TSTP Solution File: NUM528+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM528+1 : 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 : n019.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 20:19:49 EDT 2023
% Result : Theorem 6.92s 1.40s
% Output : Refutation 6.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 455
% Syntax : Number of formulae : 2433 ( 40 unt; 0 def)
% Number of atoms : 9422 (1766 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 12685 (5696 ~;6308 |; 195 &)
% ( 420 <=>; 66 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 412 ( 410 usr; 404 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-2 aty)
% Number of variables : 951 (; 931 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12920,plain,
$false,
inference(avatar_smt_refutation,[],[f238,f243,f248,f253,f258,f263,f268,f273,f278,f283,f288,f297,f302,f307,f313,f319,f330,f335,f347,f352,f357,f367,f372,f377,f382,f387,f397,f402,f407,f408,f413,f418,f428,f433,f438,f443,f448,f458,f463,f468,f473,f499,f504,f509,f538,f543,f554,f564,f568,f579,f584,f592,f601,f612,f617,f624,f629,f634,f639,f649,f654,f659,f664,f669,f686,f690,f696,f700,f707,f708,f751,f756,f761,f781,f786,f816,f835,f840,f860,f961,f1013,f1018,f1023,f1028,f1053,f1058,f1063,f1088,f1093,f1134,f1140,f1145,f1150,f1155,f1160,f1165,f1170,f1175,f1216,f1221,f1302,f1307,f1312,f1317,f1322,f1327,f1369,f1374,f1379,f1384,f1389,f1394,f1418,f1423,f1432,f1466,f1471,f1476,f1495,f1502,f1524,f1529,f1572,f1579,f1597,f1602,f1607,f1612,f1617,f1622,f1627,f1632,f1672,f1677,f1694,f1702,f1714,f1728,f1761,f1769,f1776,f1796,f1812,f2115,f2123,f2131,f2136,f2141,f2332,f2414,f2415,f2432,f2443,f2448,f2554,f2568,f2573,f2588,f2593,f2598,f2603,f2784,f2822,f2837,f2997,f3015,f3020,f3025,f3030,f3036,f3041,f3046,f3052,f3110,f3125,f3134,f3156,f3232,f3246,f3251,f3256,f3261,f3266,f3288,f3390,f3425,f3461,f3476,f3533,f3592,f3597,f3737,f3742,f3747,f3752,f3759,f3764,f3769,f4091,f4096,f4101,f4106,f4112,f4117,f4122,f4127,f4555,f4591,f4627,f4707,f4878,f4883,f4888,f4915,f4932,f4937,f4982,f4987,f5014,f5019,f5280,f5285,f5308,f5313,f5318,f5323,f5328,f5333,f5338,f5343,f5348,f5353,f5358,f5889,f5904,f5909,f5974,f5979,f6002,f6007,f6012,f6017,f6022,f6070,f6075,f6601,f6615,f6616,f6625,f6635,f6672,f6678,f6985,f7064,f7075,f7703,f8422,f8437,f8442,f8489,f8494,f8689,f8694,f8699,f8704,f8709,f8956,f8961,f8966,f8971,f8977,f9300,f9305,f9310,f9315,f9316,f9321,f9322,f9327,f9432,f9451,f9552,f9569,f9584,f9594,f9604,f9622,f9650,f9658,f9663,f9690,f9695,f9700,f9705,f9727,f9732,f9737,f9814,f9819,f9847,f9871,f9876,f9877,f9882,f9887,f9892,f9893,f9898,f9903,f9908,f9913,f9918,f9923,f9928,f9929,f9934,f9939,f9976,f9987,f10150,f10155,f10160,f10165,f10170,f10198,f10203,f10208,f10213,f10218,f10277,f10354,f10359,f10364,f10420,f10436,f10539,f10544,f10549,f10550,f10551,f10592,f10601,f10602,f10782,f10787,f10792,f10797,f10802,f10807,f10808,f10858,f10863,f10868,f10873,f10878,f10887,f10894,f10938,f10948,f10964,f10966,f11031,f11032,f11054,f11072,f11115,f11239,f11244,f11249,f11358,f11389,f11390,f11391,f11396,f11401,f11406,f11411,f11416,f11421,f11452,f11457,f11542,f11543,f11589,f11590,f11621,f11622,f11759,f11764,f11852,f11857,f11862,f11957,f12085,f12090,f12095,f12101,f12106,f12111,f12116,f12148,f12153,f12158,f12163,f12169,f12174,f12179,f12184,f12212,f12280,f12285,f12314,f12322,f12327,f12352,f12357,f12908,f12919]) ).
fof(f12919,plain,
( ~ spl6_4
| ~ spl6_6
| ~ spl6_46
| ~ spl6_48
| ~ spl6_61
| ~ spl6_62
| spl6_116
| spl6_146 ),
inference(avatar_contradiction_clause,[],[f12918]) ).
fof(f12918,plain,
( $false
| ~ spl6_4
| ~ spl6_6
| ~ spl6_46
| ~ spl6_48
| ~ spl6_61
| ~ spl6_62
| spl6_116
| spl6_146 ),
inference(subsumption_resolution,[],[f12917,f262]) ).
fof(f262,plain,
( aNaturalNumber0(sz10)
| ~ spl6_6 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f260,plain,
( spl6_6
<=> aNaturalNumber0(sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_6])]) ).
fof(f12917,plain,
( ~ aNaturalNumber0(sz10)
| ~ spl6_4
| ~ spl6_46
| ~ spl6_48
| ~ spl6_61
| ~ spl6_62
| spl6_116
| spl6_146 ),
inference(subsumption_resolution,[],[f12916,f1493]) ).
fof(f1493,plain,
( sz10 != xp
| spl6_116 ),
inference(avatar_component_clause,[],[f1492]) ).
fof(f1492,plain,
( spl6_116
<=> sz10 = xp ),
introduced(avatar_definition,[new_symbols(naming,[spl6_116])]) ).
fof(f12916,plain,
( sz10 = xp
| ~ aNaturalNumber0(sz10)
| ~ spl6_4
| ~ spl6_46
| ~ spl6_48
| ~ spl6_61
| ~ spl6_62
| spl6_146 ),
inference(trivial_inequality_removal,[],[f12911]) ).
fof(f12911,plain,
( sdtasdt0(xn,xn) != sdtasdt0(xn,xn)
| sz10 = xp
| ~ aNaturalNumber0(sz10)
| ~ spl6_4
| ~ spl6_46
| ~ spl6_48
| ~ spl6_61
| ~ spl6_62
| spl6_146 ),
inference(superposition,[],[f4364,f653]) ).
fof(f653,plain,
( sdtasdt0(xn,xn) = sdtasdt0(sz10,sdtasdt0(xn,xn))
| ~ spl6_62 ),
inference(avatar_component_clause,[],[f651]) ).
fof(f651,plain,
( spl6_62
<=> sdtasdt0(xn,xn) = sdtasdt0(sz10,sdtasdt0(xn,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_62])]) ).
fof(f4364,plain,
( ! [X53] :
( sdtasdt0(xn,xn) != sdtasdt0(X53,sdtasdt0(xn,xn))
| xp = X53
| ~ aNaturalNumber0(X53) )
| ~ spl6_4
| ~ spl6_46
| ~ spl6_48
| ~ spl6_61
| spl6_146 ),
inference(subsumption_resolution,[],[f4363,f2331]) ).
fof(f2331,plain,
( sz00 != sdtasdt0(xn,xn)
| spl6_146 ),
inference(avatar_component_clause,[],[f2329]) ).
fof(f2329,plain,
( spl6_146
<=> sz00 = sdtasdt0(xn,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_146])]) ).
fof(f4363,plain,
( ! [X53] :
( sz00 = sdtasdt0(xn,xn)
| sdtasdt0(xn,xn) != sdtasdt0(X53,sdtasdt0(xn,xn))
| xp = X53
| ~ aNaturalNumber0(X53) )
| ~ spl6_4
| ~ spl6_46
| ~ spl6_48
| ~ spl6_61 ),
inference(forward_demodulation,[],[f4362,f647]) ).
fof(f647,plain,
( sdtasdt0(xm,xm) = sdtasdt0(xn,xn)
| ~ spl6_61 ),
inference(avatar_component_clause,[],[f646]) ).
fof(f646,plain,
( spl6_61
<=> sdtasdt0(xm,xm) = sdtasdt0(xn,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_61])]) ).
fof(f4362,plain,
( ! [X53] :
( sdtasdt0(xn,xn) != sdtasdt0(X53,sdtasdt0(xn,xn))
| xp = X53
| ~ aNaturalNumber0(X53)
| sz00 = sdtasdt0(xm,xm) )
| ~ spl6_4
| ~ spl6_46
| ~ spl6_48
| ~ spl6_61 ),
inference(forward_demodulation,[],[f4361,f647]) ).
fof(f4361,plain,
( ! [X53] :
( sdtasdt0(xn,xn) != sdtasdt0(X53,sdtasdt0(xm,xm))
| xp = X53
| ~ aNaturalNumber0(X53)
| sz00 = sdtasdt0(xm,xm) )
| ~ spl6_4
| ~ spl6_46
| ~ spl6_48 ),
inference(subsumption_resolution,[],[f4360,f553]) ).
fof(f553,plain,
( aNaturalNumber0(sdtasdt0(xm,xm))
| ~ spl6_48 ),
inference(avatar_component_clause,[],[f551]) ).
fof(f551,plain,
( spl6_48
<=> aNaturalNumber0(sdtasdt0(xm,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_48])]) ).
fof(f4360,plain,
( ! [X53] :
( sdtasdt0(xn,xn) != sdtasdt0(X53,sdtasdt0(xm,xm))
| xp = X53
| ~ aNaturalNumber0(X53)
| sz00 = sdtasdt0(xm,xm)
| ~ aNaturalNumber0(sdtasdt0(xm,xm)) )
| ~ spl6_4
| ~ spl6_46 ),
inference(subsumption_resolution,[],[f4225,f252]) ).
fof(f252,plain,
( aNaturalNumber0(xp)
| ~ spl6_4 ),
inference(avatar_component_clause,[],[f250]) ).
fof(f250,plain,
( spl6_4
<=> aNaturalNumber0(xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_4])]) ).
fof(f4225,plain,
( ! [X53] :
( sdtasdt0(xn,xn) != sdtasdt0(X53,sdtasdt0(xm,xm))
| xp = X53
| ~ aNaturalNumber0(X53)
| ~ aNaturalNumber0(xp)
| sz00 = sdtasdt0(xm,xm)
| ~ aNaturalNumber0(sdtasdt0(xm,xm)) )
| ~ spl6_46 ),
inference(superposition,[],[f173,f542]) ).
fof(f542,plain,
( sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn)
| ~ spl6_46 ),
inference(avatar_component_clause,[],[f540]) ).
fof(f540,plain,
( spl6_46
<=> sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_46])]) ).
fof(f173,plain,
! [X2,X0,X1] :
( sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
| X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,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,[],[f62]) ).
fof(f62,plain,
! [X0] :
( ! [X1,X2] :
( X1 = X2
| ( sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtasdt0(X0,X1) != sdtasdt0(X0,X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(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.7LS3zoPI9a/Vampire---4.8_3333',mMulCanc) ).
fof(f12908,plain,
( ~ spl6_403
| ~ spl6_6
| ~ spl6_49
| ~ spl6_52
| ~ spl6_182
| spl6_398 ),
inference(avatar_split_clause,[],[f12903,f12311,f3387,f589,f561,f260,f12905]) ).
fof(f12905,plain,
( spl6_403
<=> sdtlseqdt0(sdtasdt0(xn,xn),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_403])]) ).
fof(f561,plain,
( spl6_49
<=> aNaturalNumber0(xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_49])]) ).
fof(f589,plain,
( spl6_52
<=> aNaturalNumber0(sdtasdt0(xn,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_52])]) ).
fof(f3387,plain,
( spl6_182
<=> sdtlseqdt0(sz10,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_182])]) ).
fof(f12311,plain,
( spl6_398
<=> sdtlseqdt0(sdtasdt0(xn,xn),xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_398])]) ).
fof(f12903,plain,
( ~ sdtlseqdt0(sdtasdt0(xn,xn),sz10)
| ~ spl6_6
| ~ spl6_49
| ~ spl6_52
| ~ spl6_182
| spl6_398 ),
inference(subsumption_resolution,[],[f12895,f591]) ).
fof(f591,plain,
( aNaturalNumber0(sdtasdt0(xn,xn))
| ~ spl6_52 ),
inference(avatar_component_clause,[],[f589]) ).
fof(f12895,plain,
( ~ sdtlseqdt0(sdtasdt0(xn,xn),sz10)
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ spl6_6
| ~ spl6_49
| ~ spl6_182
| spl6_398 ),
inference(resolution,[],[f3412,f12313]) ).
fof(f12313,plain,
( ~ sdtlseqdt0(sdtasdt0(xn,xn),xq)
| spl6_398 ),
inference(avatar_component_clause,[],[f12311]) ).
fof(f3412,plain,
( ! [X0] :
( sdtlseqdt0(X0,xq)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(X0) )
| ~ spl6_6
| ~ spl6_49
| ~ spl6_182 ),
inference(subsumption_resolution,[],[f3411,f262]) ).
fof(f3411,plain,
( ! [X0] :
( sdtlseqdt0(X0,xq)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) )
| ~ spl6_49
| ~ spl6_182 ),
inference(subsumption_resolution,[],[f3408,f562]) ).
fof(f562,plain,
( aNaturalNumber0(xq)
| ~ spl6_49 ),
inference(avatar_component_clause,[],[f561]) ).
fof(f3408,plain,
( ! [X0] :
( sdtlseqdt0(X0,xq)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) )
| ~ spl6_182 ),
inference(resolution,[],[f3389,f229]) ).
fof(f229,plain,
! [X2,X0,X1] :
( ~ sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f118]) ).
fof(f118,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.7LS3zoPI9a/Vampire---4.8_3333',mLETran) ).
fof(f3389,plain,
( sdtlseqdt0(sz10,xq)
| ~ spl6_182 ),
inference(avatar_component_clause,[],[f3387]) ).
fof(f12357,plain,
( spl6_402
| ~ spl6_4
| ~ spl6_233 ),
inference(avatar_split_clause,[],[f5961,f5897,f250,f12354]) ).
fof(f12354,plain,
( spl6_402
<=> sz00 = sdtasdt0(sdtpldt0(xp,sK3(xm)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_402])]) ).
fof(f5897,plain,
( spl6_233
<=> aNaturalNumber0(sK3(xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_233])]) ).
fof(f5961,plain,
( sz00 = sdtasdt0(sdtpldt0(xp,sK3(xm)),sz00)
| ~ spl6_4
| ~ spl6_233 ),
inference(resolution,[],[f5898,f1192]) ).
fof(f1192,plain,
( ! [X12] :
( ~ aNaturalNumber0(X12)
| sz00 = sdtasdt0(sdtpldt0(xp,X12),sz00) )
| ~ spl6_4 ),
inference(resolution,[],[f484,f252]) ).
fof(f484,plain,
! [X10,X11] :
( ~ aNaturalNumber0(X11)
| ~ aNaturalNumber0(X10)
| sz00 = sdtasdt0(sdtpldt0(X11,X10),sz00) ),
inference(resolution,[],[f187,f164]) ).
fof(f164,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(X0,sz00) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,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.7LS3zoPI9a/Vampire---4.8_3333',m_MulZero) ).
fof(f187,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f68]) ).
fof(f68,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.7LS3zoPI9a/Vampire---4.8_3333',mSortsB) ).
fof(f5898,plain,
( aNaturalNumber0(sK3(xm))
| ~ spl6_233 ),
inference(avatar_component_clause,[],[f5897]) ).
fof(f12352,plain,
( spl6_401
| ~ spl6_3
| ~ spl6_233 ),
inference(avatar_split_clause,[],[f5960,f5897,f245,f12349]) ).
fof(f12349,plain,
( spl6_401
<=> sz00 = sdtasdt0(sdtpldt0(xm,sK3(xm)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_401])]) ).
fof(f245,plain,
( spl6_3
<=> aNaturalNumber0(xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_3])]) ).
fof(f5960,plain,
( sz00 = sdtasdt0(sdtpldt0(xm,sK3(xm)),sz00)
| ~ spl6_3
| ~ spl6_233 ),
inference(resolution,[],[f5898,f1191]) ).
fof(f1191,plain,
( ! [X11] :
( ~ aNaturalNumber0(X11)
| sz00 = sdtasdt0(sdtpldt0(xm,X11),sz00) )
| ~ spl6_3 ),
inference(resolution,[],[f484,f247]) ).
fof(f247,plain,
( aNaturalNumber0(xm)
| ~ spl6_3 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f12327,plain,
( spl6_400
| ~ spl6_2
| ~ spl6_233 ),
inference(avatar_split_clause,[],[f5959,f5897,f240,f12324]) ).
fof(f12324,plain,
( spl6_400
<=> sz00 = sdtasdt0(sdtpldt0(xn,sK3(xm)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_400])]) ).
fof(f240,plain,
( spl6_2
<=> aNaturalNumber0(xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).
fof(f5959,plain,
( sz00 = sdtasdt0(sdtpldt0(xn,sK3(xm)),sz00)
| ~ spl6_2
| ~ spl6_233 ),
inference(resolution,[],[f5898,f1190]) ).
fof(f1190,plain,
( ! [X10] :
( ~ aNaturalNumber0(X10)
| sz00 = sdtasdt0(sdtpldt0(xn,X10),sz00) )
| ~ spl6_2 ),
inference(resolution,[],[f484,f242]) ).
fof(f242,plain,
( aNaturalNumber0(xn)
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f12322,plain,
( spl6_399
| ~ spl6_6
| ~ spl6_233 ),
inference(avatar_split_clause,[],[f5958,f5897,f260,f12319]) ).
fof(f12319,plain,
( spl6_399
<=> sz00 = sdtasdt0(sdtpldt0(sz10,sK3(xm)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_399])]) ).
fof(f5958,plain,
( sz00 = sdtasdt0(sdtpldt0(sz10,sK3(xm)),sz00)
| ~ spl6_6
| ~ spl6_233 ),
inference(resolution,[],[f5898,f1185]) ).
fof(f1185,plain,
( ! [X1] :
( ~ aNaturalNumber0(X1)
| sz00 = sdtasdt0(sdtpldt0(sz10,X1),sz00) )
| ~ spl6_6 ),
inference(resolution,[],[f484,f262]) ).
fof(f12314,plain,
( ~ spl6_398
| ~ spl6_49
| ~ spl6_52
| spl6_251
| ~ spl6_396 ),
inference(avatar_split_clause,[],[f12295,f12277,f6675,f589,f561,f12311]) ).
fof(f6675,plain,
( spl6_251
<=> sdtasdt0(xn,xn) = xq ),
introduced(avatar_definition,[new_symbols(naming,[spl6_251])]) ).
fof(f12277,plain,
( spl6_396
<=> sdtlseqdt0(xq,sdtasdt0(xn,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_396])]) ).
fof(f12295,plain,
( ~ sdtlseqdt0(sdtasdt0(xn,xn),xq)
| ~ spl6_49
| ~ spl6_52
| spl6_251
| ~ spl6_396 ),
inference(subsumption_resolution,[],[f12294,f591]) ).
fof(f12294,plain,
( ~ sdtlseqdt0(sdtasdt0(xn,xn),xq)
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ spl6_49
| spl6_251
| ~ spl6_396 ),
inference(subsumption_resolution,[],[f12293,f562]) ).
fof(f12293,plain,
( ~ sdtlseqdt0(sdtasdt0(xn,xn),xq)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| spl6_251
| ~ spl6_396 ),
inference(subsumption_resolution,[],[f12288,f6677]) ).
fof(f6677,plain,
( sdtasdt0(xn,xn) != xq
| spl6_251 ),
inference(avatar_component_clause,[],[f6675]) ).
fof(f12288,plain,
( sdtasdt0(xn,xn) = xq
| ~ sdtlseqdt0(sdtasdt0(xn,xn),xq)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ spl6_396 ),
inference(resolution,[],[f12279,f210]) ).
fof(f210,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f96]) ).
fof(f96,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.7LS3zoPI9a/Vampire---4.8_3333',mLEAsym) ).
fof(f12279,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,xn))
| ~ spl6_396 ),
inference(avatar_component_clause,[],[f12277]) ).
fof(f12285,plain,
( spl6_397
| ~ spl6_49
| ~ spl6_395 ),
inference(avatar_split_clause,[],[f12271,f12209,f561,f12282]) ).
fof(f12282,plain,
( spl6_397
<=> doDivides0(xq,sdtasdt0(xn,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_397])]) ).
fof(f12209,plain,
( spl6_395
<=> sdtasdt0(xn,xn) = sdtasdt0(xq,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_395])]) ).
fof(f12271,plain,
( doDivides0(xq,sdtasdt0(xn,xn))
| ~ spl6_49
| ~ spl6_395 ),
inference(subsumption_resolution,[],[f12236,f562]) ).
fof(f12236,plain,
( doDivides0(xq,sdtasdt0(xn,xn))
| ~ aNaturalNumber0(xq)
| ~ spl6_395 ),
inference(duplicate_literal_removal,[],[f12232]) ).
fof(f12232,plain,
( doDivides0(xq,sdtasdt0(xn,xn))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xq)
| ~ spl6_395 ),
inference(superposition,[],[f2005,f12211]) ).
fof(f12211,plain,
( sdtasdt0(xn,xn) = sdtasdt0(xq,xq)
| ~ spl6_395 ),
inference(avatar_component_clause,[],[f12209]) ).
fof(f2005,plain,
! [X0,X1] :
( doDivides0(X0,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(subsumption_resolution,[],[f1879,f188]) ).
fof(f188,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f70]) ).
fof(f70,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.7LS3zoPI9a/Vampire---4.8_3333',mSortsB_02) ).
fof(f1879,plain,
! [X0,X1] :
( doDivides0(X0,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f213]) ).
fof(f213,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X2) != X1
| doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
! [X0,X1] :
( ( ( doDivides0(X0,X1)
| ! [X2] :
( sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) ) )
& ( ( sdtasdt0(X0,sK4(X0,X1)) = X1
& aNaturalNumber0(sK4(X0,X1)) )
| ~ doDivides0(X0,X1) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f138,f139]) ).
fof(f139,plain,
! [X0,X1] :
( ? [X3] :
( sdtasdt0(X0,X3) = X1
& aNaturalNumber0(X3) )
=> ( sdtasdt0(X0,sK4(X0,X1)) = X1
& aNaturalNumber0(sK4(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f138,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,[],[f137]) ).
fof(f137,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,[],[f99]) ).
fof(f99,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f98]) ).
fof(f98,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.7LS3zoPI9a/Vampire---4.8_3333',mDefDiv) ).
fof(f12280,plain,
( spl6_396
| ~ spl6_49
| spl6_181
| ~ spl6_395 ),
inference(avatar_split_clause,[],[f12260,f12209,f3383,f561,f12277]) ).
fof(f3383,plain,
( spl6_181
<=> sz00 = xq ),
introduced(avatar_definition,[new_symbols(naming,[spl6_181])]) ).
fof(f12260,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,xn))
| ~ spl6_49
| spl6_181
| ~ spl6_395 ),
inference(subsumption_resolution,[],[f12259,f562]) ).
fof(f12259,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,xn))
| ~ aNaturalNumber0(xq)
| spl6_181
| ~ spl6_395 ),
inference(subsumption_resolution,[],[f12244,f3384]) ).
fof(f3384,plain,
( sz00 != xq
| spl6_181 ),
inference(avatar_component_clause,[],[f3383]) ).
fof(f12244,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,xn))
| sz00 = xq
| ~ aNaturalNumber0(xq)
| ~ spl6_395 ),
inference(duplicate_literal_removal,[],[f12224]) ).
fof(f12224,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,xn))
| sz00 = xq
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xq)
| ~ spl6_395 ),
inference(superposition,[],[f193,f12211]) ).
fof(f193,plain,
! [X0,X1] :
( sdtlseqdt0(X1,sdtasdt0(X1,X0))
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0,X1] :
( sdtlseqdt0(X1,sdtasdt0(X1,X0))
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f78]) ).
fof(f78,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.7LS3zoPI9a/Vampire---4.8_3333',mMonMul2) ).
fof(f12212,plain,
( spl6_395
| ~ spl6_4
| spl6_9
| ~ spl6_45
| ~ spl6_46
| ~ spl6_47
| ~ spl6_48
| ~ spl6_61 ),
inference(avatar_split_clause,[],[f12204,f646,f551,f547,f540,f535,f275,f250,f12209]) ).
fof(f275,plain,
( spl6_9
<=> sz00 = xp ),
introduced(avatar_definition,[new_symbols(naming,[spl6_9])]) ).
fof(f535,plain,
( spl6_45
<=> sdtasdt0(xm,xm) = sdtasdt0(xp,sdtasdt0(xq,xq)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_45])]) ).
fof(f547,plain,
( spl6_47
<=> aNaturalNumber0(sdtasdt0(xq,xq)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_47])]) ).
fof(f12204,plain,
( sdtasdt0(xn,xn) = sdtasdt0(xq,xq)
| ~ spl6_4
| spl6_9
| ~ spl6_45
| ~ spl6_46
| ~ spl6_47
| ~ spl6_48
| ~ spl6_61 ),
inference(forward_demodulation,[],[f12203,f647]) ).
fof(f12203,plain,
( sdtasdt0(xm,xm) = sdtasdt0(xq,xq)
| ~ spl6_4
| spl6_9
| ~ spl6_45
| ~ spl6_46
| ~ spl6_47
| ~ spl6_48
| ~ spl6_61 ),
inference(subsumption_resolution,[],[f12201,f553]) ).
fof(f12201,plain,
( sdtasdt0(xm,xm) = sdtasdt0(xq,xq)
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ~ spl6_4
| spl6_9
| ~ spl6_45
| ~ spl6_46
| ~ spl6_47
| ~ spl6_61 ),
inference(trivial_inequality_removal,[],[f12191]) ).
fof(f12191,plain,
( sdtasdt0(xn,xn) != sdtasdt0(xn,xn)
| sdtasdt0(xm,xm) = sdtasdt0(xq,xq)
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ~ spl6_4
| spl6_9
| ~ spl6_45
| ~ spl6_46
| ~ spl6_47
| ~ spl6_61 ),
inference(superposition,[],[f3958,f542]) ).
fof(f3958,plain,
( ! [X52] :
( sdtasdt0(xn,xn) != sdtasdt0(xp,X52)
| sdtasdt0(xq,xq) = X52
| ~ aNaturalNumber0(X52) )
| ~ spl6_4
| spl6_9
| ~ spl6_45
| ~ spl6_47
| ~ spl6_61 ),
inference(forward_demodulation,[],[f3957,f647]) ).
fof(f3957,plain,
( ! [X52] :
( sdtasdt0(xm,xm) != sdtasdt0(xp,X52)
| sdtasdt0(xq,xq) = X52
| ~ aNaturalNumber0(X52) )
| ~ spl6_4
| spl6_9
| ~ spl6_45
| ~ spl6_47 ),
inference(subsumption_resolution,[],[f3956,f252]) ).
fof(f3956,plain,
( ! [X52] :
( sdtasdt0(xm,xm) != sdtasdt0(xp,X52)
| sdtasdt0(xq,xq) = X52
| ~ aNaturalNumber0(X52)
| ~ aNaturalNumber0(xp) )
| spl6_9
| ~ spl6_45
| ~ spl6_47 ),
inference(subsumption_resolution,[],[f3955,f277]) ).
fof(f277,plain,
( sz00 != xp
| spl6_9 ),
inference(avatar_component_clause,[],[f275]) ).
fof(f3955,plain,
( ! [X52] :
( sdtasdt0(xm,xm) != sdtasdt0(xp,X52)
| sdtasdt0(xq,xq) = X52
| ~ aNaturalNumber0(X52)
| sz00 = xp
| ~ aNaturalNumber0(xp) )
| ~ spl6_45
| ~ spl6_47 ),
inference(subsumption_resolution,[],[f3823,f548]) ).
fof(f548,plain,
( aNaturalNumber0(sdtasdt0(xq,xq))
| ~ spl6_47 ),
inference(avatar_component_clause,[],[f547]) ).
fof(f3823,plain,
( ! [X52] :
( sdtasdt0(xm,xm) != sdtasdt0(xp,X52)
| sdtasdt0(xq,xq) = X52
| ~ aNaturalNumber0(X52)
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| sz00 = xp
| ~ aNaturalNumber0(xp) )
| ~ spl6_45 ),
inference(superposition,[],[f172,f537]) ).
fof(f537,plain,
( sdtasdt0(xm,xm) = sdtasdt0(xp,sdtasdt0(xq,xq))
| ~ spl6_45 ),
inference(avatar_component_clause,[],[f535]) ).
fof(f172,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
| X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f12184,plain,
( spl6_394
| ~ spl6_4
| ~ spl6_233 ),
inference(avatar_split_clause,[],[f5956,f5897,f250,f12181]) ).
fof(f12181,plain,
( spl6_394
<=> sz00 = sdtasdt0(sz00,sdtpldt0(xp,sK3(xm))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_394])]) ).
fof(f5956,plain,
( sz00 = sdtasdt0(sz00,sdtpldt0(xp,sK3(xm)))
| ~ spl6_4
| ~ spl6_233 ),
inference(resolution,[],[f5898,f989]) ).
fof(f989,plain,
( ! [X12] :
( ~ aNaturalNumber0(X12)
| sz00 = sdtasdt0(sz00,sdtpldt0(xp,X12)) )
| ~ spl6_4 ),
inference(resolution,[],[f483,f252]) ).
fof(f483,plain,
! [X8,X9] :
( ~ aNaturalNumber0(X9)
| ~ aNaturalNumber0(X8)
| sz00 = sdtasdt0(sz00,sdtpldt0(X9,X8)) ),
inference(resolution,[],[f187,f165]) ).
fof(f165,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f12179,plain,
( spl6_393
| ~ spl6_3
| ~ spl6_233 ),
inference(avatar_split_clause,[],[f5955,f5897,f245,f12176]) ).
fof(f12176,plain,
( spl6_393
<=> sz00 = sdtasdt0(sz00,sdtpldt0(xm,sK3(xm))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_393])]) ).
fof(f5955,plain,
( sz00 = sdtasdt0(sz00,sdtpldt0(xm,sK3(xm)))
| ~ spl6_3
| ~ spl6_233 ),
inference(resolution,[],[f5898,f988]) ).
fof(f988,plain,
( ! [X11] :
( ~ aNaturalNumber0(X11)
| sz00 = sdtasdt0(sz00,sdtpldt0(xm,X11)) )
| ~ spl6_3 ),
inference(resolution,[],[f483,f247]) ).
fof(f12174,plain,
( spl6_392
| ~ spl6_2
| ~ spl6_233 ),
inference(avatar_split_clause,[],[f5954,f5897,f240,f12171]) ).
fof(f12171,plain,
( spl6_392
<=> sz00 = sdtasdt0(sz00,sdtpldt0(xn,sK3(xm))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_392])]) ).
fof(f5954,plain,
( sz00 = sdtasdt0(sz00,sdtpldt0(xn,sK3(xm)))
| ~ spl6_2
| ~ spl6_233 ),
inference(resolution,[],[f5898,f987]) ).
fof(f987,plain,
( ! [X10] :
( ~ aNaturalNumber0(X10)
| sz00 = sdtasdt0(sz00,sdtpldt0(xn,X10)) )
| ~ spl6_2 ),
inference(resolution,[],[f483,f242]) ).
fof(f12169,plain,
( spl6_391
| ~ spl6_6
| ~ spl6_233 ),
inference(avatar_split_clause,[],[f5953,f5897,f260,f12166]) ).
fof(f12166,plain,
( spl6_391
<=> sz00 = sdtasdt0(sz00,sdtpldt0(sz10,sK3(xm))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_391])]) ).
fof(f5953,plain,
( sz00 = sdtasdt0(sz00,sdtpldt0(sz10,sK3(xm)))
| ~ spl6_6
| ~ spl6_233 ),
inference(resolution,[],[f5898,f982]) ).
fof(f982,plain,
( ! [X1] :
( ~ aNaturalNumber0(X1)
| sz00 = sdtasdt0(sz00,sdtpldt0(sz10,X1)) )
| ~ spl6_6 ),
inference(resolution,[],[f483,f262]) ).
fof(f12163,plain,
( spl6_390
| ~ spl6_4
| ~ spl6_217 ),
inference(avatar_split_clause,[],[f5051,f5007,f250,f12160]) ).
fof(f12160,plain,
( spl6_390
<=> sz00 = sdtasdt0(sdtpldt0(xp,sK3(xn)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_390])]) ).
fof(f5007,plain,
( spl6_217
<=> aNaturalNumber0(sK3(xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_217])]) ).
fof(f5051,plain,
( sz00 = sdtasdt0(sdtpldt0(xp,sK3(xn)),sz00)
| ~ spl6_4
| ~ spl6_217 ),
inference(resolution,[],[f5008,f1192]) ).
fof(f5008,plain,
( aNaturalNumber0(sK3(xn))
| ~ spl6_217 ),
inference(avatar_component_clause,[],[f5007]) ).
fof(f12158,plain,
( spl6_389
| ~ spl6_3
| ~ spl6_217 ),
inference(avatar_split_clause,[],[f5050,f5007,f245,f12155]) ).
fof(f12155,plain,
( spl6_389
<=> sz00 = sdtasdt0(sdtpldt0(xm,sK3(xn)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_389])]) ).
fof(f5050,plain,
( sz00 = sdtasdt0(sdtpldt0(xm,sK3(xn)),sz00)
| ~ spl6_3
| ~ spl6_217 ),
inference(resolution,[],[f5008,f1191]) ).
fof(f12153,plain,
( spl6_388
| ~ spl6_2
| ~ spl6_217 ),
inference(avatar_split_clause,[],[f5049,f5007,f240,f12150]) ).
fof(f12150,plain,
( spl6_388
<=> sz00 = sdtasdt0(sdtpldt0(xn,sK3(xn)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_388])]) ).
fof(f5049,plain,
( sz00 = sdtasdt0(sdtpldt0(xn,sK3(xn)),sz00)
| ~ spl6_2
| ~ spl6_217 ),
inference(resolution,[],[f5008,f1190]) ).
fof(f12148,plain,
( spl6_387
| ~ spl6_6
| ~ spl6_217 ),
inference(avatar_split_clause,[],[f5048,f5007,f260,f12145]) ).
fof(f12145,plain,
( spl6_387
<=> sz00 = sdtasdt0(sdtpldt0(sz10,sK3(xn)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_387])]) ).
fof(f5048,plain,
( sz00 = sdtasdt0(sdtpldt0(sz10,sK3(xn)),sz00)
| ~ spl6_6
| ~ spl6_217 ),
inference(resolution,[],[f5008,f1185]) ).
fof(f12116,plain,
( spl6_386
| ~ spl6_4
| ~ spl6_217 ),
inference(avatar_split_clause,[],[f5046,f5007,f250,f12113]) ).
fof(f12113,plain,
( spl6_386
<=> sz00 = sdtasdt0(sz00,sdtpldt0(xp,sK3(xn))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_386])]) ).
fof(f5046,plain,
( sz00 = sdtasdt0(sz00,sdtpldt0(xp,sK3(xn)))
| ~ spl6_4
| ~ spl6_217 ),
inference(resolution,[],[f5008,f989]) ).
fof(f12111,plain,
( spl6_385
| ~ spl6_3
| ~ spl6_217 ),
inference(avatar_split_clause,[],[f5045,f5007,f245,f12108]) ).
fof(f12108,plain,
( spl6_385
<=> sz00 = sdtasdt0(sz00,sdtpldt0(xm,sK3(xn))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_385])]) ).
fof(f5045,plain,
( sz00 = sdtasdt0(sz00,sdtpldt0(xm,sK3(xn)))
| ~ spl6_3
| ~ spl6_217 ),
inference(resolution,[],[f5008,f988]) ).
fof(f12106,plain,
( spl6_384
| ~ spl6_2
| ~ spl6_217 ),
inference(avatar_split_clause,[],[f5044,f5007,f240,f12103]) ).
fof(f12103,plain,
( spl6_384
<=> sz00 = sdtasdt0(sz00,sdtpldt0(xn,sK3(xn))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_384])]) ).
fof(f5044,plain,
( sz00 = sdtasdt0(sz00,sdtpldt0(xn,sK3(xn)))
| ~ spl6_2
| ~ spl6_217 ),
inference(resolution,[],[f5008,f987]) ).
fof(f12101,plain,
( spl6_383
| ~ spl6_6
| ~ spl6_217 ),
inference(avatar_split_clause,[],[f5043,f5007,f260,f12098]) ).
fof(f12098,plain,
( spl6_383
<=> sz00 = sdtasdt0(sz00,sdtpldt0(sz10,sK3(xn))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_383])]) ).
fof(f5043,plain,
( sz00 = sdtasdt0(sz00,sdtpldt0(sz10,sK3(xn)))
| ~ spl6_6
| ~ spl6_217 ),
inference(resolution,[],[f5008,f982]) ).
fof(f12095,plain,
( spl6_382
| ~ spl6_4
| ~ spl6_213 ),
inference(avatar_split_clause,[],[f4969,f4925,f250,f12092]) ).
fof(f12092,plain,
( spl6_382
<=> sz00 = sdtasdt0(sdtpldt0(xp,sK2(xn)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_382])]) ).
fof(f4925,plain,
( spl6_213
<=> aNaturalNumber0(sK2(xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_213])]) ).
fof(f4969,plain,
( sz00 = sdtasdt0(sdtpldt0(xp,sK2(xn)),sz00)
| ~ spl6_4
| ~ spl6_213 ),
inference(resolution,[],[f4926,f1192]) ).
fof(f4926,plain,
( aNaturalNumber0(sK2(xn))
| ~ spl6_213 ),
inference(avatar_component_clause,[],[f4925]) ).
fof(f12090,plain,
( spl6_381
| ~ spl6_3
| ~ spl6_213 ),
inference(avatar_split_clause,[],[f4968,f4925,f245,f12087]) ).
fof(f12087,plain,
( spl6_381
<=> sz00 = sdtasdt0(sdtpldt0(xm,sK2(xn)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_381])]) ).
fof(f4968,plain,
( sz00 = sdtasdt0(sdtpldt0(xm,sK2(xn)),sz00)
| ~ spl6_3
| ~ spl6_213 ),
inference(resolution,[],[f4926,f1191]) ).
fof(f12085,plain,
( spl6_380
| ~ spl6_2
| ~ spl6_213 ),
inference(avatar_split_clause,[],[f4967,f4925,f240,f12082]) ).
fof(f12082,plain,
( spl6_380
<=> sz00 = sdtasdt0(sdtpldt0(xn,sK2(xn)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_380])]) ).
fof(f4967,plain,
( sz00 = sdtasdt0(sdtpldt0(xn,sK2(xn)),sz00)
| ~ spl6_2
| ~ spl6_213 ),
inference(resolution,[],[f4926,f1190]) ).
fof(f11957,plain,
( spl6_379
| ~ spl6_2
| ~ spl6_49
| ~ spl6_326 ),
inference(avatar_split_clause,[],[f10290,f10274,f561,f240,f11954]) ).
fof(f11954,plain,
( spl6_379
<=> xn = sdtasdt0(xq,sK4(xq,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_379])]) ).
fof(f10274,plain,
( spl6_326
<=> doDivides0(xq,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_326])]) ).
fof(f10290,plain,
( xn = sdtasdt0(xq,sK4(xq,xn))
| ~ spl6_2
| ~ spl6_49
| ~ spl6_326 ),
inference(subsumption_resolution,[],[f10289,f562]) ).
fof(f10289,plain,
( xn = sdtasdt0(xq,sK4(xq,xn))
| ~ aNaturalNumber0(xq)
| ~ spl6_2
| ~ spl6_326 ),
inference(subsumption_resolution,[],[f10281,f242]) ).
fof(f10281,plain,
( xn = sdtasdt0(xq,sK4(xq,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xq)
| ~ spl6_326 ),
inference(resolution,[],[f10276,f212]) ).
fof(f212,plain,
! [X0,X1] :
( ~ doDivides0(X0,X1)
| sdtasdt0(X0,sK4(X0,X1)) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f140]) ).
fof(f10276,plain,
( doDivides0(xq,xn)
| ~ spl6_326 ),
inference(avatar_component_clause,[],[f10274]) ).
fof(f11862,plain,
( spl6_378
| ~ spl6_5
| ~ spl6_49
| ~ spl6_286 ),
inference(avatar_split_clause,[],[f9642,f9619,f561,f255,f11859]) ).
fof(f11859,plain,
( spl6_378
<=> xq = sdtpldt0(sz00,sK5(sz00,xq)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_378])]) ).
fof(f255,plain,
( spl6_5
<=> aNaturalNumber0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_5])]) ).
fof(f9619,plain,
( spl6_286
<=> sdtlseqdt0(sz00,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_286])]) ).
fof(f9642,plain,
( xq = sdtpldt0(sz00,sK5(sz00,xq))
| ~ spl6_5
| ~ spl6_49
| ~ spl6_286 ),
inference(subsumption_resolution,[],[f9641,f257]) ).
fof(f257,plain,
( aNaturalNumber0(sz00)
| ~ spl6_5 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f9641,plain,
( xq = sdtpldt0(sz00,sK5(sz00,xq))
| ~ aNaturalNumber0(sz00)
| ~ spl6_49
| ~ spl6_286 ),
inference(subsumption_resolution,[],[f9637,f562]) ).
fof(f9637,plain,
( xq = sdtpldt0(sz00,sK5(sz00,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ spl6_286 ),
inference(resolution,[],[f9621,f215]) ).
fof(f215,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| sdtpldt0(X0,sK5(X0,X1)) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ! [X2] :
( sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) ) )
& ( ( sdtpldt0(X0,sK5(X0,X1)) = X1
& aNaturalNumber0(sK5(X0,X1)) )
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f142,f143]) ).
fof(f143,plain,
! [X0,X1] :
( ? [X3] :
( sdtpldt0(X0,X3) = X1
& aNaturalNumber0(X3) )
=> ( sdtpldt0(X0,sK5(X0,X1)) = X1
& aNaturalNumber0(sK5(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f142,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,[],[f141]) ).
fof(f141,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,[],[f101]) ).
fof(f101,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f100]) ).
fof(f100,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.7LS3zoPI9a/Vampire---4.8_3333',mDefLE) ).
fof(f9621,plain,
( sdtlseqdt0(sz00,xq)
| ~ spl6_286 ),
inference(avatar_component_clause,[],[f9619]) ).
fof(f11857,plain,
( spl6_377
| ~ spl6_6
| ~ spl6_49
| ~ spl6_285 ),
inference(avatar_split_clause,[],[f9635,f9601,f561,f260,f11854]) ).
fof(f11854,plain,
( spl6_377
<=> xq = sdtasdt0(sz10,sK4(sz10,xq)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_377])]) ).
fof(f9601,plain,
( spl6_285
<=> doDivides0(sz10,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_285])]) ).
fof(f9635,plain,
( xq = sdtasdt0(sz10,sK4(sz10,xq))
| ~ spl6_6
| ~ spl6_49
| ~ spl6_285 ),
inference(subsumption_resolution,[],[f9634,f262]) ).
fof(f9634,plain,
( xq = sdtasdt0(sz10,sK4(sz10,xq))
| ~ aNaturalNumber0(sz10)
| ~ spl6_49
| ~ spl6_285 ),
inference(subsumption_resolution,[],[f9626,f562]) ).
fof(f9626,plain,
( xq = sdtasdt0(sz10,sK4(sz10,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz10)
| ~ spl6_285 ),
inference(resolution,[],[f9603,f212]) ).
fof(f9603,plain,
( doDivides0(sz10,xq)
| ~ spl6_285 ),
inference(avatar_component_clause,[],[f9601]) ).
fof(f11852,plain,
( spl6_376
| ~ spl6_49
| ~ spl6_280 ),
inference(avatar_split_clause,[],[f9617,f9448,f561,f11849]) ).
fof(f11849,plain,
( spl6_376
<=> xq = sdtasdt0(xq,sK4(xq,xq)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_376])]) ).
fof(f9448,plain,
( spl6_280
<=> doDivides0(xq,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_280])]) ).
fof(f9617,plain,
( xq = sdtasdt0(xq,sK4(xq,xq))
| ~ spl6_49
| ~ spl6_280 ),
inference(subsumption_resolution,[],[f9612,f562]) ).
fof(f9612,plain,
( xq = sdtasdt0(xq,sK4(xq,xq))
| ~ aNaturalNumber0(xq)
| ~ spl6_280 ),
inference(duplicate_literal_removal,[],[f9608]) ).
fof(f9608,plain,
( xq = sdtasdt0(xq,sK4(xq,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xq)
| ~ spl6_280 ),
inference(resolution,[],[f9450,f212]) ).
fof(f9450,plain,
( doDivides0(xq,xq)
| ~ spl6_280 ),
inference(avatar_component_clause,[],[f9448]) ).
fof(f11764,plain,
( spl6_375
| ~ spl6_5
| ~ spl6_6
| ~ spl6_282 ),
inference(avatar_split_clause,[],[f9576,f9566,f260,f255,f11761]) ).
fof(f11761,plain,
( spl6_375
<=> sz10 = sdtpldt0(sz00,sK5(sz00,sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_375])]) ).
fof(f9566,plain,
( spl6_282
<=> sdtlseqdt0(sz00,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_282])]) ).
fof(f9576,plain,
( sz10 = sdtpldt0(sz00,sK5(sz00,sz10))
| ~ spl6_5
| ~ spl6_6
| ~ spl6_282 ),
inference(subsumption_resolution,[],[f9575,f257]) ).
fof(f9575,plain,
( sz10 = sdtpldt0(sz00,sK5(sz00,sz10))
| ~ aNaturalNumber0(sz00)
| ~ spl6_6
| ~ spl6_282 ),
inference(subsumption_resolution,[],[f9571,f262]) ).
fof(f9571,plain,
( sz10 = sdtpldt0(sz00,sK5(sz00,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ spl6_282 ),
inference(resolution,[],[f9568,f215]) ).
fof(f9568,plain,
( sdtlseqdt0(sz00,sz10)
| ~ spl6_282 ),
inference(avatar_component_clause,[],[f9566]) ).
fof(f11759,plain,
( spl6_374
| ~ spl6_6
| ~ spl6_279 ),
inference(avatar_split_clause,[],[f9446,f9429,f260,f11756]) ).
fof(f11756,plain,
( spl6_374
<=> sz10 = sdtasdt0(sz10,sK4(sz10,sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_374])]) ).
fof(f9429,plain,
( spl6_279
<=> doDivides0(sz10,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_279])]) ).
fof(f9446,plain,
( sz10 = sdtasdt0(sz10,sK4(sz10,sz10))
| ~ spl6_6
| ~ spl6_279 ),
inference(subsumption_resolution,[],[f9441,f262]) ).
fof(f9441,plain,
( sz10 = sdtasdt0(sz10,sK4(sz10,sz10))
| ~ aNaturalNumber0(sz10)
| ~ spl6_279 ),
inference(duplicate_literal_removal,[],[f9436]) ).
fof(f9436,plain,
( sz10 = sdtasdt0(sz10,sK4(sz10,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz10)
| ~ spl6_279 ),
inference(resolution,[],[f9431,f212]) ).
fof(f9431,plain,
( doDivides0(sz10,sz10)
| ~ spl6_279 ),
inference(avatar_component_clause,[],[f9429]) ).
fof(f11622,plain,
( ~ spl6_373
| ~ spl6_2
| ~ spl6_4
| spl6_9
| ~ spl6_10
| ~ spl6_14
| spl6_115
| ~ spl6_365 ),
inference(avatar_split_clause,[],[f11566,f11403,f1488,f299,f280,f275,f250,f240,f11618]) ).
fof(f11618,plain,
( spl6_373
<=> xq = sK4(xp,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_373])]) ).
fof(f280,plain,
( spl6_10
<=> doDivides0(xp,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_10])]) ).
fof(f299,plain,
( spl6_14
<=> xq = sdtsldt0(xn,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_14])]) ).
fof(f1488,plain,
( spl6_115
<=> xn = xp ),
introduced(avatar_definition,[new_symbols(naming,[spl6_115])]) ).
fof(f11403,plain,
( spl6_365
<=> xp = sdtasdt0(xp,sK4(xp,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_365])]) ).
fof(f11566,plain,
( xq != sK4(xp,xp)
| ~ spl6_2
| ~ spl6_4
| spl6_9
| ~ spl6_10
| ~ spl6_14
| spl6_115
| ~ spl6_365 ),
inference(subsumption_resolution,[],[f11547,f1489]) ).
fof(f1489,plain,
( xn != xp
| spl6_115 ),
inference(avatar_component_clause,[],[f1488]) ).
fof(f11547,plain,
( xn = xp
| xq != sK4(xp,xp)
| ~ spl6_2
| ~ spl6_4
| spl6_9
| ~ spl6_10
| ~ spl6_14
| ~ spl6_365 ),
inference(superposition,[],[f6549,f11405]) ).
fof(f11405,plain,
( xp = sdtasdt0(xp,sK4(xp,xp))
| ~ spl6_365 ),
inference(avatar_component_clause,[],[f11403]) ).
fof(f6549,plain,
( ! [X0] :
( xn = sdtasdt0(xp,X0)
| xq != X0 )
| ~ spl6_2
| ~ spl6_4
| spl6_9
| ~ spl6_10
| ~ spl6_14 ),
inference(subsumption_resolution,[],[f6548,f252]) ).
fof(f6548,plain,
( ! [X0] :
( xq != X0
| xn = sdtasdt0(xp,X0)
| ~ aNaturalNumber0(xp) )
| ~ spl6_2
| spl6_9
| ~ spl6_10
| ~ spl6_14 ),
inference(subsumption_resolution,[],[f6547,f242]) ).
fof(f6547,plain,
( ! [X0] :
( xq != X0
| xn = sdtasdt0(xp,X0)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xp) )
| spl6_9
| ~ spl6_10
| ~ spl6_14 ),
inference(subsumption_resolution,[],[f6546,f277]) ).
fof(f6546,plain,
( ! [X0] :
( xq != X0
| xn = sdtasdt0(xp,X0)
| sz00 = xp
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xp) )
| ~ spl6_10
| ~ spl6_14 ),
inference(subsumption_resolution,[],[f6544,f282]) ).
fof(f282,plain,
( doDivides0(xp,xn)
| ~ spl6_10 ),
inference(avatar_component_clause,[],[f280]) ).
fof(f6544,plain,
( ! [X0] :
( xq != X0
| xn = sdtasdt0(xp,X0)
| ~ doDivides0(xp,xn)
| sz00 = xp
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xp) )
| ~ spl6_14 ),
inference(superposition,[],[f207,f301]) ).
fof(f301,plain,
( xq = sdtsldt0(xn,xp)
| ~ spl6_14 ),
inference(avatar_component_clause,[],[f299]) ).
fof(f207,plain,
! [X2,X0,X1] :
( sdtsldt0(X1,X0) != X2
| sdtasdt0(X0,X2) = X1
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f136,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,[],[f135]) ).
fof(f135,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtsldt0(X1,X0) = X2
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
& ( ( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) )
| sdtsldt0(X1,X0) != X2 ) )
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(nnf_transformation,[],[f93]) ).
fof(f93,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,[],[f92]) ).
fof(f92,plain,
! [X0,X1] :
( ! [X2] :
( sdtsldt0(X1,X0) = X2
<=> ( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(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.7LS3zoPI9a/Vampire---4.8_3333',mDefQuot) ).
fof(f11621,plain,
( ~ spl6_373
| ~ spl6_2
| ~ spl6_4
| spl6_9
| ~ spl6_10
| ~ spl6_14
| spl6_115
| ~ spl6_365 ),
inference(avatar_split_clause,[],[f11564,f11403,f1488,f299,f280,f275,f250,f240,f11618]) ).
fof(f11564,plain,
( xq != sK4(xp,xp)
| ~ spl6_2
| ~ spl6_4
| spl6_9
| ~ spl6_10
| ~ spl6_14
| spl6_115
| ~ spl6_365 ),
inference(subsumption_resolution,[],[f11545,f1489]) ).
fof(f11545,plain,
( xn = xp
| xq != sK4(xp,xp)
| ~ spl6_2
| ~ spl6_4
| spl6_9
| ~ spl6_10
| ~ spl6_14
| ~ spl6_365 ),
inference(superposition,[],[f11405,f6549]) ).
fof(f11590,plain,
( ~ spl6_372
| ~ spl6_4
| ~ spl6_5
| spl6_9
| ~ spl6_211
| ~ spl6_314
| ~ spl6_365 ),
inference(avatar_split_clause,[],[f11565,f11403,f9973,f4885,f275,f255,f250,f11586]) ).
fof(f11586,plain,
( spl6_372
<=> sz00 = sK4(xp,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_372])]) ).
fof(f4885,plain,
( spl6_211
<=> doDivides0(xp,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_211])]) ).
fof(f9973,plain,
( spl6_314
<=> sz00 = sdtsldt0(sz00,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_314])]) ).
fof(f11565,plain,
( sz00 != sK4(xp,xp)
| ~ spl6_4
| ~ spl6_5
| spl6_9
| ~ spl6_211
| ~ spl6_314
| ~ spl6_365 ),
inference(subsumption_resolution,[],[f11546,f277]) ).
fof(f11546,plain,
( sz00 = xp
| sz00 != sK4(xp,xp)
| ~ spl6_4
| ~ spl6_5
| spl6_9
| ~ spl6_211
| ~ spl6_314
| ~ spl6_365 ),
inference(superposition,[],[f9982,f11405]) ).
fof(f9982,plain,
( ! [X0] :
( sz00 = sdtasdt0(xp,X0)
| sz00 != X0 )
| ~ spl6_4
| ~ spl6_5
| spl6_9
| ~ spl6_211
| ~ spl6_314 ),
inference(subsumption_resolution,[],[f9981,f252]) ).
fof(f9981,plain,
( ! [X0] :
( sz00 != X0
| sz00 = sdtasdt0(xp,X0)
| ~ aNaturalNumber0(xp) )
| ~ spl6_5
| spl6_9
| ~ spl6_211
| ~ spl6_314 ),
inference(subsumption_resolution,[],[f9980,f257]) ).
fof(f9980,plain,
( ! [X0] :
( sz00 != X0
| sz00 = sdtasdt0(xp,X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp) )
| spl6_9
| ~ spl6_211
| ~ spl6_314 ),
inference(subsumption_resolution,[],[f9979,f277]) ).
fof(f9979,plain,
( ! [X0] :
( sz00 != X0
| sz00 = sdtasdt0(xp,X0)
| sz00 = xp
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp) )
| ~ spl6_211
| ~ spl6_314 ),
inference(subsumption_resolution,[],[f9977,f4887]) ).
fof(f4887,plain,
( doDivides0(xp,sz00)
| ~ spl6_211 ),
inference(avatar_component_clause,[],[f4885]) ).
fof(f9977,plain,
( ! [X0] :
( sz00 != X0
| sz00 = sdtasdt0(xp,X0)
| ~ doDivides0(xp,sz00)
| sz00 = xp
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp) )
| ~ spl6_314 ),
inference(superposition,[],[f207,f9975]) ).
fof(f9975,plain,
( sz00 = sdtsldt0(sz00,xp)
| ~ spl6_314 ),
inference(avatar_component_clause,[],[f9973]) ).
fof(f11589,plain,
( ~ spl6_372
| ~ spl6_4
| ~ spl6_5
| spl6_9
| ~ spl6_211
| ~ spl6_314
| ~ spl6_365 ),
inference(avatar_split_clause,[],[f11563,f11403,f9973,f4885,f275,f255,f250,f11586]) ).
fof(f11563,plain,
( sz00 != sK4(xp,xp)
| ~ spl6_4
| ~ spl6_5
| spl6_9
| ~ spl6_211
| ~ spl6_314
| ~ spl6_365 ),
inference(subsumption_resolution,[],[f11544,f277]) ).
fof(f11544,plain,
( sz00 = xp
| sz00 != sK4(xp,xp)
| ~ spl6_4
| ~ spl6_5
| spl6_9
| ~ spl6_211
| ~ spl6_314
| ~ spl6_365 ),
inference(superposition,[],[f11405,f9982]) ).
fof(f11543,plain,
( ~ spl6_371
| ~ spl6_3
| ~ spl6_5
| spl6_8
| ~ spl6_232
| ~ spl6_252
| ~ spl6_364 ),
inference(avatar_split_clause,[],[f11519,f11398,f6982,f5886,f270,f255,f245,f11539]) ).
fof(f11539,plain,
( spl6_371
<=> sz00 = sK4(xm,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_371])]) ).
fof(f270,plain,
( spl6_8
<=> sz00 = xm ),
introduced(avatar_definition,[new_symbols(naming,[spl6_8])]) ).
fof(f5886,plain,
( spl6_232
<=> doDivides0(xm,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_232])]) ).
fof(f6982,plain,
( spl6_252
<=> sz00 = sdtsldt0(sz00,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_252])]) ).
fof(f11398,plain,
( spl6_364
<=> xm = sdtasdt0(xm,sK4(xm,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_364])]) ).
fof(f11519,plain,
( sz00 != sK4(xm,xm)
| ~ spl6_3
| ~ spl6_5
| spl6_8
| ~ spl6_232
| ~ spl6_252
| ~ spl6_364 ),
inference(subsumption_resolution,[],[f11502,f272]) ).
fof(f272,plain,
( sz00 != xm
| spl6_8 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f11502,plain,
( sz00 = xm
| sz00 != sK4(xm,xm)
| ~ spl6_3
| ~ spl6_5
| spl6_8
| ~ spl6_232
| ~ spl6_252
| ~ spl6_364 ),
inference(superposition,[],[f6991,f11400]) ).
fof(f11400,plain,
( xm = sdtasdt0(xm,sK4(xm,xm))
| ~ spl6_364 ),
inference(avatar_component_clause,[],[f11398]) ).
fof(f6991,plain,
( ! [X0] :
( sz00 = sdtasdt0(xm,X0)
| sz00 != X0 )
| ~ spl6_3
| ~ spl6_5
| spl6_8
| ~ spl6_232
| ~ spl6_252 ),
inference(subsumption_resolution,[],[f6990,f247]) ).
fof(f6990,plain,
( ! [X0] :
( sz00 != X0
| sz00 = sdtasdt0(xm,X0)
| ~ aNaturalNumber0(xm) )
| ~ spl6_5
| spl6_8
| ~ spl6_232
| ~ spl6_252 ),
inference(subsumption_resolution,[],[f6989,f257]) ).
fof(f6989,plain,
( ! [X0] :
( sz00 != X0
| sz00 = sdtasdt0(xm,X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) )
| spl6_8
| ~ spl6_232
| ~ spl6_252 ),
inference(subsumption_resolution,[],[f6988,f272]) ).
fof(f6988,plain,
( ! [X0] :
( sz00 != X0
| sz00 = sdtasdt0(xm,X0)
| sz00 = xm
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) )
| ~ spl6_232
| ~ spl6_252 ),
inference(subsumption_resolution,[],[f6986,f5888]) ).
fof(f5888,plain,
( doDivides0(xm,sz00)
| ~ spl6_232 ),
inference(avatar_component_clause,[],[f5886]) ).
fof(f6986,plain,
( ! [X0] :
( sz00 != X0
| sz00 = sdtasdt0(xm,X0)
| ~ doDivides0(xm,sz00)
| sz00 = xm
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) )
| ~ spl6_252 ),
inference(superposition,[],[f207,f6984]) ).
fof(f6984,plain,
( sz00 = sdtsldt0(sz00,xm)
| ~ spl6_252 ),
inference(avatar_component_clause,[],[f6982]) ).
fof(f11542,plain,
( ~ spl6_371
| ~ spl6_3
| ~ spl6_5
| spl6_8
| ~ spl6_232
| ~ spl6_252
| ~ spl6_364 ),
inference(avatar_split_clause,[],[f11518,f11398,f6982,f5886,f270,f255,f245,f11539]) ).
fof(f11518,plain,
( sz00 != sK4(xm,xm)
| ~ spl6_3
| ~ spl6_5
| spl6_8
| ~ spl6_232
| ~ spl6_252
| ~ spl6_364 ),
inference(subsumption_resolution,[],[f11501,f272]) ).
