TSTP Solution File: NUM505+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM505+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 14:28:57 EDT 2024
% Result : Theorem 0.21s 0.50s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 307
% Syntax : Number of formulae : 988 ( 116 unt; 0 def)
% Number of atoms : 3759 ( 771 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 4832 (2061 ~;2240 |; 195 &)
% ( 271 <=>; 65 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 263 ( 261 usr; 255 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-2 aty)
% Number of variables : 939 ( 919 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3991,plain,
$false,
inference(avatar_sat_refutation,[],[f257,f266,f271,f276,f281,f286,f291,f296,f301,f306,f311,f316,f321,f326,f331,f336,f341,f346,f351,f356,f361,f366,f371,f375,f386,f391,f395,f399,f404,f408,f413,f417,f421,f425,f429,f433,f438,f442,f482,f486,f498,f509,f523,f527,f531,f535,f539,f543,f547,f552,f556,f560,f625,f629,f633,f637,f641,f645,f649,f654,f658,f662,f666,f670,f674,f680,f730,f734,f738,f744,f796,f800,f804,f833,f837,f845,f849,f853,f857,f861,f918,f922,f926,f930,f934,f939,f943,f989,f1001,f1006,f1010,f1024,f1028,f1045,f1054,f1059,f1064,f1069,f1074,f1079,f1084,f1089,f1094,f1099,f1108,f1113,f1118,f1123,f1128,f1133,f1138,f1143,f1148,f1153,f1158,f1163,f1168,f1173,f1178,f1431,f1540,f1545,f1550,f1555,f1560,f1565,f1570,f1702,f1706,f1748,f1752,f1756,f1760,f1765,f1769,f1773,f1777,f1781,f1909,f1913,f1917,f1921,f1925,f1929,f1968,f2047,f2052,f2057,f2062,f2085,f2108,f2131,f2154,f2158,f2162,f2166,f2170,f2174,f2178,f2182,f2186,f2190,f2260,f2272,f2276,f2287,f2291,f2295,f2299,f2303,f2307,f2311,f2315,f2319,f2323,f2327,f2410,f2485,f2489,f2493,f2508,f2512,f2516,f2520,f2524,f2528,f2532,f2536,f2540,f2544,f2549,f2553,f2780,f2784,f2788,f2792,f2796,f2800,f2805,f2809,f2813,f2965,f2969,f2973,f2977,f2981,f2985,f2989,f2993,f2997,f3001,f3006,f3010,f3014,f3018,f3022,f3026,f3273,f3286,f3296,f3300,f3304,f3308,f3312,f3316,f3328,f3332,f3336,f3340,f3344,f3348,f3417,f3504,f3543,f3677,f3720,f3726,f3732,f3848,f3954,f3959,f3964,f3969,f3974,f3979,f3984,f3989,f3990]) ).
fof(f3990,plain,
( spl6_247
| ~ spl6_2
| ~ spl6_3 ),
inference(avatar_split_clause,[],[f3585,f263,f259,f3951]) ).
fof(f3951,plain,
( spl6_247
<=> sdtlseqdt0(xk,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_247])]) ).
fof(f259,plain,
( spl6_2
<=> xp = xk ),
introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).
fof(f263,plain,
( spl6_3
<=> sdtlseqdt0(xk,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_3])]) ).
fof(f3585,plain,
( sdtlseqdt0(xk,xk)
| ~ spl6_2
| ~ spl6_3 ),
inference(superposition,[],[f264,f261]) ).
fof(f261,plain,
( xp = xk
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f264,plain,
( sdtlseqdt0(xk,xp)
| ~ spl6_3 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f3989,plain,
( spl6_254
| ~ spl6_2
| ~ spl6_20 ),
inference(avatar_split_clause,[],[f3552,f348,f259,f3986]) ).
fof(f3986,plain,
( spl6_254
<=> sdtlseqdt0(xm,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_254])]) ).
fof(f348,plain,
( spl6_20
<=> sdtlseqdt0(xm,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_20])]) ).
fof(f3552,plain,
( sdtlseqdt0(xm,xk)
| ~ spl6_2
| ~ spl6_20 ),
inference(superposition,[],[f350,f261]) ).
fof(f350,plain,
( sdtlseqdt0(xm,xp)
| ~ spl6_20 ),
inference(avatar_component_clause,[],[f348]) ).
fof(f3984,plain,
( spl6_253
| ~ spl6_25
| ~ spl6_51 ),
inference(avatar_split_clause,[],[f3602,f549,f373,f3981]) ).
fof(f3981,plain,
( spl6_253
<=> sP1(xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_253])]) ).
fof(f373,plain,
( spl6_25
<=> ! [X0] :
( sP1(X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_25])]) ).
fof(f549,plain,
( spl6_51
<=> aNaturalNumber0(xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_51])]) ).
fof(f3602,plain,
( sP1(xk)
| ~ spl6_25
| ~ spl6_51 ),
inference(resolution,[],[f550,f374]) ).
fof(f374,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sP1(X0) )
| ~ spl6_25 ),
inference(avatar_component_clause,[],[f373]) ).
fof(f550,plain,
( aNaturalNumber0(xk)
| ~ spl6_51 ),
inference(avatar_component_clause,[],[f549]) ).
fof(f3979,plain,
( ~ spl6_252
| ~ spl6_2
| spl6_19 ),
inference(avatar_split_clause,[],[f3551,f343,f259,f3976]) ).
fof(f3976,plain,
( spl6_252
<=> xm = xk ),
introduced(avatar_definition,[new_symbols(naming,[spl6_252])]) ).
fof(f343,plain,
( spl6_19
<=> xm = xp ),
introduced(avatar_definition,[new_symbols(naming,[spl6_19])]) ).
fof(f3551,plain,
( xm != xk
| ~ spl6_2
| spl6_19 ),
inference(superposition,[],[f345,f261]) ).
fof(f345,plain,
( xm != xp
| spl6_19 ),
inference(avatar_component_clause,[],[f343]) ).
fof(f3974,plain,
( spl6_251
| ~ spl6_2
| ~ spl6_18 ),
inference(avatar_split_clause,[],[f3550,f338,f259,f3971]) ).
fof(f3971,plain,
( spl6_251
<=> sdtlseqdt0(xn,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_251])]) ).
fof(f338,plain,
( spl6_18
<=> sdtlseqdt0(xn,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_18])]) ).
fof(f3550,plain,
( sdtlseqdt0(xn,xk)
| ~ spl6_2
| ~ spl6_18 ),
inference(superposition,[],[f340,f261]) ).
fof(f340,plain,
( sdtlseqdt0(xn,xp)
| ~ spl6_18 ),
inference(avatar_component_clause,[],[f338]) ).
fof(f3969,plain,
( ~ spl6_250
| ~ spl6_2
| spl6_17 ),
inference(avatar_split_clause,[],[f3549,f333,f259,f3966]) ).
fof(f3966,plain,
( spl6_250
<=> xn = xk ),
introduced(avatar_definition,[new_symbols(naming,[spl6_250])]) ).
fof(f333,plain,
( spl6_17
<=> xn = xp ),
introduced(avatar_definition,[new_symbols(naming,[spl6_17])]) ).
fof(f3549,plain,
( xn != xk
| ~ spl6_2
| spl6_17 ),
inference(superposition,[],[f335,f261]) ).
fof(f335,plain,
( xn != xp
| spl6_17 ),
inference(avatar_component_clause,[],[f333]) ).
fof(f3964,plain,
( ~ spl6_249
| ~ spl6_2
| spl6_15 ),
inference(avatar_split_clause,[],[f3548,f323,f259,f3961]) ).
fof(f3961,plain,
( spl6_249
<=> sdtlseqdt0(xk,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_249])]) ).
fof(f323,plain,
( spl6_15
<=> sdtlseqdt0(xp,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_15])]) ).
fof(f3548,plain,
( ~ sdtlseqdt0(xk,xn)
| ~ spl6_2
| spl6_15 ),
inference(superposition,[],[f325,f261]) ).
fof(f325,plain,
( ~ sdtlseqdt0(xp,xn)
| spl6_15 ),
inference(avatar_component_clause,[],[f323]) ).
fof(f3959,plain,
( ~ spl6_248
| ~ spl6_2
| spl6_14 ),
inference(avatar_split_clause,[],[f3547,f318,f259,f3956]) ).
fof(f3956,plain,
( spl6_248
<=> sdtlseqdt0(xk,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_248])]) ).
fof(f318,plain,
( spl6_14
<=> sdtlseqdt0(xp,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_14])]) ).
fof(f3547,plain,
( ~ sdtlseqdt0(xk,xm)
| ~ spl6_2
| spl6_14 ),
inference(superposition,[],[f320,f261]) ).
fof(f320,plain,
( ~ sdtlseqdt0(xp,xm)
| spl6_14 ),
inference(avatar_component_clause,[],[f318]) ).
fof(f3954,plain,
( ~ spl6_247
| spl6_1
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f3544,f259,f254,f3951]) ).
fof(f254,plain,
( spl6_1
<=> sdtlseqdt0(xp,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).
fof(f3544,plain,
( ~ sdtlseqdt0(xk,xk)
| spl6_1
| ~ spl6_2 ),
inference(superposition,[],[f256,f261]) ).
fof(f256,plain,
( ~ sdtlseqdt0(xp,xk)
| spl6_1 ),
inference(avatar_component_clause,[],[f254]) ).
fof(f3848,plain,
( ~ spl6_137
| spl6_13
| ~ spl6_242 ),
inference(avatar_split_clause,[],[f3686,f3540,f313,f1762]) ).
fof(f1762,plain,
( spl6_137
<=> sP0(xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_137])]) ).
fof(f313,plain,
( spl6_13
<=> sP0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_13])]) ).
fof(f3540,plain,
( spl6_242
<=> sz00 = xp ),
introduced(avatar_definition,[new_symbols(naming,[spl6_242])]) ).
fof(f3686,plain,
( ~ sP0(xp)
| spl6_13
| ~ spl6_242 ),
inference(superposition,[],[f315,f3542]) ).
fof(f3542,plain,
( sz00 = xp
| ~ spl6_242 ),
inference(avatar_component_clause,[],[f3540]) ).
fof(f315,plain,
( ~ sP0(sz00)
| spl6_13 ),
inference(avatar_component_clause,[],[f313]) ).
fof(f3732,plain,
( spl6_246
| ~ spl6_228
| ~ spl6_242
| ~ spl6_245 ),
inference(avatar_split_clause,[],[f3728,f3724,f3540,f3283,f3730]) ).
fof(f3730,plain,
( spl6_246
<=> ! [X0] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_246])]) ).
fof(f3283,plain,
( spl6_228
<=> sz00 = sdtasdt0(xn,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_228])]) ).
fof(f3724,plain,
( spl6_245
<=> ! [X0] :
( doDivides0(X0,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_245])]) ).
fof(f3728,plain,
( ! [X0] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr) )
| ~ spl6_228
| ~ spl6_242
| ~ spl6_245 ),
inference(forward_demodulation,[],[f3727,f3542]) ).
fof(f3727,plain,
( ! [X0] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr) )
| ~ spl6_228
| ~ spl6_245 ),
inference(forward_demodulation,[],[f3725,f3285]) ).
fof(f3285,plain,
( sz00 = sdtasdt0(xn,xm)
| ~ spl6_228 ),
inference(avatar_component_clause,[],[f3283]) ).
fof(f3725,plain,
( ! [X0] :
( doDivides0(X0,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr) )
| ~ spl6_245 ),
inference(avatar_component_clause,[],[f3724]) ).
fof(f3726,plain,
( ~ spl6_5
| ~ spl6_226
| spl6_245
| ~ spl6_27
| ~ spl6_73 ),
inference(avatar_split_clause,[],[f808,f798,f388,f3724,f3275,f273]) ).
fof(f273,plain,
( spl6_5
<=> aNaturalNumber0(xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_5])]) ).
fof(f3275,plain,
( spl6_226
<=> aNaturalNumber0(sdtasdt0(xn,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_226])]) ).
fof(f388,plain,
( spl6_27
<=> doDivides0(xr,sdtasdt0(xn,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_27])]) ).
fof(f798,plain,
( spl6_73
<=> ! [X2,X0,X1] :
( doDivides0(X0,X2)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_73])]) ).
fof(f808,plain,
( ! [X0] :
( doDivides0(X0,sdtasdt0(xn,xm))
| ~ doDivides0(X0,xr)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0) )
| ~ spl6_27
| ~ spl6_73 ),
inference(resolution,[],[f799,f390]) ).
fof(f390,plain,
( doDivides0(xr,sdtasdt0(xn,xm))
| ~ spl6_27 ),
inference(avatar_component_clause,[],[f388]) ).
fof(f799,plain,
( ! [X2,X0,X1] :
( ~ doDivides0(X1,X2)
| doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_73 ),
inference(avatar_component_clause,[],[f798]) ).
fof(f3720,plain,
( ~ spl6_9
| ~ spl6_226
| spl6_244
| ~ spl6_26
| ~ spl6_73 ),
inference(avatar_split_clause,[],[f806,f798,f383,f3718,f3275,f293]) ).
fof(f293,plain,
( spl6_9
<=> aNaturalNumber0(xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_9])]) ).
fof(f3718,plain,
( spl6_244
<=> ! [X0] :
( doDivides0(X0,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_244])]) ).
fof(f383,plain,
( spl6_26
<=> doDivides0(xp,sdtasdt0(xn,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_26])]) ).
fof(f806,plain,
( ! [X0] :
( doDivides0(X0,sdtasdt0(xn,xm))
| ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) )
| ~ spl6_26
| ~ spl6_73 ),
inference(resolution,[],[f799,f385]) ).
fof(f385,plain,
( doDivides0(xp,sdtasdt0(xn,xm))
| ~ spl6_26 ),
inference(avatar_component_clause,[],[f383]) ).
fof(f3677,plain,
( spl6_243
| ~ spl6_2
| ~ spl6_4 ),
inference(avatar_split_clause,[],[f3545,f268,f259,f3674]) ).
fof(f3674,plain,
( spl6_243
<=> isPrime0(xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_243])]) ).
fof(f268,plain,
( spl6_4
<=> isPrime0(xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_4])]) ).
fof(f3545,plain,
( isPrime0(xk)
| ~ spl6_2
| ~ spl6_4 ),
inference(superposition,[],[f270,f261]) ).
fof(f270,plain,
( isPrime0(xp)
| ~ spl6_4 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f3543,plain,
( ~ spl6_9
| ~ spl6_226
| spl6_242
| ~ spl6_26
| spl6_51
| ~ spl6_32
| ~ spl6_71 ),
inference(avatar_split_clause,[],[f792,f742,f410,f549,f383,f3540,f3275,f293]) ).
fof(f410,plain,
( spl6_32
<=> xk = sdtsldt0(sdtasdt0(xn,xm),xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_32])]) ).
fof(f742,plain,
( spl6_71
<=> ! [X0,X1] :
( aNaturalNumber0(sdtsldt0(X1,X0))
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_71])]) ).
fof(f792,plain,
( aNaturalNumber0(xk)
| ~ doDivides0(xp,sdtasdt0(xn,xm))
| sz00 = xp
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xp)
| ~ spl6_32
| ~ spl6_71 ),
inference(superposition,[],[f743,f412]) ).
fof(f412,plain,
( xk = sdtsldt0(sdtasdt0(xn,xm),xp)
| ~ spl6_32 ),
inference(avatar_component_clause,[],[f410]) ).
fof(f743,plain,
( ! [X0,X1] :
( aNaturalNumber0(sdtsldt0(X1,X0))
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_71 ),
inference(avatar_component_clause,[],[f742]) ).
fof(f3504,plain,
( ~ spl6_5
| ~ spl6_226
| spl6_241
| spl6_228
| ~ spl6_27
| ~ spl6_64 ),
inference(avatar_split_clause,[],[f701,f664,f388,f3283,f3501,f3275,f273]) ).
fof(f3501,plain,
( spl6_241
<=> sdtlseqdt0(xr,sdtasdt0(xn,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_241])]) ).
fof(f664,plain,
( spl6_64
<=> ! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sz00 = X1
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_64])]) ).
fof(f701,plain,
( sz00 = sdtasdt0(xn,xm)
| sdtlseqdt0(xr,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xr)
| ~ spl6_27
| ~ spl6_64 ),
inference(resolution,[],[f665,f390]) ).
fof(f665,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| sz00 = X1
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_64 ),
inference(avatar_component_clause,[],[f664]) ).
fof(f3417,plain,
( ~ spl6_7
| ~ spl6_8
| ~ spl6_41
| spl6_226 ),
inference(avatar_split_clause,[],[f3287,f3275,f484,f288,f283]) ).
fof(f283,plain,
( spl6_7
<=> aNaturalNumber0(xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_7])]) ).
fof(f288,plain,
( spl6_8
<=> aNaturalNumber0(xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_8])]) ).
fof(f484,plain,
( spl6_41
<=> ! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_41])]) ).
fof(f3287,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ spl6_41
| spl6_226 ),
inference(resolution,[],[f3277,f485]) ).
