof(f14816,plain,
( spl6_578
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,xp) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_578])]) ).
fof(f14819,plain,
( ! [X0] :
( sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X0,xp) )
| ~ spl6_570
| ~ spl6_578 ),
inference(forward_demodulation,[],[f14817,f14550]) ).
fof(f14550,plain,
( xn = xr
| ~ spl6_570 ),
inference(avatar_component_clause,[],[f14549]) ).
fof(f14817,plain,
( ! [X0] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0) )
| ~ spl6_578 ),
inference(avatar_component_clause,[],[f14816]) ).
fof(f14818,plain,
( ~ spl6_6
| spl6_578
| ~ spl6_50
| ~ spl6_181 ),
inference(avatar_split_clause,[],[f2404,f2394,f557,f14816,f293]) ).
fof(f2394,plain,
( spl6_181
<=> ! [X0] :
( sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_181])]) ).
fof(f2404,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(xn) )
| ~ spl6_50
| ~ spl6_181 ),
inference(duplicate_literal_removal,[],[f2401]) ).
fof(f2401,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) )
| ~ spl6_50
| ~ spl6_181 ),
inference(resolution,[],[f2395,f558]) ).
fof(f2395,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X0,xp) )
| ~ spl6_181 ),
inference(avatar_component_clause,[],[f2394]) ).
fof(f14728,plain,
( ~ spl6_4
| ~ spl6_6
| spl6_570
| spl6_577
| ~ spl6_68
| ~ spl6_162 ),
inference(avatar_split_clause,[],[f2149,f2137,f702,f14725,f14549,f293,f283]) ).
fof(f14725,plain,
( spl6_577
<=> iLess0(xr,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_577])]) ).
fof(f702,plain,
( spl6_68
<=> ! [X0,X1] :
( iLess0(X0,X1)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_68])]) ).
fof(f2149,plain,
( iLess0(xr,xn)
| xn = xr
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xr)
| ~ spl6_68
| ~ spl6_162 ),
inference(resolution,[],[f2139,f703]) ).
fof(f703,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| iLess0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_68 ),
inference(avatar_component_clause,[],[f702]) ).
fof(f2139,plain,
( sdtlseqdt0(xr,xn)
| ~ spl6_162 ),
inference(avatar_component_clause,[],[f2137]) ).
fof(f14718,plain,
( ~ spl6_6
| ~ spl6_4
| ~ spl6_576
| spl6_570
| ~ spl6_70
| ~ spl6_162 ),
inference(avatar_split_clause,[],[f2148,f2137,f712,f14549,f14715,f283,f293]) ).
fof(f14715,plain,
( spl6_576
<=> sdtlseqdt0(xn,xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_576])]) ).
fof(f2148,plain,
( xn = xr
| ~ sdtlseqdt0(xn,xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ spl6_70
| ~ spl6_162 ),
inference(resolution,[],[f2139,f713]) ).
fof(f14674,plain,
( ~ spl6_4
| ~ spl6_10
| spl6_204
| spl6_575
| ~ spl6_64
| ~ spl6_128 ),
inference(avatar_split_clause,[],[f1588,f1248,f684,f14671,f2703,f313,f283]) ).
fof(f313,plain,
( spl6_10
<=> aNaturalNumber0(sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_10])]) ).
fof(f14671,plain,
( spl6_575
<=> sdtlseqdt0(sz10,xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_575])]) ).
fof(f684,plain,
( spl6_64
<=> ! [X0,X1] :
( sdtlseqdt0(X1,sdtasdt0(X1,X0))
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_64])]) ).
fof(f1248,plain,
( spl6_128
<=> xr = sdtasdt0(sz10,xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_128])]) ).
fof(f1588,plain,
( sdtlseqdt0(sz10,xr)
| sz00 = xr
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xr)
| ~ spl6_64
| ~ spl6_128 ),
inference(superposition,[],[f685,f1250]) ).
fof(f1250,plain,
( xr = sdtasdt0(sz10,xr)
| ~ spl6_128 ),
inference(avatar_component_clause,[],[f1248]) ).
fof(f685,plain,
( ! [X0,X1] :
( sdtlseqdt0(X1,sdtasdt0(X1,X0))
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_64 ),
inference(avatar_component_clause,[],[f684]) ).
fof(f14669,plain,
( ~ spl6_574
| spl6_23
| ~ spl6_572 ),
inference(avatar_split_clause,[],[f14601,f14591,f378,f14666]) ).
fof(f14666,plain,
( spl6_574
<=> xm = xk ),
introduced(avatar_definition,[new_symbols(naming,[spl6_574])]) ).
fof(f378,plain,
( spl6_23
<=> sz00 = xk ),
introduced(avatar_definition,[new_symbols(naming,[spl6_23])]) ).
fof(f14601,plain,
( xm != xk
| spl6_23
| ~ spl6_572 ),
inference(superposition,[],[f380,f14593]) ).
fof(f380,plain,
( sz00 != xk
| spl6_23 ),
inference(avatar_component_clause,[],[f378]) ).
fof(f14598,plain,
( ~ spl6_7
| ~ spl6_10
| spl6_572
| spl6_573
| ~ spl6_64
| ~ spl6_126 ),
inference(avatar_split_clause,[],[f1562,f1238,f684,f14595,f14591,f313,f298]) ).
fof(f14595,plain,
( spl6_573
<=> sdtlseqdt0(sz10,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_573])]) ).
fof(f1238,plain,
( spl6_126
<=> xm = sdtasdt0(sz10,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_126])]) ).
fof(f1562,plain,
( sdtlseqdt0(sz10,xm)
| sz00 = xm
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ spl6_64
| ~ spl6_126 ),
inference(superposition,[],[f685,f1240]) ).
fof(f1240,plain,
( xm = sdtasdt0(sz10,xm)
| ~ spl6_126 ),
inference(avatar_component_clause,[],[f1238]) ).
fof(f14557,plain,
( spl6_571
| ~ spl6_104
| ~ spl6_163 ),
inference(avatar_split_clause,[],[f2455,f2141,f1129,f14554]) ).
fof(f1129,plain,
( spl6_104
<=> sz00 = sdtasdt0(xm,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_104])]) ).
fof(f2455,plain,
( xn = sdtasdt0(xm,xn)
| ~ spl6_104
| ~ spl6_163 ),
inference(superposition,[],[f1131,f2143]) ).
fof(f1131,plain,
( sz00 = sdtasdt0(xm,sz00)
| ~ spl6_104 ),
inference(avatar_component_clause,[],[f1129]) ).
fof(f14552,plain,
( ~ spl6_570
| ~ spl6_163
| spl6_204 ),
inference(avatar_split_clause,[],[f14502,f2703,f2141,f14549]) ).
fof(f14540,plain,
( ~ spl6_569
| spl6_26
| ~ spl6_163 ),
inference(avatar_split_clause,[],[f2452,f2141,f393,f14537]) ).
fof(f14537,plain,
( spl6_569
<=> sz10 = xn ),
introduced(avatar_definition,[new_symbols(naming,[spl6_569])]) ).
fof(f393,plain,
( spl6_26
<=> sz00 = sz10 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_26])]) ).
fof(f2452,plain,
( sz10 != xn
| spl6_26
| ~ spl6_163 ),
inference(superposition,[],[f395,f2143]) ).
fof(f395,plain,
( sz00 != sz10
| spl6_26 ),
inference(avatar_component_clause,[],[f393]) ).
fof(f14535,plain,
( ~ spl6_568
| spl6_23
| ~ spl6_163 ),
inference(avatar_split_clause,[],[f2451,f2141,f378,f14532]) ).
fof(f14532,plain,
( spl6_568
<=> xn = xk ),
introduced(avatar_definition,[new_symbols(naming,[spl6_568])]) ).
fof(f2451,plain,
( xn != xk
| spl6_23
| ~ spl6_163 ),
inference(superposition,[],[f380,f2143]) ).
fof(f14471,plain,
( ~ spl6_6
| ~ spl6_10
| spl6_163
| spl6_567
| ~ spl6_64
| ~ spl6_125 ),
inference(avatar_split_clause,[],[f1549,f1233,f684,f14468,f2141,f313,f293]) ).
fof(f14468,plain,
( spl6_567
<=> sdtlseqdt0(sz10,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_567])]) ).
fof(f1233,plain,
( spl6_125
<=> xn = sdtasdt0(sz10,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_125])]) ).
fof(f1549,plain,
( sdtlseqdt0(sz10,xn)
| sz00 = xn
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ spl6_64
| ~ spl6_125 ),
inference(superposition,[],[f685,f1235]) ).
fof(f1235,plain,
( xn = sdtasdt0(sz10,xn)
| ~ spl6_125 ),
inference(avatar_component_clause,[],[f1233]) ).
fof(f14382,plain,
( spl6_566
| ~ spl6_40
| ~ spl6_303 ),
inference(avatar_split_clause,[],[f5619,f5146,f464,f14379]) ).
fof(f14379,plain,
( spl6_566
<=> sz00 = sdtasdt0(sz00,sdtasdt0(xk,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_566])]) ).
fof(f5146,plain,
( spl6_303
<=> aNaturalNumber0(sdtasdt0(xk,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_303])]) ).
fof(f5619,plain,
( sz00 = sdtasdt0(sz00,sdtasdt0(xk,xp))
| ~ spl6_40
| ~ spl6_303 ),
inference(resolution,[],[f5148,f465]) ).
fof(f5148,plain,
( aNaturalNumber0(sdtasdt0(xk,xp))
| ~ spl6_303 ),
inference(avatar_component_clause,[],[f5146]) ).
fof(f14162,plain,
( ~ spl6_9
| spl6_565
| ~ spl6_10
| ~ spl6_134
| ~ spl6_245 ),
inference(avatar_split_clause,[],[f3572,f3325,f1626,f313,f14159,f308]) ).
fof(f14159,plain,
( spl6_565
<=> sz00 = sdtmndt0(sz10,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_565])]) ).
fof(f1626,plain,
( spl6_134
<=> sz10 = sdtpldt0(sz10,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_134])]) ).
fof(f3325,plain,
( spl6_245
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtmndt0(sdtpldt0(X1,X0),X1) = X0
| ~ aNaturalNumber0(sdtpldt0(X1,X0))
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_245])]) ).
fof(f3572,plain,
( ~ aNaturalNumber0(sz10)
| sz00 = sdtmndt0(sz10,sz10)
| ~ aNaturalNumber0(sz00)
| ~ spl6_134
| ~ spl6_245 ),
inference(duplicate_literal_removal,[],[f3549]) ).
fof(f3549,plain,
( ~ aNaturalNumber0(sz10)
| sz00 = sdtmndt0(sz10,sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz10)
| ~ spl6_134
| ~ spl6_245 ),
inference(superposition,[],[f3326,f1628]) ).
fof(f1628,plain,
( sz10 = sdtpldt0(sz10,sz00)
| ~ spl6_134 ),
inference(avatar_component_clause,[],[f1626]) ).
fof(f3326,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(sdtpldt0(X1,X0))
| sdtmndt0(sdtpldt0(X1,X0),X1) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl6_245 ),
inference(avatar_component_clause,[],[f3325]) ).
fof(f14157,plain,
( spl6_564
| ~ spl6_39
| ~ spl6_303 ),
inference(avatar_split_clause,[],[f5618,f5146,f460,f14154]) ).
fof(f14154,plain,
( spl6_564
<=> sz00 = sdtasdt0(sdtasdt0(xk,xp),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_564])]) ).
fof(f5618,plain,
( sz00 = sdtasdt0(sdtasdt0(xk,xp),sz00)
| ~ spl6_39
| ~ spl6_303 ),
inference(resolution,[],[f5148,f461]) ).
fof(f14150,plain,
( ~ spl6_9
| spl6_563
| ~ spl6_10
| ~ spl6_135
| ~ spl6_245 ),
inference(avatar_split_clause,[],[f3567,f3325,f1631,f313,f14147,f308]) ).
fof(f14147,plain,
( spl6_563
<=> sz10 = sdtmndt0(sz10,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_563])]) ).
fof(f1631,plain,
( spl6_135
<=> sz10 = sdtpldt0(sz00,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_135])]) ).
fof(f3567,plain,
( ~ aNaturalNumber0(sz10)
| sz10 = sdtmndt0(sz10,sz00)
| ~ aNaturalNumber0(sz00)
| ~ spl6_135
| ~ spl6_245 ),
inference(duplicate_literal_removal,[],[f3554]) ).
fof(f3554,plain,
( ~ aNaturalNumber0(sz10)
| sz10 = sdtmndt0(sz10,sz00)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ spl6_135
| ~ spl6_245 ),
inference(superposition,[],[f3326,f1633]) ).
fof(f1633,plain,
( sz10 = sdtpldt0(sz00,sz10)
| ~ spl6_135 ),
inference(avatar_component_clause,[],[f1631]) ).
fof(f14145,plain,
( spl6_562
| ~ spl6_33
| ~ spl6_217 ),
inference(avatar_split_clause,[],[f3012,f2806,f433,f14143]) ).
fof(f14143,plain,
( spl6_562
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtmndt0(X0,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_562])]) ).
fof(f433,plain,
( spl6_33
<=> ! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_33])]) ).
fof(f2806,plain,
( spl6_217
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtmndt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_217])]) ).
fof(f3012,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtmndt0(X0,X0)) )
| ~ spl6_33
| ~ spl6_217 ),
inference(duplicate_literal_removal,[],[f2988]) ).
fof(f2988,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtmndt0(X0,X0))
| ~ aNaturalNumber0(X0) )
| ~ spl6_33
| ~ spl6_217 ),
inference(resolution,[],[f2807,f434]) ).
fof(f434,plain,
( ! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_33 ),
inference(avatar_component_clause,[],[f433]) ).
fof(f2807,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtmndt0(X1,X0)) )
| ~ spl6_217 ),
inference(avatar_component_clause,[],[f2806]) ).
fof(f14141,plain,
( spl6_561
| ~ spl6_33
| ~ spl6_216 ),
inference(avatar_split_clause,[],[f2987,f2802,f433,f14139]) ).
fof(f14139,plain,
( spl6_561
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtmndt0(X0,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_561])]) ).
fof(f2802,plain,
( spl6_216
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtmndt0(X1,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_216])]) ).
fof(f2987,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtmndt0(X0,X0),sz00) )
| ~ spl6_33
| ~ spl6_216 ),
inference(duplicate_literal_removal,[],[f2963]) ).
fof(f2963,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtmndt0(X0,X0),sz00)
| ~ aNaturalNumber0(X0) )
| ~ spl6_33
| ~ spl6_216 ),
inference(resolution,[],[f2803,f434]) ).
fof(f2803,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtmndt0(X1,X0),sz00) )
| ~ spl6_216 ),
inference(avatar_component_clause,[],[f2802]) ).
fof(f14137,plain,
( spl6_560
| ~ spl6_33
| ~ spl6_215 ),
inference(avatar_split_clause,[],[f2962,f2798,f433,f14135]) ).
fof(f14135,plain,
( spl6_560
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sK5(X0,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_560])]) ).
fof(f2798,plain,
( spl6_215
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sK5(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_215])]) ).
fof(f2962,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sK5(X0,X0)) )
| ~ spl6_33
| ~ spl6_215 ),
inference(duplicate_literal_removal,[],[f2938]) ).
fof(f2938,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sK5(X0,X0))
| ~ aNaturalNumber0(X0) )
| ~ spl6_33
| ~ spl6_215 ),
inference(resolution,[],[f2799,f434]) ).
fof(f2799,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sK5(X0,X1)) )
| ~ spl6_215 ),
inference(avatar_component_clause,[],[f2798]) ).
fof(f14133,plain,
( spl6_559
| ~ spl6_33
| ~ spl6_214 ),
inference(avatar_split_clause,[],[f2937,f2794,f433,f14131]) ).
fof(f14131,plain,
( spl6_559
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sK5(X0,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_559])]) ).
fof(f2794,plain,
( spl6_214
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sK5(X0,X1),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_214])]) ).
fof(f2937,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sK5(X0,X0),sz00) )
| ~ spl6_33
| ~ spl6_214 ),
inference(duplicate_literal_removal,[],[f2913]) ).
fof(f2913,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sK5(X0,X0),sz00)
| ~ aNaturalNumber0(X0) )
| ~ spl6_33
| ~ spl6_214 ),
inference(resolution,[],[f2795,f434]) ).
fof(f2795,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sK5(X0,X1),sz00) )
| ~ spl6_214 ),
inference(avatar_component_clause,[],[f2794]) ).
fof(f14129,plain,
( spl6_558
| ~ spl6_10
| ~ spl6_173 ),
inference(avatar_split_clause,[],[f2353,f2282,f313,f14127]) ).
fof(f14127,plain,
( spl6_558
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtasdt0(sz10,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_558])]) ).
fof(f2282,plain,
( spl6_173
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = sdtasdt0(sz00,sdtasdt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_173])]) ).
fof(f2353,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtasdt0(sz10,X0)) )
| ~ spl6_10
| ~ spl6_173 ),
inference(resolution,[],[f2283,f315]) ).
fof(f315,plain,
( aNaturalNumber0(sz10)
| ~ spl6_10 ),
inference(avatar_component_clause,[],[f313]) ).
fof(f2283,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtasdt0(X1,X0)) )
| ~ spl6_173 ),
inference(avatar_component_clause,[],[f2282]) ).
fof(f14125,plain,
( spl6_557
| ~ spl6_9
| ~ spl6_173 ),
inference(avatar_split_clause,[],[f2352,f2282,f308,f14123]) ).
fof(f14123,plain,
( spl6_557
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtasdt0(sz00,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_557])]) ).
fof(f2352,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtasdt0(sz00,X0)) )
| ~ spl6_9
| ~ spl6_173 ),
inference(resolution,[],[f2283,f310]) ).
fof(f310,plain,
( aNaturalNumber0(sz00)
| ~ spl6_9 ),
inference(avatar_component_clause,[],[f308]) ).
fof(f14121,plain,
( spl6_556
| ~ spl6_10
| ~ spl6_172 ),
inference(avatar_split_clause,[],[f2339,f2278,f313,f14119]) ).
fof(f14119,plain,
( spl6_556
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtasdt0(sz10,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_556])]) ).
fof(f2278,plain,
( spl6_172
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = sdtasdt0(sdtasdt0(X1,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_172])]) ).
fof(f2339,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtasdt0(sz10,X0),sz00) )
| ~ spl6_10
| ~ spl6_172 ),
inference(resolution,[],[f2279,f315]) ).
fof(f2279,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtasdt0(X1,X0),sz00) )
| ~ spl6_172 ),
inference(avatar_component_clause,[],[f2278]) ).
fof(f14117,plain,
( spl6_555
| ~ spl6_9
| ~ spl6_172 ),
inference(avatar_split_clause,[],[f2338,f2278,f308,f14115]) ).
fof(f14115,plain,
( spl6_555
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtasdt0(sz00,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_555])]) ).
fof(f2338,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtasdt0(sz00,X0),sz00) )
| ~ spl6_9
| ~ spl6_172 ),
inference(resolution,[],[f2279,f310]) ).
fof(f14113,plain,
( spl6_554
| ~ spl6_10
| ~ spl6_171 ),
inference(avatar_split_clause,[],[f2325,f2274,f313,f14111]) ).
fof(f14111,plain,
( spl6_554
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(sz10,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_554])]) ).
fof(f2274,plain,
( spl6_171
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = sdtasdt0(sz00,sdtpldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_171])]) ).
fof(f2325,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(sz10,X0)) )
| ~ spl6_10
| ~ spl6_171 ),
inference(resolution,[],[f2275,f315]) ).
fof(f2275,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(X1,X0)) )
| ~ spl6_171 ),
inference(avatar_component_clause,[],[f2274]) ).
fof(f14109,plain,
( spl6_553
| ~ spl6_9
| ~ spl6_171 ),
inference(avatar_split_clause,[],[f2324,f2274,f308,f14107]) ).
fof(f14107,plain,
( spl6_553
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(sz00,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_553])]) ).
fof(f2324,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(sz00,X0)) )
| ~ spl6_9
| ~ spl6_171 ),
inference(resolution,[],[f2275,f310]) ).
fof(f14105,plain,
( spl6_552
| ~ spl6_10
| ~ spl6_170 ),
inference(avatar_split_clause,[],[f2306,f2270,f313,f14103]) ).
fof(f14103,plain,
( spl6_552
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtpldt0(sz10,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_552])]) ).
fof(f2270,plain,
( spl6_170
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = sdtasdt0(sdtpldt0(X1,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_170])]) ).
fof(f2306,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtpldt0(sz10,X0),sz00) )
| ~ spl6_10
| ~ spl6_170 ),
inference(resolution,[],[f2271,f315]) ).
fof(f2271,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtpldt0(X1,X0),sz00) )
| ~ spl6_170 ),
inference(avatar_component_clause,[],[f2270]) ).
fof(f14101,plain,
( spl6_551
| ~ spl6_9
| ~ spl6_170 ),
inference(avatar_split_clause,[],[f2305,f2270,f308,f14099]) ).
fof(f14099,plain,
( spl6_551
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtpldt0(sz00,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_551])]) ).
fof(f2305,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtpldt0(sz00,X0),sz00) )
| ~ spl6_9
| ~ spl6_170 ),
inference(resolution,[],[f2271,f310]) ).
fof(f13446,plain,
( spl6_550
| ~ spl6_10
| ~ spl6_45
| ~ spl6_151
| ~ spl6_160
| ~ spl6_345 ),
inference(avatar_split_clause,[],[f6620,f6597,f2128,f1988,f485,f313,f13443]) ).
fof(f13443,plain,
( spl6_550
<=> sdtsldt0(xk,xr) = sdtasdt0(sz10,sdtsldt0(xk,xr)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_550])]) ).
fof(f485,plain,
( spl6_45
<=> ! [X0] :
( sdtasdt0(sz10,X0) = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_45])]) ).
fof(f1988,plain,
( spl6_151
<=> ! [X0] :
( sdtasdt0(X0,sz10) = sdtasdt0(sz10,X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_151])]) ).
fof(f2128,plain,
( spl6_160
<=> aNaturalNumber0(xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_160])]) ).
fof(f6597,plain,
( spl6_345
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(xk,xr)) = sdtsldt0(sdtasdt0(X0,xk),xr) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_345])]) ).
fof(f6620,plain,
( sdtsldt0(xk,xr) = sdtasdt0(sz10,sdtsldt0(xk,xr))
| ~ spl6_10
| ~ spl6_45
| ~ spl6_151
| ~ spl6_160
| ~ spl6_345 ),
inference(forward_demodulation,[],[f6619,f3797]) ).
fof(f3797,plain,
( xk = sdtasdt0(xk,sz10)
| ~ spl6_45
| ~ spl6_151
| ~ spl6_160 ),
inference(forward_demodulation,[],[f3762,f3744]) ).
fof(f3744,plain,
( xk = sdtasdt0(sz10,xk)
| ~ spl6_45
| ~ spl6_160 ),
inference(resolution,[],[f2129,f486]) ).
fof(f486,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sz10,X0) = X0 )
| ~ spl6_45 ),
inference(avatar_component_clause,[],[f485]) ).
fof(f2129,plain,
( aNaturalNumber0(xk)
| ~ spl6_160 ),
inference(avatar_component_clause,[],[f2128]) ).
fof(f3762,plain,
( sdtasdt0(xk,sz10) = sdtasdt0(sz10,xk)
| ~ spl6_151
| ~ spl6_160 ),
inference(resolution,[],[f2129,f1989]) ).
fof(f1989,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sz10) = sdtasdt0(sz10,X0) )
| ~ spl6_151 ),
inference(avatar_component_clause,[],[f1988]) ).
fof(f6619,plain,
( sdtasdt0(sz10,sdtsldt0(xk,xr)) = sdtsldt0(sdtasdt0(xk,sz10),xr)
| ~ spl6_10
| ~ spl6_151
| ~ spl6_160
| ~ spl6_345 ),
inference(forward_demodulation,[],[f6601,f4003]) ).
fof(f4003,plain,
( sdtasdt0(xk,sz10) = sdtasdt0(sz10,xk)
| ~ spl6_151
| ~ spl6_160 ),
inference(resolution,[],[f2129,f1989]) ).
fof(f6601,plain,
( sdtasdt0(sz10,sdtsldt0(xk,xr)) = sdtsldt0(sdtasdt0(sz10,xk),xr)
| ~ spl6_10
| ~ spl6_345 ),
inference(resolution,[],[f6598,f315]) ).
fof(f6598,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(xk,xr)) = sdtsldt0(sdtasdt0(X0,xk),xr) )
| ~ spl6_345 ),
inference(avatar_component_clause,[],[f6597]) ).
fof(f13441,plain,
( spl6_549
| ~ spl6_9
| ~ spl6_40
| ~ spl6_150
| ~ spl6_160
| ~ spl6_345 ),
inference(avatar_split_clause,[],[f6618,f6597,f2128,f1984,f464,f308,f13438]) ).
fof(f13438,plain,
( spl6_549
<=> sdtsldt0(sz00,xr) = sdtasdt0(sz00,sdtsldt0(xk,xr)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_549])]) ).
fof(f6618,plain,
( sdtsldt0(sz00,xr) = sdtasdt0(sz00,sdtsldt0(xk,xr))
| ~ spl6_9
| ~ spl6_40
| ~ spl6_150
| ~ spl6_160
| ~ spl6_345 ),
inference(forward_demodulation,[],[f6617,f3796]) ).
fof(f3796,plain,
( sz00 = sdtasdt0(xk,sz00)
| ~ spl6_40
| ~ spl6_150
| ~ spl6_160 ),
inference(forward_demodulation,[],[f3761,f3740]) ).
fof(f3740,plain,
( sz00 = sdtasdt0(sz00,xk)
| ~ spl6_40
| ~ spl6_160 ),
inference(resolution,[],[f2129,f465]) ).
fof(f3761,plain,
( sdtasdt0(xk,sz00) = sdtasdt0(sz00,xk)
| ~ spl6_150
| ~ spl6_160 ),
inference(resolution,[],[f2129,f1985]) ).
fof(f6617,plain,
( sdtasdt0(sz00,sdtsldt0(xk,xr)) = sdtsldt0(sdtasdt0(xk,sz00),xr)
| ~ spl6_9
| ~ spl6_150
| ~ spl6_160
| ~ spl6_345 ),
inference(forward_demodulation,[],[f6600,f4002]) ).
fof(f4002,plain,
( sdtasdt0(xk,sz00) = sdtasdt0(sz00,xk)
| ~ spl6_150
| ~ spl6_160 ),
inference(resolution,[],[f2129,f1985]) ).
fof(f6600,plain,
( sdtasdt0(sz00,sdtsldt0(xk,xr)) = sdtsldt0(sdtasdt0(sz00,xk),xr)
| ~ spl6_9
| ~ spl6_345 ),
inference(resolution,[],[f6598,f310]) ).
fof(f13436,plain,
( spl6_548
| ~ spl6_10
| ~ spl6_125
| ~ spl6_344 ),
inference(avatar_split_clause,[],[f6589,f6568,f1233,f313,f13433]) ).
fof(f13433,plain,
( spl6_548
<=> sdtsldt0(xn,xr) = sdtasdt0(sz10,sdtsldt0(xn,xr)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_548])]) ).
fof(f6568,plain,
( spl6_344
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(xn,xr)) = sdtsldt0(sdtasdt0(X0,xn),xr) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_344])]) ).
fof(f6589,plain,
( sdtsldt0(xn,xr) = sdtasdt0(sz10,sdtsldt0(xn,xr))
| ~ spl6_10
| ~ spl6_125
| ~ spl6_344 ),
inference(forward_demodulation,[],[f6572,f1235]) ).
fof(f6572,plain,
( sdtasdt0(sz10,sdtsldt0(xn,xr)) = sdtsldt0(sdtasdt0(sz10,xn),xr)
| ~ spl6_10
| ~ spl6_344 ),
inference(resolution,[],[f6569,f315]) ).
fof(f6569,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(xn,xr)) = sdtsldt0(sdtasdt0(X0,xn),xr) )
| ~ spl6_344 ),
inference(avatar_component_clause,[],[f6568]) ).
fof(f13431,plain,
( spl6_547
| ~ spl6_9
| ~ spl6_107
| ~ spl6_344 ),
inference(avatar_split_clause,[],[f6588,f6568,f1144,f308,f13428]) ).
fof(f6588,plain,
( sdtsldt0(sz00,xr) = sdtasdt0(sz00,sdtsldt0(xn,xr))
| ~ spl6_9
| ~ spl6_107
| ~ spl6_344 ),
inference(forward_demodulation,[],[f6571,f1146]) ).
fof(f6571,plain,
( sdtasdt0(sz00,sdtsldt0(xn,xr)) = sdtsldt0(sdtasdt0(sz00,xn),xr)
| ~ spl6_9
| ~ spl6_344 ),
inference(resolution,[],[f6569,f310]) ).
fof(f13426,plain,
( spl6_546
| ~ spl6_160
| ~ spl6_173 ),
inference(avatar_split_clause,[],[f3768,f2282,f2128,f13424]) ).
fof(f13424,plain,
( spl6_546
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtasdt0(xk,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_546])]) ).
fof(f3768,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtasdt0(xk,X0)) )
| ~ spl6_160
| ~ spl6_173 ),
inference(resolution,[],[f2129,f2283]) ).
fof(f13422,plain,
( spl6_545
| ~ spl6_160
| ~ spl6_172 ),
inference(avatar_split_clause,[],[f3767,f2278,f2128,f13420]) ).
fof(f13420,plain,
( spl6_545
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtasdt0(xk,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_545])]) ).
fof(f3767,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtasdt0(xk,X0),sz00) )
| ~ spl6_160
| ~ spl6_172 ),
inference(resolution,[],[f2129,f2279]) ).
fof(f13418,plain,
( spl6_544
| ~ spl6_160
| ~ spl6_171 ),
inference(avatar_split_clause,[],[f3766,f2274,f2128,f13416]) ).
fof(f13416,plain,
( spl6_544
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(xk,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_544])]) ).
fof(f3766,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(xk,X0)) )
| ~ spl6_160
| ~ spl6_171 ),
inference(resolution,[],[f2129,f2275]) ).
fof(f13414,plain,
( spl6_543
| ~ spl6_160
| ~ spl6_170 ),
inference(avatar_split_clause,[],[f3765,f2270,f2128,f13412]) ).
fof(f13412,plain,
( spl6_543
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtpldt0(xk,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_543])]) ).
fof(f3765,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtpldt0(xk,X0),sz00) )
| ~ spl6_160
| ~ spl6_170 ),
inference(resolution,[],[f2129,f2271]) ).
fof(f13410,plain,
( spl6_542
| ~ spl6_56
| ~ spl6_160 ),
inference(avatar_split_clause,[],[f3746,f2128,f589,f13408]) ).
fof(f13408,plain,
( spl6_542
<=> ! [X0] :
( sdtasdt0(X0,xk) = sdtasdt0(xk,X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_542])]) ).
fof(f589,plain,
( spl6_56
<=> ! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_56])]) ).
fof(f3746,plain,
( ! [X0] :
( sdtasdt0(X0,xk) = sdtasdt0(xk,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_56
| ~ spl6_160 ),
inference(resolution,[],[f2129,f590]) ).
fof(f590,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_56 ),
inference(avatar_component_clause,[],[f589]) ).
fof(f13406,plain,
( spl6_541
| ~ spl6_55
| ~ spl6_160 ),
inference(avatar_split_clause,[],[f3745,f2128,f585,f13404]) ).
fof(f13404,plain,
( spl6_541
<=> ! [X0] :
( sdtpldt0(X0,xk) = sdtpldt0(xk,X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_541])]) ).
fof(f585,plain,
( spl6_55
<=> ! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_55])]) ).
fof(f3745,plain,
( ! [X0] :
( sdtpldt0(X0,xk) = sdtpldt0(xk,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_55
| ~ spl6_160 ),
inference(resolution,[],[f2129,f586]) ).
fof(f586,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_55 ),
inference(avatar_component_clause,[],[f585]) ).
fof(f13355,plain,
( spl6_540
| ~ spl6_45
| ~ spl6_252 ),
inference(avatar_split_clause,[],[f3643,f3609,f485,f13352]) ).
fof(f13352,plain,
( spl6_540
<=> sdtasdt0(xm,xn) = sdtasdt0(sz10,sdtasdt0(xm,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_540])]) ).
fof(f3609,plain,
( spl6_252
<=> aNaturalNumber0(sdtasdt0(xm,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_252])]) ).
fof(f3643,plain,
( sdtasdt0(xm,xn) = sdtasdt0(sz10,sdtasdt0(xm,xn))
| ~ spl6_45
| ~ spl6_252 ),
inference(resolution,[],[f3610,f486]) ).
fof(f3610,plain,
( aNaturalNumber0(sdtasdt0(xm,xn))
| ~ spl6_252 ),
inference(avatar_component_clause,[],[f3609]) ).
fof(f13349,plain,
( spl6_539
| ~ spl6_44
| ~ spl6_252 ),
inference(avatar_split_clause,[],[f3642,f3609,f481,f13346]) ).
fof(f13346,plain,
( spl6_539
<=> sdtasdt0(xm,xn) = sdtasdt0(sdtasdt0(xm,xn),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_539])]) ).
fof(f481,plain,
( spl6_44
<=> ! [X0] :
( sdtasdt0(X0,sz10) = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_44])]) ).
fof(f3642,plain,
( sdtasdt0(xm,xn) = sdtasdt0(sdtasdt0(xm,xn),sz10)
| ~ spl6_44
| ~ spl6_252 ),
inference(resolution,[],[f3610,f482]) ).
fof(f482,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sz10) = X0 )
| ~ spl6_44 ),
inference(avatar_component_clause,[],[f481]) ).
fof(f13343,plain,
( spl6_538
| ~ spl6_42
| ~ spl6_252 ),
inference(avatar_split_clause,[],[f3641,f3609,f472,f13340]) ).
fof(f13340,plain,
( spl6_538
<=> sdtasdt0(xm,xn) = sdtpldt0(sz00,sdtasdt0(xm,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_538])]) ).
fof(f472,plain,
( spl6_42
<=> ! [X0] :
( sdtpldt0(sz00,X0) = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_42])]) ).
fof(f3641,plain,
( sdtasdt0(xm,xn) = sdtpldt0(sz00,sdtasdt0(xm,xn))
| ~ spl6_42
| ~ spl6_252 ),
inference(resolution,[],[f3610,f473]) ).
fof(f473,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sz00,X0) = X0 )
| ~ spl6_42 ),
inference(avatar_component_clause,[],[f472]) ).
fof(f13337,plain,
( spl6_537
| ~ spl6_41
| ~ spl6_252 ),
inference(avatar_split_clause,[],[f3640,f3609,f468,f13334]) ).
fof(f13334,plain,
( spl6_537
<=> sdtasdt0(xm,xn) = sdtpldt0(sdtasdt0(xm,xn),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_537])]) ).
fof(f468,plain,
( spl6_41
<=> ! [X0] :
( sdtpldt0(X0,sz00) = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_41])]) ).
fof(f3640,plain,
( sdtasdt0(xm,xn) = sdtpldt0(sdtasdt0(xm,xn),sz00)
| ~ spl6_41
| ~ spl6_252 ),
inference(resolution,[],[f3610,f469]) ).
fof(f469,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sz00) = X0 )
| ~ spl6_41 ),
inference(avatar_component_clause,[],[f468]) ).
fof(f13327,plain,
( ~ spl6_9
| spl6_536
| ~ spl6_6
| ~ spl6_111
| ~ spl6_245 ),
inference(avatar_split_clause,[],[f3571,f3325,f1164,f293,f13324,f308]) ).
fof(f13324,plain,
( spl6_536
<=> sz00 = sdtmndt0(xn,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_536])]) ).
fof(f1164,plain,
( spl6_111
<=> xn = sdtpldt0(xn,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_111])]) ).
fof(f3571,plain,
( ~ aNaturalNumber0(xn)
| sz00 = sdtmndt0(xn,xn)
| ~ aNaturalNumber0(sz00)
| ~ spl6_111
| ~ spl6_245 ),
inference(duplicate_literal_removal,[],[f3550]) ).
fof(f3550,plain,
( ~ aNaturalNumber0(xn)
| sz00 = sdtmndt0(xn,xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ spl6_111
| ~ spl6_245 ),
inference(superposition,[],[f3326,f1166]) ).
fof(f1166,plain,
( xn = sdtpldt0(xn,sz00)
| ~ spl6_111 ),
inference(avatar_component_clause,[],[f1164]) ).
fof(f13317,plain,
( ~ spl6_9
| spl6_535
| ~ spl6_7
| ~ spl6_112
| ~ spl6_245 ),
inference(avatar_split_clause,[],[f3570,f3325,f1169,f298,f13314,f308]) ).
fof(f13314,plain,
( spl6_535
<=> sz00 = sdtmndt0(xm,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_535])]) ).
fof(f1169,plain,
( spl6_112
<=> xm = sdtpldt0(xm,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_112])]) ).
fof(f3570,plain,
( ~ aNaturalNumber0(xm)
| sz00 = sdtmndt0(xm,xm)
| ~ aNaturalNumber0(sz00)
| ~ spl6_112
| ~ spl6_245 ),
inference(duplicate_literal_removal,[],[f3551]) ).
fof(f3551,plain,
( ~ aNaturalNumber0(xm)
| sz00 = sdtmndt0(xm,xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ spl6_112
| ~ spl6_245 ),
inference(superposition,[],[f3326,f1171]) ).
fof(f1171,plain,
( xm = sdtpldt0(xm,sz00)
| ~ spl6_112 ),
inference(avatar_component_clause,[],[f1169]) ).
fof(f13307,plain,
( ~ spl6_9
| spl6_534
| ~ spl6_8
| ~ spl6_113
| ~ spl6_245 ),
inference(avatar_split_clause,[],[f3569,f3325,f1174,f303,f13304,f308]) ).
fof(f13304,plain,
( spl6_534
<=> sz00 = sdtmndt0(xp,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_534])]) ).
fof(f1174,plain,
( spl6_113
<=> xp = sdtpldt0(xp,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_113])]) ).
fof(f3569,plain,
( ~ aNaturalNumber0(xp)
| sz00 = sdtmndt0(xp,xp)
| ~ aNaturalNumber0(sz00)
| ~ spl6_113
| ~ spl6_245 ),
inference(duplicate_literal_removal,[],[f3552]) ).
fof(f3552,plain,
( ~ aNaturalNumber0(xp)
| sz00 = sdtmndt0(xp,xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ spl6_113
| ~ spl6_245 ),
inference(superposition,[],[f3326,f1176]) ).
fof(f1176,plain,
( xp = sdtpldt0(xp,sz00)
| ~ spl6_113 ),
inference(avatar_component_clause,[],[f1174]) ).
fof(f13302,plain,
( ~ spl6_533
| spl6_251
| ~ spl6_500 ),
inference(avatar_split_clause,[],[f12821,f11878,f3602,f13299]) ).
fof(f13299,plain,
( spl6_533
<=> sz00 = sdtasdt0(xk,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_533])]) ).
fof(f3602,plain,
( spl6_251
<=> sz00 = sdtasdt0(xn,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_251])]) ).
fof(f11878,plain,
( spl6_500
<=> sdtasdt0(xn,xm) = sdtasdt0(xk,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_500])]) ).
fof(f12821,plain,
( sz00 != sdtasdt0(xk,xp)
| spl6_251
| ~ spl6_500 ),
inference(superposition,[],[f3603,f11880]) ).
fof(f11880,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xk,xp)
| ~ spl6_500 ),
inference(avatar_component_clause,[],[f11878]) ).
fof(f3603,plain,
( sz00 != sdtasdt0(xn,xm)
| spl6_251 ),
inference(avatar_component_clause,[],[f3602]) ).
fof(f13292,plain,
( ~ spl6_9
| spl6_532
| ~ spl6_4
| ~ spl6_114
| ~ spl6_245 ),
inference(avatar_split_clause,[],[f3568,f3325,f1179,f283,f13289,f308]) ).
fof(f13289,plain,
( spl6_532
<=> sz00 = sdtmndt0(xr,xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_532])]) ).
fof(f1179,plain,
( spl6_114
<=> xr = sdtpldt0(xr,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_114])]) ).
fof(f3568,plain,
( ~ aNaturalNumber0(xr)
| sz00 = sdtmndt0(xr,xr)
| ~ aNaturalNumber0(sz00)
| ~ spl6_114
| ~ spl6_245 ),
inference(duplicate_literal_removal,[],[f3553]) ).
fof(f3553,plain,
( ~ aNaturalNumber0(xr)
| sz00 = sdtmndt0(xr,xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xr)
| ~ spl6_114
| ~ spl6_245 ),
inference(superposition,[],[f3326,f1181]) ).
