TSTP Solution File: SWV102+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV102+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n004.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 16:39:30 EDT 2024
% Result : Theorem 0.18s 0.50s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 446
% Syntax : Number of formulae : 1520 ( 310 unt; 0 def)
% Number of atoms : 5118 ( 983 equ)
% Maximal formula atoms : 27 ( 3 avg)
% Number of connectives : 5931 (2333 ~;2487 |; 666 &)
% ( 340 <=>; 105 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 9 ( 1 avg)
% Number of predicates : 354 ( 352 usr; 338 prp; 0-4 aty)
% Number of functors : 59 ( 59 usr; 14 con; 0-4 aty)
% Number of variables : 2136 (1983 !; 153 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4234,plain,
$false,
inference(avatar_sat_refutation,[],[f461,f466,f471,f476,f481,f486,f491,f496,f501,f506,f511,f516,f521,f526,f531,f536,f541,f546,f551,f556,f561,f566,f571,f576,f581,f586,f591,f596,f601,f606,f611,f616,f621,f626,f630,f634,f639,f644,f648,f653,f658,f663,f668,f678,f684,f700,f704,f709,f713,f745,f749,f753,f774,f780,f785,f790,f795,f799,f804,f808,f813,f818,f822,f827,f831,f836,f840,f845,f849,f853,f858,f862,f868,f872,f876,f881,f885,f890,f894,f899,f903,f908,f912,f918,f922,f926,f931,f935,f940,f944,f949,f953,f958,f962,f967,f971,f976,f980,f985,f989,f994,f998,f1003,f1007,f1012,f1016,f1021,f1025,f1029,f1033,f1037,f1041,f1045,f1049,f1053,f1057,f1061,f1065,f1069,f1073,f1078,f1082,f1086,f1090,f1094,f1098,f1103,f1107,f1111,f1115,f1119,f1123,f1128,f1132,f1136,f1140,f1144,f1148,f1153,f1157,f1161,f1165,f1169,f1173,f1178,f1262,f1267,f1272,f1276,f1283,f1287,f1291,f1295,f1299,f1304,f1308,f1312,f1316,f1320,f1520,f1593,f1597,f1601,f1667,f1673,f1677,f1708,f1713,f1745,f1749,f1821,f1828,f1832,f1837,f1842,f1846,f1850,f1854,f1858,f1897,f1909,f1915,f1921,f1925,f2017,f2022,f2028,f2034,f2068,f2072,f2076,f2080,f2084,f2089,f2093,f2097,f2101,f2105,f2109,f2115,f2120,f2124,f2128,f2132,f2137,f2141,f2145,f2150,f2214,f2220,f2254,f2260,f2264,f2269,f2275,f2309,f2371,f2377,f2383,f2388,f2392,f2465,f2473,f2478,f2483,f2487,f2494,f2498,f2504,f2538,f2544,f2550,f2554,f2618,f2625,f2629,f2635,f2639,f2703,f2710,f2744,f2750,f2755,f2790,f2795,f2800,f2805,f2810,f3000,f3004,f3016,f3022,f3026,f3031,f3040,f3045,f3050,f3055,f3060,f3065,f3069,f3073,f3078,f3082,f3087,f3092,f3097,f3102,f3107,f3112,f3117,f3122,f3211,f3287,f3293,f3297,f3316,f3320,f3349,f3603,f3609,f3615,f3621,f3628,f3632,f3637,f3642,f3648,f3689,f3695,f3701,f3707,f3712,f3718,f3722,f3728,f3734,f3740,f3746,f3751,f3756,f3762,f3795,f3802,f3806,f3812,f3818,f3823,f3828,f3833,f3838,f3843,f3848,f3853,f3859,f3864,f3869,f3874,f3879,f3884,f3889,f3894,f3899,f3904,f3909,f3915,f3919,f3924,f3929,f3934,f3939,f3944,f3949,f3953,f3958,f3962,f4092,f4094,f4189,f4222,f4227,f4233]) ).
fof(f4233,plain,
( ~ spl40_69
| spl40_337 ),
inference(avatar_contradiction_clause,[],[f4232]) ).
fof(f4232,plain,
( $false
| ~ spl40_69
| spl40_337 ),
inference(trivial_inequality_removal,[],[f4230]) ).
fof(f4230,plain,
( use != use
| ~ spl40_69
| spl40_337 ),
inference(superposition,[],[f4226,f848]) ).
fof(f848,plain,
( ! [X2,X0,X1] : a_select2(tptp_update2(X0,X1,X2),X1) = X2
| ~ spl40_69 ),
inference(avatar_component_clause,[],[f847]) ).
fof(f847,plain,
( spl40_69
<=> ! [X2,X0,X1] : a_select2(tptp_update2(X0,X1,X2),X1) = X2 ),
introduced(avatar_definition,[new_symbols(naming,[spl40_69])]) ).
fof(f4226,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,tptp_float_0_0,use),n2,use),n2,use),n2)
| spl40_337 ),
inference(avatar_component_clause,[],[f4224]) ).
fof(f4224,plain,
( spl40_337
<=> use = a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,tptp_float_0_0,use),n2,use),n2,use),n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_337])]) ).
fof(f4227,plain,
( ~ spl40_337
| spl40_226
| ~ spl40_250 ),
inference(avatar_split_clause,[],[f4211,f2993,f2475,f4224]) ).
fof(f2475,plain,
( spl40_226
<=> use = a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,tptp_float_0_0,use),n1,use),n2,use),n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_226])]) ).
fof(f2993,plain,
( spl40_250
<=> n1 = n2 ),
introduced(avatar_definition,[new_symbols(naming,[spl40_250])]) ).
fof(f4211,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,tptp_float_0_0,use),n2,use),n2,use),n2)
| spl40_226
| ~ spl40_250 ),
inference(forward_demodulation,[],[f2477,f2995]) ).
fof(f2995,plain,
( n1 = n2
| ~ spl40_250 ),
inference(avatar_component_clause,[],[f2993]) ).
fof(f2477,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,tptp_float_0_0,use),n1,use),n2,use),n1)
| spl40_226 ),
inference(avatar_component_clause,[],[f2475]) ).
fof(f4222,plain,
( spl40_336
| ~ spl40_227
| ~ spl40_250 ),
inference(avatar_split_clause,[],[f4210,f2993,f2480,f4219]) ).
fof(f4219,plain,
( spl40_336
<=> use = a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,tptp_float_0_0,use),n2,use),n2,use),tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_336])]) ).
fof(f2480,plain,
( spl40_227
<=> use = a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,tptp_float_0_0,use),n1,use),n2,use),tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_227])]) ).
fof(f4210,plain,
( use = a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,tptp_float_0_0,use),n2,use),n2,use),tptp_float_0_0)
| ~ spl40_227
| ~ spl40_250 ),
inference(forward_demodulation,[],[f2481,f2995]) ).
fof(f2481,plain,
( use = a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,tptp_float_0_0,use),n1,use),n2,use),tptp_float_0_0)
| ~ spl40_227 ),
inference(avatar_component_clause,[],[f2480]) ).
fof(f4189,plain,
( ~ spl40_69
| spl40_335 ),
inference(avatar_contradiction_clause,[],[f4188]) ).
fof(f4188,plain,
( $false
| ~ spl40_69
| spl40_335 ),
inference(trivial_inequality_removal,[],[f4186]) ).
fof(f4186,plain,
( use != use
| ~ spl40_69
| spl40_335 ),
inference(superposition,[],[f4091,f848]) ).
fof(f4091,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,tptp_float_0_0,use),n1,use),tptp_float_0_0,use),tptp_float_0_0)
| spl40_335 ),
inference(avatar_component_clause,[],[f4089]) ).
fof(f4089,plain,
( spl40_335
<=> use = a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,tptp_float_0_0,use),n1,use),tptp_float_0_0,use),tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_335])]) ).
fof(f4094,plain,
( ~ spl40_278
| ~ spl40_252
| ~ spl40_268
| ~ spl40_273
| ~ spl40_293
| spl40_335 ),
inference(avatar_split_clause,[],[f4093,f4089,f3715,f3109,f3084,f3009,f3313]) ).
fof(f3313,plain,
( spl40_278
<=> use = a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,tptp_float_0_0,use),tptp_float_0_0,use),tptp_float_0_0,use),tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_278])]) ).
fof(f3009,plain,
( spl40_252
<=> tptp_float_0_0 = n2 ),
introduced(avatar_definition,[new_symbols(naming,[spl40_252])]) ).
fof(f3084,plain,
( spl40_268
<=> n2 = plus(n2,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_268])]) ).
fof(f3109,plain,
( spl40_273
<=> n1 = plus(tptp_minus_1,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_273])]) ).
fof(f3715,plain,
( spl40_293
<=> tptp_minus_1 = tptp_float_0_0 ),
introduced(avatar_definition,[new_symbols(naming,[spl40_293])]) ).
fof(f4093,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,tptp_float_0_0,use),tptp_float_0_0,use),tptp_float_0_0,use),tptp_float_0_0)
| ~ spl40_252
| ~ spl40_268
| ~ spl40_273
| ~ spl40_293
| spl40_335 ),
inference(forward_demodulation,[],[f4091,f3988]) ).
fof(f3988,plain,
( tptp_float_0_0 = n1
| ~ spl40_252
| ~ spl40_268
| ~ spl40_273
| ~ spl40_293 ),
inference(forward_demodulation,[],[f3987,f3426]) ).
fof(f3426,plain,
( tptp_float_0_0 = plus(tptp_float_0_0,tptp_float_0_0)
| ~ spl40_252
| ~ spl40_268 ),
inference(superposition,[],[f3086,f3011]) ).
fof(f3011,plain,
( tptp_float_0_0 = n2
| ~ spl40_252 ),
inference(avatar_component_clause,[],[f3009]) ).
fof(f3086,plain,
( n2 = plus(n2,tptp_float_0_0)
| ~ spl40_268 ),
inference(avatar_component_clause,[],[f3084]) ).
fof(f3987,plain,
( n1 = plus(tptp_float_0_0,tptp_float_0_0)
| ~ spl40_252
| ~ spl40_273
| ~ spl40_293 ),
inference(forward_demodulation,[],[f3586,f3717]) ).
fof(f3717,plain,
( tptp_minus_1 = tptp_float_0_0
| ~ spl40_293 ),
inference(avatar_component_clause,[],[f3715]) ).
fof(f3586,plain,
( n1 = plus(tptp_minus_1,tptp_float_0_0)
| ~ spl40_252
| ~ spl40_273 ),
inference(superposition,[],[f3111,f3011]) ).
fof(f3111,plain,
( n1 = plus(tptp_minus_1,n2)
| ~ spl40_273 ),
inference(avatar_component_clause,[],[f3109]) ).
fof(f4092,plain,
( ~ spl40_335
| ~ spl40_45
| spl40_222
| ~ spl40_252 ),
inference(avatar_split_clause,[],[f3963,f3009,f2454,f681,f4089]) ).
fof(f681,plain,
( spl40_45
<=> n0 = tptp_float_0_0 ),
introduced(avatar_definition,[new_symbols(naming,[spl40_45])]) ).
fof(f2454,plain,
( spl40_222
<=> use = a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_222])]) ).
fof(f3963,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,tptp_float_0_0,use),n1,use),tptp_float_0_0,use),tptp_float_0_0)
| ~ spl40_45
| spl40_222
| ~ spl40_252 ),
inference(forward_demodulation,[],[f3346,f3011]) ).
fof(f3346,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,tptp_float_0_0,use),n1,use),n2,use),tptp_float_0_0)
| ~ spl40_45
| spl40_222 ),
inference(forward_demodulation,[],[f2456,f683]) ).
fof(f683,plain,
( n0 = tptp_float_0_0
| ~ spl40_45 ),
inference(avatar_component_clause,[],[f681]) ).
fof(f2456,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n0)
| spl40_222 ),
inference(avatar_component_clause,[],[f2454]) ).
fof(f3962,plain,
( ~ spl40_35
| ~ spl40_283 ),
inference(avatar_contradiction_clause,[],[f3959]) ).
fof(f3959,plain,
( $false
| ~ spl40_35
| ~ spl40_283 ),
inference(resolution,[],[f3627,f629]) ).
fof(f629,plain,
( ! [X0] : ~ gt(X0,X0)
| ~ spl40_35 ),
inference(avatar_component_clause,[],[f628]) ).
fof(f628,plain,
( spl40_35
<=> ! [X0] : ~ gt(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_35])]) ).
fof(f3627,plain,
( gt(tptp_float_0_0,tptp_float_0_0)
| ~ spl40_283 ),
inference(avatar_component_clause,[],[f3625]) ).
fof(f3625,plain,
( spl40_283
<=> gt(tptp_float_0_0,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_283])]) ).
fof(f3958,plain,
( spl40_334
| ~ spl40_257
| ~ spl40_333 ),
inference(avatar_split_clause,[],[f3954,f3951,f3033,f3956]) ).
fof(f3956,plain,
( spl40_334
<=> ! [X0] : minus(plus(tptp_float_0_0,X0),tptp_float_0_0) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl40_334])]) ).
fof(f3033,plain,
( spl40_257
<=> tptp_float_0_0 = n1 ),
introduced(avatar_definition,[new_symbols(naming,[spl40_257])]) ).
fof(f3951,plain,
( spl40_333
<=> ! [X0] : minus(plus(n1,X0),n1) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl40_333])]) ).
fof(f3954,plain,
( ! [X0] : minus(plus(tptp_float_0_0,X0),tptp_float_0_0) = X0
| ~ spl40_257
| ~ spl40_333 ),
inference(forward_demodulation,[],[f3952,f3035]) ).
fof(f3035,plain,
( tptp_float_0_0 = n1
| ~ spl40_257 ),
inference(avatar_component_clause,[],[f3033]) ).
fof(f3952,plain,
( ! [X0] : minus(plus(n1,X0),n1) = X0
| ~ spl40_333 ),
inference(avatar_component_clause,[],[f3951]) ).
fof(f3953,plain,
( spl40_333
| ~ spl40_50
| ~ spl40_52 ),
inference(avatar_split_clause,[],[f765,f751,f743,f3951]) ).
fof(f743,plain,
( spl40_50
<=> ! [X0] : minus(plus(X0,n1),n1) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl40_50])]) ).
fof(f751,plain,
( spl40_52
<=> ! [X0] : plus(X0,n1) = plus(n1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_52])]) ).
fof(f765,plain,
( ! [X0] : minus(plus(n1,X0),n1) = X0
| ~ spl40_50
| ~ spl40_52 ),
inference(superposition,[],[f744,f752]) ).
fof(f752,plain,
( ! [X0] : plus(X0,n1) = plus(n1,X0)
| ~ spl40_52 ),
inference(avatar_component_clause,[],[f751]) ).
fof(f744,plain,
( ! [X0] : minus(plus(X0,n1),n1) = X0
| ~ spl40_50 ),
inference(avatar_component_clause,[],[f743]) ).
fof(f3949,plain,
( spl40_332
| ~ spl40_257
| ~ spl40_331 ),
inference(avatar_split_clause,[],[f3945,f3942,f3033,f3947]) ).
fof(f3947,plain,
( spl40_332
<=> ! [X0] : plus(tptp_float_0_0,minus(X0,tptp_float_0_0)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl40_332])]) ).
fof(f3942,plain,
( spl40_331
<=> ! [X0] : plus(n1,minus(X0,n1)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl40_331])]) ).
fof(f3945,plain,
( ! [X0] : plus(tptp_float_0_0,minus(X0,tptp_float_0_0)) = X0
| ~ spl40_257
| ~ spl40_331 ),
inference(forward_demodulation,[],[f3943,f3035]) ).
fof(f3943,plain,
( ! [X0] : plus(n1,minus(X0,n1)) = X0
| ~ spl40_331 ),
inference(avatar_component_clause,[],[f3942]) ).
fof(f3944,plain,
( spl40_331
| ~ spl40_51
| ~ spl40_52 ),
inference(avatar_split_clause,[],[f764,f751,f747,f3942]) ).
fof(f747,plain,
( spl40_51
<=> ! [X0] : plus(minus(X0,n1),n1) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl40_51])]) ).
fof(f764,plain,
( ! [X0] : plus(n1,minus(X0,n1)) = X0
| ~ spl40_51
| ~ spl40_52 ),
inference(superposition,[],[f752,f748]) ).
fof(f748,plain,
( ! [X0] : plus(minus(X0,n1),n1) = X0
| ~ spl40_51 ),
inference(avatar_component_clause,[],[f747]) ).
fof(f3939,plain,
( spl40_330
| ~ spl40_19
| ~ spl40_45
| ~ spl40_152 ),
inference(avatar_split_clause,[],[f1411,f1289,f681,f548,f3937]) ).
fof(f3937,plain,
( spl40_330
<=> ! [X0] :
( gt(X0,tptp_float_0_0)
| ~ gt(X0,n5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_330])]) ).
fof(f548,plain,
( spl40_19
<=> gt(n5,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_19])]) ).
fof(f1289,plain,
( spl40_152
<=> ! [X2,X0,X1] :
( gt(X0,X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_152])]) ).
fof(f1411,plain,
( ! [X0] :
( gt(X0,tptp_float_0_0)
| ~ gt(X0,n5) )
| ~ spl40_19
| ~ spl40_45
| ~ spl40_152 ),
inference(forward_demodulation,[],[f1400,f683]) ).
fof(f1400,plain,
( ! [X0] :
( gt(X0,n0)
| ~ gt(X0,n5) )
| ~ spl40_19
| ~ spl40_152 ),
inference(resolution,[],[f1290,f550]) ).
fof(f550,plain,
( gt(n5,n0)
| ~ spl40_19 ),
inference(avatar_component_clause,[],[f548]) ).
fof(f1290,plain,
( ! [X2,X0,X1] :
( ~ gt(X1,X2)
| gt(X0,X2)
| ~ gt(X0,X1) )
| ~ spl40_152 ),
inference(avatar_component_clause,[],[f1289]) ).
fof(f3934,plain,
( spl40_329
| ~ spl40_24
| ~ spl40_45
| ~ spl40_152 ),
inference(avatar_split_clause,[],[f1410,f1289,f681,f573,f3932]) ).
fof(f3932,plain,
( spl40_329
<=> ! [X0] :
( gt(X0,tptp_float_0_0)
| ~ gt(X0,n4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_329])]) ).
fof(f573,plain,
( spl40_24
<=> gt(n4,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_24])]) ).
fof(f1410,plain,
( ! [X0] :
( gt(X0,tptp_float_0_0)
| ~ gt(X0,n4) )
| ~ spl40_24
| ~ spl40_45
| ~ spl40_152 ),
inference(forward_demodulation,[],[f1395,f683]) ).
fof(f1395,plain,
( ! [X0] :
( gt(X0,n0)
| ~ gt(X0,n4) )
| ~ spl40_24
| ~ spl40_152 ),
inference(resolution,[],[f1290,f575]) ).
fof(f575,plain,
( gt(n4,n0)
| ~ spl40_24 ),
inference(avatar_component_clause,[],[f573]) ).
fof(f3929,plain,
( spl40_328
| ~ spl40_28
| ~ spl40_45
| ~ spl40_152 ),
inference(avatar_split_clause,[],[f1409,f1289,f681,f593,f3927]) ).
fof(f3927,plain,
( spl40_328
<=> ! [X0] :
( gt(X0,tptp_float_0_0)
| ~ gt(X0,n3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_328])]) ).
fof(f593,plain,
( spl40_28
<=> gt(n3,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_28])]) ).
fof(f1409,plain,
( ! [X0] :
( gt(X0,tptp_float_0_0)
| ~ gt(X0,n3) )
| ~ spl40_28
| ~ spl40_45
| ~ spl40_152 ),
inference(forward_demodulation,[],[f1391,f683]) ).
fof(f1391,plain,
( ! [X0] :
( gt(X0,n0)
| ~ gt(X0,n3) )
| ~ spl40_28
| ~ spl40_152 ),
inference(resolution,[],[f1290,f595]) ).
fof(f595,plain,
( gt(n3,n0)
| ~ spl40_28 ),
inference(avatar_component_clause,[],[f593]) ).
fof(f3924,plain,
( spl40_327
| ~ spl40_31
| ~ spl40_45
| ~ spl40_152 ),
inference(avatar_split_clause,[],[f1408,f1289,f681,f608,f3922]) ).
fof(f3922,plain,
( spl40_327
<=> ! [X0] :
( gt(X0,tptp_float_0_0)
| ~ gt(X0,n2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_327])]) ).
fof(f608,plain,
( spl40_31
<=> gt(n2,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_31])]) ).
fof(f1408,plain,
( ! [X0] :
( gt(X0,tptp_float_0_0)
| ~ gt(X0,n2) )
| ~ spl40_31
| ~ spl40_45
| ~ spl40_152 ),
inference(forward_demodulation,[],[f1390,f683]) ).
fof(f1390,plain,
( ! [X0] :
( gt(X0,n0)
| ~ gt(X0,n2) )
| ~ spl40_31
| ~ spl40_152 ),
inference(resolution,[],[f1290,f610]) ).
fof(f610,plain,
( gt(n2,n0)
| ~ spl40_31 ),
inference(avatar_component_clause,[],[f608]) ).
fof(f3919,plain,
( spl40_326
| ~ spl40_33
| ~ spl40_45
| ~ spl40_152 ),
inference(avatar_split_clause,[],[f1407,f1289,f681,f618,f3917]) ).
fof(f3917,plain,
( spl40_326
<=> ! [X0] :
( gt(X0,tptp_float_0_0)
| ~ gt(X0,n1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_326])]) ).
fof(f618,plain,
( spl40_33
<=> gt(n1,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_33])]) ).
fof(f1407,plain,
( ! [X0] :
( gt(X0,tptp_float_0_0)
| ~ gt(X0,n1) )
| ~ spl40_33
| ~ spl40_45
| ~ spl40_152 ),
inference(forward_demodulation,[],[f1385,f683]) ).
fof(f1385,plain,
( ! [X0] :
( gt(X0,n0)
| ~ gt(X0,n1) )
| ~ spl40_33
| ~ spl40_152 ),
inference(resolution,[],[f1290,f620]) ).
fof(f620,plain,
( gt(n1,n0)
| ~ spl40_33 ),
inference(avatar_component_clause,[],[f618]) ).
fof(f3915,plain,
( spl40_325
| ~ spl40_41
| ~ spl40_252
| ~ spl40_256
| ~ spl40_257
| ~ spl40_263
| ~ spl40_269 ),
inference(avatar_split_clause,[],[f3447,f3089,f3062,f3033,f3028,f3009,f655,f3912]) ).
fof(f3912,plain,
( spl40_325
<=> tptp_float_0_0 = n3 ),
introduced(avatar_definition,[new_symbols(naming,[spl40_325])]) ).
fof(f655,plain,
( spl40_41
<=> n3 = plus(n2,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_41])]) ).
fof(f3028,plain,
( spl40_256
<=> n1 = minus(n2,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_256])]) ).
fof(f3062,plain,
( spl40_263
<=> tptp_minus_1 = minus(tptp_float_0_0,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_263])]) ).
fof(f3089,plain,
( spl40_269
<=> n1 = plus(n2,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_269])]) ).
fof(f3447,plain,
( tptp_float_0_0 = n3
| ~ spl40_41
| ~ spl40_252
| ~ spl40_256
| ~ spl40_257
| ~ spl40_263
| ~ spl40_269 ),
inference(forward_demodulation,[],[f3446,f3035]) ).
fof(f3446,plain,
( n1 = n3
| ~ spl40_41
| ~ spl40_252
| ~ spl40_256
| ~ spl40_257
| ~ spl40_263
| ~ spl40_269 ),
inference(forward_demodulation,[],[f3445,f3330]) ).
fof(f3330,plain,
( n3 = plus(tptp_float_0_0,tptp_float_0_0)
| ~ spl40_41
| ~ spl40_252
| ~ spl40_257 ),
inference(forward_demodulation,[],[f3220,f3035]) ).
fof(f3220,plain,
( n3 = plus(tptp_float_0_0,n1)
| ~ spl40_41
| ~ spl40_252 ),
inference(superposition,[],[f657,f3011]) ).
fof(f657,plain,
( n3 = plus(n2,n1)
| ~ spl40_41 ),
inference(avatar_component_clause,[],[f655]) ).
fof(f3445,plain,
( n1 = plus(tptp_float_0_0,tptp_float_0_0)
| ~ spl40_252
| ~ spl40_256
| ~ spl40_257
| ~ spl40_263
| ~ spl40_269 ),
inference(forward_demodulation,[],[f3440,f3322]) ).
fof(f3322,plain,
( tptp_minus_1 = tptp_float_0_0
| ~ spl40_252
| ~ spl40_256
| ~ spl40_257
| ~ spl40_263 ),
inference(forward_demodulation,[],[f3238,f3035]) ).
fof(f3238,plain,
( tptp_minus_1 = n1
| ~ spl40_252
| ~ spl40_256
| ~ spl40_263 ),
inference(forward_demodulation,[],[f3235,f3064]) ).
fof(f3064,plain,
( tptp_minus_1 = minus(tptp_float_0_0,n1)
| ~ spl40_263 ),
inference(avatar_component_clause,[],[f3062]) ).
fof(f3235,plain,
( n1 = minus(tptp_float_0_0,n1)
| ~ spl40_252
| ~ spl40_256 ),
inference(superposition,[],[f3030,f3011]) ).
fof(f3030,plain,
( n1 = minus(n2,n1)
| ~ spl40_256 ),
inference(avatar_component_clause,[],[f3028]) ).
fof(f3440,plain,
( n1 = plus(tptp_float_0_0,tptp_minus_1)
| ~ spl40_252
| ~ spl40_269 ),
inference(superposition,[],[f3091,f3011]) ).
fof(f3091,plain,
( n1 = plus(n2,tptp_minus_1)
| ~ spl40_269 ),
inference(avatar_component_clause,[],[f3089]) ).
fof(f3909,plain,
( spl40_324
| ~ spl40_34
| ~ spl40_45
| ~ spl40_152 ),
inference(avatar_split_clause,[],[f1406,f1289,f681,f623,f3907]) ).
fof(f3907,plain,
( spl40_324
<=> ! [X0] :
( ~ gt(X0,tptp_float_0_0)
| gt(X0,tptp_minus_1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_324])]) ).
fof(f623,plain,
( spl40_34
<=> gt(n0,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_34])]) ).
fof(f1406,plain,
( ! [X0] :
( ~ gt(X0,tptp_float_0_0)
| gt(X0,tptp_minus_1) )
| ~ spl40_34
| ~ spl40_45
| ~ spl40_152 ),
inference(forward_demodulation,[],[f1383,f683]) ).
fof(f1383,plain,
( ! [X0] :
( gt(X0,tptp_minus_1)
| ~ gt(X0,n0) )
| ~ spl40_34
| ~ spl40_152 ),
inference(resolution,[],[f1290,f625]) ).
fof(f625,plain,
( gt(n0,tptp_minus_1)
| ~ spl40_34 ),
inference(avatar_component_clause,[],[f623]) ).
fof(f3904,plain,
( spl40_323
| ~ spl40_15
| ~ spl40_152 ),
inference(avatar_split_clause,[],[f1405,f1289,f528,f3902]) ).
fof(f3902,plain,
( spl40_323
<=> ! [X0] :
( gt(X0,n4)
| ~ gt(X0,n5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_323])]) ).
fof(f528,plain,
( spl40_15
<=> gt(n5,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_15])]) ).
fof(f1405,plain,
( ! [X0] :
( gt(X0,n4)
| ~ gt(X0,n5) )
| ~ spl40_15
| ~ spl40_152 ),
inference(resolution,[],[f1290,f530]) ).
fof(f530,plain,
( gt(n5,n4)
| ~ spl40_15 ),
inference(avatar_component_clause,[],[f528]) ).
fof(f3899,plain,
( spl40_322
| ~ spl40_16
| ~ spl40_152 ),
inference(avatar_split_clause,[],[f1404,f1289,f533,f3897]) ).
fof(f3897,plain,
( spl40_322
<=> ! [X0] :
( gt(X0,n3)
| ~ gt(X0,n5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_322])]) ).
fof(f533,plain,
( spl40_16
<=> gt(n5,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_16])]) ).
fof(f1404,plain,
( ! [X0] :
( gt(X0,n3)
| ~ gt(X0,n5) )
| ~ spl40_16
| ~ spl40_152 ),
inference(resolution,[],[f1290,f535]) ).
fof(f535,plain,
( gt(n5,n3)
| ~ spl40_16 ),
inference(avatar_component_clause,[],[f533]) ).
fof(f3894,plain,
( spl40_321
| ~ spl40_17
| ~ spl40_152 ),
inference(avatar_split_clause,[],[f1403,f1289,f538,f3892]) ).
fof(f3892,plain,
( spl40_321
<=> ! [X0] :
( gt(X0,n2)
| ~ gt(X0,n5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_321])]) ).
fof(f538,plain,
( spl40_17
<=> gt(n5,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_17])]) ).
fof(f1403,plain,
( ! [X0] :
( gt(X0,n2)
| ~ gt(X0,n5) )
| ~ spl40_17
| ~ spl40_152 ),
inference(resolution,[],[f1290,f540]) ).
fof(f540,plain,
( gt(n5,n2)
| ~ spl40_17 ),
inference(avatar_component_clause,[],[f538]) ).
fof(f3889,plain,
( spl40_320
| ~ spl40_18
| ~ spl40_152 ),
inference(avatar_split_clause,[],[f1402,f1289,f543,f3887]) ).
fof(f3887,plain,
( spl40_320
<=> ! [X0] :
( gt(X0,n1)
| ~ gt(X0,n5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_320])]) ).
fof(f543,plain,
( spl40_18
<=> gt(n5,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_18])]) ).
fof(f1402,plain,
( ! [X0] :
( gt(X0,n1)
| ~ gt(X0,n5) )
| ~ spl40_18
| ~ spl40_152 ),
inference(resolution,[],[f1290,f545]) ).
fof(f545,plain,
( gt(n5,n1)
| ~ spl40_18 ),
inference(avatar_component_clause,[],[f543]) ).
fof(f3884,plain,
( spl40_319
| ~ spl40_14
| ~ spl40_152 ),
inference(avatar_split_clause,[],[f1401,f1289,f523,f3882]) ).
fof(f3882,plain,
( spl40_319
<=> ! [X0] :
( gt(X0,tptp_minus_1)
| ~ gt(X0,n5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_319])]) ).
fof(f523,plain,
( spl40_14
<=> gt(n5,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_14])]) ).
fof(f1401,plain,
( ! [X0] :
( gt(X0,tptp_minus_1)
| ~ gt(X0,n5) )
| ~ spl40_14
| ~ spl40_152 ),
inference(resolution,[],[f1290,f525]) ).
fof(f525,plain,
( gt(n5,tptp_minus_1)
| ~ spl40_14 ),
inference(avatar_component_clause,[],[f523]) ).
fof(f3879,plain,
( spl40_318
| ~ spl40_21
| ~ spl40_152 ),
inference(avatar_split_clause,[],[f1399,f1289,f558,f3877]) ).
fof(f3877,plain,
( spl40_318
<=> ! [X0] :
( gt(X0,n3)
| ~ gt(X0,n4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_318])]) ).
fof(f558,plain,
( spl40_21
<=> gt(n4,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_21])]) ).
fof(f1399,plain,
( ! [X0] :
( gt(X0,n3)
| ~ gt(X0,n4) )
| ~ spl40_21
| ~ spl40_152 ),
inference(resolution,[],[f1290,f560]) ).
fof(f560,plain,
( gt(n4,n3)
| ~ spl40_21 ),
inference(avatar_component_clause,[],[f558]) ).
fof(f3874,plain,
( spl40_317
| ~ spl40_22
| ~ spl40_152 ),
inference(avatar_split_clause,[],[f1398,f1289,f563,f3872]) ).
fof(f3872,plain,
( spl40_317
<=> ! [X0] :
( gt(X0,n2)
| ~ gt(X0,n4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_317])]) ).
fof(f563,plain,
( spl40_22
<=> gt(n4,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_22])]) ).
fof(f1398,plain,
( ! [X0] :
( gt(X0,n2)
| ~ gt(X0,n4) )
| ~ spl40_22
| ~ spl40_152 ),
inference(resolution,[],[f1290,f565]) ).
fof(f565,plain,
( gt(n4,n2)
| ~ spl40_22 ),
inference(avatar_component_clause,[],[f563]) ).
fof(f3869,plain,
( spl40_316
| ~ spl40_23
| ~ spl40_152 ),
inference(avatar_split_clause,[],[f1397,f1289,f568,f3867]) ).
fof(f3867,plain,
( spl40_316
<=> ! [X0] :
( gt(X0,n1)
| ~ gt(X0,n4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_316])]) ).
fof(f568,plain,
( spl40_23
<=> gt(n4,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_23])]) ).
fof(f1397,plain,
( ! [X0] :
( gt(X0,n1)
| ~ gt(X0,n4) )
| ~ spl40_23
| ~ spl40_152 ),
inference(resolution,[],[f1290,f570]) ).
fof(f570,plain,
( gt(n4,n1)
| ~ spl40_23 ),
inference(avatar_component_clause,[],[f568]) ).
fof(f3864,plain,
( spl40_315
| ~ spl40_20
| ~ spl40_152 ),
inference(avatar_split_clause,[],[f1396,f1289,f553,f3862]) ).
fof(f3862,plain,
( spl40_315
<=> ! [X0] :
( gt(X0,tptp_minus_1)
| ~ gt(X0,n4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_315])]) ).
fof(f553,plain,
( spl40_20
<=> gt(n4,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_20])]) ).
fof(f1396,plain,
( ! [X0] :
( gt(X0,tptp_minus_1)
| ~ gt(X0,n4) )
| ~ spl40_20
| ~ spl40_152 ),
inference(resolution,[],[f1290,f555]) ).
fof(f555,plain,
( gt(n4,tptp_minus_1)
| ~ spl40_20 ),
inference(avatar_component_clause,[],[f553]) ).
fof(f3859,plain,
( ~ spl40_314
| ~ spl40_41
| ~ spl40_252
| ~ spl40_267 ),
inference(avatar_split_clause,[],[f3424,f3080,f3009,f655,f3856]) ).
fof(f3856,plain,
( spl40_314
<=> leq(n3,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_314])]) ).
fof(f3080,plain,
( spl40_267
<=> ! [X0] : ~ leq(plus(X0,n1),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_267])]) ).
fof(f3424,plain,
( ~ leq(n3,tptp_float_0_0)
| ~ spl40_41
| ~ spl40_252
| ~ spl40_267 ),
inference(forward_demodulation,[],[f3399,f3011]) ).
fof(f3399,plain,
( ~ leq(n3,n2)
| ~ spl40_41
| ~ spl40_267 ),
inference(superposition,[],[f3081,f657]) ).
fof(f3081,plain,
( ! [X0] : ~ leq(plus(X0,n1),X0)
| ~ spl40_267 ),
inference(avatar_component_clause,[],[f3080]) ).
fof(f3853,plain,
( spl40_313
| ~ spl40_26
| ~ spl40_152 ),
inference(avatar_split_clause,[],[f1394,f1289,f583,f3851]) ).
fof(f3851,plain,
( spl40_313
<=> ! [X0] :
( gt(X0,n2)
| ~ gt(X0,n3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_313])]) ).
fof(f583,plain,
( spl40_26
<=> gt(n3,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_26])]) ).
fof(f1394,plain,
( ! [X0] :
( gt(X0,n2)
| ~ gt(X0,n3) )
| ~ spl40_26
| ~ spl40_152 ),
inference(resolution,[],[f1290,f585]) ).
fof(f585,plain,
( gt(n3,n2)
| ~ spl40_26 ),
inference(avatar_component_clause,[],[f583]) ).
fof(f3848,plain,
( spl40_312
| ~ spl40_27
| ~ spl40_152 ),
inference(avatar_split_clause,[],[f1393,f1289,f588,f3846]) ).
