TSTP Solution File: NUM471+2 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM471+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n013.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 : Fri Sep 1 20:17:34 EDT 2023
% Result : Theorem 11.41s 2.10s
% Output : Refutation 11.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 471
% Syntax : Number of formulae : 3191 ( 44 unt; 0 def)
% Number of atoms : 14297 (2433 equ)
% Maximal formula atoms : 19 ( 4 avg)
% Number of connectives : 20699 (9593 ~;10468 |; 146 &)
% ( 442 <=>; 50 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 436 ( 434 usr; 431 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 9 con; 0-2 aty)
% Number of variables : 1620 (;1600 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f11764,plain,
$false,
inference(avatar_smt_refutation,[],[f193,f198,f203,f208,f213,f218,f223,f228,f233,f238,f243,f248,f253,f258,f263,f268,f273,f278,f283,f288,f302,f307,f312,f317,f322,f327,f341,f346,f351,f356,f361,f375,f380,f385,f390,f395,f400,f414,f419,f424,f429,f434,f448,f453,f458,f463,f468,f473,f480,f494,f499,f504,f509,f514,f519,f524,f549,f554,f559,f564,f569,f574,f579,f612,f613,f639,f644,f645,f650,f655,f668,f669,f674,f675,f680,f681,f686,f687,f688,f703,f708,f715,f745,f750,f755,f760,f765,f770,f775,f798,f819,f824,f829,f834,f849,f854,f864,f897,f902,f907,f912,f917,f926,f995,f1004,f1033,f1038,f1052,f1127,f1132,f1137,f1151,f1196,f1201,f1206,f1211,f1217,f1260,f1273,f1274,f1279,f1320,f1329,f1376,f1417,f1436,f1441,f1444,f1448,f1568,f1569,f1585,f1638,f1646,f1648,f1665,f1670,f1777,f1789,f1804,f1861,f1866,f1880,f1895,f1919,f1933,f1947,f2011,f2025,f2039,f2269,f2294,f2309,f2533,f2649,f2654,f2683,f2701,f2706,f2724,f2729,f2734,f2739,f2837,f2842,f2847,f2890,f2891,f2892,f2907,f2908,f2909,f2910,f2915,f2925,f2926,f3006,f3028,f3055,f3485,f3538,f4177,f4183,f4189,f4195,f4542,f4548,f4554,f4574,f4580,f4586,f4592,f4598,f4615,f4629,f4630,f4635,f4734,f4735,f4744,f4771,f4776,f4782,f4787,f4820,f4821,f4826,f4827,f4832,f4971,f4976,f4977,f5010,f5022,f5023,f5303,f5305,f5311,f5316,f5321,f5326,f5681,f5699,f5704,f5716,f5812,f5823,f5900,f5905,f5955,f5978,f6031,f6036,f6041,f6046,f6051,f6052,f6057,f6062,f6067,f6068,f6099,f6104,f6154,f6213,f6231,f6246,f6283,f6293,f6327,f6458,f6463,f6468,f6469,f6470,f6494,f6535,f6801,f6806,f6811,f6816,f6817,f6822,f6827,f6832,f6837,f6842,f6843,f6867,f6872,f6877,f6882,f6887,f6956,f6957,f6962,f6967,f6995,f6996,f6997,f6998,f7003,f7008,f7009,f7059,f7074,f7149,f7165,f7186,f7201,f7232,f7237,f7238,f7243,f7266,f7267,f7272,f7309,f7454,f7534,f7549,f7604,f7663,f7809,f7810,f7811,f7812,f7813,f7814,f7815,f7820,f7825,f7830,f7835,f7858,f7863,f7868,f7873,f7878,f7883,f7888,f7893,f7898,f7903,f7908,f8052,f8057,f8062,f8067,f8190,f8201,f8206,f8224,f8229,f8234,f8239,f8244,f8249,f8254,f8259,f8264,f8269,f8274,f8279,f8284,f8289,f8294,f8299,f8304,f8309,f8314,f8319,f8324,f8335,f8340,f8345,f8350,f8355,f8360,f8365,f8370,f8375,f8380,f8385,f8402,f8443,f8500,f8514,f8547,f8561,f8657,f8662,f8667,f8690,f8731,f8739,f8758,f8760,f8865,f8870,f8934,f8940,f9003,f9008,f9020,f9095,f9096,f9101,f9102,f9103,f9104,f9159,f9164,f9228,f9233,f9296,f9302,f9370,f9375,f9380,f9395,f9450,f9455,f9558,f9569,f9579,f9584,f9589,f9594,f9599,f9656,f9677,f9683,f9684,f9764,f9964,f9993,f9998,f10003,f10008,f10067,f10072,f10077,f10083,f10088,f10093,f10098,f10129,f10134,f10139,f10144,f10149,f10154,f10429,f10430,f10435,f10436,f10497,f10502,f10507,f10512,f10517,f10522,f10527,f10532,f10533,f10548,f10707,f10712,f10717,f10722,f10727,f10732,f10737,f10738,f10739,f10740,f10760,f10822,f10829,f10830,f10831,f10832,f10834,f10841,f10846,f11029,f11034,f11171,f11176,f11252,f11286,f11292,f11357,f11389,f11471,f11498,f11538,f11597,f11602,f11607,f11612,f11613,f11637,f11642,f11676,f11681,f11686,f11723,f11724,f11754,f11763]) ).
fof(f11763,plain,
( ~ spl4_4
| ~ spl4_5
| spl4_430 ),
inference(avatar_contradiction_clause,[],[f11762]) ).
fof(f11762,plain,
( $false
| ~ spl4_4
| ~ spl4_5
| spl4_430 ),
inference(subsumption_resolution,[],[f11761,f207]) ).
fof(f207,plain,
( aNaturalNumber0(xm)
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f205,plain,
( spl4_4
<=> aNaturalNumber0(xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
fof(f11761,plain,
( ~ aNaturalNumber0(xm)
| ~ spl4_5
| spl4_430 ),
inference(subsumption_resolution,[],[f11757,f212]) ).
fof(f212,plain,
( aNaturalNumber0(xn)
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f210]) ).
fof(f210,plain,
( spl4_5
<=> aNaturalNumber0(xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).
fof(f11757,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| spl4_430 ),
inference(resolution,[],[f11753,f1772]) ).
fof(f1772,plain,
! [X0,X1] :
( sdtlseqdt0(X0,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(subsumption_resolution,[],[f1719,f146]) ).
fof(f146,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f53]) ).
fof(f53,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/tmp/tmp.6s11TsY2qv/Vampire---4.8_4225',mSortsB) ).
fof(f1719,plain,
! [X0,X1] :
( sdtlseqdt0(X0,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f173]) ).
fof(f173,plain,
! [X2,X0,X1] :
( sdtpldt0(X0,X2) != X1
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ! [X2] :
( sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) ) )
& ( ( sdtpldt0(X0,sK3(X0,X1)) = X1
& aNaturalNumber0(sK3(X0,X1)) )
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f111,f112]) ).
fof(f112,plain,
! [X0,X1] :
( ? [X3] :
( sdtpldt0(X0,X3) = X1
& aNaturalNumber0(X3) )
=> ( sdtpldt0(X0,sK3(X0,X1)) = X1
& aNaturalNumber0(sK3(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f111,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,[],[f110]) ).
fof(f110,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,[],[f82]) ).
fof(f82,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f81]) ).
fof(f81,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/tmp/tmp.6s11TsY2qv/Vampire---4.8_4225',mDefLE) ).
fof(f11753,plain,
( ~ sdtlseqdt0(xm,sdtpldt0(xm,xn))
| spl4_430 ),
inference(avatar_component_clause,[],[f11751]) ).
fof(f11751,plain,
( spl4_430
<=> sdtlseqdt0(xm,sdtpldt0(xm,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_430])]) ).
fof(f11754,plain,
( ~ spl4_430
| ~ spl4_4
| ~ spl4_64
| spl4_185
| ~ spl4_429 ),
inference(avatar_split_clause,[],[f11734,f11720,f4741,f609,f205,f11751]) ).
fof(f609,plain,
( spl4_64
<=> aNaturalNumber0(sdtpldt0(xm,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_64])]) ).
fof(f4741,plain,
( spl4_185
<=> xm = sdtpldt0(xm,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_185])]) ).
fof(f11720,plain,
( spl4_429
<=> sdtlseqdt0(sdtpldt0(xm,xn),xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_429])]) ).
fof(f11734,plain,
( ~ sdtlseqdt0(xm,sdtpldt0(xm,xn))
| ~ spl4_4
| ~ spl4_64
| spl4_185
| ~ spl4_429 ),
inference(subsumption_resolution,[],[f11733,f207]) ).
fof(f11733,plain,
( ~ sdtlseqdt0(xm,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xm)
| ~ spl4_64
| spl4_185
| ~ spl4_429 ),
inference(subsumption_resolution,[],[f11732,f611]) ).
fof(f611,plain,
( aNaturalNumber0(sdtpldt0(xm,xn))
| ~ spl4_64 ),
inference(avatar_component_clause,[],[f609]) ).
fof(f11732,plain,
( ~ sdtlseqdt0(xm,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xm)
| spl4_185
| ~ spl4_429 ),
inference(subsumption_resolution,[],[f11727,f4742]) ).
fof(f4742,plain,
( xm != sdtpldt0(xm,xn)
| spl4_185 ),
inference(avatar_component_clause,[],[f4741]) ).
fof(f11727,plain,
( xm = sdtpldt0(xm,xn)
| ~ sdtlseqdt0(xm,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xm)
| ~ spl4_429 ),
inference(resolution,[],[f11722,f167]) ).
fof(f167,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f77]) ).
fof(f77,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/tmp/tmp.6s11TsY2qv/Vampire---4.8_4225',mLEAsym) ).
fof(f11722,plain,
( sdtlseqdt0(sdtpldt0(xm,xn),xm)
| ~ spl4_429 ),
inference(avatar_component_clause,[],[f11720]) ).
fof(f11724,plain,
( spl4_429
| ~ spl4_1
| ~ spl4_3
| ~ spl4_7
| spl4_11
| ~ spl4_14
| ~ spl4_20
| ~ spl4_69
| spl4_184
| ~ spl4_404 ),
inference(avatar_split_clause,[],[f11715,f10757,f4737,f665,f285,f255,f240,f220,f200,f190,f11720]) ).
fof(f190,plain,
( spl4_1
<=> aNaturalNumber0(xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f200,plain,
( spl4_3
<=> aNaturalNumber0(xl) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f220,plain,
( spl4_7
<=> aNaturalNumber0(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).
fof(f240,plain,
( spl4_11
<=> sz00 = xl ),
introduced(avatar_definition,[new_symbols(naming,[spl4_11])]) ).
fof(f255,plain,
( spl4_14
<=> xm = sdtasdt0(xl,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_14])]) ).
fof(f285,plain,
( spl4_20
<=> sdtpldt0(xm,xn) = sdtasdt0(xl,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_20])]) ).
fof(f665,plain,
( spl4_69
<=> sdtlseqdt0(xq,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_69])]) ).
fof(f4737,plain,
( spl4_184
<=> xp = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_184])]) ).
fof(f10757,plain,
( spl4_404
<=> xq = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_404])]) ).
fof(f11715,plain,
( sdtlseqdt0(sdtpldt0(xm,xn),xm)
| ~ spl4_1
| ~ spl4_3
| ~ spl4_7
| spl4_11
| ~ spl4_14
| ~ spl4_20
| ~ spl4_69
| spl4_184
| ~ spl4_404 ),
inference(subsumption_resolution,[],[f11714,f667]) ).
fof(f667,plain,
( sdtlseqdt0(xq,xp)
| ~ spl4_69 ),
inference(avatar_component_clause,[],[f665]) ).
fof(f11714,plain,
( ~ sdtlseqdt0(xq,xp)
| sdtlseqdt0(sdtpldt0(xm,xn),xm)
| ~ spl4_1
| ~ spl4_3
| ~ spl4_7
| spl4_11
| ~ spl4_14
| ~ spl4_20
| spl4_184
| ~ spl4_404 ),
inference(forward_demodulation,[],[f11713,f10759]) ).
fof(f10759,plain,
( xq = sK0
| ~ spl4_404 ),
inference(avatar_component_clause,[],[f10757]) ).
fof(f11713,plain,
( sdtlseqdt0(sdtpldt0(xm,xn),xm)
| ~ sdtlseqdt0(sK0,xp)
| ~ spl4_1
| ~ spl4_3
| ~ spl4_7
| spl4_11
| ~ spl4_14
| ~ spl4_20
| spl4_184 ),
inference(subsumption_resolution,[],[f11712,f222]) ).
fof(f222,plain,
( aNaturalNumber0(sK0)
| ~ spl4_7 ),
inference(avatar_component_clause,[],[f220]) ).
fof(f11712,plain,
( sdtlseqdt0(sdtpldt0(xm,xn),xm)
| ~ sdtlseqdt0(sK0,xp)
| ~ aNaturalNumber0(sK0)
| ~ spl4_1
| ~ spl4_3
| spl4_11
| ~ spl4_14
| ~ spl4_20
| spl4_184 ),
inference(subsumption_resolution,[],[f11696,f4739]) ).
fof(f4739,plain,
( xp != sK0
| spl4_184 ),
inference(avatar_component_clause,[],[f4737]) ).
fof(f11696,plain,
( sdtlseqdt0(sdtpldt0(xm,xn),xm)
| ~ sdtlseqdt0(sK0,xp)
| xp = sK0
| ~ aNaturalNumber0(sK0)
| ~ spl4_1
| ~ spl4_3
| spl4_11
| ~ spl4_14
| ~ spl4_20 ),
inference(superposition,[],[f5248,f287]) ).
fof(f287,plain,
( sdtpldt0(xm,xn) = sdtasdt0(xl,sK0)
| ~ spl4_20 ),
inference(avatar_component_clause,[],[f285]) ).
fof(f5248,plain,
( ! [X24] :
( sdtlseqdt0(sdtasdt0(xl,X24),xm)
| ~ sdtlseqdt0(X24,xp)
| xp = X24
| ~ aNaturalNumber0(X24) )
| ~ spl4_1
| ~ spl4_3
| spl4_11
| ~ spl4_14 ),
inference(subsumption_resolution,[],[f5247,f202]) ).
fof(f202,plain,
( aNaturalNumber0(xl)
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f200]) ).
fof(f5247,plain,
( ! [X24] :
( sdtlseqdt0(sdtasdt0(xl,X24),xm)
| ~ sdtlseqdt0(X24,xp)
| xp = X24
| ~ aNaturalNumber0(X24)
| ~ aNaturalNumber0(xl) )
| ~ spl4_1
| spl4_11
| ~ spl4_14 ),
inference(subsumption_resolution,[],[f5246,f192]) ).
fof(f192,plain,
( aNaturalNumber0(xp)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f190]) ).
fof(f5246,plain,
( ! [X24] :
( sdtlseqdt0(sdtasdt0(xl,X24),xm)
| ~ sdtlseqdt0(X24,xp)
| xp = X24
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X24)
| ~ aNaturalNumber0(xl) )
| spl4_11
| ~ spl4_14 ),
inference(subsumption_resolution,[],[f5091,f242]) ).
fof(f242,plain,
( sz00 != xl
| spl4_11 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f5091,plain,
( ! [X24] :
( sdtlseqdt0(sdtasdt0(xl,X24),xm)
| ~ sdtlseqdt0(X24,xp)
| xp = X24
| sz00 = xl
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X24)
| ~ aNaturalNumber0(xl) )
| ~ spl4_14 ),
inference(superposition,[],[f179,f257]) ).
fof(f257,plain,
( xm = sdtasdt0(xl,xp)
| ~ spl4_14 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f179,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,[],[f90]) ).
fof(f90,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,[],[f89]) ).
fof(f89,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/tmp/tmp.6s11TsY2qv/Vampire---4.8_4225',mMonMul) ).
fof(f11723,plain,
( spl4_429
| ~ spl4_1
| ~ spl4_2
| ~ spl4_3
| spl4_11
| ~ spl4_14
| ~ spl4_18
| spl4_49
| ~ spl4_69 ),
inference(avatar_split_clause,[],[f11711,f665,f477,f275,f255,f240,f200,f195,f190,f11720]) ).
fof(f195,plain,
( spl4_2
<=> aNaturalNumber0(xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f275,plain,
( spl4_18
<=> sdtpldt0(xm,xn) = sdtasdt0(xl,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_18])]) ).
fof(f477,plain,
( spl4_49
<=> xp = xq ),
introduced(avatar_definition,[new_symbols(naming,[spl4_49])]) ).
fof(f11711,plain,
( sdtlseqdt0(sdtpldt0(xm,xn),xm)
| ~ spl4_1
| ~ spl4_2
| ~ spl4_3
| spl4_11
| ~ spl4_14
| ~ spl4_18
| spl4_49
| ~ spl4_69 ),
inference(subsumption_resolution,[],[f11710,f197]) ).
fof(f197,plain,
( aNaturalNumber0(xq)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f195]) ).
fof(f11710,plain,
( sdtlseqdt0(sdtpldt0(xm,xn),xm)
| ~ aNaturalNumber0(xq)
| ~ spl4_1
| ~ spl4_3
| spl4_11
| ~ spl4_14
| ~ spl4_18
| spl4_49
| ~ spl4_69 ),
inference(subsumption_resolution,[],[f11709,f479]) ).
fof(f479,plain,
( xp != xq
| spl4_49 ),
inference(avatar_component_clause,[],[f477]) ).
fof(f11709,plain,
( sdtlseqdt0(sdtpldt0(xm,xn),xm)
| xp = xq
| ~ aNaturalNumber0(xq)
| ~ spl4_1
| ~ spl4_3
| spl4_11
| ~ spl4_14
| ~ spl4_18
| ~ spl4_69 ),
inference(subsumption_resolution,[],[f11695,f667]) ).
fof(f11695,plain,
( sdtlseqdt0(sdtpldt0(xm,xn),xm)
| ~ sdtlseqdt0(xq,xp)
| xp = xq
| ~ aNaturalNumber0(xq)
| ~ spl4_1
| ~ spl4_3
| spl4_11
| ~ spl4_14
| ~ spl4_18 ),
inference(superposition,[],[f5248,f277]) ).
fof(f277,plain,
( sdtpldt0(xm,xn) = sdtasdt0(xl,xq)
| ~ spl4_18 ),
inference(avatar_component_clause,[],[f275]) ).
fof(f11686,plain,
( spl4_428
| ~ spl4_1
| ~ spl4_2
| ~ spl4_8
| ~ spl4_9
| ~ spl4_25
| ~ spl4_71
| spl4_98
| spl4_102
| ~ spl4_114
| ~ spl4_123
| ~ spl4_247 ),
inference(avatar_split_clause,[],[f11671,f6959,f1774,f1276,f1049,f997,f677,f319,f230,f225,f195,f190,f11683]) ).
fof(f11683,plain,
( spl4_428
<=> sdtlseqdt0(sz00,sdtasdt0(xp,xq)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_428])]) ).
fof(f225,plain,
( spl4_8
<=> aNaturalNumber0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).
fof(f230,plain,
( spl4_9
<=> aNaturalNumber0(sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_9])]) ).
fof(f319,plain,
( spl4_25
<=> sz00 = sdtasdt0(xq,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_25])]) ).
fof(f677,plain,
( spl4_71
<=> sz10 = sdtpldt0(sz00,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_71])]) ).
fof(f997,plain,
( spl4_98
<=> sz00 = xp ),
introduced(avatar_definition,[new_symbols(naming,[spl4_98])]) ).
fof(f1049,plain,
( spl4_102
<=> sz00 = xq ),
introduced(avatar_definition,[new_symbols(naming,[spl4_102])]) ).
fof(f1276,plain,
( spl4_114
<=> sdtlseqdt0(sz00,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_114])]) ).
fof(f1774,plain,
( spl4_123
<=> xq = sdtpldt0(sz00,sK3(sz00,xq)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_123])]) ).
fof(f6959,plain,
( spl4_247
<=> sdtasdt0(xq,xp) = sdtasdt0(xp,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_247])]) ).
fof(f11671,plain,
( sdtlseqdt0(sz00,sdtasdt0(xp,xq))
| ~ spl4_1
| ~ spl4_2
| ~ spl4_8
| ~ spl4_9
| ~ spl4_25
| ~ spl4_71
| spl4_98
| spl4_102
| ~ spl4_114
| ~ spl4_123
| ~ spl4_247 ),
inference(subsumption_resolution,[],[f11670,f192]) ).
fof(f11670,plain,
( sdtlseqdt0(sz00,sdtasdt0(xp,xq))
| ~ aNaturalNumber0(xp)
| ~ spl4_2
| ~ spl4_8
| ~ spl4_9
| ~ spl4_25
| ~ spl4_71
| spl4_98
| spl4_102
| ~ spl4_114
| ~ spl4_123
| ~ spl4_247 ),
inference(subsumption_resolution,[],[f11661,f998]) ).
fof(f998,plain,
( sz00 != xp
| spl4_98 ),
inference(avatar_component_clause,[],[f997]) ).
fof(f11661,plain,
( sdtlseqdt0(sz00,sdtasdt0(xp,xq))
| sz00 = xp
| ~ aNaturalNumber0(xp)
| ~ spl4_2
| ~ spl4_8
| ~ spl4_9
| ~ spl4_25
| ~ spl4_71
| spl4_102
| ~ spl4_114
| ~ spl4_123
| ~ spl4_247 ),
inference(superposition,[],[f5199,f6961]) ).
fof(f6961,plain,
( sdtasdt0(xq,xp) = sdtasdt0(xp,xq)
| ~ spl4_247 ),
inference(avatar_component_clause,[],[f6959]) ).
fof(f5199,plain,
( ! [X36] :
( sdtlseqdt0(sz00,sdtasdt0(xq,X36))
| sz00 = X36
| ~ aNaturalNumber0(X36) )
| ~ spl4_2
| ~ spl4_8
| ~ spl4_9
| ~ spl4_25
| ~ spl4_71
| spl4_102
| ~ spl4_114
| ~ spl4_123 ),
inference(subsumption_resolution,[],[f5198,f4510]) ).
fof(f4510,plain,
( ! [X0] :
( sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(X0)
| sz00 = X0 )
| ~ spl4_8
| ~ spl4_9
| ~ spl4_71
| ~ spl4_114
| ~ spl4_123 ),
inference(subsumption_resolution,[],[f4508,f227]) ).
fof(f227,plain,
( aNaturalNumber0(sz00)
| ~ spl4_8 ),
inference(avatar_component_clause,[],[f225]) ).
fof(f4508,plain,
( ! [X0] :
( sz00 = X0
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sz00) )
| ~ spl4_8
| ~ spl4_9
| ~ spl4_71
| ~ spl4_114
| ~ spl4_123 ),
inference(duplicate_literal_removal,[],[f4484]) ).
fof(f4484,plain,
( ! [X0] :
( sz00 = X0
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) )
| ~ spl4_8
| ~ spl4_9
| ~ spl4_71
| ~ spl4_114
| ~ spl4_123 ),
inference(resolution,[],[f4473,f151]) ).
fof(f151,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0,X1] :
( ( sdtlseqdt0(X1,X0)
& X0 != X1 )
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f61]) ).
fof(f61,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/tmp/tmp.6s11TsY2qv/Vampire---4.8_4225',mLETotal) ).
fof(f4473,plain,
( ! [X38] :
( ~ sdtlseqdt0(X38,sz00)
| sz00 = X38
| ~ aNaturalNumber0(X38) )
| ~ spl4_8
| ~ spl4_9
| ~ spl4_71
| ~ spl4_114
| ~ spl4_123 ),
inference(global_subsumption,[],[f4472,f155,f162,f160,f166,f165,f177,f176,f181,f180,f187,f179,f178,f188,f117,f120,f123,f124,f125,f126,f129,f132,f133,f227,f232,f115,f116,f128,f134,f118,f119,f127,f131,f135,f114,f121,f122,f130,f136,f137,f138,f139,f140,f141,f146,f525,f526,f527,f528,f529,f530,f147,f580,f581,f582,f583,f584,f585,f150,f289,f290,f328,f329,f362,f151,f363,f401,f402,f435,f436,f481,f482,f143,f679,f148,f716,f717,f718,f720,f149,f779,f780,f781,f783,f168,f835,f836,f837,f838,f839,f840,f841,f842,f171,f882,f883,f884,f885,f886,f887,f888,f889,f152,f156,f157,f159,f167,f1298,f1299,f153,f1377,f169,f170,f1567,f1278,f172,f1613,f1612,f1611,f1610,f1614,f1617,f173,f1772,f158,f182,f184,f1975,f1974,f1973,f1977,f1979,f1982,f185,f2135,f2204,f186,f2405,f2474,f154,f2623,f164,f2709,f174,f2806,f2807,f2808,f2810,f2818,f2819,f1616,f175,f2893,f2894,f2895,f2897,f2905,f2906,f183,f2987,f2988,f144,f145,f3511,f3655,f3726,f161,f3958,f3960,f3963,f3982,f4064,f1722,f4168,f4169,f4170,f4171,f163,f4300,f4302,f4305,f4324,f4407,f4408]) ).
fof(f4408,plain,
( ! [X9] :
( ~ sdtlseqdt0(X9,sz00)
| sz00 = X9
| ~ aNaturalNumber0(X9) )
| ~ spl4_8
| ~ spl4_9
| ~ spl4_71
| ~ spl4_114 ),
inference(global_subsumption,[],[f155,f162,f160,f166,f165,f177,f176,f181,f180,f187,f179,f178,f188,f117,f120,f123,f124,f125,f126,f129,f132,f133,f227,f232,f115,f116,f128,f134,f118,f119,f127,f131,f135,f114,f121,f122,f130,f136,f137,f138,f139,f140,f141,f146,f525,f526,f527,f528,f529,f530,f147,f580,f581,f582,f583,f584,f585,f150,f289,f290,f328,f329,f362,f151,f363,f401,f402,f435,f436,f481,f482,f143,f679,f148,f716,f717,f718,f720,f149,f779,f780,f781,f783,f168,f835,f836,f837,f838,f839,f840,f841,f842,f171,f882,f883,f884,f885,f886,f887,f888,f889,f152,f156,f157,f159,f167,f1298,f1299,f153,f1377,f169,f170,f1567,f1278,f172,f1613,f1612,f1611,f1610,f1614,f1617,f173,f1772,f158,f182,f184,f1975,f1974,f1973,f1977,f1979,f1982,f185,f2135,f2204,f186,f2405,f2474,f154,f2623,f164,f2709,f174,f2806,f2807,f2808,f2810,f2818,f2819,f1616,f175,f2893,f2894,f2895,f2897,f2905,f2906,f183,f2987,f2988,f144,f145,f3511,f3655,f3726,f161,f3958,f3960,f3963,f3982,f4064,f1722,f4168,f4169,f4170,f4171,f163,f4300,f4302,f4305,f4324,f4407]) ).
fof(f4407,plain,
( ! [X9] :
( sdtlseqdt0(sdtpldt0(X9,sz10),sz10)
| ~ sdtlseqdt0(X9,sz00)
| sz00 = X9
| ~ aNaturalNumber0(X9) )
| ~ spl4_8
| ~ spl4_9
| ~ spl4_71 ),
inference(subsumption_resolution,[],[f4406,f227]) ).
fof(f4406,plain,
( ! [X9] :
( sdtlseqdt0(sdtpldt0(X9,sz10),sz10)
| ~ sdtlseqdt0(X9,sz00)
| sz00 = X9
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X9) )
| ~ spl4_9
| ~ spl4_71 ),
inference(subsumption_resolution,[],[f4257,f232]) ).
fof(f4257,plain,
( ! [X9] :
( sdtlseqdt0(sdtpldt0(X9,sz10),sz10)
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(X9,sz00)
| sz00 = X9
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X9) )
| ~ spl4_71 ),
inference(superposition,[],[f163,f679]) ).
fof(f4324,plain,
( ! [X9] :
( sdtlseqdt0(sz10,sdtpldt0(X9,sz10))
| ~ sdtlseqdt0(sz00,X9)
| sz00 = X9
| ~ aNaturalNumber0(X9) )
| ~ spl4_8
| ~ spl4_9
| ~ spl4_71 ),
inference(subsumption_resolution,[],[f4323,f227]) ).
fof(f4323,plain,
( ! [X9] :
( sdtlseqdt0(sz10,sdtpldt0(X9,sz10))
| ~ sdtlseqdt0(sz00,X9)
| sz00 = X9
| ~ aNaturalNumber0(X9)
| ~ aNaturalNumber0(sz00) )
| ~ spl4_9
| ~ spl4_71 ),
inference(subsumption_resolution,[],[f4208,f232]) ).
fof(f4208,plain,
( ! [X9] :
( sdtlseqdt0(sz10,sdtpldt0(X9,sz10))
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(sz00,X9)
| sz00 = X9
| ~ aNaturalNumber0(X9)
| ~ aNaturalNumber0(sz00) )
| ~ spl4_71 ),
inference(superposition,[],[f163,f679]) ).
fof(f4305,plain,
! [X8,X9,X7] :
( ~ aNaturalNumber0(X7)
| ~ sdtlseqdt0(X8,X9)
| X8 = X9
| ~ aNaturalNumber0(X9)
| ~ aNaturalNumber0(X8)
| ~ sdtlseqdt0(sdtpldt0(X9,X7),sdtpldt0(X8,X7)) ),
inference(subsumption_resolution,[],[f4304,f146]) ).
fof(f4304,plain,
! [X8,X9,X7] :
( ~ aNaturalNumber0(X7)
| ~ sdtlseqdt0(X8,X9)
| X8 = X9
| ~ aNaturalNumber0(X9)
| ~ aNaturalNumber0(X8)
| ~ sdtlseqdt0(sdtpldt0(X9,X7),sdtpldt0(X8,X7))
| ~ aNaturalNumber0(sdtpldt0(X9,X7)) ),
inference(subsumption_resolution,[],[f4303,f146]) ).
fof(f4303,plain,
! [X8,X9,X7] :
( ~ aNaturalNumber0(X7)
| ~ sdtlseqdt0(X8,X9)
| X8 = X9
| ~ aNaturalNumber0(X9)
| ~ aNaturalNumber0(X8)
| ~ sdtlseqdt0(sdtpldt0(X9,X7),sdtpldt0(X8,X7))
| ~ aNaturalNumber0(sdtpldt0(X8,X7))
| ~ aNaturalNumber0(sdtpldt0(X9,X7)) ),
inference(subsumption_resolution,[],[f4198,f186]) ).
fof(f4198,plain,
! [X8,X9,X7] :
( ~ aNaturalNumber0(X7)
| ~ sdtlseqdt0(X8,X9)
| X8 = X9
| ~ aNaturalNumber0(X9)
| ~ aNaturalNumber0(X8)
| sdtpldt0(X9,X7) = sdtpldt0(X8,X7)
| ~ sdtlseqdt0(sdtpldt0(X9,X7),sdtpldt0(X8,X7))
| ~ aNaturalNumber0(sdtpldt0(X8,X7))
| ~ aNaturalNumber0(sdtpldt0(X9,X7)) ),
inference(resolution,[],[f163,f167]) ).
fof(f4302,plain,
! [X6,X4,X5] :
( ~ aNaturalNumber0(X4)
| ~ sdtlseqdt0(X5,X6)
| X5 = X6
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X5)
| sdtpldt0(X6,X4) = sdtpldt0(sdtpldt0(X5,X4),sK3(sdtpldt0(X5,X4),sdtpldt0(X6,X4))) ),
inference(subsumption_resolution,[],[f4301,f146]) ).
fof(f4301,plain,
! [X6,X4,X5] :
( ~ aNaturalNumber0(X4)
| ~ sdtlseqdt0(X5,X6)
| X5 = X6
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X5)
| sdtpldt0(X6,X4) = sdtpldt0(sdtpldt0(X5,X4),sK3(sdtpldt0(X5,X4),sdtpldt0(X6,X4)))
| ~ aNaturalNumber0(sdtpldt0(X5,X4)) ),
inference(subsumption_resolution,[],[f4197,f146]) ).
fof(f4197,plain,
! [X6,X4,X5] :
( ~ aNaturalNumber0(X4)
| ~ sdtlseqdt0(X5,X6)
| X5 = X6
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X5)
| sdtpldt0(X6,X4) = sdtpldt0(sdtpldt0(X5,X4),sK3(sdtpldt0(X5,X4),sdtpldt0(X6,X4)))
| ~ aNaturalNumber0(sdtpldt0(X6,X4))
| ~ aNaturalNumber0(sdtpldt0(X5,X4)) ),
inference(resolution,[],[f163,f172]) ).
fof(f4300,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(X3) ),
inference(subsumption_resolution,[],[f4299,f146]) ).
fof(f4299,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(X1,X0))
| ~ aNaturalNumber0(X3) ),
inference(subsumption_resolution,[],[f4196,f146]) ).
fof(f4196,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) ),
inference(resolution,[],[f163,f184]) ).
fof(f163,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,[],[f74]) ).
fof(f74,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,[],[f73]) ).
fof(f73,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/tmp/tmp.6s11TsY2qv/Vampire---4.8_4225',mMonAdd) ).
fof(f4171,plain,
( ! [X3] :
( ~ aNaturalNumber0(X3)
| sz00 = X3
| ~ sdtlseqdt0(X3,sz00) )
| ~ spl4_8
| ~ spl4_9
| ~ spl4_71
| ~ spl4_114 ),
inference(global_subsumption,[],[f155,f163,f162,f160,f166,f165,f177,f176,f181,f180,f187,f179,f178,f188,f117,f120,f123,f124,f125,f126,f129,f132,f133,f227,f232,f115,f116,f128,f134,f118,f119,f127,f131,f135,f114,f121,f122,f130,f136,f137,f138,f139,f140,f141,f146,f525,f526,f527,f528,f529,f530,f147,f580,f581,f582,f583,f584,f585,f150,f289,f290,f328,f329,f362,f151,f363,f401,f402,f435,f436,f481,f482,f143,f679,f148,f716,f717,f718,f720,f149,f779,f780,f781,f783,f168,f835,f836,f837,f838,f839,f840,f841,f842,f171,f882,f883,f884,f885,f886,f887,f888,f889,f152,f156,f157,f159,f167,f1298,f1299,f153,f1377,f169,f170,f1567,f1278,f172,f1613,f1612,f1611,f1610,f1614,f1617,f173,f1772,f158,f182,f184,f1975,f1974,f1973,f1977,f1979,f1982,f185,f2135,f2204,f186,f2405,f2474,f154,f2623,f164,f2709,f174,f2806,f2807,f2808,f2810,f2818,f2819,f1616,f175,f2893,f2894,f2895,f2897,f2905,f2906,f183,f2987,f2988,f144,f145,f3511,f3655,f3726,f161,f3958,f3960,f3963,f3982,f4064,f1722,f4168,f4169,f4170]) ).
fof(f4170,plain,
( ! [X3] :
( sz10 != X3
| ~ aNaturalNumber0(X3)
| sz00 = X3
| ~ sdtlseqdt0(X3,sz00) )
| ~ spl4_8
| ~ spl4_9
| ~ spl4_71 ),
inference(subsumption_resolution,[],[f4165,f227]) ).
fof(f4165,plain,
( ! [X3] :
( sz10 != X3
| ~ aNaturalNumber0(X3)
| sz00 = X3
| ~ sdtlseqdt0(X3,sz00)
| ~ aNaturalNumber0(sz00) )
| ~ spl4_8
| ~ spl4_9
| ~ spl4_71 ),
inference(duplicate_literal_removal,[],[f4163]) ).
fof(f4163,plain,
( ! [X3] :
( sz10 != X3
| ~ aNaturalNumber0(X3)
| sz00 = X3
| ~ sdtlseqdt0(X3,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X3) )
| ~ spl4_8
| ~ spl4_9
| ~ spl4_71 ),
inference(resolution,[],[f1722,f167]) ).
fof(f4169,plain,
( ! [X2] :
( sz10 != X2
| ~ aNaturalNumber0(X2)
| sdtpldt0(sz00,sK3(sz00,X2)) = X2 )
| ~ spl4_8
| ~ spl4_9
| ~ spl4_71 ),
inference(subsumption_resolution,[],[f4166,f227]) ).
fof(f4166,plain,
( ! [X2] :
( sz10 != X2
| ~ aNaturalNumber0(X2)
| sdtpldt0(sz00,sK3(sz00,X2)) = X2
| ~ aNaturalNumber0(sz00) )
| ~ spl4_8
| ~ spl4_9
| ~ spl4_71 ),
inference(duplicate_literal_removal,[],[f4162]) ).
fof(f4162,plain,
( ! [X2] :
( sz10 != X2
| ~ aNaturalNumber0(X2)
| sdtpldt0(sz00,sK3(sz00,X2)) = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(sz00) )
| ~ spl4_8
| ~ spl4_9
| ~ spl4_71 ),
inference(resolution,[],[f1722,f172]) ).
fof(f4168,plain,
( ! [X0,X1] :
( sz10 != X0
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(X1) )
| ~ spl4_8
| ~ spl4_9
| ~ spl4_71 ),
inference(subsumption_resolution,[],[f4167,f227]) ).
fof(f4167,plain,
( ! [X0,X1] :
( sz10 != X0
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1) )
| ~ spl4_8
| ~ spl4_9
| ~ spl4_71 ),
inference(duplicate_literal_removal,[],[f4161]) ).
fof(f4161,plain,
( ! [X0,X1] :
( sz10 != X0
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1) )
| ~ spl4_8
| ~ spl4_9
| ~ spl4_71 ),
inference(resolution,[],[f1722,f184]) ).
fof(f1722,plain,
( ! [X9] :
( sdtlseqdt0(sz00,X9)
| sz10 != X9
| ~ aNaturalNumber0(X9) )
| ~ spl4_8
| ~ spl4_9
| ~ spl4_71 ),
inference(subsumption_resolution,[],[f1721,f227]) ).
fof(f1721,plain,
( ! [X9] :
( sz10 != X9
| sdtlseqdt0(sz00,X9)
| ~ aNaturalNumber0(X9)
| ~ aNaturalNumber0(sz00) )
| ~ spl4_9
| ~ spl4_71 ),
inference(subsumption_resolution,[],[f1692,f232]) ).
fof(f1692,plain,
( ! [X9] :
( sz10 != X9
| sdtlseqdt0(sz00,X9)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X9)
| ~ aNaturalNumber0(sz00) )
| ~ spl4_71 ),
inference(superposition,[],[f173,f679]) ).
fof(f4064,plain,
( ! [X9] :
( sdtlseqdt0(sdtpldt0(sz00,X9),sz10)
| ~ sdtlseqdt0(X9,sz10)
| sz10 = X9
| ~ aNaturalNumber0(X9) )
| ~ spl4_8
| ~ spl4_9
| ~ spl4_71 ),
inference(subsumption_resolution,[],[f4063,f232]) ).
fof(f4063,plain,
( ! [X9] :
( sdtlseqdt0(sdtpldt0(sz00,X9),sz10)
| ~ sdtlseqdt0(X9,sz10)
| sz10 = X9
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X9) )
| ~ spl4_8
| ~ spl4_71 ),
inference(subsumption_resolution,[],[f3915,f227]) ).
fof(f3915,plain,
( ! [X9] :
( sdtlseqdt0(sdtpldt0(sz00,X9),sz10)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(X9,sz10)
| sz10 = X9
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X9) )
| ~ spl4_71 ),
inference(superposition,[],[f161,f679]) ).
fof(f3982,plain,
( ! [X9] :
( sdtlseqdt0(sz10,sdtpldt0(sz00,X9))
| ~ sdtlseqdt0(sz10,X9)
| sz10 = X9
| ~ aNaturalNumber0(X9) )
| ~ spl4_8
| ~ spl4_9
| ~ spl4_71 ),
inference(subsumption_resolution,[],[f3981,f232]) ).
fof(f3981,plain,
( ! [X9] :
( sdtlseqdt0(sz10,sdtpldt0(sz00,X9))
| ~ sdtlseqdt0(sz10,X9)
| sz10 = X9
| ~ aNaturalNumber0(X9)
| ~ aNaturalNumber0(sz10) )
| ~ spl4_8
| ~ spl4_71 ),
inference(subsumption_resolution,[],[f3866,f227]) ).
fof(f3866,plain,
( ! [X9] :
( sdtlseqdt0(sz10,sdtpldt0(sz00,X9))
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz10,X9)
| sz10 = X9
| ~ aNaturalNumber0(X9)
| ~ aNaturalNumber0(sz10) )
| ~ spl4_71 ),
inference(superposition,[],[f161,f679]) ).
fof(f3963,plain,
! [X8,X9,X7] :
( ~ aNaturalNumber0(X7)
| ~ sdtlseqdt0(X8,X9)
| X8 = X9
| ~ aNaturalNumber0(X9)
| ~ aNaturalNumber0(X8)
| ~ sdtlseqdt0(sdtpldt0(X7,X9),sdtpldt0(X7,X8)) ),
inference(subsumption_resolution,[],[f3962,f146]) ).
fof(f3962,plain,
! [X8,X9,X7] :
( ~ aNaturalNumber0(X7)
| ~ sdtlseqdt0(X8,X9)
| X8 = X9
| ~ aNaturalNumber0(X9)
| ~ aNaturalNumber0(X8)
| ~ sdtlseqdt0(sdtpldt0(X7,X9),sdtpldt0(X7,X8))
| ~ aNaturalNumber0(sdtpldt0(X7,X9)) ),
inference(subsumption_resolution,[],[f3961,f146]) ).
fof(f3961,plain,
! [X8,X9,X7] :
( ~ aNaturalNumber0(X7)
| ~ sdtlseqdt0(X8,X9)
| X8 = X9
| ~ aNaturalNumber0(X9)
| ~ aNaturalNumber0(X8)
| ~ sdtlseqdt0(sdtpldt0(X7,X9),sdtpldt0(X7,X8))
| ~ aNaturalNumber0(sdtpldt0(X7,X8))
| ~ aNaturalNumber0(sdtpldt0(X7,X9)) ),
inference(subsumption_resolution,[],[f3856,f185]) ).
fof(f3856,plain,
! [X8,X9,X7] :
( ~ aNaturalNumber0(X7)
| ~ sdtlseqdt0(X8,X9)
| X8 = X9
| ~ aNaturalNumber0(X9)
| ~ aNaturalNumber0(X8)
| sdtpldt0(X7,X9) = sdtpldt0(X7,X8)
| ~ sdtlseqdt0(sdtpldt0(X7,X9),sdtpldt0(X7,X8))
| ~ aNaturalNumber0(sdtpldt0(X7,X8))
| ~ aNaturalNumber0(sdtpldt0(X7,X9)) ),
inference(resolution,[],[f161,f167]) ).
fof(f3960,plain,
! [X6,X4,X5] :
( ~ aNaturalNumber0(X4)
| ~ sdtlseqdt0(X5,X6)
| X5 = X6
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X5)
| sdtpldt0(X4,X6) = sdtpldt0(sdtpldt0(X4,X5),sK3(sdtpldt0(X4,X5),sdtpldt0(X4,X6))) ),
inference(subsumption_resolution,[],[f3959,f146]) ).
fof(f3959,plain,
! [X6,X4,X5] :
( ~ aNaturalNumber0(X4)
| ~ sdtlseqdt0(X5,X6)
| X5 = X6
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X5)
| sdtpldt0(X4,X6) = sdtpldt0(sdtpldt0(X4,X5),sK3(sdtpldt0(X4,X5),sdtpldt0(X4,X6)))
| ~ aNaturalNumber0(sdtpldt0(X4,X5)) ),
inference(subsumption_resolution,[],[f3855,f146]) ).
fof(f3855,plain,
! [X6,X4,X5] :
( ~ aNaturalNumber0(X4)
| ~ sdtlseqdt0(X5,X6)
| X5 = X6
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X5)
| sdtpldt0(X4,X6) = sdtpldt0(sdtpldt0(X4,X5),sK3(sdtpldt0(X4,X5),sdtpldt0(X4,X6)))
| ~ aNaturalNumber0(sdtpldt0(X4,X6))
| ~ aNaturalNumber0(sdtpldt0(X4,X5)) ),
inference(resolution,[],[f161,f172]) ).
fof(f3958,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(X3) ),
inference(subsumption_resolution,[],[f3957,f146]) ).
fof(f3957,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,X1))
| ~ aNaturalNumber0(X3) ),
inference(subsumption_resolution,[],[f3854,f146]) ).
fof(f3854,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) ),
inference(resolution,[],[f161,f184]) ).
fof(f161,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,[],[f74]) ).
fof(f3726,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| sdtmndt0(sdtpldt0(X0,X1),X0) = X1
| ~ aNaturalNumber0(X0) ),
inference(subsumption_resolution,[],[f3633,f146]) ).
fof(f3633,plain,
! [X0,X1] :
( sdtmndt0(sdtpldt0(X0,X1),X0) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f3511]) ).
fof(f3655,plain,
( ! [X9] :
( sz10 != X9
| sz10 = sdtmndt0(X9,sz00)
| ~ aNaturalNumber0(X9) )
| ~ spl4_8
| ~ spl4_9
| ~ spl4_71 ),
inference(subsumption_resolution,[],[f3654,f227]) ).
fof(f3654,plain,
( ! [X9] :
( sz10 != X9
| sz10 = sdtmndt0(X9,sz00)
| ~ aNaturalNumber0(X9)
| ~ aNaturalNumber0(sz00) )
| ~ spl4_9
| ~ spl4_71 ),
inference(subsumption_resolution,[],[f3593,f232]) ).
fof(f3593,plain,
( ! [X9] :
( sz10 != X9
| sz10 = sdtmndt0(X9,sz00)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X9)
| ~ aNaturalNumber0(sz00) )
| ~ spl4_71 ),
inference(superposition,[],[f3511,f679]) ).
fof(f3511,plain,
! [X2,X0,X1] :
( sdtpldt0(X0,X2) != X1
| sdtmndt0(X1,X0) = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(subsumption_resolution,[],[f155,f173]) ).
fof(f145,plain,
! [X2,X0,X1] :
( sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
| X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,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,[],[f51]) ).
fof(f51,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/tmp/tmp.6s11TsY2qv/Vampire---4.8_4225',mMulCanc) ).
fof(f144,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
| X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f2988,plain,
! [X6,X4,X5] :
( ~ doDivides0(X4,X5)
| ~ doDivides0(X4,X6)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X4)
| sdtpldt0(X6,X5) = sdtasdt0(X4,sK2(X4,sdtpldt0(X6,X5))) ),
inference(subsumption_resolution,[],[f2985,f146]) ).
fof(f2985,plain,
! [X6,X4,X5] :
( ~ doDivides0(X4,X5)
| ~ doDivides0(X4,X6)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X4)
| sdtpldt0(X6,X5) = sdtasdt0(X4,sK2(X4,sdtpldt0(X6,X5)))
| ~ aNaturalNumber0(sdtpldt0(X6,X5)) ),
inference(duplicate_literal_removal,[],[f2935]) ).
fof(f2935,plain,
! [X6,X4,X5] :
( ~ doDivides0(X4,X5)
| ~ doDivides0(X4,X6)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X4)
| sdtpldt0(X6,X5) = sdtasdt0(X4,sK2(X4,sdtpldt0(X6,X5)))
| ~ aNaturalNumber0(sdtpldt0(X6,X5))
| ~ aNaturalNumber0(X4) ),
inference(resolution,[],[f183,f169]) ).
fof(f2987,plain,
! [X2,X3,X0,X1] :
( ~ doDivides0(X0,X1)
| ~ doDivides0(X0,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| doDivides0(X3,sdtpldt0(X2,X1))
| ~ doDivides0(X3,X0)
| ~ aNaturalNumber0(X3) ),
inference(subsumption_resolution,[],[f2986,f146]) ).
fof(f2986,plain,
! [X2,X3,X0,X1] :
( ~ doDivides0(X0,X1)
| ~ doDivides0(X0,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| doDivides0(X3,sdtpldt0(X2,X1))
| ~ doDivides0(X3,X0)
| ~ aNaturalNumber0(sdtpldt0(X2,X1))
| ~ aNaturalNumber0(X3) ),
inference(duplicate_literal_removal,[],[f2934]) ).
fof(f2934,plain,
! [X2,X3,X0,X1] :
( ~ doDivides0(X0,X1)
| ~ doDivides0(X0,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| doDivides0(X3,sdtpldt0(X2,X1))
| ~ doDivides0(X3,X0)
| ~ aNaturalNumber0(sdtpldt0(X2,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X3) ),
inference(resolution,[],[f183,f182]) ).
fof(f183,plain,
! [X2,X0,X1] :
( doDivides0(X0,sdtpldt0(X1,X2))
| ~ doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0,X1,X2] :
( doDivides0(X0,sdtpldt0(X1,X2))
| ~ doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f93]) ).
fof(f93,plain,
! [X0,X1,X2] :
( doDivides0(X0,sdtpldt0(X1,X2))
| ~ doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X0,X2)
& doDivides0(X0,X1) )
=> doDivides0(X0,sdtpldt0(X1,X2)) ) ),
file('/export/starexec/sandbox/tmp/tmp.6s11TsY2qv/Vampire---4.8_4225',mDivSum) ).
fof(f2906,plain,
! [X34,X35,X32,X33] :
( sdtasdt0(sdtasdt0(X32,X33),sK3(X34,X35)) = sdtasdt0(X32,sdtasdt0(X33,sK3(X34,X35)))
| ~ aNaturalNumber0(X33)
| ~ aNaturalNumber0(X32)
| ~ sdtlseqdt0(X34,X35)
| ~ aNaturalNumber0(X35)
| ~ aNaturalNumber0(X34) ),
inference(resolution,[],[f175,f171]) ).
fof(f2905,plain,
! [X31,X28,X29,X30] :
( sdtasdt0(sdtasdt0(X28,X29),sK2(X30,X31)) = sdtasdt0(X28,sdtasdt0(X29,sK2(X30,X31)))
| ~ aNaturalNumber0(X29)
| ~ aNaturalNumber0(X28)
| ~ doDivides0(X30,X31)
| ~ aNaturalNumber0(X31)
| ~ aNaturalNumber0(X30) ),
inference(resolution,[],[f175,f168]) ).
fof(f2897,plain,
! [X10,X11,X12,X13] :
( sdtasdt0(sdtasdt0(X10,X11),sdtasdt0(X12,X13)) = sdtasdt0(X10,sdtasdt0(X11,sdtasdt0(X12,X13)))
| ~ aNaturalNumber0(X11)
| ~ aNaturalNumber0(X10)
| ~ aNaturalNumber0(X13)
| ~ aNaturalNumber0(X12) ),
inference(resolution,[],[f175,f147]) ).
fof(f2895,plain,
! [X6,X7,X4,X5] :
( sdtasdt0(sdtasdt0(X4,X5),sdtpldt0(X6,X7)) = sdtasdt0(X4,sdtasdt0(X5,sdtpldt0(X6,X7)))
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X6) ),
inference(resolution,[],[f175,f146]) ).
fof(f2894,plain,
( ! [X2,X3] :
( sdtasdt0(sdtasdt0(X2,X3),sz10) = sdtasdt0(X2,sdtasdt0(X3,sz10))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) )
| ~ spl4_9 ),
inference(resolution,[],[f175,f232]) ).
fof(f2893,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sz00) = sdtasdt0(X0,sdtasdt0(X1,sz00))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl4_8 ),
inference(resolution,[],[f175,f227]) ).
fof(f175,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0,X1,X2] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f85]) ).
fof(f85,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/tmp/tmp.6s11TsY2qv/Vampire---4.8_4225',mMulAsso) ).
fof(f1616,plain,
( sz10 = sdtpldt0(sz00,sK3(sz00,sz10))
| ~ spl4_8
| ~ spl4_9
| ~ spl4_114 ),
inference(subsumption_resolution,[],[f1615,f227]) ).
fof(f1615,plain,
( sz10 = sdtpldt0(sz00,sK3(sz00,sz10))
| ~ aNaturalNumber0(sz00)
| ~ spl4_9
| ~ spl4_114 ),
inference(subsumption_resolution,[],[f1598,f232]) ).
fof(f1598,plain,
( sz10 = sdtpldt0(sz00,sK3(sz00,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ spl4_114 ),
inference(resolution,[],[f172,f1278]) ).
fof(f2819,plain,
! [X34,X35,X32,X33] :
( sdtpldt0(sdtpldt0(X32,X33),sK3(X34,X35)) = sdtpldt0(X32,sdtpldt0(X33,sK3(X34,X35)))
| ~ aNaturalNumber0(X33)
| ~ aNaturalNumber0(X32)
| ~ sdtlseqdt0(X34,X35)
| ~ aNaturalNumber0(X35)
| ~ aNaturalNumber0(X34) ),
inference(resolution,[],[f174,f171]) ).
fof(f2818,plain,
! [X31,X28,X29,X30] :
( sdtpldt0(sdtpldt0(X28,X29),sK2(X30,X31)) = sdtpldt0(X28,sdtpldt0(X29,sK2(X30,X31)))
| ~ aNaturalNumber0(X29)
| ~ aNaturalNumber0(X28)
| ~ doDivides0(X30,X31)
| ~ aNaturalNumber0(X31)
| ~ aNaturalNumber0(X30) ),
inference(resolution,[],[f174,f168]) ).
fof(f2810,plain,
! [X10,X11,X12,X13] :
( sdtpldt0(sdtpldt0(X10,X11),sdtasdt0(X12,X13)) = sdtpldt0(X10,sdtpldt0(X11,sdtasdt0(X12,X13)))
| ~ aNaturalNumber0(X11)
| ~ aNaturalNumber0(X10)
| ~ aNaturalNumber0(X13)
| ~ aNaturalNumber0(X12) ),
inference(resolution,[],[f174,f147]) ).
fof(f2808,plain,
! [X6,X7,X4,X5] :
( sdtpldt0(sdtpldt0(X4,X5),sdtpldt0(X6,X7)) = sdtpldt0(X4,sdtpldt0(X5,sdtpldt0(X6,X7)))
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X6) ),
inference(resolution,[],[f174,f146]) ).
fof(f2807,plain,
( ! [X2,X3] :
( sdtpldt0(sdtpldt0(X2,X3),sz10) = sdtpldt0(X2,sdtpldt0(X3,sz10))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) )
| ~ spl4_9 ),
inference(resolution,[],[f174,f232]) ).
fof(f2806,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(X0,sdtpldt0(X1,sz00))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl4_8 ),
inference(resolution,[],[f174,f227]) ).
fof(f174,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0,X1,X2] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f83]) ).
fof(f83,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/tmp/tmp.6s11TsY2qv/Vampire---4.8_4225',mAddAsso) ).
fof(f2709,plain,
! [X0,X1] :
( aNaturalNumber0(sdtsldt0(X0,X1))
| ~ doDivides0(X1,X0)
| sz00 = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(equality_resolution,[],[f164]) ).
fof(f164,plain,
! [X2,X0,X1] :
( sdtsldt0(X1,X0) != X2
| aNaturalNumber0(X2)
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtsldt0(X1,X0) = X2
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
& ( ( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) )
| sdtsldt0(X1,X0) != X2 ) )
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f104]) ).
fof(f104,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtsldt0(X1,X0) = X2
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
& ( ( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) )
| sdtsldt0(X1,X0) != X2 ) )
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(nnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( ! [X2] :
( sdtsldt0(X1,X0) = X2
<=> ( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f75]) ).
fof(f75,plain,
! [X0,X1] :
( ! [X2] :
( sdtsldt0(X1,X0) = X2
<=> ( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X0,X1)
& sz00 != X0 )
=> ! [X2] :
( sdtsldt0(X1,X0) = X2
<=> ( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.6s11TsY2qv/Vampire---4.8_4225',mDefQuot) ).
fof(f2623,plain,
! [X0,X1] :
( sdtpldt0(X0,sdtmndt0(X1,X0)) = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f154]) ).
fof(f154,plain,
! [X2,X0,X1] :
( sdtmndt0(X1,X0) != X2
| sdtpldt0(X0,X2) = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,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,[],[f102]) ).
fof(f102,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,[],[f66]) ).
fof(f66,plain,
! [X0,X1] :
( ! [X2] :
( sdtmndt0(X1,X0) = X2
<=> ( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f65]) ).
fof(f65,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/tmp/tmp.6s11TsY2qv/Vampire---4.8_4225',mDefDiff) ).
fof(f2474,plain,
( ! [X9] :
( sz10 != sdtpldt0(X9,sz10)
| sz00 = X9
| ~ aNaturalNumber0(X9) )
| ~ spl4_8
| ~ spl4_9
| ~ spl4_71 ),
inference(subsumption_resolution,[],[f2473,f232]) ).
fof(f2473,plain,
( ! [X9] :
( sz10 != sdtpldt0(X9,sz10)
| sz00 = X9
| ~ aNaturalNumber0(X9)
| ~ aNaturalNumber0(sz10) )
| ~ spl4_8
| ~ spl4_71 ),
inference(subsumption_resolution,[],[f2356,f227]) ).
fof(f2356,plain,
( ! [X9] :
( sz10 != sdtpldt0(X9,sz10)
| sz00 = X9
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X9)
| ~ aNaturalNumber0(sz10) )
| ~ spl4_71 ),
inference(superposition,[],[f186,f679]) ).
fof(f2405,plain,
( ! [X9] :
( sz10 != sdtpldt0(X9,sz10)
| sz00 = X9
| ~ aNaturalNumber0(X9) )
| ~ spl4_8
| ~ spl4_9
| ~ spl4_71 ),
inference(subsumption_resolution,[],[f2404,f232]) ).
fof(f2404,plain,
( ! [X9] :
( sz10 != sdtpldt0(X9,sz10)
| sz00 = X9
| ~ aNaturalNumber0(X9)
| ~ aNaturalNumber0(sz10) )
| ~ spl4_8
| ~ spl4_71 ),
inference(subsumption_resolution,[],[f2319,f227]) ).
fof(f2319,plain,
( ! [X9] :
( sz10 != sdtpldt0(X9,sz10)
| sz00 = X9
| ~ aNaturalNumber0(X9)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz10) )
| ~ spl4_71 ),
inference(superposition,[],[f186,f679]) ).
fof(f186,plain,
! [X2,X0,X1] :
( sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
| X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,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,[],[f97]) ).
fof(f97,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/tmp/tmp.6s11TsY2qv/Vampire---4.8_4225',mAddCanc) ).
fof(f2204,plain,
( ! [X9] :
( sz10 != sdtpldt0(sz00,X9)
| sz10 = X9
| ~ aNaturalNumber0(X9) )
| ~ spl4_8
| ~ spl4_9
| ~ spl4_71 ),
inference(subsumption_resolution,[],[f2203,f227]) ).
fof(f2203,plain,
( ! [X9] :
( sz10 != sdtpldt0(sz00,X9)
| sz10 = X9
| ~ aNaturalNumber0(X9)
| ~ aNaturalNumber0(sz00) )
| ~ spl4_9
| ~ spl4_71 ),
inference(subsumption_resolution,[],[f2086,f232]) ).
fof(f2086,plain,
( ! [X9] :
( sz10 != sdtpldt0(sz00,X9)
| sz10 = X9
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X9)
| ~ aNaturalNumber0(sz00) )
| ~ spl4_71 ),
inference(superposition,[],[f185,f679]) ).
fof(f2135,plain,
( ! [X9] :
( sz10 != sdtpldt0(sz00,X9)
| sz10 = X9
| ~ aNaturalNumber0(X9) )
| ~ spl4_8
| ~ spl4_9
| ~ spl4_71 ),
inference(subsumption_resolution,[],[f2134,f227]) ).
fof(f2134,plain,
( ! [X9] :
( sz10 != sdtpldt0(sz00,X9)
| sz10 = X9
| ~ aNaturalNumber0(X9)
| ~ aNaturalNumber0(sz00) )
| ~ spl4_9
| ~ spl4_71 ),
inference(subsumption_resolution,[],[f2049,f232]) ).
fof(f2049,plain,
( ! [X9] :
( sz10 != sdtpldt0(sz00,X9)
| sz10 = X9
| ~ aNaturalNumber0(X9)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00) )
| ~ spl4_71 ),
inference(superposition,[],[f185,f679]) ).
fof(f185,plain,
! [X2,X0,X1] :
( sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
| X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f1982,plain,
( ! [X16,X17] :
( sdtlseqdt0(X16,X17)
| ~ sdtlseqdt0(X16,sz10)
| ~ aNaturalNumber0(X17)
| ~ aNaturalNumber0(X16)
| sz10 = X17
| sz00 = X17 )
| ~ spl4_9 ),
inference(subsumption_resolution,[],[f1971,f232]) ).
fof(f1971,plain,
! [X16,X17] :
( sdtlseqdt0(X16,X17)
| ~ sdtlseqdt0(X16,sz10)
| ~ aNaturalNumber0(X17)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X16)
| sz10 = X17
| sz00 = X17 ),
inference(duplicate_literal_removal,[],[f1960]) ).
fof(f1960,plain,
! [X16,X17] :
( sdtlseqdt0(X16,X17)
| ~ sdtlseqdt0(X16,sz10)
| ~ aNaturalNumber0(X17)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X16)
| sz10 = X17
| sz00 = X17
| ~ aNaturalNumber0(X17) ),
inference(resolution,[],[f184,f143]) ).
fof(f1979,plain,
( ! [X14] :
( sdtlseqdt0(X14,sz10)
| ~ sdtlseqdt0(X14,sz00)
| ~ aNaturalNumber0(X14) )
| ~ spl4_8
| ~ spl4_9
| ~ spl4_114 ),
inference(subsumption_resolution,[],[f1978,f227]) ).
fof(f1978,plain,
( ! [X14] :
( sdtlseqdt0(X14,sz10)
| ~ sdtlseqdt0(X14,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X14) )
| ~ spl4_9
| ~ spl4_114 ),
inference(subsumption_resolution,[],[f1958,f232]) ).
fof(f1958,plain,
( ! [X14] :
( sdtlseqdt0(X14,sz10)
| ~ sdtlseqdt0(X14,sz00)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X14) )
| ~ spl4_114 ),
inference(resolution,[],[f184,f1278]) ).
fof(f1977,plain,
! [X11,X12,X13] :
( sdtlseqdt0(X11,sdtasdt0(X12,X13))
| ~ sdtlseqdt0(X11,X12)
| ~ aNaturalNumber0(X12)
| ~ aNaturalNumber0(X11)
| sz00 = X13
| ~ aNaturalNumber0(X13) ),
inference(subsumption_resolution,[],[f1972,f147]) ).
fof(f1972,plain,
! [X11,X12,X13] :
( sdtlseqdt0(X11,sdtasdt0(X12,X13))
| ~ sdtlseqdt0(X11,X12)
| ~ aNaturalNumber0(sdtasdt0(X12,X13))
| ~ aNaturalNumber0(X12)
| ~ aNaturalNumber0(X11)
| sz00 = X13
| ~ aNaturalNumber0(X13) ),
inference(duplicate_literal_removal,[],[f1957]) ).
fof(f1957,plain,
! [X11,X12,X13] :
( sdtlseqdt0(X11,sdtasdt0(X12,X13))
| ~ sdtlseqdt0(X11,X12)
| ~ aNaturalNumber0(sdtasdt0(X12,X13))
| ~ aNaturalNumber0(X12)
| ~ aNaturalNumber0(X11)
| sz00 = X13
| ~ aNaturalNumber0(X12)
| ~ aNaturalNumber0(X13) ),
inference(resolution,[],[f184,f152]) ).
fof(f1973,plain,
! [X10,X8,X9] :
( sdtlseqdt0(X8,X9)
| ~ sdtlseqdt0(X8,X10)
| ~ aNaturalNumber0(X9)
| ~ aNaturalNumber0(X10)
| ~ aNaturalNumber0(X8)
| X9 != X10 ),
inference(duplicate_literal_removal,[],[f1956]) ).
fof(f1956,plain,
! [X10,X8,X9] :
( sdtlseqdt0(X8,X9)
| ~ sdtlseqdt0(X8,X10)
| ~ aNaturalNumber0(X9)
| ~ aNaturalNumber0(X10)
| ~ aNaturalNumber0(X8)
| X9 != X10
| ~ aNaturalNumber0(X9)
| ~ aNaturalNumber0(X10) ),
inference(resolution,[],[f184,f150]) ).
fof(f1974,plain,
! [X6,X7,X5] :
( sdtlseqdt0(X5,X6)
| ~ sdtlseqdt0(X5,X7)
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X5)
| sdtlseqdt0(X6,X7) ),
inference(duplicate_literal_removal,[],[f1955]) ).
fof(f1955,plain,
! [X6,X7,X5] :
( sdtlseqdt0(X5,X6)
| ~ sdtlseqdt0(X5,X7)
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X5)
| sdtlseqdt0(X6,X7)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X6) ),
inference(resolution,[],[f184,f151]) ).
fof(f1975,plain,
! [X2,X3,X4] :
( sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X2,X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X3,X4) ),
inference(duplicate_literal_removal,[],[f1954]) ).
fof(f1954,plain,
! [X2,X3,X4] :
( sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X2,X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X3,X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4) ),
inference(resolution,[],[f184,f151]) ).
fof(f184,plain,
! [X2,X0,X1] :
( ~ sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f95]) ).
fof(f95,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/tmp/tmp.6s11TsY2qv/Vampire---4.8_4225',mLETran) ).
fof(f182,plain,
! [X2,X0,X1] :
( ~ doDivides0(X1,X2)
| doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0,X1,X2] :
( doDivides0(X0,X2)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f91]) ).
fof(f91,plain,
! [X0,X1,X2] :
( doDivides0(X0,X2)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X1,X2)
& doDivides0(X0,X1) )
=> doDivides0(X0,X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.6s11TsY2qv/Vampire---4.8_4225',mDivTrans) ).
fof(f158,plain,
! [X0,X1] :
( sz00 != sdtasdt0(X0,X1)
| sz00 = X0
| sz00 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X1] :
( sz00 = X1
| sz00 = X0
| sz00 != sdtasdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f69]) ).
fof(f69,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/tmp/tmp.6s11TsY2qv/Vampire---4.8_4225',mZeroMul) ).
fof(f1617,plain,
( ! [X9] :
( sdtpldt0(sz10,sK3(sz10,X9)) = X9
| ~ aNaturalNumber0(X9)
| sz10 = X9
| sz00 = X9 )
| ~ spl4_9 ),
inference(subsumption_resolution,[],[f1608,f232]) ).
fof(f1608,plain,
! [X9] :
( sdtpldt0(sz10,sK3(sz10,X9)) = X9
| ~ aNaturalNumber0(X9)
| ~ aNaturalNumber0(sz10)
| sz10 = X9
| sz00 = X9 ),
inference(duplicate_literal_removal,[],[f1599]) ).
fof(f1599,plain,
! [X9] :
( sdtpldt0(sz10,sK3(sz10,X9)) = X9
| ~ aNaturalNumber0(X9)
| ~ aNaturalNumber0(sz10)
| sz10 = X9
| sz00 = X9
| ~ aNaturalNumber0(X9) ),
inference(resolution,[],[f172,f143]) ).
fof(f1614,plain,
! [X8,X7] :
( sdtasdt0(X7,X8) = sdtpldt0(X7,sK3(X7,sdtasdt0(X7,X8)))
| ~ aNaturalNumber0(X7)
| sz00 = X8
| ~ aNaturalNumber0(X8) ),
inference(subsumption_resolution,[],[f1609,f147]) ).
fof(f1609,plain,
! [X8,X7] :
( sdtasdt0(X7,X8) = sdtpldt0(X7,sK3(X7,sdtasdt0(X7,X8)))
| ~ aNaturalNumber0(sdtasdt0(X7,X8))
| ~ aNaturalNumber0(X7)
| sz00 = X8
| ~ aNaturalNumber0(X8) ),
inference(duplicate_literal_removal,[],[f1597]) ).
fof(f1597,plain,
! [X8,X7] :
( sdtasdt0(X7,X8) = sdtpldt0(X7,sK3(X7,sdtasdt0(X7,X8)))
| ~ aNaturalNumber0(sdtasdt0(X7,X8))
| ~ aNaturalNumber0(X7)
| sz00 = X8
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) ),
inference(resolution,[],[f172,f152]) ).
fof(f1610,plain,
! [X6,X5] :
( sdtpldt0(X5,sK3(X5,X6)) = X6
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X5)
| X5 != X6 ),
inference(duplicate_literal_removal,[],[f1596]) ).
fof(f1596,plain,
! [X6,X5] :
( sdtpldt0(X5,sK3(X5,X6)) = X6
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X5)
| X5 != X6
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X5) ),
inference(resolution,[],[f172,f150]) ).
fof(f1611,plain,
! [X3,X4] :
( sdtpldt0(X3,sK3(X3,X4)) = X4
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| sdtlseqdt0(X4,X3) ),
inference(duplicate_literal_removal,[],[f1595]) ).
fof(f1595,plain,
! [X3,X4] :
( sdtpldt0(X3,sK3(X3,X4)) = X4
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| sdtlseqdt0(X4,X3)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4) ),
inference(resolution,[],[f172,f151]) ).
fof(f1612,plain,
! [X2,X1] :
( sdtpldt0(X1,sK3(X1,X2)) = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(X2,X1) ),
inference(duplicate_literal_removal,[],[f1594]) ).
fof(f1594,plain,
! [X2,X1] :
( sdtpldt0(X1,sK3(X1,X2)) = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(resolution,[],[f172,f151]) ).
fof(f1613,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sK3(X0,X0)) = X0 ),
inference(duplicate_literal_removal,[],[f1593]) ).
fof(f1593,plain,
! [X0] :
( sdtpldt0(X0,sK3(X0,X0)) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f172,f135]) ).
fof(f172,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| sdtpldt0(X0,sK3(X0,X1)) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f1278,plain,
( sdtlseqdt0(sz00,sz10)
| ~ spl4_114 ),
inference(avatar_component_clause,[],[f1276]) ).
fof(f1567,plain,
! [X0,X1] :
( doDivides0(X0,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(subsumption_resolution,[],[f1490,f147]) ).
fof(f1490,plain,
! [X0,X1] :
( doDivides0(X0,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f170]) ).
fof(f170,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X2) != X1
| doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0,X1] :
( ( ( doDivides0(X0,X1)
| ! [X2] :
( sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) ) )
& ( ( sdtasdt0(X0,sK2(X0,X1)) = X1
& aNaturalNumber0(sK2(X0,X1)) )
| ~ doDivides0(X0,X1) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f107,f108]) ).
fof(f108,plain,
! [X0,X1] :
( ? [X3] :
( sdtasdt0(X0,X3) = X1
& aNaturalNumber0(X3) )
=> ( sdtasdt0(X0,sK2(X0,X1)) = X1
& aNaturalNumber0(sK2(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f107,plain,
! [X0,X1] :
( ( ( doDivides0(X0,X1)
| ! [X2] :
( sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) ) )
& ( ? [X3] :
( sdtasdt0(X0,X3) = X1
& aNaturalNumber0(X3) )
| ~ doDivides0(X0,X1) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(rectify,[],[f106]) ).
fof(f106,plain,
! [X0,X1] :
( ( ( doDivides0(X0,X1)
| ! [X2] :
( sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) ) )
& ( ? [X2] :
( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) )
| ~ doDivides0(X0,X1) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(nnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f79]) ).
fof(f79,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( doDivides0(X0,X1)
<=> ? [X2] :
( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.6s11TsY2qv/Vampire---4.8_4225',mDefDiv) ).
fof(f169,plain,
! [X0,X1] :
( ~ doDivides0(X0,X1)
| sdtasdt0(X0,sK2(X0,X1)) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f1377,plain,
! [X0,X1] :
( aNaturalNumber0(sdtmndt0(X0,X1))
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(equality_resolution,[],[f153]) ).
fof(f153,plain,
! [X2,X0,X1] :
( sdtmndt0(X1,X0) != X2
| aNaturalNumber0(X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f1299,plain,
( ! [X9] :
( ~ sdtlseqdt0(X9,sz10)
| sz10 = X9
| ~ aNaturalNumber0(X9)
| sz00 = X9 )
| ~ spl4_9 ),
inference(subsumption_resolution,[],[f1292,f232]) ).
fof(f1292,plain,
! [X9] :
( sz10 = X9
| ~ sdtlseqdt0(X9,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X9)
| sz00 = X9 ),
inference(duplicate_literal_removal,[],[f1285]) ).
fof(f1285,plain,
! [X9] :
( sz10 = X9
| ~ sdtlseqdt0(X9,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X9)
| sz10 = X9
| sz00 = X9
| ~ aNaturalNumber0(X9) ),
inference(resolution,[],[f167,f143]) ).
fof(f1298,plain,
! [X8,X7] :
( sdtasdt0(X7,X8) = X7
| ~ sdtlseqdt0(sdtasdt0(X7,X8),X7)
| ~ aNaturalNumber0(X7)
| sz00 = X8
| ~ aNaturalNumber0(X8) ),
inference(subsumption_resolution,[],[f1293,f147]) ).
fof(f1293,plain,
! [X8,X7] :
( sdtasdt0(X7,X8) = X7
| ~ sdtlseqdt0(sdtasdt0(X7,X8),X7)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(sdtasdt0(X7,X8))
| sz00 = X8
| ~ aNaturalNumber0(X8) ),
inference(duplicate_literal_removal,[],[f1284]) ).
fof(f1284,plain,
! [X8,X7] :
( sdtasdt0(X7,X8) = X7
| ~ sdtlseqdt0(sdtasdt0(X7,X8),X7)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(sdtasdt0(X7,X8))
| sz00 = X8
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) ),
inference(resolution,[],[f167,f152]) ).
fof(f159,plain,
! [X0,X1] :
( iLess0(X0,X1)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0,X1] :
( iLess0(X0,X1)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f71]) ).
fof(f71,plain,
! [X0,X1] :
( iLess0(X0,X1)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X0,X1)
& X0 != X1 )
=> iLess0(X0,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.6s11TsY2qv/Vampire---4.8_4225',mIH_03) ).
fof(f157,plain,
! [X0,X1] :
( sz00 != sdtpldt0(X0,X1)
| sz00 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0,X1] :
( ( sz00 = X1
& sz00 = X0 )
| sz00 != sdtpldt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f67]) ).
fof(f67,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/tmp/tmp.6s11TsY2qv/Vampire---4.8_4225',mZeroAdd) ).
fof(f156,plain,
! [X0,X1] :
( sz00 != sdtpldt0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f152,plain,
! [X0,X1] :
( sdtlseqdt0(X1,sdtasdt0(X1,X0))
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0,X1] :
( sdtlseqdt0(X1,sdtasdt0(X1,X0))
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f63]) ).
fof(f63,plain,
! [X0,X1] :
( sdtlseqdt0(X1,sdtasdt0(X1,X0))
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sz00 != X0
=> sdtlseqdt0(X1,sdtasdt0(X1,X0)) ) ),
file('/export/starexec/sandbox/tmp/tmp.6s11TsY2qv/Vampire---4.8_4225',mMonMul2) ).
fof(f889,plain,
! [X16,X17,X15] :
( ~ sdtlseqdt0(X15,X16)
| ~ aNaturalNumber0(X16)
| ~ aNaturalNumber0(X15)
| sdtasdt0(X17,sK3(X15,X16)) = sdtasdt0(sK3(X15,X16),X17)
| ~ aNaturalNumber0(X17) ),
inference(resolution,[],[f171,f149]) ).
fof(f888,plain,
! [X14,X12,X13] :
( ~ sdtlseqdt0(X12,X13)
| ~ aNaturalNumber0(X13)
| ~ aNaturalNumber0(X12)
| sdtpldt0(X14,sK3(X12,X13)) = sdtpldt0(sK3(X12,X13),X14)
| ~ aNaturalNumber0(X14) ),
inference(resolution,[],[f171,f148]) ).
fof(f887,plain,
! [X10,X11] :
( ~ sdtlseqdt0(X10,X11)
| ~ aNaturalNumber0(X11)
| ~ aNaturalNumber0(X10)
| sK3(X10,X11) = sdtasdt0(sz10,sK3(X10,X11)) ),
inference(resolution,[],[f171,f141]) ).
fof(f886,plain,
! [X8,X9] :
( ~ sdtlseqdt0(X8,X9)
| ~ aNaturalNumber0(X9)
| ~ aNaturalNumber0(X8)
| sK3(X8,X9) = sdtasdt0(sK3(X8,X9),sz10) ),
inference(resolution,[],[f171,f140]) ).
fof(f885,plain,
! [X6,X7] :
( ~ sdtlseqdt0(X6,X7)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X6)
| sK3(X6,X7) = sdtpldt0(sz00,sK3(X6,X7)) ),
inference(resolution,[],[f171,f139]) ).
fof(f884,plain,
! [X4,X5] :
( ~ sdtlseqdt0(X4,X5)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X4)
| sK3(X4,X5) = sdtpldt0(sK3(X4,X5),sz00) ),
inference(resolution,[],[f171,f138]) ).
fof(f883,plain,
! [X2,X3] :
( ~ sdtlseqdt0(X2,X3)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| sz00 = sdtasdt0(sz00,sK3(X2,X3)) ),
inference(resolution,[],[f171,f137]) ).
fof(f882,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sK3(X0,X1),sz00) ),
inference(resolution,[],[f171,f136]) ).
fof(f171,plain,
! [X0,X1] :
( aNaturalNumber0(sK3(X0,X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f842,plain,
! [X16,X17,X15] :
( ~ doDivides0(X15,X16)
| ~ aNaturalNumber0(X16)
| ~ aNaturalNumber0(X15)
| sdtasdt0(X17,sK2(X15,X16)) = sdtasdt0(sK2(X15,X16),X17)
| ~ aNaturalNumber0(X17) ),
inference(resolution,[],[f168,f149]) ).
fof(f841,plain,
! [X14,X12,X13] :
( ~ doDivides0(X12,X13)
| ~ aNaturalNumber0(X13)
| ~ aNaturalNumber0(X12)
| sdtpldt0(X14,sK2(X12,X13)) = sdtpldt0(sK2(X12,X13),X14)
| ~ aNaturalNumber0(X14) ),
inference(resolution,[],[f168,f148]) ).
fof(f840,plain,
! [X10,X11] :
( ~ doDivides0(X10,X11)
| ~ aNaturalNumber0(X11)
| ~ aNaturalNumber0(X10)
| sK2(X10,X11) = sdtasdt0(sz10,sK2(X10,X11)) ),
inference(resolution,[],[f168,f141]) ).
fof(f839,plain,
! [X8,X9] :
( ~ doDivides0(X8,X9)
| ~ aNaturalNumber0(X9)
| ~ aNaturalNumber0(X8)
| sK2(X8,X9) = sdtasdt0(sK2(X8,X9),sz10) ),
inference(resolution,[],[f168,f140]) ).
fof(f838,plain,
! [X6,X7] :
( ~ doDivides0(X6,X7)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X6)
| sK2(X6,X7) = sdtpldt0(sz00,sK2(X6,X7)) ),
inference(resolution,[],[f168,f139]) ).
fof(f837,plain,
! [X4,X5] :
( ~ doDivides0(X4,X5)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X4)
| sK2(X4,X5) = sdtpldt0(sK2(X4,X5),sz00) ),
inference(resolution,[],[f168,f138]) ).
fof(f836,plain,
! [X2,X3] :
( ~ doDivides0(X2,X3)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| sz00 = sdtasdt0(sz00,sK2(X2,X3)) ),
inference(resolution,[],[f168,f137]) ).
fof(f835,plain,
! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sK2(X0,X1),sz00) ),
inference(resolution,[],[f168,f136]) ).
fof(f168,plain,
! [X0,X1] :
( aNaturalNumber0(sK2(X0,X1))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f783,plain,
! [X8,X6,X7] :
( sdtasdt0(X6,sdtasdt0(X7,X8)) = sdtasdt0(sdtasdt0(X7,X8),X6)
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X8)
| ~ aNaturalNumber0(X7) ),
inference(resolution,[],[f149,f147]) ).
fof(f781,plain,
! [X2,X3,X4] :
( sdtasdt0(X2,sdtpldt0(X3,X4)) = sdtasdt0(sdtpldt0(X3,X4),X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3) ),
inference(resolution,[],[f149,f146]) ).
fof(f780,plain,
( ! [X1] :
( ~ aNaturalNumber0(X1)
| sdtasdt0(X1,sz10) = sdtasdt0(sz10,X1) )
| ~ spl4_9 ),
inference(resolution,[],[f149,f232]) ).
fof(f779,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sz00) = sdtasdt0(sz00,X0) )
| ~ spl4_8 ),
inference(resolution,[],[f149,f227]) ).
fof(f149,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f59]) ).
fof(f59,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/tmp/tmp.6s11TsY2qv/Vampire---4.8_4225',mMulComm) ).
fof(f720,plain,
! [X8,X6,X7] :
( sdtpldt0(X6,sdtasdt0(X7,X8)) = sdtpldt0(sdtasdt0(X7,X8),X6)
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X8)
| ~ aNaturalNumber0(X7) ),
inference(resolution,[],[f148,f147]) ).
fof(f718,plain,
! [X2,X3,X4] :
( sdtpldt0(X2,sdtpldt0(X3,X4)) = sdtpldt0(sdtpldt0(X3,X4),X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3) ),
inference(resolution,[],[f148,f146]) ).
fof(f717,plain,
( ! [X1] :
( ~ aNaturalNumber0(X1)
| sdtpldt0(X1,sz10) = sdtpldt0(sz10,X1) )
| ~ spl4_9 ),
inference(resolution,[],[f148,f232]) ).
fof(f716,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sz00) = sdtpldt0(sz00,X0) )
| ~ spl4_8 ),
inference(resolution,[],[f148,f227]) ).
fof(f148,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f57]) ).
fof(f57,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/tmp/tmp.6s11TsY2qv/Vampire---4.8_4225',mAddComm) ).
fof(f679,plain,
( sz10 = sdtpldt0(sz00,sz10)
| ~ spl4_71 ),
inference(avatar_component_clause,[],[f677]) ).
fof(f143,plain,
! [X0] :
( sdtlseqdt0(sz10,X0)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0] :
( ( sdtlseqdt0(sz10,X0)
& sz10 != X0 )
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f49]) ).
fof(f49,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/tmp/tmp.6s11TsY2qv/Vampire---4.8_4225',mLENTr) ).
fof(f482,plain,
( sz10 = sdtasdt0(sz10,sz10)
| ~ spl4_9 ),
inference(resolution,[],[f141,f232]) ).
fof(f481,plain,
( sz00 = sdtasdt0(sz10,sz00)
| ~ spl4_8 ),
inference(resolution,[],[f141,f227]) ).
fof(f436,plain,
( sz10 = sdtasdt0(sz10,sz10)
| ~ spl4_9 ),
inference(resolution,[],[f140,f232]) ).
fof(f435,plain,
( sz00 = sdtasdt0(sz00,sz10)
| ~ spl4_8 ),
inference(resolution,[],[f140,f227]) ).
fof(f402,plain,
( sz10 = sdtpldt0(sz00,sz10)
| ~ spl4_9 ),
inference(resolution,[],[f139,f232]) ).
fof(f401,plain,
( sz00 = sdtpldt0(sz00,sz00)
| ~ spl4_8 ),
inference(resolution,[],[f139,f227]) ).
fof(f363,plain,
( sz10 = sdtpldt0(sz10,sz00)
| ~ spl4_9 ),
inference(resolution,[],[f138,f232]) ).
fof(f362,plain,
( sz00 = sdtpldt0(sz00,sz00)
| ~ spl4_8 ),
inference(resolution,[],[f138,f227]) ).
fof(f329,plain,
( sz00 = sdtasdt0(sz00,sz10)
| ~ spl4_9 ),
inference(resolution,[],[f137,f232]) ).
fof(f328,plain,
( sz00 = sdtasdt0(sz00,sz00)
| ~ spl4_8 ),
inference(resolution,[],[f137,f227]) ).
fof(f290,plain,
( sz00 = sdtasdt0(sz10,sz00)
| ~ spl4_9 ),
inference(resolution,[],[f136,f232]) ).
fof(f289,plain,
( sz00 = sdtasdt0(sz00,sz00)
| ~ spl4_8 ),
inference(resolution,[],[f136,f227]) ).
fof(f150,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| X0 != X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f585,plain,
! [X10,X11] :
( ~ aNaturalNumber0(X11)
| ~ aNaturalNumber0(X10)
| sz00 = sdtasdt0(sdtasdt0(X11,X10),sz00) ),
inference(resolution,[],[f147,f136]) ).
fof(f584,plain,
! [X8,X9] :
( ~ aNaturalNumber0(X9)
| ~ aNaturalNumber0(X8)
| sz00 = sdtasdt0(sz00,sdtasdt0(X9,X8)) ),
inference(resolution,[],[f147,f137]) ).
fof(f583,plain,
! [X6,X7] :
( ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| sdtasdt0(X7,X6) = sdtpldt0(sdtasdt0(X7,X6),sz00) ),
inference(resolution,[],[f147,f138]) ).
fof(f582,plain,
! [X4,X5] :
( ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| sdtasdt0(X5,X4) = sdtpldt0(sz00,sdtasdt0(X5,X4)) ),
inference(resolution,[],[f147,f139]) ).
fof(f581,plain,
! [X2,X3] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X2) = sdtasdt0(sdtasdt0(X3,X2),sz10) ),
inference(resolution,[],[f147,f140]) ).
fof(f580,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X1,X0) = sdtasdt0(sz10,sdtasdt0(X1,X0)) ),
inference(resolution,[],[f147,f141]) ).
fof(f147,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f55]) ).
fof(f55,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/tmp/tmp.6s11TsY2qv/Vampire---4.8_4225',mSortsB_02) ).
fof(f530,plain,
! [X10,X11] :
( ~ aNaturalNumber0(X11)
| ~ aNaturalNumber0(X10)
| sz00 = sdtasdt0(sdtpldt0(X11,X10),sz00) ),
inference(resolution,[],[f146,f136]) ).
fof(f529,plain,
! [X8,X9] :
( ~ aNaturalNumber0(X9)
| ~ aNaturalNumber0(X8)
| sz00 = sdtasdt0(sz00,sdtpldt0(X9,X8)) ),
inference(resolution,[],[f146,f137]) ).
fof(f528,plain,
! [X6,X7] :
( ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| sdtpldt0(X7,X6) = sdtpldt0(sdtpldt0(X7,X6),sz00) ),
inference(resolution,[],[f146,f138]) ).
fof(f527,plain,
! [X4,X5] :
( ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| sdtpldt0(X5,X4) = sdtpldt0(sz00,sdtpldt0(X5,X4)) ),
inference(resolution,[],[f146,f139]) ).
fof(f526,plain,
! [X2,X3] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtpldt0(X3,X2) = sdtasdt0(sdtpldt0(X3,X2),sz10) ),
inference(resolution,[],[f146,f140]) ).
fof(f525,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,X0) = sdtasdt0(sz10,sdtpldt0(X1,X0)) ),
inference(resolution,[],[f146,f141]) ).
fof(f141,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sz10,X0) = X0 ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,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/tmp/tmp.6s11TsY2qv/Vampire---4.8_4225',m_MulUnit) ).
fof(f140,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sz10) = X0 ),
inference(cnf_transformation,[],[f48]) ).
fof(f139,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sz00,X0) = X0 ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,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/tmp/tmp.6s11TsY2qv/Vampire---4.8_4225',m_AddZero) ).
fof(f138,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sz00) = X0 ),
inference(cnf_transformation,[],[f47]) ).
fof(f137,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,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/tmp/tmp.6s11TsY2qv/Vampire---4.8_4225',m_MulZero) ).
fof(f136,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(X0,sz00) ),
inference(cnf_transformation,[],[f46]) ).
fof(f130,plain,
sdtpldt0(xm,xn) = sdtasdt0(xl,sK0),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
( doDivides0(xl,sdtpldt0(xm,xn))
& sdtpldt0(xm,xn) = sdtasdt0(xl,sK0)
& aNaturalNumber0(sK0)
& doDivides0(xl,xm)
& xm = sdtasdt0(xl,sK1)
& aNaturalNumber0(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f41,f100,f99]) ).
fof(f99,plain,
( ? [X0] :
( sdtasdt0(xl,X0) = sdtpldt0(xm,xn)
& aNaturalNumber0(X0) )
=> ( sdtpldt0(xm,xn) = sdtasdt0(xl,sK0)
& aNaturalNumber0(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f100,plain,
( ? [X1] :
( xm = sdtasdt0(xl,X1)
& aNaturalNumber0(X1) )
=> ( xm = sdtasdt0(xl,sK1)
& aNaturalNumber0(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f41,plain,
( doDivides0(xl,sdtpldt0(xm,xn))
& ? [X0] :
( sdtasdt0(xl,X0) = sdtpldt0(xm,xn)
& aNaturalNumber0(X0) )
& doDivides0(xl,xm)
& ? [X1] :
( xm = sdtasdt0(xl,X1)
& aNaturalNumber0(X1) ) ),
inference(rectify,[],[f35]) ).
fof(f35,axiom,
( doDivides0(xl,sdtpldt0(xm,xn))
& ? [X0] :
( sdtasdt0(xl,X0) = sdtpldt0(xm,xn)
& aNaturalNumber0(X0) )
& doDivides0(xl,xm)
& ? [X0] :
( xm = sdtasdt0(xl,X0)
& aNaturalNumber0(X0) ) ),
file('/export/starexec/sandbox/tmp/tmp.6s11TsY2qv/Vampire---4.8_4225',m__1324_04) ).
fof(f122,plain,
xq = sdtsldt0(sdtpldt0(xm,xn),xl),
inference(cnf_transformation,[],[f38]) ).
fof(f38,axiom,
( xq = sdtsldt0(sdtpldt0(xm,xn),xl)
& sdtpldt0(xm,xn) = sdtasdt0(xl,xq)
& aNaturalNumber0(xq) ),
file('/export/starexec/sandbox/tmp/tmp.6s11TsY2qv/Vampire---4.8_4225',m__1379) ).
fof(f121,plain,
sdtpldt0(xm,xn) = sdtasdt0(xl,xq),
inference(cnf_transformation,[],[f38]) ).
fof(f114,plain,
! [X0] :
( xq != sdtpldt0(xp,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
( ~ sdtlseqdt0(xp,xq)
& ! [X0] :
( xq != sdtpldt0(xp,X0)
| ~ aNaturalNumber0(X0) ) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,negated_conjecture,
~ ( sdtlseqdt0(xp,xq)
| ? [X0] :
( xq = sdtpldt0(xp,X0)
& aNaturalNumber0(X0) ) ),
inference(negated_conjecture,[],[f39]) ).