fof(f11501,plain,
( sz00 = xm
| sz00 != sK4(xm,xm)
| ~ spl6_3
| ~ spl6_5
| spl6_8
| ~ spl6_232
| ~ spl6_252
| ~ spl6_364 ),
inference(superposition,[],[f11400,f6991]) ).
fof(f11457,plain,
( spl6_370
| ~ spl6_4
| ~ spl6_5
| ~ spl6_281 ),
inference(avatar_split_clause,[],[f9561,f9549,f255,f250,f11454]) ).
fof(f11454,plain,
( spl6_370
<=> xp = sdtpldt0(sz00,sK5(sz00,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_370])]) ).
fof(f9549,plain,
( spl6_281
<=> sdtlseqdt0(sz00,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_281])]) ).
fof(f9561,plain,
( xp = sdtpldt0(sz00,sK5(sz00,xp))
| ~ spl6_4
| ~ spl6_5
| ~ spl6_281 ),
inference(subsumption_resolution,[],[f9560,f257]) ).
fof(f9560,plain,
( xp = sdtpldt0(sz00,sK5(sz00,xp))
| ~ aNaturalNumber0(sz00)
| ~ spl6_4
| ~ spl6_281 ),
inference(subsumption_resolution,[],[f9556,f252]) ).
fof(f9556,plain,
( xp = sdtpldt0(sz00,sK5(sz00,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ spl6_281 ),
inference(resolution,[],[f9551,f215]) ).
fof(f9551,plain,
( sdtlseqdt0(sz00,xp)
| ~ spl6_281 ),
inference(avatar_component_clause,[],[f9549]) ).
fof(f11452,plain,
( spl6_369
| ~ spl6_4
| ~ spl6_6
| ~ spl6_278 ),
inference(avatar_split_clause,[],[f9427,f9324,f260,f250,f11449]) ).
fof(f11449,plain,
( spl6_369
<=> xp = sdtasdt0(sz10,sK4(sz10,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_369])]) ).
fof(f9324,plain,
( spl6_278
<=> doDivides0(sz10,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_278])]) ).
fof(f9427,plain,
( xp = sdtasdt0(sz10,sK4(sz10,xp))
| ~ spl6_4
| ~ spl6_6
| ~ spl6_278 ),
inference(subsumption_resolution,[],[f9426,f262]) ).
fof(f9426,plain,
( xp = sdtasdt0(sz10,sK4(sz10,xp))
| ~ aNaturalNumber0(sz10)
| ~ spl6_4
| ~ spl6_278 ),
inference(subsumption_resolution,[],[f9418,f252]) ).
fof(f9418,plain,
( xp = sdtasdt0(sz10,sK4(sz10,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz10)
| ~ spl6_278 ),
inference(resolution,[],[f9326,f212]) ).
fof(f9326,plain,
( doDivides0(sz10,xp)
| ~ spl6_278 ),
inference(avatar_component_clause,[],[f9324]) ).
fof(f11421,plain,
( spl6_368
| ~ spl6_3
| ~ spl6_6
| ~ spl6_277 ),
inference(avatar_split_clause,[],[f9413,f9318,f260,f245,f11418]) ).
fof(f11418,plain,
( spl6_368
<=> xm = sdtasdt0(sz10,sK4(sz10,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_368])]) ).
fof(f9318,plain,
( spl6_277
<=> doDivides0(sz10,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_277])]) ).
fof(f9413,plain,
( xm = sdtasdt0(sz10,sK4(sz10,xm))
| ~ spl6_3
| ~ spl6_6
| ~ spl6_277 ),
inference(subsumption_resolution,[],[f9412,f262]) ).
fof(f9412,plain,
( xm = sdtasdt0(sz10,sK4(sz10,xm))
| ~ aNaturalNumber0(sz10)
| ~ spl6_3
| ~ spl6_277 ),
inference(subsumption_resolution,[],[f9404,f247]) ).
fof(f9404,plain,
( xm = sdtasdt0(sz10,sK4(sz10,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz10)
| ~ spl6_277 ),
inference(resolution,[],[f9320,f212]) ).
fof(f9320,plain,
( doDivides0(sz10,xm)
| ~ spl6_277 ),
inference(avatar_component_clause,[],[f9318]) ).
fof(f11416,plain,
( spl6_367
| ~ spl6_5
| ~ spl6_276 ),
inference(avatar_split_clause,[],[f9400,f9312,f255,f11413]) ).
fof(f11413,plain,
( spl6_367
<=> sz00 = sdtasdt0(sz00,sK4(sz00,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_367])]) ).
fof(f9312,plain,
( spl6_276
<=> doDivides0(sz00,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_276])]) ).
fof(f9400,plain,
( sz00 = sdtasdt0(sz00,sK4(sz00,sz00))
| ~ spl6_5
| ~ spl6_276 ),
inference(subsumption_resolution,[],[f9397,f257]) ).
fof(f9397,plain,
( sz00 = sdtasdt0(sz00,sK4(sz00,sz00))
| ~ aNaturalNumber0(sz00)
| ~ spl6_276 ),
inference(duplicate_literal_removal,[],[f9393]) ).
fof(f9393,plain,
( sz00 = sdtasdt0(sz00,sK4(sz00,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz00)
| ~ spl6_276 ),
inference(resolution,[],[f9314,f212]) ).
fof(f9314,plain,
( doDivides0(sz00,sz00)
| ~ spl6_276 ),
inference(avatar_component_clause,[],[f9312]) ).
fof(f11411,plain,
( spl6_366
| ~ spl6_49 ),
inference(avatar_split_clause,[],[f9378,f561,f11408]) ).
fof(f11408,plain,
( spl6_366
<=> xq = sdtpldt0(xq,sK5(xq,xq)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_366])]) ).
fof(f9378,plain,
( xq = sdtpldt0(xq,sK5(xq,xq))
| ~ spl6_49 ),
inference(resolution,[],[f2086,f562]) ).
fof(f2086,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sK5(X0,X0)) = X0 ),
inference(duplicate_literal_removal,[],[f2062]) ).
fof(f2062,plain,
! [X0] :
( sdtpldt0(X0,sK5(X0,X0)) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f215,f163]) ).
fof(f163,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,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.7LS3zoPI9a/Vampire---4.8_3333',mLERefl) ).
fof(f11406,plain,
( spl6_365
| ~ spl6_4
| ~ spl6_275 ),
inference(avatar_split_clause,[],[f9367,f9307,f250,f11403]) ).
fof(f9307,plain,
( spl6_275
<=> doDivides0(xp,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_275])]) ).
fof(f9367,plain,
( xp = sdtasdt0(xp,sK4(xp,xp))
| ~ spl6_4
| ~ spl6_275 ),
inference(subsumption_resolution,[],[f9362,f252]) ).
fof(f9362,plain,
( xp = sdtasdt0(xp,sK4(xp,xp))
| ~ aNaturalNumber0(xp)
| ~ spl6_275 ),
inference(duplicate_literal_removal,[],[f9358]) ).
fof(f9358,plain,
( xp = sdtasdt0(xp,sK4(xp,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xp)
| ~ spl6_275 ),
inference(resolution,[],[f9309,f212]) ).
fof(f9309,plain,
( doDivides0(xp,xp)
| ~ spl6_275 ),
inference(avatar_component_clause,[],[f9307]) ).
fof(f11401,plain,
( spl6_364
| ~ spl6_3
| ~ spl6_274 ),
inference(avatar_split_clause,[],[f9353,f9302,f245,f11398]) ).
fof(f9302,plain,
( spl6_274
<=> doDivides0(xm,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_274])]) ).
fof(f9353,plain,
( xm = sdtasdt0(xm,sK4(xm,xm))
| ~ spl6_3
| ~ spl6_274 ),
inference(subsumption_resolution,[],[f9348,f247]) ).
fof(f9348,plain,
( xm = sdtasdt0(xm,sK4(xm,xm))
| ~ aNaturalNumber0(xm)
| ~ spl6_274 ),
inference(duplicate_literal_removal,[],[f9344]) ).
fof(f9344,plain,
( xm = sdtasdt0(xm,sK4(xm,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xm)
| ~ spl6_274 ),
inference(resolution,[],[f9304,f212]) ).
fof(f9304,plain,
( doDivides0(xm,xm)
| ~ spl6_274 ),
inference(avatar_component_clause,[],[f9302]) ).
fof(f11396,plain,
( spl6_363
| ~ spl6_2
| ~ spl6_273 ),
inference(avatar_split_clause,[],[f9340,f9297,f240,f11393]) ).
fof(f11393,plain,
( spl6_363
<=> xn = sdtasdt0(xn,sK4(xn,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_363])]) ).
fof(f9297,plain,
( spl6_273
<=> doDivides0(xn,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_273])]) ).
fof(f9340,plain,
( xn = sdtasdt0(xn,sK4(xn,xn))
| ~ spl6_2
| ~ spl6_273 ),
inference(subsumption_resolution,[],[f9335,f242]) ).
fof(f9335,plain,
( xn = sdtasdt0(xn,sK4(xn,xn))
| ~ aNaturalNumber0(xn)
| ~ spl6_273 ),
inference(duplicate_literal_removal,[],[f9331]) ).
fof(f9331,plain,
( xn = sdtasdt0(xn,sK4(xn,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xn)
| ~ spl6_273 ),
inference(resolution,[],[f9299,f212]) ).
fof(f9299,plain,
( doDivides0(xn,xn)
| ~ spl6_273 ),
inference(avatar_component_clause,[],[f9297]) ).
fof(f11391,plain,
( spl6_362
| ~ spl6_4
| ~ spl6_48
| ~ spl6_61
| ~ spl6_75 ),
inference(avatar_split_clause,[],[f9269,f958,f646,f551,f250,f11386]) ).
fof(f11386,plain,
( spl6_362
<=> doDivides0(sdtasdt0(xn,xn),sdtasdt0(xn,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_362])]) ).
fof(f958,plain,
( spl6_75
<=> sdtasdt0(xn,xn) = sdtasdt0(sdtasdt0(xm,xm),xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_75])]) ).
fof(f9269,plain,
( doDivides0(sdtasdt0(xn,xn),sdtasdt0(xn,xn))
| ~ spl6_4
| ~ spl6_48
| ~ spl6_61
| ~ spl6_75 ),
inference(forward_demodulation,[],[f9268,f647]) ).
fof(f9268,plain,
( doDivides0(sdtasdt0(xm,xm),sdtasdt0(xn,xn))
| ~ spl6_4
| ~ spl6_48
| ~ spl6_75 ),
inference(subsumption_resolution,[],[f9267,f553]) ).
fof(f9267,plain,
( doDivides0(sdtasdt0(xm,xm),sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ~ spl6_4
| ~ spl6_75 ),
inference(subsumption_resolution,[],[f9082,f252]) ).
fof(f9082,plain,
( doDivides0(sdtasdt0(xm,xm),sdtasdt0(xn,xn))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ~ spl6_75 ),
inference(superposition,[],[f2005,f960]) ).
fof(f960,plain,
( sdtasdt0(xn,xn) = sdtasdt0(sdtasdt0(xm,xm),xp)
| ~ spl6_75 ),
inference(avatar_component_clause,[],[f958]) ).
fof(f11390,plain,
( spl6_362
| ~ spl6_6
| ~ spl6_52
| ~ spl6_63 ),
inference(avatar_split_clause,[],[f9157,f656,f589,f260,f11386]) ).
fof(f656,plain,
( spl6_63
<=> sdtasdt0(xn,xn) = sdtasdt0(sdtasdt0(xn,xn),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_63])]) ).
fof(f9157,plain,
( doDivides0(sdtasdt0(xn,xn),sdtasdt0(xn,xn))
| ~ spl6_6
| ~ spl6_52
| ~ spl6_63 ),
inference(subsumption_resolution,[],[f9156,f591]) ).
fof(f9156,plain,
( doDivides0(sdtasdt0(xn,xn),sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ spl6_6
| ~ spl6_63 ),
inference(subsumption_resolution,[],[f9026,f262]) ).
fof(f9026,plain,
( doDivides0(sdtasdt0(xn,xn),sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ spl6_63 ),
inference(superposition,[],[f2005,f658]) ).
fof(f658,plain,
( sdtasdt0(xn,xn) = sdtasdt0(sdtasdt0(xn,xn),sz10)
| ~ spl6_63 ),
inference(avatar_component_clause,[],[f656]) ).
fof(f11389,plain,
( spl6_362
| ~ spl6_6
| ~ spl6_48
| ~ spl6_58
| ~ spl6_61 ),
inference(avatar_split_clause,[],[f9155,f646,f626,f551,f260,f11386]) ).
fof(f626,plain,
( spl6_58
<=> sdtasdt0(xm,xm) = sdtasdt0(sdtasdt0(xm,xm),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_58])]) ).
fof(f9155,plain,
( doDivides0(sdtasdt0(xn,xn),sdtasdt0(xn,xn))
| ~ spl6_6
| ~ spl6_48
| ~ spl6_58
| ~ spl6_61 ),
inference(forward_demodulation,[],[f9154,f647]) ).
fof(f9154,plain,
( doDivides0(sdtasdt0(xm,xm),sdtasdt0(xm,xm))
| ~ spl6_6
| ~ spl6_48
| ~ spl6_58 ),
inference(subsumption_resolution,[],[f9153,f553]) ).
fof(f9153,plain,
( doDivides0(sdtasdt0(xm,xm),sdtasdt0(xm,xm))
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ~ spl6_6
| ~ spl6_58 ),
inference(subsumption_resolution,[],[f9025,f262]) ).
fof(f9025,plain,
( doDivides0(sdtasdt0(xm,xm),sdtasdt0(xm,xm))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ~ spl6_58 ),
inference(superposition,[],[f2005,f628]) ).
fof(f628,plain,
( sdtasdt0(xm,xm) = sdtasdt0(sdtasdt0(xm,xm),sz10)
| ~ spl6_58 ),
inference(avatar_component_clause,[],[f626]) ).
fof(f11358,plain,
( spl6_361
| ~ spl6_6 ),
inference(avatar_split_clause,[],[f9369,f260,f11355]) ).
fof(f11355,plain,
( spl6_361
<=> sz10 = sdtpldt0(sz10,sK5(sz10,sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_361])]) ).
fof(f9369,plain,
( sz10 = sdtpldt0(sz10,sK5(sz10,sz10))
| ~ spl6_6 ),
inference(resolution,[],[f2086,f262]) ).
fof(f11249,plain,
( spl6_360
| ~ spl6_4 ),
inference(avatar_split_clause,[],[f9377,f250,f11246]) ).
fof(f11246,plain,
( spl6_360
<=> xp = sdtpldt0(xp,sK5(xp,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_360])]) ).
fof(f9377,plain,
( xp = sdtpldt0(xp,sK5(xp,xp))
| ~ spl6_4 ),
inference(resolution,[],[f2086,f252]) ).
fof(f11244,plain,
( spl6_359
| ~ spl6_3 ),
inference(avatar_split_clause,[],[f9376,f245,f11241]) ).
fof(f11241,plain,
( spl6_359
<=> xm = sdtpldt0(xm,sK5(xm,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_359])]) ).
fof(f9376,plain,
( xm = sdtpldt0(xm,sK5(xm,xm))
| ~ spl6_3 ),
inference(resolution,[],[f2086,f247]) ).
fof(f11239,plain,
( spl6_358
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f9375,f240,f11236]) ).
fof(f11236,plain,
( spl6_358
<=> xn = sdtpldt0(xn,sK5(xn,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_358])]) ).
fof(f9375,plain,
( xn = sdtpldt0(xn,sK5(xn,xn))
| ~ spl6_2 ),
inference(resolution,[],[f2086,f242]) ).
fof(f11115,plain,
( spl6_357
| ~ spl6_3
| ~ spl6_150
| ~ spl6_354 ),
inference(avatar_split_clause,[],[f11061,f11051,f2436,f245,f11112]) ).
fof(f11112,plain,
( spl6_357
<=> xm = sdtpldt0(sK3(xp),sK5(sK3(xp),xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_357])]) ).
fof(f2436,plain,
( spl6_150
<=> aNaturalNumber0(sK3(xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_150])]) ).
fof(f11051,plain,
( spl6_354
<=> sdtlseqdt0(sK3(xp),xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_354])]) ).
fof(f11061,plain,
( xm = sdtpldt0(sK3(xp),sK5(sK3(xp),xm))
| ~ spl6_3
| ~ spl6_150
| ~ spl6_354 ),
inference(subsumption_resolution,[],[f11060,f2437]) ).
fof(f2437,plain,
( aNaturalNumber0(sK3(xp))
| ~ spl6_150 ),
inference(avatar_component_clause,[],[f2436]) ).
fof(f11060,plain,
( xm = sdtpldt0(sK3(xp),sK5(sK3(xp),xm))
| ~ aNaturalNumber0(sK3(xp))
| ~ spl6_3
| ~ spl6_354 ),
inference(subsumption_resolution,[],[f11056,f247]) ).
fof(f11056,plain,
( xm = sdtpldt0(sK3(xp),sK5(sK3(xp),xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK3(xp))
| ~ spl6_354 ),
inference(resolution,[],[f11053,f215]) ).
fof(f11053,plain,
( sdtlseqdt0(sK3(xp),xm)
| ~ spl6_354 ),
inference(avatar_component_clause,[],[f11051]) ).
fof(f11072,plain,
( ~ spl6_355
| spl6_356
| ~ spl6_3
| ~ spl6_150
| ~ spl6_354 ),
inference(avatar_split_clause,[],[f11063,f11051,f2436,f245,f11069,f11065]) ).
fof(f11065,plain,
( spl6_355
<=> sdtlseqdt0(xm,sK3(xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_355])]) ).
fof(f11069,plain,
( spl6_356
<=> xm = sK3(xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_356])]) ).
fof(f11063,plain,
( xm = sK3(xp)
| ~ sdtlseqdt0(xm,sK3(xp))
| ~ spl6_3
| ~ spl6_150
| ~ spl6_354 ),
inference(subsumption_resolution,[],[f11062,f247]) ).
fof(f11062,plain,
( xm = sK3(xp)
| ~ sdtlseqdt0(xm,sK3(xp))
| ~ aNaturalNumber0(xm)
| ~ spl6_150
| ~ spl6_354 ),
inference(subsumption_resolution,[],[f11057,f2437]) ).
fof(f11057,plain,
( xm = sK3(xp)
| ~ sdtlseqdt0(xm,sK3(xp))
| ~ aNaturalNumber0(sK3(xp))
| ~ aNaturalNumber0(xm)
| ~ spl6_354 ),
inference(resolution,[],[f11053,f210]) ).
fof(f11054,plain,
( spl6_354
| ~ spl6_3
| ~ spl6_4
| spl6_9
| spl6_116
| ~ spl6_150
| ~ spl6_171 ),
inference(avatar_split_clause,[],[f11049,f3107,f2436,f1492,f275,f250,f245,f11051]) ).
fof(f3107,plain,
( spl6_171
<=> sdtlseqdt0(xp,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_171])]) ).
fof(f11049,plain,
( sdtlseqdt0(sK3(xp),xm)
| ~ spl6_3
| ~ spl6_4
| spl6_9
| spl6_116
| ~ spl6_150
| ~ spl6_171 ),
inference(subsumption_resolution,[],[f11048,f2437]) ).
fof(f11048,plain,
( sdtlseqdt0(sK3(xp),xm)
| ~ aNaturalNumber0(sK3(xp))
| ~ spl6_3
| ~ spl6_4
| spl6_9
| spl6_116
| ~ spl6_171 ),
inference(subsumption_resolution,[],[f11047,f1493]) ).
fof(f11047,plain,
( sz10 = xp
| sdtlseqdt0(sK3(xp),xm)
| ~ aNaturalNumber0(sK3(xp))
| ~ spl6_3
| ~ spl6_4
| spl6_9
| ~ spl6_171 ),
inference(subsumption_resolution,[],[f11046,f252]) ).
fof(f11046,plain,
( ~ aNaturalNumber0(xp)
| sz10 = xp
| sdtlseqdt0(sK3(xp),xm)
| ~ aNaturalNumber0(sK3(xp))
| ~ spl6_3
| ~ spl6_4
| spl6_9
| ~ spl6_171 ),
inference(subsumption_resolution,[],[f11038,f277]) ).
fof(f11038,plain,
( sz00 = xp
| ~ aNaturalNumber0(xp)
| sz10 = xp
| sdtlseqdt0(sK3(xp),xm)
| ~ aNaturalNumber0(sK3(xp))
| ~ spl6_3
| ~ spl6_4
| ~ spl6_171 ),
inference(resolution,[],[f1592,f3115]) ).
fof(f3115,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xp)
| sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X0) )
| ~ spl6_3
| ~ spl6_4
| ~ spl6_171 ),
inference(subsumption_resolution,[],[f3114,f252]) ).
fof(f3114,plain,
( ! [X0] :
( sdtlseqdt0(X0,xm)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) )
| ~ spl6_3
| ~ spl6_171 ),
inference(subsumption_resolution,[],[f3111,f247]) ).
fof(f3111,plain,
( ! [X0] :
( sdtlseqdt0(X0,xm)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) )
| ~ spl6_171 ),
inference(resolution,[],[f3109,f229]) ).
fof(f3109,plain,
( sdtlseqdt0(xp,xm)
| ~ spl6_171 ),
inference(avatar_component_clause,[],[f3107]) ).
fof(f1592,plain,
! [X1] :
( sdtlseqdt0(sK3(X1),X1)
| sz00 = X1
| ~ aNaturalNumber0(X1)
| sz10 = X1 ),
inference(subsumption_resolution,[],[f1584,f184]) ).
fof(f184,plain,
! [X0] :
( aNaturalNumber0(sK3(X0))
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
! [X0] :
( ( isPrime0(sK3(X0))
& doDivides0(sK3(X0),X0)
& aNaturalNumber0(sK3(X0)) )
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f67,f131]) ).
fof(f131,plain,
! [X0] :
( ? [X1] :
( isPrime0(X1)
& doDivides0(X1,X0)
& aNaturalNumber0(X1) )
=> ( isPrime0(sK3(X0))
& doDivides0(sK3(X0),X0)
& aNaturalNumber0(sK3(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f67,plain,
! [X0] :
( ? [X1] :
( isPrime0(X1)
& doDivides0(X1,X0)
& aNaturalNumber0(X1) )
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f66]) ).
fof(f66,plain,
! [X0] :
( ? [X1] :
( isPrime0(X1)
& doDivides0(X1,X0)
& aNaturalNumber0(X1) )
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0] :
( ( sz10 != X0
& sz00 != X0
& aNaturalNumber0(X0) )
=> ? [X1] :
( isPrime0(X1)
& doDivides0(X1,X0)
& aNaturalNumber0(X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.7LS3zoPI9a/Vampire---4.8_3333',mPrimDiv) ).
fof(f1584,plain,
! [X1] :
( sz00 = X1
| sdtlseqdt0(sK3(X1),X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sK3(X1))
| sz10 = X1 ),
inference(duplicate_literal_removal,[],[f1583]) ).
fof(f1583,plain,
! [X1] :
( sz00 = X1
| sdtlseqdt0(sK3(X1),X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sK3(X1))
| sz10 = X1
| sz00 = X1
| ~ aNaturalNumber0(X1) ),
inference(resolution,[],[f209,f185]) ).
fof(f185,plain,
! [X0] :
( doDivides0(sK3(X0),X0)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f209,plain,
! [X0,X1] :
( ~ doDivides0(X0,X1)
| sz00 = X1
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sz00 = X1
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f94]) ).
fof(f94,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sz00 = X1
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sz00 != X1
& doDivides0(X0,X1) )
=> sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.7LS3zoPI9a/Vampire---4.8_3333',mDivLE) ).
fof(f11032,plain,
( spl6_353
| ~ spl6_48
| ~ spl6_61
| ~ spl6_65
| ~ spl6_242
| ~ spl6_243 ),
inference(avatar_split_clause,[],[f10766,f6067,f6063,f666,f646,f551,f11028]) ).
fof(f11028,plain,
( spl6_353
<=> sz00 = sdtmndt0(sdtasdt0(xn,xn),sdtasdt0(xn,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_353])]) ).
fof(f666,plain,
( spl6_65
<=> sdtasdt0(xn,xn) = sdtpldt0(sdtasdt0(xn,xn),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_65])]) ).
fof(f6063,plain,
( spl6_242
<=> aNaturalNumber0(sK4(xm,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_242])]) ).
fof(f6067,plain,
( spl6_243
<=> sz00 = sK4(xm,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_243])]) ).
fof(f10766,plain,
( sz00 = sdtmndt0(sdtasdt0(xn,xn),sdtasdt0(xn,xn))
| ~ spl6_48
| ~ spl6_61
| ~ spl6_65
| ~ spl6_242
| ~ spl6_243 ),
inference(forward_demodulation,[],[f10765,f668]) ).
fof(f668,plain,
( sdtasdt0(xn,xn) = sdtpldt0(sdtasdt0(xn,xn),sz00)
| ~ spl6_65 ),
inference(avatar_component_clause,[],[f666]) ).
fof(f10765,plain,
( sz00 = sdtmndt0(sdtpldt0(sdtasdt0(xn,xn),sz00),sdtasdt0(xn,xn))
| ~ spl6_48
| ~ spl6_61
| ~ spl6_242
| ~ spl6_243 ),
inference(forward_demodulation,[],[f10745,f647]) ).
fof(f10745,plain,
( sz00 = sdtmndt0(sdtpldt0(sdtasdt0(xm,xm),sz00),sdtasdt0(xm,xm))
| ~ spl6_48
| ~ spl6_242
| ~ spl6_243 ),
inference(resolution,[],[f10663,f553]) ).
fof(f10663,plain,
( ! [X30] :
( ~ aNaturalNumber0(X30)
| sz00 = sdtmndt0(sdtpldt0(X30,sz00),X30) )
| ~ spl6_242
| ~ spl6_243 ),
inference(forward_demodulation,[],[f10660,f6069]) ).
fof(f6069,plain,
( sz00 = sK4(xm,sz00)
| ~ spl6_243 ),
inference(avatar_component_clause,[],[f6067]) ).
fof(f10660,plain,
( ! [X30] :
( sK4(xm,sz00) = sdtmndt0(sdtpldt0(X30,sK4(xm,sz00)),X30)
| ~ aNaturalNumber0(X30) )
| ~ spl6_242 ),
inference(resolution,[],[f4873,f6064]) ).
fof(f6064,plain,
( aNaturalNumber0(sK4(xm,sz00))
| ~ spl6_242 ),
inference(avatar_component_clause,[],[f6063]) ).
fof(f4873,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| sdtmndt0(sdtpldt0(X0,X1),X0) = X1
| ~ aNaturalNumber0(X0) ),
inference(subsumption_resolution,[],[f4802,f187]) ).
fof(f4802,plain,
! [X0,X1] :
( sdtmndt0(sdtpldt0(X0,X1),X0) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f4634]) ).
fof(f4634,plain,
! [X2,X0,X1] :
( sdtpldt0(X0,X2) != X1
| sdtmndt0(X1,X0) = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(subsumption_resolution,[],[f196,f216]) ).
fof(f216,plain,
! [X2,X0,X1] :
( sdtpldt0(X0,X2) != X1
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f144]) ).
fof(f196,plain,
! [X2,X0,X1] :
( sdtmndt0(X1,X0) = X2
| sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,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,[],[f133]) ).
fof(f133,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtmndt0(X1,X0) = X2
| sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
& ( ( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) )
| sdtmndt0(X1,X0) != X2 ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(nnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0,X1] :
( ! [X2] :
( sdtmndt0(X1,X0) = X2
<=> ( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( ! [X2] :
( sdtmndt0(X1,X0) = X2
<=> ( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(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.7LS3zoPI9a/Vampire---4.8_3333',mDefDiff) ).
fof(f11031,plain,
( spl6_353
| ~ spl6_52
| ~ spl6_65
| ~ spl6_242
| ~ spl6_243 ),
inference(avatar_split_clause,[],[f10764,f6067,f6063,f666,f589,f11028]) ).
fof(f10764,plain,
( sz00 = sdtmndt0(sdtasdt0(xn,xn),sdtasdt0(xn,xn))
| ~ spl6_52
| ~ spl6_65
| ~ spl6_242
| ~ spl6_243 ),
inference(forward_demodulation,[],[f10744,f668]) ).
fof(f10744,plain,
( sz00 = sdtmndt0(sdtpldt0(sdtasdt0(xn,xn),sz00),sdtasdt0(xn,xn))
| ~ spl6_52
| ~ spl6_242
| ~ spl6_243 ),
inference(resolution,[],[f10663,f591]) ).
fof(f10966,plain,
( ~ spl6_5
| spl6_352 ),
inference(avatar_contradiction_clause,[],[f10965]) ).
fof(f10965,plain,
( $false
| ~ spl6_5
| spl6_352 ),
inference(subsumption_resolution,[],[f10960,f257]) ).
fof(f10960,plain,
( ~ aNaturalNumber0(sz00)
| spl6_352 ),
inference(trivial_inequality_removal,[],[f10959]) ).
fof(f10959,plain,
( sz00 != sz00
| ~ aNaturalNumber0(sz00)
| spl6_352 ),
inference(duplicate_literal_removal,[],[f10958]) ).
fof(f10958,plain,
( sz00 != sz00
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz00)
| spl6_352 ),
inference(resolution,[],[f10947,f191]) ).
fof(f191,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| X0 != X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0,X1] :
( ( sdtlseqdt0(X1,X0)
& X0 != X1 )
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f76]) ).
fof(f76,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.7LS3zoPI9a/Vampire---4.8_3333',mLETotal) ).
fof(f10947,plain,
( ~ sdtlseqdt0(sz00,sz00)
| spl6_352 ),
inference(avatar_component_clause,[],[f10945]) ).
fof(f10945,plain,
( spl6_352
<=> sdtlseqdt0(sz00,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_352])]) ).
fof(f10964,plain,
( ~ spl6_5
| spl6_352 ),
inference(avatar_contradiction_clause,[],[f10963]) ).
fof(f10963,plain,
( $false
| ~ spl6_5
| spl6_352 ),
inference(subsumption_resolution,[],[f10955,f257]) ).
fof(f10955,plain,
( ~ aNaturalNumber0(sz00)
| spl6_352 ),
inference(resolution,[],[f10947,f163]) ).
fof(f10948,plain,
( ~ spl6_352
| ~ spl6_5
| spl6_350 ),
inference(avatar_split_clause,[],[f10941,f10931,f255,f10945]) ).
fof(f10931,plain,
( spl6_350
<=> aNaturalNumber0(sK5(sz00,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_350])]) ).
fof(f10941,plain,
( ~ sdtlseqdt0(sz00,sz00)
| ~ spl6_5
| spl6_350 ),
inference(subsumption_resolution,[],[f10940,f257]) ).
fof(f10940,plain,
( ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sz00)
| spl6_350 ),
inference(duplicate_literal_removal,[],[f10939]) ).
fof(f10939,plain,
( ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz00)
| spl6_350 ),
inference(resolution,[],[f10933,f214]) ).
fof(f214,plain,
! [X0,X1] :
( aNaturalNumber0(sK5(X0,X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f144]) ).
fof(f10933,plain,
( ~ aNaturalNumber0(sK5(sz00,sz00))
| spl6_350 ),
inference(avatar_component_clause,[],[f10931]) ).
fof(f10938,plain,
( ~ spl6_350
| spl6_351
| ~ spl6_5
| ~ spl6_331 ),
inference(avatar_split_clause,[],[f10455,f10433,f255,f10935,f10931]) ).
fof(f10935,plain,
( spl6_351
<=> sz00 = sK5(sz00,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_351])]) ).
fof(f10433,plain,
( spl6_331
<=> sz00 = sdtpldt0(sz00,sK5(sz00,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_331])]) ).
fof(f10455,plain,
( sz00 = sK5(sz00,sz00)
| ~ aNaturalNumber0(sK5(sz00,sz00))
| ~ spl6_5
| ~ spl6_331 ),
inference(subsumption_resolution,[],[f10454,f257]) ).
fof(f10454,plain,
( sz00 = sK5(sz00,sz00)
| ~ aNaturalNumber0(sK5(sz00,sz00))
| ~ aNaturalNumber0(sz00)
| ~ spl6_331 ),
inference(trivial_inequality_removal,[],[f10439]) ).
fof(f10439,plain,
( sz00 != sz00
| sz00 = sK5(sz00,sz00)
| ~ aNaturalNumber0(sK5(sz00,sz00))
| ~ aNaturalNumber0(sz00)
| ~ spl6_331 ),
inference(superposition,[],[f198,f10435]) ).
fof(f10435,plain,
( sz00 = sdtpldt0(sz00,sK5(sz00,sz00))
| ~ spl6_331 ),
inference(avatar_component_clause,[],[f10433]) ).
fof(f198,plain,
! [X0,X1] :
( sz00 != sdtpldt0(X0,X1)
| sz00 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0,X1] :
( ( sz00 = X1
& sz00 = X0 )
| sz00 != sdtpldt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f82]) ).
fof(f82,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.7LS3zoPI9a/Vampire---4.8_3333',mZeroAdd) ).
fof(f10894,plain,
( ~ spl6_349
| ~ spl6_52
| spl6_347 ),
inference(avatar_split_clause,[],[f10889,f10880,f589,f10891]) ).
fof(f10891,plain,
( spl6_349
<=> isPrime0(sdtasdt0(xn,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_349])]) ).
fof(f10880,plain,
( spl6_347
<=> sP0(sdtasdt0(xn,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_347])]) ).
fof(f10889,plain,
( ~ isPrime0(sdtasdt0(xn,xn))
| ~ spl6_52
| spl6_347 ),
inference(subsumption_resolution,[],[f10888,f591]) ).
fof(f10888,plain,
( ~ isPrime0(sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| spl6_347 ),
inference(resolution,[],[f10882,f320]) ).
fof(f320,plain,
! [X0] :
( sP0(X0)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f174,f183]) ).
fof(f183,plain,
! [X0] :
( sP1(X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0] :
( sP1(X0)
| ~ aNaturalNumber0(X0) ),
inference(definition_folding,[],[f65,f123,f122]) ).
fof(f122,plain,
! [X0] :
( sP0(X0)
<=> ( ! [X1] :
( X0 = X1
| sz10 = X1
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1) )
& sz10 != X0
& sz00 != X0 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f123,plain,
! [X0] :
( ( isPrime0(X0)
<=> sP0(X0) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f65,plain,
! [X0] :
( ( isPrime0(X0)
<=> ( ! [X1] :
( X0 = X1
| sz10 = X1
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1) )
& sz10 != X0
& sz00 != X0 ) )
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f64]) ).
fof(f64,plain,
! [X0] :
( ( isPrime0(X0)
<=> ( ! [X1] :
( X0 = X1
| sz10 = X1
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1) )
& sz10 != X0
& sz00 != X0 ) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( isPrime0(X0)
<=> ( ! [X1] :
( ( doDivides0(X1,X0)
& aNaturalNumber0(X1) )
=> ( X0 = X1
| sz10 = X1 ) )
& sz10 != X0
& sz00 != X0 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.7LS3zoPI9a/Vampire---4.8_3333',mDefPrime) ).
fof(f174,plain,
! [X0] :
( ~ sP1(X0)
| ~ isPrime0(X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0] :
( ( ( isPrime0(X0)
| ~ sP0(X0) )
& ( sP0(X0)
| ~ isPrime0(X0) ) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f123]) ).
fof(f10882,plain,
( ~ sP0(sdtasdt0(xn,xn))
| spl6_347 ),
inference(avatar_component_clause,[],[f10880]) ).
fof(f10887,plain,
( ~ spl6_347
| spl6_348
| ~ spl6_4
| ~ spl6_15
| spl6_116 ),
inference(avatar_split_clause,[],[f10809,f1492,f304,f250,f10884,f10880]) ).
fof(f10884,plain,
( spl6_348
<=> xp = sdtasdt0(xn,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_348])]) ).
fof(f304,plain,
( spl6_15
<=> doDivides0(xp,sdtasdt0(xn,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_15])]) ).
fof(f10809,plain,
( xp = sdtasdt0(xn,xn)
| ~ sP0(sdtasdt0(xn,xn))
| ~ spl6_4
| ~ spl6_15
| spl6_116 ),
inference(subsumption_resolution,[],[f1458,f1493]) ).
fof(f1458,plain,
( sz10 = xp
| xp = sdtasdt0(xn,xn)
| ~ sP0(sdtasdt0(xn,xn))
| ~ spl6_4
| ~ spl6_15 ),
inference(subsumption_resolution,[],[f1454,f252]) ).
fof(f1454,plain,
( sz10 = xp
| xp = sdtasdt0(xn,xn)
| ~ aNaturalNumber0(xp)
| ~ sP0(sdtasdt0(xn,xn))
| ~ spl6_15 ),
inference(resolution,[],[f178,f306]) ).
fof(f306,plain,
( doDivides0(xp,sdtasdt0(xn,xn))
| ~ spl6_15 ),
inference(avatar_component_clause,[],[f304]) ).
fof(f178,plain,
! [X2,X0] :
( ~ doDivides0(X2,X0)
| sz10 = X2
| X0 = X2
| ~ aNaturalNumber0(X2)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0] :
( ( sP0(X0)
| ( sK2(X0) != X0
& sz10 != sK2(X0)
& doDivides0(sK2(X0),X0)
& aNaturalNumber0(sK2(X0)) )
| sz10 = X0
| sz00 = X0 )
& ( ( ! [X2] :
( X0 = X2
| sz10 = X2
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(X2) )
& sz10 != X0
& sz00 != X0 )
| ~ sP0(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f128,f129]) ).
fof(f129,plain,
! [X0] :
( ? [X1] :
( X0 != X1
& sz10 != X1
& doDivides0(X1,X0)
& aNaturalNumber0(X1) )
=> ( sK2(X0) != X0
& sz10 != sK2(X0)
& doDivides0(sK2(X0),X0)
& aNaturalNumber0(sK2(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f128,plain,
! [X0] :
( ( sP0(X0)
| ? [X1] :
( X0 != X1
& sz10 != X1
& doDivides0(X1,X0)
& aNaturalNumber0(X1) )
| sz10 = X0
| sz00 = X0 )
& ( ( ! [X2] :
( X0 = X2
| sz10 = X2
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(X2) )
& sz10 != X0
& sz00 != X0 )
| ~ sP0(X0) ) ),
inference(rectify,[],[f127]) ).
fof(f127,plain,
! [X0] :
( ( sP0(X0)
| ? [X1] :
( X0 != X1
& sz10 != X1
& doDivides0(X1,X0)
& aNaturalNumber0(X1) )
| sz10 = X0
| sz00 = X0 )
& ( ( ! [X1] :
( X0 = X1
| sz10 = X1
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1) )
& sz10 != X0
& sz00 != X0 )
| ~ sP0(X0) ) ),
inference(flattening,[],[f126]) ).
fof(f126,plain,
! [X0] :
( ( sP0(X0)
| ? [X1] :
( X0 != X1
& sz10 != X1
& doDivides0(X1,X0)
& aNaturalNumber0(X1) )
| sz10 = X0
| sz00 = X0 )
& ( ( ! [X1] :
( X0 = X1
| sz10 = X1
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1) )
& sz10 != X0
& sz00 != X0 )
| ~ sP0(X0) ) ),
inference(nnf_transformation,[],[f122]) ).
fof(f10878,plain,
( spl6_346
| ~ spl6_242
| ~ spl6_243
| ~ spl6_259
| ~ spl6_264 ),
inference(avatar_split_clause,[],[f10775,f8691,f8430,f6067,f6063,f10875]) ).
fof(f10875,plain,
( spl6_346
<=> sz00 = sdtmndt0(sK3(xq),sK3(xq)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_346])]) ).
fof(f8430,plain,
( spl6_259
<=> aNaturalNumber0(sK3(xq)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_259])]) ).
fof(f8691,plain,
( spl6_264
<=> sK3(xq) = sdtpldt0(sK3(xq),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_264])]) ).
fof(f10775,plain,
( sz00 = sdtmndt0(sK3(xq),sK3(xq))
| ~ spl6_242
| ~ spl6_243
| ~ spl6_259
| ~ spl6_264 ),
inference(forward_demodulation,[],[f10758,f8693]) ).
fof(f8693,plain,
( sK3(xq) = sdtpldt0(sK3(xq),sz00)
| ~ spl6_264 ),
inference(avatar_component_clause,[],[f8691]) ).
fof(f10758,plain,
( sz00 = sdtmndt0(sdtpldt0(sK3(xq),sz00),sK3(xq))
| ~ spl6_242
| ~ spl6_243
| ~ spl6_259 ),
inference(resolution,[],[f10663,f8431]) ).
fof(f8431,plain,
( aNaturalNumber0(sK3(xq))
| ~ spl6_259 ),
inference(avatar_component_clause,[],[f8430]) ).
fof(f10873,plain,
( spl6_345
| ~ spl6_150
| ~ spl6_155
| ~ spl6_242
| ~ spl6_243 ),
inference(avatar_split_clause,[],[f10774,f6067,f6063,f2585,f2436,f10870]) ).
fof(f10870,plain,
( spl6_345
<=> sz00 = sdtmndt0(sK3(xp),sK3(xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_345])]) ).
fof(f2585,plain,
( spl6_155
<=> sK3(xp) = sdtpldt0(sK3(xp),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_155])]) ).
fof(f10774,plain,
( sz00 = sdtmndt0(sK3(xp),sK3(xp))
| ~ spl6_150
| ~ spl6_155
| ~ spl6_242
| ~ spl6_243 ),
inference(forward_demodulation,[],[f10757,f2587]) ).
fof(f2587,plain,
( sK3(xp) = sdtpldt0(sK3(xp),sz00)
| ~ spl6_155 ),
inference(avatar_component_clause,[],[f2585]) ).
fof(f10757,plain,
( sz00 = sdtmndt0(sdtpldt0(sK3(xp),sz00),sK3(xp))
| ~ spl6_150
| ~ spl6_242
| ~ spl6_243 ),
inference(resolution,[],[f10663,f2437]) ).
fof(f10868,plain,
( spl6_344
| ~ spl6_233
| ~ spl6_238
| ~ spl6_242
| ~ spl6_243 ),
inference(avatar_split_clause,[],[f10773,f6067,f6063,f6004,f5897,f10865]) ).
fof(f10865,plain,
( spl6_344
<=> sz00 = sdtmndt0(sK3(xm),sK3(xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_344])]) ).
fof(f6004,plain,
( spl6_238
<=> sK3(xm) = sdtpldt0(sK3(xm),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_238])]) ).
fof(f10773,plain,
( sz00 = sdtmndt0(sK3(xm),sK3(xm))
| ~ spl6_233
| ~ spl6_238
| ~ spl6_242
| ~ spl6_243 ),
inference(forward_demodulation,[],[f10756,f6006]) ).
fof(f6006,plain,
( sK3(xm) = sdtpldt0(sK3(xm),sz00)
| ~ spl6_238 ),
inference(avatar_component_clause,[],[f6004]) ).
fof(f10756,plain,
( sz00 = sdtmndt0(sdtpldt0(sK3(xm),sz00),sK3(xm))
| ~ spl6_233
| ~ spl6_242
| ~ spl6_243 ),
inference(resolution,[],[f10663,f5898]) ).
fof(f10863,plain,
( spl6_343
| ~ spl6_217
| ~ spl6_228
| ~ spl6_242
| ~ spl6_243 ),
inference(avatar_split_clause,[],[f10772,f6067,f6063,f5340,f5007,f10860]) ).
fof(f10860,plain,
( spl6_343
<=> sz00 = sdtmndt0(sK3(xn),sK3(xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_343])]) ).
fof(f5340,plain,
( spl6_228
<=> sK3(xn) = sdtpldt0(sK3(xn),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_228])]) ).
fof(f10772,plain,
( sz00 = sdtmndt0(sK3(xn),sK3(xn))
| ~ spl6_217
| ~ spl6_228
| ~ spl6_242
| ~ spl6_243 ),
inference(forward_demodulation,[],[f10755,f5342]) ).
fof(f5342,plain,
( sK3(xn) = sdtpldt0(sK3(xn),sz00)
| ~ spl6_228 ),
inference(avatar_component_clause,[],[f5340]) ).
fof(f10755,plain,
( sz00 = sdtmndt0(sdtpldt0(sK3(xn),sz00),sK3(xn))
| ~ spl6_217
| ~ spl6_242
| ~ spl6_243 ),
inference(resolution,[],[f10663,f5008]) ).
fof(f10858,plain,
( spl6_342
| ~ spl6_213
| ~ spl6_224
| ~ spl6_242
| ~ spl6_243 ),
inference(avatar_split_clause,[],[f10771,f6067,f6063,f5320,f4925,f10855]) ).
fof(f10855,plain,
( spl6_342
<=> sz00 = sdtmndt0(sK2(xn),sK2(xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_342])]) ).
fof(f5320,plain,
( spl6_224
<=> sK2(xn) = sdtpldt0(sK2(xn),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_224])]) ).
fof(f10771,plain,
( sz00 = sdtmndt0(sK2(xn),sK2(xn))
| ~ spl6_213
| ~ spl6_224
| ~ spl6_242
| ~ spl6_243 ),
inference(forward_demodulation,[],[f10753,f5322]) ).
fof(f5322,plain,
( sK2(xn) = sdtpldt0(sK2(xn),sz00)
| ~ spl6_224 ),
inference(avatar_component_clause,[],[f5320]) ).
fof(f10753,plain,
( sz00 = sdtmndt0(sdtpldt0(sK2(xn),sz00),sK2(xn))
| ~ spl6_213
| ~ spl6_242
| ~ spl6_243 ),
inference(resolution,[],[f10663,f4926]) ).
fof(f10808,plain,
( spl6_336
| ~ spl6_32
| ~ spl6_242
| ~ spl6_243 ),
inference(avatar_split_clause,[],[f10777,f6067,f6063,f415,f10779]) ).
fof(f10779,plain,
( spl6_336
<=> sz00 = sdtmndt0(sz00,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_336])]) ).
fof(f415,plain,
( spl6_32
<=> sz00 = sdtpldt0(sz00,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_32])]) ).
fof(f10777,plain,
( sz00 = sdtmndt0(sz00,sz00)
| ~ spl6_32
| ~ spl6_242
| ~ spl6_243 ),
inference(forward_demodulation,[],[f10776,f417]) ).
fof(f417,plain,
( sz00 = sdtpldt0(sz00,sz00)
| ~ spl6_32 ),
inference(avatar_component_clause,[],[f415]) ).
fof(f10776,plain,
( sz00 = sdtmndt0(sdtpldt0(sz00,sz00),sz00)
| ~ spl6_242
| ~ spl6_243 ),
inference(forward_demodulation,[],[f10760,f6069]) ).
fof(f10760,plain,
( sz00 = sdtmndt0(sdtpldt0(sK4(xm,sz00),sz00),sK4(xm,sz00))
| ~ spl6_242
| ~ spl6_243 ),
inference(resolution,[],[f10663,f6064]) ).
fof(f10807,plain,
( spl6_341
| ~ spl6_49
| ~ spl6_177
| ~ spl6_242
| ~ spl6_243 ),
inference(avatar_split_clause,[],[f10770,f6067,f6063,f3253,f561,f10804]) ).
fof(f10804,plain,
( spl6_341
<=> sz00 = sdtmndt0(xq,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_341])]) ).
fof(f3253,plain,
( spl6_177
<=> xq = sdtpldt0(xq,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_177])]) ).
fof(f10770,plain,
( sz00 = sdtmndt0(xq,xq)
| ~ spl6_49
| ~ spl6_177
| ~ spl6_242
| ~ spl6_243 ),
inference(forward_demodulation,[],[f10751,f3255]) ).
fof(f3255,plain,
( xq = sdtpldt0(xq,sz00)
| ~ spl6_177 ),
inference(avatar_component_clause,[],[f3253]) ).
fof(f10751,plain,
( sz00 = sdtmndt0(sdtpldt0(xq,sz00),xq)
| ~ spl6_49
| ~ spl6_242
| ~ spl6_243 ),
inference(resolution,[],[f10663,f562]) ).
fof(f10802,plain,
( spl6_340
| ~ spl6_4
| ~ spl6_30
| ~ spl6_242
| ~ spl6_243 ),
inference(avatar_split_clause,[],[f10769,f6067,f6063,f404,f250,f10799]) ).
fof(f10799,plain,
( spl6_340
<=> sz00 = sdtmndt0(xp,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_340])]) ).
fof(f404,plain,
( spl6_30
<=> xp = sdtpldt0(xp,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_30])]) ).
fof(f10769,plain,
( sz00 = sdtmndt0(xp,xp)
| ~ spl6_4
| ~ spl6_30
| ~ spl6_242
| ~ spl6_243 ),
inference(forward_demodulation,[],[f10750,f406]) ).
fof(f406,plain,
( xp = sdtpldt0(xp,sz00)
| ~ spl6_30 ),
inference(avatar_component_clause,[],[f404]) ).
fof(f10750,plain,
( sz00 = sdtmndt0(sdtpldt0(xp,sz00),xp)
| ~ spl6_4
| ~ spl6_242
| ~ spl6_243 ),
inference(resolution,[],[f10663,f252]) ).
fof(f10797,plain,
( spl6_339
| ~ spl6_3
| ~ spl6_29
| ~ spl6_242
| ~ spl6_243 ),
inference(avatar_split_clause,[],[f10768,f6067,f6063,f399,f245,f10794]) ).
fof(f10794,plain,
( spl6_339
<=> sz00 = sdtmndt0(xm,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_339])]) ).
fof(f399,plain,
( spl6_29
<=> xm = sdtpldt0(xm,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_29])]) ).
fof(f10768,plain,
( sz00 = sdtmndt0(xm,xm)
| ~ spl6_3
| ~ spl6_29
| ~ spl6_242
| ~ spl6_243 ),
inference(forward_demodulation,[],[f10749,f401]) ).
fof(f401,plain,
( xm = sdtpldt0(xm,sz00)
| ~ spl6_29 ),
inference(avatar_component_clause,[],[f399]) ).
fof(f10749,plain,
( sz00 = sdtmndt0(sdtpldt0(xm,sz00),xm)
| ~ spl6_3
| ~ spl6_242
| ~ spl6_243 ),
inference(resolution,[],[f10663,f247]) ).
fof(f10792,plain,
( spl6_338
| ~ spl6_2
| ~ spl6_28
| ~ spl6_242
| ~ spl6_243 ),
inference(avatar_split_clause,[],[f10767,f6067,f6063,f394,f240,f10789]) ).
fof(f10789,plain,
( spl6_338
<=> sz00 = sdtmndt0(xn,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_338])]) ).
fof(f394,plain,
( spl6_28
<=> xn = sdtpldt0(xn,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_28])]) ).
fof(f10767,plain,
( sz00 = sdtmndt0(xn,xn)
| ~ spl6_2
| ~ spl6_28
| ~ spl6_242
| ~ spl6_243 ),
inference(forward_demodulation,[],[f10748,f396]) ).
fof(f396,plain,
( xn = sdtpldt0(xn,sz00)
| ~ spl6_28 ),
inference(avatar_component_clause,[],[f394]) ).
fof(f10748,plain,
( sz00 = sdtmndt0(sdtpldt0(xn,sz00),xn)
| ~ spl6_2
| ~ spl6_242
| ~ spl6_243 ),
inference(resolution,[],[f10663,f242]) ).
fof(f10787,plain,
( spl6_337
| ~ spl6_6
| ~ spl6_36
| ~ spl6_242
| ~ spl6_243 ),
inference(avatar_split_clause,[],[f10763,f6067,f6063,f440,f260,f10784]) ).
fof(f10784,plain,
( spl6_337
<=> sz00 = sdtmndt0(sz10,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_337])]) ).
fof(f440,plain,
( spl6_36
<=> sz10 = sdtpldt0(sz10,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_36])]) ).
fof(f10763,plain,
( sz00 = sdtmndt0(sz10,sz10)
| ~ spl6_6
| ~ spl6_36
| ~ spl6_242
| ~ spl6_243 ),
inference(forward_demodulation,[],[f10741,f442]) ).
fof(f442,plain,
( sz10 = sdtpldt0(sz10,sz00)
| ~ spl6_36 ),
inference(avatar_component_clause,[],[f440]) ).
fof(f10741,plain,
( sz00 = sdtmndt0(sdtpldt0(sz10,sz00),sz10)
| ~ spl6_6
| ~ spl6_242
| ~ spl6_243 ),
inference(resolution,[],[f10663,f262]) ).
fof(f10782,plain,
( spl6_336
| ~ spl6_5
| ~ spl6_32
| ~ spl6_242
| ~ spl6_243 ),
inference(avatar_split_clause,[],[f10762,f6067,f6063,f415,f255,f10779]) ).
fof(f10762,plain,
( sz00 = sdtmndt0(sz00,sz00)
| ~ spl6_5
| ~ spl6_32
| ~ spl6_242
| ~ spl6_243 ),
inference(forward_demodulation,[],[f10740,f417]) ).
fof(f10740,plain,
( sz00 = sdtmndt0(sdtpldt0(sz00,sz00),sz00)
| ~ spl6_5
| ~ spl6_242
| ~ spl6_243 ),
inference(resolution,[],[f10663,f257]) ).
fof(f10602,plain,
( ~ spl6_335
| ~ spl6_4
| ~ spl6_5
| spl6_9
| spl6_146
| ~ spl6_211
| ~ spl6_304
| ~ spl6_314 ),
inference(avatar_split_clause,[],[f10513,f9973,f9889,f4885,f2329,f275,f255,f250,f10598]) ).
fof(f10598,plain,
( spl6_335
<=> sz00 = sK4(xp,sdtasdt0(xn,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_335])]) ).
fof(f9889,plain,
( spl6_304
<=> sdtasdt0(xn,xn) = sdtasdt0(xp,sK4(xp,sdtasdt0(xn,xn))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_304])]) ).
fof(f10513,plain,
( sz00 != sK4(xp,sdtasdt0(xn,xn))
| ~ spl6_4
| ~ spl6_5
| spl6_9
| spl6_146
| ~ spl6_211
| ~ spl6_304
| ~ spl6_314 ),
inference(subsumption_resolution,[],[f10484,f2331]) ).
fof(f10484,plain,
( sz00 = sdtasdt0(xn,xn)
| sz00 != sK4(xp,sdtasdt0(xn,xn))
| ~ spl6_4
| ~ spl6_5
| spl6_9
| ~ spl6_211
| ~ spl6_304
| ~ spl6_314 ),
inference(superposition,[],[f9891,f9982]) ).
fof(f9891,plain,
( sdtasdt0(xn,xn) = sdtasdt0(xp,sK4(xp,sdtasdt0(xn,xn)))
| ~ spl6_304 ),
inference(avatar_component_clause,[],[f9889]) ).
fof(f10601,plain,
( ~ spl6_335
| ~ spl6_4
| ~ spl6_5
| spl6_9
| spl6_146
| ~ spl6_211
| ~ spl6_304
| ~ spl6_314 ),
inference(avatar_split_clause,[],[f10506,f9973,f9889,f4885,f2329,f275,f255,f250,f10598]) ).
fof(f10506,plain,
( sz00 != sK4(xp,sdtasdt0(xn,xn))
| ~ spl6_4
| ~ spl6_5
| spl6_9
| spl6_146
| ~ spl6_211
| ~ spl6_304
| ~ spl6_314 ),
inference(subsumption_resolution,[],[f10472,f2331]) ).
fof(f10472,plain,
( sz00 = sdtasdt0(xn,xn)
| sz00 != sK4(xp,sdtasdt0(xn,xn))
| ~ spl6_4
| ~ spl6_5
| spl6_9
| ~ spl6_211
| ~ spl6_304
| ~ spl6_314 ),
inference(superposition,[],[f9982,f9891]) ).
fof(f10592,plain,
( ~ spl6_334
| ~ spl6_4
| ~ spl6_5
| spl6_7
| spl6_9
| ~ spl6_139
| ~ spl6_211
| ~ spl6_314 ),
inference(avatar_split_clause,[],[f10512,f9973,f4885,f1793,f275,f265,f255,f250,f10546]) ).
fof(f10546,plain,
( spl6_334
<=> sz00 = sK4(xp,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_334])]) ).
fof(f265,plain,
( spl6_7
<=> sz00 = xn ),
introduced(avatar_definition,[new_symbols(naming,[spl6_7])]) ).
fof(f1793,plain,
( spl6_139
<=> xn = sdtasdt0(xp,sK4(xp,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_139])]) ).
fof(f10512,plain,
( sz00 != sK4(xp,xn)
| ~ spl6_4
| ~ spl6_5
| spl6_7
| spl6_9
| ~ spl6_139
| ~ spl6_211
| ~ spl6_314 ),
inference(subsumption_resolution,[],[f10483,f267]) ).
fof(f267,plain,
( sz00 != xn
| spl6_7 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f10483,plain,
( sz00 = xn
| sz00 != sK4(xp,xn)
| ~ spl6_4
| ~ spl6_5
| spl6_9
| ~ spl6_139
| ~ spl6_211
| ~ spl6_314 ),
inference(superposition,[],[f1795,f9982]) ).
fof(f1795,plain,
( xn = sdtasdt0(xp,sK4(xp,xn))
| ~ spl6_139 ),
inference(avatar_component_clause,[],[f1793]) ).
fof(f10551,plain,
( ~ spl6_333
| ~ spl6_4
| ~ spl6_5
| spl6_9
| ~ spl6_46
| spl6_146
| ~ spl6_211
| ~ spl6_314 ),
inference(avatar_split_clause,[],[f10511,f9973,f4885,f2329,f540,f275,f255,f250,f10541]) ).
fof(f10541,plain,
( spl6_333
<=> sz00 = sdtasdt0(xm,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_333])]) ).
fof(f10511,plain,
( sz00 != sdtasdt0(xm,xm)
| ~ spl6_4
| ~ spl6_5
| spl6_9
| ~ spl6_46
| spl6_146
| ~ spl6_211
| ~ spl6_314 ),
inference(subsumption_resolution,[],[f10477,f2331]) ).
fof(f10477,plain,
( sz00 = sdtasdt0(xn,xn)
| sz00 != sdtasdt0(xm,xm)
| ~ spl6_4
| ~ spl6_5
| spl6_9
| ~ spl6_46
| ~ spl6_211
| ~ spl6_314 ),
inference(superposition,[],[f542,f9982]) ).
fof(f10550,plain,
( ~ spl6_332
| ~ spl6_4
| ~ spl6_5
| spl6_9
| ~ spl6_45
| ~ spl6_61
| spl6_146
| ~ spl6_211
| ~ spl6_314 ),
inference(avatar_split_clause,[],[f10510,f9973,f4885,f2329,f646,f535,f275,f255,f250,f10536]) ).
fof(f10536,plain,
( spl6_332
<=> sz00 = sdtasdt0(xq,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_332])]) ).
fof(f10510,plain,
( sz00 != sdtasdt0(xq,xq)
| ~ spl6_4
| ~ spl6_5
| spl6_9
| ~ spl6_45
| ~ spl6_61
| spl6_146
| ~ spl6_211
| ~ spl6_314 ),
inference(subsumption_resolution,[],[f10509,f2331]) ).
fof(f10509,plain,
( sz00 = sdtasdt0(xn,xn)
| sz00 != sdtasdt0(xq,xq)
| ~ spl6_4
| ~ spl6_5
| spl6_9
| ~ spl6_45
| ~ spl6_61
| ~ spl6_211
| ~ spl6_314 ),
inference(forward_demodulation,[],[f10476,f647]) ).
fof(f10476,plain,
( sz00 = sdtasdt0(xm,xm)
| sz00 != sdtasdt0(xq,xq)
| ~ spl6_4
| ~ spl6_5
| spl6_9
| ~ spl6_45
| ~ spl6_211
| ~ spl6_314 ),
inference(superposition,[],[f537,f9982]) ).
fof(f10549,plain,
( ~ spl6_334
| ~ spl6_4
| ~ spl6_5
| spl6_7
| spl6_9
| ~ spl6_139
| ~ spl6_211
| ~ spl6_314 ),
inference(avatar_split_clause,[],[f10507,f9973,f4885,f1793,f275,f265,f255,f250,f10546]) ).
fof(f10507,plain,
( sz00 != sK4(xp,xn)
| ~ spl6_4
| ~ spl6_5
| spl6_7
| spl6_9
| ~ spl6_139
| ~ spl6_211
| ~ spl6_314 ),
inference(subsumption_resolution,[],[f10473,f267]) ).
