TSTP Solution File: SWW609_2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWW609_2 : TPTP v8.1.0. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n017.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 : Wed Aug 31 19:20:13 EDT 2022
% Result : Theorem 259.76s 33.00s
% Output : Refutation 260.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 879
% Syntax : Number of formulae : 5292 ( 78 unt; 32 typ; 0 def)
% Number of atoms : 24225 (1686 equ)
% Maximal formula atoms : 13 ( 4 avg)
% Number of connectives : 31310 (12345 ~;18013 |; 83 &)
% ( 806 <=>; 63 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 6 ( 1 avg)
% Number arithmetic : 18008 (5751 atm;5681 fun;5193 num;1383 var)
% Number of types : 6 ( 4 usr; 1 ari)
% Number of type conns : 17 ( 9 >; 8 *; 0 +; 0 <<)
% Number of predicates : 808 ( 804 usr; 804 prp; 0-2 aty)
% Number of functors : 36 ( 27 usr; 25 con; 0-4 aty)
% Number of variables : 1383 (1377 !; 6 ?;1383 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
uni: $tType ).
tff(type_def_6,type,
ty: $tType ).
tff(type_def_7,type,
bool1: $tType ).
tff(type_def_8,type,
tuple02: $tType ).
tff(func_def_0,type,
witness1: ty > uni ).
tff(func_def_1,type,
int: ty ).
tff(func_def_2,type,
real: ty ).
tff(func_def_3,type,
bool: ty ).
tff(func_def_4,type,
true1: bool1 ).
tff(func_def_5,type,
false1: bool1 ).
tff(func_def_6,type,
match_bool1: ( ty * bool1 * uni * uni ) > uni ).
tff(func_def_7,type,
tuple0: ty ).
tff(func_def_8,type,
tuple03: tuple02 ).
tff(func_def_9,type,
qtmark: ty ).
tff(func_def_12,type,
abs1: $int > $int ).
tff(func_def_14,type,
div1: ( $int * $int ) > $int ).
tff(func_def_15,type,
mod1: ( $int * $int ) > $int ).
tff(func_def_18,type,
ref: ty > ty ).
tff(func_def_19,type,
mk_ref: ( ty * uni ) > uni ).
tff(func_def_20,type,
contents: ( ty * uni ) > uni ).
tff(func_def_23,type,
sK0: $int ).
tff(func_def_24,type,
sK1: $int ).
tff(func_def_25,type,
sK2: $int ).
tff(func_def_26,type,
sF3: $int ).
tff(func_def_27,type,
sF4: $int ).
tff(func_def_28,type,
sF5: $int ).
tff(func_def_29,type,
sF6: $int ).
tff(func_def_30,type,
sF7: $int ).
tff(func_def_31,type,
sF8: $int ).
tff(func_def_32,type,
sF9: $int ).
tff(func_def_33,type,
sF10: $int ).
tff(pred_def_1,type,
sort1: ( ty * uni ) > $o ).
tff(f54122,plain,
$false,
inference(avatar_smt_refutation,[],[f189,f193,f197,f201,f205,f209,f213,f217,f221,f226,f230,f237,f241,f245,f249,f253,f257,f262,f266,f303,f307,f311,f320,f335,f336,f351,f354,f399,f469,f473,f482,f486,f520,f532,f543,f571,f575,f592,f602,f607,f612,f621,f625,f646,f647,f648,f649,f770,f810,f814,f818,f854,f858,f909,f918,f919,f937,f953,f964,f975,f980,f987,f997,f1016,f1099,f1123,f1125,f1160,f1164,f1168,f1175,f1201,f1205,f1227,f1231,f1232,f1233,f1237,f1238,f1242,f1278,f1297,f1301,f1308,f1315,f1319,f1332,f1365,f1369,f1393,f1432,f1436,f1445,f1450,f1459,f1496,f1497,f1516,f1523,f1524,f1542,f1561,f1566,f1583,f1587,f1615,f1617,f1665,f1669,f1673,f1684,f1685,f1710,f1728,f1787,f1794,f1852,f1859,f1863,f1870,f1871,f1881,f1933,f1937,f1981,f2019,f2020,f2031,f2039,f2043,f2044,f2046,f2050,f2101,f2151,f2258,f2276,f2280,f2362,f2366,f2377,f2384,f2442,f2443,f2453,f2457,f2494,f2595,f2607,f2654,f2658,f2698,f2703,f2732,f2818,f2822,f2823,f2892,f2893,f2894,f2955,f2970,f3033,f3084,f3085,f3096,f3103,f3151,f3434,f3444,f3462,f3482,f3484,f3486,f3488,f3490,f3492,f3506,f3526,f3587,f3588,f3600,f3605,f3708,f3709,f3714,f3715,f3717,f3729,f3743,f3755,f3766,f3770,f3776,f3777,f3797,f3889,f3890,f3892,f3899,f4013,f4016,f4108,f4125,f4127,f4129,f4131,f4133,f4135,f4137,f4138,f4139,f4143,f4199,f4207,f4214,f4249,f4256,f4260,f4305,f4309,f4356,f4360,f4583,f4620,f4624,f4628,f4635,f4636,f4659,f4698,f4734,f4739,f4755,f4764,f4767,f4787,f4791,f4795,f4844,f4845,f4849,f4850,f4878,f4902,f4915,f4921,f4940,f4966,f5010,f5014,f5123,f5130,f5131,f5132,f5136,f5140,f5160,f5161,f5207,f5211,f5214,f5262,f5263,f5324,f5325,f5366,f5367,f5408,f5409,f5414,f5423,f5428,f5429,f5430,f5431,f5438,f5471,f5611,f5615,f5702,f5781,f5946,f5947,f5948,f5976,f6066,f6067,f6068,f6069,f6102,f6106,f6144,f6184,f6201,f6210,f6217,f6336,f6357,f6515,f6631,f6650,f6654,f6664,f6976,f7041,f7042,f7057,f7142,f7171,f7177,f7181,f7239,f7269,f7316,f7335,f7336,f7530,f7539,f7540,f7687,f7688,f7695,f7702,f7703,f7752,f7759,f7760,f7761,f7762,f7763,f7767,f7837,f7841,f7891,f7894,f7895,f7896,f7967,f7968,f7969,f7973,f7974,f7980,f8054,f8057,f8058,f8177,f8187,f8380,f8943,f8950,f8951,f8952,f9365,f9440,f9571,f9575,f9633,f9643,f9669,f9673,f9681,f9685,f9686,f9690,f9691,f9875,f9879,f9883,f9884,f9885,f9914,f9918,f10155,f10438,f10439,f10459,f10688,f10797,f10871,f10921,f10932,f10967,f10990,f10991,f11017,f11025,f11081,f11089,f11119,f11133,f11134,f11167,f11224,f11318,f11320,f11321,f11322,f11361,f11363,f11364,f11365,f11366,f11371,f11372,f11373,f11374,f11448,f11505,f11522,f11883,f11924,f11934,f11949,f11950,f11963,f11964,f12124,f12125,f12237,f12260,f12352,f12372,f12376,f12380,f12381,f12382,f12383,f12387,f12430,f12431,f12648,f12743,f12874,f12878,f13091,f13117,f13256,f13377,f13383,f13390,f13498,f13502,f13506,f13510,f13512,f13678,f13682,f13844,f13851,f14010,f14125,f14127,f14130,f14140,f14141,f14145,f14149,f14151,f14162,f14166,f14168,f14169,f14171,f14173,f14197,f14201,f14568,f14572,f14576,f14762,f14764,f14924,f15328,f15761,f15765,f16028,f16214,f16384,f16388,f16461,f16471,f16475,f16492,f16496,f16508,f16584,f16610,f16685,f16907,f16911,f16915,f16919,f16923,f16928,f16935,f16937,f16941,f16942,f16943,f16947,f16949,f16955,f16956,f16957,f16959,f16963,f16967,f16968,f16969,f16973,f16974,f16978,f17000,f17007,f17010,f17011,f17012,f17019,f17020,f17024,f17028,f17035,f17051,f17080,f17090,f17276,f17411,f17415,f17418,f17428,f17548,f17549,f17579,f17651,f17678,f17742,f17781,f17807,f17817,f17821,f17911,f17941,f17959,f17991,f17995,f17996,f18055,f18059,f18084,f18085,f18086,f18108,f18132,f18180,f18181,f18182,f18217,f18286,f18420,f18448,f18460,f18461,f18624,f18628,f18629,f18844,f18848,f18909,f19041,f19042,f19087,f19088,f19196,f19204,f19208,f19210,f19212,f19213,f19217,f19218,f19235,f19239,f19473,f19726,f19778,f19786,f19787,f19788,f19792,f19793,f19800,f19830,f19831,f19848,f19878,f19882,f20057,f20081,f20092,f20096,f20100,f20132,f20214,f20218,f20245,f20249,f20253,f20432,f20463,f20487,f20498,f20502,f20506,f20513,f20637,f20642,f20645,f20653,f20655,f20863,f20864,f20868,f20883,f20884,f20921,f20930,f20958,f21005,f21006,f21036,f21043,f21050,f21124,f21125,f21126,f21155,f21157,f21166,f21285,f21286,f21287,f21288,f21289,f21290,f21321,f21360,f21361,f21391,f21392,f21447,f21454,f21538,f21539,f21540,f21541,f21542,f21557,f21561,f21562,f21625,f21626,f21633,f21651,f21652,f21653,f21654,f21655,f21766,f21806,f21807,f21844,f21848,f21878,f21961,f22036,f22049,f22050,f22417,f22748,f22804,f23071,f23145,f23263,f23267,f23296,f23319,f23330,f23383,f23549,f23550,f23551,f23626,f23686,f23687,f23704,f23736,f23830,f23840,f23854,f23856,f23858,f23860,f23862,f23907,f23926,f23947,f23949,f23955,f23991,f24000,f24001,f24012,f24016,f24017,f24028,f24155,f24243,f24368,f24402,f24436,f24437,f24490,f24563,f24564,f24601,f24602,f24603,f24617,f24707,f24747,f24880,f24881,f24989,f25181,f25393,f25453,f25551,f25552,f26039,f26080,f26081,f26256,f26257,f26324,f26325,f26379,f26684,f26715,f26716,f27160,f27161,f27287,f27288,f27481,f27482,f28032,f28273,f28281,f28361,f28427,f28837,f28841,f28845,f28855,f28859,f28910,f28911,f28942,f28997,f29001,f29002,f29006,f29187,f29191,f29195,f29293,f29570,f29574,f29803,f29822,f29883,f30188,f30241,f30245,f30271,f30288,f30450,f30580,f30598,f30602,f30606,f30662,f30695,f30733,f30815,f30937,f30979,f31100,f31169,f31271,f31344,f31550,f31602,f32003,f32232,f32248,f32252,f32316,f32320,f32324,f32328,f32332,f32412,f32443,f32456,f32608,f32609,f32821,f32938,f33023,f33035,f33036,f33037,f33099,f33438,f33442,f33902,f33906,f34154,f34158,f34159,f34238,f34438,f34471,f34571,f34655,f34656,f34704,f34765,f35070,f35151,f35155,f35370,f35407,f35886,f37434,f37448,f37717,f37721,f37748,f37749,f37988,f38033,f38049,f38069,f38090,f38222,f38527,f38528,f39488,f39618,f39635,f39708,f39826,f39830,f39850,f39854,f39858,f39890,f39939,f39943,f39953,f39957,f39969,f40000,f40004,f40537,f40611,f40735,f40739,f41191,f41211,f41315,f41319,f41323,f41374,f41455,f41459,f41463,f41487,f41491,f41495,f41499,f41500,f41811,f41815,f41819,f41823,f41827,f41831,f41835,f41839,f41843,f41850,f42041,f42074,f42075,f42079,f42089,f42291,f42389,f42390,f42391,f42463,f42467,f42471,f42515,f42519,f42523,f42885,f43012,f44048,f44076,f44280,f44292,f44523,f44524,f44562,f44577,f45121,f45122,f45174,f45282,f45283,f45290,f45292,f45296,f45353,f45413,f45575,f45749,f45753,f45765,f45766,f45770,f46190,f46294,f46298,f46302,f46607,f46679,f46683,f46687,f46691,f46745,f46749,f46753,f46757,f46761,f46765,f46769,f46773,f46820,f46855,f46859,f46863,f47163,f47350,f47354,f47363,f47367,f47371,f47375,f47461,f47771,f47777,f47781,f47816,f47820,f47824,f47830,f47980,f47986,f47991,f48088,f48209,f48234,f48238,f48242,f48246,f48250,f48254,f48330,f48468,f48472,f48627,f48631,f48673,f48677,f48987,f49185,f49189,f49193,f49327,f49334,f49341,f49407,f49447,f49451,f49455,f49497,f49504,f49508,f49535,f49616,f49658,f49662,f49666,f49678,f49682,f49686,f49741,f49745,f49749,f49753,f49795,f49820,f49824,f49828,f49832,f49839,f49843,f49929,f49933,f50042,f50091,f50095,f50099,f50103,f50107,f50111,f50161,f50257,f50261,f50262,f50266,f50270,f50274,f50278,f50282,f50325,f50329,f50413,f50414,f50418,f50419,f50439,f50650,f50654,f50655,f50656,f50675,f50743,f50747,f50808,f50832,f50833,f50834,f50835,f50839,f50840,f50870,f50941,f50945,f50949,f50953,f50961,f50965,f50969,f50981,f50985,f50989,f51024,f51028,f51032,f51036,f51040,f51086,f51087,f51088,f51089,f51090,f51094,f51111,f51181,f51185,f51186,f51193,f51216,f51220,f51221,f51225,f51227,f51232,f51236,f51240,f51247,f51254,f51258,f51270,f51293,f51297,f51304,f51311,f51315,f51319,f51323,f51328,f51336,f51340,f51344,f51359,f51366,f51397,f51420,f51424,f51560,f51701,f51725,f51729,f51733,f51761,f51896,f52080,f52084,f52088,f52170,f52171,f52175,f52176,f52177,f52236,f52240,f52255,f52259,f52263,f52267,f52326,f52330,f52334,f52338,f52342,f52346,f52350,f52400,f52404,f52464,f52471,f52475,f52482,f52509,f52562,f52566,f52570,f52574,f52578,f52579,f52638,f52642,f52646,f52650,f52735,f52789,f52821,f52854,f53250,f53266,f53567,f53722,f53735,f53895,f53898,f53918,f53919,f53922,f53923,f53986,f53995,f54058,f54090,f54091,f54098,f54107,f54108,f54109,f54118,f54121]) ).
tff(f54121,plain,
( ~ spl11_179
| spl11_539
| spl11_797
| spl11_801 ),
inference(avatar_contradiction_clause,[],[f54120]) ).
tff(f54120,plain,
( $false
| ~ spl11_179
| spl11_539
| spl11_797
| spl11_801 ),
inference(subsumption_resolution,[],[f54119,f4359]) ).
tff(f4359,plain,
( $less(0,sF7)
| ~ spl11_179 ),
inference(avatar_component_clause,[],[f4358]) ).
tff(f4358,plain,
( spl11_179
<=> $less(0,sF7) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_179])]) ).
tff(f54119,plain,
( ~ $less(0,sF7)
| spl11_539
| spl11_797
| spl11_801 ),
inference(forward_demodulation,[],[f54112,f49]) ).
tff(f49,plain,
! [X0: $int] : ( $sum(X0,0) = X0 ),
introduced(theory_axiom_142,[]) ).
tff(f54112,plain,
( ~ $less(0,$sum(sF7,0))
| spl11_539
| spl11_797
| spl11_801 ),
inference(backward_demodulation,[],[f41322,f54106]) ).
tff(f54106,plain,
( ( 0 = $uminus(sF8) )
| spl11_797
| spl11_801 ),
inference(subsumption_resolution,[],[f54103,f53563]) ).
tff(f53563,plain,
( ~ $less(0,$uminus(sF8))
| spl11_797 ),
inference(avatar_component_clause,[],[f53562]) ).
tff(f53562,plain,
( spl11_797
<=> $less(0,$uminus(sF8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_797])]) ).
tff(f54103,plain,
( $less(0,$uminus(sF8))
| ( 0 = $uminus(sF8) )
| spl11_801 ),
inference(resolution,[],[f54094,f54]) ).
tff(f54,plain,
! [X0: $int,X1: $int] :
( $less(X1,X0)
| $less(X0,X1)
| ( X0 = X1 ) ),
introduced(theory_axiom_149,[]) ).
tff(f54094,plain,
( ~ $less($uminus(sF8),0)
| spl11_801 ),
inference(avatar_component_clause,[],[f54093]) ).
tff(f54093,plain,
( spl11_801
<=> $less($uminus(sF8),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_801])]) ).
tff(f41322,plain,
( ~ $less(0,$sum(sF7,$uminus(sF8)))
| spl11_539 ),
inference(avatar_component_clause,[],[f41321]) ).
tff(f41321,plain,
( spl11_539
<=> $less(0,$sum(sF7,$uminus(sF8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_539])]) ).
tff(f54118,plain,
( spl11_803
| spl11_797
| spl11_801 ),
inference(avatar_split_clause,[],[f54106,f54093,f53562,f54116]) ).
tff(f54116,plain,
( spl11_803
<=> ( 0 = $uminus(sF8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_803])]) ).
tff(f54109,plain,
( spl11_702
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| ~ spl11_27
| spl11_58
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f45904,f9363,f982,f484,f264,f243,f191,f50868]) ).
tff(f50868,plain,
( spl11_702
<=> $less($sum(3,$uminus(sF5)),sF6) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_702])]) ).
tff(f191,plain,
( spl11_2
<=> $less(0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_2])]) ).
tff(f243,plain,
( spl11_14
<=> ( sF5 = $sum(sK1,1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_14])]) ).
tff(f264,plain,
( spl11_19
<=> ( sF10 = $product(sK1,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_19])]) ).
tff(f484,plain,
( spl11_27
<=> $less(3,sF6) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_27])]) ).
tff(f982,plain,
( spl11_58
<=> $less(sK1,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_58])]) ).
tff(f9363,plain,
( spl11_263
<=> ( sK1 = div1(sF10,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_263])]) ).
tff(f45904,plain,
( $less($sum(3,$uminus(sF5)),sF6)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| ~ spl11_27
| spl11_58
| ~ spl11_263 ),
inference(resolution,[],[f44760,f507]) ).
tff(f507,plain,
( ! [X0: $int] :
( ~ $less(X0,3)
| $less(X0,sF6) )
| ~ spl11_27 ),
inference(resolution,[],[f485,f53]) ).
tff(f53,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X1,X2)
| ~ $less(X0,X1)
| $less(X0,X2) ),
introduced(theory_axiom_148,[]) ).
tff(f485,plain,
( $less(3,sF6)
| ~ spl11_27 ),
inference(avatar_component_clause,[],[f484]) ).
tff(f44760,plain,
( ! [X2: $int] : $less($sum(X2,$uminus(sF5)),X2)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(superposition,[],[f41880,f47]) ).
tff(f47,plain,
! [X0: $int,X1: $int] : ( $sum(X1,X0) = $sum(X0,X1) ),
introduced(theory_axiom_140,[]) ).
tff(f41880,plain,
( ! [X4: $int] : $less($sum($uminus(sF5),X4),X4)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(superposition,[],[f41370,f465]) ).
tff(f465,plain,
! [X2: $int,X3: $int] : ( $sum(X2,$sum($uminus(X2),X3)) = X3 ),
inference(forward_demodulation,[],[f441,f274]) ).
tff(f274,plain,
! [X0: $int] : ( $sum(0,X0) = X0 ),
inference(superposition,[],[f47,f49]) ).
tff(f441,plain,
! [X2: $int,X3: $int] : ( $sum(0,X3) = $sum(X2,$sum($uminus(X2),X3)) ),
inference(superposition,[],[f48,f51]) ).
tff(f51,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_145,[]) ).
tff(f48,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum($sum(X0,X1),X2) = $sum(X0,$sum(X1,X2)) ),
introduced(theory_axiom_141,[]) ).
tff(f41370,plain,
( ! [X7: $int] : $less(X7,$sum(sF5,X7))
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(forward_demodulation,[],[f41339,f448]) ).
tff(f448,plain,
( ! [X21: $int] : ( $sum(sK1,$sum(1,X21)) = $sum(sF5,X21) )
| ~ spl11_14 ),
inference(superposition,[],[f48,f244]) ).
tff(f244,plain,
( ( sF5 = $sum(sK1,1) )
| ~ spl11_14 ),
inference(avatar_component_clause,[],[f243]) ).
tff(f41339,plain,
( ! [X7: $int] : $less(X7,$sum(sK1,$sum(1,X7)))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(resolution,[],[f41220,f328]) ).
tff(f328,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(1,X0))
| $less(X0,X1) ),
inference(superposition,[],[f56,f47]) ).
tff(f56,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
| $less(X0,X1) ),
introduced(theory_axiom_152,[]) ).
tff(f41220,plain,
( ! [X0: $int] : ~ $less($sum(sK1,X0),X0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(resolution,[],[f40600,f404]) ).
tff(f404,plain,
! [X2: $int,X3: $int] :
( $less(0,$sum(X3,$uminus(X2)))
| ~ $less(X2,X3) ),
inference(superposition,[],[f55,f51]) ).
tff(f55,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X0,X2),$sum(X1,X2))
| ~ $less(X0,X1) ),
introduced(theory_axiom_150,[]) ).
tff(f40600,plain,
( ! [X20: $int] : ~ $less(0,$sum(X20,$uminus($sum(sK1,X20))))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(subsumption_resolution,[],[f40592,f983]) ).
tff(f983,plain,
( ~ $less(sK1,0)
| spl11_58 ),
inference(avatar_component_clause,[],[f982]) ).
tff(f40592,plain,
( ! [X20: $int] :
( ~ $less(0,$sum(X20,$uminus($sum(sK1,X20))))
| $less(sK1,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(superposition,[],[f39870,f452]) ).
tff(f452,plain,
! [X6: $int,X5: $int] : ( 0 = $sum(X5,$sum(X6,$uminus($sum(X5,X6)))) ),
inference(superposition,[],[f48,f51]) ).
tff(f39870,plain,
( ! [X0: $int] :
( $less(sK1,$sum(sK1,X0))
| ~ $less(0,X0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(superposition,[],[f39541,f47]) ).
tff(f39541,plain,
( ! [X0: $int] :
( $less(sK1,$sum(X0,sK1))
| ~ $less(0,X0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(subsumption_resolution,[],[f39519,f192]) ).
tff(f192,plain,
( $less(0,sK1)
| ~ spl11_2 ),
inference(avatar_component_clause,[],[f191]) ).
tff(f39519,plain,
( ! [X0: $int] :
( $less(sK1,$sum(X0,sK1))
| ~ $less(0,sK1)
| ~ $less(0,X0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(evaluation,[],[f39517]) ).
tff(f39517,plain,
( ! [X0: $int] :
( ~ $less(0,X0)
| ~ $less(0,sK1)
| $less(0,0)
| $less(sK1,$sum(X0,sK1)) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(superposition,[],[f39255,f156]) ).
tff(f156,plain,
! [X0: $int,X1: $int] :
( ( 0 = div1(X1,X0) )
| ~ $less(X1,X0)
| $less(X1,0) ),
inference(cnf_transformation,[],[f98]) ).
tff(f98,plain,
! [X1: $int,X0: $int] :
( ~ $less(X1,X0)
| ( 0 = div1(X1,X0) )
| $less(X1,0) ),
inference(flattening,[],[f97]) ).
tff(f97,plain,
! [X0: $int,X1: $int] :
( ( 0 = div1(X1,X0) )
| ~ $less(X1,X0)
| $less(X1,0) ),
inference(ennf_transformation,[],[f72]) ).
tff(f72,plain,
! [X0: $int,X1: $int] :
( ( $less(X1,X0)
& ~ $less(X1,0) )
=> ( 0 = div1(X1,X0) ) ),
inference(rectify,[],[f36]) ).
tff(f36,plain,
! [X7: $int,X1: $int] :
( ( ~ $less(X1,0)
& $less(X1,X7) )
=> ( 0 = div1(X1,X7) ) ),
inference(theory_normalization,[],[f22]) ).
tff(f22,axiom,
! [X7: $int,X1: $int] :
( ( $lesseq(0,X1)
& $less(X1,X7) )
=> ( 0 = div1(X1,X7) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',div_inf) ).
tff(f39255,plain,
( ! [X13: $int] :
( ~ $less(div1(0,sK1),X13)
| $less(sK1,$sum(X13,sK1)) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(forward_demodulation,[],[f39242,f9364]) ).
tff(f9364,plain,
( ( sK1 = div1(sF10,sK1) )
| ~ spl11_263 ),
inference(avatar_component_clause,[],[f9363]) ).
tff(f39242,plain,
( ! [X13: $int] :
( $less(div1(sF10,sK1),$sum(X13,sK1))
| ~ $less(div1(0,sK1),X13) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(evaluation,[],[f39231]) ).
tff(f39231,plain,
( ! [X13: $int] :
( $less(0,0)
| ~ $less(div1(0,sK1),X13)
| $less(div1($uminus($uminus(sF10)),sK1),$sum(X13,sK1)) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f38893,f51]) ).
tff(f38893,plain,
( ! [X70: $int,X71: $int] :
( ~ $less(div1($sum($uminus(sF10),X70),sK1),X71)
| $less(div1(X70,sK1),$sum(X71,sK1))
| $less($sum($uminus(sF10),X70),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f405,f23473]) ).
tff(f23473,plain,
( ! [X70: $int] :
( ( div1(X70,sK1) = $sum(sK1,div1($sum($uminus(sF10),X70),sK1)) )
| $less($sum($uminus(sF10),X70),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1119,f465]) ).
tff(f1119,plain,
( ! [X6: $int] :
( ( $sum(sK1,div1(X6,sK1)) = div1($sum(sF10,X6),sK1) )
| $less(X6,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(subsumption_resolution,[],[f1118,f192]) ).
tff(f1118,plain,
( ! [X6: $int] :
( $less(X6,0)
| ( $sum(sK1,div1(X6,sK1)) = div1($sum(sF10,X6),sK1) )
| ~ $less(0,sK1) )
| ~ spl11_19
| spl11_58 ),
inference(subsumption_resolution,[],[f1109,f983]) ).
tff(f1109,plain,
( ! [X6: $int] :
( $less(sK1,0)
| ( $sum(sK1,div1(X6,sK1)) = div1($sum(sF10,X6),sK1) )
| ~ $less(0,sK1)
| $less(X6,0) )
| ~ spl11_19 ),
inference(superposition,[],[f151,f265]) ).
tff(f265,plain,
( ( sF10 = $product(sK1,sK1) )
| ~ spl11_19 ),
inference(avatar_component_clause,[],[f264]) ).
tff(f151,plain,
! [X2: $int,X0: $int,X1: $int] :
( ( div1($sum($product(X1,X2),X0),X1) = $sum(X2,div1(X0,X1)) )
| ~ $less(0,X1)
| $less(X2,0)
| $less(X0,0) ),
inference(cnf_transformation,[],[f109]) ).
tff(f109,plain,
! [X0: $int,X2: $int,X1: $int] :
( ( div1($sum($product(X1,X2),X0),X1) = $sum(X2,div1(X0,X1)) )
| ~ $less(0,X1)
| $less(X2,0)
| $less(X0,0) ),
inference(flattening,[],[f108]) ).
tff(f108,plain,
! [X0: $int,X1: $int,X2: $int] :
( ( div1($sum($product(X1,X2),X0),X1) = $sum(X2,div1(X0,X1)) )
| $less(X2,0)
| ~ $less(0,X1)
| $less(X0,0) ),
inference(ennf_transformation,[],[f80]) ).
tff(f80,plain,
! [X0: $int,X1: $int,X2: $int] :
( ( ~ $less(X2,0)
& $less(0,X1)
& ~ $less(X0,0) )
=> ( div1($sum($product(X1,X2),X0),X1) = $sum(X2,div1(X0,X1)) ) ),
inference(rectify,[],[f40]) ).
tff(f40,plain,
! [X4: $int,X1: $int,X7: $int] :
( ( ~ $less(X4,0)
& $less(0,X1)
& ~ $less(X7,0) )
=> ( div1($sum($product(X1,X7),X4),X1) = $sum(X7,div1(X4,X1)) ) ),
inference(theory_normalization,[],[f24]) ).
tff(f24,axiom,
! [X4: $int,X1: $int,X7: $int] :
( ( $lesseq(0,X4)
& $less(0,X1)
& $lesseq(0,X7) )
=> ( div1($sum($product(X1,X7),X4),X1) = $sum(X7,div1(X4,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',div_mult) ).
tff(f405,plain,
! [X6: $int,X4: $int,X5: $int] :
( $less($sum(X5,X4),$sum(X6,X5))
| ~ $less(X4,X6) ),
inference(superposition,[],[f55,f47]) ).
tff(f54108,plain,
( spl11_631
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| ~ spl11_49
| spl11_58
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f45903,f9363,f982,f913,f264,f243,f191,f48328]) ).
tff(f48328,plain,
( spl11_631
<=> $less($sum(3,$uminus(sF5)),sF3) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_631])]) ).
tff(f913,plain,
( spl11_49
<=> $less(3,sF3) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_49])]) ).
tff(f45903,plain,
( $less($sum(3,$uminus(sF5)),sF3)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| ~ spl11_49
| spl11_58
| ~ spl11_263 ),
inference(resolution,[],[f44760,f924]) ).
tff(f924,plain,
( ! [X0: $int] :
( ~ $less(X0,3)
| $less(X0,sF3) )
| ~ spl11_49 ),
inference(resolution,[],[f914,f53]) ).
tff(f914,plain,
( $less(3,sF3)
| ~ spl11_49 ),
inference(avatar_component_clause,[],[f913]) ).
tff(f54107,plain,
( spl11_732
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_423 ),
inference(avatar_split_clause,[],[f45902,f23314,f9363,f982,f264,f243,f191,f51252]) ).
tff(f51252,plain,
( spl11_732
<=> $less($sum(1,$uminus(sF5)),sF7) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_732])]) ).
tff(f23314,plain,
( spl11_423
<=> $less(1,sF7) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_423])]) ).
tff(f45902,plain,
( $less($sum(1,$uminus(sF5)),sF7)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_423 ),
inference(resolution,[],[f44760,f23328]) ).
tff(f23328,plain,
( ! [X3: $int] :
( ~ $less(X3,1)
| $less(X3,sF7) )
| ~ spl11_423 ),
inference(resolution,[],[f23315,f53]) ).
tff(f23315,plain,
( $less(1,sF7)
| ~ spl11_423 ),
inference(avatar_component_clause,[],[f23314]) ).
tff(f54098,plain,
( ~ spl11_801
| spl11_802
| ~ spl11_2
| ~ spl11_17
| ~ spl11_19
| spl11_58
| ~ spl11_68
| ~ spl11_263
| ~ spl11_449 ),
inference(avatar_split_clause,[],[f54075,f29004,f9363,f1173,f982,f264,f255,f191,f54096,f54093]) ).
tff(f54096,plain,
( spl11_802
<=> $less($uminus(sF7),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_802])]) ).
tff(f255,plain,
( spl11_17
<=> ( sF8 = $sum(sF7,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_17])]) ).
tff(f1173,plain,
( spl11_68
<=> $less($uminus(sF10),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_68])]) ).
tff(f29004,plain,
( spl11_449
<=> ( sF10 = abs1($uminus(sF10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_449])]) ).
tff(f54075,plain,
( $less($uminus(sF7),sK1)
| ~ $less($uminus(sF8),0)
| ~ spl11_2
| ~ spl11_17
| ~ spl11_19
| spl11_58
| ~ spl11_68
| ~ spl11_263
| ~ spl11_449 ),
inference(superposition,[],[f50122,f256]) ).
tff(f256,plain,
( ( sF8 = $sum(sF7,sK1) )
| ~ spl11_17 ),
inference(avatar_component_clause,[],[f255]) ).
tff(f50122,plain,
( ! [X1: $int] :
( ~ $less($uminus($sum(X1,sK1)),0)
| $less($uminus(X1),sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_68
| ~ spl11_263
| ~ spl11_449 ),
inference(superposition,[],[f45341,f50]) ).
tff(f50,plain,
! [X0: $int,X1: $int] : ( $uminus($sum(X0,X1)) = $sum($uminus(X1),$uminus(X0)) ),
introduced(theory_axiom_144,[]) ).
tff(f45341,plain,
( ! [X20: $int] :
( ~ $less($sum($uminus(sK1),X20),0)
| $less(X20,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_68
| ~ spl11_263
| ~ spl11_449 ),
inference(superposition,[],[f42493,f465]) ).
tff(f42493,plain,
( ! [X0: $int] :
( $less($sum(sK1,X0),sK1)
| ~ $less(X0,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_68
| ~ spl11_263
| ~ spl11_449 ),
inference(superposition,[],[f42436,f47]) ).
tff(f42436,plain,
( ! [X0: $int] :
( $less($sum(X0,sK1),sK1)
| ~ $less(X0,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_68
| ~ spl11_263
| ~ spl11_449 ),
inference(subsumption_resolution,[],[f42424,f192]) ).
tff(f42424,plain,
( ! [X0: $int] :
( ~ $less(X0,0)
| $less($sum(X0,sK1),sK1)
| ~ $less(0,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_68
| ~ spl11_263
| ~ spl11_449 ),
inference(evaluation,[],[f42423]) ).
tff(f42423,plain,
( ! [X0: $int] :
( ~ $less(X0,0)
| ~ $less(0,sK1)
| $less($sum(X0,sK1),sK1)
| $less(0,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_68
| ~ spl11_263
| ~ spl11_449 ),
inference(superposition,[],[f39785,f156]) ).
tff(f39785,plain,
( ! [X12: $int] :
( ~ $less(X12,div1(0,sK1))
| $less($sum(X12,sK1),sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_68
| ~ spl11_263
| ~ spl11_449 ),
inference(forward_demodulation,[],[f39784,f9364]) ).
tff(f39784,plain,
( ! [X12: $int] :
( ~ $less(X12,div1(0,sK1))
| $less($sum(X12,sK1),div1(sF10,sK1)) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_68
| ~ spl11_449 ),
inference(forward_demodulation,[],[f39783,f29005]) ).
tff(f29005,plain,
( ( sF10 = abs1($uminus(sF10)) )
| ~ spl11_449 ),
inference(avatar_component_clause,[],[f29004]) ).
tff(f39783,plain,
( ! [X12: $int] :
( $less($sum(X12,sK1),div1(abs1($uminus(sF10)),sK1))
| ~ $less(X12,div1(0,sK1)) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_68 ),
inference(subsumption_resolution,[],[f39761,f1174]) ).
tff(f1174,plain,
( $less($uminus(sF10),0)
| ~ spl11_68 ),
inference(avatar_component_clause,[],[f1173]) ).
tff(f39761,plain,
( ! [X12: $int] :
( ~ $less($uminus(sF10),0)
| $less($sum(X12,sK1),div1(abs1($uminus(sF10)),sK1))
| ~ $less(X12,div1(0,sK1)) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(evaluation,[],[f39749]) ).
tff(f39749,plain,
( ! [X12: $int] :
( ~ $less(X12,div1(0,sK1))
| $less(0,0)
| $less($sum(X12,sK1),div1(abs1($uminus(sF10)),sK1))
| ~ $less($uminus(sF10),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f39401,f347]) ).
tff(f347,plain,
! [X1: $int] :
( ( 0 = $sum(X1,abs1(X1)) )
| ~ $less(X1,0) ),
inference(superposition,[],[f51,f127]) ).
tff(f127,plain,
! [X0: $int] :
( ( abs1(X0) = $uminus(X0) )
| ~ $less(X0,0) ),
inference(cnf_transformation,[],[f106]) ).
tff(f106,plain,
! [X0: $int] :
( ( ( abs1(X0) = X0 )
| $less(X0,0) )
& ( ~ $less(X0,0)
| ( abs1(X0) = $uminus(X0) ) ) ),
inference(ennf_transformation,[],[f90]) ).
tff(f90,plain,
! [X0: $int] :
( ( $less(X0,0)
=> ( abs1(X0) = $uminus(X0) ) )
& ( ~ $less(X0,0)
=> ( abs1(X0) = X0 ) ) ),
inference(rectify,[],[f46]) ).
tff(f46,plain,
! [X1: $int] :
( ( $less(X1,0)
=> ( abs1(X1) = $uminus(X1) ) )
& ( ~ $less(X1,0)
=> ( abs1(X1) = X1 ) ) ),
inference(theory_normalization,[],[f9]) ).
tff(f9,axiom,
! [X1: $int] :
( ( ~ $lesseq(0,X1)
=> ( abs1(X1) = $uminus(X1) ) )
& ( $lesseq(0,X1)
=> ( abs1(X1) = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abs_def) ).
tff(f39401,plain,
( ! [X70: $int,X71: $int] :
( ~ $less(X71,div1($sum($uminus(sF10),X70),sK1))
| $less($sum($uminus(sF10),X70),0)
| $less($sum(X71,sK1),div1(X70,sK1)) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f415,f23473]) ).
tff(f415,plain,
! [X6: $int,X4: $int,X5: $int] :
( $less($sum(X6,X5),$sum(X5,X4))
| ~ $less(X6,X4) ),
inference(superposition,[],[f55,f47]) ).
tff(f54091,plain,
( spl11_649
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_321 ),
inference(avatar_split_clause,[],[f45901,f16212,f9363,f982,f264,f243,f191,f49453]) ).
tff(f49453,plain,
( spl11_649
<=> $less($sum(1,$uminus(sF5)),sF5) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_649])]) ).
tff(f16212,plain,
( spl11_321
<=> $less(1,sF5) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_321])]) ).
tff(f45901,plain,
( $less($sum(1,$uminus(sF5)),sF5)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_321 ),
inference(resolution,[],[f44760,f16395]) ).
tff(f16395,plain,
( ! [X1: $int] :
( ~ $less(X1,1)
| $less(X1,sF5) )
| ~ spl11_321 ),
inference(resolution,[],[f16213,f53]) ).
tff(f16213,plain,
( $less(1,sF5)
| ~ spl11_321 ),
inference(avatar_component_clause,[],[f16212]) ).
tff(f54090,plain,
( spl11_700
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_272 ),
inference(avatar_split_clause,[],[f45900,f9881,f9363,f982,f264,f243,f191,f50745]) ).
tff(f50745,plain,
( spl11_700
<=> $less($sum(1,$uminus(sF5)),sF4) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_700])]) ).
tff(f9881,plain,
( spl11_272
<=> $less(1,sF4) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_272])]) ).
tff(f45900,plain,
( $less($sum(1,$uminus(sF5)),sF4)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_272 ),
inference(resolution,[],[f44760,f9908]) ).
tff(f9908,plain,
( ! [X0: $int] :
( ~ $less(X0,1)
| $less(X0,sF4) )
| ~ spl11_272 ),
inference(resolution,[],[f9882,f53]) ).
tff(f9882,plain,
( $less(1,sF4)
| ~ spl11_272 ),
inference(avatar_component_clause,[],[f9881]) ).
tff(f54058,plain,
( spl11_664
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_271 ),
inference(avatar_split_clause,[],[f45899,f9877,f9363,f982,f264,f243,f191,f49747]) ).
tff(f49747,plain,
( spl11_664
<=> $less($sum(1,$uminus(sF5)),sF6) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_664])]) ).
tff(f9877,plain,
( spl11_271
<=> $less(1,sF6) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_271])]) ).
tff(f45899,plain,
( $less($sum(1,$uminus(sF5)),sF6)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_271 ),
inference(resolution,[],[f44760,f9906]) ).
tff(f9906,plain,
( ! [X0: $int] :
( ~ $less(X0,1)
| $less(X0,sF6) )
| ~ spl11_271 ),
inference(resolution,[],[f9878,f53]) ).
tff(f9878,plain,
( $less(1,sF6)
| ~ spl11_271 ),
inference(avatar_component_clause,[],[f9877]) ).
tff(f53995,plain,
( spl11_602
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_269 ),
inference(avatar_split_clause,[],[f45898,f9683,f9363,f982,f264,f243,f191,f46853]) ).
tff(f46853,plain,
( spl11_602
<=> $less($sum(1,$uminus(sF5)),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_602])]) ).
tff(f9683,plain,
( spl11_269
<=> $less(1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_269])]) ).
tff(f45898,plain,
( $less($sum(1,$uminus(sF5)),sK0)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_269 ),
inference(resolution,[],[f44760,f9873]) ).
tff(f9873,plain,
( ! [X0: $int] :
( ~ $less(X0,1)
| $less(X0,sK0) )
| ~ spl11_269 ),
inference(resolution,[],[f9684,f53]) ).
tff(f9684,plain,
( $less(1,sK0)
| ~ spl11_269 ),
inference(avatar_component_clause,[],[f9683]) ).
tff(f53986,plain,
( spl11_612
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_268 ),
inference(avatar_split_clause,[],[f45897,f9679,f9363,f982,f264,f243,f191,f47459]) ).
tff(f47459,plain,
( spl11_612
<=> $less($sum(1,$uminus(sF5)),sF8) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_612])]) ).
tff(f9679,plain,
( spl11_268
<=> $less(1,sF8) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_268])]) ).
tff(f45897,plain,
( $less($sum(1,$uminus(sF5)),sF8)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_268 ),
inference(resolution,[],[f44760,f9868]) ).
tff(f9868,plain,
( ! [X0: $int] :
( ~ $less(X0,1)
| $less(X0,sF8) )
| ~ spl11_268 ),
inference(resolution,[],[f9680,f53]) ).
tff(f9680,plain,
( $less(1,sF8)
| ~ spl11_268 ),
inference(avatar_component_clause,[],[f9679]) ).
tff(f53923,plain,
( spl11_452
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| ~ spl11_20
| spl11_58
| spl11_292 ),
inference(avatar_split_clause,[],[f53872,f13375,f982,f301,f264,f243,f191,f29193]) ).
tff(f29193,plain,
( spl11_452
<=> ( mod1($sum(sF5,sF10),sK1) = mod1(sF5,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_452])]) ).
tff(f301,plain,
( spl11_20
<=> ( $sum(1,sK1) = sF5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_20])]) ).
tff(f13375,plain,
( spl11_292
<=> $less(sF5,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_292])]) ).
tff(f53872,plain,
( ( mod1($sum(sF5,sF10),sK1) = mod1(sF5,sK1) )
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| ~ spl11_20
| spl11_58
| spl11_292 ),
inference(forward_demodulation,[],[f53871,f302]) ).
tff(f302,plain,
( ( $sum(1,sK1) = sF5 )
| ~ spl11_20 ),
inference(avatar_component_clause,[],[f301]) ).
tff(f53871,plain,
( ( mod1($sum(1,sK1),sK1) = mod1($sum(sF5,sF10),sK1) )
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| ~ spl11_20
| spl11_58
| spl11_292 ),
inference(subsumption_resolution,[],[f53870,f13376]) ).
tff(f13376,plain,
( ~ $less(sF5,0)
| spl11_292 ),
inference(avatar_component_clause,[],[f13375]) ).
tff(f53870,plain,
( ( mod1($sum(1,sK1),sK1) = mod1($sum(sF5,sF10),sK1) )
| $less(sF5,0)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| ~ spl11_20
| spl11_58 ),
inference(forward_demodulation,[],[f53764,f302]) ).
tff(f53764,plain,
( $less($sum(1,sK1),0)
| ( mod1($sum(1,sK1),sK1) = mod1($sum(sF5,sF10),sK1) )
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f43205,f448]) ).
tff(f43205,plain,
( ! [X317: $int,X316: $int] :
( ( mod1($sum(X316,X317),sK1) = mod1($sum(X317,$sum(X316,sF10)),sK1) )
| $less($sum(X316,X317),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1130,f442]) ).
tff(f442,plain,
! [X6: $int,X4: $int,X5: $int] : ( $sum($sum(X5,X4),X6) = $sum(X4,$sum(X5,X6)) ),
inference(superposition,[],[f48,f47]) ).
tff(f1130,plain,
( ! [X0: $int] :
( ( mod1($sum(X0,sF10),sK1) = mod1(X0,sK1) )
| $less(X0,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1116,f47]) ).
tff(f1116,plain,
( ! [X5: $int] :
( ( mod1($sum(sF10,X5),sK1) = mod1(X5,sK1) )
| $less(X5,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(subsumption_resolution,[],[f1115,f192]) ).
tff(f1115,plain,
( ! [X5: $int] :
( $less(X5,0)
| ~ $less(0,sK1)
| ( mod1($sum(sF10,X5),sK1) = mod1(X5,sK1) ) )
| ~ spl11_19
| spl11_58 ),
inference(subsumption_resolution,[],[f1108,f983]) ).
tff(f1108,plain,
( ! [X5: $int] :
( $less(sK1,0)
| $less(X5,0)
| ~ $less(0,sK1)
| ( mod1($sum(sF10,X5),sK1) = mod1(X5,sK1) ) )
| ~ spl11_19 ),
inference(superposition,[],[f147,f265]) ).
tff(f147,plain,
! [X2: $int,X0: $int,X1: $int] :
( ( mod1($sum($product(X1,X0),X2),X1) = mod1(X2,X1) )
| $less(X2,0)
| $less(X0,0)
| ~ $less(0,X1) ),
inference(cnf_transformation,[],[f101]) ).
tff(f101,plain,
! [X0: $int,X2: $int,X1: $int] :
( ( mod1($sum($product(X1,X0),X2),X1) = mod1(X2,X1) )
| ~ $less(0,X1)
| $less(X0,0)
| $less(X2,0) ),
inference(flattening,[],[f100]) ).
tff(f100,plain,
! [X0: $int,X1: $int,X2: $int] :
( ( mod1($sum($product(X1,X0),X2),X1) = mod1(X2,X1) )
| ~ $less(0,X1)
| $less(X0,0)
| $less(X2,0) ),
inference(ennf_transformation,[],[f77]) ).
tff(f77,plain,
! [X0: $int,X1: $int,X2: $int] :
( ( $less(0,X1)
& ~ $less(X0,0)
& ~ $less(X2,0) )
=> ( mod1($sum($product(X1,X0),X2),X1) = mod1(X2,X1) ) ),
inference(rectify,[],[f39]) ).
tff(f39,plain,
! [X7: $int,X1: $int,X4: $int] :
( ( $less(0,X1)
& ~ $less(X7,0)
& ~ $less(X4,0) )
=> ( mod1($sum($product(X1,X7),X4),X1) = mod1(X4,X1) ) ),
inference(theory_normalization,[],[f25]) ).
tff(f25,axiom,
! [X7: $int,X1: $int,X4: $int] :
( ( $less(0,X1)
& $lesseq(0,X7)
& $lesseq(0,X4) )
=> ( mod1($sum($product(X1,X7),X4),X1) = mod1(X4,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mod_mult) ).
tff(f53922,plain,
( spl11_453
| ~ spl11_2
| ~ spl11_12
| ~ spl11_19
| ~ spl11_21
| spl11_58
| spl11_106 ),
inference(avatar_split_clause,[],[f53835,f1726,f982,f305,f264,f235,f191,f29291]) ).
tff(f29291,plain,
( spl11_453
<=> ( mod1($sum(sF3,sF10),sK1) = mod1(sF3,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_453])]) ).
tff(f235,plain,
( spl11_12
<=> ( sF3 = $sum(sK2,1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_12])]) ).
tff(f305,plain,
( spl11_21
<=> ( $sum(1,sK2) = sF3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_21])]) ).
tff(f1726,plain,
( spl11_106
<=> $less(sF3,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_106])]) ).
tff(f53835,plain,
( ( mod1($sum(sF3,sF10),sK1) = mod1(sF3,sK1) )
| ~ spl11_2
| ~ spl11_12
| ~ spl11_19
| ~ spl11_21
| spl11_58
| spl11_106 ),
inference(forward_demodulation,[],[f53834,f306]) ).
tff(f306,plain,
( ( $sum(1,sK2) = sF3 )
| ~ spl11_21 ),
inference(avatar_component_clause,[],[f305]) ).
tff(f53834,plain,
( ( mod1($sum(sF3,sF10),sK1) = mod1($sum(1,sK2),sK1) )
| ~ spl11_2
| ~ spl11_12
| ~ spl11_19
| ~ spl11_21
| spl11_58
| spl11_106 ),
inference(subsumption_resolution,[],[f53833,f3891]) ).
tff(f3891,plain,
( ~ $less(sF3,0)
| spl11_106 ),
inference(avatar_component_clause,[],[f1726]) ).
tff(f53833,plain,
( ( mod1($sum(sF3,sF10),sK1) = mod1($sum(1,sK2),sK1) )
| $less(sF3,0)
| ~ spl11_2
| ~ spl11_12
| ~ spl11_19
| ~ spl11_21
| spl11_58 ),
inference(forward_demodulation,[],[f53765,f306]) ).
tff(f53765,plain,
( $less($sum(1,sK2),0)
| ( mod1($sum(sF3,sF10),sK1) = mod1($sum(1,sK2),sK1) )
| ~ spl11_2
| ~ spl11_12
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f43205,f449]) ).
tff(f449,plain,
( ! [X22: $int] : ( $sum(sF3,X22) = $sum(sK2,$sum(1,X22)) )
| ~ spl11_12 ),
inference(superposition,[],[f48,f236]) ).
tff(f236,plain,
( ( sF3 = $sum(sK2,1) )
| ~ spl11_12 ),
inference(avatar_component_clause,[],[f235]) ).
tff(f53919,plain,
( spl11_759
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_267 ),
inference(avatar_split_clause,[],[f45896,f9671,f9363,f982,f264,f243,f191,f51894]) ).
tff(f51894,plain,
( spl11_759
<=> $less($sum(1,$uminus(sF5)),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_759])]) ).
tff(f9671,plain,
( spl11_267
<=> $less(1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_267])]) ).
tff(f45896,plain,
( $less($sum(1,$uminus(sF5)),sK2)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_267 ),
inference(resolution,[],[f44760,f9677]) ).
tff(f9677,plain,
( ! [X0: $int] :
( ~ $less(X0,1)
| $less(X0,sK2) )
| ~ spl11_267 ),
inference(resolution,[],[f9672,f53]) ).
tff(f9672,plain,
( $less(1,sK2)
| ~ spl11_267 ),
inference(avatar_component_clause,[],[f9671]) ).
tff(f53918,plain,
( spl11_754
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_88
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f45895,f9363,f1440,f982,f264,f243,f191,f51699]) ).
tff(f51699,plain,
( spl11_754
<=> $less($sum(1,$uminus(sF5)),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_754])]) ).
tff(f1440,plain,
( spl11_88
<=> $less(1,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_88])]) ).
tff(f45895,plain,
( $less($sum(1,$uminus(sF5)),sK1)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_88
| ~ spl11_263 ),
inference(resolution,[],[f44760,f9642]) ).
tff(f9642,plain,
( ! [X0: $int] :
( ~ $less(X0,1)
| $less(X0,sK1) )
| ~ spl11_88 ),
inference(resolution,[],[f9632,f53]) ).
tff(f9632,plain,
( $less(1,sK1)
| ~ spl11_88 ),
inference(avatar_component_clause,[],[f1440]) ).
tff(f53898,plain,
( spl11_596
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| ~ spl11_51
| spl11_58
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f45893,f9363,f982,f935,f264,f243,f191,f46751]) ).