fof(f39,conjecture,
( sdtlseqdt0(xp,xq)
| ? [X0] :
( xq = sdtpldt0(xp,X0)
& aNaturalNumber0(X0) ) ),
file('/export/starexec/sandbox/tmp/tmp.6s11TsY2qv/Vampire---4.8_4225',m__) ).
fof(f135,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox/tmp/tmp.6s11TsY2qv/Vampire---4.8_4225',mLERefl) ).
fof(f131,plain,
doDivides0(xl,sdtpldt0(xm,xn)),
inference(cnf_transformation,[],[f101]) ).
fof(f127,plain,
xm = sdtasdt0(xl,sK1),
inference(cnf_transformation,[],[f101]) ).
fof(f119,plain,
xp = sdtsldt0(xm,xl),
inference(cnf_transformation,[],[f37]) ).
fof(f37,axiom,
( xp = sdtsldt0(xm,xl)
& xm = sdtasdt0(xl,xp)
& aNaturalNumber0(xp) ),
file('/export/starexec/sandbox/tmp/tmp.6s11TsY2qv/Vampire---4.8_4225',m__1360) ).
fof(f118,plain,
xm = sdtasdt0(xl,xp),
inference(cnf_transformation,[],[f37]) ).
fof(f134,plain,
sz00 != sz10,
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( sz00 != sz10
& aNaturalNumber0(sz10) ),
file('/export/starexec/sandbox/tmp/tmp.6s11TsY2qv/Vampire---4.8_4225',mSortsC_01) ).
fof(f128,plain,
doDivides0(xl,xm),
inference(cnf_transformation,[],[f101]) ).
fof(f116,plain,
sz00 != xl,
inference(cnf_transformation,[],[f36]) ).
fof(f36,axiom,
sz00 != xl,
file('/export/starexec/sandbox/tmp/tmp.6s11TsY2qv/Vampire---4.8_4225',m__1347) ).
fof(f115,plain,
~ sdtlseqdt0(xp,xq),
inference(cnf_transformation,[],[f44]) ).
fof(f232,plain,
( aNaturalNumber0(sz10)
| ~ spl4_9 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f133,plain,
aNaturalNumber0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f132,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/tmp/tmp.6s11TsY2qv/Vampire---4.8_4225',mSortsC) ).
fof(f129,plain,
aNaturalNumber0(sK0),
inference(cnf_transformation,[],[f101]) ).
fof(f126,plain,
aNaturalNumber0(sK1),
inference(cnf_transformation,[],[f101]) ).
fof(f125,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f34]) ).
fof(f34,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xl) ),
file('/export/starexec/sandbox/tmp/tmp.6s11TsY2qv/Vampire---4.8_4225',m__1324) ).
fof(f124,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f34]) ).
fof(f123,plain,
aNaturalNumber0(xl),
inference(cnf_transformation,[],[f34]) ).
fof(f120,plain,
aNaturalNumber0(xq),
inference(cnf_transformation,[],[f38]) ).
fof(f117,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f37]) ).
fof(f188,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
| X1 = X2
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption,[],[f115,f114,f116,f119,f118,f117,f122,f121,f120,f125,f124,f123,f131,f130,f129,f128,f127,f126,f132,f134,f133,f135,f137,f136,f139,f138,f141,f140,f143,f145,f144,f146,f147,f148,f149,f151,f150,f152,f155,f154,f153,f157,f156,f158,f159,f163,f162,f161,f160,f166,f165,f164,f167,f170,f169,f168,f173,f172,f171,f174,f175,f177,f176,f181,f180,f187,f179,f178]) ).
fof(f178,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f187,plain,
! [X2,X0,X1] :
( sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
| X1 = X2
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption,[],[f115,f114,f116,f119,f118,f117,f122,f121,f120,f125,f124,f123,f131,f130,f129,f128,f127,f126,f132,f134,f133,f135,f137,f136,f139,f138,f141,f140,f143,f145,f144,f146,f147,f148,f149,f151,f150,f152,f155,f154,f153,f157,f156,f158,f159,f163,f162,f161,f160,f166,f165,f164,f167,f170,f169,f168,f173,f172,f171,f174,f175,f177,f176,f181,f180]) ).
fof(f180,plain,
! [X2,X0,X1] :
( sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f181,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,[],[f90]) ).
fof(f176,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,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,[],[f87]) ).
fof(f87,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/tmp/tmp.6s11TsY2qv/Vampire---4.8_4225',mAMDistr) ).
fof(f177,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f165,plain,
! [X2,X0,X1] :
( sdtsldt0(X1,X0) != X2
| sdtasdt0(X0,X2) = X1
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f166,plain,
! [X2,X0,X1] :
( sdtsldt0(X1,X0) = X2
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f160,plain,
! [X2,X0,X1] :
( sdtpldt0(X2,X0) != sdtpldt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f162,plain,
! [X2,X0,X1] :
( sdtpldt0(X1,X2) != sdtpldt0(X0,X2)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f155,plain,
! [X2,X0,X1] :
( sdtmndt0(X1,X0) = X2
| sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f4472,plain,
( ! [X38] :
( sdtlseqdt0(sdtpldt0(X38,sK3(sz00,xq)),xq)
| ~ aNaturalNumber0(sK3(sz00,xq))
| ~ sdtlseqdt0(X38,sz00)
| sz00 = X38
| ~ aNaturalNumber0(X38) )
| ~ spl4_8
| ~ spl4_123 ),
inference(subsumption_resolution,[],[f4286,f227]) ).
fof(f4286,plain,
( ! [X38] :
( sdtlseqdt0(sdtpldt0(X38,sK3(sz00,xq)),xq)
| ~ aNaturalNumber0(sK3(sz00,xq))
| ~ sdtlseqdt0(X38,sz00)
| sz00 = X38
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X38) )
| ~ spl4_123 ),
inference(superposition,[],[f163,f1776]) ).
fof(f1776,plain,
( xq = sdtpldt0(sz00,sK3(sz00,xq))
| ~ spl4_123 ),
inference(avatar_component_clause,[],[f1774]) ).
fof(f5198,plain,
( ! [X36] :
( sdtlseqdt0(sz00,sdtasdt0(xq,X36))
| ~ sdtlseqdt0(sz00,X36)
| sz00 = X36
| ~ aNaturalNumber0(X36) )
| ~ spl4_2
| ~ spl4_8
| ~ spl4_25
| spl4_102 ),
inference(subsumption_resolution,[],[f5197,f197]) ).
fof(f5197,plain,
( ! [X36] :
( sdtlseqdt0(sz00,sdtasdt0(xq,X36))
| ~ sdtlseqdt0(sz00,X36)
| sz00 = X36
| ~ aNaturalNumber0(X36)
| ~ aNaturalNumber0(xq) )
| ~ spl4_8
| ~ spl4_25
| spl4_102 ),
inference(subsumption_resolution,[],[f5196,f227]) ).
fof(f5196,plain,
( ! [X36] :
( sdtlseqdt0(sz00,sdtasdt0(xq,X36))
| ~ sdtlseqdt0(sz00,X36)
| sz00 = X36
| ~ aNaturalNumber0(X36)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xq) )
| ~ spl4_25
| spl4_102 ),
inference(subsumption_resolution,[],[f5062,f1051]) ).
fof(f1051,plain,
( sz00 != xq
| spl4_102 ),
inference(avatar_component_clause,[],[f1049]) ).
fof(f5062,plain,
( ! [X36] :
( sdtlseqdt0(sz00,sdtasdt0(xq,X36))
| ~ sdtlseqdt0(sz00,X36)
| sz00 = X36
| sz00 = xq
| ~ aNaturalNumber0(X36)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xq) )
| ~ spl4_25 ),
inference(superposition,[],[f179,f321]) ).
fof(f321,plain,
( sz00 = sdtasdt0(xq,sz00)
| ~ spl4_25 ),
inference(avatar_component_clause,[],[f319]) ).
fof(f11681,plain,
( spl4_427
| ~ spl4_2
| ~ spl4_5
| ~ spl4_8
| ~ spl4_9
| ~ spl4_25
| ~ spl4_71
| spl4_102
| ~ spl4_114
| spl4_115
| ~ spl4_123
| ~ spl4_244 ),
inference(avatar_split_clause,[],[f11669,f6874,f1774,f1313,f1276,f1049,f677,f319,f230,f225,f210,f195,f11678]) ).
fof(f11678,plain,
( spl4_427
<=> sdtlseqdt0(sz00,sdtasdt0(xn,xq)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_427])]) ).
fof(f1313,plain,
( spl4_115
<=> sz00 = xn ),
introduced(avatar_definition,[new_symbols(naming,[spl4_115])]) ).
fof(f6874,plain,
( spl4_244
<=> sdtasdt0(xq,xn) = sdtasdt0(xn,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_244])]) ).
fof(f11669,plain,
( sdtlseqdt0(sz00,sdtasdt0(xn,xq))
| ~ spl4_2
| ~ spl4_5
| ~ spl4_8
| ~ spl4_9
| ~ spl4_25
| ~ spl4_71
| spl4_102
| ~ spl4_114
| spl4_115
| ~ spl4_123
| ~ spl4_244 ),
inference(subsumption_resolution,[],[f11668,f212]) ).
fof(f11668,plain,
( sdtlseqdt0(sz00,sdtasdt0(xn,xq))
| ~ aNaturalNumber0(xn)
| ~ spl4_2
| ~ spl4_8
| ~ spl4_9
| ~ spl4_25
| ~ spl4_71
| spl4_102
| ~ spl4_114
| spl4_115
| ~ spl4_123
| ~ spl4_244 ),
inference(subsumption_resolution,[],[f11660,f1314]) ).
fof(f1314,plain,
( sz00 != xn
| spl4_115 ),
inference(avatar_component_clause,[],[f1313]) ).
fof(f11660,plain,
( sdtlseqdt0(sz00,sdtasdt0(xn,xq))
| sz00 = xn
| ~ aNaturalNumber0(xn)
| ~ spl4_2
| ~ spl4_8
| ~ spl4_9
| ~ spl4_25
| ~ spl4_71
| spl4_102
| ~ spl4_114
| ~ spl4_123
| ~ spl4_244 ),
inference(superposition,[],[f5199,f6876]) ).
fof(f6876,plain,
( sdtasdt0(xq,xn) = sdtasdt0(xn,xq)
| ~ spl4_244 ),
inference(avatar_component_clause,[],[f6874]) ).
fof(f11676,plain,
( spl4_426
| ~ spl4_2
| ~ spl4_4
| ~ spl4_8
| ~ spl4_9
| ~ spl4_25
| ~ spl4_71
| spl4_102
| spl4_106
| ~ spl4_114
| ~ spl4_123
| ~ spl4_240 ),
inference(avatar_split_clause,[],[f11667,f6829,f1774,f1276,f1148,f1049,f677,f319,f230,f225,f205,f195,f11673]) ).
fof(f11673,plain,
( spl4_426
<=> sdtlseqdt0(sz00,sdtasdt0(xm,xq)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_426])]) ).
fof(f1148,plain,
( spl4_106
<=> sz00 = xm ),
introduced(avatar_definition,[new_symbols(naming,[spl4_106])]) ).
fof(f6829,plain,
( spl4_240
<=> sdtasdt0(xq,xm) = sdtasdt0(xm,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_240])]) ).
fof(f11667,plain,
( sdtlseqdt0(sz00,sdtasdt0(xm,xq))
| ~ spl4_2
| ~ spl4_4
| ~ spl4_8
| ~ spl4_9
| ~ spl4_25
| ~ spl4_71
| spl4_102
| spl4_106
| ~ spl4_114
| ~ spl4_123
| ~ spl4_240 ),
inference(subsumption_resolution,[],[f11666,f207]) ).
fof(f11666,plain,
( sdtlseqdt0(sz00,sdtasdt0(xm,xq))
| ~ aNaturalNumber0(xm)
| ~ spl4_2
| ~ spl4_8
| ~ spl4_9
| ~ spl4_25
| ~ spl4_71
| spl4_102
| spl4_106
| ~ spl4_114
| ~ spl4_123
| ~ spl4_240 ),
inference(subsumption_resolution,[],[f11659,f1149]) ).
fof(f1149,plain,
( sz00 != xm
| spl4_106 ),
inference(avatar_component_clause,[],[f1148]) ).
fof(f11659,plain,
( sdtlseqdt0(sz00,sdtasdt0(xm,xq))
| sz00 = xm
| ~ aNaturalNumber0(xm)
| ~ spl4_2
| ~ spl4_8
| ~ spl4_9
| ~ spl4_25
| ~ spl4_71
| spl4_102
| ~ spl4_114
| ~ spl4_123
| ~ spl4_240 ),
inference(superposition,[],[f5199,f6831]) ).
fof(f6831,plain,
( sdtasdt0(xq,xm) = sdtasdt0(xm,xq)
| ~ spl4_240 ),
inference(avatar_component_clause,[],[f6829]) ).
fof(f11642,plain,
( spl4_425
| ~ spl4_1
| ~ spl4_5
| ~ spl4_8
| ~ spl4_9
| ~ spl4_24
| ~ spl4_71
| spl4_98
| ~ spl4_114
| spl4_115
| ~ spl4_123
| ~ spl4_243 ),
inference(avatar_split_clause,[],[f11632,f6869,f1774,f1313,f1276,f997,f677,f314,f230,f225,f210,f190,f11639]) ).
fof(f11639,plain,
( spl4_425
<=> sdtlseqdt0(sz00,sdtasdt0(xn,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_425])]) ).
fof(f314,plain,
( spl4_24
<=> sz00 = sdtasdt0(xp,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_24])]) ).
fof(f6869,plain,
( spl4_243
<=> sdtasdt0(xp,xn) = sdtasdt0(xn,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_243])]) ).
fof(f11632,plain,
( sdtlseqdt0(sz00,sdtasdt0(xn,xp))
| ~ spl4_1
| ~ spl4_5
| ~ spl4_8
| ~ spl4_9
| ~ spl4_24
| ~ spl4_71
| spl4_98
| ~ spl4_114
| spl4_115
| ~ spl4_123
| ~ spl4_243 ),
inference(subsumption_resolution,[],[f11631,f212]) ).
fof(f11631,plain,
( sdtlseqdt0(sz00,sdtasdt0(xn,xp))
| ~ aNaturalNumber0(xn)
| ~ spl4_1
| ~ spl4_8
| ~ spl4_9
| ~ spl4_24
| ~ spl4_71
| spl4_98
| ~ spl4_114
| spl4_115
| ~ spl4_123
| ~ spl4_243 ),
inference(subsumption_resolution,[],[f11623,f1314]) ).
fof(f11623,plain,
( sdtlseqdt0(sz00,sdtasdt0(xn,xp))
| sz00 = xn
| ~ aNaturalNumber0(xn)
| ~ spl4_1
| ~ spl4_8
| ~ spl4_9
| ~ spl4_24
| ~ spl4_71
| spl4_98
| ~ spl4_114
| ~ spl4_123
| ~ spl4_243 ),
inference(superposition,[],[f5192,f6871]) ).
fof(f6871,plain,
( sdtasdt0(xp,xn) = sdtasdt0(xn,xp)
| ~ spl4_243 ),
inference(avatar_component_clause,[],[f6869]) ).
fof(f5192,plain,
( ! [X34] :
( sdtlseqdt0(sz00,sdtasdt0(xp,X34))
| sz00 = X34
| ~ aNaturalNumber0(X34) )
| ~ spl4_1
| ~ spl4_8
| ~ spl4_9
| ~ spl4_24
| ~ spl4_71
| spl4_98
| ~ spl4_114
| ~ spl4_123 ),
inference(subsumption_resolution,[],[f5191,f4510]) ).
fof(f5191,plain,
( ! [X34] :
( sdtlseqdt0(sz00,sdtasdt0(xp,X34))
| ~ sdtlseqdt0(sz00,X34)
| sz00 = X34
| ~ aNaturalNumber0(X34) )
| ~ spl4_1
| ~ spl4_8
| ~ spl4_24
| spl4_98 ),
inference(subsumption_resolution,[],[f5190,f192]) ).
fof(f5190,plain,
( ! [X34] :
( sdtlseqdt0(sz00,sdtasdt0(xp,X34))
| ~ sdtlseqdt0(sz00,X34)
| sz00 = X34
| ~ aNaturalNumber0(X34)
| ~ aNaturalNumber0(xp) )
| ~ spl4_8
| ~ spl4_24
| spl4_98 ),
inference(subsumption_resolution,[],[f5189,f227]) ).
fof(f5189,plain,
( ! [X34] :
( sdtlseqdt0(sz00,sdtasdt0(xp,X34))
| ~ sdtlseqdt0(sz00,X34)
| sz00 = X34
| ~ aNaturalNumber0(X34)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp) )
| ~ spl4_24
| spl4_98 ),
inference(subsumption_resolution,[],[f5060,f998]) ).
fof(f5060,plain,
( ! [X34] :
( sdtlseqdt0(sz00,sdtasdt0(xp,X34))
| ~ sdtlseqdt0(sz00,X34)
| sz00 = X34
| sz00 = xp
| ~ aNaturalNumber0(X34)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp) )
| ~ spl4_24 ),
inference(superposition,[],[f179,f316]) ).
fof(f316,plain,
( sz00 = sdtasdt0(xp,sz00)
| ~ spl4_24 ),
inference(avatar_component_clause,[],[f314]) ).
fof(f11637,plain,
( spl4_424
| ~ spl4_1
| ~ spl4_4
| ~ spl4_8
| ~ spl4_9
| ~ spl4_24
| ~ spl4_71
| spl4_98
| spl4_106
| ~ spl4_114
| ~ spl4_123
| ~ spl4_239 ),
inference(avatar_split_clause,[],[f11630,f6824,f1774,f1276,f1148,f997,f677,f314,f230,f225,f205,f190,f11634]) ).
fof(f11634,plain,
( spl4_424
<=> sdtlseqdt0(sz00,sdtasdt0(xm,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_424])]) ).
fof(f6824,plain,
( spl4_239
<=> sdtasdt0(xp,xm) = sdtasdt0(xm,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_239])]) ).
fof(f11630,plain,
( sdtlseqdt0(sz00,sdtasdt0(xm,xp))
| ~ spl4_1
| ~ spl4_4
| ~ spl4_8
| ~ spl4_9
| ~ spl4_24
| ~ spl4_71
| spl4_98
| spl4_106
| ~ spl4_114
| ~ spl4_123
| ~ spl4_239 ),
inference(subsumption_resolution,[],[f11629,f207]) ).
fof(f11629,plain,
( sdtlseqdt0(sz00,sdtasdt0(xm,xp))
| ~ aNaturalNumber0(xm)
| ~ spl4_1
| ~ spl4_8
| ~ spl4_9
| ~ spl4_24
| ~ spl4_71
| spl4_98
| spl4_106
| ~ spl4_114
| ~ spl4_123
| ~ spl4_239 ),
inference(subsumption_resolution,[],[f11622,f1149]) ).
fof(f11622,plain,
( sdtlseqdt0(sz00,sdtasdt0(xm,xp))
| sz00 = xm
| ~ aNaturalNumber0(xm)
| ~ spl4_1
| ~ spl4_8
| ~ spl4_9
| ~ spl4_24
| ~ spl4_71
| spl4_98
| ~ spl4_114
| ~ spl4_123
| ~ spl4_239 ),
inference(superposition,[],[f5192,f6826]) ).
fof(f6826,plain,
( sdtasdt0(xp,xm) = sdtasdt0(xm,xp)
| ~ spl4_239 ),
inference(avatar_component_clause,[],[f6824]) ).
fof(f11613,plain,
( ~ spl4_421
| ~ spl4_1
| ~ spl4_2
| ~ spl4_3
| ~ spl4_4
| ~ spl4_8
| spl4_11
| ~ spl4_12
| ~ spl4_14
| ~ spl4_15
| ~ spl4_17
| ~ spl4_19
| ~ spl4_45
| ~ spl4_46
| spl4_49
| ~ spl4_64
| ~ spl4_69
| ~ spl4_332
| ~ spl4_404 ),
inference(avatar_split_clause,[],[f11591,f10757,f8659,f665,f609,f477,f460,f455,f280,f270,f260,f255,f245,f240,f225,f205,f200,f195,f190,f11599]) ).
fof(f11599,plain,
( spl4_421
<=> xq = sdtpldt0(xp,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_421])]) ).
fof(f245,plain,
( spl4_12
<=> doDivides0(xl,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_12])]) ).
fof(f260,plain,
( spl4_15
<=> xp = sdtsldt0(xm,xl) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_15])]) ).
fof(f270,plain,
( spl4_17
<=> doDivides0(xl,sdtpldt0(xm,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_17])]) ).
fof(f280,plain,
( spl4_19
<=> xq = sdtsldt0(sdtpldt0(xm,xn),xl) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_19])]) ).
fof(f455,plain,
( spl4_45
<=> xp = sdtpldt0(sz00,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_45])]) ).
fof(f460,plain,
( spl4_46
<=> xq = sdtpldt0(sz00,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_46])]) ).
fof(f8659,plain,
( spl4_332
<=> sdtlseqdt0(xp,sdtpldt0(xp,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_332])]) ).
fof(f11591,plain,
( xq != sdtpldt0(xp,xq)
| ~ spl4_1
| ~ spl4_2
| ~ spl4_3
| ~ spl4_4
| ~ spl4_8
| spl4_11
| ~ spl4_12
| ~ spl4_14
| ~ spl4_15
| ~ spl4_17
| ~ spl4_19
| ~ spl4_45
| ~ spl4_46
| spl4_49
| ~ spl4_64
| ~ spl4_69
| ~ spl4_332
| ~ spl4_404 ),
inference(forward_demodulation,[],[f11558,f10759]) ).
fof(f11558,plain,
( xq != sdtpldt0(xp,sK0)
| ~ spl4_1
| ~ spl4_2
| ~ spl4_3
| ~ spl4_4
| ~ spl4_8
| spl4_11
| ~ spl4_12
| ~ spl4_14
| ~ spl4_15
| ~ spl4_17
| ~ spl4_19
| ~ spl4_45
| ~ spl4_46
| spl4_49
| ~ spl4_64
| ~ spl4_69
| ~ spl4_332 ),
inference(resolution,[],[f11524,f8661]) ).
fof(f8661,plain,
( sdtlseqdt0(xp,sdtpldt0(xp,sK0))
| ~ spl4_332 ),
inference(avatar_component_clause,[],[f8659]) ).
fof(f11524,plain,
( ! [X0] :
( ~ sdtlseqdt0(xp,X0)
| xq != X0 )
| ~ spl4_1
| ~ spl4_2
| ~ spl4_3
| ~ spl4_4
| ~ spl4_8
| spl4_11
| ~ spl4_12
| ~ spl4_14
| ~ spl4_15
| ~ spl4_17
| ~ spl4_19
| ~ spl4_45
| ~ spl4_46
| spl4_49
| ~ spl4_64
| ~ spl4_69 ),
inference(global_subsumption,[],[f11523,f155,f162,f160,f166,f180,f187,f178,f188,f117,f120,f123,f124,f125,f126,f129,f192,f197,f202,f207,f132,f133,f227,f115,f116,f128,f242,f247,f134,f118,f119,f127,f131,f262,f272,f135,f114,f121,f122,f130,f282,f136,f291,f292,f294,f295,f137,f330,f331,f333,f138,f334,f364,f365,f139,f367,f368,f403,f140,f404,f406,f407,f479,f141,f437,f438,f440,f441,f146,f525,f526,f527,f528,f457,f462,f483,f484,f486,f487,f147,f580,f581,f582,f583,f611,f615,f616,f617,f150,f289,f328,f362,f151,f667,f401,f435,f481,f143,f618,f619,f614,f148,f718,f719,f720,f721,f730,f731,f732,f734,f736,f737,f149,f781,f782,f783,f722,f804,f805,f806,f810,f811,f168,f835,f836,f837,f838,f839,f840,f841,f842,f843,f844,f171,f882,f883,f884,f885,f886,f887,f888,f889,f890,f891,f152,f156,f157,f159,f167,f1298,f153,f169,f170,f172,f1612,f1611,f1610,f1614,f1631,f173,f1764,f1766,f158,f182,f184,f1975,f1974,f1973,f1977,f185,f2177,f2179,f2246,f2248,f2002,f2287,f186,f2447,f2449,f2516,f2518,f2286,f2588,f2589,f2590,f2591,f2592,f2288,f2599,f2600,f2601,f154,f2623,f1430,f164,f2709,f2713,f2717,f174,f2806,f2808,f2809,f2810,f2811,f2812,f2814,f2815,f2818,f2819,f175,f2893,f2895,f2896,f2897,f2898,f2899,f2901,f2902,f2905,f2906,f183,f2987,f2988,f144,f1900,f3272,f3273,f145,f3511,f161,f3958,f3960,f3963,f4026,f4028,f4108,f4110,f3700,f4137,f4138,f3703,f4144,f4146,f4143,f163,f4300,f4302,f4305,f4368,f4370,f4455,f4458,f176,f4523,f4525,f4526,f4527,f4528,f4529,f4531,f4532,f4535,f4536,f177,f4555,f4557,f4558,f4559,f4560,f4561,f4563,f4564,f4567,f4568,f165,f4690,f4694,f4722,f4725,f4727,f4729,f4777,f4909,f4970,f179,f5112,f5114,f5117,f5151,f5242,f181,f5463,f5465,f5468,f5529,f5590,f724,f5756,f5757,f5758,f5766,f5767,f725,f5924,f5925,f5926,f5934,f5936,f5763,f5930,f784,f6071,f6072,f6073,f6081,f6084,f785,f6249,f6250,f6251,f6259,f6262,f787,f6473,f6474,f6475,f6483,f6486,f788,f6776,f6777,f6778,f6786,f6789,f6075,f6252,f6255,f6256,f6477,f6480,f6780,f6782,f716,f7077,f7078,f7079,f7087,f7090,f779,f7282,f7284,f7292,f7295,f1567,f7729,f7730,f1613,f7836,f7838,f7839,f7840,f7848,f7851,f1772,f7989,f7990,f7991,f1902,f8329,f8330,f4698,f9070,f9073,f9075,f9077,f9080,f9083,f9085,f9087,f9090,f1433,f7841,f7842,f7844,f7845,f529,f9600,f9602,f9603,f9604,f9605,f9606,f9608,f9609,f9612,f9615,f530,f9708,f9710,f9711,f9712,f9713,f9714,f9716,f9717,f9720,f9723,f584,f9906,f9908,f9909,f9910,f9911,f9912,f9914,f9915,f9918,f9921,f585,f10009,f10011,f10012,f10013,f10014,f10015,f10017,f10018,f10021,f10024,f1377,f10229,f10230,f10231,f10232,f10233,f10234,f10235,f10236,f10237,f10238,f10239,f10240,f10241,f10242,f10243,f10244,f10245,f10247,f10248,f10250,f10251,f10254,f10256,f10257,f10259,f10260,f10263,f3726,f10437,f10439,f10440,f10441,f10442,f10443,f10444,f10446,f10447,f10450,f10453]) ).
fof(f10453,plain,
! [X26,X24,X25] :
( sK3(X25,X26) = sdtmndt0(sdtpldt0(X24,sK3(X25,X26)),X24)
| ~ aNaturalNumber0(X24)
| ~ sdtlseqdt0(X25,X26)
| ~ aNaturalNumber0(X26)
| ~ aNaturalNumber0(X25) ),
inference(resolution,[],[f3726,f171]) ).
fof(f10450,plain,
! [X21,X19,X20] :
( sK2(X20,X21) = sdtmndt0(sdtpldt0(X19,sK2(X20,X21)),X19)
| ~ aNaturalNumber0(X19)
| ~ doDivides0(X20,X21)
| ~ aNaturalNumber0(X21)
| ~ aNaturalNumber0(X20) ),
inference(resolution,[],[f3726,f168]) ).
fof(f10447,plain,
( ! [X16] :
( xq = sdtmndt0(sdtpldt0(X16,xq),X16)
| ~ aNaturalNumber0(X16) )
| ~ spl4_2 ),
inference(resolution,[],[f3726,f197]) ).
fof(f10446,plain,
( ! [X15] :
( xp = sdtmndt0(sdtpldt0(X15,xp),X15)
| ~ aNaturalNumber0(X15) )
| ~ spl4_1 ),
inference(resolution,[],[f3726,f192]) ).
fof(f10444,plain,
( ! [X13] :
( xm = sdtmndt0(sdtpldt0(X13,xm),X13)
| ~ aNaturalNumber0(X13) )
| ~ spl4_4 ),
inference(resolution,[],[f3726,f207]) ).
fof(f10443,plain,
( ! [X12] :
( xl = sdtmndt0(sdtpldt0(X12,xl),X12)
| ~ aNaturalNumber0(X12) )
| ~ spl4_3 ),
inference(resolution,[],[f3726,f202]) ).
fof(f10442,plain,
! [X10,X11,X9] :
( sdtmndt0(X10,X11) = sdtmndt0(sdtpldt0(X9,sdtmndt0(X10,X11)),X9)
| ~ aNaturalNumber0(X9)
| ~ sdtlseqdt0(X11,X10)
| ~ aNaturalNumber0(X10)
| ~ aNaturalNumber0(X11) ),
inference(resolution,[],[f3726,f1377]) ).
fof(f10441,plain,
! [X8,X6,X7] :
( sdtasdt0(X7,X8) = sdtmndt0(sdtpldt0(X6,sdtasdt0(X7,X8)),X6)
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X8)
| ~ aNaturalNumber0(X7) ),
inference(resolution,[],[f3726,f147]) ).
fof(f10440,plain,
( ! [X5] :
( sdtpldt0(xm,xn) = sdtmndt0(sdtpldt0(X5,sdtpldt0(xm,xn)),X5)
| ~ aNaturalNumber0(X5) )
| ~ spl4_64 ),
inference(resolution,[],[f3726,f611]) ).
fof(f10439,plain,
! [X2,X3,X4] :
( sdtpldt0(X3,X4) = sdtmndt0(sdtpldt0(X2,sdtpldt0(X3,X4)),X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3) ),
inference(resolution,[],[f3726,f146]) ).
fof(f10437,plain,
( ! [X0] :
( sz00 = sdtmndt0(sdtpldt0(X0,sz00),X0)
| ~ aNaturalNumber0(X0) )
| ~ spl4_8 ),
inference(resolution,[],[f3726,f227]) ).
fof(f10263,plain,
! [X82,X83] :
( ~ sdtlseqdt0(X82,X83)
| ~ aNaturalNumber0(X83)
| ~ aNaturalNumber0(X82)
| sdtmndt0(X83,X82) = sdtpldt0(sdtmndt0(X83,X82),sK3(sdtmndt0(X83,X82),sdtmndt0(X83,X82))) ),
inference(resolution,[],[f1377,f1613]) ).
fof(f10260,plain,
( ! [X76,X77] :
( ~ sdtlseqdt0(X76,X77)
| ~ aNaturalNumber0(X77)
| ~ aNaturalNumber0(X76)
| sdtasdt0(sdtmndt0(X77,X76),xq) = sdtasdt0(xq,sdtmndt0(X77,X76)) )
| ~ spl4_2 ),
inference(resolution,[],[f1377,f788]) ).
fof(f10259,plain,
( ! [X74,X75] :
( ~ sdtlseqdt0(X74,X75)
| ~ aNaturalNumber0(X75)
| ~ aNaturalNumber0(X74)
| sdtasdt0(sdtmndt0(X75,X74),xp) = sdtasdt0(xp,sdtmndt0(X75,X74)) )
| ~ spl4_1 ),
inference(resolution,[],[f1377,f787]) ).
fof(f10257,plain,
( ! [X70,X71] :
( ~ sdtlseqdt0(X70,X71)
| ~ aNaturalNumber0(X71)
| ~ aNaturalNumber0(X70)
| sdtasdt0(sdtmndt0(X71,X70),xm) = sdtasdt0(xm,sdtmndt0(X71,X70)) )
| ~ spl4_4 ),
inference(resolution,[],[f1377,f785]) ).
fof(f10256,plain,
( ! [X68,X69] :
( ~ sdtlseqdt0(X68,X69)
| ~ aNaturalNumber0(X69)
| ~ aNaturalNumber0(X68)
| sdtasdt0(sdtmndt0(X69,X68),xl) = sdtasdt0(xl,sdtmndt0(X69,X68)) )
| ~ spl4_3 ),
inference(resolution,[],[f1377,f784]) ).
fof(f10254,plain,
( ! [X65,X64] :
( ~ sdtlseqdt0(X64,X65)
| ~ aNaturalNumber0(X65)
| ~ aNaturalNumber0(X64)
| sdtasdt0(sdtmndt0(X65,X64),sz00) = sdtasdt0(sz00,sdtmndt0(X65,X64)) )
| ~ spl4_8 ),
inference(resolution,[],[f1377,f779]) ).
fof(f10251,plain,
( ! [X58,X59] :
( ~ sdtlseqdt0(X58,X59)
| ~ aNaturalNumber0(X59)
| ~ aNaturalNumber0(X58)
| sdtpldt0(sdtmndt0(X59,X58),xq) = sdtpldt0(xq,sdtmndt0(X59,X58)) )
| ~ spl4_2 ),
inference(resolution,[],[f1377,f725]) ).
fof(f10250,plain,
( ! [X56,X57] :
( ~ sdtlseqdt0(X56,X57)
| ~ aNaturalNumber0(X57)
| ~ aNaturalNumber0(X56)
| sdtpldt0(sdtmndt0(X57,X56),xp) = sdtpldt0(xp,sdtmndt0(X57,X56)) )
| ~ spl4_1 ),
inference(resolution,[],[f1377,f724]) ).
fof(f10248,plain,
( ! [X52,X53] :
( ~ sdtlseqdt0(X52,X53)
| ~ aNaturalNumber0(X53)
| ~ aNaturalNumber0(X52)
| sdtpldt0(sdtmndt0(X53,X52),xm) = sdtpldt0(xm,sdtmndt0(X53,X52)) )
| ~ spl4_4 ),
inference(resolution,[],[f1377,f722]) ).
fof(f10247,plain,
( ! [X50,X51] :
( ~ sdtlseqdt0(X50,X51)
| ~ aNaturalNumber0(X51)
| ~ aNaturalNumber0(X50)
| sdtpldt0(sdtmndt0(X51,X50),xl) = sdtpldt0(xl,sdtmndt0(X51,X50)) )
| ~ spl4_3 ),
inference(resolution,[],[f1377,f721]) ).
fof(f10245,plain,
( ! [X46,X47] :
( ~ sdtlseqdt0(X46,X47)
| ~ aNaturalNumber0(X47)
| ~ aNaturalNumber0(X46)
| sdtpldt0(sdtmndt0(X47,X46),sz00) = sdtpldt0(sz00,sdtmndt0(X47,X46)) )
| ~ spl4_8 ),
inference(resolution,[],[f1377,f716]) ).
fof(f10244,plain,
! [X44,X45,X43] :
( ~ sdtlseqdt0(X43,X44)
| ~ aNaturalNumber0(X44)
| ~ aNaturalNumber0(X43)
| ~ aNaturalNumber0(X45)
| sz00 = sdtasdt0(sdtasdt0(sdtmndt0(X44,X43),X45),sz00) ),
inference(resolution,[],[f1377,f585]) ).
fof(f10243,plain,
! [X40,X41,X42] :
( ~ sdtlseqdt0(X40,X41)
| ~ aNaturalNumber0(X41)
| ~ aNaturalNumber0(X40)
| ~ aNaturalNumber0(X42)
| sz00 = sdtasdt0(sz00,sdtasdt0(sdtmndt0(X41,X40),X42)) ),
inference(resolution,[],[f1377,f584]) ).
fof(f10242,plain,
! [X38,X39,X37] :
( ~ sdtlseqdt0(X37,X38)
| ~ aNaturalNumber0(X38)
| ~ aNaturalNumber0(X37)
| ~ aNaturalNumber0(X39)
| sz00 = sdtasdt0(sdtpldt0(sdtmndt0(X38,X37),X39),sz00) ),
inference(resolution,[],[f1377,f530]) ).
fof(f10241,plain,
! [X36,X34,X35] :
( ~ sdtlseqdt0(X34,X35)
| ~ aNaturalNumber0(X35)
| ~ aNaturalNumber0(X34)
| ~ aNaturalNumber0(X36)
| sz00 = sdtasdt0(sz00,sdtpldt0(sdtmndt0(X35,X34),X36)) ),
inference(resolution,[],[f1377,f529]) ).
fof(f10240,plain,
! [X31,X32,X30,X33] :
( ~ sdtlseqdt0(X30,X31)
| ~ aNaturalNumber0(X31)
| ~ aNaturalNumber0(X30)
| sdtasdt0(sdtpldt0(X32,sdtmndt0(X31,X30)),X33) = sdtpldt0(sdtasdt0(X32,X33),sdtasdt0(sdtmndt0(X31,X30),X33))
| ~ aNaturalNumber0(X32)
| ~ aNaturalNumber0(X33) ),
inference(resolution,[],[f1377,f177]) ).
fof(f10239,plain,
! [X28,X29,X26,X27] :
( ~ sdtlseqdt0(X26,X27)
| ~ aNaturalNumber0(X27)
| ~ aNaturalNumber0(X26)
| sdtasdt0(X28,sdtpldt0(X29,sdtmndt0(X27,X26))) = sdtpldt0(sdtasdt0(X28,X29),sdtasdt0(X28,sdtmndt0(X27,X26)))
| ~ aNaturalNumber0(X29)
| ~ aNaturalNumber0(X28) ),
inference(resolution,[],[f1377,f176]) ).
fof(f10238,plain,
! [X24,X22,X25,X23] :
( ~ sdtlseqdt0(X22,X23)
| ~ aNaturalNumber0(X23)
| ~ aNaturalNumber0(X22)
| sdtasdt0(sdtasdt0(X24,X25),sdtmndt0(X23,X22)) = sdtasdt0(X24,sdtasdt0(X25,sdtmndt0(X23,X22)))
| ~ aNaturalNumber0(X25)
| ~ aNaturalNumber0(X24) ),
inference(resolution,[],[f1377,f175]) ).
fof(f10237,plain,
! [X21,X18,X19,X20] :
( ~ sdtlseqdt0(X18,X19)
| ~ aNaturalNumber0(X19)
| ~ aNaturalNumber0(X18)
| sdtpldt0(sdtpldt0(X20,X21),sdtmndt0(X19,X18)) = sdtpldt0(X20,sdtpldt0(X21,sdtmndt0(X19,X18)))
| ~ aNaturalNumber0(X21)
| ~ aNaturalNumber0(X20) ),
inference(resolution,[],[f1377,f174]) ).
fof(f10236,plain,
! [X16,X17,X15] :
( ~ sdtlseqdt0(X15,X16)
| ~ aNaturalNumber0(X16)
| ~ aNaturalNumber0(X15)
| sdtasdt0(X17,sdtmndt0(X16,X15)) = sdtasdt0(sdtmndt0(X16,X15),X17)
| ~ aNaturalNumber0(X17) ),
inference(resolution,[],[f1377,f149]) ).
fof(f10235,plain,
! [X14,X12,X13] :
( ~ sdtlseqdt0(X12,X13)
| ~ aNaturalNumber0(X13)
| ~ aNaturalNumber0(X12)
| sdtpldt0(X14,sdtmndt0(X13,X12)) = sdtpldt0(sdtmndt0(X13,X12),X14)
| ~ aNaturalNumber0(X14) ),
inference(resolution,[],[f1377,f148]) ).
fof(f10234,plain,
! [X10,X11] :
( ~ sdtlseqdt0(X10,X11)
| ~ aNaturalNumber0(X11)
| ~ aNaturalNumber0(X10)
| sdtmndt0(X11,X10) = sdtasdt0(sz10,sdtmndt0(X11,X10)) ),
inference(resolution,[],[f1377,f141]) ).
fof(f10233,plain,
! [X8,X9] :
( ~ sdtlseqdt0(X8,X9)
| ~ aNaturalNumber0(X9)
| ~ aNaturalNumber0(X8)
| sdtmndt0(X9,X8) = sdtasdt0(sdtmndt0(X9,X8),sz10) ),
inference(resolution,[],[f1377,f140]) ).
fof(f10232,plain,
! [X6,X7] :
( ~ sdtlseqdt0(X6,X7)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X6)
| sdtmndt0(X7,X6) = sdtpldt0(sz00,sdtmndt0(X7,X6)) ),
inference(resolution,[],[f1377,f139]) ).
fof(f10231,plain,
! [X4,X5] :
( ~ sdtlseqdt0(X4,X5)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X4)
| sdtmndt0(X5,X4) = sdtpldt0(sdtmndt0(X5,X4),sz00) ),
inference(resolution,[],[f1377,f138]) ).
fof(f10230,plain,
! [X2,X3] :
( ~ sdtlseqdt0(X2,X3)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| sz00 = sdtasdt0(sz00,sdtmndt0(X3,X2)) ),
inference(resolution,[],[f1377,f137]) ).
fof(f10229,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtmndt0(X1,X0),sz00) ),
inference(resolution,[],[f1377,f136]) ).
fof(f10024,plain,
! [X21,X22,X23] :
( ~ aNaturalNumber0(X21)
| sz00 = sdtasdt0(sdtasdt0(sK3(X22,X23),X21),sz00)
| ~ sdtlseqdt0(X22,X23)
| ~ aNaturalNumber0(X23)
| ~ aNaturalNumber0(X22) ),
inference(resolution,[],[f585,f171]) ).
fof(f10021,plain,
! [X18,X16,X17] :
( ~ aNaturalNumber0(X16)
| sz00 = sdtasdt0(sdtasdt0(sK2(X17,X18),X16),sz00)
| ~ doDivides0(X17,X18)
| ~ aNaturalNumber0(X18)
| ~ aNaturalNumber0(X17) ),
inference(resolution,[],[f585,f168]) ).
fof(f10018,plain,
( ! [X13] :
( ~ aNaturalNumber0(X13)
| sz00 = sdtasdt0(sdtasdt0(xq,X13),sz00) )
| ~ spl4_2 ),
inference(resolution,[],[f585,f197]) ).
fof(f10017,plain,
( ! [X12] :
( ~ aNaturalNumber0(X12)
| sz00 = sdtasdt0(sdtasdt0(xp,X12),sz00) )
| ~ spl4_1 ),
inference(resolution,[],[f585,f192]) ).
fof(f10015,plain,
( ! [X10] :
( ~ aNaturalNumber0(X10)
| sz00 = sdtasdt0(sdtasdt0(xm,X10),sz00) )
| ~ spl4_4 ),
inference(resolution,[],[f585,f207]) ).
fof(f10014,plain,
( ! [X9] :
( ~ aNaturalNumber0(X9)
| sz00 = sdtasdt0(sdtasdt0(xl,X9),sz00) )
| ~ spl4_3 ),
inference(resolution,[],[f585,f202]) ).
fof(f10013,plain,
! [X8,X6,X7] :
( ~ aNaturalNumber0(X6)
| sz00 = sdtasdt0(sdtasdt0(sdtasdt0(X7,X8),X6),sz00)
| ~ aNaturalNumber0(X8)
| ~ aNaturalNumber0(X7) ),
inference(resolution,[],[f585,f147]) ).
fof(f10012,plain,
( ! [X5] :
( ~ aNaturalNumber0(X5)
| sz00 = sdtasdt0(sdtasdt0(sdtpldt0(xm,xn),X5),sz00) )
| ~ spl4_64 ),
inference(resolution,[],[f585,f611]) ).
fof(f10011,plain,
! [X2,X3,X4] :
( ~ aNaturalNumber0(X2)
| sz00 = sdtasdt0(sdtasdt0(sdtpldt0(X3,X4),X2),sz00)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3) ),
inference(resolution,[],[f585,f146]) ).
fof(f10009,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtasdt0(sz00,X0),sz00) )
| ~ spl4_8 ),
inference(resolution,[],[f585,f227]) ).
fof(f9921,plain,
! [X21,X22,X23] :
( ~ aNaturalNumber0(X21)
| sz00 = sdtasdt0(sz00,sdtasdt0(sK3(X22,X23),X21))
| ~ sdtlseqdt0(X22,X23)
| ~ aNaturalNumber0(X23)
| ~ aNaturalNumber0(X22) ),
inference(resolution,[],[f584,f171]) ).
fof(f9918,plain,
! [X18,X16,X17] :
( ~ aNaturalNumber0(X16)
| sz00 = sdtasdt0(sz00,sdtasdt0(sK2(X17,X18),X16))
| ~ doDivides0(X17,X18)
| ~ aNaturalNumber0(X18)
| ~ aNaturalNumber0(X17) ),
inference(resolution,[],[f584,f168]) ).
fof(f9915,plain,
( ! [X13] :
( ~ aNaturalNumber0(X13)
| sz00 = sdtasdt0(sz00,sdtasdt0(xq,X13)) )
| ~ spl4_2 ),
inference(resolution,[],[f584,f197]) ).
fof(f9914,plain,
( ! [X12] :
( ~ aNaturalNumber0(X12)
| sz00 = sdtasdt0(sz00,sdtasdt0(xp,X12)) )
| ~ spl4_1 ),
inference(resolution,[],[f584,f192]) ).
fof(f9912,plain,
( ! [X10] :
( ~ aNaturalNumber0(X10)
| sz00 = sdtasdt0(sz00,sdtasdt0(xm,X10)) )
| ~ spl4_4 ),
inference(resolution,[],[f584,f207]) ).
fof(f9911,plain,
( ! [X9] :
( ~ aNaturalNumber0(X9)
| sz00 = sdtasdt0(sz00,sdtasdt0(xl,X9)) )
| ~ spl4_3 ),
inference(resolution,[],[f584,f202]) ).
fof(f9910,plain,
! [X8,X6,X7] :
( ~ aNaturalNumber0(X6)
| sz00 = sdtasdt0(sz00,sdtasdt0(sdtasdt0(X7,X8),X6))
| ~ aNaturalNumber0(X8)
| ~ aNaturalNumber0(X7) ),
inference(resolution,[],[f584,f147]) ).
fof(f9909,plain,
( ! [X5] :
( ~ aNaturalNumber0(X5)
| sz00 = sdtasdt0(sz00,sdtasdt0(sdtpldt0(xm,xn),X5)) )
| ~ spl4_64 ),
inference(resolution,[],[f584,f611]) ).
fof(f9908,plain,
! [X2,X3,X4] :
( ~ aNaturalNumber0(X2)
| sz00 = sdtasdt0(sz00,sdtasdt0(sdtpldt0(X3,X4),X2))
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3) ),
inference(resolution,[],[f584,f146]) ).
fof(f9906,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtasdt0(sz00,X0)) )
| ~ spl4_8 ),
inference(resolution,[],[f584,f227]) ).
fof(f9723,plain,
! [X21,X22,X23] :
( ~ aNaturalNumber0(X21)
| sz00 = sdtasdt0(sdtpldt0(sK3(X22,X23),X21),sz00)
| ~ sdtlseqdt0(X22,X23)
| ~ aNaturalNumber0(X23)
| ~ aNaturalNumber0(X22) ),
inference(resolution,[],[f530,f171]) ).
fof(f9720,plain,
! [X18,X16,X17] :
( ~ aNaturalNumber0(X16)
| sz00 = sdtasdt0(sdtpldt0(sK2(X17,X18),X16),sz00)
| ~ doDivides0(X17,X18)
| ~ aNaturalNumber0(X18)
| ~ aNaturalNumber0(X17) ),
inference(resolution,[],[f530,f168]) ).
fof(f9717,plain,
( ! [X13] :
( ~ aNaturalNumber0(X13)
| sz00 = sdtasdt0(sdtpldt0(xq,X13),sz00) )
| ~ spl4_2 ),
inference(resolution,[],[f530,f197]) ).
fof(f9716,plain,
( ! [X12] :
( ~ aNaturalNumber0(X12)
| sz00 = sdtasdt0(sdtpldt0(xp,X12),sz00) )
| ~ spl4_1 ),
inference(resolution,[],[f530,f192]) ).
fof(f9714,plain,
( ! [X10] :
( ~ aNaturalNumber0(X10)
| sz00 = sdtasdt0(sdtpldt0(xm,X10),sz00) )
| ~ spl4_4 ),
inference(resolution,[],[f530,f207]) ).
fof(f9713,plain,
( ! [X9] :
( ~ aNaturalNumber0(X9)
| sz00 = sdtasdt0(sdtpldt0(xl,X9),sz00) )
| ~ spl4_3 ),
inference(resolution,[],[f530,f202]) ).
fof(f9712,plain,
! [X8,X6,X7] :
( ~ aNaturalNumber0(X6)
| sz00 = sdtasdt0(sdtpldt0(sdtasdt0(X7,X8),X6),sz00)
| ~ aNaturalNumber0(X8)
| ~ aNaturalNumber0(X7) ),
inference(resolution,[],[f530,f147]) ).
fof(f9711,plain,
( ! [X5] :
( ~ aNaturalNumber0(X5)
| sz00 = sdtasdt0(sdtpldt0(sdtpldt0(xm,xn),X5),sz00) )
| ~ spl4_64 ),
inference(resolution,[],[f530,f611]) ).
fof(f9710,plain,
! [X2,X3,X4] :
( ~ aNaturalNumber0(X2)
| sz00 = sdtasdt0(sdtpldt0(sdtpldt0(X3,X4),X2),sz00)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3) ),
inference(resolution,[],[f530,f146]) ).
fof(f9708,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtpldt0(sz00,X0),sz00) )
| ~ spl4_8 ),
inference(resolution,[],[f530,f227]) ).
fof(f9615,plain,
! [X21,X22,X23] :
( ~ aNaturalNumber0(X21)
| sz00 = sdtasdt0(sz00,sdtpldt0(sK3(X22,X23),X21))
| ~ sdtlseqdt0(X22,X23)
| ~ aNaturalNumber0(X23)
| ~ aNaturalNumber0(X22) ),
inference(resolution,[],[f529,f171]) ).
fof(f9612,plain,
! [X18,X16,X17] :
( ~ aNaturalNumber0(X16)
| sz00 = sdtasdt0(sz00,sdtpldt0(sK2(X17,X18),X16))
| ~ doDivides0(X17,X18)
| ~ aNaturalNumber0(X18)
| ~ aNaturalNumber0(X17) ),
inference(resolution,[],[f529,f168]) ).
fof(f9609,plain,
( ! [X13] :
( ~ aNaturalNumber0(X13)
| sz00 = sdtasdt0(sz00,sdtpldt0(xq,X13)) )
| ~ spl4_2 ),
inference(resolution,[],[f529,f197]) ).
fof(f9608,plain,
( ! [X12] :
( ~ aNaturalNumber0(X12)
| sz00 = sdtasdt0(sz00,sdtpldt0(xp,X12)) )
| ~ spl4_1 ),
inference(resolution,[],[f529,f192]) ).
fof(f9606,plain,
( ! [X10] :
( ~ aNaturalNumber0(X10)
| sz00 = sdtasdt0(sz00,sdtpldt0(xm,X10)) )
| ~ spl4_4 ),
inference(resolution,[],[f529,f207]) ).
fof(f9605,plain,
( ! [X9] :
( ~ aNaturalNumber0(X9)
| sz00 = sdtasdt0(sz00,sdtpldt0(xl,X9)) )
| ~ spl4_3 ),
inference(resolution,[],[f529,f202]) ).
fof(f9604,plain,
! [X8,X6,X7] :
( ~ aNaturalNumber0(X6)
| sz00 = sdtasdt0(sz00,sdtpldt0(sdtasdt0(X7,X8),X6))
| ~ aNaturalNumber0(X8)
| ~ aNaturalNumber0(X7) ),
inference(resolution,[],[f529,f147]) ).
fof(f9603,plain,
( ! [X5] :
( ~ aNaturalNumber0(X5)
| sz00 = sdtasdt0(sz00,sdtpldt0(sdtpldt0(xm,xn),X5)) )
| ~ spl4_64 ),
inference(resolution,[],[f529,f611]) ).
fof(f9602,plain,
! [X2,X3,X4] :
( ~ aNaturalNumber0(X2)
| sz00 = sdtasdt0(sz00,sdtpldt0(sdtpldt0(X3,X4),X2))
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3) ),
inference(resolution,[],[f529,f146]) ).
fof(f9600,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(sz00,X0)) )
| ~ spl4_8 ),
inference(resolution,[],[f529,f227]) ).
fof(f7845,plain,
( xq = sdtpldt0(xq,sK3(xq,xq))
| ~ spl4_2 ),
inference(resolution,[],[f1613,f197]) ).
fof(f7844,plain,
( xp = sdtpldt0(xp,sK3(xp,xp))
| ~ spl4_1 ),
inference(resolution,[],[f1613,f192]) ).
fof(f7842,plain,
( xm = sdtpldt0(xm,sK3(xm,xm))
| ~ spl4_4 ),
inference(resolution,[],[f1613,f207]) ).
fof(f7841,plain,
( xl = sdtpldt0(xl,sK3(xl,xl))
| ~ spl4_3 ),
inference(resolution,[],[f1613,f202]) ).
fof(f1433,plain,
( sdtpldt0(xm,xn) = sdtasdt0(xl,sK2(xl,sdtpldt0(xm,xn)))
| ~ spl4_3
| ~ spl4_17
| ~ spl4_64 ),
inference(subsumption_resolution,[],[f1432,f202]) ).
fof(f1432,plain,
( sdtpldt0(xm,xn) = sdtasdt0(xl,sK2(xl,sdtpldt0(xm,xn)))
| ~ aNaturalNumber0(xl)
| ~ spl4_17
| ~ spl4_64 ),
inference(subsumption_resolution,[],[f1428,f611]) ).
fof(f1428,plain,
( sdtpldt0(xm,xn) = sdtasdt0(xl,sK2(xl,sdtpldt0(xm,xn)))
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xl)
| ~ spl4_17 ),
inference(resolution,[],[f169,f272]) ).
fof(f9090,plain,
( ! [X24,X25] :
( sdtpldt0(xm,xn) != X25
| sdtsldt0(X25,xl) = X24
| ~ aNaturalNumber0(X25)
| xq != X24 )
| ~ spl4_3
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64 ),
inference(subsumption_resolution,[],[f9089,f2717]) ).
fof(f9089,plain,
( ! [X24,X25] :
( sdtpldt0(xm,xn) != X25
| sdtsldt0(X25,xl) = X24
| ~ aNaturalNumber0(X24)
| ~ aNaturalNumber0(X25)
| xq != X24 )
| ~ spl4_3
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64 ),
inference(subsumption_resolution,[],[f9088,f202]) ).
fof(f9088,plain,
( ! [X24,X25] :
( sdtpldt0(xm,xn) != X25
| sdtsldt0(X25,xl) = X24
| ~ aNaturalNumber0(X24)
| ~ aNaturalNumber0(X25)
| ~ aNaturalNumber0(xl)
| xq != X24 )
| ~ spl4_3
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64 ),
inference(subsumption_resolution,[],[f9055,f242]) ).
fof(f9055,plain,
( ! [X24,X25] :
( sdtpldt0(xm,xn) != X25
| sdtsldt0(X25,xl) = X24
| ~ aNaturalNumber0(X24)
| sz00 = xl
| ~ aNaturalNumber0(X25)
| ~ aNaturalNumber0(xl)
| xq != X24 )
| ~ spl4_3
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64 ),
inference(superposition,[],[f4777,f4698]) ).
fof(f9087,plain,
( ! [X21,X22] :
( sdtlseqdt0(sdtasdt0(X22,X21),sdtpldt0(xm,xn))
| ~ sdtlseqdt0(X22,xl)
| xl = X22
| sz00 = X21
| ~ aNaturalNumber0(X22)
| xq != X21 )
| ~ spl4_3
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64 ),
inference(subsumption_resolution,[],[f9086,f2717]) ).
fof(f9086,plain,
( ! [X21,X22] :
( sdtlseqdt0(sdtasdt0(X22,X21),sdtpldt0(xm,xn))
| ~ sdtlseqdt0(X22,xl)
| xl = X22
| sz00 = X21
| ~ aNaturalNumber0(X22)
| ~ aNaturalNumber0(X21)
| xq != X21 )
| ~ spl4_3
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64 ),
inference(subsumption_resolution,[],[f9053,f202]) ).
fof(f9053,plain,
( ! [X21,X22] :
( sdtlseqdt0(sdtasdt0(X22,X21),sdtpldt0(xm,xn))
| ~ sdtlseqdt0(X22,xl)
| xl = X22
| sz00 = X21
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X22)
| ~ aNaturalNumber0(X21)
| xq != X21 )
| ~ spl4_3
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64 ),
inference(superposition,[],[f181,f4698]) ).
fof(f9085,plain,
( ! [X19,X20] :
( sdtlseqdt0(sdtpldt0(xm,xn),sdtasdt0(X20,X19))
| ~ sdtlseqdt0(xl,X20)
| xl = X20
| sz00 = X19
| ~ aNaturalNumber0(X20)
| xq != X19 )
| ~ spl4_3
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64 ),
inference(subsumption_resolution,[],[f9084,f2717]) ).
fof(f9084,plain,
( ! [X19,X20] :
( sdtlseqdt0(sdtpldt0(xm,xn),sdtasdt0(X20,X19))
| ~ sdtlseqdt0(xl,X20)
| xl = X20
| sz00 = X19
| ~ aNaturalNumber0(X20)
| ~ aNaturalNumber0(X19)
| xq != X19 )
| ~ spl4_3
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64 ),
inference(subsumption_resolution,[],[f9052,f202]) ).
fof(f9052,plain,
( ! [X19,X20] :
( sdtlseqdt0(sdtpldt0(xm,xn),sdtasdt0(X20,X19))
| ~ sdtlseqdt0(xl,X20)
| xl = X20
| sz00 = X19
| ~ aNaturalNumber0(X20)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X19)
| xq != X19 )
| ~ spl4_3
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64 ),
inference(superposition,[],[f181,f4698]) ).
fof(f9083,plain,
( ! [X18,X17] :
( sdtlseqdt0(sdtasdt0(xl,X18),sdtpldt0(xm,xn))
| ~ sdtlseqdt0(X18,X17)
| X17 = X18
| ~ aNaturalNumber0(X18)
| xq != X17 )
| ~ spl4_3
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64 ),
inference(subsumption_resolution,[],[f9082,f2717]) ).
fof(f9082,plain,
( ! [X18,X17] :
( sdtlseqdt0(sdtasdt0(xl,X18),sdtpldt0(xm,xn))
| ~ sdtlseqdt0(X18,X17)
| X17 = X18
| ~ aNaturalNumber0(X17)
| ~ aNaturalNumber0(X18)
| xq != X17 )
| ~ spl4_3
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64 ),
inference(subsumption_resolution,[],[f9081,f202]) ).
fof(f9081,plain,
( ! [X18,X17] :
( sdtlseqdt0(sdtasdt0(xl,X18),sdtpldt0(xm,xn))
| ~ sdtlseqdt0(X18,X17)
| X17 = X18
| ~ aNaturalNumber0(X17)
| ~ aNaturalNumber0(X18)
| ~ aNaturalNumber0(xl)
| xq != X17 )
| ~ spl4_3
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64 ),
inference(subsumption_resolution,[],[f9051,f242]) ).
fof(f9051,plain,
( ! [X18,X17] :
( sdtlseqdt0(sdtasdt0(xl,X18),sdtpldt0(xm,xn))
| ~ sdtlseqdt0(X18,X17)
| X17 = X18
| sz00 = xl
| ~ aNaturalNumber0(X17)
| ~ aNaturalNumber0(X18)
| ~ aNaturalNumber0(xl)
| xq != X17 )
| ~ spl4_3
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64 ),
inference(superposition,[],[f179,f4698]) ).
fof(f9080,plain,
( ! [X16,X15] :
( sdtlseqdt0(sdtpldt0(xm,xn),sdtasdt0(xl,X16))
| ~ sdtlseqdt0(X15,X16)
| X15 = X16
| ~ aNaturalNumber0(X16)
| xq != X15 )
| ~ spl4_3
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64 ),
inference(subsumption_resolution,[],[f9079,f2717]) ).
fof(f9079,plain,
( ! [X16,X15] :
( sdtlseqdt0(sdtpldt0(xm,xn),sdtasdt0(xl,X16))
| ~ sdtlseqdt0(X15,X16)
| X15 = X16
| ~ aNaturalNumber0(X16)
| ~ aNaturalNumber0(X15)
| xq != X15 )
| ~ spl4_3
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64 ),
inference(subsumption_resolution,[],[f9078,f202]) ).
fof(f9078,plain,
( ! [X16,X15] :
( sdtlseqdt0(sdtpldt0(xm,xn),sdtasdt0(xl,X16))
| ~ sdtlseqdt0(X15,X16)
| X15 = X16
| ~ aNaturalNumber0(X16)
| ~ aNaturalNumber0(X15)
| ~ aNaturalNumber0(xl)
| xq != X15 )
| ~ spl4_3
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64 ),
inference(subsumption_resolution,[],[f9050,f242]) ).
fof(f9050,plain,
( ! [X16,X15] :
( sdtlseqdt0(sdtpldt0(xm,xn),sdtasdt0(xl,X16))
| ~ sdtlseqdt0(X15,X16)
| X15 = X16
| sz00 = xl
| ~ aNaturalNumber0(X16)
| ~ aNaturalNumber0(X15)
| ~ aNaturalNumber0(xl)
| xq != X15 )
| ~ spl4_3
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64 ),
inference(superposition,[],[f179,f4698]) ).
fof(f9077,plain,
( ! [X8,X9] :
( sdtpldt0(xm,xn) != sdtasdt0(X9,X8)
| xl = X9
| ~ aNaturalNumber0(X9)
| sz00 = X8
| xq != X8 )
| ~ spl4_3
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64 ),
inference(subsumption_resolution,[],[f9076,f2717]) ).
fof(f9076,plain,
( ! [X8,X9] :
( sdtpldt0(xm,xn) != sdtasdt0(X9,X8)
| xl = X9
| ~ aNaturalNumber0(X9)
| sz00 = X8
| ~ aNaturalNumber0(X8)
| xq != X8 )
| ~ spl4_3
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64 ),
inference(subsumption_resolution,[],[f9045,f202]) ).
fof(f9045,plain,
( ! [X8,X9] :
( sdtpldt0(xm,xn) != sdtasdt0(X9,X8)
| xl = X9
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X9)
| sz00 = X8
| ~ aNaturalNumber0(X8)
| xq != X8 )
| ~ spl4_3
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64 ),
inference(superposition,[],[f145,f4698]) ).
fof(f9075,plain,
( ! [X6,X7] :
( sdtpldt0(xm,xn) != sdtasdt0(X7,X6)
| xl = X7
| ~ aNaturalNumber0(X7)
| sz00 = X6
| xq != X6 )
| ~ spl4_3
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64 ),
inference(subsumption_resolution,[],[f9074,f2717]) ).
fof(f9074,plain,
( ! [X6,X7] :
( sdtpldt0(xm,xn) != sdtasdt0(X7,X6)
| xl = X7
| ~ aNaturalNumber0(X7)
| sz00 = X6
| ~ aNaturalNumber0(X6)
| xq != X6 )
| ~ spl4_3
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64 ),
inference(subsumption_resolution,[],[f9044,f202]) ).
fof(f9044,plain,
( ! [X6,X7] :
( sdtpldt0(xm,xn) != sdtasdt0(X7,X6)
| xl = X7
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(xl)
| sz00 = X6
| ~ aNaturalNumber0(X6)
| xq != X6 )
| ~ spl4_3
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64 ),
inference(superposition,[],[f145,f4698]) ).
fof(f9073,plain,
( ! [X4,X5] :
( sdtpldt0(xm,xn) != sdtasdt0(xl,X5)
| X4 = X5
| ~ aNaturalNumber0(X5)
| xq != X4 )
| ~ spl4_3
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64 ),
inference(subsumption_resolution,[],[f9072,f2717]) ).
fof(f9072,plain,
( ! [X4,X5] :
( sdtpldt0(xm,xn) != sdtasdt0(xl,X5)
| X4 = X5
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| xq != X4 )
| ~ spl4_3
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64 ),
inference(subsumption_resolution,[],[f9071,f202]) ).
fof(f9071,plain,
( ! [X4,X5] :
( sdtpldt0(xm,xn) != sdtasdt0(xl,X5)
| X4 = X5
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(xl)
| xq != X4 )
| ~ spl4_3
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64 ),
inference(subsumption_resolution,[],[f9043,f242]) ).
fof(f9043,plain,
( ! [X4,X5] :
( sdtpldt0(xm,xn) != sdtasdt0(xl,X5)
| X4 = X5
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| sz00 = xl
| ~ aNaturalNumber0(xl)
| xq != X4 )
| ~ spl4_3
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64 ),
inference(superposition,[],[f144,f4698]) ).
fof(f9070,plain,
( ! [X2,X3] :
( sdtpldt0(xm,xn) != sdtasdt0(xl,X3)
| X2 = X3
| ~ aNaturalNumber0(X3)
| xq != X2 )
| ~ spl4_3
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64 ),
inference(subsumption_resolution,[],[f9069,f2717]) ).
fof(f9069,plain,
( ! [X2,X3] :
( sdtpldt0(xm,xn) != sdtasdt0(xl,X3)
| X2 = X3
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| xq != X2 )
| ~ spl4_3
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64 ),
inference(subsumption_resolution,[],[f9068,f202]) ).
fof(f9068,plain,
( ! [X2,X3] :
( sdtpldt0(xm,xn) != sdtasdt0(xl,X3)
| X2 = X3
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(xl)
| xq != X2 )
| ~ spl4_3
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64 ),
inference(subsumption_resolution,[],[f9042,f242]) ).
fof(f9042,plain,
( ! [X2,X3] :
( sdtpldt0(xm,xn) != sdtasdt0(xl,X3)
| X2 = X3
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| sz00 = xl
| ~ aNaturalNumber0(xl)
| xq != X2 )
| ~ spl4_3
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64 ),
inference(superposition,[],[f144,f4698]) ).
fof(f4698,plain,
( ! [X1] :
( sdtpldt0(xm,xn) = sdtasdt0(xl,X1)
| xq != X1 )
| ~ spl4_3
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64 ),
inference(subsumption_resolution,[],[f4697,f202]) ).
fof(f4697,plain,
( ! [X1] :
( xq != X1
| sdtpldt0(xm,xn) = sdtasdt0(xl,X1)
| ~ aNaturalNumber0(xl) )
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64 ),
inference(subsumption_resolution,[],[f4696,f611]) ).
fof(f4696,plain,
( ! [X1] :
( xq != X1
| sdtpldt0(xm,xn) = sdtasdt0(xl,X1)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xl) )
| spl4_11
| ~ spl4_17
| ~ spl4_19 ),
inference(subsumption_resolution,[],[f4695,f242]) ).
fof(f4695,plain,
( ! [X1] :
( xq != X1
| sdtpldt0(xm,xn) = sdtasdt0(xl,X1)
| sz00 = xl
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xl) )
| ~ spl4_17
| ~ spl4_19 ),
inference(subsumption_resolution,[],[f4689,f272]) ).
fof(f4689,plain,
( ! [X1] :
( xq != X1
| sdtpldt0(xm,xn) = sdtasdt0(xl,X1)
| ~ doDivides0(xl,sdtpldt0(xm,xn))
| sz00 = xl
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xl) )
| ~ spl4_19 ),
inference(superposition,[],[f165,f282]) ).
fof(f8330,plain,
( ! [X2] :
( ~ doDivides0(X2,xl)
| ~ aNaturalNumber0(X2)
| sdtpldt0(xm,xn) = sdtasdt0(X2,sK2(X2,sdtpldt0(xm,xn))) )
| ~ spl4_3
| ~ spl4_17
| ~ spl4_64 ),
inference(subsumption_resolution,[],[f8327,f611]) ).
fof(f8327,plain,
( ! [X2] :
( ~ doDivides0(X2,xl)
| ~ aNaturalNumber0(X2)
| sdtpldt0(xm,xn) = sdtasdt0(X2,sK2(X2,sdtpldt0(xm,xn)))
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) )
| ~ spl4_3
| ~ spl4_17
| ~ spl4_64 ),
inference(duplicate_literal_removal,[],[f8326]) ).
fof(f8326,plain,
( ! [X2] :
( ~ doDivides0(X2,xl)
| ~ aNaturalNumber0(X2)
| sdtpldt0(xm,xn) = sdtasdt0(X2,sK2(X2,sdtpldt0(xm,xn)))
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(X2) )
| ~ spl4_3
| ~ spl4_17
| ~ spl4_64 ),
inference(resolution,[],[f1902,f169]) ).
fof(f8329,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,xl)
| ~ aNaturalNumber0(X0)
| doDivides0(X1,sdtpldt0(xm,xn))
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1) )
| ~ spl4_3
| ~ spl4_17
| ~ spl4_64 ),
inference(subsumption_resolution,[],[f8328,f611]) ).
fof(f8328,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,xl)
| ~ aNaturalNumber0(X0)
| doDivides0(X1,sdtpldt0(xm,xn))
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(X1) )
| ~ spl4_3
| ~ spl4_17
| ~ spl4_64 ),
inference(duplicate_literal_removal,[],[f8325]) ).
fof(f8325,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,xl)
| ~ aNaturalNumber0(X0)
| doDivides0(X1,sdtpldt0(xm,xn))
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl4_3
| ~ spl4_17
| ~ spl4_64 ),
inference(resolution,[],[f1902,f182]) ).
fof(f1902,plain,
( ! [X1] :
( doDivides0(X1,sdtpldt0(xm,xn))
| ~ doDivides0(X1,xl)
| ~ aNaturalNumber0(X1) )
| ~ spl4_3
| ~ spl4_17
| ~ spl4_64 ),
inference(subsumption_resolution,[],[f1901,f202]) ).
fof(f1901,plain,
( ! [X1] :
( doDivides0(X1,sdtpldt0(xm,xn))
| ~ doDivides0(X1,xl)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1) )
| ~ spl4_17
| ~ spl4_64 ),
inference(subsumption_resolution,[],[f1897,f611]) ).
fof(f1897,plain,
( ! [X1] :
( doDivides0(X1,sdtpldt0(xm,xn))
| ~ doDivides0(X1,xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1) )
| ~ spl4_17 ),
inference(resolution,[],[f182,f272]) ).
fof(f7991,plain,
! [X8,X7] :
( ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8)
| sdtpldt0(X8,X7) = X8
| ~ sdtlseqdt0(sdtpldt0(X8,X7),X8) ),
inference(subsumption_resolution,[],[f7980,f146]) ).
fof(f7980,plain,
! [X8,X7] :
( ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8)
| sdtpldt0(X8,X7) = X8
| ~ sdtlseqdt0(sdtpldt0(X8,X7),X8)
| ~ aNaturalNumber0(sdtpldt0(X8,X7)) ),
inference(duplicate_literal_removal,[],[f7913]) ).
fof(f7913,plain,
! [X8,X7] :
( ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8)
| sdtpldt0(X8,X7) = X8
| ~ sdtlseqdt0(sdtpldt0(X8,X7),X8)
| ~ aNaturalNumber0(X8)
| ~ aNaturalNumber0(sdtpldt0(X8,X7)) ),
inference(resolution,[],[f1772,f167]) ).
fof(f7990,plain,
! [X6,X5] :
( ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6)
| sdtpldt0(X6,X5) = sdtpldt0(X6,sK3(X6,sdtpldt0(X6,X5))) ),
inference(subsumption_resolution,[],[f7981,f146]) ).
fof(f7981,plain,
! [X6,X5] :
( ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6)
| sdtpldt0(X6,X5) = sdtpldt0(X6,sK3(X6,sdtpldt0(X6,X5)))
| ~ aNaturalNumber0(sdtpldt0(X6,X5)) ),
inference(duplicate_literal_removal,[],[f7912]) ).
fof(f7912,plain,
! [X6,X5] :
( ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6)
| sdtpldt0(X6,X5) = sdtpldt0(X6,sK3(X6,sdtpldt0(X6,X5)))
| ~ aNaturalNumber0(sdtpldt0(X6,X5))
| ~ aNaturalNumber0(X6) ),
inference(resolution,[],[f1772,f172]) ).
fof(f7989,plain,
! [X2,X3,X4] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtlseqdt0(X4,sdtpldt0(X3,X2))
| ~ sdtlseqdt0(X4,X3)
| ~ aNaturalNumber0(X4) ),
inference(subsumption_resolution,[],[f7982,f146]) ).
fof(f7982,plain,
! [X2,X3,X4] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtlseqdt0(X4,sdtpldt0(X3,X2))
| ~ sdtlseqdt0(X4,X3)
| ~ aNaturalNumber0(sdtpldt0(X3,X2))
| ~ aNaturalNumber0(X4) ),
inference(duplicate_literal_removal,[],[f7911]) ).
fof(f7911,plain,
! [X2,X3,X4] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtlseqdt0(X4,sdtpldt0(X3,X2))
| ~ sdtlseqdt0(X4,X3)
| ~ aNaturalNumber0(sdtpldt0(X3,X2))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4) ),
inference(resolution,[],[f1772,f184]) ).
fof(f7851,plain,
! [X6,X7] :
( sK3(X6,X7) = sdtpldt0(sK3(X6,X7),sK3(sK3(X6,X7),sK3(X6,X7)))
| ~ sdtlseqdt0(X6,X7)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X6) ),
inference(resolution,[],[f1613,f171]) ).
fof(f7848,plain,
! [X4,X5] :
( sK2(X4,X5) = sdtpldt0(sK2(X4,X5),sK3(sK2(X4,X5),sK2(X4,X5)))
| ~ doDivides0(X4,X5)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X4) ),
inference(resolution,[],[f1613,f168]) ).
fof(f7840,plain,
! [X2,X3] :
( sdtasdt0(X2,X3) = sdtpldt0(sdtasdt0(X2,X3),sK3(sdtasdt0(X2,X3),sdtasdt0(X2,X3)))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(resolution,[],[f1613,f147]) ).
fof(f7839,plain,
( sdtpldt0(xm,xn) = sdtpldt0(sdtpldt0(xm,xn),sK3(sdtpldt0(xm,xn),sdtpldt0(xm,xn)))
| ~ spl4_64 ),
inference(resolution,[],[f1613,f611]) ).
fof(f7838,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(sdtpldt0(X0,X1),sK3(sdtpldt0(X0,X1),sdtpldt0(X0,X1)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f1613,f146]) ).
fof(f7836,plain,
( sz00 = sdtpldt0(sz00,sK3(sz00,sz00))
| ~ spl4_8 ),
inference(resolution,[],[f1613,f227]) ).
fof(f7730,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| sdtasdt0(X4,X3) = sdtasdt0(X4,sK2(X4,sdtasdt0(X4,X3))) ),
inference(subsumption_resolution,[],[f7727,f147]) ).
fof(f7727,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| sdtasdt0(X4,X3) = sdtasdt0(X4,sK2(X4,sdtasdt0(X4,X3)))
| ~ aNaturalNumber0(sdtasdt0(X4,X3)) ),
inference(duplicate_literal_removal,[],[f7674]) ).
fof(f7674,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| sdtasdt0(X4,X3) = sdtasdt0(X4,sK2(X4,sdtasdt0(X4,X3)))
| ~ aNaturalNumber0(sdtasdt0(X4,X3))
| ~ aNaturalNumber0(X4) ),
inference(resolution,[],[f1567,f169]) ).
fof(f7729,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| doDivides0(X2,sdtasdt0(X1,X0))
| ~ doDivides0(X2,X1)
| ~ aNaturalNumber0(X2) ),
inference(subsumption_resolution,[],[f7728,f147]) ).
fof(f7728,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| doDivides0(X2,sdtasdt0(X1,X0))
| ~ doDivides0(X2,X1)
| ~ aNaturalNumber0(sdtasdt0(X1,X0))
| ~ aNaturalNumber0(X2) ),
inference(duplicate_literal_removal,[],[f7673]) ).
fof(f7673,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| doDivides0(X2,sdtasdt0(X1,X0))
| ~ doDivides0(X2,X1)
| ~ aNaturalNumber0(sdtasdt0(X1,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(resolution,[],[f1567,f182]) ).
fof(f7295,plain,
( ! [X6,X7] :
( sdtasdt0(sK3(X6,X7),sz00) = sdtasdt0(sz00,sK3(X6,X7))
| ~ sdtlseqdt0(X6,X7)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X6) )
| ~ spl4_8 ),
inference(resolution,[],[f779,f171]) ).
fof(f7292,plain,
( ! [X4,X5] :
( sdtasdt0(sK2(X4,X5),sz00) = sdtasdt0(sz00,sK2(X4,X5))
| ~ doDivides0(X4,X5)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X4) )
| ~ spl4_8 ),
inference(resolution,[],[f779,f168]) ).
fof(f7284,plain,
( ! [X2,X3] :
( sdtasdt0(sdtasdt0(X2,X3),sz00) = sdtasdt0(sz00,sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) )
| ~ spl4_8 ),
inference(resolution,[],[f779,f147]) ).
fof(f7282,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sz00) = sdtasdt0(sz00,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl4_8 ),
inference(resolution,[],[f779,f146]) ).
fof(f7090,plain,
( ! [X6,X7] :
( sdtpldt0(sz00,sK3(X6,X7)) = sdtpldt0(sK3(X6,X7),sz00)
| ~ sdtlseqdt0(X6,X7)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X6) )
| ~ spl4_8 ),
inference(resolution,[],[f716,f171]) ).
fof(f7087,plain,
( ! [X4,X5] :
( sdtpldt0(sK2(X4,X5),sz00) = sdtpldt0(sz00,sK2(X4,X5))
| ~ doDivides0(X4,X5)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X4) )
| ~ spl4_8 ),
inference(resolution,[],[f716,f168]) ).
fof(f7079,plain,
( ! [X2,X3] :
( sdtpldt0(sdtasdt0(X2,X3),sz00) = sdtpldt0(sz00,sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) )
| ~ spl4_8 ),
inference(resolution,[],[f716,f147]) ).
fof(f7078,plain,
( sdtpldt0(sz00,sdtpldt0(xm,xn)) = sdtpldt0(sdtpldt0(xm,xn),sz00)
| ~ spl4_8
| ~ spl4_64 ),
inference(resolution,[],[f716,f611]) ).
fof(f7077,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(sz00,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl4_8 ),
inference(resolution,[],[f716,f146]) ).
fof(f6782,plain,
( sdtasdt0(xq,xp) = sdtasdt0(xp,xq)
| ~ spl4_1
| ~ spl4_2 ),
inference(resolution,[],[f788,f192]) ).
fof(f6780,plain,
( sdtasdt0(xq,xm) = sdtasdt0(xm,xq)
| ~ spl4_2
| ~ spl4_4 ),
inference(resolution,[],[f788,f207]) ).
fof(f6480,plain,
( sdtasdt0(xq,xp) = sdtasdt0(xp,xq)
| ~ spl4_1
| ~ spl4_2 ),
inference(resolution,[],[f787,f197]) ).
fof(f6477,plain,
( sdtasdt0(xp,xm) = sdtasdt0(xm,xp)
| ~ spl4_1
| ~ spl4_4 ),
inference(resolution,[],[f787,f207]) ).
fof(f6256,plain,
( sdtasdt0(xq,xm) = sdtasdt0(xm,xq)
| ~ spl4_2
| ~ spl4_4 ),
inference(resolution,[],[f785,f197]) ).
fof(f6255,plain,
( sdtasdt0(xp,xm) = sdtasdt0(xm,xp)
| ~ spl4_1
| ~ spl4_4 ),
inference(resolution,[],[f785,f192]) ).
fof(f6252,plain,
( sdtasdt0(xm,xl) = sdtasdt0(xl,xm)
| ~ spl4_3
| ~ spl4_4 ),
inference(resolution,[],[f785,f202]) ).
fof(f6075,plain,
( sdtasdt0(xm,xl) = sdtasdt0(xl,xm)
| ~ spl4_3
| ~ spl4_4 ),
inference(resolution,[],[f784,f207]) ).
fof(f6789,plain,
( ! [X6,X7] :
( sdtasdt0(sK3(X6,X7),xq) = sdtasdt0(xq,sK3(X6,X7))
| ~ sdtlseqdt0(X6,X7)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X6) )
| ~ spl4_2 ),
inference(resolution,[],[f788,f171]) ).
fof(f6786,plain,
( ! [X4,X5] :
( sdtasdt0(sK2(X4,X5),xq) = sdtasdt0(xq,sK2(X4,X5))
| ~ doDivides0(X4,X5)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X4) )
| ~ spl4_2 ),
inference(resolution,[],[f788,f168]) ).
fof(f6778,plain,
( ! [X2,X3] :
( sdtasdt0(sdtasdt0(X2,X3),xq) = sdtasdt0(xq,sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) )
| ~ spl4_2 ),
inference(resolution,[],[f788,f147]) ).
fof(f6777,plain,
( sdtasdt0(sdtpldt0(xm,xn),xq) = sdtasdt0(xq,sdtpldt0(xm,xn))
| ~ spl4_2
| ~ spl4_64 ),
inference(resolution,[],[f788,f611]) ).
fof(f6776,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xq) = sdtasdt0(xq,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl4_2 ),
inference(resolution,[],[f788,f146]) ).
fof(f788,plain,
( ! [X13] :
( ~ aNaturalNumber0(X13)
| sdtasdt0(X13,xq) = sdtasdt0(xq,X13) )
| ~ spl4_2 ),
inference(resolution,[],[f149,f197]) ).
fof(f6486,plain,
( ! [X6,X7] :
( sdtasdt0(sK3(X6,X7),xp) = sdtasdt0(xp,sK3(X6,X7))
| ~ sdtlseqdt0(X6,X7)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X6) )
| ~ spl4_1 ),
inference(resolution,[],[f787,f171]) ).
fof(f6483,plain,
( ! [X4,X5] :
( sdtasdt0(sK2(X4,X5),xp) = sdtasdt0(xp,sK2(X4,X5))
| ~ doDivides0(X4,X5)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X4) )
| ~ spl4_1 ),
inference(resolution,[],[f787,f168]) ).
fof(f6475,plain,
( ! [X2,X3] :
( sdtasdt0(sdtasdt0(X2,X3),xp) = sdtasdt0(xp,sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) )
| ~ spl4_1 ),
inference(resolution,[],[f787,f147]) ).
fof(f6474,plain,
( sdtasdt0(sdtpldt0(xm,xn),xp) = sdtasdt0(xp,sdtpldt0(xm,xn))
| ~ spl4_1
| ~ spl4_64 ),
inference(resolution,[],[f787,f611]) ).
fof(f6473,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xp) = sdtasdt0(xp,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl4_1 ),
inference(resolution,[],[f787,f146]) ).
fof(f787,plain,
( ! [X12] :
( ~ aNaturalNumber0(X12)
| sdtasdt0(X12,xp) = sdtasdt0(xp,X12) )
| ~ spl4_1 ),
inference(resolution,[],[f149,f192]) ).
fof(f6262,plain,
( ! [X6,X7] :
( sdtasdt0(sK3(X6,X7),xm) = sdtasdt0(xm,sK3(X6,X7))
| ~ sdtlseqdt0(X6,X7)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X6) )
| ~ spl4_4 ),
inference(resolution,[],[f785,f171]) ).
fof(f6259,plain,
( ! [X4,X5] :
( sdtasdt0(sK2(X4,X5),xm) = sdtasdt0(xm,sK2(X4,X5))
| ~ doDivides0(X4,X5)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X4) )
| ~ spl4_4 ),
inference(resolution,[],[f785,f168]) ).
fof(f6251,plain,
( ! [X2,X3] :
( sdtasdt0(sdtasdt0(X2,X3),xm) = sdtasdt0(xm,sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) )
| ~ spl4_4 ),
inference(resolution,[],[f785,f147]) ).
fof(f6250,plain,
( sdtasdt0(sdtpldt0(xm,xn),xm) = sdtasdt0(xm,sdtpldt0(xm,xn))
| ~ spl4_4
| ~ spl4_64 ),
inference(resolution,[],[f785,f611]) ).
fof(f6249,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xm) = sdtasdt0(xm,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl4_4 ),
inference(resolution,[],[f785,f146]) ).
fof(f785,plain,
( ! [X10] :
( ~ aNaturalNumber0(X10)
| sdtasdt0(X10,xm) = sdtasdt0(xm,X10) )
| ~ spl4_4 ),
inference(resolution,[],[f149,f207]) ).
fof(f6084,plain,
( ! [X6,X7] :
( sdtasdt0(sK3(X6,X7),xl) = sdtasdt0(xl,sK3(X6,X7))
| ~ sdtlseqdt0(X6,X7)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X6) )
| ~ spl4_3 ),
inference(resolution,[],[f784,f171]) ).
fof(f6081,plain,
( ! [X4,X5] :
( sdtasdt0(sK2(X4,X5),xl) = sdtasdt0(xl,sK2(X4,X5))
| ~ doDivides0(X4,X5)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X4) )
| ~ spl4_3 ),
inference(resolution,[],[f784,f168]) ).
fof(f6073,plain,
( ! [X2,X3] :
( sdtasdt0(sdtasdt0(X2,X3),xl) = sdtasdt0(xl,sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) )
| ~ spl4_3 ),
inference(resolution,[],[f784,f147]) ).
fof(f6072,plain,
( sdtasdt0(sdtpldt0(xm,xn),xl) = sdtasdt0(xl,sdtpldt0(xm,xn))
| ~ spl4_3
| ~ spl4_64 ),
inference(resolution,[],[f784,f611]) ).
fof(f6071,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xl) = sdtasdt0(xl,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl4_3 ),
inference(resolution,[],[f784,f146]) ).
fof(f784,plain,
( ! [X9] :
( ~ aNaturalNumber0(X9)
| sdtasdt0(X9,xl) = sdtasdt0(xl,X9) )
| ~ spl4_3 ),
inference(resolution,[],[f149,f202]) ).
fof(f5930,plain,
( sdtpldt0(xq,xp) = sdtpldt0(xp,xq)
| ~ spl4_1
| ~ spl4_2 ),
inference(resolution,[],[f725,f192]) ).
fof(f5763,plain,
( sdtpldt0(xq,xp) = sdtpldt0(xp,xq)
| ~ spl4_1
| ~ spl4_2 ),
inference(resolution,[],[f724,f197]) ).
fof(f5936,plain,
( ! [X6,X7] :
( sdtpldt0(sK3(X6,X7),xq) = sdtpldt0(xq,sK3(X6,X7))
| ~ sdtlseqdt0(X6,X7)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X6) )
| ~ spl4_2 ),
inference(resolution,[],[f725,f171]) ).
fof(f5934,plain,
( ! [X4,X5] :
( sdtpldt0(sK2(X4,X5),xq) = sdtpldt0(xq,sK2(X4,X5))
| ~ doDivides0(X4,X5)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X4) )
| ~ spl4_2 ),
inference(resolution,[],[f725,f168]) ).
fof(f5926,plain,
( ! [X2,X3] :
( sdtpldt0(sdtasdt0(X2,X3),xq) = sdtpldt0(xq,sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) )
| ~ spl4_2 ),
inference(resolution,[],[f725,f147]) ).
fof(f5925,plain,
( sdtpldt0(sdtpldt0(xm,xn),xq) = sdtpldt0(xq,sdtpldt0(xm,xn))
| ~ spl4_2
| ~ spl4_64 ),
inference(resolution,[],[f725,f611]) ).
fof(f5924,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xq) = sdtpldt0(xq,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl4_2 ),
inference(resolution,[],[f725,f146]) ).
fof(f725,plain,
( ! [X13] :
( ~ aNaturalNumber0(X13)
| sdtpldt0(X13,xq) = sdtpldt0(xq,X13) )
| ~ spl4_2 ),
inference(resolution,[],[f148,f197]) ).
fof(f5767,plain,
( ! [X6,X7] :
( sdtpldt0(sK3(X6,X7),xp) = sdtpldt0(xp,sK3(X6,X7))
| ~ sdtlseqdt0(X6,X7)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X6) )
| ~ spl4_1 ),
inference(resolution,[],[f724,f171]) ).
fof(f5766,plain,
( ! [X4,X5] :
( sdtpldt0(sK2(X4,X5),xp) = sdtpldt0(xp,sK2(X4,X5))
| ~ doDivides0(X4,X5)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X4) )
| ~ spl4_1 ),
inference(resolution,[],[f724,f168]) ).
fof(f5758,plain,
( ! [X2,X3] :
( sdtpldt0(sdtasdt0(X2,X3),xp) = sdtpldt0(xp,sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) )
| ~ spl4_1 ),
inference(resolution,[],[f724,f147]) ).
fof(f5757,plain,
( sdtpldt0(sdtpldt0(xm,xn),xp) = sdtpldt0(xp,sdtpldt0(xm,xn))
| ~ spl4_1
| ~ spl4_64 ),
inference(resolution,[],[f724,f611]) ).
fof(f5756,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xp) = sdtpldt0(xp,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl4_1 ),
inference(resolution,[],[f724,f146]) ).
fof(f724,plain,
( ! [X12] :
( ~ aNaturalNumber0(X12)
| sdtpldt0(X12,xp) = sdtpldt0(xp,X12) )
| ~ spl4_1 ),
inference(resolution,[],[f148,f192]) ).
fof(f5590,plain,
( ! [X21,X20] :
( sdtlseqdt0(sdtasdt0(X21,X20),xm)
| ~ sdtlseqdt0(X21,xl)
| xl = X21
| sz00 = X20
| ~ aNaturalNumber0(X21)
| xp != X20 )
| ~ spl4_3
| ~ spl4_4
| spl4_11
| ~ spl4_12
| ~ spl4_15 ),
inference(subsumption_resolution,[],[f5589,f2713]) ).
fof(f5589,plain,
( ! [X21,X20] :
( sdtlseqdt0(sdtasdt0(X21,X20),xm)
| ~ sdtlseqdt0(X21,xl)
| xl = X21
| sz00 = X20
| ~ aNaturalNumber0(X21)
| ~ aNaturalNumber0(X20)
| xp != X20 )
| ~ spl4_3
| ~ spl4_4
| spl4_11
| ~ spl4_12
| ~ spl4_15 ),
inference(subsumption_resolution,[],[f5439,f202]) ).