fof(f485,plain,
( ! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_41 ),
inference(avatar_component_clause,[],[f484]) ).
fof(f3277,plain,
( ~ aNaturalNumber0(sdtasdt0(xn,xm))
| spl6_226 ),
inference(avatar_component_clause,[],[f3275]) ).
fof(f3348,plain,
( spl6_240
| ~ spl6_39
| ~ spl6_53 ),
inference(avatar_split_clause,[],[f619,f558,f440,f3346]) ).
fof(f3346,plain,
( spl6_240
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtmndt0(X1,X0) = sdtasdt0(sz10,sdtmndt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_240])]) ).
fof(f440,plain,
( spl6_39
<=> ! [X0] :
( sdtasdt0(sz10,X0) = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_39])]) ).
fof(f558,plain,
( spl6_53
<=> ! [X0,X1] :
( aNaturalNumber0(sdtmndt0(X1,X0))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_53])]) ).
fof(f619,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtmndt0(X1,X0) = sdtasdt0(sz10,sdtmndt0(X1,X0)) )
| ~ spl6_39
| ~ spl6_53 ),
inference(resolution,[],[f559,f441]) ).
fof(f441,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sz10,X0) = X0 )
| ~ spl6_39 ),
inference(avatar_component_clause,[],[f440]) ).
fof(f559,plain,
( ! [X0,X1] :
( aNaturalNumber0(sdtmndt0(X1,X0))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_53 ),
inference(avatar_component_clause,[],[f558]) ).
fof(f3344,plain,
( spl6_239
| ~ spl6_37
| ~ spl6_53 ),
inference(avatar_split_clause,[],[f618,f558,f431,f3342]) ).
fof(f3342,plain,
( spl6_239
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtmndt0(X1,X0) = sdtasdt0(sdtmndt0(X1,X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_239])]) ).
fof(f431,plain,
( spl6_37
<=> ! [X0] :
( sdtasdt0(X0,sz10) = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_37])]) ).
fof(f618,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtmndt0(X1,X0) = sdtasdt0(sdtmndt0(X1,X0),sz10) )
| ~ spl6_37
| ~ spl6_53 ),
inference(resolution,[],[f559,f432]) ).
fof(f432,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sz10) = X0 )
| ~ spl6_37 ),
inference(avatar_component_clause,[],[f431]) ).
fof(f3340,plain,
( spl6_238
| ~ spl6_36
| ~ spl6_53 ),
inference(avatar_split_clause,[],[f617,f558,f427,f3338]) ).
fof(f3338,plain,
( spl6_238
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtmndt0(X1,X0) = sdtpldt0(sz00,sdtmndt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_238])]) ).
fof(f427,plain,
( spl6_36
<=> ! [X0] :
( sdtpldt0(sz00,X0) = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_36])]) ).
fof(f617,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtmndt0(X1,X0) = sdtpldt0(sz00,sdtmndt0(X1,X0)) )
| ~ spl6_36
| ~ spl6_53 ),
inference(resolution,[],[f559,f428]) ).
fof(f428,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sz00,X0) = X0 )
| ~ spl6_36 ),
inference(avatar_component_clause,[],[f427]) ).
fof(f3336,plain,
( spl6_237
| ~ spl6_35
| ~ spl6_53 ),
inference(avatar_split_clause,[],[f616,f558,f423,f3334]) ).
fof(f3334,plain,
( spl6_237
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtmndt0(X1,X0) = sdtpldt0(sdtmndt0(X1,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_237])]) ).
fof(f423,plain,
( spl6_35
<=> ! [X0] :
( sdtpldt0(X0,sz00) = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_35])]) ).
fof(f616,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtmndt0(X1,X0) = sdtpldt0(sdtmndt0(X1,X0),sz00) )
| ~ spl6_35
| ~ spl6_53 ),
inference(resolution,[],[f559,f424]) ).
fof(f424,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sz00) = X0 )
| ~ spl6_35 ),
inference(avatar_component_clause,[],[f423]) ).
fof(f3332,plain,
( spl6_236
| ~ spl6_39
| ~ spl6_52 ),
inference(avatar_split_clause,[],[f610,f554,f440,f3330]) ).
fof(f3330,plain,
( spl6_236
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK5(X0,X1) = sdtasdt0(sz10,sK5(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_236])]) ).
fof(f554,plain,
( spl6_52
<=> ! [X0,X1] :
( aNaturalNumber0(sK5(X0,X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_52])]) ).
fof(f610,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK5(X0,X1) = sdtasdt0(sz10,sK5(X0,X1)) )
| ~ spl6_39
| ~ spl6_52 ),
inference(resolution,[],[f555,f441]) ).
fof(f555,plain,
( ! [X0,X1] :
( aNaturalNumber0(sK5(X0,X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_52 ),
inference(avatar_component_clause,[],[f554]) ).
fof(f3328,plain,
( spl6_235
| ~ spl6_37
| ~ spl6_52 ),
inference(avatar_split_clause,[],[f609,f554,f431,f3326]) ).
fof(f3326,plain,
( spl6_235
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK5(X0,X1) = sdtasdt0(sK5(X0,X1),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_235])]) ).
fof(f609,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK5(X0,X1) = sdtasdt0(sK5(X0,X1),sz10) )
| ~ spl6_37
| ~ spl6_52 ),
inference(resolution,[],[f555,f432]) ).
fof(f3316,plain,
( spl6_234
| ~ spl6_36
| ~ spl6_52 ),
inference(avatar_split_clause,[],[f608,f554,f427,f3314]) ).
fof(f3314,plain,
( spl6_234
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK5(X0,X1) = sdtpldt0(sz00,sK5(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_234])]) ).
fof(f608,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK5(X0,X1) = sdtpldt0(sz00,sK5(X0,X1)) )
| ~ spl6_36
| ~ spl6_52 ),
inference(resolution,[],[f555,f428]) ).
fof(f3312,plain,
( spl6_233
| ~ spl6_35
| ~ spl6_52 ),
inference(avatar_split_clause,[],[f607,f554,f423,f3310]) ).
fof(f3310,plain,
( spl6_233
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK5(X0,X1) = sdtpldt0(sK5(X0,X1),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_233])]) ).
fof(f607,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK5(X0,X1) = sdtpldt0(sK5(X0,X1),sz00) )
| ~ spl6_35
| ~ spl6_52 ),
inference(resolution,[],[f555,f424]) ).
fof(f3308,plain,
( spl6_232
| ~ spl6_39
| ~ spl6_50 ),
inference(avatar_split_clause,[],[f601,f545,f440,f3306]) ).
fof(f3306,plain,
( spl6_232
<=> ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK4(X0,X1) = sdtasdt0(sz10,sK4(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_232])]) ).
fof(f545,plain,
( spl6_50
<=> ! [X0,X1] :
( aNaturalNumber0(sK4(X0,X1))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_50])]) ).
fof(f601,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK4(X0,X1) = sdtasdt0(sz10,sK4(X0,X1)) )
| ~ spl6_39
| ~ spl6_50 ),
inference(resolution,[],[f546,f441]) ).
fof(f546,plain,
( ! [X0,X1] :
( aNaturalNumber0(sK4(X0,X1))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_50 ),
inference(avatar_component_clause,[],[f545]) ).
fof(f3304,plain,
( spl6_231
| ~ spl6_37
| ~ spl6_50 ),
inference(avatar_split_clause,[],[f600,f545,f431,f3302]) ).
fof(f3302,plain,
( spl6_231
<=> ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK4(X0,X1) = sdtasdt0(sK4(X0,X1),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_231])]) ).
fof(f600,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK4(X0,X1) = sdtasdt0(sK4(X0,X1),sz10) )
| ~ spl6_37
| ~ spl6_50 ),
inference(resolution,[],[f546,f432]) ).
fof(f3300,plain,
( spl6_230
| ~ spl6_36
| ~ spl6_50 ),
inference(avatar_split_clause,[],[f599,f545,f427,f3298]) ).
fof(f3298,plain,
( spl6_230
<=> ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK4(X0,X1) = sdtpldt0(sz00,sK4(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_230])]) ).
fof(f599,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK4(X0,X1) = sdtpldt0(sz00,sK4(X0,X1)) )
| ~ spl6_36
| ~ spl6_50 ),
inference(resolution,[],[f546,f428]) ).
fof(f3296,plain,
( spl6_229
| ~ spl6_35
| ~ spl6_50 ),
inference(avatar_split_clause,[],[f598,f545,f423,f3294]) ).
fof(f3294,plain,
( spl6_229
<=> ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK4(X0,X1) = sdtpldt0(sK4(X0,X1),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_229])]) ).
fof(f598,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK4(X0,X1) = sdtpldt0(sK4(X0,X1),sz00) )
| ~ spl6_35
| ~ spl6_50 ),
inference(resolution,[],[f546,f424]) ).
fof(f3286,plain,
( ~ spl6_9
| ~ spl6_226
| spl6_227
| spl6_228
| ~ spl6_26
| ~ spl6_64 ),
inference(avatar_split_clause,[],[f699,f664,f383,f3283,f3279,f3275,f293]) ).
fof(f3279,plain,
( spl6_227
<=> sdtlseqdt0(xp,sdtasdt0(xn,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_227])]) ).
fof(f699,plain,
( sz00 = sdtasdt0(xn,xm)
| sdtlseqdt0(xp,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xp)
| ~ spl6_26
| ~ spl6_64 ),
inference(resolution,[],[f665,f385]) ).
fof(f3273,plain,
( ~ spl6_9
| ~ spl6_10
| spl6_225
| ~ spl6_66
| ~ spl6_98 ),
inference(avatar_split_clause,[],[f1217,f1061,f672,f3270,f298,f293]) ).
fof(f298,plain,
( spl6_10
<=> aNaturalNumber0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_10])]) ).
fof(f3270,plain,
( spl6_225
<=> doDivides0(xp,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_225])]) ).
fof(f672,plain,
( spl6_66
<=> ! [X2,X0] :
( doDivides0(X0,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_66])]) ).
fof(f1061,plain,
( spl6_98
<=> sz00 = sdtasdt0(xp,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_98])]) ).
fof(f1217,plain,
( doDivides0(xp,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ spl6_66
| ~ spl6_98 ),
inference(duplicate_literal_removal,[],[f1207]) ).
fof(f1207,plain,
( doDivides0(xp,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ spl6_66
| ~ spl6_98 ),
inference(superposition,[],[f673,f1063]) ).
fof(f1063,plain,
( sz00 = sdtasdt0(xp,sz00)
| ~ spl6_98 ),
inference(avatar_component_clause,[],[f1061]) ).
fof(f673,plain,
( ! [X2,X0] :
( doDivides0(X0,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X0) )
| ~ spl6_66 ),
inference(avatar_component_clause,[],[f672]) ).
fof(f3026,plain,
( spl6_224
| ~ spl6_67
| ~ spl6_89 ),
inference(avatar_split_clause,[],[f997,f987,f678,f3024]) ).
fof(f3024,plain,
( spl6_224
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtmndt0(sdtpldt0(X1,X0),X1) = X0
| ~ aNaturalNumber0(sdtpldt0(X1,X0))
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_224])]) ).
fof(f678,plain,
( spl6_67
<=> ! [X2,X0] :
( sdtlseqdt0(X0,sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_67])]) ).
fof(f987,plain,
( spl6_89
<=> ! [X2,X0] :
( sdtmndt0(sdtpldt0(X0,X2),X0) = X2
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X0,sdtpldt0(X0,X2))
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_89])]) ).
fof(f997,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtmndt0(sdtpldt0(X1,X0),X1) = X0
| ~ aNaturalNumber0(sdtpldt0(X1,X0))
| ~ aNaturalNumber0(X1) )
| ~ spl6_67
| ~ spl6_89 ),
inference(duplicate_literal_removal,[],[f990]) ).
fof(f990,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtmndt0(sdtpldt0(X1,X0),X1) = X0
| ~ aNaturalNumber0(sdtpldt0(X1,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X1,X0))
| ~ aNaturalNumber0(X1) )
| ~ spl6_67
| ~ spl6_89 ),
inference(resolution,[],[f988,f679]) ).
fof(f679,plain,
( ! [X2,X0] :
( sdtlseqdt0(X0,sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X0) )
| ~ spl6_67 ),
inference(avatar_component_clause,[],[f678]) ).
fof(f988,plain,
( ! [X2,X0] :
( ~ sdtlseqdt0(X0,sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X2)
| sdtmndt0(sdtpldt0(X0,X2),X0) = X2
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X0) )
| ~ spl6_89 ),
inference(avatar_component_clause,[],[f987]) ).
fof(f3022,plain,
( spl6_223
| ~ spl6_11
| ~ spl6_78 ),
inference(avatar_split_clause,[],[f879,f847,f303,f3020]) ).
fof(f3020,plain,
( spl6_223
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sz10) = sdtasdt0(X0,sdtasdt0(X1,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_223])]) ).
fof(f303,plain,
( spl6_11
<=> aNaturalNumber0(sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_11])]) ).
fof(f847,plain,
( spl6_78
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_78])]) ).
fof(f879,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sz10) = sdtasdt0(X0,sdtasdt0(X1,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_11
| ~ spl6_78 ),
inference(resolution,[],[f848,f305]) ).
fof(f305,plain,
( aNaturalNumber0(sz10)
| ~ spl6_11 ),
inference(avatar_component_clause,[],[f303]) ).
fof(f848,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_78 ),
inference(avatar_component_clause,[],[f847]) ).
fof(f3018,plain,
( spl6_222
| ~ spl6_10
| ~ spl6_78 ),
inference(avatar_split_clause,[],[f878,f847,f298,f3016]) ).
fof(f3016,plain,
( spl6_222
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sz00) = sdtasdt0(X0,sdtasdt0(X1,sz00))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_222])]) ).
fof(f878,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sz00) = sdtasdt0(X0,sdtasdt0(X1,sz00))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_10
| ~ spl6_78 ),
inference(resolution,[],[f848,f300]) ).
fof(f300,plain,
( aNaturalNumber0(sz00)
| ~ spl6_10 ),
inference(avatar_component_clause,[],[f298]) ).
fof(f3014,plain,
( spl6_221
| ~ spl6_11
| ~ spl6_77 ),
inference(avatar_split_clause,[],[f865,f843,f303,f3012]) ).
fof(f3012,plain,
( spl6_221
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sz10) = sdtpldt0(X0,sdtpldt0(X1,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_221])]) ).
fof(f843,plain,
( spl6_77
<=> ! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_77])]) ).
fof(f865,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sz10) = sdtpldt0(X0,sdtpldt0(X1,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_11
| ~ spl6_77 ),
inference(resolution,[],[f844,f305]) ).
fof(f844,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_77 ),
inference(avatar_component_clause,[],[f843]) ).
fof(f3010,plain,
( spl6_220
| ~ spl6_10
| ~ spl6_77 ),
inference(avatar_split_clause,[],[f864,f843,f298,f3008]) ).
fof(f3008,plain,
( spl6_220
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(X0,sdtpldt0(X1,sz00))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_220])]) ).
fof(f864,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(X0,sdtpldt0(X1,sz00))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_10
| ~ spl6_77 ),
inference(resolution,[],[f844,f300]) ).
fof(f3006,plain,
( ~ spl6_8
| ~ spl6_10
| spl6_219
| ~ spl6_66
| ~ spl6_97 ),
inference(avatar_split_clause,[],[f1204,f1056,f672,f3003,f298,f288]) ).
fof(f3003,plain,
( spl6_219
<=> doDivides0(xm,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_219])]) ).
fof(f1056,plain,
( spl6_97
<=> sz00 = sdtasdt0(xm,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_97])]) ).
fof(f1204,plain,
( doDivides0(xm,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ spl6_66
| ~ spl6_97 ),
inference(duplicate_literal_removal,[],[f1194]) ).
fof(f1194,plain,
( doDivides0(xm,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ spl6_66
| ~ spl6_97 ),
inference(superposition,[],[f673,f1058]) ).
fof(f1058,plain,
( sz00 = sdtasdt0(xm,sz00)
| ~ spl6_97 ),
inference(avatar_component_clause,[],[f1056]) ).
fof(f3001,plain,
( spl6_218
| ~ spl6_43
| ~ spl6_74 ),
inference(avatar_split_clause,[],[f827,f802,f507,f2999]) ).
fof(f2999,plain,
( spl6_218
<=> ! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_218])]) ).
fof(f507,plain,
( spl6_43
<=> ! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_43])]) ).
fof(f802,plain,
( spl6_74
<=> ! [X2,X0,X1] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_74])]) ).
fof(f827,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X2) )
| ~ spl6_43
| ~ spl6_74 ),
inference(duplicate_literal_removal,[],[f817]) ).
fof(f817,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) )
| ~ spl6_43
| ~ spl6_74 ),
inference(resolution,[],[f803,f508]) ).
fof(f508,plain,
( ! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_43 ),
inference(avatar_component_clause,[],[f507]) ).
fof(f803,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_74 ),
inference(avatar_component_clause,[],[f802]) ).
