TSTP Solution File: NUM463+2 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM463+2 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 01:59:11 EDT 2024
% Result : Theorem 5.99s 1.20s
% Output : Refutation 6.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 668
% Syntax : Number of formulae : 2406 ( 53 unt; 0 def)
% Number of atoms : 10791 (2105 equ)
% Maximal formula atoms : 13 ( 4 avg)
% Number of connectives : 15408 (7023 ~;7606 |; 95 &)
% ( 646 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 644 ( 642 usr; 641 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 2549 (2541 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f18401,plain,
$false,
inference(avatar_sat_refutation,[],[f142,f147,f152,f157,f162,f167,f171,f176,f180,f184,f188,f192,f196,f200,f204,f232,f236,f253,f257,f265,f269,f273,f277,f281,f298,f318,f322,f326,f330,f345,f349,f353,f377,f381,f395,f399,f404,f412,f416,f436,f440,f444,f448,f453,f457,f461,f493,f506,f510,f514,f527,f532,f537,f542,f547,f552,f680,f695,f700,f705,f710,f715,f720,f725,f828,f832,f836,f840,f854,f887,f891,f895,f899,f903,f907,f973,f977,f981,f985,f998,f1026,f1030,f1034,f1038,f1042,f1046,f1050,f1058,f1062,f1131,f1143,f1147,f1151,f1155,f1159,f1163,f1216,f1278,f1282,f1286,f1290,f1331,f1345,f1349,f1353,f1357,f1361,f1365,f1451,f1455,f1459,f1463,f1467,f1471,f1475,f1476,f1480,f1644,f1701,f1705,f1709,f1761,f1765,f1769,f1774,f1778,f1782,f1795,f1808,f1812,f1816,f1820,f1834,f1918,f1922,f1948,f2022,f2026,f2062,f2066,f2070,f2084,f2176,f2180,f2184,f2188,f2202,f2233,f2237,f2241,f2245,f2277,f2290,f2294,f2298,f2302,f2394,f2399,f2403,f2407,f2411,f2503,f2507,f2546,f2584,f2588,f2682,f2686,f2690,f2694,f2698,f2730,f2884,f2888,f3041,f3045,f3049,f3053,f3206,f3233,f3238,f3243,f3248,f3253,f3258,f3481,f3517,f3522,f3527,f3532,f3537,f3542,f3678,f3682,f3687,f3691,f3695,f3699,f3703,f3707,f3711,f3716,f3722,f3728,f3736,f3835,f3839,f3843,f3847,f3851,f3855,f3859,f3863,f3868,f3872,f3876,f3880,f3884,f3889,f3895,f4055,f4060,f4069,f4073,f4077,f4081,f4085,f4089,f4093,f4097,f4102,f4106,f4110,f4114,f4118,f4122,f4126,f4130,f4134,f4138,f4142,f4147,f4151,f4155,f4159,f4163,f4167,f4171,f4175,f4179,f4183,f4187,f4192,f4304,f4419,f4527,f4531,f4536,f4540,f4544,f4548,f4552,f4556,f4560,f4564,f4568,f4572,f4576,f4581,f4585,f4589,f4593,f4597,f4601,f4605,f4609,f4613,f4617,f4621,f4626,f4630,f4634,f4638,f4642,f4646,f4650,f4654,f4658,f4662,f4666,f4671,f4676,f4701,f5164,f5179,f5183,f5187,f5210,f5214,f5218,f5222,f5226,f5230,f5234,f5238,f5242,f5246,f5269,f5273,f5277,f5281,f5285,f5294,f5321,f5335,f5381,f5386,f5431,f5458,f5503,f5567,f5572,f5577,f5582,f5639,f5643,f5812,f6124,f6128,f6151,f6155,f6159,f6163,f6167,f6171,f6335,f6345,f6354,f6383,f6392,f6404,f6411,f6423,f6430,f6435,f6450,f6459,f6472,f6477,f6481,f6486,f6491,f6495,f6847,f6851,f6855,f6859,f6864,f6868,f6872,f6876,f6880,f6884,f6888,f6892,f6896,f6900,f6904,f6909,f6914,f6918,f6922,f6926,f6930,f6934,f6938,f6942,f6946,f6950,f6955,f6959,f6963,f6967,f6971,f7029,f7190,f7331,f7372,f7414,f7455,f7499,f7544,f7548,f7557,f7566,f7570,f7574,f7578,f7582,f7586,f7591,f7595,f7599,f7603,f7607,f7611,f7615,f7619,f7623,f7627,f7631,f7636,f7640,f7644,f7648,f7652,f7656,f7660,f7664,f7668,f7672,f7676,f7681,f7685,f7689,f7693,f7697,f7701,f7705,f7746,f7841,f8217,f8306,f8310,f8315,f8320,f8324,f8328,f8332,f8336,f8340,f9056,f9097,f9136,f9177,f9181,f9223,f9264,f9303,f9343,f9406,f9457,f9498,f9536,f9576,f9643,f9684,f9721,f9760,f9766,f9776,f9780,f9899,f9906,f9915,f9924,f9956,f9965,f10121,f10143,f10148,f10194,f10240,f10282,f10324,f10375,f10380,f10423,f10462,f10501,f10514,f10518,f10550,f10554,f10567,f10571,f10584,f10746,f10801,f10805,f10809,f10813,f10817,f10821,f10825,f10829,f11489,f11537,f11538,f11656,f11704,f11754,f11758,f11762,f11766,f11770,f12201,f12205,f12209,f12213,f12217,f12221,f12225,f12229,f12233,f12237,f12241,f12245,f12249,f12253,f12257,f12261,f12265,f12269,f12273,f12277,f12281,f12285,f12289,f12483,f14063,f14252,f14256,f14260,f14264,f14268,f14272,f14276,f14281,f14285,f14289,f14293,f14297,f14301,f14305,f14309,f14313,f14317,f14321,f14326,f14330,f14334,f14338,f14342,f14346,f14350,f14354,f14358,f14372,f14377,f14391,f14405,f14419,f14433,f14447,f14452,f14466,f14551,f14656,f15428,f15493,f15498,f15560,f15802,f15887,f16107,f16219,f16286,f16350,f16415,f16420,f16495,f16560,f16621,f16689,f16753,f16821,f16883,f16951,f17015,f17083,f17188,f17256,f17320,f17388,f17452,f17457,f17523,f17584,f17652,f17717,f17785,f17850,f17854,f17858,f17862,f17866,f17870,f17874,f17878,f17882,f17933,f17937,f17941,f17945,f17949,f17953,f17957,f17961,f17965,f17969,f17974,f17978,f18234,f18249,f18253,f18257,f18261,f18265,f18269,f18273,f18277,f18281,f18342,f18346,f18350,f18354,f18358,f18362,f18366,f18400]) ).
fof(f18400,plain,
( ~ spl1_3
| spl1_1
| spl1_314
| ~ spl1_20
| spl1_622 ),
inference(avatar_split_clause,[],[f18088,f17971,f263,f5291,f139,f149]) ).
fof(f149,plain,
( spl1_3
<=> aNaturalNumber0(xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).
fof(f139,plain,
( spl1_1
<=> sz00 = xm ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
fof(f5291,plain,
( spl1_314
<=> sz10 = xm ),
introduced(avatar_definition,[new_symbols(naming,[spl1_314])]) ).
fof(f263,plain,
( spl1_20
<=> ! [X0] :
( sdtlseqdt0(sz10,X0)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_20])]) ).
fof(f17971,plain,
( spl1_622
<=> sdtlseqdt0(sz10,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_622])]) ).
fof(f18088,plain,
( sz10 = xm
| sz00 = xm
| ~ aNaturalNumber0(xm)
| ~ spl1_20
| spl1_622 ),
inference(resolution,[],[f17973,f264]) ).
fof(f264,plain,
( ! [X0] :
( sdtlseqdt0(sz10,X0)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl1_20 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f17973,plain,
( ~ sdtlseqdt0(sz10,xm)
| spl1_622 ),
inference(avatar_component_clause,[],[f17971]) ).
fof(f18366,plain,
( spl1_640
| ~ spl1_4
| ~ spl1_146 ),
inference(avatar_split_clause,[],[f2228,f2186,f154,f18364]) ).
fof(f18364,plain,
( spl1_640
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,xn)) = sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,xn)))
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_640])]) ).
fof(f154,plain,
( spl1_4
<=> aNaturalNumber0(xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).
fof(f2186,plain,
( spl1_146
<=> ! [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,[spl1_146])]) ).
fof(f2228,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,xn)) = sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,xn)))
| ~ aNaturalNumber0(X2) )
| ~ spl1_4
| ~ spl1_146 ),
inference(resolution,[],[f2187,f156]) ).
fof(f156,plain,
( aNaturalNumber0(xn)
| ~ spl1_4 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f2187,plain,
( ! [X2,X3,X0,X1] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(X2,X3)))
| ~ aNaturalNumber0(X2) )
| ~ spl1_146 ),
inference(avatar_component_clause,[],[f2186]) ).
fof(f18362,plain,
( spl1_639
| ~ spl1_3
| ~ spl1_146 ),
inference(avatar_split_clause,[],[f2227,f2186,f149,f18360]) ).
fof(f18360,plain,
( spl1_639
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,xm)) = sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,xm)))
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_639])]) ).
fof(f2227,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,xm)) = sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,xm)))
| ~ aNaturalNumber0(X2) )
| ~ spl1_3
| ~ spl1_146 ),
inference(resolution,[],[f2187,f151]) ).
fof(f151,plain,
( aNaturalNumber0(xm)
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f18358,plain,
( spl1_638
| ~ spl1_4
| ~ spl1_145 ),
inference(avatar_split_clause,[],[f2219,f2182,f154,f18356]) ).
fof(f18356,plain,
( spl1_638
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,xn)) = sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,xn)))
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_638])]) ).
fof(f2182,plain,
( spl1_145
<=> ! [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,[spl1_145])]) ).
fof(f2219,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,xn)) = sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,xn)))
| ~ aNaturalNumber0(X2) )
| ~ spl1_4
| ~ spl1_145 ),
inference(resolution,[],[f2183,f156]) ).
fof(f2183,plain,
( ! [X2,X3,X0,X1] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(X2,X3)))
| ~ aNaturalNumber0(X2) )
| ~ spl1_145 ),
inference(avatar_component_clause,[],[f2182]) ).
fof(f18354,plain,
( spl1_637
| ~ spl1_3
| ~ spl1_145 ),
inference(avatar_split_clause,[],[f2218,f2182,f149,f18352]) ).
fof(f18352,plain,
( spl1_637
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,xm)) = sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,xm)))
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_637])]) ).
fof(f2218,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,xm)) = sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,xm)))
| ~ aNaturalNumber0(X2) )
| ~ spl1_3
| ~ spl1_145 ),
inference(resolution,[],[f2183,f151]) ).
fof(f18350,plain,
( spl1_636
| ~ spl1_4
| ~ spl1_144 ),
inference(avatar_split_clause,[],[f2210,f2178,f154,f18348]) ).
fof(f18348,plain,
( spl1_636
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,xn)) = sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,xn)))
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_636])]) ).
fof(f2178,plain,
( spl1_144
<=> ! [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,[spl1_144])]) ).
fof(f2210,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,xn)) = sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,xn)))
| ~ aNaturalNumber0(X2) )
| ~ spl1_4
| ~ spl1_144 ),
inference(resolution,[],[f2179,f156]) ).
fof(f2179,plain,
( ! [X2,X3,X0,X1] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(X2,X3)))
| ~ aNaturalNumber0(X2) )
| ~ spl1_144 ),
inference(avatar_component_clause,[],[f2178]) ).
fof(f18346,plain,
( spl1_635
| ~ spl1_3
| ~ spl1_144 ),
inference(avatar_split_clause,[],[f2209,f2178,f149,f18344]) ).
fof(f18344,plain,
( spl1_635
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,xm)) = sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,xm)))
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_635])]) ).
fof(f2209,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,xm)) = sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,xm)))
| ~ aNaturalNumber0(X2) )
| ~ spl1_3
| ~ spl1_144 ),
inference(resolution,[],[f2179,f151]) ).
fof(f18342,plain,
( spl1_634
| ~ spl1_4
| ~ spl1_143 ),
inference(avatar_split_clause,[],[f2196,f2174,f154,f18340]) ).
fof(f18340,plain,
( spl1_634
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,xn)) = sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,xn)))
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_634])]) ).
fof(f2174,plain,
( spl1_143
<=> ! [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,[spl1_143])]) ).
fof(f2196,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,xn)) = sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,xn)))
| ~ aNaturalNumber0(X2) )
| ~ spl1_4
| ~ spl1_143 ),
inference(resolution,[],[f2175,f156]) ).
fof(f2175,plain,
( ! [X2,X3,X0,X1] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(X2,X3)))
| ~ aNaturalNumber0(X2) )
| ~ spl1_143 ),
inference(avatar_component_clause,[],[f2174]) ).
fof(f18281,plain,
( spl1_633
| ~ spl1_3
| ~ spl1_143 ),
inference(avatar_split_clause,[],[f2195,f2174,f149,f18279]) ).
fof(f18279,plain,
( spl1_633
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,xm)) = sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,xm)))
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_633])]) ).
fof(f2195,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,xm)) = sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,xm)))
| ~ aNaturalNumber0(X2) )
| ~ spl1_3
| ~ spl1_143 ),
inference(resolution,[],[f2175,f151]) ).
fof(f18277,plain,
( spl1_632
| ~ spl1_17
| ~ spl1_101 ),
inference(avatar_split_clause,[],[f1335,f1288,f234,f18275]) ).
fof(f18275,plain,
( spl1_632
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(X1,X2)),xn) = sdtasdt0(X0,sdtasdt0(sdtasdt0(X1,X2),xn))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_632])]) ).
fof(f234,plain,
( spl1_17
<=> ! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_17])]) ).
fof(f1288,plain,
( spl1_101
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xn) = sdtasdt0(X0,sdtasdt0(X1,xn))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_101])]) ).
fof(f1335,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(X1,X2)),xn) = sdtasdt0(X0,sdtasdt0(sdtasdt0(X1,X2),xn))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| ~ spl1_17
| ~ spl1_101 ),
inference(resolution,[],[f1289,f235]) ).
fof(f235,plain,
( ! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl1_17 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f1289,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| sdtasdt0(sdtasdt0(X0,X1),xn) = sdtasdt0(X0,sdtasdt0(X1,xn))
| ~ aNaturalNumber0(X0) )
| ~ spl1_101 ),
inference(avatar_component_clause,[],[f1288]) ).
fof(f18273,plain,
( spl1_631
| ~ spl1_16
| ~ spl1_101 ),
inference(avatar_split_clause,[],[f1334,f1288,f230,f18271]) ).
fof(f18271,plain,
( spl1_631
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(X1,X2)),xn) = sdtasdt0(X0,sdtasdt0(sdtpldt0(X1,X2),xn))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_631])]) ).
fof(f230,plain,
( spl1_16
<=> ! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_16])]) ).
fof(f1334,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(X1,X2)),xn) = sdtasdt0(X0,sdtasdt0(sdtpldt0(X1,X2),xn))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| ~ spl1_16
| ~ spl1_101 ),
inference(resolution,[],[f1289,f231]) ).
fof(f231,plain,
( ! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl1_16 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f18269,plain,
( spl1_630
| ~ spl1_17
| ~ spl1_100 ),
inference(avatar_split_clause,[],[f1315,f1284,f234,f18267]) ).
fof(f18267,plain,
( spl1_630
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(X1,X2)),xm) = sdtasdt0(X0,sdtasdt0(sdtasdt0(X1,X2),xm))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_630])]) ).
fof(f1284,plain,
( spl1_100
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xm) = sdtasdt0(X0,sdtasdt0(X1,xm))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_100])]) ).
fof(f1315,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(X1,X2)),xm) = sdtasdt0(X0,sdtasdt0(sdtasdt0(X1,X2),xm))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| ~ spl1_17
| ~ spl1_100 ),
inference(resolution,[],[f1285,f235]) ).
fof(f1285,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| sdtasdt0(sdtasdt0(X0,X1),xm) = sdtasdt0(X0,sdtasdt0(X1,xm))
| ~ aNaturalNumber0(X0) )
| ~ spl1_100 ),
inference(avatar_component_clause,[],[f1284]) ).
fof(f18265,plain,
( spl1_629
| ~ spl1_16
| ~ spl1_100 ),
inference(avatar_split_clause,[],[f1314,f1284,f230,f18263]) ).
fof(f18263,plain,
( spl1_629
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(X1,X2)),xm) = sdtasdt0(X0,sdtasdt0(sdtpldt0(X1,X2),xm))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_629])]) ).
fof(f1314,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(X1,X2)),xm) = sdtasdt0(X0,sdtasdt0(sdtpldt0(X1,X2),xm))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| ~ spl1_16
| ~ spl1_100 ),
inference(resolution,[],[f1285,f231]) ).
fof(f18261,plain,
( spl1_628
| ~ spl1_17
| ~ spl1_99 ),
inference(avatar_split_clause,[],[f1305,f1280,f234,f18259]) ).
fof(f18259,plain,
( spl1_628
<=> ! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(X1,X2)),xn) = sdtpldt0(X0,sdtpldt0(sdtasdt0(X1,X2),xn))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_628])]) ).
fof(f1280,plain,
( spl1_99
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xn) = sdtpldt0(X0,sdtpldt0(X1,xn))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_99])]) ).
fof(f1305,plain,
( ! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(X1,X2)),xn) = sdtpldt0(X0,sdtpldt0(sdtasdt0(X1,X2),xn))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| ~ spl1_17
| ~ spl1_99 ),
inference(resolution,[],[f1281,f235]) ).
fof(f1281,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| sdtpldt0(sdtpldt0(X0,X1),xn) = sdtpldt0(X0,sdtpldt0(X1,xn))
| ~ aNaturalNumber0(X0) )
| ~ spl1_99 ),
inference(avatar_component_clause,[],[f1280]) ).
fof(f18257,plain,
( spl1_627
| ~ spl1_16
| ~ spl1_99 ),
inference(avatar_split_clause,[],[f1304,f1280,f230,f18255]) ).
fof(f18255,plain,
( spl1_627
<=> ! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(X1,X2)),xn) = sdtpldt0(X0,sdtpldt0(sdtpldt0(X1,X2),xn))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_627])]) ).
fof(f1304,plain,
( ! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(X1,X2)),xn) = sdtpldt0(X0,sdtpldt0(sdtpldt0(X1,X2),xn))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| ~ spl1_16
| ~ spl1_99 ),
inference(resolution,[],[f1281,f231]) ).
fof(f18253,plain,
( spl1_626
| ~ spl1_17
| ~ spl1_98 ),
inference(avatar_split_clause,[],[f1294,f1276,f234,f18251]) ).
fof(f18251,plain,
( spl1_626
<=> ! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(X1,X2)),xm) = sdtpldt0(X0,sdtpldt0(sdtasdt0(X1,X2),xm))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_626])]) ).
fof(f1276,plain,
( spl1_98
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xm) = sdtpldt0(X0,sdtpldt0(X1,xm))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_98])]) ).
fof(f1294,plain,
( ! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(X1,X2)),xm) = sdtpldt0(X0,sdtpldt0(sdtasdt0(X1,X2),xm))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| ~ spl1_17
| ~ spl1_98 ),
inference(resolution,[],[f1277,f235]) ).
fof(f1277,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| sdtpldt0(sdtpldt0(X0,X1),xm) = sdtpldt0(X0,sdtpldt0(X1,xm))
| ~ aNaturalNumber0(X0) )
| ~ spl1_98 ),
inference(avatar_component_clause,[],[f1276]) ).
fof(f18249,plain,
( spl1_625
| ~ spl1_16
| ~ spl1_98 ),
inference(avatar_split_clause,[],[f1293,f1276,f230,f18247]) ).
fof(f18247,plain,
( spl1_625
<=> ! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(X1,X2)),xm) = sdtpldt0(X0,sdtpldt0(sdtpldt0(X1,X2),xm))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_625])]) ).
fof(f1293,plain,
( ! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(X1,X2)),xm) = sdtpldt0(X0,sdtpldt0(sdtpldt0(X1,X2),xm))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| ~ spl1_16
| ~ spl1_98 ),
inference(resolution,[],[f1277,f231]) ).
fof(f18234,plain,
( ~ spl1_6
| ~ spl1_3
| spl1_624
| ~ spl1_19
| spl1_622 ),
inference(avatar_split_clause,[],[f18089,f17971,f255,f18231,f149,f164]) ).
fof(f164,plain,
( spl1_6
<=> aNaturalNumber0(sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_6])]) ).
fof(f18231,plain,
( spl1_624
<=> sdtlseqdt0(xm,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_624])]) ).
fof(f255,plain,
( spl1_19
<=> ! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_19])]) ).
fof(f18089,plain,
( sdtlseqdt0(xm,sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz10)
| ~ spl1_19
| spl1_622 ),
inference(resolution,[],[f17973,f256]) ).
fof(f256,plain,
( ! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl1_19 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f17978,plain,
( spl1_623
| ~ spl1_19
| ~ spl1_142 ),
inference(avatar_split_clause,[],[f2169,f2082,f255,f17976]) ).
fof(f17976,plain,
( spl1_623
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(sdtmndt0(X0,X1),X2) = sdtasdt0(X2,sdtmndt0(X0,X1))
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_623])]) ).
fof(f2082,plain,
( spl1_142
<=> ! [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,[spl1_142])]) ).
fof(f2169,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(sdtmndt0(X0,X1),X2) = sdtasdt0(X2,sdtmndt0(X0,X1))
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X0,X1) )
| ~ spl1_19
| ~ spl1_142 ),
inference(duplicate_literal_removal,[],[f2154]) ).
fof(f2154,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(sdtmndt0(X0,X1),X2) = sdtasdt0(X2,sdtmndt0(X0,X1))
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl1_19
| ~ spl1_142 ),
inference(resolution,[],[f2083,f256]) ).
fof(f2083,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X2,sdtmndt0(X1,X0)) = sdtasdt0(sdtmndt0(X1,X0),X2)
| ~ aNaturalNumber0(X2) )
| ~ spl1_142 ),
inference(avatar_component_clause,[],[f2082]) ).
fof(f17974,plain,
( ~ spl1_622
| spl1_314
| ~ spl1_3
| spl1_2
| ~ spl1_586 ),
inference(avatar_split_clause,[],[f16755,f16751,f144,f149,f5291,f17971]) ).
fof(f144,plain,
( spl1_2
<=> sdtlseqdt0(xn,sdtasdt0(xn,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
fof(f16751,plain,
( spl1_586
<=> ! [X0] :
( sdtlseqdt0(xn,sdtasdt0(xn,X0))
| ~ aNaturalNumber0(X0)
| sz10 = X0
| ~ sdtlseqdt0(sz10,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_586])]) ).
fof(f16755,plain,
( ~ aNaturalNumber0(xm)
| sz10 = xm
| ~ sdtlseqdt0(sz10,xm)
| spl1_2
| ~ spl1_586 ),
inference(resolution,[],[f16752,f146]) ).
fof(f146,plain,
( ~ sdtlseqdt0(xn,sdtasdt0(xn,xm))
| spl1_2 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f16752,plain,
( ! [X0] :
( sdtlseqdt0(xn,sdtasdt0(xn,X0))
| ~ aNaturalNumber0(X0)
| sz10 = X0
| ~ sdtlseqdt0(sz10,X0) )
| ~ spl1_586 ),
inference(avatar_component_clause,[],[f16751]) ).
fof(f17969,plain,
( spl1_621
| ~ spl1_19
| ~ spl1_141 ),
inference(avatar_split_clause,[],[f2147,f2068,f255,f17967]) ).
fof(f17967,plain,
( spl1_621
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(sdtmndt0(X0,X1),X2) = sdtpldt0(X2,sdtmndt0(X0,X1))
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_621])]) ).
fof(f2068,plain,
( spl1_141
<=> ! [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,[spl1_141])]) ).
fof(f2147,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(sdtmndt0(X0,X1),X2) = sdtpldt0(X2,sdtmndt0(X0,X1))
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X0,X1) )
| ~ spl1_19
| ~ spl1_141 ),
inference(duplicate_literal_removal,[],[f2132]) ).
fof(f2132,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(sdtmndt0(X0,X1),X2) = sdtpldt0(X2,sdtmndt0(X0,X1))
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl1_19
| ~ spl1_141 ),
inference(resolution,[],[f2069,f256]) ).
fof(f2069,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X2,sdtmndt0(X1,X0)) = sdtpldt0(sdtmndt0(X1,X0),X2)
| ~ aNaturalNumber0(X2) )
| ~ spl1_141 ),
inference(avatar_component_clause,[],[f2068]) ).
fof(f17965,plain,
( spl1_620
| ~ spl1_19
| ~ spl1_140 ),
inference(avatar_split_clause,[],[f2125,f2064,f255,f17963]) ).
fof(f17963,plain,
( spl1_620
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X2,sK0(X1,X0)) = sdtasdt0(sK0(X1,X0),X2)
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_620])]) ).
fof(f2064,plain,
( spl1_140
<=> ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X2,sK0(X0,X1)) = sdtasdt0(sK0(X0,X1),X2)
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_140])]) ).
fof(f2125,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X2,sK0(X1,X0)) = sdtasdt0(sK0(X1,X0),X2)
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X0,X1) )
| ~ spl1_19
| ~ spl1_140 ),
inference(duplicate_literal_removal,[],[f2110]) ).
fof(f2110,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X2,sK0(X1,X0)) = sdtasdt0(sK0(X1,X0),X2)
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl1_19
| ~ spl1_140 ),
inference(resolution,[],[f2065,f256]) ).
fof(f2065,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X2,sK0(X0,X1)) = sdtasdt0(sK0(X0,X1),X2)
| ~ aNaturalNumber0(X2) )
| ~ spl1_140 ),
inference(avatar_component_clause,[],[f2064]) ).
fof(f17961,plain,
( spl1_619
| ~ spl1_19
| ~ spl1_139 ),
inference(avatar_split_clause,[],[f2103,f2060,f255,f17959]) ).
fof(f17959,plain,
( spl1_619
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X2,sK0(X1,X0)) = sdtpldt0(sK0(X1,X0),X2)
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_619])]) ).
fof(f2060,plain,
( spl1_139
<=> ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X2,sK0(X0,X1)) = sdtpldt0(sK0(X0,X1),X2)
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_139])]) ).
fof(f2103,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X2,sK0(X1,X0)) = sdtpldt0(sK0(X1,X0),X2)
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X0,X1) )
| ~ spl1_19
| ~ spl1_139 ),
inference(duplicate_literal_removal,[],[f2088]) ).
fof(f2088,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X2,sK0(X1,X0)) = sdtpldt0(sK0(X1,X0),X2)
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl1_19
| ~ spl1_139 ),
inference(resolution,[],[f2061,f256]) ).
fof(f2061,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X2,sK0(X0,X1)) = sdtpldt0(sK0(X0,X1),X2)
| ~ aNaturalNumber0(X2) )
| ~ spl1_139 ),
inference(avatar_component_clause,[],[f2060]) ).
fof(f17957,plain,
( spl1_618
| ~ spl1_96
| ~ spl1_117 ),
inference(avatar_split_clause,[],[f1639,f1478,f1161,f17955]) ).
fof(f17955,plain,
( spl1_618
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtmndt0(X0,X1) = sdtasdt0(sz10,sdtmndt0(X0,X1))
| sdtpldt0(X0,sdtmndt0(X1,X0)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_618])]) ).
fof(f1161,plain,
( spl1_96
<=> ! [X0,X1] :
( sdtpldt0(X0,sdtmndt0(X1,X0)) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_96])]) ).
fof(f1478,plain,
( spl1_117
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtmndt0(X1,X0) = sdtasdt0(sz10,sdtmndt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_117])]) ).
fof(f1639,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtmndt0(X0,X1) = sdtasdt0(sz10,sdtmndt0(X0,X1))
| sdtpldt0(X0,sdtmndt0(X1,X0)) = X1 )
| ~ spl1_96
| ~ spl1_117 ),
inference(duplicate_literal_removal,[],[f1622]) ).
fof(f1622,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtmndt0(X0,X1) = sdtasdt0(sz10,sdtmndt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sdtmndt0(X1,X0)) = X1 )
| ~ spl1_96
| ~ spl1_117 ),
inference(resolution,[],[f1479,f1162]) ).
fof(f1162,plain,
( ! [X0,X1] :
( sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sdtmndt0(X1,X0)) = X1 )
| ~ spl1_96 ),
inference(avatar_component_clause,[],[f1161]) ).
fof(f1479,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtmndt0(X1,X0) = sdtasdt0(sz10,sdtmndt0(X1,X0)) )
| ~ spl1_117 ),
inference(avatar_component_clause,[],[f1478]) ).
fof(f17953,plain,
( spl1_617
| ~ spl1_95
| ~ spl1_117 ),
inference(avatar_split_clause,[],[f1638,f1478,f1157,f17951]) ).
fof(f17951,plain,
( spl1_617
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtmndt0(X0,X1) = sdtasdt0(sz10,sdtmndt0(X0,X1))
| sdtpldt0(X0,sK0(X0,X1)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_617])]) ).
fof(f1157,plain,
( spl1_95
<=> ! [X0,X1] :
( sdtpldt0(X0,sK0(X0,X1)) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_95])]) ).
fof(f1638,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtmndt0(X0,X1) = sdtasdt0(sz10,sdtmndt0(X0,X1))
| sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ~ spl1_95
| ~ spl1_117 ),
inference(duplicate_literal_removal,[],[f1623]) ).
fof(f1623,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtmndt0(X0,X1) = sdtasdt0(sz10,sdtmndt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ~ spl1_95
| ~ spl1_117 ),
inference(resolution,[],[f1479,f1158]) ).
fof(f1158,plain,
( ! [X0,X1] :
( sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ~ spl1_95 ),
inference(avatar_component_clause,[],[f1157]) ).
fof(f17949,plain,
( spl1_616
| ~ spl1_96
| ~ spl1_116 ),
inference(avatar_split_clause,[],[f1619,f1473,f1161,f17947]) ).
fof(f17947,plain,
( spl1_616
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtmndt0(X0,X1) = sdtasdt0(sdtmndt0(X0,X1),sz10)
| sdtpldt0(X0,sdtmndt0(X1,X0)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_616])]) ).
fof(f1473,plain,
( spl1_116
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtmndt0(X1,X0) = sdtasdt0(sdtmndt0(X1,X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_116])]) ).
fof(f1619,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtmndt0(X0,X1) = sdtasdt0(sdtmndt0(X0,X1),sz10)
| sdtpldt0(X0,sdtmndt0(X1,X0)) = X1 )
| ~ spl1_96
| ~ spl1_116 ),
inference(duplicate_literal_removal,[],[f1602]) ).
fof(f1602,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtmndt0(X0,X1) = sdtasdt0(sdtmndt0(X0,X1),sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sdtmndt0(X1,X0)) = X1 )
| ~ spl1_96
| ~ spl1_116 ),
inference(resolution,[],[f1474,f1162]) ).
fof(f1474,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtmndt0(X1,X0) = sdtasdt0(sdtmndt0(X1,X0),sz10) )
| ~ spl1_116 ),
inference(avatar_component_clause,[],[f1473]) ).
fof(f17945,plain,
( spl1_615
| ~ spl1_95
| ~ spl1_116 ),
inference(avatar_split_clause,[],[f1618,f1473,f1157,f17943]) ).
fof(f17943,plain,
( spl1_615
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtmndt0(X0,X1) = sdtasdt0(sdtmndt0(X0,X1),sz10)
| sdtpldt0(X0,sK0(X0,X1)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_615])]) ).
fof(f1618,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtmndt0(X0,X1) = sdtasdt0(sdtmndt0(X0,X1),sz10)
| sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ~ spl1_95
| ~ spl1_116 ),
inference(duplicate_literal_removal,[],[f1603]) ).
fof(f1603,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtmndt0(X0,X1) = sdtasdt0(sdtmndt0(X0,X1),sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ~ spl1_95
| ~ spl1_116 ),
inference(resolution,[],[f1474,f1158]) ).
fof(f17941,plain,
( spl1_614
| ~ spl1_96
| ~ spl1_115 ),
inference(avatar_split_clause,[],[f1599,f1469,f1161,f17939]) ).
fof(f17939,plain,
( spl1_614
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtmndt0(X0,X1) = sdtpldt0(sz00,sdtmndt0(X0,X1))
| sdtpldt0(X0,sdtmndt0(X1,X0)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_614])]) ).
fof(f1469,plain,
( spl1_115
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtmndt0(X1,X0) = sdtpldt0(sz00,sdtmndt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_115])]) ).
fof(f1599,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtmndt0(X0,X1) = sdtpldt0(sz00,sdtmndt0(X0,X1))
| sdtpldt0(X0,sdtmndt0(X1,X0)) = X1 )
| ~ spl1_96
| ~ spl1_115 ),
inference(duplicate_literal_removal,[],[f1582]) ).
fof(f1582,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtmndt0(X0,X1) = sdtpldt0(sz00,sdtmndt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sdtmndt0(X1,X0)) = X1 )
| ~ spl1_96
| ~ spl1_115 ),
inference(resolution,[],[f1470,f1162]) ).
fof(f1470,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtmndt0(X1,X0) = sdtpldt0(sz00,sdtmndt0(X1,X0)) )
| ~ spl1_115 ),
inference(avatar_component_clause,[],[f1469]) ).
fof(f17937,plain,
( spl1_613
| ~ spl1_95
| ~ spl1_115 ),
inference(avatar_split_clause,[],[f1598,f1469,f1157,f17935]) ).
fof(f17935,plain,
( spl1_613
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtmndt0(X0,X1) = sdtpldt0(sz00,sdtmndt0(X0,X1))
| sdtpldt0(X0,sK0(X0,X1)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_613])]) ).
fof(f1598,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtmndt0(X0,X1) = sdtpldt0(sz00,sdtmndt0(X0,X1))
| sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ~ spl1_95
| ~ spl1_115 ),
inference(duplicate_literal_removal,[],[f1583]) ).
fof(f1583,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtmndt0(X0,X1) = sdtpldt0(sz00,sdtmndt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ~ spl1_95
| ~ spl1_115 ),
inference(resolution,[],[f1470,f1158]) ).
fof(f17933,plain,
( spl1_612
| ~ spl1_96
| ~ spl1_114 ),
inference(avatar_split_clause,[],[f1579,f1465,f1161,f17931]) ).
fof(f17931,plain,
( spl1_612
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtmndt0(X0,X1) = sdtpldt0(sdtmndt0(X0,X1),sz00)
| sdtpldt0(X0,sdtmndt0(X1,X0)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_612])]) ).
fof(f1465,plain,
( spl1_114
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtmndt0(X1,X0) = sdtpldt0(sdtmndt0(X1,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_114])]) ).
fof(f1579,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtmndt0(X0,X1) = sdtpldt0(sdtmndt0(X0,X1),sz00)
| sdtpldt0(X0,sdtmndt0(X1,X0)) = X1 )
| ~ spl1_96
| ~ spl1_114 ),
inference(duplicate_literal_removal,[],[f1562]) ).
fof(f1562,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtmndt0(X0,X1) = sdtpldt0(sdtmndt0(X0,X1),sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sdtmndt0(X1,X0)) = X1 )
| ~ spl1_96
| ~ spl1_114 ),
inference(resolution,[],[f1466,f1162]) ).
fof(f1466,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtmndt0(X1,X0) = sdtpldt0(sdtmndt0(X1,X0),sz00) )
| ~ spl1_114 ),
inference(avatar_component_clause,[],[f1465]) ).
fof(f17882,plain,
( spl1_611
| ~ spl1_95
| ~ spl1_114 ),
inference(avatar_split_clause,[],[f1578,f1465,f1157,f17880]) ).
fof(f17880,plain,
( spl1_611
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtmndt0(X0,X1) = sdtpldt0(sdtmndt0(X0,X1),sz00)
| sdtpldt0(X0,sK0(X0,X1)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_611])]) ).
fof(f1578,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtmndt0(X0,X1) = sdtpldt0(sdtmndt0(X0,X1),sz00)
| sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ~ spl1_95
| ~ spl1_114 ),
inference(duplicate_literal_removal,[],[f1563]) ).
fof(f1563,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtmndt0(X0,X1) = sdtpldt0(sdtmndt0(X0,X1),sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ~ spl1_95
| ~ spl1_114 ),
inference(resolution,[],[f1466,f1158]) ).
fof(f17878,plain,
( spl1_610
| ~ spl1_96
| ~ spl1_113 ),
inference(avatar_split_clause,[],[f1559,f1461,f1161,f17876]) ).
fof(f17876,plain,
( spl1_610
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sK0(X1,X0) = sdtasdt0(sz10,sK0(X1,X0))
| sdtpldt0(X0,sdtmndt0(X1,X0)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_610])]) ).
fof(f1461,plain,
( spl1_113
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK0(X0,X1) = sdtasdt0(sz10,sK0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_113])]) ).
fof(f1559,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sK0(X1,X0) = sdtasdt0(sz10,sK0(X1,X0))
| sdtpldt0(X0,sdtmndt0(X1,X0)) = X1 )
| ~ spl1_96
| ~ spl1_113 ),
inference(duplicate_literal_removal,[],[f1542]) ).
fof(f1542,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sK0(X1,X0) = sdtasdt0(sz10,sK0(X1,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sdtmndt0(X1,X0)) = X1 )
| ~ spl1_96
| ~ spl1_113 ),
inference(resolution,[],[f1462,f1162]) ).
fof(f1462,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK0(X0,X1) = sdtasdt0(sz10,sK0(X0,X1)) )
| ~ spl1_113 ),
inference(avatar_component_clause,[],[f1461]) ).
fof(f17874,plain,
( spl1_609
| ~ spl1_95
| ~ spl1_113 ),
inference(avatar_split_clause,[],[f1558,f1461,f1157,f17872]) ).
fof(f17872,plain,
( spl1_609
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sK0(X1,X0) = sdtasdt0(sz10,sK0(X1,X0))
| sdtpldt0(X0,sK0(X0,X1)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_609])]) ).
fof(f1558,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sK0(X1,X0) = sdtasdt0(sz10,sK0(X1,X0))
| sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ~ spl1_95
| ~ spl1_113 ),
inference(duplicate_literal_removal,[],[f1543]) ).
fof(f1543,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sK0(X1,X0) = sdtasdt0(sz10,sK0(X1,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ~ spl1_95
| ~ spl1_113 ),
inference(resolution,[],[f1462,f1158]) ).
fof(f17870,plain,
( spl1_608
| ~ spl1_96
| ~ spl1_112 ),
inference(avatar_split_clause,[],[f1539,f1457,f1161,f17868]) ).
fof(f17868,plain,
( spl1_608
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sK0(X1,X0) = sdtasdt0(sK0(X1,X0),sz10)
| sdtpldt0(X0,sdtmndt0(X1,X0)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_608])]) ).
fof(f1457,plain,
( spl1_112
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK0(X0,X1) = sdtasdt0(sK0(X0,X1),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_112])]) ).
fof(f1539,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sK0(X1,X0) = sdtasdt0(sK0(X1,X0),sz10)
| sdtpldt0(X0,sdtmndt0(X1,X0)) = X1 )
| ~ spl1_96
| ~ spl1_112 ),
inference(duplicate_literal_removal,[],[f1522]) ).
fof(f1522,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sK0(X1,X0) = sdtasdt0(sK0(X1,X0),sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sdtmndt0(X1,X0)) = X1 )
| ~ spl1_96
| ~ spl1_112 ),
inference(resolution,[],[f1458,f1162]) ).
fof(f1458,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK0(X0,X1) = sdtasdt0(sK0(X0,X1),sz10) )
| ~ spl1_112 ),
inference(avatar_component_clause,[],[f1457]) ).
fof(f17866,plain,
( spl1_607
| ~ spl1_95
| ~ spl1_112 ),
inference(avatar_split_clause,[],[f1538,f1457,f1157,f17864]) ).
fof(f17864,plain,
( spl1_607
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sK0(X1,X0) = sdtasdt0(sK0(X1,X0),sz10)
| sdtpldt0(X0,sK0(X0,X1)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_607])]) ).
fof(f1538,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sK0(X1,X0) = sdtasdt0(sK0(X1,X0),sz10)
| sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ~ spl1_95
| ~ spl1_112 ),
inference(duplicate_literal_removal,[],[f1523]) ).
fof(f1523,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sK0(X1,X0) = sdtasdt0(sK0(X1,X0),sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ~ spl1_95
| ~ spl1_112 ),
inference(resolution,[],[f1458,f1158]) ).
fof(f17862,plain,
( spl1_606
| ~ spl1_96
| ~ spl1_111 ),
inference(avatar_split_clause,[],[f1519,f1453,f1161,f17860]) ).
fof(f17860,plain,
( spl1_606
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sK0(X1,X0) = sdtpldt0(sz00,sK0(X1,X0))
| sdtpldt0(X0,sdtmndt0(X1,X0)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_606])]) ).
fof(f1453,plain,
( spl1_111
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK0(X0,X1) = sdtpldt0(sz00,sK0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_111])]) ).
fof(f1519,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sK0(X1,X0) = sdtpldt0(sz00,sK0(X1,X0))
| sdtpldt0(X0,sdtmndt0(X1,X0)) = X1 )
| ~ spl1_96
| ~ spl1_111 ),
inference(duplicate_literal_removal,[],[f1502]) ).
fof(f1502,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sK0(X1,X0) = sdtpldt0(sz00,sK0(X1,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sdtmndt0(X1,X0)) = X1 )
| ~ spl1_96
| ~ spl1_111 ),
inference(resolution,[],[f1454,f1162]) ).
fof(f1454,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK0(X0,X1) = sdtpldt0(sz00,sK0(X0,X1)) )
| ~ spl1_111 ),
inference(avatar_component_clause,[],[f1453]) ).
fof(f17858,plain,
( spl1_605
| ~ spl1_95
| ~ spl1_111 ),
inference(avatar_split_clause,[],[f1518,f1453,f1157,f17856]) ).
fof(f17856,plain,
( spl1_605
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sK0(X1,X0) = sdtpldt0(sz00,sK0(X1,X0))
| sdtpldt0(X0,sK0(X0,X1)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_605])]) ).
fof(f1518,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sK0(X1,X0) = sdtpldt0(sz00,sK0(X1,X0))
| sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ~ spl1_95
| ~ spl1_111 ),
inference(duplicate_literal_removal,[],[f1503]) ).
fof(f1503,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sK0(X1,X0) = sdtpldt0(sz00,sK0(X1,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ~ spl1_95
| ~ spl1_111 ),
inference(resolution,[],[f1454,f1158]) ).
fof(f17854,plain,
( spl1_604
| ~ spl1_96
| ~ spl1_110 ),
inference(avatar_split_clause,[],[f1499,f1449,f1161,f17852]) ).
fof(f17852,plain,
( spl1_604
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sK0(X1,X0) = sdtpldt0(sK0(X1,X0),sz00)
| sdtpldt0(X0,sdtmndt0(X1,X0)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_604])]) ).
fof(f1449,plain,
( spl1_110
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK0(X0,X1) = sdtpldt0(sK0(X0,X1),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_110])]) ).
fof(f1499,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sK0(X1,X0) = sdtpldt0(sK0(X1,X0),sz00)
| sdtpldt0(X0,sdtmndt0(X1,X0)) = X1 )
| ~ spl1_96
| ~ spl1_110 ),
inference(duplicate_literal_removal,[],[f1482]) ).
fof(f1482,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sK0(X1,X0) = sdtpldt0(sK0(X1,X0),sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sdtmndt0(X1,X0)) = X1 )
| ~ spl1_96
| ~ spl1_110 ),
inference(resolution,[],[f1450,f1162]) ).
fof(f1450,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK0(X0,X1) = sdtpldt0(sK0(X0,X1),sz00) )
| ~ spl1_110 ),
inference(avatar_component_clause,[],[f1449]) ).
fof(f17850,plain,
( spl1_603
| ~ spl1_95
| ~ spl1_110 ),
inference(avatar_split_clause,[],[f1498,f1449,f1157,f17848]) ).
fof(f17848,plain,
( spl1_603
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sK0(X1,X0) = sdtpldt0(sK0(X1,X0),sz00)
| sdtpldt0(X0,sK0(X0,X1)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_603])]) ).
fof(f1498,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sK0(X1,X0) = sdtpldt0(sK0(X1,X0),sz00)
| sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ~ spl1_95
| ~ spl1_110 ),
inference(duplicate_literal_removal,[],[f1483]) ).
fof(f1483,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sK0(X1,X0) = sdtpldt0(sK0(X1,X0),sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ~ spl1_95
| ~ spl1_110 ),
inference(resolution,[],[f1450,f1158]) ).
fof(f17785,plain,
( ~ spl1_6
| ~ spl1_5
| spl1_8
| spl1_602
| ~ spl1_50
| ~ spl1_60 ),
inference(avatar_split_clause,[],[f756,f702,f512,f17783,f173,f159,f164]) ).
fof(f159,plain,
( spl1_5
<=> aNaturalNumber0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_5])]) ).
fof(f173,plain,
( spl1_8
<=> sz00 = sz10 ),
introduced(avatar_definition,[new_symbols(naming,[spl1_8])]) ).
fof(f17783,plain,
( spl1_602
<=> ! [X0] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sz00)
| ~ aNaturalNumber0(X0)
| sz00 = X0
| ~ sdtlseqdt0(X0,sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_602])]) ).
fof(f512,plain,
( spl1_50
<=> ! [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,[spl1_50])]) ).
fof(f702,plain,
( spl1_60
<=> sz00 = sdtasdt0(sz00,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_60])]) ).
fof(f756,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sz00)
| ~ sdtlseqdt0(X0,sz00)
| sz00 = X0
| sz00 = sz10
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10) )
| ~ spl1_50
| ~ spl1_60 ),
inference(superposition,[],[f513,f704]) ).
fof(f704,plain,
( sz00 = sdtasdt0(sz00,sz10)
| ~ spl1_60 ),
inference(avatar_component_clause,[],[f702]) ).
fof(f513,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl1_50 ),
inference(avatar_component_clause,[],[f512]) ).
fof(f17717,plain,
( ~ spl1_6
| ~ spl1_5
| spl1_8
| spl1_601
| ~ spl1_50
| ~ spl1_60 ),
inference(avatar_split_clause,[],[f755,f702,f512,f17715,f173,f159,f164]) ).
fof(f17715,plain,
( spl1_601
<=> ! [X0] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sz10))
| ~ aNaturalNumber0(X0)
| sz00 = X0
| ~ sdtlseqdt0(sz00,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_601])]) ).
fof(f755,plain,
( ! [X0] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sz10))
| ~ sdtlseqdt0(sz00,X0)
| sz00 = X0
| sz00 = sz10
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz10) )
| ~ spl1_50
| ~ spl1_60 ),
inference(superposition,[],[f513,f704]) ).
fof(f17652,plain,
( ~ spl1_6
| ~ spl1_5
| spl1_8
| spl1_600
| ~ spl1_49
| ~ spl1_59 ),
inference(avatar_split_clause,[],[f744,f697,f508,f17650,f173,f159,f164]) ).
fof(f17650,plain,
( spl1_600
<=> ! [X0] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sz00)
| ~ aNaturalNumber0(X0)
| sz00 = X0
| ~ sdtlseqdt0(X0,sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_600])]) ).
fof(f508,plain,
( spl1_49
<=> ! [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,[spl1_49])]) ).
fof(f697,plain,
( spl1_59
<=> sz00 = sdtasdt0(sz10,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_59])]) ).
fof(f744,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sz00)
| ~ sdtlseqdt0(X0,sz00)
| sz00 = X0
| sz00 = sz10
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10) )
| ~ spl1_49
| ~ spl1_59 ),
inference(superposition,[],[f509,f699]) ).
fof(f699,plain,
( sz00 = sdtasdt0(sz10,sz00)
| ~ spl1_59 ),
inference(avatar_component_clause,[],[f697]) ).
fof(f509,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl1_49 ),
inference(avatar_component_clause,[],[f508]) ).
fof(f17584,plain,
( ~ spl1_6
| ~ spl1_5
| spl1_8
| spl1_599
| ~ spl1_49
| ~ spl1_59 ),
inference(avatar_split_clause,[],[f743,f697,f508,f17582,f173,f159,f164]) ).
fof(f17582,plain,
( spl1_599
<=> ! [X0] :
( sdtlseqdt0(sz00,sdtasdt0(sz10,X0))
| ~ aNaturalNumber0(X0)
| sz00 = X0
| ~ sdtlseqdt0(sz00,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_599])]) ).
fof(f743,plain,
( ! [X0] :
( sdtlseqdt0(sz00,sdtasdt0(sz10,X0))
| ~ sdtlseqdt0(sz00,X0)
| sz00 = X0
| sz00 = sz10
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz10) )
| ~ spl1_49
| ~ spl1_59 ),
inference(superposition,[],[f509,f699]) ).
fof(f17523,plain,
( ~ spl1_4
| ~ spl1_6
| spl1_317
| spl1_598
| ~ spl1_50
| ~ spl1_56 ),
inference(avatar_split_clause,[],[f690,f549,f512,f17521,f5332,f164,f154]) ).
fof(f5332,plain,
( spl1_317
<=> sz00 = xn ),
introduced(avatar_definition,[new_symbols(naming,[spl1_317])]) ).
fof(f17521,plain,
( spl1_598
<=> ! [X0] :
( sdtlseqdt0(sdtasdt0(X0,xn),xn)
| ~ aNaturalNumber0(X0)
| sz10 = X0
| ~ sdtlseqdt0(X0,sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_598])]) ).
fof(f549,plain,
( spl1_56
<=> xn = sdtasdt0(sz10,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_56])]) ).
fof(f690,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(X0,xn),xn)
| ~ sdtlseqdt0(X0,sz10)
| sz10 = X0
| sz00 = xn
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xn) )
| ~ spl1_50
| ~ spl1_56 ),
inference(superposition,[],[f513,f551]) ).
fof(f551,plain,
( xn = sdtasdt0(sz10,xn)
| ~ spl1_56 ),
inference(avatar_component_clause,[],[f549]) ).
fof(f17457,plain,
( ~ spl1_597
| ~ spl1_180
| spl1_581 ),
inference(avatar_split_clause,[],[f16754,f16417,f3230,f17454]) ).
fof(f17454,plain,
( spl1_597
<=> sz10 = sdtpldt0(xn,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_597])]) ).
fof(f3230,plain,
( spl1_180
<=> sdtpldt0(xn,sz10) = sdtpldt0(sz10,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_180])]) ).
fof(f16417,plain,
( spl1_581
<=> sz10 = sdtpldt0(sz10,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_581])]) ).
fof(f16754,plain,
( sz10 != sdtpldt0(xn,sz10)
| ~ spl1_180
| spl1_581 ),
inference(superposition,[],[f16418,f3232]) ).
fof(f3232,plain,
( sdtpldt0(xn,sz10) = sdtpldt0(sz10,xn)
| ~ spl1_180 ),
inference(avatar_component_clause,[],[f3230]) ).
fof(f16418,plain,
( sz10 != sdtpldt0(sz10,xn)
| spl1_581 ),
inference(avatar_component_clause,[],[f16417]) ).
fof(f17452,plain,
( ~ spl1_4
| ~ spl1_6
| spl1_317
| spl1_596
| ~ spl1_50
| ~ spl1_56 ),
inference(avatar_split_clause,[],[f689,f549,f512,f17450,f5332,f164,f154]) ).
fof(f17450,plain,
( spl1_596
<=> ! [X0] :
( sdtlseqdt0(xn,sdtasdt0(X0,xn))
| ~ aNaturalNumber0(X0)
| sz10 = X0
| ~ sdtlseqdt0(sz10,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_596])]) ).
fof(f689,plain,
( ! [X0] :
( sdtlseqdt0(xn,sdtasdt0(X0,xn))
| ~ sdtlseqdt0(sz10,X0)
| sz10 = X0
| sz00 = xn
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn) )
| ~ spl1_50
| ~ spl1_56 ),
inference(superposition,[],[f513,f551]) ).
fof(f17388,plain,
( ~ spl1_6
| ~ spl1_4
| spl1_8
| spl1_595
| ~ spl1_49
| ~ spl1_56 ),
inference(avatar_split_clause,[],[f688,f549,f508,f17386,f173,f154,f164]) ).
fof(f17386,plain,
( spl1_595
<=> ! [X0] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xn)
| ~ aNaturalNumber0(X0)
| xn = X0
| ~ sdtlseqdt0(X0,xn) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_595])]) ).
fof(f688,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xn)
| ~ sdtlseqdt0(X0,xn)
| xn = X0
| sz00 = sz10
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10) )
| ~ spl1_49
| ~ spl1_56 ),
inference(superposition,[],[f509,f551]) ).
fof(f17320,plain,
( ~ spl1_6
| ~ spl1_4
| spl1_8
| spl1_594
| ~ spl1_49
| ~ spl1_56 ),
inference(avatar_split_clause,[],[f687,f549,f508,f17318,f173,f154,f164]) ).
fof(f17318,plain,
( spl1_594
<=> ! [X0] :
( sdtlseqdt0(xn,sdtasdt0(sz10,X0))
| ~ aNaturalNumber0(X0)
| xn = X0
| ~ sdtlseqdt0(xn,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_594])]) ).
fof(f687,plain,
( ! [X0] :
( sdtlseqdt0(xn,sdtasdt0(sz10,X0))
| ~ sdtlseqdt0(xn,X0)
| xn = X0
| sz00 = sz10
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz10) )
| ~ spl1_49
| ~ spl1_56 ),
inference(superposition,[],[f509,f551]) ).
fof(f17256,plain,
( ~ spl1_3
| ~ spl1_6
| spl1_1
| spl1_593
| ~ spl1_50
| ~ spl1_55 ),
inference(avatar_split_clause,[],[f675,f544,f512,f17254,f139,f164,f149]) ).
fof(f17254,plain,
( spl1_593
<=> ! [X0] :
( sdtlseqdt0(sdtasdt0(X0,xm),xm)
| ~ aNaturalNumber0(X0)
| sz10 = X0
| ~ sdtlseqdt0(X0,sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_593])]) ).
fof(f544,plain,
( spl1_55
<=> xm = sdtasdt0(sz10,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_55])]) ).
fof(f675,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(X0,xm),xm)
| ~ sdtlseqdt0(X0,sz10)
| sz10 = X0
| sz00 = xm
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xm) )
| ~ spl1_50
| ~ spl1_55 ),
inference(superposition,[],[f513,f546]) ).
fof(f546,plain,
( xm = sdtasdt0(sz10,xm)
| ~ spl1_55 ),
inference(avatar_component_clause,[],[f544]) ).
fof(f17188,plain,
( ~ spl1_3
| ~ spl1_6
| spl1_1
| spl1_592
| ~ spl1_50
| ~ spl1_55 ),
inference(avatar_split_clause,[],[f674,f544,f512,f17186,f139,f164,f149]) ).
fof(f17186,plain,
( spl1_592
<=> ! [X0] :
( sdtlseqdt0(xm,sdtasdt0(X0,xm))
| ~ aNaturalNumber0(X0)
| sz10 = X0
| ~ sdtlseqdt0(sz10,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_592])]) ).
fof(f674,plain,
( ! [X0] :
( sdtlseqdt0(xm,sdtasdt0(X0,xm))
| ~ sdtlseqdt0(sz10,X0)
| sz10 = X0
| sz00 = xm
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm) )
| ~ spl1_50
| ~ spl1_55 ),
inference(superposition,[],[f513,f546]) ).
fof(f17083,plain,
( ~ spl1_6
| ~ spl1_3
| spl1_8
| spl1_591
| ~ spl1_49
| ~ spl1_55 ),
inference(avatar_split_clause,[],[f673,f544,f508,f17081,f173,f149,f164]) ).
fof(f17081,plain,
( spl1_591
<=> ! [X0] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xm)
| ~ aNaturalNumber0(X0)
| xm = X0
| ~ sdtlseqdt0(X0,xm) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_591])]) ).
fof(f673,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xm)
| ~ sdtlseqdt0(X0,xm)
| xm = X0
| sz00 = sz10
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10) )
| ~ spl1_49
| ~ spl1_55 ),
inference(superposition,[],[f509,f546]) ).
fof(f17015,plain,
( ~ spl1_6
| ~ spl1_3
| spl1_8
| spl1_590
| ~ spl1_49
| ~ spl1_55 ),
inference(avatar_split_clause,[],[f672,f544,f508,f17013,f173,f149,f164]) ).
fof(f17013,plain,
( spl1_590
<=> ! [X0] :
( sdtlseqdt0(xm,sdtasdt0(sz10,X0))
| ~ aNaturalNumber0(X0)
| xm = X0
| ~ sdtlseqdt0(xm,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_590])]) ).
fof(f672,plain,
( ! [X0] :
( sdtlseqdt0(xm,sdtasdt0(sz10,X0))
| ~ sdtlseqdt0(xm,X0)
| xm = X0
| sz00 = sz10
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz10) )
| ~ spl1_49
| ~ spl1_55 ),
inference(superposition,[],[f509,f546]) ).