fof(f5439,plain,
( ! [X21,X20] :
( sdtlseqdt0(sdtasdt0(X21,X20),xm)
| ~ sdtlseqdt0(X21,xl)
| xl = X21
| sz00 = X20
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X21)
| ~ aNaturalNumber0(X20)
| xp != X20 )
| ~ spl4_3
| ~ spl4_4
| spl4_11
| ~ spl4_12
| ~ spl4_15 ),
inference(superposition,[],[f181,f4694]) ).
fof(f5529,plain,
( ! [X21,X20] :
( sdtlseqdt0(xm,sdtasdt0(X21,X20))
| ~ sdtlseqdt0(xl,X21)
| xl = X21
| sz00 = X20
| ~ aNaturalNumber0(X21)
| xp != X20 )
| ~ spl4_3
| ~ spl4_4
| spl4_11
| ~ spl4_12
| ~ spl4_15 ),
inference(subsumption_resolution,[],[f5528,f2713]) ).
fof(f5528,plain,
( ! [X21,X20] :
( sdtlseqdt0(xm,sdtasdt0(X21,X20))
| ~ sdtlseqdt0(xl,X21)
| xl = X21
| sz00 = X20
| ~ aNaturalNumber0(X21)
| ~ aNaturalNumber0(X20)
| xp != X20 )
| ~ spl4_3
| ~ spl4_4
| spl4_11
| ~ spl4_12
| ~ spl4_15 ),
inference(subsumption_resolution,[],[f5398,f202]) ).
fof(f5398,plain,
( ! [X21,X20] :
( sdtlseqdt0(xm,sdtasdt0(X21,X20))
| ~ sdtlseqdt0(xl,X21)
| xl = X21
| sz00 = X20
| ~ aNaturalNumber0(X21)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X20)
| xp != X20 )
| ~ spl4_3
| ~ spl4_4
| spl4_11
| ~ spl4_12
| ~ spl4_15 ),
inference(superposition,[],[f181,f4694]) ).
fof(f5468,plain,
! [X8,X9,X7] :
( ~ sdtlseqdt0(X7,X8)
| X7 = X8
| sz00 = X9
| ~ aNaturalNumber0(X8)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X9)
| ~ sdtlseqdt0(sdtasdt0(X8,X9),sdtasdt0(X7,X9)) ),
inference(subsumption_resolution,[],[f5467,f147]) ).
fof(f5467,plain,
! [X8,X9,X7] :
( ~ sdtlseqdt0(X7,X8)
| X7 = X8
| sz00 = X9
| ~ aNaturalNumber0(X8)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X9)
| ~ sdtlseqdt0(sdtasdt0(X8,X9),sdtasdt0(X7,X9))
| ~ aNaturalNumber0(sdtasdt0(X8,X9)) ),
inference(subsumption_resolution,[],[f5466,f147]) ).
fof(f5466,plain,
! [X8,X9,X7] :
( ~ sdtlseqdt0(X7,X8)
| X7 = X8
| sz00 = X9
| ~ aNaturalNumber0(X8)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X9)
| ~ sdtlseqdt0(sdtasdt0(X8,X9),sdtasdt0(X7,X9))
| ~ aNaturalNumber0(sdtasdt0(X7,X9))
| ~ aNaturalNumber0(sdtasdt0(X8,X9)) ),
inference(subsumption_resolution,[],[f5377,f145]) ).
fof(f5377,plain,
! [X8,X9,X7] :
( ~ sdtlseqdt0(X7,X8)
| X7 = X8
| sz00 = X9
| ~ aNaturalNumber0(X8)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X9)
| sdtasdt0(X8,X9) = sdtasdt0(X7,X9)
| ~ sdtlseqdt0(sdtasdt0(X8,X9),sdtasdt0(X7,X9))
| ~ aNaturalNumber0(sdtasdt0(X7,X9))
| ~ aNaturalNumber0(sdtasdt0(X8,X9)) ),
inference(resolution,[],[f181,f167]) ).
fof(f5465,plain,
! [X6,X4,X5] :
( ~ sdtlseqdt0(X4,X5)
| X4 = X5
| sz00 = X6
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X6)
| sdtasdt0(X5,X6) = sdtpldt0(sdtasdt0(X4,X6),sK3(sdtasdt0(X4,X6),sdtasdt0(X5,X6))) ),
inference(subsumption_resolution,[],[f5464,f147]) ).
fof(f5464,plain,
! [X6,X4,X5] :
( ~ sdtlseqdt0(X4,X5)
| X4 = X5
| sz00 = X6
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X6)
| sdtasdt0(X5,X6) = sdtpldt0(sdtasdt0(X4,X6),sK3(sdtasdt0(X4,X6),sdtasdt0(X5,X6)))
| ~ aNaturalNumber0(sdtasdt0(X4,X6)) ),
inference(subsumption_resolution,[],[f5376,f147]) ).
fof(f5376,plain,
! [X6,X4,X5] :
( ~ sdtlseqdt0(X4,X5)
| X4 = X5
| sz00 = X6
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X6)
| sdtasdt0(X5,X6) = sdtpldt0(sdtasdt0(X4,X6),sK3(sdtasdt0(X4,X6),sdtasdt0(X5,X6)))
| ~ aNaturalNumber0(sdtasdt0(X5,X6))
| ~ aNaturalNumber0(sdtasdt0(X4,X6)) ),
inference(resolution,[],[f181,f172]) ).
fof(f5463,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(X3) ),
inference(subsumption_resolution,[],[f5462,f147]) ).
fof(f5462,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(X0,X2))
| ~ aNaturalNumber0(X3) ),
inference(subsumption_resolution,[],[f5375,f147]) ).
fof(f5375,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) ),
inference(resolution,[],[f181,f184]) ).
fof(f5242,plain,
( ! [X21,X20] :
( sdtlseqdt0(sdtasdt0(xl,X21),xm)
| ~ sdtlseqdt0(X21,X20)
| X20 = X21
| ~ aNaturalNumber0(X21)
| xp != X20 )
| ~ spl4_3
| ~ spl4_4
| spl4_11
| ~ spl4_12
| ~ spl4_15 ),
inference(subsumption_resolution,[],[f5241,f2713]) ).
fof(f5241,plain,
( ! [X21,X20] :
( sdtlseqdt0(sdtasdt0(xl,X21),xm)
| ~ sdtlseqdt0(X21,X20)
| X20 = X21
| ~ aNaturalNumber0(X20)
| ~ aNaturalNumber0(X21)
| xp != X20 )
| ~ spl4_3
| ~ spl4_4
| spl4_11
| ~ spl4_12
| ~ spl4_15 ),
inference(subsumption_resolution,[],[f5240,f202]) ).
fof(f5240,plain,
( ! [X21,X20] :
( sdtlseqdt0(sdtasdt0(xl,X21),xm)
| ~ sdtlseqdt0(X21,X20)
| X20 = X21
| ~ aNaturalNumber0(X20)
| ~ aNaturalNumber0(X21)
| ~ aNaturalNumber0(xl)
| xp != X20 )
| ~ spl4_3
| ~ spl4_4
| spl4_11
| ~ spl4_12
| ~ spl4_15 ),
inference(subsumption_resolution,[],[f5088,f242]) ).
fof(f5088,plain,
( ! [X21,X20] :
( sdtlseqdt0(sdtasdt0(xl,X21),xm)
| ~ sdtlseqdt0(X21,X20)
| X20 = X21
| sz00 = xl
| ~ aNaturalNumber0(X20)
| ~ aNaturalNumber0(X21)
| ~ aNaturalNumber0(xl)
| xp != X20 )
| ~ spl4_3
| ~ spl4_4
| spl4_11
| ~ spl4_12
| ~ spl4_15 ),
inference(superposition,[],[f179,f4694]) ).
fof(f5151,plain,
( ! [X21,X20] :
( sdtlseqdt0(xm,sdtasdt0(xl,X21))
| ~ sdtlseqdt0(X20,X21)
| X20 = X21
| ~ aNaturalNumber0(X21)
| xp != X20 )
| ~ spl4_3
| ~ spl4_4
| spl4_11
| ~ spl4_12
| ~ spl4_15 ),
inference(subsumption_resolution,[],[f5150,f2713]) ).
fof(f5150,plain,
( ! [X21,X20] :
( sdtlseqdt0(xm,sdtasdt0(xl,X21))
| ~ sdtlseqdt0(X20,X21)
| X20 = X21
| ~ aNaturalNumber0(X21)
| ~ aNaturalNumber0(X20)
| xp != X20 )
| ~ spl4_3
| ~ spl4_4
| spl4_11
| ~ spl4_12
| ~ spl4_15 ),
inference(subsumption_resolution,[],[f5149,f202]) ).
fof(f5149,plain,
( ! [X21,X20] :
( sdtlseqdt0(xm,sdtasdt0(xl,X21))
| ~ sdtlseqdt0(X20,X21)
| X20 = X21
| ~ aNaturalNumber0(X21)
| ~ aNaturalNumber0(X20)
| ~ aNaturalNumber0(xl)
| xp != X20 )
| ~ spl4_3
| ~ spl4_4
| spl4_11
| ~ spl4_12
| ~ spl4_15 ),
inference(subsumption_resolution,[],[f5047,f242]) ).
fof(f5047,plain,
( ! [X21,X20] :
( sdtlseqdt0(xm,sdtasdt0(xl,X21))
| ~ sdtlseqdt0(X20,X21)
| X20 = X21
| sz00 = xl
| ~ aNaturalNumber0(X21)
| ~ aNaturalNumber0(X20)
| ~ aNaturalNumber0(xl)
| xp != X20 )
| ~ spl4_3
| ~ spl4_4
| spl4_11
| ~ spl4_12
| ~ spl4_15 ),
inference(superposition,[],[f179,f4694]) ).
fof(f5117,plain,
! [X8,X9,X7] :
( ~ sdtlseqdt0(X7,X8)
| X7 = X8
| sz00 = X9
| ~ aNaturalNumber0(X8)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X9)
| ~ sdtlseqdt0(sdtasdt0(X9,X8),sdtasdt0(X9,X7)) ),
inference(subsumption_resolution,[],[f5116,f147]) ).
fof(f5116,plain,
! [X8,X9,X7] :
( ~ sdtlseqdt0(X7,X8)
| X7 = X8
| sz00 = X9
| ~ aNaturalNumber0(X8)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X9)
| ~ sdtlseqdt0(sdtasdt0(X9,X8),sdtasdt0(X9,X7))
| ~ aNaturalNumber0(sdtasdt0(X9,X8)) ),
inference(subsumption_resolution,[],[f5115,f147]) ).
fof(f5115,plain,
! [X8,X9,X7] :
( ~ sdtlseqdt0(X7,X8)
| X7 = X8
| sz00 = X9
| ~ aNaturalNumber0(X8)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X9)
| ~ sdtlseqdt0(sdtasdt0(X9,X8),sdtasdt0(X9,X7))
| ~ aNaturalNumber0(sdtasdt0(X9,X7))
| ~ aNaturalNumber0(sdtasdt0(X9,X8)) ),
inference(subsumption_resolution,[],[f5026,f144]) ).
fof(f5026,plain,
! [X8,X9,X7] :
( ~ sdtlseqdt0(X7,X8)
| X7 = X8
| sz00 = X9
| ~ aNaturalNumber0(X8)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X9)
| sdtasdt0(X9,X8) = sdtasdt0(X9,X7)
| ~ sdtlseqdt0(sdtasdt0(X9,X8),sdtasdt0(X9,X7))
| ~ aNaturalNumber0(sdtasdt0(X9,X7))
| ~ aNaturalNumber0(sdtasdt0(X9,X8)) ),
inference(resolution,[],[f179,f167]) ).
fof(f5114,plain,
! [X6,X4,X5] :
( ~ sdtlseqdt0(X4,X5)
| X4 = X5
| sz00 = X6
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X6)
| sdtasdt0(X6,X5) = sdtpldt0(sdtasdt0(X6,X4),sK3(sdtasdt0(X6,X4),sdtasdt0(X6,X5))) ),
inference(subsumption_resolution,[],[f5113,f147]) ).
fof(f5113,plain,
! [X6,X4,X5] :
( ~ sdtlseqdt0(X4,X5)
| X4 = X5
| sz00 = X6
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X6)
| sdtasdt0(X6,X5) = sdtpldt0(sdtasdt0(X6,X4),sK3(sdtasdt0(X6,X4),sdtasdt0(X6,X5)))
| ~ aNaturalNumber0(sdtasdt0(X6,X4)) ),
inference(subsumption_resolution,[],[f5025,f147]) ).
fof(f5025,plain,
! [X6,X4,X5] :
( ~ sdtlseqdt0(X4,X5)
| X4 = X5
| sz00 = X6
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X6)
| sdtasdt0(X6,X5) = sdtpldt0(sdtasdt0(X6,X4),sK3(sdtasdt0(X6,X4),sdtasdt0(X6,X5)))
| ~ aNaturalNumber0(sdtasdt0(X6,X5))
| ~ aNaturalNumber0(sdtasdt0(X6,X4)) ),
inference(resolution,[],[f179,f172]) ).
fof(f5112,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(X3) ),
inference(subsumption_resolution,[],[f5111,f147]) ).
fof(f5111,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,X0))
| ~ aNaturalNumber0(X3) ),
inference(subsumption_resolution,[],[f5024,f147]) ).
fof(f5024,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) ),
inference(resolution,[],[f179,f184]) ).
fof(f4970,plain,
! [X0,X1] :
( sdtsldt0(sdtasdt0(X0,X1),X0) = X1
| ~ aNaturalNumber0(X1)
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(subsumption_resolution,[],[f4874,f147]) ).
fof(f4874,plain,
! [X0,X1] :
( sdtsldt0(sdtasdt0(X0,X1),X0) = X1
| ~ aNaturalNumber0(X1)
| sz00 = X0
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f4777]) ).
fof(f4909,plain,
( ! [X21,X20] :
( xm != X21
| sdtsldt0(X21,xl) = X20
| ~ aNaturalNumber0(X21)
| xp != X20 )
| ~ spl4_3
| ~ spl4_4
| spl4_11
| ~ spl4_12
| ~ spl4_15 ),
inference(subsumption_resolution,[],[f4908,f2713]) ).
fof(f4908,plain,
( ! [X21,X20] :
( xm != X21
| sdtsldt0(X21,xl) = X20
| ~ aNaturalNumber0(X20)
| ~ aNaturalNumber0(X21)
| xp != X20 )
| ~ spl4_3
| ~ spl4_4
| spl4_11
| ~ spl4_12
| ~ spl4_15 ),
inference(subsumption_resolution,[],[f4907,f202]) ).
fof(f4907,plain,
( ! [X21,X20] :
( xm != X21
| sdtsldt0(X21,xl) = X20
| ~ aNaturalNumber0(X20)
| ~ aNaturalNumber0(X21)
| ~ aNaturalNumber0(xl)
| xp != X20 )
| ~ spl4_3
| ~ spl4_4
| spl4_11
| ~ spl4_12
| ~ spl4_15 ),
inference(subsumption_resolution,[],[f4853,f242]) ).
fof(f4853,plain,
( ! [X21,X20] :
( xm != X21
| sdtsldt0(X21,xl) = X20
| ~ aNaturalNumber0(X20)
| sz00 = xl
| ~ aNaturalNumber0(X21)
| ~ aNaturalNumber0(xl)
| xp != X20 )
| ~ spl4_3
| ~ spl4_4
| spl4_11
| ~ spl4_12
| ~ spl4_15 ),
inference(superposition,[],[f4777,f4694]) ).
fof(f4777,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X2) != X1
| sdtsldt0(X1,X0) = X2
| ~ aNaturalNumber0(X2)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(subsumption_resolution,[],[f166,f170]) ).
fof(f4729,plain,
( ! [X6,X7] :
( xm != sdtasdt0(X7,X6)
| xl = X7
| ~ aNaturalNumber0(X7)
| sz00 = X6
| xp != X6 )
| ~ spl4_3
| ~ spl4_4
| spl4_11
| ~ spl4_12
| ~ spl4_15 ),
inference(subsumption_resolution,[],[f4728,f2713]) ).
fof(f4728,plain,
( ! [X6,X7] :
( xm != sdtasdt0(X7,X6)
| xl = X7
| ~ aNaturalNumber0(X7)
| sz00 = X6
| ~ aNaturalNumber0(X6)
| xp != X6 )
| ~ spl4_3
| ~ spl4_4
| spl4_11
| ~ spl4_12
| ~ spl4_15 ),
inference(subsumption_resolution,[],[f4712,f202]) ).
fof(f4712,plain,
( ! [X6,X7] :
( xm != sdtasdt0(X7,X6)
| xl = X7
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X7)
| sz00 = X6
| ~ aNaturalNumber0(X6)
| xp != X6 )
| ~ spl4_3
| ~ spl4_4
| spl4_11
| ~ spl4_12
| ~ spl4_15 ),
inference(superposition,[],[f145,f4694]) ).
fof(f4727,plain,
( ! [X4,X5] :
( xm != sdtasdt0(X5,X4)
| xl = X5
| ~ aNaturalNumber0(X5)
| sz00 = X4
| xp != X4 )
| ~ spl4_3
| ~ spl4_4
| spl4_11
| ~ spl4_12
| ~ spl4_15 ),
inference(subsumption_resolution,[],[f4726,f2713]) ).
fof(f4726,plain,
( ! [X4,X5] :
( xm != sdtasdt0(X5,X4)
| xl = X5
| ~ aNaturalNumber0(X5)
| sz00 = X4
| ~ aNaturalNumber0(X4)
| xp != X4 )
| ~ spl4_3
| ~ spl4_4
| spl4_11
| ~ spl4_12
| ~ spl4_15 ),
inference(subsumption_resolution,[],[f4711,f202]) ).
fof(f4711,plain,
( ! [X4,X5] :
( xm != sdtasdt0(X5,X4)
| xl = X5
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(xl)
| sz00 = X4
| ~ aNaturalNumber0(X4)
| xp != X4 )
| ~ spl4_3
| ~ spl4_4
| spl4_11
| ~ spl4_12
| ~ spl4_15 ),
inference(superposition,[],[f145,f4694]) ).
fof(f4725,plain,
( ! [X2,X3] :
( xm != sdtasdt0(xl,X3)
| X2 = X3
| ~ aNaturalNumber0(X3)
| xp != X2 )
| ~ spl4_3
| ~ spl4_4
| spl4_11
| ~ spl4_12
| ~ spl4_15 ),
inference(subsumption_resolution,[],[f4724,f2713]) ).
fof(f4724,plain,
( ! [X2,X3] :
( xm != sdtasdt0(xl,X3)
| X2 = X3
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| xp != X2 )
| ~ spl4_3
| ~ spl4_4
| spl4_11
| ~ spl4_12
| ~ spl4_15 ),
inference(subsumption_resolution,[],[f4723,f202]) ).
fof(f4723,plain,
( ! [X2,X3] :
( xm != sdtasdt0(xl,X3)
| X2 = X3
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(xl)
| xp != X2 )
| ~ spl4_3
| ~ spl4_4
| spl4_11
| ~ spl4_12
| ~ spl4_15 ),
inference(subsumption_resolution,[],[f4710,f242]) ).
fof(f4710,plain,
( ! [X2,X3] :
( xm != sdtasdt0(xl,X3)
| X2 = X3
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sz00 = xl
| ~ aNaturalNumber0(xl)
| xp != X2 )
| ~ spl4_3
| ~ spl4_4
| spl4_11
| ~ spl4_12
| ~ spl4_15 ),
inference(superposition,[],[f144,f4694]) ).
fof(f4722,plain,
( ! [X0,X1] :
( xm != sdtasdt0(xl,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| xp != X0 )
| ~ spl4_3
| ~ spl4_4
| spl4_11
| ~ spl4_12
| ~ spl4_15 ),
inference(subsumption_resolution,[],[f4721,f2713]) ).
fof(f4721,plain,
( ! [X0,X1] :
( xm != sdtasdt0(xl,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| xp != X0 )
| ~ spl4_3
| ~ spl4_4
| spl4_11
| ~ spl4_12
| ~ spl4_15 ),
inference(subsumption_resolution,[],[f4720,f202]) ).
fof(f4720,plain,
( ! [X0,X1] :
( xm != sdtasdt0(xl,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xl)
| xp != X0 )
| ~ spl4_3
| ~ spl4_4
| spl4_11
| ~ spl4_12
| ~ spl4_15 ),
inference(subsumption_resolution,[],[f4709,f242]) ).
fof(f4709,plain,
( ! [X0,X1] :
( xm != sdtasdt0(xl,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = xl
| ~ aNaturalNumber0(xl)
| xp != X0 )
| ~ spl4_3
| ~ spl4_4
| spl4_11
| ~ spl4_12
| ~ spl4_15 ),
inference(superposition,[],[f144,f4694]) ).
fof(f4694,plain,
( ! [X0] :
( xm = sdtasdt0(xl,X0)
| xp != X0 )
| ~ spl4_3
| ~ spl4_4
| spl4_11
| ~ spl4_12
| ~ spl4_15 ),
inference(subsumption_resolution,[],[f4693,f202]) ).
fof(f4693,plain,
( ! [X0] :
( xp != X0
| xm = sdtasdt0(xl,X0)
| ~ aNaturalNumber0(xl) )
| ~ spl4_4
| spl4_11
| ~ spl4_12
| ~ spl4_15 ),
inference(subsumption_resolution,[],[f4692,f207]) ).
fof(f4692,plain,
( ! [X0] :
( xp != X0
| xm = sdtasdt0(xl,X0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl) )
| spl4_11
| ~ spl4_12
| ~ spl4_15 ),
inference(subsumption_resolution,[],[f4691,f242]) ).
fof(f4691,plain,
( ! [X0] :
( xp != X0
| xm = sdtasdt0(xl,X0)
| sz00 = xl
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl) )
| ~ spl4_12
| ~ spl4_15 ),
inference(subsumption_resolution,[],[f4688,f247]) ).
fof(f4688,plain,
( ! [X0] :
( xp != X0
| xm = sdtasdt0(xl,X0)
| ~ doDivides0(xl,xm)
| sz00 = xl
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl) )
| ~ spl4_15 ),
inference(superposition,[],[f165,f262]) ).
fof(f4690,plain,
! [X0,X1] :
( sdtasdt0(X0,sdtsldt0(X1,X0)) = X1
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f165]) ).
fof(f4568,plain,
! [X34,X35,X32,X33] :
( sdtasdt0(sdtpldt0(X32,sK3(X33,X34)),X35) = sdtpldt0(sdtasdt0(X32,X35),sdtasdt0(sK3(X33,X34),X35))
| ~ aNaturalNumber0(X32)
| ~ aNaturalNumber0(X35)
| ~ sdtlseqdt0(X33,X34)
| ~ aNaturalNumber0(X34)
| ~ aNaturalNumber0(X33) ),
inference(resolution,[],[f177,f171]) ).
fof(f4567,plain,
! [X31,X28,X29,X30] :
( sdtasdt0(sdtpldt0(X28,sK2(X29,X30)),X31) = sdtpldt0(sdtasdt0(X28,X31),sdtasdt0(sK2(X29,X30),X31))
| ~ aNaturalNumber0(X28)
| ~ aNaturalNumber0(X31)
| ~ doDivides0(X29,X30)
| ~ aNaturalNumber0(X30)
| ~ aNaturalNumber0(X29) ),
inference(resolution,[],[f177,f168]) ).
fof(f4564,plain,
( ! [X22,X23] :
( sdtasdt0(sdtpldt0(X22,xq),X23) = sdtpldt0(sdtasdt0(X22,X23),sdtasdt0(xq,X23))
| ~ aNaturalNumber0(X22)
| ~ aNaturalNumber0(X23) )
| ~ spl4_2 ),
inference(resolution,[],[f177,f197]) ).
fof(f4563,plain,
( ! [X21,X20] :
( sdtasdt0(sdtpldt0(X20,xp),X21) = sdtpldt0(sdtasdt0(X20,X21),sdtasdt0(xp,X21))
| ~ aNaturalNumber0(X20)
| ~ aNaturalNumber0(X21) )
| ~ spl4_1 ),
inference(resolution,[],[f177,f192]) ).
fof(f4561,plain,
( ! [X16,X17] :
( sdtasdt0(sdtpldt0(X16,xm),X17) = sdtpldt0(sdtasdt0(X16,X17),sdtasdt0(xm,X17))
| ~ aNaturalNumber0(X16)
| ~ aNaturalNumber0(X17) )
| ~ spl4_4 ),
inference(resolution,[],[f177,f207]) ).
fof(f4560,plain,
( ! [X14,X15] :
( sdtasdt0(sdtpldt0(X14,xl),X15) = sdtpldt0(sdtasdt0(X14,X15),sdtasdt0(xl,X15))
| ~ aNaturalNumber0(X14)
| ~ aNaturalNumber0(X15) )
| ~ spl4_3 ),
inference(resolution,[],[f177,f202]) ).
fof(f4559,plain,
! [X10,X11,X12,X13] :
( sdtasdt0(sdtpldt0(X10,sdtasdt0(X11,X12)),X13) = sdtpldt0(sdtasdt0(X10,X13),sdtasdt0(sdtasdt0(X11,X12),X13))
| ~ aNaturalNumber0(X10)
| ~ aNaturalNumber0(X13)
| ~ aNaturalNumber0(X12)
| ~ aNaturalNumber0(X11) ),
inference(resolution,[],[f177,f147]) ).
fof(f4558,plain,
( ! [X8,X9] :
( sdtasdt0(sdtpldt0(X8,sdtpldt0(xm,xn)),X9) = sdtpldt0(sdtasdt0(X8,X9),sdtasdt0(sdtpldt0(xm,xn),X9))
| ~ aNaturalNumber0(X8)
| ~ aNaturalNumber0(X9) )
| ~ spl4_64 ),
inference(resolution,[],[f177,f611]) ).
fof(f4557,plain,
! [X6,X7,X4,X5] :
( sdtasdt0(sdtpldt0(X4,sdtpldt0(X5,X6)),X7) = sdtpldt0(sdtasdt0(X4,X7),sdtasdt0(sdtpldt0(X5,X6),X7))
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X5) ),
inference(resolution,[],[f177,f146]) ).
fof(f4555,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,sz00),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sz00,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl4_8 ),
inference(resolution,[],[f177,f227]) ).
fof(f4536,plain,
! [X34,X35,X32,X33] :
( sdtasdt0(X32,sdtpldt0(X33,sK3(X34,X35))) = sdtpldt0(sdtasdt0(X32,X33),sdtasdt0(X32,sK3(X34,X35)))
| ~ aNaturalNumber0(X33)
| ~ aNaturalNumber0(X32)
| ~ sdtlseqdt0(X34,X35)
| ~ aNaturalNumber0(X35)
| ~ aNaturalNumber0(X34) ),
inference(resolution,[],[f176,f171]) ).
fof(f4535,plain,
! [X31,X28,X29,X30] :
( sdtasdt0(X28,sdtpldt0(X29,sK2(X30,X31))) = sdtpldt0(sdtasdt0(X28,X29),sdtasdt0(X28,sK2(X30,X31)))
| ~ aNaturalNumber0(X29)
| ~ aNaturalNumber0(X28)
| ~ doDivides0(X30,X31)
| ~ aNaturalNumber0(X31)
| ~ aNaturalNumber0(X30) ),
inference(resolution,[],[f176,f168]) ).
fof(f4532,plain,
( ! [X22,X23] :
( sdtasdt0(X22,sdtpldt0(X23,xq)) = sdtpldt0(sdtasdt0(X22,X23),sdtasdt0(X22,xq))
| ~ aNaturalNumber0(X23)
| ~ aNaturalNumber0(X22) )
| ~ spl4_2 ),
inference(resolution,[],[f176,f197]) ).
fof(f4531,plain,
( ! [X21,X20] :
( sdtasdt0(X20,sdtpldt0(X21,xp)) = sdtpldt0(sdtasdt0(X20,X21),sdtasdt0(X20,xp))
| ~ aNaturalNumber0(X21)
| ~ aNaturalNumber0(X20) )
| ~ spl4_1 ),
inference(resolution,[],[f176,f192]) ).
fof(f4529,plain,
( ! [X16,X17] :
( sdtasdt0(X16,sdtpldt0(X17,xm)) = sdtpldt0(sdtasdt0(X16,X17),sdtasdt0(X16,xm))
| ~ aNaturalNumber0(X17)
| ~ aNaturalNumber0(X16) )
| ~ spl4_4 ),
inference(resolution,[],[f176,f207]) ).
fof(f4528,plain,
( ! [X14,X15] :
( sdtasdt0(X14,sdtpldt0(X15,xl)) = sdtpldt0(sdtasdt0(X14,X15),sdtasdt0(X14,xl))
| ~ aNaturalNumber0(X15)
| ~ aNaturalNumber0(X14) )
| ~ spl4_3 ),
inference(resolution,[],[f176,f202]) ).
fof(f4527,plain,
! [X10,X11,X12,X13] :
( sdtasdt0(X10,sdtpldt0(X11,sdtasdt0(X12,X13))) = sdtpldt0(sdtasdt0(X10,X11),sdtasdt0(X10,sdtasdt0(X12,X13)))
| ~ aNaturalNumber0(X11)
| ~ aNaturalNumber0(X10)
| ~ aNaturalNumber0(X13)
| ~ aNaturalNumber0(X12) ),
inference(resolution,[],[f176,f147]) ).
fof(f4526,plain,
( ! [X8,X9] :
( sdtasdt0(X8,sdtpldt0(X9,sdtpldt0(xm,xn))) = sdtpldt0(sdtasdt0(X8,X9),sdtasdt0(X8,sdtpldt0(xm,xn)))
| ~ aNaturalNumber0(X9)
| ~ aNaturalNumber0(X8) )
| ~ spl4_64 ),
inference(resolution,[],[f176,f611]) ).
fof(f4525,plain,
! [X6,X7,X4,X5] :
( sdtasdt0(X4,sdtpldt0(X5,sdtpldt0(X6,X7))) = sdtpldt0(sdtasdt0(X4,X5),sdtasdt0(X4,sdtpldt0(X6,X7)))
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X6) ),
inference(resolution,[],[f176,f146]) ).
fof(f4523,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sz00)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz00))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl4_8 ),
inference(resolution,[],[f176,f227]) ).
fof(f4458,plain,
( ! [X32] :
( sdtlseqdt0(sdtpldt0(X32,xq),xq)
| ~ sdtlseqdt0(X32,sz00)
| sz00 = X32
| ~ aNaturalNumber0(X32) )
| ~ spl4_2
| ~ spl4_8
| ~ spl4_46 ),
inference(subsumption_resolution,[],[f4457,f227]) ).
fof(f4457,plain,
( ! [X32] :
( sdtlseqdt0(sdtpldt0(X32,xq),xq)
| ~ sdtlseqdt0(X32,sz00)
| sz00 = X32
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X32) )
| ~ spl4_2
| ~ spl4_46 ),
inference(subsumption_resolution,[],[f4280,f197]) ).
fof(f4280,plain,
( ! [X32] :
( sdtlseqdt0(sdtpldt0(X32,xq),xq)
| ~ aNaturalNumber0(xq)
| ~ sdtlseqdt0(X32,sz00)
| sz00 = X32
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X32) )
| ~ spl4_46 ),
inference(superposition,[],[f163,f462]) ).
fof(f4455,plain,
( ! [X31] :
( sdtlseqdt0(sdtpldt0(X31,xp),xp)
| ~ sdtlseqdt0(X31,sz00)
| sz00 = X31
| ~ aNaturalNumber0(X31) )
| ~ spl4_1
| ~ spl4_8
| ~ spl4_45 ),
inference(subsumption_resolution,[],[f4454,f227]) ).
fof(f4454,plain,
( ! [X31] :
( sdtlseqdt0(sdtpldt0(X31,xp),xp)
| ~ sdtlseqdt0(X31,sz00)
| sz00 = X31
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X31) )
| ~ spl4_1
| ~ spl4_45 ),
inference(subsumption_resolution,[],[f4279,f192]) ).
fof(f4279,plain,
( ! [X31] :
( sdtlseqdt0(sdtpldt0(X31,xp),xp)
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(X31,sz00)
| sz00 = X31
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X31) )
| ~ spl4_45 ),
inference(superposition,[],[f163,f457]) ).
fof(f4370,plain,
( ! [X32] :
( sdtlseqdt0(xq,sdtpldt0(X32,xq))
| ~ sdtlseqdt0(sz00,X32)
| sz00 = X32
| ~ aNaturalNumber0(X32) )
| ~ spl4_2
| ~ spl4_8
| ~ spl4_46 ),
inference(subsumption_resolution,[],[f4369,f227]) ).
fof(f4369,plain,
( ! [X32] :
( sdtlseqdt0(xq,sdtpldt0(X32,xq))
| ~ sdtlseqdt0(sz00,X32)
| sz00 = X32
| ~ aNaturalNumber0(X32)
| ~ aNaturalNumber0(sz00) )
| ~ spl4_2
| ~ spl4_46 ),
inference(subsumption_resolution,[],[f4231,f197]) ).
fof(f4231,plain,
( ! [X32] :
( sdtlseqdt0(xq,sdtpldt0(X32,xq))
| ~ aNaturalNumber0(xq)
| ~ sdtlseqdt0(sz00,X32)
| sz00 = X32
| ~ aNaturalNumber0(X32)
| ~ aNaturalNumber0(sz00) )
| ~ spl4_46 ),
inference(superposition,[],[f163,f462]) ).
fof(f4368,plain,
( ! [X31] :
( sdtlseqdt0(xp,sdtpldt0(X31,xp))
| ~ sdtlseqdt0(sz00,X31)
| sz00 = X31
| ~ aNaturalNumber0(X31) )
| ~ spl4_1
| ~ spl4_8
| ~ spl4_45 ),
inference(subsumption_resolution,[],[f4367,f227]) ).
fof(f4367,plain,
( ! [X31] :
( sdtlseqdt0(xp,sdtpldt0(X31,xp))
| ~ sdtlseqdt0(sz00,X31)
| sz00 = X31
| ~ aNaturalNumber0(X31)
| ~ aNaturalNumber0(sz00) )
| ~ spl4_1
| ~ spl4_45 ),
inference(subsumption_resolution,[],[f4230,f192]) ).
fof(f4230,plain,
( ! [X31] :
( sdtlseqdt0(xp,sdtpldt0(X31,xp))
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(sz00,X31)
| sz00 = X31
| ~ aNaturalNumber0(X31)
| ~ aNaturalNumber0(sz00) )
| ~ spl4_45 ),
inference(superposition,[],[f163,f457]) ).
fof(f4143,plain,
( ! [X1] :
( xq != X1
| xp != X1 )
| ~ spl4_1
| ~ spl4_2
| ~ spl4_3
| ~ spl4_4
| ~ spl4_8
| spl4_11
| ~ spl4_12
| ~ spl4_15
| ~ spl4_17
| ~ spl4_19
| ~ spl4_45
| ~ spl4_46
| spl4_49
| ~ spl4_64 ),
inference(subsumption_resolution,[],[f4139,f479]) ).
fof(f4139,plain,
( ! [X1] :
( xp = xq
| xq != X1
| xp != X1 )
| ~ spl4_1
| ~ spl4_2
| ~ spl4_3
| ~ spl4_4
| ~ spl4_8
| spl4_11
| ~ spl4_12
| ~ spl4_15
| ~ spl4_17
| ~ spl4_19
| ~ spl4_45
| ~ spl4_46
| ~ spl4_64 ),
inference(superposition,[],[f3703,f3700]) ).
fof(f4146,plain,
( ! [X2,X1] :
( xq != X2
| sdtpldt0(sz00,X2) = X1
| ~ sdtlseqdt0(sz00,X1)
| xq != X1 )
| ~ spl4_2
| ~ spl4_3
| ~ spl4_8
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_46
| ~ spl4_64 ),
inference(subsumption_resolution,[],[f4145,f2717]) ).
fof(f4145,plain,
( ! [X2,X1] :
( xq != X2
| sdtpldt0(sz00,X2) = X1
| ~ sdtlseqdt0(sz00,X1)
| ~ aNaturalNumber0(X1)
| xq != X1 )
| ~ spl4_2
| ~ spl4_3
| ~ spl4_8
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_46
| ~ spl4_64 ),
inference(subsumption_resolution,[],[f4141,f227]) ).
fof(f4141,plain,
( ! [X2,X1] :
( xq != X2
| sdtpldt0(sz00,X2) = X1
| ~ sdtlseqdt0(sz00,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sz00)
| xq != X1 )
| ~ spl4_2
| ~ spl4_3
| ~ spl4_8
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_46
| ~ spl4_64 ),
inference(superposition,[],[f154,f3703]) ).
fof(f4144,plain,
( ! [X0] :
( xp != X0
| xq != X0 )
| ~ spl4_1
| ~ spl4_2
| ~ spl4_3
| ~ spl4_4
| ~ spl4_8
| spl4_11
| ~ spl4_12
| ~ spl4_15
| ~ spl4_17
| ~ spl4_19
| ~ spl4_45
| ~ spl4_46
| spl4_49
| ~ spl4_64 ),
inference(subsumption_resolution,[],[f4140,f479]) ).
fof(f4140,plain,
( ! [X0] :
( xp = xq
| xp != X0
| xq != X0 )
| ~ spl4_1
| ~ spl4_2
| ~ spl4_3
| ~ spl4_4
| ~ spl4_8
| spl4_11
| ~ spl4_12
| ~ spl4_15
| ~ spl4_17
| ~ spl4_19
| ~ spl4_45
| ~ spl4_46
| ~ spl4_64 ),
inference(superposition,[],[f3700,f3703]) ).
fof(f3703,plain,
( ! [X32] :
( xq = sdtmndt0(X32,sz00)
| xq != X32 )
| ~ spl4_2
| ~ spl4_3
| ~ spl4_8
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_46
| ~ spl4_64 ),
inference(subsumption_resolution,[],[f3702,f2717]) ).
fof(f3702,plain,
( ! [X32] :
( xq != X32
| xq = sdtmndt0(X32,sz00)
| ~ aNaturalNumber0(X32) )
| ~ spl4_2
| ~ spl4_8
| ~ spl4_46 ),
inference(subsumption_resolution,[],[f3701,f227]) ).
fof(f3701,plain,
( ! [X32] :
( xq != X32
| xq = sdtmndt0(X32,sz00)
| ~ aNaturalNumber0(X32)
| ~ aNaturalNumber0(sz00) )
| ~ spl4_2
| ~ spl4_46 ),
inference(subsumption_resolution,[],[f3616,f197]) ).
fof(f3616,plain,
( ! [X32] :
( xq != X32
| xq = sdtmndt0(X32,sz00)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X32)
| ~ aNaturalNumber0(sz00) )
| ~ spl4_46 ),
inference(superposition,[],[f3511,f462]) ).
fof(f4138,plain,
( ! [X0,X1] :
( xp != X1
| sdtpldt0(sz00,X1) = X0
| xp != X0 )
| ~ spl4_1
| ~ spl4_3
| ~ spl4_4
| ~ spl4_8
| spl4_11
| ~ spl4_12
| ~ spl4_15
| ~ spl4_45 ),
inference(global_subsumption,[],[f155,f163,f162,f160,f166,f165,f177,f176,f181,f180,f187,f179,f178,f188,f117,f120,f123,f124,f125,f126,f129,f192,f202,f207,f132,f133,f227,f115,f116,f128,f242,f247,f134,f118,f119,f127,f131,f262,f135,f114,f121,f122,f130,f136,f291,f292,f294,f137,f330,f331,f333,f138,f364,f365,f139,f367,f403,f140,f404,f406,f141,f437,f438,f440,f146,f525,f526,f527,f528,f529,f530,f457,f483,f484,f486,f147,f580,f581,f582,f583,f584,f585,f150,f289,f328,f362,f151,f401,f435,f481,f143,f148,f716,f718,f720,f724,f721,f730,f732,f734,f736,f149,f779,f781,f783,f784,f785,f787,f722,f804,f806,f810,f168,f835,f836,f837,f838,f839,f840,f841,f842,f843,f844,f171,f882,f883,f884,f885,f886,f887,f888,f889,f890,f891,f152,f156,f157,f159,f167,f1298,f153,f1377,f169,f170,f1567,f172,f1613,f1612,f1611,f1610,f1614,f173,f1764,f1772,f158,f182,f184,f1975,f1974,f1973,f1977,f185,f2177,f2246,f186,f2447,f2516,f154,f2623,f1430,f164,f2709,f2713,f174,f2806,f2808,f2810,f2811,f2812,f2814,f2818,f2819,f175,f2893,f2895,f2897,f2898,f2899,f2901,f2905,f2906,f183,f2987,f2988,f144,f1900,f3272,f3273,f145,f3511,f3726,f161,f3958,f3960,f3963,f4026,f4108,f3700,f4137]) ).
fof(f4137,plain,
( ! [X0,X1] :
( xp != X1
| sdtpldt0(sz00,X1) = X0
| ~ sdtlseqdt0(sz00,X0)
| xp != X0 )
| ~ spl4_1
| ~ spl4_3
| ~ spl4_4
| ~ spl4_8
| spl4_11
| ~ spl4_12
| ~ spl4_15
| ~ spl4_45 ),
inference(subsumption_resolution,[],[f4136,f2713]) ).
fof(f4136,plain,
( ! [X0,X1] :
( xp != X1
| sdtpldt0(sz00,X1) = X0
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(X0)
| xp != X0 )
| ~ spl4_1
| ~ spl4_3
| ~ spl4_4
| ~ spl4_8
| spl4_11
| ~ spl4_12
| ~ spl4_15
| ~ spl4_45 ),
inference(subsumption_resolution,[],[f4134,f227]) ).
fof(f4134,plain,
( ! [X0,X1] :
( xp != X1
| sdtpldt0(sz00,X1) = X0
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz00)
| xp != X0 )
| ~ spl4_1
| ~ spl4_3
| ~ spl4_4
| ~ spl4_8
| spl4_11
| ~ spl4_12
| ~ spl4_15
| ~ spl4_45 ),
inference(superposition,[],[f154,f3700]) ).
fof(f3700,plain,
( ! [X31] :
( xp = sdtmndt0(X31,sz00)
| xp != X31 )
| ~ spl4_1
| ~ spl4_3
| ~ spl4_4
| ~ spl4_8
| spl4_11
| ~ spl4_12
| ~ spl4_15
| ~ spl4_45 ),
inference(subsumption_resolution,[],[f3699,f2713]) ).
fof(f3699,plain,
( ! [X31] :
( xp != X31
| xp = sdtmndt0(X31,sz00)
| ~ aNaturalNumber0(X31) )
| ~ spl4_1
| ~ spl4_8
| ~ spl4_45 ),
inference(subsumption_resolution,[],[f3698,f227]) ).
fof(f3698,plain,
( ! [X31] :
( xp != X31
| xp = sdtmndt0(X31,sz00)
| ~ aNaturalNumber0(X31)
| ~ aNaturalNumber0(sz00) )
| ~ spl4_1
| ~ spl4_45 ),
inference(subsumption_resolution,[],[f3615,f192]) ).
fof(f3615,plain,
( ! [X31] :
( xp != X31
| xp = sdtmndt0(X31,sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X31)
| ~ aNaturalNumber0(sz00) )
| ~ spl4_45 ),
inference(superposition,[],[f3511,f457]) ).
fof(f4110,plain,
( ! [X32] :
( sdtlseqdt0(sdtpldt0(sz00,X32),xq)
| ~ sdtlseqdt0(X32,xq)
| xq = X32
| ~ aNaturalNumber0(X32) )
| ~ spl4_2
| ~ spl4_8
| ~ spl4_46 ),
inference(subsumption_resolution,[],[f4109,f197]) ).
fof(f4109,plain,
( ! [X32] :
( sdtlseqdt0(sdtpldt0(sz00,X32),xq)
| ~ sdtlseqdt0(X32,xq)
| xq = X32
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X32) )
| ~ spl4_8
| ~ spl4_46 ),
inference(subsumption_resolution,[],[f3938,f227]) ).
fof(f3938,plain,
( ! [X32] :
( sdtlseqdt0(sdtpldt0(sz00,X32),xq)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(X32,xq)
| xq = X32
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X32) )
| ~ spl4_46 ),
inference(superposition,[],[f161,f462]) ).
fof(f4108,plain,
( ! [X31] :
( sdtlseqdt0(sdtpldt0(sz00,X31),xp)
| ~ sdtlseqdt0(X31,xp)
| xp = X31
| ~ aNaturalNumber0(X31) )
| ~ spl4_1
| ~ spl4_8
| ~ spl4_45 ),
inference(subsumption_resolution,[],[f4107,f192]) ).
fof(f4107,plain,
( ! [X31] :
( sdtlseqdt0(sdtpldt0(sz00,X31),xp)
| ~ sdtlseqdt0(X31,xp)
| xp = X31
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X31) )
| ~ spl4_8
| ~ spl4_45 ),
inference(subsumption_resolution,[],[f3937,f227]) ).
fof(f3937,plain,
( ! [X31] :
( sdtlseqdt0(sdtpldt0(sz00,X31),xp)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(X31,xp)
| xp = X31
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X31) )
| ~ spl4_45 ),
inference(superposition,[],[f161,f457]) ).
fof(f4028,plain,
( ! [X32] :
( sdtlseqdt0(xq,sdtpldt0(sz00,X32))
| ~ sdtlseqdt0(xq,X32)
| xq = X32
| ~ aNaturalNumber0(X32) )
| ~ spl4_2
| ~ spl4_8
| ~ spl4_46 ),
inference(subsumption_resolution,[],[f4027,f197]) ).
fof(f4027,plain,
( ! [X32] :
( sdtlseqdt0(xq,sdtpldt0(sz00,X32))
| ~ sdtlseqdt0(xq,X32)
| xq = X32
| ~ aNaturalNumber0(X32)
| ~ aNaturalNumber0(xq) )
| ~ spl4_8
| ~ spl4_46 ),
inference(subsumption_resolution,[],[f3889,f227]) ).
fof(f3889,plain,
( ! [X32] :
( sdtlseqdt0(xq,sdtpldt0(sz00,X32))
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(xq,X32)
| xq = X32
| ~ aNaturalNumber0(X32)
| ~ aNaturalNumber0(xq) )
| ~ spl4_46 ),
inference(superposition,[],[f161,f462]) ).
fof(f4026,plain,
( ! [X31] :
( sdtlseqdt0(xp,sdtpldt0(sz00,X31))
| ~ sdtlseqdt0(xp,X31)
| xp = X31
| ~ aNaturalNumber0(X31) )
| ~ spl4_1
| ~ spl4_8
| ~ spl4_45 ),
inference(subsumption_resolution,[],[f4025,f192]) ).
fof(f4025,plain,
( ! [X31] :
( sdtlseqdt0(xp,sdtpldt0(sz00,X31))
| ~ sdtlseqdt0(xp,X31)
| xp = X31
| ~ aNaturalNumber0(X31)
| ~ aNaturalNumber0(xp) )
| ~ spl4_8
| ~ spl4_45 ),
inference(subsumption_resolution,[],[f3888,f227]) ).
fof(f3888,plain,
( ! [X31] :
( sdtlseqdt0(xp,sdtpldt0(sz00,X31))
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(xp,X31)
| xp = X31
| ~ aNaturalNumber0(X31)
| ~ aNaturalNumber0(xp) )
| ~ spl4_45 ),
inference(superposition,[],[f161,f457]) ).
fof(f3273,plain,
( ! [X2] :
( ~ doDivides0(X2,xl)
| ~ aNaturalNumber0(X2)
| xm = sdtasdt0(X2,sK2(X2,xm)) )
| ~ spl4_3
| ~ spl4_4
| ~ spl4_12 ),
inference(subsumption_resolution,[],[f3270,f207]) ).
fof(f3270,plain,
( ! [X2] :
( ~ doDivides0(X2,xl)
| ~ aNaturalNumber0(X2)
| xm = sdtasdt0(X2,sK2(X2,xm))
| ~ aNaturalNumber0(xm) )
| ~ spl4_3
| ~ spl4_4
| ~ spl4_12 ),
inference(duplicate_literal_removal,[],[f3269]) ).
fof(f3269,plain,
( ! [X2] :
( ~ doDivides0(X2,xl)
| ~ aNaturalNumber0(X2)
| xm = sdtasdt0(X2,sK2(X2,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X2) )
| ~ spl4_3
| ~ spl4_4
| ~ spl4_12 ),
inference(resolution,[],[f1900,f169]) ).
fof(f3272,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,xl)
| ~ aNaturalNumber0(X0)
| doDivides0(X1,xm)
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1) )
| ~ spl4_3
| ~ spl4_4
| ~ spl4_12 ),
inference(subsumption_resolution,[],[f3271,f207]) ).
fof(f3271,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,xl)
| ~ aNaturalNumber0(X0)
| doDivides0(X1,xm)
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1) )
| ~ spl4_3
| ~ spl4_4
| ~ spl4_12 ),
inference(duplicate_literal_removal,[],[f3268]) ).
fof(f3268,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,xl)
| ~ aNaturalNumber0(X0)
| doDivides0(X1,xm)
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl4_3
| ~ spl4_4
| ~ spl4_12 ),
inference(resolution,[],[f1900,f182]) ).
fof(f1900,plain,
( ! [X0] :
( doDivides0(X0,xm)
| ~ doDivides0(X0,xl)
| ~ aNaturalNumber0(X0) )
| ~ spl4_3
| ~ spl4_4
| ~ spl4_12 ),
inference(subsumption_resolution,[],[f1899,f202]) ).
fof(f1899,plain,
( ! [X0] :
( doDivides0(X0,xm)
| ~ doDivides0(X0,xl)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0) )
| ~ spl4_4
| ~ spl4_12 ),
inference(subsumption_resolution,[],[f1896,f207]) ).
fof(f1896,plain,
( ! [X0] :
( doDivides0(X0,xm)
| ~ doDivides0(X0,xl)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0) )
| ~ spl4_12 ),
inference(resolution,[],[f182,f247]) ).
fof(f2902,plain,
( ! [X22,X23] :
( sdtasdt0(sdtasdt0(X22,X23),xq) = sdtasdt0(X22,sdtasdt0(X23,xq))
| ~ aNaturalNumber0(X23)
| ~ aNaturalNumber0(X22) )
| ~ spl4_2 ),
inference(resolution,[],[f175,f197]) ).
fof(f2901,plain,
( ! [X21,X20] :
( sdtasdt0(sdtasdt0(X20,X21),xp) = sdtasdt0(X20,sdtasdt0(X21,xp))
| ~ aNaturalNumber0(X21)
| ~ aNaturalNumber0(X20) )
| ~ spl4_1 ),
inference(resolution,[],[f175,f192]) ).
fof(f2899,plain,
( ! [X16,X17] :
( sdtasdt0(sdtasdt0(X16,X17),xm) = sdtasdt0(X16,sdtasdt0(X17,xm))
| ~ aNaturalNumber0(X17)
| ~ aNaturalNumber0(X16) )
| ~ spl4_4 ),
inference(resolution,[],[f175,f207]) ).
fof(f2898,plain,
( ! [X14,X15] :
( sdtasdt0(sdtasdt0(X14,X15),xl) = sdtasdt0(X14,sdtasdt0(X15,xl))
| ~ aNaturalNumber0(X15)
| ~ aNaturalNumber0(X14) )
| ~ spl4_3 ),
inference(resolution,[],[f175,f202]) ).
fof(f2896,plain,
( ! [X8,X9] :
( sdtasdt0(sdtasdt0(X8,X9),sdtpldt0(xm,xn)) = sdtasdt0(X8,sdtasdt0(X9,sdtpldt0(xm,xn)))
| ~ aNaturalNumber0(X9)
| ~ aNaturalNumber0(X8) )
| ~ spl4_64 ),
inference(resolution,[],[f175,f611]) ).
fof(f2815,plain,
( ! [X22,X23] :
( sdtpldt0(sdtpldt0(X22,X23),xq) = sdtpldt0(X22,sdtpldt0(X23,xq))
| ~ aNaturalNumber0(X23)
| ~ aNaturalNumber0(X22) )
| ~ spl4_2 ),
inference(resolution,[],[f174,f197]) ).
fof(f2814,plain,
( ! [X21,X20] :
( sdtpldt0(sdtpldt0(X20,X21),xp) = sdtpldt0(X20,sdtpldt0(X21,xp))
| ~ aNaturalNumber0(X21)
| ~ aNaturalNumber0(X20) )
| ~ spl4_1 ),
inference(resolution,[],[f174,f192]) ).
fof(f2812,plain,
( ! [X16,X17] :
( sdtpldt0(sdtpldt0(X16,X17),xm) = sdtpldt0(X16,sdtpldt0(X17,xm))
| ~ aNaturalNumber0(X17)
| ~ aNaturalNumber0(X16) )
| ~ spl4_4 ),
inference(resolution,[],[f174,f207]) ).
fof(f2811,plain,
( ! [X14,X15] :
( sdtpldt0(sdtpldt0(X14,X15),xl) = sdtpldt0(X14,sdtpldt0(X15,xl))
| ~ aNaturalNumber0(X15)
| ~ aNaturalNumber0(X14) )
| ~ spl4_3 ),
inference(resolution,[],[f174,f202]) ).
fof(f2809,plain,
( ! [X8,X9] :
( sdtpldt0(sdtpldt0(X8,X9),sdtpldt0(xm,xn)) = sdtpldt0(X8,sdtpldt0(X9,sdtpldt0(xm,xn)))
| ~ aNaturalNumber0(X9)
| ~ aNaturalNumber0(X8) )
| ~ spl4_64 ),
inference(resolution,[],[f174,f611]) ).
fof(f2717,plain,
( ! [X1] :
( xq != X1
| aNaturalNumber0(X1) )
| ~ spl4_3
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64 ),
inference(subsumption_resolution,[],[f2716,f202]) ).
fof(f2716,plain,
( ! [X1] :
( xq != X1
| aNaturalNumber0(X1)
| ~ aNaturalNumber0(xl) )
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64 ),
inference(subsumption_resolution,[],[f2715,f611]) ).
fof(f2715,plain,
( ! [X1] :
( xq != X1
| aNaturalNumber0(X1)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xl) )
| spl4_11
| ~ spl4_17
| ~ spl4_19 ),
inference(subsumption_resolution,[],[f2714,f242]) ).
fof(f2714,plain,
( ! [X1] :
( xq != X1
| aNaturalNumber0(X1)
| sz00 = xl
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xl) )
| ~ spl4_17
| ~ spl4_19 ),
inference(subsumption_resolution,[],[f2708,f272]) ).
fof(f2708,plain,
( ! [X1] :
( xq != X1
| aNaturalNumber0(X1)
| ~ doDivides0(xl,sdtpldt0(xm,xn))
| sz00 = xl
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xl) )
| ~ spl4_19 ),
inference(superposition,[],[f164,f282]) ).
fof(f2713,plain,
( ! [X0] :
( xp != X0
| aNaturalNumber0(X0) )
| ~ spl4_3
| ~ spl4_4
| spl4_11
| ~ spl4_12
| ~ spl4_15 ),
inference(subsumption_resolution,[],[f2712,f202]) ).
fof(f2712,plain,
( ! [X0] :
( xp != X0
| aNaturalNumber0(X0)
| ~ aNaturalNumber0(xl) )
| ~ spl4_4
| spl4_11
| ~ spl4_12
| ~ spl4_15 ),
inference(subsumption_resolution,[],[f2711,f207]) ).
fof(f2711,plain,
( ! [X0] :
( xp != X0
| aNaturalNumber0(X0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl) )
| spl4_11
| ~ spl4_12
| ~ spl4_15 ),
inference(subsumption_resolution,[],[f2710,f242]) ).
fof(f2710,plain,
( ! [X0] :
( xp != X0
| aNaturalNumber0(X0)
| sz00 = xl
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl) )
| ~ spl4_12
| ~ spl4_15 ),
inference(subsumption_resolution,[],[f2707,f247]) ).
fof(f2707,plain,
( ! [X0] :
( xp != X0
| aNaturalNumber0(X0)
| ~ doDivides0(xl,xm)
| sz00 = xl
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl) )
| ~ spl4_15 ),
inference(superposition,[],[f164,f262]) ).
fof(f1430,plain,
( xm = sdtasdt0(xl,sK2(xl,xm))
| ~ spl4_3
| ~ spl4_4
| ~ spl4_12 ),
inference(subsumption_resolution,[],[f1429,f202]) ).
fof(f1429,plain,
( xm = sdtasdt0(xl,sK2(xl,xm))
| ~ aNaturalNumber0(xl)
| ~ spl4_4
| ~ spl4_12 ),
inference(subsumption_resolution,[],[f1427,f207]) ).
fof(f1427,plain,
( xm = sdtasdt0(xl,sK2(xl,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ spl4_12 ),
inference(resolution,[],[f169,f247]) ).
fof(f2601,plain,
( ! [X3] :
( ~ aNaturalNumber0(X3)
| xq != X3
| xp = X3
| ~ sdtlseqdt0(xp,X3) )
| ~ spl4_1
| ~ spl4_2
| ~ spl4_69 ),
inference(subsumption_resolution,[],[f2596,f192]) ).
fof(f2596,plain,
( ! [X3] :
( ~ aNaturalNumber0(X3)
| xq != X3
| xp = X3
| ~ sdtlseqdt0(xp,X3)
| ~ aNaturalNumber0(xp) )
| ~ spl4_1
| ~ spl4_2
| ~ spl4_69 ),
inference(duplicate_literal_removal,[],[f2595]) ).
fof(f2595,plain,
( ! [X3] :
( ~ aNaturalNumber0(X3)
| xq != X3
| xp = X3
| ~ sdtlseqdt0(xp,X3)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(xp) )
| ~ spl4_1
| ~ spl4_2
| ~ spl4_69 ),
inference(resolution,[],[f2288,f167]) ).
fof(f2600,plain,
( ! [X2] :
( ~ aNaturalNumber0(X2)
| xq != X2
| xp = sdtpldt0(X2,sK3(X2,xp)) )
| ~ spl4_1
| ~ spl4_2
| ~ spl4_69 ),
inference(subsumption_resolution,[],[f2597,f192]) ).
fof(f2597,plain,
( ! [X2] :
( ~ aNaturalNumber0(X2)
| xq != X2
| xp = sdtpldt0(X2,sK3(X2,xp))
| ~ aNaturalNumber0(xp) )
| ~ spl4_1
| ~ spl4_2
| ~ spl4_69 ),
inference(duplicate_literal_removal,[],[f2594]) ).
fof(f2594,plain,
( ! [X2] :
( ~ aNaturalNumber0(X2)
| xq != X2
| xp = sdtpldt0(X2,sK3(X2,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X2) )
| ~ spl4_1
| ~ spl4_2
| ~ spl4_69 ),
inference(resolution,[],[f2288,f172]) ).
fof(f2599,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| xq != X0
| sdtlseqdt0(X1,xp)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X1) )
| ~ spl4_1
| ~ spl4_2
| ~ spl4_69 ),
inference(subsumption_resolution,[],[f2598,f192]) ).
fof(f2598,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| xq != X0
| sdtlseqdt0(X1,xp)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1) )
| ~ spl4_1
| ~ spl4_2
| ~ spl4_69 ),
inference(duplicate_literal_removal,[],[f2593]) ).
fof(f2593,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| xq != X0
| sdtlseqdt0(X1,xp)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl4_1
| ~ spl4_2
| ~ spl4_69 ),
inference(resolution,[],[f2288,f184]) ).
fof(f2288,plain,
( ! [X2] :
( sdtlseqdt0(X2,xp)
| ~ aNaturalNumber0(X2)
| xq != X2 )
| ~ spl4_1
| ~ spl4_2
| ~ spl4_69 ),
inference(subsumption_resolution,[],[f2282,f197]) ).
fof(f2282,plain,
( ! [X2] :
( sdtlseqdt0(X2,xp)
| ~ aNaturalNumber0(X2)
| xq != X2
| ~ aNaturalNumber0(xq) )
| ~ spl4_1
| ~ spl4_2
| ~ spl4_69 ),
inference(duplicate_literal_removal,[],[f2278]) ).
fof(f2278,plain,
( ! [X2] :
( sdtlseqdt0(X2,xp)
| ~ aNaturalNumber0(X2)
| xq != X2
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X2) )
| ~ spl4_1
| ~ spl4_2
| ~ spl4_69 ),
inference(resolution,[],[f2002,f150]) ).
fof(f2592,plain,
( ! [X3] :
( sdtlseqdt0(xq,X3)
| ~ aNaturalNumber0(X3)
| xp = X3
| ~ sdtlseqdt0(xp,X3) )
| ~ spl4_1
| ~ spl4_2
| ~ spl4_69 ),
inference(subsumption_resolution,[],[f2581,f192]) ).
fof(f2581,plain,
( ! [X3] :
( sdtlseqdt0(xq,X3)
| ~ aNaturalNumber0(X3)
| xp = X3
| ~ sdtlseqdt0(xp,X3)
| ~ aNaturalNumber0(xp) )
| ~ spl4_1
| ~ spl4_2
| ~ spl4_69 ),
inference(duplicate_literal_removal,[],[f2580]) ).
fof(f2580,plain,
( ! [X3] :
( sdtlseqdt0(xq,X3)
| ~ aNaturalNumber0(X3)
| xp = X3
| ~ sdtlseqdt0(xp,X3)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(xp) )
| ~ spl4_1
| ~ spl4_2
| ~ spl4_69 ),
inference(resolution,[],[f2286,f167]) ).
fof(f2591,plain,
( ! [X2] :
( sdtlseqdt0(xq,X2)
| ~ aNaturalNumber0(X2)
| xp = sdtpldt0(X2,sK3(X2,xp)) )
| ~ spl4_1
| ~ spl4_2
| ~ spl4_69 ),
inference(subsumption_resolution,[],[f2582,f192]) ).
fof(f2582,plain,
( ! [X2] :
( sdtlseqdt0(xq,X2)
| ~ aNaturalNumber0(X2)
| xp = sdtpldt0(X2,sK3(X2,xp))
| ~ aNaturalNumber0(xp) )
| ~ spl4_1
| ~ spl4_2
| ~ spl4_69 ),
inference(duplicate_literal_removal,[],[f2579]) ).
fof(f2579,plain,
( ! [X2] :
( sdtlseqdt0(xq,X2)
| ~ aNaturalNumber0(X2)
| xp = sdtpldt0(X2,sK3(X2,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X2) )
| ~ spl4_1
| ~ spl4_2
| ~ spl4_69 ),
inference(resolution,[],[f2286,f172]) ).
fof(f2590,plain,
( ! [X0,X1] :
( sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,xp)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X1) )
| ~ spl4_1
| ~ spl4_2
| ~ spl4_69 ),
inference(subsumption_resolution,[],[f2583,f192]) ).
fof(f2583,plain,
( ! [X0,X1] :
( sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,xp)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1) )
| ~ spl4_1
| ~ spl4_2
| ~ spl4_69 ),
inference(duplicate_literal_removal,[],[f2578]) ).
fof(f2578,plain,
( ! [X0,X1] :
( sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,xp)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl4_1
| ~ spl4_2
| ~ spl4_69 ),
inference(resolution,[],[f2286,f184]) ).
fof(f2589,plain,
( ! [X2] :
( sdtlseqdt0(X2,xp)
| ~ aNaturalNumber0(X2)
| sdtpldt0(xq,sK3(xq,X2)) = X2 )
| ~ spl4_1
| ~ spl4_2
| ~ spl4_69 ),
inference(subsumption_resolution,[],[f2586,f197]) ).
fof(f2586,plain,
( ! [X2] :
( sdtlseqdt0(X2,xp)
| ~ aNaturalNumber0(X2)
| sdtpldt0(xq,sK3(xq,X2)) = X2
| ~ aNaturalNumber0(xq) )
| ~ spl4_1
| ~ spl4_2
| ~ spl4_69 ),
inference(duplicate_literal_removal,[],[f2573]) ).
fof(f2573,plain,
( ! [X2] :
( sdtlseqdt0(X2,xp)
| ~ aNaturalNumber0(X2)
| sdtpldt0(xq,sK3(xq,X2)) = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(xq) )
| ~ spl4_1
| ~ spl4_2
| ~ spl4_69 ),
inference(resolution,[],[f2286,f172]) ).
fof(f2588,plain,
( ! [X0,X1] :
( sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X1,xq)
| ~ aNaturalNumber0(X1) )
| ~ spl4_1
| ~ spl4_2
| ~ spl4_69 ),
inference(subsumption_resolution,[],[f2587,f197]) ).
fof(f2587,plain,
( ! [X0,X1] :
( sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X1,xq)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X1) )
| ~ spl4_1
| ~ spl4_2
| ~ spl4_69 ),
inference(duplicate_literal_removal,[],[f2572]) ).
fof(f2572,plain,
( ! [X0,X1] :
( sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X1,xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X1) )
| ~ spl4_1
| ~ spl4_2
| ~ spl4_69 ),
inference(resolution,[],[f2286,f184]) ).
fof(f2286,plain,
( ! [X0] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0) )
| ~ spl4_1
| ~ spl4_2
| ~ spl4_69 ),
inference(subsumption_resolution,[],[f2284,f197]) ).
fof(f2284,plain,
( ! [X0] :
( sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(xq) )
| ~ spl4_1
| ~ spl4_2
| ~ spl4_69 ),
inference(duplicate_literal_removal,[],[f2276]) ).
fof(f2276,plain,
( ! [X0] :
( sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0) )
| ~ spl4_1
| ~ spl4_2
| ~ spl4_69 ),
inference(resolution,[],[f2002,f151]) ).
fof(f2518,plain,
( ! [X31] :
( xq != sdtpldt0(X31,xq)
| sz00 = X31
| ~ aNaturalNumber0(X31) )
| ~ spl4_2
| ~ spl4_8
| ~ spl4_46 ),
inference(subsumption_resolution,[],[f2517,f197]) ).
fof(f2517,plain,
( ! [X31] :
( xq != sdtpldt0(X31,xq)
| sz00 = X31
| ~ aNaturalNumber0(X31)
| ~ aNaturalNumber0(xq) )
| ~ spl4_8
| ~ spl4_46 ),
inference(subsumption_resolution,[],[f2378,f227]) ).
fof(f2378,plain,
( ! [X31] :
( xq != sdtpldt0(X31,xq)
| sz00 = X31
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X31)
| ~ aNaturalNumber0(xq) )
| ~ spl4_46 ),
inference(superposition,[],[f186,f462]) ).
fof(f2516,plain,
( ! [X30] :
( xp != sdtpldt0(X30,xp)
| sz00 = X30
| ~ aNaturalNumber0(X30) )
| ~ spl4_1
| ~ spl4_8
| ~ spl4_45 ),
inference(subsumption_resolution,[],[f2515,f192]) ).
fof(f2515,plain,
( ! [X30] :
( xp != sdtpldt0(X30,xp)
| sz00 = X30
| ~ aNaturalNumber0(X30)
| ~ aNaturalNumber0(xp) )
| ~ spl4_8
| ~ spl4_45 ),
inference(subsumption_resolution,[],[f2377,f227]) ).
fof(f2377,plain,
( ! [X30] :
( xp != sdtpldt0(X30,xp)
| sz00 = X30
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X30)
| ~ aNaturalNumber0(xp) )
| ~ spl4_45 ),
inference(superposition,[],[f186,f457]) ).
fof(f2449,plain,
( ! [X31] :
( xq != sdtpldt0(X31,xq)
| sz00 = X31
| ~ aNaturalNumber0(X31) )
| ~ spl4_2
| ~ spl4_8
| ~ spl4_46 ),
inference(subsumption_resolution,[],[f2448,f197]) ).
fof(f2448,plain,
( ! [X31] :
( xq != sdtpldt0(X31,xq)
| sz00 = X31
| ~ aNaturalNumber0(X31)
| ~ aNaturalNumber0(xq) )
| ~ spl4_8
| ~ spl4_46 ),
inference(subsumption_resolution,[],[f2341,f227]) ).
fof(f2341,plain,
( ! [X31] :
( xq != sdtpldt0(X31,xq)
| sz00 = X31
| ~ aNaturalNumber0(X31)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xq) )
| ~ spl4_46 ),
inference(superposition,[],[f186,f462]) ).
fof(f2447,plain,
( ! [X30] :
( xp != sdtpldt0(X30,xp)
| sz00 = X30
| ~ aNaturalNumber0(X30) )
| ~ spl4_1
| ~ spl4_8
| ~ spl4_45 ),
inference(subsumption_resolution,[],[f2446,f192]) ).
fof(f2446,plain,
( ! [X30] :
( xp != sdtpldt0(X30,xp)
| sz00 = X30
| ~ aNaturalNumber0(X30)
| ~ aNaturalNumber0(xp) )
| ~ spl4_8
| ~ spl4_45 ),
inference(subsumption_resolution,[],[f2340,f227]) ).
fof(f2340,plain,
( ! [X30] :
( xp != sdtpldt0(X30,xp)
| sz00 = X30
| ~ aNaturalNumber0(X30)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp) )
| ~ spl4_45 ),
inference(superposition,[],[f186,f457]) ).
fof(f2287,plain,
( ! [X1] :
( sdtlseqdt0(X1,xp)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(xq,X1) )
| ~ spl4_1
| ~ spl4_2
| ~ spl4_69 ),
inference(subsumption_resolution,[],[f2283,f197]) ).
fof(f2283,plain,
( ! [X1] :
( sdtlseqdt0(X1,xp)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(xq,X1)
| ~ aNaturalNumber0(xq) )
| ~ spl4_1
| ~ spl4_2
| ~ spl4_69 ),
inference(duplicate_literal_removal,[],[f2277]) ).
fof(f2277,plain,
( ! [X1] :
( sdtlseqdt0(X1,xp)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(xq,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(xq) )
| ~ spl4_1
| ~ spl4_2
| ~ spl4_69 ),
inference(resolution,[],[f2002,f151]) ).
fof(f2002,plain,
( ! [X27] :
( ~ sdtlseqdt0(X27,xq)
| sdtlseqdt0(X27,xp)
| ~ aNaturalNumber0(X27) )
| ~ spl4_1
| ~ spl4_2
| ~ spl4_69 ),
inference(subsumption_resolution,[],[f2001,f197]) ).
fof(f2001,plain,
( ! [X27] :
( sdtlseqdt0(X27,xp)
| ~ sdtlseqdt0(X27,xq)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X27) )
| ~ spl4_1
| ~ spl4_69 ),
inference(subsumption_resolution,[],[f1970,f192]) ).
fof(f1970,plain,
( ! [X27] :
( sdtlseqdt0(X27,xp)
| ~ sdtlseqdt0(X27,xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X27) )
| ~ spl4_69 ),
inference(resolution,[],[f184,f667]) ).
fof(f2248,plain,
( ! [X31] :
( xq != sdtpldt0(sz00,X31)
| xq = X31
| ~ aNaturalNumber0(X31) )
| ~ spl4_2
| ~ spl4_8
| ~ spl4_46 ),
inference(subsumption_resolution,[],[f2247,f227]) ).
fof(f2247,plain,
( ! [X31] :
( xq != sdtpldt0(sz00,X31)
| xq = X31
| ~ aNaturalNumber0(X31)
| ~ aNaturalNumber0(sz00) )
| ~ spl4_2
| ~ spl4_46 ),
inference(subsumption_resolution,[],[f2108,f197]) ).
fof(f2108,plain,
( ! [X31] :
( xq != sdtpldt0(sz00,X31)
| xq = X31
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X31)
| ~ aNaturalNumber0(sz00) )
| ~ spl4_46 ),
inference(superposition,[],[f185,f462]) ).
fof(f2246,plain,
( ! [X30] :
( xp != sdtpldt0(sz00,X30)
| xp = X30
| ~ aNaturalNumber0(X30) )
| ~ spl4_1
| ~ spl4_8
| ~ spl4_45 ),
inference(subsumption_resolution,[],[f2245,f227]) ).
fof(f2245,plain,
( ! [X30] :
( xp != sdtpldt0(sz00,X30)
| xp = X30
| ~ aNaturalNumber0(X30)
| ~ aNaturalNumber0(sz00) )
| ~ spl4_1
| ~ spl4_45 ),
inference(subsumption_resolution,[],[f2107,f192]) ).
fof(f2107,plain,
( ! [X30] :
( xp != sdtpldt0(sz00,X30)
| xp = X30
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X30)
| ~ aNaturalNumber0(sz00) )
| ~ spl4_45 ),
inference(superposition,[],[f185,f457]) ).
fof(f2179,plain,
( ! [X31] :
( xq != sdtpldt0(sz00,X31)
| xq = X31
| ~ aNaturalNumber0(X31) )
| ~ spl4_2
| ~ spl4_8
| ~ spl4_46 ),
inference(subsumption_resolution,[],[f2178,f227]) ).
fof(f2178,plain,
( ! [X31] :
( xq != sdtpldt0(sz00,X31)
| xq = X31
| ~ aNaturalNumber0(X31)
| ~ aNaturalNumber0(sz00) )
| ~ spl4_2
| ~ spl4_46 ),
inference(subsumption_resolution,[],[f2071,f197]) ).
fof(f2071,plain,
( ! [X31] :
( xq != sdtpldt0(sz00,X31)
| xq = X31
| ~ aNaturalNumber0(X31)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00) )
| ~ spl4_46 ),
inference(superposition,[],[f185,f462]) ).
fof(f2177,plain,
( ! [X30] :
( xp != sdtpldt0(sz00,X30)
| xp = X30
| ~ aNaturalNumber0(X30) )
| ~ spl4_1
| ~ spl4_8
| ~ spl4_45 ),
inference(subsumption_resolution,[],[f2176,f227]) ).
fof(f2176,plain,
( ! [X30] :
( xp != sdtpldt0(sz00,X30)
| xp = X30
| ~ aNaturalNumber0(X30)
| ~ aNaturalNumber0(sz00) )
| ~ spl4_1
| ~ spl4_45 ),
inference(subsumption_resolution,[],[f2070,f192]) ).
fof(f2070,plain,
( ! [X30] :
( xp != sdtpldt0(sz00,X30)
| xp = X30
| ~ aNaturalNumber0(X30)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00) )
| ~ spl4_45 ),
inference(superposition,[],[f185,f457]) ).
fof(f1766,plain,
( ! [X31] :
( xq != X31
| sdtlseqdt0(sz00,X31)
| ~ aNaturalNumber0(X31) )
| ~ spl4_2
| ~ spl4_8
| ~ spl4_46 ),
inference(subsumption_resolution,[],[f1765,f227]) ).
fof(f1765,plain,
( ! [X31] :
( xq != X31
| sdtlseqdt0(sz00,X31)
| ~ aNaturalNumber0(X31)
| ~ aNaturalNumber0(sz00) )
| ~ spl4_2
| ~ spl4_46 ),
inference(subsumption_resolution,[],[f1714,f197]) ).
fof(f1714,plain,
( ! [X31] :
( xq != X31
| sdtlseqdt0(sz00,X31)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X31)
| ~ aNaturalNumber0(sz00) )
| ~ spl4_46 ),
inference(superposition,[],[f173,f462]) ).
fof(f1764,plain,
( ! [X30] :
( xp != X30
| sdtlseqdt0(sz00,X30)
| ~ aNaturalNumber0(X30) )
| ~ spl4_1
| ~ spl4_8
| ~ spl4_45 ),
inference(subsumption_resolution,[],[f1763,f227]) ).
fof(f1763,plain,
( ! [X30] :
( xp != X30
| sdtlseqdt0(sz00,X30)
| ~ aNaturalNumber0(X30)
| ~ aNaturalNumber0(sz00) )
| ~ spl4_1
| ~ spl4_45 ),
inference(subsumption_resolution,[],[f1713,f192]) ).
fof(f1713,plain,
( ! [X30] :
( xp != X30
| sdtlseqdt0(sz00,X30)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X30)
| ~ aNaturalNumber0(sz00) )
| ~ spl4_45 ),
inference(superposition,[],[f173,f457]) ).
fof(f1631,plain,
( xp = sdtpldt0(xq,sK3(xq,xp))
| ~ spl4_1
| ~ spl4_2
| ~ spl4_69 ),
inference(subsumption_resolution,[],[f1630,f197]) ).
fof(f1630,plain,
( xp = sdtpldt0(xq,sK3(xq,xp))
| ~ aNaturalNumber0(xq)
| ~ spl4_1
| ~ spl4_69 ),
inference(subsumption_resolution,[],[f1606,f192]) ).
fof(f1606,plain,
( xp = sdtpldt0(xq,sK3(xq,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xq)
| ~ spl4_69 ),
inference(resolution,[],[f172,f667]) ).
fof(f891,plain,
( ! [X21,X20] :
( ~ sdtlseqdt0(X20,X21)
| ~ aNaturalNumber0(X21)
| ~ aNaturalNumber0(X20)
| sdtpldt0(sK3(X20,X21),xm) = sdtpldt0(xm,sK3(X20,X21)) )
| ~ spl4_4 ),
inference(resolution,[],[f171,f722]) ).
fof(f890,plain,
( ! [X18,X19] :
( ~ sdtlseqdt0(X18,X19)
| ~ aNaturalNumber0(X19)
| ~ aNaturalNumber0(X18)
| sdtpldt0(sK3(X18,X19),xl) = sdtpldt0(xl,sK3(X18,X19)) )
| ~ spl4_3 ),
inference(resolution,[],[f171,f721]) ).
fof(f844,plain,
( ! [X21,X20] :
( ~ doDivides0(X20,X21)
| ~ aNaturalNumber0(X21)
| ~ aNaturalNumber0(X20)
| sdtpldt0(sK2(X20,X21),xm) = sdtpldt0(xm,sK2(X20,X21)) )
| ~ spl4_4 ),
inference(resolution,[],[f168,f722]) ).
fof(f843,plain,
( ! [X18,X19] :
( ~ doDivides0(X18,X19)
| ~ aNaturalNumber0(X19)
| ~ aNaturalNumber0(X18)
| sdtpldt0(sK2(X18,X19),xl) = sdtpldt0(xl,sK2(X18,X19)) )
| ~ spl4_3 ),
inference(resolution,[],[f168,f721]) ).
fof(f811,plain,
( sdtpldt0(xq,xm) = sdtpldt0(xm,xq)
| ~ spl4_2
| ~ spl4_4 ),
inference(resolution,[],[f722,f197]) ).
fof(f810,plain,
( sdtpldt0(xp,xm) = sdtpldt0(xm,xp)
| ~ spl4_1
| ~ spl4_4 ),
inference(resolution,[],[f722,f192]) ).
fof(f806,plain,
( ! [X2,X3] :
( sdtpldt0(sdtasdt0(X2,X3),xm) = sdtpldt0(xm,sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) )
| ~ spl4_4 ),
inference(resolution,[],[f722,f147]) ).
fof(f805,plain,
( sdtpldt0(sdtpldt0(xm,xn),xm) = sdtpldt0(xm,sdtpldt0(xm,xn))
| ~ spl4_4
| ~ spl4_64 ),
inference(resolution,[],[f722,f611]) ).
fof(f804,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xm) = sdtpldt0(xm,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl4_4 ),
inference(resolution,[],[f722,f146]) ).
fof(f722,plain,
( ! [X10] :
( ~ aNaturalNumber0(X10)
| sdtpldt0(X10,xm) = sdtpldt0(xm,X10) )
| ~ spl4_4 ),
inference(resolution,[],[f148,f207]) ).
fof(f782,plain,
( ! [X5] :
( sdtasdt0(X5,sdtpldt0(xm,xn)) = sdtasdt0(sdtpldt0(xm,xn),X5)
| ~ aNaturalNumber0(X5) )
| ~ spl4_64 ),
inference(resolution,[],[f149,f611]) ).
fof(f737,plain,
( sdtpldt0(xq,xl) = sdtpldt0(xl,xq)
| ~ spl4_2
| ~ spl4_3 ),
inference(resolution,[],[f721,f197]) ).
fof(f736,plain,
( sdtpldt0(xp,xl) = sdtpldt0(xl,xp)
| ~ spl4_1
| ~ spl4_3 ),
inference(resolution,[],[f721,f192]) ).
fof(f734,plain,
( sdtpldt0(xm,xl) = sdtpldt0(xl,xm)
| ~ spl4_3
| ~ spl4_4 ),
inference(resolution,[],[f721,f207]) ).
fof(f732,plain,
( ! [X2,X3] :
( sdtpldt0(sdtasdt0(X2,X3),xl) = sdtpldt0(xl,sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) )
| ~ spl4_3 ),
inference(resolution,[],[f721,f147]) ).
fof(f731,plain,
( sdtpldt0(sdtpldt0(xm,xn),xl) = sdtpldt0(xl,sdtpldt0(xm,xn))
| ~ spl4_3
| ~ spl4_64 ),
inference(resolution,[],[f721,f611]) ).
fof(f730,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xl) = sdtpldt0(xl,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl4_3 ),
inference(resolution,[],[f721,f146]) ).
fof(f721,plain,
( ! [X9] :
( ~ aNaturalNumber0(X9)
| sdtpldt0(X9,xl) = sdtpldt0(xl,X9) )
| ~ spl4_3 ),
inference(resolution,[],[f148,f202]) ).
fof(f719,plain,
( ! [X5] :
( sdtpldt0(X5,sdtpldt0(xm,xn)) = sdtpldt0(sdtpldt0(xm,xn),X5)
| ~ aNaturalNumber0(X5) )
| ~ spl4_64 ),
inference(resolution,[],[f148,f611]) ).
fof(f614,plain,
( sdtpldt0(xm,xn) = sdtasdt0(sz10,sdtpldt0(xm,xn))
| ~ spl4_64 ),
inference(resolution,[],[f611,f141]) ).
fof(f619,plain,
( sz00 = sdtasdt0(sdtpldt0(xm,xn),sz00)
| ~ spl4_64 ),
inference(resolution,[],[f611,f136]) ).
fof(f618,plain,
( sz00 = sdtasdt0(sz00,sdtpldt0(xm,xn))
| ~ spl4_64 ),
inference(resolution,[],[f611,f137]) ).
fof(f617,plain,
( sdtpldt0(xm,xn) = sdtpldt0(sdtpldt0(xm,xn),sz00)
| ~ spl4_64 ),
inference(resolution,[],[f611,f138]) ).
fof(f616,plain,
( sdtpldt0(xm,xn) = sdtpldt0(sz00,sdtpldt0(xm,xn))
| ~ spl4_64 ),
inference(resolution,[],[f611,f139]) ).
fof(f615,plain,
( sdtpldt0(xm,xn) = sdtasdt0(sdtpldt0(xm,xn),sz10)
| ~ spl4_64 ),
inference(resolution,[],[f611,f140]) ).
fof(f487,plain,
( xq = sdtasdt0(sz10,xq)
| ~ spl4_2 ),
inference(resolution,[],[f141,f197]) ).
fof(f486,plain,
( xp = sdtasdt0(sz10,xp)
| ~ spl4_1 ),
inference(resolution,[],[f141,f192]) ).
fof(f484,plain,
( xm = sdtasdt0(sz10,xm)
| ~ spl4_4 ),
inference(resolution,[],[f141,f207]) ).
fof(f483,plain,
( xl = sdtasdt0(sz10,xl)
| ~ spl4_3 ),
inference(resolution,[],[f141,f202]) ).
fof(f462,plain,
( xq = sdtpldt0(sz00,xq)
| ~ spl4_46 ),
inference(avatar_component_clause,[],[f460]) ).
fof(f457,plain,
( xp = sdtpldt0(sz00,xp)
| ~ spl4_45 ),
inference(avatar_component_clause,[],[f455]) ).
fof(f441,plain,
( xq = sdtasdt0(xq,sz10)
| ~ spl4_2 ),
inference(resolution,[],[f140,f197]) ).
fof(f440,plain,
( xp = sdtasdt0(xp,sz10)
| ~ spl4_1 ),
inference(resolution,[],[f140,f192]) ).
fof(f438,plain,
( xm = sdtasdt0(xm,sz10)
| ~ spl4_4 ),
inference(resolution,[],[f140,f207]) ).
fof(f437,plain,
( xl = sdtasdt0(xl,sz10)
| ~ spl4_3 ),
inference(resolution,[],[f140,f202]) ).
fof(f407,plain,
( xq = sdtpldt0(sz00,xq)
| ~ spl4_2 ),
inference(resolution,[],[f139,f197]) ).
fof(f406,plain,
( xp = sdtpldt0(sz00,xp)
| ~ spl4_1 ),
inference(resolution,[],[f139,f192]) ).
fof(f404,plain,
( xm = sdtpldt0(sz00,xm)
| ~ spl4_4 ),
inference(resolution,[],[f139,f207]) ).
fof(f403,plain,
( xl = sdtpldt0(sz00,xl)
| ~ spl4_3 ),
inference(resolution,[],[f139,f202]) ).
fof(f368,plain,
( xq = sdtpldt0(xq,sz00)
| ~ spl4_2 ),
inference(resolution,[],[f138,f197]) ).
fof(f367,plain,
( xp = sdtpldt0(xp,sz00)
| ~ spl4_1 ),
inference(resolution,[],[f138,f192]) ).
fof(f365,plain,
( xm = sdtpldt0(xm,sz00)
| ~ spl4_4 ),
inference(resolution,[],[f138,f207]) ).
fof(f364,plain,
( xl = sdtpldt0(xl,sz00)
| ~ spl4_3 ),
inference(resolution,[],[f138,f202]) ).
fof(f334,plain,
( sz00 = sdtasdt0(sz00,xq)
| ~ spl4_2 ),
inference(resolution,[],[f137,f197]) ).
fof(f333,plain,
( sz00 = sdtasdt0(sz00,xp)
| ~ spl4_1 ),
inference(resolution,[],[f137,f192]) ).
fof(f331,plain,
( sz00 = sdtasdt0(sz00,xm)
| ~ spl4_4 ),
inference(resolution,[],[f137,f207]) ).
fof(f330,plain,
( sz00 = sdtasdt0(sz00,xl)
| ~ spl4_3 ),
inference(resolution,[],[f137,f202]) ).
fof(f295,plain,
( sz00 = sdtasdt0(xq,sz00)
| ~ spl4_2 ),
inference(resolution,[],[f136,f197]) ).
fof(f294,plain,
( sz00 = sdtasdt0(xp,sz00)
| ~ spl4_1 ),
inference(resolution,[],[f136,f192]) ).
fof(f292,plain,
( sz00 = sdtasdt0(xm,sz00)
| ~ spl4_4 ),
inference(resolution,[],[f136,f207]) ).
fof(f291,plain,
( sz00 = sdtasdt0(xl,sz00)
| ~ spl4_3 ),
inference(resolution,[],[f136,f202]) ).
fof(f282,plain,
( xq = sdtsldt0(sdtpldt0(xm,xn),xl)
| ~ spl4_19 ),
inference(avatar_component_clause,[],[f280]) ).
fof(f272,plain,
( doDivides0(xl,sdtpldt0(xm,xn))
| ~ spl4_17 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f262,plain,
( xp = sdtsldt0(xm,xl)
| ~ spl4_15 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f247,plain,
( doDivides0(xl,xm)
| ~ spl4_12 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f11523,plain,
( ! [X0] :
( sdtlseqdt0(xm,sdtpldt0(xm,xn))
| ~ sdtlseqdt0(xp,X0)
| xq != X0 )
| ~ spl4_1
| ~ spl4_2
| ~ spl4_3
| ~ spl4_4
| ~ spl4_8
| spl4_11
| ~ spl4_12
| ~ spl4_14
| ~ spl4_15
| ~ spl4_17
| ~ spl4_19
| ~ spl4_45
| ~ spl4_46
| spl4_49
| ~ spl4_64 ),
inference(subsumption_resolution,[],[f11522,f4143]) ).
fof(f11522,plain,
( ! [X0] :
( sdtlseqdt0(xm,sdtpldt0(xm,xn))
| ~ sdtlseqdt0(xp,X0)
| xp = X0
| xq != X0 )
| ~ spl4_1
| ~ spl4_3
| spl4_11
| ~ spl4_14
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64 ),
inference(subsumption_resolution,[],[f11503,f2717]) ).
fof(f11503,plain,
( ! [X0] :
( sdtlseqdt0(xm,sdtpldt0(xm,xn))
| ~ sdtlseqdt0(xp,X0)
| xp = X0
| ~ aNaturalNumber0(X0)
| xq != X0 )
| ~ spl4_1
| ~ spl4_3
| spl4_11
| ~ spl4_14
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64 ),
inference(superposition,[],[f5161,f4698]) ).
fof(f5161,plain,
( ! [X24] :
( sdtlseqdt0(xm,sdtasdt0(xl,X24))
| ~ sdtlseqdt0(xp,X24)
| xp = X24
| ~ aNaturalNumber0(X24) )
| ~ spl4_1
| ~ spl4_3
| spl4_11
| ~ spl4_14 ),
inference(subsumption_resolution,[],[f5160,f202]) ).
fof(f5160,plain,
( ! [X24] :
( sdtlseqdt0(xm,sdtasdt0(xl,X24))
| ~ sdtlseqdt0(xp,X24)
| xp = X24
| ~ aNaturalNumber0(X24)
| ~ aNaturalNumber0(xl) )
| ~ spl4_1
| spl4_11
| ~ spl4_14 ),
inference(subsumption_resolution,[],[f5159,f192]) ).
fof(f5159,plain,
( ! [X24] :
( sdtlseqdt0(xm,sdtasdt0(xl,X24))
| ~ sdtlseqdt0(xp,X24)
| xp = X24
| ~ aNaturalNumber0(X24)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl) )
| spl4_11
| ~ spl4_14 ),
inference(subsumption_resolution,[],[f5050,f242]) ).
fof(f5050,plain,
( ! [X24] :
( sdtlseqdt0(xm,sdtasdt0(xl,X24))
| ~ sdtlseqdt0(xp,X24)
| xp = X24
| sz00 = xl
| ~ aNaturalNumber0(X24)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl) )
| ~ spl4_14 ),
inference(superposition,[],[f179,f257]) ).
fof(f11612,plain,
( ~ spl4_423
| ~ spl4_1
| ~ spl4_2
| ~ spl4_3
| ~ spl4_4
| ~ spl4_8
| spl4_11
| ~ spl4_12
| ~ spl4_14
| ~ spl4_15
| ~ spl4_17
| ~ spl4_19
| ~ spl4_45
| ~ spl4_46
| spl4_49
| ~ spl4_64
| ~ spl4_69
| ~ spl4_346 ),
inference(avatar_split_clause,[],[f11560,f9156,f665,f609,f477,f460,f455,f280,f270,f260,f255,f245,f240,f225,f205,f200,f195,f190,f11609]) ).