tff(f46751,plain,
( spl11_596
<=> $less($sum(1,$uminus(sF5)),sF3) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_596])]) ).
tff(f935,plain,
( spl11_51
<=> $less(1,sF3) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_51])]) ).
tff(f45893,plain,
( $less($sum(1,$uminus(sF5)),sF3)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| ~ spl11_51
| spl11_58
| ~ spl11_263 ),
inference(resolution,[],[f44760,f954]) ).
tff(f954,plain,
( ! [X0: $int] :
( ~ $less(X0,1)
| $less(X0,sF3) )
| ~ spl11_51 ),
inference(resolution,[],[f936,f53]) ).
tff(f936,plain,
( $less(1,sF3)
| ~ spl11_51 ),
inference(avatar_component_clause,[],[f935]) ).
tff(f53895,plain,
( ~ spl11_800
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f53523,f9363,f982,f264,f243,f191,f53893]) ).
tff(f53893,plain,
( spl11_800
<=> $less(0,$uminus($sum(-1,sF5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_800])]) ).
tff(f53523,plain,
( ~ $less(0,$uminus($sum(-1,sF5)))
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(forward_demodulation,[],[f53505,f47]) ).
tff(f53505,plain,
( ~ $less(0,$uminus($sum(sF5,-1)))
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(evaluation,[],[f53502]) ).
tff(f53502,plain,
( ~ $less(0,$uminus($sum(sF5,$uminus(1))))
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(superposition,[],[f41282,f465]) ).
tff(f41282,plain,
( ! [X13: $int] : ~ $less(0,$sum(1,$sum(X13,$uminus($sum(sF5,X13)))))
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(forward_demodulation,[],[f41244,f48]) ).
tff(f41244,plain,
( ! [X13: $int] : ~ $less(0,$sum($sum(1,X13),$uminus($sum(sF5,X13))))
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(superposition,[],[f40600,f448]) ).
tff(f53735,plain,
( spl11_450
| ~ spl11_13
| ~ spl11_14
| ~ spl11_20
| ~ spl11_47
| spl11_106
| spl11_292 ),
inference(avatar_split_clause,[],[f53648,f13375,f1726,f856,f301,f243,f239,f29185]) ).
tff(f29185,plain,
( spl11_450
<=> ( mod1($sum(sF4,sF5),sF3) = mod1(sF5,sF3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_450])]) ).
tff(f239,plain,
( spl11_13
<=> ( $product(sF3,sF3) = sF4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_13])]) ).
tff(f856,plain,
( spl11_47
<=> $less(0,sF3) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_47])]) ).
tff(f53648,plain,
( ( mod1($sum(sF4,sF5),sF3) = mod1(sF5,sF3) )
| ~ spl11_13
| ~ spl11_14
| ~ spl11_20
| ~ spl11_47
| spl11_106
| spl11_292 ),
inference(forward_demodulation,[],[f53647,f47]) ).
tff(f53647,plain,
( ( mod1($sum(sF5,sF4),sF3) = mod1(sF5,sF3) )
| ~ spl11_13
| ~ spl11_14
| ~ spl11_20
| ~ spl11_47
| spl11_106
| spl11_292 ),
inference(forward_demodulation,[],[f53646,f302]) ).
tff(f53646,plain,
( ( mod1($sum(sF5,sF4),sF3) = mod1($sum(1,sK1),sF3) )
| ~ spl11_13
| ~ spl11_14
| ~ spl11_20
| ~ spl11_47
| spl11_106
| spl11_292 ),
inference(subsumption_resolution,[],[f53645,f13376]) ).
tff(f53645,plain,
( ( mod1($sum(sF5,sF4),sF3) = mod1($sum(1,sK1),sF3) )
| $less(sF5,0)
| ~ spl11_13
| ~ spl11_14
| ~ spl11_20
| ~ spl11_47
| spl11_106 ),
inference(forward_demodulation,[],[f53596,f302]) ).
tff(f53596,plain,
( $less($sum(1,sK1),0)
| ( mod1($sum(sF5,sF4),sF3) = mod1($sum(1,sK1),sF3) )
| ~ spl11_13
| ~ spl11_14
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f43203,f448]) ).
tff(f43203,plain,
( ! [X313: $int,X312: $int] :
( ( mod1($sum(X312,X313),sF3) = mod1($sum(X313,$sum(X312,sF4)),sF3) )
| $less($sum(X312,X313),0) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f4186,f442]) ).
tff(f4186,plain,
( ! [X0: $int] :
( ( mod1(X0,sF3) = mod1($sum(X0,sF4),sF3) )
| $less(X0,0) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f4180,f47]) ).
tff(f4180,plain,
( ! [X5: $int] :
( ( mod1(X5,sF3) = mod1($sum(sF4,X5),sF3) )
| $less(X5,0) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(subsumption_resolution,[],[f4179,f857]) ).
tff(f857,plain,
( $less(0,sF3)
| ~ spl11_47 ),
inference(avatar_component_clause,[],[f856]) ).
tff(f4179,plain,
( ! [X5: $int] :
( ( mod1(X5,sF3) = mod1($sum(sF4,X5),sF3) )
| $less(X5,0)
| ~ $less(0,sF3) )
| ~ spl11_13
| spl11_106 ),
inference(subsumption_resolution,[],[f4172,f3891]) ).
tff(f4172,plain,
( ! [X5: $int] :
( ( mod1(X5,sF3) = mod1($sum(sF4,X5),sF3) )
| $less(X5,0)
| $less(sF3,0)
| ~ $less(0,sF3) )
| ~ spl11_13 ),
inference(superposition,[],[f147,f240]) ).
tff(f240,plain,
( ( $product(sF3,sF3) = sF4 )
| ~ spl11_13 ),
inference(avatar_component_clause,[],[f239]) ).
tff(f53722,plain,
( ~ spl11_799
| ~ spl11_2
| ~ spl11_19
| ~ spl11_20
| spl11_58
| ~ spl11_263
| spl11_402 ),
inference(avatar_split_clause,[],[f53553,f20251,f9363,f982,f301,f264,f191,f53720]) ).
tff(f53720,plain,
( spl11_799
<=> $less(0,$uminus(sF5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_799])]) ).
tff(f20251,plain,
( spl11_402
<=> $less(sK1,-1) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_402])]) ).
tff(f53553,plain,
( ~ $less(0,$uminus(sF5))
| ~ spl11_2
| ~ spl11_19
| ~ spl11_20
| spl11_58
| ~ spl11_263
| spl11_402 ),
inference(subsumption_resolution,[],[f53550,f20252]) ).
tff(f20252,plain,
( ~ $less(sK1,-1)
| spl11_402 ),
inference(avatar_component_clause,[],[f20251]) ).
tff(f53550,plain,
( ~ $less(0,$uminus(sF5))
| $less(sK1,-1)
| ~ spl11_2
| ~ spl11_19
| ~ spl11_20
| spl11_58
| ~ spl11_263 ),
inference(evaluation,[],[f53541]) ).
tff(f53541,plain,
( $less(sK1,$uminus(1))
| ~ $less(0,$uminus(sF5))
| ~ spl11_2
| ~ spl11_19
| ~ spl11_20
| spl11_58
| ~ spl11_263 ),
inference(superposition,[],[f41909,f302]) ).
tff(f41909,plain,
( ! [X1: $int] :
( ~ $less(0,$uminus($sum(X1,sK1)))
| $less(sK1,$uminus(X1)) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(superposition,[],[f40591,f50]) ).
tff(f40591,plain,
( ! [X19: $int] :
( ~ $less(0,$sum($uminus(sK1),X19))
| $less(sK1,X19) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(superposition,[],[f39870,f465]) ).
tff(f53567,plain,
( ~ spl11_797
| spl11_798
| ~ spl11_2
| ~ spl11_17
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f53543,f9363,f982,f264,f255,f191,f53565,f53562]) ).
tff(f53565,plain,
( spl11_798
<=> $less(sK1,$uminus(sF7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_798])]) ).
tff(f53543,plain,
( $less(sK1,$uminus(sF7))
| ~ $less(0,$uminus(sF8))
| ~ spl11_2
| ~ spl11_17
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(superposition,[],[f41909,f256]) ).
tff(f53266,plain,
( spl11_792
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_359 ),
inference(avatar_split_clause,[],[f44996,f17088,f9363,f982,f264,f243,f191,f52733]) ).
tff(f52733,plain,
( spl11_792
<=> $less($uminus($sum(sK1,sF5)),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_792])]) ).
tff(f17088,plain,
( spl11_359
<=> $less($uminus(sK1),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_359])]) ).
tff(f44996,plain,
( $less($uminus($sum(sK1,sF5)),sF10)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_359 ),
inference(forward_demodulation,[],[f44995,f47]) ).
tff(f44995,plain,
( $less($uminus($sum(sF5,sK1)),sF10)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_359 ),
inference(forward_demodulation,[],[f44994,f50]) ).
tff(f44994,plain,
( $less($sum($uminus(sK1),$uminus(sF5)),sF10)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_359 ),
inference(forward_demodulation,[],[f44632,f47]) ).
tff(f44632,plain,
( $less($sum($uminus(sF5),$uminus(sK1)),sF10)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_359 ),
inference(resolution,[],[f41880,f17914]) ).
tff(f17914,plain,
( ! [X1: $int] :
( ~ $less(X1,$uminus(sK1))
| $less(X1,sF10) )
| ~ spl11_359 ),
inference(resolution,[],[f17089,f53]) ).
tff(f17089,plain,
( $less($uminus(sK1),sF10)
| ~ spl11_359 ),
inference(avatar_component_clause,[],[f17088]) ).
tff(f53250,plain,
( spl11_796
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_322 ),
inference(avatar_split_clause,[],[f44957,f16382,f9363,f982,f264,f243,f191,f53248]) ).
tff(f53248,plain,
( spl11_796
<=> $less($sum(-1,$uminus(sF5)),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_796])]) ).
tff(f16382,plain,
( spl11_322
<=> $less(-1,sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_322])]) ).
tff(f44957,plain,
( $less($sum(-1,$uminus(sF5)),sF10)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_322 ),
inference(forward_demodulation,[],[f44748,f47]) ).
tff(f44748,plain,
( $less($sum($uminus(sF5),-1),sF10)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_322 ),
inference(resolution,[],[f41880,f16464]) ).
tff(f16464,plain,
( ! [X1: $int] :
( ~ $less(X1,-1)
| $less(X1,sF10) )
| ~ spl11_322 ),
inference(resolution,[],[f16383,f53]) ).
tff(f16383,plain,
( $less(-1,sF10)
| ~ spl11_322 ),
inference(avatar_component_clause,[],[f16382]) ).
tff(f52854,plain,
( spl11_795
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_464 ),
inference(avatar_split_clause,[],[f44883,f30448,f9363,f982,f264,f243,f191,f52852]) ).
tff(f52852,plain,
( spl11_795
<=> $less($sum(sK1,$uminus(sF5)),sF5) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_795])]) ).
tff(f30448,plain,
( spl11_464
<=> $less(sK1,sF5) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_464])]) ).
tff(f44883,plain,
( $less($sum(sK1,$uminus(sF5)),sF5)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_464 ),
inference(forward_demodulation,[],[f44724,f47]) ).
tff(f44724,plain,
( $less($sum($uminus(sF5),sK1),sF5)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_464 ),
inference(resolution,[],[f41880,f31664]) ).
tff(f31664,plain,
( ! [X3: $int] :
( ~ $less(X3,sK1)
| $less(X3,sF5) )
| ~ spl11_464 ),
inference(resolution,[],[f30449,f53]) ).
tff(f30449,plain,
( $less(sK1,sF5)
| ~ spl11_464 ),
inference(avatar_component_clause,[],[f30448]) ).
tff(f52821,plain,
( spl11_794
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_156
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f44871,f9363,f3460,f982,f264,f243,f191,f52819]) ).
tff(f52819,plain,
( spl11_794
<=> $less($sum(sF3,$uminus(sF5)),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_794])]) ).
tff(f3460,plain,
( spl11_156
<=> $less(sF3,sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_156])]) ).
tff(f44871,plain,
( $less($sum(sF3,$uminus(sF5)),sF10)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_156
| ~ spl11_263 ),
inference(forward_demodulation,[],[f44731,f47]) ).
tff(f44731,plain,
( $less($sum($uminus(sF5),sF3),sF10)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_156
| ~ spl11_263 ),
inference(resolution,[],[f41880,f4107]) ).
tff(f4107,plain,
( ! [X0: $int] :
( ~ $less(X0,sF3)
| $less(X0,sF10) )
| ~ spl11_156 ),
inference(resolution,[],[f3461,f53]) ).
tff(f3461,plain,
( $less(sF3,sF10)
| ~ spl11_156 ),
inference(avatar_component_clause,[],[f3460]) ).
tff(f52789,plain,
( spl11_793
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_361 ),
inference(avatar_split_clause,[],[f44849,f17809,f9363,f982,f264,f243,f191,f52787]) ).
tff(f52787,plain,
( spl11_793
<=> $less($uminus($sum(sK2,sF5)),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_793])]) ).
tff(f17809,plain,
( spl11_361
<=> $less($uminus(sK2),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_361])]) ).
tff(f44849,plain,
( $less($uminus($sum(sK2,sF5)),sF10)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_361 ),
inference(forward_demodulation,[],[f44848,f47]) ).
tff(f44848,plain,
( $less($uminus($sum(sF5,sK2)),sF10)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_361 ),
inference(forward_demodulation,[],[f44847,f50]) ).
tff(f44847,plain,
( $less($sum($uminus(sK2),$uminus(sF5)),sF10)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_361 ),
inference(forward_demodulation,[],[f44639,f47]) ).
tff(f44639,plain,
( $less($sum($uminus(sF5),$uminus(sK2)),sF10)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_361 ),
inference(resolution,[],[f41880,f17919]) ).
tff(f17919,plain,
( ! [X1: $int] :
( ~ $less(X1,$uminus(sK2))
| $less(X1,sF10) )
| ~ spl11_361 ),
inference(resolution,[],[f17810,f53]) ).
tff(f17810,plain,
( $less($uminus(sK2),sF10)
| ~ spl11_361 ),
inference(avatar_component_clause,[],[f17809]) ).
tff(f52735,plain,
( spl11_792
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_438
| ~ spl11_542 ),
inference(avatar_split_clause,[],[f52165,f41453,f28359,f9363,f982,f264,f243,f191,f52733]) ).
tff(f28359,plain,
( spl11_438
<=> $less(0,abs1(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_438])]) ).
tff(f41453,plain,
( spl11_542
<=> ( 0 = div1(0,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_542])]) ).
tff(f52165,plain,
( $less($uminus($sum(sK1,sF5)),sF10)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_438
| ~ spl11_542 ),
inference(forward_demodulation,[],[f52093,f47]) ).
tff(f52093,plain,
( $less($uminus($sum(sF5,sK1)),sF10)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_438
| ~ spl11_542 ),
inference(resolution,[],[f51393,f30656]) ).
tff(f30656,plain,
( ! [X2: $int] :
( ~ $less($sum(sK1,X2),0)
| $less(X2,sF10) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_438 ),
inference(subsumption_resolution,[],[f30647,f983]) ).
tff(f30647,plain,
( ! [X2: $int] :
( ~ $less($sum(sK1,X2),0)
| $less(X2,sF10)
| $less(sK1,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_438 ),
inference(superposition,[],[f29352,f126]) ).
tff(f126,plain,
! [X0: $int] :
( ( abs1(X0) = X0 )
| $less(X0,0) ),
inference(cnf_transformation,[],[f106]) ).
tff(f29352,plain,
( ! [X15: $int] :
( ~ $less($sum(abs1(sK1),X15),0)
| $less(X15,sF10) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_438 ),
inference(resolution,[],[f29317,f28366]) ).
tff(f28366,plain,
( ! [X2: $int] :
( $less(X2,abs1(sK1))
| ~ $less(X2,0) )
| ~ spl11_438 ),
inference(resolution,[],[f28360,f53]) ).
tff(f28360,plain,
( $less(0,abs1(sK1))
| ~ spl11_438 ),
inference(avatar_component_clause,[],[f28359]) ).
tff(f29317,plain,
( ! [X14: $int,X15: $int] :
( ~ $less($sum(X14,X15),X14)
| $less(X15,sF10) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(evaluation,[],[f29314]) ).
tff(f29314,plain,
( ! [X14: $int,X15: $int] :
( $less(X15,sF10)
| ~ $less($sum($uminus($uminus(X14)),X15),X14) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f29069,f465]) ).
tff(f29069,plain,
( ! [X2: $int,X1: $int] :
( $less($sum($uminus(X2),X1),sF10)
| ~ $less(X1,X2) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f29017,f47]) ).
tff(f29017,plain,
( ! [X18: $int,X17: $int] :
( $less($sum(X17,$uminus(X18)),sF10)
| ~ $less(X17,X18) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(resolution,[],[f414,f1404]) ).
tff(f1404,plain,
( ! [X0: $int] :
( ~ $less(X0,0)
| $less(X0,sF10) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(subsumption_resolution,[],[f1402,f192]) ).
tff(f1402,plain,
( ! [X0: $int] :
( ~ $less(X0,0)
| $less(X0,sF10)
| ~ $less(0,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(evaluation,[],[f1398]) ).
tff(f1398,plain,
( ! [X0: $int] :
( ~ $less(X0,0)
| $less(0,0)
| $less(X0,sF10)
| ~ $less(0,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1321,f49]) ).
tff(f1321,plain,
( ! [X0: $int,X1: $int] :
( $less(X1,$sum(sF10,X0))
| $less(X0,0)
| ~ $less(X0,sK1)
| ~ $less(X1,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(resolution,[],[f1255,f53]) ).
tff(f1255,plain,
( ! [X0: $int] :
( $less(0,$sum(sF10,X0))
| $less(X0,0)
| ~ $less(X0,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(subsumption_resolution,[],[f1254,f192]) ).
tff(f1254,plain,
( ! [X0: $int] :
( ~ $less(0,sK1)
| $less(X0,0)
| $less(0,$sum(sF10,X0))
| ~ $less(X0,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f1252,f49]) ).
tff(f1252,plain,
( ! [X0: $int] :
( ~ $less(X0,sK1)
| $less(0,$sum(sF10,X0))
| $less(X0,0)
| ~ $less(0,$sum(sK1,0)) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(duplicate_literal_removal,[],[f1247]) ).
tff(f1247,plain,
( ! [X0: $int] :
( ~ $less(X0,sK1)
| $less(X0,0)
| $less(X0,0)
| ~ $less(0,$sum(sK1,0))
| $less(0,$sum(sF10,X0)) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1154,f156]) ).
tff(f1154,plain,
( ! [X5: $int] :
( ~ $less(0,$sum(sK1,div1(X5,sK1)))
| $less(0,$sum(sF10,X5))
| $less(X5,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(subsumption_resolution,[],[f1151,f192]) ).
tff(f1151,plain,
( ! [X5: $int] :
( ~ $less(0,$sum(sK1,div1(X5,sK1)))
| ~ $less(0,sK1)
| $less(X5,0)
| $less(0,$sum(sF10,X5)) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f140,f1119]) ).
tff(f140,plain,
! [X0: $int,X1: $int] :
( ~ $less(0,div1(X0,X1))
| ~ $less(0,X1)
| $less(0,X0) ),
inference(cnf_transformation,[],[f95]) ).
tff(f95,plain,
! [X0: $int,X1: $int] :
( ~ $less(0,X1)
| ~ $less(0,div1(X0,X1))
| $less(0,X0) ),
inference(flattening,[],[f94]) ).
tff(f94,plain,
! [X0: $int,X1: $int] :
( ~ $less(0,div1(X0,X1))
| $less(0,X0)
| ~ $less(0,X1) ),
inference(ennf_transformation,[],[f65]) ).
tff(f65,plain,
! [X0: $int,X1: $int] :
( ( ~ $less(0,X0)
& $less(0,X1) )
=> ~ $less(0,div1(X0,X1)) ),
inference(rectify,[],[f32]) ).
tff(f32,plain,
! [X1: $int,X7: $int] :
( ( $less(0,X7)
& ~ $less(0,X1) )
=> ~ $less(0,div1(X1,X7)) ),
inference(theory_normalization,[],[f16]) ).
tff(f16,axiom,
! [X1: $int,X7: $int] :
( ( $less(0,X7)
& $lesseq(X1,0) )
=> $lesseq(div1(X1,X7),0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',div_sign_neg) ).
tff(f414,plain,
! [X2: $int,X3: $int] :
( $less($sum(X3,$uminus(X2)),0)
| ~ $less(X3,X2) ),
inference(superposition,[],[f55,f51]) ).
tff(f51393,plain,
( ! [X6: $int] : $less($sum(X6,$uminus($sum(sF5,X6))),0)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_542 ),
inference(subsumption_resolution,[],[f51384,f983]) ).
tff(f51384,plain,
( ! [X6: $int] :
( $less($sum(X6,$uminus($sum(sF5,X6))),0)
| $less(sK1,0) )
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_542 ),
inference(superposition,[],[f51355,f452]) ).
tff(f51355,plain,
( ! [X8: $int] :
( $less(sK1,$sum(sF5,X8))
| $less(X8,0) )
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_542 ),
inference(forward_demodulation,[],[f39544,f41454]) ).
tff(f41454,plain,
( ( 0 = div1(0,sK1) )
| ~ spl11_542 ),
inference(avatar_component_clause,[],[f41453]) ).
tff(f39544,plain,
( ! [X8: $int] :
( $less(X8,div1(0,sK1))
| $less(sK1,$sum(sF5,X8)) )
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(forward_demodulation,[],[f39543,f448]) ).
tff(f39543,plain,
( ! [X8: $int] :
( $less(sK1,$sum(sK1,$sum(1,X8)))
| $less(X8,div1(0,sK1)) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(forward_demodulation,[],[f39513,f47]) ).
tff(f39513,plain,
( ! [X8: $int] :
( $less(X8,div1(0,sK1))
| $less(sK1,$sum($sum(1,X8),sK1)) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(resolution,[],[f39255,f328]) ).
tff(f52650,plain,
( spl11_791
| ~ spl11_179
| ~ spl11_748 ),
inference(avatar_split_clause,[],[f51408,f51361,f4358,f52648]) ).
tff(f52648,plain,
( spl11_791
<=> $less($product(sK1,sF7),sF7) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_791])]) ).
tff(f51361,plain,
( spl11_748
<=> $less($product(sK1,sF7),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_748])]) ).
tff(f51408,plain,
( $less($product(sK1,sF7),sF7)
| ~ spl11_179
| ~ spl11_748 ),
inference(resolution,[],[f51362,f4486]) ).
tff(f4486,plain,
( ! [X0: $int] :
( ~ $less(X0,0)
| $less(X0,sF7) )
| ~ spl11_179 ),
inference(resolution,[],[f4359,f53]) ).
tff(f51362,plain,
( $less($product(sK1,sF7),0)
| ~ spl11_748 ),
inference(avatar_component_clause,[],[f51361]) ).
tff(f52646,plain,
( spl11_790
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| spl11_106
| ~ spl11_263
| ~ spl11_458
| ~ spl11_542 ),
inference(avatar_split_clause,[],[f52154,f41453,f29881,f9363,f1726,f982,f264,f243,f191,f52644]) ).
tff(f52644,plain,
( spl11_790
<=> $less($uminus($sum(sF3,sF5)),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_790])]) ).
tff(f29881,plain,
( spl11_458
<=> $less(0,abs1(sF3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_458])]) ).
tff(f52154,plain,
( $less($uminus($sum(sF3,sF5)),sF10)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| spl11_106
| ~ spl11_263
| ~ spl11_458
| ~ spl11_542 ),
inference(forward_demodulation,[],[f52094,f47]) ).
tff(f52094,plain,
( $less($uminus($sum(sF5,sF3)),sF10)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| spl11_106
| ~ spl11_263
| ~ spl11_458
| ~ spl11_542 ),
inference(resolution,[],[f51393,f30974]) ).
tff(f30974,plain,
( ! [X2: $int] :
( ~ $less($sum(sF3,X2),0)
| $less(X2,sF10) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_106
| ~ spl11_458 ),
inference(subsumption_resolution,[],[f30965,f3891]) ).
tff(f30965,plain,
( ! [X2: $int] :
( $less(X2,sF10)
| $less(sF3,0)
| ~ $less($sum(sF3,X2),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_458 ),
inference(superposition,[],[f29906,f126]) ).
tff(f29906,plain,
( ! [X8: $int] :
( ~ $less($sum(abs1(sF3),X8),0)
| $less(X8,sF10) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_458 ),
inference(resolution,[],[f29888,f29317]) ).
tff(f29888,plain,
( ! [X2: $int] :
( $less(X2,abs1(sF3))
| ~ $less(X2,0) )
| ~ spl11_458 ),
inference(resolution,[],[f29882,f53]) ).
tff(f29882,plain,
( $less(0,abs1(sF3))
| ~ spl11_458 ),
inference(avatar_component_clause,[],[f29881]) ).
tff(f52642,plain,
( ~ spl11_789
| ~ spl11_15
| spl11_176
| ~ spl11_293 ),
inference(avatar_split_clause,[],[f52631,f13385,f4303,f247,f52640]) ).
tff(f52640,plain,
( spl11_789
<=> $less(div1(sF6,sF5),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_789])]) ).
tff(f247,plain,
( spl11_15
<=> ( sF6 = $product(sF5,sF5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_15])]) ).
tff(f4303,plain,
( spl11_176
<=> $less(sF6,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_176])]) ).
tff(f13385,plain,
( spl11_293
<=> $less(0,sF5) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_293])]) ).
tff(f52631,plain,
( ~ $less(div1(sF6,sF5),0)
| ~ spl11_15
| spl11_176
| ~ spl11_293 ),
inference(subsumption_resolution,[],[f52630,f4304]) ).
tff(f4304,plain,
( ~ $less(sF6,0)
| spl11_176 ),
inference(avatar_component_clause,[],[f4303]) ).
tff(f52630,plain,
( ~ $less(div1(sF6,sF5),0)
| $less(sF6,0)
| ~ spl11_15
| spl11_176
| ~ spl11_293 ),
inference(forward_demodulation,[],[f52629,f248]) ).
tff(f248,plain,
( ( sF6 = $product(sF5,sF5) )
| ~ spl11_15 ),
inference(avatar_component_clause,[],[f247]) ).
tff(f52629,plain,
( $less($product(sF5,sF5),0)
| ~ $less(div1(sF6,sF5),0)
| ~ spl11_15
| spl11_176
| ~ spl11_293 ),
inference(forward_demodulation,[],[f52628,f274]) ).
tff(f52628,plain,
( ~ $less(div1(sF6,sF5),0)
| $less($product(sF5,$sum(0,sF5)),0)
| ~ spl11_15
| spl11_176
| ~ spl11_293 ),
inference(evaluation,[],[f52620]) ).
tff(f52620,plain,
( $less($product(sF5,$sum(0,sF5)),0)
| $less(0,0)
| ~ $less(div1(sF6,sF5),0)
| ~ spl11_15
| spl11_176
| ~ spl11_293 ),
inference(superposition,[],[f50461,f274]) ).
tff(f50461,plain,
( ! [X3: $int] :
( ~ $less($sum(X3,div1(sF6,sF5)),0)
| $less($product(sF5,$sum(X3,sF5)),0)
| $less(X3,0) )
| ~ spl11_15
| spl11_176
| ~ spl11_293 ),
inference(subsumption_resolution,[],[f50454,f14150]) ).
tff(f14150,plain,
( $less(0,sF5)
| ~ spl11_293 ),
inference(avatar_component_clause,[],[f13385]) ).
tff(f50454,plain,
( ! [X3: $int] :
( ~ $less(0,sF5)
| $less(X3,0)
| ~ $less($sum(X3,div1(sF6,sF5)),0)
| $less($product(sF5,$sum(X3,sF5)),0) )
| ~ spl11_15
| spl11_176
| ~ spl11_293 ),
inference(superposition,[],[f144,f50246]) ).
tff(f50246,plain,
( ! [X0: $int] :
( ( $sum(X0,div1(sF6,sF5)) = div1($product(sF5,$sum(X0,sF5)),sF5) )
| $less(X0,0) )
| ~ spl11_15
| spl11_176
| ~ spl11_293 ),
inference(subsumption_resolution,[],[f50245,f14150]) ).
tff(f50245,plain,
( ! [X0: $int] :
( ~ $less(0,sF5)
| $less(X0,0)
| ( $sum(X0,div1(sF6,sF5)) = div1($product(sF5,$sum(X0,sF5)),sF5) ) )
| ~ spl11_15
| spl11_176 ),
inference(subsumption_resolution,[],[f50213,f4304]) ).
tff(f50213,plain,
( ! [X0: $int] :
( $less(sF6,0)
| $less(X0,0)
| ~ $less(0,sF5)
| ( $sum(X0,div1(sF6,sF5)) = div1($product(sF5,$sum(X0,sF5)),sF5) ) )
| ~ spl11_15 ),
inference(superposition,[],[f151,f1065]) ).
tff(f1065,plain,
( ! [X1: $int] : ( $sum($product(sF5,X1),sF6) = $product(sF5,$sum(X1,sF5)) )
| ~ spl11_15 ),
inference(superposition,[],[f62,f248]) ).
tff(f62,plain,
! [X2: $int,X0: $int,X1: $int] : ( $product(X0,$sum(X1,X2)) = $sum($product(X0,X1),$product(X0,X2)) ),
introduced(theory_axiom_155,[]) ).
tff(f144,plain,
! [X0: $int,X1: $int] :
( ~ $less(div1(X1,X0),0)
| $less(X1,0)
| ~ $less(0,X0) ),
inference(cnf_transformation,[],[f93]) ).
tff(f93,plain,
! [X1: $int,X0: $int] :
( $less(X1,0)
| ( ~ $less(div1(X1,X0),0)
& ~ $less(X1,div1(X1,X0)) )
| ~ $less(0,X0) ),
inference(flattening,[],[f92]) ).
tff(f92,plain,
! [X0: $int,X1: $int] :
( ( ~ $less(div1(X1,X0),0)
& ~ $less(X1,div1(X1,X0)) )
| ~ $less(0,X0)
| $less(X1,0) ),
inference(ennf_transformation,[],[f84]) ).
tff(f84,plain,
! [X0: $int,X1: $int] :
( ( $less(0,X0)
& ~ $less(X1,0) )
=> ( ~ $less(div1(X1,X0),0)
& ~ $less(X1,div1(X1,X0)) ) ),
inference(rectify,[],[f43]) ).
tff(f43,plain,
! [X7: $int,X1: $int] :
( ( ~ $less(X1,0)
& $less(0,X7) )
=> ( ~ $less(X1,div1(X1,X7))
& ~ $less(div1(X1,X7),0) ) ),
inference(theory_normalization,[],[f13]) ).
tff(f13,axiom,
! [X7: $int,X1: $int] :
( ( $lesseq(0,X1)
& $less(0,X7) )
=> ( $lesseq(div1(X1,X7),X1)
& $lesseq(0,div1(X1,X7)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',div_bound) ).
tff(f52638,plain,
( spl11_788
| ~ spl11_47
| ~ spl11_748 ),
inference(avatar_split_clause,[],[f51404,f51361,f856,f52636]) ).
tff(f52636,plain,
( spl11_788
<=> $less($product(sK1,sF7),sF3) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_788])]) ).
tff(f51404,plain,
( $less($product(sK1,sF7),sF3)
| ~ spl11_47
| ~ spl11_748 ),
inference(resolution,[],[f51362,f861]) ).
tff(f861,plain,
( ! [X0: $int] :
( ~ $less(X0,0)
| $less(X0,sF3) )
| ~ spl11_47 ),
inference(resolution,[],[f857,f53]) ).
tff(f52579,plain,
( ~ spl11_691
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f50792,f982,f264,f191,f50280]) ).
tff(f50280,plain,
( spl11_691
<=> $less(0,$product(sK1,$uminus(sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_691])]) ).
tff(f50792,plain,
( ~ $less(0,$product(sK1,$uminus(sK1)))
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f50791,f61]) ).
tff(f61,plain,
! [X0: $int] : ( 0 = $product(X0,0) ),
introduced(theory_axiom_154,[]) ).
tff(f50791,plain,
( ~ $less($product(sK1,0),$product(sK1,$uminus(sK1)))
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f50760,f58]) ).
tff(f58,plain,
! [X0: $int,X1: $int] : ( $product(X0,X1) = $product(X1,X0) ),
introduced(theory_axiom_140,[]) ).
tff(f50760,plain,
( ~ $less($product(sK1,0),$product($uminus(sK1),sK1))
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f50177,f267]) ).
tff(f267,plain,
! [X0: $int] : ( 0 = $sum($uminus(X0),X0) ),
inference(superposition,[],[f51,f57]) ).
tff(f57,plain,
! [X0: $int] : ( $uminus($uminus(X0)) = X0 ),
introduced(theory_axiom_153,[]) ).
tff(f50177,plain,
( ! [X1: $int] : ~ $less($product(sK1,$sum(X1,sK1)),$product(X1,sK1))
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f47941,f58]) ).
tff(f47941,plain,
( ! [X55: $int] : ~ $less($product(sK1,$sum(X55,sK1)),$product(sK1,X55))
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(subsumption_resolution,[],[f47932,f52]) ).
tff(f52,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_147,[]) ).
tff(f47932,plain,
( ! [X55: $int] :
( $less(sF10,sF10)
| ~ $less($product(sK1,$sum(X55,sK1)),$product(sK1,X55)) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f29317,f680]) ).
tff(f680,plain,
( ! [X14: $int] : ( $product(sK1,$sum(X14,sK1)) = $sum($product(sK1,X14),sF10) )
| ~ spl11_19 ),
inference(superposition,[],[f62,f265]) ).
tff(f52578,plain,
( spl11_787
| ~ spl11_28
| ~ spl11_748 ),
inference(avatar_split_clause,[],[f51403,f51361,f518,f52576]) ).
tff(f52576,plain,
( spl11_787
<=> $less($product(sK1,sF7),sF8) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_787])]) ).
tff(f518,plain,
( spl11_28
<=> $less(0,sF8) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_28])]) ).
tff(f51403,plain,
( $less($product(sK1,sF7),sF8)
| ~ spl11_28
| ~ spl11_748 ),
inference(resolution,[],[f51362,f548]) ).
tff(f548,plain,
( ! [X0: $int] :
( ~ $less(X0,0)
| $less(X0,sF8) )
| ~ spl11_28 ),
inference(resolution,[],[f519,f53]) ).
tff(f519,plain,
( $less(0,sF8)
| ~ spl11_28 ),
inference(avatar_component_clause,[],[f518]) ).
tff(f52574,plain,
( spl11_786
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f52554,f9363,f982,f264,f243,f191,f52572]) ).
tff(f52572,plain,
( spl11_786
<=> $less(sK1,$sum(1,sF5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_786])]) ).
tff(f52554,plain,
( $less(sK1,$sum(1,sF5))
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(forward_demodulation,[],[f52545,f47]) ).
tff(f52545,plain,
( $less(sK1,$sum(sF5,1))
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(evaluation,[],[f52524]) ).
tff(f52524,plain,
( $less(1,0)
| $less(sK1,$sum(sF5,1))
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(resolution,[],[f40580,f56]) ).
tff(f40580,plain,
( ! [X12: $int] :
( ~ $less(0,$sum(1,X12))
| $less(sK1,$sum(sF5,X12)) )
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(superposition,[],[f39870,f448]) ).
tff(f52570,plain,
( spl11_785
| ~ spl11_26
| ~ spl11_748 ),
inference(avatar_split_clause,[],[f51402,f51361,f480,f52568]) ).
tff(f52568,plain,
( spl11_785
<=> $less($product(sK1,sF7),sF6) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_785])]) ).
tff(f480,plain,
( spl11_26
<=> $less(0,sF6) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_26])]) ).
tff(f51402,plain,
( $less($product(sK1,sF7),sF6)
| ~ spl11_26
| ~ spl11_748 ),
inference(resolution,[],[f51362,f506]) ).
tff(f506,plain,
( ! [X0: $int] :
( ~ $less(X0,0)
| $less(X0,sF6) )
| ~ spl11_26 ),
inference(resolution,[],[f481,f53]) ).
tff(f481,plain,
( $less(0,sF6)
| ~ spl11_26 ),
inference(avatar_component_clause,[],[f480]) ).
tff(f52566,plain,
( spl11_784
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_88
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f52551,f9363,f1440,f982,f264,f243,f191,f52564]) ).
tff(f52564,plain,
( spl11_784
<=> $less(sK1,$sum(sF5,sF10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_784])]) ).
tff(f52551,plain,
( $less(sK1,$sum(sF5,sF10))
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_88
| ~ spl11_263 ),
inference(subsumption_resolution,[],[f52547,f9632]) ).
tff(f52547,plain,
( ~ $less(1,sK1)
| $less(sK1,$sum(sF5,sF10))
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(evaluation,[],[f52516]) ).
tff(f52516,plain,
( $less(sK1,$sum(sF5,sF10))
| $less(1,0)
| ~ $less(1,sK1)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(resolution,[],[f40580,f1324]) ).
tff(f1324,plain,
( ! [X0: $int] :
( $less(0,$sum(X0,sF10))
| ~ $less(X0,sK1)
| $less(X0,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1255,f47]) ).
tff(f52562,plain,
( spl11_783
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| ~ spl11_21
| ~ spl11_47
| spl11_58
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f52549,f9363,f982,f856,f305,f264,f243,f191,f52560]) ).
tff(f52560,plain,
( spl11_783
<=> $less(sK1,$sum(sK2,sF5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_783])]) ).
tff(f52549,plain,
( $less(sK1,$sum(sK2,sF5))
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| ~ spl11_21
| ~ spl11_47
| spl11_58
| ~ spl11_263 ),
inference(forward_demodulation,[],[f52548,f47]) ).
tff(f52548,plain,
( $less(sK1,$sum(sF5,sK2))
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| ~ spl11_21
| ~ spl11_47
| spl11_58
| ~ spl11_263 ),
inference(subsumption_resolution,[],[f52530,f857]) ).
tff(f52530,plain,
( $less(sK1,$sum(sF5,sK2))
| ~ $less(0,sF3)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| ~ spl11_21
| spl11_58
| ~ spl11_263 ),
inference(superposition,[],[f40580,f306]) ).
tff(f52509,plain,
( ~ spl11_782
| ~ spl11_13
| ~ spl11_47
| spl11_170 ),
inference(avatar_split_clause,[],[f52502,f3897,f856,f239,f52507]) ).
tff(f52507,plain,
( spl11_782
<=> $less(div1(sF4,sF3),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_782])]) ).
tff(f3897,plain,
( spl11_170
<=> $less(sF4,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_170])]) ).
tff(f52502,plain,
( ~ $less(div1(sF4,sF3),0)
| ~ spl11_13
| ~ spl11_47
| spl11_170 ),
inference(subsumption_resolution,[],[f52501,f3898]) ).
tff(f3898,plain,
( ~ $less(sF4,0)
| spl11_170 ),
inference(avatar_component_clause,[],[f3897]) ).
tff(f52501,plain,
( ~ $less(div1(sF4,sF3),0)
| $less(sF4,0)
| ~ spl11_13
| ~ spl11_47
| spl11_170 ),
inference(forward_demodulation,[],[f52500,f240]) ).
tff(f52500,plain,
( $less($product(sF3,sF3),0)
| ~ $less(div1(sF4,sF3),0)
| ~ spl11_13
| ~ spl11_47
| spl11_170 ),
inference(forward_demodulation,[],[f52499,f274]) ).
tff(f52499,plain,
( $less($product(sF3,$sum(0,sF3)),0)
| ~ $less(div1(sF4,sF3),0)
| ~ spl11_13
| ~ spl11_47
| spl11_170 ),
inference(evaluation,[],[f52491]) ).
tff(f52491,plain,
( ~ $less(div1(sF4,sF3),0)
| $less($product(sF3,$sum(0,sF3)),0)
| $less(0,0)
| ~ spl11_13
| ~ spl11_47
| spl11_170 ),
inference(superposition,[],[f48719,f274]) ).
tff(f48719,plain,
( ! [X3: $int] :
( ~ $less($sum(X3,div1(sF4,sF3)),0)
| $less($product(sF3,$sum(X3,sF3)),0)
| $less(X3,0) )
| ~ spl11_13
| ~ spl11_47
| spl11_170 ),
inference(subsumption_resolution,[],[f48707,f857]) ).
tff(f48707,plain,
( ! [X3: $int] :
( ~ $less(0,sF3)
| $less($product(sF3,$sum(X3,sF3)),0)
| ~ $less($sum(X3,div1(sF4,sF3)),0)
| $less(X3,0) )
| ~ spl11_13
| ~ spl11_47
| spl11_170 ),
inference(superposition,[],[f144,f48143]) ).
tff(f48143,plain,
( ! [X1: $int] :
( ( $sum(X1,div1(sF4,sF3)) = div1($product(sF3,$sum(X1,sF3)),sF3) )
| $less(X1,0) )
| ~ spl11_13
| ~ spl11_47
| spl11_170 ),
inference(subsumption_resolution,[],[f48142,f3898]) ).
tff(f48142,plain,
( ! [X1: $int] :
( ( $sum(X1,div1(sF4,sF3)) = div1($product(sF3,$sum(X1,sF3)),sF3) )
| $less(X1,0)
| $less(sF4,0) )
| ~ spl11_13
| ~ spl11_47 ),
inference(subsumption_resolution,[],[f48100,f857]) ).
tff(f48100,plain,
( ! [X1: $int] :
( ~ $less(0,sF3)
| $less(X1,0)
| ( $sum(X1,div1(sF4,sF3)) = div1($product(sF3,$sum(X1,sF3)),sF3) )
| $less(sF4,0) )
| ~ spl11_13 ),
inference(superposition,[],[f151,f681]) ).
tff(f681,plain,
( ! [X15: $int] : ( $product(sF3,$sum(X15,sF3)) = $sum($product(sF3,X15),sF4) )
| ~ spl11_13 ),
inference(superposition,[],[f62,f240]) ).
tff(f52482,plain,
( spl11_781
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_289
| ~ spl11_542 ),
inference(avatar_split_clause,[],[f52458,f41453,f13112,f9363,f982,f264,f243,f191,f52480]) ).
tff(f52480,plain,
( spl11_781
<=> $less(sK1,abs1($uminus(sF5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_781])]) ).
tff(f13112,plain,
( spl11_289
<=> $less($uminus(sF5),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_289])]) ).
tff(f52458,plain,
( $less(sK1,abs1($uminus(sF5)))
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_289
| ~ spl11_542 ),
inference(subsumption_resolution,[],[f52457,f41314]) ).
tff(f41314,plain,
( $less($uminus(sF5),0)
| ~ spl11_289 ),
inference(avatar_component_clause,[],[f13112]) ).
tff(f52457,plain,
( ~ $less($uminus(sF5),0)
| $less(sK1,abs1($uminus(sF5)))
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_542 ),
inference(evaluation,[],[f52444]) ).
tff(f52444,plain,
( $less(0,0)
| ~ $less($uminus(sF5),0)
| $less(sK1,abs1($uminus(sF5)))
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_542 ),
inference(superposition,[],[f51383,f347]) ).
tff(f51383,plain,
( ! [X5: $int] :
( $less($sum($uminus(sF5),X5),0)
| $less(sK1,X5) )
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_542 ),
inference(superposition,[],[f51355,f465]) ).
tff(f52475,plain,
( spl11_780
| ~ spl11_24
| ~ spl11_748 ),
inference(avatar_split_clause,[],[f51401,f51361,f467,f52473]) ).
tff(f52473,plain,
( spl11_780
<=> $less($product(sK1,sF7),sF4) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_780])]) ).
tff(f467,plain,
( spl11_24
<=> $less(0,sF4) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_24])]) ).
tff(f51401,plain,
( $less($product(sK1,sF7),sF4)
| ~ spl11_24
| ~ spl11_748 ),
inference(resolution,[],[f51362,f474]) ).
tff(f474,plain,
( ! [X0: $int] :
( ~ $less(X0,0)
| $less(X0,sF4) )
| ~ spl11_24 ),
inference(resolution,[],[f468,f53]) ).
tff(f468,plain,
( $less(0,sF4)
| ~ spl11_24 ),
inference(avatar_component_clause,[],[f467]) ).
tff(f52471,plain,
( spl11_779
| ~ spl11_23
| ~ spl11_748 ),
inference(avatar_split_clause,[],[f51400,f51361,f397,f52469]) ).
tff(f52469,plain,
( spl11_779
<=> $less($product(sK1,sF7),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_779])]) ).
tff(f397,plain,
( spl11_23
<=> $less(0,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_23])]) ).
tff(f51400,plain,
( $less($product(sK1,sF7),sK0)
| ~ spl11_23
| ~ spl11_748 ),
inference(resolution,[],[f51362,f431]) ).
tff(f431,plain,
( ! [X0: $int] :
( ~ $less(X0,0)
| $less(X0,sK0) )
| ~ spl11_23 ),
inference(resolution,[],[f398,f53]) ).
tff(f398,plain,
( $less(0,sK0)
| ~ spl11_23 ),
inference(avatar_component_clause,[],[f397]) ).
tff(f52464,plain,
( spl11_778
| ~ spl11_2
| ~ spl11_748 ),
inference(avatar_split_clause,[],[f51399,f51361,f191,f52462]) ).
tff(f52462,plain,
( spl11_778
<=> $less($product(sK1,sF7),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_778])]) ).
tff(f51399,plain,
( $less($product(sK1,sF7),sK1)
| ~ spl11_2
| ~ spl11_748 ),
inference(resolution,[],[f51362,f358]) ).
tff(f358,plain,
( ! [X7: $int] :
( ~ $less(X7,0)
| $less(X7,sK1) )
| ~ spl11_2 ),
inference(resolution,[],[f53,f192]) ).
tff(f52404,plain,
( spl11_777
| ~ spl11_1
| ~ spl11_748 ),
inference(avatar_split_clause,[],[f51398,f51361,f187,f52402]) ).
tff(f52402,plain,
( spl11_777
<=> $less($product(sK1,sF7),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_777])]) ).
tff(f187,plain,
( spl11_1
<=> $less(0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).
tff(f51398,plain,
( $less($product(sK1,sF7),sK2)
| ~ spl11_1
| ~ spl11_748 ),
inference(resolution,[],[f51362,f357]) ).
tff(f357,plain,
( ! [X6: $int] :
( ~ $less(X6,0)
| $less(X6,sK2) )
| ~ spl11_1 ),
inference(resolution,[],[f53,f188]) ).
tff(f188,plain,
( $less(0,sK2)
| ~ spl11_1 ),
inference(avatar_component_clause,[],[f187]) ).
tff(f52400,plain,
( ~ spl11_691
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f50408,f982,f264,f191,f50280]) ).
tff(f50408,plain,
( ~ $less(0,$product(sK1,$uminus(sK1)))
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f50376,f61]) ).
tff(f50376,plain,
( ~ $less($product(sK1,0),$product(sK1,$uminus(sK1)))
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f46675,f51]) ).
tff(f46675,plain,
( ! [X56: $int] : ~ $less($product(sK1,$sum(sK1,X56)),$product(sK1,X56))
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(subsumption_resolution,[],[f46655,f52]) ).
tff(f46655,plain,
( ! [X56: $int] :
( ~ $less($product(sK1,$sum(sK1,X56)),$product(sK1,X56))
| $less(sF10,sF10) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f29358,f673]) ).
tff(f673,plain,
( ! [X14: $int] : ( $product(sK1,$sum(sK1,X14)) = $sum(sF10,$product(sK1,X14)) )
| ~ spl11_19 ),
inference(superposition,[],[f62,f265]) ).
tff(f29358,plain,
( ! [X0: $int,X1: $int] :
( ~ $less($sum(X1,X0),X0)
| $less(X1,sF10) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f29317,f47]) ).
tff(f52350,plain,
( spl11_776
| ~ spl11_179
| ~ spl11_730 ),
inference(avatar_split_clause,[],[f51281,f51242,f4358,f52348]) ).
tff(f52348,plain,
( spl11_776
<=> $less($product(sK1,sF10),sF7) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_776])]) ).
tff(f51242,plain,
( spl11_730
<=> $less($product(sK1,sF10),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_730])]) ).
tff(f51281,plain,
( $less($product(sK1,sF10),sF7)
| ~ spl11_179
| ~ spl11_730 ),
inference(resolution,[],[f51243,f4486]) ).
tff(f51243,plain,
( $less($product(sK1,sF10),0)
| ~ spl11_730 ),
inference(avatar_component_clause,[],[f51242]) ).
tff(f52346,plain,
( spl11_775
| ~ spl11_47
| ~ spl11_730 ),
inference(avatar_split_clause,[],[f51277,f51242,f856,f52344]) ).
tff(f52344,plain,
( spl11_775
<=> $less($product(sK1,sF10),sF3) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_775])]) ).
tff(f51277,plain,
( $less($product(sK1,sF10),sF3)
| ~ spl11_47
| ~ spl11_730 ),
inference(resolution,[],[f51243,f861]) ).
tff(f52342,plain,
( spl11_774
| ~ spl11_28
| ~ spl11_730 ),
inference(avatar_split_clause,[],[f51276,f51242,f518,f52340]) ).
tff(f52340,plain,
( spl11_774
<=> $less($product(sK1,sF10),sF8) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_774])]) ).
tff(f51276,plain,
( $less($product(sK1,sF10),sF8)
| ~ spl11_28
| ~ spl11_730 ),
inference(resolution,[],[f51243,f548]) ).
tff(f52338,plain,
( spl11_773
| ~ spl11_26
| ~ spl11_730 ),
inference(avatar_split_clause,[],[f51275,f51242,f480,f52336]) ).
tff(f52336,plain,
( spl11_773
<=> $less($product(sK1,sF10),sF6) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_773])]) ).
tff(f51275,plain,
( $less($product(sK1,sF10),sF6)
| ~ spl11_26
| ~ spl11_730 ),
inference(resolution,[],[f51243,f506]) ).
tff(f52334,plain,
( spl11_772
| ~ spl11_24
| ~ spl11_730 ),
inference(avatar_split_clause,[],[f51274,f51242,f467,f52332]) ).
tff(f52332,plain,
( spl11_772
<=> $less($product(sK1,sF10),sF4) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_772])]) ).
tff(f51274,plain,
( $less($product(sK1,sF10),sF4)
| ~ spl11_24
| ~ spl11_730 ),
inference(resolution,[],[f51243,f474]) ).
tff(f52330,plain,
( spl11_771
| ~ spl11_23
| ~ spl11_730 ),
inference(avatar_split_clause,[],[f51273,f51242,f397,f52328]) ).
tff(f52328,plain,
( spl11_771
<=> $less($product(sK1,sF10),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_771])]) ).
tff(f51273,plain,
( $less($product(sK1,sF10),sK0)
| ~ spl11_23
| ~ spl11_730 ),
inference(resolution,[],[f51243,f431]) ).
tff(f52326,plain,
( spl11_770
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_572 ),
inference(avatar_split_clause,[],[f48375,f44521,f9363,f982,f264,f243,f191,f52324]) ).
tff(f52324,plain,
( spl11_770
<=> $less($uminus($sum(sK0,sF5)),sF6) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_770])]) ).
tff(f44521,plain,
( spl11_572
<=> $less($uminus(sK0),sF6) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_572])]) ).