fof(f1181,plain,
( xr = sdtpldt0(xr,sz00)
| ~ spl6_114 ),
inference(avatar_component_clause,[],[f1179]) ).
fof(f13285,plain,
( ~ spl6_9
| spl6_531
| ~ spl6_6
| ~ spl6_115
| ~ spl6_245 ),
inference(avatar_split_clause,[],[f3566,f3325,f1184,f293,f13282,f308]) ).
fof(f13282,plain,
( spl6_531
<=> xn = sdtmndt0(xn,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_531])]) ).
fof(f1184,plain,
( spl6_115
<=> xn = sdtpldt0(sz00,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_115])]) ).
fof(f3566,plain,
( ~ aNaturalNumber0(xn)
| xn = sdtmndt0(xn,sz00)
| ~ aNaturalNumber0(sz00)
| ~ spl6_115
| ~ spl6_245 ),
inference(duplicate_literal_removal,[],[f3557]) ).
fof(f3557,plain,
( ~ aNaturalNumber0(xn)
| xn = sdtmndt0(xn,sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz00)
| ~ spl6_115
| ~ spl6_245 ),
inference(superposition,[],[f3326,f1186]) ).
fof(f1186,plain,
( xn = sdtpldt0(sz00,xn)
| ~ spl6_115 ),
inference(avatar_component_clause,[],[f1184]) ).
fof(f13278,plain,
( ~ spl6_9
| spl6_530
| ~ spl6_7
| ~ spl6_116
| ~ spl6_245 ),
inference(avatar_split_clause,[],[f3565,f3325,f1189,f298,f13275,f308]) ).
fof(f13275,plain,
( spl6_530
<=> xm = sdtmndt0(xm,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_530])]) ).
fof(f1189,plain,
( spl6_116
<=> xm = sdtpldt0(sz00,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_116])]) ).
fof(f3565,plain,
( ~ aNaturalNumber0(xm)
| xm = sdtmndt0(xm,sz00)
| ~ aNaturalNumber0(sz00)
| ~ spl6_116
| ~ spl6_245 ),
inference(duplicate_literal_removal,[],[f3558]) ).
fof(f3558,plain,
( ~ aNaturalNumber0(xm)
| xm = sdtmndt0(xm,sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00)
| ~ spl6_116
| ~ spl6_245 ),
inference(superposition,[],[f3326,f1191]) ).
fof(f1191,plain,
( xm = sdtpldt0(sz00,xm)
| ~ spl6_116 ),
inference(avatar_component_clause,[],[f1189]) ).
fof(f13271,plain,
( ~ spl6_9
| spl6_529
| ~ spl6_8
| ~ spl6_117
| ~ spl6_245 ),
inference(avatar_split_clause,[],[f3564,f3325,f1194,f303,f13268,f308]) ).
fof(f13268,plain,
( spl6_529
<=> xp = sdtmndt0(xp,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_529])]) ).
fof(f1194,plain,
( spl6_117
<=> xp = sdtpldt0(sz00,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_117])]) ).
fof(f3564,plain,
( ~ aNaturalNumber0(xp)
| xp = sdtmndt0(xp,sz00)
| ~ aNaturalNumber0(sz00)
| ~ spl6_117
| ~ spl6_245 ),
inference(duplicate_literal_removal,[],[f3559]) ).
fof(f3559,plain,
( ~ aNaturalNumber0(xp)
| xp = sdtmndt0(xp,sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ spl6_117
| ~ spl6_245 ),
inference(superposition,[],[f3326,f1196]) ).
fof(f1196,plain,
( xp = sdtpldt0(sz00,xp)
| ~ spl6_117 ),
inference(avatar_component_clause,[],[f1194]) ).
fof(f13264,plain,
( ~ spl6_9
| spl6_528
| ~ spl6_4
| ~ spl6_118
| ~ spl6_245 ),
inference(avatar_split_clause,[],[f3563,f3325,f1199,f283,f13261,f308]) ).
fof(f13261,plain,
( spl6_528
<=> xr = sdtmndt0(xr,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_528])]) ).
fof(f1199,plain,
( spl6_118
<=> xr = sdtpldt0(sz00,xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_118])]) ).
fof(f3563,plain,
( ~ aNaturalNumber0(xr)
| xr = sdtmndt0(xr,sz00)
| ~ aNaturalNumber0(sz00)
| ~ spl6_118
| ~ spl6_245 ),
inference(duplicate_literal_removal,[],[f3560]) ).
fof(f3560,plain,
( ~ aNaturalNumber0(xr)
| xr = sdtmndt0(xr,sz00)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ spl6_118
| ~ spl6_245 ),
inference(superposition,[],[f3326,f1201]) ).
fof(f1201,plain,
( xr = sdtpldt0(sz00,xr)
| ~ spl6_118 ),
inference(avatar_component_clause,[],[f1199]) ).
fof(f13259,plain,
( ~ spl6_527
| spl6_203
| ~ spl6_500 ),
inference(avatar_split_clause,[],[f12820,f11878,f2686,f13256]) ).
fof(f13256,plain,
( spl6_527
<=> xr = sdtasdt0(xk,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_527])]) ).
fof(f2686,plain,
( spl6_203
<=> sdtasdt0(xn,xm) = xr ),
introduced(avatar_definition,[new_symbols(naming,[spl6_203])]) ).
fof(f12820,plain,
( xr != sdtasdt0(xk,xp)
| spl6_203
| ~ spl6_500 ),
inference(superposition,[],[f2687,f11880]) ).
fof(f2687,plain,
( sdtasdt0(xn,xm) != xr
| spl6_203 ),
inference(avatar_component_clause,[],[f2686]) ).
fof(f13254,plain,
( spl6_526
| ~ spl6_4
| ~ spl6_173 ),
inference(avatar_split_clause,[],[f2361,f2282,f283,f13252]) ).
fof(f13252,plain,
( spl6_526
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtasdt0(xr,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_526])]) ).
fof(f2361,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtasdt0(xr,X0)) )
| ~ spl6_4
| ~ spl6_173 ),
inference(resolution,[],[f2283,f285]) ).
fof(f285,plain,
( aNaturalNumber0(xr)
| ~ spl6_4 ),
inference(avatar_component_clause,[],[f283]) ).
fof(f13250,plain,
( spl6_525
| ~ spl6_8
| ~ spl6_173 ),
inference(avatar_split_clause,[],[f2360,f2282,f303,f13248]) ).
fof(f13248,plain,
( spl6_525
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtasdt0(xp,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_525])]) ).
fof(f2360,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtasdt0(xp,X0)) )
| ~ spl6_8
| ~ spl6_173 ),
inference(resolution,[],[f2283,f305]) ).
fof(f305,plain,
( aNaturalNumber0(xp)
| ~ spl6_8 ),
inference(avatar_component_clause,[],[f303]) ).
fof(f13246,plain,
( spl6_524
| ~ spl6_7
| ~ spl6_173 ),
inference(avatar_split_clause,[],[f2359,f2282,f298,f13244]) ).
fof(f13244,plain,
( spl6_524
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtasdt0(xm,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_524])]) ).
fof(f2359,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtasdt0(xm,X0)) )
| ~ spl6_7
| ~ spl6_173 ),
inference(resolution,[],[f2283,f300]) ).
fof(f300,plain,
( aNaturalNumber0(xm)
| ~ spl6_7 ),
inference(avatar_component_clause,[],[f298]) ).
fof(f13242,plain,
( spl6_523
| ~ spl6_6
| ~ spl6_173 ),
inference(avatar_split_clause,[],[f2358,f2282,f293,f13240]) ).
fof(f13240,plain,
( spl6_523
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtasdt0(xn,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_523])]) ).
fof(f2358,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtasdt0(xn,X0)) )
| ~ spl6_6
| ~ spl6_173 ),
inference(resolution,[],[f2283,f295]) ).
fof(f295,plain,
( aNaturalNumber0(xn)
| ~ spl6_6 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f13238,plain,
( spl6_522
| ~ spl6_4
| ~ spl6_172 ),
inference(avatar_split_clause,[],[f2347,f2278,f283,f13236]) ).
fof(f13236,plain,
( spl6_522
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtasdt0(xr,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_522])]) ).
fof(f2347,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtasdt0(xr,X0),sz00) )
| ~ spl6_4
| ~ spl6_172 ),
inference(resolution,[],[f2279,f285]) ).
fof(f13234,plain,
( spl6_521
| ~ spl6_8
| ~ spl6_172 ),
inference(avatar_split_clause,[],[f2346,f2278,f303,f13232]) ).
fof(f13232,plain,
( spl6_521
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtasdt0(xp,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_521])]) ).
fof(f2346,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtasdt0(xp,X0),sz00) )
| ~ spl6_8
| ~ spl6_172 ),
inference(resolution,[],[f2279,f305]) ).
fof(f13230,plain,
( spl6_520
| ~ spl6_7
| ~ spl6_172 ),
inference(avatar_split_clause,[],[f2345,f2278,f298,f13228]) ).
fof(f13228,plain,
( spl6_520
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtasdt0(xm,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_520])]) ).
fof(f2345,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtasdt0(xm,X0),sz00) )
| ~ spl6_7
| ~ spl6_172 ),
inference(resolution,[],[f2279,f300]) ).
fof(f13226,plain,
( spl6_519
| ~ spl6_6
| ~ spl6_172 ),
inference(avatar_split_clause,[],[f2344,f2278,f293,f13224]) ).
fof(f13224,plain,
( spl6_519
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtasdt0(xn,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_519])]) ).
fof(f2344,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtasdt0(xn,X0),sz00) )
| ~ spl6_6
| ~ spl6_172 ),
inference(resolution,[],[f2279,f295]) ).
fof(f13222,plain,
( spl6_518
| ~ spl6_4
| ~ spl6_171 ),
inference(avatar_split_clause,[],[f2333,f2274,f283,f13220]) ).
fof(f13220,plain,
( spl6_518
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(xr,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_518])]) ).
fof(f2333,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(xr,X0)) )
| ~ spl6_4
| ~ spl6_171 ),
inference(resolution,[],[f2275,f285]) ).
fof(f13218,plain,
( spl6_517
| ~ spl6_8
| ~ spl6_171 ),
inference(avatar_split_clause,[],[f2332,f2274,f303,f13216]) ).
fof(f13216,plain,
( spl6_517
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(xp,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_517])]) ).
fof(f2332,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(xp,X0)) )
| ~ spl6_8
| ~ spl6_171 ),
inference(resolution,[],[f2275,f305]) ).
fof(f13214,plain,
( ~ spl6_516
| spl6_198
| ~ spl6_500 ),
inference(avatar_split_clause,[],[f12819,f11878,f2662,f13211]) ).
fof(f13211,plain,
( spl6_516
<=> xp = sdtasdt0(xk,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_516])]) ).
fof(f2662,plain,
( spl6_198
<=> xp = sdtasdt0(xn,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_198])]) ).
fof(f12819,plain,
( xp != sdtasdt0(xk,xp)
| spl6_198
| ~ spl6_500 ),
inference(superposition,[],[f2663,f11880]) ).
fof(f2663,plain,
( xp != sdtasdt0(xn,xm)
| spl6_198 ),
inference(avatar_component_clause,[],[f2662]) ).
fof(f13209,plain,
( spl6_515
| ~ spl6_7
| ~ spl6_171 ),
inference(avatar_split_clause,[],[f2331,f2274,f298,f13207]) ).
fof(f13207,plain,
( spl6_515
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(xm,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_515])]) ).
fof(f2331,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(xm,X0)) )
| ~ spl6_7
| ~ spl6_171 ),
inference(resolution,[],[f2275,f300]) ).
fof(f13205,plain,
( spl6_514
| ~ spl6_6
| ~ spl6_171 ),
inference(avatar_split_clause,[],[f2330,f2274,f293,f13203]) ).
fof(f13203,plain,
( spl6_514
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(xn,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_514])]) ).
fof(f2330,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(xn,X0)) )
| ~ spl6_6
| ~ spl6_171 ),
inference(resolution,[],[f2275,f295]) ).
fof(f13201,plain,
( spl6_513
| ~ spl6_4
| ~ spl6_170 ),
inference(avatar_split_clause,[],[f2314,f2270,f283,f13199]) ).
fof(f13199,plain,
( spl6_513
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtpldt0(xr,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_513])]) ).
fof(f2314,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtpldt0(xr,X0),sz00) )
| ~ spl6_4
| ~ spl6_170 ),
inference(resolution,[],[f2271,f285]) ).
fof(f13197,plain,
( spl6_512
| ~ spl6_8
| ~ spl6_170 ),
inference(avatar_split_clause,[],[f2313,f2270,f303,f13195]) ).
fof(f13195,plain,
( spl6_512
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtpldt0(xp,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_512])]) ).
fof(f2313,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtpldt0(xp,X0),sz00) )
| ~ spl6_8
| ~ spl6_170 ),
inference(resolution,[],[f2271,f305]) ).
fof(f13193,plain,
( spl6_511
| ~ spl6_7
| ~ spl6_170 ),
inference(avatar_split_clause,[],[f2312,f2270,f298,f13191]) ).
fof(f13191,plain,
( spl6_511
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtpldt0(xm,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_511])]) ).
fof(f2312,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtpldt0(xm,X0),sz00) )
| ~ spl6_7
| ~ spl6_170 ),
inference(resolution,[],[f2271,f300]) ).
fof(f13189,plain,
( spl6_510
| ~ spl6_6
| ~ spl6_170 ),
inference(avatar_split_clause,[],[f2311,f2270,f293,f13187]) ).
fof(f13187,plain,
( spl6_510
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtpldt0(xn,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_510])]) ).
fof(f2311,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtpldt0(xn,X0),sz00) )
| ~ spl6_6
| ~ spl6_170 ),
inference(resolution,[],[f2271,f295]) ).
fof(f12963,plain,
( spl6_509
| ~ spl6_29
| ~ spl6_500 ),
inference(avatar_split_clause,[],[f12817,f11878,f413,f12960]) ).
fof(f12960,plain,
( spl6_509
<=> doDivides0(xr,sdtasdt0(xk,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_509])]) ).
fof(f413,plain,
( spl6_29
<=> doDivides0(xr,sdtasdt0(xn,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_29])]) ).
fof(f12817,plain,
( doDivides0(xr,sdtasdt0(xk,xp))
| ~ spl6_29
| ~ spl6_500 ),
inference(superposition,[],[f415,f11880]) ).
fof(f415,plain,
( doDivides0(xr,sdtasdt0(xn,xm))
| ~ spl6_29 ),
inference(avatar_component_clause,[],[f413]) ).
fof(f12954,plain,
( spl6_508
| ~ spl6_9
| ~ spl6_133
| ~ spl6_245 ),
inference(avatar_split_clause,[],[f3573,f3325,f1621,f308,f12951]) ).
fof(f12951,plain,
( spl6_508
<=> sz00 = sdtmndt0(sz00,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_508])]) ).
fof(f1621,plain,
( spl6_133
<=> sz00 = sdtpldt0(sz00,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_133])]) ).
fof(f3573,plain,
( ~ aNaturalNumber0(sz00)
| sz00 = sdtmndt0(sz00,sz00)
| ~ spl6_133
| ~ spl6_245 ),
inference(duplicate_literal_removal,[],[f3548]) ).
fof(f3548,plain,
( ~ aNaturalNumber0(sz00)
| sz00 = sdtmndt0(sz00,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz00)
| ~ spl6_133
| ~ spl6_245 ),
inference(superposition,[],[f3326,f1623]) ).
fof(f1623,plain,
( sz00 = sdtpldt0(sz00,sz00)
| ~ spl6_133 ),
inference(avatar_component_clause,[],[f1621]) ).
fof(f12949,plain,
( spl6_507
| ~ spl6_10
| ~ spl6_153 ),
inference(avatar_split_clause,[],[f2091,f1996,f313,f12946]) ).
fof(f12946,plain,
( spl6_507
<=> sz10 = sdtpldt0(sz10,sdtmndt0(sz10,sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_507])]) ).
fof(f1996,plain,
( spl6_153
<=> ! [X0] :
( sdtpldt0(X0,sdtmndt0(X0,X0)) = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_153])]) ).
fof(f2091,plain,
( sz10 = sdtpldt0(sz10,sdtmndt0(sz10,sz10))
| ~ spl6_10
| ~ spl6_153 ),
inference(resolution,[],[f1997,f315]) ).
fof(f1997,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sdtmndt0(X0,X0)) = X0 )
| ~ spl6_153 ),
inference(avatar_component_clause,[],[f1996]) ).
fof(f12944,plain,
( spl6_506
| ~ spl6_9
| ~ spl6_153 ),
inference(avatar_split_clause,[],[f2090,f1996,f308,f12941]) ).
fof(f12941,plain,
( spl6_506
<=> sz00 = sdtpldt0(sz00,sdtmndt0(sz00,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_506])]) ).
fof(f2090,plain,
( sz00 = sdtpldt0(sz00,sdtmndt0(sz00,sz00))
| ~ spl6_9
| ~ spl6_153 ),
inference(resolution,[],[f1997,f310]) ).
fof(f12939,plain,
( spl6_505
| ~ spl6_10
| ~ spl6_152 ),
inference(avatar_split_clause,[],[f2077,f1992,f313,f12936]) ).
fof(f12936,plain,
( spl6_505
<=> sz10 = sdtpldt0(sz10,sK5(sz10,sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_505])]) ).
fof(f1992,plain,
( spl6_152
<=> ! [X0] :
( sdtpldt0(X0,sK5(X0,X0)) = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_152])]) ).
fof(f2077,plain,
( sz10 = sdtpldt0(sz10,sK5(sz10,sz10))
| ~ spl6_10
| ~ spl6_152 ),
inference(resolution,[],[f1993,f315]) ).
fof(f1993,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sK5(X0,X0)) = X0 )
| ~ spl6_152 ),
inference(avatar_component_clause,[],[f1992]) ).
fof(f12934,plain,
( spl6_504
| ~ spl6_9
| ~ spl6_152 ),
inference(avatar_split_clause,[],[f2076,f1992,f308,f12931]) ).
fof(f12931,plain,
( spl6_504
<=> sz00 = sdtpldt0(sz00,sK5(sz00,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_504])]) ).
fof(f2076,plain,
( sz00 = sdtpldt0(sz00,sK5(sz00,sz00))
| ~ spl6_9
| ~ spl6_152 ),
inference(resolution,[],[f1993,f310]) ).
fof(f12897,plain,
( ~ spl6_9
| ~ spl6_10
| spl6_503
| ~ spl6_72
| ~ spl6_135 ),
inference(avatar_split_clause,[],[f1742,f1631,f720,f12894,f313,f308]) ).
fof(f12894,plain,
( spl6_503
<=> sdtlseqdt0(sz00,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_503])]) ).
fof(f720,plain,
( spl6_72
<=> ! [X2,X0] :
( sdtlseqdt0(X0,sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_72])]) ).
fof(f1742,plain,
( sdtlseqdt0(sz00,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ spl6_72
| ~ spl6_135 ),
inference(duplicate_literal_removal,[],[f1730]) ).
fof(f1730,plain,
( sdtlseqdt0(sz00,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ spl6_72
| ~ spl6_135 ),
inference(superposition,[],[f721,f1633]) ).
fof(f721,plain,
( ! [X2,X0] :
( sdtlseqdt0(X0,sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X0) )
| ~ spl6_72 ),
inference(avatar_component_clause,[],[f720]) ).
fof(f12860,plain,
( ~ spl6_10
| ~ spl6_9
| spl6_502
| ~ spl6_71
| ~ spl6_131 ),
inference(avatar_split_clause,[],[f1666,f1611,f716,f12857,f308,f313]) ).
fof(f12857,plain,
( spl6_502
<=> doDivides0(sz10,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_502])]) ).
fof(f716,plain,
( spl6_71
<=> ! [X2,X0] :
( doDivides0(X0,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_71])]) ).
fof(f1611,plain,
( spl6_131
<=> sz00 = sdtasdt0(sz10,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_131])]) ).
fof(f1666,plain,
( doDivides0(sz10,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz10)
| ~ spl6_71
| ~ spl6_131 ),
inference(duplicate_literal_removal,[],[f1656]) ).
fof(f1656,plain,
( doDivides0(sz10,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz10)
| ~ spl6_71
| ~ spl6_131 ),
inference(superposition,[],[f717,f1613]) ).
fof(f1613,plain,
( sz00 = sdtasdt0(sz10,sz00)
| ~ spl6_131 ),
inference(avatar_component_clause,[],[f1611]) ).
fof(f717,plain,
( ! [X2,X0] :
( doDivides0(X0,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X0) )
| ~ spl6_71 ),
inference(avatar_component_clause,[],[f716]) ).
fof(f12855,plain,
( spl6_501
| ~ spl6_28
| ~ spl6_500 ),
inference(avatar_split_clause,[],[f12816,f11878,f408,f12852]) ).
fof(f12852,plain,
( spl6_501
<=> doDivides0(xp,sdtasdt0(xk,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_501])]) ).
fof(f408,plain,
( spl6_28
<=> doDivides0(xp,sdtasdt0(xn,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_28])]) ).
fof(f12816,plain,
( doDivides0(xp,sdtasdt0(xk,xp))
| ~ spl6_28
| ~ spl6_500 ),
inference(superposition,[],[f410,f11880]) ).
fof(f410,plain,
( doDivides0(xp,sdtasdt0(xn,xm))
| ~ spl6_28 ),
inference(avatar_component_clause,[],[f408]) ).
fof(f11881,plain,
( spl6_500
| ~ spl6_278
| ~ spl6_465 ),
inference(avatar_split_clause,[],[f11288,f11284,f4454,f11878]) ).
fof(f4454,plain,
( spl6_278
<=> sdtasdt0(xm,xn) = sdtasdt0(xk,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_278])]) ).
fof(f11284,plain,
( spl6_465
<=> sdtasdt0(xn,xm) = sdtasdt0(xm,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_465])]) ).
fof(f11288,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xk,xp)
| ~ spl6_278
| ~ spl6_465 ),
inference(forward_demodulation,[],[f11286,f4456]) ).
fof(f4456,plain,
( sdtasdt0(xm,xn) = sdtasdt0(xk,xp)
| ~ spl6_278 ),
inference(avatar_component_clause,[],[f4454]) ).
fof(f11286,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xm,xn)
| ~ spl6_465 ),
inference(avatar_component_clause,[],[f11284]) ).
fof(f11494,plain,
( spl6_499
| ~ spl6_10
| ~ spl6_45
| ~ spl6_151
| ~ spl6_160
| ~ spl6_303
| ~ spl6_358
| ~ spl6_364 ),
inference(avatar_split_clause,[],[f7198,f7168,f6966,f5146,f2128,f1988,f485,f313,f11491]) ).
fof(f11491,plain,
( spl6_499
<=> xk = sdtsldt0(sdtasdt0(xk,xp),xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_499])]) ).
fof(f6966,plain,
( spl6_358
<=> xk = sdtasdt0(xk,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_358])]) ).
fof(f7168,plain,
( spl6_364
<=> ! [X0] :
( sdtasdt0(X0,xk) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xk,xp)),xp)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_364])]) ).
fof(f7198,plain,
( xk = sdtsldt0(sdtasdt0(xk,xp),xp)
| ~ spl6_10
| ~ spl6_45
| ~ spl6_151
| ~ spl6_160
| ~ spl6_303
| ~ spl6_358
| ~ spl6_364 ),
inference(forward_demodulation,[],[f7197,f6968]) ).
fof(f6968,plain,
( xk = sdtasdt0(xk,sz10)
| ~ spl6_358 ),
inference(avatar_component_clause,[],[f6966]) ).
fof(f7197,plain,
( sdtasdt0(xk,sz10) = sdtsldt0(sdtasdt0(xk,xp),xp)
| ~ spl6_10
| ~ spl6_45
| ~ spl6_151
| ~ spl6_160
| ~ spl6_303
| ~ spl6_364 ),
inference(forward_demodulation,[],[f7196,f4003]) ).
fof(f7196,plain,
( sdtasdt0(sz10,xk) = sdtsldt0(sdtasdt0(xk,xp),xp)
| ~ spl6_10
| ~ spl6_45
| ~ spl6_303
| ~ spl6_364 ),
inference(forward_demodulation,[],[f7177,f5623]) ).
fof(f5623,plain,
( sdtasdt0(xk,xp) = sdtasdt0(sz10,sdtasdt0(xk,xp))
| ~ spl6_45
| ~ spl6_303 ),
inference(resolution,[],[f5148,f486]) ).
fof(f7177,plain,
( sdtasdt0(sz10,xk) = sdtsldt0(sdtasdt0(sz10,sdtasdt0(xk,xp)),xp)
| ~ spl6_10
| ~ spl6_364 ),
inference(resolution,[],[f7169,f315]) ).
fof(f7169,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,xk) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xk,xp)),xp) )
| ~ spl6_364 ),
inference(avatar_component_clause,[],[f7168]) ).
fof(f11489,plain,
( spl6_498
| ~ spl6_4
| ~ spl6_147
| ~ spl6_160
| ~ spl6_276
| ~ spl6_345 ),
inference(avatar_split_clause,[],[f6626,f6597,f4401,f2128,f1848,f283,f11486]) ).
fof(f11486,plain,
( spl6_498
<=> xk = sdtsldt0(sdtasdt0(xk,xr),xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_498])]) ).
fof(f4401,plain,
( spl6_276
<=> xk = sdtasdt0(xr,sdtsldt0(xk,xr)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_276])]) ).
fof(f6626,plain,
( xk = sdtsldt0(sdtasdt0(xk,xr),xr)
| ~ spl6_4
| ~ spl6_147
| ~ spl6_160
| ~ spl6_276
| ~ spl6_345 ),
inference(forward_demodulation,[],[f6625,f4403]) ).
fof(f4403,plain,
( xk = sdtasdt0(xr,sdtsldt0(xk,xr))
| ~ spl6_276 ),
inference(avatar_component_clause,[],[f4401]) ).
fof(f6625,plain,
( sdtasdt0(xr,sdtsldt0(xk,xr)) = sdtsldt0(sdtasdt0(xk,xr),xr)
| ~ spl6_4
| ~ spl6_147
| ~ spl6_160
| ~ spl6_345 ),
inference(forward_demodulation,[],[f6612,f3758]) ).
fof(f3758,plain,
( sdtasdt0(xk,xr) = sdtasdt0(xr,xk)
| ~ spl6_147
| ~ spl6_160 ),
inference(resolution,[],[f2129,f1849]) ).
fof(f6612,plain,
( sdtasdt0(xr,sdtsldt0(xk,xr)) = sdtsldt0(sdtasdt0(xr,xk),xr)
| ~ spl6_4
| ~ spl6_345 ),
inference(resolution,[],[f6598,f285]) ).
fof(f11484,plain,
( spl6_497
| ~ spl6_4
| ~ spl6_205
| ~ spl6_344 ),
inference(avatar_split_clause,[],[f6595,f6568,f2707,f283,f11481]) ).
fof(f11481,plain,
( spl6_497
<=> xn = sdtsldt0(sdtasdt0(xr,xn),xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_497])]) ).
fof(f6595,plain,
( xn = sdtsldt0(sdtasdt0(xr,xn),xr)
| ~ spl6_4
| ~ spl6_205
| ~ spl6_344 ),
inference(forward_demodulation,[],[f6583,f2709]) ).
fof(f6583,plain,
( sdtasdt0(xr,sdtsldt0(xn,xr)) = sdtsldt0(sdtasdt0(xr,xn),xr)
| ~ spl6_4
| ~ spl6_344 ),
inference(resolution,[],[f6569,f285]) ).
fof(f11479,plain,
( spl6_496
| ~ spl6_10
| ~ spl6_273
| ~ spl6_453 ),
inference(avatar_split_clause,[],[f11164,f11160,f4355,f313,f11476]) ).
fof(f11476,plain,
( spl6_496
<=> doDivides0(sz10,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_496])]) ).
fof(f4355,plain,
( spl6_273
<=> ! [X0] :
( doDivides0(X0,xk)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_273])]) ).
fof(f11160,plain,
( spl6_453
<=> doDivides0(sz10,xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_453])]) ).
fof(f11164,plain,
( ~ aNaturalNumber0(sz10)
| doDivides0(sz10,xk)
| ~ spl6_273
| ~ spl6_453 ),
inference(resolution,[],[f11162,f4356]) ).
fof(f4356,plain,
( ! [X0] :
( ~ doDivides0(X0,xr)
| ~ aNaturalNumber0(X0)
| doDivides0(X0,xk) )
| ~ spl6_273 ),
inference(avatar_component_clause,[],[f4355]) ).
fof(f11162,plain,
( doDivides0(sz10,xr)
| ~ spl6_453 ),
inference(avatar_component_clause,[],[f11160]) ).
fof(f11473,plain,
( spl6_495
| ~ spl6_151
| ~ spl6_160 ),
inference(avatar_split_clause,[],[f4003,f2128,f1988,f11470]) ).
fof(f11470,plain,
( spl6_495
<=> sdtasdt0(xk,sz10) = sdtasdt0(sz10,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_495])]) ).
fof(f11467,plain,
( spl6_494
| ~ spl6_150
| ~ spl6_160 ),
inference(avatar_split_clause,[],[f4002,f2128,f1984,f11464]) ).
fof(f11464,plain,
( spl6_494
<=> sdtasdt0(xk,sz00) = sdtasdt0(sz00,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_494])]) ).
fof(f11461,plain,
( spl6_493
| ~ spl6_148
| ~ spl6_160 ),
inference(avatar_split_clause,[],[f4000,f2128,f1976,f11458]) ).
fof(f11458,plain,
( spl6_493
<=> sdtpldt0(xk,sz00) = sdtpldt0(sz00,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_493])]) ).
fof(f1976,plain,
( spl6_148
<=> ! [X0] :
( sdtpldt0(X0,sz00) = sdtpldt0(sz00,X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_148])]) ).
fof(f4000,plain,
( sdtpldt0(xk,sz00) = sdtpldt0(sz00,xk)
| ~ spl6_148
| ~ spl6_160 ),
inference(resolution,[],[f2129,f1977]) ).
fof(f1977,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sz00) = sdtpldt0(sz00,X0) )
| ~ spl6_148 ),
inference(avatar_component_clause,[],[f1976]) ).
fof(f11456,plain,
( spl6_492
| ~ spl6_153
| ~ spl6_160 ),
inference(avatar_split_clause,[],[f3764,f2128,f1996,f11453]) ).
fof(f11453,plain,
( spl6_492
<=> xk = sdtpldt0(xk,sdtmndt0(xk,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_492])]) ).
fof(f3764,plain,
( xk = sdtpldt0(xk,sdtmndt0(xk,xk))
| ~ spl6_153
| ~ spl6_160 ),
inference(resolution,[],[f2129,f1997]) ).
fof(f11451,plain,
( spl6_491
| ~ spl6_152
| ~ spl6_160 ),
inference(avatar_split_clause,[],[f3763,f2128,f1992,f11448]) ).
fof(f11448,plain,
( spl6_491
<=> xk = sdtpldt0(xk,sK5(xk,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_491])]) ).
fof(f3763,plain,
( xk = sdtpldt0(xk,sK5(xk,xk))
| ~ spl6_152
| ~ spl6_160 ),
inference(resolution,[],[f2129,f1993]) ).
fof(f11446,plain,
( spl6_490
| ~ spl6_149
| ~ spl6_160 ),
inference(avatar_split_clause,[],[f3760,f2128,f1980,f11443]) ).
fof(f11443,plain,
( spl6_490
<=> sdtpldt0(xk,sz10) = sdtpldt0(sz10,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_490])]) ).
fof(f1980,plain,
( spl6_149
<=> ! [X0] :
( sdtpldt0(X0,sz10) = sdtpldt0(sz10,X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_149])]) ).
fof(f3760,plain,
( sdtpldt0(xk,sz10) = sdtpldt0(sz10,xk)
| ~ spl6_149
| ~ spl6_160 ),
inference(resolution,[],[f2129,f1981]) ).
fof(f1981,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sz10) = sdtpldt0(sz10,X0) )
| ~ spl6_149 ),
inference(avatar_component_clause,[],[f1980]) ).
fof(f11441,plain,
( spl6_489
| ~ spl6_147
| ~ spl6_160 ),
inference(avatar_split_clause,[],[f3758,f2128,f1848,f11438]) ).
fof(f11438,plain,
( spl6_489
<=> sdtasdt0(xk,xr) = sdtasdt0(xr,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_489])]) ).
fof(f11436,plain,
( spl6_488
| ~ spl6_146
| ~ spl6_160 ),
inference(avatar_split_clause,[],[f3757,f2128,f1844,f11433]) ).
fof(f11433,plain,
( spl6_488
<=> sdtasdt0(xp,xk) = sdtasdt0(xk,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_488])]) ).
fof(f1844,plain,
( spl6_146
<=> ! [X0] :
( sdtasdt0(X0,xp) = sdtasdt0(xp,X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_146])]) ).
fof(f3757,plain,
( sdtasdt0(xp,xk) = sdtasdt0(xk,xp)
| ~ spl6_146
| ~ spl6_160 ),
inference(resolution,[],[f2129,f1845]) ).
fof(f1845,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,xp) = sdtasdt0(xp,X0) )
| ~ spl6_146 ),
inference(avatar_component_clause,[],[f1844]) ).
fof(f11431,plain,
( spl6_487
| ~ spl6_145
| ~ spl6_160 ),
inference(avatar_split_clause,[],[f3756,f2128,f1840,f11428]) ).
fof(f11428,plain,
( spl6_487
<=> sdtasdt0(xk,xm) = sdtasdt0(xm,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_487])]) ).
fof(f1840,plain,
( spl6_145
<=> ! [X0] :
( sdtasdt0(X0,xm) = sdtasdt0(xm,X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_145])]) ).
fof(f3756,plain,
( sdtasdt0(xk,xm) = sdtasdt0(xm,xk)
| ~ spl6_145
| ~ spl6_160 ),
inference(resolution,[],[f2129,f1841]) ).
fof(f1841,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,xm) = sdtasdt0(xm,X0) )
| ~ spl6_145 ),
inference(avatar_component_clause,[],[f1840]) ).
fof(f11426,plain,
( spl6_486
| ~ spl6_144
| ~ spl6_160 ),
inference(avatar_split_clause,[],[f3755,f2128,f1836,f11423]) ).
fof(f11423,plain,
( spl6_486
<=> sdtasdt0(xk,xn) = sdtasdt0(xn,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_486])]) ).
fof(f1836,plain,
( spl6_144
<=> ! [X0] :
( sdtasdt0(X0,xn) = sdtasdt0(xn,X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_144])]) ).
fof(f3755,plain,
( sdtasdt0(xk,xn) = sdtasdt0(xn,xk)
| ~ spl6_144
| ~ spl6_160 ),
inference(resolution,[],[f2129,f1837]) ).
fof(f1837,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,xn) = sdtasdt0(xn,X0) )
| ~ spl6_144 ),
inference(avatar_component_clause,[],[f1836]) ).
fof(f11390,plain,
( spl6_485
| ~ spl6_143
| ~ spl6_160 ),
inference(avatar_split_clause,[],[f3754,f2128,f1832,f11387]) ).
fof(f11387,plain,
( spl6_485
<=> sdtpldt0(xk,xr) = sdtpldt0(xr,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_485])]) ).
fof(f1832,plain,
( spl6_143
<=> ! [X0] :
( sdtpldt0(X0,xr) = sdtpldt0(xr,X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_143])]) ).
fof(f3754,plain,
( sdtpldt0(xk,xr) = sdtpldt0(xr,xk)
| ~ spl6_143
| ~ spl6_160 ),
inference(resolution,[],[f2129,f1833]) ).
fof(f1833,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,xr) = sdtpldt0(xr,X0) )
| ~ spl6_143 ),
inference(avatar_component_clause,[],[f1832]) ).
fof(f11385,plain,
( spl6_484
| ~ spl6_142
| ~ spl6_160 ),
inference(avatar_split_clause,[],[f3753,f2128,f1828,f11382]) ).
fof(f11382,plain,
( spl6_484
<=> sdtpldt0(xk,xp) = sdtpldt0(xp,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_484])]) ).
fof(f1828,plain,
( spl6_142
<=> ! [X0] :
( sdtpldt0(X0,xp) = sdtpldt0(xp,X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_142])]) ).
fof(f3753,plain,
( sdtpldt0(xk,xp) = sdtpldt0(xp,xk)
| ~ spl6_142
| ~ spl6_160 ),
inference(resolution,[],[f2129,f1829]) ).
fof(f1829,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,xp) = sdtpldt0(xp,X0) )
| ~ spl6_142 ),
inference(avatar_component_clause,[],[f1828]) ).
fof(f11380,plain,
( spl6_483
| ~ spl6_140
| ~ spl6_160 ),
inference(avatar_split_clause,[],[f3752,f2128,f1819,f11377]) ).
fof(f11377,plain,
( spl6_483
<=> sdtpldt0(xk,xm) = sdtpldt0(xm,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_483])]) ).
fof(f1819,plain,
( spl6_140
<=> ! [X0] :
( sdtpldt0(X0,xm) = sdtpldt0(xm,X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_140])]) ).
fof(f3752,plain,
( sdtpldt0(xk,xm) = sdtpldt0(xm,xk)
| ~ spl6_140
| ~ spl6_160 ),
inference(resolution,[],[f2129,f1820]) ).
fof(f1820,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,xm) = sdtpldt0(xm,X0) )
| ~ spl6_140 ),
inference(avatar_component_clause,[],[f1819]) ).
fof(f11375,plain,
( spl6_482
| ~ spl6_139
| ~ spl6_160 ),
inference(avatar_split_clause,[],[f3751,f2128,f1815,f11372]) ).
fof(f11372,plain,
( spl6_482
<=> sdtpldt0(xk,xn) = sdtpldt0(xn,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_482])]) ).
fof(f1815,plain,
( spl6_139
<=> ! [X0] :
( sdtpldt0(X0,xn) = sdtpldt0(xn,X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_139])]) ).
fof(f3751,plain,
( sdtpldt0(xk,xn) = sdtpldt0(xn,xk)
| ~ spl6_139
| ~ spl6_160 ),
inference(resolution,[],[f2129,f1816]) ).
fof(f1816,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,xn) = sdtpldt0(xn,X0) )
| ~ spl6_139 ),
inference(avatar_component_clause,[],[f1815]) ).
fof(f11369,plain,
( spl6_481
| ~ spl6_40
| ~ spl6_252 ),
inference(avatar_split_clause,[],[f3639,f3609,f464,f11366]) ).
fof(f11366,plain,
( spl6_481
<=> sz00 = sdtasdt0(sz00,sdtasdt0(xm,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_481])]) ).
fof(f3639,plain,
( sz00 = sdtasdt0(sz00,sdtasdt0(xm,xn))
| ~ spl6_40
| ~ spl6_252 ),
inference(resolution,[],[f3610,f465]) ).
fof(f11363,plain,
( spl6_480
| ~ spl6_39
| ~ spl6_252 ),
inference(avatar_split_clause,[],[f3638,f3609,f460,f11360]) ).
fof(f11360,plain,
( spl6_480
<=> sz00 = sdtasdt0(sdtasdt0(xm,xn),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_480])]) ).
fof(f3638,plain,
( sz00 = sdtasdt0(sdtasdt0(xm,xn),sz00)
| ~ spl6_39
| ~ spl6_252 ),
inference(resolution,[],[f3610,f461]) ).
fof(f11358,plain,
( spl6_479
| ~ spl6_4
| ~ spl6_153 ),
inference(avatar_split_clause,[],[f2099,f1996,f283,f11355]) ).
fof(f11355,plain,
( spl6_479
<=> xr = sdtpldt0(xr,sdtmndt0(xr,xr)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_479])]) ).
fof(f2099,plain,
( xr = sdtpldt0(xr,sdtmndt0(xr,xr))
| ~ spl6_4
| ~ spl6_153 ),
inference(resolution,[],[f1997,f285]) ).
fof(f11353,plain,
( spl6_478
| ~ spl6_8
| ~ spl6_153 ),
inference(avatar_split_clause,[],[f2098,f1996,f303,f11350]) ).
fof(f11350,plain,
( spl6_478
<=> xp = sdtpldt0(xp,sdtmndt0(xp,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_478])]) ).
fof(f2098,plain,
( xp = sdtpldt0(xp,sdtmndt0(xp,xp))
| ~ spl6_8
| ~ spl6_153 ),
inference(resolution,[],[f1997,f305]) ).
fof(f11348,plain,
( spl6_477
| ~ spl6_7
| ~ spl6_153 ),
inference(avatar_split_clause,[],[f2097,f1996,f298,f11345]) ).