fof(f11609,plain,
( spl4_423
<=> xq = sdtasdt0(xn,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_423])]) ).
fof(f9156,plain,
( spl4_346
<=> sdtlseqdt0(xp,sdtasdt0(xn,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_346])]) ).
fof(f11560,plain,
( xq != sdtasdt0(xn,xp)
| ~ spl4_1
| ~ spl4_2
| ~ spl4_3
| ~ spl4_4
| ~ spl4_8
| spl4_11
| ~ spl4_12
| ~ spl4_14
| ~ spl4_15
| ~ spl4_17
| ~ spl4_19
| ~ spl4_45
| ~ spl4_46
| spl4_49
| ~ spl4_64
| ~ spl4_69
| ~ spl4_346 ),
inference(resolution,[],[f11524,f9158]) ).
fof(f9158,plain,
( sdtlseqdt0(xp,sdtasdt0(xn,xp))
| ~ spl4_346 ),
inference(avatar_component_clause,[],[f9156]) ).
fof(f11607,plain,
( ~ spl4_422
| ~ spl4_1
| ~ spl4_2
| ~ spl4_3
| ~ spl4_4
| ~ spl4_8
| spl4_11
| ~ spl4_12
| ~ spl4_14
| ~ spl4_15
| ~ spl4_17
| ~ spl4_19
| ~ spl4_45
| ~ spl4_46
| spl4_49
| ~ spl4_64
| ~ spl4_69
| ~ spl4_338 ),
inference(avatar_split_clause,[],[f11559,f8862,f665,f609,f477,f460,f455,f280,f270,f260,f255,f245,f240,f225,f205,f200,f195,f190,f11604]) ).
fof(f11604,plain,
( spl4_422
<=> xq = sdtasdt0(xm,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_422])]) ).
fof(f8862,plain,
( spl4_338
<=> sdtlseqdt0(xp,sdtasdt0(xm,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_338])]) ).
fof(f11559,plain,
( xq != sdtasdt0(xm,xp)
| ~ spl4_1
| ~ spl4_2
| ~ spl4_3
| ~ spl4_4
| ~ spl4_8
| spl4_11
| ~ spl4_12
| ~ spl4_14
| ~ spl4_15
| ~ spl4_17
| ~ spl4_19
| ~ spl4_45
| ~ spl4_46
| spl4_49
| ~ spl4_64
| ~ spl4_69
| ~ spl4_338 ),
inference(resolution,[],[f11524,f8864]) ).
fof(f8864,plain,
( sdtlseqdt0(xp,sdtasdt0(xm,xp))
| ~ spl4_338 ),
inference(avatar_component_clause,[],[f8862]) ).
fof(f11602,plain,
( ~ spl4_421
| ~ spl4_1
| ~ spl4_2
| ~ spl4_3
| ~ spl4_4
| ~ spl4_8
| spl4_11
| ~ spl4_12
| ~ spl4_14
| ~ spl4_15
| ~ spl4_17
| ~ spl4_19
| ~ spl4_45
| ~ spl4_46
| spl4_49
| ~ spl4_64
| ~ spl4_69
| ~ spl4_331 ),
inference(avatar_split_clause,[],[f11557,f8654,f665,f609,f477,f460,f455,f280,f270,f260,f255,f245,f240,f225,f205,f200,f195,f190,f11599]) ).
fof(f8654,plain,
( spl4_331
<=> sdtlseqdt0(xp,sdtpldt0(xp,xq)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_331])]) ).
fof(f11557,plain,
( xq != sdtpldt0(xp,xq)
| ~ spl4_1
| ~ spl4_2
| ~ spl4_3
| ~ spl4_4
| ~ spl4_8
| spl4_11
| ~ spl4_12
| ~ spl4_14
| ~ spl4_15
| ~ spl4_17
| ~ spl4_19
| ~ spl4_45
| ~ spl4_46
| spl4_49
| ~ spl4_64
| ~ spl4_69
| ~ spl4_331 ),
inference(resolution,[],[f11524,f8656]) ).
fof(f8656,plain,
( sdtlseqdt0(xp,sdtpldt0(xp,xq))
| ~ spl4_331 ),
inference(avatar_component_clause,[],[f8654]) ).
fof(f11597,plain,
( ~ spl4_420
| ~ spl4_1
| ~ spl4_2
| ~ spl4_3
| ~ spl4_4
| ~ spl4_8
| spl4_11
| ~ spl4_12
| ~ spl4_14
| ~ spl4_15
| ~ spl4_17
| ~ spl4_19
| ~ spl4_45
| ~ spl4_46
| spl4_49
| ~ spl4_64
| ~ spl4_69
| ~ spl4_333 ),
inference(avatar_split_clause,[],[f11556,f8664,f665,f609,f477,f460,f455,f280,f270,f260,f255,f245,f240,f225,f205,f200,f195,f190,f11594]) ).
fof(f11594,plain,
( spl4_420
<=> xq = sdtpldt0(xp,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_420])]) ).
fof(f8664,plain,
( spl4_333
<=> sdtlseqdt0(xp,sdtpldt0(xp,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_333])]) ).
fof(f11556,plain,
( xq != sdtpldt0(xp,xp)
| ~ spl4_1
| ~ spl4_2
| ~ spl4_3
| ~ spl4_4
| ~ spl4_8
| spl4_11
| ~ spl4_12
| ~ spl4_14
| ~ spl4_15
| ~ spl4_17
| ~ spl4_19
| ~ spl4_45
| ~ spl4_46
| spl4_49
| ~ spl4_64
| ~ spl4_69
| ~ spl4_333 ),
inference(resolution,[],[f11524,f8666]) ).
fof(f8666,plain,
( sdtlseqdt0(xp,sdtpldt0(xp,xp))
| ~ spl4_333 ),
inference(avatar_component_clause,[],[f8664]) ).
fof(f11538,plain,
( spl4_419
| ~ spl4_4
| ~ spl4_5
| ~ spl4_8
| ~ spl4_9
| ~ spl4_23
| ~ spl4_71
| spl4_106
| ~ spl4_114
| spl4_115
| ~ spl4_123
| ~ spl4_238 ),
inference(avatar_split_clause,[],[f11493,f6819,f1774,f1313,f1276,f1148,f677,f309,f230,f225,f210,f205,f11535]) ).
fof(f11535,plain,
( spl4_419
<=> sdtlseqdt0(sz00,sdtasdt0(xm,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_419])]) ).
fof(f309,plain,
( spl4_23
<=> sz00 = sdtasdt0(xn,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_23])]) ).
fof(f6819,plain,
( spl4_238
<=> sdtasdt0(xn,xm) = sdtasdt0(xm,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_238])]) ).
fof(f11493,plain,
( sdtlseqdt0(sz00,sdtasdt0(xm,xn))
| ~ spl4_4
| ~ spl4_5
| ~ spl4_8
| ~ spl4_9
| ~ spl4_23
| ~ spl4_71
| spl4_106
| ~ spl4_114
| spl4_115
| ~ spl4_123
| ~ spl4_238 ),
inference(subsumption_resolution,[],[f11492,f207]) ).
fof(f11492,plain,
( sdtlseqdt0(sz00,sdtasdt0(xm,xn))
| ~ aNaturalNumber0(xm)
| ~ spl4_5
| ~ spl4_8
| ~ spl4_9
| ~ spl4_23
| ~ spl4_71
| spl4_106
| ~ spl4_114
| spl4_115
| ~ spl4_123
| ~ spl4_238 ),
inference(subsumption_resolution,[],[f11485,f1149]) ).
fof(f11485,plain,
( sdtlseqdt0(sz00,sdtasdt0(xm,xn))
| sz00 = xm
| ~ aNaturalNumber0(xm)
| ~ spl4_5
| ~ spl4_8
| ~ spl4_9
| ~ spl4_23
| ~ spl4_71
| ~ spl4_114
| spl4_115
| ~ spl4_123
| ~ spl4_238 ),
inference(superposition,[],[f5185,f6821]) ).
fof(f6821,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xm,xn)
| ~ spl4_238 ),
inference(avatar_component_clause,[],[f6819]) ).
fof(f5185,plain,
( ! [X32] :
( sdtlseqdt0(sz00,sdtasdt0(xn,X32))
| sz00 = X32
| ~ aNaturalNumber0(X32) )
| ~ spl4_5
| ~ spl4_8
| ~ spl4_9
| ~ spl4_23
| ~ spl4_71
| ~ spl4_114
| spl4_115
| ~ spl4_123 ),
inference(subsumption_resolution,[],[f5184,f4510]) ).
fof(f5184,plain,
( ! [X32] :
( sdtlseqdt0(sz00,sdtasdt0(xn,X32))
| ~ sdtlseqdt0(sz00,X32)
| sz00 = X32
| ~ aNaturalNumber0(X32) )
| ~ spl4_5
| ~ spl4_8
| ~ spl4_23
| spl4_115 ),
inference(subsumption_resolution,[],[f5183,f212]) ).
fof(f5183,plain,
( ! [X32] :
( sdtlseqdt0(sz00,sdtasdt0(xn,X32))
| ~ sdtlseqdt0(sz00,X32)
| sz00 = X32
| ~ aNaturalNumber0(X32)
| ~ aNaturalNumber0(xn) )
| ~ spl4_8
| ~ spl4_23
| spl4_115 ),
inference(subsumption_resolution,[],[f5182,f227]) ).
fof(f5182,plain,
( ! [X32] :
( sdtlseqdt0(sz00,sdtasdt0(xn,X32))
| ~ sdtlseqdt0(sz00,X32)
| sz00 = X32
| ~ aNaturalNumber0(X32)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) )
| ~ spl4_23
| spl4_115 ),
inference(subsumption_resolution,[],[f5058,f1314]) ).
fof(f5058,plain,
( ! [X32] :
( sdtlseqdt0(sz00,sdtasdt0(xn,X32))
| ~ sdtlseqdt0(sz00,X32)
| sz00 = X32
| sz00 = xn
| ~ aNaturalNumber0(X32)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) )
| ~ spl4_23 ),
inference(superposition,[],[f179,f311]) ).
fof(f311,plain,
( sz00 = sdtasdt0(xn,sz00)
| ~ spl4_23 ),
inference(avatar_component_clause,[],[f309]) ).
fof(f11498,plain,
( spl4_418
| ~ spl4_3
| ~ spl4_5
| ~ spl4_8
| ~ spl4_9
| spl4_11
| ~ spl4_23
| ~ spl4_71
| ~ spl4_114
| spl4_115
| ~ spl4_123
| ~ spl4_235 ),
inference(avatar_split_clause,[],[f11491,f6803,f1774,f1313,f1276,f677,f309,f240,f230,f225,f210,f200,f11495]) ).
fof(f11495,plain,
( spl4_418
<=> sdtlseqdt0(sz00,sdtasdt0(xl,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_418])]) ).
fof(f6803,plain,
( spl4_235
<=> sdtasdt0(xn,xl) = sdtasdt0(xl,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_235])]) ).
fof(f11491,plain,
( sdtlseqdt0(sz00,sdtasdt0(xl,xn))
| ~ spl4_3
| ~ spl4_5
| ~ spl4_8
| ~ spl4_9
| spl4_11
| ~ spl4_23
| ~ spl4_71
| ~ spl4_114
| spl4_115
| ~ spl4_123
| ~ spl4_235 ),
inference(subsumption_resolution,[],[f11490,f202]) ).
fof(f11490,plain,
( sdtlseqdt0(sz00,sdtasdt0(xl,xn))
| ~ aNaturalNumber0(xl)
| ~ spl4_5
| ~ spl4_8
| ~ spl4_9
| spl4_11
| ~ spl4_23
| ~ spl4_71
| ~ spl4_114
| spl4_115
| ~ spl4_123
| ~ spl4_235 ),
inference(subsumption_resolution,[],[f11484,f242]) ).
fof(f11484,plain,
( sdtlseqdt0(sz00,sdtasdt0(xl,xn))
| sz00 = xl
| ~ aNaturalNumber0(xl)
| ~ spl4_5
| ~ spl4_8
| ~ spl4_9
| ~ spl4_23
| ~ spl4_71
| ~ spl4_114
| spl4_115
| ~ spl4_123
| ~ spl4_235 ),
inference(superposition,[],[f5185,f6805]) ).
fof(f6805,plain,
( sdtasdt0(xn,xl) = sdtasdt0(xl,xn)
| ~ spl4_235 ),
inference(avatar_component_clause,[],[f6803]) ).
fof(f11471,plain,
( spl4_417
| ~ spl4_3
| ~ spl4_4
| ~ spl4_8
| ~ spl4_9
| spl4_11
| ~ spl4_22
| ~ spl4_71
| spl4_106
| ~ spl4_114
| ~ spl4_123
| ~ spl4_234 ),
inference(avatar_split_clause,[],[f11466,f6798,f1774,f1276,f1148,f677,f304,f240,f230,f225,f205,f200,f11468]) ).
fof(f11468,plain,
( spl4_417
<=> sdtlseqdt0(sz00,sdtasdt0(xl,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_417])]) ).
fof(f304,plain,
( spl4_22
<=> sz00 = sdtasdt0(xm,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_22])]) ).
fof(f6798,plain,
( spl4_234
<=> sdtasdt0(xm,xl) = sdtasdt0(xl,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_234])]) ).
fof(f11466,plain,
( sdtlseqdt0(sz00,sdtasdt0(xl,xm))
| ~ spl4_3
| ~ spl4_4
| ~ spl4_8
| ~ spl4_9
| spl4_11
| ~ spl4_22
| ~ spl4_71
| spl4_106
| ~ spl4_114
| ~ spl4_123
| ~ spl4_234 ),
inference(subsumption_resolution,[],[f11465,f202]) ).
fof(f11465,plain,
( sdtlseqdt0(sz00,sdtasdt0(xl,xm))
| ~ aNaturalNumber0(xl)
| ~ spl4_4
| ~ spl4_8
| ~ spl4_9
| spl4_11
| ~ spl4_22
| ~ spl4_71
| spl4_106
| ~ spl4_114
| ~ spl4_123
| ~ spl4_234 ),
inference(subsumption_resolution,[],[f11460,f242]) ).
fof(f11460,plain,
( sdtlseqdt0(sz00,sdtasdt0(xl,xm))
| sz00 = xl
| ~ aNaturalNumber0(xl)
| ~ spl4_4
| ~ spl4_8
| ~ spl4_9
| ~ spl4_22
| ~ spl4_71
| spl4_106
| ~ spl4_114
| ~ spl4_123
| ~ spl4_234 ),
inference(superposition,[],[f5178,f6800]) ).
fof(f6800,plain,
( sdtasdt0(xm,xl) = sdtasdt0(xl,xm)
| ~ spl4_234 ),
inference(avatar_component_clause,[],[f6798]) ).
fof(f5178,plain,
( ! [X30] :
( sdtlseqdt0(sz00,sdtasdt0(xm,X30))
| sz00 = X30
| ~ aNaturalNumber0(X30) )
| ~ spl4_4
| ~ spl4_8
| ~ spl4_9
| ~ spl4_22
| ~ spl4_71
| spl4_106
| ~ spl4_114
| ~ spl4_123 ),
inference(subsumption_resolution,[],[f5177,f4510]) ).
fof(f5177,plain,
( ! [X30] :
( sdtlseqdt0(sz00,sdtasdt0(xm,X30))
| ~ sdtlseqdt0(sz00,X30)
| sz00 = X30
| ~ aNaturalNumber0(X30) )
| ~ spl4_4
| ~ spl4_8
| ~ spl4_22
| spl4_106 ),
inference(subsumption_resolution,[],[f5176,f207]) ).
fof(f5176,plain,
( ! [X30] :
( sdtlseqdt0(sz00,sdtasdt0(xm,X30))
| ~ sdtlseqdt0(sz00,X30)
| sz00 = X30
| ~ aNaturalNumber0(X30)
| ~ aNaturalNumber0(xm) )
| ~ spl4_8
| ~ spl4_22
| spl4_106 ),
inference(subsumption_resolution,[],[f5175,f227]) ).
fof(f5175,plain,
( ! [X30] :
( sdtlseqdt0(sz00,sdtasdt0(xm,X30))
| ~ sdtlseqdt0(sz00,X30)
| sz00 = X30
| ~ aNaturalNumber0(X30)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) )
| ~ spl4_22
| spl4_106 ),
inference(subsumption_resolution,[],[f5056,f1149]) ).
fof(f5056,plain,
( ! [X30] :
( sdtlseqdt0(sz00,sdtasdt0(xm,X30))
| ~ sdtlseqdt0(sz00,X30)
| sz00 = X30
| sz00 = xm
| ~ aNaturalNumber0(X30)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) )
| ~ spl4_22 ),
inference(superposition,[],[f179,f306]) ).
fof(f306,plain,
( sz00 = sdtasdt0(xm,sz00)
| ~ spl4_22 ),
inference(avatar_component_clause,[],[f304]) ).
fof(f11389,plain,
( spl4_416
| ~ spl4_3
| ~ spl4_5
| ~ spl4_262 ),
inference(avatar_split_clause,[],[f7279,f7263,f210,f200,f11386]) ).
fof(f11386,plain,
( spl4_416
<=> xn = sdtpldt0(xl,sK3(xl,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_416])]) ).
fof(f7263,plain,
( spl4_262
<=> sdtlseqdt0(xl,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_262])]) ).
fof(f7279,plain,
( xn = sdtpldt0(xl,sK3(xl,xn))
| ~ spl4_3
| ~ spl4_5
| ~ spl4_262 ),
inference(subsumption_resolution,[],[f7278,f202]) ).
fof(f7278,plain,
( xn = sdtpldt0(xl,sK3(xl,xn))
| ~ aNaturalNumber0(xl)
| ~ spl4_5
| ~ spl4_262 ),
inference(subsumption_resolution,[],[f7274,f212]) ).
fof(f7274,plain,
( xn = sdtpldt0(xl,sK3(xl,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl)
| ~ spl4_262 ),
inference(resolution,[],[f7265,f172]) ).
fof(f7265,plain,
( sdtlseqdt0(xl,xn)
| ~ spl4_262 ),
inference(avatar_component_clause,[],[f7263]) ).
fof(f11357,plain,
( spl4_415
| ~ spl4_4
| ~ spl4_5
| ~ spl4_260 ),
inference(avatar_split_clause,[],[f7261,f7234,f210,f205,f11354]) ).
fof(f11354,plain,
( spl4_415
<=> xn = sdtpldt0(xm,sK3(xm,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_415])]) ).
fof(f7234,plain,
( spl4_260
<=> sdtlseqdt0(xm,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_260])]) ).
fof(f7261,plain,
( xn = sdtpldt0(xm,sK3(xm,xn))
| ~ spl4_4
| ~ spl4_5
| ~ spl4_260 ),
inference(subsumption_resolution,[],[f7260,f207]) ).
fof(f7260,plain,
( xn = sdtpldt0(xm,sK3(xm,xn))
| ~ aNaturalNumber0(xm)
| ~ spl4_5
| ~ spl4_260 ),
inference(subsumption_resolution,[],[f7256,f212]) ).
fof(f7256,plain,
( xn = sdtpldt0(xm,sK3(xm,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ spl4_260 ),
inference(resolution,[],[f7236,f172]) ).
fof(f7236,plain,
( sdtlseqdt0(xm,xn)
| ~ spl4_260 ),
inference(avatar_component_clause,[],[f7234]) ).
fof(f11292,plain,
( spl4_414
| ~ spl4_1
| ~ spl4_4
| ~ spl4_291 ),
inference(avatar_split_clause,[],[f8212,f8198,f205,f190,f11289]) ).
fof(f11289,plain,
( spl4_414
<=> xm = sdtasdt0(xp,sK2(xp,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_414])]) ).
fof(f8198,plain,
( spl4_291
<=> doDivides0(xp,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_291])]) ).
fof(f8212,plain,
( xm = sdtasdt0(xp,sK2(xp,xm))
| ~ spl4_1
| ~ spl4_4
| ~ spl4_291 ),
inference(subsumption_resolution,[],[f8211,f192]) ).
fof(f8211,plain,
( xm = sdtasdt0(xp,sK2(xp,xm))
| ~ aNaturalNumber0(xp)
| ~ spl4_4
| ~ spl4_291 ),
inference(subsumption_resolution,[],[f8208,f207]) ).
fof(f8208,plain,
( xm = sdtasdt0(xp,sK2(xp,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xp)
| ~ spl4_291 ),
inference(resolution,[],[f8200,f169]) ).
fof(f8200,plain,
( doDivides0(xp,xm)
| ~ spl4_291 ),
inference(avatar_component_clause,[],[f8198]) ).
fof(f11286,plain,
( spl4_413
| ~ spl4_1
| ~ spl4_4
| ~ spl4_222 ),
inference(avatar_split_clause,[],[f6161,f6151,f205,f190,f11283]) ).
fof(f11283,plain,
( spl4_413
<=> xm = sdtpldt0(xp,sK3(xp,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_413])]) ).
fof(f6151,plain,
( spl4_222
<=> sdtlseqdt0(xp,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_222])]) ).
fof(f6161,plain,
( xm = sdtpldt0(xp,sK3(xp,xm))
| ~ spl4_1
| ~ spl4_4
| ~ spl4_222 ),
inference(subsumption_resolution,[],[f6160,f192]) ).
fof(f6160,plain,
( xm = sdtpldt0(xp,sK3(xp,xm))
| ~ aNaturalNumber0(xp)
| ~ spl4_4
| ~ spl4_222 ),
inference(subsumption_resolution,[],[f6156,f207]) ).
fof(f6156,plain,
( xm = sdtpldt0(xp,sK3(xp,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xp)
| ~ spl4_222 ),
inference(resolution,[],[f6153,f172]) ).
fof(f6153,plain,
( sdtlseqdt0(xp,xm)
| ~ spl4_222 ),
inference(avatar_component_clause,[],[f6151]) ).
fof(f11252,plain,
( spl4_412
| ~ spl4_9
| ~ spl4_290 ),
inference(avatar_split_clause,[],[f8196,f8187,f230,f11249]) ).
fof(f11249,plain,
( spl4_412
<=> sz10 = sdtasdt0(sz10,sK2(sz10,sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_412])]) ).
fof(f8187,plain,
( spl4_290
<=> doDivides0(sz10,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_290])]) ).
fof(f8196,plain,
( sz10 = sdtasdt0(sz10,sK2(sz10,sz10))
| ~ spl4_9
| ~ spl4_290 ),
inference(subsumption_resolution,[],[f8194,f232]) ).
fof(f8194,plain,
( sz10 = sdtasdt0(sz10,sK2(sz10,sz10))
| ~ aNaturalNumber0(sz10)
| ~ spl4_290 ),
inference(duplicate_literal_removal,[],[f8193]) ).
fof(f8193,plain,
( sz10 = sdtasdt0(sz10,sK2(sz10,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz10)
| ~ spl4_290 ),
inference(resolution,[],[f8189,f169]) ).
fof(f8189,plain,
( doDivides0(sz10,sz10)
| ~ spl4_290 ),
inference(avatar_component_clause,[],[f8187]) ).
fof(f11176,plain,
( ~ spl4_2
| ~ spl4_285
| spl4_410 ),
inference(avatar_contradiction_clause,[],[f11175]) ).
fof(f11175,plain,
( $false
| ~ spl4_2
| ~ spl4_285
| spl4_410 ),
inference(subsumption_resolution,[],[f11174,f197]) ).
fof(f11174,plain,
( ~ aNaturalNumber0(xq)
| ~ spl4_285
| spl4_410 ),
inference(subsumption_resolution,[],[f11173,f7907]) ).
fof(f7907,plain,
( doDivides0(xq,xq)
| ~ spl4_285 ),
inference(avatar_component_clause,[],[f7905]) ).
fof(f7905,plain,
( spl4_285
<=> doDivides0(xq,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_285])]) ).
fof(f11173,plain,
( ~ doDivides0(xq,xq)
| ~ aNaturalNumber0(xq)
| spl4_410 ),
inference(duplicate_literal_removal,[],[f11172]) ).
fof(f11172,plain,
( ~ doDivides0(xq,xq)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xq)
| spl4_410 ),
inference(resolution,[],[f11166,f168]) ).
fof(f11166,plain,
( ~ aNaturalNumber0(sK2(xq,xq))
| spl4_410 ),
inference(avatar_component_clause,[],[f11164]) ).
fof(f11164,plain,
( spl4_410
<=> aNaturalNumber0(sK2(xq,xq)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_410])]) ).
fof(f11171,plain,
( ~ spl4_410
| spl4_411
| ~ spl4_2
| ~ spl4_9
| ~ spl4_54
| spl4_102
| ~ spl4_384 ),
inference(avatar_split_clause,[],[f11147,f10141,f1049,f511,f230,f195,f11168,f11164]) ).
fof(f11168,plain,
( spl4_411
<=> sz10 = sK2(xq,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_411])]) ).
fof(f511,plain,
( spl4_54
<=> xq = sdtasdt0(xq,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_54])]) ).
fof(f10141,plain,
( spl4_384
<=> xq = sdtasdt0(xq,sK2(xq,xq)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_384])]) ).
fof(f11147,plain,
( sz10 = sK2(xq,xq)
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ spl4_2
| ~ spl4_9
| ~ spl4_54
| spl4_102
| ~ spl4_384 ),
inference(trivial_inequality_removal,[],[f11132]) ).
fof(f11132,plain,
( xq != xq
| sz10 = sK2(xq,xq)
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ spl4_2
| ~ spl4_9
| ~ spl4_54
| spl4_102
| ~ spl4_384 ),
inference(superposition,[],[f3194,f10143]) ).
fof(f10143,plain,
( xq = sdtasdt0(xq,sK2(xq,xq))
| ~ spl4_384 ),
inference(avatar_component_clause,[],[f10141]) ).
fof(f3194,plain,
( ! [X34] :
( xq != sdtasdt0(xq,X34)
| sz10 = X34
| ~ aNaturalNumber0(X34) )
| ~ spl4_2
| ~ spl4_9
| ~ spl4_54
| spl4_102 ),
inference(subsumption_resolution,[],[f3193,f197]) ).
fof(f3193,plain,
( ! [X34] :
( xq != sdtasdt0(xq,X34)
| sz10 = X34
| ~ aNaturalNumber0(X34)
| ~ aNaturalNumber0(xq) )
| ~ spl4_9
| ~ spl4_54
| spl4_102 ),
inference(subsumption_resolution,[],[f3192,f1051]) ).
fof(f3192,plain,
( ! [X34] :
( xq != sdtasdt0(xq,X34)
| sz10 = X34
| ~ aNaturalNumber0(X34)
| sz00 = xq
| ~ aNaturalNumber0(xq) )
| ~ spl4_9
| ~ spl4_54 ),
inference(subsumption_resolution,[],[f3095,f232]) ).
fof(f3095,plain,
( ! [X34] :
( xq != sdtasdt0(xq,X34)
| sz10 = X34
| ~ aNaturalNumber0(X34)
| ~ aNaturalNumber0(sz10)
| sz00 = xq
| ~ aNaturalNumber0(xq) )
| ~ spl4_54 ),
inference(superposition,[],[f144,f513]) ).
fof(f513,plain,
( xq = sdtasdt0(xq,sz10)
| ~ spl4_54 ),
inference(avatar_component_clause,[],[f511]) ).
fof(f11034,plain,
( ~ spl4_1
| ~ spl4_8
| ~ spl4_283
| spl4_408 ),
inference(avatar_contradiction_clause,[],[f11033]) ).
fof(f11033,plain,
( $false
| ~ spl4_1
| ~ spl4_8
| ~ spl4_283
| spl4_408 ),
inference(subsumption_resolution,[],[f11032,f192]) ).
fof(f11032,plain,
( ~ aNaturalNumber0(xp)
| ~ spl4_8
| ~ spl4_283
| spl4_408 ),
inference(subsumption_resolution,[],[f11031,f227]) ).
fof(f11031,plain,
( ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ spl4_283
| spl4_408 ),
inference(subsumption_resolution,[],[f11030,f7897]) ).
fof(f7897,plain,
( doDivides0(xp,sz00)
| ~ spl4_283 ),
inference(avatar_component_clause,[],[f7895]) ).
fof(f7895,plain,
( spl4_283
<=> doDivides0(xp,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_283])]) ).
fof(f11030,plain,
( ~ doDivides0(xp,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| spl4_408 ),
inference(resolution,[],[f11024,f168]) ).
fof(f11024,plain,
( ~ aNaturalNumber0(sK2(xp,sz00))
| spl4_408 ),
inference(avatar_component_clause,[],[f11022]) ).
fof(f11022,plain,
( spl4_408
<=> aNaturalNumber0(sK2(xp,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_408])]) ).
fof(f11029,plain,
( ~ spl4_408
| spl4_409
| ~ spl4_1
| spl4_148
| ~ spl4_382 ),
inference(avatar_split_clause,[],[f11007,f10131,f2306,f190,f11026,f11022]) ).
fof(f11026,plain,
( spl4_409
<=> sz00 = sK2(xp,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_409])]) ).
fof(f2306,plain,
( spl4_148
<=> sdtlseqdt0(xp,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_148])]) ).
fof(f10131,plain,
( spl4_382
<=> sz00 = sdtasdt0(xp,sK2(xp,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_382])]) ).
fof(f11007,plain,
( sz00 = sK2(xp,sz00)
| ~ aNaturalNumber0(sK2(xp,sz00))
| ~ spl4_1
| spl4_148
| ~ spl4_382 ),
inference(subsumption_resolution,[],[f11006,f192]) ).
fof(f11006,plain,
( sz00 = sK2(xp,sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(xp,sz00))
| spl4_148
| ~ spl4_382 ),
inference(subsumption_resolution,[],[f10990,f2308]) ).
fof(f2308,plain,
( ~ sdtlseqdt0(xp,sz00)
| spl4_148 ),
inference(avatar_component_clause,[],[f2306]) ).
fof(f10990,plain,
( sdtlseqdt0(xp,sz00)
| sz00 = sK2(xp,sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(xp,sz00))
| ~ spl4_382 ),
inference(superposition,[],[f152,f10133]) ).
fof(f10133,plain,
( sz00 = sdtasdt0(xp,sK2(xp,sz00))
| ~ spl4_382 ),
inference(avatar_component_clause,[],[f10131]) ).
fof(f10846,plain,
( spl4_407
| ~ spl4_359
| ~ spl4_404 ),
inference(avatar_split_clause,[],[f10813,f10757,f9566,f10843]) ).
fof(f10843,plain,
( spl4_407
<=> doDivides0(xq,sdtasdt0(xq,xq)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_407])]) ).
fof(f9566,plain,
( spl4_359
<=> doDivides0(sK0,sdtasdt0(xq,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_359])]) ).
fof(f10813,plain,
( doDivides0(xq,sdtasdt0(xq,xq))
| ~ spl4_359
| ~ spl4_404 ),
inference(superposition,[],[f9568,f10759]) ).
fof(f9568,plain,
( doDivides0(sK0,sdtasdt0(xq,sK0))
| ~ spl4_359 ),
inference(avatar_component_clause,[],[f9566]) ).
fof(f10841,plain,
( spl4_406
| ~ spl4_326
| ~ spl4_404 ),
inference(avatar_split_clause,[],[f10804,f10757,f8440,f10838]) ).
fof(f10838,plain,
( spl4_406
<=> sdtlseqdt0(xq,sdtpldt0(xq,xq)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_406])]) ).
fof(f8440,plain,
( spl4_326
<=> sdtlseqdt0(sK0,sdtpldt0(xq,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_326])]) ).
fof(f10804,plain,
( sdtlseqdt0(xq,sdtpldt0(xq,xq))
| ~ spl4_326
| ~ spl4_404 ),
inference(superposition,[],[f8442,f10759]) ).
fof(f8442,plain,
( sdtlseqdt0(sK0,sdtpldt0(xq,sK0))
| ~ spl4_326 ),
inference(avatar_component_clause,[],[f8440]) ).
fof(f10834,plain,
( ~ spl4_401
| ~ spl4_8
| spl4_131
| ~ spl4_201
| ~ spl4_325
| ~ spl4_337
| ~ spl4_389 ),
inference(avatar_split_clause,[],[f10690,f10494,f8736,f8399,f5323,f1888,f225,f10724]) ).
fof(f10724,plain,
( spl4_401
<=> sz00 = sK3(sz00,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_401])]) ).
fof(f1888,plain,
( spl4_131
<=> sz00 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_131])]) ).
fof(f5323,plain,
( spl4_201
<=> sK1 = sdtpldt0(sz00,sK3(sz00,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_201])]) ).
fof(f8399,plain,
( spl4_325
<=> xp = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_325])]) ).
fof(f8736,plain,
( spl4_337
<=> sdtlseqdt0(sz00,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_337])]) ).
fof(f10494,plain,
( spl4_389
<=> sz00 = sdtmndt0(sz00,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_389])]) ).
fof(f10690,plain,
( sz00 != sK3(sz00,xp)
| ~ spl4_8
| spl4_131
| ~ spl4_201
| ~ spl4_325
| ~ spl4_337
| ~ spl4_389 ),
inference(forward_demodulation,[],[f10689,f8401]) ).
fof(f8401,plain,
( xp = sK1
| ~ spl4_325 ),
inference(avatar_component_clause,[],[f8399]) ).
fof(f10689,plain,
( sz00 != sK3(sz00,sK1)
| ~ spl4_8
| spl4_131
| ~ spl4_201
| ~ spl4_337
| ~ spl4_389 ),
inference(subsumption_resolution,[],[f10657,f1889]) ).
fof(f1889,plain,
( sz00 != sK1
| spl4_131 ),
inference(avatar_component_clause,[],[f1888]) ).
fof(f10657,plain,
( sz00 = sK1
| sz00 != sK3(sz00,sK1)
| ~ spl4_8
| ~ spl4_201
| ~ spl4_337
| ~ spl4_389 ),
inference(superposition,[],[f5325,f10560]) ).
fof(f10560,plain,
( ! [X0] :
( sz00 = sdtpldt0(sz00,X0)
| sz00 != X0 )
| ~ spl4_8
| ~ spl4_337
| ~ spl4_389 ),
inference(subsumption_resolution,[],[f10559,f227]) ).
fof(f10559,plain,
( ! [X0] :
( sz00 != X0
| sz00 = sdtpldt0(sz00,X0)
| ~ aNaturalNumber0(sz00) )
| ~ spl4_337
| ~ spl4_389 ),
inference(subsumption_resolution,[],[f10557,f8737]) ).
fof(f8737,plain,
( sdtlseqdt0(sz00,sz00)
| ~ spl4_337 ),
inference(avatar_component_clause,[],[f8736]) ).
fof(f10557,plain,
( ! [X0] :
( sz00 != X0
| sz00 = sdtpldt0(sz00,X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sz00) )
| ~ spl4_389 ),
inference(duplicate_literal_removal,[],[f10554]) ).
fof(f10554,plain,
( ! [X0] :
( sz00 != X0
| sz00 = sdtpldt0(sz00,X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz00) )
| ~ spl4_389 ),
inference(superposition,[],[f154,f10496]) ).
fof(f10496,plain,
( sz00 = sdtmndt0(sz00,sz00)
| ~ spl4_389 ),
inference(avatar_component_clause,[],[f10494]) ).
fof(f5325,plain,
( sK1 = sdtpldt0(sz00,sK3(sz00,sK1))
| ~ spl4_201 ),
inference(avatar_component_clause,[],[f5323]) ).
fof(f10832,plain,
( ~ spl4_402
| ~ spl4_8
| spl4_102
| ~ spl4_123
| ~ spl4_337
| ~ spl4_389 ),
inference(avatar_split_clause,[],[f10687,f10494,f8736,f1774,f1049,f225,f10729]) ).
fof(f10729,plain,
( spl4_402
<=> sz00 = sK3(sz00,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_402])]) ).
fof(f10687,plain,
( sz00 != sK3(sz00,xq)
| ~ spl4_8
| spl4_102
| ~ spl4_123
| ~ spl4_337
| ~ spl4_389 ),
inference(subsumption_resolution,[],[f10655,f1051]) ).
fof(f10655,plain,
( sz00 = xq
| sz00 != sK3(sz00,xq)
| ~ spl4_8
| ~ spl4_123
| ~ spl4_337
| ~ spl4_389 ),
inference(superposition,[],[f1776,f10560]) ).
fof(f10831,plain,
( ~ spl4_401
| ~ spl4_8
| spl4_98
| ~ spl4_149
| ~ spl4_337
| ~ spl4_389 ),
inference(avatar_split_clause,[],[f10686,f10494,f8736,f2530,f997,f225,f10724]) ).
fof(f2530,plain,
( spl4_149
<=> xp = sdtpldt0(sz00,sK3(sz00,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_149])]) ).
fof(f10686,plain,
( sz00 != sK3(sz00,xp)
| ~ spl4_8
| spl4_98
| ~ spl4_149
| ~ spl4_337
| ~ spl4_389 ),
inference(subsumption_resolution,[],[f10654,f998]) ).
fof(f10654,plain,
( sz00 = xp
| sz00 != sK3(sz00,xp)
| ~ spl4_8
| ~ spl4_149
| ~ spl4_337
| ~ spl4_389 ),
inference(superposition,[],[f2532,f10560]) ).
fof(f2532,plain,
( xp = sdtpldt0(sz00,sK3(sz00,xp))
| ~ spl4_149 ),
inference(avatar_component_clause,[],[f2530]) ).
fof(f10830,plain,
( ~ spl4_400
| ~ spl4_8
| spl4_115
| ~ spl4_199
| ~ spl4_337
| ~ spl4_389 ),
inference(avatar_split_clause,[],[f10685,f10494,f8736,f5313,f1313,f225,f10719]) ).
fof(f10719,plain,
( spl4_400
<=> sz00 = sK3(sz00,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_400])]) ).
fof(f5313,plain,
( spl4_199
<=> xn = sdtpldt0(sz00,sK3(sz00,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_199])]) ).
fof(f10685,plain,
( sz00 != sK3(sz00,xn)
| ~ spl4_8
| spl4_115
| ~ spl4_199
| ~ spl4_337
| ~ spl4_389 ),
inference(subsumption_resolution,[],[f10653,f1314]) ).
fof(f10653,plain,
( sz00 = xn
| sz00 != sK3(sz00,xn)
| ~ spl4_8
| ~ spl4_199
| ~ spl4_337
| ~ spl4_389 ),
inference(superposition,[],[f5315,f10560]) ).
fof(f5315,plain,
( xn = sdtpldt0(sz00,sK3(sz00,xn))
| ~ spl4_199 ),
inference(avatar_component_clause,[],[f5313]) ).
fof(f10829,plain,
( ~ spl4_399
| ~ spl4_8
| spl4_106
| ~ spl4_198
| ~ spl4_337
| ~ spl4_389 ),
inference(avatar_split_clause,[],[f10684,f10494,f8736,f5308,f1148,f225,f10714]) ).
fof(f10714,plain,
( spl4_399
<=> sz00 = sK3(sz00,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_399])]) ).
fof(f5308,plain,
( spl4_198
<=> xm = sdtpldt0(sz00,sK3(sz00,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_198])]) ).
fof(f10684,plain,
( sz00 != sK3(sz00,xm)
| ~ spl4_8
| spl4_106
| ~ spl4_198
| ~ spl4_337
| ~ spl4_389 ),
inference(subsumption_resolution,[],[f10652,f1149]) ).
fof(f10652,plain,
( sz00 = xm
| sz00 != sK3(sz00,xm)
| ~ spl4_8
| ~ spl4_198
| ~ spl4_337
| ~ spl4_389 ),
inference(superposition,[],[f5310,f10560]) ).
fof(f5310,plain,
( xm = sdtpldt0(sz00,sK3(sz00,xm))
| ~ spl4_198 ),
inference(avatar_component_clause,[],[f5308]) ).
fof(f10822,plain,
( spl4_405
| ~ spl4_358
| ~ spl4_404 ),
inference(avatar_split_clause,[],[f10812,f10757,f9555,f10819]) ).
fof(f10819,plain,
( spl4_405
<=> sdtlseqdt0(xq,sdtasdt0(xq,xq)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_405])]) ).
fof(f9555,plain,
( spl4_358
<=> sdtlseqdt0(sK0,sdtasdt0(xq,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_358])]) ).
fof(f10812,plain,
( sdtlseqdt0(xq,sdtasdt0(xq,xq))
| ~ spl4_358
| ~ spl4_404 ),
inference(superposition,[],[f9557,f10759]) ).
fof(f9557,plain,
( sdtlseqdt0(sK0,sdtasdt0(xq,sK0))
| ~ spl4_358 ),
inference(avatar_component_clause,[],[f9555]) ).
fof(f10760,plain,
( spl4_404
| ~ spl4_2
| ~ spl4_3
| ~ spl4_7
| spl4_11
| ~ spl4_18
| ~ spl4_20 ),
inference(avatar_split_clause,[],[f10755,f285,f275,f240,f220,f200,f195,f10757]) ).
fof(f10755,plain,
( xq = sK0
| ~ spl4_2
| ~ spl4_3
| ~ spl4_7
| spl4_11
| ~ spl4_18
| ~ spl4_20 ),
inference(subsumption_resolution,[],[f10754,f222]) ).
fof(f10754,plain,
( xq = sK0
| ~ aNaturalNumber0(sK0)
| ~ spl4_2
| ~ spl4_3
| spl4_11
| ~ spl4_18
| ~ spl4_20 ),
inference(trivial_inequality_removal,[],[f10747]) ).
fof(f10747,plain,
( sdtpldt0(xm,xn) != sdtpldt0(xm,xn)
| xq = sK0
| ~ aNaturalNumber0(sK0)
| ~ spl4_2
| ~ spl4_3
| spl4_11
| ~ spl4_18
| ~ spl4_20 ),
inference(superposition,[],[f3174,f287]) ).
fof(f3174,plain,
( ! [X23] :
( sdtpldt0(xm,xn) != sdtasdt0(xl,X23)
| xq = X23
| ~ aNaturalNumber0(X23) )
| ~ spl4_2
| ~ spl4_3
| spl4_11
| ~ spl4_18 ),
inference(subsumption_resolution,[],[f3173,f202]) ).
fof(f3173,plain,
( ! [X23] :
( sdtpldt0(xm,xn) != sdtasdt0(xl,X23)
| xq = X23
| ~ aNaturalNumber0(X23)
| ~ aNaturalNumber0(xl) )
| ~ spl4_2
| spl4_11
| ~ spl4_18 ),
inference(subsumption_resolution,[],[f3172,f242]) ).
fof(f3172,plain,
( ! [X23] :
( sdtpldt0(xm,xn) != sdtasdt0(xl,X23)
| xq = X23
| ~ aNaturalNumber0(X23)
| sz00 = xl
| ~ aNaturalNumber0(xl) )
| ~ spl4_2
| ~ spl4_18 ),
inference(subsumption_resolution,[],[f3084,f197]) ).
fof(f3084,plain,
( ! [X23] :
( sdtpldt0(xm,xn) != sdtasdt0(xl,X23)
| xq = X23
| ~ aNaturalNumber0(X23)
| ~ aNaturalNumber0(xq)
| sz00 = xl
| ~ aNaturalNumber0(xl) )
| ~ spl4_18 ),
inference(superposition,[],[f144,f277]) ).
fof(f10740,plain,
( ~ spl4_398
| ~ spl4_8
| spl4_11
| ~ spl4_163
| ~ spl4_337
| ~ spl4_389 ),
inference(avatar_split_clause,[],[f10683,f10494,f8736,f3003,f240,f225,f10709]) ).
fof(f10709,plain,
( spl4_398
<=> sz00 = sK3(sz00,xl) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_398])]) ).
fof(f3003,plain,
( spl4_163
<=> xl = sdtpldt0(sz00,sK3(sz00,xl)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_163])]) ).
fof(f10683,plain,
( sz00 != sK3(sz00,xl)
| ~ spl4_8
| spl4_11
| ~ spl4_163
| ~ spl4_337
| ~ spl4_389 ),
inference(subsumption_resolution,[],[f10651,f242]) ).
fof(f10651,plain,
( sz00 = xl
| sz00 != sK3(sz00,xl)
| ~ spl4_8
| ~ spl4_163
| ~ spl4_337
| ~ spl4_389 ),
inference(superposition,[],[f3005,f10560]) ).
fof(f3005,plain,
( xl = sdtpldt0(sz00,sK3(sz00,xl))
| ~ spl4_163 ),
inference(avatar_component_clause,[],[f3003]) ).
fof(f10739,plain,
( ~ spl4_397
| ~ spl4_8
| spl4_13
| ~ spl4_160
| ~ spl4_337
| ~ spl4_389 ),
inference(avatar_split_clause,[],[f10682,f10494,f8736,f2839,f250,f225,f10704]) ).
fof(f10704,plain,
( spl4_397
<=> sz00 = sK3(sz00,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_397])]) ).
fof(f250,plain,
( spl4_13
<=> sz00 = sz10 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_13])]) ).
fof(f2839,plain,
( spl4_160
<=> sz10 = sdtpldt0(sz00,sK3(sz00,sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_160])]) ).
fof(f10682,plain,
( sz00 != sK3(sz00,sz10)
| ~ spl4_8
| spl4_13
| ~ spl4_160
| ~ spl4_337
| ~ spl4_389 ),
inference(subsumption_resolution,[],[f10650,f252]) ).
fof(f252,plain,
( sz00 != sz10
| spl4_13 ),
inference(avatar_component_clause,[],[f250]) ).
fof(f10650,plain,
( sz00 = sz10
| sz00 != sK3(sz00,sz10)
| ~ spl4_8
| ~ spl4_160
| ~ spl4_337
| ~ spl4_389 ),
inference(superposition,[],[f2841,f10560]) ).
fof(f2841,plain,
( sz10 = sdtpldt0(sz00,sK3(sz00,sz10))
| ~ spl4_160 ),
inference(avatar_component_clause,[],[f2839]) ).
fof(f10738,plain,
( ~ spl4_401
| ~ spl4_8
| spl4_131
| ~ spl4_201
| ~ spl4_325
| ~ spl4_337
| ~ spl4_389 ),
inference(avatar_split_clause,[],[f10681,f10494,f8736,f8399,f5323,f1888,f225,f10724]) ).
fof(f10681,plain,
( sz00 != sK3(sz00,xp)
| ~ spl4_8
| spl4_131
| ~ spl4_201
| ~ spl4_325
| ~ spl4_337
| ~ spl4_389 ),
inference(forward_demodulation,[],[f10680,f8401]) ).
fof(f10680,plain,
( sz00 != sK3(sz00,sK1)
| ~ spl4_8
| spl4_131
| ~ spl4_201
| ~ spl4_337
| ~ spl4_389 ),
inference(subsumption_resolution,[],[f10639,f1889]) ).
fof(f10639,plain,
( sz00 = sK1
| sz00 != sK3(sz00,sK1)
| ~ spl4_8
| ~ spl4_201
| ~ spl4_337
| ~ spl4_389 ),
inference(superposition,[],[f10560,f5325]) ).
fof(f10737,plain,
( ~ spl4_403
| ~ spl4_8
| spl4_129
| ~ spl4_200
| ~ spl4_337
| ~ spl4_389 ),
inference(avatar_split_clause,[],[f10679,f10494,f8736,f5318,f1873,f225,f10734]) ).
fof(f10734,plain,
( spl4_403
<=> sz00 = sK3(sz00,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_403])]) ).
fof(f1873,plain,
( spl4_129
<=> sz00 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_129])]) ).
fof(f5318,plain,
( spl4_200
<=> sK0 = sdtpldt0(sz00,sK3(sz00,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_200])]) ).
fof(f10679,plain,
( sz00 != sK3(sz00,sK0)
| ~ spl4_8
| spl4_129
| ~ spl4_200
| ~ spl4_337
| ~ spl4_389 ),
inference(subsumption_resolution,[],[f10638,f1874]) ).
fof(f1874,plain,
( sz00 != sK0
| spl4_129 ),
inference(avatar_component_clause,[],[f1873]) ).
fof(f10638,plain,
( sz00 = sK0
| sz00 != sK3(sz00,sK0)
| ~ spl4_8
| ~ spl4_200
| ~ spl4_337
| ~ spl4_389 ),
inference(superposition,[],[f10560,f5320]) ).
fof(f5320,plain,
( sK0 = sdtpldt0(sz00,sK3(sz00,sK0))
| ~ spl4_200 ),
inference(avatar_component_clause,[],[f5318]) ).
fof(f10732,plain,
( ~ spl4_402
| ~ spl4_8
| spl4_102
| ~ spl4_123
| ~ spl4_337
| ~ spl4_389 ),
inference(avatar_split_clause,[],[f10678,f10494,f8736,f1774,f1049,f225,f10729]) ).
fof(f10678,plain,
( sz00 != sK3(sz00,xq)
| ~ spl4_8
| spl4_102
| ~ spl4_123
| ~ spl4_337
| ~ spl4_389 ),
inference(subsumption_resolution,[],[f10637,f1051]) ).
fof(f10637,plain,
( sz00 = xq
| sz00 != sK3(sz00,xq)
| ~ spl4_8
| ~ spl4_123
| ~ spl4_337
| ~ spl4_389 ),
inference(superposition,[],[f10560,f1776]) ).
fof(f10727,plain,
( ~ spl4_401
| ~ spl4_8
| spl4_98
| ~ spl4_149
| ~ spl4_337
| ~ spl4_389 ),
inference(avatar_split_clause,[],[f10677,f10494,f8736,f2530,f997,f225,f10724]) ).
fof(f10677,plain,
( sz00 != sK3(sz00,xp)
| ~ spl4_8
| spl4_98
| ~ spl4_149
| ~ spl4_337
| ~ spl4_389 ),
inference(subsumption_resolution,[],[f10636,f998]) ).
fof(f10636,plain,
( sz00 = xp
| sz00 != sK3(sz00,xp)
| ~ spl4_8
| ~ spl4_149
| ~ spl4_337
| ~ spl4_389 ),
inference(superposition,[],[f10560,f2532]) ).
fof(f10722,plain,
( ~ spl4_400
| ~ spl4_8
| spl4_115
| ~ spl4_199
| ~ spl4_337
| ~ spl4_389 ),
inference(avatar_split_clause,[],[f10676,f10494,f8736,f5313,f1313,f225,f10719]) ).
fof(f10676,plain,
( sz00 != sK3(sz00,xn)
| ~ spl4_8
| spl4_115
| ~ spl4_199
| ~ spl4_337
| ~ spl4_389 ),
inference(subsumption_resolution,[],[f10635,f1314]) ).
fof(f10635,plain,
( sz00 = xn
| sz00 != sK3(sz00,xn)
| ~ spl4_8
| ~ spl4_199
| ~ spl4_337
| ~ spl4_389 ),
inference(superposition,[],[f10560,f5315]) ).
fof(f10717,plain,
( ~ spl4_399
| ~ spl4_8
| spl4_106
| ~ spl4_198
| ~ spl4_337
| ~ spl4_389 ),
inference(avatar_split_clause,[],[f10675,f10494,f8736,f5308,f1148,f225,f10714]) ).
fof(f10675,plain,
( sz00 != sK3(sz00,xm)
| ~ spl4_8
| spl4_106
| ~ spl4_198
| ~ spl4_337
| ~ spl4_389 ),
inference(subsumption_resolution,[],[f10634,f1149]) ).
fof(f10634,plain,
( sz00 = xm
| sz00 != sK3(sz00,xm)
| ~ spl4_8
| ~ spl4_198
| ~ spl4_337
| ~ spl4_389 ),
inference(superposition,[],[f10560,f5310]) ).
fof(f10712,plain,
( ~ spl4_398
| ~ spl4_8
| spl4_11
| ~ spl4_163
| ~ spl4_337
| ~ spl4_389 ),
inference(avatar_split_clause,[],[f10674,f10494,f8736,f3003,f240,f225,f10709]) ).
fof(f10674,plain,
( sz00 != sK3(sz00,xl)
| ~ spl4_8
| spl4_11
| ~ spl4_163
| ~ spl4_337
| ~ spl4_389 ),
inference(subsumption_resolution,[],[f10633,f242]) ).
fof(f10633,plain,
( sz00 = xl
| sz00 != sK3(sz00,xl)
| ~ spl4_8
| ~ spl4_163
| ~ spl4_337
| ~ spl4_389 ),
inference(superposition,[],[f10560,f3005]) ).
fof(f10707,plain,
( ~ spl4_397
| ~ spl4_8
| spl4_13
| ~ spl4_160
| ~ spl4_337
| ~ spl4_389 ),
inference(avatar_split_clause,[],[f10673,f10494,f8736,f2839,f250,f225,f10704]) ).
fof(f10673,plain,
( sz00 != sK3(sz00,sz10)
| ~ spl4_8
| spl4_13
| ~ spl4_160
| ~ spl4_337
| ~ spl4_389 ),
inference(subsumption_resolution,[],[f10632,f252]) ).
fof(f10632,plain,
( sz00 = sz10
| sz00 != sK3(sz00,sz10)
| ~ spl4_8
| ~ spl4_160
| ~ spl4_337
| ~ spl4_389 ),
inference(superposition,[],[f10560,f2841]) ).
fof(f10548,plain,
( spl4_389
| ~ spl4_68
| ~ spl4_208
| ~ spl4_209 ),
inference(avatar_split_clause,[],[f10488,f5897,f5893,f652,f10494]) ).
fof(f652,plain,
( spl4_68
<=> sz00 = sdtpldt0(sz00,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_68])]) ).
fof(f5893,plain,
( spl4_208
<=> aNaturalNumber0(sK2(xq,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_208])]) ).
fof(f5897,plain,
( spl4_209
<=> sz00 = sK2(xq,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_209])]) ).
fof(f10488,plain,
( sz00 = sdtmndt0(sz00,sz00)
| ~ spl4_68
| ~ spl4_208
| ~ spl4_209 ),
inference(forward_demodulation,[],[f10487,f654]) ).
fof(f654,plain,
( sz00 = sdtpldt0(sz00,sz00)
| ~ spl4_68 ),
inference(avatar_component_clause,[],[f652]) ).
fof(f10487,plain,
( sz00 = sdtmndt0(sdtpldt0(sz00,sz00),sz00)
| ~ spl4_208
| ~ spl4_209 ),
inference(forward_demodulation,[],[f10473,f5899]) ).
fof(f5899,plain,
( sz00 = sK2(xq,sz00)
| ~ spl4_209 ),
inference(avatar_component_clause,[],[f5897]) ).
fof(f10473,plain,
( sz00 = sdtmndt0(sdtpldt0(sK2(xq,sz00),sz00),sK2(xq,sz00))
| ~ spl4_208
| ~ spl4_209 ),
inference(resolution,[],[f10456,f5894]) ).
fof(f5894,plain,
( aNaturalNumber0(sK2(xq,sz00))
| ~ spl4_208 ),
inference(avatar_component_clause,[],[f5893]) ).
fof(f10456,plain,
( ! [X22] :
( ~ aNaturalNumber0(X22)
| sz00 = sdtmndt0(sdtpldt0(X22,sz00),X22) )
| ~ spl4_208
| ~ spl4_209 ),
inference(forward_demodulation,[],[f10451,f5899]) ).
fof(f10451,plain,
( ! [X22] :
( sK2(xq,sz00) = sdtmndt0(sdtpldt0(X22,sK2(xq,sz00)),X22)
| ~ aNaturalNumber0(X22) )
| ~ spl4_208 ),
inference(resolution,[],[f3726,f5894]) ).
fof(f10533,plain,
( spl4_394
| ~ spl4_6
| ~ spl4_38
| ~ spl4_208
| ~ spl4_209
| ~ spl4_325 ),
inference(avatar_split_clause,[],[f10486,f8399,f5897,f5893,f411,f215,f10519]) ).
fof(f10519,plain,
( spl4_394
<=> sz00 = sdtmndt0(xp,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_394])]) ).
fof(f215,plain,
( spl4_6
<=> aNaturalNumber0(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).
fof(f411,plain,
( spl4_38
<=> xp = sdtpldt0(xp,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_38])]) ).
fof(f10486,plain,
( sz00 = sdtmndt0(xp,xp)
| ~ spl4_6
| ~ spl4_38
| ~ spl4_208
| ~ spl4_209
| ~ spl4_325 ),
inference(forward_demodulation,[],[f10485,f413]) ).
fof(f413,plain,
( xp = sdtpldt0(xp,sz00)
| ~ spl4_38 ),
inference(avatar_component_clause,[],[f411]) ).
fof(f10485,plain,
( sz00 = sdtmndt0(sdtpldt0(xp,sz00),xp)
| ~ spl4_6
| ~ spl4_208
| ~ spl4_209
| ~ spl4_325 ),
inference(forward_demodulation,[],[f10471,f8401]) ).
fof(f10471,plain,
( sz00 = sdtmndt0(sdtpldt0(sK1,sz00),sK1)
| ~ spl4_6
| ~ spl4_208
| ~ spl4_209 ),
inference(resolution,[],[f10456,f217]) ).
fof(f217,plain,
( aNaturalNumber0(sK1)
| ~ spl4_6 ),
inference(avatar_component_clause,[],[f215]) ).
fof(f10532,plain,
( spl4_396
| ~ spl4_7
| ~ spl4_40
| ~ spl4_208
| ~ spl4_209 ),
inference(avatar_split_clause,[],[f10484,f5897,f5893,f421,f220,f10529]) ).
fof(f10529,plain,
( spl4_396
<=> sz00 = sdtmndt0(sK0,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_396])]) ).
fof(f421,plain,
( spl4_40
<=> sK0 = sdtpldt0(sK0,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_40])]) ).
fof(f10484,plain,
( sz00 = sdtmndt0(sK0,sK0)
| ~ spl4_7
| ~ spl4_40
| ~ spl4_208
| ~ spl4_209 ),
inference(forward_demodulation,[],[f10470,f423]) ).
fof(f423,plain,
( sK0 = sdtpldt0(sK0,sz00)
| ~ spl4_40 ),
inference(avatar_component_clause,[],[f421]) ).
fof(f10470,plain,
( sz00 = sdtmndt0(sdtpldt0(sK0,sz00),sK0)
| ~ spl4_7
| ~ spl4_208
| ~ spl4_209 ),
inference(resolution,[],[f10456,f222]) ).
fof(f10527,plain,
( spl4_395
| ~ spl4_2
| ~ spl4_39
| ~ spl4_208
| ~ spl4_209 ),
inference(avatar_split_clause,[],[f10483,f5897,f5893,f416,f195,f10524]) ).
fof(f10524,plain,
( spl4_395
<=> sz00 = sdtmndt0(xq,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_395])]) ).
fof(f416,plain,
( spl4_39
<=> xq = sdtpldt0(xq,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_39])]) ).
fof(f10483,plain,
( sz00 = sdtmndt0(xq,xq)
| ~ spl4_2
| ~ spl4_39
| ~ spl4_208
| ~ spl4_209 ),
inference(forward_demodulation,[],[f10469,f418]) ).
fof(f418,plain,
( xq = sdtpldt0(xq,sz00)
| ~ spl4_39 ),
inference(avatar_component_clause,[],[f416]) ).
fof(f10469,plain,
( sz00 = sdtmndt0(sdtpldt0(xq,sz00),xq)
| ~ spl4_2
| ~ spl4_208
| ~ spl4_209 ),
inference(resolution,[],[f10456,f197]) ).
fof(f10522,plain,
( spl4_394
| ~ spl4_1
| ~ spl4_38
| ~ spl4_208
| ~ spl4_209 ),
inference(avatar_split_clause,[],[f10482,f5897,f5893,f411,f190,f10519]) ).
fof(f10482,plain,
( sz00 = sdtmndt0(xp,xp)
| ~ spl4_1
| ~ spl4_38
| ~ spl4_208
| ~ spl4_209 ),
inference(forward_demodulation,[],[f10468,f413]) ).
fof(f10468,plain,
( sz00 = sdtmndt0(sdtpldt0(xp,sz00),xp)
| ~ spl4_1
| ~ spl4_208
| ~ spl4_209 ),
inference(resolution,[],[f10456,f192]) ).
fof(f10517,plain,
( spl4_393
| ~ spl4_5
| ~ spl4_37
| ~ spl4_208
| ~ spl4_209 ),
inference(avatar_split_clause,[],[f10481,f5897,f5893,f397,f210,f10514]) ).
fof(f10514,plain,
( spl4_393
<=> sz00 = sdtmndt0(xn,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_393])]) ).
fof(f397,plain,
( spl4_37
<=> xn = sdtpldt0(xn,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_37])]) ).
fof(f10481,plain,
( sz00 = sdtmndt0(xn,xn)
| ~ spl4_5
| ~ spl4_37
| ~ spl4_208
| ~ spl4_209 ),
inference(forward_demodulation,[],[f10467,f399]) ).
fof(f399,plain,
( xn = sdtpldt0(xn,sz00)
| ~ spl4_37 ),
inference(avatar_component_clause,[],[f397]) ).
fof(f10467,plain,
( sz00 = sdtmndt0(sdtpldt0(xn,sz00),xn)
| ~ spl4_5
| ~ spl4_208
| ~ spl4_209 ),
inference(resolution,[],[f10456,f212]) ).
fof(f10512,plain,
( spl4_392
| ~ spl4_4
| ~ spl4_36
| ~ spl4_208
| ~ spl4_209 ),
inference(avatar_split_clause,[],[f10480,f5897,f5893,f392,f205,f10509]) ).
fof(f10509,plain,
( spl4_392
<=> sz00 = sdtmndt0(xm,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_392])]) ).
fof(f392,plain,
( spl4_36
<=> xm = sdtpldt0(xm,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_36])]) ).
fof(f10480,plain,
( sz00 = sdtmndt0(xm,xm)
| ~ spl4_4
| ~ spl4_36
| ~ spl4_208
| ~ spl4_209 ),
inference(forward_demodulation,[],[f10466,f394]) ).
fof(f394,plain,
( xm = sdtpldt0(xm,sz00)
| ~ spl4_36 ),
inference(avatar_component_clause,[],[f392]) ).
fof(f10466,plain,
( sz00 = sdtmndt0(sdtpldt0(xm,sz00),xm)
| ~ spl4_4
| ~ spl4_208
| ~ spl4_209 ),
inference(resolution,[],[f10456,f207]) ).
fof(f10507,plain,
( spl4_391
| ~ spl4_3
| ~ spl4_35
| ~ spl4_208
| ~ spl4_209 ),
inference(avatar_split_clause,[],[f10479,f5897,f5893,f387,f200,f10504]) ).
fof(f10504,plain,
( spl4_391
<=> sz00 = sdtmndt0(xl,xl) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_391])]) ).
fof(f387,plain,
( spl4_35
<=> xl = sdtpldt0(xl,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_35])]) ).
fof(f10479,plain,
( sz00 = sdtmndt0(xl,xl)
| ~ spl4_3
| ~ spl4_35
| ~ spl4_208
| ~ spl4_209 ),
inference(forward_demodulation,[],[f10465,f389]) ).
fof(f389,plain,
( xl = sdtpldt0(xl,sz00)
| ~ spl4_35 ),
inference(avatar_component_clause,[],[f387]) ).
fof(f10465,plain,
( sz00 = sdtmndt0(sdtpldt0(xl,sz00),xl)
| ~ spl4_3
| ~ spl4_208
| ~ spl4_209 ),
inference(resolution,[],[f10456,f202]) ).
fof(f10502,plain,
( spl4_390
| ~ spl4_9
| ~ spl4_70
| ~ spl4_208
| ~ spl4_209 ),
inference(avatar_split_clause,[],[f10478,f5897,f5893,f671,f230,f10499]) ).
fof(f10499,plain,
( spl4_390
<=> sz00 = sdtmndt0(sz10,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_390])]) ).
fof(f671,plain,
( spl4_70
<=> sz10 = sdtpldt0(sz10,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_70])]) ).
fof(f10478,plain,
( sz00 = sdtmndt0(sz10,sz10)
| ~ spl4_9
| ~ spl4_70
| ~ spl4_208
| ~ spl4_209 ),
inference(forward_demodulation,[],[f10460,f673]) ).
fof(f673,plain,
( sz10 = sdtpldt0(sz10,sz00)
| ~ spl4_70 ),
inference(avatar_component_clause,[],[f671]) ).
fof(f10460,plain,
( sz00 = sdtmndt0(sdtpldt0(sz10,sz00),sz10)
| ~ spl4_9
| ~ spl4_208
| ~ spl4_209 ),
inference(resolution,[],[f10456,f232]) ).
fof(f10497,plain,
( spl4_389
| ~ spl4_8
| ~ spl4_68
| ~ spl4_208
| ~ spl4_209 ),
inference(avatar_split_clause,[],[f10477,f5897,f5893,f652,f225,f10494]) ).
fof(f10477,plain,
( sz00 = sdtmndt0(sz00,sz00)
| ~ spl4_8
| ~ spl4_68
| ~ spl4_208
| ~ spl4_209 ),
inference(forward_demodulation,[],[f10459,f654]) ).
fof(f10459,plain,
( sz00 = sdtmndt0(sdtpldt0(sz00,sz00),sz00)
| ~ spl4_8
| ~ spl4_208
| ~ spl4_209 ),
inference(resolution,[],[f10456,f227]) ).
fof(f10436,plain,
( ~ spl4_388
| ~ spl4_3
| ~ spl4_4
| spl4_11
| ~ spl4_12
| ~ spl4_15
| spl4_134
| ~ spl4_377 ),
inference(avatar_split_clause,[],[f10410,f10080,f1916,f260,f245,f240,f205,f200,f10432]) ).
fof(f10432,plain,
( spl4_388
<=> xp = sK2(xl,xl) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_388])]) ).
fof(f1916,plain,
( spl4_134
<=> xl = xm ),
introduced(avatar_definition,[new_symbols(naming,[spl4_134])]) ).
fof(f10080,plain,
( spl4_377
<=> xl = sdtasdt0(xl,sK2(xl,xl)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_377])]) ).
fof(f10410,plain,
( xp != sK2(xl,xl)
| ~ spl4_3
| ~ spl4_4
| spl4_11
| ~ spl4_12
| ~ spl4_15
| spl4_134
| ~ spl4_377 ),
inference(subsumption_resolution,[],[f10392,f1917]) ).
fof(f1917,plain,
( xl != xm
| spl4_134 ),
inference(avatar_component_clause,[],[f1916]) ).
fof(f10392,plain,
( xl = xm
| xp != sK2(xl,xl)
| ~ spl4_3
| ~ spl4_4
| spl4_11
| ~ spl4_12
| ~ spl4_15
| ~ spl4_377 ),
inference(superposition,[],[f4694,f10082]) ).
fof(f10082,plain,
( xl = sdtasdt0(xl,sK2(xl,xl))
| ~ spl4_377 ),
inference(avatar_component_clause,[],[f10080]) ).
fof(f10435,plain,
( ~ spl4_388
| ~ spl4_3
| ~ spl4_4
| spl4_11
| ~ spl4_12
| ~ spl4_15
| spl4_134
| ~ spl4_377 ),
inference(avatar_split_clause,[],[f10408,f10080,f1916,f260,f245,f240,f205,f200,f10432]) ).
fof(f10408,plain,
( xp != sK2(xl,xl)
| ~ spl4_3
| ~ spl4_4
| spl4_11
| ~ spl4_12
| ~ spl4_15
| spl4_134
| ~ spl4_377 ),
inference(subsumption_resolution,[],[f10389,f1917]) ).
fof(f10389,plain,
( xl = xm
| xp != sK2(xl,xl)
| ~ spl4_3
| ~ spl4_4
| spl4_11
| ~ spl4_12
| ~ spl4_15
| ~ spl4_377 ),
inference(superposition,[],[f10082,f4694]) ).
fof(f10430,plain,
( ~ spl4_387
| ~ spl4_3
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64
| spl4_166
| ~ spl4_377 ),
inference(avatar_split_clause,[],[f10409,f10080,f3052,f609,f280,f270,f240,f200,f10426]) ).
fof(f10426,plain,
( spl4_387
<=> xq = sK2(xl,xl) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_387])]) ).
fof(f3052,plain,
( spl4_166
<=> xl = sdtpldt0(xm,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_166])]) ).
fof(f10409,plain,
( xq != sK2(xl,xl)
| ~ spl4_3
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64
| spl4_166
| ~ spl4_377 ),
inference(subsumption_resolution,[],[f10390,f3053]) ).
fof(f3053,plain,
( xl != sdtpldt0(xm,xn)
| spl4_166 ),
inference(avatar_component_clause,[],[f3052]) ).
fof(f10390,plain,
( xl = sdtpldt0(xm,xn)
| xq != sK2(xl,xl)
| ~ spl4_3
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64
| ~ spl4_377 ),
inference(superposition,[],[f4698,f10082]) ).
fof(f10429,plain,
( ~ spl4_387
| ~ spl4_3
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64
| spl4_166
| ~ spl4_377 ),
inference(avatar_split_clause,[],[f10407,f10080,f3052,f609,f280,f270,f240,f200,f10426]) ).
fof(f10407,plain,
( xq != sK2(xl,xl)
| ~ spl4_3
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64
| spl4_166
| ~ spl4_377 ),
inference(subsumption_resolution,[],[f10388,f3053]) ).
fof(f10388,plain,
( xl = sdtpldt0(xm,xn)
| xq != sK2(xl,xl)
| ~ spl4_3
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64
| ~ spl4_377 ),
inference(superposition,[],[f10082,f4698]) ).
fof(f10154,plain,
( spl4_386
| ~ spl4_7
| ~ spl4_287 ),
inference(avatar_split_clause,[],[f8174,f8054,f220,f10151]) ).
fof(f10151,plain,
( spl4_386
<=> sK0 = sdtasdt0(sK0,sK2(sK0,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_386])]) ).
fof(f8054,plain,
( spl4_287
<=> doDivides0(sK0,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_287])]) ).
fof(f8174,plain,
( sK0 = sdtasdt0(sK0,sK2(sK0,sK0))
| ~ spl4_7
| ~ spl4_287 ),
inference(subsumption_resolution,[],[f8172,f222]) ).
fof(f8172,plain,
( sK0 = sdtasdt0(sK0,sK2(sK0,sK0))
| ~ aNaturalNumber0(sK0)
| ~ spl4_287 ),
inference(duplicate_literal_removal,[],[f8171]) ).
fof(f8171,plain,
( sK0 = sdtasdt0(sK0,sK2(sK0,sK0))
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sK0)
| ~ spl4_287 ),
inference(resolution,[],[f8056,f169]) ).
fof(f8056,plain,
( doDivides0(sK0,sK0)
| ~ spl4_287 ),
inference(avatar_component_clause,[],[f8054]) ).
fof(f10149,plain,
( spl4_385
| ~ spl4_7
| ~ spl4_8
| ~ spl4_286 ),
inference(avatar_split_clause,[],[f8169,f8049,f225,f220,f10146]) ).
fof(f10146,plain,
( spl4_385
<=> sz00 = sdtasdt0(sK0,sK2(sK0,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_385])]) ).
fof(f8049,plain,
( spl4_286
<=> doDivides0(sK0,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_286])]) ).
fof(f8169,plain,
( sz00 = sdtasdt0(sK0,sK2(sK0,sz00))
| ~ spl4_7
| ~ spl4_8
| ~ spl4_286 ),
inference(subsumption_resolution,[],[f8168,f222]) ).
fof(f8168,plain,
( sz00 = sdtasdt0(sK0,sK2(sK0,sz00))
| ~ aNaturalNumber0(sK0)
| ~ spl4_8
| ~ spl4_286 ),
inference(subsumption_resolution,[],[f8165,f227]) ).
fof(f8165,plain,
( sz00 = sdtasdt0(sK0,sK2(sK0,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0)
| ~ spl4_286 ),
inference(resolution,[],[f8051,f169]) ).
fof(f8051,plain,
( doDivides0(sK0,sz00)
| ~ spl4_286 ),
inference(avatar_component_clause,[],[f8049]) ).
fof(f10144,plain,
( spl4_384
| ~ spl4_2
| ~ spl4_285 ),
inference(avatar_split_clause,[],[f8163,f7905,f195,f10141]) ).
fof(f8163,plain,
( xq = sdtasdt0(xq,sK2(xq,xq))
| ~ spl4_2
| ~ spl4_285 ),
inference(subsumption_resolution,[],[f8161,f197]) ).
fof(f8161,plain,
( xq = sdtasdt0(xq,sK2(xq,xq))
| ~ aNaturalNumber0(xq)
| ~ spl4_285 ),
inference(duplicate_literal_removal,[],[f8160]) ).
fof(f8160,plain,
( xq = sdtasdt0(xq,sK2(xq,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xq)
| ~ spl4_285 ),
inference(resolution,[],[f7907,f169]) ).
fof(f10139,plain,
( spl4_383
| ~ spl4_1
| ~ spl4_284 ),
inference(avatar_split_clause,[],[f8157,f7900,f190,f10136]) ).
fof(f10136,plain,
( spl4_383
<=> xp = sdtasdt0(xp,sK2(xp,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_383])]) ).
fof(f7900,plain,
( spl4_284
<=> doDivides0(xp,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_284])]) ).
fof(f8157,plain,
( xp = sdtasdt0(xp,sK2(xp,xp))
| ~ spl4_1
| ~ spl4_284 ),
inference(subsumption_resolution,[],[f8155,f192]) ).
fof(f8155,plain,
( xp = sdtasdt0(xp,sK2(xp,xp))
| ~ aNaturalNumber0(xp)
| ~ spl4_284 ),
inference(duplicate_literal_removal,[],[f8154]) ).
fof(f8154,plain,
( xp = sdtasdt0(xp,sK2(xp,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xp)
| ~ spl4_284 ),
inference(resolution,[],[f7902,f169]) ).
fof(f7902,plain,
( doDivides0(xp,xp)
| ~ spl4_284 ),
inference(avatar_component_clause,[],[f7900]) ).
fof(f10134,plain,
( spl4_382
| ~ spl4_1
| ~ spl4_8
| ~ spl4_283 ),
inference(avatar_split_clause,[],[f8152,f7895,f225,f190,f10131]) ).
fof(f8152,plain,
( sz00 = sdtasdt0(xp,sK2(xp,sz00))
| ~ spl4_1
| ~ spl4_8
| ~ spl4_283 ),
inference(subsumption_resolution,[],[f8151,f192]) ).
fof(f8151,plain,
( sz00 = sdtasdt0(xp,sK2(xp,sz00))
| ~ aNaturalNumber0(xp)
| ~ spl4_8
| ~ spl4_283 ),
inference(subsumption_resolution,[],[f8148,f227]) ).
fof(f8148,plain,
( sz00 = sdtasdt0(xp,sK2(xp,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ spl4_283 ),
inference(resolution,[],[f7897,f169]) ).
fof(f10129,plain,
( spl4_381
| ~ spl4_5
| ~ spl4_282 ),
inference(avatar_split_clause,[],[f8146,f7890,f210,f10126]) ).
fof(f10126,plain,
( spl4_381
<=> xn = sdtasdt0(xn,sK2(xn,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_381])]) ).
fof(f7890,plain,
( spl4_282
<=> doDivides0(xn,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_282])]) ).
fof(f8146,plain,
( xn = sdtasdt0(xn,sK2(xn,xn))
| ~ spl4_5
| ~ spl4_282 ),
inference(subsumption_resolution,[],[f8144,f212]) ).
fof(f8144,plain,
( xn = sdtasdt0(xn,sK2(xn,xn))
| ~ aNaturalNumber0(xn)
| ~ spl4_282 ),
inference(duplicate_literal_removal,[],[f8143]) ).
fof(f8143,plain,
( xn = sdtasdt0(xn,sK2(xn,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xn)
| ~ spl4_282 ),
inference(resolution,[],[f7892,f169]) ).
fof(f7892,plain,
( doDivides0(xn,xn)
| ~ spl4_282 ),
inference(avatar_component_clause,[],[f7890]) ).
fof(f10098,plain,
( spl4_380
| ~ spl4_5
| ~ spl4_8
| ~ spl4_281 ),
inference(avatar_split_clause,[],[f8141,f7885,f225,f210,f10095]) ).
fof(f10095,plain,
( spl4_380
<=> sz00 = sdtasdt0(xn,sK2(xn,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_380])]) ).
fof(f7885,plain,
( spl4_281
<=> doDivides0(xn,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_281])]) ).
fof(f8141,plain,
( sz00 = sdtasdt0(xn,sK2(xn,sz00))
| ~ spl4_5
| ~ spl4_8
| ~ spl4_281 ),
inference(subsumption_resolution,[],[f8140,f212]) ).
fof(f8140,plain,
( sz00 = sdtasdt0(xn,sK2(xn,sz00))
| ~ aNaturalNumber0(xn)
| ~ spl4_8
| ~ spl4_281 ),
inference(subsumption_resolution,[],[f8137,f227]) ).
fof(f8137,plain,
( sz00 = sdtasdt0(xn,sK2(xn,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ spl4_281 ),
inference(resolution,[],[f7887,f169]) ).
fof(f7887,plain,
( doDivides0(xn,sz00)
| ~ spl4_281 ),
inference(avatar_component_clause,[],[f7885]) ).
fof(f10093,plain,
( spl4_379
| ~ spl4_4
| ~ spl4_280 ),
inference(avatar_split_clause,[],[f8135,f7880,f205,f10090]) ).
fof(f10090,plain,
( spl4_379
<=> xm = sdtasdt0(xm,sK2(xm,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_379])]) ).
fof(f7880,plain,
( spl4_280
<=> doDivides0(xm,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_280])]) ).
fof(f8135,plain,
( xm = sdtasdt0(xm,sK2(xm,xm))
| ~ spl4_4
| ~ spl4_280 ),
inference(subsumption_resolution,[],[f8133,f207]) ).
fof(f8133,plain,
( xm = sdtasdt0(xm,sK2(xm,xm))
| ~ aNaturalNumber0(xm)
| ~ spl4_280 ),
inference(duplicate_literal_removal,[],[f8132]) ).
fof(f8132,plain,
( xm = sdtasdt0(xm,sK2(xm,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xm)
| ~ spl4_280 ),
inference(resolution,[],[f7882,f169]) ).
fof(f7882,plain,
( doDivides0(xm,xm)
| ~ spl4_280 ),
inference(avatar_component_clause,[],[f7880]) ).
fof(f10088,plain,
( spl4_378
| ~ spl4_4
| ~ spl4_8
| ~ spl4_279 ),
inference(avatar_split_clause,[],[f8130,f7875,f225,f205,f10085]) ).
fof(f10085,plain,
( spl4_378
<=> sz00 = sdtasdt0(xm,sK2(xm,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_378])]) ).
fof(f7875,plain,
( spl4_279
<=> doDivides0(xm,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_279])]) ).
fof(f8130,plain,
( sz00 = sdtasdt0(xm,sK2(xm,sz00))
| ~ spl4_4
| ~ spl4_8
| ~ spl4_279 ),
inference(subsumption_resolution,[],[f8129,f207]) ).
fof(f8129,plain,
( sz00 = sdtasdt0(xm,sK2(xm,sz00))
| ~ aNaturalNumber0(xm)
| ~ spl4_8
| ~ spl4_279 ),
inference(subsumption_resolution,[],[f8126,f227]) ).
fof(f8126,plain,
( sz00 = sdtasdt0(xm,sK2(xm,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ spl4_279 ),
inference(resolution,[],[f7877,f169]) ).
fof(f7877,plain,
( doDivides0(xm,sz00)
| ~ spl4_279 ),
inference(avatar_component_clause,[],[f7875]) ).
fof(f10083,plain,
( spl4_377
| ~ spl4_3
| ~ spl4_278 ),
inference(avatar_split_clause,[],[f8124,f7870,f200,f10080]) ).
fof(f7870,plain,
( spl4_278
<=> doDivides0(xl,xl) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_278])]) ).
fof(f8124,plain,
( xl = sdtasdt0(xl,sK2(xl,xl))
| ~ spl4_3
| ~ spl4_278 ),
inference(subsumption_resolution,[],[f8122,f202]) ).
fof(f8122,plain,
( xl = sdtasdt0(xl,sK2(xl,xl))
| ~ aNaturalNumber0(xl)
| ~ spl4_278 ),
inference(duplicate_literal_removal,[],[f8121]) ).
fof(f8121,plain,
( xl = sdtasdt0(xl,sK2(xl,xl))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xl)
| ~ spl4_278 ),
inference(resolution,[],[f7872,f169]) ).
fof(f7872,plain,
( doDivides0(xl,xl)
| ~ spl4_278 ),
inference(avatar_component_clause,[],[f7870]) ).
fof(f10077,plain,
( spl4_376
| ~ spl4_7
| ~ spl4_9
| ~ spl4_276 ),
inference(avatar_split_clause,[],[f8109,f7860,f230,f220,f10074]) ).
fof(f10074,plain,
( spl4_376
<=> sK0 = sdtasdt0(sz10,sK2(sz10,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_376])]) ).
fof(f7860,plain,
( spl4_276
<=> doDivides0(sz10,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_276])]) ).
fof(f8109,plain,
( sK0 = sdtasdt0(sz10,sK2(sz10,sK0))
| ~ spl4_7
| ~ spl4_9
| ~ spl4_276 ),
inference(subsumption_resolution,[],[f8108,f232]) ).
fof(f8108,plain,
( sK0 = sdtasdt0(sz10,sK2(sz10,sK0))
| ~ aNaturalNumber0(sz10)
| ~ spl4_7
| ~ spl4_276 ),
inference(subsumption_resolution,[],[f8105,f222]) ).
fof(f8105,plain,
( sK0 = sdtasdt0(sz10,sK2(sz10,sK0))
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sz10)
| ~ spl4_276 ),
inference(resolution,[],[f7862,f169]) ).
fof(f7862,plain,
( doDivides0(sz10,sK0)
| ~ spl4_276 ),
inference(avatar_component_clause,[],[f7860]) ).
fof(f10072,plain,
( spl4_375
| ~ spl4_2
| ~ spl4_9
| ~ spl4_275 ),
inference(avatar_split_clause,[],[f8103,f7855,f230,f195,f10069]) ).
fof(f10069,plain,
( spl4_375
<=> xq = sdtasdt0(sz10,sK2(sz10,xq)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_375])]) ).
fof(f7855,plain,
( spl4_275
<=> doDivides0(sz10,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_275])]) ).
fof(f8103,plain,
( xq = sdtasdt0(sz10,sK2(sz10,xq))
| ~ spl4_2
| ~ spl4_9
| ~ spl4_275 ),
inference(subsumption_resolution,[],[f8102,f232]) ).
fof(f8102,plain,
( xq = sdtasdt0(sz10,sK2(sz10,xq))
| ~ aNaturalNumber0(sz10)
| ~ spl4_2
| ~ spl4_275 ),
inference(subsumption_resolution,[],[f8099,f197]) ).
fof(f8099,plain,
( xq = sdtasdt0(sz10,sK2(sz10,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz10)
| ~ spl4_275 ),
inference(resolution,[],[f7857,f169]) ).
fof(f7857,plain,
( doDivides0(sz10,xq)
| ~ spl4_275 ),
inference(avatar_component_clause,[],[f7855]) ).
fof(f10067,plain,
( spl4_374
| ~ spl4_1
| ~ spl4_9
| ~ spl4_274 ),
inference(avatar_split_clause,[],[f8096,f7832,f230,f190,f10064]) ).
fof(f10064,plain,
( spl4_374
<=> xp = sdtasdt0(sz10,sK2(sz10,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_374])]) ).
fof(f7832,plain,
( spl4_274
<=> doDivides0(sz10,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_274])]) ).
fof(f8096,plain,
( xp = sdtasdt0(sz10,sK2(sz10,xp))
| ~ spl4_1
| ~ spl4_9
| ~ spl4_274 ),
inference(subsumption_resolution,[],[f8095,f232]) ).
fof(f8095,plain,
( xp = sdtasdt0(sz10,sK2(sz10,xp))
| ~ aNaturalNumber0(sz10)
| ~ spl4_1
| ~ spl4_274 ),
inference(subsumption_resolution,[],[f8092,f192]) ).
fof(f8092,plain,
( xp = sdtasdt0(sz10,sK2(sz10,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz10)
| ~ spl4_274 ),
inference(resolution,[],[f7834,f169]) ).
fof(f7834,plain,
( doDivides0(sz10,xp)
| ~ spl4_274 ),
inference(avatar_component_clause,[],[f7832]) ).
fof(f10008,plain,
( spl4_373
| ~ spl4_5
| ~ spl4_9
| ~ spl4_273 ),
inference(avatar_split_clause,[],[f8090,f7827,f230,f210,f10005]) ).
fof(f10005,plain,
( spl4_373
<=> xn = sdtasdt0(sz10,sK2(sz10,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_373])]) ).
fof(f7827,plain,
( spl4_273
<=> doDivides0(sz10,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_273])]) ).
fof(f8090,plain,
( xn = sdtasdt0(sz10,sK2(sz10,xn))
| ~ spl4_5
| ~ spl4_9
| ~ spl4_273 ),
inference(subsumption_resolution,[],[f8089,f232]) ).
fof(f8089,plain,
( xn = sdtasdt0(sz10,sK2(sz10,xn))
| ~ aNaturalNumber0(sz10)
| ~ spl4_5
| ~ spl4_273 ),
inference(subsumption_resolution,[],[f8086,f212]) ).
fof(f8086,plain,
( xn = sdtasdt0(sz10,sK2(sz10,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz10)
| ~ spl4_273 ),
inference(resolution,[],[f7829,f169]) ).
fof(f7829,plain,
( doDivides0(sz10,xn)
| ~ spl4_273 ),
inference(avatar_component_clause,[],[f7827]) ).
fof(f10003,plain,
( spl4_372
| ~ spl4_4
| ~ spl4_9
| ~ spl4_272 ),
inference(avatar_split_clause,[],[f8084,f7822,f230,f205,f10000]) ).
fof(f10000,plain,
( spl4_372
<=> xm = sdtasdt0(sz10,sK2(sz10,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_372])]) ).
fof(f7822,plain,
( spl4_272
<=> doDivides0(sz10,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_272])]) ).
fof(f8084,plain,
( xm = sdtasdt0(sz10,sK2(sz10,xm))
| ~ spl4_4
| ~ spl4_9
| ~ spl4_272 ),
inference(subsumption_resolution,[],[f8083,f232]) ).
fof(f8083,plain,
( xm = sdtasdt0(sz10,sK2(sz10,xm))
| ~ aNaturalNumber0(sz10)
| ~ spl4_4
| ~ spl4_272 ),
inference(subsumption_resolution,[],[f8080,f207]) ).
fof(f8080,plain,
( xm = sdtasdt0(sz10,sK2(sz10,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz10)
| ~ spl4_272 ),
inference(resolution,[],[f7824,f169]) ).
fof(f7824,plain,
( doDivides0(sz10,xm)
| ~ spl4_272 ),
inference(avatar_component_clause,[],[f7822]) ).
fof(f9998,plain,
( spl4_371
| ~ spl4_3
| ~ spl4_9
| ~ spl4_271 ),
inference(avatar_split_clause,[],[f8078,f7817,f230,f200,f9995]) ).
fof(f9995,plain,
( spl4_371
<=> xl = sdtasdt0(sz10,sK2(sz10,xl)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_371])]) ).
fof(f7817,plain,
( spl4_271
<=> doDivides0(sz10,xl) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_271])]) ).
fof(f8078,plain,
( xl = sdtasdt0(sz10,sK2(sz10,xl))
| ~ spl4_3
| ~ spl4_9
| ~ spl4_271 ),
inference(subsumption_resolution,[],[f8077,f232]) ).
fof(f8077,plain,
( xl = sdtasdt0(sz10,sK2(sz10,xl))
| ~ aNaturalNumber0(sz10)
| ~ spl4_3
| ~ spl4_271 ),
inference(subsumption_resolution,[],[f8074,f202]) ).
fof(f8074,plain,
( xl = sdtasdt0(sz10,sK2(sz10,xl))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sz10)
| ~ spl4_271 ),
inference(resolution,[],[f7819,f169]) ).
fof(f7819,plain,
( doDivides0(sz10,xl)
| ~ spl4_271 ),
inference(avatar_component_clause,[],[f7817]) ).
fof(f9993,plain,
( spl4_370
| ~ spl4_8
| ~ spl4_270 ),
inference(avatar_split_clause,[],[f8072,f7806,f225,f9990]) ).
fof(f9990,plain,
( spl4_370
<=> sz00 = sdtasdt0(sz00,sK2(sz00,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_370])]) ).
fof(f7806,plain,
( spl4_270
<=> doDivides0(sz00,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_270])]) ).
fof(f8072,plain,
( sz00 = sdtasdt0(sz00,sK2(sz00,sz00))
| ~ spl4_8
| ~ spl4_270 ),
inference(subsumption_resolution,[],[f8070,f227]) ).
fof(f8070,plain,
( sz00 = sdtasdt0(sz00,sK2(sz00,sz00))
| ~ aNaturalNumber0(sz00)
| ~ spl4_270 ),
inference(duplicate_literal_removal,[],[f8069]) ).
fof(f8069,plain,
( sz00 = sdtasdt0(sz00,sK2(sz00,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz00)
| ~ spl4_270 ),
inference(resolution,[],[f7808,f169]) ).
fof(f7808,plain,
( doDivides0(sz00,sz00)
| ~ spl4_270 ),
inference(avatar_component_clause,[],[f7806]) ).
fof(f9964,plain,
( spl4_369
| ~ spl4_9 ),
inference(avatar_split_clause,[],[f7837,f230,f9961]) ).
fof(f9961,plain,
( spl4_369
<=> sz10 = sdtpldt0(sz10,sK3(sz10,sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_369])]) ).
fof(f7837,plain,
( sz10 = sdtpldt0(sz10,sK3(sz10,sz10))
| ~ spl4_9 ),
inference(resolution,[],[f1613,f232]) ).
fof(f9764,plain,
( spl4_368
| ~ spl4_64
| ~ spl4_208
| ~ spl4_209 ),
inference(avatar_split_clause,[],[f9732,f5897,f5893,f609,f9761]) ).
fof(f9761,plain,
( spl4_368
<=> sz00 = sdtasdt0(sdtpldt0(sz00,sdtpldt0(xm,xn)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_368])]) ).