fof(f16951,plain,
( ~ spl1_6
| ~ spl1_4
| spl1_8
| spl1_589
| ~ spl1_50
| ~ spl1_54 ),
inference(avatar_split_clause,[],[f665,f539,f512,f16949,f173,f154,f164]) ).
fof(f16949,plain,
( spl1_589
<=> ! [X0] :
( sdtlseqdt0(sdtasdt0(X0,sz10),xn)
| ~ aNaturalNumber0(X0)
| xn = X0
| ~ sdtlseqdt0(X0,xn) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_589])]) ).
fof(f539,plain,
( spl1_54
<=> xn = sdtasdt0(xn,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_54])]) ).
fof(f665,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(X0,sz10),xn)
| ~ sdtlseqdt0(X0,xn)
| xn = X0
| sz00 = sz10
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10) )
| ~ spl1_50
| ~ spl1_54 ),
inference(superposition,[],[f513,f541]) ).
fof(f541,plain,
( xn = sdtasdt0(xn,sz10)
| ~ spl1_54 ),
inference(avatar_component_clause,[],[f539]) ).
fof(f16883,plain,
( ~ spl1_6
| ~ spl1_4
| spl1_8
| spl1_588
| ~ spl1_50
| ~ spl1_54 ),
inference(avatar_split_clause,[],[f664,f539,f512,f16881,f173,f154,f164]) ).
fof(f16881,plain,
( spl1_588
<=> ! [X0] :
( sdtlseqdt0(xn,sdtasdt0(X0,sz10))
| ~ aNaturalNumber0(X0)
| xn = X0
| ~ sdtlseqdt0(xn,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_588])]) ).
fof(f664,plain,
( ! [X0] :
( sdtlseqdt0(xn,sdtasdt0(X0,sz10))
| ~ sdtlseqdt0(xn,X0)
| xn = X0
| sz00 = sz10
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz10) )
| ~ spl1_50
| ~ spl1_54 ),
inference(superposition,[],[f513,f541]) ).
fof(f16821,plain,
( ~ spl1_4
| ~ spl1_6
| spl1_317
| spl1_587
| ~ spl1_49
| ~ spl1_54 ),
inference(avatar_split_clause,[],[f663,f539,f508,f16819,f5332,f164,f154]) ).
fof(f16819,plain,
( spl1_587
<=> ! [X0] :
( sdtlseqdt0(sdtasdt0(xn,X0),xn)
| ~ aNaturalNumber0(X0)
| sz10 = X0
| ~ sdtlseqdt0(X0,sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_587])]) ).
fof(f663,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(xn,X0),xn)
| ~ sdtlseqdt0(X0,sz10)
| sz10 = X0
| sz00 = xn
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xn) )
| ~ spl1_49
| ~ spl1_54 ),
inference(superposition,[],[f509,f541]) ).
fof(f16753,plain,
( ~ spl1_4
| ~ spl1_6
| spl1_317
| spl1_586
| ~ spl1_49
| ~ spl1_54 ),
inference(avatar_split_clause,[],[f662,f539,f508,f16751,f5332,f164,f154]) ).
fof(f662,plain,
( ! [X0] :
( sdtlseqdt0(xn,sdtasdt0(xn,X0))
| ~ sdtlseqdt0(sz10,X0)
| sz10 = X0
| sz00 = xn
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn) )
| ~ spl1_49
| ~ spl1_54 ),
inference(superposition,[],[f509,f541]) ).
fof(f16689,plain,
( ~ spl1_6
| ~ spl1_3
| spl1_8
| spl1_585
| ~ spl1_50
| ~ spl1_53 ),
inference(avatar_split_clause,[],[f655,f534,f512,f16687,f173,f149,f164]) ).
fof(f16687,plain,
( spl1_585
<=> ! [X0] :
( sdtlseqdt0(sdtasdt0(X0,sz10),xm)
| ~ aNaturalNumber0(X0)
| xm = X0
| ~ sdtlseqdt0(X0,xm) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_585])]) ).
fof(f534,plain,
( spl1_53
<=> xm = sdtasdt0(xm,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_53])]) ).
fof(f655,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(X0,sz10),xm)
| ~ sdtlseqdt0(X0,xm)
| xm = X0
| sz00 = sz10
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10) )
| ~ spl1_50
| ~ spl1_53 ),
inference(superposition,[],[f513,f536]) ).
fof(f536,plain,
( xm = sdtasdt0(xm,sz10)
| ~ spl1_53 ),
inference(avatar_component_clause,[],[f534]) ).
fof(f16621,plain,
( ~ spl1_6
| ~ spl1_3
| spl1_8
| spl1_584
| ~ spl1_50
| ~ spl1_53 ),
inference(avatar_split_clause,[],[f654,f534,f512,f16619,f173,f149,f164]) ).
fof(f16619,plain,
( spl1_584
<=> ! [X0] :
( sdtlseqdt0(xm,sdtasdt0(X0,sz10))
| ~ aNaturalNumber0(X0)
| xm = X0
| ~ sdtlseqdt0(xm,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_584])]) ).
fof(f654,plain,
( ! [X0] :
( sdtlseqdt0(xm,sdtasdt0(X0,sz10))
| ~ sdtlseqdt0(xm,X0)
| xm = X0
| sz00 = sz10
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz10) )
| ~ spl1_50
| ~ spl1_53 ),
inference(superposition,[],[f513,f536]) ).
fof(f16560,plain,
( ~ spl1_3
| ~ spl1_6
| spl1_1
| spl1_583
| ~ spl1_49
| ~ spl1_53 ),
inference(avatar_split_clause,[],[f653,f534,f508,f16558,f139,f164,f149]) ).
fof(f16558,plain,
( spl1_583
<=> ! [X0] :
( sdtlseqdt0(sdtasdt0(xm,X0),xm)
| ~ aNaturalNumber0(X0)
| sz10 = X0
| ~ sdtlseqdt0(X0,sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_583])]) ).
fof(f653,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(xm,X0),xm)
| ~ sdtlseqdt0(X0,sz10)
| sz10 = X0
| sz00 = xm
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xm) )
| ~ spl1_49
| ~ spl1_53 ),
inference(superposition,[],[f509,f536]) ).
fof(f16495,plain,
( ~ spl1_3
| ~ spl1_6
| spl1_1
| spl1_582
| ~ spl1_49
| ~ spl1_53 ),
inference(avatar_split_clause,[],[f652,f534,f508,f16493,f139,f164,f149]) ).
fof(f16493,plain,
( spl1_582
<=> ! [X0] :
( sdtlseqdt0(xm,sdtasdt0(xm,X0))
| ~ aNaturalNumber0(X0)
| sz10 = X0
| ~ sdtlseqdt0(sz10,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_582])]) ).
fof(f652,plain,
( ! [X0] :
( sdtlseqdt0(xm,sdtasdt0(xm,X0))
| ~ sdtlseqdt0(sz10,X0)
| sz10 = X0
| sz00 = xm
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm) )
| ~ spl1_49
| ~ spl1_53 ),
inference(superposition,[],[f509,f536]) ).
fof(f16420,plain,
( spl1_581
| ~ spl1_3
| ~ spl1_6
| ~ spl1_55
| ~ spl1_56
| ~ spl1_464
| ~ spl1_489
| ~ spl1_575 ),
inference(avatar_split_clause,[],[f16154,f15800,f10739,f9897,f549,f544,f164,f149,f16417]) ).
fof(f9897,plain,
( spl1_464
<=> ! [X0] :
( sdtasdt0(X0,xm) = sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(X0,xn))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_464])]) ).
fof(f10739,plain,
( spl1_489
<=> sz10 = sdtasdt0(xm,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_489])]) ).
fof(f15800,plain,
( spl1_575
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,xn),xm) = sdtpldt0(sdtasdt0(X0,xm),xn)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_575])]) ).
fof(f16154,plain,
( sz10 = sdtpldt0(sz10,xn)
| ~ spl1_3
| ~ spl1_6
| ~ spl1_55
| ~ spl1_56
| ~ spl1_464
| ~ spl1_489
| ~ spl1_575 ),
inference(forward_demodulation,[],[f16153,f10741]) ).
fof(f10741,plain,
( sz10 = sdtasdt0(xm,xm)
| ~ spl1_489 ),
inference(avatar_component_clause,[],[f10739]) ).
fof(f16153,plain,
( sdtpldt0(sz10,xn) = sdtasdt0(xm,xm)
| ~ spl1_3
| ~ spl1_6
| ~ spl1_55
| ~ spl1_56
| ~ spl1_464
| ~ spl1_489
| ~ spl1_575 ),
inference(forward_demodulation,[],[f16152,f10136]) ).
fof(f10136,plain,
( xm = sdtpldt0(xm,xn)
| ~ spl1_6
| ~ spl1_55
| ~ spl1_56
| ~ spl1_464 ),
inference(forward_demodulation,[],[f10135,f546]) ).
fof(f10135,plain,
( sdtasdt0(sz10,xm) = sdtpldt0(sdtasdt0(sz10,xm),xn)
| ~ spl1_6
| ~ spl1_56
| ~ spl1_464 ),
inference(forward_demodulation,[],[f10125,f551]) ).
fof(f10125,plain,
( sdtasdt0(sz10,xm) = sdtpldt0(sdtasdt0(sz10,xm),sdtasdt0(sz10,xn))
| ~ spl1_6
| ~ spl1_464 ),
inference(resolution,[],[f9898,f166]) ).
fof(f166,plain,
( aNaturalNumber0(sz10)
| ~ spl1_6 ),
inference(avatar_component_clause,[],[f164]) ).
fof(f9898,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,xm) = sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(X0,xn)) )
| ~ spl1_464 ),
inference(avatar_component_clause,[],[f9897]) ).
fof(f16152,plain,
( sdtpldt0(sz10,xn) = sdtasdt0(sdtpldt0(xm,xn),xm)
| ~ spl1_3
| ~ spl1_489
| ~ spl1_575 ),
inference(forward_demodulation,[],[f16131,f10741]) ).
fof(f16131,plain,
( sdtasdt0(sdtpldt0(xm,xn),xm) = sdtpldt0(sdtasdt0(xm,xm),xn)
| ~ spl1_3
| ~ spl1_575 ),
inference(resolution,[],[f15801,f151]) ).
fof(f15801,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtpldt0(X0,xn),xm) = sdtpldt0(sdtasdt0(X0,xm),xn) )
| ~ spl1_575 ),
inference(avatar_component_clause,[],[f15800]) ).
fof(f16415,plain,
( ~ spl1_4
| ~ spl1_5
| spl1_317
| spl1_580
| ~ spl1_37
| ~ spl1_50 ),
inference(avatar_split_clause,[],[f592,f512,f401,f16413,f5332,f159,f154]) ).
fof(f16413,plain,
( spl1_580
<=> ! [X0] :
( sdtlseqdt0(sdtasdt0(X0,xn),sz00)
| ~ aNaturalNumber0(X0)
| sz00 = X0
| ~ sdtlseqdt0(X0,sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_580])]) ).
fof(f401,plain,
( spl1_37
<=> sz00 = sdtasdt0(sz00,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_37])]) ).
fof(f592,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(X0,xn),sz00)
| ~ sdtlseqdt0(X0,sz00)
| sz00 = X0
| sz00 = xn
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xn) )
| ~ spl1_37
| ~ spl1_50 ),
inference(superposition,[],[f513,f403]) ).
fof(f403,plain,
( sz00 = sdtasdt0(sz00,xn)
| ~ spl1_37 ),
inference(avatar_component_clause,[],[f401]) ).
fof(f16350,plain,
( ~ spl1_4
| ~ spl1_5
| spl1_317
| spl1_579
| ~ spl1_37
| ~ spl1_50 ),
inference(avatar_split_clause,[],[f591,f512,f401,f16348,f5332,f159,f154]) ).
fof(f16348,plain,
( spl1_579
<=> ! [X0] :
( sdtlseqdt0(sz00,sdtasdt0(X0,xn))
| ~ aNaturalNumber0(X0)
| sz00 = X0
| ~ sdtlseqdt0(sz00,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_579])]) ).
fof(f591,plain,
( ! [X0] :
( sdtlseqdt0(sz00,sdtasdt0(X0,xn))
| ~ sdtlseqdt0(sz00,X0)
| sz00 = X0
| sz00 = xn
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) )
| ~ spl1_37
| ~ spl1_50 ),
inference(superposition,[],[f513,f403]) ).
fof(f16286,plain,
( ~ spl1_3
| ~ spl1_5
| spl1_1
| spl1_578
| ~ spl1_30
| ~ spl1_50 ),
inference(avatar_split_clause,[],[f582,f512,f342,f16284,f139,f159,f149]) ).
fof(f16284,plain,
( spl1_578
<=> ! [X0] :
( sdtlseqdt0(sdtasdt0(X0,xm),sz00)
| ~ aNaturalNumber0(X0)
| sz00 = X0
| ~ sdtlseqdt0(X0,sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_578])]) ).
fof(f342,plain,
( spl1_30
<=> sz00 = sdtasdt0(sz00,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_30])]) ).
fof(f582,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(X0,xm),sz00)
| ~ sdtlseqdt0(X0,sz00)
| sz00 = X0
| sz00 = xm
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xm) )
| ~ spl1_30
| ~ spl1_50 ),
inference(superposition,[],[f513,f344]) ).
fof(f344,plain,
( sz00 = sdtasdt0(sz00,xm)
| ~ spl1_30 ),
inference(avatar_component_clause,[],[f342]) ).
fof(f16219,plain,
( ~ spl1_3
| ~ spl1_5
| spl1_1
| spl1_577
| ~ spl1_30
| ~ spl1_50 ),
inference(avatar_split_clause,[],[f581,f512,f342,f16217,f139,f159,f149]) ).
fof(f16217,plain,
( spl1_577
<=> ! [X0] :
( sdtlseqdt0(sz00,sdtasdt0(X0,xm))
| ~ aNaturalNumber0(X0)
| sz00 = X0
| ~ sdtlseqdt0(sz00,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_577])]) ).
fof(f581,plain,
( ! [X0] :
( sdtlseqdt0(sz00,sdtasdt0(X0,xm))
| ~ sdtlseqdt0(sz00,X0)
| sz00 = X0
| sz00 = xm
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) )
| ~ spl1_30
| ~ spl1_50 ),
inference(superposition,[],[f513,f344]) ).
fof(f16107,plain,
( spl1_57
| ~ spl1_18
| ~ spl1_37
| ~ spl1_102
| ~ spl1_302
| ~ spl1_317 ),
inference(avatar_split_clause,[],[f15670,f5332,f5224,f1324,f401,f250,f677]) ).
fof(f677,plain,
( spl1_57
<=> xn = sdtasdt0(xn,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_57])]) ).
fof(f250,plain,
( spl1_18
<=> sz00 = sdtasdt0(xm,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_18])]) ).
fof(f1324,plain,
( spl1_102
<=> aNaturalNumber0(sdtasdt0(xm,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_102])]) ).
fof(f5224,plain,
( spl1_302
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,xn),xm) = sdtasdt0(X0,sdtasdt0(xm,xn))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_302])]) ).
fof(f15670,plain,
( xn = sdtasdt0(xn,xm)
| ~ spl1_18
| ~ spl1_37
| ~ spl1_102
| ~ spl1_302
| ~ spl1_317 ),
inference(forward_demodulation,[],[f5801,f10053]) ).
fof(f10053,plain,
( xn = sdtasdt0(xn,xn)
| ~ spl1_37
| ~ spl1_317 ),
inference(superposition,[],[f403,f5334]) ).
fof(f5334,plain,
( sz00 = xn
| ~ spl1_317 ),
inference(avatar_component_clause,[],[f5332]) ).
fof(f5801,plain,
( sdtasdt0(xn,xn) = sdtasdt0(sdtasdt0(xn,xn),xm)
| ~ spl1_18
| ~ spl1_102
| ~ spl1_302
| ~ spl1_317 ),
inference(forward_demodulation,[],[f5790,f5512]) ).
fof(f5512,plain,
( xn = sdtasdt0(xm,xn)
| ~ spl1_18
| ~ spl1_317 ),
inference(superposition,[],[f252,f5334]) ).
fof(f252,plain,
( sz00 = sdtasdt0(xm,sz00)
| ~ spl1_18 ),
inference(avatar_component_clause,[],[f250]) ).
fof(f5790,plain,
( sdtasdt0(sdtasdt0(sdtasdt0(xm,xn),xn),xm) = sdtasdt0(sdtasdt0(xm,xn),sdtasdt0(xm,xn))
| ~ spl1_102
| ~ spl1_302 ),
inference(resolution,[],[f5225,f1325]) ).
fof(f1325,plain,
( aNaturalNumber0(sdtasdt0(xm,xn))
| ~ spl1_102 ),
inference(avatar_component_clause,[],[f1324]) ).
fof(f5225,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,xn),xm) = sdtasdt0(X0,sdtasdt0(xm,xn)) )
| ~ spl1_302 ),
inference(avatar_component_clause,[],[f5224]) ).
fof(f15887,plain,
( ~ spl1_4
| ~ spl1_5
| spl1_317
| spl1_576
| ~ spl1_25
| ~ spl1_49 ),
inference(avatar_split_clause,[],[f570,f508,f295,f15885,f5332,f159,f154]) ).
fof(f15885,plain,
( spl1_576
<=> ! [X0] :
( sdtlseqdt0(sdtasdt0(xn,X0),sz00)
| ~ aNaturalNumber0(X0)
| sz00 = X0
| ~ sdtlseqdt0(X0,sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_576])]) ).
fof(f295,plain,
( spl1_25
<=> sz00 = sdtasdt0(xn,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_25])]) ).
fof(f570,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(xn,X0),sz00)
| ~ sdtlseqdt0(X0,sz00)
| sz00 = X0
| sz00 = xn
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xn) )
| ~ spl1_25
| ~ spl1_49 ),
inference(superposition,[],[f509,f297]) ).
fof(f297,plain,
( sz00 = sdtasdt0(xn,sz00)
| ~ spl1_25 ),
inference(avatar_component_clause,[],[f295]) ).
fof(f15802,plain,
( spl1_575
| ~ spl1_317
| ~ spl1_324 ),
inference(avatar_split_clause,[],[f5578,f5575,f5332,f15800]) ).
fof(f5575,plain,
( spl1_324
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz00),xm) = sdtpldt0(sdtasdt0(X0,xm),sz00)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_324])]) ).
fof(f5578,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,xn),xm) = sdtpldt0(sdtasdt0(X0,xm),xn)
| ~ aNaturalNumber0(X0) )
| ~ spl1_317
| ~ spl1_324 ),
inference(forward_demodulation,[],[f5576,f5334]) ).
fof(f5576,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtpldt0(X0,sz00),xm) = sdtpldt0(sdtasdt0(X0,xm),sz00) )
| ~ spl1_324 ),
inference(avatar_component_clause,[],[f5575]) ).
fof(f15560,plain,
( ~ spl1_4
| ~ spl1_5
| spl1_317
| spl1_574
| ~ spl1_25
| ~ spl1_49 ),
inference(avatar_split_clause,[],[f569,f508,f295,f15558,f5332,f159,f154]) ).
fof(f15558,plain,
( spl1_574
<=> ! [X0] :
( sdtlseqdt0(sz00,sdtasdt0(xn,X0))
| ~ aNaturalNumber0(X0)
| sz00 = X0
| ~ sdtlseqdt0(sz00,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_574])]) ).
fof(f569,plain,
( ! [X0] :
( sdtlseqdt0(sz00,sdtasdt0(xn,X0))
| ~ sdtlseqdt0(sz00,X0)
| sz00 = X0
| sz00 = xn
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) )
| ~ spl1_25
| ~ spl1_49 ),
inference(superposition,[],[f509,f297]) ).
fof(f15498,plain,
( spl1_573
| ~ spl1_3
| ~ spl1_53
| ~ spl1_196
| ~ spl1_365
| ~ spl1_490 ),
inference(avatar_split_clause,[],[f12035,f10743,f6886,f3689,f534,f149,f15495]) ).
fof(f15495,plain,
( spl1_573
<=> sz00 = sdtasdt0(sdtasdt0(xm,sdtpldt0(xm,sz10)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_573])]) ).
fof(f3689,plain,
( spl1_196
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtpldt0(xm,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_196])]) ).
fof(f6886,plain,
( spl1_365
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,xm)) = sdtasdt0(X0,sdtpldt0(xm,sz10))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_365])]) ).
fof(f10743,plain,
( spl1_490
<=> aNaturalNumber0(sdtasdt0(xm,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_490])]) ).
fof(f12035,plain,
( sz00 = sdtasdt0(sdtasdt0(xm,sdtpldt0(xm,sz10)),sz00)
| ~ spl1_3
| ~ spl1_53
| ~ spl1_196
| ~ spl1_365
| ~ spl1_490 ),
inference(forward_demodulation,[],[f11837,f7079]) ).
fof(f7079,plain,
( sdtasdt0(xm,sdtpldt0(xm,sz10)) = sdtpldt0(xm,sdtasdt0(xm,xm))
| ~ spl1_3
| ~ spl1_53
| ~ spl1_365 ),
inference(forward_demodulation,[],[f7068,f536]) ).
fof(f7068,plain,
( sdtpldt0(sdtasdt0(xm,sz10),sdtasdt0(xm,xm)) = sdtasdt0(xm,sdtpldt0(xm,sz10))
| ~ spl1_3
| ~ spl1_365 ),
inference(resolution,[],[f6887,f151]) ).
fof(f6887,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,xm)) = sdtasdt0(X0,sdtpldt0(xm,sz10)) )
| ~ spl1_365 ),
inference(avatar_component_clause,[],[f6886]) ).
fof(f11837,plain,
( sz00 = sdtasdt0(sdtpldt0(xm,sdtasdt0(xm,xm)),sz00)
| ~ spl1_196
| ~ spl1_490 ),
inference(resolution,[],[f10744,f3690]) ).
fof(f3690,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtpldt0(xm,X0),sz00) )
| ~ spl1_196 ),
inference(avatar_component_clause,[],[f3689]) ).
fof(f10744,plain,
( aNaturalNumber0(sdtasdt0(xm,xm))
| ~ spl1_490 ),
inference(avatar_component_clause,[],[f10743]) ).
fof(f15493,plain,
( ~ spl1_3
| ~ spl1_5
| spl1_1
| spl1_572
| ~ spl1_18
| ~ spl1_49 ),
inference(avatar_split_clause,[],[f560,f508,f250,f15491,f139,f159,f149]) ).
fof(f15491,plain,
( spl1_572
<=> ! [X0] :
( sdtlseqdt0(sdtasdt0(xm,X0),sz00)
| ~ aNaturalNumber0(X0)
| sz00 = X0
| ~ sdtlseqdt0(X0,sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_572])]) ).
fof(f560,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(xm,X0),sz00)
| ~ sdtlseqdt0(X0,sz00)
| sz00 = X0
| sz00 = xm
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xm) )
| ~ spl1_18
| ~ spl1_49 ),
inference(superposition,[],[f509,f252]) ).
fof(f15428,plain,
( ~ spl1_3
| ~ spl1_5
| spl1_1
| spl1_571
| ~ spl1_18
| ~ spl1_49 ),
inference(avatar_split_clause,[],[f559,f508,f250,f15426,f139,f159,f149]) ).
fof(f15426,plain,
( spl1_571
<=> ! [X0] :
( sdtlseqdt0(sz00,sdtasdt0(xm,X0))
| ~ aNaturalNumber0(X0)
| sz00 = X0
| ~ sdtlseqdt0(sz00,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_571])]) ).
fof(f559,plain,
( ! [X0] :
( sdtlseqdt0(sz00,sdtasdt0(xm,X0))
| ~ sdtlseqdt0(sz00,X0)
| sz00 = X0
| sz00 = xm
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) )
| ~ spl1_18
| ~ spl1_49 ),
inference(superposition,[],[f509,f252]) ).
fof(f14656,plain,
( spl1_570
| ~ spl1_3
| ~ spl1_53
| ~ spl1_193
| ~ spl1_365
| ~ spl1_490 ),
inference(avatar_split_clause,[],[f12034,f10743,f6886,f3676,f534,f149,f14653]) ).
fof(f14653,plain,
( spl1_570
<=> sz00 = sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xm,sz10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_570])]) ).
fof(f3676,plain,
( spl1_193
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(xm,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_193])]) ).
fof(f12034,plain,
( sz00 = sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xm,sz10)))
| ~ spl1_3
| ~ spl1_53
| ~ spl1_193
| ~ spl1_365
| ~ spl1_490 ),
inference(forward_demodulation,[],[f11835,f7079]) ).
fof(f11835,plain,
( sz00 = sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xm,xm)))
| ~ spl1_193
| ~ spl1_490 ),
inference(resolution,[],[f10744,f3677]) ).
fof(f3677,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(xm,X0)) )
| ~ spl1_193 ),
inference(avatar_component_clause,[],[f3676]) ).
fof(f14551,plain,
( spl1_569
| ~ spl1_209
| ~ spl1_490 ),
inference(avatar_split_clause,[],[f11846,f10743,f3845,f14548]) ).
fof(f14548,plain,
( spl1_569
<=> sz00 = sdtasdt0(sdtpldt0(sz10,sdtasdt0(xm,xm)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_569])]) ).
fof(f3845,plain,
( spl1_209
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtpldt0(sz10,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_209])]) ).
fof(f11846,plain,
( sz00 = sdtasdt0(sdtpldt0(sz10,sdtasdt0(xm,xm)),sz00)
| ~ spl1_209
| ~ spl1_490 ),
inference(resolution,[],[f10744,f3846]) ).
fof(f3846,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtpldt0(sz10,X0),sz00) )
| ~ spl1_209 ),
inference(avatar_component_clause,[],[f3845]) ).
fof(f14466,plain,
( ~ spl1_6
| spl1_568
| ~ spl1_20
| ~ spl1_117 ),
inference(avatar_split_clause,[],[f1634,f1478,f263,f14464,f164]) ).
fof(f14464,plain,
( spl1_568
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = X0
| sz10 = X0
| sdtmndt0(X0,sz10) = sdtasdt0(sz10,sdtmndt0(X0,sz10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_568])]) ).
fof(f1634,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10)
| sdtmndt0(X0,sz10) = sdtasdt0(sz10,sdtmndt0(X0,sz10))
| sz10 = X0
| sz00 = X0 )
| ~ spl1_20
| ~ spl1_117 ),
inference(duplicate_literal_removal,[],[f1629]) ).
fof(f1629,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10)
| sdtmndt0(X0,sz10) = sdtasdt0(sz10,sdtmndt0(X0,sz10))
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl1_20
| ~ spl1_117 ),
inference(resolution,[],[f1479,f264]) ).
fof(f14452,plain,
( spl1_567
| ~ spl1_207
| ~ spl1_490 ),
inference(avatar_split_clause,[],[f11844,f10743,f3837,f14449]) ).
fof(f14449,plain,
( spl1_567
<=> sz00 = sdtasdt0(sz00,sdtpldt0(sz10,sdtasdt0(xm,xm))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_567])]) ).
fof(f3837,plain,
( spl1_207
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(sz10,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_207])]) ).
fof(f11844,plain,
( sz00 = sdtasdt0(sz00,sdtpldt0(sz10,sdtasdt0(xm,xm)))
| ~ spl1_207
| ~ spl1_490 ),
inference(resolution,[],[f10744,f3838]) ).
fof(f3838,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(sz10,X0)) )
| ~ spl1_207 ),
inference(avatar_component_clause,[],[f3837]) ).
fof(f14447,plain,
( ~ spl1_6
| spl1_566
| ~ spl1_20
| ~ spl1_116 ),
inference(avatar_split_clause,[],[f1614,f1473,f263,f14445,f164]) ).
fof(f14445,plain,
( spl1_566
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = X0
| sz10 = X0
| sdtmndt0(X0,sz10) = sdtasdt0(sdtmndt0(X0,sz10),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_566])]) ).
fof(f1614,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10)
| sdtmndt0(X0,sz10) = sdtasdt0(sdtmndt0(X0,sz10),sz10)
| sz10 = X0
| sz00 = X0 )
| ~ spl1_20
| ~ spl1_116 ),
inference(duplicate_literal_removal,[],[f1609]) ).
fof(f1609,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10)
| sdtmndt0(X0,sz10) = sdtasdt0(sdtmndt0(X0,sz10),sz10)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl1_20
| ~ spl1_116 ),
inference(resolution,[],[f1474,f264]) ).
fof(f14433,plain,
( ~ spl1_6
| spl1_565
| ~ spl1_20
| ~ spl1_115 ),
inference(avatar_split_clause,[],[f1594,f1469,f263,f14431,f164]) ).
fof(f14431,plain,
( spl1_565
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = X0
| sz10 = X0
| sdtmndt0(X0,sz10) = sdtpldt0(sz00,sdtmndt0(X0,sz10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_565])]) ).
fof(f1594,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10)
| sdtmndt0(X0,sz10) = sdtpldt0(sz00,sdtmndt0(X0,sz10))
| sz10 = X0
| sz00 = X0 )
| ~ spl1_20
| ~ spl1_115 ),
inference(duplicate_literal_removal,[],[f1589]) ).
fof(f1589,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10)
| sdtmndt0(X0,sz10) = sdtpldt0(sz00,sdtmndt0(X0,sz10))
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl1_20
| ~ spl1_115 ),
inference(resolution,[],[f1470,f264]) ).
fof(f14419,plain,
( ~ spl1_6
| spl1_564
| ~ spl1_20
| ~ spl1_114 ),
inference(avatar_split_clause,[],[f1574,f1465,f263,f14417,f164]) ).
fof(f14417,plain,
( spl1_564
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = X0
| sz10 = X0
| sdtmndt0(X0,sz10) = sdtpldt0(sdtmndt0(X0,sz10),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_564])]) ).
fof(f1574,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10)
| sdtmndt0(X0,sz10) = sdtpldt0(sdtmndt0(X0,sz10),sz00)
| sz10 = X0
| sz00 = X0 )
| ~ spl1_20
| ~ spl1_114 ),
inference(duplicate_literal_removal,[],[f1569]) ).
fof(f1569,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10)
| sdtmndt0(X0,sz10) = sdtpldt0(sdtmndt0(X0,sz10),sz00)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl1_20
| ~ spl1_114 ),
inference(resolution,[],[f1466,f264]) ).
fof(f14405,plain,
( ~ spl1_6
| spl1_563
| ~ spl1_20
| ~ spl1_113 ),
inference(avatar_split_clause,[],[f1554,f1461,f263,f14403,f164]) ).
fof(f14403,plain,
( spl1_563
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = X0
| sz10 = X0
| sK0(sz10,X0) = sdtasdt0(sz10,sK0(sz10,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_563])]) ).
fof(f1554,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10)
| sK0(sz10,X0) = sdtasdt0(sz10,sK0(sz10,X0))
| sz10 = X0
| sz00 = X0 )
| ~ spl1_20
| ~ spl1_113 ),
inference(duplicate_literal_removal,[],[f1549]) ).
fof(f1549,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10)
| sK0(sz10,X0) = sdtasdt0(sz10,sK0(sz10,X0))
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl1_20
| ~ spl1_113 ),
inference(resolution,[],[f1462,f264]) ).
fof(f14391,plain,
( ~ spl1_6
| spl1_562
| ~ spl1_20
| ~ spl1_112 ),
inference(avatar_split_clause,[],[f1534,f1457,f263,f14389,f164]) ).
fof(f14389,plain,
( spl1_562
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = X0
| sz10 = X0
| sK0(sz10,X0) = sdtasdt0(sK0(sz10,X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_562])]) ).
fof(f1534,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10)
| sK0(sz10,X0) = sdtasdt0(sK0(sz10,X0),sz10)
| sz10 = X0
| sz00 = X0 )
| ~ spl1_20
| ~ spl1_112 ),
inference(duplicate_literal_removal,[],[f1529]) ).
fof(f1529,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10)
| sK0(sz10,X0) = sdtasdt0(sK0(sz10,X0),sz10)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl1_20
| ~ spl1_112 ),
inference(resolution,[],[f1458,f264]) ).
fof(f14377,plain,
( spl1_561
| ~ spl1_200
| ~ spl1_490 ),
inference(avatar_split_clause,[],[f11841,f10743,f3705,f14374]) ).
fof(f14374,plain,
( spl1_561
<=> sz00 = sdtasdt0(sdtasdt0(xm,sdtasdt0(xm,xm)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_561])]) ).
fof(f3705,plain,
( spl1_200
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtasdt0(xm,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_200])]) ).
fof(f11841,plain,
( sz00 = sdtasdt0(sdtasdt0(xm,sdtasdt0(xm,xm)),sz00)
| ~ spl1_200
| ~ spl1_490 ),
inference(resolution,[],[f10744,f3706]) ).
fof(f3706,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtasdt0(xm,X0),sz00) )
| ~ spl1_200 ),
inference(avatar_component_clause,[],[f3705]) ).
fof(f14372,plain,
( ~ spl1_6
| spl1_560
| ~ spl1_20
| ~ spl1_111 ),
inference(avatar_split_clause,[],[f1514,f1453,f263,f14370,f164]) ).
fof(f14370,plain,
( spl1_560
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = X0
| sz10 = X0
| sK0(sz10,X0) = sdtpldt0(sz00,sK0(sz10,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_560])]) ).
fof(f1514,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10)
| sK0(sz10,X0) = sdtpldt0(sz00,sK0(sz10,X0))
| sz10 = X0
| sz00 = X0 )
| ~ spl1_20
| ~ spl1_111 ),
inference(duplicate_literal_removal,[],[f1509]) ).
fof(f1509,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10)
| sK0(sz10,X0) = sdtpldt0(sz00,sK0(sz10,X0))
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl1_20
| ~ spl1_111 ),
inference(resolution,[],[f1454,f264]) ).
fof(f14358,plain,
( ~ spl1_6
| spl1_559
| ~ spl1_20
| ~ spl1_110 ),
inference(avatar_split_clause,[],[f1494,f1449,f263,f14356,f164]) ).
fof(f14356,plain,
( spl1_559
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = X0
| sz10 = X0
| sK0(sz10,X0) = sdtpldt0(sK0(sz10,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_559])]) ).
fof(f1494,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10)
| sK0(sz10,X0) = sdtpldt0(sK0(sz10,X0),sz00)
| sz10 = X0
| sz00 = X0 )
| ~ spl1_20
| ~ spl1_110 ),
inference(duplicate_literal_removal,[],[f1489]) ).
fof(f1489,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10)
| sK0(sz10,X0) = sdtpldt0(sK0(sz10,X0),sz00)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl1_20
| ~ spl1_110 ),
inference(resolution,[],[f1450,f264]) ).
fof(f14354,plain,
( spl1_558
| ~ spl1_96
| ~ spl1_104 ),
inference(avatar_split_clause,[],[f1384,f1343,f1161,f14352]) ).
fof(f14352,plain,
( spl1_558
<=> ! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X2)
| sdtpldt0(X2,sdtmndt0(X0,X2)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_558])]) ).
fof(f1343,plain,
( spl1_104
<=> ! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_104])]) ).
fof(f1384,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X2)
| sdtpldt0(X2,sdtmndt0(X0,X2)) = X0 )
| ~ spl1_96
| ~ spl1_104 ),
inference(duplicate_literal_removal,[],[f1367]) ).
fof(f1367,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X2,sdtmndt0(X0,X2)) = X0 )
| ~ spl1_96
| ~ spl1_104 ),
inference(resolution,[],[f1344,f1162]) ).
fof(f1344,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X2)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X2) )
| ~ spl1_104 ),
inference(avatar_component_clause,[],[f1343]) ).
fof(f14350,plain,
( spl1_557
| ~ spl1_95
| ~ spl1_104 ),
inference(avatar_split_clause,[],[f1383,f1343,f1157,f14348]) ).
fof(f14348,plain,
( spl1_557
<=> ! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X2)
| sdtpldt0(X2,sK0(X2,X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_557])]) ).
fof(f1383,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X2)
| sdtpldt0(X2,sK0(X2,X0)) = X0 )
| ~ spl1_95
| ~ spl1_104 ),
inference(duplicate_literal_removal,[],[f1368]) ).
fof(f1368,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X2,sK0(X2,X0)) = X0 )
| ~ spl1_95
| ~ spl1_104 ),
inference(resolution,[],[f1344,f1158]) ).
fof(f14346,plain,
( spl1_556
| ~ spl1_34
| ~ spl1_96 ),
inference(avatar_split_clause,[],[f1269,f1161,f379,f14344]) ).
fof(f14344,plain,
( spl1_556
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,sdtmndt0(X0,X1)) = X0
| sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_556])]) ).
fof(f379,plain,
( spl1_34
<=> ! [X2,X0,X1] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_34])]) ).
fof(f1269,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,sdtmndt0(X0,X1)) = X0
| sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(X2) )
| ~ spl1_34
| ~ spl1_96 ),
inference(duplicate_literal_removal,[],[f1258]) ).
fof(f1258,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,sdtmndt0(X0,X1)) = X0
| sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2) )
| ~ spl1_34
| ~ spl1_96 ),
inference(resolution,[],[f1162,f380]) ).
fof(f380,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl1_34 ),
inference(avatar_component_clause,[],[f379]) ).
fof(f14342,plain,
( spl1_555
| ~ spl1_34
| ~ spl1_95 ),
inference(avatar_split_clause,[],[f1248,f1157,f379,f14340]) ).
fof(f14340,plain,
( spl1_555
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,sK0(X1,X0)) = X0
| sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_555])]) ).
fof(f1248,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,sK0(X1,X0)) = X0
| sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(X2) )
| ~ spl1_34
| ~ spl1_95 ),
inference(duplicate_literal_removal,[],[f1237]) ).
fof(f1237,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,sK0(X1,X0)) = X0
| sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2) )
| ~ spl1_34
| ~ spl1_95 ),
inference(resolution,[],[f1158,f380]) ).
fof(f14338,plain,
( spl1_554
| ~ spl1_17
| ~ spl1_88 ),
inference(avatar_split_clause,[],[f1135,f1056,f234,f14336]) ).
fof(f14336,plain,
( spl1_554
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X1,X2),X0) = sdtpldt0(sdtasdt0(sdtasdt0(X1,X2),X0),sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_554])]) ).
fof(f1056,plain,
( spl1_88
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X1,X0) = sdtpldt0(sdtasdt0(X1,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_88])]) ).
fof(f1135,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X1,X2),X0) = sdtpldt0(sdtasdt0(sdtasdt0(X1,X2),X0),sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| ~ spl1_17
| ~ spl1_88 ),
inference(resolution,[],[f1057,f235]) ).
fof(f1057,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X1,X0) = sdtpldt0(sdtasdt0(X1,X0),sz00) )
| ~ spl1_88 ),
inference(avatar_component_clause,[],[f1056]) ).
fof(f14334,plain,
( spl1_553
| ~ spl1_16
| ~ spl1_88 ),
inference(avatar_split_clause,[],[f1134,f1056,f230,f14332]) ).
fof(f14332,plain,
( spl1_553
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(sdtpldt0(X1,X2),X0),sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_553])]) ).
fof(f1134,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(sdtpldt0(X1,X2),X0),sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| ~ spl1_16
| ~ spl1_88 ),
inference(resolution,[],[f1057,f231]) ).
fof(f14330,plain,
( spl1_552
| ~ spl1_17
| ~ spl1_87 ),
inference(avatar_split_clause,[],[f1122,f1048,f234,f14328]) ).
fof(f14328,plain,
( spl1_552
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X1,X2),X0) = sdtpldt0(sz00,sdtasdt0(sdtasdt0(X1,X2),X0))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_552])]) ).
fof(f1048,plain,
( spl1_87
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X1,X0) = sdtpldt0(sz00,sdtasdt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_87])]) ).
fof(f1122,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X1,X2),X0) = sdtpldt0(sz00,sdtasdt0(sdtasdt0(X1,X2),X0))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| ~ spl1_17
| ~ spl1_87 ),
inference(resolution,[],[f1049,f235]) ).
fof(f1049,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X1,X0) = sdtpldt0(sz00,sdtasdt0(X1,X0)) )
| ~ spl1_87 ),
inference(avatar_component_clause,[],[f1048]) ).
fof(f14326,plain,
( spl1_551
| ~ spl1_198
| ~ spl1_490 ),
inference(avatar_split_clause,[],[f11839,f10743,f3697,f14323]) ).
fof(f14323,plain,
( spl1_551
<=> sz00 = sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xm,xm))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_551])]) ).
fof(f3697,plain,
( spl1_198
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtasdt0(xm,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_198])]) ).
fof(f11839,plain,
( sz00 = sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xm,xm)))
| ~ spl1_198
| ~ spl1_490 ),
inference(resolution,[],[f10744,f3698]) ).
fof(f3698,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtasdt0(xm,X0)) )
| ~ spl1_198 ),
inference(avatar_component_clause,[],[f3697]) ).
fof(f14321,plain,
( spl1_550
| ~ spl1_16
| ~ spl1_87 ),
inference(avatar_split_clause,[],[f1121,f1048,f230,f14319]) ).
fof(f14319,plain,
( spl1_550
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sz00,sdtasdt0(sdtpldt0(X1,X2),X0))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_550])]) ).
fof(f1121,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sz00,sdtasdt0(sdtpldt0(X1,X2),X0))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| ~ spl1_16
| ~ spl1_87 ),
inference(resolution,[],[f1049,f231]) ).
fof(f14317,plain,
( spl1_549
| ~ spl1_17
| ~ spl1_86 ),
inference(avatar_split_clause,[],[f1114,f1044,f234,f14315]) ).
fof(f14315,plain,
( spl1_549
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X1,X2),X0) = sdtasdt0(sdtasdt0(sdtasdt0(X1,X2),X0),sz10)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_549])]) ).
fof(f1044,plain,
( spl1_86
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X1,X0) = sdtasdt0(sdtasdt0(X1,X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_86])]) ).
fof(f1114,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X1,X2),X0) = sdtasdt0(sdtasdt0(sdtasdt0(X1,X2),X0),sz10)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| ~ spl1_17
| ~ spl1_86 ),
inference(resolution,[],[f1045,f235]) ).
fof(f1045,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X1,X0) = sdtasdt0(sdtasdt0(X1,X0),sz10) )
| ~ spl1_86 ),
inference(avatar_component_clause,[],[f1044]) ).
fof(f14313,plain,
( spl1_548
| ~ spl1_16
| ~ spl1_86 ),
inference(avatar_split_clause,[],[f1113,f1044,f230,f14311]) ).
fof(f14311,plain,
( spl1_548
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtpldt0(X1,X2),X0) = sdtasdt0(sdtasdt0(sdtpldt0(X1,X2),X0),sz10)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_548])]) ).
fof(f1113,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtpldt0(X1,X2),X0) = sdtasdt0(sdtasdt0(sdtpldt0(X1,X2),X0),sz10)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| ~ spl1_16
| ~ spl1_86 ),
inference(resolution,[],[f1045,f231]) ).
fof(f14309,plain,
( spl1_547
| ~ spl1_17
| ~ spl1_85 ),
inference(avatar_split_clause,[],[f1106,f1040,f234,f14307]) ).
fof(f14307,plain,
( spl1_547
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X1,X2),X0) = sdtasdt0(sz10,sdtasdt0(sdtasdt0(X1,X2),X0))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_547])]) ).
fof(f1040,plain,
( spl1_85
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X1,X0) = sdtasdt0(sz10,sdtasdt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_85])]) ).
fof(f1106,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X1,X2),X0) = sdtasdt0(sz10,sdtasdt0(sdtasdt0(X1,X2),X0))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| ~ spl1_17
| ~ spl1_85 ),
inference(resolution,[],[f1041,f235]) ).
fof(f1041,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X1,X0) = sdtasdt0(sz10,sdtasdt0(X1,X0)) )
| ~ spl1_85 ),
inference(avatar_component_clause,[],[f1040]) ).
fof(f14305,plain,
( spl1_546
| ~ spl1_16
| ~ spl1_85 ),
inference(avatar_split_clause,[],[f1105,f1040,f230,f14303]) ).
fof(f14303,plain,
( spl1_546
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtpldt0(X1,X2),X0) = sdtasdt0(sz10,sdtasdt0(sdtpldt0(X1,X2),X0))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_546])]) ).
fof(f1105,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtpldt0(X1,X2),X0) = sdtasdt0(sz10,sdtasdt0(sdtpldt0(X1,X2),X0))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| ~ spl1_16
| ~ spl1_85 ),
inference(resolution,[],[f1041,f231]) ).
fof(f14301,plain,
( spl1_545
| ~ spl1_17
| ~ spl1_84 ),
inference(avatar_split_clause,[],[f1098,f1036,f234,f14299]) ).
fof(f14299,plain,
( spl1_545
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtasdt0(X1,X2),X0) = sdtpldt0(sdtpldt0(sdtasdt0(X1,X2),X0),sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_545])]) ).
fof(f1036,plain,
( spl1_84
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,X0) = sdtpldt0(sdtpldt0(X1,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_84])]) ).
fof(f1098,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtasdt0(X1,X2),X0) = sdtpldt0(sdtpldt0(sdtasdt0(X1,X2),X0),sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| ~ spl1_17
| ~ spl1_84 ),
inference(resolution,[],[f1037,f235]) ).
fof(f1037,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X1,X0) = sdtpldt0(sdtpldt0(X1,X0),sz00) )
| ~ spl1_84 ),
inference(avatar_component_clause,[],[f1036]) ).
fof(f14297,plain,
( spl1_544
| ~ spl1_16
| ~ spl1_84 ),
inference(avatar_split_clause,[],[f1097,f1036,f230,f14295]) ).
fof(f14295,plain,
( spl1_544
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtpldt0(sdtpldt0(X1,X2),X0),sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_544])]) ).
fof(f1097,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtpldt0(sdtpldt0(X1,X2),X0),sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| ~ spl1_16
| ~ spl1_84 ),
inference(resolution,[],[f1037,f231]) ).
fof(f14293,plain,
( spl1_543
| ~ spl1_17
| ~ spl1_83 ),
inference(avatar_split_clause,[],[f1090,f1032,f234,f14291]) ).
fof(f14291,plain,
( spl1_543
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtasdt0(X1,X2),X0) = sdtpldt0(sz00,sdtpldt0(sdtasdt0(X1,X2),X0))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_543])]) ).
fof(f1032,plain,
( spl1_83
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,X0) = sdtpldt0(sz00,sdtpldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_83])]) ).
fof(f1090,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtasdt0(X1,X2),X0) = sdtpldt0(sz00,sdtpldt0(sdtasdt0(X1,X2),X0))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| ~ spl1_17
| ~ spl1_83 ),
inference(resolution,[],[f1033,f235]) ).
fof(f1033,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X1,X0) = sdtpldt0(sz00,sdtpldt0(X1,X0)) )
| ~ spl1_83 ),
inference(avatar_component_clause,[],[f1032]) ).
fof(f14289,plain,
( spl1_542
| ~ spl1_16
| ~ spl1_83 ),
inference(avatar_split_clause,[],[f1089,f1032,f230,f14287]) ).
fof(f14287,plain,
( spl1_542
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sz00,sdtpldt0(sdtpldt0(X1,X2),X0))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_542])]) ).
fof(f1089,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sz00,sdtpldt0(sdtpldt0(X1,X2),X0))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| ~ spl1_16
| ~ spl1_83 ),
inference(resolution,[],[f1033,f231]) ).
fof(f14285,plain,
( spl1_541
| ~ spl1_17
| ~ spl1_82 ),
inference(avatar_split_clause,[],[f1082,f1028,f234,f14283]) ).
fof(f14283,plain,
( spl1_541
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtasdt0(X1,X2),X0) = sdtasdt0(sdtpldt0(sdtasdt0(X1,X2),X0),sz10)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_541])]) ).
fof(f1028,plain,
( spl1_82
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,X0) = sdtasdt0(sdtpldt0(X1,X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_82])]) ).
fof(f1082,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtasdt0(X1,X2),X0) = sdtasdt0(sdtpldt0(sdtasdt0(X1,X2),X0),sz10)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| ~ spl1_17
| ~ spl1_82 ),
inference(resolution,[],[f1029,f235]) ).
fof(f1029,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X1,X0) = sdtasdt0(sdtpldt0(X1,X0),sz10) )
| ~ spl1_82 ),
inference(avatar_component_clause,[],[f1028]) ).
fof(f14281,plain,
( spl1_540
| ~ spl1_197
| ~ spl1_490 ),
inference(avatar_split_clause,[],[f11838,f10743,f3693,f14278]) ).
fof(f14278,plain,
( spl1_540
<=> sz00 = sdtasdt0(sdtpldt0(xn,sdtasdt0(xm,xm)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_540])]) ).
fof(f3693,plain,
( spl1_197
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtpldt0(xn,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_197])]) ).
fof(f11838,plain,
( sz00 = sdtasdt0(sdtpldt0(xn,sdtasdt0(xm,xm)),sz00)
| ~ spl1_197
| ~ spl1_490 ),
inference(resolution,[],[f10744,f3694]) ).
fof(f3694,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtpldt0(xn,X0),sz00) )
| ~ spl1_197 ),
inference(avatar_component_clause,[],[f3693]) ).
fof(f14276,plain,
( spl1_539
| ~ spl1_16
| ~ spl1_82 ),
inference(avatar_split_clause,[],[f1081,f1028,f230,f14274]) ).
fof(f14274,plain,
( spl1_539
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtpldt0(X1,X2),X0) = sdtasdt0(sdtpldt0(sdtpldt0(X1,X2),X0),sz10)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_539])]) ).
fof(f1081,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtpldt0(X1,X2),X0) = sdtasdt0(sdtpldt0(sdtpldt0(X1,X2),X0),sz10)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| ~ spl1_16
| ~ spl1_82 ),
inference(resolution,[],[f1029,f231]) ).
fof(f14272,plain,
( spl1_538
| ~ spl1_17
| ~ spl1_81 ),
inference(avatar_split_clause,[],[f1074,f1024,f234,f14270]) ).
fof(f14270,plain,
( spl1_538
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtasdt0(X1,X2),X0) = sdtasdt0(sz10,sdtpldt0(sdtasdt0(X1,X2),X0))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_538])]) ).
fof(f1024,plain,
( spl1_81
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,X0) = sdtasdt0(sz10,sdtpldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_81])]) ).
fof(f1074,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtasdt0(X1,X2),X0) = sdtasdt0(sz10,sdtpldt0(sdtasdt0(X1,X2),X0))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| ~ spl1_17
| ~ spl1_81 ),
inference(resolution,[],[f1025,f235]) ).
fof(f1025,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X1,X0) = sdtasdt0(sz10,sdtpldt0(X1,X0)) )
| ~ spl1_81 ),
inference(avatar_component_clause,[],[f1024]) ).
fof(f14268,plain,
( spl1_537
| ~ spl1_16
| ~ spl1_81 ),
inference(avatar_split_clause,[],[f1073,f1024,f230,f14266]) ).
fof(f14266,plain,
( spl1_537
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtpldt0(X1,X2),X0) = sdtasdt0(sz10,sdtpldt0(sdtpldt0(X1,X2),X0))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_537])]) ).
fof(f1073,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtpldt0(X1,X2),X0) = sdtasdt0(sz10,sdtpldt0(sdtpldt0(X1,X2),X0))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| ~ spl1_16
| ~ spl1_81 ),
inference(resolution,[],[f1025,f231]) ).
fof(f14264,plain,
( spl1_536
| ~ spl1_17
| ~ spl1_75 ),
inference(avatar_split_clause,[],[f965,f905,f234,f14262]) ).
fof(f14262,plain,
( spl1_536
<=> ! [X0,X1] :
( sdtasdt0(X0,X1) = sdtpldt0(sdtasdt0(X0,X1),sdtmndt0(sdtasdt0(X0,X1),sdtasdt0(X0,X1)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_536])]) ).
fof(f905,plain,
( spl1_75
<=> ! [X0] :
( sdtpldt0(X0,sdtmndt0(X0,X0)) = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_75])]) ).
fof(f965,plain,
( ! [X0,X1] :
( sdtasdt0(X0,X1) = sdtpldt0(sdtasdt0(X0,X1),sdtmndt0(sdtasdt0(X0,X1),sdtasdt0(X0,X1)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl1_17
| ~ spl1_75 ),
inference(resolution,[],[f906,f235]) ).
fof(f906,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sdtmndt0(X0,X0)) = X0 )
| ~ spl1_75 ),
inference(avatar_component_clause,[],[f905]) ).
fof(f14260,plain,
( spl1_535
| ~ spl1_16
| ~ spl1_75 ),
inference(avatar_split_clause,[],[f964,f905,f230,f14258]) ).
fof(f14258,plain,
( spl1_535
<=> ! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(sdtpldt0(X0,X1),sdtmndt0(sdtpldt0(X0,X1),sdtpldt0(X0,X1)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_535])]) ).
fof(f964,plain,
( ! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(sdtpldt0(X0,X1),sdtmndt0(sdtpldt0(X0,X1),sdtpldt0(X0,X1)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl1_16
| ~ spl1_75 ),
inference(resolution,[],[f906,f231]) ).
fof(f14256,plain,
( spl1_534
| ~ spl1_17
| ~ spl1_74 ),
inference(avatar_split_clause,[],[f957,f901,f234,f14254]) ).
fof(f14254,plain,
( spl1_534
<=> ! [X0,X1] :
( sdtasdt0(X0,X1) = sdtpldt0(sdtasdt0(X0,X1),sK0(sdtasdt0(X0,X1),sdtasdt0(X0,X1)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_534])]) ).
fof(f901,plain,
( spl1_74
<=> ! [X0] :
( sdtpldt0(X0,sK0(X0,X0)) = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_74])]) ).
fof(f957,plain,
( ! [X0,X1] :
( sdtasdt0(X0,X1) = sdtpldt0(sdtasdt0(X0,X1),sK0(sdtasdt0(X0,X1),sdtasdt0(X0,X1)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl1_17
| ~ spl1_74 ),
inference(resolution,[],[f902,f235]) ).
fof(f902,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sK0(X0,X0)) = X0 )
| ~ spl1_74 ),
inference(avatar_component_clause,[],[f901]) ).
fof(f14252,plain,
( spl1_533
| ~ spl1_16
| ~ spl1_74 ),
inference(avatar_split_clause,[],[f956,f901,f230,f14250]) ).
fof(f14250,plain,
( spl1_533
<=> ! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(sdtpldt0(X0,X1),sK0(sdtpldt0(X0,X1),sdtpldt0(X0,X1)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_533])]) ).
fof(f956,plain,
( ! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(sdtpldt0(X0,X1),sK0(sdtpldt0(X0,X1),sdtpldt0(X0,X1)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl1_16
| ~ spl1_74 ),
inference(resolution,[],[f902,f231]) ).
fof(f14063,plain,
( spl1_532
| ~ spl1_194
| ~ spl1_490 ),
inference(avatar_split_clause,[],[f11836,f10743,f3680,f14060]) ).
fof(f14060,plain,
( spl1_532
<=> sz00 = sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xm,xm))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_532])]) ).
fof(f3680,plain,
( spl1_194
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(xn,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_194])]) ).
fof(f11836,plain,
( sz00 = sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xm,xm)))
| ~ spl1_194
| ~ spl1_490 ),
inference(resolution,[],[f10744,f3681]) ).
fof(f3681,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(xn,X0)) )
| ~ spl1_194 ),
inference(avatar_component_clause,[],[f3680]) ).
fof(f12483,plain,
( spl1_531
| ~ spl1_29
| ~ spl1_104 ),
inference(avatar_split_clause,[],[f1380,f1343,f328,f12481]) ).
fof(f12481,plain,
( spl1_531
<=> ! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_531])]) ).
fof(f328,plain,
( spl1_29
<=> ! [X2,X0] :
( sdtlseqdt0(X0,sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_29])]) ).
fof(f1380,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X2) )
| ~ spl1_29
| ~ spl1_104 ),
inference(duplicate_literal_removal,[],[f1371]) ).
fof(f1371,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X0) )
| ~ spl1_29
| ~ spl1_104 ),
inference(resolution,[],[f1344,f329]) ).
fof(f329,plain,
( ! [X2,X0] :
( sdtlseqdt0(X0,sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X0) )
| ~ spl1_29 ),
inference(avatar_component_clause,[],[f328]) ).
fof(f12289,plain,
( ~ spl1_6
| spl1_530
| ~ spl1_20
| ~ spl1_104 ),
inference(avatar_split_clause,[],[f1379,f1343,f263,f12287,f164]) ).
fof(f12287,plain,
( spl1_530
<=> ! [X0,X1] :
( sdtlseqdt0(sz10,X0)
| sz00 = X1
| sz10 = X1
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_530])]) ).
fof(f1379,plain,
( ! [X0,X1] :
( sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sz10)
| sdtlseqdt0(X0,X1)
| sz10 = X1
| sz00 = X1 )
| ~ spl1_20
| ~ spl1_104 ),
inference(duplicate_literal_removal,[],[f1374]) ).
fof(f1374,plain,
( ! [X0,X1] :
( sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sz10)
| sdtlseqdt0(X0,X1)
| sz10 = X1
| sz00 = X1
| ~ aNaturalNumber0(X1) )
| ~ spl1_20
| ~ spl1_104 ),
inference(resolution,[],[f1344,f264]) ).