fof(f11345,plain,
( spl6_477
<=> xm = sdtpldt0(xm,sdtmndt0(xm,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_477])]) ).
fof(f2097,plain,
( xm = sdtpldt0(xm,sdtmndt0(xm,xm))
| ~ spl6_7
| ~ spl6_153 ),
inference(resolution,[],[f1997,f300]) ).
fof(f11343,plain,
( spl6_476
| ~ spl6_6
| ~ spl6_153 ),
inference(avatar_split_clause,[],[f2096,f1996,f293,f11340]) ).
fof(f11340,plain,
( spl6_476
<=> xn = sdtpldt0(xn,sdtmndt0(xn,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_476])]) ).
fof(f2096,plain,
( xn = sdtpldt0(xn,sdtmndt0(xn,xn))
| ~ spl6_6
| ~ spl6_153 ),
inference(resolution,[],[f1997,f295]) ).
fof(f11338,plain,
( spl6_475
| ~ spl6_9
| ~ spl6_275
| ~ spl6_445 ),
inference(avatar_split_clause,[],[f10743,f10739,f4381,f308,f11335]) ).
fof(f11335,plain,
( spl6_475
<=> sdtlseqdt0(sz00,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_475])]) ).
fof(f4381,plain,
( spl6_275
<=> ! [X0] :
( sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_275])]) ).
fof(f10739,plain,
( spl6_445
<=> sdtlseqdt0(sz00,xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_445])]) ).
fof(f10743,plain,
( ~ aNaturalNumber0(sz00)
| sdtlseqdt0(sz00,xk)
| ~ spl6_275
| ~ spl6_445 ),
inference(resolution,[],[f10741,f4382]) ).
fof(f4382,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X0,xk) )
| ~ spl6_275 ),
inference(avatar_component_clause,[],[f4381]) ).
fof(f10741,plain,
( sdtlseqdt0(sz00,xr)
| ~ spl6_445 ),
inference(avatar_component_clause,[],[f10739]) ).
fof(f11333,plain,
( spl6_474
| ~ spl6_4
| ~ spl6_152 ),
inference(avatar_split_clause,[],[f2085,f1992,f283,f11330]) ).
fof(f11330,plain,
( spl6_474
<=> xr = sdtpldt0(xr,sK5(xr,xr)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_474])]) ).
fof(f2085,plain,
( xr = sdtpldt0(xr,sK5(xr,xr))
| ~ spl6_4
| ~ spl6_152 ),
inference(resolution,[],[f1993,f285]) ).
fof(f11328,plain,
( spl6_473
| ~ spl6_8
| ~ spl6_152 ),
inference(avatar_split_clause,[],[f2084,f1992,f303,f11325]) ).
fof(f11325,plain,
( spl6_473
<=> xp = sdtpldt0(xp,sK5(xp,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_473])]) ).
fof(f2084,plain,
( xp = sdtpldt0(xp,sK5(xp,xp))
| ~ spl6_8
| ~ spl6_152 ),
inference(resolution,[],[f1993,f305]) ).
fof(f11323,plain,
( spl6_472
| ~ spl6_7
| ~ spl6_152 ),
inference(avatar_split_clause,[],[f2083,f1992,f298,f11320]) ).
fof(f11320,plain,
( spl6_472
<=> xm = sdtpldt0(xm,sK5(xm,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_472])]) ).
fof(f2083,plain,
( xm = sdtpldt0(xm,sK5(xm,xm))
| ~ spl6_7
| ~ spl6_152 ),
inference(resolution,[],[f1993,f300]) ).
fof(f11318,plain,
( spl6_471
| ~ spl6_6
| ~ spl6_152 ),
inference(avatar_split_clause,[],[f2082,f1992,f293,f11315]) ).
fof(f11315,plain,
( spl6_471
<=> xn = sdtpldt0(xn,sK5(xn,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_471])]) ).
fof(f2082,plain,
( xn = sdtpldt0(xn,sK5(xn,xn))
| ~ spl6_6
| ~ spl6_152 ),
inference(resolution,[],[f1993,f295]) ).
fof(f11313,plain,
( spl6_470
| ~ spl6_4
| ~ spl6_146 ),
inference(avatar_split_clause,[],[f1952,f1844,f283,f11310]) ).
fof(f11310,plain,
( spl6_470
<=> sdtasdt0(xr,xp) = sdtasdt0(xp,xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_470])]) ).
fof(f1952,plain,
( sdtasdt0(xr,xp) = sdtasdt0(xp,xr)
| ~ spl6_4
| ~ spl6_146 ),
inference(resolution,[],[f1845,f285]) ).
fof(f11308,plain,
( spl6_469
| ~ spl6_4
| ~ spl6_145 ),
inference(avatar_split_clause,[],[f1936,f1840,f283,f11305]) ).
fof(f11305,plain,
( spl6_469
<=> sdtasdt0(xr,xm) = sdtasdt0(xm,xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_469])]) ).
fof(f1936,plain,
( sdtasdt0(xr,xm) = sdtasdt0(xm,xr)
| ~ spl6_4
| ~ spl6_145 ),
inference(resolution,[],[f1841,f285]) ).
fof(f11303,plain,
( spl6_468
| ~ spl6_8
| ~ spl6_145 ),
inference(avatar_split_clause,[],[f1935,f1840,f303,f11300]) ).
fof(f11300,plain,
( spl6_468
<=> sdtasdt0(xp,xm) = sdtasdt0(xm,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_468])]) ).
fof(f1935,plain,
( sdtasdt0(xp,xm) = sdtasdt0(xm,xp)
| ~ spl6_8
| ~ spl6_145 ),
inference(resolution,[],[f1841,f305]) ).
fof(f11298,plain,
( spl6_467
| ~ spl6_4
| ~ spl6_144 ),
inference(avatar_split_clause,[],[f1920,f1836,f283,f11295]) ).
fof(f11295,plain,
( spl6_467
<=> sdtasdt0(xr,xn) = sdtasdt0(xn,xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_467])]) ).
fof(f1920,plain,
( sdtasdt0(xr,xn) = sdtasdt0(xn,xr)
| ~ spl6_4
| ~ spl6_144 ),
inference(resolution,[],[f1837,f285]) ).
fof(f11293,plain,
( spl6_466
| ~ spl6_8
| ~ spl6_144 ),
inference(avatar_split_clause,[],[f1919,f1836,f303,f11290]) ).
fof(f11290,plain,
( spl6_466
<=> sdtasdt0(xp,xn) = sdtasdt0(xn,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_466])]) ).
fof(f1919,plain,
( sdtasdt0(xp,xn) = sdtasdt0(xn,xp)
| ~ spl6_8
| ~ spl6_144 ),
inference(resolution,[],[f1837,f305]) ).
fof(f11287,plain,
( spl6_465
| ~ spl6_7
| ~ spl6_144 ),
inference(avatar_split_clause,[],[f1918,f1836,f298,f11284]) ).
fof(f1918,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xm,xn)
| ~ spl6_7
| ~ spl6_144 ),
inference(resolution,[],[f1837,f300]) ).
fof(f11252,plain,
( spl6_464
| ~ spl6_10
| ~ spl6_143 ),
inference(avatar_split_clause,[],[f1897,f1832,f313,f11249]) ).
fof(f11249,plain,
( spl6_464
<=> sdtpldt0(sz10,xr) = sdtpldt0(xr,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_464])]) ).
fof(f1897,plain,
( sdtpldt0(sz10,xr) = sdtpldt0(xr,sz10)
| ~ spl6_10
| ~ spl6_143 ),
inference(resolution,[],[f1833,f315]) ).
fof(f11247,plain,
( spl6_463
| ~ spl6_4
| ~ spl6_142 ),
inference(avatar_split_clause,[],[f1890,f1828,f283,f11244]) ).
fof(f11244,plain,
( spl6_463
<=> sdtpldt0(xr,xp) = sdtpldt0(xp,xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_463])]) ).
fof(f1890,plain,
( sdtpldt0(xr,xp) = sdtpldt0(xp,xr)
| ~ spl6_4
| ~ spl6_142 ),
inference(resolution,[],[f1829,f285]) ).
fof(f11242,plain,
( spl6_462
| ~ spl6_10
| ~ spl6_142 ),
inference(avatar_split_clause,[],[f1882,f1828,f313,f11239]) ).
fof(f11239,plain,
( spl6_462
<=> sdtpldt0(sz10,xp) = sdtpldt0(xp,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_462])]) ).
fof(f1882,plain,
( sdtpldt0(sz10,xp) = sdtpldt0(xp,sz10)
| ~ spl6_10
| ~ spl6_142 ),
inference(resolution,[],[f1829,f315]) ).
fof(f11237,plain,
( spl6_461
| ~ spl6_4
| ~ spl6_140 ),
inference(avatar_split_clause,[],[f1875,f1819,f283,f11234]) ).
fof(f11234,plain,
( spl6_461
<=> sdtpldt0(xr,xm) = sdtpldt0(xm,xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_461])]) ).
fof(f1875,plain,
( sdtpldt0(xr,xm) = sdtpldt0(xm,xr)
| ~ spl6_4
| ~ spl6_140 ),
inference(resolution,[],[f1820,f285]) ).
fof(f11232,plain,
( spl6_460
| ~ spl6_8
| ~ spl6_140 ),
inference(avatar_split_clause,[],[f1874,f1819,f303,f11229]) ).
fof(f11229,plain,
( spl6_460
<=> sdtpldt0(xp,xm) = sdtpldt0(xm,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_460])]) ).
fof(f1874,plain,
( sdtpldt0(xp,xm) = sdtpldt0(xm,xp)
| ~ spl6_8
| ~ spl6_140 ),
inference(resolution,[],[f1820,f305]) ).
fof(f11227,plain,
( spl6_459
| ~ spl6_10
| ~ spl6_140 ),
inference(avatar_split_clause,[],[f1867,f1819,f313,f11224]) ).
fof(f11224,plain,
( spl6_459
<=> sdtpldt0(sz10,xm) = sdtpldt0(xm,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_459])]) ).
fof(f1867,plain,
( sdtpldt0(sz10,xm) = sdtpldt0(xm,sz10)
| ~ spl6_10
| ~ spl6_140 ),
inference(resolution,[],[f1820,f315]) ).
fof(f11222,plain,
( spl6_458
| ~ spl6_4
| ~ spl6_139 ),
inference(avatar_split_clause,[],[f1860,f1815,f283,f11219]) ).
fof(f11219,plain,
( spl6_458
<=> sdtpldt0(xr,xn) = sdtpldt0(xn,xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_458])]) ).
fof(f1860,plain,
( sdtpldt0(xr,xn) = sdtpldt0(xn,xr)
| ~ spl6_4
| ~ spl6_139 ),
inference(resolution,[],[f1816,f285]) ).
fof(f11217,plain,
( spl6_457
| ~ spl6_8
| ~ spl6_139 ),
inference(avatar_split_clause,[],[f1859,f1815,f303,f11214]) ).
fof(f11214,plain,
( spl6_457
<=> sdtpldt0(xp,xn) = sdtpldt0(xn,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_457])]) ).
fof(f1859,plain,
( sdtpldt0(xp,xn) = sdtpldt0(xn,xp)
| ~ spl6_8
| ~ spl6_139 ),
inference(resolution,[],[f1816,f305]) ).
fof(f11212,plain,
( spl6_456
| ~ spl6_7
| ~ spl6_139 ),
inference(avatar_split_clause,[],[f1858,f1815,f298,f11209]) ).
fof(f11209,plain,
( spl6_456
<=> sdtpldt0(xn,xm) = sdtpldt0(xm,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_456])]) ).
fof(f1858,plain,
( sdtpldt0(xn,xm) = sdtpldt0(xm,xn)
| ~ spl6_7
| ~ spl6_139 ),
inference(resolution,[],[f1816,f300]) ).
fof(f11207,plain,
( spl6_455
| ~ spl6_10
| ~ spl6_139 ),
inference(avatar_split_clause,[],[f1852,f1815,f313,f11204]) ).
fof(f11204,plain,
( spl6_455
<=> sdtpldt0(sz10,xn) = sdtpldt0(xn,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_455])]) ).
fof(f1852,plain,
( sdtpldt0(sz10,xn) = sdtpldt0(xn,sz10)
| ~ spl6_10
| ~ spl6_139 ),
inference(resolution,[],[f1816,f315]) ).
fof(f11202,plain,
( spl6_454
| ~ spl6_9
| ~ spl6_181
| ~ spl6_439 ),
inference(avatar_split_clause,[],[f10618,f10123,f2394,f308,f11199]) ).
fof(f11199,plain,
( spl6_454
<=> sdtlseqdt0(sz00,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_454])]) ).
fof(f10123,plain,
( spl6_439
<=> sdtlseqdt0(sz00,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_439])]) ).
fof(f10618,plain,
( ~ aNaturalNumber0(sz00)
| sdtlseqdt0(sz00,xp)
| ~ spl6_181
| ~ spl6_439 ),
inference(resolution,[],[f10125,f2395]) ).
fof(f10125,plain,
( sdtlseqdt0(sz00,xn)
| ~ spl6_439 ),
inference(avatar_component_clause,[],[f10123]) ).
fof(f11163,plain,
( ~ spl6_10
| ~ spl6_4
| spl6_453
| ~ spl6_71
| ~ spl6_128 ),
inference(avatar_split_clause,[],[f1599,f1248,f716,f11160,f283,f313]) ).
fof(f1599,plain,
( doDivides0(sz10,xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ spl6_71
| ~ spl6_128 ),
inference(duplicate_literal_removal,[],[f1589]) ).
fof(f1589,plain,
( doDivides0(sz10,xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ spl6_71
| ~ spl6_128 ),
inference(superposition,[],[f717,f1250]) ).
fof(f11126,plain,
( ~ spl6_10
| ~ spl6_8
| spl6_452
| ~ spl6_71
| ~ spl6_127 ),
inference(avatar_split_clause,[],[f1586,f1243,f716,f11123,f303,f313]) ).
fof(f11123,plain,
( spl6_452
<=> doDivides0(sz10,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_452])]) ).
fof(f1243,plain,
( spl6_127
<=> xp = sdtasdt0(sz10,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_127])]) ).
fof(f1586,plain,
( doDivides0(sz10,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz10)
| ~ spl6_71
| ~ spl6_127 ),
inference(duplicate_literal_removal,[],[f1576]) ).
fof(f1576,plain,
( doDivides0(sz10,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz10)
| ~ spl6_71
| ~ spl6_127 ),
inference(superposition,[],[f717,f1245]) ).
fof(f1245,plain,
( xp = sdtasdt0(sz10,xp)
| ~ spl6_127 ),
inference(avatar_component_clause,[],[f1243]) ).
fof(f11089,plain,
( ~ spl6_10
| ~ spl6_7
| spl6_451
| ~ spl6_71
| ~ spl6_126 ),
inference(avatar_split_clause,[],[f1573,f1238,f716,f11086,f298,f313]) ).
fof(f11086,plain,
( spl6_451
<=> doDivides0(sz10,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_451])]) ).
fof(f1573,plain,
( doDivides0(sz10,xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz10)
| ~ spl6_71
| ~ spl6_126 ),
inference(duplicate_literal_removal,[],[f1563]) ).
fof(f1563,plain,
( doDivides0(sz10,xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz10)
| ~ spl6_71
| ~ spl6_126 ),
inference(superposition,[],[f717,f1240]) ).
fof(f11052,plain,
( ~ spl6_10
| ~ spl6_6
| spl6_450
| ~ spl6_71
| ~ spl6_125 ),
inference(avatar_split_clause,[],[f1560,f1233,f716,f11049,f293,f313]) ).
fof(f11049,plain,
( spl6_450
<=> doDivides0(sz10,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_450])]) ).
fof(f1560,plain,
( doDivides0(sz10,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz10)
| ~ spl6_71
| ~ spl6_125 ),
inference(duplicate_literal_removal,[],[f1550]) ).
fof(f1550,plain,
( doDivides0(sz10,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz10)
| ~ spl6_71
| ~ spl6_125 ),
inference(superposition,[],[f717,f1235]) ).
fof(f10982,plain,
( ~ spl6_4
| ~ spl6_10
| spl6_449
| ~ spl6_71
| ~ spl6_124 ),
inference(avatar_split_clause,[],[f1547,f1228,f716,f10979,f313,f283]) ).
fof(f10979,plain,
( spl6_449
<=> doDivides0(xr,xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_449])]) ).
fof(f1228,plain,
( spl6_124
<=> xr = sdtasdt0(xr,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_124])]) ).
fof(f1547,plain,
( doDivides0(xr,xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xr)
| ~ spl6_71
| ~ spl6_124 ),
inference(duplicate_literal_removal,[],[f1537]) ).
fof(f1537,plain,
( doDivides0(xr,xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xr)
| ~ spl6_71
| ~ spl6_124 ),
inference(superposition,[],[f717,f1230]) ).
fof(f1230,plain,
( xr = sdtasdt0(xr,sz10)
| ~ spl6_124 ),
inference(avatar_component_clause,[],[f1228]) ).
fof(f10914,plain,
( ~ spl6_8
| ~ spl6_10
| spl6_448
| ~ spl6_71
| ~ spl6_123 ),
inference(avatar_split_clause,[],[f1534,f1223,f716,f10911,f313,f303]) ).
fof(f10911,plain,
( spl6_448
<=> doDivides0(xp,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_448])]) ).
fof(f1223,plain,
( spl6_123
<=> xp = sdtasdt0(xp,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_123])]) ).
fof(f1534,plain,
( doDivides0(xp,xp)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ spl6_71
| ~ spl6_123 ),
inference(duplicate_literal_removal,[],[f1524]) ).
fof(f1524,plain,
( doDivides0(xp,xp)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xp)
| ~ spl6_71
| ~ spl6_123 ),
inference(superposition,[],[f717,f1225]) ).
fof(f1225,plain,
( xp = sdtasdt0(xp,sz10)
| ~ spl6_123 ),
inference(avatar_component_clause,[],[f1223]) ).
fof(f10846,plain,
( ~ spl6_7
| ~ spl6_10
| spl6_447
| ~ spl6_71
| ~ spl6_120 ),
inference(avatar_split_clause,[],[f1521,f1209,f716,f10843,f313,f298]) ).
fof(f10843,plain,
( spl6_447
<=> doDivides0(xm,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_447])]) ).
fof(f1209,plain,
( spl6_120
<=> xm = sdtasdt0(xm,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_120])]) ).
fof(f1521,plain,
( doDivides0(xm,xm)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ spl6_71
| ~ spl6_120 ),
inference(duplicate_literal_removal,[],[f1511]) ).
fof(f1511,plain,
( doDivides0(xm,xm)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xm)
| ~ spl6_71
| ~ spl6_120 ),
inference(superposition,[],[f717,f1211]) ).
fof(f1211,plain,
( xm = sdtasdt0(xm,sz10)
| ~ spl6_120 ),
inference(avatar_component_clause,[],[f1209]) ).
fof(f10778,plain,
( ~ spl6_6
| ~ spl6_10
| spl6_446
| ~ spl6_71
| ~ spl6_119 ),
inference(avatar_split_clause,[],[f1508,f1204,f716,f10775,f313,f293]) ).
fof(f10775,plain,
( spl6_446
<=> doDivides0(xn,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_446])]) ).
fof(f1204,plain,
( spl6_119
<=> xn = sdtasdt0(xn,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_119])]) ).
fof(f1508,plain,
( doDivides0(xn,xn)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ spl6_71
| ~ spl6_119 ),
inference(duplicate_literal_removal,[],[f1498]) ).
fof(f1498,plain,
( doDivides0(xn,xn)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xn)
| ~ spl6_71
| ~ spl6_119 ),
inference(superposition,[],[f717,f1206]) ).
fof(f1206,plain,
( xn = sdtasdt0(xn,sz10)
| ~ spl6_119 ),
inference(avatar_component_clause,[],[f1204]) ).
fof(f10742,plain,
( ~ spl6_9
| ~ spl6_4
| spl6_445
| ~ spl6_72
| ~ spl6_118 ),
inference(avatar_split_clause,[],[f1494,f1199,f720,f10739,f283,f308]) ).
fof(f1494,plain,
( sdtlseqdt0(sz00,xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ spl6_72
| ~ spl6_118 ),
inference(duplicate_literal_removal,[],[f1482]) ).
fof(f1482,plain,
( sdtlseqdt0(sz00,xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ spl6_72
| ~ spl6_118 ),
inference(superposition,[],[f721,f1201]) ).
fof(f10706,plain,
( ~ spl6_9
| ~ spl6_7
| spl6_444
| ~ spl6_72
| ~ spl6_116 ),
inference(avatar_split_clause,[],[f1460,f1189,f720,f10703,f298,f308]) ).
fof(f10703,plain,
( spl6_444
<=> sdtlseqdt0(sz00,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_444])]) ).
fof(f1460,plain,
( sdtlseqdt0(sz00,xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00)
| ~ spl6_72
| ~ spl6_116 ),
inference(duplicate_literal_removal,[],[f1448]) ).
fof(f1448,plain,
( sdtlseqdt0(sz00,xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00)
| ~ spl6_72
| ~ spl6_116 ),
inference(superposition,[],[f721,f1191]) ).
fof(f10458,plain,
( spl6_443
| ~ spl6_75
| ~ spl6_99 ),
inference(avatar_split_clause,[],[f1092,f1082,f789,f10456]) ).
fof(f10456,plain,
( spl6_443
<=> ! [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_443])]) ).
fof(f1082,plain,
( spl6_99
<=> ! [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_99])]) ).
fof(f1092,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_75
| ~ spl6_99 ),
inference(resolution,[],[f1083,f790]) ).
fof(f1083,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_99 ),
inference(avatar_component_clause,[],[f1082]) ).
fof(f10454,plain,
( spl6_442
| ~ spl6_76
| ~ spl6_99 ),
inference(avatar_split_clause,[],[f1091,f1082,f793,f10452]) ).
fof(f10452,plain,
( spl6_442
<=> ! [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_442])]) ).
fof(f1091,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_76
| ~ spl6_99 ),
inference(resolution,[],[f1083,f794]) ).
fof(f10450,plain,
( spl6_441
| ~ spl6_75
| ~ spl6_98 ),
inference(avatar_split_clause,[],[f1087,f1078,f789,f10448]) ).
fof(f10448,plain,
( spl6_441
<=> ! [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_441])]) ).
fof(f1078,plain,
( spl6_98
<=> ! [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_98])]) ).
fof(f1087,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_75
| ~ spl6_98 ),
inference(resolution,[],[f1079,f790]) ).
fof(f1079,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_98 ),
inference(avatar_component_clause,[],[f1078]) ).
fof(f10446,plain,
( spl6_440
| ~ spl6_76
| ~ spl6_98 ),
inference(avatar_split_clause,[],[f1086,f1078,f793,f10444]) ).
fof(f10444,plain,
( spl6_440
<=> ! [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_440])]) ).
fof(f1086,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_76
| ~ spl6_98 ),
inference(resolution,[],[f1079,f794]) ).
fof(f10126,plain,
( ~ spl6_9
| ~ spl6_6
| spl6_439
| ~ spl6_72
| ~ spl6_115 ),
inference(avatar_split_clause,[],[f1443,f1184,f720,f10123,f293,f308]) ).
fof(f1443,plain,
( sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz00)
| ~ spl6_72
| ~ spl6_115 ),
inference(duplicate_literal_removal,[],[f1431]) ).
fof(f1431,plain,
( sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz00)
| ~ spl6_72
| ~ spl6_115 ),
inference(superposition,[],[f721,f1186]) ).
fof(f10005,plain,
( spl6_438
| ~ spl6_68
| ~ spl6_99 ),
inference(avatar_split_clause,[],[f1094,f1082,f702,f10003]) ).
fof(f10003,plain,
( spl6_438
<=> ! [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_438])]) ).
fof(f1094,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_68
| ~ spl6_99 ),
inference(resolution,[],[f1083,f703]) ).
fof(f10001,plain,
( spl6_437
| ~ spl6_70
| ~ spl6_99 ),
inference(avatar_split_clause,[],[f1093,f1082,f712,f9999]) ).
fof(f9999,plain,
( spl6_437
<=> ! [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_437])]) ).
fof(f1093,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_70
| ~ spl6_99 ),
inference(resolution,[],[f1083,f713]) ).
fof(f9997,plain,
( spl6_436
| ~ spl6_68
| ~ spl6_98 ),
inference(avatar_split_clause,[],[f1089,f1078,f702,f9995]) ).
fof(f9995,plain,
( spl6_436
<=> ! [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_436])]) ).
fof(f1089,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_68
| ~ spl6_98 ),
inference(resolution,[],[f1079,f703]) ).
fof(f9993,plain,
( spl6_435
| ~ spl6_70
| ~ spl6_98 ),
inference(avatar_split_clause,[],[f1088,f1078,f712,f9991]) ).
fof(f9991,plain,
( spl6_435
<=> ! [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_435])]) ).
fof(f1088,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_70
| ~ spl6_98 ),
inference(resolution,[],[f1079,f713]) ).
fof(f9955,plain,
( spl6_434
| ~ spl6_86
| ~ spl6_100 ),
inference(avatar_split_clause,[],[f1114,f1096,f923,f9953]) ).
fof(f9953,plain,
( spl6_434
<=> ! [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_434])]) ).
fof(f923,plain,
( spl6_86
<=> ! [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_86])]) ).
fof(f1114,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_86
| ~ spl6_100 ),
inference(duplicate_literal_removal,[],[f1104]) ).
fof(f1104,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_86
| ~ spl6_100 ),
inference(resolution,[],[f1097,f924]) ).
fof(f924,plain,
( ! [X2,X0,X1] :
( doDivides0(X0,sdtpldt0(X1,X2))
| ~ doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_86 ),
inference(avatar_component_clause,[],[f923]) ).
fof(f9560,plain,
( spl6_433
| ~ spl6_81
| ~ spl6_99 ),
inference(avatar_split_clause,[],[f1090,f1082,f869,f9558]) ).
fof(f9558,plain,
( spl6_433
<=> ! [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_433])]) ).
fof(f1090,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_81
| ~ spl6_99 ),
inference(resolution,[],[f1083,f870]) ).
fof(f9556,plain,
( spl6_432
| ~ spl6_81
| ~ spl6_98 ),
inference(avatar_split_clause,[],[f1085,f1078,f869,f9554]) ).
fof(f9554,plain,
( spl6_432
<=> ! [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_432])]) ).
fof(f1085,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_81
| ~ spl6_98 ),
inference(resolution,[],[f1079,f870]) ).
fof(f9552,plain,
( spl6_431
| ~ spl6_75
| ~ spl6_92 ),
inference(avatar_split_clause,[],[f1025,f1003,f789,f9550]) ).
fof(f9550,plain,
( spl6_431
<=> ! [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_431])]) ).
fof(f1003,plain,
( spl6_92
<=> ! [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_92])]) ).
fof(f1025,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_75
| ~ spl6_92 ),
inference(resolution,[],[f1004,f790]) ).
fof(f1004,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_92 ),
inference(avatar_component_clause,[],[f1003]) ).
fof(f9548,plain,
( spl6_430
| ~ spl6_76
| ~ spl6_92 ),
inference(avatar_split_clause,[],[f1024,f1003,f793,f9546]) ).
fof(f9546,plain,
( spl6_430
<=> ! [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_430])]) ).
fof(f1024,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_76
| ~ spl6_92 ),
inference(resolution,[],[f1004,f794]) ).
fof(f9544,plain,
( spl6_429
| ~ spl6_75
| ~ spl6_91 ),
inference(avatar_split_clause,[],[f1020,f999,f789,f9542]) ).
fof(f9542,plain,
( spl6_429
<=> ! [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_429])]) ).
fof(f999,plain,
( spl6_91
<=> ! [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_91])]) ).
fof(f1020,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_75
| ~ spl6_91 ),
inference(resolution,[],[f1000,f790]) ).
fof(f1000,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_91 ),
inference(avatar_component_clause,[],[f999]) ).
fof(f9515,plain,
( spl6_428
| ~ spl6_76
| ~ spl6_91 ),
inference(avatar_split_clause,[],[f1019,f999,f793,f9513]) ).
fof(f9513,plain,
( spl6_428
<=> ! [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_428])]) ).
fof(f1019,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_76
| ~ spl6_91 ),
inference(resolution,[],[f1000,f794]) ).
fof(f9511,plain,
( spl6_427
| ~ spl6_63
| ~ spl6_87 ),
inference(avatar_split_clause,[],[f972,f927,f680,f9509]) ).
fof(f9509,plain,
( spl6_427
<=> ! [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_427])]) ).
fof(f680,plain,
( spl6_63
<=> ! [X0] :
( doDivides0(sK3(X0),X0)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_63])]) ).
fof(f927,plain,
( spl6_87
<=> ! [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_87])]) ).
fof(f972,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_63
| ~ spl6_87 ),
inference(resolution,[],[f928,f681]) ).
fof(f681,plain,
( ! [X0] :
( doDivides0(sK3(X0),X0)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl6_63 ),
inference(avatar_component_clause,[],[f680]) ).
fof(f928,plain,
( ! [X2,X0,X1] :
( ~ doDivides0(X0,sdtpldt0(X1,X2))
| doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_87 ),
inference(avatar_component_clause,[],[f927]) ).
fof(f9507,plain,
( spl6_426
| ~ spl6_60
| ~ spl6_87 ),
inference(avatar_split_clause,[],[f971,f927,f668,f9505]) ).
fof(f9505,plain,
( spl6_426
<=> ! [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_426])]) ).
fof(f668,plain,
( spl6_60
<=> ! [X0] :
( sP0(X0)
| doDivides0(sK2(X0),X0)
| sz10 = X0
| sz00 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_60])]) ).
fof(f971,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_60
| ~ spl6_87 ),
inference(resolution,[],[f928,f669]) ).
fof(f669,plain,
( ! [X0] :
( doDivides0(sK2(X0),X0)
| sP0(X0)
| sz10 = X0
| sz00 = X0 )
| ~ spl6_60 ),
inference(avatar_component_clause,[],[f668]) ).
fof(f9190,plain,
( spl6_425
| ~ spl6_68
| ~ spl6_92 ),
inference(avatar_split_clause,[],[f1027,f1003,f702,f9188]) ).
fof(f9188,plain,
( spl6_425
<=> ! [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_425])]) ).
fof(f1027,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_68
| ~ spl6_92 ),
inference(resolution,[],[f1004,f703]) ).
fof(f9186,plain,
( spl6_424
| ~ spl6_70
| ~ spl6_92 ),
inference(avatar_split_clause,[],[f1026,f1003,f712,f9184]) ).
fof(f9184,plain,
( spl6_424
<=> ! [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_424])]) ).
fof(f1026,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_70
| ~ spl6_92 ),
inference(resolution,[],[f1004,f713]) ).
fof(f9182,plain,
( spl6_423
| ~ spl6_68
| ~ spl6_91 ),
inference(avatar_split_clause,[],[f1022,f999,f702,f9180]) ).
fof(f9180,plain,
( spl6_423
<=> ! [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_423])]) ).
fof(f1022,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_68
| ~ spl6_91 ),
inference(resolution,[],[f1000,f703]) ).
fof(f9145,plain,
( spl6_422
| ~ spl6_70
| ~ spl6_91 ),
inference(avatar_split_clause,[],[f1021,f999,f712,f9143]) ).
fof(f9143,plain,
( spl6_422
<=> ! [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_422])]) ).
fof(f1021,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_70
| ~ spl6_91 ),
inference(resolution,[],[f1000,f713]) ).
fof(f9023,plain,
( spl6_421
| ~ spl6_60
| ~ spl6_100 ),
inference(avatar_split_clause,[],[f1111,f1096,f668,f9021]) ).
fof(f9021,plain,
( spl6_421
<=> ! [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_421])]) ).
fof(f1111,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_60
| ~ spl6_100 ),
inference(resolution,[],[f1097,f669]) ).
fof(f9019,plain,
( spl6_420
| ~ spl6_81
| ~ spl6_92 ),
inference(avatar_split_clause,[],[f1023,f1003,f869,f9017]) ).
fof(f9017,plain,
( spl6_420
<=> ! [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_420])]) ).
fof(f1023,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_81
| ~ spl6_92 ),
inference(resolution,[],[f1004,f870]) ).
fof(f9015,plain,
( spl6_419
| ~ spl6_81
| ~ spl6_91 ),
inference(avatar_split_clause,[],[f1018,f999,f869,f9013]) ).
fof(f9013,plain,
( spl6_419
<=> ! [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_419])]) ).
fof(f1018,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_81
| ~ spl6_91 ),
inference(resolution,[],[f1000,f870]) ).
fof(f8937,plain,
( spl6_418
| ~ spl6_77
| ~ spl6_94 ),
inference(avatar_split_clause,[],[f1047,f1011,f797,f8935]) ).
fof(f8935,plain,
( spl6_418
<=> ! [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_418])]) ).
fof(f1011,plain,
( spl6_94
<=> ! [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_94])]) ).
fof(f1047,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_77
| ~ spl6_94 ),
inference(resolution,[],[f1012,f798]) ).
fof(f1012,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_94 ),
inference(avatar_component_clause,[],[f1011]) ).
fof(f8933,plain,
( spl6_417
| ~ spl6_9
| ~ spl6_40
| ~ spl6_303
| ~ spl6_364
| ~ spl6_365 ),
inference(avatar_split_clause,[],[f7194,f7172,f7168,f5146,f464,f308,f8930]) ).
fof(f8930,plain,
( spl6_417
<=> sz00 = sdtsldt0(sz00,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_417])]) ).
fof(f7172,plain,
( spl6_365
<=> sz00 = sdtasdt0(sz00,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_365])]) ).
fof(f7194,plain,
( sz00 = sdtsldt0(sz00,xp)
| ~ spl6_9
| ~ spl6_40
| ~ spl6_303
| ~ spl6_364
| ~ spl6_365 ),
inference(forward_demodulation,[],[f7193,f7174]) ).
fof(f7174,plain,
( sz00 = sdtasdt0(sz00,xk)
| ~ spl6_365 ),
inference(avatar_component_clause,[],[f7172]) ).
fof(f7193,plain,
( sdtsldt0(sz00,xp) = sdtasdt0(sz00,xk)
| ~ spl6_9
| ~ spl6_40
| ~ spl6_303
| ~ spl6_364 ),
inference(forward_demodulation,[],[f7176,f5619]) ).
fof(f7176,plain,
( sdtasdt0(sz00,xk) = sdtsldt0(sdtasdt0(sz00,sdtasdt0(xk,xp)),xp)
| ~ spl6_9
| ~ spl6_364 ),
inference(resolution,[],[f7169,f310]) ).
fof(f8928,plain,
( spl6_416
| ~ spl6_77
| ~ spl6_93 ),
inference(avatar_split_clause,[],[f1033,f1007,f797,f8926]) ).
fof(f8926,plain,
( spl6_416
<=> ! [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_416])]) ).
fof(f1007,plain,
( spl6_93
<=> ! [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_93])]) ).
fof(f1033,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_77
| ~ spl6_93 ),
inference(resolution,[],[f1008,f798]) ).
fof(f1008,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_93 ),
inference(avatar_component_clause,[],[f1007]) ).
fof(f8890,plain,
( spl6_415
| ~ spl6_63
| ~ spl6_100 ),
inference(avatar_split_clause,[],[f1113,f1096,f680,f8888]) ).
fof(f8888,plain,
( spl6_415
<=> ! [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_415])]) ).
fof(f1113,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_63
| ~ spl6_100 ),
inference(duplicate_literal_removal,[],[f1112]) ).
fof(f1112,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_63
| ~ spl6_100 ),
inference(resolution,[],[f1097,f681]) ).
fof(f8886,plain,
( spl6_414
| ~ spl6_86
| ~ spl6_88 ),
inference(avatar_split_clause,[],[f985,f931,f923,f8884]) ).
fof(f8884,plain,
( spl6_414
<=> ! [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_414])]) ).
fof(f985,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_86
| ~ spl6_88 ),
inference(duplicate_literal_removal,[],[f975]) ).
fof(f975,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_86
| ~ spl6_88 ),
inference(resolution,[],[f932,f924]) ).
fof(f8808,plain,
( spl6_413
| ~ spl6_77
| ~ spl6_85 ),
inference(avatar_split_clause,[],[f953,f917,f797,f8806]) ).
fof(f8806,plain,
( spl6_413
<=> ! [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_413])]) ).
fof(f917,plain,
( spl6_85
<=> ! [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_85])]) ).
fof(f953,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_77
| ~ spl6_85 ),
inference(resolution,[],[f918,f798]) ).
fof(f918,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_85 ),
inference(avatar_component_clause,[],[f917]) ).
fof(f8804,plain,
( spl6_412
| ~ spl6_77
| ~ spl6_84 ),
inference(avatar_split_clause,[],[f939,f913,f797,f8802]) ).
fof(f8802,plain,
( spl6_412
<=> ! [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_412])]) ).
fof(f913,plain,
( spl6_84
<=> ! [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_84])]) ).
fof(f939,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_77
| ~ spl6_84 ),
inference(resolution,[],[f914,f798]) ).
fof(f914,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_84 ),
inference(avatar_component_clause,[],[f913]) ).
fof(f8476,plain,
( spl6_411
| ~ spl6_71
| ~ spl6_100 ),
inference(avatar_split_clause,[],[f1115,f1096,f716,f8474]) ).
fof(f8474,plain,
( spl6_411
<=> ! [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_411])]) ).
fof(f1115,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_71
| ~ spl6_100 ),
inference(duplicate_literal_removal,[],[f1103]) ).
fof(f1103,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_71
| ~ spl6_100 ),
inference(resolution,[],[f1097,f717]) ).
fof(f8472,plain,
( spl6_410
| ~ spl6_58
| ~ spl6_94 ),
inference(avatar_split_clause,[],[f1055,f1011,f597,f8470]) ).
fof(f8470,plain,
( spl6_410
<=> ! [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_410])]) ).
fof(f597,plain,
( spl6_58
<=> ! [X0,X1] :
( aNaturalNumber0(sK5(X0,X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_58])]) ).
fof(f1055,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_58
| ~ spl6_94 ),
inference(resolution,[],[f1012,f598]) ).
fof(f598,plain,
( ! [X0,X1] :
( aNaturalNumber0(sK5(X0,X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_58 ),
inference(avatar_component_clause,[],[f597]) ).
fof(f8468,plain,
( spl6_409
| ~ spl6_57
| ~ spl6_94 ),
inference(avatar_split_clause,[],[f1054,f1011,f593,f8466]) ).
fof(f8466,plain,
( spl6_409
<=> ! [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_409])]) ).
fof(f593,plain,
( spl6_57
<=> ! [X0,X1] :
( aNaturalNumber0(sK4(X0,X1))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_57])]) ).
fof(f1054,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_57
| ~ spl6_94 ),
inference(resolution,[],[f1012,f594]) ).
fof(f594,plain,
( ! [X0,X1] :
( aNaturalNumber0(sK4(X0,X1))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_57 ),
inference(avatar_component_clause,[],[f593]) ).
fof(f8464,plain,
( spl6_408
| ~ spl6_59
| ~ spl6_94 ),
inference(avatar_split_clause,[],[f1046,f1011,f601,f8462]) ).
fof(f8462,plain,
( spl6_408
<=> ! [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_408])]) ).
fof(f601,plain,
( spl6_59
<=> ! [X0,X1] :
( aNaturalNumber0(sdtmndt0(X1,X0))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_59])]) ).
fof(f1046,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_59
| ~ spl6_94 ),
inference(resolution,[],[f1012,f602]) ).
fof(f602,plain,
( ! [X0,X1] :
( aNaturalNumber0(sdtmndt0(X1,X0))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_59 ),
inference(avatar_component_clause,[],[f601]) ).
fof(f8437,plain,
( spl6_407
| ~ spl6_58
| ~ spl6_93 ),
inference(avatar_split_clause,[],[f1041,f1007,f597,f8435]) ).
fof(f8435,plain,
( spl6_407
<=> ! [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_407])]) ).
fof(f1041,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_58
| ~ spl6_93 ),
inference(resolution,[],[f1008,f598]) ).
fof(f8433,plain,
( spl6_406
| ~ spl6_57
| ~ spl6_93 ),
inference(avatar_split_clause,[],[f1040,f1007,f593,f8431]) ).
fof(f8431,plain,
( spl6_406
<=> ! [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_406])]) ).
fof(f1040,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_57
| ~ spl6_93 ),
inference(resolution,[],[f1008,f594]) ).
fof(f8429,plain,
( spl6_405
| ~ spl6_59
| ~ spl6_93 ),
inference(avatar_split_clause,[],[f1032,f1007,f601,f8427]) ).