tff(f48375,plain,
( $less($uminus($sum(sK0,sF5)),sF6)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_572 ),
inference(forward_demodulation,[],[f48374,f47]) ).
tff(f48374,plain,
( $less($uminus($sum(sF5,sK0)),sF6)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_572 ),
inference(forward_demodulation,[],[f48373,f50]) ).
tff(f48373,plain,
( $less($sum($uminus(sK0),$uminus(sF5)),sF6)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_572 ),
inference(forward_demodulation,[],[f48361,f47]) ).
tff(f48361,plain,
( $less($sum($uminus(sF5),$uminus(sK0)),sF6)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_572 ),
inference(resolution,[],[f44559,f41880]) ).
tff(f44559,plain,
( ! [X2: $int] :
( ~ $less(X2,$uminus(sK0))
| $less(X2,sF6) )
| ~ spl11_572 ),
inference(resolution,[],[f44522,f53]) ).
tff(f44522,plain,
( $less($uminus(sK0),sF6)
| ~ spl11_572 ),
inference(avatar_component_clause,[],[f44521]) ).
tff(f52267,plain,
( spl11_769
| spl11_666
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_542 ),
inference(avatar_split_clause,[],[f49160,f41453,f982,f264,f191,f49790,f52265]) ).
tff(f52265,plain,
( spl11_769
<=> ( 0 = $sum(sK1,div1($product(sK1,$uminus(sK1)),sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_769])]) ).
tff(f49790,plain,
( spl11_666
<=> $less($product(sK1,$uminus(sK1)),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_666])]) ).
tff(f49160,plain,
( $less($product(sK1,$uminus(sK1)),0)
| ( 0 = $sum(sK1,div1($product(sK1,$uminus(sK1)),sK1)) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_542 ),
inference(forward_demodulation,[],[f49159,f41454]) ).
tff(f49159,plain,
( ( div1(0,sK1) = $sum(sK1,div1($product(sK1,$uminus(sK1)),sK1)) )
| $less($product(sK1,$uminus(sK1)),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f49010,f61]) ).
tff(f49010,plain,
( $less($product(sK1,$uminus(sK1)),0)
| ( div1($product(sK1,0),sK1) = $sum(sK1,div1($product(sK1,$uminus(sK1)),sK1)) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f46617,f51]) ).
tff(f46617,plain,
( ! [X1: $int] :
( ( $sum(sK1,div1($product(sK1,X1),sK1)) = div1($product(sK1,$sum(sK1,X1)),sK1) )
| $less($product(sK1,X1),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1119,f673]) ).
tff(f52263,plain,
( spl11_768
| ~ spl11_2
| ~ spl11_730 ),
inference(avatar_split_clause,[],[f51272,f51242,f191,f52261]) ).
tff(f52261,plain,
( spl11_768
<=> $less($product(sK1,sF10),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_768])]) ).
tff(f51272,plain,
( $less($product(sK1,sF10),sK1)
| ~ spl11_2
| ~ spl11_730 ),
inference(resolution,[],[f51243,f358]) ).
tff(f52259,plain,
( spl11_767
| ~ spl11_1
| ~ spl11_730 ),
inference(avatar_split_clause,[],[f51271,f51242,f187,f52257]) ).
tff(f52257,plain,
( spl11_767
<=> $less($product(sK1,sF10),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_767])]) ).
tff(f51271,plain,
( $less($product(sK1,sF10),sK2)
| ~ spl11_1
| ~ spl11_730 ),
inference(resolution,[],[f51243,f357]) ).
tff(f52255,plain,
( spl11_766
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_536 ),
inference(avatar_split_clause,[],[f48079,f40737,f9363,f982,f264,f243,f191,f52253]) ).
tff(f52253,plain,
( spl11_766
<=> $less($uminus($sum(sK1,sF5)),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_766])]) ).
tff(f40737,plain,
( spl11_536
<=> $less($uminus(sK1),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_536])]) ).
tff(f48079,plain,
( $less($uminus($sum(sK1,sF5)),sK1)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_536 ),
inference(forward_demodulation,[],[f48078,f47]) ).
tff(f48078,plain,
( $less($uminus($sum(sF5,sK1)),sK1)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_536 ),
inference(forward_demodulation,[],[f48077,f50]) ).
tff(f48077,plain,
( $less($sum($uminus(sK1),$uminus(sF5)),sK1)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_536 ),
inference(forward_demodulation,[],[f48063,f47]) ).
tff(f48063,plain,
( $less($sum($uminus(sF5),$uminus(sK1)),sK1)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_536 ),
inference(resolution,[],[f41205,f41880]) ).
tff(f41205,plain,
( ! [X2: $int] :
( ~ $less(X2,$uminus(sK1))
| $less(X2,sK1) )
| ~ spl11_536 ),
inference(resolution,[],[f40738,f53]) ).
tff(f40738,plain,
( $less($uminus(sK1),sK1)
| ~ spl11_536 ),
inference(avatar_component_clause,[],[f40737]) ).
tff(f52240,plain,
( spl11_765
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_531 ),
inference(avatar_split_clause,[],[f48036,f39998,f9363,f982,f264,f243,f191,f52238]) ).
tff(f52238,plain,
( spl11_765
<=> $less($uminus($sum(sK1,sF5)),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_765])]) ).
tff(f39998,plain,
( spl11_531
<=> $less($uminus(sK1),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_531])]) ).
tff(f48036,plain,
( $less($uminus($sum(sK1,sF5)),0)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_531 ),
inference(forward_demodulation,[],[f48035,f47]) ).
tff(f48035,plain,
( $less($uminus($sum(sF5,sK1)),0)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_531 ),
inference(forward_demodulation,[],[f48034,f50]) ).
tff(f48034,plain,
( $less($sum($uminus(sK1),$uminus(sF5)),0)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_531 ),
inference(forward_demodulation,[],[f48016,f47]) ).
tff(f48016,plain,
( $less($sum($uminus(sF5),$uminus(sK1)),0)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_531 ),
inference(resolution,[],[f40728,f41880]) ).
tff(f40728,plain,
( ! [X10: $int] :
( ~ $less(X10,$uminus(sK1))
| $less(X10,0) )
| ~ spl11_531 ),
inference(resolution,[],[f39999,f53]) ).
tff(f39999,plain,
( $less($uminus(sK1),0)
| ~ spl11_531 ),
inference(avatar_component_clause,[],[f39998]) ).
tff(f52236,plain,
( spl11_582
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_261
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f45547,f9363,f8945,f982,f264,f191,f45751]) ).
tff(f45751,plain,
( spl11_582
<=> $less($uminus($sum(sK1,sF10)),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_582])]) ).
tff(f8945,plain,
( spl11_261
<=> ! [X39: $int] :
( $less(X39,sF10)
| $less($uminus(sF10),X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_261])]) ).
tff(f45547,plain,
( $less($uminus($sum(sK1,sF10)),sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_261
| ~ spl11_263 ),
inference(forward_demodulation,[],[f45546,f47]) ).
tff(f45546,plain,
( $less($uminus($sum(sF10,sK1)),sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_261
| ~ spl11_263 ),
inference(forward_demodulation,[],[f45545,f50]) ).
tff(f45545,plain,
( $less($sum($uminus(sK1),$uminus(sF10)),sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_261
| ~ spl11_263 ),
inference(forward_demodulation,[],[f45440,f47]) ).
tff(f45440,plain,
( $less($sum($uminus(sF10),$uminus(sK1)),sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_261
| ~ spl11_263 ),
inference(resolution,[],[f42910,f8946]) ).
tff(f8946,plain,
( ! [X39: $int] :
( $less($uminus(sF10),X39)
| $less(X39,sF10) )
| ~ spl11_261 ),
inference(avatar_component_clause,[],[f8945]) ).
tff(f42910,plain,
( ! [X10: $int] : ~ $less(X10,$sum(X10,$uminus(sK1)))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(resolution,[],[f41366,f415]) ).
tff(f41366,plain,
( ! [X20: $int] : ~ $less(X20,$sum($uminus(sK1),X20))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(superposition,[],[f41220,f465]) ).
tff(f52177,plain,
( spl11_584
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_259
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f45494,f9363,f8938,f982,f264,f191,f45768]) ).
tff(f45768,plain,
( spl11_584
<=> $less($uminus($sum(sK1,sF4)),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_584])]) ).
tff(f8938,plain,
( spl11_259
<=> ! [X40: $int] :
( $less(X40,sF10)
| $less($uminus(sF4),X40) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_259])]) ).
tff(f45494,plain,
( $less($uminus($sum(sK1,sF4)),sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_259
| ~ spl11_263 ),
inference(forward_demodulation,[],[f45493,f47]) ).
tff(f45493,plain,
( $less($uminus($sum(sF4,sK1)),sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_259
| ~ spl11_263 ),
inference(forward_demodulation,[],[f45492,f50]) ).
tff(f45492,plain,
( $less($sum($uminus(sK1),$uminus(sF4)),sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_259
| ~ spl11_263 ),
inference(forward_demodulation,[],[f45432,f47]) ).
tff(f45432,plain,
( $less($sum($uminus(sF4),$uminus(sK1)),sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_259
| ~ spl11_263 ),
inference(resolution,[],[f42910,f8939]) ).
tff(f8939,plain,
( ! [X40: $int] :
( $less($uminus(sF4),X40)
| $less(X40,sF10) )
| ~ spl11_259 ),
inference(avatar_component_clause,[],[f8938]) ).
tff(f52176,plain,
( spl11_583
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f45452,f9363,f982,f264,f191,f45763]) ).
tff(f45763,plain,
( spl11_583
<=> $less($sum(-1,$uminus(sK1)),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_583])]) ).
tff(f45452,plain,
( $less($sum(-1,$uminus(sK1)),sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(resolution,[],[f42910,f38831]) ).
tff(f38831,plain,
( ! [X8: $int] :
( $less(-1,X8)
| $less(X8,sF10) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(evaluation,[],[f38825]) ).
tff(f38825,plain,
( ! [X8: $int] :
( $less($uminus(1),X8)
| $less(X8,sF10) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f29406,f465]) ).
tff(f29406,plain,
( ! [X21: $int,X20: $int] :
( $less(X21,$sum(1,$sum(X21,X20)))
| $less(X20,sF10) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f29355,f48]) ).
tff(f29355,plain,
( ! [X21: $int,X20: $int] :
( $less(X21,$sum($sum(1,X21),X20))
| $less(X20,sF10) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(resolution,[],[f29317,f328]) ).
tff(f52175,plain,
( spl11_764
| ~ spl11_179
| ~ spl11_722 ),
inference(avatar_split_clause,[],[f51204,f51188,f4358,f52173]) ).
tff(f52173,plain,
( spl11_764
<=> $less($product(sK2,sF4),sF7) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_764])]) ).
tff(f51188,plain,
( spl11_722
<=> $less($product(sK2,sF4),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_722])]) ).
tff(f51204,plain,
( $less($product(sK2,sF4),sF7)
| ~ spl11_179
| ~ spl11_722 ),
inference(resolution,[],[f51189,f4486]) ).
tff(f51189,plain,
( $less($product(sK2,sF4),0)
| ~ spl11_722 ),
inference(avatar_component_clause,[],[f51188]) ).
tff(f52171,plain,
( spl11_581
| ~ spl11_2
| ~ spl11_12
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f45451,f9363,f982,f264,f235,f191,f45747]) ).
tff(f45747,plain,
( spl11_581
<=> $less($sum(sK2,$uminus(sK1)),sF3) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_581])]) ).
tff(f45451,plain,
( $less($sum(sK2,$uminus(sK1)),sF3)
| ~ spl11_2
| ~ spl11_12
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(resolution,[],[f42910,f333]) ).
tff(f333,plain,
( ! [X7: $int] :
( $less(sK2,X7)
| $less(X7,sF3) )
| ~ spl11_12 ),
inference(superposition,[],[f56,f236]) ).
tff(f52170,plain,
( spl11_763
| ~ spl11_47
| ~ spl11_722 ),
inference(avatar_split_clause,[],[f51200,f51188,f856,f52168]) ).
tff(f52168,plain,
( spl11_763
<=> $less($product(sK2,sF4),sF3) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_763])]) ).
tff(f51200,plain,
( $less($product(sK2,sF4),sF3)
| ~ spl11_47
| ~ spl11_722 ),
inference(resolution,[],[f51189,f861]) ).
tff(f52088,plain,
( spl11_762
| ~ spl11_28
| ~ spl11_722 ),
inference(avatar_split_clause,[],[f51199,f51188,f518,f52086]) ).
tff(f52086,plain,
( spl11_762
<=> $less($product(sK2,sF4),sF8) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_762])]) ).
tff(f51199,plain,
( $less($product(sK2,sF4),sF8)
| ~ spl11_28
| ~ spl11_722 ),
inference(resolution,[],[f51189,f548]) ).
tff(f52084,plain,
( spl11_761
| ~ spl11_26
| ~ spl11_722 ),
inference(avatar_split_clause,[],[f51198,f51188,f480,f52082]) ).
tff(f52082,plain,
( spl11_761
<=> $less($product(sK2,sF4),sF6) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_761])]) ).
tff(f51198,plain,
( $less($product(sK2,sF4),sF6)
| ~ spl11_26
| ~ spl11_722 ),
inference(resolution,[],[f51189,f506]) ).
tff(f52080,plain,
( spl11_760
| ~ spl11_24
| ~ spl11_722 ),
inference(avatar_split_clause,[],[f51197,f51188,f467,f52078]) ).
tff(f52078,plain,
( spl11_760
<=> $less($product(sK2,sF4),sF4) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_760])]) ).
tff(f51197,plain,
( $less($product(sK2,sF4),sF4)
| ~ spl11_24
| ~ spl11_722 ),
inference(resolution,[],[f51189,f474]) ).
tff(f51896,plain,
( spl11_759
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_267 ),
inference(avatar_split_clause,[],[f45028,f9671,f9363,f982,f264,f243,f191,f51894]) ).
tff(f45028,plain,
( $less($sum(1,$uminus(sF5)),sK2)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_267 ),
inference(forward_demodulation,[],[f44695,f47]) ).
tff(f44695,plain,
( $less($sum($uminus(sF5),1),sK2)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_267 ),
inference(resolution,[],[f41880,f9677]) ).
tff(f51761,plain,
( spl11_758
| ~ spl11_23
| ~ spl11_722 ),
inference(avatar_split_clause,[],[f51196,f51188,f397,f51759]) ).
tff(f51759,plain,
( spl11_758
<=> $less($product(sK2,sF4),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_758])]) ).
tff(f51196,plain,
( $less($product(sK2,sF4),sK0)
| ~ spl11_23
| ~ spl11_722 ),
inference(resolution,[],[f51189,f431]) ).
tff(f51733,plain,
( spl11_757
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_75
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f45027,f9363,f1295,f982,f264,f243,f191,f51731]) ).
tff(f51731,plain,
( spl11_757
<=> $less($uminus($sum(sF5,sF10)),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_757])]) ).
tff(f1295,plain,
( spl11_75
<=> $less($uminus(sF10),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_75])]) ).
tff(f45027,plain,
( $less($uminus($sum(sF5,sF10)),sK1)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_75
| ~ spl11_263 ),
inference(forward_demodulation,[],[f45026,f47]) ).
tff(f45026,plain,
( $less($uminus($sum(sF10,sF5)),sK1)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_75
| ~ spl11_263 ),
inference(forward_demodulation,[],[f44669,f50]) ).
tff(f44669,plain,
( $less($sum($uminus(sF5),$uminus(sF10)),sK1)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_75
| ~ spl11_263 ),
inference(resolution,[],[f41880,f1360]) ).
tff(f1360,plain,
( ! [X0: $int] :
( ~ $less(X0,$uminus(sF10))
| $less(X0,sK1) )
| ~ spl11_75 ),
inference(resolution,[],[f1296,f53]) ).
tff(f1296,plain,
( $less($uminus(sF10),sK1)
| ~ spl11_75 ),
inference(avatar_component_clause,[],[f1295]) ).
tff(f51729,plain,
( spl11_756
| ~ spl11_2
| ~ spl11_722 ),
inference(avatar_split_clause,[],[f51195,f51188,f191,f51727]) ).
tff(f51727,plain,
( spl11_756
<=> $less($product(sK2,sF4),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_756])]) ).
tff(f51195,plain,
( $less($product(sK2,sF4),sK1)
| ~ spl11_2
| ~ spl11_722 ),
inference(resolution,[],[f51189,f358]) ).
tff(f51725,plain,
( spl11_755
| ~ spl11_1
| ~ spl11_722 ),
inference(avatar_split_clause,[],[f51194,f51188,f187,f51723]) ).
tff(f51723,plain,
( spl11_755
<=> $less($product(sK2,sF4),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_755])]) ).
tff(f51194,plain,
( $less($product(sK2,sF4),sK2)
| ~ spl11_1
| ~ spl11_722 ),
inference(resolution,[],[f51189,f357]) ).
tff(f51701,plain,
( spl11_754
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_88
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f45025,f9363,f1440,f982,f264,f243,f191,f51699]) ).
tff(f45025,plain,
( $less($sum(1,$uminus(sF5)),sK1)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_88
| ~ spl11_263 ),
inference(forward_demodulation,[],[f44694,f47]) ).
tff(f44694,plain,
( $less($sum($uminus(sF5),1),sK1)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_88
| ~ spl11_263 ),
inference(resolution,[],[f41880,f9642]) ).
tff(f51560,plain,
( spl11_753
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_196
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f45024,f9363,f4900,f982,f264,f243,f191,f51558]) ).
tff(f51558,plain,
( spl11_753
<=> $less($uminus($sum(sF4,sF5)),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_753])]) ).
tff(f4900,plain,
( spl11_196
<=> $less($uminus(sF4),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_196])]) ).
tff(f45024,plain,
( $less($uminus($sum(sF4,sF5)),sK2)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_196
| ~ spl11_263 ),
inference(forward_demodulation,[],[f45023,f47]) ).
tff(f45023,plain,
( $less($uminus($sum(sF5,sF4)),sK2)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_196
| ~ spl11_263 ),
inference(forward_demodulation,[],[f45022,f50]) ).
tff(f45022,plain,
( $less($sum($uminus(sF4),$uminus(sF5)),sK2)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_196
| ~ spl11_263 ),
inference(forward_demodulation,[],[f44643,f47]) ).
tff(f44643,plain,
( $less($sum($uminus(sF5),$uminus(sF4)),sK2)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_196
| ~ spl11_263 ),
inference(resolution,[],[f41880,f4977]) ).
tff(f4977,plain,
( ! [X0: $int] :
( ~ $less(X0,$uminus(sF4))
| $less(X0,sK2) )
| ~ spl11_196 ),
inference(resolution,[],[f4901,f53]) ).
tff(f4901,plain,
( $less($uminus(sF4),sK2)
| ~ spl11_196 ),
inference(avatar_component_clause,[],[f4900]) ).
tff(f51424,plain,
( spl11_752
| ~ spl11_2
| ~ spl11_8
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f45020,f9363,f982,f264,f243,f215,f191,f51422]) ).
tff(f51422,plain,
( spl11_752
<=> $less($sum(sK0,$uminus(sF5)),sF6) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_752])]) ).
tff(f215,plain,
( spl11_8
<=> $less(sK0,sF6) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_8])]) ).
tff(f45020,plain,
( $less($sum(sK0,$uminus(sF5)),sF6)
| ~ spl11_2
| ~ spl11_8
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(forward_demodulation,[],[f44714,f47]) ).
tff(f44714,plain,
( $less($sum($uminus(sF5),sK0),sF6)
| ~ spl11_2
| ~ spl11_8
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(resolution,[],[f41880,f361]) ).
tff(f361,plain,
( ! [X10: $int] :
( ~ $less(X10,sK0)
| $less(X10,sF6) )
| ~ spl11_8 ),
inference(resolution,[],[f53,f216]) ).
tff(f216,plain,
( $less(sK0,sF6)
| ~ spl11_8 ),
inference(avatar_component_clause,[],[f215]) ).
tff(f51420,plain,
( spl11_751
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_748 ),
inference(avatar_split_clause,[],[f51405,f51361,f982,f264,f191,f51418]) ).
tff(f51418,plain,
( spl11_751
<=> $less($product(sK1,sF7),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_751])]) ).
tff(f51405,plain,
( $less($product(sK1,sF7),sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_748 ),
inference(resolution,[],[f51362,f1404]) ).
tff(f51397,plain,
( spl11_750
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_138
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f45019,f9363,f2816,f982,f264,f243,f191,f51395]) ).
tff(f51395,plain,
( spl11_750
<=> $less($sum(sK2,$uminus(sF5)),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_750])]) ).
tff(f2816,plain,
( spl11_138
<=> $less(sK2,sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_138])]) ).
tff(f45019,plain,
( $less($sum(sK2,$uminus(sF5)),sF10)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_138
| ~ spl11_263 ),
inference(forward_demodulation,[],[f44728,f47]) ).
tff(f44728,plain,
( $less($sum($uminus(sF5),sK2),sF10)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_138
| ~ spl11_263 ),
inference(resolution,[],[f41880,f2961]) ).
tff(f2961,plain,
( ! [X0: $int] :
( ~ $less(X0,sK2)
| $less(X0,sF10) )
| ~ spl11_138 ),
inference(resolution,[],[f2817,f53]) ).
tff(f2817,plain,
( $less(sK2,sF10)
| ~ spl11_138 ),
inference(avatar_component_clause,[],[f2816]) ).
tff(f51366,plain,
( spl11_748
| spl11_749
| ~ spl11_2
| ~ spl11_19
| ~ spl11_22
| spl11_58
| ~ spl11_625 ),
inference(avatar_split_clause,[],[f51324,f48232,f982,f309,f264,f191,f51364,f51361]) ).
tff(f51364,plain,
( spl11_749
<=> ( 0 = mod1($product(sK1,sF7),sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_749])]) ).
tff(f309,plain,
( spl11_22
<=> ( sF8 = $sum(sK1,sF7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_22])]) ).
tff(f48232,plain,
( spl11_625
<=> ( 0 = mod1($product(sK1,sF8),sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_625])]) ).
tff(f51324,plain,
( ( 0 = mod1($product(sK1,sF7),sK1) )
| $less($product(sK1,sF7),0)
| ~ spl11_2
| ~ spl11_19
| ~ spl11_22
| spl11_58
| ~ spl11_625 ),
inference(forward_demodulation,[],[f47268,f48233]) ).
tff(f48233,plain,
( ( 0 = mod1($product(sK1,sF8),sK1) )
| ~ spl11_625 ),
inference(avatar_component_clause,[],[f48232]) ).
tff(f47268,plain,
( $less($product(sK1,sF7),0)
| ( mod1($product(sK1,sF8),sK1) = mod1($product(sK1,sF7),sK1) )
| ~ spl11_2
| ~ spl11_19
| ~ spl11_22
| spl11_58 ),
inference(superposition,[],[f46616,f310]) ).
tff(f310,plain,
( ( sF8 = $sum(sK1,sF7) )
| ~ spl11_22 ),
inference(avatar_component_clause,[],[f309]) ).
tff(f46616,plain,
( ! [X0: $int] :
( ( mod1($product(sK1,X0),sK1) = mod1($product(sK1,$sum(sK1,X0)),sK1) )
| $less($product(sK1,X0),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1116,f673]) ).
tff(f51359,plain,
( spl11_747
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_508 ),
inference(avatar_split_clause,[],[f45018,f37983,f9363,f982,f264,f243,f191,f51357]) ).
tff(f51357,plain,
( spl11_747
<=> $less($uminus($sum(sK1,sF5)),sF5) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_747])]) ).
tff(f37983,plain,
( spl11_508
<=> $less($uminus(sK1),sF5) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_508])]) ).
tff(f45018,plain,
( $less($uminus($sum(sK1,sF5)),sF5)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_508 ),
inference(forward_demodulation,[],[f45017,f47]) ).
tff(f45017,plain,
( $less($uminus($sum(sF5,sK1)),sF5)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_508 ),
inference(forward_demodulation,[],[f45016,f50]) ).
tff(f45016,plain,
( $less($sum($uminus(sK1),$uminus(sF5)),sF5)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_508 ),
inference(forward_demodulation,[],[f44637,f47]) ).
tff(f44637,plain,
( $less($sum($uminus(sF5),$uminus(sK1)),sF5)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_508 ),
inference(resolution,[],[f41880,f37997]) ).
tff(f37997,plain,
( ! [X2: $int] :
( ~ $less(X2,$uminus(sK1))
| $less(X2,sF5) )
| ~ spl11_508 ),
inference(resolution,[],[f37984,f53]) ).
tff(f37984,plain,
( $less($uminus(sK1),sF5)
| ~ spl11_508 ),
inference(avatar_component_clause,[],[f37983]) ).
tff(f51344,plain,
( spl11_746
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_131
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f45015,f9363,f2593,f982,f264,f243,f191,f51342]) ).
tff(f51342,plain,
( spl11_746
<=> $less($sum(sK2,$uminus(sF5)),sF8) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_746])]) ).
tff(f2593,plain,
( spl11_131
<=> $less(sK2,sF8) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_131])]) ).
tff(f45015,plain,
( $less($sum(sK2,$uminus(sF5)),sF8)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_131
| ~ spl11_263 ),
inference(forward_demodulation,[],[f44729,f47]) ).
tff(f44729,plain,
( $less($sum($uminus(sF5),sK2),sF8)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_131
| ~ spl11_263 ),
inference(resolution,[],[f41880,f7170]) ).
tff(f7170,plain,
( ! [X0: $int] :
( ~ $less(X0,sK2)
| $less(X0,sF8) )
| ~ spl11_131 ),
inference(resolution,[],[f2594,f53]) ).
tff(f2594,plain,
( $less(sK2,sF8)
| ~ spl11_131 ),
inference(avatar_component_clause,[],[f2593]) ).
tff(f51340,plain,
( spl11_745
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_505 ),
inference(avatar_split_clause,[],[f45014,f37446,f9363,f982,f264,f243,f191,f51338]) ).
tff(f51338,plain,
( spl11_745
<=> $less($uminus($sum(sK1,sF5)),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_745])]) ).
tff(f37446,plain,
( spl11_505
<=> $less($uminus(sK1),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_505])]) ).
tff(f45014,plain,
( $less($uminus($sum(sK1,sF5)),sK0)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_505 ),
inference(forward_demodulation,[],[f45013,f47]) ).
tff(f45013,plain,
( $less($uminus($sum(sF5,sK1)),sK0)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_505 ),
inference(forward_demodulation,[],[f45012,f50]) ).
tff(f45012,plain,
( $less($sum($uminus(sK1),$uminus(sF5)),sK0)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_505 ),
inference(forward_demodulation,[],[f44634,f47]) ).
tff(f44634,plain,
( $less($sum($uminus(sF5),$uminus(sK1)),sK0)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_505 ),
inference(resolution,[],[f41880,f37683]) ).
tff(f37683,plain,
( ! [X2: $int] :
( ~ $less(X2,$uminus(sK1))
| $less(X2,sK0) )
| ~ spl11_505 ),
inference(resolution,[],[f37447,f53]) ).
tff(f37447,plain,
( $less($uminus(sK1),sK0)
| ~ spl11_505 ),
inference(avatar_component_clause,[],[f37446]) ).
tff(f51336,plain,
( spl11_744
| ~ spl11_179
| ~ spl11_718 ),
inference(avatar_split_clause,[],[f51169,f51106,f4358,f51334]) ).
tff(f51334,plain,
( spl11_744
<=> $less($product(sK1,sF4),sF7) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_744])]) ).
tff(f51106,plain,
( spl11_718
<=> $less($product(sK1,sF4),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_718])]) ).
tff(f51169,plain,
( $less($product(sK1,sF4),sF7)
| ~ spl11_179
| ~ spl11_718 ),
inference(resolution,[],[f51107,f4486]) ).
tff(f51107,plain,
( $less($product(sK1,sF4),0)
| ~ spl11_718 ),
inference(avatar_component_clause,[],[f51106]) ).
tff(f51328,plain,
( spl11_743
| ~ spl11_47
| ~ spl11_718 ),
inference(avatar_split_clause,[],[f51165,f51106,f856,f51326]) ).
tff(f51326,plain,
( spl11_743
<=> $less($product(sK1,sF4),sF3) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_743])]) ).
tff(f51165,plain,
( $less($product(sK1,sF4),sF3)
| ~ spl11_47
| ~ spl11_718 ),
inference(resolution,[],[f51107,f861]) ).
tff(f51323,plain,
( spl11_742
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_218
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f45011,f9363,f5609,f982,f264,f243,f191,f51321]) ).
tff(f51321,plain,
( spl11_742
<=> $less($uminus($sum(sF5,sF10)),sF3) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_742])]) ).
tff(f5609,plain,
( spl11_218
<=> $less($uminus(sF10),sF3) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_218])]) ).
tff(f45011,plain,
( $less($uminus($sum(sF5,sF10)),sF3)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_218
| ~ spl11_263 ),
inference(forward_demodulation,[],[f45010,f47]) ).
tff(f45010,plain,
( $less($uminus($sum(sF10,sF5)),sF3)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_218
| ~ spl11_263 ),
inference(forward_demodulation,[],[f44677,f50]) ).
tff(f44677,plain,
( $less($sum($uminus(sF5),$uminus(sF10)),sF3)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_218
| ~ spl11_263 ),
inference(resolution,[],[f41880,f5704]) ).
tff(f5704,plain,
( ! [X0: $int] :
( ~ $less(X0,$uminus(sF10))
| $less(X0,sF3) )
| ~ spl11_218 ),
inference(resolution,[],[f5610,f53]) ).
tff(f5610,plain,
( $less($uminus(sF10),sF3)
| ~ spl11_218 ),
inference(avatar_component_clause,[],[f5609]) ).
tff(f51319,plain,
( spl11_741
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_399 ),
inference(avatar_split_clause,[],[f45007,f20216,f9363,f982,f264,f243,f191,f51317]) ).
tff(f51317,plain,
( spl11_741
<=> $less($uminus($sum(sF5,sF6)),sF6) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_741])]) ).
tff(f20216,plain,
( spl11_399
<=> $less($uminus(sF6),sF6) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_399])]) ).
tff(f45007,plain,
( $less($uminus($sum(sF5,sF6)),sF6)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_399 ),
inference(forward_demodulation,[],[f45006,f47]) ).
tff(f45006,plain,
( $less($uminus($sum(sF6,sF5)),sF6)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_399 ),
inference(forward_demodulation,[],[f44661,f50]) ).
tff(f44661,plain,
( $less($sum($uminus(sF5),$uminus(sF6)),sF6)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_399 ),
inference(resolution,[],[f41880,f21639]) ).
tff(f21639,plain,
( ! [X2: $int] :
( ~ $less(X2,$uminus(sF6))
| $less(X2,sF6) )
| ~ spl11_399 ),
inference(resolution,[],[f20217,f53]) ).
tff(f20217,plain,
( $less($uminus(sF6),sF6)
| ~ spl11_399 ),
inference(avatar_component_clause,[],[f20216]) ).
tff(f51315,plain,
( spl11_740
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_398 ),
inference(avatar_split_clause,[],[f45003,f20212,f9363,f982,f264,f243,f191,f51313]) ).
tff(f51313,plain,
( spl11_740
<=> $less($uminus($sum(sF5,sF6)),sF4) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_740])]) ).
tff(f20212,plain,
( spl11_398
<=> $less($uminus(sF6),sF4) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_398])]) ).
tff(f45003,plain,
( $less($uminus($sum(sF5,sF6)),sF4)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_398 ),
inference(forward_demodulation,[],[f45002,f47]) ).
tff(f45002,plain,
( $less($uminus($sum(sF6,sF5)),sF4)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_398 ),
inference(forward_demodulation,[],[f44660,f50]) ).
tff(f44660,plain,
( $less($sum($uminus(sF5),$uminus(sF6)),sF4)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_398 ),
inference(resolution,[],[f41880,f21630]) ).
tff(f21630,plain,
( ! [X2: $int] :
( ~ $less(X2,$uminus(sF6))
| $less(X2,sF4) )
| ~ spl11_398 ),
inference(resolution,[],[f20213,f53]) ).
tff(f20213,plain,
( $less($uminus(sF6),sF4)
| ~ spl11_398 ),
inference(avatar_component_clause,[],[f20212]) ).
tff(f51311,plain,
( spl11_738
| spl11_739
| ~ spl11_2
| ~ spl11_19
| ~ spl11_21
| spl11_58 ),
inference(avatar_split_clause,[],[f47236,f982,f305,f264,f191,f51309,f51306]) ).
tff(f51306,plain,
( spl11_738
<=> ( mod1($product(sF3,sF10),sK1) = mod1($product(sK2,sF10),sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_738])]) ).
tff(f51309,plain,
( spl11_739
<=> $less($product(sK2,sF10),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_739])]) ).
tff(f47236,plain,
( $less($product(sK2,sF10),0)
| ( mod1($product(sF3,sF10),sK1) = mod1($product(sK2,sF10),sK1) )
| ~ spl11_2
| ~ spl11_19
| ~ spl11_21
| spl11_58 ),
inference(forward_demodulation,[],[f47235,f58]) ).
tff(f47235,plain,
( $less($product(sF10,sK2),0)
| ( mod1($product(sF3,sF10),sK1) = mod1($product(sK2,sF10),sK1) )
| ~ spl11_2
| ~ spl11_19
| ~ spl11_21
| spl11_58 ),
inference(forward_demodulation,[],[f47234,f58]) ).
tff(f47234,plain,
( ( mod1($product(sK2,sF10),sK1) = mod1($product(sF10,sF3),sK1) )
| $less($product(sF10,sK2),0)
| ~ spl11_2
| ~ spl11_19
| ~ spl11_21
| spl11_58 ),
inference(forward_demodulation,[],[f47167,f58]) ).
tff(f47167,plain,
( ( mod1($product(sF10,sF3),sK1) = mod1($product(sF10,sK2),sK1) )
| $less($product(sF10,sK2),0)
| ~ spl11_2
| ~ spl11_19
| ~ spl11_21
| spl11_58 ),
inference(superposition,[],[f46470,f306]) ).
tff(f46470,plain,
( ! [X221: $int] :
( ( mod1($product(sF10,$sum(1,X221)),sK1) = mod1($product(sF10,X221),sK1) )
| $less($product(sF10,X221),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1116,f668]) ).
tff(f668,plain,
! [X0: $int,X1: $int] : ( $sum(X0,$product(X0,X1)) = $product(X0,$sum(1,X1)) ),
inference(superposition,[],[f62,f60]) ).
tff(f60,plain,
! [X0: $int] : ( $product(X0,1) = X0 ),
introduced(theory_axiom_142,[]) ).
tff(f51304,plain,
( spl11_737
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_204
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f45001,f9363,f5012,f982,f264,f243,f191,f51302]) ).
tff(f51302,plain,
( spl11_737
<=> $less($uminus($sum(sF4,sF5)),sF6) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_737])]) ).
tff(f5012,plain,
( spl11_204
<=> $less($uminus(sF4),sF6) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_204])]) ).
tff(f45001,plain,
( $less($uminus($sum(sF4,sF5)),sF6)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_204
| ~ spl11_263 ),
inference(forward_demodulation,[],[f45000,f47]) ).
tff(f45000,plain,
( $less($uminus($sum(sF5,sF4)),sF6)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_204
| ~ spl11_263 ),
inference(forward_demodulation,[],[f44999,f50]) ).
tff(f44999,plain,
( $less($sum($uminus(sF4),$uminus(sF5)),sF6)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_204
| ~ spl11_263 ),
inference(forward_demodulation,[],[f44646,f47]) ).
tff(f44646,plain,
( $less($sum($uminus(sF5),$uminus(sF4)),sF6)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_204
| ~ spl11_263 ),
inference(resolution,[],[f41880,f5148]) ).
tff(f5148,plain,
( ! [X0: $int] :
( ~ $less(X0,$uminus(sF4))
| $less(X0,sF6) )
| ~ spl11_204 ),
inference(resolution,[],[f5013,f53]) ).
tff(f5013,plain,
( $less($uminus(sF4),sF6)
| ~ spl11_204 ),
inference(avatar_component_clause,[],[f5012]) ).
tff(f51297,plain,
( spl11_736
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_392 ),
inference(avatar_split_clause,[],[f44991,f20055,f9363,f982,f264,f243,f191,f51295]) ).
tff(f51295,plain,
( spl11_736
<=> $less($uminus($sum(sF5,sF6)),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_736])]) ).
tff(f20055,plain,
( spl11_392
<=> $less($uminus(sF6),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_392])]) ).
tff(f44991,plain,
( $less($uminus($sum(sF5,sF6)),sF10)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_392 ),
inference(forward_demodulation,[],[f44990,f47]) ).
tff(f44990,plain,
( $less($uminus($sum(sF6,sF5)),sF10)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_392 ),
inference(forward_demodulation,[],[f44663,f50]) ).
tff(f44663,plain,
( $less($sum($uminus(sF5),$uminus(sF6)),sF10)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_392 ),
inference(resolution,[],[f41880,f21882]) ).
tff(f21882,plain,
( ! [X2: $int] :
( ~ $less(X2,$uminus(sF6))
| $less(X2,sF10) )
| ~ spl11_392 ),
inference(resolution,[],[f20056,f53]) ).
tff(f20056,plain,
( $less($uminus(sF6),sF10)
| ~ spl11_392 ),
inference(avatar_component_clause,[],[f20055]) ).
tff(f51293,plain,
( spl11_735
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_730 ),
inference(avatar_split_clause,[],[f51278,f51242,f982,f264,f191,f51291]) ).
tff(f51291,plain,
( spl11_735
<=> $less($product(sK1,sF10),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_735])]) ).
tff(f51278,plain,
( $less($product(sK1,sF10),sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_730 ),
inference(resolution,[],[f51243,f1404]) ).
tff(f51270,plain,
( spl11_734
| ~ spl11_2
| ~ spl11_4
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f44984,f9363,f982,f264,f243,f199,f191,f51268]) ).
tff(f51268,plain,
( spl11_734
<=> $less($sum(3,$uminus(sF5)),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_734])]) ).
tff(f199,plain,
( spl11_4
<=> $less(3,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_4])]) ).
tff(f44984,plain,
( $less($sum(3,$uminus(sF5)),sK0)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(forward_demodulation,[],[f44706,f47]) ).
tff(f44706,plain,
( $less($sum($uminus(sF5),3),sK0)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(resolution,[],[f41880,f359]) ).
tff(f359,plain,
( ! [X8: $int] :
( ~ $less(X8,3)
| $less(X8,sK0) )
| ~ spl11_4 ),
inference(resolution,[],[f53,f200]) ).
tff(f200,plain,
( $less(3,sK0)
| ~ spl11_4 ),
inference(avatar_component_clause,[],[f199]) ).
tff(f51258,plain,
( spl11_733
| ~ spl11_2
| ~ spl11_7
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f44983,f9363,f982,f264,f243,f211,f191,f51256]) ).
tff(f51256,plain,
( spl11_733
<=> $less($sum(sK0,$uminus(sF5)),sF4) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_733])]) ).
tff(f211,plain,
( spl11_7
<=> $less(sK0,sF4) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_7])]) ).
tff(f44983,plain,
( $less($sum(sK0,$uminus(sF5)),sF4)
| ~ spl11_2
| ~ spl11_7
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(forward_demodulation,[],[f44715,f47]) ).
tff(f44715,plain,
( $less($sum($uminus(sF5),sK0),sF4)
| ~ spl11_2
| ~ spl11_7
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(resolution,[],[f41880,f360]) ).
tff(f360,plain,
( ! [X9: $int] :
( ~ $less(X9,sK0)
| $less(X9,sF4) )
| ~ spl11_7 ),
inference(resolution,[],[f53,f212]) ).
tff(f212,plain,
( $less(sK0,sF4)
| ~ spl11_7 ),
inference(avatar_component_clause,[],[f211]) ).
tff(f51254,plain,
( spl11_732
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_423 ),
inference(avatar_split_clause,[],[f44981,f23314,f9363,f982,f264,f243,f191,f51252]) ).
tff(f44981,plain,
( $less($sum(1,$uminus(sF5)),sF7)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_423 ),
inference(forward_demodulation,[],[f44701,f47]) ).
tff(f44701,plain,
( $less($sum($uminus(sF5),1),sF7)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_423 ),
inference(resolution,[],[f41880,f23328]) ).
tff(f51247,plain,
( spl11_730
| spl11_731
| ~ spl11_2
| ~ spl11_19
| ~ spl11_20
| spl11_58 ),
inference(avatar_split_clause,[],[f47227,f982,f301,f264,f191,f51245,f51242]) ).
tff(f51245,plain,
( spl11_731
<=> ( mod1($product(sK1,sF10),sK1) = mod1($product(sF5,sF10),sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_731])]) ).
tff(f47227,plain,
( ( mod1($product(sK1,sF10),sK1) = mod1($product(sF5,sF10),sK1) )
| $less($product(sK1,sF10),0)
| ~ spl11_2
| ~ spl11_19
| ~ spl11_20
| spl11_58 ),
inference(forward_demodulation,[],[f47226,f58]) ).
tff(f47226,plain,
( $less($product(sK1,sF10),0)
| ( mod1($product(sF10,sK1),sK1) = mod1($product(sF5,sF10),sK1) )
| ~ spl11_2
| ~ spl11_19
| ~ spl11_20
| spl11_58 ),
inference(forward_demodulation,[],[f47225,f58]) ).
tff(f47225,plain,
( ( mod1($product(sF10,sK1),sK1) = mod1($product(sF10,sF5),sK1) )
| $less($product(sK1,sF10),0)
| ~ spl11_2
| ~ spl11_19
| ~ spl11_20
| spl11_58 ),
inference(forward_demodulation,[],[f47166,f58]) ).
tff(f47166,plain,
( $less($product(sF10,sK1),0)
| ( mod1($product(sF10,sK1),sK1) = mod1($product(sF10,sF5),sK1) )
| ~ spl11_2
| ~ spl11_19
| ~ spl11_20
| spl11_58 ),
inference(superposition,[],[f46470,f302]) ).
tff(f51240,plain,
( spl11_729
| ~ spl11_28
| ~ spl11_718 ),
inference(avatar_split_clause,[],[f51164,f51106,f518,f51238]) ).
tff(f51238,plain,
( spl11_729
<=> $less($product(sK1,sF4),sF8) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_729])]) ).
tff(f51164,plain,
( $less($product(sK1,sF4),sF8)
| ~ spl11_28
| ~ spl11_718 ),
inference(resolution,[],[f51107,f548]) ).
tff(f51236,plain,
( spl11_728
| ~ spl11_26
| ~ spl11_718 ),
inference(avatar_split_clause,[],[f51163,f51106,f480,f51234]) ).
tff(f51234,plain,
( spl11_728
<=> $less($product(sK1,sF4),sF6) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_728])]) ).
tff(f51163,plain,
( $less($product(sK1,sF4),sF6)
| ~ spl11_26
| ~ spl11_718 ),
inference(resolution,[],[f51107,f506]) ).
tff(f51232,plain,
( spl11_727
| ~ spl11_24
| ~ spl11_718 ),
inference(avatar_split_clause,[],[f51162,f51106,f467,f51230]) ).
tff(f51230,plain,
( spl11_727
<=> $less($product(sK1,sF4),sF4) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_727])]) ).
tff(f51162,plain,
( $less($product(sK1,sF4),sF4)
| ~ spl11_24
| ~ spl11_718 ),
inference(resolution,[],[f51107,f474]) ).
tff(f51227,plain,
( ~ spl11_704
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f51142,f982,f264,f191,f50943]) ).
tff(f50943,plain,
( spl11_704
<=> $less($product(2,sF10),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_704])]) ).
tff(f51142,plain,
( ~ $less($product(2,sF10),sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f51137,f58]) ).
tff(f51137,plain,
( ~ $less($product(sF10,2),sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(evaluation,[],[f51134]) ).
tff(f51134,plain,
( ~ $less($product(sF10,$sum(1,1)),sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f50888,f312]) ).
tff(f312,plain,
! [X0: $int] : ( $product(1,X0) = X0 ),
inference(superposition,[],[f58,f60]) ).
tff(f50888,plain,
( ! [X0: $int] : ~ $less($product(sF10,$sum(1,X0)),$product(X0,sF10))
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f50192,f58]) ).
tff(f50192,plain,
( ! [X0: $int] : ~ $less($product(sF10,$sum(1,X0)),$product(sF10,X0))
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f50191,f492]) ).
tff(f492,plain,
( ! [X14: $int] : ( $product(sF10,X14) = $product(sK1,$product(sK1,X14)) )
| ~ spl11_19 ),
inference(superposition,[],[f59,f265]) ).
tff(f59,plain,
! [X2: $int,X0: $int,X1: $int] : ( $product(X0,$product(X1,X2)) = $product($product(X0,X1),X2) ),
introduced(theory_axiom_141,[]) ).
tff(f50191,plain,
( ! [X0: $int] : ~ $less($product(sK1,$product(sK1,$sum(1,X0))),$product(sF10,X0))
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f50190,f668]) ).
tff(f50190,plain,
( ! [X0: $int] : ~ $less($product(sK1,$sum(sK1,$product(sK1,X0))),$product(sF10,X0))
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f50175,f47]) ).
tff(f50175,plain,
( ! [X0: $int] : ~ $less($product(sK1,$sum($product(sK1,X0),sK1)),$product(sF10,X0))
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f47941,f492]) ).
tff(f51225,plain,
( spl11_726
| ~ spl11_23
| ~ spl11_718 ),
inference(avatar_split_clause,[],[f51161,f51106,f397,f51223]) ).
tff(f51223,plain,
( spl11_726
<=> $less($product(sK1,sF4),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_726])]) ).
tff(f51161,plain,
( $less($product(sK1,sF4),sK0)
| ~ spl11_23
| ~ spl11_718 ),
inference(resolution,[],[f51107,f431]) ).
tff(f51221,plain,
( ~ spl11_705
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f51141,f982,f264,f191,f50947]) ).
tff(f50947,plain,
( spl11_705
<=> $less(0,$product(-1,sF10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_705])]) ).
tff(f51141,plain,
( ~ $less(0,$product(-1,sF10))
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f51138,f61]) ).
tff(f51138,plain,
( ~ $less($product(sF10,0),$product(-1,sF10))
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(evaluation,[],[f51122]) ).
tff(f51122,plain,
( ~ $less($product(sF10,0),$product($uminus(1),sF10))
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f50888,f51]) ).
tff(f51220,plain,
( spl11_725
| ~ spl11_2
| ~ spl11_718 ),
inference(avatar_split_clause,[],[f51160,f51106,f191,f51218]) ).
tff(f51218,plain,
( spl11_725
<=> $less($product(sK1,sF4),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_725])]) ).
tff(f51160,plain,
( $less($product(sK1,sF4),sK1)
| ~ spl11_2
| ~ spl11_718 ),
inference(resolution,[],[f51107,f358]) ).
tff(f51216,plain,
( spl11_724
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_722 ),
inference(avatar_split_clause,[],[f51201,f51188,f982,f264,f191,f51214]) ).
tff(f51214,plain,
( spl11_724
<=> $less($product(sK2,sF4),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_724])]) ).
tff(f51201,plain,
( $less($product(sK2,sF4),sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_722 ),
inference(resolution,[],[f51189,f1404]) ).
tff(f51193,plain,
( spl11_722
| spl11_723
| ~ spl11_13
| ~ spl11_21
| ~ spl11_47
| spl11_106 ),
inference(avatar_split_clause,[],[f47159,f1726,f856,f305,f239,f51191,f51188]) ).
tff(f51191,plain,
( spl11_723
<=> ( mod1($product(sF3,sF4),sF3) = mod1($product(sK2,sF4),sF3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_723])]) ).
tff(f47159,plain,
( ( mod1($product(sF3,sF4),sF3) = mod1($product(sK2,sF4),sF3) )
| $less($product(sK2,sF4),0)
| ~ spl11_13
| ~ spl11_21
| ~ spl11_47
| spl11_106 ),
inference(forward_demodulation,[],[f47158,f58]) ).
tff(f47158,plain,
( $less($product(sK2,sF4),0)
| ( mod1($product(sF4,sK2),sF3) = mod1($product(sF3,sF4),sF3) )
| ~ spl11_13
| ~ spl11_21
| ~ spl11_47
| spl11_106 ),
inference(forward_demodulation,[],[f47157,f58]) ).
tff(f47157,plain,
( $less($product(sF4,sK2),0)
| ( mod1($product(sF4,sK2),sF3) = mod1($product(sF3,sF4),sF3) )
| ~ spl11_13
| ~ spl11_21
| ~ spl11_47
| spl11_106 ),
inference(forward_demodulation,[],[f47076,f58]) ).
tff(f47076,plain,
( ( mod1($product(sF4,sK2),sF3) = mod1($product(sF4,sF3),sF3) )
| $less($product(sF4,sK2),0)
| ~ spl11_13
| ~ spl11_21
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f46460,f306]) ).
tff(f46460,plain,
( ! [X210: $int] :
( ( mod1($product(sF4,X210),sF3) = mod1($product(sF4,$sum(1,X210)),sF3) )
| $less($product(sF4,X210),0) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f4180,f668]) ).
tff(f51186,plain,
( ~ spl11_704
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f51083,f982,f264,f191,f50943]) ).
tff(f51083,plain,
( ~ $less($product(2,sF10),sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f51061,f58]) ).
tff(f51061,plain,
( ~ $less($product(sF10,2),sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(evaluation,[],[f51060]) ).
tff(f51060,plain,
( ~ $less($product(sF10,$sum(1,1)),sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f50876,f60]) ).
tff(f50876,plain,
( ! [X5: $int] : ~ $less($product(sF10,$sum(X5,1)),$product(sF10,X5))
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f50192,f47]) ).
tff(f51185,plain,
( spl11_721
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_718 ),
inference(avatar_split_clause,[],[f51166,f51106,f982,f264,f191,f51183]) ).
tff(f51183,plain,
( spl11_721
<=> $less($product(sK1,sF4),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_721])]) ).
tff(f51166,plain,
( $less($product(sK1,sF4),sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_718 ),
inference(resolution,[],[f51107,f1404]) ).
tff(f51181,plain,
( spl11_720
| ~ spl11_1
| ~ spl11_718 ),
inference(avatar_split_clause,[],[f51159,f51106,f187,f51179]) ).
tff(f51179,plain,
( spl11_720
<=> $less($product(sK1,sF4),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_720])]) ).
tff(f51159,plain,
( $less($product(sK1,sF4),sK2)
| ~ spl11_1
| ~ spl11_718 ),
inference(resolution,[],[f51107,f357]) ).
tff(f51111,plain,
( spl11_718
| spl11_719
| ~ spl11_13
| ~ spl11_20
| ~ spl11_47
| spl11_106 ),
inference(avatar_split_clause,[],[f47156,f1726,f856,f301,f239,f51109,f51106]) ).
tff(f51109,plain,
( spl11_719
<=> ( mod1($product(sF4,sF5),sF3) = mod1($product(sK1,sF4),sF3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_719])]) ).
tff(f47156,plain,
( ( mod1($product(sF4,sF5),sF3) = mod1($product(sK1,sF4),sF3) )
| $less($product(sK1,sF4),0)
| ~ spl11_13
| ~ spl11_20
| ~ spl11_47
| spl11_106 ),
inference(forward_demodulation,[],[f47155,f58]) ).