fof(f12285,plain,
( spl1_529
| ~ spl1_32
| ~ spl1_96 ),
inference(avatar_split_clause,[],[f1270,f1161,f351,f12283]) ).
fof(f12283,plain,
( spl1_529
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,sdtmndt0(X0,X1)) = X0
| sdtpldt0(X0,sdtmndt0(X1,X0)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_529])]) ).
fof(f351,plain,
( spl1_32
<=> ! [X0,X1] :
( sdtpldt0(X0,sdtmndt0(X1,X0)) = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_32])]) ).
fof(f1270,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,sdtmndt0(X0,X1)) = X0
| sdtpldt0(X0,sdtmndt0(X1,X0)) = X1 )
| ~ spl1_32
| ~ spl1_96 ),
inference(duplicate_literal_removal,[],[f1257]) ).
fof(f1257,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,sdtmndt0(X0,X1)) = X0
| sdtpldt0(X0,sdtmndt0(X1,X0)) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl1_32
| ~ spl1_96 ),
inference(resolution,[],[f1162,f352]) ).
fof(f352,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| sdtpldt0(X0,sdtmndt0(X1,X0)) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl1_32 ),
inference(avatar_component_clause,[],[f351]) ).
fof(f12281,plain,
( spl1_528
| ~ spl1_91
| ~ spl1_96 ),
inference(avatar_split_clause,[],[f1268,f1161,f1141,f12279]) ).
fof(f12279,plain,
( spl1_528
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,sdtmndt0(X0,X1)) = X0
| sz00 = sdtasdt0(sK0(X0,X1),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_528])]) ).
fof(f1141,plain,
( spl1_91
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sK0(X0,X1),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_91])]) ).
fof(f1268,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,sdtmndt0(X0,X1)) = X0
| sz00 = sdtasdt0(sK0(X0,X1),sz00) )
| ~ spl1_91
| ~ spl1_96 ),
inference(duplicate_literal_removal,[],[f1259]) ).
fof(f1259,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,sdtmndt0(X0,X1)) = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sK0(X0,X1),sz00) )
| ~ spl1_91
| ~ spl1_96 ),
inference(resolution,[],[f1162,f1142]) ).
fof(f1142,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sK0(X0,X1),sz00) )
| ~ spl1_91 ),
inference(avatar_component_clause,[],[f1141]) ).
fof(f12277,plain,
( spl1_527
| ~ spl1_92
| ~ spl1_96 ),
inference(avatar_split_clause,[],[f1267,f1161,f1145,f12275]) ).
fof(f12275,plain,
( spl1_527
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,sdtmndt0(X0,X1)) = X0
| sz00 = sdtasdt0(sz00,sK0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_527])]) ).
fof(f1145,plain,
( spl1_92
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sK0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_92])]) ).
fof(f1267,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,sdtmndt0(X0,X1)) = X0
| sz00 = sdtasdt0(sz00,sK0(X0,X1)) )
| ~ spl1_92
| ~ spl1_96 ),
inference(duplicate_literal_removal,[],[f1260]) ).
fof(f1260,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,sdtmndt0(X0,X1)) = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sK0(X0,X1)) )
| ~ spl1_92
| ~ spl1_96 ),
inference(resolution,[],[f1162,f1146]) ).
fof(f1146,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sK0(X0,X1)) )
| ~ spl1_92 ),
inference(avatar_component_clause,[],[f1145]) ).
fof(f12273,plain,
( spl1_526
| ~ spl1_93
| ~ spl1_96 ),
inference(avatar_split_clause,[],[f1266,f1161,f1149,f12271]) ).
fof(f12271,plain,
( spl1_526
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,sdtmndt0(X0,X1)) = X0
| sz00 = sdtasdt0(sdtmndt0(X1,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_526])]) ).
fof(f1149,plain,
( spl1_93
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtmndt0(X1,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_93])]) ).
fof(f1266,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,sdtmndt0(X0,X1)) = X0
| sz00 = sdtasdt0(sdtmndt0(X1,X0),sz00) )
| ~ spl1_93
| ~ spl1_96 ),
inference(duplicate_literal_removal,[],[f1261]) ).
fof(f1261,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,sdtmndt0(X0,X1)) = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtmndt0(X1,X0),sz00) )
| ~ spl1_93
| ~ spl1_96 ),
inference(resolution,[],[f1162,f1150]) ).
fof(f1150,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtmndt0(X1,X0),sz00) )
| ~ spl1_93 ),
inference(avatar_component_clause,[],[f1149]) ).
fof(f12269,plain,
( spl1_525
| ~ spl1_94
| ~ spl1_96 ),
inference(avatar_split_clause,[],[f1265,f1161,f1153,f12267]) ).
fof(f12267,plain,
( spl1_525
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,sdtmndt0(X0,X1)) = X0
| sz00 = sdtasdt0(sz00,sdtmndt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_525])]) ).
fof(f1153,plain,
( spl1_94
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtmndt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_94])]) ).
fof(f1265,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,sdtmndt0(X0,X1)) = X0
| sz00 = sdtasdt0(sz00,sdtmndt0(X1,X0)) )
| ~ spl1_94
| ~ spl1_96 ),
inference(duplicate_literal_removal,[],[f1262]) ).
fof(f1262,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,sdtmndt0(X0,X1)) = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtmndt0(X1,X0)) )
| ~ spl1_94
| ~ spl1_96 ),
inference(resolution,[],[f1162,f1154]) ).
fof(f1154,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtmndt0(X1,X0)) )
| ~ spl1_94 ),
inference(avatar_component_clause,[],[f1153]) ).
fof(f12265,plain,
( spl1_524
| ~ spl1_31
| ~ spl1_95 ),
inference(avatar_split_clause,[],[f1250,f1157,f347,f12263]) ).
fof(f12263,plain,
( spl1_524
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,sK0(X1,X0)) = X0
| sdtpldt0(X0,sK0(X0,X1)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_524])]) ).
fof(f347,plain,
( spl1_31
<=> ! [X0,X1] :
( sdtpldt0(X0,sK0(X0,X1)) = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_31])]) ).
fof(f1250,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,sK0(X1,X0)) = X0
| sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ~ spl1_31
| ~ spl1_95 ),
inference(duplicate_literal_removal,[],[f1235]) ).
fof(f1235,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,sK0(X1,X0)) = X0
| sdtpldt0(X0,sK0(X0,X1)) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl1_31
| ~ spl1_95 ),
inference(resolution,[],[f1158,f348]) ).
fof(f348,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| sdtpldt0(X0,sK0(X0,X1)) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl1_31 ),
inference(avatar_component_clause,[],[f347]) ).
fof(f12261,plain,
( spl1_523
| ~ spl1_32
| ~ spl1_95 ),
inference(avatar_split_clause,[],[f1249,f1157,f351,f12259]) ).
fof(f12259,plain,
( spl1_523
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,sK0(X1,X0)) = X0
| sdtpldt0(X0,sdtmndt0(X1,X0)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_523])]) ).
fof(f1249,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,sK0(X1,X0)) = X0
| sdtpldt0(X0,sdtmndt0(X1,X0)) = X1 )
| ~ spl1_32
| ~ spl1_95 ),
inference(duplicate_literal_removal,[],[f1236]) ).
fof(f1236,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,sK0(X1,X0)) = X0
| sdtpldt0(X0,sdtmndt0(X1,X0)) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl1_32
| ~ spl1_95 ),
inference(resolution,[],[f1158,f352]) ).
fof(f12257,plain,
( spl1_522
| ~ spl1_91
| ~ spl1_95 ),
inference(avatar_split_clause,[],[f1247,f1157,f1141,f12255]) ).
fof(f12255,plain,
( spl1_522
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,sK0(X1,X0)) = X0
| sz00 = sdtasdt0(sK0(X0,X1),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_522])]) ).
fof(f1247,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,sK0(X1,X0)) = X0
| sz00 = sdtasdt0(sK0(X0,X1),sz00) )
| ~ spl1_91
| ~ spl1_95 ),
inference(duplicate_literal_removal,[],[f1238]) ).
fof(f1238,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,sK0(X1,X0)) = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sK0(X0,X1),sz00) )
| ~ spl1_91
| ~ spl1_95 ),
inference(resolution,[],[f1158,f1142]) ).
fof(f12253,plain,
( spl1_521
| ~ spl1_92
| ~ spl1_95 ),
inference(avatar_split_clause,[],[f1246,f1157,f1145,f12251]) ).
fof(f12251,plain,
( spl1_521
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,sK0(X1,X0)) = X0
| sz00 = sdtasdt0(sz00,sK0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_521])]) ).
fof(f1246,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,sK0(X1,X0)) = X0
| sz00 = sdtasdt0(sz00,sK0(X0,X1)) )
| ~ spl1_92
| ~ spl1_95 ),
inference(duplicate_literal_removal,[],[f1239]) ).
fof(f1239,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,sK0(X1,X0)) = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sK0(X0,X1)) )
| ~ spl1_92
| ~ spl1_95 ),
inference(resolution,[],[f1158,f1146]) ).
fof(f12249,plain,
( spl1_520
| ~ spl1_93
| ~ spl1_95 ),
inference(avatar_split_clause,[],[f1245,f1157,f1149,f12247]) ).
fof(f12247,plain,
( spl1_520
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,sK0(X1,X0)) = X0
| sz00 = sdtasdt0(sdtmndt0(X1,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_520])]) ).
fof(f1245,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,sK0(X1,X0)) = X0
| sz00 = sdtasdt0(sdtmndt0(X1,X0),sz00) )
| ~ spl1_93
| ~ spl1_95 ),
inference(duplicate_literal_removal,[],[f1240]) ).
fof(f1240,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,sK0(X1,X0)) = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtmndt0(X1,X0),sz00) )
| ~ spl1_93
| ~ spl1_95 ),
inference(resolution,[],[f1158,f1150]) ).
fof(f12245,plain,
( spl1_519
| ~ spl1_94
| ~ spl1_95 ),
inference(avatar_split_clause,[],[f1244,f1157,f1153,f12243]) ).
fof(f12243,plain,
( spl1_519
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,sK0(X1,X0)) = X0
| sz00 = sdtasdt0(sz00,sdtmndt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_519])]) ).
fof(f1244,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,sK0(X1,X0)) = X0
| sz00 = sdtasdt0(sz00,sdtmndt0(X1,X0)) )
| ~ spl1_94
| ~ spl1_95 ),
inference(duplicate_literal_removal,[],[f1241]) ).
fof(f1241,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,sK0(X1,X0)) = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtmndt0(X1,X0)) )
| ~ spl1_94
| ~ spl1_95 ),
inference(resolution,[],[f1158,f1154]) ).
fof(f12241,plain,
( spl1_518
| ~ spl1_23
| ~ spl1_79 ),
inference(avatar_split_clause,[],[f1022,f983,f275,f12239]) ).
fof(f12239,plain,
( spl1_518
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtasdt0(sK0(X1,X2),X0),sz00)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_518])]) ).
fof(f275,plain,
( spl1_23
<=> ! [X0,X1] :
( aNaturalNumber0(sK0(X0,X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_23])]) ).
fof(f983,plain,
( spl1_79
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = sdtasdt0(sdtasdt0(X1,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_79])]) ).
fof(f1022,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtasdt0(sK0(X1,X2),X0),sz00)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| ~ spl1_23
| ~ spl1_79 ),
inference(resolution,[],[f984,f276]) ).
fof(f276,plain,
( ! [X0,X1] :
( aNaturalNumber0(sK0(X0,X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl1_23 ),
inference(avatar_component_clause,[],[f275]) ).
fof(f984,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtasdt0(X1,X0),sz00) )
| ~ spl1_79 ),
inference(avatar_component_clause,[],[f983]) ).
fof(f12237,plain,
( spl1_517
| ~ spl1_24
| ~ spl1_79 ),
inference(avatar_split_clause,[],[f1019,f983,f279,f12235]) ).
fof(f12235,plain,
( spl1_517
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtasdt0(sdtmndt0(X1,X2),X0),sz00)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_517])]) ).
fof(f279,plain,
( spl1_24
<=> ! [X0,X1] :
( aNaturalNumber0(sdtmndt0(X1,X0))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_24])]) ).
fof(f1019,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtasdt0(sdtmndt0(X1,X2),X0),sz00)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) )
| ~ spl1_24
| ~ spl1_79 ),
inference(resolution,[],[f984,f280]) ).
fof(f280,plain,
( ! [X0,X1] :
( aNaturalNumber0(sdtmndt0(X1,X0))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl1_24 ),
inference(avatar_component_clause,[],[f279]) ).
fof(f12233,plain,
( spl1_516
| ~ spl1_23
| ~ spl1_78 ),
inference(avatar_split_clause,[],[f1014,f979,f275,f12231]) ).
fof(f12231,plain,
( spl1_516
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtasdt0(sK0(X1,X2),X0))
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_516])]) ).
fof(f979,plain,
( spl1_78
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = sdtasdt0(sz00,sdtasdt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_78])]) ).
fof(f1014,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtasdt0(sK0(X1,X2),X0))
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| ~ spl1_23
| ~ spl1_78 ),
inference(resolution,[],[f980,f276]) ).
fof(f980,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtasdt0(X1,X0)) )
| ~ spl1_78 ),
inference(avatar_component_clause,[],[f979]) ).
fof(f12229,plain,
( spl1_515
| ~ spl1_24
| ~ spl1_78 ),
inference(avatar_split_clause,[],[f1011,f979,f279,f12227]) ).
fof(f12227,plain,
( spl1_515
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtasdt0(sdtmndt0(X1,X2),X0))
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_515])]) ).
fof(f1011,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtasdt0(sdtmndt0(X1,X2),X0))
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) )
| ~ spl1_24
| ~ spl1_78 ),
inference(resolution,[],[f980,f280]) ).
fof(f12225,plain,
( spl1_514
| ~ spl1_23
| ~ spl1_77 ),
inference(avatar_split_clause,[],[f1006,f975,f275,f12223]) ).
fof(f12223,plain,
( spl1_514
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtpldt0(sK0(X1,X2),X0),sz00)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_514])]) ).
fof(f975,plain,
( spl1_77
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = sdtasdt0(sdtpldt0(X1,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_77])]) ).
fof(f1006,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtpldt0(sK0(X1,X2),X0),sz00)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| ~ spl1_23
| ~ spl1_77 ),
inference(resolution,[],[f976,f276]) ).
fof(f976,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtpldt0(X1,X0),sz00) )
| ~ spl1_77 ),
inference(avatar_component_clause,[],[f975]) ).
fof(f12221,plain,
( spl1_513
| ~ spl1_24
| ~ spl1_77 ),
inference(avatar_split_clause,[],[f1003,f975,f279,f12219]) ).
fof(f12219,plain,
( spl1_513
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtpldt0(sdtmndt0(X1,X2),X0),sz00)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_513])]) ).
fof(f1003,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtpldt0(sdtmndt0(X1,X2),X0),sz00)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) )
| ~ spl1_24
| ~ spl1_77 ),
inference(resolution,[],[f976,f280]) ).
fof(f12217,plain,
( spl1_512
| ~ spl1_23
| ~ spl1_76 ),
inference(avatar_split_clause,[],[f993,f971,f275,f12215]) ).
fof(f12215,plain,
( spl1_512
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(sK0(X1,X2),X0))
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_512])]) ).
fof(f971,plain,
( spl1_76
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = sdtasdt0(sz00,sdtpldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_76])]) ).
fof(f993,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(sK0(X1,X2),X0))
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| ~ spl1_23
| ~ spl1_76 ),
inference(resolution,[],[f972,f276]) ).
fof(f972,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(X1,X0)) )
| ~ spl1_76 ),
inference(avatar_component_clause,[],[f971]) ).
fof(f12213,plain,
( spl1_511
| ~ spl1_24
| ~ spl1_76 ),
inference(avatar_split_clause,[],[f990,f971,f279,f12211]) ).
fof(f12211,plain,
( spl1_511
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(sdtmndt0(X1,X2),X0))
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_511])]) ).
fof(f990,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(sdtmndt0(X1,X2),X0))
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) )
| ~ spl1_24
| ~ spl1_76 ),
inference(resolution,[],[f972,f280]) ).
fof(f12209,plain,
( spl1_510
| ~ spl1_23
| ~ spl1_73 ),
inference(avatar_split_clause,[],[f950,f897,f275,f12207]) ).
fof(f12207,plain,
( spl1_510
<=> ! [X0,X1] :
( sdtasdt0(sK0(X0,X1),sz10) = sdtasdt0(sz10,sK0(X0,X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_510])]) ).
fof(f897,plain,
( spl1_73
<=> ! [X0] :
( sdtasdt0(X0,sz10) = sdtasdt0(sz10,X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_73])]) ).
fof(f950,plain,
( ! [X0,X1] :
( sdtasdt0(sK0(X0,X1),sz10) = sdtasdt0(sz10,sK0(X0,X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl1_23
| ~ spl1_73 ),
inference(resolution,[],[f898,f276]) ).
fof(f898,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sz10) = sdtasdt0(sz10,X0) )
| ~ spl1_73 ),
inference(avatar_component_clause,[],[f897]) ).
fof(f12205,plain,
( spl1_509
| ~ spl1_24
| ~ spl1_73 ),
inference(avatar_split_clause,[],[f947,f897,f279,f12203]) ).
fof(f12203,plain,
( spl1_509
<=> ! [X0,X1] :
( sdtasdt0(sdtmndt0(X0,X1),sz10) = sdtasdt0(sz10,sdtmndt0(X0,X1))
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_509])]) ).
fof(f947,plain,
( ! [X0,X1] :
( sdtasdt0(sdtmndt0(X0,X1),sz10) = sdtasdt0(sz10,sdtmndt0(X0,X1))
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl1_24
| ~ spl1_73 ),
inference(resolution,[],[f898,f280]) ).
fof(f12201,plain,
( spl1_508
| ~ spl1_23
| ~ spl1_72 ),
inference(avatar_split_clause,[],[f939,f893,f275,f12199]) ).
fof(f12199,plain,
( spl1_508
<=> ! [X0,X1] :
( sdtasdt0(sK0(X0,X1),sz00) = sdtasdt0(sz00,sK0(X0,X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_508])]) ).
fof(f893,plain,
( spl1_72
<=> ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sz00,X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_72])]) ).
fof(f939,plain,
( ! [X0,X1] :
( sdtasdt0(sK0(X0,X1),sz00) = sdtasdt0(sz00,sK0(X0,X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl1_23
| ~ spl1_72 ),
inference(resolution,[],[f894,f276]) ).
fof(f894,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sz00) = sdtasdt0(sz00,X0) )
| ~ spl1_72 ),
inference(avatar_component_clause,[],[f893]) ).
fof(f11770,plain,
( spl1_507
| ~ spl1_24
| ~ spl1_72 ),
inference(avatar_split_clause,[],[f936,f893,f279,f11768]) ).
fof(f11768,plain,
( spl1_507
<=> ! [X0,X1] :
( sdtasdt0(sdtmndt0(X0,X1),sz00) = sdtasdt0(sz00,sdtmndt0(X0,X1))
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_507])]) ).
fof(f936,plain,
( ! [X0,X1] :
( sdtasdt0(sdtmndt0(X0,X1),sz00) = sdtasdt0(sz00,sdtmndt0(X0,X1))
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl1_24
| ~ spl1_72 ),
inference(resolution,[],[f894,f280]) ).
fof(f11766,plain,
( spl1_506
| ~ spl1_23
| ~ spl1_71 ),
inference(avatar_split_clause,[],[f930,f889,f275,f11764]) ).
fof(f11764,plain,
( spl1_506
<=> ! [X0,X1] :
( sdtpldt0(sK0(X0,X1),sz10) = sdtpldt0(sz10,sK0(X0,X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_506])]) ).
fof(f889,plain,
( spl1_71
<=> ! [X0] :
( sdtpldt0(X0,sz10) = sdtpldt0(sz10,X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_71])]) ).
fof(f930,plain,
( ! [X0,X1] :
( sdtpldt0(sK0(X0,X1),sz10) = sdtpldt0(sz10,sK0(X0,X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl1_23
| ~ spl1_71 ),
inference(resolution,[],[f890,f276]) ).
fof(f890,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sz10) = sdtpldt0(sz10,X0) )
| ~ spl1_71 ),
inference(avatar_component_clause,[],[f889]) ).
fof(f11762,plain,
( spl1_505
| ~ spl1_24
| ~ spl1_71 ),
inference(avatar_split_clause,[],[f927,f889,f279,f11760]) ).
fof(f11760,plain,
( spl1_505
<=> ! [X0,X1] :
( sdtpldt0(sdtmndt0(X0,X1),sz10) = sdtpldt0(sz10,sdtmndt0(X0,X1))
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_505])]) ).
fof(f927,plain,
( ! [X0,X1] :
( sdtpldt0(sdtmndt0(X0,X1),sz10) = sdtpldt0(sz10,sdtmndt0(X0,X1))
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl1_24
| ~ spl1_71 ),
inference(resolution,[],[f890,f280]) ).
fof(f11758,plain,
( spl1_504
| ~ spl1_23
| ~ spl1_70 ),
inference(avatar_split_clause,[],[f915,f885,f275,f11756]) ).
fof(f11756,plain,
( spl1_504
<=> ! [X0,X1] :
( sdtpldt0(sK0(X0,X1),sz00) = sdtpldt0(sz00,sK0(X0,X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_504])]) ).
fof(f885,plain,
( spl1_70
<=> ! [X0] :
( sdtpldt0(X0,sz00) = sdtpldt0(sz00,X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_70])]) ).
fof(f915,plain,
( ! [X0,X1] :
( sdtpldt0(sK0(X0,X1),sz00) = sdtpldt0(sz00,sK0(X0,X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl1_23
| ~ spl1_70 ),
inference(resolution,[],[f886,f276]) ).
fof(f886,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sz00) = sdtpldt0(sz00,X0) )
| ~ spl1_70 ),
inference(avatar_component_clause,[],[f885]) ).
fof(f11754,plain,
( spl1_503
| ~ spl1_24
| ~ spl1_70 ),
inference(avatar_split_clause,[],[f912,f885,f279,f11752]) ).
fof(f11752,plain,
( spl1_503
<=> ! [X0,X1] :
( sdtpldt0(sdtmndt0(X0,X1),sz00) = sdtpldt0(sz00,sdtmndt0(X0,X1))
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_503])]) ).
fof(f912,plain,
( ! [X0,X1] :
( sdtpldt0(sdtmndt0(X0,X1),sz00) = sdtpldt0(sz00,sdtmndt0(X0,X1))
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl1_24
| ~ spl1_70 ),
inference(resolution,[],[f886,f280]) ).
fof(f11704,plain,
( ~ spl1_6
| spl1_8
| spl1_502
| ~ spl1_49
| ~ spl1_64 ),
inference(avatar_split_clause,[],[f818,f722,f508,f11702,f173,f164]) ).
fof(f11702,plain,
( spl1_502
<=> ! [X0] :
( sdtlseqdt0(sz10,sdtasdt0(sz10,X0))
| ~ aNaturalNumber0(X0)
| sz10 = X0
| ~ sdtlseqdt0(sz10,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_502])]) ).
fof(f722,plain,
( spl1_64
<=> sz10 = sdtasdt0(sz10,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_64])]) ).
fof(f818,plain,
( ! [X0] :
( sdtlseqdt0(sz10,sdtasdt0(sz10,X0))
| ~ sdtlseqdt0(sz10,X0)
| sz10 = X0
| sz00 = sz10
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10) )
| ~ spl1_49
| ~ spl1_64 ),
inference(duplicate_literal_removal,[],[f811]) ).
fof(f811,plain,
( ! [X0] :
( sdtlseqdt0(sz10,sdtasdt0(sz10,X0))
| ~ sdtlseqdt0(sz10,X0)
| sz10 = X0
| sz00 = sz10
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz10) )
| ~ spl1_49
| ~ spl1_64 ),
inference(superposition,[],[f509,f724]) ).
fof(f724,plain,
( sz10 = sdtasdt0(sz10,sz10)
| ~ spl1_64 ),
inference(avatar_component_clause,[],[f722]) ).
fof(f11656,plain,
( ~ spl1_6
| spl1_8
| spl1_501
| ~ spl1_49
| ~ spl1_64 ),
inference(avatar_split_clause,[],[f817,f722,f508,f11654,f173,f164]) ).
fof(f11654,plain,
( spl1_501
<=> ! [X0] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sz10)
| ~ aNaturalNumber0(X0)
| sz10 = X0
| ~ sdtlseqdt0(X0,sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_501])]) ).
fof(f817,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sz10)
| ~ sdtlseqdt0(X0,sz10)
| sz10 = X0
| sz00 = sz10
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) )
| ~ spl1_49
| ~ spl1_64 ),
inference(duplicate_literal_removal,[],[f812]) ).
fof(f812,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sz10)
| ~ sdtlseqdt0(X0,sz10)
| sz10 = X0
| sz00 = sz10
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10) )
| ~ spl1_49
| ~ spl1_64 ),
inference(superposition,[],[f509,f724]) ).
fof(f11538,plain,
( ~ spl1_3
| ~ spl1_17
| spl1_490 ),
inference(avatar_split_clause,[],[f10914,f10743,f234,f149]) ).
fof(f10914,plain,
( ~ aNaturalNumber0(xm)
| ~ spl1_17
| spl1_490 ),
inference(duplicate_literal_removal,[],[f10913]) ).
fof(f10913,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xm)
| ~ spl1_17
| spl1_490 ),
inference(resolution,[],[f10745,f235]) ).
fof(f10745,plain,
( ~ aNaturalNumber0(sdtasdt0(xm,xm))
| spl1_490 ),
inference(avatar_component_clause,[],[f10743]) ).
fof(f11537,plain,
( ~ spl1_6
| spl1_8
| spl1_500
| ~ spl1_50
| ~ spl1_64 ),
inference(avatar_split_clause,[],[f816,f722,f512,f11535,f173,f164]) ).
fof(f11535,plain,
( spl1_500
<=> ! [X0] :
( sdtlseqdt0(sz10,sdtasdt0(X0,sz10))
| ~ aNaturalNumber0(X0)
| sz10 = X0
| ~ sdtlseqdt0(sz10,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_500])]) ).
fof(f816,plain,
( ! [X0] :
( sdtlseqdt0(sz10,sdtasdt0(X0,sz10))
| ~ sdtlseqdt0(sz10,X0)
| sz10 = X0
| sz00 = sz10
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10) )
| ~ spl1_50
| ~ spl1_64 ),
inference(duplicate_literal_removal,[],[f813]) ).
fof(f813,plain,
( ! [X0] :
( sdtlseqdt0(sz10,sdtasdt0(X0,sz10))
| ~ sdtlseqdt0(sz10,X0)
| sz10 = X0
| sz00 = sz10
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz10) )
| ~ spl1_50
| ~ spl1_64 ),
inference(superposition,[],[f513,f724]) ).
fof(f11489,plain,
( ~ spl1_6
| spl1_8
| spl1_499
| ~ spl1_50
| ~ spl1_64 ),
inference(avatar_split_clause,[],[f815,f722,f512,f11487,f173,f164]) ).
fof(f11487,plain,
( spl1_499
<=> ! [X0] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sz10)
| ~ aNaturalNumber0(X0)
| sz10 = X0
| ~ sdtlseqdt0(X0,sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_499])]) ).
fof(f815,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sz10)
| ~ sdtlseqdt0(X0,sz10)
| sz10 = X0
| sz00 = sz10
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) )
| ~ spl1_50
| ~ spl1_64 ),
inference(duplicate_literal_removal,[],[f814]) ).
fof(f814,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sz10)
| ~ sdtlseqdt0(X0,sz10)
| sz10 = X0
| sz00 = sz10
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10) )
| ~ spl1_50
| ~ spl1_64 ),
inference(superposition,[],[f513,f724]) ).
fof(f10829,plain,
( spl1_498
| ~ spl1_23
| ~ spl1_68 ),
inference(avatar_split_clause,[],[f881,f838,f275,f10827]) ).
fof(f10827,plain,
( spl1_498
<=> ! [X0,X1] :
( sdtasdt0(sK0(X0,X1),xn) = sdtasdt0(xn,sK0(X0,X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_498])]) ).
fof(f838,plain,
( spl1_68
<=> ! [X0] :
( sdtasdt0(X0,xn) = sdtasdt0(xn,X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_68])]) ).
fof(f881,plain,
( ! [X0,X1] :
( sdtasdt0(sK0(X0,X1),xn) = sdtasdt0(xn,sK0(X0,X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl1_23
| ~ spl1_68 ),
inference(resolution,[],[f839,f276]) ).
fof(f839,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,xn) = sdtasdt0(xn,X0) )
| ~ spl1_68 ),
inference(avatar_component_clause,[],[f838]) ).
fof(f10825,plain,
( spl1_497
| ~ spl1_24
| ~ spl1_68 ),
inference(avatar_split_clause,[],[f878,f838,f279,f10823]) ).
fof(f10823,plain,
( spl1_497
<=> ! [X0,X1] :
( sdtasdt0(sdtmndt0(X0,X1),xn) = sdtasdt0(xn,sdtmndt0(X0,X1))
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_497])]) ).
fof(f878,plain,
( ! [X0,X1] :
( sdtasdt0(sdtmndt0(X0,X1),xn) = sdtasdt0(xn,sdtmndt0(X0,X1))
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl1_24
| ~ spl1_68 ),
inference(resolution,[],[f839,f280]) ).
fof(f10821,plain,
( spl1_496
| ~ spl1_23
| ~ spl1_67 ),
inference(avatar_split_clause,[],[f871,f834,f275,f10819]) ).
fof(f10819,plain,
( spl1_496
<=> ! [X0,X1] :
( sdtasdt0(sK0(X0,X1),xm) = sdtasdt0(xm,sK0(X0,X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_496])]) ).
fof(f834,plain,
( spl1_67
<=> ! [X0] :
( sdtasdt0(X0,xm) = sdtasdt0(xm,X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_67])]) ).
fof(f871,plain,
( ! [X0,X1] :
( sdtasdt0(sK0(X0,X1),xm) = sdtasdt0(xm,sK0(X0,X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl1_23
| ~ spl1_67 ),
inference(resolution,[],[f835,f276]) ).
fof(f835,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,xm) = sdtasdt0(xm,X0) )
| ~ spl1_67 ),
inference(avatar_component_clause,[],[f834]) ).
fof(f10817,plain,
( spl1_495
| ~ spl1_24
| ~ spl1_67 ),
inference(avatar_split_clause,[],[f868,f834,f279,f10815]) ).
fof(f10815,plain,
( spl1_495
<=> ! [X0,X1] :
( sdtasdt0(sdtmndt0(X0,X1),xm) = sdtasdt0(xm,sdtmndt0(X0,X1))
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_495])]) ).
fof(f868,plain,
( ! [X0,X1] :
( sdtasdt0(sdtmndt0(X0,X1),xm) = sdtasdt0(xm,sdtmndt0(X0,X1))
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl1_24
| ~ spl1_67 ),
inference(resolution,[],[f835,f280]) ).
fof(f10813,plain,
( spl1_494
| ~ spl1_23
| ~ spl1_66 ),
inference(avatar_split_clause,[],[f862,f830,f275,f10811]) ).
fof(f10811,plain,
( spl1_494
<=> ! [X0,X1] :
( sdtpldt0(xn,sK0(X0,X1)) = sdtpldt0(sK0(X0,X1),xn)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_494])]) ).
fof(f830,plain,
( spl1_66
<=> ! [X0] :
( sdtpldt0(xn,X0) = sdtpldt0(X0,xn)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_66])]) ).
fof(f862,plain,
( ! [X0,X1] :
( sdtpldt0(xn,sK0(X0,X1)) = sdtpldt0(sK0(X0,X1),xn)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl1_23
| ~ spl1_66 ),
inference(resolution,[],[f831,f276]) ).
fof(f831,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(xn,X0) = sdtpldt0(X0,xn) )
| ~ spl1_66 ),
inference(avatar_component_clause,[],[f830]) ).
fof(f10809,plain,
( spl1_493
| ~ spl1_24
| ~ spl1_66 ),
inference(avatar_split_clause,[],[f859,f830,f279,f10807]) ).
fof(f10807,plain,
( spl1_493
<=> ! [X0,X1] :
( sdtpldt0(xn,sdtmndt0(X0,X1)) = sdtpldt0(sdtmndt0(X0,X1),xn)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_493])]) ).
fof(f859,plain,
( ! [X0,X1] :
( sdtpldt0(xn,sdtmndt0(X0,X1)) = sdtpldt0(sdtmndt0(X0,X1),xn)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl1_24
| ~ spl1_66 ),
inference(resolution,[],[f831,f280]) ).
fof(f10805,plain,
( spl1_492
| ~ spl1_23
| ~ spl1_65 ),
inference(avatar_split_clause,[],[f848,f826,f275,f10803]) ).
fof(f10803,plain,
( spl1_492
<=> ! [X0,X1] :
( sdtpldt0(sK0(X0,X1),xm) = sdtpldt0(xm,sK0(X0,X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_492])]) ).
fof(f826,plain,
( spl1_65
<=> ! [X0] :
( sdtpldt0(X0,xm) = sdtpldt0(xm,X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_65])]) ).
fof(f848,plain,
( ! [X0,X1] :
( sdtpldt0(sK0(X0,X1),xm) = sdtpldt0(xm,sK0(X0,X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl1_23
| ~ spl1_65 ),
inference(resolution,[],[f827,f276]) ).
fof(f827,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,xm) = sdtpldt0(xm,X0) )
| ~ spl1_65 ),
inference(avatar_component_clause,[],[f826]) ).
fof(f10801,plain,
( spl1_491
| ~ spl1_24
| ~ spl1_65 ),
inference(avatar_split_clause,[],[f845,f826,f279,f10799]) ).
fof(f10799,plain,
( spl1_491
<=> ! [X0,X1] :
( sdtpldt0(sdtmndt0(X0,X1),xm) = sdtpldt0(xm,sdtmndt0(X0,X1))
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_491])]) ).
fof(f845,plain,
( ! [X0,X1] :
( sdtpldt0(sdtmndt0(X0,X1),xm) = sdtpldt0(xm,sdtmndt0(X0,X1))
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl1_24
| ~ spl1_65 ),
inference(resolution,[],[f827,f280]) ).
fof(f10746,plain,
( spl1_489
| ~ spl1_490
| ~ spl1_328
| ~ spl1_463 ),
inference(avatar_split_clause,[],[f9948,f9778,f5809,f10743,f10739]) ).
fof(f5809,plain,
( spl1_328
<=> xn = sdtasdt0(xn,sdtasdt0(xm,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_328])]) ).
fof(f9778,plain,
( spl1_463
<=> ! [X0] :
( xn != sdtasdt0(xn,X0)
| ~ aNaturalNumber0(X0)
| sz10 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_463])]) ).
fof(f9948,plain,
( ~ aNaturalNumber0(sdtasdt0(xm,xm))
| sz10 = sdtasdt0(xm,xm)
| ~ spl1_328
| ~ spl1_463 ),
inference(trivial_inequality_removal,[],[f9925]) ).
fof(f9925,plain,
( xn != xn
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| sz10 = sdtasdt0(xm,xm)
| ~ spl1_328
| ~ spl1_463 ),
inference(superposition,[],[f9779,f5811]) ).
fof(f5811,plain,
( xn = sdtasdt0(xn,sdtasdt0(xm,xm))
| ~ spl1_328 ),
inference(avatar_component_clause,[],[f5809]) ).
fof(f9779,plain,
( ! [X0] :
( xn != sdtasdt0(xn,X0)
| ~ aNaturalNumber0(X0)
| sz10 = X0 )
| ~ spl1_463 ),
inference(avatar_component_clause,[],[f9778]) ).
fof(f10584,plain,
( spl1_488
| ~ spl1_29
| ~ spl1_94 ),
inference(avatar_split_clause,[],[f1229,f1153,f328,f10582]) ).
fof(f10582,plain,
( spl1_488
<=> ! [X0,X1] :
( ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtmndt0(sdtpldt0(X0,X1),X0))
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_488])]) ).
fof(f1229,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtmndt0(sdtpldt0(X0,X1),X0))
| ~ aNaturalNumber0(X1) )
| ~ spl1_29
| ~ spl1_94 ),
inference(duplicate_literal_removal,[],[f1220]) ).
fof(f1220,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtmndt0(sdtpldt0(X0,X1),X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0) )
| ~ spl1_29
| ~ spl1_94 ),
inference(resolution,[],[f1154,f329]) ).
fof(f10571,plain,
( ~ spl1_6
| spl1_487
| ~ spl1_20
| ~ spl1_94 ),
inference(avatar_split_clause,[],[f1228,f1153,f263,f10569,f164]) ).
fof(f10569,plain,
( spl1_487
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = X0
| sz10 = X0
| sz00 = sdtasdt0(sz00,sdtmndt0(X0,sz10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_487])]) ).
fof(f1228,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10)
| sz00 = sdtasdt0(sz00,sdtmndt0(X0,sz10))
| sz10 = X0
| sz00 = X0 )
| ~ spl1_20
| ~ spl1_94 ),
inference(duplicate_literal_removal,[],[f1223]) ).
fof(f1223,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10)
| sz00 = sdtasdt0(sz00,sdtmndt0(X0,sz10))
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl1_20
| ~ spl1_94 ),
inference(resolution,[],[f1154,f264]) ).
fof(f10567,plain,
( spl1_486
| ~ spl1_29
| ~ spl1_93 ),
inference(avatar_split_clause,[],[f1208,f1149,f328,f10565]) ).
fof(f10565,plain,
( spl1_486
<=> ! [X0,X1] :
( ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtmndt0(sdtpldt0(X0,X1),X0),sz00)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_486])]) ).
fof(f1208,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtmndt0(sdtpldt0(X0,X1),X0),sz00)
| ~ aNaturalNumber0(X1) )
| ~ spl1_29
| ~ spl1_93 ),
inference(duplicate_literal_removal,[],[f1199]) ).
fof(f1199,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtmndt0(sdtpldt0(X0,X1),X0),sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0) )
| ~ spl1_29
| ~ spl1_93 ),
inference(resolution,[],[f1150,f329]) ).
fof(f10554,plain,
( ~ spl1_6
| spl1_485
| ~ spl1_20
| ~ spl1_93 ),
inference(avatar_split_clause,[],[f1207,f1149,f263,f10552,f164]) ).
fof(f10552,plain,
( spl1_485
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = X0
| sz10 = X0
| sz00 = sdtasdt0(sdtmndt0(X0,sz10),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_485])]) ).
fof(f1207,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10)
| sz00 = sdtasdt0(sdtmndt0(X0,sz10),sz00)
| sz10 = X0
| sz00 = X0 )
| ~ spl1_20
| ~ spl1_93 ),
inference(duplicate_literal_removal,[],[f1202]) ).
fof(f1202,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10)
| sz00 = sdtasdt0(sdtmndt0(X0,sz10),sz00)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl1_20
| ~ spl1_93 ),
inference(resolution,[],[f1150,f264]) ).
fof(f10550,plain,
( spl1_484
| ~ spl1_29
| ~ spl1_92 ),
inference(avatar_split_clause,[],[f1192,f1145,f328,f10548]) ).
fof(f10548,plain,
( spl1_484
<=> ! [X0,X1] :
( ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sK0(X0,sdtpldt0(X0,X1)))
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_484])]) ).
fof(f1192,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sK0(X0,sdtpldt0(X0,X1)))
| ~ aNaturalNumber0(X1) )
| ~ spl1_29
| ~ spl1_92 ),
inference(duplicate_literal_removal,[],[f1183]) ).
fof(f1183,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sK0(X0,sdtpldt0(X0,X1)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0) )
| ~ spl1_29
| ~ spl1_92 ),
inference(resolution,[],[f1146,f329]) ).
fof(f10518,plain,
( ~ spl1_6
| spl1_483
| ~ spl1_20
| ~ spl1_92 ),
inference(avatar_split_clause,[],[f1191,f1145,f263,f10516,f164]) ).
fof(f10516,plain,
( spl1_483
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = X0
| sz10 = X0
| sz00 = sdtasdt0(sz00,sK0(sz10,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_483])]) ).
fof(f1191,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10)
| sz00 = sdtasdt0(sz00,sK0(sz10,X0))
| sz10 = X0
| sz00 = X0 )
| ~ spl1_20
| ~ spl1_92 ),
inference(duplicate_literal_removal,[],[f1186]) ).
fof(f1186,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10)
| sz00 = sdtasdt0(sz00,sK0(sz10,X0))
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl1_20
| ~ spl1_92 ),
inference(resolution,[],[f1146,f264]) ).
fof(f10514,plain,
( spl1_482
| ~ spl1_29
| ~ spl1_91 ),
inference(avatar_split_clause,[],[f1176,f1141,f328,f10512]) ).
fof(f10512,plain,
( spl1_482
<=> ! [X0,X1] :
( ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sK0(X0,sdtpldt0(X0,X1)),sz00)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_482])]) ).
fof(f1176,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sK0(X0,sdtpldt0(X0,X1)),sz00)
| ~ aNaturalNumber0(X1) )
| ~ spl1_29
| ~ spl1_91 ),
inference(duplicate_literal_removal,[],[f1167]) ).
fof(f1167,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sK0(X0,sdtpldt0(X0,X1)),sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0) )
| ~ spl1_29
| ~ spl1_91 ),
inference(resolution,[],[f1142,f329]) ).
fof(f10501,plain,
( ~ spl1_6
| spl1_481
| ~ spl1_20
| ~ spl1_91 ),
inference(avatar_split_clause,[],[f1175,f1141,f263,f10499,f164]) ).
fof(f10499,plain,
( spl1_481
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = X0
| sz10 = X0
| sz00 = sdtasdt0(sK0(sz10,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_481])]) ).
fof(f1175,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10)
| sz00 = sdtasdt0(sK0(sz10,X0),sz00)
| sz10 = X0
| sz00 = X0 )
| ~ spl1_20
| ~ spl1_91 ),
inference(duplicate_literal_removal,[],[f1170]) ).
fof(f1170,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10)
| sz00 = sdtasdt0(sK0(sz10,X0),sz00)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl1_20
| ~ spl1_91 ),
inference(resolution,[],[f1142,f264]) ).
fof(f10462,plain,
( ~ spl1_5
| ~ spl1_6
| spl1_480
| ~ spl1_43
| ~ spl1_63 ),
inference(avatar_split_clause,[],[f803,f717,f446,f10460,f164,f159]) ).
fof(f10460,plain,
( spl1_480
<=> ! [X0] :
( sdtlseqdt0(sz10,sdtpldt0(X0,sz10))
| ~ aNaturalNumber0(X0)
| sz00 = X0
| ~ sdtlseqdt0(sz00,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_480])]) ).
fof(f446,plain,
( spl1_43
<=> ! [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,[spl1_43])]) ).
fof(f717,plain,
( spl1_63
<=> sz10 = sdtpldt0(sz00,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_63])]) ).
fof(f803,plain,
( ! [X0] :
( sdtlseqdt0(sz10,sdtpldt0(X0,sz10))
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(sz00,X0)
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz00) )
| ~ spl1_43
| ~ spl1_63 ),
inference(superposition,[],[f447,f719]) ).
fof(f719,plain,
( sz10 = sdtpldt0(sz00,sz10)
| ~ spl1_63 ),
inference(avatar_component_clause,[],[f717]) ).
fof(f447,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl1_43 ),
inference(avatar_component_clause,[],[f446]) ).
fof(f10423,plain,
( ~ spl1_5
| ~ spl1_6
| spl1_479
| ~ spl1_43
| ~ spl1_63 ),
inference(avatar_split_clause,[],[f802,f717,f446,f10421,f164,f159]) ).
fof(f10421,plain,
( spl1_479
<=> ! [X0] :
( sdtlseqdt0(sdtpldt0(X0,sz10),sz10)
| ~ aNaturalNumber0(X0)
| sz00 = X0
| ~ sdtlseqdt0(X0,sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_479])]) ).
fof(f802,plain,
( ! [X0] :
( sdtlseqdt0(sdtpldt0(X0,sz10),sz10)
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(X0,sz00)
| sz00 = X0
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) )
| ~ spl1_43
| ~ spl1_63 ),
inference(superposition,[],[f447,f719]) ).
fof(f10380,plain,
( spl1_478
| ~ spl1_3
| ~ spl1_4
| ~ spl1_54
| ~ spl1_181
| ~ spl1_327
| ~ spl1_365
| ~ spl1_386
| ~ spl1_436 ),
inference(avatar_split_clause,[],[f9639,f8312,f7027,f6886,f5641,f3235,f539,f154,f149,f10377]) ).
fof(f10377,plain,
( spl1_478
<=> sz00 = sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xm,sz10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_478])]) ).
fof(f3235,plain,
( spl1_181
<=> sdtasdt0(xn,xm) = sdtasdt0(xm,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_181])]) ).
fof(f5641,plain,
( spl1_327
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz10),xn) = sdtpldt0(sdtasdt0(X0,xn),xn)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_327])]) ).
fof(f7027,plain,
( spl1_386
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(sdtasdt0(xm,xn),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_386])]) ).
fof(f8312,plain,
( spl1_436
<=> sdtpldt0(xn,sdtasdt0(xm,xn)) = sdtasdt0(sdtpldt0(xm,sz10),xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_436])]) ).
fof(f9639,plain,
( sz00 = sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xm,sz10)))
| ~ spl1_3
| ~ spl1_4
| ~ spl1_54
| ~ spl1_181
| ~ spl1_327
| ~ spl1_365
| ~ spl1_386
| ~ spl1_436 ),
inference(forward_demodulation,[],[f9638,f8316]) ).
fof(f8316,plain,
( sdtasdt0(sdtpldt0(xm,sz10),xn) = sdtasdt0(xn,sdtpldt0(xm,sz10))
| ~ spl1_4
| ~ spl1_54
| ~ spl1_181
| ~ spl1_365
| ~ spl1_436 ),
inference(forward_demodulation,[],[f8314,f7081]) ).
fof(f7081,plain,
( sdtpldt0(xn,sdtasdt0(xm,xn)) = sdtasdt0(xn,sdtpldt0(xm,sz10))
| ~ spl1_4
| ~ spl1_54
| ~ spl1_181
| ~ spl1_365 ),
inference(forward_demodulation,[],[f7080,f541]) ).
fof(f7080,plain,
( sdtasdt0(xn,sdtpldt0(xm,sz10)) = sdtpldt0(sdtasdt0(xn,sz10),sdtasdt0(xm,xn))
| ~ spl1_4
| ~ spl1_181
| ~ spl1_365 ),
inference(forward_demodulation,[],[f7069,f3237]) ).
fof(f3237,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xm,xn)
| ~ spl1_181 ),
inference(avatar_component_clause,[],[f3235]) ).
fof(f7069,plain,
( sdtpldt0(sdtasdt0(xn,sz10),sdtasdt0(xn,xm)) = sdtasdt0(xn,sdtpldt0(xm,sz10))
| ~ spl1_4
| ~ spl1_365 ),
inference(resolution,[],[f6887,f156]) ).
fof(f8314,plain,
( sdtpldt0(xn,sdtasdt0(xm,xn)) = sdtasdt0(sdtpldt0(xm,sz10),xn)
| ~ spl1_436 ),
inference(avatar_component_clause,[],[f8312]) ).
fof(f9638,plain,
( sz00 = sdtasdt0(sz00,sdtasdt0(sdtpldt0(xm,sz10),xn))
| ~ spl1_3
| ~ spl1_4
| ~ spl1_327
| ~ spl1_386 ),
inference(forward_demodulation,[],[f9631,f6112]) ).
fof(f6112,plain,
( sdtpldt0(sdtasdt0(xm,xn),xn) = sdtasdt0(sdtpldt0(xm,sz10),xn)
| ~ spl1_3
| ~ spl1_327 ),
inference(resolution,[],[f5642,f151]) ).
fof(f5642,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtpldt0(X0,sz10),xn) = sdtpldt0(sdtasdt0(X0,xn),xn) )
| ~ spl1_327 ),
inference(avatar_component_clause,[],[f5641]) ).
fof(f9631,plain,
( sz00 = sdtasdt0(sz00,sdtpldt0(sdtasdt0(xm,xn),xn))
| ~ spl1_4
| ~ spl1_386 ),
inference(resolution,[],[f7028,f156]) ).
fof(f7028,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(sdtasdt0(xm,xn),X0)) )
| ~ spl1_386 ),
inference(avatar_component_clause,[],[f7027]) ).
fof(f10375,plain,
( ~ spl1_6
| ~ spl1_5
| spl1_477
| ~ spl1_42
| ~ spl1_63 ),
inference(avatar_split_clause,[],[f801,f717,f442,f10373,f159,f164]) ).
fof(f10373,plain,
( spl1_477
<=> ! [X0] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sz10)
| ~ aNaturalNumber0(X0)
| sz10 = X0
| ~ sdtlseqdt0(X0,sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_477])]) ).
fof(f442,plain,
( spl1_42
<=> ! [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,[spl1_42])]) ).
fof(f801,plain,
( ! [X0] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sz10)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(X0,sz10)
| sz10 = X0
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) )
| ~ spl1_42
| ~ spl1_63 ),
inference(superposition,[],[f443,f719]) ).
fof(f443,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl1_42 ),
inference(avatar_component_clause,[],[f442]) ).
fof(f10324,plain,
( ~ spl1_6
| ~ spl1_5
| spl1_476
| ~ spl1_42
| ~ spl1_63 ),
inference(avatar_split_clause,[],[f800,f717,f442,f10322,f159,f164]) ).
fof(f10322,plain,
( spl1_476
<=> ! [X0] :
( sdtlseqdt0(sz10,sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(X0)
| sz10 = X0
| ~ sdtlseqdt0(sz10,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_476])]) ).
fof(f800,plain,
( ! [X0] :
( sdtlseqdt0(sz10,sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz10,X0)
| sz10 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10) )
| ~ spl1_42
| ~ spl1_63 ),
inference(superposition,[],[f443,f719]) ).
fof(f10282,plain,
( ~ spl1_6
| ~ spl1_5
| spl1_475
| ~ spl1_43
| ~ spl1_62 ),
inference(avatar_split_clause,[],[f790,f712,f446,f10280,f159,f164]) ).
fof(f10280,plain,
( spl1_475
<=> ! [X0] :
( sdtlseqdt0(sz10,sdtpldt0(X0,sz00))
| ~ aNaturalNumber0(X0)
| sz10 = X0
| ~ sdtlseqdt0(sz10,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_475])]) ).
fof(f712,plain,
( spl1_62
<=> sz10 = sdtpldt0(sz10,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_62])]) ).
fof(f790,plain,
( ! [X0] :
( sdtlseqdt0(sz10,sdtpldt0(X0,sz00))
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz10,X0)
| sz10 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10) )
| ~ spl1_43
| ~ spl1_62 ),
inference(superposition,[],[f447,f714]) ).
fof(f714,plain,
( sz10 = sdtpldt0(sz10,sz00)
| ~ spl1_62 ),
inference(avatar_component_clause,[],[f712]) ).
fof(f10240,plain,
( ~ spl1_6
| ~ spl1_5
| spl1_474
| ~ spl1_43
| ~ spl1_62 ),
inference(avatar_split_clause,[],[f789,f712,f446,f10238,f159,f164]) ).
fof(f10238,plain,
( spl1_474
<=> ! [X0] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sz10)
| ~ aNaturalNumber0(X0)
| sz10 = X0
| ~ sdtlseqdt0(X0,sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_474])]) ).
fof(f789,plain,
( ! [X0] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sz10)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(X0,sz10)
| sz10 = X0
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) )
| ~ spl1_43
| ~ spl1_62 ),
inference(superposition,[],[f447,f714]) ).
fof(f10194,plain,
( ~ spl1_5
| ~ spl1_6
| spl1_473
| ~ spl1_42
| ~ spl1_62 ),
inference(avatar_split_clause,[],[f788,f712,f442,f10192,f164,f159]) ).
fof(f10192,plain,
( spl1_473
<=> ! [X0] :
( sdtlseqdt0(sdtpldt0(sz10,X0),sz10)
| ~ aNaturalNumber0(X0)
| sz00 = X0
| ~ sdtlseqdt0(X0,sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_473])]) ).
fof(f788,plain,
( ! [X0] :
( sdtlseqdt0(sdtpldt0(sz10,X0),sz10)
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(X0,sz00)
| sz00 = X0
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) )
| ~ spl1_42
| ~ spl1_62 ),
inference(superposition,[],[f443,f714]) ).
fof(f10148,plain,
( spl1_472
| ~ spl1_3
| ~ spl1_4
| ~ spl1_53
| ~ spl1_181
| ~ spl1_326
| ~ spl1_369
| ~ spl1_386
| ~ spl1_433 ),
inference(avatar_split_clause,[],[f9637,f8214,f7027,f6902,f5637,f3235,f534,f154,f149,f10145]) ).
fof(f10145,plain,
( spl1_472
<=> sz00 = sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xn,sz10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_472])]) ).
fof(f5637,plain,
( spl1_326
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz10),xm) = sdtpldt0(sdtasdt0(X0,xm),xm)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_326])]) ).
fof(f6902,plain,
( spl1_369
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,xn)) = sdtasdt0(X0,sdtpldt0(xn,sz10))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_369])]) ).
fof(f8214,plain,
( spl1_433
<=> sdtpldt0(xm,sdtasdt0(xm,xn)) = sdtasdt0(sdtpldt0(xn,sz10),xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_433])]) ).
fof(f9637,plain,
( sz00 = sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xn,sz10)))
| ~ spl1_3
| ~ spl1_4
| ~ spl1_53
| ~ spl1_181
| ~ spl1_326
| ~ spl1_369
| ~ spl1_386
| ~ spl1_433 ),
inference(forward_demodulation,[],[f9636,f8218]) ).
fof(f8218,plain,
( sdtasdt0(sdtpldt0(xn,sz10),xm) = sdtasdt0(xm,sdtpldt0(xn,sz10))
| ~ spl1_3
| ~ spl1_53
| ~ spl1_369
| ~ spl1_433 ),
inference(forward_demodulation,[],[f8216,f7147]) ).
fof(f7147,plain,
( sdtpldt0(xm,sdtasdt0(xm,xn)) = sdtasdt0(xm,sdtpldt0(xn,sz10))
| ~ spl1_3
| ~ spl1_53
| ~ spl1_369 ),
inference(forward_demodulation,[],[f7136,f536]) ).
fof(f7136,plain,
( sdtpldt0(sdtasdt0(xm,sz10),sdtasdt0(xm,xn)) = sdtasdt0(xm,sdtpldt0(xn,sz10))
| ~ spl1_3
| ~ spl1_369 ),
inference(resolution,[],[f6903,f151]) ).
fof(f6903,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,xn)) = sdtasdt0(X0,sdtpldt0(xn,sz10)) )
| ~ spl1_369 ),
inference(avatar_component_clause,[],[f6902]) ).
fof(f8216,plain,
( sdtpldt0(xm,sdtasdt0(xm,xn)) = sdtasdt0(sdtpldt0(xn,sz10),xm)
| ~ spl1_433 ),
inference(avatar_component_clause,[],[f8214]) ).
fof(f9636,plain,
( sz00 = sdtasdt0(sz00,sdtasdt0(sdtpldt0(xn,sz10),xm))
| ~ spl1_3
| ~ spl1_4
| ~ spl1_181
| ~ spl1_326
| ~ spl1_386 ),
inference(forward_demodulation,[],[f9630,f6105]) ).
fof(f6105,plain,
( sdtpldt0(sdtasdt0(xm,xn),xm) = sdtasdt0(sdtpldt0(xn,sz10),xm)
| ~ spl1_4
| ~ spl1_181
| ~ spl1_326 ),
inference(forward_demodulation,[],[f6097,f3237]) ).
fof(f6097,plain,
( sdtasdt0(sdtpldt0(xn,sz10),xm) = sdtpldt0(sdtasdt0(xn,xm),xm)
| ~ spl1_4
| ~ spl1_326 ),
inference(resolution,[],[f5638,f156]) ).
fof(f5638,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtpldt0(X0,sz10),xm) = sdtpldt0(sdtasdt0(X0,xm),xm) )
| ~ spl1_326 ),
inference(avatar_component_clause,[],[f5637]) ).
fof(f9630,plain,
( sz00 = sdtasdt0(sz00,sdtpldt0(sdtasdt0(xm,xn),xm))
| ~ spl1_3
| ~ spl1_386 ),
inference(resolution,[],[f7028,f151]) ).
fof(f10143,plain,
( ~ spl1_5
| ~ spl1_6
| spl1_471
| ~ spl1_42
| ~ spl1_62 ),
inference(avatar_split_clause,[],[f787,f712,f442,f10141,f164,f159]) ).
fof(f10141,plain,
( spl1_471
<=> ! [X0] :
( sdtlseqdt0(sz10,sdtpldt0(sz10,X0))
| ~ aNaturalNumber0(X0)
| sz00 = X0
| ~ sdtlseqdt0(sz00,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_471])]) ).