fof(f9732,plain,
( sz00 = sdtasdt0(sdtpldt0(sz00,sdtpldt0(xm,xn)),sz00)
| ~ spl4_64
| ~ spl4_208
| ~ spl4_209 ),
inference(resolution,[],[f9726,f611]) ).
fof(f9726,plain,
( ! [X19] :
( ~ aNaturalNumber0(X19)
| sz00 = sdtasdt0(sdtpldt0(sz00,X19),sz00) )
| ~ spl4_208
| ~ spl4_209 ),
inference(forward_demodulation,[],[f9721,f5899]) ).
fof(f9721,plain,
( ! [X19] :
( ~ aNaturalNumber0(X19)
| sz00 = sdtasdt0(sdtpldt0(sK2(xq,sz00),X19),sz00) )
| ~ spl4_208 ),
inference(resolution,[],[f530,f5894]) ).
fof(f9684,plain,
( ~ spl4_367
| ~ spl4_3
| ~ spl4_4
| spl4_11
| ~ spl4_12
| ~ spl4_15
| spl4_185
| ~ spl4_355 ),
inference(avatar_split_clause,[],[f9488,f9392,f4741,f260,f245,f240,f205,f200,f9680]) ).
fof(f9680,plain,
( spl4_367
<=> xp = sK2(xl,sdtpldt0(xm,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_367])]) ).
fof(f9392,plain,
( spl4_355
<=> sdtpldt0(xm,xn) = sdtasdt0(xl,sK2(xl,sdtpldt0(xm,xn))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_355])]) ).
fof(f9488,plain,
( xp != sK2(xl,sdtpldt0(xm,xn))
| ~ spl4_3
| ~ spl4_4
| spl4_11
| ~ spl4_12
| ~ spl4_15
| spl4_185
| ~ spl4_355 ),
inference(subsumption_resolution,[],[f9472,f4742]) ).
fof(f9472,plain,
( xm = sdtpldt0(xm,xn)
| xp != sK2(xl,sdtpldt0(xm,xn))
| ~ spl4_3
| ~ spl4_4
| spl4_11
| ~ spl4_12
| ~ spl4_15
| ~ spl4_355 ),
inference(superposition,[],[f4694,f9394]) ).
fof(f9394,plain,
( sdtpldt0(xm,xn) = sdtasdt0(xl,sK2(xl,sdtpldt0(xm,xn)))
| ~ spl4_355 ),
inference(avatar_component_clause,[],[f9392]) ).
fof(f9683,plain,
( ~ spl4_367
| ~ spl4_3
| ~ spl4_4
| spl4_11
| ~ spl4_12
| ~ spl4_15
| spl4_185
| ~ spl4_355 ),
inference(avatar_split_clause,[],[f9487,f9392,f4741,f260,f245,f240,f205,f200,f9680]) ).
fof(f9487,plain,
( xp != sK2(xl,sdtpldt0(xm,xn))
| ~ spl4_3
| ~ spl4_4
| spl4_11
| ~ spl4_12
| ~ spl4_15
| spl4_185
| ~ spl4_355 ),
inference(subsumption_resolution,[],[f9470,f4742]) ).
fof(f9470,plain,
( xm = sdtpldt0(xm,xn)
| xp != sK2(xl,sdtpldt0(xm,xn))
| ~ spl4_3
| ~ spl4_4
| spl4_11
| ~ spl4_12
| ~ spl4_15
| ~ spl4_355 ),
inference(superposition,[],[f9394,f4694]) ).
fof(f9677,plain,
( spl4_366
| ~ spl4_7 ),
inference(avatar_split_clause,[],[f7846,f220,f9674]) ).
fof(f9674,plain,
( spl4_366
<=> sK0 = sdtpldt0(sK0,sK3(sK0,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_366])]) ).
fof(f7846,plain,
( sK0 = sdtpldt0(sK0,sK3(sK0,sK0))
| ~ spl4_7 ),
inference(resolution,[],[f1613,f222]) ).
fof(f9656,plain,
( spl4_365
| ~ spl4_64
| ~ spl4_208
| ~ spl4_209 ),
inference(avatar_split_clause,[],[f9624,f5897,f5893,f609,f9653]) ).
fof(f9653,plain,
( spl4_365
<=> sz00 = sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,xn))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_365])]) ).
fof(f9624,plain,
( sz00 = sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,xn)))
| ~ spl4_64
| ~ spl4_208
| ~ spl4_209 ),
inference(resolution,[],[f9618,f611]) ).
fof(f9618,plain,
( ! [X19] :
( ~ aNaturalNumber0(X19)
| sz00 = sdtasdt0(sz00,sdtpldt0(sz00,X19)) )
| ~ spl4_208
| ~ spl4_209 ),
inference(forward_demodulation,[],[f9613,f5899]) ).
fof(f9613,plain,
( ! [X19] :
( ~ aNaturalNumber0(X19)
| sz00 = sdtasdt0(sz00,sdtpldt0(sK2(xq,sz00),X19)) )
| ~ spl4_208 ),
inference(resolution,[],[f529,f5894]) ).
fof(f9599,plain,
( spl4_364
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f7845,f195,f9596]) ).
fof(f9596,plain,
( spl4_364
<=> xq = sdtpldt0(xq,sK3(xq,xq)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_364])]) ).
fof(f9594,plain,
( spl4_363
| ~ spl4_1 ),
inference(avatar_split_clause,[],[f7844,f190,f9591]) ).
fof(f9591,plain,
( spl4_363
<=> xp = sdtpldt0(xp,sK3(xp,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_363])]) ).
fof(f9589,plain,
( spl4_362
| ~ spl4_5 ),
inference(avatar_split_clause,[],[f7843,f210,f9586]) ).
fof(f9586,plain,
( spl4_362
<=> xn = sdtpldt0(xn,sK3(xn,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_362])]) ).
fof(f7843,plain,
( xn = sdtpldt0(xn,sK3(xn,xn))
| ~ spl4_5 ),
inference(resolution,[],[f1613,f212]) ).
fof(f9584,plain,
( spl4_361
| ~ spl4_4 ),
inference(avatar_split_clause,[],[f7842,f205,f9581]) ).
fof(f9581,plain,
( spl4_361
<=> xm = sdtpldt0(xm,sK3(xm,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_361])]) ).
fof(f9579,plain,
( spl4_360
| ~ spl4_3 ),
inference(avatar_split_clause,[],[f7841,f200,f9576]) ).
fof(f9576,plain,
( spl4_360
<=> xl = sdtpldt0(xl,sK3(xl,xl)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_360])]) ).
fof(f9569,plain,
( spl4_359
| ~ spl4_2
| ~ spl4_7
| ~ spl4_250 ),
inference(avatar_split_clause,[],[f9550,f7000,f220,f195,f9566]) ).
fof(f7000,plain,
( spl4_250
<=> sdtasdt0(sK0,xq) = sdtasdt0(xq,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_250])]) ).
fof(f9550,plain,
( doDivides0(sK0,sdtasdt0(xq,sK0))
| ~ spl4_2
| ~ spl4_7
| ~ spl4_250 ),
inference(subsumption_resolution,[],[f9549,f222]) ).
fof(f9549,plain,
( doDivides0(sK0,sdtasdt0(xq,sK0))
| ~ aNaturalNumber0(sK0)
| ~ spl4_2
| ~ spl4_250 ),
inference(subsumption_resolution,[],[f9517,f197]) ).
fof(f9517,plain,
( doDivides0(sK0,sdtasdt0(xq,sK0))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK0)
| ~ spl4_250 ),
inference(superposition,[],[f1567,f7002]) ).
fof(f7002,plain,
( sdtasdt0(sK0,xq) = sdtasdt0(xq,sK0)
| ~ spl4_250 ),
inference(avatar_component_clause,[],[f7000]) ).
fof(f9558,plain,
( spl4_358
| ~ spl4_2
| ~ spl4_7
| spl4_102
| ~ spl4_250 ),
inference(avatar_split_clause,[],[f9534,f7000,f1049,f220,f195,f9555]) ).
fof(f9534,plain,
( sdtlseqdt0(sK0,sdtasdt0(xq,sK0))
| ~ spl4_2
| ~ spl4_7
| spl4_102
| ~ spl4_250 ),
inference(subsumption_resolution,[],[f9533,f197]) ).
fof(f9533,plain,
( sdtlseqdt0(sK0,sdtasdt0(xq,sK0))
| ~ aNaturalNumber0(xq)
| ~ spl4_7
| spl4_102
| ~ spl4_250 ),
inference(subsumption_resolution,[],[f9532,f222]) ).
fof(f9532,plain,
( sdtlseqdt0(sK0,sdtasdt0(xq,sK0))
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xq)
| spl4_102
| ~ spl4_250 ),
inference(subsumption_resolution,[],[f9510,f1051]) ).
fof(f9510,plain,
( sdtlseqdt0(sK0,sdtasdt0(xq,sK0))
| sz00 = xq
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xq)
| ~ spl4_250 ),
inference(superposition,[],[f152,f7002]) ).
fof(f9455,plain,
( spl4_357
| ~ spl4_1
| ~ spl4_7
| ~ spl4_248 ),
inference(avatar_split_clause,[],[f9442,f6964,f220,f190,f9452]) ).
fof(f9452,plain,
( spl4_357
<=> doDivides0(sK0,sdtasdt0(xp,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_357])]) ).
fof(f6964,plain,
( spl4_248
<=> sdtasdt0(sK0,xp) = sdtasdt0(xp,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_248])]) ).
fof(f9442,plain,
( doDivides0(sK0,sdtasdt0(xp,sK0))
| ~ spl4_1
| ~ spl4_7
| ~ spl4_248 ),
inference(subsumption_resolution,[],[f9441,f222]) ).
fof(f9441,plain,
( doDivides0(sK0,sdtasdt0(xp,sK0))
| ~ aNaturalNumber0(sK0)
| ~ spl4_1
| ~ spl4_248 ),
inference(subsumption_resolution,[],[f9409,f192]) ).
fof(f9409,plain,
( doDivides0(sK0,sdtasdt0(xp,sK0))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK0)
| ~ spl4_248 ),
inference(superposition,[],[f1567,f6966]) ).
fof(f6966,plain,
( sdtasdt0(sK0,xp) = sdtasdt0(xp,sK0)
| ~ spl4_248 ),
inference(avatar_component_clause,[],[f6964]) ).
fof(f9450,plain,
( spl4_356
| ~ spl4_1
| ~ spl4_7
| spl4_98
| ~ spl4_248 ),
inference(avatar_split_clause,[],[f9426,f6964,f997,f220,f190,f9447]) ).
fof(f9447,plain,
( spl4_356
<=> sdtlseqdt0(sK0,sdtasdt0(xp,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_356])]) ).
fof(f9426,plain,
( sdtlseqdt0(sK0,sdtasdt0(xp,sK0))
| ~ spl4_1
| ~ spl4_7
| spl4_98
| ~ spl4_248 ),
inference(subsumption_resolution,[],[f9425,f192]) ).
fof(f9425,plain,
( sdtlseqdt0(sK0,sdtasdt0(xp,sK0))
| ~ aNaturalNumber0(xp)
| ~ spl4_7
| spl4_98
| ~ spl4_248 ),
inference(subsumption_resolution,[],[f9424,f222]) ).
fof(f9424,plain,
( sdtlseqdt0(sK0,sdtasdt0(xp,sK0))
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xp)
| spl4_98
| ~ spl4_248 ),
inference(subsumption_resolution,[],[f9402,f998]) ).
fof(f9402,plain,
( sdtlseqdt0(sK0,sdtasdt0(xp,sK0))
| sz00 = xp
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xp)
| ~ spl4_248 ),
inference(superposition,[],[f152,f6966]) ).
fof(f9395,plain,
( spl4_355
| ~ spl4_3
| ~ spl4_17
| ~ spl4_64 ),
inference(avatar_split_clause,[],[f1433,f609,f270,f200,f9392]) ).
fof(f9380,plain,
( spl4_354
| ~ spl4_1
| ~ spl4_2
| ~ spl4_247 ),
inference(avatar_split_clause,[],[f9362,f6959,f195,f190,f9377]) ).
fof(f9377,plain,
( spl4_354
<=> doDivides0(xq,sdtasdt0(xp,xq)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_354])]) ).
fof(f9362,plain,
( doDivides0(xq,sdtasdt0(xp,xq))
| ~ spl4_1
| ~ spl4_2
| ~ spl4_247 ),
inference(subsumption_resolution,[],[f9361,f197]) ).
fof(f9361,plain,
( doDivides0(xq,sdtasdt0(xp,xq))
| ~ aNaturalNumber0(xq)
| ~ spl4_1
| ~ spl4_247 ),
inference(subsumption_resolution,[],[f9328,f192]) ).
fof(f9328,plain,
( doDivides0(xq,sdtasdt0(xp,xq))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xq)
| ~ spl4_247 ),
inference(superposition,[],[f1567,f6961]) ).
fof(f9375,plain,
( spl4_353
| ~ spl4_1
| ~ spl4_2
| spl4_98
| ~ spl4_247 ),
inference(avatar_split_clause,[],[f9346,f6959,f997,f195,f190,f9372]) ).
fof(f9372,plain,
( spl4_353
<=> sdtlseqdt0(xq,sdtasdt0(xp,xq)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_353])]) ).
fof(f9346,plain,
( sdtlseqdt0(xq,sdtasdt0(xp,xq))
| ~ spl4_1
| ~ spl4_2
| spl4_98
| ~ spl4_247 ),
inference(subsumption_resolution,[],[f9345,f192]) ).
fof(f9345,plain,
( sdtlseqdt0(xq,sdtasdt0(xp,xq))
| ~ aNaturalNumber0(xp)
| ~ spl4_2
| spl4_98
| ~ spl4_247 ),
inference(subsumption_resolution,[],[f9344,f197]) ).
fof(f9344,plain,
( sdtlseqdt0(xq,sdtasdt0(xp,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| spl4_98
| ~ spl4_247 ),
inference(subsumption_resolution,[],[f9321,f998]) ).
fof(f9321,plain,
( sdtlseqdt0(xq,sdtasdt0(xp,xq))
| sz00 = xp
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ spl4_247 ),
inference(superposition,[],[f152,f6961]) ).
fof(f9370,plain,
( ~ spl4_352
| ~ spl4_1
| ~ spl4_2
| ~ spl4_3
| ~ spl4_14
| spl4_98
| spl4_103
| ~ spl4_247 ),
inference(avatar_split_clause,[],[f9331,f6959,f1124,f997,f255,f200,f195,f190,f9367]) ).
fof(f9367,plain,
( spl4_352
<=> xm = sdtasdt0(xp,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_352])]) ).
fof(f1124,plain,
( spl4_103
<=> xl = xq ),
introduced(avatar_definition,[new_symbols(naming,[spl4_103])]) ).
fof(f9331,plain,
( xm != sdtasdt0(xp,xq)
| ~ spl4_1
| ~ spl4_2
| ~ spl4_3
| ~ spl4_14
| spl4_98
| spl4_103
| ~ spl4_247 ),
inference(subsumption_resolution,[],[f9330,f197]) ).
fof(f9330,plain,
( xm != sdtasdt0(xp,xq)
| ~ aNaturalNumber0(xq)
| ~ spl4_1
| ~ spl4_3
| ~ spl4_14
| spl4_98
| spl4_103
| ~ spl4_247 ),
inference(subsumption_resolution,[],[f9315,f1126]) ).
fof(f1126,plain,
( xl != xq
| spl4_103 ),
inference(avatar_component_clause,[],[f1124]) ).
fof(f9315,plain,
( xm != sdtasdt0(xp,xq)
| xl = xq
| ~ aNaturalNumber0(xq)
| ~ spl4_1
| ~ spl4_3
| ~ spl4_14
| spl4_98
| ~ spl4_247 ),
inference(superposition,[],[f3390,f6961]) ).
fof(f3390,plain,
( ! [X22] :
( xm != sdtasdt0(X22,xp)
| xl = X22
| ~ aNaturalNumber0(X22) )
| ~ spl4_1
| ~ spl4_3
| ~ spl4_14
| spl4_98 ),
inference(subsumption_resolution,[],[f3389,f192]) ).
fof(f3389,plain,
( ! [X22] :
( xm != sdtasdt0(X22,xp)
| xl = X22
| ~ aNaturalNumber0(X22)
| ~ aNaturalNumber0(xp) )
| ~ spl4_3
| ~ spl4_14
| spl4_98 ),
inference(subsumption_resolution,[],[f3388,f998]) ).
fof(f3388,plain,
( ! [X22] :
( xm != sdtasdt0(X22,xp)
| xl = X22
| ~ aNaturalNumber0(X22)
| sz00 = xp
| ~ aNaturalNumber0(xp) )
| ~ spl4_3
| ~ spl4_14 ),
inference(subsumption_resolution,[],[f3302,f202]) ).
fof(f3302,plain,
( ! [X22] :
( xm != sdtasdt0(X22,xp)
| xl = X22
| ~ aNaturalNumber0(X22)
| ~ aNaturalNumber0(xl)
| sz00 = xp
| ~ aNaturalNumber0(xp) )
| ~ spl4_14 ),
inference(superposition,[],[f145,f257]) ).
fof(f9302,plain,
( spl4_351
| ~ spl4_5
| ~ spl4_7
| ~ spl4_245 ),
inference(avatar_split_clause,[],[f9288,f6879,f220,f210,f9299]) ).
fof(f9299,plain,
( spl4_351
<=> doDivides0(sK0,sdtasdt0(xn,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_351])]) ).
fof(f6879,plain,
( spl4_245
<=> sdtasdt0(sK0,xn) = sdtasdt0(xn,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_245])]) ).
fof(f9288,plain,
( doDivides0(sK0,sdtasdt0(xn,sK0))
| ~ spl4_5
| ~ spl4_7
| ~ spl4_245 ),
inference(subsumption_resolution,[],[f9287,f222]) ).
fof(f9287,plain,
( doDivides0(sK0,sdtasdt0(xn,sK0))
| ~ aNaturalNumber0(sK0)
| ~ spl4_5
| ~ spl4_245 ),
inference(subsumption_resolution,[],[f9256,f212]) ).
fof(f9256,plain,
( doDivides0(sK0,sdtasdt0(xn,sK0))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0)
| ~ spl4_245 ),
inference(superposition,[],[f1567,f6881]) ).
fof(f6881,plain,
( sdtasdt0(sK0,xn) = sdtasdt0(xn,sK0)
| ~ spl4_245 ),
inference(avatar_component_clause,[],[f6879]) ).
fof(f9296,plain,
( spl4_350
| ~ spl4_5
| ~ spl4_7
| spl4_115
| ~ spl4_245 ),
inference(avatar_split_clause,[],[f9272,f6879,f1313,f220,f210,f9293]) ).
fof(f9293,plain,
( spl4_350
<=> sdtlseqdt0(sK0,sdtasdt0(xn,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_350])]) ).
fof(f9272,plain,
( sdtlseqdt0(sK0,sdtasdt0(xn,sK0))
| ~ spl4_5
| ~ spl4_7
| spl4_115
| ~ spl4_245 ),
inference(subsumption_resolution,[],[f9271,f212]) ).
fof(f9271,plain,
( sdtlseqdt0(sK0,sdtasdt0(xn,sK0))
| ~ aNaturalNumber0(xn)
| ~ spl4_7
| spl4_115
| ~ spl4_245 ),
inference(subsumption_resolution,[],[f9270,f222]) ).
fof(f9270,plain,
( sdtlseqdt0(sK0,sdtasdt0(xn,sK0))
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xn)
| spl4_115
| ~ spl4_245 ),
inference(subsumption_resolution,[],[f9249,f1314]) ).
fof(f9249,plain,
( sdtlseqdt0(sK0,sdtasdt0(xn,sK0))
| sz00 = xn
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xn)
| ~ spl4_245 ),
inference(superposition,[],[f152,f6881]) ).
fof(f9233,plain,
( spl4_349
| ~ spl4_2
| ~ spl4_5
| ~ spl4_244 ),
inference(avatar_split_clause,[],[f9220,f6874,f210,f195,f9230]) ).
fof(f9230,plain,
( spl4_349
<=> doDivides0(xq,sdtasdt0(xn,xq)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_349])]) ).
fof(f9220,plain,
( doDivides0(xq,sdtasdt0(xn,xq))
| ~ spl4_2
| ~ spl4_5
| ~ spl4_244 ),
inference(subsumption_resolution,[],[f9219,f197]) ).
fof(f9219,plain,
( doDivides0(xq,sdtasdt0(xn,xq))
| ~ aNaturalNumber0(xq)
| ~ spl4_5
| ~ spl4_244 ),
inference(subsumption_resolution,[],[f9188,f212]) ).
fof(f9188,plain,
( doDivides0(xq,sdtasdt0(xn,xq))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xq)
| ~ spl4_244 ),
inference(superposition,[],[f1567,f6876]) ).
fof(f9228,plain,
( spl4_348
| ~ spl4_2
| ~ spl4_5
| spl4_115
| ~ spl4_244 ),
inference(avatar_split_clause,[],[f9204,f6874,f1313,f210,f195,f9225]) ).
fof(f9225,plain,
( spl4_348
<=> sdtlseqdt0(xq,sdtasdt0(xn,xq)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_348])]) ).
fof(f9204,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,xq))
| ~ spl4_2
| ~ spl4_5
| spl4_115
| ~ spl4_244 ),
inference(subsumption_resolution,[],[f9203,f212]) ).
fof(f9203,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,xq))
| ~ aNaturalNumber0(xn)
| ~ spl4_2
| spl4_115
| ~ spl4_244 ),
inference(subsumption_resolution,[],[f9202,f197]) ).
fof(f9202,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn)
| spl4_115
| ~ spl4_244 ),
inference(subsumption_resolution,[],[f9181,f1314]) ).
fof(f9181,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,xq))
| sz00 = xn
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn)
| ~ spl4_244 ),
inference(superposition,[],[f152,f6876]) ).
fof(f9164,plain,
( spl4_347
| ~ spl4_1
| ~ spl4_5
| ~ spl4_243 ),
inference(avatar_split_clause,[],[f9150,f6869,f210,f190,f9161]) ).
fof(f9161,plain,
( spl4_347
<=> doDivides0(xp,sdtasdt0(xn,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_347])]) ).
fof(f9150,plain,
( doDivides0(xp,sdtasdt0(xn,xp))
| ~ spl4_1
| ~ spl4_5
| ~ spl4_243 ),
inference(subsumption_resolution,[],[f9149,f192]) ).
fof(f9149,plain,
( doDivides0(xp,sdtasdt0(xn,xp))
| ~ aNaturalNumber0(xp)
| ~ spl4_5
| ~ spl4_243 ),
inference(subsumption_resolution,[],[f9118,f212]) ).
fof(f9118,plain,
( doDivides0(xp,sdtasdt0(xn,xp))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xp)
| ~ spl4_243 ),
inference(superposition,[],[f1567,f6871]) ).
fof(f9159,plain,
( spl4_346
| ~ spl4_1
| ~ spl4_5
| spl4_115
| ~ spl4_243 ),
inference(avatar_split_clause,[],[f9134,f6869,f1313,f210,f190,f9156]) ).
fof(f9134,plain,
( sdtlseqdt0(xp,sdtasdt0(xn,xp))
| ~ spl4_1
| ~ spl4_5
| spl4_115
| ~ spl4_243 ),
inference(subsumption_resolution,[],[f9133,f212]) ).
fof(f9133,plain,
( sdtlseqdt0(xp,sdtasdt0(xn,xp))
| ~ aNaturalNumber0(xn)
| ~ spl4_1
| spl4_115
| ~ spl4_243 ),
inference(subsumption_resolution,[],[f9132,f192]) ).
fof(f9132,plain,
( sdtlseqdt0(xp,sdtasdt0(xn,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| spl4_115
| ~ spl4_243 ),
inference(subsumption_resolution,[],[f9111,f1314]) ).
fof(f9111,plain,
( sdtlseqdt0(xp,sdtasdt0(xn,xp))
| sz00 = xn
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ spl4_243 ),
inference(superposition,[],[f152,f6871]) ).
fof(f9104,plain,
( spl4_250
| ~ spl4_2
| ~ spl4_7 ),
inference(avatar_split_clause,[],[f6853,f220,f195,f7000]) ).
fof(f6853,plain,
( sdtasdt0(sK0,xq) = sdtasdt0(xq,sK0)
| ~ spl4_2
| ~ spl4_7 ),
inference(resolution,[],[f789,f197]) ).
fof(f789,plain,
( ! [X14] :
( ~ aNaturalNumber0(X14)
| sdtasdt0(X14,sK0) = sdtasdt0(sK0,X14) )
| ~ spl4_7 ),
inference(resolution,[],[f149,f222]) ).
fof(f9103,plain,
( spl4_248
| ~ spl4_1
| ~ spl4_7 ),
inference(avatar_split_clause,[],[f6852,f220,f190,f6964]) ).
fof(f6852,plain,
( sdtasdt0(sK0,xp) = sdtasdt0(xp,sK0)
| ~ spl4_1
| ~ spl4_7 ),
inference(resolution,[],[f789,f192]) ).
fof(f9102,plain,
( ~ spl4_345
| ~ spl4_3
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64
| ~ spl4_151
| spl4_185 ),
inference(avatar_split_clause,[],[f9066,f4741,f2651,f609,f280,f270,f240,f200,f9098]) ).
fof(f9098,plain,
( spl4_345
<=> xq = sK2(xl,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_345])]) ).
fof(f2651,plain,
( spl4_151
<=> xm = sdtasdt0(xl,sK2(xl,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_151])]) ).
fof(f9066,plain,
( xq != sK2(xl,xm)
| ~ spl4_3
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64
| ~ spl4_151
| spl4_185 ),
inference(subsumption_resolution,[],[f9040,f4742]) ).
fof(f9040,plain,
( xm = sdtpldt0(xm,xn)
| xq != sK2(xl,xm)
| ~ spl4_3
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64
| ~ spl4_151 ),
inference(superposition,[],[f2653,f4698]) ).
fof(f2653,plain,
( xm = sdtasdt0(xl,sK2(xl,xm))
| ~ spl4_151 ),
inference(avatar_component_clause,[],[f2651]) ).
fof(f9101,plain,
( ~ spl4_345
| ~ spl4_3
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64
| ~ spl4_151
| spl4_185 ),
inference(avatar_split_clause,[],[f9062,f4741,f2651,f609,f280,f270,f240,f200,f9098]) ).
fof(f9062,plain,
( xq != sK2(xl,xm)
| ~ spl4_3
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64
| ~ spl4_151
| spl4_185 ),
inference(subsumption_resolution,[],[f9026,f4742]) ).
fof(f9026,plain,
( xm = sdtpldt0(xm,xn)
| xq != sK2(xl,xm)
| ~ spl4_3
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64
| ~ spl4_151 ),
inference(superposition,[],[f4698,f2653]) ).
fof(f9096,plain,
( ~ spl4_344
| ~ spl4_3
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64
| spl4_127
| ~ spl4_159 ),
inference(avatar_split_clause,[],[f9067,f2834,f1858,f609,f280,f270,f240,f200,f9092]) ).
fof(f9092,plain,
( spl4_344
<=> xq = sK2(xl,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_344])]) ).
fof(f1858,plain,
( spl4_127
<=> sz00 = sdtpldt0(xm,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_127])]) ).
fof(f2834,plain,
( spl4_159
<=> sz00 = sdtasdt0(xl,sK2(xl,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_159])]) ).
fof(f9067,plain,
( xq != sK2(xl,sz00)
| ~ spl4_3
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64
| spl4_127
| ~ spl4_159 ),
inference(subsumption_resolution,[],[f9041,f1860]) ).
fof(f1860,plain,
( sz00 != sdtpldt0(xm,xn)
| spl4_127 ),
inference(avatar_component_clause,[],[f1858]) ).
fof(f9041,plain,
( sz00 = sdtpldt0(xm,xn)
| xq != sK2(xl,sz00)
| ~ spl4_3
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64
| ~ spl4_159 ),
inference(superposition,[],[f2836,f4698]) ).
fof(f2836,plain,
( sz00 = sdtasdt0(xl,sK2(xl,sz00))
| ~ spl4_159 ),
inference(avatar_component_clause,[],[f2834]) ).
fof(f9095,plain,
( ~ spl4_344
| ~ spl4_3
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64
| spl4_127
| ~ spl4_159 ),
inference(avatar_split_clause,[],[f9063,f2834,f1858,f609,f280,f270,f240,f200,f9092]) ).
fof(f9063,plain,
( xq != sK2(xl,sz00)
| ~ spl4_3
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64
| spl4_127
| ~ spl4_159 ),
inference(subsumption_resolution,[],[f9027,f1860]) ).
fof(f9027,plain,
( sz00 = sdtpldt0(xm,xn)
| xq != sK2(xl,sz00)
| ~ spl4_3
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64
| ~ spl4_159 ),
inference(superposition,[],[f4698,f2836]) ).
fof(f9020,plain,
( spl4_245
| ~ spl4_5
| ~ spl4_7 ),
inference(avatar_split_clause,[],[f6851,f220,f210,f6879]) ).
fof(f6851,plain,
( sdtasdt0(sK0,xn) = sdtasdt0(xn,sK0)
| ~ spl4_5
| ~ spl4_7 ),
inference(resolution,[],[f789,f212]) ).
fof(f9008,plain,
( spl4_343
| ~ spl4_4
| ~ spl4_7
| ~ spl4_241 ),
inference(avatar_split_clause,[],[f8995,f6834,f220,f205,f9005]) ).
fof(f9005,plain,
( spl4_343
<=> doDivides0(sK0,sdtasdt0(xm,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_343])]) ).
fof(f6834,plain,
( spl4_241
<=> sdtasdt0(sK0,xm) = sdtasdt0(xm,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_241])]) ).
fof(f8995,plain,
( doDivides0(sK0,sdtasdt0(xm,sK0))
| ~ spl4_4
| ~ spl4_7
| ~ spl4_241 ),
inference(subsumption_resolution,[],[f8994,f222]) ).
fof(f8994,plain,
( doDivides0(sK0,sdtasdt0(xm,sK0))
| ~ aNaturalNumber0(sK0)
| ~ spl4_4
| ~ spl4_241 ),
inference(subsumption_resolution,[],[f8963,f207]) ).
fof(f8963,plain,
( doDivides0(sK0,sdtasdt0(xm,sK0))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK0)
| ~ spl4_241 ),
inference(superposition,[],[f1567,f6836]) ).
fof(f6836,plain,
( sdtasdt0(sK0,xm) = sdtasdt0(xm,sK0)
| ~ spl4_241 ),
inference(avatar_component_clause,[],[f6834]) ).
fof(f9003,plain,
( spl4_342
| ~ spl4_4
| ~ spl4_7
| spl4_106
| ~ spl4_241 ),
inference(avatar_split_clause,[],[f8979,f6834,f1148,f220,f205,f9000]) ).
fof(f9000,plain,
( spl4_342
<=> sdtlseqdt0(sK0,sdtasdt0(xm,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_342])]) ).
fof(f8979,plain,
( sdtlseqdt0(sK0,sdtasdt0(xm,sK0))
| ~ spl4_4
| ~ spl4_7
| spl4_106
| ~ spl4_241 ),
inference(subsumption_resolution,[],[f8978,f207]) ).
fof(f8978,plain,
( sdtlseqdt0(sK0,sdtasdt0(xm,sK0))
| ~ aNaturalNumber0(xm)
| ~ spl4_7
| spl4_106
| ~ spl4_241 ),
inference(subsumption_resolution,[],[f8977,f222]) ).
fof(f8977,plain,
( sdtlseqdt0(sK0,sdtasdt0(xm,sK0))
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xm)
| spl4_106
| ~ spl4_241 ),
inference(subsumption_resolution,[],[f8956,f1149]) ).
fof(f8956,plain,
( sdtlseqdt0(sK0,sdtasdt0(xm,sK0))
| sz00 = xm
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xm)
| ~ spl4_241 ),
inference(superposition,[],[f152,f6836]) ).
fof(f8940,plain,
( spl4_341
| ~ spl4_2
| ~ spl4_4
| ~ spl4_240 ),
inference(avatar_split_clause,[],[f8926,f6829,f205,f195,f8937]) ).
fof(f8937,plain,
( spl4_341
<=> doDivides0(xq,sdtasdt0(xm,xq)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_341])]) ).
fof(f8926,plain,
( doDivides0(xq,sdtasdt0(xm,xq))
| ~ spl4_2
| ~ spl4_4
| ~ spl4_240 ),
inference(subsumption_resolution,[],[f8925,f197]) ).
fof(f8925,plain,
( doDivides0(xq,sdtasdt0(xm,xq))
| ~ aNaturalNumber0(xq)
| ~ spl4_4
| ~ spl4_240 ),
inference(subsumption_resolution,[],[f8894,f207]) ).
fof(f8894,plain,
( doDivides0(xq,sdtasdt0(xm,xq))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xq)
| ~ spl4_240 ),
inference(superposition,[],[f1567,f6831]) ).
fof(f8934,plain,
( spl4_340
| ~ spl4_2
| ~ spl4_4
| spl4_106
| ~ spl4_240 ),
inference(avatar_split_clause,[],[f8910,f6829,f1148,f205,f195,f8931]) ).
fof(f8931,plain,
( spl4_340
<=> sdtlseqdt0(xq,sdtasdt0(xm,xq)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_340])]) ).
fof(f8910,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,xq))
| ~ spl4_2
| ~ spl4_4
| spl4_106
| ~ spl4_240 ),
inference(subsumption_resolution,[],[f8909,f207]) ).
fof(f8909,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,xq))
| ~ aNaturalNumber0(xm)
| ~ spl4_2
| spl4_106
| ~ spl4_240 ),
inference(subsumption_resolution,[],[f8908,f197]) ).
fof(f8908,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm)
| spl4_106
| ~ spl4_240 ),
inference(subsumption_resolution,[],[f8887,f1149]) ).
fof(f8887,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,xq))
| sz00 = xm
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm)
| ~ spl4_240 ),
inference(superposition,[],[f152,f6831]) ).
fof(f8870,plain,
( spl4_339
| ~ spl4_1
| ~ spl4_4
| ~ spl4_239 ),
inference(avatar_split_clause,[],[f8857,f6824,f205,f190,f8867]) ).
fof(f8867,plain,
( spl4_339
<=> doDivides0(xp,sdtasdt0(xm,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_339])]) ).
fof(f8857,plain,
( doDivides0(xp,sdtasdt0(xm,xp))
| ~ spl4_1
| ~ spl4_4
| ~ spl4_239 ),
inference(subsumption_resolution,[],[f8856,f192]) ).
fof(f8856,plain,
( doDivides0(xp,sdtasdt0(xm,xp))
| ~ aNaturalNumber0(xp)
| ~ spl4_4
| ~ spl4_239 ),
inference(subsumption_resolution,[],[f8825,f207]) ).
fof(f8825,plain,
( doDivides0(xp,sdtasdt0(xm,xp))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xp)
| ~ spl4_239 ),
inference(superposition,[],[f1567,f6826]) ).
fof(f8865,plain,
( spl4_338
| ~ spl4_1
| ~ spl4_4
| spl4_106
| ~ spl4_239 ),
inference(avatar_split_clause,[],[f8841,f6824,f1148,f205,f190,f8862]) ).
fof(f8841,plain,
( sdtlseqdt0(xp,sdtasdt0(xm,xp))
| ~ spl4_1
| ~ spl4_4
| spl4_106
| ~ spl4_239 ),
inference(subsumption_resolution,[],[f8840,f207]) ).
fof(f8840,plain,
( sdtlseqdt0(xp,sdtasdt0(xm,xp))
| ~ aNaturalNumber0(xm)
| ~ spl4_1
| spl4_106
| ~ spl4_239 ),
inference(subsumption_resolution,[],[f8839,f192]) ).
fof(f8839,plain,
( sdtlseqdt0(xp,sdtasdt0(xm,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| spl4_106
| ~ spl4_239 ),
inference(subsumption_resolution,[],[f8818,f1149]) ).
fof(f8818,plain,
( sdtlseqdt0(xp,sdtasdt0(xm,xp))
| sz00 = xm
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ spl4_239 ),
inference(superposition,[],[f152,f6826]) ).
fof(f8760,plain,
( ~ spl4_8
| spl4_337 ),
inference(avatar_contradiction_clause,[],[f8759]) ).
fof(f8759,plain,
( $false
| ~ spl4_8
| spl4_337 ),
inference(subsumption_resolution,[],[f8754,f227]) ).
fof(f8754,plain,
( ~ aNaturalNumber0(sz00)
| spl4_337 ),
inference(trivial_inequality_removal,[],[f8753]) ).
fof(f8753,plain,
( sz00 != sz00
| ~ aNaturalNumber0(sz00)
| spl4_337 ),
inference(duplicate_literal_removal,[],[f8752]) ).
fof(f8752,plain,
( sz00 != sz00
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz00)
| spl4_337 ),
inference(resolution,[],[f8738,f150]) ).
fof(f8738,plain,
( ~ sdtlseqdt0(sz00,sz00)
| spl4_337 ),
inference(avatar_component_clause,[],[f8736]) ).
fof(f8758,plain,
( ~ spl4_8
| spl4_337 ),
inference(avatar_contradiction_clause,[],[f8757]) ).
fof(f8757,plain,
( $false
| ~ spl4_8
| spl4_337 ),
inference(subsumption_resolution,[],[f8749,f227]) ).
fof(f8749,plain,
( ~ aNaturalNumber0(sz00)
| spl4_337 ),
inference(resolution,[],[f8738,f135]) ).
fof(f8739,plain,
( ~ spl4_337
| ~ spl4_8
| spl4_335 ),
inference(avatar_split_clause,[],[f8734,f8724,f225,f8736]) ).
fof(f8724,plain,
( spl4_335
<=> aNaturalNumber0(sK3(sz00,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_335])]) ).
fof(f8734,plain,
( ~ sdtlseqdt0(sz00,sz00)
| ~ spl4_8
| spl4_335 ),
inference(subsumption_resolution,[],[f8733,f227]) ).
fof(f8733,plain,
( ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sz00)
| spl4_335 ),
inference(duplicate_literal_removal,[],[f8732]) ).
fof(f8732,plain,
( ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz00)
| spl4_335 ),
inference(resolution,[],[f8726,f171]) ).
fof(f8726,plain,
( ~ aNaturalNumber0(sK3(sz00,sz00))
| spl4_335 ),
inference(avatar_component_clause,[],[f8724]) ).
fof(f8731,plain,
( ~ spl4_335
| spl4_336
| ~ spl4_8
| ~ spl4_334 ),
inference(avatar_split_clause,[],[f8707,f8687,f225,f8728,f8724]) ).
fof(f8728,plain,
( spl4_336
<=> sz00 = sK3(sz00,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_336])]) ).
fof(f8687,plain,
( spl4_334
<=> sz00 = sdtpldt0(sz00,sK3(sz00,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_334])]) ).
fof(f8707,plain,
( sz00 = sK3(sz00,sz00)
| ~ aNaturalNumber0(sK3(sz00,sz00))
| ~ spl4_8
| ~ spl4_334 ),
inference(subsumption_resolution,[],[f8706,f227]) ).
fof(f8706,plain,
( sz00 = sK3(sz00,sz00)
| ~ aNaturalNumber0(sK3(sz00,sz00))
| ~ aNaturalNumber0(sz00)
| ~ spl4_334 ),
inference(trivial_inequality_removal,[],[f8693]) ).
fof(f8693,plain,
( sz00 != sz00
| sz00 = sK3(sz00,sz00)
| ~ aNaturalNumber0(sK3(sz00,sz00))
| ~ aNaturalNumber0(sz00)
| ~ spl4_334 ),
inference(superposition,[],[f157,f8689]) ).
fof(f8689,plain,
( sz00 = sdtpldt0(sz00,sK3(sz00,sz00))
| ~ spl4_334 ),
inference(avatar_component_clause,[],[f8687]) ).
fof(f8690,plain,
( spl4_334
| ~ spl4_208
| ~ spl4_209 ),
inference(avatar_split_clause,[],[f7852,f5897,f5893,f8687]) ).
fof(f7852,plain,
( sz00 = sdtpldt0(sz00,sK3(sz00,sz00))
| ~ spl4_208
| ~ spl4_209 ),
inference(forward_demodulation,[],[f7849,f5899]) ).
fof(f7849,plain,
( sK2(xq,sz00) = sdtpldt0(sK2(xq,sz00),sK3(sK2(xq,sz00),sK2(xq,sz00)))
| ~ spl4_208 ),
inference(resolution,[],[f1613,f5894]) ).
fof(f8667,plain,
( spl4_333
| ~ spl4_324
| ~ spl4_325 ),
inference(avatar_split_clause,[],[f8642,f8399,f8382,f8664]) ).
fof(f8382,plain,
( spl4_324
<=> sdtlseqdt0(sK1,sdtpldt0(xp,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_324])]) ).
fof(f8642,plain,
( sdtlseqdt0(xp,sdtpldt0(xp,xp))
| ~ spl4_324
| ~ spl4_325 ),
inference(forward_demodulation,[],[f8384,f8401]) ).
fof(f8384,plain,
( sdtlseqdt0(sK1,sdtpldt0(xp,sK1))
| ~ spl4_324 ),
inference(avatar_component_clause,[],[f8382]) ).
fof(f8662,plain,
( spl4_332
| ~ spl4_6
| ~ spl4_7
| ~ spl4_214
| ~ spl4_231
| ~ spl4_325 ),
inference(avatar_split_clause,[],[f8447,f8399,f6460,f6038,f220,f215,f8659]) ).
fof(f6038,plain,
( spl4_214
<=> sdtpldt0(sK0,xp) = sdtpldt0(xp,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_214])]) ).
fof(f6460,plain,
( spl4_231
<=> sdtpldt0(sK1,sK0) = sdtpldt0(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_231])]) ).
fof(f8447,plain,
( sdtlseqdt0(xp,sdtpldt0(xp,sK0))
| ~ spl4_6
| ~ spl4_7
| ~ spl4_214
| ~ spl4_231
| ~ spl4_325 ),
inference(forward_demodulation,[],[f8446,f6040]) ).
fof(f6040,plain,
( sdtpldt0(sK0,xp) = sdtpldt0(xp,sK0)
| ~ spl4_214 ),
inference(avatar_component_clause,[],[f6038]) ).
fof(f8446,plain,
( sdtlseqdt0(xp,sdtpldt0(sK0,xp))
| ~ spl4_6
| ~ spl4_7
| ~ spl4_231
| ~ spl4_325 ),
inference(forward_demodulation,[],[f8047,f8401]) ).
fof(f8047,plain,
( sdtlseqdt0(sK1,sdtpldt0(sK0,sK1))
| ~ spl4_6
| ~ spl4_7
| ~ spl4_231 ),
inference(subsumption_resolution,[],[f8046,f217]) ).
fof(f8046,plain,
( sdtlseqdt0(sK1,sdtpldt0(sK0,sK1))
| ~ aNaturalNumber0(sK1)
| ~ spl4_7
| ~ spl4_231 ),
inference(subsumption_resolution,[],[f7957,f222]) ).
fof(f7957,plain,
( sdtlseqdt0(sK1,sdtpldt0(sK0,sK1))
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sK1)
| ~ spl4_231 ),
inference(superposition,[],[f1772,f6462]) ).
fof(f6462,plain,
( sdtpldt0(sK1,sK0) = sdtpldt0(sK0,sK1)
| ~ spl4_231 ),
inference(avatar_component_clause,[],[f6460]) ).
fof(f8657,plain,
( spl4_331
| ~ spl4_2
| ~ spl4_6
| ~ spl4_213
| ~ spl4_218
| ~ spl4_325 ),
inference(avatar_split_clause,[],[f8445,f8399,f6059,f6033,f215,f195,f8654]) ).
fof(f6033,plain,
( spl4_213
<=> sdtpldt0(xq,xp) = sdtpldt0(xp,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_213])]) ).
fof(f6059,plain,
( spl4_218
<=> sdtpldt0(sK1,xq) = sdtpldt0(xq,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_218])]) ).
fof(f8445,plain,
( sdtlseqdt0(xp,sdtpldt0(xp,xq))
| ~ spl4_2
| ~ spl4_6
| ~ spl4_213
| ~ spl4_218
| ~ spl4_325 ),
inference(forward_demodulation,[],[f8444,f6035]) ).
fof(f6035,plain,
( sdtpldt0(xq,xp) = sdtpldt0(xp,xq)
| ~ spl4_213 ),
inference(avatar_component_clause,[],[f6033]) ).
fof(f8444,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,xp))
| ~ spl4_2
| ~ spl4_6
| ~ spl4_218
| ~ spl4_325 ),
inference(forward_demodulation,[],[f8045,f8401]) ).
fof(f8045,plain,
( sdtlseqdt0(sK1,sdtpldt0(xq,sK1))
| ~ spl4_2
| ~ spl4_6
| ~ spl4_218 ),
inference(subsumption_resolution,[],[f8044,f217]) ).
fof(f8044,plain,
( sdtlseqdt0(sK1,sdtpldt0(xq,sK1))
| ~ aNaturalNumber0(sK1)
| ~ spl4_2
| ~ spl4_218 ),
inference(subsumption_resolution,[],[f7955,f197]) ).
fof(f7955,plain,
( sdtlseqdt0(sK1,sdtpldt0(xq,sK1))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK1)
| ~ spl4_218 ),
inference(superposition,[],[f1772,f6061]) ).
fof(f6061,plain,
( sdtpldt0(sK1,xq) = sdtpldt0(xq,sK1)
| ~ spl4_218 ),
inference(avatar_component_clause,[],[f6059]) ).
fof(f8561,plain,
( ~ spl4_330
| ~ spl4_2
| ~ spl4_3
| ~ spl4_5
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64
| spl4_105
| ~ spl4_257
| ~ spl4_308 ),
inference(avatar_split_clause,[],[f8553,f8296,f7183,f1134,f609,f280,f270,f240,f210,f200,f195,f8558]) ).
fof(f8558,plain,
( spl4_330
<=> xq = sdtpldt0(xl,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_330])]) ).
fof(f1134,plain,
( spl4_105
<=> xn = xq ),
introduced(avatar_definition,[new_symbols(naming,[spl4_105])]) ).
fof(f7183,plain,
( spl4_257
<=> sdtlseqdt0(xq,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_257])]) ).
fof(f8296,plain,
( spl4_308
<=> sdtlseqdt0(xn,sdtpldt0(xl,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_308])]) ).
fof(f8553,plain,
( xq != sdtpldt0(xl,xn)
| ~ spl4_2
| ~ spl4_3
| ~ spl4_5
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64
| spl4_105
| ~ spl4_257
| ~ spl4_308 ),
inference(subsumption_resolution,[],[f8552,f1136]) ).
fof(f1136,plain,
( xn != xq
| spl4_105 ),
inference(avatar_component_clause,[],[f1134]) ).
fof(f8552,plain,
( xn = xq
| xq != sdtpldt0(xl,xn)
| ~ spl4_2
| ~ spl4_3
| ~ spl4_5
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64
| ~ spl4_257
| ~ spl4_308 ),
inference(inner_rewriting,[],[f8548]) ).
fof(f8548,plain,
( xn = sdtpldt0(xl,xn)
| xq != sdtpldt0(xl,xn)
| ~ spl4_2
| ~ spl4_3
| ~ spl4_5
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64
| ~ spl4_257
| ~ spl4_308 ),
inference(resolution,[],[f8298,f7377]) ).
fof(f7377,plain,
( ! [X3] :
( ~ sdtlseqdt0(xn,X3)
| xn = X3
| xq != X3 )
| ~ spl4_2
| ~ spl4_3
| ~ spl4_5
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64
| ~ spl4_257 ),
inference(subsumption_resolution,[],[f7376,f2717]) ).
fof(f7376,plain,
( ! [X3] :
( xq != X3
| xn = X3
| ~ sdtlseqdt0(xn,X3)
| ~ aNaturalNumber0(X3) )
| ~ spl4_2
| ~ spl4_3
| ~ spl4_5
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64
| ~ spl4_257 ),
inference(subsumption_resolution,[],[f7371,f212]) ).
fof(f7371,plain,
( ! [X3] :
( xq != X3
| xn = X3
| ~ sdtlseqdt0(xn,X3)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(xn) )
| ~ spl4_2
| ~ spl4_3
| ~ spl4_5
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64
| ~ spl4_257 ),
inference(resolution,[],[f7367,f167]) ).
fof(f7367,plain,
( ! [X4] :
( sdtlseqdt0(X4,xn)
| xq != X4 )
| ~ spl4_2
| ~ spl4_3
| ~ spl4_5
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64
| ~ spl4_257 ),
inference(subsumption_resolution,[],[f7366,f2717]) ).
fof(f7366,plain,
( ! [X4] :
( sdtlseqdt0(X4,xn)
| ~ aNaturalNumber0(X4)
| xq != X4 )
| ~ spl4_2
| ~ spl4_5
| ~ spl4_257 ),
inference(subsumption_resolution,[],[f7358,f197]) ).
fof(f7358,plain,
( ! [X4] :
( sdtlseqdt0(X4,xn)
| ~ aNaturalNumber0(X4)
| xq != X4
| ~ aNaturalNumber0(xq) )
| ~ spl4_2
| ~ spl4_5
| ~ spl4_257 ),
inference(duplicate_literal_removal,[],[f7340]) ).
fof(f7340,plain,
( ! [X4] :
( sdtlseqdt0(X4,xn)
| ~ aNaturalNumber0(X4)
| xq != X4
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X4) )
| ~ spl4_2
| ~ spl4_5
| ~ spl4_257 ),
inference(resolution,[],[f7191,f150]) ).
fof(f7191,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xq)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(X0) )
| ~ spl4_2
| ~ spl4_5
| ~ spl4_257 ),
inference(subsumption_resolution,[],[f7190,f197]) ).
fof(f7190,plain,
( ! [X0] :
( sdtlseqdt0(X0,xn)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0) )
| ~ spl4_5
| ~ spl4_257 ),
inference(subsumption_resolution,[],[f7187,f212]) ).
fof(f7187,plain,
( ! [X0] :
( sdtlseqdt0(X0,xn)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0) )
| ~ spl4_257 ),
inference(resolution,[],[f7185,f184]) ).
fof(f7185,plain,
( sdtlseqdt0(xq,xn)
| ~ spl4_257 ),
inference(avatar_component_clause,[],[f7183]) ).
fof(f8298,plain,
( sdtlseqdt0(xn,sdtpldt0(xl,xn))
| ~ spl4_308 ),
inference(avatar_component_clause,[],[f8296]) ).
fof(f8547,plain,
( ~ spl4_329
| ~ spl4_2
| ~ spl4_3
| ~ spl4_4
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64
| spl4_104
| ~ spl4_226
| ~ spl4_307 ),
inference(avatar_split_clause,[],[f8539,f8291,f6243,f1129,f609,f280,f270,f240,f205,f200,f195,f8544]) ).
fof(f8544,plain,
( spl4_329
<=> xq = sdtpldt0(xl,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_329])]) ).
fof(f1129,plain,
( spl4_104
<=> xm = xq ),
introduced(avatar_definition,[new_symbols(naming,[spl4_104])]) ).
fof(f6243,plain,
( spl4_226
<=> sdtlseqdt0(xq,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_226])]) ).
fof(f8291,plain,
( spl4_307
<=> sdtlseqdt0(xm,sdtpldt0(xl,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_307])]) ).
fof(f8539,plain,
( xq != sdtpldt0(xl,xm)
| ~ spl4_2
| ~ spl4_3
| ~ spl4_4
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64
| spl4_104
| ~ spl4_226
| ~ spl4_307 ),
inference(subsumption_resolution,[],[f8538,f1131]) ).
fof(f1131,plain,
( xm != xq
| spl4_104 ),
inference(avatar_component_clause,[],[f1129]) ).
fof(f8538,plain,
( xm = xq
| xq != sdtpldt0(xl,xm)
| ~ spl4_2
| ~ spl4_3
| ~ spl4_4
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64
| ~ spl4_226
| ~ spl4_307 ),
inference(inner_rewriting,[],[f8534]) ).
fof(f8534,plain,
( xm = sdtpldt0(xl,xm)
| xq != sdtpldt0(xl,xm)
| ~ spl4_2
| ~ spl4_3
| ~ spl4_4
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64
| ~ spl4_226
| ~ spl4_307 ),
inference(resolution,[],[f8293,f6395]) ).
fof(f6395,plain,
( ! [X3] :
( ~ sdtlseqdt0(xm,X3)
| xm = X3
| xq != X3 )
| ~ spl4_2
| ~ spl4_3
| ~ spl4_4
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64
| ~ spl4_226 ),
inference(subsumption_resolution,[],[f6394,f2717]) ).
fof(f6394,plain,
( ! [X3] :
( xq != X3
| xm = X3
| ~ sdtlseqdt0(xm,X3)
| ~ aNaturalNumber0(X3) )
| ~ spl4_2
| ~ spl4_3
| ~ spl4_4
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64
| ~ spl4_226 ),
inference(subsumption_resolution,[],[f6389,f207]) ).
fof(f6389,plain,
( ! [X3] :
( xq != X3
| xm = X3
| ~ sdtlseqdt0(xm,X3)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(xm) )
| ~ spl4_2
| ~ spl4_3
| ~ spl4_4
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64
| ~ spl4_226 ),
inference(resolution,[],[f6386,f167]) ).
fof(f6386,plain,
( ! [X4] :
( sdtlseqdt0(X4,xm)
| xq != X4 )
| ~ spl4_2
| ~ spl4_3
| ~ spl4_4
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64
| ~ spl4_226 ),
inference(subsumption_resolution,[],[f6385,f2717]) ).
fof(f6385,plain,
( ! [X4] :
( sdtlseqdt0(X4,xm)
| ~ aNaturalNumber0(X4)
| xq != X4 )
| ~ spl4_2
| ~ spl4_4
| ~ spl4_226 ),
inference(subsumption_resolution,[],[f6377,f197]) ).
fof(f6377,plain,
( ! [X4] :
( sdtlseqdt0(X4,xm)
| ~ aNaturalNumber0(X4)
| xq != X4
| ~ aNaturalNumber0(xq) )
| ~ spl4_2
| ~ spl4_4
| ~ spl4_226 ),
inference(duplicate_literal_removal,[],[f6361]) ).
fof(f6361,plain,
( ! [X4] :
( sdtlseqdt0(X4,xm)
| ~ aNaturalNumber0(X4)
| xq != X4
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X4) )
| ~ spl4_2
| ~ spl4_4
| ~ spl4_226 ),
inference(resolution,[],[f6273,f150]) ).
fof(f6273,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xq)
| sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X0) )
| ~ spl4_2
| ~ spl4_4
| ~ spl4_226 ),
inference(subsumption_resolution,[],[f6272,f197]) ).
fof(f6272,plain,
( ! [X0] :
( sdtlseqdt0(X0,xm)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0) )
| ~ spl4_4
| ~ spl4_226 ),
inference(subsumption_resolution,[],[f6269,f207]) ).
fof(f6269,plain,
( ! [X0] :
( sdtlseqdt0(X0,xm)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0) )
| ~ spl4_226 ),
inference(resolution,[],[f6245,f184]) ).
fof(f6245,plain,
( sdtlseqdt0(xq,xm)
| ~ spl4_226 ),
inference(avatar_component_clause,[],[f6243]) ).
fof(f8293,plain,
( sdtlseqdt0(xm,sdtpldt0(xl,xm))
| ~ spl4_307 ),
inference(avatar_component_clause,[],[f8291]) ).
fof(f8514,plain,
( ~ spl4_328
| ~ spl4_2
| ~ spl4_3
| ~ spl4_5
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64
| spl4_105
| ~ spl4_257
| ~ spl4_302 ),
inference(avatar_split_clause,[],[f8506,f8266,f7183,f1134,f609,f280,f270,f240,f210,f200,f195,f8511]) ).
fof(f8511,plain,
( spl4_328
<=> xq = sdtpldt0(sz10,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_328])]) ).
fof(f8266,plain,
( spl4_302
<=> sdtlseqdt0(xn,sdtpldt0(sz10,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_302])]) ).
fof(f8506,plain,
( xq != sdtpldt0(sz10,xn)
| ~ spl4_2
| ~ spl4_3
| ~ spl4_5
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64
| spl4_105
| ~ spl4_257
| ~ spl4_302 ),
inference(subsumption_resolution,[],[f8505,f1136]) ).
fof(f8505,plain,
( xn = xq
| xq != sdtpldt0(sz10,xn)
| ~ spl4_2
| ~ spl4_3
| ~ spl4_5
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64
| ~ spl4_257
| ~ spl4_302 ),
inference(inner_rewriting,[],[f8501]) ).
fof(f8501,plain,
( xn = sdtpldt0(sz10,xn)
| xq != sdtpldt0(sz10,xn)
| ~ spl4_2
| ~ spl4_3
| ~ spl4_5
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64
| ~ spl4_257
| ~ spl4_302 ),
inference(resolution,[],[f8268,f7377]) ).
fof(f8268,plain,
( sdtlseqdt0(xn,sdtpldt0(sz10,xn))
| ~ spl4_302 ),
inference(avatar_component_clause,[],[f8266]) ).
fof(f8500,plain,
( ~ spl4_327
| ~ spl4_2
| ~ spl4_3
| ~ spl4_4
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64
| spl4_104
| ~ spl4_226
| ~ spl4_301 ),
inference(avatar_split_clause,[],[f8492,f8261,f6243,f1129,f609,f280,f270,f240,f205,f200,f195,f8497]) ).
fof(f8497,plain,
( spl4_327
<=> xq = sdtpldt0(sz10,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_327])]) ).
fof(f8261,plain,
( spl4_301
<=> sdtlseqdt0(xm,sdtpldt0(sz10,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_301])]) ).
fof(f8492,plain,
( xq != sdtpldt0(sz10,xm)
| ~ spl4_2
| ~ spl4_3
| ~ spl4_4
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64
| spl4_104
| ~ spl4_226
| ~ spl4_301 ),
inference(subsumption_resolution,[],[f8491,f1131]) ).
fof(f8491,plain,
( xm = xq
| xq != sdtpldt0(sz10,xm)
| ~ spl4_2
| ~ spl4_3
| ~ spl4_4
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64
| ~ spl4_226
| ~ spl4_301 ),
inference(inner_rewriting,[],[f8487]) ).
fof(f8487,plain,
( xm = sdtpldt0(sz10,xm)
| xq != sdtpldt0(sz10,xm)
| ~ spl4_2
| ~ spl4_3
| ~ spl4_4
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64
| ~ spl4_226
| ~ spl4_301 ),
inference(resolution,[],[f8263,f6395]) ).
fof(f8263,plain,
( sdtlseqdt0(xm,sdtpldt0(sz10,xm))
| ~ spl4_301 ),
inference(avatar_component_clause,[],[f8261]) ).
fof(f8443,plain,
( spl4_326
| ~ spl4_2
| ~ spl4_7
| ~ spl4_217 ),
inference(avatar_split_clause,[],[f8043,f6054,f220,f195,f8440]) ).
fof(f6054,plain,
( spl4_217
<=> sdtpldt0(sK0,xq) = sdtpldt0(xq,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_217])]) ).
fof(f8043,plain,
( sdtlseqdt0(sK0,sdtpldt0(xq,sK0))
| ~ spl4_2
| ~ spl4_7
| ~ spl4_217 ),
inference(subsumption_resolution,[],[f8042,f222]) ).
fof(f8042,plain,
( sdtlseqdt0(sK0,sdtpldt0(xq,sK0))
| ~ aNaturalNumber0(sK0)
| ~ spl4_2
| ~ spl4_217 ),
inference(subsumption_resolution,[],[f7954,f197]) ).
fof(f7954,plain,
( sdtlseqdt0(sK0,sdtpldt0(xq,sK0))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK0)
| ~ spl4_217 ),
inference(superposition,[],[f1772,f6056]) ).
fof(f6056,plain,
( sdtpldt0(sK0,xq) = sdtpldt0(xq,sK0)
| ~ spl4_217 ),
inference(avatar_component_clause,[],[f6054]) ).
fof(f8402,plain,
( spl4_325
| ~ spl4_1
| ~ spl4_3
| ~ spl4_6
| spl4_11
| ~ spl4_14
| ~ spl4_16 ),
inference(avatar_split_clause,[],[f8397,f265,f255,f240,f215,f200,f190,f8399]) ).
fof(f265,plain,
( spl4_16
<=> xm = sdtasdt0(xl,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_16])]) ).
fof(f8397,plain,
( xp = sK1
| ~ spl4_1
| ~ spl4_3
| ~ spl4_6
| spl4_11
| ~ spl4_14
| ~ spl4_16 ),
inference(subsumption_resolution,[],[f8396,f217]) ).
fof(f8396,plain,
( xp = sK1
| ~ aNaturalNumber0(sK1)
| ~ spl4_1
| ~ spl4_3
| spl4_11
| ~ spl4_14
| ~ spl4_16 ),
inference(trivial_inequality_removal,[],[f8392]) ).
fof(f8392,plain,
( xm != xm
| xp = sK1
| ~ aNaturalNumber0(sK1)
| ~ spl4_1
| ~ spl4_3
| spl4_11
| ~ spl4_14
| ~ spl4_16 ),
inference(superposition,[],[f3171,f267]) ).
fof(f267,plain,
( xm = sdtasdt0(xl,sK1)
| ~ spl4_16 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f3171,plain,
( ! [X22] :
( xm != sdtasdt0(xl,X22)
| xp = X22
| ~ aNaturalNumber0(X22) )
| ~ spl4_1
| ~ spl4_3
| spl4_11
| ~ spl4_14 ),
inference(subsumption_resolution,[],[f3170,f202]) ).
fof(f3170,plain,
( ! [X22] :
( xm != sdtasdt0(xl,X22)
| xp = X22
| ~ aNaturalNumber0(X22)
| ~ aNaturalNumber0(xl) )
| ~ spl4_1
| spl4_11
| ~ spl4_14 ),
inference(subsumption_resolution,[],[f3169,f242]) ).
fof(f3169,plain,
( ! [X22] :
( xm != sdtasdt0(xl,X22)
| xp = X22
| ~ aNaturalNumber0(X22)
| sz00 = xl
| ~ aNaturalNumber0(xl) )
| ~ spl4_1
| ~ spl4_14 ),
inference(subsumption_resolution,[],[f3083,f192]) ).
fof(f3083,plain,
( ! [X22] :
( xm != sdtasdt0(xl,X22)
| xp = X22
| ~ aNaturalNumber0(X22)
| ~ aNaturalNumber0(xp)
| sz00 = xl
| ~ aNaturalNumber0(xl) )
| ~ spl4_14 ),
inference(superposition,[],[f144,f257]) ).
fof(f8385,plain,
( spl4_324
| ~ spl4_1
| ~ spl4_6
| ~ spl4_215 ),
inference(avatar_split_clause,[],[f8041,f6043,f215,f190,f8382]) ).
fof(f6043,plain,
( spl4_215
<=> sdtpldt0(sK1,xp) = sdtpldt0(xp,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_215])]) ).
fof(f8041,plain,
( sdtlseqdt0(sK1,sdtpldt0(xp,sK1))
| ~ spl4_1
| ~ spl4_6
| ~ spl4_215 ),
inference(subsumption_resolution,[],[f8040,f217]) ).
fof(f8040,plain,
( sdtlseqdt0(sK1,sdtpldt0(xp,sK1))
| ~ aNaturalNumber0(sK1)
| ~ spl4_1
| ~ spl4_215 ),
inference(subsumption_resolution,[],[f7952,f192]) ).
fof(f7952,plain,
( sdtlseqdt0(sK1,sdtpldt0(xp,sK1))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK1)
| ~ spl4_215 ),
inference(superposition,[],[f1772,f6045]) ).
fof(f6045,plain,
( sdtpldt0(sK1,xp) = sdtpldt0(xp,sK1)
| ~ spl4_215 ),
inference(avatar_component_clause,[],[f6043]) ).
fof(f8380,plain,
( spl4_323
| ~ spl4_1
| ~ spl4_7
| ~ spl4_214 ),
inference(avatar_split_clause,[],[f8039,f6038,f220,f190,f8377]) ).
fof(f8377,plain,
( spl4_323
<=> sdtlseqdt0(sK0,sdtpldt0(xp,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_323])]) ).
fof(f8039,plain,
( sdtlseqdt0(sK0,sdtpldt0(xp,sK0))
| ~ spl4_1
| ~ spl4_7
| ~ spl4_214 ),
inference(subsumption_resolution,[],[f8038,f222]) ).
fof(f8038,plain,
( sdtlseqdt0(sK0,sdtpldt0(xp,sK0))
| ~ aNaturalNumber0(sK0)
| ~ spl4_1
| ~ spl4_214 ),
inference(subsumption_resolution,[],[f7951,f192]) ).
fof(f7951,plain,
( sdtlseqdt0(sK0,sdtpldt0(xp,sK0))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK0)
| ~ spl4_214 ),
inference(superposition,[],[f1772,f6040]) ).
fof(f8375,plain,
( spl4_322
| ~ spl4_1
| ~ spl4_2
| ~ spl4_213 ),
inference(avatar_split_clause,[],[f8037,f6033,f195,f190,f8372]) ).
fof(f8372,plain,
( spl4_322
<=> sdtlseqdt0(xq,sdtpldt0(xp,xq)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_322])]) ).
fof(f8037,plain,
( sdtlseqdt0(xq,sdtpldt0(xp,xq))
| ~ spl4_1
| ~ spl4_2
| ~ spl4_213 ),
inference(subsumption_resolution,[],[f8036,f197]) ).
fof(f8036,plain,
( sdtlseqdt0(xq,sdtpldt0(xp,xq))
| ~ aNaturalNumber0(xq)
| ~ spl4_1
| ~ spl4_213 ),
inference(subsumption_resolution,[],[f7950,f192]) ).
fof(f7950,plain,
( sdtlseqdt0(xq,sdtpldt0(xp,xq))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xq)
| ~ spl4_213 ),
inference(superposition,[],[f1772,f6035]) ).
fof(f8370,plain,
( spl4_321
| ~ spl4_5
| ~ spl4_6
| ~ spl4_95 ),
inference(avatar_split_clause,[],[f8035,f914,f215,f210,f8367]) ).
fof(f8367,plain,
( spl4_321
<=> sdtlseqdt0(sK1,sdtpldt0(xn,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_321])]) ).
fof(f914,plain,
( spl4_95
<=> sdtpldt0(sK1,xn) = sdtpldt0(xn,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_95])]) ).
fof(f8035,plain,
( sdtlseqdt0(sK1,sdtpldt0(xn,sK1))
| ~ spl4_5
| ~ spl4_6
| ~ spl4_95 ),
inference(subsumption_resolution,[],[f8034,f217]) ).
fof(f8034,plain,
( sdtlseqdt0(sK1,sdtpldt0(xn,sK1))
| ~ aNaturalNumber0(sK1)
| ~ spl4_5
| ~ spl4_95 ),
inference(subsumption_resolution,[],[f7948,f212]) ).
fof(f7948,plain,
( sdtlseqdt0(sK1,sdtpldt0(xn,sK1))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK1)
| ~ spl4_95 ),
inference(superposition,[],[f1772,f916]) ).
fof(f916,plain,
( sdtpldt0(sK1,xn) = sdtpldt0(xn,sK1)
| ~ spl4_95 ),
inference(avatar_component_clause,[],[f914]) ).
fof(f8365,plain,
( spl4_320
| ~ spl4_5
| ~ spl4_7
| ~ spl4_94 ),
inference(avatar_split_clause,[],[f8033,f909,f220,f210,f8362]) ).
fof(f8362,plain,
( spl4_320
<=> sdtlseqdt0(sK0,sdtpldt0(xn,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_320])]) ).
fof(f909,plain,
( spl4_94
<=> sdtpldt0(sK0,xn) = sdtpldt0(xn,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_94])]) ).
fof(f8033,plain,
( sdtlseqdt0(sK0,sdtpldt0(xn,sK0))
| ~ spl4_5
| ~ spl4_7
| ~ spl4_94 ),
inference(subsumption_resolution,[],[f8032,f222]) ).
fof(f8032,plain,
( sdtlseqdt0(sK0,sdtpldt0(xn,sK0))
| ~ aNaturalNumber0(sK0)
| ~ spl4_5
| ~ spl4_94 ),
inference(subsumption_resolution,[],[f7947,f212]) ).
fof(f7947,plain,
( sdtlseqdt0(sK0,sdtpldt0(xn,sK0))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0)
| ~ spl4_94 ),
inference(superposition,[],[f1772,f911]) ).
fof(f911,plain,
( sdtpldt0(sK0,xn) = sdtpldt0(xn,sK0)
| ~ spl4_94 ),
inference(avatar_component_clause,[],[f909]) ).
fof(f8360,plain,
( spl4_319
| ~ spl4_2
| ~ spl4_5
| ~ spl4_93 ),
inference(avatar_split_clause,[],[f8031,f904,f210,f195,f8357]) ).
fof(f8357,plain,
( spl4_319
<=> sdtlseqdt0(xq,sdtpldt0(xn,xq)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_319])]) ).
fof(f904,plain,
( spl4_93
<=> sdtpldt0(xq,xn) = sdtpldt0(xn,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_93])]) ).
fof(f8031,plain,
( sdtlseqdt0(xq,sdtpldt0(xn,xq))
| ~ spl4_2
| ~ spl4_5
| ~ spl4_93 ),
inference(subsumption_resolution,[],[f8030,f197]) ).
fof(f8030,plain,
( sdtlseqdt0(xq,sdtpldt0(xn,xq))
| ~ aNaturalNumber0(xq)
| ~ spl4_5
| ~ spl4_93 ),
inference(subsumption_resolution,[],[f7946,f212]) ).
fof(f7946,plain,
( sdtlseqdt0(xq,sdtpldt0(xn,xq))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xq)
| ~ spl4_93 ),
inference(superposition,[],[f1772,f906]) ).
fof(f906,plain,
( sdtpldt0(xq,xn) = sdtpldt0(xn,xq)
| ~ spl4_93 ),
inference(avatar_component_clause,[],[f904]) ).
fof(f8355,plain,
( spl4_318
| ~ spl4_1
| ~ spl4_5
| ~ spl4_92 ),
inference(avatar_split_clause,[],[f8029,f899,f210,f190,f8352]) ).
fof(f8352,plain,
( spl4_318
<=> sdtlseqdt0(xp,sdtpldt0(xn,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_318])]) ).
fof(f899,plain,
( spl4_92
<=> sdtpldt0(xp,xn) = sdtpldt0(xn,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_92])]) ).
fof(f8029,plain,
( sdtlseqdt0(xp,sdtpldt0(xn,xp))
| ~ spl4_1
| ~ spl4_5
| ~ spl4_92 ),
inference(subsumption_resolution,[],[f8028,f192]) ).
fof(f8028,plain,
( sdtlseqdt0(xp,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(xp)
| ~ spl4_5
| ~ spl4_92 ),
inference(subsumption_resolution,[],[f7945,f212]) ).
fof(f7945,plain,
( sdtlseqdt0(xp,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xp)
| ~ spl4_92 ),
inference(superposition,[],[f1772,f901]) ).
fof(f901,plain,
( sdtpldt0(xp,xn) = sdtpldt0(xn,xp)
| ~ spl4_92 ),
inference(avatar_component_clause,[],[f899]) ).
fof(f8350,plain,
( spl4_317
| ~ spl4_4
| ~ spl4_6
| ~ spl4_89 ),
inference(avatar_split_clause,[],[f8027,f851,f215,f205,f8347]) ).
fof(f8347,plain,
( spl4_317
<=> sdtlseqdt0(sK1,sdtpldt0(xm,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_317])]) ).
fof(f851,plain,
( spl4_89
<=> sdtpldt0(sK1,xm) = sdtpldt0(xm,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_89])]) ).
fof(f8027,plain,
( sdtlseqdt0(sK1,sdtpldt0(xm,sK1))
| ~ spl4_4
| ~ spl4_6
| ~ spl4_89 ),
inference(subsumption_resolution,[],[f8026,f217]) ).
fof(f8026,plain,
( sdtlseqdt0(sK1,sdtpldt0(xm,sK1))
| ~ aNaturalNumber0(sK1)
| ~ spl4_4
| ~ spl4_89 ),
inference(subsumption_resolution,[],[f7943,f207]) ).
fof(f7943,plain,
( sdtlseqdt0(sK1,sdtpldt0(xm,sK1))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK1)
| ~ spl4_89 ),
inference(superposition,[],[f1772,f853]) ).
fof(f853,plain,
( sdtpldt0(sK1,xm) = sdtpldt0(xm,sK1)
| ~ spl4_89 ),
inference(avatar_component_clause,[],[f851]) ).
fof(f8345,plain,
( spl4_316
| ~ spl4_4
| ~ spl4_7
| ~ spl4_88 ),
inference(avatar_split_clause,[],[f8025,f846,f220,f205,f8342]) ).
fof(f8342,plain,
( spl4_316
<=> sdtlseqdt0(sK0,sdtpldt0(xm,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_316])]) ).
fof(f846,plain,
( spl4_88
<=> sdtpldt0(sK0,xm) = sdtpldt0(xm,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_88])]) ).
fof(f8025,plain,
( sdtlseqdt0(sK0,sdtpldt0(xm,sK0))
| ~ spl4_4
| ~ spl4_7
| ~ spl4_88 ),
inference(subsumption_resolution,[],[f8024,f222]) ).
fof(f8024,plain,
( sdtlseqdt0(sK0,sdtpldt0(xm,sK0))
| ~ aNaturalNumber0(sK0)
| ~ spl4_4
| ~ spl4_88 ),
inference(subsumption_resolution,[],[f7942,f207]) ).
fof(f7942,plain,
( sdtlseqdt0(sK0,sdtpldt0(xm,sK0))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK0)
| ~ spl4_88 ),
inference(superposition,[],[f1772,f848]) ).
fof(f848,plain,
( sdtpldt0(sK0,xm) = sdtpldt0(xm,sK0)
| ~ spl4_88 ),
inference(avatar_component_clause,[],[f846]) ).
fof(f8340,plain,
( spl4_315
| ~ spl4_2
| ~ spl4_4
| ~ spl4_87 ),
inference(avatar_split_clause,[],[f8023,f831,f205,f195,f8337]) ).
fof(f8337,plain,
( spl4_315
<=> sdtlseqdt0(xq,sdtpldt0(xm,xq)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_315])]) ).
fof(f831,plain,
( spl4_87
<=> sdtpldt0(xq,xm) = sdtpldt0(xm,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_87])]) ).
fof(f8023,plain,
( sdtlseqdt0(xq,sdtpldt0(xm,xq))
| ~ spl4_2
| ~ spl4_4
| ~ spl4_87 ),
inference(subsumption_resolution,[],[f8022,f197]) ).
fof(f8022,plain,
( sdtlseqdt0(xq,sdtpldt0(xm,xq))
| ~ aNaturalNumber0(xq)
| ~ spl4_4
| ~ spl4_87 ),
inference(subsumption_resolution,[],[f7941,f207]) ).
fof(f7941,plain,
( sdtlseqdt0(xq,sdtpldt0(xm,xq))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xq)
| ~ spl4_87 ),
inference(superposition,[],[f1772,f833]) ).
fof(f833,plain,
( sdtpldt0(xq,xm) = sdtpldt0(xm,xq)
| ~ spl4_87 ),
inference(avatar_component_clause,[],[f831]) ).
fof(f8335,plain,
( spl4_314
| ~ spl4_1
| ~ spl4_4
| ~ spl4_86 ),
inference(avatar_split_clause,[],[f8021,f826,f205,f190,f8332]) ).
fof(f8332,plain,
( spl4_314
<=> sdtlseqdt0(xp,sdtpldt0(xm,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_314])]) ).
fof(f826,plain,
( spl4_86
<=> sdtpldt0(xp,xm) = sdtpldt0(xm,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_86])]) ).
fof(f8021,plain,
( sdtlseqdt0(xp,sdtpldt0(xm,xp))
| ~ spl4_1
| ~ spl4_4
| ~ spl4_86 ),
inference(subsumption_resolution,[],[f8020,f192]) ).
fof(f8020,plain,
( sdtlseqdt0(xp,sdtpldt0(xm,xp))
| ~ aNaturalNumber0(xp)
| ~ spl4_4
| ~ spl4_86 ),
inference(subsumption_resolution,[],[f7940,f207]) ).
fof(f7940,plain,
( sdtlseqdt0(xp,sdtpldt0(xm,xp))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xp)
| ~ spl4_86 ),
inference(superposition,[],[f1772,f828]) ).
fof(f828,plain,
( sdtpldt0(xp,xm) = sdtpldt0(xm,xp)
| ~ spl4_86 ),
inference(avatar_component_clause,[],[f826]) ).
fof(f8324,plain,
( spl4_313
| ~ spl4_4
| ~ spl4_5
| ~ spl4_85 ),
inference(avatar_split_clause,[],[f8019,f821,f210,f205,f8321]) ).
fof(f8321,plain,
( spl4_313
<=> sdtlseqdt0(xn,sdtpldt0(xm,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_313])]) ).
fof(f821,plain,
( spl4_85
<=> sdtpldt0(xm,xn) = sdtpldt0(xn,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_85])]) ).
fof(f8019,plain,
( sdtlseqdt0(xn,sdtpldt0(xm,xn))
| ~ spl4_4
| ~ spl4_5
| ~ spl4_85 ),
inference(subsumption_resolution,[],[f8018,f212]) ).
fof(f8018,plain,
( sdtlseqdt0(xn,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xn)
| ~ spl4_4
| ~ spl4_85 ),
inference(subsumption_resolution,[],[f7939,f207]) ).
fof(f7939,plain,
( sdtlseqdt0(xn,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ spl4_85 ),
inference(superposition,[],[f1772,f823]) ).
fof(f823,plain,
( sdtpldt0(xm,xn) = sdtpldt0(xn,xm)
| ~ spl4_85 ),
inference(avatar_component_clause,[],[f821]) ).
fof(f8319,plain,
( spl4_312
| ~ spl4_3
| ~ spl4_6
| ~ spl4_82 ),
inference(avatar_split_clause,[],[f8017,f772,f215,f200,f8316]) ).
fof(f8316,plain,
( spl4_312
<=> sdtlseqdt0(sK1,sdtpldt0(xl,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_312])]) ).
fof(f772,plain,
( spl4_82
<=> sdtpldt0(sK1,xl) = sdtpldt0(xl,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_82])]) ).
fof(f8017,plain,
( sdtlseqdt0(sK1,sdtpldt0(xl,sK1))
| ~ spl4_3
| ~ spl4_6
| ~ spl4_82 ),
inference(subsumption_resolution,[],[f8016,f217]) ).
fof(f8016,plain,
( sdtlseqdt0(sK1,sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sK1)
| ~ spl4_3
| ~ spl4_82 ),
inference(subsumption_resolution,[],[f7937,f202]) ).
fof(f7937,plain,
( sdtlseqdt0(sK1,sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK1)
| ~ spl4_82 ),
inference(superposition,[],[f1772,f774]) ).
fof(f774,plain,
( sdtpldt0(sK1,xl) = sdtpldt0(xl,sK1)
| ~ spl4_82 ),
inference(avatar_component_clause,[],[f772]) ).
fof(f8314,plain,
( spl4_311
| ~ spl4_3
| ~ spl4_7
| ~ spl4_81 ),
inference(avatar_split_clause,[],[f8015,f767,f220,f200,f8311]) ).
fof(f8311,plain,
( spl4_311
<=> sdtlseqdt0(sK0,sdtpldt0(xl,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_311])]) ).
fof(f767,plain,
( spl4_81
<=> sdtpldt0(sK0,xl) = sdtpldt0(xl,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_81])]) ).
fof(f8015,plain,
( sdtlseqdt0(sK0,sdtpldt0(xl,sK0))
| ~ spl4_3
| ~ spl4_7
| ~ spl4_81 ),
inference(subsumption_resolution,[],[f8014,f222]) ).
fof(f8014,plain,
( sdtlseqdt0(sK0,sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sK0)
| ~ spl4_3
| ~ spl4_81 ),
inference(subsumption_resolution,[],[f7936,f202]) ).
fof(f7936,plain,
( sdtlseqdt0(sK0,sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK0)
| ~ spl4_81 ),
inference(superposition,[],[f1772,f769]) ).
fof(f769,plain,
( sdtpldt0(sK0,xl) = sdtpldt0(xl,sK0)
| ~ spl4_81 ),
inference(avatar_component_clause,[],[f767]) ).
fof(f8309,plain,
( spl4_310
| ~ spl4_2
| ~ spl4_3
| ~ spl4_80 ),
inference(avatar_split_clause,[],[f8013,f762,f200,f195,f8306]) ).
fof(f8306,plain,
( spl4_310
<=> sdtlseqdt0(xq,sdtpldt0(xl,xq)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_310])]) ).
fof(f762,plain,
( spl4_80
<=> sdtpldt0(xq,xl) = sdtpldt0(xl,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_80])]) ).
fof(f8013,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xq))
| ~ spl4_2
| ~ spl4_3
| ~ spl4_80 ),
inference(subsumption_resolution,[],[f8012,f197]) ).
fof(f8012,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(xq)
| ~ spl4_3
| ~ spl4_80 ),
inference(subsumption_resolution,[],[f7935,f202]) ).
fof(f7935,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xq)
| ~ spl4_80 ),
inference(superposition,[],[f1772,f764]) ).
fof(f764,plain,
( sdtpldt0(xq,xl) = sdtpldt0(xl,xq)
| ~ spl4_80 ),
inference(avatar_component_clause,[],[f762]) ).
fof(f8304,plain,
( spl4_309
| ~ spl4_1
| ~ spl4_3
| ~ spl4_79 ),
inference(avatar_split_clause,[],[f8011,f757,f200,f190,f8301]) ).
fof(f8301,plain,
( spl4_309
<=> sdtlseqdt0(xp,sdtpldt0(xl,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_309])]) ).
fof(f757,plain,
( spl4_79
<=> sdtpldt0(xp,xl) = sdtpldt0(xl,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_79])]) ).
fof(f8011,plain,
( sdtlseqdt0(xp,sdtpldt0(xl,xp))
| ~ spl4_1
| ~ spl4_3
| ~ spl4_79 ),
inference(subsumption_resolution,[],[f8010,f192]) ).
fof(f8010,plain,
( sdtlseqdt0(xp,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(xp)
| ~ spl4_3
| ~ spl4_79 ),
inference(subsumption_resolution,[],[f7934,f202]) ).
fof(f7934,plain,
( sdtlseqdt0(xp,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xp)
| ~ spl4_79 ),
inference(superposition,[],[f1772,f759]) ).
fof(f759,plain,
( sdtpldt0(xp,xl) = sdtpldt0(xl,xp)
| ~ spl4_79 ),
inference(avatar_component_clause,[],[f757]) ).
fof(f8299,plain,
( spl4_308
| ~ spl4_3
| ~ spl4_5
| ~ spl4_78 ),
inference(avatar_split_clause,[],[f8009,f752,f210,f200,f8296]) ).
fof(f752,plain,
( spl4_78
<=> sdtpldt0(xn,xl) = sdtpldt0(xl,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_78])]) ).
fof(f8009,plain,
( sdtlseqdt0(xn,sdtpldt0(xl,xn))
| ~ spl4_3
| ~ spl4_5
| ~ spl4_78 ),
inference(subsumption_resolution,[],[f8008,f212]) ).
fof(f8008,plain,
( sdtlseqdt0(xn,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(xn)
| ~ spl4_3
| ~ spl4_78 ),
inference(subsumption_resolution,[],[f7933,f202]) ).
fof(f7933,plain,
( sdtlseqdt0(xn,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xn)
| ~ spl4_78 ),
inference(superposition,[],[f1772,f754]) ).
fof(f754,plain,
( sdtpldt0(xn,xl) = sdtpldt0(xl,xn)
| ~ spl4_78 ),
inference(avatar_component_clause,[],[f752]) ).
fof(f8294,plain,
( spl4_307
| ~ spl4_3
| ~ spl4_4
| ~ spl4_77 ),
inference(avatar_split_clause,[],[f8007,f747,f205,f200,f8291]) ).
fof(f747,plain,
( spl4_77
<=> sdtpldt0(xm,xl) = sdtpldt0(xl,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_77])]) ).
fof(f8007,plain,
( sdtlseqdt0(xm,sdtpldt0(xl,xm))
| ~ spl4_3
| ~ spl4_4
| ~ spl4_77 ),
inference(subsumption_resolution,[],[f8006,f207]) ).
fof(f8006,plain,
( sdtlseqdt0(xm,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(xm)
| ~ spl4_3
| ~ spl4_77 ),
inference(subsumption_resolution,[],[f7932,f202]) ).
fof(f7932,plain,
( sdtlseqdt0(xm,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xm)
| ~ spl4_77 ),
inference(superposition,[],[f1772,f749]) ).
fof(f749,plain,
( sdtpldt0(xm,xl) = sdtpldt0(xl,xm)
| ~ spl4_77 ),
inference(avatar_component_clause,[],[f747]) ).
fof(f8289,plain,
( spl4_306
| ~ spl4_6
| ~ spl4_9
| ~ spl4_232 ),
inference(avatar_split_clause,[],[f8005,f6465,f230,f215,f8286]) ).
fof(f8286,plain,
( spl4_306
<=> sdtlseqdt0(sK1,sdtpldt0(sz10,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_306])]) ).
fof(f6465,plain,
( spl4_232
<=> sdtpldt0(sz10,sK1) = sdtpldt0(sK1,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_232])]) ).
fof(f8005,plain,
( sdtlseqdt0(sK1,sdtpldt0(sz10,sK1))
| ~ spl4_6
| ~ spl4_9
| ~ spl4_232 ),
inference(subsumption_resolution,[],[f8004,f217]) ).
fof(f8004,plain,
( sdtlseqdt0(sK1,sdtpldt0(sz10,sK1))
| ~ aNaturalNumber0(sK1)
| ~ spl4_9
| ~ spl4_232 ),
inference(subsumption_resolution,[],[f7930,f232]) ).
fof(f7930,plain,
( sdtlseqdt0(sK1,sdtpldt0(sz10,sK1))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK1)
| ~ spl4_232 ),
inference(superposition,[],[f1772,f6467]) ).
fof(f6467,plain,
( sdtpldt0(sz10,sK1) = sdtpldt0(sK1,sz10)
| ~ spl4_232 ),
inference(avatar_component_clause,[],[f6465]) ).
fof(f8284,plain,
( spl4_305
| ~ spl4_7
| ~ spl4_9
| ~ spl4_219 ),
inference(avatar_split_clause,[],[f8003,f6064,f230,f220,f8281]) ).
fof(f8281,plain,
( spl4_305
<=> sdtlseqdt0(sK0,sdtpldt0(sz10,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_305])]) ).
fof(f6064,plain,
( spl4_219
<=> sdtpldt0(sz10,sK0) = sdtpldt0(sK0,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_219])]) ).
fof(f8003,plain,
( sdtlseqdt0(sK0,sdtpldt0(sz10,sK0))
| ~ spl4_7
| ~ spl4_9
| ~ spl4_219 ),
inference(subsumption_resolution,[],[f8002,f222]) ).
fof(f8002,plain,
( sdtlseqdt0(sK0,sdtpldt0(sz10,sK0))
| ~ aNaturalNumber0(sK0)
| ~ spl4_9
| ~ spl4_219 ),
inference(subsumption_resolution,[],[f7929,f232]) ).
fof(f7929,plain,
( sdtlseqdt0(sK0,sdtpldt0(sz10,sK0))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK0)
| ~ spl4_219 ),
inference(superposition,[],[f1772,f6066]) ).
fof(f6066,plain,
( sdtpldt0(sz10,sK0) = sdtpldt0(sK0,sz10)
| ~ spl4_219 ),
inference(avatar_component_clause,[],[f6064]) ).
fof(f8279,plain,
( spl4_304
| ~ spl4_2
| ~ spl4_9
| ~ spl4_216 ),
inference(avatar_split_clause,[],[f8001,f6048,f230,f195,f8276]) ).
fof(f8276,plain,
( spl4_304
<=> sdtlseqdt0(xq,sdtpldt0(sz10,xq)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_304])]) ).
fof(f6048,plain,
( spl4_216
<=> sdtpldt0(sz10,xq) = sdtpldt0(xq,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_216])]) ).
fof(f8001,plain,
( sdtlseqdt0(xq,sdtpldt0(sz10,xq))
| ~ spl4_2
| ~ spl4_9
| ~ spl4_216 ),
inference(subsumption_resolution,[],[f8000,f197]) ).
fof(f8000,plain,
( sdtlseqdt0(xq,sdtpldt0(sz10,xq))
| ~ aNaturalNumber0(xq)
| ~ spl4_9
| ~ spl4_216 ),
inference(subsumption_resolution,[],[f7928,f232]) ).
fof(f7928,plain,
( sdtlseqdt0(xq,sdtpldt0(sz10,xq))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xq)
| ~ spl4_216 ),
inference(superposition,[],[f1772,f6050]) ).
fof(f6050,plain,
( sdtpldt0(sz10,xq) = sdtpldt0(xq,sz10)
| ~ spl4_216 ),
inference(avatar_component_clause,[],[f6048]) ).
fof(f8274,plain,
( spl4_303
| ~ spl4_1
| ~ spl4_9
| ~ spl4_212 ),
inference(avatar_split_clause,[],[f7999,f6028,f230,f190,f8271]) ).
fof(f8271,plain,
( spl4_303
<=> sdtlseqdt0(xp,sdtpldt0(sz10,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_303])]) ).
fof(f6028,plain,
( spl4_212
<=> sdtpldt0(sz10,xp) = sdtpldt0(xp,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_212])]) ).
fof(f7999,plain,
( sdtlseqdt0(xp,sdtpldt0(sz10,xp))
| ~ spl4_1
| ~ spl4_9
| ~ spl4_212 ),
inference(subsumption_resolution,[],[f7998,f192]) ).
fof(f7998,plain,
( sdtlseqdt0(xp,sdtpldt0(sz10,xp))
| ~ aNaturalNumber0(xp)
| ~ spl4_9
| ~ spl4_212 ),
inference(subsumption_resolution,[],[f7927,f232]) ).
fof(f7927,plain,
( sdtlseqdt0(xp,sdtpldt0(sz10,xp))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ spl4_212 ),
inference(superposition,[],[f1772,f6030]) ).