fof(f8427,plain,
( spl6_405
<=> ! [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_405])]) ).
fof(f1032,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_59
| ~ spl6_93 ),
inference(resolution,[],[f1008,f602]) ).
fof(f8319,plain,
( spl6_404
| ~ spl6_53
| ~ spl6_94 ),
inference(avatar_split_clause,[],[f1053,f1011,f575,f8317]) ).
fof(f8317,plain,
( spl6_404
<=> ! [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_404])]) ).
fof(f575,plain,
( spl6_53
<=> ! [X0] :
( aNaturalNumber0(sK3(X0))
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_53])]) ).
fof(f1053,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_53
| ~ spl6_94 ),
inference(resolution,[],[f1012,f576]) ).
fof(f576,plain,
( ! [X0] :
( aNaturalNumber0(sK3(X0))
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl6_53 ),
inference(avatar_component_clause,[],[f575]) ).
fof(f8315,plain,
( spl6_403
| ~ spl6_52
| ~ spl6_94 ),
inference(avatar_split_clause,[],[f1052,f1011,f571,f8313]) ).
fof(f8313,plain,
( spl6_403
<=> ! [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_403])]) ).
fof(f571,plain,
( spl6_52
<=> ! [X0] :
( sP0(X0)
| aNaturalNumber0(sK2(X0))
| sz10 = X0
| sz00 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_52])]) ).
fof(f1052,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_52
| ~ spl6_94 ),
inference(resolution,[],[f1012,f572]) ).
fof(f572,plain,
( ! [X0] :
( aNaturalNumber0(sK2(X0))
| sP0(X0)
| sz10 = X0
| sz00 = X0 )
| ~ spl6_52 ),
inference(avatar_component_clause,[],[f571]) ).
fof(f8289,plain,
( spl6_402
| ~ spl6_53
| ~ spl6_93 ),
inference(avatar_split_clause,[],[f1039,f1007,f575,f8287]) ).
fof(f8287,plain,
( spl6_402
<=> ! [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_402])]) ).
fof(f1039,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_53
| ~ spl6_93 ),
inference(resolution,[],[f1008,f576]) ).
fof(f8285,plain,
( spl6_401
| ~ spl6_52
| ~ spl6_93 ),
inference(avatar_split_clause,[],[f1038,f1007,f571,f8283]) ).
fof(f8283,plain,
( spl6_401
<=> ! [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_401])]) ).
fof(f1038,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_52
| ~ spl6_93 ),
inference(resolution,[],[f1008,f572]) ).
fof(f8281,plain,
( spl6_400
| ~ spl6_74
| ~ spl6_86 ),
inference(avatar_split_clause,[],[f968,f923,f785,f8279]) ).
fof(f8279,plain,
( spl6_400
<=> ! [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_400])]) ).
fof(f968,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_74
| ~ spl6_86 ),
inference(duplicate_literal_removal,[],[f963]) ).
fof(f963,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_74
| ~ spl6_86 ),
inference(resolution,[],[f924,f786]) ).
fof(f7891,plain,
( spl6_399
| ~ spl6_60
| ~ spl6_88 ),
inference(avatar_split_clause,[],[f982,f931,f668,f7889]) ).
fof(f7889,plain,
( spl6_399
<=> ! [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_399])]) ).
fof(f982,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_60
| ~ spl6_88 ),
inference(resolution,[],[f932,f669]) ).
fof(f7887,plain,
( spl6_398
| ~ spl6_79
| ~ spl6_86 ),
inference(avatar_split_clause,[],[f969,f923,f860,f7885]) ).
fof(f7885,plain,
( spl6_398
<=> ! [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_398])]) ).
fof(f969,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_79
| ~ spl6_86 ),
inference(duplicate_literal_removal,[],[f962]) ).
fof(f962,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_79
| ~ spl6_86 ),
inference(resolution,[],[f924,f861]) ).
fof(f7883,plain,
( spl6_397
| ~ spl6_69
| ~ spl6_86 ),
inference(avatar_split_clause,[],[f967,f923,f708,f7881]) ).
fof(f7881,plain,
( spl6_397
<=> ! [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_397])]) ).
fof(f967,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_69
| ~ spl6_86 ),
inference(duplicate_literal_removal,[],[f964]) ).
fof(f964,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_69
| ~ spl6_86 ),
inference(resolution,[],[f924,f709]) ).
fof(f7879,plain,
( spl6_396
| ~ spl6_58
| ~ spl6_85 ),
inference(avatar_split_clause,[],[f961,f917,f597,f7877]) ).
fof(f7877,plain,
( spl6_396
<=> ! [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_396])]) ).
fof(f961,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_58
| ~ spl6_85 ),
inference(resolution,[],[f918,f598]) ).
fof(f7875,plain,
( spl6_395
| ~ spl6_57
| ~ spl6_85 ),
inference(avatar_split_clause,[],[f960,f917,f593,f7873]) ).
fof(f7873,plain,
( spl6_395
<=> ! [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_395])]) ).
fof(f960,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_57
| ~ spl6_85 ),
inference(resolution,[],[f918,f594]) ).
fof(f7871,plain,
( spl6_394
| ~ spl6_59
| ~ spl6_85 ),
inference(avatar_split_clause,[],[f952,f917,f601,f7869]) ).
fof(f7869,plain,
( spl6_394
<=> ! [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_394])]) ).
fof(f952,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_59
| ~ spl6_85 ),
inference(resolution,[],[f918,f602]) ).
fof(f7867,plain,
( spl6_393
| ~ spl6_58
| ~ spl6_84 ),
inference(avatar_split_clause,[],[f947,f913,f597,f7865]) ).
fof(f7865,plain,
( spl6_393
<=> ! [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_393])]) ).
fof(f947,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_58
| ~ spl6_84 ),
inference(resolution,[],[f914,f598]) ).
fof(f7863,plain,
( spl6_392
| ~ spl6_57
| ~ spl6_84 ),
inference(avatar_split_clause,[],[f946,f913,f593,f7861]) ).
fof(f7861,plain,
( spl6_392
<=> ! [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_392])]) ).
fof(f946,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_57
| ~ spl6_84 ),
inference(resolution,[],[f914,f594]) ).
fof(f7859,plain,
( spl6_391
| ~ spl6_59
| ~ spl6_84 ),
inference(avatar_split_clause,[],[f938,f913,f601,f7857]) ).
fof(f7857,plain,
( spl6_391
<=> ! [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_391])]) ).
fof(f938,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_59
| ~ spl6_84 ),
inference(resolution,[],[f914,f602]) ).
fof(f7834,plain,
( ~ spl6_4
| spl6_204
| ~ spl6_303
| spl6_390
| ~ spl6_7
| ~ spl6_29
| ~ spl6_100
| ~ spl6_144
| ~ spl6_278 ),
inference(avatar_split_clause,[],[f4542,f4454,f1836,f1096,f413,f298,f7832,f5146,f2703,f283]) ).
fof(f7832,plain,
( spl6_390
<=> ! [X0] :
( sdtasdt0(X0,sdtsldt0(sdtasdt0(xk,xp),xr)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xk,xp)),xr)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_390])]) ).
fof(f4542,plain,
( ! [X0] :
( sdtasdt0(X0,sdtsldt0(sdtasdt0(xk,xp),xr)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xk,xp)),xr)
| ~ aNaturalNumber0(sdtasdt0(xk,xp))
| ~ aNaturalNumber0(X0)
| sz00 = xr
| ~ aNaturalNumber0(xr) )
| ~ spl6_7
| ~ spl6_29
| ~ spl6_100
| ~ spl6_144
| ~ spl6_278 ),
inference(forward_demodulation,[],[f4541,f4456]) ).
fof(f4541,plain,
( ! [X0] :
( ~ aNaturalNumber0(sdtasdt0(xk,xp))
| sdtasdt0(X0,sdtsldt0(sdtasdt0(xm,xn),xr)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xm,xn)),xr)
| ~ aNaturalNumber0(X0)
| sz00 = xr
| ~ aNaturalNumber0(xr) )
| ~ spl6_7
| ~ spl6_29
| ~ spl6_100
| ~ spl6_144
| ~ spl6_278 ),
inference(forward_demodulation,[],[f2754,f4456]) ).
fof(f2754,plain,
( ! [X0] :
( ~ aNaturalNumber0(sdtasdt0(xm,xn))
| sdtasdt0(X0,sdtsldt0(sdtasdt0(xm,xn),xr)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xm,xn)),xr)
| ~ aNaturalNumber0(X0)
| sz00 = xr
| ~ aNaturalNumber0(xr) )
| ~ spl6_7
| ~ spl6_29
| ~ spl6_100
| ~ spl6_144 ),
inference(forward_demodulation,[],[f2753,f1918]) ).
fof(f2753,plain,
( ! [X0] :
( sdtasdt0(X0,sdtsldt0(sdtasdt0(xm,xn),xr)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xm,xn)),xr)
| ~ aNaturalNumber0(X0)
| sz00 = xr
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xr) )
| ~ spl6_7
| ~ spl6_29
| ~ spl6_100
| ~ spl6_144 ),
inference(forward_demodulation,[],[f1110,f1918]) ).
fof(f1110,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xm),xr)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xn,xm)),xr)
| sz00 = xr
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xr) )
| ~ spl6_29
| ~ spl6_100 ),
inference(resolution,[],[f1097,f415]) ).
fof(f7699,plain,
( ~ spl6_340
| spl6_255
| ~ spl6_278 ),
inference(avatar_split_clause,[],[f4461,f4454,f3631,f6524]) ).
fof(f6524,plain,
( spl6_340
<=> sdtlseqdt0(xr,sdtasdt0(xk,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_340])]) ).
fof(f3631,plain,
( spl6_255
<=> sdtlseqdt0(xr,sdtasdt0(xm,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_255])]) ).
fof(f4461,plain,
( ~ sdtlseqdt0(xr,sdtasdt0(xk,xp))
| spl6_255
| ~ spl6_278 ),
inference(superposition,[],[f3633,f4456]) ).
fof(f3633,plain,
( ~ sdtlseqdt0(xr,sdtasdt0(xm,xn))
| spl6_255 ),
inference(avatar_component_clause,[],[f3631]) ).
fof(f7680,plain,
( spl6_389
| ~ spl6_49
| ~ spl6_94 ),
inference(avatar_split_clause,[],[f1045,f1011,f539,f7678]) ).
fof(f7678,plain,
( spl6_389
<=> ! [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_389])]) ).
fof(f539,plain,
( spl6_49
<=> ! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_49])]) ).
fof(f1045,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_49
| ~ spl6_94 ),
inference(resolution,[],[f1012,f540]) ).
fof(f540,plain,
( ! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_49 ),
inference(avatar_component_clause,[],[f539]) ).
fof(f7676,plain,
( spl6_388
| ~ spl6_48
| ~ spl6_94 ),
inference(avatar_split_clause,[],[f1044,f1011,f535,f7674]) ).
fof(f7674,plain,
( spl6_388
<=> ! [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_388])]) ).
fof(f535,plain,
( spl6_48
<=> ! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_48])]) ).
fof(f1044,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_48
| ~ spl6_94 ),
inference(resolution,[],[f1012,f536]) ).
fof(f536,plain,
( ! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_48 ),
inference(avatar_component_clause,[],[f535]) ).
fof(f7672,plain,
( spl6_387
| ~ spl6_49
| ~ spl6_93 ),
inference(avatar_split_clause,[],[f1031,f1007,f539,f7670]) ).
fof(f7670,plain,
( spl6_387
<=> ! [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_387])]) ).
fof(f1031,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_49
| ~ spl6_93 ),
inference(resolution,[],[f1008,f540]) ).
fof(f7668,plain,
( spl6_386
| ~ spl6_48
| ~ spl6_93 ),
inference(avatar_split_clause,[],[f1030,f1007,f535,f7666]) ).
fof(f7666,plain,
( spl6_386
<=> ! [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_386])]) ).
fof(f1030,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_48
| ~ spl6_93 ),
inference(resolution,[],[f1008,f536]) ).
fof(f7664,plain,
( spl6_385
| ~ spl6_53
| ~ spl6_85 ),
inference(avatar_split_clause,[],[f959,f917,f575,f7662]) ).
fof(f7662,plain,
( spl6_385
<=> ! [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_385])]) ).
fof(f959,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_53
| ~ spl6_85 ),
inference(resolution,[],[f918,f576]) ).
fof(f7660,plain,
( spl6_384
| ~ spl6_52
| ~ spl6_85 ),
inference(avatar_split_clause,[],[f958,f917,f571,f7658]) ).
fof(f7658,plain,
( spl6_384
<=> ! [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_384])]) ).
fof(f958,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_52
| ~ spl6_85 ),
inference(resolution,[],[f918,f572]) ).
fof(f7656,plain,
( spl6_383
| ~ spl6_53
| ~ spl6_84 ),
inference(avatar_split_clause,[],[f945,f913,f575,f7654]) ).
fof(f7654,plain,
( spl6_383
<=> ! [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_383])]) ).
fof(f945,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_53
| ~ spl6_84 ),
inference(resolution,[],[f914,f576]) ).
fof(f7652,plain,
( spl6_382
| ~ spl6_52
| ~ spl6_84 ),
inference(avatar_split_clause,[],[f944,f913,f571,f7650]) ).
fof(f7650,plain,
( spl6_382
<=> ! [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_382])]) ).
fof(f944,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_52
| ~ spl6_84 ),
inference(resolution,[],[f914,f572]) ).
fof(f7645,plain,
( ~ spl6_341
| spl6_253
| ~ spl6_278 ),
inference(avatar_split_clause,[],[f4460,f4454,f3615,f6553]) ).
fof(f6553,plain,
( spl6_341
<=> sdtlseqdt0(xp,sdtasdt0(xk,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_341])]) ).
fof(f3615,plain,
( spl6_253
<=> sdtlseqdt0(xp,sdtasdt0(xm,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_253])]) ).
fof(f4460,plain,
( ~ sdtlseqdt0(xp,sdtasdt0(xk,xp))
| spl6_253
| ~ spl6_278 ),
inference(superposition,[],[f3617,f4456]) ).
fof(f3617,plain,
( ~ sdtlseqdt0(xp,sdtasdt0(xm,xn))
| spl6_253 ),
inference(avatar_component_clause,[],[f3615]) ).
fof(f7617,plain,
( spl6_381
| ~ spl6_63
| ~ spl6_88 ),
inference(avatar_split_clause,[],[f984,f931,f680,f7615]) ).
fof(f7615,plain,
( spl6_381
<=> ! [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_381])]) ).
fof(f984,plain,
( ! [X0] :
( sdtasdt0(sK3(X0),sdtsldt0(X0,sK3(X0))) = X0
| sz00 = sK3(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(X0))
| sz10 = X0
| sz00 = X0 )
| ~ spl6_63
| ~ spl6_88 ),
inference(duplicate_literal_removal,[],[f983]) ).
fof(f983,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_63
| ~ spl6_88 ),
inference(resolution,[],[f932,f681]) ).
fof(f7613,plain,
( spl6_380
| ~ spl6_67
| ~ spl6_86 ),
inference(avatar_split_clause,[],[f966,f923,f698,f7611]) ).
fof(f7611,plain,
( spl6_380
<=> ! [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_380])]) ).
fof(f698,plain,
( spl6_67
<=> ! [X2,X0] :
( X0 = X2
| sz10 = X2
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(X2)
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_67])]) ).
fof(f966,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_67
| ~ spl6_86 ),
inference(duplicate_literal_removal,[],[f965]) ).
fof(f965,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_67
| ~ spl6_86 ),
inference(resolution,[],[f924,f699]) ).
fof(f699,plain,
( ! [X2,X0] :
( ~ doDivides0(X2,X0)
| sz10 = X2
| X0 = X2
| ~ aNaturalNumber0(X2)
| ~ sP0(X0) )
| ~ spl6_67 ),
inference(avatar_component_clause,[],[f698]) ).
fof(f7459,plain,
( spl6_379
| ~ spl6_49
| ~ spl6_85 ),
inference(avatar_split_clause,[],[f951,f917,f539,f7457]) ).
fof(f7457,plain,
( spl6_379
<=> ! [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_379])]) ).
fof(f951,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_49
| ~ spl6_85 ),
inference(resolution,[],[f918,f540]) ).
fof(f7455,plain,
( spl6_378
| ~ spl6_45
| ~ spl6_160 ),
inference(avatar_split_clause,[],[f3985,f2128,f485,f7452]) ).
fof(f7452,plain,
( spl6_378
<=> xk = sdtasdt0(sz10,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_378])]) ).
fof(f3985,plain,
( xk = sdtasdt0(sz10,xk)
| ~ spl6_45
| ~ spl6_160 ),
inference(resolution,[],[f2129,f486]) ).
fof(f7450,plain,
( spl6_377
| ~ spl6_48
| ~ spl6_85 ),
inference(avatar_split_clause,[],[f950,f917,f535,f7448]) ).
fof(f7448,plain,
( spl6_377
<=> ! [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_377])]) ).
fof(f950,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_48
| ~ spl6_85 ),
inference(resolution,[],[f918,f536]) ).
fof(f7446,plain,
( spl6_376
| ~ spl6_49
| ~ spl6_84 ),
inference(avatar_split_clause,[],[f937,f913,f539,f7444]) ).
fof(f7444,plain,
( spl6_376
<=> ! [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_376])]) ).
fof(f937,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_49
| ~ spl6_84 ),
inference(resolution,[],[f914,f540]) ).
fof(f7442,plain,
( spl6_375
| ~ spl6_48
| ~ spl6_84 ),
inference(avatar_split_clause,[],[f936,f913,f535,f7440]) ).
fof(f7440,plain,
( spl6_375
<=> ! [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_375])]) ).
fof(f936,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_48
| ~ spl6_84 ),
inference(resolution,[],[f914,f536]) ).
fof(f7438,plain,
( spl6_374
| ~ spl6_56
| ~ spl6_77 ),
inference(avatar_split_clause,[],[f853,f797,f589,f7436]) ).
fof(f7436,plain,
( spl6_374
<=> ! [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_374])]) ).
fof(f853,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_56
| ~ spl6_77 ),
inference(resolution,[],[f798,f590]) ).
fof(f7434,plain,
( spl6_373
| ~ spl6_55
| ~ spl6_77 ),
inference(avatar_split_clause,[],[f852,f797,f585,f7432]) ).
fof(f7432,plain,
( spl6_373
<=> ! [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_373])]) ).
fof(f852,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_55
| ~ spl6_77 ),
inference(resolution,[],[f798,f586]) ).
fof(f7286,plain,
( spl6_372
| ~ spl6_42
| ~ spl6_160 ),
inference(avatar_split_clause,[],[f3983,f2128,f472,f7283]) ).
fof(f7283,plain,
( spl6_372
<=> xk = sdtpldt0(sz00,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_372])]) ).
fof(f3983,plain,
( xk = sdtpldt0(sz00,xk)
| ~ spl6_42
| ~ spl6_160 ),
inference(resolution,[],[f2129,f473]) ).
fof(f7281,plain,
( spl6_371
| ~ spl6_71
| ~ spl6_88 ),
inference(avatar_split_clause,[],[f986,f931,f716,f7279]) ).
fof(f7279,plain,
( spl6_371
<=> ! [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_371])]) ).
fof(f986,plain,
( ! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X0,sdtsldt0(sdtasdt0(X0,X1),X0))
| sz00 = X0
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl6_71
| ~ spl6_88 ),
inference(duplicate_literal_removal,[],[f974]) ).
fof(f974,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_71
| ~ spl6_88 ),
inference(resolution,[],[f932,f717]) ).
fof(f7277,plain,
( spl6_370
| ~ spl6_60
| ~ spl6_79 ),
inference(avatar_split_clause,[],[f879,f860,f668,f7275]) ).
fof(f7275,plain,
( spl6_370
<=> ! [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_370])]) ).
fof(f879,plain,
( ! [X0,X1] :
( doDivides0(X0,X1)
| ~ doDivides0(X0,sK2(X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sK2(X1))
| ~ aNaturalNumber0(X0)
| sP0(X1)
| sz10 = X1
| sz00 = X1 )
| ~ spl6_60
| ~ spl6_79 ),
inference(resolution,[],[f861,f669]) ).
fof(f7273,plain,
( spl6_369
| ~ spl6_64
| ~ spl6_76 ),
inference(avatar_split_clause,[],[f839,f793,f684,f7271]) ).
fof(f7271,plain,
( spl6_369
<=> ! [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_369])]) ).
fof(f839,plain,
( ! [X0,X1] :
( sdtasdt0(X0,X1) = sdtpldt0(X0,sdtmndt0(sdtasdt0(X0,X1),X0))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| sz00 = X1
| ~ aNaturalNumber0(X1) )
| ~ spl6_64
| ~ spl6_76 ),
inference(duplicate_literal_removal,[],[f833]) ).
fof(f833,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_64
| ~ spl6_76 ),
inference(resolution,[],[f794,f685]) ).
fof(f7269,plain,
( spl6_368
| ~ spl6_64
| ~ spl6_75 ),
inference(avatar_split_clause,[],[f822,f789,f684,f7267]) ).
fof(f7267,plain,
( spl6_368
<=> ! [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_368])]) ).
fof(f822,plain,
( ! [X0,X1] :
( sdtasdt0(X0,X1) = sdtpldt0(X0,sK5(X0,sdtasdt0(X0,X1)))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| sz00 = X1
| ~ aNaturalNumber0(X1) )
| ~ spl6_64
| ~ spl6_75 ),
inference(duplicate_literal_removal,[],[f816]) ).
fof(f816,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_64
| ~ spl6_75 ),
inference(resolution,[],[f790,f685]) ).
fof(f7215,plain,
( spl6_367
| ~ spl6_9
| ~ spl6_40
| ~ spl6_303
| ~ spl6_339
| ~ spl6_364
| ~ spl6_365
| ~ spl6_366 ),
inference(avatar_split_clause,[],[f7211,f7208,f7172,f7168,f6515,f5146,f464,f308,f7213]) ).
fof(f7213,plain,
( spl6_367
<=> ! [X0] :
( xk = X0
| sdtasdt0(sK2(X0),sK4(sK2(X0),X0)) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(X0))
| sP0(X0)
| sz10 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_367])]) ).
fof(f6515,plain,
( spl6_339
<=> xk = sdtsldt0(sz00,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_339])]) ).
fof(f7208,plain,
( spl6_366
<=> ! [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_366])]) ).
fof(f7211,plain,
( ! [X0] :
( xk = X0
| sdtasdt0(sK2(X0),sK4(sK2(X0),X0)) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(X0))
| sP0(X0)
| sz10 = X0 )
| ~ spl6_9
| ~ spl6_40
| ~ spl6_303
| ~ spl6_339
| ~ spl6_364
| ~ spl6_365
| ~ spl6_366 ),
inference(forward_demodulation,[],[f7209,f7195]) ).
fof(f7195,plain,
( sz00 = xk
| ~ spl6_9
| ~ spl6_40
| ~ spl6_303
| ~ spl6_339
| ~ spl6_364
| ~ spl6_365 ),
inference(forward_demodulation,[],[f7194,f6517]) ).
fof(f6517,plain,
( xk = sdtsldt0(sz00,xp)
| ~ spl6_339 ),
inference(avatar_component_clause,[],[f6515]) ).
fof(f7209,plain,
( ! [X0] :
( ~ aNaturalNumber0(sK2(X0))
| ~ aNaturalNumber0(X0)
| sdtasdt0(sK2(X0),sK4(sK2(X0),X0)) = X0
| sP0(X0)
| sz10 = X0
| sz00 = X0 )
| ~ spl6_366 ),
inference(avatar_component_clause,[],[f7208]) ).
fof(f7210,plain,
( spl6_366
| ~ spl6_60
| ~ spl6_74 ),
inference(avatar_split_clause,[],[f807,f785,f668,f7208]) ).
fof(f807,plain,
( ! [X0] :
( sdtasdt0(sK2(X0),sK4(sK2(X0),X0)) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(X0))
| sP0(X0)
| sz10 = X0
| sz00 = X0 )
| ~ spl6_60
| ~ spl6_74 ),
inference(resolution,[],[f786,f669]) ).
fof(f7175,plain,
( spl6_365
| ~ spl6_40
| ~ spl6_160 ),
inference(avatar_split_clause,[],[f3981,f2128,f464,f7172]) ).
fof(f3981,plain,
( sz00 = sdtasdt0(sz00,xk)
| ~ spl6_40
| ~ spl6_160 ),
inference(resolution,[],[f2129,f465]) ).
fof(f7170,plain,
( spl6_364
| ~ spl6_278
| ~ spl6_363 ),
inference(avatar_split_clause,[],[f7166,f7163,f4454,f7168]) ).
fof(f7163,plain,
( spl6_363
<=> ! [X0] :
( sdtasdt0(X0,xk) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xm,xn)),xp)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_363])]) ).
fof(f7166,plain,
( ! [X0] :
( sdtasdt0(X0,xk) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xk,xp)),xp)
| ~ aNaturalNumber0(X0) )
| ~ spl6_278
| ~ spl6_363 ),
inference(forward_demodulation,[],[f7164,f4456]) ).
fof(f7164,plain,
( ! [X0] :
( sdtasdt0(X0,xk) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xm,xn)),xp)
| ~ aNaturalNumber0(X0) )
| ~ spl6_363 ),
inference(avatar_component_clause,[],[f7163]) ).
fof(f7165,plain,
( ~ spl6_8
| spl6_256
| spl6_363
| ~ spl6_252
| ~ spl6_7
| ~ spl6_28
| ~ spl6_37
| ~ spl6_100
| ~ spl6_144 ),
inference(avatar_split_clause,[],[f3970,f1836,f1096,f450,f408,f298,f3609,f7163,f3734,f303]) ).
fof(f450,plain,
( spl6_37
<=> xk = sdtsldt0(sdtasdt0(xn,xm),xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_37])]) ).
fof(f3970,plain,
( ! [X0] :
( ~ aNaturalNumber0(sdtasdt0(xm,xn))
| sdtasdt0(X0,xk) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xm,xn)),xp)
| ~ aNaturalNumber0(X0)
| sz00 = xp
| ~ aNaturalNumber0(xp) )
| ~ spl6_7
| ~ spl6_28
| ~ spl6_37
| ~ spl6_100
| ~ spl6_144 ),
inference(forward_demodulation,[],[f3969,f1918]) ).
fof(f3969,plain,
( ! [X0] :
( sdtasdt0(X0,xk) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xm,xn)),xp)
| ~ aNaturalNumber0(X0)
| sz00 = xp
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xp) )
| ~ spl6_7
| ~ spl6_28
| ~ spl6_37
| ~ spl6_100
| ~ spl6_144 ),
inference(forward_demodulation,[],[f1116,f1918]) ).
fof(f1116,plain,
( ! [X0] :
( sdtsldt0(sdtasdt0(X0,sdtasdt0(xn,xm)),xp) = sdtasdt0(X0,xk)
| ~ aNaturalNumber0(X0)
| sz00 = xp
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xp) )
| ~ spl6_28
| ~ spl6_37
| ~ spl6_100 ),
inference(forward_demodulation,[],[f1105,f452]) ).
fof(f452,plain,
( xk = sdtsldt0(sdtasdt0(xn,xm),xp)
| ~ spl6_37 ),
inference(avatar_component_clause,[],[f450]) ).
fof(f1105,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xm),xp)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xn,xm)),xp)
| sz00 = xp
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xp) )
| ~ spl6_28
| ~ spl6_100 ),
inference(resolution,[],[f1097,f410]) ).
fof(f6985,plain,
( spl6_362
| ~ spl6_64
| ~ spl6_81 ),
inference(avatar_split_clause,[],[f894,f869,f684,f6983]) ).
fof(f6983,plain,
( spl6_362
<=> ! [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_362])]) ).
fof(f894,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_64
| ~ spl6_81 ),
inference(duplicate_literal_removal,[],[f888]) ).
fof(f888,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_64
| ~ spl6_81 ),
inference(resolution,[],[f870,f685]) ).
fof(f6981,plain,
( spl6_361
| ~ spl6_64
| ~ spl6_70 ),
inference(avatar_split_clause,[],[f766,f712,f684,f6979]) ).
fof(f6979,plain,
( spl6_361
<=> ! [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_361])]) ).
fof(f766,plain,
( ! [X0,X1] :
( sdtasdt0(X0,X1) = X0
| ~ sdtlseqdt0(sdtasdt0(X0,X1),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| sz00 = X1
| ~ aNaturalNumber0(X1) )
| ~ spl6_64
| ~ spl6_70 ),
inference(duplicate_literal_removal,[],[f760]) ).
fof(f760,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_64
| ~ spl6_70 ),
inference(resolution,[],[f713,f685]) ).
fof(f6977,plain,
( spl6_360
| ~ spl6_64
| ~ spl6_68 ),
inference(avatar_split_clause,[],[f741,f702,f684,f6975]) ).
fof(f6975,plain,
( spl6_360
<=> ! [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_360])]) ).
fof(f741,plain,
( ! [X0,X1] :
( iLess0(X0,sdtasdt0(X0,X1))
| sdtasdt0(X0,X1) = X0
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| sz00 = X1
| ~ aNaturalNumber0(X1) )
| ~ spl6_64
| ~ spl6_68 ),
inference(duplicate_literal_removal,[],[f735]) ).
fof(f735,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_64
| ~ spl6_68 ),
inference(resolution,[],[f703,f685]) ).
fof(f6973,plain,
( spl6_359
| ~ spl6_63
| ~ spl6_67 ),
inference(avatar_split_clause,[],[f730,f698,f680,f6971]) ).
fof(f6971,plain,
( spl6_359
<=> ! [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_359])]) ).
fof(f730,plain,
( ! [X0] :
( sz10 = sK3(X0)
| sK3(X0) = X0
| ~ aNaturalNumber0(sK3(X0))
| ~ sP0(X0)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl6_63
| ~ spl6_67 ),
inference(resolution,[],[f699,f681]) ).
fof(f6969,plain,
( spl6_358
| ~ spl6_45
| ~ spl6_151
| ~ spl6_160 ),
inference(avatar_split_clause,[],[f3797,f2128,f1988,f485,f6966]) ).
fof(f6693,plain,
( spl6_357
| ~ spl6_63
| ~ spl6_79 ),
inference(avatar_split_clause,[],[f881,f860,f680,f6691]) ).
fof(f6691,plain,
( spl6_357
<=> ! [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_357])]) ).
fof(f881,plain,
( ! [X0,X1] :
( doDivides0(X0,X1)
| ~ doDivides0(X0,sK3(X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sK3(X1))
| ~ aNaturalNumber0(X0)
| sz10 = X1
| sz00 = X1 )
| ~ spl6_63
| ~ spl6_79 ),
inference(duplicate_literal_removal,[],[f880]) ).
fof(f880,plain,
( ! [X0,X1] :
( doDivides0(X0,X1)
| ~ doDivides0(X0,sK3(X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sK3(X1))
| ~ aNaturalNumber0(X0)
| sz10 = X1
| sz00 = X1
| ~ aNaturalNumber0(X1) )
| ~ spl6_63
| ~ spl6_79 ),
inference(resolution,[],[f861,f681]) ).
fof(f6689,plain,
( spl6_356
| ~ spl6_40
| ~ spl6_150
| ~ spl6_160 ),
inference(avatar_split_clause,[],[f3796,f2128,f1984,f464,f6686]) ).
fof(f6686,plain,
( spl6_356
<=> sz00 = sdtasdt0(xk,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_356])]) ).
fof(f6684,plain,
( spl6_355
| ~ spl6_63
| ~ spl6_74 ),
inference(avatar_split_clause,[],[f809,f785,f680,f6682]) ).
fof(f6682,plain,
( spl6_355
<=> ! [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_355])]) ).
fof(f809,plain,
( ! [X0] :
( sdtasdt0(sK3(X0),sK4(sK3(X0),X0)) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(X0))
| sz10 = X0
| sz00 = X0 )
| ~ spl6_63
| ~ spl6_74 ),
inference(duplicate_literal_removal,[],[f808]) ).
fof(f808,plain,
( ! [X0] :
( sdtasdt0(sK3(X0),sK4(sK3(X0),X0)) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(X0))
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl6_63
| ~ spl6_74 ),
inference(resolution,[],[f786,f681]) ).
fof(f6680,plain,
( spl6_354
| ~ spl6_67
| ~ spl6_71 ),
inference(avatar_split_clause,[],[f773,f716,f698,f6678]) ).
fof(f6678,plain,
( spl6_354
<=> ! [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_354])]) ).
fof(f773,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X1,X0))
| ~ aNaturalNumber0(X1)
| sz10 = X1
| sdtasdt0(X1,X0) = X1
| ~ sP0(sdtasdt0(X1,X0)) )
| ~ spl6_67
| ~ spl6_71 ),
inference(duplicate_literal_removal,[],[f772]) ).
fof(f772,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X1,X0))
| ~ aNaturalNumber0(X1)
| sz10 = X1
| sdtasdt0(X1,X0) = X1
| ~ aNaturalNumber0(X1)
| ~ sP0(sdtasdt0(X1,X0)) )
| ~ spl6_67
| ~ spl6_71 ),
inference(resolution,[],[f717,f699]) ).
fof(f6676,plain,
( spl6_353
| ~ spl6_56
| ~ spl6_59 ),
inference(avatar_split_clause,[],[f666,f601,f589,f6674]) ).
fof(f6674,plain,
( spl6_353
<=> ! [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_353])]) ).
fof(f666,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X2,sdtmndt0(X1,X0)) = sdtasdt0(sdtmndt0(X1,X0),X2)
| ~ aNaturalNumber0(X2) )
| ~ spl6_56
| ~ spl6_59 ),
inference(resolution,[],[f602,f590]) ).
fof(f6672,plain,
( spl6_352
| ~ spl6_55
| ~ spl6_59 ),
inference(avatar_split_clause,[],[f665,f601,f585,f6670]) ).
fof(f6670,plain,
( spl6_352
<=> ! [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_352])]) ).
fof(f665,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X2,sdtmndt0(X1,X0)) = sdtpldt0(sdtmndt0(X1,X0),X2)
| ~ aNaturalNumber0(X2) )
| ~ spl6_55
| ~ spl6_59 ),
inference(resolution,[],[f602,f586]) ).
fof(f6668,plain,
( spl6_351
| ~ spl6_56
| ~ spl6_58 ),
inference(avatar_split_clause,[],[f657,f597,f589,f6666]) ).
fof(f6666,plain,
( spl6_351
<=> ! [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_351])]) ).
fof(f657,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X2,sK5(X0,X1)) = sdtasdt0(sK5(X0,X1),X2)
| ~ aNaturalNumber0(X2) )
| ~ spl6_56
| ~ spl6_58 ),
inference(resolution,[],[f598,f590]) ).
fof(f6664,plain,
( spl6_350
| ~ spl6_55
| ~ spl6_58 ),
inference(avatar_split_clause,[],[f656,f597,f585,f6662]) ).
fof(f6662,plain,
( spl6_350
<=> ! [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_350])]) ).
fof(f656,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X2,sK5(X0,X1)) = sdtpldt0(sK5(X0,X1),X2)
| ~ aNaturalNumber0(X2) )
| ~ spl6_55
| ~ spl6_58 ),
inference(resolution,[],[f598,f586]) ).
fof(f6660,plain,
( spl6_349
| ~ spl6_56
| ~ spl6_57 ),
inference(avatar_split_clause,[],[f648,f593,f589,f6658]) ).
fof(f6658,plain,
( spl6_349
<=> ! [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_349])]) ).
fof(f648,plain,
( ! [X2,X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X2,sK4(X0,X1)) = sdtasdt0(sK4(X0,X1),X2)
| ~ aNaturalNumber0(X2) )
| ~ spl6_56
| ~ spl6_57 ),
inference(resolution,[],[f594,f590]) ).
fof(f6656,plain,
( spl6_348
| ~ spl6_55
| ~ spl6_57 ),
inference(avatar_split_clause,[],[f647,f593,f585,f6654]) ).
fof(f6654,plain,
( spl6_348
<=> ! [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_348])]) ).
fof(f647,plain,
( ! [X2,X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X2,sK4(X0,X1)) = sdtpldt0(sK4(X0,X1),X2)
| ~ aNaturalNumber0(X2) )
| ~ spl6_55
| ~ spl6_57 ),
inference(resolution,[],[f594,f586]) ).
fof(f6636,plain,
( ~ spl6_4
| spl6_204
| ~ spl6_303
| spl6_347
| ~ spl6_7
| ~ spl6_29
| ~ spl6_88
| ~ spl6_144
| ~ spl6_278 ),
inference(avatar_split_clause,[],[f4540,f4454,f1836,f931,f413,f298,f6633,f5146,f2703,f283]) ).
fof(f6633,plain,
( spl6_347
<=> sdtasdt0(xk,xp) = sdtasdt0(xr,sdtsldt0(sdtasdt0(xk,xp),xr)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_347])]) ).
fof(f4540,plain,
( sdtasdt0(xk,xp) = sdtasdt0(xr,sdtsldt0(sdtasdt0(xk,xp),xr))
| ~ aNaturalNumber0(sdtasdt0(xk,xp))
| sz00 = xr
| ~ aNaturalNumber0(xr)
| ~ spl6_7
| ~ spl6_29
| ~ spl6_88
| ~ spl6_144
| ~ spl6_278 ),
inference(forward_demodulation,[],[f4539,f4456]) ).
fof(f4539,plain,
( ~ aNaturalNumber0(sdtasdt0(xk,xp))
| sdtasdt0(xm,xn) = sdtasdt0(xr,sdtsldt0(sdtasdt0(xm,xn),xr))
| sz00 = xr
| ~ aNaturalNumber0(xr)
| ~ spl6_7
| ~ spl6_29
| ~ spl6_88
| ~ spl6_144
| ~ spl6_278 ),
inference(forward_demodulation,[],[f2752,f4456]) ).
fof(f2752,plain,
( ~ aNaturalNumber0(sdtasdt0(xm,xn))
| sdtasdt0(xm,xn) = sdtasdt0(xr,sdtsldt0(sdtasdt0(xm,xn),xr))
| sz00 = xr
| ~ aNaturalNumber0(xr)
| ~ spl6_7
| ~ spl6_29
| ~ spl6_88
| ~ spl6_144 ),
inference(forward_demodulation,[],[f2751,f1918]) ).
fof(f2751,plain,
( sdtasdt0(xm,xn) = sdtasdt0(xr,sdtsldt0(sdtasdt0(xm,xn),xr))
| sz00 = xr
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xr)
| ~ spl6_7
| ~ spl6_29
| ~ spl6_88
| ~ spl6_144 ),
inference(forward_demodulation,[],[f981,f1918]) ).
fof(f981,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xr,sdtsldt0(sdtasdt0(xn,xm),xr))
| sz00 = xr
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xr)
| ~ spl6_29
| ~ spl6_88 ),
inference(resolution,[],[f932,f415]) ).
fof(f6631,plain,
( spl6_346
| ~ spl6_42
| ~ spl6_148
| ~ spl6_160 ),
inference(avatar_split_clause,[],[f3795,f2128,f1976,f472,f6628]) ).
fof(f6628,plain,
( spl6_346
<=> xk = sdtpldt0(xk,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_346])]) ).
fof(f3795,plain,
( xk = sdtpldt0(xk,sz00)
| ~ spl6_42
| ~ spl6_148
| ~ spl6_160 ),
inference(forward_demodulation,[],[f3759,f3742]) ).
fof(f3742,plain,
( xk = sdtpldt0(sz00,xk)
| ~ spl6_42
| ~ spl6_160 ),
inference(resolution,[],[f2129,f473]) ).
fof(f3759,plain,
( sdtpldt0(xk,sz00) = sdtpldt0(sz00,xk)
| ~ spl6_148
| ~ spl6_160 ),
inference(resolution,[],[f2129,f1977]) ).
fof(f6599,plain,
( ~ spl6_4
| ~ spl6_160
| spl6_204
| spl6_345
| ~ spl6_16
| ~ spl6_100 ),
inference(avatar_split_clause,[],[f1109,f1096,f343,f6597,f2703,f2128,f283]) ).
fof(f343,plain,
( spl6_16
<=> doDivides0(xr,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_16])]) ).
fof(f1109,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(xk,xr)) = sdtsldt0(sdtasdt0(X0,xk),xr)
| sz00 = xr
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xr) )
| ~ spl6_16
| ~ spl6_100 ),
inference(resolution,[],[f1097,f345]) ).
fof(f345,plain,
( doDivides0(xr,xk)
| ~ spl6_16 ),
inference(avatar_component_clause,[],[f343]) ).