fof(f10473,plain,
( sz00 = xn
| sz00 != sK4(xp,xn)
| ~ spl6_4
| ~ spl6_5
| spl6_9
| ~ spl6_139
| ~ spl6_211
| ~ spl6_314 ),
inference(superposition,[],[f9982,f1795]) ).
fof(f10544,plain,
( ~ spl6_333
| ~ spl6_4
| ~ spl6_5
| spl6_9
| ~ spl6_46
| spl6_146
| ~ spl6_211
| ~ spl6_314 ),
inference(avatar_split_clause,[],[f10505,f9973,f4885,f2329,f540,f275,f255,f250,f10541]) ).
fof(f10505,plain,
( sz00 != sdtasdt0(xm,xm)
| ~ spl6_4
| ~ spl6_5
| spl6_9
| ~ spl6_46
| spl6_146
| ~ spl6_211
| ~ spl6_314 ),
inference(subsumption_resolution,[],[f10468,f2331]) ).
fof(f10468,plain,
( sz00 = sdtasdt0(xn,xn)
| sz00 != sdtasdt0(xm,xm)
| ~ spl6_4
| ~ spl6_5
| spl6_9
| ~ spl6_46
| ~ spl6_211
| ~ spl6_314 ),
inference(superposition,[],[f9982,f542]) ).
fof(f10539,plain,
( ~ spl6_332
| ~ spl6_4
| ~ spl6_5
| spl6_9
| ~ spl6_45
| ~ spl6_61
| spl6_146
| ~ spl6_211
| ~ spl6_314 ),
inference(avatar_split_clause,[],[f10504,f9973,f4885,f2329,f646,f535,f275,f255,f250,f10536]) ).
fof(f10504,plain,
( sz00 != sdtasdt0(xq,xq)
| ~ spl6_4
| ~ spl6_5
| spl6_9
| ~ spl6_45
| ~ spl6_61
| spl6_146
| ~ spl6_211
| ~ spl6_314 ),
inference(subsumption_resolution,[],[f10503,f2331]) ).
fof(f10503,plain,
( sz00 = sdtasdt0(xn,xn)
| sz00 != sdtasdt0(xq,xq)
| ~ spl6_4
| ~ spl6_5
| spl6_9
| ~ spl6_45
| ~ spl6_61
| ~ spl6_211
| ~ spl6_314 ),
inference(forward_demodulation,[],[f10467,f647]) ).
fof(f10467,plain,
( sz00 = sdtasdt0(xm,xm)
| sz00 != sdtasdt0(xq,xq)
| ~ spl6_4
| ~ spl6_5
| spl6_9
| ~ spl6_45
| ~ spl6_211
| ~ spl6_314 ),
inference(superposition,[],[f9982,f537]) ).
fof(f10436,plain,
( spl6_331
| ~ spl6_242
| ~ spl6_243 ),
inference(avatar_split_clause,[],[f9390,f6067,f6063,f10433]) ).
fof(f9390,plain,
( sz00 = sdtpldt0(sz00,sK5(sz00,sz00))
| ~ spl6_242
| ~ spl6_243 ),
inference(forward_demodulation,[],[f9387,f6069]) ).
fof(f9387,plain,
( sK4(xm,sz00) = sdtpldt0(sK4(xm,sz00),sK5(sK4(xm,sz00),sK4(xm,sz00)))
| ~ spl6_242 ),
inference(resolution,[],[f2086,f6064]) ).
fof(f10420,plain,
( spl6_330
| ~ spl6_6
| ~ spl6_259
| ~ spl6_266 ),
inference(avatar_split_clause,[],[f9175,f8701,f8430,f260,f10417]) ).
fof(f10417,plain,
( spl6_330
<=> doDivides0(sK3(xq),sK3(xq)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_330])]) ).
fof(f8701,plain,
( spl6_266
<=> sK3(xq) = sdtasdt0(sK3(xq),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_266])]) ).
fof(f9175,plain,
( doDivides0(sK3(xq),sK3(xq))
| ~ spl6_6
| ~ spl6_259
| ~ spl6_266 ),
inference(subsumption_resolution,[],[f9174,f8431]) ).
fof(f9174,plain,
( doDivides0(sK3(xq),sK3(xq))
| ~ aNaturalNumber0(sK3(xq))
| ~ spl6_6
| ~ spl6_266 ),
inference(subsumption_resolution,[],[f9035,f262]) ).
fof(f9035,plain,
( doDivides0(sK3(xq),sK3(xq))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK3(xq))
| ~ spl6_266 ),
inference(superposition,[],[f2005,f8703]) ).
fof(f8703,plain,
( sK3(xq) = sdtasdt0(sK3(xq),sz10)
| ~ spl6_266 ),
inference(avatar_component_clause,[],[f8701]) ).
fof(f10364,plain,
( spl6_329
| ~ spl6_6
| ~ spl6_233
| ~ spl6_240 ),
inference(avatar_split_clause,[],[f9171,f6014,f5897,f260,f10361]) ).
fof(f10361,plain,
( spl6_329
<=> doDivides0(sK3(xm),sK3(xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_329])]) ).
fof(f6014,plain,
( spl6_240
<=> sK3(xm) = sdtasdt0(sK3(xm),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_240])]) ).
fof(f9171,plain,
( doDivides0(sK3(xm),sK3(xm))
| ~ spl6_6
| ~ spl6_233
| ~ spl6_240 ),
inference(subsumption_resolution,[],[f9170,f5898]) ).
fof(f9170,plain,
( doDivides0(sK3(xm),sK3(xm))
| ~ aNaturalNumber0(sK3(xm))
| ~ spl6_6
| ~ spl6_240 ),
inference(subsumption_resolution,[],[f9033,f262]) ).
fof(f9033,plain,
( doDivides0(sK3(xm),sK3(xm))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK3(xm))
| ~ spl6_240 ),
inference(superposition,[],[f2005,f6016]) ).
fof(f6016,plain,
( sK3(xm) = sdtasdt0(sK3(xm),sz10)
| ~ spl6_240 ),
inference(avatar_component_clause,[],[f6014]) ).
fof(f10359,plain,
( spl6_328
| ~ spl6_6
| ~ spl6_217
| ~ spl6_230 ),
inference(avatar_split_clause,[],[f9169,f5350,f5007,f260,f10356]) ).
fof(f10356,plain,
( spl6_328
<=> doDivides0(sK3(xn),sK3(xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_328])]) ).
fof(f5350,plain,
( spl6_230
<=> sK3(xn) = sdtasdt0(sK3(xn),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_230])]) ).
fof(f9169,plain,
( doDivides0(sK3(xn),sK3(xn))
| ~ spl6_6
| ~ spl6_217
| ~ spl6_230 ),
inference(subsumption_resolution,[],[f9168,f5008]) ).
fof(f9168,plain,
( doDivides0(sK3(xn),sK3(xn))
| ~ aNaturalNumber0(sK3(xn))
| ~ spl6_6
| ~ spl6_230 ),
inference(subsumption_resolution,[],[f9032,f262]) ).
fof(f9032,plain,
( doDivides0(sK3(xn),sK3(xn))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK3(xn))
| ~ spl6_230 ),
inference(superposition,[],[f2005,f5352]) ).
fof(f5352,plain,
( sK3(xn) = sdtasdt0(sK3(xn),sz10)
| ~ spl6_230 ),
inference(avatar_component_clause,[],[f5350]) ).
fof(f10354,plain,
( spl6_327
| ~ spl6_6
| ~ spl6_213
| ~ spl6_226 ),
inference(avatar_split_clause,[],[f9167,f5330,f4925,f260,f10351]) ).
fof(f10351,plain,
( spl6_327
<=> doDivides0(sK2(xn),sK2(xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_327])]) ).
fof(f5330,plain,
( spl6_226
<=> sK2(xn) = sdtasdt0(sK2(xn),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_226])]) ).
fof(f9167,plain,
( doDivides0(sK2(xn),sK2(xn))
| ~ spl6_6
| ~ spl6_213
| ~ spl6_226 ),
inference(subsumption_resolution,[],[f9166,f4926]) ).
fof(f9166,plain,
( doDivides0(sK2(xn),sK2(xn))
| ~ aNaturalNumber0(sK2(xn))
| ~ spl6_6
| ~ spl6_226 ),
inference(subsumption_resolution,[],[f9031,f262]) ).
fof(f9031,plain,
( doDivides0(sK2(xn),sK2(xn))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK2(xn))
| ~ spl6_226 ),
inference(superposition,[],[f2005,f5332]) ).
fof(f5332,plain,
( sK2(xn) = sdtasdt0(sK2(xn),sz10)
| ~ spl6_226 ),
inference(avatar_component_clause,[],[f5330]) ).
fof(f10277,plain,
( spl6_326
| ~ spl6_2
| ~ spl6_4
| spl6_9
| ~ spl6_10
| ~ spl6_14
| ~ spl6_319 ),
inference(avatar_split_clause,[],[f10265,f10162,f299,f280,f275,f250,f240,f10274]) ).
fof(f10162,plain,
( spl6_319
<=> doDivides0(xq,sdtasdt0(xp,xq)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_319])]) ).
fof(f10265,plain,
( doDivides0(xq,xn)
| ~ spl6_2
| ~ spl6_4
| spl6_9
| ~ spl6_10
| ~ spl6_14
| ~ spl6_319 ),
inference(trivial_inequality_removal,[],[f10264]) ).
fof(f10264,plain,
( doDivides0(xq,xn)
| xq != xq
| ~ spl6_2
| ~ spl6_4
| spl6_9
| ~ spl6_10
| ~ spl6_14
| ~ spl6_319 ),
inference(superposition,[],[f10164,f6549]) ).
fof(f10164,plain,
( doDivides0(xq,sdtasdt0(xp,xq))
| ~ spl6_319 ),
inference(avatar_component_clause,[],[f10162]) ).
fof(f10218,plain,
( ~ spl6_325
| ~ spl6_5
| ~ spl6_52
| spl6_146
| ~ spl6_311 ),
inference(avatar_split_clause,[],[f10127,f9925,f2329,f589,f255,f10215]) ).
fof(f10215,plain,
( spl6_325
<=> sdtlseqdt0(sdtasdt0(xn,xn),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_325])]) ).
fof(f9925,plain,
( spl6_311
<=> sdtlseqdt0(sz00,sdtasdt0(xn,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_311])]) ).
fof(f10127,plain,
( ~ sdtlseqdt0(sdtasdt0(xn,xn),sz00)
| ~ spl6_5
| ~ spl6_52
| spl6_146
| ~ spl6_311 ),
inference(subsumption_resolution,[],[f10126,f591]) ).
fof(f10126,plain,
( ~ sdtlseqdt0(sdtasdt0(xn,xn),sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ spl6_5
| spl6_146
| ~ spl6_311 ),
inference(subsumption_resolution,[],[f10125,f257]) ).
fof(f10125,plain,
( ~ sdtlseqdt0(sdtasdt0(xn,xn),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| spl6_146
| ~ spl6_311 ),
inference(subsumption_resolution,[],[f10120,f2331]) ).
fof(f10120,plain,
( sz00 = sdtasdt0(xn,xn)
| ~ sdtlseqdt0(sdtasdt0(xn,xn),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ spl6_311 ),
inference(resolution,[],[f9927,f210]) ).
fof(f9927,plain,
( sdtlseqdt0(sz00,sdtasdt0(xn,xn))
| ~ spl6_311 ),
inference(avatar_component_clause,[],[f9925]) ).
fof(f10213,plain,
( spl6_324
| ~ spl6_6
| ~ spl6_52
| spl6_146
| ~ spl6_303 ),
inference(avatar_split_clause,[],[f10027,f9884,f2329,f589,f260,f10210]) ).
fof(f10210,plain,
( spl6_324
<=> sdtlseqdt0(sz10,sdtasdt0(xn,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_324])]) ).
fof(f9884,plain,
( spl6_303
<=> doDivides0(sz10,sdtasdt0(xn,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_303])]) ).
fof(f10027,plain,
( sdtlseqdt0(sz10,sdtasdt0(xn,xn))
| ~ spl6_6
| ~ spl6_52
| spl6_146
| ~ spl6_303 ),
inference(subsumption_resolution,[],[f10026,f262]) ).
fof(f10026,plain,
( sdtlseqdt0(sz10,sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sz10)
| ~ spl6_52
| spl6_146
| ~ spl6_303 ),
inference(subsumption_resolution,[],[f10025,f591]) ).
fof(f10025,plain,
( sdtlseqdt0(sz10,sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sz10)
| spl6_146
| ~ spl6_303 ),
inference(subsumption_resolution,[],[f10015,f2331]) ).
fof(f10015,plain,
( sz00 = sdtasdt0(xn,xn)
| sdtlseqdt0(sz10,sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sz10)
| ~ spl6_303 ),
inference(resolution,[],[f9886,f209]) ).
fof(f9886,plain,
( doDivides0(sz10,sdtasdt0(xn,xn))
| ~ spl6_303 ),
inference(avatar_component_clause,[],[f9884]) ).
fof(f10208,plain,
( spl6_323
| ~ spl6_4
| ~ spl6_49
| ~ spl6_193 ),
inference(avatar_split_clause,[],[f9535,f3749,f561,f250,f10205]) ).
fof(f10205,plain,
( spl6_323
<=> sdtlseqdt0(xq,sdtpldt0(xp,xq)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_323])]) ).
fof(f3749,plain,
( spl6_193
<=> sdtpldt0(xq,xp) = sdtpldt0(xp,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_193])]) ).
fof(f9535,plain,
( sdtlseqdt0(xq,sdtpldt0(xp,xq))
| ~ spl6_4
| ~ spl6_49
| ~ spl6_193 ),
inference(subsumption_resolution,[],[f9534,f562]) ).
fof(f9534,plain,
( sdtlseqdt0(xq,sdtpldt0(xp,xq))
| ~ aNaturalNumber0(xq)
| ~ spl6_4
| ~ spl6_193 ),
inference(subsumption_resolution,[],[f9483,f252]) ).
fof(f9483,plain,
( sdtlseqdt0(xq,sdtpldt0(xp,xq))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xq)
| ~ spl6_193 ),
inference(superposition,[],[f2214,f3751]) ).
fof(f3751,plain,
( sdtpldt0(xq,xp) = sdtpldt0(xp,xq)
| ~ spl6_193 ),
inference(avatar_component_clause,[],[f3749]) ).
fof(f2214,plain,
! [X0,X1] :
( sdtlseqdt0(X0,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(subsumption_resolution,[],[f2182,f187]) ).
fof(f2182,plain,
! [X0,X1] :
( sdtlseqdt0(X0,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f216]) ).
fof(f10203,plain,
( spl6_322
| ~ spl6_3
| ~ spl6_49
| ~ spl6_192 ),
inference(avatar_split_clause,[],[f9531,f3744,f561,f245,f10200]) ).
fof(f10200,plain,
( spl6_322
<=> sdtlseqdt0(xq,sdtpldt0(xm,xq)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_322])]) ).
fof(f3744,plain,
( spl6_192
<=> sdtpldt0(xq,xm) = sdtpldt0(xm,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_192])]) ).
fof(f9531,plain,
( sdtlseqdt0(xq,sdtpldt0(xm,xq))
| ~ spl6_3
| ~ spl6_49
| ~ spl6_192 ),
inference(subsumption_resolution,[],[f9530,f562]) ).
fof(f9530,plain,
( sdtlseqdt0(xq,sdtpldt0(xm,xq))
| ~ aNaturalNumber0(xq)
| ~ spl6_3
| ~ spl6_192 ),
inference(subsumption_resolution,[],[f9481,f247]) ).
fof(f9481,plain,
( sdtlseqdt0(xq,sdtpldt0(xm,xq))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xq)
| ~ spl6_192 ),
inference(superposition,[],[f2214,f3746]) ).
fof(f3746,plain,
( sdtpldt0(xq,xm) = sdtpldt0(xm,xq)
| ~ spl6_192 ),
inference(avatar_component_clause,[],[f3744]) ).
fof(f10198,plain,
( spl6_321
| ~ spl6_2
| ~ spl6_49
| ~ spl6_191 ),
inference(avatar_split_clause,[],[f9527,f3739,f561,f240,f10195]) ).
fof(f10195,plain,
( spl6_321
<=> sdtlseqdt0(xq,sdtpldt0(xn,xq)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_321])]) ).
fof(f3739,plain,
( spl6_191
<=> sdtpldt0(xq,xn) = sdtpldt0(xn,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_191])]) ).
fof(f9527,plain,
( sdtlseqdt0(xq,sdtpldt0(xn,xq))
| ~ spl6_2
| ~ spl6_49
| ~ spl6_191 ),
inference(subsumption_resolution,[],[f9526,f562]) ).
fof(f9526,plain,
( sdtlseqdt0(xq,sdtpldt0(xn,xq))
| ~ aNaturalNumber0(xq)
| ~ spl6_2
| ~ spl6_191 ),
inference(subsumption_resolution,[],[f9478,f242]) ).
fof(f9478,plain,
( sdtlseqdt0(xq,sdtpldt0(xn,xq))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xq)
| ~ spl6_191 ),
inference(superposition,[],[f2214,f3741]) ).
fof(f3741,plain,
( sdtpldt0(xq,xn) = sdtpldt0(xn,xq)
| ~ spl6_191 ),
inference(avatar_component_clause,[],[f3739]) ).
fof(f10170,plain,
( spl6_320
| ~ spl6_6
| ~ spl6_49
| ~ spl6_190 ),
inference(avatar_split_clause,[],[f9516,f3734,f561,f260,f10167]) ).
fof(f10167,plain,
( spl6_320
<=> sdtlseqdt0(xq,sdtpldt0(sz10,xq)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_320])]) ).
fof(f3734,plain,
( spl6_190
<=> sdtpldt0(xq,sz10) = sdtpldt0(sz10,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_190])]) ).
fof(f9516,plain,
( sdtlseqdt0(xq,sdtpldt0(sz10,xq))
| ~ spl6_6
| ~ spl6_49
| ~ spl6_190 ),
inference(subsumption_resolution,[],[f9515,f562]) ).
fof(f9515,plain,
( sdtlseqdt0(xq,sdtpldt0(sz10,xq))
| ~ aNaturalNumber0(xq)
| ~ spl6_6
| ~ spl6_190 ),
inference(subsumption_resolution,[],[f9472,f262]) ).
fof(f9472,plain,
( sdtlseqdt0(xq,sdtpldt0(sz10,xq))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xq)
| ~ spl6_190 ),
inference(superposition,[],[f2214,f3736]) ).
fof(f3736,plain,
( sdtpldt0(xq,sz10) = sdtpldt0(sz10,xq)
| ~ spl6_190 ),
inference(avatar_component_clause,[],[f3734]) ).
fof(f10165,plain,
( spl6_319
| ~ spl6_4
| ~ spl6_49
| ~ spl6_196 ),
inference(avatar_split_clause,[],[f9271,f3766,f561,f250,f10162]) ).
fof(f3766,plain,
( spl6_196
<=> sdtasdt0(xq,xp) = sdtasdt0(xp,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_196])]) ).
fof(f9271,plain,
( doDivides0(xq,sdtasdt0(xp,xq))
| ~ spl6_4
| ~ spl6_49
| ~ spl6_196 ),
inference(subsumption_resolution,[],[f9270,f562]) ).
fof(f9270,plain,
( doDivides0(xq,sdtasdt0(xp,xq))
| ~ aNaturalNumber0(xq)
| ~ spl6_4
| ~ spl6_196 ),
inference(subsumption_resolution,[],[f9083,f252]) ).
fof(f9083,plain,
( doDivides0(xq,sdtasdt0(xp,xq))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xq)
| ~ spl6_196 ),
inference(superposition,[],[f2005,f3768]) ).
fof(f3768,plain,
( sdtasdt0(xq,xp) = sdtasdt0(xp,xq)
| ~ spl6_196 ),
inference(avatar_component_clause,[],[f3766]) ).
fof(f10160,plain,
( spl6_318
| ~ spl6_3
| ~ spl6_49
| ~ spl6_195 ),
inference(avatar_split_clause,[],[f9262,f3761,f561,f245,f10157]) ).
fof(f10157,plain,
( spl6_318
<=> doDivides0(xq,sdtasdt0(xm,xq)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_318])]) ).
fof(f3761,plain,
( spl6_195
<=> sdtasdt0(xq,xm) = sdtasdt0(xm,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_195])]) ).
fof(f9262,plain,
( doDivides0(xq,sdtasdt0(xm,xq))
| ~ spl6_3
| ~ spl6_49
| ~ spl6_195 ),
inference(subsumption_resolution,[],[f9261,f562]) ).
fof(f9261,plain,
( doDivides0(xq,sdtasdt0(xm,xq))
| ~ aNaturalNumber0(xq)
| ~ spl6_3
| ~ spl6_195 ),
inference(subsumption_resolution,[],[f9079,f247]) ).
fof(f9079,plain,
( doDivides0(xq,sdtasdt0(xm,xq))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xq)
| ~ spl6_195 ),
inference(superposition,[],[f2005,f3763]) ).
fof(f3763,plain,
( sdtasdt0(xq,xm) = sdtasdt0(xm,xq)
| ~ spl6_195 ),
inference(avatar_component_clause,[],[f3761]) ).
fof(f10155,plain,
( spl6_317
| ~ spl6_2
| ~ spl6_49
| ~ spl6_194 ),
inference(avatar_split_clause,[],[f9253,f3756,f561,f240,f10152]) ).
fof(f10152,plain,
( spl6_317
<=> doDivides0(xq,sdtasdt0(xn,xq)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_317])]) ).
fof(f3756,plain,
( spl6_194
<=> sdtasdt0(xq,xn) = sdtasdt0(xn,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_194])]) ).
fof(f9253,plain,
( doDivides0(xq,sdtasdt0(xn,xq))
| ~ spl6_2
| ~ spl6_49
| ~ spl6_194 ),
inference(subsumption_resolution,[],[f9252,f562]) ).
fof(f9252,plain,
( doDivides0(xq,sdtasdt0(xn,xq))
| ~ aNaturalNumber0(xq)
| ~ spl6_2
| ~ spl6_194 ),
inference(subsumption_resolution,[],[f9074,f242]) ).
fof(f9074,plain,
( doDivides0(xq,sdtasdt0(xn,xq))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xq)
| ~ spl6_194 ),
inference(superposition,[],[f2005,f3758]) ).
fof(f3758,plain,
( sdtasdt0(xq,xn) = sdtasdt0(xn,xq)
| ~ spl6_194 ),
inference(avatar_component_clause,[],[f3756]) ).
fof(f10150,plain,
( spl6_316
| ~ spl6_6
| ~ spl6_150
| ~ spl6_157 ),
inference(avatar_split_clause,[],[f9173,f2595,f2436,f260,f10147]) ).
fof(f10147,plain,
( spl6_316
<=> doDivides0(sK3(xp),sK3(xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_316])]) ).
fof(f2595,plain,
( spl6_157
<=> sK3(xp) = sdtasdt0(sK3(xp),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_157])]) ).
fof(f9173,plain,
( doDivides0(sK3(xp),sK3(xp))
| ~ spl6_6
| ~ spl6_150
| ~ spl6_157 ),
inference(subsumption_resolution,[],[f9172,f2437]) ).
fof(f9172,plain,
( doDivides0(sK3(xp),sK3(xp))
| ~ aNaturalNumber0(sK3(xp))
| ~ spl6_6
| ~ spl6_157 ),
inference(subsumption_resolution,[],[f9034,f262]) ).
fof(f9034,plain,
( doDivides0(sK3(xp),sK3(xp))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK3(xp))
| ~ spl6_157 ),
inference(superposition,[],[f2005,f2597]) ).
fof(f2597,plain,
( sK3(xp) = sdtasdt0(sK3(xp),sz10)
| ~ spl6_157 ),
inference(avatar_component_clause,[],[f2595]) ).
fof(f9987,plain,
( spl6_315
| ~ spl6_3
| ~ spl6_4
| ~ spl6_70 ),
inference(avatar_split_clause,[],[f9529,f783,f250,f245,f9984]) ).
fof(f9984,plain,
( spl6_315
<=> sdtlseqdt0(xp,sdtpldt0(xm,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_315])]) ).
fof(f783,plain,
( spl6_70
<=> sdtpldt0(xp,xm) = sdtpldt0(xm,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_70])]) ).
fof(f9529,plain,
( sdtlseqdt0(xp,sdtpldt0(xm,xp))
| ~ spl6_3
| ~ spl6_4
| ~ spl6_70 ),
inference(subsumption_resolution,[],[f9528,f252]) ).
fof(f9528,plain,
( sdtlseqdt0(xp,sdtpldt0(xm,xp))
| ~ aNaturalNumber0(xp)
| ~ spl6_3
| ~ spl6_70 ),
inference(subsumption_resolution,[],[f9480,f247]) ).
fof(f9480,plain,
( sdtlseqdt0(xp,sdtpldt0(xm,xp))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xp)
| ~ spl6_70 ),
inference(superposition,[],[f2214,f785]) ).
fof(f785,plain,
( sdtpldt0(xp,xm) = sdtpldt0(xm,xp)
| ~ spl6_70 ),
inference(avatar_component_clause,[],[f783]) ).
fof(f9976,plain,
( spl6_314
| ~ spl6_2
| ~ spl6_4
| spl6_9
| ~ spl6_10
| ~ spl6_14
| ~ spl6_23
| ~ spl6_176
| ~ spl6_242
| ~ spl6_243 ),
inference(avatar_split_clause,[],[f9971,f6067,f6063,f3248,f364,f299,f280,f275,f250,f240,f9973]) ).
fof(f364,plain,
( spl6_23
<=> sz00 = sdtasdt0(sz00,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_23])]) ).
fof(f3248,plain,
( spl6_176
<=> sz00 = sdtasdt0(sz00,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_176])]) ).
fof(f9971,plain,
( sz00 = sdtsldt0(sz00,xp)
| ~ spl6_2
| ~ spl6_4
| spl6_9
| ~ spl6_10
| ~ spl6_14
| ~ spl6_23
| ~ spl6_176
| ~ spl6_242
| ~ spl6_243 ),
inference(forward_demodulation,[],[f9970,f3250]) ).
fof(f3250,plain,
( sz00 = sdtasdt0(sz00,xq)
| ~ spl6_176 ),
inference(avatar_component_clause,[],[f3248]) ).
fof(f9970,plain,
( sdtasdt0(sz00,xq) = sdtsldt0(sz00,xp)
| ~ spl6_2
| ~ spl6_4
| spl6_9
| ~ spl6_10
| ~ spl6_14
| ~ spl6_23
| ~ spl6_242
| ~ spl6_243 ),
inference(forward_demodulation,[],[f9969,f366]) ).
fof(f366,plain,
( sz00 = sdtasdt0(sz00,xn)
| ~ spl6_23 ),
inference(avatar_component_clause,[],[f364]) ).
fof(f9969,plain,
( sdtasdt0(sz00,xq) = sdtsldt0(sdtasdt0(sz00,xn),xp)
| ~ spl6_2
| ~ spl6_4
| spl6_9
| ~ spl6_10
| ~ spl6_14
| ~ spl6_242
| ~ spl6_243 ),
inference(forward_demodulation,[],[f9959,f6069]) ).
fof(f9959,plain,
( sdtsldt0(sdtasdt0(sK4(xm,sz00),xn),xp) = sdtasdt0(sK4(xm,sz00),xq)
| ~ spl6_2
| ~ spl6_4
| spl6_9
| ~ spl6_10
| ~ spl6_14
| ~ spl6_242 ),
inference(resolution,[],[f8639,f6064]) ).
fof(f8639,plain,
( ! [X38] :
( ~ aNaturalNumber0(X38)
| sdtsldt0(sdtasdt0(X38,xn),xp) = sdtasdt0(X38,xq) )
| ~ spl6_2
| ~ spl6_4
| spl6_9
| ~ spl6_10
| ~ spl6_14 ),
inference(forward_demodulation,[],[f8638,f301]) ).
fof(f8638,plain,
( ! [X38] :
( ~ aNaturalNumber0(X38)
| sdtasdt0(X38,sdtsldt0(xn,xp)) = sdtsldt0(sdtasdt0(X38,xn),xp) )
| ~ spl6_2
| ~ spl6_4
| spl6_9
| ~ spl6_10 ),
inference(subsumption_resolution,[],[f8637,f252]) ).
fof(f8637,plain,
( ! [X38] :
( ~ aNaturalNumber0(X38)
| sdtasdt0(X38,sdtsldt0(xn,xp)) = sdtsldt0(sdtasdt0(X38,xn),xp)
| ~ aNaturalNumber0(xp) )
| ~ spl6_2
| spl6_9
| ~ spl6_10 ),
inference(subsumption_resolution,[],[f8636,f242]) ).
fof(f8636,plain,
( ! [X38] :
( ~ aNaturalNumber0(X38)
| sdtasdt0(X38,sdtsldt0(xn,xp)) = sdtsldt0(sdtasdt0(X38,xn),xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xp) )
| spl6_9
| ~ spl6_10 ),
inference(subsumption_resolution,[],[f8558,f277]) ).
fof(f8558,plain,
( ! [X38] :
( ~ aNaturalNumber0(X38)
| sdtasdt0(X38,sdtsldt0(xn,xp)) = sdtsldt0(sdtasdt0(X38,xn),xp)
| sz00 = xp
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xp) )
| ~ spl6_10 ),
inference(resolution,[],[f205,f282]) ).
fof(f205,plain,
! [X2,X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0,X1] :
( ! [X2] :
( sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0)
| ~ aNaturalNumber0(X2) )
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f90]) ).
fof(f90,plain,
! [X0,X1] :
( ! [X2] :
( sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0)
| ~ aNaturalNumber0(X2) )
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X0,X1)
& sz00 != X0 )
=> ! [X2] :
( aNaturalNumber0(X2)
=> sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.7LS3zoPI9a/Vampire---4.8_3333',mDivAsso) ).
fof(f9939,plain,
( spl6_313
| ~ spl6_2
| ~ spl6_4
| ~ spl6_68 ),
inference(avatar_split_clause,[],[f9525,f758,f250,f240,f9936]) ).
fof(f9936,plain,
( spl6_313
<=> sdtlseqdt0(xp,sdtpldt0(xn,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_313])]) ).
fof(f758,plain,
( spl6_68
<=> sdtpldt0(xp,xn) = sdtpldt0(xn,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_68])]) ).
fof(f9525,plain,
( sdtlseqdt0(xp,sdtpldt0(xn,xp))
| ~ spl6_2
| ~ spl6_4
| ~ spl6_68 ),
inference(subsumption_resolution,[],[f9524,f252]) ).
fof(f9524,plain,
( sdtlseqdt0(xp,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(xp)
| ~ spl6_2
| ~ spl6_68 ),
inference(subsumption_resolution,[],[f9477,f242]) ).
fof(f9477,plain,
( sdtlseqdt0(xp,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xp)
| ~ spl6_68 ),
inference(superposition,[],[f2214,f760]) ).
fof(f760,plain,
( sdtpldt0(xp,xn) = sdtpldt0(xn,xp)
| ~ spl6_68 ),
inference(avatar_component_clause,[],[f758]) ).
fof(f9934,plain,
( spl6_312
| ~ spl6_2
| ~ spl6_3
| ~ spl6_67 ),
inference(avatar_split_clause,[],[f9523,f753,f245,f240,f9931]) ).
fof(f9931,plain,
( spl6_312
<=> sdtlseqdt0(xm,sdtpldt0(xn,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_312])]) ).
fof(f753,plain,
( spl6_67
<=> sdtpldt0(xm,xn) = sdtpldt0(xn,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_67])]) ).
fof(f9523,plain,
( sdtlseqdt0(xm,sdtpldt0(xn,xm))
| ~ spl6_2
| ~ spl6_3
| ~ spl6_67 ),
inference(subsumption_resolution,[],[f9522,f247]) ).
fof(f9522,plain,
( sdtlseqdt0(xm,sdtpldt0(xn,xm))
| ~ aNaturalNumber0(xm)
| ~ spl6_2
| ~ spl6_67 ),
inference(subsumption_resolution,[],[f9476,f242]) ).
fof(f9476,plain,
( sdtlseqdt0(xm,sdtpldt0(xn,xm))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ spl6_67 ),
inference(superposition,[],[f2214,f755]) ).
fof(f755,plain,
( sdtpldt0(xm,xn) = sdtpldt0(xn,xm)
| ~ spl6_67 ),
inference(avatar_component_clause,[],[f753]) ).
fof(f9929,plain,
( spl6_311
| ~ spl6_5
| ~ spl6_52
| ~ spl6_64 ),
inference(avatar_split_clause,[],[f9521,f661,f589,f255,f9925]) ).
fof(f661,plain,
( spl6_64
<=> sdtasdt0(xn,xn) = sdtpldt0(sz00,sdtasdt0(xn,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_64])]) ).
fof(f9521,plain,
( sdtlseqdt0(sz00,sdtasdt0(xn,xn))
| ~ spl6_5
| ~ spl6_52
| ~ spl6_64 ),
inference(subsumption_resolution,[],[f9520,f257]) ).
fof(f9520,plain,
( sdtlseqdt0(sz00,sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sz00)
| ~ spl6_52
| ~ spl6_64 ),
inference(subsumption_resolution,[],[f9474,f591]) ).
fof(f9474,plain,
( sdtlseqdt0(sz00,sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sz00)
| ~ spl6_64 ),
inference(superposition,[],[f2214,f663]) ).
fof(f663,plain,
( sdtasdt0(xn,xn) = sdtpldt0(sz00,sdtasdt0(xn,xn))
| ~ spl6_64 ),
inference(avatar_component_clause,[],[f661]) ).
fof(f9928,plain,
( spl6_311
| ~ spl6_5
| ~ spl6_48
| ~ spl6_59
| ~ spl6_61 ),
inference(avatar_split_clause,[],[f9519,f646,f631,f551,f255,f9925]) ).
fof(f631,plain,
( spl6_59
<=> sdtasdt0(xm,xm) = sdtpldt0(sz00,sdtasdt0(xm,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_59])]) ).
fof(f9519,plain,
( sdtlseqdt0(sz00,sdtasdt0(xn,xn))
| ~ spl6_5
| ~ spl6_48
| ~ spl6_59
| ~ spl6_61 ),
inference(forward_demodulation,[],[f9518,f647]) ).
fof(f9518,plain,
( sdtlseqdt0(sz00,sdtasdt0(xm,xm))
| ~ spl6_5
| ~ spl6_48
| ~ spl6_59 ),
inference(subsumption_resolution,[],[f9517,f257]) ).
fof(f9517,plain,
( sdtlseqdt0(sz00,sdtasdt0(xm,xm))
| ~ aNaturalNumber0(sz00)
| ~ spl6_48
| ~ spl6_59 ),
inference(subsumption_resolution,[],[f9473,f553]) ).
fof(f9473,plain,
( sdtlseqdt0(sz00,sdtasdt0(xm,xm))
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ~ aNaturalNumber0(sz00)
| ~ spl6_59 ),
inference(superposition,[],[f2214,f633]) ).
fof(f633,plain,
( sdtasdt0(xm,xm) = sdtpldt0(sz00,sdtasdt0(xm,xm))
| ~ spl6_59 ),
inference(avatar_component_clause,[],[f631]) ).
fof(f9923,plain,
( spl6_310
| ~ spl6_4
| ~ spl6_6
| ~ spl6_71 ),
inference(avatar_split_clause,[],[f9514,f813,f260,f250,f9920]) ).
fof(f9920,plain,
( spl6_310
<=> sdtlseqdt0(xp,sdtpldt0(sz10,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_310])]) ).
fof(f813,plain,
( spl6_71
<=> sdtpldt0(sz10,xp) = sdtpldt0(xp,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_71])]) ).
fof(f9514,plain,
( sdtlseqdt0(xp,sdtpldt0(sz10,xp))
| ~ spl6_4
| ~ spl6_6
| ~ spl6_71 ),
inference(subsumption_resolution,[],[f9513,f252]) ).
fof(f9513,plain,
( sdtlseqdt0(xp,sdtpldt0(sz10,xp))
| ~ aNaturalNumber0(xp)
| ~ spl6_6
| ~ spl6_71 ),
inference(subsumption_resolution,[],[f9471,f262]) ).
fof(f9471,plain,
( sdtlseqdt0(xp,sdtpldt0(sz10,xp))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ spl6_71 ),
inference(superposition,[],[f2214,f815]) ).
fof(f815,plain,
( sdtpldt0(sz10,xp) = sdtpldt0(xp,sz10)
| ~ spl6_71 ),
inference(avatar_component_clause,[],[f813]) ).
fof(f9918,plain,
( spl6_309
| ~ spl6_3
| ~ spl6_6
| ~ spl6_69 ),
inference(avatar_split_clause,[],[f9512,f778,f260,f245,f9915]) ).
fof(f9915,plain,
( spl6_309
<=> sdtlseqdt0(xm,sdtpldt0(sz10,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_309])]) ).
fof(f778,plain,
( spl6_69
<=> sdtpldt0(sz10,xm) = sdtpldt0(xm,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_69])]) ).
fof(f9512,plain,
( sdtlseqdt0(xm,sdtpldt0(sz10,xm))
| ~ spl6_3
| ~ spl6_6
| ~ spl6_69 ),
inference(subsumption_resolution,[],[f9511,f247]) ).
fof(f9511,plain,
( sdtlseqdt0(xm,sdtpldt0(sz10,xm))
| ~ aNaturalNumber0(xm)
| ~ spl6_6
| ~ spl6_69 ),
inference(subsumption_resolution,[],[f9470,f262]) ).
fof(f9470,plain,
( sdtlseqdt0(xm,sdtpldt0(sz10,xm))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ spl6_69 ),
inference(superposition,[],[f2214,f780]) ).
fof(f780,plain,
( sdtpldt0(sz10,xm) = sdtpldt0(xm,sz10)
| ~ spl6_69 ),
inference(avatar_component_clause,[],[f778]) ).
fof(f9913,plain,
( spl6_308
| ~ spl6_2
| ~ spl6_6
| ~ spl6_66 ),
inference(avatar_split_clause,[],[f9510,f748,f260,f240,f9910]) ).
fof(f9910,plain,
( spl6_308
<=> sdtlseqdt0(xn,sdtpldt0(sz10,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_308])]) ).
fof(f748,plain,
( spl6_66
<=> sdtpldt0(sz10,xn) = sdtpldt0(xn,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_66])]) ).
fof(f9510,plain,
( sdtlseqdt0(xn,sdtpldt0(sz10,xn))
| ~ spl6_2
| ~ spl6_6
| ~ spl6_66 ),
inference(subsumption_resolution,[],[f9509,f242]) ).
fof(f9509,plain,
( sdtlseqdt0(xn,sdtpldt0(sz10,xn))
| ~ aNaturalNumber0(xn)
| ~ spl6_6
| ~ spl6_66 ),
inference(subsumption_resolution,[],[f9469,f262]) ).
fof(f9469,plain,
( sdtlseqdt0(xn,sdtpldt0(sz10,xn))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ spl6_66 ),
inference(superposition,[],[f2214,f750]) ).
fof(f750,plain,
( sdtpldt0(sz10,xn) = sdtpldt0(xn,sz10)
| ~ spl6_66 ),
inference(avatar_component_clause,[],[f748]) ).
fof(f9908,plain,
( spl6_307
| ~ spl6_3
| ~ spl6_4
| ~ spl6_74 ),
inference(avatar_split_clause,[],[f9260,f857,f250,f245,f9905]) ).
fof(f9905,plain,
( spl6_307
<=> doDivides0(xp,sdtasdt0(xm,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_307])]) ).
fof(f857,plain,
( spl6_74
<=> sdtasdt0(xp,xm) = sdtasdt0(xm,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_74])]) ).
fof(f9260,plain,
( doDivides0(xp,sdtasdt0(xm,xp))
| ~ spl6_3
| ~ spl6_4
| ~ spl6_74 ),
inference(subsumption_resolution,[],[f9259,f252]) ).
fof(f9259,plain,
( doDivides0(xp,sdtasdt0(xm,xp))
| ~ aNaturalNumber0(xp)
| ~ spl6_3
| ~ spl6_74 ),
inference(subsumption_resolution,[],[f9078,f247]) ).
fof(f9078,plain,
( doDivides0(xp,sdtasdt0(xm,xp))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xp)
| ~ spl6_74 ),
inference(superposition,[],[f2005,f859]) ).
fof(f859,plain,
( sdtasdt0(xp,xm) = sdtasdt0(xm,xp)
| ~ spl6_74 ),
inference(avatar_component_clause,[],[f857]) ).
fof(f9903,plain,
( spl6_306
| ~ spl6_2
| ~ spl6_4
| ~ spl6_73 ),
inference(avatar_split_clause,[],[f9251,f837,f250,f240,f9900]) ).
fof(f9900,plain,
( spl6_306
<=> doDivides0(xp,sdtasdt0(xn,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_306])]) ).
fof(f837,plain,
( spl6_73
<=> sdtasdt0(xp,xn) = sdtasdt0(xn,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_73])]) ).
fof(f9251,plain,
( doDivides0(xp,sdtasdt0(xn,xp))
| ~ spl6_2
| ~ spl6_4
| ~ spl6_73 ),
inference(subsumption_resolution,[],[f9250,f252]) ).
fof(f9250,plain,
( doDivides0(xp,sdtasdt0(xn,xp))
| ~ aNaturalNumber0(xp)
| ~ spl6_2
| ~ spl6_73 ),
inference(subsumption_resolution,[],[f9073,f242]) ).
fof(f9073,plain,
( doDivides0(xp,sdtasdt0(xn,xp))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xp)
| ~ spl6_73 ),
inference(superposition,[],[f2005,f839]) ).
fof(f839,plain,
( sdtasdt0(xp,xn) = sdtasdt0(xn,xp)
| ~ spl6_73 ),
inference(avatar_component_clause,[],[f837]) ).
fof(f9898,plain,
( spl6_305
| ~ spl6_2
| ~ spl6_3
| ~ spl6_72 ),
inference(avatar_split_clause,[],[f9249,f832,f245,f240,f9895]) ).
fof(f9895,plain,
( spl6_305
<=> doDivides0(xm,sdtasdt0(xn,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_305])]) ).
fof(f832,plain,
( spl6_72
<=> sdtasdt0(xm,xn) = sdtasdt0(xn,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_72])]) ).
fof(f9249,plain,
( doDivides0(xm,sdtasdt0(xn,xm))
| ~ spl6_2
| ~ spl6_3
| ~ spl6_72 ),
inference(subsumption_resolution,[],[f9248,f247]) ).
fof(f9248,plain,
( doDivides0(xm,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xm)
| ~ spl6_2
| ~ spl6_72 ),
inference(subsumption_resolution,[],[f9072,f242]) ).
fof(f9072,plain,
( doDivides0(xm,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ spl6_72 ),
inference(superposition,[],[f2005,f834]) ).
fof(f834,plain,
( sdtasdt0(xm,xn) = sdtasdt0(xn,xm)
| ~ spl6_72 ),
inference(avatar_component_clause,[],[f832]) ).
fof(f9893,plain,
( spl6_303
| ~ spl6_6
| ~ spl6_52
| ~ spl6_62 ),
inference(avatar_split_clause,[],[f9245,f651,f589,f260,f9884]) ).
fof(f9245,plain,
( doDivides0(sz10,sdtasdt0(xn,xn))
| ~ spl6_6
| ~ spl6_52
| ~ spl6_62 ),
inference(subsumption_resolution,[],[f9244,f262]) ).
fof(f9244,plain,
( doDivides0(sz10,sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sz10)
| ~ spl6_52
| ~ spl6_62 ),
inference(subsumption_resolution,[],[f9069,f591]) ).
fof(f9069,plain,
( doDivides0(sz10,sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sz10)
| ~ spl6_62 ),
inference(superposition,[],[f2005,f653]) ).
fof(f9892,plain,
( spl6_304
| ~ spl6_4
| ~ spl6_15
| ~ spl6_52 ),
inference(avatar_split_clause,[],[f1789,f589,f304,f250,f9889]) ).
fof(f1789,plain,
( sdtasdt0(xn,xn) = sdtasdt0(xp,sK4(xp,sdtasdt0(xn,xn)))
| ~ spl6_4
| ~ spl6_15
| ~ spl6_52 ),
inference(subsumption_resolution,[],[f1788,f252]) ).
fof(f1788,plain,
( sdtasdt0(xn,xn) = sdtasdt0(xp,sK4(xp,sdtasdt0(xn,xn)))
| ~ aNaturalNumber0(xp)
| ~ spl6_15
| ~ spl6_52 ),
inference(subsumption_resolution,[],[f1782,f591]) ).
fof(f1782,plain,
( sdtasdt0(xn,xn) = sdtasdt0(xp,sK4(xp,sdtasdt0(xn,xn)))
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ aNaturalNumber0(xp)
| ~ spl6_15 ),
inference(resolution,[],[f212,f306]) ).
fof(f9887,plain,
( spl6_303
| ~ spl6_6
| ~ spl6_48
| ~ spl6_57
| ~ spl6_61 ),
inference(avatar_split_clause,[],[f9243,f646,f621,f551,f260,f9884]) ).
fof(f621,plain,
( spl6_57
<=> sdtasdt0(xm,xm) = sdtasdt0(sz10,sdtasdt0(xm,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_57])]) ).
fof(f9243,plain,
( doDivides0(sz10,sdtasdt0(xn,xn))
| ~ spl6_6
| ~ spl6_48
| ~ spl6_57
| ~ spl6_61 ),
inference(forward_demodulation,[],[f9242,f647]) ).
fof(f9242,plain,
( doDivides0(sz10,sdtasdt0(xm,xm))
| ~ spl6_6
| ~ spl6_48
| ~ spl6_57 ),
inference(subsumption_resolution,[],[f9241,f262]) ).
fof(f9241,plain,
( doDivides0(sz10,sdtasdt0(xm,xm))
| ~ aNaturalNumber0(sz10)
| ~ spl6_48
| ~ spl6_57 ),
inference(subsumption_resolution,[],[f9068,f553]) ).
fof(f9068,plain,
( doDivides0(sz10,sdtasdt0(xm,xm))
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ~ aNaturalNumber0(sz10)
| ~ spl6_57 ),
inference(superposition,[],[f2005,f623]) ).
fof(f623,plain,
( sdtasdt0(xm,xm) = sdtasdt0(sz10,sdtasdt0(xm,xm))
| ~ spl6_57 ),
inference(avatar_component_clause,[],[f621]) ).
fof(f9882,plain,
( spl6_302
| ~ spl6_5
| ~ spl6_47
| ~ spl6_188 ),
inference(avatar_split_clause,[],[f9149,f3589,f547,f255,f9879]) ).
fof(f9879,plain,
( spl6_302
<=> doDivides0(sdtasdt0(xq,xq),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_302])]) ).
fof(f3589,plain,
( spl6_188
<=> sz00 = sdtasdt0(sdtasdt0(xq,xq),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_188])]) ).
fof(f9149,plain,
( doDivides0(sdtasdt0(xq,xq),sz00)
| ~ spl6_5
| ~ spl6_47
| ~ spl6_188 ),
inference(subsumption_resolution,[],[f9148,f548]) ).
fof(f9148,plain,
( doDivides0(sdtasdt0(xq,xq),sz00)
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ spl6_5
| ~ spl6_188 ),
inference(subsumption_resolution,[],[f9013,f257]) ).
fof(f9013,plain,
( doDivides0(sdtasdt0(xq,xq),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ spl6_188 ),
inference(superposition,[],[f2005,f3591]) ).
fof(f3591,plain,
( sz00 = sdtasdt0(sdtasdt0(xq,xq),sz00)
| ~ spl6_188 ),
inference(avatar_component_clause,[],[f3589]) ).
fof(f9877,plain,
( spl6_301
| ~ spl6_5
| ~ spl6_52
| ~ spl6_56 ),
inference(avatar_split_clause,[],[f9147,f614,f589,f255,f9873]) ).
fof(f9873,plain,
( spl6_301
<=> doDivides0(sdtasdt0(xn,xn),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_301])]) ).
fof(f614,plain,
( spl6_56
<=> sz00 = sdtasdt0(sdtasdt0(xn,xn),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_56])]) ).
fof(f9147,plain,
( doDivides0(sdtasdt0(xn,xn),sz00)
| ~ spl6_5
| ~ spl6_52
| ~ spl6_56 ),
inference(subsumption_resolution,[],[f9146,f591]) ).
fof(f9146,plain,
( doDivides0(sdtasdt0(xn,xn),sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ spl6_5
| ~ spl6_56 ),
inference(subsumption_resolution,[],[f9012,f257]) ).
fof(f9012,plain,
( doDivides0(sdtasdt0(xn,xn),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ spl6_56 ),
inference(superposition,[],[f2005,f616]) ).
fof(f616,plain,
( sz00 = sdtasdt0(sdtasdt0(xn,xn),sz00)
| ~ spl6_56 ),
inference(avatar_component_clause,[],[f614]) ).
fof(f9876,plain,
( spl6_301
| ~ spl6_5
| ~ spl6_48
| ~ spl6_51
| ~ spl6_61 ),
inference(avatar_split_clause,[],[f9145,f646,f581,f551,f255,f9873]) ).
fof(f581,plain,
( spl6_51
<=> sz00 = sdtasdt0(sdtasdt0(xm,xm),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_51])]) ).
fof(f9145,plain,
( doDivides0(sdtasdt0(xn,xn),sz00)
| ~ spl6_5
| ~ spl6_48
| ~ spl6_51
| ~ spl6_61 ),
inference(forward_demodulation,[],[f9144,f647]) ).
fof(f9144,plain,
( doDivides0(sdtasdt0(xm,xm),sz00)
| ~ spl6_5
| ~ spl6_48
| ~ spl6_51 ),
inference(subsumption_resolution,[],[f9143,f553]) ).
fof(f9143,plain,
( doDivides0(sdtasdt0(xm,xm),sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ~ spl6_5
| ~ spl6_51 ),
inference(subsumption_resolution,[],[f9011,f257]) ).
fof(f9011,plain,
( doDivides0(sdtasdt0(xm,xm),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ~ spl6_51 ),
inference(superposition,[],[f2005,f583]) ).
fof(f583,plain,
( sz00 = sdtasdt0(sdtasdt0(xm,xm),sz00)
| ~ spl6_51 ),
inference(avatar_component_clause,[],[f581]) ).
fof(f9871,plain,
( ~ spl6_300
| ~ spl6_2
| ~ spl6_3
| spl6_149
| ~ spl6_299 ),
inference(avatar_split_clause,[],[f9857,f9844,f2429,f245,f240,f9868]) ).
fof(f9868,plain,
( spl6_300
<=> isPrime0(xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_300])]) ).
fof(f2429,plain,
( spl6_149
<=> doDivides0(xm,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_149])]) ).
fof(f9844,plain,
( spl6_299
<=> doDivides0(xm,sdtasdt0(xn,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_299])]) ).
fof(f9857,plain,
( ~ isPrime0(xm)
| ~ spl6_2
| ~ spl6_3
| spl6_149
| ~ spl6_299 ),
inference(subsumption_resolution,[],[f9856,f242]) ).
fof(f9856,plain,
( ~ isPrime0(xm)
| ~ aNaturalNumber0(xn)
| ~ spl6_3
| spl6_149
| ~ spl6_299 ),
inference(subsumption_resolution,[],[f9855,f247]) ).
fof(f9855,plain,
( ~ isPrime0(xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| spl6_149
| ~ spl6_299 ),
inference(subsumption_resolution,[],[f9854,f2430]) ).
fof(f2430,plain,
( ~ doDivides0(xm,xn)
| spl6_149 ),
inference(avatar_component_clause,[],[f2429]) ).
fof(f9854,plain,
( doDivides0(xm,xn)
| ~ isPrime0(xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ spl6_299 ),
inference(duplicate_literal_removal,[],[f9848]) ).
fof(f9848,plain,
( doDivides0(xm,xn)
| doDivides0(xm,xn)
| ~ isPrime0(xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xn)
| ~ spl6_299 ),
inference(resolution,[],[f9846,f221]) ).
fof(f221,plain,
! [X2,X0,X1] :
( ~ doDivides0(X2,sdtasdt0(X0,X1))
| doDivides0(X2,X0)
| doDivides0(X2,X1)
| ~ isPrime0(X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0,X1,X2] :
( doDivides0(X2,X1)
| doDivides0(X2,X0)
| ~ doDivides0(X2,sdtasdt0(X0,X1))
| ~ isPrime0(X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f108]) ).
fof(f108,plain,
! [X0,X1,X2] :
( doDivides0(X2,X1)
| doDivides0(X2,X0)
| ~ doDivides0(X2,sdtasdt0(X0,X1))
| ~ isPrime0(X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X2,sdtasdt0(X0,X1))
& isPrime0(X2) )
=> ( doDivides0(X2,X1)
| doDivides0(X2,X0) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.7LS3zoPI9a/Vampire---4.8_3333',mPDP) ).
fof(f9846,plain,
( doDivides0(xm,sdtasdt0(xn,xn))
| ~ spl6_299 ),
inference(avatar_component_clause,[],[f9844]) ).
fof(f9847,plain,
( spl6_299
| ~ spl6_3
| ~ spl6_61 ),
inference(avatar_split_clause,[],[f9258,f646,f245,f9844]) ).
fof(f9258,plain,
( doDivides0(xm,sdtasdt0(xn,xn))
| ~ spl6_3
| ~ spl6_61 ),
inference(subsumption_resolution,[],[f9104,f247]) ).
fof(f9104,plain,
( doDivides0(xm,sdtasdt0(xn,xn))
| ~ aNaturalNumber0(xm)
| ~ spl6_61 ),
inference(duplicate_literal_removal,[],[f9077]) ).
fof(f9077,plain,
( doDivides0(xm,sdtasdt0(xn,xn))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xm)
| ~ spl6_61 ),
inference(superposition,[],[f2005,f647]) ).
fof(f9819,plain,
( spl6_298
| ~ spl6_5
| ~ spl6_259
| ~ spl6_265 ),
inference(avatar_split_clause,[],[f9547,f8696,f8430,f255,f9816]) ).
fof(f9816,plain,
( spl6_298
<=> sdtlseqdt0(sz00,sK3(xq)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_298])]) ).
fof(f8696,plain,
( spl6_265
<=> sK3(xq) = sdtpldt0(sz00,sK3(xq)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_265])]) ).
fof(f9547,plain,
( sdtlseqdt0(sz00,sK3(xq))
| ~ spl6_5
| ~ spl6_259
| ~ spl6_265 ),
inference(subsumption_resolution,[],[f9546,f257]) ).
fof(f9546,plain,
( sdtlseqdt0(sz00,sK3(xq))
| ~ aNaturalNumber0(sz00)
| ~ spl6_259
| ~ spl6_265 ),
inference(subsumption_resolution,[],[f9489,f8431]) ).
fof(f9489,plain,
( sdtlseqdt0(sz00,sK3(xq))
| ~ aNaturalNumber0(sK3(xq))
| ~ aNaturalNumber0(sz00)
| ~ spl6_265 ),
inference(superposition,[],[f2214,f8698]) ).
fof(f8698,plain,
( sK3(xq) = sdtpldt0(sz00,sK3(xq))
| ~ spl6_265 ),
inference(avatar_component_clause,[],[f8696]) ).
fof(f9814,plain,
( spl6_297
| ~ spl6_6
| ~ spl6_259
| ~ spl6_267 ),
inference(avatar_split_clause,[],[f9295,f8706,f8430,f260,f9811]) ).
fof(f9811,plain,
( spl6_297
<=> doDivides0(sz10,sK3(xq)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_297])]) ).
fof(f8706,plain,
( spl6_267
<=> sK3(xq) = sdtasdt0(sz10,sK3(xq)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_267])]) ).
fof(f9295,plain,
( doDivides0(sz10,sK3(xq))
| ~ spl6_6
| ~ spl6_259
| ~ spl6_267 ),
inference(subsumption_resolution,[],[f9294,f262]) ).
fof(f9294,plain,
( doDivides0(sz10,sK3(xq))
| ~ aNaturalNumber0(sz10)
| ~ spl6_259
| ~ spl6_267 ),
inference(subsumption_resolution,[],[f9095,f8431]) ).
fof(f9095,plain,
( doDivides0(sz10,sK3(xq))
| ~ aNaturalNumber0(sK3(xq))
| ~ aNaturalNumber0(sz10)
| ~ spl6_267 ),
inference(superposition,[],[f2005,f8708]) ).
fof(f8708,plain,
( sK3(xq) = sdtasdt0(sz10,sK3(xq))
| ~ spl6_267 ),
inference(avatar_component_clause,[],[f8706]) ).
fof(f9737,plain,
( ~ spl6_296
| ~ spl6_5
| ~ spl6_150
| spl6_256
| ~ spl6_289 ),
inference(avatar_split_clause,[],[f9685,f9660,f7696,f2436,f255,f9734]) ).
fof(f9734,plain,
( spl6_296
<=> sdtlseqdt0(sK3(xp),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_296])]) ).
fof(f7696,plain,
( spl6_256
<=> sz00 = sK3(xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_256])]) ).
fof(f9660,plain,
( spl6_289
<=> sdtlseqdt0(sz00,sK3(xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_289])]) ).
fof(f9685,plain,
( ~ sdtlseqdt0(sK3(xp),sz00)
| ~ spl6_5
| ~ spl6_150
| spl6_256
| ~ spl6_289 ),
inference(subsumption_resolution,[],[f9684,f2437]) ).
fof(f9684,plain,
( ~ sdtlseqdt0(sK3(xp),sz00)
| ~ aNaturalNumber0(sK3(xp))
| ~ spl6_5
| spl6_256
| ~ spl6_289 ),
inference(subsumption_resolution,[],[f9683,f257]) ).
fof(f9683,plain,
( ~ sdtlseqdt0(sK3(xp),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xp))
| spl6_256
| ~ spl6_289 ),
inference(subsumption_resolution,[],[f9678,f7697]) ).
fof(f7697,plain,
( sz00 != sK3(xp)
| spl6_256 ),
inference(avatar_component_clause,[],[f7696]) ).
fof(f9678,plain,
( sz00 = sK3(xp)
| ~ sdtlseqdt0(sK3(xp),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xp))
| ~ spl6_289 ),
inference(resolution,[],[f9662,f210]) ).
fof(f9662,plain,
( sdtlseqdt0(sz00,sK3(xp))
| ~ spl6_289 ),
inference(avatar_component_clause,[],[f9660]) ).
fof(f9732,plain,
( spl6_295
| ~ spl6_5
| ~ spl6_233
| ~ spl6_239 ),
inference(avatar_split_clause,[],[f9543,f6009,f5897,f255,f9729]) ).
fof(f9729,plain,
( spl6_295
<=> sdtlseqdt0(sz00,sK3(xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_295])]) ).
fof(f6009,plain,
( spl6_239
<=> sK3(xm) = sdtpldt0(sz00,sK3(xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_239])]) ).
fof(f9543,plain,
( sdtlseqdt0(sz00,sK3(xm))
| ~ spl6_5
| ~ spl6_233
| ~ spl6_239 ),
inference(subsumption_resolution,[],[f9542,f257]) ).
fof(f9542,plain,
( sdtlseqdt0(sz00,sK3(xm))
| ~ aNaturalNumber0(sz00)
| ~ spl6_233
| ~ spl6_239 ),
inference(subsumption_resolution,[],[f9487,f5898]) ).
fof(f9487,plain,
( sdtlseqdt0(sz00,sK3(xm))
| ~ aNaturalNumber0(sK3(xm))
| ~ aNaturalNumber0(sz00)
| ~ spl6_239 ),
inference(superposition,[],[f2214,f6011]) ).
fof(f6011,plain,
( sK3(xm) = sdtpldt0(sz00,sK3(xm))
| ~ spl6_239 ),
inference(avatar_component_clause,[],[f6009]) ).
fof(f9727,plain,
( spl6_294
| ~ spl6_5
| ~ spl6_217
| ~ spl6_229 ),
inference(avatar_split_clause,[],[f9541,f5345,f5007,f255,f9724]) ).
fof(f9724,plain,
( spl6_294
<=> sdtlseqdt0(sz00,sK3(xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_294])]) ).
fof(f5345,plain,
( spl6_229
<=> sK3(xn) = sdtpldt0(sz00,sK3(xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_229])]) ).
fof(f9541,plain,
( sdtlseqdt0(sz00,sK3(xn))
| ~ spl6_5
| ~ spl6_217
| ~ spl6_229 ),
inference(subsumption_resolution,[],[f9540,f257]) ).