fof(f787,plain,
( ! [X0] :
( sdtlseqdt0(sz10,sdtpldt0(sz10,X0))
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(sz00,X0)
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz00) )
| ~ spl1_42
| ~ spl1_62 ),
inference(superposition,[],[f443,f714]) ).
fof(f10121,plain,
( spl1_470
| ~ spl1_317
| ~ spl1_323 ),
inference(avatar_split_clause,[],[f5573,f5570,f5332,f10119]) ).
fof(f10119,plain,
( spl1_470
<=> ! [X0] :
( sdtasdt0(X0,xn) = sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(X0,xn))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_470])]) ).
fof(f5570,plain,
( spl1_323
<=> ! [X0] :
( sdtasdt0(X0,xn) = sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(X0,sz00))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_323])]) ).
fof(f5573,plain,
( ! [X0] :
( sdtasdt0(X0,xn) = sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(X0,xn))
| ~ aNaturalNumber0(X0) )
| ~ spl1_317
| ~ spl1_323 ),
inference(forward_demodulation,[],[f5571,f5334]) ).
fof(f5571,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,xn) = sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(X0,sz00)) )
| ~ spl1_323 ),
inference(avatar_component_clause,[],[f5570]) ).
fof(f9965,plain,
( ~ spl1_4
| spl1_317
| ~ spl1_6
| spl1_469
| ~ spl1_41
| ~ spl1_56 ),
inference(avatar_split_clause,[],[f685,f549,f438,f9963,f164,f5332,f154]) ).
fof(f9963,plain,
( spl1_469
<=> ! [X0] :
( xn != sdtasdt0(X0,xn)
| ~ aNaturalNumber0(X0)
| sz10 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_469])]) ).
fof(f438,plain,
( spl1_41
<=> ! [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,[spl1_41])]) ).
fof(f685,plain,
( ! [X0] :
( xn != sdtasdt0(X0,xn)
| sz10 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10)
| sz00 = xn
| ~ aNaturalNumber0(xn) )
| ~ spl1_41
| ~ spl1_56 ),
inference(superposition,[],[f439,f551]) ).
fof(f439,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
| X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl1_41 ),
inference(avatar_component_clause,[],[f438]) ).
fof(f9956,plain,
( ~ spl1_6
| spl1_8
| ~ spl1_4
| spl1_468
| ~ spl1_40
| ~ spl1_56 ),
inference(avatar_split_clause,[],[f683,f549,f434,f9954,f154,f173,f164]) ).
fof(f9954,plain,
( spl1_468
<=> ! [X0] :
( sdtasdt0(sz10,X0) != xn
| ~ aNaturalNumber0(X0)
| xn = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_468])]) ).
fof(f434,plain,
( spl1_40
<=> ! [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,[spl1_40])]) ).
fof(f683,plain,
( ! [X0] :
( sdtasdt0(sz10,X0) != xn
| xn = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xn)
| sz00 = sz10
| ~ aNaturalNumber0(sz10) )
| ~ spl1_40
| ~ spl1_56 ),
inference(superposition,[],[f435,f551]) ).
fof(f435,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
| X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl1_40 ),
inference(avatar_component_clause,[],[f434]) ).
fof(f9924,plain,
( ~ spl1_3
| spl1_1
| ~ spl1_6
| spl1_467
| ~ spl1_41
| ~ spl1_55 ),
inference(avatar_split_clause,[],[f670,f544,f438,f9922,f164,f139,f149]) ).
fof(f9922,plain,
( spl1_467
<=> ! [X0] :
( xm != sdtasdt0(X0,xm)
| ~ aNaturalNumber0(X0)
| sz10 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_467])]) ).
fof(f670,plain,
( ! [X0] :
( xm != sdtasdt0(X0,xm)
| sz10 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10)
| sz00 = xm
| ~ aNaturalNumber0(xm) )
| ~ spl1_41
| ~ spl1_55 ),
inference(superposition,[],[f439,f546]) ).
fof(f9915,plain,
( ~ spl1_6
| spl1_8
| ~ spl1_3
| spl1_466
| ~ spl1_40
| ~ spl1_55 ),
inference(avatar_split_clause,[],[f668,f544,f434,f9913,f149,f173,f164]) ).
fof(f9913,plain,
( spl1_466
<=> ! [X0] :
( sdtasdt0(sz10,X0) != xm
| ~ aNaturalNumber0(X0)
| xm = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_466])]) ).
fof(f668,plain,
( ! [X0] :
( sdtasdt0(sz10,X0) != xm
| xm = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xm)
| sz00 = sz10
| ~ aNaturalNumber0(sz10) )
| ~ spl1_40
| ~ spl1_55 ),
inference(superposition,[],[f435,f546]) ).
fof(f9906,plain,
( ~ spl1_6
| spl1_8
| ~ spl1_4
| spl1_465
| ~ spl1_41
| ~ spl1_54 ),
inference(avatar_split_clause,[],[f660,f539,f438,f9904,f154,f173,f164]) ).
fof(f9904,plain,
( spl1_465
<=> ! [X0] :
( sdtasdt0(X0,sz10) != xn
| ~ aNaturalNumber0(X0)
| xn = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_465])]) ).
fof(f660,plain,
( ! [X0] :
( sdtasdt0(X0,sz10) != xn
| xn = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xn)
| sz00 = sz10
| ~ aNaturalNumber0(sz10) )
| ~ spl1_41
| ~ spl1_54 ),
inference(superposition,[],[f439,f541]) ).
fof(f9899,plain,
( spl1_464
| ~ spl1_317
| ~ spl1_322 ),
inference(avatar_split_clause,[],[f5568,f5565,f5332,f9897]) ).
fof(f5565,plain,
( spl1_322
<=> ! [X0] :
( sdtasdt0(X0,xm) = sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(X0,sz00))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_322])]) ).
fof(f5568,plain,
( ! [X0] :
( sdtasdt0(X0,xm) = sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(X0,xn))
| ~ aNaturalNumber0(X0) )
| ~ spl1_317
| ~ spl1_322 ),
inference(forward_demodulation,[],[f5566,f5334]) ).
fof(f5566,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,xm) = sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(X0,sz00)) )
| ~ spl1_322 ),
inference(avatar_component_clause,[],[f5565]) ).
fof(f9780,plain,
( ~ spl1_4
| spl1_317
| ~ spl1_6
| spl1_463
| ~ spl1_40
| ~ spl1_54 ),
inference(avatar_split_clause,[],[f658,f539,f434,f9778,f164,f5332,f154]) ).
fof(f658,plain,
( ! [X0] :
( xn != sdtasdt0(xn,X0)
| sz10 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10)
| sz00 = xn
| ~ aNaturalNumber0(xn) )
| ~ spl1_40
| ~ spl1_54 ),
inference(superposition,[],[f435,f541]) ).
fof(f9776,plain,
( spl1_462
| ~ spl1_4
| ~ spl1_102
| ~ spl1_181
| ~ spl1_364
| ~ spl1_386 ),
inference(avatar_split_clause,[],[f9635,f7027,f6882,f3235,f1324,f154,f9773]) ).
fof(f9773,plain,
( spl1_462
<=> sz00 = sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xm,xm))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_462])]) ).
fof(f6882,plain,
( spl1_364
<=> ! [X0] :
( sdtasdt0(X0,sdtpldt0(xm,xm)) = sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(X0,xm))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_364])]) ).
fof(f9635,plain,
( sz00 = sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xm,xm)))
| ~ spl1_4
| ~ spl1_102
| ~ spl1_181
| ~ spl1_364
| ~ spl1_386 ),
inference(forward_demodulation,[],[f9628,f7061]) ).
fof(f7061,plain,
( sdtasdt0(xn,sdtpldt0(xm,xm)) = sdtpldt0(sdtasdt0(xm,xn),sdtasdt0(xm,xn))
| ~ spl1_4
| ~ spl1_181
| ~ spl1_364 ),
inference(forward_demodulation,[],[f7055,f3237]) ).
fof(f7055,plain,
( sdtasdt0(xn,sdtpldt0(xm,xm)) = sdtpldt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm))
| ~ spl1_4
| ~ spl1_364 ),
inference(resolution,[],[f6883,f156]) ).
fof(f6883,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtpldt0(xm,xm)) = sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(X0,xm)) )
| ~ spl1_364 ),
inference(avatar_component_clause,[],[f6882]) ).
fof(f9628,plain,
( sz00 = sdtasdt0(sz00,sdtpldt0(sdtasdt0(xm,xn),sdtasdt0(xm,xn)))
| ~ spl1_102
| ~ spl1_386 ),
inference(resolution,[],[f7028,f1325]) ).
fof(f9766,plain,
( ~ spl1_6
| spl1_8
| ~ spl1_3
| spl1_461
| ~ spl1_41
| ~ spl1_53 ),
inference(avatar_split_clause,[],[f650,f534,f438,f9764,f149,f173,f164]) ).
fof(f9764,plain,
( spl1_461
<=> ! [X0] :
( sdtasdt0(X0,sz10) != xm
| ~ aNaturalNumber0(X0)
| xm = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_461])]) ).
fof(f650,plain,
( ! [X0] :
( sdtasdt0(X0,sz10) != xm
| xm = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xm)
| sz00 = sz10
| ~ aNaturalNumber0(sz10) )
| ~ spl1_41
| ~ spl1_53 ),
inference(superposition,[],[f439,f536]) ).
fof(f9760,plain,
( ~ spl1_3
| spl1_1
| ~ spl1_6
| spl1_460
| ~ spl1_40
| ~ spl1_53 ),
inference(avatar_split_clause,[],[f648,f534,f434,f9758,f164,f139,f149]) ).
fof(f9758,plain,
( spl1_460
<=> ! [X0] :
( xm != sdtasdt0(xm,X0)
| ~ aNaturalNumber0(X0)
| sz10 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_460])]) ).
fof(f648,plain,
( ! [X0] :
( xm != sdtasdt0(xm,X0)
| sz10 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10)
| sz00 = xm
| ~ aNaturalNumber0(xm) )
| ~ spl1_40
| ~ spl1_53 ),
inference(superposition,[],[f435,f536]) ).
fof(f9721,plain,
( ~ spl1_5
| ~ spl1_4
| spl1_459
| ~ spl1_43
| ~ spl1_52 ),
inference(avatar_split_clause,[],[f644,f529,f446,f9719,f154,f159]) ).
fof(f9719,plain,
( spl1_459
<=> ! [X0] :
( sdtlseqdt0(xn,sdtpldt0(X0,xn))
| ~ aNaturalNumber0(X0)
| sz00 = X0
| ~ sdtlseqdt0(sz00,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_459])]) ).
fof(f529,plain,
( spl1_52
<=> xn = sdtpldt0(sz00,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_52])]) ).
fof(f644,plain,
( ! [X0] :
( sdtlseqdt0(xn,sdtpldt0(X0,xn))
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(sz00,X0)
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz00) )
| ~ spl1_43
| ~ spl1_52 ),
inference(superposition,[],[f447,f531]) ).
fof(f531,plain,
( xn = sdtpldt0(sz00,xn)
| ~ spl1_52 ),
inference(avatar_component_clause,[],[f529]) ).
fof(f9684,plain,
( ~ spl1_5
| ~ spl1_4
| spl1_458
| ~ spl1_43
| ~ spl1_52 ),
inference(avatar_split_clause,[],[f643,f529,f446,f9682,f154,f159]) ).
fof(f9682,plain,
( spl1_458
<=> ! [X0] :
( sdtlseqdt0(sdtpldt0(X0,xn),xn)
| ~ aNaturalNumber0(X0)
| sz00 = X0
| ~ sdtlseqdt0(X0,sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_458])]) ).
fof(f643,plain,
( ! [X0] :
( sdtlseqdt0(sdtpldt0(X0,xn),xn)
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(X0,sz00)
| sz00 = X0
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) )
| ~ spl1_43
| ~ spl1_52 ),
inference(superposition,[],[f447,f531]) ).
fof(f9643,plain,
( ~ spl1_4
| ~ spl1_5
| spl1_457
| ~ spl1_42
| ~ spl1_52 ),
inference(avatar_split_clause,[],[f642,f529,f442,f9641,f159,f154]) ).
fof(f9641,plain,
( spl1_457
<=> ! [X0] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xn)
| ~ aNaturalNumber0(X0)
| xn = X0
| ~ sdtlseqdt0(X0,xn) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_457])]) ).
fof(f642,plain,
( ! [X0] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xn)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(X0,xn)
| xn = X0
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) )
| ~ spl1_42
| ~ spl1_52 ),
inference(superposition,[],[f443,f531]) ).
fof(f9576,plain,
( ~ spl1_4
| ~ spl1_5
| spl1_456
| ~ spl1_42
| ~ spl1_52 ),
inference(avatar_split_clause,[],[f641,f529,f442,f9574,f159,f154]) ).
fof(f9574,plain,
( spl1_456
<=> ! [X0] :
( sdtlseqdt0(xn,sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(X0)
| xn = X0
| ~ sdtlseqdt0(xn,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_456])]) ).
fof(f641,plain,
( ! [X0] :
( sdtlseqdt0(xn,sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(xn,X0)
| xn = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xn) )
| ~ spl1_42
| ~ spl1_52 ),
inference(superposition,[],[f443,f531]) ).
fof(f9536,plain,
( ~ spl1_5
| ~ spl1_3
| spl1_455
| ~ spl1_43
| ~ spl1_51 ),
inference(avatar_split_clause,[],[f631,f524,f446,f9534,f149,f159]) ).
fof(f9534,plain,
( spl1_455
<=> ! [X0] :
( sdtlseqdt0(xm,sdtpldt0(X0,xm))
| ~ aNaturalNumber0(X0)
| sz00 = X0
| ~ sdtlseqdt0(sz00,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_455])]) ).
fof(f524,plain,
( spl1_51
<=> xm = sdtpldt0(sz00,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_51])]) ).
fof(f631,plain,
( ! [X0] :
( sdtlseqdt0(xm,sdtpldt0(X0,xm))
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(sz00,X0)
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz00) )
| ~ spl1_43
| ~ spl1_51 ),
inference(superposition,[],[f447,f526]) ).
fof(f526,plain,
( xm = sdtpldt0(sz00,xm)
| ~ spl1_51 ),
inference(avatar_component_clause,[],[f524]) ).
fof(f9498,plain,
( ~ spl1_5
| ~ spl1_3
| spl1_454
| ~ spl1_43
| ~ spl1_51 ),
inference(avatar_split_clause,[],[f630,f524,f446,f9496,f149,f159]) ).
fof(f9496,plain,
( spl1_454
<=> ! [X0] :
( sdtlseqdt0(sdtpldt0(X0,xm),xm)
| ~ aNaturalNumber0(X0)
| sz00 = X0
| ~ sdtlseqdt0(X0,sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_454])]) ).
fof(f630,plain,
( ! [X0] :
( sdtlseqdt0(sdtpldt0(X0,xm),xm)
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(X0,sz00)
| sz00 = X0
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) )
| ~ spl1_43
| ~ spl1_51 ),
inference(superposition,[],[f447,f526]) ).
fof(f9457,plain,
( ~ spl1_3
| ~ spl1_5
| spl1_453
| ~ spl1_42
| ~ spl1_51 ),
inference(avatar_split_clause,[],[f629,f524,f442,f9455,f159,f149]) ).
fof(f9455,plain,
( spl1_453
<=> ! [X0] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xm)
| ~ aNaturalNumber0(X0)
| xm = X0
| ~ sdtlseqdt0(X0,xm) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_453])]) ).
fof(f629,plain,
( ! [X0] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xm)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(X0,xm)
| xm = X0
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) )
| ~ spl1_42
| ~ spl1_51 ),
inference(superposition,[],[f443,f526]) ).
fof(f9406,plain,
( ~ spl1_3
| ~ spl1_5
| spl1_452
| ~ spl1_42
| ~ spl1_51 ),
inference(avatar_split_clause,[],[f628,f524,f442,f9404,f159,f149]) ).
fof(f9404,plain,
( spl1_452
<=> ! [X0] :
( sdtlseqdt0(xm,sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(X0)
| xm = X0
| ~ sdtlseqdt0(xm,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_452])]) ).
fof(f628,plain,
( ! [X0] :
( sdtlseqdt0(xm,sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(xm,X0)
| xm = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xm) )
| ~ spl1_42
| ~ spl1_51 ),
inference(superposition,[],[f443,f526]) ).
fof(f9343,plain,
( ~ spl1_4
| ~ spl1_5
| spl1_451
| ~ spl1_43
| ~ spl1_48 ),
inference(avatar_split_clause,[],[f618,f503,f446,f9341,f159,f154]) ).
fof(f9341,plain,
( spl1_451
<=> ! [X0] :
( sdtlseqdt0(xn,sdtpldt0(X0,sz00))
| ~ aNaturalNumber0(X0)
| xn = X0
| ~ sdtlseqdt0(xn,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_451])]) ).
fof(f503,plain,
( spl1_48
<=> xn = sdtpldt0(xn,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_48])]) ).
fof(f618,plain,
( ! [X0] :
( sdtlseqdt0(xn,sdtpldt0(X0,sz00))
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(xn,X0)
| xn = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xn) )
| ~ spl1_43
| ~ spl1_48 ),
inference(superposition,[],[f447,f505]) ).
fof(f505,plain,
( xn = sdtpldt0(xn,sz00)
| ~ spl1_48 ),
inference(avatar_component_clause,[],[f503]) ).
fof(f9303,plain,
( ~ spl1_4
| ~ spl1_5
| spl1_450
| ~ spl1_43
| ~ spl1_48 ),
inference(avatar_split_clause,[],[f617,f503,f446,f9301,f159,f154]) ).
fof(f9301,plain,
( spl1_450
<=> ! [X0] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xn)
| ~ aNaturalNumber0(X0)
| xn = X0
| ~ sdtlseqdt0(X0,xn) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_450])]) ).
fof(f617,plain,
( ! [X0] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xn)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(X0,xn)
| xn = X0
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) )
| ~ spl1_43
| ~ spl1_48 ),
inference(superposition,[],[f447,f505]) ).
fof(f9264,plain,
( ~ spl1_5
| ~ spl1_4
| spl1_449
| ~ spl1_42
| ~ spl1_48 ),
inference(avatar_split_clause,[],[f616,f503,f442,f9262,f154,f159]) ).
fof(f9262,plain,
( spl1_449
<=> ! [X0] :
( sdtlseqdt0(sdtpldt0(xn,X0),xn)
| ~ aNaturalNumber0(X0)
| sz00 = X0
| ~ sdtlseqdt0(X0,sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_449])]) ).
fof(f616,plain,
( ! [X0] :
( sdtlseqdt0(sdtpldt0(xn,X0),xn)
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(X0,sz00)
| sz00 = X0
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) )
| ~ spl1_42
| ~ spl1_48 ),
inference(superposition,[],[f443,f505]) ).
fof(f9223,plain,
( ~ spl1_5
| ~ spl1_4
| spl1_448
| ~ spl1_42
| ~ spl1_48 ),
inference(avatar_split_clause,[],[f615,f503,f442,f9221,f154,f159]) ).
fof(f9221,plain,
( spl1_448
<=> ! [X0] :
( sdtlseqdt0(xn,sdtpldt0(xn,X0))
| ~ aNaturalNumber0(X0)
| sz00 = X0
| ~ sdtlseqdt0(sz00,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_448])]) ).
fof(f615,plain,
( ! [X0] :
( sdtlseqdt0(xn,sdtpldt0(xn,X0))
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(sz00,X0)
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz00) )
| ~ spl1_42
| ~ spl1_48 ),
inference(superposition,[],[f443,f505]) ).
fof(f9181,plain,
( ~ spl1_3
| ~ spl1_5
| spl1_447
| ~ spl1_43
| ~ spl1_44 ),
inference(avatar_split_clause,[],[f604,f450,f446,f9179,f159,f149]) ).
fof(f9179,plain,
( spl1_447
<=> ! [X0] :
( sdtlseqdt0(xm,sdtpldt0(X0,sz00))
| ~ aNaturalNumber0(X0)
| xm = X0
| ~ sdtlseqdt0(xm,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_447])]) ).
fof(f450,plain,
( spl1_44
<=> xm = sdtpldt0(xm,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_44])]) ).
fof(f604,plain,
( ! [X0] :
( sdtlseqdt0(xm,sdtpldt0(X0,sz00))
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(xm,X0)
| xm = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xm) )
| ~ spl1_43
| ~ spl1_44 ),
inference(superposition,[],[f447,f452]) ).
fof(f452,plain,
( xm = sdtpldt0(xm,sz00)
| ~ spl1_44 ),
inference(avatar_component_clause,[],[f450]) ).
fof(f9177,plain,
( spl1_446
| ~ spl1_3
| ~ spl1_304
| ~ spl1_370 ),
inference(avatar_split_clause,[],[f6910,f6906,f5232,f149,f9174]) ).
fof(f9174,plain,
( spl1_446
<=> sdtasdt0(xn,sdtasdt0(xm,xn)) = sdtasdt0(xm,sdtasdt0(xn,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_446])]) ).
fof(f5232,plain,
( spl1_304
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,xn),xn) = sdtasdt0(X0,sdtasdt0(xn,xn))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_304])]) ).
fof(f6906,plain,
( spl1_370
<=> sdtasdt0(sdtasdt0(xm,xn),xn) = sdtasdt0(xn,sdtasdt0(xm,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_370])]) ).
fof(f6910,plain,
( sdtasdt0(xn,sdtasdt0(xm,xn)) = sdtasdt0(xm,sdtasdt0(xn,xn))
| ~ spl1_3
| ~ spl1_304
| ~ spl1_370 ),
inference(forward_demodulation,[],[f6908,f5872]) ).
fof(f5872,plain,
( sdtasdt0(sdtasdt0(xm,xn),xn) = sdtasdt0(xm,sdtasdt0(xn,xn))
| ~ spl1_3
| ~ spl1_304 ),
inference(resolution,[],[f5233,f151]) ).
fof(f5233,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,xn),xn) = sdtasdt0(X0,sdtasdt0(xn,xn)) )
| ~ spl1_304 ),
inference(avatar_component_clause,[],[f5232]) ).
fof(f6908,plain,
( sdtasdt0(sdtasdt0(xm,xn),xn) = sdtasdt0(xn,sdtasdt0(xm,xn))
| ~ spl1_370 ),
inference(avatar_component_clause,[],[f6906]) ).
fof(f9136,plain,
( ~ spl1_3
| ~ spl1_5
| spl1_445
| ~ spl1_43
| ~ spl1_44 ),
inference(avatar_split_clause,[],[f603,f450,f446,f9134,f159,f149]) ).
fof(f9134,plain,
( spl1_445
<=> ! [X0] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xm)
| ~ aNaturalNumber0(X0)
| xm = X0
| ~ sdtlseqdt0(X0,xm) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_445])]) ).
fof(f603,plain,
( ! [X0] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xm)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(X0,xm)
| xm = X0
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) )
| ~ spl1_43
| ~ spl1_44 ),
inference(superposition,[],[f447,f452]) ).
fof(f9097,plain,
( ~ spl1_5
| ~ spl1_3
| spl1_444
| ~ spl1_42
| ~ spl1_44 ),
inference(avatar_split_clause,[],[f602,f450,f442,f9095,f149,f159]) ).
fof(f9095,plain,
( spl1_444
<=> ! [X0] :
( sdtlseqdt0(sdtpldt0(xm,X0),xm)
| ~ aNaturalNumber0(X0)
| sz00 = X0
| ~ sdtlseqdt0(X0,sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_444])]) ).
fof(f602,plain,
( ! [X0] :
( sdtlseqdt0(sdtpldt0(xm,X0),xm)
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(X0,sz00)
| sz00 = X0
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) )
| ~ spl1_42
| ~ spl1_44 ),
inference(superposition,[],[f443,f452]) ).
fof(f9056,plain,
( ~ spl1_5
| ~ spl1_3
| spl1_443
| ~ spl1_42
| ~ spl1_44 ),
inference(avatar_split_clause,[],[f601,f450,f442,f9054,f149,f159]) ).
fof(f9054,plain,
( spl1_443
<=> ! [X0] :
( sdtlseqdt0(xm,sdtpldt0(xm,X0))
| ~ aNaturalNumber0(X0)
| sz00 = X0
| ~ sdtlseqdt0(sz00,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_443])]) ).
fof(f601,plain,
( ! [X0] :
( sdtlseqdt0(xm,sdtpldt0(xm,X0))
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(sz00,X0)
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz00) )
| ~ spl1_42
| ~ spl1_44 ),
inference(superposition,[],[f443,f452]) ).
fof(f8340,plain,
( spl1_442
| ~ spl1_19
| ~ spl1_117 ),
inference(avatar_split_clause,[],[f1637,f1478,f255,f8338]) ).
fof(f8338,plain,
( spl1_442
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtmndt0(X0,X1) = sdtasdt0(sz10,sdtmndt0(X0,X1))
| sdtlseqdt0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_442])]) ).
fof(f1637,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtmndt0(X0,X1) = sdtasdt0(sz10,sdtmndt0(X0,X1))
| sdtlseqdt0(X0,X1) )
| ~ spl1_19
| ~ spl1_117 ),
inference(duplicate_literal_removal,[],[f1624]) ).
fof(f1624,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtmndt0(X0,X1) = sdtasdt0(sz10,sdtmndt0(X0,X1))
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl1_19
| ~ spl1_117 ),
inference(resolution,[],[f1479,f256]) ).
fof(f8336,plain,
( spl1_441
| ~ spl1_19
| ~ spl1_116 ),
inference(avatar_split_clause,[],[f1617,f1473,f255,f8334]) ).
fof(f8334,plain,
( spl1_441
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtmndt0(X0,X1) = sdtasdt0(sdtmndt0(X0,X1),sz10)
| sdtlseqdt0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_441])]) ).
fof(f1617,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtmndt0(X0,X1) = sdtasdt0(sdtmndt0(X0,X1),sz10)
| sdtlseqdt0(X0,X1) )
| ~ spl1_19
| ~ spl1_116 ),
inference(duplicate_literal_removal,[],[f1604]) ).
fof(f1604,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtmndt0(X0,X1) = sdtasdt0(sdtmndt0(X0,X1),sz10)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl1_19
| ~ spl1_116 ),
inference(resolution,[],[f1474,f256]) ).
fof(f8332,plain,
( spl1_440
| ~ spl1_19
| ~ spl1_115 ),
inference(avatar_split_clause,[],[f1597,f1469,f255,f8330]) ).
fof(f8330,plain,
( spl1_440
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtmndt0(X0,X1) = sdtpldt0(sz00,sdtmndt0(X0,X1))
| sdtlseqdt0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_440])]) ).
fof(f1597,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtmndt0(X0,X1) = sdtpldt0(sz00,sdtmndt0(X0,X1))
| sdtlseqdt0(X0,X1) )
| ~ spl1_19
| ~ spl1_115 ),
inference(duplicate_literal_removal,[],[f1584]) ).
fof(f1584,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtmndt0(X0,X1) = sdtpldt0(sz00,sdtmndt0(X0,X1))
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl1_19
| ~ spl1_115 ),
inference(resolution,[],[f1470,f256]) ).
fof(f8328,plain,
( spl1_439
| ~ spl1_19
| ~ spl1_114 ),
inference(avatar_split_clause,[],[f1577,f1465,f255,f8326]) ).
fof(f8326,plain,
( spl1_439
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtmndt0(X0,X1) = sdtpldt0(sdtmndt0(X0,X1),sz00)
| sdtlseqdt0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_439])]) ).
fof(f1577,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtmndt0(X0,X1) = sdtpldt0(sdtmndt0(X0,X1),sz00)
| sdtlseqdt0(X0,X1) )
| ~ spl1_19
| ~ spl1_114 ),
inference(duplicate_literal_removal,[],[f1564]) ).
fof(f1564,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtmndt0(X0,X1) = sdtpldt0(sdtmndt0(X0,X1),sz00)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl1_19
| ~ spl1_114 ),
inference(resolution,[],[f1466,f256]) ).
fof(f8324,plain,
( spl1_438
| ~ spl1_19
| ~ spl1_113 ),
inference(avatar_split_clause,[],[f1557,f1461,f255,f8322]) ).
fof(f8322,plain,
( spl1_438
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sK0(X1,X0) = sdtasdt0(sz10,sK0(X1,X0))
| sdtlseqdt0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_438])]) ).
fof(f1557,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sK0(X1,X0) = sdtasdt0(sz10,sK0(X1,X0))
| sdtlseqdt0(X0,X1) )
| ~ spl1_19
| ~ spl1_113 ),
inference(duplicate_literal_removal,[],[f1544]) ).
fof(f1544,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sK0(X1,X0) = sdtasdt0(sz10,sK0(X1,X0))
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl1_19
| ~ spl1_113 ),
inference(resolution,[],[f1462,f256]) ).
fof(f8320,plain,
( spl1_437
| ~ spl1_19
| ~ spl1_112 ),
inference(avatar_split_clause,[],[f1537,f1457,f255,f8318]) ).
fof(f8318,plain,
( spl1_437
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sK0(X1,X0) = sdtasdt0(sK0(X1,X0),sz10)
| sdtlseqdt0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_437])]) ).
fof(f1537,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sK0(X1,X0) = sdtasdt0(sK0(X1,X0),sz10)
| sdtlseqdt0(X0,X1) )
| ~ spl1_19
| ~ spl1_112 ),
inference(duplicate_literal_removal,[],[f1524]) ).
fof(f1524,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sK0(X1,X0) = sdtasdt0(sK0(X1,X0),sz10)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl1_19
| ~ spl1_112 ),
inference(resolution,[],[f1458,f256]) ).
fof(f8315,plain,
( spl1_436
| ~ spl1_3
| ~ spl1_327
| ~ spl1_352 ),
inference(avatar_split_clause,[],[f6487,f6483,f5641,f149,f8312]) ).
fof(f6483,plain,
( spl1_352
<=> sdtpldt0(xn,sdtasdt0(xm,xn)) = sdtpldt0(sdtasdt0(xm,xn),xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_352])]) ).
fof(f6487,plain,
( sdtpldt0(xn,sdtasdt0(xm,xn)) = sdtasdt0(sdtpldt0(xm,sz10),xn)
| ~ spl1_3
| ~ spl1_327
| ~ spl1_352 ),
inference(forward_demodulation,[],[f6485,f6112]) ).
fof(f6485,plain,
( sdtpldt0(xn,sdtasdt0(xm,xn)) = sdtpldt0(sdtasdt0(xm,xn),xn)
| ~ spl1_352 ),
inference(avatar_component_clause,[],[f6483]) ).
fof(f8310,plain,
( spl1_435
| ~ spl1_19
| ~ spl1_111 ),
inference(avatar_split_clause,[],[f1517,f1453,f255,f8308]) ).
fof(f8308,plain,
( spl1_435
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sK0(X1,X0) = sdtpldt0(sz00,sK0(X1,X0))
| sdtlseqdt0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_435])]) ).
fof(f1517,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sK0(X1,X0) = sdtpldt0(sz00,sK0(X1,X0))
| sdtlseqdt0(X0,X1) )
| ~ spl1_19
| ~ spl1_111 ),
inference(duplicate_literal_removal,[],[f1504]) ).
fof(f1504,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sK0(X1,X0) = sdtpldt0(sz00,sK0(X1,X0))
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl1_19
| ~ spl1_111 ),
inference(resolution,[],[f1454,f256]) ).
fof(f8306,plain,
( spl1_434
| ~ spl1_19
| ~ spl1_110 ),
inference(avatar_split_clause,[],[f1497,f1449,f255,f8304]) ).
fof(f8304,plain,
( spl1_434
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sK0(X1,X0) = sdtpldt0(sK0(X1,X0),sz00)
| sdtlseqdt0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_434])]) ).
fof(f1497,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sK0(X1,X0) = sdtpldt0(sK0(X1,X0),sz00)
| sdtlseqdt0(X0,X1) )
| ~ spl1_19
| ~ spl1_110 ),
inference(duplicate_literal_removal,[],[f1484]) ).
fof(f1484,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sK0(X1,X0) = sdtpldt0(sK0(X1,X0),sz00)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl1_19
| ~ spl1_110 ),
inference(resolution,[],[f1450,f256]) ).
fof(f8217,plain,
( spl1_433
| ~ spl1_4
| ~ spl1_181
| ~ spl1_326
| ~ spl1_345 ),
inference(avatar_split_clause,[],[f6431,f6427,f5637,f3235,f154,f8214]) ).
fof(f6427,plain,
( spl1_345
<=> sdtpldt0(sdtasdt0(xm,xn),xm) = sdtpldt0(xm,sdtasdt0(xm,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_345])]) ).
fof(f6431,plain,
( sdtpldt0(xm,sdtasdt0(xm,xn)) = sdtasdt0(sdtpldt0(xn,sz10),xm)
| ~ spl1_4
| ~ spl1_181
| ~ spl1_326
| ~ spl1_345 ),
inference(forward_demodulation,[],[f6429,f6105]) ).
fof(f6429,plain,
( sdtpldt0(sdtasdt0(xm,xn),xm) = sdtpldt0(xm,sdtasdt0(xm,xn))
| ~ spl1_345 ),
inference(avatar_component_clause,[],[f6427]) ).
fof(f7841,plain,
( spl1_432
| ~ spl1_4
| ~ spl1_67
| ~ spl1_102
| ~ spl1_181
| ~ spl1_301 ),
inference(avatar_split_clause,[],[f5815,f5220,f3235,f1324,f834,f154,f7838]) ).
fof(f7838,plain,
( spl1_432
<=> sdtasdt0(xm,sdtasdt0(xm,xn)) = sdtasdt0(xn,sdtasdt0(xm,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_432])]) ).
fof(f5220,plain,
( spl1_301
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,xm),xm) = sdtasdt0(X0,sdtasdt0(xm,xm))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_301])]) ).
fof(f5815,plain,
( sdtasdt0(xm,sdtasdt0(xm,xn)) = sdtasdt0(xn,sdtasdt0(xm,xm))
| ~ spl1_4
| ~ spl1_67
| ~ spl1_102
| ~ spl1_181
| ~ spl1_301 ),
inference(forward_demodulation,[],[f5814,f1659]) ).
fof(f1659,plain,
( sdtasdt0(sdtasdt0(xm,xn),xm) = sdtasdt0(xm,sdtasdt0(xm,xn))
| ~ spl1_67
| ~ spl1_102 ),
inference(resolution,[],[f1325,f835]) ).
fof(f5814,plain,
( sdtasdt0(sdtasdt0(xm,xn),xm) = sdtasdt0(xn,sdtasdt0(xm,xm))
| ~ spl1_4
| ~ spl1_181
| ~ spl1_301 ),
inference(forward_demodulation,[],[f5773,f3237]) ).
fof(f5773,plain,
( sdtasdt0(sdtasdt0(xn,xm),xm) = sdtasdt0(xn,sdtasdt0(xm,xm))
| ~ spl1_4
| ~ spl1_301 ),
inference(resolution,[],[f5221,f156]) ).
fof(f5221,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,xm),xm) = sdtasdt0(X0,sdtasdt0(xm,xm)) )
| ~ spl1_301 ),
inference(avatar_component_clause,[],[f5220]) ).
fof(f7746,plain,
( spl1_431
| ~ spl1_102
| ~ spl1_218 ),
inference(avatar_split_clause,[],[f4042,f3882,f1324,f7743]) ).
fof(f7743,plain,
( spl1_431
<=> sz00 = sdtasdt0(sz00,sdtmndt0(sdtasdt0(xm,xn),sdtasdt0(xm,xn))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_431])]) ).
fof(f3882,plain,
( spl1_218
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtmndt0(X0,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_218])]) ).
fof(f4042,plain,
( sz00 = sdtasdt0(sz00,sdtmndt0(sdtasdt0(xm,xn),sdtasdt0(xm,xn)))
| ~ spl1_102
| ~ spl1_218 ),
inference(resolution,[],[f3883,f1325]) ).
fof(f3883,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtmndt0(X0,X0)) )
| ~ spl1_218 ),
inference(avatar_component_clause,[],[f3882]) ).
fof(f7705,plain,
( spl1_430
| ~ spl1_9
| ~ spl1_142 ),
inference(avatar_split_clause,[],[f2172,f2082,f178,f7703]) ).
fof(f7703,plain,
( spl1_430
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X1,sdtmndt0(X0,X0)) = sdtasdt0(sdtmndt0(X0,X0),X1)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_430])]) ).
fof(f178,plain,
( spl1_9
<=> ! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_9])]) ).
fof(f2172,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X1,sdtmndt0(X0,X0)) = sdtasdt0(sdtmndt0(X0,X0),X1)
| ~ aNaturalNumber0(X1) )
| ~ spl1_9
| ~ spl1_142 ),
inference(duplicate_literal_removal,[],[f2151]) ).
fof(f2151,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X1,sdtmndt0(X0,X0)) = sdtasdt0(sdtmndt0(X0,X0),X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl1_9
| ~ spl1_142 ),
inference(resolution,[],[f2083,f179]) ).
fof(f179,plain,
( ! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl1_9 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f7701,plain,
( spl1_429
| ~ spl1_9
| ~ spl1_141 ),
inference(avatar_split_clause,[],[f2150,f2068,f178,f7699]) ).
fof(f7699,plain,
( spl1_429
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X1,sdtmndt0(X0,X0)) = sdtpldt0(sdtmndt0(X0,X0),X1)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_429])]) ).
fof(f2150,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X1,sdtmndt0(X0,X0)) = sdtpldt0(sdtmndt0(X0,X0),X1)
| ~ aNaturalNumber0(X1) )
| ~ spl1_9
| ~ spl1_141 ),
inference(duplicate_literal_removal,[],[f2129]) ).
fof(f2129,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X1,sdtmndt0(X0,X0)) = sdtpldt0(sdtmndt0(X0,X0),X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl1_9
| ~ spl1_141 ),
inference(resolution,[],[f2069,f179]) ).
fof(f7697,plain,
( spl1_428
| ~ spl1_9
| ~ spl1_140 ),
inference(avatar_split_clause,[],[f2128,f2064,f178,f7695]) ).
fof(f7695,plain,
( spl1_428
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X1,sK0(X0,X0)) = sdtasdt0(sK0(X0,X0),X1)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_428])]) ).
fof(f2128,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X1,sK0(X0,X0)) = sdtasdt0(sK0(X0,X0),X1)
| ~ aNaturalNumber0(X1) )
| ~ spl1_9
| ~ spl1_140 ),
inference(duplicate_literal_removal,[],[f2107]) ).
fof(f2107,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X1,sK0(X0,X0)) = sdtasdt0(sK0(X0,X0),X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl1_9
| ~ spl1_140 ),
inference(resolution,[],[f2065,f179]) ).
fof(f7693,plain,
( spl1_427
| ~ spl1_9
| ~ spl1_139 ),
inference(avatar_split_clause,[],[f2106,f2060,f178,f7691]) ).
fof(f7691,plain,
( spl1_427
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X1,sK0(X0,X0)) = sdtpldt0(sK0(X0,X0),X1)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_427])]) ).
fof(f2106,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X1,sK0(X0,X0)) = sdtpldt0(sK0(X0,X0),X1)
| ~ aNaturalNumber0(X1) )
| ~ spl1_9
| ~ spl1_139 ),
inference(duplicate_literal_removal,[],[f2085]) ).
fof(f2085,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X1,sK0(X0,X0)) = sdtpldt0(sK0(X0,X0),X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl1_9
| ~ spl1_139 ),
inference(resolution,[],[f2061,f179]) ).
fof(f7689,plain,
( spl1_426
| ~ spl1_16
| ~ spl1_138 ),
inference(avatar_split_clause,[],[f2058,f2024,f230,f7687]) ).
fof(f7687,plain,
( spl1_426
<=> ! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X0,sdtmndt0(sdtpldt0(X0,X1),X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_426])]) ).
fof(f2024,plain,
( spl1_138
<=> ! [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,[spl1_138])]) ).
fof(f2058,plain,
( ! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X0,sdtmndt0(sdtpldt0(X0,X1),X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl1_16
| ~ spl1_138 ),
inference(duplicate_literal_removal,[],[f2043]) ).
fof(f2043,plain,
( ! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X0,sdtmndt0(sdtpldt0(X0,X1),X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl1_16
| ~ spl1_138 ),
inference(resolution,[],[f2025,f231]) ).
fof(f2025,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(sdtpldt0(X0,X1))
| sdtpldt0(X0,X1) = sdtpldt0(X0,sdtmndt0(sdtpldt0(X0,X1),X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl1_138 ),
inference(avatar_component_clause,[],[f2024]) ).
fof(f7685,plain,
( spl1_425
| ~ spl1_16
| ~ spl1_137 ),
inference(avatar_split_clause,[],[f2042,f2020,f230,f7683]) ).
fof(f7683,plain,
( spl1_425
<=> ! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X0,sK0(X0,sdtpldt0(X0,X1)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_425])]) ).
fof(f2020,plain,
( spl1_137
<=> ! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X0,sK0(X0,sdtpldt0(X0,X1)))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_137])]) ).
fof(f2042,plain,
( ! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X0,sK0(X0,sdtpldt0(X0,X1)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl1_16
| ~ spl1_137 ),
inference(duplicate_literal_removal,[],[f2027]) ).
fof(f2027,plain,
( ! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X0,sK0(X0,sdtpldt0(X0,X1)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl1_16
| ~ spl1_137 ),
inference(resolution,[],[f2021,f231]) ).
fof(f2021,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(sdtpldt0(X0,X1))
| sdtpldt0(X0,X1) = sdtpldt0(X0,sK0(X0,sdtpldt0(X0,X1)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl1_137 ),
inference(avatar_component_clause,[],[f2020]) ).
fof(f7681,plain,
( spl1_424
| ~ spl1_102
| ~ spl1_217 ),
inference(avatar_split_clause,[],[f4029,f3878,f1324,f7678]) ).
fof(f7678,plain,
( spl1_424
<=> sz00 = sdtasdt0(sdtmndt0(sdtasdt0(xm,xn),sdtasdt0(xm,xn)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_424])]) ).
fof(f3878,plain,
( spl1_217
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtmndt0(X0,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_217])]) ).
fof(f4029,plain,
( sz00 = sdtasdt0(sdtmndt0(sdtasdt0(xm,xn),sdtasdt0(xm,xn)),sz00)
| ~ spl1_102
| ~ spl1_217 ),
inference(resolution,[],[f3879,f1325]) ).
fof(f3879,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtmndt0(X0,X0),sz00) )
| ~ spl1_217 ),
inference(avatar_component_clause,[],[f3878]) ).
fof(f7676,plain,
( spl1_423
| ~ spl1_6
| ~ spl1_130 ),
inference(avatar_split_clause,[],[f1877,f1810,f164,f7674]) ).
fof(f7674,plain,
( spl1_423
<=> ! [X0] :
( sdtasdt0(X0,sdtpldt0(sz10,sz10)) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,sz10))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_423])]) ).
fof(f1810,plain,
( spl1_130
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sz10)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_130])]) ).
fof(f1877,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sz10,sz10)) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,sz10))
| ~ aNaturalNumber0(X0) )
| ~ spl1_6
| ~ spl1_130 ),
inference(resolution,[],[f1811,f166]) ).
fof(f1811,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| sdtasdt0(X0,sdtpldt0(X1,sz10)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz10))
| ~ aNaturalNumber0(X0) )
| ~ spl1_130 ),
inference(avatar_component_clause,[],[f1810]) ).
fof(f7672,plain,
( spl1_422
| ~ spl1_6
| ~ spl1_126 ),
inference(avatar_split_clause,[],[f1854,f1776,f164,f7670]) ).
fof(f7670,plain,
( spl1_422
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtasdt0(X1,sz10)) = sdtasdt0(sdtasdt0(X1,sz10),X0)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_422])]) ).
fof(f1776,plain,
( spl1_126
<=> ! [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,[spl1_126])]) ).
fof(f1854,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtasdt0(X1,sz10)) = sdtasdt0(sdtasdt0(X1,sz10),X0)
| ~ aNaturalNumber0(X1) )
| ~ spl1_6
| ~ spl1_126 ),
inference(resolution,[],[f1777,f166]) ).
fof(f1777,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X1,X2),X0)
| ~ aNaturalNumber0(X1) )
| ~ spl1_126 ),
inference(avatar_component_clause,[],[f1776]) ).
fof(f7668,plain,
( spl1_421
| ~ spl1_5
| ~ spl1_126 ),
inference(avatar_split_clause,[],[f1853,f1776,f159,f7666]) ).
fof(f7666,plain,
( spl1_421
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtasdt0(X1,sz00)) = sdtasdt0(sdtasdt0(X1,sz00),X0)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_421])]) ).
fof(f1853,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtasdt0(X1,sz00)) = sdtasdt0(sdtasdt0(X1,sz00),X0)
| ~ aNaturalNumber0(X1) )
| ~ spl1_5
| ~ spl1_126 ),
inference(resolution,[],[f1777,f161]) ).
fof(f161,plain,
( aNaturalNumber0(sz00)
| ~ spl1_5 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f7664,plain,
( spl1_420
| ~ spl1_6
| ~ spl1_124 ),
inference(avatar_split_clause,[],[f1845,f1767,f164,f7662]) ).
fof(f7662,plain,
( spl1_420
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtpldt0(X1,sz10)) = sdtasdt0(sdtpldt0(X1,sz10),X0)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_420])]) ).
fof(f1767,plain,
( spl1_124
<=> ! [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,[spl1_124])]) ).
fof(f1845,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtpldt0(X1,sz10)) = sdtasdt0(sdtpldt0(X1,sz10),X0)
| ~ aNaturalNumber0(X1) )
| ~ spl1_6
| ~ spl1_124 ),
inference(resolution,[],[f1768,f166]) ).
fof(f1768,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtasdt0(sdtpldt0(X1,X2),X0)
| ~ aNaturalNumber0(X1) )
| ~ spl1_124 ),
inference(avatar_component_clause,[],[f1767]) ).
fof(f7660,plain,
( spl1_419
| ~ spl1_5
| ~ spl1_124 ),
inference(avatar_split_clause,[],[f1844,f1767,f159,f7658]) ).
fof(f7658,plain,
( spl1_419
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtpldt0(X1,sz00)) = sdtasdt0(sdtpldt0(X1,sz00),X0)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_419])]) ).
fof(f1844,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtpldt0(X1,sz00)) = sdtasdt0(sdtpldt0(X1,sz00),X0)
| ~ aNaturalNumber0(X1) )
| ~ spl1_5
| ~ spl1_124 ),
inference(resolution,[],[f1768,f161]) ).
fof(f7656,plain,
( spl1_418
| ~ spl1_6
| ~ spl1_123 ),
inference(avatar_split_clause,[],[f1836,f1763,f164,f7654]) ).
fof(f7654,plain,
( spl1_418
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sdtasdt0(X1,sz10)) = sdtpldt0(sdtasdt0(X1,sz10),X0)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_418])]) ).
fof(f1763,plain,
( spl1_123
<=> ! [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,[spl1_123])]) ).
fof(f1836,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sdtasdt0(X1,sz10)) = sdtpldt0(sdtasdt0(X1,sz10),X0)
| ~ aNaturalNumber0(X1) )
| ~ spl1_6
| ~ spl1_123 ),
inference(resolution,[],[f1764,f166]) ).
fof(f1764,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sdtasdt0(X1,X2)) = sdtpldt0(sdtasdt0(X1,X2),X0)
| ~ aNaturalNumber0(X1) )
| ~ spl1_123 ),
inference(avatar_component_clause,[],[f1763]) ).
fof(f7652,plain,
( spl1_417
| ~ spl1_5
| ~ spl1_123 ),
inference(avatar_split_clause,[],[f1835,f1763,f159,f7650]) ).
fof(f7650,plain,
( spl1_417
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sdtasdt0(X1,sz00)) = sdtpldt0(sdtasdt0(X1,sz00),X0)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_417])]) ).
fof(f1835,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sdtasdt0(X1,sz00)) = sdtpldt0(sdtasdt0(X1,sz00),X0)
| ~ aNaturalNumber0(X1) )
| ~ spl1_5
| ~ spl1_123 ),
inference(resolution,[],[f1764,f161]) ).
fof(f7648,plain,
( spl1_416
| ~ spl1_6
| ~ spl1_122 ),
inference(avatar_split_clause,[],[f1822,f1759,f164,f7646]) ).
fof(f7646,plain,
( spl1_416
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sdtpldt0(X1,sz10)) = sdtpldt0(sdtpldt0(X1,sz10),X0)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_416])]) ).
fof(f1759,plain,
( spl1_122
<=> ! [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,[spl1_122])]) ).
fof(f1822,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sdtpldt0(X1,sz10)) = sdtpldt0(sdtpldt0(X1,sz10),X0)
| ~ aNaturalNumber0(X1) )
| ~ spl1_6
| ~ spl1_122 ),
inference(resolution,[],[f1760,f166]) ).
fof(f1760,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X1,X2),X0)
| ~ aNaturalNumber0(X1) )
| ~ spl1_122 ),
inference(avatar_component_clause,[],[f1759]) ).
fof(f7644,plain,
( spl1_415
| ~ spl1_5
| ~ spl1_122 ),
inference(avatar_split_clause,[],[f1821,f1759,f159,f7642]) ).
fof(f7642,plain,
( spl1_415
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sdtpldt0(X1,sz00)) = sdtpldt0(sdtpldt0(X1,sz00),X0)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_415])]) ).
fof(f1821,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sdtpldt0(X1,sz00)) = sdtpldt0(sdtpldt0(X1,sz00),X0)
| ~ aNaturalNumber0(X1) )
| ~ spl1_5
| ~ spl1_122 ),
inference(resolution,[],[f1760,f161]) ).
fof(f7640,plain,
( spl1_414
| ~ spl1_19
| ~ spl1_104 ),
inference(avatar_split_clause,[],[f1382,f1343,f255,f7638]) ).
fof(f7638,plain,
( spl1_414
<=> ! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_414])]) ).
fof(f1382,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X0) )
| ~ spl1_19
| ~ spl1_104 ),
inference(duplicate_literal_removal,[],[f1369]) ).
fof(f1369,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0) )
| ~ spl1_19
| ~ spl1_104 ),
inference(resolution,[],[f1344,f256]) ).
fof(f7636,plain,
( spl1_413
| ~ spl1_102
| ~ spl1_216 ),
inference(avatar_split_clause,[],[f4020,f3874,f1324,f7633]) ).
fof(f7633,plain,
( spl1_413
<=> sz00 = sdtasdt0(sz00,sK0(sdtasdt0(xm,xn),sdtasdt0(xm,xn))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_413])]) ).
fof(f3874,plain,
( spl1_216
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sK0(X0,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_216])]) ).
fof(f4020,plain,
( sz00 = sdtasdt0(sz00,sK0(sdtasdt0(xm,xn),sdtasdt0(xm,xn)))
| ~ spl1_102
| ~ spl1_216 ),
inference(resolution,[],[f3875,f1325]) ).
fof(f3875,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sK0(X0,X0)) )
| ~ spl1_216 ),
inference(avatar_component_clause,[],[f3874]) ).
fof(f7631,plain,
( spl1_412
| ~ spl1_17
| ~ spl1_79 ),
inference(avatar_split_clause,[],[f1018,f983,f234,f7629]) ).
fof(f7629,plain,
( spl1_412
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtasdt0(sdtasdt0(X1,X2),X0),sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_412])]) ).
fof(f1018,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtasdt0(sdtasdt0(X1,X2),X0),sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| ~ spl1_17
| ~ spl1_79 ),
inference(resolution,[],[f984,f235]) ).
fof(f7627,plain,
( spl1_411
| ~ spl1_16
| ~ spl1_79 ),
inference(avatar_split_clause,[],[f1017,f983,f230,f7625]) ).
fof(f7625,plain,
( spl1_411
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtasdt0(sdtpldt0(X1,X2),X0),sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_411])]) ).
fof(f1017,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtasdt0(sdtpldt0(X1,X2),X0),sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| ~ spl1_16
| ~ spl1_79 ),
inference(resolution,[],[f984,f231]) ).
fof(f7623,plain,
( spl1_410
| ~ spl1_17
| ~ spl1_78 ),
inference(avatar_split_clause,[],[f1010,f979,f234,f7621]) ).
fof(f7621,plain,
( spl1_410
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtasdt0(sdtasdt0(X1,X2),X0))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_410])]) ).
fof(f1010,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtasdt0(sdtasdt0(X1,X2),X0))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| ~ spl1_17
| ~ spl1_78 ),
inference(resolution,[],[f980,f235]) ).
fof(f7619,plain,
( spl1_409
| ~ spl1_16
| ~ spl1_78 ),
inference(avatar_split_clause,[],[f1009,f979,f230,f7617]) ).
fof(f7617,plain,
( spl1_409
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtasdt0(sdtpldt0(X1,X2),X0))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_409])]) ).
fof(f1009,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtasdt0(sdtpldt0(X1,X2),X0))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| ~ spl1_16
| ~ spl1_78 ),
inference(resolution,[],[f980,f231]) ).
fof(f7615,plain,
( spl1_408
| ~ spl1_17
| ~ spl1_77 ),
inference(avatar_split_clause,[],[f1002,f975,f234,f7613]) ).
fof(f7613,plain,
( spl1_408
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtpldt0(sdtasdt0(X1,X2),X0),sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_408])]) ).
fof(f1002,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtpldt0(sdtasdt0(X1,X2),X0),sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| ~ spl1_17
| ~ spl1_77 ),
inference(resolution,[],[f976,f235]) ).
fof(f7611,plain,
( spl1_407
| ~ spl1_16
| ~ spl1_77 ),
inference(avatar_split_clause,[],[f1001,f975,f230,f7609]) ).
fof(f7609,plain,
( spl1_407
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtpldt0(sdtpldt0(X1,X2),X0),sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_407])]) ).
fof(f1001,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtpldt0(sdtpldt0(X1,X2),X0),sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| ~ spl1_16
| ~ spl1_77 ),
inference(resolution,[],[f976,f231]) ).
fof(f7607,plain,
( spl1_406
| ~ spl1_17
| ~ spl1_76 ),
inference(avatar_split_clause,[],[f989,f971,f234,f7605]) ).
fof(f7605,plain,
( spl1_406
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(sdtasdt0(X1,X2),X0))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_406])]) ).
fof(f989,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(sdtasdt0(X1,X2),X0))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| ~ spl1_17
| ~ spl1_76 ),
inference(resolution,[],[f972,f235]) ).
fof(f7603,plain,
( spl1_405
| ~ spl1_16
| ~ spl1_76 ),
inference(avatar_split_clause,[],[f988,f971,f230,f7601]) ).
fof(f7601,plain,
( spl1_405
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(sdtpldt0(X1,X2),X0))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_405])]) ).
fof(f988,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(sdtpldt0(X1,X2),X0))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| ~ spl1_16
| ~ spl1_76 ),
inference(resolution,[],[f972,f231]) ).
fof(f7599,plain,
( spl1_404
| ~ spl1_17
| ~ spl1_73 ),
inference(avatar_split_clause,[],[f946,f897,f234,f7597]) ).
fof(f7597,plain,
( spl1_404
<=> ! [X0,X1] :
( sdtasdt0(sz10,sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(X0,X1),sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_404])]) ).
fof(f946,plain,
( ! [X0,X1] :
( sdtasdt0(sz10,sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(X0,X1),sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl1_17
| ~ spl1_73 ),
inference(resolution,[],[f898,f235]) ).
fof(f7595,plain,
( spl1_403
| ~ spl1_16
| ~ spl1_73 ),
inference(avatar_split_clause,[],[f945,f897,f230,f7593]) ).
fof(f7593,plain,
( spl1_403
<=> ! [X0,X1] :
( sdtasdt0(sz10,sdtpldt0(X0,X1)) = sdtasdt0(sdtpldt0(X0,X1),sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_403])]) ).
fof(f945,plain,
( ! [X0,X1] :
( sdtasdt0(sz10,sdtpldt0(X0,X1)) = sdtasdt0(sdtpldt0(X0,X1),sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl1_16
| ~ spl1_73 ),
inference(resolution,[],[f898,f231]) ).
fof(f7591,plain,
( spl1_402
| ~ spl1_102
| ~ spl1_215 ),
inference(avatar_split_clause,[],[f4011,f3870,f1324,f7588]) ).
fof(f7588,plain,
( spl1_402
<=> sz00 = sdtasdt0(sK0(sdtasdt0(xm,xn),sdtasdt0(xm,xn)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_402])]) ).
fof(f3870,plain,
( spl1_215
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sK0(X0,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_215])]) ).
fof(f4011,plain,
( sz00 = sdtasdt0(sK0(sdtasdt0(xm,xn),sdtasdt0(xm,xn)),sz00)
| ~ spl1_102
| ~ spl1_215 ),
inference(resolution,[],[f3871,f1325]) ).
fof(f3871,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sK0(X0,X0),sz00) )
| ~ spl1_215 ),
inference(avatar_component_clause,[],[f3870]) ).
fof(f7586,plain,
( spl1_401
| ~ spl1_17
| ~ spl1_72 ),
inference(avatar_split_clause,[],[f935,f893,f234,f7584]) ).