fof(f6570,plain,
( ~ spl6_4
| ~ spl6_6
| spl6_204
| spl6_344
| ~ spl6_15
| ~ spl6_100 ),
inference(avatar_split_clause,[],[f1108,f1096,f338,f6568,f2703,f293,f283]) ).
fof(f1108,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(xn,xr)) = sdtsldt0(sdtasdt0(X0,xn),xr)
| sz00 = xr
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xr) )
| ~ spl6_15
| ~ spl6_100 ),
inference(resolution,[],[f1097,f340]) ).
fof(f340,plain,
( doDivides0(xr,xn)
| ~ spl6_15 ),
inference(avatar_component_clause,[],[f338]) ).
fof(f6565,plain,
( ~ spl6_8
| ~ spl6_342
| spl6_343
| ~ spl6_38
| ~ spl6_79 ),
inference(avatar_split_clause,[],[f874,f860,f455,f6563,f6559,f303]) ).
fof(f6563,plain,
( spl6_343
<=> ! [X0] :
( doDivides0(X0,sdtasdt0(sdtsldt0(xn,xr),xm))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_343])]) ).
fof(f455,plain,
( spl6_38
<=> doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_38])]) ).
fof(f874,plain,
( ! [X0] :
( doDivides0(X0,sdtasdt0(sdtsldt0(xn,xr),xm))
| ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),xm))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) )
| ~ spl6_38
| ~ spl6_79 ),
inference(resolution,[],[f861,f457]) ).
fof(f457,plain,
( doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm))
| ~ spl6_38 ),
inference(avatar_component_clause,[],[f455]) ).
fof(f6556,plain,
( spl6_341
| ~ spl6_7
| ~ spl6_144
| ~ spl6_250
| ~ spl6_278 ),
inference(avatar_split_clause,[],[f6522,f4454,f3598,f1836,f298,f6553]) ).
fof(f3598,plain,
( spl6_250
<=> sdtlseqdt0(xp,sdtasdt0(xn,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_250])]) ).
fof(f6522,plain,
( sdtlseqdt0(xp,sdtasdt0(xk,xp))
| ~ spl6_7
| ~ spl6_144
| ~ spl6_250
| ~ spl6_278 ),
inference(forward_demodulation,[],[f6521,f4456]) ).
fof(f6521,plain,
( sdtlseqdt0(xp,sdtasdt0(xm,xn))
| ~ spl6_7
| ~ spl6_144
| ~ spl6_250 ),
inference(forward_demodulation,[],[f3600,f1918]) ).
fof(f3600,plain,
( sdtlseqdt0(xp,sdtasdt0(xn,xm))
| ~ spl6_250 ),
inference(avatar_component_clause,[],[f3598]) ).
fof(f6527,plain,
( spl6_340
| ~ spl6_7
| ~ spl6_144
| ~ spl6_254
| ~ spl6_278 ),
inference(avatar_split_clause,[],[f6520,f4454,f3625,f1836,f298,f6524]) ).
fof(f3625,plain,
( spl6_254
<=> sdtlseqdt0(xr,sdtasdt0(xn,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_254])]) ).
fof(f6520,plain,
( sdtlseqdt0(xr,sdtasdt0(xk,xp))
| ~ spl6_7
| ~ spl6_144
| ~ spl6_254
| ~ spl6_278 ),
inference(forward_demodulation,[],[f6519,f4456]) ).
fof(f6519,plain,
( sdtlseqdt0(xr,sdtasdt0(xm,xn))
| ~ spl6_7
| ~ spl6_144
| ~ spl6_254 ),
inference(forward_demodulation,[],[f3627,f1918]) ).
fof(f3627,plain,
( sdtlseqdt0(xr,sdtasdt0(xn,xm))
| ~ spl6_254 ),
inference(avatar_component_clause,[],[f3625]) ).
fof(f6518,plain,
( spl6_339
| ~ spl6_37
| ~ spl6_251 ),
inference(avatar_split_clause,[],[f3711,f3602,f450,f6515]) ).
fof(f3711,plain,
( xk = sdtsldt0(sz00,xp)
| ~ spl6_37
| ~ spl6_251 ),
inference(superposition,[],[f452,f3604]) ).
fof(f3604,plain,
( sz00 = sdtasdt0(xn,xm)
| ~ spl6_251 ),
inference(avatar_component_clause,[],[f3602]) ).
fof(f6169,plain,
( spl6_338
| ~ spl6_45
| ~ spl6_77 ),
inference(avatar_split_clause,[],[f851,f797,f485,f6167]) ).
fof(f6167,plain,
( spl6_338
<=> ! [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_338])]) ).
fof(f851,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtsldt0(X1,X0) = sdtasdt0(sz10,sdtsldt0(X1,X0)) )
| ~ spl6_45
| ~ spl6_77 ),
inference(resolution,[],[f798,f486]) ).
fof(f6165,plain,
( spl6_337
| ~ spl6_44
| ~ spl6_77 ),
inference(avatar_split_clause,[],[f850,f797,f481,f6163]) ).
fof(f6163,plain,
( spl6_337
<=> ! [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_337])]) ).
fof(f850,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtsldt0(X1,X0) = sdtasdt0(sdtsldt0(X1,X0),sz10) )
| ~ spl6_44
| ~ spl6_77 ),
inference(resolution,[],[f798,f482]) ).
fof(f6161,plain,
( spl6_336
| ~ spl6_42
| ~ spl6_77 ),
inference(avatar_split_clause,[],[f849,f797,f472,f6159]) ).
fof(f6159,plain,
( spl6_336
<=> ! [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_336])]) ).
fof(f849,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtsldt0(X1,X0) = sdtpldt0(sz00,sdtsldt0(X1,X0)) )
| ~ spl6_42
| ~ spl6_77 ),
inference(resolution,[],[f798,f473]) ).
fof(f6157,plain,
( spl6_335
| ~ spl6_41
| ~ spl6_77 ),
inference(avatar_split_clause,[],[f848,f797,f468,f6155]) ).
fof(f6155,plain,
( spl6_335
<=> ! [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_335])]) ).
fof(f848,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtsldt0(X1,X0) = sdtpldt0(sdtsldt0(X1,X0),sz00) )
| ~ spl6_41
| ~ spl6_77 ),
inference(resolution,[],[f798,f469]) ).
fof(f6153,plain,
( spl6_334
| ~ spl6_72
| ~ spl6_76 ),
inference(avatar_split_clause,[],[f840,f793,f720,f6151]) ).
fof(f6151,plain,
( spl6_334
<=> ! [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_334])]) ).
fof(f840,plain,
( ! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X0,sdtmndt0(sdtpldt0(X0,X1),X0))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl6_72
| ~ spl6_76 ),
inference(duplicate_literal_removal,[],[f832]) ).
fof(f832,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_72
| ~ spl6_76 ),
inference(resolution,[],[f794,f721]) ).
fof(f6149,plain,
( spl6_333
| ~ spl6_72
| ~ spl6_75 ),
inference(avatar_split_clause,[],[f823,f789,f720,f6147]) ).
fof(f6147,plain,
( spl6_333
<=> ! [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_333])]) ).
fof(f823,plain,
( ! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X0,sK5(X0,sdtpldt0(X0,X1)))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl6_72
| ~ spl6_75 ),
inference(duplicate_literal_removal,[],[f815]) ).
fof(f815,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_72
| ~ spl6_75 ),
inference(resolution,[],[f790,f721]) ).
fof(f6145,plain,
( spl6_332
| ~ spl6_71
| ~ spl6_74 ),
inference(avatar_split_clause,[],[f810,f785,f716,f6143]) ).
fof(f6143,plain,
( spl6_332
<=> ! [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_332])]) ).
fof(f810,plain,
( ! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X0,sK4(X0,sdtasdt0(X0,X1)))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl6_71
| ~ spl6_74 ),
inference(duplicate_literal_removal,[],[f800]) ).
fof(f800,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_71
| ~ spl6_74 ),
inference(resolution,[],[f786,f717]) ).
fof(f6141,plain,
( spl6_331
| ~ spl6_53
| ~ spl6_56 ),
inference(avatar_split_clause,[],[f639,f589,f575,f6139]) ).
fof(f6139,plain,
( spl6_331
<=> ! [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_331])]) ).
fof(f639,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sK3(X1)) = sdtasdt0(sK3(X1),X0)
| ~ aNaturalNumber0(X0)
| sz10 = X1
| sz00 = X1
| ~ aNaturalNumber0(X1) )
| ~ spl6_53
| ~ spl6_56 ),
inference(resolution,[],[f590,f576]) ).
fof(f6137,plain,
( spl6_330
| ~ spl6_52
| ~ spl6_56 ),
inference(avatar_split_clause,[],[f638,f589,f571,f6135]) ).
fof(f6135,plain,
( spl6_330
<=> ! [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_330])]) ).
fof(f638,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sK2(X1)) = sdtasdt0(sK2(X1),X0)
| ~ aNaturalNumber0(X0)
| sP0(X1)
| sz10 = X1
| sz00 = X1 )
| ~ spl6_52
| ~ spl6_56 ),
inference(resolution,[],[f590,f572]) ).
fof(f6133,plain,
( spl6_155
| ~ spl6_329
| ~ spl6_34
| ~ spl6_259 ),
inference(avatar_split_clause,[],[f4093,f3843,f437,f6130,f2105]) ).
fof(f2105,plain,
( spl6_155
<=> sP0(xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_155])]) ).
fof(f6130,plain,
( spl6_329
<=> isPrime0(xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_329])]) ).
fof(f437,plain,
( spl6_34
<=> ! [X0] :
( sP0(X0)
| ~ isPrime0(X0)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_34])]) ).
fof(f3843,plain,
( spl6_259
<=> sP1(xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_259])]) ).
fof(f4093,plain,
( ~ isPrime0(xk)
| sP0(xk)
| ~ spl6_34
| ~ spl6_259 ),
inference(resolution,[],[f3845,f438]) ).
fof(f438,plain,
( ! [X0] :
( ~ sP1(X0)
| ~ isPrime0(X0)
| sP0(X0) )
| ~ spl6_34 ),
inference(avatar_component_clause,[],[f437]) ).
fof(f3845,plain,
( sP1(xk)
| ~ spl6_259 ),
inference(avatar_component_clause,[],[f3843]) ).
fof(f6128,plain,
( spl6_328
| ~ spl6_53
| ~ spl6_55 ),
inference(avatar_split_clause,[],[f627,f585,f575,f6126]) ).
fof(f6126,plain,
( spl6_328
<=> ! [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_328])]) ).
fof(f627,plain,
( ! [X0,X1] :
( sdtpldt0(X0,sK3(X1)) = sdtpldt0(sK3(X1),X0)
| ~ aNaturalNumber0(X0)
| sz10 = X1
| sz00 = X1
| ~ aNaturalNumber0(X1) )
| ~ spl6_53
| ~ spl6_55 ),
inference(resolution,[],[f586,f576]) ).
fof(f6124,plain,
( spl6_327
| ~ spl6_52
| ~ spl6_55 ),
inference(avatar_split_clause,[],[f626,f585,f571,f6122]) ).
fof(f6122,plain,
( spl6_327
<=> ! [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_327])]) ).
fof(f626,plain,
( ! [X0,X1] :
( sdtpldt0(X0,sK2(X1)) = sdtpldt0(sK2(X1),X0)
| ~ aNaturalNumber0(X0)
| sP0(X1)
| sz10 = X1
| sz00 = X1 )
| ~ spl6_52
| ~ spl6_55 ),
inference(resolution,[],[f586,f572]) ).
fof(f5798,plain,
( spl6_326
| ~ spl6_71
| ~ spl6_101 ),
inference(avatar_split_clause,[],[f1118,f1100,f716,f5796]) ).
fof(f5796,plain,
( spl6_326
<=> ! [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_326])]) ).
fof(f1100,plain,
( spl6_101
<=> ! [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_101])]) ).
fof(f1118,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtsldt0(sdtasdt0(X1,X0),X1) = X0
| sz00 = X1
| ~ aNaturalNumber0(sdtasdt0(X1,X0))
| ~ aNaturalNumber0(X1) )
| ~ spl6_71
| ~ spl6_101 ),
inference(duplicate_literal_removal,[],[f1117]) ).
fof(f1117,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_71
| ~ spl6_101 ),
inference(resolution,[],[f1101,f717]) ).
fof(f1101,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_101 ),
inference(avatar_component_clause,[],[f1100]) ).
fof(f5774,plain,
( ~ spl6_10
| spl6_325
| ~ spl6_51
| ~ spl6_81 ),
inference(avatar_split_clause,[],[f898,f869,f567,f5772,f313]) ).
fof(f5772,plain,
( spl6_325
<=> ! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sz00 = X1
| sz10 = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X0,sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_325])]) ).
fof(f567,plain,
( spl6_51
<=> ! [X0] :
( sdtlseqdt0(sz10,X0)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_51])]) ).
fof(f898,plain,
( ! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| sz10 = X1
| sz00 = X1 )
| ~ spl6_51
| ~ spl6_81 ),
inference(duplicate_literal_removal,[],[f884]) ).
fof(f884,plain,
( ! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| sz10 = X1
| sz00 = X1
| ~ aNaturalNumber0(X1) )
| ~ spl6_51
| ~ spl6_81 ),
inference(resolution,[],[f870,f568]) ).
fof(f568,plain,
( ! [X0] :
( sdtlseqdt0(sz10,X0)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl6_51 ),
inference(avatar_component_clause,[],[f567]) ).
fof(f5770,plain,
( spl6_324
| ~ spl6_72
| ~ spl6_81 ),
inference(avatar_split_clause,[],[f895,f869,f720,f5768]) ).
fof(f5768,plain,
( spl6_324
<=> ! [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_324])]) ).
fof(f895,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(X0,sdtpldt0(X1,X2))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2) )
| ~ spl6_72
| ~ spl6_81 ),
inference(duplicate_literal_removal,[],[f887]) ).
fof(f887,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_72
| ~ spl6_81 ),
inference(resolution,[],[f870,f721]) ).
fof(f5766,plain,
( spl6_323
| ~ spl6_71
| ~ spl6_79 ),
inference(avatar_split_clause,[],[f882,f860,f716,f5764]) ).
fof(f5764,plain,
( spl6_323
<=> ! [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_323])]) ).
fof(f882,plain,
( ! [X2,X0,X1] :
( doDivides0(X0,sdtasdt0(X1,X2))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2) )
| ~ spl6_71
| ~ spl6_79 ),
inference(duplicate_literal_removal,[],[f872]) ).
fof(f872,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_71
| ~ spl6_79 ),
inference(resolution,[],[f861,f717]) ).
fof(f5762,plain,
( spl6_322
| ~ spl6_70
| ~ spl6_72 ),
inference(avatar_split_clause,[],[f778,f720,f712,f5760]) ).
fof(f5760,plain,
( spl6_322
<=> ! [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_322])]) ).
fof(f778,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X1,X0))
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,X0) = X1
| ~ sdtlseqdt0(sdtpldt0(X1,X0),X1) )
| ~ spl6_70
| ~ spl6_72 ),
inference(duplicate_literal_removal,[],[f775]) ).
fof(f775,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_70
| ~ spl6_72 ),
inference(resolution,[],[f721,f713]) ).
fof(f5758,plain,
( spl6_321
| ~ spl6_68
| ~ spl6_72 ),
inference(avatar_split_clause,[],[f777,f720,f702,f5756]) ).
fof(f5756,plain,
( spl6_321
<=> ! [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_321])]) ).
fof(f777,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X1,X0))
| ~ aNaturalNumber0(X1)
| iLess0(X1,sdtpldt0(X1,X0))
| sdtpldt0(X1,X0) = X1 )
| ~ spl6_68
| ~ spl6_72 ),
inference(duplicate_literal_removal,[],[f776]) ).
fof(f776,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_68
| ~ spl6_72 ),
inference(resolution,[],[f721,f703]) ).
fof(f5754,plain,
( spl6_320
| ~ spl6_69
| ~ spl6_71 ),
inference(avatar_split_clause,[],[f774,f716,f708,f5752]) ).
fof(f5752,plain,
( spl6_320
<=> ! [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_320])]) ).
fof(f774,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X1,X0))
| ~ aNaturalNumber0(X1)
| sz00 = sdtasdt0(X1,X0)
| sdtlseqdt0(X1,sdtasdt0(X1,X0)) )
| ~ spl6_69
| ~ spl6_71 ),
inference(duplicate_literal_removal,[],[f771]) ).
fof(f771,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_69
| ~ spl6_71 ),
inference(resolution,[],[f717,f709]) ).
fof(f5743,plain,
( ~ spl6_318
| ~ spl6_8
| spl6_319
| spl6_199
| ~ spl6_38
| ~ spl6_67 ),
inference(avatar_split_clause,[],[f724,f698,f455,f2666,f5740,f303,f5736]) ).
fof(f5736,plain,
( spl6_318
<=> sP0(sdtasdt0(sdtsldt0(xn,xr),xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_318])]) ).
fof(f2666,plain,
( spl6_199
<=> sz10 = xp ),
introduced(avatar_definition,[new_symbols(naming,[spl6_199])]) ).
fof(f724,plain,
( sz10 = xp
| xp = sdtasdt0(sdtsldt0(xn,xr),xm)
| ~ aNaturalNumber0(xp)
| ~ sP0(sdtasdt0(sdtsldt0(xn,xr),xm))
| ~ spl6_38
| ~ spl6_67 ),
inference(resolution,[],[f699,f457]) ).
fof(f5353,plain,
( spl6_317
| ~ spl6_10
| ~ spl6_94 ),
inference(avatar_split_clause,[],[f1043,f1011,f313,f5351]) ).
fof(f5351,plain,
( spl6_317
<=> ! [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_317])]) ).
fof(f1043,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,sz10),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sz10,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl6_10
| ~ spl6_94 ),
inference(resolution,[],[f1012,f315]) ).
fof(f5349,plain,
( spl6_316
| ~ spl6_9
| ~ spl6_94 ),
inference(avatar_split_clause,[],[f1042,f1011,f308,f5347]) ).
fof(f5347,plain,
( spl6_316
<=> ! [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_316])]) ).
fof(f1042,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,sz00),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sz00,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl6_9
| ~ spl6_94 ),
inference(resolution,[],[f1012,f310]) ).
fof(f5345,plain,
( spl6_315
| ~ spl6_10
| ~ spl6_93 ),
inference(avatar_split_clause,[],[f1029,f1007,f313,f5343]) ).
fof(f5343,plain,
( spl6_315
<=> ! [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_315])]) ).
fof(f1029,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sz10)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_10
| ~ spl6_93 ),
inference(resolution,[],[f1008,f315]) ).
fof(f5341,plain,
( spl6_314
| ~ spl6_9
| ~ spl6_93 ),
inference(avatar_split_clause,[],[f1028,f1007,f308,f5339]) ).
fof(f5339,plain,
( spl6_314
<=> ! [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_314])]) ).
fof(f1028,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sz00)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz00))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_9
| ~ spl6_93 ),
inference(resolution,[],[f1008,f310]) ).
fof(f5337,plain,
( spl6_313
| ~ spl6_40
| ~ spl6_77 ),
inference(avatar_split_clause,[],[f847,f797,f464,f5335]) ).
fof(f5335,plain,
( spl6_313
<=> ! [X0,X1] :
( ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtsldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_313])]) ).
fof(f847,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtsldt0(X1,X0)) )
| ~ spl6_40
| ~ spl6_77 ),
inference(resolution,[],[f798,f465]) ).
fof(f5333,plain,
( spl6_312
| ~ spl6_39
| ~ spl6_77 ),
inference(avatar_split_clause,[],[f846,f797,f460,f5331]) ).
fof(f5331,plain,
( spl6_312
<=> ! [X0,X1] :
( ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtsldt0(X1,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_312])]) ).
fof(f846,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtsldt0(X1,X0),sz00) )
| ~ spl6_39
| ~ spl6_77 ),
inference(resolution,[],[f798,f461]) ).
fof(f5310,plain,
( ~ spl6_10
| spl6_311
| ~ spl6_51
| ~ spl6_76 ),
inference(avatar_split_clause,[],[f843,f793,f567,f5308,f313]) ).
fof(f5308,plain,
( spl6_311
<=> ! [X0] :
( sdtpldt0(sz10,sdtmndt0(X0,sz10)) = X0
| sz00 = X0
| sz10 = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_311])]) ).
fof(f843,plain,
( ! [X0] :
( sdtpldt0(sz10,sdtmndt0(X0,sz10)) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10)
| sz10 = X0
| sz00 = X0 )
| ~ spl6_51
| ~ spl6_76 ),
inference(duplicate_literal_removal,[],[f829]) ).
fof(f829,plain,
( ! [X0] :
( sdtpldt0(sz10,sdtmndt0(X0,sz10)) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl6_51
| ~ spl6_76 ),
inference(resolution,[],[f794,f568]) ).
fof(f5287,plain,
( ~ spl6_10
| spl6_310
| ~ spl6_51
| ~ spl6_75 ),
inference(avatar_split_clause,[],[f826,f789,f567,f5285,f313]) ).
fof(f5285,plain,
( spl6_310
<=> ! [X0] :
( sdtpldt0(sz10,sK5(sz10,X0)) = X0
| sz00 = X0
| sz10 = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_310])]) ).
fof(f826,plain,
( ! [X0] :
( sdtpldt0(sz10,sK5(sz10,X0)) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10)
| sz10 = X0
| sz00 = X0 )
| ~ spl6_51
| ~ spl6_75 ),
inference(duplicate_literal_removal,[],[f812]) ).
fof(f812,plain,
( ! [X0] :
( sdtpldt0(sz10,sK5(sz10,X0)) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl6_51
| ~ spl6_75 ),
inference(resolution,[],[f790,f568]) ).
fof(f5283,plain,
( spl6_309
| ~ spl6_278
| ~ spl6_289 ),
inference(avatar_split_clause,[],[f4901,f4897,f4454,f5280]) ).
fof(f5280,plain,
( spl6_309
<=> sP1(sdtasdt0(xk,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_309])]) ).
fof(f4897,plain,
( spl6_289
<=> sP1(sdtasdt0(xm,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_289])]) ).
fof(f4901,plain,
( sP1(sdtasdt0(xk,xp))
| ~ spl6_278
| ~ spl6_289 ),
inference(forward_demodulation,[],[f4899,f4456]) ).
fof(f4899,plain,
( sP1(sdtasdt0(xm,xn))
| ~ spl6_289 ),
inference(avatar_component_clause,[],[f4897]) ).
fof(f5278,plain,
( spl6_308
| ~ spl6_60
| ~ spl6_69 ),
inference(avatar_split_clause,[],[f755,f708,f668,f5276]) ).
fof(f5276,plain,
( spl6_308
<=> ! [X0] :
( sz00 = X0
| sdtlseqdt0(sK2(X0),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(X0))
| sP0(X0)
| sz10 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_308])]) ).
fof(f755,plain,
( ! [X0] :
( sz00 = X0
| sdtlseqdt0(sK2(X0),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(X0))
| sP0(X0)
| sz10 = X0 )
| ~ spl6_60
| ~ spl6_69 ),
inference(duplicate_literal_removal,[],[f752]) ).
fof(f752,plain,
( ! [X0] :
( sz00 = X0
| sdtlseqdt0(sK2(X0),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(X0))
| sP0(X0)
| sz10 = X0
| sz00 = X0 )
| ~ spl6_60
| ~ spl6_69 ),
inference(resolution,[],[f709,f669]) ).
fof(f5274,plain,
( spl6_307
| ~ spl6_49
| ~ spl6_56 ),
inference(avatar_split_clause,[],[f633,f589,f539,f5272]) ).
fof(f5272,plain,
( spl6_307
<=> ! [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_307])]) ).
fof(f633,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X1,X2),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| ~ spl6_49
| ~ spl6_56 ),
inference(resolution,[],[f590,f540]) ).
fof(f5270,plain,
( spl6_306
| ~ spl6_48
| ~ spl6_56 ),
inference(avatar_split_clause,[],[f632,f589,f535,f5268]) ).
fof(f5268,plain,
( spl6_306
<=> ! [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_306])]) ).
fof(f632,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtasdt0(sdtpldt0(X1,X2),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| ~ spl6_48
| ~ spl6_56 ),
inference(resolution,[],[f590,f536]) ).
fof(f5266,plain,
( spl6_305
| ~ spl6_49
| ~ spl6_55 ),
inference(avatar_split_clause,[],[f621,f585,f539,f5264]) ).
fof(f5264,plain,
( spl6_305
<=> ! [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_305])]) ).
fof(f621,plain,
( ! [X2,X0,X1] :
( sdtpldt0(X0,sdtasdt0(X1,X2)) = sdtpldt0(sdtasdt0(X1,X2),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| ~ spl6_49
| ~ spl6_55 ),
inference(resolution,[],[f586,f540]) ).
fof(f5262,plain,
( spl6_304
| ~ spl6_48
| ~ spl6_55 ),
inference(avatar_split_clause,[],[f620,f585,f535,f5260]) ).
fof(f5260,plain,
( spl6_304
<=> ! [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_304])]) ).
fof(f620,plain,
( ! [X2,X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X1,X2),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| ~ spl6_48
| ~ spl6_55 ),
inference(resolution,[],[f586,f536]) ).
fof(f5149,plain,
( spl6_303
| ~ spl6_252
| ~ spl6_278 ),
inference(avatar_split_clause,[],[f4459,f4454,f3609,f5146]) ).
fof(f4459,plain,
( aNaturalNumber0(sdtasdt0(xk,xp))
| ~ spl6_252
| ~ spl6_278 ),
inference(superposition,[],[f3610,f4456]) ).
fof(f5083,plain,
( spl6_302
| ~ spl6_4
| ~ spl6_94 ),
inference(avatar_split_clause,[],[f1051,f1011,f283,f5081]) ).
fof(f5081,plain,
( spl6_302
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,xr),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(xr,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_302])]) ).
fof(f1051,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,xr),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(xr,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl6_4
| ~ spl6_94 ),
inference(resolution,[],[f1012,f285]) ).
fof(f5079,plain,
( spl6_301
| ~ spl6_8
| ~ spl6_94 ),
inference(avatar_split_clause,[],[f1050,f1011,f303,f5077]) ).
fof(f5077,plain,
( spl6_301
<=> ! [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_301])]) ).
fof(f1050,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,xp),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(xp,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl6_8
| ~ spl6_94 ),
inference(resolution,[],[f1012,f305]) ).
fof(f5075,plain,
( spl6_300
| ~ spl6_7
| ~ spl6_94 ),
inference(avatar_split_clause,[],[f1049,f1011,f298,f5073]) ).
fof(f5073,plain,
( spl6_300
<=> ! [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_300])]) ).
fof(f1049,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,xm),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(xm,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl6_7
| ~ spl6_94 ),
inference(resolution,[],[f1012,f300]) ).
fof(f5071,plain,
( spl6_299
| ~ spl6_6
| ~ spl6_94 ),
inference(avatar_split_clause,[],[f1048,f1011,f293,f5069]) ).
fof(f5069,plain,
( spl6_299
<=> ! [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_299])]) ).
fof(f1048,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,xn),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(xn,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl6_6
| ~ spl6_94 ),
inference(resolution,[],[f1012,f295]) ).
fof(f5067,plain,
( spl6_298
| ~ spl6_4
| ~ spl6_93 ),
inference(avatar_split_clause,[],[f1037,f1007,f283,f5065]) ).
fof(f5065,plain,
( spl6_298
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xr)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xr))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_298])]) ).
fof(f1037,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xr)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xr))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_4
| ~ spl6_93 ),
inference(resolution,[],[f1008,f285]) ).
fof(f5063,plain,
( spl6_297
| ~ spl6_8
| ~ spl6_93 ),
inference(avatar_split_clause,[],[f1036,f1007,f303,f5061]) ).
fof(f5061,plain,
( spl6_297
<=> ! [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_297])]) ).
fof(f1036,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xp)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xp))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_8
| ~ spl6_93 ),
inference(resolution,[],[f1008,f305]) ).
fof(f5059,plain,
( spl6_296
| ~ spl6_7
| ~ spl6_93 ),
inference(avatar_split_clause,[],[f1035,f1007,f298,f5057]) ).
fof(f5057,plain,
( spl6_296
<=> ! [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_296])]) ).
fof(f1035,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xm)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xm))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_7
| ~ spl6_93 ),
inference(resolution,[],[f1008,f300]) ).
fof(f5055,plain,
( ~ spl6_295
| spl6_200
| ~ spl6_278 ),
inference(avatar_split_clause,[],[f4458,f4454,f2672,f5052]) ).
fof(f5052,plain,
( spl6_295
<=> sP0(sdtasdt0(xk,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_295])]) ).
fof(f2672,plain,
( spl6_200
<=> sP0(sdtasdt0(xm,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_200])]) ).
fof(f4458,plain,
( ~ sP0(sdtasdt0(xk,xp))
| spl6_200
| ~ spl6_278 ),
inference(superposition,[],[f2674,f4456]) ).
fof(f2674,plain,
( ~ sP0(sdtasdt0(xm,xn))
| spl6_200 ),
inference(avatar_component_clause,[],[f2672]) ).
fof(f5050,plain,
( spl6_294
| ~ spl6_6
| ~ spl6_93 ),
inference(avatar_split_clause,[],[f1034,f1007,f293,f5048]) ).
fof(f5048,plain,
( spl6_294
<=> ! [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_294])]) ).
fof(f1034,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xn)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xn))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_6
| ~ spl6_93 ),
inference(resolution,[],[f1008,f295]) ).
fof(f5032,plain,
( spl6_293
| ~ spl6_7
| ~ spl6_144
| ~ spl6_278
| ~ spl6_292 ),
inference(avatar_split_clause,[],[f5027,f5022,f4454,f1836,f298,f5029]) ).
fof(f5029,plain,
( spl6_293
<=> sdtasdt0(xk,xp) = sdtasdt0(xr,sK4(xr,sdtasdt0(xk,xp))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_293])]) ).
fof(f5022,plain,
( spl6_292
<=> sdtasdt0(xn,xm) = sdtasdt0(xr,sK4(xr,sdtasdt0(xn,xm))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_292])]) ).
fof(f5027,plain,
( sdtasdt0(xk,xp) = sdtasdt0(xr,sK4(xr,sdtasdt0(xk,xp)))
| ~ spl6_7
| ~ spl6_144
| ~ spl6_278
| ~ spl6_292 ),
inference(forward_demodulation,[],[f5026,f4456]) ).
fof(f5026,plain,
( sdtasdt0(xm,xn) = sdtasdt0(xr,sK4(xr,sdtasdt0(xm,xn)))
| ~ spl6_7
| ~ spl6_144
| ~ spl6_292 ),
inference(forward_demodulation,[],[f5024,f1918]) ).
fof(f5024,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xr,sK4(xr,sdtasdt0(xn,xm)))
| ~ spl6_292 ),
inference(avatar_component_clause,[],[f5022]) ).
fof(f5025,plain,
( ~ spl6_4
| ~ spl6_249
| spl6_292
| ~ spl6_29
| ~ spl6_74 ),
inference(avatar_split_clause,[],[f806,f785,f413,f5022,f3594,f283]) ).
fof(f3594,plain,
( spl6_249
<=> aNaturalNumber0(sdtasdt0(xn,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_249])]) ).
fof(f806,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xr,sK4(xr,sdtasdt0(xn,xm)))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xr)
| ~ spl6_29
| ~ spl6_74 ),
inference(resolution,[],[f786,f415]) ).
fof(f5006,plain,
( spl6_291
| ~ spl6_7
| ~ spl6_144
| ~ spl6_278
| ~ spl6_290 ),
inference(avatar_split_clause,[],[f5001,f4996,f4454,f1836,f298,f5003]) ).
fof(f5003,plain,
( spl6_291
<=> sdtasdt0(xk,xp) = sdtasdt0(xp,sK4(xp,sdtasdt0(xk,xp))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_291])]) ).
fof(f4996,plain,
( spl6_290
<=> sdtasdt0(xn,xm) = sdtasdt0(xp,sK4(xp,sdtasdt0(xn,xm))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_290])]) ).
fof(f5001,plain,
( sdtasdt0(xk,xp) = sdtasdt0(xp,sK4(xp,sdtasdt0(xk,xp)))
| ~ spl6_7
| ~ spl6_144
| ~ spl6_278
| ~ spl6_290 ),
inference(forward_demodulation,[],[f5000,f4456]) ).
fof(f5000,plain,
( sdtasdt0(xm,xn) = sdtasdt0(xp,sK4(xp,sdtasdt0(xm,xn)))
| ~ spl6_7
| ~ spl6_144
| ~ spl6_290 ),
inference(forward_demodulation,[],[f4998,f1918]) ).
fof(f4998,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xp,sK4(xp,sdtasdt0(xn,xm)))
| ~ spl6_290 ),
inference(avatar_component_clause,[],[f4996]) ).
fof(f4999,plain,
( ~ spl6_8
| ~ spl6_249
| spl6_290
| ~ spl6_28
| ~ spl6_74 ),
inference(avatar_split_clause,[],[f801,f785,f408,f4996,f3594,f303]) ).
fof(f801,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xp,sK4(xp,sdtasdt0(xn,xm)))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xp)
| ~ spl6_28
| ~ spl6_74 ),
inference(resolution,[],[f786,f410]) ).
fof(f4900,plain,
( spl6_289
| ~ spl6_27
| ~ spl6_252 ),
inference(avatar_split_clause,[],[f3637,f3609,f398,f4897]) ).
fof(f3637,plain,
( sP1(sdtasdt0(xm,xn))
| ~ spl6_27
| ~ spl6_252 ),
inference(resolution,[],[f3610,f399]) ).
fof(f4592,plain,
( ~ spl6_204
| spl6_203
| ~ spl6_251 ),
inference(avatar_split_clause,[],[f3709,f3602,f2686,f2703]) ).
fof(f3709,plain,
( sz00 != xr
| spl6_203
| ~ spl6_251 ),
inference(superposition,[],[f2687,f3604]) ).
fof(f4591,plain,
( spl6_288
| ~ spl6_45
| ~ spl6_59 ),
inference(avatar_split_clause,[],[f664,f601,f485,f4589]) ).
fof(f4589,plain,
( spl6_288
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtmndt0(X1,X0) = sdtasdt0(sz10,sdtmndt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_288])]) ).
fof(f664,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtmndt0(X1,X0) = sdtasdt0(sz10,sdtmndt0(X1,X0)) )
| ~ spl6_45
| ~ spl6_59 ),
inference(resolution,[],[f602,f486]) ).
fof(f4587,plain,
( spl6_287
| ~ spl6_44
| ~ spl6_59 ),
inference(avatar_split_clause,[],[f663,f601,f481,f4585]) ).
fof(f4585,plain,
( spl6_287
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtmndt0(X1,X0) = sdtasdt0(sdtmndt0(X1,X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_287])]) ).
fof(f663,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtmndt0(X1,X0) = sdtasdt0(sdtmndt0(X1,X0),sz10) )
| ~ spl6_44
| ~ spl6_59 ),
inference(resolution,[],[f602,f482]) ).
fof(f4583,plain,
( spl6_286
| ~ spl6_42
| ~ spl6_59 ),
inference(avatar_split_clause,[],[f662,f601,f472,f4581]) ).
fof(f4581,plain,
( spl6_286
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtmndt0(X1,X0) = sdtpldt0(sz00,sdtmndt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_286])]) ).
fof(f662,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtmndt0(X1,X0) = sdtpldt0(sz00,sdtmndt0(X1,X0)) )
| ~ spl6_42
| ~ spl6_59 ),
inference(resolution,[],[f602,f473]) ).
fof(f4579,plain,
( spl6_285
| ~ spl6_41
| ~ spl6_59 ),
inference(avatar_split_clause,[],[f661,f601,f468,f4577]) ).
fof(f4577,plain,
( spl6_285
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtmndt0(X1,X0) = sdtpldt0(sdtmndt0(X1,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_285])]) ).
fof(f661,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtmndt0(X1,X0) = sdtpldt0(sdtmndt0(X1,X0),sz00) )
| ~ spl6_41
| ~ spl6_59 ),
inference(resolution,[],[f602,f469]) ).
fof(f4575,plain,
( spl6_284
| ~ spl6_45
| ~ spl6_58 ),
inference(avatar_split_clause,[],[f655,f597,f485,f4573]) ).
fof(f4573,plain,
( spl6_284
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK5(X0,X1) = sdtasdt0(sz10,sK5(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_284])]) ).
fof(f655,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK5(X0,X1) = sdtasdt0(sz10,sK5(X0,X1)) )
| ~ spl6_45
| ~ spl6_58 ),
inference(resolution,[],[f598,f486]) ).
fof(f4571,plain,
( spl6_283
| ~ spl6_44
| ~ spl6_58 ),
inference(avatar_split_clause,[],[f654,f597,f481,f4569]) ).
fof(f4569,plain,
( spl6_283
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK5(X0,X1) = sdtasdt0(sK5(X0,X1),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_283])]) ).
fof(f654,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK5(X0,X1) = sdtasdt0(sK5(X0,X1),sz10) )
| ~ spl6_44
| ~ spl6_58 ),
inference(resolution,[],[f598,f482]) ).
fof(f4567,plain,
( spl6_282
| ~ spl6_42
| ~ spl6_58 ),
inference(avatar_split_clause,[],[f653,f597,f472,f4565]) ).
fof(f4565,plain,
( spl6_282
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK5(X0,X1) = sdtpldt0(sz00,sK5(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_282])]) ).
fof(f653,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK5(X0,X1) = sdtpldt0(sz00,sK5(X0,X1)) )
| ~ spl6_42
| ~ spl6_58 ),
inference(resolution,[],[f598,f473]) ).
fof(f4563,plain,
( spl6_281
| ~ spl6_41
| ~ spl6_58 ),
inference(avatar_split_clause,[],[f652,f597,f468,f4561]) ).
fof(f4561,plain,
( spl6_281
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK5(X0,X1) = sdtpldt0(sK5(X0,X1),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_281])]) ).
fof(f652,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK5(X0,X1) = sdtpldt0(sK5(X0,X1),sz00) )
| ~ spl6_41
| ~ spl6_58 ),
inference(resolution,[],[f598,f469]) ).
fof(f4559,plain,
( spl6_280
| ~ spl6_45
| ~ spl6_57 ),
inference(avatar_split_clause,[],[f646,f593,f485,f4557]) ).
fof(f4557,plain,
( spl6_280
<=> ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK4(X0,X1) = sdtasdt0(sz10,sK4(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_280])]) ).
fof(f646,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK4(X0,X1) = sdtasdt0(sz10,sK4(X0,X1)) )
| ~ spl6_45
| ~ spl6_57 ),
inference(resolution,[],[f594,f486]) ).
fof(f4538,plain,
( ~ spl6_141
| spl6_12
| ~ spl6_204 ),
inference(avatar_split_clause,[],[f2712,f2703,f323,f1823]) ).
fof(f1823,plain,
( spl6_141
<=> sP0(xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_141])]) ).
fof(f323,plain,
( spl6_12
<=> sP0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_12])]) ).
fof(f2712,plain,
( ~ sP0(xr)
| spl6_12
| ~ spl6_204 ),
inference(superposition,[],[f325,f2705]) ).
fof(f2705,plain,
( sz00 = xr
| ~ spl6_204 ),
inference(avatar_component_clause,[],[f2703]) ).
fof(f325,plain,
( ~ sP0(sz00)
| spl6_12 ),
inference(avatar_component_clause,[],[f323]) ).
fof(f4537,plain,
( spl6_279
| ~ spl6_44
| ~ spl6_57 ),
inference(avatar_split_clause,[],[f645,f593,f481,f4535]) ).
fof(f4535,plain,
( spl6_279
<=> ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK4(X0,X1) = sdtasdt0(sK4(X0,X1),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_279])]) ).
fof(f645,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK4(X0,X1) = sdtasdt0(sK4(X0,X1),sz10) )
| ~ spl6_44
| ~ spl6_57 ),
inference(resolution,[],[f594,f482]) ).
fof(f4457,plain,
( spl6_278
| ~ spl6_146
| ~ spl6_160
| ~ spl6_277 ),
inference(avatar_split_clause,[],[f4452,f4448,f2128,f1844,f4454]) ).
fof(f4448,plain,
( spl6_277
<=> sdtasdt0(xp,xk) = sdtasdt0(xm,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_277])]) ).
fof(f4452,plain,
( sdtasdt0(xm,xn) = sdtasdt0(xk,xp)
| ~ spl6_146
| ~ spl6_160
| ~ spl6_277 ),
inference(forward_demodulation,[],[f4450,f3757]) ).
fof(f4450,plain,
( sdtasdt0(xp,xk) = sdtasdt0(xm,xn)
| ~ spl6_277 ),
inference(avatar_component_clause,[],[f4448]) ).