fof(f9540,plain,
( sdtlseqdt0(sz00,sK3(xn))
| ~ aNaturalNumber0(sz00)
| ~ spl6_217
| ~ spl6_229 ),
inference(subsumption_resolution,[],[f9486,f5008]) ).
fof(f9486,plain,
( sdtlseqdt0(sz00,sK3(xn))
| ~ aNaturalNumber0(sK3(xn))
| ~ aNaturalNumber0(sz00)
| ~ spl6_229 ),
inference(superposition,[],[f2214,f5347]) ).
fof(f5347,plain,
( sK3(xn) = sdtpldt0(sz00,sK3(xn))
| ~ spl6_229 ),
inference(avatar_component_clause,[],[f5345]) ).
fof(f9705,plain,
( spl6_293
| ~ spl6_5
| ~ spl6_213
| ~ spl6_225 ),
inference(avatar_split_clause,[],[f9539,f5325,f4925,f255,f9702]) ).
fof(f9702,plain,
( spl6_293
<=> sdtlseqdt0(sz00,sK2(xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_293])]) ).
fof(f5325,plain,
( spl6_225
<=> sK2(xn) = sdtpldt0(sz00,sK2(xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_225])]) ).
fof(f9539,plain,
( sdtlseqdt0(sz00,sK2(xn))
| ~ spl6_5
| ~ spl6_213
| ~ spl6_225 ),
inference(subsumption_resolution,[],[f9538,f257]) ).
fof(f9538,plain,
( sdtlseqdt0(sz00,sK2(xn))
| ~ aNaturalNumber0(sz00)
| ~ spl6_213
| ~ spl6_225 ),
inference(subsumption_resolution,[],[f9485,f4926]) ).
fof(f9485,plain,
( sdtlseqdt0(sz00,sK2(xn))
| ~ aNaturalNumber0(sK2(xn))
| ~ aNaturalNumber0(sz00)
| ~ spl6_225 ),
inference(superposition,[],[f2214,f5327]) ).
fof(f5327,plain,
( sK2(xn) = sdtpldt0(sz00,sK2(xn))
| ~ spl6_225 ),
inference(avatar_component_clause,[],[f5325]) ).
fof(f9700,plain,
( spl6_292
| ~ spl6_6
| ~ spl6_233
| ~ spl6_241 ),
inference(avatar_split_clause,[],[f9287,f6019,f5897,f260,f9697]) ).
fof(f9697,plain,
( spl6_292
<=> doDivides0(sz10,sK3(xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_292])]) ).
fof(f6019,plain,
( spl6_241
<=> sK3(xm) = sdtasdt0(sz10,sK3(xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_241])]) ).
fof(f9287,plain,
( doDivides0(sz10,sK3(xm))
| ~ spl6_6
| ~ spl6_233
| ~ spl6_241 ),
inference(subsumption_resolution,[],[f9286,f262]) ).
fof(f9286,plain,
( doDivides0(sz10,sK3(xm))
| ~ aNaturalNumber0(sz10)
| ~ spl6_233
| ~ spl6_241 ),
inference(subsumption_resolution,[],[f9091,f5898]) ).
fof(f9091,plain,
( doDivides0(sz10,sK3(xm))
| ~ aNaturalNumber0(sK3(xm))
| ~ aNaturalNumber0(sz10)
| ~ spl6_241 ),
inference(superposition,[],[f2005,f6021]) ).
fof(f6021,plain,
( sK3(xm) = sdtasdt0(sz10,sK3(xm))
| ~ spl6_241 ),
inference(avatar_component_clause,[],[f6019]) ).
fof(f9695,plain,
( spl6_291
| ~ spl6_6
| ~ spl6_217
| ~ spl6_231 ),
inference(avatar_split_clause,[],[f9283,f5355,f5007,f260,f9692]) ).
fof(f9692,plain,
( spl6_291
<=> doDivides0(sz10,sK3(xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_291])]) ).
fof(f5355,plain,
( spl6_231
<=> sK3(xn) = sdtasdt0(sz10,sK3(xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_231])]) ).
fof(f9283,plain,
( doDivides0(sz10,sK3(xn))
| ~ spl6_6
| ~ spl6_217
| ~ spl6_231 ),
inference(subsumption_resolution,[],[f9282,f262]) ).
fof(f9282,plain,
( doDivides0(sz10,sK3(xn))
| ~ aNaturalNumber0(sz10)
| ~ spl6_217
| ~ spl6_231 ),
inference(subsumption_resolution,[],[f9089,f5008]) ).
fof(f9089,plain,
( doDivides0(sz10,sK3(xn))
| ~ aNaturalNumber0(sK3(xn))
| ~ aNaturalNumber0(sz10)
| ~ spl6_231 ),
inference(superposition,[],[f2005,f5357]) ).
fof(f5357,plain,
( sK3(xn) = sdtasdt0(sz10,sK3(xn))
| ~ spl6_231 ),
inference(avatar_component_clause,[],[f5355]) ).
fof(f9690,plain,
( spl6_290
| ~ spl6_6
| ~ spl6_213
| ~ spl6_227 ),
inference(avatar_split_clause,[],[f9279,f5335,f4925,f260,f9687]) ).
fof(f9687,plain,
( spl6_290
<=> doDivides0(sz10,sK2(xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_290])]) ).
fof(f5335,plain,
( spl6_227
<=> sK2(xn) = sdtasdt0(sz10,sK2(xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_227])]) ).
fof(f9279,plain,
( doDivides0(sz10,sK2(xn))
| ~ spl6_6
| ~ spl6_213
| ~ spl6_227 ),
inference(subsumption_resolution,[],[f9278,f262]) ).
fof(f9278,plain,
( doDivides0(sz10,sK2(xn))
| ~ aNaturalNumber0(sz10)
| ~ spl6_213
| ~ spl6_227 ),
inference(subsumption_resolution,[],[f9087,f4926]) ).
fof(f9087,plain,
( doDivides0(sz10,sK2(xn))
| ~ aNaturalNumber0(sK2(xn))
| ~ aNaturalNumber0(sz10)
| ~ spl6_227 ),
inference(superposition,[],[f2005,f5337]) ).
fof(f5337,plain,
( sK2(xn) = sdtasdt0(sz10,sK2(xn))
| ~ spl6_227 ),
inference(avatar_component_clause,[],[f5335]) ).
fof(f9663,plain,
( spl6_289
| ~ spl6_5
| ~ spl6_150
| ~ spl6_156 ),
inference(avatar_split_clause,[],[f9545,f2590,f2436,f255,f9660]) ).
fof(f2590,plain,
( spl6_156
<=> sK3(xp) = sdtpldt0(sz00,sK3(xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_156])]) ).
fof(f9545,plain,
( sdtlseqdt0(sz00,sK3(xp))
| ~ spl6_5
| ~ spl6_150
| ~ spl6_156 ),
inference(subsumption_resolution,[],[f9544,f257]) ).
fof(f9544,plain,
( sdtlseqdt0(sz00,sK3(xp))
| ~ aNaturalNumber0(sz00)
| ~ spl6_150
| ~ spl6_156 ),
inference(subsumption_resolution,[],[f9488,f2437]) ).
fof(f9488,plain,
( sdtlseqdt0(sz00,sK3(xp))
| ~ aNaturalNumber0(sK3(xp))
| ~ aNaturalNumber0(sz00)
| ~ spl6_156 ),
inference(superposition,[],[f2214,f2592]) ).
fof(f2592,plain,
( sK3(xp) = sdtpldt0(sz00,sK3(xp))
| ~ spl6_156 ),
inference(avatar_component_clause,[],[f2590]) ).
fof(f9658,plain,
( spl6_288
| ~ spl6_6
| ~ spl6_150
| ~ spl6_158 ),
inference(avatar_split_clause,[],[f9291,f2600,f2436,f260,f9655]) ).
fof(f9655,plain,
( spl6_288
<=> doDivides0(sz10,sK3(xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_288])]) ).
fof(f2600,plain,
( spl6_158
<=> sK3(xp) = sdtasdt0(sz10,sK3(xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_158])]) ).
fof(f9291,plain,
( doDivides0(sz10,sK3(xp))
| ~ spl6_6
| ~ spl6_150
| ~ spl6_158 ),
inference(subsumption_resolution,[],[f9290,f262]) ).
fof(f9290,plain,
( doDivides0(sz10,sK3(xp))
| ~ aNaturalNumber0(sz10)
| ~ spl6_150
| ~ spl6_158 ),
inference(subsumption_resolution,[],[f9093,f2437]) ).
fof(f9093,plain,
( doDivides0(sz10,sK3(xp))
| ~ aNaturalNumber0(sK3(xp))
| ~ aNaturalNumber0(sz10)
| ~ spl6_158 ),
inference(superposition,[],[f2005,f2602]) ).
fof(f2602,plain,
( sK3(xp) = sdtasdt0(sz10,sK3(xp))
| ~ spl6_158 ),
inference(avatar_component_clause,[],[f2600]) ).
fof(f9650,plain,
( ~ spl6_287
| ~ spl6_5
| ~ spl6_49
| spl6_181
| ~ spl6_286 ),
inference(avatar_split_clause,[],[f9645,f9619,f3383,f561,f255,f9647]) ).
fof(f9647,plain,
( spl6_287
<=> sdtlseqdt0(xq,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_287])]) ).
fof(f9645,plain,
( ~ sdtlseqdt0(xq,sz00)
| ~ spl6_5
| ~ spl6_49
| spl6_181
| ~ spl6_286 ),
inference(subsumption_resolution,[],[f9644,f562]) ).
fof(f9644,plain,
( ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(xq)
| ~ spl6_5
| spl6_181
| ~ spl6_286 ),
inference(subsumption_resolution,[],[f9643,f257]) ).
fof(f9643,plain,
( ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xq)
| spl6_181
| ~ spl6_286 ),
inference(subsumption_resolution,[],[f9638,f3384]) ).
fof(f9638,plain,
( sz00 = xq
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xq)
| ~ spl6_286 ),
inference(resolution,[],[f9621,f210]) ).
fof(f9622,plain,
( spl6_286
| ~ spl6_5
| ~ spl6_49
| ~ spl6_178 ),
inference(avatar_split_clause,[],[f9537,f3258,f561,f255,f9619]) ).
fof(f3258,plain,
( spl6_178
<=> xq = sdtpldt0(sz00,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_178])]) ).
fof(f9537,plain,
( sdtlseqdt0(sz00,xq)
| ~ spl6_5
| ~ spl6_49
| ~ spl6_178 ),
inference(subsumption_resolution,[],[f9536,f257]) ).
fof(f9536,plain,
( sdtlseqdt0(sz00,xq)
| ~ aNaturalNumber0(sz00)
| ~ spl6_49
| ~ spl6_178 ),
inference(subsumption_resolution,[],[f9484,f562]) ).
fof(f9484,plain,
( sdtlseqdt0(sz00,xq)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ spl6_178 ),
inference(superposition,[],[f2214,f3260]) ).
fof(f3260,plain,
( xq = sdtpldt0(sz00,xq)
| ~ spl6_178 ),
inference(avatar_component_clause,[],[f3258]) ).
fof(f9604,plain,
( spl6_285
| ~ spl6_6
| ~ spl6_49
| ~ spl6_180 ),
inference(avatar_split_clause,[],[f9275,f3285,f561,f260,f9601]) ).
fof(f3285,plain,
( spl6_180
<=> xq = sdtasdt0(sz10,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_180])]) ).
fof(f9275,plain,
( doDivides0(sz10,xq)
| ~ spl6_6
| ~ spl6_49
| ~ spl6_180 ),
inference(subsumption_resolution,[],[f9274,f262]) ).
fof(f9274,plain,
( doDivides0(sz10,xq)
| ~ aNaturalNumber0(sz10)
| ~ spl6_49
| ~ spl6_180 ),
inference(subsumption_resolution,[],[f9085,f562]) ).
fof(f9085,plain,
( doDivides0(sz10,xq)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz10)
| ~ spl6_180 ),
inference(superposition,[],[f2005,f3287]) ).
fof(f3287,plain,
( xq = sdtasdt0(sz10,xq)
| ~ spl6_180 ),
inference(avatar_component_clause,[],[f3285]) ).
fof(f9594,plain,
( ~ spl6_284
| ~ spl6_5
| ~ spl6_6
| spl6_11
| ~ spl6_282 ),
inference(avatar_split_clause,[],[f9579,f9566,f285,f260,f255,f9591]) ).
fof(f9591,plain,
( spl6_284
<=> sdtlseqdt0(sz10,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_284])]) ).
fof(f285,plain,
( spl6_11
<=> sz00 = sz10 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_11])]) ).
fof(f9579,plain,
( ~ sdtlseqdt0(sz10,sz00)
| ~ spl6_5
| ~ spl6_6
| spl6_11
| ~ spl6_282 ),
inference(subsumption_resolution,[],[f9578,f262]) ).
fof(f9578,plain,
( ~ sdtlseqdt0(sz10,sz00)
| ~ aNaturalNumber0(sz10)
| ~ spl6_5
| spl6_11
| ~ spl6_282 ),
inference(subsumption_resolution,[],[f9577,f257]) ).
fof(f9577,plain,
( ~ sdtlseqdt0(sz10,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz10)
| spl6_11
| ~ spl6_282 ),
inference(subsumption_resolution,[],[f9572,f287]) ).
fof(f287,plain,
( sz00 != sz10
| spl6_11 ),
inference(avatar_component_clause,[],[f285]) ).
fof(f9572,plain,
( sz00 = sz10
| ~ sdtlseqdt0(sz10,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz10)
| ~ spl6_282 ),
inference(resolution,[],[f9568,f210]) ).
fof(f9584,plain,
( ~ spl6_283
| ~ spl6_4
| ~ spl6_5
| spl6_9
| ~ spl6_281 ),
inference(avatar_split_clause,[],[f9564,f9549,f275,f255,f250,f9581]) ).
fof(f9581,plain,
( spl6_283
<=> sdtlseqdt0(xp,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_283])]) ).
fof(f9564,plain,
( ~ sdtlseqdt0(xp,sz00)
| ~ spl6_4
| ~ spl6_5
| spl6_9
| ~ spl6_281 ),
inference(subsumption_resolution,[],[f9563,f252]) ).
fof(f9563,plain,
( ~ sdtlseqdt0(xp,sz00)
| ~ aNaturalNumber0(xp)
| ~ spl6_5
| spl6_9
| ~ spl6_281 ),
inference(subsumption_resolution,[],[f9562,f257]) ).
fof(f9562,plain,
( ~ sdtlseqdt0(xp,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| spl6_9
| ~ spl6_281 ),
inference(subsumption_resolution,[],[f9557,f277]) ).
fof(f9557,plain,
( sz00 = xp
| ~ sdtlseqdt0(xp,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ spl6_281 ),
inference(resolution,[],[f9551,f210]) ).
fof(f9569,plain,
( spl6_282
| ~ spl6_5
| ~ spl6_6
| ~ spl6_37 ),
inference(avatar_split_clause,[],[f9508,f445,f260,f255,f9566]) ).
fof(f445,plain,
( spl6_37
<=> sz10 = sdtpldt0(sz00,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_37])]) ).
fof(f9508,plain,
( sdtlseqdt0(sz00,sz10)
| ~ spl6_5
| ~ spl6_6
| ~ spl6_37 ),
inference(subsumption_resolution,[],[f9507,f257]) ).
fof(f9507,plain,
( sdtlseqdt0(sz00,sz10)
| ~ aNaturalNumber0(sz00)
| ~ spl6_6
| ~ spl6_37 ),
inference(subsumption_resolution,[],[f9468,f262]) ).
fof(f9468,plain,
( sdtlseqdt0(sz00,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ spl6_37 ),
inference(superposition,[],[f2214,f447]) ).
fof(f447,plain,
( sz10 = sdtpldt0(sz00,sz10)
| ~ spl6_37 ),
inference(avatar_component_clause,[],[f445]) ).
fof(f9552,plain,
( spl6_281
| ~ spl6_4
| ~ spl6_5
| ~ spl6_35 ),
inference(avatar_split_clause,[],[f9533,f435,f255,f250,f9549]) ).
fof(f435,plain,
( spl6_35
<=> xp = sdtpldt0(sz00,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_35])]) ).
fof(f9533,plain,
( sdtlseqdt0(sz00,xp)
| ~ spl6_4
| ~ spl6_5
| ~ spl6_35 ),
inference(subsumption_resolution,[],[f9532,f257]) ).
fof(f9532,plain,
( sdtlseqdt0(sz00,xp)
| ~ aNaturalNumber0(sz00)
| ~ spl6_4
| ~ spl6_35 ),
inference(subsumption_resolution,[],[f9482,f252]) ).
fof(f9482,plain,
( sdtlseqdt0(sz00,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ spl6_35 ),
inference(superposition,[],[f2214,f437]) ).
fof(f437,plain,
( xp = sdtpldt0(sz00,xp)
| ~ spl6_35 ),
inference(avatar_component_clause,[],[f435]) ).
fof(f9451,plain,
( spl6_280
| ~ spl6_6
| ~ spl6_49
| ~ spl6_179 ),
inference(avatar_split_clause,[],[f9165,f3263,f561,f260,f9448]) ).
fof(f3263,plain,
( spl6_179
<=> xq = sdtasdt0(xq,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_179])]) ).
fof(f9165,plain,
( doDivides0(xq,xq)
| ~ spl6_6
| ~ spl6_49
| ~ spl6_179 ),
inference(subsumption_resolution,[],[f9164,f562]) ).
fof(f9164,plain,
( doDivides0(xq,xq)
| ~ aNaturalNumber0(xq)
| ~ spl6_6
| ~ spl6_179 ),
inference(subsumption_resolution,[],[f9030,f262]) ).
fof(f9030,plain,
( doDivides0(xq,xq)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xq)
| ~ spl6_179 ),
inference(superposition,[],[f2005,f3265]) ).
fof(f3265,plain,
( xq = sdtasdt0(xq,sz10)
| ~ spl6_179 ),
inference(avatar_component_clause,[],[f3263]) ).
fof(f9432,plain,
( spl6_279
| ~ spl6_6
| ~ spl6_41 ),
inference(avatar_split_clause,[],[f9152,f470,f260,f9429]) ).
fof(f470,plain,
( spl6_41
<=> sz10 = sdtasdt0(sz10,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_41])]) ).
fof(f9152,plain,
( doDivides0(sz10,sz10)
| ~ spl6_6
| ~ spl6_41 ),
inference(subsumption_resolution,[],[f9105,f262]) ).
fof(f9105,plain,
( doDivides0(sz10,sz10)
| ~ aNaturalNumber0(sz10)
| ~ spl6_41 ),
inference(duplicate_literal_removal,[],[f9024]) ).
fof(f9024,plain,
( doDivides0(sz10,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz10)
| ~ spl6_41 ),
inference(superposition,[],[f2005,f472]) ).
fof(f472,plain,
( sz10 = sdtasdt0(sz10,sz10)
| ~ spl6_41 ),
inference(avatar_component_clause,[],[f470]) ).
fof(f9327,plain,
( spl6_278
| ~ spl6_4
| ~ spl6_6
| ~ spl6_44 ),
inference(avatar_split_clause,[],[f9266,f506,f260,f250,f9324]) ).
fof(f506,plain,
( spl6_44
<=> xp = sdtasdt0(sz10,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_44])]) ).
fof(f9266,plain,
( doDivides0(sz10,xp)
| ~ spl6_4
| ~ spl6_6
| ~ spl6_44 ),
inference(subsumption_resolution,[],[f9265,f262]) ).
fof(f9265,plain,
( doDivides0(sz10,xp)
| ~ aNaturalNumber0(sz10)
| ~ spl6_4
| ~ spl6_44 ),
inference(subsumption_resolution,[],[f9081,f252]) ).
fof(f9081,plain,
( doDivides0(sz10,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz10)
| ~ spl6_44 ),
inference(superposition,[],[f2005,f508]) ).
fof(f508,plain,
( xp = sdtasdt0(sz10,xp)
| ~ spl6_44 ),
inference(avatar_component_clause,[],[f506]) ).
fof(f9322,plain,
( spl6_276
| ~ spl6_4
| ~ spl6_5
| ~ spl6_25 ),
inference(avatar_split_clause,[],[f9264,f374,f255,f250,f9312]) ).
fof(f374,plain,
( spl6_25
<=> sz00 = sdtasdt0(sz00,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_25])]) ).
fof(f9264,plain,
( doDivides0(sz00,sz00)
| ~ spl6_4
| ~ spl6_5
| ~ spl6_25 ),
inference(subsumption_resolution,[],[f9263,f257]) ).
fof(f9263,plain,
( doDivides0(sz00,sz00)
| ~ aNaturalNumber0(sz00)
| ~ spl6_4
| ~ spl6_25 ),
inference(subsumption_resolution,[],[f9080,f252]) ).
fof(f9080,plain,
( doDivides0(sz00,sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ spl6_25 ),
inference(superposition,[],[f2005,f376]) ).
fof(f376,plain,
( sz00 = sdtasdt0(sz00,xp)
| ~ spl6_25 ),
inference(avatar_component_clause,[],[f374]) ).
fof(f9321,plain,
( spl6_277
| ~ spl6_3
| ~ spl6_6
| ~ spl6_43 ),
inference(avatar_split_clause,[],[f9257,f501,f260,f245,f9318]) ).
fof(f501,plain,
( spl6_43
<=> xm = sdtasdt0(sz10,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_43])]) ).
fof(f9257,plain,
( doDivides0(sz10,xm)
| ~ spl6_3
| ~ spl6_6
| ~ spl6_43 ),
inference(subsumption_resolution,[],[f9256,f262]) ).
fof(f9256,plain,
( doDivides0(sz10,xm)
| ~ aNaturalNumber0(sz10)
| ~ spl6_3
| ~ spl6_43 ),
inference(subsumption_resolution,[],[f9076,f247]) ).
fof(f9076,plain,
( doDivides0(sz10,xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz10)
| ~ spl6_43 ),
inference(superposition,[],[f2005,f503]) ).
fof(f503,plain,
( xm = sdtasdt0(sz10,xm)
| ~ spl6_43 ),
inference(avatar_component_clause,[],[f501]) ).
fof(f9316,plain,
( spl6_276
| ~ spl6_3
| ~ spl6_5
| ~ spl6_24 ),
inference(avatar_split_clause,[],[f9255,f369,f255,f245,f9312]) ).
fof(f369,plain,
( spl6_24
<=> sz00 = sdtasdt0(sz00,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_24])]) ).
fof(f9255,plain,
( doDivides0(sz00,sz00)
| ~ spl6_3
| ~ spl6_5
| ~ spl6_24 ),
inference(subsumption_resolution,[],[f9254,f257]) ).
fof(f9254,plain,
( doDivides0(sz00,sz00)
| ~ aNaturalNumber0(sz00)
| ~ spl6_3
| ~ spl6_24 ),
inference(subsumption_resolution,[],[f9075,f247]) ).
fof(f9075,plain,
( doDivides0(sz00,sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00)
| ~ spl6_24 ),
inference(superposition,[],[f2005,f371]) ).
fof(f371,plain,
( sz00 = sdtasdt0(sz00,xm)
| ~ spl6_24 ),
inference(avatar_component_clause,[],[f369]) ).
fof(f9315,plain,
( spl6_276
| ~ spl6_2
| ~ spl6_5
| ~ spl6_23 ),
inference(avatar_split_clause,[],[f9247,f364,f255,f240,f9312]) ).
fof(f9247,plain,
( doDivides0(sz00,sz00)
| ~ spl6_2
| ~ spl6_5
| ~ spl6_23 ),
inference(subsumption_resolution,[],[f9246,f257]) ).
fof(f9246,plain,
( doDivides0(sz00,sz00)
| ~ aNaturalNumber0(sz00)
| ~ spl6_2
| ~ spl6_23 ),
inference(subsumption_resolution,[],[f9070,f242]) ).
fof(f9070,plain,
( doDivides0(sz00,sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz00)
| ~ spl6_23 ),
inference(superposition,[],[f2005,f366]) ).
fof(f9310,plain,
( spl6_275
| ~ spl6_4
| ~ spl6_6
| ~ spl6_40 ),
inference(avatar_split_clause,[],[f9163,f465,f260,f250,f9307]) ).
fof(f465,plain,
( spl6_40
<=> xp = sdtasdt0(xp,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_40])]) ).
fof(f9163,plain,
( doDivides0(xp,xp)
| ~ spl6_4
| ~ spl6_6
| ~ spl6_40 ),
inference(subsumption_resolution,[],[f9162,f252]) ).
fof(f9162,plain,
( doDivides0(xp,xp)
| ~ aNaturalNumber0(xp)
| ~ spl6_6
| ~ spl6_40 ),
inference(subsumption_resolution,[],[f9029,f262]) ).
fof(f9029,plain,
( doDivides0(xp,xp)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ spl6_40 ),
inference(superposition,[],[f2005,f467]) ).
fof(f467,plain,
( xp = sdtasdt0(xp,sz10)
| ~ spl6_40 ),
inference(avatar_component_clause,[],[f465]) ).
fof(f9305,plain,
( spl6_274
| ~ spl6_3
| ~ spl6_6
| ~ spl6_39 ),
inference(avatar_split_clause,[],[f9161,f460,f260,f245,f9302]) ).
fof(f460,plain,
( spl6_39
<=> xm = sdtasdt0(xm,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_39])]) ).
fof(f9161,plain,
( doDivides0(xm,xm)
| ~ spl6_3
| ~ spl6_6
| ~ spl6_39 ),
inference(subsumption_resolution,[],[f9160,f247]) ).
fof(f9160,plain,
( doDivides0(xm,xm)
| ~ aNaturalNumber0(xm)
| ~ spl6_6
| ~ spl6_39 ),
inference(subsumption_resolution,[],[f9028,f262]) ).
fof(f9028,plain,
( doDivides0(xm,xm)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ spl6_39 ),
inference(superposition,[],[f2005,f462]) ).
fof(f462,plain,
( xm = sdtasdt0(xm,sz10)
| ~ spl6_39 ),
inference(avatar_component_clause,[],[f460]) ).
fof(f9300,plain,
( spl6_273
| ~ spl6_2
| ~ spl6_6
| ~ spl6_38 ),
inference(avatar_split_clause,[],[f9159,f455,f260,f240,f9297]) ).
fof(f455,plain,
( spl6_38
<=> xn = sdtasdt0(xn,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_38])]) ).
fof(f9159,plain,
( doDivides0(xn,xn)
| ~ spl6_2
| ~ spl6_6
| ~ spl6_38 ),
inference(subsumption_resolution,[],[f9158,f242]) ).
fof(f9158,plain,
( doDivides0(xn,xn)
| ~ aNaturalNumber0(xn)
| ~ spl6_6
| ~ spl6_38 ),
inference(subsumption_resolution,[],[f9027,f262]) ).
fof(f9027,plain,
( doDivides0(xn,xn)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ spl6_38 ),
inference(superposition,[],[f2005,f457]) ).
fof(f457,plain,
( xn = sdtasdt0(xn,sz10)
| ~ spl6_38 ),
inference(avatar_component_clause,[],[f455]) ).
fof(f8977,plain,
( spl6_272
| ~ spl6_6
| ~ spl6_213 ),
inference(avatar_split_clause,[],[f4966,f4925,f260,f8974]) ).
fof(f8974,plain,
( spl6_272
<=> sz00 = sdtasdt0(sdtpldt0(sz10,sK2(xn)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_272])]) ).
fof(f4966,plain,
( sz00 = sdtasdt0(sdtpldt0(sz10,sK2(xn)),sz00)
| ~ spl6_6
| ~ spl6_213 ),
inference(resolution,[],[f4926,f1185]) ).
fof(f8971,plain,
( spl6_271
| ~ spl6_4
| ~ spl6_213 ),
inference(avatar_split_clause,[],[f4964,f4925,f250,f8968]) ).
fof(f8968,plain,
( spl6_271
<=> sz00 = sdtasdt0(sz00,sdtpldt0(xp,sK2(xn))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_271])]) ).
fof(f4964,plain,
( sz00 = sdtasdt0(sz00,sdtpldt0(xp,sK2(xn)))
| ~ spl6_4
| ~ spl6_213 ),
inference(resolution,[],[f4926,f989]) ).
fof(f8966,plain,
( spl6_270
| ~ spl6_3
| ~ spl6_213 ),
inference(avatar_split_clause,[],[f4963,f4925,f245,f8963]) ).
fof(f8963,plain,
( spl6_270
<=> sz00 = sdtasdt0(sz00,sdtpldt0(xm,sK2(xn))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_270])]) ).
fof(f4963,plain,
( sz00 = sdtasdt0(sz00,sdtpldt0(xm,sK2(xn)))
| ~ spl6_3
| ~ spl6_213 ),
inference(resolution,[],[f4926,f988]) ).
fof(f8961,plain,
( spl6_269
| ~ spl6_2
| ~ spl6_213 ),
inference(avatar_split_clause,[],[f4962,f4925,f240,f8958]) ).
fof(f8958,plain,
( spl6_269
<=> sz00 = sdtasdt0(sz00,sdtpldt0(xn,sK2(xn))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_269])]) ).
fof(f4962,plain,
( sz00 = sdtasdt0(sz00,sdtpldt0(xn,sK2(xn)))
| ~ spl6_2
| ~ spl6_213 ),
inference(resolution,[],[f4926,f987]) ).
fof(f8956,plain,
( spl6_268
| ~ spl6_6
| ~ spl6_213 ),
inference(avatar_split_clause,[],[f4961,f4925,f260,f8953]) ).
fof(f8953,plain,
( spl6_268
<=> sz00 = sdtasdt0(sz00,sdtpldt0(sz10,sK2(xn))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_268])]) ).
fof(f4961,plain,
( sz00 = sdtasdt0(sz00,sdtpldt0(sz10,sK2(xn)))
| ~ spl6_6
| ~ spl6_213 ),
inference(resolution,[],[f4926,f982]) ).
fof(f8709,plain,
( spl6_267
| ~ spl6_259 ),
inference(avatar_split_clause,[],[f8448,f8430,f8706]) ).
fof(f8448,plain,
( sK3(xq) = sdtasdt0(sz10,sK3(xq))
| ~ spl6_259 ),
inference(resolution,[],[f8431,f169]) ).
fof(f169,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sz10,X0) = X0 ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,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.7LS3zoPI9a/Vampire---4.8_3333',m_MulUnit) ).
fof(f8704,plain,
( spl6_266
| ~ spl6_259 ),
inference(avatar_split_clause,[],[f8447,f8430,f8701]) ).
fof(f8447,plain,
( sK3(xq) = sdtasdt0(sK3(xq),sz10)
| ~ spl6_259 ),
inference(resolution,[],[f8431,f168]) ).
fof(f168,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sz10) = X0 ),
inference(cnf_transformation,[],[f59]) ).
fof(f8699,plain,
( spl6_265
| ~ spl6_259 ),
inference(avatar_split_clause,[],[f8446,f8430,f8696]) ).
fof(f8446,plain,
( sK3(xq) = sdtpldt0(sz00,sK3(xq))
| ~ spl6_259 ),
inference(resolution,[],[f8431,f167]) ).
fof(f167,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sz00,X0) = X0 ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,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.7LS3zoPI9a/Vampire---4.8_3333',m_AddZero) ).
fof(f8694,plain,
( spl6_264
| ~ spl6_259 ),
inference(avatar_split_clause,[],[f8445,f8430,f8691]) ).
fof(f8445,plain,
( sK3(xq) = sdtpldt0(sK3(xq),sz00)
| ~ spl6_259 ),
inference(resolution,[],[f8431,f166]) ).
fof(f166,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sz00) = X0 ),
inference(cnf_transformation,[],[f58]) ).
fof(f8689,plain,
( spl6_263
| ~ spl6_5
| ~ spl6_49
| ~ spl6_258 ),
inference(avatar_split_clause,[],[f8428,f8419,f561,f255,f8686]) ).
fof(f8686,plain,
( spl6_263
<=> sz00 = sdtasdt0(xq,sK4(xq,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_263])]) ).
fof(f8419,plain,
( spl6_258
<=> doDivides0(xq,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_258])]) ).
fof(f8428,plain,
( sz00 = sdtasdt0(xq,sK4(xq,sz00))
| ~ spl6_5
| ~ spl6_49
| ~ spl6_258 ),
inference(subsumption_resolution,[],[f8427,f562]) ).
fof(f8427,plain,
( sz00 = sdtasdt0(xq,sK4(xq,sz00))
| ~ aNaturalNumber0(xq)
| ~ spl6_5
| ~ spl6_258 ),
inference(subsumption_resolution,[],[f8424,f257]) ).
fof(f8424,plain,
( sz00 = sdtasdt0(xq,sK4(xq,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xq)
| ~ spl6_258 ),
inference(resolution,[],[f8421,f212]) ).
fof(f8421,plain,
( doDivides0(xq,sz00)
| ~ spl6_258 ),
inference(avatar_component_clause,[],[f8419]) ).
fof(f8494,plain,
( spl6_262
| ~ spl6_259 ),
inference(avatar_split_clause,[],[f8444,f8430,f8491]) ).
fof(f8491,plain,
( spl6_262
<=> sz00 = sdtasdt0(sz00,sK3(xq)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_262])]) ).
fof(f8444,plain,
( sz00 = sdtasdt0(sz00,sK3(xq))
| ~ spl6_259 ),
inference(resolution,[],[f8431,f165]) ).
fof(f8489,plain,
( spl6_261
| ~ spl6_259 ),
inference(avatar_split_clause,[],[f8443,f8430,f8486]) ).
fof(f8486,plain,
( spl6_261
<=> sz00 = sdtasdt0(sK3(xq),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_261])]) ).
fof(f8443,plain,
( sz00 = sdtasdt0(sK3(xq),sz00)
| ~ spl6_259 ),
inference(resolution,[],[f8431,f164]) ).
fof(f8442,plain,
( ~ spl6_49
| spl6_181
| spl6_184
| spl6_259 ),
inference(avatar_contradiction_clause,[],[f8441]) ).
fof(f8441,plain,
( $false
| ~ spl6_49
| spl6_181
| spl6_184
| spl6_259 ),
inference(subsumption_resolution,[],[f8440,f562]) ).
fof(f8440,plain,
( ~ aNaturalNumber0(xq)
| spl6_181
| spl6_184
| spl6_259 ),
inference(subsumption_resolution,[],[f8439,f3384]) ).
fof(f8439,plain,
( sz00 = xq
| ~ aNaturalNumber0(xq)
| spl6_184
| spl6_259 ),
inference(subsumption_resolution,[],[f8438,f3423]) ).
fof(f3423,plain,
( sz10 != xq
| spl6_184 ),
inference(avatar_component_clause,[],[f3422]) ).
fof(f3422,plain,
( spl6_184
<=> sz10 = xq ),
introduced(avatar_definition,[new_symbols(naming,[spl6_184])]) ).
fof(f8438,plain,
( sz10 = xq
| sz00 = xq
| ~ aNaturalNumber0(xq)
| spl6_259 ),
inference(resolution,[],[f8432,f184]) ).
fof(f8432,plain,
( ~ aNaturalNumber0(sK3(xq))
| spl6_259 ),
inference(avatar_component_clause,[],[f8430]) ).
fof(f8437,plain,
( ~ spl6_259
| spl6_260
| ~ spl6_5
| ~ spl6_49
| ~ spl6_177
| spl6_181
| spl6_184 ),
inference(avatar_split_clause,[],[f8417,f3422,f3383,f3253,f561,f255,f8434,f8430]) ).
fof(f8434,plain,
( spl6_260
<=> doDivides0(sK3(xq),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_260])]) ).
fof(f8417,plain,
( doDivides0(sK3(xq),sz00)
| ~ aNaturalNumber0(sK3(xq))
| ~ spl6_5
| ~ spl6_49
| ~ spl6_177
| spl6_181
| spl6_184 ),
inference(subsumption_resolution,[],[f8416,f562]) ).
fof(f8416,plain,
( doDivides0(sK3(xq),sz00)
| ~ aNaturalNumber0(sK3(xq))
| ~ aNaturalNumber0(xq)
| ~ spl6_5
| ~ spl6_49
| ~ spl6_177
| spl6_181
| spl6_184 ),
inference(subsumption_resolution,[],[f8415,f3384]) ).
fof(f8415,plain,
( doDivides0(sK3(xq),sz00)
| ~ aNaturalNumber0(sK3(xq))
| sz00 = xq
| ~ aNaturalNumber0(xq)
| ~ spl6_5
| ~ spl6_49
| ~ spl6_177
| spl6_184 ),
inference(subsumption_resolution,[],[f8409,f3423]) ).
fof(f8409,plain,
( doDivides0(sK3(xq),sz00)
| ~ aNaturalNumber0(sK3(xq))
| sz10 = xq
| sz00 = xq
| ~ aNaturalNumber0(xq)
| ~ spl6_5
| ~ spl6_49
| ~ spl6_177 ),
inference(resolution,[],[f3709,f185]) ).
fof(f3709,plain,
( ! [X7] :
( ~ doDivides0(X7,xq)
| doDivides0(X7,sz00)
| ~ aNaturalNumber0(X7) )
| ~ spl6_5
| ~ spl6_49
| ~ spl6_177 ),
inference(subsumption_resolution,[],[f3708,f562]) ).
fof(f3708,plain,
( ! [X7] :
( ~ doDivides0(X7,xq)
| doDivides0(X7,sz00)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X7) )
| ~ spl6_5
| ~ spl6_177 ),
inference(subsumption_resolution,[],[f3657,f257]) ).
fof(f3657,plain,
( ! [X7] :
( ~ doDivides0(X7,xq)
| doDivides0(X7,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X7) )
| ~ spl6_177 ),
inference(duplicate_literal_removal,[],[f3632]) ).
fof(f3632,plain,
( ! [X7] :
( ~ doDivides0(X7,xq)
| doDivides0(X7,sz00)
| ~ doDivides0(X7,xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X7) )
| ~ spl6_177 ),
inference(superposition,[],[f228,f3255]) ).
fof(f228,plain,
! [X2,X0,X1] :
( ~ doDivides0(X0,sdtpldt0(X1,X2))
| doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0,X1,X2] :
( doDivides0(X0,X2)
| ~ doDivides0(X0,sdtpldt0(X1,X2))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f116]) ).
fof(f116,plain,
! [X0,X1,X2] :
( doDivides0(X0,X2)
| ~ doDivides0(X0,sdtpldt0(X1,X2))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X0,sdtpldt0(X1,X2))
& doDivides0(X0,X1) )
=> doDivides0(X0,X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.7LS3zoPI9a/Vampire---4.8_3333',mDivMin) ).
fof(f8422,plain,
( spl6_258
| ~ spl6_2
| ~ spl6_4
| ~ spl6_5
| ~ spl6_6
| spl6_9
| ~ spl6_10
| ~ spl6_14
| ~ spl6_49
| ~ spl6_177
| ~ spl6_179 ),
inference(avatar_split_clause,[],[f8412,f3263,f3253,f561,f299,f280,f275,f260,f255,f250,f240,f8419]) ).
fof(f8412,plain,
( doDivides0(xq,sz00)
| ~ spl6_2
| ~ spl6_4
| ~ spl6_5
| ~ spl6_6
| spl6_9
| ~ spl6_10
| ~ spl6_14
| ~ spl6_49
| ~ spl6_177
| ~ spl6_179 ),
inference(subsumption_resolution,[],[f8410,f562]) ).
fof(f8410,plain,
( doDivides0(xq,sz00)
| ~ aNaturalNumber0(xq)
| ~ spl6_2
| ~ spl6_4
| ~ spl6_5
| ~ spl6_6
| spl6_9
| ~ spl6_10
| ~ spl6_14
| ~ spl6_49
| ~ spl6_177
| ~ spl6_179 ),
inference(trivial_inequality_removal,[],[f8407]) ).
fof(f8407,plain,
( doDivides0(xq,sz00)
| ~ aNaturalNumber0(xq)
| xq != xq
| ~ spl6_2
| ~ spl6_4
| ~ spl6_5
| ~ spl6_6
| spl6_9
| ~ spl6_10
| ~ spl6_14
| ~ spl6_49
| ~ spl6_177
| ~ spl6_179 ),
inference(resolution,[],[f3709,f3340]) ).
fof(f3340,plain,
( ! [X0] :
( doDivides0(xq,X0)
| xq != X0 )
| ~ spl6_2
| ~ spl6_4
| ~ spl6_6
| spl6_9
| ~ spl6_10
| ~ spl6_14
| ~ spl6_49
| ~ spl6_179 ),
inference(subsumption_resolution,[],[f3339,f3153]) ).
fof(f3153,plain,
( ! [X0] :
( xq != X0
| aNaturalNumber0(X0) )
| ~ spl6_2
| ~ spl6_4
| spl6_9
| ~ spl6_10
| ~ spl6_14 ),
inference(subsumption_resolution,[],[f3152,f252]) ).
fof(f3152,plain,
( ! [X0] :
( xq != X0
| aNaturalNumber0(X0)
| ~ aNaturalNumber0(xp) )
| ~ spl6_2
| spl6_9
| ~ spl6_10
| ~ spl6_14 ),
inference(subsumption_resolution,[],[f3151,f242]) ).
fof(f3151,plain,
( ! [X0] :
( xq != X0
| aNaturalNumber0(X0)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xp) )
| spl6_9
| ~ spl6_10
| ~ spl6_14 ),
inference(subsumption_resolution,[],[f3150,f277]) ).
fof(f3150,plain,
( ! [X0] :
( xq != X0
| aNaturalNumber0(X0)
| sz00 = xp
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xp) )
| ~ spl6_10
| ~ spl6_14 ),
inference(subsumption_resolution,[],[f3148,f282]) ).
fof(f3148,plain,
( ! [X0] :
( xq != X0
| aNaturalNumber0(X0)
| ~ doDivides0(xp,xn)
| sz00 = xp
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xp) )
| ~ spl6_14 ),
inference(superposition,[],[f206,f301]) ).
fof(f206,plain,
! [X2,X0,X1] :
( sdtsldt0(X1,X0) != X2
| aNaturalNumber0(X2)
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f3339,plain,
( ! [X0] :
( xq != X0
| doDivides0(xq,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_6
| ~ spl6_49
| ~ spl6_179 ),
inference(subsumption_resolution,[],[f3338,f562]) ).
fof(f3338,plain,
( ! [X0] :
( xq != X0
| doDivides0(xq,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xq) )
| ~ spl6_6
| ~ spl6_179 ),
inference(subsumption_resolution,[],[f3335,f262]) ).
fof(f3335,plain,
( ! [X0] :
( xq != X0
| doDivides0(xq,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xq) )
| ~ spl6_179 ),
inference(superposition,[],[f213,f3265]) ).
fof(f7703,plain,
( spl6_256
| spl6_257
| ~ spl6_6
| ~ spl6_150
| ~ spl6_158 ),
inference(avatar_split_clause,[],[f2779,f2600,f2436,f260,f7700,f7696]) ).
fof(f7700,plain,
( spl6_257
<=> sdtlseqdt0(sz10,sK3(xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_257])]) ).
fof(f2779,plain,
( sdtlseqdt0(sz10,sK3(xp))
| sz00 = sK3(xp)
| ~ spl6_6
| ~ spl6_150
| ~ spl6_158 ),
inference(subsumption_resolution,[],[f2778,f2437]) ).
fof(f2778,plain,
( sdtlseqdt0(sz10,sK3(xp))
| sz00 = sK3(xp)
| ~ aNaturalNumber0(sK3(xp))
| ~ spl6_6
| ~ spl6_158 ),
inference(subsumption_resolution,[],[f2774,f262]) ).
fof(f2774,plain,
( sdtlseqdt0(sz10,sK3(xp))
| sz00 = sK3(xp)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK3(xp))
| ~ spl6_158 ),
inference(superposition,[],[f193,f2602]) ).
fof(f7075,plain,
( ~ spl6_254
| spl6_255
| ~ spl6_2
| ~ spl6_150
| ~ spl6_152 ),
inference(avatar_split_clause,[],[f2563,f2551,f2436,f240,f7072,f7068]) ).
fof(f7068,plain,
( spl6_254
<=> sdtlseqdt0(xn,sK3(xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_254])]) ).
fof(f7072,plain,
( spl6_255
<=> xn = sK3(xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_255])]) ).
fof(f2551,plain,
( spl6_152
<=> sdtlseqdt0(sK3(xp),xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_152])]) ).
fof(f2563,plain,
( xn = sK3(xp)
| ~ sdtlseqdt0(xn,sK3(xp))
| ~ spl6_2
| ~ spl6_150
| ~ spl6_152 ),
inference(subsumption_resolution,[],[f2562,f242]) ).
fof(f2562,plain,
( xn = sK3(xp)
| ~ sdtlseqdt0(xn,sK3(xp))
| ~ aNaturalNumber0(xn)
| ~ spl6_150
| ~ spl6_152 ),
inference(subsumption_resolution,[],[f2557,f2437]) ).
fof(f2557,plain,
( xn = sK3(xp)
| ~ sdtlseqdt0(xn,sK3(xp))
| ~ aNaturalNumber0(sK3(xp))
| ~ aNaturalNumber0(xn)
| ~ spl6_152 ),
inference(resolution,[],[f2553,f210]) ).
fof(f2553,plain,
( sdtlseqdt0(sK3(xp),xn)
| ~ spl6_152 ),
inference(avatar_component_clause,[],[f2551]) ).
fof(f7064,plain,
( ~ spl6_253
| ~ spl6_2
| ~ spl6_3
| ~ spl6_6
| ~ spl6_147
| spl6_149 ),
inference(avatar_split_clause,[],[f7059,f2429,f2411,f260,f245,f240,f7061]) ).
fof(f7061,plain,
( spl6_253
<=> doDivides0(xm,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_253])]) ).
fof(f2411,plain,
( spl6_147
<=> doDivides0(sz10,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_147])]) ).
fof(f7059,plain,
( ~ doDivides0(xm,sz10)
| ~ spl6_2
| ~ spl6_3
| ~ spl6_6
| ~ spl6_147
| spl6_149 ),
inference(subsumption_resolution,[],[f7049,f247]) ).
fof(f7049,plain,
( ~ doDivides0(xm,sz10)
| ~ aNaturalNumber0(xm)
| ~ spl6_2
| ~ spl6_6
| ~ spl6_147
| spl6_149 ),
inference(resolution,[],[f2421,f2430]) ).
fof(f2421,plain,
( ! [X0] :
( doDivides0(X0,xn)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(X0) )
| ~ spl6_2
| ~ spl6_6
| ~ spl6_147 ),
inference(subsumption_resolution,[],[f2420,f262]) ).
fof(f2420,plain,
( ! [X0] :
( doDivides0(X0,xn)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) )
| ~ spl6_2
| ~ spl6_147 ),
inference(subsumption_resolution,[],[f2416,f242]) ).
fof(f2416,plain,
( ! [X0] :
( doDivides0(X0,xn)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) )
| ~ spl6_147 ),
inference(resolution,[],[f2413,f226]) ).
fof(f226,plain,
! [X2,X0,X1] :
( ~ doDivides0(X1,X2)
| doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0,X1,X2] :
( doDivides0(X0,X2)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f112]) ).
fof(f112,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.7LS3zoPI9a/Vampire---4.8_3333',mDivTrans) ).
fof(f2413,plain,
( doDivides0(sz10,xn)
| ~ spl6_147 ),
inference(avatar_component_clause,[],[f2411]) ).
fof(f6985,plain,
( spl6_252
| ~ spl6_3
| ~ spl6_5
| spl6_8
| ~ spl6_237
| ~ spl6_242
| ~ spl6_243 ),
inference(avatar_split_clause,[],[f6980,f6067,f6063,f5999,f270,f255,f245,f6982]) ).
fof(f5999,plain,
( spl6_237
<=> sz00 = sdtasdt0(xm,sK4(xm,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_237])]) ).
fof(f6980,plain,
( sz00 = sdtsldt0(sz00,xm)
| ~ spl6_3
| ~ spl6_5
| spl6_8
| ~ spl6_237
| ~ spl6_242
| ~ spl6_243 ),
inference(subsumption_resolution,[],[f6979,f257]) ).
fof(f6979,plain,
( sz00 = sdtsldt0(sz00,xm)
| ~ aNaturalNumber0(sz00)
| ~ spl6_3
| spl6_8
| ~ spl6_237
| ~ spl6_242
| ~ spl6_243 ),
inference(equality_resolution,[],[f6975]) ).
fof(f6975,plain,
( ! [X112] :
( sz00 != X112
| sz00 = sdtsldt0(X112,xm)
| ~ aNaturalNumber0(X112) )
| ~ spl6_3
| spl6_8
| ~ spl6_237
| ~ spl6_242
| ~ spl6_243 ),
inference(forward_demodulation,[],[f6974,f6069]) ).
fof(f6974,plain,
( ! [X112] :
( sz00 != X112
| sK4(xm,sz00) = sdtsldt0(X112,xm)
| ~ aNaturalNumber0(X112) )
| ~ spl6_3
| spl6_8
| ~ spl6_237
| ~ spl6_242 ),
inference(subsumption_resolution,[],[f6973,f247]) ).
fof(f6973,plain,
( ! [X112] :
( sz00 != X112
| sK4(xm,sz00) = sdtsldt0(X112,xm)
| ~ aNaturalNumber0(X112)
| ~ aNaturalNumber0(xm) )
| spl6_8
| ~ spl6_237
| ~ spl6_242 ),
inference(subsumption_resolution,[],[f6972,f272]) ).
fof(f6972,plain,
( ! [X112] :
( sz00 != X112
| sK4(xm,sz00) = sdtsldt0(X112,xm)
| sz00 = xm
| ~ aNaturalNumber0(X112)
| ~ aNaturalNumber0(xm) )
| ~ spl6_237
| ~ spl6_242 ),
inference(subsumption_resolution,[],[f6790,f6064]) ).
fof(f6790,plain,
( ! [X112] :
( sz00 != X112
| sK4(xm,sz00) = sdtsldt0(X112,xm)
| ~ aNaturalNumber0(sK4(xm,sz00))
| sz00 = xm
| ~ aNaturalNumber0(X112)
| ~ aNaturalNumber0(xm) )
| ~ spl6_237 ),
inference(superposition,[],[f6636,f6001]) ).
fof(f6001,plain,
( sz00 = sdtasdt0(xm,sK4(xm,sz00))
| ~ spl6_237 ),
inference(avatar_component_clause,[],[f5999]) ).
fof(f6636,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X2) != X1
| sdtsldt0(X1,X0) = X2
| ~ aNaturalNumber0(X2)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(subsumption_resolution,[],[f208,f213]) ).
fof(f208,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,[],[f136]) ).
fof(f6678,plain,
( ~ spl6_251
| ~ spl6_2
| ~ spl6_4
| spl6_9
| ~ spl6_10
| ~ spl6_14
| ~ spl6_138
| spl6_247 ),
inference(avatar_split_clause,[],[f6673,f6622,f1773,f299,f280,f275,f250,f240,f6675]) ).
fof(f1773,plain,
( spl6_138
<=> sdtasdt0(xn,xn) = sdtasdt0(xp,sdtasdt0(xn,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_138])]) ).
fof(f6622,plain,
( spl6_247
<=> xn = xq ),
introduced(avatar_definition,[new_symbols(naming,[spl6_247])]) ).
fof(f6673,plain,
( sdtasdt0(xn,xn) != xq
| ~ spl6_2
| ~ spl6_4
| spl6_9
| ~ spl6_10
| ~ spl6_14
| ~ spl6_138
| spl6_247 ),
inference(subsumption_resolution,[],[f6578,f6623]) ).
fof(f6623,plain,
( xn != xq
| spl6_247 ),
inference(avatar_component_clause,[],[f6622]) ).
fof(f6578,plain,
( xn = xq
| sdtasdt0(xn,xn) != xq
| ~ spl6_2
| ~ spl6_4
| spl6_9
| ~ spl6_10
| ~ spl6_14
| ~ spl6_138 ),
inference(inner_rewriting,[],[f6554]) ).
fof(f6554,plain,
( xn = sdtasdt0(xn,xn)
| sdtasdt0(xn,xn) != xq
| ~ spl6_2
| ~ spl6_4
| spl6_9
| ~ spl6_10
| ~ spl6_14
| ~ spl6_138 ),
inference(superposition,[],[f6549,f1775]) ).
fof(f1775,plain,
( sdtasdt0(xn,xn) = sdtasdt0(xp,sdtasdt0(xn,xn))
| ~ spl6_138 ),
inference(avatar_component_clause,[],[f1773]) ).
fof(f6672,plain,
( ~ spl6_249
| spl6_250
| ~ spl6_2
| ~ spl6_4
| spl6_9
| ~ spl6_10
| ~ spl6_14
| ~ spl6_74 ),
inference(avatar_split_clause,[],[f6556,f857,f299,f280,f275,f250,f240,f6669,f6665]) ).
fof(f6665,plain,
( spl6_249
<=> xm = xq ),
introduced(avatar_definition,[new_symbols(naming,[spl6_249])]) ).
fof(f6669,plain,
( spl6_250
<=> xn = sdtasdt0(xm,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_250])]) ).
fof(f6556,plain,
( xn = sdtasdt0(xm,xp)
| xm != xq
| ~ spl6_2
| ~ spl6_4
| spl6_9
| ~ spl6_10
| ~ spl6_14
| ~ spl6_74 ),
inference(superposition,[],[f6549,f859]) ).
fof(f6635,plain,
( spl6_248
| ~ spl6_2
| ~ spl6_49
| ~ spl6_244 ),
inference(avatar_split_clause,[],[f6608,f6598,f561,f240,f6632]) ).
fof(f6632,plain,
( spl6_248
<=> xn = sdtpldt0(xq,sK5(xq,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_248])]) ).
fof(f6598,plain,
( spl6_244
<=> sdtlseqdt0(xq,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_244])]) ).
fof(f6608,plain,
( xn = sdtpldt0(xq,sK5(xq,xn))
| ~ spl6_2
| ~ spl6_49
| ~ spl6_244 ),
inference(subsumption_resolution,[],[f6607,f562]) ).
fof(f6607,plain,
( xn = sdtpldt0(xq,sK5(xq,xn))
| ~ aNaturalNumber0(xq)
| ~ spl6_2
| ~ spl6_244 ),
inference(subsumption_resolution,[],[f6603,f242]) ).
fof(f6603,plain,
( xn = sdtpldt0(xq,sK5(xq,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xq)
| ~ spl6_244 ),
inference(resolution,[],[f6600,f215]) ).
fof(f6600,plain,
( sdtlseqdt0(xq,xn)
| ~ spl6_244 ),
inference(avatar_component_clause,[],[f6598]) ).
fof(f6625,plain,
( ~ spl6_246
| spl6_247
| ~ spl6_2
| ~ spl6_49
| ~ spl6_244 ),
inference(avatar_split_clause,[],[f6610,f6598,f561,f240,f6622,f6618]) ).
fof(f6618,plain,
( spl6_246
<=> sdtlseqdt0(xn,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_246])]) ).
fof(f6610,plain,
( xn = xq
| ~ sdtlseqdt0(xn,xq)
| ~ spl6_2
| ~ spl6_49
| ~ spl6_244 ),
inference(subsumption_resolution,[],[f6609,f242]) ).
fof(f6609,plain,
( xn = xq
| ~ sdtlseqdt0(xn,xq)
| ~ aNaturalNumber0(xn)
| ~ spl6_49
| ~ spl6_244 ),
inference(subsumption_resolution,[],[f6604,f562]) ).
fof(f6604,plain,
( xn = xq
| ~ sdtlseqdt0(xn,xq)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn)
| ~ spl6_244 ),
inference(resolution,[],[f6600,f210]) ).
fof(f6616,plain,
( ~ spl6_245
| ~ spl6_2
| ~ spl6_4
| spl6_7
| spl6_9
| ~ spl6_10
| ~ spl6_14
| ~ spl6_223 ),
inference(avatar_split_clause,[],[f6582,f5315,f299,f280,f275,f265,f250,f240,f6612]) ).
fof(f6612,plain,
( spl6_245
<=> xq = sK4(xp,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_245])]) ).
fof(f5315,plain,
( spl6_223
<=> sz00 = sdtasdt0(xp,sK4(xp,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_223])]) ).
fof(f6582,plain,
( xq != sK4(xp,sz00)
| ~ spl6_2
| ~ spl6_4
| spl6_7
| spl6_9
| ~ spl6_10
| ~ spl6_14
| ~ spl6_223 ),
inference(subsumption_resolution,[],[f6566,f267]) ).
fof(f6566,plain,
( sz00 = xn
| xq != sK4(xp,sz00)
| ~ spl6_2
| ~ spl6_4
| spl6_9
| ~ spl6_10
| ~ spl6_14
| ~ spl6_223 ),
inference(superposition,[],[f5317,f6549]) ).
fof(f5317,plain,
( sz00 = sdtasdt0(xp,sK4(xp,sz00))
| ~ spl6_223 ),
inference(avatar_component_clause,[],[f5315]) ).
fof(f6615,plain,
( ~ spl6_245
| ~ spl6_2
| ~ spl6_4
| spl6_7
| spl6_9
| ~ spl6_10
| ~ spl6_14
| ~ spl6_223 ),
inference(avatar_split_clause,[],[f6579,f5315,f299,f280,f275,f265,f250,f240,f6612]) ).
fof(f6579,plain,
( xq != sK4(xp,sz00)
| ~ spl6_2
| ~ spl6_4
| spl6_7
| spl6_9
| ~ spl6_10
| ~ spl6_14
| ~ spl6_223 ),
inference(subsumption_resolution,[],[f6557,f267]) ).
fof(f6557,plain,
( sz00 = xn
| xq != sK4(xp,sz00)
| ~ spl6_2
| ~ spl6_4
| spl6_9
| ~ spl6_10
| ~ spl6_14
| ~ spl6_223 ),
inference(superposition,[],[f6549,f5317]) ).
fof(f6601,plain,
( spl6_244
| ~ spl6_2
| ~ spl6_4
| spl6_9
| ~ spl6_10
| ~ spl6_14
| ~ spl6_207 ),
inference(avatar_split_clause,[],[f6576,f4624,f299,f280,f275,f250,f240,f6598]) ).
fof(f4624,plain,
( spl6_207
<=> sdtlseqdt0(xq,sdtasdt0(xp,xq)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_207])]) ).
fof(f6576,plain,
( sdtlseqdt0(xq,xn)
| ~ spl6_2
| ~ spl6_4
| spl6_9
| ~ spl6_10
| ~ spl6_14
| ~ spl6_207 ),
inference(trivial_inequality_removal,[],[f6565]) ).
fof(f6565,plain,
( sdtlseqdt0(xq,xn)
| xq != xq
| ~ spl6_2
| ~ spl6_4
| spl6_9
| ~ spl6_10
| ~ spl6_14
| ~ spl6_207 ),
inference(superposition,[],[f4626,f6549]) ).
fof(f4626,plain,
( sdtlseqdt0(xq,sdtasdt0(xp,xq))
| ~ spl6_207 ),
inference(avatar_component_clause,[],[f4624]) ).
fof(f6075,plain,
( ~ spl6_3
| ~ spl6_5
| ~ spl6_232
| spl6_242 ),
inference(avatar_contradiction_clause,[],[f6074]) ).
fof(f6074,plain,
( $false
| ~ spl6_3
| ~ spl6_5
| ~ spl6_232
| spl6_242 ),
inference(subsumption_resolution,[],[f6073,f247]) ).
fof(f6073,plain,
( ~ aNaturalNumber0(xm)
| ~ spl6_5
| ~ spl6_232
| spl6_242 ),
inference(subsumption_resolution,[],[f6072,f257]) ).
fof(f6072,plain,
( ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ spl6_232
| spl6_242 ),
inference(subsumption_resolution,[],[f6071,f5888]) ).
fof(f6071,plain,
( ~ doDivides0(xm,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| spl6_242 ),
inference(resolution,[],[f6065,f211]) ).
fof(f211,plain,
! [X0,X1] :
( aNaturalNumber0(sK4(X0,X1))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f140]) ).
fof(f6065,plain,
( ~ aNaturalNumber0(sK4(xm,sz00))
| spl6_242 ),
inference(avatar_component_clause,[],[f6063]) ).