fof(f3846,plain,
( spl40_312
<=> ! [X0] :
( gt(X0,n1)
| ~ gt(X0,n3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_312])]) ).
fof(f588,plain,
( spl40_27
<=> gt(n3,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_27])]) ).
fof(f1393,plain,
( ! [X0] :
( gt(X0,n1)
| ~ gt(X0,n3) )
| ~ spl40_27
| ~ spl40_152 ),
inference(resolution,[],[f1290,f590]) ).
fof(f590,plain,
( gt(n3,n1)
| ~ spl40_27 ),
inference(avatar_component_clause,[],[f588]) ).
fof(f3843,plain,
( spl40_311
| ~ spl40_25
| ~ spl40_152 ),
inference(avatar_split_clause,[],[f1392,f1289,f578,f3841]) ).
fof(f3841,plain,
( spl40_311
<=> ! [X0] :
( gt(X0,tptp_minus_1)
| ~ gt(X0,n3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_311])]) ).
fof(f578,plain,
( spl40_25
<=> gt(n3,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_25])]) ).
fof(f1392,plain,
( ! [X0] :
( gt(X0,tptp_minus_1)
| ~ gt(X0,n3) )
| ~ spl40_25
| ~ spl40_152 ),
inference(resolution,[],[f1290,f580]) ).
fof(f580,plain,
( gt(n3,tptp_minus_1)
| ~ spl40_25 ),
inference(avatar_component_clause,[],[f578]) ).
fof(f3838,plain,
( spl40_310
| ~ spl40_30
| ~ spl40_152 ),
inference(avatar_split_clause,[],[f1389,f1289,f603,f3836]) ).
fof(f3836,plain,
( spl40_310
<=> ! [X0] :
( gt(X0,n1)
| ~ gt(X0,n2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_310])]) ).
fof(f603,plain,
( spl40_30
<=> gt(n2,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_30])]) ).
fof(f1389,plain,
( ! [X0] :
( gt(X0,n1)
| ~ gt(X0,n2) )
| ~ spl40_30
| ~ spl40_152 ),
inference(resolution,[],[f1290,f605]) ).
fof(f605,plain,
( gt(n2,n1)
| ~ spl40_30 ),
inference(avatar_component_clause,[],[f603]) ).
fof(f3833,plain,
( spl40_309
| ~ spl40_29
| ~ spl40_152 ),
inference(avatar_split_clause,[],[f1388,f1289,f598,f3831]) ).
fof(f3831,plain,
( spl40_309
<=> ! [X0] :
( gt(X0,tptp_minus_1)
| ~ gt(X0,n2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_309])]) ).
fof(f598,plain,
( spl40_29
<=> gt(n2,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_29])]) ).
fof(f1388,plain,
( ! [X0] :
( gt(X0,tptp_minus_1)
| ~ gt(X0,n2) )
| ~ spl40_29
| ~ spl40_152 ),
inference(resolution,[],[f1290,f600]) ).
fof(f600,plain,
( gt(n2,tptp_minus_1)
| ~ spl40_29 ),
inference(avatar_component_clause,[],[f598]) ).
fof(f3828,plain,
( spl40_308
| ~ spl40_32
| ~ spl40_152 ),
inference(avatar_split_clause,[],[f1384,f1289,f613,f3826]) ).
fof(f3826,plain,
( spl40_308
<=> ! [X0] :
( gt(X0,tptp_minus_1)
| ~ gt(X0,n1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_308])]) ).
fof(f613,plain,
( spl40_32
<=> gt(n1,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_32])]) ).
fof(f1384,plain,
( ! [X0] :
( gt(X0,tptp_minus_1)
| ~ gt(X0,n1) )
| ~ spl40_32
| ~ spl40_152 ),
inference(resolution,[],[f1290,f615]) ).
fof(f615,plain,
( gt(n1,tptp_minus_1)
| ~ spl40_32 ),
inference(avatar_component_clause,[],[f613]) ).
fof(f3823,plain,
( spl40_307
| ~ spl40_38
| ~ spl40_45
| ~ spl40_111 ),
inference(avatar_split_clause,[],[f1224,f1035,f681,f641,f3821]) ).
fof(f3821,plain,
( spl40_307
<=> ! [X0] :
( gt(tptp_float_0_0,X0)
| ~ leq(X0,tptp_minus_1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_307])]) ).
fof(f641,plain,
( spl40_38
<=> n0 = plus(tptp_minus_1,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_38])]) ).
fof(f1035,plain,
( spl40_111
<=> ! [X0,X1] :
( gt(plus(X1,n1),X0)
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_111])]) ).
fof(f1224,plain,
( ! [X0] :
( gt(tptp_float_0_0,X0)
| ~ leq(X0,tptp_minus_1) )
| ~ spl40_38
| ~ spl40_45
| ~ spl40_111 ),
inference(forward_demodulation,[],[f1217,f683]) ).
fof(f1217,plain,
( ! [X0] :
( gt(n0,X0)
| ~ leq(X0,tptp_minus_1) )
| ~ spl40_38
| ~ spl40_111 ),
inference(superposition,[],[f1036,f643]) ).
fof(f643,plain,
( n0 = plus(tptp_minus_1,n1)
| ~ spl40_38 ),
inference(avatar_component_clause,[],[f641]) ).
fof(f1036,plain,
( ! [X0,X1] :
( gt(plus(X1,n1),X0)
| ~ leq(X0,X1) )
| ~ spl40_111 ),
inference(avatar_component_clause,[],[f1035]) ).
fof(f3818,plain,
( spl40_306
| ~ spl40_37
| ~ spl40_45
| ~ spl40_111 ),
inference(avatar_split_clause,[],[f1223,f1035,f681,f636,f3816]) ).
fof(f3816,plain,
( spl40_306
<=> ! [X0] :
( ~ leq(X0,tptp_float_0_0)
| gt(n1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_306])]) ).
fof(f636,plain,
( spl40_37
<=> n1 = plus(n0,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_37])]) ).
fof(f1223,plain,
( ! [X0] :
( ~ leq(X0,tptp_float_0_0)
| gt(n1,X0) )
| ~ spl40_37
| ~ spl40_45
| ~ spl40_111 ),
inference(forward_demodulation,[],[f1216,f683]) ).
fof(f1216,plain,
( ! [X0] :
( gt(n1,X0)
| ~ leq(X0,n0) )
| ~ spl40_37
| ~ spl40_111 ),
inference(superposition,[],[f1036,f638]) ).
fof(f638,plain,
( n1 = plus(n0,n1)
| ~ spl40_37 ),
inference(avatar_component_clause,[],[f636]) ).
fof(f3812,plain,
( spl40_305
| ~ spl40_43
| ~ spl40_111 ),
inference(avatar_split_clause,[],[f1221,f1035,f665,f3810]) ).
fof(f3810,plain,
( spl40_305
<=> ! [X0] :
( gt(n5,X0)
| ~ leq(X0,n4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_305])]) ).
fof(f665,plain,
( spl40_43
<=> n5 = plus(n4,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_43])]) ).
fof(f1221,plain,
( ! [X0] :
( gt(n5,X0)
| ~ leq(X0,n4) )
| ~ spl40_43
| ~ spl40_111 ),
inference(superposition,[],[f1036,f667]) ).
fof(f667,plain,
( n5 = plus(n4,n1)
| ~ spl40_43 ),
inference(avatar_component_clause,[],[f665]) ).
fof(f3806,plain,
( spl40_304
| ~ spl40_42
| ~ spl40_111 ),
inference(avatar_split_clause,[],[f1220,f1035,f660,f3804]) ).
fof(f3804,plain,
( spl40_304
<=> ! [X0] :
( gt(n4,X0)
| ~ leq(X0,n3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_304])]) ).
fof(f660,plain,
( spl40_42
<=> n4 = plus(n3,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_42])]) ).
fof(f1220,plain,
( ! [X0] :
( gt(n4,X0)
| ~ leq(X0,n3) )
| ~ spl40_42
| ~ spl40_111 ),
inference(superposition,[],[f1036,f662]) ).
fof(f662,plain,
( n4 = plus(n3,n1)
| ~ spl40_42 ),
inference(avatar_component_clause,[],[f660]) ).
fof(f3802,plain,
( ~ spl40_303
| ~ spl40_37
| ~ spl40_45
| ~ spl40_257
| ~ spl40_267 ),
inference(avatar_split_clause,[],[f3408,f3080,f3033,f681,f636,f3799]) ).
fof(f3799,plain,
( spl40_303
<=> leq(tptp_float_0_0,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_303])]) ).
fof(f3408,plain,
( ~ leq(tptp_float_0_0,tptp_float_0_0)
| ~ spl40_37
| ~ spl40_45
| ~ spl40_257
| ~ spl40_267 ),
inference(forward_demodulation,[],[f3407,f3035]) ).
fof(f3407,plain,
( ~ leq(n1,tptp_float_0_0)
| ~ spl40_37
| ~ spl40_45
| ~ spl40_267 ),
inference(forward_demodulation,[],[f3387,f683]) ).
fof(f3387,plain,
( ~ leq(n1,n0)
| ~ spl40_37
| ~ spl40_267 ),
inference(superposition,[],[f3081,f638]) ).
fof(f3795,plain,
( spl40_302
| ~ spl40_41
| ~ spl40_111 ),
inference(avatar_split_clause,[],[f1219,f1035,f655,f3793]) ).
fof(f3793,plain,
( spl40_302
<=> ! [X0] :
( gt(n3,X0)
| ~ leq(X0,n2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_302])]) ).
fof(f1219,plain,
( ! [X0] :
( gt(n3,X0)
| ~ leq(X0,n2) )
| ~ spl40_41
| ~ spl40_111 ),
inference(superposition,[],[f1036,f657]) ).
fof(f3762,plain,
( spl40_301
| ~ spl40_252
| ~ spl40_257
| ~ spl40_300 ),
inference(avatar_split_clause,[],[f3758,f3754,f3033,f3009,f3760]) ).
fof(f3760,plain,
( spl40_301
<=> ! [X0] :
( ~ leq(X0,tptp_float_0_0)
| gt(tptp_float_0_0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_301])]) ).
fof(f3754,plain,
( spl40_300
<=> ! [X0] :
( gt(n2,X0)
| ~ leq(X0,n1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_300])]) ).
fof(f3758,plain,
( ! [X0] :
( ~ leq(X0,tptp_float_0_0)
| gt(tptp_float_0_0,X0) )
| ~ spl40_252
| ~ spl40_257
| ~ spl40_300 ),
inference(forward_demodulation,[],[f3757,f3035]) ).
fof(f3757,plain,
( ! [X0] :
( gt(tptp_float_0_0,X0)
| ~ leq(X0,n1) )
| ~ spl40_252
| ~ spl40_300 ),
inference(forward_demodulation,[],[f3755,f3011]) ).
fof(f3755,plain,
( ! [X0] :
( gt(n2,X0)
| ~ leq(X0,n1) )
| ~ spl40_300 ),
inference(avatar_component_clause,[],[f3754]) ).
fof(f3756,plain,
( spl40_300
| ~ spl40_40
| ~ spl40_111 ),
inference(avatar_split_clause,[],[f1218,f1035,f650,f3754]) ).
fof(f650,plain,
( spl40_40
<=> n2 = plus(n1,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_40])]) ).
fof(f1218,plain,
( ! [X0] :
( gt(n2,X0)
| ~ leq(X0,n1) )
| ~ spl40_40
| ~ spl40_111 ),
inference(superposition,[],[f1036,f652]) ).
fof(f652,plain,
( n2 = plus(n1,n1)
| ~ spl40_40 ),
inference(avatar_component_clause,[],[f650]) ).
fof(f3751,plain,
( spl40_299
| ~ spl40_38
| ~ spl40_45
| ~ spl40_110 ),
inference(avatar_split_clause,[],[f1211,f1031,f681,f641,f3749]) ).
fof(f3749,plain,
( spl40_299
<=> ! [X0] :
( ~ gt(tptp_float_0_0,X0)
| leq(X0,tptp_minus_1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_299])]) ).
fof(f1031,plain,
( spl40_110
<=> ! [X0,X1] :
( leq(X0,X1)
| ~ gt(plus(X1,n1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_110])]) ).
fof(f1211,plain,
( ! [X0] :
( ~ gt(tptp_float_0_0,X0)
| leq(X0,tptp_minus_1) )
| ~ spl40_38
| ~ spl40_45
| ~ spl40_110 ),
inference(forward_demodulation,[],[f1204,f683]) ).
fof(f1204,plain,
( ! [X0] :
( ~ gt(n0,X0)
| leq(X0,tptp_minus_1) )
| ~ spl40_38
| ~ spl40_110 ),
inference(superposition,[],[f1032,f643]) ).
fof(f1032,plain,
( ! [X0,X1] :
( ~ gt(plus(X1,n1),X0)
| leq(X0,X1) )
| ~ spl40_110 ),
inference(avatar_component_clause,[],[f1031]) ).
fof(f3746,plain,
( spl40_298
| ~ spl40_37
| ~ spl40_45
| ~ spl40_110 ),
inference(avatar_split_clause,[],[f1210,f1031,f681,f636,f3744]) ).
fof(f3744,plain,
( spl40_298
<=> ! [X0] :
( leq(X0,tptp_float_0_0)
| ~ gt(n1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_298])]) ).
fof(f1210,plain,
( ! [X0] :
( leq(X0,tptp_float_0_0)
| ~ gt(n1,X0) )
| ~ spl40_37
| ~ spl40_45
| ~ spl40_110 ),
inference(forward_demodulation,[],[f1203,f683]) ).
fof(f1203,plain,
( ! [X0] :
( ~ gt(n1,X0)
| leq(X0,n0) )
| ~ spl40_37
| ~ spl40_110 ),
inference(superposition,[],[f1032,f638]) ).
fof(f3740,plain,
( spl40_297
| ~ spl40_43
| ~ spl40_110 ),
inference(avatar_split_clause,[],[f1208,f1031,f665,f3738]) ).
fof(f3738,plain,
( spl40_297
<=> ! [X0] :
( ~ gt(n5,X0)
| leq(X0,n4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_297])]) ).
fof(f1208,plain,
( ! [X0] :
( ~ gt(n5,X0)
| leq(X0,n4) )
| ~ spl40_43
| ~ spl40_110 ),
inference(superposition,[],[f1032,f667]) ).
fof(f3734,plain,
( spl40_296
| ~ spl40_42
| ~ spl40_110 ),
inference(avatar_split_clause,[],[f1207,f1031,f660,f3732]) ).
fof(f3732,plain,
( spl40_296
<=> ! [X0] :
( ~ gt(n4,X0)
| leq(X0,n3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_296])]) ).
fof(f1207,plain,
( ! [X0] :
( ~ gt(n4,X0)
| leq(X0,n3) )
| ~ spl40_42
| ~ spl40_110 ),
inference(superposition,[],[f1032,f662]) ).
fof(f3728,plain,
( spl40_295
| ~ spl40_41
| ~ spl40_110 ),
inference(avatar_split_clause,[],[f1206,f1031,f655,f3726]) ).
fof(f3726,plain,
( spl40_295
<=> ! [X0] :
( ~ gt(n3,X0)
| leq(X0,n2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_295])]) ).
fof(f1206,plain,
( ! [X0] :
( ~ gt(n3,X0)
| leq(X0,n2) )
| ~ spl40_41
| ~ spl40_110 ),
inference(superposition,[],[f1032,f657]) ).
fof(f3722,plain,
( spl40_294
| ~ spl40_40
| ~ spl40_110 ),
inference(avatar_split_clause,[],[f1205,f1031,f650,f3720]) ).
fof(f3720,plain,
( spl40_294
<=> ! [X0] :
( ~ gt(n2,X0)
| leq(X0,n1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_294])]) ).
fof(f1205,plain,
( ! [X0] :
( ~ gt(n2,X0)
| leq(X0,n1) )
| ~ spl40_40
| ~ spl40_110 ),
inference(superposition,[],[f1032,f652]) ).
fof(f3718,plain,
( spl40_293
| ~ spl40_252
| ~ spl40_256
| ~ spl40_257
| ~ spl40_263 ),
inference(avatar_split_clause,[],[f3322,f3062,f3033,f3028,f3009,f3715]) ).
fof(f3712,plain,
( spl40_292
| ~ spl40_38
| ~ spl40_45
| ~ spl40_109 ),
inference(avatar_split_clause,[],[f1200,f1027,f681,f641,f3710]) ).
fof(f3710,plain,
( spl40_292
<=> ! [X0] :
( ~ leq(tptp_float_0_0,X0)
| gt(X0,tptp_minus_1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_292])]) ).
fof(f1027,plain,
( spl40_109
<=> ! [X0,X1] :
( gt(X1,X0)
| ~ leq(plus(X0,n1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_109])]) ).
fof(f1200,plain,
( ! [X0] :
( ~ leq(tptp_float_0_0,X0)
| gt(X0,tptp_minus_1) )
| ~ spl40_38
| ~ spl40_45
| ~ spl40_109 ),
inference(forward_demodulation,[],[f1193,f683]) ).
fof(f1193,plain,
( ! [X0] :
( ~ leq(n0,X0)
| gt(X0,tptp_minus_1) )
| ~ spl40_38
| ~ spl40_109 ),
inference(superposition,[],[f1028,f643]) ).
fof(f1028,plain,
( ! [X0,X1] :
( ~ leq(plus(X0,n1),X1)
| gt(X1,X0) )
| ~ spl40_109 ),
inference(avatar_component_clause,[],[f1027]) ).
fof(f3707,plain,
( spl40_291
| ~ spl40_37
| ~ spl40_45
| ~ spl40_109 ),
inference(avatar_split_clause,[],[f1199,f1027,f681,f636,f3705]) ).
fof(f3705,plain,
( spl40_291
<=> ! [X0] :
( gt(X0,tptp_float_0_0)
| ~ leq(n1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_291])]) ).
fof(f1199,plain,
( ! [X0] :
( gt(X0,tptp_float_0_0)
| ~ leq(n1,X0) )
| ~ spl40_37
| ~ spl40_45
| ~ spl40_109 ),
inference(forward_demodulation,[],[f1192,f683]) ).
fof(f1192,plain,
( ! [X0] :
( ~ leq(n1,X0)
| gt(X0,n0) )
| ~ spl40_37
| ~ spl40_109 ),
inference(superposition,[],[f1028,f638]) ).
fof(f3701,plain,
( spl40_290
| ~ spl40_43
| ~ spl40_109 ),
inference(avatar_split_clause,[],[f1197,f1027,f665,f3699]) ).
fof(f3699,plain,
( spl40_290
<=> ! [X0] :
( ~ leq(n5,X0)
| gt(X0,n4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_290])]) ).
fof(f1197,plain,
( ! [X0] :
( ~ leq(n5,X0)
| gt(X0,n4) )
| ~ spl40_43
| ~ spl40_109 ),
inference(superposition,[],[f1028,f667]) ).
fof(f3695,plain,
( spl40_289
| ~ spl40_42
| ~ spl40_109 ),
inference(avatar_split_clause,[],[f1196,f1027,f660,f3693]) ).
fof(f3693,plain,
( spl40_289
<=> ! [X0] :
( ~ leq(n4,X0)
| gt(X0,n3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_289])]) ).
fof(f1196,plain,
( ! [X0] :
( ~ leq(n4,X0)
| gt(X0,n3) )
| ~ spl40_42
| ~ spl40_109 ),
inference(superposition,[],[f1028,f662]) ).
fof(f3689,plain,
( spl40_288
| ~ spl40_41
| ~ spl40_109 ),
inference(avatar_split_clause,[],[f1195,f1027,f655,f3687]) ).
fof(f3687,plain,
( spl40_288
<=> ! [X0] :
( ~ leq(n3,X0)
| gt(X0,n2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_288])]) ).
fof(f1195,plain,
( ! [X0] :
( ~ leq(n3,X0)
| gt(X0,n2) )
| ~ spl40_41
| ~ spl40_109 ),
inference(superposition,[],[f1028,f657]) ).
fof(f3648,plain,
( spl40_287
| ~ spl40_252
| ~ spl40_257
| ~ spl40_286 ),
inference(avatar_split_clause,[],[f3644,f3640,f3033,f3009,f3646]) ).
fof(f3646,plain,
( spl40_287
<=> ! [X0] :
( gt(X0,tptp_float_0_0)
| ~ leq(tptp_float_0_0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_287])]) ).
fof(f3640,plain,
( spl40_286
<=> ! [X0] :
( ~ leq(n2,X0)
| gt(X0,n1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_286])]) ).
fof(f3644,plain,
( ! [X0] :
( gt(X0,tptp_float_0_0)
| ~ leq(tptp_float_0_0,X0) )
| ~ spl40_252
| ~ spl40_257
| ~ spl40_286 ),
inference(forward_demodulation,[],[f3643,f3035]) ).
fof(f3643,plain,
( ! [X0] :
( ~ leq(tptp_float_0_0,X0)
| gt(X0,n1) )
| ~ spl40_252
| ~ spl40_286 ),
inference(forward_demodulation,[],[f3641,f3011]) ).
fof(f3641,plain,
( ! [X0] :
( ~ leq(n2,X0)
| gt(X0,n1) )
| ~ spl40_286 ),
inference(avatar_component_clause,[],[f3640]) ).
fof(f3642,plain,
( spl40_286
| ~ spl40_40
| ~ spl40_109 ),
inference(avatar_split_clause,[],[f1194,f1027,f650,f3640]) ).
fof(f1194,plain,
( ! [X0] :
( ~ leq(n2,X0)
| gt(X0,n1) )
| ~ spl40_40
| ~ spl40_109 ),
inference(superposition,[],[f1028,f652]) ).
fof(f3637,plain,
( spl40_285
| ~ spl40_38
| ~ spl40_45
| ~ spl40_108 ),
inference(avatar_split_clause,[],[f1188,f1023,f681,f641,f3635]) ).
fof(f3635,plain,
( spl40_285
<=> ! [X0] :
( leq(X0,tptp_float_0_0)
| ~ leq(X0,tptp_minus_1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_285])]) ).
fof(f1023,plain,
( spl40_108
<=> ! [X0,X1] :
( leq(X0,plus(X1,n1))
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_108])]) ).
fof(f1188,plain,
( ! [X0] :
( leq(X0,tptp_float_0_0)
| ~ leq(X0,tptp_minus_1) )
| ~ spl40_38
| ~ spl40_45
| ~ spl40_108 ),
inference(forward_demodulation,[],[f1181,f683]) ).
fof(f1181,plain,
( ! [X0] :
( leq(X0,n0)
| ~ leq(X0,tptp_minus_1) )
| ~ spl40_38
| ~ spl40_108 ),
inference(superposition,[],[f1024,f643]) ).
fof(f1024,plain,
( ! [X0,X1] :
( leq(X0,plus(X1,n1))
| ~ leq(X0,X1) )
| ~ spl40_108 ),
inference(avatar_component_clause,[],[f1023]) ).
fof(f3632,plain,
( spl40_284
| ~ spl40_37
| ~ spl40_45
| ~ spl40_108 ),
inference(avatar_split_clause,[],[f1187,f1023,f681,f636,f3630]) ).
fof(f3630,plain,
( spl40_284
<=> ! [X0] :
( ~ leq(X0,tptp_float_0_0)
| leq(X0,n1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_284])]) ).
fof(f1187,plain,
( ! [X0] :
( ~ leq(X0,tptp_float_0_0)
| leq(X0,n1) )
| ~ spl40_37
| ~ spl40_45
| ~ spl40_108 ),
inference(forward_demodulation,[],[f1180,f683]) ).
fof(f1180,plain,
( ! [X0] :
( leq(X0,n1)
| ~ leq(X0,n0) )
| ~ spl40_37
| ~ spl40_108 ),
inference(superposition,[],[f1024,f638]) ).
fof(f3628,plain,
( spl40_283
| ~ spl40_257
| ~ spl40_276 ),
inference(avatar_split_clause,[],[f3321,f3284,f3033,f3625]) ).
fof(f3284,plain,
( spl40_276
<=> gt(tptp_float_0_0,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_276])]) ).
fof(f3321,plain,
( gt(tptp_float_0_0,tptp_float_0_0)
| ~ spl40_257
| ~ spl40_276 ),
inference(forward_demodulation,[],[f3286,f3035]) ).
fof(f3286,plain,
( gt(tptp_float_0_0,n1)
| ~ spl40_276 ),
inference(avatar_component_clause,[],[f3284]) ).
fof(f3621,plain,
( spl40_282
| ~ spl40_43
| ~ spl40_108 ),
inference(avatar_split_clause,[],[f1185,f1023,f665,f3619]) ).
fof(f3619,plain,
( spl40_282
<=> ! [X0] :
( leq(X0,n5)
| ~ leq(X0,n4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_282])]) ).
fof(f1185,plain,
( ! [X0] :
( leq(X0,n5)
| ~ leq(X0,n4) )
| ~ spl40_43
| ~ spl40_108 ),
inference(superposition,[],[f1024,f667]) ).
fof(f3615,plain,
( spl40_281
| ~ spl40_42
| ~ spl40_108 ),
inference(avatar_split_clause,[],[f1184,f1023,f660,f3613]) ).
fof(f3613,plain,
( spl40_281
<=> ! [X0] :
( leq(X0,n4)
| ~ leq(X0,n3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_281])]) ).
fof(f1184,plain,
( ! [X0] :
( leq(X0,n4)
| ~ leq(X0,n3) )
| ~ spl40_42
| ~ spl40_108 ),
inference(superposition,[],[f1024,f662]) ).
fof(f3609,plain,
( spl40_280
| ~ spl40_41
| ~ spl40_108 ),
inference(avatar_split_clause,[],[f1183,f1023,f655,f3607]) ).
fof(f3607,plain,
( spl40_280
<=> ! [X0] :
( leq(X0,n3)
| ~ leq(X0,n2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_280])]) ).
fof(f1183,plain,
( ! [X0] :
( leq(X0,n3)
| ~ leq(X0,n2) )
| ~ spl40_41
| ~ spl40_108 ),
inference(superposition,[],[f1024,f657]) ).
fof(f3603,plain,
( spl40_279
| ~ spl40_40
| ~ spl40_108 ),
inference(avatar_split_clause,[],[f1182,f1023,f650,f3601]) ).
fof(f3601,plain,
( spl40_279
<=> ! [X0] :
( leq(X0,n2)
| ~ leq(X0,n1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_279])]) ).
fof(f1182,plain,
( ! [X0] :
( leq(X0,n2)
| ~ leq(X0,n1) )
| ~ spl40_40
| ~ spl40_108 ),
inference(superposition,[],[f1024,f652]) ).
fof(f3349,plain,
( spl40_252
| ~ spl40_250
| ~ spl40_257 ),
inference(avatar_split_clause,[],[f3299,f3033,f2993,f3009]) ).
fof(f3299,plain,
( tptp_float_0_0 = n2
| ~ spl40_250
| ~ spl40_257 ),
inference(forward_demodulation,[],[f2995,f3035]) ).
fof(f3320,plain,
( ~ spl40_69
| spl40_278 ),
inference(avatar_contradiction_clause,[],[f3319]) ).
fof(f3319,plain,
( $false
| ~ spl40_69
| spl40_278 ),
inference(trivial_inequality_removal,[],[f3317]) ).
fof(f3317,plain,
( use != use
| ~ spl40_69
| spl40_278 ),
inference(superposition,[],[f3315,f848]) ).
fof(f3315,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,tptp_float_0_0,use),tptp_float_0_0,use),tptp_float_0_0,use),tptp_float_0_0)
| spl40_278 ),
inference(avatar_component_clause,[],[f3313]) ).
fof(f3316,plain,
( ~ spl40_278
| spl40_226
| ~ spl40_250
| ~ spl40_257 ),
inference(avatar_split_clause,[],[f3304,f3033,f2993,f2475,f3313]) ).
fof(f3304,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,tptp_float_0_0,use),tptp_float_0_0,use),tptp_float_0_0,use),tptp_float_0_0)
| spl40_226
| ~ spl40_250
| ~ spl40_257 ),
inference(forward_demodulation,[],[f3303,f3299]) ).
fof(f3303,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,tptp_float_0_0,use),tptp_float_0_0,use),n2,use),tptp_float_0_0)
| spl40_226
| ~ spl40_257 ),
inference(forward_demodulation,[],[f2477,f3035]) ).
fof(f3297,plain,
( ~ spl40_69
| spl40_277 ),
inference(avatar_contradiction_clause,[],[f3296]) ).
fof(f3296,plain,
( $false
| ~ spl40_69
| spl40_277 ),
inference(trivial_inequality_removal,[],[f3294]) ).
fof(f3294,plain,
( use != use
| ~ spl40_69
| spl40_277 ),
inference(superposition,[],[f3292,f848]) ).
fof(f3292,plain,
( use != a_select2(tptp_update2(tptp_update2(rho_defuse,tptp_float_0_0,use),tptp_float_0_0,use),tptp_float_0_0)
| spl40_277 ),
inference(avatar_component_clause,[],[f3290]) ).
fof(f3290,plain,
( spl40_277
<=> use = a_select2(tptp_update2(tptp_update2(rho_defuse,tptp_float_0_0,use),tptp_float_0_0,use),tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_277])]) ).
fof(f3293,plain,
( ~ spl40_277
| spl40_253
| ~ spl40_257 ),
inference(avatar_split_clause,[],[f3288,f3033,f3013,f3290]) ).
fof(f3013,plain,
( spl40_253
<=> use = a_select2(tptp_update2(tptp_update2(rho_defuse,tptp_float_0_0,use),n1,use),tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_253])]) ).
fof(f3288,plain,
( use != a_select2(tptp_update2(tptp_update2(rho_defuse,tptp_float_0_0,use),tptp_float_0_0,use),tptp_float_0_0)
| spl40_253
| ~ spl40_257 ),
inference(forward_demodulation,[],[f3015,f3035]) ).
fof(f3015,plain,
( use != a_select2(tptp_update2(tptp_update2(rho_defuse,tptp_float_0_0,use),n1,use),tptp_float_0_0)
| spl40_253 ),
inference(avatar_component_clause,[],[f3013]) ).
fof(f3287,plain,
( spl40_276
| ~ spl40_30
| ~ spl40_252 ),
inference(avatar_split_clause,[],[f3218,f3009,f603,f3284]) ).
fof(f3218,plain,
( gt(tptp_float_0_0,n1)
| ~ spl40_30
| ~ spl40_252 ),
inference(superposition,[],[f605,f3011]) ).
fof(f3211,plain,
( ~ spl40_69
| spl40_258 ),
inference(avatar_contradiction_clause,[],[f3210]) ).
fof(f3210,plain,
( $false
| ~ spl40_69
| spl40_258 ),
inference(trivial_inequality_removal,[],[f3208]) ).
fof(f3208,plain,
( use != use
| ~ spl40_69
| spl40_258 ),
inference(superposition,[],[f3039,f848]) ).
fof(f3039,plain,
( use != a_select2(tptp_update2(rho_defuse,tptp_float_0_0,use),tptp_float_0_0)
| spl40_258 ),
inference(avatar_component_clause,[],[f3037]) ).
fof(f3037,plain,
( spl40_258
<=> use = a_select2(tptp_update2(rho_defuse,tptp_float_0_0,use),tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_258])]) ).
fof(f3122,plain,
( spl40_275
| ~ spl40_41
| ~ spl40_42
| ~ spl40_154
| ~ spl40_156
| ~ spl40_157 ),
inference(avatar_split_clause,[],[f1536,f1310,f1306,f1297,f660,f655,f3119]) ).
fof(f3119,plain,
( spl40_275
<=> n4 = plus(n1,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_275])]) ).
fof(f1297,plain,
( spl40_154
<=> ! [X0] : plus(n2,X0) = plus(plus(X0,n1),n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_154])]) ).
fof(f1306,plain,
( spl40_156
<=> ! [X0] : plus(X0,n2) = plus(plus(X0,n1),n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_156])]) ).
fof(f1310,plain,
( spl40_157
<=> ! [X0] : plus(X0,n3) = plus(plus(n2,X0),n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_157])]) ).
fof(f1536,plain,
( n4 = plus(n1,n3)
| ~ spl40_41
| ~ spl40_42
| ~ spl40_154
| ~ spl40_156
| ~ spl40_157 ),
inference(forward_demodulation,[],[f1522,f1485]) ).
fof(f1485,plain,
( n4 = plus(n2,n2)
| ~ spl40_41
| ~ spl40_42
| ~ spl40_154 ),
inference(forward_demodulation,[],[f1469,f662]) ).
fof(f1469,plain,
( plus(n3,n1) = plus(n2,n2)
| ~ spl40_41
| ~ spl40_154 ),
inference(superposition,[],[f1298,f657]) ).
fof(f1298,plain,
( ! [X0] : plus(n2,X0) = plus(plus(X0,n1),n1)
| ~ spl40_154 ),
inference(avatar_component_clause,[],[f1297]) ).
fof(f1522,plain,
( plus(n1,n3) = plus(n2,n2)
| ~ spl40_156
| ~ spl40_157 ),
inference(superposition,[],[f1311,f1307]) ).
fof(f1307,plain,
( ! [X0] : plus(X0,n2) = plus(plus(X0,n1),n1)
| ~ spl40_156 ),
inference(avatar_component_clause,[],[f1306]) ).
fof(f1311,plain,
( ! [X0] : plus(X0,n3) = plus(plus(n2,X0),n1)
| ~ spl40_157 ),
inference(avatar_component_clause,[],[f1310]) ).
fof(f3117,plain,
( spl40_274
| ~ spl40_42
| ~ spl40_43
| ~ spl40_156 ),
inference(avatar_split_clause,[],[f1514,f1306,f665,f660,f3114]) ).
fof(f3114,plain,
( spl40_274
<=> n5 = plus(n3,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_274])]) ).
fof(f1514,plain,
( n5 = plus(n3,n2)
| ~ spl40_42
| ~ spl40_43
| ~ spl40_156 ),
inference(forward_demodulation,[],[f1494,f667]) ).
fof(f1494,plain,
( plus(n4,n1) = plus(n3,n2)
| ~ spl40_42
| ~ spl40_156 ),
inference(superposition,[],[f1307,f662]) ).
fof(f3112,plain,
( spl40_273
| ~ spl40_37
| ~ spl40_38
| ~ spl40_156 ),
inference(avatar_split_clause,[],[f1510,f1306,f641,f636,f3109]) ).
fof(f1510,plain,
( n1 = plus(tptp_minus_1,n2)
| ~ spl40_37
| ~ spl40_38
| ~ spl40_156 ),
inference(forward_demodulation,[],[f1489,f638]) ).
fof(f1489,plain,
( plus(n0,n1) = plus(tptp_minus_1,n2)
| ~ spl40_38
| ~ spl40_156 ),
inference(superposition,[],[f1307,f643]) ).
fof(f3107,plain,
( spl40_272
| ~ spl40_37
| ~ spl40_40
| ~ spl40_45
| ~ spl40_156 ),
inference(avatar_split_clause,[],[f1509,f1306,f681,f650,f636,f3104]) ).
fof(f3104,plain,
( spl40_272
<=> n2 = plus(tptp_float_0_0,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_272])]) ).
fof(f1509,plain,
( n2 = plus(tptp_float_0_0,n2)
| ~ spl40_37
| ~ spl40_40
| ~ spl40_45
| ~ spl40_156 ),
inference(forward_demodulation,[],[f1508,f652]) ).
fof(f1508,plain,
( plus(n1,n1) = plus(tptp_float_0_0,n2)
| ~ spl40_37
| ~ spl40_45
| ~ spl40_156 ),
inference(forward_demodulation,[],[f1488,f683]) ).
fof(f1488,plain,
( plus(n1,n1) = plus(n0,n2)
| ~ spl40_37
| ~ spl40_156 ),
inference(superposition,[],[f1307,f638]) ).
fof(f3102,plain,
( spl40_271
| ~ spl40_42
| ~ spl40_43
| ~ spl40_154 ),
inference(avatar_split_clause,[],[f1486,f1297,f665,f660,f3099]) ).