fof(f4451,plain,
( ~ spl6_8
| spl6_256
| spl6_277
| ~ spl6_252
| ~ spl6_7
| ~ spl6_28
| ~ spl6_37
| ~ spl6_88
| ~ spl6_144 ),
inference(avatar_split_clause,[],[f3968,f1836,f931,f450,f408,f298,f3609,f4448,f3734,f303]) ).
fof(f3968,plain,
( ~ aNaturalNumber0(sdtasdt0(xm,xn))
| sdtasdt0(xp,xk) = sdtasdt0(xm,xn)
| sz00 = xp
| ~ aNaturalNumber0(xp)
| ~ spl6_7
| ~ spl6_28
| ~ spl6_37
| ~ spl6_88
| ~ spl6_144 ),
inference(forward_demodulation,[],[f3967,f1918]) ).
fof(f3967,plain,
( sdtasdt0(xp,xk) = sdtasdt0(xm,xn)
| sz00 = xp
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xp)
| ~ spl6_7
| ~ spl6_28
| ~ spl6_37
| ~ spl6_88
| ~ spl6_144 ),
inference(forward_demodulation,[],[f987,f1918]) ).
fof(f987,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
| sz00 = xp
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xp)
| ~ spl6_28
| ~ spl6_37
| ~ spl6_88 ),
inference(forward_demodulation,[],[f976,f452]) ).
fof(f976,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xp,sdtsldt0(sdtasdt0(xn,xm),xp))
| sz00 = xp
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xp)
| ~ spl6_28
| ~ spl6_88 ),
inference(resolution,[],[f932,f410]) ).
fof(f4404,plain,
( ~ spl6_4
| ~ spl6_160
| spl6_204
| spl6_276
| ~ spl6_16
| ~ spl6_88 ),
inference(avatar_split_clause,[],[f980,f931,f343,f4401,f2703,f2128,f283]) ).
fof(f980,plain,
( xk = sdtasdt0(xr,sdtsldt0(xk,xr))
| sz00 = xr
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xr)
| ~ spl6_16
| ~ spl6_88 ),
inference(resolution,[],[f932,f345]) ).
fof(f4399,plain,
( ~ spl6_256
| spl6_198
| ~ spl6_251 ),
inference(avatar_split_clause,[],[f3710,f3602,f2662,f3734]) ).
fof(f3710,plain,
( sz00 != xp
| spl6_198
| ~ spl6_251 ),
inference(superposition,[],[f2663,f3604]) ).
fof(f4383,plain,
( ~ spl6_4
| ~ spl6_160
| spl6_275
| ~ spl6_25
| ~ spl6_81 ),
inference(avatar_split_clause,[],[f893,f869,f388,f4381,f2128,f283]) ).
fof(f388,plain,
( spl6_25
<=> sdtlseqdt0(xr,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_25])]) ).
fof(f893,plain,
( ! [X0] :
( sdtlseqdt0(X0,xk)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0) )
| ~ spl6_25
| ~ spl6_81 ),
inference(resolution,[],[f870,f390]) ).
fof(f390,plain,
( sdtlseqdt0(xr,xk)
| ~ spl6_25 ),
inference(avatar_component_clause,[],[f388]) ).
fof(f4363,plain,
( ~ spl6_160
| ~ spl6_8
| spl6_274
| ~ spl6_22
| ~ spl6_81 ),
inference(avatar_split_clause,[],[f892,f869,f373,f4361,f303,f2128]) ).
fof(f4361,plain,
( spl6_274
<=> ! [X0] :
( sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_274])]) ).
fof(f373,plain,
( spl6_22
<=> sdtlseqdt0(xk,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_22])]) ).
fof(f892,plain,
( ! [X0] :
( sdtlseqdt0(X0,xp)
| ~ sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0) )
| ~ spl6_22
| ~ spl6_81 ),
inference(resolution,[],[f870,f375]) ).
fof(f375,plain,
( sdtlseqdt0(xk,xp)
| ~ spl6_22 ),
inference(avatar_component_clause,[],[f373]) ).
fof(f4357,plain,
( ~ spl6_4
| ~ spl6_160
| spl6_273
| ~ spl6_16
| ~ spl6_79 ),
inference(avatar_split_clause,[],[f877,f860,f343,f4355,f2128,f283]) ).
fof(f877,plain,
( ! [X0] :
( doDivides0(X0,xk)
| ~ doDivides0(X0,xr)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0) )
| ~ spl6_16
| ~ spl6_79 ),
inference(resolution,[],[f861,f345]) ).
fof(f4336,plain,
( ~ spl6_4
| ~ spl6_160
| spl6_272
| ~ spl6_25
| ~ spl6_76 ),
inference(avatar_split_clause,[],[f838,f793,f388,f4333,f2128,f283]) ).
fof(f4333,plain,
( spl6_272
<=> xk = sdtpldt0(xr,sdtmndt0(xk,xr)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_272])]) ).
fof(f838,plain,
( xk = sdtpldt0(xr,sdtmndt0(xk,xr))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xr)
| ~ spl6_25
| ~ spl6_76 ),
inference(resolution,[],[f794,f390]) ).
fof(f4253,plain,
( ~ spl6_129
| spl6_12
| ~ spl6_256 ),
inference(avatar_split_clause,[],[f3848,f3734,f323,f1601]) ).
fof(f1601,plain,
( spl6_129
<=> sP0(xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_129])]) ).
fof(f3848,plain,
( ~ sP0(xp)
| spl6_12
| ~ spl6_256 ),
inference(superposition,[],[f325,f3736]) ).
fof(f3736,plain,
( sz00 = xp
| ~ spl6_256 ),
inference(avatar_component_clause,[],[f3734]) ).
fof(f4217,plain,
( ~ spl6_4
| ~ spl6_160
| spl6_271
| ~ spl6_25
| ~ spl6_75 ),
inference(avatar_split_clause,[],[f821,f789,f388,f4214,f2128,f283]) ).
fof(f4214,plain,
( spl6_271
<=> xk = sdtpldt0(xr,sK5(xr,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_271])]) ).
fof(f821,plain,
( xk = sdtpldt0(xr,sK5(xr,xk))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xr)
| ~ spl6_25
| ~ spl6_75 ),
inference(resolution,[],[f790,f390]) ).
fof(f4142,plain,
( spl6_270
| ~ spl6_256
| ~ spl6_269 ),
inference(avatar_split_clause,[],[f4138,f4135,f3734,f4140]) ).
fof(f4140,plain,
( spl6_270
<=> ! [X0,X1] :
( sK4(X0,X1) = sdtpldt0(xp,sK4(X0,X1))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_270])]) ).
fof(f4135,plain,
( spl6_269
<=> ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK4(X0,X1) = sdtpldt0(sz00,sK4(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_269])]) ).
fof(f4138,plain,
( ! [X0,X1] :
( sK4(X0,X1) = sdtpldt0(xp,sK4(X0,X1))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_256
| ~ spl6_269 ),
inference(forward_demodulation,[],[f4136,f3736]) ).
fof(f4136,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK4(X0,X1) = sdtpldt0(sz00,sK4(X0,X1)) )
| ~ spl6_269 ),
inference(avatar_component_clause,[],[f4135]) ).
fof(f4137,plain,
( spl6_269
| ~ spl6_42
| ~ spl6_57 ),
inference(avatar_split_clause,[],[f644,f593,f472,f4135]) ).
fof(f644,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK4(X0,X1) = sdtpldt0(sz00,sK4(X0,X1)) )
| ~ spl6_42
| ~ spl6_57 ),
inference(resolution,[],[f594,f473]) ).
fof(f4056,plain,
( ~ spl6_4
| ~ spl6_160
| spl6_268
| ~ spl6_16
| ~ spl6_74 ),
inference(avatar_split_clause,[],[f805,f785,f343,f4053,f2128,f283]) ).
fof(f4053,plain,
( spl6_268
<=> xk = sdtasdt0(xr,sK4(xr,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_268])]) ).
fof(f805,plain,
( xk = sdtasdt0(xr,sK4(xr,xk))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xr)
| ~ spl6_16
| ~ spl6_74 ),
inference(resolution,[],[f786,f345]) ).
fof(f4046,plain,
( ~ spl6_160
| ~ spl6_4
| ~ spl6_267
| spl6_156
| ~ spl6_25
| ~ spl6_70 ),
inference(avatar_split_clause,[],[f765,f712,f388,f2109,f4043,f283,f2128]) ).
fof(f4043,plain,
( spl6_267
<=> sdtlseqdt0(xk,xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_267])]) ).
fof(f2109,plain,
( spl6_156
<=> xk = xr ),
introduced(avatar_definition,[new_symbols(naming,[spl6_156])]) ).
fof(f765,plain,
( xk = xr
| ~ sdtlseqdt0(xk,xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xk)
| ~ spl6_25
| ~ spl6_70 ),
inference(resolution,[],[f713,f390]) ).
fof(f3966,plain,
( spl6_266
| ~ spl6_256
| ~ spl6_265 ),
inference(avatar_split_clause,[],[f3962,f3959,f3734,f3964]) ).
fof(f3964,plain,
( spl6_266
<=> ! [X0,X1] :
( sK4(X0,X1) = sdtpldt0(sK4(X0,X1),xp)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_266])]) ).
fof(f3959,plain,
( spl6_265
<=> ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK4(X0,X1) = sdtpldt0(sK4(X0,X1),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_265])]) ).
fof(f3962,plain,
( ! [X0,X1] :
( sK4(X0,X1) = sdtpldt0(sK4(X0,X1),xp)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_256
| ~ spl6_265 ),
inference(forward_demodulation,[],[f3960,f3736]) ).
fof(f3960,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK4(X0,X1) = sdtpldt0(sK4(X0,X1),sz00) )
| ~ spl6_265 ),
inference(avatar_component_clause,[],[f3959]) ).
fof(f3961,plain,
( spl6_265
| ~ spl6_41
| ~ spl6_57 ),
inference(avatar_split_clause,[],[f643,f593,f468,f3959]) ).
fof(f643,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK4(X0,X1) = sdtpldt0(sK4(X0,X1),sz00) )
| ~ spl6_41
| ~ spl6_57 ),
inference(resolution,[],[f594,f469]) ).
fof(f3936,plain,
( spl6_264
| ~ spl6_7
| ~ spl6_144
| ~ spl6_262 ),
inference(avatar_split_clause,[],[f3927,f3924,f1836,f298,f3934]) ).
fof(f3934,plain,
( spl6_264
<=> ! [X0] :
( doDivides0(X0,sdtasdt0(xm,xn))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_264])]) ).
fof(f3924,plain,
( spl6_262
<=> ! [X0] :
( doDivides0(X0,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_262])]) ).
fof(f3927,plain,
( ! [X0] :
( doDivides0(X0,sdtasdt0(xm,xn))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr) )
| ~ spl6_7
| ~ spl6_144
| ~ spl6_262 ),
inference(forward_demodulation,[],[f3925,f1918]) ).
fof(f3925,plain,
( ! [X0] :
( doDivides0(X0,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr) )
| ~ spl6_262 ),
inference(avatar_component_clause,[],[f3924]) ).
fof(f3932,plain,
( spl6_263
| ~ spl6_7
| ~ spl6_144
| ~ spl6_156
| ~ spl6_262 ),
inference(avatar_split_clause,[],[f3928,f3924,f2109,f1836,f298,f3930]) ).
fof(f3930,plain,
( spl6_263
<=> ! [X0] :
( ~ doDivides0(X0,xk)
| doDivides0(X0,sdtasdt0(xm,xn))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_263])]) ).
fof(f3928,plain,
( ! [X0] :
( ~ doDivides0(X0,xk)
| doDivides0(X0,sdtasdt0(xm,xn))
| ~ aNaturalNumber0(X0) )
| ~ spl6_7
| ~ spl6_144
| ~ spl6_156
| ~ spl6_262 ),
inference(forward_demodulation,[],[f3927,f2111]) ).
fof(f2111,plain,
( xk = xr
| ~ spl6_156 ),
inference(avatar_component_clause,[],[f2109]) ).
fof(f3926,plain,
( ~ spl6_4
| ~ spl6_249
| spl6_262
| ~ spl6_29
| ~ spl6_79 ),
inference(avatar_split_clause,[],[f878,f860,f413,f3924,f3594,f283]) ).
fof(f878,plain,
( ! [X0] :
( doDivides0(X0,sdtasdt0(xn,xm))
| ~ doDivides0(X0,xr)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0) )
| ~ spl6_29
| ~ spl6_79 ),
inference(resolution,[],[f861,f415]) ).
fof(f3901,plain,
( spl6_261
| ~ spl6_7
| ~ spl6_144
| ~ spl6_260 ),
inference(avatar_split_clause,[],[f3897,f3894,f1836,f298,f3899]) ).
fof(f3899,plain,
( spl6_261
<=> ! [X0] :
( doDivides0(X0,sdtasdt0(xm,xn))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_261])]) ).
fof(f3894,plain,
( spl6_260
<=> ! [X0] :
( doDivides0(X0,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_260])]) ).
fof(f3897,plain,
( ! [X0] :
( doDivides0(X0,sdtasdt0(xm,xn))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp) )
| ~ spl6_7
| ~ spl6_144
| ~ spl6_260 ),
inference(forward_demodulation,[],[f3895,f1918]) ).
fof(f3895,plain,
( ! [X0] :
( doDivides0(X0,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp) )
| ~ spl6_260 ),
inference(avatar_component_clause,[],[f3894]) ).
fof(f3896,plain,
( ~ spl6_8
| ~ spl6_249
| spl6_260
| ~ spl6_28
| ~ spl6_79 ),
inference(avatar_split_clause,[],[f873,f860,f408,f3894,f3594,f303]) ).
fof(f873,plain,
( ! [X0] :
( doDivides0(X0,sdtasdt0(xn,xm))
| ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) )
| ~ spl6_28
| ~ spl6_79 ),
inference(resolution,[],[f861,f410]) ).
fof(f3846,plain,
( spl6_259
| ~ spl6_27
| ~ spl6_160 ),
inference(avatar_split_clause,[],[f3738,f2128,f398,f3843]) ).
fof(f3738,plain,
( sP1(xk)
| ~ spl6_27
| ~ spl6_160 ),
inference(resolution,[],[f2129,f399]) ).
fof(f3841,plain,
( ~ spl6_8
| ~ spl6_160
| ~ spl6_258
| spl6_21
| ~ spl6_22
| ~ spl6_70 ),
inference(avatar_split_clause,[],[f764,f712,f373,f368,f3838,f2128,f303]) ).
fof(f3838,plain,
( spl6_258
<=> sdtlseqdt0(xp,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_258])]) ).
fof(f368,plain,
( spl6_21
<=> xp = xk ),
introduced(avatar_definition,[new_symbols(naming,[spl6_21])]) ).
fof(f764,plain,
( xp = xk
| ~ sdtlseqdt0(xp,xk)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xp)
| ~ spl6_22
| ~ spl6_70 ),
inference(resolution,[],[f713,f375]) ).
fof(f3805,plain,
( ~ spl6_4
| ~ spl6_160
| spl6_156
| spl6_257
| ~ spl6_25
| ~ spl6_68 ),
inference(avatar_split_clause,[],[f740,f702,f388,f3802,f2109,f2128,f283]) ).
fof(f3802,plain,
( spl6_257
<=> iLess0(xr,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_257])]) ).
fof(f740,plain,
( iLess0(xr,xk)
| xk = xr
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xr)
| ~ spl6_25
| ~ spl6_68 ),
inference(resolution,[],[f703,f390]) ).
fof(f3737,plain,
( ~ spl6_8
| ~ spl6_249
| spl6_256
| ~ spl6_28
| spl6_160
| ~ spl6_37
| ~ spl6_77 ),
inference(avatar_split_clause,[],[f854,f797,f450,f2128,f408,f3734,f3594,f303]) ).
fof(f854,plain,
( aNaturalNumber0(xk)
| ~ doDivides0(xp,sdtasdt0(xn,xm))
| sz00 = xp
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xp)
| ~ spl6_37
| ~ spl6_77 ),
inference(superposition,[],[f798,f452]) ).
fof(f3635,plain,
( ~ spl6_7
| ~ spl6_6
| ~ spl6_49
| spl6_252 ),
inference(avatar_split_clause,[],[f3613,f3609,f539,f293,f298]) ).
fof(f3613,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ spl6_49
| spl6_252 ),
inference(resolution,[],[f3611,f540]) ).
fof(f3611,plain,
( ~ aNaturalNumber0(sdtasdt0(xm,xn))
| spl6_252 ),
inference(avatar_component_clause,[],[f3609]) ).
fof(f3634,plain,
( ~ spl6_255
| ~ spl6_7
| ~ spl6_144
| spl6_254 ),
inference(avatar_split_clause,[],[f3629,f3625,f1836,f298,f3631]) ).
fof(f3629,plain,
( ~ sdtlseqdt0(xr,sdtasdt0(xm,xn))
| ~ spl6_7
| ~ spl6_144
| spl6_254 ),
inference(forward_demodulation,[],[f3626,f1918]) ).
fof(f3626,plain,
( ~ sdtlseqdt0(xr,sdtasdt0(xn,xm))
| spl6_254 ),
inference(avatar_component_clause,[],[f3625]) ).
fof(f3628,plain,
( ~ spl6_4
| ~ spl6_249
| spl6_254
| spl6_251
| ~ spl6_29
| ~ spl6_69 ),
inference(avatar_split_clause,[],[f751,f708,f413,f3602,f3625,f3594,f283]) ).
fof(f751,plain,
( sz00 = sdtasdt0(xn,xm)
| sdtlseqdt0(xr,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xr)
| ~ spl6_29
| ~ spl6_69 ),
inference(resolution,[],[f709,f415]) ).
fof(f3618,plain,
( ~ spl6_253
| ~ spl6_7
| ~ spl6_144
| spl6_250 ),
inference(avatar_split_clause,[],[f3606,f3598,f1836,f298,f3615]) ).
fof(f3606,plain,
( ~ sdtlseqdt0(xp,sdtasdt0(xm,xn))
| ~ spl6_7
| ~ spl6_144
| spl6_250 ),
inference(forward_demodulation,[],[f3599,f1918]) ).
fof(f3599,plain,
( ~ sdtlseqdt0(xp,sdtasdt0(xn,xm))
| spl6_250 ),
inference(avatar_component_clause,[],[f3598]) ).
fof(f3612,plain,
( ~ spl6_252
| ~ spl6_7
| ~ spl6_144
| spl6_249 ),
inference(avatar_split_clause,[],[f3607,f3594,f1836,f298,f3609]) ).
fof(f3607,plain,
( ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ spl6_7
| ~ spl6_144
| spl6_249 ),
inference(forward_demodulation,[],[f3596,f1918]) ).
fof(f3596,plain,
( ~ aNaturalNumber0(sdtasdt0(xn,xm))
| spl6_249 ),
inference(avatar_component_clause,[],[f3594]) ).
fof(f3605,plain,
( ~ spl6_8
| ~ spl6_249
| spl6_250
| spl6_251
| ~ spl6_28
| ~ spl6_69 ),
inference(avatar_split_clause,[],[f746,f708,f408,f3602,f3598,f3594,f303]) ).
fof(f746,plain,
( sz00 = sdtasdt0(xn,xm)
| sdtlseqdt0(xp,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xp)
| ~ spl6_28
| ~ spl6_69 ),
inference(resolution,[],[f709,f410]) ).
fof(f3583,plain,
( ~ spl6_247
| ~ spl6_6
| spl6_31
| spl6_248
| ~ spl6_32
| ~ spl6_68 ),
inference(avatar_split_clause,[],[f736,f702,f428,f3580,f423,f293,f3576]) ).
fof(f736,plain,
( iLess0(sdtsldt0(xn,xr),xn)
| xn = sdtsldt0(xn,xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ spl6_32
| ~ spl6_68 ),
inference(resolution,[],[f703,f430]) ).
fof(f3388,plain,
( ~ spl6_4
| ~ spl6_9
| spl6_246
| ~ spl6_71
| ~ spl6_106 ),
inference(avatar_split_clause,[],[f1303,f1139,f716,f3385,f308,f283]) ).
fof(f3385,plain,
( spl6_246
<=> doDivides0(xr,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_246])]) ).
fof(f1303,plain,
( doDivides0(xr,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xr)
| ~ spl6_71
| ~ spl6_106 ),
inference(duplicate_literal_removal,[],[f1293]) ).
fof(f1293,plain,
( doDivides0(xr,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xr)
| ~ spl6_71
| ~ spl6_106 ),
inference(superposition,[],[f717,f1141]) ).
fof(f3327,plain,
( spl6_245
| ~ spl6_72
| ~ spl6_97 ),
inference(avatar_split_clause,[],[f1076,f1066,f720,f3325]) ).
fof(f1066,plain,
( spl6_97
<=> ! [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_97])]) ).
fof(f1076,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtmndt0(sdtpldt0(X1,X0),X1) = X0
| ~ aNaturalNumber0(sdtpldt0(X1,X0))
| ~ aNaturalNumber0(X1) )
| ~ spl6_72
| ~ spl6_97 ),
inference(duplicate_literal_removal,[],[f1069]) ).
fof(f1069,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_72
| ~ spl6_97 ),
inference(resolution,[],[f1067,f721]) ).
fof(f1067,plain,
( ! [X2,X0] :
( ~ sdtlseqdt0(X0,sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X2)
| sdtmndt0(sdtpldt0(X0,X2),X0) = X2
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X0) )
| ~ spl6_97 ),
inference(avatar_component_clause,[],[f1066]) ).
fof(f3323,plain,
( spl6_244
| ~ spl6_10
| ~ spl6_85 ),
inference(avatar_split_clause,[],[f949,f917,f313,f3321]) ).
fof(f3321,plain,
( spl6_244
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sz10) = sdtasdt0(X0,sdtasdt0(X1,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_244])]) ).
fof(f949,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sz10) = sdtasdt0(X0,sdtasdt0(X1,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_10
| ~ spl6_85 ),
inference(resolution,[],[f918,f315]) ).
fof(f3319,plain,
( spl6_243
| ~ spl6_9
| ~ spl6_85 ),
inference(avatar_split_clause,[],[f948,f917,f308,f3317]) ).
fof(f3317,plain,
( spl6_243
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sz00) = sdtasdt0(X0,sdtasdt0(X1,sz00))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_243])]) ).
fof(f948,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sz00) = sdtasdt0(X0,sdtasdt0(X1,sz00))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_9
| ~ spl6_85 ),
inference(resolution,[],[f918,f310]) ).
fof(f3315,plain,
( spl6_242
| ~ spl6_10
| ~ spl6_84 ),
inference(avatar_split_clause,[],[f935,f913,f313,f3313]) ).
fof(f3313,plain,
( spl6_242
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sz10) = sdtpldt0(X0,sdtpldt0(X1,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_242])]) ).
fof(f935,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sz10) = sdtpldt0(X0,sdtpldt0(X1,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_10
| ~ spl6_84 ),
inference(resolution,[],[f914,f315]) ).
fof(f3303,plain,
( spl6_241
| ~ spl6_9
| ~ spl6_84 ),
inference(avatar_split_clause,[],[f934,f913,f308,f3301]) ).
fof(f3301,plain,
( spl6_241
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(X0,sdtpldt0(X1,sz00))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_241])]) ).
fof(f934,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(X0,sdtpldt0(X1,sz00))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_9
| ~ spl6_84 ),
inference(resolution,[],[f914,f310]) ).
fof(f3299,plain,
( spl6_240
| ~ spl6_50
| ~ spl6_81 ),
inference(avatar_split_clause,[],[f897,f869,f557,f3297]) ).
fof(f3297,plain,
( spl6_240
<=> ! [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_240])]) ).
fof(f897,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X2) )
| ~ spl6_50
| ~ spl6_81 ),
inference(duplicate_literal_removal,[],[f885]) ).
fof(f885,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) )
| ~ spl6_50
| ~ spl6_81 ),
inference(resolution,[],[f870,f558]) ).
fof(f3295,plain,
( spl6_239
| ~ spl6_63
| ~ spl6_69 ),
inference(avatar_split_clause,[],[f754,f708,f680,f3293]) ).
fof(f3293,plain,
( spl6_239
<=> ! [X0] :
( sz00 = X0
| sdtlseqdt0(sK3(X0),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(X0))
| sz10 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_239])]) ).
fof(f754,plain,
( ! [X0] :
( sz00 = X0
| sdtlseqdt0(sK3(X0),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(X0))
| sz10 = X0 )
| ~ spl6_63
| ~ spl6_69 ),
inference(duplicate_literal_removal,[],[f753]) ).
fof(f753,plain,
( ! [X0] :
( sz00 = X0
| sdtlseqdt0(sK3(X0),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(X0))
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl6_63
| ~ spl6_69 ),
inference(resolution,[],[f709,f681]) ).
fof(f3291,plain,
( spl6_238
| ~ spl6_45
| ~ spl6_53 ),
inference(avatar_split_clause,[],[f617,f575,f485,f3289]) ).
fof(f3289,plain,
( spl6_238
<=> ! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sK3(X0) = sdtasdt0(sz10,sK3(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_238])]) ).
fof(f617,plain,
( ! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sK3(X0) = sdtasdt0(sz10,sK3(X0)) )
| ~ spl6_45
| ~ spl6_53 ),
inference(resolution,[],[f576,f486]) ).
fof(f3287,plain,
( spl6_237
| ~ spl6_44
| ~ spl6_53 ),
inference(avatar_split_clause,[],[f616,f575,f481,f3285]) ).
fof(f3285,plain,
( spl6_237
<=> ! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sK3(X0) = sdtasdt0(sK3(X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_237])]) ).
fof(f616,plain,
( ! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sK3(X0) = sdtasdt0(sK3(X0),sz10) )
| ~ spl6_44
| ~ spl6_53 ),
inference(resolution,[],[f576,f482]) ).
fof(f3283,plain,
( spl6_236
| ~ spl6_42
| ~ spl6_53 ),
inference(avatar_split_clause,[],[f615,f575,f472,f3281]) ).
fof(f3281,plain,
( spl6_236
<=> ! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sK3(X0) = sdtpldt0(sz00,sK3(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_236])]) ).
fof(f615,plain,
( ! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sK3(X0) = sdtpldt0(sz00,sK3(X0)) )
| ~ spl6_42
| ~ spl6_53 ),
inference(resolution,[],[f576,f473]) ).
fof(f3279,plain,
( spl6_235
| ~ spl6_41
| ~ spl6_53 ),
inference(avatar_split_clause,[],[f614,f575,f468,f3277]) ).
fof(f3277,plain,
( spl6_235
<=> ! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sK3(X0) = sdtpldt0(sK3(X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_235])]) ).
fof(f614,plain,
( ! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sK3(X0) = sdtpldt0(sK3(X0),sz00) )
| ~ spl6_41
| ~ spl6_53 ),
inference(resolution,[],[f576,f469]) ).
fof(f3275,plain,
( spl6_234
| ~ spl6_45
| ~ spl6_52 ),
inference(avatar_split_clause,[],[f610,f571,f485,f3273]) ).
fof(f3273,plain,
( spl6_234
<=> ! [X0] :
( sP0(X0)
| sz10 = X0
| sz00 = X0
| sK2(X0) = sdtasdt0(sz10,sK2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_234])]) ).
fof(f610,plain,
( ! [X0] :
( sP0(X0)
| sz10 = X0
| sz00 = X0
| sK2(X0) = sdtasdt0(sz10,sK2(X0)) )
| ~ spl6_45
| ~ spl6_52 ),
inference(resolution,[],[f572,f486]) ).
fof(f3271,plain,
( spl6_233
| ~ spl6_44
| ~ spl6_52 ),
inference(avatar_split_clause,[],[f609,f571,f481,f3269]) ).
fof(f3269,plain,
( spl6_233
<=> ! [X0] :
( sP0(X0)
| sz10 = X0
| sz00 = X0
| sK2(X0) = sdtasdt0(sK2(X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_233])]) ).
fof(f609,plain,
( ! [X0] :
( sP0(X0)
| sz10 = X0
| sz00 = X0
| sK2(X0) = sdtasdt0(sK2(X0),sz10) )
| ~ spl6_44
| ~ spl6_52 ),
inference(resolution,[],[f572,f482]) ).
fof(f3267,plain,
( spl6_232
| ~ spl6_42
| ~ spl6_52 ),
inference(avatar_split_clause,[],[f608,f571,f472,f3265]) ).
fof(f3265,plain,
( spl6_232
<=> ! [X0] :
( sP0(X0)
| sz10 = X0
| sz00 = X0
| sK2(X0) = sdtpldt0(sz00,sK2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_232])]) ).
fof(f608,plain,
( ! [X0] :
( sP0(X0)
| sz10 = X0
| sz00 = X0
| sK2(X0) = sdtpldt0(sz00,sK2(X0)) )
| ~ spl6_42
| ~ spl6_52 ),
inference(resolution,[],[f572,f473]) ).
fof(f3263,plain,
( ~ spl6_8
| ~ spl6_9
| spl6_231
| ~ spl6_71
| ~ spl6_105 ),
inference(avatar_split_clause,[],[f1290,f1134,f716,f3260,f308,f303]) ).
fof(f3260,plain,
( spl6_231
<=> doDivides0(xp,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_231])]) ).
fof(f1134,plain,
( spl6_105
<=> sz00 = sdtasdt0(xp,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_105])]) ).
fof(f1290,plain,
( doDivides0(xp,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ spl6_71
| ~ spl6_105 ),
inference(duplicate_literal_removal,[],[f1280]) ).
fof(f1280,plain,
( doDivides0(xp,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ spl6_71
| ~ spl6_105 ),
inference(superposition,[],[f717,f1136]) ).
fof(f1136,plain,
( sz00 = sdtasdt0(xp,sz00)
| ~ spl6_105 ),
inference(avatar_component_clause,[],[f1134]) ).
fof(f3258,plain,
( spl6_230
| ~ spl6_41
| ~ spl6_52 ),
inference(avatar_split_clause,[],[f607,f571,f468,f3256]) ).
fof(f3256,plain,
( spl6_230
<=> ! [X0] :
( sP0(X0)
| sz10 = X0
| sz00 = X0
| sK2(X0) = sdtpldt0(sK2(X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_230])]) ).
fof(f607,plain,
( ! [X0] :
( sP0(X0)
| sz10 = X0
| sz00 = X0
| sK2(X0) = sdtpldt0(sK2(X0),sz00) )
| ~ spl6_41
| ~ spl6_52 ),
inference(resolution,[],[f572,f469]) ).
fof(f3114,plain,
( spl6_229
| ~ spl6_4
| ~ spl6_85 ),
inference(avatar_split_clause,[],[f957,f917,f283,f3112]) ).
fof(f3112,plain,
( spl6_229
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xr) = sdtasdt0(X0,sdtasdt0(X1,xr))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_229])]) ).
fof(f957,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xr) = sdtasdt0(X0,sdtasdt0(X1,xr))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_4
| ~ spl6_85 ),
inference(resolution,[],[f918,f285]) ).
fof(f3102,plain,
( spl6_228
| ~ spl6_8
| ~ spl6_85 ),
inference(avatar_split_clause,[],[f956,f917,f303,f3100]) ).
fof(f3100,plain,
( spl6_228
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xp) = sdtasdt0(X0,sdtasdt0(X1,xp))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_228])]) ).
fof(f956,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xp) = sdtasdt0(X0,sdtasdt0(X1,xp))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_8
| ~ spl6_85 ),
inference(resolution,[],[f918,f305]) ).
fof(f3098,plain,
( spl6_227
| ~ spl6_7
| ~ spl6_85 ),
inference(avatar_split_clause,[],[f955,f917,f298,f3096]) ).
fof(f3096,plain,
( spl6_227
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xm) = sdtasdt0(X0,sdtasdt0(X1,xm))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_227])]) ).
fof(f955,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xm) = sdtasdt0(X0,sdtasdt0(X1,xm))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_7
| ~ spl6_85 ),
inference(resolution,[],[f918,f300]) ).
fof(f3094,plain,
( spl6_226
| ~ spl6_6
| ~ spl6_85 ),
inference(avatar_split_clause,[],[f954,f917,f293,f3092]) ).
fof(f3092,plain,
( spl6_226
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xn) = sdtasdt0(X0,sdtasdt0(X1,xn))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_226])]) ).
fof(f954,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xn) = sdtasdt0(X0,sdtasdt0(X1,xn))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_6
| ~ spl6_85 ),
inference(resolution,[],[f918,f295]) ).
fof(f3090,plain,
( spl6_225
| ~ spl6_4
| ~ spl6_84 ),
inference(avatar_split_clause,[],[f943,f913,f283,f3088]) ).
fof(f3088,plain,
( spl6_225
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xr) = sdtpldt0(X0,sdtpldt0(X1,xr))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_225])]) ).
fof(f943,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xr) = sdtpldt0(X0,sdtpldt0(X1,xr))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_4
| ~ spl6_84 ),
inference(resolution,[],[f914,f285]) ).
fof(f3086,plain,
( spl6_224
| ~ spl6_8
| ~ spl6_84 ),
inference(avatar_split_clause,[],[f942,f913,f303,f3084]) ).
fof(f3084,plain,
( spl6_224
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xp) = sdtpldt0(X0,sdtpldt0(X1,xp))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_224])]) ).
fof(f942,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xp) = sdtpldt0(X0,sdtpldt0(X1,xp))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_8
| ~ spl6_84 ),
inference(resolution,[],[f914,f305]) ).
fof(f3082,plain,
( spl6_223
| ~ spl6_7
| ~ spl6_84 ),
inference(avatar_split_clause,[],[f941,f913,f298,f3080]) ).
fof(f3080,plain,
( spl6_223
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xm) = sdtpldt0(X0,sdtpldt0(X1,xm))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_223])]) ).
fof(f941,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xm) = sdtpldt0(X0,sdtpldt0(X1,xm))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_7
| ~ spl6_84 ),
inference(resolution,[],[f914,f300]) ).
fof(f3078,plain,
( spl6_222
| ~ spl6_6
| ~ spl6_84 ),
inference(avatar_split_clause,[],[f940,f913,f293,f3076]) ).
fof(f3076,plain,
( spl6_222
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xn) = sdtpldt0(X0,sdtpldt0(X1,xn))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_222])]) ).
fof(f940,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xn) = sdtpldt0(X0,sdtpldt0(X1,xn))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_6
| ~ spl6_84 ),
inference(resolution,[],[f914,f295]) ).
fof(f3017,plain,
( ~ spl6_7
| ~ spl6_9
| spl6_221
| ~ spl6_71
| ~ spl6_104 ),
inference(avatar_split_clause,[],[f1277,f1129,f716,f3014,f308,f298]) ).
fof(f3014,plain,
( spl6_221
<=> doDivides0(xm,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_221])]) ).
fof(f1277,plain,
( doDivides0(xm,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ spl6_71
| ~ spl6_104 ),
inference(duplicate_literal_removal,[],[f1267]) ).
fof(f1267,plain,
( doDivides0(xm,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ spl6_71
| ~ spl6_104 ),
inference(superposition,[],[f717,f1131]) ).
fof(f2820,plain,
( spl6_220
| ~ spl6_27
| ~ spl6_77 ),
inference(avatar_split_clause,[],[f845,f797,f398,f2818]) ).
fof(f2818,plain,
( spl6_220
<=> ! [X0,X1] :
( ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sP1(sdtsldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_220])]) ).
fof(f845,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sP1(sdtsldt0(X1,X0)) )
| ~ spl6_27
| ~ spl6_77 ),
inference(resolution,[],[f798,f399]) ).
fof(f2816,plain,
( spl6_219
| ~ spl6_50
| ~ spl6_76 ),
inference(avatar_split_clause,[],[f842,f793,f557,f2814]) ).
fof(f2814,plain,
( spl6_219
<=> ! [X0,X1] :
( sdtpldt0(X0,sdtmndt0(X1,X0)) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_219])]) ).
fof(f842,plain,
( ! [X0,X1] :
( sdtpldt0(X0,sdtmndt0(X1,X0)) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X0) )
| ~ spl6_50
| ~ spl6_76 ),
inference(duplicate_literal_removal,[],[f830]) ).
fof(f830,plain,
( ! [X0,X1] :
( sdtpldt0(X0,sdtmndt0(X1,X0)) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_50
| ~ spl6_76 ),
inference(resolution,[],[f794,f558]) ).
fof(f2812,plain,
( spl6_218
| ~ spl6_50
| ~ spl6_75 ),
inference(avatar_split_clause,[],[f825,f789,f557,f2810]) ).
fof(f2810,plain,
( spl6_218
<=> ! [X0,X1] :
( sdtpldt0(X0,sK5(X0,X1)) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_218])]) ).
fof(f825,plain,
( ! [X0,X1] :
( sdtpldt0(X0,sK5(X0,X1)) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X0) )
| ~ spl6_50
| ~ spl6_75 ),
inference(duplicate_literal_removal,[],[f813]) ).
fof(f813,plain,
( ! [X0,X1] :
( sdtpldt0(X0,sK5(X0,X1)) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_50
| ~ spl6_75 ),
inference(resolution,[],[f790,f558]) ).
fof(f2808,plain,
( spl6_217
| ~ spl6_40
| ~ spl6_59 ),
inference(avatar_split_clause,[],[f660,f601,f464,f2806]) ).
fof(f660,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtmndt0(X1,X0)) )
| ~ spl6_40
| ~ spl6_59 ),
inference(resolution,[],[f602,f465]) ).
fof(f2804,plain,
( spl6_216
| ~ spl6_39
| ~ spl6_59 ),
inference(avatar_split_clause,[],[f659,f601,f460,f2802]) ).
fof(f659,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtmndt0(X1,X0),sz00) )
| ~ spl6_39
| ~ spl6_59 ),
inference(resolution,[],[f602,f461]) ).
fof(f2800,plain,
( spl6_215
| ~ spl6_40
| ~ spl6_58 ),
inference(avatar_split_clause,[],[f651,f597,f464,f2798]) ).
fof(f651,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sK5(X0,X1)) )
| ~ spl6_40
| ~ spl6_58 ),
inference(resolution,[],[f598,f465]) ).
fof(f2796,plain,
( spl6_214
| ~ spl6_39
| ~ spl6_58 ),
inference(avatar_split_clause,[],[f650,f597,f460,f2794]) ).
fof(f650,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sK5(X0,X1),sz00) )
| ~ spl6_39
| ~ spl6_58 ),
inference(resolution,[],[f598,f461]) ).
fof(f2792,plain,
( spl6_213
| ~ spl6_40
| ~ spl6_57 ),
inference(avatar_split_clause,[],[f642,f593,f464,f2790]) ).
fof(f2790,plain,
( spl6_213
<=> ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sK4(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_213])]) ).
fof(f642,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sK4(X0,X1)) )
| ~ spl6_40
| ~ spl6_57 ),
inference(resolution,[],[f594,f465]) ).
fof(f2788,plain,
( spl6_212
| ~ spl6_39
| ~ spl6_57 ),
inference(avatar_split_clause,[],[f641,f593,f460,f2786]) ).
fof(f2786,plain,
( spl6_212
<=> ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sK4(X0,X1),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_212])]) ).
fof(f641,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sK4(X0,X1),sz00) )
| ~ spl6_39
| ~ spl6_57 ),
inference(resolution,[],[f594,f461]) ).
fof(f2784,plain,
( spl6_211
| ~ spl6_40
| ~ spl6_53 ),
inference(avatar_split_clause,[],[f613,f575,f464,f2782]) ).
fof(f2782,plain,
( spl6_211
<=> ! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sK3(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_211])]) ).
fof(f613,plain,
( ! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sK3(X0)) )
| ~ spl6_40
| ~ spl6_53 ),
inference(resolution,[],[f576,f465]) ).
fof(f2780,plain,
( ~ spl6_6
| ~ spl6_9
| spl6_210
| ~ spl6_71
| ~ spl6_103 ),
inference(avatar_split_clause,[],[f1264,f1124,f716,f2777,f308,f293]) ).
fof(f2777,plain,
( spl6_210
<=> doDivides0(xn,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_210])]) ).
fof(f1264,plain,
( doDivides0(xn,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ spl6_71
| ~ spl6_103 ),
inference(duplicate_literal_removal,[],[f1254]) ).
fof(f1254,plain,
( doDivides0(xn,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ spl6_71
| ~ spl6_103 ),
inference(superposition,[],[f717,f1126]) ).
fof(f2775,plain,
( spl6_209
| ~ spl6_39
| ~ spl6_53 ),
inference(avatar_split_clause,[],[f612,f575,f460,f2773]) ).
fof(f2773,plain,
( spl6_209
<=> ! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sK3(X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_209])]) ).
fof(f612,plain,
( ! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sK3(X0),sz00) )
| ~ spl6_39
| ~ spl6_53 ),
inference(resolution,[],[f576,f461]) ).