fof(f7584,plain,
( spl1_401
<=> ! [X0,X1] :
( sdtasdt0(sz00,sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(X0,X1),sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_401])]) ).
fof(f935,plain,
( ! [X0,X1] :
( sdtasdt0(sz00,sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(X0,X1),sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl1_17
| ~ spl1_72 ),
inference(resolution,[],[f894,f235]) ).
fof(f7582,plain,
( spl1_400
| ~ spl1_16
| ~ spl1_72 ),
inference(avatar_split_clause,[],[f934,f893,f230,f7580]) ).
fof(f7580,plain,
( spl1_400
<=> ! [X0,X1] :
( sdtasdt0(sz00,sdtpldt0(X0,X1)) = sdtasdt0(sdtpldt0(X0,X1),sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_400])]) ).
fof(f934,plain,
( ! [X0,X1] :
( sdtasdt0(sz00,sdtpldt0(X0,X1)) = sdtasdt0(sdtpldt0(X0,X1),sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl1_16
| ~ spl1_72 ),
inference(resolution,[],[f894,f231]) ).
fof(f7578,plain,
( spl1_399
| ~ spl1_17
| ~ spl1_71 ),
inference(avatar_split_clause,[],[f926,f889,f234,f7576]) ).
fof(f7576,plain,
( spl1_399
<=> ! [X0,X1] :
( sdtpldt0(sdtasdt0(X0,X1),sz10) = sdtpldt0(sz10,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_399])]) ).
fof(f926,plain,
( ! [X0,X1] :
( sdtpldt0(sdtasdt0(X0,X1),sz10) = sdtpldt0(sz10,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl1_17
| ~ spl1_71 ),
inference(resolution,[],[f890,f235]) ).
fof(f7574,plain,
( spl1_398
| ~ spl1_16
| ~ spl1_71 ),
inference(avatar_split_clause,[],[f925,f889,f230,f7572]) ).
fof(f7572,plain,
( spl1_398
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sz10) = sdtpldt0(sz10,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_398])]) ).
fof(f925,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sz10) = sdtpldt0(sz10,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl1_16
| ~ spl1_71 ),
inference(resolution,[],[f890,f231]) ).
fof(f7570,plain,
( spl1_397
| ~ spl1_17
| ~ spl1_70 ),
inference(avatar_split_clause,[],[f911,f885,f234,f7568]) ).
fof(f7568,plain,
( spl1_397
<=> ! [X0,X1] :
( sdtpldt0(sz00,sdtasdt0(X0,X1)) = sdtpldt0(sdtasdt0(X0,X1),sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_397])]) ).
fof(f911,plain,
( ! [X0,X1] :
( sdtpldt0(sz00,sdtasdt0(X0,X1)) = sdtpldt0(sdtasdt0(X0,X1),sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl1_17
| ~ spl1_70 ),
inference(resolution,[],[f886,f235]) ).
fof(f7566,plain,
( spl1_396
| ~ spl1_16
| ~ spl1_70 ),
inference(avatar_split_clause,[],[f910,f885,f230,f7564]) ).
fof(f7564,plain,
( spl1_396
<=> ! [X0,X1] :
( sdtpldt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtpldt0(X0,X1),sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_396])]) ).
fof(f910,plain,
( ! [X0,X1] :
( sdtpldt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtpldt0(X0,X1),sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl1_16
| ~ spl1_70 ),
inference(resolution,[],[f886,f231]) ).
fof(f7557,plain,
( spl1_8
| ~ spl1_6
| spl1_395
| ~ spl1_40
| ~ spl1_64 ),
inference(avatar_split_clause,[],[f822,f722,f434,f7555,f164,f173]) ).
fof(f7555,plain,
( spl1_395
<=> ! [X0] :
( sz10 != sdtasdt0(sz10,X0)
| ~ aNaturalNumber0(X0)
| sz10 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_395])]) ).
fof(f822,plain,
( ! [X0] :
( sz10 != sdtasdt0(sz10,X0)
| sz10 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10)
| sz00 = sz10 )
| ~ spl1_40
| ~ spl1_64 ),
inference(duplicate_literal_removal,[],[f807]) ).
fof(f807,plain,
( ! [X0] :
( sz10 != sdtasdt0(sz10,X0)
| sz10 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10)
| sz00 = sz10
| ~ aNaturalNumber0(sz10) )
| ~ spl1_40
| ~ spl1_64 ),
inference(superposition,[],[f435,f724]) ).
fof(f7548,plain,
( spl1_8
| ~ spl1_6
| spl1_394
| ~ spl1_41
| ~ spl1_64 ),
inference(avatar_split_clause,[],[f820,f722,f438,f7546,f164,f173]) ).
fof(f7546,plain,
( spl1_394
<=> ! [X0] :
( sz10 != sdtasdt0(X0,sz10)
| ~ aNaturalNumber0(X0)
| sz10 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_394])]) ).
fof(f820,plain,
( ! [X0] :
( sz10 != sdtasdt0(X0,sz10)
| sz10 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10)
| sz00 = sz10 )
| ~ spl1_41
| ~ spl1_64 ),
inference(duplicate_literal_removal,[],[f809]) ).
fof(f809,plain,
( ! [X0] :
( sz10 != sdtasdt0(X0,sz10)
| sz10 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10)
| sz00 = sz10
| ~ aNaturalNumber0(sz10) )
| ~ spl1_41
| ~ spl1_64 ),
inference(superposition,[],[f439,f724]) ).
fof(f7544,plain,
( spl1_393
| ~ spl1_79
| ~ spl1_102 ),
inference(avatar_split_clause,[],[f1670,f1324,f983,f7542]) ).
fof(f7542,plain,
( spl1_393
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtasdt0(sdtasdt0(xm,xn),X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_393])]) ).
fof(f1670,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtasdt0(sdtasdt0(xm,xn),X0),sz00) )
| ~ spl1_79
| ~ spl1_102 ),
inference(resolution,[],[f1325,f984]) ).
fof(f7499,plain,
( ~ spl1_5
| spl1_392
| ~ spl1_42
| ~ spl1_61 ),
inference(avatar_split_clause,[],[f772,f707,f442,f7497,f159]) ).
fof(f7497,plain,
( spl1_392
<=> ! [X0] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(X0)
| sz00 = X0
| ~ sdtlseqdt0(sz00,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_392])]) ).
fof(f707,plain,
( spl1_61
<=> sz00 = sdtpldt0(sz00,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_61])]) ).
fof(f772,plain,
( ! [X0] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,X0)
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl1_42
| ~ spl1_61 ),
inference(duplicate_literal_removal,[],[f765]) ).
fof(f765,plain,
( ! [X0] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,X0)
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz00) )
| ~ spl1_42
| ~ spl1_61 ),
inference(superposition,[],[f443,f709]) ).
fof(f709,plain,
( sz00 = sdtpldt0(sz00,sz00)
| ~ spl1_61 ),
inference(avatar_component_clause,[],[f707]) ).
fof(f7455,plain,
( ~ spl1_5
| spl1_391
| ~ spl1_42
| ~ spl1_61 ),
inference(avatar_split_clause,[],[f771,f707,f442,f7453,f159]) ).
fof(f7453,plain,
( spl1_391
<=> ! [X0] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(X0)
| sz00 = X0
| ~ sdtlseqdt0(X0,sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_391])]) ).
fof(f771,plain,
( ! [X0] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(X0,sz00)
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl1_42
| ~ spl1_61 ),
inference(duplicate_literal_removal,[],[f766]) ).
fof(f766,plain,
( ! [X0] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(X0,sz00)
| sz00 = X0
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) )
| ~ spl1_42
| ~ spl1_61 ),
inference(superposition,[],[f443,f709]) ).
fof(f7414,plain,
( ~ spl1_5
| spl1_390
| ~ spl1_43
| ~ spl1_61 ),
inference(avatar_split_clause,[],[f770,f707,f446,f7412,f159]) ).
fof(f7412,plain,
( spl1_390
<=> ! [X0] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sz00)
| ~ aNaturalNumber0(X0)
| sz00 = X0
| ~ sdtlseqdt0(X0,sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_390])]) ).
fof(f770,plain,
( ! [X0] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sz00)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(X0,sz00)
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl1_43
| ~ spl1_61 ),
inference(duplicate_literal_removal,[],[f767]) ).
fof(f767,plain,
( ! [X0] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sz00)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(X0,sz00)
| sz00 = X0
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) )
| ~ spl1_43
| ~ spl1_61 ),
inference(superposition,[],[f447,f709]) ).
fof(f7372,plain,
( ~ spl1_5
| spl1_389
| ~ spl1_43
| ~ spl1_61 ),
inference(avatar_split_clause,[],[f769,f707,f446,f7370,f159]) ).
fof(f7370,plain,
( spl1_389
<=> ! [X0] :
( sdtlseqdt0(sz00,sdtpldt0(X0,sz00))
| ~ aNaturalNumber0(X0)
| sz00 = X0
| ~ sdtlseqdt0(sz00,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_389])]) ).
fof(f769,plain,
( ! [X0] :
( sdtlseqdt0(sz00,sdtpldt0(X0,sz00))
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,X0)
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl1_43
| ~ spl1_61 ),
inference(duplicate_literal_removal,[],[f768]) ).
fof(f768,plain,
( ! [X0] :
( sdtlseqdt0(sz00,sdtpldt0(X0,sz00))
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,X0)
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz00) )
| ~ spl1_43
| ~ spl1_61 ),
inference(superposition,[],[f447,f709]) ).
fof(f7331,plain,
( spl1_388
| ~ spl1_78
| ~ spl1_102 ),
inference(avatar_split_clause,[],[f1669,f1324,f979,f7329]) ).
fof(f7329,plain,
( spl1_388
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtasdt0(sdtasdt0(xm,xn),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_388])]) ).
fof(f1669,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtasdt0(sdtasdt0(xm,xn),X0)) )
| ~ spl1_78
| ~ spl1_102 ),
inference(resolution,[],[f1325,f980]) ).
fof(f7190,plain,
( spl1_387
| ~ spl1_77
| ~ spl1_102 ),
inference(avatar_split_clause,[],[f1668,f1324,f975,f7188]) ).
fof(f7188,plain,
( spl1_387
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtpldt0(sdtasdt0(xm,xn),X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_387])]) ).
fof(f1668,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtpldt0(sdtasdt0(xm,xn),X0),sz00) )
| ~ spl1_77
| ~ spl1_102 ),
inference(resolution,[],[f1325,f976]) ).
fof(f7029,plain,
( spl1_386
| ~ spl1_76
| ~ spl1_102 ),
inference(avatar_split_clause,[],[f1667,f1324,f971,f7027]) ).
fof(f1667,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(sdtasdt0(xm,xn),X0)) )
| ~ spl1_76
| ~ spl1_102 ),
inference(resolution,[],[f1325,f972]) ).
fof(f6971,plain,
( spl1_385
| ~ spl1_4
| ~ spl1_130 ),
inference(avatar_split_clause,[],[f1883,f1810,f154,f6969]) ).
fof(f6969,plain,
( spl1_385
<=> ! [X0] :
( sdtasdt0(X0,sdtpldt0(xn,sz10)) = sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(X0,sz10))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_385])]) ).
fof(f1883,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(xn,sz10)) = sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(X0,sz10))
| ~ aNaturalNumber0(X0) )
| ~ spl1_4
| ~ spl1_130 ),
inference(resolution,[],[f1811,f156]) ).
fof(f6967,plain,
( spl1_384
| ~ spl1_3
| ~ spl1_130 ),
inference(avatar_split_clause,[],[f1882,f1810,f149,f6965]) ).
fof(f6965,plain,
( spl1_384
<=> ! [X0] :
( sdtasdt0(X0,sdtpldt0(xm,sz10)) = sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(X0,sz10))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_384])]) ).
fof(f1882,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(xm,sz10)) = sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(X0,sz10))
| ~ aNaturalNumber0(X0) )
| ~ spl1_3
| ~ spl1_130 ),
inference(resolution,[],[f1811,f151]) ).
fof(f6963,plain,
( spl1_383
| ~ spl1_4
| ~ spl1_126 ),
inference(avatar_split_clause,[],[f1860,f1776,f154,f6961]) ).
fof(f6961,plain,
( spl1_383
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtasdt0(X1,xn)) = sdtasdt0(sdtasdt0(X1,xn),X0)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_383])]) ).
fof(f1860,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtasdt0(X1,xn)) = sdtasdt0(sdtasdt0(X1,xn),X0)
| ~ aNaturalNumber0(X1) )
| ~ spl1_4
| ~ spl1_126 ),
inference(resolution,[],[f1777,f156]) ).
fof(f6959,plain,
( spl1_382
| ~ spl1_3
| ~ spl1_126 ),
inference(avatar_split_clause,[],[f1859,f1776,f149,f6957]) ).
fof(f6957,plain,
( spl1_382
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtasdt0(X1,xm)) = sdtasdt0(sdtasdt0(X1,xm),X0)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_382])]) ).
fof(f1859,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtasdt0(X1,xm)) = sdtasdt0(sdtasdt0(X1,xm),X0)
| ~ aNaturalNumber0(X1) )
| ~ spl1_3
| ~ spl1_126 ),
inference(resolution,[],[f1777,f151]) ).
fof(f6955,plain,
( spl1_381
| ~ spl1_71
| ~ spl1_102 ),
inference(avatar_split_clause,[],[f1662,f1324,f889,f6952]) ).
fof(f6952,plain,
( spl1_381
<=> sdtpldt0(sdtasdt0(xm,xn),sz10) = sdtpldt0(sz10,sdtasdt0(xm,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_381])]) ).
fof(f1662,plain,
( sdtpldt0(sdtasdt0(xm,xn),sz10) = sdtpldt0(sz10,sdtasdt0(xm,xn))
| ~ spl1_71
| ~ spl1_102 ),
inference(resolution,[],[f1325,f890]) ).
fof(f6950,plain,
( spl1_380
| ~ spl1_4
| ~ spl1_124 ),
inference(avatar_split_clause,[],[f1851,f1767,f154,f6948]) ).
fof(f6948,plain,
( spl1_380
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtpldt0(X1,xn)) = sdtasdt0(sdtpldt0(X1,xn),X0)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_380])]) ).
fof(f1851,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtpldt0(X1,xn)) = sdtasdt0(sdtpldt0(X1,xn),X0)
| ~ aNaturalNumber0(X1) )
| ~ spl1_4
| ~ spl1_124 ),
inference(resolution,[],[f1768,f156]) ).
fof(f6946,plain,
( spl1_379
| ~ spl1_3
| ~ spl1_124 ),
inference(avatar_split_clause,[],[f1850,f1767,f149,f6944]) ).
fof(f6944,plain,
( spl1_379
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtpldt0(X1,xm)) = sdtasdt0(sdtpldt0(X1,xm),X0)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_379])]) ).
fof(f1850,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtpldt0(X1,xm)) = sdtasdt0(sdtpldt0(X1,xm),X0)
| ~ aNaturalNumber0(X1) )
| ~ spl1_3
| ~ spl1_124 ),
inference(resolution,[],[f1768,f151]) ).
fof(f6942,plain,
( spl1_378
| ~ spl1_4
| ~ spl1_123 ),
inference(avatar_split_clause,[],[f1842,f1763,f154,f6940]) ).
fof(f6940,plain,
( spl1_378
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sdtasdt0(X1,xn)) = sdtpldt0(sdtasdt0(X1,xn),X0)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_378])]) ).
fof(f1842,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sdtasdt0(X1,xn)) = sdtpldt0(sdtasdt0(X1,xn),X0)
| ~ aNaturalNumber0(X1) )
| ~ spl1_4
| ~ spl1_123 ),
inference(resolution,[],[f1764,f156]) ).
fof(f6938,plain,
( spl1_377
| ~ spl1_3
| ~ spl1_123 ),
inference(avatar_split_clause,[],[f1841,f1763,f149,f6936]) ).
fof(f6936,plain,
( spl1_377
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sdtasdt0(X1,xm)) = sdtpldt0(sdtasdt0(X1,xm),X0)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_377])]) ).
fof(f1841,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sdtasdt0(X1,xm)) = sdtpldt0(sdtasdt0(X1,xm),X0)
| ~ aNaturalNumber0(X1) )
| ~ spl1_3
| ~ spl1_123 ),
inference(resolution,[],[f1764,f151]) ).
fof(f6934,plain,
( spl1_376
| ~ spl1_4
| ~ spl1_122 ),
inference(avatar_split_clause,[],[f1828,f1759,f154,f6932]) ).
fof(f6932,plain,
( spl1_376
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sdtpldt0(X1,xn)) = sdtpldt0(sdtpldt0(X1,xn),X0)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_376])]) ).
fof(f1828,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sdtpldt0(X1,xn)) = sdtpldt0(sdtpldt0(X1,xn),X0)
| ~ aNaturalNumber0(X1) )
| ~ spl1_4
| ~ spl1_122 ),
inference(resolution,[],[f1760,f156]) ).
fof(f6930,plain,
( spl1_375
| ~ spl1_3
| ~ spl1_122 ),
inference(avatar_split_clause,[],[f1827,f1759,f149,f6928]) ).
fof(f6928,plain,
( spl1_375
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sdtpldt0(X1,xm)) = sdtpldt0(sdtpldt0(X1,xm),X0)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_375])]) ).
fof(f1827,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sdtpldt0(X1,xm)) = sdtpldt0(sdtpldt0(X1,xm),X0)
| ~ aNaturalNumber0(X1) )
| ~ spl1_3
| ~ spl1_122 ),
inference(resolution,[],[f1760,f151]) ).
fof(f6926,plain,
( spl1_374
| ~ spl1_3
| ~ spl1_4
| ~ spl1_67
| ~ spl1_121 ),
inference(avatar_split_clause,[],[f1757,f1707,f834,f154,f149,f6924]) ).
fof(f6924,plain,
( spl1_374
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,xn),xm) = sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(xm,xn))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_374])]) ).
fof(f1707,plain,
( spl1_121
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,xn),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(xn,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_121])]) ).
fof(f1757,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,xn),xm) = sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(xm,xn))
| ~ aNaturalNumber0(X0) )
| ~ spl1_3
| ~ spl1_4
| ~ spl1_67
| ~ spl1_121 ),
inference(forward_demodulation,[],[f1752,f870]) ).
fof(f870,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xm,xn)
| ~ spl1_4
| ~ spl1_67 ),
inference(resolution,[],[f835,f156]) ).
fof(f1752,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtpldt0(X0,xn),xm) = sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(xn,xm)) )
| ~ spl1_3
| ~ spl1_121 ),
inference(resolution,[],[f1708,f151]) ).
fof(f1708,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtpldt0(X0,xn),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(xn,X1)) )
| ~ spl1_121 ),
inference(avatar_component_clause,[],[f1707]) ).
fof(f6922,plain,
( spl1_373
| ~ spl1_4
| ~ spl1_121 ),
inference(avatar_split_clause,[],[f1753,f1707,f154,f6920]) ).
fof(f6920,plain,
( spl1_373
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtpldt0(X0,xn),xn) = sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(xn,xn)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_373])]) ).
fof(f1753,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtpldt0(X0,xn),xn) = sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(xn,xn)) )
| ~ spl1_4
| ~ spl1_121 ),
inference(resolution,[],[f1708,f156]) ).
fof(f6918,plain,
( spl1_372
| ~ spl1_4
| ~ spl1_120 ),
inference(avatar_split_clause,[],[f1742,f1703,f154,f6916]) ).
fof(f6916,plain,
( spl1_372
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtpldt0(X0,xm),xn) = sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(xm,xn)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_372])]) ).
fof(f1703,plain,
( spl1_120
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,xm),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(xm,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_120])]) ).
fof(f1742,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtpldt0(X0,xm),xn) = sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(xm,xn)) )
| ~ spl1_4
| ~ spl1_120 ),
inference(resolution,[],[f1704,f156]) ).
fof(f1704,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtpldt0(X0,xm),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(xm,X1)) )
| ~ spl1_120 ),
inference(avatar_component_clause,[],[f1703]) ).
fof(f6914,plain,
( spl1_371
| ~ spl1_3
| ~ spl1_120 ),
inference(avatar_split_clause,[],[f1741,f1703,f149,f6912]) ).
fof(f6912,plain,
( spl1_371
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtpldt0(X0,xm),xm) = sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(xm,xm)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_371])]) ).
fof(f1741,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtpldt0(X0,xm),xm) = sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(xm,xm)) )
| ~ spl1_3
| ~ spl1_120 ),
inference(resolution,[],[f1704,f151]) ).
fof(f6909,plain,
( spl1_370
| ~ spl1_68
| ~ spl1_102 ),
inference(avatar_split_clause,[],[f1660,f1324,f838,f6906]) ).
fof(f1660,plain,
( sdtasdt0(sdtasdt0(xm,xn),xn) = sdtasdt0(xn,sdtasdt0(xm,xn))
| ~ spl1_68
| ~ spl1_102 ),
inference(resolution,[],[f1325,f839]) ).
fof(f6904,plain,
( spl1_369
| ~ spl1_6
| ~ spl1_66
| ~ spl1_119 ),
inference(avatar_split_clause,[],[f1733,f1699,f830,f164,f6902]) ).
fof(f1699,plain,
( spl1_119
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xn)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xn))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_119])]) ).
fof(f1733,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,xn)) = sdtasdt0(X0,sdtpldt0(xn,sz10))
| ~ aNaturalNumber0(X0) )
| ~ spl1_6
| ~ spl1_66
| ~ spl1_119 ),
inference(forward_demodulation,[],[f1724,f856]) ).
fof(f856,plain,
( sdtpldt0(xn,sz10) = sdtpldt0(sz10,xn)
| ~ spl1_6
| ~ spl1_66 ),
inference(resolution,[],[f831,f166]) ).
fof(f1724,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sz10,xn)) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,xn))
| ~ aNaturalNumber0(X0) )
| ~ spl1_6
| ~ spl1_119 ),
inference(resolution,[],[f1700,f166]) ).
fof(f1700,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| sdtasdt0(X0,sdtpldt0(X1,xn)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xn))
| ~ aNaturalNumber0(X0) )
| ~ spl1_119 ),
inference(avatar_component_clause,[],[f1699]) ).
fof(f6900,plain,
( spl1_368
| ~ spl1_4
| ~ spl1_119 ),
inference(avatar_split_clause,[],[f1730,f1699,f154,f6898]) ).
fof(f6898,plain,
( spl1_368
<=> ! [X0] :
( sdtasdt0(X0,sdtpldt0(xn,xn)) = sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(X0,xn))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_368])]) ).
fof(f1730,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(xn,xn)) = sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(X0,xn))
| ~ aNaturalNumber0(X0) )
| ~ spl1_4
| ~ spl1_119 ),
inference(resolution,[],[f1700,f156]) ).
fof(f6896,plain,
( spl1_367
| ~ spl1_3
| ~ spl1_119 ),
inference(avatar_split_clause,[],[f1729,f1699,f149,f6894]) ).
fof(f6894,plain,
( spl1_367
<=> ! [X0] :
( sdtasdt0(X0,sdtpldt0(xm,xn)) = sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(X0,xn))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_367])]) ).
fof(f1729,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(xm,xn)) = sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(X0,xn))
| ~ aNaturalNumber0(X0) )
| ~ spl1_3
| ~ spl1_119 ),
inference(resolution,[],[f1700,f151]) ).
fof(f6892,plain,
( spl1_366
| ~ spl1_4
| ~ spl1_97
| ~ spl1_118 ),
inference(avatar_split_clause,[],[f1722,f1642,f1213,f154,f6890]) ).
fof(f6890,plain,
( spl1_366
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(X0,xm)) = sdtasdt0(X0,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_366])]) ).
fof(f1213,plain,
( spl1_97
<=> sdtpldt0(xn,xm) = sdtpldt0(xm,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_97])]) ).
fof(f1642,plain,
( spl1_118
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xm)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xm))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_118])]) ).
fof(f1722,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(X0,xm)) = sdtasdt0(X0,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(X0) )
| ~ spl1_4
| ~ spl1_97
| ~ spl1_118 ),
inference(forward_demodulation,[],[f1717,f1215]) ).
fof(f1215,plain,
( sdtpldt0(xn,xm) = sdtpldt0(xm,xn)
| ~ spl1_97 ),
inference(avatar_component_clause,[],[f1213]) ).
fof(f1717,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(xn,xm)) = sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(X0,xm))
| ~ aNaturalNumber0(X0) )
| ~ spl1_4
| ~ spl1_118 ),
inference(resolution,[],[f1643,f156]) ).
fof(f1643,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| sdtasdt0(X0,sdtpldt0(X1,xm)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xm))
| ~ aNaturalNumber0(X0) )
| ~ spl1_118 ),
inference(avatar_component_clause,[],[f1642]) ).
fof(f6888,plain,
( spl1_365
| ~ spl1_6
| ~ spl1_90
| ~ spl1_118 ),
inference(avatar_split_clause,[],[f1720,f1642,f1128,f164,f6886]) ).
fof(f1128,plain,
( spl1_90
<=> sdtpldt0(sz10,xm) = sdtpldt0(xm,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_90])]) ).
fof(f1720,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,xm)) = sdtasdt0(X0,sdtpldt0(xm,sz10))
| ~ aNaturalNumber0(X0) )
| ~ spl1_6
| ~ spl1_90
| ~ spl1_118 ),
inference(forward_demodulation,[],[f1711,f1130]) ).
fof(f1130,plain,
( sdtpldt0(sz10,xm) = sdtpldt0(xm,sz10)
| ~ spl1_90 ),
inference(avatar_component_clause,[],[f1128]) ).
fof(f1711,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sz10,xm)) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,xm))
| ~ aNaturalNumber0(X0) )
| ~ spl1_6
| ~ spl1_118 ),
inference(resolution,[],[f1643,f166]) ).
fof(f6884,plain,
( spl1_364
| ~ spl1_3
| ~ spl1_118 ),
inference(avatar_split_clause,[],[f1716,f1642,f149,f6882]) ).
fof(f1716,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(xm,xm)) = sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(X0,xm))
| ~ aNaturalNumber0(X0) )
| ~ spl1_3
| ~ spl1_118 ),
inference(resolution,[],[f1643,f151]) ).
fof(f6880,plain,
( spl1_363
| ~ spl1_17
| ~ spl1_68 ),
inference(avatar_split_clause,[],[f877,f838,f234,f6878]) ).
fof(f6878,plain,
( spl1_363
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xn) = sdtasdt0(xn,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_363])]) ).
fof(f877,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xn) = sdtasdt0(xn,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl1_17
| ~ spl1_68 ),
inference(resolution,[],[f839,f235]) ).
fof(f6876,plain,
( spl1_362
| ~ spl1_16
| ~ spl1_68 ),
inference(avatar_split_clause,[],[f876,f838,f230,f6874]) ).
fof(f6874,plain,
( spl1_362
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xn) = sdtasdt0(xn,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_362])]) ).
fof(f876,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xn) = sdtasdt0(xn,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl1_16
| ~ spl1_68 ),
inference(resolution,[],[f839,f231]) ).
fof(f6872,plain,
( spl1_361
| ~ spl1_17
| ~ spl1_67 ),
inference(avatar_split_clause,[],[f867,f834,f234,f6870]) ).
fof(f6870,plain,
( spl1_361
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xm) = sdtasdt0(xm,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_361])]) ).
fof(f867,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xm) = sdtasdt0(xm,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl1_17
| ~ spl1_67 ),
inference(resolution,[],[f835,f235]) ).
fof(f6868,plain,
( spl1_360
| ~ spl1_16
| ~ spl1_67 ),
inference(avatar_split_clause,[],[f866,f834,f230,f6866]) ).
fof(f6866,plain,
( spl1_360
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xm) = sdtasdt0(xm,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_360])]) ).
fof(f866,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xm) = sdtasdt0(xm,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl1_16
| ~ spl1_67 ),
inference(resolution,[],[f835,f231]) ).
fof(f6864,plain,
( spl1_359
| ~ spl1_67
| ~ spl1_102 ),
inference(avatar_split_clause,[],[f1659,f1324,f834,f6861]) ).
fof(f6861,plain,
( spl1_359
<=> sdtasdt0(sdtasdt0(xm,xn),xm) = sdtasdt0(xm,sdtasdt0(xm,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_359])]) ).
fof(f6859,plain,
( spl1_358
| ~ spl1_17
| ~ spl1_66 ),
inference(avatar_split_clause,[],[f858,f830,f234,f6857]) ).
fof(f6857,plain,
( spl1_358
<=> ! [X0,X1] :
( sdtpldt0(xn,sdtasdt0(X0,X1)) = sdtpldt0(sdtasdt0(X0,X1),xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_358])]) ).
fof(f858,plain,
( ! [X0,X1] :
( sdtpldt0(xn,sdtasdt0(X0,X1)) = sdtpldt0(sdtasdt0(X0,X1),xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl1_17
| ~ spl1_66 ),
inference(resolution,[],[f831,f235]) ).
fof(f6855,plain,
( spl1_357
| ~ spl1_16
| ~ spl1_66 ),
inference(avatar_split_clause,[],[f857,f830,f230,f6853]) ).
fof(f6853,plain,
( spl1_357
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xn) = sdtpldt0(xn,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_357])]) ).
fof(f857,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xn) = sdtpldt0(xn,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl1_16
| ~ spl1_66 ),
inference(resolution,[],[f831,f231]) ).
fof(f6851,plain,
( spl1_356
| ~ spl1_17
| ~ spl1_65 ),
inference(avatar_split_clause,[],[f844,f826,f234,f6849]) ).
fof(f6849,plain,
( spl1_356
<=> ! [X0,X1] :
( sdtpldt0(sdtasdt0(X0,X1),xm) = sdtpldt0(xm,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_356])]) ).
fof(f844,plain,
( ! [X0,X1] :
( sdtpldt0(sdtasdt0(X0,X1),xm) = sdtpldt0(xm,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl1_17
| ~ spl1_65 ),
inference(resolution,[],[f827,f235]) ).
fof(f6847,plain,
( spl1_355
| ~ spl1_16
| ~ spl1_65 ),
inference(avatar_split_clause,[],[f843,f826,f230,f6845]) ).
fof(f6845,plain,
( spl1_355
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xm) = sdtpldt0(xm,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_355])]) ).
fof(f843,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xm) = sdtpldt0(xm,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl1_16
| ~ spl1_65 ),
inference(resolution,[],[f827,f231]) ).
fof(f6495,plain,
( spl1_354
| ~ spl1_19
| ~ spl1_94 ),
inference(avatar_split_clause,[],[f1231,f1153,f255,f6493]) ).
fof(f6493,plain,
( spl1_354
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = sdtasdt0(sz00,sdtmndt0(X0,X1))
| sdtlseqdt0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_354])]) ).
fof(f1231,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = sdtasdt0(sz00,sdtmndt0(X0,X1))
| sdtlseqdt0(X0,X1) )
| ~ spl1_19
| ~ spl1_94 ),
inference(duplicate_literal_removal,[],[f1218]) ).
fof(f1218,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = sdtasdt0(sz00,sdtmndt0(X0,X1))
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl1_19
| ~ spl1_94 ),
inference(resolution,[],[f1154,f256]) ).
fof(f6491,plain,
( spl1_353
| ~ spl1_19
| ~ spl1_93 ),
inference(avatar_split_clause,[],[f1210,f1149,f255,f6489]) ).
fof(f6489,plain,
( spl1_353
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = sdtasdt0(sdtmndt0(X0,X1),sz00)
| sdtlseqdt0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_353])]) ).
fof(f1210,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = sdtasdt0(sdtmndt0(X0,X1),sz00)
| sdtlseqdt0(X0,X1) )
| ~ spl1_19
| ~ spl1_93 ),
inference(duplicate_literal_removal,[],[f1197]) ).
fof(f1197,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = sdtasdt0(sdtmndt0(X0,X1),sz00)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl1_19
| ~ spl1_93 ),
inference(resolution,[],[f1150,f256]) ).
fof(f6486,plain,
( spl1_352
| ~ spl1_66
| ~ spl1_102 ),
inference(avatar_split_clause,[],[f1658,f1324,f830,f6483]) ).
fof(f1658,plain,
( sdtpldt0(xn,sdtasdt0(xm,xn)) = sdtpldt0(sdtasdt0(xm,xn),xn)
| ~ spl1_66
| ~ spl1_102 ),
inference(resolution,[],[f1325,f831]) ).
fof(f6481,plain,
( spl1_351
| ~ spl1_19
| ~ spl1_92 ),
inference(avatar_split_clause,[],[f1194,f1145,f255,f6479]) ).
fof(f6479,plain,
( spl1_351
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = sdtasdt0(sz00,sK0(X1,X0))
| sdtlseqdt0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_351])]) ).
fof(f1194,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = sdtasdt0(sz00,sK0(X1,X0))
| sdtlseqdt0(X0,X1) )
| ~ spl1_19
| ~ spl1_92 ),
inference(duplicate_literal_removal,[],[f1181]) ).
fof(f1181,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = sdtasdt0(sz00,sK0(X1,X0))
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl1_19
| ~ spl1_92 ),
inference(resolution,[],[f1146,f256]) ).
fof(f6477,plain,
( spl1_350
| ~ spl1_19
| ~ spl1_91 ),
inference(avatar_split_clause,[],[f1178,f1141,f255,f6475]) ).
fof(f6475,plain,
( spl1_350
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = sdtasdt0(sK0(X1,X0),sz00)
| sdtlseqdt0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_350])]) ).
fof(f1178,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = sdtasdt0(sK0(X1,X0),sz00)
| sdtlseqdt0(X0,X1) )
| ~ spl1_19
| ~ spl1_91 ),
inference(duplicate_literal_removal,[],[f1165]) ).
fof(f1165,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = sdtasdt0(sK0(X1,X0),sz00)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl1_19
| ~ spl1_91 ),
inference(resolution,[],[f1142,f256]) ).
fof(f6472,plain,
( ~ spl1_6
| ~ spl1_5
| spl1_349
| ~ spl1_36
| ~ spl1_63 ),
inference(avatar_split_clause,[],[f798,f717,f397,f6470,f159,f164]) ).
fof(f6470,plain,
( spl1_349
<=> ! [X0] :
( sz10 != sdtpldt0(X0,sz10)
| ~ aNaturalNumber0(X0)
| sz00 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_349])]) ).
fof(f397,plain,
( spl1_36
<=> ! [X2,X0,X1] :
( X1 = X2
| sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_36])]) ).
fof(f798,plain,
( ! [X0] :
( sz10 != sdtpldt0(X0,sz10)
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz10) )
| ~ spl1_36
| ~ spl1_63 ),
inference(superposition,[],[f398,f719]) ).
fof(f398,plain,
( ! [X2,X0,X1] :
( sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
| X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl1_36 ),
inference(avatar_component_clause,[],[f397]) ).
fof(f6459,plain,
( ~ spl1_5
| ~ spl1_6
| spl1_348
| ~ spl1_35
| ~ spl1_63 ),
inference(avatar_split_clause,[],[f796,f717,f393,f6457,f164,f159]) ).
fof(f6457,plain,
( spl1_348
<=> ! [X0] :
( sz10 != sdtpldt0(sz00,X0)
| ~ aNaturalNumber0(X0)
| sz10 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_348])]) ).
fof(f393,plain,
( spl1_35
<=> ! [X2,X0,X1] :
( X1 = X2
| sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_35])]) ).
fof(f796,plain,
( ! [X0] :
( sz10 != sdtpldt0(sz00,X0)
| sz10 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00) )
| ~ spl1_35
| ~ spl1_63 ),
inference(superposition,[],[f394,f719]) ).
fof(f394,plain,
( ! [X2,X0,X1] :
( sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
| X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl1_35 ),
inference(avatar_component_clause,[],[f393]) ).
fof(f6450,plain,
( ~ spl1_5
| ~ spl1_6
| spl1_347
| ~ spl1_36
| ~ spl1_62 ),
inference(avatar_split_clause,[],[f785,f712,f397,f6448,f164,f159]) ).
fof(f6448,plain,
( spl1_347
<=> ! [X0] :
( sz10 != sdtpldt0(X0,sz00)
| ~ aNaturalNumber0(X0)
| sz10 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_347])]) ).
fof(f785,plain,
( ! [X0] :
( sz10 != sdtpldt0(X0,sz00)
| sz10 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00) )
| ~ spl1_36
| ~ spl1_62 ),
inference(superposition,[],[f398,f714]) ).
fof(f6435,plain,
( ~ spl1_6
| ~ spl1_5
| spl1_346
| ~ spl1_35
| ~ spl1_62 ),
inference(avatar_split_clause,[],[f783,f712,f393,f6433,f159,f164]) ).
fof(f6433,plain,
( spl1_346
<=> ! [X0] :
( sz10 != sdtpldt0(sz10,X0)
| ~ aNaturalNumber0(X0)
| sz00 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_346])]) ).
fof(f783,plain,
( ! [X0] :
( sz10 != sdtpldt0(sz10,X0)
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz10) )
| ~ spl1_35
| ~ spl1_62 ),
inference(superposition,[],[f394,f714]) ).
fof(f6430,plain,
( spl1_345
| ~ spl1_65
| ~ spl1_102 ),
inference(avatar_split_clause,[],[f1657,f1324,f826,f6427]) ).
fof(f1657,plain,
( sdtpldt0(sdtasdt0(xm,xn),xm) = sdtpldt0(xm,sdtasdt0(xm,xn))
| ~ spl1_65
| ~ spl1_102 ),
inference(resolution,[],[f1325,f827]) ).
fof(f6423,plain,
( ~ spl1_4
| ~ spl1_5
| spl1_344
| ~ spl1_36
| ~ spl1_52 ),
inference(avatar_split_clause,[],[f639,f529,f397,f6421,f159,f154]) ).
fof(f6421,plain,
( spl1_344
<=> ! [X0] :
( xn != sdtpldt0(X0,xn)
| ~ aNaturalNumber0(X0)
| sz00 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_344])]) ).
fof(f639,plain,
( ! [X0] :
( xn != sdtpldt0(X0,xn)
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) )
| ~ spl1_36
| ~ spl1_52 ),
inference(superposition,[],[f398,f531]) ).
fof(f6411,plain,
( ~ spl1_5
| ~ spl1_4
| spl1_343
| ~ spl1_35
| ~ spl1_52 ),
inference(avatar_split_clause,[],[f637,f529,f393,f6409,f154,f159]) ).
fof(f6409,plain,
( spl1_343
<=> ! [X0] :
( sdtpldt0(sz00,X0) != xn
| ~ aNaturalNumber0(X0)
| xn = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_343])]) ).
fof(f637,plain,
( ! [X0] :
( sdtpldt0(sz00,X0) != xn
| xn = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz00) )
| ~ spl1_35
| ~ spl1_52 ),
inference(superposition,[],[f394,f531]) ).
fof(f6404,plain,
( ~ spl1_3
| ~ spl1_5
| spl1_342
| ~ spl1_36
| ~ spl1_51 ),
inference(avatar_split_clause,[],[f626,f524,f397,f6402,f159,f149]) ).
fof(f6402,plain,
( spl1_342
<=> ! [X0] :
( xm != sdtpldt0(X0,xm)
| ~ aNaturalNumber0(X0)
| sz00 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_342])]) ).
fof(f626,plain,
( ! [X0] :
( xm != sdtpldt0(X0,xm)
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) )
| ~ spl1_36
| ~ spl1_51 ),
inference(superposition,[],[f398,f526]) ).
fof(f6392,plain,
( ~ spl1_5
| ~ spl1_3
| spl1_341
| ~ spl1_35
| ~ spl1_51 ),
inference(avatar_split_clause,[],[f624,f524,f393,f6390,f149,f159]) ).
fof(f6390,plain,
( spl1_341
<=> ! [X0] :
( sdtpldt0(sz00,X0) != xm
| ~ aNaturalNumber0(X0)
| xm = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_341])]) ).
fof(f624,plain,
( ! [X0] :
( sdtpldt0(sz00,X0) != xm
| xm = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00) )
| ~ spl1_35
| ~ spl1_51 ),
inference(superposition,[],[f394,f526]) ).
fof(f6383,plain,
( ~ spl1_5
| ~ spl1_4
| spl1_340
| ~ spl1_36
| ~ spl1_48 ),
inference(avatar_split_clause,[],[f613,f503,f397,f6381,f154,f159]) ).
fof(f6381,plain,
( spl1_340
<=> ! [X0] :
( sdtpldt0(X0,sz00) != xn
| ~ aNaturalNumber0(X0)
| xn = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_340])]) ).
fof(f613,plain,
( ! [X0] :
( sdtpldt0(X0,sz00) != xn
| xn = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz00) )
| ~ spl1_36
| ~ spl1_48 ),
inference(superposition,[],[f398,f505]) ).
fof(f6354,plain,
( ~ spl1_4
| ~ spl1_5
| spl1_339
| ~ spl1_35
| ~ spl1_48 ),
inference(avatar_split_clause,[],[f611,f503,f393,f6352,f159,f154]) ).
fof(f6352,plain,
( spl1_339
<=> ! [X0] :
( xn != sdtpldt0(xn,X0)
| ~ aNaturalNumber0(X0)
| sz00 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_339])]) ).
fof(f611,plain,
( ! [X0] :
( xn != sdtpldt0(xn,X0)
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) )
| ~ spl1_35
| ~ spl1_48 ),
inference(superposition,[],[f394,f505]) ).
fof(f6345,plain,
( ~ spl1_5
| ~ spl1_3
| spl1_338
| ~ spl1_36
| ~ spl1_44 ),
inference(avatar_split_clause,[],[f599,f450,f397,f6343,f149,f159]) ).
fof(f6343,plain,
( spl1_338
<=> ! [X0] :
( sdtpldt0(X0,sz00) != xm
| ~ aNaturalNumber0(X0)
| xm = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_338])]) ).
fof(f599,plain,
( ! [X0] :
( sdtpldt0(X0,sz00) != xm
| xm = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00) )
| ~ spl1_36
| ~ spl1_44 ),
inference(superposition,[],[f398,f452]) ).
fof(f6335,plain,
( ~ spl1_3
| ~ spl1_5
| spl1_337
| ~ spl1_35
| ~ spl1_44 ),
inference(avatar_split_clause,[],[f597,f450,f393,f6333,f159,f149]) ).
fof(f6333,plain,
( spl1_337
<=> ! [X0] :
( xm != sdtpldt0(xm,X0)
| ~ aNaturalNumber0(X0)
| sz00 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_337])]) ).
fof(f597,plain,
( ! [X0] :
( xm != sdtpldt0(xm,X0)
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) )
| ~ spl1_35
| ~ spl1_44 ),
inference(superposition,[],[f394,f452]) ).
fof(f6171,plain,
( spl1_336
| ~ spl1_6
| ~ spl1_64
| ~ spl1_132 ),
inference(avatar_split_clause,[],[f1911,f1818,f722,f164,f6169]) ).
fof(f6169,plain,
( spl1_336
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz10),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sz10)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_336])]) ).
fof(f1818,plain,
( spl1_132
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,sz10),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sz10,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_132])]) ).
fof(f1911,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz10),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sz10)
| ~ aNaturalNumber0(X0) )
| ~ spl1_6
| ~ spl1_64
| ~ spl1_132 ),
inference(forward_demodulation,[],[f1902,f724]) ).
fof(f1902,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtpldt0(X0,sz10),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(sz10,sz10)) )
| ~ spl1_6
| ~ spl1_132 ),
inference(resolution,[],[f1819,f166]) ).
fof(f1819,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtpldt0(X0,sz10),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sz10,X1)) )
| ~ spl1_132 ),
inference(avatar_component_clause,[],[f1818]) ).
fof(f6167,plain,
( spl1_335
| ~ spl1_5
| ~ spl1_59
| ~ spl1_132 ),
inference(avatar_split_clause,[],[f1910,f1818,f697,f159,f6165]) ).
fof(f6165,plain,
( spl1_335
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,sz00),sz00) = sdtasdt0(sdtpldt0(X0,sz10),sz00)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_335])]) ).
fof(f1910,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sz00),sz00) = sdtasdt0(sdtpldt0(X0,sz10),sz00)
| ~ aNaturalNumber0(X0) )
| ~ spl1_5
| ~ spl1_59
| ~ spl1_132 ),
inference(forward_demodulation,[],[f1901,f699]) ).
fof(f1901,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtpldt0(X0,sz10),sz00) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(sz10,sz00)) )
| ~ spl1_5
| ~ spl1_132 ),
inference(resolution,[],[f1819,f161]) ).
fof(f6163,plain,
( spl1_334
| ~ spl1_6
| ~ spl1_60
| ~ spl1_131 ),
inference(avatar_split_clause,[],[f1897,f1814,f702,f164,f6161]) ).
fof(f6161,plain,
( spl1_334
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz00),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sz00)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_334])]) ).
fof(f1814,plain,
( spl1_131
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,sz00),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sz00,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_131])]) ).
fof(f1897,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz00),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sz00)
| ~ aNaturalNumber0(X0) )
| ~ spl1_6
| ~ spl1_60
| ~ spl1_131 ),
inference(forward_demodulation,[],[f1888,f704]) ).
fof(f1888,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtpldt0(X0,sz00),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(sz00,sz10)) )
| ~ spl1_6
| ~ spl1_131 ),
inference(resolution,[],[f1815,f166]) ).
fof(f1815,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtpldt0(X0,sz00),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sz00,X1)) )
| ~ spl1_131 ),
inference(avatar_component_clause,[],[f1814]) ).
fof(f6159,plain,
( spl1_333
| ~ spl1_5
| ~ spl1_58
| ~ spl1_131 ),
inference(avatar_split_clause,[],[f1896,f1814,f692,f159,f6157]) ).
fof(f6157,plain,
( spl1_333
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,sz00),sz00) = sdtasdt0(sdtpldt0(X0,sz00),sz00)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_333])]) ).
fof(f692,plain,
( spl1_58
<=> sz00 = sdtasdt0(sz00,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_58])]) ).
fof(f1896,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sz00),sz00) = sdtasdt0(sdtpldt0(X0,sz00),sz00)
| ~ aNaturalNumber0(X0) )
| ~ spl1_5
| ~ spl1_58
| ~ spl1_131 ),
inference(forward_demodulation,[],[f1887,f694]) ).
fof(f694,plain,
( sz00 = sdtasdt0(sz00,sz00)
| ~ spl1_58 ),
inference(avatar_component_clause,[],[f692]) ).
fof(f1887,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtpldt0(X0,sz00),sz00) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(sz00,sz00)) )
| ~ spl1_5
| ~ spl1_131 ),
inference(resolution,[],[f1815,f161]) ).
fof(f6155,plain,
( spl1_332
| ~ spl1_5
| ~ spl1_63
| ~ spl1_130 ),
inference(avatar_split_clause,[],[f1885,f1810,f717,f159,f6153]) ).
fof(f6153,plain,
( spl1_332
<=> ! [X0] :
( sdtasdt0(X0,sz10) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,sz10))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_332])]) ).
fof(f1885,plain,
( ! [X0] :
( sdtasdt0(X0,sz10) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,sz10))
| ~ aNaturalNumber0(X0) )
| ~ spl1_5
| ~ spl1_63
| ~ spl1_130 ),
inference(forward_demodulation,[],[f1876,f719]) ).
fof(f1876,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sz00,sz10)) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,sz10))
| ~ aNaturalNumber0(X0) )
| ~ spl1_5
| ~ spl1_130 ),
inference(resolution,[],[f1811,f161]) ).
fof(f6151,plain,
( spl1_331
| ~ spl1_6
| ~ spl1_62
| ~ spl1_129 ),
inference(avatar_split_clause,[],[f1872,f1806,f712,f164,f6149]) ).
fof(f6149,plain,
( spl1_331
<=> ! [X0] :
( sdtasdt0(X0,sz10) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,sz00))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_331])]) ).
fof(f1806,plain,
( spl1_129
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sz00)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz00))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_129])]) ).
fof(f1872,plain,
( ! [X0] :
( sdtasdt0(X0,sz10) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,sz00))
| ~ aNaturalNumber0(X0) )
| ~ spl1_6
| ~ spl1_62
| ~ spl1_129 ),
inference(forward_demodulation,[],[f1863,f714]) ).
fof(f1863,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sz10,sz00)) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,sz00))
| ~ aNaturalNumber0(X0) )
| ~ spl1_6
| ~ spl1_129 ),
inference(resolution,[],[f1807,f166]) ).
fof(f1807,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| sdtasdt0(X0,sdtpldt0(X1,sz00)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz00))
| ~ aNaturalNumber0(X0) )
| ~ spl1_129 ),
inference(avatar_component_clause,[],[f1806]) ).
fof(f6128,plain,
( spl1_330
| ~ spl1_5
| ~ spl1_61
| ~ spl1_129 ),
inference(avatar_split_clause,[],[f1871,f1806,f707,f159,f6126]) ).
fof(f6126,plain,
( spl1_330
<=> ! [X0] :
( sdtasdt0(X0,sz00) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,sz00))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_330])]) ).
fof(f1871,plain,
( ! [X0] :
( sdtasdt0(X0,sz00) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,sz00))
| ~ aNaturalNumber0(X0) )
| ~ spl1_5
| ~ spl1_61
| ~ spl1_129 ),
inference(forward_demodulation,[],[f1862,f709]) ).
fof(f1862,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sz00,sz00)) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,sz00))
| ~ aNaturalNumber0(X0) )
| ~ spl1_5
| ~ spl1_129 ),
inference(resolution,[],[f1807,f161]) ).
fof(f6124,plain,
( spl1_329
| ~ spl1_6
| ~ spl1_106 ),
inference(avatar_split_clause,[],[f1399,f1351,f164,f6122]) ).
fof(f6122,plain,
( spl1_329
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sz10),sz10) = sdtpldt0(X0,sdtpldt0(sz10,sz10))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_329])]) ).
fof(f1351,plain,
( spl1_106
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sz10) = sdtpldt0(X0,sdtpldt0(X1,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_106])]) ).
fof(f1399,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sz10),sz10) = sdtpldt0(X0,sdtpldt0(sz10,sz10))
| ~ aNaturalNumber0(X0) )
| ~ spl1_6
| ~ spl1_106 ),
inference(resolution,[],[f1352,f166]) ).
fof(f1352,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| sdtpldt0(sdtpldt0(X0,X1),sz10) = sdtpldt0(X0,sdtpldt0(X1,sz10))
| ~ aNaturalNumber0(X0) )
| ~ spl1_106 ),
inference(avatar_component_clause,[],[f1351]) ).
fof(f5812,plain,
( spl1_328
| ~ spl1_18
| ~ spl1_67
| ~ spl1_102
| ~ spl1_181
| ~ spl1_301
| ~ spl1_317 ),
inference(avatar_split_clause,[],[f5782,f5332,f5220,f3235,f1324,f834,f250,f5809]) ).
fof(f5782,plain,
( xn = sdtasdt0(xn,sdtasdt0(xm,xm))
| ~ spl1_18
| ~ spl1_67
| ~ spl1_102
| ~ spl1_181
| ~ spl1_301
| ~ spl1_317 ),
inference(forward_demodulation,[],[f5781,f5512]) ).
fof(f5781,plain,
( sdtasdt0(xm,xn) = sdtasdt0(xn,sdtasdt0(xm,xm))
| ~ spl1_18
| ~ spl1_67
| ~ spl1_102
| ~ spl1_181
| ~ spl1_301
| ~ spl1_317 ),
inference(forward_demodulation,[],[f5780,f5512]) ).
fof(f5780,plain,
( sdtasdt0(xm,sdtasdt0(xm,xn)) = sdtasdt0(xn,sdtasdt0(xm,xm))
| ~ spl1_18
| ~ spl1_67
| ~ spl1_102
| ~ spl1_181
| ~ spl1_301
| ~ spl1_317 ),
inference(forward_demodulation,[],[f5779,f1659]) ).
fof(f5779,plain,
( sdtasdt0(sdtasdt0(xm,xn),xm) = sdtasdt0(xn,sdtasdt0(xm,xm))
| ~ spl1_18
| ~ spl1_102
| ~ spl1_181
| ~ spl1_301
| ~ spl1_317 ),
inference(forward_demodulation,[],[f5778,f3237]) ).
fof(f5778,plain,
( sdtasdt0(sdtasdt0(xn,xm),xm) = sdtasdt0(xn,sdtasdt0(xm,xm))
| ~ spl1_18
| ~ spl1_102
| ~ spl1_301
| ~ spl1_317 ),
inference(forward_demodulation,[],[f5770,f5512]) ).
fof(f5770,plain,
( sdtasdt0(sdtasdt0(sdtasdt0(xm,xn),xm),xm) = sdtasdt0(sdtasdt0(xm,xn),sdtasdt0(xm,xm))
| ~ spl1_102
| ~ spl1_301 ),
inference(resolution,[],[f5221,f1325]) ).
fof(f5643,plain,
( spl1_327
| ~ spl1_4
| ~ spl1_56
| ~ spl1_132 ),
inference(avatar_split_clause,[],[f1914,f1818,f549,f154,f5641]) ).
fof(f1914,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz10),xn) = sdtpldt0(sdtasdt0(X0,xn),xn)
| ~ aNaturalNumber0(X0) )
| ~ spl1_4
| ~ spl1_56
| ~ spl1_132 ),
inference(forward_demodulation,[],[f1908,f551]) ).
fof(f1908,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtpldt0(X0,sz10),xn) = sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(sz10,xn)) )
| ~ spl1_4
| ~ spl1_132 ),
inference(resolution,[],[f1819,f156]) ).
fof(f5639,plain,
( spl1_326
| ~ spl1_3
| ~ spl1_55
| ~ spl1_132 ),
inference(avatar_split_clause,[],[f1913,f1818,f544,f149,f5637]) ).
fof(f1913,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz10),xm) = sdtpldt0(sdtasdt0(X0,xm),xm)
| ~ aNaturalNumber0(X0) )
| ~ spl1_3
| ~ spl1_55
| ~ spl1_132 ),
inference(forward_demodulation,[],[f1907,f546]) ).
fof(f1907,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtpldt0(X0,sz10),xm) = sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(sz10,xm)) )
| ~ spl1_3
| ~ spl1_132 ),
inference(resolution,[],[f1819,f151]) ).
fof(f5582,plain,
( spl1_325
| ~ spl1_4
| ~ spl1_37
| ~ spl1_131 ),
inference(avatar_split_clause,[],[f1900,f1814,f401,f154,f5580]) ).
fof(f5580,plain,
( spl1_325
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz00),xn) = sdtpldt0(sdtasdt0(X0,xn),sz00)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_325])]) ).
fof(f1900,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz00),xn) = sdtpldt0(sdtasdt0(X0,xn),sz00)
| ~ aNaturalNumber0(X0) )
| ~ spl1_4
| ~ spl1_37
| ~ spl1_131 ),
inference(forward_demodulation,[],[f1894,f403]) ).
fof(f1894,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtpldt0(X0,sz00),xn) = sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(sz00,xn)) )
| ~ spl1_4
| ~ spl1_131 ),
inference(resolution,[],[f1815,f156]) ).
fof(f5577,plain,
( spl1_324
| ~ spl1_3
| ~ spl1_30
| ~ spl1_131 ),
inference(avatar_split_clause,[],[f1899,f1814,f342,f149,f5575]) ).
fof(f1899,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz00),xm) = sdtpldt0(sdtasdt0(X0,xm),sz00)
| ~ aNaturalNumber0(X0) )
| ~ spl1_3
| ~ spl1_30
| ~ spl1_131 ),
inference(forward_demodulation,[],[f1893,f344]) ).
fof(f1893,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtpldt0(X0,sz00),xm) = sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(sz00,xm)) )
| ~ spl1_3
| ~ spl1_131 ),
inference(resolution,[],[f1815,f151]) ).
fof(f5572,plain,
( spl1_323
| ~ spl1_4
| ~ spl1_48
| ~ spl1_129 ),
inference(avatar_split_clause,[],[f1875,f1806,f503,f154,f5570]) ).
fof(f1875,plain,
( ! [X0] :
( sdtasdt0(X0,xn) = sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(X0,sz00))
| ~ aNaturalNumber0(X0) )
| ~ spl1_4
| ~ spl1_48
| ~ spl1_129 ),
inference(forward_demodulation,[],[f1869,f505]) ).
fof(f1869,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(xn,sz00)) = sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(X0,sz00))
| ~ aNaturalNumber0(X0) )
| ~ spl1_4
| ~ spl1_129 ),
inference(resolution,[],[f1807,f156]) ).
fof(f5567,plain,
( spl1_322
| ~ spl1_3
| ~ spl1_44
| ~ spl1_129 ),
inference(avatar_split_clause,[],[f1874,f1806,f450,f149,f5565]) ).
fof(f1874,plain,
( ! [X0] :
( sdtasdt0(X0,xm) = sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(X0,sz00))
| ~ aNaturalNumber0(X0) )
| ~ spl1_3
| ~ spl1_44
| ~ spl1_129 ),
inference(forward_demodulation,[],[f1868,f452]) ).