fof(f6070,plain,
( ~ spl6_242
| spl6_243
| ~ spl6_3
| spl6_186
| ~ spl6_237 ),
inference(avatar_split_clause,[],[f6059,f5999,f3473,f245,f6067,f6063]) ).
fof(f3473,plain,
( spl6_186
<=> sdtlseqdt0(xm,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_186])]) ).
fof(f6059,plain,
( sz00 = sK4(xm,sz00)
| ~ aNaturalNumber0(sK4(xm,sz00))
| ~ spl6_3
| spl6_186
| ~ spl6_237 ),
inference(subsumption_resolution,[],[f6058,f247]) ).
fof(f6058,plain,
( sz00 = sK4(xm,sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK4(xm,sz00))
| spl6_186
| ~ spl6_237 ),
inference(subsumption_resolution,[],[f6048,f3475]) ).
fof(f3475,plain,
( ~ sdtlseqdt0(xm,sz00)
| spl6_186 ),
inference(avatar_component_clause,[],[f3473]) ).
fof(f6048,plain,
( sdtlseqdt0(xm,sz00)
| sz00 = sK4(xm,sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK4(xm,sz00))
| ~ spl6_237 ),
inference(superposition,[],[f193,f6001]) ).
fof(f6022,plain,
( spl6_241
| ~ spl6_233 ),
inference(avatar_split_clause,[],[f5934,f5897,f6019]) ).
fof(f5934,plain,
( sK3(xm) = sdtasdt0(sz10,sK3(xm))
| ~ spl6_233 ),
inference(resolution,[],[f5898,f169]) ).
fof(f6017,plain,
( spl6_240
| ~ spl6_233 ),
inference(avatar_split_clause,[],[f5933,f5897,f6014]) ).
fof(f5933,plain,
( sK3(xm) = sdtasdt0(sK3(xm),sz10)
| ~ spl6_233 ),
inference(resolution,[],[f5898,f168]) ).
fof(f6012,plain,
( spl6_239
| ~ spl6_233 ),
inference(avatar_split_clause,[],[f5932,f5897,f6009]) ).
fof(f5932,plain,
( sK3(xm) = sdtpldt0(sz00,sK3(xm))
| ~ spl6_233 ),
inference(resolution,[],[f5898,f167]) ).
fof(f6007,plain,
( spl6_238
| ~ spl6_233 ),
inference(avatar_split_clause,[],[f5931,f5897,f6004]) ).
fof(f5931,plain,
( sK3(xm) = sdtpldt0(sK3(xm),sz00)
| ~ spl6_233 ),
inference(resolution,[],[f5898,f166]) ).
fof(f6002,plain,
( spl6_237
| ~ spl6_3
| ~ spl6_5
| ~ spl6_232 ),
inference(avatar_split_clause,[],[f5895,f5886,f255,f245,f5999]) ).
fof(f5895,plain,
( sz00 = sdtasdt0(xm,sK4(xm,sz00))
| ~ spl6_3
| ~ spl6_5
| ~ spl6_232 ),
inference(subsumption_resolution,[],[f5894,f247]) ).
fof(f5894,plain,
( sz00 = sdtasdt0(xm,sK4(xm,sz00))
| ~ aNaturalNumber0(xm)
| ~ spl6_5
| ~ spl6_232 ),
inference(subsumption_resolution,[],[f5891,f257]) ).
fof(f5891,plain,
( sz00 = sdtasdt0(xm,sK4(xm,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ spl6_232 ),
inference(resolution,[],[f5888,f212]) ).
fof(f5979,plain,
( spl6_236
| ~ spl6_233 ),
inference(avatar_split_clause,[],[f5930,f5897,f5976]) ).
fof(f5976,plain,
( spl6_236
<=> sz00 = sdtasdt0(sz00,sK3(xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_236])]) ).
fof(f5930,plain,
( sz00 = sdtasdt0(sz00,sK3(xm))
| ~ spl6_233 ),
inference(resolution,[],[f5898,f165]) ).
fof(f5974,plain,
( spl6_235
| ~ spl6_233 ),
inference(avatar_split_clause,[],[f5929,f5897,f5971]) ).
fof(f5971,plain,
( spl6_235
<=> sz00 = sdtasdt0(sK3(xm),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_235])]) ).
fof(f5929,plain,
( sz00 = sdtasdt0(sK3(xm),sz00)
| ~ spl6_233 ),
inference(resolution,[],[f5898,f164]) ).
fof(f5909,plain,
( ~ spl6_3
| spl6_8
| spl6_135
| spl6_233 ),
inference(avatar_contradiction_clause,[],[f5908]) ).
fof(f5908,plain,
( $false
| ~ spl6_3
| spl6_8
| spl6_135
| spl6_233 ),
inference(subsumption_resolution,[],[f5907,f247]) ).
fof(f5907,plain,
( ~ aNaturalNumber0(xm)
| spl6_8
| spl6_135
| spl6_233 ),
inference(subsumption_resolution,[],[f5906,f272]) ).
fof(f5906,plain,
( sz00 = xm
| ~ aNaturalNumber0(xm)
| spl6_135
| spl6_233 ),
inference(subsumption_resolution,[],[f5905,f1726]) ).
fof(f1726,plain,
( sz10 != xm
| spl6_135 ),
inference(avatar_component_clause,[],[f1725]) ).
fof(f1725,plain,
( spl6_135
<=> sz10 = xm ),
introduced(avatar_definition,[new_symbols(naming,[spl6_135])]) ).
fof(f5905,plain,
( sz10 = xm
| sz00 = xm
| ~ aNaturalNumber0(xm)
| spl6_233 ),
inference(resolution,[],[f5899,f184]) ).
fof(f5899,plain,
( ~ aNaturalNumber0(sK3(xm))
| spl6_233 ),
inference(avatar_component_clause,[],[f5897]) ).
fof(f5904,plain,
( ~ spl6_233
| spl6_234
| ~ spl6_3
| ~ spl6_5
| spl6_8
| ~ spl6_29
| spl6_135 ),
inference(avatar_split_clause,[],[f5884,f1725,f399,f270,f255,f245,f5901,f5897]) ).
fof(f5901,plain,
( spl6_234
<=> doDivides0(sK3(xm),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_234])]) ).
fof(f5884,plain,
( doDivides0(sK3(xm),sz00)
| ~ aNaturalNumber0(sK3(xm))
| ~ spl6_3
| ~ spl6_5
| spl6_8
| ~ spl6_29
| spl6_135 ),
inference(subsumption_resolution,[],[f5883,f247]) ).
fof(f5883,plain,
( doDivides0(sK3(xm),sz00)
| ~ aNaturalNumber0(sK3(xm))
| ~ aNaturalNumber0(xm)
| ~ spl6_3
| ~ spl6_5
| spl6_8
| ~ spl6_29
| spl6_135 ),
inference(subsumption_resolution,[],[f5882,f272]) ).
fof(f5882,plain,
( doDivides0(sK3(xm),sz00)
| ~ aNaturalNumber0(sK3(xm))
| sz00 = xm
| ~ aNaturalNumber0(xm)
| ~ spl6_3
| ~ spl6_5
| ~ spl6_29
| spl6_135 ),
inference(subsumption_resolution,[],[f5871,f1726]) ).
fof(f5871,plain,
( doDivides0(sK3(xm),sz00)
| ~ aNaturalNumber0(sK3(xm))
| sz10 = xm
| sz00 = xm
| ~ aNaturalNumber0(xm)
| ~ spl6_3
| ~ spl6_5
| ~ spl6_29 ),
inference(resolution,[],[f3705,f185]) ).
fof(f3705,plain,
( ! [X5] :
( ~ doDivides0(X5,xm)
| doDivides0(X5,sz00)
| ~ aNaturalNumber0(X5) )
| ~ spl6_3
| ~ spl6_5
| ~ spl6_29 ),
inference(subsumption_resolution,[],[f3704,f247]) ).
fof(f3704,plain,
( ! [X5] :
( ~ doDivides0(X5,xm)
| doDivides0(X5,sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X5) )
| ~ spl6_5
| ~ spl6_29 ),
inference(subsumption_resolution,[],[f3659,f257]) ).
fof(f3659,plain,
( ! [X5] :
( ~ doDivides0(X5,xm)
| doDivides0(X5,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X5) )
| ~ spl6_29 ),
inference(duplicate_literal_removal,[],[f3630]) ).
fof(f3630,plain,
( ! [X5] :
( ~ doDivides0(X5,xm)
| doDivides0(X5,sz00)
| ~ doDivides0(X5,xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X5) )
| ~ spl6_29 ),
inference(superposition,[],[f228,f401]) ).
fof(f5889,plain,
( spl6_232
| ~ spl6_3
| ~ spl6_5
| ~ spl6_6
| ~ spl6_29
| ~ spl6_39 ),
inference(avatar_split_clause,[],[f5876,f460,f399,f260,f255,f245,f5886]) ).
fof(f5876,plain,
( doDivides0(xm,sz00)
| ~ spl6_3
| ~ spl6_5
| ~ spl6_6
| ~ spl6_29
| ~ spl6_39 ),
inference(subsumption_resolution,[],[f5874,f247]) ).
fof(f5874,plain,
( doDivides0(xm,sz00)
| ~ aNaturalNumber0(xm)
| ~ spl6_3
| ~ spl6_5
| ~ spl6_6
| ~ spl6_29
| ~ spl6_39 ),
inference(trivial_inequality_removal,[],[f5873]) ).
fof(f5873,plain,
( doDivides0(xm,sz00)
| ~ aNaturalNumber0(xm)
| xm != xm
| ~ spl6_3
| ~ spl6_5
| ~ spl6_6
| ~ spl6_29
| ~ spl6_39 ),
inference(duplicate_literal_removal,[],[f5865]) ).
fof(f5865,plain,
( doDivides0(xm,sz00)
| ~ aNaturalNumber0(xm)
| xm != xm
| ~ aNaturalNumber0(xm)
| ~ spl6_3
| ~ spl6_5
| ~ spl6_6
| ~ spl6_29
| ~ spl6_39 ),
inference(resolution,[],[f3705,f1926]) ).
fof(f1926,plain,
( ! [X27] :
( doDivides0(xm,X27)
| xm != X27
| ~ aNaturalNumber0(X27) )
| ~ spl6_3
| ~ spl6_6
| ~ spl6_39 ),
inference(subsumption_resolution,[],[f1925,f247]) ).
fof(f1925,plain,
( ! [X27] :
( xm != X27
| doDivides0(xm,X27)
| ~ aNaturalNumber0(X27)
| ~ aNaturalNumber0(xm) )
| ~ spl6_6
| ~ spl6_39 ),
inference(subsumption_resolution,[],[f1840,f262]) ).
fof(f1840,plain,
( ! [X27] :
( xm != X27
| doDivides0(xm,X27)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X27)
| ~ aNaturalNumber0(xm) )
| ~ spl6_39 ),
inference(superposition,[],[f213,f462]) ).
fof(f5358,plain,
( spl6_231
| ~ spl6_217 ),
inference(avatar_split_clause,[],[f5025,f5007,f5355]) ).
fof(f5025,plain,
( sK3(xn) = sdtasdt0(sz10,sK3(xn))
| ~ spl6_217 ),
inference(resolution,[],[f5008,f169]) ).
fof(f5353,plain,
( spl6_230
| ~ spl6_217 ),
inference(avatar_split_clause,[],[f5024,f5007,f5350]) ).
fof(f5024,plain,
( sK3(xn) = sdtasdt0(sK3(xn),sz10)
| ~ spl6_217 ),
inference(resolution,[],[f5008,f168]) ).
fof(f5348,plain,
( spl6_229
| ~ spl6_217 ),
inference(avatar_split_clause,[],[f5023,f5007,f5345]) ).
fof(f5023,plain,
( sK3(xn) = sdtpldt0(sz00,sK3(xn))
| ~ spl6_217 ),
inference(resolution,[],[f5008,f167]) ).
fof(f5343,plain,
( spl6_228
| ~ spl6_217 ),
inference(avatar_split_clause,[],[f5022,f5007,f5340]) ).
fof(f5022,plain,
( sK3(xn) = sdtpldt0(sK3(xn),sz00)
| ~ spl6_217 ),
inference(resolution,[],[f5008,f166]) ).
fof(f5338,plain,
( spl6_227
| ~ spl6_213 ),
inference(avatar_split_clause,[],[f4943,f4925,f5335]) ).
fof(f4943,plain,
( sK2(xn) = sdtasdt0(sz10,sK2(xn))
| ~ spl6_213 ),
inference(resolution,[],[f4926,f169]) ).
fof(f5333,plain,
( spl6_226
| ~ spl6_213 ),
inference(avatar_split_clause,[],[f4942,f4925,f5330]) ).
fof(f4942,plain,
( sK2(xn) = sdtasdt0(sK2(xn),sz10)
| ~ spl6_213 ),
inference(resolution,[],[f4926,f168]) ).
fof(f5328,plain,
( spl6_225
| ~ spl6_213 ),
inference(avatar_split_clause,[],[f4941,f4925,f5325]) ).
fof(f4941,plain,
( sK2(xn) = sdtpldt0(sz00,sK2(xn))
| ~ spl6_213 ),
inference(resolution,[],[f4926,f167]) ).
fof(f5323,plain,
( spl6_224
| ~ spl6_213 ),
inference(avatar_split_clause,[],[f4940,f4925,f5320]) ).
fof(f4940,plain,
( sK2(xn) = sdtpldt0(sK2(xn),sz00)
| ~ spl6_213 ),
inference(resolution,[],[f4926,f166]) ).
fof(f5318,plain,
( spl6_223
| ~ spl6_4
| ~ spl6_5
| ~ spl6_211 ),
inference(avatar_split_clause,[],[f4910,f4885,f255,f250,f5315]) ).
fof(f4910,plain,
( sz00 = sdtasdt0(xp,sK4(xp,sz00))
| ~ spl6_4
| ~ spl6_5
| ~ spl6_211 ),
inference(subsumption_resolution,[],[f4909,f252]) ).
fof(f4909,plain,
( sz00 = sdtasdt0(xp,sK4(xp,sz00))
| ~ aNaturalNumber0(xp)
| ~ spl6_5
| ~ spl6_211 ),
inference(subsumption_resolution,[],[f4904,f257]) ).
fof(f4904,plain,
( sz00 = sdtasdt0(xp,sK4(xp,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ spl6_211 ),
inference(resolution,[],[f4887,f212]) ).
fof(f5313,plain,
( spl6_222
| ~ spl6_2
| ~ spl6_5
| ~ spl6_210 ),
inference(avatar_split_clause,[],[f4902,f4880,f255,f240,f5310]) ).
fof(f5310,plain,
( spl6_222
<=> sz00 = sdtasdt0(xn,sK4(xn,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_222])]) ).
fof(f4880,plain,
( spl6_210
<=> doDivides0(xn,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_210])]) ).
fof(f4902,plain,
( sz00 = sdtasdt0(xn,sK4(xn,sz00))
| ~ spl6_2
| ~ spl6_5
| ~ spl6_210 ),
inference(subsumption_resolution,[],[f4901,f242]) ).
fof(f4901,plain,
( sz00 = sdtasdt0(xn,sK4(xn,sz00))
| ~ aNaturalNumber0(xn)
| ~ spl6_5
| ~ spl6_210 ),
inference(subsumption_resolution,[],[f4898,f257]) ).
fof(f4898,plain,
( sz00 = sdtasdt0(xn,sK4(xn,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ spl6_210 ),
inference(resolution,[],[f4882,f212]) ).
fof(f4882,plain,
( doDivides0(xn,sz00)
| ~ spl6_210 ),
inference(avatar_component_clause,[],[f4880]) ).
fof(f5308,plain,
( spl6_221
| ~ spl6_5
| ~ spl6_6
| ~ spl6_209 ),
inference(avatar_split_clause,[],[f4896,f4875,f260,f255,f5305]) ).
fof(f5305,plain,
( spl6_221
<=> sz00 = sdtasdt0(sz10,sK4(sz10,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_221])]) ).
fof(f4875,plain,
( spl6_209
<=> doDivides0(sz10,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_209])]) ).
fof(f4896,plain,
( sz00 = sdtasdt0(sz10,sK4(sz10,sz00))
| ~ spl6_5
| ~ spl6_6
| ~ spl6_209 ),
inference(subsumption_resolution,[],[f4895,f262]) ).
fof(f4895,plain,
( sz00 = sdtasdt0(sz10,sK4(sz10,sz00))
| ~ aNaturalNumber0(sz10)
| ~ spl6_5
| ~ spl6_209 ),
inference(subsumption_resolution,[],[f4890,f257]) ).
fof(f4890,plain,
( sz00 = sdtasdt0(sz10,sK4(sz10,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz10)
| ~ spl6_209 ),
inference(resolution,[],[f4877,f212]) ).
fof(f4877,plain,
( doDivides0(sz10,sz00)
| ~ spl6_209 ),
inference(avatar_component_clause,[],[f4875]) ).
fof(f5285,plain,
( spl6_220
| ~ spl6_217 ),
inference(avatar_split_clause,[],[f5021,f5007,f5282]) ).
fof(f5282,plain,
( spl6_220
<=> sz00 = sdtasdt0(sz00,sK3(xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_220])]) ).
fof(f5021,plain,
( sz00 = sdtasdt0(sz00,sK3(xn))
| ~ spl6_217 ),
inference(resolution,[],[f5008,f165]) ).
fof(f5280,plain,
( spl6_219
| ~ spl6_217 ),
inference(avatar_split_clause,[],[f5020,f5007,f5277]) ).
fof(f5277,plain,
( spl6_219
<=> sz00 = sdtasdt0(sK3(xn),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_219])]) ).
fof(f5020,plain,
( sz00 = sdtasdt0(sK3(xn),sz00)
| ~ spl6_217 ),
inference(resolution,[],[f5008,f164]) ).
fof(f5019,plain,
( ~ spl6_2
| spl6_7
| spl6_133
| spl6_217 ),
inference(avatar_contradiction_clause,[],[f5018]) ).
fof(f5018,plain,
( $false
| ~ spl6_2
| spl6_7
| spl6_133
| spl6_217 ),
inference(subsumption_resolution,[],[f5017,f242]) ).
fof(f5017,plain,
( ~ aNaturalNumber0(xn)
| spl6_7
| spl6_133
| spl6_217 ),
inference(subsumption_resolution,[],[f5016,f267]) ).
fof(f5016,plain,
( sz00 = xn
| ~ aNaturalNumber0(xn)
| spl6_133
| spl6_217 ),
inference(subsumption_resolution,[],[f5015,f1712]) ).
fof(f1712,plain,
( sz10 != xn
| spl6_133 ),
inference(avatar_component_clause,[],[f1711]) ).
fof(f1711,plain,
( spl6_133
<=> sz10 = xn ),
introduced(avatar_definition,[new_symbols(naming,[spl6_133])]) ).
fof(f5015,plain,
( sz10 = xn
| sz00 = xn
| ~ aNaturalNumber0(xn)
| spl6_217 ),
inference(resolution,[],[f5009,f184]) ).
fof(f5009,plain,
( ~ aNaturalNumber0(sK3(xn))
| spl6_217 ),
inference(avatar_component_clause,[],[f5007]) ).
fof(f5014,plain,
( ~ spl6_217
| spl6_218
| ~ spl6_2
| ~ spl6_5
| spl6_7
| ~ spl6_28
| spl6_133 ),
inference(avatar_split_clause,[],[f4765,f1711,f394,f265,f255,f240,f5011,f5007]) ).
fof(f5011,plain,
( spl6_218
<=> doDivides0(sK3(xn),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_218])]) ).
fof(f4765,plain,
( doDivides0(sK3(xn),sz00)
| ~ aNaturalNumber0(sK3(xn))
| ~ spl6_2
| ~ spl6_5
| spl6_7
| ~ spl6_28
| spl6_133 ),
inference(subsumption_resolution,[],[f4764,f242]) ).
fof(f4764,plain,
( doDivides0(sK3(xn),sz00)
| ~ aNaturalNumber0(sK3(xn))
| ~ aNaturalNumber0(xn)
| ~ spl6_2
| ~ spl6_5
| spl6_7
| ~ spl6_28
| spl6_133 ),
inference(subsumption_resolution,[],[f4763,f267]) ).
fof(f4763,plain,
( doDivides0(sK3(xn),sz00)
| ~ aNaturalNumber0(sK3(xn))
| sz00 = xn
| ~ aNaturalNumber0(xn)
| ~ spl6_2
| ~ spl6_5
| ~ spl6_28
| spl6_133 ),
inference(subsumption_resolution,[],[f4744,f1712]) ).
fof(f4744,plain,
( doDivides0(sK3(xn),sz00)
| ~ aNaturalNumber0(sK3(xn))
| sz10 = xn
| sz00 = xn
| ~ aNaturalNumber0(xn)
| ~ spl6_2
| ~ spl6_5
| ~ spl6_28 ),
inference(resolution,[],[f3703,f185]) ).
fof(f3703,plain,
( ! [X4] :
( ~ doDivides0(X4,xn)
| doDivides0(X4,sz00)
| ~ aNaturalNumber0(X4) )
| ~ spl6_2
| ~ spl6_5
| ~ spl6_28 ),
inference(subsumption_resolution,[],[f3702,f242]) ).
fof(f3702,plain,
( ! [X4] :
( ~ doDivides0(X4,xn)
| doDivides0(X4,sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X4) )
| ~ spl6_5
| ~ spl6_28 ),
inference(subsumption_resolution,[],[f3660,f257]) ).
fof(f3660,plain,
( ! [X4] :
( ~ doDivides0(X4,xn)
| doDivides0(X4,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X4) )
| ~ spl6_28 ),
inference(duplicate_literal_removal,[],[f3629]) ).
fof(f3629,plain,
( ! [X4] :
( ~ doDivides0(X4,xn)
| doDivides0(X4,sz00)
| ~ doDivides0(X4,xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X4) )
| ~ spl6_28 ),
inference(superposition,[],[f228,f396]) ).
fof(f4987,plain,
( spl6_216
| ~ spl6_213 ),
inference(avatar_split_clause,[],[f4939,f4925,f4984]) ).
fof(f4984,plain,
( spl6_216
<=> sz00 = sdtasdt0(sz00,sK2(xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_216])]) ).
fof(f4939,plain,
( sz00 = sdtasdt0(sz00,sK2(xn))
| ~ spl6_213 ),
inference(resolution,[],[f4926,f165]) ).
fof(f4982,plain,
( spl6_215
| ~ spl6_213 ),
inference(avatar_split_clause,[],[f4938,f4925,f4979]) ).
fof(f4979,plain,
( spl6_215
<=> sz00 = sdtasdt0(sK2(xn),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_215])]) ).
fof(f4938,plain,
( sz00 = sdtasdt0(sK2(xn),sz00)
| ~ spl6_213 ),
inference(resolution,[],[f4926,f164]) ).
fof(f4937,plain,
( spl6_7
| spl6_114
| spl6_133
| spl6_213 ),
inference(avatar_contradiction_clause,[],[f4936]) ).
fof(f4936,plain,
( $false
| spl6_7
| spl6_114
| spl6_133
| spl6_213 ),
inference(subsumption_resolution,[],[f4935,f267]) ).
fof(f4935,plain,
( sz00 = xn
| spl6_114
| spl6_133
| spl6_213 ),
inference(subsumption_resolution,[],[f4934,f1712]) ).
fof(f4934,plain,
( sz10 = xn
| sz00 = xn
| spl6_114
| spl6_213 ),
inference(subsumption_resolution,[],[f4933,f1486]) ).
fof(f1486,plain,
( ~ sP0(xn)
| spl6_114 ),
inference(avatar_component_clause,[],[f1484]) ).
fof(f1484,plain,
( spl6_114
<=> sP0(xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_114])]) ).
fof(f4933,plain,
( sP0(xn)
| sz10 = xn
| sz00 = xn
| spl6_213 ),
inference(resolution,[],[f4927,f179]) ).
fof(f179,plain,
! [X0] :
( aNaturalNumber0(sK2(X0))
| sP0(X0)
| sz10 = X0
| sz00 = X0 ),
inference(cnf_transformation,[],[f130]) ).
fof(f4927,plain,
( ~ aNaturalNumber0(sK2(xn))
| spl6_213 ),
inference(avatar_component_clause,[],[f4925]) ).
fof(f4932,plain,
( ~ spl6_213
| spl6_214
| ~ spl6_2
| ~ spl6_5
| spl6_7
| ~ spl6_28
| spl6_114
| spl6_133 ),
inference(avatar_split_clause,[],[f4761,f1711,f1484,f394,f265,f255,f240,f4929,f4925]) ).
fof(f4929,plain,
( spl6_214
<=> doDivides0(sK2(xn),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_214])]) ).
fof(f4761,plain,
( doDivides0(sK2(xn),sz00)
| ~ aNaturalNumber0(sK2(xn))
| ~ spl6_2
| ~ spl6_5
| spl6_7
| ~ spl6_28
| spl6_114
| spl6_133 ),
inference(subsumption_resolution,[],[f4760,f267]) ).
fof(f4760,plain,
( doDivides0(sK2(xn),sz00)
| ~ aNaturalNumber0(sK2(xn))
| sz00 = xn
| ~ spl6_2
| ~ spl6_5
| ~ spl6_28
| spl6_114
| spl6_133 ),
inference(subsumption_resolution,[],[f4759,f1712]) ).
fof(f4759,plain,
( doDivides0(sK2(xn),sz00)
| ~ aNaturalNumber0(sK2(xn))
| sz10 = xn
| sz00 = xn
| ~ spl6_2
| ~ spl6_5
| ~ spl6_28
| spl6_114 ),
inference(subsumption_resolution,[],[f4742,f1486]) ).
fof(f4742,plain,
( doDivides0(sK2(xn),sz00)
| ~ aNaturalNumber0(sK2(xn))
| sP0(xn)
| sz10 = xn
| sz00 = xn
| ~ spl6_2
| ~ spl6_5
| ~ spl6_28 ),
inference(resolution,[],[f3703,f180]) ).
fof(f180,plain,
! [X0] :
( doDivides0(sK2(X0),X0)
| sP0(X0)
| sz10 = X0
| sz00 = X0 ),
inference(cnf_transformation,[],[f130]) ).
fof(f4915,plain,
( spl6_212
| ~ spl6_2
| ~ spl6_5
| ~ spl6_28
| ~ spl6_150
| ~ spl6_151 ),
inference(avatar_split_clause,[],[f4762,f2440,f2436,f394,f255,f240,f4912]) ).
fof(f4912,plain,
( spl6_212
<=> doDivides0(sK3(xp),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_212])]) ).
fof(f2440,plain,
( spl6_151
<=> doDivides0(sK3(xp),xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_151])]) ).
fof(f4762,plain,
( doDivides0(sK3(xp),sz00)
| ~ spl6_2
| ~ spl6_5
| ~ spl6_28
| ~ spl6_150
| ~ spl6_151 ),
inference(subsumption_resolution,[],[f4743,f2437]) ).
fof(f4743,plain,
( doDivides0(sK3(xp),sz00)
| ~ aNaturalNumber0(sK3(xp))
| ~ spl6_2
| ~ spl6_5
| ~ spl6_28
| ~ spl6_151 ),
inference(resolution,[],[f3703,f2442]) ).
fof(f2442,plain,
( doDivides0(sK3(xp),xn)
| ~ spl6_151 ),
inference(avatar_component_clause,[],[f2440]) ).
fof(f4888,plain,
( spl6_211
| ~ spl6_2
| ~ spl6_4
| ~ spl6_5
| ~ spl6_10
| ~ spl6_28 ),
inference(avatar_split_clause,[],[f4755,f394,f280,f255,f250,f240,f4885]) ).
fof(f4755,plain,
( doDivides0(xp,sz00)
| ~ spl6_2
| ~ spl6_4
| ~ spl6_5
| ~ spl6_10
| ~ spl6_28 ),
inference(subsumption_resolution,[],[f4738,f252]) ).
fof(f4738,plain,
( doDivides0(xp,sz00)
| ~ aNaturalNumber0(xp)
| ~ spl6_2
| ~ spl6_5
| ~ spl6_10
| ~ spl6_28 ),
inference(resolution,[],[f3703,f282]) ).
fof(f4883,plain,
( spl6_210
| ~ spl6_2
| ~ spl6_5
| ~ spl6_6
| ~ spl6_28
| ~ spl6_38 ),
inference(avatar_split_clause,[],[f4754,f455,f394,f260,f255,f240,f4880]) ).
fof(f4754,plain,
( doDivides0(xn,sz00)
| ~ spl6_2
| ~ spl6_5
| ~ spl6_6
| ~ spl6_28
| ~ spl6_38 ),
inference(subsumption_resolution,[],[f4747,f242]) ).
fof(f4747,plain,
( doDivides0(xn,sz00)
| ~ aNaturalNumber0(xn)
| ~ spl6_2
| ~ spl6_5
| ~ spl6_6
| ~ spl6_28
| ~ spl6_38 ),
inference(trivial_inequality_removal,[],[f4746]) ).
fof(f4746,plain,
( doDivides0(xn,sz00)
| ~ aNaturalNumber0(xn)
| xn != xn
| ~ spl6_2
| ~ spl6_5
| ~ spl6_6
| ~ spl6_28
| ~ spl6_38 ),
inference(duplicate_literal_removal,[],[f4734]) ).
fof(f4734,plain,
( doDivides0(xn,sz00)
| ~ aNaturalNumber0(xn)
| xn != xn
| ~ aNaturalNumber0(xn)
| ~ spl6_2
| ~ spl6_5
| ~ spl6_6
| ~ spl6_28
| ~ spl6_38 ),
inference(resolution,[],[f3703,f1924]) ).
fof(f1924,plain,
( ! [X26] :
( doDivides0(xn,X26)
| xn != X26
| ~ aNaturalNumber0(X26) )
| ~ spl6_2
| ~ spl6_6
| ~ spl6_38 ),
inference(subsumption_resolution,[],[f1923,f242]) ).
fof(f1923,plain,
( ! [X26] :
( xn != X26
| doDivides0(xn,X26)
| ~ aNaturalNumber0(X26)
| ~ aNaturalNumber0(xn) )
| ~ spl6_6
| ~ spl6_38 ),
inference(subsumption_resolution,[],[f1839,f262]) ).
fof(f1839,plain,
( ! [X26] :
( xn != X26
| doDivides0(xn,X26)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X26)
| ~ aNaturalNumber0(xn) )
| ~ spl6_38 ),
inference(superposition,[],[f213,f457]) ).
fof(f4878,plain,
( spl6_209
| ~ spl6_2
| ~ spl6_5
| ~ spl6_6
| ~ spl6_28
| ~ spl6_42 ),
inference(avatar_split_clause,[],[f4753,f496,f394,f260,f255,f240,f4875]) ).
fof(f496,plain,
( spl6_42
<=> xn = sdtasdt0(sz10,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_42])]) ).
fof(f4753,plain,
( doDivides0(sz10,sz00)
| ~ spl6_2
| ~ spl6_5
| ~ spl6_6
| ~ spl6_28
| ~ spl6_42 ),
inference(subsumption_resolution,[],[f4752,f242]) ).
fof(f4752,plain,
( doDivides0(sz10,sz00)
| ~ aNaturalNumber0(xn)
| ~ spl6_2
| ~ spl6_5
| ~ spl6_6
| ~ spl6_28
| ~ spl6_42 ),
inference(subsumption_resolution,[],[f4748,f262]) ).
fof(f4748,plain,
( doDivides0(sz10,sz00)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ spl6_2
| ~ spl6_5
| ~ spl6_6
| ~ spl6_28
| ~ spl6_42 ),
inference(trivial_inequality_removal,[],[f4733]) ).
fof(f4733,plain,
( doDivides0(sz10,sz00)
| ~ aNaturalNumber0(sz10)
| xn != xn
| ~ aNaturalNumber0(xn)
| ~ spl6_2
| ~ spl6_5
| ~ spl6_6
| ~ spl6_28
| ~ spl6_42 ),
inference(resolution,[],[f3703,f1985]) ).
fof(f1985,plain,
( ! [X55] :
( doDivides0(sz10,X55)
| xn != X55
| ~ aNaturalNumber0(X55) )
| ~ spl6_2
| ~ spl6_6
| ~ spl6_42 ),
inference(subsumption_resolution,[],[f1984,f262]) ).
fof(f1984,plain,
( ! [X55] :
( xn != X55
| doDivides0(sz10,X55)
| ~ aNaturalNumber0(X55)
| ~ aNaturalNumber0(sz10) )
| ~ spl6_2
| ~ spl6_42 ),
inference(subsumption_resolution,[],[f1868,f242]) ).
fof(f1868,plain,
( ! [X55] :
( xn != X55
| doDivides0(sz10,X55)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X55)
| ~ aNaturalNumber0(sz10) )
| ~ spl6_42 ),
inference(superposition,[],[f213,f498]) ).
fof(f498,plain,
( xn = sdtasdt0(sz10,xn)
| ~ spl6_42 ),
inference(avatar_component_clause,[],[f496]) ).
fof(f4707,plain,
( spl6_208
| ~ spl6_6
| ~ spl6_49
| ~ spl6_182 ),
inference(avatar_split_clause,[],[f3414,f3387,f561,f260,f4704]) ).
fof(f4704,plain,
( spl6_208
<=> xq = sdtpldt0(sz10,sK5(sz10,xq)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_208])]) ).
fof(f3414,plain,
( xq = sdtpldt0(sz10,sK5(sz10,xq))
| ~ spl6_6
| ~ spl6_49
| ~ spl6_182 ),
inference(subsumption_resolution,[],[f3413,f262]) ).
fof(f3413,plain,
( xq = sdtpldt0(sz10,sK5(sz10,xq))
| ~ aNaturalNumber0(sz10)
| ~ spl6_49
| ~ spl6_182 ),
inference(subsumption_resolution,[],[f3409,f562]) ).
fof(f3409,plain,
( xq = sdtpldt0(sz10,sK5(sz10,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz10)
| ~ spl6_182 ),
inference(resolution,[],[f3389,f215]) ).
fof(f4627,plain,
( spl6_207
| ~ spl6_4
| spl6_9
| ~ spl6_49
| ~ spl6_196 ),
inference(avatar_split_clause,[],[f4620,f3766,f561,f275,f250,f4624]) ).
fof(f4620,plain,
( sdtlseqdt0(xq,sdtasdt0(xp,xq))
| ~ spl6_4
| spl6_9
| ~ spl6_49
| ~ spl6_196 ),
inference(subsumption_resolution,[],[f4619,f252]) ).
fof(f4619,plain,
( sdtlseqdt0(xq,sdtasdt0(xp,xq))
| ~ aNaturalNumber0(xp)
| spl6_9
| ~ spl6_49
| ~ spl6_196 ),
inference(subsumption_resolution,[],[f4618,f562]) ).
fof(f4618,plain,
( sdtlseqdt0(xq,sdtasdt0(xp,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| spl6_9
| ~ spl6_196 ),
inference(subsumption_resolution,[],[f4603,f277]) ).
fof(f4603,plain,
( sdtlseqdt0(xq,sdtasdt0(xp,xq))
| sz00 = xp
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ spl6_196 ),
inference(superposition,[],[f193,f3768]) ).
fof(f4591,plain,
( spl6_206
| ~ spl6_3
| spl6_8
| ~ spl6_49
| ~ spl6_195 ),
inference(avatar_split_clause,[],[f4584,f3761,f561,f270,f245,f4588]) ).
fof(f4588,plain,
( spl6_206
<=> sdtlseqdt0(xq,sdtasdt0(xm,xq)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_206])]) ).
fof(f4584,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,xq))
| ~ spl6_3
| spl6_8
| ~ spl6_49
| ~ spl6_195 ),
inference(subsumption_resolution,[],[f4583,f247]) ).
fof(f4583,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,xq))
| ~ aNaturalNumber0(xm)
| spl6_8
| ~ spl6_49
| ~ spl6_195 ),
inference(subsumption_resolution,[],[f4582,f562]) ).
fof(f4582,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm)
| spl6_8
| ~ spl6_195 ),
inference(subsumption_resolution,[],[f4567,f272]) ).
fof(f4567,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,xq))
| sz00 = xm
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm)
| ~ spl6_195 ),
inference(superposition,[],[f193,f3763]) ).
fof(f4555,plain,
( spl6_205
| ~ spl6_2
| spl6_7
| ~ spl6_49
| ~ spl6_194 ),
inference(avatar_split_clause,[],[f4548,f3756,f561,f265,f240,f4552]) ).
fof(f4552,plain,
( spl6_205
<=> sdtlseqdt0(xq,sdtasdt0(xn,xq)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_205])]) ).
fof(f4548,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,xq))
| ~ spl6_2
| spl6_7
| ~ spl6_49
| ~ spl6_194 ),
inference(subsumption_resolution,[],[f4547,f242]) ).
fof(f4547,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,xq))
| ~ aNaturalNumber0(xn)
| spl6_7
| ~ spl6_49
| ~ spl6_194 ),
inference(subsumption_resolution,[],[f4546,f562]) ).
fof(f4546,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn)
| spl6_7
| ~ spl6_194 ),
inference(subsumption_resolution,[],[f4531,f267]) ).
fof(f4531,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,xq))
| sz00 = xn
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn)
| ~ spl6_194 ),
inference(superposition,[],[f193,f3758]) ).
fof(f4127,plain,
( spl6_204
| ~ spl6_4
| ~ spl6_49 ),
inference(avatar_split_clause,[],[f3195,f561,f250,f4124]) ).
fof(f4124,plain,
( spl6_204
<=> sz00 = sdtasdt0(sdtpldt0(xp,xq),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_204])]) ).
fof(f3195,plain,
( sz00 = sdtasdt0(sdtpldt0(xp,xq),sz00)
| ~ spl6_4
| ~ spl6_49 ),
inference(resolution,[],[f562,f1192]) ).
fof(f4122,plain,
( spl6_203
| ~ spl6_3
| ~ spl6_49 ),
inference(avatar_split_clause,[],[f3194,f561,f245,f4119]) ).
fof(f4119,plain,
( spl6_203
<=> sz00 = sdtasdt0(sdtpldt0(xm,xq),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_203])]) ).
fof(f3194,plain,
( sz00 = sdtasdt0(sdtpldt0(xm,xq),sz00)
| ~ spl6_3
| ~ spl6_49 ),
inference(resolution,[],[f562,f1191]) ).
fof(f4117,plain,
( spl6_202
| ~ spl6_2
| ~ spl6_49 ),
inference(avatar_split_clause,[],[f3193,f561,f240,f4114]) ).
fof(f4114,plain,
( spl6_202
<=> sz00 = sdtasdt0(sdtpldt0(xn,xq),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_202])]) ).
fof(f3193,plain,
( sz00 = sdtasdt0(sdtpldt0(xn,xq),sz00)
| ~ spl6_2
| ~ spl6_49 ),
inference(resolution,[],[f562,f1190]) ).
fof(f4112,plain,
( spl6_201
| ~ spl6_6
| ~ spl6_49 ),
inference(avatar_split_clause,[],[f3192,f561,f260,f4109]) ).
fof(f4109,plain,
( spl6_201
<=> sz00 = sdtasdt0(sdtpldt0(sz10,xq),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_201])]) ).
fof(f3192,plain,
( sz00 = sdtasdt0(sdtpldt0(sz10,xq),sz00)
| ~ spl6_6
| ~ spl6_49 ),
inference(resolution,[],[f562,f1185]) ).
fof(f4106,plain,
( spl6_200
| ~ spl6_4
| ~ spl6_49 ),
inference(avatar_split_clause,[],[f3190,f561,f250,f4103]) ).
fof(f4103,plain,
( spl6_200
<=> sz00 = sdtasdt0(sz00,sdtpldt0(xp,xq)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_200])]) ).
fof(f3190,plain,
( sz00 = sdtasdt0(sz00,sdtpldt0(xp,xq))
| ~ spl6_4
| ~ spl6_49 ),
inference(resolution,[],[f562,f989]) ).
fof(f4101,plain,
( spl6_199
| ~ spl6_3
| ~ spl6_49 ),
inference(avatar_split_clause,[],[f3189,f561,f245,f4098]) ).
fof(f4098,plain,
( spl6_199
<=> sz00 = sdtasdt0(sz00,sdtpldt0(xm,xq)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_199])]) ).
fof(f3189,plain,
( sz00 = sdtasdt0(sz00,sdtpldt0(xm,xq))
| ~ spl6_3
| ~ spl6_49 ),
inference(resolution,[],[f562,f988]) ).
fof(f4096,plain,
( spl6_198
| ~ spl6_2
| ~ spl6_49 ),
inference(avatar_split_clause,[],[f3188,f561,f240,f4093]) ).
fof(f4093,plain,
( spl6_198
<=> sz00 = sdtasdt0(sz00,sdtpldt0(xn,xq)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_198])]) ).
fof(f3188,plain,
( sz00 = sdtasdt0(sz00,sdtpldt0(xn,xq))
| ~ spl6_2
| ~ spl6_49 ),
inference(resolution,[],[f562,f987]) ).
fof(f4091,plain,
( spl6_197
| ~ spl6_6
| ~ spl6_49 ),
inference(avatar_split_clause,[],[f3187,f561,f260,f4088]) ).
fof(f4088,plain,
( spl6_197
<=> sz00 = sdtasdt0(sz00,sdtpldt0(sz10,xq)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_197])]) ).
fof(f3187,plain,
( sz00 = sdtasdt0(sz00,sdtpldt0(sz10,xq))
| ~ spl6_6
| ~ spl6_49 ),
inference(resolution,[],[f562,f982]) ).
fof(f3769,plain,
( spl6_196
| ~ spl6_4
| ~ spl6_49 ),
inference(avatar_split_clause,[],[f3185,f561,f250,f3766]) ).
fof(f3185,plain,
( sdtasdt0(xq,xp) = sdtasdt0(xp,xq)
| ~ spl6_4
| ~ spl6_49 ),
inference(resolution,[],[f562,f796]) ).
fof(f796,plain,
( ! [X12] :
( ~ aNaturalNumber0(X12)
| sdtasdt0(X12,xp) = sdtasdt0(xp,X12) )
| ~ spl6_4 ),
inference(resolution,[],[f190,f252]) ).
fof(f190,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f74]) ).
fof(f74,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.7LS3zoPI9a/Vampire---4.8_3333',mMulComm) ).
fof(f3764,plain,
( spl6_195
| ~ spl6_3
| ~ spl6_49 ),
inference(avatar_split_clause,[],[f3184,f561,f245,f3761]) ).
fof(f3184,plain,
( sdtasdt0(xq,xm) = sdtasdt0(xm,xq)
| ~ spl6_3
| ~ spl6_49 ),
inference(resolution,[],[f562,f795]) ).
fof(f795,plain,
( ! [X11] :
( ~ aNaturalNumber0(X11)
| sdtasdt0(X11,xm) = sdtasdt0(xm,X11) )
| ~ spl6_3 ),
inference(resolution,[],[f190,f247]) ).
fof(f3759,plain,
( spl6_194
| ~ spl6_2
| ~ spl6_49 ),
inference(avatar_split_clause,[],[f3183,f561,f240,f3756]) ).
fof(f3183,plain,
( sdtasdt0(xq,xn) = sdtasdt0(xn,xq)
| ~ spl6_2
| ~ spl6_49 ),
inference(resolution,[],[f562,f794]) ).
fof(f794,plain,
( ! [X10] :
( ~ aNaturalNumber0(X10)
| sdtasdt0(X10,xn) = sdtasdt0(xn,X10) )
| ~ spl6_2 ),
inference(resolution,[],[f190,f242]) ).
fof(f3752,plain,
( spl6_193
| ~ spl6_4
| ~ spl6_49 ),
inference(avatar_split_clause,[],[f3180,f561,f250,f3749]) ).
fof(f3180,plain,
( sdtpldt0(xq,xp) = sdtpldt0(xp,xq)
| ~ spl6_4
| ~ spl6_49 ),
inference(resolution,[],[f562,f732]) ).
fof(f732,plain,
( ! [X12] :
( ~ aNaturalNumber0(X12)
| sdtpldt0(X12,xp) = sdtpldt0(xp,X12) )
| ~ spl6_4 ),
inference(resolution,[],[f189,f252]) ).
fof(f189,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f72]) ).
fof(f72,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.7LS3zoPI9a/Vampire---4.8_3333',mAddComm) ).
fof(f3747,plain,
( spl6_192
| ~ spl6_3
| ~ spl6_49 ),
inference(avatar_split_clause,[],[f3179,f561,f245,f3744]) ).
fof(f3179,plain,
( sdtpldt0(xq,xm) = sdtpldt0(xm,xq)
| ~ spl6_3
| ~ spl6_49 ),
inference(resolution,[],[f562,f731]) ).
fof(f731,plain,
( ! [X11] :
( ~ aNaturalNumber0(X11)
| sdtpldt0(X11,xm) = sdtpldt0(xm,X11) )
| ~ spl6_3 ),
inference(resolution,[],[f189,f247]) ).
fof(f3742,plain,
( spl6_191
| ~ spl6_2
| ~ spl6_49 ),
inference(avatar_split_clause,[],[f3178,f561,f240,f3739]) ).
fof(f3178,plain,
( sdtpldt0(xq,xn) = sdtpldt0(xn,xq)
| ~ spl6_2
| ~ spl6_49 ),
inference(resolution,[],[f562,f730]) ).
fof(f730,plain,
( ! [X10] :
( ~ aNaturalNumber0(X10)
| sdtpldt0(X10,xn) = sdtpldt0(xn,X10) )
| ~ spl6_2 ),
inference(resolution,[],[f189,f242]) ).
fof(f3737,plain,
( spl6_190
| ~ spl6_6
| ~ spl6_49 ),
inference(avatar_split_clause,[],[f3177,f561,f260,f3734]) ).
fof(f3177,plain,
( sdtpldt0(xq,sz10) = sdtpldt0(sz10,xq)
| ~ spl6_6
| ~ spl6_49 ),
inference(resolution,[],[f562,f725]) ).
fof(f725,plain,
( ! [X1] :
( ~ aNaturalNumber0(X1)
| sdtpldt0(X1,sz10) = sdtpldt0(sz10,X1) )
| ~ spl6_6 ),
inference(resolution,[],[f189,f262]) ).
fof(f3597,plain,
( spl6_189
| ~ spl6_47 ),
inference(avatar_split_clause,[],[f3197,f547,f3594]) ).
fof(f3594,plain,
( spl6_189
<=> sz00 = sdtasdt0(sz00,sdtasdt0(xq,xq)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_189])]) ).
fof(f3197,plain,
( sz00 = sdtasdt0(sz00,sdtasdt0(xq,xq))
| ~ spl6_47 ),
inference(resolution,[],[f548,f165]) ).
fof(f3592,plain,
( spl6_188
| ~ spl6_47 ),
inference(avatar_split_clause,[],[f3196,f547,f3589]) ).
fof(f3196,plain,
( sz00 = sdtasdt0(sdtasdt0(xq,xq),sz00)
| ~ spl6_47 ),
inference(resolution,[],[f548,f164]) ).
fof(f3533,plain,
( spl6_187
| ~ spl6_3
| ~ spl6_5
| ~ spl6_185 ),
inference(avatar_split_clause,[],[f3468,f3458,f255,f245,f3530]) ).
fof(f3530,plain,
( spl6_187
<=> xm = sdtpldt0(sz00,sK5(sz00,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_187])]) ).
fof(f3458,plain,
( spl6_185
<=> sdtlseqdt0(sz00,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_185])]) ).
fof(f3468,plain,
( xm = sdtpldt0(sz00,sK5(sz00,xm))
| ~ spl6_3
| ~ spl6_5
| ~ spl6_185 ),
inference(subsumption_resolution,[],[f3467,f257]) ).
fof(f3467,plain,
( xm = sdtpldt0(sz00,sK5(sz00,xm))
| ~ aNaturalNumber0(sz00)
| ~ spl6_3
| ~ spl6_185 ),
inference(subsumption_resolution,[],[f3463,f247]) ).
fof(f3463,plain,
( xm = sdtpldt0(sz00,sK5(sz00,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00)
| ~ spl6_185 ),
inference(resolution,[],[f3460,f215]) ).
fof(f3460,plain,
( sdtlseqdt0(sz00,xm)
| ~ spl6_185 ),
inference(avatar_component_clause,[],[f3458]) ).
fof(f3476,plain,
( ~ spl6_186
| ~ spl6_3
| ~ spl6_5
| spl6_8
| ~ spl6_185 ),
inference(avatar_split_clause,[],[f3471,f3458,f270,f255,f245,f3473]) ).
fof(f3471,plain,
( ~ sdtlseqdt0(xm,sz00)
| ~ spl6_3
| ~ spl6_5
| spl6_8
| ~ spl6_185 ),
inference(subsumption_resolution,[],[f3470,f247]) ).
fof(f3470,plain,
( ~ sdtlseqdt0(xm,sz00)
| ~ aNaturalNumber0(xm)
| ~ spl6_5
| spl6_8
| ~ spl6_185 ),
inference(subsumption_resolution,[],[f3469,f257]) ).
fof(f3469,plain,
( ~ sdtlseqdt0(xm,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| spl6_8
| ~ spl6_185 ),
inference(subsumption_resolution,[],[f3464,f272]) ).
fof(f3464,plain,
( sz00 = xm
| ~ sdtlseqdt0(xm,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ spl6_185 ),
inference(resolution,[],[f3460,f210]) ).
fof(f3461,plain,
( spl6_185
| ~ spl6_3
| ~ spl6_4
| ~ spl6_5
| ~ spl6_35
| ~ spl6_171 ),
inference(avatar_split_clause,[],[f3456,f3107,f435,f255,f250,f245,f3458]) ).
fof(f3456,plain,
( sdtlseqdt0(sz00,xm)
| ~ spl6_3
| ~ spl6_4
| ~ spl6_5
| ~ spl6_35
| ~ spl6_171 ),
inference(subsumption_resolution,[],[f3455,f252]) ).
fof(f3455,plain,
( sdtlseqdt0(sz00,xm)
| ~ aNaturalNumber0(xp)
| ~ spl6_3
| ~ spl6_4
| ~ spl6_5
| ~ spl6_35
| ~ spl6_171 ),
inference(subsumption_resolution,[],[f3445,f257]) ).
fof(f3445,plain,
( sdtlseqdt0(sz00,xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ spl6_3
| ~ spl6_4
| ~ spl6_5
| ~ spl6_35
| ~ spl6_171 ),
inference(trivial_inequality_removal,[],[f3438]) ).
fof(f3438,plain,
( sdtlseqdt0(sz00,xm)
| ~ aNaturalNumber0(sz00)
| xp != xp
| ~ aNaturalNumber0(xp)
| ~ spl6_3
| ~ spl6_4
| ~ spl6_5
| ~ spl6_35
| ~ spl6_171 ),
inference(resolution,[],[f3115,f2208]) ).
fof(f2208,plain,
( ! [X18] :
( sdtlseqdt0(sz00,X18)
| xp != X18
| ~ aNaturalNumber0(X18) )
| ~ spl6_4
| ~ spl6_5
| ~ spl6_35 ),
inference(subsumption_resolution,[],[f2207,f257]) ).
fof(f2207,plain,
( ! [X18] :
( xp != X18
| sdtlseqdt0(sz00,X18)
| ~ aNaturalNumber0(X18)
| ~ aNaturalNumber0(sz00) )
| ~ spl6_4
| ~ spl6_35 ),
inference(subsumption_resolution,[],[f2176,f252]) ).
fof(f2176,plain,
( ! [X18] :
( xp != X18
| sdtlseqdt0(sz00,X18)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X18)
| ~ aNaturalNumber0(sz00) )
| ~ spl6_35 ),
inference(superposition,[],[f216,f437]) ).
fof(f3425,plain,
( ~ spl6_183
| spl6_184
| ~ spl6_6
| ~ spl6_49
| ~ spl6_182 ),
inference(avatar_split_clause,[],[f3416,f3387,f561,f260,f3422,f3418]) ).
fof(f3418,plain,
( spl6_183
<=> sdtlseqdt0(xq,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_183])]) ).
fof(f3416,plain,
( sz10 = xq
| ~ sdtlseqdt0(xq,sz10)
| ~ spl6_6
| ~ spl6_49
| ~ spl6_182 ),
inference(subsumption_resolution,[],[f3415,f562]) ).
fof(f3415,plain,
( sz10 = xq
| ~ sdtlseqdt0(xq,sz10)
| ~ aNaturalNumber0(xq)
| ~ spl6_6
| ~ spl6_182 ),
inference(subsumption_resolution,[],[f3410,f262]) ).
fof(f3410,plain,
( sz10 = xq
| ~ sdtlseqdt0(xq,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xq)
| ~ spl6_182 ),
inference(resolution,[],[f3389,f210]) ).
fof(f3390,plain,
( spl6_181
| spl6_182
| ~ spl6_6
| ~ spl6_49
| ~ spl6_180 ),
inference(avatar_split_clause,[],[f3349,f3285,f561,f260,f3387,f3383]) ).
fof(f3349,plain,
( sdtlseqdt0(sz10,xq)
| sz00 = xq
| ~ spl6_6
| ~ spl6_49
| ~ spl6_180 ),
inference(subsumption_resolution,[],[f3348,f562]) ).
fof(f3348,plain,
( sdtlseqdt0(sz10,xq)
| sz00 = xq
| ~ aNaturalNumber0(xq)
| ~ spl6_6
| ~ spl6_180 ),
inference(subsumption_resolution,[],[f3343,f262]) ).
fof(f3343,plain,
( sdtlseqdt0(sz10,xq)
| sz00 = xq
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xq)
| ~ spl6_180 ),
inference(superposition,[],[f193,f3287]) ).
fof(f3288,plain,
( spl6_180
| ~ spl6_49 ),
inference(avatar_split_clause,[],[f3171,f561,f3285]) ).
fof(f3171,plain,
( xq = sdtasdt0(sz10,xq)
| ~ spl6_49 ),
inference(resolution,[],[f562,f169]) ).
fof(f3266,plain,
( spl6_179
| ~ spl6_49 ),
inference(avatar_split_clause,[],[f3170,f561,f3263]) ).
fof(f3170,plain,
( xq = sdtasdt0(xq,sz10)
| ~ spl6_49 ),
inference(resolution,[],[f562,f168]) ).
fof(f3261,plain,
( spl6_178
| ~ spl6_49 ),
inference(avatar_split_clause,[],[f3169,f561,f3258]) ).
fof(f3169,plain,
( xq = sdtpldt0(sz00,xq)
| ~ spl6_49 ),
inference(resolution,[],[f562,f167]) ).
fof(f3256,plain,
( spl6_177
| ~ spl6_49 ),
inference(avatar_split_clause,[],[f3168,f561,f3253]) ).
fof(f3168,plain,
( xq = sdtpldt0(xq,sz00)
| ~ spl6_49 ),
inference(resolution,[],[f562,f166]) ).
fof(f3251,plain,
( spl6_176
| ~ spl6_49 ),
inference(avatar_split_clause,[],[f3167,f561,f3248]) ).
fof(f3167,plain,
( sz00 = sdtasdt0(sz00,xq)
| ~ spl6_49 ),
inference(resolution,[],[f562,f165]) ).
fof(f3246,plain,
( spl6_175
| ~ spl6_49 ),
inference(avatar_split_clause,[],[f3166,f561,f3243]) ).
fof(f3243,plain,
( spl6_175
<=> sz00 = sdtasdt0(xq,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_175])]) ).
fof(f3166,plain,
( sz00 = sdtasdt0(xq,sz00)
| ~ spl6_49 ),
inference(resolution,[],[f562,f164]) ).
fof(f3232,plain,
( spl6_174
| ~ spl6_4
| ~ spl6_45
| ~ spl6_52
| ~ spl6_61
| ~ spl6_138
| spl6_146 ),
inference(avatar_split_clause,[],[f3165,f2329,f1773,f646,f589,f535,f250,f3229]) ).
fof(f3229,plain,
( spl6_174
<=> sdtlseqdt0(xp,sdtasdt0(xn,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_174])]) ).
fof(f3165,plain,
( sdtlseqdt0(xp,sdtasdt0(xn,xn))
| ~ spl6_4
| ~ spl6_45
| ~ spl6_52
| ~ spl6_61
| ~ spl6_138
| spl6_146 ),
inference(global_subsumption,[],[f3164,f159,f173,f172,f196,f204,f203,f202,f201,f205,f208,f207,f217,f218,f220,f219,f221,f225,f224,f232,f223,f222,f233,f227,f228,f146,f150,f151,f152,f252,f160,f161,f153,f154,f155,f157,f162,f183,f145,f147,f156,f163,f176,f308,f177,f314,f174,f175,f320,f321,f164,f342,f165,f362,f166,f392,f167,f423,f168,f453,f169,f187,f479,f480,f481,f482,f478,f188,f510,f511,f512,f513,f514,f515,f148,f149,f158,f591,f606,f607,f191,f602,f603,f604,f605,f192,f171,f179,f712,f713,f714,f715,f716,f717,f184,f718,f719,f720,f721,f722,f723,f186,f189,f726,f727,f729,f733,f734,f190,f790,f791,f793,f797,f798,f732,f802,f803,f805,f809,f810,f211,f861,f862,f863,f864,f865,f866,f867,f868,f871,f796,f877,f878,f880,f884,f885,f886,f214,f963,f964,f965,f966,f967,f968,f969,f970,f975,f980,f483,f983,f984,f986,f990,f991,f992,f993,f180,f181,f989,f1069,f1070,f1076,f1077,f1078,f1079,f1075,f182,f1072,f185,f484,f1186,f1187,f1189,f1193,f1194,f1195,f1196,f193,f197,f198,f178,f1461,f200,f1192,f1505,f1506,f1512,f1513,f1514,f1515,f1511,f209,f1591,f1592,f1508,f210,f1659,f194,f1734,f1775,f1780,f212,f1790,f1791,f213,f1972,f2005,f215,f2086,f2085,f2084,f2083,f2087,f216,f2214,f199,f2331,f226,f2378,f2379,f229,f2521,f2520,f2519,f2523,f230,f231,f195,f3047,f206,f3149]) ).
fof(f3149,plain,
! [X0,X1] :
( aNaturalNumber0(sdtsldt0(X0,X1))
| ~ doDivides0(X1,X0)
| sz00 = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(equality_resolution,[],[f206]) ).
fof(f3047,plain,
! [X0,X1] :
( sdtpldt0(X0,sdtmndt0(X1,X0)) = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f195]) ).
fof(f195,plain,
! [X2,X0,X1] :
( sdtmndt0(X1,X0) != X2
| sdtpldt0(X0,X2) = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f231,plain,
! [X2,X0,X1] :
( sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
| X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,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,[],[f120]) ).
fof(f120,plain,
! [X0,X1,X2] :
( X1 = X2
| ( sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
& sdtpldt0(X0,X1) != sdtpldt0(X0,X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(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.7LS3zoPI9a/Vampire---4.8_3333',mAddCanc) ).
fof(f230,plain,
! [X2,X0,X1] :
( sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
| X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f2523,plain,
! [X11,X12,X13] :
( sdtlseqdt0(X11,sdtasdt0(X12,X13))
| ~ sdtlseqdt0(X11,X12)
| ~ aNaturalNumber0(X12)
| ~ aNaturalNumber0(X11)
| sz00 = X13
| ~ aNaturalNumber0(X13) ),
inference(subsumption_resolution,[],[f2518,f188]) ).
fof(f2518,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,[],[f2494]) ).
fof(f2494,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,[],[f229,f193]) ).
fof(f2519,plain,
! [X10,X8,X9] :
( sdtlseqdt0(X8,X9)
| ~ sdtlseqdt0(X8,X10)
| ~ aNaturalNumber0(X9)
| ~ aNaturalNumber0(X10)
| ~ aNaturalNumber0(X8)
| X9 != X10 ),
inference(duplicate_literal_removal,[],[f2493]) ).
fof(f2493,plain,
! [X10,X8,X9] :
( sdtlseqdt0(X8,X9)
| ~ sdtlseqdt0(X8,X10)
| ~ aNaturalNumber0(X9)
| ~ aNaturalNumber0(X10)
| ~ aNaturalNumber0(X8)
| X9 != X10
| ~ aNaturalNumber0(X9)
| ~ aNaturalNumber0(X10) ),
inference(resolution,[],[f229,f191]) ).
fof(f2520,plain,
! [X6,X7,X5] :
( sdtlseqdt0(X5,X6)
| ~ sdtlseqdt0(X5,X7)
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X5)
| sdtlseqdt0(X6,X7) ),
inference(duplicate_literal_removal,[],[f2492]) ).