tff(f47155,plain,
( ( mod1($product(sF4,sF5),sF3) = mod1($product(sF4,sK1),sF3) )
| $less($product(sK1,sF4),0)
| ~ spl11_13
| ~ spl11_20
| ~ spl11_47
| spl11_106 ),
inference(forward_demodulation,[],[f47075,f58]) ).
tff(f47075,plain,
( $less($product(sF4,sK1),0)
| ( mod1($product(sF4,sF5),sF3) = mod1($product(sF4,sK1),sF3) )
| ~ spl11_13
| ~ spl11_20
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f46460,f302]) ).
tff(f51094,plain,
( spl11_151
| spl11_717
| ~ spl11_15 ),
inference(avatar_split_clause,[],[f1072,f247,f51092,f3436]) ).
tff(f3436,plain,
( spl11_151
<=> ( 0 = sF5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_151])]) ).
tff(f51092,plain,
( spl11_717
<=> ! [X9: $int] :
( ( sF6 != $product(sF5,X9) )
| ( sF5 = X9 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_717])]) ).
tff(f1072,plain,
( ! [X9: $int] :
( ( sF6 != $product(sF5,X9) )
| ( sF5 = X9 )
| ( 0 = sF5 ) )
| ~ spl11_15 ),
inference(superposition,[],[f740,f248]) ).
tff(f740,plain,
! [X2: $int,X3: $int,X0: $int] :
( ( $product(X0,X2) != $product(X0,X3) )
| ( 0 = X0 )
| ( X2 = X3 ) ),
inference(gaussian_variable_elimination,[],[f63]) ).
tff(f63,plain,
! [X2: $int,X3: $int,X0: $int,X1: $int] :
( ( $product(X0,X3) != X1 )
| ( $product(X0,X2) != X1 )
| ( 0 = X0 )
| ( X2 = X3 ) ),
introduced(theory_axiom_156,[]) ).
tff(f51090,plain,
( spl11_677
| ~ spl11_164
| ~ spl11_695 ),
inference(avatar_split_clause,[],[f50826,f50416,f3764,f50040]) ).
tff(f50040,plain,
( spl11_677
<=> $less($product(-1,sF10),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_677])]) ).
tff(f3764,plain,
( spl11_164
<=> $less(sF7,sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_164])]) ).
tff(f50416,plain,
( spl11_695
<=> $less($product(-1,sF10),sF7) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_695])]) ).
tff(f50826,plain,
( $less($product(-1,sF10),sF10)
| ~ spl11_164
| ~ spl11_695 ),
inference(resolution,[],[f50417,f3950]) ).
tff(f3950,plain,
( ! [X0: $int] :
( ~ $less(X0,sF7)
| $less(X0,sF10) )
| ~ spl11_164 ),
inference(resolution,[],[f3765,f53]) ).
tff(f3765,plain,
( $less(sF7,sF10)
| ~ spl11_164 ),
inference(avatar_component_clause,[],[f3764]) ).
tff(f50417,plain,
( $less($product(-1,sF10),sF7)
| ~ spl11_695 ),
inference(avatar_component_clause,[],[f50416]) ).
tff(f51089,plain,
( ~ spl11_707
| ~ spl11_2
| ~ spl11_12
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f51078,f982,f264,f235,f191,f50959]) ).
tff(f50959,plain,
( spl11_707
<=> $less($product(sF3,sF10),$product(sK2,sF10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_707])]) ).
tff(f51078,plain,
( ~ $less($product(sF3,sF10),$product(sK2,sF10))
| ~ spl11_2
| ~ spl11_12
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f51077,f58]) ).
tff(f51077,plain,
( ~ $less($product(sF10,sF3),$product(sK2,sF10))
| ~ spl11_2
| ~ spl11_12
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f51054,f58]) ).
tff(f51054,plain,
( ~ $less($product(sF10,sF3),$product(sF10,sK2))
| ~ spl11_2
| ~ spl11_12
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f50876,f236]) ).
tff(f51088,plain,
( spl11_677
| ~ spl11_10
| ~ spl11_686 ),
inference(avatar_split_clause,[],[f50750,f50259,f224,f50040]) ).
tff(f224,plain,
( spl11_10
<=> $less(sK0,sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_10])]) ).
tff(f50259,plain,
( spl11_686
<=> $less($product(-1,sF10),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_686])]) ).
tff(f50750,plain,
( $less($product(-1,sF10),sF10)
| ~ spl11_10
| ~ spl11_686 ),
inference(resolution,[],[f50260,f362]) ).
tff(f362,plain,
( ! [X11: $int] :
( ~ $less(X11,sK0)
| $less(X11,sF10) )
| ~ spl11_10 ),
inference(resolution,[],[f53,f225]) ).
tff(f225,plain,
( $less(sK0,sF10)
| ~ spl11_10 ),
inference(avatar_component_clause,[],[f224]) ).
tff(f50260,plain,
( $less($product(-1,sF10),sK0)
| ~ spl11_686 ),
inference(avatar_component_clause,[],[f50259]) ).
tff(f51087,plain,
( ~ spl11_705
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f51065,f982,f264,f191,f50947]) ).
tff(f51065,plain,
( ~ $less(0,$product(-1,sF10))
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f51064,f61]) ).
tff(f51064,plain,
( ~ $less($product(sF10,0),$product(-1,sF10))
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f51063,f58]) ).
tff(f51063,plain,
( ~ $less($product(sF10,0),$product(sF10,-1))
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(evaluation,[],[f51047]) ).
tff(f51047,plain,
( ~ $less($product(sF10,0),$product(sF10,$uminus(1)))
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f50876,f267]) ).
tff(f51086,plain,
( ~ spl11_713
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f51068,f982,f264,f243,f191,f51026]) ).
tff(f51026,plain,
( spl11_713
<=> $less($product(sF5,sF10),$product(sK1,sF10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_713])]) ).
tff(f51068,plain,
( ~ $less($product(sF5,sF10),$product(sK1,sF10))
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f51067,f58]) ).
tff(f51067,plain,
( ~ $less($product(sF10,sF5),$product(sK1,sF10))
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f51053,f58]) ).
tff(f51053,plain,
( ~ $less($product(sF10,sF5),$product(sF10,sK1))
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f50876,f244]) ).
tff(f51040,plain,
( spl11_716
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_199
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f44972,f9363,f4919,f982,f264,f243,f191,f51038]) ).
tff(f51038,plain,
( spl11_716
<=> $less($uminus($sum(sF4,sF5)),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_716])]) ).
tff(f4919,plain,
( spl11_199
<=> $less($uminus(sF4),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_199])]) ).
tff(f44972,plain,
( $less($uminus($sum(sF4,sF5)),sK0)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_199
| ~ spl11_263 ),
inference(forward_demodulation,[],[f44971,f47]) ).
tff(f44971,plain,
( $less($uminus($sum(sF5,sF4)),sK0)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_199
| ~ spl11_263 ),
inference(forward_demodulation,[],[f44970,f50]) ).
tff(f44970,plain,
( $less($sum($uminus(sF4),$uminus(sF5)),sK0)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_199
| ~ spl11_263 ),
inference(forward_demodulation,[],[f44644,f47]) ).
tff(f44644,plain,
( $less($sum($uminus(sF5),$uminus(sF4)),sK0)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_199
| ~ spl11_263 ),
inference(resolution,[],[f41880,f4991]) ).
tff(f4991,plain,
( ! [X0: $int] :
( ~ $less(X0,$uminus(sF4))
| $less(X0,sK0) )
| ~ spl11_199 ),
inference(resolution,[],[f4920,f53]) ).
tff(f4920,plain,
( $less($uminus(sF4),sK0)
| ~ spl11_199 ),
inference(avatar_component_clause,[],[f4919]) ).
tff(f51036,plain,
( spl11_715
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_108
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f44967,f9363,f1850,f982,f264,f243,f191,f51034]) ).
tff(f51034,plain,
( spl11_715
<=> $less($uminus($sum(sF5,sF10)),sF8) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_715])]) ).
tff(f1850,plain,
( spl11_108
<=> $less($uminus(sF10),sF8) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_108])]) ).
tff(f44967,plain,
( $less($uminus($sum(sF5,sF10)),sF8)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_108
| ~ spl11_263 ),
inference(forward_demodulation,[],[f44966,f47]) ).
tff(f44966,plain,
( $less($uminus($sum(sF10,sF5)),sF8)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_108
| ~ spl11_263 ),
inference(forward_demodulation,[],[f44676,f50]) ).
tff(f44676,plain,
( $less($sum($uminus(sF5),$uminus(sF10)),sF8)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_108
| ~ spl11_263 ),
inference(resolution,[],[f41880,f1853]) ).
tff(f1853,plain,
( ! [X0: $int] :
( ~ $less(X0,$uminus(sF10))
| $less(X0,sF8) )
| ~ spl11_108 ),
inference(resolution,[],[f1851,f53]) ).
tff(f1851,plain,
( $less($uminus(sF10),sF8)
| ~ spl11_108 ),
inference(avatar_component_clause,[],[f1850]) ).
tff(f51032,plain,
( spl11_714
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_92
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f44963,f9363,f1514,f982,f264,f243,f191,f51030]) ).
tff(f51030,plain,
( spl11_714
<=> $less($uminus($sum(sF5,sF10)),sF4) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_714])]) ).
tff(f1514,plain,
( spl11_92
<=> $less($uminus(sF10),sF4) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_92])]) ).
tff(f44963,plain,
( $less($uminus($sum(sF5,sF10)),sF4)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_92
| ~ spl11_263 ),
inference(forward_demodulation,[],[f44962,f47]) ).
tff(f44962,plain,
( $less($uminus($sum(sF10,sF5)),sF4)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_92
| ~ spl11_263 ),
inference(forward_demodulation,[],[f44673,f50]) ).
tff(f44673,plain,
( $less($sum($uminus(sF5),$uminus(sF10)),sF4)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_92
| ~ spl11_263 ),
inference(resolution,[],[f41880,f1533]) ).
tff(f1533,plain,
( ! [X0: $int] :
( ~ $less(X0,$uminus(sF10))
| $less(X0,sF4) )
| ~ spl11_92 ),
inference(resolution,[],[f1515,f53]) ).
tff(f1515,plain,
( $less($uminus(sF10),sF4)
| ~ spl11_92 ),
inference(avatar_component_clause,[],[f1514]) ).
tff(f51028,plain,
( ~ spl11_713
| ~ spl11_2
| ~ spl11_19
| ~ spl11_20
| spl11_58 ),
inference(avatar_split_clause,[],[f50911,f982,f301,f264,f191,f51026]) ).
tff(f50911,plain,
( ~ $less($product(sF5,sF10),$product(sK1,sF10))
| ~ spl11_2
| ~ spl11_19
| ~ spl11_20
| spl11_58 ),
inference(forward_demodulation,[],[f50910,f58]) ).
tff(f50910,plain,
( ~ $less($product(sF10,sF5),$product(sK1,sF10))
| ~ spl11_2
| ~ spl11_19
| ~ spl11_20
| spl11_58 ),
inference(forward_demodulation,[],[f50874,f58]) ).
tff(f50874,plain,
( ~ $less($product(sF10,sF5),$product(sF10,sK1))
| ~ spl11_2
| ~ spl11_19
| ~ spl11_20
| spl11_58 ),
inference(superposition,[],[f50192,f302]) ).
tff(f51024,plain,
( spl11_677
| ~ spl11_56
| ~ spl11_684 ),
inference(avatar_split_clause,[],[f50732,f50159,f973,f50040]) ).
tff(f973,plain,
( spl11_56
<=> $less(sK1,sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_56])]) ).
tff(f50159,plain,
( spl11_684
<=> $less($product(-1,sF10),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_684])]) ).
tff(f50732,plain,
( $less($product(-1,sF10),sF10)
| ~ spl11_56
| ~ spl11_684 ),
inference(resolution,[],[f50160,f2385]) ).
tff(f2385,plain,
( ! [X0: $int] :
( ~ $less(X0,sK1)
| $less(X0,sF10) )
| ~ spl11_56 ),
inference(resolution,[],[f974,f53]) ).
tff(f974,plain,
( $less(sK1,sF10)
| ~ spl11_56 ),
inference(avatar_component_clause,[],[f973]) ).
tff(f50160,plain,
( $less($product(-1,sF10),sK1)
| ~ spl11_684 ),
inference(avatar_component_clause,[],[f50159]) ).
tff(f50989,plain,
( spl11_712
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_400 ),
inference(avatar_split_clause,[],[f44959,f20243,f9363,f982,f264,f243,f191,f50987]) ).
tff(f50987,plain,
( spl11_712
<=> $less($sum(sK2,$uminus(sF5)),sF3) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_712])]) ).
tff(f20243,plain,
( spl11_400
<=> $less(sK2,sF3) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_400])]) ).
tff(f44959,plain,
( $less($sum(sK2,$uminus(sF5)),sF3)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_400 ),
inference(forward_demodulation,[],[f44725,f47]) ).
tff(f44725,plain,
( $less($sum($uminus(sF5),sK2),sF3)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_400 ),
inference(resolution,[],[f41880,f20428]) ).
tff(f20428,plain,
( ! [X2: $int] :
( ~ $less(X2,sK2)
| $less(X2,sF3) )
| ~ spl11_400 ),
inference(resolution,[],[f20244,f53]) ).
tff(f20244,plain,
( $less(sK2,sF3)
| ~ spl11_400 ),
inference(avatar_component_clause,[],[f20243]) ).
tff(f50985,plain,
( spl11_711
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| ~ spl11_32
| spl11_58
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f44955,f9363,f982,f573,f264,f243,f191,f50983]) ).
tff(f50983,plain,
( spl11_711
<=> $less($sum(3,$uminus(sF5)),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_711])]) ).
tff(f573,plain,
( spl11_32
<=> $less(3,sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_32])]) ).
tff(f44955,plain,
( $less($sum(3,$uminus(sF5)),sF10)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| ~ spl11_32
| spl11_58
| ~ spl11_263 ),
inference(forward_demodulation,[],[f44705,f47]) ).
tff(f44705,plain,
( $less($sum($uminus(sF5),3),sF10)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| ~ spl11_32
| spl11_58
| ~ spl11_263 ),
inference(resolution,[],[f41880,f577]) ).
tff(f577,plain,
( ! [X0: $int] :
( ~ $less(X0,3)
| $less(X0,sF10) )
| ~ spl11_32 ),
inference(resolution,[],[f574,f53]) ).
tff(f574,plain,
( $less(3,sF10)
| ~ spl11_32 ),
inference(avatar_component_clause,[],[f573]) ).
tff(f50981,plain,
( spl11_710
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_86
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f44953,f9363,f1430,f982,f264,f243,f191,f50979]) ).
tff(f50979,plain,
( spl11_710
<=> $less($uminus($sum(sF5,sF10)),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_710])]) ).
tff(f1430,plain,
( spl11_86
<=> $less($uminus(sF10),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_86])]) ).
tff(f44953,plain,
( $less($uminus($sum(sF5,sF10)),sF10)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_86
| ~ spl11_263 ),
inference(forward_demodulation,[],[f44952,f47]) ).
tff(f44952,plain,
( $less($uminus($sum(sF10,sF5)),sF10)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_86
| ~ spl11_263 ),
inference(forward_demodulation,[],[f44674,f50]) ).
tff(f44674,plain,
( $less($sum($uminus(sF5),$uminus(sF10)),sF10)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_86
| ~ spl11_263 ),
inference(resolution,[],[f41880,f1535]) ).
tff(f1535,plain,
( ! [X0: $int] :
( ~ $less(X0,$uminus(sF10))
| $less(X0,sF10) )
| ~ spl11_86 ),
inference(resolution,[],[f1431,f53]) ).
tff(f1431,plain,
( $less($uminus(sF10),sF10)
| ~ spl11_86 ),
inference(avatar_component_clause,[],[f1430]) ).
tff(f50969,plain,
( spl11_709
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_126
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f44951,f9363,f2440,f982,f264,f243,f191,f50967]) ).
tff(f50967,plain,
( spl11_709
<=> $less($sum(sK1,$uminus(sF5)),sF4) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_709])]) ).
tff(f2440,plain,
( spl11_126
<=> $less(sK1,sF4) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_126])]) ).
tff(f44951,plain,
( $less($sum(sK1,$uminus(sF5)),sF4)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_126
| ~ spl11_263 ),
inference(forward_demodulation,[],[f44723,f47]) ).
tff(f44723,plain,
( $less($sum($uminus(sF5),sK1),sF4)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_126
| ~ spl11_263 ),
inference(resolution,[],[f41880,f2487]) ).
tff(f2487,plain,
( ! [X0: $int] :
( ~ $less(X0,sK1)
| $less(X0,sF4) )
| ~ spl11_126 ),
inference(resolution,[],[f2441,f53]) ).
tff(f2441,plain,
( $less(sK1,sF4)
| ~ spl11_126 ),
inference(avatar_component_clause,[],[f2440]) ).
tff(f50965,plain,
( spl11_708
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_320 ),
inference(avatar_split_clause,[],[f44944,f16026,f9363,f982,f264,f243,f191,f50963]) ).
tff(f50963,plain,
( spl11_708
<=> $less($sum(2,$uminus(sF5)),sF3) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_708])]) ).
tff(f16026,plain,
( spl11_320
<=> $less(2,sF3) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_320])]) ).
tff(f44944,plain,
( $less($sum(2,$uminus(sF5)),sF3)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_320 ),
inference(forward_demodulation,[],[f44713,f47]) ).
tff(f44713,plain,
( $less($sum($uminus(sF5),2),sF3)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_320 ),
inference(resolution,[],[f41880,f16210]) ).
tff(f16210,plain,
( ! [X1: $int] :
( ~ $less(X1,2)
| $less(X1,sF3) )
| ~ spl11_320 ),
inference(resolution,[],[f16027,f53]) ).
tff(f16027,plain,
( $less(2,sF3)
| ~ spl11_320 ),
inference(avatar_component_clause,[],[f16026]) ).
tff(f50961,plain,
( ~ spl11_707
| ~ spl11_2
| ~ spl11_19
| ~ spl11_21
| spl11_58 ),
inference(avatar_split_clause,[],[f50904,f982,f305,f264,f191,f50959]) ).
tff(f50904,plain,
( ~ $less($product(sF3,sF10),$product(sK2,sF10))
| ~ spl11_2
| ~ spl11_19
| ~ spl11_21
| spl11_58 ),
inference(forward_demodulation,[],[f50903,f58]) ).
tff(f50903,plain,
( ~ $less($product(sF10,sF3),$product(sK2,sF10))
| ~ spl11_2
| ~ spl11_19
| ~ spl11_21
| spl11_58 ),
inference(forward_demodulation,[],[f50875,f58]) ).
tff(f50875,plain,
( ~ $less($product(sF10,sF3),$product(sF10,sK2))
| ~ spl11_2
| ~ spl11_19
| ~ spl11_21
| spl11_58 ),
inference(superposition,[],[f50192,f306]) ).
tff(f50953,plain,
( spl11_706
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_308 ),
inference(avatar_split_clause,[],[f44943,f14195,f9363,f982,f264,f243,f191,f50951]) ).
tff(f50951,plain,
( spl11_706
<=> $less($uminus($sum(sF5,sF10)),sF5) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_706])]) ).
tff(f14195,plain,
( spl11_308
<=> $less($uminus(sF10),sF5) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_308])]) ).
tff(f44943,plain,
( $less($uminus($sum(sF5,sF10)),sF5)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_308 ),
inference(forward_demodulation,[],[f44942,f47]) ).
tff(f44942,plain,
( $less($uminus($sum(sF10,sF5)),sF5)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_308 ),
inference(forward_demodulation,[],[f44680,f50]) ).
tff(f44680,plain,
( $less($sum($uminus(sF5),$uminus(sF10)),sF5)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_308 ),
inference(resolution,[],[f41880,f14218]) ).
tff(f14218,plain,
( ! [X1: $int] :
( ~ $less(X1,$uminus(sF10))
| $less(X1,sF5) )
| ~ spl11_308 ),
inference(resolution,[],[f14196,f53]) ).
tff(f14196,plain,
( $less($uminus(sF10),sF5)
| ~ spl11_308 ),
inference(avatar_component_clause,[],[f14195]) ).
tff(f50949,plain,
( ~ spl11_705
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f50913,f982,f264,f191,f50947]) ).
tff(f50913,plain,
( ~ $less(0,$product(-1,sF10))
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f50912,f61]) ).
tff(f50912,plain,
( ~ $less($product(sF10,0),$product(-1,sF10))
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f50894,f58]) ).
tff(f50894,plain,
( ~ $less($product(sF10,0),$product(sF10,-1))
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(evaluation,[],[f50881]) ).
tff(f50881,plain,
( ~ $less($product(sF10,0),$product(sF10,$uminus(1)))
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f50192,f51]) ).
tff(f50945,plain,
( ~ spl11_704
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f50898,f982,f264,f191,f50943]) ).
tff(f50898,plain,
( ~ $less($product(2,sF10),sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f50897,f58]) ).
tff(f50897,plain,
( ~ $less($product(sF10,2),sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(evaluation,[],[f50893]) ).
tff(f50893,plain,
( ~ $less($product(sF10,$sum(1,1)),sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f50192,f60]) ).
tff(f50941,plain,
( spl11_703
| ~ spl11_2
| ~ spl11_17
| ~ spl11_19
| ~ spl11_28
| spl11_30
| spl11_74
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f50936,f9363,f1276,f541,f518,f264,f255,f191,f50939]) ).
tff(f50939,plain,
( spl11_703
<=> $less(0,$product(sK1,sF8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_703])]) ).
tff(f541,plain,
( spl11_30
<=> $less(sF7,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_30])]) ).
tff(f1276,plain,
( spl11_74
<=> $less(sF10,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_74])]) ).
tff(f50936,plain,
( $less(0,$product(sK1,sF8))
| ~ spl11_2
| ~ spl11_17
| ~ spl11_19
| ~ spl11_28
| spl11_30
| spl11_74
| ~ spl11_263 ),
inference(subsumption_resolution,[],[f50935,f542]) ).
tff(f542,plain,
( ~ $less(sF7,0)
| spl11_30 ),
inference(avatar_component_clause,[],[f541]) ).
tff(f50935,plain,
( $less(0,$product(sK1,sF8))
| $less(sF7,0)
| ~ spl11_2
| ~ spl11_17
| ~ spl11_19
| ~ spl11_28
| spl11_74
| ~ spl11_263 ),
inference(subsumption_resolution,[],[f50930,f519]) ).
tff(f50930,plain,
( $less(0,$product(sK1,sF8))
| ~ $less(0,sF8)
| $less(sF7,0)
| ~ spl11_2
| ~ spl11_17
| ~ spl11_19
| spl11_74
| ~ spl11_263 ),
inference(superposition,[],[f48596,f256]) ).
tff(f48596,plain,
( ! [X43: $int] :
( $less(0,$product(sK1,$sum(X43,sK1)))
| ~ $less(0,$sum(X43,sK1))
| $less(X43,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_74
| ~ spl11_263 ),
inference(subsumption_resolution,[],[f48519,f192]) ).
tff(f48519,plain,
( ! [X43: $int] :
( $less(X43,0)
| ~ $less(0,$sum(X43,sK1))
| $less(0,$product(sK1,$sum(X43,sK1)))
| ~ $less(0,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_74
| ~ spl11_263 ),
inference(superposition,[],[f140,f47948]) ).
tff(f47948,plain,
( ! [X3: $int] :
( ( $sum(X3,sK1) = div1($product(sK1,$sum(X3,sK1)),sK1) )
| $less(X3,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_74
| ~ spl11_263 ),
inference(forward_demodulation,[],[f47947,f9364]) ).
tff(f47947,plain,
( ! [X3: $int] :
( ( $sum(X3,div1(sF10,sK1)) = div1($product(sK1,$sum(X3,sK1)),sK1) )
| $less(X3,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_74 ),
inference(subsumption_resolution,[],[f47946,f1277]) ).
tff(f1277,plain,
( ~ $less(sF10,0)
| spl11_74 ),
inference(avatar_component_clause,[],[f1276]) ).
tff(f47946,plain,
( ! [X3: $int] :
( ( $sum(X3,div1(sF10,sK1)) = div1($product(sK1,$sum(X3,sK1)),sK1) )
| $less(sF10,0)
| $less(X3,0) )
| ~ spl11_2
| ~ spl11_19 ),
inference(subsumption_resolution,[],[f47894,f192]) ).
tff(f47894,plain,
( ! [X3: $int] :
( ~ $less(0,sK1)
| $less(X3,0)
| $less(sF10,0)
| ( $sum(X3,div1(sF10,sK1)) = div1($product(sK1,$sum(X3,sK1)),sK1) ) )
| ~ spl11_19 ),
inference(superposition,[],[f151,f680]) ).
tff(f50870,plain,
( spl11_702
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| ~ spl11_27
| spl11_58
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f44941,f9363,f982,f484,f264,f243,f191,f50868]) ).
tff(f44941,plain,
( $less($sum(3,$uminus(sF5)),sF6)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| ~ spl11_27
| spl11_58
| ~ spl11_263 ),
inference(forward_demodulation,[],[f44703,f47]) ).
tff(f44703,plain,
( $less($sum($uminus(sF5),3),sF6)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| ~ spl11_27
| spl11_58
| ~ spl11_263 ),
inference(resolution,[],[f41880,f507]) ).
tff(f50840,plain,
( spl11_647
| ~ spl11_10
| ~ spl11_680 ),
inference(avatar_split_clause,[],[f50679,f50097,f224,f49405]) ).
tff(f49405,plain,
( spl11_647
<=> $less($uminus(abs1(sF3)),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_647])]) ).
tff(f50097,plain,
( spl11_680
<=> $less($uminus(abs1(sF3)),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_680])]) ).
tff(f50679,plain,
( $less($uminus(abs1(sF3)),sF10)
| ~ spl11_10
| ~ spl11_680 ),
inference(resolution,[],[f50098,f362]) ).
tff(f50098,plain,
( $less($uminus(abs1(sF3)),sK0)
| ~ spl11_680 ),
inference(avatar_component_clause,[],[f50097]) ).
tff(f50839,plain,
( spl11_701
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_277 ),
inference(avatar_split_clause,[],[f44940,f10457,f9363,f982,f264,f243,f191,f50837]) ).
tff(f50837,plain,
( spl11_701
<=> $less($sum(sF3,$uminus(sF5)),sF4) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_701])]) ).
tff(f10457,plain,
( spl11_277
<=> $less(sF3,sF4) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_277])]) ).
tff(f44940,plain,
( $less($sum(sF3,$uminus(sF5)),sF4)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_277 ),
inference(forward_demodulation,[],[f44734,f47]) ).
tff(f44734,plain,
( $less($sum($uminus(sF5),sF3),sF4)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_277 ),
inference(resolution,[],[f41880,f10877]) ).
tff(f10877,plain,
( ! [X1: $int] :
( ~ $less(X1,sF3)
| $less(X1,sF4) )
| ~ spl11_277 ),
inference(resolution,[],[f10458,f53]) ).
tff(f10458,plain,
( $less(sF3,sF4)
| ~ spl11_277 ),
inference(avatar_component_clause,[],[f10457]) ).
tff(f50835,plain,
( ~ spl11_688
| ~ spl11_2
| ~ spl11_17
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f50775,f982,f264,f255,f191,f50268]) ).
tff(f50268,plain,
( spl11_688
<=> $less($product(sK1,sF8),$product(sK1,sF7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_688])]) ).
tff(f50775,plain,
( ~ $less($product(sK1,sF8),$product(sK1,sF7))
| ~ spl11_2
| ~ spl11_17
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f50767,f58]) ).
tff(f50767,plain,
( ~ $less($product(sK1,sF8),$product(sF7,sK1))
| ~ spl11_2
| ~ spl11_17
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f50177,f256]) ).
tff(f50834,plain,
( spl11_647
| ~ spl11_56
| ~ spl11_679 ),
inference(avatar_split_clause,[],[f50661,f50093,f973,f49405]) ).
tff(f50093,plain,
( spl11_679
<=> $less($uminus(abs1(sF3)),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_679])]) ).
tff(f50661,plain,
( $less($uminus(abs1(sF3)),sF10)
| ~ spl11_56
| ~ spl11_679 ),
inference(resolution,[],[f50094,f2385]) ).
tff(f50094,plain,
( $less($uminus(abs1(sF3)),sK1)
| ~ spl11_679 ),
inference(avatar_component_clause,[],[f50093]) ).
tff(f50833,plain,
( ~ spl11_693
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f50774,f982,f264,f191,f50327]) ).
tff(f50327,plain,
( spl11_693
<=> $less($product(sK1,$sum(sK1,sK1)),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_693])]) ).
tff(f50774,plain,
( ~ $less($product(sK1,$sum(sK1,sK1)),sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f50177,f265]) ).
tff(f50832,plain,
( ~ spl11_685
| ~ spl11_2
| ~ spl11_19
| ~ spl11_20
| spl11_58 ),
inference(avatar_split_clause,[],[f50789,f982,f301,f264,f191,f50255]) ).
tff(f50255,plain,
( spl11_685
<=> $less($product(sK1,sF5),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_685])]) ).
tff(f50789,plain,
( ~ $less($product(sK1,sF5),sK1)
| ~ spl11_2
| ~ spl11_19
| ~ spl11_20
| spl11_58 ),
inference(forward_demodulation,[],[f50773,f302]) ).
tff(f50773,plain,
( ~ $less($product(sK1,$sum(1,sK1)),sK1)
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f50177,f312]) ).
tff(f50808,plain,
( ~ spl11_685
| ~ spl11_2
| ~ spl11_19
| ~ spl11_20
| spl11_58 ),
inference(avatar_split_clause,[],[f50793,f982,f301,f264,f191,f50255]) ).
tff(f50793,plain,
( ~ $less($product(sK1,sF5),sK1)
| ~ spl11_2
| ~ spl11_19
| ~ spl11_20
| spl11_58 ),
inference(forward_demodulation,[],[f50765,f312]) ).
tff(f50765,plain,
( ~ $less($product(sK1,sF5),$product(1,sK1))
| ~ spl11_2
| ~ spl11_19
| ~ spl11_20
| spl11_58 ),
inference(superposition,[],[f50177,f302]) ).
tff(f50747,plain,
( spl11_700
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_272 ),
inference(avatar_split_clause,[],[f44935,f9881,f9363,f982,f264,f243,f191,f50745]) ).
tff(f44935,plain,
( $less($sum(1,$uminus(sF5)),sF4)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_272 ),
inference(forward_demodulation,[],[f44699,f47]) ).
tff(f44699,plain,
( $less($sum($uminus(sF5),1),sF4)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_272 ),
inference(resolution,[],[f41880,f9908]) ).
tff(f50743,plain,
( spl11_699
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_405 ),
inference(avatar_split_clause,[],[f44934,f20496,f9363,f982,f264,f243,f191,f50741]) ).
tff(f50741,plain,
( spl11_699
<=> $less($uminus($sum(sF5,sF6)),sF7) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_699])]) ).
tff(f20496,plain,
( spl11_405
<=> $less($uminus(sF6),sF7) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_405])]) ).
tff(f44934,plain,
( $less($uminus($sum(sF5,sF6)),sF7)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_405 ),
inference(forward_demodulation,[],[f44933,f47]) ).
tff(f44933,plain,
( $less($uminus($sum(sF6,sF5)),sF7)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_405 ),
inference(forward_demodulation,[],[f44662,f50]) ).
tff(f44662,plain,
( $less($sum($uminus(sF5),$uminus(sF6)),sF7)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_405 ),
inference(resolution,[],[f41880,f21648]) ).
tff(f21648,plain,
( ! [X2: $int] :
( ~ $less(X2,$uminus(sF6))
| $less(X2,sF7) )
| ~ spl11_405 ),
inference(resolution,[],[f20497,f53]) ).
tff(f20497,plain,
( $less($uminus(sF6),sF7)
| ~ spl11_405 ),
inference(avatar_component_clause,[],[f20496]) ).
tff(f50675,plain,
( ~ spl11_693
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f50384,f982,f264,f191,f50327]) ).
tff(f50384,plain,
( ~ $less($product(sK1,$sum(sK1,sK1)),sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f46675,f265]) ).
tff(f50656,plain,
( ~ spl11_688
| ~ spl11_2
| ~ spl11_19
| ~ spl11_22
| spl11_58 ),
inference(avatar_split_clause,[],[f50370,f982,f309,f264,f191,f50268]) ).
tff(f50370,plain,
( ~ $less($product(sK1,sF8),$product(sK1,sF7))
| ~ spl11_2
| ~ spl11_19
| ~ spl11_22
| spl11_58 ),
inference(superposition,[],[f46675,f310]) ).
tff(f50655,plain,
( spl11_635
| ~ spl11_2
| ~ spl11_19
| ~ spl11_22
| spl11_30
| spl11_74
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f50549,f9363,f1276,f541,f309,f264,f191,f48629]) ).
tff(f48629,plain,
( spl11_635
<=> ( sF8 = div1($product(sK1,sF8),sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_635])]) ).
tff(f50549,plain,
( ( sF8 = div1($product(sK1,sF8),sK1) )
| ~ spl11_2
| ~ spl11_19
| ~ spl11_22
| spl11_30
| spl11_74
| ~ spl11_263 ),
inference(subsumption_resolution,[],[f50485,f542]) ).
tff(f50485,plain,
( $less(sF7,0)
| ( sF8 = div1($product(sK1,sF8),sK1) )
| ~ spl11_2
| ~ spl11_19
| ~ spl11_22
| spl11_74
| ~ spl11_263 ),
inference(superposition,[],[f48473,f310]) ).
tff(f48473,plain,
( ! [X0: $int] :
( ( div1($product(sK1,$sum(sK1,X0)),sK1) = $sum(sK1,X0) )
| $less(X0,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_74
| ~ spl11_263 ),
inference(superposition,[],[f47948,f47]) ).
tff(f50654,plain,
( spl11_698
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_73
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f44932,f9363,f1240,f982,f264,f243,f191,f50652]) ).
tff(f50652,plain,
( spl11_698
<=> $less($sum(sF8,$uminus(sF5)),sF4) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_698])]) ).
tff(f1240,plain,
( spl11_73
<=> $less(sF8,sF4) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_73])]) ).
tff(f44932,plain,
( $less($sum(sF8,$uminus(sF5)),sF4)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_73
| ~ spl11_263 ),
inference(forward_demodulation,[],[f44745,f47]) ).
tff(f44745,plain,
( $less($sum($uminus(sF5),sF8),sF4)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_73
| ~ spl11_263 ),
inference(resolution,[],[f41880,f1245]) ).
tff(f1245,plain,
( ! [X0: $int] :
( ~ $less(X0,sF8)
| $less(X0,sF4) )
| ~ spl11_73 ),
inference(resolution,[],[f1241,f53]) ).
tff(f1241,plain,
( $less(sF8,sF4)
| ~ spl11_73 ),
inference(avatar_component_clause,[],[f1240]) ).
tff(f50650,plain,
( spl11_697
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_395 ),
inference(avatar_split_clause,[],[f44931,f20094,f9363,f982,f264,f243,f191,f50648]) ).
tff(f50648,plain,
( spl11_697
<=> $less($uminus($sum(sF5,sF6)),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_697])]) ).
tff(f20094,plain,
( spl11_395
<=> $less($uminus(sF6),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_395])]) ).
tff(f44931,plain,
( $less($uminus($sum(sF5,sF6)),sK0)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_395 ),
inference(forward_demodulation,[],[f44930,f47]) ).
tff(f44930,plain,
( $less($uminus($sum(sF6,sF5)),sK0)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_395 ),
inference(forward_demodulation,[],[f44658,f50]) ).
tff(f44658,plain,
( $less($sum($uminus(sF5),$uminus(sF6)),sK0)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_395 ),
inference(resolution,[],[f41880,f20178]) ).
tff(f20178,plain,
( ! [X2: $int] :
( ~ $less(X2,$uminus(sF6))
| $less(X2,sK0) )
| ~ spl11_395 ),
inference(resolution,[],[f20095,f53]) ).
tff(f20095,plain,
( $less($uminus(sF6),sK0)
| ~ spl11_395 ),
inference(avatar_component_clause,[],[f20094]) ).
tff(f50439,plain,
( spl11_696
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_71
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f44929,f9363,f1229,f982,f264,f243,f191,f50437]) ).
tff(f50437,plain,
( spl11_696
<=> $less($sum(sF8,$uminus(sF5)),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_696])]) ).
tff(f1229,plain,
( spl11_71
<=> $less(sF8,sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_71])]) ).
tff(f44929,plain,
( $less($sum(sF8,$uminus(sF5)),sF10)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_71
| ~ spl11_263 ),
inference(forward_demodulation,[],[f44746,f47]) ).
tff(f44746,plain,
( $less($sum($uminus(sF5),sF8),sF10)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_71
| ~ spl11_263 ),
inference(resolution,[],[f41880,f1244]) ).
tff(f1244,plain,
( ! [X0: $int] :
( ~ $less(X0,sF8)
| $less(X0,sF10) )
| ~ spl11_71 ),
inference(resolution,[],[f1230,f53]) ).
tff(f1230,plain,
( $less(sF8,sF10)
| ~ spl11_71 ),
inference(avatar_component_clause,[],[f1229]) ).
tff(f50419,plain,
( ~ spl11_685
| ~ spl11_2
| ~ spl11_19
| ~ spl11_20
| spl11_58 ),
inference(avatar_split_clause,[],[f50402,f982,f301,f264,f191,f50255]) ).
tff(f50402,plain,
( ~ $less($product(sK1,sF5),sK1)
| ~ spl11_2
| ~ spl11_19
| ~ spl11_20
| spl11_58 ),
inference(forward_demodulation,[],[f50401,f302]) ).
tff(f50401,plain,
( ~ $less($product(sK1,$sum(1,sK1)),sK1)
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f50390,f47]) ).
tff(f50390,plain,
( ~ $less($product(sK1,$sum(sK1,1)),sK1)
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f46675,f60]) ).
tff(f50418,plain,
( spl11_695
| ~ spl11_179
| ~ spl11_651 ),
inference(avatar_split_clause,[],[f50030,f49499,f4358,f50416]) ).
tff(f49499,plain,
( spl11_651
<=> $less($product(-1,sF10),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_651])]) ).
tff(f50030,plain,
( $less($product(-1,sF10),sF7)
| ~ spl11_179
| ~ spl11_651 ),
inference(resolution,[],[f49500,f4486]) ).
tff(f49500,plain,
( $less($product(-1,sF10),0)
| ~ spl11_651 ),
inference(avatar_component_clause,[],[f49499]) ).
tff(f50414,plain,
( ~ spl11_685
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f50391,f982,f264,f243,f191,f50255]) ).
tff(f50391,plain,
( ~ $less($product(sK1,sF5),sK1)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f50369,f60]) ).
tff(f50369,plain,
( ~ $less($product(sK1,sF5),$product(sK1,1))
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f46675,f244]) ).
tff(f50413,plain,
( spl11_694
| ~ spl11_47
| ~ spl11_651 ),
inference(avatar_split_clause,[],[f50026,f49499,f856,f50411]) ).
tff(f50411,plain,
( spl11_694
<=> $less($product(-1,sF10),sF3) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_694])]) ).
tff(f50026,plain,
( $less($product(-1,sF10),sF3)
| ~ spl11_47
| ~ spl11_651 ),
inference(resolution,[],[f49500,f861]) ).
tff(f50329,plain,
( ~ spl11_693
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f50176,f982,f264,f191,f50327]) ).
tff(f50176,plain,
( ~ $less($product(sK1,$sum(sK1,sK1)),sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f47941,f265]) ).
tff(f50325,plain,
( spl11_692
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_394 ),
inference(avatar_split_clause,[],[f44928,f20090,f9363,f982,f264,f243,f191,f50323]) ).
tff(f50323,plain,
( spl11_692
<=> $less($uminus($sum(sF5,sF6)),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_692])]) ).
tff(f20090,plain,
( spl11_394
<=> $less($uminus(sF6),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_394])]) ).
tff(f44928,plain,
( $less($uminus($sum(sF5,sF6)),sK1)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_394 ),
inference(forward_demodulation,[],[f44927,f47]) ).
tff(f44927,plain,
( $less($uminus($sum(sF6,sF5)),sK1)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_394 ),
inference(forward_demodulation,[],[f44657,f50]) ).
tff(f44657,plain,
( $less($sum($uminus(sF5),$uminus(sF6)),sK1)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_394 ),
inference(resolution,[],[f41880,f20169]) ).
tff(f20169,plain,
( ! [X2: $int] :
( ~ $less(X2,$uminus(sF6))
| $less(X2,sK1) )
| ~ spl11_394 ),
inference(resolution,[],[f20091,f53]) ).
tff(f20091,plain,
( $less($uminus(sF6),sK1)
| ~ spl11_394 ),
inference(avatar_component_clause,[],[f20090]) ).
tff(f50282,plain,
( ~ spl11_691
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f50183,f982,f264,f191,f50280]) ).
tff(f50183,plain,
( ~ $less(0,$product(sK1,$uminus(sK1)))
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f50167,f61]) ).
tff(f50167,plain,
( ~ $less($product(sK1,0),$product(sK1,$uminus(sK1)))
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f47941,f267]) ).
tff(f50278,plain,
( spl11_690
| ~ spl11_28
| ~ spl11_651 ),
inference(avatar_split_clause,[],[f50025,f49499,f518,f50276]) ).
tff(f50276,plain,
( spl11_690
<=> $less($product(-1,sF10),sF8) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_690])]) ).
tff(f50025,plain,
( $less($product(-1,sF10),sF8)
| ~ spl11_28
| ~ spl11_651 ),
inference(resolution,[],[f49500,f548]) ).
tff(f50274,plain,
( spl11_689
| ~ spl11_26
| ~ spl11_651 ),
inference(avatar_split_clause,[],[f50024,f49499,f480,f50272]) ).
tff(f50272,plain,
( spl11_689
<=> $less($product(-1,sF10),sF6) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_689])]) ).
tff(f50024,plain,
( $less($product(-1,sF10),sF6)
| ~ spl11_26
| ~ spl11_651 ),
inference(resolution,[],[f49500,f506]) ).
tff(f50270,plain,
( ~ spl11_688
| ~ spl11_2
| ~ spl11_17
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f50174,f982,f264,f255,f191,f50268]) ).
tff(f50174,plain,
( ~ $less($product(sK1,sF8),$product(sK1,sF7))
| ~ spl11_2
| ~ spl11_17
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f47941,f256]) ).
tff(f50266,plain,
( spl11_687
| ~ spl11_24
| ~ spl11_651 ),
inference(avatar_split_clause,[],[f50023,f49499,f467,f50264]) ).
tff(f50264,plain,
( spl11_687
<=> $less($product(-1,sF10),sF4) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_687])]) ).
tff(f50023,plain,
( $less($product(-1,sF10),sF4)
| ~ spl11_24
| ~ spl11_651 ),
inference(resolution,[],[f49500,f474]) ).
tff(f50262,plain,
( ~ spl11_685
| ~ spl11_2
| ~ spl11_19
| ~ spl11_20
| spl11_58 ),
inference(avatar_split_clause,[],[f50195,f982,f301,f264,f191,f50255]) ).
tff(f50195,plain,
( ~ $less($product(sK1,sF5),sK1)
| ~ spl11_2
| ~ spl11_19
| ~ spl11_20
| spl11_58 ),
inference(forward_demodulation,[],[f50182,f302]) ).
tff(f50182,plain,
( ~ $less($product(sK1,$sum(1,sK1)),sK1)
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f47941,f60]) ).
tff(f50261,plain,
( spl11_686
| ~ spl11_23
| ~ spl11_651 ),
inference(avatar_split_clause,[],[f50022,f49499,f397,f50259]) ).
tff(f50022,plain,
( $less($product(-1,sF10),sK0)
| ~ spl11_23
| ~ spl11_651 ),
inference(resolution,[],[f49500,f431]) ).
tff(f50257,plain,
( ~ spl11_685
| ~ spl11_2
| ~ spl11_19
| ~ spl11_20
| spl11_58 ),
inference(avatar_split_clause,[],[f50194,f982,f301,f264,f191,f50255]) ).
tff(f50194,plain,
( ~ $less($product(sK1,sF5),sK1)
| ~ spl11_2
| ~ spl11_19
| ~ spl11_20
| spl11_58 ),
inference(forward_demodulation,[],[f50172,f60]) ).
tff(f50172,plain,
( ~ $less($product(sK1,sF5),$product(sK1,1))
| ~ spl11_2
| ~ spl11_19
| ~ spl11_20
| spl11_58 ),
inference(superposition,[],[f47941,f302]) ).
tff(f50161,plain,
( spl11_684
| ~ spl11_2
| ~ spl11_651 ),
inference(avatar_split_clause,[],[f50021,f49499,f191,f50159]) ).
tff(f50021,plain,
( $less($product(-1,sF10),sK1)
| ~ spl11_2
| ~ spl11_651 ),
inference(resolution,[],[f49500,f358]) ).
tff(f50111,plain,
( spl11_683
| ~ spl11_1
| ~ spl11_651 ),
inference(avatar_split_clause,[],[f50020,f49499,f187,f50109]) ).
tff(f50109,plain,
( spl11_683
<=> $less($product(-1,sF10),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_683])]) ).
tff(f50020,plain,
( $less($product(-1,sF10),sK2)
| ~ spl11_1
| ~ spl11_651 ),
inference(resolution,[],[f49500,f357]) ).
tff(f50107,plain,
( spl11_682
| ~ spl11_26
| ~ spl11_643 ),
inference(avatar_split_clause,[],[f49363,f49329,f480,f50105]) ).
tff(f50105,plain,
( spl11_682
<=> $less($uminus(abs1(sF3)),sF6) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_682])]) ).
tff(f49329,plain,
( spl11_643
<=> $less($uminus(abs1(sF3)),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_643])]) ).
tff(f49363,plain,
( $less($uminus(abs1(sF3)),sF6)
| ~ spl11_26
| ~ spl11_643 ),
inference(resolution,[],[f49330,f506]) ).
tff(f49330,plain,
( $less($uminus(abs1(sF3)),0)
| ~ spl11_643 ),
inference(avatar_component_clause,[],[f49329]) ).
tff(f50103,plain,
( spl11_681
| ~ spl11_24
| ~ spl11_643 ),
inference(avatar_split_clause,[],[f49362,f49329,f467,f50101]) ).
tff(f50101,plain,
( spl11_681
<=> $less($uminus(abs1(sF3)),sF4) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_681])]) ).
tff(f49362,plain,
( $less($uminus(abs1(sF3)),sF4)
| ~ spl11_24
| ~ spl11_643 ),
inference(resolution,[],[f49330,f474]) ).
tff(f50099,plain,
( spl11_680
| ~ spl11_23
| ~ spl11_643 ),
inference(avatar_split_clause,[],[f49361,f49329,f397,f50097]) ).
tff(f49361,plain,
( $less($uminus(abs1(sF3)),sK0)
| ~ spl11_23
| ~ spl11_643 ),
inference(resolution,[],[f49330,f431]) ).
tff(f50095,plain,
( spl11_679
| ~ spl11_2
| ~ spl11_643 ),
inference(avatar_split_clause,[],[f49360,f49329,f191,f50093]) ).
tff(f49360,plain,
( $less($uminus(abs1(sF3)),sK1)
| ~ spl11_2
| ~ spl11_643 ),
inference(resolution,[],[f49330,f358]) ).
tff(f50091,plain,
( spl11_678
| ~ spl11_1
| ~ spl11_643 ),
inference(avatar_split_clause,[],[f49359,f49329,f187,f50089]) ).
tff(f50089,plain,
( spl11_678
<=> $less($uminus(abs1(sF3)),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_678])]) ).
tff(f49359,plain,
( $less($uminus(abs1(sF3)),sK2)
| ~ spl11_1
| ~ spl11_643 ),
inference(resolution,[],[f49330,f357]) ).
tff(f50042,plain,
( spl11_677
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_651 ),
inference(avatar_split_clause,[],[f50027,f49499,f982,f264,f191,f50040]) ).
tff(f50027,plain,
( $less($product(-1,sF10),sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_651 ),
inference(resolution,[],[f49500,f1404]) ).
tff(f49933,plain,
( spl11_676
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_165
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f44925,f9363,f3768,f982,f264,f243,f191,f49931]) ).
tff(f49931,plain,
( spl11_676
<=> $less($sum(sF7,$uminus(sF5)),sF4) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_676])]) ).
tff(f3768,plain,
( spl11_165
<=> $less(sF7,sF4) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_165])]) ).
tff(f44925,plain,
( $less($sum(sF7,$uminus(sF5)),sF4)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_165
| ~ spl11_263 ),
inference(forward_demodulation,[],[f44741,f47]) ).
tff(f44741,plain,
( $less($sum($uminus(sF5),sF7),sF4)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_165
| ~ spl11_263 ),
inference(resolution,[],[f41880,f3967]) ).
tff(f3967,plain,
( ! [X0: $int] :
( ~ $less(X0,sF7)
| $less(X0,sF4) )
| ~ spl11_165 ),
inference(resolution,[],[f3769,f53]) ).
tff(f3769,plain,
( $less(sF7,sF4)
| ~ spl11_165 ),
inference(avatar_component_clause,[],[f3768]) ).
tff(f49929,plain,
( spl11_675
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_74
| ~ spl11_436 ),
inference(avatar_split_clause,[],[f49883,f28271,f1276,f264,f243,f191,f49927]) ).
tff(f49927,plain,
( spl11_675
<=> ( 0 = mod1($product(sF5,sF10),sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_675])]) ).
tff(f28271,plain,
( spl11_436
<=> ( 0 = mod1(sF10,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_436])]) ).
tff(f49883,plain,
( ( 0 = mod1($product(sF5,sF10),sK1) )
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_74
| ~ spl11_436 ),
inference(forward_demodulation,[],[f49882,f58]) ).
tff(f49882,plain,
( ( 0 = mod1($product(sF10,sF5),sK1) )
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_74
| ~ spl11_436 ),
inference(subsumption_resolution,[],[f49881,f1277]) ).
tff(f49881,plain,
( ( 0 = mod1($product(sF10,sF5),sK1) )
| $less(sF10,0)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_74
| ~ spl11_436 ),
inference(forward_demodulation,[],[f49855,f265]) ).
tff(f49855,plain,
( $less($product(sK1,sK1),0)
| ( 0 = mod1($product(sF10,sF5),sK1) )
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_74
| ~ spl11_436 ),
inference(superposition,[],[f48201,f244]) ).
tff(f48201,plain,
( ! [X2: $int] :
( ( 0 = mod1($product(sF10,$sum(X2,1)),sK1) )
| $less($product(sK1,X2),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_74
| ~ spl11_436 ),
inference(forward_demodulation,[],[f48157,f492]) ).
tff(f48157,plain,
( ! [X2: $int] :
( ( 0 = mod1($product(sK1,$product(sK1,$sum(X2,1))),sK1) )
| $less($product(sK1,X2),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_74
| ~ spl11_436 ),
inference(superposition,[],[f47966,f675]) ).
tff(f675,plain,
! [X0: $int,X1: $int] : ( $sum($product(X0,X1),X0) = $product(X0,$sum(X1,1)) ),
inference(superposition,[],[f62,f60]) ).