fof(f6030,plain,
( sdtpldt0(sz10,xp) = sdtpldt0(xp,sz10)
| ~ spl4_212 ),
inference(avatar_component_clause,[],[f6028]) ).
fof(f8269,plain,
( spl4_302
| ~ spl4_5
| ~ spl4_9
| ~ spl4_91 ),
inference(avatar_split_clause,[],[f7997,f894,f230,f210,f8266]) ).
fof(f894,plain,
( spl4_91
<=> sdtpldt0(sz10,xn) = sdtpldt0(xn,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_91])]) ).
fof(f7997,plain,
( sdtlseqdt0(xn,sdtpldt0(sz10,xn))
| ~ spl4_5
| ~ spl4_9
| ~ spl4_91 ),
inference(subsumption_resolution,[],[f7996,f212]) ).
fof(f7996,plain,
( sdtlseqdt0(xn,sdtpldt0(sz10,xn))
| ~ aNaturalNumber0(xn)
| ~ spl4_9
| ~ spl4_91 ),
inference(subsumption_resolution,[],[f7926,f232]) ).
fof(f7926,plain,
( sdtlseqdt0(xn,sdtpldt0(sz10,xn))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ spl4_91 ),
inference(superposition,[],[f1772,f896]) ).
fof(f896,plain,
( sdtpldt0(sz10,xn) = sdtpldt0(xn,sz10)
| ~ spl4_91 ),
inference(avatar_component_clause,[],[f894]) ).
fof(f8264,plain,
( spl4_301
| ~ spl4_4
| ~ spl4_9
| ~ spl4_84 ),
inference(avatar_split_clause,[],[f7995,f816,f230,f205,f8261]) ).
fof(f816,plain,
( spl4_84
<=> sdtpldt0(sz10,xm) = sdtpldt0(xm,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_84])]) ).
fof(f7995,plain,
( sdtlseqdt0(xm,sdtpldt0(sz10,xm))
| ~ spl4_4
| ~ spl4_9
| ~ spl4_84 ),
inference(subsumption_resolution,[],[f7994,f207]) ).
fof(f7994,plain,
( sdtlseqdt0(xm,sdtpldt0(sz10,xm))
| ~ aNaturalNumber0(xm)
| ~ spl4_9
| ~ spl4_84 ),
inference(subsumption_resolution,[],[f7925,f232]) ).
fof(f7925,plain,
( sdtlseqdt0(xm,sdtpldt0(sz10,xm))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ spl4_84 ),
inference(superposition,[],[f1772,f818]) ).
fof(f818,plain,
( sdtpldt0(sz10,xm) = sdtpldt0(xm,sz10)
| ~ spl4_84 ),
inference(avatar_component_clause,[],[f816]) ).
fof(f8259,plain,
( spl4_300
| ~ spl4_3
| ~ spl4_9
| ~ spl4_76 ),
inference(avatar_split_clause,[],[f7993,f742,f230,f200,f8256]) ).
fof(f8256,plain,
( spl4_300
<=> sdtlseqdt0(xl,sdtpldt0(sz10,xl)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_300])]) ).
fof(f742,plain,
( spl4_76
<=> sdtpldt0(sz10,xl) = sdtpldt0(xl,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_76])]) ).
fof(f7993,plain,
( sdtlseqdt0(xl,sdtpldt0(sz10,xl))
| ~ spl4_3
| ~ spl4_9
| ~ spl4_76 ),
inference(subsumption_resolution,[],[f7992,f202]) ).
fof(f7992,plain,
( sdtlseqdt0(xl,sdtpldt0(sz10,xl))
| ~ aNaturalNumber0(xl)
| ~ spl4_9
| ~ spl4_76 ),
inference(subsumption_resolution,[],[f7924,f232]) ).
fof(f7924,plain,
( sdtlseqdt0(xl,sdtpldt0(sz10,xl))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xl)
| ~ spl4_76 ),
inference(superposition,[],[f1772,f744]) ).
fof(f744,plain,
( sdtpldt0(sz10,xl) = sdtpldt0(xl,sz10)
| ~ spl4_76 ),
inference(avatar_component_clause,[],[f742]) ).
fof(f8254,plain,
( spl4_299
| ~ spl4_3
| ~ spl4_7
| ~ spl4_237 ),
inference(avatar_split_clause,[],[f7798,f6813,f220,f200,f8251]) ).
fof(f8251,plain,
( spl4_299
<=> doDivides0(sK0,sdtpldt0(xm,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_299])]) ).
fof(f6813,plain,
( spl4_237
<=> sdtpldt0(xm,xn) = sdtasdt0(sK0,xl) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_237])]) ).
fof(f7798,plain,
( doDivides0(sK0,sdtpldt0(xm,xn))
| ~ spl4_3
| ~ spl4_7
| ~ spl4_237 ),
inference(subsumption_resolution,[],[f7797,f222]) ).
fof(f7797,plain,
( doDivides0(sK0,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(sK0)
| ~ spl4_3
| ~ spl4_237 ),
inference(subsumption_resolution,[],[f7721,f202]) ).
fof(f7721,plain,
( doDivides0(sK0,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK0)
| ~ spl4_237 ),
inference(superposition,[],[f1567,f6815]) ).
fof(f6815,plain,
( sdtpldt0(xm,xn) = sdtasdt0(sK0,xl)
| ~ spl4_237 ),
inference(avatar_component_clause,[],[f6813]) ).
fof(f8249,plain,
( spl4_298
| ~ spl4_2
| ~ spl4_3
| ~ spl4_236 ),
inference(avatar_split_clause,[],[f7792,f6808,f200,f195,f8246]) ).
fof(f8246,plain,
( spl4_298
<=> doDivides0(xq,sdtpldt0(xm,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_298])]) ).
fof(f6808,plain,
( spl4_236
<=> sdtpldt0(xm,xn) = sdtasdt0(xq,xl) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_236])]) ).
fof(f7792,plain,
( doDivides0(xq,sdtpldt0(xm,xn))
| ~ spl4_2
| ~ spl4_3
| ~ spl4_236 ),
inference(subsumption_resolution,[],[f7791,f197]) ).
fof(f7791,plain,
( doDivides0(xq,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xq)
| ~ spl4_3
| ~ spl4_236 ),
inference(subsumption_resolution,[],[f7717,f202]) ).
fof(f7717,plain,
( doDivides0(xq,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xq)
| ~ spl4_236 ),
inference(superposition,[],[f1567,f6810]) ).
fof(f6810,plain,
( sdtpldt0(xm,xn) = sdtasdt0(xq,xl)
| ~ spl4_236 ),
inference(avatar_component_clause,[],[f6808]) ).
fof(f8244,plain,
( spl4_297
| ~ spl4_4
| ~ spl4_5
| ~ spl4_238 ),
inference(avatar_split_clause,[],[f7782,f6819,f210,f205,f8241]) ).
fof(f8241,plain,
( spl4_297
<=> doDivides0(xn,sdtasdt0(xm,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_297])]) ).
fof(f7782,plain,
( doDivides0(xn,sdtasdt0(xm,xn))
| ~ spl4_4
| ~ spl4_5
| ~ spl4_238 ),
inference(subsumption_resolution,[],[f7781,f212]) ).
fof(f7781,plain,
( doDivides0(xn,sdtasdt0(xm,xn))
| ~ aNaturalNumber0(xn)
| ~ spl4_4
| ~ spl4_238 ),
inference(subsumption_resolution,[],[f7711,f207]) ).
fof(f7711,plain,
( doDivides0(xn,sdtasdt0(xm,xn))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ spl4_238 ),
inference(superposition,[],[f1567,f6821]) ).
fof(f8239,plain,
( spl4_296
| ~ spl4_3
| ~ spl4_5
| ~ spl4_235 ),
inference(avatar_split_clause,[],[f7780,f6803,f210,f200,f8236]) ).
fof(f8236,plain,
( spl4_296
<=> doDivides0(xn,sdtasdt0(xl,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_296])]) ).
fof(f7780,plain,
( doDivides0(xn,sdtasdt0(xl,xn))
| ~ spl4_3
| ~ spl4_5
| ~ spl4_235 ),
inference(subsumption_resolution,[],[f7779,f212]) ).
fof(f7779,plain,
( doDivides0(xn,sdtasdt0(xl,xn))
| ~ aNaturalNumber0(xn)
| ~ spl4_3
| ~ spl4_235 ),
inference(subsumption_resolution,[],[f7710,f202]) ).
fof(f7710,plain,
( doDivides0(xn,sdtasdt0(xl,xn))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xn)
| ~ spl4_235 ),
inference(superposition,[],[f1567,f6805]) ).
fof(f8234,plain,
( spl4_295
| ~ spl4_3
| ~ spl4_4
| ~ spl4_234 ),
inference(avatar_split_clause,[],[f7774,f6798,f205,f200,f8231]) ).
fof(f8231,plain,
( spl4_295
<=> doDivides0(xm,sdtasdt0(xl,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_295])]) ).
fof(f7774,plain,
( doDivides0(xm,sdtasdt0(xl,xm))
| ~ spl4_3
| ~ spl4_4
| ~ spl4_234 ),
inference(subsumption_resolution,[],[f7773,f207]) ).
fof(f7773,plain,
( doDivides0(xm,sdtasdt0(xl,xm))
| ~ aNaturalNumber0(xm)
| ~ spl4_3
| ~ spl4_234 ),
inference(subsumption_resolution,[],[f7707,f202]) ).
fof(f7707,plain,
( doDivides0(xm,sdtasdt0(xl,xm))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xm)
| ~ spl4_234 ),
inference(superposition,[],[f1567,f6800]) ).
fof(f8229,plain,
( spl4_294
| ~ spl4_8
| ~ spl4_64
| ~ spl4_74 ),
inference(avatar_split_clause,[],[f7766,f705,f609,f225,f8226]) ).
fof(f8226,plain,
( spl4_294
<=> doDivides0(sdtpldt0(xm,xn),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_294])]) ).
fof(f705,plain,
( spl4_74
<=> sz00 = sdtasdt0(sdtpldt0(xm,xn),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_74])]) ).
fof(f7766,plain,
( doDivides0(sdtpldt0(xm,xn),sz00)
| ~ spl4_8
| ~ spl4_64
| ~ spl4_74 ),
inference(subsumption_resolution,[],[f7765,f611]) ).
fof(f7765,plain,
( doDivides0(sdtpldt0(xm,xn),sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ spl4_8
| ~ spl4_74 ),
inference(subsumption_resolution,[],[f7695,f227]) ).
fof(f7695,plain,
( doDivides0(sdtpldt0(xm,xn),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ spl4_74 ),
inference(superposition,[],[f1567,f707]) ).
fof(f707,plain,
( sz00 = sdtasdt0(sdtpldt0(xm,xn),sz00)
| ~ spl4_74 ),
inference(avatar_component_clause,[],[f705]) ).
fof(f8224,plain,
( ~ spl4_293
| ~ spl4_2
| ~ spl4_3
| ~ spl4_5
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64
| spl4_105
| ~ spl4_257
| ~ spl4_269 ),
inference(avatar_split_clause,[],[f7669,f7660,f7183,f1134,f609,f280,f270,f240,f210,f200,f195,f8221]) ).
fof(f8221,plain,
( spl4_293
<=> xq = sdtasdt0(xm,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_293])]) ).
fof(f7660,plain,
( spl4_269
<=> sdtlseqdt0(xn,sdtasdt0(xm,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_269])]) ).
fof(f7669,plain,
( xq != sdtasdt0(xm,xn)
| ~ spl4_2
| ~ spl4_3
| ~ spl4_5
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64
| spl4_105
| ~ spl4_257
| ~ spl4_269 ),
inference(subsumption_resolution,[],[f7668,f1136]) ).
fof(f7668,plain,
( xn = xq
| xq != sdtasdt0(xm,xn)
| ~ spl4_2
| ~ spl4_3
| ~ spl4_5
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64
| ~ spl4_257
| ~ spl4_269 ),
inference(inner_rewriting,[],[f7664]) ).
fof(f7664,plain,
( xn = sdtasdt0(xm,xn)
| xq != sdtasdt0(xm,xn)
| ~ spl4_2
| ~ spl4_3
| ~ spl4_5
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64
| ~ spl4_257
| ~ spl4_269 ),
inference(resolution,[],[f7662,f7377]) ).
fof(f7662,plain,
( sdtlseqdt0(xn,sdtasdt0(xm,xn))
| ~ spl4_269 ),
inference(avatar_component_clause,[],[f7660]) ).
fof(f8206,plain,
( spl4_292
| ~ spl4_3
| ~ spl4_6
| ~ spl4_221 ),
inference(avatar_split_clause,[],[f7804,f6101,f215,f200,f8203]) ).
fof(f8203,plain,
( spl4_292
<=> doDivides0(sK1,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_292])]) ).
fof(f6101,plain,
( spl4_221
<=> xm = sdtasdt0(sK1,xl) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_221])]) ).
fof(f7804,plain,
( doDivides0(sK1,xm)
| ~ spl4_3
| ~ spl4_6
| ~ spl4_221 ),
inference(subsumption_resolution,[],[f7803,f217]) ).
fof(f7803,plain,
( doDivides0(sK1,xm)
| ~ aNaturalNumber0(sK1)
| ~ spl4_3
| ~ spl4_221 ),
inference(subsumption_resolution,[],[f7724,f202]) ).
fof(f7724,plain,
( doDivides0(sK1,xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK1)
| ~ spl4_221 ),
inference(superposition,[],[f1567,f6103]) ).
fof(f6103,plain,
( xm = sdtasdt0(sK1,xl)
| ~ spl4_221 ),
inference(avatar_component_clause,[],[f6101]) ).
fof(f8201,plain,
( spl4_291
| ~ spl4_1
| ~ spl4_3
| ~ spl4_220 ),
inference(avatar_split_clause,[],[f7788,f6096,f200,f190,f8198]) ).
fof(f6096,plain,
( spl4_220
<=> xm = sdtasdt0(xp,xl) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_220])]) ).
fof(f7788,plain,
( doDivides0(xp,xm)
| ~ spl4_1
| ~ spl4_3
| ~ spl4_220 ),
inference(subsumption_resolution,[],[f7787,f192]) ).
fof(f7787,plain,
( doDivides0(xp,xm)
| ~ aNaturalNumber0(xp)
| ~ spl4_3
| ~ spl4_220 ),
inference(subsumption_resolution,[],[f7714,f202]) ).
fof(f7714,plain,
( doDivides0(xp,xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xp)
| ~ spl4_220 ),
inference(superposition,[],[f1567,f6098]) ).
fof(f6098,plain,
( xm = sdtasdt0(xp,xl)
| ~ spl4_220 ),
inference(avatar_component_clause,[],[f6096]) ).
fof(f8190,plain,
( spl4_290
| ~ spl4_9
| ~ spl4_72 ),
inference(avatar_split_clause,[],[f7750,f683,f230,f8187]) ).
fof(f683,plain,
( spl4_72
<=> sz10 = sdtasdt0(sz10,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_72])]) ).
fof(f7750,plain,
( doDivides0(sz10,sz10)
| ~ spl4_9
| ~ spl4_72 ),
inference(subsumption_resolution,[],[f7725,f232]) ).
fof(f7725,plain,
( doDivides0(sz10,sz10)
| ~ aNaturalNumber0(sz10)
| ~ spl4_72 ),
inference(duplicate_literal_removal,[],[f7686]) ).
fof(f7686,plain,
( doDivides0(sz10,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz10)
| ~ spl4_72 ),
inference(superposition,[],[f1567,f685]) ).
fof(f685,plain,
( sz10 = sdtasdt0(sz10,sz10)
| ~ spl4_72 ),
inference(avatar_component_clause,[],[f683]) ).
fof(f8067,plain,
( spl4_289
| ~ spl4_6
| ~ spl4_9
| ~ spl4_56 ),
inference(avatar_split_clause,[],[f7802,f521,f230,f215,f8064]) ).
fof(f8064,plain,
( spl4_289
<=> doDivides0(sK1,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_289])]) ).
fof(f521,plain,
( spl4_56
<=> sK1 = sdtasdt0(sK1,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_56])]) ).
fof(f7802,plain,
( doDivides0(sK1,sK1)
| ~ spl4_6
| ~ spl4_9
| ~ spl4_56 ),
inference(subsumption_resolution,[],[f7801,f217]) ).
fof(f7801,plain,
( doDivides0(sK1,sK1)
| ~ aNaturalNumber0(sK1)
| ~ spl4_9
| ~ spl4_56 ),
inference(subsumption_resolution,[],[f7723,f232]) ).
fof(f7723,plain,
( doDivides0(sK1,sK1)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK1)
| ~ spl4_56 ),
inference(superposition,[],[f1567,f523]) ).
fof(f523,plain,
( sK1 = sdtasdt0(sK1,sz10)
| ~ spl4_56 ),
inference(avatar_component_clause,[],[f521]) ).
fof(f8062,plain,
( spl4_288
| ~ spl4_6
| ~ spl4_8
| ~ spl4_27 ),
inference(avatar_split_clause,[],[f7800,f338,f225,f215,f8059]) ).
fof(f8059,plain,
( spl4_288
<=> doDivides0(sK1,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_288])]) ).
fof(f338,plain,
( spl4_27
<=> sz00 = sdtasdt0(sK1,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_27])]) ).
fof(f7800,plain,
( doDivides0(sK1,sz00)
| ~ spl4_6
| ~ spl4_8
| ~ spl4_27 ),
inference(subsumption_resolution,[],[f7799,f217]) ).
fof(f7799,plain,
( doDivides0(sK1,sz00)
| ~ aNaturalNumber0(sK1)
| ~ spl4_8
| ~ spl4_27 ),
inference(subsumption_resolution,[],[f7722,f227]) ).
fof(f7722,plain,
( doDivides0(sK1,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK1)
| ~ spl4_27 ),
inference(superposition,[],[f1567,f340]) ).
fof(f340,plain,
( sz00 = sdtasdt0(sK1,sz00)
| ~ spl4_27 ),
inference(avatar_component_clause,[],[f338]) ).
fof(f8057,plain,
( spl4_287
| ~ spl4_7
| ~ spl4_9
| ~ spl4_55 ),
inference(avatar_split_clause,[],[f7796,f516,f230,f220,f8054]) ).
fof(f516,plain,
( spl4_55
<=> sK0 = sdtasdt0(sK0,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_55])]) ).
fof(f7796,plain,
( doDivides0(sK0,sK0)
| ~ spl4_7
| ~ spl4_9
| ~ spl4_55 ),
inference(subsumption_resolution,[],[f7795,f222]) ).
fof(f7795,plain,
( doDivides0(sK0,sK0)
| ~ aNaturalNumber0(sK0)
| ~ spl4_9
| ~ spl4_55 ),
inference(subsumption_resolution,[],[f7720,f232]) ).
fof(f7720,plain,
( doDivides0(sK0,sK0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK0)
| ~ spl4_55 ),
inference(superposition,[],[f1567,f518]) ).
fof(f518,plain,
( sK0 = sdtasdt0(sK0,sz10)
| ~ spl4_55 ),
inference(avatar_component_clause,[],[f516]) ).
fof(f8052,plain,
( spl4_286
| ~ spl4_7
| ~ spl4_8
| ~ spl4_26 ),
inference(avatar_split_clause,[],[f7794,f324,f225,f220,f8049]) ).
fof(f324,plain,
( spl4_26
<=> sz00 = sdtasdt0(sK0,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_26])]) ).
fof(f7794,plain,
( doDivides0(sK0,sz00)
| ~ spl4_7
| ~ spl4_8
| ~ spl4_26 ),
inference(subsumption_resolution,[],[f7793,f222]) ).
fof(f7793,plain,
( doDivides0(sK0,sz00)
| ~ aNaturalNumber0(sK0)
| ~ spl4_8
| ~ spl4_26 ),
inference(subsumption_resolution,[],[f7719,f227]) ).
fof(f7719,plain,
( doDivides0(sK0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0)
| ~ spl4_26 ),
inference(superposition,[],[f1567,f326]) ).
fof(f326,plain,
( sz00 = sdtasdt0(sK0,sz00)
| ~ spl4_26 ),
inference(avatar_component_clause,[],[f324]) ).
fof(f7908,plain,
( spl4_285
| ~ spl4_2
| ~ spl4_9
| ~ spl4_54 ),
inference(avatar_split_clause,[],[f7790,f511,f230,f195,f7905]) ).
fof(f7790,plain,
( doDivides0(xq,xq)
| ~ spl4_2
| ~ spl4_9
| ~ spl4_54 ),
inference(subsumption_resolution,[],[f7789,f197]) ).
fof(f7789,plain,
( doDivides0(xq,xq)
| ~ aNaturalNumber0(xq)
| ~ spl4_9
| ~ spl4_54 ),
inference(subsumption_resolution,[],[f7716,f232]) ).
fof(f7716,plain,
( doDivides0(xq,xq)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xq)
| ~ spl4_54 ),
inference(superposition,[],[f1567,f513]) ).
fof(f7903,plain,
( spl4_284
| ~ spl4_1
| ~ spl4_9
| ~ spl4_53 ),
inference(avatar_split_clause,[],[f7786,f506,f230,f190,f7900]) ).
fof(f506,plain,
( spl4_53
<=> xp = sdtasdt0(xp,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_53])]) ).
fof(f7786,plain,
( doDivides0(xp,xp)
| ~ spl4_1
| ~ spl4_9
| ~ spl4_53 ),
inference(subsumption_resolution,[],[f7785,f192]) ).
fof(f7785,plain,
( doDivides0(xp,xp)
| ~ aNaturalNumber0(xp)
| ~ spl4_9
| ~ spl4_53 ),
inference(subsumption_resolution,[],[f7713,f232]) ).
fof(f7713,plain,
( doDivides0(xp,xp)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ spl4_53 ),
inference(superposition,[],[f1567,f508]) ).
fof(f508,plain,
( xp = sdtasdt0(xp,sz10)
| ~ spl4_53 ),
inference(avatar_component_clause,[],[f506]) ).
fof(f7898,plain,
( spl4_283
| ~ spl4_1
| ~ spl4_8
| ~ spl4_24 ),
inference(avatar_split_clause,[],[f7784,f314,f225,f190,f7895]) ).
fof(f7784,plain,
( doDivides0(xp,sz00)
| ~ spl4_1
| ~ spl4_8
| ~ spl4_24 ),
inference(subsumption_resolution,[],[f7783,f192]) ).
fof(f7783,plain,
( doDivides0(xp,sz00)
| ~ aNaturalNumber0(xp)
| ~ spl4_8
| ~ spl4_24 ),
inference(subsumption_resolution,[],[f7712,f227]) ).
fof(f7712,plain,
( doDivides0(xp,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ spl4_24 ),
inference(superposition,[],[f1567,f316]) ).
fof(f7893,plain,
( spl4_282
| ~ spl4_5
| ~ spl4_9
| ~ spl4_52 ),
inference(avatar_split_clause,[],[f7778,f501,f230,f210,f7890]) ).
fof(f501,plain,
( spl4_52
<=> xn = sdtasdt0(xn,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_52])]) ).
fof(f7778,plain,
( doDivides0(xn,xn)
| ~ spl4_5
| ~ spl4_9
| ~ spl4_52 ),
inference(subsumption_resolution,[],[f7777,f212]) ).
fof(f7777,plain,
( doDivides0(xn,xn)
| ~ aNaturalNumber0(xn)
| ~ spl4_9
| ~ spl4_52 ),
inference(subsumption_resolution,[],[f7709,f232]) ).
fof(f7709,plain,
( doDivides0(xn,xn)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ spl4_52 ),
inference(superposition,[],[f1567,f503]) ).
fof(f503,plain,
( xn = sdtasdt0(xn,sz10)
| ~ spl4_52 ),
inference(avatar_component_clause,[],[f501]) ).
fof(f7888,plain,
( spl4_281
| ~ spl4_5
| ~ spl4_8
| ~ spl4_23 ),
inference(avatar_split_clause,[],[f7776,f309,f225,f210,f7885]) ).
fof(f7776,plain,
( doDivides0(xn,sz00)
| ~ spl4_5
| ~ spl4_8
| ~ spl4_23 ),
inference(subsumption_resolution,[],[f7775,f212]) ).
fof(f7775,plain,
( doDivides0(xn,sz00)
| ~ aNaturalNumber0(xn)
| ~ spl4_8
| ~ spl4_23 ),
inference(subsumption_resolution,[],[f7708,f227]) ).
fof(f7708,plain,
( doDivides0(xn,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ spl4_23 ),
inference(superposition,[],[f1567,f311]) ).
fof(f7883,plain,
( spl4_280
| ~ spl4_4
| ~ spl4_9
| ~ spl4_51 ),
inference(avatar_split_clause,[],[f7772,f496,f230,f205,f7880]) ).
fof(f496,plain,
( spl4_51
<=> xm = sdtasdt0(xm,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_51])]) ).
fof(f7772,plain,
( doDivides0(xm,xm)
| ~ spl4_4
| ~ spl4_9
| ~ spl4_51 ),
inference(subsumption_resolution,[],[f7771,f207]) ).
fof(f7771,plain,
( doDivides0(xm,xm)
| ~ aNaturalNumber0(xm)
| ~ spl4_9
| ~ spl4_51 ),
inference(subsumption_resolution,[],[f7706,f232]) ).
fof(f7706,plain,
( doDivides0(xm,xm)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ spl4_51 ),
inference(superposition,[],[f1567,f498]) ).
fof(f498,plain,
( xm = sdtasdt0(xm,sz10)
| ~ spl4_51 ),
inference(avatar_component_clause,[],[f496]) ).
fof(f7878,plain,
( spl4_279
| ~ spl4_4
| ~ spl4_8
| ~ spl4_22 ),
inference(avatar_split_clause,[],[f7770,f304,f225,f205,f7875]) ).
fof(f7770,plain,
( doDivides0(xm,sz00)
| ~ spl4_4
| ~ spl4_8
| ~ spl4_22 ),
inference(subsumption_resolution,[],[f7769,f207]) ).
fof(f7769,plain,
( doDivides0(xm,sz00)
| ~ aNaturalNumber0(xm)
| ~ spl4_8
| ~ spl4_22 ),
inference(subsumption_resolution,[],[f7705,f227]) ).
fof(f7705,plain,
( doDivides0(xm,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ spl4_22 ),
inference(superposition,[],[f1567,f306]) ).
fof(f7873,plain,
( spl4_278
| ~ spl4_3
| ~ spl4_9
| ~ spl4_50 ),
inference(avatar_split_clause,[],[f7768,f491,f230,f200,f7870]) ).
fof(f491,plain,
( spl4_50
<=> xl = sdtasdt0(xl,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_50])]) ).
fof(f7768,plain,
( doDivides0(xl,xl)
| ~ spl4_3
| ~ spl4_9
| ~ spl4_50 ),
inference(subsumption_resolution,[],[f7767,f202]) ).
fof(f7767,plain,
( doDivides0(xl,xl)
| ~ aNaturalNumber0(xl)
| ~ spl4_9
| ~ spl4_50 ),
inference(subsumption_resolution,[],[f7698,f232]) ).
fof(f7698,plain,
( doDivides0(xl,xl)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xl)
| ~ spl4_50 ),
inference(superposition,[],[f1567,f493]) ).
fof(f493,plain,
( xl = sdtasdt0(xl,sz10)
| ~ spl4_50 ),
inference(avatar_component_clause,[],[f491]) ).
fof(f7868,plain,
( spl4_277
| ~ spl4_6
| ~ spl4_9
| ~ spl4_63 ),
inference(avatar_split_clause,[],[f7764,f576,f230,f215,f7865]) ).
fof(f7865,plain,
( spl4_277
<=> doDivides0(sz10,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_277])]) ).
fof(f576,plain,
( spl4_63
<=> sK1 = sdtasdt0(sz10,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_63])]) ).
fof(f7764,plain,
( doDivides0(sz10,sK1)
| ~ spl4_6
| ~ spl4_9
| ~ spl4_63 ),
inference(subsumption_resolution,[],[f7763,f232]) ).
fof(f7763,plain,
( doDivides0(sz10,sK1)
| ~ aNaturalNumber0(sz10)
| ~ spl4_6
| ~ spl4_63 ),
inference(subsumption_resolution,[],[f7693,f217]) ).
fof(f7693,plain,
( doDivides0(sz10,sK1)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sz10)
| ~ spl4_63 ),
inference(superposition,[],[f1567,f578]) ).
fof(f578,plain,
( sK1 = sdtasdt0(sz10,sK1)
| ~ spl4_63 ),
inference(avatar_component_clause,[],[f576]) ).
fof(f7863,plain,
( spl4_276
| ~ spl4_7
| ~ spl4_9
| ~ spl4_62 ),
inference(avatar_split_clause,[],[f7762,f571,f230,f220,f7860]) ).
fof(f571,plain,
( spl4_62
<=> sK0 = sdtasdt0(sz10,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_62])]) ).
fof(f7762,plain,
( doDivides0(sz10,sK0)
| ~ spl4_7
| ~ spl4_9
| ~ spl4_62 ),
inference(subsumption_resolution,[],[f7761,f232]) ).
fof(f7761,plain,
( doDivides0(sz10,sK0)
| ~ aNaturalNumber0(sz10)
| ~ spl4_7
| ~ spl4_62 ),
inference(subsumption_resolution,[],[f7692,f222]) ).
fof(f7692,plain,
( doDivides0(sz10,sK0)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sz10)
| ~ spl4_62 ),
inference(superposition,[],[f1567,f573]) ).
fof(f573,plain,
( sK0 = sdtasdt0(sz10,sK0)
| ~ spl4_62 ),
inference(avatar_component_clause,[],[f571]) ).
fof(f7858,plain,
( spl4_275
| ~ spl4_2
| ~ spl4_9
| ~ spl4_61 ),
inference(avatar_split_clause,[],[f7760,f566,f230,f195,f7855]) ).
fof(f566,plain,
( spl4_61
<=> xq = sdtasdt0(sz10,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_61])]) ).
fof(f7760,plain,
( doDivides0(sz10,xq)
| ~ spl4_2
| ~ spl4_9
| ~ spl4_61 ),
inference(subsumption_resolution,[],[f7759,f232]) ).
fof(f7759,plain,
( doDivides0(sz10,xq)
| ~ aNaturalNumber0(sz10)
| ~ spl4_2
| ~ spl4_61 ),
inference(subsumption_resolution,[],[f7691,f197]) ).
fof(f7691,plain,
( doDivides0(sz10,xq)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz10)
| ~ spl4_61 ),
inference(superposition,[],[f1567,f568]) ).
fof(f568,plain,
( xq = sdtasdt0(sz10,xq)
| ~ spl4_61 ),
inference(avatar_component_clause,[],[f566]) ).
fof(f7835,plain,
( spl4_274
| ~ spl4_1
| ~ spl4_9
| ~ spl4_60 ),
inference(avatar_split_clause,[],[f7758,f561,f230,f190,f7832]) ).
fof(f561,plain,
( spl4_60
<=> xp = sdtasdt0(sz10,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_60])]) ).
fof(f7758,plain,
( doDivides0(sz10,xp)
| ~ spl4_1
| ~ spl4_9
| ~ spl4_60 ),
inference(subsumption_resolution,[],[f7757,f232]) ).
fof(f7757,plain,
( doDivides0(sz10,xp)
| ~ aNaturalNumber0(sz10)
| ~ spl4_1
| ~ spl4_60 ),
inference(subsumption_resolution,[],[f7690,f192]) ).
fof(f7690,plain,
( doDivides0(sz10,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz10)
| ~ spl4_60 ),
inference(superposition,[],[f1567,f563]) ).
fof(f563,plain,
( xp = sdtasdt0(sz10,xp)
| ~ spl4_60 ),
inference(avatar_component_clause,[],[f561]) ).
fof(f7830,plain,
( spl4_273
| ~ spl4_5
| ~ spl4_9
| ~ spl4_59 ),
inference(avatar_split_clause,[],[f7756,f556,f230,f210,f7827]) ).
fof(f556,plain,
( spl4_59
<=> xn = sdtasdt0(sz10,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_59])]) ).
fof(f7756,plain,
( doDivides0(sz10,xn)
| ~ spl4_5
| ~ spl4_9
| ~ spl4_59 ),
inference(subsumption_resolution,[],[f7755,f232]) ).
fof(f7755,plain,
( doDivides0(sz10,xn)
| ~ aNaturalNumber0(sz10)
| ~ spl4_5
| ~ spl4_59 ),
inference(subsumption_resolution,[],[f7689,f212]) ).
fof(f7689,plain,
( doDivides0(sz10,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz10)
| ~ spl4_59 ),
inference(superposition,[],[f1567,f558]) ).
fof(f558,plain,
( xn = sdtasdt0(sz10,xn)
| ~ spl4_59 ),
inference(avatar_component_clause,[],[f556]) ).
fof(f7825,plain,
( spl4_272
| ~ spl4_4
| ~ spl4_9
| ~ spl4_58 ),
inference(avatar_split_clause,[],[f7754,f551,f230,f205,f7822]) ).
fof(f551,plain,
( spl4_58
<=> xm = sdtasdt0(sz10,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_58])]) ).
fof(f7754,plain,
( doDivides0(sz10,xm)
| ~ spl4_4
| ~ spl4_9
| ~ spl4_58 ),
inference(subsumption_resolution,[],[f7753,f232]) ).
fof(f7753,plain,
( doDivides0(sz10,xm)
| ~ aNaturalNumber0(sz10)
| ~ spl4_4
| ~ spl4_58 ),
inference(subsumption_resolution,[],[f7688,f207]) ).
fof(f7688,plain,
( doDivides0(sz10,xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz10)
| ~ spl4_58 ),
inference(superposition,[],[f1567,f553]) ).
fof(f553,plain,
( xm = sdtasdt0(sz10,xm)
| ~ spl4_58 ),
inference(avatar_component_clause,[],[f551]) ).
fof(f7820,plain,
( spl4_271
| ~ spl4_3
| ~ spl4_9
| ~ spl4_57 ),
inference(avatar_split_clause,[],[f7752,f546,f230,f200,f7817]) ).
fof(f546,plain,
( spl4_57
<=> xl = sdtasdt0(sz10,xl) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_57])]) ).
fof(f7752,plain,
( doDivides0(sz10,xl)
| ~ spl4_3
| ~ spl4_9
| ~ spl4_57 ),
inference(subsumption_resolution,[],[f7751,f232]) ).
fof(f7751,plain,
( doDivides0(sz10,xl)
| ~ aNaturalNumber0(sz10)
| ~ spl4_3
| ~ spl4_57 ),
inference(subsumption_resolution,[],[f7687,f202]) ).
fof(f7687,plain,
( doDivides0(sz10,xl)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sz10)
| ~ spl4_57 ),
inference(superposition,[],[f1567,f548]) ).
fof(f548,plain,
( xl = sdtasdt0(sz10,xl)
| ~ spl4_57 ),
inference(avatar_component_clause,[],[f546]) ).
fof(f7815,plain,
( spl4_270
| ~ spl4_6
| ~ spl4_8
| ~ spl4_34 ),
inference(avatar_split_clause,[],[f7749,f382,f225,f215,f7806]) ).
fof(f382,plain,
( spl4_34
<=> sz00 = sdtasdt0(sz00,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_34])]) ).
fof(f7749,plain,
( doDivides0(sz00,sz00)
| ~ spl4_6
| ~ spl4_8
| ~ spl4_34 ),
inference(subsumption_resolution,[],[f7748,f227]) ).
fof(f7748,plain,
( doDivides0(sz00,sz00)
| ~ aNaturalNumber0(sz00)
| ~ spl4_6
| ~ spl4_34 ),
inference(subsumption_resolution,[],[f7684,f217]) ).
fof(f7684,plain,
( doDivides0(sz00,sz00)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sz00)
| ~ spl4_34 ),
inference(superposition,[],[f1567,f384]) ).
fof(f384,plain,
( sz00 = sdtasdt0(sz00,sK1)
| ~ spl4_34 ),
inference(avatar_component_clause,[],[f382]) ).
fof(f7814,plain,
( spl4_270
| ~ spl4_7
| ~ spl4_8
| ~ spl4_33 ),
inference(avatar_split_clause,[],[f7747,f377,f225,f220,f7806]) ).
fof(f377,plain,
( spl4_33
<=> sz00 = sdtasdt0(sz00,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_33])]) ).
fof(f7747,plain,
( doDivides0(sz00,sz00)
| ~ spl4_7
| ~ spl4_8
| ~ spl4_33 ),
inference(subsumption_resolution,[],[f7746,f227]) ).
fof(f7746,plain,
( doDivides0(sz00,sz00)
| ~ aNaturalNumber0(sz00)
| ~ spl4_7
| ~ spl4_33 ),
inference(subsumption_resolution,[],[f7683,f222]) ).
fof(f7683,plain,
( doDivides0(sz00,sz00)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sz00)
| ~ spl4_33 ),
inference(superposition,[],[f1567,f379]) ).
fof(f379,plain,
( sz00 = sdtasdt0(sz00,sK0)
| ~ spl4_33 ),
inference(avatar_component_clause,[],[f377]) ).
fof(f7813,plain,
( spl4_270
| ~ spl4_2
| ~ spl4_8
| ~ spl4_32 ),
inference(avatar_split_clause,[],[f7745,f372,f225,f195,f7806]) ).
fof(f372,plain,
( spl4_32
<=> sz00 = sdtasdt0(sz00,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_32])]) ).
fof(f7745,plain,
( doDivides0(sz00,sz00)
| ~ spl4_2
| ~ spl4_8
| ~ spl4_32 ),
inference(subsumption_resolution,[],[f7744,f227]) ).
fof(f7744,plain,
( doDivides0(sz00,sz00)
| ~ aNaturalNumber0(sz00)
| ~ spl4_2
| ~ spl4_32 ),
inference(subsumption_resolution,[],[f7682,f197]) ).
fof(f7682,plain,
( doDivides0(sz00,sz00)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ spl4_32 ),
inference(superposition,[],[f1567,f374]) ).
fof(f374,plain,
( sz00 = sdtasdt0(sz00,xq)
| ~ spl4_32 ),
inference(avatar_component_clause,[],[f372]) ).
fof(f7812,plain,
( spl4_270
| ~ spl4_1
| ~ spl4_8
| ~ spl4_31 ),
inference(avatar_split_clause,[],[f7743,f358,f225,f190,f7806]) ).
fof(f358,plain,
( spl4_31
<=> sz00 = sdtasdt0(sz00,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_31])]) ).
fof(f7743,plain,
( doDivides0(sz00,sz00)
| ~ spl4_1
| ~ spl4_8
| ~ spl4_31 ),
inference(subsumption_resolution,[],[f7742,f227]) ).
fof(f7742,plain,
( doDivides0(sz00,sz00)
| ~ aNaturalNumber0(sz00)
| ~ spl4_1
| ~ spl4_31 ),
inference(subsumption_resolution,[],[f7681,f192]) ).
fof(f7681,plain,
( doDivides0(sz00,sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ spl4_31 ),
inference(superposition,[],[f1567,f360]) ).
fof(f360,plain,
( sz00 = sdtasdt0(sz00,xp)
| ~ spl4_31 ),
inference(avatar_component_clause,[],[f358]) ).
fof(f7811,plain,
( spl4_270
| ~ spl4_5
| ~ spl4_8
| ~ spl4_30 ),
inference(avatar_split_clause,[],[f7741,f353,f225,f210,f7806]) ).
fof(f353,plain,
( spl4_30
<=> sz00 = sdtasdt0(sz00,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_30])]) ).
fof(f7741,plain,
( doDivides0(sz00,sz00)
| ~ spl4_5
| ~ spl4_8
| ~ spl4_30 ),
inference(subsumption_resolution,[],[f7740,f227]) ).
fof(f7740,plain,
( doDivides0(sz00,sz00)
| ~ aNaturalNumber0(sz00)
| ~ spl4_5
| ~ spl4_30 ),
inference(subsumption_resolution,[],[f7680,f212]) ).
fof(f7680,plain,
( doDivides0(sz00,sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz00)
| ~ spl4_30 ),
inference(superposition,[],[f1567,f355]) ).
fof(f355,plain,
( sz00 = sdtasdt0(sz00,xn)
| ~ spl4_30 ),
inference(avatar_component_clause,[],[f353]) ).
fof(f7810,plain,
( spl4_270
| ~ spl4_4
| ~ spl4_8
| ~ spl4_29 ),
inference(avatar_split_clause,[],[f7739,f348,f225,f205,f7806]) ).
fof(f348,plain,
( spl4_29
<=> sz00 = sdtasdt0(sz00,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_29])]) ).
fof(f7739,plain,
( doDivides0(sz00,sz00)
| ~ spl4_4
| ~ spl4_8
| ~ spl4_29 ),
inference(subsumption_resolution,[],[f7738,f227]) ).
fof(f7738,plain,
( doDivides0(sz00,sz00)
| ~ aNaturalNumber0(sz00)
| ~ spl4_4
| ~ spl4_29 ),
inference(subsumption_resolution,[],[f7679,f207]) ).
fof(f7679,plain,
( doDivides0(sz00,sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00)
| ~ spl4_29 ),
inference(superposition,[],[f1567,f350]) ).
fof(f350,plain,
( sz00 = sdtasdt0(sz00,xm)
| ~ spl4_29 ),
inference(avatar_component_clause,[],[f348]) ).
fof(f7809,plain,
( spl4_270
| ~ spl4_3
| ~ spl4_8
| ~ spl4_28 ),
inference(avatar_split_clause,[],[f7737,f343,f225,f200,f7806]) ).
fof(f343,plain,
( spl4_28
<=> sz00 = sdtasdt0(sz00,xl) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_28])]) ).
fof(f7737,plain,
( doDivides0(sz00,sz00)
| ~ spl4_3
| ~ spl4_8
| ~ spl4_28 ),
inference(subsumption_resolution,[],[f7736,f227]) ).
fof(f7736,plain,
( doDivides0(sz00,sz00)
| ~ aNaturalNumber0(sz00)
| ~ spl4_3
| ~ spl4_28 ),
inference(subsumption_resolution,[],[f7678,f202]) ).
fof(f7678,plain,
( doDivides0(sz00,sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sz00)
| ~ spl4_28 ),
inference(superposition,[],[f1567,f345]) ).
fof(f345,plain,
( sz00 = sdtasdt0(sz00,xl)
| ~ spl4_28 ),
inference(avatar_component_clause,[],[f343]) ).
fof(f7663,plain,
( spl4_269
| ~ spl4_4
| ~ spl4_5
| spl4_106
| ~ spl4_238 ),
inference(avatar_split_clause,[],[f7641,f6819,f1148,f210,f205,f7660]) ).
fof(f7641,plain,
( sdtlseqdt0(xn,sdtasdt0(xm,xn))
| ~ spl4_4
| ~ spl4_5
| spl4_106
| ~ spl4_238 ),
inference(subsumption_resolution,[],[f7640,f207]) ).
fof(f7640,plain,
( sdtlseqdt0(xn,sdtasdt0(xm,xn))
| ~ aNaturalNumber0(xm)
| ~ spl4_5
| spl4_106
| ~ spl4_238 ),
inference(subsumption_resolution,[],[f7639,f212]) ).
fof(f7639,plain,
( sdtlseqdt0(xn,sdtasdt0(xm,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| spl4_106
| ~ spl4_238 ),
inference(subsumption_resolution,[],[f7619,f1149]) ).
fof(f7619,plain,
( sdtlseqdt0(xn,sdtasdt0(xm,xn))
| sz00 = xm
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ spl4_238 ),
inference(superposition,[],[f152,f6821]) ).
fof(f7604,plain,
( spl4_268
| ~ spl4_3
| ~ spl4_7
| spl4_11
| ~ spl4_237 ),
inference(avatar_split_clause,[],[f7582,f6813,f240,f220,f200,f7601]) ).
fof(f7601,plain,
( spl4_268
<=> sdtlseqdt0(sK0,sdtpldt0(xm,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_268])]) ).
fof(f7582,plain,
( sdtlseqdt0(sK0,sdtpldt0(xm,xn))
| ~ spl4_3
| ~ spl4_7
| spl4_11
| ~ spl4_237 ),
inference(subsumption_resolution,[],[f7581,f202]) ).
fof(f7581,plain,
( sdtlseqdt0(sK0,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xl)
| ~ spl4_7
| spl4_11
| ~ spl4_237 ),
inference(subsumption_resolution,[],[f7580,f222]) ).
fof(f7580,plain,
( sdtlseqdt0(sK0,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xl)
| spl4_11
| ~ spl4_237 ),
inference(subsumption_resolution,[],[f7560,f242]) ).
fof(f7560,plain,
( sdtlseqdt0(sK0,sdtpldt0(xm,xn))
| sz00 = xl
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xl)
| ~ spl4_237 ),
inference(superposition,[],[f152,f6815]) ).
fof(f7549,plain,
( ~ spl4_267
| ~ spl4_2
| ~ spl4_64
| spl4_167
| ~ spl4_266 ),
inference(avatar_split_clause,[],[f7544,f7531,f3482,f609,f195,f7546]) ).
fof(f7546,plain,
( spl4_267
<=> sdtlseqdt0(sdtpldt0(xm,xn),xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_267])]) ).
fof(f3482,plain,
( spl4_167
<=> sdtpldt0(xm,xn) = xq ),
introduced(avatar_definition,[new_symbols(naming,[spl4_167])]) ).
fof(f7531,plain,
( spl4_266
<=> sdtlseqdt0(xq,sdtpldt0(xm,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_266])]) ).
fof(f7544,plain,
( ~ sdtlseqdt0(sdtpldt0(xm,xn),xq)
| ~ spl4_2
| ~ spl4_64
| spl4_167
| ~ spl4_266 ),
inference(subsumption_resolution,[],[f7543,f611]) ).
fof(f7543,plain,
( ~ sdtlseqdt0(sdtpldt0(xm,xn),xq)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ spl4_2
| spl4_167
| ~ spl4_266 ),
inference(subsumption_resolution,[],[f7542,f197]) ).
fof(f7542,plain,
( ~ sdtlseqdt0(sdtpldt0(xm,xn),xq)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| spl4_167
| ~ spl4_266 ),
inference(subsumption_resolution,[],[f7537,f3484]) ).
fof(f3484,plain,
( sdtpldt0(xm,xn) != xq
| spl4_167 ),
inference(avatar_component_clause,[],[f3482]) ).
fof(f7537,plain,
( sdtpldt0(xm,xn) = xq
| ~ sdtlseqdt0(sdtpldt0(xm,xn),xq)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ spl4_266 ),
inference(resolution,[],[f7533,f167]) ).
fof(f7533,plain,
( sdtlseqdt0(xq,sdtpldt0(xm,xn))
| ~ spl4_266 ),
inference(avatar_component_clause,[],[f7531]) ).
fof(f7534,plain,
( spl4_266
| ~ spl4_2
| ~ spl4_3
| spl4_11
| ~ spl4_236 ),
inference(avatar_split_clause,[],[f7512,f6808,f240,f200,f195,f7531]) ).
fof(f7512,plain,
( sdtlseqdt0(xq,sdtpldt0(xm,xn))
| ~ spl4_2
| ~ spl4_3
| spl4_11
| ~ spl4_236 ),
inference(subsumption_resolution,[],[f7511,f202]) ).
fof(f7511,plain,
( sdtlseqdt0(xq,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xl)
| ~ spl4_2
| spl4_11
| ~ spl4_236 ),
inference(subsumption_resolution,[],[f7510,f197]) ).
fof(f7510,plain,
( sdtlseqdt0(xq,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl)
| spl4_11
| ~ spl4_236 ),
inference(subsumption_resolution,[],[f7490,f242]) ).
fof(f7490,plain,
( sdtlseqdt0(xq,sdtpldt0(xm,xn))
| sz00 = xl
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl)
| ~ spl4_236 ),
inference(superposition,[],[f152,f6810]) ).
fof(f7454,plain,
( ~ spl4_265
| ~ spl4_2
| ~ spl4_3
| ~ spl4_5
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64
| spl4_105
| ~ spl4_254
| ~ spl4_257 ),
inference(avatar_split_clause,[],[f7446,f7183,f7146,f1134,f609,f280,f270,f240,f210,f200,f195,f7451]) ).
fof(f7451,plain,
( spl4_265
<=> xq = sdtasdt0(xl,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_265])]) ).
fof(f7146,plain,
( spl4_254
<=> sdtlseqdt0(xn,sdtasdt0(xl,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_254])]) ).
fof(f7446,plain,
( xq != sdtasdt0(xl,xn)
| ~ spl4_2
| ~ spl4_3
| ~ spl4_5
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64
| spl4_105
| ~ spl4_254
| ~ spl4_257 ),
inference(subsumption_resolution,[],[f7445,f1136]) ).
fof(f7445,plain,
( xn = xq
| xq != sdtasdt0(xl,xn)
| ~ spl4_2
| ~ spl4_3
| ~ spl4_5
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64
| ~ spl4_254
| ~ spl4_257 ),
inference(inner_rewriting,[],[f7415]) ).
fof(f7415,plain,
( xn = sdtasdt0(xl,xn)
| xq != sdtasdt0(xl,xn)
| ~ spl4_2
| ~ spl4_3
| ~ spl4_5
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64
| ~ spl4_254
| ~ spl4_257 ),
inference(resolution,[],[f7377,f7148]) ).
fof(f7148,plain,
( sdtlseqdt0(xn,sdtasdt0(xl,xn))
| ~ spl4_254 ),
inference(avatar_component_clause,[],[f7146]) ).
fof(f7309,plain,
( spl4_264
| ~ spl4_2
| ~ spl4_5
| ~ spl4_257 ),
inference(avatar_split_clause,[],[f7193,f7183,f210,f195,f7306]) ).
fof(f7306,plain,
( spl4_264
<=> xn = sdtpldt0(xq,sK3(xq,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_264])]) ).
fof(f7193,plain,
( xn = sdtpldt0(xq,sK3(xq,xn))
| ~ spl4_2
| ~ spl4_5
| ~ spl4_257 ),
inference(subsumption_resolution,[],[f7192,f197]) ).
fof(f7192,plain,
( xn = sdtpldt0(xq,sK3(xq,xn))
| ~ aNaturalNumber0(xq)
| ~ spl4_5
| ~ spl4_257 ),
inference(subsumption_resolution,[],[f7188,f212]) ).
fof(f7188,plain,
( xn = sdtpldt0(xq,sK3(xq,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xq)
| ~ spl4_257 ),
inference(resolution,[],[f7185,f172]) ).
fof(f7272,plain,
( ~ spl4_263
| ~ spl4_3
| ~ spl4_5
| spl4_259 ),
inference(avatar_split_clause,[],[f7253,f7229,f210,f200,f7269]) ).
fof(f7269,plain,
( spl4_263
<=> xl = xn ),
introduced(avatar_definition,[new_symbols(naming,[spl4_263])]) ).
fof(f7229,plain,
( spl4_259
<=> sdtlseqdt0(xn,xl) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_259])]) ).
fof(f7253,plain,
( xl != xn
| ~ spl4_3
| ~ spl4_5
| spl4_259 ),
inference(subsumption_resolution,[],[f7252,f212]) ).
fof(f7252,plain,
( xl != xn
| ~ aNaturalNumber0(xn)
| ~ spl4_3
| spl4_259 ),
inference(subsumption_resolution,[],[f7247,f202]) ).
fof(f7247,plain,
( xl != xn
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xn)
| spl4_259 ),
inference(resolution,[],[f7231,f150]) ).
fof(f7231,plain,
( ~ sdtlseqdt0(xn,xl)
| spl4_259 ),
inference(avatar_component_clause,[],[f7229]) ).
fof(f7267,plain,
( spl4_262
| ~ spl4_3
| ~ spl4_5
| spl4_259 ),
inference(avatar_split_clause,[],[f7251,f7229,f210,f200,f7263]) ).
fof(f7251,plain,
( sdtlseqdt0(xl,xn)
| ~ spl4_3
| ~ spl4_5
| spl4_259 ),
inference(subsumption_resolution,[],[f7250,f202]) ).
fof(f7250,plain,
( sdtlseqdt0(xl,xn)
| ~ aNaturalNumber0(xl)
| ~ spl4_5
| spl4_259 ),
inference(subsumption_resolution,[],[f7246,f212]) ).
fof(f7246,plain,
( sdtlseqdt0(xl,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl)
| spl4_259 ),
inference(resolution,[],[f7231,f151]) ).
fof(f7266,plain,
( spl4_262
| ~ spl4_3
| ~ spl4_5
| spl4_259 ),
inference(avatar_split_clause,[],[f7249,f7229,f210,f200,f7263]) ).
fof(f7249,plain,
( sdtlseqdt0(xl,xn)
| ~ spl4_3
| ~ spl4_5
| spl4_259 ),
inference(subsumption_resolution,[],[f7248,f212]) ).
fof(f7248,plain,
( sdtlseqdt0(xl,xn)
| ~ aNaturalNumber0(xn)
| ~ spl4_3
| spl4_259 ),
inference(subsumption_resolution,[],[f7245,f202]) ).
fof(f7245,plain,
( sdtlseqdt0(xl,xn)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xn)
| spl4_259 ),
inference(resolution,[],[f7231,f151]) ).
fof(f7243,plain,
( ~ spl4_261
| ~ spl4_4
| ~ spl4_5
| spl4_256 ),
inference(avatar_split_clause,[],[f7181,f7162,f210,f205,f7240]) ).
fof(f7240,plain,
( spl4_261
<=> xm = xn ),
introduced(avatar_definition,[new_symbols(naming,[spl4_261])]) ).
fof(f7162,plain,
( spl4_256
<=> sdtlseqdt0(xn,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_256])]) ).
fof(f7181,plain,
( xm != xn
| ~ spl4_4
| ~ spl4_5
| spl4_256 ),
inference(subsumption_resolution,[],[f7180,f212]) ).
fof(f7180,plain,
( xm != xn
| ~ aNaturalNumber0(xn)
| ~ spl4_4
| spl4_256 ),
inference(subsumption_resolution,[],[f7173,f207]) ).
fof(f7173,plain,
( xm != xn
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| spl4_256 ),
inference(resolution,[],[f7163,f150]) ).
fof(f7163,plain,
( ~ sdtlseqdt0(xn,xm)
| spl4_256 ),
inference(avatar_component_clause,[],[f7162]) ).
fof(f7238,plain,
( spl4_260
| ~ spl4_4
| ~ spl4_5
| spl4_256 ),
inference(avatar_split_clause,[],[f7179,f7162,f210,f205,f7234]) ).
fof(f7179,plain,
( sdtlseqdt0(xm,xn)
| ~ spl4_4
| ~ spl4_5
| spl4_256 ),
inference(subsumption_resolution,[],[f7178,f207]) ).
fof(f7178,plain,
( sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(xm)
| ~ spl4_5
| spl4_256 ),
inference(subsumption_resolution,[],[f7172,f212]) ).
fof(f7172,plain,
( sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| spl4_256 ),
inference(resolution,[],[f7163,f151]) ).
fof(f7237,plain,
( spl4_260
| ~ spl4_4
| ~ spl4_5
| spl4_256 ),
inference(avatar_split_clause,[],[f7177,f7162,f210,f205,f7234]) ).
fof(f7177,plain,
( sdtlseqdt0(xm,xn)
| ~ spl4_4
| ~ spl4_5
| spl4_256 ),
inference(subsumption_resolution,[],[f7176,f212]) ).
fof(f7176,plain,
( sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(xn)
| ~ spl4_4
| spl4_256 ),
inference(subsumption_resolution,[],[f7171,f207]) ).
fof(f7171,plain,
( sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| spl4_256 ),
inference(resolution,[],[f7163,f151]) ).
fof(f7232,plain,
( ~ spl4_259
| ~ spl4_3
| ~ spl4_4
| ~ spl4_5
| ~ spl4_99
| spl4_256 ),
inference(avatar_split_clause,[],[f7175,f7162,f1001,f210,f205,f200,f7229]) ).
fof(f1001,plain,
( spl4_99
<=> sdtlseqdt0(xl,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_99])]) ).
fof(f7175,plain,
( ~ sdtlseqdt0(xn,xl)
| ~ spl4_3
| ~ spl4_4
| ~ spl4_5
| ~ spl4_99
| spl4_256 ),
inference(subsumption_resolution,[],[f7170,f212]) ).
fof(f7170,plain,
( ~ sdtlseqdt0(xn,xl)
| ~ aNaturalNumber0(xn)
| ~ spl4_3
| ~ spl4_4
| ~ spl4_99
| spl4_256 ),
inference(resolution,[],[f7163,f1998]) ).
fof(f1998,plain,
( ! [X25] :
( sdtlseqdt0(X25,xm)
| ~ sdtlseqdt0(X25,xl)
| ~ aNaturalNumber0(X25) )
| ~ spl4_3
| ~ spl4_4
| ~ spl4_99 ),
inference(subsumption_resolution,[],[f1997,f202]) ).
fof(f1997,plain,
( ! [X25] :
( sdtlseqdt0(X25,xm)
| ~ sdtlseqdt0(X25,xl)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X25) )
| ~ spl4_4
| ~ spl4_99 ),
inference(subsumption_resolution,[],[f1968,f207]) ).
fof(f1968,plain,
( ! [X25] :
( sdtlseqdt0(X25,xm)
| ~ sdtlseqdt0(X25,xl)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X25) )
| ~ spl4_99 ),
inference(resolution,[],[f184,f1003]) ).
fof(f1003,plain,
( sdtlseqdt0(xl,xm)
| ~ spl4_99 ),
inference(avatar_component_clause,[],[f1001]) ).
fof(f7201,plain,
( ~ spl4_258
| ~ spl4_2
| ~ spl4_5
| spl4_105
| ~ spl4_257 ),
inference(avatar_split_clause,[],[f7196,f7183,f1134,f210,f195,f7198]) ).
fof(f7198,plain,
( spl4_258
<=> sdtlseqdt0(xn,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_258])]) ).
fof(f7196,plain,
( ~ sdtlseqdt0(xn,xq)
| ~ spl4_2
| ~ spl4_5
| spl4_105
| ~ spl4_257 ),
inference(subsumption_resolution,[],[f7195,f212]) ).
fof(f7195,plain,
( ~ sdtlseqdt0(xn,xq)
| ~ aNaturalNumber0(xn)
| ~ spl4_2
| spl4_105
| ~ spl4_257 ),
inference(subsumption_resolution,[],[f7194,f197]) ).
fof(f7194,plain,
( ~ sdtlseqdt0(xn,xq)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn)
| spl4_105
| ~ spl4_257 ),
inference(subsumption_resolution,[],[f7189,f1136]) ).
fof(f7189,plain,
( xn = xq
| ~ sdtlseqdt0(xn,xq)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn)
| ~ spl4_257 ),
inference(resolution,[],[f7185,f167]) ).
fof(f7186,plain,
( spl4_257
| ~ spl4_2
| ~ spl4_4
| ~ spl4_5
| ~ spl4_226
| spl4_256 ),
inference(avatar_split_clause,[],[f7174,f7162,f6243,f210,f205,f195,f7183]) ).
fof(f7174,plain,
( sdtlseqdt0(xq,xn)
| ~ spl4_2
| ~ spl4_4
| ~ spl4_5
| ~ spl4_226
| spl4_256 ),
inference(subsumption_resolution,[],[f7166,f212]) ).
fof(f7166,plain,
( sdtlseqdt0(xq,xn)
| ~ aNaturalNumber0(xn)
| ~ spl4_2
| ~ spl4_4
| ~ spl4_226
| spl4_256 ),
inference(resolution,[],[f7163,f6383]) ).
fof(f6383,plain,
( ! [X2] :
( sdtlseqdt0(xq,X2)
| sdtlseqdt0(X2,xm)
| ~ aNaturalNumber0(X2) )
| ~ spl4_2
| ~ spl4_4
| ~ spl4_226 ),
inference(subsumption_resolution,[],[f6379,f197]) ).
fof(f6379,plain,
( ! [X2] :
( sdtlseqdt0(X2,xm)
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(xq,X2)
| ~ aNaturalNumber0(xq) )
| ~ spl4_2
| ~ spl4_4
| ~ spl4_226 ),
inference(duplicate_literal_removal,[],[f6359]) ).
fof(f6359,plain,
( ! [X2] :
( sdtlseqdt0(X2,xm)
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(xq,X2)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X2) )
| ~ spl4_2
| ~ spl4_4
| ~ spl4_226 ),
inference(resolution,[],[f6273,f151]) ).
fof(f7165,plain,
( ~ spl4_255
| spl4_256
| ~ spl4_3
| ~ spl4_4
| spl4_11
| ~ spl4_12
| ~ spl4_15
| ~ spl4_254 ),
inference(avatar_split_clause,[],[f7153,f7146,f260,f245,f240,f205,f200,f7162,f7158]) ).
fof(f7158,plain,
( spl4_255
<=> xn = xp ),
introduced(avatar_definition,[new_symbols(naming,[spl4_255])]) ).
fof(f7153,plain,
( sdtlseqdt0(xn,xm)
| xn != xp
| ~ spl4_3
| ~ spl4_4
| spl4_11
| ~ spl4_12
| ~ spl4_15
| ~ spl4_254 ),
inference(superposition,[],[f7148,f4694]) ).
fof(f7149,plain,
( spl4_254
| ~ spl4_3
| ~ spl4_5
| spl4_11
| ~ spl4_235 ),
inference(avatar_split_clause,[],[f7127,f6803,f240,f210,f200,f7146]) ).
fof(f7127,plain,
( sdtlseqdt0(xn,sdtasdt0(xl,xn))
| ~ spl4_3
| ~ spl4_5
| spl4_11
| ~ spl4_235 ),
inference(subsumption_resolution,[],[f7126,f202]) ).
fof(f7126,plain,
( sdtlseqdt0(xn,sdtasdt0(xl,xn))
| ~ aNaturalNumber0(xl)
| ~ spl4_5
| spl4_11
| ~ spl4_235 ),
inference(subsumption_resolution,[],[f7125,f212]) ).
fof(f7125,plain,
( sdtlseqdt0(xn,sdtasdt0(xl,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl)
| spl4_11
| ~ spl4_235 ),
inference(subsumption_resolution,[],[f7105,f242]) ).
fof(f7105,plain,
( sdtlseqdt0(xn,sdtasdt0(xl,xn))
| sz00 = xl
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl)
| ~ spl4_235 ),
inference(superposition,[],[f152,f6805]) ).
fof(f7074,plain,
( ~ spl4_253
| ~ spl4_2
| ~ spl4_3
| ~ spl4_4
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64
| spl4_104
| ~ spl4_226
| ~ spl4_252 ),
inference(avatar_split_clause,[],[f7066,f7056,f6243,f1129,f609,f280,f270,f240,f205,f200,f195,f7071]) ).
fof(f7071,plain,
( spl4_253
<=> xq = sdtasdt0(xl,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_253])]) ).
fof(f7056,plain,
( spl4_252
<=> sdtlseqdt0(xm,sdtasdt0(xl,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_252])]) ).
fof(f7066,plain,
( xq != sdtasdt0(xl,xm)
| ~ spl4_2
| ~ spl4_3
| ~ spl4_4
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64
| spl4_104
| ~ spl4_226
| ~ spl4_252 ),
inference(subsumption_resolution,[],[f7065,f1131]) ).
fof(f7065,plain,
( xm = xq
| xq != sdtasdt0(xl,xm)
| ~ spl4_2
| ~ spl4_3
| ~ spl4_4
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64
| ~ spl4_226
| ~ spl4_252 ),
inference(inner_rewriting,[],[f7060]) ).
fof(f7060,plain,
( xm = sdtasdt0(xl,xm)
| xq != sdtasdt0(xl,xm)
| ~ spl4_2
| ~ spl4_3
| ~ spl4_4
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_64
| ~ spl4_226
| ~ spl4_252 ),
inference(resolution,[],[f7058,f6395]) ).
fof(f7058,plain,
( sdtlseqdt0(xm,sdtasdt0(xl,xm))
| ~ spl4_252 ),
inference(avatar_component_clause,[],[f7056]) ).
fof(f7059,plain,
( spl4_252
| ~ spl4_3
| ~ spl4_4
| spl4_11
| ~ spl4_234 ),
inference(avatar_split_clause,[],[f7037,f6798,f240,f205,f200,f7056]) ).
fof(f7037,plain,
( sdtlseqdt0(xm,sdtasdt0(xl,xm))
| ~ spl4_3
| ~ spl4_4
| spl4_11
| ~ spl4_234 ),
inference(subsumption_resolution,[],[f7036,f202]) ).
fof(f7036,plain,
( sdtlseqdt0(xm,sdtasdt0(xl,xm))
| ~ aNaturalNumber0(xl)
| ~ spl4_4
| spl4_11
| ~ spl4_234 ),
inference(subsumption_resolution,[],[f7035,f207]) ).
fof(f7035,plain,
( sdtlseqdt0(xm,sdtasdt0(xl,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| spl4_11
| ~ spl4_234 ),
inference(subsumption_resolution,[],[f7015,f242]) ).
fof(f7015,plain,
( sdtlseqdt0(xm,sdtasdt0(xl,xm))
| sz00 = xl
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ spl4_234 ),
inference(superposition,[],[f152,f6800]) ).
fof(f7009,plain,
( spl4_236
| ~ spl4_2
| ~ spl4_3
| ~ spl4_18 ),
inference(avatar_split_clause,[],[f6792,f275,f200,f195,f6808]) ).
fof(f6792,plain,
( sdtpldt0(xm,xn) = sdtasdt0(xq,xl)
| ~ spl4_2
| ~ spl4_3
| ~ spl4_18 ),
inference(forward_demodulation,[],[f6779,f277]) ).
fof(f6779,plain,
( sdtasdt0(xl,xq) = sdtasdt0(xq,xl)
| ~ spl4_2
| ~ spl4_3 ),
inference(resolution,[],[f788,f202]) ).
fof(f7008,plain,
( spl4_251
| ~ spl4_2
| ~ spl4_6 ),
inference(avatar_split_clause,[],[f6785,f215,f195,f7005]) ).
fof(f7005,plain,
( spl4_251
<=> sdtasdt0(sK1,xq) = sdtasdt0(xq,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_251])]) ).
fof(f6785,plain,
( sdtasdt0(sK1,xq) = sdtasdt0(xq,sK1)
| ~ spl4_2
| ~ spl4_6 ),
inference(resolution,[],[f788,f217]) ).
fof(f7003,plain,
( spl4_250
| ~ spl4_2
| ~ spl4_7 ),
inference(avatar_split_clause,[],[f6784,f220,f195,f7000]) ).
fof(f6784,plain,
( sdtasdt0(sK0,xq) = sdtasdt0(xq,sK0)
| ~ spl4_2
| ~ spl4_7 ),
inference(resolution,[],[f788,f222]) ).
fof(f6998,plain,
( spl4_247
| ~ spl4_1
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f6782,f195,f190,f6959]) ).
fof(f6997,plain,
( spl4_244
| ~ spl4_2
| ~ spl4_5 ),
inference(avatar_split_clause,[],[f6781,f210,f195,f6874]) ).
fof(f6781,plain,
( sdtasdt0(xq,xn) = sdtasdt0(xn,xq)
| ~ spl4_2
| ~ spl4_5 ),
inference(resolution,[],[f788,f212]) ).
fof(f6996,plain,
( spl4_240
| ~ spl4_2
| ~ spl4_4 ),
inference(avatar_split_clause,[],[f6780,f205,f195,f6829]) ).
fof(f6995,plain,
( spl4_249
| ~ spl4_1
| ~ spl4_6 ),
inference(avatar_split_clause,[],[f6482,f215,f190,f6992]) ).
fof(f6992,plain,
( spl4_249
<=> sdtasdt0(sK1,xp) = sdtasdt0(xp,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_249])]) ).
fof(f6482,plain,
( sdtasdt0(sK1,xp) = sdtasdt0(xp,sK1)
| ~ spl4_1
| ~ spl4_6 ),
inference(resolution,[],[f787,f217]) ).
fof(f6967,plain,
( spl4_248
| ~ spl4_1
| ~ spl4_7 ),
inference(avatar_split_clause,[],[f6481,f220,f190,f6964]) ).
fof(f6481,plain,
( sdtasdt0(sK0,xp) = sdtasdt0(xp,sK0)
| ~ spl4_1
| ~ spl4_7 ),
inference(resolution,[],[f787,f222]) ).
fof(f6962,plain,
( spl4_247
| ~ spl4_1
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f6480,f195,f190,f6959]) ).
fof(f6957,plain,
( spl4_243
| ~ spl4_1
| ~ spl4_5 ),
inference(avatar_split_clause,[],[f6478,f210,f190,f6869]) ).
fof(f6478,plain,
( sdtasdt0(xp,xn) = sdtasdt0(xn,xp)
| ~ spl4_1
| ~ spl4_5 ),
inference(resolution,[],[f787,f212]) ).
fof(f6956,plain,
( spl4_239
| ~ spl4_1
| ~ spl4_4 ),
inference(avatar_split_clause,[],[f6477,f205,f190,f6824]) ).
fof(f6887,plain,
( spl4_246
| ~ spl4_5
| ~ spl4_6 ),
inference(avatar_split_clause,[],[f6345,f215,f210,f6884]) ).
fof(f6884,plain,
( spl4_246
<=> sdtasdt0(sK1,xn) = sdtasdt0(xn,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_246])]) ).
fof(f6345,plain,
( sdtasdt0(sK1,xn) = sdtasdt0(xn,sK1)
| ~ spl4_5
| ~ spl4_6 ),
inference(resolution,[],[f786,f217]) ).
fof(f786,plain,
( ! [X11] :
( ~ aNaturalNumber0(X11)
| sdtasdt0(X11,xn) = sdtasdt0(xn,X11) )
| ~ spl4_5 ),
inference(resolution,[],[f149,f212]) ).
fof(f6882,plain,
( spl4_245
| ~ spl4_5
| ~ spl4_7 ),
inference(avatar_split_clause,[],[f6344,f220,f210,f6879]) ).
fof(f6344,plain,
( sdtasdt0(sK0,xn) = sdtasdt0(xn,sK0)
| ~ spl4_5
| ~ spl4_7 ),
inference(resolution,[],[f786,f222]) ).
fof(f6877,plain,
( spl4_244
| ~ spl4_2
| ~ spl4_5 ),
inference(avatar_split_clause,[],[f6343,f210,f195,f6874]) ).
fof(f6343,plain,
( sdtasdt0(xq,xn) = sdtasdt0(xn,xq)
| ~ spl4_2
| ~ spl4_5 ),
inference(resolution,[],[f786,f197]) ).
fof(f6872,plain,
( spl4_243
| ~ spl4_1
| ~ spl4_5 ),
inference(avatar_split_clause,[],[f6342,f210,f190,f6869]) ).
fof(f6342,plain,
( sdtasdt0(xp,xn) = sdtasdt0(xn,xp)
| ~ spl4_1
| ~ spl4_5 ),
inference(resolution,[],[f786,f192]) ).
fof(f6867,plain,
( spl4_238
| ~ spl4_4
| ~ spl4_5 ),
inference(avatar_split_clause,[],[f6340,f210,f205,f6819]) ).
fof(f6340,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xm,xn)
| ~ spl4_4
| ~ spl4_5 ),
inference(resolution,[],[f786,f207]) ).
fof(f6843,plain,
( spl4_235
| ~ spl4_3
| ~ spl4_5 ),
inference(avatar_split_clause,[],[f6339,f210,f200,f6803]) ).
fof(f6339,plain,
( sdtasdt0(xn,xl) = sdtasdt0(xl,xn)
| ~ spl4_3
| ~ spl4_5 ),
inference(resolution,[],[f786,f202]) ).
fof(f6842,plain,
( spl4_242
| ~ spl4_4
| ~ spl4_6 ),
inference(avatar_split_clause,[],[f6258,f215,f205,f6839]) ).
fof(f6839,plain,
( spl4_242
<=> sdtasdt0(sK1,xm) = sdtasdt0(xm,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_242])]) ).
fof(f6258,plain,
( sdtasdt0(sK1,xm) = sdtasdt0(xm,sK1)
| ~ spl4_4
| ~ spl4_6 ),
inference(resolution,[],[f785,f217]) ).
fof(f6837,plain,
( spl4_241
| ~ spl4_4
| ~ spl4_7 ),
inference(avatar_split_clause,[],[f6257,f220,f205,f6834]) ).
fof(f6257,plain,
( sdtasdt0(sK0,xm) = sdtasdt0(xm,sK0)
| ~ spl4_4
| ~ spl4_7 ),
inference(resolution,[],[f785,f222]) ).
fof(f6832,plain,
( spl4_240
| ~ spl4_2
| ~ spl4_4 ),
inference(avatar_split_clause,[],[f6256,f205,f195,f6829]) ).
fof(f6827,plain,
( spl4_239
| ~ spl4_1
| ~ spl4_4 ),
inference(avatar_split_clause,[],[f6255,f205,f190,f6824]) ).
fof(f6822,plain,
( spl4_238
| ~ spl4_4
| ~ spl4_5 ),
inference(avatar_split_clause,[],[f6254,f210,f205,f6819]) ).
fof(f6254,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xm,xn)
| ~ spl4_4
| ~ spl4_5 ),
inference(resolution,[],[f785,f212]) ).
fof(f6817,plain,
( spl4_234
| ~ spl4_3
| ~ spl4_4 ),
inference(avatar_split_clause,[],[f6252,f205,f200,f6798]) ).
fof(f6816,plain,
( spl4_237
| ~ spl4_3
| ~ spl4_7
| ~ spl4_20 ),
inference(avatar_split_clause,[],[f6089,f285,f220,f200,f6813]) ).
fof(f6089,plain,
( sdtpldt0(xm,xn) = sdtasdt0(sK0,xl)
| ~ spl4_3
| ~ spl4_7
| ~ spl4_20 ),
inference(forward_demodulation,[],[f6079,f287]) ).
fof(f6079,plain,
( sdtasdt0(xl,sK0) = sdtasdt0(sK0,xl)
| ~ spl4_3
| ~ spl4_7 ),
inference(resolution,[],[f784,f222]) ).
fof(f6811,plain,
( spl4_236
| ~ spl4_2
| ~ spl4_3
| ~ spl4_18 ),
inference(avatar_split_clause,[],[f6088,f275,f200,f195,f6808]) ).
fof(f6088,plain,
( sdtpldt0(xm,xn) = sdtasdt0(xq,xl)
| ~ spl4_2
| ~ spl4_3
| ~ spl4_18 ),
inference(forward_demodulation,[],[f6078,f277]) ).
fof(f6078,plain,
( sdtasdt0(xl,xq) = sdtasdt0(xq,xl)
| ~ spl4_2
| ~ spl4_3 ),
inference(resolution,[],[f784,f197]) ).
fof(f6806,plain,
( spl4_235
| ~ spl4_3
| ~ spl4_5 ),
inference(avatar_split_clause,[],[f6076,f210,f200,f6803]) ).
fof(f6076,plain,
( sdtasdt0(xn,xl) = sdtasdt0(xl,xn)
| ~ spl4_3
| ~ spl4_5 ),
inference(resolution,[],[f784,f212]) ).
fof(f6801,plain,
( spl4_234
| ~ spl4_3
| ~ spl4_4 ),
inference(avatar_split_clause,[],[f6075,f205,f200,f6798]) ).
fof(f6535,plain,
( ~ spl4_233
| ~ spl4_9
| ~ spl4_212 ),
inference(avatar_split_clause,[],[f6510,f6028,f230,f6532]) ).
fof(f6532,plain,
( spl4_233
<=> xq = sdtpldt0(sz10,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_233])]) ).
fof(f6510,plain,
( xq != sdtpldt0(sz10,xp)
| ~ spl4_9
| ~ spl4_212 ),
inference(subsumption_resolution,[],[f6495,f232]) ).
fof(f6495,plain,
( xq != sdtpldt0(sz10,xp)
| ~ aNaturalNumber0(sz10)
| ~ spl4_212 ),
inference(superposition,[],[f114,f6030]) ).
fof(f6494,plain,
( spl4_231
| ~ spl4_6
| ~ spl4_7 ),
inference(avatar_split_clause,[],[f6015,f220,f215,f6460]) ).
fof(f6015,plain,
( sdtpldt0(sK1,sK0) = sdtpldt0(sK0,sK1)
| ~ spl4_6
| ~ spl4_7 ),
inference(resolution,[],[f727,f222]) ).
fof(f727,plain,
( ! [X15] :
( ~ aNaturalNumber0(X15)
| sdtpldt0(X15,sK1) = sdtpldt0(sK1,X15) )
| ~ spl4_6 ),
inference(resolution,[],[f148,f217]) ).
fof(f6470,plain,
( spl4_218
| ~ spl4_2
| ~ spl4_6 ),
inference(avatar_split_clause,[],[f6014,f215,f195,f6059]) ).
fof(f6014,plain,
( sdtpldt0(sK1,xq) = sdtpldt0(xq,sK1)
| ~ spl4_2
| ~ spl4_6 ),
inference(resolution,[],[f727,f197]) ).
fof(f6469,plain,
( spl4_215
| ~ spl4_1
| ~ spl4_6 ),
inference(avatar_split_clause,[],[f6013,f215,f190,f6043]) ).
fof(f6013,plain,
( sdtpldt0(sK1,xp) = sdtpldt0(xp,sK1)
| ~ spl4_1
| ~ spl4_6 ),
inference(resolution,[],[f727,f192]) ).
fof(f6468,plain,
( spl4_232
| ~ spl4_6
| ~ spl4_9 ),
inference(avatar_split_clause,[],[f6006,f230,f215,f6465]) ).
fof(f6006,plain,
( sdtpldt0(sz10,sK1) = sdtpldt0(sK1,sz10)
| ~ spl4_6
| ~ spl4_9 ),
inference(resolution,[],[f727,f232]) ).
fof(f6463,plain,
( spl4_231
| ~ spl4_6
| ~ spl4_7 ),
inference(avatar_split_clause,[],[f5967,f220,f215,f6460]) ).
fof(f5967,plain,
( sdtpldt0(sK1,sK0) = sdtpldt0(sK0,sK1)
| ~ spl4_6
| ~ spl4_7 ),
inference(resolution,[],[f726,f217]) ).
fof(f726,plain,
( ! [X14] :
( ~ aNaturalNumber0(X14)
| sdtpldt0(X14,sK0) = sdtpldt0(sK0,X14) )
| ~ spl4_7 ),
inference(resolution,[],[f148,f222]) ).
fof(f6458,plain,
( spl4_217
| ~ spl4_2
| ~ spl4_7 ),
inference(avatar_split_clause,[],[f5965,f220,f195,f6054]) ).
fof(f5965,plain,
( sdtpldt0(sK0,xq) = sdtpldt0(xq,sK0)
| ~ spl4_2
| ~ spl4_7 ),
inference(resolution,[],[f726,f197]) ).
fof(f6327,plain,
( ~ spl4_229
| spl4_230
| ~ spl4_4
| ~ spl4_6
| ~ spl4_223 ),
inference(avatar_split_clause,[],[f6222,f6210,f215,f205,f6324,f6320]) ).
fof(f6320,plain,
( spl4_229
<=> sdtlseqdt0(xm,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_229])]) ).
fof(f6324,plain,
( spl4_230
<=> xm = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_230])]) ).
fof(f6210,plain,
( spl4_223
<=> sdtlseqdt0(sK1,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_223])]) ).
fof(f6222,plain,
( xm = sK1
| ~ sdtlseqdt0(xm,sK1)
| ~ spl4_4
| ~ spl4_6
| ~ spl4_223 ),
inference(subsumption_resolution,[],[f6221,f207]) ).
fof(f6221,plain,
( xm = sK1
| ~ sdtlseqdt0(xm,sK1)
| ~ aNaturalNumber0(xm)
| ~ spl4_6
| ~ spl4_223 ),
inference(subsumption_resolution,[],[f6216,f217]) ).
fof(f6216,plain,
( xm = sK1
| ~ sdtlseqdt0(xm,sK1)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xm)
| ~ spl4_223 ),
inference(resolution,[],[f6212,f167]) ).
fof(f6212,plain,
( sdtlseqdt0(sK1,xm)
| ~ spl4_223 ),
inference(avatar_component_clause,[],[f6210]) ).
fof(f6293,plain,
( spl4_228
| ~ spl4_2
| ~ spl4_4
| ~ spl4_226 ),
inference(avatar_split_clause,[],[f6275,f6243,f205,f195,f6290]) ).
fof(f6290,plain,
( spl4_228
<=> xm = sdtpldt0(xq,sK3(xq,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_228])]) ).
fof(f6275,plain,
( xm = sdtpldt0(xq,sK3(xq,xm))
| ~ spl4_2
| ~ spl4_4
| ~ spl4_226 ),
inference(subsumption_resolution,[],[f6274,f197]) ).
fof(f6274,plain,
( xm = sdtpldt0(xq,sK3(xq,xm))
| ~ aNaturalNumber0(xq)
| ~ spl4_4
| ~ spl4_226 ),
inference(subsumption_resolution,[],[f6270,f207]) ).
fof(f6270,plain,
( xm = sdtpldt0(xq,sK3(xq,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xq)
| ~ spl4_226 ),
inference(resolution,[],[f6245,f172]) ).
fof(f6283,plain,
( ~ spl4_227
| ~ spl4_2
| ~ spl4_4
| spl4_104
| ~ spl4_226 ),
inference(avatar_split_clause,[],[f6278,f6243,f1129,f205,f195,f6280]) ).
fof(f6280,plain,
( spl4_227
<=> sdtlseqdt0(xm,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_227])]) ).
fof(f6278,plain,
( ~ sdtlseqdt0(xm,xq)
| ~ spl4_2
| ~ spl4_4
| spl4_104
| ~ spl4_226 ),
inference(subsumption_resolution,[],[f6277,f207]) ).
fof(f6277,plain,
( ~ sdtlseqdt0(xm,xq)
| ~ aNaturalNumber0(xm)
| ~ spl4_2
| spl4_104
| ~ spl4_226 ),
inference(subsumption_resolution,[],[f6276,f197]) ).
fof(f6276,plain,
( ~ sdtlseqdt0(xm,xq)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm)
| spl4_104
| ~ spl4_226 ),
inference(subsumption_resolution,[],[f6271,f1131]) ).
fof(f6271,plain,
( xm = xq
| ~ sdtlseqdt0(xm,xq)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm)
| ~ spl4_226 ),
inference(resolution,[],[f6245,f167]) ).
fof(f6246,plain,
( spl4_226
| ~ spl4_1
| ~ spl4_2
| ~ spl4_4
| ~ spl4_69
| spl4_224 ),
inference(avatar_split_clause,[],[f6239,f6224,f665,f205,f195,f190,f6243]) ).
fof(f6224,plain,
( spl4_224
<=> sdtlseqdt0(xm,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_224])]) ).
fof(f6239,plain,
( sdtlseqdt0(xq,xm)
| ~ spl4_1
| ~ spl4_2
| ~ spl4_4
| ~ spl4_69
| spl4_224 ),
inference(subsumption_resolution,[],[f6235,f207]) ).
fof(f6235,plain,
( sdtlseqdt0(xq,xm)
| ~ aNaturalNumber0(xm)
| ~ spl4_1
| ~ spl4_2
| ~ spl4_69
| spl4_224 ),
inference(resolution,[],[f6226,f2286]) ).
fof(f6226,plain,
( ~ sdtlseqdt0(xm,xp)
| spl4_224 ),
inference(avatar_component_clause,[],[f6224]) ).
fof(f6231,plain,
( ~ spl4_224
| spl4_225
| ~ spl4_1
| ~ spl4_4
| ~ spl4_222 ),
inference(avatar_split_clause,[],[f6163,f6151,f205,f190,f6228,f6224]) ).
fof(f6228,plain,
( spl4_225
<=> xm = xp ),
introduced(avatar_definition,[new_symbols(naming,[spl4_225])]) ).
fof(f6163,plain,
( xm = xp
| ~ sdtlseqdt0(xm,xp)
| ~ spl4_1
| ~ spl4_4
| ~ spl4_222 ),
inference(subsumption_resolution,[],[f6162,f207]) ).
fof(f6162,plain,
( xm = xp
| ~ sdtlseqdt0(xm,xp)
| ~ aNaturalNumber0(xm)
| ~ spl4_1
| ~ spl4_222 ),
inference(subsumption_resolution,[],[f6157,f192]) ).
fof(f6157,plain,
( xm = xp
| ~ sdtlseqdt0(xm,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ spl4_222 ),
inference(resolution,[],[f6153,f167]) ).
fof(f6213,plain,
( spl4_223
| ~ spl4_3
| ~ spl4_6
| spl4_11
| ~ spl4_221 ),
inference(avatar_split_clause,[],[f6191,f6101,f240,f215,f200,f6210]) ).
fof(f6191,plain,
( sdtlseqdt0(sK1,xm)
| ~ spl4_3
| ~ spl4_6
| spl4_11
| ~ spl4_221 ),
inference(subsumption_resolution,[],[f6190,f202]) ).
fof(f6190,plain,
( sdtlseqdt0(sK1,xm)
| ~ aNaturalNumber0(xl)
| ~ spl4_6
| spl4_11
| ~ spl4_221 ),
inference(subsumption_resolution,[],[f6189,f217]) ).
fof(f6189,plain,
( sdtlseqdt0(sK1,xm)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xl)
| spl4_11
| ~ spl4_221 ),
inference(subsumption_resolution,[],[f6169,f242]) ).
fof(f6169,plain,
( sdtlseqdt0(sK1,xm)
| sz00 = xl
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xl)
| ~ spl4_221 ),
inference(superposition,[],[f152,f6103]) ).
fof(f6154,plain,
( spl4_222
| ~ spl4_1
| ~ spl4_3
| spl4_11
| ~ spl4_220 ),
inference(avatar_split_clause,[],[f6132,f6096,f240,f200,f190,f6151]) ).
fof(f6132,plain,
( sdtlseqdt0(xp,xm)
| ~ spl4_1
| ~ spl4_3
| spl4_11
| ~ spl4_220 ),
inference(subsumption_resolution,[],[f6131,f202]) ).
fof(f6131,plain,
( sdtlseqdt0(xp,xm)
| ~ aNaturalNumber0(xl)
| ~ spl4_1
| spl4_11
| ~ spl4_220 ),
inference(subsumption_resolution,[],[f6130,f192]) ).
fof(f6130,plain,
( sdtlseqdt0(xp,xm)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| spl4_11
| ~ spl4_220 ),
inference(subsumption_resolution,[],[f6110,f242]) ).
fof(f6110,plain,
( sdtlseqdt0(xp,xm)
| sz00 = xl
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ spl4_220 ),
inference(superposition,[],[f152,f6098]) ).
fof(f6104,plain,
( spl4_221
| ~ spl4_3
| ~ spl4_6
| ~ spl4_16 ),
inference(avatar_split_clause,[],[f6090,f265,f215,f200,f6101]) ).
fof(f6090,plain,
( xm = sdtasdt0(sK1,xl)
| ~ spl4_3
| ~ spl4_6
| ~ spl4_16 ),
inference(forward_demodulation,[],[f6080,f267]) ).
fof(f6080,plain,
( sdtasdt0(xl,sK1) = sdtasdt0(sK1,xl)
| ~ spl4_3
| ~ spl4_6 ),
inference(resolution,[],[f784,f217]) ).
fof(f6099,plain,
( spl4_220
| ~ spl4_1
| ~ spl4_3
| ~ spl4_14 ),
inference(avatar_split_clause,[],[f6087,f255,f200,f190,f6096]) ).
fof(f6087,plain,
( xm = sdtasdt0(xp,xl)
| ~ spl4_1
| ~ spl4_3
| ~ spl4_14 ),
inference(forward_demodulation,[],[f6077,f257]) ).
fof(f6077,plain,
( sdtasdt0(xl,xp) = sdtasdt0(xp,xl)
| ~ spl4_1
| ~ spl4_3 ),
inference(resolution,[],[f784,f192]) ).
fof(f6068,plain,
( spl4_214
| ~ spl4_1
| ~ spl4_7 ),
inference(avatar_split_clause,[],[f5964,f220,f190,f6038]) ).
fof(f5964,plain,
( sdtpldt0(sK0,xp) = sdtpldt0(xp,sK0)
| ~ spl4_1
| ~ spl4_7 ),
inference(resolution,[],[f726,f192]) ).
fof(f6067,plain,
( spl4_219
| ~ spl4_7
| ~ spl4_9 ),
inference(avatar_split_clause,[],[f5957,f230,f220,f6064]) ).
fof(f5957,plain,
( sdtpldt0(sz10,sK0) = sdtpldt0(sK0,sz10)
| ~ spl4_7
| ~ spl4_9 ),
inference(resolution,[],[f726,f232]) ).
fof(f6062,plain,
( spl4_218
| ~ spl4_2
| ~ spl4_6 ),
inference(avatar_split_clause,[],[f5933,f215,f195,f6059]) ).
fof(f5933,plain,
( sdtpldt0(sK1,xq) = sdtpldt0(xq,sK1)
| ~ spl4_2
| ~ spl4_6 ),
inference(resolution,[],[f725,f217]) ).
fof(f6057,plain,
( spl4_217
| ~ spl4_2
| ~ spl4_7 ),
inference(avatar_split_clause,[],[f5932,f220,f195,f6054]) ).
fof(f5932,plain,
( sdtpldt0(sK0,xq) = sdtpldt0(xq,sK0)
| ~ spl4_2
| ~ spl4_7 ),
inference(resolution,[],[f725,f222]) ).
fof(f6052,plain,
( spl4_213
| ~ spl4_1
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f5930,f195,f190,f6033]) ).
fof(f6051,plain,
( spl4_216
| ~ spl4_2
| ~ spl4_9 ),
inference(avatar_split_clause,[],[f5923,f230,f195,f6048]) ).
fof(f5923,plain,
( sdtpldt0(sz10,xq) = sdtpldt0(xq,sz10)
| ~ spl4_2
| ~ spl4_9 ),
inference(resolution,[],[f725,f232]) ).
fof(f6046,plain,
( spl4_215
| ~ spl4_1
| ~ spl4_6 ),
inference(avatar_split_clause,[],[f5765,f215,f190,f6043]) ).
fof(f5765,plain,
( sdtpldt0(sK1,xp) = sdtpldt0(xp,sK1)
| ~ spl4_1
| ~ spl4_6 ),
inference(resolution,[],[f724,f217]) ).
fof(f6041,plain,
( spl4_214
| ~ spl4_1
| ~ spl4_7 ),
inference(avatar_split_clause,[],[f5764,f220,f190,f6038]) ).