fof(f2492,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,[],[f229,f192]) ).
fof(f2521,plain,
! [X2,X3,X4] :
( sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X2,X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X3,X4) ),
inference(duplicate_literal_removal,[],[f2491]) ).
fof(f2491,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,[],[f229,f192]) ).
fof(f2379,plain,
! [X28,X29] :
( doDivides0(X28,X29)
| ~ doDivides0(X28,sK3(X29))
| ~ aNaturalNumber0(X29)
| ~ aNaturalNumber0(X28)
| sz10 = X29
| sz00 = X29 ),
inference(subsumption_resolution,[],[f2349,f184]) ).
fof(f2349,plain,
! [X28,X29] :
( doDivides0(X28,X29)
| ~ doDivides0(X28,sK3(X29))
| ~ aNaturalNumber0(X29)
| ~ aNaturalNumber0(sK3(X29))
| ~ aNaturalNumber0(X28)
| sz10 = X29
| sz00 = X29 ),
inference(duplicate_literal_removal,[],[f2348]) ).
fof(f2348,plain,
! [X28,X29] :
( doDivides0(X28,X29)
| ~ doDivides0(X28,sK3(X29))
| ~ aNaturalNumber0(X29)
| ~ aNaturalNumber0(sK3(X29))
| ~ aNaturalNumber0(X28)
| sz10 = X29
| sz00 = X29
| ~ aNaturalNumber0(X29) ),
inference(resolution,[],[f226,f185]) ).
fof(f2378,plain,
! [X26,X27] :
( doDivides0(X26,X27)
| ~ doDivides0(X26,sK2(X27))
| ~ aNaturalNumber0(X27)
| ~ aNaturalNumber0(X26)
| sP0(X27)
| sz10 = X27
| sz00 = X27 ),
inference(subsumption_resolution,[],[f2347,f179]) ).
fof(f2347,plain,
! [X26,X27] :
( doDivides0(X26,X27)
| ~ doDivides0(X26,sK2(X27))
| ~ aNaturalNumber0(X27)
| ~ aNaturalNumber0(sK2(X27))
| ~ aNaturalNumber0(X26)
| sP0(X27)
| sz10 = X27
| sz00 = X27 ),
inference(resolution,[],[f226,f180]) ).
fof(f199,plain,
! [X0,X1] :
( sz00 != sdtasdt0(X0,X1)
| sz00 = X0
| sz00 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0,X1] :
( sz00 = X1
| sz00 = X0
| sz00 != sdtasdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f84]) ).
fof(f84,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.7LS3zoPI9a/Vampire---4.8_3333',mZeroMul) ).
fof(f2087,plain,
! [X8,X7] :
( sdtasdt0(X7,X8) = sdtpldt0(X7,sK5(X7,sdtasdt0(X7,X8)))
| ~ aNaturalNumber0(X7)
| sz00 = X8
| ~ aNaturalNumber0(X8) ),
inference(subsumption_resolution,[],[f2082,f188]) ).
fof(f2082,plain,
! [X8,X7] :
( sdtasdt0(X7,X8) = sdtpldt0(X7,sK5(X7,sdtasdt0(X7,X8)))
| ~ aNaturalNumber0(sdtasdt0(X7,X8))
| ~ aNaturalNumber0(X7)
| sz00 = X8
| ~ aNaturalNumber0(X8) ),
inference(duplicate_literal_removal,[],[f2066]) ).
fof(f2066,plain,
! [X8,X7] :
( sdtasdt0(X7,X8) = sdtpldt0(X7,sK5(X7,sdtasdt0(X7,X8)))
| ~ aNaturalNumber0(sdtasdt0(X7,X8))
| ~ aNaturalNumber0(X7)
| sz00 = X8
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) ),
inference(resolution,[],[f215,f193]) ).
fof(f2083,plain,
! [X6,X5] :
( sdtpldt0(X5,sK5(X5,X6)) = X6
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X5)
| X5 != X6 ),
inference(duplicate_literal_removal,[],[f2065]) ).
fof(f2065,plain,
! [X6,X5] :
( sdtpldt0(X5,sK5(X5,X6)) = X6
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X5)
| X5 != X6
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X5) ),
inference(resolution,[],[f215,f191]) ).
fof(f2084,plain,
! [X3,X4] :
( sdtpldt0(X3,sK5(X3,X4)) = X4
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| sdtlseqdt0(X4,X3) ),
inference(duplicate_literal_removal,[],[f2064]) ).
fof(f2064,plain,
! [X3,X4] :
( sdtpldt0(X3,sK5(X3,X4)) = X4
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| sdtlseqdt0(X4,X3)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4) ),
inference(resolution,[],[f215,f192]) ).
fof(f2085,plain,
! [X2,X1] :
( sdtpldt0(X1,sK5(X1,X2)) = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(X2,X1) ),
inference(duplicate_literal_removal,[],[f2063]) ).
fof(f2063,plain,
! [X2,X1] :
( sdtpldt0(X1,sK5(X1,X2)) = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(resolution,[],[f215,f192]) ).
fof(f1972,plain,
( ! [X49] :
( sdtasdt0(xn,xn) != X49
| doDivides0(xp,X49)
| ~ aNaturalNumber0(X49) )
| ~ spl6_4
| ~ spl6_52
| ~ spl6_138 ),
inference(subsumption_resolution,[],[f1971,f252]) ).
fof(f1971,plain,
( ! [X49] :
( sdtasdt0(xn,xn) != X49
| doDivides0(xp,X49)
| ~ aNaturalNumber0(X49)
| ~ aNaturalNumber0(xp) )
| ~ spl6_52
| ~ spl6_138 ),
inference(subsumption_resolution,[],[f1862,f591]) ).
fof(f1862,plain,
( ! [X49] :
( sdtasdt0(xn,xn) != X49
| doDivides0(xp,X49)
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ aNaturalNumber0(X49)
| ~ aNaturalNumber0(xp) )
| ~ spl6_138 ),
inference(superposition,[],[f213,f1775]) ).
fof(f1791,plain,
! [X1] :
( sdtasdt0(sK3(X1),sK4(sK3(X1),X1)) = X1
| ~ aNaturalNumber0(X1)
| sz10 = X1
| sz00 = X1 ),
inference(subsumption_resolution,[],[f1785,f184]) ).
fof(f1785,plain,
! [X1] :
( sdtasdt0(sK3(X1),sK4(sK3(X1),X1)) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sK3(X1))
| sz10 = X1
| sz00 = X1 ),
inference(duplicate_literal_removal,[],[f1784]) ).
fof(f1784,plain,
! [X1] :
( sdtasdt0(sK3(X1),sK4(sK3(X1),X1)) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sK3(X1))
| sz10 = X1
| sz00 = X1
| ~ aNaturalNumber0(X1) ),
inference(resolution,[],[f212,f185]) ).
fof(f1790,plain,
! [X0] :
( sdtasdt0(sK2(X0),sK4(sK2(X0),X0)) = X0
| ~ aNaturalNumber0(X0)
| sP0(X0)
| sz10 = X0
| sz00 = X0 ),
inference(subsumption_resolution,[],[f1783,f179]) ).
fof(f1783,plain,
! [X0] :
( sdtasdt0(sK2(X0),sK4(sK2(X0),X0)) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(X0))
| sP0(X0)
| sz10 = X0
| sz00 = X0 ),
inference(resolution,[],[f212,f180]) ).
fof(f1780,plain,
( sdtlseqdt0(xp,sdtasdt0(xn,xn))
| sz00 = sdtasdt0(xn,xn)
| ~ spl6_4
| ~ spl6_52
| ~ spl6_138 ),
inference(subsumption_resolution,[],[f1779,f591]) ).
fof(f1779,plain,
( sdtlseqdt0(xp,sdtasdt0(xn,xn))
| sz00 = sdtasdt0(xn,xn)
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ spl6_4
| ~ spl6_138 ),
inference(subsumption_resolution,[],[f1777,f252]) ).
fof(f1777,plain,
( sdtlseqdt0(xp,sdtasdt0(xn,xn))
| sz00 = sdtasdt0(xn,xn)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ spl6_138 ),
inference(superposition,[],[f193,f1775]) ).
fof(f1734,plain,
! [X0,X1] :
( aNaturalNumber0(sdtmndt0(X0,X1))
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(equality_resolution,[],[f194]) ).
fof(f194,plain,
! [X2,X0,X1] :
( sdtmndt0(X1,X0) != X2
| aNaturalNumber0(X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f1659,plain,
! [X8,X7] :
( sdtasdt0(X7,X8) = X7
| ~ sdtlseqdt0(sdtasdt0(X7,X8),X7)
| ~ aNaturalNumber0(X7)
| sz00 = X8
| ~ aNaturalNumber0(X8) ),
inference(subsumption_resolution,[],[f1654,f188]) ).
fof(f1654,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,[],[f1641]) ).
fof(f1641,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,[],[f210,f193]) ).
fof(f1508,plain,
( sz00 = sdtasdt0(sdtpldt0(xp,sdtasdt0(xn,xn)),sz00)
| ~ spl6_4
| ~ spl6_52 ),
inference(resolution,[],[f1192,f591]) ).
fof(f1591,plain,
! [X0] :
( sz00 = X0
| sdtlseqdt0(sK2(X0),X0)
| ~ aNaturalNumber0(X0)
| sP0(X0)
| sz10 = X0 ),
inference(subsumption_resolution,[],[f1585,f179]) ).
fof(f1585,plain,
! [X0] :
( sz00 = X0
| sdtlseqdt0(sK2(X0),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(X0))
| sP0(X0)
| sz10 = X0 ),
inference(duplicate_literal_removal,[],[f1582]) ).
fof(f1582,plain,
! [X0] :
( sz00 = X0
| sdtlseqdt0(sK2(X0),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(X0))
| sP0(X0)
| sz10 = X0
| sz00 = X0 ),
inference(resolution,[],[f209,f180]) ).
fof(f1511,plain,
( sz00 = sdtasdt0(sdtpldt0(xp,xp),sz00)
| ~ spl6_4 ),
inference(resolution,[],[f1192,f252]) ).
fof(f1515,plain,
( ! [X8,X9] :
( sz00 = sdtasdt0(sdtpldt0(xp,sK5(X8,X9)),sz00)
| ~ sdtlseqdt0(X8,X9)
| ~ aNaturalNumber0(X9)
| ~ aNaturalNumber0(X8) )
| ~ spl6_4 ),
inference(resolution,[],[f1192,f214]) ).
fof(f1514,plain,
( ! [X6,X7] :
( sz00 = sdtasdt0(sdtpldt0(xp,sK4(X6,X7)),sz00)
| ~ doDivides0(X6,X7)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X6) )
| ~ spl6_4 ),
inference(resolution,[],[f1192,f211]) ).
fof(f1513,plain,
( ! [X5] :
( sz00 = sdtasdt0(sdtpldt0(xp,sK3(X5)),sz00)
| sz10 = X5
| sz00 = X5
| ~ aNaturalNumber0(X5) )
| ~ spl6_4 ),
inference(resolution,[],[f1192,f184]) ).
fof(f1512,plain,
( ! [X4] :
( sz00 = sdtasdt0(sdtpldt0(xp,sK2(X4)),sz00)
| sP0(X4)
| sz10 = X4
| sz00 = X4 )
| ~ spl6_4 ),
inference(resolution,[],[f1192,f179]) ).
fof(f1506,plain,
( ! [X2,X3] :
( sz00 = sdtasdt0(sdtpldt0(xp,sdtasdt0(X2,X3)),sz00)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) )
| ~ spl6_4 ),
inference(resolution,[],[f1192,f188]) ).
fof(f1505,plain,
( ! [X0,X1] :
( sz00 = sdtasdt0(sdtpldt0(xp,sdtpldt0(X0,X1)),sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_4 ),
inference(resolution,[],[f1192,f187]) ).
fof(f200,plain,
! [X0,X1] :
( iLess0(X0,X1)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0,X1] :
( iLess0(X0,X1)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f86]) ).
fof(f86,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.7LS3zoPI9a/Vampire---4.8_3333',mIH_03) ).
fof(f1461,plain,
! [X1] :
( ~ sP0(X1)
| sK3(X1) = X1
| sz10 = sK3(X1)
| ~ aNaturalNumber0(X1) ),
inference(subsumption_resolution,[],[f1460,f176]) ).
fof(f1460,plain,
! [X1] :
( sz10 = sK3(X1)
| sK3(X1) = X1
| ~ sP0(X1)
| sz00 = X1
| ~ aNaturalNumber0(X1) ),
inference(subsumption_resolution,[],[f1459,f177]) ).
fof(f1459,plain,
! [X1] :
( sz10 = sK3(X1)
| sK3(X1) = X1
| ~ sP0(X1)
| sz10 = X1
| sz00 = X1
| ~ aNaturalNumber0(X1) ),
inference(subsumption_resolution,[],[f1456,f184]) ).
fof(f1456,plain,
! [X1] :
( sz10 = sK3(X1)
| sK3(X1) = X1
| ~ aNaturalNumber0(sK3(X1))
| ~ sP0(X1)
| sz10 = X1
| sz00 = X1
| ~ aNaturalNumber0(X1) ),
inference(resolution,[],[f178,f185]) ).
fof(f197,plain,
! [X0,X1] :
( sz00 != sdtpldt0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f1196,plain,
! [X21,X22,X20] :
( ~ aNaturalNumber0(X20)
| sz00 = sdtasdt0(sdtpldt0(sK5(X21,X22),X20),sz00)
| ~ sdtlseqdt0(X21,X22)
| ~ aNaturalNumber0(X22)
| ~ aNaturalNumber0(X21) ),
inference(resolution,[],[f484,f214]) ).
fof(f1195,plain,
! [X18,X19,X17] :
( ~ aNaturalNumber0(X17)
| sz00 = sdtasdt0(sdtpldt0(sK4(X18,X19),X17),sz00)
| ~ doDivides0(X18,X19)
| ~ aNaturalNumber0(X19)
| ~ aNaturalNumber0(X18) ),
inference(resolution,[],[f484,f211]) ).
fof(f1194,plain,
! [X16,X15] :
( ~ aNaturalNumber0(X15)
| sz00 = sdtasdt0(sdtpldt0(sK3(X16),X15),sz00)
| sz10 = X16
| sz00 = X16
| ~ aNaturalNumber0(X16) ),
inference(resolution,[],[f484,f184]) ).
fof(f1193,plain,
! [X14,X13] :
( ~ aNaturalNumber0(X13)
| sz00 = sdtasdt0(sdtpldt0(sK2(X14),X13),sz00)
| sP0(X14)
| sz10 = X14
| sz00 = X14 ),
inference(resolution,[],[f484,f179]) ).
fof(f1189,plain,
( ! [X9] :
( ~ aNaturalNumber0(X9)
| sz00 = sdtasdt0(sdtpldt0(sdtasdt0(xn,xn),X9),sz00) )
| ~ spl6_52 ),
inference(resolution,[],[f484,f591]) ).
fof(f1187,plain,
! [X6,X7,X5] :
( ~ aNaturalNumber0(X5)
| sz00 = sdtasdt0(sdtpldt0(sdtasdt0(X6,X7),X5),sz00)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X6) ),
inference(resolution,[],[f484,f188]) ).
fof(f1186,plain,
! [X2,X3,X4] :
( ~ aNaturalNumber0(X2)
| sz00 = sdtasdt0(sdtpldt0(sdtpldt0(X3,X4),X2),sz00)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3) ),
inference(resolution,[],[f484,f187]) ).
fof(f1072,plain,
( sz00 = sdtasdt0(sz00,sdtpldt0(xp,sdtasdt0(xn,xn)))
| ~ spl6_4
| ~ spl6_52 ),
inference(resolution,[],[f989,f591]) ).
fof(f182,plain,
! [X0] :
( sK2(X0) != X0
| sP0(X0)
| sz10 = X0
| sz00 = X0 ),
inference(cnf_transformation,[],[f130]) ).
fof(f1075,plain,
( sz00 = sdtasdt0(sz00,sdtpldt0(xp,xp))
| ~ spl6_4 ),
inference(resolution,[],[f989,f252]) ).
fof(f1079,plain,
( ! [X8,X9] :
( sz00 = sdtasdt0(sz00,sdtpldt0(xp,sK5(X8,X9)))
| ~ sdtlseqdt0(X8,X9)
| ~ aNaturalNumber0(X9)
| ~ aNaturalNumber0(X8) )
| ~ spl6_4 ),
inference(resolution,[],[f989,f214]) ).
fof(f1078,plain,
( ! [X6,X7] :
( sz00 = sdtasdt0(sz00,sdtpldt0(xp,sK4(X6,X7)))
| ~ doDivides0(X6,X7)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X6) )
| ~ spl6_4 ),
inference(resolution,[],[f989,f211]) ).
fof(f1077,plain,
( ! [X5] :
( sz00 = sdtasdt0(sz00,sdtpldt0(xp,sK3(X5)))
| sz10 = X5
| sz00 = X5
| ~ aNaturalNumber0(X5) )
| ~ spl6_4 ),
inference(resolution,[],[f989,f184]) ).
fof(f1076,plain,
( ! [X4] :
( sz00 = sdtasdt0(sz00,sdtpldt0(xp,sK2(X4)))
| sP0(X4)
| sz10 = X4
| sz00 = X4 )
| ~ spl6_4 ),
inference(resolution,[],[f989,f179]) ).
fof(f1070,plain,
( ! [X2,X3] :
( sz00 = sdtasdt0(sz00,sdtpldt0(xp,sdtasdt0(X2,X3)))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) )
| ~ spl6_4 ),
inference(resolution,[],[f989,f188]) ).
fof(f1069,plain,
( ! [X0,X1] :
( sz00 = sdtasdt0(sz00,sdtpldt0(xp,sdtpldt0(X0,X1)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_4 ),
inference(resolution,[],[f989,f187]) ).
fof(f181,plain,
! [X0] :
( sz10 != sK2(X0)
| sP0(X0)
| sz10 = X0
| sz00 = X0 ),
inference(cnf_transformation,[],[f130]) ).
fof(f993,plain,
! [X21,X22,X20] :
( ~ aNaturalNumber0(X20)
| sz00 = sdtasdt0(sz00,sdtpldt0(sK5(X21,X22),X20))
| ~ sdtlseqdt0(X21,X22)
| ~ aNaturalNumber0(X22)
| ~ aNaturalNumber0(X21) ),
inference(resolution,[],[f483,f214]) ).
fof(f992,plain,
! [X18,X19,X17] :
( ~ aNaturalNumber0(X17)
| sz00 = sdtasdt0(sz00,sdtpldt0(sK4(X18,X19),X17))
| ~ doDivides0(X18,X19)
| ~ aNaturalNumber0(X19)
| ~ aNaturalNumber0(X18) ),
inference(resolution,[],[f483,f211]) ).
fof(f991,plain,
! [X16,X15] :
( ~ aNaturalNumber0(X15)
| sz00 = sdtasdt0(sz00,sdtpldt0(sK3(X16),X15))
| sz10 = X16
| sz00 = X16
| ~ aNaturalNumber0(X16) ),
inference(resolution,[],[f483,f184]) ).
fof(f990,plain,
! [X14,X13] :
( ~ aNaturalNumber0(X13)
| sz00 = sdtasdt0(sz00,sdtpldt0(sK2(X14),X13))
| sP0(X14)
| sz10 = X14
| sz00 = X14 ),
inference(resolution,[],[f483,f179]) ).
fof(f986,plain,
( ! [X9] :
( ~ aNaturalNumber0(X9)
| sz00 = sdtasdt0(sz00,sdtpldt0(sdtasdt0(xn,xn),X9)) )
| ~ spl6_52 ),
inference(resolution,[],[f483,f591]) ).
fof(f984,plain,
! [X6,X7,X5] :
( ~ aNaturalNumber0(X5)
| sz00 = sdtasdt0(sz00,sdtpldt0(sdtasdt0(X6,X7),X5))
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X6) ),
inference(resolution,[],[f483,f188]) ).
fof(f983,plain,
! [X2,X3,X4] :
( ~ aNaturalNumber0(X2)
| sz00 = sdtasdt0(sz00,sdtpldt0(sdtpldt0(X3,X4),X2))
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3) ),
inference(resolution,[],[f483,f187]) ).
fof(f980,plain,
( ! [X36,X37] :
( ~ sdtlseqdt0(X36,X37)
| ~ aNaturalNumber0(X37)
| ~ aNaturalNumber0(X36)
| sdtasdt0(sK5(X36,X37),xp) = sdtasdt0(xp,sK5(X36,X37)) )
| ~ spl6_4 ),
inference(resolution,[],[f214,f796]) ).
fof(f975,plain,
( ! [X26,X27] :
( ~ sdtlseqdt0(X26,X27)
| ~ aNaturalNumber0(X27)
| ~ aNaturalNumber0(X26)
| sdtpldt0(sK5(X26,X27),xp) = sdtpldt0(xp,sK5(X26,X27)) )
| ~ spl6_4 ),
inference(resolution,[],[f214,f732]) ).
fof(f970,plain,
! [X16,X17,X15] :
( ~ sdtlseqdt0(X15,X16)
| ~ aNaturalNumber0(X16)
| ~ aNaturalNumber0(X15)
| sdtasdt0(X17,sK5(X15,X16)) = sdtasdt0(sK5(X15,X16),X17)
| ~ aNaturalNumber0(X17) ),
inference(resolution,[],[f214,f190]) ).
fof(f969,plain,
! [X14,X12,X13] :
( ~ sdtlseqdt0(X12,X13)
| ~ aNaturalNumber0(X13)
| ~ aNaturalNumber0(X12)
| sdtpldt0(X14,sK5(X12,X13)) = sdtpldt0(sK5(X12,X13),X14)
| ~ aNaturalNumber0(X14) ),
inference(resolution,[],[f214,f189]) ).
fof(f968,plain,
! [X10,X11] :
( ~ sdtlseqdt0(X10,X11)
| ~ aNaturalNumber0(X11)
| ~ aNaturalNumber0(X10)
| sK5(X10,X11) = sdtasdt0(sz10,sK5(X10,X11)) ),
inference(resolution,[],[f214,f169]) ).
fof(f967,plain,
! [X8,X9] :
( ~ sdtlseqdt0(X8,X9)
| ~ aNaturalNumber0(X9)
| ~ aNaturalNumber0(X8)
| sK5(X8,X9) = sdtasdt0(sK5(X8,X9),sz10) ),
inference(resolution,[],[f214,f168]) ).
fof(f966,plain,
! [X6,X7] :
( ~ sdtlseqdt0(X6,X7)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X6)
| sK5(X6,X7) = sdtpldt0(sz00,sK5(X6,X7)) ),
inference(resolution,[],[f214,f167]) ).
fof(f965,plain,
! [X4,X5] :
( ~ sdtlseqdt0(X4,X5)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X4)
| sK5(X4,X5) = sdtpldt0(sK5(X4,X5),sz00) ),
inference(resolution,[],[f214,f166]) ).
fof(f964,plain,
! [X2,X3] :
( ~ sdtlseqdt0(X2,X3)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| sz00 = sdtasdt0(sz00,sK5(X2,X3)) ),
inference(resolution,[],[f214,f165]) ).
fof(f963,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sK5(X0,X1),sz00) ),
inference(resolution,[],[f214,f164]) ).
fof(f886,plain,
( ! [X6,X7] :
( sdtasdt0(sK4(X6,X7),xp) = sdtasdt0(xp,sK4(X6,X7))
| ~ doDivides0(X6,X7)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X6) )
| ~ spl6_4 ),
inference(resolution,[],[f796,f211]) ).
fof(f885,plain,
( ! [X5] :
( sdtasdt0(sK3(X5),xp) = sdtasdt0(xp,sK3(X5))
| sz10 = X5
| sz00 = X5
| ~ aNaturalNumber0(X5) )
| ~ spl6_4 ),
inference(resolution,[],[f796,f184]) ).
fof(f884,plain,
( ! [X4] :
( sdtasdt0(sK2(X4),xp) = sdtasdt0(xp,sK2(X4))
| sP0(X4)
| sz10 = X4
| sz00 = X4 )
| ~ spl6_4 ),
inference(resolution,[],[f796,f179]) ).
fof(f880,plain,
( sdtasdt0(sdtasdt0(xn,xn),xp) = sdtasdt0(xp,sdtasdt0(xn,xn))
| ~ spl6_4
| ~ spl6_52 ),
inference(resolution,[],[f796,f591]) ).
fof(f878,plain,
( ! [X2,X3] :
( sdtasdt0(sdtasdt0(X2,X3),xp) = sdtasdt0(xp,sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) )
| ~ spl6_4 ),
inference(resolution,[],[f796,f188]) ).
fof(f877,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xp) = sdtasdt0(xp,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_4 ),
inference(resolution,[],[f796,f187]) ).
fof(f871,plain,
( ! [X22,X23] :
( ~ doDivides0(X22,X23)
| ~ aNaturalNumber0(X23)
| ~ aNaturalNumber0(X22)
| sdtpldt0(sK4(X22,X23),xp) = sdtpldt0(xp,sK4(X22,X23)) )
| ~ spl6_4 ),
inference(resolution,[],[f211,f732]) ).
fof(f868,plain,
! [X16,X17,X15] :
( ~ doDivides0(X15,X16)
| ~ aNaturalNumber0(X16)
| ~ aNaturalNumber0(X15)
| sdtasdt0(X17,sK4(X15,X16)) = sdtasdt0(sK4(X15,X16),X17)
| ~ aNaturalNumber0(X17) ),
inference(resolution,[],[f211,f190]) ).
fof(f867,plain,
! [X14,X12,X13] :
( ~ doDivides0(X12,X13)
| ~ aNaturalNumber0(X13)
| ~ aNaturalNumber0(X12)
| sdtpldt0(X14,sK4(X12,X13)) = sdtpldt0(sK4(X12,X13),X14)
| ~ aNaturalNumber0(X14) ),
inference(resolution,[],[f211,f189]) ).
fof(f866,plain,
! [X10,X11] :
( ~ doDivides0(X10,X11)
| ~ aNaturalNumber0(X11)
| ~ aNaturalNumber0(X10)
| sK4(X10,X11) = sdtasdt0(sz10,sK4(X10,X11)) ),
inference(resolution,[],[f211,f169]) ).
fof(f865,plain,
! [X8,X9] :
( ~ doDivides0(X8,X9)
| ~ aNaturalNumber0(X9)
| ~ aNaturalNumber0(X8)
| sK4(X8,X9) = sdtasdt0(sK4(X8,X9),sz10) ),
inference(resolution,[],[f211,f168]) ).
fof(f864,plain,
! [X6,X7] :
( ~ doDivides0(X6,X7)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X6)
| sK4(X6,X7) = sdtpldt0(sz00,sK4(X6,X7)) ),
inference(resolution,[],[f211,f167]) ).
fof(f863,plain,
! [X4,X5] :
( ~ doDivides0(X4,X5)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X4)
| sK4(X4,X5) = sdtpldt0(sK4(X4,X5),sz00) ),
inference(resolution,[],[f211,f166]) ).
fof(f862,plain,
! [X2,X3] :
( ~ doDivides0(X2,X3)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| sz00 = sdtasdt0(sz00,sK4(X2,X3)) ),
inference(resolution,[],[f211,f165]) ).
fof(f861,plain,
! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sK4(X0,X1),sz00) ),
inference(resolution,[],[f211,f164]) ).
fof(f810,plain,
( ! [X5] :
( sdtpldt0(sK3(X5),xp) = sdtpldt0(xp,sK3(X5))
| sz10 = X5
| sz00 = X5
| ~ aNaturalNumber0(X5) )
| ~ spl6_4 ),
inference(resolution,[],[f732,f184]) ).
fof(f809,plain,
( ! [X4] :
( sdtpldt0(sK2(X4),xp) = sdtpldt0(xp,sK2(X4))
| sP0(X4)
| sz10 = X4
| sz00 = X4 )
| ~ spl6_4 ),
inference(resolution,[],[f732,f179]) ).
fof(f805,plain,
( sdtpldt0(sdtasdt0(xn,xn),xp) = sdtpldt0(xp,sdtasdt0(xn,xn))
| ~ spl6_4
| ~ spl6_52 ),
inference(resolution,[],[f732,f591]) ).
fof(f803,plain,
( ! [X2,X3] :
( sdtpldt0(sdtasdt0(X2,X3),xp) = sdtpldt0(xp,sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) )
| ~ spl6_4 ),
inference(resolution,[],[f732,f188]) ).
fof(f802,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xp) = sdtpldt0(xp,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_4 ),
inference(resolution,[],[f732,f187]) ).
fof(f798,plain,
! [X16,X15] :
( sdtasdt0(X15,sK3(X16)) = sdtasdt0(sK3(X16),X15)
| ~ aNaturalNumber0(X15)
| sz10 = X16
| sz00 = X16
| ~ aNaturalNumber0(X16) ),
inference(resolution,[],[f190,f184]) ).
fof(f797,plain,
! [X14,X13] :
( sdtasdt0(X13,sK2(X14)) = sdtasdt0(sK2(X14),X13)
| ~ aNaturalNumber0(X13)
| sP0(X14)
| sz10 = X14
| sz00 = X14 ),
inference(resolution,[],[f190,f179]) ).
fof(f793,plain,
( ! [X9] :
( sdtasdt0(X9,sdtasdt0(xn,xn)) = sdtasdt0(sdtasdt0(xn,xn),X9)
| ~ aNaturalNumber0(X9) )
| ~ spl6_52 ),
inference(resolution,[],[f190,f591]) ).
fof(f791,plain,
! [X6,X7,X5] :
( sdtasdt0(X5,sdtasdt0(X6,X7)) = sdtasdt0(sdtasdt0(X6,X7),X5)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X6) ),
inference(resolution,[],[f190,f188]) ).
fof(f790,plain,
! [X2,X3,X4] :
( sdtasdt0(X2,sdtpldt0(X3,X4)) = sdtasdt0(sdtpldt0(X3,X4),X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3) ),
inference(resolution,[],[f190,f187]) ).
fof(f734,plain,
! [X16,X15] :
( sdtpldt0(X15,sK3(X16)) = sdtpldt0(sK3(X16),X15)
| ~ aNaturalNumber0(X15)
| sz10 = X16
| sz00 = X16
| ~ aNaturalNumber0(X16) ),
inference(resolution,[],[f189,f184]) ).
fof(f733,plain,
! [X14,X13] :
( sdtpldt0(X13,sK2(X14)) = sdtpldt0(sK2(X14),X13)
| ~ aNaturalNumber0(X13)
| sP0(X14)
| sz10 = X14
| sz00 = X14 ),
inference(resolution,[],[f189,f179]) ).
fof(f729,plain,
( ! [X9] :
( sdtpldt0(X9,sdtasdt0(xn,xn)) = sdtpldt0(sdtasdt0(xn,xn),X9)
| ~ aNaturalNumber0(X9) )
| ~ spl6_52 ),
inference(resolution,[],[f189,f591]) ).
fof(f727,plain,
! [X6,X7,X5] :
( sdtpldt0(X5,sdtasdt0(X6,X7)) = sdtpldt0(sdtasdt0(X6,X7),X5)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X6) ),
inference(resolution,[],[f189,f188]) ).
fof(f726,plain,
! [X2,X3,X4] :
( sdtpldt0(X2,sdtpldt0(X3,X4)) = sdtpldt0(sdtpldt0(X3,X4),X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3) ),
inference(resolution,[],[f189,f187]) ).
fof(f186,plain,
! [X0] :
( isPrime0(sK3(X0))
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f723,plain,
! [X5] :
( sz10 = X5
| sz00 = X5
| ~ aNaturalNumber0(X5)
| sz00 = sdtasdt0(sK3(X5),sz00) ),
inference(resolution,[],[f184,f164]) ).
fof(f722,plain,
! [X4] :
( sz10 = X4
| sz00 = X4
| ~ aNaturalNumber0(X4)
| sz00 = sdtasdt0(sz00,sK3(X4)) ),
inference(resolution,[],[f184,f165]) ).
fof(f721,plain,
! [X3] :
( sz10 = X3
| sz00 = X3
| ~ aNaturalNumber0(X3)
| sK3(X3) = sdtpldt0(sK3(X3),sz00) ),
inference(resolution,[],[f184,f166]) ).
fof(f720,plain,
! [X2] :
( sz10 = X2
| sz00 = X2
| ~ aNaturalNumber0(X2)
| sK3(X2) = sdtpldt0(sz00,sK3(X2)) ),
inference(resolution,[],[f184,f167]) ).
fof(f719,plain,
! [X1] :
( sz10 = X1
| sz00 = X1
| ~ aNaturalNumber0(X1)
| sK3(X1) = sdtasdt0(sK3(X1),sz10) ),
inference(resolution,[],[f184,f168]) ).
fof(f718,plain,
! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sK3(X0) = sdtasdt0(sz10,sK3(X0)) ),
inference(resolution,[],[f184,f169]) ).
fof(f717,plain,
! [X5] :
( sP0(X5)
| sz10 = X5
| sz00 = X5
| sz00 = sdtasdt0(sK2(X5),sz00) ),
inference(resolution,[],[f179,f164]) ).
fof(f716,plain,
! [X4] :
( sP0(X4)
| sz10 = X4
| sz00 = X4
| sz00 = sdtasdt0(sz00,sK2(X4)) ),
inference(resolution,[],[f179,f165]) ).
fof(f715,plain,
! [X3] :
( sP0(X3)
| sz10 = X3
| sz00 = X3
| sK2(X3) = sdtpldt0(sK2(X3),sz00) ),
inference(resolution,[],[f179,f166]) ).
fof(f714,plain,
! [X2] :
( sP0(X2)
| sz10 = X2
| sz00 = X2
| sK2(X2) = sdtpldt0(sz00,sK2(X2)) ),
inference(resolution,[],[f179,f167]) ).
fof(f713,plain,
! [X1] :
( sP0(X1)
| sz10 = X1
| sz00 = X1
| sK2(X1) = sdtasdt0(sK2(X1),sz10) ),
inference(resolution,[],[f179,f168]) ).
fof(f712,plain,
! [X0] :
( sP0(X0)
| sz10 = X0
| sz00 = X0
| sK2(X0) = sdtasdt0(sz10,sK2(X0)) ),
inference(resolution,[],[f179,f169]) ).
fof(f171,plain,
! [X0] :
( sdtlseqdt0(sz10,X0)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0] :
( ( sdtlseqdt0(sz10,X0)
& sz10 != X0 )
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f60]) ).
fof(f60,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.7LS3zoPI9a/Vampire---4.8_3333',mLENTr) ).
fof(f192,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f605,plain,
( sdtasdt0(xn,xn) = sdtpldt0(sdtasdt0(xn,xn),sz00)
| ~ spl6_52 ),
inference(resolution,[],[f591,f166]) ).
fof(f604,plain,
( sdtasdt0(xn,xn) = sdtpldt0(sz00,sdtasdt0(xn,xn))
| ~ spl6_52 ),
inference(resolution,[],[f591,f167]) ).
fof(f603,plain,
( sdtasdt0(xn,xn) = sdtasdt0(sdtasdt0(xn,xn),sz10)
| ~ spl6_52 ),
inference(resolution,[],[f591,f168]) ).
fof(f602,plain,
( sdtasdt0(xn,xn) = sdtasdt0(sz10,sdtasdt0(xn,xn))
| ~ spl6_52 ),
inference(resolution,[],[f591,f169]) ).
fof(f607,plain,
( sz00 = sdtasdt0(sdtasdt0(xn,xn),sz00)
| ~ spl6_52 ),
inference(resolution,[],[f591,f164]) ).
fof(f606,plain,
( sz00 = sdtasdt0(sz00,sdtasdt0(xn,xn))
| ~ spl6_52 ),
inference(resolution,[],[f591,f165]) ).
fof(f158,plain,
( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm))
| ~ sdtlseqdt0(xn,xm) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm))
| ~ sdtlseqdt0(xn,xm) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,axiom,
( sdtlseqdt0(xn,xm)
=> sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm)) ),
file('/export/starexec/sandbox/tmp/tmp.7LS3zoPI9a/Vampire---4.8_3333',m__3152) ).
fof(f149,plain,
sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn),
inference(cnf_transformation,[],[f42]) ).
fof(f42,axiom,
sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn),
file('/export/starexec/sandbox/tmp/tmp.7LS3zoPI9a/Vampire---4.8_3333',m__3014) ).
fof(f148,plain,
sdtasdt0(xm,xm) = sdtasdt0(xp,sdtasdt0(xq,xq)),
inference(cnf_transformation,[],[f46]) ).
fof(f46,axiom,
sdtasdt0(xm,xm) = sdtasdt0(xp,sdtasdt0(xq,xq)),
file('/export/starexec/sandbox/tmp/tmp.7LS3zoPI9a/Vampire---4.8_3333',m__3082) ).
fof(f515,plain,
! [X10,X11] :
( ~ aNaturalNumber0(X11)
| ~ aNaturalNumber0(X10)
| sz00 = sdtasdt0(sdtasdt0(X11,X10),sz00) ),
inference(resolution,[],[f188,f164]) ).
fof(f514,plain,
! [X8,X9] :
( ~ aNaturalNumber0(X9)
| ~ aNaturalNumber0(X8)
| sz00 = sdtasdt0(sz00,sdtasdt0(X9,X8)) ),
inference(resolution,[],[f188,f165]) ).
fof(f513,plain,
! [X6,X7] :
( ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X6)
| sdtasdt0(X7,X6) = sdtpldt0(sdtasdt0(X7,X6),sz00) ),
inference(resolution,[],[f188,f166]) ).
fof(f512,plain,
! [X4,X5] :
( ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X4)
| sdtasdt0(X5,X4) = sdtpldt0(sz00,sdtasdt0(X5,X4)) ),
inference(resolution,[],[f188,f167]) ).
fof(f511,plain,
! [X2,X3] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X3,X2) = sdtasdt0(sdtasdt0(X3,X2),sz10) ),
inference(resolution,[],[f188,f168]) ).
fof(f510,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X1,X0) = sdtasdt0(sz10,sdtasdt0(X1,X0)) ),
inference(resolution,[],[f188,f169]) ).
fof(f478,plain,
( xp = sdtasdt0(sz10,xp)
| ~ spl6_4 ),
inference(resolution,[],[f169,f252]) ).
fof(f482,plain,
! [X6,X7] :
( ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X6)
| sdtpldt0(X7,X6) = sdtpldt0(sdtpldt0(X7,X6),sz00) ),
inference(resolution,[],[f187,f166]) ).
fof(f481,plain,
! [X4,X5] :
( ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X4)
| sdtpldt0(X5,X4) = sdtpldt0(sz00,sdtpldt0(X5,X4)) ),
inference(resolution,[],[f187,f167]) ).
fof(f480,plain,
! [X2,X3] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X3,X2) = sdtasdt0(sdtpldt0(X3,X2),sz10) ),
inference(resolution,[],[f187,f168]) ).
fof(f479,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X1,X0) = sdtasdt0(sz10,sdtpldt0(X1,X0)) ),
inference(resolution,[],[f187,f169]) ).
fof(f453,plain,
( xp = sdtasdt0(xp,sz10)
| ~ spl6_4 ),
inference(resolution,[],[f168,f252]) ).
fof(f423,plain,
( xp = sdtpldt0(sz00,xp)
| ~ spl6_4 ),
inference(resolution,[],[f167,f252]) ).
fof(f392,plain,
( xp = sdtpldt0(xp,sz00)
| ~ spl6_4 ),
inference(resolution,[],[f166,f252]) ).
fof(f362,plain,
( sz00 = sdtasdt0(sz00,xp)
| ~ spl6_4 ),
inference(resolution,[],[f165,f252]) ).
fof(f342,plain,
( sz00 = sdtasdt0(xp,sz00)
| ~ spl6_4 ),
inference(resolution,[],[f164,f252]) ).
fof(f321,plain,
! [X0] :
( ~ sP0(X0)
| isPrime0(X0)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f175,f183]) ).
fof(f175,plain,
! [X0] :
( ~ sP1(X0)
| ~ sP0(X0)
| isPrime0(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f314,plain,
~ sP0(sz10),
inference(equality_resolution,[],[f177]) ).
fof(f177,plain,
! [X0] :
( sz10 != X0
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f308,plain,
~ sP0(sz00),
inference(equality_resolution,[],[f176]) ).
fof(f176,plain,
! [X0] :
( sz00 != X0
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f156,plain,
doDivides0(xp,sdtasdt0(xn,xn)),
inference(cnf_transformation,[],[f44]) ).
fof(f44,axiom,
( doDivides0(xp,xn)
& doDivides0(xp,sdtasdt0(xn,xn)) ),
file('/export/starexec/sandbox/tmp/tmp.7LS3zoPI9a/Vampire---4.8_3333',m__3046) ).
fof(f147,plain,
xq = sdtsldt0(xn,xp),
inference(cnf_transformation,[],[f45]) ).
fof(f45,axiom,
xq = sdtsldt0(xn,xp),
file('/export/starexec/sandbox/tmp/tmp.7LS3zoPI9a/Vampire---4.8_3333',m__3059) ).
fof(f145,plain,
( ~ sdtlseqdt0(xm,xn)
| xn = xm ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
( ~ sdtlseqdt0(xm,xn)
| xn = xm ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,negated_conjecture,
~ ( sdtlseqdt0(xm,xn)
& xn != xm ),
inference(negated_conjecture,[],[f48]) ).
fof(f48,conjecture,
( sdtlseqdt0(xm,xn)
& xn != xm ),
file('/export/starexec/sandbox/tmp/tmp.7LS3zoPI9a/Vampire---4.8_3333',m__) ).
fof(f162,plain,
sz00 != sz10,
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( sz00 != sz10
& aNaturalNumber0(sz10) ),
file('/export/starexec/sandbox/tmp/tmp.7LS3zoPI9a/Vampire---4.8_3333',mSortsC_01) ).
fof(f157,plain,
doDivides0(xp,xn),
inference(cnf_transformation,[],[f44]) ).
fof(f155,plain,
sz00 != xp,
inference(cnf_transformation,[],[f40]) ).
fof(f40,axiom,
( sz00 != xp
& sz00 != xm
& sz00 != xn
& aNaturalNumber0(xp)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox/tmp/tmp.7LS3zoPI9a/Vampire---4.8_3333',m__2987) ).
fof(f154,plain,
sz00 != xm,
inference(cnf_transformation,[],[f40]) ).
fof(f153,plain,
sz00 != xn,
inference(cnf_transformation,[],[f40]) ).
fof(f161,plain,
aNaturalNumber0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f160,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/tmp/tmp.7LS3zoPI9a/Vampire---4.8_3333',mSortsC) ).
fof(f152,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f40]) ).
fof(f151,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f40]) ).
fof(f150,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f40]) ).
fof(f146,plain,
isPrime0(xp),
inference(cnf_transformation,[],[f43]) ).
fof(f43,axiom,
isPrime0(xp),
file('/export/starexec/sandbox/tmp/tmp.7LS3zoPI9a/Vampire---4.8_3333',m__3025) ).
fof(f227,plain,
! [X2,X0,X1] :
( doDivides0(X0,sdtpldt0(X1,X2))
| ~ doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0,X1,X2] :
( doDivides0(X0,sdtpldt0(X1,X2))
| ~ doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f114]) ).
fof(f114,plain,
! [X0,X1,X2] :
( doDivides0(X0,sdtpldt0(X1,X2))
| ~ doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(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.7LS3zoPI9a/Vampire---4.8_3333',mDivSum) ).
fof(f233,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
| X1 = X2
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption,[],[f145,f146,f147,f148,f149,f155,f154,f153,f152,f151,f150,f157,f156,f158,f159,f160,f162,f161,f163,f165,f164,f167,f166,f169,f168,f171,f173,f172,f175,f174,f182,f181,f180,f179,f178,f177,f176,f183,f186,f185,f184,f187,f188,f189,f190,f192,f191,f193,f196,f195,f194,f198,f197,f199,f200,f204,f203,f202,f201,f205,f208,f207,f206,f209,f210,f213,f212,f211,f216,f215,f214,f217,f218,f220,f219,f221,f225,f224,f232,f223,f222]) ).
fof(f222,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,[],[f111]) ).
fof(f111,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,[],[f110]) ).
fof(f110,plain,
! [X0,X1,X2] :
( ( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X0,X1) != sdtasdt0(X0,X2) )
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(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.7LS3zoPI9a/Vampire---4.8_3333',mMonMul) ).
fof(f223,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,[],[f111]) ).
fof(f232,plain,
! [X2,X0,X1] :
( sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
| X1 = X2
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption,[],[f145,f146,f147,f148,f149,f155,f154,f153,f152,f151,f150,f157,f156,f158,f159,f160,f162,f161,f163,f165,f164,f167,f166,f169,f168,f171,f173,f172,f175,f174,f182,f181,f180,f179,f178,f177,f176,f183,f186,f185,f184,f187,f188,f189,f190,f192,f191,f193,f196,f195,f194,f198,f197,f199,f200,f204,f203,f202,f201,f205,f208,f207,f206,f209,f210,f213,f212,f211,f216,f215,f214,f217,f218,f220,f219,f221,f225,f224]) ).
fof(f224,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,[],[f111]) ).
fof(f225,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,[],[f111]) ).
fof(f219,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,[],[f107]) ).
fof(f107,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,[],[f106]) ).
fof(f106,plain,
! [X0,X1,X2] :
( ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(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.7LS3zoPI9a/Vampire---4.8_3333',mAMDistr) ).
fof(f220,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,[],[f107]) ).
fof(f218,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1,X2] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f104]) ).
fof(f104,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.7LS3zoPI9a/Vampire---4.8_3333',mMulAsso) ).
fof(f217,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1,X2] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f102]) ).
fof(f102,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.7LS3zoPI9a/Vampire---4.8_3333',mAddAsso) ).
fof(f201,plain,
! [X2,X0,X1] :
( sdtpldt0(X2,X0) != sdtpldt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,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,[],[f88]) ).
fof(f88,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
& sdtpldt0(X1,X2) != sdtpldt0(X0,X2)
& sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
& sdtpldt0(X2,X0) != sdtpldt0(X2,X1) )
| ~ aNaturalNumber0(X2) )
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(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.7LS3zoPI9a/Vampire---4.8_3333',mMonAdd) ).
fof(f202,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,[],[f89]) ).
fof(f203,plain,
! [X2,X0,X1] :
( sdtpldt0(X1,X2) != sdtpldt0(X0,X2)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f204,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,[],[f89]) ).
fof(f159,plain,
! [X2,X0,X1] :
( sdtasdt0(X2,sdtasdt0(X1,X1)) != sdtasdt0(X0,X0)
| ~ iLess0(X0,xn)
| ~ isPrime0(X2)
| sz00 = X2
| sz00 = X1
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1,X2] :
( ~ isPrime0(X2)
| ~ iLess0(X0,xn)
| sdtasdt0(X2,sdtasdt0(X1,X1)) != sdtasdt0(X0,X0)
| sz00 = X2
| sz00 = X1
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f54]) ).
fof(f54,plain,
! [X0,X1,X2] :
( ~ isPrime0(X2)
| ~ iLess0(X0,xn)
| sdtasdt0(X2,sdtasdt0(X1,X1)) != sdtasdt0(X0,X0)
| sz00 = X2
| sz00 = X1
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X0,X1,X2] :
( ( sz00 != X2
& sz00 != X1
& sz00 != X0
& aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sdtasdt0(X2,sdtasdt0(X1,X1)) = sdtasdt0(X0,X0)
=> ( iLess0(X0,xn)
=> ~ isPrime0(X2) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.7LS3zoPI9a/Vampire---4.8_3333',m__2963) ).
fof(f3164,plain,
( sdtlseqdt0(xp,sdtasdt0(xn,xn))
| sz00 = sdtasdt0(xq,xq)
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ spl6_4
| ~ spl6_45
| ~ spl6_61 ),
inference(forward_demodulation,[],[f3163,f647]) ).
fof(f3163,plain,
( sdtlseqdt0(xp,sdtasdt0(xm,xm))
| sz00 = sdtasdt0(xq,xq)
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ spl6_4
| ~ spl6_45 ),
inference(subsumption_resolution,[],[f1254,f252]) ).
fof(f1254,plain,
( sdtlseqdt0(xp,sdtasdt0(xm,xm))
| sz00 = sdtasdt0(xq,xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ spl6_45 ),
inference(superposition,[],[f193,f537]) ).
fof(f3156,plain,
( ~ spl6_2
| ~ spl6_4
| spl6_9
| ~ spl6_10
| ~ spl6_14
| spl6_49 ),
inference(avatar_contradiction_clause,[],[f3155]) ).
fof(f3155,plain,
( $false
| ~ spl6_2
| ~ spl6_4
| spl6_9
| ~ spl6_10
| ~ spl6_14
| spl6_49 ),
inference(subsumption_resolution,[],[f3154,f563]) ).
fof(f563,plain,
( ~ aNaturalNumber0(xq)
| spl6_49 ),
inference(avatar_component_clause,[],[f561]) ).
fof(f3154,plain,
( aNaturalNumber0(xq)
| ~ spl6_2
| ~ spl6_4
| spl6_9
| ~ spl6_10
| ~ spl6_14 ),
inference(equality_resolution,[],[f3153]) ).
fof(f3134,plain,
( spl6_173
| ~ spl6_3
| ~ spl6_4
| ~ spl6_171 ),
inference(avatar_split_clause,[],[f3117,f3107,f250,f245,f3131]) ).
fof(f3131,plain,
( spl6_173
<=> xm = sdtpldt0(xp,sK5(xp,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_173])]) ).
fof(f3117,plain,
( xm = sdtpldt0(xp,sK5(xp,xm))
| ~ spl6_3
| ~ spl6_4
| ~ spl6_171 ),
inference(subsumption_resolution,[],[f3116,f252]) ).
fof(f3116,plain,
( xm = sdtpldt0(xp,sK5(xp,xm))
| ~ aNaturalNumber0(xp)
| ~ spl6_3
| ~ spl6_171 ),
inference(subsumption_resolution,[],[f3112,f247]) ).
fof(f3112,plain,
( xm = sdtpldt0(xp,sK5(xp,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xp)
| ~ spl6_171 ),
inference(resolution,[],[f3109,f215]) ).
fof(f3125,plain,
( ~ spl6_172
| ~ spl6_3
| ~ spl6_4
| spl6_148
| ~ spl6_171 ),
inference(avatar_split_clause,[],[f3120,f3107,f2425,f250,f245,f3122]) ).
fof(f3122,plain,
( spl6_172
<=> sdtlseqdt0(xm,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_172])]) ).
fof(f2425,plain,
( spl6_148
<=> xm = xp ),
introduced(avatar_definition,[new_symbols(naming,[spl6_148])]) ).
fof(f3120,plain,
( ~ sdtlseqdt0(xm,xp)
| ~ spl6_3
| ~ spl6_4
| spl6_148
| ~ spl6_171 ),
inference(subsumption_resolution,[],[f3119,f247]) ).
fof(f3119,plain,
( ~ sdtlseqdt0(xm,xp)
| ~ aNaturalNumber0(xm)
| ~ spl6_4
| spl6_148
| ~ spl6_171 ),
inference(subsumption_resolution,[],[f3118,f252]) ).
fof(f3118,plain,
( ~ sdtlseqdt0(xm,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| spl6_148
| ~ spl6_171 ),
inference(subsumption_resolution,[],[f3113,f2427]) ).
fof(f2427,plain,
( xm != xp
| spl6_148 ),
inference(avatar_component_clause,[],[f2425]) ).
fof(f3113,plain,
( xm = xp
| ~ sdtlseqdt0(xm,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ spl6_171 ),
inference(resolution,[],[f3109,f210]) ).
fof(f3110,plain,
( spl6_171
| ~ spl6_2
| ~ spl6_3
| ~ spl6_4
| spl6_13
| ~ spl6_122 ),
inference(avatar_split_clause,[],[f3105,f1594,f294,f250,f245,f240,f3107]) ).
fof(f294,plain,
( spl6_13
<=> sdtlseqdt0(xm,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_13])]) ).
fof(f1594,plain,
( spl6_122
<=> sdtlseqdt0(xp,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_122])]) ).
fof(f3105,plain,
( sdtlseqdt0(xp,xm)
| ~ spl6_2
| ~ spl6_3
| ~ spl6_4
| spl6_13
| ~ spl6_122 ),
inference(subsumption_resolution,[],[f3092,f247]) ).
fof(f3092,plain,
( sdtlseqdt0(xp,xm)
| ~ aNaturalNumber0(xm)
| ~ spl6_2
| ~ spl6_4
| spl6_13
| ~ spl6_122 ),
inference(resolution,[],[f2813,f296]) ).
fof(f296,plain,
( ~ sdtlseqdt0(xm,xn)
| spl6_13 ),
inference(avatar_component_clause,[],[f294]) ).
fof(f2813,plain,
( ! [X0] :
( sdtlseqdt0(xp,X0)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(X0) )
| ~ spl6_2
| ~ spl6_4
| ~ spl6_122 ),
inference(subsumption_resolution,[],[f2811,f252]) ).
fof(f2811,plain,
( ! [X0] :
( sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(xp) )
| ~ spl6_2
| ~ spl6_4
| ~ spl6_122 ),
inference(duplicate_literal_removal,[],[f2799]) ).
fof(f2799,plain,
( ! [X0] :
( sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) )
| ~ spl6_2
| ~ spl6_4
| ~ spl6_122 ),
inference(resolution,[],[f2549,f192]) ).
fof(f2549,plain,
( ! [X35] :
( ~ sdtlseqdt0(X35,xp)
| sdtlseqdt0(X35,xn)
| ~ aNaturalNumber0(X35) )
| ~ spl6_2
| ~ spl6_4
| ~ spl6_122 ),
inference(subsumption_resolution,[],[f2548,f252]) ).
fof(f2548,plain,
( ! [X35] :
( sdtlseqdt0(X35,xn)
| ~ sdtlseqdt0(X35,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X35) )
| ~ spl6_2
| ~ spl6_122 ),
inference(subsumption_resolution,[],[f2511,f242]) ).
fof(f2511,plain,
( ! [X35] :
( sdtlseqdt0(X35,xn)
| ~ sdtlseqdt0(X35,xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X35) )
| ~ spl6_122 ),
inference(resolution,[],[f229,f1596]) ).
fof(f1596,plain,
( sdtlseqdt0(xp,xn)
| ~ spl6_122 ),
inference(avatar_component_clause,[],[f1594]) ).
fof(f3052,plain,
( spl6_170
| ~ spl6_4
| ~ spl6_150 ),
inference(avatar_split_clause,[],[f2478,f2436,f250,f3049]) ).
fof(f3049,plain,
( spl6_170
<=> sz00 = sdtasdt0(sdtpldt0(xp,sK3(xp)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_170])]) ).
fof(f2478,plain,
( sz00 = sdtasdt0(sdtpldt0(xp,sK3(xp)),sz00)
| ~ spl6_4
| ~ spl6_150 ),
inference(resolution,[],[f2437,f1192]) ).
fof(f3046,plain,
( spl6_169
| ~ spl6_3
| ~ spl6_150 ),
inference(avatar_split_clause,[],[f2477,f2436,f245,f3043]) ).
fof(f3043,plain,
( spl6_169
<=> sz00 = sdtasdt0(sdtpldt0(xm,sK3(xp)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_169])]) ).
fof(f2477,plain,
( sz00 = sdtasdt0(sdtpldt0(xm,sK3(xp)),sz00)
| ~ spl6_3
| ~ spl6_150 ),
inference(resolution,[],[f2437,f1191]) ).
fof(f3041,plain,
( spl6_168
| ~ spl6_2
| ~ spl6_150 ),
inference(avatar_split_clause,[],[f2476,f2436,f240,f3038]) ).
fof(f3038,plain,
( spl6_168
<=> sz00 = sdtasdt0(sdtpldt0(xn,sK3(xp)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_168])]) ).
fof(f2476,plain,
( sz00 = sdtasdt0(sdtpldt0(xn,sK3(xp)),sz00)
| ~ spl6_2
| ~ spl6_150 ),
inference(resolution,[],[f2437,f1190]) ).
fof(f3036,plain,
( spl6_167
| ~ spl6_6
| ~ spl6_150 ),
inference(avatar_split_clause,[],[f2475,f2436,f260,f3033]) ).
fof(f3033,plain,
( spl6_167
<=> sz00 = sdtasdt0(sdtpldt0(sz10,sK3(xp)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_167])]) ).
fof(f2475,plain,
( sz00 = sdtasdt0(sdtpldt0(sz10,sK3(xp)),sz00)
| ~ spl6_6
| ~ spl6_150 ),
inference(resolution,[],[f2437,f1185]) ).
fof(f3030,plain,
( spl6_166
| ~ spl6_4
| ~ spl6_150 ),
inference(avatar_split_clause,[],[f2473,f2436,f250,f3027]) ).
fof(f3027,plain,
( spl6_166
<=> sz00 = sdtasdt0(sz00,sdtpldt0(xp,sK3(xp))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_166])]) ).
fof(f2473,plain,
( sz00 = sdtasdt0(sz00,sdtpldt0(xp,sK3(xp)))
| ~ spl6_4
| ~ spl6_150 ),
inference(resolution,[],[f2437,f989]) ).
fof(f3025,plain,
( spl6_165
| ~ spl6_3
| ~ spl6_150 ),
inference(avatar_split_clause,[],[f2472,f2436,f245,f3022]) ).
fof(f3022,plain,
( spl6_165
<=> sz00 = sdtasdt0(sz00,sdtpldt0(xm,sK3(xp))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_165])]) ).
fof(f2472,plain,
( sz00 = sdtasdt0(sz00,sdtpldt0(xm,sK3(xp)))
| ~ spl6_3
| ~ spl6_150 ),
inference(resolution,[],[f2437,f988]) ).
fof(f3020,plain,
( spl6_164
| ~ spl6_2
| ~ spl6_150 ),
inference(avatar_split_clause,[],[f2471,f2436,f240,f3017]) ).
fof(f3017,plain,
( spl6_164
<=> sz00 = sdtasdt0(sz00,sdtpldt0(xn,sK3(xp))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_164])]) ).
fof(f2471,plain,
( sz00 = sdtasdt0(sz00,sdtpldt0(xn,sK3(xp)))
| ~ spl6_2
| ~ spl6_150 ),
inference(resolution,[],[f2437,f987]) ).
fof(f3015,plain,
( spl6_163
| ~ spl6_6
| ~ spl6_150 ),
inference(avatar_split_clause,[],[f2470,f2436,f260,f3012]) ).
fof(f3012,plain,
( spl6_163
<=> sz00 = sdtasdt0(sz00,sdtpldt0(sz10,sK3(xp))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_163])]) ).
fof(f2470,plain,
( sz00 = sdtasdt0(sz00,sdtpldt0(sz10,sK3(xp)))
| ~ spl6_6
| ~ spl6_150 ),
inference(resolution,[],[f2437,f982]) ).
fof(f2997,plain,
( spl6_162
| ~ spl6_2
| ~ spl6_5
| ~ spl6_160 ),
inference(avatar_split_clause,[],[f2829,f2819,f255,f240,f2994]) ).
fof(f2994,plain,
( spl6_162
<=> xn = sdtpldt0(sz00,sK5(sz00,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_162])]) ).
fof(f2819,plain,
( spl6_160
<=> sdtlseqdt0(sz00,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_160])]) ).
fof(f2829,plain,
( xn = sdtpldt0(sz00,sK5(sz00,xn))
| ~ spl6_2
| ~ spl6_5
| ~ spl6_160 ),
inference(subsumption_resolution,[],[f2828,f257]) ).
fof(f2828,plain,
( xn = sdtpldt0(sz00,sK5(sz00,xn))
| ~ aNaturalNumber0(sz00)
| ~ spl6_2
| ~ spl6_160 ),
inference(subsumption_resolution,[],[f2824,f242]) ).
fof(f2824,plain,
( xn = sdtpldt0(sz00,sK5(sz00,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz00)
| ~ spl6_160 ),
inference(resolution,[],[f2821,f215]) ).
fof(f2821,plain,
( sdtlseqdt0(sz00,xn)
| ~ spl6_160 ),
inference(avatar_component_clause,[],[f2819]) ).
fof(f2837,plain,
( ~ spl6_161
| ~ spl6_2
| ~ spl6_5
| spl6_7
| ~ spl6_160 ),
inference(avatar_split_clause,[],[f2832,f2819,f265,f255,f240,f2834]) ).