fof(f3099,plain,
( spl40_271
<=> n5 = plus(n2,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_271])]) ).
fof(f1486,plain,
( n5 = plus(n2,n3)
| ~ spl40_42
| ~ spl40_43
| ~ spl40_154 ),
inference(forward_demodulation,[],[f1470,f667]) ).
fof(f1470,plain,
( plus(n4,n1) = plus(n2,n3)
| ~ spl40_42
| ~ spl40_154 ),
inference(superposition,[],[f1298,f662]) ).
fof(f3097,plain,
( spl40_270
| ~ spl40_41
| ~ spl40_42
| ~ spl40_154 ),
inference(avatar_split_clause,[],[f1485,f1297,f660,f655,f3094]) ).
fof(f3094,plain,
( spl40_270
<=> n4 = plus(n2,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_270])]) ).
fof(f3092,plain,
( spl40_269
| ~ spl40_37
| ~ spl40_38
| ~ spl40_154 ),
inference(avatar_split_clause,[],[f1483,f1297,f641,f636,f3089]) ).
fof(f1483,plain,
( n1 = plus(n2,tptp_minus_1)
| ~ spl40_37
| ~ spl40_38
| ~ spl40_154 ),
inference(forward_demodulation,[],[f1467,f638]) ).
fof(f1467,plain,
( plus(n0,n1) = plus(n2,tptp_minus_1)
| ~ spl40_38
| ~ spl40_154 ),
inference(superposition,[],[f1298,f643]) ).
fof(f3087,plain,
( spl40_268
| ~ spl40_37
| ~ spl40_40
| ~ spl40_45
| ~ spl40_154 ),
inference(avatar_split_clause,[],[f1482,f1297,f681,f650,f636,f3084]) ).
fof(f1482,plain,
( n2 = plus(n2,tptp_float_0_0)
| ~ spl40_37
| ~ spl40_40
| ~ spl40_45
| ~ spl40_154 ),
inference(forward_demodulation,[],[f1481,f652]) ).
fof(f1481,plain,
( plus(n1,n1) = plus(n2,tptp_float_0_0)
| ~ spl40_37
| ~ spl40_45
| ~ spl40_154 ),
inference(forward_demodulation,[],[f1466,f683]) ).
fof(f1466,plain,
( plus(n1,n1) = plus(n2,n0)
| ~ spl40_37
| ~ spl40_154 ),
inference(superposition,[],[f1298,f638]) ).
fof(f3082,plain,
( spl40_267
| ~ spl40_35
| ~ spl40_111 ),
inference(avatar_split_clause,[],[f1213,f1035,f628,f3080]) ).
fof(f1213,plain,
( ! [X0] : ~ leq(plus(X0,n1),X0)
| ~ spl40_35
| ~ spl40_111 ),
inference(resolution,[],[f1036,f629]) ).
fof(f3078,plain,
( spl40_266
| ~ spl40_37
| ~ spl40_45
| ~ spl40_52 ),
inference(avatar_split_clause,[],[f769,f751,f681,f636,f3075]) ).
fof(f3075,plain,
( spl40_266
<=> n1 = plus(n1,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_266])]) ).
fof(f769,plain,
( n1 = plus(n1,tptp_float_0_0)
| ~ spl40_37
| ~ spl40_45
| ~ spl40_52 ),
inference(forward_demodulation,[],[f763,f683]) ).
fof(f763,plain,
( n1 = plus(n1,n0)
| ~ spl40_37
| ~ spl40_52 ),
inference(superposition,[],[f752,f638]) ).
fof(f3073,plain,
( spl40_265
| ~ spl40_39
| ~ spl40_52 ),
inference(avatar_split_clause,[],[f766,f751,f646,f3071]) ).
fof(f3071,plain,
( spl40_265
<=> ! [X0] : gt(plus(n1,X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_265])]) ).
fof(f646,plain,
( spl40_39
<=> ! [X0] : gt(plus(X0,n1),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_39])]) ).
fof(f766,plain,
( ! [X0] : gt(plus(n1,X0),X0)
| ~ spl40_39
| ~ spl40_52 ),
inference(superposition,[],[f647,f752]) ).
fof(f647,plain,
( ! [X0] : gt(plus(X0,n1),X0)
| ~ spl40_39 ),
inference(avatar_component_clause,[],[f646]) ).
fof(f3069,plain,
( spl40_264
| ~ spl40_39
| ~ spl40_51 ),
inference(avatar_split_clause,[],[f762,f747,f646,f3067]) ).
fof(f3067,plain,
( spl40_264
<=> ! [X0] : gt(X0,minus(X0,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_264])]) ).
fof(f762,plain,
( ! [X0] : gt(X0,minus(X0,n1))
| ~ spl40_39
| ~ spl40_51 ),
inference(superposition,[],[f647,f748]) ).
fof(f3065,plain,
( spl40_263
| ~ spl40_38
| ~ spl40_45
| ~ spl40_50 ),
inference(avatar_split_clause,[],[f761,f743,f681,f641,f3062]) ).
fof(f761,plain,
( tptp_minus_1 = minus(tptp_float_0_0,n1)
| ~ spl40_38
| ~ spl40_45
| ~ spl40_50 ),
inference(forward_demodulation,[],[f755,f683]) ).
fof(f755,plain,
( tptp_minus_1 = minus(n0,n1)
| ~ spl40_38
| ~ spl40_50 ),
inference(superposition,[],[f744,f643]) ).
fof(f3060,plain,
( spl40_262
| ~ spl40_37
| ~ spl40_45
| ~ spl40_50 ),
inference(avatar_split_clause,[],[f760,f743,f681,f636,f3057]) ).
fof(f3057,plain,
( spl40_262
<=> tptp_float_0_0 = minus(n1,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_262])]) ).
fof(f760,plain,
( tptp_float_0_0 = minus(n1,n1)
| ~ spl40_37
| ~ spl40_45
| ~ spl40_50 ),
inference(forward_demodulation,[],[f754,f683]) ).
fof(f754,plain,
( n0 = minus(n1,n1)
| ~ spl40_37
| ~ spl40_50 ),
inference(superposition,[],[f744,f638]) ).
fof(f3055,plain,
( spl40_261
| ~ spl40_43
| ~ spl40_50 ),
inference(avatar_split_clause,[],[f759,f743,f665,f3052]) ).
fof(f3052,plain,
( spl40_261
<=> n4 = minus(n5,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_261])]) ).
fof(f759,plain,
( n4 = minus(n5,n1)
| ~ spl40_43
| ~ spl40_50 ),
inference(superposition,[],[f744,f667]) ).
fof(f3050,plain,
( spl40_260
| ~ spl40_42
| ~ spl40_50 ),
inference(avatar_split_clause,[],[f758,f743,f660,f3047]) ).
fof(f3047,plain,
( spl40_260
<=> n3 = minus(n4,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_260])]) ).
fof(f758,plain,
( n3 = minus(n4,n1)
| ~ spl40_42
| ~ spl40_50 ),
inference(superposition,[],[f744,f662]) ).
fof(f3045,plain,
( spl40_259
| ~ spl40_41
| ~ spl40_50 ),
inference(avatar_split_clause,[],[f757,f743,f655,f3042]) ).
fof(f3042,plain,
( spl40_259
<=> n2 = minus(n3,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_259])]) ).
fof(f757,plain,
( n2 = minus(n3,n1)
| ~ spl40_41
| ~ spl40_50 ),
inference(superposition,[],[f744,f657]) ).
fof(f3040,plain,
( spl40_257
| ~ spl40_258
| ~ spl40_181
| spl40_253 ),
inference(avatar_split_clause,[],[f3017,f3013,f1907,f3037,f3033]) ).
fof(f1907,plain,
( spl40_181
<=> ! [X2,X4,X0,X1] :
( a_select2(X2,X1) = a_select2(tptp_update2(X2,X0,X4),X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_181])]) ).
fof(f3017,plain,
( use != a_select2(tptp_update2(rho_defuse,tptp_float_0_0,use),tptp_float_0_0)
| tptp_float_0_0 = n1
| ~ spl40_181
| spl40_253 ),
inference(superposition,[],[f3015,f1908]) ).
fof(f1908,plain,
( ! [X2,X0,X1,X4] :
( a_select2(X2,X1) = a_select2(tptp_update2(X2,X0,X4),X1)
| X0 = X1 )
| ~ spl40_181 ),
inference(avatar_component_clause,[],[f1907]) ).
fof(f3031,plain,
( spl40_256
| ~ spl40_40
| ~ spl40_50 ),
inference(avatar_split_clause,[],[f756,f743,f650,f3028]) ).
fof(f756,plain,
( n1 = minus(n2,n1)
| ~ spl40_40
| ~ spl40_50 ),
inference(superposition,[],[f744,f652]) ).
fof(f3026,plain,
( spl40_255
| ~ spl40_39
| ~ spl40_48 ),
inference(avatar_split_clause,[],[f717,f707,f646,f3024]) ).
fof(f3024,plain,
( spl40_255
<=> ! [X0] : leq(X0,plus(X0,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_255])]) ).
fof(f707,plain,
( spl40_48
<=> ! [X0,X1] :
( leq(X0,X1)
| ~ gt(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_48])]) ).
fof(f717,plain,
( ! [X0] : leq(X0,plus(X0,n1))
| ~ spl40_39
| ~ spl40_48 ),
inference(resolution,[],[f708,f647]) ).
fof(f708,plain,
( ! [X0,X1] :
( ~ gt(X1,X0)
| leq(X0,X1) )
| ~ spl40_48 ),
inference(avatar_component_clause,[],[f707]) ).
fof(f3022,plain,
( spl40_254
| ~ spl40_37
| ~ spl40_45 ),
inference(avatar_split_clause,[],[f695,f681,f636,f3019]) ).
fof(f3019,plain,
( spl40_254
<=> n1 = plus(tptp_float_0_0,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_254])]) ).
fof(f695,plain,
( n1 = plus(tptp_float_0_0,n1)
| ~ spl40_37
| ~ spl40_45 ),
inference(superposition,[],[f638,f683]) ).
fof(f3016,plain,
( spl40_252
| ~ spl40_253
| ~ spl40_181
| spl40_227 ),
inference(avatar_split_clause,[],[f2489,f2480,f1907,f3013,f3009]) ).
fof(f2489,plain,
( use != a_select2(tptp_update2(tptp_update2(rho_defuse,tptp_float_0_0,use),n1,use),tptp_float_0_0)
| tptp_float_0_0 = n2
| ~ spl40_181
| spl40_227 ),
inference(superposition,[],[f2482,f1908]) ).
fof(f2482,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,tptp_float_0_0,use),n1,use),n2,use),tptp_float_0_0)
| spl40_227 ),
inference(avatar_component_clause,[],[f2480]) ).
fof(f3004,plain,
( ~ spl40_69
| spl40_251 ),
inference(avatar_contradiction_clause,[],[f3003]) ).
fof(f3003,plain,
( $false
| ~ spl40_69
| spl40_251 ),
inference(trivial_inequality_removal,[],[f3001]) ).
fof(f3001,plain,
( use != use
| ~ spl40_69
| spl40_251 ),
inference(superposition,[],[f2999,f848]) ).
fof(f2999,plain,
( use != a_select2(tptp_update2(tptp_update2(rho_defuse,tptp_float_0_0,use),n1,use),n1)
| spl40_251 ),
inference(avatar_component_clause,[],[f2997]) ).
fof(f2997,plain,
( spl40_251
<=> use = a_select2(tptp_update2(tptp_update2(rho_defuse,tptp_float_0_0,use),n1,use),n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_251])]) ).
fof(f3000,plain,
( spl40_250
| ~ spl40_251
| ~ spl40_181
| spl40_226 ),
inference(avatar_split_clause,[],[f2488,f2475,f1907,f2997,f2993]) ).
fof(f2488,plain,
( use != a_select2(tptp_update2(tptp_update2(rho_defuse,tptp_float_0_0,use),n1,use),n1)
| n1 = n2
| ~ spl40_181
| spl40_226 ),
inference(superposition,[],[f2477,f1908]) ).
fof(f2810,plain,
( spl40_249
| ~ spl40_19
| ~ spl40_45
| ~ spl40_48 ),
inference(avatar_split_clause,[],[f741,f707,f681,f548,f2807]) ).
fof(f2807,plain,
( spl40_249
<=> leq(tptp_float_0_0,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_249])]) ).
fof(f741,plain,
( leq(tptp_float_0_0,n5)
| ~ spl40_19
| ~ spl40_45
| ~ spl40_48 ),
inference(forward_demodulation,[],[f730,f683]) ).
fof(f730,plain,
( leq(n0,n5)
| ~ spl40_19
| ~ spl40_48 ),
inference(resolution,[],[f708,f550]) ).
fof(f2805,plain,
( spl40_248
| ~ spl40_24
| ~ spl40_45
| ~ spl40_48 ),
inference(avatar_split_clause,[],[f740,f707,f681,f573,f2802]) ).
fof(f2802,plain,
( spl40_248
<=> leq(tptp_float_0_0,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_248])]) ).
fof(f740,plain,
( leq(tptp_float_0_0,n4)
| ~ spl40_24
| ~ spl40_45
| ~ spl40_48 ),
inference(forward_demodulation,[],[f725,f683]) ).
fof(f725,plain,
( leq(n0,n4)
| ~ spl40_24
| ~ spl40_48 ),
inference(resolution,[],[f708,f575]) ).
fof(f2800,plain,
( spl40_247
| ~ spl40_28
| ~ spl40_45
| ~ spl40_48 ),
inference(avatar_split_clause,[],[f739,f707,f681,f593,f2797]) ).
fof(f2797,plain,
( spl40_247
<=> leq(tptp_float_0_0,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_247])]) ).
fof(f739,plain,
( leq(tptp_float_0_0,n3)
| ~ spl40_28
| ~ spl40_45
| ~ spl40_48 ),
inference(forward_demodulation,[],[f721,f683]) ).
fof(f721,plain,
( leq(n0,n3)
| ~ spl40_28
| ~ spl40_48 ),
inference(resolution,[],[f708,f595]) ).
fof(f2795,plain,
( spl40_246
| ~ spl40_31
| ~ spl40_45
| ~ spl40_48 ),
inference(avatar_split_clause,[],[f738,f707,f681,f608,f2792]) ).
fof(f2792,plain,
( spl40_246
<=> leq(tptp_float_0_0,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_246])]) ).
fof(f738,plain,
( leq(tptp_float_0_0,n2)
| ~ spl40_31
| ~ spl40_45
| ~ spl40_48 ),
inference(forward_demodulation,[],[f720,f683]) ).
fof(f720,plain,
( leq(n0,n2)
| ~ spl40_31
| ~ spl40_48 ),
inference(resolution,[],[f708,f610]) ).
fof(f2790,plain,
( spl40_245
| ~ spl40_33
| ~ spl40_45
| ~ spl40_48 ),
inference(avatar_split_clause,[],[f737,f707,f681,f618,f2787]) ).
fof(f2787,plain,
( spl40_245
<=> leq(tptp_float_0_0,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_245])]) ).
fof(f737,plain,
( leq(tptp_float_0_0,n1)
| ~ spl40_33
| ~ spl40_45
| ~ spl40_48 ),
inference(forward_demodulation,[],[f716,f683]) ).
fof(f716,plain,
( leq(n0,n1)
| ~ spl40_33
| ~ spl40_48 ),
inference(resolution,[],[f708,f620]) ).
fof(f2755,plain,
( spl40_244
| ~ spl40_34
| ~ spl40_45
| ~ spl40_48 ),
inference(avatar_split_clause,[],[f736,f707,f681,f623,f2752]) ).
fof(f2752,plain,
( spl40_244
<=> leq(tptp_minus_1,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_244])]) ).
fof(f736,plain,
( leq(tptp_minus_1,tptp_float_0_0)
| ~ spl40_34
| ~ spl40_45
| ~ spl40_48 ),
inference(forward_demodulation,[],[f714,f683]) ).
fof(f714,plain,
( leq(tptp_minus_1,n0)
| ~ spl40_34
| ~ spl40_48 ),
inference(resolution,[],[f708,f625]) ).
fof(f2750,plain,
( spl40_243
| ~ spl40_45
| ~ spl40_242 ),
inference(avatar_split_clause,[],[f2746,f2742,f681,f2748]) ).
fof(f2748,plain,
( spl40_243
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ leq(tptp_float_0_0,X8)
| ~ leq(tptp_float_0_0,X9)
| a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X8,X9) = a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X9,X8)
| ~ leq(X9,X6)
| ~ leq(X8,X6)
| sP12(X5,X6)
| sP11(X0,X6)
| sP10(X3,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_243])]) ).
fof(f2742,plain,
( spl40_242
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X8,X9) = a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X9,X8)
| ~ leq(X9,X6)
| ~ leq(n0,X9)
| ~ leq(X8,X6)
| ~ leq(n0,X8)
| sP12(X5,X6)
| sP11(X0,X6)
| sP10(X3,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_242])]) ).
fof(f2746,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ leq(tptp_float_0_0,X8)
| ~ leq(tptp_float_0_0,X9)
| a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X8,X9) = a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X9,X8)
| ~ leq(X9,X6)
| ~ leq(X8,X6)
| sP12(X5,X6)
| sP11(X0,X6)
| sP10(X3,X7) )
| ~ spl40_45
| ~ spl40_242 ),
inference(forward_demodulation,[],[f2745,f683]) ).
fof(f2745,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ leq(tptp_float_0_0,X9)
| a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X8,X9) = a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X9,X8)
| ~ leq(X9,X6)
| ~ leq(X8,X6)
| ~ leq(n0,X8)
| sP12(X5,X6)
| sP11(X0,X6)
| sP10(X3,X7) )
| ~ spl40_45
| ~ spl40_242 ),
inference(forward_demodulation,[],[f2743,f683]) ).
fof(f2743,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X8,X9) = a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X9,X8)
| ~ leq(X9,X6)
| ~ leq(n0,X9)
| ~ leq(X8,X6)
| ~ leq(n0,X8)
| sP12(X5,X6)
| sP11(X0,X6)
| sP10(X3,X7) )
| ~ spl40_242 ),
inference(avatar_component_clause,[],[f2742]) ).
fof(f2744,plain,
spl40_242,
inference(avatar_split_clause,[],[f409,f2742]) ).
fof(f409,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X8,X9) = a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X9,X8)
| ~ leq(X9,X6)
| ~ leq(n0,X9)
| ~ leq(X8,X6)
| ~ leq(n0,X8)
| sP12(X5,X6)
| sP11(X0,X6)
| sP10(X3,X7) ),
inference(cnf_transformation,[],[f245]) ).
fof(f245,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ! [X8,X9] :
( a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X8,X9) = a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X9,X8)
| ~ leq(X9,X6)
| ~ leq(n0,X9)
| ~ leq(X8,X6)
| ~ leq(n0,X8) )
| sP12(X5,X6)
| sP11(X0,X6)
| sP10(X3,X7) ),
inference(rectify,[],[f183]) ).
fof(f183,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ! [X14,X15] :
( a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X14,X15) = a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X15,X14)
| ~ leq(X15,X6)
| ~ leq(n0,X15)
| ~ leq(X14,X6)
| ~ leq(n0,X14) )
| sP12(X5,X6)
| sP11(X0,X6)
| sP10(X3,X7) ),
inference(definition_folding,[],[f161,f182,f181,f180]) ).
fof(f180,plain,
! [X3,X7] :
( ? [X12,X13] :
( a_select3(X3,X12,X13) != a_select3(X3,X13,X12)
& leq(X13,X7)
& leq(n0,X13)
& leq(X12,X7)
& leq(n0,X12) )
| ~ sP10(X3,X7) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f181,plain,
! [X0,X6] :
( ? [X10,X11] :
( a_select3(X0,X10,X11) != a_select3(X0,X11,X10)
& leq(X11,X6)
& leq(n0,X11)
& leq(X10,X6)
& leq(n0,X10) )
| ~ sP11(X0,X6) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f182,plain,
! [X5,X6] :
( ? [X8,X9] :
( a_select3(X5,X8,X9) != a_select3(X5,X9,X8)
& leq(X9,X6)
& leq(n0,X9)
& leq(X8,X6)
& leq(n0,X8) )
| ~ sP12(X5,X6) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f161,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ! [X14,X15] :
( a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X14,X15) = a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X15,X14)
| ~ leq(X15,X6)
| ~ leq(n0,X15)
| ~ leq(X14,X6)
| ~ leq(n0,X14) )
| ? [X8,X9] :
( a_select3(X5,X8,X9) != a_select3(X5,X9,X8)
& leq(X9,X6)
& leq(n0,X9)
& leq(X8,X6)
& leq(n0,X8) )
| ? [X10,X11] :
( a_select3(X0,X10,X11) != a_select3(X0,X11,X10)
& leq(X11,X6)
& leq(n0,X11)
& leq(X10,X6)
& leq(n0,X10) )
| ? [X12,X13] :
( a_select3(X3,X12,X13) != a_select3(X3,X13,X12)
& leq(X13,X7)
& leq(n0,X13)
& leq(X12,X7)
& leq(n0,X12) ) ),
inference(flattening,[],[f160]) ).
fof(f160,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ! [X14,X15] :
( a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X14,X15) = a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X15,X14)
| ~ leq(X15,X6)
| ~ leq(n0,X15)
| ~ leq(X14,X6)
| ~ leq(n0,X14) )
| ? [X8,X9] :
( a_select3(X5,X8,X9) != a_select3(X5,X9,X8)
& leq(X9,X6)
& leq(n0,X9)
& leq(X8,X6)
& leq(n0,X8) )
| ? [X10,X11] :
( a_select3(X0,X10,X11) != a_select3(X0,X11,X10)
& leq(X11,X6)
& leq(n0,X11)
& leq(X10,X6)
& leq(n0,X10) )
| ? [X12,X13] :
( a_select3(X3,X12,X13) != a_select3(X3,X13,X12)
& leq(X13,X7)
& leq(n0,X13)
& leq(X12,X7)
& leq(n0,X12) ) ),
inference(ennf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ! [X8,X9] :
( ( leq(X9,X6)
& leq(n0,X9)
& leq(X8,X6)
& leq(n0,X8) )
=> a_select3(X5,X8,X9) = a_select3(X5,X9,X8) )
& ! [X10,X11] :
( ( leq(X11,X6)
& leq(n0,X11)
& leq(X10,X6)
& leq(n0,X10) )
=> a_select3(X0,X10,X11) = a_select3(X0,X11,X10) )
& ! [X12,X13] :
( ( leq(X13,X7)
& leq(n0,X13)
& leq(X12,X7)
& leq(n0,X12) )
=> a_select3(X3,X12,X13) = a_select3(X3,X13,X12) ) )
=> ! [X14,X15] :
( ( leq(X15,X6)
& leq(n0,X15)
& leq(X14,X6)
& leq(n0,X14) )
=> a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X14,X15) = a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X15,X14) ) ),
inference(rectify,[],[f25]) ).
fof(f25,axiom,
! [X13,X17,X3,X19,X20,X21,X14,X18] :
( ( ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(X21,X4,X10) = a_select3(X21,X10,X4) )
& ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(X13,X4,X10) = a_select3(X13,X10,X4) )
& ! [X4,X10] :
( ( leq(X10,X18)
& leq(n0,X10)
& leq(X4,X18)
& leq(n0,X4) )
=> a_select3(X19,X4,X10) = a_select3(X19,X10,X4) ) )
=> ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(tptp_madd(X13,tptp_mmul(X17,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X19,trans(X3))),tptp_mmul(X20,tptp_mmul(X21,trans(X20)))),trans(X17)))),X4,X10) = a_select3(tptp_madd(X13,tptp_mmul(X17,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X19,trans(X3))),tptp_mmul(X20,tptp_mmul(X21,trans(X20)))),trans(X17)))),X10,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',matrix_symm_joseph_update) ).
fof(f2710,plain,
( spl40_241
| ~ spl40_45
| ~ spl40_240 ),
inference(avatar_split_clause,[],[f2706,f2701,f681,f2708]) ).
fof(f2708,plain,
( spl40_241
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ leq(tptp_float_0_0,X2)
| ~ leq(tptp_float_0_0,X3)
| ~ leq(tptp_float_0_0,X4)
| a_select3(tptp_update3(X0,X4,X4,X5),X2,X3) = a_select3(tptp_update3(X0,X4,X4,X5),X3,X2)
| ~ leq(X4,X1)
| ~ leq(X3,X1)
| ~ leq(X2,X1)
| sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_241])]) ).
fof(f2701,plain,
( spl40_240
<=> ! [X3,X4,X0,X5,X2,X1] :
( a_select3(tptp_update3(X0,X4,X4,X5),X2,X3) = a_select3(tptp_update3(X0,X4,X4,X5),X3,X2)
| ~ leq(X4,X1)
| ~ leq(n0,X4)
| ~ leq(X3,X1)
| ~ leq(n0,X3)
| ~ leq(X2,X1)
| ~ leq(n0,X2)
| sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_240])]) ).
fof(f2706,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ leq(tptp_float_0_0,X2)
| ~ leq(tptp_float_0_0,X3)
| ~ leq(tptp_float_0_0,X4)
| a_select3(tptp_update3(X0,X4,X4,X5),X2,X3) = a_select3(tptp_update3(X0,X4,X4,X5),X3,X2)
| ~ leq(X4,X1)
| ~ leq(X3,X1)
| ~ leq(X2,X1)
| sP2(X0,X1) )
| ~ spl40_45
| ~ spl40_240 ),
inference(forward_demodulation,[],[f2705,f683]) ).
fof(f2705,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ leq(tptp_float_0_0,X3)
| ~ leq(tptp_float_0_0,X4)
| a_select3(tptp_update3(X0,X4,X4,X5),X2,X3) = a_select3(tptp_update3(X0,X4,X4,X5),X3,X2)
| ~ leq(X4,X1)
| ~ leq(X3,X1)
| ~ leq(X2,X1)
| ~ leq(n0,X2)
| sP2(X0,X1) )
| ~ spl40_45
| ~ spl40_240 ),
inference(forward_demodulation,[],[f2704,f683]) ).
fof(f2704,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ leq(tptp_float_0_0,X4)
| a_select3(tptp_update3(X0,X4,X4,X5),X2,X3) = a_select3(tptp_update3(X0,X4,X4,X5),X3,X2)
| ~ leq(X4,X1)
| ~ leq(X3,X1)
| ~ leq(n0,X3)
| ~ leq(X2,X1)
| ~ leq(n0,X2)
| sP2(X0,X1) )
| ~ spl40_45
| ~ spl40_240 ),
inference(forward_demodulation,[],[f2702,f683]) ).
fof(f2702,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( a_select3(tptp_update3(X0,X4,X4,X5),X2,X3) = a_select3(tptp_update3(X0,X4,X4,X5),X3,X2)
| ~ leq(X4,X1)
| ~ leq(n0,X4)
| ~ leq(X3,X1)
| ~ leq(n0,X3)
| ~ leq(X2,X1)
| ~ leq(n0,X2)
| sP2(X0,X1) )
| ~ spl40_240 ),
inference(avatar_component_clause,[],[f2701]) ).
fof(f2703,plain,
spl40_240,
inference(avatar_split_clause,[],[f336,f2701]) ).
fof(f336,plain,
! [X2,X3,X0,X1,X4,X5] :
( a_select3(tptp_update3(X0,X4,X4,X5),X2,X3) = a_select3(tptp_update3(X0,X4,X4,X5),X3,X2)
| ~ leq(X4,X1)
| ~ leq(n0,X4)
| ~ leq(X3,X1)
| ~ leq(n0,X3)
| ~ leq(X2,X1)
| ~ leq(n0,X2)
| sP2(X0,X1) ),
inference(cnf_transformation,[],[f195]) ).
fof(f195,plain,
! [X0,X1] :
( ! [X2,X3,X4,X5] :
( a_select3(tptp_update3(X0,X4,X4,X5),X2,X3) = a_select3(tptp_update3(X0,X4,X4,X5),X3,X2)
| ~ leq(X4,X1)
| ~ leq(n0,X4)
| ~ leq(X3,X1)
| ~ leq(n0,X3)
| ~ leq(X2,X1)
| ~ leq(n0,X2) )
| sP2(X0,X1) ),
inference(rectify,[],[f167]) ).
fof(f167,plain,
! [X0,X1] :
( ! [X4,X5,X6,X7] :
( a_select3(tptp_update3(X0,X6,X6,X7),X4,X5) = a_select3(tptp_update3(X0,X6,X6,X7),X5,X4)
| ~ leq(X6,X1)
| ~ leq(n0,X6)
| ~ leq(X5,X1)
| ~ leq(n0,X5)
| ~ leq(X4,X1)
| ~ leq(n0,X4) )
| sP2(X0,X1) ),
inference(definition_folding,[],[f135,f166]) ).
fof(f166,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP2(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f135,plain,
! [X0,X1] :
( ! [X4,X5,X6,X7] :
( a_select3(tptp_update3(X0,X6,X6,X7),X4,X5) = a_select3(tptp_update3(X0,X6,X6,X7),X5,X4)
| ~ leq(X6,X1)
| ~ leq(n0,X6)
| ~ leq(X5,X1)
| ~ leq(n0,X5)
| ~ leq(X4,X1)
| ~ leq(n0,X4) )
| ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) ) ),
inference(flattening,[],[f134]) ).
fof(f134,plain,
! [X0,X1] :
( ! [X4,X5,X6,X7] :
( a_select3(tptp_update3(X0,X6,X6,X7),X4,X5) = a_select3(tptp_update3(X0,X6,X6,X7),X5,X4)
| ~ leq(X6,X1)
| ~ leq(n0,X6)
| ~ leq(X5,X1)
| ~ leq(n0,X5)
| ~ leq(X4,X1)
| ~ leq(n0,X4) )
| ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) ) ),
inference(ennf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0,X1] :
( ! [X2,X3] :
( ( leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> a_select3(X0,X2,X3) = a_select3(X0,X3,X2) )
=> ! [X4,X5,X6,X7] :
( ( leq(X6,X1)
& leq(n0,X6)
& leq(X5,X1)
& leq(n0,X5)
& leq(X4,X1)
& leq(n0,X4) )
=> a_select3(tptp_update3(X0,X6,X6,X7),X4,X5) = a_select3(tptp_update3(X0,X6,X6,X7),X5,X4) ) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X13,X14] :
( ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(X13,X4,X10) = a_select3(X13,X10,X4) )
=> ! [X4,X10,X15,X16] :
( ( leq(X15,X14)
& leq(n0,X15)
& leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(tptp_update3(X13,X15,X15,X16),X4,X10) = a_select3(tptp_update3(X13,X15,X15,X16),X10,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',matrix_symm_update_diagonal) ).
fof(f2639,plain,
( spl40_239
| ~ spl40_45
| ~ spl40_237 ),
inference(avatar_split_clause,[],[f2631,f2627,f681,f2637]) ).
fof(f2637,plain,
( spl40_239
<=> ! [X2,X3,X4,X0,X5,X1] :
( ~ leq(tptp_float_0_0,X4)
| ~ leq(tptp_float_0_0,X5)
| a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X4,X5) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X5,X4)
| ~ leq(X5,X2)
| ~ leq(X4,X2)
| sP8(X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_239])]) ).
fof(f2627,plain,
( spl40_237
<=> ! [X2,X3,X4,X0,X5,X1] :
( a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X4,X5) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X5,X4)
| ~ leq(X5,X2)
| ~ leq(n0,X5)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| sP8(X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_237])]) ).
fof(f2631,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ leq(tptp_float_0_0,X4)
| ~ leq(tptp_float_0_0,X5)
| a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X4,X5) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X5,X4)
| ~ leq(X5,X2)
| ~ leq(X4,X2)
| sP8(X1,X3) )
| ~ spl40_45
| ~ spl40_237 ),
inference(forward_demodulation,[],[f2630,f683]) ).
fof(f2630,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ leq(tptp_float_0_0,X5)
| a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X4,X5) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X5,X4)
| ~ leq(X5,X2)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| sP8(X1,X3) )
| ~ spl40_45
| ~ spl40_237 ),
inference(forward_demodulation,[],[f2628,f683]) ).
fof(f2628,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X4,X5) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X5,X4)
| ~ leq(X5,X2)
| ~ leq(n0,X5)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| sP8(X1,X3) )
| ~ spl40_237 ),
inference(avatar_component_clause,[],[f2627]) ).
fof(f2635,plain,
( spl40_238
| ~ spl40_45
| ~ spl40_235 ),
inference(avatar_split_clause,[],[f2620,f2616,f681,f2633]) ).
fof(f2633,plain,
( spl40_238
<=> ! [X2,X4,X0,X3,X1] :
( ~ leq(tptp_float_0_0,X3)
| ~ leq(tptp_float_0_0,X4)
| a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X3,X4) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X4,X3)
| ~ leq(X4,X2)
| ~ leq(X3,X2)
| sP7(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_238])]) ).
fof(f2616,plain,
( spl40_235
<=> ! [X2,X4,X0,X3,X1] :
( a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X3,X4) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X4,X3)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| ~ leq(X3,X2)
| ~ leq(n0,X3)
| sP7(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_235])]) ).
fof(f2620,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ leq(tptp_float_0_0,X3)
| ~ leq(tptp_float_0_0,X4)
| a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X3,X4) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X4,X3)
| ~ leq(X4,X2)
| ~ leq(X3,X2)
| sP7(X1,X2) )
| ~ spl40_45
| ~ spl40_235 ),
inference(forward_demodulation,[],[f2619,f683]) ).
fof(f2619,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ leq(tptp_float_0_0,X4)
| a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X3,X4) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X4,X3)
| ~ leq(X4,X2)
| ~ leq(X3,X2)
| ~ leq(n0,X3)
| sP7(X1,X2) )
| ~ spl40_45
| ~ spl40_235 ),
inference(forward_demodulation,[],[f2617,f683]) ).
fof(f2617,plain,
( ! [X2,X3,X0,X1,X4] :
( a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X3,X4) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X4,X3)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| ~ leq(X3,X2)
| ~ leq(n0,X3)
| sP7(X1,X2) )
| ~ spl40_235 ),
inference(avatar_component_clause,[],[f2616]) ).
fof(f2629,plain,
spl40_237,
inference(avatar_split_clause,[],[f384,f2627]) ).
fof(f384,plain,
! [X2,X3,X0,X1,X4,X5] :
( a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X4,X5) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X5,X4)
| ~ leq(X5,X2)
| ~ leq(n0,X5)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| sP8(X1,X3) ),
inference(cnf_transformation,[],[f228]) ).
fof(f228,plain,
! [X0,X1,X2,X3] :
( ! [X4,X5] :
( a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X4,X5) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X5,X4)
| ~ leq(X5,X2)
| ~ leq(n0,X5)
| ~ leq(X4,X2)
| ~ leq(n0,X4) )
| sP8(X1,X3) ),
inference(rectify,[],[f177]) ).
fof(f177,plain,
! [X0,X1,X2,X3] :
( ! [X6,X7] :
( a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X6,X7) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X7,X6)
| ~ leq(X7,X2)
| ~ leq(n0,X7)
| ~ leq(X6,X2)
| ~ leq(n0,X6) )
| sP8(X1,X3) ),
inference(definition_folding,[],[f151,f176]) ).
fof(f176,plain,
! [X1,X3] :
( ? [X4,X5] :
( a_select3(X1,X4,X5) != a_select3(X1,X5,X4)
& leq(X5,X3)
& leq(n0,X5)
& leq(X4,X3)
& leq(n0,X4) )
| ~ sP8(X1,X3) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f151,plain,
! [X0,X1,X2,X3] :
( ! [X6,X7] :
( a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X6,X7) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X7,X6)
| ~ leq(X7,X2)
| ~ leq(n0,X7)
| ~ leq(X6,X2)
| ~ leq(n0,X6) )
| ? [X4,X5] :
( a_select3(X1,X4,X5) != a_select3(X1,X5,X4)
& leq(X5,X3)
& leq(n0,X5)
& leq(X4,X3)
& leq(n0,X4) ) ),
inference(flattening,[],[f150]) ).