fof(f2771,plain,
( spl6_208
| ~ spl6_40
| ~ spl6_52 ),
inference(avatar_split_clause,[],[f606,f571,f464,f2769]) ).
fof(f2769,plain,
( spl6_208
<=> ! [X0] :
( sP0(X0)
| sz10 = X0
| sz00 = X0
| sz00 = sdtasdt0(sz00,sK2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_208])]) ).
fof(f606,plain,
( ! [X0] :
( sP0(X0)
| sz10 = X0
| sz00 = X0
| sz00 = sdtasdt0(sz00,sK2(X0)) )
| ~ spl6_40
| ~ spl6_52 ),
inference(resolution,[],[f572,f465]) ).
fof(f2750,plain,
( spl6_207
| ~ spl6_204
| ~ spl6_206 ),
inference(avatar_split_clause,[],[f2746,f2742,f2703,f2748]) ).
fof(f2748,plain,
( spl6_207
<=> ! [X0] :
( xr = sdtasdt0(sK2(X0),xr)
| xr = X0
| sP0(X0)
| sz10 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_207])]) ).
fof(f2742,plain,
( spl6_206
<=> ! [X0] :
( sP0(X0)
| sz10 = X0
| sz00 = X0
| sz00 = sdtasdt0(sK2(X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_206])]) ).
fof(f2746,plain,
( ! [X0] :
( xr = sdtasdt0(sK2(X0),xr)
| xr = X0
| sP0(X0)
| sz10 = X0 )
| ~ spl6_204
| ~ spl6_206 ),
inference(forward_demodulation,[],[f2745,f2705]) ).
fof(f2745,plain,
( ! [X0] :
( xr = X0
| sP0(X0)
| sz10 = X0
| sz00 = sdtasdt0(sK2(X0),sz00) )
| ~ spl6_204
| ~ spl6_206 ),
inference(forward_demodulation,[],[f2743,f2705]) ).
fof(f2743,plain,
( ! [X0] :
( sP0(X0)
| sz10 = X0
| sz00 = X0
| sz00 = sdtasdt0(sK2(X0),sz00) )
| ~ spl6_206 ),
inference(avatar_component_clause,[],[f2742]) ).
fof(f2744,plain,
( spl6_206
| ~ spl6_39
| ~ spl6_52 ),
inference(avatar_split_clause,[],[f605,f571,f460,f2742]) ).
fof(f605,plain,
( ! [X0] :
( sP0(X0)
| sz10 = X0
| sz00 = X0
| sz00 = sdtasdt0(sK2(X0),sz00) )
| ~ spl6_39
| ~ spl6_52 ),
inference(resolution,[],[f572,f461]) ).
fof(f2710,plain,
( ~ spl6_4
| ~ spl6_6
| spl6_204
| spl6_205
| ~ spl6_15
| ~ spl6_88 ),
inference(avatar_split_clause,[],[f979,f931,f338,f2707,f2703,f293,f283]) ).
fof(f979,plain,
( xn = sdtasdt0(xr,sdtsldt0(xn,xr))
| sz00 = xr
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xr)
| ~ spl6_15
| ~ spl6_88 ),
inference(resolution,[],[f932,f340]) ).
fof(f2689,plain,
( ~ spl6_197
| ~ spl6_4
| spl6_203
| spl6_157
| ~ spl6_29
| ~ spl6_67 ),
inference(avatar_split_clause,[],[f728,f698,f413,f2113,f2686,f283,f2658]) ).
fof(f2658,plain,
( spl6_197
<=> sP0(sdtasdt0(xn,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_197])]) ).
fof(f2113,plain,
( spl6_157
<=> sz10 = xr ),
introduced(avatar_definition,[new_symbols(naming,[spl6_157])]) ).
fof(f728,plain,
( sz10 = xr
| sdtasdt0(xn,xm) = xr
| ~ aNaturalNumber0(xr)
| ~ sP0(sdtasdt0(xn,xm))
| ~ spl6_29
| ~ spl6_67 ),
inference(resolution,[],[f699,f415]) ).
fof(f2684,plain,
( ~ spl6_201
| ~ spl6_8
| spl6_202
| spl6_199
| ~ spl6_46
| ~ spl6_67 ),
inference(avatar_split_clause,[],[f725,f698,f525,f2666,f2681,f303,f2677]) ).
fof(f2677,plain,
( spl6_201
<=> sP0(sdtsldt0(xn,xr)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_201])]) ).
fof(f2681,plain,
( spl6_202
<=> xp = sdtsldt0(xn,xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_202])]) ).
fof(f725,plain,
( sz10 = xp
| xp = sdtsldt0(xn,xr)
| ~ aNaturalNumber0(xp)
| ~ sP0(sdtsldt0(xn,xr))
| ~ spl6_46
| ~ spl6_67 ),
inference(resolution,[],[f699,f527]) ).
fof(f2675,plain,
( ~ spl6_200
| ~ spl6_7
| ~ spl6_144
| spl6_197 ),
inference(avatar_split_clause,[],[f2670,f2658,f1836,f298,f2672]) ).
fof(f2670,plain,
( ~ sP0(sdtasdt0(xm,xn))
| ~ spl6_7
| ~ spl6_144
| spl6_197 ),
inference(forward_demodulation,[],[f2660,f1918]) ).
fof(f2660,plain,
( ~ sP0(sdtasdt0(xn,xm))
| spl6_197 ),
inference(avatar_component_clause,[],[f2658]) ).
fof(f2669,plain,
( ~ spl6_197
| ~ spl6_8
| spl6_198
| spl6_199
| ~ spl6_28
| ~ spl6_67 ),
inference(avatar_split_clause,[],[f723,f698,f408,f2666,f2662,f303,f2658]) ).
fof(f723,plain,
( sz10 = xp
| xp = sdtasdt0(xn,xm)
| ~ aNaturalNumber0(xp)
| ~ sP0(sdtasdt0(xn,xm))
| ~ spl6_28
| ~ spl6_67 ),
inference(resolution,[],[f699,f410]) ).
fof(f2638,plain,
( ~ spl6_10
| spl6_196
| ~ spl6_71
| ~ spl6_136 ),
inference(avatar_split_clause,[],[f1765,f1636,f716,f2635,f313]) ).
fof(f2635,plain,
( spl6_196
<=> doDivides0(sz10,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_196])]) ).
fof(f1636,plain,
( spl6_136
<=> sz10 = sdtasdt0(sz10,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_136])]) ).
fof(f1765,plain,
( doDivides0(sz10,sz10)
| ~ aNaturalNumber0(sz10)
| ~ spl6_71
| ~ spl6_136 ),
inference(duplicate_literal_removal,[],[f1746]) ).
fof(f1746,plain,
( doDivides0(sz10,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz10)
| ~ spl6_71
| ~ spl6_136 ),
inference(superposition,[],[f717,f1638]) ).
fof(f1638,plain,
( sz10 = sdtasdt0(sz10,sz10)
| ~ spl6_136 ),
inference(avatar_component_clause,[],[f1636]) ).
fof(f2513,plain,
( ~ spl6_10
| spl6_195
| ~ spl6_51
| ~ spl6_70 ),
inference(avatar_split_clause,[],[f769,f712,f567,f2511,f313]) ).
fof(f2511,plain,
( spl6_195
<=> ! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_195])]) ).
fof(f769,plain,
( ! [X0] :
( sz10 = X0
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| sz00 = X0 )
| ~ spl6_51
| ~ spl6_70 ),
inference(duplicate_literal_removal,[],[f757]) ).
fof(f757,plain,
( ! [X0] :
( sz10 = X0
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl6_51
| ~ spl6_70 ),
inference(resolution,[],[f713,f568]) ).
fof(f2498,plain,
( spl6_194
| ~ spl6_163
| ~ spl6_193 ),
inference(avatar_split_clause,[],[f2494,f2491,f2141,f2496]) ).
fof(f2496,plain,
( spl6_194
<=> ! [X0] :
( xn = X0
| iLess0(sz10,X0)
| ~ aNaturalNumber0(X0)
| sz10 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_194])]) ).
fof(f2491,plain,
( spl6_193
<=> ! [X0] :
( iLess0(sz10,X0)
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sz10 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_193])]) ).
fof(f2494,plain,
( ! [X0] :
( xn = X0
| iLess0(sz10,X0)
| ~ aNaturalNumber0(X0)
| sz10 = X0 )
| ~ spl6_163
| ~ spl6_193 ),
inference(forward_demodulation,[],[f2492,f2143]) ).
fof(f2492,plain,
( ! [X0] :
( iLess0(sz10,X0)
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sz10 = X0 )
| ~ spl6_193 ),
inference(avatar_component_clause,[],[f2491]) ).
fof(f2493,plain,
( ~ spl6_10
| spl6_193
| ~ spl6_51
| ~ spl6_68 ),
inference(avatar_split_clause,[],[f744,f702,f567,f2491,f313]) ).
fof(f744,plain,
( ! [X0] :
( iLess0(sz10,X0)
| sz10 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10)
| sz00 = X0 )
| ~ spl6_51
| ~ spl6_68 ),
inference(duplicate_literal_removal,[],[f732]) ).
fof(f732,plain,
( ! [X0] :
( iLess0(sz10,X0)
| sz10 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl6_51
| ~ spl6_68 ),
inference(resolution,[],[f703,f568]) ).
fof(f2489,plain,
( spl6_192
| ~ spl6_50
| ~ spl6_68 ),
inference(avatar_split_clause,[],[f743,f702,f557,f2487]) ).
fof(f2487,plain,
( spl6_192
<=> ! [X0,X1] :
( iLess0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_192])]) ).
fof(f743,plain,
( ! [X0,X1] :
( iLess0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X0) )
| ~ spl6_50
| ~ spl6_68 ),
inference(duplicate_literal_removal,[],[f733]) ).
fof(f733,plain,
( ! [X0,X1] :
( iLess0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_50
| ~ spl6_68 ),
inference(resolution,[],[f703,f558]) ).
fof(f2485,plain,
( spl6_191
| ~ spl6_45
| ~ spl6_49 ),
inference(avatar_split_clause,[],[f555,f539,f485,f2483]) ).
fof(f2483,plain,
( spl6_191
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X1,X0) = sdtasdt0(sz10,sdtasdt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_191])]) ).
fof(f555,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X1,X0) = sdtasdt0(sz10,sdtasdt0(X1,X0)) )
| ~ spl6_45
| ~ spl6_49 ),
inference(resolution,[],[f540,f486]) ).
fof(f2481,plain,
( spl6_190
| ~ spl6_44
| ~ spl6_49 ),
inference(avatar_split_clause,[],[f554,f539,f481,f2479]) ).
fof(f2479,plain,
( spl6_190
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X1,X0) = sdtasdt0(sdtasdt0(X1,X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_190])]) ).
fof(f554,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X1,X0) = sdtasdt0(sdtasdt0(X1,X0),sz10) )
| ~ spl6_44
| ~ spl6_49 ),
inference(resolution,[],[f540,f482]) ).
fof(f2445,plain,
( spl6_189
| ~ spl6_4
| ~ spl6_162
| ~ spl6_181 ),
inference(avatar_split_clause,[],[f2398,f2394,f2137,f283,f2442]) ).
fof(f2442,plain,
( spl6_189
<=> sdtlseqdt0(xr,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_189])]) ).
fof(f2398,plain,
( ~ aNaturalNumber0(xr)
| sdtlseqdt0(xr,xp)
| ~ spl6_162
| ~ spl6_181 ),
inference(resolution,[],[f2395,f2139]) ).
fof(f2440,plain,
( spl6_188
| ~ spl6_42
| ~ spl6_49 ),
inference(avatar_split_clause,[],[f553,f539,f472,f2438]) ).
fof(f2438,plain,
( spl6_188
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X1,X0) = sdtpldt0(sz00,sdtasdt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_188])]) ).
fof(f553,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X1,X0) = sdtpldt0(sz00,sdtasdt0(X1,X0)) )
| ~ spl6_42
| ~ spl6_49 ),
inference(resolution,[],[f540,f473]) ).
fof(f2436,plain,
( spl6_187
| ~ spl6_41
| ~ spl6_49 ),
inference(avatar_split_clause,[],[f552,f539,f468,f2434]) ).
fof(f2434,plain,
( spl6_187
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X1,X0) = sdtpldt0(sdtasdt0(X1,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_187])]) ).
fof(f552,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X1,X0) = sdtpldt0(sdtasdt0(X1,X0),sz00) )
| ~ spl6_41
| ~ spl6_49 ),
inference(resolution,[],[f540,f469]) ).
fof(f2432,plain,
( spl6_186
| ~ spl6_45
| ~ spl6_48 ),
inference(avatar_split_clause,[],[f548,f535,f485,f2430]) ).
fof(f2430,plain,
( spl6_186
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,X0) = sdtasdt0(sz10,sdtpldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_186])]) ).
fof(f548,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,X0) = sdtasdt0(sz10,sdtpldt0(X1,X0)) )
| ~ spl6_45
| ~ spl6_48 ),
inference(resolution,[],[f536,f486]) ).
fof(f2428,plain,
( spl6_185
| ~ spl6_44
| ~ spl6_48 ),
inference(avatar_split_clause,[],[f547,f535,f481,f2426]) ).
fof(f2426,plain,
( spl6_185
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,X0) = sdtasdt0(sdtpldt0(X1,X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_185])]) ).
fof(f547,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,X0) = sdtasdt0(sdtpldt0(X1,X0),sz10) )
| ~ spl6_44
| ~ spl6_48 ),
inference(resolution,[],[f536,f482]) ).
fof(f2424,plain,
( spl6_184
| ~ spl6_42
| ~ spl6_48 ),
inference(avatar_split_clause,[],[f546,f535,f472,f2422]) ).
fof(f2422,plain,
( spl6_184
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,X0) = sdtpldt0(sz00,sdtpldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_184])]) ).
fof(f546,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,X0) = sdtpldt0(sz00,sdtpldt0(X1,X0)) )
| ~ spl6_42
| ~ spl6_48 ),
inference(resolution,[],[f536,f473]) ).
fof(f2420,plain,
( spl6_183
| ~ spl6_41
| ~ spl6_48 ),
inference(avatar_split_clause,[],[f545,f535,f468,f2418]) ).
fof(f2418,plain,
( spl6_183
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,X0) = sdtpldt0(sdtpldt0(X1,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_183])]) ).
fof(f545,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,X0) = sdtpldt0(sdtpldt0(X1,X0),sz00) )
| ~ spl6_41
| ~ spl6_48 ),
inference(resolution,[],[f536,f469]) ).
fof(f2409,plain,
( ~ spl6_7
| ~ spl6_8
| spl6_182
| ~ spl6_20
| ~ spl6_81 ),
inference(avatar_split_clause,[],[f891,f869,f363,f2407,f303,f298]) ).
fof(f363,plain,
( spl6_20
<=> sdtlseqdt0(xm,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_20])]) ).
fof(f891,plain,
( ! [X0] :
( sdtlseqdt0(X0,xp)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) )
| ~ spl6_20
| ~ spl6_81 ),
inference(resolution,[],[f870,f365]) ).
fof(f365,plain,
( sdtlseqdt0(xm,xp)
| ~ spl6_20 ),
inference(avatar_component_clause,[],[f363]) ).
fof(f2396,plain,
( ~ spl6_6
| ~ spl6_8
| spl6_181
| ~ spl6_18
| ~ spl6_81 ),
inference(avatar_split_clause,[],[f890,f869,f353,f2394,f303,f293]) ).
fof(f353,plain,
( spl6_18
<=> sdtlseqdt0(xn,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_18])]) ).
fof(f890,plain,
( ! [X0] :
( sdtlseqdt0(X0,xp)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) )
| ~ spl6_18
| ~ spl6_81 ),
inference(resolution,[],[f870,f355]) ).
fof(f355,plain,
( sdtlseqdt0(xn,xp)
| ~ spl6_18 ),
inference(avatar_component_clause,[],[f353]) ).
fof(f2379,plain,
( ~ spl6_4
| ~ spl6_6
| spl6_180
| ~ spl6_15
| ~ spl6_79 ),
inference(avatar_split_clause,[],[f876,f860,f338,f2377,f293,f283]) ).
fof(f2377,plain,
( spl6_180
<=> ! [X0] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_180])]) ).
fof(f876,plain,
( ! [X0] :
( doDivides0(X0,xn)
| ~ doDivides0(X0,xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0) )
| ~ spl6_15
| ~ spl6_79 ),
inference(resolution,[],[f861,f340]) ).
fof(f2323,plain,
( ~ spl6_9
| spl6_179
| ~ spl6_71
| ~ spl6_130 ),
inference(avatar_split_clause,[],[f1652,f1606,f716,f2320,f308]) ).
fof(f2320,plain,
( spl6_179
<=> doDivides0(sz00,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_179])]) ).
fof(f1606,plain,
( spl6_130
<=> sz00 = sdtasdt0(sz00,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_130])]) ).
fof(f1652,plain,
( doDivides0(sz00,sz00)
| ~ aNaturalNumber0(sz00)
| ~ spl6_71
| ~ spl6_130 ),
inference(duplicate_literal_removal,[],[f1642]) ).
fof(f1642,plain,
( doDivides0(sz00,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz00)
| ~ spl6_71
| ~ spl6_130 ),
inference(superposition,[],[f717,f1608]) ).
fof(f1608,plain,
( sz00 = sdtasdt0(sz00,sz00)
| ~ spl6_130 ),
inference(avatar_component_clause,[],[f1606]) ).
fof(f2304,plain,
( spl6_178
| ~ spl6_27
| ~ spl6_59 ),
inference(avatar_split_clause,[],[f658,f601,f398,f2302]) ).
fof(f2302,plain,
( spl6_178
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sP1(sdtmndt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_178])]) ).
fof(f658,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sP1(sdtmndt0(X1,X0)) )
| ~ spl6_27
| ~ spl6_59 ),
inference(resolution,[],[f602,f399]) ).
fof(f2300,plain,
( spl6_177
| ~ spl6_27
| ~ spl6_58 ),
inference(avatar_split_clause,[],[f649,f597,f398,f2298]) ).
fof(f2298,plain,
( spl6_177
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sP1(sK5(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_177])]) ).
fof(f649,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sP1(sK5(X0,X1)) )
| ~ spl6_27
| ~ spl6_58 ),
inference(resolution,[],[f598,f399]) ).
fof(f2296,plain,
( spl6_176
| ~ spl6_27
| ~ spl6_57 ),
inference(avatar_split_clause,[],[f640,f593,f398,f2294]) ).
fof(f2294,plain,
( spl6_176
<=> ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sP1(sK4(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_176])]) ).
fof(f640,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sP1(sK4(X0,X1)) )
| ~ spl6_27
| ~ spl6_57 ),
inference(resolution,[],[f594,f399]) ).
fof(f2292,plain,
( spl6_175
| ~ spl6_27
| ~ spl6_53 ),
inference(avatar_split_clause,[],[f611,f575,f398,f2290]) ).
fof(f2290,plain,
( spl6_175
<=> ! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sP1(sK3(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_175])]) ).
fof(f611,plain,
( ! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sP1(sK3(X0)) )
| ~ spl6_27
| ~ spl6_53 ),
inference(resolution,[],[f576,f399]) ).
fof(f2288,plain,
( spl6_174
| ~ spl6_27
| ~ spl6_52 ),
inference(avatar_split_clause,[],[f604,f571,f398,f2286]) ).
fof(f2286,plain,
( spl6_174
<=> ! [X0] :
( sP0(X0)
| sz10 = X0
| sz00 = X0
| sP1(sK2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_174])]) ).
fof(f604,plain,
( ! [X0] :
( sP0(X0)
| sz10 = X0
| sz00 = X0
| sP1(sK2(X0)) )
| ~ spl6_27
| ~ spl6_52 ),
inference(resolution,[],[f572,f399]) ).
fof(f2284,plain,
( spl6_173
| ~ spl6_40
| ~ spl6_49 ),
inference(avatar_split_clause,[],[f551,f539,f464,f2282]) ).
fof(f551,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = sdtasdt0(sz00,sdtasdt0(X1,X0)) )
| ~ spl6_40
| ~ spl6_49 ),
inference(resolution,[],[f540,f465]) ).
fof(f2280,plain,
( spl6_172
| ~ spl6_39
| ~ spl6_49 ),
inference(avatar_split_clause,[],[f550,f539,f460,f2278]) ).
fof(f550,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = sdtasdt0(sdtasdt0(X1,X0),sz00) )
| ~ spl6_39
| ~ spl6_49 ),
inference(resolution,[],[f540,f461]) ).
fof(f2276,plain,
( spl6_171
| ~ spl6_40
| ~ spl6_48 ),
inference(avatar_split_clause,[],[f544,f535,f464,f2274]) ).
fof(f544,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = sdtasdt0(sz00,sdtpldt0(X1,X0)) )
| ~ spl6_40
| ~ spl6_48 ),
inference(resolution,[],[f536,f465]) ).
fof(f2272,plain,
( spl6_170
| ~ spl6_39
| ~ spl6_48 ),
inference(avatar_split_clause,[],[f543,f535,f460,f2270]) ).
fof(f543,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = sdtasdt0(sdtpldt0(X1,X0),sz00) )
| ~ spl6_39
| ~ spl6_48 ),
inference(resolution,[],[f536,f461]) ).
fof(f2249,plain,
( ~ spl6_7
| ~ spl6_8
| spl6_169
| ~ spl6_20
| ~ spl6_76 ),
inference(avatar_split_clause,[],[f836,f793,f363,f2246,f303,f298]) ).
fof(f2246,plain,
( spl6_169
<=> xp = sdtpldt0(xm,sdtmndt0(xp,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_169])]) ).
fof(f836,plain,
( xp = sdtpldt0(xm,sdtmndt0(xp,xm))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ spl6_20
| ~ spl6_76 ),
inference(resolution,[],[f794,f365]) ).
fof(f2225,plain,
( ~ spl6_6
| ~ spl6_8
| spl6_168
| ~ spl6_18
| ~ spl6_76 ),
inference(avatar_split_clause,[],[f835,f793,f353,f2222,f303,f293]) ).
fof(f2222,plain,
( spl6_168
<=> xp = sdtpldt0(xn,sdtmndt0(xp,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_168])]) ).
fof(f835,plain,
( xp = sdtpldt0(xn,sdtmndt0(xp,xn))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ spl6_18
| ~ spl6_76 ),
inference(resolution,[],[f794,f355]) ).
fof(f2201,plain,
( ~ spl6_7
| ~ spl6_8
| spl6_167
| ~ spl6_20
| ~ spl6_75 ),
inference(avatar_split_clause,[],[f819,f789,f363,f2198,f303,f298]) ).
fof(f2198,plain,
( spl6_167
<=> xp = sdtpldt0(xm,sK5(xm,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_167])]) ).
fof(f819,plain,
( xp = sdtpldt0(xm,sK5(xm,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ spl6_20
| ~ spl6_75 ),
inference(resolution,[],[f790,f365]) ).
fof(f2177,plain,
( ~ spl6_6
| ~ spl6_8
| spl6_166
| ~ spl6_18
| ~ spl6_75 ),
inference(avatar_split_clause,[],[f818,f789,f353,f2174,f303,f293]) ).
fof(f2174,plain,
( spl6_166
<=> xp = sdtpldt0(xn,sK5(xn,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_166])]) ).
fof(f818,plain,
( xp = sdtpldt0(xn,sK5(xn,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ spl6_18
| ~ spl6_75 ),
inference(resolution,[],[f790,f355]) ).
fof(f2159,plain,
( ~ spl6_4
| ~ spl6_6
| spl6_165
| ~ spl6_15
| ~ spl6_74 ),
inference(avatar_split_clause,[],[f804,f785,f338,f2156,f293,f283]) ).
fof(f2156,plain,
( spl6_165
<=> xn = sdtasdt0(xr,sK4(xr,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_165])]) ).
fof(f804,plain,
( xn = sdtasdt0(xr,sK4(xr,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xr)
| ~ spl6_15
| ~ spl6_74 ),
inference(resolution,[],[f786,f340]) ).
fof(f2154,plain,
( spl6_11
| ~ spl6_164
| ~ spl6_34
| ~ spl6_80 ),
inference(avatar_split_clause,[],[f997,f864,f437,f2151,f318]) ).
fof(f318,plain,
( spl6_11
<=> sP0(sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_11])]) ).
fof(f2151,plain,
( spl6_164
<=> isPrime0(sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_164])]) ).
fof(f864,plain,
( spl6_80
<=> sP1(sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_80])]) ).
fof(f997,plain,
( ~ isPrime0(sz10)
| sP0(sz10)
| ~ spl6_34
| ~ spl6_80 ),
inference(resolution,[],[f866,f438]) ).
fof(f866,plain,
( sP1(sz10)
| ~ spl6_80 ),
inference(avatar_component_clause,[],[f864]) ).
fof(f2144,plain,
( ~ spl6_4
| ~ spl6_6
| spl6_162
| spl6_163
| ~ spl6_15
| ~ spl6_69 ),
inference(avatar_split_clause,[],[f749,f708,f338,f2141,f2137,f293,f283]) ).
fof(f749,plain,
( sz00 = xn
| sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xr)
| ~ spl6_15
| ~ spl6_69 ),
inference(resolution,[],[f709,f340]) ).
fof(f2135,plain,
( ~ spl6_160
| ~ spl6_8
| spl6_21
| spl6_161
| ~ spl6_22
| ~ spl6_68 ),
inference(avatar_split_clause,[],[f739,f702,f373,f2132,f368,f303,f2128]) ).
fof(f2132,plain,
( spl6_161
<=> iLess0(xk,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_161])]) ).
fof(f739,plain,
( iLess0(xk,xp)
| xp = xk
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xk)
| ~ spl6_22
| ~ spl6_68 ),
inference(resolution,[],[f703,f375]) ).
fof(f2126,plain,
( ~ spl6_7
| ~ spl6_8
| spl6_19
| spl6_159
| ~ spl6_20
| ~ spl6_68 ),
inference(avatar_split_clause,[],[f738,f702,f363,f2123,f358,f303,f298]) ).
fof(f358,plain,
( spl6_19
<=> xm = xp ),
introduced(avatar_definition,[new_symbols(naming,[spl6_19])]) ).
fof(f2123,plain,
( spl6_159
<=> iLess0(xm,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_159])]) ).
fof(f738,plain,
( iLess0(xm,xp)
| xm = xp
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ spl6_20
| ~ spl6_68 ),
inference(resolution,[],[f703,f365]) ).
fof(f2121,plain,
( ~ spl6_6
| ~ spl6_8
| spl6_17
| spl6_158
| ~ spl6_18
| ~ spl6_68 ),
inference(avatar_split_clause,[],[f737,f702,f353,f2118,f348,f303,f293]) ).
fof(f348,plain,
( spl6_17
<=> xn = xp ),
introduced(avatar_definition,[new_symbols(naming,[spl6_17])]) ).
fof(f2118,plain,
( spl6_158
<=> iLess0(xn,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_158])]) ).
fof(f737,plain,
( iLess0(xn,xp)
| xn = xp
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ spl6_18
| ~ spl6_68 ),
inference(resolution,[],[f703,f355]) ).
fof(f2116,plain,
( ~ spl6_155
| ~ spl6_4
| spl6_156
| spl6_157
| ~ spl6_16
| ~ spl6_67 ),
inference(avatar_split_clause,[],[f727,f698,f343,f2113,f2109,f283,f2105]) ).
fof(f727,plain,
( sz10 = xr
| xk = xr
| ~ aNaturalNumber0(xr)
| ~ sP0(xk)
| ~ spl6_16
| ~ spl6_67 ),
inference(resolution,[],[f699,f345]) ).
fof(f2003,plain,
( spl6_12
| ~ spl6_154
| ~ spl6_34
| ~ spl6_73 ),
inference(avatar_split_clause,[],[f921,f780,f437,f2000,f323]) ).
fof(f2000,plain,
( spl6_154
<=> isPrime0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_154])]) ).
fof(f780,plain,
( spl6_73
<=> sP1(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_73])]) ).
fof(f921,plain,
( ~ isPrime0(sz00)
| sP0(sz00)
| ~ spl6_34
| ~ spl6_73 ),
inference(resolution,[],[f782,f438]) ).
fof(f782,plain,
( sP1(sz00)
| ~ spl6_73 ),
inference(avatar_component_clause,[],[f780]) ).
fof(f1998,plain,
( spl6_153
| ~ spl6_33
| ~ spl6_76 ),
inference(avatar_split_clause,[],[f844,f793,f433,f1996]) ).
fof(f844,plain,
( ! [X0] :
( sdtpldt0(X0,sdtmndt0(X0,X0)) = X0
| ~ aNaturalNumber0(X0) )
| ~ spl6_33
| ~ spl6_76 ),
inference(duplicate_literal_removal,[],[f828]) ).
fof(f828,plain,
( ! [X0] :
( sdtpldt0(X0,sdtmndt0(X0,X0)) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_33
| ~ spl6_76 ),
inference(resolution,[],[f794,f434]) ).
fof(f1994,plain,
( spl6_152
| ~ spl6_33
| ~ spl6_75 ),
inference(avatar_split_clause,[],[f827,f789,f433,f1992]) ).
fof(f827,plain,
( ! [X0] :
( sdtpldt0(X0,sK5(X0,X0)) = X0
| ~ aNaturalNumber0(X0) )
| ~ spl6_33
| ~ spl6_75 ),
inference(duplicate_literal_removal,[],[f811]) ).
fof(f811,plain,
( ! [X0] :
( sdtpldt0(X0,sK5(X0,X0)) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_33
| ~ spl6_75 ),
inference(resolution,[],[f790,f434]) ).
fof(f1990,plain,
( spl6_151
| ~ spl6_10
| ~ spl6_56 ),
inference(avatar_split_clause,[],[f631,f589,f313,f1988]) ).
fof(f631,plain,
( ! [X0] :
( sdtasdt0(X0,sz10) = sdtasdt0(sz10,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_10
| ~ spl6_56 ),
inference(resolution,[],[f590,f315]) ).
fof(f1986,plain,
( spl6_150
| ~ spl6_9
| ~ spl6_56 ),
inference(avatar_split_clause,[],[f630,f589,f308,f1984]) ).
fof(f630,plain,
( ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sz00,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_9
| ~ spl6_56 ),
inference(resolution,[],[f590,f310]) ).
fof(f1982,plain,
( spl6_149
| ~ spl6_10
| ~ spl6_55 ),
inference(avatar_split_clause,[],[f619,f585,f313,f1980]) ).
fof(f619,plain,
( ! [X0] :
( sdtpldt0(X0,sz10) = sdtpldt0(sz10,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_10
| ~ spl6_55 ),
inference(resolution,[],[f586,f315]) ).
fof(f1978,plain,
( spl6_148
| ~ spl6_9
| ~ spl6_55 ),
inference(avatar_split_clause,[],[f618,f585,f308,f1976]) ).
fof(f618,plain,
( ! [X0] :
( sdtpldt0(X0,sz00) = sdtpldt0(sz00,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_9
| ~ spl6_55 ),
inference(resolution,[],[f586,f310]) ).
fof(f1850,plain,
( spl6_147
| ~ spl6_4
| ~ spl6_56 ),
inference(avatar_split_clause,[],[f637,f589,f283,f1848]) ).
fof(f637,plain,
( ! [X0] :
( sdtasdt0(X0,xr) = sdtasdt0(xr,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_4
| ~ spl6_56 ),
inference(resolution,[],[f590,f285]) ).
fof(f1846,plain,
( spl6_146
| ~ spl6_8
| ~ spl6_56 ),
inference(avatar_split_clause,[],[f636,f589,f303,f1844]) ).
fof(f636,plain,
( ! [X0] :
( sdtasdt0(X0,xp) = sdtasdt0(xp,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_8
| ~ spl6_56 ),
inference(resolution,[],[f590,f305]) ).
fof(f1842,plain,
( spl6_145
| ~ spl6_7
| ~ spl6_56 ),
inference(avatar_split_clause,[],[f635,f589,f298,f1840]) ).
fof(f635,plain,
( ! [X0] :
( sdtasdt0(X0,xm) = sdtasdt0(xm,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_7
| ~ spl6_56 ),
inference(resolution,[],[f590,f300]) ).
fof(f1838,plain,
( spl6_144
| ~ spl6_6
| ~ spl6_56 ),
inference(avatar_split_clause,[],[f634,f589,f293,f1836]) ).
fof(f634,plain,
( ! [X0] :
( sdtasdt0(X0,xn) = sdtasdt0(xn,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_6
| ~ spl6_56 ),
inference(resolution,[],[f590,f295]) ).
fof(f1834,plain,
( spl6_143
| ~ spl6_4
| ~ spl6_55 ),
inference(avatar_split_clause,[],[f625,f585,f283,f1832]) ).
fof(f625,plain,
( ! [X0] :
( sdtpldt0(X0,xr) = sdtpldt0(xr,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_4
| ~ spl6_55 ),
inference(resolution,[],[f586,f285]) ).
fof(f1830,plain,
( spl6_142
| ~ spl6_8
| ~ spl6_55 ),
inference(avatar_split_clause,[],[f624,f585,f303,f1828]) ).
fof(f624,plain,
( ! [X0] :
( sdtpldt0(X0,xp) = sdtpldt0(xp,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_8
| ~ spl6_55 ),
inference(resolution,[],[f586,f305]) ).
fof(f1826,plain,
( spl6_141
| ~ spl6_5
| ~ spl6_34
| ~ spl6_47 ),
inference(avatar_split_clause,[],[f706,f530,f437,f288,f1823]) ).
fof(f288,plain,
( spl6_5
<=> isPrime0(xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_5])]) ).
fof(f530,plain,
( spl6_47
<=> sP1(xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_47])]) ).
fof(f706,plain,
( ~ isPrime0(xr)
| sP0(xr)
| ~ spl6_34
| ~ spl6_47 ),
inference(resolution,[],[f532,f438]) ).
fof(f532,plain,
( sP1(xr)
| ~ spl6_47 ),
inference(avatar_component_clause,[],[f530]) ).
fof(f1821,plain,
( spl6_140
| ~ spl6_7
| ~ spl6_55 ),
inference(avatar_split_clause,[],[f623,f585,f298,f1819]) ).
fof(f623,plain,
( ! [X0] :
( sdtpldt0(X0,xm) = sdtpldt0(xm,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_7
| ~ spl6_55 ),
inference(resolution,[],[f586,f300]) ).
fof(f1817,plain,
( spl6_139
| ~ spl6_6
| ~ spl6_55 ),
inference(avatar_split_clause,[],[f622,f585,f293,f1815]) ).
fof(f622,plain,
( ! [X0] :
( sdtpldt0(X0,xn) = sdtpldt0(xn,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_6
| ~ spl6_55 ),
inference(resolution,[],[f586,f295]) ).
fof(f1775,plain,
( spl6_138
| ~ spl6_27
| ~ spl6_49 ),
inference(avatar_split_clause,[],[f549,f539,f398,f1773]) ).
fof(f1773,plain,
( spl6_138
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sP1(sdtasdt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_138])]) ).
fof(f549,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sP1(sdtasdt0(X1,X0)) )
| ~ spl6_27
| ~ spl6_49 ),
inference(resolution,[],[f540,f399]) ).
fof(f1771,plain,
( spl6_137
| ~ spl6_27
| ~ spl6_48 ),
inference(avatar_split_clause,[],[f542,f535,f398,f1769]) ).
fof(f1769,plain,
( spl6_137
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sP1(sdtpldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_137])]) ).
fof(f542,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sP1(sdtpldt0(X1,X0)) )
| ~ spl6_27
| ~ spl6_48 ),
inference(resolution,[],[f536,f399]) ).
fof(f1639,plain,
( spl6_136
| ~ spl6_10
| ~ spl6_44 ),
inference(avatar_split_clause,[],[f513,f481,f313,f1636]) ).
fof(f513,plain,
( sz10 = sdtasdt0(sz10,sz10)
| ~ spl6_10
| ~ spl6_44 ),
inference(resolution,[],[f482,f315]) ).
fof(f1634,plain,
( spl6_135
| ~ spl6_10
| ~ spl6_42 ),
inference(avatar_split_clause,[],[f507,f472,f313,f1631]) ).
fof(f507,plain,
( sz10 = sdtpldt0(sz00,sz10)
| ~ spl6_10
| ~ spl6_42 ),
inference(resolution,[],[f473,f315]) ).
fof(f1629,plain,
( spl6_134
| ~ spl6_10
| ~ spl6_41 ),
inference(avatar_split_clause,[],[f501,f468,f313,f1626]) ).
fof(f501,plain,
( sz10 = sdtpldt0(sz10,sz00)
| ~ spl6_10
| ~ spl6_41 ),
inference(resolution,[],[f469,f315]) ).
fof(f1624,plain,
( spl6_133
| ~ spl6_9
| ~ spl6_41 ),
inference(avatar_split_clause,[],[f500,f468,f308,f1621]) ).
fof(f500,plain,
( sz00 = sdtpldt0(sz00,sz00)
| ~ spl6_9
| ~ spl6_41 ),
inference(resolution,[],[f469,f310]) ).
fof(f1619,plain,
( spl6_132
| ~ spl6_10
| ~ spl6_40 ),
inference(avatar_split_clause,[],[f495,f464,f313,f1616]) ).
fof(f1616,plain,
( spl6_132
<=> sz00 = sdtasdt0(sz00,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_132])]) ).
fof(f495,plain,
( sz00 = sdtasdt0(sz00,sz10)
| ~ spl6_10
| ~ spl6_40 ),
inference(resolution,[],[f465,f315]) ).
fof(f1614,plain,
( spl6_131
| ~ spl6_10
| ~ spl6_39 ),
inference(avatar_split_clause,[],[f489,f460,f313,f1611]) ).
fof(f489,plain,
( sz00 = sdtasdt0(sz10,sz00)
| ~ spl6_10
| ~ spl6_39 ),
inference(resolution,[],[f461,f315]) ).
fof(f1609,plain,
( spl6_130
| ~ spl6_9
| ~ spl6_39 ),
inference(avatar_split_clause,[],[f488,f460,f308,f1606]) ).
fof(f488,plain,
( sz00 = sdtasdt0(sz00,sz00)
| ~ spl6_9
| ~ spl6_39 ),
inference(resolution,[],[f461,f310]) ).
fof(f1604,plain,
( spl6_129
| ~ spl6_3
| ~ spl6_34
| ~ spl6_43 ),
inference(avatar_split_clause,[],[f692,f476,f437,f278,f1601]) ).
fof(f278,plain,
( spl6_3
<=> isPrime0(xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_3])]) ).
fof(f476,plain,
( spl6_43
<=> sP1(xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_43])]) ).
fof(f692,plain,
( ~ isPrime0(xp)
| sP0(xp)
| ~ spl6_34
| ~ spl6_43 ),
inference(resolution,[],[f478,f438]) ).
fof(f478,plain,
( sP1(xp)
| ~ spl6_43 ),
inference(avatar_component_clause,[],[f476]) ).
fof(f1251,plain,
( spl6_128
| ~ spl6_4
| ~ spl6_45 ),
inference(avatar_split_clause,[],[f523,f485,f283,f1248]) ).
fof(f523,plain,
( xr = sdtasdt0(sz10,xr)
| ~ spl6_4
| ~ spl6_45 ),
inference(resolution,[],[f486,f285]) ).
fof(f1246,plain,
( spl6_127
| ~ spl6_8
| ~ spl6_45 ),
inference(avatar_split_clause,[],[f522,f485,f303,f1243]) ).
fof(f522,plain,
( xp = sdtasdt0(sz10,xp)
| ~ spl6_8
| ~ spl6_45 ),
inference(resolution,[],[f486,f305]) ).
fof(f1241,plain,
( spl6_126
| ~ spl6_7
| ~ spl6_45 ),
inference(avatar_split_clause,[],[f521,f485,f298,f1238]) ).
fof(f521,plain,
( xm = sdtasdt0(sz10,xm)
| ~ spl6_7
| ~ spl6_45 ),
inference(resolution,[],[f486,f300]) ).
fof(f1236,plain,
( spl6_125
| ~ spl6_6
| ~ spl6_45 ),
inference(avatar_split_clause,[],[f520,f485,f293,f1233]) ).
fof(f520,plain,
( xn = sdtasdt0(sz10,xn)
| ~ spl6_6
| ~ spl6_45 ),
inference(resolution,[],[f486,f295]) ).
fof(f1231,plain,
( spl6_124
| ~ spl6_4
| ~ spl6_44 ),
inference(avatar_split_clause,[],[f517,f481,f283,f1228]) ).