fof(f1868,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(xm,sz00)) = sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(X0,sz00))
| ~ aNaturalNumber0(X0) )
| ~ spl1_3
| ~ spl1_129 ),
inference(resolution,[],[f1807,f151]) ).
fof(f5503,plain,
( spl1_321
| spl1_316
| spl1_317
| ~ spl1_4
| ~ spl1_128 ),
inference(avatar_split_clause,[],[f1803,f1793,f154,f5332,f5328,f5500]) ).
fof(f5500,plain,
( spl1_321
<=> xn = sdtpldt0(sz10,sdtmndt0(xn,sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_321])]) ).
fof(f5328,plain,
( spl1_316
<=> sz10 = xn ),
introduced(avatar_definition,[new_symbols(naming,[spl1_316])]) ).
fof(f1793,plain,
( spl1_128
<=> ! [X0] :
( sdtpldt0(sz10,sdtmndt0(X0,sz10)) = X0
| sz00 = X0
| sz10 = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_128])]) ).
fof(f1803,plain,
( sz00 = xn
| sz10 = xn
| xn = sdtpldt0(sz10,sdtmndt0(xn,sz10))
| ~ spl1_4
| ~ spl1_128 ),
inference(resolution,[],[f1794,f156]) ).
fof(f1794,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = X0
| sz10 = X0
| sdtpldt0(sz10,sdtmndt0(X0,sz10)) = X0 )
| ~ spl1_128 ),
inference(avatar_component_clause,[],[f1793]) ).
fof(f5458,plain,
( spl1_57
| ~ spl1_56
| ~ spl1_158
| ~ spl1_314 ),
inference(avatar_split_clause,[],[f5319,f5291,f2396,f549,f677]) ).
fof(f2396,plain,
( spl1_158
<=> sdtasdt0(xm,xn) = sdtasdt0(sdtasdt0(xm,xn),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_158])]) ).
fof(f5319,plain,
( xn = sdtasdt0(xn,xm)
| ~ spl1_56
| ~ spl1_158
| ~ spl1_314 ),
inference(forward_demodulation,[],[f5309,f5301]) ).
fof(f5301,plain,
( xn = sdtasdt0(xm,xn)
| ~ spl1_56
| ~ spl1_314 ),
inference(superposition,[],[f551,f5293]) ).
fof(f5293,plain,
( sz10 = xm
| ~ spl1_314 ),
inference(avatar_component_clause,[],[f5291]) ).
fof(f5309,plain,
( sdtasdt0(xm,xn) = sdtasdt0(sdtasdt0(xm,xn),xm)
| ~ spl1_158
| ~ spl1_314 ),
inference(superposition,[],[f2398,f5293]) ).
fof(f2398,plain,
( sdtasdt0(xm,xn) = sdtasdt0(sdtasdt0(xm,xn),sz10)
| ~ spl1_158 ),
inference(avatar_component_clause,[],[f2396]) ).
fof(f5431,plain,
( spl1_320
| spl1_314
| spl1_1
| ~ spl1_3
| ~ spl1_128 ),
inference(avatar_split_clause,[],[f1802,f1793,f149,f139,f5291,f5428]) ).
fof(f5428,plain,
( spl1_320
<=> xm = sdtpldt0(sz10,sdtmndt0(xm,sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_320])]) ).
fof(f1802,plain,
( sz00 = xm
| sz10 = xm
| xm = sdtpldt0(sz10,sdtmndt0(xm,sz10))
| ~ spl1_3
| ~ spl1_128 ),
inference(resolution,[],[f1794,f151]) ).
fof(f5386,plain,
( spl1_319
| ~ spl1_314
| ~ spl1_315 ),
inference(avatar_split_clause,[],[f5337,f5324,f5291,f5383]) ).
fof(f5383,plain,
( spl1_319
<=> xn = sdtpldt0(xm,sK0(xm,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_319])]) ).
fof(f5324,plain,
( spl1_315
<=> xn = sdtpldt0(sz10,sK0(sz10,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_315])]) ).
fof(f5337,plain,
( xn = sdtpldt0(xm,sK0(xm,xn))
| ~ spl1_314
| ~ spl1_315 ),
inference(forward_demodulation,[],[f5326,f5293]) ).
fof(f5326,plain,
( xn = sdtpldt0(sz10,sK0(sz10,xn))
| ~ spl1_315 ),
inference(avatar_component_clause,[],[f5324]) ).
fof(f5381,plain,
( ~ spl1_318
| ~ spl1_314
| spl1_316 ),
inference(avatar_split_clause,[],[f5336,f5328,f5291,f5378]) ).
fof(f5378,plain,
( spl1_318
<=> xm = xn ),
introduced(avatar_definition,[new_symbols(naming,[spl1_318])]) ).
fof(f5336,plain,
( xm != xn
| ~ spl1_314
| spl1_316 ),
inference(forward_demodulation,[],[f5329,f5293]) ).
fof(f5329,plain,
( sz10 != xn
| spl1_316 ),
inference(avatar_component_clause,[],[f5328]) ).
fof(f5335,plain,
( spl1_315
| spl1_316
| spl1_317
| ~ spl1_4
| ~ spl1_127 ),
inference(avatar_split_clause,[],[f1790,f1780,f154,f5332,f5328,f5324]) ).
fof(f1780,plain,
( spl1_127
<=> ! [X0] :
( sdtpldt0(sz10,sK0(sz10,X0)) = X0
| sz00 = X0
| sz10 = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_127])]) ).
fof(f1790,plain,
( sz00 = xn
| sz10 = xn
| xn = sdtpldt0(sz10,sK0(sz10,xn))
| ~ spl1_4
| ~ spl1_127 ),
inference(resolution,[],[f1781,f156]) ).
fof(f1781,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = X0
| sz10 = X0
| sdtpldt0(sz10,sK0(sz10,X0)) = X0 )
| ~ spl1_127 ),
inference(avatar_component_clause,[],[f1780]) ).
fof(f5321,plain,
( ~ spl1_182
| spl1_313
| ~ spl1_314 ),
inference(avatar_split_clause,[],[f5295,f5291,f5287,f3240]) ).
fof(f3240,plain,
( spl1_182
<=> xm = sdtpldt0(xm,sK0(xm,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_182])]) ).
fof(f5287,plain,
( spl1_313
<=> xm = sdtpldt0(sz10,sK0(sz10,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_313])]) ).
fof(f5295,plain,
( xm != sdtpldt0(xm,sK0(xm,xm))
| spl1_313
| ~ spl1_314 ),
inference(forward_demodulation,[],[f5288,f5293]) ).
fof(f5288,plain,
( xm != sdtpldt0(sz10,sK0(sz10,xm))
| spl1_313 ),
inference(avatar_component_clause,[],[f5287]) ).
fof(f5294,plain,
( spl1_313
| spl1_314
| spl1_1
| ~ spl1_3
| ~ spl1_127 ),
inference(avatar_split_clause,[],[f1789,f1780,f149,f139,f5291,f5287]) ).
fof(f1789,plain,
( sz00 = xm
| sz10 = xm
| xm = sdtpldt0(sz10,sK0(sz10,xm))
| ~ spl1_3
| ~ spl1_127 ),
inference(resolution,[],[f1781,f151]) ).
fof(f5285,plain,
( spl1_312
| ~ spl1_6
| ~ spl1_54
| ~ spl1_121 ),
inference(avatar_split_clause,[],[f1756,f1707,f539,f164,f5283]) ).
fof(f5283,plain,
( spl1_312
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,xn),sz10) = sdtpldt0(sdtasdt0(X0,sz10),xn)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_312])]) ).
fof(f1756,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,xn),sz10) = sdtpldt0(sdtasdt0(X0,sz10),xn)
| ~ aNaturalNumber0(X0) )
| ~ spl1_6
| ~ spl1_54
| ~ spl1_121 ),
inference(forward_demodulation,[],[f1747,f541]) ).
fof(f1747,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtpldt0(X0,xn),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(xn,sz10)) )
| ~ spl1_6
| ~ spl1_121 ),
inference(resolution,[],[f1708,f166]) ).
fof(f5281,plain,
( spl1_311
| ~ spl1_5
| ~ spl1_25
| ~ spl1_121 ),
inference(avatar_split_clause,[],[f1755,f1707,f295,f159,f5279]) ).
fof(f5279,plain,
( spl1_311
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,sz00),sz00) = sdtasdt0(sdtpldt0(X0,xn),sz00)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_311])]) ).
fof(f1755,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sz00),sz00) = sdtasdt0(sdtpldt0(X0,xn),sz00)
| ~ aNaturalNumber0(X0) )
| ~ spl1_5
| ~ spl1_25
| ~ spl1_121 ),
inference(forward_demodulation,[],[f1746,f297]) ).
fof(f1746,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtpldt0(X0,xn),sz00) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(xn,sz00)) )
| ~ spl1_5
| ~ spl1_121 ),
inference(resolution,[],[f1708,f161]) ).
fof(f5277,plain,
( spl1_310
| ~ spl1_6
| ~ spl1_53
| ~ spl1_120 ),
inference(avatar_split_clause,[],[f1745,f1703,f534,f164,f5275]) ).
fof(f5275,plain,
( spl1_310
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,xm),sz10) = sdtpldt0(sdtasdt0(X0,sz10),xm)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_310])]) ).
fof(f1745,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,xm),sz10) = sdtpldt0(sdtasdt0(X0,sz10),xm)
| ~ aNaturalNumber0(X0) )
| ~ spl1_6
| ~ spl1_53
| ~ spl1_120 ),
inference(forward_demodulation,[],[f1736,f536]) ).
fof(f1736,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtpldt0(X0,xm),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(xm,sz10)) )
| ~ spl1_6
| ~ spl1_120 ),
inference(resolution,[],[f1704,f166]) ).
fof(f5273,plain,
( spl1_309
| ~ spl1_5
| ~ spl1_18
| ~ spl1_120 ),
inference(avatar_split_clause,[],[f1744,f1703,f250,f159,f5271]) ).
fof(f5271,plain,
( spl1_309
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,xm),sz00) = sdtpldt0(sdtasdt0(X0,sz00),sz00)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_309])]) ).
fof(f1744,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,xm),sz00) = sdtpldt0(sdtasdt0(X0,sz00),sz00)
| ~ aNaturalNumber0(X0) )
| ~ spl1_5
| ~ spl1_18
| ~ spl1_120 ),
inference(forward_demodulation,[],[f1735,f252]) ).
fof(f1735,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtpldt0(X0,xm),sz00) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(xm,sz00)) )
| ~ spl1_5
| ~ spl1_120 ),
inference(resolution,[],[f1704,f161]) ).
fof(f5269,plain,
( spl1_308
| ~ spl1_5
| ~ spl1_52
| ~ spl1_119 ),
inference(avatar_split_clause,[],[f1732,f1699,f529,f159,f5267]) ).
fof(f5267,plain,
( spl1_308
<=> ! [X0] :
( sdtasdt0(X0,xn) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,xn))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_308])]) ).
fof(f1732,plain,
( ! [X0] :
( sdtasdt0(X0,xn) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,xn))
| ~ aNaturalNumber0(X0) )
| ~ spl1_5
| ~ spl1_52
| ~ spl1_119 ),
inference(forward_demodulation,[],[f1723,f531]) ).
fof(f1723,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sz00,xn)) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,xn))
| ~ aNaturalNumber0(X0) )
| ~ spl1_5
| ~ spl1_119 ),
inference(resolution,[],[f1700,f161]) ).
fof(f5246,plain,
( spl1_307
| ~ spl1_5
| ~ spl1_51
| ~ spl1_118 ),
inference(avatar_split_clause,[],[f1719,f1642,f524,f159,f5244]) ).
fof(f5244,plain,
( spl1_307
<=> ! [X0] :
( sdtasdt0(X0,xm) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,xm))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_307])]) ).
fof(f1719,plain,
( ! [X0] :
( sdtasdt0(X0,xm) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,xm))
| ~ aNaturalNumber0(X0) )
| ~ spl1_5
| ~ spl1_51
| ~ spl1_118 ),
inference(forward_demodulation,[],[f1710,f526]) ).
fof(f1710,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sz00,xm)) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,xm))
| ~ aNaturalNumber0(X0) )
| ~ spl1_5
| ~ spl1_118 ),
inference(resolution,[],[f1643,f161]) ).
fof(f5242,plain,
( spl1_306
| ~ spl1_4
| ~ spl1_106 ),
inference(avatar_split_clause,[],[f1404,f1351,f154,f5240]) ).
fof(f5240,plain,
( spl1_306
<=> ! [X0] :
( sdtpldt0(X0,sdtpldt0(xn,sz10)) = sdtpldt0(sdtpldt0(X0,xn),sz10)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_306])]) ).
fof(f1404,plain,
( ! [X0] :
( sdtpldt0(X0,sdtpldt0(xn,sz10)) = sdtpldt0(sdtpldt0(X0,xn),sz10)
| ~ aNaturalNumber0(X0) )
| ~ spl1_4
| ~ spl1_106 ),
inference(resolution,[],[f1352,f156]) ).
fof(f5238,plain,
( spl1_305
| ~ spl1_3
| ~ spl1_106 ),
inference(avatar_split_clause,[],[f1403,f1351,f149,f5236]) ).
fof(f5236,plain,
( spl1_305
<=> ! [X0] :
( sdtpldt0(X0,sdtpldt0(xm,sz10)) = sdtpldt0(sdtpldt0(X0,xm),sz10)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_305])]) ).
fof(f1403,plain,
( ! [X0] :
( sdtpldt0(X0,sdtpldt0(xm,sz10)) = sdtpldt0(sdtpldt0(X0,xm),sz10)
| ~ aNaturalNumber0(X0) )
| ~ spl1_3
| ~ spl1_106 ),
inference(resolution,[],[f1352,f151]) ).
fof(f5234,plain,
( spl1_304
| ~ spl1_4
| ~ spl1_101 ),
inference(avatar_split_clause,[],[f1338,f1288,f154,f5232]) ).
fof(f1338,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,xn),xn) = sdtasdt0(X0,sdtasdt0(xn,xn))
| ~ aNaturalNumber0(X0) )
| ~ spl1_4
| ~ spl1_101 ),
inference(resolution,[],[f1289,f156]) ).
fof(f5230,plain,
( spl1_303
| ~ spl1_3
| ~ spl1_101 ),
inference(avatar_split_clause,[],[f1337,f1288,f149,f5228]) ).
fof(f5228,plain,
( spl1_303
<=> ! [X0] :
( sdtasdt0(X0,sdtasdt0(xm,xn)) = sdtasdt0(sdtasdt0(X0,xm),xn)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_303])]) ).
fof(f1337,plain,
( ! [X0] :
( sdtasdt0(X0,sdtasdt0(xm,xn)) = sdtasdt0(sdtasdt0(X0,xm),xn)
| ~ aNaturalNumber0(X0) )
| ~ spl1_3
| ~ spl1_101 ),
inference(resolution,[],[f1289,f151]) ).
fof(f5226,plain,
( spl1_302
| ~ spl1_4
| ~ spl1_67
| ~ spl1_100 ),
inference(avatar_split_clause,[],[f1322,f1284,f834,f154,f5224]) ).
fof(f1322,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,xn),xm) = sdtasdt0(X0,sdtasdt0(xm,xn))
| ~ aNaturalNumber0(X0) )
| ~ spl1_4
| ~ spl1_67
| ~ spl1_100 ),
inference(forward_demodulation,[],[f1318,f870]) ).
fof(f1318,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,xn),xm) = sdtasdt0(X0,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(X0) )
| ~ spl1_4
| ~ spl1_100 ),
inference(resolution,[],[f1285,f156]) ).
fof(f5222,plain,
( spl1_301
| ~ spl1_3
| ~ spl1_100 ),
inference(avatar_split_clause,[],[f1317,f1284,f149,f5220]) ).
fof(f1317,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,xm),xm) = sdtasdt0(X0,sdtasdt0(xm,xm))
| ~ aNaturalNumber0(X0) )
| ~ spl1_3
| ~ spl1_100 ),
inference(resolution,[],[f1285,f151]) ).
fof(f5218,plain,
( spl1_300
| ~ spl1_6
| ~ spl1_66
| ~ spl1_99 ),
inference(avatar_split_clause,[],[f1311,f1280,f830,f164,f5216]) ).
fof(f5216,plain,
( spl1_300
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sz10),xn) = sdtpldt0(X0,sdtpldt0(xn,sz10))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_300])]) ).
fof(f1311,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sz10),xn) = sdtpldt0(X0,sdtpldt0(xn,sz10))
| ~ aNaturalNumber0(X0) )
| ~ spl1_6
| ~ spl1_66
| ~ spl1_99 ),
inference(forward_demodulation,[],[f1303,f856]) ).
fof(f1303,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sz10),xn) = sdtpldt0(X0,sdtpldt0(sz10,xn))
| ~ aNaturalNumber0(X0) )
| ~ spl1_6
| ~ spl1_99 ),
inference(resolution,[],[f1281,f166]) ).
fof(f5214,plain,
( spl1_299
| ~ spl1_4
| ~ spl1_99 ),
inference(avatar_split_clause,[],[f1308,f1280,f154,f5212]) ).
fof(f5212,plain,
( spl1_299
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,xn),xn) = sdtpldt0(X0,sdtpldt0(xn,xn))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_299])]) ).
fof(f1308,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,xn),xn) = sdtpldt0(X0,sdtpldt0(xn,xn))
| ~ aNaturalNumber0(X0) )
| ~ spl1_4
| ~ spl1_99 ),
inference(resolution,[],[f1281,f156]) ).
fof(f5210,plain,
( spl1_298
| ~ spl1_3
| ~ spl1_99 ),
inference(avatar_split_clause,[],[f1307,f1280,f149,f5208]) ).
fof(f5208,plain,
( spl1_298
<=> ! [X0] :
( sdtpldt0(X0,sdtpldt0(xm,xn)) = sdtpldt0(sdtpldt0(X0,xm),xn)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_298])]) ).
fof(f1307,plain,
( ! [X0] :
( sdtpldt0(X0,sdtpldt0(xm,xn)) = sdtpldt0(sdtpldt0(X0,xm),xn)
| ~ aNaturalNumber0(X0) )
| ~ spl1_3
| ~ spl1_99 ),
inference(resolution,[],[f1281,f151]) ).
fof(f5187,plain,
( spl1_297
| ~ spl1_4
| ~ spl1_97
| ~ spl1_98 ),
inference(avatar_split_clause,[],[f1301,f1276,f1213,f154,f5185]) ).
fof(f5185,plain,
( spl1_297
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,xn),xm) = sdtpldt0(X0,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_297])]) ).
fof(f1301,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,xn),xm) = sdtpldt0(X0,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(X0) )
| ~ spl1_4
| ~ spl1_97
| ~ spl1_98 ),
inference(forward_demodulation,[],[f1297,f1215]) ).
fof(f1297,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,xn),xm) = sdtpldt0(X0,sdtpldt0(xn,xm))
| ~ aNaturalNumber0(X0) )
| ~ spl1_4
| ~ spl1_98 ),
inference(resolution,[],[f1277,f156]) ).
fof(f5183,plain,
( spl1_296
| ~ spl1_6
| ~ spl1_90
| ~ spl1_98 ),
inference(avatar_split_clause,[],[f1300,f1276,f1128,f164,f5181]) ).
fof(f5181,plain,
( spl1_296
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sz10),xm) = sdtpldt0(X0,sdtpldt0(xm,sz10))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_296])]) ).
fof(f1300,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sz10),xm) = sdtpldt0(X0,sdtpldt0(xm,sz10))
| ~ aNaturalNumber0(X0) )
| ~ spl1_6
| ~ spl1_90
| ~ spl1_98 ),
inference(forward_demodulation,[],[f1292,f1130]) ).
fof(f1292,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sz10),xm) = sdtpldt0(X0,sdtpldt0(sz10,xm))
| ~ aNaturalNumber0(X0) )
| ~ spl1_6
| ~ spl1_98 ),
inference(resolution,[],[f1277,f166]) ).
fof(f5179,plain,
( spl1_295
| ~ spl1_3
| ~ spl1_98 ),
inference(avatar_split_clause,[],[f1296,f1276,f149,f5177]) ).
fof(f5177,plain,
( spl1_295
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,xm),xm) = sdtpldt0(X0,sdtpldt0(xm,xm))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_295])]) ).
fof(f1296,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,xm),xm) = sdtpldt0(X0,sdtpldt0(xm,xm))
| ~ aNaturalNumber0(X0) )
| ~ spl1_3
| ~ spl1_98 ),
inference(resolution,[],[f1277,f151]) ).
fof(f5164,plain,
( ~ spl1_5
| ~ spl1_6
| spl1_294
| ~ spl1_63
| ~ spl1_136 ),
inference(avatar_split_clause,[],[f1996,f1946,f717,f5162,f164,f159]) ).
fof(f5162,plain,
( spl1_294
<=> ! [X0] :
( sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_294])]) ).
fof(f1946,plain,
( spl1_136
<=> ! [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,[spl1_136])]) ).
fof(f1996,plain,
( ! [X0] :
( sdtlseqdt0(X0,sz10)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) )
| ~ spl1_63
| ~ spl1_136 ),
inference(duplicate_literal_removal,[],[f1991]) ).
fof(f1991,plain,
( ! [X0] :
( sdtlseqdt0(X0,sz10)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10) )
| ~ spl1_63
| ~ spl1_136 ),
inference(superposition,[],[f1947,f719]) ).
fof(f1947,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(X0,sdtpldt0(X1,X2))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2) )
| ~ spl1_136 ),
inference(avatar_component_clause,[],[f1946]) ).
fof(f4701,plain,
( ~ spl1_5
| spl1_293
| ~ spl1_6
| ~ spl1_63
| ~ spl1_138 ),
inference(avatar_split_clause,[],[f2053,f2024,f717,f164,f4698,f159]) ).
fof(f4698,plain,
( spl1_293
<=> sz10 = sdtpldt0(sz00,sdtmndt0(sz10,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_293])]) ).
fof(f2053,plain,
( ~ aNaturalNumber0(sz10)
| sz10 = sdtpldt0(sz00,sdtmndt0(sz10,sz00))
| ~ aNaturalNumber0(sz00)
| ~ spl1_63
| ~ spl1_138 ),
inference(duplicate_literal_removal,[],[f2048]) ).
fof(f2048,plain,
( ~ aNaturalNumber0(sz10)
| sz10 = sdtpldt0(sz00,sdtmndt0(sz10,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz10)
| ~ spl1_63
| ~ spl1_138 ),
inference(superposition,[],[f2025,f719]) ).
fof(f4676,plain,
( ~ spl1_5
| spl1_292
| ~ spl1_6
| ~ spl1_63
| ~ spl1_137 ),
inference(avatar_split_clause,[],[f2037,f2020,f717,f164,f4673,f159]) ).
fof(f4673,plain,
( spl1_292
<=> sz10 = sdtpldt0(sz00,sK0(sz00,sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_292])]) ).
fof(f2037,plain,
( ~ aNaturalNumber0(sz10)
| sz10 = sdtpldt0(sz00,sK0(sz00,sz10))
| ~ aNaturalNumber0(sz00)
| ~ spl1_63
| ~ spl1_137 ),
inference(duplicate_literal_removal,[],[f2032]) ).
fof(f2032,plain,
( ~ aNaturalNumber0(sz10)
| sz10 = sdtpldt0(sz00,sK0(sz00,sz10))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz10)
| ~ spl1_63
| ~ spl1_137 ),
inference(superposition,[],[f2021,f719]) ).
fof(f4671,plain,
( spl1_291
| ~ spl1_102
| ~ spl1_209 ),
inference(avatar_split_clause,[],[f3943,f3845,f1324,f4668]) ).
fof(f4668,plain,
( spl1_291
<=> sz00 = sdtasdt0(sdtpldt0(sz10,sdtasdt0(xm,xn)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_291])]) ).
fof(f3943,plain,
( sz00 = sdtasdt0(sdtpldt0(sz10,sdtasdt0(xm,xn)),sz00)
| ~ spl1_102
| ~ spl1_209 ),
inference(resolution,[],[f3846,f1325]) ).
fof(f4666,plain,
( spl1_290
| ~ spl1_9
| ~ spl1_117 ),
inference(avatar_split_clause,[],[f1640,f1478,f178,f4664]) ).
fof(f4664,plain,
( spl1_290
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtmndt0(X0,X0) = sdtasdt0(sz10,sdtmndt0(X0,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_290])]) ).
fof(f1640,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtmndt0(X0,X0) = sdtasdt0(sz10,sdtmndt0(X0,X0)) )
| ~ spl1_9
| ~ spl1_117 ),
inference(duplicate_literal_removal,[],[f1621]) ).
fof(f1621,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X0)
| sdtmndt0(X0,X0) = sdtasdt0(sz10,sdtmndt0(X0,X0))
| ~ aNaturalNumber0(X0) )
| ~ spl1_9
| ~ spl1_117 ),
inference(resolution,[],[f1479,f179]) ).
fof(f4662,plain,
( spl1_289
| ~ spl1_9
| ~ spl1_116 ),
inference(avatar_split_clause,[],[f1620,f1473,f178,f4660]) ).
fof(f4660,plain,
( spl1_289
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtmndt0(X0,X0) = sdtasdt0(sdtmndt0(X0,X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_289])]) ).
fof(f1620,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtmndt0(X0,X0) = sdtasdt0(sdtmndt0(X0,X0),sz10) )
| ~ spl1_9
| ~ spl1_116 ),
inference(duplicate_literal_removal,[],[f1601]) ).
fof(f1601,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X0)
| sdtmndt0(X0,X0) = sdtasdt0(sdtmndt0(X0,X0),sz10)
| ~ aNaturalNumber0(X0) )
| ~ spl1_9
| ~ spl1_116 ),
inference(resolution,[],[f1474,f179]) ).
fof(f4658,plain,
( spl1_288
| ~ spl1_9
| ~ spl1_115 ),
inference(avatar_split_clause,[],[f1600,f1469,f178,f4656]) ).
fof(f4656,plain,
( spl1_288
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtmndt0(X0,X0) = sdtpldt0(sz00,sdtmndt0(X0,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_288])]) ).
fof(f1600,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtmndt0(X0,X0) = sdtpldt0(sz00,sdtmndt0(X0,X0)) )
| ~ spl1_9
| ~ spl1_115 ),
inference(duplicate_literal_removal,[],[f1581]) ).
fof(f1581,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X0)
| sdtmndt0(X0,X0) = sdtpldt0(sz00,sdtmndt0(X0,X0))
| ~ aNaturalNumber0(X0) )
| ~ spl1_9
| ~ spl1_115 ),
inference(resolution,[],[f1470,f179]) ).
fof(f4654,plain,
( spl1_287
| ~ spl1_9
| ~ spl1_114 ),
inference(avatar_split_clause,[],[f1580,f1465,f178,f4652]) ).
fof(f4652,plain,
( spl1_287
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtmndt0(X0,X0) = sdtpldt0(sdtmndt0(X0,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_287])]) ).
fof(f1580,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtmndt0(X0,X0) = sdtpldt0(sdtmndt0(X0,X0),sz00) )
| ~ spl1_9
| ~ spl1_114 ),
inference(duplicate_literal_removal,[],[f1561]) ).
fof(f1561,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X0)
| sdtmndt0(X0,X0) = sdtpldt0(sdtmndt0(X0,X0),sz00)
| ~ aNaturalNumber0(X0) )
| ~ spl1_9
| ~ spl1_114 ),
inference(resolution,[],[f1466,f179]) ).
fof(f4650,plain,
( spl1_286
| ~ spl1_9
| ~ spl1_113 ),
inference(avatar_split_clause,[],[f1560,f1461,f178,f4648]) ).
fof(f4648,plain,
( spl1_286
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sK0(X0,X0) = sdtasdt0(sz10,sK0(X0,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_286])]) ).
fof(f1560,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sK0(X0,X0) = sdtasdt0(sz10,sK0(X0,X0)) )
| ~ spl1_9
| ~ spl1_113 ),
inference(duplicate_literal_removal,[],[f1541]) ).
fof(f1541,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X0)
| sK0(X0,X0) = sdtasdt0(sz10,sK0(X0,X0))
| ~ aNaturalNumber0(X0) )
| ~ spl1_9
| ~ spl1_113 ),
inference(resolution,[],[f1462,f179]) ).
fof(f4646,plain,
( spl1_285
| ~ spl1_9
| ~ spl1_112 ),
inference(avatar_split_clause,[],[f1540,f1457,f178,f4644]) ).
fof(f4644,plain,
( spl1_285
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sK0(X0,X0) = sdtasdt0(sK0(X0,X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_285])]) ).
fof(f1540,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sK0(X0,X0) = sdtasdt0(sK0(X0,X0),sz10) )
| ~ spl1_9
| ~ spl1_112 ),
inference(duplicate_literal_removal,[],[f1521]) ).
fof(f1521,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X0)
| sK0(X0,X0) = sdtasdt0(sK0(X0,X0),sz10)
| ~ aNaturalNumber0(X0) )
| ~ spl1_9
| ~ spl1_112 ),
inference(resolution,[],[f1458,f179]) ).
fof(f4642,plain,
( spl1_284
| ~ spl1_9
| ~ spl1_111 ),
inference(avatar_split_clause,[],[f1520,f1453,f178,f4640]) ).
fof(f4640,plain,
( spl1_284
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sK0(X0,X0) = sdtpldt0(sz00,sK0(X0,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_284])]) ).
fof(f1520,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sK0(X0,X0) = sdtpldt0(sz00,sK0(X0,X0)) )
| ~ spl1_9
| ~ spl1_111 ),
inference(duplicate_literal_removal,[],[f1501]) ).
fof(f1501,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X0)
| sK0(X0,X0) = sdtpldt0(sz00,sK0(X0,X0))
| ~ aNaturalNumber0(X0) )
| ~ spl1_9
| ~ spl1_111 ),
inference(resolution,[],[f1454,f179]) ).
fof(f4638,plain,
( spl1_283
| ~ spl1_9
| ~ spl1_110 ),
inference(avatar_split_clause,[],[f1500,f1449,f178,f4636]) ).
fof(f4636,plain,
( spl1_283
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sK0(X0,X0) = sdtpldt0(sK0(X0,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_283])]) ).
fof(f1500,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sK0(X0,X0) = sdtpldt0(sK0(X0,X0),sz00) )
| ~ spl1_9
| ~ spl1_110 ),
inference(duplicate_literal_removal,[],[f1481]) ).
fof(f1481,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X0)
| sK0(X0,X0) = sdtpldt0(sK0(X0,X0),sz00)
| ~ aNaturalNumber0(X0) )
| ~ spl1_9
| ~ spl1_110 ),
inference(resolution,[],[f1450,f179]) ).
fof(f4634,plain,
( spl1_282
| ~ spl1_16
| ~ spl1_109 ),
inference(avatar_split_clause,[],[f1447,f1363,f230,f4632]) ).
fof(f4632,plain,
( spl1_282
<=> ! [X0,X1] :
( sdtmndt0(sdtpldt0(X0,X1),X0) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_282])]) ).
fof(f1363,plain,
( spl1_109
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtmndt0(sdtpldt0(X1,X0),X1) = X0
| ~ aNaturalNumber0(sdtpldt0(X1,X0))
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_109])]) ).
fof(f1447,plain,
( ! [X0,X1] :
( sdtmndt0(sdtpldt0(X0,X1),X0) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl1_16
| ~ spl1_109 ),
inference(duplicate_literal_removal,[],[f1432]) ).
fof(f1432,plain,
( ! [X0,X1] :
( sdtmndt0(sdtpldt0(X0,X1),X0) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl1_16
| ~ spl1_109 ),
inference(resolution,[],[f1364,f231]) ).
fof(f1364,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(sdtpldt0(X1,X0))
| sdtmndt0(sdtpldt0(X1,X0),X1) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl1_109 ),
inference(avatar_component_clause,[],[f1363]) ).
fof(f4630,plain,
( spl1_281
| ~ spl1_6
| ~ spl1_64
| ~ spl1_108 ),
inference(avatar_split_clause,[],[f1429,f1359,f722,f164,f4628]) ).
fof(f4628,plain,
( spl1_281
<=> ! [X0] :
( sdtasdt0(X0,sz10) = sdtasdt0(sdtasdt0(X0,sz10),sz10)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_281])]) ).
fof(f1359,plain,
( spl1_108
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sz10) = sdtasdt0(X0,sdtasdt0(X1,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_108])]) ).
fof(f1429,plain,
( ! [X0] :
( sdtasdt0(X0,sz10) = sdtasdt0(sdtasdt0(X0,sz10),sz10)
| ~ aNaturalNumber0(X0) )
| ~ spl1_6
| ~ spl1_64
| ~ spl1_108 ),
inference(forward_demodulation,[],[f1421,f724]) ).
fof(f1421,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sz10),sz10) = sdtasdt0(X0,sdtasdt0(sz10,sz10))
| ~ aNaturalNumber0(X0) )
| ~ spl1_6
| ~ spl1_108 ),
inference(resolution,[],[f1360,f166]) ).
fof(f1360,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| sdtasdt0(sdtasdt0(X0,X1),sz10) = sdtasdt0(X0,sdtasdt0(X1,sz10))
| ~ aNaturalNumber0(X0) )
| ~ spl1_108 ),
inference(avatar_component_clause,[],[f1359]) ).
fof(f4626,plain,
( spl1_280
| ~ spl1_102
| ~ spl1_207 ),
inference(avatar_split_clause,[],[f3917,f3837,f1324,f4623]) ).
fof(f4623,plain,
( spl1_280
<=> sz00 = sdtasdt0(sz00,sdtpldt0(sz10,sdtasdt0(xm,xn))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_280])]) ).
fof(f3917,plain,
( sz00 = sdtasdt0(sz00,sdtpldt0(sz10,sdtasdt0(xm,xn)))
| ~ spl1_102
| ~ spl1_207 ),
inference(resolution,[],[f3838,f1325]) ).
fof(f4621,plain,
( spl1_279
| ~ spl1_5
| ~ spl1_60
| ~ spl1_108 ),
inference(avatar_split_clause,[],[f1428,f1359,f702,f159,f4619]) ).
fof(f4619,plain,
( spl1_279
<=> ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sz00),sz10)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_279])]) ).
fof(f1428,plain,
( ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sz00),sz10)
| ~ aNaturalNumber0(X0) )
| ~ spl1_5
| ~ spl1_60
| ~ spl1_108 ),
inference(forward_demodulation,[],[f1420,f704]) ).
fof(f1420,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sz00),sz10) = sdtasdt0(X0,sdtasdt0(sz00,sz10))
| ~ aNaturalNumber0(X0) )
| ~ spl1_5
| ~ spl1_108 ),
inference(resolution,[],[f1360,f161]) ).
fof(f4617,plain,
( spl1_278
| ~ spl1_6
| ~ spl1_59
| ~ spl1_107 ),
inference(avatar_split_clause,[],[f1417,f1355,f697,f164,f4615]) ).
fof(f4615,plain,
( spl1_278
<=> ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sz10),sz00)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_278])]) ).
fof(f1355,plain,
( spl1_107
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sz00) = sdtasdt0(X0,sdtasdt0(X1,sz00))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_107])]) ).
fof(f1417,plain,
( ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sz10),sz00)
| ~ aNaturalNumber0(X0) )
| ~ spl1_6
| ~ spl1_59
| ~ spl1_107 ),
inference(forward_demodulation,[],[f1409,f699]) ).
fof(f1409,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sz10),sz00) = sdtasdt0(X0,sdtasdt0(sz10,sz00))
| ~ aNaturalNumber0(X0) )
| ~ spl1_6
| ~ spl1_107 ),
inference(resolution,[],[f1356,f166]) ).
fof(f1356,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| sdtasdt0(sdtasdt0(X0,X1),sz00) = sdtasdt0(X0,sdtasdt0(X1,sz00))
| ~ aNaturalNumber0(X0) )
| ~ spl1_107 ),
inference(avatar_component_clause,[],[f1355]) ).
fof(f4613,plain,
( spl1_277
| ~ spl1_5
| ~ spl1_58
| ~ spl1_107 ),
inference(avatar_split_clause,[],[f1416,f1355,f692,f159,f4611]) ).
fof(f4611,plain,
( spl1_277
<=> ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sz00),sz00)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_277])]) ).
fof(f1416,plain,
( ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sz00),sz00)
| ~ aNaturalNumber0(X0) )
| ~ spl1_5
| ~ spl1_58
| ~ spl1_107 ),
inference(forward_demodulation,[],[f1408,f694]) ).
fof(f1408,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sz00),sz00) = sdtasdt0(X0,sdtasdt0(sz00,sz00))
| ~ aNaturalNumber0(X0) )
| ~ spl1_5
| ~ spl1_107 ),
inference(resolution,[],[f1356,f161]) ).
fof(f4609,plain,
( spl1_276
| ~ spl1_5
| ~ spl1_63
| ~ spl1_106 ),
inference(avatar_split_clause,[],[f1406,f1351,f717,f159,f4607]) ).
fof(f4607,plain,
( spl1_276
<=> ! [X0] :
( sdtpldt0(X0,sz10) = sdtpldt0(sdtpldt0(X0,sz00),sz10)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_276])]) ).
fof(f1406,plain,
( ! [X0] :
( sdtpldt0(X0,sz10) = sdtpldt0(sdtpldt0(X0,sz00),sz10)
| ~ aNaturalNumber0(X0) )
| ~ spl1_5
| ~ spl1_63
| ~ spl1_106 ),
inference(forward_demodulation,[],[f1398,f719]) ).
fof(f1398,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sz00),sz10) = sdtpldt0(X0,sdtpldt0(sz00,sz10))
| ~ aNaturalNumber0(X0) )
| ~ spl1_5
| ~ spl1_106 ),
inference(resolution,[],[f1352,f161]) ).
fof(f4605,plain,
( spl1_275
| ~ spl1_6
| ~ spl1_62
| ~ spl1_105 ),
inference(avatar_split_clause,[],[f1395,f1347,f712,f164,f4603]) ).
fof(f4603,plain,
( spl1_275
<=> ! [X0] :
( sdtpldt0(X0,sz10) = sdtpldt0(sdtpldt0(X0,sz10),sz00)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_275])]) ).
fof(f1347,plain,
( spl1_105
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(X0,sdtpldt0(X1,sz00))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_105])]) ).
fof(f1395,plain,
( ! [X0] :
( sdtpldt0(X0,sz10) = sdtpldt0(sdtpldt0(X0,sz10),sz00)
| ~ aNaturalNumber0(X0) )
| ~ spl1_6
| ~ spl1_62
| ~ spl1_105 ),
inference(forward_demodulation,[],[f1387,f714]) ).
fof(f1387,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sz10),sz00) = sdtpldt0(X0,sdtpldt0(sz10,sz00))
| ~ aNaturalNumber0(X0) )
| ~ spl1_6
| ~ spl1_105 ),
inference(resolution,[],[f1348,f166]) ).
fof(f1348,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| sdtpldt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(X0,sdtpldt0(X1,sz00))
| ~ aNaturalNumber0(X0) )
| ~ spl1_105 ),
inference(avatar_component_clause,[],[f1347]) ).
fof(f4601,plain,
( spl1_274
| ~ spl1_5
| ~ spl1_61
| ~ spl1_105 ),
inference(avatar_split_clause,[],[f1394,f1347,f707,f159,f4599]) ).
fof(f4599,plain,
( spl1_274
<=> ! [X0] :
( sdtpldt0(X0,sz00) = sdtpldt0(sdtpldt0(X0,sz00),sz00)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_274])]) ).
fof(f1394,plain,
( ! [X0] :
( sdtpldt0(X0,sz00) = sdtpldt0(sdtpldt0(X0,sz00),sz00)
| ~ aNaturalNumber0(X0) )
| ~ spl1_5
| ~ spl1_61
| ~ spl1_105 ),
inference(forward_demodulation,[],[f1386,f709]) ).
fof(f1386,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sz00),sz00) = sdtpldt0(X0,sdtpldt0(sz00,sz00))
| ~ aNaturalNumber0(X0) )
| ~ spl1_5
| ~ spl1_105 ),
inference(resolution,[],[f1348,f161]) ).
fof(f4597,plain,
( spl1_273
| ~ spl1_6
| ~ spl1_88 ),
inference(avatar_split_clause,[],[f1133,f1056,f164,f4595]) ).
fof(f4595,plain,
( spl1_273
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sz10,X0) = sdtpldt0(sdtasdt0(sz10,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_273])]) ).
fof(f1133,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sz10,X0) = sdtpldt0(sdtasdt0(sz10,X0),sz00) )
| ~ spl1_6
| ~ spl1_88 ),
inference(resolution,[],[f1057,f166]) ).
fof(f4593,plain,
( spl1_272
| ~ spl1_5
| ~ spl1_88 ),
inference(avatar_split_clause,[],[f1132,f1056,f159,f4591]) ).
fof(f4591,plain,
( spl1_272
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sz00,X0) = sdtpldt0(sdtasdt0(sz00,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_272])]) ).
fof(f1132,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sz00,X0) = sdtpldt0(sdtasdt0(sz00,X0),sz00) )
| ~ spl1_5
| ~ spl1_88 ),
inference(resolution,[],[f1057,f161]) ).
fof(f4589,plain,
( spl1_271
| ~ spl1_6
| ~ spl1_87 ),
inference(avatar_split_clause,[],[f1120,f1048,f164,f4587]) ).
fof(f4587,plain,
( spl1_271
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sz10,X0) = sdtpldt0(sz00,sdtasdt0(sz10,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_271])]) ).
fof(f1120,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sz10,X0) = sdtpldt0(sz00,sdtasdt0(sz10,X0)) )
| ~ spl1_6
| ~ spl1_87 ),
inference(resolution,[],[f1049,f166]) ).
fof(f4585,plain,
( spl1_270
| ~ spl1_5
| ~ spl1_87 ),
inference(avatar_split_clause,[],[f1119,f1048,f159,f4583]) ).
fof(f4583,plain,
( spl1_270
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sz00,X0) = sdtpldt0(sz00,sdtasdt0(sz00,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_270])]) ).
fof(f1119,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sz00,X0) = sdtpldt0(sz00,sdtasdt0(sz00,X0)) )
| ~ spl1_5
| ~ spl1_87 ),
inference(resolution,[],[f1049,f161]) ).
fof(f4581,plain,
( spl1_269
| ~ spl1_102
| ~ spl1_201 ),
inference(avatar_split_clause,[],[f3824,f3709,f1324,f4578]) ).
fof(f4578,plain,
( spl1_269
<=> sz00 = sdtasdt0(sdtasdt0(xn,sdtasdt0(xm,xn)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_269])]) ).
fof(f3709,plain,
( spl1_201
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtasdt0(xn,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_201])]) ).
fof(f3824,plain,
( sz00 = sdtasdt0(sdtasdt0(xn,sdtasdt0(xm,xn)),sz00)
| ~ spl1_102
| ~ spl1_201 ),
inference(resolution,[],[f3710,f1325]) ).
fof(f3710,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtasdt0(xn,X0),sz00) )
| ~ spl1_201 ),
inference(avatar_component_clause,[],[f3709]) ).
fof(f4576,plain,
( spl1_268
| ~ spl1_6
| ~ spl1_86 ),
inference(avatar_split_clause,[],[f1112,f1044,f164,f4574]) ).
fof(f4574,plain,
( spl1_268
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sz10,X0) = sdtasdt0(sdtasdt0(sz10,X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_268])]) ).
fof(f1112,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sz10,X0) = sdtasdt0(sdtasdt0(sz10,X0),sz10) )
| ~ spl1_6
| ~ spl1_86 ),
inference(resolution,[],[f1045,f166]) ).
fof(f4572,plain,
( spl1_267
| ~ spl1_5
| ~ spl1_86 ),
inference(avatar_split_clause,[],[f1111,f1044,f159,f4570]) ).
fof(f4570,plain,
( spl1_267
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sz00,X0) = sdtasdt0(sdtasdt0(sz00,X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_267])]) ).
fof(f1111,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sz00,X0) = sdtasdt0(sdtasdt0(sz00,X0),sz10) )
| ~ spl1_5
| ~ spl1_86 ),
inference(resolution,[],[f1045,f161]) ).
fof(f4568,plain,
( spl1_266
| ~ spl1_6
| ~ spl1_85 ),
inference(avatar_split_clause,[],[f1104,f1040,f164,f4566]) ).
fof(f4566,plain,
( spl1_266
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sz10,X0) = sdtasdt0(sz10,sdtasdt0(sz10,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_266])]) ).
fof(f1104,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sz10,X0) = sdtasdt0(sz10,sdtasdt0(sz10,X0)) )
| ~ spl1_6
| ~ spl1_85 ),
inference(resolution,[],[f1041,f166]) ).
fof(f4564,plain,
( spl1_265
| ~ spl1_5
| ~ spl1_85 ),
inference(avatar_split_clause,[],[f1103,f1040,f159,f4562]) ).
fof(f4562,plain,
( spl1_265
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sz00,X0) = sdtasdt0(sz10,sdtasdt0(sz00,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_265])]) ).
fof(f1103,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sz00,X0) = sdtasdt0(sz10,sdtasdt0(sz00,X0)) )
| ~ spl1_5
| ~ spl1_85 ),
inference(resolution,[],[f1041,f161]) ).
fof(f4560,plain,
( spl1_264
| ~ spl1_6
| ~ spl1_84 ),
inference(avatar_split_clause,[],[f1096,f1036,f164,f4558]) ).
fof(f4558,plain,
( spl1_264
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sz10,X0) = sdtpldt0(sdtpldt0(sz10,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_264])]) ).
fof(f1096,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sz10,X0) = sdtpldt0(sdtpldt0(sz10,X0),sz00) )
| ~ spl1_6
| ~ spl1_84 ),
inference(resolution,[],[f1037,f166]) ).
fof(f4556,plain,
( spl1_263
| ~ spl1_5
| ~ spl1_84 ),
inference(avatar_split_clause,[],[f1095,f1036,f159,f4554]) ).
fof(f4554,plain,
( spl1_263
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sz00,X0) = sdtpldt0(sdtpldt0(sz00,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_263])]) ).
fof(f1095,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sz00,X0) = sdtpldt0(sdtpldt0(sz00,X0),sz00) )
| ~ spl1_5
| ~ spl1_84 ),
inference(resolution,[],[f1037,f161]) ).
fof(f4552,plain,
( spl1_262
| ~ spl1_6
| ~ spl1_83 ),
inference(avatar_split_clause,[],[f1088,f1032,f164,f4550]) ).
fof(f4550,plain,
( spl1_262
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sz10,X0) = sdtpldt0(sz00,sdtpldt0(sz10,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_262])]) ).
fof(f1088,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sz10,X0) = sdtpldt0(sz00,sdtpldt0(sz10,X0)) )
| ~ spl1_6
| ~ spl1_83 ),
inference(resolution,[],[f1033,f166]) ).
fof(f4548,plain,
( spl1_261
| ~ spl1_5
| ~ spl1_83 ),
inference(avatar_split_clause,[],[f1087,f1032,f159,f4546]) ).
fof(f4546,plain,
( spl1_261
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sz00,X0) = sdtpldt0(sz00,sdtpldt0(sz00,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_261])]) ).
fof(f1087,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sz00,X0) = sdtpldt0(sz00,sdtpldt0(sz00,X0)) )
| ~ spl1_5
| ~ spl1_83 ),
inference(resolution,[],[f1033,f161]) ).
fof(f4544,plain,
( spl1_260
| ~ spl1_6
| ~ spl1_82 ),
inference(avatar_split_clause,[],[f1080,f1028,f164,f4542]) ).
fof(f4542,plain,
( spl1_260
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sz10,X0) = sdtasdt0(sdtpldt0(sz10,X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_260])]) ).
fof(f1080,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sz10,X0) = sdtasdt0(sdtpldt0(sz10,X0),sz10) )
| ~ spl1_6
| ~ spl1_82 ),
inference(resolution,[],[f1029,f166]) ).
fof(f4540,plain,
( spl1_259
| ~ spl1_5
| ~ spl1_82 ),
inference(avatar_split_clause,[],[f1079,f1028,f159,f4538]) ).
fof(f4538,plain,
( spl1_259
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sz00,X0) = sdtasdt0(sdtpldt0(sz00,X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_259])]) ).
fof(f1079,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sz00,X0) = sdtasdt0(sdtpldt0(sz00,X0),sz10) )
| ~ spl1_5
| ~ spl1_82 ),
inference(resolution,[],[f1029,f161]) ).
fof(f4536,plain,
( spl1_258
| ~ spl1_102
| ~ spl1_200 ),
inference(avatar_split_clause,[],[f3813,f3705,f1324,f4533]) ).
fof(f4533,plain,
( spl1_258
<=> sz00 = sdtasdt0(sdtasdt0(xm,sdtasdt0(xm,xn)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_258])]) ).
fof(f3813,plain,
( sz00 = sdtasdt0(sdtasdt0(xm,sdtasdt0(xm,xn)),sz00)
| ~ spl1_102
| ~ spl1_200 ),
inference(resolution,[],[f3706,f1325]) ).
fof(f4531,plain,
( spl1_257
| ~ spl1_6
| ~ spl1_81 ),
inference(avatar_split_clause,[],[f1072,f1024,f164,f4529]) ).
fof(f4529,plain,
( spl1_257
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sz10,X0) = sdtasdt0(sz10,sdtpldt0(sz10,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_257])]) ).
fof(f1072,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sz10,X0) = sdtasdt0(sz10,sdtpldt0(sz10,X0)) )
| ~ spl1_6
| ~ spl1_81 ),
inference(resolution,[],[f1025,f166]) ).
fof(f4527,plain,
( spl1_256
| ~ spl1_5
| ~ spl1_81 ),
inference(avatar_split_clause,[],[f1071,f1024,f159,f4525]) ).
fof(f4525,plain,
( spl1_256
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sz00,X0) = sdtasdt0(sz10,sdtpldt0(sz00,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_256])]) ).
fof(f1071,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sz00,X0) = sdtasdt0(sz10,sdtpldt0(sz00,X0)) )
| ~ spl1_5
| ~ spl1_81 ),
inference(resolution,[],[f1025,f161]) ).
fof(f4419,plain,
( spl1_255
| ~ spl1_102
| ~ spl1_199 ),
inference(avatar_split_clause,[],[f3797,f3701,f1324,f4416]) ).
fof(f4416,plain,
( spl1_255
<=> sz00 = sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xm,xn))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_255])]) ).
fof(f3701,plain,
( spl1_199
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtasdt0(xn,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_199])]) ).
fof(f3797,plain,
( sz00 = sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xm,xn)))
| ~ spl1_102
| ~ spl1_199 ),
inference(resolution,[],[f3702,f1325]) ).
fof(f3702,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtasdt0(xn,X0)) )
| ~ spl1_199 ),
inference(avatar_component_clause,[],[f3701]) ).
fof(f4304,plain,
( spl1_254
| ~ spl1_102
| ~ spl1_198 ),
inference(avatar_split_clause,[],[f3786,f3697,f1324,f4301]) ).
fof(f4301,plain,
( spl1_254
<=> sz00 = sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xm,xn))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_254])]) ).
fof(f3786,plain,
( sz00 = sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xm,xn)))
| ~ spl1_102
| ~ spl1_198 ),
inference(resolution,[],[f3698,f1325]) ).
fof(f4192,plain,
( spl1_253
| ~ spl1_102
| ~ spl1_197 ),
inference(avatar_split_clause,[],[f3775,f3693,f1324,f4189]) ).
fof(f4189,plain,
( spl1_253
<=> sz00 = sdtasdt0(sdtpldt0(xn,sdtasdt0(xm,xn)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_253])]) ).
fof(f3775,plain,
( sz00 = sdtasdt0(sdtpldt0(xn,sdtasdt0(xm,xn)),sz00)
| ~ spl1_102
| ~ spl1_197 ),
inference(resolution,[],[f3694,f1325]) ).
fof(f4187,plain,
( spl1_252
| ~ spl1_4
| ~ spl1_54
| ~ spl1_108 ),
inference(avatar_split_clause,[],[f1431,f1359,f539,f154,f4185]) ).
fof(f4185,plain,
( spl1_252
<=> ! [X0] :
( sdtasdt0(X0,xn) = sdtasdt0(sdtasdt0(X0,xn),sz10)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_252])]) ).
fof(f1431,plain,
( ! [X0] :
( sdtasdt0(X0,xn) = sdtasdt0(sdtasdt0(X0,xn),sz10)
| ~ aNaturalNumber0(X0) )
| ~ spl1_4
| ~ spl1_54
| ~ spl1_108 ),
inference(forward_demodulation,[],[f1426,f541]) ).
fof(f1426,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,xn),sz10) = sdtasdt0(X0,sdtasdt0(xn,sz10))
| ~ aNaturalNumber0(X0) )
| ~ spl1_4
| ~ spl1_108 ),
inference(resolution,[],[f1360,f156]) ).
fof(f4183,plain,
( spl1_251
| ~ spl1_3
| ~ spl1_53
| ~ spl1_108 ),
inference(avatar_split_clause,[],[f1430,f1359,f534,f149,f4181]) ).
fof(f4181,plain,
( spl1_251
<=> ! [X0] :
( sdtasdt0(X0,xm) = sdtasdt0(sdtasdt0(X0,xm),sz10)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_251])]) ).
fof(f1430,plain,
( ! [X0] :
( sdtasdt0(X0,xm) = sdtasdt0(sdtasdt0(X0,xm),sz10)
| ~ aNaturalNumber0(X0) )
| ~ spl1_3
| ~ spl1_53
| ~ spl1_108 ),
inference(forward_demodulation,[],[f1425,f536]) ).
fof(f1425,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,xm),sz10) = sdtasdt0(X0,sdtasdt0(xm,sz10))
| ~ aNaturalNumber0(X0) )
| ~ spl1_3
| ~ spl1_108 ),
inference(resolution,[],[f1360,f151]) ).
fof(f4179,plain,
( spl1_250
| ~ spl1_4
| ~ spl1_25
| ~ spl1_107 ),
inference(avatar_split_clause,[],[f1419,f1355,f295,f154,f4177]) ).
fof(f4177,plain,
( spl1_250
<=> ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,xn),sz00)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_250])]) ).
fof(f1419,plain,
( ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,xn),sz00)
| ~ aNaturalNumber0(X0) )
| ~ spl1_4
| ~ spl1_25
| ~ spl1_107 ),
inference(forward_demodulation,[],[f1414,f297]) ).
fof(f1414,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,xn),sz00) = sdtasdt0(X0,sdtasdt0(xn,sz00))
| ~ aNaturalNumber0(X0) )
| ~ spl1_4
| ~ spl1_107 ),
inference(resolution,[],[f1356,f156]) ).
fof(f4175,plain,
( spl1_249
| ~ spl1_3
| ~ spl1_18
| ~ spl1_107 ),
inference(avatar_split_clause,[],[f1418,f1355,f250,f149,f4173]) ).
fof(f4173,plain,
( spl1_249
<=> ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,xm),sz00)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_249])]) ).
fof(f1418,plain,
( ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,xm),sz00)
| ~ aNaturalNumber0(X0) )
| ~ spl1_3
| ~ spl1_18
| ~ spl1_107 ),
inference(forward_demodulation,[],[f1413,f252]) ).
fof(f1413,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,xm),sz00) = sdtasdt0(X0,sdtasdt0(xm,sz00))
| ~ aNaturalNumber0(X0) )
| ~ spl1_3
| ~ spl1_107 ),
inference(resolution,[],[f1356,f151]) ).
fof(f4171,plain,
( spl1_248
| ~ spl1_4
| ~ spl1_48
| ~ spl1_105 ),
inference(avatar_split_clause,[],[f1397,f1347,f503,f154,f4169]) ).
fof(f4169,plain,
( spl1_248
<=> ! [X0] :
( sdtpldt0(X0,xn) = sdtpldt0(sdtpldt0(X0,xn),sz00)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_248])]) ).
fof(f1397,plain,
( ! [X0] :
( sdtpldt0(X0,xn) = sdtpldt0(sdtpldt0(X0,xn),sz00)
| ~ aNaturalNumber0(X0) )
| ~ spl1_4
| ~ spl1_48
| ~ spl1_105 ),
inference(forward_demodulation,[],[f1392,f505]) ).
fof(f1392,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,xn),sz00) = sdtpldt0(X0,sdtpldt0(xn,sz00))
| ~ aNaturalNumber0(X0) )
| ~ spl1_4
| ~ spl1_105 ),
inference(resolution,[],[f1348,f156]) ).
fof(f4167,plain,
( spl1_247
| ~ spl1_3
| ~ spl1_44
| ~ spl1_105 ),
inference(avatar_split_clause,[],[f1396,f1347,f450,f149,f4165]) ).
fof(f4165,plain,
( spl1_247
<=> ! [X0] :
( sdtpldt0(X0,xm) = sdtpldt0(sdtpldt0(X0,xm),sz00)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_247])]) ).
fof(f1396,plain,
( ! [X0] :
( sdtpldt0(X0,xm) = sdtpldt0(sdtpldt0(X0,xm),sz00)
| ~ aNaturalNumber0(X0) )
| ~ spl1_3
| ~ spl1_44
| ~ spl1_105 ),
inference(forward_demodulation,[],[f1391,f452]) ).