fof(f150,plain,
! [X0,X1,X2,X3] :
( ! [X6,X7] :
( a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X6,X7) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X7,X6)
| ~ leq(X7,X2)
| ~ leq(n0,X7)
| ~ leq(X6,X2)
| ~ leq(n0,X6) )
| ? [X4,X5] :
( a_select3(X1,X4,X5) != a_select3(X1,X5,X4)
& leq(X5,X3)
& leq(n0,X5)
& leq(X4,X3)
& leq(n0,X4) ) ),
inference(ennf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0,X1,X2,X3] :
( ! [X4,X5] :
( ( leq(X5,X3)
& leq(n0,X5)
& leq(X4,X3)
& leq(n0,X4) )
=> a_select3(X1,X4,X5) = a_select3(X1,X5,X4) )
=> ! [X6,X7] :
( ( leq(X7,X2)
& leq(n0,X7)
& leq(X6,X2)
& leq(n0,X6) )
=> a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X6,X7) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X7,X6) ) ),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X13,X17,X14,X18] :
( ! [X4,X10] :
( ( leq(X10,X18)
& leq(n0,X10)
& leq(X4,X18)
& leq(n0,X4) )
=> a_select3(X17,X4,X10) = a_select3(X17,X10,X4) )
=> ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(tptp_mmul(X13,tptp_mmul(X17,trans(X13))),X4,X10) = a_select3(tptp_mmul(X13,tptp_mmul(X17,trans(X13))),X10,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',matrix_symm_aba2) ).
fof(f2625,plain,
( spl40_236
| ~ spl40_15
| ~ spl40_48 ),
inference(avatar_split_clause,[],[f735,f707,f528,f2622]) ).
fof(f2622,plain,
( spl40_236
<=> leq(n4,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_236])]) ).
fof(f735,plain,
( leq(n4,n5)
| ~ spl40_15
| ~ spl40_48 ),
inference(resolution,[],[f708,f530]) ).
fof(f2618,plain,
spl40_235,
inference(avatar_split_clause,[],[f373,f2616]) ).
fof(f373,plain,
! [X2,X3,X0,X1,X4] :
( a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X3,X4) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X4,X3)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| ~ leq(X3,X2)
| ~ leq(n0,X3)
| sP7(X1,X2) ),
inference(cnf_transformation,[],[f221]) ).
fof(f221,plain,
! [X0,X1,X2] :
( ! [X3,X4] :
( a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X3,X4) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X4,X3)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| ~ leq(X3,X2)
| ~ leq(n0,X3) )
| sP7(X1,X2) ),
inference(rectify,[],[f175]) ).
fof(f175,plain,
! [X0,X1,X2] :
( ! [X5,X6] :
( a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X5,X6) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X6,X5)
| ~ leq(X6,X2)
| ~ leq(n0,X6)
| ~ leq(X5,X2)
| ~ leq(n0,X5) )
| sP7(X1,X2) ),
inference(definition_folding,[],[f145,f174]) ).
fof(f174,plain,
! [X1,X2] :
( ? [X3,X4] :
( a_select3(X1,X3,X4) != a_select3(X1,X4,X3)
& leq(X4,X2)
& leq(n0,X4)
& leq(X3,X2)
& leq(n0,X3) )
| ~ sP7(X1,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f145,plain,
! [X0,X1,X2] :
( ! [X5,X6] :
( a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X5,X6) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X6,X5)
| ~ leq(X6,X2)
| ~ leq(n0,X6)
| ~ leq(X5,X2)
| ~ leq(n0,X5) )
| ? [X3,X4] :
( a_select3(X1,X3,X4) != a_select3(X1,X4,X3)
& leq(X4,X2)
& leq(n0,X4)
& leq(X3,X2)
& leq(n0,X3) ) ),
inference(flattening,[],[f144]) ).
fof(f144,plain,
! [X0,X1,X2] :
( ! [X5,X6] :
( a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X5,X6) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X6,X5)
| ~ leq(X6,X2)
| ~ leq(n0,X6)
| ~ leq(X5,X2)
| ~ leq(n0,X5) )
| ? [X3,X4] :
( a_select3(X1,X3,X4) != a_select3(X1,X4,X3)
& leq(X4,X2)
& leq(n0,X4)
& leq(X3,X2)
& leq(n0,X3) ) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0,X1,X2] :
( ! [X3,X4] :
( ( leq(X4,X2)
& leq(n0,X4)
& leq(X3,X2)
& leq(n0,X3) )
=> a_select3(X1,X3,X4) = a_select3(X1,X4,X3) )
=> ! [X5,X6] :
( ( leq(X6,X2)
& leq(n0,X6)
& leq(X5,X2)
& leq(n0,X5) )
=> a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X5,X6) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X6,X5) ) ),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X13,X17,X14] :
( ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(X17,X4,X10) = a_select3(X17,X10,X4) )
=> ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(tptp_mmul(X13,tptp_mmul(X17,trans(X13))),X4,X10) = a_select3(tptp_mmul(X13,tptp_mmul(X17,trans(X13))),X10,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',matrix_symm_aba1) ).
fof(f2554,plain,
( spl40_234
| ~ spl40_45
| ~ spl40_232 ),
inference(avatar_split_clause,[],[f2546,f2542,f681,f2552]) ).
fof(f2552,plain,
( spl40_234
<=> ! [X2,X4,X0,X3,X1] :
( ~ leq(tptp_float_0_0,X3)
| ~ leq(tptp_float_0_0,X4)
| a_select3(tptp_madd(X0,X1),X3,X4) = a_select3(tptp_madd(X0,X1),X4,X3)
| ~ leq(X4,X2)
| ~ leq(X3,X2)
| sP6(X1,X2)
| sP5(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_234])]) ).
fof(f2542,plain,
( spl40_232
<=> ! [X2,X4,X0,X3,X1] :
( a_select3(tptp_madd(X0,X1),X3,X4) = a_select3(tptp_madd(X0,X1),X4,X3)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| ~ leq(X3,X2)
| ~ leq(n0,X3)
| sP6(X1,X2)
| sP5(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_232])]) ).
fof(f2546,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ leq(tptp_float_0_0,X3)
| ~ leq(tptp_float_0_0,X4)
| a_select3(tptp_madd(X0,X1),X3,X4) = a_select3(tptp_madd(X0,X1),X4,X3)
| ~ leq(X4,X2)
| ~ leq(X3,X2)
| sP6(X1,X2)
| sP5(X0,X2) )
| ~ spl40_45
| ~ spl40_232 ),
inference(forward_demodulation,[],[f2545,f683]) ).
fof(f2545,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ leq(tptp_float_0_0,X4)
| a_select3(tptp_madd(X0,X1),X3,X4) = a_select3(tptp_madd(X0,X1),X4,X3)
| ~ leq(X4,X2)
| ~ leq(X3,X2)
| ~ leq(n0,X3)
| sP6(X1,X2)
| sP5(X0,X2) )
| ~ spl40_45
| ~ spl40_232 ),
inference(forward_demodulation,[],[f2543,f683]) ).
fof(f2543,plain,
( ! [X2,X3,X0,X1,X4] :
( a_select3(tptp_madd(X0,X1),X3,X4) = a_select3(tptp_madd(X0,X1),X4,X3)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| ~ leq(X3,X2)
| ~ leq(n0,X3)
| sP6(X1,X2)
| sP5(X0,X2) )
| ~ spl40_232 ),
inference(avatar_component_clause,[],[f2542]) ).
fof(f2550,plain,
( spl40_233
| ~ spl40_45
| ~ spl40_231 ),
inference(avatar_split_clause,[],[f2540,f2536,f681,f2548]) ).
fof(f2548,plain,
( spl40_233
<=> ! [X2,X4,X0,X3,X1] :
( ~ leq(tptp_float_0_0,X3)
| ~ leq(tptp_float_0_0,X4)
| a_select3(tptp_msub(X0,X1),X3,X4) = a_select3(tptp_msub(X0,X1),X4,X3)
| ~ leq(X4,X2)
| ~ leq(X3,X2)
| sP4(X1,X2)
| sP3(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_233])]) ).
fof(f2536,plain,
( spl40_231
<=> ! [X2,X4,X0,X3,X1] :
( a_select3(tptp_msub(X0,X1),X3,X4) = a_select3(tptp_msub(X0,X1),X4,X3)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| ~ leq(X3,X2)
| ~ leq(n0,X3)
| sP4(X1,X2)
| sP3(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_231])]) ).
fof(f2540,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ leq(tptp_float_0_0,X3)
| ~ leq(tptp_float_0_0,X4)
| a_select3(tptp_msub(X0,X1),X3,X4) = a_select3(tptp_msub(X0,X1),X4,X3)
| ~ leq(X4,X2)
| ~ leq(X3,X2)
| sP4(X1,X2)
| sP3(X0,X2) )
| ~ spl40_45
| ~ spl40_231 ),
inference(forward_demodulation,[],[f2539,f683]) ).
fof(f2539,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ leq(tptp_float_0_0,X4)
| a_select3(tptp_msub(X0,X1),X3,X4) = a_select3(tptp_msub(X0,X1),X4,X3)
| ~ leq(X4,X2)
| ~ leq(X3,X2)
| ~ leq(n0,X3)
| sP4(X1,X2)
| sP3(X0,X2) )
| ~ spl40_45
| ~ spl40_231 ),
inference(forward_demodulation,[],[f2537,f683]) ).
fof(f2537,plain,
( ! [X2,X3,X0,X1,X4] :
( a_select3(tptp_msub(X0,X1),X3,X4) = a_select3(tptp_msub(X0,X1),X4,X3)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| ~ leq(X3,X2)
| ~ leq(n0,X3)
| sP4(X1,X2)
| sP3(X0,X2) )
| ~ spl40_231 ),
inference(avatar_component_clause,[],[f2536]) ).
fof(f2544,plain,
spl40_232,
inference(avatar_split_clause,[],[f367,f2542]) ).
fof(f367,plain,
! [X2,X3,X0,X1,X4] :
( a_select3(tptp_madd(X0,X1),X3,X4) = a_select3(tptp_madd(X0,X1),X4,X3)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| ~ leq(X3,X2)
| ~ leq(n0,X3)
| sP6(X1,X2)
| sP5(X0,X2) ),
inference(cnf_transformation,[],[f216]) ).
fof(f216,plain,
! [X0,X1,X2] :
( ! [X3,X4] :
( a_select3(tptp_madd(X0,X1),X3,X4) = a_select3(tptp_madd(X0,X1),X4,X3)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| ~ leq(X3,X2)
| ~ leq(n0,X3) )
| sP6(X1,X2)
| sP5(X0,X2) ),
inference(rectify,[],[f173]) ).
fof(f173,plain,
! [X0,X1,X2] :
( ! [X7,X8] :
( a_select3(tptp_madd(X0,X1),X7,X8) = a_select3(tptp_madd(X0,X1),X8,X7)
| ~ leq(X8,X2)
| ~ leq(n0,X8)
| ~ leq(X7,X2)
| ~ leq(n0,X7) )
| sP6(X1,X2)
| sP5(X0,X2) ),
inference(definition_folding,[],[f143,f172,f171]) ).
fof(f171,plain,
! [X0,X2] :
( ? [X5,X6] :
( a_select3(X0,X5,X6) != a_select3(X0,X6,X5)
& leq(X6,X2)
& leq(n0,X6)
& leq(X5,X2)
& leq(n0,X5) )
| ~ sP5(X0,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f172,plain,
! [X1,X2] :
( ? [X3,X4] :
( a_select3(X1,X3,X4) != a_select3(X1,X4,X3)
& leq(X4,X2)
& leq(n0,X4)
& leq(X3,X2)
& leq(n0,X3) )
| ~ sP6(X1,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f143,plain,
! [X0,X1,X2] :
( ! [X7,X8] :
( a_select3(tptp_madd(X0,X1),X7,X8) = a_select3(tptp_madd(X0,X1),X8,X7)
| ~ leq(X8,X2)
| ~ leq(n0,X8)
| ~ leq(X7,X2)
| ~ leq(n0,X7) )
| ? [X3,X4] :
( a_select3(X1,X3,X4) != a_select3(X1,X4,X3)
& leq(X4,X2)
& leq(n0,X4)
& leq(X3,X2)
& leq(n0,X3) )
| ? [X5,X6] :
( a_select3(X0,X5,X6) != a_select3(X0,X6,X5)
& leq(X6,X2)
& leq(n0,X6)
& leq(X5,X2)
& leq(n0,X5) ) ),
inference(flattening,[],[f142]) ).
fof(f142,plain,
! [X0,X1,X2] :
( ! [X7,X8] :
( a_select3(tptp_madd(X0,X1),X7,X8) = a_select3(tptp_madd(X0,X1),X8,X7)
| ~ leq(X8,X2)
| ~ leq(n0,X8)
| ~ leq(X7,X2)
| ~ leq(n0,X7) )
| ? [X3,X4] :
( a_select3(X1,X3,X4) != a_select3(X1,X4,X3)
& leq(X4,X2)
& leq(n0,X4)
& leq(X3,X2)
& leq(n0,X3) )
| ? [X5,X6] :
( a_select3(X0,X5,X6) != a_select3(X0,X6,X5)
& leq(X6,X2)
& leq(n0,X6)
& leq(X5,X2)
& leq(n0,X5) ) ),
inference(ennf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0,X1,X2] :
( ( ! [X3,X4] :
( ( leq(X4,X2)
& leq(n0,X4)
& leq(X3,X2)
& leq(n0,X3) )
=> a_select3(X1,X3,X4) = a_select3(X1,X4,X3) )
& ! [X5,X6] :
( ( leq(X6,X2)
& leq(n0,X6)
& leq(X5,X2)
& leq(n0,X5) )
=> a_select3(X0,X5,X6) = a_select3(X0,X6,X5) ) )
=> ! [X7,X8] :
( ( leq(X8,X2)
& leq(n0,X8)
& leq(X7,X2)
& leq(n0,X7) )
=> a_select3(tptp_madd(X0,X1),X7,X8) = a_select3(tptp_madd(X0,X1),X8,X7) ) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X13,X17,X14] :
( ( ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(X17,X4,X10) = a_select3(X17,X10,X4) )
& ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(X13,X4,X10) = a_select3(X13,X10,X4) ) )
=> ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(tptp_madd(X13,X17),X4,X10) = a_select3(tptp_madd(X13,X17),X10,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',matrix_symm_add) ).
fof(f2538,plain,
spl40_231,
inference(avatar_split_clause,[],[f356,f2536]) ).
fof(f356,plain,
! [X2,X3,X0,X1,X4] :
( a_select3(tptp_msub(X0,X1),X3,X4) = a_select3(tptp_msub(X0,X1),X4,X3)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| ~ leq(X3,X2)
| ~ leq(n0,X3)
| sP4(X1,X2)
| sP3(X0,X2) ),
inference(cnf_transformation,[],[f207]) ).
fof(f207,plain,
! [X0,X1,X2] :
( ! [X3,X4] :
( a_select3(tptp_msub(X0,X1),X3,X4) = a_select3(tptp_msub(X0,X1),X4,X3)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| ~ leq(X3,X2)
| ~ leq(n0,X3) )
| sP4(X1,X2)
| sP3(X0,X2) ),
inference(rectify,[],[f170]) ).
fof(f170,plain,
! [X0,X1,X2] :
( ! [X7,X8] :
( a_select3(tptp_msub(X0,X1),X7,X8) = a_select3(tptp_msub(X0,X1),X8,X7)
| ~ leq(X8,X2)
| ~ leq(n0,X8)
| ~ leq(X7,X2)
| ~ leq(n0,X7) )
| sP4(X1,X2)
| sP3(X0,X2) ),
inference(definition_folding,[],[f141,f169,f168]) ).
fof(f168,plain,
! [X0,X2] :
( ? [X5,X6] :
( a_select3(X0,X5,X6) != a_select3(X0,X6,X5)
& leq(X6,X2)
& leq(n0,X6)
& leq(X5,X2)
& leq(n0,X5) )
| ~ sP3(X0,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f169,plain,
! [X1,X2] :
( ? [X3,X4] :
( a_select3(X1,X3,X4) != a_select3(X1,X4,X3)
& leq(X4,X2)
& leq(n0,X4)
& leq(X3,X2)
& leq(n0,X3) )
| ~ sP4(X1,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f141,plain,
! [X0,X1,X2] :
( ! [X7,X8] :
( a_select3(tptp_msub(X0,X1),X7,X8) = a_select3(tptp_msub(X0,X1),X8,X7)
| ~ leq(X8,X2)
| ~ leq(n0,X8)
| ~ leq(X7,X2)
| ~ leq(n0,X7) )
| ? [X3,X4] :
( a_select3(X1,X3,X4) != a_select3(X1,X4,X3)
& leq(X4,X2)
& leq(n0,X4)
& leq(X3,X2)
& leq(n0,X3) )
| ? [X5,X6] :
( a_select3(X0,X5,X6) != a_select3(X0,X6,X5)
& leq(X6,X2)
& leq(n0,X6)
& leq(X5,X2)
& leq(n0,X5) ) ),
inference(flattening,[],[f140]) ).
fof(f140,plain,
! [X0,X1,X2] :
( ! [X7,X8] :
( a_select3(tptp_msub(X0,X1),X7,X8) = a_select3(tptp_msub(X0,X1),X8,X7)
| ~ leq(X8,X2)
| ~ leq(n0,X8)
| ~ leq(X7,X2)
| ~ leq(n0,X7) )
| ? [X3,X4] :
( a_select3(X1,X3,X4) != a_select3(X1,X4,X3)
& leq(X4,X2)
& leq(n0,X4)
& leq(X3,X2)
& leq(n0,X3) )
| ? [X5,X6] :
( a_select3(X0,X5,X6) != a_select3(X0,X6,X5)
& leq(X6,X2)
& leq(n0,X6)
& leq(X5,X2)
& leq(n0,X5) ) ),
inference(ennf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0,X1,X2] :
( ( ! [X3,X4] :
( ( leq(X4,X2)
& leq(n0,X4)
& leq(X3,X2)
& leq(n0,X3) )
=> a_select3(X1,X3,X4) = a_select3(X1,X4,X3) )
& ! [X5,X6] :
( ( leq(X6,X2)
& leq(n0,X6)
& leq(X5,X2)
& leq(n0,X5) )
=> a_select3(X0,X5,X6) = a_select3(X0,X6,X5) ) )
=> ! [X7,X8] :
( ( leq(X8,X2)
& leq(n0,X8)
& leq(X7,X2)
& leq(n0,X7) )
=> a_select3(tptp_msub(X0,X1),X7,X8) = a_select3(tptp_msub(X0,X1),X8,X7) ) ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X13,X17,X14] :
( ( ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(X17,X4,X10) = a_select3(X17,X10,X4) )
& ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(X13,X4,X10) = a_select3(X13,X10,X4) ) )
=> ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(tptp_msub(X13,X17),X4,X10) = a_select3(tptp_msub(X13,X17),X10,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',matrix_symm_sub) ).
fof(f2504,plain,
( spl40_230
| ~ spl40_45
| ~ spl40_229 ),
inference(avatar_split_clause,[],[f2500,f2496,f681,f2502]) ).
fof(f2502,plain,
( spl40_230
<=> ! [X2,X3,X4,X0,X5,X1] :
( ~ leq(tptp_float_0_0,X0)
| ~ leq(tptp_float_0_0,X1)
| a_select3(tptp_update3(X4,X2,X3,X5),X0,X1) = X5
| ~ leq(X1,X3)
| ~ leq(X0,X2)
| sP9(X5,X4,X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_230])]) ).
fof(f2496,plain,
( spl40_229
<=> ! [X2,X3,X4,X0,X5,X1] :
( a_select3(tptp_update3(X4,X2,X3,X5),X0,X1) = X5
| ~ leq(X1,X3)
| ~ leq(n0,X1)
| ~ leq(X0,X2)
| ~ leq(n0,X0)
| sP9(X5,X4,X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_229])]) ).
fof(f2500,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ leq(tptp_float_0_0,X0)
| ~ leq(tptp_float_0_0,X1)
| a_select3(tptp_update3(X4,X2,X3,X5),X0,X1) = X5
| ~ leq(X1,X3)
| ~ leq(X0,X2)
| sP9(X5,X4,X3,X2) )
| ~ spl40_45
| ~ spl40_229 ),
inference(forward_demodulation,[],[f2499,f683]) ).
fof(f2499,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ leq(tptp_float_0_0,X1)
| a_select3(tptp_update3(X4,X2,X3,X5),X0,X1) = X5
| ~ leq(X1,X3)
| ~ leq(X0,X2)
| ~ leq(n0,X0)
| sP9(X5,X4,X3,X2) )
| ~ spl40_45
| ~ spl40_229 ),
inference(forward_demodulation,[],[f2497,f683]) ).
fof(f2497,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( a_select3(tptp_update3(X4,X2,X3,X5),X0,X1) = X5
| ~ leq(X1,X3)
| ~ leq(n0,X1)
| ~ leq(X0,X2)
| ~ leq(n0,X0)
| sP9(X5,X4,X3,X2) )
| ~ spl40_229 ),
inference(avatar_component_clause,[],[f2496]) ).
fof(f2498,plain,
spl40_229,
inference(avatar_split_clause,[],[f391,f2496]) ).
fof(f391,plain,
! [X2,X3,X0,X1,X4,X5] :
( a_select3(tptp_update3(X4,X2,X3,X5),X0,X1) = X5
| ~ leq(X1,X3)
| ~ leq(n0,X1)
| ~ leq(X0,X2)
| ~ leq(n0,X0)
| sP9(X5,X4,X3,X2) ),
inference(cnf_transformation,[],[f179]) ).
fof(f179,plain,
! [X0,X1,X2,X3,X4,X5] :
( a_select3(tptp_update3(X4,X2,X3,X5),X0,X1) = X5
| ~ leq(X1,X3)
| ~ leq(n0,X1)
| ~ leq(X0,X2)
| ~ leq(n0,X0)
| sP9(X5,X4,X3,X2) ),
inference(definition_folding,[],[f155,f178]) ).
fof(f178,plain,
! [X5,X4,X3,X2] :
( ? [X6,X7] :
( a_select3(X4,X6,X7) != X5
& leq(X7,X3)
& leq(X6,X2)
& leq(n0,X7)
& leq(n0,X6) )
| ~ sP9(X5,X4,X3,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f155,plain,
! [X0,X1,X2,X3,X4,X5] :
( a_select3(tptp_update3(X4,X2,X3,X5),X0,X1) = X5
| ~ leq(X1,X3)
| ~ leq(n0,X1)
| ~ leq(X0,X2)
| ~ leq(n0,X0)
| ? [X6,X7] :
( a_select3(X4,X6,X7) != X5
& leq(X7,X3)
& leq(X6,X2)
& leq(n0,X7)
& leq(n0,X6) ) ),
inference(flattening,[],[f154]) ).
fof(f154,plain,
! [X0,X1,X2,X3,X4,X5] :
( a_select3(tptp_update3(X4,X2,X3,X5),X0,X1) = X5
| ~ leq(X1,X3)
| ~ leq(n0,X1)
| ~ leq(X0,X2)
| ~ leq(n0,X0)
| ? [X6,X7] :
( a_select3(X4,X6,X7) != X5
& leq(X7,X3)
& leq(X6,X2)
& leq(n0,X7)
& leq(n0,X6) ) ),
inference(ennf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( leq(X1,X3)
& leq(n0,X1)
& leq(X0,X2)
& leq(n0,X0)
& ! [X6,X7] :
( ( leq(X7,X3)
& leq(X6,X2)
& leq(n0,X7)
& leq(n0,X6) )
=> a_select3(X4,X6,X7) = X5 ) )
=> a_select3(tptp_update3(X4,X2,X3,X5),X0,X1) = X5 ),
inference(rectify,[],[f47]) ).
fof(f47,axiom,
! [X4,X10,X6,X23,X0,X16] :
( ( leq(X10,X23)
& leq(n0,X10)
& leq(X4,X6)
& leq(n0,X4)
& ! [X25,X26] :
( ( leq(X26,X23)
& leq(X25,X6)
& leq(n0,X26)
& leq(n0,X25) )
=> a_select3(X0,X25,X26) = X16 ) )
=> a_select3(tptp_update3(X0,X6,X23,X16),X4,X10) = X16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sel3_update_3) ).
fof(f2494,plain,
( spl40_228
| ~ spl40_16
| ~ spl40_48 ),
inference(avatar_split_clause,[],[f734,f707,f533,f2491]) ).
fof(f2491,plain,
( spl40_228
<=> leq(n3,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_228])]) ).
fof(f734,plain,
( leq(n3,n5)
| ~ spl40_16
| ~ spl40_48 ),
inference(resolution,[],[f708,f535]) ).
fof(f2487,plain,
( ~ spl40_69
| spl40_225 ),
inference(avatar_contradiction_clause,[],[f2486]) ).
fof(f2486,plain,
( $false
| ~ spl40_69
| spl40_225 ),
inference(trivial_inequality_removal,[],[f2484]) ).
fof(f2484,plain,
( use != use
| ~ spl40_69
| spl40_225 ),
inference(superposition,[],[f2472,f848]) ).
fof(f2472,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,tptp_float_0_0,use),n1,use),n2,use),n2)
| spl40_225 ),
inference(avatar_component_clause,[],[f2470]) ).
fof(f2470,plain,
( spl40_225
<=> use = a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,tptp_float_0_0,use),n1,use),n2,use),n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_225])]) ).
fof(f2483,plain,
( ~ spl40_227
| ~ spl40_45
| spl40_222 ),
inference(avatar_split_clause,[],[f2468,f2454,f681,f2480]) ).
fof(f2468,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,tptp_float_0_0,use),n1,use),n2,use),tptp_float_0_0)
| ~ spl40_45
| spl40_222 ),
inference(forward_demodulation,[],[f2456,f683]) ).
fof(f2478,plain,
( ~ spl40_226
| ~ spl40_45
| spl40_223 ),
inference(avatar_split_clause,[],[f2467,f2458,f681,f2475]) ).
fof(f2458,plain,
( spl40_223
<=> use = a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_223])]) ).
fof(f2467,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,tptp_float_0_0,use),n1,use),n2,use),n1)
| ~ spl40_45
| spl40_223 ),
inference(forward_demodulation,[],[f2460,f683]) ).
fof(f2460,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n1)
| spl40_223 ),
inference(avatar_component_clause,[],[f2458]) ).
fof(f2473,plain,
( ~ spl40_225
| ~ spl40_45
| spl40_224 ),
inference(avatar_split_clause,[],[f2466,f2462,f681,f2470]) ).
fof(f2462,plain,
( spl40_224
<=> use = a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_224])]) ).
fof(f2466,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,tptp_float_0_0,use),n1,use),n2,use),n2)
| ~ spl40_45
| spl40_224 ),
inference(forward_demodulation,[],[f2464,f683]) ).
fof(f2464,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n2)
| spl40_224 ),
inference(avatar_component_clause,[],[f2462]) ).
fof(f2465,plain,
( ~ spl40_1
| ~ spl40_2
| ~ spl40_3
| ~ spl40_4
| ~ spl40_5
| ~ spl40_6
| ~ spl40_10
| ~ spl40_11
| ~ spl40_12
| ~ spl40_7
| ~ spl40_8
| ~ spl40_9
| ~ spl40_222
| ~ spl40_223
| ~ spl40_224 ),
inference(avatar_split_clause,[],[f258,f2462,f2458,f2454,f498,f493,f488,f513,f508,f503,f483,f478,f473,f468,f463,f458]) ).
fof(f458,plain,
( spl40_1
<=> use = a_select2(sigma_defuse,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_1])]) ).
fof(f463,plain,
( spl40_2
<=> use = a_select2(sigma_defuse,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_2])]) ).
fof(f468,plain,
( spl40_3
<=> use = a_select2(sigma_defuse,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_3])]) ).
fof(f473,plain,
( spl40_4
<=> use = a_select2(sigma_defuse,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_4])]) ).
fof(f478,plain,
( spl40_5
<=> use = a_select2(sigma_defuse,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_5])]) ).
fof(f483,plain,
( spl40_6
<=> use = a_select2(sigma_defuse,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_6])]) ).
fof(f503,plain,
( spl40_10
<=> use = a_select3(u_defuse,n0,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_10])]) ).
fof(f508,plain,
( spl40_11
<=> use = a_select3(u_defuse,n1,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_11])]) ).
fof(f513,plain,
( spl40_12
<=> use = a_select3(u_defuse,n2,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_12])]) ).
fof(f488,plain,
( spl40_7
<=> use = a_select2(xinit_defuse,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_7])]) ).
fof(f493,plain,
( spl40_8
<=> use = a_select2(xinit_defuse,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_8])]) ).
fof(f498,plain,
( spl40_9
<=> use = a_select2(xinit_defuse,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_9])]) ).
fof(f258,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n2)
| use != a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n1)
| use != a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n0)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n3)
| use != a_select3(u_defuse,n2,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n0,n0)
| use != a_select2(sigma_defuse,n5)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(sigma_defuse,n2)
| use != a_select2(sigma_defuse,n1)
| use != a_select2(sigma_defuse,n0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
( ( use != a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n2)
| use != a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n1)
| use != a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n0)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n3)
| use != a_select3(u_defuse,n2,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n0,n0)
| use != a_select2(sigma_defuse,n5)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(sigma_defuse,n2)
| use != a_select2(sigma_defuse,n1)
| use != a_select2(sigma_defuse,n0) )
& use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_defuse,n3)
& use = a_select3(u_defuse,n2,n0)
& use = a_select3(u_defuse,n1,n0)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(sigma_defuse,n0) ),
inference(flattening,[],[f108]) ).
fof(f108,plain,
( ( use != a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n2)
| use != a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n1)
| use != a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n0)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n3)
| use != a_select3(u_defuse,n2,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n0,n0)
| use != a_select2(sigma_defuse,n5)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(sigma_defuse,n2)
| use != a_select2(sigma_defuse,n1)
| use != a_select2(sigma_defuse,n0) )
& use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_defuse,n3)
& use = a_select3(u_defuse,n2,n0)
& use = a_select3(u_defuse,n1,n0)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(sigma_defuse,n0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_defuse,n3)
& use = a_select3(u_defuse,n2,n0)
& use = a_select3(u_defuse,n1,n0)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(sigma_defuse,n0) )
=> ( use = a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n2)
& use = a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n1)
& use = a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n0)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_defuse,n3)
& use = a_select3(u_defuse,n2,n0)
& use = a_select3(u_defuse,n1,n0)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(sigma_defuse,n0) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_defuse,n3)
& use = a_select3(u_defuse,n2,n0)
& use = a_select3(u_defuse,n1,n0)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(sigma_defuse,n0) )
=> ( use = a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n2)
& use = a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n1)
& use = a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n0)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_defuse,n3)
& use = a_select3(u_defuse,n2,n0)
& use = a_select3(u_defuse,n1,n0)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(sigma_defuse,n0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_inuse_0014) ).
fof(f2392,plain,
( spl40_221
| ~ spl40_45
| ~ spl40_218 ),
inference(avatar_split_clause,[],[f2379,f2375,f681,f2390]) ).
fof(f2390,plain,
( spl40_221
<=> ! [X0,X3,X2,X1] :
( ~ leq(tptp_float_0_0,X2)
| ~ leq(tptp_float_0_0,X3)
| a_select3(trans(X0),X2,X3) = a_select3(trans(X0),X3,X2)
| ~ leq(X3,X1)
| ~ leq(X2,X1)
| sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_221])]) ).
fof(f2375,plain,
( spl40_218
<=> ! [X0,X3,X2,X1] :
( a_select3(trans(X0),X2,X3) = a_select3(trans(X0),X3,X2)
| ~ leq(X3,X1)
| ~ leq(n0,X3)
| ~ leq(X2,X1)
| ~ leq(n0,X2)
| sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_218])]) ).
fof(f2379,plain,
( ! [X2,X3,X0,X1] :
( ~ leq(tptp_float_0_0,X2)
| ~ leq(tptp_float_0_0,X3)
| a_select3(trans(X0),X2,X3) = a_select3(trans(X0),X3,X2)
| ~ leq(X3,X1)
| ~ leq(X2,X1)
| sP1(X0,X1) )
| ~ spl40_45
| ~ spl40_218 ),
inference(forward_demodulation,[],[f2378,f683]) ).
fof(f2378,plain,
( ! [X2,X3,X0,X1] :
( ~ leq(tptp_float_0_0,X3)
| a_select3(trans(X0),X2,X3) = a_select3(trans(X0),X3,X2)
| ~ leq(X3,X1)
| ~ leq(X2,X1)
| ~ leq(n0,X2)
| sP1(X0,X1) )
| ~ spl40_45
| ~ spl40_218 ),
inference(forward_demodulation,[],[f2376,f683]) ).
fof(f2376,plain,
( ! [X2,X3,X0,X1] :
( a_select3(trans(X0),X2,X3) = a_select3(trans(X0),X3,X2)
| ~ leq(X3,X1)
| ~ leq(n0,X3)
| ~ leq(X2,X1)
| ~ leq(n0,X2)
| sP1(X0,X1) )
| ~ spl40_218 ),
inference(avatar_component_clause,[],[f2375]) ).
fof(f2388,plain,
( spl40_220
| ~ spl40_17
| ~ spl40_48 ),
inference(avatar_split_clause,[],[f733,f707,f538,f2385]) ).
fof(f2385,plain,
( spl40_220
<=> leq(n2,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_220])]) ).
fof(f733,plain,
( leq(n2,n5)
| ~ spl40_17
| ~ spl40_48 ),
inference(resolution,[],[f708,f540]) ).
fof(f2383,plain,
( spl40_219
| ~ spl40_45
| ~ spl40_217 ),
inference(avatar_split_clause,[],[f2373,f2369,f681,f2381]) ).
fof(f2381,plain,
( spl40_219
<=> ! [X0,X3,X2,X1] :
( ~ leq(tptp_float_0_0,X2)
| ~ leq(tptp_float_0_0,X3)
| a_select3(inv(X0),X2,X3) = a_select3(inv(X0),X3,X2)
| ~ leq(X3,X1)
| ~ leq(X2,X1)
| sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_219])]) ).
fof(f2369,plain,
( spl40_217
<=> ! [X0,X3,X2,X1] :
( a_select3(inv(X0),X2,X3) = a_select3(inv(X0),X3,X2)
| ~ leq(X3,X1)
| ~ leq(n0,X3)
| ~ leq(X2,X1)
| ~ leq(n0,X2)
| sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_217])]) ).
fof(f2373,plain,
( ! [X2,X3,X0,X1] :
( ~ leq(tptp_float_0_0,X2)
| ~ leq(tptp_float_0_0,X3)
| a_select3(inv(X0),X2,X3) = a_select3(inv(X0),X3,X2)
| ~ leq(X3,X1)
| ~ leq(X2,X1)
| sP0(X0,X1) )
| ~ spl40_45
| ~ spl40_217 ),
inference(forward_demodulation,[],[f2372,f683]) ).
fof(f2372,plain,
( ! [X2,X3,X0,X1] :
( ~ leq(tptp_float_0_0,X3)
| a_select3(inv(X0),X2,X3) = a_select3(inv(X0),X3,X2)
| ~ leq(X3,X1)
| ~ leq(X2,X1)
| ~ leq(n0,X2)
| sP0(X0,X1) )
| ~ spl40_45
| ~ spl40_217 ),
inference(forward_demodulation,[],[f2370,f683]) ).
fof(f2370,plain,
( ! [X2,X3,X0,X1] :
( a_select3(inv(X0),X2,X3) = a_select3(inv(X0),X3,X2)
| ~ leq(X3,X1)
| ~ leq(n0,X3)
| ~ leq(X2,X1)
| ~ leq(n0,X2)
| sP0(X0,X1) )
| ~ spl40_217 ),
inference(avatar_component_clause,[],[f2369]) ).