fof(f2997,plain,
( spl6_217
| ~ spl6_57
| ~ spl6_64 ),
inference(avatar_split_clause,[],[f704,f664,f635,f2995]) ).
fof(f2995,plain,
( spl6_217
<=> ! [X0] :
( sz00 = X0
| sdtlseqdt0(sK3(X0),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(X0))
| sz10 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_217])]) ).
fof(f635,plain,
( spl6_57
<=> ! [X0] :
( doDivides0(sK3(X0),X0)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_57])]) ).
fof(f704,plain,
( ! [X0] :
( sz00 = X0
| sdtlseqdt0(sK3(X0),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(X0))
| sz10 = X0 )
| ~ spl6_57
| ~ spl6_64 ),
inference(duplicate_literal_removal,[],[f703]) ).
fof(f703,plain,
( ! [X0] :
( sz00 = X0
| sdtlseqdt0(sK3(X0),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(X0))
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl6_57
| ~ spl6_64 ),
inference(resolution,[],[f665,f636]) ).
fof(f636,plain,
( ! [X0] :
( doDivides0(sK3(X0),X0)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl6_57 ),
inference(avatar_component_clause,[],[f635]) ).
fof(f2993,plain,
( spl6_216
| ~ spl6_39
| ~ spl6_46 ),
inference(avatar_split_clause,[],[f574,f529,f440,f2991]) ).
fof(f2991,plain,
( spl6_216
<=> ! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sK3(X0) = sdtasdt0(sz10,sK3(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_216])]) ).
fof(f529,plain,
( spl6_46
<=> ! [X0] :
( aNaturalNumber0(sK3(X0))
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_46])]) ).
fof(f574,plain,
( ! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sK3(X0) = sdtasdt0(sz10,sK3(X0)) )
| ~ spl6_39
| ~ spl6_46 ),
inference(resolution,[],[f530,f441]) ).
fof(f530,plain,
( ! [X0] :
( aNaturalNumber0(sK3(X0))
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl6_46 ),
inference(avatar_component_clause,[],[f529]) ).
fof(f2989,plain,
( spl6_215
| ~ spl6_37
| ~ spl6_46 ),
inference(avatar_split_clause,[],[f573,f529,f431,f2987]) ).
fof(f2987,plain,
( spl6_215
<=> ! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sK3(X0) = sdtasdt0(sK3(X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_215])]) ).
fof(f573,plain,
( ! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sK3(X0) = sdtasdt0(sK3(X0),sz10) )
| ~ spl6_37
| ~ spl6_46 ),
inference(resolution,[],[f530,f432]) ).
fof(f2985,plain,
( spl6_214
| ~ spl6_36
| ~ spl6_46 ),
inference(avatar_split_clause,[],[f572,f529,f427,f2983]) ).
fof(f2983,plain,
( spl6_214
<=> ! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sK3(X0) = sdtpldt0(sz00,sK3(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_214])]) ).
fof(f572,plain,
( ! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sK3(X0) = sdtpldt0(sz00,sK3(X0)) )
| ~ spl6_36
| ~ spl6_46 ),
inference(resolution,[],[f530,f428]) ).
fof(f2981,plain,
( spl6_213
| ~ spl6_35
| ~ spl6_46 ),
inference(avatar_split_clause,[],[f571,f529,f423,f2979]) ).
fof(f2979,plain,
( spl6_213
<=> ! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sK3(X0) = sdtpldt0(sK3(X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_213])]) ).
fof(f571,plain,
( ! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sK3(X0) = sdtpldt0(sK3(X0),sz00) )
| ~ spl6_35
| ~ spl6_46 ),
inference(resolution,[],[f530,f424]) ).
fof(f2977,plain,
( spl6_212
| ~ spl6_39
| ~ spl6_45 ),
inference(avatar_split_clause,[],[f567,f525,f440,f2975]) ).
fof(f2975,plain,
( spl6_212
<=> ! [X0] :
( sP0(X0)
| sz10 = X0
| sz00 = X0
| sK2(X0) = sdtasdt0(sz10,sK2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_212])]) ).
fof(f525,plain,
( spl6_45
<=> ! [X0] :
( sP0(X0)
| aNaturalNumber0(sK2(X0))
| sz10 = X0
| sz00 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_45])]) ).
fof(f567,plain,
( ! [X0] :
( sP0(X0)
| sz10 = X0
| sz00 = X0
| sK2(X0) = sdtasdt0(sz10,sK2(X0)) )
| ~ spl6_39
| ~ spl6_45 ),
inference(resolution,[],[f526,f441]) ).
fof(f526,plain,
( ! [X0] :
( aNaturalNumber0(sK2(X0))
| sP0(X0)
| sz10 = X0
| sz00 = X0 )
| ~ spl6_45 ),
inference(avatar_component_clause,[],[f525]) ).
fof(f2973,plain,
( spl6_211
| ~ spl6_37
| ~ spl6_45 ),
inference(avatar_split_clause,[],[f566,f525,f431,f2971]) ).
fof(f2971,plain,
( spl6_211
<=> ! [X0] :
( sP0(X0)
| sz10 = X0
| sz00 = X0
| sK2(X0) = sdtasdt0(sK2(X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_211])]) ).
fof(f566,plain,
( ! [X0] :
( sP0(X0)
| sz10 = X0
| sz00 = X0
| sK2(X0) = sdtasdt0(sK2(X0),sz10) )
| ~ spl6_37
| ~ spl6_45 ),
inference(resolution,[],[f526,f432]) ).
fof(f2969,plain,
( spl6_210
| ~ spl6_36
| ~ spl6_45 ),
inference(avatar_split_clause,[],[f565,f525,f427,f2967]) ).
fof(f2967,plain,
( spl6_210
<=> ! [X0] :
( sP0(X0)
| sz10 = X0
| sz00 = X0
| sK2(X0) = sdtpldt0(sz00,sK2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_210])]) ).
fof(f565,plain,
( ! [X0] :
( sP0(X0)
| sz10 = X0
| sz00 = X0
| sK2(X0) = sdtpldt0(sz00,sK2(X0)) )
| ~ spl6_36
| ~ spl6_45 ),
inference(resolution,[],[f526,f428]) ).
fof(f2965,plain,
( spl6_209
| ~ spl6_35
| ~ spl6_45 ),
inference(avatar_split_clause,[],[f564,f525,f423,f2963]) ).
fof(f2963,plain,
( spl6_209
<=> ! [X0] :
( sP0(X0)
| sz10 = X0
| sz00 = X0
| sK2(X0) = sdtpldt0(sK2(X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_209])]) ).
fof(f564,plain,
( ! [X0] :
( sP0(X0)
| sz10 = X0
| sz00 = X0
| sK2(X0) = sdtpldt0(sK2(X0),sz00) )
| ~ spl6_35
| ~ spl6_45 ),
inference(resolution,[],[f526,f424]) ).
fof(f2813,plain,
( spl6_208
| ~ spl6_5
| ~ spl6_78 ),
inference(avatar_split_clause,[],[f887,f847,f273,f2811]) ).
fof(f2811,plain,
( spl6_208
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xr) = sdtasdt0(X0,sdtasdt0(X1,xr))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_208])]) ).
fof(f887,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xr) = sdtasdt0(X0,sdtasdt0(X1,xr))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_5
| ~ spl6_78 ),
inference(resolution,[],[f848,f275]) ).
fof(f275,plain,
( aNaturalNumber0(xr)
| ~ spl6_5 ),
inference(avatar_component_clause,[],[f273]) ).
fof(f2809,plain,
( spl6_207
| ~ spl6_9
| ~ spl6_78 ),
inference(avatar_split_clause,[],[f886,f847,f293,f2807]) ).
fof(f2807,plain,
( spl6_207
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xp) = sdtasdt0(X0,sdtasdt0(X1,xp))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_207])]) ).
fof(f886,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xp) = sdtasdt0(X0,sdtasdt0(X1,xp))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_9
| ~ spl6_78 ),
inference(resolution,[],[f848,f295]) ).
fof(f295,plain,
( aNaturalNumber0(xp)
| ~ spl6_9 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f2805,plain,
( ~ spl6_7
| ~ spl6_10
| spl6_206
| ~ spl6_66
| ~ spl6_96 ),
inference(avatar_split_clause,[],[f1191,f1051,f672,f2802,f298,f283]) ).
fof(f2802,plain,
( spl6_206
<=> doDivides0(xn,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_206])]) ).
fof(f1051,plain,
( spl6_96
<=> sz00 = sdtasdt0(xn,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_96])]) ).
fof(f1191,plain,
( doDivides0(xn,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ spl6_66
| ~ spl6_96 ),
inference(duplicate_literal_removal,[],[f1181]) ).
fof(f1181,plain,
( doDivides0(xn,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ spl6_66
| ~ spl6_96 ),
inference(superposition,[],[f673,f1053]) ).
fof(f1053,plain,
( sz00 = sdtasdt0(xn,sz00)
| ~ spl6_96 ),
inference(avatar_component_clause,[],[f1051]) ).
fof(f2800,plain,
( spl6_205
| ~ spl6_8
| ~ spl6_78 ),
inference(avatar_split_clause,[],[f885,f847,f288,f2798]) ).
fof(f2798,plain,
( spl6_205
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xm) = sdtasdt0(X0,sdtasdt0(X1,xm))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_205])]) ).
fof(f885,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xm) = sdtasdt0(X0,sdtasdt0(X1,xm))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_8
| ~ spl6_78 ),
inference(resolution,[],[f848,f290]) ).
fof(f290,plain,
( aNaturalNumber0(xm)
| ~ spl6_8 ),
inference(avatar_component_clause,[],[f288]) ).
fof(f2796,plain,
( spl6_204
| ~ spl6_7
| ~ spl6_78 ),
inference(avatar_split_clause,[],[f884,f847,f283,f2794]) ).
fof(f2794,plain,
( spl6_204
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xn) = sdtasdt0(X0,sdtasdt0(X1,xn))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_204])]) ).
fof(f884,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xn) = sdtasdt0(X0,sdtasdt0(X1,xn))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_7
| ~ spl6_78 ),
inference(resolution,[],[f848,f285]) ).
fof(f285,plain,
( aNaturalNumber0(xn)
| ~ spl6_7 ),
inference(avatar_component_clause,[],[f283]) ).
fof(f2792,plain,
( spl6_203
| ~ spl6_5
| ~ spl6_77 ),
inference(avatar_split_clause,[],[f873,f843,f273,f2790]) ).
fof(f2790,plain,
( spl6_203
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xr) = sdtpldt0(X0,sdtpldt0(X1,xr))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_203])]) ).
fof(f873,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xr) = sdtpldt0(X0,sdtpldt0(X1,xr))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_5
| ~ spl6_77 ),
inference(resolution,[],[f844,f275]) ).
fof(f2788,plain,
( spl6_202
| ~ spl6_9
| ~ spl6_77 ),
inference(avatar_split_clause,[],[f872,f843,f293,f2786]) ).
fof(f2786,plain,
( spl6_202
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xp) = sdtpldt0(X0,sdtpldt0(X1,xp))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_202])]) ).
fof(f872,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xp) = sdtpldt0(X0,sdtpldt0(X1,xp))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_9
| ~ spl6_77 ),
inference(resolution,[],[f844,f295]) ).
fof(f2784,plain,
( spl6_201
| ~ spl6_8
| ~ spl6_77 ),
inference(avatar_split_clause,[],[f871,f843,f288,f2782]) ).
fof(f2782,plain,
( spl6_201
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xm) = sdtpldt0(X0,sdtpldt0(X1,xm))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_201])]) ).
fof(f871,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xm) = sdtpldt0(X0,sdtpldt0(X1,xm))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_8
| ~ spl6_77 ),
inference(resolution,[],[f844,f290]) ).
fof(f2780,plain,
( spl6_200
| ~ spl6_7
| ~ spl6_77 ),
inference(avatar_split_clause,[],[f870,f843,f283,f2778]) ).
fof(f2778,plain,
( spl6_200
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xn) = sdtpldt0(X0,sdtpldt0(X1,xn))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_200])]) ).
fof(f870,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xn) = sdtpldt0(X0,sdtpldt0(X1,xn))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_7
| ~ spl6_77 ),
inference(resolution,[],[f844,f285]) ).
fof(f2553,plain,
( spl6_199
| ~ spl6_25
| ~ spl6_71 ),
inference(avatar_split_clause,[],[f783,f742,f373,f2551]) ).
fof(f2551,plain,
( spl6_199
<=> ! [X0,X1] :
( ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sP1(sdtsldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_199])]) ).
fof(f783,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sP1(sdtsldt0(X1,X0)) )
| ~ spl6_25
| ~ spl6_71 ),
inference(resolution,[],[f743,f374]) ).
fof(f2549,plain,
( ~ spl6_11
| spl6_198
| ~ spl6_66
| ~ spl6_130 ),
inference(avatar_split_clause,[],[f1696,f1567,f672,f2546,f303]) ).
fof(f2546,plain,
( spl6_198
<=> doDivides0(sz10,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_198])]) ).
fof(f1567,plain,
( spl6_130
<=> sz10 = sdtasdt0(sz10,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_130])]) ).
fof(f1696,plain,
( doDivides0(sz10,sz10)
| ~ aNaturalNumber0(sz10)
| ~ spl6_66
| ~ spl6_130 ),
inference(duplicate_literal_removal,[],[f1677]) ).
fof(f1677,plain,
( doDivides0(sz10,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz10)
| ~ spl6_66
| ~ spl6_130 ),
inference(superposition,[],[f673,f1569]) ).
fof(f1569,plain,
( sz10 = sdtasdt0(sz10,sz10)
| ~ spl6_130 ),
inference(avatar_component_clause,[],[f1567]) ).
fof(f2544,plain,
( spl6_197
| ~ spl6_43
| ~ spl6_70 ),
inference(avatar_split_clause,[],[f780,f736,f507,f2542]) ).
fof(f2542,plain,
( spl6_197
<=> ! [X0,X1] :
( sdtpldt0(X0,sdtmndt0(X1,X0)) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_197])]) ).
fof(f736,plain,
( spl6_70
<=> ! [X0,X1] :
( sdtpldt0(X0,sdtmndt0(X1,X0)) = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_70])]) ).
fof(f780,plain,
( ! [X0,X1] :
( sdtpldt0(X0,sdtmndt0(X1,X0)) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X0) )
| ~ spl6_43
| ~ spl6_70 ),
inference(duplicate_literal_removal,[],[f770]) ).
fof(f770,plain,
( ! [X0,X1] :
( sdtpldt0(X0,sdtmndt0(X1,X0)) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_43
| ~ spl6_70 ),
inference(resolution,[],[f737,f508]) ).
fof(f737,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| sdtpldt0(X0,sdtmndt0(X1,X0)) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_70 ),
inference(avatar_component_clause,[],[f736]) ).
fof(f2540,plain,
( spl6_196
| ~ spl6_43
| ~ spl6_69 ),
inference(avatar_split_clause,[],[f765,f732,f507,f2538]) ).
fof(f2538,plain,
( spl6_196
<=> ! [X0,X1] :
( sdtpldt0(X0,sK5(X0,X1)) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_196])]) ).
fof(f732,plain,
( spl6_69
<=> ! [X0,X1] :
( sdtpldt0(X0,sK5(X0,X1)) = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_69])]) ).
fof(f765,plain,
( ! [X0,X1] :
( sdtpldt0(X0,sK5(X0,X1)) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X0) )
| ~ spl6_43
| ~ spl6_69 ),
inference(duplicate_literal_removal,[],[f755]) ).
fof(f755,plain,
( ! [X0,X1] :
( sdtpldt0(X0,sK5(X0,X1)) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_43
| ~ spl6_69 ),
inference(resolution,[],[f733,f508]) ).
fof(f733,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| sdtpldt0(X0,sK5(X0,X1)) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_69 ),
inference(avatar_component_clause,[],[f732]) ).
fof(f2536,plain,
( spl6_195
| ~ spl6_34
| ~ spl6_53 ),
inference(avatar_split_clause,[],[f615,f558,f419,f2534]) ).
fof(f2534,plain,
( spl6_195
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtmndt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_195])]) ).
fof(f419,plain,
( spl6_34
<=> ! [X0] :
( sz00 = sdtasdt0(sz00,X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_34])]) ).
fof(f615,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtmndt0(X1,X0)) )
| ~ spl6_34
| ~ spl6_53 ),
inference(resolution,[],[f559,f420]) ).
fof(f420,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,X0) )
| ~ spl6_34 ),
inference(avatar_component_clause,[],[f419]) ).
fof(f2532,plain,
( spl6_194
| ~ spl6_33
| ~ spl6_53 ),
inference(avatar_split_clause,[],[f614,f558,f415,f2530]) ).
fof(f2530,plain,
( spl6_194
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtmndt0(X1,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_194])]) ).
fof(f415,plain,
( spl6_33
<=> ! [X0] :
( sz00 = sdtasdt0(X0,sz00)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_33])]) ).
fof(f614,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtmndt0(X1,X0),sz00) )
| ~ spl6_33
| ~ spl6_53 ),
inference(resolution,[],[f559,f416]) ).