fof(f2834,plain,
( spl6_161
<=> sdtlseqdt0(xn,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_161])]) ).
fof(f2832,plain,
( ~ sdtlseqdt0(xn,sz00)
| ~ spl6_2
| ~ spl6_5
| spl6_7
| ~ spl6_160 ),
inference(subsumption_resolution,[],[f2831,f242]) ).
fof(f2831,plain,
( ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(xn)
| ~ spl6_5
| spl6_7
| ~ spl6_160 ),
inference(subsumption_resolution,[],[f2830,f257]) ).
fof(f2830,plain,
( ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| spl6_7
| ~ spl6_160 ),
inference(subsumption_resolution,[],[f2825,f267]) ).
fof(f2825,plain,
( sz00 = xn
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ spl6_160 ),
inference(resolution,[],[f2821,f210]) ).
fof(f2822,plain,
( spl6_160
| ~ spl6_2
| ~ spl6_4
| ~ spl6_5
| ~ spl6_35
| ~ spl6_122 ),
inference(avatar_split_clause,[],[f2817,f1594,f435,f255,f250,f240,f2819]) ).
fof(f2817,plain,
( sdtlseqdt0(sz00,xn)
| ~ spl6_2
| ~ spl6_4
| ~ spl6_5
| ~ spl6_35
| ~ spl6_122 ),
inference(subsumption_resolution,[],[f2816,f252]) ).
fof(f2816,plain,
( sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(xp)
| ~ spl6_2
| ~ spl6_4
| ~ spl6_5
| ~ spl6_35
| ~ spl6_122 ),
inference(subsumption_resolution,[],[f2808,f257]) ).
fof(f2808,plain,
( sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ spl6_2
| ~ spl6_4
| ~ spl6_5
| ~ spl6_35
| ~ spl6_122 ),
inference(trivial_inequality_removal,[],[f2803]) ).
fof(f2803,plain,
( sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(sz00)
| xp != xp
| ~ aNaturalNumber0(xp)
| ~ spl6_2
| ~ spl6_4
| ~ spl6_5
| ~ spl6_35
| ~ spl6_122 ),
inference(resolution,[],[f2549,f2208]) ).
fof(f2784,plain,
( spl6_159
| ~ spl6_2
| ~ spl6_6
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f2423,f2411,f260,f240,f2781]) ).
fof(f2781,plain,
( spl6_159
<=> xn = sdtasdt0(sz10,sK4(sz10,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_159])]) ).
fof(f2423,plain,
( xn = sdtasdt0(sz10,sK4(sz10,xn))
| ~ spl6_2
| ~ spl6_6
| ~ spl6_147 ),
inference(subsumption_resolution,[],[f2422,f262]) ).
fof(f2422,plain,
( xn = sdtasdt0(sz10,sK4(sz10,xn))
| ~ aNaturalNumber0(sz10)
| ~ spl6_2
| ~ spl6_147 ),
inference(subsumption_resolution,[],[f2417,f242]) ).
fof(f2417,plain,
( xn = sdtasdt0(sz10,sK4(sz10,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz10)
| ~ spl6_147 ),
inference(resolution,[],[f2413,f212]) ).
fof(f2603,plain,
( spl6_158
| ~ spl6_150 ),
inference(avatar_split_clause,[],[f2454,f2436,f2600]) ).
fof(f2454,plain,
( sK3(xp) = sdtasdt0(sz10,sK3(xp))
| ~ spl6_150 ),
inference(resolution,[],[f2437,f169]) ).
fof(f2598,plain,
( spl6_157
| ~ spl6_150 ),
inference(avatar_split_clause,[],[f2453,f2436,f2595]) ).
fof(f2453,plain,
( sK3(xp) = sdtasdt0(sK3(xp),sz10)
| ~ spl6_150 ),
inference(resolution,[],[f2437,f168]) ).
fof(f2593,plain,
( spl6_156
| ~ spl6_150 ),
inference(avatar_split_clause,[],[f2452,f2436,f2590]) ).
fof(f2452,plain,
( sK3(xp) = sdtpldt0(sz00,sK3(xp))
| ~ spl6_150 ),
inference(resolution,[],[f2437,f167]) ).
fof(f2588,plain,
( spl6_155
| ~ spl6_150 ),
inference(avatar_split_clause,[],[f2451,f2436,f2585]) ).
fof(f2451,plain,
( sK3(xp) = sdtpldt0(sK3(xp),sz00)
| ~ spl6_150 ),
inference(resolution,[],[f2437,f166]) ).
fof(f2573,plain,
( spl6_154
| ~ spl6_150 ),
inference(avatar_split_clause,[],[f2450,f2436,f2570]) ).
fof(f2570,plain,
( spl6_154
<=> sz00 = sdtasdt0(sz00,sK3(xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_154])]) ).
fof(f2450,plain,
( sz00 = sdtasdt0(sz00,sK3(xp))
| ~ spl6_150 ),
inference(resolution,[],[f2437,f165]) ).
fof(f2568,plain,
( spl6_153
| ~ spl6_150 ),
inference(avatar_split_clause,[],[f2449,f2436,f2565]) ).
fof(f2565,plain,
( spl6_153
<=> sz00 = sdtasdt0(sK3(xp),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_153])]) ).
fof(f2449,plain,
( sz00 = sdtasdt0(sK3(xp),sz00)
| ~ spl6_150 ),
inference(resolution,[],[f2437,f164]) ).
fof(f2554,plain,
( spl6_152
| ~ spl6_2
| spl6_7
| ~ spl6_150
| ~ spl6_151 ),
inference(avatar_split_clause,[],[f2489,f2440,f2436,f265,f240,f2551]) ).
fof(f2489,plain,
( sdtlseqdt0(sK3(xp),xn)
| ~ spl6_2
| spl6_7
| ~ spl6_150
| ~ spl6_151 ),
inference(subsumption_resolution,[],[f2488,f2437]) ).
fof(f2488,plain,
( sdtlseqdt0(sK3(xp),xn)
| ~ aNaturalNumber0(sK3(xp))
| ~ spl6_2
| spl6_7
| ~ spl6_151 ),
inference(subsumption_resolution,[],[f2487,f242]) ).
fof(f2487,plain,
( sdtlseqdt0(sK3(xp),xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK3(xp))
| spl6_7
| ~ spl6_151 ),
inference(subsumption_resolution,[],[f2481,f267]) ).
fof(f2481,plain,
( sz00 = xn
| sdtlseqdt0(sK3(xp),xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK3(xp))
| ~ spl6_151 ),
inference(resolution,[],[f2442,f209]) ).
fof(f2448,plain,
( ~ spl6_4
| spl6_9
| spl6_116
| spl6_150 ),
inference(avatar_contradiction_clause,[],[f2447]) ).
fof(f2447,plain,
( $false
| ~ spl6_4
| spl6_9
| spl6_116
| spl6_150 ),
inference(subsumption_resolution,[],[f2446,f252]) ).
fof(f2446,plain,
( ~ aNaturalNumber0(xp)
| spl6_9
| spl6_116
| spl6_150 ),
inference(subsumption_resolution,[],[f2445,f277]) ).
fof(f2445,plain,
( sz00 = xp
| ~ aNaturalNumber0(xp)
| spl6_116
| spl6_150 ),
inference(subsumption_resolution,[],[f2444,f1493]) ).
fof(f2444,plain,
( sz10 = xp
| sz00 = xp
| ~ aNaturalNumber0(xp)
| spl6_150 ),
inference(resolution,[],[f2438,f184]) ).
fof(f2438,plain,
( ~ aNaturalNumber0(sK3(xp))
| spl6_150 ),
inference(avatar_component_clause,[],[f2436]) ).
fof(f2443,plain,
( ~ spl6_150
| spl6_151
| ~ spl6_2
| ~ spl6_4
| spl6_9
| ~ spl6_10
| spl6_116 ),
inference(avatar_split_clause,[],[f2409,f1492,f280,f275,f250,f240,f2440,f2436]) ).
fof(f2409,plain,
( doDivides0(sK3(xp),xn)
| ~ aNaturalNumber0(sK3(xp))
| ~ spl6_2
| ~ spl6_4
| spl6_9
| ~ spl6_10
| spl6_116 ),
inference(subsumption_resolution,[],[f2408,f252]) ).
fof(f2408,plain,
( doDivides0(sK3(xp),xn)
| ~ aNaturalNumber0(sK3(xp))
| ~ aNaturalNumber0(xp)
| ~ spl6_2
| ~ spl6_4
| spl6_9
| ~ spl6_10
| spl6_116 ),
inference(subsumption_resolution,[],[f2407,f277]) ).
fof(f2407,plain,
( doDivides0(sK3(xp),xn)
| ~ aNaturalNumber0(sK3(xp))
| sz00 = xp
| ~ aNaturalNumber0(xp)
| ~ spl6_2
| ~ spl6_4
| ~ spl6_10
| spl6_116 ),
inference(subsumption_resolution,[],[f2393,f1493]) ).
fof(f2393,plain,
( doDivides0(sK3(xp),xn)
| ~ aNaturalNumber0(sK3(xp))
| sz10 = xp
| sz00 = xp
| ~ aNaturalNumber0(xp)
| ~ spl6_2
| ~ spl6_4
| ~ spl6_10 ),
inference(resolution,[],[f2373,f185]) ).
fof(f2373,plain,
( ! [X20] :
( ~ doDivides0(X20,xp)
| doDivides0(X20,xn)
| ~ aNaturalNumber0(X20) )
| ~ spl6_2
| ~ spl6_4
| ~ spl6_10 ),
inference(subsumption_resolution,[],[f2372,f252]) ).
fof(f2372,plain,
( ! [X20] :
( doDivides0(X20,xn)
| ~ doDivides0(X20,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X20) )
| ~ spl6_2
| ~ spl6_10 ),
inference(subsumption_resolution,[],[f2343,f242]) ).
fof(f2343,plain,
( ! [X20] :
( doDivides0(X20,xn)
| ~ doDivides0(X20,xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X20) )
| ~ spl6_10 ),
inference(resolution,[],[f226,f282]) ).
fof(f2432,plain,
( ~ spl6_148
| spl6_149
| ~ spl6_2
| ~ spl6_3
| ~ spl6_4
| ~ spl6_6
| ~ spl6_10
| ~ spl6_39 ),
inference(avatar_split_clause,[],[f2404,f460,f280,f260,f250,f245,f240,f2429,f2425]) ).
fof(f2404,plain,
( doDivides0(xm,xn)
| xm != xp
| ~ spl6_2
| ~ spl6_3
| ~ spl6_4
| ~ spl6_6
| ~ spl6_10
| ~ spl6_39 ),
inference(subsumption_resolution,[],[f2403,f252]) ).
fof(f2403,plain,
( doDivides0(xm,xn)
| xm != xp
| ~ aNaturalNumber0(xp)
| ~ spl6_2
| ~ spl6_3
| ~ spl6_4
| ~ spl6_6
| ~ spl6_10
| ~ spl6_39 ),
inference(subsumption_resolution,[],[f2388,f247]) ).
fof(f2388,plain,
( doDivides0(xm,xn)
| ~ aNaturalNumber0(xm)
| xm != xp
| ~ aNaturalNumber0(xp)
| ~ spl6_2
| ~ spl6_3
| ~ spl6_4
| ~ spl6_6
| ~ spl6_10
| ~ spl6_39 ),
inference(resolution,[],[f2373,f1926]) ).
fof(f2415,plain,
( spl6_147
| ~ spl6_2
| ~ spl6_3
| ~ spl6_4
| ~ spl6_6
| ~ spl6_10
| ~ spl6_43
| ~ spl6_44 ),
inference(avatar_split_clause,[],[f2402,f506,f501,f280,f260,f250,f245,f240,f2411]) ).
fof(f2402,plain,
( doDivides0(sz10,xn)
| ~ spl6_2
| ~ spl6_3
| ~ spl6_4
| ~ spl6_6
| ~ spl6_10
| ~ spl6_43
| ~ spl6_44 ),
inference(global_subsumption,[],[f2401,f159,f173,f172,f196,f195,f204,f203,f202,f201,f205,f208,f207,f206,f217,f218,f220,f219,f221,f225,f224,f232,f223,f222,f233,f227,f228,f229,f231,f230,f146,f150,f151,f152,f242,f252,f160,f161,f262,f153,f154,f155,f157,f282,f162,f183,f145,f147,f156,f163,f176,f308,f177,f314,f174,f175,f320,f321,f164,f340,f342,f165,f360,f362,f339,f166,f390,f392,f359,f167,f421,f423,f389,f420,f168,f451,f453,f450,f169,f187,f479,f480,f481,f482,f476,f478,f508,f188,f510,f511,f512,f513,f514,f515,f148,f149,f158,f191,f192,f171,f179,f712,f713,f714,f715,f716,f717,f184,f718,f719,f720,f721,f722,f723,f186,f189,f726,f727,f733,f734,f730,f737,f738,f744,f745,f736,f743,f190,f790,f791,f797,f798,f732,f802,f803,f809,f810,f801,f794,f820,f821,f827,f828,f826,f211,f861,f862,f863,f864,f865,f866,f867,f868,f869,f871,f872,f796,f877,f878,f884,f885,f886,f725,f910,f911,f917,f918,f919,f789,f941,f942,f948,f949,f950,f214,f963,f964,f965,f966,f967,f968,f969,f970,f972,f973,f975,f977,f978,f980,f483,f983,f984,f990,f991,f992,f993,f987,f996,f997,f1003,f1004,f1005,f1006,f180,f1000,f1002,f181,f989,f1069,f1070,f1076,f1077,f1078,f1079,f1075,f982,f1118,f1119,f1125,f1126,f1127,f1128,f182,f1117,f185,f484,f1186,f1187,f1193,f1194,f1195,f1196,f1190,f1199,f1200,f1206,f1207,f1208,f1209,f1203,f193,f197,f198,f1205,f178,f1461,f1457,f200,f1192,f1505,f1506,f1512,f1513,f1514,f1515,f1511,f1185,f1556,f1557,f1563,f1564,f1565,f1566,f1555,f209,f1591,f1592,f210,f1659,f1660,f194,f1734,f212,f1790,f1791,f1787,f213,f2005,f215,f2086,f2085,f2084,f2083,f2087,f2088,f2000,f2156,f2157,f216,f2214,f199,f226,f2365,f2378,f2379,f2373,f2399]) ).
fof(f2399,plain,
( doDivides0(sz10,xn)
| ~ spl6_2
| ~ spl6_4
| ~ spl6_6
| ~ spl6_10
| ~ spl6_44 ),
inference(subsumption_resolution,[],[f2398,f252]) ).
fof(f2398,plain,
( doDivides0(sz10,xn)
| ~ aNaturalNumber0(xp)
| ~ spl6_2
| ~ spl6_4
| ~ spl6_6
| ~ spl6_10
| ~ spl6_44 ),
inference(subsumption_resolution,[],[f2397,f262]) ).
fof(f2397,plain,
( doDivides0(sz10,xn)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ spl6_2
| ~ spl6_4
| ~ spl6_6
| ~ spl6_10
| ~ spl6_44 ),
inference(trivial_inequality_removal,[],[f2383]) ).
fof(f2383,plain,
( doDivides0(sz10,xn)
| ~ aNaturalNumber0(sz10)
| xp != xp
| ~ aNaturalNumber0(xp)
| ~ spl6_2
| ~ spl6_4
| ~ spl6_6
| ~ spl6_10
| ~ spl6_44 ),
inference(resolution,[],[f2373,f2000]) ).
fof(f2365,plain,
( ! [X6,X7] :
( doDivides0(X6,X7)
| ~ doDivides0(X6,sz10)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X6)
| xp != X7 )
| ~ spl6_4
| ~ spl6_6
| ~ spl6_44 ),
inference(subsumption_resolution,[],[f2358,f262]) ).
fof(f2358,plain,
( ! [X6,X7] :
( doDivides0(X6,X7)
| ~ doDivides0(X6,sz10)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X6)
| xp != X7 )
| ~ spl6_4
| ~ spl6_6
| ~ spl6_44 ),
inference(duplicate_literal_removal,[],[f2336]) ).
fof(f2336,plain,
( ! [X6,X7] :
( doDivides0(X6,X7)
| ~ doDivides0(X6,sz10)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X6)
| xp != X7
| ~ aNaturalNumber0(X7) )
| ~ spl6_4
| ~ spl6_6
| ~ spl6_44 ),
inference(resolution,[],[f226,f2000]) ).
fof(f2157,plain,
( ! [X1] :
( xp != X1
| ~ aNaturalNumber0(X1)
| sz00 = X1
| sdtlseqdt0(sz10,X1) )
| ~ spl6_4
| ~ spl6_6
| ~ spl6_44 ),
inference(subsumption_resolution,[],[f2154,f262]) ).
fof(f2154,plain,
( ! [X1] :
( xp != X1
| ~ aNaturalNumber0(X1)
| sz00 = X1
| sdtlseqdt0(sz10,X1)
| ~ aNaturalNumber0(sz10) )
| ~ spl6_4
| ~ spl6_6
| ~ spl6_44 ),
inference(duplicate_literal_removal,[],[f2152]) ).
fof(f2152,plain,
( ! [X1] :
( xp != X1
| ~ aNaturalNumber0(X1)
| sz00 = X1
| sdtlseqdt0(sz10,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sz10) )
| ~ spl6_4
| ~ spl6_6
| ~ spl6_44 ),
inference(resolution,[],[f2000,f209]) ).
fof(f2156,plain,
( ! [X0] :
( xp != X0
| ~ aNaturalNumber0(X0)
| sdtasdt0(sz10,sK4(sz10,X0)) = X0 )
| ~ spl6_4
| ~ spl6_6
| ~ spl6_44 ),
inference(subsumption_resolution,[],[f2155,f262]) ).
fof(f2155,plain,
( ! [X0] :
( xp != X0
| ~ aNaturalNumber0(X0)
| sdtasdt0(sz10,sK4(sz10,X0)) = X0
| ~ aNaturalNumber0(sz10) )
| ~ spl6_4
| ~ spl6_6
| ~ spl6_44 ),
inference(duplicate_literal_removal,[],[f2151]) ).
fof(f2151,plain,
( ! [X0] :
( xp != X0
| ~ aNaturalNumber0(X0)
| sdtasdt0(sz10,sK4(sz10,X0)) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10) )
| ~ spl6_4
| ~ spl6_6
| ~ spl6_44 ),
inference(resolution,[],[f2000,f212]) ).
fof(f2000,plain,
( ! [X63] :
( doDivides0(sz10,X63)
| xp != X63
| ~ aNaturalNumber0(X63) )
| ~ spl6_4
| ~ spl6_6
| ~ spl6_44 ),
inference(subsumption_resolution,[],[f1999,f262]) ).
fof(f1999,plain,
( ! [X63] :
( xp != X63
| doDivides0(sz10,X63)
| ~ aNaturalNumber0(X63)
| ~ aNaturalNumber0(sz10) )
| ~ spl6_4
| ~ spl6_44 ),
inference(subsumption_resolution,[],[f1876,f252]) ).
fof(f1876,plain,
( ! [X63] :
( xp != X63
| doDivides0(sz10,X63)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X63)
| ~ aNaturalNumber0(sz10) )
| ~ spl6_44 ),
inference(superposition,[],[f213,f508]) ).
fof(f2088,plain,
( ! [X9] :
( sdtpldt0(sz10,sK5(sz10,X9)) = X9
| ~ aNaturalNumber0(X9)
| sz10 = X9
| sz00 = X9 )
| ~ spl6_6 ),
inference(subsumption_resolution,[],[f2081,f262]) ).
fof(f2081,plain,
! [X9] :
( sdtpldt0(sz10,sK5(sz10,X9)) = X9
| ~ aNaturalNumber0(X9)
| ~ aNaturalNumber0(sz10)
| sz10 = X9
| sz00 = X9 ),
inference(duplicate_literal_removal,[],[f2067]) ).
fof(f2067,plain,
! [X9] :
( sdtpldt0(sz10,sK5(sz10,X9)) = X9
| ~ aNaturalNumber0(X9)
| ~ aNaturalNumber0(sz10)
| sz10 = X9
| sz00 = X9
| ~ aNaturalNumber0(X9) ),
inference(resolution,[],[f215,f171]) ).
fof(f1787,plain,
( xn = sdtasdt0(xp,sK4(xp,xn))
| ~ spl6_2
| ~ spl6_4
| ~ spl6_10 ),
inference(subsumption_resolution,[],[f1786,f252]) ).
fof(f1786,plain,
( xn = sdtasdt0(xp,sK4(xp,xn))
| ~ aNaturalNumber0(xp)
| ~ spl6_2
| ~ spl6_10 ),
inference(subsumption_resolution,[],[f1781,f242]) ).
fof(f1781,plain,
( xn = sdtasdt0(xp,sK4(xp,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xp)
| ~ spl6_10 ),
inference(resolution,[],[f212,f282]) ).
fof(f1660,plain,
( ! [X9] :
( ~ sdtlseqdt0(X9,sz10)
| sz10 = X9
| ~ aNaturalNumber0(X9)
| sz00 = X9 )
| ~ spl6_6 ),
inference(subsumption_resolution,[],[f1653,f262]) ).
fof(f1653,plain,
! [X9] :
( sz10 = X9
| ~ sdtlseqdt0(X9,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X9)
| sz00 = X9 ),
inference(duplicate_literal_removal,[],[f1642]) ).
fof(f1642,plain,
! [X9] :
( sz10 = X9
| ~ sdtlseqdt0(X9,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X9)
| sz10 = X9
| sz00 = X9
| ~ aNaturalNumber0(X9) ),
inference(resolution,[],[f210,f171]) ).
fof(f1555,plain,
( sz00 = sdtasdt0(sdtpldt0(sz10,sz10),sz00)
| ~ spl6_6 ),
inference(resolution,[],[f1185,f262]) ).
fof(f1566,plain,
( ! [X8,X9] :
( sz00 = sdtasdt0(sdtpldt0(sz10,sK5(X8,X9)),sz00)
| ~ sdtlseqdt0(X8,X9)
| ~ aNaturalNumber0(X9)
| ~ aNaturalNumber0(X8) )
| ~ spl6_6 ),
inference(resolution,[],[f1185,f214]) ).
fof(f1565,plain,
( ! [X6,X7] :
( sz00 = sdtasdt0(sdtpldt0(sz10,sK4(X6,X7)),sz00)
| ~ doDivides0(X6,X7)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X6) )
| ~ spl6_6 ),
inference(resolution,[],[f1185,f211]) ).
fof(f1564,plain,
( ! [X5] :
( sz00 = sdtasdt0(sdtpldt0(sz10,sK3(X5)),sz00)
| sz10 = X5
| sz00 = X5
| ~ aNaturalNumber0(X5) )
| ~ spl6_6 ),
inference(resolution,[],[f1185,f184]) ).
fof(f1563,plain,
( ! [X4] :
( sz00 = sdtasdt0(sdtpldt0(sz10,sK2(X4)),sz00)
| sP0(X4)
| sz10 = X4
| sz00 = X4 )
| ~ spl6_6 ),
inference(resolution,[],[f1185,f179]) ).
fof(f1557,plain,
( ! [X2,X3] :
( sz00 = sdtasdt0(sdtpldt0(sz10,sdtasdt0(X2,X3)),sz00)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) )
| ~ spl6_6 ),
inference(resolution,[],[f1185,f188]) ).
fof(f1556,plain,
( ! [X0,X1] :
( sz00 = sdtasdt0(sdtpldt0(sz10,sdtpldt0(X0,X1)),sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_6 ),
inference(resolution,[],[f1185,f187]) ).
fof(f1457,plain,
( sz10 = xp
| xn = xp
| ~ sP0(xn)
| ~ spl6_4
| ~ spl6_10 ),
inference(subsumption_resolution,[],[f1453,f252]) ).
fof(f1453,plain,
( sz10 = xp
| xn = xp
| ~ aNaturalNumber0(xp)
| ~ sP0(xn)
| ~ spl6_10 ),
inference(resolution,[],[f178,f282]) ).
fof(f1205,plain,
( sz00 = sdtasdt0(sdtpldt0(xn,xp),sz00)
| ~ spl6_2
| ~ spl6_4 ),
inference(resolution,[],[f1190,f252]) ).
fof(f1203,plain,
( sz00 = sdtasdt0(sdtpldt0(xn,xn),sz00)
| ~ spl6_2 ),
inference(resolution,[],[f1190,f242]) ).
fof(f1209,plain,
( ! [X8,X9] :
( sz00 = sdtasdt0(sdtpldt0(xn,sK5(X8,X9)),sz00)
| ~ sdtlseqdt0(X8,X9)
| ~ aNaturalNumber0(X9)
| ~ aNaturalNumber0(X8) )
| ~ spl6_2 ),
inference(resolution,[],[f1190,f214]) ).
fof(f1208,plain,
( ! [X6,X7] :
( sz00 = sdtasdt0(sdtpldt0(xn,sK4(X6,X7)),sz00)
| ~ doDivides0(X6,X7)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X6) )
| ~ spl6_2 ),
inference(resolution,[],[f1190,f211]) ).
fof(f1207,plain,
( ! [X5] :
( sz00 = sdtasdt0(sdtpldt0(xn,sK3(X5)),sz00)
| sz10 = X5
| sz00 = X5
| ~ aNaturalNumber0(X5) )
| ~ spl6_2 ),
inference(resolution,[],[f1190,f184]) ).
fof(f1206,plain,
( ! [X4] :
( sz00 = sdtasdt0(sdtpldt0(xn,sK2(X4)),sz00)
| sP0(X4)
| sz10 = X4
| sz00 = X4 )
| ~ spl6_2 ),
inference(resolution,[],[f1190,f179]) ).
fof(f1200,plain,
( ! [X2,X3] :
( sz00 = sdtasdt0(sdtpldt0(xn,sdtasdt0(X2,X3)),sz00)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) )
| ~ spl6_2 ),
inference(resolution,[],[f1190,f188]) ).
fof(f1199,plain,
( ! [X0,X1] :
( sz00 = sdtasdt0(sdtpldt0(xn,sdtpldt0(X0,X1)),sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_2 ),
inference(resolution,[],[f1190,f187]) ).
fof(f1117,plain,
( sz00 = sdtasdt0(sz00,sdtpldt0(sz10,sz10))
| ~ spl6_6 ),
inference(resolution,[],[f982,f262]) ).
fof(f1128,plain,
( ! [X8,X9] :
( sz00 = sdtasdt0(sz00,sdtpldt0(sz10,sK5(X8,X9)))
| ~ sdtlseqdt0(X8,X9)
| ~ aNaturalNumber0(X9)
| ~ aNaturalNumber0(X8) )
| ~ spl6_6 ),
inference(resolution,[],[f982,f214]) ).
fof(f1127,plain,
( ! [X6,X7] :
( sz00 = sdtasdt0(sz00,sdtpldt0(sz10,sK4(X6,X7)))
| ~ doDivides0(X6,X7)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X6) )
| ~ spl6_6 ),
inference(resolution,[],[f982,f211]) ).
fof(f1126,plain,
( ! [X5] :
( sz00 = sdtasdt0(sz00,sdtpldt0(sz10,sK3(X5)))
| sz10 = X5
| sz00 = X5
| ~ aNaturalNumber0(X5) )
| ~ spl6_6 ),
inference(resolution,[],[f982,f184]) ).
fof(f1125,plain,
( ! [X4] :
( sz00 = sdtasdt0(sz00,sdtpldt0(sz10,sK2(X4)))
| sP0(X4)
| sz10 = X4
| sz00 = X4 )
| ~ spl6_6 ),
inference(resolution,[],[f982,f179]) ).
fof(f1119,plain,
( ! [X2,X3] :
( sz00 = sdtasdt0(sz00,sdtpldt0(sz10,sdtasdt0(X2,X3)))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) )
| ~ spl6_6 ),
inference(resolution,[],[f982,f188]) ).
fof(f1118,plain,
( ! [X0,X1] :
( sz00 = sdtasdt0(sz00,sdtpldt0(sz10,sdtpldt0(X0,X1)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_6 ),
inference(resolution,[],[f982,f187]) ).
fof(f1002,plain,
( sz00 = sdtasdt0(sz00,sdtpldt0(xn,xp))
| ~ spl6_2
| ~ spl6_4 ),
inference(resolution,[],[f987,f252]) ).
fof(f1000,plain,
( sz00 = sdtasdt0(sz00,sdtpldt0(xn,xn))
| ~ spl6_2 ),
inference(resolution,[],[f987,f242]) ).
fof(f1006,plain,
( ! [X8,X9] :
( sz00 = sdtasdt0(sz00,sdtpldt0(xn,sK5(X8,X9)))
| ~ sdtlseqdt0(X8,X9)
| ~ aNaturalNumber0(X9)
| ~ aNaturalNumber0(X8) )
| ~ spl6_2 ),
inference(resolution,[],[f987,f214]) ).
fof(f1005,plain,
( ! [X6,X7] :
( sz00 = sdtasdt0(sz00,sdtpldt0(xn,sK4(X6,X7)))
| ~ doDivides0(X6,X7)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X6) )
| ~ spl6_2 ),
inference(resolution,[],[f987,f211]) ).
fof(f1004,plain,
( ! [X5] :
( sz00 = sdtasdt0(sz00,sdtpldt0(xn,sK3(X5)))
| sz10 = X5
| sz00 = X5
| ~ aNaturalNumber0(X5) )
| ~ spl6_2 ),
inference(resolution,[],[f987,f184]) ).
fof(f1003,plain,
( ! [X4] :
( sz00 = sdtasdt0(sz00,sdtpldt0(xn,sK2(X4)))
| sP0(X4)
| sz10 = X4
| sz00 = X4 )
| ~ spl6_2 ),
inference(resolution,[],[f987,f179]) ).
fof(f997,plain,
( ! [X2,X3] :
( sz00 = sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(X2,X3)))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) )
| ~ spl6_2 ),
inference(resolution,[],[f987,f188]) ).
fof(f996,plain,
( ! [X0,X1] :
( sz00 = sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(X0,X1)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_2 ),
inference(resolution,[],[f987,f187]) ).
fof(f978,plain,
( ! [X32,X33] :
( ~ sdtlseqdt0(X32,X33)
| ~ aNaturalNumber0(X33)
| ~ aNaturalNumber0(X32)
| sdtasdt0(sK5(X32,X33),xn) = sdtasdt0(xn,sK5(X32,X33)) )
| ~ spl6_2 ),
inference(resolution,[],[f214,f794]) ).
fof(f977,plain,
( ! [X31,X30] :
( ~ sdtlseqdt0(X30,X31)
| ~ aNaturalNumber0(X31)
| ~ aNaturalNumber0(X30)
| sdtasdt0(sK5(X30,X31),sz10) = sdtasdt0(sz10,sK5(X30,X31)) )
| ~ spl6_6 ),
inference(resolution,[],[f214,f789]) ).
fof(f973,plain,
( ! [X22,X23] :
( ~ sdtlseqdt0(X22,X23)
| ~ aNaturalNumber0(X23)
| ~ aNaturalNumber0(X22)
| sdtpldt0(sK5(X22,X23),xn) = sdtpldt0(xn,sK5(X22,X23)) )
| ~ spl6_2 ),
inference(resolution,[],[f214,f730]) ).
fof(f972,plain,
( ! [X21,X20] :
( ~ sdtlseqdt0(X20,X21)
| ~ aNaturalNumber0(X21)
| ~ aNaturalNumber0(X20)
| sdtpldt0(sK5(X20,X21),sz10) = sdtpldt0(sz10,sK5(X20,X21)) )
| ~ spl6_6 ),
inference(resolution,[],[f214,f725]) ).
fof(f950,plain,
( ! [X6,X7] :
( sdtasdt0(sK4(X6,X7),sz10) = sdtasdt0(sz10,sK4(X6,X7))
| ~ doDivides0(X6,X7)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X6) )
| ~ spl6_6 ),
inference(resolution,[],[f789,f211]) ).
fof(f949,plain,
( ! [X5] :
( sdtasdt0(sK3(X5),sz10) = sdtasdt0(sz10,sK3(X5))
| sz10 = X5
| sz00 = X5
| ~ aNaturalNumber0(X5) )
| ~ spl6_6 ),
inference(resolution,[],[f789,f184]) ).
fof(f948,plain,
( ! [X4] :
( sdtasdt0(sK2(X4),sz10) = sdtasdt0(sz10,sK2(X4))
| sP0(X4)
| sz10 = X4
| sz00 = X4 )
| ~ spl6_6 ),
inference(resolution,[],[f789,f179]) ).
fof(f942,plain,
( ! [X2,X3] :
( sdtasdt0(sdtasdt0(X2,X3),sz10) = sdtasdt0(sz10,sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) )
| ~ spl6_6 ),
inference(resolution,[],[f789,f188]) ).
fof(f941,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sz10) = sdtasdt0(sz10,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_6 ),
inference(resolution,[],[f789,f187]) ).
fof(f789,plain,
( ! [X1] :
( ~ aNaturalNumber0(X1)
| sdtasdt0(X1,sz10) = sdtasdt0(sz10,X1) )
| ~ spl6_6 ),
inference(resolution,[],[f190,f262]) ).
fof(f919,plain,
( ! [X6,X7] :
( sdtpldt0(sK4(X6,X7),sz10) = sdtpldt0(sz10,sK4(X6,X7))
| ~ doDivides0(X6,X7)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X6) )
| ~ spl6_6 ),
inference(resolution,[],[f725,f211]) ).
fof(f918,plain,
( ! [X5] :
( sdtpldt0(sK3(X5),sz10) = sdtpldt0(sz10,sK3(X5))
| sz10 = X5
| sz00 = X5
| ~ aNaturalNumber0(X5) )
| ~ spl6_6 ),
inference(resolution,[],[f725,f184]) ).
fof(f917,plain,
( ! [X4] :
( sdtpldt0(sK2(X4),sz10) = sdtpldt0(sz10,sK2(X4))
| sP0(X4)
| sz10 = X4
| sz00 = X4 )
| ~ spl6_6 ),
inference(resolution,[],[f725,f179]) ).
fof(f911,plain,
( ! [X2,X3] :
( sdtpldt0(sdtasdt0(X2,X3),sz10) = sdtpldt0(sz10,sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) )
| ~ spl6_6 ),
inference(resolution,[],[f725,f188]) ).
fof(f910,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sz10) = sdtpldt0(sz10,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_6 ),
inference(resolution,[],[f725,f187]) ).
fof(f872,plain,
( ! [X24,X25] :
( ~ doDivides0(X24,X25)
| ~ aNaturalNumber0(X25)
| ~ aNaturalNumber0(X24)
| sdtasdt0(sK4(X24,X25),xn) = sdtasdt0(xn,sK4(X24,X25)) )
| ~ spl6_2 ),
inference(resolution,[],[f211,f794]) ).
fof(f869,plain,
( ! [X18,X19] :
( ~ doDivides0(X18,X19)
| ~ aNaturalNumber0(X19)
| ~ aNaturalNumber0(X18)
| sdtpldt0(sK4(X18,X19),xn) = sdtpldt0(xn,sK4(X18,X19)) )
| ~ spl6_2 ),
inference(resolution,[],[f211,f730]) ).
fof(f826,plain,
( sdtasdt0(xp,xn) = sdtasdt0(xn,xp)
| ~ spl6_2
| ~ spl6_4 ),
inference(resolution,[],[f794,f252]) ).
fof(f828,plain,
( ! [X5] :
( sdtasdt0(sK3(X5),xn) = sdtasdt0(xn,sK3(X5))
| sz10 = X5
| sz00 = X5
| ~ aNaturalNumber0(X5) )
| ~ spl6_2 ),
inference(resolution,[],[f794,f184]) ).
fof(f827,plain,
( ! [X4] :
( sdtasdt0(sK2(X4),xn) = sdtasdt0(xn,sK2(X4))
| sP0(X4)
| sz10 = X4
| sz00 = X4 )
| ~ spl6_2 ),
inference(resolution,[],[f794,f179]) ).
fof(f821,plain,
( ! [X2,X3] :
( sdtasdt0(sdtasdt0(X2,X3),xn) = sdtasdt0(xn,sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) )
| ~ spl6_2 ),
inference(resolution,[],[f794,f188]) ).
fof(f820,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xn) = sdtasdt0(xn,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_2 ),
inference(resolution,[],[f794,f187]) ).
fof(f801,plain,
( sdtpldt0(sz10,xp) = sdtpldt0(xp,sz10)
| ~ spl6_4
| ~ spl6_6 ),
inference(resolution,[],[f732,f262]) ).
fof(f743,plain,
( sdtpldt0(xp,xn) = sdtpldt0(xn,xp)
| ~ spl6_2
| ~ spl6_4 ),
inference(resolution,[],[f730,f252]) ).
fof(f736,plain,
( sdtpldt0(sz10,xn) = sdtpldt0(xn,sz10)
| ~ spl6_2
| ~ spl6_6 ),
inference(resolution,[],[f730,f262]) ).
fof(f745,plain,
( ! [X5] :
( sdtpldt0(sK3(X5),xn) = sdtpldt0(xn,sK3(X5))
| sz10 = X5
| sz00 = X5
| ~ aNaturalNumber0(X5) )
| ~ spl6_2 ),
inference(resolution,[],[f730,f184]) ).
fof(f744,plain,
( ! [X4] :
( sdtpldt0(sK2(X4),xn) = sdtpldt0(xn,sK2(X4))
| sP0(X4)
| sz10 = X4
| sz00 = X4 )
| ~ spl6_2 ),
inference(resolution,[],[f730,f179]) ).
fof(f738,plain,
( ! [X2,X3] :
( sdtpldt0(sdtasdt0(X2,X3),xn) = sdtpldt0(xn,sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) )
| ~ spl6_2 ),
inference(resolution,[],[f730,f188]) ).
fof(f737,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xn) = sdtpldt0(xn,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_2 ),
inference(resolution,[],[f730,f187]) ).
fof(f476,plain,
( xn = sdtasdt0(sz10,xn)
| ~ spl6_2 ),
inference(resolution,[],[f169,f242]) ).
fof(f450,plain,
( sz10 = sdtasdt0(sz10,sz10)
| ~ spl6_6 ),
inference(resolution,[],[f168,f262]) ).
fof(f451,plain,
( xn = sdtasdt0(xn,sz10)
| ~ spl6_2 ),
inference(resolution,[],[f168,f242]) ).
fof(f420,plain,
( sz10 = sdtpldt0(sz00,sz10)
| ~ spl6_6 ),
inference(resolution,[],[f167,f262]) ).
fof(f389,plain,
( sz10 = sdtpldt0(sz10,sz00)
| ~ spl6_6 ),
inference(resolution,[],[f166,f262]) ).
fof(f421,plain,
( xn = sdtpldt0(sz00,xn)
| ~ spl6_2 ),
inference(resolution,[],[f167,f242]) ).
fof(f359,plain,
( sz00 = sdtasdt0(sz00,sz10)
| ~ spl6_6 ),
inference(resolution,[],[f165,f262]) ).
fof(f390,plain,
( xn = sdtpldt0(xn,sz00)
| ~ spl6_2 ),
inference(resolution,[],[f166,f242]) ).
fof(f339,plain,
( sz00 = sdtasdt0(sz10,sz00)
| ~ spl6_6 ),
inference(resolution,[],[f164,f262]) ).
fof(f360,plain,
( sz00 = sdtasdt0(sz00,xn)
| ~ spl6_2 ),
inference(resolution,[],[f165,f242]) ).
fof(f340,plain,
( sz00 = sdtasdt0(xn,sz00)
| ~ spl6_2 ),
inference(resolution,[],[f164,f242]) ).
fof(f2401,plain,
( doDivides0(sz10,xn)
| xm != xp
| ~ spl6_2
| ~ spl6_3
| ~ spl6_4
| ~ spl6_6
| ~ spl6_10
| ~ spl6_43 ),
inference(subsumption_resolution,[],[f2400,f252]) ).
fof(f2400,plain,
( doDivides0(sz10,xn)
| xm != xp
| ~ aNaturalNumber0(xp)
| ~ spl6_2
| ~ spl6_3
| ~ spl6_4
| ~ spl6_6
| ~ spl6_10
| ~ spl6_43 ),
inference(subsumption_resolution,[],[f2384,f262]) ).
fof(f2384,plain,
( doDivides0(sz10,xn)
| ~ aNaturalNumber0(sz10)
| xm != xp
| ~ aNaturalNumber0(xp)
| ~ spl6_2
| ~ spl6_3
| ~ spl6_4
| ~ spl6_6
| ~ spl6_10
| ~ spl6_43 ),
inference(resolution,[],[f2373,f1993]) ).
fof(f1993,plain,
( ! [X59] :
( doDivides0(sz10,X59)
| xm != X59
| ~ aNaturalNumber0(X59) )
| ~ spl6_3
| ~ spl6_6
| ~ spl6_43 ),
inference(subsumption_resolution,[],[f1992,f262]) ).
fof(f1992,plain,
( ! [X59] :
( xm != X59
| doDivides0(sz10,X59)
| ~ aNaturalNumber0(X59)
| ~ aNaturalNumber0(sz10) )
| ~ spl6_3
| ~ spl6_43 ),
inference(subsumption_resolution,[],[f1872,f247]) ).
fof(f1872,plain,
( ! [X59] :
( xm != X59
| doDivides0(sz10,X59)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X59)
| ~ aNaturalNumber0(sz10) )
| ~ spl6_43 ),
inference(superposition,[],[f213,f503]) ).
fof(f2414,plain,
( spl6_147
| ~ spl6_2
| ~ spl6_4
| ~ spl6_6
| ~ spl6_10
| ~ spl6_44 ),
inference(avatar_split_clause,[],[f2399,f506,f280,f260,f250,f240,f2411]) ).
fof(f2332,plain,
( ~ spl6_146
| ~ spl6_3
| spl6_8
| ~ spl6_61 ),
inference(avatar_split_clause,[],[f2323,f646,f270,f245,f2329]) ).
fof(f2323,plain,
( sz00 != sdtasdt0(xn,xn)
| ~ spl6_3
| spl6_8
| ~ spl6_61 ),
inference(subsumption_resolution,[],[f2322,f247]) ).
fof(f2322,plain,
( sz00 != sdtasdt0(xn,xn)
| ~ aNaturalNumber0(xm)
| spl6_8
| ~ spl6_61 ),
inference(subsumption_resolution,[],[f2317,f272]) ).
fof(f2317,plain,
( sz00 != sdtasdt0(xn,xn)
| sz00 = xm
| ~ aNaturalNumber0(xm)
| ~ spl6_61 ),
inference(duplicate_literal_removal,[],[f2311]) ).
fof(f2311,plain,
( sz00 != sdtasdt0(xn,xn)
| sz00 = xm
| sz00 = xm
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xm)
| ~ spl6_61 ),
inference(superposition,[],[f199,f647]) ).
fof(f2141,plain,
( spl6_145
| ~ spl6_4
| ~ spl6_6
| ~ spl6_98 ),
inference(avatar_split_clause,[],[f2094,f1309,f260,f250,f2138]) ).
fof(f2138,plain,
( spl6_145
<=> xp = sdtpldt0(sz10,sK5(sz10,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_145])]) ).
fof(f1309,plain,
( spl6_98
<=> sdtlseqdt0(sz10,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_98])]) ).
fof(f2094,plain,
( xp = sdtpldt0(sz10,sK5(sz10,xp))
| ~ spl6_4
| ~ spl6_6
| ~ spl6_98 ),
inference(subsumption_resolution,[],[f2093,f262]) ).
fof(f2093,plain,
( xp = sdtpldt0(sz10,sK5(sz10,xp))
| ~ aNaturalNumber0(sz10)
| ~ spl6_4
| ~ spl6_98 ),
inference(subsumption_resolution,[],[f2070,f252]) ).
fof(f2070,plain,
( xp = sdtpldt0(sz10,sK5(sz10,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz10)
| ~ spl6_98 ),
inference(resolution,[],[f215,f1311]) ).
fof(f1311,plain,
( sdtlseqdt0(sz10,xp)
| ~ spl6_98 ),
inference(avatar_component_clause,[],[f1309]) ).
fof(f2136,plain,
( spl6_144
| ~ spl6_3
| ~ spl6_6
| ~ spl6_97 ),
inference(avatar_split_clause,[],[f2092,f1304,f260,f245,f2133]) ).
fof(f2133,plain,
( spl6_144
<=> xm = sdtpldt0(sz10,sK5(sz10,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_144])]) ).
fof(f1304,plain,
( spl6_97
<=> sdtlseqdt0(sz10,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_97])]) ).
fof(f2092,plain,
( xm = sdtpldt0(sz10,sK5(sz10,xm))
| ~ spl6_3
| ~ spl6_6
| ~ spl6_97 ),
inference(subsumption_resolution,[],[f2091,f262]) ).
fof(f2091,plain,
( xm = sdtpldt0(sz10,sK5(sz10,xm))
| ~ aNaturalNumber0(sz10)
| ~ spl6_3
| ~ spl6_97 ),
inference(subsumption_resolution,[],[f2069,f247]) ).
fof(f2069,plain,
( xm = sdtpldt0(sz10,sK5(sz10,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz10)
| ~ spl6_97 ),
inference(resolution,[],[f215,f1306]) ).
fof(f1306,plain,
( sdtlseqdt0(sz10,xm)
| ~ spl6_97 ),
inference(avatar_component_clause,[],[f1304]) ).
fof(f2131,plain,
( spl6_143
| ~ spl6_2
| ~ spl6_6
| ~ spl6_96 ),
inference(avatar_split_clause,[],[f2090,f1299,f260,f240,f2128]) ).
fof(f2128,plain,
( spl6_143
<=> xn = sdtpldt0(sz10,sK5(sz10,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_143])]) ).
fof(f1299,plain,
( spl6_96
<=> sdtlseqdt0(sz10,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_96])]) ).
fof(f2090,plain,
( xn = sdtpldt0(sz10,sK5(sz10,xn))
| ~ spl6_2
| ~ spl6_6
| ~ spl6_96 ),
inference(subsumption_resolution,[],[f2089,f262]) ).
fof(f2089,plain,
( xn = sdtpldt0(sz10,sK5(sz10,xn))
| ~ aNaturalNumber0(sz10)
| ~ spl6_2
| ~ spl6_96 ),
inference(subsumption_resolution,[],[f2068,f242]) ).
fof(f2068,plain,
( xn = sdtpldt0(sz10,sK5(sz10,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz10)
| ~ spl6_96 ),
inference(resolution,[],[f215,f1301]) ).
fof(f1301,plain,
( sdtlseqdt0(sz10,xn)
| ~ spl6_96 ),
inference(avatar_component_clause,[],[f1299]) ).
fof(f2123,plain,
( spl6_142
| ~ spl6_2
| ~ spl6_4
| ~ spl6_122 ),
inference(avatar_split_clause,[],[f2110,f1594,f250,f240,f2120]) ).
fof(f2120,plain,
( spl6_142
<=> xn = sdtpldt0(xp,sK5(xp,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_142])]) ).
fof(f2110,plain,
( xn = sdtpldt0(xp,sK5(xp,xn))
| ~ spl6_2
| ~ spl6_4
| ~ spl6_122 ),
inference(subsumption_resolution,[],[f2109,f252]) ).
fof(f2109,plain,
( xn = sdtpldt0(xp,sK5(xp,xn))
| ~ aNaturalNumber0(xp)
| ~ spl6_2
| ~ spl6_122 ),
inference(subsumption_resolution,[],[f2079,f242]) ).
fof(f2079,plain,
( xn = sdtpldt0(xp,sK5(xp,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xp)
| ~ spl6_122 ),
inference(resolution,[],[f215,f1596]) ).
fof(f2115,plain,
( spl6_141
| ~ spl6_2
| ~ spl6_3
| ~ spl6_53 ),
inference(avatar_split_clause,[],[f2103,f594,f245,f240,f2112]) ).
fof(f2112,plain,
( spl6_141
<=> xm = sdtpldt0(xn,sK5(xn,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_141])]) ).
fof(f594,plain,
( spl6_53
<=> sdtlseqdt0(xn,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_53])]) ).
fof(f2103,plain,
( xm = sdtpldt0(xn,sK5(xn,xm))
| ~ spl6_2
| ~ spl6_3
| ~ spl6_53 ),
inference(subsumption_resolution,[],[f2102,f242]) ).
fof(f2102,plain,
( xm = sdtpldt0(xn,sK5(xn,xm))
| ~ aNaturalNumber0(xn)
| ~ spl6_3
| ~ spl6_53 ),
inference(subsumption_resolution,[],[f2074,f247]) ).
fof(f2074,plain,
( xm = sdtpldt0(xn,sK5(xn,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ spl6_53 ),
inference(resolution,[],[f215,f595]) ).
fof(f595,plain,
( sdtlseqdt0(xn,xm)
| ~ spl6_53 ),
inference(avatar_component_clause,[],[f594]) ).
fof(f1812,plain,
( spl6_140
| ~ spl6_61
| ~ spl6_75 ),
inference(avatar_split_clause,[],[f1744,f958,f646,f1809]) ).
fof(f1809,plain,
( spl6_140
<=> sdtasdt0(xn,xn) = sdtasdt0(sdtasdt0(xn,xn),xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_140])]) ).
fof(f1744,plain,
( sdtasdt0(xn,xn) = sdtasdt0(sdtasdt0(xn,xn),xp)
| ~ spl6_61
| ~ spl6_75 ),
inference(superposition,[],[f960,f647]) ).
fof(f1796,plain,
( spl6_139
| ~ spl6_2
| ~ spl6_4
| ~ spl6_10 ),
inference(avatar_split_clause,[],[f1787,f280,f250,f240,f1793]) ).
fof(f1776,plain,
( spl6_138
| ~ spl6_46
| ~ spl6_61 ),
inference(avatar_split_clause,[],[f1735,f646,f540,f1773]) ).
fof(f1735,plain,
( sdtasdt0(xn,xn) = sdtasdt0(xp,sdtasdt0(xn,xn))
| ~ spl6_46
| ~ spl6_61 ),
inference(superposition,[],[f542,f647]) ).
fof(f1769,plain,
( spl6_137
| ~ spl6_54
| ~ spl6_61 ),
inference(avatar_split_clause,[],[f1739,f646,f598,f1766]) ).
fof(f1766,plain,
( spl6_137
<=> sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xn,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_137])]) ).
fof(f598,plain,
( spl6_54
<=> sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_54])]) ).
fof(f1739,plain,
( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xn,xn))
| ~ spl6_54
| ~ spl6_61 ),
inference(superposition,[],[f600,f647]) ).
fof(f600,plain,
( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm))
| ~ spl6_54 ),
inference(avatar_component_clause,[],[f598]) ).
fof(f1761,plain,
( spl6_136
| ~ spl6_3
| spl6_8
| ~ spl6_61 ),
inference(avatar_split_clause,[],[f1756,f646,f270,f245,f1758]) ).
fof(f1758,plain,
( spl6_136
<=> sdtlseqdt0(xm,sdtasdt0(xn,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_136])]) ).
fof(f1756,plain,
( sdtlseqdt0(xm,sdtasdt0(xn,xn))
| ~ spl6_3
| spl6_8
| ~ spl6_61 ),
inference(subsumption_resolution,[],[f1755,f247]) ).
fof(f1755,plain,
( sdtlseqdt0(xm,sdtasdt0(xn,xn))
| ~ aNaturalNumber0(xm)
| spl6_8
| ~ spl6_61 ),
inference(subsumption_resolution,[],[f1754,f272]) ).
fof(f1754,plain,
( sdtlseqdt0(xm,sdtasdt0(xn,xn))
| sz00 = xm
| ~ aNaturalNumber0(xm)
| ~ spl6_61 ),
inference(duplicate_literal_removal,[],[f1751]) ).
fof(f1751,plain,
( sdtlseqdt0(xm,sdtasdt0(xn,xn))
| sz00 = xm
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xm)
| ~ spl6_61 ),
inference(superposition,[],[f193,f647]) ).
fof(f1728,plain,
( ~ spl6_134
| spl6_135
| ~ spl6_3
| ~ spl6_6
| ~ spl6_97 ),
inference(avatar_split_clause,[],[f1664,f1304,f260,f245,f1725,f1721]) ).
fof(f1721,plain,
( spl6_134
<=> sdtlseqdt0(xm,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_134])]) ).
fof(f1664,plain,
( sz10 = xm
| ~ sdtlseqdt0(xm,sz10)
| ~ spl6_3
| ~ spl6_6
| ~ spl6_97 ),
inference(subsumption_resolution,[],[f1663,f247]) ).
fof(f1663,plain,
( sz10 = xm
| ~ sdtlseqdt0(xm,sz10)
| ~ aNaturalNumber0(xm)
| ~ spl6_6
| ~ spl6_97 ),
inference(subsumption_resolution,[],[f1644,f262]) ).
fof(f1644,plain,
( sz10 = xm
| ~ sdtlseqdt0(xm,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ spl6_97 ),
inference(resolution,[],[f210,f1306]) ).
fof(f1714,plain,
( ~ spl6_132
| spl6_133
| ~ spl6_2
| ~ spl6_6
| ~ spl6_96 ),
inference(avatar_split_clause,[],[f1662,f1299,f260,f240,f1711,f1707]) ).
fof(f1707,plain,
( spl6_132
<=> sdtlseqdt0(xn,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_132])]) ).
fof(f1662,plain,
( sz10 = xn
| ~ sdtlseqdt0(xn,sz10)
| ~ spl6_2
| ~ spl6_6
| ~ spl6_96 ),
inference(subsumption_resolution,[],[f1661,f242]) ).
fof(f1661,plain,
( sz10 = xn
| ~ sdtlseqdt0(xn,sz10)
| ~ aNaturalNumber0(xn)
| ~ spl6_6
| ~ spl6_96 ),
inference(subsumption_resolution,[],[f1643,f262]) ).
fof(f1643,plain,
( sz10 = xn
| ~ sdtlseqdt0(xn,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ spl6_96 ),
inference(resolution,[],[f210,f1301]) ).
fof(f1702,plain,
( ~ spl6_131
| ~ spl6_4
| ~ spl6_6
| ~ spl6_98
| spl6_116 ),
inference(avatar_split_clause,[],[f1667,f1492,f1309,f260,f250,f1699]) ).
fof(f1699,plain,
( spl6_131
<=> sdtlseqdt0(xp,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_131])]) ).
fof(f1667,plain,
( ~ sdtlseqdt0(xp,sz10)
| ~ spl6_4
| ~ spl6_6
| ~ spl6_98
| spl6_116 ),
inference(subsumption_resolution,[],[f1666,f252]) ).
fof(f1666,plain,
( ~ sdtlseqdt0(xp,sz10)
| ~ aNaturalNumber0(xp)
| ~ spl6_6
| ~ spl6_98
| spl6_116 ),
inference(subsumption_resolution,[],[f1665,f262]) ).
fof(f1665,plain,
( ~ sdtlseqdt0(xp,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ spl6_98
| spl6_116 ),
inference(subsumption_resolution,[],[f1645,f1493]) ).
fof(f1645,plain,
( sz10 = xp
| ~ sdtlseqdt0(xp,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ spl6_98 ),
inference(resolution,[],[f210,f1311]) ).
fof(f1694,plain,
( ~ spl6_130
| ~ spl6_2
| ~ spl6_4
| spl6_115
| ~ spl6_122 ),
inference(avatar_split_clause,[],[f1683,f1594,f1488,f250,f240,f1691]) ).
fof(f1691,plain,
( spl6_130
<=> sdtlseqdt0(xn,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_130])]) ).
fof(f1683,plain,
( ~ sdtlseqdt0(xn,xp)
| ~ spl6_2
| ~ spl6_4
| spl6_115
| ~ spl6_122 ),
inference(subsumption_resolution,[],[f1682,f242]) ).
fof(f1682,plain,
( ~ sdtlseqdt0(xn,xp)
| ~ aNaturalNumber0(xn)
| ~ spl6_4
| spl6_115
| ~ spl6_122 ),
inference(subsumption_resolution,[],[f1681,f252]) ).
fof(f1681,plain,
( ~ sdtlseqdt0(xn,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| spl6_115
| ~ spl6_122 ),
inference(subsumption_resolution,[],[f1652,f1489]) ).
fof(f1652,plain,
( xn = xp
| ~ sdtlseqdt0(xn,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ spl6_122 ),
inference(resolution,[],[f210,f1596]) ).
fof(f1677,plain,
( ~ spl6_48
| ~ spl6_52
| ~ spl6_54
| spl6_61
| ~ spl6_110 ),
inference(avatar_contradiction_clause,[],[f1676]) ).
fof(f1676,plain,
( $false
| ~ spl6_48
| ~ spl6_52
| ~ spl6_54
| spl6_61
| ~ spl6_110 ),
inference(subsumption_resolution,[],[f1675,f591]) ).
fof(f1675,plain,
( ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ spl6_48
| ~ spl6_54
| spl6_61
| ~ spl6_110 ),
inference(subsumption_resolution,[],[f1674,f553]) ).
fof(f1674,plain,
( ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ spl6_54
| spl6_61
| ~ spl6_110 ),
inference(subsumption_resolution,[],[f1673,f600]) ).
fof(f1673,plain,
( ~ sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm))
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| spl6_61
| ~ spl6_110 ),
inference(subsumption_resolution,[],[f1647,f648]) ).
fof(f648,plain,
( sdtasdt0(xm,xm) != sdtasdt0(xn,xn)
| spl6_61 ),
inference(avatar_component_clause,[],[f646]) ).
fof(f1647,plain,
( sdtasdt0(xm,xm) = sdtasdt0(xn,xn)
| ~ sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm))
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ spl6_110 ),
inference(resolution,[],[f210,f1431]) ).
fof(f1431,plain,
( sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xn,xn))
| ~ spl6_110 ),
inference(avatar_component_clause,[],[f1429]) ).
fof(f1429,plain,
( spl6_110
<=> sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xn,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_110])]) ).
fof(f1672,plain,
( ~ spl6_48
| ~ spl6_52
| ~ spl6_54
| spl6_61
| ~ spl6_110 ),
inference(avatar_contradiction_clause,[],[f1671]) ).
fof(f1671,plain,
( $false
| ~ spl6_48
| ~ spl6_52
| ~ spl6_54
| spl6_61
| ~ spl6_110 ),
inference(subsumption_resolution,[],[f1670,f553]) ).
fof(f1670,plain,
( ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ~ spl6_52
| ~ spl6_54
| spl6_61
| ~ spl6_110 ),
inference(subsumption_resolution,[],[f1669,f591]) ).
fof(f1669,plain,
( ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ~ spl6_54
| spl6_61
| ~ spl6_110 ),
inference(subsumption_resolution,[],[f1668,f1431]) ).
fof(f1668,plain,
( ~ sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ~ spl6_54
| spl6_61 ),
inference(subsumption_resolution,[],[f1646,f648]) ).
fof(f1646,plain,
( sdtasdt0(xm,xm) = sdtasdt0(xn,xn)
| ~ sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ~ spl6_54 ),
inference(resolution,[],[f210,f600]) ).
fof(f1632,plain,
( spl6_129
| ~ spl6_6
| ~ spl6_52 ),
inference(avatar_split_clause,[],[f1559,f589,f260,f1629]) ).
fof(f1629,plain,
( spl6_129
<=> sz00 = sdtasdt0(sdtpldt0(sz10,sdtasdt0(xn,xn)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_129])]) ).
fof(f1559,plain,
( sz00 = sdtasdt0(sdtpldt0(sz10,sdtasdt0(xn,xn)),sz00)
| ~ spl6_6
| ~ spl6_52 ),
inference(resolution,[],[f1185,f591]) ).
fof(f1627,plain,
( spl6_128
| ~ spl6_6
| ~ spl6_48 ),
inference(avatar_split_clause,[],[f1558,f551,f260,f1624]) ).
fof(f1624,plain,
( spl6_128
<=> sz00 = sdtasdt0(sdtpldt0(sz10,sdtasdt0(xm,xm)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_128])]) ).
fof(f1558,plain,
( sz00 = sdtasdt0(sdtpldt0(sz10,sdtasdt0(xm,xm)),sz00)
| ~ spl6_6
| ~ spl6_48 ),
inference(resolution,[],[f1185,f553]) ).
fof(f1622,plain,
( spl6_127
| ~ spl6_4
| ~ spl6_52 ),
inference(avatar_split_clause,[],[f1508,f589,f250,f1619]) ).