fof(f2377,plain,
spl40_218,
inference(avatar_split_clause,[],[f330,f2375]) ).
fof(f330,plain,
! [X2,X3,X0,X1] :
( a_select3(trans(X0),X2,X3) = a_select3(trans(X0),X3,X2)
| ~ leq(X3,X1)
| ~ leq(n0,X3)
| ~ leq(X2,X1)
| ~ leq(n0,X2)
| sP1(X0,X1) ),
inference(cnf_transformation,[],[f191]) ).
fof(f191,plain,
! [X0,X1] :
( ! [X2,X3] :
( a_select3(trans(X0),X2,X3) = a_select3(trans(X0),X3,X2)
| ~ leq(X3,X1)
| ~ leq(n0,X3)
| ~ leq(X2,X1)
| ~ leq(n0,X2) )
| sP1(X0,X1) ),
inference(rectify,[],[f165]) ).
fof(f165,plain,
! [X0,X1] :
( ! [X4,X5] :
( a_select3(trans(X0),X4,X5) = a_select3(trans(X0),X5,X4)
| ~ leq(X5,X1)
| ~ leq(n0,X5)
| ~ leq(X4,X1)
| ~ leq(n0,X4) )
| sP1(X0,X1) ),
inference(definition_folding,[],[f133,f164]) ).
fof(f164,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP1(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f133,plain,
! [X0,X1] :
( ! [X4,X5] :
( a_select3(trans(X0),X4,X5) = a_select3(trans(X0),X5,X4)
| ~ leq(X5,X1)
| ~ leq(n0,X5)
| ~ leq(X4,X1)
| ~ leq(n0,X4) )
| ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) ) ),
inference(flattening,[],[f132]) ).
fof(f132,plain,
! [X0,X1] :
( ! [X4,X5] :
( a_select3(trans(X0),X4,X5) = a_select3(trans(X0),X5,X4)
| ~ leq(X5,X1)
| ~ leq(n0,X5)
| ~ leq(X4,X1)
| ~ leq(n0,X4) )
| ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) ) ),
inference(ennf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0,X1] :
( ! [X2,X3] :
( ( leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> a_select3(X0,X2,X3) = a_select3(X0,X3,X2) )
=> ! [X4,X5] :
( ( leq(X5,X1)
& leq(n0,X5)
& leq(X4,X1)
& leq(n0,X4) )
=> a_select3(trans(X0),X4,X5) = a_select3(trans(X0),X5,X4) ) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X13,X14] :
( ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(X13,X4,X10) = a_select3(X13,X10,X4) )
=> ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(trans(X13),X4,X10) = a_select3(trans(X13),X10,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',matrix_symm_trans) ).
fof(f2371,plain,
spl40_217,
inference(avatar_split_clause,[],[f324,f2369]) ).
fof(f324,plain,
! [X2,X3,X0,X1] :
( a_select3(inv(X0),X2,X3) = a_select3(inv(X0),X3,X2)
| ~ leq(X3,X1)
| ~ leq(n0,X3)
| ~ leq(X2,X1)
| ~ leq(n0,X2)
| sP0(X0,X1) ),
inference(cnf_transformation,[],[f187]) ).
fof(f187,plain,
! [X0,X1] :
( ! [X2,X3] :
( a_select3(inv(X0),X2,X3) = a_select3(inv(X0),X3,X2)
| ~ leq(X3,X1)
| ~ leq(n0,X3)
| ~ leq(X2,X1)
| ~ leq(n0,X2) )
| sP0(X0,X1) ),
inference(rectify,[],[f163]) ).
fof(f163,plain,
! [X0,X1] :
( ! [X4,X5] :
( a_select3(inv(X0),X4,X5) = a_select3(inv(X0),X5,X4)
| ~ leq(X5,X1)
| ~ leq(n0,X5)
| ~ leq(X4,X1)
| ~ leq(n0,X4) )
| sP0(X0,X1) ),
inference(definition_folding,[],[f131,f162]) ).
fof(f162,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP0(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f131,plain,
! [X0,X1] :
( ! [X4,X5] :
( a_select3(inv(X0),X4,X5) = a_select3(inv(X0),X5,X4)
| ~ leq(X5,X1)
| ~ leq(n0,X5)
| ~ leq(X4,X1)
| ~ leq(n0,X4) )
| ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) ) ),
inference(flattening,[],[f130]) ).
fof(f130,plain,
! [X0,X1] :
( ! [X4,X5] :
( a_select3(inv(X0),X4,X5) = a_select3(inv(X0),X5,X4)
| ~ leq(X5,X1)
| ~ leq(n0,X5)
| ~ leq(X4,X1)
| ~ leq(n0,X4) )
| ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) ) ),
inference(ennf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0,X1] :
( ! [X2,X3] :
( ( leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> a_select3(X0,X2,X3) = a_select3(X0,X3,X2) )
=> ! [X4,X5] :
( ( leq(X5,X1)
& leq(n0,X5)
& leq(X4,X1)
& leq(n0,X4) )
=> a_select3(inv(X0),X4,X5) = a_select3(inv(X0),X5,X4) ) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X13,X14] :
( ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(X13,X4,X10) = a_select3(X13,X10,X4) )
=> ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(inv(X13),X4,X10) = a_select3(inv(X13),X10,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',matrix_symm_inv) ).
fof(f2309,plain,
spl40_216,
inference(avatar_split_clause,[],[f393,f2307]) ).
fof(f2307,plain,
( spl40_216
<=> ! [X5,X4,X2,X0,X6,X3,X1] :
( a_select3(tptp_const_array2(dim(X1,X2),dim(X4,X5),X6),X0,X3) = X6
| ~ leq(X3,X5)
| ~ leq(X4,X3)
| ~ leq(X0,X2)
| ~ leq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_216])]) ).
fof(f393,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( a_select3(tptp_const_array2(dim(X1,X2),dim(X4,X5),X6),X0,X3) = X6
| ~ leq(X3,X5)
| ~ leq(X4,X3)
| ~ leq(X0,X2)
| ~ leq(X1,X0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f159,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( a_select3(tptp_const_array2(dim(X1,X2),dim(X4,X5),X6),X0,X3) = X6
| ~ leq(X3,X5)
| ~ leq(X4,X3)
| ~ leq(X0,X2)
| ~ leq(X1,X0) ),
inference(flattening,[],[f158]) ).
fof(f158,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( a_select3(tptp_const_array2(dim(X1,X2),dim(X4,X5),X6),X0,X3) = X6
| ~ leq(X3,X5)
| ~ leq(X4,X3)
| ~ leq(X0,X2)
| ~ leq(X1,X0) ),
inference(ennf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( leq(X3,X5)
& leq(X4,X3)
& leq(X0,X2)
& leq(X1,X0) )
=> a_select3(tptp_const_array2(dim(X1,X2),dim(X4,X5),X6),X0,X3) = X6 ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X4,X8,X9,X10,X11,X12,X7] :
( ( leq(X10,X12)
& leq(X11,X10)
& leq(X4,X9)
& leq(X8,X4) )
=> a_select3(tptp_const_array2(dim(X8,X9),dim(X11,X12),X7),X4,X10) = X7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',const_array2_select) ).
fof(f2275,plain,
( spl40_215
| ~ spl40_45
| ~ spl40_214 ),
inference(avatar_split_clause,[],[f2271,f2267,f681,f2273]) ).
fof(f2273,plain,
( spl40_215
<=> ! [X0] :
( ~ leq(tptp_float_0_0,X0)
| tptp_float_0_0 = X0
| n5 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| ~ leq(X0,n5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_215])]) ).
fof(f2267,plain,
( spl40_214
<=> ! [X0] :
( n5 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n5)
| ~ leq(n0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_214])]) ).
fof(f2271,plain,
( ! [X0] :
( ~ leq(tptp_float_0_0,X0)
| tptp_float_0_0 = X0
| n5 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| ~ leq(X0,n5) )
| ~ spl40_45
| ~ spl40_214 ),
inference(forward_demodulation,[],[f2270,f683]) ).
fof(f2270,plain,
( ! [X0] :
( tptp_float_0_0 = X0
| n5 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| ~ leq(X0,n5)
| ~ leq(n0,X0) )
| ~ spl40_45
| ~ spl40_214 ),
inference(forward_demodulation,[],[f2268,f683]) ).
fof(f2268,plain,
( ! [X0] :
( n5 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n5)
| ~ leq(n0,X0) )
| ~ spl40_214 ),
inference(avatar_component_clause,[],[f2267]) ).
fof(f2269,plain,
spl40_214,
inference(avatar_split_clause,[],[f305,f2267]) ).
fof(f305,plain,
! [X0] :
( n5 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n5)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0] :
( n5 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n5)
| ~ leq(n0,X0) ),
inference(flattening,[],[f110]) ).
fof(f110,plain,
! [X0] :
( n5 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n5)
| ~ leq(n0,X0) ),
inference(ennf_transformation,[],[f77]) ).
fof(f77,axiom,
! [X0] :
( ( leq(X0,n5)
& leq(n0,X0) )
=> ( n5 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finite_domain_5) ).
fof(f2264,plain,
( spl40_213
| ~ spl40_45
| ~ spl40_211 ),
inference(avatar_split_clause,[],[f2255,f2252,f681,f2262]) ).
fof(f2262,plain,
( spl40_213
<=> ! [X0,X3,X2,X1] :
( ~ leq(tptp_float_0_0,X0)
| a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| a_select2(X2,sK29(X1,X2,X3)) != X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_213])]) ).
fof(f2252,plain,
( spl40_211
<=> ! [X0,X3,X2,X1] :
( a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| ~ leq(n0,X0)
| a_select2(X2,sK29(X1,X2,X3)) != X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_211])]) ).
fof(f2255,plain,
( ! [X2,X3,X0,X1] :
( ~ leq(tptp_float_0_0,X0)
| a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| a_select2(X2,sK29(X1,X2,X3)) != X3 )
| ~ spl40_45
| ~ spl40_211 ),
inference(forward_demodulation,[],[f2253,f683]) ).
fof(f2253,plain,
( ! [X2,X3,X0,X1] :
( a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| ~ leq(n0,X0)
| a_select2(X2,sK29(X1,X2,X3)) != X3 )
| ~ spl40_211 ),
inference(avatar_component_clause,[],[f2252]) ).
fof(f2260,plain,
( spl40_212
| ~ spl40_18
| ~ spl40_48 ),
inference(avatar_split_clause,[],[f732,f707,f543,f2257]) ).
fof(f2257,plain,
( spl40_212
<=> leq(n1,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_212])]) ).
fof(f732,plain,
( leq(n1,n5)
| ~ spl40_18
| ~ spl40_48 ),
inference(resolution,[],[f708,f545]) ).
fof(f2254,plain,
spl40_211,
inference(avatar_split_clause,[],[f378,f2252]) ).
fof(f378,plain,
! [X2,X3,X0,X1] :
( a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| ~ leq(n0,X0)
| a_select2(X2,sK29(X1,X2,X3)) != X3 ),
inference(cnf_transformation,[],[f223]) ).
fof(f223,plain,
! [X0,X1,X2,X3] :
( a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| ~ leq(n0,X0)
| ( a_select2(X2,sK29(X1,X2,X3)) != X3
& leq(sK29(X1,X2,X3),X1)
& leq(n0,sK29(X1,X2,X3)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK29])],[f149,f222]) ).
fof(f222,plain,
! [X1,X2,X3] :
( ? [X4] :
( a_select2(X2,X4) != X3
& leq(X4,X1)
& leq(n0,X4) )
=> ( a_select2(X2,sK29(X1,X2,X3)) != X3
& leq(sK29(X1,X2,X3),X1)
& leq(n0,sK29(X1,X2,X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f149,plain,
! [X0,X1,X2,X3] :
( a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| ~ leq(n0,X0)
| ? [X4] :
( a_select2(X2,X4) != X3
& leq(X4,X1)
& leq(n0,X4) ) ),
inference(flattening,[],[f148]) ).
fof(f148,plain,
! [X0,X1,X2,X3] :
( a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| ~ leq(n0,X0)
| ? [X4] :
( a_select2(X2,X4) != X3
& leq(X4,X1)
& leq(n0,X4) ) ),
inference(ennf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0,X1,X2,X3] :
( ( leq(X0,X1)
& leq(n0,X0)
& ! [X4] :
( ( leq(X4,X1)
& leq(n0,X4) )
=> a_select2(X2,X4) = X3 ) )
=> a_select2(tptp_update2(X2,X1,X3),X0) = X3 ),
inference(rectify,[],[f50]) ).
fof(f50,axiom,
! [X4,X6,X0,X16] :
( ( leq(X4,X6)
& leq(n0,X4)
& ! [X25] :
( ( leq(X25,X6)
& leq(n0,X25) )
=> a_select2(X0,X25) = X16 ) )
=> a_select2(tptp_update2(X0,X6,X16),X4) = X16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sel2_update_3) ).
fof(f2220,plain,
( spl40_210
| ~ spl40_45
| ~ spl40_209 ),
inference(avatar_split_clause,[],[f2216,f2212,f681,f2218]) ).
fof(f2218,plain,
( spl40_210
<=> ! [X0] :
( ~ leq(tptp_float_0_0,X0)
| tptp_float_0_0 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| ~ leq(X0,n4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_210])]) ).
fof(f2212,plain,
( spl40_209
<=> ! [X0] :
( n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n4)
| ~ leq(n0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_209])]) ).
fof(f2216,plain,
( ! [X0] :
( ~ leq(tptp_float_0_0,X0)
| tptp_float_0_0 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| ~ leq(X0,n4) )
| ~ spl40_45
| ~ spl40_209 ),
inference(forward_demodulation,[],[f2215,f683]) ).
fof(f2215,plain,
( ! [X0] :
( tptp_float_0_0 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| ~ leq(X0,n4)
| ~ leq(n0,X0) )
| ~ spl40_45
| ~ spl40_209 ),
inference(forward_demodulation,[],[f2213,f683]) ).
fof(f2213,plain,
( ! [X0] :
( n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n4)
| ~ leq(n0,X0) )
| ~ spl40_209 ),
inference(avatar_component_clause,[],[f2212]) ).
fof(f2214,plain,
spl40_209,
inference(avatar_split_clause,[],[f306,f2212]) ).
fof(f306,plain,
! [X0] :
( n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n4)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0] :
( n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n4)
| ~ leq(n0,X0) ),
inference(flattening,[],[f112]) ).
fof(f112,plain,
! [X0] :
( n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n4)
| ~ leq(n0,X0) ),
inference(ennf_transformation,[],[f76]) ).
fof(f76,axiom,
! [X0] :
( ( leq(X0,n4)
& leq(n0,X0) )
=> ( n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finite_domain_4) ).
fof(f2150,plain,
( spl40_208
| ~ spl40_14
| ~ spl40_48 ),
inference(avatar_split_clause,[],[f731,f707,f523,f2147]) ).
fof(f2147,plain,
( spl40_208
<=> leq(tptp_minus_1,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_208])]) ).
fof(f731,plain,
( leq(tptp_minus_1,n5)
| ~ spl40_14
| ~ spl40_48 ),
inference(resolution,[],[f708,f525]) ).
fof(f2145,plain,
( spl40_207
| ~ spl40_45
| ~ spl40_200 ),
inference(avatar_split_clause,[],[f2116,f2113,f681,f2143]) ).
fof(f2143,plain,
( spl40_207
<=> ! [X0,X3,X2,X1] :
( ~ leq(tptp_float_0_0,X0)
| a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| leq(sK29(X1,X2,X3),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_207])]) ).
fof(f2113,plain,
( spl40_200
<=> ! [X0,X3,X2,X1] :
( a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| ~ leq(n0,X0)
| leq(sK29(X1,X2,X3),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_200])]) ).
fof(f2116,plain,
( ! [X2,X3,X0,X1] :
( ~ leq(tptp_float_0_0,X0)
| a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| leq(sK29(X1,X2,X3),X1) )
| ~ spl40_45
| ~ spl40_200 ),
inference(forward_demodulation,[],[f2114,f683]) ).
fof(f2114,plain,
( ! [X2,X3,X0,X1] :
( a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| ~ leq(n0,X0)
| leq(sK29(X1,X2,X3),X1) )
| ~ spl40_200 ),
inference(avatar_component_clause,[],[f2113]) ).
fof(f2141,plain,
( spl40_206
| ~ spl40_45
| ~ spl40_199 ),
inference(avatar_split_clause,[],[f2111,f2107,f681,f2139]) ).
fof(f2139,plain,
( spl40_206
<=> ! [X0,X3,X2,X1] :
( leq(tptp_float_0_0,sK29(X1,X2,X3))
| ~ leq(tptp_float_0_0,X0)
| a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_206])]) ).
fof(f2107,plain,
( spl40_199
<=> ! [X0,X3,X2,X1] :
( a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| ~ leq(n0,X0)
| leq(n0,sK29(X1,X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_199])]) ).
fof(f2111,plain,
( ! [X2,X3,X0,X1] :
( leq(tptp_float_0_0,sK29(X1,X2,X3))
| ~ leq(tptp_float_0_0,X0)
| a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1) )
| ~ spl40_45
| ~ spl40_199 ),
inference(forward_demodulation,[],[f2110,f683]) ).
fof(f2110,plain,
( ! [X2,X3,X0,X1] :
( ~ leq(tptp_float_0_0,X0)
| a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| leq(n0,sK29(X1,X2,X3)) )
| ~ spl40_45
| ~ spl40_199 ),
inference(forward_demodulation,[],[f2108,f683]) ).
fof(f2108,plain,
( ! [X2,X3,X0,X1] :
( a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| ~ leq(n0,X0)
| leq(n0,sK29(X1,X2,X3)) )
| ~ spl40_199 ),
inference(avatar_component_clause,[],[f2107]) ).
fof(f2137,plain,
( spl40_205
| ~ spl40_21
| ~ spl40_48 ),
inference(avatar_split_clause,[],[f729,f707,f558,f2134]) ).
fof(f2134,plain,
( spl40_205
<=> leq(n3,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_205])]) ).
fof(f729,plain,
( leq(n3,n4)
| ~ spl40_21
| ~ spl40_48 ),
inference(resolution,[],[f708,f560]) ).
fof(f2132,plain,
spl40_204,
inference(avatar_split_clause,[],[f408,f2130]) ).
fof(f2130,plain,
( spl40_204
<=> ! [X0,X1] :
( a_select3(X0,sK38(X0,X1),sK39(X0,X1)) != a_select3(X0,sK39(X0,X1),sK38(X0,X1))
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_204])]) ).
fof(f408,plain,
! [X0,X1] :
( a_select3(X0,sK38(X0,X1),sK39(X0,X1)) != a_select3(X0,sK39(X0,X1),sK38(X0,X1))
| ~ sP10(X0,X1) ),
inference(cnf_transformation,[],[f244]) ).
fof(f244,plain,
! [X0,X1] :
( ( a_select3(X0,sK38(X0,X1),sK39(X0,X1)) != a_select3(X0,sK39(X0,X1),sK38(X0,X1))
& leq(sK39(X0,X1),X1)
& leq(n0,sK39(X0,X1))
& leq(sK38(X0,X1),X1)
& leq(n0,sK38(X0,X1)) )
| ~ sP10(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK38,sK39])],[f242,f243]) ).
fof(f243,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> ( a_select3(X0,sK38(X0,X1),sK39(X0,X1)) != a_select3(X0,sK39(X0,X1),sK38(X0,X1))
& leq(sK39(X0,X1),X1)
& leq(n0,sK39(X0,X1))
& leq(sK38(X0,X1),X1)
& leq(n0,sK38(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f242,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP10(X0,X1) ),
inference(rectify,[],[f241]) ).
fof(f241,plain,
! [X3,X7] :
( ? [X12,X13] :
( a_select3(X3,X12,X13) != a_select3(X3,X13,X12)
& leq(X13,X7)
& leq(n0,X13)
& leq(X12,X7)
& leq(n0,X12) )
| ~ sP10(X3,X7) ),
inference(nnf_transformation,[],[f180]) ).
fof(f2128,plain,
spl40_203,
inference(avatar_split_clause,[],[f403,f2126]) ).
fof(f2126,plain,
( spl40_203
<=> ! [X0,X1] :
( a_select3(X0,sK36(X0,X1),sK37(X0,X1)) != a_select3(X0,sK37(X0,X1),sK36(X0,X1))
| ~ sP11(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_203])]) ).
fof(f403,plain,
! [X0,X1] :
( a_select3(X0,sK36(X0,X1),sK37(X0,X1)) != a_select3(X0,sK37(X0,X1),sK36(X0,X1))
| ~ sP11(X0,X1) ),
inference(cnf_transformation,[],[f240]) ).
fof(f240,plain,
! [X0,X1] :
( ( a_select3(X0,sK36(X0,X1),sK37(X0,X1)) != a_select3(X0,sK37(X0,X1),sK36(X0,X1))
& leq(sK37(X0,X1),X1)
& leq(n0,sK37(X0,X1))
& leq(sK36(X0,X1),X1)
& leq(n0,sK36(X0,X1)) )
| ~ sP11(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK36,sK37])],[f238,f239]) ).
fof(f239,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> ( a_select3(X0,sK36(X0,X1),sK37(X0,X1)) != a_select3(X0,sK37(X0,X1),sK36(X0,X1))
& leq(sK37(X0,X1),X1)
& leq(n0,sK37(X0,X1))
& leq(sK36(X0,X1),X1)
& leq(n0,sK36(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f238,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP11(X0,X1) ),
inference(rectify,[],[f237]) ).
fof(f237,plain,
! [X0,X6] :
( ? [X10,X11] :
( a_select3(X0,X10,X11) != a_select3(X0,X11,X10)
& leq(X11,X6)
& leq(n0,X11)
& leq(X10,X6)
& leq(n0,X10) )
| ~ sP11(X0,X6) ),
inference(nnf_transformation,[],[f181]) ).
fof(f2124,plain,
spl40_202,
inference(avatar_split_clause,[],[f398,f2122]) ).
fof(f2122,plain,
( spl40_202
<=> ! [X0,X1] :
( a_select3(X0,sK34(X0,X1),sK35(X0,X1)) != a_select3(X0,sK35(X0,X1),sK34(X0,X1))
| ~ sP12(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_202])]) ).
fof(f398,plain,
! [X0,X1] :
( a_select3(X0,sK34(X0,X1),sK35(X0,X1)) != a_select3(X0,sK35(X0,X1),sK34(X0,X1))
| ~ sP12(X0,X1) ),
inference(cnf_transformation,[],[f236]) ).
fof(f236,plain,
! [X0,X1] :
( ( a_select3(X0,sK34(X0,X1),sK35(X0,X1)) != a_select3(X0,sK35(X0,X1),sK34(X0,X1))
& leq(sK35(X0,X1),X1)
& leq(n0,sK35(X0,X1))
& leq(sK34(X0,X1),X1)
& leq(n0,sK34(X0,X1)) )
| ~ sP12(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK34,sK35])],[f234,f235]) ).
fof(f235,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> ( a_select3(X0,sK34(X0,X1),sK35(X0,X1)) != a_select3(X0,sK35(X0,X1),sK34(X0,X1))
& leq(sK35(X0,X1),X1)
& leq(n0,sK35(X0,X1))
& leq(sK34(X0,X1),X1)
& leq(n0,sK34(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f234,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP12(X0,X1) ),
inference(rectify,[],[f233]) ).
fof(f233,plain,
! [X5,X6] :
( ? [X8,X9] :
( a_select3(X5,X8,X9) != a_select3(X5,X9,X8)
& leq(X9,X6)
& leq(n0,X9)
& leq(X8,X6)
& leq(n0,X8) )
| ~ sP12(X5,X6) ),
inference(nnf_transformation,[],[f182]) ).
fof(f2120,plain,
spl40_201,
inference(avatar_split_clause,[],[f383,f2118]) ).
fof(f2118,plain,
( spl40_201
<=> ! [X0,X1] :
( a_select3(X0,sK30(X0,X1),sK31(X0,X1)) != a_select3(X0,sK31(X0,X1),sK30(X0,X1))
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_201])]) ).
fof(f383,plain,
! [X0,X1] :
( a_select3(X0,sK30(X0,X1),sK31(X0,X1)) != a_select3(X0,sK31(X0,X1),sK30(X0,X1))
| ~ sP8(X0,X1) ),
inference(cnf_transformation,[],[f227]) ).
fof(f227,plain,
! [X0,X1] :
( ( a_select3(X0,sK30(X0,X1),sK31(X0,X1)) != a_select3(X0,sK31(X0,X1),sK30(X0,X1))
& leq(sK31(X0,X1),X1)
& leq(n0,sK31(X0,X1))
& leq(sK30(X0,X1),X1)
& leq(n0,sK30(X0,X1)) )
| ~ sP8(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK30,sK31])],[f225,f226]) ).
fof(f226,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> ( a_select3(X0,sK30(X0,X1),sK31(X0,X1)) != a_select3(X0,sK31(X0,X1),sK30(X0,X1))
& leq(sK31(X0,X1),X1)
& leq(n0,sK31(X0,X1))
& leq(sK30(X0,X1),X1)
& leq(n0,sK30(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f225,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP8(X0,X1) ),
inference(rectify,[],[f224]) ).
fof(f224,plain,
! [X1,X3] :
( ? [X4,X5] :
( a_select3(X1,X4,X5) != a_select3(X1,X5,X4)
& leq(X5,X3)
& leq(n0,X5)
& leq(X4,X3)
& leq(n0,X4) )
| ~ sP8(X1,X3) ),
inference(nnf_transformation,[],[f176]) ).
fof(f2115,plain,
spl40_200,
inference(avatar_split_clause,[],[f377,f2113]) ).
fof(f377,plain,
! [X2,X3,X0,X1] :
( a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| ~ leq(n0,X0)
| leq(sK29(X1,X2,X3),X1) ),
inference(cnf_transformation,[],[f223]) ).
fof(f2109,plain,
spl40_199,
inference(avatar_split_clause,[],[f376,f2107]) ).
fof(f376,plain,
! [X2,X3,X0,X1] :
( a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| ~ leq(n0,X0)
| leq(n0,sK29(X1,X2,X3)) ),
inference(cnf_transformation,[],[f223]) ).
fof(f2105,plain,
spl40_198,
inference(avatar_split_clause,[],[f372,f2103]) ).
fof(f2103,plain,
( spl40_198
<=> ! [X0,X1] :
( a_select3(X0,sK27(X0,X1),sK28(X0,X1)) != a_select3(X0,sK28(X0,X1),sK27(X0,X1))
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_198])]) ).
fof(f372,plain,
! [X0,X1] :
( a_select3(X0,sK27(X0,X1),sK28(X0,X1)) != a_select3(X0,sK28(X0,X1),sK27(X0,X1))
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f220]) ).
fof(f220,plain,
! [X0,X1] :
( ( a_select3(X0,sK27(X0,X1),sK28(X0,X1)) != a_select3(X0,sK28(X0,X1),sK27(X0,X1))
& leq(sK28(X0,X1),X1)
& leq(n0,sK28(X0,X1))
& leq(sK27(X0,X1),X1)
& leq(n0,sK27(X0,X1)) )
| ~ sP7(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK27,sK28])],[f218,f219]) ).
fof(f219,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> ( a_select3(X0,sK27(X0,X1),sK28(X0,X1)) != a_select3(X0,sK28(X0,X1),sK27(X0,X1))
& leq(sK28(X0,X1),X1)
& leq(n0,sK28(X0,X1))
& leq(sK27(X0,X1),X1)
& leq(n0,sK27(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f218,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP7(X0,X1) ),
inference(rectify,[],[f217]) ).
fof(f217,plain,
! [X1,X2] :
( ? [X3,X4] :
( a_select3(X1,X3,X4) != a_select3(X1,X4,X3)
& leq(X4,X2)
& leq(n0,X4)
& leq(X3,X2)
& leq(n0,X3) )
| ~ sP7(X1,X2) ),
inference(nnf_transformation,[],[f174]) ).
fof(f2101,plain,
spl40_197,
inference(avatar_split_clause,[],[f366,f2099]) ).
fof(f2099,plain,
( spl40_197
<=> ! [X0,X1] :
( a_select3(X0,sK25(X0,X1),sK26(X0,X1)) != a_select3(X0,sK26(X0,X1),sK25(X0,X1))
| ~ sP5(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_197])]) ).
fof(f366,plain,
! [X0,X1] :
( a_select3(X0,sK25(X0,X1),sK26(X0,X1)) != a_select3(X0,sK26(X0,X1),sK25(X0,X1))
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f215]) ).
fof(f215,plain,
! [X0,X1] :
( ( a_select3(X0,sK25(X0,X1),sK26(X0,X1)) != a_select3(X0,sK26(X0,X1),sK25(X0,X1))
& leq(sK26(X0,X1),X1)
& leq(n0,sK26(X0,X1))
& leq(sK25(X0,X1),X1)
& leq(n0,sK25(X0,X1)) )
| ~ sP5(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25,sK26])],[f213,f214]) ).
fof(f214,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> ( a_select3(X0,sK25(X0,X1),sK26(X0,X1)) != a_select3(X0,sK26(X0,X1),sK25(X0,X1))
& leq(sK26(X0,X1),X1)
& leq(n0,sK26(X0,X1))
& leq(sK25(X0,X1),X1)
& leq(n0,sK25(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f213,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP5(X0,X1) ),
inference(rectify,[],[f212]) ).
fof(f212,plain,
! [X0,X2] :
( ? [X5,X6] :
( a_select3(X0,X5,X6) != a_select3(X0,X6,X5)
& leq(X6,X2)
& leq(n0,X6)
& leq(X5,X2)
& leq(n0,X5) )
| ~ sP5(X0,X2) ),
inference(nnf_transformation,[],[f171]) ).
fof(f2097,plain,
spl40_196,
inference(avatar_split_clause,[],[f361,f2095]) ).
fof(f2095,plain,
( spl40_196
<=> ! [X0,X1] :
( a_select3(X0,sK23(X0,X1),sK24(X0,X1)) != a_select3(X0,sK24(X0,X1),sK23(X0,X1))
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_196])]) ).
fof(f361,plain,
! [X0,X1] :
( a_select3(X0,sK23(X0,X1),sK24(X0,X1)) != a_select3(X0,sK24(X0,X1),sK23(X0,X1))
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f211]) ).
fof(f211,plain,
! [X0,X1] :
( ( a_select3(X0,sK23(X0,X1),sK24(X0,X1)) != a_select3(X0,sK24(X0,X1),sK23(X0,X1))
& leq(sK24(X0,X1),X1)
& leq(n0,sK24(X0,X1))
& leq(sK23(X0,X1),X1)
& leq(n0,sK23(X0,X1)) )
| ~ sP6(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK23,sK24])],[f209,f210]) ).
fof(f210,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> ( a_select3(X0,sK23(X0,X1),sK24(X0,X1)) != a_select3(X0,sK24(X0,X1),sK23(X0,X1))
& leq(sK24(X0,X1),X1)
& leq(n0,sK24(X0,X1))
& leq(sK23(X0,X1),X1)
& leq(n0,sK23(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f209,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP6(X0,X1) ),
inference(rectify,[],[f208]) ).
fof(f208,plain,
! [X1,X2] :
( ? [X3,X4] :
( a_select3(X1,X3,X4) != a_select3(X1,X4,X3)
& leq(X4,X2)
& leq(n0,X4)
& leq(X3,X2)
& leq(n0,X3) )
| ~ sP6(X1,X2) ),
inference(nnf_transformation,[],[f172]) ).
fof(f2093,plain,
spl40_195,
inference(avatar_split_clause,[],[f355,f2091]) ).
fof(f2091,plain,
( spl40_195
<=> ! [X0,X1] :
( a_select3(X0,sK21(X0,X1),sK22(X0,X1)) != a_select3(X0,sK22(X0,X1),sK21(X0,X1))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_195])]) ).
fof(f355,plain,
! [X0,X1] :
( a_select3(X0,sK21(X0,X1),sK22(X0,X1)) != a_select3(X0,sK22(X0,X1),sK21(X0,X1))
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f206]) ).
fof(f206,plain,
! [X0,X1] :
( ( a_select3(X0,sK21(X0,X1),sK22(X0,X1)) != a_select3(X0,sK22(X0,X1),sK21(X0,X1))
& leq(sK22(X0,X1),X1)
& leq(n0,sK22(X0,X1))
& leq(sK21(X0,X1),X1)
& leq(n0,sK21(X0,X1)) )
| ~ sP3(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21,sK22])],[f204,f205]) ).
fof(f205,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> ( a_select3(X0,sK21(X0,X1),sK22(X0,X1)) != a_select3(X0,sK22(X0,X1),sK21(X0,X1))
& leq(sK22(X0,X1),X1)
& leq(n0,sK22(X0,X1))
& leq(sK21(X0,X1),X1)
& leq(n0,sK21(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f204,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP3(X0,X1) ),
inference(rectify,[],[f203]) ).
fof(f203,plain,
! [X0,X2] :
( ? [X5,X6] :
( a_select3(X0,X5,X6) != a_select3(X0,X6,X5)
& leq(X6,X2)
& leq(n0,X6)
& leq(X5,X2)
& leq(n0,X5) )
| ~ sP3(X0,X2) ),
inference(nnf_transformation,[],[f168]) ).
fof(f2089,plain,
( spl40_194
| ~ spl40_22
| ~ spl40_48 ),
inference(avatar_split_clause,[],[f728,f707,f563,f2086]) ).
fof(f2086,plain,
( spl40_194
<=> leq(n2,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_194])]) ).
fof(f728,plain,
( leq(n2,n4)
| ~ spl40_22
| ~ spl40_48 ),
inference(resolution,[],[f708,f565]) ).
fof(f2084,plain,
spl40_193,
inference(avatar_split_clause,[],[f350,f2082]) ).
fof(f2082,plain,
( spl40_193
<=> ! [X0,X1] :
( a_select3(X0,sK19(X0,X1),sK20(X0,X1)) != a_select3(X0,sK20(X0,X1),sK19(X0,X1))
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_193])]) ).
fof(f350,plain,
! [X0,X1] :
( a_select3(X0,sK19(X0,X1),sK20(X0,X1)) != a_select3(X0,sK20(X0,X1),sK19(X0,X1))
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f202]) ).
fof(f202,plain,
! [X0,X1] :
( ( a_select3(X0,sK19(X0,X1),sK20(X0,X1)) != a_select3(X0,sK20(X0,X1),sK19(X0,X1))
& leq(sK20(X0,X1),X1)
& leq(n0,sK20(X0,X1))
& leq(sK19(X0,X1),X1)
& leq(n0,sK19(X0,X1)) )
| ~ sP4(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19,sK20])],[f200,f201]) ).
fof(f201,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> ( a_select3(X0,sK19(X0,X1),sK20(X0,X1)) != a_select3(X0,sK20(X0,X1),sK19(X0,X1))
& leq(sK20(X0,X1),X1)
& leq(n0,sK20(X0,X1))
& leq(sK19(X0,X1),X1)
& leq(n0,sK19(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f200,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP4(X0,X1) ),
inference(rectify,[],[f199]) ).
fof(f199,plain,
! [X1,X2] :
( ? [X3,X4] :
( a_select3(X1,X3,X4) != a_select3(X1,X4,X3)
& leq(X4,X2)
& leq(n0,X4)
& leq(X3,X2)
& leq(n0,X3) )
| ~ sP4(X1,X2) ),
inference(nnf_transformation,[],[f169]) ).
fof(f2080,plain,
spl40_192,
inference(avatar_split_clause,[],[f335,f2078]) ).
fof(f2078,plain,
( spl40_192
<=> ! [X0,X1] :
( a_select3(X0,sK17(X0,X1),sK18(X0,X1)) != a_select3(X0,sK18(X0,X1),sK17(X0,X1))
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_192])]) ).