fof(f416,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(X0,sz00) )
| ~ spl6_33 ),
inference(avatar_component_clause,[],[f415]) ).
fof(f2528,plain,
( spl6_193
| ~ spl6_34
| ~ spl6_52 ),
inference(avatar_split_clause,[],[f606,f554,f419,f2526]) ).
fof(f2526,plain,
( spl6_193
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sK5(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_193])]) ).
fof(f606,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sK5(X0,X1)) )
| ~ spl6_34
| ~ spl6_52 ),
inference(resolution,[],[f555,f420]) ).
fof(f2524,plain,
( spl6_192
| ~ spl6_33
| ~ spl6_52 ),
inference(avatar_split_clause,[],[f605,f554,f415,f2522]) ).
fof(f2522,plain,
( spl6_192
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sK5(X0,X1),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_192])]) ).
fof(f605,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sK5(X0,X1),sz00) )
| ~ spl6_33
| ~ spl6_52 ),
inference(resolution,[],[f555,f416]) ).
fof(f2520,plain,
( spl6_191
| ~ spl6_34
| ~ spl6_50 ),
inference(avatar_split_clause,[],[f597,f545,f419,f2518]) ).
fof(f2518,plain,
( spl6_191
<=> ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sK4(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_191])]) ).
fof(f597,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sK4(X0,X1)) )
| ~ spl6_34
| ~ spl6_50 ),
inference(resolution,[],[f546,f420]) ).
fof(f2516,plain,
( spl6_190
| ~ spl6_33
| ~ spl6_50 ),
inference(avatar_split_clause,[],[f596,f545,f415,f2514]) ).
fof(f2514,plain,
( spl6_190
<=> ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sK4(X0,X1),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_190])]) ).
fof(f596,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sK4(X0,X1),sz00) )
| ~ spl6_33
| ~ spl6_50 ),
inference(resolution,[],[f546,f416]) ).
fof(f2512,plain,
( spl6_189
| ~ spl6_34
| ~ spl6_46 ),
inference(avatar_split_clause,[],[f570,f529,f419,f2510]) ).
fof(f2510,plain,
( spl6_189
<=> ! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sK3(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_189])]) ).
fof(f570,plain,
( ! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sK3(X0)) )
| ~ spl6_34
| ~ spl6_46 ),
inference(resolution,[],[f530,f420]) ).
fof(f2508,plain,
( spl6_188
| ~ spl6_33
| ~ spl6_46 ),
inference(avatar_split_clause,[],[f569,f529,f415,f2506]) ).
fof(f2506,plain,
( spl6_188
<=> ! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sK3(X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_188])]) ).
fof(f569,plain,
( ! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sK3(X0),sz00) )
| ~ spl6_33
| ~ spl6_46 ),
inference(resolution,[],[f530,f416]) ).
fof(f2493,plain,
( spl6_187
| ~ spl6_34
| ~ spl6_45 ),
inference(avatar_split_clause,[],[f563,f525,f419,f2491]) ).
fof(f2491,plain,
( spl6_187
<=> ! [X0] :
( sP0(X0)
| sz10 = X0
| sz00 = X0
| sz00 = sdtasdt0(sz00,sK2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_187])]) ).
fof(f563,plain,
( ! [X0] :
( sP0(X0)
| sz10 = X0
| sz00 = X0
| sz00 = sdtasdt0(sz00,sK2(X0)) )
| ~ spl6_34
| ~ spl6_45 ),
inference(resolution,[],[f526,f420]) ).
fof(f2489,plain,
( spl6_186
| ~ spl6_33
| ~ spl6_45 ),
inference(avatar_split_clause,[],[f562,f525,f415,f2487]) ).
fof(f2487,plain,
( spl6_186
<=> ! [X0] :
( sP0(X0)
| sz10 = X0
| sz00 = X0
| sz00 = sdtasdt0(sK2(X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_186])]) ).
fof(f562,plain,
( ! [X0] :
( sP0(X0)
| sz10 = X0
| sz00 = X0
| sz00 = sdtasdt0(sK2(X0),sz00) )
| ~ spl6_33
| ~ spl6_45 ),
inference(resolution,[],[f526,f416]) ).
fof(f2485,plain,
( ~ spl6_183
| ~ spl6_9
| spl6_184
| spl6_185
| ~ spl6_26
| ~ spl6_62 ),
inference(avatar_split_clause,[],[f681,f656,f383,f2482,f2478,f293,f2474]) ).
fof(f2474,plain,
( spl6_183
<=> sP0(sdtasdt0(xn,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_183])]) ).
fof(f2478,plain,
( spl6_184
<=> xp = sdtasdt0(xn,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_184])]) ).
fof(f2482,plain,
( spl6_185
<=> sz10 = xp ),
introduced(avatar_definition,[new_symbols(naming,[spl6_185])]) ).
fof(f656,plain,
( spl6_62
<=> ! [X2,X0] :
( X0 = X2
| sz10 = X2
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(X2)
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_62])]) ).
fof(f681,plain,
( sz10 = xp
| xp = sdtasdt0(xn,xm)
| ~ aNaturalNumber0(xp)
| ~ sP0(sdtasdt0(xn,xm))
| ~ spl6_26
| ~ spl6_62 ),
inference(resolution,[],[f657,f385]) ).
fof(f657,plain,
( ! [X2,X0] :
( ~ doDivides0(X2,X0)
| sz10 = X2
| X0 = X2
| ~ aNaturalNumber0(X2)
| ~ sP0(X0) )
| ~ spl6_62 ),
inference(avatar_component_clause,[],[f656]) ).
fof(f2410,plain,
( ~ spl6_10
| spl6_182
| ~ spl6_66
| ~ spl6_124 ),
inference(avatar_split_clause,[],[f1583,f1537,f672,f2407,f298]) ).
fof(f2407,plain,
( spl6_182
<=> doDivides0(sz00,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_182])]) ).
fof(f1537,plain,
( spl6_124
<=> sz00 = sdtasdt0(sz00,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_124])]) ).
fof(f1583,plain,
( doDivides0(sz00,sz00)
| ~ aNaturalNumber0(sz00)
| ~ spl6_66
| ~ spl6_124 ),
inference(duplicate_literal_removal,[],[f1573]) ).
fof(f1573,plain,
( doDivides0(sz00,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz00)
| ~ spl6_66
| ~ spl6_124 ),
inference(superposition,[],[f673,f1539]) ).
fof(f1539,plain,
( sz00 = sdtasdt0(sz00,sz00)
| ~ spl6_124 ),
inference(avatar_component_clause,[],[f1537]) ).
fof(f2327,plain,
( ~ spl6_11
| spl6_181
| ~ spl6_44
| ~ spl6_65 ),
inference(avatar_split_clause,[],[f717,f668,f521,f2325,f303]) ).
fof(f2325,plain,
( spl6_181
<=> ! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_181])]) ).
fof(f521,plain,
( spl6_44
<=> ! [X0] :
( sdtlseqdt0(sz10,X0)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_44])]) ).
fof(f668,plain,
( spl6_65
<=> ! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_65])]) ).
fof(f717,plain,
( ! [X0] :
( sz10 = X0
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| sz00 = X0 )
| ~ spl6_44
| ~ spl6_65 ),
inference(duplicate_literal_removal,[],[f707]) ).
fof(f707,plain,
( ! [X0] :
( sz10 = X0
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl6_44
| ~ spl6_65 ),
inference(resolution,[],[f669,f522]) ).
fof(f522,plain,
( ! [X0] :
( sdtlseqdt0(sz10,X0)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl6_44 ),
inference(avatar_component_clause,[],[f521]) ).
fof(f669,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_65 ),
inference(avatar_component_clause,[],[f668]) ).
fof(f2323,plain,
( ~ spl6_11
| spl6_180
| ~ spl6_44
| ~ spl6_63 ),
inference(avatar_split_clause,[],[f697,f660,f521,f2321,f303]) ).
fof(f2321,plain,
( spl6_180
<=> ! [X0] :
( iLess0(sz10,X0)
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sz10 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_180])]) ).
fof(f660,plain,
( spl6_63
<=> ! [X0,X1] :
( iLess0(X0,X1)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_63])]) ).
fof(f697,plain,
( ! [X0] :
( iLess0(sz10,X0)
| sz10 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10)
| sz00 = X0 )
| ~ spl6_44
| ~ spl6_63 ),
inference(duplicate_literal_removal,[],[f687]) ).
fof(f687,plain,
( ! [X0] :
( iLess0(sz10,X0)
| sz10 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl6_44
| ~ spl6_63 ),
inference(resolution,[],[f661,f522]) ).
fof(f661,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| iLess0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_63 ),
inference(avatar_component_clause,[],[f660]) ).
fof(f2319,plain,
( spl6_179
| ~ spl6_43
| ~ spl6_63 ),
inference(avatar_split_clause,[],[f696,f660,f507,f2317]) ).
fof(f2317,plain,
( spl6_179
<=> ! [X0,X1] :
( iLess0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_179])]) ).
fof(f696,plain,
( ! [X0,X1] :
( iLess0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X0) )
| ~ spl6_43
| ~ spl6_63 ),
inference(duplicate_literal_removal,[],[f688]) ).
fof(f688,plain,
( ! [X0,X1] :
( iLess0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_43
| ~ spl6_63 ),
inference(resolution,[],[f661,f508]) ).
fof(f2315,plain,
( spl6_178
| ~ spl6_39
| ~ spl6_41 ),
inference(avatar_split_clause,[],[f505,f484,f440,f2313]) ).
fof(f2313,plain,
( spl6_178
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X1,X0) = sdtasdt0(sz10,sdtasdt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_178])]) ).
fof(f505,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X1,X0) = sdtasdt0(sz10,sdtasdt0(X1,X0)) )
| ~ spl6_39
| ~ spl6_41 ),
inference(resolution,[],[f485,f441]) ).
fof(f2311,plain,
( spl6_177
| ~ spl6_37
| ~ spl6_41 ),
inference(avatar_split_clause,[],[f504,f484,f431,f2309]) ).
fof(f2309,plain,
( spl6_177
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X1,X0) = sdtasdt0(sdtasdt0(X1,X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_177])]) ).
fof(f504,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X1,X0) = sdtasdt0(sdtasdt0(X1,X0),sz10) )
| ~ spl6_37
| ~ spl6_41 ),
inference(resolution,[],[f485,f432]) ).
fof(f2307,plain,
( spl6_176
| ~ spl6_36
| ~ spl6_41 ),
inference(avatar_split_clause,[],[f503,f484,f427,f2305]) ).
fof(f2305,plain,
( spl6_176
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X1,X0) = sdtpldt0(sz00,sdtasdt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_176])]) ).
fof(f503,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X1,X0) = sdtpldt0(sz00,sdtasdt0(X1,X0)) )
| ~ spl6_36
| ~ spl6_41 ),
inference(resolution,[],[f485,f428]) ).
fof(f2303,plain,
( spl6_175
| ~ spl6_35
| ~ spl6_41 ),
inference(avatar_split_clause,[],[f502,f484,f423,f2301]) ).
fof(f2301,plain,
( spl6_175
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X1,X0) = sdtpldt0(sdtasdt0(X1,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_175])]) ).
fof(f502,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X1,X0) = sdtpldt0(sdtasdt0(X1,X0),sz00) )
| ~ spl6_35
| ~ spl6_41 ),
inference(resolution,[],[f485,f424]) ).
fof(f2299,plain,
( spl6_174
| ~ spl6_39
| ~ spl6_40 ),
inference(avatar_split_clause,[],[f493,f480,f440,f2297]) ).
fof(f2297,plain,
( spl6_174
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,X0) = sdtasdt0(sz10,sdtpldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_174])]) ).
fof(f480,plain,
( spl6_40
<=> ! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_40])]) ).
fof(f493,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,X0) = sdtasdt0(sz10,sdtpldt0(X1,X0)) )
| ~ spl6_39
| ~ spl6_40 ),
inference(resolution,[],[f481,f441]) ).
fof(f481,plain,
( ! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_40 ),
inference(avatar_component_clause,[],[f480]) ).
fof(f2295,plain,
( spl6_173
| ~ spl6_37
| ~ spl6_40 ),
inference(avatar_split_clause,[],[f492,f480,f431,f2293]) ).
fof(f2293,plain,
( spl6_173
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,X0) = sdtasdt0(sdtpldt0(X1,X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_173])]) ).
fof(f492,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,X0) = sdtasdt0(sdtpldt0(X1,X0),sz10) )
| ~ spl6_37
| ~ spl6_40 ),
inference(resolution,[],[f481,f432]) ).
fof(f2291,plain,
( spl6_172
| ~ spl6_36
| ~ spl6_40 ),
inference(avatar_split_clause,[],[f491,f480,f427,f2289]) ).
fof(f2289,plain,
( spl6_172
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,X0) = sdtpldt0(sz00,sdtpldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_172])]) ).
fof(f491,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,X0) = sdtpldt0(sz00,sdtpldt0(X1,X0)) )
| ~ spl6_36
| ~ spl6_40 ),
inference(resolution,[],[f481,f428]) ).
fof(f2287,plain,
( spl6_171
| ~ spl6_35
| ~ spl6_40 ),
inference(avatar_split_clause,[],[f490,f480,f423,f2285]) ).
fof(f2285,plain,
( spl6_171
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,X0) = sdtpldt0(sdtpldt0(X1,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_171])]) ).
fof(f490,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,X0) = sdtpldt0(sdtpldt0(X1,X0),sz00) )
| ~ spl6_35
| ~ spl6_40 ),
inference(resolution,[],[f481,f424]) ).
fof(f2276,plain,
( ~ spl6_8
| ~ spl6_9
| spl6_170
| ~ spl6_20
| ~ spl6_74 ),
inference(avatar_split_clause,[],[f822,f802,f348,f2274,f293,f288]) ).
fof(f2274,plain,
( spl6_170
<=> ! [X0] :
( sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_170])]) ).
fof(f822,plain,
( ! [X0] :
( sdtlseqdt0(X0,xp)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) )
| ~ spl6_20
| ~ spl6_74 ),
inference(resolution,[],[f803,f350]) ).
fof(f2272,plain,
( spl6_12
| ~ spl6_169
| ~ spl6_29
| ~ spl6_91 ),
inference(avatar_split_clause,[],[f1049,f1003,f397,f2269,f308]) ).
fof(f308,plain,
( spl6_12
<=> sP0(sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_12])]) ).
fof(f2269,plain,
( spl6_169
<=> isPrime0(sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_169])]) ).
fof(f397,plain,
( spl6_29
<=> ! [X0] :
( sP0(X0)
| ~ isPrime0(X0)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_29])]) ).
fof(f1003,plain,
( spl6_91
<=> sP1(sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_91])]) ).
fof(f1049,plain,
( ~ isPrime0(sz10)
| sP0(sz10)
| ~ spl6_29
| ~ spl6_91 ),
inference(resolution,[],[f1005,f398]) ).
fof(f398,plain,
( ! [X0] :
( ~ sP1(X0)
| ~ isPrime0(X0)
| sP0(X0) )
| ~ spl6_29 ),
inference(avatar_component_clause,[],[f397]) ).
fof(f1005,plain,
( sP1(sz10)
| ~ spl6_91 ),
inference(avatar_component_clause,[],[f1003]) ).
fof(f2260,plain,
( ~ spl6_7
| ~ spl6_9
| spl6_168
| ~ spl6_18
| ~ spl6_74 ),
inference(avatar_split_clause,[],[f821,f802,f338,f2258,f293,f283]) ).
fof(f2258,plain,
( spl6_168
<=> ! [X0] :
( sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_168])]) ).
fof(f821,plain,
( ! [X0] :
( sdtlseqdt0(X0,xp)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) )
| ~ spl6_18
| ~ spl6_74 ),
inference(resolution,[],[f803,f340]) ).
fof(f2190,plain,
( spl6_167
| ~ spl6_25
| ~ spl6_53 ),
inference(avatar_split_clause,[],[f613,f558,f373,f2188]) ).
fof(f2188,plain,
( spl6_167
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sP1(sdtmndt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_167])]) ).
fof(f613,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sP1(sdtmndt0(X1,X0)) )
| ~ spl6_25
| ~ spl6_53 ),
inference(resolution,[],[f559,f374]) ).
fof(f2186,plain,
( spl6_166
| ~ spl6_25
| ~ spl6_52 ),
inference(avatar_split_clause,[],[f604,f554,f373,f2184]) ).
fof(f2184,plain,
( spl6_166
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sP1(sK5(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_166])]) ).
fof(f604,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sP1(sK5(X0,X1)) )
| ~ spl6_25
| ~ spl6_52 ),
inference(resolution,[],[f555,f374]) ).
fof(f2182,plain,
( spl6_165
| ~ spl6_25
| ~ spl6_50 ),
inference(avatar_split_clause,[],[f595,f545,f373,f2180]) ).
fof(f2180,plain,
( spl6_165
<=> ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sP1(sK4(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_165])]) ).
fof(f595,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sP1(sK4(X0,X1)) )
| ~ spl6_25
| ~ spl6_50 ),
inference(resolution,[],[f546,f374]) ).