fof(f1391,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,xm),sz00) = sdtpldt0(X0,sdtpldt0(xm,sz00))
| ~ aNaturalNumber0(X0) )
| ~ spl1_3
| ~ spl1_105 ),
inference(resolution,[],[f1348,f151]) ).
fof(f4163,plain,
( spl1_246
| ~ spl1_6
| ~ spl1_56
| ~ spl1_101 ),
inference(avatar_split_clause,[],[f1341,f1288,f549,f164,f4161]) ).
fof(f4161,plain,
( spl1_246
<=> ! [X0] :
( sdtasdt0(X0,xn) = sdtasdt0(sdtasdt0(X0,sz10),xn)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_246])]) ).
fof(f1341,plain,
( ! [X0] :
( sdtasdt0(X0,xn) = sdtasdt0(sdtasdt0(X0,sz10),xn)
| ~ aNaturalNumber0(X0) )
| ~ spl1_6
| ~ spl1_56
| ~ spl1_101 ),
inference(forward_demodulation,[],[f1333,f551]) ).
fof(f1333,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sz10),xn) = sdtasdt0(X0,sdtasdt0(sz10,xn))
| ~ aNaturalNumber0(X0) )
| ~ spl1_6
| ~ spl1_101 ),
inference(resolution,[],[f1289,f166]) ).
fof(f4159,plain,
( spl1_245
| ~ spl1_5
| ~ spl1_37
| ~ spl1_101 ),
inference(avatar_split_clause,[],[f1340,f1288,f401,f159,f4157]) ).
fof(f4157,plain,
( spl1_245
<=> ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sz00),xn)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_245])]) ).
fof(f1340,plain,
( ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sz00),xn)
| ~ aNaturalNumber0(X0) )
| ~ spl1_5
| ~ spl1_37
| ~ spl1_101 ),
inference(forward_demodulation,[],[f1332,f403]) ).
fof(f1332,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sz00),xn) = sdtasdt0(X0,sdtasdt0(sz00,xn))
| ~ aNaturalNumber0(X0) )
| ~ spl1_5
| ~ spl1_101 ),
inference(resolution,[],[f1289,f161]) ).
fof(f4155,plain,
( spl1_244
| ~ spl1_6
| ~ spl1_55
| ~ spl1_100 ),
inference(avatar_split_clause,[],[f1321,f1284,f544,f164,f4153]) ).
fof(f4153,plain,
( spl1_244
<=> ! [X0] :
( sdtasdt0(X0,xm) = sdtasdt0(sdtasdt0(X0,sz10),xm)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_244])]) ).
fof(f1321,plain,
( ! [X0] :
( sdtasdt0(X0,xm) = sdtasdt0(sdtasdt0(X0,sz10),xm)
| ~ aNaturalNumber0(X0) )
| ~ spl1_6
| ~ spl1_55
| ~ spl1_100 ),
inference(forward_demodulation,[],[f1313,f546]) ).
fof(f1313,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sz10),xm) = sdtasdt0(X0,sdtasdt0(sz10,xm))
| ~ aNaturalNumber0(X0) )
| ~ spl1_6
| ~ spl1_100 ),
inference(resolution,[],[f1285,f166]) ).
fof(f4151,plain,
( spl1_243
| ~ spl1_5
| ~ spl1_30
| ~ spl1_100 ),
inference(avatar_split_clause,[],[f1320,f1284,f342,f159,f4149]) ).
fof(f4149,plain,
( spl1_243
<=> ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sz00),xm)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_243])]) ).
fof(f1320,plain,
( ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sz00),xm)
| ~ aNaturalNumber0(X0) )
| ~ spl1_5
| ~ spl1_30
| ~ spl1_100 ),
inference(forward_demodulation,[],[f1312,f344]) ).
fof(f1312,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sz00),xm) = sdtasdt0(X0,sdtasdt0(sz00,xm))
| ~ aNaturalNumber0(X0) )
| ~ spl1_5
| ~ spl1_100 ),
inference(resolution,[],[f1285,f161]) ).
fof(f4147,plain,
( spl1_242
| ~ spl1_102
| ~ spl1_196 ),
inference(avatar_split_clause,[],[f3765,f3689,f1324,f4144]) ).
fof(f4144,plain,
( spl1_242
<=> sz00 = sdtasdt0(sdtpldt0(xm,sdtasdt0(xm,xn)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_242])]) ).
fof(f3765,plain,
( sz00 = sdtasdt0(sdtpldt0(xm,sdtasdt0(xm,xn)),sz00)
| ~ spl1_102
| ~ spl1_196 ),
inference(resolution,[],[f3690,f1325]) ).
fof(f4142,plain,
( spl1_241
| ~ spl1_5
| ~ spl1_52
| ~ spl1_99 ),
inference(avatar_split_clause,[],[f1310,f1280,f529,f159,f4140]) ).
fof(f4140,plain,
( spl1_241
<=> ! [X0] :
( sdtpldt0(X0,xn) = sdtpldt0(sdtpldt0(X0,sz00),xn)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_241])]) ).
fof(f1310,plain,
( ! [X0] :
( sdtpldt0(X0,xn) = sdtpldt0(sdtpldt0(X0,sz00),xn)
| ~ aNaturalNumber0(X0) )
| ~ spl1_5
| ~ spl1_52
| ~ spl1_99 ),
inference(forward_demodulation,[],[f1302,f531]) ).
fof(f1302,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sz00),xn) = sdtpldt0(X0,sdtpldt0(sz00,xn))
| ~ aNaturalNumber0(X0) )
| ~ spl1_5
| ~ spl1_99 ),
inference(resolution,[],[f1281,f161]) ).
fof(f4138,plain,
( spl1_240
| ~ spl1_5
| ~ spl1_51
| ~ spl1_98 ),
inference(avatar_split_clause,[],[f1299,f1276,f524,f159,f4136]) ).
fof(f4136,plain,
( spl1_240
<=> ! [X0] :
( sdtpldt0(X0,xm) = sdtpldt0(sdtpldt0(X0,sz00),xm)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_240])]) ).
fof(f1299,plain,
( ! [X0] :
( sdtpldt0(X0,xm) = sdtpldt0(sdtpldt0(X0,sz00),xm)
| ~ aNaturalNumber0(X0) )
| ~ spl1_5
| ~ spl1_51
| ~ spl1_98 ),
inference(forward_demodulation,[],[f1291,f526]) ).
fof(f1291,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sz00),xm) = sdtpldt0(X0,sdtpldt0(sz00,xm))
| ~ aNaturalNumber0(X0) )
| ~ spl1_5
| ~ spl1_98 ),
inference(resolution,[],[f1277,f161]) ).
fof(f4134,plain,
( spl1_239
| ~ spl1_4
| ~ spl1_88 ),
inference(avatar_split_clause,[],[f1138,f1056,f154,f4132]) ).
fof(f4132,plain,
( spl1_239
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(xn,X0) = sdtpldt0(sdtasdt0(xn,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_239])]) ).
fof(f1138,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(xn,X0) = sdtpldt0(sdtasdt0(xn,X0),sz00) )
| ~ spl1_4
| ~ spl1_88 ),
inference(resolution,[],[f1057,f156]) ).
fof(f4130,plain,
( spl1_238
| ~ spl1_3
| ~ spl1_88 ),
inference(avatar_split_clause,[],[f1137,f1056,f149,f4128]) ).
fof(f4128,plain,
( spl1_238
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(xm,X0) = sdtpldt0(sdtasdt0(xm,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_238])]) ).
fof(f1137,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(xm,X0) = sdtpldt0(sdtasdt0(xm,X0),sz00) )
| ~ spl1_3
| ~ spl1_88 ),
inference(resolution,[],[f1057,f151]) ).
fof(f4126,plain,
( spl1_237
| ~ spl1_4
| ~ spl1_87 ),
inference(avatar_split_clause,[],[f1125,f1048,f154,f4124]) ).
fof(f4124,plain,
( spl1_237
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(xn,X0) = sdtpldt0(sz00,sdtasdt0(xn,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_237])]) ).
fof(f1125,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(xn,X0) = sdtpldt0(sz00,sdtasdt0(xn,X0)) )
| ~ spl1_4
| ~ spl1_87 ),
inference(resolution,[],[f1049,f156]) ).
fof(f4122,plain,
( spl1_236
| ~ spl1_3
| ~ spl1_87 ),
inference(avatar_split_clause,[],[f1124,f1048,f149,f4120]) ).
fof(f4120,plain,
( spl1_236
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(xm,X0) = sdtpldt0(sz00,sdtasdt0(xm,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_236])]) ).
fof(f1124,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(xm,X0) = sdtpldt0(sz00,sdtasdt0(xm,X0)) )
| ~ spl1_3
| ~ spl1_87 ),
inference(resolution,[],[f1049,f151]) ).
fof(f4118,plain,
( spl1_235
| ~ spl1_4
| ~ spl1_86 ),
inference(avatar_split_clause,[],[f1117,f1044,f154,f4116]) ).
fof(f4116,plain,
( spl1_235
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(xn,X0) = sdtasdt0(sdtasdt0(xn,X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_235])]) ).
fof(f1117,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(xn,X0) = sdtasdt0(sdtasdt0(xn,X0),sz10) )
| ~ spl1_4
| ~ spl1_86 ),
inference(resolution,[],[f1045,f156]) ).
fof(f4114,plain,
( spl1_234
| ~ spl1_3
| ~ spl1_86 ),
inference(avatar_split_clause,[],[f1116,f1044,f149,f4112]) ).
fof(f4112,plain,
( spl1_234
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(xm,X0) = sdtasdt0(sdtasdt0(xm,X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_234])]) ).
fof(f1116,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(xm,X0) = sdtasdt0(sdtasdt0(xm,X0),sz10) )
| ~ spl1_3
| ~ spl1_86 ),
inference(resolution,[],[f1045,f151]) ).
fof(f4110,plain,
( spl1_233
| ~ spl1_4
| ~ spl1_85 ),
inference(avatar_split_clause,[],[f1109,f1040,f154,f4108]) ).
fof(f4108,plain,
( spl1_233
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(xn,X0) = sdtasdt0(sz10,sdtasdt0(xn,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_233])]) ).
fof(f1109,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(xn,X0) = sdtasdt0(sz10,sdtasdt0(xn,X0)) )
| ~ spl1_4
| ~ spl1_85 ),
inference(resolution,[],[f1041,f156]) ).
fof(f4106,plain,
( spl1_232
| ~ spl1_3
| ~ spl1_85 ),
inference(avatar_split_clause,[],[f1108,f1040,f149,f4104]) ).
fof(f4104,plain,
( spl1_232
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(xm,X0) = sdtasdt0(sz10,sdtasdt0(xm,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_232])]) ).
fof(f1108,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(xm,X0) = sdtasdt0(sz10,sdtasdt0(xm,X0)) )
| ~ spl1_3
| ~ spl1_85 ),
inference(resolution,[],[f1041,f151]) ).
fof(f4102,plain,
( spl1_231
| ~ spl1_102
| ~ spl1_194 ),
inference(avatar_split_clause,[],[f3754,f3680,f1324,f4099]) ).
fof(f4099,plain,
( spl1_231
<=> sz00 = sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xm,xn))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_231])]) ).
fof(f3754,plain,
( sz00 = sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xm,xn)))
| ~ spl1_102
| ~ spl1_194 ),
inference(resolution,[],[f3681,f1325]) ).
fof(f4097,plain,
( spl1_230
| ~ spl1_4
| ~ spl1_84 ),
inference(avatar_split_clause,[],[f1101,f1036,f154,f4095]) ).
fof(f4095,plain,
( spl1_230
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(xn,X0) = sdtpldt0(sdtpldt0(xn,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_230])]) ).
fof(f1101,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(xn,X0) = sdtpldt0(sdtpldt0(xn,X0),sz00) )
| ~ spl1_4
| ~ spl1_84 ),
inference(resolution,[],[f1037,f156]) ).
fof(f4093,plain,
( spl1_229
| ~ spl1_3
| ~ spl1_84 ),
inference(avatar_split_clause,[],[f1100,f1036,f149,f4091]) ).
fof(f4091,plain,
( spl1_229
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(xm,X0) = sdtpldt0(sdtpldt0(xm,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_229])]) ).
fof(f1100,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(xm,X0) = sdtpldt0(sdtpldt0(xm,X0),sz00) )
| ~ spl1_3
| ~ spl1_84 ),
inference(resolution,[],[f1037,f151]) ).
fof(f4089,plain,
( spl1_228
| ~ spl1_4
| ~ spl1_83 ),
inference(avatar_split_clause,[],[f1093,f1032,f154,f4087]) ).
fof(f4087,plain,
( spl1_228
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(xn,X0) = sdtpldt0(sz00,sdtpldt0(xn,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_228])]) ).
fof(f1093,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(xn,X0) = sdtpldt0(sz00,sdtpldt0(xn,X0)) )
| ~ spl1_4
| ~ spl1_83 ),
inference(resolution,[],[f1033,f156]) ).
fof(f4085,plain,
( spl1_227
| ~ spl1_3
| ~ spl1_83 ),
inference(avatar_split_clause,[],[f1092,f1032,f149,f4083]) ).
fof(f4083,plain,
( spl1_227
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(xm,X0) = sdtpldt0(sz00,sdtpldt0(xm,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_227])]) ).
fof(f1092,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(xm,X0) = sdtpldt0(sz00,sdtpldt0(xm,X0)) )
| ~ spl1_3
| ~ spl1_83 ),
inference(resolution,[],[f1033,f151]) ).
fof(f4081,plain,
( spl1_226
| ~ spl1_4
| ~ spl1_82 ),
inference(avatar_split_clause,[],[f1085,f1028,f154,f4079]) ).
fof(f4079,plain,
( spl1_226
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(xn,X0) = sdtasdt0(sdtpldt0(xn,X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_226])]) ).
fof(f1085,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(xn,X0) = sdtasdt0(sdtpldt0(xn,X0),sz10) )
| ~ spl1_4
| ~ spl1_82 ),
inference(resolution,[],[f1029,f156]) ).
fof(f4077,plain,
( spl1_225
| ~ spl1_3
| ~ spl1_82 ),
inference(avatar_split_clause,[],[f1084,f1028,f149,f4075]) ).
fof(f4075,plain,
( spl1_225
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(xm,X0) = sdtasdt0(sdtpldt0(xm,X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_225])]) ).
fof(f1084,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(xm,X0) = sdtasdt0(sdtpldt0(xm,X0),sz10) )
| ~ spl1_3
| ~ spl1_82 ),
inference(resolution,[],[f1029,f151]) ).
fof(f4073,plain,
( spl1_224
| ~ spl1_4
| ~ spl1_81 ),
inference(avatar_split_clause,[],[f1077,f1024,f154,f4071]) ).
fof(f4071,plain,
( spl1_224
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(xn,X0) = sdtasdt0(sz10,sdtpldt0(xn,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_224])]) ).
fof(f1077,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(xn,X0) = sdtasdt0(sz10,sdtpldt0(xn,X0)) )
| ~ spl1_4
| ~ spl1_81 ),
inference(resolution,[],[f1025,f156]) ).
fof(f4069,plain,
( spl1_223
| ~ spl1_3
| ~ spl1_81 ),
inference(avatar_split_clause,[],[f1076,f1024,f149,f4067]) ).
fof(f4067,plain,
( spl1_223
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(xm,X0) = sdtasdt0(sz10,sdtpldt0(xm,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_223])]) ).
fof(f1076,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(xm,X0) = sdtasdt0(sz10,sdtpldt0(xm,X0)) )
| ~ spl1_3
| ~ spl1_81 ),
inference(resolution,[],[f1025,f151]) ).
fof(f4060,plain,
( spl1_8
| ~ spl1_5
| ~ spl1_6
| ~ spl1_222
| ~ spl1_63
| ~ spl1_134 ),
inference(avatar_split_clause,[],[f1963,f1916,f717,f4057,f164,f159,f173]) ).
fof(f4057,plain,
( spl1_222
<=> sdtlseqdt0(sz10,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_222])]) ).
fof(f1916,plain,
( spl1_134
<=> ! [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,[spl1_134])]) ).
fof(f1963,plain,
( ~ sdtlseqdt0(sz10,sz00)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| sz00 = sz10
| ~ spl1_63
| ~ spl1_134 ),
inference(duplicate_literal_removal,[],[f1958]) ).
fof(f1958,plain,
( ~ sdtlseqdt0(sz10,sz00)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| sz00 = sz10
| ~ aNaturalNumber0(sz10)
| ~ spl1_63
| ~ spl1_134 ),
inference(superposition,[],[f1917,f719]) ).
fof(f1917,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(sdtpldt0(X1,X0),X1)
| ~ aNaturalNumber0(sdtpldt0(X1,X0))
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,X0) = X1
| ~ aNaturalNumber0(X0) )
| ~ spl1_134 ),
inference(avatar_component_clause,[],[f1916]) ).
fof(f4055,plain,
( spl1_221
| ~ spl1_102
| ~ spl1_193 ),
inference(avatar_split_clause,[],[f3744,f3676,f1324,f4052]) ).
fof(f4052,plain,
( spl1_221
<=> sz00 = sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xm,xn))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_221])]) ).
fof(f3744,plain,
( sz00 = sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xm,xn)))
| ~ spl1_102
| ~ spl1_193 ),
inference(resolution,[],[f3677,f1325]) ).
fof(f3895,plain,
( ~ spl1_5
| spl1_220
| ~ spl1_6
| ~ spl1_62
| ~ spl1_109 ),
inference(avatar_split_clause,[],[f1445,f1363,f712,f164,f3892,f159]) ).
fof(f3892,plain,
( spl1_220
<=> sz00 = sdtmndt0(sz10,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_220])]) ).
fof(f1445,plain,
( ~ aNaturalNumber0(sz10)
| sz00 = sdtmndt0(sz10,sz10)
| ~ aNaturalNumber0(sz00)
| ~ spl1_62
| ~ spl1_109 ),
inference(duplicate_literal_removal,[],[f1434]) ).
fof(f1434,plain,
( ~ aNaturalNumber0(sz10)
| sz00 = sdtmndt0(sz10,sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz10)
| ~ spl1_62
| ~ spl1_109 ),
inference(superposition,[],[f1364,f714]) ).
fof(f3889,plain,
( ~ spl1_5
| spl1_219
| ~ spl1_6
| ~ spl1_63
| ~ spl1_109 ),
inference(avatar_split_clause,[],[f1442,f1363,f717,f164,f3886,f159]) ).
fof(f3886,plain,
( spl1_219
<=> sz10 = sdtmndt0(sz10,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_219])]) ).
fof(f1442,plain,
( ~ aNaturalNumber0(sz10)
| sz10 = sdtmndt0(sz10,sz00)
| ~ aNaturalNumber0(sz00)
| ~ spl1_63
| ~ spl1_109 ),
inference(duplicate_literal_removal,[],[f1437]) ).
fof(f1437,plain,
( ~ aNaturalNumber0(sz10)
| sz10 = sdtmndt0(sz10,sz00)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ spl1_63
| ~ spl1_109 ),
inference(superposition,[],[f1364,f719]) ).
fof(f3884,plain,
( spl1_218
| ~ spl1_9
| ~ spl1_94 ),
inference(avatar_split_clause,[],[f1232,f1153,f178,f3882]) ).
fof(f1232,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtmndt0(X0,X0)) )
| ~ spl1_9
| ~ spl1_94 ),
inference(duplicate_literal_removal,[],[f1217]) ).
fof(f1217,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtmndt0(X0,X0))
| ~ aNaturalNumber0(X0) )
| ~ spl1_9
| ~ spl1_94 ),
inference(resolution,[],[f1154,f179]) ).
fof(f3880,plain,
( spl1_217
| ~ spl1_9
| ~ spl1_93 ),
inference(avatar_split_clause,[],[f1211,f1149,f178,f3878]) ).
fof(f1211,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtmndt0(X0,X0),sz00) )
| ~ spl1_9
| ~ spl1_93 ),
inference(duplicate_literal_removal,[],[f1196]) ).
fof(f1196,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtmndt0(X0,X0),sz00)
| ~ aNaturalNumber0(X0) )
| ~ spl1_9
| ~ spl1_93 ),
inference(resolution,[],[f1150,f179]) ).
fof(f3876,plain,
( spl1_216
| ~ spl1_9
| ~ spl1_92 ),
inference(avatar_split_clause,[],[f1195,f1145,f178,f3874]) ).
fof(f1195,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sK0(X0,X0)) )
| ~ spl1_9
| ~ spl1_92 ),
inference(duplicate_literal_removal,[],[f1180]) ).
fof(f1180,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sK0(X0,X0))
| ~ aNaturalNumber0(X0) )
| ~ spl1_9
| ~ spl1_92 ),
inference(resolution,[],[f1146,f179]) ).
fof(f3872,plain,
( spl1_215
| ~ spl1_9
| ~ spl1_91 ),
inference(avatar_split_clause,[],[f1179,f1141,f178,f3870]) ).
fof(f1179,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sK0(X0,X0),sz00) )
| ~ spl1_9
| ~ spl1_91 ),
inference(duplicate_literal_removal,[],[f1164]) ).
fof(f1164,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sK0(X0,X0),sz00)
| ~ aNaturalNumber0(X0) )
| ~ spl1_9
| ~ spl1_91 ),
inference(resolution,[],[f1142,f179]) ).
fof(f3868,plain,
( ~ spl1_3
| ~ spl1_214
| ~ spl1_7
| ~ spl1_97
| ~ spl1_181 ),
inference(avatar_split_clause,[],[f3300,f3235,f1213,f169,f3865,f149]) ).
fof(f3865,plain,
( spl1_214
<=> sdtpldt0(xm,xn) = sdtasdt0(xm,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_214])]) ).
fof(f169,plain,
( spl1_7
<=> ! [X0] :
( sdtpldt0(xn,X0) != sdtasdt0(xn,xm)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_7])]) ).
fof(f3300,plain,
( sdtpldt0(xm,xn) != sdtasdt0(xm,xn)
| ~ aNaturalNumber0(xm)
| ~ spl1_7
| ~ spl1_97
| ~ spl1_181 ),
inference(forward_demodulation,[],[f3279,f3237]) ).
fof(f3279,plain,
( sdtasdt0(xn,xm) != sdtpldt0(xm,xn)
| ~ aNaturalNumber0(xm)
| ~ spl1_7
| ~ spl1_97 ),
inference(superposition,[],[f170,f1215]) ).
fof(f170,plain,
( ! [X0] :
( sdtpldt0(xn,X0) != sdtasdt0(xn,xm)
| ~ aNaturalNumber0(X0) )
| ~ spl1_7 ),
inference(avatar_component_clause,[],[f169]) ).
fof(f3863,plain,
( spl1_213
| ~ spl1_6
| ~ spl1_79 ),
inference(avatar_split_clause,[],[f1016,f983,f164,f3861]) ).
fof(f3861,plain,
( spl1_213
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtasdt0(sz10,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_213])]) ).
fof(f1016,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtasdt0(sz10,X0),sz00) )
| ~ spl1_6
| ~ spl1_79 ),
inference(resolution,[],[f984,f166]) ).
fof(f3859,plain,
( spl1_212
| ~ spl1_5
| ~ spl1_79 ),
inference(avatar_split_clause,[],[f1015,f983,f159,f3857]) ).
fof(f3857,plain,
( spl1_212
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtasdt0(sz00,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_212])]) ).
fof(f1015,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtasdt0(sz00,X0),sz00) )
| ~ spl1_5
| ~ spl1_79 ),
inference(resolution,[],[f984,f161]) ).
fof(f3855,plain,
( spl1_211
| ~ spl1_6
| ~ spl1_78 ),
inference(avatar_split_clause,[],[f1008,f979,f164,f3853]) ).
fof(f3853,plain,
( spl1_211
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtasdt0(sz10,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_211])]) ).
fof(f1008,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtasdt0(sz10,X0)) )
| ~ spl1_6
| ~ spl1_78 ),
inference(resolution,[],[f980,f166]) ).
fof(f3851,plain,
( spl1_210
| ~ spl1_5
| ~ spl1_78 ),
inference(avatar_split_clause,[],[f1007,f979,f159,f3849]) ).
fof(f3849,plain,
( spl1_210
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtasdt0(sz00,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_210])]) ).
fof(f1007,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtasdt0(sz00,X0)) )
| ~ spl1_5
| ~ spl1_78 ),
inference(resolution,[],[f980,f161]) ).
fof(f3847,plain,
( spl1_209
| ~ spl1_6
| ~ spl1_77 ),
inference(avatar_split_clause,[],[f1000,f975,f164,f3845]) ).
fof(f1000,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtpldt0(sz10,X0),sz00) )
| ~ spl1_6
| ~ spl1_77 ),
inference(resolution,[],[f976,f166]) ).
fof(f3843,plain,
( spl1_208
| ~ spl1_5
| ~ spl1_77 ),
inference(avatar_split_clause,[],[f999,f975,f159,f3841]) ).
fof(f3841,plain,
( spl1_208
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtpldt0(sz00,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_208])]) ).
fof(f999,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtpldt0(sz00,X0),sz00) )
| ~ spl1_5
| ~ spl1_77 ),
inference(resolution,[],[f976,f161]) ).
fof(f3839,plain,
( spl1_207
| ~ spl1_6
| ~ spl1_76 ),
inference(avatar_split_clause,[],[f987,f971,f164,f3837]) ).
fof(f987,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(sz10,X0)) )
| ~ spl1_6
| ~ spl1_76 ),
inference(resolution,[],[f972,f166]) ).
fof(f3835,plain,
( spl1_206
| ~ spl1_5
| ~ spl1_76 ),
inference(avatar_split_clause,[],[f986,f971,f159,f3833]) ).
fof(f3833,plain,
( spl1_206
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(sz00,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_206])]) ).
fof(f986,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(sz00,X0)) )
| ~ spl1_5
| ~ spl1_76 ),
inference(resolution,[],[f972,f161]) ).
fof(f3736,plain,
( ~ spl1_5
| spl1_205
| ~ spl1_3
| ~ spl1_44
| ~ spl1_109 ),
inference(avatar_split_clause,[],[f1444,f1363,f450,f149,f3733,f159]) ).
fof(f3733,plain,
( spl1_205
<=> sz00 = sdtmndt0(xm,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_205])]) ).
fof(f1444,plain,
( ~ aNaturalNumber0(xm)
| sz00 = sdtmndt0(xm,xm)
| ~ aNaturalNumber0(sz00)
| ~ spl1_44
| ~ spl1_109 ),
inference(duplicate_literal_removal,[],[f1435]) ).
fof(f1435,plain,
( ~ aNaturalNumber0(xm)
| sz00 = sdtmndt0(xm,xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ spl1_44
| ~ spl1_109 ),
inference(superposition,[],[f1364,f452]) ).
fof(f3728,plain,
( ~ spl1_5
| spl1_204
| ~ spl1_4
| ~ spl1_48
| ~ spl1_109 ),
inference(avatar_split_clause,[],[f1443,f1363,f503,f154,f3725,f159]) ).
fof(f3725,plain,
( spl1_204
<=> sz00 = sdtmndt0(xn,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_204])]) ).
fof(f1443,plain,
( ~ aNaturalNumber0(xn)
| sz00 = sdtmndt0(xn,xn)
| ~ aNaturalNumber0(sz00)
| ~ spl1_48
| ~ spl1_109 ),
inference(duplicate_literal_removal,[],[f1436]) ).
fof(f1436,plain,
( ~ aNaturalNumber0(xn)
| sz00 = sdtmndt0(xn,xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ spl1_48
| ~ spl1_109 ),
inference(superposition,[],[f1364,f505]) ).
fof(f3722,plain,
( ~ spl1_5
| spl1_203
| ~ spl1_3
| ~ spl1_51
| ~ spl1_109 ),
inference(avatar_split_clause,[],[f1441,f1363,f524,f149,f3719,f159]) ).
fof(f3719,plain,
( spl1_203
<=> xm = sdtmndt0(xm,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_203])]) ).
fof(f1441,plain,
( ~ aNaturalNumber0(xm)
| xm = sdtmndt0(xm,sz00)
| ~ aNaturalNumber0(sz00)
| ~ spl1_51
| ~ spl1_109 ),
inference(duplicate_literal_removal,[],[f1438]) ).
fof(f1438,plain,
( ~ aNaturalNumber0(xm)
| xm = sdtmndt0(xm,sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00)
| ~ spl1_51
| ~ spl1_109 ),
inference(superposition,[],[f1364,f526]) ).
fof(f3716,plain,
( ~ spl1_5
| spl1_202
| ~ spl1_4
| ~ spl1_52
| ~ spl1_109 ),
inference(avatar_split_clause,[],[f1440,f1363,f529,f154,f3713,f159]) ).
fof(f3713,plain,
( spl1_202
<=> xn = sdtmndt0(xn,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_202])]) ).
fof(f1440,plain,
( ~ aNaturalNumber0(xn)
| xn = sdtmndt0(xn,sz00)
| ~ aNaturalNumber0(sz00)
| ~ spl1_52
| ~ spl1_109 ),
inference(duplicate_literal_removal,[],[f1439]) ).
fof(f1439,plain,
( ~ aNaturalNumber0(xn)
| xn = sdtmndt0(xn,sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz00)
| ~ spl1_52
| ~ spl1_109 ),
inference(superposition,[],[f1364,f531]) ).
fof(f3711,plain,
( spl1_201
| ~ spl1_4
| ~ spl1_79 ),
inference(avatar_split_clause,[],[f1021,f983,f154,f3709]) ).
fof(f1021,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtasdt0(xn,X0),sz00) )
| ~ spl1_4
| ~ spl1_79 ),
inference(resolution,[],[f984,f156]) ).
fof(f3707,plain,
( spl1_200
| ~ spl1_3
| ~ spl1_79 ),
inference(avatar_split_clause,[],[f1020,f983,f149,f3705]) ).
fof(f1020,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtasdt0(xm,X0),sz00) )
| ~ spl1_3
| ~ spl1_79 ),
inference(resolution,[],[f984,f151]) ).
fof(f3703,plain,
( spl1_199
| ~ spl1_4
| ~ spl1_78 ),
inference(avatar_split_clause,[],[f1013,f979,f154,f3701]) ).
fof(f1013,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtasdt0(xn,X0)) )
| ~ spl1_4
| ~ spl1_78 ),
inference(resolution,[],[f980,f156]) ).
fof(f3699,plain,
( spl1_198
| ~ spl1_3
| ~ spl1_78 ),
inference(avatar_split_clause,[],[f1012,f979,f149,f3697]) ).
fof(f1012,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtasdt0(xm,X0)) )
| ~ spl1_3
| ~ spl1_78 ),
inference(resolution,[],[f980,f151]) ).
fof(f3695,plain,
( spl1_197
| ~ spl1_4
| ~ spl1_77 ),
inference(avatar_split_clause,[],[f1005,f975,f154,f3693]) ).
fof(f1005,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtpldt0(xn,X0),sz00) )
| ~ spl1_4
| ~ spl1_77 ),
inference(resolution,[],[f976,f156]) ).
fof(f3691,plain,
( spl1_196
| ~ spl1_3
| ~ spl1_77 ),
inference(avatar_split_clause,[],[f1004,f975,f149,f3689]) ).
fof(f1004,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtpldt0(xm,X0),sz00) )
| ~ spl1_3
| ~ spl1_77 ),
inference(resolution,[],[f976,f151]) ).
fof(f3687,plain,
( ~ spl1_195
| spl1_2
| ~ spl1_181 ),
inference(avatar_split_clause,[],[f3344,f3235,f144,f3684]) ).
fof(f3684,plain,
( spl1_195
<=> sdtlseqdt0(xn,sdtasdt0(xm,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_195])]) ).
fof(f3344,plain,
( ~ sdtlseqdt0(xn,sdtasdt0(xm,xn))
| spl1_2
| ~ spl1_181 ),
inference(superposition,[],[f146,f3237]) ).
fof(f3682,plain,
( spl1_194
| ~ spl1_4
| ~ spl1_76 ),
inference(avatar_split_clause,[],[f992,f971,f154,f3680]) ).
fof(f992,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(xn,X0)) )
| ~ spl1_4
| ~ spl1_76 ),
inference(resolution,[],[f972,f156]) ).
fof(f3678,plain,
( spl1_193
| ~ spl1_3
| ~ spl1_76 ),
inference(avatar_split_clause,[],[f991,f971,f149,f3676]) ).
fof(f991,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(xm,X0)) )
| ~ spl1_3
| ~ spl1_76 ),
inference(resolution,[],[f972,f151]) ).
fof(f3542,plain,
( spl1_192
| ~ spl1_5
| ~ spl1_61
| ~ spl1_109 ),
inference(avatar_split_clause,[],[f1446,f1363,f707,f159,f3539]) ).
fof(f3539,plain,
( spl1_192
<=> sz00 = sdtmndt0(sz00,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_192])]) ).
fof(f1446,plain,
( ~ aNaturalNumber0(sz00)
| sz00 = sdtmndt0(sz00,sz00)
| ~ spl1_61
| ~ spl1_109 ),
inference(duplicate_literal_removal,[],[f1433]) ).
fof(f1433,plain,
( ~ aNaturalNumber0(sz00)
| sz00 = sdtmndt0(sz00,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz00)
| ~ spl1_61
| ~ spl1_109 ),
inference(superposition,[],[f1364,f709]) ).
fof(f3537,plain,
( spl1_191
| ~ spl1_6
| ~ spl1_75 ),
inference(avatar_split_clause,[],[f963,f905,f164,f3534]) ).
fof(f3534,plain,
( spl1_191
<=> sz10 = sdtpldt0(sz10,sdtmndt0(sz10,sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_191])]) ).
fof(f963,plain,
( sz10 = sdtpldt0(sz10,sdtmndt0(sz10,sz10))
| ~ spl1_6
| ~ spl1_75 ),
inference(resolution,[],[f906,f166]) ).
fof(f3532,plain,
( spl1_190
| ~ spl1_5
| ~ spl1_75 ),
inference(avatar_split_clause,[],[f962,f905,f159,f3529]) ).
fof(f3529,plain,
( spl1_190
<=> sz00 = sdtpldt0(sz00,sdtmndt0(sz00,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_190])]) ).
fof(f962,plain,
( sz00 = sdtpldt0(sz00,sdtmndt0(sz00,sz00))
| ~ spl1_5
| ~ spl1_75 ),
inference(resolution,[],[f906,f161]) ).
fof(f3527,plain,
( ~ spl1_189
| spl1_57
| ~ spl1_181 ),
inference(avatar_split_clause,[],[f3343,f3235,f677,f3524]) ).
fof(f3524,plain,
( spl1_189
<=> xn = sdtasdt0(xm,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_189])]) ).
fof(f3343,plain,
( xn != sdtasdt0(xm,xn)
| spl1_57
| ~ spl1_181 ),
inference(superposition,[],[f679,f3237]) ).
fof(f679,plain,
( xn != sdtasdt0(xn,xm)
| spl1_57 ),
inference(avatar_component_clause,[],[f677]) ).
fof(f3522,plain,
( spl1_188
| ~ spl1_6
| ~ spl1_74 ),
inference(avatar_split_clause,[],[f955,f901,f164,f3519]) ).
fof(f3519,plain,
( spl1_188
<=> sz10 = sdtpldt0(sz10,sK0(sz10,sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_188])]) ).
fof(f955,plain,
( sz10 = sdtpldt0(sz10,sK0(sz10,sz10))
| ~ spl1_6
| ~ spl1_74 ),
inference(resolution,[],[f902,f166]) ).
fof(f3517,plain,
( spl1_187
| ~ spl1_5
| ~ spl1_74 ),
inference(avatar_split_clause,[],[f954,f901,f159,f3514]) ).
fof(f3514,plain,
( spl1_187
<=> sz00 = sdtpldt0(sz00,sK0(sz00,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_187])]) ).
fof(f954,plain,
( sz00 = sdtpldt0(sz00,sK0(sz00,sz00))
| ~ spl1_5
| ~ spl1_74 ),
inference(resolution,[],[f902,f161]) ).
fof(f3481,plain,
( ~ spl1_5
| ~ spl1_6
| spl1_186
| ~ spl1_29
| ~ spl1_63 ),
inference(avatar_split_clause,[],[f804,f717,f328,f3478,f164,f159]) ).
fof(f3478,plain,
( spl1_186
<=> sdtlseqdt0(sz00,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_186])]) ).
fof(f804,plain,
( sdtlseqdt0(sz00,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ spl1_29
| ~ spl1_63 ),
inference(duplicate_literal_removal,[],[f795]) ).
fof(f795,plain,
( sdtlseqdt0(sz00,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ spl1_29
| ~ spl1_63 ),
inference(superposition,[],[f329,f719]) ).
fof(f3258,plain,
( spl1_185
| ~ spl1_4
| ~ spl1_75 ),
inference(avatar_split_clause,[],[f968,f905,f154,f3255]) ).
fof(f3255,plain,
( spl1_185
<=> xn = sdtpldt0(xn,sdtmndt0(xn,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_185])]) ).
fof(f968,plain,
( xn = sdtpldt0(xn,sdtmndt0(xn,xn))
| ~ spl1_4
| ~ spl1_75 ),
inference(resolution,[],[f906,f156]) ).
fof(f3253,plain,
( spl1_184
| ~ spl1_3
| ~ spl1_75 ),
inference(avatar_split_clause,[],[f967,f905,f149,f3250]) ).
fof(f3250,plain,
( spl1_184
<=> xm = sdtpldt0(xm,sdtmndt0(xm,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_184])]) ).
fof(f967,plain,
( xm = sdtpldt0(xm,sdtmndt0(xm,xm))
| ~ spl1_3
| ~ spl1_75 ),
inference(resolution,[],[f906,f151]) ).
fof(f3248,plain,
( spl1_183
| ~ spl1_4
| ~ spl1_74 ),
inference(avatar_split_clause,[],[f960,f901,f154,f3245]) ).
fof(f3245,plain,
( spl1_183
<=> xn = sdtpldt0(xn,sK0(xn,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_183])]) ).
fof(f960,plain,
( xn = sdtpldt0(xn,sK0(xn,xn))
| ~ spl1_4
| ~ spl1_74 ),
inference(resolution,[],[f902,f156]) ).
fof(f3243,plain,
( spl1_182
| ~ spl1_3
| ~ spl1_74 ),
inference(avatar_split_clause,[],[f959,f901,f149,f3240]) ).
fof(f959,plain,
( xm = sdtpldt0(xm,sK0(xm,xm))
| ~ spl1_3
| ~ spl1_74 ),
inference(resolution,[],[f902,f151]) ).
fof(f3238,plain,
( spl1_181
| ~ spl1_4
| ~ spl1_67 ),
inference(avatar_split_clause,[],[f870,f834,f154,f3235]) ).
fof(f3233,plain,
( spl1_180
| ~ spl1_6
| ~ spl1_66 ),
inference(avatar_split_clause,[],[f856,f830,f164,f3230]) ).
fof(f3206,plain,
( ~ spl1_4
| ~ spl1_102
| spl1_179
| spl1_2
| ~ spl1_4
| ~ spl1_67
| ~ spl1_96 ),
inference(avatar_split_clause,[],[f1274,f1161,f834,f154,f144,f3203,f1324,f154]) ).
fof(f3203,plain,
( spl1_179
<=> xn = sdtpldt0(sdtasdt0(xm,xn),sdtmndt0(xn,sdtasdt0(xm,xn))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_179])]) ).
fof(f1274,plain,
( xn = sdtpldt0(sdtasdt0(xm,xn),sdtmndt0(xn,sdtasdt0(xm,xn)))
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ aNaturalNumber0(xn)
| spl1_2
| ~ spl1_4
| ~ spl1_67
| ~ spl1_96 ),
inference(forward_demodulation,[],[f1273,f870]) ).
fof(f1273,plain,
( ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ aNaturalNumber0(xn)
| xn = sdtpldt0(sdtasdt0(xn,xm),sdtmndt0(xn,sdtasdt0(xn,xm)))
| spl1_2
| ~ spl1_4
| ~ spl1_67
| ~ spl1_96 ),
inference(forward_demodulation,[],[f1254,f870]) ).
fof(f1254,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| xn = sdtpldt0(sdtasdt0(xn,xm),sdtmndt0(xn,sdtasdt0(xn,xm)))
| spl1_2
| ~ spl1_96 ),
inference(resolution,[],[f1162,f146]) ).
fof(f3053,plain,
( spl1_178
| ~ spl1_31
| ~ spl1_50 ),
inference(avatar_split_clause,[],[f521,f512,f347,f3051]) ).
fof(f3051,plain,
( spl1_178
<=> ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| X0 = X1
| sz00 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X1,X2) = sdtpldt0(sdtasdt0(X0,X2),sK0(sdtasdt0(X0,X2),sdtasdt0(X1,X2)))
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_178])]) ).
fof(f521,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| X0 = X1
| sz00 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X1,X2) = sdtpldt0(sdtasdt0(X0,X2),sK0(sdtasdt0(X0,X2),sdtasdt0(X1,X2)))
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X2)) )
| ~ spl1_31
| ~ spl1_50 ),
inference(resolution,[],[f513,f348]) ).
fof(f3049,plain,
( spl1_177
| ~ spl1_32
| ~ spl1_50 ),
inference(avatar_split_clause,[],[f520,f512,f351,f3047]) ).
fof(f3047,plain,
( spl1_177
<=> ! [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,[spl1_177])]) ).
fof(f520,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)) )
| ~ spl1_32
| ~ spl1_50 ),
inference(resolution,[],[f513,f352]) ).
fof(f3045,plain,
( spl1_176
| ~ spl1_31
| ~ spl1_49 ),
inference(avatar_split_clause,[],[f517,f508,f347,f3043]) ).
fof(f3043,plain,
( spl1_176
<=> ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| X0 = X1
| sz00 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X2,X1) = sdtpldt0(sdtasdt0(X2,X0),sK0(sdtasdt0(X2,X0),sdtasdt0(X2,X1)))
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_176])]) ).
fof(f517,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| X0 = X1
| sz00 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X2,X1) = sdtpldt0(sdtasdt0(X2,X0),sK0(sdtasdt0(X2,X0),sdtasdt0(X2,X1)))
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X2,X0)) )
| ~ spl1_31
| ~ spl1_49 ),
inference(resolution,[],[f509,f348]) ).
fof(f3041,plain,
( spl1_175
| ~ spl1_32
| ~ spl1_49 ),
inference(avatar_split_clause,[],[f516,f508,f351,f3039]) ).
fof(f3039,plain,
( spl1_175
<=> ! [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,[spl1_175])]) ).
fof(f516,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)) )
| ~ spl1_32
| ~ spl1_49 ),
inference(resolution,[],[f509,f352]) ).
fof(f2888,plain,
( spl1_174
| ~ spl1_28
| ~ spl1_50 ),
inference(avatar_split_clause,[],[f522,f512,f324,f2886]) ).
fof(f2886,plain,
( spl1_174
<=> ! [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,[spl1_174])]) ).
fof(f324,plain,
( spl1_28
<=> ! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_28])]) ).
fof(f522,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)) )
| ~ spl1_28
| ~ spl1_50 ),
inference(resolution,[],[f513,f325]) ).
fof(f325,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl1_28 ),
inference(avatar_component_clause,[],[f324]) ).
fof(f2884,plain,
( spl1_173
| ~ spl1_28
| ~ spl1_49 ),
inference(avatar_split_clause,[],[f518,f508,f324,f2882]) ).
fof(f2882,plain,
( spl1_173
<=> ! [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,[spl1_173])]) ).
fof(f518,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)) )
| ~ spl1_28
| ~ spl1_49 ),
inference(resolution,[],[f509,f325]) ).
fof(f2730,plain,
( spl1_172
| ~ spl1_34
| ~ spl1_50 ),
inference(avatar_split_clause,[],[f519,f512,f379,f2728]) ).
fof(f2728,plain,
( spl1_172
<=> ! [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,[spl1_172])]) ).
fof(f519,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) )
| ~ spl1_34
| ~ spl1_50 ),
inference(resolution,[],[f513,f380]) ).
fof(f2698,plain,
( spl1_171
| ~ spl1_34
| ~ spl1_49 ),
inference(avatar_split_clause,[],[f515,f508,f379,f2696]) ).
fof(f2696,plain,
( spl1_171
<=> ! [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,[spl1_171])]) ).
fof(f515,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) )
| ~ spl1_34
| ~ spl1_49 ),
inference(resolution,[],[f509,f380]) ).
fof(f2694,plain,
( spl1_170
| ~ spl1_31
| ~ spl1_43 ),
inference(avatar_split_clause,[],[f472,f446,f347,f2692]) ).
fof(f2692,plain,
( spl1_170
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X2,X0) = sdtpldt0(sdtpldt0(X1,X0),sK0(sdtpldt0(X1,X0),sdtpldt0(X2,X0)))
| ~ aNaturalNumber0(sdtpldt0(X2,X0))
| ~ aNaturalNumber0(sdtpldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_170])]) ).
fof(f472,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X2,X0) = sdtpldt0(sdtpldt0(X1,X0),sK0(sdtpldt0(X1,X0),sdtpldt0(X2,X0)))
| ~ aNaturalNumber0(sdtpldt0(X2,X0))
| ~ aNaturalNumber0(sdtpldt0(X1,X0)) )
| ~ spl1_31
| ~ spl1_43 ),
inference(resolution,[],[f447,f348]) ).
fof(f2690,plain,
( spl1_169
| ~ spl1_32
| ~ spl1_43 ),
inference(avatar_split_clause,[],[f471,f446,f351,f2688]) ).
fof(f2688,plain,
( spl1_169
<=> ! [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,[spl1_169])]) ).
fof(f471,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)) )
| ~ spl1_32
| ~ spl1_43 ),
inference(resolution,[],[f447,f352]) ).
fof(f2686,plain,
( spl1_168
| ~ spl1_31
| ~ spl1_42 ),
inference(avatar_split_clause,[],[f468,f442,f347,f2684]) ).
fof(f2684,plain,
( spl1_168
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X0,X2) = sdtpldt0(sdtpldt0(X0,X1),sK0(sdtpldt0(X0,X1),sdtpldt0(X0,X2)))
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_168])]) ).
fof(f468,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X0,X2) = sdtpldt0(sdtpldt0(X0,X1),sK0(sdtpldt0(X0,X1),sdtpldt0(X0,X2)))
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) )
| ~ spl1_31
| ~ spl1_42 ),
inference(resolution,[],[f443,f348]) ).
fof(f2682,plain,
( spl1_167
| ~ spl1_32
| ~ spl1_42 ),
inference(avatar_split_clause,[],[f467,f442,f351,f2680]) ).
fof(f2680,plain,
( spl1_167
<=> ! [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,[spl1_167])]) ).
fof(f467,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)) )
| ~ spl1_32
| ~ spl1_42 ),
inference(resolution,[],[f443,f352]) ).
fof(f2588,plain,
( spl1_166
| ~ spl1_28
| ~ spl1_43 ),
inference(avatar_split_clause,[],[f473,f446,f324,f2586]) ).
fof(f2586,plain,
( spl1_166
<=> ! [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,[spl1_166])]) ).
fof(f473,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)) )
| ~ spl1_28
| ~ spl1_43 ),
inference(resolution,[],[f447,f325]) ).
fof(f2584,plain,
( spl1_165
| ~ spl1_28
| ~ spl1_42 ),
inference(avatar_split_clause,[],[f469,f442,f324,f2582]) ).
fof(f2582,plain,
( spl1_165
<=> ! [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,[spl1_165])]) ).
fof(f469,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)) )
| ~ spl1_28
| ~ spl1_42 ),
inference(resolution,[],[f443,f325]) ).
fof(f2546,plain,
( spl1_164
| ~ spl1_15
| ~ spl1_102 ),
inference(avatar_split_clause,[],[f1650,f1324,f202,f2543]) ).
fof(f2543,plain,
( spl1_164
<=> sdtasdt0(xm,xn) = sdtasdt0(sz10,sdtasdt0(xm,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_164])]) ).
fof(f202,plain,
( spl1_15
<=> ! [X0] :
( sdtasdt0(sz10,X0) = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_15])]) ).
fof(f1650,plain,
( sdtasdt0(xm,xn) = sdtasdt0(sz10,sdtasdt0(xm,xn))
| ~ spl1_15
| ~ spl1_102 ),
inference(resolution,[],[f1325,f203]) ).
fof(f203,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sz10,X0) = X0 )
| ~ spl1_15 ),
inference(avatar_component_clause,[],[f202]) ).
fof(f2507,plain,
( spl1_163
| ~ spl1_34
| ~ spl1_43 ),
inference(avatar_split_clause,[],[f470,f446,f379,f2505]) ).
fof(f2505,plain,
( spl1_163
<=> ! [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,[spl1_163])]) ).
fof(f470,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) )
| ~ spl1_34
| ~ spl1_43 ),
inference(resolution,[],[f447,f380]) ).
fof(f2503,plain,
( spl1_162
| ~ spl1_34
| ~ spl1_42 ),
inference(avatar_split_clause,[],[f466,f442,f379,f2501]) ).
fof(f2501,plain,
( spl1_162
<=> ! [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,[spl1_162])]) ).
fof(f466,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) )
| ~ spl1_34
| ~ spl1_42 ),
inference(resolution,[],[f443,f380]) ).
fof(f2411,plain,
( spl1_161
| ~ spl1_23
| ~ spl1_46 ),
inference(avatar_split_clause,[],[f489,f459,f275,f2409]) ).
fof(f2409,plain,
( spl1_161
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(sdtpldt0(X0,sK0(X1,X2)),X3) = sdtpldt0(sdtasdt0(X0,X3),sdtasdt0(sK0(X1,X2),X3))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_161])]) ).
fof(f459,plain,
( spl1_46
<=> ! [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,[spl1_46])]) ).
fof(f489,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(sdtpldt0(X0,sK0(X1,X2)),X3) = sdtpldt0(sdtasdt0(X0,X3),sdtasdt0(sK0(X1,X2),X3))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| ~ spl1_23
| ~ spl1_46 ),
inference(resolution,[],[f460,f276]) ).
fof(f460,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl1_46 ),
inference(avatar_component_clause,[],[f459]) ).
fof(f2407,plain,
( spl1_160
| ~ spl1_24
| ~ spl1_46 ),
inference(avatar_split_clause,[],[f486,f459,f279,f2405]) ).
fof(f2405,plain,
( spl1_160
<=> ! [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,[spl1_160])]) ).
fof(f486,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) )
| ~ spl1_24
| ~ spl1_46 ),
inference(resolution,[],[f460,f280]) ).
fof(f2403,plain,
( spl1_159
| ~ spl1_23
| ~ spl1_45 ),
inference(avatar_split_clause,[],[f481,f455,f275,f2401]) ).
fof(f2401,plain,
( spl1_159
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sK0(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK0(X2,X3)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X3)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_159])]) ).
fof(f455,plain,
( spl1_45
<=> ! [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,[spl1_45])]) ).
fof(f481,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sK0(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK0(X2,X3)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X3)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) )
| ~ spl1_23
| ~ spl1_45 ),
inference(resolution,[],[f456,f276]) ).
fof(f456,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl1_45 ),
inference(avatar_component_clause,[],[f455]) ).
fof(f2399,plain,
( spl1_158
| ~ spl1_14
| ~ spl1_102 ),
inference(avatar_split_clause,[],[f1649,f1324,f198,f2396]) ).
fof(f198,plain,
( spl1_14
<=> ! [X0] :
( sdtasdt0(X0,sz10) = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_14])]) ).
fof(f1649,plain,
( sdtasdt0(xm,xn) = sdtasdt0(sdtasdt0(xm,xn),sz10)
| ~ spl1_14
| ~ spl1_102 ),
inference(resolution,[],[f1325,f199]) ).
fof(f199,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sz10) = X0 )
| ~ spl1_14 ),
inference(avatar_component_clause,[],[f198]) ).
fof(f2394,plain,
( spl1_157
| ~ spl1_24
| ~ spl1_45 ),
inference(avatar_split_clause,[],[f478,f455,f279,f2392]) ).
fof(f2392,plain,
( spl1_157
<=> ! [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,[spl1_157])]) ).
fof(f478,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) )
| ~ spl1_24
| ~ spl1_45 ),
inference(resolution,[],[f456,f280]) ).
fof(f2302,plain,
( spl1_156
| ~ spl1_23
| ~ spl1_39 ),
inference(avatar_split_clause,[],[f432,f414,f275,f2300]) ).
fof(f2300,plain,
( spl1_156
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sK0(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sK0(X2,X3)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X3)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_156])]) ).
fof(f414,plain,
( spl1_39
<=> ! [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,[spl1_39])]) ).
fof(f432,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sK0(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sK0(X2,X3)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X3)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) )
| ~ spl1_23
| ~ spl1_39 ),
inference(resolution,[],[f415,f276]) ).
fof(f415,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl1_39 ),
inference(avatar_component_clause,[],[f414]) ).
fof(f2298,plain,
( spl1_155
| ~ spl1_24
| ~ spl1_39 ),
inference(avatar_split_clause,[],[f429,f414,f279,f2296]) ).
fof(f2296,plain,
( spl1_155
<=> ! [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,[spl1_155])]) ).
fof(f429,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) )
| ~ spl1_24
| ~ spl1_39 ),
inference(resolution,[],[f415,f280]) ).
fof(f2294,plain,
( spl1_154
| ~ spl1_23
| ~ spl1_38 ),
inference(avatar_split_clause,[],[f424,f410,f275,f2292]) ).
fof(f2292,plain,
( spl1_154
<=> ! [X0,X3,X2,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sK0(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sK0(X2,X3)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X3)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_154])]) ).
fof(f410,plain,
( spl1_38
<=> ! [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,[spl1_38])]) ).
fof(f424,plain,
( ! [X2,X3,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sK0(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sK0(X2,X3)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X3)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) )
| ~ spl1_23
| ~ spl1_38 ),
inference(resolution,[],[f411,f276]) ).
fof(f411,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl1_38 ),
inference(avatar_component_clause,[],[f410]) ).
fof(f2290,plain,
( spl1_153
| ~ spl1_24
| ~ spl1_38 ),
inference(avatar_split_clause,[],[f421,f410,f279,f2288]) ).
fof(f2288,plain,
( spl1_153
<=> ! [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,[spl1_153])]) ).
fof(f421,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) )
| ~ spl1_24
| ~ spl1_38 ),
inference(resolution,[],[f411,f280]) ).
fof(f2277,plain,
( spl1_152
| ~ spl1_13
| ~ spl1_102 ),
inference(avatar_split_clause,[],[f1648,f1324,f194,f2274]) ).
fof(f2274,plain,
( spl1_152
<=> sdtasdt0(xm,xn) = sdtpldt0(sz00,sdtasdt0(xm,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_152])]) ).
fof(f194,plain,
( spl1_13
<=> ! [X0] :
( sdtpldt0(sz00,X0) = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_13])]) ).
fof(f1648,plain,
( sdtasdt0(xm,xn) = sdtpldt0(sz00,sdtasdt0(xm,xn))
| ~ spl1_13
| ~ spl1_102 ),
inference(resolution,[],[f1325,f195]) ).
fof(f195,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sz00,X0) = X0 )
| ~ spl1_13 ),
inference(avatar_component_clause,[],[f194]) ).
fof(f2245,plain,
( spl1_151
| ~ spl1_17
| ~ spl1_46 ),
inference(avatar_split_clause,[],[f485,f459,f234,f2243]) ).
fof(f2243,plain,
( spl1_151
<=> ! [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,[spl1_151])]) ).
fof(f485,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) )
| ~ spl1_17
| ~ spl1_46 ),
inference(resolution,[],[f460,f235]) ).
fof(f2241,plain,
( spl1_150
| ~ spl1_16
| ~ spl1_46 ),
inference(avatar_split_clause,[],[f484,f459,f230,f2239]) ).
fof(f2239,plain,
( spl1_150
<=> ! [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,[spl1_150])]) ).
fof(f484,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) )
| ~ spl1_16
| ~ spl1_46 ),
inference(resolution,[],[f460,f231]) ).
fof(f2237,plain,
( spl1_149
| ~ spl1_17
| ~ spl1_45 ),
inference(avatar_split_clause,[],[f477,f455,f234,f2235]) ).
fof(f2235,plain,
( spl1_149
<=> ! [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,[spl1_149])]) ).
fof(f477,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) )
| ~ spl1_17
| ~ spl1_45 ),
inference(resolution,[],[f456,f235]) ).
fof(f2233,plain,
( spl1_148
| ~ spl1_16
| ~ spl1_45 ),
inference(avatar_split_clause,[],[f476,f455,f230,f2231]) ).
fof(f2231,plain,
( spl1_148
<=> ! [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,[spl1_148])]) ).
fof(f476,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) )
| ~ spl1_16
| ~ spl1_45 ),
inference(resolution,[],[f456,f231]) ).
fof(f2202,plain,
( spl1_147
| ~ spl1_12
| ~ spl1_102 ),
inference(avatar_split_clause,[],[f1647,f1324,f190,f2199]) ).