fof(f335,plain,
! [X0,X1] :
( a_select3(X0,sK17(X0,X1),sK18(X0,X1)) != a_select3(X0,sK18(X0,X1),sK17(X0,X1))
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f194]) ).
fof(f194,plain,
! [X0,X1] :
( ( a_select3(X0,sK17(X0,X1),sK18(X0,X1)) != a_select3(X0,sK18(X0,X1),sK17(X0,X1))
& leq(sK18(X0,X1),X1)
& leq(n0,sK18(X0,X1))
& leq(sK17(X0,X1),X1)
& leq(n0,sK17(X0,X1)) )
| ~ sP2(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17,sK18])],[f192,f193]) ).
fof(f193,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> ( a_select3(X0,sK17(X0,X1),sK18(X0,X1)) != a_select3(X0,sK18(X0,X1),sK17(X0,X1))
& leq(sK18(X0,X1),X1)
& leq(n0,sK18(X0,X1))
& leq(sK17(X0,X1),X1)
& leq(n0,sK17(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f192,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP2(X0,X1) ),
inference(nnf_transformation,[],[f166]) ).
fof(f2076,plain,
spl40_191,
inference(avatar_split_clause,[],[f329,f2074]) ).
fof(f2074,plain,
( spl40_191
<=> ! [X0,X1] :
( a_select3(X0,sK15(X0,X1),sK16(X0,X1)) != a_select3(X0,sK16(X0,X1),sK15(X0,X1))
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_191])]) ).
fof(f329,plain,
! [X0,X1] :
( a_select3(X0,sK15(X0,X1),sK16(X0,X1)) != a_select3(X0,sK16(X0,X1),sK15(X0,X1))
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f190]) ).
fof(f190,plain,
! [X0,X1] :
( ( a_select3(X0,sK15(X0,X1),sK16(X0,X1)) != a_select3(X0,sK16(X0,X1),sK15(X0,X1))
& leq(sK16(X0,X1),X1)
& leq(n0,sK16(X0,X1))
& leq(sK15(X0,X1),X1)
& leq(n0,sK15(X0,X1)) )
| ~ sP1(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15,sK16])],[f188,f189]) ).
fof(f189,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> ( a_select3(X0,sK15(X0,X1),sK16(X0,X1)) != a_select3(X0,sK16(X0,X1),sK15(X0,X1))
& leq(sK16(X0,X1),X1)
& leq(n0,sK16(X0,X1))
& leq(sK15(X0,X1),X1)
& leq(n0,sK15(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f188,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP1(X0,X1) ),
inference(nnf_transformation,[],[f164]) ).
fof(f2072,plain,
spl40_190,
inference(avatar_split_clause,[],[f323,f2070]) ).
fof(f2070,plain,
( spl40_190
<=> ! [X0,X1] :
( a_select3(X0,sK13(X0,X1),sK14(X0,X1)) != a_select3(X0,sK14(X0,X1),sK13(X0,X1))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_190])]) ).
fof(f323,plain,
! [X0,X1] :
( a_select3(X0,sK13(X0,X1),sK14(X0,X1)) != a_select3(X0,sK14(X0,X1),sK13(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f186]) ).
fof(f186,plain,
! [X0,X1] :
( ( a_select3(X0,sK13(X0,X1),sK14(X0,X1)) != a_select3(X0,sK14(X0,X1),sK13(X0,X1))
& leq(sK14(X0,X1),X1)
& leq(n0,sK14(X0,X1))
& leq(sK13(X0,X1),X1)
& leq(n0,sK13(X0,X1)) )
| ~ sP0(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14])],[f184,f185]) ).
fof(f185,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> ( a_select3(X0,sK13(X0,X1),sK14(X0,X1)) != a_select3(X0,sK14(X0,X1),sK13(X0,X1))
& leq(sK14(X0,X1),X1)
& leq(n0,sK14(X0,X1))
& leq(sK13(X0,X1),X1)
& leq(n0,sK13(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f184,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP0(X0,X1) ),
inference(nnf_transformation,[],[f162]) ).
fof(f2068,plain,
spl40_189,
inference(avatar_split_clause,[],[f390,f2066]) ).
fof(f2066,plain,
( spl40_189
<=> ! [X0,X3,X2,X1] :
( a_select3(X1,sK32(X0,X1,X2,X3),sK33(X0,X1,X2,X3)) != X0
| ~ sP9(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_189])]) ).
fof(f390,plain,
! [X2,X3,X0,X1] :
( a_select3(X1,sK32(X0,X1,X2,X3),sK33(X0,X1,X2,X3)) != X0
| ~ sP9(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f232]) ).
fof(f232,plain,
! [X0,X1,X2,X3] :
( ( a_select3(X1,sK32(X0,X1,X2,X3),sK33(X0,X1,X2,X3)) != X0
& leq(sK33(X0,X1,X2,X3),X2)
& leq(sK32(X0,X1,X2,X3),X3)
& leq(n0,sK33(X0,X1,X2,X3))
& leq(n0,sK32(X0,X1,X2,X3)) )
| ~ sP9(X0,X1,X2,X3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK32,sK33])],[f230,f231]) ).
fof(f231,plain,
! [X0,X1,X2,X3] :
( ? [X4,X5] :
( a_select3(X1,X4,X5) != X0
& leq(X5,X2)
& leq(X4,X3)
& leq(n0,X5)
& leq(n0,X4) )
=> ( a_select3(X1,sK32(X0,X1,X2,X3),sK33(X0,X1,X2,X3)) != X0
& leq(sK33(X0,X1,X2,X3),X2)
& leq(sK32(X0,X1,X2,X3),X3)
& leq(n0,sK33(X0,X1,X2,X3))
& leq(n0,sK32(X0,X1,X2,X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f230,plain,
! [X0,X1,X2,X3] :
( ? [X4,X5] :
( a_select3(X1,X4,X5) != X0
& leq(X5,X2)
& leq(X4,X3)
& leq(n0,X5)
& leq(n0,X4) )
| ~ sP9(X0,X1,X2,X3) ),
inference(rectify,[],[f229]) ).
fof(f229,plain,
! [X5,X4,X3,X2] :
( ? [X6,X7] :
( a_select3(X4,X6,X7) != X5
& leq(X7,X3)
& leq(X6,X2)
& leq(n0,X7)
& leq(n0,X6) )
| ~ sP9(X5,X4,X3,X2) ),
inference(nnf_transformation,[],[f178]) ).
fof(f2034,plain,
( spl40_188
| ~ spl40_45
| ~ spl40_187 ),
inference(avatar_split_clause,[],[f2030,f2026,f681,f2032]) ).
fof(f2032,plain,
( spl40_188
<=> ! [X0] :
( ~ leq(tptp_float_0_0,X0)
| tptp_float_0_0 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| ~ leq(X0,n3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_188])]) ).
fof(f2026,plain,
( spl40_187
<=> ! [X0] :
( n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n3)
| ~ leq(n0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_187])]) ).
fof(f2030,plain,
( ! [X0] :
( ~ leq(tptp_float_0_0,X0)
| tptp_float_0_0 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| ~ leq(X0,n3) )
| ~ spl40_45
| ~ spl40_187 ),
inference(forward_demodulation,[],[f2029,f683]) ).
fof(f2029,plain,
( ! [X0] :
( tptp_float_0_0 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| ~ leq(X0,n3)
| ~ leq(n0,X0) )
| ~ spl40_45
| ~ spl40_187 ),
inference(forward_demodulation,[],[f2027,f683]) ).
fof(f2027,plain,
( ! [X0] :
( n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n3)
| ~ leq(n0,X0) )
| ~ spl40_187 ),
inference(avatar_component_clause,[],[f2026]) ).
fof(f2028,plain,
spl40_187,
inference(avatar_split_clause,[],[f307,f2026]) ).
fof(f307,plain,
! [X0] :
( n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n3)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0] :
( n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n3)
| ~ leq(n0,X0) ),
inference(flattening,[],[f114]) ).
fof(f114,plain,
! [X0] :
( n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n3)
| ~ leq(n0,X0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f81,axiom,
! [X0] :
( ( leq(X0,n3)
& leq(n0,X0) )
=> ( n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finite_domain_3) ).
fof(f2022,plain,
( spl40_186
| ~ spl40_23
| ~ spl40_48 ),
inference(avatar_split_clause,[],[f727,f707,f568,f2019]) ).
fof(f2019,plain,
( spl40_186
<=> leq(n1,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_186])]) ).
fof(f727,plain,
( leq(n1,n4)
| ~ spl40_23
| ~ spl40_48 ),
inference(resolution,[],[f708,f570]) ).
fof(f2017,plain,
spl40_185,
inference(avatar_split_clause,[],[f438,f2015]) ).
fof(f2015,plain,
( spl40_185
<=> ! [X3,X4,X0,X6,X2] :
( a_select3(X4,X2,X3) = a_select3(tptp_update3(X4,X0,X3,X6),X2,X3)
| X0 = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_185])]) ).
fof(f438,plain,
! [X2,X3,X0,X6,X4] :
( a_select3(X4,X2,X3) = a_select3(tptp_update3(X4,X0,X3,X6),X2,X3)
| X0 = X2 ),
inference(equality_resolution,[],[f437]) ).
fof(f437,plain,
! [X2,X3,X0,X1,X6,X4] :
( a_select3(X4,X2,X3) = a_select3(tptp_update3(X4,X0,X1,X6),X2,X3)
| X1 != X3
| X0 = X2 ),
inference(equality_resolution,[],[f392]) ).
fof(f392,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( a_select3(tptp_update3(X4,X0,X1,X6),X2,X3) = X5
| a_select3(X4,X2,X3) != X5
| X1 != X3
| X0 = X2 ),
inference(cnf_transformation,[],[f157]) ).
fof(f157,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( a_select3(tptp_update3(X4,X0,X1,X6),X2,X3) = X5
| a_select3(X4,X2,X3) != X5
| X1 != X3
| X0 = X2 ),
inference(flattening,[],[f156]) ).
fof(f156,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( a_select3(tptp_update3(X4,X0,X1,X6),X2,X3) = X5
| a_select3(X4,X2,X3) != X5
| X1 != X3
| X0 = X2 ),
inference(ennf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( a_select3(X4,X2,X3) = X5
& X1 = X3
& X0 != X2 )
=> a_select3(tptp_update3(X4,X0,X1,X6),X2,X3) = X5 ),
inference(rectify,[],[f46]) ).
fof(f46,axiom,
! [X4,X10,X6,X23,X0,X16,X24] :
( ( a_select3(X0,X6,X23) = X16
& X10 = X23
& X4 != X6 )
=> a_select3(tptp_update3(X0,X4,X10,X24),X6,X23) = X16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sel3_update_2) ).
fof(f1925,plain,
( spl40_184
| ~ spl40_45
| ~ spl40_182 ),
inference(avatar_split_clause,[],[f1917,f1913,f681,f1923]) ).
fof(f1923,plain,
( spl40_184
<=> ! [X0] :
( ~ leq(tptp_float_0_0,X0)
| tptp_float_0_0 = X0
| n2 = X0
| n1 = X0
| ~ leq(X0,n2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_184])]) ).
fof(f1913,plain,
( spl40_182
<=> ! [X0] :
( n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n2)
| ~ leq(n0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_182])]) ).
fof(f1917,plain,
( ! [X0] :
( ~ leq(tptp_float_0_0,X0)
| tptp_float_0_0 = X0
| n2 = X0
| n1 = X0
| ~ leq(X0,n2) )
| ~ spl40_45
| ~ spl40_182 ),
inference(forward_demodulation,[],[f1916,f683]) ).
fof(f1916,plain,
( ! [X0] :
( tptp_float_0_0 = X0
| n2 = X0
| n1 = X0
| ~ leq(X0,n2)
| ~ leq(n0,X0) )
| ~ spl40_45
| ~ spl40_182 ),
inference(forward_demodulation,[],[f1914,f683]) ).
fof(f1914,plain,
( ! [X0] :
( n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n2)
| ~ leq(n0,X0) )
| ~ spl40_182 ),
inference(avatar_component_clause,[],[f1913]) ).
fof(f1921,plain,
spl40_183,
inference(avatar_split_clause,[],[f375,f1919]) ).
fof(f1919,plain,
( spl40_183
<=> ! [X0,X3,X2,X1] :
( a_select2(tptp_const_array1(dim(X1,X2),X3),X0) = X3
| ~ leq(X0,X2)
| ~ leq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_183])]) ).
fof(f375,plain,
! [X2,X3,X0,X1] :
( a_select2(tptp_const_array1(dim(X1,X2),X3),X0) = X3
| ~ leq(X0,X2)
| ~ leq(X1,X0) ),
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
! [X0,X1,X2,X3] :
( a_select2(tptp_const_array1(dim(X1,X2),X3),X0) = X3
| ~ leq(X0,X2)
| ~ leq(X1,X0) ),
inference(flattening,[],[f146]) ).
fof(f146,plain,
! [X0,X1,X2,X3] :
( a_select2(tptp_const_array1(dim(X1,X2),X3),X0) = X3
| ~ leq(X0,X2)
| ~ leq(X1,X0) ),
inference(ennf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0,X1,X2,X3] :
( ( leq(X0,X2)
& leq(X1,X0) )
=> a_select2(tptp_const_array1(dim(X1,X2),X3),X0) = X3 ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X4,X5,X6,X7] :
( ( leq(X4,X6)
& leq(X5,X4) )
=> a_select2(tptp_const_array1(dim(X5,X6),X7),X4) = X7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',const_array1_select) ).
fof(f1915,plain,
spl40_182,
inference(avatar_split_clause,[],[f308,f1913]) ).
fof(f308,plain,
! [X0] :
( n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n2)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0] :
( n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n2)
| ~ leq(n0,X0) ),
inference(flattening,[],[f116]) ).
fof(f116,plain,
! [X0] :
( n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n2)
| ~ leq(n0,X0) ),
inference(ennf_transformation,[],[f80]) ).
fof(f80,axiom,
! [X0] :
( ( leq(X0,n2)
& leq(n0,X0) )
=> ( n2 = X0
| n1 = X0
| n0 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finite_domain_2) ).
fof(f1909,plain,
spl40_181,
inference(avatar_split_clause,[],[f436,f1907]) ).
fof(f436,plain,
! [X2,X0,X1,X4] :
( a_select2(X2,X1) = a_select2(tptp_update2(X2,X0,X4),X1)
| X0 = X1 ),
inference(equality_resolution,[],[f385]) ).
fof(f385,plain,
! [X2,X3,X0,X1,X4] :
( a_select2(tptp_update2(X2,X0,X4),X1) = X3
| a_select2(X2,X1) != X3
| X0 = X1 ),
inference(cnf_transformation,[],[f153]) ).
fof(f153,plain,
! [X0,X1,X2,X3,X4] :
( a_select2(tptp_update2(X2,X0,X4),X1) = X3
| a_select2(X2,X1) != X3
| X0 = X1 ),
inference(flattening,[],[f152]) ).
fof(f152,plain,
! [X0,X1,X2,X3,X4] :
( a_select2(tptp_update2(X2,X0,X4),X1) = X3
| a_select2(X2,X1) != X3
| X0 = X1 ),
inference(ennf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0,X1,X2,X3,X4] :
( ( a_select2(X2,X1) = X3
& X0 != X1 )
=> a_select2(tptp_update2(X2,X0,X4),X1) = X3 ),
inference(rectify,[],[f49]) ).
fof(f49,axiom,
! [X4,X6,X0,X16,X24] :
( ( a_select2(X0,X6) = X16
& X4 != X6 )
=> a_select2(tptp_update2(X0,X4,X24),X6) = X16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sel2_update_2) ).
fof(f1897,plain,
( spl40_180
| ~ spl40_20
| ~ spl40_48 ),
inference(avatar_split_clause,[],[f726,f707,f553,f1894]) ).
fof(f1894,plain,
( spl40_180
<=> leq(tptp_minus_1,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_180])]) ).
fof(f726,plain,
( leq(tptp_minus_1,n4)
| ~ spl40_20
| ~ spl40_48 ),
inference(resolution,[],[f708,f555]) ).
fof(f1858,plain,
( spl40_179
| ~ spl40_45
| ~ spl40_174 ),
inference(avatar_split_clause,[],[f1838,f1835,f681,f1856]) ).
fof(f1856,plain,
( spl40_179
<=> ! [X0,X3,X2,X1] :
( leq(tptp_float_0_0,sK33(X0,X1,X2,X3))
| ~ sP9(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_179])]) ).
fof(f1835,plain,
( spl40_174
<=> ! [X0,X3,X2,X1] :
( leq(n0,sK33(X0,X1,X2,X3))
| ~ sP9(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_174])]) ).
fof(f1838,plain,
( ! [X2,X3,X0,X1] :
( leq(tptp_float_0_0,sK33(X0,X1,X2,X3))
| ~ sP9(X0,X1,X2,X3) )
| ~ spl40_45
| ~ spl40_174 ),
inference(forward_demodulation,[],[f1836,f683]) ).
fof(f1836,plain,
( ! [X2,X3,X0,X1] :
( leq(n0,sK33(X0,X1,X2,X3))
| ~ sP9(X0,X1,X2,X3) )
| ~ spl40_174 ),
inference(avatar_component_clause,[],[f1835]) ).
fof(f1854,plain,
( spl40_178
| ~ spl40_45
| ~ spl40_173 ),
inference(avatar_split_clause,[],[f1833,f1830,f681,f1852]) ).
fof(f1852,plain,
( spl40_178
<=> ! [X0,X3,X2,X1] :
( leq(tptp_float_0_0,sK32(X0,X1,X2,X3))
| ~ sP9(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_178])]) ).
fof(f1830,plain,
( spl40_173
<=> ! [X0,X3,X2,X1] :
( leq(n0,sK32(X0,X1,X2,X3))
| ~ sP9(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_173])]) ).
fof(f1833,plain,
( ! [X2,X3,X0,X1] :
( leq(tptp_float_0_0,sK32(X0,X1,X2,X3))
| ~ sP9(X0,X1,X2,X3) )
| ~ spl40_45
| ~ spl40_173 ),
inference(forward_demodulation,[],[f1831,f683]) ).
fof(f1831,plain,
( ! [X2,X3,X0,X1] :
( leq(n0,sK32(X0,X1,X2,X3))
| ~ sP9(X0,X1,X2,X3) )
| ~ spl40_173 ),
inference(avatar_component_clause,[],[f1830]) ).
fof(f1850,plain,
( spl40_177
| ~ spl40_45
| ~ spl40_171 ),
inference(avatar_split_clause,[],[f1823,f1819,f681,f1848]) ).
fof(f1848,plain,
( spl40_177
<=> ! [X0] :
( ~ leq(tptp_float_0_0,X0)
| tptp_float_0_0 = X0
| n1 = X0
| ~ leq(X0,n1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_177])]) ).
fof(f1819,plain,
( spl40_171
<=> ! [X0] :
( n1 = X0
| n0 = X0
| ~ leq(X0,n1)
| ~ leq(n0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_171])]) ).
fof(f1823,plain,
( ! [X0] :
( ~ leq(tptp_float_0_0,X0)
| tptp_float_0_0 = X0
| n1 = X0
| ~ leq(X0,n1) )
| ~ spl40_45
| ~ spl40_171 ),
inference(forward_demodulation,[],[f1822,f683]) ).
fof(f1822,plain,
( ! [X0] :
( tptp_float_0_0 = X0
| n1 = X0
| ~ leq(X0,n1)
| ~ leq(n0,X0) )
| ~ spl40_45
| ~ spl40_171 ),
inference(forward_demodulation,[],[f1820,f683]) ).
fof(f1820,plain,
( ! [X0] :
( n1 = X0
| n0 = X0
| ~ leq(X0,n1)
| ~ leq(n0,X0) )
| ~ spl40_171 ),
inference(avatar_component_clause,[],[f1819]) ).
fof(f1846,plain,
spl40_176,
inference(avatar_split_clause,[],[f389,f1844]) ).
fof(f1844,plain,
( spl40_176
<=> ! [X0,X3,X2,X1] :
( leq(sK33(X0,X1,X2,X3),X2)
| ~ sP9(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_176])]) ).
fof(f389,plain,
! [X2,X3,X0,X1] :
( leq(sK33(X0,X1,X2,X3),X2)
| ~ sP9(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f232]) ).
fof(f1842,plain,
spl40_175,
inference(avatar_split_clause,[],[f388,f1840]) ).
fof(f1840,plain,
( spl40_175
<=> ! [X0,X3,X2,X1] :
( leq(sK32(X0,X1,X2,X3),X3)
| ~ sP9(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_175])]) ).
fof(f388,plain,
! [X2,X3,X0,X1] :
( leq(sK32(X0,X1,X2,X3),X3)
| ~ sP9(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f232]) ).
fof(f1837,plain,
spl40_174,
inference(avatar_split_clause,[],[f387,f1835]) ).
fof(f387,plain,
! [X2,X3,X0,X1] :
( leq(n0,sK33(X0,X1,X2,X3))
| ~ sP9(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f232]) ).
fof(f1832,plain,
spl40_173,
inference(avatar_split_clause,[],[f386,f1830]) ).
fof(f386,plain,
! [X2,X3,X0,X1] :
( leq(n0,sK32(X0,X1,X2,X3))
| ~ sP9(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f232]) ).
fof(f1828,plain,
( spl40_172
| ~ spl40_26
| ~ spl40_48 ),
inference(avatar_split_clause,[],[f724,f707,f583,f1825]) ).
fof(f1825,plain,
( spl40_172
<=> leq(n2,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_172])]) ).
fof(f724,plain,
( leq(n2,n3)
| ~ spl40_26
| ~ spl40_48 ),
inference(resolution,[],[f708,f585]) ).
fof(f1821,plain,
spl40_171,
inference(avatar_split_clause,[],[f309,f1819]) ).
fof(f309,plain,
! [X0] :
( n1 = X0
| n0 = X0
| ~ leq(X0,n1)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0] :
( n1 = X0
| n0 = X0
| ~ leq(X0,n1)
| ~ leq(n0,X0) ),
inference(flattening,[],[f118]) ).
fof(f118,plain,
! [X0] :
( n1 = X0
| n0 = X0
| ~ leq(X0,n1)
| ~ leq(n0,X0) ),
inference(ennf_transformation,[],[f79]) ).
fof(f79,axiom,
! [X0] :
( ( leq(X0,n1)
& leq(n0,X0) )
=> ( n1 = X0
| n0 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finite_domain_1) ).
fof(f1749,plain,
spl40_170,
inference(avatar_split_clause,[],[f456,f1747]) ).
fof(f1747,plain,
( spl40_170
<=> ! [X0] : plus(n5,X0) = plus(plus(n2,plus(n2,X0)),n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_170])]) ).
fof(f456,plain,
! [X0] : plus(n5,X0) = plus(plus(n2,plus(n2,X0)),n1),
inference(forward_demodulation,[],[f455,f420]) ).
fof(f420,plain,
! [X0] : plus(n2,X0) = plus(plus(X0,n1),n1),
inference(definition_unfolding,[],[f297,f293,f293]) ).
fof(f293,plain,
! [X0] : succ(X0) = plus(X0,n1),
inference(cnf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0] : succ(X0) = plus(X0,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_plus_1_r) ).
fof(f297,plain,
! [X0] : succ(succ(X0)) = plus(n2,X0),
inference(cnf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0] : succ(succ(X0)) = plus(n2,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_plus_2_l) ).
fof(f455,plain,
! [X0] : plus(n5,X0) = plus(plus(n2,plus(plus(X0,n1),n1)),n1),
inference(forward_demodulation,[],[f427,f420]) ).
fof(f427,plain,
! [X0] : plus(n5,X0) = plus(plus(plus(plus(plus(X0,n1),n1),n1),n1),n1),
inference(definition_unfolding,[],[f304,f293,f293,f293,f293,f293]) ).
fof(f304,plain,
! [X0] : succ(succ(succ(succ(succ(X0))))) = plus(n5,X0),
inference(cnf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0] : succ(succ(succ(succ(succ(X0))))) = plus(n5,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_plus_5_l) ).
fof(f1745,plain,
spl40_169,
inference(avatar_split_clause,[],[f454,f1743]) ).
fof(f1743,plain,
( spl40_169
<=> ! [X0] : plus(X0,n5) = plus(plus(n2,plus(n2,X0)),n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_169])]) ).
fof(f454,plain,
! [X0] : plus(X0,n5) = plus(plus(n2,plus(n2,X0)),n1),
inference(forward_demodulation,[],[f453,f420]) ).
fof(f453,plain,
! [X0] : plus(X0,n5) = plus(plus(n2,plus(plus(X0,n1),n1)),n1),
inference(forward_demodulation,[],[f426,f420]) ).
fof(f426,plain,
! [X0] : plus(X0,n5) = plus(plus(plus(plus(plus(X0,n1),n1),n1),n1),n1),
inference(definition_unfolding,[],[f303,f293,f293,f293,f293,f293]) ).
fof(f303,plain,
! [X0] : plus(X0,n5) = succ(succ(succ(succ(succ(X0))))),
inference(cnf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] : plus(X0,n5) = succ(succ(succ(succ(succ(X0))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_plus_5_r) ).
fof(f1713,plain,
( spl40_168
| ~ spl40_154
| ~ spl40_157
| ~ spl40_167 ),
inference(avatar_split_clause,[],[f1709,f1706,f1310,f1297,f1711]) ).
fof(f1711,plain,
( spl40_168
<=> ! [X0] : plus(n4,X0) = plus(plus(X0,n3),n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_168])]) ).
fof(f1706,plain,
( spl40_167
<=> ! [X0] : plus(n4,X0) = plus(plus(n2,plus(X0,n1)),n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_167])]) ).
fof(f1709,plain,
( ! [X0] : plus(n4,X0) = plus(plus(X0,n3),n1)
| ~ spl40_154
| ~ spl40_157
| ~ spl40_167 ),
inference(forward_demodulation,[],[f1707,f1484]) ).
fof(f1484,plain,
( ! [X0] : plus(X0,n3) = plus(n2,plus(X0,n1))
| ~ spl40_154
| ~ spl40_157 ),
inference(forward_demodulation,[],[f1468,f1311]) ).
fof(f1468,plain,
( ! [X0] : plus(n2,plus(X0,n1)) = plus(plus(n2,X0),n1)
| ~ spl40_154 ),
inference(superposition,[],[f1298,f1298]) ).
fof(f1707,plain,
( ! [X0] : plus(n4,X0) = plus(plus(n2,plus(X0,n1)),n1)
| ~ spl40_167 ),
inference(avatar_component_clause,[],[f1706]) ).
fof(f1708,plain,
spl40_167,
inference(avatar_split_clause,[],[f452,f1706]) ).
fof(f452,plain,
! [X0] : plus(n4,X0) = plus(plus(n2,plus(X0,n1)),n1),
inference(forward_demodulation,[],[f425,f420]) ).
fof(f425,plain,
! [X0] : plus(n4,X0) = plus(plus(plus(plus(X0,n1),n1),n1),n1),
inference(definition_unfolding,[],[f302,f293,f293,f293,f293]) ).
fof(f302,plain,
! [X0] : succ(succ(succ(succ(X0)))) = plus(n4,X0),
inference(cnf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0] : succ(succ(succ(succ(X0)))) = plus(n4,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_plus_4_l) ).
fof(f1677,plain,
( spl40_166
| ~ spl40_154
| ~ spl40_157
| ~ spl40_164 ),
inference(avatar_split_clause,[],[f1668,f1665,f1310,f1297,f1675]) ).
fof(f1675,plain,
( spl40_166
<=> ! [X0] : plus(X0,n4) = plus(plus(X0,n3),n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_166])]) ).
fof(f1665,plain,
( spl40_164
<=> ! [X0] : plus(X0,n4) = plus(plus(n2,plus(X0,n1)),n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_164])]) ).
fof(f1668,plain,
( ! [X0] : plus(X0,n4) = plus(plus(X0,n3),n1)
| ~ spl40_154
| ~ spl40_157
| ~ spl40_164 ),
inference(forward_demodulation,[],[f1666,f1484]) ).
fof(f1666,plain,
( ! [X0] : plus(X0,n4) = plus(plus(n2,plus(X0,n1)),n1)
| ~ spl40_164 ),
inference(avatar_component_clause,[],[f1665]) ).
fof(f1673,plain,
( spl40_165
| ~ spl40_27
| ~ spl40_48 ),
inference(avatar_split_clause,[],[f723,f707,f588,f1670]) ).
fof(f1670,plain,
( spl40_165
<=> leq(n1,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_165])]) ).
fof(f723,plain,
( leq(n1,n3)
| ~ spl40_27
| ~ spl40_48 ),
inference(resolution,[],[f708,f590]) ).
fof(f1667,plain,
spl40_164,
inference(avatar_split_clause,[],[f451,f1665]) ).
fof(f451,plain,
! [X0] : plus(X0,n4) = plus(plus(n2,plus(X0,n1)),n1),
inference(forward_demodulation,[],[f424,f420]) ).
fof(f424,plain,
! [X0] : plus(X0,n4) = plus(plus(plus(plus(X0,n1),n1),n1),n1),
inference(definition_unfolding,[],[f301,f293,f293,f293,f293]) ).
fof(f301,plain,
! [X0] : plus(X0,n4) = succ(succ(succ(succ(X0)))),
inference(cnf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0] : plus(X0,n4) = succ(succ(succ(succ(X0)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_plus_4_r) ).
fof(f1601,plain,
spl40_163,
inference(avatar_split_clause,[],[f435,f1599]) ).
fof(f1599,plain,
( spl40_163
<=> ! [X0,X1] :
( leq(X0,X1)
| ~ leq(plus(X0,n1),plus(X1,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_163])]) ).
fof(f435,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ leq(plus(X0,n1),plus(X1,n1)) ),
inference(definition_unfolding,[],[f341,f293,f293]) ).
fof(f341,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ leq(succ(X0),succ(X1)) ),
inference(cnf_transformation,[],[f198]) ).
fof(f198,plain,
! [X0,X1] :
( ( leq(succ(X0),succ(X1))
| ~ leq(X0,X1) )
& ( leq(X0,X1)
| ~ leq(succ(X0),succ(X1)) ) ),
inference(nnf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0,X1] :
( leq(succ(X0),succ(X1))
<=> leq(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_succ_succ) ).
fof(f1597,plain,
spl40_162,
inference(avatar_split_clause,[],[f434,f1595]) ).
fof(f1595,plain,
( spl40_162
<=> ! [X0,X1] :
( leq(plus(X0,n1),plus(X1,n1))
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_162])]) ).
fof(f434,plain,
! [X0,X1] :
( leq(plus(X0,n1),plus(X1,n1))
| ~ leq(X0,X1) ),
inference(definition_unfolding,[],[f342,f293,f293]) ).
fof(f342,plain,
! [X0,X1] :
( leq(succ(X0),succ(X1))
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f198]) ).
fof(f1593,plain,
spl40_161,
inference(avatar_split_clause,[],[f374,f1591]) ).
fof(f1591,plain,
( spl40_161
<=> ! [X2,X0,X1,X3] : a_select3(tptp_update3(X0,X1,X2,X3),X1,X2) = X3 ),
introduced(avatar_definition,[new_symbols(naming,[spl40_161])]) ).
fof(f374,plain,
! [X2,X3,X0,X1] : a_select3(tptp_update3(X0,X1,X2,X3),X1,X2) = X3,
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0,X1,X2,X3] : a_select3(tptp_update3(X0,X1,X2,X3),X1,X2) = X3,
inference(rectify,[],[f45]) ).
fof(f45,axiom,
! [X0,X6,X23,X16] : a_select3(tptp_update3(X0,X6,X23,X16),X6,X23) = X16,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sel3_update_1) ).
fof(f1520,plain,
( spl40_160
| ~ spl40_25
| ~ spl40_48 ),
inference(avatar_split_clause,[],[f722,f707,f578,f1517]) ).
fof(f1517,plain,
( spl40_160
<=> leq(tptp_minus_1,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_160])]) ).
fof(f722,plain,
( leq(tptp_minus_1,n3)
| ~ spl40_25
| ~ spl40_48 ),
inference(resolution,[],[f708,f580]) ).
fof(f1320,plain,
( spl40_159
| ~ spl40_45
| ~ spl40_149 ),
inference(avatar_split_clause,[],[f1279,f1274,f681,f1318]) ).
fof(f1318,plain,
( spl40_159
<=> ! [X0] :
( ~ leq(tptp_float_0_0,X0)
| ~ leq(X0,tptp_float_0_0)
| tptp_float_0_0 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_159])]) ).
fof(f1274,plain,
( spl40_149
<=> ! [X0] :
( n0 = X0
| ~ leq(X0,n0)
| ~ leq(n0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_149])]) ).
fof(f1279,plain,
( ! [X0] :
( ~ leq(tptp_float_0_0,X0)
| ~ leq(X0,tptp_float_0_0)
| tptp_float_0_0 = X0 )
| ~ spl40_45
| ~ spl40_149 ),
inference(forward_demodulation,[],[f1278,f683]) ).
fof(f1278,plain,
( ! [X0] :
( ~ leq(X0,tptp_float_0_0)
| tptp_float_0_0 = X0
| ~ leq(n0,X0) )
| ~ spl40_45
| ~ spl40_149 ),
inference(forward_demodulation,[],[f1277,f683]) ).
fof(f1277,plain,
( ! [X0] :
( tptp_float_0_0 = X0
| ~ leq(X0,n0)
| ~ leq(n0,X0) )
| ~ spl40_45
| ~ spl40_149 ),
inference(forward_demodulation,[],[f1275,f683]) ).
fof(f1275,plain,
( ! [X0] :
( n0 = X0
| ~ leq(X0,n0)
| ~ leq(n0,X0) )
| ~ spl40_149 ),
inference(avatar_component_clause,[],[f1274]) ).
fof(f1316,plain,
spl40_158,
inference(avatar_split_clause,[],[f450,f1314]) ).
fof(f1314,plain,
( spl40_158
<=> ! [X0] : plus(n3,X0) = plus(plus(n2,X0),n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_158])]) ).
fof(f450,plain,
! [X0] : plus(n3,X0) = plus(plus(n2,X0),n1),
inference(forward_demodulation,[],[f423,f420]) ).
fof(f423,plain,
! [X0] : plus(n3,X0) = plus(plus(plus(X0,n1),n1),n1),
inference(definition_unfolding,[],[f300,f293,f293,f293]) ).
fof(f300,plain,
! [X0] : succ(succ(succ(X0))) = plus(n3,X0),
inference(cnf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0] : succ(succ(succ(X0))) = plus(n3,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_plus_3_l) ).
fof(f1312,plain,
spl40_157,
inference(avatar_split_clause,[],[f449,f1310]) ).
fof(f449,plain,
! [X0] : plus(X0,n3) = plus(plus(n2,X0),n1),
inference(forward_demodulation,[],[f422,f420]) ).
fof(f422,plain,
! [X0] : plus(X0,n3) = plus(plus(plus(X0,n1),n1),n1),
inference(definition_unfolding,[],[f299,f293,f293,f293]) ).
fof(f299,plain,
! [X0] : plus(X0,n3) = succ(succ(succ(X0))),
inference(cnf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0] : plus(X0,n3) = succ(succ(succ(X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_plus_3_r) ).
fof(f1308,plain,
spl40_156,
inference(avatar_split_clause,[],[f421,f1306]) ).
fof(f421,plain,
! [X0] : plus(X0,n2) = plus(plus(X0,n1),n1),
inference(definition_unfolding,[],[f298,f293,f293]) ).
fof(f298,plain,
! [X0] : plus(X0,n2) = succ(succ(X0)),
inference(cnf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0] : plus(X0,n2) = succ(succ(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_plus_2_r) ).
fof(f1304,plain,
( spl40_155
| ~ spl40_30
| ~ spl40_48 ),
inference(avatar_split_clause,[],[f719,f707,f603,f1301]) ).
fof(f1301,plain,
( spl40_155
<=> leq(n1,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_155])]) ).