fof(f2178,plain,
( spl6_164
| ~ spl6_25
| ~ spl6_46 ),
inference(avatar_split_clause,[],[f568,f529,f373,f2176]) ).
fof(f2176,plain,
( spl6_164
<=> ! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sP1(sK3(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_164])]) ).
fof(f568,plain,
( ! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sP1(sK3(X0)) )
| ~ spl6_25
| ~ spl6_46 ),
inference(resolution,[],[f530,f374]) ).
fof(f2174,plain,
( spl6_163
| ~ spl6_25
| ~ spl6_45 ),
inference(avatar_split_clause,[],[f561,f525,f373,f2172]) ).
fof(f2172,plain,
( spl6_163
<=> ! [X0] :
( sP0(X0)
| sz10 = X0
| sz00 = X0
| sP1(sK2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_163])]) ).
fof(f561,plain,
( ! [X0] :
( sP0(X0)
| sz10 = X0
| sz00 = X0
| sP1(sK2(X0)) )
| ~ spl6_25
| ~ spl6_45 ),
inference(resolution,[],[f526,f374]) ).
fof(f2170,plain,
( spl6_162
| ~ spl6_34
| ~ spl6_41 ),
inference(avatar_split_clause,[],[f501,f484,f419,f2168]) ).
fof(f2168,plain,
( spl6_162
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = sdtasdt0(sz00,sdtasdt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_162])]) ).
fof(f501,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = sdtasdt0(sz00,sdtasdt0(X1,X0)) )
| ~ spl6_34
| ~ spl6_41 ),
inference(resolution,[],[f485,f420]) ).
fof(f2166,plain,
( spl6_161
| ~ spl6_33
| ~ spl6_41 ),
inference(avatar_split_clause,[],[f500,f484,f415,f2164]) ).
fof(f2164,plain,
( spl6_161
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = sdtasdt0(sdtasdt0(X1,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_161])]) ).
fof(f500,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = sdtasdt0(sdtasdt0(X1,X0),sz00) )
| ~ spl6_33
| ~ spl6_41 ),
inference(resolution,[],[f485,f416]) ).
fof(f2162,plain,
( spl6_160
| ~ spl6_34
| ~ spl6_40 ),
inference(avatar_split_clause,[],[f489,f480,f419,f2160]) ).
fof(f2160,plain,
( spl6_160
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = sdtasdt0(sz00,sdtpldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_160])]) ).
fof(f489,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = sdtasdt0(sz00,sdtpldt0(X1,X0)) )
| ~ spl6_34
| ~ spl6_40 ),
inference(resolution,[],[f481,f420]) ).
fof(f2158,plain,
( spl6_159
| ~ spl6_33
| ~ spl6_40 ),
inference(avatar_split_clause,[],[f488,f480,f415,f2156]) ).
fof(f2156,plain,
( spl6_159
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = sdtasdt0(sdtpldt0(X1,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_159])]) ).
fof(f488,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = sdtasdt0(sdtpldt0(X1,X0),sz00) )
| ~ spl6_33
| ~ spl6_40 ),
inference(resolution,[],[f481,f416]) ).
fof(f2154,plain,
( spl6_13
| ~ spl6_158
| ~ spl6_29
| ~ spl6_87 ),
inference(avatar_split_clause,[],[f1047,f936,f397,f2151,f313]) ).
fof(f2151,plain,
( spl6_158
<=> isPrime0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_158])]) ).
fof(f936,plain,
( spl6_87
<=> sP1(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_87])]) ).
fof(f1047,plain,
( ~ isPrime0(sz00)
| sP0(sz00)
| ~ spl6_29
| ~ spl6_87 ),
inference(resolution,[],[f938,f398]) ).
fof(f938,plain,
( sP1(sz00)
| ~ spl6_87 ),
inference(avatar_component_clause,[],[f936]) ).
fof(f2131,plain,
( ~ spl6_8
| ~ spl6_9
| spl6_157
| ~ spl6_20
| ~ spl6_70 ),
inference(avatar_split_clause,[],[f775,f736,f348,f2128,f293,f288]) ).
fof(f2128,plain,
( spl6_157
<=> xp = sdtpldt0(xm,sdtmndt0(xp,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_157])]) ).
fof(f775,plain,
( xp = sdtpldt0(xm,sdtmndt0(xp,xm))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ spl6_20
| ~ spl6_70 ),
inference(resolution,[],[f737,f350]) ).
fof(f2108,plain,
( ~ spl6_7
| ~ spl6_9
| spl6_156
| ~ spl6_18
| ~ spl6_70 ),
inference(avatar_split_clause,[],[f774,f736,f338,f2105,f293,f283]) ).
fof(f2105,plain,
( spl6_156
<=> xp = sdtpldt0(xn,sdtmndt0(xp,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_156])]) ).
fof(f774,plain,
( xp = sdtpldt0(xn,sdtmndt0(xp,xn))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ spl6_18
| ~ spl6_70 ),
inference(resolution,[],[f737,f340]) ).
fof(f2085,plain,
( ~ spl6_8
| ~ spl6_9
| spl6_155
| ~ spl6_20
| ~ spl6_69 ),
inference(avatar_split_clause,[],[f760,f732,f348,f2082,f293,f288]) ).
fof(f2082,plain,
( spl6_155
<=> xp = sdtpldt0(xm,sK5(xm,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_155])]) ).
fof(f760,plain,
( xp = sdtpldt0(xm,sK5(xm,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ spl6_20
| ~ spl6_69 ),
inference(resolution,[],[f733,f350]) ).
fof(f2062,plain,
( ~ spl6_7
| ~ spl6_9
| spl6_154
| ~ spl6_18
| ~ spl6_69 ),
inference(avatar_split_clause,[],[f759,f732,f338,f2059,f293,f283]) ).
fof(f2059,plain,
( spl6_154
<=> xp = sdtpldt0(xn,sK5(xn,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_154])]) ).
fof(f759,plain,
( xp = sdtpldt0(xn,sK5(xn,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ spl6_18
| ~ spl6_69 ),
inference(resolution,[],[f733,f340]) ).
fof(f2057,plain,
( ~ spl6_8
| ~ spl6_9
| spl6_19
| spl6_153
| ~ spl6_20
| ~ spl6_63 ),
inference(avatar_split_clause,[],[f692,f660,f348,f2054,f343,f293,f288]) ).
fof(f2054,plain,
( spl6_153
<=> iLess0(xm,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_153])]) ).
fof(f692,plain,
( iLess0(xm,xp)
| xm = xp
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ spl6_20
| ~ spl6_63 ),
inference(resolution,[],[f661,f350]) ).
fof(f2052,plain,
( ~ spl6_7
| ~ spl6_9
| spl6_17
| spl6_152
| ~ spl6_18
| ~ spl6_63 ),
inference(avatar_split_clause,[],[f691,f660,f338,f2049,f333,f293,f283]) ).
fof(f2049,plain,
( spl6_152
<=> iLess0(xn,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_152])]) ).
fof(f691,plain,
( iLess0(xn,xp)
| xn = xp
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ spl6_18
| ~ spl6_63 ),
inference(resolution,[],[f661,f340]) ).
fof(f2047,plain,
( ~ spl6_149
| ~ spl6_5
| spl6_150
| spl6_151
| ~ spl6_16
| ~ spl6_62 ),
inference(avatar_split_clause,[],[f682,f656,f328,f2044,f2040,f273,f2036]) ).
fof(f2036,plain,
( spl6_149
<=> sP0(xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_149])]) ).
fof(f2040,plain,
( spl6_150
<=> xk = xr ),
introduced(avatar_definition,[new_symbols(naming,[spl6_150])]) ).
fof(f2044,plain,
( spl6_151
<=> sz10 = xr ),
introduced(avatar_definition,[new_symbols(naming,[spl6_151])]) ).
fof(f328,plain,
( spl6_16
<=> doDivides0(xr,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_16])]) ).
fof(f682,plain,
( sz10 = xr
| xk = xr
| ~ aNaturalNumber0(xr)
| ~ sP0(xk)
| ~ spl6_16
| ~ spl6_62 ),
inference(resolution,[],[f657,f330]) ).
fof(f330,plain,
( doDivides0(xr,xk)
| ~ spl6_16 ),
inference(avatar_component_clause,[],[f328]) ).
fof(f1968,plain,
( spl6_148
| ~ spl6_6
| ~ spl6_29
| ~ spl6_61 ),
inference(avatar_split_clause,[],[f863,f651,f397,f278,f1965]) ).
fof(f1965,plain,
( spl6_148
<=> sP0(xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_148])]) ).
fof(f278,plain,
( spl6_6
<=> isPrime0(xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_6])]) ).
fof(f651,plain,
( spl6_61
<=> sP1(xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_61])]) ).
fof(f863,plain,
( ~ isPrime0(xr)
| sP0(xr)
| ~ spl6_29
| ~ spl6_61 ),
inference(resolution,[],[f653,f398]) ).
fof(f653,plain,
( sP1(xr)
| ~ spl6_61 ),
inference(avatar_component_clause,[],[f651]) ).
fof(f1929,plain,
( spl6_147
| ~ spl6_28
| ~ spl6_70 ),
inference(avatar_split_clause,[],[f782,f736,f393,f1927]) ).
fof(f1927,plain,
( spl6_147
<=> ! [X0] :
( sdtpldt0(X0,sdtmndt0(X0,X0)) = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_147])]) ).
fof(f393,plain,
( spl6_28
<=> ! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_28])]) ).
fof(f782,plain,
( ! [X0] :
( sdtpldt0(X0,sdtmndt0(X0,X0)) = X0
| ~ aNaturalNumber0(X0) )
| ~ spl6_28
| ~ spl6_70 ),
inference(duplicate_literal_removal,[],[f768]) ).
fof(f768,plain,
( ! [X0] :
( sdtpldt0(X0,sdtmndt0(X0,X0)) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_28
| ~ spl6_70 ),
inference(resolution,[],[f737,f394]) ).
fof(f394,plain,
( ! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_28 ),
inference(avatar_component_clause,[],[f393]) ).
fof(f1925,plain,
( spl6_146
| ~ spl6_28
| ~ spl6_69 ),
inference(avatar_split_clause,[],[f767,f732,f393,f1923]) ).
fof(f1923,plain,
( spl6_146
<=> ! [X0] :
( sdtpldt0(X0,sK5(X0,X0)) = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_146])]) ).
fof(f767,plain,
( ! [X0] :
( sdtpldt0(X0,sK5(X0,X0)) = X0
| ~ aNaturalNumber0(X0) )
| ~ spl6_28
| ~ spl6_69 ),
inference(duplicate_literal_removal,[],[f753]) ).
fof(f753,plain,
( ! [X0] :
( sdtpldt0(X0,sK5(X0,X0)) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_28
| ~ spl6_69 ),
inference(resolution,[],[f733,f394]) ).
fof(f1921,plain,
( spl6_145
| ~ spl6_11
| ~ spl6_49 ),
inference(avatar_split_clause,[],[f586,f541,f303,f1919]) ).
fof(f1919,plain,
( spl6_145
<=> ! [X0] :
( sdtasdt0(X0,sz10) = sdtasdt0(sz10,X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_145])]) ).
fof(f541,plain,
( spl6_49
<=> ! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_49])]) ).
fof(f586,plain,
( ! [X0] :
( sdtasdt0(X0,sz10) = sdtasdt0(sz10,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_11
| ~ spl6_49 ),
inference(resolution,[],[f542,f305]) ).
fof(f542,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_49 ),
inference(avatar_component_clause,[],[f541]) ).
fof(f1917,plain,
( spl6_144
| ~ spl6_10
| ~ spl6_49 ),
inference(avatar_split_clause,[],[f585,f541,f298,f1915]) ).
fof(f1915,plain,
( spl6_144
<=> ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sz00,X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_144])]) ).
fof(f585,plain,
( ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sz00,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_10
| ~ spl6_49 ),
inference(resolution,[],[f542,f300]) ).
fof(f1913,plain,
( spl6_143
| ~ spl6_11
| ~ spl6_48 ),
inference(avatar_split_clause,[],[f576,f537,f303,f1911]) ).
fof(f1911,plain,
( spl6_143
<=> ! [X0] :
( sdtpldt0(X0,sz10) = sdtpldt0(sz10,X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_143])]) ).
fof(f537,plain,
( spl6_48
<=> ! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_48])]) ).
fof(f576,plain,
( ! [X0] :
( sdtpldt0(X0,sz10) = sdtpldt0(sz10,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_11
| ~ spl6_48 ),
inference(resolution,[],[f538,f305]) ).
fof(f538,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_48 ),
inference(avatar_component_clause,[],[f537]) ).
fof(f1909,plain,
( spl6_142
| ~ spl6_10
| ~ spl6_48 ),
inference(avatar_split_clause,[],[f575,f537,f298,f1907]) ).
fof(f1907,plain,
( spl6_142
<=> ! [X0] :
( sdtpldt0(X0,sz00) = sdtpldt0(sz00,X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_142])]) ).
fof(f575,plain,
( ! [X0] :
( sdtpldt0(X0,sz00) = sdtpldt0(sz00,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_10
| ~ spl6_48 ),
inference(resolution,[],[f538,f300]) ).
fof(f1781,plain,
( spl6_141
| ~ spl6_5
| ~ spl6_49 ),
inference(avatar_split_clause,[],[f592,f541,f273,f1779]) ).
fof(f1779,plain,
( spl6_141
<=> ! [X0] :
( sdtasdt0(X0,xr) = sdtasdt0(xr,X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_141])]) ).
fof(f592,plain,
( ! [X0] :
( sdtasdt0(X0,xr) = sdtasdt0(xr,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_5
| ~ spl6_49 ),
inference(resolution,[],[f542,f275]) ).
fof(f1777,plain,
( spl6_140
| ~ spl6_9
| ~ spl6_49 ),
inference(avatar_split_clause,[],[f591,f541,f293,f1775]) ).
fof(f1775,plain,
( spl6_140
<=> ! [X0] :
( sdtasdt0(X0,xp) = sdtasdt0(xp,X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_140])]) ).
fof(f591,plain,
( ! [X0] :
( sdtasdt0(X0,xp) = sdtasdt0(xp,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_9
| ~ spl6_49 ),
inference(resolution,[],[f542,f295]) ).
fof(f1773,plain,
( spl6_139
| ~ spl6_8
| ~ spl6_49 ),
inference(avatar_split_clause,[],[f590,f541,f288,f1771]) ).
fof(f1771,plain,
( spl6_139
<=> ! [X0] :
( sdtasdt0(X0,xm) = sdtasdt0(xm,X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_139])]) ).
fof(f590,plain,
( ! [X0] :
( sdtasdt0(X0,xm) = sdtasdt0(xm,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_8
| ~ spl6_49 ),
inference(resolution,[],[f542,f290]) ).
fof(f1769,plain,
( spl6_138
| ~ spl6_7
| ~ spl6_49 ),
inference(avatar_split_clause,[],[f589,f541,f283,f1767]) ).
fof(f1767,plain,
( spl6_138
<=> ! [X0] :
( sdtasdt0(X0,xn) = sdtasdt0(xn,X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_138])]) ).
fof(f589,plain,
( ! [X0] :
( sdtasdt0(X0,xn) = sdtasdt0(xn,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_7
| ~ spl6_49 ),
inference(resolution,[],[f542,f285]) ).
fof(f1765,plain,
( spl6_137
| ~ spl6_4
| ~ spl6_29
| ~ spl6_42 ),
inference(avatar_split_clause,[],[f814,f495,f397,f268,f1762]) ).
fof(f495,plain,
( spl6_42
<=> sP1(xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_42])]) ).
fof(f814,plain,
( ~ isPrime0(xp)
| sP0(xp)
| ~ spl6_29
| ~ spl6_42 ),
inference(resolution,[],[f497,f398]) ).
fof(f497,plain,
( sP1(xp)
| ~ spl6_42 ),
inference(avatar_component_clause,[],[f495]) ).
fof(f1760,plain,
( spl6_136
| ~ spl6_5
| ~ spl6_48 ),
inference(avatar_split_clause,[],[f582,f537,f273,f1758]) ).
fof(f1758,plain,
( spl6_136
<=> ! [X0] :
( sdtpldt0(X0,xr) = sdtpldt0(xr,X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_136])]) ).
fof(f582,plain,
( ! [X0] :
( sdtpldt0(X0,xr) = sdtpldt0(xr,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_5
| ~ spl6_48 ),
inference(resolution,[],[f538,f275]) ).
fof(f1756,plain,
( spl6_135
| ~ spl6_9
| ~ spl6_48 ),
inference(avatar_split_clause,[],[f581,f537,f293,f1754]) ).
fof(f1754,plain,
( spl6_135
<=> ! [X0] :
( sdtpldt0(X0,xp) = sdtpldt0(xp,X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_135])]) ).
fof(f581,plain,
( ! [X0] :
( sdtpldt0(X0,xp) = sdtpldt0(xp,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_9
| ~ spl6_48 ),
inference(resolution,[],[f538,f295]) ).