tff(f47966,plain,
( ! [X4: $int] :
( ( 0 = mod1($product(sK1,$sum(X4,sK1)),sK1) )
| $less(X4,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_74
| ~ spl11_436 ),
inference(forward_demodulation,[],[f47965,f28272]) ).
tff(f28272,plain,
( ( 0 = mod1(sF10,sK1) )
| ~ spl11_436 ),
inference(avatar_component_clause,[],[f28271]) ).
tff(f47965,plain,
( ! [X4: $int] :
( $less(X4,0)
| ( mod1(sF10,sK1) = mod1($product(sK1,$sum(X4,sK1)),sK1) ) )
| ~ spl11_2
| ~ spl11_19
| spl11_74 ),
inference(subsumption_resolution,[],[f47964,f192]) ).
tff(f47964,plain,
( ! [X4: $int] :
( ~ $less(0,sK1)
| $less(X4,0)
| ( mod1(sF10,sK1) = mod1($product(sK1,$sum(X4,sK1)),sK1) ) )
| ~ spl11_19
| spl11_74 ),
inference(subsumption_resolution,[],[f47895,f1277]) ).
tff(f47895,plain,
( ! [X4: $int] :
( $less(sF10,0)
| $less(X4,0)
| ( mod1(sF10,sK1) = mod1($product(sK1,$sum(X4,sK1)),sK1) )
| ~ $less(0,sK1) )
| ~ spl11_19 ),
inference(superposition,[],[f147,f680]) ).
tff(f49843,plain,
( spl11_674
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_234
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f44924,f9363,f6513,f982,f264,f243,f191,f49841]) ).
tff(f49841,plain,
( spl11_674
<=> $less($sum(2,$uminus(sF5)),sF4) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_674])]) ).
tff(f6513,plain,
( spl11_234
<=> $less(2,sF4) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_234])]) ).
tff(f44924,plain,
( $less($sum(2,$uminus(sF5)),sF4)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_234
| ~ spl11_263 ),
inference(forward_demodulation,[],[f44710,f47]) ).
tff(f44710,plain,
( $less($sum($uminus(sF5),2),sF4)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_234
| ~ spl11_263 ),
inference(resolution,[],[f41880,f6633]) ).
tff(f6633,plain,
( ! [X0: $int] :
( ~ $less(X0,2)
| $less(X0,sF4) )
| ~ spl11_234 ),
inference(resolution,[],[f6514,f53]) ).
tff(f6514,plain,
( $less(2,sF4)
| ~ spl11_234 ),
inference(avatar_component_clause,[],[f6513]) ).
tff(f49839,plain,
( spl11_672
| spl11_673
| ~ spl11_13
| ~ spl11_47
| spl11_106
| ~ spl11_457 ),
inference(avatar_split_clause,[],[f47420,f29820,f1726,f856,f239,f49837,f49834]) ).
tff(f49834,plain,
( spl11_672
<=> $less($product(sF3,$uminus(sF3)),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_672])]) ).
tff(f49837,plain,
( spl11_673
<=> ( 0 = mod1($product(sF3,$uminus(sF3)),sF3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_673])]) ).
tff(f29820,plain,
( spl11_457
<=> ( 0 = mod1(0,sF3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_457])]) ).
tff(f47420,plain,
( ( 0 = mod1($product(sF3,$uminus(sF3)),sF3) )
| $less($product(sF3,$uminus(sF3)),0)
| ~ spl11_13
| ~ spl11_47
| spl11_106
| ~ spl11_457 ),
inference(forward_demodulation,[],[f47419,f29821]) ).
tff(f29821,plain,
( ( 0 = mod1(0,sF3) )
| ~ spl11_457 ),
inference(avatar_component_clause,[],[f29820]) ).
tff(f47419,plain,
( ( mod1($product(sF3,$uminus(sF3)),sF3) = mod1(0,sF3) )
| $less($product(sF3,$uminus(sF3)),0)
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(forward_demodulation,[],[f47384,f61]) ).
tff(f47384,plain,
( ( mod1($product(sF3,$uminus(sF3)),sF3) = mod1($product(sF3,0),sF3) )
| $less($product(sF3,$uminus(sF3)),0)
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f46701,f51]) ).
tff(f46701,plain,
( ! [X1: $int] :
( ( mod1($product(sF3,X1),sF3) = mod1($product(sF3,$sum(sF3,X1)),sF3) )
| $less($product(sF3,X1),0) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f4180,f674]) ).
tff(f674,plain,
( ! [X15: $int] : ( $product(sF3,$sum(sF3,X15)) = $sum(sF4,$product(sF3,X15)) )
| ~ spl11_13 ),
inference(superposition,[],[f62,f240]) ).
tff(f49832,plain,
( spl11_671
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_166
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f44923,f9363,f3795,f982,f264,f243,f191,f49830]) ).
tff(f49830,plain,
( spl11_671
<=> $less($sum(sF7,$uminus(sF5)),sF6) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_671])]) ).
tff(f3795,plain,
( spl11_166
<=> $less(sF7,sF6) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_166])]) ).
tff(f44923,plain,
( $less($sum(sF7,$uminus(sF5)),sF6)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_166
| ~ spl11_263 ),
inference(forward_demodulation,[],[f44740,f47]) ).
tff(f44740,plain,
( $less($sum($uminus(sF5),sF7),sF6)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_166
| ~ spl11_263 ),
inference(resolution,[],[f41880,f3969]) ).
tff(f3969,plain,
( ! [X0: $int] :
( ~ $less(X0,sF7)
| $less(X0,sF6) )
| ~ spl11_166 ),
inference(resolution,[],[f3796,f53]) ).
tff(f3796,plain,
( $less(sF7,sF6)
| ~ spl11_166 ),
inference(avatar_component_clause,[],[f3795]) ).
tff(f49828,plain,
( spl11_670
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_193
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f44920,f9363,f4793,f982,f264,f243,f191,f49826]) ).
tff(f49826,plain,
( spl11_670
<=> $less($uminus($sum(sF4,sF5)),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_670])]) ).
tff(f4793,plain,
( spl11_193
<=> $less($uminus(sF4),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_193])]) ).
tff(f44920,plain,
( $less($uminus($sum(sF4,sF5)),sF10)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_193
| ~ spl11_263 ),
inference(forward_demodulation,[],[f44919,f47]) ).
tff(f44919,plain,
( $less($uminus($sum(sF5,sF4)),sF10)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_193
| ~ spl11_263 ),
inference(forward_demodulation,[],[f44918,f50]) ).
tff(f44918,plain,
( $less($sum($uminus(sF4),$uminus(sF5)),sF10)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_193
| ~ spl11_263 ),
inference(forward_demodulation,[],[f44647,f47]) ).
tff(f44647,plain,
( $less($sum($uminus(sF5),$uminus(sF4)),sF10)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_193
| ~ spl11_263 ),
inference(resolution,[],[f41880,f5216]) ).
tff(f5216,plain,
( ! [X0: $int] :
( ~ $less(X0,$uminus(sF4))
| $less(X0,sF10) )
| ~ spl11_193 ),
inference(resolution,[],[f4794,f53]) ).
tff(f4794,plain,
( $less($uminus(sF4),sF10)
| ~ spl11_193 ),
inference(avatar_component_clause,[],[f4793]) ).
tff(f49824,plain,
( spl11_669
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_136
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f44917,f9363,f2701,f982,f264,f243,f191,f49822]) ).
tff(f49822,plain,
( spl11_669
<=> $less($sum(sK2,$uminus(sF5)),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_669])]) ).
tff(f2701,plain,
( spl11_136
<=> $less(sK2,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_136])]) ).
tff(f44917,plain,
( $less($sum(sK2,$uminus(sF5)),sK0)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_136
| ~ spl11_263 ),
inference(forward_demodulation,[],[f44730,f47]) ).
tff(f44730,plain,
( $less($sum($uminus(sF5),sK2),sK0)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_136
| ~ spl11_263 ),
inference(resolution,[],[f41880,f2707]) ).
tff(f2707,plain,
( ! [X0: $int] :
( ~ $less(X0,sK2)
| $less(X0,sK0) )
| ~ spl11_136 ),
inference(resolution,[],[f2702,f53]) ).
tff(f2702,plain,
( $less(sK2,sK0)
| ~ spl11_136 ),
inference(avatar_component_clause,[],[f2701]) ).
tff(f49820,plain,
( spl11_668
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_235
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f44915,f9363,f6629,f982,f264,f243,f191,f49818]) ).
tff(f49818,plain,
( spl11_668
<=> $less($sum(2,$uminus(sF5)),sF6) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_668])]) ).
tff(f6629,plain,
( spl11_235
<=> $less(2,sF6) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_235])]) ).
tff(f44915,plain,
( $less($sum(2,$uminus(sF5)),sF6)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_235
| ~ spl11_263 ),
inference(forward_demodulation,[],[f44711,f47]) ).
tff(f44711,plain,
( $less($sum($uminus(sF5),2),sF6)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_235
| ~ spl11_263 ),
inference(resolution,[],[f41880,f6660]) ).
tff(f6660,plain,
( ! [X0: $int] :
( ~ $less(X0,2)
| $less(X0,sF6) )
| ~ spl11_235 ),
inference(resolution,[],[f6630,f53]) ).
tff(f6630,plain,
( $less(2,sF6)
| ~ spl11_235 ),
inference(avatar_component_clause,[],[f6629]) ).
tff(f49795,plain,
( spl11_666
| spl11_667
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_437 ),
inference(avatar_split_clause,[],[f47316,f28279,f982,f264,f191,f49793,f49790]) ).
tff(f49793,plain,
( spl11_667
<=> ( 0 = mod1($product(sK1,$uminus(sK1)),sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_667])]) ).
tff(f28279,plain,
( spl11_437
<=> ( 0 = mod1(0,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_437])]) ).
tff(f47316,plain,
( ( 0 = mod1($product(sK1,$uminus(sK1)),sK1) )
| $less($product(sK1,$uminus(sK1)),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_437 ),
inference(forward_demodulation,[],[f47315,f28280]) ).
tff(f28280,plain,
( ( 0 = mod1(0,sK1) )
| ~ spl11_437 ),
inference(avatar_component_clause,[],[f28279]) ).
tff(f47315,plain,
( ( mod1($product(sK1,$uminus(sK1)),sK1) = mod1(0,sK1) )
| $less($product(sK1,$uminus(sK1)),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f47274,f61]) ).
tff(f47274,plain,
( $less($product(sK1,$uminus(sK1)),0)
| ( mod1($product(sK1,0),sK1) = mod1($product(sK1,$uminus(sK1)),sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f46616,f51]) ).
tff(f49753,plain,
( spl11_665
| ~ spl11_26
| ~ spl11_314 ),
inference(avatar_split_clause,[],[f49514,f14757,f480,f49751]) ).
tff(f49751,plain,
( spl11_665
<=> $less($uminus(sF3),sF6) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_665])]) ).
tff(f14757,plain,
( spl11_314
<=> $less($uminus(sF3),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_314])]) ).
tff(f49514,plain,
( $less($uminus(sF3),sF6)
| ~ spl11_26
| ~ spl11_314 ),
inference(resolution,[],[f49446,f506]) ).
tff(f49446,plain,
( $less($uminus(sF3),0)
| ~ spl11_314 ),
inference(avatar_component_clause,[],[f14757]) ).
tff(f49749,plain,
( spl11_664
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_271 ),
inference(avatar_split_clause,[],[f44914,f9877,f9363,f982,f264,f243,f191,f49747]) ).
tff(f44914,plain,
( $less($sum(1,$uminus(sF5)),sF6)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_271 ),
inference(forward_demodulation,[],[f44698,f47]) ).
tff(f44698,plain,
( $less($sum($uminus(sF5),1),sF6)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_271 ),
inference(resolution,[],[f41880,f9906]) ).
tff(f49745,plain,
( spl11_663
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_195
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f44913,f9363,f4876,f982,f264,f243,f191,f49743]) ).
tff(f49743,plain,
( spl11_663
<=> $less($uminus($sum(sF4,sF5)),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_663])]) ).
tff(f4876,plain,
( spl11_195
<=> $less($uminus(sF4),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_195])]) ).
tff(f44913,plain,
( $less($uminus($sum(sF4,sF5)),sK1)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_195
| ~ spl11_263 ),
inference(forward_demodulation,[],[f44912,f47]) ).
tff(f44912,plain,
( $less($uminus($sum(sF5,sF4)),sK1)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_195
| ~ spl11_263 ),
inference(forward_demodulation,[],[f44911,f50]) ).
tff(f44911,plain,
( $less($sum($uminus(sF4),$uminus(sF5)),sK1)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_195
| ~ spl11_263 ),
inference(forward_demodulation,[],[f44642,f47]) ).
tff(f44642,plain,
( $less($sum($uminus(sF5),$uminus(sF4)),sK1)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_195
| ~ spl11_263 ),
inference(resolution,[],[f41880,f4934]) ).
tff(f4934,plain,
( ! [X0: $int] :
( ~ $less(X0,$uminus(sF4))
| $less(X0,sK1) )
| ~ spl11_195 ),
inference(resolution,[],[f4877,f53]) ).
tff(f4877,plain,
( $less($uminus(sF4),sK1)
| ~ spl11_195 ),
inference(avatar_component_clause,[],[f4876]) ).
tff(f49741,plain,
( spl11_662
| ~ spl11_24
| ~ spl11_314 ),
inference(avatar_split_clause,[],[f49513,f14757,f467,f49739]) ).
tff(f49739,plain,
( spl11_662
<=> $less($uminus(sF3),sF4) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_662])]) ).
tff(f49513,plain,
( $less($uminus(sF3),sF4)
| ~ spl11_24
| ~ spl11_314 ),
inference(resolution,[],[f49446,f474]) ).
tff(f49686,plain,
( spl11_661
| ~ spl11_23
| ~ spl11_314 ),
inference(avatar_split_clause,[],[f49512,f14757,f397,f49684]) ).
tff(f49684,plain,
( spl11_661
<=> $less($uminus(sF3),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_661])]) ).
tff(f49512,plain,
( $less($uminus(sF3),sK0)
| ~ spl11_23
| ~ spl11_314 ),
inference(resolution,[],[f49446,f431]) ).
tff(f49682,plain,
( spl11_660
| spl11_154
| ~ spl11_13 ),
inference(avatar_split_clause,[],[f755,f239,f3454,f49680]) ).
tff(f49680,plain,
( spl11_660
<=> ! [X15: $int] :
( ( sF3 = X15 )
| ( sF4 != $product(sF3,X15) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_660])]) ).
tff(f3454,plain,
( spl11_154
<=> ( 0 = sF3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_154])]) ).
tff(f755,plain,
( ! [X15: $int] :
( ( 0 = sF3 )
| ( sF3 = X15 )
| ( sF4 != $product(sF3,X15) ) )
| ~ spl11_13 ),
inference(superposition,[],[f740,f240]) ).
tff(f49678,plain,
( spl11_659
| ~ spl11_2
| ~ spl11_314 ),
inference(avatar_split_clause,[],[f49511,f14757,f191,f49676]) ).
tff(f49676,plain,
( spl11_659
<=> $less($uminus(sF3),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_659])]) ).
tff(f49511,plain,
( $less($uminus(sF3),sK1)
| ~ spl11_2
| ~ spl11_314 ),
inference(resolution,[],[f49446,f358]) ).
tff(f49666,plain,
( spl11_658
| ~ spl11_10
| ~ spl11_136
| ~ spl11_187 ),
inference(avatar_split_clause,[],[f49652,f4737,f2701,f224,f49664]) ).
tff(f49664,plain,
( spl11_658
<=> $less($uminus(abs1(2)),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_658])]) ).
tff(f4737,plain,
( spl11_187
<=> $less(2,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_187])]) ).
tff(f49652,plain,
( $less($uminus(abs1(2)),sF10)
| ~ spl11_10
| ~ spl11_136
| ~ spl11_187 ),
inference(evaluation,[],[f49622]) ).
tff(f49622,plain,
( $less($uminus(abs1(2)),sF10)
| ( 0 = 2 )
| ~ spl11_10
| ~ spl11_136
| ~ spl11_187 ),
inference(resolution,[],[f45212,f161]) ).
tff(f161,plain,
! [X0: $int,X1: $int] :
( $less($uminus(abs1(X1)),mod1(X0,X1))
| ( 0 = X1 ) ),
inference(cnf_transformation,[],[f112]) ).
tff(f112,plain,
! [X0: $int,X1: $int] :
( ( $less($uminus(abs1(X1)),mod1(X0,X1))
& $less(mod1(X0,X1),abs1(X1)) )
| ( 0 = X1 ) ),
inference(ennf_transformation,[],[f91]) ).
tff(f91,plain,
! [X0: $int,X1: $int] :
( ( 0 != X1 )
=> ( $less($uminus(abs1(X1)),mod1(X0,X1))
& $less(mod1(X0,X1),abs1(X1)) ) ),
inference(rectify,[],[f14]) ).
tff(f14,axiom,
! [X1: $int,X7: $int] :
( ( 0 != X7 )
=> ( $less(mod1(X1,X7),abs1(X7))
& $less($uminus(abs1(X7)),mod1(X1,X7)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mod_bound) ).
tff(f45212,plain,
( ! [X6: $int,X5: $int] :
( ~ $less(X5,mod1(X6,2))
| $less(X5,sF10) )
| ~ spl11_10
| ~ spl11_136
| ~ spl11_187 ),
inference(resolution,[],[f45177,f53]) ).
tff(f45177,plain,
( ! [X2: $int] : $less(mod1(X2,2),sF10)
| ~ spl11_10
| ~ spl11_136
| ~ spl11_187 ),
inference(resolution,[],[f44501,f362]) ).
tff(f44501,plain,
( ! [X5: $int] : $less(mod1(X5,2),sK0)
| ~ spl11_136
| ~ spl11_187 ),
inference(resolution,[],[f42760,f2707]) ).
tff(f42760,plain,
( ! [X176: $int] : $less(mod1(X176,2),sK2)
| ~ spl11_187 ),
inference(evaluation,[],[f42648]) ).
tff(f42648,plain,
( ! [X176: $int] :
( $less(2,0)
| ( 0 = 2 )
| $less(mod1(X176,2),sK2) )
| ~ spl11_187 ),
inference(resolution,[],[f376,f4741]) ).
tff(f4741,plain,
( ! [X0: $int] :
( ~ $less(X0,2)
| $less(X0,sK2) )
| ~ spl11_187 ),
inference(resolution,[],[f4738,f53]) ).
tff(f4738,plain,
( $less(2,sK2)
| ~ spl11_187 ),
inference(avatar_component_clause,[],[f4737]) ).
tff(f376,plain,
! [X0: $int,X1: $int] :
( $less(mod1(X1,X0),X0)
| $less(X0,0)
| ( 0 = X0 ) ),
inference(superposition,[],[f160,f126]) ).
tff(f160,plain,
! [X0: $int,X1: $int] :
( $less(mod1(X0,X1),abs1(X1))
| ( 0 = X1 ) ),
inference(cnf_transformation,[],[f112]) ).
tff(f49662,plain,
( spl11_657
| ~ spl11_1
| ~ spl11_314 ),
inference(avatar_split_clause,[],[f49510,f14757,f187,f49660]) ).
tff(f49660,plain,
( spl11_657
<=> $less($uminus(sF3),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_657])]) ).
tff(f49510,plain,
( $less($uminus(sF3),sK2)
| ~ spl11_1
| ~ spl11_314 ),
inference(resolution,[],[f49446,f357]) ).
tff(f49658,plain,
( spl11_53
| spl11_656
| ~ spl11_19 ),
inference(avatar_split_clause,[],[f754,f264,f49656,f951]) ).
tff(f951,plain,
( spl11_53
<=> ( 0 = sK1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_53])]) ).
tff(f49656,plain,
( spl11_656
<=> ! [X14: $int] :
( ( sK1 = X14 )
| ( sF10 != $product(sK1,X14) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_656])]) ).
tff(f754,plain,
( ! [X14: $int] :
( ( sK1 = X14 )
| ( sF10 != $product(sK1,X14) )
| ( 0 = sK1 ) )
| ~ spl11_19 ),
inference(superposition,[],[f740,f265]) ).
tff(f49616,plain,
( spl11_655
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_91
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f44908,f9363,f1457,f982,f264,f243,f191,f49614]) ).
tff(f49614,plain,
( spl11_655
<=> $less($uminus($sum(sF5,sF10)),sF6) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_655])]) ).
tff(f1457,plain,
( spl11_91
<=> $less($uminus(sF10),sF6) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_91])]) ).
tff(f44908,plain,
( $less($uminus($sum(sF5,sF10)),sF6)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_91
| ~ spl11_263 ),
inference(forward_demodulation,[],[f44907,f47]) ).
tff(f44907,plain,
( $less($uminus($sum(sF10,sF5)),sF6)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_91
| ~ spl11_263 ),
inference(forward_demodulation,[],[f44672,f50]) ).
tff(f44672,plain,
( $less($sum($uminus(sF5),$uminus(sF10)),sF6)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_91
| ~ spl11_263 ),
inference(resolution,[],[f41880,f1525]) ).
tff(f1525,plain,
( ! [X0: $int] :
( ~ $less(X0,$uminus(sF10))
| $less(X0,sF6) )
| ~ spl11_91 ),
inference(resolution,[],[f1458,f53]) ).
tff(f1458,plain,
( $less($uminus(sF10),sF6)
| ~ spl11_91 ),
inference(avatar_component_clause,[],[f1457]) ).
tff(f49535,plain,
( spl11_654
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_137
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f44904,f9363,f2730,f982,f264,f243,f191,f49533]) ).
tff(f49533,plain,
( spl11_654
<=> $less($sum(sK2,$uminus(sF5)),sF6) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_654])]) ).
tff(f2730,plain,
( spl11_137
<=> $less(sK2,sF6) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_137])]) ).
tff(f44904,plain,
( $less($sum(sK2,$uminus(sF5)),sF6)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_137
| ~ spl11_263 ),
inference(forward_demodulation,[],[f44726,f47]) ).
tff(f44726,plain,
( $less($sum($uminus(sF5),sK2),sF6)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_137
| ~ spl11_263 ),
inference(resolution,[],[f41880,f2951]) ).
tff(f2951,plain,
( ! [X0: $int] :
( ~ $less(X0,sK2)
| $less(X0,sF6) )
| ~ spl11_137 ),
inference(resolution,[],[f2731,f53]) ).
tff(f2731,plain,
( $less(sK2,sF6)
| ~ spl11_137 ),
inference(avatar_component_clause,[],[f2730]) ).
tff(f49508,plain,
( spl11_653
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_507 ),
inference(avatar_split_clause,[],[f44903,f37719,f9363,f982,f264,f243,f191,f49506]) ).
tff(f49506,plain,
( spl11_653
<=> $less($uminus($sum(sK1,sF5)),sF4) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_653])]) ).
tff(f37719,plain,
( spl11_507
<=> $less($uminus(sK1),sF4) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_507])]) ).
tff(f44903,plain,
( $less($uminus($sum(sK1,sF5)),sF4)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_507 ),
inference(forward_demodulation,[],[f44902,f47]) ).
tff(f44902,plain,
( $less($uminus($sum(sF5,sK1)),sF4)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_507 ),
inference(forward_demodulation,[],[f44901,f50]) ).
tff(f44901,plain,
( $less($sum($uminus(sK1),$uminus(sF5)),sF4)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_507 ),
inference(forward_demodulation,[],[f44636,f47]) ).
tff(f44636,plain,
( $less($sum($uminus(sF5),$uminus(sK1)),sF4)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_507 ),
inference(resolution,[],[f41880,f37808]) ).
tff(f37808,plain,
( ! [X2: $int] :
( ~ $less(X2,$uminus(sK1))
| $less(X2,sF4) )
| ~ spl11_507 ),
inference(resolution,[],[f37720,f53]) ).
tff(f37720,plain,
( $less($uminus(sK1),sF4)
| ~ spl11_507 ),
inference(avatar_component_clause,[],[f37719]) ).
tff(f49504,plain,
( spl11_651
| spl11_652
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_437 ),
inference(avatar_split_clause,[],[f47219,f28279,f982,f264,f191,f49502,f49499]) ).
tff(f49502,plain,
( spl11_652
<=> ( 0 = mod1($product(-1,sF10),sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_652])]) ).
tff(f47219,plain,
( ( 0 = mod1($product(-1,sF10),sK1) )
| $less($product(-1,sF10),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_437 ),
inference(forward_demodulation,[],[f47218,f28280]) ).
tff(f47218,plain,
( $less($product(-1,sF10),0)
| ( mod1($product(-1,sF10),sK1) = mod1(0,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f47217,f61]) ).
tff(f47217,plain,
( $less($product(-1,sF10),0)
| ( mod1($product(sF10,0),sK1) = mod1($product(-1,sF10),sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f47216,f58]) ).
tff(f47216,plain,
( $less($product(sF10,-1),0)
| ( mod1($product(sF10,0),sK1) = mod1($product(-1,sF10),sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f47193,f58]) ).
tff(f47193,plain,
( ( mod1($product(sF10,0),sK1) = mod1($product(sF10,-1),sK1) )
| $less($product(sF10,-1),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(evaluation,[],[f47173]) ).
tff(f47173,plain,
( $less($product(sF10,$uminus(1)),0)
| ( mod1($product(sF10,0),sK1) = mod1($product(sF10,$uminus(1)),sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f46470,f51]) ).
tff(f49497,plain,
( spl11_650
| ~ spl11_7
| ~ spl11_136
| ~ spl11_187 ),
inference(avatar_split_clause,[],[f49491,f4737,f2701,f211,f49495]) ).
tff(f49495,plain,
( spl11_650
<=> $less($uminus(abs1(2)),sF4) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_650])]) ).
tff(f49491,plain,
( $less($uminus(abs1(2)),sF4)
| ~ spl11_7
| ~ spl11_136
| ~ spl11_187 ),
inference(evaluation,[],[f49461]) ).
tff(f49461,plain,
( ( 0 = 2 )
| $less($uminus(abs1(2)),sF4)
| ~ spl11_7
| ~ spl11_136
| ~ spl11_187 ),
inference(resolution,[],[f45205,f161]) ).
tff(f45205,plain,
( ! [X6: $int,X5: $int] :
( ~ $less(X5,mod1(X6,2))
| $less(X5,sF4) )
| ~ spl11_7
| ~ spl11_136
| ~ spl11_187 ),
inference(resolution,[],[f45176,f53]) ).
tff(f45176,plain,
( ! [X1: $int] : $less(mod1(X1,2),sF4)
| ~ spl11_7
| ~ spl11_136
| ~ spl11_187 ),
inference(resolution,[],[f44501,f360]) ).
tff(f49455,plain,
( spl11_649
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_321 ),
inference(avatar_split_clause,[],[f44899,f16212,f9363,f982,f264,f243,f191,f49453]) ).
tff(f44899,plain,
( $less($sum(1,$uminus(sF5)),sF5)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_321 ),
inference(forward_demodulation,[],[f44700,f47]) ).
tff(f44700,plain,
( $less($sum($uminus(sF5),1),sF5)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_321 ),
inference(resolution,[],[f41880,f16395]) ).
tff(f49451,plain,
( spl11_648
| ~ spl11_8
| ~ spl11_136
| ~ spl11_187 ),
inference(avatar_split_clause,[],[f49444,f4737,f2701,f215,f49449]) ).
tff(f49449,plain,
( spl11_648
<=> $less($uminus(abs1(2)),sF6) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_648])]) ).
tff(f49444,plain,
( $less($uminus(abs1(2)),sF6)
| ~ spl11_8
| ~ spl11_136
| ~ spl11_187 ),
inference(evaluation,[],[f49413]) ).
tff(f49413,plain,
( ( 0 = 2 )
| $less($uminus(abs1(2)),sF6)
| ~ spl11_8
| ~ spl11_136
| ~ spl11_187 ),
inference(resolution,[],[f45198,f161]) ).
tff(f45198,plain,
( ! [X6: $int,X5: $int] :
( ~ $less(X5,mod1(X6,2))
| $less(X5,sF6) )
| ~ spl11_8
| ~ spl11_136
| ~ spl11_187 ),
inference(resolution,[],[f45175,f53]) ).
tff(f45175,plain,
( ! [X0: $int] : $less(mod1(X0,2),sF6)
| ~ spl11_8
| ~ spl11_136
| ~ spl11_187 ),
inference(resolution,[],[f44501,f361]) ).
tff(f49447,plain,
( spl11_314
| spl11_106
| ~ spl11_643 ),
inference(avatar_split_clause,[],[f49384,f49329,f1726,f14757]) ).
tff(f49384,plain,
( $less($uminus(sF3),0)
| spl11_106
| ~ spl11_643 ),
inference(subsumption_resolution,[],[f49379,f3891]) ).
tff(f49379,plain,
( $less($uminus(sF3),0)
| $less(sF3,0)
| ~ spl11_643 ),
inference(superposition,[],[f49330,f126]) ).
tff(f49407,plain,
( spl11_647
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_643 ),
inference(avatar_split_clause,[],[f49366,f49329,f982,f264,f191,f49405]) ).
tff(f49366,plain,
( $less($uminus(abs1(sF3)),sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_643 ),
inference(resolution,[],[f49330,f1404]) ).
tff(f49341,plain,
( spl11_645
| spl11_646
| ~ spl11_13
| ~ spl11_47
| spl11_106
| ~ spl11_457 ),
inference(avatar_split_clause,[],[f47152,f29820,f1726,f856,f239,f49339,f49336]) ).
tff(f49336,plain,
( spl11_645
<=> ( 0 = mod1($product(-1,sF4),sF3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_645])]) ).
tff(f49339,plain,
( spl11_646
<=> $less($product(-1,sF4),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_646])]) ).
tff(f47152,plain,
( $less($product(-1,sF4),0)
| ( 0 = mod1($product(-1,sF4),sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| ~ spl11_457 ),
inference(forward_demodulation,[],[f47151,f58]) ).
tff(f47151,plain,
( ( 0 = mod1($product(sF4,-1),sF3) )
| $less($product(-1,sF4),0)
| ~ spl11_13
| ~ spl11_47
| spl11_106
| ~ spl11_457 ),
inference(forward_demodulation,[],[f47150,f58]) ).
tff(f47150,plain,
( $less($product(sF4,-1),0)
| ( 0 = mod1($product(sF4,-1),sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| ~ spl11_457 ),
inference(forward_demodulation,[],[f47149,f29821]) ).
tff(f47149,plain,
( ( mod1($product(sF4,-1),sF3) = mod1(0,sF3) )
| $less($product(sF4,-1),0)
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(forward_demodulation,[],[f47102,f61]) ).
tff(f47102,plain,
( ( mod1($product(sF4,-1),sF3) = mod1($product(sF4,0),sF3) )
| $less($product(sF4,-1),0)
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(evaluation,[],[f47082]) ).
tff(f47082,plain,
( ( mod1($product(sF4,$uminus(1)),sF3) = mod1($product(sF4,0),sF3) )
| $less($product(sF4,$uminus(1)),0)
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f46460,f51]) ).
tff(f49334,plain,
( spl11_643
| spl11_154
| spl11_644
| ~ spl11_13
| ~ spl11_47
| spl11_170
| ~ spl11_456 ),
inference(avatar_split_clause,[],[f48399,f29801,f3897,f856,f239,f49332,f3454,f49329]) ).
tff(f49332,plain,
( spl11_644
<=> ! [X7: $int] : $less(X7,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_644])]) ).
tff(f29801,plain,
( spl11_456
<=> ( 0 = mod1(sF4,sF3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_456])]) ).
tff(f48399,plain,
( ! [X7: $int] :
( $less(X7,0)
| ( 0 = sF3 )
| $less($uminus(abs1(sF3)),0) )
| ~ spl11_13
| ~ spl11_47
| spl11_170
| ~ spl11_456 ),
inference(superposition,[],[f161,f48147]) ).
tff(f48147,plain,
( ! [X2: $int] :
( ( 0 = mod1($product(sF3,$sum(X2,sF3)),sF3) )
| $less(X2,0) )
| ~ spl11_13
| ~ spl11_47
| spl11_170
| ~ spl11_456 ),
inference(forward_demodulation,[],[f48146,f29802]) ).
tff(f29802,plain,
( ( 0 = mod1(sF4,sF3) )
| ~ spl11_456 ),
inference(avatar_component_clause,[],[f29801]) ).
tff(f48146,plain,
( ! [X2: $int] :
( $less(X2,0)
| ( mod1($product(sF3,$sum(X2,sF3)),sF3) = mod1(sF4,sF3) ) )
| ~ spl11_13
| ~ spl11_47
| spl11_170 ),
inference(subsumption_resolution,[],[f48145,f857]) ).
tff(f48145,plain,
( ! [X2: $int] :
( ~ $less(0,sF3)
| $less(X2,0)
| ( mod1($product(sF3,$sum(X2,sF3)),sF3) = mod1(sF4,sF3) ) )
| ~ spl11_13
| spl11_170 ),
inference(subsumption_resolution,[],[f48101,f3898]) ).
tff(f48101,plain,
( ! [X2: $int] :
( $less(sF4,0)
| $less(X2,0)
| ( mod1($product(sF3,$sum(X2,sF3)),sF3) = mod1(sF4,sF3) )
| ~ $less(0,sF3) )
| ~ spl11_13 ),
inference(superposition,[],[f147,f681]) ).
tff(f49327,plain,
( spl11_642
| ~ spl11_2
| ~ spl11_293
| ~ spl11_634 ),
inference(avatar_split_clause,[],[f49268,f48625,f13385,f191,f49325]) ).
tff(f49325,plain,
( spl11_642
<=> $less(0,$product(sK1,sF5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_642])]) ).
tff(f48625,plain,
( spl11_634
<=> ( sF5 = div1($product(sK1,sF5),sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_634])]) ).
tff(f49268,plain,
( $less(0,$product(sK1,sF5))
| ~ spl11_2
| ~ spl11_293
| ~ spl11_634 ),
inference(subsumption_resolution,[],[f49267,f192]) ).
tff(f49267,plain,
( ~ $less(0,sK1)
| $less(0,$product(sK1,sF5))
| ~ spl11_293
| ~ spl11_634 ),
inference(subsumption_resolution,[],[f49228,f14150]) ).
tff(f49228,plain,
( ~ $less(0,sF5)
| $less(0,$product(sK1,sF5))
| ~ $less(0,sK1)
| ~ spl11_634 ),
inference(superposition,[],[f140,f48626]) ).
tff(f48626,plain,
( ( sF5 = div1($product(sK1,sF5),sK1) )
| ~ spl11_634 ),
inference(avatar_component_clause,[],[f48625]) ).
tff(f49193,plain,
( spl11_641
| ~ spl11_306
| ~ spl11_636 ),
inference(avatar_split_clause,[],[f48680,f48671,f14143,f49191]) ).
tff(f49191,plain,
( spl11_641
<=> $less($uminus(abs1(sF10)),sF4) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_641])]) ).
tff(f14143,plain,
( spl11_306
<=> $less(sF5,sF4) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_306])]) ).
tff(f48671,plain,
( spl11_636
<=> $less($uminus(abs1(sF10)),sF5) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_636])]) ).
tff(f48680,plain,
( $less($uminus(abs1(sF10)),sF4)
| ~ spl11_306
| ~ spl11_636 ),
inference(resolution,[],[f48672,f14158]) ).
tff(f14158,plain,
( ! [X1: $int] :
( ~ $less(X1,sF5)
| $less(X1,sF4) )
| ~ spl11_306 ),
inference(resolution,[],[f14144,f53]) ).
tff(f14144,plain,
( $less(sF5,sF4)
| ~ spl11_306 ),
inference(avatar_component_clause,[],[f14143]) ).
tff(f48672,plain,
( $less($uminus(abs1(sF10)),sF5)
| ~ spl11_636 ),
inference(avatar_component_clause,[],[f48671]) ).
tff(f49189,plain,
( spl11_640
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_164
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f44896,f9363,f3764,f982,f264,f243,f191,f49187]) ).
tff(f49187,plain,
( spl11_640
<=> $less($sum(sF7,$uminus(sF5)),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_640])]) ).
tff(f44896,plain,
( $less($sum(sF7,$uminus(sF5)),sF10)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_164
| ~ spl11_263 ),
inference(forward_demodulation,[],[f44742,f47]) ).
tff(f44742,plain,
( $less($sum($uminus(sF5),sF7),sF10)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_164
| ~ spl11_263 ),
inference(resolution,[],[f41880,f3950]) ).
tff(f49185,plain,
( spl11_639
| ~ spl11_307
| ~ spl11_636 ),
inference(avatar_split_clause,[],[f48679,f48671,f14147,f49183]) ).
tff(f49183,plain,
( spl11_639
<=> $less($uminus(abs1(sF10)),sF6) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_639])]) ).
tff(f14147,plain,
( spl11_307
<=> $less(sF5,sF6) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_307])]) ).
tff(f48679,plain,
( $less($uminus(abs1(sF10)),sF6)
| ~ spl11_307
| ~ spl11_636 ),
inference(resolution,[],[f48672,f14161]) ).
tff(f14161,plain,
( ! [X1: $int] :
( ~ $less(X1,sF5)
| $less(X1,sF6) )
| ~ spl11_307 ),
inference(resolution,[],[f14148,f53]) ).
tff(f14148,plain,
( $less(sF5,sF6)
| ~ spl11_307 ),
inference(avatar_component_clause,[],[f14147]) ).
tff(f48987,plain,
( spl11_638
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_139
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f44887,f9363,f2820,f982,f264,f243,f191,f48985]) ).
tff(f48985,plain,
( spl11_638
<=> $less($sum(sK2,$uminus(sF5)),sF4) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_638])]) ).
tff(f2820,plain,
( spl11_139
<=> $less(sK2,sF4) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_139])]) ).
tff(f44887,plain,
( $less($sum(sK2,$uminus(sF5)),sF4)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_139
| ~ spl11_263 ),
inference(forward_demodulation,[],[f44727,f47]) ).
tff(f44727,plain,
( $less($sum($uminus(sF5),sK2),sF4)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_139
| ~ spl11_263 ),
inference(resolution,[],[f41880,f2971]) ).
tff(f2971,plain,
( ! [X0: $int] :
( ~ $less(X0,sK2)
| $less(X0,sF4) )
| ~ spl11_139 ),
inference(resolution,[],[f2821,f53]) ).
tff(f2821,plain,
( $less(sK2,sF4)
| ~ spl11_139 ),
inference(avatar_component_clause,[],[f2820]) ).
tff(f48677,plain,
( spl11_637
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_187
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f44886,f9363,f4737,f982,f264,f243,f191,f48675]) ).
tff(f48675,plain,
( spl11_637
<=> $less($sum(2,$uminus(sF5)),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_637])]) ).
tff(f44886,plain,
( $less($sum(2,$uminus(sF5)),sK2)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_187
| ~ spl11_263 ),
inference(forward_demodulation,[],[f44707,f47]) ).
tff(f44707,plain,
( $less($sum($uminus(sF5),2),sK2)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_187
| ~ spl11_263 ),
inference(resolution,[],[f41880,f4741]) ).
tff(f48673,plain,
( spl11_636
| ~ spl11_14
| spl11_564 ),
inference(avatar_split_clause,[],[f48211,f42469,f243,f48671]) ).
tff(f42469,plain,
( spl11_564
<=> $less(sK1,$uminus(abs1(sF10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_564])]) ).
tff(f48211,plain,
( $less($uminus(abs1(sF10)),sF5)
| ~ spl11_14
| spl11_564 ),
inference(resolution,[],[f42470,f332]) ).
tff(f332,plain,
( ! [X6: $int] :
( $less(sK1,X6)
| $less(X6,sF5) )
| ~ spl11_14 ),
inference(superposition,[],[f56,f244]) ).
tff(f42470,plain,
( ~ $less(sK1,$uminus(abs1(sF10)))
| spl11_564 ),
inference(avatar_component_clause,[],[f42469]) ).
tff(f48631,plain,
( spl11_635
| ~ spl11_2
| ~ spl11_17
| ~ spl11_19
| spl11_30
| spl11_74
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f48529,f9363,f1276,f541,f264,f255,f191,f48629]) ).
tff(f48529,plain,
( ( sF8 = div1($product(sK1,sF8),sK1) )
| ~ spl11_2
| ~ spl11_17
| ~ spl11_19
| spl11_30
| spl11_74
| ~ spl11_263 ),
inference(subsumption_resolution,[],[f48484,f542]) ).
tff(f48484,plain,
( ( sF8 = div1($product(sK1,sF8),sK1) )
| $less(sF7,0)
| ~ spl11_2
| ~ spl11_17
| ~ spl11_19
| spl11_74
| ~ spl11_263 ),
inference(superposition,[],[f47948,f256]) ).
tff(f48627,plain,
( spl11_634
| ~ spl11_2
| ~ spl11_19
| ~ spl11_20
| spl11_74
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f48527,f9363,f1276,f301,f264,f191,f48625]) ).
tff(f48527,plain,
( ( sF5 = div1($product(sK1,sF5),sK1) )
| ~ spl11_2
| ~ spl11_19
| ~ spl11_20
| spl11_74
| ~ spl11_263 ),
inference(evaluation,[],[f48482]) ).
tff(f48482,plain,
( $less(1,0)
| ( sF5 = div1($product(sK1,sF5),sK1) )
| ~ spl11_2
| ~ spl11_19
| ~ spl11_20
| spl11_74
| ~ spl11_263 ),
inference(superposition,[],[f47948,f302]) ).
tff(f48472,plain,
( spl11_633
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_390 ),
inference(avatar_split_clause,[],[f44885,f19798,f9363,f982,f264,f243,f191,f48470]) ).
tff(f48470,plain,
( spl11_633
<=> $less($uminus($sum(sF5,sF6)),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_633])]) ).
tff(f19798,plain,
( spl11_390
<=> $less($uminus(sF6),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_390])]) ).
tff(f44885,plain,
( $less($uminus($sum(sF5,sF6)),0)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_390 ),
inference(forward_demodulation,[],[f44884,f47]) ).
tff(f44884,plain,
( $less($uminus($sum(sF6,sF5)),0)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_390 ),
inference(forward_demodulation,[],[f44655,f50]) ).
tff(f44655,plain,
( $less($sum($uminus(sF5),$uminus(sF6)),0)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_390 ),
inference(resolution,[],[f41880,f20035]) ).
tff(f20035,plain,
( ! [X10: $int] :
( ~ $less(X10,$uminus(sF6))
| $less(X10,0) )
| ~ spl11_390 ),
inference(resolution,[],[f19799,f53]) ).
tff(f19799,plain,
( $less($uminus(sF6),0)
| ~ spl11_390 ),
inference(avatar_component_clause,[],[f19798]) ).
tff(f48468,plain,
( spl11_632
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_111
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f44880,f9363,f1868,f982,f264,f243,f191,f48466]) ).
tff(f48466,plain,
( spl11_632
<=> $less($sum(sF7,$uminus(sF5)),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_632])]) ).
tff(f1868,plain,
( spl11_111
<=> $less(sF7,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_111])]) ).
tff(f44880,plain,
( $less($sum(sF7,$uminus(sF5)),sK0)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_111
| ~ spl11_263 ),
inference(forward_demodulation,[],[f44743,f47]) ).
tff(f44743,plain,
( $less($sum($uminus(sF5),sF7),sK0)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_111
| ~ spl11_263 ),
inference(resolution,[],[f41880,f3712]) ).
tff(f3712,plain,
( ! [X0: $int] :
( ~ $less(X0,sF7)
| $less(X0,sK0) )
| ~ spl11_111 ),
inference(resolution,[],[f1869,f53]) ).
tff(f1869,plain,
( $less(sF7,sK0)
| ~ spl11_111 ),
inference(avatar_component_clause,[],[f1868]) ).
tff(f48330,plain,
( spl11_631
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| ~ spl11_49
| spl11_58
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f44874,f9363,f982,f913,f264,f243,f191,f48328]) ).
tff(f44874,plain,
( $less($sum(3,$uminus(sF5)),sF3)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| ~ spl11_49
| spl11_58
| ~ spl11_263 ),
inference(forward_demodulation,[],[f44702,f47]) ).
tff(f44702,plain,
( $less($sum($uminus(sF5),3),sF3)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| ~ spl11_49
| spl11_58
| ~ spl11_263 ),
inference(resolution,[],[f41880,f924]) ).
tff(f48254,plain,
( spl11_630
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_329 ),
inference(avatar_split_clause,[],[f44873,f16490,f9363,f982,f264,f243,f191,f48252]) ).
tff(f48252,plain,
( spl11_630
<=> $less($sum(-1,$uminus(sF5)),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_630])]) ).
tff(f16490,plain,
( spl11_329
<=> $less(-1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_329])]) ).
tff(f44873,plain,
( $less($sum(-1,$uminus(sF5)),sK2)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_329 ),
inference(forward_demodulation,[],[f44749,f47]) ).
tff(f44749,plain,
( $less($sum($uminus(sF5),-1),sK2)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_329 ),
inference(resolution,[],[f41880,f16504]) ).
tff(f16504,plain,
( ! [X1: $int] :
( ~ $less(X1,-1)
| $less(X1,sK2) )
| ~ spl11_329 ),
inference(resolution,[],[f16491,f53]) ).
tff(f16491,plain,
( $less(-1,sK2)
| ~ spl11_329 ),
inference(avatar_component_clause,[],[f16490]) ).
tff(f48250,plain,
( spl11_629
| ~ spl11_2
| ~ spl11_10
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f44872,f9363,f982,f264,f243,f224,f191,f48248]) ).
tff(f48248,plain,
( spl11_629
<=> $less($sum(sK0,$uminus(sF5)),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_629])]) ).
tff(f44872,plain,
( $less($sum(sK0,$uminus(sF5)),sF10)
| ~ spl11_2
| ~ spl11_10
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(forward_demodulation,[],[f44716,f47]) ).
tff(f44716,plain,
( $less($sum($uminus(sF5),sK0),sF10)
| ~ spl11_2
| ~ spl11_10
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(resolution,[],[f41880,f362]) ).
tff(f48246,plain,
( spl11_628
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_332 ),
inference(avatar_split_clause,[],[f44869,f16582,f9363,f982,f264,f243,f191,f48244]) ).
tff(f48244,plain,
( spl11_628
<=> $less($sum(-1,$uminus(sF5)),sF4) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_628])]) ).
tff(f16582,plain,
( spl11_332
<=> $less(-1,sF4) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_332])]) ).
tff(f44869,plain,
( $less($sum(-1,$uminus(sF5)),sF4)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_332 ),
inference(forward_demodulation,[],[f44752,f47]) ).
tff(f44752,plain,
( $less($sum($uminus(sF5),-1),sF4)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_332 ),
inference(resolution,[],[f41880,f17023]) ).
tff(f17023,plain,
( ! [X1: $int] :
( ~ $less(X1,-1)
| $less(X1,sF4) )
| ~ spl11_332 ),
inference(resolution,[],[f16583,f53]) ).
tff(f16583,plain,
( $less(-1,sF4)
| ~ spl11_332 ),
inference(avatar_component_clause,[],[f16582]) ).
tff(f48242,plain,
( spl11_627
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_184
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f44867,f9363,f4633,f982,f264,f243,f191,f48240]) ).
tff(f48240,plain,
( spl11_627
<=> $less($sum(2,$uminus(sF5)),sF8) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_627])]) ).
tff(f4633,plain,
( spl11_184
<=> $less(2,sF8) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_184])]) ).
tff(f44867,plain,
( $less($sum(2,$uminus(sF5)),sF8)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_184
| ~ spl11_263 ),
inference(forward_demodulation,[],[f44712,f47]) ).
tff(f44712,plain,
( $less($sum($uminus(sF5),2),sF8)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_184
| ~ spl11_263 ),
inference(resolution,[],[f41880,f7173]) ).
tff(f7173,plain,
( ! [X0: $int] :
( ~ $less(X0,2)
| $less(X0,sF8) )
| ~ spl11_184 ),
inference(resolution,[],[f4634,f53]) ).
tff(f4634,plain,
( $less(2,sF8)
| ~ spl11_184 ),
inference(avatar_component_clause,[],[f4633]) ).
tff(f48238,plain,
( spl11_626
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_309 ),
inference(avatar_split_clause,[],[f44866,f14199,f9363,f982,f264,f243,f191,f48236]) ).
tff(f48236,plain,
( spl11_626
<=> $less($uminus($sum(sF4,sF5)),sF5) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_626])]) ).
tff(f14199,plain,
( spl11_309
<=> $less($uminus(sF4),sF5) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_309])]) ).
tff(f44866,plain,
( $less($uminus($sum(sF4,sF5)),sF5)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_309 ),
inference(forward_demodulation,[],[f44865,f47]) ).
tff(f44865,plain,
( $less($uminus($sum(sF5,sF4)),sF5)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_309 ),
inference(forward_demodulation,[],[f44864,f50]) ).
tff(f44864,plain,
( $less($sum($uminus(sF4),$uminus(sF5)),sF5)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_309 ),
inference(forward_demodulation,[],[f44652,f47]) ).
tff(f44652,plain,
( $less($sum($uminus(sF5),$uminus(sF4)),sF5)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_309 ),
inference(resolution,[],[f41880,f14223]) ).
tff(f14223,plain,
( ! [X1: $int] :
( ~ $less(X1,$uminus(sF4))
| $less(X1,sF5) )
| ~ spl11_309 ),
inference(resolution,[],[f14200,f53]) ).
tff(f14200,plain,
( $less($uminus(sF4),sF5)
| ~ spl11_309 ),
inference(avatar_component_clause,[],[f14199]) ).
tff(f48234,plain,
( spl11_625
| ~ spl11_2
| ~ spl11_17
| ~ spl11_19
| spl11_30
| spl11_74
| ~ spl11_436 ),
inference(avatar_split_clause,[],[f48184,f28271,f1276,f541,f264,f255,f191,f48232]) ).
tff(f48184,plain,
( ( 0 = mod1($product(sK1,sF8),sK1) )
| ~ spl11_2
| ~ spl11_17
| ~ spl11_19
| spl11_30
| spl11_74
| ~ spl11_436 ),
inference(subsumption_resolution,[],[f48165,f542]) ).
tff(f48165,plain,
( $less(sF7,0)
| ( 0 = mod1($product(sK1,sF8),sK1) )
| ~ spl11_2
| ~ spl11_17
| ~ spl11_19
| spl11_74
| ~ spl11_436 ),
inference(superposition,[],[f47966,f256]) ).
tff(f48209,plain,
( spl11_624
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_117
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f44863,f9363,f2041,f982,f264,f243,f191,f48207]) ).
tff(f48207,plain,
( spl11_624
<=> $less($sum(sK1,$uminus(sF5)),sF8) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_624])]) ).
tff(f2041,plain,
( spl11_117
<=> $less(sK1,sF8) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_117])]) ).
tff(f44863,plain,
( $less($sum(sK1,$uminus(sF5)),sF8)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_117
| ~ spl11_263 ),
inference(forward_demodulation,[],[f44719,f47]) ).
tff(f44719,plain,
( $less($sum($uminus(sF5),sK1),sF8)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_117
| ~ spl11_263 ),
inference(resolution,[],[f41880,f2045]) ).
tff(f2045,plain,
( ! [X0: $int] :
( ~ $less(X0,sK1)
| $less(X0,sF8) )
| ~ spl11_117 ),
inference(resolution,[],[f2042,f53]) ).