fof(f1619,plain,
( spl6_127
<=> sz00 = sdtasdt0(sdtpldt0(xp,sdtasdt0(xn,xn)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_127])]) ).
fof(f1617,plain,
( spl6_126
| ~ spl6_4
| ~ spl6_48 ),
inference(avatar_split_clause,[],[f1507,f551,f250,f1614]) ).
fof(f1614,plain,
( spl6_126
<=> sz00 = sdtasdt0(sdtpldt0(xp,sdtasdt0(xm,xm)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_126])]) ).
fof(f1507,plain,
( sz00 = sdtasdt0(sdtpldt0(xp,sdtasdt0(xm,xm)),sz00)
| ~ spl6_4
| ~ spl6_48 ),
inference(resolution,[],[f1192,f553]) ).
fof(f1612,plain,
( spl6_125
| ~ spl6_3
| ~ spl6_52 ),
inference(avatar_split_clause,[],[f1442,f589,f245,f1609]) ).
fof(f1609,plain,
( spl6_125
<=> sz00 = sdtasdt0(sdtpldt0(xm,sdtasdt0(xn,xn)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_125])]) ).
fof(f1442,plain,
( sz00 = sdtasdt0(sdtpldt0(xm,sdtasdt0(xn,xn)),sz00)
| ~ spl6_3
| ~ spl6_52 ),
inference(resolution,[],[f1191,f591]) ).
fof(f1607,plain,
( spl6_124
| ~ spl6_3
| ~ spl6_48 ),
inference(avatar_split_clause,[],[f1441,f551,f245,f1604]) ).
fof(f1604,plain,
( spl6_124
<=> sz00 = sdtasdt0(sdtpldt0(xm,sdtasdt0(xm,xm)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_124])]) ).
fof(f1441,plain,
( sz00 = sdtasdt0(sdtpldt0(xm,sdtasdt0(xm,xm)),sz00)
| ~ spl6_3
| ~ spl6_48 ),
inference(resolution,[],[f1191,f553]) ).
fof(f1602,plain,
( spl6_123
| ~ spl6_2
| ~ spl6_52 ),
inference(avatar_split_clause,[],[f1202,f589,f240,f1599]) ).
fof(f1599,plain,
( spl6_123
<=> sz00 = sdtasdt0(sdtpldt0(xn,sdtasdt0(xn,xn)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_123])]) ).
fof(f1202,plain,
( sz00 = sdtasdt0(sdtpldt0(xn,sdtasdt0(xn,xn)),sz00)
| ~ spl6_2
| ~ spl6_52 ),
inference(resolution,[],[f1190,f591]) ).
fof(f1597,plain,
( spl6_122
| ~ spl6_2
| ~ spl6_4
| spl6_7
| ~ spl6_10 ),
inference(avatar_split_clause,[],[f1588,f280,f265,f250,f240,f1594]) ).
fof(f1588,plain,
( sdtlseqdt0(xp,xn)
| ~ spl6_2
| ~ spl6_4
| spl6_7
| ~ spl6_10 ),
inference(subsumption_resolution,[],[f1587,f252]) ).
fof(f1587,plain,
( sdtlseqdt0(xp,xn)
| ~ aNaturalNumber0(xp)
| ~ spl6_2
| spl6_7
| ~ spl6_10 ),
inference(subsumption_resolution,[],[f1586,f242]) ).
fof(f1586,plain,
( sdtlseqdt0(xp,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xp)
| spl6_7
| ~ spl6_10 ),
inference(subsumption_resolution,[],[f1580,f267]) ).
fof(f1580,plain,
( sz00 = xn
| sdtlseqdt0(xp,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xp)
| ~ spl6_10 ),
inference(resolution,[],[f209,f282]) ).
fof(f1579,plain,
( spl6_121
| ~ spl6_2
| ~ spl6_48 ),
inference(avatar_split_clause,[],[f1201,f551,f240,f1576]) ).
fof(f1576,plain,
( spl6_121
<=> sz00 = sdtasdt0(sdtpldt0(xn,sdtasdt0(xm,xm)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_121])]) ).
fof(f1201,plain,
( sz00 = sdtasdt0(sdtpldt0(xn,sdtasdt0(xm,xm)),sz00)
| ~ spl6_2
| ~ spl6_48 ),
inference(resolution,[],[f1190,f553]) ).
fof(f1572,plain,
( spl6_120
| ~ spl6_6 ),
inference(avatar_split_clause,[],[f1555,f260,f1569]) ).
fof(f1569,plain,
( spl6_120
<=> sz00 = sdtasdt0(sdtpldt0(sz10,sz10),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_120])]) ).
fof(f1529,plain,
( spl6_119
| ~ spl6_4
| ~ spl6_6
| ~ spl6_71 ),
inference(avatar_split_clause,[],[f1517,f813,f260,f250,f1526]) ).
fof(f1526,plain,
( spl6_119
<=> sz00 = sdtasdt0(sdtpldt0(sz10,xp),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_119])]) ).
fof(f1517,plain,
( sz00 = sdtasdt0(sdtpldt0(sz10,xp),sz00)
| ~ spl6_4
| ~ spl6_6
| ~ spl6_71 ),
inference(forward_demodulation,[],[f1504,f815]) ).
fof(f1504,plain,
( sz00 = sdtasdt0(sdtpldt0(xp,sz10),sz00)
| ~ spl6_4
| ~ spl6_6 ),
inference(resolution,[],[f1192,f262]) ).
fof(f1524,plain,
( spl6_118
| ~ spl6_4 ),
inference(avatar_split_clause,[],[f1511,f250,f1521]) ).
fof(f1521,plain,
( spl6_118
<=> sz00 = sdtasdt0(sdtpldt0(xp,xp),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_118])]) ).
fof(f1502,plain,
( ~ spl6_117
| ~ spl6_2
| spl6_114 ),
inference(avatar_split_clause,[],[f1497,f1484,f240,f1499]) ).
fof(f1499,plain,
( spl6_117
<=> isPrime0(xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_117])]) ).
fof(f1497,plain,
( ~ isPrime0(xn)
| ~ spl6_2
| spl6_114 ),
inference(subsumption_resolution,[],[f1496,f242]) ).
fof(f1496,plain,
( ~ isPrime0(xn)
| ~ aNaturalNumber0(xn)
| spl6_114 ),
inference(resolution,[],[f1486,f320]) ).
fof(f1495,plain,
( ~ spl6_114
| spl6_115
| spl6_116
| ~ spl6_4
| ~ spl6_10 ),
inference(avatar_split_clause,[],[f1457,f280,f250,f1492,f1488,f1484]) ).
fof(f1476,plain,
( spl6_113
| ~ spl6_3
| ~ spl6_6
| ~ spl6_69 ),
inference(avatar_split_clause,[],[f1451,f778,f260,f245,f1473]) ).
fof(f1473,plain,
( spl6_113
<=> sz00 = sdtasdt0(sdtpldt0(sz10,xm),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_113])]) ).
fof(f1451,plain,
( sz00 = sdtasdt0(sdtpldt0(sz10,xm),sz00)
| ~ spl6_3
| ~ spl6_6
| ~ spl6_69 ),
inference(forward_demodulation,[],[f1438,f780]) ).
fof(f1438,plain,
( sz00 = sdtasdt0(sdtpldt0(xm,sz10),sz00)
| ~ spl6_3
| ~ spl6_6 ),
inference(resolution,[],[f1191,f262]) ).
fof(f1471,plain,
( spl6_112
| ~ spl6_3
| ~ spl6_4 ),
inference(avatar_split_clause,[],[f1445,f250,f245,f1468]) ).
fof(f1468,plain,
( spl6_112
<=> sz00 = sdtasdt0(sdtpldt0(xm,xp),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_112])]) ).
fof(f1445,plain,
( sz00 = sdtasdt0(sdtpldt0(xm,xp),sz00)
| ~ spl6_3
| ~ spl6_4 ),
inference(resolution,[],[f1191,f252]) ).
fof(f1466,plain,
( spl6_111
| ~ spl6_3 ),
inference(avatar_split_clause,[],[f1444,f245,f1463]) ).
fof(f1463,plain,
( spl6_111
<=> sz00 = sdtasdt0(sdtpldt0(xm,xm),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_111])]) ).
fof(f1444,plain,
( sz00 = sdtasdt0(sdtpldt0(xm,xm),sz00)
| ~ spl6_3 ),
inference(resolution,[],[f1191,f247]) ).
fof(f1432,plain,
( spl6_110
| ~ spl6_4
| spl6_9
| ~ spl6_48
| ~ spl6_75 ),
inference(avatar_split_clause,[],[f1297,f958,f551,f275,f250,f1429]) ).
fof(f1297,plain,
( sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xn,xn))
| ~ spl6_4
| spl6_9
| ~ spl6_48
| ~ spl6_75 ),
inference(subsumption_resolution,[],[f1296,f252]) ).
fof(f1296,plain,
( sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xn,xn))
| ~ aNaturalNumber0(xp)
| spl6_9
| ~ spl6_48
| ~ spl6_75 ),
inference(subsumption_resolution,[],[f1295,f553]) ).
fof(f1295,plain,
( sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ~ aNaturalNumber0(xp)
| spl6_9
| ~ spl6_75 ),
inference(subsumption_resolution,[],[f1269,f277]) ).
fof(f1269,plain,
( sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xn,xn))
| sz00 = xp
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ~ aNaturalNumber0(xp)
| ~ spl6_75 ),
inference(superposition,[],[f193,f960]) ).
fof(f1423,plain,
( spl6_109
| ~ spl6_2
| ~ spl6_6
| ~ spl6_66 ),
inference(avatar_split_clause,[],[f1211,f748,f260,f240,f1420]) ).
fof(f1420,plain,
( spl6_109
<=> sz00 = sdtasdt0(sdtpldt0(sz10,xn),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_109])]) ).
fof(f1211,plain,
( sz00 = sdtasdt0(sdtpldt0(sz10,xn),sz00)
| ~ spl6_2
| ~ spl6_6
| ~ spl6_66 ),
inference(forward_demodulation,[],[f1198,f750]) ).
fof(f1198,plain,
( sz00 = sdtasdt0(sdtpldt0(xn,sz10),sz00)
| ~ spl6_2
| ~ spl6_6 ),
inference(resolution,[],[f1190,f262]) ).
fof(f1418,plain,
( spl6_108
| ~ spl6_2
| ~ spl6_4 ),
inference(avatar_split_clause,[],[f1205,f250,f240,f1415]) ).
fof(f1415,plain,
( spl6_108
<=> sz00 = sdtasdt0(sdtpldt0(xn,xp),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_108])]) ).
fof(f1394,plain,
( ~ spl6_107
| ~ spl6_3
| ~ spl6_4
| spl6_9
| ~ spl6_70 ),
inference(avatar_split_clause,[],[f1364,f783,f275,f250,f245,f1391]) ).
fof(f1391,plain,
( spl6_107
<=> sz00 = sdtpldt0(xm,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_107])]) ).
fof(f1364,plain,
( sz00 != sdtpldt0(xm,xp)
| ~ spl6_3
| ~ spl6_4
| spl6_9
| ~ spl6_70 ),
inference(subsumption_resolution,[],[f1363,f252]) ).
fof(f1363,plain,
( sz00 != sdtpldt0(xm,xp)
| ~ aNaturalNumber0(xp)
| ~ spl6_3
| spl6_9
| ~ spl6_70 ),
inference(subsumption_resolution,[],[f1362,f247]) ).
fof(f1362,plain,
( sz00 != sdtpldt0(xm,xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xp)
| spl6_9
| ~ spl6_70 ),
inference(subsumption_resolution,[],[f1345,f277]) ).
fof(f1345,plain,
( sz00 != sdtpldt0(xm,xp)
| sz00 = xp
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xp)
| ~ spl6_70 ),
inference(superposition,[],[f197,f785]) ).
fof(f1389,plain,
( ~ spl6_106
| ~ spl6_2
| ~ spl6_4
| spl6_9
| ~ spl6_68 ),
inference(avatar_split_clause,[],[f1361,f758,f275,f250,f240,f1386]) ).
fof(f1386,plain,
( spl6_106
<=> sz00 = sdtpldt0(xn,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_106])]) ).
fof(f1361,plain,
( sz00 != sdtpldt0(xn,xp)
| ~ spl6_2
| ~ spl6_4
| spl6_9
| ~ spl6_68 ),
inference(subsumption_resolution,[],[f1360,f252]) ).
fof(f1360,plain,
( sz00 != sdtpldt0(xn,xp)
| ~ aNaturalNumber0(xp)
| ~ spl6_2
| spl6_9
| ~ spl6_68 ),
inference(subsumption_resolution,[],[f1359,f242]) ).
fof(f1359,plain,
( sz00 != sdtpldt0(xn,xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xp)
| spl6_9
| ~ spl6_68 ),
inference(subsumption_resolution,[],[f1343,f277]) ).
fof(f1343,plain,
( sz00 != sdtpldt0(xn,xp)
| sz00 = xp
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xp)
| ~ spl6_68 ),
inference(superposition,[],[f197,f760]) ).
fof(f1384,plain,
( ~ spl6_105
| ~ spl6_2
| ~ spl6_3
| spl6_8
| ~ spl6_67 ),
inference(avatar_split_clause,[],[f1358,f753,f270,f245,f240,f1381]) ).
fof(f1381,plain,
( spl6_105
<=> sz00 = sdtpldt0(xn,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_105])]) ).
fof(f1358,plain,
( sz00 != sdtpldt0(xn,xm)
| ~ spl6_2
| ~ spl6_3
| spl6_8
| ~ spl6_67 ),
inference(subsumption_resolution,[],[f1357,f247]) ).
fof(f1357,plain,
( sz00 != sdtpldt0(xn,xm)
| ~ aNaturalNumber0(xm)
| ~ spl6_2
| spl6_8
| ~ spl6_67 ),
inference(subsumption_resolution,[],[f1356,f242]) ).
fof(f1356,plain,
( sz00 != sdtpldt0(xn,xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| spl6_8
| ~ spl6_67 ),
inference(subsumption_resolution,[],[f1342,f272]) ).
fof(f1342,plain,
( sz00 != sdtpldt0(xn,xm)
| sz00 = xm
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ spl6_67 ),
inference(superposition,[],[f197,f755]) ).
fof(f1379,plain,
( ~ spl6_104
| ~ spl6_4
| ~ spl6_6
| spl6_9
| ~ spl6_71 ),
inference(avatar_split_clause,[],[f1355,f813,f275,f260,f250,f1376]) ).
fof(f1376,plain,
( spl6_104
<=> sz00 = sdtpldt0(sz10,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_104])]) ).
fof(f1355,plain,
( sz00 != sdtpldt0(sz10,xp)
| ~ spl6_4
| ~ spl6_6
| spl6_9
| ~ spl6_71 ),
inference(subsumption_resolution,[],[f1354,f252]) ).
fof(f1354,plain,
( sz00 != sdtpldt0(sz10,xp)
| ~ aNaturalNumber0(xp)
| ~ spl6_6
| spl6_9
| ~ spl6_71 ),
inference(subsumption_resolution,[],[f1353,f262]) ).
fof(f1353,plain,
( sz00 != sdtpldt0(sz10,xp)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| spl6_9
| ~ spl6_71 ),
inference(subsumption_resolution,[],[f1338,f277]) ).
fof(f1338,plain,
( sz00 != sdtpldt0(sz10,xp)
| sz00 = xp
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ spl6_71 ),
inference(superposition,[],[f197,f815]) ).
fof(f1374,plain,
( ~ spl6_103
| ~ spl6_3
| ~ spl6_6
| spl6_8
| ~ spl6_69 ),
inference(avatar_split_clause,[],[f1352,f778,f270,f260,f245,f1371]) ).
fof(f1371,plain,
( spl6_103
<=> sz00 = sdtpldt0(sz10,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_103])]) ).
fof(f1352,plain,
( sz00 != sdtpldt0(sz10,xm)
| ~ spl6_3
| ~ spl6_6
| spl6_8
| ~ spl6_69 ),
inference(subsumption_resolution,[],[f1351,f247]) ).
fof(f1351,plain,
( sz00 != sdtpldt0(sz10,xm)
| ~ aNaturalNumber0(xm)
| ~ spl6_6
| spl6_8
| ~ spl6_69 ),
inference(subsumption_resolution,[],[f1350,f262]) ).
fof(f1350,plain,
( sz00 != sdtpldt0(sz10,xm)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| spl6_8
| ~ spl6_69 ),
inference(subsumption_resolution,[],[f1337,f272]) ).
fof(f1337,plain,
( sz00 != sdtpldt0(sz10,xm)
| sz00 = xm
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ spl6_69 ),
inference(superposition,[],[f197,f780]) ).
fof(f1369,plain,
( ~ spl6_102
| ~ spl6_2
| ~ spl6_6
| spl6_7
| ~ spl6_66 ),
inference(avatar_split_clause,[],[f1349,f748,f265,f260,f240,f1366]) ).
fof(f1366,plain,
( spl6_102
<=> sz00 = sdtpldt0(sz10,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_102])]) ).
fof(f1349,plain,
( sz00 != sdtpldt0(sz10,xn)
| ~ spl6_2
| ~ spl6_6
| spl6_7
| ~ spl6_66 ),
inference(subsumption_resolution,[],[f1348,f242]) ).
fof(f1348,plain,
( sz00 != sdtpldt0(sz10,xn)
| ~ aNaturalNumber0(xn)
| ~ spl6_6
| spl6_7
| ~ spl6_66 ),
inference(subsumption_resolution,[],[f1347,f262]) ).
fof(f1347,plain,
( sz00 != sdtpldt0(sz10,xn)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| spl6_7
| ~ spl6_66 ),
inference(subsumption_resolution,[],[f1336,f267]) ).
fof(f1336,plain,
( sz00 != sdtpldt0(sz10,xn)
| sz00 = xn
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ spl6_66 ),
inference(superposition,[],[f197,f750]) ).
fof(f1327,plain,
( spl6_101
| ~ spl6_3
| ~ spl6_4
| spl6_8
| ~ spl6_74 ),
inference(avatar_split_clause,[],[f1291,f857,f270,f250,f245,f1324]) ).
fof(f1324,plain,
( spl6_101
<=> sdtlseqdt0(xp,sdtasdt0(xm,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_101])]) ).
fof(f1291,plain,
( sdtlseqdt0(xp,sdtasdt0(xm,xp))
| ~ spl6_3
| ~ spl6_4
| spl6_8
| ~ spl6_74 ),
inference(subsumption_resolution,[],[f1290,f247]) ).
fof(f1290,plain,
( sdtlseqdt0(xp,sdtasdt0(xm,xp))
| ~ aNaturalNumber0(xm)
| ~ spl6_4
| spl6_8
| ~ spl6_74 ),
inference(subsumption_resolution,[],[f1289,f252]) ).
fof(f1289,plain,
( sdtlseqdt0(xp,sdtasdt0(xm,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| spl6_8
| ~ spl6_74 ),
inference(subsumption_resolution,[],[f1266,f272]) ).
fof(f1266,plain,
( sdtlseqdt0(xp,sdtasdt0(xm,xp))
| sz00 = xm
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ spl6_74 ),
inference(superposition,[],[f193,f859]) ).
fof(f1322,plain,
( spl6_100
| ~ spl6_2
| ~ spl6_4
| spl6_7
| ~ spl6_73 ),
inference(avatar_split_clause,[],[f1285,f837,f265,f250,f240,f1319]) ).
fof(f1319,plain,
( spl6_100
<=> sdtlseqdt0(xp,sdtasdt0(xn,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_100])]) ).
fof(f1285,plain,
( sdtlseqdt0(xp,sdtasdt0(xn,xp))
| ~ spl6_2
| ~ spl6_4
| spl6_7
| ~ spl6_73 ),
inference(subsumption_resolution,[],[f1284,f242]) ).
fof(f1284,plain,
( sdtlseqdt0(xp,sdtasdt0(xn,xp))
| ~ aNaturalNumber0(xn)
| ~ spl6_4
| spl6_7
| ~ spl6_73 ),
inference(subsumption_resolution,[],[f1283,f252]) ).
fof(f1283,plain,
( sdtlseqdt0(xp,sdtasdt0(xn,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| spl6_7
| ~ spl6_73 ),
inference(subsumption_resolution,[],[f1263,f267]) ).
fof(f1263,plain,
( sdtlseqdt0(xp,sdtasdt0(xn,xp))
| sz00 = xn
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ spl6_73 ),
inference(superposition,[],[f193,f839]) ).
fof(f1317,plain,
( spl6_99
| ~ spl6_2
| ~ spl6_3
| spl6_7
| ~ spl6_72 ),
inference(avatar_split_clause,[],[f1282,f832,f265,f245,f240,f1314]) ).
fof(f1314,plain,
( spl6_99
<=> sdtlseqdt0(xm,sdtasdt0(xn,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_99])]) ).
fof(f1282,plain,
( sdtlseqdt0(xm,sdtasdt0(xn,xm))
| ~ spl6_2
| ~ spl6_3
| spl6_7
| ~ spl6_72 ),
inference(subsumption_resolution,[],[f1281,f242]) ).
fof(f1281,plain,
( sdtlseqdt0(xm,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xn)
| ~ spl6_3
| spl6_7
| ~ spl6_72 ),
inference(subsumption_resolution,[],[f1280,f247]) ).
fof(f1280,plain,
( sdtlseqdt0(xm,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| spl6_7
| ~ spl6_72 ),
inference(subsumption_resolution,[],[f1262,f267]) ).
fof(f1262,plain,
( sdtlseqdt0(xm,sdtasdt0(xn,xm))
| sz00 = xn
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ spl6_72 ),
inference(superposition,[],[f193,f834]) ).
fof(f1312,plain,
( spl6_98
| ~ spl6_4
| ~ spl6_6
| spl6_9
| ~ spl6_44 ),
inference(avatar_split_clause,[],[f1294,f506,f275,f260,f250,f1309]) ).
fof(f1294,plain,
( sdtlseqdt0(sz10,xp)
| ~ spl6_4
| ~ spl6_6
| spl6_9
| ~ spl6_44 ),
inference(subsumption_resolution,[],[f1293,f252]) ).
fof(f1293,plain,
( sdtlseqdt0(sz10,xp)
| ~ aNaturalNumber0(xp)
| ~ spl6_6
| spl6_9
| ~ spl6_44 ),
inference(subsumption_resolution,[],[f1292,f262]) ).
fof(f1292,plain,
( sdtlseqdt0(sz10,xp)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| spl6_9
| ~ spl6_44 ),
inference(subsumption_resolution,[],[f1268,f277]) ).
fof(f1268,plain,
( sdtlseqdt0(sz10,xp)
| sz00 = xp
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ spl6_44 ),
inference(superposition,[],[f193,f508]) ).
fof(f1307,plain,
( spl6_97
| ~ spl6_3
| ~ spl6_6
| spl6_8
| ~ spl6_43 ),
inference(avatar_split_clause,[],[f1288,f501,f270,f260,f245,f1304]) ).
fof(f1288,plain,
( sdtlseqdt0(sz10,xm)
| ~ spl6_3
| ~ spl6_6
| spl6_8
| ~ spl6_43 ),
inference(subsumption_resolution,[],[f1287,f247]) ).
fof(f1287,plain,
( sdtlseqdt0(sz10,xm)
| ~ aNaturalNumber0(xm)
| ~ spl6_6
| spl6_8
| ~ spl6_43 ),
inference(subsumption_resolution,[],[f1286,f262]) ).
fof(f1286,plain,
( sdtlseqdt0(sz10,xm)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| spl6_8
| ~ spl6_43 ),
inference(subsumption_resolution,[],[f1265,f272]) ).
fof(f1265,plain,
( sdtlseqdt0(sz10,xm)
| sz00 = xm
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ spl6_43 ),
inference(superposition,[],[f193,f503]) ).
fof(f1302,plain,
( spl6_96
| ~ spl6_2
| ~ spl6_6
| spl6_7
| ~ spl6_42 ),
inference(avatar_split_clause,[],[f1279,f496,f265,f260,f240,f1299]) ).
fof(f1279,plain,
( sdtlseqdt0(sz10,xn)
| ~ spl6_2
| ~ spl6_6
| spl6_7
| ~ spl6_42 ),
inference(subsumption_resolution,[],[f1278,f242]) ).
fof(f1278,plain,
( sdtlseqdt0(sz10,xn)
| ~ aNaturalNumber0(xn)
| ~ spl6_6
| spl6_7
| ~ spl6_42 ),
inference(subsumption_resolution,[],[f1277,f262]) ).
fof(f1277,plain,
( sdtlseqdt0(sz10,xn)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| spl6_7
| ~ spl6_42 ),
inference(subsumption_resolution,[],[f1261,f267]) ).
fof(f1261,plain,
( sdtlseqdt0(sz10,xn)
| sz00 = xn
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ spl6_42 ),
inference(superposition,[],[f193,f498]) ).
fof(f1221,plain,
( spl6_95
| ~ spl6_2
| ~ spl6_3 ),
inference(avatar_split_clause,[],[f1204,f245,f240,f1218]) ).
fof(f1218,plain,
( spl6_95
<=> sz00 = sdtasdt0(sdtpldt0(xn,xm),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_95])]) ).
fof(f1204,plain,
( sz00 = sdtasdt0(sdtpldt0(xn,xm),sz00)
| ~ spl6_2
| ~ spl6_3 ),
inference(resolution,[],[f1190,f247]) ).
fof(f1216,plain,
( spl6_94
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f1203,f240,f1213]) ).
fof(f1213,plain,
( spl6_94
<=> sz00 = sdtasdt0(sdtpldt0(xn,xn),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_94])]) ).
fof(f1175,plain,
( spl6_93
| ~ spl6_6
| ~ spl6_52 ),
inference(avatar_split_clause,[],[f1121,f589,f260,f1172]) ).
fof(f1172,plain,
( spl6_93
<=> sz00 = sdtasdt0(sz00,sdtpldt0(sz10,sdtasdt0(xn,xn))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_93])]) ).
fof(f1121,plain,
( sz00 = sdtasdt0(sz00,sdtpldt0(sz10,sdtasdt0(xn,xn)))
| ~ spl6_6
| ~ spl6_52 ),
inference(resolution,[],[f982,f591]) ).
fof(f1170,plain,
( spl6_92
| ~ spl6_6
| ~ spl6_48 ),
inference(avatar_split_clause,[],[f1120,f551,f260,f1167]) ).
fof(f1167,plain,
( spl6_92
<=> sz00 = sdtasdt0(sz00,sdtpldt0(sz10,sdtasdt0(xm,xm))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_92])]) ).
fof(f1120,plain,
( sz00 = sdtasdt0(sz00,sdtpldt0(sz10,sdtasdt0(xm,xm)))
| ~ spl6_6
| ~ spl6_48 ),
inference(resolution,[],[f982,f553]) ).
fof(f1165,plain,
( spl6_91
| ~ spl6_4
| ~ spl6_52 ),
inference(avatar_split_clause,[],[f1072,f589,f250,f1162]) ).
fof(f1162,plain,
( spl6_91
<=> sz00 = sdtasdt0(sz00,sdtpldt0(xp,sdtasdt0(xn,xn))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_91])]) ).
fof(f1160,plain,
( spl6_90
| ~ spl6_4
| ~ spl6_48 ),
inference(avatar_split_clause,[],[f1071,f551,f250,f1157]) ).
fof(f1157,plain,
( spl6_90
<=> sz00 = sdtasdt0(sz00,sdtpldt0(xp,sdtasdt0(xm,xm))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_90])]) ).
fof(f1071,plain,
( sz00 = sdtasdt0(sz00,sdtpldt0(xp,sdtasdt0(xm,xm)))
| ~ spl6_4
| ~ spl6_48 ),
inference(resolution,[],[f989,f553]) ).
fof(f1155,plain,
( spl6_89
| ~ spl6_3
| ~ spl6_52 ),
inference(avatar_split_clause,[],[f1038,f589,f245,f1152]) ).
fof(f1152,plain,
( spl6_89
<=> sz00 = sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xn,xn))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_89])]) ).
fof(f1038,plain,
( sz00 = sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xn,xn)))
| ~ spl6_3
| ~ spl6_52 ),
inference(resolution,[],[f988,f591]) ).
fof(f1150,plain,
( spl6_88
| ~ spl6_3
| ~ spl6_48 ),
inference(avatar_split_clause,[],[f1037,f551,f245,f1147]) ).
fof(f1147,plain,
( spl6_88
<=> sz00 = sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xm,xm))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_88])]) ).
fof(f1037,plain,
( sz00 = sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xm,xm)))
| ~ spl6_3
| ~ spl6_48 ),
inference(resolution,[],[f988,f553]) ).
fof(f1145,plain,
( spl6_87
| ~ spl6_2
| ~ spl6_52 ),
inference(avatar_split_clause,[],[f999,f589,f240,f1142]) ).
fof(f1142,plain,
( spl6_87
<=> sz00 = sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xn,xn))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_87])]) ).
fof(f999,plain,
( sz00 = sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xn,xn)))
| ~ spl6_2
| ~ spl6_52 ),
inference(resolution,[],[f987,f591]) ).
fof(f1140,plain,
( spl6_86
| ~ spl6_2
| ~ spl6_48 ),
inference(avatar_split_clause,[],[f998,f551,f240,f1137]) ).
fof(f1137,plain,
( spl6_86
<=> sz00 = sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xm,xm))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_86])]) ).
fof(f998,plain,
( sz00 = sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xm,xm)))
| ~ spl6_2
| ~ spl6_48 ),
inference(resolution,[],[f987,f553]) ).
fof(f1134,plain,
( spl6_85
| ~ spl6_6 ),
inference(avatar_split_clause,[],[f1117,f260,f1131]) ).
fof(f1131,plain,
( spl6_85
<=> sz00 = sdtasdt0(sz00,sdtpldt0(sz10,sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_85])]) ).
fof(f1093,plain,
( spl6_84
| ~ spl6_4
| ~ spl6_6
| ~ spl6_71 ),
inference(avatar_split_clause,[],[f1081,f813,f260,f250,f1090]) ).
fof(f1090,plain,
( spl6_84
<=> sz00 = sdtasdt0(sz00,sdtpldt0(sz10,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_84])]) ).
fof(f1081,plain,
( sz00 = sdtasdt0(sz00,sdtpldt0(sz10,xp))
| ~ spl6_4
| ~ spl6_6
| ~ spl6_71 ),
inference(forward_demodulation,[],[f1068,f815]) ).
fof(f1068,plain,
( sz00 = sdtasdt0(sz00,sdtpldt0(xp,sz10))
| ~ spl6_4
| ~ spl6_6 ),
inference(resolution,[],[f989,f262]) ).
fof(f1088,plain,
( spl6_83
| ~ spl6_4 ),
inference(avatar_split_clause,[],[f1075,f250,f1085]) ).
fof(f1085,plain,
( spl6_83
<=> sz00 = sdtasdt0(sz00,sdtpldt0(xp,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_83])]) ).
fof(f1063,plain,
( spl6_82
| ~ spl6_3
| ~ spl6_6
| ~ spl6_69 ),
inference(avatar_split_clause,[],[f1047,f778,f260,f245,f1060]) ).
fof(f1060,plain,
( spl6_82
<=> sz00 = sdtasdt0(sz00,sdtpldt0(sz10,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_82])]) ).
fof(f1047,plain,
( sz00 = sdtasdt0(sz00,sdtpldt0(sz10,xm))
| ~ spl6_3
| ~ spl6_6
| ~ spl6_69 ),
inference(forward_demodulation,[],[f1034,f780]) ).
fof(f1034,plain,
( sz00 = sdtasdt0(sz00,sdtpldt0(xm,sz10))
| ~ spl6_3
| ~ spl6_6 ),
inference(resolution,[],[f988,f262]) ).
fof(f1058,plain,
( spl6_81
| ~ spl6_3
| ~ spl6_4 ),
inference(avatar_split_clause,[],[f1041,f250,f245,f1055]) ).
fof(f1055,plain,
( spl6_81
<=> sz00 = sdtasdt0(sz00,sdtpldt0(xm,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_81])]) ).
fof(f1041,plain,
( sz00 = sdtasdt0(sz00,sdtpldt0(xm,xp))
| ~ spl6_3
| ~ spl6_4 ),
inference(resolution,[],[f988,f252]) ).
fof(f1053,plain,
( spl6_80
| ~ spl6_3 ),
inference(avatar_split_clause,[],[f1040,f245,f1050]) ).
fof(f1050,plain,
( spl6_80
<=> sz00 = sdtasdt0(sz00,sdtpldt0(xm,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_80])]) ).
fof(f1040,plain,
( sz00 = sdtasdt0(sz00,sdtpldt0(xm,xm))
| ~ spl6_3 ),
inference(resolution,[],[f988,f247]) ).
fof(f1028,plain,
( spl6_79
| ~ spl6_2
| ~ spl6_6
| ~ spl6_66 ),
inference(avatar_split_clause,[],[f1008,f748,f260,f240,f1025]) ).
fof(f1025,plain,
( spl6_79
<=> sz00 = sdtasdt0(sz00,sdtpldt0(sz10,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_79])]) ).
fof(f1008,plain,
( sz00 = sdtasdt0(sz00,sdtpldt0(sz10,xn))
| ~ spl6_2
| ~ spl6_6
| ~ spl6_66 ),
inference(forward_demodulation,[],[f995,f750]) ).
fof(f995,plain,
( sz00 = sdtasdt0(sz00,sdtpldt0(xn,sz10))
| ~ spl6_2
| ~ spl6_6 ),
inference(resolution,[],[f987,f262]) ).
fof(f1023,plain,
( spl6_78
| ~ spl6_2
| ~ spl6_4 ),
inference(avatar_split_clause,[],[f1002,f250,f240,f1020]) ).
fof(f1020,plain,
( spl6_78
<=> sz00 = sdtasdt0(sz00,sdtpldt0(xn,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_78])]) ).
fof(f1018,plain,
( spl6_77
| ~ spl6_2
| ~ spl6_3 ),
inference(avatar_split_clause,[],[f1001,f245,f240,f1015]) ).
fof(f1015,plain,
( spl6_77
<=> sz00 = sdtasdt0(sz00,sdtpldt0(xn,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_77])]) ).
fof(f1001,plain,
( sz00 = sdtasdt0(sz00,sdtpldt0(xn,xm))
| ~ spl6_2
| ~ spl6_3 ),
inference(resolution,[],[f987,f247]) ).
fof(f1013,plain,
( spl6_76
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f1000,f240,f1010]) ).
fof(f1010,plain,
( spl6_76
<=> sz00 = sdtasdt0(sz00,sdtpldt0(xn,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_76])]) ).
fof(f961,plain,
( spl6_75
| ~ spl6_4
| ~ spl6_46
| ~ spl6_48 ),
inference(avatar_split_clause,[],[f889,f551,f540,f250,f958]) ).
fof(f889,plain,
( sdtasdt0(xn,xn) = sdtasdt0(sdtasdt0(xm,xm),xp)
| ~ spl6_4
| ~ spl6_46
| ~ spl6_48 ),
inference(forward_demodulation,[],[f879,f542]) ).
fof(f879,plain,
( sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(sdtasdt0(xm,xm),xp)
| ~ spl6_4
| ~ spl6_48 ),
inference(resolution,[],[f796,f553]) ).
fof(f860,plain,
( spl6_74
| ~ spl6_3
| ~ spl6_4 ),
inference(avatar_split_clause,[],[f851,f250,f245,f857]) ).
fof(f851,plain,
( sdtasdt0(xp,xm) = sdtasdt0(xm,xp)
| ~ spl6_3
| ~ spl6_4 ),
inference(resolution,[],[f795,f252]) ).
fof(f840,plain,
( spl6_73
| ~ spl6_2
| ~ spl6_4 ),
inference(avatar_split_clause,[],[f826,f250,f240,f837]) ).
fof(f835,plain,
( spl6_72
| ~ spl6_2
| ~ spl6_3 ),
inference(avatar_split_clause,[],[f825,f245,f240,f832]) ).
fof(f825,plain,
( sdtasdt0(xm,xn) = sdtasdt0(xn,xm)
| ~ spl6_2
| ~ spl6_3 ),
inference(resolution,[],[f794,f247]) ).
fof(f816,plain,
( spl6_71
| ~ spl6_4
| ~ spl6_6 ),
inference(avatar_split_clause,[],[f801,f260,f250,f813]) ).
fof(f786,plain,
( spl6_70
| ~ spl6_3
| ~ spl6_4 ),
inference(avatar_split_clause,[],[f773,f250,f245,f783]) ).
fof(f773,plain,
( sdtpldt0(xp,xm) = sdtpldt0(xm,xp)
| ~ spl6_3
| ~ spl6_4 ),
inference(resolution,[],[f731,f252]) ).
fof(f781,plain,
( spl6_69
| ~ spl6_3
| ~ spl6_6 ),
inference(avatar_split_clause,[],[f766,f260,f245,f778]) ).
fof(f766,plain,
( sdtpldt0(sz10,xm) = sdtpldt0(xm,sz10)
| ~ spl6_3
| ~ spl6_6 ),
inference(resolution,[],[f731,f262]) ).
fof(f761,plain,
( spl6_68
| ~ spl6_2
| ~ spl6_4 ),
inference(avatar_split_clause,[],[f743,f250,f240,f758]) ).
fof(f756,plain,
( spl6_67
| ~ spl6_2
| ~ spl6_3 ),
inference(avatar_split_clause,[],[f742,f245,f240,f753]) ).
fof(f742,plain,
( sdtpldt0(xm,xn) = sdtpldt0(xn,xm)
| ~ spl6_2
| ~ spl6_3 ),
inference(resolution,[],[f730,f247]) ).
fof(f751,plain,
( spl6_66
| ~ spl6_2
| ~ spl6_6 ),
inference(avatar_split_clause,[],[f736,f260,f240,f748]) ).
fof(f708,plain,
( spl6_53
| ~ spl6_2
| ~ spl6_3
| spl6_13 ),
inference(avatar_split_clause,[],[f706,f294,f245,f240,f594]) ).
fof(f706,plain,
( sdtlseqdt0(xn,xm)
| ~ spl6_2
| ~ spl6_3
| spl6_13 ),
inference(subsumption_resolution,[],[f705,f242]) ).
fof(f705,plain,
( sdtlseqdt0(xn,xm)
| ~ aNaturalNumber0(xn)
| ~ spl6_3
| spl6_13 ),
inference(subsumption_resolution,[],[f675,f247]) ).
fof(f675,plain,
( sdtlseqdt0(xn,xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| spl6_13 ),
inference(resolution,[],[f192,f296]) ).
fof(f707,plain,
( spl6_53
| ~ spl6_2
| ~ spl6_3
| spl6_13 ),
inference(avatar_split_clause,[],[f704,f294,f245,f240,f594]) ).
fof(f704,plain,
( sdtlseqdt0(xn,xm)
| ~ spl6_2
| ~ spl6_3
| spl6_13 ),
inference(subsumption_resolution,[],[f703,f247]) ).
fof(f703,plain,
( sdtlseqdt0(xn,xm)
| ~ aNaturalNumber0(xm)
| ~ spl6_2
| spl6_13 ),
inference(subsumption_resolution,[],[f678,f242]) ).
fof(f678,plain,
( sdtlseqdt0(xn,xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| spl6_13 ),
inference(resolution,[],[f192,f296]) ).
fof(f700,plain,
( ~ spl6_2
| ~ spl6_3
| spl6_13
| spl6_53 ),
inference(avatar_contradiction_clause,[],[f699]) ).
fof(f699,plain,
( $false
| ~ spl6_2
| ~ spl6_3
| spl6_13
| spl6_53 ),
inference(subsumption_resolution,[],[f698,f242]) ).
fof(f698,plain,
( ~ aNaturalNumber0(xn)
| ~ spl6_3
| spl6_13
| spl6_53 ),
inference(subsumption_resolution,[],[f697,f247]) ).
fof(f697,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| spl6_13
| spl6_53 ),
inference(subsumption_resolution,[],[f679,f296]) ).
fof(f679,plain,
( sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| spl6_53 ),
inference(resolution,[],[f192,f596]) ).
fof(f596,plain,
( ~ sdtlseqdt0(xn,xm)
| spl6_53 ),
inference(avatar_component_clause,[],[f594]) ).
fof(f696,plain,
( ~ spl6_2
| ~ spl6_3
| spl6_13
| spl6_53 ),
inference(avatar_contradiction_clause,[],[f695]) ).
fof(f695,plain,
( $false
| ~ spl6_2
| ~ spl6_3
| spl6_13
| spl6_53 ),
inference(subsumption_resolution,[],[f694,f247]) ).
fof(f694,plain,
( ~ aNaturalNumber0(xm)
| ~ spl6_2
| spl6_13
| spl6_53 ),
inference(subsumption_resolution,[],[f693,f242]) ).
fof(f693,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| spl6_13
| spl6_53 ),
inference(subsumption_resolution,[],[f678,f596]) ).
fof(f690,plain,
( ~ spl6_2
| ~ spl6_3
| spl6_13
| spl6_53 ),
inference(avatar_contradiction_clause,[],[f689]) ).
fof(f689,plain,
( $false
| ~ spl6_2
| ~ spl6_3
| spl6_13
| spl6_53 ),
inference(subsumption_resolution,[],[f688,f247]) ).
fof(f688,plain,
( ~ aNaturalNumber0(xm)
| ~ spl6_2
| spl6_13
| spl6_53 ),
inference(subsumption_resolution,[],[f687,f242]) ).
fof(f687,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| spl6_13
| spl6_53 ),
inference(subsumption_resolution,[],[f676,f296]) ).
fof(f676,plain,
( sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| spl6_53 ),
inference(resolution,[],[f192,f596]) ).
fof(f686,plain,
( ~ spl6_2
| ~ spl6_3
| spl6_13
| spl6_53 ),
inference(avatar_contradiction_clause,[],[f685]) ).
fof(f685,plain,
( $false
| ~ spl6_2
| ~ spl6_3
| spl6_13
| spl6_53 ),
inference(subsumption_resolution,[],[f684,f242]) ).
fof(f684,plain,
( ~ aNaturalNumber0(xn)
| ~ spl6_3
| spl6_13
| spl6_53 ),
inference(subsumption_resolution,[],[f683,f247]) ).
fof(f683,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| spl6_13
| spl6_53 ),
inference(subsumption_resolution,[],[f675,f596]) ).
fof(f669,plain,
( spl6_65
| ~ spl6_52 ),
inference(avatar_split_clause,[],[f605,f589,f666]) ).
fof(f664,plain,
( spl6_64
| ~ spl6_52 ),
inference(avatar_split_clause,[],[f604,f589,f661]) ).
fof(f659,plain,
( spl6_63
| ~ spl6_52 ),
inference(avatar_split_clause,[],[f603,f589,f656]) ).
fof(f654,plain,
( spl6_62
| ~ spl6_52 ),
inference(avatar_split_clause,[],[f602,f589,f651]) ).
fof(f649,plain,
( ~ spl6_61
| ~ spl6_48
| ~ spl6_52
| spl6_54 ),
inference(avatar_split_clause,[],[f644,f598,f589,f551,f646]) ).
fof(f644,plain,
( sdtasdt0(xm,xm) != sdtasdt0(xn,xn)
| ~ spl6_48
| ~ spl6_52
| spl6_54 ),
inference(subsumption_resolution,[],[f643,f591]) ).
fof(f643,plain,
( sdtasdt0(xm,xm) != sdtasdt0(xn,xn)
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ spl6_48
| spl6_54 ),
inference(subsumption_resolution,[],[f642,f553]) ).
fof(f642,plain,
( sdtasdt0(xm,xm) != sdtasdt0(xn,xn)
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| spl6_54 ),
inference(resolution,[],[f191,f599]) ).
fof(f599,plain,
( ~ sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm))
| spl6_54 ),
inference(avatar_component_clause,[],[f598]) ).
fof(f639,plain,
( spl6_60
| ~ spl6_48 ),
inference(avatar_split_clause,[],[f572,f551,f636]) ).
fof(f636,plain,
( spl6_60
<=> sdtasdt0(xm,xm) = sdtpldt0(sdtasdt0(xm,xm),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_60])]) ).
fof(f572,plain,
( sdtasdt0(xm,xm) = sdtpldt0(sdtasdt0(xm,xm),sz00)
| ~ spl6_48 ),
inference(resolution,[],[f553,f166]) ).
fof(f634,plain,
( spl6_59
| ~ spl6_48 ),
inference(avatar_split_clause,[],[f571,f551,f631]) ).
fof(f571,plain,
( sdtasdt0(xm,xm) = sdtpldt0(sz00,sdtasdt0(xm,xm))
| ~ spl6_48 ),
inference(resolution,[],[f553,f167]) ).
fof(f629,plain,
( spl6_58
| ~ spl6_48 ),
inference(avatar_split_clause,[],[f570,f551,f626]) ).
fof(f570,plain,
( sdtasdt0(xm,xm) = sdtasdt0(sdtasdt0(xm,xm),sz10)
| ~ spl6_48 ),
inference(resolution,[],[f553,f168]) ).
fof(f624,plain,
( spl6_57
| ~ spl6_48 ),
inference(avatar_split_clause,[],[f569,f551,f621]) ).
fof(f569,plain,
( sdtasdt0(xm,xm) = sdtasdt0(sz10,sdtasdt0(xm,xm))
| ~ spl6_48 ),
inference(resolution,[],[f553,f169]) ).
fof(f617,plain,
( spl6_56
| ~ spl6_52 ),
inference(avatar_split_clause,[],[f607,f589,f614]) ).
fof(f612,plain,
( spl6_55
| ~ spl6_52 ),
inference(avatar_split_clause,[],[f606,f589,f609]) ).
fof(f609,plain,
( spl6_55
<=> sz00 = sdtasdt0(sz00,sdtasdt0(xn,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_55])]) ).
fof(f601,plain,
( ~ spl6_53
| spl6_54 ),
inference(avatar_split_clause,[],[f158,f598,f594]) ).
fof(f592,plain,
( spl6_52
| ~ spl6_4
| ~ spl6_46
| ~ spl6_48 ),
inference(avatar_split_clause,[],[f587,f551,f540,f250,f589]) ).
fof(f587,plain,
( aNaturalNumber0(sdtasdt0(xn,xn))
| ~ spl6_4
| ~ spl6_46
| ~ spl6_48 ),
inference(subsumption_resolution,[],[f556,f553]) ).
fof(f556,plain,
( aNaturalNumber0(sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ~ spl6_4
| ~ spl6_46 ),
inference(subsumption_resolution,[],[f555,f252]) ).
fof(f555,plain,
( aNaturalNumber0(sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ~ aNaturalNumber0(xp)
| ~ spl6_46 ),
inference(superposition,[],[f188,f542]) ).
fof(f584,plain,
( spl6_51
| ~ spl6_48 ),
inference(avatar_split_clause,[],[f574,f551,f581]) ).
fof(f574,plain,
( sz00 = sdtasdt0(sdtasdt0(xm,xm),sz00)
| ~ spl6_48 ),
inference(resolution,[],[f553,f164]) ).
fof(f579,plain,
( spl6_50
| ~ spl6_48 ),
inference(avatar_split_clause,[],[f573,f551,f576]) ).
fof(f576,plain,
( spl6_50
<=> sz00 = sdtasdt0(sz00,sdtasdt0(xm,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_50])]) ).
fof(f573,plain,
( sz00 = sdtasdt0(sz00,sdtasdt0(xm,xm))
| ~ spl6_48 ),
inference(resolution,[],[f553,f165]) ).
fof(f568,plain,
( ~ spl6_3
| spl6_48 ),
inference(avatar_contradiction_clause,[],[f567]) ).
fof(f567,plain,
( $false
| ~ spl6_3
| spl6_48 ),
inference(subsumption_resolution,[],[f566,f247]) ).
fof(f566,plain,
( ~ aNaturalNumber0(xm)
| spl6_48 ),
inference(duplicate_literal_removal,[],[f565]) ).
fof(f565,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xm)
| spl6_48 ),
inference(resolution,[],[f552,f188]) ).
fof(f552,plain,
( ~ aNaturalNumber0(sdtasdt0(xm,xm))
| spl6_48 ),
inference(avatar_component_clause,[],[f551]) ).
fof(f564,plain,
( ~ spl6_49
| spl6_47 ),
inference(avatar_split_clause,[],[f559,f547,f561]) ).
fof(f559,plain,
( ~ aNaturalNumber0(xq)
| spl6_47 ),
inference(duplicate_literal_removal,[],[f558]) ).
fof(f558,plain,
( ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xq)
| spl6_47 ),
inference(resolution,[],[f549,f188]) ).
fof(f549,plain,
( ~ aNaturalNumber0(sdtasdt0(xq,xq))
| spl6_47 ),
inference(avatar_component_clause,[],[f547]) ).
fof(f554,plain,
( ~ spl6_47
| spl6_48
| ~ spl6_4
| ~ spl6_45 ),
inference(avatar_split_clause,[],[f545,f535,f250,f551,f547]) ).
fof(f545,plain,
( aNaturalNumber0(sdtasdt0(xm,xm))
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ spl6_4
| ~ spl6_45 ),
inference(subsumption_resolution,[],[f544,f252]) ).
fof(f544,plain,
( aNaturalNumber0(sdtasdt0(xm,xm))
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ aNaturalNumber0(xp)
| ~ spl6_45 ),
inference(superposition,[],[f188,f537]) ).
fof(f543,plain,
spl6_46,
inference(avatar_split_clause,[],[f149,f540]) ).
fof(f538,plain,
spl6_45,
inference(avatar_split_clause,[],[f148,f535]) ).
fof(f509,plain,
( spl6_44
| ~ spl6_4 ),
inference(avatar_split_clause,[],[f478,f250,f506]) ).
fof(f504,plain,
( spl6_43
| ~ spl6_3 ),
inference(avatar_split_clause,[],[f477,f245,f501]) ).
fof(f477,plain,
( xm = sdtasdt0(sz10,xm)
| ~ spl6_3 ),
inference(resolution,[],[f169,f247]) ).
fof(f499,plain,
( spl6_42
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f476,f240,f496]) ).
fof(f473,plain,
( spl6_41
| ~ spl6_6 ),
inference(avatar_split_clause,[],[f450,f260,f470]) ).
fof(f468,plain,
( spl6_40
| ~ spl6_4 ),
inference(avatar_split_clause,[],[f453,f250,f465]) ).
fof(f463,plain,
( spl6_39
| ~ spl6_3 ),
inference(avatar_split_clause,[],[f452,f245,f460]) ).
fof(f452,plain,
( xm = sdtasdt0(xm,sz10)
| ~ spl6_3 ),
inference(resolution,[],[f168,f247]) ).
fof(f458,plain,
( spl6_38
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f451,f240,f455]) ).
fof(f448,plain,
( spl6_37
| ~ spl6_6 ),
inference(avatar_split_clause,[],[f420,f260,f445]) ).
fof(f443,plain,
( spl6_36
| ~ spl6_6 ),
inference(avatar_split_clause,[],[f389,f260,f440]) ).
fof(f438,plain,
( spl6_35
| ~ spl6_4 ),
inference(avatar_split_clause,[],[f423,f250,f435]) ).
fof(f433,plain,
( spl6_34
| ~ spl6_3 ),
inference(avatar_split_clause,[],[f422,f245,f430]) ).
fof(f430,plain,
( spl6_34
<=> xm = sdtpldt0(sz00,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_34])]) ).
fof(f422,plain,
( xm = sdtpldt0(sz00,xm)
| ~ spl6_3 ),
inference(resolution,[],[f167,f247]) ).
fof(f428,plain,
( spl6_33
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f421,f240,f425]) ).
fof(f425,plain,
( spl6_33
<=> xn = sdtpldt0(sz00,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_33])]) ).
fof(f418,plain,
( spl6_32
| ~ spl6_5 ),
inference(avatar_split_clause,[],[f388,f255,f415]) ).
fof(f388,plain,
( sz00 = sdtpldt0(sz00,sz00)
| ~ spl6_5 ),
inference(resolution,[],[f166,f257]) ).
fof(f413,plain,
( spl6_31
| ~ spl6_6 ),
inference(avatar_split_clause,[],[f359,f260,f410]) ).
fof(f410,plain,
( spl6_31
<=> sz00 = sdtasdt0(sz00,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_31])]) ).
fof(f408,plain,
( spl6_26
| ~ spl6_5 ),
inference(avatar_split_clause,[],[f358,f255,f379]) ).
fof(f379,plain,
( spl6_26
<=> sz00 = sdtasdt0(sz00,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_26])]) ).
fof(f358,plain,
( sz00 = sdtasdt0(sz00,sz00)
| ~ spl6_5 ),
inference(resolution,[],[f165,f257]) ).
fof(f407,plain,
( spl6_30
| ~ spl6_4 ),
inference(avatar_split_clause,[],[f392,f250,f404]) ).
fof(f402,plain,
( spl6_29
| ~ spl6_3 ),
inference(avatar_split_clause,[],[f391,f245,f399]) ).
fof(f391,plain,
( xm = sdtpldt0(xm,sz00)
| ~ spl6_3 ),
inference(resolution,[],[f166,f247]) ).
fof(f397,plain,
( spl6_28
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f390,f240,f394]) ).
fof(f387,plain,
( spl6_27
| ~ spl6_6 ),
inference(avatar_split_clause,[],[f339,f260,f384]) ).
fof(f384,plain,
( spl6_27
<=> sz00 = sdtasdt0(sz10,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_27])]) ).
fof(f382,plain,
( spl6_26
| ~ spl6_5 ),
inference(avatar_split_clause,[],[f338,f255,f379]) ).
fof(f338,plain,
( sz00 = sdtasdt0(sz00,sz00)
| ~ spl6_5 ),
inference(resolution,[],[f164,f257]) ).
fof(f377,plain,
( spl6_25
| ~ spl6_4 ),
inference(avatar_split_clause,[],[f362,f250,f374]) ).
fof(f372,plain,
( spl6_24
| ~ spl6_3 ),
inference(avatar_split_clause,[],[f361,f245,f369]) ).
fof(f361,plain,
( sz00 = sdtasdt0(sz00,xm)
| ~ spl6_3 ),
inference(resolution,[],[f165,f247]) ).
fof(f367,plain,
( spl6_23
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f360,f240,f364]) ).
fof(f357,plain,
( spl6_22
| ~ spl6_4 ),
inference(avatar_split_clause,[],[f342,f250,f354]) ).
fof(f354,plain,
( spl6_22
<=> sz00 = sdtasdt0(xp,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_22])]) ).
fof(f352,plain,
( spl6_21
| ~ spl6_3 ),
inference(avatar_split_clause,[],[f341,f245,f349]) ).
fof(f349,plain,
( spl6_21
<=> sz00 = sdtasdt0(xm,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_21])]) ).
fof(f341,plain,
( sz00 = sdtasdt0(xm,sz00)
| ~ spl6_3 ),
inference(resolution,[],[f164,f247]) ).
fof(f347,plain,
( spl6_20
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f340,f240,f344]) ).
fof(f344,plain,
( spl6_20
<=> sz00 = sdtasdt0(xn,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_20])]) ).
fof(f335,plain,
( ~ spl6_19
| ~ spl6_6
| spl6_17 ),
inference(avatar_split_clause,[],[f325,f316,f260,f332]) ).
fof(f332,plain,
( spl6_19
<=> isPrime0(sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_19])]) ).
fof(f316,plain,
( spl6_17
<=> sP0(sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_17])]) ).
fof(f325,plain,
( ~ isPrime0(sz10)
| ~ spl6_6
| spl6_17 ),
inference(subsumption_resolution,[],[f323,f262]) ).
fof(f323,plain,
( ~ isPrime0(sz10)
| ~ aNaturalNumber0(sz10)
| spl6_17 ),
inference(resolution,[],[f320,f318]) ).
fof(f318,plain,
( ~ sP0(sz10)
| spl6_17 ),
inference(avatar_component_clause,[],[f316]) ).
fof(f330,plain,
( ~ spl6_18
| ~ spl6_5
| spl6_16 ),
inference(avatar_split_clause,[],[f324,f310,f255,f327]) ).
fof(f327,plain,
( spl6_18
<=> isPrime0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_18])]) ).
fof(f310,plain,
( spl6_16
<=> sP0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_16])]) ).
fof(f324,plain,
( ~ isPrime0(sz00)
| ~ spl6_5
| spl6_16 ),
inference(subsumption_resolution,[],[f322,f257]) ).
fof(f322,plain,
( ~ isPrime0(sz00)
| ~ aNaturalNumber0(sz00)
| spl6_16 ),
inference(resolution,[],[f320,f312]) ).
fof(f312,plain,
( ~ sP0(sz00)
| spl6_16 ),
inference(avatar_component_clause,[],[f310]) ).
fof(f319,plain,
~ spl6_17,
inference(avatar_split_clause,[],[f314,f316]) ).
fof(f313,plain,
~ spl6_16,
inference(avatar_split_clause,[],[f308,f310]) ).
fof(f307,plain,
spl6_15,
inference(avatar_split_clause,[],[f156,f304]) ).
fof(f302,plain,
spl6_14,
inference(avatar_split_clause,[],[f147,f299]) ).
fof(f297,plain,
( spl6_12
| ~ spl6_13 ),
inference(avatar_split_clause,[],[f145,f294,f290]) ).
fof(f290,plain,
( spl6_12
<=> xn = xm ),
introduced(avatar_definition,[new_symbols(naming,[spl6_12])]) ).
fof(f288,plain,
~ spl6_11,
inference(avatar_split_clause,[],[f162,f285]) ).
fof(f283,plain,
spl6_10,
inference(avatar_split_clause,[],[f157,f280]) ).
fof(f278,plain,
~ spl6_9,
inference(avatar_split_clause,[],[f155,f275]) ).
fof(f273,plain,
~ spl6_8,
inference(avatar_split_clause,[],[f154,f270]) ).
fof(f268,plain,
~ spl6_7,
inference(avatar_split_clause,[],[f153,f265]) ).
fof(f263,plain,
spl6_6,
inference(avatar_split_clause,[],[f161,f260]) ).
fof(f258,plain,
spl6_5,
inference(avatar_split_clause,[],[f160,f255]) ).
fof(f253,plain,
spl6_4,
inference(avatar_split_clause,[],[f152,f250]) ).
fof(f248,plain,
spl6_3,
inference(avatar_split_clause,[],[f151,f245]) ).
fof(f243,plain,
spl6_2,
inference(avatar_split_clause,[],[f150,f240]) ).
fof(f238,plain,
spl6_1,
inference(avatar_split_clause,[],[f146,f235]) ).
fof(f235,plain,
( spl6_1
<=> isPrime0(xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : NUM528+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n019.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 15:06:12 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.42 % (3491)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (3492)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.22/0.42 % (3495)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.22/0.42 % (3493)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.22/0.42 % (3496)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)
% 0.22/0.42 % (3497)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)
% 0.22/0.42 % (3498)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 % (3494)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 TRYING [1]
% 0.22/0.43 TRYING [1]
% 0.22/0.43 TRYING [2]
% 0.22/0.43 TRYING [2]
% 0.22/0.43 TRYING [3]
% 0.22/0.43 TRYING [3]
% 0.22/0.44 TRYING [4]
% 0.22/0.45 TRYING [4]
% 0.22/0.51 TRYING [5]
% 0.22/0.53 TRYING [5]
% 0.22/0.65 TRYING [6]
% 0.22/0.66 TRYING [6]
% 3.69/0.96 TRYING [7]
% 4.05/0.97 TRYING [7]
% 6.92/1.38 % (3494)First to succeed.
% 6.92/1.40 % (3494)Refutation found. Thanks to Tanya!
% 6.92/1.40 % SZS status Theorem for Vampire---4
% 6.92/1.40 % SZS output start Proof for Vampire---4
% See solution above
% 6.92/1.41 % (3494)------------------------------
% 6.92/1.41 % (3494)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 6.92/1.41 % (3494)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 6.92/1.41 % (3494)Termination reason: Refutation
% 6.92/1.41
% 6.92/1.41 % (3494)Memory used [KB]: 13816
% 6.92/1.41 % (3494)Time elapsed: 0.971 s
% 6.92/1.41 % (3494)------------------------------
% 6.92/1.41 % (3494)------------------------------
% 6.92/1.41 % (3491)Success in time 1.024 s
% 6.92/1.41 % Vampire---4.8 exiting
%------------------------------------------------------------------------------