fof(f1752,plain,
( spl6_134
| ~ spl6_8
| ~ spl6_48 ),
inference(avatar_split_clause,[],[f580,f537,f288,f1750]) ).
fof(f1750,plain,
( spl6_134
<=> ! [X0] :
( sdtpldt0(X0,xm) = sdtpldt0(xm,X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_134])]) ).
fof(f580,plain,
( ! [X0] :
( sdtpldt0(X0,xm) = sdtpldt0(xm,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_8
| ~ spl6_48 ),
inference(resolution,[],[f538,f290]) ).
fof(f1748,plain,
( spl6_133
| ~ spl6_7
| ~ spl6_48 ),
inference(avatar_split_clause,[],[f579,f537,f283,f1746]) ).
fof(f1746,plain,
( spl6_133
<=> ! [X0] :
( sdtpldt0(X0,xn) = sdtpldt0(xn,X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_133])]) ).
fof(f579,plain,
( ! [X0] :
( sdtpldt0(X0,xn) = sdtpldt0(xn,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_7
| ~ spl6_48 ),
inference(resolution,[],[f538,f285]) ).
fof(f1706,plain,
( spl6_132
| ~ spl6_25
| ~ spl6_41 ),
inference(avatar_split_clause,[],[f499,f484,f373,f1704]) ).
fof(f1704,plain,
( spl6_132
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sP1(sdtasdt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_132])]) ).
fof(f499,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sP1(sdtasdt0(X1,X0)) )
| ~ spl6_25
| ~ spl6_41 ),
inference(resolution,[],[f485,f374]) ).
fof(f1702,plain,
( spl6_131
| ~ spl6_25
| ~ spl6_40 ),
inference(avatar_split_clause,[],[f487,f480,f373,f1700]) ).
fof(f1700,plain,
( spl6_131
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sP1(sdtpldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_131])]) ).
fof(f487,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sP1(sdtpldt0(X1,X0)) )
| ~ spl6_25
| ~ spl6_40 ),
inference(resolution,[],[f481,f374]) ).
fof(f1570,plain,
( spl6_130
| ~ spl6_11
| ~ spl6_37 ),
inference(avatar_split_clause,[],[f468,f431,f303,f1567]) ).
fof(f468,plain,
( sz10 = sdtasdt0(sz10,sz10)
| ~ spl6_11
| ~ spl6_37 ),
inference(resolution,[],[f432,f305]) ).
fof(f1565,plain,
( spl6_129
| ~ spl6_11
| ~ spl6_36 ),
inference(avatar_split_clause,[],[f462,f427,f303,f1562]) ).
fof(f1562,plain,
( spl6_129
<=> sz10 = sdtpldt0(sz00,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_129])]) ).
fof(f462,plain,
( sz10 = sdtpldt0(sz00,sz10)
| ~ spl6_11
| ~ spl6_36 ),
inference(resolution,[],[f428,f305]) ).
fof(f1560,plain,
( spl6_128
| ~ spl6_11
| ~ spl6_35 ),
inference(avatar_split_clause,[],[f456,f423,f303,f1557]) ).
fof(f1557,plain,
( spl6_128
<=> sz10 = sdtpldt0(sz10,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_128])]) ).
fof(f456,plain,
( sz10 = sdtpldt0(sz10,sz00)
| ~ spl6_11
| ~ spl6_35 ),
inference(resolution,[],[f424,f305]) ).
fof(f1555,plain,
( spl6_127
| ~ spl6_10
| ~ spl6_35 ),
inference(avatar_split_clause,[],[f455,f423,f298,f1552]) ).
fof(f1552,plain,
( spl6_127
<=> sz00 = sdtpldt0(sz00,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_127])]) ).
fof(f455,plain,
( sz00 = sdtpldt0(sz00,sz00)
| ~ spl6_10
| ~ spl6_35 ),
inference(resolution,[],[f424,f300]) ).
fof(f1550,plain,
( spl6_126
| ~ spl6_11
| ~ spl6_34 ),
inference(avatar_split_clause,[],[f450,f419,f303,f1547]) ).
fof(f1547,plain,
( spl6_126
<=> sz00 = sdtasdt0(sz00,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_126])]) ).
fof(f450,plain,
( sz00 = sdtasdt0(sz00,sz10)
| ~ spl6_11
| ~ spl6_34 ),
inference(resolution,[],[f420,f305]) ).
fof(f1545,plain,
( spl6_125
| ~ spl6_11
| ~ spl6_33 ),
inference(avatar_split_clause,[],[f444,f415,f303,f1542]) ).
fof(f1542,plain,
( spl6_125
<=> sz00 = sdtasdt0(sz10,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_125])]) ).
fof(f444,plain,
( sz00 = sdtasdt0(sz10,sz00)
| ~ spl6_11
| ~ spl6_33 ),
inference(resolution,[],[f416,f305]) ).
fof(f1540,plain,
( spl6_124
| ~ spl6_10
| ~ spl6_33 ),
inference(avatar_split_clause,[],[f443,f415,f298,f1537]) ).
fof(f443,plain,
( sz00 = sdtasdt0(sz00,sz00)
| ~ spl6_10
| ~ spl6_33 ),
inference(resolution,[],[f416,f300]) ).
fof(f1431,plain,
( spl6_122
| ~ spl6_123
| ~ spl6_31
| ~ spl6_38 ),
inference(avatar_split_clause,[],[f739,f435,f406,f1428,f1424]) ).
fof(f1424,plain,
( spl6_122
<=> isPrime0(xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_122])]) ).
fof(f1428,plain,
( spl6_123
<=> sP0(xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_123])]) ).
fof(f406,plain,
( spl6_31
<=> ! [X0] :
( isPrime0(X0)
| ~ sP0(X0)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_31])]) ).
fof(f435,plain,
( spl6_38
<=> sP1(xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_38])]) ).
fof(f739,plain,
( ~ sP0(xm)
| isPrime0(xm)
| ~ spl6_31
| ~ spl6_38 ),
inference(resolution,[],[f437,f407]) ).
fof(f407,plain,
( ! [X0] :
( ~ sP1(X0)
| ~ sP0(X0)
| isPrime0(X0) )
| ~ spl6_31 ),
inference(avatar_component_clause,[],[f406]) ).
fof(f437,plain,
( sP1(xm)
| ~ spl6_38 ),
inference(avatar_component_clause,[],[f435]) ).
fof(f1178,plain,
( spl6_121
| ~ spl6_5
| ~ spl6_39 ),
inference(avatar_split_clause,[],[f478,f440,f273,f1175]) ).
fof(f1175,plain,
( spl6_121
<=> xr = sdtasdt0(sz10,xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_121])]) ).
fof(f478,plain,
( xr = sdtasdt0(sz10,xr)
| ~ spl6_5
| ~ spl6_39 ),
inference(resolution,[],[f441,f275]) ).
fof(f1173,plain,
( spl6_120
| ~ spl6_9
| ~ spl6_39 ),
inference(avatar_split_clause,[],[f477,f440,f293,f1170]) ).
fof(f1170,plain,
( spl6_120
<=> xp = sdtasdt0(sz10,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_120])]) ).
fof(f477,plain,
( xp = sdtasdt0(sz10,xp)
| ~ spl6_9
| ~ spl6_39 ),
inference(resolution,[],[f441,f295]) ).
fof(f1168,plain,
( spl6_119
| ~ spl6_8
| ~ spl6_39 ),
inference(avatar_split_clause,[],[f476,f440,f288,f1165]) ).
fof(f1165,plain,
( spl6_119
<=> xm = sdtasdt0(sz10,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_119])]) ).
fof(f476,plain,
( xm = sdtasdt0(sz10,xm)
| ~ spl6_8
| ~ spl6_39 ),
inference(resolution,[],[f441,f290]) ).
fof(f1163,plain,
( spl6_118
| ~ spl6_7
| ~ spl6_39 ),
inference(avatar_split_clause,[],[f475,f440,f283,f1160]) ).
fof(f1160,plain,
( spl6_118
<=> xn = sdtasdt0(sz10,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_118])]) ).
fof(f475,plain,
( xn = sdtasdt0(sz10,xn)
| ~ spl6_7
| ~ spl6_39 ),
inference(resolution,[],[f441,f285]) ).
fof(f1158,plain,
( spl6_117
| ~ spl6_5
| ~ spl6_37 ),
inference(avatar_split_clause,[],[f472,f431,f273,f1155]) ).
fof(f1155,plain,
( spl6_117
<=> xr = sdtasdt0(xr,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_117])]) ).
fof(f472,plain,
( xr = sdtasdt0(xr,sz10)
| ~ spl6_5
| ~ spl6_37 ),
inference(resolution,[],[f432,f275]) ).
fof(f1153,plain,
( spl6_116
| ~ spl6_9
| ~ spl6_37 ),
inference(avatar_split_clause,[],[f471,f431,f293,f1150]) ).
fof(f1150,plain,
( spl6_116
<=> xp = sdtasdt0(xp,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_116])]) ).
fof(f471,plain,
( xp = sdtasdt0(xp,sz10)
| ~ spl6_9
| ~ spl6_37 ),
inference(resolution,[],[f432,f295]) ).
fof(f1148,plain,
( spl6_115
| ~ spl6_8
| ~ spl6_37 ),
inference(avatar_split_clause,[],[f470,f431,f288,f1145]) ).
fof(f1145,plain,
( spl6_115
<=> xm = sdtasdt0(xm,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_115])]) ).
fof(f470,plain,
( xm = sdtasdt0(xm,sz10)
| ~ spl6_8
| ~ spl6_37 ),
inference(resolution,[],[f432,f290]) ).
fof(f1143,plain,
( spl6_114
| ~ spl6_7
| ~ spl6_37 ),
inference(avatar_split_clause,[],[f469,f431,f283,f1140]) ).
fof(f1140,plain,
( spl6_114
<=> xn = sdtasdt0(xn,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_114])]) ).
fof(f469,plain,
( xn = sdtasdt0(xn,sz10)
| ~ spl6_7
| ~ spl6_37 ),
inference(resolution,[],[f432,f285]) ).
fof(f1138,plain,
( spl6_113
| ~ spl6_5
| ~ spl6_36 ),
inference(avatar_split_clause,[],[f466,f427,f273,f1135]) ).
fof(f1135,plain,
( spl6_113
<=> xr = sdtpldt0(sz00,xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_113])]) ).
fof(f466,plain,
( xr = sdtpldt0(sz00,xr)
| ~ spl6_5
| ~ spl6_36 ),
inference(resolution,[],[f428,f275]) ).
fof(f1133,plain,
( spl6_112
| ~ spl6_9
| ~ spl6_36 ),
inference(avatar_split_clause,[],[f465,f427,f293,f1130]) ).
fof(f1130,plain,
( spl6_112
<=> xp = sdtpldt0(sz00,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_112])]) ).
fof(f465,plain,
( xp = sdtpldt0(sz00,xp)
| ~ spl6_9
| ~ spl6_36 ),
inference(resolution,[],[f428,f295]) ).
fof(f1128,plain,
( spl6_111
| ~ spl6_8
| ~ spl6_36 ),
inference(avatar_split_clause,[],[f464,f427,f288,f1125]) ).
fof(f1125,plain,
( spl6_111
<=> xm = sdtpldt0(sz00,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_111])]) ).
fof(f464,plain,
( xm = sdtpldt0(sz00,xm)
| ~ spl6_8
| ~ spl6_36 ),
inference(resolution,[],[f428,f290]) ).
fof(f1123,plain,
( spl6_110
| ~ spl6_7
| ~ spl6_36 ),
inference(avatar_split_clause,[],[f463,f427,f283,f1120]) ).
fof(f1120,plain,
( spl6_110
<=> xn = sdtpldt0(sz00,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_110])]) ).
fof(f463,plain,
( xn = sdtpldt0(sz00,xn)
| ~ spl6_7
| ~ spl6_36 ),
inference(resolution,[],[f428,f285]) ).
fof(f1118,plain,
( spl6_109
| ~ spl6_5
| ~ spl6_35 ),
inference(avatar_split_clause,[],[f460,f423,f273,f1115]) ).
fof(f1115,plain,
( spl6_109
<=> xr = sdtpldt0(xr,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_109])]) ).
fof(f460,plain,
( xr = sdtpldt0(xr,sz00)
| ~ spl6_5
| ~ spl6_35 ),
inference(resolution,[],[f424,f275]) ).
fof(f1113,plain,
( spl6_108
| ~ spl6_9
| ~ spl6_35 ),
inference(avatar_split_clause,[],[f459,f423,f293,f1110]) ).
fof(f1110,plain,
( spl6_108
<=> xp = sdtpldt0(xp,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_108])]) ).
fof(f459,plain,
( xp = sdtpldt0(xp,sz00)
| ~ spl6_9
| ~ spl6_35 ),
inference(resolution,[],[f424,f295]) ).
fof(f1108,plain,
( spl6_106
| ~ spl6_107
| ~ spl6_30
| ~ spl6_31 ),
inference(avatar_split_clause,[],[f675,f406,f401,f1105,f1101]) ).
fof(f1101,plain,
( spl6_106
<=> isPrime0(xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_106])]) ).
fof(f1105,plain,
( spl6_107
<=> sP0(xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_107])]) ).
fof(f401,plain,
( spl6_30
<=> sP1(xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_30])]) ).
fof(f675,plain,
( ~ sP0(xn)
| isPrime0(xn)
| ~ spl6_30
| ~ spl6_31 ),
inference(resolution,[],[f403,f407]) ).
fof(f403,plain,
( sP1(xn)
| ~ spl6_30 ),
inference(avatar_component_clause,[],[f401]) ).
fof(f1099,plain,
( spl6_105
| ~ spl6_8
| ~ spl6_35 ),
inference(avatar_split_clause,[],[f458,f423,f288,f1096]) ).
fof(f1096,plain,
( spl6_105
<=> xm = sdtpldt0(xm,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_105])]) ).
fof(f458,plain,
( xm = sdtpldt0(xm,sz00)
| ~ spl6_8
| ~ spl6_35 ),
inference(resolution,[],[f424,f290]) ).
fof(f1094,plain,
( spl6_104
| ~ spl6_7
| ~ spl6_35 ),
inference(avatar_split_clause,[],[f457,f423,f283,f1091]) ).
fof(f1091,plain,
( spl6_104
<=> xn = sdtpldt0(xn,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_104])]) ).
fof(f457,plain,
( xn = sdtpldt0(xn,sz00)
| ~ spl6_7
| ~ spl6_35 ),
inference(resolution,[],[f424,f285]) ).
fof(f1089,plain,
( spl6_103
| ~ spl6_5
| ~ spl6_34 ),
inference(avatar_split_clause,[],[f454,f419,f273,f1086]) ).
fof(f1086,plain,
( spl6_103
<=> sz00 = sdtasdt0(sz00,xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_103])]) ).
fof(f454,plain,
( sz00 = sdtasdt0(sz00,xr)
| ~ spl6_5
| ~ spl6_34 ),
inference(resolution,[],[f420,f275]) ).
fof(f1084,plain,
( spl6_102
| ~ spl6_9
| ~ spl6_34 ),
inference(avatar_split_clause,[],[f453,f419,f293,f1081]) ).
fof(f1081,plain,
( spl6_102
<=> sz00 = sdtasdt0(sz00,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_102])]) ).
fof(f453,plain,
( sz00 = sdtasdt0(sz00,xp)
| ~ spl6_9
| ~ spl6_34 ),
inference(resolution,[],[f420,f295]) ).
fof(f1079,plain,
( spl6_101
| ~ spl6_8
| ~ spl6_34 ),
inference(avatar_split_clause,[],[f452,f419,f288,f1076]) ).
fof(f1076,plain,
( spl6_101
<=> sz00 = sdtasdt0(sz00,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_101])]) ).
fof(f452,plain,
( sz00 = sdtasdt0(sz00,xm)
| ~ spl6_8
| ~ spl6_34 ),
inference(resolution,[],[f420,f290]) ).
fof(f1074,plain,
( spl6_100
| ~ spl6_7
| ~ spl6_34 ),
inference(avatar_split_clause,[],[f451,f419,f283,f1071]) ).
fof(f1071,plain,
( spl6_100
<=> sz00 = sdtasdt0(sz00,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_100])]) ).
fof(f451,plain,
( sz00 = sdtasdt0(sz00,xn)
| ~ spl6_7
| ~ spl6_34 ),
inference(resolution,[],[f420,f285]) ).
fof(f1069,plain,
( spl6_99
| ~ spl6_5
| ~ spl6_33 ),
inference(avatar_split_clause,[],[f448,f415,f273,f1066]) ).
fof(f1066,plain,
( spl6_99
<=> sz00 = sdtasdt0(xr,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_99])]) ).
fof(f448,plain,
( sz00 = sdtasdt0(xr,sz00)
| ~ spl6_5
| ~ spl6_33 ),
inference(resolution,[],[f416,f275]) ).
fof(f1064,plain,
( spl6_98
| ~ spl6_9
| ~ spl6_33 ),
inference(avatar_split_clause,[],[f447,f415,f293,f1061]) ).