tff(f2042,plain,
( $less(sK1,sF8)
| ~ spl11_117 ),
inference(avatar_component_clause,[],[f2041]) ).
tff(f48088,plain,
( spl11_623
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_69
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f44862,f9363,f1199,f982,f264,f243,f191,f48086]) ).
tff(f48086,plain,
( spl11_623
<=> $less($sum(sF8,$uminus(sF5)),sF6) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_623])]) ).
tff(f1199,plain,
( spl11_69
<=> $less(sF8,sF6) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_69])]) ).
tff(f44862,plain,
( $less($sum(sF8,$uminus(sF5)),sF6)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_69
| ~ spl11_263 ),
inference(forward_demodulation,[],[f44744,f47]) ).
tff(f44744,plain,
( $less($sum($uminus(sF5),sF8),sF6)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_69
| ~ spl11_263 ),
inference(resolution,[],[f41880,f1243]) ).
tff(f1243,plain,
( ! [X0: $int] :
( ~ $less(X0,sF8)
| $less(X0,sF6) )
| ~ spl11_69 ),
inference(resolution,[],[f1200,f53]) ).
tff(f1200,plain,
( $less(sF8,sF6)
| ~ spl11_69 ),
inference(avatar_component_clause,[],[f1199]) ).
tff(f47991,plain,
( spl11_622
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| ~ spl11_50
| spl11_58
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f44861,f9363,f982,f916,f264,f243,f191,f47989]) ).
tff(f47989,plain,
( spl11_622
<=> $less($sum(sK1,$uminus(sF5)),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_622])]) ).
tff(f916,plain,
( spl11_50
<=> $less(sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_50])]) ).
tff(f44861,plain,
( $less($sum(sK1,$uminus(sF5)),sK0)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| ~ spl11_50
| spl11_58
| ~ spl11_263 ),
inference(forward_demodulation,[],[f44720,f47]) ).
tff(f44720,plain,
( $less($sum($uminus(sF5),sK1),sK0)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| ~ spl11_50
| spl11_58
| ~ spl11_263 ),
inference(resolution,[],[f41880,f2370]) ).
tff(f2370,plain,
( ! [X0: $int] :
( ~ $less(X0,sK1)
| $less(X0,sK0) )
| ~ spl11_50 ),
inference(resolution,[],[f917,f53]) ).
tff(f917,plain,
( $less(sK1,sK0)
| ~ spl11_50 ),
inference(avatar_component_clause,[],[f916]) ).
tff(f47986,plain,
( spl11_621
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_231
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f44856,f9363,f6334,f982,f264,f243,f191,f47984]) ).
tff(f47984,plain,
( spl11_621
<=> $less($sum(2,$uminus(sF5)),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_621])]) ).
tff(f6334,plain,
( spl11_231
<=> $less(2,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_231])]) ).
tff(f44856,plain,
( $less($sum(2,$uminus(sF5)),sK0)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_231
| ~ spl11_263 ),
inference(forward_demodulation,[],[f44709,f47]) ).
tff(f44709,plain,
( $less($sum($uminus(sF5),2),sK0)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_231
| ~ spl11_263 ),
inference(resolution,[],[f41880,f6375]) ).
tff(f6375,plain,
( ! [X0: $int] :
( ~ $less(X0,2)
| $less(X0,sK0) )
| ~ spl11_231 ),
inference(resolution,[],[f6335,f53]) ).
tff(f6335,plain,
( $less(2,sK0)
| ~ spl11_231 ),
inference(avatar_component_clause,[],[f6334]) ).
tff(f47980,plain,
( spl11_620
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| ~ spl11_34
| spl11_58
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f44855,f9363,f982,f590,f264,f243,f191,f47978]) ).
tff(f47978,plain,
( spl11_620
<=> $less($sum(sK1,$uminus(sF5)),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_620])]) ).
tff(f590,plain,
( spl11_34
<=> $less(sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_34])]) ).
tff(f44855,plain,
( $less($sum(sK1,$uminus(sF5)),sK2)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| ~ spl11_34
| spl11_58
| ~ spl11_263 ),
inference(forward_demodulation,[],[f44718,f47]) ).
tff(f44718,plain,
( $less($sum($uminus(sF5),sK1),sK2)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| ~ spl11_34
| spl11_58
| ~ spl11_263 ),
inference(resolution,[],[f41880,f1028]) ).
tff(f1028,plain,
( ! [X0: $int] :
( ~ $less(X0,sK1)
| $less(X0,sK2) )
| ~ spl11_34 ),
inference(resolution,[],[f591,f53]) ).
tff(f591,plain,
( $less(sK1,sK2)
| ~ spl11_34 ),
inference(avatar_component_clause,[],[f590]) ).
tff(f47830,plain,
( spl11_619
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_222
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f44852,f9363,f6104,f982,f264,f243,f191,f47828]) ).
tff(f47828,plain,
( spl11_619
<=> $less($uminus($sum(sF4,sF5)),sF7) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_619])]) ).
tff(f6104,plain,
( spl11_222
<=> $less($uminus(sF4),sF7) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_222])]) ).
tff(f44852,plain,
( $less($uminus($sum(sF4,sF5)),sF7)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_222
| ~ spl11_263 ),
inference(forward_demodulation,[],[f44851,f47]) ).
tff(f44851,plain,
( $less($uminus($sum(sF5,sF4)),sF7)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_222
| ~ spl11_263 ),
inference(forward_demodulation,[],[f44850,f50]) ).
tff(f44850,plain,
( $less($sum($uminus(sF4),$uminus(sF5)),sF7)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_222
| ~ spl11_263 ),
inference(forward_demodulation,[],[f44649,f47]) ).
tff(f44649,plain,
( $less($sum($uminus(sF5),$uminus(sF4)),sF7)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_222
| ~ spl11_263 ),
inference(resolution,[],[f41880,f6113]) ).
tff(f6113,plain,
( ! [X0: $int] :
( ~ $less(X0,$uminus(sF4))
| $less(X0,sF7) )
| ~ spl11_222 ),
inference(resolution,[],[f6105,f53]) ).
tff(f6105,plain,
( $less($uminus(sF4),sF7)
| ~ spl11_222 ),
inference(avatar_component_clause,[],[f6104]) ).
tff(f47824,plain,
( spl11_618
| ~ spl11_248 ),
inference(avatar_split_clause,[],[f43361,f7700,f47822]) ).
tff(f47822,plain,
( spl11_618
<=> $less(0,$sum(sK0,$sum(sF10,sF10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_618])]) ).
tff(f7700,plain,
( spl11_248
<=> $less(0,$sum(sF10,$sum(sK0,sF10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_248])]) ).
tff(f43361,plain,
( $less(0,$sum(sK0,$sum(sF10,sF10)))
| ~ spl11_248 ),
inference(backward_demodulation,[],[f7701,f453]) ).
tff(f453,plain,
! [X8: $int,X9: $int,X7: $int] : ( $sum(X9,$sum(X7,X8)) = $sum(X7,$sum(X8,X9)) ),
inference(superposition,[],[f48,f47]) ).
tff(f7701,plain,
( $less(0,$sum(sF10,$sum(sK0,sF10)))
| ~ spl11_248 ),
inference(avatar_component_clause,[],[f7700]) ).
tff(f47820,plain,
( spl11_617
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| ~ spl11_56
| spl11_58
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f44845,f9363,f982,f973,f264,f243,f191,f47818]) ).
tff(f47818,plain,
( spl11_617
<=> $less($sum(sK1,$uminus(sF5)),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_617])]) ).
tff(f44845,plain,
( $less($sum(sK1,$uminus(sF5)),sF10)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| ~ spl11_56
| spl11_58
| ~ spl11_263 ),
inference(forward_demodulation,[],[f44721,f47]) ).
tff(f44721,plain,
( $less($sum($uminus(sF5),sK1),sF10)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| ~ spl11_56
| spl11_58
| ~ spl11_263 ),
inference(resolution,[],[f41880,f2385]) ).
tff(f47816,plain,
( spl11_616
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_81
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f44844,f9363,f1317,f982,f264,f243,f191,f47814]) ).
tff(f47814,plain,
( spl11_616
<=> $less($uminus($sum(sF5,sF10)),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_616])]) ).
tff(f1317,plain,
( spl11_81
<=> $less($uminus(sF10),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_81])]) ).
tff(f44844,plain,
( $less($uminus($sum(sF5,sF10)),sK2)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_81
| ~ spl11_263 ),
inference(forward_demodulation,[],[f44843,f47]) ).
tff(f44843,plain,
( $less($uminus($sum(sF10,sF5)),sK2)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_81
| ~ spl11_263 ),
inference(forward_demodulation,[],[f44670,f50]) ).
tff(f44670,plain,
( $less($sum($uminus(sF5),$uminus(sF10)),sK2)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_81
| ~ spl11_263 ),
inference(resolution,[],[f41880,f1437]) ).
tff(f1437,plain,
( ! [X0: $int] :
( ~ $less(X0,$uminus(sF10))
| $less(X0,sK2) )
| ~ spl11_81 ),
inference(resolution,[],[f1318,f53]) ).
tff(f1318,plain,
( $less($uminus(sF10),sK2)
| ~ spl11_81 ),
inference(avatar_component_clause,[],[f1317]) ).
tff(f47781,plain,
( spl11_615
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_427 ),
inference(avatar_split_clause,[],[f44842,f23734,f9363,f982,f264,f243,f191,f47779]) ).
tff(f47779,plain,
( spl11_615
<=> $less($sum(sF3,$uminus(sF5)),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_615])]) ).
tff(f23734,plain,
( spl11_427
<=> $less(sF3,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_427])]) ).
tff(f44842,plain,
( $less($sum(sF3,$uminus(sF5)),sK0)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_427 ),
inference(forward_demodulation,[],[f44733,f47]) ).
tff(f44733,plain,
( $less($sum($uminus(sF5),sF3),sK0)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_427 ),
inference(resolution,[],[f41880,f24008]) ).
tff(f24008,plain,
( ! [X2: $int] :
( ~ $less(X2,sF3)
| $less(X2,sK0) )
| ~ spl11_427 ),
inference(resolution,[],[f23735,f53]) ).
tff(f23735,plain,
( $less(sF3,sK0)
| ~ spl11_427 ),
inference(avatar_component_clause,[],[f23734]) ).
tff(f47777,plain,
( spl11_614
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_510 ),
inference(avatar_split_clause,[],[f44839,f38031,f9363,f982,f264,f243,f191,f47775]) ).
tff(f47775,plain,
( spl11_614
<=> $less($uminus($sum(sK1,sF5)),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_614])]) ).
tff(f38031,plain,
( spl11_510
<=> $less($uminus(sK1),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_510])]) ).
tff(f44839,plain,
( $less($uminus($sum(sK1,sF5)),sK2)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_510 ),
inference(forward_demodulation,[],[f44838,f47]) ).
tff(f44838,plain,
( $less($uminus($sum(sF5,sK1)),sK2)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_510 ),
inference(forward_demodulation,[],[f44837,f50]) ).
tff(f44837,plain,
( $less($sum($uminus(sK1),$uminus(sF5)),sK2)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_510 ),
inference(forward_demodulation,[],[f44638,f47]) ).
tff(f44638,plain,
( $less($sum($uminus(sF5),$uminus(sK1)),sK2)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_510 ),
inference(resolution,[],[f41880,f38043]) ).
tff(f38043,plain,
( ! [X2: $int] :
( ~ $less(X2,$uminus(sK1))
| $less(X2,sK2) )
| ~ spl11_510 ),
inference(resolution,[],[f38032,f53]) ).
tff(f38032,plain,
( $less($uminus(sK1),sK2)
| ~ spl11_510 ),
inference(avatar_component_clause,[],[f38031]) ).
tff(f47771,plain,
( spl11_613
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_396 ),
inference(avatar_split_clause,[],[f44836,f20098,f9363,f982,f264,f243,f191,f47769]) ).
tff(f47769,plain,
( spl11_613
<=> $less($uminus($sum(sF5,sF6)),sF8) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_613])]) ).
tff(f20098,plain,
( spl11_396
<=> $less($uminus(sF6),sF8) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_396])]) ).
tff(f44836,plain,
( $less($uminus($sum(sF5,sF6)),sF8)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_396 ),
inference(forward_demodulation,[],[f44835,f47]) ).
tff(f44835,plain,
( $less($uminus($sum(sF6,sF5)),sF8)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_396 ),
inference(forward_demodulation,[],[f44659,f50]) ).
tff(f44659,plain,
( $less($sum($uminus(sF5),$uminus(sF6)),sF8)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_396 ),
inference(resolution,[],[f41880,f20187]) ).
tff(f20187,plain,
( ! [X2: $int] :
( ~ $less(X2,$uminus(sF6))
| $less(X2,sF8) )
| ~ spl11_396 ),
inference(resolution,[],[f20099,f53]) ).
tff(f20099,plain,
( $less($uminus(sF6),sF8)
| ~ spl11_396 ),
inference(avatar_component_clause,[],[f20098]) ).
tff(f47461,plain,
( spl11_612
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_268 ),
inference(avatar_split_clause,[],[f44834,f9679,f9363,f982,f264,f243,f191,f47459]) ).
tff(f44834,plain,
( $less($sum(1,$uminus(sF5)),sF8)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_268 ),
inference(forward_demodulation,[],[f44696,f47]) ).
tff(f44696,plain,
( $less($sum($uminus(sF5),1),sF8)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_268 ),
inference(resolution,[],[f41880,f9868]) ).
tff(f47375,plain,
( spl11_611
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_433 ),
inference(avatar_split_clause,[],[f44833,f24014,f9363,f982,f264,f243,f191,f47373]) ).
tff(f47373,plain,
( spl11_611
<=> $less($sum(sF3,$uminus(sF5)),sF6) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_611])]) ).
tff(f24014,plain,
( spl11_433
<=> $less(sF3,sF6) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_433])]) ).
tff(f44833,plain,
( $less($sum(sF3,$uminus(sF5)),sF6)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_433 ),
inference(forward_demodulation,[],[f44732,f47]) ).
tff(f44732,plain,
( $less($sum($uminus(sF5),sF3),sF6)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_433 ),
inference(resolution,[],[f41880,f24061]) ).
tff(f24061,plain,
( ! [X2: $int] :
( ~ $less(X2,sF3)
| $less(X2,sF6) )
| ~ spl11_433 ),
inference(resolution,[],[f24015,f53]) ).
tff(f24015,plain,
( $less(sF3,sF6)
| ~ spl11_433 ),
inference(avatar_component_clause,[],[f24014]) ).
tff(f47371,plain,
( spl11_610
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_439 ),
inference(avatar_split_clause,[],[f47338,f28425,f982,f264,f243,f191,f47369]) ).
tff(f47369,plain,
( spl11_610
<=> ( 0 = mod1($product(sK1,sF5),sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_610])]) ).
tff(f28425,plain,
( spl11_439
<=> ( 0 = mod1(sK1,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_439])]) ).
tff(f47338,plain,
( ( 0 = mod1($product(sK1,sF5),sK1) )
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_439 ),
inference(forward_demodulation,[],[f47337,f28426]) ).
tff(f28426,plain,
( ( 0 = mod1(sK1,sK1) )
| ~ spl11_439 ),
inference(avatar_component_clause,[],[f28425]) ).
tff(f47337,plain,
( ( mod1($product(sK1,sF5),sK1) = mod1(sK1,sK1) )
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f47336,f60]) ).
tff(f47336,plain,
( ( mod1($product(sK1,1),sK1) = mod1($product(sK1,sF5),sK1) )
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58 ),
inference(subsumption_resolution,[],[f47335,f983]) ).
tff(f47335,plain,
( $less(sK1,0)
| ( mod1($product(sK1,1),sK1) = mod1($product(sK1,sF5),sK1) )
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f47267,f60]) ).
tff(f47267,plain,
( $less($product(sK1,1),0)
| ( mod1($product(sK1,1),sK1) = mod1($product(sK1,sF5),sK1) )
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f46616,f244]) ).
tff(f47367,plain,
( spl11_609
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| ~ spl11_46
| spl11_58
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f44832,f9363,f982,f852,f264,f243,f191,f47365]) ).
tff(f47365,plain,
( spl11_609
<=> $less($sum(sK1,$uminus(sF5)),sF3) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_609])]) ).
tff(f852,plain,
( spl11_46
<=> $less(sK1,sF3) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_46])]) ).
tff(f44832,plain,
( $less($sum(sK1,$uminus(sF5)),sF3)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| ~ spl11_46
| spl11_58
| ~ spl11_263 ),
inference(forward_demodulation,[],[f44717,f47]) ).
tff(f44717,plain,
( $less($sum($uminus(sF5),sK1),sF3)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| ~ spl11_46
| spl11_58
| ~ spl11_263 ),
inference(resolution,[],[f41880,f860]) ).
tff(f860,plain,
( ! [X0: $int] :
( ~ $less(X0,sK1)
| $less(X0,sF3) )
| ~ spl11_46 ),
inference(resolution,[],[f853,f53]) ).
tff(f853,plain,
( $less(sK1,sF3)
| ~ spl11_46 ),
inference(avatar_component_clause,[],[f852]) ).
tff(f47363,plain,
( ~ spl11_608
| spl11_607 ),
inference(avatar_split_clause,[],[f47356,f47352,f47361]) ).
tff(f47361,plain,
( spl11_608
<=> $less(sK0,$product(sK1,sF7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_608])]) ).
tff(f47352,plain,
( spl11_607
<=> $less(sK0,abs1($product(sK1,sF7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_607])]) ).
tff(f47356,plain,
( ~ $less(sK0,$product(sK1,sF7))
| spl11_607 ),
inference(resolution,[],[f47353,f149]) ).
tff(f149,plain,
! [X0: $int,X1: $int] :
( $less(X0,abs1(X1))
| ~ $less(X0,X1) ),
inference(cnf_transformation,[],[f83]) ).
tff(f83,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,abs1(X1))
<=> ( ~ $less(X0,X1)
& ~ $less(X1,$uminus(X0)) ) ),
inference(rectify,[],[f42]) ).
tff(f42,plain,
! [X7: $int,X1: $int] :
( ( ~ $less(X7,X1)
& ~ $less(X1,$uminus(X7)) )
<=> ~ $less(X7,abs1(X1)) ),
inference(theory_normalization,[],[f10]) ).
tff(f10,axiom,
! [X7: $int,X1: $int] :
( ( $lesseq(X1,X7)
& $lesseq($uminus(X7),X1) )
<=> $lesseq(abs1(X1),X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abs_le) ).
tff(f47353,plain,
( ~ $less(sK0,abs1($product(sK1,sF7)))
| spl11_607 ),
inference(avatar_component_clause,[],[f47352]) ).
tff(f47354,plain,
( ~ spl11_607
| spl11_5
| spl11_535 ),
inference(avatar_split_clause,[],[f41219,f40733,f203,f47352]) ).
tff(f203,plain,
( spl11_5
<=> $less(sK0,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_5])]) ).
tff(f40733,plain,
( spl11_535
<=> $less(abs1(sK0),abs1($product(sK1,sF7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_535])]) ).
tff(f41219,plain,
( ~ $less(sK0,abs1($product(sK1,sF7)))
| spl11_5
| spl11_535 ),
inference(subsumption_resolution,[],[f41216,f204]) ).
tff(f204,plain,
( ~ $less(sK0,0)
| spl11_5 ),
inference(avatar_component_clause,[],[f203]) ).
tff(f41216,plain,
( $less(sK0,0)
| ~ $less(sK0,abs1($product(sK1,sF7)))
| spl11_535 ),
inference(superposition,[],[f40734,f126]) ).
tff(f40734,plain,
( ~ $less(abs1(sK0),abs1($product(sK1,sF7)))
| spl11_535 ),
inference(avatar_component_clause,[],[f40733]) ).
tff(f47350,plain,
( spl11_606
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_393 ),
inference(avatar_split_clause,[],[f44831,f20079,f9363,f982,f264,f243,f191,f47348]) ).
tff(f47348,plain,
( spl11_606
<=> $less($uminus($sum(sF5,sF6)),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_606])]) ).
tff(f20079,plain,
( spl11_393
<=> $less($uminus(sF6),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_393])]) ).
tff(f44831,plain,
( $less($uminus($sum(sF5,sF6)),sK2)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_393 ),
inference(forward_demodulation,[],[f44830,f47]) ).
tff(f44830,plain,
( $less($uminus($sum(sF6,sF5)),sK2)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_393 ),
inference(forward_demodulation,[],[f44656,f50]) ).
tff(f44656,plain,
( $less($sum($uminus(sF5),$uminus(sF6)),sK2)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_393 ),
inference(resolution,[],[f41880,f20158]) ).
tff(f20158,plain,
( ! [X2: $int] :
( ~ $less(X2,$uminus(sF6))
| $less(X2,sK2) )
| ~ spl11_393 ),
inference(resolution,[],[f20080,f53]) ).
tff(f20080,plain,
( $less($uminus(sF6),sK2)
| ~ spl11_393 ),
inference(avatar_component_clause,[],[f20079]) ).
tff(f47163,plain,
( spl11_605
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_203
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f44827,f9363,f5008,f982,f264,f243,f191,f47161]) ).
tff(f47161,plain,
( spl11_605
<=> $less($uminus($sum(sF4,sF5)),sF4) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_605])]) ).
tff(f5008,plain,
( spl11_203
<=> $less($uminus(sF4),sF4) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_203])]) ).
tff(f44827,plain,
( $less($uminus($sum(sF4,sF5)),sF4)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_203
| ~ spl11_263 ),
inference(forward_demodulation,[],[f44826,f47]) ).
tff(f44826,plain,
( $less($uminus($sum(sF5,sF4)),sF4)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_203
| ~ spl11_263 ),
inference(forward_demodulation,[],[f44825,f50]) ).
tff(f44825,plain,
( $less($sum($uminus(sF4),$uminus(sF5)),sF4)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_203
| ~ spl11_263 ),
inference(forward_demodulation,[],[f44645,f47]) ).
tff(f44645,plain,
( $less($sum($uminus(sF5),$uminus(sF4)),sF4)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_203
| ~ spl11_263 ),
inference(resolution,[],[f41880,f5145]) ).
tff(f5145,plain,
( ! [X0: $int] :
( ~ $less(X0,$uminus(sF4))
| $less(X0,sF4) )
| ~ spl11_203 ),
inference(resolution,[],[f5009,f53]) ).
tff(f5009,plain,
( $less($uminus(sF4),sF4)
| ~ spl11_203 ),
inference(avatar_component_clause,[],[f5008]) ).
tff(f46863,plain,
( spl11_604
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_68
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f44823,f9363,f1173,f982,f264,f243,f191,f46861]) ).
tff(f46861,plain,
( spl11_604
<=> $less($uminus($sum(sF5,sF10)),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_604])]) ).
tff(f44823,plain,
( $less($uminus($sum(sF5,sF10)),0)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_68
| ~ spl11_263 ),
inference(forward_demodulation,[],[f44822,f47]) ).
tff(f44822,plain,
( $less($uminus($sum(sF10,sF5)),0)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_68
| ~ spl11_263 ),
inference(forward_demodulation,[],[f44668,f50]) ).
tff(f44668,plain,
( $less($sum($uminus(sF5),$uminus(sF10)),0)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_68
| ~ spl11_263 ),
inference(resolution,[],[f41880,f1272]) ).
tff(f1272,plain,
( ! [X0: $int] :
( ~ $less(X0,$uminus(sF10))
| $less(X0,0) )
| ~ spl11_68 ),
inference(resolution,[],[f1174,f53]) ).
tff(f46859,plain,
( spl11_603
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_82
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f44821,f9363,f1330,f982,f264,f243,f191,f46857]) ).
tff(f46857,plain,
( spl11_603
<=> $less($uminus($sum(sF5,sF10)),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_603])]) ).
tff(f1330,plain,
( spl11_82
<=> $less($uminus(sF10),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_82])]) ).
tff(f44821,plain,
( $less($uminus($sum(sF5,sF10)),sK0)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_82
| ~ spl11_263 ),
inference(forward_demodulation,[],[f44820,f47]) ).
tff(f44820,plain,
( $less($uminus($sum(sF10,sF5)),sK0)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_82
| ~ spl11_263 ),
inference(forward_demodulation,[],[f44671,f50]) ).
tff(f44671,plain,
( $less($sum($uminus(sF5),$uminus(sF10)),sK0)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_82
| ~ spl11_263 ),
inference(resolution,[],[f41880,f1454]) ).
tff(f1454,plain,
( ! [X0: $int] :
( ~ $less(X0,$uminus(sF10))
| $less(X0,sK0) )
| ~ spl11_82 ),
inference(resolution,[],[f1331,f53]) ).
tff(f1331,plain,
( $less($uminus(sF10),sK0)
| ~ spl11_82 ),
inference(avatar_component_clause,[],[f1330]) ).
tff(f46855,plain,
( spl11_602
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_269 ),
inference(avatar_split_clause,[],[f44817,f9683,f9363,f982,f264,f243,f191,f46853]) ).
tff(f44817,plain,
( $less($sum(1,$uminus(sF5)),sK0)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_269 ),
inference(forward_demodulation,[],[f44697,f47]) ).
tff(f44697,plain,
( $less($sum($uminus(sF5),1),sK0)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_269 ),
inference(resolution,[],[f41880,f9873]) ).
tff(f46820,plain,
( spl11_542
| spl11_534
| spl11_579 ),
inference(avatar_split_clause,[],[f46244,f45411,f40609,f41453]) ).
tff(f40609,plain,
( spl11_534
<=> $less(0,div1(0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_534])]) ).
tff(f45411,plain,
( spl11_579
<=> $less(div1(0,sK1),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_579])]) ).
tff(f46244,plain,
( ( 0 = div1(0,sK1) )
| spl11_534
| spl11_579 ),
inference(subsumption_resolution,[],[f46242,f40610]) ).
tff(f40610,plain,
( ~ $less(0,div1(0,sK1))
| spl11_534 ),
inference(avatar_component_clause,[],[f40609]) ).
tff(f46242,plain,
( ( 0 = div1(0,sK1) )
| $less(0,div1(0,sK1))
| spl11_579 ),
inference(resolution,[],[f45412,f54]) ).
tff(f45412,plain,
( ~ $less(div1(0,sK1),0)
| spl11_579 ),
inference(avatar_component_clause,[],[f45411]) ).
tff(f46773,plain,
( ~ spl11_601
| ~ spl11_14
| ~ spl11_529 ),
inference(avatar_split_clause,[],[f46235,f39955,f243,f46771]) ).
tff(f46771,plain,
( spl11_601
<=> $less($sum(sK1,sF8),sF5) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_601])]) ).
tff(f39955,plain,
( spl11_529
<=> $less(sK1,$sum(sK1,sF8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_529])]) ).
tff(f46235,plain,
( ~ $less($sum(sK1,sF8),sF5)
| ~ spl11_14
| ~ spl11_529 ),
inference(resolution,[],[f39956,f342]) ).
tff(f342,plain,
( ! [X6: $int] :
( ~ $less(sK1,X6)
| ~ $less(X6,sF5) )
| ~ spl11_14 ),
inference(superposition,[],[f64,f244]) ).
tff(f64,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,$sum(X0,1))
| ~ $less(X0,X1) ),
introduced(theory_axiom_166,[]) ).
tff(f39956,plain,
( $less(sK1,$sum(sK1,sF8))
| ~ spl11_529 ),
inference(avatar_component_clause,[],[f39955]) ).
tff(f46769,plain,
( ~ spl11_600
| ~ spl11_14
| ~ spl11_528 ),
inference(avatar_split_clause,[],[f45771,f39951,f243,f46767]) ).
tff(f46767,plain,
( spl11_600
<=> $less($sum(sK1,sF6),sF5) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_600])]) ).
tff(f39951,plain,
( spl11_528
<=> $less(sK1,$sum(sK1,sF6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_528])]) ).
tff(f45771,plain,
( ~ $less($sum(sK1,sF6),sF5)
| ~ spl11_14
| ~ spl11_528 ),
inference(resolution,[],[f39952,f342]) ).
tff(f39952,plain,
( $less(sK1,$sum(sK1,sF6))
| ~ spl11_528 ),
inference(avatar_component_clause,[],[f39951]) ).
tff(f46765,plain,
( spl11_599
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_506 ),
inference(avatar_split_clause,[],[f44815,f37715,f9363,f982,f264,f243,f191,f46763]) ).
tff(f46763,plain,
( spl11_599
<=> $less($uminus($sum(sK1,sF5)),sF6) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_599])]) ).
tff(f37715,plain,
( spl11_506
<=> $less($uminus(sK1),sF6) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_506])]) ).
tff(f44815,plain,
( $less($uminus($sum(sK1,sF5)),sF6)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_506 ),
inference(forward_demodulation,[],[f44814,f47]) ).
tff(f44814,plain,
( $less($uminus($sum(sF5,sK1)),sF6)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_506 ),
inference(forward_demodulation,[],[f44813,f50]) ).
tff(f44813,plain,
( $less($sum($uminus(sK1),$uminus(sF5)),sF6)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_506 ),
inference(forward_demodulation,[],[f44635,f47]) ).
tff(f44635,plain,
( $less($sum($uminus(sF5),$uminus(sK1)),sF6)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_506 ),
inference(resolution,[],[f41880,f37753]) ).
tff(f37753,plain,
( ! [X2: $int] :
( ~ $less(X2,$uminus(sK1))
| $less(X2,sF6) )
| ~ spl11_506 ),
inference(resolution,[],[f37716,f53]) ).
tff(f37716,plain,
( $less($uminus(sK1),sF6)
| ~ spl11_506 ),
inference(avatar_component_clause,[],[f37715]) ).
tff(f46761,plain,
( ~ spl11_598
| ~ spl11_14
| ~ spl11_526 ),
inference(avatar_split_clause,[],[f45576,f39937,f243,f46759]) ).
tff(f46759,plain,
( spl11_598
<=> $less($sum(sK1,sF3),sF5) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_598])]) ).
tff(f39937,plain,
( spl11_526
<=> $less(sK1,$sum(sK1,sF3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_526])]) ).
tff(f45576,plain,
( ~ $less($sum(sK1,sF3),sF5)
| ~ spl11_14
| ~ spl11_526 ),
inference(resolution,[],[f39938,f342]) ).
tff(f39938,plain,
( $less(sK1,$sum(sK1,sF3))
| ~ spl11_526 ),
inference(avatar_component_clause,[],[f39937]) ).
tff(f46757,plain,
( spl11_597
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_331 ),
inference(avatar_split_clause,[],[f44812,f16506,f9363,f982,f264,f243,f191,f46755]) ).
tff(f46755,plain,
( spl11_597
<=> $less($sum(-1,$uminus(sF5)),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_597])]) ).
tff(f16506,plain,
( spl11_331
<=> $less(-1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_331])]) ).
tff(f44812,plain,
( $less($sum(-1,$uminus(sF5)),sK0)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_331 ),
inference(forward_demodulation,[],[f44750,f47]) ).
tff(f44750,plain,
( $less($sum($uminus(sF5),-1),sK0)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_331 ),
inference(resolution,[],[f41880,f16580]) ).
tff(f16580,plain,
( ! [X1: $int] :
( ~ $less(X1,-1)
| $less(X1,sK0) )
| ~ spl11_331 ),
inference(resolution,[],[f16507,f53]) ).
tff(f16507,plain,
( $less(-1,sK0)
| ~ spl11_331 ),
inference(avatar_component_clause,[],[f16506]) ).
tff(f46753,plain,
( spl11_596
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| ~ spl11_51
| spl11_58
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f44811,f9363,f982,f935,f264,f243,f191,f46751]) ).
tff(f44811,plain,
( $less($sum(1,$uminus(sF5)),sF3)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| ~ spl11_51
| spl11_58
| ~ spl11_263 ),
inference(forward_demodulation,[],[f44692,f47]) ).
tff(f44692,plain,
( $less($sum($uminus(sF5),1),sF3)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| ~ spl11_51
| spl11_58
| ~ spl11_263 ),
inference(resolution,[],[f41880,f954]) ).
tff(f46749,plain,
( ~ spl11_595
| ~ spl11_14
| ~ spl11_524 ),
inference(avatar_split_clause,[],[f45414,f39856,f243,f46747]) ).
tff(f46747,plain,
( spl11_595
<=> $less($sum(sK1,sF4),sF5) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_595])]) ).
tff(f39856,plain,
( spl11_524
<=> $less(sK1,$sum(sK1,sF4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_524])]) ).
tff(f45414,plain,
( ~ $less($sum(sK1,sF4),sF5)
| ~ spl11_14
| ~ spl11_524 ),
inference(resolution,[],[f39857,f342]) ).
tff(f39857,plain,
( $less(sK1,$sum(sK1,sF4))
| ~ spl11_524 ),
inference(avatar_component_clause,[],[f39856]) ).
tff(f46745,plain,
( spl11_594
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_190
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f44810,f9363,f4762,f982,f264,f243,f191,f46743]) ).
tff(f46743,plain,
( spl11_594
<=> $less($uminus($sum(sF4,sF5)),sF3) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_594])]) ).
tff(f4762,plain,
( spl11_190
<=> $less($uminus(sF4),sF3) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_190])]) ).
tff(f44810,plain,
( $less($uminus($sum(sF4,sF5)),sF3)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_190
| ~ spl11_263 ),
inference(forward_demodulation,[],[f44809,f47]) ).
tff(f44809,plain,
( $less($uminus($sum(sF5,sF4)),sF3)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_190
| ~ spl11_263 ),
inference(forward_demodulation,[],[f44808,f50]) ).
tff(f44808,plain,
( $less($sum($uminus(sF4),$uminus(sF5)),sF3)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_190
| ~ spl11_263 ),
inference(forward_demodulation,[],[f44648,f47]) ).
tff(f44648,plain,
( $less($sum($uminus(sF5),$uminus(sF4)),sF3)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_190
| ~ spl11_263 ),
inference(resolution,[],[f41880,f5707]) ).
tff(f5707,plain,
( ! [X0: $int] :
( ~ $less(X0,$uminus(sF4))
| $less(X0,sF3) )
| ~ spl11_190 ),
inference(resolution,[],[f5701,f53]) ).
tff(f5701,plain,
( $less($uminus(sF4),sF3)
| ~ spl11_190 ),
inference(avatar_component_clause,[],[f4762]) ).
tff(f46691,plain,
( spl11_53
| spl11_593
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f46254,f982,f264,f191,f46689,f951]) ).
tff(f46689,plain,
( spl11_593
<=> ! [X7: $int] :
( ~ $less(abs1($sum(sF10,X7)),$product(sK1,$sum(sK1,div1(X7,sK1))))
| $less(X7,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_593])]) ).
tff(f46254,plain,
( ! [X7: $int] :
( ~ $less(abs1($sum(sF10,X7)),$product(sK1,$sum(sK1,div1(X7,sK1))))
| ( 0 = sK1 )
| $less(X7,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f656,f1119]) ).
tff(f656,plain,
! [X0: $int,X1: $int] :
( ~ $less(abs1(X1),$product(X0,div1(X1,X0)))
| ( 0 = X0 ) ),
inference(resolution,[],[f653,f149]) ).
tff(f653,plain,
! [X0: $int,X1: $int] :
( ~ $less(abs1(X0),abs1($product(X1,div1(X0,X1))))
| ( 0 = X1 ) ),
inference(forward_demodulation,[],[f146,f58]) ).
tff(f146,plain,
! [X0: $int,X1: $int] :
( ( 0 = X1 )
| ~ $less(abs1(X0),abs1($product(div1(X0,X1),X1))) ),
inference(cnf_transformation,[],[f121]) ).
tff(f121,plain,
! [X1: $int,X0: $int] :
( ~ $less(abs1(X0),abs1($product(div1(X0,X1),X1)))
| ( 0 = X1 ) ),
inference(ennf_transformation,[],[f70]) ).
tff(f70,plain,
! [X1: $int,X0: $int] :
( ( 0 != X1 )
=> ~ $less(abs1(X0),abs1($product(div1(X0,X1),X1))) ),
inference(rectify,[],[f34]) ).
tff(f34,plain,
! [X1: $int,X7: $int] :
( ( 0 != X7 )
=> ~ $less(abs1(X1),abs1($product(div1(X1,X7),X7))) ),
inference(theory_normalization,[],[f19]) ).
tff(f19,axiom,
! [X1: $int,X7: $int] :
( ( 0 != X7 )
=> $lesseq(abs1($product(div1(X1,X7),X7)),abs1(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rounds_toward_zero) ).
tff(f46687,plain,
( spl11_592
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_221
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f44793,f9363,f6100,f982,f264,f243,f191,f46685]) ).
tff(f46685,plain,
( spl11_592
<=> $less($uminus($sum(sF5,sF10)),sF7) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_592])]) ).
tff(f6100,plain,
( spl11_221
<=> $less($uminus(sF10),sF7) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_221])]) ).
tff(f44793,plain,
( $less($uminus($sum(sF5,sF10)),sF7)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_221
| ~ spl11_263 ),
inference(forward_demodulation,[],[f44792,f47]) ).
tff(f44792,plain,
( $less($uminus($sum(sF10,sF5)),sF7)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_221
| ~ spl11_263 ),
inference(forward_demodulation,[],[f44678,f50]) ).
tff(f44678,plain,
( $less($sum($uminus(sF5),$uminus(sF10)),sF7)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_221
| ~ spl11_263 ),
inference(resolution,[],[f41880,f6109]) ).
tff(f6109,plain,
( ! [X0: $int] :
( ~ $less(X0,$uminus(sF10))
| $less(X0,sF7) )
| ~ spl11_221 ),
inference(resolution,[],[f6101,f53]) ).
tff(f6101,plain,
( $less($uminus(sF10),sF7)
| ~ spl11_221 ),
inference(avatar_component_clause,[],[f6100]) ).
tff(f46683,plain,
( spl11_591
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_174
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f44791,f9363,f4212,f982,f264,f243,f191,f46681]) ).
tff(f46681,plain,
( spl11_591
<=> $less($uminus($sum(sF4,sF5)),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_591])]) ).
tff(f4212,plain,
( spl11_174
<=> $less($uminus(sF4),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_174])]) ).
tff(f44791,plain,
( $less($uminus($sum(sF4,sF5)),0)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_174
| ~ spl11_263 ),
inference(forward_demodulation,[],[f44790,f47]) ).
tff(f44790,plain,
( $less($uminus($sum(sF5,sF4)),0)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_174
| ~ spl11_263 ),
inference(forward_demodulation,[],[f44789,f50]) ).
tff(f44789,plain,
( $less($sum($uminus(sF4),$uminus(sF5)),0)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_174
| ~ spl11_263 ),
inference(forward_demodulation,[],[f44641,f47]) ).
tff(f44641,plain,
( $less($sum($uminus(sF5),$uminus(sF4)),0)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_174
| ~ spl11_263 ),
inference(resolution,[],[f41880,f4781]) ).
tff(f4781,plain,
( ! [X1: $int] :
( ~ $less(X1,$uminus(sF4))
| $less(X1,0) )
| ~ spl11_174 ),
inference(resolution,[],[f4213,f53]) ).
tff(f4213,plain,
( $less($uminus(sF4),0)
| ~ spl11_174 ),
inference(avatar_component_clause,[],[f4212]) ).
tff(f46679,plain,
( spl11_590
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_256
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f44788,f9363,f8175,f982,f264,f243,f191,f46677]) ).
tff(f46677,plain,
( spl11_590
<=> $less($uminus($sum(sF4,sF5)),sF8) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_590])]) ).
tff(f8175,plain,
( spl11_256
<=> $less($uminus(sF4),sF8) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_256])]) ).
tff(f44788,plain,
( $less($uminus($sum(sF4,sF5)),sF8)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_256
| ~ spl11_263 ),
inference(forward_demodulation,[],[f44787,f47]) ).
tff(f44787,plain,
( $less($uminus($sum(sF5,sF4)),sF8)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_256
| ~ spl11_263 ),
inference(forward_demodulation,[],[f44786,f50]) ).
tff(f44786,plain,
( $less($sum($uminus(sF4),$uminus(sF5)),sF8)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_256
| ~ spl11_263 ),
inference(forward_demodulation,[],[f44650,f47]) ).
tff(f44650,plain,
( $less($sum($uminus(sF5),$uminus(sF4)),sF8)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_256
| ~ spl11_263 ),
inference(resolution,[],[f41880,f8179]) ).
tff(f8179,plain,
( ! [X0: $int] :
( ~ $less(X0,$uminus(sF4))
| $less(X0,sF8) )
| ~ spl11_256 ),
inference(resolution,[],[f8176,f53]) ).
tff(f8176,plain,
( $less($uminus(sF4),sF8)
| ~ spl11_256 ),
inference(avatar_component_clause,[],[f8175]) ).
tff(f46607,plain,
( ~ spl11_589
| ~ spl11_14
| ~ spl11_523 ),
inference(avatar_split_clause,[],[f39958,f39852,f243,f46605]) ).
tff(f46605,plain,
( spl11_589
<=> $less($sum(sK1,sK2),sF5) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_589])]) ).
tff(f39852,plain,
( spl11_523
<=> $less(sK1,$sum(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_523])]) ).
tff(f39958,plain,
( ~ $less($sum(sK1,sK2),sF5)
| ~ spl11_14
| ~ spl11_523 ),
inference(resolution,[],[f39853,f342]) ).
tff(f39853,plain,
( $less(sK1,$sum(sK1,sK2))
| ~ spl11_523 ),
inference(avatar_component_clause,[],[f39852]) ).
tff(f46302,plain,
( spl11_588
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| ~ spl11_25
| spl11_58
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f44783,f9363,f982,f471,f264,f243,f191,f46300]) ).
tff(f46300,plain,
( spl11_588
<=> $less($sum(3,$uminus(sF5)),sF4) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_588])]) ).
tff(f471,plain,
( spl11_25
<=> $less(3,sF4) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_25])]) ).
tff(f44783,plain,
( $less($sum(3,$uminus(sF5)),sF4)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| ~ spl11_25
| spl11_58
| ~ spl11_263 ),
inference(forward_demodulation,[],[f44704,f47]) ).
tff(f44704,plain,
( $less($sum($uminus(sF5),3),sF4)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| ~ spl11_25
| spl11_58
| ~ spl11_263 ),
inference(resolution,[],[f41880,f475]) ).
tff(f475,plain,
( ! [X0: $int] :
( ~ $less(X0,3)
| $less(X0,sF4) )
| ~ spl11_25 ),
inference(resolution,[],[f472,f53]) ).
tff(f472,plain,
( $less(3,sF4)
| ~ spl11_25 ),
inference(avatar_component_clause,[],[f471]) ).
tff(f46298,plain,
( ~ spl11_587
| ~ spl11_14
| ~ spl11_521 ),
inference(avatar_split_clause,[],[f39839,f39828,f243,f46296]) ).
tff(f46296,plain,
( spl11_587
<=> $less($sum(sK0,sK1),sF5) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_587])]) ).
tff(f39828,plain,
( spl11_521
<=> $less(sK1,$sum(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_521])]) ).
tff(f39839,plain,
( ~ $less($sum(sK0,sK1),sF5)
| ~ spl11_14
| ~ spl11_521 ),
inference(resolution,[],[f39829,f342]) ).
tff(f39829,plain,
( $less(sK1,$sum(sK0,sK1))
| ~ spl11_521 ),
inference(avatar_component_clause,[],[f39828]) ).
tff(f46294,plain,
( spl11_586
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_503 ),
inference(avatar_split_clause,[],[f44782,f37429,f9363,f982,f264,f243,f191,f46292]) ).
tff(f46292,plain,
( spl11_586
<=> $less($uminus($sum(sK1,sF5)),sF7) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_586])]) ).
tff(f37429,plain,
( spl11_503
<=> $less($uminus(sK1),sF7) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_503])]) ).
tff(f44782,plain,
( $less($uminus($sum(sK1,sF5)),sF7)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_503 ),
inference(forward_demodulation,[],[f44781,f47]) ).
tff(f44781,plain,
( $less($uminus($sum(sF5,sK1)),sF7)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_503 ),
inference(forward_demodulation,[],[f44780,f50]) ).
tff(f44780,plain,
( $less($sum($uminus(sK1),$uminus(sF5)),sF7)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_503 ),
inference(forward_demodulation,[],[f44633,f47]) ).
tff(f44633,plain,
( $less($sum($uminus(sF5),$uminus(sK1)),sF7)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_503 ),
inference(resolution,[],[f41880,f37442]) ).
tff(f37442,plain,
( ! [X2: $int] :
( ~ $less(X2,$uminus(sK1))
| $less(X2,sF7) )
| ~ spl11_503 ),
inference(resolution,[],[f37430,f53]) ).
tff(f37430,plain,
( $less($uminus(sK1),sF7)
| ~ spl11_503 ),
inference(avatar_component_clause,[],[f37429]) ).
tff(f46190,plain,
( spl11_585
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_125
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f44779,f9363,f2375,f982,f264,f243,f191,f46188]) ).
tff(f46188,plain,
( spl11_585
<=> $less($sum(sK1,$uminus(sF5)),sF6) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_585])]) ).
tff(f2375,plain,
( spl11_125
<=> $less(sK1,sF6) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_125])]) ).
tff(f44779,plain,
( $less($sum(sK1,$uminus(sF5)),sF6)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_125
| ~ spl11_263 ),
inference(forward_demodulation,[],[f44722,f47]) ).
tff(f44722,plain,
( $less($sum($uminus(sF5),sK1),sF6)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_125
| ~ spl11_263 ),
inference(resolution,[],[f41880,f2483]) ).
tff(f2483,plain,
( ! [X0: $int] :
( ~ $less(X0,sK1)
| $less(X0,sF6) )
| ~ spl11_125 ),
inference(resolution,[],[f2376,f53]) ).
tff(f2376,plain,
( $less(sK1,sF6)
| ~ spl11_125 ),
inference(avatar_component_clause,[],[f2375]) ).
tff(f45770,plain,
( spl11_584
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_259
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f43001,f9363,f8938,f982,f264,f191,f45768]) ).
tff(f43001,plain,
( $less($uminus($sum(sK1,sF4)),sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_259
| ~ spl11_263 ),
inference(forward_demodulation,[],[f43000,f47]) ).
tff(f43000,plain,
( $less($uminus($sum(sF4,sK1)),sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_259
| ~ spl11_263 ),
inference(forward_demodulation,[],[f42896,f50]) ).
tff(f42896,plain,
( $less($sum($uminus(sK1),$uminus(sF4)),sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_259
| ~ spl11_263 ),
inference(resolution,[],[f41366,f8939]) ).
tff(f45766,plain,
( spl11_541
| ~ spl11_579
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f41152,f982,f264,f191,f45411,f41450]) ).
tff(f41450,plain,
( spl11_541
<=> ! [X0: $int] : $less($sum(X0,$uminus($sum(sF10,X0))),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_541])]) ).
tff(f41152,plain,
( ! [X3: $int] :
( ~ $less(div1(0,sK1),0)
| $less($sum(X3,$uminus($sum(sF10,X3))),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(evaluation,[],[f41151]) ).
tff(f41151,plain,
( ! [X3: $int] :
( $less($sum(X3,$uminus($sum(sF10,X3))),0)
| ~ $less(div1(0,sK1),0)
| $less(0,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f40976,f452]) ).
tff(f40976,plain,
( ! [X3: $int] :
( $less($sum(sF10,$sum(X3,$uminus($sum(sF10,X3)))),0)
| $less($sum(X3,$uminus($sum(sF10,X3))),0)
| ~ $less(div1(0,sK1),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(duplicate_literal_removal,[],[f40918]) ).
tff(f40918,plain,
( ! [X3: $int] :
( $less($sum(X3,$uminus($sum(sF10,X3))),0)
| $less($sum(sF10,$sum(X3,$uminus($sum(sF10,X3)))),0)
| ~ $less(div1(0,sK1),0)
| $less($sum(X3,$uminus($sum(sF10,X3))),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1155,f40229]) ).
tff(f40229,plain,
( ! [X206: $int] :
( ( div1(0,sK1) = $sum(sK1,div1($sum(X206,$uminus($sum(sF10,X206))),sK1)) )
| $less($sum(X206,$uminus($sum(sF10,X206))),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1119,f452]) ).
tff(f1155,plain,
( ! [X3: $int] :
( ~ $less($sum(sK1,div1(X3,sK1)),0)
| $less($sum(sF10,X3),0)
| $less(X3,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(subsumption_resolution,[],[f1149,f192]) ).
tff(f1149,plain,
( ! [X3: $int] :
( ~ $less(0,sK1)
| $less(X3,0)
| ~ $less($sum(sK1,div1(X3,sK1)),0)
| $less($sum(sF10,X3),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f144,f1119]) ).
tff(f45765,plain,
( spl11_583
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f42982,f9363,f982,f264,f191,f45763]) ).
tff(f42982,plain,
( $less($sum(-1,$uminus(sK1)),sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(forward_demodulation,[],[f42915,f47]) ).
tff(f42915,plain,
( $less($sum($uminus(sK1),-1),sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(resolution,[],[f41366,f38831]) ).
tff(f45753,plain,
( spl11_582
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_261
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f42976,f9363,f8945,f982,f264,f191,f45751]) ).
tff(f42976,plain,
( $less($uminus($sum(sK1,sF10)),sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_261
| ~ spl11_263 ),
inference(forward_demodulation,[],[f42975,f47]) ).
tff(f42975,plain,
( $less($uminus($sum(sF10,sK1)),sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_261
| ~ spl11_263 ),
inference(forward_demodulation,[],[f42904,f50]) ).
tff(f42904,plain,
( $less($sum($uminus(sK1),$uminus(sF10)),sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_261
| ~ spl11_263 ),
inference(resolution,[],[f41366,f8946]) ).
tff(f45749,plain,
( spl11_581
| ~ spl11_2
| ~ spl11_12
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f42964,f9363,f982,f264,f235,f191,f45747]) ).
tff(f42964,plain,
( $less($sum(sK2,$uminus(sK1)),sF3)
| ~ spl11_2
| ~ spl11_12
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(forward_demodulation,[],[f42914,f47]) ).
tff(f42914,plain,
( $less($sum($uminus(sK1),sK2),sF3)
| ~ spl11_2
| ~ spl11_12
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(resolution,[],[f41366,f333]) ).
tff(f45575,plain,
( spl11_580
| ~ spl11_293
| ~ spl11_530 ),
inference(avatar_split_clause,[],[f39985,f39967,f13385,f45573]) ).
tff(f45573,plain,
( spl11_580
<=> $less($uminus(abs1(sK1)),sF5) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_580])]) ).
tff(f39967,plain,
( spl11_530
<=> $less($uminus(abs1(sK1)),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_530])]) ).
tff(f39985,plain,
( $less($uminus(abs1(sK1)),sF5)
| ~ spl11_293
| ~ spl11_530 ),
inference(resolution,[],[f39968,f14155]) ).
tff(f14155,plain,
( ! [X1: $int] :
( ~ $less(X1,0)
| $less(X1,sF5) )
| ~ spl11_293 ),
inference(resolution,[],[f14150,f53]) ).
tff(f39968,plain,
( $less($uminus(abs1(sK1)),0)
| ~ spl11_530 ),
inference(avatar_component_clause,[],[f39967]) ).
tff(f45413,plain,
( ~ spl11_579
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_68
| ~ spl11_263
| ~ spl11_265
| ~ spl11_449 ),
inference(avatar_split_clause,[],[f45348,f29004,f9569,f9363,f1173,f982,f264,f191,f45411]) ).