fof(f517,plain,
( xr = sdtasdt0(xr,sz10)
| ~ spl6_4
| ~ spl6_44 ),
inference(resolution,[],[f482,f285]) ).
fof(f1226,plain,
( spl6_123
| ~ spl6_8
| ~ spl6_44 ),
inference(avatar_split_clause,[],[f516,f481,f303,f1223]) ).
fof(f516,plain,
( xp = sdtasdt0(xp,sz10)
| ~ spl6_8
| ~ spl6_44 ),
inference(resolution,[],[f482,f305]) ).
fof(f1221,plain,
( spl6_121
| ~ spl6_122
| ~ spl6_35
| ~ spl6_36 ),
inference(avatar_split_clause,[],[f628,f445,f441,f1218,f1214]) ).
fof(f1214,plain,
( spl6_121
<=> isPrime0(xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_121])]) ).
fof(f1218,plain,
( spl6_122
<=> sP0(xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_122])]) ).
fof(f441,plain,
( spl6_35
<=> ! [X0] :
( isPrime0(X0)
| ~ sP0(X0)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_35])]) ).
fof(f445,plain,
( spl6_36
<=> sP1(xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_36])]) ).
fof(f628,plain,
( ~ sP0(xm)
| isPrime0(xm)
| ~ spl6_35
| ~ spl6_36 ),
inference(resolution,[],[f447,f442]) ).
fof(f442,plain,
( ! [X0] :
( ~ sP1(X0)
| ~ sP0(X0)
| isPrime0(X0) )
| ~ spl6_35 ),
inference(avatar_component_clause,[],[f441]) ).
fof(f447,plain,
( sP1(xm)
| ~ spl6_36 ),
inference(avatar_component_clause,[],[f445]) ).
fof(f1212,plain,
( spl6_120
| ~ spl6_7
| ~ spl6_44 ),
inference(avatar_split_clause,[],[f515,f481,f298,f1209]) ).
fof(f515,plain,
( xm = sdtasdt0(xm,sz10)
| ~ spl6_7
| ~ spl6_44 ),
inference(resolution,[],[f482,f300]) ).
fof(f1207,plain,
( spl6_119
| ~ spl6_6
| ~ spl6_44 ),
inference(avatar_split_clause,[],[f514,f481,f293,f1204]) ).
fof(f514,plain,
( xn = sdtasdt0(xn,sz10)
| ~ spl6_6
| ~ spl6_44 ),
inference(resolution,[],[f482,f295]) ).
fof(f1202,plain,
( spl6_118
| ~ spl6_4
| ~ spl6_42 ),
inference(avatar_split_clause,[],[f511,f472,f283,f1199]) ).
fof(f511,plain,
( xr = sdtpldt0(sz00,xr)
| ~ spl6_4
| ~ spl6_42 ),
inference(resolution,[],[f473,f285]) ).
fof(f1197,plain,
( spl6_117
| ~ spl6_8
| ~ spl6_42 ),
inference(avatar_split_clause,[],[f510,f472,f303,f1194]) ).
fof(f510,plain,
( xp = sdtpldt0(sz00,xp)
| ~ spl6_8
| ~ spl6_42 ),
inference(resolution,[],[f473,f305]) ).
fof(f1192,plain,
( spl6_116
| ~ spl6_7
| ~ spl6_42 ),
inference(avatar_split_clause,[],[f509,f472,f298,f1189]) ).
fof(f509,plain,
( xm = sdtpldt0(sz00,xm)
| ~ spl6_7
| ~ spl6_42 ),
inference(resolution,[],[f473,f300]) ).
fof(f1187,plain,
( spl6_115
| ~ spl6_6
| ~ spl6_42 ),
inference(avatar_split_clause,[],[f508,f472,f293,f1184]) ).
fof(f508,plain,
( xn = sdtpldt0(sz00,xn)
| ~ spl6_6
| ~ spl6_42 ),
inference(resolution,[],[f473,f295]) ).
fof(f1182,plain,
( spl6_114
| ~ spl6_4
| ~ spl6_41 ),
inference(avatar_split_clause,[],[f505,f468,f283,f1179]) ).
fof(f505,plain,
( xr = sdtpldt0(xr,sz00)
| ~ spl6_4
| ~ spl6_41 ),
inference(resolution,[],[f469,f285]) ).
fof(f1177,plain,
( spl6_113
| ~ spl6_8
| ~ spl6_41 ),
inference(avatar_split_clause,[],[f504,f468,f303,f1174]) ).
fof(f504,plain,
( xp = sdtpldt0(xp,sz00)
| ~ spl6_8
| ~ spl6_41 ),
inference(resolution,[],[f469,f305]) ).
fof(f1172,plain,
( spl6_112
| ~ spl6_7
| ~ spl6_41 ),
inference(avatar_split_clause,[],[f503,f468,f298,f1169]) ).
fof(f503,plain,
( xm = sdtpldt0(xm,sz00)
| ~ spl6_7
| ~ spl6_41 ),
inference(resolution,[],[f469,f300]) ).
fof(f1167,plain,
( spl6_111
| ~ spl6_6
| ~ spl6_41 ),
inference(avatar_split_clause,[],[f502,f468,f293,f1164]) ).
fof(f502,plain,
( xn = sdtpldt0(xn,sz00)
| ~ spl6_6
| ~ spl6_41 ),
inference(resolution,[],[f469,f295]) ).
fof(f1162,plain,
( spl6_110
| ~ spl6_4
| ~ spl6_40 ),
inference(avatar_split_clause,[],[f499,f464,f283,f1159]) ).
fof(f1159,plain,
( spl6_110
<=> sz00 = sdtasdt0(sz00,xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_110])]) ).
fof(f499,plain,
( sz00 = sdtasdt0(sz00,xr)
| ~ spl6_4
| ~ spl6_40 ),
inference(resolution,[],[f465,f285]) ).
fof(f1157,plain,
( spl6_109
| ~ spl6_8
| ~ spl6_40 ),
inference(avatar_split_clause,[],[f498,f464,f303,f1154]) ).
fof(f1154,plain,
( spl6_109
<=> sz00 = sdtasdt0(sz00,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_109])]) ).
fof(f498,plain,
( sz00 = sdtasdt0(sz00,xp)
| ~ spl6_8
| ~ spl6_40 ),
inference(resolution,[],[f465,f305]) ).
fof(f1152,plain,
( spl6_108
| ~ spl6_7
| ~ spl6_40 ),
inference(avatar_split_clause,[],[f497,f464,f298,f1149]) ).
fof(f497,plain,
( sz00 = sdtasdt0(sz00,xm)
| ~ spl6_7
| ~ spl6_40 ),
inference(resolution,[],[f465,f300]) ).
fof(f1147,plain,
( spl6_107
| ~ spl6_6
| ~ spl6_40 ),
inference(avatar_split_clause,[],[f496,f464,f293,f1144]) ).
fof(f496,plain,
( sz00 = sdtasdt0(sz00,xn)
| ~ spl6_6
| ~ spl6_40 ),
inference(resolution,[],[f465,f295]) ).
fof(f1142,plain,
( spl6_106
| ~ spl6_4
| ~ spl6_39 ),
inference(avatar_split_clause,[],[f493,f460,f283,f1139]) ).
fof(f493,plain,
( sz00 = sdtasdt0(xr,sz00)
| ~ spl6_4
| ~ spl6_39 ),
inference(resolution,[],[f461,f285]) ).
fof(f1137,plain,
( spl6_105
| ~ spl6_8
| ~ spl6_39 ),
inference(avatar_split_clause,[],[f492,f460,f303,f1134]) ).
fof(f492,plain,
( sz00 = sdtasdt0(xp,sz00)
| ~ spl6_8
| ~ spl6_39 ),
inference(resolution,[],[f461,f305]) ).
fof(f1132,plain,
( spl6_104
| ~ spl6_7
| ~ spl6_39 ),
inference(avatar_split_clause,[],[f491,f460,f298,f1129]) ).
fof(f491,plain,
( sz00 = sdtasdt0(xm,sz00)
| ~ spl6_7
| ~ spl6_39 ),
inference(resolution,[],[f461,f300]) ).
fof(f1127,plain,
( spl6_103
| ~ spl6_6
| ~ spl6_39 ),
inference(avatar_split_clause,[],[f490,f460,f293,f1124]) ).
fof(f490,plain,
( sz00 = sdtasdt0(xn,sz00)
| ~ spl6_6
| ~ spl6_39 ),
inference(resolution,[],[f461,f295]) ).
fof(f1122,plain,
spl6_102,
inference(avatar_split_clause,[],[f182,f1120]) ).
fof(f1120,plain,
( spl6_102
<=> ! [X2,X0,X1] :
( doDivides0(X2,X1)
| doDivides0(X2,X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X2,sdtasdt0(X0,X1))
| ~ isPrime0(X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_102])]) ).
fof(f182,plain,
! [X2,X0,X1] :
( doDivides0(X2,X1)
| doDivides0(X2,X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X2,sdtasdt0(X0,X1))
| ~ isPrime0(X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0,X1,X2] :
( doDivides0(X2,X1)
| doDivides0(X2,X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X2,sdtasdt0(X0,X1))
| ~ isPrime0(X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f62]) ).
fof(f62,plain,
! [X0,X1,X2] :
( doDivides0(X2,X1)
| doDivides0(X2,X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X2,sdtasdt0(X0,X1))
| ~ isPrime0(X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X2,sdtasdt0(X0,X1))
& isPrime0(X2) )
=> ( iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
=> ( doDivides0(X2,X1)
| doDivides0(X2,X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1799) ).
fof(f1102,plain,
spl6_101,
inference(avatar_split_clause,[],[f261,f1100]) ).
fof(f261,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,[],[f231]) ).
fof(f231,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,[],[f142]) ).
fof(f142,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,[],[f141]) ).
fof(f141,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,[],[f101]) ).
fof(f101,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,[],[f100]) ).
fof(f100,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(f1098,plain,
spl6_100,
inference(avatar_split_clause,[],[f228,f1096]) ).
fof(f228,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,[],[f99]) ).
fof(f99,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,[],[f98]) ).
fof(f98,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(f1084,plain,
spl6_99,
inference(avatar_split_clause,[],[f247,f1082]) ).
fof(f247,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,[],[f117]) ).
fof(f117,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,[],[f116]) ).
fof(f116,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(f1080,plain,
spl6_98,
inference(avatar_split_clause,[],[f245,f1078]) ).
fof(f245,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,[],[f117]) ).
fof(f1068,plain,
spl6_97,
inference(avatar_split_clause,[],[f258,f1066]) ).
fof(f258,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,[],[f219]) ).
fof(f219,plain,
! [X2,X0,X1] :
( sdtmndt0(X1,X0) = X2
| sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,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,[],[f139]) ).
fof(f139,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,[],[f89]) ).
fof(f89,plain,
! [X0,X1] :
( ! [X2] :
( sdtmndt0(X1,X0) = X2
<=> ( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f88]) ).
fof(f88,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(f1064,plain,
( spl6_95
| ~ spl6_96
| ~ spl6_30
| ~ spl6_35 ),
inference(avatar_split_clause,[],[f582,f441,f418,f1061,f1057]) ).
fof(f1057,plain,
( spl6_95
<=> isPrime0(xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_95])]) ).
fof(f1061,plain,
( spl6_96
<=> sP0(xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_96])]) ).
fof(f418,plain,
( spl6_30
<=> sP1(xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_30])]) ).
fof(f582,plain,
( ~ sP0(xn)
| isPrime0(xn)
| ~ spl6_30
| ~ spl6_35 ),
inference(resolution,[],[f420,f442]) ).
fof(f420,plain,
( sP1(xn)
| ~ spl6_30 ),
inference(avatar_component_clause,[],[f418]) ).
fof(f1013,plain,
spl6_94,
inference(avatar_split_clause,[],[f243,f1011]) ).
fof(f243,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,[],[f115]) ).
fof(f115,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,[],[f114]) ).
fof(f114,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(f1009,plain,
spl6_93,
inference(avatar_split_clause,[],[f242,f1007]) ).
fof(f242,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,[],[f115]) ).
fof(f1005,plain,
spl6_92,
inference(avatar_split_clause,[],[f227,f1003]) ).
fof(f227,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,[],[f97]) ).
fof(f97,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,[],[f96]) ).
fof(f96,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(f1001,plain,
spl6_91,
inference(avatar_split_clause,[],[f225,f999]) ).
fof(f225,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,[],[f97]) ).
fof(f995,plain,
spl6_90,
inference(avatar_split_clause,[],[f196,f993]) ).
fof(f993,plain,
( spl6_90
<=> ! [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_90])]) ).
fof(f196,plain,
! [X2,X0,X1] :
( X1 = X2
| sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,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,[],[f70]) ).
fof(f70,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(f991,plain,
spl6_89,
inference(avatar_split_clause,[],[f195,f989]) ).
fof(f989,plain,
( spl6_89
<=> ! [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_89])]) ).
fof(f195,plain,
! [X2,X0,X1] :
( X1 = X2
| sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f933,plain,
spl6_88,
inference(avatar_split_clause,[],[f262,f931]) ).
fof(f262,plain,
! [X0,X1] :
( sdtasdt0(X0,sdtsldt0(X1,X0)) = X1
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f230]) ).
fof(f230,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X2) = X1
| sdtsldt0(X1,X0) != X2
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f929,plain,
spl6_87,
inference(avatar_split_clause,[],[f250,f927]) ).
fof(f250,plain,
! [X2,X0,X1] :
( doDivides0(X0,X2)
| ~ doDivides0(X0,sdtpldt0(X1,X2))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0,X1,X2] :
( doDivides0(X0,X2)
| ~ doDivides0(X0,sdtpldt0(X1,X2))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f122]) ).
fof(f122,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(f925,plain,
spl6_86,
inference(avatar_split_clause,[],[f249,f923]) ).
fof(f249,plain,
! [X2,X0,X1] :
( doDivides0(X0,sdtpldt0(X1,X2))
| ~ doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0,X1,X2] :
( doDivides0(X0,sdtpldt0(X1,X2))
| ~ doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f120]) ).
fof(f120,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(f919,plain,
spl6_85,
inference(avatar_split_clause,[],[f241,f917]) ).
fof(f241,plain,
! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0,X1,X2] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f112]) ).
fof(f112,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(f915,plain,
spl6_84,
inference(avatar_split_clause,[],[f240,f913]) ).
fof(f240,plain,
! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0,X1,X2] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f110]) ).
fof(f110,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(f907,plain,
spl6_83,
inference(avatar_split_clause,[],[f253,f905]) ).
fof(f905,plain,
( spl6_83
<=> ! [X2,X0,X1] :
( X1 = X2
| sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_83])]) ).
fof(f253,plain,
! [X2,X0,X1] :
( X1 = X2
| sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,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,[],[f126]) ).
fof(f126,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(f903,plain,
spl6_82,
inference(avatar_split_clause,[],[f252,f901]) ).
fof(f901,plain,
( spl6_82
<=> ! [X2,X0,X1] :
( X1 = X2
| sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_82])]) ).
fof(f252,plain,
! [X2,X0,X1] :
( X1 = X2
| sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f871,plain,
spl6_81,
inference(avatar_split_clause,[],[f251,f869]) ).
fof(f251,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f124]) ).
fof(f124,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(f867,plain,
( spl6_80
| ~ spl6_10
| ~ spl6_27 ),
inference(avatar_split_clause,[],[f402,f398,f313,f864]) ).
fof(f402,plain,
( sP1(sz10)
| ~ spl6_10
| ~ spl6_27 ),
inference(resolution,[],[f399,f315]) ).
fof(f862,plain,
spl6_79,
inference(avatar_split_clause,[],[f248,f860]) ).
fof(f248,plain,
! [X2,X0,X1] :
( doDivides0(X0,X2)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0,X1,X2] :
( doDivides0(X0,X2)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f118]) ).
fof(f118,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(f858,plain,
spl6_78,
inference(avatar_split_clause,[],[f222,f856]) ).
fof(f856,plain,
( spl6_78
<=> ! [X0,X1] :
( sz00 = X1
| sz00 = X0
| sz00 != sdtasdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_78])]) ).
fof(f222,plain,
! [X0,X1] :
( sz00 = X1
| sz00 = X0
| sz00 != sdtasdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0,X1] :
( sz00 = X1
| sz00 = X0
| sz00 != sdtasdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f92]) ).
fof(f92,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(f799,plain,
spl6_77,
inference(avatar_split_clause,[],[f263,f797]) ).
fof(f263,plain,
! [X0,X1] :
( aNaturalNumber0(sdtsldt0(X1,X0))
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f229]) ).
fof(f229,plain,
! [X2,X0,X1] :
( aNaturalNumber0(X2)
| sdtsldt0(X1,X0) != X2
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f795,plain,
spl6_76,
inference(avatar_split_clause,[],[f259,f793]) ).
fof(f259,plain,
! [X0,X1] :
( sdtpldt0(X0,sdtmndt0(X1,X0)) = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f218]) ).
fof(f218,plain,
! [X2,X0,X1] :
( sdtpldt0(X0,X2) = X1
| sdtmndt0(X1,X0) != X2
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f140]) ).
fof(f791,plain,
spl6_75,
inference(avatar_split_clause,[],[f238,f789]) ).
fof(f238,plain,
! [X0,X1] :
( sdtpldt0(X0,sK5(X0,X1)) = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f150]) ).
fof(f150,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])],[f148,f149]) ).
fof(f149,plain,
! [X0,X1] :
( ? [X3] :
( sdtpldt0(X0,X3) = X1
& aNaturalNumber0(X3) )
=> ( sdtpldt0(X0,sK5(X0,X1)) = X1
& aNaturalNumber0(sK5(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f148,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,[],[f147]) ).
fof(f147,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,[],[f109]) ).
fof(f109,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f108]) ).
fof(f108,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(f787,plain,
spl6_74,
inference(avatar_split_clause,[],[f235,f785]) ).
fof(f235,plain,
! [X0,X1] :
( sdtasdt0(X0,sK4(X0,X1)) = X1
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,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])],[f144,f145]) ).
fof(f145,plain,
! [X0,X1] :
( ? [X3] :
( sdtasdt0(X0,X3) = X1
& aNaturalNumber0(X3) )
=> ( sdtasdt0(X0,sK4(X0,X1)) = X1
& aNaturalNumber0(sK4(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f144,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,[],[f143]) ).
fof(f143,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,[],[f107]) ).
fof(f107,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f106]) ).
fof(f106,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(f783,plain,
( spl6_73
| ~ spl6_9
| ~ spl6_27 ),
inference(avatar_split_clause,[],[f401,f398,f308,f780]) ).
fof(f401,plain,
( sP1(sz00)
| ~ spl6_9
| ~ spl6_27 ),
inference(resolution,[],[f399,f310]) ).
fof(f722,plain,
spl6_72,
inference(avatar_split_clause,[],[f265,f720]) ).
fof(f265,plain,
! [X2,X0] :
( sdtlseqdt0(X0,sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f239]) ).
fof(f239,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f150]) ).
fof(f718,plain,
spl6_71,
inference(avatar_split_clause,[],[f264,f716]) ).
fof(f264,plain,
! [X2,X0] :
( doDivides0(X0,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f236]) ).
fof(f236,plain,
! [X2,X0,X1] :
( doDivides0(X0,X1)
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f714,plain,
spl6_70,
inference(avatar_split_clause,[],[f233,f712]) ).
fof(f233,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f104]) ).
fof(f104,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(f710,plain,
spl6_69,
inference(avatar_split_clause,[],[f232,f708]) ).
fof(f232,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sz00 = X1
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sz00 = X1
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f102]) ).
fof(f102,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(f704,plain,
spl6_68,
inference(avatar_split_clause,[],[f223,f702]) ).
fof(f223,plain,
! [X0,X1] :
( iLess0(X0,X1)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0,X1] :
( iLess0(X0,X1)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f94]) ).
fof(f94,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(f700,plain,
spl6_67,
inference(avatar_split_clause,[],[f201,f698]) ).
fof(f201,plain,
! [X2,X0] :
( X0 = X2
| sz10 = X2
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(X2)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f136,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])],[f134,f135]) ).
fof(f135,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(f134,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,[],[f133]) ).
fof(f133,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,[],[f132]) ).
fof(f132,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,[],[f128]) ).
fof(f128,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(f696,plain,
spl6_66,
inference(avatar_split_clause,[],[f221,f694]) ).
fof(f694,plain,
( spl6_66
<=> ! [X0,X1] :
( sz00 = X1
| sz00 != sdtpldt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_66])]) ).
fof(f221,plain,
! [X0,X1] :
( sz00 = X1
| sz00 != sdtpldt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0,X1] :
( ( sz00 = X1
& sz00 = X0 )
| sz00 != sdtpldt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f90]) ).
fof(f90,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(f690,plain,
spl6_65,
inference(avatar_split_clause,[],[f220,f688]) ).
fof(f688,plain,
( spl6_65
<=> ! [X0,X1] :
( sz00 = X0
| sz00 != sdtpldt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_65])]) ).
fof(f220,plain,
! [X0,X1] :
( sz00 = X0
| sz00 != sdtpldt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f91]) ).
fof(f686,plain,
spl6_64,
inference(avatar_split_clause,[],[f216,f684]) ).
fof(f216,plain,
! [X0,X1] :
( sdtlseqdt0(X1,sdtasdt0(X1,X0))
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0,X1] :
( sdtlseqdt0(X1,sdtasdt0(X1,X0))
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f86]) ).
fof(f86,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(f682,plain,
spl6_63,
inference(avatar_split_clause,[],[f208,f680]) ).
fof(f208,plain,
! [X0] :
( doDivides0(sK3(X0),X0)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f138,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])],[f75,f137]) ).
fof(f137,plain,
! [X0] :
( ? [X1] :
( isPrime0(X1)
& doDivides0(X1,X0)
& aNaturalNumber0(X1) )
=> ( isPrime0(sK3(X0))
& doDivides0(sK3(X0),X0)
& aNaturalNumber0(sK3(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f75,plain,
! [X0] :
( ? [X1] :
( isPrime0(X1)
& doDivides0(X1,X0)
& aNaturalNumber0(X1) )
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f74]) ).
fof(f74,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(f678,plain,
spl6_62,
inference(avatar_split_clause,[],[f205,f676]) ).
fof(f676,plain,
( spl6_62
<=> ! [X0] :
( sP0(X0)
| sK2(X0) != X0
| sz10 = X0
| sz00 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_62])]) ).
fof(f205,plain,
! [X0] :
( sP0(X0)
| sK2(X0) != X0
| sz10 = X0
| sz00 = X0 ),
inference(cnf_transformation,[],[f136]) ).
fof(f674,plain,
spl6_61,
inference(avatar_split_clause,[],[f204,f672]) ).
fof(f672,plain,
( spl6_61
<=> ! [X0] :
( sP0(X0)
| sz10 != sK2(X0)
| sz10 = X0
| sz00 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_61])]) ).
fof(f204,plain,
! [X0] :
( sP0(X0)
| sz10 != sK2(X0)
| sz10 = X0
| sz00 = X0 ),
inference(cnf_transformation,[],[f136]) ).
fof(f670,plain,
spl6_60,
inference(avatar_split_clause,[],[f203,f668]) ).
fof(f203,plain,
! [X0] :
( sP0(X0)
| doDivides0(sK2(X0),X0)
| sz10 = X0
| sz00 = X0 ),
inference(cnf_transformation,[],[f136]) ).
fof(f603,plain,
spl6_59,
inference(avatar_split_clause,[],[f260,f601]) ).
fof(f260,plain,
! [X0,X1] :
( aNaturalNumber0(sdtmndt0(X1,X0))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f217]) ).
fof(f217,plain,
! [X2,X0,X1] :
( aNaturalNumber0(X2)
| sdtmndt0(X1,X0) != X2
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f140]) ).
fof(f599,plain,
spl6_58,
inference(avatar_split_clause,[],[f237,f597]) ).
fof(f237,plain,
! [X0,X1] :
( aNaturalNumber0(sK5(X0,X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f150]) ).
fof(f595,plain,
spl6_57,
inference(avatar_split_clause,[],[f234,f593]) ).
fof(f234,plain,
! [X0,X1] :
( aNaturalNumber0(sK4(X0,X1))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f591,plain,
spl6_56,
inference(avatar_split_clause,[],[f213,f589]) ).
fof(f213,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f82]) ).
fof(f82,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(f587,plain,
spl6_55,
inference(avatar_split_clause,[],[f212,f585]) ).
fof(f212,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f80]) ).
fof(f80,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(f581,plain,
spl6_54,
inference(avatar_split_clause,[],[f209,f579]) ).
fof(f579,plain,
( spl6_54
<=> ! [X0] :
( isPrime0(sK3(X0))
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_54])]) ).
fof(f209,plain,
! [X0] :
( isPrime0(sK3(X0))
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f577,plain,
spl6_53,
inference(avatar_split_clause,[],[f207,f575]) ).
fof(f207,plain,
! [X0] :
( aNaturalNumber0(sK3(X0))
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f573,plain,
spl6_52,
inference(avatar_split_clause,[],[f202,f571]) ).
fof(f202,plain,
! [X0] :
( sP0(X0)
| aNaturalNumber0(sK2(X0))
| sz10 = X0
| sz00 = X0 ),
inference(cnf_transformation,[],[f136]) ).
fof(f569,plain,
spl6_51,
inference(avatar_split_clause,[],[f194,f567]) ).
fof(f194,plain,
! [X0] :
( sdtlseqdt0(sz10,X0)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0] :
( ( sdtlseqdt0(sz10,X0)
& sz10 != X0 )
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f68]) ).
fof(f68,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(f559,plain,
spl6_50,
inference(avatar_split_clause,[],[f215,f557]) ).
fof(f215,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0,X1] :
( ( sdtlseqdt0(X1,X0)
& X0 != X1 )
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f84]) ).
fof(f84,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(f541,plain,
spl6_49,
inference(avatar_split_clause,[],[f211,f539]) ).
fof(f211,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f78]) ).
fof(f78,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(f537,plain,
spl6_48,
inference(avatar_split_clause,[],[f210,f535]) ).
fof(f210,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f76]) ).
fof(f76,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(f533,plain,
( spl6_47
| ~ spl6_4
| ~ spl6_27 ),
inference(avatar_split_clause,[],[f406,f398,f283,f530]) ).
fof(f406,plain,
( sP1(xr)
| ~ spl6_4
| ~ spl6_27 ),
inference(resolution,[],[f399,f285]) ).
fof(f528,plain,
( spl6_46
| spl6_2 ),
inference(avatar_split_clause,[],[f179,f273,f525]) ).
fof(f273,plain,
( spl6_2
<=> doDivides0(xp,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).
fof(f179,plain,
( doDivides0(xp,xm)
| doDivides0(xp,sdtsldt0(xn,xr)) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,axiom,
( doDivides0(xp,xm)
| doDivides0(xp,sdtsldt0(xn,xr)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2645) ).
fof(f487,plain,
spl6_45,
inference(avatar_split_clause,[],[f192,f485]) ).
fof(f192,plain,
! [X0] :
( sdtasdt0(sz10,X0) = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,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(f483,plain,
spl6_44,
inference(avatar_split_clause,[],[f191,f481]) ).
fof(f191,plain,
! [X0] :
( sdtasdt0(X0,sz10) = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f479,plain,
( spl6_43
| ~ spl6_8
| ~ spl6_27 ),
inference(avatar_split_clause,[],[f405,f398,f303,f476]) ).
fof(f405,plain,
( sP1(xp)
| ~ spl6_8
| ~ spl6_27 ),
inference(resolution,[],[f399,f305]) ).
fof(f474,plain,
spl6_42,
inference(avatar_split_clause,[],[f190,f472]) ).
fof(f190,plain,
! [X0] :
( sdtpldt0(sz00,X0) = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,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(f470,plain,
spl6_41,
inference(avatar_split_clause,[],[f189,f468]) ).
fof(f189,plain,
! [X0] :
( sdtpldt0(X0,sz00) = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f466,plain,
spl6_40,
inference(avatar_split_clause,[],[f188,f464]) ).
fof(f188,plain,
! [X0] :
( sz00 = sdtasdt0(sz00,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,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(f462,plain,
spl6_39,
inference(avatar_split_clause,[],[f187,f460]) ).
fof(f187,plain,
! [X0] :
( sz00 = sdtasdt0(X0,sz00)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f458,plain,
spl6_38,
inference(avatar_split_clause,[],[f157,f455]) ).
fof(f157,plain,
doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)),
inference(cnf_transformation,[],[f54]) ).
fof(f54,axiom,
doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2529) ).
fof(f453,plain,
spl6_37,
inference(avatar_split_clause,[],[f156,f450]) ).
fof(f156,plain,
xk = sdtsldt0(sdtasdt0(xn,xm),xp),
inference(cnf_transformation,[],[f45]) ).
fof(f45,axiom,
xk = sdtsldt0(sdtasdt0(xn,xm),xp),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2306) ).
fof(f448,plain,
( spl6_36
| ~ spl6_7
| ~ spl6_27 ),
inference(avatar_split_clause,[],[f404,f398,f298,f445]) ).
fof(f404,plain,
( sP1(xm)
| ~ spl6_7
| ~ spl6_27 ),
inference(resolution,[],[f399,f300]) ).
fof(f443,plain,
spl6_35,
inference(avatar_split_clause,[],[f198,f441]) ).
fof(f198,plain,
! [X0] :
( isPrime0(X0)
| ~ sP0(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0] :
( ( ( isPrime0(X0)
| ~ sP0(X0) )
& ( sP0(X0)
| ~ isPrime0(X0) ) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0] :
( ( isPrime0(X0)
<=> sP0(X0) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f439,plain,
spl6_34,
inference(avatar_split_clause,[],[f197,f437]) ).
fof(f197,plain,
! [X0] :
( sP0(X0)
| ~ isPrime0(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f435,plain,
spl6_33,
inference(avatar_split_clause,[],[f186,f433]) ).
fof(f186,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,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(f431,plain,
spl6_32,
inference(avatar_split_clause,[],[f177,f428]) ).
fof(f177,plain,
sdtlseqdt0(sdtsldt0(xn,xr),xn),
inference(cnf_transformation,[],[f53]) ).
fof(f53,axiom,
( sdtlseqdt0(sdtsldt0(xn,xr),xn)
& xn != sdtsldt0(xn,xr) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2504) ).
fof(f426,plain,
~ spl6_31,
inference(avatar_split_clause,[],[f176,f423]) ).
fof(f176,plain,
xn != sdtsldt0(xn,xr),
inference(cnf_transformation,[],[f53]) ).
fof(f421,plain,
( spl6_30
| ~ spl6_6
| ~ spl6_27 ),
inference(avatar_split_clause,[],[f403,f398,f293,f418]) ).
fof(f403,plain,
( sP1(xn)
| ~ spl6_6
| ~ spl6_27 ),
inference(resolution,[],[f399,f295]) ).
fof(f416,plain,
spl6_29,
inference(avatar_split_clause,[],[f175,f413]) ).
fof(f175,plain,
doDivides0(xr,sdtasdt0(xn,xm)),
inference(cnf_transformation,[],[f49]) ).
fof(f49,axiom,
( doDivides0(xr,sdtasdt0(xn,xm))
& sdtlseqdt0(xr,xk) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2362) ).
fof(f411,plain,
spl6_28,
inference(avatar_split_clause,[],[f159,f408]) ).
fof(f159,plain,
doDivides0(xp,sdtasdt0(xn,xm)),
inference(cnf_transformation,[],[f41]) ).
fof(f41,axiom,
( doDivides0(xp,sdtasdt0(xn,xm))
& isPrime0(xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1860) ).
fof(f400,plain,
spl6_27,
inference(avatar_split_clause,[],[f206,f398]) ).
fof(f206,plain,
! [X0] :
( sP1(X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0] :
( sP1(X0)
| ~ aNaturalNumber0(X0) ),
inference(definition_folding,[],[f73,f129,f128]) ).
fof(f73,plain,
! [X0] :
( ( isPrime0(X0)
<=> ( ! [X1] :
( X0 = X1
| sz10 = X1
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1) )
& sz10 != X0
& sz00 != X0 ) )
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f72]) ).
fof(f72,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(f396,plain,
~ spl6_26,
inference(avatar_split_clause,[],[f185,f393]) ).
fof(f185,plain,
sz00 != sz10,
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( sz00 != sz10
& aNaturalNumber0(sz10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC_01) ).
fof(f391,plain,
spl6_25,
inference(avatar_split_clause,[],[f174,f388]) ).
fof(f174,plain,
sdtlseqdt0(xr,xk),
inference(cnf_transformation,[],[f49]) ).
fof(f386,plain,
~ spl6_24,
inference(avatar_split_clause,[],[f173,f383]) ).
fof(f383,plain,
( spl6_24
<=> sz10 = xk ),
introduced(avatar_definition,[new_symbols(naming,[spl6_24])]) ).
fof(f173,plain,
sz10 != xk,
inference(cnf_transformation,[],[f47]) ).
fof(f47,axiom,
( sz10 != xk
& sz00 != xk ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2327) ).
fof(f381,plain,
~ spl6_23,
inference(avatar_split_clause,[],[f172,f378]) ).
fof(f172,plain,
sz00 != xk,
inference(cnf_transformation,[],[f47]) ).
fof(f376,plain,
spl6_22,
inference(avatar_split_clause,[],[f171,f373]) ).
fof(f171,plain,
sdtlseqdt0(xk,xp),
inference(cnf_transformation,[],[f50]) ).
fof(f50,axiom,
( sdtlseqdt0(xk,xp)
& xp != xk ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2377) ).
fof(f371,plain,
~ spl6_21,
inference(avatar_split_clause,[],[f170,f368]) ).
fof(f170,plain,
xp != xk,
inference(cnf_transformation,[],[f50]) ).
fof(f366,plain,
spl6_20,
inference(avatar_split_clause,[],[f169,f363]) ).
fof(f169,plain,
sdtlseqdt0(xm,xp),
inference(cnf_transformation,[],[f44]) ).
fof(f44,axiom,
( sdtlseqdt0(xm,xp)
& xm != xp
& sdtlseqdt0(xn,xp)
& xn != xp ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2287) ).
fof(f361,plain,
~ spl6_19,
inference(avatar_split_clause,[],[f168,f358]) ).
fof(f168,plain,
xm != xp,
inference(cnf_transformation,[],[f44]) ).
fof(f356,plain,
spl6_18,
inference(avatar_split_clause,[],[f167,f353]) ).
fof(f167,plain,
sdtlseqdt0(xn,xp),
inference(cnf_transformation,[],[f44]) ).
fof(f351,plain,
~ spl6_17,
inference(avatar_split_clause,[],[f166,f348]) ).
fof(f166,plain,
xn != xp,
inference(cnf_transformation,[],[f44]) ).
fof(f346,plain,
spl6_16,
inference(avatar_split_clause,[],[f161,f343]) ).
fof(f161,plain,
doDivides0(xr,xk),
inference(cnf_transformation,[],[f48]) ).
fof(f48,axiom,
( isPrime0(xr)
& doDivides0(xr,xk)
& aNaturalNumber0(xr) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2342) ).
fof(f341,plain,
spl6_15,
inference(avatar_split_clause,[],[f155,f338]) ).
fof(f155,plain,
doDivides0(xr,xn),
inference(cnf_transformation,[],[f52]) ).
fof(f52,axiom,
doDivides0(xr,xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2487) ).
fof(f336,plain,
~ spl6_14,
inference(avatar_split_clause,[],[f154,f333]) ).
fof(f154,plain,
~ sdtlseqdt0(xp,xn),
inference(cnf_transformation,[],[f42]) ).
fof(f42,axiom,
~ sdtlseqdt0(xp,xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1870) ).
fof(f331,plain,
~ spl6_13,
inference(avatar_split_clause,[],[f153,f328]) ).
fof(f328,plain,
( spl6_13
<=> sdtlseqdt0(xp,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_13])]) ).
fof(f153,plain,
~ sdtlseqdt0(xp,xm),
inference(cnf_transformation,[],[f43]) ).
fof(f43,axiom,
~ sdtlseqdt0(xp,xm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2075) ).
fof(f326,plain,
~ spl6_12,
inference(avatar_split_clause,[],[f256,f323]) ).
fof(f256,plain,
~ sP0(sz00),
inference(equality_resolution,[],[f199]) ).
fof(f199,plain,
! [X0] :
( sz00 != X0
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f321,plain,
~ spl6_11,
inference(avatar_split_clause,[],[f255,f318]) ).
fof(f255,plain,
~ sP0(sz10),
inference(equality_resolution,[],[f200]) ).
fof(f200,plain,
! [X0] :
( sz10 != X0
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f316,plain,
spl6_10,
inference(avatar_split_clause,[],[f184,f313]) ).
fof(f184,plain,
aNaturalNumber0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f311,plain,
spl6_9,
inference(avatar_split_clause,[],[f183,f308]) ).
fof(f183,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).
fof(f306,plain,
spl6_8,
inference(avatar_split_clause,[],[f165,f303]) ).
fof(f165,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
( aNaturalNumber0(xp)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).
fof(f301,plain,
spl6_7,
inference(avatar_split_clause,[],[f164,f298]) ).
fof(f164,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f39]) ).
fof(f296,plain,
spl6_6,
inference(avatar_split_clause,[],[f163,f293]) ).
fof(f163,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f39]) ).
fof(f291,plain,
spl6_5,
inference(avatar_split_clause,[],[f162,f288]) ).
fof(f162,plain,
isPrime0(xr),
inference(cnf_transformation,[],[f48]) ).
fof(f286,plain,
spl6_4,
inference(avatar_split_clause,[],[f160,f283]) ).
fof(f160,plain,
aNaturalNumber0(xr),
inference(cnf_transformation,[],[f48]) ).
fof(f281,plain,
spl6_3,
inference(avatar_split_clause,[],[f158,f278]) ).
fof(f158,plain,
isPrime0(xp),
inference(cnf_transformation,[],[f41]) ).
fof(f276,plain,
~ spl6_2,
inference(avatar_split_clause,[],[f152,f273]) ).
fof(f152,plain,
~ doDivides0(xp,xm),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
( ~ doDivides0(xp,xm)
& ~ doDivides0(xp,xn) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,negated_conjecture,
~ ( doDivides0(xp,xm)
| doDivides0(xp,xn) ),
inference(negated_conjecture,[],[f56]) ).
fof(f56,conjecture,
( doDivides0(xp,xm)
| doDivides0(xp,xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f271,plain,
~ spl6_1,
inference(avatar_split_clause,[],[f151,f268]) ).
fof(f268,plain,
( spl6_1
<=> doDivides0(xp,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).
fof(f151,plain,
~ doDivides0(xp,xn),
inference(cnf_transformation,[],[f60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : NUM518+1 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n020.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon Apr 29 23:34:47 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (28521)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (28524)WARNING: value z3 for option sas not known
% 0.15/0.38 % (28524)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)
% 0.15/0.38 % (28522)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (28525)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (28526)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)
% 0.15/0.38 % (28527)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)
% 0.15/0.38 % (28523)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (28528)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)
% 0.15/0.39 Detected minimum model sizes of [3]
% 0.15/0.39 Detected maximum model sizes of [max]
% 0.15/0.39 Detected minimum model sizes of [3]
% 0.15/0.39 Detected maximum model sizes of [max]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [3]
% 0.15/0.40 TRYING [4]
% 0.23/0.41 TRYING [4]
% 0.23/0.48 TRYING [5]
% 0.23/0.50 TRYING [5]
% 1.77/0.62 TRYING [6]
% 2.09/0.68 TRYING [6]
% 2.77/0.76 Detected minimum model sizes of [3]
% 2.77/0.76 Detected maximum model sizes of [max]
% 2.77/0.76 TRYING [3]
% 2.77/0.76 TRYING [4]
% 3.15/0.81 TRYING [5]
% 4.17/0.99 TRYING [6]
% 4.17/1.02 TRYING [7]
% 4.85/1.06 % (28526)First to succeed.
% 4.85/1.08 % (28526)Refutation found. Thanks to Tanya!
% 4.85/1.08 % SZS status Theorem for theBenchmark
% 4.85/1.08 % SZS output start Proof for theBenchmark
% See solution above
% 4.85/1.09 % (28526)------------------------------
% 4.85/1.09 % (28526)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 4.85/1.09 % (28526)Termination reason: Refutation
% 4.85/1.09
% 4.85/1.09 % (28526)Memory used [KB]: 12298
% 4.85/1.09 % (28526)Time elapsed: 0.695 s
% 4.85/1.09 % (28526)Instructions burned: 1773 (million)
% 4.85/1.09 % (28526)------------------------------
% 4.85/1.09 % (28526)------------------------------
% 4.85/1.09 % (28521)Success in time 0.714 s
%------------------------------------------------------------------------------