fof(f447,plain,
( sz00 = sdtasdt0(xp,sz00)
| ~ spl6_9
| ~ spl6_33 ),
inference(resolution,[],[f416,f295]) ).
fof(f1059,plain,
( spl6_97
| ~ spl6_8
| ~ spl6_33 ),
inference(avatar_split_clause,[],[f446,f415,f288,f1056]) ).
fof(f446,plain,
( sz00 = sdtasdt0(xm,sz00)
| ~ spl6_8
| ~ spl6_33 ),
inference(resolution,[],[f416,f290]) ).
fof(f1054,plain,
( spl6_96
| ~ spl6_7
| ~ spl6_33 ),
inference(avatar_split_clause,[],[f445,f415,f283,f1051]) ).
fof(f445,plain,
( sz00 = sdtasdt0(xn,sz00)
| ~ spl6_7
| ~ spl6_33 ),
inference(resolution,[],[f416,f285]) ).
fof(f1045,plain,
spl6_95,
inference(avatar_split_clause,[],[f168,f1043]) ).
fof(f1043,plain,
( spl6_95
<=> ! [X2,X0,X1] :
( doDivides0(X2,X1)
| doDivides0(X2,X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X2,sdtasdt0(X0,X1))
| ~ isPrime0(X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_95])]) ).
fof(f168,plain,
! [X2,X0,X1] :
( doDivides0(X2,X1)
| doDivides0(X2,X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X2,sdtasdt0(X0,X1))
| ~ isPrime0(X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1,X2] :
( doDivides0(X2,X1)
| doDivides0(X2,X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X2,sdtasdt0(X0,X1))
| ~ isPrime0(X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f56]) ).
fof(f56,plain,
! [X0,X1,X2] :
( doDivides0(X2,X1)
| doDivides0(X2,X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X2,sdtasdt0(X0,X1))
| ~ isPrime0(X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X2,sdtasdt0(X0,X1))
& isPrime0(X2) )
=> ( iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
=> ( doDivides0(X2,X1)
| doDivides0(X2,X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1799) ).
fof(f1028,plain,
spl6_94,
inference(avatar_split_clause,[],[f247,f1026]) ).
fof(f1026,plain,
( spl6_94
<=> ! [X2,X0] :
( sdtsldt0(sdtasdt0(X0,X2),X0) = X2
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X0,sdtasdt0(X0,X2))
| sz00 = X0
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_94])]) ).
fof(f247,plain,
! [X2,X0] :
( sdtsldt0(sdtasdt0(X0,X2),X0) = X2
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X0,sdtasdt0(X0,X2))
| sz00 = X0
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f217]) ).
fof(f217,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(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,[],[f95]) ).
fof(f95,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,[],[f94]) ).
fof(f94,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/sandbox2/benchmark/theBenchmark.p',mDefQuot) ).
fof(f1024,plain,
spl6_93,
inference(avatar_split_clause,[],[f214,f1022]) ).
fof(f1022,plain,
( spl6_93
<=> ! [X2,X0,X1] :
( sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_93])]) ).
fof(f214,plain,
! [X2,X0,X1] :
( sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,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,[],[f92]) ).
fof(f92,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/sandbox2/benchmark/theBenchmark.p',mDivAsso) ).
fof(f1010,plain,
spl6_92,
inference(avatar_split_clause,[],[f233,f1008]) ).
fof(f1008,plain,
( spl6_92
<=> ! [X2,X0,X1] :
( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_92])]) ).
fof(f233,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(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/sandbox2/benchmark/theBenchmark.p',mMonMul) ).
fof(f1006,plain,
( spl6_91
| ~ spl6_11
| ~ spl6_25 ),
inference(avatar_split_clause,[],[f377,f373,f303,f1003]) ).
fof(f377,plain,
( sP1(sz10)
| ~ spl6_11
| ~ spl6_25 ),
inference(resolution,[],[f374,f305]) ).
fof(f1001,plain,
spl6_90,
inference(avatar_split_clause,[],[f231,f999]) ).
fof(f999,plain,
( spl6_90
<=> ! [X2,X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_90])]) ).
fof(f231,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(f989,plain,
spl6_89,
inference(avatar_split_clause,[],[f244,f987]) ).
fof(f244,plain,
! [X2,X0] :
( sdtmndt0(sdtpldt0(X0,X2),X0) = X2
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X0,sdtpldt0(X0,X2))
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f205]) ).
fof(f205,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,[],[f83]) ).
fof(f83,plain,
! [X0,X1] :
( ! [X2] :
( sdtmndt0(X1,X0) = X2
<=> ( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f82]) ).
fof(f82,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/sandbox2/benchmark/theBenchmark.p',mDefDiff) ).
fof(f943,plain,
spl6_88,
inference(avatar_split_clause,[],[f229,f941]) ).
fof(f941,plain,
( spl6_88
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_88])]) ).
fof(f229,plain,
! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,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,[],[f108]) ).
fof(f108,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/sandbox2/benchmark/theBenchmark.p',mAMDistr) ).
fof(f939,plain,
( spl6_87
| ~ spl6_10
| ~ spl6_25 ),
inference(avatar_split_clause,[],[f376,f373,f298,f936]) ).
fof(f376,plain,
( sP1(sz00)
| ~ spl6_10
| ~ spl6_25 ),
inference(resolution,[],[f374,f300]) ).
fof(f934,plain,
spl6_86,
inference(avatar_split_clause,[],[f228,f932]) ).
fof(f932,plain,
( spl6_86
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_86])]) ).
fof(f228,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f930,plain,
spl6_85,
inference(avatar_split_clause,[],[f213,f928]) ).
fof(f928,plain,
( spl6_85
<=> ! [X2,X0,X1] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_85])]) ).
fof(f213,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,[],[f91]) ).
fof(f91,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,[],[f90]) ).
fof(f90,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/sandbox2/benchmark/theBenchmark.p',mMonAdd) ).
fof(f926,plain,
spl6_84,
inference(avatar_split_clause,[],[f211,f924]) ).
fof(f924,plain,
( spl6_84
<=> ! [X2,X0,X1] :
( sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_84])]) ).
fof(f211,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,[],[f91]) ).
fof(f922,plain,
spl6_83,
inference(avatar_split_clause,[],[f182,f920]) ).
fof(f920,plain,
( spl6_83
<=> ! [X2,X0,X1] :
( X1 = X2
| sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sz00 = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_83])]) ).
fof(f182,plain,
! [X2,X0,X1] :
( X1 = X2
| sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,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,[],[f64]) ).
fof(f64,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/sandbox2/benchmark/theBenchmark.p',mMulCanc) ).
fof(f918,plain,
spl6_82,
inference(avatar_split_clause,[],[f181,f916]) ).
fof(f916,plain,
( spl6_82
<=> ! [X2,X0,X1] :
( X1 = X2
| sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sz00 = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_82])]) ).
fof(f181,plain,
! [X2,X0,X1] :
( X1 = X2
| sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f861,plain,
spl6_81,
inference(avatar_split_clause,[],[f248,f859]) ).
fof(f859,plain,
( spl6_81
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtsldt0(X1,X0)) = X1
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_81])]) ).
fof(f248,plain,
! [X0,X1] :
( sdtasdt0(X0,sdtsldt0(X1,X0)) = X1
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f216]) ).
fof(f216,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X2) = X1
| sdtsldt0(X1,X0) != X2
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f857,plain,
spl6_80,
inference(avatar_split_clause,[],[f236,f855]) ).
fof(f855,plain,
( spl6_80
<=> ! [X2,X0,X1] :
( doDivides0(X0,X2)
| ~ doDivides0(X0,sdtpldt0(X1,X2))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_80])]) ).
fof(f236,plain,
! [X2,X0,X1] :
( doDivides0(X0,X2)
| ~ doDivides0(X0,sdtpldt0(X1,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/sandbox2/benchmark/theBenchmark.p',mDivMin) ).
fof(f853,plain,
spl6_79,
inference(avatar_split_clause,[],[f235,f851]) ).
fof(f851,plain,
( spl6_79
<=> ! [X2,X0,X1] :
( doDivides0(X0,sdtpldt0(X1,X2))
| ~ doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_79])]) ).
fof(f235,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/sandbox2/benchmark/theBenchmark.p',mDivSum) ).
fof(f849,plain,
spl6_78,
inference(avatar_split_clause,[],[f227,f847]) ).
fof(f227,plain,
! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0,X1,X2] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f106]) ).
fof(f106,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/sandbox2/benchmark/theBenchmark.p',mMulAsso) ).
fof(f845,plain,
spl6_77,
inference(avatar_split_clause,[],[f226,f843]) ).
fof(f226,plain,
! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1,X2] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f104]) ).
fof(f104,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/sandbox2/benchmark/theBenchmark.p',mAddAsso) ).
fof(f837,plain,
spl6_76,
inference(avatar_split_clause,[],[f239,f835]) ).
fof(f835,plain,
( spl6_76
<=> ! [X2,X0,X1] :
( X1 = X2
| sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_76])]) ).
fof(f239,plain,
! [X2,X0,X1] :
( X1 = X2
| sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
| ~ 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/sandbox2/benchmark/theBenchmark.p',mAddCanc) ).
fof(f833,plain,
spl6_75,
inference(avatar_split_clause,[],[f238,f831]) ).
fof(f831,plain,
( spl6_75
<=> ! [X2,X0,X1] :
( X1 = X2
| sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_75])]) ).
fof(f238,plain,
! [X2,X0,X1] :
( X1 = X2
| sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f804,plain,
spl6_74,
inference(avatar_split_clause,[],[f237,f802]) ).
fof(f237,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,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/sandbox2/benchmark/theBenchmark.p',mLETran) ).
fof(f800,plain,
spl6_73,
inference(avatar_split_clause,[],[f234,f798]) ).
fof(f234,plain,
! [X2,X0,X1] :
( doDivides0(X0,X2)
| ~ doDivides0(X1,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/sandbox2/benchmark/theBenchmark.p',mDivTrans) ).
fof(f796,plain,
spl6_72,
inference(avatar_split_clause,[],[f208,f794]) ).
fof(f794,plain,
( spl6_72
<=> ! [X0,X1] :
( sz00 = X1
| sz00 = X0
| sz00 != sdtasdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_72])]) ).
fof(f208,plain,
! [X0,X1] :
( sz00 = X1
| sz00 = X0
| sz00 != sdtasdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0,X1] :
( sz00 = X1
| sz00 = X0
| sz00 != sdtasdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f86]) ).
fof(f86,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/sandbox2/benchmark/theBenchmark.p',mZeroMul) ).
fof(f744,plain,
spl6_71,
inference(avatar_split_clause,[],[f249,f742]) ).
fof(f249,plain,
! [X0,X1] :
( aNaturalNumber0(sdtsldt0(X1,X0))
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f215]) ).
fof(f215,plain,
! [X2,X0,X1] :
( aNaturalNumber0(X2)
| sdtsldt0(X1,X0) != X2
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f738,plain,
spl6_70,
inference(avatar_split_clause,[],[f245,f736]) ).
fof(f245,plain,
! [X0,X1] :
( sdtpldt0(X0,sdtmndt0(X1,X0)) = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f204]) ).
fof(f204,plain,
! [X2,X0,X1] :
( sdtpldt0(X0,X2) = X1
| sdtmndt0(X1,X0) != X2
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f734,plain,
spl6_69,
inference(avatar_split_clause,[],[f224,f732]) ).
fof(f224,plain,
! [X0,X1] :
( sdtpldt0(X0,sK5(X0,X1)) = X1
| ~ sdtlseqdt0(X0,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,[],[f103]) ).
fof(f103,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f102]) ).
fof(f102,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/sandbox2/benchmark/theBenchmark.p',mDefLE) ).
fof(f730,plain,
spl6_68,
inference(avatar_split_clause,[],[f221,f728]) ).
fof(f728,plain,
( spl6_68
<=> ! [X0,X1] :
( sdtasdt0(X0,sK4(X0,X1)) = X1
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_68])]) ).
fof(f221,plain,
! [X0,X1] :
( sdtasdt0(X0,sK4(X0,X1)) = X1
| ~ doDivides0(X0,X1)
| ~ 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,[],[f101]) ).
fof(f101,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f100]) ).
fof(f100,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/sandbox2/benchmark/theBenchmark.p',mDefDiv) ).
fof(f680,plain,
spl6_67,
inference(avatar_split_clause,[],[f251,f678]) ).
fof(f251,plain,
! [X2,X0] :
( sdtlseqdt0(X0,sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f225]) ).
fof(f225,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f144]) ).
fof(f674,plain,
spl6_66,
inference(avatar_split_clause,[],[f250,f672]) ).
fof(f250,plain,
! [X2,X0] :
( doDivides0(X0,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f222]) ).
fof(f222,plain,
! [X2,X0,X1] :
( doDivides0(X0,X1)
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f140]) ).
fof(f670,plain,
spl6_65,
inference(avatar_split_clause,[],[f219,f668]) ).
fof(f219,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f98]) ).
fof(f98,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/sandbox2/benchmark/theBenchmark.p',mLEAsym) ).
fof(f666,plain,
spl6_64,
inference(avatar_split_clause,[],[f218,f664]) ).
fof(f218,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sz00 = X1
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sz00 = X1
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f96]) ).
fof(f96,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/sandbox2/benchmark/theBenchmark.p',mDivLE) ).
fof(f662,plain,
spl6_63,
inference(avatar_split_clause,[],[f209,f660]) ).
fof(f209,plain,
! [X0,X1] :
( iLess0(X0,X1)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0,X1] :
( iLess0(X0,X1)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f88]) ).
fof(f88,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/sandbox2/benchmark/theBenchmark.p',mIH_03) ).
fof(f658,plain,
spl6_62,
inference(avatar_split_clause,[],[f187,f656]) ).
fof(f187,plain,
! [X2,X0] :
( X0 = X2
| sz10 = X2
| ~ doDivides0(X2,X0)
| ~ 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(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(f654,plain,
( spl6_61
| ~ spl6_5
| ~ spl6_25 ),
inference(avatar_split_clause,[],[f381,f373,f273,f651]) ).
fof(f381,plain,
( sP1(xr)
| ~ spl6_5
| ~ spl6_25 ),
inference(resolution,[],[f374,f275]) ).
fof(f649,plain,
spl6_60,
inference(avatar_split_clause,[],[f207,f647]) ).
fof(f647,plain,
( spl6_60
<=> ! [X0,X1] :
( sz00 = X1
| sz00 != sdtpldt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_60])]) ).
fof(f207,plain,
! [X0,X1] :
( sz00 = X1
| sz00 != sdtpldt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0,X1] :
( ( sz00 = X1
& sz00 = X0 )
| sz00 != sdtpldt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f84]) ).
fof(f84,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/sandbox2/benchmark/theBenchmark.p',mZeroAdd) ).
fof(f645,plain,
spl6_59,
inference(avatar_split_clause,[],[f206,f643]) ).
fof(f643,plain,
( spl6_59
<=> ! [X0,X1] :
( sz00 = X0
| sz00 != sdtpldt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_59])]) ).
fof(f206,plain,
! [X0,X1] :
( sz00 = X0
| sz00 != sdtpldt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f641,plain,
spl6_58,
inference(avatar_split_clause,[],[f202,f639]) ).
fof(f639,plain,
( spl6_58
<=> ! [X0,X1] :
( sdtlseqdt0(X1,sdtasdt0(X1,X0))
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_58])]) ).
fof(f202,plain,
! [X0,X1] :
( sdtlseqdt0(X1,sdtasdt0(X1,X0))
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0,X1] :
( sdtlseqdt0(X1,sdtasdt0(X1,X0))
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f80]) ).
fof(f80,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/sandbox2/benchmark/theBenchmark.p',mMonMul2) ).
fof(f637,plain,
spl6_57,
inference(avatar_split_clause,[],[f194,f635]) ).
fof(f194,plain,
! [X0] :
( doDivides0(sK3(X0),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])],[f69,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(f69,plain,
! [X0] :
( ? [X1] :
( isPrime0(X1)
& doDivides0(X1,X0)
& aNaturalNumber0(X1) )
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f68]) ).
fof(f68,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/sandbox2/benchmark/theBenchmark.p',mPrimDiv) ).
fof(f633,plain,
spl6_56,
inference(avatar_split_clause,[],[f191,f631]) ).
fof(f631,plain,
( spl6_56
<=> ! [X0] :
( sP0(X0)
| sK2(X0) != X0
| sz10 = X0
| sz00 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_56])]) ).
fof(f191,plain,
! [X0] :
( sP0(X0)
| sK2(X0) != X0
| sz10 = X0
| sz00 = X0 ),
inference(cnf_transformation,[],[f130]) ).
fof(f629,plain,
spl6_55,
inference(avatar_split_clause,[],[f190,f627]) ).
fof(f627,plain,
( spl6_55
<=> ! [X0] :
( sP0(X0)
| sz10 != sK2(X0)
| sz10 = X0
| sz00 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_55])]) ).