fof(f2199,plain,
( spl1_147
<=> sdtasdt0(xm,xn) = sdtpldt0(sdtasdt0(xm,xn),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_147])]) ).
fof(f190,plain,
( spl1_12
<=> ! [X0] :
( sdtpldt0(X0,sz00) = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_12])]) ).
fof(f1647,plain,
( sdtasdt0(xm,xn) = sdtpldt0(sdtasdt0(xm,xn),sz00)
| ~ spl1_12
| ~ spl1_102 ),
inference(resolution,[],[f1325,f191]) ).
fof(f191,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sz00) = X0 )
| ~ spl1_12 ),
inference(avatar_component_clause,[],[f190]) ).
fof(f2188,plain,
( spl1_146
| ~ spl1_17
| ~ spl1_39 ),
inference(avatar_split_clause,[],[f428,f414,f234,f2186]) ).
fof(f428,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) )
| ~ spl1_17
| ~ spl1_39 ),
inference(resolution,[],[f415,f235]) ).
fof(f2184,plain,
( spl1_145
| ~ spl1_16
| ~ spl1_39 ),
inference(avatar_split_clause,[],[f427,f414,f230,f2182]) ).
fof(f427,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) )
| ~ spl1_16
| ~ spl1_39 ),
inference(resolution,[],[f415,f231]) ).
fof(f2180,plain,
( spl1_144
| ~ spl1_17
| ~ spl1_38 ),
inference(avatar_split_clause,[],[f420,f410,f234,f2178]) ).
fof(f420,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) )
| ~ spl1_17
| ~ spl1_38 ),
inference(resolution,[],[f411,f235]) ).
fof(f2176,plain,
( spl1_143
| ~ spl1_16
| ~ spl1_38 ),
inference(avatar_split_clause,[],[f419,f410,f230,f2174]) ).
fof(f419,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) )
| ~ spl1_16
| ~ spl1_38 ),
inference(resolution,[],[f411,f231]) ).
fof(f2084,plain,
( spl1_142
| ~ spl1_22
| ~ spl1_24 ),
inference(avatar_split_clause,[],[f314,f279,f271,f2082]) ).
fof(f271,plain,
( spl1_22
<=> ! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_22])]) ).
fof(f314,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X2,sdtmndt0(X1,X0)) = sdtasdt0(sdtmndt0(X1,X0),X2)
| ~ aNaturalNumber0(X2) )
| ~ spl1_22
| ~ spl1_24 ),
inference(resolution,[],[f280,f272]) ).
fof(f272,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl1_22 ),
inference(avatar_component_clause,[],[f271]) ).
fof(f2070,plain,
( spl1_141
| ~ spl1_21
| ~ spl1_24 ),
inference(avatar_split_clause,[],[f313,f279,f267,f2068]) ).
fof(f267,plain,
( spl1_21
<=> ! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_21])]) ).
fof(f313,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X2,sdtmndt0(X1,X0)) = sdtpldt0(sdtmndt0(X1,X0),X2)
| ~ aNaturalNumber0(X2) )
| ~ spl1_21
| ~ spl1_24 ),
inference(resolution,[],[f280,f268]) ).
fof(f268,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl1_21 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f2066,plain,
( spl1_140
| ~ spl1_22
| ~ spl1_23 ),
inference(avatar_split_clause,[],[f306,f275,f271,f2064]) ).
fof(f306,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X2,sK0(X0,X1)) = sdtasdt0(sK0(X0,X1),X2)
| ~ aNaturalNumber0(X2) )
| ~ spl1_22
| ~ spl1_23 ),
inference(resolution,[],[f276,f272]) ).
fof(f2062,plain,
( spl1_139
| ~ spl1_21
| ~ spl1_23 ),
inference(avatar_split_clause,[],[f305,f275,f267,f2060]) ).
fof(f305,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X2,sK0(X0,X1)) = sdtpldt0(sK0(X0,X1),X2)
| ~ aNaturalNumber0(X2) )
| ~ spl1_21
| ~ spl1_23 ),
inference(resolution,[],[f276,f268]) ).
fof(f2026,plain,
( spl1_138
| ~ spl1_29
| ~ spl1_32 ),
inference(avatar_split_clause,[],[f370,f351,f328,f2024]) ).
fof(f370,plain,
( ! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X0,sdtmndt0(sdtpldt0(X0,X1),X0))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl1_29
| ~ spl1_32 ),
inference(duplicate_literal_removal,[],[f367]) ).
fof(f367,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) )
| ~ spl1_29
| ~ spl1_32 ),
inference(resolution,[],[f352,f329]) ).
fof(f2022,plain,
( spl1_137
| ~ spl1_29
| ~ spl1_31 ),
inference(avatar_split_clause,[],[f360,f347,f328,f2020]) ).
fof(f360,plain,
( ! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X0,sK0(X0,sdtpldt0(X0,X1)))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl1_29
| ~ spl1_31 ),
inference(duplicate_literal_removal,[],[f357]) ).
fof(f357,plain,
( ! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X0,sK0(X0,sdtpldt0(X0,X1)))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0) )
| ~ spl1_29
| ~ spl1_31 ),
inference(resolution,[],[f348,f329]) ).
fof(f1948,plain,
( spl1_136
| ~ spl1_29
| ~ spl1_34 ),
inference(avatar_split_clause,[],[f388,f379,f328,f1946]) ).
fof(f388,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(X0,sdtpldt0(X1,X2))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2) )
| ~ spl1_29
| ~ spl1_34 ),
inference(duplicate_literal_removal,[],[f385]) ).
fof(f385,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) )
| ~ spl1_29
| ~ spl1_34 ),
inference(resolution,[],[f380,f329]) ).
fof(f1922,plain,
( ~ spl1_6
| spl1_135
| ~ spl1_20
| ~ spl1_34 ),
inference(avatar_split_clause,[],[f387,f379,f263,f1920,f164]) ).
fof(f1920,plain,
( spl1_135
<=> ! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sz00 = X1
| sz10 = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X0,sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_135])]) ).
fof(f387,plain,
( ! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| sz10 = X1
| sz00 = X1 )
| ~ spl1_20
| ~ spl1_34 ),
inference(duplicate_literal_removal,[],[f386]) ).
fof(f386,plain,
( ! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| sz10 = X1
| sz00 = X1
| ~ aNaturalNumber0(X1) )
| ~ spl1_20
| ~ spl1_34 ),
inference(resolution,[],[f380,f264]) ).
fof(f1918,plain,
( spl1_134
| ~ spl1_28
| ~ spl1_29 ),
inference(avatar_split_clause,[],[f340,f328,f324,f1916]) ).
fof(f340,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X1,X0))
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,X0) = X1
| ~ sdtlseqdt0(sdtpldt0(X1,X0),X1) )
| ~ spl1_28
| ~ spl1_29 ),
inference(duplicate_literal_removal,[],[f339]) ).
fof(f339,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)) )
| ~ spl1_28
| ~ spl1_29 ),
inference(resolution,[],[f329,f325]) ).
fof(f1834,plain,
( spl1_133
| ~ spl1_11
| ~ spl1_102 ),
inference(avatar_split_clause,[],[f1646,f1324,f186,f1831]) ).
fof(f1831,plain,
( spl1_133
<=> sz00 = sdtasdt0(sz00,sdtasdt0(xm,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_133])]) ).
fof(f186,plain,
( spl1_11
<=> ! [X0] :
( sz00 = sdtasdt0(sz00,X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_11])]) ).
fof(f1646,plain,
( sz00 = sdtasdt0(sz00,sdtasdt0(xm,xn))
| ~ spl1_11
| ~ spl1_102 ),
inference(resolution,[],[f1325,f187]) ).
fof(f187,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,X0) )
| ~ spl1_11 ),
inference(avatar_component_clause,[],[f186]) ).
fof(f1820,plain,
( spl1_132
| ~ spl1_6
| ~ spl1_46 ),
inference(avatar_split_clause,[],[f483,f459,f164,f1818]) ).
fof(f483,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,sz10),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sz10,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl1_6
| ~ spl1_46 ),
inference(resolution,[],[f460,f166]) ).
fof(f1816,plain,
( spl1_131
| ~ spl1_5
| ~ spl1_46 ),
inference(avatar_split_clause,[],[f482,f459,f159,f1814]) ).
fof(f482,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,sz00),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sz00,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl1_5
| ~ spl1_46 ),
inference(resolution,[],[f460,f161]) ).
fof(f1812,plain,
( spl1_130
| ~ spl1_6
| ~ spl1_45 ),
inference(avatar_split_clause,[],[f475,f455,f164,f1810]) ).
fof(f475,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sz10)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl1_6
| ~ spl1_45 ),
inference(resolution,[],[f456,f166]) ).
fof(f1808,plain,
( spl1_129
| ~ spl1_5
| ~ spl1_45 ),
inference(avatar_split_clause,[],[f474,f455,f159,f1806]) ).
fof(f474,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sz00)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz00))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl1_5
| ~ spl1_45 ),
inference(resolution,[],[f456,f161]) ).
fof(f1795,plain,
( ~ spl1_6
| spl1_128
| ~ spl1_20
| ~ spl1_32 ),
inference(avatar_split_clause,[],[f369,f351,f263,f1793,f164]) ).
fof(f369,plain,
( ! [X0] :
( sdtpldt0(sz10,sdtmndt0(X0,sz10)) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10)
| sz10 = X0
| sz00 = X0 )
| ~ spl1_20
| ~ spl1_32 ),
inference(duplicate_literal_removal,[],[f368]) ).
fof(f368,plain,
( ! [X0] :
( sdtpldt0(sz10,sdtmndt0(X0,sz10)) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl1_20
| ~ spl1_32 ),
inference(resolution,[],[f352,f264]) ).
fof(f1782,plain,
( ~ spl1_6
| spl1_127
| ~ spl1_20
| ~ spl1_31 ),
inference(avatar_split_clause,[],[f359,f347,f263,f1780,f164]) ).
fof(f359,plain,
( ! [X0] :
( sdtpldt0(sz10,sK0(sz10,X0)) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10)
| sz10 = X0
| sz00 = X0 )
| ~ spl1_20
| ~ spl1_31 ),
inference(duplicate_literal_removal,[],[f358]) ).
fof(f358,plain,
( ! [X0] :
( sdtpldt0(sz10,sK0(sz10,X0)) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl1_20
| ~ spl1_31 ),
inference(resolution,[],[f348,f264]) ).
fof(f1778,plain,
( spl1_126
| ~ spl1_17
| ~ spl1_22 ),
inference(avatar_split_clause,[],[f291,f271,f234,f1776]) ).
fof(f291,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X1,X2),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| ~ spl1_17
| ~ spl1_22 ),
inference(resolution,[],[f272,f235]) ).
fof(f1774,plain,
( spl1_125
| ~ spl1_10
| ~ spl1_102 ),
inference(avatar_split_clause,[],[f1645,f1324,f182,f1771]) ).
fof(f1771,plain,
( spl1_125
<=> sz00 = sdtasdt0(sdtasdt0(xm,xn),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_125])]) ).
fof(f182,plain,
( spl1_10
<=> ! [X0] :
( sz00 = sdtasdt0(X0,sz00)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_10])]) ).
fof(f1645,plain,
( sz00 = sdtasdt0(sdtasdt0(xm,xn),sz00)
| ~ spl1_10
| ~ spl1_102 ),
inference(resolution,[],[f1325,f183]) ).
fof(f183,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(X0,sz00) )
| ~ spl1_10 ),
inference(avatar_component_clause,[],[f182]) ).
fof(f1769,plain,
( spl1_124
| ~ spl1_16
| ~ spl1_22 ),
inference(avatar_split_clause,[],[f290,f271,f230,f1767]) ).
fof(f290,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtasdt0(sdtpldt0(X1,X2),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| ~ spl1_16
| ~ spl1_22 ),
inference(resolution,[],[f272,f231]) ).
fof(f1765,plain,
( spl1_123
| ~ spl1_17
| ~ spl1_21 ),
inference(avatar_split_clause,[],[f285,f267,f234,f1763]) ).
fof(f285,plain,
( ! [X2,X0,X1] :
( sdtpldt0(X0,sdtasdt0(X1,X2)) = sdtpldt0(sdtasdt0(X1,X2),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| ~ spl1_17
| ~ spl1_21 ),
inference(resolution,[],[f268,f235]) ).
fof(f1761,plain,
( spl1_122
| ~ spl1_16
| ~ spl1_21 ),
inference(avatar_split_clause,[],[f284,f267,f230,f1759]) ).
fof(f284,plain,
( ! [X2,X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X1,X2),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| ~ spl1_16
| ~ spl1_21 ),
inference(resolution,[],[f268,f231]) ).
fof(f1709,plain,
( spl1_121
| ~ spl1_4
| ~ spl1_46 ),
inference(avatar_split_clause,[],[f488,f459,f154,f1707]) ).
fof(f488,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,xn),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(xn,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl1_4
| ~ spl1_46 ),
inference(resolution,[],[f460,f156]) ).
fof(f1705,plain,
( spl1_120
| ~ spl1_3
| ~ spl1_46 ),
inference(avatar_split_clause,[],[f487,f459,f149,f1703]) ).
fof(f487,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,xm),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(xm,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl1_3
| ~ spl1_46 ),
inference(resolution,[],[f460,f151]) ).
fof(f1701,plain,
( spl1_119
| ~ spl1_4
| ~ spl1_45 ),
inference(avatar_split_clause,[],[f480,f455,f154,f1699]) ).
fof(f480,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xn)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xn))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl1_4
| ~ spl1_45 ),
inference(resolution,[],[f456,f156]) ).
fof(f1644,plain,
( spl1_118
| ~ spl1_3
| ~ spl1_45 ),
inference(avatar_split_clause,[],[f479,f455,f149,f1642]) ).
fof(f479,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xm)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xm))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl1_3
| ~ spl1_45 ),
inference(resolution,[],[f456,f151]) ).
fof(f1480,plain,
( spl1_117
| ~ spl1_15
| ~ spl1_24 ),
inference(avatar_split_clause,[],[f312,f279,f202,f1478]) ).
fof(f312,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtmndt0(X1,X0) = sdtasdt0(sz10,sdtmndt0(X1,X0)) )
| ~ spl1_15
| ~ spl1_24 ),
inference(resolution,[],[f280,f203]) ).
fof(f1476,plain,
( ~ spl1_3
| ~ spl1_4
| ~ spl1_17
| spl1_102 ),
inference(avatar_split_clause,[],[f1407,f1324,f234,f154,f149]) ).
fof(f1407,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ spl1_17
| spl1_102 ),
inference(resolution,[],[f1326,f235]) ).
fof(f1326,plain,
( ~ aNaturalNumber0(sdtasdt0(xm,xn))
| spl1_102 ),
inference(avatar_component_clause,[],[f1324]) ).
fof(f1475,plain,
( spl1_116
| ~ spl1_14
| ~ spl1_24 ),
inference(avatar_split_clause,[],[f311,f279,f198,f1473]) ).
fof(f311,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtmndt0(X1,X0) = sdtasdt0(sdtmndt0(X1,X0),sz10) )
| ~ spl1_14
| ~ spl1_24 ),
inference(resolution,[],[f280,f199]) ).
fof(f1471,plain,
( spl1_115
| ~ spl1_13
| ~ spl1_24 ),
inference(avatar_split_clause,[],[f310,f279,f194,f1469]) ).
fof(f310,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtmndt0(X1,X0) = sdtpldt0(sz00,sdtmndt0(X1,X0)) )
| ~ spl1_13
| ~ spl1_24 ),
inference(resolution,[],[f280,f195]) ).
fof(f1467,plain,
( spl1_114
| ~ spl1_12
| ~ spl1_24 ),
inference(avatar_split_clause,[],[f309,f279,f190,f1465]) ).
fof(f309,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtmndt0(X1,X0) = sdtpldt0(sdtmndt0(X1,X0),sz00) )
| ~ spl1_12
| ~ spl1_24 ),
inference(resolution,[],[f280,f191]) ).
fof(f1463,plain,
( spl1_113
| ~ spl1_15
| ~ spl1_23 ),
inference(avatar_split_clause,[],[f304,f275,f202,f1461]) ).
fof(f304,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK0(X0,X1) = sdtasdt0(sz10,sK0(X0,X1)) )
| ~ spl1_15
| ~ spl1_23 ),
inference(resolution,[],[f276,f203]) ).
fof(f1459,plain,
( spl1_112
| ~ spl1_14
| ~ spl1_23 ),
inference(avatar_split_clause,[],[f303,f275,f198,f1457]) ).
fof(f303,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK0(X0,X1) = sdtasdt0(sK0(X0,X1),sz10) )
| ~ spl1_14
| ~ spl1_23 ),
inference(resolution,[],[f276,f199]) ).
fof(f1455,plain,
( spl1_111
| ~ spl1_13
| ~ spl1_23 ),
inference(avatar_split_clause,[],[f302,f275,f194,f1453]) ).
fof(f302,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK0(X0,X1) = sdtpldt0(sz00,sK0(X0,X1)) )
| ~ spl1_13
| ~ spl1_23 ),
inference(resolution,[],[f276,f195]) ).
fof(f1451,plain,
( spl1_110
| ~ spl1_12
| ~ spl1_23 ),
inference(avatar_split_clause,[],[f301,f275,f190,f1449]) ).
fof(f301,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK0(X0,X1) = sdtpldt0(sK0(X0,X1),sz00) )
| ~ spl1_12
| ~ spl1_23 ),
inference(resolution,[],[f276,f191]) ).
fof(f1365,plain,
( spl1_109
| ~ spl1_29
| ~ spl1_47 ),
inference(avatar_split_clause,[],[f501,f491,f328,f1363]) ).
fof(f491,plain,
( spl1_47
<=> ! [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,[spl1_47])]) ).
fof(f501,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtmndt0(sdtpldt0(X1,X0),X1) = X0
| ~ aNaturalNumber0(sdtpldt0(X1,X0))
| ~ aNaturalNumber0(X1) )
| ~ spl1_29
| ~ spl1_47 ),
inference(duplicate_literal_removal,[],[f494]) ).
fof(f494,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) )
| ~ spl1_29
| ~ spl1_47 ),
inference(resolution,[],[f492,f329]) ).
fof(f492,plain,
( ! [X2,X0] :
( ~ sdtlseqdt0(X0,sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X2)
| sdtmndt0(sdtpldt0(X0,X2),X0) = X2
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X0) )
| ~ spl1_47 ),
inference(avatar_component_clause,[],[f491]) ).
fof(f1361,plain,
( spl1_108
| ~ spl1_6
| ~ spl1_39 ),
inference(avatar_split_clause,[],[f426,f414,f164,f1359]) ).
fof(f426,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sz10) = sdtasdt0(X0,sdtasdt0(X1,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl1_6
| ~ spl1_39 ),
inference(resolution,[],[f415,f166]) ).
fof(f1357,plain,
( spl1_107
| ~ spl1_5
| ~ spl1_39 ),
inference(avatar_split_clause,[],[f425,f414,f159,f1355]) ).
fof(f425,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sz00) = sdtasdt0(X0,sdtasdt0(X1,sz00))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl1_5
| ~ spl1_39 ),
inference(resolution,[],[f415,f161]) ).
fof(f1353,plain,
( spl1_106
| ~ spl1_6
| ~ spl1_38 ),
inference(avatar_split_clause,[],[f418,f410,f164,f1351]) ).
fof(f418,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sz10) = sdtpldt0(X0,sdtpldt0(X1,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl1_6
| ~ spl1_38 ),
inference(resolution,[],[f411,f166]) ).
fof(f1349,plain,
( spl1_105
| ~ spl1_5
| ~ spl1_38 ),
inference(avatar_split_clause,[],[f417,f410,f159,f1347]) ).
fof(f417,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(X0,sdtpldt0(X1,sz00))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl1_5
| ~ spl1_38 ),
inference(resolution,[],[f411,f161]) ).
fof(f1345,plain,
( spl1_104
| ~ spl1_19
| ~ spl1_34 ),
inference(avatar_split_clause,[],[f390,f379,f255,f1343]) ).
fof(f390,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X2) )
| ~ spl1_19
| ~ spl1_34 ),
inference(duplicate_literal_removal,[],[f383]) ).
fof(f383,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) )
| ~ spl1_19
| ~ spl1_34 ),
inference(resolution,[],[f380,f256]) ).
fof(f1331,plain,
( ~ spl1_4
| ~ spl1_102
| spl1_103
| spl1_2
| ~ spl1_4
| ~ spl1_67
| ~ spl1_95 ),
inference(avatar_split_clause,[],[f1253,f1157,f834,f154,f144,f1328,f1324,f154]) ).
fof(f1328,plain,
( spl1_103
<=> xn = sdtpldt0(sdtasdt0(xm,xn),sK0(sdtasdt0(xm,xn),xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_103])]) ).
fof(f1253,plain,
( xn = sdtpldt0(sdtasdt0(xm,xn),sK0(sdtasdt0(xm,xn),xn))
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ aNaturalNumber0(xn)
| spl1_2
| ~ spl1_4
| ~ spl1_67
| ~ spl1_95 ),
inference(forward_demodulation,[],[f1252,f870]) ).
fof(f1252,plain,
( ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ aNaturalNumber0(xn)
| xn = sdtpldt0(sdtasdt0(xn,xm),sK0(sdtasdt0(xn,xm),xn))
| spl1_2
| ~ spl1_4
| ~ spl1_67
| ~ spl1_95 ),
inference(forward_demodulation,[],[f1233,f870]) ).
fof(f1233,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| xn = sdtpldt0(sdtasdt0(xn,xm),sK0(sdtasdt0(xn,xm),xn))
| spl1_2
| ~ spl1_95 ),
inference(resolution,[],[f1158,f146]) ).
fof(f1290,plain,
( spl1_101
| ~ spl1_4
| ~ spl1_39 ),
inference(avatar_split_clause,[],[f431,f414,f154,f1288]) ).
fof(f431,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xn) = sdtasdt0(X0,sdtasdt0(X1,xn))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl1_4
| ~ spl1_39 ),
inference(resolution,[],[f415,f156]) ).
fof(f1286,plain,
( spl1_100
| ~ spl1_3
| ~ spl1_39 ),
inference(avatar_split_clause,[],[f430,f414,f149,f1284]) ).
fof(f430,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xm) = sdtasdt0(X0,sdtasdt0(X1,xm))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl1_3
| ~ spl1_39 ),
inference(resolution,[],[f415,f151]) ).
fof(f1282,plain,
( spl1_99
| ~ spl1_4
| ~ spl1_38 ),
inference(avatar_split_clause,[],[f423,f410,f154,f1280]) ).
fof(f423,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xn) = sdtpldt0(X0,sdtpldt0(X1,xn))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl1_4
| ~ spl1_38 ),
inference(resolution,[],[f411,f156]) ).
fof(f1278,plain,
( spl1_98
| ~ spl1_3
| ~ spl1_38 ),
inference(avatar_split_clause,[],[f422,f410,f149,f1276]) ).
fof(f422,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xm) = sdtpldt0(X0,sdtpldt0(X1,xm))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl1_3
| ~ spl1_38 ),
inference(resolution,[],[f411,f151]) ).
fof(f1216,plain,
( spl1_97
| ~ spl1_4
| ~ spl1_65 ),
inference(avatar_split_clause,[],[f847,f826,f154,f1213]) ).
fof(f847,plain,
( sdtpldt0(xn,xm) = sdtpldt0(xm,xn)
| ~ spl1_4
| ~ spl1_65 ),
inference(resolution,[],[f827,f156]) ).
fof(f1163,plain,
( spl1_96
| ~ spl1_19
| ~ spl1_32 ),
inference(avatar_split_clause,[],[f372,f351,f255,f1161]) ).
fof(f372,plain,
( ! [X0,X1] :
( sdtpldt0(X0,sdtmndt0(X1,X0)) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X0) )
| ~ spl1_19
| ~ spl1_32 ),
inference(duplicate_literal_removal,[],[f365]) ).
fof(f365,plain,
( ! [X0,X1] :
( sdtpldt0(X0,sdtmndt0(X1,X0)) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl1_19
| ~ spl1_32 ),
inference(resolution,[],[f352,f256]) ).
fof(f1159,plain,
( spl1_95
| ~ spl1_19
| ~ spl1_31 ),
inference(avatar_split_clause,[],[f362,f347,f255,f1157]) ).
fof(f362,plain,
( ! [X0,X1] :
( sdtpldt0(X0,sK0(X0,X1)) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X0) )
| ~ spl1_19
| ~ spl1_31 ),
inference(duplicate_literal_removal,[],[f355]) ).
fof(f355,plain,
( ! [X0,X1] :
( sdtpldt0(X0,sK0(X0,X1)) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl1_19
| ~ spl1_31 ),
inference(resolution,[],[f348,f256]) ).
fof(f1155,plain,
( spl1_94
| ~ spl1_11
| ~ spl1_24 ),
inference(avatar_split_clause,[],[f308,f279,f186,f1153]) ).
fof(f308,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtmndt0(X1,X0)) )
| ~ spl1_11
| ~ spl1_24 ),
inference(resolution,[],[f280,f187]) ).
fof(f1151,plain,
( spl1_93
| ~ spl1_10
| ~ spl1_24 ),
inference(avatar_split_clause,[],[f307,f279,f182,f1149]) ).
fof(f307,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtmndt0(X1,X0),sz00) )
| ~ spl1_10
| ~ spl1_24 ),
inference(resolution,[],[f280,f183]) ).
fof(f1147,plain,
( spl1_92
| ~ spl1_11
| ~ spl1_23 ),
inference(avatar_split_clause,[],[f300,f275,f186,f1145]) ).
fof(f300,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sK0(X0,X1)) )
| ~ spl1_11
| ~ spl1_23 ),
inference(resolution,[],[f276,f187]) ).
fof(f1143,plain,
( spl1_91
| ~ spl1_10
| ~ spl1_23 ),
inference(avatar_split_clause,[],[f299,f275,f182,f1141]) ).
fof(f299,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sK0(X0,X1),sz00) )
| ~ spl1_10
| ~ spl1_23 ),
inference(resolution,[],[f276,f183]) ).
fof(f1131,plain,
( spl1_90
| ~ spl1_6
| ~ spl1_65 ),
inference(avatar_split_clause,[],[f842,f826,f164,f1128]) ).
fof(f842,plain,
( sdtpldt0(sz10,xm) = sdtpldt0(xm,sz10)
| ~ spl1_6
| ~ spl1_65 ),
inference(resolution,[],[f827,f166]) ).
fof(f1062,plain,
( ~ spl1_6
| spl1_89
| ~ spl1_20
| ~ spl1_28 ),
inference(avatar_split_clause,[],[f335,f324,f263,f1060,f164]) ).
fof(f1060,plain,
( spl1_89
<=> ! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_89])]) ).
fof(f335,plain,
( ! [X0] :
( sz10 = X0
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| sz00 = X0 )
| ~ spl1_20
| ~ spl1_28 ),
inference(duplicate_literal_removal,[],[f334]) ).
fof(f334,plain,
( ! [X0] :
( sz10 = X0
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl1_20
| ~ spl1_28 ),
inference(resolution,[],[f325,f264]) ).
fof(f1058,plain,
( spl1_88
| ~ spl1_12
| ~ spl1_17 ),
inference(avatar_split_clause,[],[f246,f234,f190,f1056]) ).
fof(f246,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X1,X0) = sdtpldt0(sdtasdt0(X1,X0),sz00) )
| ~ spl1_12
| ~ spl1_17 ),
inference(resolution,[],[f235,f191]) ).
fof(f1050,plain,
( spl1_87
| ~ spl1_13
| ~ spl1_17 ),
inference(avatar_split_clause,[],[f245,f234,f194,f1048]) ).
fof(f245,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X1,X0) = sdtpldt0(sz00,sdtasdt0(X1,X0)) )
| ~ spl1_13
| ~ spl1_17 ),
inference(resolution,[],[f235,f195]) ).
fof(f1046,plain,
( spl1_86
| ~ spl1_14
| ~ spl1_17 ),
inference(avatar_split_clause,[],[f244,f234,f198,f1044]) ).
fof(f244,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X1,X0) = sdtasdt0(sdtasdt0(X1,X0),sz10) )
| ~ spl1_14
| ~ spl1_17 ),
inference(resolution,[],[f235,f199]) ).
fof(f1042,plain,
( spl1_85
| ~ spl1_15
| ~ spl1_17 ),
inference(avatar_split_clause,[],[f243,f234,f202,f1040]) ).
fof(f243,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X1,X0) = sdtasdt0(sz10,sdtasdt0(X1,X0)) )
| ~ spl1_15
| ~ spl1_17 ),
inference(resolution,[],[f235,f203]) ).
fof(f1038,plain,
( spl1_84
| ~ spl1_12
| ~ spl1_16 ),
inference(avatar_split_clause,[],[f240,f230,f190,f1036]) ).
fof(f240,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,X0) = sdtpldt0(sdtpldt0(X1,X0),sz00) )
| ~ spl1_12
| ~ spl1_16 ),
inference(resolution,[],[f231,f191]) ).
fof(f1034,plain,
( spl1_83
| ~ spl1_13
| ~ spl1_16 ),
inference(avatar_split_clause,[],[f239,f230,f194,f1032]) ).
fof(f239,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,X0) = sdtpldt0(sz00,sdtpldt0(X1,X0)) )
| ~ spl1_13
| ~ spl1_16 ),
inference(resolution,[],[f231,f195]) ).
fof(f1030,plain,
( spl1_82
| ~ spl1_14
| ~ spl1_16 ),
inference(avatar_split_clause,[],[f238,f230,f198,f1028]) ).
fof(f238,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,X0) = sdtasdt0(sdtpldt0(X1,X0),sz10) )
| ~ spl1_14
| ~ spl1_16 ),
inference(resolution,[],[f231,f199]) ).
fof(f1026,plain,
( spl1_81
| ~ spl1_15
| ~ spl1_16 ),
inference(avatar_split_clause,[],[f237,f230,f202,f1024]) ).
fof(f237,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,X0) = sdtasdt0(sz10,sdtpldt0(X1,X0)) )
| ~ spl1_15
| ~ spl1_16 ),
inference(resolution,[],[f231,f203]) ).
fof(f998,plain,
( ~ spl1_5
| ~ spl1_4
| spl1_80
| ~ spl1_29
| ~ spl1_52 ),
inference(avatar_split_clause,[],[f645,f529,f328,f995,f154,f159]) ).
fof(f995,plain,
( spl1_80
<=> sdtlseqdt0(sz00,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_80])]) ).
fof(f645,plain,
( sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz00)
| ~ spl1_29
| ~ spl1_52 ),
inference(duplicate_literal_removal,[],[f636]) ).
fof(f636,plain,
( sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz00)
| ~ spl1_29
| ~ spl1_52 ),
inference(superposition,[],[f329,f531]) ).
fof(f985,plain,
( spl1_79
| ~ spl1_10
| ~ spl1_17 ),
inference(avatar_split_clause,[],[f248,f234,f182,f983]) ).
fof(f248,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = sdtasdt0(sdtasdt0(X1,X0),sz00) )
| ~ spl1_10
| ~ spl1_17 ),
inference(resolution,[],[f235,f183]) ).
fof(f981,plain,
( spl1_78
| ~ spl1_11
| ~ spl1_17 ),
inference(avatar_split_clause,[],[f247,f234,f186,f979]) ).
fof(f247,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = sdtasdt0(sz00,sdtasdt0(X1,X0)) )
| ~ spl1_11
| ~ spl1_17 ),
inference(resolution,[],[f235,f187]) ).
fof(f977,plain,
( spl1_77
| ~ spl1_10
| ~ spl1_16 ),
inference(avatar_split_clause,[],[f242,f230,f182,f975]) ).
fof(f242,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = sdtasdt0(sdtpldt0(X1,X0),sz00) )
| ~ spl1_10
| ~ spl1_16 ),
inference(resolution,[],[f231,f183]) ).
fof(f973,plain,
( spl1_76
| ~ spl1_11
| ~ spl1_16 ),
inference(avatar_split_clause,[],[f241,f230,f186,f971]) ).
fof(f241,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = sdtasdt0(sz00,sdtpldt0(X1,X0)) )
| ~ spl1_11
| ~ spl1_16 ),
inference(resolution,[],[f231,f187]) ).
fof(f907,plain,
( spl1_75
| ~ spl1_9
| ~ spl1_32 ),
inference(avatar_split_clause,[],[f373,f351,f178,f905]) ).
fof(f373,plain,
( ! [X0] :
( sdtpldt0(X0,sdtmndt0(X0,X0)) = X0
| ~ aNaturalNumber0(X0) )
| ~ spl1_9
| ~ spl1_32 ),
inference(duplicate_literal_removal,[],[f364]) ).
fof(f364,plain,
( ! [X0] :
( sdtpldt0(X0,sdtmndt0(X0,X0)) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X0) )
| ~ spl1_9
| ~ spl1_32 ),
inference(resolution,[],[f352,f179]) ).
fof(f903,plain,
( spl1_74
| ~ spl1_9
| ~ spl1_31 ),
inference(avatar_split_clause,[],[f363,f347,f178,f901]) ).
fof(f363,plain,
( ! [X0] :
( sdtpldt0(X0,sK0(X0,X0)) = X0
| ~ aNaturalNumber0(X0) )
| ~ spl1_9
| ~ spl1_31 ),
inference(duplicate_literal_removal,[],[f354]) ).
fof(f354,plain,
( ! [X0] :
( sdtpldt0(X0,sK0(X0,X0)) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X0) )
| ~ spl1_9
| ~ spl1_31 ),
inference(resolution,[],[f348,f179]) ).
fof(f899,plain,
( spl1_73
| ~ spl1_6
| ~ spl1_22 ),
inference(avatar_split_clause,[],[f289,f271,f164,f897]) ).
fof(f289,plain,
( ! [X0] :
( sdtasdt0(X0,sz10) = sdtasdt0(sz10,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl1_6
| ~ spl1_22 ),
inference(resolution,[],[f272,f166]) ).
fof(f895,plain,
( spl1_72
| ~ spl1_5
| ~ spl1_22 ),
inference(avatar_split_clause,[],[f288,f271,f159,f893]) ).
fof(f288,plain,
( ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sz00,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl1_5
| ~ spl1_22 ),
inference(resolution,[],[f272,f161]) ).
fof(f891,plain,
( spl1_71
| ~ spl1_6
| ~ spl1_21 ),
inference(avatar_split_clause,[],[f283,f267,f164,f889]) ).
fof(f283,plain,
( ! [X0] :
( sdtpldt0(X0,sz10) = sdtpldt0(sz10,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl1_6
| ~ spl1_21 ),
inference(resolution,[],[f268,f166]) ).
fof(f887,plain,
( spl1_70
| ~ spl1_5
| ~ spl1_21 ),
inference(avatar_split_clause,[],[f282,f267,f159,f885]) ).
fof(f282,plain,
( ! [X0] :
( sdtpldt0(X0,sz00) = sdtpldt0(sz00,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl1_5
| ~ spl1_21 ),
inference(resolution,[],[f268,f161]) ).
fof(f854,plain,
( ~ spl1_5
| ~ spl1_3
| spl1_69
| ~ spl1_29
| ~ spl1_51 ),
inference(avatar_split_clause,[],[f632,f524,f328,f851,f149,f159]) ).
fof(f851,plain,
( spl1_69
<=> sdtlseqdt0(sz00,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_69])]) ).
fof(f632,plain,
( sdtlseqdt0(sz00,xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00)
| ~ spl1_29
| ~ spl1_51 ),
inference(duplicate_literal_removal,[],[f623]) ).
fof(f623,plain,
( sdtlseqdt0(sz00,xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00)
| ~ spl1_29
| ~ spl1_51 ),
inference(superposition,[],[f329,f526]) ).
fof(f840,plain,
( spl1_68
| ~ spl1_4
| ~ spl1_22 ),
inference(avatar_split_clause,[],[f293,f271,f154,f838]) ).
fof(f293,plain,
( ! [X0] :
( sdtasdt0(X0,xn) = sdtasdt0(xn,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl1_4
| ~ spl1_22 ),
inference(resolution,[],[f272,f156]) ).
fof(f836,plain,
( spl1_67
| ~ spl1_3
| ~ spl1_22 ),
inference(avatar_split_clause,[],[f292,f271,f149,f834]) ).
fof(f292,plain,
( ! [X0] :
( sdtasdt0(X0,xm) = sdtasdt0(xm,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl1_3
| ~ spl1_22 ),
inference(resolution,[],[f272,f151]) ).
fof(f832,plain,
( spl1_66
| ~ spl1_4
| ~ spl1_21 ),
inference(avatar_split_clause,[],[f287,f267,f154,f830]) ).
fof(f287,plain,
( ! [X0] :
( sdtpldt0(xn,X0) = sdtpldt0(X0,xn)
| ~ aNaturalNumber0(X0) )
| ~ spl1_4
| ~ spl1_21 ),
inference(resolution,[],[f268,f156]) ).
fof(f828,plain,
( spl1_65
| ~ spl1_3
| ~ spl1_21 ),
inference(avatar_split_clause,[],[f286,f267,f149,f826]) ).
fof(f286,plain,
( ! [X0] :
( sdtpldt0(X0,xm) = sdtpldt0(xm,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl1_3
| ~ spl1_21 ),
inference(resolution,[],[f268,f151]) ).
fof(f725,plain,
( spl1_64
| ~ spl1_6
| ~ spl1_14 ),
inference(avatar_split_clause,[],[f222,f198,f164,f722]) ).
fof(f222,plain,
( sz10 = sdtasdt0(sz10,sz10)
| ~ spl1_6
| ~ spl1_14 ),
inference(resolution,[],[f199,f166]) ).
fof(f720,plain,
( spl1_63
| ~ spl1_6
| ~ spl1_13 ),
inference(avatar_split_clause,[],[f218,f194,f164,f717]) ).
fof(f218,plain,
( sz10 = sdtpldt0(sz00,sz10)
| ~ spl1_6
| ~ spl1_13 ),
inference(resolution,[],[f195,f166]) ).
fof(f715,plain,
( spl1_62
| ~ spl1_6
| ~ spl1_12 ),
inference(avatar_split_clause,[],[f214,f190,f164,f712]) ).
fof(f214,plain,
( sz10 = sdtpldt0(sz10,sz00)
| ~ spl1_6
| ~ spl1_12 ),
inference(resolution,[],[f191,f166]) ).
fof(f710,plain,
( spl1_61
| ~ spl1_5
| ~ spl1_12 ),
inference(avatar_split_clause,[],[f213,f190,f159,f707]) ).
fof(f213,plain,
( sz00 = sdtpldt0(sz00,sz00)
| ~ spl1_5
| ~ spl1_12 ),
inference(resolution,[],[f191,f161]) ).
fof(f705,plain,
( spl1_60
| ~ spl1_6
| ~ spl1_11 ),
inference(avatar_split_clause,[],[f210,f186,f164,f702]) ).
fof(f210,plain,
( sz00 = sdtasdt0(sz00,sz10)
| ~ spl1_6
| ~ spl1_11 ),
inference(resolution,[],[f187,f166]) ).
fof(f700,plain,
( spl1_59
| ~ spl1_6
| ~ spl1_10 ),
inference(avatar_split_clause,[],[f206,f182,f164,f697]) ).
fof(f206,plain,
( sz00 = sdtasdt0(sz10,sz00)
| ~ spl1_6
| ~ spl1_10 ),
inference(resolution,[],[f183,f166]) ).
fof(f695,plain,
( spl1_58
| ~ spl1_5
| ~ spl1_10 ),
inference(avatar_split_clause,[],[f205,f182,f159,f692]) ).
fof(f205,plain,
( sz00 = sdtasdt0(sz00,sz00)
| ~ spl1_5
| ~ spl1_10 ),
inference(resolution,[],[f183,f161]) ).
fof(f680,plain,
( ~ spl1_5
| ~ spl1_57
| ~ spl1_7
| ~ spl1_48 ),
inference(avatar_split_clause,[],[f606,f503,f169,f677,f159]) ).
fof(f606,plain,
( xn != sdtasdt0(xn,xm)
| ~ aNaturalNumber0(sz00)
| ~ spl1_7
| ~ spl1_48 ),
inference(superposition,[],[f170,f505]) ).
fof(f552,plain,
( spl1_56
| ~ spl1_4
| ~ spl1_15 ),
inference(avatar_split_clause,[],[f228,f202,f154,f549]) ).
fof(f228,plain,
( xn = sdtasdt0(sz10,xn)
| ~ spl1_4
| ~ spl1_15 ),
inference(resolution,[],[f203,f156]) ).
fof(f547,plain,
( spl1_55
| ~ spl1_3
| ~ spl1_15 ),
inference(avatar_split_clause,[],[f227,f202,f149,f544]) ).
fof(f227,plain,
( xm = sdtasdt0(sz10,xm)
| ~ spl1_3
| ~ spl1_15 ),
inference(resolution,[],[f203,f151]) ).
fof(f542,plain,
( spl1_54
| ~ spl1_4
| ~ spl1_14 ),
inference(avatar_split_clause,[],[f224,f198,f154,f539]) ).
fof(f224,plain,
( xn = sdtasdt0(xn,sz10)
| ~ spl1_4
| ~ spl1_14 ),
inference(resolution,[],[f199,f156]) ).
fof(f537,plain,
( spl1_53
| ~ spl1_3
| ~ spl1_14 ),
inference(avatar_split_clause,[],[f223,f198,f149,f534]) ).
fof(f223,plain,
( xm = sdtasdt0(xm,sz10)
| ~ spl1_3
| ~ spl1_14 ),
inference(resolution,[],[f199,f151]) ).
fof(f532,plain,
( spl1_52
| ~ spl1_4
| ~ spl1_13 ),
inference(avatar_split_clause,[],[f220,f194,f154,f529]) ).
fof(f220,plain,
( xn = sdtpldt0(sz00,xn)
| ~ spl1_4
| ~ spl1_13 ),
inference(resolution,[],[f195,f156]) ).
fof(f527,plain,
( spl1_51
| ~ spl1_3
| ~ spl1_13 ),
inference(avatar_split_clause,[],[f219,f194,f149,f524]) ).
fof(f219,plain,
( xm = sdtpldt0(sz00,xm)
| ~ spl1_3
| ~ spl1_13 ),
inference(resolution,[],[f195,f151]) ).
fof(f514,plain,
spl1_50,
inference(avatar_split_clause,[],[f127,f512]) ).
fof(f127,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,[],[f70]) ).
fof(f70,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,[],[f69]) ).
fof(f69,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(f510,plain,
spl1_49,
inference(avatar_split_clause,[],[f125,f508]) ).
fof(f125,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,[],[f70]) ).
fof(f506,plain,
( spl1_48
| ~ spl1_4
| ~ spl1_12 ),
inference(avatar_split_clause,[],[f216,f190,f154,f503]) ).
fof(f216,plain,
( xn = sdtpldt0(xn,sz00)
| ~ spl1_4
| ~ spl1_12 ),
inference(resolution,[],[f191,f156]) ).
fof(f493,plain,
spl1_47,
inference(avatar_split_clause,[],[f133,f491]) ).
fof(f133,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,[],[f108]) ).
fof(f108,plain,
! [X2,X0,X1] :
( sdtmndt0(X1,X0) = X2
| sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,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,[],[f75]) ).
fof(f75,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,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
( ! [X2] :
( sdtmndt0(X1,X0) = X2
<=> ( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f51]) ).
fof(f51,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(f461,plain,
spl1_46,
inference(avatar_split_clause,[],[f123,f459]) ).
fof(f123,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,[],[f68]) ).
fof(f68,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,[],[f67]) ).
fof(f67,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(f457,plain,
spl1_45,
inference(avatar_split_clause,[],[f122,f455]) ).
fof(f122,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,[],[f68]) ).
fof(f453,plain,
( spl1_44
| ~ spl1_3
| ~ spl1_12 ),
inference(avatar_split_clause,[],[f215,f190,f149,f450]) ).
fof(f215,plain,
( xm = sdtpldt0(xm,sz00)
| ~ spl1_3
| ~ spl1_12 ),
inference(resolution,[],[f191,f151]) ).
fof(f448,plain,
spl1_43,
inference(avatar_split_clause,[],[f115,f446]) ).
fof(f115,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,[],[f58]) ).
fof(f58,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,[],[f57]) ).
fof(f57,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(f444,plain,
spl1_42,
inference(avatar_split_clause,[],[f113,f442]) ).
fof(f113,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,[],[f58]) ).
fof(f440,plain,
spl1_41,
inference(avatar_split_clause,[],[f99,f438]) ).
fof(f99,plain,
! [X2,X0,X1] :
( X1 = X2
| sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,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,[],[f39]) ).
fof(f39,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(f436,plain,
spl1_40,
inference(avatar_split_clause,[],[f98,f434]) ).
fof(f98,plain,
! [X2,X0,X1] :
( X1 = X2
| sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f416,plain,
spl1_39,
inference(avatar_split_clause,[],[f121,f414]) ).
fof(f121,plain,
! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0,X1,X2] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f65]) ).
fof(f65,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(f412,plain,
spl1_38,
inference(avatar_split_clause,[],[f120,f410]) ).
fof(f120,plain,
! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0,X1,X2] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f63]) ).
fof(f63,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(f404,plain,
( spl1_37
| ~ spl1_4
| ~ spl1_11 ),
inference(avatar_split_clause,[],[f212,f186,f154,f401]) ).
fof(f212,plain,
( sz00 = sdtasdt0(sz00,xn)
| ~ spl1_4
| ~ spl1_11 ),
inference(resolution,[],[f187,f156]) ).
fof(f399,plain,
spl1_36,
inference(avatar_split_clause,[],[f130,f397]) ).
fof(f130,plain,
! [X2,X0,X1] :
( X1 = X2
| sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,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,[],[f73]) ).
fof(f73,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(f395,plain,
spl1_35,
inference(avatar_split_clause,[],[f129,f393]) ).
fof(f129,plain,
! [X2,X0,X1] :
( X1 = X2
| sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f381,plain,
spl1_34,
inference(avatar_split_clause,[],[f128,f379]) ).
fof(f128,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f71]) ).
fof(f71,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(f377,plain,
spl1_33,
inference(avatar_split_clause,[],[f111,f375]) ).
fof(f375,plain,
( spl1_33
<=> ! [X0,X1] :
( sz00 = X1
| sz00 = X0
| sz00 != sdtasdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_33])]) ).
fof(f111,plain,
! [X0,X1] :
( sz00 = X1
| sz00 = X0
| sz00 != sdtasdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( sz00 = X1
| sz00 = X0
| sz00 != sdtasdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f55]) ).
fof(f55,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(f353,plain,
spl1_32,
inference(avatar_split_clause,[],[f134,f351]) ).
fof(f134,plain,
! [X0,X1] :
( sdtpldt0(X0,sdtmndt0(X1,X0)) = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f107]) ).
fof(f107,plain,
! [X2,X0,X1] :
( sdtpldt0(X0,X2) = X1
| sdtmndt0(X1,X0) != X2
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f349,plain,
spl1_31,
inference(avatar_split_clause,[],[f118,f347]) ).
fof(f118,plain,
! [X0,X1] :
( sdtpldt0(X0,sK0(X0,X1)) = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ! [X2] :
( sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) ) )
& ( ( sdtpldt0(X0,sK0(X0,X1)) = X1
& aNaturalNumber0(sK0(X0,X1)) )
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f78,f79]) ).
fof(f79,plain,
! [X0,X1] :
( ? [X3] :
( sdtpldt0(X0,X3) = X1
& aNaturalNumber0(X3) )
=> ( sdtpldt0(X0,sK0(X0,X1)) = X1
& aNaturalNumber0(sK0(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f78,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,[],[f77]) ).
fof(f77,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,[],[f62]) ).
fof(f62,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f61]) ).
fof(f61,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(f345,plain,
( spl1_30
| ~ spl1_3
| ~ spl1_11 ),
inference(avatar_split_clause,[],[f211,f186,f149,f342]) ).
fof(f211,plain,
( sz00 = sdtasdt0(sz00,xm)
| ~ spl1_3
| ~ spl1_11 ),
inference(resolution,[],[f187,f151]) ).
fof(f330,plain,
spl1_29,
inference(avatar_split_clause,[],[f136,f328]) ).
fof(f136,plain,
! [X2,X0] :
( sdtlseqdt0(X0,sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f119]) ).
fof(f119,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f326,plain,
spl1_28,
inference(avatar_split_clause,[],[f116,f324]) ).
fof(f116,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f59]) ).
fof(f59,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(f322,plain,
spl1_27,
inference(avatar_split_clause,[],[f110,f320]) ).
fof(f320,plain,
( spl1_27
<=> ! [X0,X1] :
( sz00 = X1
| sz00 != sdtpldt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_27])]) ).
fof(f110,plain,
! [X0,X1] :
( sz00 = X1
| sz00 != sdtpldt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X1] :
( ( sz00 = X1
& sz00 = X0 )
| sz00 != sdtpldt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f53]) ).
fof(f53,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(f318,plain,
spl1_26,
inference(avatar_split_clause,[],[f109,f316]) ).
fof(f316,plain,
( spl1_26
<=> ! [X0,X1] :
( sz00 = X0
| sz00 != sdtpldt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_26])]) ).
fof(f109,plain,
! [X0,X1] :
( sz00 = X0
| sz00 != sdtpldt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f298,plain,
( spl1_25
| ~ spl1_4
| ~ spl1_10 ),
inference(avatar_split_clause,[],[f208,f182,f154,f295]) ).
fof(f208,plain,
( sz00 = sdtasdt0(xn,sz00)
| ~ spl1_4
| ~ spl1_10 ),
inference(resolution,[],[f183,f156]) ).
fof(f281,plain,
spl1_24,
inference(avatar_split_clause,[],[f135,f279]) ).
fof(f135,plain,
! [X0,X1] :
( aNaturalNumber0(sdtmndt0(X1,X0))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f106]) ).
fof(f106,plain,
! [X2,X0,X1] :
( aNaturalNumber0(X2)
| sdtmndt0(X1,X0) != X2
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f277,plain,
spl1_23,
inference(avatar_split_clause,[],[f117,f275]) ).
fof(f117,plain,
! [X0,X1] :
( aNaturalNumber0(sK0(X0,X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f273,plain,
spl1_22,
inference(avatar_split_clause,[],[f103,f271]) ).
fof(f103,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f47]) ).
fof(f47,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(f269,plain,
spl1_21,
inference(avatar_split_clause,[],[f102,f267]) ).
fof(f102,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f45]) ).
fof(f45,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(f265,plain,
spl1_20,
inference(avatar_split_clause,[],[f97,f263]) ).
fof(f97,plain,
! [X0] :
( sdtlseqdt0(sz10,X0)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0] :
( ( sdtlseqdt0(sz10,X0)
& sz10 != X0 )
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f37]) ).
fof(f37,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(f257,plain,
spl1_19,
inference(avatar_split_clause,[],[f105,f255]) ).
fof(f105,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1] :
( ( sdtlseqdt0(X1,X0)
& X0 != X1 )
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f49]) ).
fof(f49,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(f253,plain,
( spl1_18
| ~ spl1_3
| ~ spl1_10 ),
inference(avatar_split_clause,[],[f207,f182,f149,f250]) ).
fof(f207,plain,
( sz00 = sdtasdt0(xm,sz00)
| ~ spl1_3
| ~ spl1_10 ),
inference(resolution,[],[f183,f151]) ).
fof(f236,plain,
spl1_17,
inference(avatar_split_clause,[],[f101,f234]) ).
fof(f101,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f43]) ).
fof(f43,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(f232,plain,
spl1_16,
inference(avatar_split_clause,[],[f100,f230]) ).
fof(f100,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f41]) ).
fof(f41,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(f204,plain,
spl1_15,
inference(avatar_split_clause,[],[f95,f202]) ).
fof(f95,plain,
! [X0] :
( sdtasdt0(sz10,X0) = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,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(f200,plain,
spl1_14,
inference(avatar_split_clause,[],[f94,f198]) ).
fof(f94,plain,
! [X0] :
( sdtasdt0(X0,sz10) = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f196,plain,
spl1_13,
inference(avatar_split_clause,[],[f93,f194]) ).
fof(f93,plain,
! [X0] :
( sdtpldt0(sz00,X0) = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,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(f192,plain,
spl1_12,
inference(avatar_split_clause,[],[f92,f190]) ).
fof(f92,plain,
! [X0] :
( sdtpldt0(X0,sz00) = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f188,plain,
spl1_11,
inference(avatar_split_clause,[],[f91,f186]) ).
fof(f91,plain,
! [X0] :
( sz00 = sdtasdt0(sz00,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,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(f184,plain,
spl1_10,
inference(avatar_split_clause,[],[f90,f182]) ).
fof(f90,plain,
! [X0] :
( sz00 = sdtasdt0(X0,sz00)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f180,plain,
spl1_9,
inference(avatar_split_clause,[],[f89,f178]) ).
fof(f89,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,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(f176,plain,
~ spl1_8,
inference(avatar_split_clause,[],[f88,f173]) ).
fof(f88,plain,
sz00 != sz10,
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( sz00 != sz10
& aNaturalNumber0(sz10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC_01) ).
fof(f171,plain,
spl1_7,
inference(avatar_split_clause,[],[f82,f169]) ).
fof(f82,plain,
! [X0] :
( sdtpldt0(xn,X0) != sdtasdt0(xn,xm)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
( ~ sdtlseqdt0(xn,sdtasdt0(xn,xm))
& ! [X0] :
( sdtpldt0(xn,X0) != sdtasdt0(xn,xm)
| ~ aNaturalNumber0(X0) )
& sz00 != xm ),
inference(flattening,[],[f31]) ).
fof(f31,plain,
( ~ sdtlseqdt0(xn,sdtasdt0(xn,xm))
& ! [X0] :
( sdtpldt0(xn,X0) != sdtasdt0(xn,xm)
| ~ aNaturalNumber0(X0) )
& sz00 != xm ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,negated_conjecture,
~ ( sz00 != xm
=> ( sdtlseqdt0(xn,sdtasdt0(xn,xm))
| ? [X0] :
( sdtpldt0(xn,X0) = sdtasdt0(xn,xm)
& aNaturalNumber0(X0) ) ) ),
inference(negated_conjecture,[],[f28]) ).
fof(f28,conjecture,
( sz00 != xm
=> ( sdtlseqdt0(xn,sdtasdt0(xn,xm))
| ? [X0] :
( sdtpldt0(xn,X0) = sdtasdt0(xn,xm)
& aNaturalNumber0(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f167,plain,
spl1_6,
inference(avatar_split_clause,[],[f87,f164]) ).
fof(f87,plain,
aNaturalNumber0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f162,plain,
spl1_5,
inference(avatar_split_clause,[],[f86,f159]) ).
fof(f86,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).
fof(f157,plain,
spl1_4,
inference(avatar_split_clause,[],[f85,f154]) ).
fof(f85,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f27]) ).
fof(f27,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__987) ).
fof(f152,plain,
spl1_3,
inference(avatar_split_clause,[],[f84,f149]) ).
fof(f84,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f27]) ).
fof(f147,plain,
~ spl1_2,
inference(avatar_split_clause,[],[f83,f144]) ).
fof(f83,plain,
~ sdtlseqdt0(xn,sdtasdt0(xn,xm)),
inference(cnf_transformation,[],[f32]) ).
fof(f142,plain,
~ spl1_1,
inference(avatar_split_clause,[],[f81,f139]) ).
fof(f81,plain,
sz00 != xm,
inference(cnf_transformation,[],[f32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : NUM463+2 : TPTP v8.2.0. Released v4.0.0.
% 0.10/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n014.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon May 20 05:51:37 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % (3919)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36 % (3922)WARNING: value z3 for option sas not known
% 0.14/0.36 % (3920)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.36 % (3921)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.36 % (3923)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.36 % (3922)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.36 % (3924)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.36 % (3925)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.36 % (3926)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [3]
% 0.14/0.37 TRYING [3]
% 0.14/0.38 TRYING [4]
% 0.14/0.38 TRYING [4]
% 0.21/0.43 TRYING [5]
% 0.21/0.45 TRYING [5]
% 0.21/0.54 TRYING [6]
% 0.21/0.56 TRYING [6]
% 2.74/0.79 TRYING [7]
% 3.26/0.82 TRYING [7]
% 5.93/1.18 % (3924)First to succeed.
% 5.99/1.20 % (3924)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3919"
% 5.99/1.20 % (3924)Refutation found. Thanks to Tanya!
% 5.99/1.20 % SZS status Theorem for theBenchmark
% 5.99/1.20 % SZS output start Proof for theBenchmark
% See solution above
% 6.15/1.22 % (3924)------------------------------
% 6.15/1.22 % (3924)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 6.15/1.22 % (3924)Termination reason: Refutation
% 6.15/1.22
% 6.15/1.22 % (3924)Memory used [KB]: 13979
% 6.15/1.22 % (3924)Time elapsed: 0.839 s
% 6.15/1.22 % (3924)Instructions burned: 2605 (million)
% 6.15/1.22 % (3919)Success in time 0.858 s
%------------------------------------------------------------------------------