fof(f719,plain,
( leq(n1,n2)
| ~ spl40_30
| ~ spl40_48 ),
inference(resolution,[],[f708,f605]) ).
fof(f1299,plain,
spl40_154,
inference(avatar_split_clause,[],[f420,f1297]) ).
fof(f1295,plain,
spl40_153,
inference(avatar_split_clause,[],[f345,f1293]) ).
fof(f1293,plain,
( spl40_153
<=> ! [X2,X0,X1] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_153])]) ).
fof(f345,plain,
! [X2,X0,X1] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
! [X0,X1,X2] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(flattening,[],[f138]) ).
fof(f138,plain,
! [X0,X1,X2] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1,X2] :
( ( leq(X1,X2)
& leq(X0,X1) )
=> leq(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_leq) ).
fof(f1291,plain,
spl40_152,
inference(avatar_split_clause,[],[f344,f1289]) ).
fof(f344,plain,
! [X2,X0,X1] :
( gt(X0,X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0,X1,X2] :
( gt(X0,X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1) ),
inference(flattening,[],[f136]) ).
fof(f136,plain,
! [X0,X1,X2] :
( gt(X0,X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1,X2] :
( ( gt(X1,X2)
& gt(X0,X1) )
=> gt(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_gt) ).
fof(f1287,plain,
spl40_151,
inference(avatar_split_clause,[],[f318,f1285]) ).
fof(f1285,plain,
( spl40_151
<=> ! [X0,X1] :
( gt(X1,X0)
| X0 = X1
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_151])]) ).
fof(f318,plain,
! [X0,X1] :
( gt(X1,X0)
| X0 = X1
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0,X1] :
( gt(X1,X0)
| X0 = X1
| ~ leq(X0,X1) ),
inference(flattening,[],[f128]) ).
fof(f128,plain,
! [X0,X1] :
( gt(X1,X0)
| X0 = X1
| ~ leq(X0,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] :
( ( X0 != X1
& leq(X0,X1) )
=> gt(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_gt2) ).
fof(f1283,plain,
spl40_150,
inference(avatar_split_clause,[],[f311,f1281]) ).
fof(f1281,plain,
( spl40_150
<=> ! [X0,X1] :
( X0 = X1
| gt(X1,X0)
| gt(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_150])]) ).
fof(f311,plain,
! [X0,X1] :
( X0 = X1
| gt(X1,X0)
| gt(X0,X1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( X0 = X1
| gt(X1,X0)
| gt(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',totality) ).
fof(f1276,plain,
spl40_149,
inference(avatar_split_clause,[],[f310,f1274]) ).
fof(f310,plain,
! [X0] :
( n0 = X0
| ~ leq(X0,n0)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0] :
( n0 = X0
| ~ leq(X0,n0)
| ~ leq(n0,X0) ),
inference(flattening,[],[f120]) ).
fof(f120,plain,
! [X0] :
( n0 = X0
| ~ leq(X0,n0)
| ~ leq(n0,X0) ),
inference(ennf_transformation,[],[f78]) ).
fof(f78,axiom,
! [X0] :
( ( leq(X0,n0)
& leq(n0,X0) )
=> n0 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finite_domain_0) ).
fof(f1272,plain,
( spl40_148
| ~ spl40_29
| ~ spl40_48 ),
inference(avatar_split_clause,[],[f718,f707,f598,f1269]) ).
fof(f1269,plain,
( spl40_148
<=> leq(tptp_minus_1,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_148])]) ).
fof(f718,plain,
( leq(tptp_minus_1,n2)
| ~ spl40_29
| ~ spl40_48 ),
inference(resolution,[],[f708,f600]) ).
fof(f1267,plain,
( spl40_147
| ~ spl40_32
| ~ spl40_48 ),
inference(avatar_split_clause,[],[f715,f707,f613,f1264]) ).
fof(f1264,plain,
( spl40_147
<=> leq(tptp_minus_1,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_147])]) ).
fof(f715,plain,
( leq(tptp_minus_1,n1)
| ~ spl40_32
| ~ spl40_48 ),
inference(resolution,[],[f708,f615]) ).
fof(f1262,plain,
( spl40_146
| ~ spl40_34
| ~ spl40_45 ),
inference(avatar_split_clause,[],[f694,f681,f623,f1259]) ).
fof(f1259,plain,
( spl40_146
<=> gt(tptp_float_0_0,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_146])]) ).
fof(f694,plain,
( gt(tptp_float_0_0,tptp_minus_1)
| ~ spl40_34
| ~ spl40_45 ),
inference(superposition,[],[f625,f683]) ).
fof(f1178,plain,
( spl40_145
| ~ spl40_33
| ~ spl40_45 ),
inference(avatar_split_clause,[],[f693,f681,f618,f1175]) ).
fof(f1175,plain,
( spl40_145
<=> gt(n1,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_145])]) ).
fof(f693,plain,
( gt(n1,tptp_float_0_0)
| ~ spl40_33
| ~ spl40_45 ),
inference(superposition,[],[f620,f683]) ).
fof(f1173,plain,
( spl40_144
| ~ spl40_45
| ~ spl40_106 ),
inference(avatar_split_clause,[],[f1017,f1014,f681,f1171]) ).
fof(f1171,plain,
( spl40_144
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK39(X0,X1))
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_144])]) ).
fof(f1014,plain,
( spl40_106
<=> ! [X0,X1] :
( leq(n0,sK39(X0,X1))
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_106])]) ).
fof(f1017,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK39(X0,X1))
| ~ sP10(X0,X1) )
| ~ spl40_45
| ~ spl40_106 ),
inference(forward_demodulation,[],[f1015,f683]) ).
fof(f1015,plain,
( ! [X0,X1] :
( leq(n0,sK39(X0,X1))
| ~ sP10(X0,X1) )
| ~ spl40_106 ),
inference(avatar_component_clause,[],[f1014]) ).
fof(f1169,plain,
( spl40_143
| ~ spl40_45
| ~ spl40_104 ),
inference(avatar_split_clause,[],[f1008,f1005,f681,f1167]) ).
fof(f1167,plain,
( spl40_143
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK38(X0,X1))
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_143])]) ).
fof(f1005,plain,
( spl40_104
<=> ! [X0,X1] :
( leq(n0,sK38(X0,X1))
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_104])]) ).
fof(f1008,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK38(X0,X1))
| ~ sP10(X0,X1) )
| ~ spl40_45
| ~ spl40_104 ),
inference(forward_demodulation,[],[f1006,f683]) ).
fof(f1006,plain,
( ! [X0,X1] :
( leq(n0,sK38(X0,X1))
| ~ sP10(X0,X1) )
| ~ spl40_104 ),
inference(avatar_component_clause,[],[f1005]) ).
fof(f1165,plain,
( spl40_142
| ~ spl40_45
| ~ spl40_102 ),
inference(avatar_split_clause,[],[f999,f996,f681,f1163]) ).
fof(f1163,plain,
( spl40_142
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK37(X0,X1))
| ~ sP11(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_142])]) ).
fof(f996,plain,
( spl40_102
<=> ! [X0,X1] :
( leq(n0,sK37(X0,X1))
| ~ sP11(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_102])]) ).
fof(f999,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK37(X0,X1))
| ~ sP11(X0,X1) )
| ~ spl40_45
| ~ spl40_102 ),
inference(forward_demodulation,[],[f997,f683]) ).
fof(f997,plain,
( ! [X0,X1] :
( leq(n0,sK37(X0,X1))
| ~ sP11(X0,X1) )
| ~ spl40_102 ),
inference(avatar_component_clause,[],[f996]) ).
fof(f1161,plain,
( spl40_141
| ~ spl40_45
| ~ spl40_100 ),
inference(avatar_split_clause,[],[f990,f987,f681,f1159]) ).
fof(f1159,plain,
( spl40_141
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK36(X0,X1))
| ~ sP11(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_141])]) ).
fof(f987,plain,
( spl40_100
<=> ! [X0,X1] :
( leq(n0,sK36(X0,X1))
| ~ sP11(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_100])]) ).
fof(f990,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK36(X0,X1))
| ~ sP11(X0,X1) )
| ~ spl40_45
| ~ spl40_100 ),
inference(forward_demodulation,[],[f988,f683]) ).
fof(f988,plain,
( ! [X0,X1] :
( leq(n0,sK36(X0,X1))
| ~ sP11(X0,X1) )
| ~ spl40_100 ),
inference(avatar_component_clause,[],[f987]) ).
fof(f1157,plain,
( spl40_140
| ~ spl40_45
| ~ spl40_98 ),
inference(avatar_split_clause,[],[f981,f978,f681,f1155]) ).
fof(f1155,plain,
( spl40_140
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK35(X0,X1))
| ~ sP12(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_140])]) ).
fof(f978,plain,
( spl40_98
<=> ! [X0,X1] :
( leq(n0,sK35(X0,X1))
| ~ sP12(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_98])]) ).
fof(f981,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK35(X0,X1))
| ~ sP12(X0,X1) )
| ~ spl40_45
| ~ spl40_98 ),
inference(forward_demodulation,[],[f979,f683]) ).
fof(f979,plain,
( ! [X0,X1] :
( leq(n0,sK35(X0,X1))
| ~ sP12(X0,X1) )
| ~ spl40_98 ),
inference(avatar_component_clause,[],[f978]) ).
fof(f1153,plain,
( spl40_139
| ~ spl40_31
| ~ spl40_45 ),
inference(avatar_split_clause,[],[f692,f681,f608,f1150]) ).
fof(f1150,plain,
( spl40_139
<=> gt(n2,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_139])]) ).
fof(f692,plain,
( gt(n2,tptp_float_0_0)
| ~ spl40_31
| ~ spl40_45 ),
inference(superposition,[],[f610,f683]) ).
fof(f1148,plain,
( spl40_138
| ~ spl40_45
| ~ spl40_96 ),
inference(avatar_split_clause,[],[f972,f969,f681,f1146]) ).
fof(f1146,plain,
( spl40_138
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK34(X0,X1))
| ~ sP12(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_138])]) ).
fof(f969,plain,
( spl40_96
<=> ! [X0,X1] :
( leq(n0,sK34(X0,X1))
| ~ sP12(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_96])]) ).
fof(f972,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK34(X0,X1))
| ~ sP12(X0,X1) )
| ~ spl40_45
| ~ spl40_96 ),
inference(forward_demodulation,[],[f970,f683]) ).
fof(f970,plain,
( ! [X0,X1] :
( leq(n0,sK34(X0,X1))
| ~ sP12(X0,X1) )
| ~ spl40_96 ),
inference(avatar_component_clause,[],[f969]) ).
fof(f1144,plain,
( spl40_137
| ~ spl40_45
| ~ spl40_94 ),
inference(avatar_split_clause,[],[f963,f960,f681,f1142]) ).
fof(f1142,plain,
( spl40_137
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK31(X0,X1))
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_137])]) ).
fof(f960,plain,
( spl40_94
<=> ! [X0,X1] :
( leq(n0,sK31(X0,X1))
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_94])]) ).
fof(f963,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK31(X0,X1))
| ~ sP8(X0,X1) )
| ~ spl40_45
| ~ spl40_94 ),
inference(forward_demodulation,[],[f961,f683]) ).
fof(f961,plain,
( ! [X0,X1] :
( leq(n0,sK31(X0,X1))
| ~ sP8(X0,X1) )
| ~ spl40_94 ),
inference(avatar_component_clause,[],[f960]) ).
fof(f1140,plain,
( spl40_136
| ~ spl40_45
| ~ spl40_92 ),
inference(avatar_split_clause,[],[f954,f951,f681,f1138]) ).
fof(f1138,plain,
( spl40_136
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK30(X0,X1))
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_136])]) ).
fof(f951,plain,
( spl40_92
<=> ! [X0,X1] :
( leq(n0,sK30(X0,X1))
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_92])]) ).
fof(f954,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK30(X0,X1))
| ~ sP8(X0,X1) )
| ~ spl40_45
| ~ spl40_92 ),
inference(forward_demodulation,[],[f952,f683]) ).
fof(f952,plain,
( ! [X0,X1] :
( leq(n0,sK30(X0,X1))
| ~ sP8(X0,X1) )
| ~ spl40_92 ),
inference(avatar_component_clause,[],[f951]) ).
fof(f1136,plain,
( spl40_135
| ~ spl40_45
| ~ spl40_90 ),
inference(avatar_split_clause,[],[f945,f942,f681,f1134]) ).
fof(f1134,plain,
( spl40_135
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK28(X0,X1))
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_135])]) ).
fof(f942,plain,
( spl40_90
<=> ! [X0,X1] :
( leq(n0,sK28(X0,X1))
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_90])]) ).
fof(f945,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK28(X0,X1))
| ~ sP7(X0,X1) )
| ~ spl40_45
| ~ spl40_90 ),
inference(forward_demodulation,[],[f943,f683]) ).
fof(f943,plain,
( ! [X0,X1] :
( leq(n0,sK28(X0,X1))
| ~ sP7(X0,X1) )
| ~ spl40_90 ),
inference(avatar_component_clause,[],[f942]) ).
fof(f1132,plain,
( spl40_134
| ~ spl40_45
| ~ spl40_88 ),
inference(avatar_split_clause,[],[f936,f933,f681,f1130]) ).
fof(f1130,plain,
( spl40_134
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK27(X0,X1))
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_134])]) ).
fof(f933,plain,
( spl40_88
<=> ! [X0,X1] :
( leq(n0,sK27(X0,X1))
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_88])]) ).
fof(f936,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK27(X0,X1))
| ~ sP7(X0,X1) )
| ~ spl40_45
| ~ spl40_88 ),
inference(forward_demodulation,[],[f934,f683]) ).
fof(f934,plain,
( ! [X0,X1] :
( leq(n0,sK27(X0,X1))
| ~ sP7(X0,X1) )
| ~ spl40_88 ),
inference(avatar_component_clause,[],[f933]) ).
fof(f1128,plain,
( spl40_133
| ~ spl40_28
| ~ spl40_45 ),
inference(avatar_split_clause,[],[f691,f681,f593,f1125]) ).
fof(f1125,plain,
( spl40_133
<=> gt(n3,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_133])]) ).
fof(f691,plain,
( gt(n3,tptp_float_0_0)
| ~ spl40_28
| ~ spl40_45 ),
inference(superposition,[],[f595,f683]) ).
fof(f1123,plain,
( spl40_132
| ~ spl40_45
| ~ spl40_86 ),
inference(avatar_split_clause,[],[f927,f924,f681,f1121]) ).
fof(f1121,plain,
( spl40_132
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK26(X0,X1))
| ~ sP5(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_132])]) ).
fof(f924,plain,
( spl40_86
<=> ! [X0,X1] :
( leq(n0,sK26(X0,X1))
| ~ sP5(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_86])]) ).
fof(f927,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK26(X0,X1))
| ~ sP5(X0,X1) )
| ~ spl40_45
| ~ spl40_86 ),
inference(forward_demodulation,[],[f925,f683]) ).
fof(f925,plain,
( ! [X0,X1] :
( leq(n0,sK26(X0,X1))
| ~ sP5(X0,X1) )
| ~ spl40_86 ),
inference(avatar_component_clause,[],[f924]) ).
fof(f1119,plain,
( spl40_131
| ~ spl40_45
| ~ spl40_83 ),
inference(avatar_split_clause,[],[f913,f910,f681,f1117]) ).
fof(f1117,plain,
( spl40_131
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK25(X0,X1))
| ~ sP5(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_131])]) ).
fof(f910,plain,
( spl40_83
<=> ! [X0,X1] :
( leq(n0,sK25(X0,X1))
| ~ sP5(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_83])]) ).
fof(f913,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK25(X0,X1))
| ~ sP5(X0,X1) )
| ~ spl40_45
| ~ spl40_83 ),
inference(forward_demodulation,[],[f911,f683]) ).
fof(f911,plain,
( ! [X0,X1] :
( leq(n0,sK25(X0,X1))
| ~ sP5(X0,X1) )
| ~ spl40_83 ),
inference(avatar_component_clause,[],[f910]) ).
fof(f1115,plain,
( spl40_130
| ~ spl40_45
| ~ spl40_81 ),
inference(avatar_split_clause,[],[f904,f901,f681,f1113]) ).
fof(f1113,plain,
( spl40_130
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK24(X0,X1))
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_130])]) ).
fof(f901,plain,
( spl40_81
<=> ! [X0,X1] :
( leq(n0,sK24(X0,X1))
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_81])]) ).
fof(f904,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK24(X0,X1))
| ~ sP6(X0,X1) )
| ~ spl40_45
| ~ spl40_81 ),
inference(forward_demodulation,[],[f902,f683]) ).
fof(f902,plain,
( ! [X0,X1] :
( leq(n0,sK24(X0,X1))
| ~ sP6(X0,X1) )
| ~ spl40_81 ),
inference(avatar_component_clause,[],[f901]) ).
fof(f1111,plain,
( spl40_129
| ~ spl40_45
| ~ spl40_79 ),
inference(avatar_split_clause,[],[f895,f892,f681,f1109]) ).
fof(f1109,plain,
( spl40_129
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK23(X0,X1))
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_129])]) ).
fof(f892,plain,
( spl40_79
<=> ! [X0,X1] :
( leq(n0,sK23(X0,X1))
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_79])]) ).
fof(f895,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK23(X0,X1))
| ~ sP6(X0,X1) )
| ~ spl40_45
| ~ spl40_79 ),
inference(forward_demodulation,[],[f893,f683]) ).
fof(f893,plain,
( ! [X0,X1] :
( leq(n0,sK23(X0,X1))
| ~ sP6(X0,X1) )
| ~ spl40_79 ),
inference(avatar_component_clause,[],[f892]) ).
fof(f1107,plain,
( spl40_128
| ~ spl40_45
| ~ spl40_77 ),
inference(avatar_split_clause,[],[f886,f883,f681,f1105]) ).
fof(f1105,plain,
( spl40_128
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK22(X0,X1))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_128])]) ).
fof(f883,plain,
( spl40_77
<=> ! [X0,X1] :
( leq(n0,sK22(X0,X1))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_77])]) ).
fof(f886,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK22(X0,X1))
| ~ sP3(X0,X1) )
| ~ spl40_45
| ~ spl40_77 ),
inference(forward_demodulation,[],[f884,f683]) ).
fof(f884,plain,
( ! [X0,X1] :
( leq(n0,sK22(X0,X1))
| ~ sP3(X0,X1) )
| ~ spl40_77 ),
inference(avatar_component_clause,[],[f883]) ).
fof(f1103,plain,
( spl40_127
| ~ spl40_24
| ~ spl40_45 ),
inference(avatar_split_clause,[],[f690,f681,f573,f1100]) ).
fof(f1100,plain,
( spl40_127
<=> gt(n4,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_127])]) ).
fof(f690,plain,
( gt(n4,tptp_float_0_0)
| ~ spl40_24
| ~ spl40_45 ),
inference(superposition,[],[f575,f683]) ).
fof(f1098,plain,
( spl40_126
| ~ spl40_45
| ~ spl40_75 ),
inference(avatar_split_clause,[],[f877,f874,f681,f1096]) ).
fof(f1096,plain,
( spl40_126
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK21(X0,X1))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_126])]) ).
fof(f874,plain,
( spl40_75
<=> ! [X0,X1] :
( leq(n0,sK21(X0,X1))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_75])]) ).
fof(f877,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK21(X0,X1))
| ~ sP3(X0,X1) )
| ~ spl40_45
| ~ spl40_75 ),
inference(forward_demodulation,[],[f875,f683]) ).
fof(f875,plain,
( ! [X0,X1] :
( leq(n0,sK21(X0,X1))
| ~ sP3(X0,X1) )
| ~ spl40_75 ),
inference(avatar_component_clause,[],[f874]) ).
fof(f1094,plain,
( spl40_125
| ~ spl40_45
| ~ spl40_72 ),
inference(avatar_split_clause,[],[f863,f860,f681,f1092]) ).
fof(f1092,plain,
( spl40_125
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK20(X0,X1))
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_125])]) ).
fof(f860,plain,
( spl40_72
<=> ! [X0,X1] :
( leq(n0,sK20(X0,X1))
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_72])]) ).
fof(f863,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK20(X0,X1))
| ~ sP4(X0,X1) )
| ~ spl40_45
| ~ spl40_72 ),
inference(forward_demodulation,[],[f861,f683]) ).
fof(f861,plain,
( ! [X0,X1] :
( leq(n0,sK20(X0,X1))
| ~ sP4(X0,X1) )
| ~ spl40_72 ),
inference(avatar_component_clause,[],[f860]) ).
fof(f1090,plain,
( spl40_124
| ~ spl40_45
| ~ spl40_70 ),
inference(avatar_split_clause,[],[f854,f851,f681,f1088]) ).
fof(f1088,plain,
( spl40_124
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK19(X0,X1))
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_124])]) ).
fof(f851,plain,
( spl40_70
<=> ! [X0,X1] :
( leq(n0,sK19(X0,X1))
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_70])]) ).
fof(f854,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK19(X0,X1))
| ~ sP4(X0,X1) )
| ~ spl40_45
| ~ spl40_70 ),
inference(forward_demodulation,[],[f852,f683]) ).
fof(f852,plain,
( ! [X0,X1] :
( leq(n0,sK19(X0,X1))
| ~ sP4(X0,X1) )
| ~ spl40_70 ),
inference(avatar_component_clause,[],[f851]) ).
fof(f1086,plain,
( spl40_123
| ~ spl40_45
| ~ spl40_67 ),
inference(avatar_split_clause,[],[f841,f838,f681,f1084]) ).
fof(f1084,plain,
( spl40_123
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK18(X0,X1))
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_123])]) ).
fof(f838,plain,
( spl40_67
<=> ! [X0,X1] :
( leq(n0,sK18(X0,X1))
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_67])]) ).
fof(f841,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK18(X0,X1))
| ~ sP2(X0,X1) )
| ~ spl40_45
| ~ spl40_67 ),
inference(forward_demodulation,[],[f839,f683]) ).
fof(f839,plain,
( ! [X0,X1] :
( leq(n0,sK18(X0,X1))
| ~ sP2(X0,X1) )
| ~ spl40_67 ),
inference(avatar_component_clause,[],[f838]) ).
fof(f1082,plain,
( spl40_122
| ~ spl40_45
| ~ spl40_65 ),
inference(avatar_split_clause,[],[f832,f829,f681,f1080]) ).
fof(f1080,plain,
( spl40_122
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK17(X0,X1))
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_122])]) ).
fof(f829,plain,
( spl40_65
<=> ! [X0,X1] :
( leq(n0,sK17(X0,X1))
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_65])]) ).
fof(f832,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK17(X0,X1))
| ~ sP2(X0,X1) )
| ~ spl40_45
| ~ spl40_65 ),
inference(forward_demodulation,[],[f830,f683]) ).
fof(f830,plain,
( ! [X0,X1] :
( leq(n0,sK17(X0,X1))
| ~ sP2(X0,X1) )
| ~ spl40_65 ),
inference(avatar_component_clause,[],[f829]) ).
fof(f1078,plain,
( spl40_121
| ~ spl40_19
| ~ spl40_45 ),
inference(avatar_split_clause,[],[f689,f681,f548,f1075]) ).
fof(f1075,plain,
( spl40_121
<=> gt(n5,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_121])]) ).
fof(f689,plain,
( gt(n5,tptp_float_0_0)
| ~ spl40_19
| ~ spl40_45 ),
inference(superposition,[],[f550,f683]) ).
fof(f1073,plain,
( spl40_120
| ~ spl40_45
| ~ spl40_63 ),
inference(avatar_split_clause,[],[f823,f820,f681,f1071]) ).
fof(f1071,plain,
( spl40_120
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK16(X0,X1))
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_120])]) ).
fof(f820,plain,
( spl40_63
<=> ! [X0,X1] :
( leq(n0,sK16(X0,X1))
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_63])]) ).
fof(f823,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK16(X0,X1))
| ~ sP1(X0,X1) )
| ~ spl40_45
| ~ spl40_63 ),
inference(forward_demodulation,[],[f821,f683]) ).
fof(f821,plain,
( ! [X0,X1] :
( leq(n0,sK16(X0,X1))
| ~ sP1(X0,X1) )
| ~ spl40_63 ),
inference(avatar_component_clause,[],[f820]) ).
fof(f1069,plain,
( spl40_119
| ~ spl40_45
| ~ spl40_60 ),
inference(avatar_split_clause,[],[f809,f806,f681,f1067]) ).
fof(f1067,plain,
( spl40_119
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK15(X0,X1))
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_119])]) ).
fof(f806,plain,
( spl40_60
<=> ! [X0,X1] :
( leq(n0,sK15(X0,X1))
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_60])]) ).
fof(f809,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK15(X0,X1))
| ~ sP1(X0,X1) )
| ~ spl40_45
| ~ spl40_60 ),
inference(forward_demodulation,[],[f807,f683]) ).
fof(f807,plain,
( ! [X0,X1] :
( leq(n0,sK15(X0,X1))
| ~ sP1(X0,X1) )
| ~ spl40_60 ),
inference(avatar_component_clause,[],[f806]) ).
fof(f1065,plain,
( spl40_118
| ~ spl40_45
| ~ spl40_58 ),
inference(avatar_split_clause,[],[f800,f797,f681,f1063]) ).
fof(f1063,plain,
( spl40_118
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK14(X0,X1))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_118])]) ).
fof(f797,plain,
( spl40_58
<=> ! [X0,X1] :
( leq(n0,sK14(X0,X1))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_58])]) ).
fof(f800,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK14(X0,X1))
| ~ sP0(X0,X1) )
| ~ spl40_45
| ~ spl40_58 ),
inference(forward_demodulation,[],[f798,f683]) ).
fof(f798,plain,
( ! [X0,X1] :
( leq(n0,sK14(X0,X1))
| ~ sP0(X0,X1) )
| ~ spl40_58 ),
inference(avatar_component_clause,[],[f797]) ).
fof(f1061,plain,
( spl40_117
| ~ spl40_45
| ~ spl40_56 ),
inference(avatar_split_clause,[],[f791,f788,f681,f1059]) ).
fof(f1059,plain,
( spl40_117
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK13(X0,X1))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_117])]) ).
fof(f788,plain,
( spl40_56
<=> ! [X0,X1] :
( leq(n0,sK13(X0,X1))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_56])]) ).
fof(f791,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK13(X0,X1))
| ~ sP0(X0,X1) )
| ~ spl40_45
| ~ spl40_56 ),
inference(forward_demodulation,[],[f789,f683]) ).
fof(f789,plain,
( ! [X0,X1] :
( leq(n0,sK13(X0,X1))
| ~ sP0(X0,X1) )
| ~ spl40_56 ),
inference(avatar_component_clause,[],[f788]) ).
fof(f1057,plain,
( spl40_116
| ~ spl40_45
| ~ spl40_55 ),
inference(avatar_split_clause,[],[f786,f783,f681,f1055]) ).
fof(f1055,plain,
( spl40_116
<=> ! [X0,X1] :
( leq(tptp_float_0_0,X1)
| ~ leq(minus(X0,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_116])]) ).
fof(f783,plain,
( spl40_55
<=> ! [X0,X1] :
( leq(n0,X1)
| ~ leq(minus(X0,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_55])]) ).
fof(f786,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,X1)
| ~ leq(minus(X0,X1),X0) )
| ~ spl40_45
| ~ spl40_55 ),
inference(forward_demodulation,[],[f784,f683]) ).
fof(f784,plain,
( ! [X0,X1] :
( leq(n0,X1)
| ~ leq(minus(X0,X1),X0) )
| ~ spl40_55 ),
inference(avatar_component_clause,[],[f783]) ).
fof(f1053,plain,
( spl40_115
| ~ spl40_45
| ~ spl40_54 ),
inference(avatar_split_clause,[],[f781,f778,f681,f1051]) ).
fof(f1051,plain,
( spl40_115
<=> ! [X0,X1] :
( ~ leq(tptp_float_0_0,X0)
| leq(uniform_int_rnd(X1,X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_115])]) ).
fof(f778,plain,
( spl40_54
<=> ! [X0,X1] :
( leq(uniform_int_rnd(X1,X0),X0)
| ~ leq(n0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_54])]) ).
fof(f781,plain,
( ! [X0,X1] :
( ~ leq(tptp_float_0_0,X0)
| leq(uniform_int_rnd(X1,X0),X0) )
| ~ spl40_45
| ~ spl40_54 ),
inference(forward_demodulation,[],[f779,f683]) ).
fof(f779,plain,
( ! [X0,X1] :
( leq(uniform_int_rnd(X1,X0),X0)
| ~ leq(n0,X0) )
| ~ spl40_54 ),
inference(avatar_component_clause,[],[f778]) ).
fof(f1049,plain,
( spl40_114
| ~ spl40_45
| ~ spl40_53 ),
inference(avatar_split_clause,[],[f776,f772,f681,f1047]) ).
fof(f1047,plain,
( spl40_114
<=> ! [X0,X1] :
( ~ leq(tptp_float_0_0,X0)
| leq(tptp_float_0_0,uniform_int_rnd(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_114])]) ).
fof(f772,plain,
( spl40_53
<=> ! [X0,X1] :
( leq(n0,uniform_int_rnd(X1,X0))
| ~ leq(n0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_53])]) ).
fof(f776,plain,
( ! [X0,X1] :
( ~ leq(tptp_float_0_0,X0)
| leq(tptp_float_0_0,uniform_int_rnd(X1,X0)) )
| ~ spl40_45
| ~ spl40_53 ),
inference(forward_demodulation,[],[f775,f683]) ).
fof(f775,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,uniform_int_rnd(X1,X0))
| ~ leq(n0,X0) )
| ~ spl40_45
| ~ spl40_53 ),
inference(forward_demodulation,[],[f773,f683]) ).
fof(f773,plain,
( ! [X0,X1] :
( leq(n0,uniform_int_rnd(X1,X0))
| ~ leq(n0,X0) )
| ~ spl40_53 ),
inference(avatar_component_clause,[],[f772]) ).
fof(f1045,plain,
spl40_113,
inference(avatar_split_clause,[],[f433,f1043]) ).
fof(f1043,plain,
( spl40_113
<=> ! [X0,X1] :
( gt(X1,X0)
| ~ leq(X0,minus(X1,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_113])]) ).
fof(f433,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(X0,minus(X1,n1)) ),
inference(definition_unfolding,[],[f339,f295]) ).
fof(f295,plain,
! [X0] : minus(X0,n1) = pred(X0),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0] : minus(X0,n1) = pred(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pred_minus_1) ).
fof(f339,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(X0,pred(X1)) ),
inference(cnf_transformation,[],[f197]) ).
fof(f197,plain,
! [X0,X1] :
( ( leq(X0,pred(X1))
| ~ gt(X1,X0) )
& ( gt(X1,X0)
| ~ leq(X0,pred(X1)) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1] :
( leq(X0,pred(X1))
<=> gt(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_gt_pred) ).
fof(f1041,plain,
spl40_112,
inference(avatar_split_clause,[],[f432,f1039]) ).
fof(f1039,plain,
( spl40_112
<=> ! [X0,X1] :
( leq(X0,minus(X1,n1))
| ~ gt(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_112])]) ).
fof(f432,plain,
! [X0,X1] :
( leq(X0,minus(X1,n1))
| ~ gt(X1,X0) ),
inference(definition_unfolding,[],[f340,f295]) ).
fof(f340,plain,
! [X0,X1] :
( leq(X0,pred(X1))
| ~ gt(X1,X0) ),
inference(cnf_transformation,[],[f197]) ).
fof(f1037,plain,
spl40_111,
inference(avatar_split_clause,[],[f431,f1035]) ).
fof(f431,plain,
! [X0,X1] :
( gt(plus(X1,n1),X0)
| ~ leq(X0,X1) ),
inference(definition_unfolding,[],[f337,f293]) ).
fof(f337,plain,
! [X0,X1] :
( gt(succ(X1),X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f196]) ).
fof(f196,plain,
! [X0,X1] :
( ( leq(X0,X1)
| ~ gt(succ(X1),X0) )
& ( gt(succ(X1),X0)
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> gt(succ(X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_succ_gt_equiv) ).
fof(f1033,plain,
spl40_110,
inference(avatar_split_clause,[],[f430,f1031]) ).
fof(f430,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ gt(plus(X1,n1),X0) ),
inference(definition_unfolding,[],[f338,f293]) ).
fof(f338,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ gt(succ(X1),X0) ),
inference(cnf_transformation,[],[f196]) ).
fof(f1029,plain,
spl40_109,
inference(avatar_split_clause,[],[f429,f1027]) ).
fof(f429,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(plus(X0,n1),X1) ),
inference(definition_unfolding,[],[f316,f293]) ).
fof(f316,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(succ(X0),X1) ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(succ(X0),X1) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,axiom,
! [X0,X1] :
( leq(succ(X0),X1)
=> gt(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_succ_gt) ).
fof(f1025,plain,
spl40_108,
inference(avatar_split_clause,[],[f428,f1023]) ).
fof(f428,plain,
! [X0,X1] :
( leq(X0,plus(X1,n1))
| ~ leq(X0,X1) ),
inference(definition_unfolding,[],[f315,f293]) ).
fof(f315,plain,
! [X0,X1] :
( leq(X0,succ(X1))
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0,X1] :
( leq(X0,succ(X1))
| ~ leq(X0,X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0,X1] :
( leq(X0,X1)
=> leq(X0,succ(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_succ) ).
fof(f1021,plain,
spl40_107,
inference(avatar_split_clause,[],[f407,f1019]) ).
fof(f1019,plain,
( spl40_107
<=> ! [X0,X1] :
( leq(sK39(X0,X1),X1)
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_107])]) ).
fof(f407,plain,
! [X0,X1] :
( leq(sK39(X0,X1),X1)
| ~ sP10(X0,X1) ),
inference(cnf_transformation,[],[f244]) ).
fof(f1016,plain,
spl40_106,
inference(avatar_split_clause,[],[f406,f1014]) ).
fof(f406,plain,
! [X0,X1] :
( leq(n0,sK39(X0,X1))
| ~ sP10(X0,X1) ),
inference(cnf_transformation,[],[f244]) ).
fof(f1012,plain,
spl40_105,
inference(avatar_split_clause,[],[f405,f1010]) ).
fof(f1010,plain,
( spl40_105
<=> ! [X0,X1] :
( leq(sK38(X0,X1),X1)
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_105])]) ).
fof(f405,plain,
! [X0,X1] :
( leq(sK38(X0,X1),X1)
| ~ sP10(X0,X1) ),
inference(cnf_transformation,[],[f244]) ).
fof(f1007,plain,
spl40_104,
inference(avatar_split_clause,[],[f404,f1005]) ).
fof(f404,plain,
! [X0,X1] :
( leq(n0,sK38(X0,X1))
| ~ sP10(X0,X1) ),
inference(cnf_transformation,[],[f244]) ).
fof(f1003,plain,
spl40_103,
inference(avatar_split_clause,[],[f402,f1001]) ).
fof(f1001,plain,
( spl40_103
<=> ! [X0,X1] :
( leq(sK37(X0,X1),X1)
| ~ sP11(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_103])]) ).
fof(f402,plain,
! [X0,X1] :
( leq(sK37(X0,X1),X1)
| ~ sP11(X0,X1) ),
inference(cnf_transformation,[],[f240]) ).
fof(f998,plain,
spl40_102,
inference(avatar_split_clause,[],[f401,f996]) ).
fof(f401,plain,
! [X0,X1] :
( leq(n0,sK37(X0,X1))
| ~ sP11(X0,X1) ),
inference(cnf_transformation,[],[f240]) ).
fof(f994,plain,
spl40_101,
inference(avatar_split_clause,[],[f400,f992]) ).
fof(f992,plain,
( spl40_101
<=> ! [X0,X1] :
( leq(sK36(X0,X1),X1)
| ~ sP11(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_101])]) ).
fof(f400,plain,
! [X0,X1] :
( leq(sK36(X0,X1),X1)
| ~ sP11(X0,X1) ),
inference(cnf_transformation,[],[f240]) ).