fof(f190,plain,
! [X0] :
( sP0(X0)
| sz10 != sK2(X0)
| sz10 = X0
| sz00 = X0 ),
inference(cnf_transformation,[],[f130]) ).
fof(f625,plain,
spl6_54,
inference(avatar_split_clause,[],[f189,f623]) ).
fof(f623,plain,
( spl6_54
<=> ! [X0] :
( sP0(X0)
| doDivides0(sK2(X0),X0)
| sz10 = X0
| sz00 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_54])]) ).
fof(f189,plain,
! [X0] :
( sP0(X0)
| doDivides0(sK2(X0),X0)
| sz10 = X0
| sz00 = X0 ),
inference(cnf_transformation,[],[f130]) ).
fof(f560,plain,
spl6_53,
inference(avatar_split_clause,[],[f246,f558]) ).
fof(f246,plain,
! [X0,X1] :
( aNaturalNumber0(sdtmndt0(X1,X0))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f203]) ).
fof(f203,plain,
! [X2,X0,X1] :
( aNaturalNumber0(X2)
| sdtmndt0(X1,X0) != X2
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f556,plain,
spl6_52,
inference(avatar_split_clause,[],[f223,f554]) ).
fof(f223,plain,
! [X0,X1] :
( aNaturalNumber0(sK5(X0,X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f144]) ).
fof(f552,plain,
( ~ spl6_51
| ~ spl6_9
| spl6_3
| spl6_1
| ~ spl6_43 ),
inference(avatar_split_clause,[],[f510,f507,f254,f263,f293,f549]) ).
fof(f510,plain,
( sdtlseqdt0(xk,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xk)
| spl6_1
| ~ spl6_43 ),
inference(resolution,[],[f508,f256]) ).
fof(f547,plain,
spl6_50,
inference(avatar_split_clause,[],[f220,f545]) ).
fof(f220,plain,
! [X0,X1] :
( aNaturalNumber0(sK4(X0,X1))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f140]) ).
fof(f543,plain,
spl6_49,
inference(avatar_split_clause,[],[f199,f541]) ).
fof(f199,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f76]) ).
fof(f76,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/sandbox2/benchmark/theBenchmark.p',mMulComm) ).
fof(f539,plain,
spl6_48,
inference(avatar_split_clause,[],[f198,f537]) ).
fof(f198,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f74]) ).
fof(f74,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/sandbox2/benchmark/theBenchmark.p',mAddComm) ).
fof(f535,plain,
spl6_47,
inference(avatar_split_clause,[],[f195,f533]) ).
fof(f533,plain,
( spl6_47
<=> ! [X0] :
( isPrime0(sK3(X0))
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_47])]) ).
fof(f195,plain,
! [X0] :
( isPrime0(sK3(X0))
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f531,plain,
spl6_46,
inference(avatar_split_clause,[],[f193,f529]) ).
fof(f193,plain,
! [X0] :
( aNaturalNumber0(sK3(X0))
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f527,plain,
spl6_45,
inference(avatar_split_clause,[],[f188,f525]) ).
fof(f188,plain,
! [X0] :
( sP0(X0)
| aNaturalNumber0(sK2(X0))
| sz10 = X0
| sz00 = X0 ),
inference(cnf_transformation,[],[f130]) ).
fof(f523,plain,
spl6_44,
inference(avatar_split_clause,[],[f180,f521]) ).
fof(f180,plain,
! [X0] :
( sdtlseqdt0(sz10,X0)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0] :
( ( sdtlseqdt0(sz10,X0)
& sz10 != X0 )
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f62]) ).
fof(f62,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/sandbox2/benchmark/theBenchmark.p',mLENTr) ).
fof(f509,plain,
spl6_43,
inference(avatar_split_clause,[],[f201,f507]) ).
fof(f201,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0,X1] :
( ( sdtlseqdt0(X1,X0)
& X0 != X1 )
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f78]) ).
fof(f78,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/sandbox2/benchmark/theBenchmark.p',mLETotal) ).
fof(f498,plain,
( spl6_42
| ~ spl6_9
| ~ spl6_25 ),
inference(avatar_split_clause,[],[f380,f373,f293,f495]) ).
fof(f380,plain,
( sP1(xp)
| ~ spl6_9
| ~ spl6_25 ),
inference(resolution,[],[f374,f295]) ).
fof(f486,plain,
spl6_41,
inference(avatar_split_clause,[],[f197,f484]) ).
fof(f197,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f72]) ).
fof(f72,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/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f482,plain,
spl6_40,
inference(avatar_split_clause,[],[f196,f480]) ).
fof(f196,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f70]) ).
fof(f70,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/sandbox2/benchmark/theBenchmark.p',mSortsB) ).
fof(f442,plain,
spl6_39,
inference(avatar_split_clause,[],[f178,f440]) ).
fof(f178,plain,
! [X0] :
( sdtasdt0(sz10,X0) = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,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/sandbox2/benchmark/theBenchmark.p',m_MulUnit) ).
fof(f438,plain,
( spl6_38
| ~ spl6_8
| ~ spl6_25 ),
inference(avatar_split_clause,[],[f379,f373,f288,f435]) ).
fof(f379,plain,
( sP1(xm)
| ~ spl6_8
| ~ spl6_25 ),
inference(resolution,[],[f374,f290]) ).
fof(f433,plain,
spl6_37,
inference(avatar_split_clause,[],[f177,f431]) ).
fof(f177,plain,
! [X0] :
( sdtasdt0(X0,sz10) = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f429,plain,
spl6_36,
inference(avatar_split_clause,[],[f176,f427]) ).
fof(f176,plain,
! [X0] :
( sdtpldt0(sz00,X0) = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,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/sandbox2/benchmark/theBenchmark.p',m_AddZero) ).
fof(f425,plain,
spl6_35,
inference(avatar_split_clause,[],[f175,f423]) ).
fof(f175,plain,
! [X0] :
( sdtpldt0(X0,sz00) = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f421,plain,
spl6_34,
inference(avatar_split_clause,[],[f174,f419]) ).
fof(f174,plain,
! [X0] :
( sz00 = sdtasdt0(sz00,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,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/sandbox2/benchmark/theBenchmark.p',m_MulZero) ).
fof(f417,plain,
spl6_33,
inference(avatar_split_clause,[],[f173,f415]) ).
fof(f173,plain,
! [X0] :
( sz00 = sdtasdt0(X0,sz00)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f413,plain,
spl6_32,
inference(avatar_split_clause,[],[f149,f410]) ).
fof(f149,plain,
xk = sdtsldt0(sdtasdt0(xn,xm),xp),
inference(cnf_transformation,[],[f45]) ).
fof(f45,axiom,
xk = sdtsldt0(sdtasdt0(xn,xm),xp),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2306) ).
fof(f408,plain,
spl6_31,
inference(avatar_split_clause,[],[f184,f406]) ).
fof(f184,plain,
! [X0] :
( isPrime0(X0)
| ~ sP0(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0] :
( ( ( isPrime0(X0)
| ~ sP0(X0) )
& ( sP0(X0)
| ~ isPrime0(X0) ) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0] :
( ( isPrime0(X0)
<=> sP0(X0) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f404,plain,
( spl6_30
| ~ spl6_7
| ~ spl6_25 ),
inference(avatar_split_clause,[],[f378,f373,f283,f401]) ).
fof(f378,plain,
( sP1(xn)
| ~ spl6_7
| ~ spl6_25 ),
inference(resolution,[],[f374,f285]) ).
fof(f399,plain,
spl6_29,
inference(avatar_split_clause,[],[f183,f397]) ).
fof(f183,plain,
! [X0] :
( sP0(X0)
| ~ isPrime0(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f395,plain,
spl6_28,
inference(avatar_split_clause,[],[f172,f393]) ).
fof(f172,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLERefl) ).
fof(f391,plain,
spl6_27,
inference(avatar_split_clause,[],[f165,f388]) ).
fof(f165,plain,
doDivides0(xr,sdtasdt0(xn,xm)),
inference(cnf_transformation,[],[f49]) ).
fof(f49,axiom,
( doDivides0(xr,sdtasdt0(xn,xm))
& sdtlseqdt0(xr,xk) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2362) ).
fof(f386,plain,
spl6_26,
inference(avatar_split_clause,[],[f151,f383]) ).
fof(f151,plain,
doDivides0(xp,sdtasdt0(xn,xm)),
inference(cnf_transformation,[],[f41]) ).
fof(f41,axiom,
( doDivides0(xp,sdtasdt0(xn,xm))
& isPrime0(xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1860) ).
fof(f375,plain,
spl6_25,
inference(avatar_split_clause,[],[f192,f373]) ).
fof(f192,plain,
! [X0] :
( sP1(X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0] :
( sP1(X0)
| ~ aNaturalNumber0(X0) ),
inference(definition_folding,[],[f67,f123,f122]) ).
fof(f67,plain,
! [X0] :
( ( isPrime0(X0)
<=> ( ! [X1] :
( X0 = X1
| sz10 = X1
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1) )
& sz10 != X0
& sz00 != X0 ) )
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f66]) ).
fof(f66,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/sandbox2/benchmark/theBenchmark.p',mDefPrime) ).
fof(f371,plain,
~ spl6_24,
inference(avatar_split_clause,[],[f171,f368]) ).
fof(f368,plain,
( spl6_24
<=> sz00 = sz10 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_24])]) ).
fof(f171,plain,
sz00 != sz10,
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( sz00 != sz10
& aNaturalNumber0(sz10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC_01) ).
fof(f366,plain,
spl6_23,
inference(avatar_split_clause,[],[f164,f363]) ).
fof(f363,plain,
( spl6_23
<=> sdtlseqdt0(xr,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_23])]) ).
fof(f164,plain,
sdtlseqdt0(xr,xk),
inference(cnf_transformation,[],[f49]) ).
fof(f361,plain,
~ spl6_22,
inference(avatar_split_clause,[],[f163,f358]) ).
fof(f358,plain,
( spl6_22
<=> sz10 = xk ),
introduced(avatar_definition,[new_symbols(naming,[spl6_22])]) ).
fof(f163,plain,
sz10 != xk,
inference(cnf_transformation,[],[f47]) ).
fof(f47,axiom,
( sz10 != xk
& sz00 != xk ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2327) ).
fof(f356,plain,
~ spl6_21,
inference(avatar_split_clause,[],[f162,f353]) ).
fof(f353,plain,
( spl6_21
<=> sz00 = xk ),
introduced(avatar_definition,[new_symbols(naming,[spl6_21])]) ).
fof(f162,plain,
sz00 != xk,
inference(cnf_transformation,[],[f47]) ).
fof(f351,plain,
spl6_20,
inference(avatar_split_clause,[],[f161,f348]) ).
fof(f161,plain,
sdtlseqdt0(xm,xp),
inference(cnf_transformation,[],[f44]) ).
fof(f44,axiom,
( sdtlseqdt0(xm,xp)
& xm != xp
& sdtlseqdt0(xn,xp)
& xn != xp ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2287) ).
fof(f346,plain,
~ spl6_19,
inference(avatar_split_clause,[],[f160,f343]) ).
fof(f160,plain,
xm != xp,
inference(cnf_transformation,[],[f44]) ).
fof(f341,plain,
spl6_18,
inference(avatar_split_clause,[],[f159,f338]) ).
fof(f159,plain,
sdtlseqdt0(xn,xp),
inference(cnf_transformation,[],[f44]) ).
fof(f336,plain,
~ spl6_17,
inference(avatar_split_clause,[],[f158,f333]) ).
fof(f158,plain,
xn != xp,
inference(cnf_transformation,[],[f44]) ).
fof(f331,plain,
spl6_16,
inference(avatar_split_clause,[],[f153,f328]) ).
fof(f153,plain,
doDivides0(xr,xk),
inference(cnf_transformation,[],[f48]) ).
fof(f48,axiom,
( isPrime0(xr)
& doDivides0(xr,xk)
& aNaturalNumber0(xr) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2342) ).
fof(f326,plain,
~ spl6_15,
inference(avatar_split_clause,[],[f148,f323]) ).
fof(f148,plain,
~ sdtlseqdt0(xp,xn),
inference(cnf_transformation,[],[f42]) ).
fof(f42,axiom,
~ sdtlseqdt0(xp,xn),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1870) ).
fof(f321,plain,
~ spl6_14,
inference(avatar_split_clause,[],[f147,f318]) ).
fof(f147,plain,
~ sdtlseqdt0(xp,xm),
inference(cnf_transformation,[],[f43]) ).
fof(f43,axiom,
~ sdtlseqdt0(xp,xm),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2075) ).
fof(f316,plain,
~ spl6_13,
inference(avatar_split_clause,[],[f242,f313]) ).
fof(f242,plain,
~ sP0(sz00),
inference(equality_resolution,[],[f185]) ).
fof(f185,plain,
! [X0] :
( sz00 != X0
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f311,plain,
~ spl6_12,
inference(avatar_split_clause,[],[f241,f308]) ).
fof(f241,plain,
~ sP0(sz10),
inference(equality_resolution,[],[f186]) ).
fof(f186,plain,
! [X0] :
( sz10 != X0
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f306,plain,
spl6_11,
inference(avatar_split_clause,[],[f170,f303]) ).
fof(f170,plain,
aNaturalNumber0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f301,plain,
spl6_10,
inference(avatar_split_clause,[],[f169,f298]) ).
fof(f169,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).
fof(f296,plain,
spl6_9,
inference(avatar_split_clause,[],[f157,f293]) ).
fof(f157,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
( aNaturalNumber0(xp)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1837) ).
fof(f291,plain,
spl6_8,
inference(avatar_split_clause,[],[f156,f288]) ).
fof(f156,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f39]) ).
fof(f286,plain,
spl6_7,
inference(avatar_split_clause,[],[f155,f283]) ).
fof(f155,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f39]) ).
fof(f281,plain,
spl6_6,
inference(avatar_split_clause,[],[f154,f278]) ).
fof(f154,plain,
isPrime0(xr),
inference(cnf_transformation,[],[f48]) ).
fof(f276,plain,
spl6_5,
inference(avatar_split_clause,[],[f152,f273]) ).
fof(f152,plain,
aNaturalNumber0(xr),
inference(cnf_transformation,[],[f48]) ).
fof(f271,plain,
spl6_4,
inference(avatar_split_clause,[],[f150,f268]) ).
fof(f150,plain,
isPrime0(xp),
inference(cnf_transformation,[],[f41]) ).
fof(f266,plain,
( spl6_2
| ~ spl6_3 ),
inference(avatar_split_clause,[],[f146,f263,f259]) ).
fof(f146,plain,
( ~ sdtlseqdt0(xk,xp)
| xp = xk ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
( ( ~ sdtlseqdt0(xk,xp)
| xp = xk )
& ~ sdtlseqdt0(xp,xk) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,negated_conjecture,
~ ( ~ sdtlseqdt0(xp,xk)
=> ( sdtlseqdt0(xk,xp)
& xp != xk ) ),
inference(negated_conjecture,[],[f50]) ).
fof(f50,conjecture,
( ~ sdtlseqdt0(xp,xk)
=> ( sdtlseqdt0(xk,xp)
& xp != xk ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f257,plain,
~ spl6_1,
inference(avatar_split_clause,[],[f145,f254]) ).
fof(f145,plain,
~ sdtlseqdt0(xp,xk),
inference(cnf_transformation,[],[f54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM505+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n009.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon Apr 29 23:13:56 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % (9182)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (9186)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.37 % (9185)WARNING: value z3 for option sas not known
% 0.15/0.37 % (9183)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.37 % (9184)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.37 % (9185)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.37 % (9188)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.37 % (9187)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.37 % (9189)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.38 Detected minimum model sizes of [3]
% 0.15/0.38 Detected maximum model sizes of [max]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 Detected minimum model sizes of [3]
% 0.15/0.38 Detected maximum model sizes of [max]
% 0.15/0.38 TRYING [3]
% 0.15/0.39 TRYING [4]
% 0.15/0.39 TRYING [4]
% 0.21/0.47 TRYING [5]
% 0.21/0.47 Detected minimum model sizes of [3]
% 0.21/0.47 Detected maximum model sizes of [max]
% 0.21/0.47 TRYING [3]
% 0.21/0.48 TRYING [5]
% 0.21/0.48 TRYING [4]
% 0.21/0.49 % (9187)First to succeed.
% 0.21/0.50 % (9185)Also succeeded, but the first one will report.
% 0.21/0.50 % (9187)Refutation found. Thanks to Tanya!
% 0.21/0.50 % SZS status Theorem for theBenchmark
% 0.21/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.50 % (9187)------------------------------
% 0.21/0.50 % (9187)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.50 % (9187)Termination reason: Refutation
% 0.21/0.50
% 0.21/0.50 % (9187)Memory used [KB]: 3190
% 0.21/0.50 % (9187)Time elapsed: 0.125 s
% 0.21/0.50 % (9187)Instructions burned: 263 (million)
% 0.21/0.50 % (9187)------------------------------
% 0.21/0.50 % (9187)------------------------------
% 0.21/0.50 % (9182)Success in time 0.135 s
%------------------------------------------------------------------------------