tff(f9569,plain,
( spl11_265
<=> ( sK1 = $sum(sK1,div1(0,sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_265])]) ).
tff(f45348,plain,
( ~ $less(div1(0,sK1),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_68
| ~ spl11_263
| ~ spl11_265
| ~ spl11_449 ),
inference(subsumption_resolution,[],[f45320,f52]) ).
tff(f45320,plain,
( ~ $less(div1(0,sK1),0)
| $less(sK1,sK1)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_68
| ~ spl11_263
| ~ spl11_265
| ~ spl11_449 ),
inference(superposition,[],[f42493,f9570]) ).
tff(f9570,plain,
( ( sK1 = $sum(sK1,div1(0,sK1)) )
| ~ spl11_265 ),
inference(avatar_component_clause,[],[f9569]) ).
tff(f45353,plain,
( ~ spl11_578
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_68
| ~ spl11_263
| ~ spl11_266
| spl11_300
| ~ spl11_449 ),
inference(avatar_split_clause,[],[f45347,f29004,f13680,f9573,f9363,f1173,f982,f264,f191,f45351]) ).
tff(f45351,plain,
( spl11_578
<=> $less(div1(sK1,sK1),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_578])]) ).
tff(f9573,plain,
( spl11_266
<=> ( $sum(sK1,div1(sK1,sK1)) = sF5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_266])]) ).
tff(f13680,plain,
( spl11_300
<=> $less(sF5,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_300])]) ).
tff(f45347,plain,
( ~ $less(div1(sK1,sK1),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_68
| ~ spl11_263
| ~ spl11_266
| spl11_300
| ~ spl11_449 ),
inference(subsumption_resolution,[],[f45327,f30287]) ).
tff(f30287,plain,
( ~ $less(sF5,sK1)
| spl11_300 ),
inference(avatar_component_clause,[],[f13680]) ).
tff(f45327,plain,
( ~ $less(div1(sK1,sK1),0)
| $less(sF5,sK1)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_68
| ~ spl11_263
| ~ spl11_266
| ~ spl11_449 ),
inference(superposition,[],[f42493,f9574]) ).
tff(f9574,plain,
( ( $sum(sK1,div1(sK1,sK1)) = sF5 )
| ~ spl11_266 ),
inference(avatar_component_clause,[],[f9573]) ).
tff(f45296,plain,
( ~ spl11_577
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_449 ),
inference(avatar_split_clause,[],[f42459,f29004,f9363,f982,f264,f191,f45294]) ).
tff(f45294,plain,
( spl11_577
<=> $less($sum(sK1,sF10),$uminus(sF10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_577])]) ).
tff(f42459,plain,
( ~ $less($sum(sK1,sF10),$uminus(sF10))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_449 ),
inference(superposition,[],[f41330,f29005]) ).
tff(f41330,plain,
( ! [X3: $int] : ~ $less($sum(sK1,abs1(X3)),X3)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(resolution,[],[f41220,f149]) ).
tff(f45292,plain,
( ~ spl11_291
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_294 ),
inference(avatar_split_clause,[],[f45254,f13388,f9363,f982,f264,f191,f13372]) ).
tff(f13372,plain,
( spl11_291
<=> $less($sum(sK1,sF10),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_291])]) ).
tff(f13388,plain,
( spl11_294
<=> $less(0,$sum(sK1,sF10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_294])]) ).
tff(f45254,plain,
( ~ $less($sum(sK1,sF10),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_294 ),
inference(forward_demodulation,[],[f45253,f47]) ).
tff(f45253,plain,
( ~ $less($sum(sF10,sK1),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_294 ),
inference(subsumption_resolution,[],[f45252,f13389]) ).
tff(f13389,plain,
( $less(0,$sum(sK1,sF10))
| ~ spl11_294 ),
inference(avatar_component_clause,[],[f13388]) ).
tff(f45252,plain,
( ~ $less($sum(sF10,sK1),0)
| ~ $less(0,$sum(sK1,sF10))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(forward_demodulation,[],[f45216,f47]) ).
tff(f45216,plain,
( ~ $less(0,$sum(sF10,sK1))
| ~ $less($sum(sF10,sK1),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(resolution,[],[f42437,f29124]) ).
tff(f29124,plain,
( ! [X2: $int] :
( $less(abs1(X2),sF10)
| ~ $less(X2,0)
| ~ $less(0,X2) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f29071,f127]) ).
tff(f29071,plain,
( ! [X5: $int] :
( $less($uminus(X5),sF10)
| ~ $less(0,X5) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f29017,f274]) ).
tff(f42437,plain,
( ! [X0: $int] : ~ $less(abs1($sum(X0,sK1)),X0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(resolution,[],[f41330,f405]) ).
tff(f45290,plain,
( ~ spl11_576
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f45238,f9363,f982,f264,f191,f45288]) ).
tff(f45288,plain,
( spl11_576
<=> $less(abs1(0),$uminus(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_576])]) ).
tff(f45238,plain,
( ~ $less(abs1(0),$uminus(sK1))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(superposition,[],[f42437,f267]) ).
tff(f45283,plain,
( spl11_542
| spl11_541
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f41140,f982,f264,f191,f41450,f41453]) ).
tff(f41140,plain,
( ! [X3: $int] :
( $less($sum(X3,$uminus($sum(sF10,X3))),0)
| ( 0 = div1(0,sK1) ) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(subsumption_resolution,[],[f41139,f192]) ).
tff(f41139,plain,
( ! [X3: $int] :
( ~ $less(0,sK1)
| ( 0 = div1(0,sK1) )
| $less($sum(X3,$uminus($sum(sF10,X3))),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f41138,f452]) ).
tff(f41138,plain,
( ! [X3: $int] :
( $less($sum(X3,$uminus($sum(sF10,X3))),0)
| ( 0 = div1(0,sK1) )
| ~ $less($sum(sF10,$sum(X3,$uminus($sum(sF10,X3)))),sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(evaluation,[],[f41137]) ).
tff(f41137,plain,
( ! [X3: $int] :
( $less(0,0)
| ~ $less($sum(sF10,$sum(X3,$uminus($sum(sF10,X3)))),sK1)
| $less($sum(X3,$uminus($sum(sF10,X3))),0)
| ( 0 = div1(0,sK1) ) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f40979,f452]) ).
tff(f40979,plain,
( ! [X3: $int] :
( $less($sum(sF10,$sum(X3,$uminus($sum(sF10,X3)))),0)
| ( 0 = div1(0,sK1) )
| ~ $less($sum(sF10,$sum(X3,$uminus($sum(sF10,X3)))),sK1)
| $less($sum(X3,$uminus($sum(sF10,X3))),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(duplicate_literal_removal,[],[f40912]) ).
tff(f40912,plain,
( ! [X3: $int] :
( $less($sum(X3,$uminus($sum(sF10,X3))),0)
| ~ $less($sum(sF10,$sum(X3,$uminus($sum(sF10,X3)))),sK1)
| ( 0 = div1(0,sK1) )
| $less($sum(sF10,$sum(X3,$uminus($sum(sF10,X3)))),0)
| $less($sum(X3,$uminus($sum(sF10,X3))),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f40229,f1145]) ).
tff(f1145,plain,
( ! [X1: $int] :
( ( 0 = $sum(sK1,div1(X1,sK1)) )
| $less(X1,0)
| ~ $less($sum(sF10,X1),sK1)
| $less($sum(sF10,X1),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1119,f156]) ).
tff(f45282,plain,
( ~ spl11_575
| ~ spl11_2
| ~ spl11_19
| ~ spl11_20
| spl11_58
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f45243,f9363,f982,f301,f264,f191,f45280]) ).
tff(f45280,plain,
( spl11_575
<=> $less(abs1(sF5),1) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_575])]) ).
tff(f45243,plain,
( ~ $less(abs1(sF5),1)
| ~ spl11_2
| ~ spl11_19
| ~ spl11_20
| spl11_58
| ~ spl11_263 ),
inference(superposition,[],[f42437,f302]) ).
tff(f45174,plain,
( spl11_574
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_289 ),
inference(avatar_split_clause,[],[f44846,f13112,f9363,f982,f264,f243,f191,f45172]) ).
tff(f45172,plain,
( spl11_574
<=> $less(0,abs1($uminus(sF5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_574])]) ).
tff(f44846,plain,
( $less(0,abs1($uminus(sF5)))
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_289 ),
inference(subsumption_resolution,[],[f44763,f41314]) ).
tff(f44763,plain,
( $less(0,abs1($uminus(sF5)))
| ~ $less($uminus(sF5),0)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(superposition,[],[f41880,f347]) ).
tff(f45122,plain,
( spl11_532
| ~ spl11_164
| ~ spl11_560 ),
inference(avatar_split_clause,[],[f42308,f42087,f3764,f40002]) ).
tff(f40002,plain,
( spl11_532
<=> $less($uminus(abs1(sK1)),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_532])]) ).
tff(f42087,plain,
( spl11_560
<=> $less($uminus(abs1(sK1)),sF7) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_560])]) ).
tff(f42308,plain,
( $less($uminus(abs1(sK1)),sF10)
| ~ spl11_164
| ~ spl11_560 ),
inference(resolution,[],[f42088,f3950]) ).
tff(f42088,plain,
( $less($uminus(abs1(sK1)),sF7)
| ~ spl11_560 ),
inference(avatar_component_clause,[],[f42087]) ).
tff(f45121,plain,
( spl11_532
| ~ spl11_10
| ~ spl11_544 ),
inference(avatar_split_clause,[],[f42128,f41461,f224,f40002]) ).
tff(f41461,plain,
( spl11_544
<=> $less($uminus(abs1(sK1)),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_544])]) ).
tff(f42128,plain,
( $less($uminus(abs1(sK1)),sF10)
| ~ spl11_10
| ~ spl11_544 ),
inference(resolution,[],[f41462,f362]) ).
tff(f41462,plain,
( $less($uminus(abs1(sK1)),sK0)
| ~ spl11_544 ),
inference(avatar_component_clause,[],[f41461]) ).
tff(f44577,plain,
( spl11_573
| spl11_5
| ~ spl11_570 ),
inference(avatar_split_clause,[],[f44573,f44046,f203,f44575]) ).
tff(f44575,plain,
( spl11_573
<=> $less($uminus(sK0),sF4) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_573])]) ).
tff(f44046,plain,
( spl11_570
<=> $less($uminus(abs1(sK0)),sF4) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_570])]) ).
tff(f44573,plain,
( $less($uminus(sK0),sF4)
| spl11_5
| ~ spl11_570 ),
inference(subsumption_resolution,[],[f44568,f204]) ).
tff(f44568,plain,
( $less($uminus(sK0),sF4)
| $less(sK0,0)
| ~ spl11_570 ),
inference(superposition,[],[f44047,f126]) ).
tff(f44047,plain,
( $less($uminus(abs1(sK0)),sF4)
| ~ spl11_570 ),
inference(avatar_component_clause,[],[f44046]) ).
tff(f44562,plain,
( ~ spl11_567
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_458 ),
inference(avatar_split_clause,[],[f41551,f29881,f9363,f982,f264,f191,f42521]) ).
tff(f42521,plain,
( spl11_567
<=> $less($sum(sK1,abs1(sF3)),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_567])]) ).
tff(f41551,plain,
( ~ $less($sum(sK1,abs1(sF3)),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_458 ),
inference(forward_demodulation,[],[f41525,f47]) ).
tff(f41525,plain,
( ~ $less($sum(abs1(sF3),sK1),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_458 ),
inference(resolution,[],[f41324,f29888]) ).
tff(f41324,plain,
( ! [X0: $int] : ~ $less($sum(X0,sK1),X0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(resolution,[],[f41220,f405]) ).
tff(f44524,plain,
( ~ spl11_566
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_438 ),
inference(avatar_split_clause,[],[f41546,f28359,f9363,f982,f264,f191,f42517]) ).
tff(f42517,plain,
( spl11_566
<=> $less($sum(sK1,abs1(sK1)),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_566])]) ).
tff(f41546,plain,
( ~ $less($sum(sK1,abs1(sK1)),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_438 ),
inference(forward_demodulation,[],[f41524,f47]) ).
tff(f41524,plain,
( ~ $less($sum(abs1(sK1),sK1),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_438 ),
inference(resolution,[],[f41324,f28366]) ).
tff(f44523,plain,
( spl11_572
| spl11_5
| ~ spl11_568 ),
inference(avatar_split_clause,[],[f44519,f42883,f203,f44521]) ).
tff(f42883,plain,
( spl11_568
<=> $less($uminus(abs1(sK0)),sF6) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_568])]) ).
tff(f44519,plain,
( $less($uminus(sK0),sF6)
| spl11_5
| ~ spl11_568 ),
inference(subsumption_resolution,[],[f44514,f204]) ).
tff(f44514,plain,
( $less($uminus(sK0),sF6)
| $less(sK0,0)
| ~ spl11_568 ),
inference(superposition,[],[f42884,f126]) ).
tff(f42884,plain,
( $less($uminus(abs1(sK0)),sF6)
| ~ spl11_568 ),
inference(avatar_component_clause,[],[f42883]) ).
tff(f44292,plain,
( ~ spl11_539
| ~ spl11_2
| ~ spl11_17
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f41981,f9363,f982,f264,f255,f191,f41321]) ).
tff(f41981,plain,
( ~ $less(0,$sum(sF7,$uminus(sF8)))
| ~ spl11_2
| ~ spl11_17
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(forward_demodulation,[],[f41967,f378]) ).
tff(f378,plain,
! [X0: $int,X1: $int] : ( $sum(X0,$uminus(X1)) = $uminus($sum(X1,$uminus(X0))) ),
inference(superposition,[],[f50,f57]) ).
tff(f41967,plain,
( ~ $less(0,$uminus($sum(sF8,$uminus(sF7))))
| ~ spl11_2
| ~ spl11_17
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(superposition,[],[f41308,f450]) ).
tff(f450,plain,
( ! [X23: $int] : ( $sum(sF8,X23) = $sum(sF7,$sum(sK1,X23)) )
| ~ spl11_17 ),
inference(superposition,[],[f48,f256]) ).
tff(f41308,plain,
( ! [X3: $int] : ~ $less(0,$uminus($sum(X3,$sum(sK1,$uminus(X3)))))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(forward_demodulation,[],[f41263,f47]) ).
tff(f41263,plain,
( ! [X3: $int] : ~ $less(0,$uminus($sum($sum(sK1,$uminus(X3)),X3)))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(superposition,[],[f40600,f50]) ).
tff(f44280,plain,
( ~ spl11_538
| ~ spl11_2
| ~ spl11_19
| ~ spl11_20
| spl11_58
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f41393,f9363,f982,f301,f264,f191,f41317]) ).
tff(f41317,plain,
( spl11_538
<=> $less(0,$sum(1,$uminus(sF5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_538])]) ).
tff(f41393,plain,
( ~ $less(0,$sum(1,$uminus(sF5)))
| ~ spl11_2
| ~ spl11_19
| ~ spl11_20
| spl11_58
| ~ spl11_263 ),
inference(superposition,[],[f41249,f302]) ).
tff(f41249,plain,
( ! [X16: $int] : ~ $less(0,$sum(X16,$uminus($sum(X16,sK1))))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(superposition,[],[f40600,f47]) ).
tff(f44076,plain,
( spl11_571
| spl11_5
| spl11_6
| ~ spl11_10 ),
inference(avatar_split_clause,[],[f43360,f224,f207,f203,f44074]) ).
tff(f44074,plain,
( spl11_571
<=> $less($uminus(abs1(sK0)),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_571])]) ).
tff(f207,plain,
( spl11_6
<=> ( 0 = sK0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_6])]) ).
tff(f43360,plain,
( $less($uminus(abs1(sK0)),sF10)
| spl11_5
| spl11_6
| ~ spl11_10 ),
inference(subsumption_resolution,[],[f43332,f208]) ).
tff(f208,plain,
( ( 0 != sK0 )
| spl11_6 ),
inference(avatar_component_clause,[],[f207]) ).
tff(f43332,plain,
( ( 0 = sK0 )
| $less($uminus(abs1(sK0)),sF10)
| spl11_5
| spl11_6
| ~ spl11_10 ),
inference(resolution,[],[f42845,f161]) ).
tff(f42845,plain,
( ! [X6: $int,X5: $int] :
( ~ $less(X5,mod1(X6,sK0))
| $less(X5,sF10) )
| spl11_5
| spl11_6
| ~ spl11_10 ),
inference(resolution,[],[f42809,f53]) ).
tff(f42809,plain,
( ! [X185: $int] : $less(mod1(X185,sK0),sF10)
| spl11_5
| spl11_6
| ~ spl11_10 ),
inference(subsumption_resolution,[],[f42808,f208]) ).
tff(f42808,plain,
( ! [X185: $int] :
( ( 0 = sK0 )
| $less(mod1(X185,sK0),sF10) )
| spl11_5
| ~ spl11_10 ),
inference(subsumption_resolution,[],[f42657,f204]) ).
tff(f42657,plain,
( ! [X185: $int] :
( $less(sK0,0)
| $less(mod1(X185,sK0),sF10)
| ( 0 = sK0 ) )
| ~ spl11_10 ),
inference(resolution,[],[f376,f362]) ).
tff(f44048,plain,
( spl11_570
| spl11_5
| spl11_6
| ~ spl11_7 ),
inference(avatar_split_clause,[],[f43308,f211,f207,f203,f44046]) ).
tff(f43308,plain,
( $less($uminus(abs1(sK0)),sF4)
| spl11_5
| spl11_6
| ~ spl11_7 ),
inference(subsumption_resolution,[],[f43280,f208]) ).
tff(f43280,plain,
( ( 0 = sK0 )
| $less($uminus(abs1(sK0)),sF4)
| spl11_5
| spl11_6
| ~ spl11_7 ),
inference(resolution,[],[f42829,f161]) ).
tff(f42829,plain,
( ! [X6: $int,X5: $int] :
( ~ $less(X5,mod1(X6,sK0))
| $less(X5,sF4) )
| spl11_5
| spl11_6
| ~ spl11_7 ),
inference(resolution,[],[f42803,f53]) ).
tff(f42803,plain,
( ! [X184: $int] : $less(mod1(X184,sK0),sF4)
| spl11_5
| spl11_6
| ~ spl11_7 ),
inference(subsumption_resolution,[],[f42802,f204]) ).
tff(f42802,plain,
( ! [X184: $int] :
( $less(mod1(X184,sK0),sF4)
| $less(sK0,0) )
| spl11_6
| ~ spl11_7 ),
inference(subsumption_resolution,[],[f42656,f208]) ).
tff(f42656,plain,
( ! [X184: $int] :
( $less(mod1(X184,sK0),sF4)
| ( 0 = sK0 )
| $less(sK0,0) )
| ~ spl11_7 ),
inference(resolution,[],[f376,f360]) ).
tff(f43012,plain,
( spl11_569
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f42887,f9363,f982,f264,f191,f43010]) ).
tff(f43010,plain,
( spl11_569
<=> $less($uminus(sK1),1) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_569])]) ).
tff(f42887,plain,
( $less($uminus(sK1),1)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(resolution,[],[f41366,f56]) ).
tff(f42885,plain,
( spl11_568
| spl11_5
| spl11_6
| ~ spl11_8 ),
inference(avatar_split_clause,[],[f42881,f215,f207,f203,f42883]) ).
tff(f42881,plain,
( $less($uminus(abs1(sK0)),sF6)
| spl11_5
| spl11_6
| ~ spl11_8 ),
inference(subsumption_resolution,[],[f42853,f208]) ).
tff(f42853,plain,
( ( 0 = sK0 )
| $less($uminus(abs1(sK0)),sF6)
| spl11_5
| spl11_6
| ~ spl11_8 ),
inference(resolution,[],[f42823,f161]) ).
tff(f42823,plain,
( ! [X6: $int,X5: $int] :
( ~ $less(X5,mod1(X6,sK0))
| $less(X5,sF6) )
| spl11_5
| spl11_6
| ~ spl11_8 ),
inference(resolution,[],[f42790,f53]) ).
tff(f42790,plain,
( ! [X183: $int] : $less(mod1(X183,sK0),sF6)
| spl11_5
| spl11_6
| ~ spl11_8 ),
inference(subsumption_resolution,[],[f42789,f204]) ).
tff(f42789,plain,
( ! [X183: $int] :
( $less(mod1(X183,sK0),sF6)
| $less(sK0,0) )
| spl11_6
| ~ spl11_8 ),
inference(subsumption_resolution,[],[f42655,f208]) ).
tff(f42655,plain,
( ! [X183: $int] :
( ( 0 = sK0 )
| $less(sK0,0)
| $less(mod1(X183,sK0),sF6) )
| ~ spl11_8 ),
inference(resolution,[],[f376,f361]) ).
tff(f42523,plain,
( ~ spl11_567
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_458 ),
inference(avatar_split_clause,[],[f41336,f29881,f9363,f982,f264,f191,f42521]) ).
tff(f41336,plain,
( ~ $less($sum(sK1,abs1(sF3)),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_458 ),
inference(resolution,[],[f41220,f29888]) ).
tff(f42519,plain,
( ~ spl11_566
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_438 ),
inference(avatar_split_clause,[],[f41335,f28359,f9363,f982,f264,f191,f42517]) ).
tff(f41335,plain,
( ~ $less($sum(sK1,abs1(sK1)),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_438 ),
inference(resolution,[],[f41220,f28366]) ).
tff(f42515,plain,
( spl11_565
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f42438,f9363,f982,f264,f243,f191,f42513]) ).
tff(f42513,plain,
( spl11_565
<=> $less($uminus(abs1(sF5)),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_565])]) ).
tff(f42438,plain,
( $less($uminus(abs1(sF5)),sF10)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(resolution,[],[f41330,f34669]) ).
tff(f34669,plain,
( ! [X4: $int] :
( $less($sum(sK1,X4),sF5)
| $less($uminus(X4),sF10) )
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f31996,f57]) ).
tff(f31996,plain,
( ! [X51: $int] :
( $less($sum(sK1,$uminus(X51)),sF5)
| $less(X51,sF10) )
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f31932,f47]) ).
tff(f31932,plain,
( ! [X51: $int] :
( $less(X51,sF10)
| $less($sum($uminus(X51),sK1),sF5) )
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58 ),
inference(resolution,[],[f332,f29465]) ).
tff(f29465,plain,
( ! [X10: $int,X11: $int] :
( ~ $less(X11,$sum($uminus(X10),X11))
| $less(X10,sF10) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f29358,f465]) ).
tff(f42471,plain,
( ~ spl11_564
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f42440,f9363,f982,f264,f191,f42469]) ).
tff(f42440,plain,
( ~ $less(sK1,$uminus(abs1(sF10)))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(resolution,[],[f41330,f29067]) ).
tff(f29067,plain,
( ! [X8: $int,X7: $int] :
( $less($sum(X8,X7),sF10)
| ~ $less(X8,$uminus(X7)) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f29017,f57]) ).
tff(f42467,plain,
( ~ spl11_563
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f42439,f9363,f982,f264,f191,f42465]) ).
tff(f42465,plain,
( spl11_563
<=> $less(abs1(sF10),$uminus(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_563])]) ).
tff(f42439,plain,
( ~ $less(abs1(sF10),$uminus(sK1))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(resolution,[],[f41330,f29200]) ).
tff(f29200,plain,
( ! [X0: $int,X1: $int] :
( $less($sum(X1,X0),sF10)
| ~ $less(X0,$uminus(X1)) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f29067,f47]) ).
tff(f42463,plain,
( spl11_532
| ~ spl11_56
| ~ spl11_543 ),
inference(avatar_split_clause,[],[f42112,f41457,f973,f40002]) ).
tff(f41457,plain,
( spl11_543
<=> $less($uminus(abs1(sK1)),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_543])]) ).
tff(f42112,plain,
( $less($uminus(abs1(sK1)),sF10)
| ~ spl11_56
| ~ spl11_543 ),
inference(resolution,[],[f41458,f2385]) ).
tff(f41458,plain,
( $less($uminus(abs1(sK1)),sK1)
| ~ spl11_543 ),
inference(avatar_component_clause,[],[f41457]) ).
tff(f42391,plain,
( ~ spl11_559
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_89
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f42269,f9363,f1443,f982,f264,f243,f191,f42077]) ).
tff(f42077,plain,
( spl11_559
<=> $less($sum(sF5,sF10),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_559])]) ).
tff(f1443,plain,
( spl11_89
<=> ! [X0: $int] :
( ~ $less(sF10,X0)
| ~ $less(X0,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_89])]) ).
tff(f42269,plain,
( ~ $less($sum(sF5,sF10),0)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_89
| ~ spl11_263 ),
inference(forward_demodulation,[],[f42246,f47]) ).
tff(f42246,plain,
( ~ $less($sum(sF10,sF5),0)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_89
| ~ spl11_263 ),
inference(resolution,[],[f41874,f1444]) ).
tff(f1444,plain,
( ! [X0: $int] :
( ~ $less(sF10,X0)
| ~ $less(X0,0) )
| ~ spl11_89 ),
inference(avatar_component_clause,[],[f1443]) ).
tff(f41874,plain,
( ! [X0: $int] : $less(X0,$sum(X0,sF5))
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(superposition,[],[f41370,f47]) ).
tff(f42390,plain,
( ~ spl11_562
| ~ spl11_2
| ~ spl11_12
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f42244,f9363,f982,f264,f243,f235,f191,f42387]) ).
tff(f42387,plain,
( spl11_562
<=> $less($sum(sK2,sF5),sF3) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_562])]) ).
tff(f42244,plain,
( ~ $less($sum(sK2,sF5),sF3)
| ~ spl11_2
| ~ spl11_12
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(resolution,[],[f41874,f343]) ).
tff(f343,plain,
( ! [X7: $int] :
( ~ $less(sK2,X7)
| ~ $less(X7,sF3) )
| ~ spl11_12 ),
inference(superposition,[],[f64,f236]) ).
tff(f42389,plain,
( ~ spl11_562
| ~ spl11_2
| ~ spl11_12
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f41891,f9363,f982,f264,f243,f235,f191,f42387]) ).
tff(f41891,plain,
( ~ $less($sum(sK2,sF5),sF3)
| ~ spl11_2
| ~ spl11_12
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(forward_demodulation,[],[f41871,f47]) ).
tff(f41871,plain,
( ~ $less($sum(sF5,sK2),sF3)
| ~ spl11_2
| ~ spl11_12
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(resolution,[],[f41370,f343]) ).
tff(f42291,plain,
( spl11_532
| spl11_561
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_543 ),
inference(avatar_split_clause,[],[f42107,f41457,f982,f264,f191,f42289,f40002]) ).
tff(f42289,plain,
( spl11_561
<=> ( 0 = abs1(sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_561])]) ).
tff(f42107,plain,
( ( 0 = abs1(sK1) )
| $less($uminus(abs1(sK1)),sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_543 ),
inference(resolution,[],[f41458,f3927]) ).
tff(f3927,plain,
( ! [X2: $int] :
( ~ $less($uminus(abs1(X2)),X2)
| $less($uminus(abs1(X2)),sF10)
| ( 0 = abs1(X2) ) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(resolution,[],[f3902,f149]) ).
tff(f3902,plain,
( ! [X0: $int] :
( ~ $less($uminus(X0),X0)
| $less($uminus(X0),sF10)
| ( 0 = X0 ) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(factoring,[],[f3786]) ).
tff(f3786,plain,
( ! [X3: $int,X4: $int] :
( $less($uminus(X4),sF10)
| ( 0 = X4 )
| ~ $less(X3,X4)
| $less(X3,sF10) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(resolution,[],[f3781,f1404]) ).
tff(f3781,plain,
( ! [X0: $int,X1: $int] :
( $less($uminus(X0),0)
| $less(X1,sF10)
| ~ $less(X1,X0)
| ( 0 = X0 ) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f2484,f57]) ).
tff(f2484,plain,
( ! [X0: $int,X1: $int] :
( ~ $less(X1,$uminus(X0))
| $less(X0,0)
| ( 0 = $uminus(X0) )
| $less(X1,sF10) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(resolution,[],[f2142,f53]) ).
tff(f2142,plain,
( ! [X0: $int] :
( $less($uminus(X0),sF10)
| ( 0 = $uminus(X0) )
| $less(X0,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1888,f57]) ).
tff(f1888,plain,
( ! [X0: $int] :
( $less($uminus(X0),0)
| ( 0 = X0 )
| $less(X0,sF10) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(evaluation,[],[f1886]) ).
tff(f1886,plain,
( ! [X0: $int] :
( ( 0 = X0 )
| $less(X0,sF10)
| $less($uminus(X0),0)
| $less(0,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1873,f126]) ).
tff(f1873,plain,
( ! [X0: $int] :
( $less($uminus(X0),abs1(0))
| $less(X0,sF10)
| ( 0 = X0 ) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1470,f57]) ).
tff(f1470,plain,
( ! [X8: $int] :
( $less($uminus(X8),sF10)
| ( 0 = $uminus(X8) )
| $less(X8,abs1(0)) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(resolution,[],[f1426,f148]) ).
tff(f148,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,$uminus(X0))
| $less(X0,abs1(X1)) ),
inference(cnf_transformation,[],[f83]) ).
tff(f1426,plain,
( ! [X0: $int] :
( $less(0,X0)
| ( 0 = X0 )
| $less(X0,sF10) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(resolution,[],[f1404,f54]) ).
tff(f42089,plain,
( spl11_560
| ~ spl11_179
| ~ spl11_530 ),
inference(avatar_split_clause,[],[f39981,f39967,f4358,f42087]) ).
tff(f39981,plain,
( $less($uminus(abs1(sK1)),sF7)
| ~ spl11_179
| ~ spl11_530 ),
inference(resolution,[],[f39968,f4486]) ).
tff(f42079,plain,
( ~ spl11_559
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_89
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f41873,f9363,f1443,f982,f264,f243,f191,f42077]) ).
tff(f41873,plain,
( ~ $less($sum(sF5,sF10),0)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_89
| ~ spl11_263 ),
inference(resolution,[],[f41370,f1444]) ).
tff(f42075,plain,
( spl11_541
| ~ spl11_534
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f41113,f982,f264,f191,f40609,f41450]) ).
tff(f41113,plain,
( ! [X1: $int] :
( ~ $less(0,div1(0,sK1))
| $less($sum(X1,$uminus($sum(sF10,X1))),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f41112,f452]) ).
tff(f41112,plain,
( ! [X1: $int] :
( $less($sum(X1,$uminus($sum(sF10,X1))),0)
| ~ $less($sum(sF10,$sum(X1,$uminus($sum(sF10,X1)))),div1(0,sK1)) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(evaluation,[],[f41111]) ).
tff(f41111,plain,
( ! [X1: $int] :
( $less(0,0)
| ~ $less($sum(sF10,$sum(X1,$uminus($sum(sF10,X1)))),div1(0,sK1))
| $less($sum(X1,$uminus($sum(sF10,X1))),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f40987,f452]) ).
tff(f40987,plain,
( ! [X1: $int] :
( $less($sum(sF10,$sum(X1,$uminus($sum(sF10,X1)))),0)
| ~ $less($sum(sF10,$sum(X1,$uminus($sum(sF10,X1)))),div1(0,sK1))
| $less($sum(X1,$uminus($sum(sF10,X1))),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(duplicate_literal_removal,[],[f40916]) ).
tff(f40916,plain,
( ! [X1: $int] :
( $less($sum(X1,$uminus($sum(sF10,X1))),0)
| $less($sum(X1,$uminus($sum(sF10,X1))),0)
| $less($sum(sF10,$sum(X1,$uminus($sum(sF10,X1)))),0)
| ~ $less($sum(sF10,$sum(X1,$uminus($sum(sF10,X1)))),div1(0,sK1)) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1153,f40229]) ).
tff(f1153,plain,
( ! [X4: $int] :
( ~ $less($sum(sF10,X4),$sum(sK1,div1(X4,sK1)))
| $less(X4,0)
| $less($sum(sF10,X4),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(subsumption_resolution,[],[f1150,f192]) ).
tff(f1150,plain,
( ! [X4: $int] :
( $less($sum(sF10,X4),0)
| ~ $less($sum(sF10,X4),$sum(sK1,div1(X4,sK1)))
| ~ $less(0,sK1)
| $less(X4,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f143,f1119]) ).
tff(f143,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,div1(X1,X0))
| ~ $less(0,X0)
| $less(X1,0) ),
inference(cnf_transformation,[],[f93]) ).
tff(f42074,plain,
( spl11_558
| ~ spl11_47
| ~ spl11_530 ),
inference(avatar_split_clause,[],[f39977,f39967,f856,f42072]) ).
tff(f42072,plain,
( spl11_558
<=> $less($uminus(abs1(sK1)),sF3) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_558])]) ).
tff(f39977,plain,
( $less($uminus(abs1(sK1)),sF3)
| ~ spl11_47
| ~ spl11_530 ),
inference(resolution,[],[f39968,f861]) ).
tff(f42041,plain,
( spl11_557
| ~ spl11_28
| ~ spl11_530 ),
inference(avatar_split_clause,[],[f39976,f39967,f518,f42039]) ).
tff(f42039,plain,
( spl11_557
<=> $less($uminus(abs1(sK1)),sF8) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_557])]) ).
tff(f39976,plain,
( $less($uminus(abs1(sK1)),sF8)
| ~ spl11_28
| ~ spl11_530 ),
inference(resolution,[],[f39968,f548]) ).
tff(f41850,plain,
( spl11_556
| ~ spl11_26
| ~ spl11_530 ),
inference(avatar_split_clause,[],[f39975,f39967,f480,f41848]) ).
tff(f41848,plain,
( spl11_556
<=> $less($uminus(abs1(sK1)),sF6) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_556])]) ).
tff(f39975,plain,
( $less($uminus(abs1(sK1)),sF6)
| ~ spl11_26
| ~ spl11_530 ),
inference(resolution,[],[f39968,f506]) ).
tff(f41843,plain,
( ~ spl11_555
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_265 ),
inference(avatar_split_clause,[],[f41295,f9569,f9363,f982,f264,f191,f41841]) ).
tff(f41841,plain,
( spl11_555
<=> $less(0,$sum($uminus(sK1),div1(0,sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_555])]) ).
tff(f41295,plain,
( ~ $less(0,$sum($uminus(sK1),div1(0,sK1)))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_265 ),
inference(forward_demodulation,[],[f41234,f47]) ).
tff(f41234,plain,
( ~ $less(0,$sum(div1(0,sK1),$uminus(sK1)))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_265 ),
inference(superposition,[],[f40600,f9570]) ).
tff(f41839,plain,
( spl11_554
| ~ spl11_24
| ~ spl11_530 ),
inference(avatar_split_clause,[],[f39974,f39967,f467,f41837]) ).
tff(f41837,plain,
( spl11_554
<=> $less($uminus(abs1(sK1)),sF4) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_554])]) ).
tff(f39974,plain,
( $less($uminus(abs1(sK1)),sF4)
| ~ spl11_24
| ~ spl11_530 ),
inference(resolution,[],[f39968,f474]) ).
tff(f41835,plain,
( spl11_553
| ~ spl11_26
| ~ spl11_289 ),
inference(avatar_split_clause,[],[f41469,f13112,f480,f41833]) ).
tff(f41833,plain,
( spl11_553
<=> $less($uminus(sF5),sF6) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_553])]) ).
tff(f41469,plain,
( $less($uminus(sF5),sF6)
| ~ spl11_26
| ~ spl11_289 ),
inference(resolution,[],[f41314,f506]) ).
tff(f41831,plain,
( ~ spl11_552
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_266 ),
inference(avatar_split_clause,[],[f41352,f9573,f9363,f982,f264,f191,f41829]) ).
tff(f41829,plain,
( spl11_552
<=> $less(sF5,div1(sK1,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_552])]) ).
tff(f41352,plain,
( ~ $less(sF5,div1(sK1,sK1))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_266 ),
inference(superposition,[],[f41220,f9574]) ).
tff(f41827,plain,
( ~ spl11_551
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_265 ),
inference(avatar_split_clause,[],[f41345,f9569,f9363,f982,f264,f191,f41825]) ).
tff(f41825,plain,
( spl11_551
<=> $less(sK1,div1(0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_551])]) ).
tff(f41345,plain,
( ~ $less(sK1,div1(0,sK1))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_265 ),
inference(superposition,[],[f41220,f9570]) ).
tff(f41823,plain,
( spl11_550
| ~ spl11_24
| ~ spl11_289 ),
inference(avatar_split_clause,[],[f41468,f13112,f467,f41821]) ).
tff(f41821,plain,
( spl11_550
<=> $less($uminus(sF5),sF4) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_550])]) ).
tff(f41468,plain,
( $less($uminus(sF5),sF4)
| ~ spl11_24
| ~ spl11_289 ),
inference(resolution,[],[f41314,f474]) ).
tff(f41819,plain,
( spl11_549
| ~ spl11_23
| ~ spl11_289 ),
inference(avatar_split_clause,[],[f41467,f13112,f397,f41817]) ).
tff(f41817,plain,
( spl11_549
<=> $less($uminus(sF5),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_549])]) ).
tff(f41467,plain,
( $less($uminus(sF5),sK0)
| ~ spl11_23
| ~ spl11_289 ),
inference(resolution,[],[f41314,f431]) ).
tff(f41815,plain,
( spl11_548
| ~ spl11_2
| ~ spl11_289 ),
inference(avatar_split_clause,[],[f41466,f13112,f191,f41813]) ).
tff(f41813,plain,
( spl11_548
<=> $less($uminus(sF5),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_548])]) ).
tff(f41466,plain,
( $less($uminus(sF5),sK1)
| ~ spl11_2
| ~ spl11_289 ),
inference(resolution,[],[f41314,f358]) ).
tff(f41811,plain,
( ~ spl11_545
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f41516,f9363,f982,f264,f191,f41489]) ).
tff(f41489,plain,
( spl11_545
<=> $less(sF10,$uminus(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_545])]) ).
tff(f41516,plain,
( ~ $less(sF10,$uminus(sK1))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(resolution,[],[f41324,f29067]) ).
tff(f41500,plain,
( ~ spl11_153
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f41327,f9363,f982,f264,f191,f3442]) ).
tff(f3442,plain,
( spl11_153
<=> $less(sK1,$uminus(sF10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_153])]) ).
tff(f41327,plain,
( ~ $less(sK1,$uminus(sF10))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(resolution,[],[f41220,f29067]) ).
tff(f41499,plain,
( ~ spl11_547
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_266 ),
inference(avatar_split_clause,[],[f41280,f9573,f9363,f982,f264,f191,f41497]) ).
tff(f41497,plain,
( spl11_547
<=> $less(0,$sum($uminus(sF5),div1(sK1,sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_547])]) ).
tff(f41280,plain,
( ~ $less(0,$sum($uminus(sF5),div1(sK1,sK1)))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_266 ),
inference(forward_demodulation,[],[f41241,f47]) ).
tff(f41241,plain,
( ~ $less(0,$sum(div1(sK1,sK1),$uminus(sF5)))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_266 ),
inference(superposition,[],[f40600,f9574]) ).
tff(f41495,plain,
( spl11_546
| ~ spl11_1
| ~ spl11_289 ),
inference(avatar_split_clause,[],[f41465,f13112,f187,f41493]) ).
tff(f41493,plain,
( spl11_546
<=> $less($uminus(sF5),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_546])]) ).
tff(f41465,plain,
( $less($uminus(sF5),sK2)
| ~ spl11_1
| ~ spl11_289 ),
inference(resolution,[],[f41314,f357]) ).
tff(f41491,plain,
( ~ spl11_545
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f41326,f9363,f982,f264,f191,f41489]) ).
tff(f41326,plain,
( ~ $less(sF10,$uminus(sK1))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(resolution,[],[f41220,f29200]) ).
tff(f41487,plain,
( ~ spl11_539
| ~ spl11_2
| ~ spl11_17
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f41395,f9363,f982,f264,f255,f191,f41321]) ).
tff(f41395,plain,
( ~ $less(0,$sum(sF7,$uminus(sF8)))
| ~ spl11_2
| ~ spl11_17
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(superposition,[],[f41249,f256]) ).
tff(f41463,plain,
( spl11_544
| ~ spl11_23
| ~ spl11_530 ),
inference(avatar_split_clause,[],[f39973,f39967,f397,f41461]) ).
tff(f39973,plain,
( $less($uminus(abs1(sK1)),sK0)
| ~ spl11_23
| ~ spl11_530 ),
inference(resolution,[],[f39968,f431]) ).
tff(f41459,plain,
( spl11_543
| ~ spl11_2
| ~ spl11_530 ),
inference(avatar_split_clause,[],[f39972,f39967,f191,f41457]) ).
tff(f39972,plain,
( $less($uminus(abs1(sK1)),sK1)
| ~ spl11_2
| ~ spl11_530 ),
inference(resolution,[],[f39968,f358]) ).
tff(f41455,plain,
( spl11_541
| spl11_542
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f41011,f982,f264,f191,f41453,f41450]) ).
tff(f41011,plain,
( ! [X0: $int] :
( ( 0 = div1(0,sK1) )
| $less($sum(X0,$uminus($sum(sF10,X0))),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(subsumption_resolution,[],[f41010,f192]) ).
tff(f41010,plain,
( ! [X0: $int] :
( ~ $less(0,sK1)
| $less($sum(X0,$uminus($sum(sF10,X0))),0)
| ( 0 = div1(0,sK1) ) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f41009,f452]) ).
tff(f41009,plain,
( ! [X0: $int] :
( ~ $less($sum(sF10,$sum(X0,$uminus($sum(sF10,X0)))),sK1)
| ( 0 = div1(0,sK1) )
| $less($sum(X0,$uminus($sum(sF10,X0))),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(evaluation,[],[f41008]) ).
tff(f41008,plain,
( ! [X0: $int] :
( ~ $less($sum(sF10,$sum(X0,$uminus($sum(sF10,X0)))),sK1)
| ( 0 = div1(0,sK1) )
| $less($sum(X0,$uminus($sum(sF10,X0))),0)
| $less(0,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f41006,f452]) ).
tff(f41006,plain,
( ! [X0: $int] :
( $less($sum(sF10,$sum(X0,$uminus($sum(sF10,X0)))),0)
| ~ $less($sum(sF10,$sum(X0,$uminus($sum(sF10,X0)))),sK1)
| $less($sum(X0,$uminus($sum(sF10,X0))),0)
| ( 0 = div1(0,sK1) ) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(duplicate_literal_removal,[],[f40915]) ).
tff(f40915,plain,
( ! [X0: $int] :
( $less($sum(X0,$uminus($sum(sF10,X0))),0)
| ( 0 = div1(0,sK1) )
| ~ $less($sum(sF10,$sum(X0,$uminus($sum(sF10,X0)))),sK1)
| $less($sum(X0,$uminus($sum(sF10,X0))),0)
| $less($sum(sF10,$sum(X0,$uminus($sum(sF10,X0)))),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1145,f40229]) ).
tff(f41374,plain,
( ~ spl11_540
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f41358,f9363,f982,f264,f243,f191,f41372]) ).
tff(f41372,plain,
( spl11_540
<=> $less(sF5,1) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_540])]) ).
tff(f41358,plain,
( ~ $less(sF5,1)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(superposition,[],[f41220,f244]) ).
tff(f41323,plain,
( ~ spl11_539
| ~ spl11_2
| ~ spl11_19
| ~ spl11_22
| spl11_58
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f41248,f9363,f982,f309,f264,f191,f41321]) ).
tff(f41248,plain,
( ~ $less(0,$sum(sF7,$uminus(sF8)))
| ~ spl11_2
| ~ spl11_19
| ~ spl11_22
| spl11_58
| ~ spl11_263 ),
inference(superposition,[],[f40600,f310]) ).
tff(f41319,plain,
( ~ spl11_538
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f41247,f9363,f982,f264,f243,f191,f41317]) ).
tff(f41247,plain,
( ~ $less(0,$sum(1,$uminus(sF5)))
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(superposition,[],[f40600,f244]) ).
tff(f41315,plain,
( spl11_289
| ~ spl11_2
| ~ spl11_19
| ~ spl11_20
| spl11_58
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f41313,f9363,f982,f301,f264,f191,f13112]) ).
tff(f41313,plain,
( $less($uminus(sF5),0)
| ~ spl11_2
| ~ spl11_19
| ~ spl11_20
| spl11_58
| ~ spl11_263 ),
inference(forward_demodulation,[],[f41312,f302]) ).
tff(f41312,plain,
( $less($uminus($sum(1,sK1)),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(forward_demodulation,[],[f41228,f47]) ).
tff(f41228,plain,
( $less($uminus($sum(sK1,1)),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(resolution,[],[f40600,f328]) ).
tff(f41211,plain,
( spl11_537
| ~ spl11_1
| ~ spl11_530 ),
inference(avatar_split_clause,[],[f39971,f39967,f187,f41209]) ).
tff(f41209,plain,
( spl11_537
<=> $less($uminus(abs1(sK1)),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_537])]) ).
tff(f39971,plain,
( $less($uminus(abs1(sK1)),sK2)
| ~ spl11_1
| ~ spl11_530 ),
inference(resolution,[],[f39968,f357]) ).
tff(f41191,plain,
( ~ spl11_534
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_265
| ~ spl11_464 ),
inference(avatar_split_clause,[],[f40881,f30448,f9569,f9363,f982,f264,f243,f191,f40609]) ).
tff(f40881,plain,
( ~ $less(0,div1(0,sK1))
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_265
| ~ spl11_464 ),
inference(subsumption_resolution,[],[f40849,f30449]) ).
tff(f40849,plain,
( ~ $less(sK1,sF5)
| ~ $less(0,div1(0,sK1))
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_265 ),
inference(superposition,[],[f40541,f9570]) ).
tff(f40541,plain,
( ! [X0: $int] :
( ~ $less($sum(sK1,X0),sF5)
| ~ $less(0,X0) )
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(superposition,[],[f39859,f47]) ).
tff(f39859,plain,
( ! [X0: $int] :
( ~ $less($sum(X0,sK1),sF5)
| ~ $less(0,X0) )
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(resolution,[],[f39541,f342]) ).
tff(f40739,plain,
( spl11_536
| ~ spl11_2
| ~ spl11_531 ),
inference(avatar_split_clause,[],[f40711,f39998,f191,f40737]) ).
tff(f40711,plain,
( $less($uminus(sK1),sK1)
| ~ spl11_2
| ~ spl11_531 ),
inference(resolution,[],[f39999,f358]) ).
tff(f40735,plain,
( spl11_53
| ~ spl11_535
| ~ spl11_16 ),
inference(avatar_split_clause,[],[f661,f251,f40733,f951]) ).
tff(f251,plain,
( spl11_16
<=> ( sF7 = div1(sK0,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_16])]) ).
tff(f661,plain,
( ~ $less(abs1(sK0),abs1($product(sK1,sF7)))
| ( 0 = sK1 )
| ~ spl11_16 ),
inference(superposition,[],[f653,f252]) ).
tff(f252,plain,
( ( sF7 = div1(sK0,sK1) )
| ~ spl11_16 ),
inference(avatar_component_clause,[],[f251]) ).
tff(f40611,plain,
( ~ spl11_534
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_265 ),
inference(avatar_split_clause,[],[f40598,f9569,f9363,f982,f264,f191,f40609]) ).
tff(f40598,plain,
( ~ $less(0,div1(0,sK1))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_265 ),
inference(subsumption_resolution,[],[f40571,f52]) ).
tff(f40571,plain,
( ~ $less(0,div1(0,sK1))
| $less(sK1,sK1)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_265 ),
inference(superposition,[],[f39870,f9570]) ).
tff(f40537,plain,
( spl11_533
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_498 ),
inference(avatar_split_clause,[],[f39524,f35149,f9363,f982,f264,f191,f40535]) ).
tff(f40535,plain,
( spl11_533
<=> $less(sK1,$sum(sK1,sF5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_533])]) ).
tff(f35149,plain,
( spl11_498
<=> $less(div1(0,sK1),sF5) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_498])]) ).
tff(f39524,plain,
( $less(sK1,$sum(sK1,sF5))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_498 ),
inference(forward_demodulation,[],[f39495,f47]) ).
tff(f39495,plain,
( $less(sK1,$sum(sF5,sK1))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_498 ),
inference(resolution,[],[f39255,f35150]) ).
tff(f35150,plain,
( $less(div1(0,sK1),sF5)
| ~ spl11_498 ),
inference(avatar_component_clause,[],[f35149]) ).
tff(f40004,plain,
( spl11_532
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_530 ),
inference(avatar_split_clause,[],[f39978,f39967,f982,f264,f191,f40002]) ).
tff(f39978,plain,
( $less($uminus(abs1(sK1)),sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_530 ),
inference(resolution,[],[f39968,f1404]) ).
tff(f40000,plain,
( spl11_531
| spl11_58
| ~ spl11_530 ),
inference(avatar_split_clause,[],[f39996,f39967,f982,f39998]) ).
tff(f39996,plain,
( $less($uminus(sK1),0)
| spl11_58
| ~ spl11_530 ),
inference(subsumption_resolution,[],[f39991,f983]) ).
tff(f39991,plain,
( $less($uminus(sK1),0)
| $less(sK1,0)
| ~ spl11_530 ),
inference(superposition,[],[f39968,f126]) ).
tff(f39969,plain,
( spl11_53
| spl11_530
| ~ spl11_437 ),
inference(avatar_split_clause,[],[f28289,f28279,f39967,f951]) ).
tff(f28289,plain,
( $less($uminus(abs1(sK1)),0)
| ( 0 = sK1 )
| ~ spl11_437 ),
inference(superposition,[],[f161,f28280]) ).
tff(f39957,plain,
( spl11_529
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_477 ),
inference(avatar_split_clause,[],[f39542,f32314,f9363,f982,f264,f191,f39955]) ).
tff(f32314,plain,
( spl11_477
<=> $less(div1(0,sK1),sF8) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_477])]) ).
tff(f39542,plain,
( $less(sK1,$sum(sK1,sF8))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_477 ),
inference(forward_demodulation,[],[f39497,f47]) ).
tff(f39497,plain,
( $less(sK1,$sum(sF8,sK1))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_477 ),
inference(resolution,[],[f39255,f32315]) ).
tff(f32315,plain,
( $less(div1(0,sK1),sF8)
| ~ spl11_477 ),
inference(avatar_component_clause,[],[f32314]) ).
tff(f39953,plain,
( spl11_528
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_480 ),
inference(avatar_split_clause,[],[f39538,f32326,f9363,f982,f264,f191,f39951]) ).
tff(f32326,plain,
( spl11_480
<=> $less(div1(0,sK1),sF6) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_480])]) ).
tff(f39538,plain,
( $less(sK1,$sum(sK1,sF6))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_480 ),
inference(forward_demodulation,[],[f39496,f47]) ).
tff(f39496,plain,
( $less(sK1,$sum(sF6,sK1))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_480 ),
inference(resolution,[],[f39255,f32327]) ).
tff(f32327,plain,
( $less(div1(0,sK1),sF6)
| ~ spl11_480 ),
inference(avatar_component_clause,[],[f32326]) ).
tff(f39943,plain,
( spl11_527
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_479 ),
inference(avatar_split_clause,[],[f39537,f32322,f9363,f982,f264,f191,f39941]) ).