fof(f5764,plain,
( sdtpldt0(sK0,xp) = sdtpldt0(xp,sK0)
| ~ spl4_1
| ~ spl4_7 ),
inference(resolution,[],[f724,f222]) ).
fof(f6036,plain,
( spl4_213
| ~ spl4_1
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f5763,f195,f190,f6033]) ).
fof(f6031,plain,
( spl4_212
| ~ spl4_1
| ~ spl4_9 ),
inference(avatar_split_clause,[],[f5755,f230,f190,f6028]) ).
fof(f5755,plain,
( sdtpldt0(sz10,xp) = sdtpldt0(xp,sz10)
| ~ spl4_1
| ~ spl4_9 ),
inference(resolution,[],[f724,f232]) ).
fof(f5978,plain,
( ~ spl4_8
| ~ spl4_9
| ~ spl4_206
| spl4_210 ),
inference(avatar_contradiction_clause,[],[f5977]) ).
fof(f5977,plain,
( $false
| ~ spl4_8
| ~ spl4_9
| ~ spl4_206
| spl4_210 ),
inference(subsumption_resolution,[],[f5976,f232]) ).
fof(f5976,plain,
( ~ aNaturalNumber0(sz10)
| ~ spl4_8
| ~ spl4_206
| spl4_210 ),
inference(subsumption_resolution,[],[f5975,f227]) ).
fof(f5975,plain,
( ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz10)
| ~ spl4_206
| spl4_210 ),
inference(subsumption_resolution,[],[f5974,f5811]) ).
fof(f5811,plain,
( doDivides0(sz10,sz00)
| ~ spl4_206 ),
inference(avatar_component_clause,[],[f5809]) ).
fof(f5809,plain,
( spl4_206
<=> doDivides0(sz10,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_206])]) ).
fof(f5974,plain,
( ~ doDivides0(sz10,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz10)
| spl4_210 ),
inference(resolution,[],[f5950,f168]) ).
fof(f5950,plain,
( ~ aNaturalNumber0(sK2(sz10,sz00))
| spl4_210 ),
inference(avatar_component_clause,[],[f5948]) ).
fof(f5948,plain,
( spl4_210
<=> aNaturalNumber0(sK2(sz10,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_210])]) ).
fof(f5955,plain,
( ~ spl4_210
| spl4_211
| ~ spl4_9
| spl4_112
| ~ spl4_207 ),
inference(avatar_split_clause,[],[f5845,f5820,f1257,f230,f5952,f5948]) ).
fof(f5952,plain,
( spl4_211
<=> sz00 = sK2(sz10,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_211])]) ).
fof(f1257,plain,
( spl4_112
<=> sdtlseqdt0(sz10,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_112])]) ).
fof(f5820,plain,
( spl4_207
<=> sz00 = sdtasdt0(sz10,sK2(sz10,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_207])]) ).
fof(f5845,plain,
( sz00 = sK2(sz10,sz00)
| ~ aNaturalNumber0(sK2(sz10,sz00))
| ~ spl4_9
| spl4_112
| ~ spl4_207 ),
inference(subsumption_resolution,[],[f5844,f232]) ).
fof(f5844,plain,
( sz00 = sK2(sz10,sz00)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK2(sz10,sz00))
| spl4_112
| ~ spl4_207 ),
inference(subsumption_resolution,[],[f5829,f1259]) ).
fof(f1259,plain,
( ~ sdtlseqdt0(sz10,sz00)
| spl4_112 ),
inference(avatar_component_clause,[],[f1257]) ).
fof(f5829,plain,
( sdtlseqdt0(sz10,sz00)
| sz00 = sK2(sz10,sz00)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK2(sz10,sz00))
| ~ spl4_207 ),
inference(superposition,[],[f152,f5822]) ).
fof(f5822,plain,
( sz00 = sdtasdt0(sz10,sK2(sz10,sz00))
| ~ spl4_207 ),
inference(avatar_component_clause,[],[f5820]) ).
fof(f5905,plain,
( ~ spl4_2
| ~ spl4_8
| ~ spl4_203
| spl4_208 ),
inference(avatar_contradiction_clause,[],[f5904]) ).
fof(f5904,plain,
( $false
| ~ spl4_2
| ~ spl4_8
| ~ spl4_203
| spl4_208 ),
inference(subsumption_resolution,[],[f5903,f197]) ).
fof(f5903,plain,
( ~ aNaturalNumber0(xq)
| ~ spl4_8
| ~ spl4_203
| spl4_208 ),
inference(subsumption_resolution,[],[f5902,f227]) ).
fof(f5902,plain,
( ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xq)
| ~ spl4_203
| spl4_208 ),
inference(subsumption_resolution,[],[f5901,f5694]) ).
fof(f5694,plain,
( doDivides0(xq,sz00)
| ~ spl4_203 ),
inference(avatar_component_clause,[],[f5693]) ).
fof(f5693,plain,
( spl4_203
<=> doDivides0(xq,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_203])]) ).
fof(f5901,plain,
( ~ doDivides0(xq,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xq)
| spl4_208 ),
inference(resolution,[],[f5895,f168]) ).
fof(f5895,plain,
( ~ aNaturalNumber0(sK2(xq,sz00))
| spl4_208 ),
inference(avatar_component_clause,[],[f5893]) ).
fof(f5900,plain,
( ~ spl4_208
| spl4_209
| ~ spl4_2
| spl4_101
| ~ spl4_205 ),
inference(avatar_split_clause,[],[f5739,f5713,f1035,f195,f5897,f5893]) ).
fof(f1035,plain,
( spl4_101
<=> sdtlseqdt0(xq,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_101])]) ).
fof(f5713,plain,
( spl4_205
<=> sz00 = sdtasdt0(xq,sK2(xq,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_205])]) ).
fof(f5739,plain,
( sz00 = sK2(xq,sz00)
| ~ aNaturalNumber0(sK2(xq,sz00))
| ~ spl4_2
| spl4_101
| ~ spl4_205 ),
inference(subsumption_resolution,[],[f5738,f197]) ).
fof(f5738,plain,
( sz00 = sK2(xq,sz00)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,sz00))
| spl4_101
| ~ spl4_205 ),
inference(subsumption_resolution,[],[f5723,f1036]) ).
fof(f1036,plain,
( ~ sdtlseqdt0(xq,sz00)
| spl4_101 ),
inference(avatar_component_clause,[],[f1035]) ).
fof(f5723,plain,
( sdtlseqdt0(xq,sz00)
| sz00 = sK2(xq,sz00)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,sz00))
| ~ spl4_205 ),
inference(superposition,[],[f152,f5715]) ).
fof(f5715,plain,
( sz00 = sdtasdt0(xq,sK2(xq,sz00))
| ~ spl4_205 ),
inference(avatar_component_clause,[],[f5713]) ).
fof(f5823,plain,
( spl4_207
| ~ spl4_8
| ~ spl4_9
| ~ spl4_206 ),
inference(avatar_split_clause,[],[f5818,f5809,f230,f225,f5820]) ).
fof(f5818,plain,
( sz00 = sdtasdt0(sz10,sK2(sz10,sz00))
| ~ spl4_8
| ~ spl4_9
| ~ spl4_206 ),
inference(subsumption_resolution,[],[f5817,f232]) ).
fof(f5817,plain,
( sz00 = sdtasdt0(sz10,sK2(sz10,sz00))
| ~ aNaturalNumber0(sz10)
| ~ spl4_8
| ~ spl4_206 ),
inference(subsumption_resolution,[],[f5814,f227]) ).
fof(f5814,plain,
( sz00 = sdtasdt0(sz10,sK2(sz10,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz10)
| ~ spl4_206 ),
inference(resolution,[],[f5811,f169]) ).
fof(f5812,plain,
( spl4_206
| ~ spl4_2
| ~ spl4_3
| ~ spl4_8
| ~ spl4_9
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_61
| ~ spl4_64
| ~ spl4_203 ),
inference(avatar_split_clause,[],[f5801,f5693,f609,f566,f280,f270,f240,f230,f225,f200,f195,f5809]) ).
fof(f5801,plain,
( doDivides0(sz10,sz00)
| ~ spl4_2
| ~ spl4_3
| ~ spl4_8
| ~ spl4_9
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_61
| ~ spl4_64
| ~ spl4_203 ),
inference(subsumption_resolution,[],[f5796,f232]) ).
fof(f5796,plain,
( doDivides0(sz10,sz00)
| ~ aNaturalNumber0(sz10)
| ~ spl4_2
| ~ spl4_3
| ~ spl4_8
| ~ spl4_9
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_61
| ~ spl4_64
| ~ spl4_203 ),
inference(trivial_inequality_removal,[],[f5778]) ).
fof(f5778,plain,
( doDivides0(sz10,sz00)
| ~ aNaturalNumber0(sz10)
| xq != xq
| ~ spl4_2
| ~ spl4_3
| ~ spl4_8
| ~ spl4_9
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_61
| ~ spl4_64
| ~ spl4_203 ),
inference(resolution,[],[f5708,f3512]) ).
fof(f3512,plain,
( ! [X16] :
( doDivides0(sz10,X16)
| xq != X16 )
| ~ spl4_2
| ~ spl4_3
| ~ spl4_9
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_61
| ~ spl4_64 ),
inference(subsumption_resolution,[],[f1524,f2717]) ).
fof(f1524,plain,
( ! [X16] :
( xq != X16
| doDivides0(sz10,X16)
| ~ aNaturalNumber0(X16) )
| ~ spl4_2
| ~ spl4_9
| ~ spl4_61 ),
inference(subsumption_resolution,[],[f1523,f232]) ).
fof(f1523,plain,
( ! [X16] :
( xq != X16
| doDivides0(sz10,X16)
| ~ aNaturalNumber0(X16)
| ~ aNaturalNumber0(sz10) )
| ~ spl4_2
| ~ spl4_61 ),
inference(subsumption_resolution,[],[f1468,f197]) ).
fof(f1468,plain,
( ! [X16] :
( xq != X16
| doDivides0(sz10,X16)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X16)
| ~ aNaturalNumber0(sz10) )
| ~ spl4_61 ),
inference(superposition,[],[f170,f568]) ).
fof(f5708,plain,
( ! [X0] :
( ~ doDivides0(X0,xq)
| doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0) )
| ~ spl4_2
| ~ spl4_8
| ~ spl4_203 ),
inference(subsumption_resolution,[],[f5707,f197]) ).
fof(f5707,plain,
( ! [X0] :
( doDivides0(X0,sz00)
| ~ doDivides0(X0,xq)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0) )
| ~ spl4_8
| ~ spl4_203 ),
inference(subsumption_resolution,[],[f5705,f227]) ).
fof(f5705,plain,
( ! [X0] :
( doDivides0(X0,sz00)
| ~ doDivides0(X0,xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0) )
| ~ spl4_203 ),
inference(resolution,[],[f5694,f182]) ).
fof(f5716,plain,
( spl4_205
| ~ spl4_2
| ~ spl4_8
| ~ spl4_203 ),
inference(avatar_split_clause,[],[f5710,f5693,f225,f195,f5713]) ).
fof(f5710,plain,
( sz00 = sdtasdt0(xq,sK2(xq,sz00))
| ~ spl4_2
| ~ spl4_8
| ~ spl4_203 ),
inference(subsumption_resolution,[],[f5709,f197]) ).
fof(f5709,plain,
( sz00 = sdtasdt0(xq,sK2(xq,sz00))
| ~ aNaturalNumber0(xq)
| ~ spl4_8
| ~ spl4_203 ),
inference(subsumption_resolution,[],[f5706,f227]) ).
fof(f5706,plain,
( sz00 = sdtasdt0(xq,sK2(xq,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xq)
| ~ spl4_203 ),
inference(resolution,[],[f5694,f169]) ).
fof(f5704,plain,
( ~ spl4_2
| ~ spl4_8
| ~ spl4_25
| spl4_203 ),
inference(avatar_contradiction_clause,[],[f5703]) ).
fof(f5703,plain,
( $false
| ~ spl4_2
| ~ spl4_8
| ~ spl4_25
| spl4_203 ),
inference(subsumption_resolution,[],[f5702,f227]) ).
fof(f5702,plain,
( ~ aNaturalNumber0(sz00)
| ~ spl4_2
| ~ spl4_8
| ~ spl4_25
| spl4_203 ),
inference(trivial_inequality_removal,[],[f5701]) ).
fof(f5701,plain,
( sz00 != sz00
| ~ aNaturalNumber0(sz00)
| ~ spl4_2
| ~ spl4_8
| ~ spl4_25
| spl4_203 ),
inference(resolution,[],[f5695,f1556]) ).
fof(f1556,plain,
( ! [X32] :
( doDivides0(xq,X32)
| sz00 != X32
| ~ aNaturalNumber0(X32) )
| ~ spl4_2
| ~ spl4_8
| ~ spl4_25 ),
inference(subsumption_resolution,[],[f1555,f197]) ).
fof(f1555,plain,
( ! [X32] :
( sz00 != X32
| doDivides0(xq,X32)
| ~ aNaturalNumber0(X32)
| ~ aNaturalNumber0(xq) )
| ~ spl4_8
| ~ spl4_25 ),
inference(subsumption_resolution,[],[f1484,f227]) ).
fof(f1484,plain,
( ! [X32] :
( sz00 != X32
| doDivides0(xq,X32)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X32)
| ~ aNaturalNumber0(xq) )
| ~ spl4_25 ),
inference(superposition,[],[f170,f321]) ).
fof(f5695,plain,
( ~ doDivides0(xq,sz00)
| spl4_203 ),
inference(avatar_component_clause,[],[f5693]) ).
fof(f5699,plain,
( ~ spl4_203
| spl4_204
| ~ spl4_2
| ~ spl4_8
| spl4_102
| ~ spl4_202 ),
inference(avatar_split_clause,[],[f5691,f5678,f1049,f225,f195,f5697,f5693]) ).
fof(f5697,plain,
( spl4_204
<=> ! [X1] :
( sz00 != X1
| aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_204])]) ).
fof(f5678,plain,
( spl4_202
<=> sz00 = sdtsldt0(sz00,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_202])]) ).
fof(f5691,plain,
( ! [X1] :
( sz00 != X1
| aNaturalNumber0(X1)
| ~ doDivides0(xq,sz00) )
| ~ spl4_2
| ~ spl4_8
| spl4_102
| ~ spl4_202 ),
inference(subsumption_resolution,[],[f5690,f197]) ).
fof(f5690,plain,
( ! [X1] :
( sz00 != X1
| aNaturalNumber0(X1)
| ~ doDivides0(xq,sz00)
| ~ aNaturalNumber0(xq) )
| ~ spl4_8
| spl4_102
| ~ spl4_202 ),
inference(subsumption_resolution,[],[f5689,f227]) ).
fof(f5689,plain,
( ! [X1] :
( sz00 != X1
| aNaturalNumber0(X1)
| ~ doDivides0(xq,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xq) )
| spl4_102
| ~ spl4_202 ),
inference(subsumption_resolution,[],[f5685,f1051]) ).
fof(f5685,plain,
( ! [X1] :
( sz00 != X1
| aNaturalNumber0(X1)
| ~ doDivides0(xq,sz00)
| sz00 = xq
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xq) )
| ~ spl4_202 ),
inference(superposition,[],[f164,f5680]) ).
fof(f5680,plain,
( sz00 = sdtsldt0(sz00,xq)
| ~ spl4_202 ),
inference(avatar_component_clause,[],[f5678]) ).
fof(f5681,plain,
( spl4_202
| ~ spl4_2
| ~ spl4_8
| ~ spl4_25
| spl4_102 ),
inference(avatar_split_clause,[],[f5676,f1049,f319,f225,f195,f5678]) ).
fof(f5676,plain,
( sz00 = sdtsldt0(sz00,xq)
| ~ spl4_2
| ~ spl4_8
| ~ spl4_25
| spl4_102 ),
inference(subsumption_resolution,[],[f5675,f227]) ).
fof(f5675,plain,
( sz00 = sdtsldt0(sz00,xq)
| ~ aNaturalNumber0(sz00)
| ~ spl4_2
| ~ spl4_8
| ~ spl4_25
| spl4_102 ),
inference(equality_resolution,[],[f4953]) ).
fof(f4953,plain,
( ! [X36] :
( sz00 != X36
| sz00 = sdtsldt0(X36,xq)
| ~ aNaturalNumber0(X36) )
| ~ spl4_2
| ~ spl4_8
| ~ spl4_25
| spl4_102 ),
inference(subsumption_resolution,[],[f4952,f197]) ).
fof(f4952,plain,
( ! [X36] :
( sz00 != X36
| sz00 = sdtsldt0(X36,xq)
| ~ aNaturalNumber0(X36)
| ~ aNaturalNumber0(xq) )
| ~ spl4_8
| ~ spl4_25
| spl4_102 ),
inference(subsumption_resolution,[],[f4951,f1051]) ).
fof(f4951,plain,
( ! [X36] :
( sz00 != X36
| sz00 = sdtsldt0(X36,xq)
| sz00 = xq
| ~ aNaturalNumber0(X36)
| ~ aNaturalNumber0(xq) )
| ~ spl4_8
| ~ spl4_25 ),
inference(subsumption_resolution,[],[f4868,f227]) ).
fof(f4868,plain,
( ! [X36] :
( sz00 != X36
| sz00 = sdtsldt0(X36,xq)
| ~ aNaturalNumber0(sz00)
| sz00 = xq
| ~ aNaturalNumber0(X36)
| ~ aNaturalNumber0(xq) )
| ~ spl4_25 ),
inference(superposition,[],[f4777,f321]) ).
fof(f5326,plain,
( spl4_201
| ~ spl4_6
| ~ spl4_8
| ~ spl4_193 ),
inference(avatar_split_clause,[],[f5005,f4973,f225,f215,f5323]) ).
fof(f4973,plain,
( spl4_193
<=> sdtlseqdt0(sz00,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_193])]) ).
fof(f5005,plain,
( sK1 = sdtpldt0(sz00,sK3(sz00,sK1))
| ~ spl4_6
| ~ spl4_8
| ~ spl4_193 ),
inference(subsumption_resolution,[],[f5004,f227]) ).
fof(f5004,plain,
( sK1 = sdtpldt0(sz00,sK3(sz00,sK1))
| ~ aNaturalNumber0(sz00)
| ~ spl4_6
| ~ spl4_193 ),
inference(subsumption_resolution,[],[f5000,f217]) ).
fof(f5000,plain,
( sK1 = sdtpldt0(sz00,sK3(sz00,sK1))
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sz00)
| ~ spl4_193 ),
inference(resolution,[],[f4975,f172]) ).
fof(f4975,plain,
( sdtlseqdt0(sz00,sK1)
| ~ spl4_193 ),
inference(avatar_component_clause,[],[f4973]) ).
fof(f5321,plain,
( spl4_200
| ~ spl4_7
| ~ spl4_8
| ~ spl4_192 ),
inference(avatar_split_clause,[],[f4998,f4829,f225,f220,f5318]) ).
fof(f4829,plain,
( spl4_192
<=> sdtlseqdt0(sz00,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_192])]) ).
fof(f4998,plain,
( sK0 = sdtpldt0(sz00,sK3(sz00,sK0))
| ~ spl4_7
| ~ spl4_8
| ~ spl4_192 ),
inference(subsumption_resolution,[],[f4997,f227]) ).
fof(f4997,plain,
( sK0 = sdtpldt0(sz00,sK3(sz00,sK0))
| ~ aNaturalNumber0(sz00)
| ~ spl4_7
| ~ spl4_192 ),
inference(subsumption_resolution,[],[f4993,f222]) ).
fof(f4993,plain,
( sK0 = sdtpldt0(sz00,sK3(sz00,sK0))
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sz00)
| ~ spl4_192 ),
inference(resolution,[],[f4831,f172]) ).
fof(f4831,plain,
( sdtlseqdt0(sz00,sK0)
| ~ spl4_192 ),
inference(avatar_component_clause,[],[f4829]) ).
fof(f5316,plain,
( spl4_199
| ~ spl4_5
| ~ spl4_8
| ~ spl4_191 ),
inference(avatar_split_clause,[],[f4991,f4823,f225,f210,f5313]) ).
fof(f4823,plain,
( spl4_191
<=> sdtlseqdt0(sz00,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_191])]) ).
fof(f4991,plain,
( xn = sdtpldt0(sz00,sK3(sz00,xn))
| ~ spl4_5
| ~ spl4_8
| ~ spl4_191 ),
inference(subsumption_resolution,[],[f4990,f227]) ).
fof(f4990,plain,
( xn = sdtpldt0(sz00,sK3(sz00,xn))
| ~ aNaturalNumber0(sz00)
| ~ spl4_5
| ~ spl4_191 ),
inference(subsumption_resolution,[],[f4986,f212]) ).
fof(f4986,plain,
( xn = sdtpldt0(sz00,sK3(sz00,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz00)
| ~ spl4_191 ),
inference(resolution,[],[f4825,f172]) ).
fof(f4825,plain,
( sdtlseqdt0(sz00,xn)
| ~ spl4_191 ),
inference(avatar_component_clause,[],[f4823]) ).
fof(f5311,plain,
( spl4_198
| ~ spl4_4
| ~ spl4_8
| ~ spl4_190 ),
inference(avatar_split_clause,[],[f4984,f4817,f225,f205,f5308]) ).
fof(f4817,plain,
( spl4_190
<=> sdtlseqdt0(sz00,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_190])]) ).
fof(f4984,plain,
( xm = sdtpldt0(sz00,sK3(sz00,xm))
| ~ spl4_4
| ~ spl4_8
| ~ spl4_190 ),
inference(subsumption_resolution,[],[f4983,f227]) ).
fof(f4983,plain,
( xm = sdtpldt0(sz00,sK3(sz00,xm))
| ~ aNaturalNumber0(sz00)
| ~ spl4_4
| ~ spl4_190 ),
inference(subsumption_resolution,[],[f4979,f207]) ).
fof(f4979,plain,
( xm = sdtpldt0(sz00,sK3(sz00,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00)
| ~ spl4_190 ),
inference(resolution,[],[f4819,f172]) ).
fof(f4819,plain,
( sdtlseqdt0(sz00,xm)
| ~ spl4_190 ),
inference(avatar_component_clause,[],[f4817]) ).
fof(f5305,plain,
~ spl4_196,
inference(avatar_contradiction_clause,[],[f5304]) ).
fof(f5304,plain,
( $false
| ~ spl4_196 ),
inference(equality_resolution,[],[f5299]) ).
fof(f5299,plain,
( ! [X2] : xq != X2
| ~ spl4_196 ),
inference(avatar_component_clause,[],[f5298]) ).
fof(f5298,plain,
( spl4_196
<=> ! [X2] : xq != X2 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_196])]) ).
fof(f5303,plain,
( spl4_196
| spl4_197
| ~ spl4_2
| ~ spl4_3
| ~ spl4_9
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_54
| ~ spl4_64
| spl4_102 ),
inference(avatar_split_clause,[],[f5296,f1049,f609,f511,f280,f270,f240,f230,f200,f195,f5301,f5298]) ).
fof(f5301,plain,
( spl4_197
<=> ! [X3] :
( sz10 != X3
| aNaturalNumber0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_197])]) ).
fof(f5296,plain,
( ! [X2,X3] :
( sz10 != X3
| aNaturalNumber0(X3)
| xq != X2 )
| ~ spl4_2
| ~ spl4_3
| ~ spl4_9
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_54
| ~ spl4_64
| spl4_102 ),
inference(subsumption_resolution,[],[f5295,f3758]) ).
fof(f3758,plain,
( ! [X33] :
( doDivides0(xq,X33)
| xq != X33 )
| ~ spl4_2
| ~ spl4_3
| ~ spl4_9
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_54
| ~ spl4_64 ),
inference(subsumption_resolution,[],[f1558,f2717]) ).
fof(f1558,plain,
( ! [X33] :
( xq != X33
| doDivides0(xq,X33)
| ~ aNaturalNumber0(X33) )
| ~ spl4_2
| ~ spl4_9
| ~ spl4_54 ),
inference(subsumption_resolution,[],[f1557,f197]) ).
fof(f1557,plain,
( ! [X33] :
( xq != X33
| doDivides0(xq,X33)
| ~ aNaturalNumber0(X33)
| ~ aNaturalNumber0(xq) )
| ~ spl4_9
| ~ spl4_54 ),
inference(subsumption_resolution,[],[f1485,f232]) ).
fof(f1485,plain,
( ! [X33] :
( xq != X33
| doDivides0(xq,X33)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X33)
| ~ aNaturalNumber0(xq) )
| ~ spl4_54 ),
inference(superposition,[],[f170,f513]) ).
fof(f5295,plain,
( ! [X2,X3] :
( sz10 != X3
| aNaturalNumber0(X3)
| ~ doDivides0(xq,X2)
| xq != X2 )
| ~ spl4_2
| ~ spl4_3
| ~ spl4_9
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_54
| ~ spl4_64
| spl4_102 ),
inference(subsumption_resolution,[],[f5294,f2717]) ).
fof(f5294,plain,
( ! [X2,X3] :
( sz10 != X3
| aNaturalNumber0(X3)
| ~ doDivides0(xq,X2)
| ~ aNaturalNumber0(X2)
| xq != X2 )
| ~ spl4_2
| ~ spl4_3
| ~ spl4_9
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_54
| ~ spl4_64
| spl4_102 ),
inference(subsumption_resolution,[],[f5293,f197]) ).
fof(f5293,plain,
( ! [X2,X3] :
( sz10 != X3
| aNaturalNumber0(X3)
| ~ doDivides0(xq,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(xq)
| xq != X2 )
| ~ spl4_2
| ~ spl4_3
| ~ spl4_9
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_54
| ~ spl4_64
| spl4_102 ),
inference(subsumption_resolution,[],[f5288,f1051]) ).
fof(f5288,plain,
( ! [X2,X3] :
( sz10 != X3
| aNaturalNumber0(X3)
| ~ doDivides0(xq,X2)
| sz00 = xq
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(xq)
| xq != X2 )
| ~ spl4_2
| ~ spl4_3
| ~ spl4_9
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_54
| ~ spl4_64
| spl4_102 ),
inference(superposition,[],[f164,f4957]) ).
fof(f4957,plain,
( ! [X37] :
( sz10 = sdtsldt0(X37,xq)
| xq != X37 )
| ~ spl4_2
| ~ spl4_3
| ~ spl4_9
| spl4_11
| ~ spl4_17
| ~ spl4_19
| ~ spl4_54
| ~ spl4_64
| spl4_102 ),
inference(subsumption_resolution,[],[f4956,f2717]) ).
fof(f4956,plain,
( ! [X37] :
( xq != X37
| sz10 = sdtsldt0(X37,xq)
| ~ aNaturalNumber0(X37) )
| ~ spl4_2
| ~ spl4_9
| ~ spl4_54
| spl4_102 ),
inference(subsumption_resolution,[],[f4955,f197]) ).
fof(f4955,plain,
( ! [X37] :
( xq != X37
| sz10 = sdtsldt0(X37,xq)
| ~ aNaturalNumber0(X37)
| ~ aNaturalNumber0(xq) )
| ~ spl4_9
| ~ spl4_54
| spl4_102 ),
inference(subsumption_resolution,[],[f4954,f1051]) ).
fof(f4954,plain,
( ! [X37] :
( xq != X37
| sz10 = sdtsldt0(X37,xq)
| sz00 = xq
| ~ aNaturalNumber0(X37)
| ~ aNaturalNumber0(xq) )
| ~ spl4_9
| ~ spl4_54 ),
inference(subsumption_resolution,[],[f4869,f232]) ).
fof(f4869,plain,
( ! [X37] :
( xq != X37
| sz10 = sdtsldt0(X37,xq)
| ~ aNaturalNumber0(sz10)
| sz00 = xq
| ~ aNaturalNumber0(X37)
| ~ aNaturalNumber0(xq) )
| ~ spl4_54 ),
inference(superposition,[],[f4777,f513]) ).
fof(f5023,plain,
( spl4_195
| ~ spl4_8
| ~ spl4_64
| spl4_194 ),
inference(avatar_split_clause,[],[f5017,f5007,f609,f225,f5019]) ).
fof(f5019,plain,
( spl4_195
<=> sdtlseqdt0(sz00,sdtpldt0(xm,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_195])]) ).
fof(f5007,plain,
( spl4_194
<=> sdtlseqdt0(sdtpldt0(xm,xn),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_194])]) ).
fof(f5017,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,xn))
| ~ spl4_8
| ~ spl4_64
| spl4_194 ),
inference(subsumption_resolution,[],[f5016,f227]) ).
fof(f5016,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(sz00)
| ~ spl4_64
| spl4_194 ),
inference(subsumption_resolution,[],[f5012,f611]) ).
fof(f5012,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(sz00)
| spl4_194 ),
inference(resolution,[],[f5009,f151]) ).
fof(f5009,plain,
( ~ sdtlseqdt0(sdtpldt0(xm,xn),sz00)
| spl4_194 ),
inference(avatar_component_clause,[],[f5007]) ).
fof(f5022,plain,
( spl4_195
| ~ spl4_8
| ~ spl4_64
| spl4_194 ),
inference(avatar_split_clause,[],[f5015,f5007,f609,f225,f5019]) ).
fof(f5015,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,xn))
| ~ spl4_8
| ~ spl4_64
| spl4_194 ),
inference(subsumption_resolution,[],[f5014,f611]) ).
fof(f5014,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ spl4_8
| spl4_194 ),
inference(subsumption_resolution,[],[f5011,f227]) ).
fof(f5011,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| spl4_194 ),
inference(resolution,[],[f5009,f151]) ).
fof(f5010,plain,
( ~ spl4_194
| ~ spl4_8
| ~ spl4_9
| ~ spl4_64
| ~ spl4_114
| spl4_180 ),
inference(avatar_split_clause,[],[f4759,f4612,f1276,f609,f230,f225,f5007]) ).
fof(f4612,plain,
( spl4_180
<=> sdtlseqdt0(sdtpldt0(xm,xn),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_180])]) ).
fof(f4759,plain,
( ~ sdtlseqdt0(sdtpldt0(xm,xn),sz00)
| ~ spl4_8
| ~ spl4_9
| ~ spl4_64
| ~ spl4_114
| spl4_180 ),
inference(subsumption_resolution,[],[f4745,f611]) ).
fof(f4745,plain,
( ~ sdtlseqdt0(sdtpldt0(xm,xn),sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ spl4_8
| ~ spl4_9
| ~ spl4_114
| spl4_180 ),
inference(resolution,[],[f1979,f4614]) ).
fof(f4614,plain,
( ~ sdtlseqdt0(sdtpldt0(xm,xn),sz10)
| spl4_180 ),
inference(avatar_component_clause,[],[f4612]) ).
fof(f4977,plain,
( spl4_193
| ~ spl4_6
| ~ spl4_8
| spl4_189 ),
inference(avatar_split_clause,[],[f4815,f4784,f225,f215,f4973]) ).
fof(f4784,plain,
( spl4_189
<=> sdtlseqdt0(sK1,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_189])]) ).
fof(f4815,plain,
( sdtlseqdt0(sz00,sK1)
| ~ spl4_6
| ~ spl4_8
| spl4_189 ),
inference(subsumption_resolution,[],[f4814,f227]) ).
fof(f4814,plain,
( sdtlseqdt0(sz00,sK1)
| ~ aNaturalNumber0(sz00)
| ~ spl4_6
| spl4_189 ),
inference(subsumption_resolution,[],[f4810,f217]) ).
fof(f4810,plain,
( sdtlseqdt0(sz00,sK1)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sz00)
| spl4_189 ),
inference(resolution,[],[f4786,f151]) ).
fof(f4786,plain,
( ~ sdtlseqdt0(sK1,sz00)
| spl4_189 ),
inference(avatar_component_clause,[],[f4784]) ).
fof(f4976,plain,
( spl4_193
| ~ spl4_6
| ~ spl4_8
| spl4_189 ),
inference(avatar_split_clause,[],[f4813,f4784,f225,f215,f4973]) ).
fof(f4813,plain,
( sdtlseqdt0(sz00,sK1)
| ~ spl4_6
| ~ spl4_8
| spl4_189 ),
inference(subsumption_resolution,[],[f4812,f217]) ).
fof(f4812,plain,
( sdtlseqdt0(sz00,sK1)
| ~ aNaturalNumber0(sK1)
| ~ spl4_8
| spl4_189 ),
inference(subsumption_resolution,[],[f4809,f227]) ).
fof(f4809,plain,
( sdtlseqdt0(sz00,sK1)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK1)
| spl4_189 ),
inference(resolution,[],[f4786,f151]) ).
fof(f4971,plain,
( spl4_192
| ~ spl4_7
| ~ spl4_8
| spl4_188 ),
inference(avatar_split_clause,[],[f4808,f4779,f225,f220,f4829]) ).
fof(f4779,plain,
( spl4_188
<=> sdtlseqdt0(sK0,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_188])]) ).
fof(f4808,plain,
( sdtlseqdt0(sz00,sK0)
| ~ spl4_7
| ~ spl4_8
| spl4_188 ),
inference(subsumption_resolution,[],[f4807,f227]) ).
fof(f4807,plain,
( sdtlseqdt0(sz00,sK0)
| ~ aNaturalNumber0(sz00)
| ~ spl4_7
| spl4_188 ),
inference(subsumption_resolution,[],[f4803,f222]) ).
fof(f4803,plain,
( sdtlseqdt0(sz00,sK0)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sz00)
| spl4_188 ),
inference(resolution,[],[f4781,f151]) ).
fof(f4781,plain,
( ~ sdtlseqdt0(sK0,sz00)
| spl4_188 ),
inference(avatar_component_clause,[],[f4779]) ).
fof(f4832,plain,
( spl4_192
| ~ spl4_7
| ~ spl4_8
| spl4_188 ),
inference(avatar_split_clause,[],[f4806,f4779,f225,f220,f4829]) ).
fof(f4806,plain,
( sdtlseqdt0(sz00,sK0)
| ~ spl4_7
| ~ spl4_8
| spl4_188 ),
inference(subsumption_resolution,[],[f4805,f222]) ).
fof(f4805,plain,
( sdtlseqdt0(sz00,sK0)
| ~ aNaturalNumber0(sK0)
| ~ spl4_8
| spl4_188 ),
inference(subsumption_resolution,[],[f4802,f227]) ).
fof(f4802,plain,
( sdtlseqdt0(sz00,sK0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0)
| spl4_188 ),
inference(resolution,[],[f4781,f151]) ).
fof(f4827,plain,
( spl4_191
| ~ spl4_5
| ~ spl4_8
| spl4_187 ),
inference(avatar_split_clause,[],[f4801,f4773,f225,f210,f4823]) ).
fof(f4773,plain,
( spl4_187
<=> sdtlseqdt0(xn,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_187])]) ).
fof(f4801,plain,
( sdtlseqdt0(sz00,xn)
| ~ spl4_5
| ~ spl4_8
| spl4_187 ),
inference(subsumption_resolution,[],[f4800,f227]) ).
fof(f4800,plain,
( sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(sz00)
| ~ spl4_5
| spl4_187 ),
inference(subsumption_resolution,[],[f4796,f212]) ).
fof(f4796,plain,
( sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz00)
| spl4_187 ),
inference(resolution,[],[f4775,f151]) ).
fof(f4775,plain,
( ~ sdtlseqdt0(xn,sz00)
| spl4_187 ),
inference(avatar_component_clause,[],[f4773]) ).
fof(f4826,plain,
( spl4_191
| ~ spl4_5
| ~ spl4_8
| spl4_187 ),
inference(avatar_split_clause,[],[f4799,f4773,f225,f210,f4823]) ).
fof(f4799,plain,
( sdtlseqdt0(sz00,xn)
| ~ spl4_5
| ~ spl4_8
| spl4_187 ),
inference(subsumption_resolution,[],[f4798,f212]) ).
fof(f4798,plain,
( sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(xn)
| ~ spl4_8
| spl4_187 ),
inference(subsumption_resolution,[],[f4795,f227]) ).
fof(f4795,plain,
( sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| spl4_187 ),
inference(resolution,[],[f4775,f151]) ).
fof(f4821,plain,
( spl4_190
| ~ spl4_4
| ~ spl4_8
| spl4_186 ),
inference(avatar_split_clause,[],[f4794,f4768,f225,f205,f4817]) ).
fof(f4768,plain,
( spl4_186
<=> sdtlseqdt0(xm,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_186])]) ).
fof(f4794,plain,
( sdtlseqdt0(sz00,xm)
| ~ spl4_4
| ~ spl4_8
| spl4_186 ),
inference(subsumption_resolution,[],[f4793,f227]) ).
fof(f4793,plain,
( sdtlseqdt0(sz00,xm)
| ~ aNaturalNumber0(sz00)
| ~ spl4_4
| spl4_186 ),
inference(subsumption_resolution,[],[f4789,f207]) ).
fof(f4789,plain,
( sdtlseqdt0(sz00,xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00)
| spl4_186 ),
inference(resolution,[],[f4770,f151]) ).
fof(f4770,plain,
( ~ sdtlseqdt0(xm,sz00)
| spl4_186 ),
inference(avatar_component_clause,[],[f4768]) ).
fof(f4820,plain,
( spl4_190
| ~ spl4_4
| ~ spl4_8
| spl4_186 ),
inference(avatar_split_clause,[],[f4792,f4768,f225,f205,f4817]) ).
fof(f4792,plain,
( sdtlseqdt0(sz00,xm)
| ~ spl4_4
| ~ spl4_8
| spl4_186 ),
inference(subsumption_resolution,[],[f4791,f207]) ).
fof(f4791,plain,
( sdtlseqdt0(sz00,xm)
| ~ aNaturalNumber0(xm)
| ~ spl4_8
| spl4_186 ),
inference(subsumption_resolution,[],[f4788,f227]) ).
fof(f4788,plain,
( sdtlseqdt0(sz00,xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| spl4_186 ),
inference(resolution,[],[f4770,f151]) ).
fof(f4787,plain,
( ~ spl4_189
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_114
| spl4_145 ),
inference(avatar_split_clause,[],[f4763,f2262,f1276,f230,f225,f215,f4784]) ).
fof(f2262,plain,
( spl4_145
<=> sdtlseqdt0(sK1,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_145])]) ).
fof(f4763,plain,
( ~ sdtlseqdt0(sK1,sz00)
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_114
| spl4_145 ),
inference(subsumption_resolution,[],[f4752,f217]) ).
fof(f4752,plain,
( ~ sdtlseqdt0(sK1,sz00)
| ~ aNaturalNumber0(sK1)
| ~ spl4_8
| ~ spl4_9
| ~ spl4_114
| spl4_145 ),
inference(resolution,[],[f1979,f2264]) ).
fof(f2264,plain,
( ~ sdtlseqdt0(sK1,sz10)
| spl4_145 ),
inference(avatar_component_clause,[],[f2262]) ).
fof(f4782,plain,
( ~ spl4_188
| ~ spl4_7
| ~ spl4_8
| ~ spl4_9
| ~ spl4_114
| spl4_143 ),
inference(avatar_split_clause,[],[f4762,f2032,f1276,f230,f225,f220,f4779]) ).
fof(f2032,plain,
( spl4_143
<=> sdtlseqdt0(sK0,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_143])]) ).
fof(f4762,plain,
( ~ sdtlseqdt0(sK0,sz00)
| ~ spl4_7
| ~ spl4_8
| ~ spl4_9
| ~ spl4_114
| spl4_143 ),
inference(subsumption_resolution,[],[f4751,f222]) ).
fof(f4751,plain,
( ~ sdtlseqdt0(sK0,sz00)
| ~ aNaturalNumber0(sK0)
| ~ spl4_8
| ~ spl4_9
| ~ spl4_114
| spl4_143 ),
inference(resolution,[],[f1979,f2034]) ).
fof(f2034,plain,
( ~ sdtlseqdt0(sK0,sz10)
| spl4_143 ),
inference(avatar_component_clause,[],[f2032]) ).
fof(f4776,plain,
( ~ spl4_187
| ~ spl4_5
| ~ spl4_8
| ~ spl4_9
| ~ spl4_114
| spl4_137 ),
inference(avatar_split_clause,[],[f4761,f1940,f1276,f230,f225,f210,f4773]) ).
fof(f1940,plain,
( spl4_137
<=> sdtlseqdt0(xn,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_137])]) ).
fof(f4761,plain,
( ~ sdtlseqdt0(xn,sz00)
| ~ spl4_5
| ~ spl4_8
| ~ spl4_9
| ~ spl4_114
| spl4_137 ),
inference(subsumption_resolution,[],[f4748,f212]) ).
fof(f4748,plain,
( ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(xn)
| ~ spl4_8
| ~ spl4_9
| ~ spl4_114
| spl4_137 ),
inference(resolution,[],[f1979,f1942]) ).
fof(f1942,plain,
( ~ sdtlseqdt0(xn,sz10)
| spl4_137 ),
inference(avatar_component_clause,[],[f1940]) ).
fof(f4771,plain,
( ~ spl4_186
| ~ spl4_4
| ~ spl4_8
| ~ spl4_9
| ~ spl4_114
| spl4_139 ),
inference(avatar_split_clause,[],[f4760,f2004,f1276,f230,f225,f205,f4768]) ).
fof(f2004,plain,
( spl4_139
<=> sdtlseqdt0(xm,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_139])]) ).
fof(f4760,plain,
( ~ sdtlseqdt0(xm,sz00)
| ~ spl4_4
| ~ spl4_8
| ~ spl4_9
| ~ spl4_114
| spl4_139 ),
inference(subsumption_resolution,[],[f4747,f207]) ).
fof(f4747,plain,
( ~ sdtlseqdt0(xm,sz00)
| ~ aNaturalNumber0(xm)
| ~ spl4_8
| ~ spl4_9
| ~ spl4_114
| spl4_139 ),
inference(resolution,[],[f1979,f2006]) ).
fof(f2006,plain,
( ~ sdtlseqdt0(xm,sz10)
| spl4_139 ),
inference(avatar_component_clause,[],[f2004]) ).
fof(f4744,plain,
( ~ spl4_184
| spl4_185
| ~ spl4_3
| ~ spl4_4
| spl4_11
| ~ spl4_12
| ~ spl4_15
| ~ spl4_20 ),
inference(avatar_split_clause,[],[f4702,f285,f260,f245,f240,f205,f200,f4741,f4737]) ).
fof(f4702,plain,
( xm = sdtpldt0(xm,xn)
| xp != sK0
| ~ spl4_3
| ~ spl4_4
| spl4_11
| ~ spl4_12
| ~ spl4_15
| ~ spl4_20 ),
inference(superposition,[],[f4694,f287]) ).
fof(f4735,plain,
( ~ spl4_183
| ~ spl4_3
| ~ spl4_4
| spl4_11
| ~ spl4_12
| ~ spl4_15
| spl4_106
| ~ spl4_159 ),
inference(avatar_split_clause,[],[f4719,f2834,f1148,f260,f245,f240,f205,f200,f4731]) ).
fof(f4731,plain,
( spl4_183
<=> xp = sK2(xl,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_183])]) ).
fof(f4719,plain,
( xp != sK2(xl,sz00)
| ~ spl4_3
| ~ spl4_4
| spl4_11
| ~ spl4_12
| ~ spl4_15
| spl4_106
| ~ spl4_159 ),
inference(subsumption_resolution,[],[f4708,f1149]) ).
fof(f4708,plain,
( sz00 = xm
| xp != sK2(xl,sz00)
| ~ spl4_3
| ~ spl4_4
| spl4_11
| ~ spl4_12
| ~ spl4_15
| ~ spl4_159 ),
inference(superposition,[],[f2836,f4694]) ).
fof(f4734,plain,
( ~ spl4_183
| ~ spl4_3
| ~ spl4_4
| spl4_11
| ~ spl4_12
| ~ spl4_15
| spl4_106
| ~ spl4_159 ),
inference(avatar_split_clause,[],[f4718,f2834,f1148,f260,f245,f240,f205,f200,f4731]) ).
fof(f4718,plain,
( xp != sK2(xl,sz00)
| ~ spl4_3
| ~ spl4_4
| spl4_11
| ~ spl4_12
| ~ spl4_15
| spl4_106
| ~ spl4_159 ),
inference(subsumption_resolution,[],[f4703,f1149]) ).
fof(f4703,plain,
( sz00 = xm
| xp != sK2(xl,sz00)
| ~ spl4_3
| ~ spl4_4
| spl4_11
| ~ spl4_12
| ~ spl4_15
| ~ spl4_159 ),
inference(superposition,[],[f4694,f2836]) ).
fof(f4635,plain,
( ~ spl4_182
| ~ spl4_9
| ~ spl4_64
| spl4_180 ),
inference(avatar_split_clause,[],[f4624,f4612,f609,f230,f4632]) ).
fof(f4632,plain,
( spl4_182
<=> sz10 = sdtpldt0(xm,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_182])]) ).
fof(f4624,plain,
( sz10 != sdtpldt0(xm,xn)
| ~ spl4_9
| ~ spl4_64
| spl4_180 ),
inference(subsumption_resolution,[],[f4623,f611]) ).
fof(f4623,plain,
( sz10 != sdtpldt0(xm,xn)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ spl4_9
| spl4_180 ),
inference(subsumption_resolution,[],[f4618,f232]) ).
fof(f4618,plain,
( sz10 != sdtpldt0(xm,xn)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| spl4_180 ),
inference(resolution,[],[f4614,f150]) ).
fof(f4630,plain,
( spl4_181
| ~ spl4_9
| ~ spl4_64
| spl4_180 ),
inference(avatar_split_clause,[],[f4622,f4612,f609,f230,f4626]) ).
fof(f4626,plain,
( spl4_181
<=> sdtlseqdt0(sz10,sdtpldt0(xm,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_181])]) ).
fof(f4622,plain,
( sdtlseqdt0(sz10,sdtpldt0(xm,xn))
| ~ spl4_9
| ~ spl4_64
| spl4_180 ),
inference(subsumption_resolution,[],[f4621,f232]) ).
fof(f4621,plain,
( sdtlseqdt0(sz10,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(sz10)
| ~ spl4_64
| spl4_180 ),
inference(subsumption_resolution,[],[f4617,f611]) ).
fof(f4617,plain,
( sdtlseqdt0(sz10,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(sz10)
| spl4_180 ),
inference(resolution,[],[f4614,f151]) ).
fof(f4629,plain,
( spl4_181
| ~ spl4_9
| ~ spl4_64
| spl4_180 ),
inference(avatar_split_clause,[],[f4620,f4612,f609,f230,f4626]) ).
fof(f4620,plain,
( sdtlseqdt0(sz10,sdtpldt0(xm,xn))
| ~ spl4_9
| ~ spl4_64
| spl4_180 ),
inference(subsumption_resolution,[],[f4619,f611]) ).
fof(f4619,plain,
( sdtlseqdt0(sz10,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ spl4_9
| spl4_180 ),
inference(subsumption_resolution,[],[f4616,f232]) ).
fof(f4616,plain,
( sdtlseqdt0(sz10,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| spl4_180 ),
inference(resolution,[],[f4614,f151]) ).
fof(f4615,plain,
( ~ spl4_180
| ~ spl4_3
| ~ spl4_9
| ~ spl4_64
| ~ spl4_97
| spl4_165 ),
inference(avatar_split_clause,[],[f4607,f3048,f992,f609,f230,f200,f4612]) ).
fof(f992,plain,
( spl4_97
<=> sdtlseqdt0(sz10,xl) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_97])]) ).
fof(f3048,plain,
( spl4_165
<=> sdtlseqdt0(sdtpldt0(xm,xn),xl) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_165])]) ).
fof(f4607,plain,
( ~ sdtlseqdt0(sdtpldt0(xm,xn),sz10)
| ~ spl4_3
| ~ spl4_9
| ~ spl4_64
| ~ spl4_97
| spl4_165 ),
inference(subsumption_resolution,[],[f4600,f611]) ).
fof(f4600,plain,
( ~ sdtlseqdt0(sdtpldt0(xm,xn),sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ spl4_3
| ~ spl4_9
| ~ spl4_97
| spl4_165 ),
inference(resolution,[],[f1984,f3050]) ).
fof(f3050,plain,
( ~ sdtlseqdt0(sdtpldt0(xm,xn),xl)
| spl4_165 ),
inference(avatar_component_clause,[],[f3048]) ).
fof(f1984,plain,
( ! [X18] :
( sdtlseqdt0(X18,xl)
| ~ sdtlseqdt0(X18,sz10)
| ~ aNaturalNumber0(X18) )
| ~ spl4_3
| ~ spl4_9
| ~ spl4_97 ),
inference(subsumption_resolution,[],[f1983,f232]) ).
fof(f1983,plain,
( ! [X18] :
( sdtlseqdt0(X18,xl)
| ~ sdtlseqdt0(X18,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X18) )
| ~ spl4_3
| ~ spl4_97 ),
inference(subsumption_resolution,[],[f1961,f202]) ).
fof(f1961,plain,
( ! [X18] :
( sdtlseqdt0(X18,xl)
| ~ sdtlseqdt0(X18,sz10)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X18) )
| ~ spl4_97 ),
inference(resolution,[],[f184,f994]) ).
fof(f994,plain,
( sdtlseqdt0(sz10,xl)
| ~ spl4_97 ),
inference(avatar_component_clause,[],[f992]) ).
fof(f4598,plain,
( ~ spl4_179
| ~ spl4_1
| ~ spl4_3
| ~ spl4_79
| spl4_98 ),
inference(avatar_split_clause,[],[f4593,f997,f757,f200,f190,f4595]) ).
fof(f4595,plain,
( spl4_179
<=> sz00 = sdtpldt0(xl,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_179])]) ).
fof(f4593,plain,
( sz00 != sdtpldt0(xl,xp)
| ~ spl4_1
| ~ spl4_3
| ~ spl4_79
| spl4_98 ),
inference(subsumption_resolution,[],[f1157,f998]) ).
fof(f1157,plain,
( sz00 != sdtpldt0(xl,xp)
| sz00 = xp
| ~ spl4_1
| ~ spl4_3
| ~ spl4_79 ),
inference(subsumption_resolution,[],[f1156,f192]) ).
fof(f1156,plain,
( sz00 != sdtpldt0(xl,xp)
| sz00 = xp
| ~ aNaturalNumber0(xp)
| ~ spl4_3
| ~ spl4_79 ),
inference(subsumption_resolution,[],[f1069,f202]) ).
fof(f1069,plain,
( sz00 != sdtpldt0(xl,xp)
| sz00 = xp
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xp)
| ~ spl4_79 ),
inference(superposition,[],[f156,f759]) ).
fof(f4592,plain,
( ~ spl4_178
| ~ spl4_1
| ~ spl4_4
| ~ spl4_86
| spl4_98 ),
inference(avatar_split_clause,[],[f4587,f997,f826,f205,f190,f4589]) ).
fof(f4589,plain,
( spl4_178
<=> sz00 = sdtpldt0(xm,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_178])]) ).
fof(f4587,plain,
( sz00 != sdtpldt0(xm,xp)
| ~ spl4_1
| ~ spl4_4
| ~ spl4_86
| spl4_98 ),
inference(subsumption_resolution,[],[f1155,f998]) ).
fof(f1155,plain,
( sz00 != sdtpldt0(xm,xp)
| sz00 = xp
| ~ spl4_1
| ~ spl4_4
| ~ spl4_86 ),
inference(subsumption_resolution,[],[f1154,f192]) ).
fof(f1154,plain,
( sz00 != sdtpldt0(xm,xp)
| sz00 = xp
| ~ aNaturalNumber0(xp)
| ~ spl4_4
| ~ spl4_86 ),
inference(subsumption_resolution,[],[f1075,f207]) ).
fof(f1075,plain,
( sz00 != sdtpldt0(xm,xp)
| sz00 = xp
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xp)
| ~ spl4_86 ),
inference(superposition,[],[f156,f828]) ).
fof(f4586,plain,
( ~ spl4_177
| ~ spl4_1
| ~ spl4_5
| ~ spl4_92
| spl4_98 ),
inference(avatar_split_clause,[],[f4581,f997,f899,f210,f190,f4583]) ).
fof(f4583,plain,
( spl4_177
<=> sz00 = sdtpldt0(xn,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_177])]) ).
fof(f4581,plain,
( sz00 != sdtpldt0(xn,xp)
| ~ spl4_1
| ~ spl4_5
| ~ spl4_92
| spl4_98 ),
inference(subsumption_resolution,[],[f1153,f998]) ).
fof(f1153,plain,
( sz00 != sdtpldt0(xn,xp)
| sz00 = xp
| ~ spl4_1
| ~ spl4_5
| ~ spl4_92 ),
inference(subsumption_resolution,[],[f1152,f192]) ).
fof(f1152,plain,
( sz00 != sdtpldt0(xn,xp)
| sz00 = xp
| ~ aNaturalNumber0(xp)
| ~ spl4_5
| ~ spl4_92 ),
inference(subsumption_resolution,[],[f1080,f212]) ).
fof(f1080,plain,
( sz00 != sdtpldt0(xn,xp)
| sz00 = xp
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xp)
| ~ spl4_92 ),
inference(superposition,[],[f156,f901]) ).
fof(f4580,plain,
( ~ spl4_176
| ~ spl4_5
| ~ spl4_7
| ~ spl4_94
| spl4_129 ),
inference(avatar_split_clause,[],[f4575,f1873,f909,f220,f210,f4577]) ).
fof(f4577,plain,
( spl4_176
<=> sz00 = sdtpldt0(xn,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_176])]) ).
fof(f4575,plain,
( sz00 != sdtpldt0(xn,sK0)
| ~ spl4_5
| ~ spl4_7
| ~ spl4_94
| spl4_129 ),
inference(subsumption_resolution,[],[f1122,f1874]) ).
fof(f1122,plain,
( sz00 != sdtpldt0(xn,sK0)
| sz00 = sK0
| ~ spl4_5
| ~ spl4_7
| ~ spl4_94 ),
inference(subsumption_resolution,[],[f1121,f222]) ).
fof(f1121,plain,
( sz00 != sdtpldt0(xn,sK0)
| sz00 = sK0
| ~ aNaturalNumber0(sK0)
| ~ spl4_5
| ~ spl4_94 ),
inference(subsumption_resolution,[],[f1082,f212]) ).
fof(f1082,plain,
( sz00 != sdtpldt0(xn,sK0)
| sz00 = sK0
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0)
| ~ spl4_94 ),
inference(superposition,[],[f156,f911]) ).
fof(f4574,plain,
( ~ spl4_175
| ~ spl4_4
| ~ spl4_6
| ~ spl4_89
| spl4_131 ),
inference(avatar_split_clause,[],[f4569,f1888,f851,f215,f205,f4571]) ).
fof(f4571,plain,
( spl4_175
<=> sz00 = sdtpldt0(xm,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_175])]) ).
fof(f4569,plain,
( sz00 != sdtpldt0(xm,sK1)
| ~ spl4_4
| ~ spl4_6
| ~ spl4_89
| spl4_131 ),
inference(subsumption_resolution,[],[f1116,f1889]) ).
fof(f1116,plain,
( sz00 != sdtpldt0(xm,sK1)
| sz00 = sK1
| ~ spl4_4
| ~ spl4_6
| ~ spl4_89 ),
inference(subsumption_resolution,[],[f1115,f217]) ).
fof(f1115,plain,
( sz00 != sdtpldt0(xm,sK1)
| sz00 = sK1
| ~ aNaturalNumber0(sK1)
| ~ spl4_4
| ~ spl4_89 ),
inference(subsumption_resolution,[],[f1078,f207]) ).
fof(f1078,plain,
( sz00 != sdtpldt0(xm,sK1)
| sz00 = sK1
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK1)
| ~ spl4_89 ),
inference(superposition,[],[f156,f853]) ).
fof(f4554,plain,
( ~ spl4_174
| ~ spl4_4
| ~ spl4_7
| ~ spl4_88
| spl4_129 ),
inference(avatar_split_clause,[],[f4549,f1873,f846,f220,f205,f4551]) ).
fof(f4551,plain,
( spl4_174
<=> sz00 = sdtpldt0(xm,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_174])]) ).
fof(f4549,plain,
( sz00 != sdtpldt0(xm,sK0)
| ~ spl4_4
| ~ spl4_7
| ~ spl4_88
| spl4_129 ),
inference(subsumption_resolution,[],[f1114,f1874]) ).
fof(f1114,plain,
( sz00 != sdtpldt0(xm,sK0)
| sz00 = sK0
| ~ spl4_4
| ~ spl4_7
| ~ spl4_88 ),
inference(subsumption_resolution,[],[f1113,f222]) ).
fof(f1113,plain,
( sz00 != sdtpldt0(xm,sK0)
| sz00 = sK0
| ~ aNaturalNumber0(sK0)
| ~ spl4_4
| ~ spl4_88 ),
inference(subsumption_resolution,[],[f1077,f207]) ).
fof(f1077,plain,
( sz00 != sdtpldt0(xm,sK0)
| sz00 = sK0
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK0)
| ~ spl4_88 ),
inference(superposition,[],[f156,f848]) ).
fof(f4548,plain,
( ~ spl4_173
| ~ spl4_3
| ~ spl4_6
| ~ spl4_82
| spl4_131 ),
inference(avatar_split_clause,[],[f4543,f1888,f772,f215,f200,f4545]) ).
fof(f4545,plain,
( spl4_173
<=> sz00 = sdtpldt0(xl,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_173])]) ).
fof(f4543,plain,
( sz00 != sdtpldt0(xl,sK1)
| ~ spl4_3
| ~ spl4_6
| ~ spl4_82
| spl4_131 ),
inference(subsumption_resolution,[],[f1106,f1889]) ).
fof(f1106,plain,
( sz00 != sdtpldt0(xl,sK1)
| sz00 = sK1
| ~ spl4_3
| ~ spl4_6
| ~ spl4_82 ),
inference(subsumption_resolution,[],[f1105,f217]) ).
fof(f1105,plain,
( sz00 != sdtpldt0(xl,sK1)
| sz00 = sK1
| ~ aNaturalNumber0(sK1)
| ~ spl4_3
| ~ spl4_82 ),
inference(subsumption_resolution,[],[f1072,f202]) ).
fof(f1072,plain,
( sz00 != sdtpldt0(xl,sK1)
| sz00 = sK1
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK1)
| ~ spl4_82 ),
inference(superposition,[],[f156,f774]) ).
fof(f4542,plain,
( ~ spl4_172
| ~ spl4_3
| ~ spl4_7
| ~ spl4_81
| spl4_129 ),
inference(avatar_split_clause,[],[f4537,f1873,f767,f220,f200,f4539]) ).
fof(f4539,plain,
( spl4_172
<=> sz00 = sdtpldt0(xl,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_172])]) ).
fof(f4537,plain,
( sz00 != sdtpldt0(xl,sK0)
| ~ spl4_3
| ~ spl4_7
| ~ spl4_81
| spl4_129 ),
inference(subsumption_resolution,[],[f1104,f1874]) ).
fof(f1104,plain,
( sz00 != sdtpldt0(xl,sK0)
| sz00 = sK0
| ~ spl4_3
| ~ spl4_7
| ~ spl4_81 ),
inference(subsumption_resolution,[],[f1103,f222]) ).
fof(f1103,plain,
( sz00 != sdtpldt0(xl,sK0)
| sz00 = sK0
| ~ aNaturalNumber0(sK0)
| ~ spl4_3
| ~ spl4_81 ),
inference(subsumption_resolution,[],[f1071,f202]) ).
fof(f1071,plain,
( sz00 != sdtpldt0(xl,sK0)
| sz00 = sK0
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK0)
| ~ spl4_81 ),
inference(superposition,[],[f156,f769]) ).
fof(f4195,plain,
( ~ spl4_171
| ~ spl4_3
| ~ spl4_5
| ~ spl4_78
| spl4_115 ),
inference(avatar_split_clause,[],[f4190,f1313,f752,f210,f200,f4192]) ).
fof(f4192,plain,
( spl4_171
<=> sz00 = sdtpldt0(xl,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_171])]) ).
fof(f4190,plain,
( sz00 != sdtpldt0(xl,xn)
| ~ spl4_3
| ~ spl4_5
| ~ spl4_78
| spl4_115 ),
inference(subsumption_resolution,[],[f1099,f1314]) ).
fof(f1099,plain,
( sz00 != sdtpldt0(xl,xn)
| sz00 = xn
| ~ spl4_3
| ~ spl4_5
| ~ spl4_78 ),
inference(subsumption_resolution,[],[f1098,f212]) ).
fof(f1098,plain,
( sz00 != sdtpldt0(xl,xn)
| sz00 = xn
| ~ aNaturalNumber0(xn)
| ~ spl4_3
| ~ spl4_78 ),
inference(subsumption_resolution,[],[f1068,f202]) ).
fof(f1068,plain,
( sz00 != sdtpldt0(xl,xn)
| sz00 = xn
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xn)
| ~ spl4_78 ),
inference(superposition,[],[f156,f754]) ).
fof(f4189,plain,
( ~ spl4_170
| ~ spl4_3
| ~ spl4_4
| ~ spl4_77
| spl4_106 ),
inference(avatar_split_clause,[],[f4184,f1148,f747,f205,f200,f4186]) ).
fof(f4186,plain,
( spl4_170
<=> sz00 = sdtpldt0(xl,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_170])]) ).
fof(f4184,plain,
( sz00 != sdtpldt0(xl,xm)
| ~ spl4_3
| ~ spl4_4
| ~ spl4_77
| spl4_106 ),
inference(subsumption_resolution,[],[f1096,f1149]) ).
fof(f1096,plain,
( sz00 != sdtpldt0(xl,xm)
| sz00 = xm
| ~ spl4_3
| ~ spl4_4
| ~ spl4_77 ),
inference(subsumption_resolution,[],[f1095,f207]) ).
fof(f1095,plain,
( sz00 != sdtpldt0(xl,xm)
| sz00 = xm
| ~ aNaturalNumber0(xm)
| ~ spl4_3
| ~ spl4_77 ),
inference(subsumption_resolution,[],[f1067,f202]) ).
fof(f1067,plain,
( sz00 != sdtpldt0(xl,xm)
| sz00 = xm
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xm)
| ~ spl4_77 ),
inference(superposition,[],[f156,f749]) ).
fof(f4183,plain,
( ~ spl4_169
| ~ spl4_5
| ~ spl4_9
| ~ spl4_91
| spl4_115 ),
inference(avatar_split_clause,[],[f4178,f1313,f894,f230,f210,f4180]) ).
fof(f4180,plain,
( spl4_169
<=> sz00 = sdtpldt0(sz10,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_169])]) ).
fof(f4178,plain,
( sz00 != sdtpldt0(sz10,xn)
| ~ spl4_5
| ~ spl4_9
| ~ spl4_91
| spl4_115 ),
inference(subsumption_resolution,[],[f1094,f1314]) ).
fof(f1094,plain,
( sz00 != sdtpldt0(sz10,xn)
| sz00 = xn
| ~ spl4_5
| ~ spl4_9
| ~ spl4_91 ),
inference(subsumption_resolution,[],[f1093,f212]) ).
fof(f1093,plain,
( sz00 != sdtpldt0(sz10,xn)
| sz00 = xn
| ~ aNaturalNumber0(xn)
| ~ spl4_9
| ~ spl4_91 ),
inference(subsumption_resolution,[],[f1065,f232]) ).
fof(f1065,plain,
( sz00 != sdtpldt0(sz10,xn)
| sz00 = xn
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ spl4_91 ),
inference(superposition,[],[f156,f896]) ).
fof(f4177,plain,
( ~ spl4_168
| ~ spl4_4
| ~ spl4_9
| ~ spl4_84
| spl4_106 ),
inference(avatar_split_clause,[],[f4172,f1148,f816,f230,f205,f4174]) ).
fof(f4174,plain,
( spl4_168
<=> sz00 = sdtpldt0(sz10,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_168])]) ).
fof(f4172,plain,
( sz00 != sdtpldt0(sz10,xm)
| ~ spl4_4
| ~ spl4_9
| ~ spl4_84
| spl4_106 ),
inference(subsumption_resolution,[],[f1091,f1149]) ).
fof(f1091,plain,
( sz00 != sdtpldt0(sz10,xm)
| sz00 = xm
| ~ spl4_4
| ~ spl4_9
| ~ spl4_84 ),
inference(subsumption_resolution,[],[f1090,f207]) ).
fof(f1090,plain,
( sz00 != sdtpldt0(sz10,xm)
| sz00 = xm
| ~ aNaturalNumber0(xm)
| ~ spl4_9
| ~ spl4_84 ),
inference(subsumption_resolution,[],[f1064,f232]) ).
fof(f1064,plain,
( sz00 != sdtpldt0(sz10,xm)
| sz00 = xm
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ spl4_84 ),
inference(superposition,[],[f156,f818]) ).
fof(f3538,plain,
( ~ spl4_3
| ~ spl4_8
| ~ spl4_21
| spl4_113 ),
inference(avatar_contradiction_clause,[],[f3537]) ).
fof(f3537,plain,
( $false
| ~ spl4_3
| ~ spl4_8
| ~ spl4_21
| spl4_113 ),
inference(subsumption_resolution,[],[f3536,f227]) ).
fof(f3536,plain,
( ~ aNaturalNumber0(sz00)
| ~ spl4_3
| ~ spl4_8
| ~ spl4_21
| spl4_113 ),
inference(trivial_inequality_removal,[],[f3531]) ).
fof(f3531,plain,
( sz00 != sz00
| ~ aNaturalNumber0(sz00)
| ~ spl4_3
| ~ spl4_8
| ~ spl4_21
| spl4_113 ),
inference(resolution,[],[f1532,f1271]) ).
fof(f1271,plain,
( ~ doDivides0(xl,sz00)
| spl4_113 ),
inference(avatar_component_clause,[],[f1270]) ).
fof(f1270,plain,
( spl4_113
<=> doDivides0(xl,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_113])]) ).
fof(f1532,plain,
( ! [X20] :
( doDivides0(xl,X20)
| sz00 != X20
| ~ aNaturalNumber0(X20) )
| ~ spl4_3
| ~ spl4_8
| ~ spl4_21 ),
inference(subsumption_resolution,[],[f1531,f202]) ).
fof(f1531,plain,
( ! [X20] :
( sz00 != X20
| doDivides0(xl,X20)
| ~ aNaturalNumber0(X20)
| ~ aNaturalNumber0(xl) )
| ~ spl4_8
| ~ spl4_21 ),
inference(subsumption_resolution,[],[f1472,f227]) ).
fof(f1472,plain,
( ! [X20] :
( sz00 != X20
| doDivides0(xl,X20)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X20)
| ~ aNaturalNumber0(xl) )
| ~ spl4_21 ),
inference(superposition,[],[f170,f301]) ).
fof(f301,plain,
( sz00 = sdtasdt0(xl,sz00)
| ~ spl4_21 ),
inference(avatar_component_clause,[],[f299]) ).
fof(f299,plain,
( spl4_21
<=> sz00 = sdtasdt0(xl,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_21])]) ).
fof(f3485,plain,
( ~ spl4_167
| ~ spl4_2
| ~ spl4_3
| ~ spl4_9
| ~ spl4_18
| ~ spl4_61
| spl4_102
| spl4_136 ),
inference(avatar_split_clause,[],[f3480,f1930,f1049,f566,f275,f230,f200,f195,f3482]) ).
fof(f1930,plain,
( spl4_136
<=> sz10 = xl ),
introduced(avatar_definition,[new_symbols(naming,[spl4_136])]) ).
fof(f3480,plain,
( sdtpldt0(xm,xn) != xq
| ~ spl4_2
| ~ spl4_3
| ~ spl4_9
| ~ spl4_18
| ~ spl4_61
| spl4_102
| spl4_136 ),
inference(subsumption_resolution,[],[f3479,f202]) ).
fof(f3479,plain,
( sdtpldt0(xm,xn) != xq
| ~ aNaturalNumber0(xl)
| ~ spl4_2
| ~ spl4_9
| ~ spl4_18
| ~ spl4_61
| spl4_102
| spl4_136 ),
inference(subsumption_resolution,[],[f3478,f1931]) ).
fof(f1931,plain,
( sz10 != xl
| spl4_136 ),
inference(avatar_component_clause,[],[f1930]) ).
fof(f3478,plain,
( sdtpldt0(xm,xn) != xq
| sz10 = xl
| ~ aNaturalNumber0(xl)
| ~ spl4_2
| ~ spl4_9
| ~ spl4_18
| ~ spl4_61
| spl4_102 ),
inference(superposition,[],[f3378,f277]) ).
fof(f3378,plain,
( ! [X16] :
( xq != sdtasdt0(X16,xq)
| sz10 = X16
| ~ aNaturalNumber0(X16) )
| ~ spl4_2
| ~ spl4_9
| ~ spl4_61
| spl4_102 ),
inference(subsumption_resolution,[],[f3377,f197]) ).
fof(f3377,plain,
( ! [X16] :
( xq != sdtasdt0(X16,xq)
| sz10 = X16
| ~ aNaturalNumber0(X16)
| ~ aNaturalNumber0(xq) )
| ~ spl4_9
| ~ spl4_61
| spl4_102 ),
inference(subsumption_resolution,[],[f3376,f1051]) ).
fof(f3376,plain,
( ! [X16] :
( xq != sdtasdt0(X16,xq)
| sz10 = X16
| ~ aNaturalNumber0(X16)
| sz00 = xq
| ~ aNaturalNumber0(xq) )
| ~ spl4_9
| ~ spl4_61 ),
inference(subsumption_resolution,[],[f3296,f232]) ).
fof(f3296,plain,
( ! [X16] :
( xq != sdtasdt0(X16,xq)
| sz10 = X16
| ~ aNaturalNumber0(X16)
| ~ aNaturalNumber0(sz10)
| sz00 = xq
| ~ aNaturalNumber0(xq) )
| ~ spl4_61 ),
inference(superposition,[],[f145,f568]) ).
fof(f3055,plain,
( ~ spl4_165
| spl4_166
| ~ spl4_3
| ~ spl4_64
| ~ spl4_164 ),
inference(avatar_split_clause,[],[f3037,f3025,f609,f200,f3052,f3048]) ).
fof(f3025,plain,
( spl4_164
<=> sdtlseqdt0(xl,sdtpldt0(xm,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_164])]) ).
fof(f3037,plain,
( xl = sdtpldt0(xm,xn)
| ~ sdtlseqdt0(sdtpldt0(xm,xn),xl)
| ~ spl4_3
| ~ spl4_64
| ~ spl4_164 ),
inference(subsumption_resolution,[],[f3036,f611]) ).
fof(f3036,plain,
( xl = sdtpldt0(xm,xn)
| ~ sdtlseqdt0(sdtpldt0(xm,xn),xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ spl4_3
| ~ spl4_164 ),
inference(subsumption_resolution,[],[f3031,f202]) ).
fof(f3031,plain,
( xl = sdtpldt0(xm,xn)
| ~ sdtlseqdt0(sdtpldt0(xm,xn),xl)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ spl4_164 ),
inference(resolution,[],[f3027,f167]) ).
fof(f3027,plain,
( sdtlseqdt0(xl,sdtpldt0(xm,xn))
| ~ spl4_164 ),
inference(avatar_component_clause,[],[f3025]) ).
fof(f3028,plain,
( spl4_164
| ~ spl4_2
| ~ spl4_3
| ~ spl4_18
| spl4_102 ),
inference(avatar_split_clause,[],[f3023,f1049,f275,f200,f195,f3025]) ).
fof(f3023,plain,
( sdtlseqdt0(xl,sdtpldt0(xm,xn))
| ~ spl4_2
| ~ spl4_3
| ~ spl4_18
| spl4_102 ),
inference(subsumption_resolution,[],[f986,f1051]) ).
fof(f986,plain,
( sdtlseqdt0(xl,sdtpldt0(xm,xn))
| sz00 = xq
| ~ spl4_2
| ~ spl4_3
| ~ spl4_18 ),
inference(subsumption_resolution,[],[f985,f197]) ).
fof(f985,plain,
( sdtlseqdt0(xl,sdtpldt0(xm,xn))
| sz00 = xq
| ~ aNaturalNumber0(xq)
| ~ spl4_3
| ~ spl4_18 ),
inference(subsumption_resolution,[],[f952,f202]) ).
fof(f952,plain,
( sdtlseqdt0(xl,sdtpldt0(xm,xn))
| sz00 = xq
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xq)
| ~ spl4_18 ),
inference(superposition,[],[f152,f277]) ).
fof(f3006,plain,
( spl4_163
| ~ spl4_3
| ~ spl4_8
| ~ spl4_119 ),
inference(avatar_split_clause,[],[f2933,f1582,f225,f200,f3003]) ).
fof(f1582,plain,
( spl4_119
<=> sdtlseqdt0(sz00,xl) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_119])]) ).
fof(f2933,plain,
( xl = sdtpldt0(sz00,sK3(sz00,xl))
| ~ spl4_3
| ~ spl4_8
| ~ spl4_119 ),
inference(subsumption_resolution,[],[f2932,f227]) ).
fof(f2932,plain,
( xl = sdtpldt0(sz00,sK3(sz00,xl))
| ~ aNaturalNumber0(sz00)
| ~ spl4_3
| ~ spl4_119 ),
inference(subsumption_resolution,[],[f2928,f202]) ).
fof(f2928,plain,
( xl = sdtpldt0(sz00,sK3(sz00,xl))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sz00)
| ~ spl4_119 ),
inference(resolution,[],[f1584,f172]) ).
fof(f1584,plain,
( sdtlseqdt0(sz00,xl)
| ~ spl4_119 ),
inference(avatar_component_clause,[],[f1582]) ).
fof(f2926,plain,
( spl4_119
| ~ spl4_3
| ~ spl4_8
| spl4_118 ),
inference(avatar_split_clause,[],[f1580,f1438,f225,f200,f1582]) ).
fof(f1438,plain,
( spl4_118
<=> sdtlseqdt0(xl,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_118])]) ).
fof(f1580,plain,
( sdtlseqdt0(sz00,xl)
| ~ spl4_3
| ~ spl4_8
| spl4_118 ),
inference(subsumption_resolution,[],[f1579,f227]) ).
fof(f1579,plain,
( sdtlseqdt0(sz00,xl)
| ~ aNaturalNumber0(sz00)
| ~ spl4_3
| spl4_118 ),
inference(subsumption_resolution,[],[f1575,f202]) ).
fof(f1575,plain,
( sdtlseqdt0(sz00,xl)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sz00)
| spl4_118 ),
inference(resolution,[],[f1439,f151]) ).
fof(f1439,plain,
( ~ sdtlseqdt0(xl,sz00)
| spl4_118 ),
inference(avatar_component_clause,[],[f1438]) ).
fof(f2925,plain,
( spl4_119
| ~ spl4_3
| ~ spl4_8
| spl4_118 ),
inference(avatar_split_clause,[],[f1578,f1438,f225,f200,f1582]) ).
fof(f1578,plain,
( sdtlseqdt0(sz00,xl)
| ~ spl4_3
| ~ spl4_8
| spl4_118 ),
inference(subsumption_resolution,[],[f1577,f202]) ).
fof(f1577,plain,
( sdtlseqdt0(sz00,xl)
| ~ aNaturalNumber0(xl)
| ~ spl4_8
| spl4_118 ),
inference(subsumption_resolution,[],[f1574,f227]) ).
fof(f1574,plain,
( sdtlseqdt0(sz00,xl)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| spl4_118 ),
inference(resolution,[],[f1439,f151]) ).
fof(f2915,plain,
( ~ spl4_3
| ~ spl4_8
| ~ spl4_118
| spl4_162 ),
inference(avatar_contradiction_clause,[],[f2914]) ).
fof(f2914,plain,
( $false
| ~ spl4_3
| ~ spl4_8
| ~ spl4_118
| spl4_162 ),
inference(subsumption_resolution,[],[f2913,f202]) ).
fof(f2913,plain,
( ~ aNaturalNumber0(xl)
| ~ spl4_8
| ~ spl4_118
| spl4_162 ),
inference(subsumption_resolution,[],[f2912,f227]) ).
fof(f2912,plain,
( ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ spl4_118
| spl4_162 ),
inference(subsumption_resolution,[],[f2911,f1440]) ).
fof(f1440,plain,
( sdtlseqdt0(xl,sz00)
| ~ spl4_118 ),
inference(avatar_component_clause,[],[f1438]) ).
fof(f2911,plain,
( ~ sdtlseqdt0(xl,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| spl4_162 ),
inference(resolution,[],[f2889,f171]) ).
fof(f2889,plain,
( ~ aNaturalNumber0(sK3(xl,sz00))
| spl4_162 ),
inference(avatar_component_clause,[],[f2887]) ).
fof(f2887,plain,
( spl4_162
<=> aNaturalNumber0(sK3(xl,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_162])]) ).
fof(f2910,plain,
( ~ spl4_162
| ~ spl4_3
| spl4_11
| ~ spl4_161 ),
inference(avatar_split_clause,[],[f2885,f2844,f240,f200,f2887]) ).
fof(f2844,plain,
( spl4_161
<=> sz00 = sdtpldt0(xl,sK3(xl,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_161])]) ).
fof(f2885,plain,
( ~ aNaturalNumber0(sK3(xl,sz00))
| ~ spl4_3
| spl4_11
| ~ spl4_161 ),
inference(global_subsumption,[],[f145,f144,f155,f163,f162,f161,f160,f166,f165,f175,f177,f176,f181,f180,f187,f179,f178,f188,f183,f117,f120,f123,f124,f125,f126,f129,f202,f132,f133,f115,f116,f128,f242,f134,f118,f119,f127,f131,f135,f114,f121,f122,f130,f136,f291,f137,f330,f138,f364,f139,f403,f140,f141,f437,f146,f525,f526,f527,f528,f529,f530,f483,f147,f580,f581,f582,f583,f584,f585,f150,f151,f143,f148,f718,f720,f721,f730,f732,f149,f781,f783,f784,f168,f835,f836,f837,f838,f839,f840,f841,f842,f843,f171,f882,f883,f884,f885,f886,f887,f888,f889,f890,f152,f156,f157,f159,f167,f1298,f153,f1377,f169,f170,f1567,f172,f1613,f1612,f1611,f1610,f1614,f173,f1772,f158,f182,f184,f1975,f1974,f1973,f1977,f185,f186,f154,f2623,f164,f2709,f174,f2808,f2810,f2811,f2818,f2819,f2846,f2873,f2874,f2875,f2876,f2877,f2878,f2879,f2880,f2881,f2882,f2883,f2884]) ).
fof(f2884,plain,
( ! [X4] :
( sz00 != sdtpldt0(X4,sK3(xl,sz00))
| xl = X4
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(sK3(xl,sz00)) )
| ~ spl4_3
| ~ spl4_161 ),
inference(subsumption_resolution,[],[f2869,f202]) ).
fof(f2869,plain,
( ! [X4] :
( sz00 != sdtpldt0(X4,sK3(xl,sz00))
| xl = X4
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(sK3(xl,sz00)) )
| ~ spl4_161 ),
inference(superposition,[],[f186,f2846]) ).
fof(f2883,plain,
( ~ aNaturalNumber0(sK3(xl,sz00))
| ~ spl4_3
| spl4_11
| ~ spl4_161 ),
inference(global_subsumption,[],[f145,f144,f155,f163,f162,f161,f160,f166,f165,f175,f177,f176,f181,f180,f187,f179,f178,f188,f183,f117,f120,f123,f124,f125,f126,f129,f202,f132,f133,f115,f116,f128,f242,f134,f118,f119,f127,f131,f135,f114,f121,f122,f130,f136,f291,f137,f330,f138,f364,f139,f403,f140,f141,f437,f146,f525,f526,f527,f528,f529,f530,f483,f147,f580,f581,f582,f583,f584,f585,f150,f151,f143,f148,f718,f720,f721,f730,f732,f149,f781,f783,f784,f168,f835,f836,f837,f838,f839,f840,f841,f842,f843,f171,f882,f883,f884,f885,f886,f887,f888,f889,f890,f152,f156,f157,f159,f167,f1298,f153,f1377,f169,f170,f1567,f172,f1613,f1612,f1611,f1610,f1614,f173,f1772,f158,f182,f184,f1975,f1974,f1973,f1977,f185,f186,f154,f2623,f164,f2709,f174,f2808,f2810,f2811,f2818,f2819,f2846,f2873,f2874,f2875,f2876,f2877,f2878,f2879,f2880,f2881,f2882]) ).
fof(f2882,plain,
( ! [X3] :
( sz00 != sdtpldt0(X3,sK3(xl,sz00))
| xl = X3
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(sK3(xl,sz00)) )
| ~ spl4_3
| ~ spl4_161 ),
inference(subsumption_resolution,[],[f2868,f202]) ).
fof(f2868,plain,
( ! [X3] :
( sz00 != sdtpldt0(X3,sK3(xl,sz00))
| xl = X3
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK3(xl,sz00)) )
| ~ spl4_161 ),
inference(superposition,[],[f186,f2846]) ).
fof(f2881,plain,
( ~ aNaturalNumber0(sK3(xl,sz00))
| ~ spl4_3
| spl4_11
| ~ spl4_161 ),
inference(global_subsumption,[],[f145,f144,f155,f163,f162,f161,f160,f166,f165,f175,f177,f176,f181,f180,f187,f179,f178,f188,f183,f117,f120,f123,f124,f125,f126,f129,f202,f132,f133,f115,f116,f128,f242,f134,f118,f119,f127,f131,f135,f114,f121,f122,f130,f136,f291,f137,f330,f138,f364,f139,f403,f140,f141,f437,f146,f525,f526,f527,f528,f529,f530,f483,f147,f580,f581,f582,f583,f584,f585,f150,f151,f143,f148,f718,f720,f721,f730,f732,f149,f781,f783,f784,f168,f835,f836,f837,f838,f839,f840,f841,f842,f843,f171,f882,f883,f884,f885,f886,f887,f888,f889,f890,f152,f156,f157,f159,f167,f1298,f153,f1377,f169,f170,f1567,f172,f1613,f1612,f1611,f1610,f1614,f173,f1772,f158,f182,f184,f1975,f1974,f1973,f1977,f185,f186,f154,f2623,f164,f2709,f174,f2808,f2810,f2811,f2818,f2819,f2846,f2873,f2874,f2875,f2876,f2877,f2878,f2879,f2880]) ).
fof(f2880,plain,
( ! [X2] :
( sz00 != sdtpldt0(xl,X2)
| sK3(xl,sz00) = X2
| ~ aNaturalNumber0(sK3(xl,sz00))
| ~ aNaturalNumber0(X2) )
| ~ spl4_3
| ~ spl4_161 ),
inference(subsumption_resolution,[],[f2867,f202]) ).
fof(f2867,plain,
( ! [X2] :
( sz00 != sdtpldt0(xl,X2)
| sK3(xl,sz00) = X2
| ~ aNaturalNumber0(sK3(xl,sz00))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(xl) )
| ~ spl4_161 ),
inference(superposition,[],[f185,f2846]) ).
fof(f2879,plain,
( ~ aNaturalNumber0(sK3(xl,sz00))
| ~ spl4_3
| spl4_11
| ~ spl4_161 ),
inference(global_subsumption,[],[f145,f144,f155,f163,f162,f161,f160,f166,f165,f175,f177,f176,f181,f180,f187,f179,f178,f188,f183,f117,f120,f123,f124,f125,f126,f129,f202,f132,f133,f115,f116,f128,f242,f134,f118,f119,f127,f131,f135,f114,f121,f122,f130,f136,f291,f137,f330,f138,f364,f139,f403,f140,f141,f437,f146,f525,f526,f527,f528,f529,f530,f483,f147,f580,f581,f582,f583,f584,f585,f150,f151,f143,f148,f718,f720,f721,f730,f732,f149,f781,f783,f784,f168,f835,f836,f837,f838,f839,f840,f841,f842,f843,f171,f882,f883,f884,f885,f886,f887,f888,f889,f890,f152,f156,f157,f159,f167,f1298,f153,f1377,f169,f170,f1567,f172,f1613,f1612,f1611,f1610,f1614,f173,f1772,f158,f182,f184,f1975,f1974,f1973,f1977,f185,f186,f154,f2623,f164,f2709,f174,f2808,f2810,f2811,f2818,f2819,f2846,f2873,f2874,f2875,f2876,f2877,f2878]) ).
fof(f2878,plain,
( ! [X1] :
( sz00 != sdtpldt0(xl,X1)
| sK3(xl,sz00) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sK3(xl,sz00)) )
| ~ spl4_3
| ~ spl4_161 ),
inference(subsumption_resolution,[],[f2866,f202]) ).
fof(f2866,plain,
( ! [X1] :
( sz00 != sdtpldt0(xl,X1)
| sK3(xl,sz00) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sK3(xl,sz00))
| ~ aNaturalNumber0(xl) )
| ~ spl4_161 ),
inference(superposition,[],[f185,f2846]) ).
fof(f2877,plain,
( ~ aNaturalNumber0(sK3(xl,sz00))
| ~ spl4_3
| spl4_11
| ~ spl4_161 ),
inference(global_subsumption,[],[f145,f144,f155,f163,f162,f161,f160,f166,f165,f175,f177,f176,f181,f180,f187,f179,f178,f188,f183,f117,f120,f123,f124,f125,f126,f129,f202,f132,f133,f115,f116,f128,f242,f134,f118,f119,f127,f131,f135,f114,f121,f122,f130,f136,f291,f137,f330,f138,f364,f139,f403,f140,f141,f437,f146,f525,f526,f527,f528,f529,f530,f483,f147,f580,f581,f582,f583,f584,f585,f150,f151,f143,f148,f718,f720,f721,f730,f732,f149,f781,f783,f784,f168,f835,f836,f837,f838,f839,f840,f841,f842,f843,f171,f882,f883,f884,f885,f886,f887,f888,f889,f890,f152,f156,f157,f159,f167,f1298,f153,f1377,f169,f170,f1567,f172,f1613,f1612,f1611,f1610,f1614,f173,f1772,f158,f182,f184,f1975,f1974,f1973,f1977,f185,f186,f154,f2623,f164,f2709,f174,f2808,f2810,f2811,f2818,f2819,f2846,f2873,f2874,f2875,f2876]) ).
fof(f2876,plain,
( ! [X0] :
( sz00 != X0
| sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sK3(xl,sz00))
| ~ aNaturalNumber0(X0) )
| ~ spl4_3
| ~ spl4_161 ),
inference(subsumption_resolution,[],[f2865,f202]) ).
fof(f2865,plain,
( ! [X0] :
( sz00 != X0
| sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sK3(xl,sz00))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xl) )
| ~ spl4_161 ),
inference(superposition,[],[f173,f2846]) ).
fof(f2875,plain,
( ~ aNaturalNumber0(sK3(xl,sz00))
| ~ spl4_3
| spl4_11
| ~ spl4_161 ),
inference(global_subsumption,[],[f145,f144,f155,f163,f162,f161,f160,f166,f165,f175,f177,f176,f181,f180,f187,f179,f178,f188,f183,f117,f120,f123,f124,f125,f126,f129,f202,f132,f133,f115,f116,f128,f242,f134,f118,f119,f127,f131,f135,f114,f121,f122,f130,f136,f291,f137,f330,f138,f364,f139,f403,f140,f141,f437,f146,f525,f526,f527,f528,f529,f530,f483,f147,f580,f581,f582,f583,f584,f585,f150,f151,f143,f148,f718,f720,f721,f730,f732,f149,f781,f783,f784,f168,f835,f836,f837,f838,f839,f840,f841,f842,f843,f171,f882,f883,f884,f885,f886,f887,f888,f889,f890,f152,f156,f157,f159,f167,f1298,f153,f1377,f169,f170,f1567,f172,f1613,f1612,f1611,f1610,f1614,f173,f1772,f158,f182,f184,f1975,f1974,f1973,f1977,f185,f186,f154,f2623,f164,f2709,f174,f2808,f2810,f2811,f2818,f2819,f2846,f2873,f2874]) ).
fof(f2874,plain,
( sz00 = sK3(xl,sz00)
| ~ aNaturalNumber0(sK3(xl,sz00))
| ~ spl4_3
| ~ spl4_161 ),
inference(subsumption_resolution,[],[f2870,f202]) ).
fof(f2870,plain,
( sz00 = sK3(xl,sz00)
| ~ aNaturalNumber0(sK3(xl,sz00))
| ~ aNaturalNumber0(xl)
| ~ spl4_161 ),
inference(trivial_inequality_removal,[],[f2864]) ).
fof(f2864,plain,
( sz00 != sz00
| sz00 = sK3(xl,sz00)
| ~ aNaturalNumber0(sK3(xl,sz00))
| ~ aNaturalNumber0(xl)
| ~ spl4_161 ),
inference(superposition,[],[f157,f2846]) ).
fof(f2873,plain,
( ~ aNaturalNumber0(sK3(xl,sz00))
| ~ spl4_3
| spl4_11
| ~ spl4_161 ),
inference(subsumption_resolution,[],[f2872,f202]) ).
fof(f2872,plain,
( ~ aNaturalNumber0(sK3(xl,sz00))
| ~ aNaturalNumber0(xl)
| spl4_11
| ~ spl4_161 ),
inference(subsumption_resolution,[],[f2871,f242]) ).
fof(f2871,plain,
( sz00 = xl
| ~ aNaturalNumber0(sK3(xl,sz00))
| ~ aNaturalNumber0(xl)
| ~ spl4_161 ),
inference(trivial_inequality_removal,[],[f2863]) ).
fof(f2863,plain,
( sz00 != sz00
| sz00 = xl
| ~ aNaturalNumber0(sK3(xl,sz00))
| ~ aNaturalNumber0(xl)
| ~ spl4_161 ),
inference(superposition,[],[f156,f2846]) ).
fof(f2846,plain,
( sz00 = sdtpldt0(xl,sK3(xl,sz00))
| ~ spl4_161 ),
inference(avatar_component_clause,[],[f2844]) ).
fof(f2909,plain,
( ~ spl4_162
| ~ spl4_3
| spl4_11
| ~ spl4_161 ),
inference(avatar_split_clause,[],[f2883,f2844,f240,f200,f2887]) ).
fof(f2908,plain,
( ~ spl4_162
| ~ spl4_3
| spl4_11
| ~ spl4_161 ),
inference(avatar_split_clause,[],[f2881,f2844,f240,f200,f2887]) ).