fof(f989,plain,
spl40_100,
inference(avatar_split_clause,[],[f399,f987]) ).
fof(f399,plain,
! [X0,X1] :
( leq(n0,sK36(X0,X1))
| ~ sP11(X0,X1) ),
inference(cnf_transformation,[],[f240]) ).
fof(f985,plain,
spl40_99,
inference(avatar_split_clause,[],[f397,f983]) ).
fof(f983,plain,
( spl40_99
<=> ! [X0,X1] :
( leq(sK35(X0,X1),X1)
| ~ sP12(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_99])]) ).
fof(f397,plain,
! [X0,X1] :
( leq(sK35(X0,X1),X1)
| ~ sP12(X0,X1) ),
inference(cnf_transformation,[],[f236]) ).
fof(f980,plain,
spl40_98,
inference(avatar_split_clause,[],[f396,f978]) ).
fof(f396,plain,
! [X0,X1] :
( leq(n0,sK35(X0,X1))
| ~ sP12(X0,X1) ),
inference(cnf_transformation,[],[f236]) ).
fof(f976,plain,
spl40_97,
inference(avatar_split_clause,[],[f395,f974]) ).
fof(f974,plain,
( spl40_97
<=> ! [X0,X1] :
( leq(sK34(X0,X1),X1)
| ~ sP12(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_97])]) ).
fof(f395,plain,
! [X0,X1] :
( leq(sK34(X0,X1),X1)
| ~ sP12(X0,X1) ),
inference(cnf_transformation,[],[f236]) ).
fof(f971,plain,
spl40_96,
inference(avatar_split_clause,[],[f394,f969]) ).
fof(f394,plain,
! [X0,X1] :
( leq(n0,sK34(X0,X1))
| ~ sP12(X0,X1) ),
inference(cnf_transformation,[],[f236]) ).
fof(f967,plain,
spl40_95,
inference(avatar_split_clause,[],[f382,f965]) ).
fof(f965,plain,
( spl40_95
<=> ! [X0,X1] :
( leq(sK31(X0,X1),X1)
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_95])]) ).
fof(f382,plain,
! [X0,X1] :
( leq(sK31(X0,X1),X1)
| ~ sP8(X0,X1) ),
inference(cnf_transformation,[],[f227]) ).
fof(f962,plain,
spl40_94,
inference(avatar_split_clause,[],[f381,f960]) ).
fof(f381,plain,
! [X0,X1] :
( leq(n0,sK31(X0,X1))
| ~ sP8(X0,X1) ),
inference(cnf_transformation,[],[f227]) ).
fof(f958,plain,
spl40_93,
inference(avatar_split_clause,[],[f380,f956]) ).
fof(f956,plain,
( spl40_93
<=> ! [X0,X1] :
( leq(sK30(X0,X1),X1)
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_93])]) ).
fof(f380,plain,
! [X0,X1] :
( leq(sK30(X0,X1),X1)
| ~ sP8(X0,X1) ),
inference(cnf_transformation,[],[f227]) ).
fof(f953,plain,
spl40_92,
inference(avatar_split_clause,[],[f379,f951]) ).
fof(f379,plain,
! [X0,X1] :
( leq(n0,sK30(X0,X1))
| ~ sP8(X0,X1) ),
inference(cnf_transformation,[],[f227]) ).
fof(f949,plain,
spl40_91,
inference(avatar_split_clause,[],[f371,f947]) ).
fof(f947,plain,
( spl40_91
<=> ! [X0,X1] :
( leq(sK28(X0,X1),X1)
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_91])]) ).
fof(f371,plain,
! [X0,X1] :
( leq(sK28(X0,X1),X1)
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f220]) ).
fof(f944,plain,
spl40_90,
inference(avatar_split_clause,[],[f370,f942]) ).
fof(f370,plain,
! [X0,X1] :
( leq(n0,sK28(X0,X1))
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f220]) ).
fof(f940,plain,
spl40_89,
inference(avatar_split_clause,[],[f369,f938]) ).
fof(f938,plain,
( spl40_89
<=> ! [X0,X1] :
( leq(sK27(X0,X1),X1)
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_89])]) ).
fof(f369,plain,
! [X0,X1] :
( leq(sK27(X0,X1),X1)
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f220]) ).
fof(f935,plain,
spl40_88,
inference(avatar_split_clause,[],[f368,f933]) ).
fof(f368,plain,
! [X0,X1] :
( leq(n0,sK27(X0,X1))
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f220]) ).
fof(f931,plain,
spl40_87,
inference(avatar_split_clause,[],[f365,f929]) ).
fof(f929,plain,
( spl40_87
<=> ! [X0,X1] :
( leq(sK26(X0,X1),X1)
| ~ sP5(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_87])]) ).
fof(f365,plain,
! [X0,X1] :
( leq(sK26(X0,X1),X1)
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f215]) ).
fof(f926,plain,
spl40_86,
inference(avatar_split_clause,[],[f364,f924]) ).
fof(f364,plain,
! [X0,X1] :
( leq(n0,sK26(X0,X1))
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f215]) ).
fof(f922,plain,
spl40_85,
inference(avatar_split_clause,[],[f363,f920]) ).
fof(f920,plain,
( spl40_85
<=> ! [X0,X1] :
( leq(sK25(X0,X1),X1)
| ~ sP5(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_85])]) ).
fof(f363,plain,
! [X0,X1] :
( leq(sK25(X0,X1),X1)
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f215]) ).
fof(f918,plain,
( spl40_84
| ~ spl40_12
| ~ spl40_45 ),
inference(avatar_split_clause,[],[f688,f681,f513,f915]) ).
fof(f915,plain,
( spl40_84
<=> use = a_select3(u_defuse,n2,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_84])]) ).
fof(f688,plain,
( use = a_select3(u_defuse,n2,tptp_float_0_0)
| ~ spl40_12
| ~ spl40_45 ),
inference(superposition,[],[f515,f683]) ).
fof(f515,plain,
( use = a_select3(u_defuse,n2,n0)
| ~ spl40_12 ),
inference(avatar_component_clause,[],[f513]) ).
fof(f912,plain,
spl40_83,
inference(avatar_split_clause,[],[f362,f910]) ).
fof(f362,plain,
! [X0,X1] :
( leq(n0,sK25(X0,X1))
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f215]) ).
fof(f908,plain,
spl40_82,
inference(avatar_split_clause,[],[f360,f906]) ).
fof(f906,plain,
( spl40_82
<=> ! [X0,X1] :
( leq(sK24(X0,X1),X1)
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_82])]) ).
fof(f360,plain,
! [X0,X1] :
( leq(sK24(X0,X1),X1)
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f211]) ).
fof(f903,plain,
spl40_81,
inference(avatar_split_clause,[],[f359,f901]) ).
fof(f359,plain,
! [X0,X1] :
( leq(n0,sK24(X0,X1))
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f211]) ).
fof(f899,plain,
spl40_80,
inference(avatar_split_clause,[],[f358,f897]) ).
fof(f897,plain,
( spl40_80
<=> ! [X0,X1] :
( leq(sK23(X0,X1),X1)
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_80])]) ).
fof(f358,plain,
! [X0,X1] :
( leq(sK23(X0,X1),X1)
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f211]) ).
fof(f894,plain,
spl40_79,
inference(avatar_split_clause,[],[f357,f892]) ).
fof(f357,plain,
! [X0,X1] :
( leq(n0,sK23(X0,X1))
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f211]) ).
fof(f890,plain,
spl40_78,
inference(avatar_split_clause,[],[f354,f888]) ).
fof(f888,plain,
( spl40_78
<=> ! [X0,X1] :
( leq(sK22(X0,X1),X1)
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_78])]) ).
fof(f354,plain,
! [X0,X1] :
( leq(sK22(X0,X1),X1)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f206]) ).
fof(f885,plain,
spl40_77,
inference(avatar_split_clause,[],[f353,f883]) ).
fof(f353,plain,
! [X0,X1] :
( leq(n0,sK22(X0,X1))
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f206]) ).
fof(f881,plain,
spl40_76,
inference(avatar_split_clause,[],[f352,f879]) ).
fof(f879,plain,
( spl40_76
<=> ! [X0,X1] :
( leq(sK21(X0,X1),X1)
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_76])]) ).
fof(f352,plain,
! [X0,X1] :
( leq(sK21(X0,X1),X1)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f206]) ).
fof(f876,plain,
spl40_75,
inference(avatar_split_clause,[],[f351,f874]) ).
fof(f351,plain,
! [X0,X1] :
( leq(n0,sK21(X0,X1))
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f206]) ).
fof(f872,plain,
spl40_74,
inference(avatar_split_clause,[],[f349,f870]) ).
fof(f870,plain,
( spl40_74
<=> ! [X0,X1] :
( leq(sK20(X0,X1),X1)
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_74])]) ).
fof(f349,plain,
! [X0,X1] :
( leq(sK20(X0,X1),X1)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f202]) ).
fof(f868,plain,
( spl40_73
| ~ spl40_11
| ~ spl40_45 ),
inference(avatar_split_clause,[],[f687,f681,f508,f865]) ).
fof(f865,plain,
( spl40_73
<=> use = a_select3(u_defuse,n1,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_73])]) ).
fof(f687,plain,
( use = a_select3(u_defuse,n1,tptp_float_0_0)
| ~ spl40_11
| ~ spl40_45 ),
inference(superposition,[],[f510,f683]) ).
fof(f510,plain,
( use = a_select3(u_defuse,n1,n0)
| ~ spl40_11 ),
inference(avatar_component_clause,[],[f508]) ).
fof(f862,plain,
spl40_72,
inference(avatar_split_clause,[],[f348,f860]) ).
fof(f348,plain,
! [X0,X1] :
( leq(n0,sK20(X0,X1))
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f202]) ).
fof(f858,plain,
spl40_71,
inference(avatar_split_clause,[],[f347,f856]) ).
fof(f856,plain,
( spl40_71
<=> ! [X0,X1] :
( leq(sK19(X0,X1),X1)
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_71])]) ).
fof(f347,plain,
! [X0,X1] :
( leq(sK19(X0,X1),X1)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f202]) ).
fof(f853,plain,
spl40_70,
inference(avatar_split_clause,[],[f346,f851]) ).
fof(f346,plain,
! [X0,X1] :
( leq(n0,sK19(X0,X1))
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f202]) ).
fof(f849,plain,
spl40_69,
inference(avatar_split_clause,[],[f343,f847]) ).
fof(f343,plain,
! [X2,X0,X1] : a_select2(tptp_update2(X0,X1,X2),X1) = X2,
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0,X1,X2] : a_select2(tptp_update2(X0,X1,X2),X1) = X2,
inference(rectify,[],[f48]) ).
fof(f48,axiom,
! [X0,X6,X16] : a_select2(tptp_update2(X0,X6,X16),X6) = X16,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sel2_update_1) ).
fof(f845,plain,
spl40_68,
inference(avatar_split_clause,[],[f334,f843]) ).
fof(f843,plain,
( spl40_68
<=> ! [X0,X1] :
( leq(sK18(X0,X1),X1)
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_68])]) ).
fof(f334,plain,
! [X0,X1] :
( leq(sK18(X0,X1),X1)
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f194]) ).
fof(f840,plain,
spl40_67,
inference(avatar_split_clause,[],[f333,f838]) ).
fof(f333,plain,
! [X0,X1] :
( leq(n0,sK18(X0,X1))
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f194]) ).
fof(f836,plain,
spl40_66,
inference(avatar_split_clause,[],[f332,f834]) ).
fof(f834,plain,
( spl40_66
<=> ! [X0,X1] :
( leq(sK17(X0,X1),X1)
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_66])]) ).
fof(f332,plain,
! [X0,X1] :
( leq(sK17(X0,X1),X1)
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f194]) ).
fof(f831,plain,
spl40_65,
inference(avatar_split_clause,[],[f331,f829]) ).
fof(f331,plain,
! [X0,X1] :
( leq(n0,sK17(X0,X1))
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f194]) ).
fof(f827,plain,
spl40_64,
inference(avatar_split_clause,[],[f328,f825]) ).
fof(f825,plain,
( spl40_64
<=> ! [X0,X1] :
( leq(sK16(X0,X1),X1)
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_64])]) ).
fof(f328,plain,
! [X0,X1] :
( leq(sK16(X0,X1),X1)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f190]) ).
fof(f822,plain,
spl40_63,
inference(avatar_split_clause,[],[f327,f820]) ).
fof(f327,plain,
! [X0,X1] :
( leq(n0,sK16(X0,X1))
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f190]) ).
fof(f818,plain,
( spl40_62
| ~ spl40_10
| ~ spl40_45 ),
inference(avatar_split_clause,[],[f686,f681,f503,f815]) ).
fof(f815,plain,
( spl40_62
<=> use = a_select3(u_defuse,tptp_float_0_0,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_62])]) ).
fof(f686,plain,
( use = a_select3(u_defuse,tptp_float_0_0,tptp_float_0_0)
| ~ spl40_10
| ~ spl40_45 ),
inference(superposition,[],[f505,f683]) ).
fof(f505,plain,
( use = a_select3(u_defuse,n0,n0)
| ~ spl40_10 ),
inference(avatar_component_clause,[],[f503]) ).
fof(f813,plain,
spl40_61,
inference(avatar_split_clause,[],[f326,f811]) ).
fof(f811,plain,
( spl40_61
<=> ! [X0,X1] :
( leq(sK15(X0,X1),X1)
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_61])]) ).
fof(f326,plain,
! [X0,X1] :
( leq(sK15(X0,X1),X1)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f190]) ).
fof(f808,plain,
spl40_60,
inference(avatar_split_clause,[],[f325,f806]) ).
fof(f325,plain,
! [X0,X1] :
( leq(n0,sK15(X0,X1))
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f190]) ).
fof(f804,plain,
spl40_59,
inference(avatar_split_clause,[],[f322,f802]) ).
fof(f802,plain,
( spl40_59
<=> ! [X0,X1] :
( leq(sK14(X0,X1),X1)
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_59])]) ).
fof(f322,plain,
! [X0,X1] :
( leq(sK14(X0,X1),X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f186]) ).
fof(f799,plain,
spl40_58,
inference(avatar_split_clause,[],[f321,f797]) ).
fof(f321,plain,
! [X0,X1] :
( leq(n0,sK14(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f186]) ).
fof(f795,plain,
spl40_57,
inference(avatar_split_clause,[],[f320,f793]) ).
fof(f793,plain,
( spl40_57
<=> ! [X0,X1] :
( leq(sK13(X0,X1),X1)
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_57])]) ).
fof(f320,plain,
! [X0,X1] :
( leq(sK13(X0,X1),X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f186]) ).
fof(f790,plain,
spl40_56,
inference(avatar_split_clause,[],[f319,f788]) ).
fof(f319,plain,
! [X0,X1] :
( leq(n0,sK13(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f186]) ).
fof(f785,plain,
spl40_55,
inference(avatar_split_clause,[],[f317,f783]) ).
fof(f317,plain,
! [X0,X1] :
( leq(n0,X1)
| ~ leq(minus(X0,X1),X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0,X1] :
( leq(n0,X1)
| ~ leq(minus(X0,X1),X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,axiom,
! [X0,X1] :
( leq(minus(X0,X1),X0)
=> leq(n0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_minus) ).
fof(f780,plain,
spl40_54,
inference(avatar_split_clause,[],[f313,f778]) ).
fof(f313,plain,
! [X0,X1] :
( leq(uniform_int_rnd(X1,X0),X0)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0,X1] :
( leq(uniform_int_rnd(X1,X0),X0)
| ~ leq(n0,X0) ),
inference(ennf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0,X1] :
( leq(n0,X0)
=> leq(uniform_int_rnd(X1,X0),X0) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X0,X3] :
( leq(n0,X0)
=> leq(uniform_int_rnd(X3,X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',uniform_int_rand_ranges_hi) ).
fof(f774,plain,
spl40_53,
inference(avatar_split_clause,[],[f312,f772]) ).
fof(f312,plain,
! [X0,X1] :
( leq(n0,uniform_int_rnd(X1,X0))
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0,X1] :
( leq(n0,uniform_int_rnd(X1,X0))
| ~ leq(n0,X0) ),
inference(ennf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0,X1] :
( leq(n0,X0)
=> leq(n0,uniform_int_rnd(X1,X0)) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X0,X3] :
( leq(n0,X0)
=> leq(n0,uniform_int_rnd(X3,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',uniform_int_rand_ranges_lo) ).
fof(f753,plain,
spl40_52,
inference(avatar_split_clause,[],[f419,f751]) ).
fof(f419,plain,
! [X0] : plus(X0,n1) = plus(n1,X0),
inference(definition_unfolding,[],[f294,f293]) ).
fof(f294,plain,
! [X0] : succ(X0) = plus(n1,X0),
inference(cnf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0] : succ(X0) = plus(n1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_plus_1_l) ).
fof(f749,plain,
spl40_51,
inference(avatar_split_clause,[],[f418,f747]) ).
fof(f418,plain,
! [X0] : plus(minus(X0,n1),n1) = X0,
inference(definition_unfolding,[],[f291,f293,f295]) ).
fof(f291,plain,
! [X0] : succ(pred(X0)) = X0,
inference(cnf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X0] : succ(pred(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_pred) ).
fof(f745,plain,
spl40_50,
inference(avatar_split_clause,[],[f417,f743]) ).
fof(f417,plain,
! [X0] : minus(plus(X0,n1),n1) = X0,
inference(definition_unfolding,[],[f290,f295,f293]) ).
fof(f290,plain,
! [X0] : pred(succ(X0)) = X0,
inference(cnf_transformation,[],[f40]) ).
fof(f40,axiom,
! [X0] : pred(succ(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pred_succ) ).
fof(f713,plain,
( spl40_49
| ~ spl40_45
| ~ spl40_47 ),
inference(avatar_split_clause,[],[f705,f702,f681,f711]) ).
fof(f711,plain,
( spl40_49
<=> ! [X0] : tptp_float_0_0 = sum(tptp_float_0_0,tptp_minus_1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_49])]) ).
fof(f702,plain,
( spl40_47
<=> ! [X0] : tptp_float_0_0 = sum(n0,tptp_minus_1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_47])]) ).
fof(f705,plain,
( ! [X0] : tptp_float_0_0 = sum(tptp_float_0_0,tptp_minus_1,X0)
| ~ spl40_45
| ~ spl40_47 ),
inference(forward_demodulation,[],[f703,f683]) ).
fof(f703,plain,
( ! [X0] : tptp_float_0_0 = sum(n0,tptp_minus_1,X0)
| ~ spl40_47 ),
inference(avatar_component_clause,[],[f702]) ).
fof(f709,plain,
spl40_48,
inference(avatar_split_clause,[],[f314,f707]) ).
fof(f314,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ gt(X1,X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ gt(X1,X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] :
( gt(X1,X0)
=> leq(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_gt1) ).
fof(f704,plain,
spl40_47,
inference(avatar_split_clause,[],[f296,f702]) ).
fof(f296,plain,
! [X0] : tptp_float_0_0 = sum(n0,tptp_minus_1,X0),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0] : tptp_float_0_0 = sum(n0,tptp_minus_1,X0),
inference(rectify,[],[f27]) ).
fof(f27,axiom,
! [X22] : sum(n0,tptp_minus_1,X22) = tptp_float_0_0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_plus_base_float) ).
fof(f700,plain,
( spl40_46
| ~ spl40_1
| ~ spl40_45 ),
inference(avatar_split_clause,[],[f685,f681,f458,f697]) ).
fof(f697,plain,
( spl40_46
<=> use = a_select2(sigma_defuse,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_46])]) ).
fof(f685,plain,
( use = a_select2(sigma_defuse,tptp_float_0_0)
| ~ spl40_1
| ~ spl40_45 ),
inference(superposition,[],[f460,f683]) ).
fof(f460,plain,
( use = a_select2(sigma_defuse,n0)
| ~ spl40_1 ),
inference(avatar_component_clause,[],[f458]) ).
fof(f684,plain,
( spl40_45
| ~ spl40_44 ),
inference(avatar_split_clause,[],[f679,f676,f681]) ).
fof(f676,plain,
( spl40_44
<=> ! [X0] : n0 = sum(n0,tptp_minus_1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_44])]) ).
fof(f679,plain,
( n0 = tptp_float_0_0
| ~ spl40_44 ),
inference(forward_demodulation,[],[f677,f296]) ).
fof(f677,plain,
( ! [X0] : n0 = sum(n0,tptp_minus_1,X0)
| ~ spl40_44 ),
inference(avatar_component_clause,[],[f676]) ).
fof(f678,plain,
spl40_44,
inference(avatar_split_clause,[],[f292,f676]) ).
fof(f292,plain,
! [X0] : n0 = sum(n0,tptp_minus_1,X0),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0] : n0 = sum(n0,tptp_minus_1,X0),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X22] : n0 = sum(n0,tptp_minus_1,X22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_plus_base) ).
fof(f668,plain,
spl40_43,
inference(avatar_split_clause,[],[f448,f665]) ).
fof(f448,plain,
n5 = plus(n4,n1),
inference(forward_demodulation,[],[f447,f444]) ).
fof(f444,plain,
n4 = plus(n3,n1),
inference(forward_demodulation,[],[f443,f441]) ).
fof(f441,plain,
n3 = plus(n2,n1),
inference(forward_demodulation,[],[f440,f439]) ).
fof(f439,plain,
n2 = plus(n1,n1),
inference(forward_demodulation,[],[f412,f410]) ).
fof(f410,plain,
n1 = plus(n0,n1),
inference(definition_unfolding,[],[f281,f293]) ).
fof(f281,plain,
n1 = succ(n0),
inference(cnf_transformation,[],[f84]) ).
fof(f84,axiom,
n1 = succ(n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_1) ).
fof(f412,plain,
n2 = plus(plus(n0,n1),n1),
inference(definition_unfolding,[],[f283,f293,f293]) ).
fof(f283,plain,
n2 = succ(succ(n0)),
inference(cnf_transformation,[],[f85]) ).
fof(f85,axiom,
n2 = succ(succ(n0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_2) ).
fof(f440,plain,
n3 = plus(plus(n1,n1),n1),
inference(forward_demodulation,[],[f413,f410]) ).
fof(f413,plain,
n3 = plus(plus(plus(n0,n1),n1),n1),
inference(definition_unfolding,[],[f284,f293,f293,f293]) ).
fof(f284,plain,
n3 = succ(succ(succ(n0))),
inference(cnf_transformation,[],[f86]) ).
fof(f86,axiom,
n3 = succ(succ(succ(n0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_3) ).
fof(f443,plain,
n4 = plus(plus(n2,n1),n1),
inference(forward_demodulation,[],[f442,f439]) ).
fof(f442,plain,
n4 = plus(plus(plus(n1,n1),n1),n1),
inference(forward_demodulation,[],[f414,f410]) ).
fof(f414,plain,
n4 = plus(plus(plus(plus(n0,n1),n1),n1),n1),
inference(definition_unfolding,[],[f285,f293,f293,f293,f293]) ).
fof(f285,plain,
n4 = succ(succ(succ(succ(n0)))),
inference(cnf_transformation,[],[f82]) ).
fof(f82,axiom,
n4 = succ(succ(succ(succ(n0)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_4) ).
fof(f447,plain,
n5 = plus(plus(n3,n1),n1),
inference(forward_demodulation,[],[f446,f441]) ).
fof(f446,plain,
n5 = plus(plus(plus(n2,n1),n1),n1),
inference(forward_demodulation,[],[f445,f439]) ).
fof(f445,plain,
n5 = plus(plus(plus(plus(n1,n1),n1),n1),n1),
inference(forward_demodulation,[],[f415,f410]) ).
fof(f415,plain,
n5 = plus(plus(plus(plus(plus(n0,n1),n1),n1),n1),n1),
inference(definition_unfolding,[],[f286,f293,f293,f293,f293,f293]) ).
fof(f286,plain,
n5 = succ(succ(succ(succ(succ(n0))))),
inference(cnf_transformation,[],[f83]) ).
fof(f83,axiom,
n5 = succ(succ(succ(succ(succ(n0))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_5) ).
fof(f663,plain,
spl40_42,
inference(avatar_split_clause,[],[f444,f660]) ).
fof(f658,plain,
spl40_41,
inference(avatar_split_clause,[],[f441,f655]) ).
fof(f653,plain,
spl40_40,
inference(avatar_split_clause,[],[f439,f650]) ).
fof(f648,plain,
spl40_39,
inference(avatar_split_clause,[],[f416,f646]) ).
fof(f416,plain,
! [X0] : gt(plus(X0,n1),X0),
inference(definition_unfolding,[],[f289,f293]) ).
fof(f289,plain,
! [X0] : gt(succ(X0),X0),
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] : gt(succ(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_succ) ).
fof(f644,plain,
spl40_38,
inference(avatar_split_clause,[],[f411,f641]) ).
fof(f411,plain,
n0 = plus(tptp_minus_1,n1),
inference(definition_unfolding,[],[f282,f293]) ).
fof(f282,plain,
n0 = succ(tptp_minus_1),
inference(cnf_transformation,[],[f28]) ).
fof(f28,axiom,
n0 = succ(tptp_minus_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_tptp_minus_1) ).
fof(f639,plain,
spl40_37,
inference(avatar_split_clause,[],[f410,f636]) ).
fof(f634,plain,
spl40_36,
inference(avatar_split_clause,[],[f288,f632]) ).
fof(f632,plain,
( spl40_36
<=> ! [X0] : leq(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_36])]) ).
fof(f288,plain,
! [X0] : leq(X0,X0),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] : leq(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_leq) ).
fof(f630,plain,
spl40_35,
inference(avatar_split_clause,[],[f287,f628]) ).
fof(f287,plain,
! [X0] : ~ gt(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ gt(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',irreflexivity_gt) ).
fof(f626,plain,
spl40_34,
inference(avatar_split_clause,[],[f280,f623]) ).
fof(f280,plain,
gt(n0,tptp_minus_1),
inference(cnf_transformation,[],[f58]) ).
fof(f58,axiom,
gt(n0,tptp_minus_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_0_tptp_minus_1) ).
fof(f621,plain,
spl40_33,
inference(avatar_split_clause,[],[f279,f618]) ).
fof(f279,plain,
gt(n1,n0),
inference(cnf_transformation,[],[f64]) ).
fof(f64,axiom,
gt(n1,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_1_0) ).
fof(f616,plain,
spl40_32,
inference(avatar_split_clause,[],[f278,f613]) ).
fof(f278,plain,
gt(n1,tptp_minus_1),
inference(cnf_transformation,[],[f59]) ).
fof(f59,axiom,
gt(n1,tptp_minus_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_1_tptp_minus_1) ).
fof(f611,plain,
spl40_31,
inference(avatar_split_clause,[],[f277,f608]) ).
fof(f277,plain,
gt(n2,n0),
inference(cnf_transformation,[],[f65]) ).
fof(f65,axiom,
gt(n2,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_2_0) ).
fof(f606,plain,
spl40_30,
inference(avatar_split_clause,[],[f276,f603]) ).
fof(f276,plain,
gt(n2,n1),
inference(cnf_transformation,[],[f69]) ).
fof(f69,axiom,
gt(n2,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_2_1) ).
fof(f601,plain,
spl40_29,
inference(avatar_split_clause,[],[f275,f598]) ).
fof(f275,plain,
gt(n2,tptp_minus_1),
inference(cnf_transformation,[],[f60]) ).
fof(f60,axiom,
gt(n2,tptp_minus_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_2_tptp_minus_1) ).
fof(f596,plain,
spl40_28,
inference(avatar_split_clause,[],[f274,f593]) ).
fof(f274,plain,
gt(n3,n0),
inference(cnf_transformation,[],[f66]) ).
fof(f66,axiom,
gt(n3,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_3_0) ).
fof(f591,plain,
spl40_27,
inference(avatar_split_clause,[],[f273,f588]) ).
fof(f273,plain,
gt(n3,n1),
inference(cnf_transformation,[],[f70]) ).
fof(f70,axiom,
gt(n3,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_3_1) ).
fof(f586,plain,
spl40_26,
inference(avatar_split_clause,[],[f272,f583]) ).
fof(f272,plain,
gt(n3,n2),
inference(cnf_transformation,[],[f73]) ).
fof(f73,axiom,
gt(n3,n2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_3_2) ).
fof(f581,plain,
spl40_25,
inference(avatar_split_clause,[],[f271,f578]) ).
fof(f271,plain,
gt(n3,tptp_minus_1),
inference(cnf_transformation,[],[f61]) ).
fof(f61,axiom,
gt(n3,tptp_minus_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_3_tptp_minus_1) ).
fof(f576,plain,
spl40_24,
inference(avatar_split_clause,[],[f270,f573]) ).
fof(f270,plain,
gt(n4,n0),
inference(cnf_transformation,[],[f62]) ).
fof(f62,axiom,
gt(n4,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_0) ).
fof(f571,plain,
spl40_23,
inference(avatar_split_clause,[],[f269,f568]) ).
fof(f269,plain,
gt(n4,n1),
inference(cnf_transformation,[],[f67]) ).
fof(f67,axiom,
gt(n4,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_1) ).
fof(f566,plain,
spl40_22,
inference(avatar_split_clause,[],[f268,f563]) ).
fof(f268,plain,
gt(n4,n2),
inference(cnf_transformation,[],[f71]) ).
fof(f71,axiom,
gt(n4,n2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_2) ).
fof(f561,plain,
spl40_21,
inference(avatar_split_clause,[],[f267,f558]) ).
fof(f267,plain,
gt(n4,n3),
inference(cnf_transformation,[],[f74]) ).
fof(f74,axiom,
gt(n4,n3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_3) ).
fof(f556,plain,
spl40_20,
inference(avatar_split_clause,[],[f266,f553]) ).
fof(f266,plain,
gt(n4,tptp_minus_1),
inference(cnf_transformation,[],[f56]) ).
fof(f56,axiom,
gt(n4,tptp_minus_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_tptp_minus_1) ).
fof(f551,plain,
spl40_19,
inference(avatar_split_clause,[],[f265,f548]) ).
fof(f265,plain,
gt(n5,n0),
inference(cnf_transformation,[],[f63]) ).
fof(f63,axiom,
gt(n5,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_0) ).
fof(f546,plain,
spl40_18,
inference(avatar_split_clause,[],[f264,f543]) ).
fof(f264,plain,
gt(n5,n1),
inference(cnf_transformation,[],[f68]) ).
fof(f68,axiom,
gt(n5,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_1) ).
fof(f541,plain,
spl40_17,
inference(avatar_split_clause,[],[f263,f538]) ).
fof(f263,plain,
gt(n5,n2),
inference(cnf_transformation,[],[f72]) ).
fof(f72,axiom,
gt(n5,n2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_2) ).
fof(f536,plain,
spl40_16,
inference(avatar_split_clause,[],[f262,f533]) ).
fof(f262,plain,
gt(n5,n3),
inference(cnf_transformation,[],[f75]) ).
fof(f75,axiom,
gt(n5,n3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_3) ).
fof(f531,plain,
spl40_15,
inference(avatar_split_clause,[],[f261,f528]) ).
fof(f261,plain,
gt(n5,n4),
inference(cnf_transformation,[],[f55]) ).
fof(f55,axiom,
gt(n5,n4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_4) ).
fof(f526,plain,
spl40_14,
inference(avatar_split_clause,[],[f260,f523]) ).
fof(f260,plain,
gt(n5,tptp_minus_1),
inference(cnf_transformation,[],[f57]) ).
fof(f57,axiom,
gt(n5,tptp_minus_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_tptp_minus_1) ).
fof(f521,plain,
~ spl40_13,
inference(avatar_split_clause,[],[f259,f518]) ).
fof(f518,plain,
( spl40_13
<=> def = use ),
introduced(avatar_definition,[new_symbols(naming,[spl40_13])]) ).
fof(f259,plain,
def != use,
inference(cnf_transformation,[],[f52]) ).
fof(f52,axiom,
def != use,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',defuse) ).
fof(f516,plain,
spl40_12,
inference(avatar_split_clause,[],[f254,f513]) ).
fof(f254,plain,
use = a_select3(u_defuse,n2,n0),
inference(cnf_transformation,[],[f109]) ).
fof(f511,plain,
spl40_11,
inference(avatar_split_clause,[],[f253,f508]) ).
fof(f253,plain,
use = a_select3(u_defuse,n1,n0),
inference(cnf_transformation,[],[f109]) ).
fof(f506,plain,
spl40_10,
inference(avatar_split_clause,[],[f252,f503]) ).
fof(f252,plain,
use = a_select3(u_defuse,n0,n0),
inference(cnf_transformation,[],[f109]) ).
fof(f501,plain,
spl40_9,
inference(avatar_split_clause,[],[f257,f498]) ).
fof(f257,plain,
use = a_select2(xinit_defuse,n5),
inference(cnf_transformation,[],[f109]) ).
fof(f496,plain,
spl40_8,
inference(avatar_split_clause,[],[f256,f493]) ).
fof(f256,plain,
use = a_select2(xinit_defuse,n4),
inference(cnf_transformation,[],[f109]) ).
fof(f491,plain,
spl40_7,
inference(avatar_split_clause,[],[f255,f488]) ).
fof(f255,plain,
use = a_select2(xinit_defuse,n3),
inference(cnf_transformation,[],[f109]) ).
fof(f486,plain,
spl40_6,
inference(avatar_split_clause,[],[f251,f483]) ).
fof(f251,plain,
use = a_select2(sigma_defuse,n5),
inference(cnf_transformation,[],[f109]) ).
fof(f481,plain,
spl40_5,
inference(avatar_split_clause,[],[f250,f478]) ).
fof(f250,plain,
use = a_select2(sigma_defuse,n4),
inference(cnf_transformation,[],[f109]) ).
fof(f476,plain,
spl40_4,
inference(avatar_split_clause,[],[f249,f473]) ).
fof(f249,plain,
use = a_select2(sigma_defuse,n3),
inference(cnf_transformation,[],[f109]) ).
fof(f471,plain,
spl40_3,
inference(avatar_split_clause,[],[f248,f468]) ).
fof(f248,plain,
use = a_select2(sigma_defuse,n2),
inference(cnf_transformation,[],[f109]) ).
fof(f466,plain,
spl40_2,
inference(avatar_split_clause,[],[f247,f463]) ).
fof(f247,plain,
use = a_select2(sigma_defuse,n1),
inference(cnf_transformation,[],[f109]) ).
fof(f461,plain,
spl40_1,
inference(avatar_split_clause,[],[f246,f458]) ).
fof(f246,plain,
use = a_select2(sigma_defuse,n0),
inference(cnf_transformation,[],[f109]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SWV102+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.06/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.33 % Computer : n004.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Apr 30 04:45:33 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % (6283)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.35 % (6286)WARNING: value z3 for option sas not known
% 0.12/0.35 % (6286)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)
% 0.12/0.35 % (6287)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.35 % (6289)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)
% 0.12/0.35 % (6285)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.35 % (6288)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)
% 0.12/0.35 % (6284)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.12/0.35 % (6290)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)
% 0.18/0.46 TRYING [1]
% 0.18/0.47 TRYING [2]
% 0.18/0.47 % (6288)First to succeed.
% 0.18/0.50 % (6288)Refutation found. Thanks to Tanya!
% 0.18/0.50 % SZS status Theorem for theBenchmark
% 0.18/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.51 % (6288)------------------------------
% 0.18/0.51 % (6288)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.18/0.51 % (6288)Termination reason: Refutation
% 0.18/0.51
% 0.18/0.51 % (6288)Memory used [KB]: 3256
% 0.18/0.51 % (6288)Time elapsed: 0.144 s
% 0.18/0.51 % (6288)Instructions burned: 276 (million)
% 0.18/0.51 % (6288)------------------------------
% 0.18/0.51 % (6288)------------------------------
% 0.18/0.51 % (6283)Success in time 0.161 s
%------------------------------------------------------------------------------