fof(f2907,plain,
( ~ spl4_162
| ~ spl4_3
| spl4_11
| ~ spl4_161 ),
inference(avatar_split_clause,[],[f2879,f2844,f240,f200,f2887]) ).
fof(f2892,plain,
( ~ spl4_162
| ~ spl4_3
| spl4_11
| ~ spl4_161 ),
inference(avatar_split_clause,[],[f2877,f2844,f240,f200,f2887]) ).
fof(f2891,plain,
( ~ spl4_162
| ~ spl4_3
| spl4_11
| ~ spl4_161 ),
inference(avatar_split_clause,[],[f2875,f2844,f240,f200,f2887]) ).
fof(f2890,plain,
( ~ spl4_162
| ~ spl4_3
| spl4_11
| ~ spl4_161 ),
inference(avatar_split_clause,[],[f2873,f2844,f240,f200,f2887]) ).
fof(f2847,plain,
( spl4_161
| ~ spl4_3
| ~ spl4_8
| ~ spl4_118 ),
inference(avatar_split_clause,[],[f1629,f1438,f225,f200,f2844]) ).
fof(f1629,plain,
( sz00 = sdtpldt0(xl,sK3(xl,sz00))
| ~ spl4_3
| ~ spl4_8
| ~ spl4_118 ),
inference(subsumption_resolution,[],[f1628,f202]) ).
fof(f1628,plain,
( sz00 = sdtpldt0(xl,sK3(xl,sz00))
| ~ aNaturalNumber0(xl)
| ~ spl4_8
| ~ spl4_118 ),
inference(subsumption_resolution,[],[f1605,f227]) ).
fof(f1605,plain,
( sz00 = sdtpldt0(xl,sK3(xl,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ spl4_118 ),
inference(resolution,[],[f172,f1440]) ).
fof(f2842,plain,
( spl4_160
| ~ spl4_8
| ~ spl4_9
| ~ spl4_114 ),
inference(avatar_split_clause,[],[f1616,f1276,f230,f225,f2839]) ).
fof(f2837,plain,
( spl4_159
| ~ spl4_3
| ~ spl4_8
| ~ spl4_113 ),
inference(avatar_split_clause,[],[f1572,f1270,f225,f200,f2834]) ).
fof(f1572,plain,
( sz00 = sdtasdt0(xl,sK2(xl,sz00))
| ~ spl4_3
| ~ spl4_8
| ~ spl4_113 ),
inference(subsumption_resolution,[],[f1571,f202]) ).
fof(f1571,plain,
( sz00 = sdtasdt0(xl,sK2(xl,sz00))
| ~ aNaturalNumber0(xl)
| ~ spl4_8
| ~ spl4_113 ),
inference(subsumption_resolution,[],[f1570,f227]) ).
fof(f1570,plain,
( sz00 = sdtasdt0(xl,sK2(xl,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ spl4_113 ),
inference(resolution,[],[f1272,f169]) ).
fof(f1272,plain,
( doDivides0(xl,sz00)
| ~ spl4_113 ),
inference(avatar_component_clause,[],[f1270]) ).
fof(f2739,plain,
( spl4_158
| ~ spl4_6
| ~ spl4_9
| ~ spl4_132 ),
inference(avatar_split_clause,[],[f1908,f1892,f230,f215,f2736]) ).
fof(f2736,plain,
( spl4_158
<=> sK1 = sdtpldt0(sz10,sK3(sz10,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_158])]) ).
fof(f1892,plain,
( spl4_132
<=> sdtlseqdt0(sz10,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_132])]) ).
fof(f1908,plain,
( sK1 = sdtpldt0(sz10,sK3(sz10,sK1))
| ~ spl4_6
| ~ spl4_9
| ~ spl4_132 ),
inference(subsumption_resolution,[],[f1907,f232]) ).
fof(f1907,plain,
( sK1 = sdtpldt0(sz10,sK3(sz10,sK1))
| ~ aNaturalNumber0(sz10)
| ~ spl4_6
| ~ spl4_132 ),
inference(subsumption_resolution,[],[f1905,f217]) ).
fof(f1905,plain,
( sK1 = sdtpldt0(sz10,sK3(sz10,sK1))
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sz10)
| ~ spl4_132 ),
inference(resolution,[],[f1894,f172]) ).
fof(f1894,plain,
( sdtlseqdt0(sz10,sK1)
| ~ spl4_132 ),
inference(avatar_component_clause,[],[f1892]) ).
fof(f2734,plain,
( spl4_157
| ~ spl4_7
| ~ spl4_9
| ~ spl4_130 ),
inference(avatar_split_clause,[],[f1884,f1877,f230,f220,f2731]) ).
fof(f2731,plain,
( spl4_157
<=> sK0 = sdtpldt0(sz10,sK3(sz10,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_157])]) ).
fof(f1877,plain,
( spl4_130
<=> sdtlseqdt0(sz10,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_130])]) ).
fof(f1884,plain,
( sK0 = sdtpldt0(sz10,sK3(sz10,sK0))
| ~ spl4_7
| ~ spl4_9
| ~ spl4_130 ),
inference(subsumption_resolution,[],[f1883,f232]) ).
fof(f1883,plain,
( sK0 = sdtpldt0(sz10,sK3(sz10,sK0))
| ~ aNaturalNumber0(sz10)
| ~ spl4_7
| ~ spl4_130 ),
inference(subsumption_resolution,[],[f1881,f222]) ).
fof(f1881,plain,
( sK0 = sdtpldt0(sz10,sK3(sz10,sK0))
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sz10)
| ~ spl4_130 ),
inference(resolution,[],[f1879,f172]) ).
fof(f1879,plain,
( sdtlseqdt0(sz10,sK0)
| ~ spl4_130 ),
inference(avatar_component_clause,[],[f1877]) ).
fof(f2729,plain,
( spl4_156
| ~ spl4_1
| ~ spl4_9
| ~ spl4_117 ),
inference(avatar_split_clause,[],[f1625,f1326,f230,f190,f2726]) ).
fof(f2726,plain,
( spl4_156
<=> xp = sdtpldt0(sz10,sK3(sz10,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_156])]) ).
fof(f1326,plain,
( spl4_117
<=> sdtlseqdt0(sz10,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_117])]) ).
fof(f1625,plain,
( xp = sdtpldt0(sz10,sK3(sz10,xp))
| ~ spl4_1
| ~ spl4_9
| ~ spl4_117 ),
inference(subsumption_resolution,[],[f1624,f232]) ).
fof(f1624,plain,
( xp = sdtpldt0(sz10,sK3(sz10,xp))
| ~ aNaturalNumber0(sz10)
| ~ spl4_1
| ~ spl4_117 ),
inference(subsumption_resolution,[],[f1603,f192]) ).
fof(f1603,plain,
( xp = sdtpldt0(sz10,sK3(sz10,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz10)
| ~ spl4_117 ),
inference(resolution,[],[f172,f1328]) ).
fof(f1328,plain,
( sdtlseqdt0(sz10,xp)
| ~ spl4_117 ),
inference(avatar_component_clause,[],[f1326]) ).
fof(f2724,plain,
( spl4_155
| ~ spl4_5
| ~ spl4_9
| ~ spl4_116 ),
inference(avatar_split_clause,[],[f1623,f1317,f230,f210,f2721]) ).
fof(f2721,plain,
( spl4_155
<=> xn = sdtpldt0(sz10,sK3(sz10,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_155])]) ).
fof(f1317,plain,
( spl4_116
<=> sdtlseqdt0(sz10,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_116])]) ).
fof(f1623,plain,
( xn = sdtpldt0(sz10,sK3(sz10,xn))
| ~ spl4_5
| ~ spl4_9
| ~ spl4_116 ),
inference(subsumption_resolution,[],[f1622,f232]) ).
fof(f1622,plain,
( xn = sdtpldt0(sz10,sK3(sz10,xn))
| ~ aNaturalNumber0(sz10)
| ~ spl4_5
| ~ spl4_116 ),
inference(subsumption_resolution,[],[f1602,f212]) ).
fof(f1602,plain,
( xn = sdtpldt0(sz10,sK3(sz10,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz10)
| ~ spl4_116 ),
inference(resolution,[],[f172,f1319]) ).
fof(f1319,plain,
( sdtlseqdt0(sz10,xn)
| ~ spl4_116 ),
inference(avatar_component_clause,[],[f1317]) ).
fof(f2706,plain,
( spl4_154
| ~ spl4_4
| ~ spl4_9
| ~ spl4_111 ),
inference(avatar_split_clause,[],[f1621,f1214,f230,f205,f2703]) ).
fof(f2703,plain,
( spl4_154
<=> xm = sdtpldt0(sz10,sK3(sz10,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_154])]) ).
fof(f1214,plain,
( spl4_111
<=> sdtlseqdt0(sz10,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_111])]) ).
fof(f1621,plain,
( xm = sdtpldt0(sz10,sK3(sz10,xm))
| ~ spl4_4
| ~ spl4_9
| ~ spl4_111 ),
inference(subsumption_resolution,[],[f1620,f232]) ).
fof(f1620,plain,
( xm = sdtpldt0(sz10,sK3(sz10,xm))
| ~ aNaturalNumber0(sz10)
| ~ spl4_4
| ~ spl4_111 ),
inference(subsumption_resolution,[],[f1601,f207]) ).
fof(f1601,plain,
( xm = sdtpldt0(sz10,sK3(sz10,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz10)
| ~ spl4_111 ),
inference(resolution,[],[f172,f1216]) ).
fof(f1216,plain,
( sdtlseqdt0(sz10,xm)
| ~ spl4_111 ),
inference(avatar_component_clause,[],[f1214]) ).
fof(f2701,plain,
( spl4_153
| ~ spl4_3
| ~ spl4_9
| ~ spl4_97 ),
inference(avatar_split_clause,[],[f1619,f992,f230,f200,f2698]) ).
fof(f2698,plain,
( spl4_153
<=> xl = sdtpldt0(sz10,sK3(sz10,xl)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_153])]) ).
fof(f1619,plain,
( xl = sdtpldt0(sz10,sK3(sz10,xl))
| ~ spl4_3
| ~ spl4_9
| ~ spl4_97 ),
inference(subsumption_resolution,[],[f1618,f232]) ).
fof(f1618,plain,
( xl = sdtpldt0(sz10,sK3(sz10,xl))
| ~ aNaturalNumber0(sz10)
| ~ spl4_3
| ~ spl4_97 ),
inference(subsumption_resolution,[],[f1600,f202]) ).
fof(f1600,plain,
( xl = sdtpldt0(sz10,sK3(sz10,xl))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sz10)
| ~ spl4_97 ),
inference(resolution,[],[f172,f994]) ).
fof(f2683,plain,
( spl4_152
| ~ spl4_3
| ~ spl4_4
| ~ spl4_99 ),
inference(avatar_split_clause,[],[f1627,f1001,f205,f200,f2680]) ).
fof(f2680,plain,
( spl4_152
<=> xm = sdtpldt0(xl,sK3(xl,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_152])]) ).
fof(f1627,plain,
( xm = sdtpldt0(xl,sK3(xl,xm))
| ~ spl4_3
| ~ spl4_4
| ~ spl4_99 ),
inference(subsumption_resolution,[],[f1626,f202]) ).
fof(f1626,plain,
( xm = sdtpldt0(xl,sK3(xl,xm))
| ~ aNaturalNumber0(xl)
| ~ spl4_4
| ~ spl4_99 ),
inference(subsumption_resolution,[],[f1604,f207]) ).
fof(f1604,plain,
( xm = sdtpldt0(xl,sK3(xl,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ spl4_99 ),
inference(resolution,[],[f172,f1003]) ).
fof(f2654,plain,
( spl4_151
| ~ spl4_3
| ~ spl4_4
| ~ spl4_12 ),
inference(avatar_split_clause,[],[f1430,f245,f205,f200,f2651]) ).
fof(f2649,plain,
( ~ spl4_150
| ~ spl4_1
| ~ spl4_3
| ~ spl4_8
| ~ spl4_45
| spl4_119
| ~ spl4_149 ),
inference(avatar_split_clause,[],[f2644,f2530,f1582,f455,f225,f200,f190,f2646]) ).
fof(f2646,plain,
( spl4_150
<=> xl = xp ),
introduced(avatar_definition,[new_symbols(naming,[spl4_150])]) ).
fof(f2644,plain,
( xl != xp
| ~ spl4_1
| ~ spl4_3
| ~ spl4_8
| ~ spl4_45
| spl4_119
| ~ spl4_149 ),
inference(subsumption_resolution,[],[f2636,f202]) ).
fof(f2636,plain,
( xl != xp
| ~ aNaturalNumber0(xl)
| ~ spl4_1
| ~ spl4_8
| ~ spl4_45
| spl4_119
| ~ spl4_149 ),
inference(resolution,[],[f2543,f1583]) ).
fof(f1583,plain,
( ~ sdtlseqdt0(sz00,xl)
| spl4_119 ),
inference(avatar_component_clause,[],[f1582]) ).
fof(f2543,plain,
( ! [X0] :
( sdtlseqdt0(sz00,X0)
| xp != X0
| ~ aNaturalNumber0(X0) )
| ~ spl4_1
| ~ spl4_8
| ~ spl4_45
| ~ spl4_149 ),
inference(global_subsumption,[],[f2542,f145,f144,f155,f154,f163,f162,f161,f160,f166,f165,f164,f174,f175,f177,f176,f181,f180,f187,f179,f178,f188,f183,f117,f120,f123,f124,f125,f126,f129,f192,f132,f133,f227,f115,f116,f128,f134,f118,f119,f127,f131,f135,f114,f121,f122,f130,f136,f294,f137,f333,f138,f139,f367,f140,f406,f141,f440,f146,f525,f526,f527,f528,f529,f530,f457,f486,f147,f580,f581,f582,f583,f584,f585,f150,f289,f328,f362,f151,f401,f435,f481,f143,f148,f716,f718,f720,f724,f149,f779,f781,f783,f787,f168,f835,f836,f837,f838,f839,f840,f841,f842,f171,f882,f883,f884,f885,f886,f887,f888,f889,f152,f156,f157,f159,f167,f1298,f153,f1377,f169,f170,f1567,f172,f1613,f1612,f1611,f1610,f1614,f173,f1764,f1772,f158,f182,f184,f1975,f1974,f1973,f1977,f185,f2177,f2246,f186,f2447,f2516]) ).
fof(f2542,plain,
( ! [X0] :
( xp != X0
| sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK3(sz00,xp))
| ~ aNaturalNumber0(X0) )
| ~ spl4_8
| ~ spl4_149 ),
inference(subsumption_resolution,[],[f2537,f227]) ).
fof(f2537,plain,
( ! [X0] :
( xp != X0
| sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK3(sz00,xp))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz00) )
| ~ spl4_149 ),
inference(superposition,[],[f173,f2532]) ).
fof(f2533,plain,
( spl4_149
| ~ spl4_1
| ~ spl4_8
| ~ spl4_147 ),
inference(avatar_split_clause,[],[f2301,f2291,f225,f190,f2530]) ).
fof(f2291,plain,
( spl4_147
<=> sdtlseqdt0(sz00,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_147])]) ).
fof(f2301,plain,
( xp = sdtpldt0(sz00,sK3(sz00,xp))
| ~ spl4_1
| ~ spl4_8
| ~ spl4_147 ),
inference(subsumption_resolution,[],[f2300,f227]) ).
fof(f2300,plain,
( xp = sdtpldt0(sz00,sK3(sz00,xp))
| ~ aNaturalNumber0(sz00)
| ~ spl4_1
| ~ spl4_147 ),
inference(subsumption_resolution,[],[f2296,f192]) ).
fof(f2296,plain,
( xp = sdtpldt0(sz00,sK3(sz00,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ spl4_147 ),
inference(resolution,[],[f2293,f172]) ).
fof(f2293,plain,
( sdtlseqdt0(sz00,xp)
| ~ spl4_147 ),
inference(avatar_component_clause,[],[f2291]) ).
fof(f2309,plain,
( ~ spl4_148
| ~ spl4_1
| ~ spl4_8
| spl4_98
| ~ spl4_147 ),
inference(avatar_split_clause,[],[f2304,f2291,f997,f225,f190,f2306]) ).
fof(f2304,plain,
( ~ sdtlseqdt0(xp,sz00)
| ~ spl4_1
| ~ spl4_8
| spl4_98
| ~ spl4_147 ),
inference(subsumption_resolution,[],[f2303,f192]) ).
fof(f2303,plain,
( ~ sdtlseqdt0(xp,sz00)
| ~ aNaturalNumber0(xp)
| ~ spl4_8
| spl4_98
| ~ spl4_147 ),
inference(subsumption_resolution,[],[f2302,f227]) ).
fof(f2302,plain,
( ~ sdtlseqdt0(xp,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| spl4_98
| ~ spl4_147 ),
inference(subsumption_resolution,[],[f2297,f998]) ).
fof(f2297,plain,
( sz00 = xp
| ~ sdtlseqdt0(xp,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ spl4_147 ),
inference(resolution,[],[f2293,f167]) ).
fof(f2294,plain,
( spl4_147
| ~ spl4_1
| ~ spl4_2
| ~ spl4_8
| ~ spl4_69
| ~ spl4_100 ),
inference(avatar_split_clause,[],[f2289,f1030,f665,f225,f195,f190,f2291]) ).
fof(f1030,plain,
( spl4_100
<=> sdtlseqdt0(sz00,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_100])]) ).
fof(f2289,plain,
( sdtlseqdt0(sz00,xp)
| ~ spl4_1
| ~ spl4_2
| ~ spl4_8
| ~ spl4_69
| ~ spl4_100 ),
inference(subsumption_resolution,[],[f2279,f227]) ).
fof(f2279,plain,
( sdtlseqdt0(sz00,xp)
| ~ aNaturalNumber0(sz00)
| ~ spl4_1
| ~ spl4_2
| ~ spl4_69
| ~ spl4_100 ),
inference(resolution,[],[f2002,f1031]) ).
fof(f1031,plain,
( sdtlseqdt0(sz00,xq)
| ~ spl4_100 ),
inference(avatar_component_clause,[],[f1030]) ).
fof(f2269,plain,
( ~ spl4_145
| spl4_146
| ~ spl4_6
| ~ spl4_9
| ~ spl4_132 ),
inference(avatar_split_clause,[],[f1910,f1892,f230,f215,f2266,f2262]) ).
fof(f2266,plain,
( spl4_146
<=> sz10 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_146])]) ).
fof(f1910,plain,
( sz10 = sK1
| ~ sdtlseqdt0(sK1,sz10)
| ~ spl4_6
| ~ spl4_9
| ~ spl4_132 ),
inference(subsumption_resolution,[],[f1909,f217]) ).
fof(f1909,plain,
( sz10 = sK1
| ~ sdtlseqdt0(sK1,sz10)
| ~ aNaturalNumber0(sK1)
| ~ spl4_9
| ~ spl4_132 ),
inference(subsumption_resolution,[],[f1906,f232]) ).
fof(f1906,plain,
( sz10 = sK1
| ~ sdtlseqdt0(sK1,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK1)
| ~ spl4_132 ),
inference(resolution,[],[f1894,f167]) ).
fof(f2039,plain,
( ~ spl4_143
| spl4_144
| ~ spl4_7
| ~ spl4_9
| ~ spl4_130 ),
inference(avatar_split_clause,[],[f1886,f1877,f230,f220,f2036,f2032]) ).
fof(f2036,plain,
( spl4_144
<=> sz10 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_144])]) ).
fof(f1886,plain,
( sz10 = sK0
| ~ sdtlseqdt0(sK0,sz10)
| ~ spl4_7
| ~ spl4_9
| ~ spl4_130 ),
inference(subsumption_resolution,[],[f1885,f222]) ).
fof(f1885,plain,
( sz10 = sK0
| ~ sdtlseqdt0(sK0,sz10)
| ~ aNaturalNumber0(sK0)
| ~ spl4_9
| ~ spl4_130 ),
inference(subsumption_resolution,[],[f1882,f232]) ).
fof(f1882,plain,
( sz10 = sK0
| ~ sdtlseqdt0(sK0,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK0)
| ~ spl4_130 ),
inference(resolution,[],[f1879,f167]) ).
fof(f2025,plain,
( ~ spl4_141
| spl4_142
| ~ spl4_1
| ~ spl4_9
| ~ spl4_117 ),
inference(avatar_split_clause,[],[f1451,f1326,f230,f190,f2022,f2018]) ).
fof(f2018,plain,
( spl4_141
<=> sdtlseqdt0(xp,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_141])]) ).
fof(f2022,plain,
( spl4_142
<=> sz10 = xp ),
introduced(avatar_definition,[new_symbols(naming,[spl4_142])]) ).
fof(f1451,plain,
( sz10 = xp
| ~ sdtlseqdt0(xp,sz10)
| ~ spl4_1
| ~ spl4_9
| ~ spl4_117 ),
inference(subsumption_resolution,[],[f1450,f192]) ).
fof(f1450,plain,
( sz10 = xp
| ~ sdtlseqdt0(xp,sz10)
| ~ aNaturalNumber0(xp)
| ~ spl4_9
| ~ spl4_117 ),
inference(subsumption_resolution,[],[f1449,f232]) ).
fof(f1449,plain,
( sz10 = xp
| ~ sdtlseqdt0(xp,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ spl4_117 ),
inference(resolution,[],[f1328,f167]) ).
fof(f2011,plain,
( ~ spl4_139
| spl4_140
| ~ spl4_4
| ~ spl4_9
| ~ spl4_111 ),
inference(avatar_split_clause,[],[f1447,f1214,f230,f205,f2008,f2004]) ).
fof(f2008,plain,
( spl4_140
<=> sz10 = xm ),
introduced(avatar_definition,[new_symbols(naming,[spl4_140])]) ).
fof(f1447,plain,
( sz10 = xm
| ~ sdtlseqdt0(xm,sz10)
| ~ spl4_4
| ~ spl4_9
| ~ spl4_111 ),
inference(subsumption_resolution,[],[f1446,f207]) ).
fof(f1446,plain,
( sz10 = xm
| ~ sdtlseqdt0(xm,sz10)
| ~ aNaturalNumber0(xm)
| ~ spl4_9
| ~ spl4_111 ),
inference(subsumption_resolution,[],[f1445,f232]) ).
fof(f1445,plain,
( sz10 = xm
| ~ sdtlseqdt0(xm,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ spl4_111 ),
inference(resolution,[],[f1216,f167]) ).
fof(f1947,plain,
( ~ spl4_137
| spl4_138
| ~ spl4_5
| ~ spl4_9
| ~ spl4_116 ),
inference(avatar_split_clause,[],[f1323,f1317,f230,f210,f1944,f1940]) ).
fof(f1944,plain,
( spl4_138
<=> sz10 = xn ),
introduced(avatar_definition,[new_symbols(naming,[spl4_138])]) ).
fof(f1323,plain,
( sz10 = xn
| ~ sdtlseqdt0(xn,sz10)
| ~ spl4_5
| ~ spl4_9
| ~ spl4_116 ),
inference(subsumption_resolution,[],[f1322,f212]) ).
fof(f1322,plain,
( sz10 = xn
| ~ sdtlseqdt0(xn,sz10)
| ~ aNaturalNumber0(xn)
| ~ spl4_9
| ~ spl4_116 ),
inference(subsumption_resolution,[],[f1321,f232]) ).
fof(f1321,plain,
( sz10 = xn
| ~ sdtlseqdt0(xn,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ spl4_116 ),
inference(resolution,[],[f1319,f167]) ).
fof(f1933,plain,
( ~ spl4_135
| spl4_136
| ~ spl4_3
| ~ spl4_9
| ~ spl4_97 ),
inference(avatar_split_clause,[],[f1304,f992,f230,f200,f1930,f1926]) ).
fof(f1926,plain,
( spl4_135
<=> sdtlseqdt0(xl,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_135])]) ).
fof(f1304,plain,
( sz10 = xl
| ~ sdtlseqdt0(xl,sz10)
| ~ spl4_3
| ~ spl4_9
| ~ spl4_97 ),
inference(subsumption_resolution,[],[f1303,f202]) ).
fof(f1303,plain,
( sz10 = xl
| ~ sdtlseqdt0(xl,sz10)
| ~ aNaturalNumber0(xl)
| ~ spl4_9
| ~ spl4_97 ),
inference(subsumption_resolution,[],[f1287,f232]) ).
fof(f1287,plain,
( sz10 = xl
| ~ sdtlseqdt0(xl,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xl)
| ~ spl4_97 ),
inference(resolution,[],[f167,f994]) ).
fof(f1919,plain,
( ~ spl4_133
| spl4_134
| ~ spl4_3
| ~ spl4_4
| ~ spl4_99 ),
inference(avatar_split_clause,[],[f1308,f1001,f205,f200,f1916,f1912]) ).
fof(f1912,plain,
( spl4_133
<=> sdtlseqdt0(xm,xl) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_133])]) ).
fof(f1308,plain,
( xl = xm
| ~ sdtlseqdt0(xm,xl)
| ~ spl4_3
| ~ spl4_4
| ~ spl4_99 ),
inference(subsumption_resolution,[],[f1307,f207]) ).
fof(f1307,plain,
( xl = xm
| ~ sdtlseqdt0(xm,xl)
| ~ aNaturalNumber0(xm)
| ~ spl4_3
| ~ spl4_99 ),
inference(subsumption_resolution,[],[f1289,f202]) ).
fof(f1289,plain,
( xl = xm
| ~ sdtlseqdt0(xm,xl)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xm)
| ~ spl4_99 ),
inference(resolution,[],[f167,f1003]) ).
fof(f1895,plain,
( spl4_131
| spl4_132
| ~ spl4_6
| ~ spl4_9
| ~ spl4_63 ),
inference(avatar_split_clause,[],[f982,f576,f230,f215,f1892,f1888]) ).
fof(f982,plain,
( sdtlseqdt0(sz10,sK1)
| sz00 = sK1
| ~ spl4_6
| ~ spl4_9
| ~ spl4_63 ),
inference(subsumption_resolution,[],[f981,f217]) ).
fof(f981,plain,
( sdtlseqdt0(sz10,sK1)
| sz00 = sK1
| ~ aNaturalNumber0(sK1)
| ~ spl4_9
| ~ spl4_63 ),
inference(subsumption_resolution,[],[f947,f232]) ).
fof(f947,plain,
( sdtlseqdt0(sz10,sK1)
| sz00 = sK1
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK1)
| ~ spl4_63 ),
inference(superposition,[],[f152,f578]) ).
fof(f1880,plain,
( spl4_129
| spl4_130
| ~ spl4_7
| ~ spl4_9
| ~ spl4_62 ),
inference(avatar_split_clause,[],[f980,f571,f230,f220,f1877,f1873]) ).
fof(f980,plain,
( sdtlseqdt0(sz10,sK0)
| sz00 = sK0
| ~ spl4_7
| ~ spl4_9
| ~ spl4_62 ),
inference(subsumption_resolution,[],[f979,f222]) ).
fof(f979,plain,
( sdtlseqdt0(sz10,sK0)
| sz00 = sK0
| ~ aNaturalNumber0(sK0)
| ~ spl4_9
| ~ spl4_62 ),
inference(subsumption_resolution,[],[f946,f232]) ).
fof(f946,plain,
( sdtlseqdt0(sz10,sK0)
| sz00 = sK0
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK0)
| ~ spl4_62 ),
inference(superposition,[],[f152,f573]) ).
fof(f1866,plain,
( spl4_128
| ~ spl4_2
| ~ spl4_9
| ~ spl4_124 ),
inference(avatar_split_clause,[],[f1793,f1786,f230,f195,f1863]) ).
fof(f1863,plain,
( spl4_128
<=> xq = sdtpldt0(sz10,sK3(sz10,xq)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_128])]) ).
fof(f1786,plain,
( spl4_124
<=> sdtlseqdt0(sz10,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_124])]) ).
fof(f1793,plain,
( xq = sdtpldt0(sz10,sK3(sz10,xq))
| ~ spl4_2
| ~ spl4_9
| ~ spl4_124 ),
inference(subsumption_resolution,[],[f1792,f232]) ).
fof(f1792,plain,
( xq = sdtpldt0(sz10,sK3(sz10,xq))
| ~ aNaturalNumber0(sz10)
| ~ spl4_2
| ~ spl4_124 ),
inference(subsumption_resolution,[],[f1790,f197]) ).
fof(f1790,plain,
( xq = sdtpldt0(sz10,sK3(sz10,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz10)
| ~ spl4_124 ),
inference(resolution,[],[f1788,f172]) ).
fof(f1788,plain,
( sdtlseqdt0(sz10,xq)
| ~ spl4_124 ),
inference(avatar_component_clause,[],[f1786]) ).
fof(f1861,plain,
( ~ spl4_127
| ~ spl4_2
| ~ spl4_3
| spl4_11
| ~ spl4_18
| spl4_102 ),
inference(avatar_split_clause,[],[f1852,f1049,f275,f240,f200,f195,f1858]) ).
fof(f1852,plain,
( sz00 != sdtpldt0(xm,xn)
| ~ spl4_2
| ~ spl4_3
| spl4_11
| ~ spl4_18
| spl4_102 ),
inference(subsumption_resolution,[],[f1851,f202]) ).
fof(f1851,plain,
( sz00 != sdtpldt0(xm,xn)
| ~ aNaturalNumber0(xl)
| ~ spl4_2
| spl4_11
| ~ spl4_18
| spl4_102 ),
inference(subsumption_resolution,[],[f1850,f197]) ).
fof(f1850,plain,
( sz00 != sdtpldt0(xm,xn)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl)
| spl4_11
| ~ spl4_18
| spl4_102 ),
inference(subsumption_resolution,[],[f1849,f1051]) ).
fof(f1849,plain,
( sz00 != sdtpldt0(xm,xn)
| sz00 = xq
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl)
| spl4_11
| ~ spl4_18 ),
inference(subsumption_resolution,[],[f1833,f242]) ).
fof(f1833,plain,
( sz00 != sdtpldt0(xm,xn)
| sz00 = xl
| sz00 = xq
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl)
| ~ spl4_18 ),
inference(superposition,[],[f158,f277]) ).
fof(f1804,plain,
( ~ spl4_125
| spl4_126
| ~ spl4_2
| ~ spl4_9
| ~ spl4_124 ),
inference(avatar_split_clause,[],[f1795,f1786,f230,f195,f1801,f1797]) ).
fof(f1797,plain,
( spl4_125
<=> sdtlseqdt0(xq,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_125])]) ).
fof(f1801,plain,
( spl4_126
<=> sz10 = xq ),
introduced(avatar_definition,[new_symbols(naming,[spl4_126])]) ).
fof(f1795,plain,
( sz10 = xq
| ~ sdtlseqdt0(xq,sz10)
| ~ spl4_2
| ~ spl4_9
| ~ spl4_124 ),
inference(subsumption_resolution,[],[f1794,f197]) ).
fof(f1794,plain,
( sz10 = xq
| ~ sdtlseqdt0(xq,sz10)
| ~ aNaturalNumber0(xq)
| ~ spl4_9
| ~ spl4_124 ),
inference(subsumption_resolution,[],[f1791,f232]) ).
fof(f1791,plain,
( sz10 = xq
| ~ sdtlseqdt0(xq,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xq)
| ~ spl4_124 ),
inference(resolution,[],[f1788,f167]) ).
fof(f1789,plain,
( spl4_124
| ~ spl4_2
| ~ spl4_9
| ~ spl4_61
| spl4_102 ),
inference(avatar_split_clause,[],[f1784,f1049,f566,f230,f195,f1786]) ).
fof(f1784,plain,
( sdtlseqdt0(sz10,xq)
| ~ spl4_2
| ~ spl4_9
| ~ spl4_61
| spl4_102 ),
inference(subsumption_resolution,[],[f978,f1051]) ).
fof(f978,plain,
( sdtlseqdt0(sz10,xq)
| sz00 = xq
| ~ spl4_2
| ~ spl4_9
| ~ spl4_61 ),
inference(subsumption_resolution,[],[f977,f197]) ).
fof(f977,plain,
( sdtlseqdt0(sz10,xq)
| sz00 = xq
| ~ aNaturalNumber0(xq)
| ~ spl4_9
| ~ spl4_61 ),
inference(subsumption_resolution,[],[f945,f232]) ).
fof(f945,plain,
( sdtlseqdt0(sz10,xq)
| sz00 = xq
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xq)
| ~ spl4_61 ),
inference(superposition,[],[f152,f568]) ).
fof(f1777,plain,
( spl4_123
| ~ spl4_2
| ~ spl4_8
| ~ spl4_100 ),
inference(avatar_split_clause,[],[f1676,f1030,f225,f195,f1774]) ).
fof(f1676,plain,
( xq = sdtpldt0(sz00,sK3(sz00,xq))
| ~ spl4_2
| ~ spl4_8
| ~ spl4_100 ),
inference(subsumption_resolution,[],[f1675,f227]) ).
fof(f1675,plain,
( xq = sdtpldt0(sz00,sK3(sz00,xq))
| ~ aNaturalNumber0(sz00)
| ~ spl4_2
| ~ spl4_100 ),
inference(subsumption_resolution,[],[f1673,f197]) ).
fof(f1673,plain,
( xq = sdtpldt0(sz00,sK3(sz00,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ spl4_100 ),
inference(resolution,[],[f1031,f172]) ).
fof(f1670,plain,
( ~ spl4_2
| ~ spl4_8
| ~ spl4_101
| spl4_122 ),
inference(avatar_contradiction_clause,[],[f1669]) ).
fof(f1669,plain,
( $false
| ~ spl4_2
| ~ spl4_8
| ~ spl4_101
| spl4_122 ),
inference(subsumption_resolution,[],[f1668,f197]) ).
fof(f1668,plain,
( ~ aNaturalNumber0(xq)
| ~ spl4_8
| ~ spl4_101
| spl4_122 ),
inference(subsumption_resolution,[],[f1667,f227]) ).
fof(f1667,plain,
( ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xq)
| ~ spl4_101
| spl4_122 ),
inference(subsumption_resolution,[],[f1666,f1037]) ).
fof(f1037,plain,
( sdtlseqdt0(xq,sz00)
| ~ spl4_101 ),
inference(avatar_component_clause,[],[f1035]) ).
fof(f1666,plain,
( ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xq)
| spl4_122 ),
inference(resolution,[],[f1664,f171]) ).
fof(f1664,plain,
( ~ aNaturalNumber0(sK3(xq,sz00))
| spl4_122 ),
inference(avatar_component_clause,[],[f1662]) ).
fof(f1662,plain,
( spl4_122
<=> aNaturalNumber0(sK3(xq,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_122])]) ).
fof(f1665,plain,
( ~ spl4_122
| ~ spl4_2
| spl4_102
| ~ spl4_121 ),
inference(avatar_split_clause,[],[f1660,f1643,f1049,f195,f1662]) ).
fof(f1643,plain,
( spl4_121
<=> sz00 = sdtpldt0(xq,sK3(xq,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_121])]) ).
fof(f1660,plain,
( ~ aNaturalNumber0(sK3(xq,sz00))
| ~ spl4_2
| spl4_102
| ~ spl4_121 ),
inference(subsumption_resolution,[],[f1659,f197]) ).
fof(f1659,plain,
( ~ aNaturalNumber0(sK3(xq,sz00))
| ~ aNaturalNumber0(xq)
| spl4_102
| ~ spl4_121 ),
inference(subsumption_resolution,[],[f1656,f1051]) ).
fof(f1656,plain,
( sz00 = xq
| ~ aNaturalNumber0(sK3(xq,sz00))
| ~ aNaturalNumber0(xq)
| ~ spl4_121 ),
inference(trivial_inequality_removal,[],[f1654]) ).
fof(f1654,plain,
( sz00 != sz00
| sz00 = xq
| ~ aNaturalNumber0(sK3(xq,sz00))
| ~ aNaturalNumber0(xq)
| ~ spl4_121 ),
inference(superposition,[],[f156,f1645]) ).
fof(f1645,plain,
( sz00 = sdtpldt0(xq,sK3(xq,sz00))
| ~ spl4_121 ),
inference(avatar_component_clause,[],[f1643]) ).
fof(f1648,plain,
( ~ spl4_2
| ~ spl4_8
| spl4_100
| spl4_101 ),
inference(avatar_contradiction_clause,[],[f1647]) ).
fof(f1647,plain,
( $false
| ~ spl4_2
| ~ spl4_8
| spl4_100
| spl4_101 ),
inference(global_subsumption,[],[f145,f144,f155,f154,f158,f163,f162,f161,f160,f166,f165,f164,f173,f174,f175,f177,f176,f181,f180,f187,f179,f178,f188,f182,f183,f184,f186,f185,f117,f120,f123,f124,f125,f126,f129,f197,f132,f133,f227,f115,f116,f128,f134,f118,f119,f127,f131,f135,f114,f121,f122,f130,f136,f295,f137,f138,f334,f139,f368,f140,f407,f141,f441,f146,f525,f526,f527,f528,f529,f530,f487,f147,f580,f581,f582,f583,f584,f585,f150,f289,f328,f362,f151,f401,f435,f481,f143,f148,f716,f718,f720,f725,f149,f779,f781,f783,f788,f168,f835,f836,f837,f838,f839,f840,f841,f842,f171,f882,f883,f884,f885,f886,f887,f888,f889,f152,f1032,f1047,f156,f157,f159,f167,f1298,f153,f1377,f169,f170,f1567,f172,f1613,f1612,f1611,f1610,f1614,f1045,f1043,f1036]) ).
fof(f1043,plain,
( sdtlseqdt0(xq,sz00)
| ~ spl4_2
| ~ spl4_8
| spl4_100 ),
inference(subsumption_resolution,[],[f1042,f227]) ).
fof(f1042,plain,
( sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sz00)
| ~ spl4_2
| spl4_100 ),
inference(subsumption_resolution,[],[f1039,f197]) ).
fof(f1039,plain,
( sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| spl4_100 ),
inference(resolution,[],[f1032,f151]) ).
fof(f1045,plain,
( sdtlseqdt0(xq,sz00)
| ~ spl4_2
| ~ spl4_8
| spl4_100 ),
inference(subsumption_resolution,[],[f1044,f197]) ).
fof(f1044,plain,
( sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(xq)
| ~ spl4_8
| spl4_100 ),
inference(subsumption_resolution,[],[f1040,f227]) ).
fof(f1040,plain,
( sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xq)
| spl4_100 ),
inference(resolution,[],[f1032,f151]) ).
fof(f1047,plain,
( sz00 != xq
| ~ spl4_2
| ~ spl4_8
| spl4_100 ),
inference(subsumption_resolution,[],[f1046,f227]) ).
fof(f1046,plain,
( sz00 != xq
| ~ aNaturalNumber0(sz00)
| ~ spl4_2
| spl4_100 ),
inference(subsumption_resolution,[],[f1041,f197]) ).
fof(f1041,plain,
( sz00 != xq
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| spl4_100 ),
inference(resolution,[],[f1032,f150]) ).
fof(f1032,plain,
( ~ sdtlseqdt0(sz00,xq)
| spl4_100 ),
inference(avatar_component_clause,[],[f1030]) ).
fof(f1646,plain,
( spl4_121
| ~ spl4_2
| ~ spl4_8
| ~ spl4_101 ),
inference(avatar_split_clause,[],[f1633,f1035,f225,f195,f1643]) ).
fof(f1633,plain,
( sz00 = sdtpldt0(xq,sK3(xq,sz00))
| ~ spl4_2
| ~ spl4_8
| ~ spl4_101 ),
inference(subsumption_resolution,[],[f1632,f197]) ).
fof(f1632,plain,
( sz00 = sdtpldt0(xq,sK3(xq,sz00))
| ~ aNaturalNumber0(xq)
| ~ spl4_8
| ~ spl4_101 ),
inference(subsumption_resolution,[],[f1607,f227]) ).
fof(f1607,plain,
( sz00 = sdtpldt0(xq,sK3(xq,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xq)
| ~ spl4_101 ),
inference(resolution,[],[f172,f1037]) ).
fof(f1638,plain,
( spl4_120
| ~ spl4_1
| ~ spl4_2
| ~ spl4_69 ),
inference(avatar_split_clause,[],[f1631,f665,f195,f190,f1635]) ).
fof(f1635,plain,
( spl4_120
<=> xp = sdtpldt0(xq,sK3(xq,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_120])]) ).
fof(f1585,plain,
( spl4_119
| ~ spl4_3
| ~ spl4_8
| spl4_118 ),
inference(avatar_split_clause,[],[f1578,f1438,f225,f200,f1582]) ).
fof(f1569,plain,
( spl4_114
| ~ spl4_8
| ~ spl4_9
| spl4_112 ),
inference(avatar_split_clause,[],[f1268,f1257,f230,f225,f1276]) ).
fof(f1268,plain,
( sdtlseqdt0(sz00,sz10)
| ~ spl4_8
| ~ spl4_9
| spl4_112 ),
inference(subsumption_resolution,[],[f1267,f227]) ).
fof(f1267,plain,
( sdtlseqdt0(sz00,sz10)
| ~ aNaturalNumber0(sz00)
| ~ spl4_9
| spl4_112 ),
inference(subsumption_resolution,[],[f1263,f232]) ).
fof(f1263,plain,
( sdtlseqdt0(sz00,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| spl4_112 ),
inference(resolution,[],[f1259,f151]) ).
fof(f1568,plain,
( spl4_114
| ~ spl4_8
| ~ spl4_9
| spl4_112 ),
inference(avatar_split_clause,[],[f1266,f1257,f230,f225,f1276]) ).
fof(f1266,plain,
( sdtlseqdt0(sz00,sz10)
| ~ spl4_8
| ~ spl4_9
| spl4_112 ),
inference(subsumption_resolution,[],[f1265,f232]) ).
fof(f1265,plain,
( sdtlseqdt0(sz00,sz10)
| ~ aNaturalNumber0(sz10)
| ~ spl4_8
| spl4_112 ),
inference(subsumption_resolution,[],[f1262,f227]) ).
fof(f1262,plain,
( sdtlseqdt0(sz00,sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz10)
| spl4_112 ),
inference(resolution,[],[f1259,f151]) ).
fof(f1448,plain,
( spl4_117
| ~ spl4_1
| ~ spl4_9
| ~ spl4_60
| spl4_98 ),
inference(avatar_split_clause,[],[f1324,f997,f561,f230,f190,f1326]) ).
fof(f1324,plain,
( sdtlseqdt0(sz10,xp)
| ~ spl4_1
| ~ spl4_9
| ~ spl4_60
| spl4_98 ),
inference(subsumption_resolution,[],[f976,f998]) ).
fof(f976,plain,
( sdtlseqdt0(sz10,xp)
| sz00 = xp
| ~ spl4_1
| ~ spl4_9
| ~ spl4_60 ),
inference(subsumption_resolution,[],[f975,f192]) ).
fof(f975,plain,
( sdtlseqdt0(sz10,xp)
| sz00 = xp
| ~ aNaturalNumber0(xp)
| ~ spl4_9
| ~ spl4_60 ),
inference(subsumption_resolution,[],[f944,f232]) ).
fof(f944,plain,
( sdtlseqdt0(sz10,xp)
| sz00 = xp
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ spl4_60 ),
inference(superposition,[],[f152,f563]) ).
fof(f1444,plain,
( spl4_111
| ~ spl4_4
| ~ spl4_9
| ~ spl4_58
| spl4_106 ),
inference(avatar_split_clause,[],[f1212,f1148,f551,f230,f205,f1214]) ).
fof(f1212,plain,
( sdtlseqdt0(sz10,xm)
| ~ spl4_4
| ~ spl4_9
| ~ spl4_58
| spl4_106 ),
inference(subsumption_resolution,[],[f972,f1149]) ).
fof(f972,plain,
( sdtlseqdt0(sz10,xm)
| sz00 = xm
| ~ spl4_4
| ~ spl4_9
| ~ spl4_58 ),
inference(subsumption_resolution,[],[f971,f207]) ).
fof(f971,plain,
( sdtlseqdt0(sz10,xm)
| sz00 = xm
| ~ aNaturalNumber0(xm)
| ~ spl4_9
| ~ spl4_58 ),
inference(subsumption_resolution,[],[f942,f232]) ).
fof(f942,plain,
( sdtlseqdt0(sz10,xm)
| sz00 = xm
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ spl4_58 ),
inference(superposition,[],[f152,f553]) ).
fof(f1441,plain,
( spl4_118
| ~ spl4_99
| ~ spl4_106 ),
inference(avatar_split_clause,[],[f1240,f1148,f1001,f1438]) ).
fof(f1240,plain,
( sdtlseqdt0(xl,sz00)
| ~ spl4_99
| ~ spl4_106 ),
inference(superposition,[],[f1003,f1150]) ).
fof(f1150,plain,
( sz00 = xm
| ~ spl4_106 ),
inference(avatar_component_clause,[],[f1148]) ).
fof(f1436,plain,
( spl4_113
| ~ spl4_12
| ~ spl4_106 ),
inference(avatar_split_clause,[],[f1219,f1148,f245,f1270]) ).
fof(f1219,plain,
( doDivides0(xl,sz00)
| ~ spl4_12
| ~ spl4_106 ),
inference(superposition,[],[f247,f1150]) ).
fof(f1417,plain,
( ~ spl4_112
| ~ spl4_106
| spl4_111 ),
inference(avatar_split_clause,[],[f1255,f1214,f1148,f1257]) ).
fof(f1255,plain,
( ~ sdtlseqdt0(sz10,sz00)
| ~ spl4_106
| spl4_111 ),
inference(forward_demodulation,[],[f1215,f1150]) ).
fof(f1215,plain,
( ~ sdtlseqdt0(sz10,xm)
| spl4_111 ),
inference(avatar_component_clause,[],[f1214]) ).
fof(f1376,plain,
( spl4_106
| ~ spl4_14
| ~ spl4_21
| ~ spl4_98 ),
inference(avatar_split_clause,[],[f1022,f997,f299,f255,f1148]) ).
fof(f1022,plain,
( sz00 = xm
| ~ spl4_14
| ~ spl4_21
| ~ spl4_98 ),
inference(forward_demodulation,[],[f1008,f301]) ).
fof(f1008,plain,
( xm = sdtasdt0(xl,sz00)
| ~ spl4_14
| ~ spl4_98 ),
inference(superposition,[],[f257,f999]) ).
fof(f999,plain,
( sz00 = xp
| ~ spl4_98 ),
inference(avatar_component_clause,[],[f997]) ).
fof(f1329,plain,
( spl4_117
| ~ spl4_1
| ~ spl4_9
| ~ spl4_60
| spl4_98 ),
inference(avatar_split_clause,[],[f1324,f997,f561,f230,f190,f1326]) ).
fof(f1320,plain,
( spl4_115
| spl4_116
| ~ spl4_5
| ~ spl4_9
| ~ spl4_59 ),
inference(avatar_split_clause,[],[f974,f556,f230,f210,f1317,f1313]) ).
fof(f974,plain,
( sdtlseqdt0(sz10,xn)
| sz00 = xn
| ~ spl4_5
| ~ spl4_9
| ~ spl4_59 ),
inference(subsumption_resolution,[],[f973,f212]) ).
fof(f973,plain,
( sdtlseqdt0(sz10,xn)
| sz00 = xn
| ~ aNaturalNumber0(xn)
| ~ spl4_9
| ~ spl4_59 ),
inference(subsumption_resolution,[],[f943,f232]) ).
fof(f943,plain,
( sdtlseqdt0(sz10,xn)
| sz00 = xn
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ spl4_59 ),
inference(superposition,[],[f152,f558]) ).
fof(f1279,plain,
( spl4_114
| ~ spl4_8
| ~ spl4_9
| spl4_112 ),
inference(avatar_split_clause,[],[f1266,f1257,f230,f225,f1276]) ).
fof(f1274,plain,
( spl4_111
| ~ spl4_4
| ~ spl4_9
| ~ spl4_58
| spl4_106 ),
inference(avatar_split_clause,[],[f1212,f1148,f551,f230,f205,f1214]) ).
fof(f1273,plain,
( spl4_113
| ~ spl4_12
| ~ spl4_106 ),
inference(avatar_split_clause,[],[f1219,f1148,f245,f1270]) ).
fof(f1260,plain,
( ~ spl4_112
| ~ spl4_106
| spl4_111 ),
inference(avatar_split_clause,[],[f1255,f1214,f1148,f1257]) ).
fof(f1217,plain,
( spl4_111
| ~ spl4_4
| ~ spl4_9
| ~ spl4_58
| spl4_106 ),
inference(avatar_split_clause,[],[f1212,f1148,f551,f230,f205,f1214]) ).
fof(f1211,plain,
( ~ spl4_110
| ~ spl4_2
| ~ spl4_5
| ~ spl4_93
| spl4_102 ),
inference(avatar_split_clause,[],[f1120,f1049,f904,f210,f195,f1208]) ).
fof(f1208,plain,
( spl4_110
<=> sz00 = sdtpldt0(xn,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_110])]) ).
fof(f1120,plain,
( sz00 != sdtpldt0(xn,xq)
| ~ spl4_2
| ~ spl4_5
| ~ spl4_93
| spl4_102 ),
inference(global_subsumption,[],[f145,f144,f155,f154,f153,f157,f158,f159,f163,f162,f161,f160,f166,f165,f164,f167,f170,f169,f173,f172,f174,f175,f177,f176,f181,f180,f187,f179,f178,f188,f182,f183,f184,f186,f185,f117,f120,f123,f124,f125,f126,f129,f197,f212,f132,f133,f115,f116,f128,f134,f118,f119,f127,f131,f135,f114,f121,f122,f130,f136,f293,f295,f137,f332,f138,f334,f366,f139,f368,f140,f405,f407,f141,f439,f441,f146,f525,f526,f527,f528,f529,f530,f485,f487,f147,f580,f581,f582,f583,f584,f585,f150,f151,f143,f148,f718,f720,f725,f149,f781,f783,f786,f788,f168,f835,f836,f837,f838,f839,f840,f841,f842,f723,f870,f872,f880,f171,f882,f883,f884,f885,f886,f887,f888,f889,f892,f877,f906,f152,f1051,f156,f1119]) ).
fof(f1119,plain,
( sz00 != sdtpldt0(xn,xq)
| sz00 = xq
| ~ spl4_2
| ~ spl4_5
| ~ spl4_93 ),
inference(subsumption_resolution,[],[f1118,f197]) ).
fof(f1118,plain,
( sz00 != sdtpldt0(xn,xq)
| sz00 = xq
| ~ aNaturalNumber0(xq)
| ~ spl4_5
| ~ spl4_93 ),
inference(subsumption_resolution,[],[f1081,f212]) ).
fof(f1081,plain,
( sz00 != sdtpldt0(xn,xq)
| sz00 = xq
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xq)
| ~ spl4_93 ),
inference(superposition,[],[f156,f906]) ).
fof(f877,plain,
( sdtpldt0(xq,xn) = sdtpldt0(xn,xq)
| ~ spl4_2
| ~ spl4_5 ),
inference(resolution,[],[f723,f197]) ).
fof(f892,plain,
( ! [X22,X23] :
( ~ sdtlseqdt0(X22,X23)
| ~ aNaturalNumber0(X23)
| ~ aNaturalNumber0(X22)
| sdtpldt0(sK3(X22,X23),xn) = sdtpldt0(xn,sK3(X22,X23)) )
| ~ spl4_5 ),
inference(resolution,[],[f171,f723]) ).
fof(f880,plain,
( ! [X4,X5] :
( sdtpldt0(sK2(X4,X5),xn) = sdtpldt0(xn,sK2(X4,X5))
| ~ doDivides0(X4,X5)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X4) )
| ~ spl4_5 ),
inference(resolution,[],[f723,f168]) ).
fof(f872,plain,
( ! [X2,X3] :
( sdtpldt0(sdtasdt0(X2,X3),xn) = sdtpldt0(xn,sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) )
| ~ spl4_5 ),
inference(resolution,[],[f723,f147]) ).
fof(f870,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xn) = sdtpldt0(xn,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl4_5 ),
inference(resolution,[],[f723,f146]) ).
fof(f723,plain,
( ! [X11] :
( ~ aNaturalNumber0(X11)
| sdtpldt0(X11,xn) = sdtpldt0(xn,X11) )
| ~ spl4_5 ),
inference(resolution,[],[f148,f212]) ).
fof(f485,plain,
( xn = sdtasdt0(sz10,xn)
| ~ spl4_5 ),
inference(resolution,[],[f141,f212]) ).
fof(f439,plain,
( xn = sdtasdt0(xn,sz10)
| ~ spl4_5 ),
inference(resolution,[],[f140,f212]) ).
fof(f405,plain,
( xn = sdtpldt0(sz00,xn)
| ~ spl4_5 ),
inference(resolution,[],[f139,f212]) ).
fof(f366,plain,
( xn = sdtpldt0(xn,sz00)
| ~ spl4_5 ),
inference(resolution,[],[f138,f212]) ).
fof(f332,plain,
( sz00 = sdtasdt0(sz00,xn)
| ~ spl4_5 ),
inference(resolution,[],[f137,f212]) ).
fof(f293,plain,
( sz00 = sdtasdt0(xn,sz00)
| ~ spl4_5 ),
inference(resolution,[],[f136,f212]) ).
fof(f1206,plain,
( ~ spl4_109
| ~ spl4_2
| ~ spl4_4
| ~ spl4_87
| spl4_102 ),
inference(avatar_split_clause,[],[f1112,f1049,f831,f205,f195,f1203]) ).
fof(f1203,plain,
( spl4_109
<=> sz00 = sdtpldt0(xm,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_109])]) ).
fof(f1112,plain,
( sz00 != sdtpldt0(xm,xq)
| ~ spl4_2
| ~ spl4_4
| ~ spl4_87
| spl4_102 ),
inference(global_subsumption,[],[f145,f144,f155,f154,f153,f157,f158,f159,f163,f162,f161,f160,f166,f165,f164,f167,f170,f169,f173,f172,f174,f175,f177,f176,f181,f180,f187,f179,f178,f188,f182,f183,f184,f186,f185,f117,f120,f123,f124,f125,f126,f129,f197,f207,f132,f133,f115,f116,f128,f134,f118,f119,f127,f131,f135,f114,f121,f122,f130,f136,f292,f295,f137,f331,f138,f334,f365,f139,f368,f140,f404,f407,f141,f438,f441,f146,f525,f526,f527,f528,f529,f530,f484,f487,f147,f580,f581,f582,f583,f584,f585,f150,f151,f143,f148,f718,f720,f725,f149,f781,f783,f785,f788,f722,f804,f806,f811,f168,f835,f836,f837,f838,f839,f840,f841,f842,f844,f833,f171,f882,f883,f884,f885,f886,f887,f888,f889,f891,f152,f1051,f156,f1111]) ).
fof(f1111,plain,
( sz00 != sdtpldt0(xm,xq)
| sz00 = xq
| ~ spl4_2
| ~ spl4_4
| ~ spl4_87 ),
inference(subsumption_resolution,[],[f1110,f197]) ).
fof(f1110,plain,
( sz00 != sdtpldt0(xm,xq)
| sz00 = xq
| ~ aNaturalNumber0(xq)
| ~ spl4_4
| ~ spl4_87 ),
inference(subsumption_resolution,[],[f1076,f207]) ).
fof(f1076,plain,
( sz00 != sdtpldt0(xm,xq)
| sz00 = xq
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xq)
| ~ spl4_87 ),
inference(superposition,[],[f156,f833]) ).
fof(f1201,plain,
( ~ spl4_108
| ~ spl4_2
| ~ spl4_3
| ~ spl4_80
| spl4_102 ),
inference(avatar_split_clause,[],[f1102,f1049,f762,f200,f195,f1198]) ).
fof(f1198,plain,
( spl4_108
<=> sz00 = sdtpldt0(xl,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_108])]) ).
fof(f1102,plain,
( sz00 != sdtpldt0(xl,xq)
| ~ spl4_2
| ~ spl4_3
| ~ spl4_80
| spl4_102 ),
inference(global_subsumption,[],[f145,f144,f155,f154,f153,f157,f158,f159,f163,f162,f161,f160,f166,f165,f164,f167,f170,f169,f173,f172,f174,f175,f177,f176,f181,f180,f187,f179,f178,f188,f182,f183,f184,f186,f185,f117,f120,f123,f124,f125,f126,f129,f197,f202,f132,f133,f115,f116,f128,f134,f118,f119,f127,f131,f135,f114,f121,f122,f130,f136,f291,f295,f137,f330,f138,f334,f364,f139,f368,f403,f140,f407,f141,f437,f441,f146,f525,f526,f527,f528,f529,f530,f483,f487,f147,f580,f581,f582,f583,f584,f585,f150,f151,f143,f148,f718,f720,f725,f721,f730,f732,f737,f149,f781,f783,f784,f788,f764,f168,f835,f836,f837,f838,f839,f840,f841,f842,f843,f171,f882,f883,f884,f885,f886,f887,f888,f889,f890,f152,f1051,f156,f1101]) ).
fof(f1101,plain,
( sz00 != sdtpldt0(xl,xq)
| sz00 = xq
| ~ spl4_2
| ~ spl4_3
| ~ spl4_80 ),
inference(subsumption_resolution,[],[f1100,f197]) ).
fof(f1100,plain,
( sz00 != sdtpldt0(xl,xq)
| sz00 = xq
| ~ aNaturalNumber0(xq)
| ~ spl4_3
| ~ spl4_80 ),
inference(subsumption_resolution,[],[f1070,f202]) ).
fof(f1070,plain,
( sz00 != sdtpldt0(xl,xq)
| sz00 = xq
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xq)
| ~ spl4_80 ),
inference(superposition,[],[f156,f764]) ).
fof(f1196,plain,
( ~ spl4_107
| ~ spl4_3
| ~ spl4_9
| spl4_11
| ~ spl4_76 ),
inference(avatar_split_clause,[],[f1089,f742,f240,f230,f200,f1193]) ).
fof(f1193,plain,
( spl4_107
<=> sz00 = sdtpldt0(sz10,xl) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_107])]) ).
fof(f1089,plain,
( sz00 != sdtpldt0(sz10,xl)
| ~ spl4_3
| ~ spl4_9
| spl4_11
| ~ spl4_76 ),
inference(subsumption_resolution,[],[f1088,f202]) ).
fof(f1088,plain,
( sz00 != sdtpldt0(sz10,xl)
| ~ aNaturalNumber0(xl)
| ~ spl4_9
| spl4_11
| ~ spl4_76 ),
inference(subsumption_resolution,[],[f1087,f232]) ).
fof(f1087,plain,
( sz00 != sdtpldt0(sz10,xl)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xl)
| spl4_11
| ~ spl4_76 ),
inference(subsumption_resolution,[],[f1063,f242]) ).
fof(f1063,plain,
( sz00 != sdtpldt0(sz10,xl)
| sz00 = xl
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xl)
| ~ spl4_76 ),
inference(superposition,[],[f156,f744]) ).
fof(f1151,plain,
( spl4_106
| ~ spl4_14
| ~ spl4_21
| ~ spl4_98 ),
inference(avatar_split_clause,[],[f1022,f997,f299,f255,f1148]) ).
fof(f1137,plain,
( ~ spl4_105
| ~ spl4_37
| spl4_96
| ~ spl4_98 ),
inference(avatar_split_clause,[],[f1028,f997,f923,f397,f1134]) ).
fof(f923,plain,
( spl4_96
<=> xq = sdtpldt0(xn,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_96])]) ).
fof(f1028,plain,
( xn != xq
| ~ spl4_37
| spl4_96
| ~ spl4_98 ),
inference(forward_demodulation,[],[f1021,f399]) ).
fof(f1021,plain,
( xq != sdtpldt0(xn,sz00)
| spl4_96
| ~ spl4_98 ),
inference(superposition,[],[f925,f999]) ).
fof(f925,plain,
( xq != sdtpldt0(xn,xp)
| spl4_96 ),
inference(avatar_component_clause,[],[f923]) ).
fof(f1132,plain,
( ~ spl4_104
| ~ spl4_36
| spl4_90
| ~ spl4_98 ),
inference(avatar_split_clause,[],[f1026,f997,f861,f392,f1129]) ).
fof(f861,plain,
( spl4_90
<=> xq = sdtpldt0(xm,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_90])]) ).
fof(f1026,plain,
( xm != xq
| ~ spl4_36
| spl4_90
| ~ spl4_98 ),
inference(forward_demodulation,[],[f1019,f394]) ).
fof(f1019,plain,
( xq != sdtpldt0(xm,sz00)
| spl4_90
| ~ spl4_98 ),
inference(superposition,[],[f863,f999]) ).
fof(f863,plain,
( xq != sdtpldt0(xm,xp)
| spl4_90 ),
inference(avatar_component_clause,[],[f861]) ).
fof(f1127,plain,
( ~ spl4_103
| ~ spl4_35
| spl4_83
| ~ spl4_98 ),
inference(avatar_split_clause,[],[f1024,f997,f795,f387,f1124]) ).
fof(f795,plain,
( spl4_83
<=> xq = sdtpldt0(xl,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_83])]) ).
fof(f1024,plain,
( xl != xq
| ~ spl4_35
| spl4_83
| ~ spl4_98 ),
inference(forward_demodulation,[],[f1017,f389]) ).
fof(f1017,plain,
( xq != sdtpldt0(xl,sz00)
| spl4_83
| ~ spl4_98 ),
inference(superposition,[],[f797,f999]) ).
fof(f797,plain,
( xq != sdtpldt0(xl,xp)
| spl4_83 ),
inference(avatar_component_clause,[],[f795]) ).
fof(f1052,plain,
( ~ spl4_102
| ~ spl4_2
| ~ spl4_8
| spl4_100 ),
inference(avatar_split_clause,[],[f1047,f1030,f225,f195,f1049]) ).
fof(f1038,plain,
( spl4_101
| ~ spl4_69
| ~ spl4_98 ),
inference(avatar_split_clause,[],[f1015,f997,f665,f1035]) ).
fof(f1015,plain,
( sdtlseqdt0(xq,sz00)
| ~ spl4_69
| ~ spl4_98 ),
inference(superposition,[],[f667,f999]) ).
fof(f1033,plain,
( ~ spl4_100
| spl4_10
| ~ spl4_98 ),
inference(avatar_split_clause,[],[f1007,f997,f235,f1030]) ).
fof(f235,plain,
( spl4_10
<=> sdtlseqdt0(xp,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_10])]) ).
fof(f1007,plain,
( ~ sdtlseqdt0(sz00,xq)
| spl4_10
| ~ spl4_98 ),
inference(superposition,[],[f237,f999]) ).
fof(f237,plain,
( ~ sdtlseqdt0(xp,xq)
| spl4_10 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f1004,plain,
( spl4_98
| spl4_99
| ~ spl4_1
| ~ spl4_3
| ~ spl4_14 ),
inference(avatar_split_clause,[],[f984,f255,f200,f190,f1001,f997]) ).
fof(f984,plain,
( sdtlseqdt0(xl,xm)
| sz00 = xp
| ~ spl4_1
| ~ spl4_3
| ~ spl4_14 ),
inference(subsumption_resolution,[],[f983,f192]) ).
fof(f983,plain,
( sdtlseqdt0(xl,xm)
| sz00 = xp
| ~ aNaturalNumber0(xp)
| ~ spl4_3
| ~ spl4_14 ),
inference(subsumption_resolution,[],[f951,f202]) ).
fof(f951,plain,
( sdtlseqdt0(xl,xm)
| sz00 = xp
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xp)
| ~ spl4_14 ),
inference(superposition,[],[f152,f257]) ).
fof(f995,plain,
( spl4_97
| ~ spl4_3
| ~ spl4_9
| spl4_11
| ~ spl4_57 ),
inference(avatar_split_clause,[],[f970,f546,f240,f230,f200,f992]) ).
fof(f970,plain,
( sdtlseqdt0(sz10,xl)
| ~ spl4_3
| ~ spl4_9
| spl4_11
| ~ spl4_57 ),
inference(subsumption_resolution,[],[f969,f202]) ).
fof(f969,plain,
( sdtlseqdt0(sz10,xl)
| ~ aNaturalNumber0(xl)
| ~ spl4_9
| spl4_11
| ~ spl4_57 ),
inference(subsumption_resolution,[],[f968,f232]) ).
fof(f968,plain,
( sdtlseqdt0(sz10,xl)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xl)
| spl4_11
| ~ spl4_57 ),
inference(subsumption_resolution,[],[f941,f242]) ).
fof(f941,plain,
( sdtlseqdt0(sz10,xl)
| sz00 = xl
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xl)
| ~ spl4_57 ),
inference(superposition,[],[f152,f548]) ).
fof(f926,plain,
( ~ spl4_96
| ~ spl4_5
| ~ spl4_92 ),
inference(avatar_split_clause,[],[f921,f899,f210,f923]) ).
fof(f921,plain,
( xq != sdtpldt0(xn,xp)
| ~ spl4_5
| ~ spl4_92 ),
inference(subsumption_resolution,[],[f919,f212]) ).
fof(f919,plain,
( xq != sdtpldt0(xn,xp)
| ~ aNaturalNumber0(xn)
| ~ spl4_92 ),
inference(superposition,[],[f114,f901]) ).
fof(f917,plain,
( spl4_95
| ~ spl4_5
| ~ spl4_6 ),
inference(avatar_split_clause,[],[f879,f215,f210,f914]) ).
fof(f879,plain,
( sdtpldt0(sK1,xn) = sdtpldt0(xn,sK1)
| ~ spl4_5
| ~ spl4_6 ),
inference(resolution,[],[f723,f217]) ).
fof(f912,plain,
( spl4_94
| ~ spl4_5
| ~ spl4_7 ),
inference(avatar_split_clause,[],[f878,f220,f210,f909]) ).
fof(f878,plain,
( sdtpldt0(sK0,xn) = sdtpldt0(xn,sK0)
| ~ spl4_5
| ~ spl4_7 ),
inference(resolution,[],[f723,f222]) ).
fof(f907,plain,
( spl4_93
| ~ spl4_2
| ~ spl4_5 ),
inference(avatar_split_clause,[],[f877,f210,f195,f904]) ).
fof(f902,plain,
( spl4_92
| ~ spl4_1
| ~ spl4_5 ),
inference(avatar_split_clause,[],[f876,f210,f190,f899]) ).
fof(f876,plain,
( sdtpldt0(xp,xn) = sdtpldt0(xn,xp)
| ~ spl4_1
| ~ spl4_5 ),
inference(resolution,[],[f723,f192]) ).
fof(f897,plain,
( spl4_91
| ~ spl4_5
| ~ spl4_9 ),
inference(avatar_split_clause,[],[f869,f230,f210,f894]) ).
fof(f869,plain,
( sdtpldt0(sz10,xn) = sdtpldt0(xn,sz10)
| ~ spl4_5
| ~ spl4_9 ),
inference(resolution,[],[f723,f232]) ).
fof(f864,plain,
( ~ spl4_90
| ~ spl4_4
| ~ spl4_86 ),
inference(avatar_split_clause,[],[f859,f826,f205,f861]) ).
fof(f859,plain,
( xq != sdtpldt0(xm,xp)
| ~ spl4_4
| ~ spl4_86 ),
inference(subsumption_resolution,[],[f857,f207]) ).
fof(f857,plain,
( xq != sdtpldt0(xm,xp)
| ~ aNaturalNumber0(xm)
| ~ spl4_86 ),
inference(superposition,[],[f114,f828]) ).
fof(f854,plain,
( spl4_89
| ~ spl4_4
| ~ spl4_6 ),
inference(avatar_split_clause,[],[f813,f215,f205,f851]) ).
fof(f813,plain,
( sdtpldt0(sK1,xm) = sdtpldt0(xm,sK1)
| ~ spl4_4
| ~ spl4_6 ),
inference(resolution,[],[f722,f217]) ).
fof(f849,plain,
( spl4_88
| ~ spl4_4
| ~ spl4_7 ),
inference(avatar_split_clause,[],[f812,f220,f205,f846]) ).
fof(f812,plain,
( sdtpldt0(sK0,xm) = sdtpldt0(xm,sK0)
| ~ spl4_4
| ~ spl4_7 ),
inference(resolution,[],[f722,f222]) ).
fof(f834,plain,
( spl4_87
| ~ spl4_2
| ~ spl4_4 ),
inference(avatar_split_clause,[],[f811,f205,f195,f831]) ).
fof(f829,plain,
( spl4_86
| ~ spl4_1
| ~ spl4_4 ),
inference(avatar_split_clause,[],[f810,f205,f190,f826]) ).
fof(f824,plain,
( spl4_85
| ~ spl4_4
| ~ spl4_5 ),
inference(avatar_split_clause,[],[f809,f210,f205,f821]) ).
fof(f809,plain,
( sdtpldt0(xm,xn) = sdtpldt0(xn,xm)
| ~ spl4_4
| ~ spl4_5 ),
inference(resolution,[],[f722,f212]) ).
fof(f819,plain,
( spl4_84
| ~ spl4_4
| ~ spl4_9 ),
inference(avatar_split_clause,[],[f803,f230,f205,f816]) ).
fof(f803,plain,
( sdtpldt0(sz10,xm) = sdtpldt0(xm,sz10)
| ~ spl4_4
| ~ spl4_9 ),
inference(resolution,[],[f722,f232]) ).
fof(f798,plain,
( ~ spl4_83
| ~ spl4_3
| ~ spl4_79 ),
inference(avatar_split_clause,[],[f793,f757,f200,f795]) ).
fof(f793,plain,
( xq != sdtpldt0(xl,xp)
| ~ spl4_3
| ~ spl4_79 ),
inference(subsumption_resolution,[],[f791,f202]) ).
fof(f791,plain,
( xq != sdtpldt0(xl,xp)
| ~ aNaturalNumber0(xl)
| ~ spl4_79 ),
inference(superposition,[],[f114,f759]) ).
fof(f775,plain,
( spl4_82
| ~ spl4_3
| ~ spl4_6 ),
inference(avatar_split_clause,[],[f739,f215,f200,f772]) ).
fof(f739,plain,
( sdtpldt0(sK1,xl) = sdtpldt0(xl,sK1)
| ~ spl4_3
| ~ spl4_6 ),
inference(resolution,[],[f721,f217]) ).
fof(f770,plain,
( spl4_81
| ~ spl4_3
| ~ spl4_7 ),
inference(avatar_split_clause,[],[f738,f220,f200,f767]) ).
fof(f738,plain,
( sdtpldt0(sK0,xl) = sdtpldt0(xl,sK0)
| ~ spl4_3
| ~ spl4_7 ),
inference(resolution,[],[f721,f222]) ).
fof(f765,plain,
( spl4_80
| ~ spl4_2
| ~ spl4_3 ),
inference(avatar_split_clause,[],[f737,f200,f195,f762]) ).
fof(f760,plain,
( spl4_79
| ~ spl4_1
| ~ spl4_3 ),
inference(avatar_split_clause,[],[f736,f200,f190,f757]) ).
fof(f755,plain,
( spl4_78
| ~ spl4_3
| ~ spl4_5 ),
inference(avatar_split_clause,[],[f735,f210,f200,f752]) ).
fof(f735,plain,
( sdtpldt0(xn,xl) = sdtpldt0(xl,xn)
| ~ spl4_3
| ~ spl4_5 ),
inference(resolution,[],[f721,f212]) ).
fof(f750,plain,
( spl4_77
| ~ spl4_3
| ~ spl4_4 ),
inference(avatar_split_clause,[],[f734,f205,f200,f747]) ).
fof(f745,plain,
( spl4_76
| ~ spl4_3
| ~ spl4_9 ),
inference(avatar_split_clause,[],[f729,f230,f200,f742]) ).
fof(f729,plain,
( sdtpldt0(sz10,xl) = sdtpldt0(xl,sz10)
| ~ spl4_3
| ~ spl4_9 ),
inference(resolution,[],[f721,f232]) ).
fof(f715,plain,
( spl4_75
| ~ spl4_64 ),
inference(avatar_split_clause,[],[f614,f609,f712]) ).
fof(f712,plain,
( spl4_75
<=> sdtpldt0(xm,xn) = sdtasdt0(sz10,sdtpldt0(xm,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_75])]) ).
fof(f708,plain,
( spl4_74
| ~ spl4_64 ),
inference(avatar_split_clause,[],[f619,f609,f705]) ).
fof(f703,plain,
( spl4_73
| ~ spl4_64 ),
inference(avatar_split_clause,[],[f618,f609,f700]) ).
fof(f700,plain,
( spl4_73
<=> sz00 = sdtasdt0(sz00,sdtpldt0(xm,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_73])]) ).
fof(f688,plain,
( spl4_72
| ~ spl4_9 ),
inference(avatar_split_clause,[],[f482,f230,f683]) ).
fof(f687,plain,
( spl4_66
| ~ spl4_8 ),
inference(avatar_split_clause,[],[f481,f225,f641]) ).
fof(f641,plain,
( spl4_66
<=> sz00 = sdtasdt0(sz10,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_66])]) ).
fof(f686,plain,
( spl4_72
| ~ spl4_9 ),
inference(avatar_split_clause,[],[f436,f230,f683]) ).
fof(f681,plain,
( spl4_67
| ~ spl4_8 ),
inference(avatar_split_clause,[],[f435,f225,f647]) ).
fof(f647,plain,
( spl4_67
<=> sz00 = sdtasdt0(sz00,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_67])]) ).
fof(f680,plain,
( spl4_71
| ~ spl4_9 ),
inference(avatar_split_clause,[],[f402,f230,f677]) ).
fof(f675,plain,
( spl4_68
| ~ spl4_8 ),
inference(avatar_split_clause,[],[f401,f225,f652]) ).
fof(f674,plain,
( spl4_70
| ~ spl4_9 ),
inference(avatar_split_clause,[],[f363,f230,f671]) ).
fof(f669,plain,
( spl4_69
| ~ spl4_1
| ~ spl4_2
| spl4_10 ),
inference(avatar_split_clause,[],[f663,f235,f195,f190,f665]) ).
fof(f663,plain,
( sdtlseqdt0(xq,xp)
| ~ spl4_1
| ~ spl4_2
| spl4_10 ),
inference(subsumption_resolution,[],[f662,f192]) ).
fof(f662,plain,
( sdtlseqdt0(xq,xp)
| ~ aNaturalNumber0(xp)
| ~ spl4_2
| spl4_10 ),
inference(subsumption_resolution,[],[f657,f197]) ).
fof(f657,plain,
( sdtlseqdt0(xq,xp)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| spl4_10 ),
inference(resolution,[],[f151,f237]) ).
fof(f668,plain,
( spl4_69
| ~ spl4_1
| ~ spl4_2
| spl4_10 ),
inference(avatar_split_clause,[],[f661,f235,f195,f190,f665]) ).
fof(f661,plain,
( sdtlseqdt0(xq,xp)
| ~ spl4_1
| ~ spl4_2
| spl4_10 ),
inference(subsumption_resolution,[],[f660,f197]) ).
fof(f660,plain,
( sdtlseqdt0(xq,xp)
| ~ aNaturalNumber0(xq)
| ~ spl4_1
| spl4_10 ),
inference(subsumption_resolution,[],[f656,f192]) ).
fof(f656,plain,
( sdtlseqdt0(xq,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xq)
| spl4_10 ),
inference(resolution,[],[f151,f237]) ).
fof(f655,plain,
( spl4_68
| ~ spl4_8 ),
inference(avatar_split_clause,[],[f362,f225,f652]) ).
fof(f650,plain,
( spl4_67
| ~ spl4_9 ),
inference(avatar_split_clause,[],[f329,f230,f647]) ).
fof(f645,plain,
( spl4_65
| ~ spl4_8 ),
inference(avatar_split_clause,[],[f328,f225,f636]) ).
fof(f636,plain,
( spl4_65
<=> sz00 = sdtasdt0(sz00,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_65])]) ).
fof(f644,plain,
( spl4_66
| ~ spl4_9 ),
inference(avatar_split_clause,[],[f290,f230,f641]) ).
fof(f639,plain,
( spl4_65
| ~ spl4_8 ),
inference(avatar_split_clause,[],[f289,f225,f636]) ).
fof(f613,plain,
( spl4_64
| ~ spl4_3
| ~ spl4_7
| ~ spl4_20 ),
inference(avatar_split_clause,[],[f607,f285,f220,f200,f609]) ).
fof(f607,plain,
( aNaturalNumber0(sdtpldt0(xm,xn))
| ~ spl4_3
| ~ spl4_7
| ~ spl4_20 ),
inference(subsumption_resolution,[],[f606,f202]) ).
fof(f606,plain,
( aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xl)
| ~ spl4_7
| ~ spl4_20 ),
inference(subsumption_resolution,[],[f596,f222]) ).
fof(f596,plain,
( aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xl)
| ~ spl4_20 ),
inference(superposition,[],[f147,f287]) ).
fof(f612,plain,
( spl4_64
| ~ spl4_2
| ~ spl4_3
| ~ spl4_18 ),
inference(avatar_split_clause,[],[f605,f275,f200,f195,f609]) ).
fof(f605,plain,
( aNaturalNumber0(sdtpldt0(xm,xn))
| ~ spl4_2
| ~ spl4_3
| ~ spl4_18 ),
inference(subsumption_resolution,[],[f604,f202]) ).
fof(f604,plain,
( aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xl)
| ~ spl4_2
| ~ spl4_18 ),
inference(subsumption_resolution,[],[f595,f197]) ).
fof(f595,plain,
( aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl)
| ~ spl4_18 ),
inference(superposition,[],[f147,f277]) ).
fof(f579,plain,
( spl4_63
| ~ spl4_6 ),
inference(avatar_split_clause,[],[f489,f215,f576]) ).
fof(f489,plain,
( sK1 = sdtasdt0(sz10,sK1)
| ~ spl4_6 ),
inference(resolution,[],[f141,f217]) ).
fof(f574,plain,
( spl4_62
| ~ spl4_7 ),
inference(avatar_split_clause,[],[f488,f220,f571]) ).
fof(f488,plain,
( sK0 = sdtasdt0(sz10,sK0)
| ~ spl4_7 ),
inference(resolution,[],[f141,f222]) ).
fof(f569,plain,
( spl4_61
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f487,f195,f566]) ).
fof(f564,plain,
( spl4_60
| ~ spl4_1 ),
inference(avatar_split_clause,[],[f486,f190,f561]) ).
fof(f559,plain,
( spl4_59
| ~ spl4_5 ),
inference(avatar_split_clause,[],[f485,f210,f556]) ).
fof(f554,plain,
( spl4_58
| ~ spl4_4 ),
inference(avatar_split_clause,[],[f484,f205,f551]) ).
fof(f549,plain,
( spl4_57
| ~ spl4_3 ),
inference(avatar_split_clause,[],[f483,f200,f546]) ).
fof(f524,plain,
( spl4_56
| ~ spl4_6 ),
inference(avatar_split_clause,[],[f443,f215,f521]) ).
fof(f443,plain,
( sK1 = sdtasdt0(sK1,sz10)
| ~ spl4_6 ),
inference(resolution,[],[f140,f217]) ).
fof(f519,plain,
( spl4_55
| ~ spl4_7 ),
inference(avatar_split_clause,[],[f442,f220,f516]) ).
fof(f442,plain,
( sK0 = sdtasdt0(sK0,sz10)
| ~ spl4_7 ),
inference(resolution,[],[f140,f222]) ).
fof(f514,plain,
( spl4_54
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f441,f195,f511]) ).
fof(f509,plain,
( spl4_53
| ~ spl4_1 ),
inference(avatar_split_clause,[],[f440,f190,f506]) ).
fof(f504,plain,
( spl4_52
| ~ spl4_5 ),
inference(avatar_split_clause,[],[f439,f210,f501]) ).
fof(f499,plain,
( spl4_51
| ~ spl4_4 ),
inference(avatar_split_clause,[],[f438,f205,f496]) ).
fof(f494,plain,
( spl4_50
| ~ spl4_3 ),
inference(avatar_split_clause,[],[f437,f200,f491]) ).
fof(f480,plain,
( ~ spl4_49
| ~ spl4_8
| ~ spl4_38 ),
inference(avatar_split_clause,[],[f475,f411,f225,f477]) ).
fof(f475,plain,
( xp != xq
| ~ spl4_8
| ~ spl4_38 ),
inference(subsumption_resolution,[],[f474,f227]) ).
fof(f474,plain,
( xp != xq
| ~ aNaturalNumber0(sz00)
| ~ spl4_38 ),
inference(superposition,[],[f114,f413]) ).
fof(f473,plain,
( spl4_48
| ~ spl4_6 ),
inference(avatar_split_clause,[],[f409,f215,f470]) ).
fof(f470,plain,
( spl4_48
<=> sK1 = sdtpldt0(sz00,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_48])]) ).
fof(f409,plain,
( sK1 = sdtpldt0(sz00,sK1)
| ~ spl4_6 ),
inference(resolution,[],[f139,f217]) ).
fof(f468,plain,
( spl4_47
| ~ spl4_7 ),
inference(avatar_split_clause,[],[f408,f220,f465]) ).
fof(f465,plain,
( spl4_47
<=> sK0 = sdtpldt0(sz00,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_47])]) ).
fof(f408,plain,
( sK0 = sdtpldt0(sz00,sK0)
| ~ spl4_7 ),
inference(resolution,[],[f139,f222]) ).
fof(f463,plain,
( spl4_46
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f407,f195,f460]) ).
fof(f458,plain,
( spl4_45
| ~ spl4_1 ),
inference(avatar_split_clause,[],[f406,f190,f455]) ).
fof(f453,plain,
( spl4_44
| ~ spl4_5 ),
inference(avatar_split_clause,[],[f405,f210,f450]) ).
fof(f450,plain,
( spl4_44
<=> xn = sdtpldt0(sz00,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_44])]) ).
fof(f448,plain,
( spl4_43
| ~ spl4_4 ),
inference(avatar_split_clause,[],[f404,f205,f445]) ).
fof(f445,plain,
( spl4_43
<=> xm = sdtpldt0(sz00,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_43])]) ).
fof(f434,plain,
( spl4_42
| ~ spl4_3 ),
inference(avatar_split_clause,[],[f403,f200,f431]) ).
fof(f431,plain,
( spl4_42
<=> xl = sdtpldt0(sz00,xl) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_42])]) ).
fof(f429,plain,
( spl4_41
| ~ spl4_6 ),
inference(avatar_split_clause,[],[f370,f215,f426]) ).
fof(f426,plain,
( spl4_41
<=> sK1 = sdtpldt0(sK1,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_41])]) ).
fof(f370,plain,
( sK1 = sdtpldt0(sK1,sz00)
| ~ spl4_6 ),
inference(resolution,[],[f138,f217]) ).
fof(f424,plain,
( spl4_40
| ~ spl4_7 ),
inference(avatar_split_clause,[],[f369,f220,f421]) ).
fof(f369,plain,
( sK0 = sdtpldt0(sK0,sz00)
| ~ spl4_7 ),
inference(resolution,[],[f138,f222]) ).
fof(f419,plain,
( spl4_39
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f368,f195,f416]) ).
fof(f414,plain,
( spl4_38
| ~ spl4_1 ),
inference(avatar_split_clause,[],[f367,f190,f411]) ).
fof(f400,plain,
( spl4_37
| ~ spl4_5 ),
inference(avatar_split_clause,[],[f366,f210,f397]) ).
fof(f395,plain,
( spl4_36
| ~ spl4_4 ),
inference(avatar_split_clause,[],[f365,f205,f392]) ).
fof(f390,plain,
( spl4_35
| ~ spl4_3 ),
inference(avatar_split_clause,[],[f364,f200,f387]) ).
fof(f385,plain,
( spl4_34
| ~ spl4_6 ),
inference(avatar_split_clause,[],[f336,f215,f382]) ).
fof(f336,plain,
( sz00 = sdtasdt0(sz00,sK1)
| ~ spl4_6 ),
inference(resolution,[],[f137,f217]) ).
fof(f380,plain,
( spl4_33
| ~ spl4_7 ),
inference(avatar_split_clause,[],[f335,f220,f377]) ).
fof(f335,plain,
( sz00 = sdtasdt0(sz00,sK0)
| ~ spl4_7 ),
inference(resolution,[],[f137,f222]) ).
fof(f375,plain,
( spl4_32
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f334,f195,f372]) ).
fof(f361,plain,
( spl4_31
| ~ spl4_1 ),
inference(avatar_split_clause,[],[f333,f190,f358]) ).
fof(f356,plain,
( spl4_30
| ~ spl4_5 ),
inference(avatar_split_clause,[],[f332,f210,f353]) ).
fof(f351,plain,
( spl4_29
| ~ spl4_4 ),
inference(avatar_split_clause,[],[f331,f205,f348]) ).
fof(f346,plain,
( spl4_28
| ~ spl4_3 ),
inference(avatar_split_clause,[],[f330,f200,f343]) ).
fof(f341,plain,
( spl4_27
| ~ spl4_6 ),
inference(avatar_split_clause,[],[f297,f215,f338]) ).
fof(f297,plain,
( sz00 = sdtasdt0(sK1,sz00)
| ~ spl4_6 ),
inference(resolution,[],[f136,f217]) ).
fof(f327,plain,
( spl4_26
| ~ spl4_7 ),
inference(avatar_split_clause,[],[f296,f220,f324]) ).
fof(f296,plain,
( sz00 = sdtasdt0(sK0,sz00)
| ~ spl4_7 ),
inference(resolution,[],[f136,f222]) ).
fof(f322,plain,
( spl4_25
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f295,f195,f319]) ).
fof(f317,plain,
( spl4_24
| ~ spl4_1 ),
inference(avatar_split_clause,[],[f294,f190,f314]) ).
fof(f312,plain,
( spl4_23
| ~ spl4_5 ),
inference(avatar_split_clause,[],[f293,f210,f309]) ).
fof(f307,plain,
( spl4_22
| ~ spl4_4 ),
inference(avatar_split_clause,[],[f292,f205,f304]) ).
fof(f302,plain,
( spl4_21
| ~ spl4_3 ),
inference(avatar_split_clause,[],[f291,f200,f299]) ).
fof(f288,plain,
spl4_20,
inference(avatar_split_clause,[],[f130,f285]) ).
fof(f283,plain,
spl4_19,
inference(avatar_split_clause,[],[f122,f280]) ).
fof(f278,plain,
spl4_18,
inference(avatar_split_clause,[],[f121,f275]) ).
fof(f273,plain,
spl4_17,
inference(avatar_split_clause,[],[f131,f270]) ).
fof(f268,plain,
spl4_16,
inference(avatar_split_clause,[],[f127,f265]) ).
fof(f263,plain,
spl4_15,
inference(avatar_split_clause,[],[f119,f260]) ).
fof(f258,plain,
spl4_14,
inference(avatar_split_clause,[],[f118,f255]) ).
fof(f253,plain,
~ spl4_13,
inference(avatar_split_clause,[],[f134,f250]) ).
fof(f248,plain,
spl4_12,
inference(avatar_split_clause,[],[f128,f245]) ).
fof(f243,plain,
~ spl4_11,
inference(avatar_split_clause,[],[f116,f240]) ).
fof(f238,plain,
~ spl4_10,
inference(avatar_split_clause,[],[f115,f235]) ).
fof(f233,plain,
spl4_9,
inference(avatar_split_clause,[],[f133,f230]) ).
fof(f228,plain,
spl4_8,
inference(avatar_split_clause,[],[f132,f225]) ).
fof(f223,plain,
spl4_7,
inference(avatar_split_clause,[],[f129,f220]) ).
fof(f218,plain,
spl4_6,
inference(avatar_split_clause,[],[f126,f215]) ).
fof(f213,plain,
spl4_5,
inference(avatar_split_clause,[],[f125,f210]) ).
fof(f208,plain,
spl4_4,
inference(avatar_split_clause,[],[f124,f205]) ).
fof(f203,plain,
spl4_3,
inference(avatar_split_clause,[],[f123,f200]) ).
fof(f198,plain,
spl4_2,
inference(avatar_split_clause,[],[f120,f195]) ).
fof(f193,plain,
spl4_1,
inference(avatar_split_clause,[],[f117,f190]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM471+2 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n013.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Wed Aug 30 14:54:01 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.22/0.42 % (4478)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (4510)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.22/0.43 % (4509)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.22/0.43 % (4512)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 Vampire---4 for (569ds/0Mi)
% 0.22/0.43 % (4514)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 Vampire---4 for (531ds/0Mi)
% 0.22/0.43 % (4515)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 Vampire---4 for (522ds/0Mi)
% 0.22/0.43 % (4513)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.22/0.43 % (4516)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 Vampire---4 for (497ds/0Mi)
% 0.22/0.43 TRYING [1]
% 0.22/0.43 TRYING [2]
% 0.22/0.43 TRYING [1]
% 0.22/0.43 TRYING [2]
% 0.22/0.44 TRYING [3]
% 0.22/0.44 TRYING [3]
% 0.22/0.45 TRYING [4]
% 0.22/0.45 TRYING [4]
% 0.22/0.51 TRYING [5]
% 0.22/0.52 TRYING [5]
% 0.22/0.56 TRYING [1]
% 0.22/0.56 TRYING [2]
% 0.22/0.56 TRYING [3]
% 0.22/0.56 TRYING [4]
% 0.99/0.60 TRYING [5]
% 0.99/0.62 TRYING [6]
% 0.99/0.65 TRYING [6]
% 2.02/0.72 TRYING [6]
% 4.12/0.98 TRYING [7]
% 4.12/1.07 TRYING [7]
% 5.25/1.22 TRYING [7]
% 9.71/1.87 TRYING [8]
% 11.41/2.07 % (4512)First to succeed.
% 11.41/2.08 TRYING [8]
% 11.41/2.10 % (4512)Refutation found. Thanks to Tanya!
% 11.41/2.10 % SZS status Theorem for Vampire---4
% 11.41/2.10 % SZS output start Proof for Vampire---4
% See solution above
% 11.98/2.13 % (4512)------------------------------
% 11.98/2.13 % (4512)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 11.98/2.13 % (4512)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 11.98/2.13 % (4512)Termination reason: Refutation
% 11.98/2.13
% 11.98/2.13 % (4512)Memory used [KB]: 12665
% 11.98/2.13 % (4512)Time elapsed: 1.671 s
% 11.98/2.13 % (4512)------------------------------
% 11.98/2.13 % (4512)------------------------------
% 11.98/2.13 % (4478)Success in time 1.752 s
% 11.98/2.13 % Vampire---4.8 exiting
%------------------------------------------------------------------------------