tff(f39941,plain,
( spl11_527
<=> $less(sK1,$sum(sK1,sF10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_527])]) ).
tff(f32322,plain,
( spl11_479
<=> $less(div1(0,sK1),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_479])]) ).
tff(f39537,plain,
( $less(sK1,$sum(sK1,sF10))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_479 ),
inference(forward_demodulation,[],[f39498,f47]) ).
tff(f39498,plain,
( $less(sK1,$sum(sF10,sK1))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_479 ),
inference(resolution,[],[f39255,f32323]) ).
tff(f32323,plain,
( $less(div1(0,sK1),sF10)
| ~ spl11_479 ),
inference(avatar_component_clause,[],[f32322]) ).
tff(f39939,plain,
( spl11_526
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_475 ),
inference(avatar_split_clause,[],[f39536,f32246,f9363,f982,f264,f191,f39937]) ).
tff(f32246,plain,
( spl11_475
<=> $less(div1(0,sK1),sF3) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_475])]) ).
tff(f39536,plain,
( $less(sK1,$sum(sK1,sF3))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_475 ),
inference(forward_demodulation,[],[f39493,f47]) ).
tff(f39493,plain,
( $less(sK1,$sum(sF3,sK1))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_475 ),
inference(resolution,[],[f39255,f32247]) ).
tff(f32247,plain,
( $less(div1(0,sK1),sF3)
| ~ spl11_475 ),
inference(avatar_component_clause,[],[f32246]) ).
tff(f39890,plain,
( ~ spl11_525
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f39886,f9363,f982,f264,f191,f39888]) ).
tff(f39888,plain,
( spl11_525
<=> $less(0,$uminus(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_525])]) ).
tff(f39886,plain,
( ~ $less(0,$uminus(sK1))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(subsumption_resolution,[],[f39873,f983]) ).
tff(f39873,plain,
( $less(sK1,0)
| ~ $less(0,$uminus(sK1))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(superposition,[],[f39541,f267]) ).
tff(f39858,plain,
( spl11_524
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_481 ),
inference(avatar_split_clause,[],[f39533,f32330,f9363,f982,f264,f191,f39856]) ).
tff(f32330,plain,
( spl11_481
<=> $less(div1(0,sK1),sF4) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_481])]) ).
tff(f39533,plain,
( $less(sK1,$sum(sK1,sF4))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_481 ),
inference(forward_demodulation,[],[f39494,f47]) ).
tff(f39494,plain,
( $less(sK1,$sum(sF4,sK1))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_481 ),
inference(resolution,[],[f39255,f32331]) ).
tff(f32331,plain,
( $less(div1(0,sK1),sF4)
| ~ spl11_481 ),
inference(avatar_component_clause,[],[f32330]) ).
tff(f39854,plain,
( spl11_523
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_476 ),
inference(avatar_split_clause,[],[f39528,f32250,f9363,f982,f264,f191,f39852]) ).
tff(f32250,plain,
( spl11_476
<=> $less(div1(0,sK1),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_476])]) ).
tff(f39528,plain,
( $less(sK1,$sum(sK1,sK2))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_476 ),
inference(forward_demodulation,[],[f39492,f47]) ).
tff(f39492,plain,
( $less(sK1,$sum(sK2,sK1))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_476 ),
inference(resolution,[],[f39255,f32251]) ).
tff(f32251,plain,
( $less(div1(0,sK1),sK2)
| ~ spl11_476 ),
inference(avatar_component_clause,[],[f32250]) ).
tff(f39850,plain,
( spl11_522
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_521 ),
inference(avatar_split_clause,[],[f39841,f39828,f982,f264,f191,f39848]) ).
tff(f39848,plain,
( spl11_522
<=> $less($uminus(sK0),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_522])]) ).
tff(f39841,plain,
( $less($uminus(sK0),sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_521 ),
inference(resolution,[],[f39829,f31215]) ).
tff(f31215,plain,
( ! [X8: $int,X7: $int] :
( ~ $less(X8,$sum(X7,X8))
| $less($uminus(X7),sF10) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f29465,f57]) ).
tff(f39830,plain,
( spl11_521
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_478 ),
inference(avatar_split_clause,[],[f39490,f32318,f9363,f982,f264,f191,f39828]) ).
tff(f32318,plain,
( spl11_478
<=> $less(div1(0,sK1),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_478])]) ).
tff(f39490,plain,
( $less(sK1,$sum(sK0,sK1))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_478 ),
inference(resolution,[],[f39255,f32319]) ).
tff(f32319,plain,
( $less(div1(0,sK1),sK0)
| ~ spl11_478 ),
inference(avatar_component_clause,[],[f32318]) ).
tff(f39826,plain,
( ~ spl11_520
| ~ spl11_14
| ~ spl11_519 ),
inference(avatar_split_clause,[],[f39815,f39706,f243,f39824]) ).
tff(f39824,plain,
( spl11_520
<=> $less($sum(sK1,sK1),sF5) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_520])]) ).
tff(f39706,plain,
( spl11_519
<=> $less(sK1,$sum(sK1,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_519])]) ).
tff(f39815,plain,
( ~ $less($sum(sK1,sK1),sF5)
| ~ spl11_14
| ~ spl11_519 ),
inference(resolution,[],[f39707,f342]) ).
tff(f39707,plain,
( $less(sK1,$sum(sK1,sK1))
| ~ spl11_519 ),
inference(avatar_component_clause,[],[f39706]) ).
tff(f39708,plain,
( spl11_519
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_474 ),
inference(avatar_split_clause,[],[f39491,f32230,f9363,f982,f264,f191,f39706]) ).
tff(f32230,plain,
( spl11_474
<=> $less(div1(0,sK1),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_474])]) ).
tff(f39491,plain,
( $less(sK1,$sum(sK1,sK1))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263
| ~ spl11_474 ),
inference(resolution,[],[f39255,f32231]) ).
tff(f32231,plain,
( $less(div1(0,sK1),sK1)
| ~ spl11_474 ),
inference(avatar_component_clause,[],[f32230]) ).
tff(f39635,plain,
( ~ spl11_518
| ~ spl11_14
| ~ spl11_517 ),
inference(avatar_split_clause,[],[f39621,f39616,f243,f39633]) ).
tff(f39633,plain,
( spl11_518
<=> $less($sum(sF5,div1(0,sK1)),sF5) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_518])]) ).
tff(f39616,plain,
( spl11_517
<=> $less(sK1,$sum(sF5,div1(0,sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_517])]) ).
tff(f39621,plain,
( ~ $less($sum(sF5,div1(0,sK1)),sF5)
| ~ spl11_14
| ~ spl11_517 ),
inference(resolution,[],[f39617,f342]) ).
tff(f39617,plain,
( $less(sK1,$sum(sF5,div1(0,sK1)))
| ~ spl11_517 ),
inference(avatar_component_clause,[],[f39616]) ).
tff(f39618,plain,
( spl11_517
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f39549,f9363,f982,f264,f243,f191,f39616]) ).
tff(f39549,plain,
( $less(sK1,$sum(sF5,div1(0,sK1)))
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(forward_demodulation,[],[f39548,f448]) ).
tff(f39548,plain,
( $less(sK1,$sum(sK1,$sum(1,div1(0,sK1))))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(forward_demodulation,[],[f39547,f47]) ).
tff(f39547,plain,
( $less(sK1,$sum(sK1,$sum(div1(0,sK1),1)))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(forward_demodulation,[],[f39509,f47]) ).
tff(f39509,plain,
( $less(sK1,$sum($sum(div1(0,sK1),1),sK1))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(resolution,[],[f39255,f326]) ).
tff(f326,plain,
! [X0: $int] : $less(X0,$sum(X0,1)),
inference(resolution,[],[f56,f52]) ).
tff(f39488,plain,
( ~ spl11_516
| spl11_291
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f39432,f982,f264,f191,f13372,f39486]) ).
tff(f39486,plain,
( spl11_516
<=> $less(sF10,div1(sK1,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_516])]) ).
tff(f39432,plain,
( $less($sum(sK1,sF10),0)
| ~ $less(sF10,div1(sK1,sK1))
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f39431,f47]) ).
tff(f39431,plain,
( ~ $less(sF10,div1(sK1,sK1))
| $less($sum(sF10,sK1),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(subsumption_resolution,[],[f39305,f983]) ).
tff(f39305,plain,
( $less(sK1,0)
| ~ $less(sF10,div1(sK1,sK1))
| $less($sum(sF10,sK1),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(resolution,[],[f415,f1153]) ).
tff(f38528,plain,
( spl11_127
| ~ spl11_2
| ~ spl11_17
| ~ spl11_19
| ~ spl11_22
| spl11_58
| spl11_61 ),
inference(avatar_split_clause,[],[f29555,f1094,f982,f309,f264,f255,f191,f2451]) ).
tff(f2451,plain,
( spl11_127
<=> ( $sum(sK1,div1(sF8,sK1)) = div1($sum(sF8,sF10),sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_127])]) ).
tff(f1094,plain,
( spl11_61
<=> $less(sF8,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_61])]) ).
tff(f29555,plain,
( ( $sum(sK1,div1(sF8,sK1)) = div1($sum(sF8,sF10),sK1) )
| ~ spl11_2
| ~ spl11_17
| ~ spl11_19
| ~ spl11_22
| spl11_58
| spl11_61 ),
inference(forward_demodulation,[],[f29554,f310]) ).
tff(f29554,plain,
( ( $sum(sK1,div1($sum(sK1,sF7),sK1)) = div1($sum(sF8,sF10),sK1) )
| ~ spl11_2
| ~ spl11_17
| ~ spl11_19
| ~ spl11_22
| spl11_58
| spl11_61 ),
inference(forward_demodulation,[],[f29553,f47]) ).
tff(f29553,plain,
( ( div1($sum(sF8,sF10),sK1) = $sum(sK1,div1($sum(sF7,sK1),sK1)) )
| ~ spl11_2
| ~ spl11_17
| ~ spl11_19
| ~ spl11_22
| spl11_58
| spl11_61 ),
inference(subsumption_resolution,[],[f29552,f2030]) ).
tff(f2030,plain,
( ~ $less(sF8,0)
| spl11_61 ),
inference(avatar_component_clause,[],[f1094]) ).
tff(f29552,plain,
( ( div1($sum(sF8,sF10),sK1) = $sum(sK1,div1($sum(sF7,sK1),sK1)) )
| $less(sF8,0)
| ~ spl11_2
| ~ spl11_17
| ~ spl11_19
| ~ spl11_22
| spl11_58 ),
inference(forward_demodulation,[],[f29551,f310]) ).
tff(f29551,plain,
( $less($sum(sK1,sF7),0)
| ( div1($sum(sF8,sF10),sK1) = $sum(sK1,div1($sum(sF7,sK1),sK1)) )
| ~ spl11_2
| ~ spl11_17
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f29530,f47]) ).
tff(f29530,plain,
( $less($sum(sF7,sK1),0)
| ( div1($sum(sF8,sF10),sK1) = $sum(sK1,div1($sum(sF7,sK1),sK1)) )
| ~ spl11_2
| ~ spl11_17
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1210,f450]) ).
tff(f1210,plain,
( ! [X2: $int,X3: $int] :
( ( div1($sum(X2,$sum(X3,sF10)),sK1) = $sum(sK1,div1($sum(X2,X3),sK1)) )
| $less($sum(X2,X3),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1143,f48]) ).
tff(f1143,plain,
( ! [X0: $int] :
( ( div1($sum(X0,sF10),sK1) = $sum(sK1,div1(X0,sK1)) )
| $less(X0,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1119,f47]) ).
tff(f38527,plain,
( spl11_515
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| ~ spl11_20
| spl11_58
| spl11_292 ),
inference(avatar_split_clause,[],[f29162,f13375,f982,f301,f264,f243,f191,f38525]) ).
tff(f38525,plain,
( spl11_515
<=> ( $sum(sK1,div1(sF5,sK1)) = div1($sum(sF5,sF10),sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_515])]) ).
tff(f29162,plain,
( ( $sum(sK1,div1(sF5,sK1)) = div1($sum(sF5,sF10),sK1) )
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| ~ spl11_20
| spl11_58
| spl11_292 ),
inference(forward_demodulation,[],[f29161,f302]) ).
tff(f29161,plain,
( ( $sum(sK1,div1($sum(1,sK1),sK1)) = div1($sum(sF5,sF10),sK1) )
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| ~ spl11_20
| spl11_58
| spl11_292 ),
inference(forward_demodulation,[],[f29160,f47]) ).
tff(f29160,plain,
( ( $sum(sK1,div1($sum(sK1,1),sK1)) = div1($sum(sF5,sF10),sK1) )
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| ~ spl11_20
| spl11_58
| spl11_292 ),
inference(subsumption_resolution,[],[f29159,f13376]) ).
tff(f29159,plain,
( $less(sF5,0)
| ( $sum(sK1,div1($sum(sK1,1),sK1)) = div1($sum(sF5,sF10),sK1) )
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| ~ spl11_20
| spl11_58 ),
inference(forward_demodulation,[],[f29158,f302]) ).
tff(f29158,plain,
( $less($sum(1,sK1),0)
| ( $sum(sK1,div1($sum(sK1,1),sK1)) = div1($sum(sF5,sF10),sK1) )
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f29142,f47]) ).
tff(f29142,plain,
( $less($sum(sK1,1),0)
| ( $sum(sK1,div1($sum(sK1,1),sK1)) = div1($sum(sF5,sF10),sK1) )
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1210,f448]) ).
tff(f38222,plain,
( spl11_514
| ~ spl11_1
| ~ spl11_2
| ~ spl11_12
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f38085,f982,f264,f235,f191,f187,f38220]) ).
tff(f38220,plain,
( spl11_514
<=> $less($sum(1,$uminus(sF3)),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_514])]) ).
tff(f38085,plain,
( $less($sum(1,$uminus(sF3)),sF10)
| ~ spl11_1
| ~ spl11_2
| ~ spl11_12
| ~ spl11_19
| spl11_58 ),
inference(subsumption_resolution,[],[f38078,f188]) ).
tff(f38078,plain,
( ~ $less(0,sK2)
| $less($sum(1,$uminus(sF3)),sF10)
| ~ spl11_2
| ~ spl11_12
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f29393,f51]) ).
tff(f29393,plain,
( ! [X44: $int] :
( ~ $less($sum(sF3,X44),sK2)
| $less($sum(1,X44),sF10) )
| ~ spl11_2
| ~ spl11_12
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f29317,f449]) ).
tff(f38090,plain,
( spl11_513
| ~ spl11_131
| ~ spl11_510 ),
inference(avatar_split_clause,[],[f38038,f38031,f2593,f38088]) ).
tff(f38088,plain,
( spl11_513
<=> $less($uminus(sK1),sF8) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_513])]) ).
tff(f38038,plain,
( $less($uminus(sK1),sF8)
| ~ spl11_131
| ~ spl11_510 ),
inference(resolution,[],[f38032,f7170]) ).
tff(f38069,plain,
( spl11_512
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f38065,f982,f264,f243,f191,f38067]) ).
tff(f38067,plain,
( spl11_512
<=> $less($sum(1,$uminus(sF5)),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_512])]) ).
tff(f38065,plain,
( $less($sum(1,$uminus(sF5)),sF10)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58 ),
inference(subsumption_resolution,[],[f38057,f192]) ).
tff(f38057,plain,
( $less($sum(1,$uminus(sF5)),sF10)
| ~ $less(0,sK1)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f29389,f51]) ).
tff(f29389,plain,
( ! [X43: $int] :
( ~ $less($sum(sF5,X43),sK1)
| $less($sum(1,X43),sF10) )
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f29317,f448]) ).
tff(f38049,plain,
( spl11_511
| ~ spl11_400
| ~ spl11_510 ),
inference(avatar_split_clause,[],[f38034,f38031,f20243,f38047]) ).
tff(f38047,plain,
( spl11_511
<=> $less($uminus(sK1),sF3) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_511])]) ).
tff(f38034,plain,
( $less($uminus(sK1),sF3)
| ~ spl11_400
| ~ spl11_510 ),
inference(resolution,[],[f38032,f20428]) ).
tff(f38033,plain,
( spl11_510
| ~ spl11_299
| ~ spl11_508 ),
inference(avatar_split_clause,[],[f37992,f37983,f13676,f38031]) ).
tff(f13676,plain,
( spl11_299
<=> $less(sF5,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_299])]) ).
tff(f37992,plain,
( $less($uminus(sK1),sK2)
| ~ spl11_299
| ~ spl11_508 ),
inference(resolution,[],[f37984,f21063]) ).
tff(f21063,plain,
( ! [X2: $int] :
( ~ $less(X2,sF5)
| $less(X2,sK2) )
| ~ spl11_299 ),
inference(resolution,[],[f13677,f53]) ).
tff(f13677,plain,
( $less(sF5,sK2)
| ~ spl11_299 ),
inference(avatar_component_clause,[],[f13676]) ).
tff(f37988,plain,
( spl11_508
| spl11_509
| ~ spl11_14
| ~ spl11_503 ),
inference(avatar_split_clause,[],[f37834,f37429,f243,f37986,f37983]) ).
tff(f37986,plain,
( spl11_509
<=> $less(sK1,sF7) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_509])]) ).
tff(f37834,plain,
( $less(sK1,sF7)
| $less($uminus(sK1),sF5)
| ~ spl11_14
| ~ spl11_503 ),
inference(resolution,[],[f37442,f332]) ).
tff(f37749,plain,
( spl11_507
| ~ spl11_7
| ~ spl11_505 ),
inference(avatar_split_clause,[],[f37678,f37446,f211,f37719]) ).
tff(f37678,plain,
( $less($uminus(sK1),sF4)
| ~ spl11_7
| ~ spl11_505 ),
inference(resolution,[],[f37447,f360]) ).
tff(f37748,plain,
( spl11_506
| ~ spl11_8
| ~ spl11_505 ),
inference(avatar_split_clause,[],[f37677,f37446,f215,f37715]) ).
tff(f37677,plain,
( $less($uminus(sK1),sF6)
| ~ spl11_8
| ~ spl11_505 ),
inference(resolution,[],[f37447,f361]) ).
tff(f37721,plain,
( spl11_507
| ~ spl11_165
| ~ spl11_503 ),
inference(avatar_split_clause,[],[f37436,f37429,f3768,f37719]) ).
tff(f37436,plain,
( $less($uminus(sK1),sF4)
| ~ spl11_165
| ~ spl11_503 ),
inference(resolution,[],[f37430,f3967]) ).
tff(f37717,plain,
( spl11_506
| ~ spl11_166
| ~ spl11_503 ),
inference(avatar_split_clause,[],[f37435,f37429,f3795,f37715]) ).
tff(f37435,plain,
( $less($uminus(sK1),sF6)
| ~ spl11_166
| ~ spl11_503 ),
inference(resolution,[],[f37430,f3969]) ).
tff(f37448,plain,
( spl11_505
| ~ spl11_111
| ~ spl11_503 ),
inference(avatar_split_clause,[],[f37438,f37429,f1868,f37446]) ).
tff(f37438,plain,
( $less($uminus(sK1),sK0)
| ~ spl11_111
| ~ spl11_503 ),
inference(resolution,[],[f37430,f3712]) ).
tff(f37434,plain,
( spl11_503
| spl11_504
| spl11_209 ),
inference(avatar_split_clause,[],[f5212,f5209,f37432,f37429]) ).
tff(f37432,plain,
( spl11_504
<=> ( sF7 = $uminus(sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_504])]) ).
tff(f5209,plain,
( spl11_209
<=> $less(sF7,$uminus(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_209])]) ).
tff(f5212,plain,
( ( sF7 = $uminus(sK1) )
| $less($uminus(sK1),sF7)
| spl11_209 ),
inference(resolution,[],[f5210,f54]) ).
tff(f5210,plain,
( ~ $less(sF7,$uminus(sK1))
| spl11_209 ),
inference(avatar_component_clause,[],[f5209]) ).
tff(f35886,plain,
( spl11_502
| ~ spl11_315 ),
inference(avatar_split_clause,[],[f35682,f14760,f35884]) ).
tff(f35884,plain,
( spl11_502
<=> $less($uminus(sF3),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_502])]) ).
tff(f14760,plain,
( spl11_315
<=> ! [X6: $int] :
( $less($uminus(sF3),X6)
| $less(X6,sF10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_315])]) ).
tff(f35682,plain,
( $less($uminus(sF3),sF10)
| ~ spl11_315 ),
inference(resolution,[],[f14761,f52]) ).
tff(f14761,plain,
( ! [X6: $int] :
( $less($uminus(sF3),X6)
| $less(X6,sF10) )
| ~ spl11_315 ),
inference(avatar_component_clause,[],[f14760]) ).
tff(f35407,plain,
( spl11_501
| spl11_106
| ~ spl11_473 ),
inference(avatar_split_clause,[],[f35403,f31167,f1726,f35405]) ).
tff(f35405,plain,
( spl11_501
<=> $less($uminus($sum(1,sF3)),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_501])]) ).
tff(f31167,plain,
( spl11_473
<=> $less($uminus($sum(1,abs1(sF3))),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_473])]) ).
tff(f35403,plain,
( $less($uminus($sum(1,sF3)),sF10)
| spl11_106
| ~ spl11_473 ),
inference(subsumption_resolution,[],[f35397,f3891]) ).
tff(f35397,plain,
( $less(sF3,0)
| $less($uminus($sum(1,sF3)),sF10)
| ~ spl11_473 ),
inference(superposition,[],[f31168,f126]) ).
tff(f31168,plain,
( $less($uminus($sum(1,abs1(sF3))),sF10)
| ~ spl11_473 ),
inference(avatar_component_clause,[],[f31167]) ).
tff(f35370,plain,
( spl11_500
| spl11_74
| ~ spl11_471 ),
inference(avatar_split_clause,[],[f35306,f30935,f1276,f35368]) ).
tff(f35368,plain,
( spl11_500
<=> $less($uminus($sum(1,sF10)),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_500])]) ).
tff(f30935,plain,
( spl11_471
<=> $less($uminus($sum(1,abs1(sF10))),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_471])]) ).
tff(f35306,plain,
( $less($uminus($sum(1,sF10)),sF10)
| spl11_74
| ~ spl11_471 ),
inference(subsumption_resolution,[],[f35300,f1277]) ).
tff(f35300,plain,
( $less($uminus($sum(1,sF10)),sF10)
| $less(sF10,0)
| ~ spl11_471 ),
inference(superposition,[],[f30936,f126]) ).
tff(f30936,plain,
( $less($uminus($sum(1,abs1(sF10))),sF10)
| ~ spl11_471 ),
inference(avatar_component_clause,[],[f30935]) ).
tff(f35155,plain,
( spl11_499
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_266
| ~ spl11_464 ),
inference(avatar_split_clause,[],[f35007,f30448,f9573,f982,f264,f191,f35153]) ).
tff(f35153,plain,
( spl11_499
<=> $less($uminus(div1(sK1,sK1)),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_499])]) ).
tff(f35007,plain,
( $less($uminus(div1(sK1,sK1)),sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_266
| ~ spl11_464 ),
inference(subsumption_resolution,[],[f34964,f30449]) ).
tff(f34964,plain,
( ~ $less(sK1,sF5)
| $less($uminus(div1(sK1,sK1)),sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_266 ),
inference(superposition,[],[f33740,f9574]) ).
tff(f33740,plain,
( ! [X0: $int,X1: $int] :
( ~ $less(X1,$sum(X1,X0))
| $less($uminus(X0),sF10) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f31215,f47]) ).
tff(f35151,plain,
( spl11_498
| ~ spl11_464
| ~ spl11_474 ),
inference(avatar_split_clause,[],[f35037,f32230,f30448,f35149]) ).
tff(f35037,plain,
( $less(div1(0,sK1),sF5)
| ~ spl11_464
| ~ spl11_474 ),
inference(resolution,[],[f31664,f32231]) ).
tff(f35070,plain,
( spl11_497
| ~ spl11_390
| ~ spl11_417 ),
inference(avatar_split_clause,[],[f35066,f21956,f19798,f35068]) ).
tff(f35068,plain,
( spl11_497
<=> $less($uminus(abs1(sF6)),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_497])]) ).
tff(f21956,plain,
( spl11_417
<=> $less($uminus(abs1(abs1($uminus(sF6)))),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_417])]) ).
tff(f35066,plain,
( $less($uminus(abs1(sF6)),sF10)
| ~ spl11_390
| ~ spl11_417 ),
inference(subsumption_resolution,[],[f35057,f19799]) ).
tff(f35057,plain,
( $less($uminus(abs1(sF6)),sF10)
| ~ $less($uminus(sF6),0)
| ~ spl11_417 ),
inference(superposition,[],[f21957,f345]) ).
tff(f345,plain,
! [X0: $int] :
( ( abs1($uminus(X0)) = X0 )
| ~ $less($uminus(X0),0) ),
inference(superposition,[],[f127,f57]) ).
tff(f21957,plain,
( $less($uminus(abs1(abs1($uminus(sF6)))),sF10)
| ~ spl11_417 ),
inference(avatar_component_clause,[],[f21956]) ).
tff(f34765,plain,
( spl11_496
| ~ spl11_131
| ~ spl11_488 ),
inference(avatar_split_clause,[],[f33811,f33440,f2593,f34763]) ).
tff(f34763,plain,
( spl11_496
<=> $less($uminus(div1(0,sK1)),sF8) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_496])]) ).
tff(f33440,plain,
( spl11_488
<=> $less($uminus(div1(0,sK1)),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_488])]) ).
tff(f33811,plain,
( $less($uminus(div1(0,sK1)),sF8)
| ~ spl11_131
| ~ spl11_488 ),
inference(resolution,[],[f33441,f7170]) ).
tff(f33441,plain,
( $less($uminus(div1(0,sK1)),sK2)
| ~ spl11_488 ),
inference(avatar_component_clause,[],[f33440]) ).
tff(f34704,plain,
( spl11_493
| ~ spl11_138
| ~ spl11_488 ),
inference(avatar_split_clause,[],[f33810,f33440,f2816,f34436]) ).
tff(f34436,plain,
( spl11_493
<=> $less($uminus(div1(0,sK1)),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_493])]) ).
tff(f33810,plain,
( $less($uminus(div1(0,sK1)),sF10)
| ~ spl11_138
| ~ spl11_488 ),
inference(resolution,[],[f33441,f2961]) ).
tff(f34656,plain,
( spl11_491
| ~ spl11_139
| ~ spl11_488 ),
inference(avatar_split_clause,[],[f33809,f33440,f2820,f34152]) ).
tff(f34152,plain,
( spl11_491
<=> $less($uminus(div1(0,sK1)),sF4) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_491])]) ).
tff(f33809,plain,
( $less($uminus(div1(0,sK1)),sF4)
| ~ spl11_139
| ~ spl11_488 ),
inference(resolution,[],[f33441,f2971]) ).
tff(f34655,plain,
( spl11_492
| ~ spl11_137
| ~ spl11_488 ),
inference(avatar_split_clause,[],[f33808,f33440,f2730,f34156]) ).
tff(f34156,plain,
( spl11_492
<=> $less($uminus(div1(0,sK1)),sF6) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_492])]) ).
tff(f33808,plain,
( $less($uminus(div1(0,sK1)),sF6)
| ~ spl11_137
| ~ spl11_488 ),
inference(resolution,[],[f33441,f2951]) ).
tff(f34571,plain,
( spl11_495
| ~ spl11_400
| ~ spl11_488 ),
inference(avatar_split_clause,[],[f33807,f33440,f20243,f34569]) ).
tff(f34569,plain,
( spl11_495
<=> $less($uminus(div1(0,sK1)),sF3) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_495])]) ).
tff(f33807,plain,
( $less($uminus(div1(0,sK1)),sF3)
| ~ spl11_400
| ~ spl11_488 ),
inference(resolution,[],[f33441,f20428]) ).
tff(f34471,plain,
( ~ spl11_494
| spl11_462
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_266 ),
inference(avatar_split_clause,[],[f34383,f9573,f982,f264,f191,f30285,f34469]) ).
tff(f34469,plain,
( spl11_494
<=> $less(abs1(sF5),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_494])]) ).
tff(f30285,plain,
( spl11_462
<=> $less(div1(sK1,sK1),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_462])]) ).
tff(f34383,plain,
( $less(div1(sK1,sK1),sF10)
| ~ $less(abs1(sF5),sK1)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_266 ),
inference(superposition,[],[f30507,f9574]) ).
tff(f30507,plain,
( ! [X3: $int,X4: $int] :
( ~ $less(abs1($sum(X4,X3)),X4)
| $less(X3,sF10) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(resolution,[],[f29347,f55]) ).
tff(f29347,plain,
( ! [X8: $int,X9: $int] :
( ~ $less($sum(abs1(X9),X8),X9)
| $less(X8,sF10) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(resolution,[],[f29317,f149]) ).
tff(f34438,plain,
( spl11_493
| ~ spl11_10
| ~ spl11_487 ),
inference(avatar_split_clause,[],[f33605,f33436,f224,f34436]) ).
tff(f33436,plain,
( spl11_487
<=> $less($uminus(div1(0,sK1)),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_487])]) ).
tff(f33605,plain,
( $less($uminus(div1(0,sK1)),sF10)
| ~ spl11_10
| ~ spl11_487 ),
inference(resolution,[],[f33437,f362]) ).
tff(f33437,plain,
( $less($uminus(div1(0,sK1)),sK0)
| ~ spl11_487 ),
inference(avatar_component_clause,[],[f33436]) ).
tff(f34238,plain,
( spl11_491
| ~ spl11_7
| ~ spl11_487 ),
inference(avatar_split_clause,[],[f33604,f33436,f211,f34152]) ).
tff(f33604,plain,
( $less($uminus(div1(0,sK1)),sF4)
| ~ spl11_7
| ~ spl11_487 ),
inference(resolution,[],[f33437,f360]) ).
tff(f34159,plain,
( spl11_492
| ~ spl11_8
| ~ spl11_487 ),
inference(avatar_split_clause,[],[f33603,f33436,f215,f34156]) ).
tff(f33603,plain,
( $less($uminus(div1(0,sK1)),sF6)
| ~ spl11_8
| ~ spl11_487 ),
inference(resolution,[],[f33437,f361]) ).
tff(f34158,plain,
( spl11_492
| ~ spl11_307
| ~ spl11_484 ),
inference(avatar_split_clause,[],[f33409,f32819,f14147,f34156]) ).
tff(f32819,plain,
( spl11_484
<=> $less($uminus(div1(0,sK1)),sF5) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_484])]) ).
tff(f33409,plain,
( $less($uminus(div1(0,sK1)),sF6)
| ~ spl11_307
| ~ spl11_484 ),
inference(resolution,[],[f14161,f32820]) ).
tff(f32820,plain,
( $less($uminus(div1(0,sK1)),sF5)
| ~ spl11_484 ),
inference(avatar_component_clause,[],[f32819]) ).
tff(f34154,plain,
( spl11_491
| ~ spl11_306
| ~ spl11_484 ),
inference(avatar_split_clause,[],[f33353,f32819,f14143,f34152]) ).
tff(f33353,plain,
( $less($uminus(div1(0,sK1)),sF4)
| ~ spl11_306
| ~ spl11_484 ),
inference(resolution,[],[f14158,f32820]) ).
tff(f33906,plain,
( spl11_490
| ~ spl11_2
| ~ spl11_17
| ~ spl11_19
| spl11_58
| ~ spl11_117 ),
inference(avatar_split_clause,[],[f33805,f2041,f982,f264,f255,f191,f33904]) ).
tff(f33904,plain,
( spl11_490
<=> $less($uminus(sF7),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_490])]) ).
tff(f33805,plain,
( $less($uminus(sF7),sF10)
| ~ spl11_2
| ~ spl11_17
| ~ spl11_19
| spl11_58
| ~ spl11_117 ),
inference(subsumption_resolution,[],[f33776,f2042]) ).
tff(f33776,plain,
( $less($uminus(sF7),sF10)
| ~ $less(sK1,sF8)
| ~ spl11_2
| ~ spl11_17
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f31215,f256]) ).
tff(f33902,plain,
( spl11_489
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_454
| ~ spl11_477 ),
inference(avatar_split_clause,[],[f33801,f32314,f29568,f982,f264,f191,f33900]) ).
tff(f33900,plain,
( spl11_489
<=> $less($uminus(sF8),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_489])]) ).
tff(f29568,plain,
( spl11_454
<=> ( sF8 = $sum(sF8,div1(0,sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_454])]) ).
tff(f33801,plain,
( $less($uminus(sF8),sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_454
| ~ spl11_477 ),
inference(subsumption_resolution,[],[f33778,f32315]) ).
tff(f33778,plain,
( $less($uminus(sF8),sF10)
| ~ $less(div1(0,sK1),sF8)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_454 ),
inference(superposition,[],[f31215,f29569]) ).
tff(f29569,plain,
( ( sF8 = $sum(sF8,div1(0,sK1)) )
| ~ spl11_454 ),
inference(avatar_component_clause,[],[f29568]) ).
tff(f33442,plain,
( spl11_488
| ~ spl11_299
| ~ spl11_484 ),
inference(avatar_split_clause,[],[f32981,f32819,f13676,f33440]) ).
tff(f32981,plain,
( $less($uminus(div1(0,sK1)),sK2)
| ~ spl11_299
| ~ spl11_484 ),
inference(resolution,[],[f21063,f32820]) ).
tff(f33438,plain,
( spl11_487
| ~ spl11_304
| ~ spl11_484 ),
inference(avatar_split_clause,[],[f32947,f32819,f14008,f33436]) ).
tff(f14008,plain,
( spl11_304
<=> $less(sF5,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_304])]) ).
tff(f32947,plain,
( $less($uminus(div1(0,sK1)),sK0)
| ~ spl11_304
| ~ spl11_484 ),
inference(resolution,[],[f14136,f32820]) ).
tff(f14136,plain,
( ! [X1: $int] :
( ~ $less(X1,sF5)
| $less(X1,sK0) )
| ~ spl11_304 ),
inference(resolution,[],[f14009,f53]) ).
tff(f14009,plain,
( $less(sF5,sK0)
| ~ spl11_304 ),
inference(avatar_component_clause,[],[f14008]) ).
tff(f33099,plain,
( spl11_452
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| ~ spl11_20
| spl11_58
| spl11_292 ),
inference(avatar_split_clause,[],[f32928,f13375,f982,f301,f264,f243,f191,f29193]) ).
tff(f32928,plain,
( ( mod1($sum(sF5,sF10),sK1) = mod1(sF5,sK1) )
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| ~ spl11_20
| spl11_58
| spl11_292 ),
inference(forward_demodulation,[],[f32927,f302]) ).
tff(f32927,plain,
( ( mod1($sum(1,sK1),sK1) = mod1($sum(sF5,sF10),sK1) )
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| ~ spl11_20
| spl11_58
| spl11_292 ),
inference(forward_demodulation,[],[f32926,f47]) ).
tff(f32926,plain,
( ( mod1($sum(sK1,1),sK1) = mod1($sum(sF5,sF10),sK1) )
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| ~ spl11_20
| spl11_58
| spl11_292 ),
inference(subsumption_resolution,[],[f32925,f13376]) ).
tff(f32925,plain,
( $less(sF5,0)
| ( mod1($sum(sK1,1),sK1) = mod1($sum(sF5,sF10),sK1) )
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| ~ spl11_20
| spl11_58 ),
inference(forward_demodulation,[],[f32924,f302]) ).
tff(f32924,plain,
( $less($sum(1,sK1),0)
| ( mod1($sum(sK1,1),sK1) = mod1($sum(sF5,sF10),sK1) )
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f32893,f47]) ).
tff(f32893,plain,
( $less($sum(sK1,1),0)
| ( mod1($sum(sK1,1),sK1) = mod1($sum(sF5,sF10),sK1) )
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1180,f448]) ).
tff(f1180,plain,
( ! [X2: $int,X3: $int] :
( ( mod1($sum(X2,$sum(X3,sF10)),sK1) = mod1($sum(X2,X3),sK1) )
| $less($sum(X2,X3),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1130,f48]) ).
tff(f33037,plain,
( spl11_154
| spl11_194
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(avatar_split_clause,[],[f24394,f1726,f856,f239,f4847,f3454]) ).
tff(f4847,plain,
( spl11_194
<=> ! [X0: $int] :
( ~ $less($sum(sF4,X0),sF3)
| ( $sum(sF4,$sum(X0,$product(sF3,div1(X0,sF3)))) = X0 )
| $less(X0,0)
| $less($sum(sF4,X0),0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_194])]) ).
tff(f24394,plain,
( ! [X0: $int] :
( ( $sum(sF4,$sum(X0,$product(sF3,div1(X0,sF3)))) = X0 )
| $less($sum(sF4,X0),0)
| ( 0 = sF3 )
| ~ $less($sum(sF4,X0),sF3)
| $less(X0,0) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(forward_demodulation,[],[f24393,f48]) ).
tff(f24393,plain,
( ! [X0: $int] :
( $less(X0,0)
| $less($sum(sF4,X0),0)
| ( 0 = sF3 )
| ( $sum($sum(sF4,X0),$product(sF3,div1(X0,sF3))) = X0 )
| ~ $less($sum(sF4,X0),sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(forward_demodulation,[],[f24374,f47]) ).
tff(f24374,plain,
( ! [X0: $int] :
( ( 0 = sF3 )
| $less($sum(sF4,X0),0)
| $less(X0,0)
| ~ $less($sum(sF4,X0),sF3)
| ( $sum($product(sF3,div1(X0,sF3)),$sum(sF4,X0)) = X0 ) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f128,f4188]) ).
tff(f4188,plain,
( ! [X1: $int] :
( ( $sum(sF4,X1) = mod1(X1,sF3) )
| $less($sum(sF4,X1),0)
| $less(X1,0)
| ~ $less($sum(sF4,X1),sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f4180,f145]) ).
tff(f145,plain,
! [X0: $int,X1: $int] :
( ( mod1(X1,X0) = X1 )
| $less(X1,0)
| ~ $less(X1,X0) ),
inference(cnf_transformation,[],[f120]) ).
tff(f120,plain,
! [X1: $int,X0: $int] :
( ( mod1(X1,X0) = X1 )
| $less(X1,0)
| ~ $less(X1,X0) ),
inference(flattening,[],[f119]) ).
tff(f119,plain,
! [X0: $int,X1: $int] :
( ( mod1(X1,X0) = X1 )
| $less(X1,0)
| ~ $less(X1,X0) ),
inference(ennf_transformation,[],[f82]) ).
tff(f82,plain,
! [X0: $int,X1: $int] :
( ( ~ $less(X1,0)
& $less(X1,X0) )
=> ( mod1(X1,X0) = X1 ) ),
inference(rectify,[],[f41]) ).
tff(f41,plain,
! [X7: $int,X1: $int] :
( ( ~ $less(X1,0)
& $less(X1,X7) )
=> ( mod1(X1,X7) = X1 ) ),
inference(theory_normalization,[],[f23]) ).
tff(f23,axiom,
! [X7: $int,X1: $int] :
( ( $lesseq(0,X1)
& $less(X1,X7) )
=> ( mod1(X1,X7) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mod_inf) ).
tff(f128,plain,
! [X0: $int,X1: $int] :
( ( $sum($product(X1,div1(X0,X1)),mod1(X0,X1)) = X0 )
| ( 0 = X1 ) ),
inference(cnf_transformation,[],[f96]) ).
tff(f96,plain,
! [X1: $int,X0: $int] :
( ( 0 = X1 )
| ( $sum($product(X1,div1(X0,X1)),mod1(X0,X1)) = X0 ) ),
inference(ennf_transformation,[],[f81]) ).
tff(f81,plain,
! [X0: $int,X1: $int] :
( ( 0 != X1 )
=> ( $sum($product(X1,div1(X0,X1)),mod1(X0,X1)) = X0 ) ),
inference(rectify,[],[f12]) ).
tff(f12,axiom,
! [X1: $int,X7: $int] :
( ( 0 != X7 )
=> ( $sum($product(X7,div1(X1,X7)),mod1(X1,X7)) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',div_mod) ).
tff(f33036,plain,
( spl11_53
| spl11_134
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f18128,f982,f264,f191,f2656,f951]) ).
tff(f2656,plain,
( spl11_134
<=> ! [X0: $int] :
( ~ $less($sum(sF10,X0),sK1)
| ( $sum(sF10,$sum(X0,$product(sK1,div1(X0,sK1)))) = X0 )
| $less($sum(sF10,X0),0)
| $less(X0,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_134])]) ).
tff(f18128,plain,
( ! [X0: $int] :
( $less($sum(sF10,X0),0)
| ~ $less($sum(sF10,X0),sK1)
| $less(X0,0)
| ( 0 = sK1 )
| ( $sum(sF10,$sum(X0,$product(sK1,div1(X0,sK1)))) = X0 ) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f18127,f48]) ).
tff(f18127,plain,
( ! [X0: $int] :
( ~ $less($sum(sF10,X0),sK1)
| $less(X0,0)
| ( $sum($sum(sF10,X0),$product(sK1,div1(X0,sK1))) = X0 )
| ( 0 = sK1 )
| $less($sum(sF10,X0),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f18113,f47]) ).
tff(f18113,plain,
( ! [X0: $int] :
( $less(X0,0)
| $less($sum(sF10,X0),0)
| ( 0 = sK1 )
| ~ $less($sum(sF10,X0),sK1)
| ( $sum($product(sK1,div1(X0,sK1)),$sum(sF10,X0)) = X0 ) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f128,f1132]) ).
tff(f1132,plain,
( ! [X1: $int] :
( ( $sum(sF10,X1) = mod1(X1,sK1) )
| ~ $less($sum(sF10,X1),sK1)
| $less($sum(sF10,X1),0)
| $less(X1,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1116,f145]) ).
tff(f33035,plain,
( spl11_486
| spl11_154
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(avatar_split_clause,[],[f24242,f1726,f856,f239,f3454,f33033]) ).
tff(f33033,plain,
( spl11_486
<=> ! [X0: $int] :
( $less($sum($uminus(sF4),X0),0)
| ( $sum(mod1(X0,sF3),$product(sF3,div1($sum($uminus(sF4),X0),sF3))) = $sum($uminus(sF4),X0) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_486])]) ).
tff(f24242,plain,
( ! [X0: $int] :
( ( 0 = sF3 )
| $less($sum($uminus(sF4),X0),0)
| ( $sum(mod1(X0,sF3),$product(sF3,div1($sum($uminus(sF4),X0),sF3))) = $sum($uminus(sF4),X0) ) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(forward_demodulation,[],[f24228,f47]) ).
tff(f24228,plain,
( ! [X0: $int] :
( ( $sum($uminus(sF4),X0) = $sum($product(sF3,div1($sum($uminus(sF4),X0),sF3)),mod1(X0,sF3)) )
| $less($sum($uminus(sF4),X0),0)
| ( 0 = sF3 ) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f128,f23933]) ).
tff(f23933,plain,
( ! [X4: $int] :
( ( mod1($sum($uminus(sF4),X4),sF3) = mod1(X4,sF3) )
| $less($sum($uminus(sF4),X4),0) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f4180,f465]) ).
tff(f33023,plain,
( spl11_53
| spl11_485
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f23676,f982,f264,f191,f33021,f951]) ).
tff(f33021,plain,
( spl11_485
<=> ! [X3: $int] :
( ( $sum(mod1(X3,sK1),$product(sK1,div1($sum($uminus(sF10),X3),sK1))) = $sum($uminus(sF10),X3) )
| $less($sum($uminus(sF10),X3),0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_485])]) ).
tff(f23676,plain,
( ! [X3: $int] :
( ( $sum(mod1(X3,sK1),$product(sK1,div1($sum($uminus(sF10),X3),sK1))) = $sum($uminus(sF10),X3) )
| $less($sum($uminus(sF10),X3),0)
| ( 0 = sK1 ) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f23649,f47]) ).
tff(f23649,plain,
( ! [X3: $int] :
( ( $sum($product(sK1,div1($sum($uminus(sF10),X3),sK1)),mod1(X3,sK1)) = $sum($uminus(sF10),X3) )
| ( 0 = sK1 )
| $less($sum($uminus(sF10),X3),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f128,f23472]) ).
tff(f23472,plain,
( ! [X69: $int] :
( ( mod1($sum($uminus(sF10),X69),sK1) = mod1(X69,sK1) )
| $less($sum($uminus(sF10),X69),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1116,f465]) ).
tff(f32938,plain,
( spl11_450
| ~ spl11_13
| ~ spl11_14
| ~ spl11_20
| ~ spl11_47
| spl11_106
| spl11_292 ),
inference(avatar_split_clause,[],[f32923,f13375,f1726,f856,f301,f243,f239,f29185]) ).
tff(f32923,plain,
( ( mod1($sum(sF4,sF5),sF3) = mod1(sF5,sF3) )
| ~ spl11_13
| ~ spl11_14
| ~ spl11_20
| ~ spl11_47
| spl11_106
| spl11_292 ),
inference(forward_demodulation,[],[f32922,f47]) ).
tff(f32922,plain,
( ( mod1($sum(sF5,sF4),sF3) = mod1(sF5,sF3) )
| ~ spl11_13
| ~ spl11_14
| ~ spl11_20
| ~ spl11_47
| spl11_106
| spl11_292 ),
inference(forward_demodulation,[],[f32921,f302]) ).
tff(f32921,plain,
( ( mod1($sum(sF5,sF4),sF3) = mod1($sum(1,sK1),sF3) )
| ~ spl11_13
| ~ spl11_14
| ~ spl11_20
| ~ spl11_47
| spl11_106
| spl11_292 ),
inference(forward_demodulation,[],[f32920,f47]) ).
tff(f32920,plain,
( ( mod1($sum(sF5,sF4),sF3) = mod1($sum(sK1,1),sF3) )
| ~ spl11_13
| ~ spl11_14
| ~ spl11_20
| ~ spl11_47
| spl11_106
| spl11_292 ),
inference(subsumption_resolution,[],[f32919,f13376]) ).
tff(f32919,plain,
( $less(sF5,0)
| ( mod1($sum(sF5,sF4),sF3) = mod1($sum(sK1,1),sF3) )
| ~ spl11_13
| ~ spl11_14
| ~ spl11_20
| ~ spl11_47
| spl11_106 ),
inference(forward_demodulation,[],[f32918,f302]) ).
tff(f32918,plain,
( $less($sum(1,sK1),0)
| ( mod1($sum(sF5,sF4),sF3) = mod1($sum(sK1,1),sF3) )
| ~ spl11_13
| ~ spl11_14
| ~ spl11_47
| spl11_106 ),
inference(forward_demodulation,[],[f32894,f47]) ).
tff(f32894,plain,
( $less($sum(sK1,1),0)
| ( mod1($sum(sF5,sF4),sF3) = mod1($sum(sK1,1),sF3) )
| ~ spl11_13
| ~ spl11_14
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f4219,f448]) ).
tff(f4219,plain,
( ! [X2: $int,X3: $int] :
( ( mod1($sum(X2,X3),sF3) = mod1($sum(X2,$sum(X3,sF4)),sF3) )
| $less($sum(X2,X3),0) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f4186,f48]) ).
tff(f32821,plain,
( spl11_484
| ~ spl11_14
| spl11_483 ),
inference(avatar_split_clause,[],[f32812,f32441,f243,f32819]) ).
tff(f32441,plain,
( spl11_483
<=> $less(sK1,$uminus(div1(0,sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_483])]) ).
tff(f32812,plain,
( $less($uminus(div1(0,sK1)),sF5)
| ~ spl11_14
| spl11_483 ),
inference(resolution,[],[f32442,f332]) ).
tff(f32442,plain,
( ~ $less(sK1,$uminus(div1(0,sK1)))
| spl11_483 ),
inference(avatar_component_clause,[],[f32441]) ).
tff(f32609,plain,
( spl11_192
| spl11_154
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(avatar_split_clause,[],[f24376,f1726,f856,f239,f3454,f4789]) ).
tff(f4789,plain,
( spl11_192
<=> ! [X2: $int] :
( $less($sum(sF4,X2),0)
| ~ $less(0,$sum(sF4,X2))
| $less(0,X2)
| ~ $less($sum(sF4,X2),sF3)
| $less(X2,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_192])]) ).
tff(f24376,plain,
( ! [X2: $int] :
( ( 0 = sF3 )
| $less(X2,0)
| ~ $less(0,$sum(sF4,X2))
| $less($sum(sF4,X2),0)
| $less(0,X2)
| ~ $less($sum(sF4,X2),sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f159,f4188]) ).
tff(f159,plain,
! [X0: $int,X1: $int] :
( ~ $less(0,mod1(X0,X1))
| ( 0 = X1 )
| $less(0,X0) ),
inference(cnf_transformation,[],[f105]) ).
tff(f105,plain,
! [X1: $int,X0: $int] :
( ~ $less(0,mod1(X0,X1))
| ( 0 = X1 )
| $less(0,X0) ),
inference(flattening,[],[f104]) ).
tff(f104,plain,
! [X0: $int,X1: $int] :
( ~ $less(0,mod1(X0,X1))
| $less(0,X0)
| ( 0 = X1 ) ),
inference(ennf_transformation,[],[f66]) ).
tff(f66,plain,
! [X0: $int,X1: $int] :
( ( ~ $less(0,X0)
& ( 0 != X1 ) )
=> ~ $less(0,mod1(X0,X1)) ),
inference(rectify,[],[f33]) ).
tff(f33,plain,
! [X1: $int,X7: $int] :
( ( ( 0 != X7 )
& ~ $less(0,X1) )
=> ~ $less(0,mod1(X1,X7)) ),
inference(theory_normalization,[],[f18]) ).
tff(f18,axiom,
! [X1: $int,X7: $int] :
( ( ( 0 != X7 )
& $lesseq(X1,0) )
=> $lesseq(mod1(X1,X7),0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mod_sign_neg) ).
tff(f32608,plain,
( spl11_53
| spl11_132
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f18115,f982,f264,f191,f2605,f951]) ).
tff(f2605,plain,
( spl11_132
<=> ! [X2: $int] :
( $less(X2,0)
| ~ $less($sum(sF10,X2),sK1)
| $less($sum(sF10,X2),0)
| ~ $less(0,$sum(sF10,X2))
| $less(0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_132])]) ).
tff(f18115,plain,
( ! [X2: $int] :
( ~ $less(0,$sum(sF10,X2))
| $less($sum(sF10,X2),0)
| ~ $less($sum(sF10,X2),sK1)
| $less(X2,0)
| $less(0,X2)
| ( 0 = sK1 ) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f159,f1132]) ).
tff(f32456,plain,
( spl11_420
| ~ spl11_12
| ~ spl11_14
| ~ spl11_34 ),
inference(avatar_split_clause,[],[f32439,f590,f243,f235,f23069]) ).
tff(f23069,plain,
( spl11_420
<=> $less(sF5,sF3) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_420])]) ).
tff(f32439,plain,
( $less(sF5,sF3)
| ~ spl11_12
| ~ spl11_14
| ~ spl11_34 ),
inference(subsumption_resolution,[],[f32433,f591]) ).
tff(f32433,plain,
( $less(sF5,sF3)
| ~ $less(sK1,sK2)
| ~ spl11_12
| ~ spl11_14 ),
inference(superposition,[],[f410,f236]) ).
tff(f410,plain,
( ! [X17: $int] :
( $less(sF5,$sum(X17,1))
| ~ $less(sK1,X17) )
| ~ spl11_14 ),
inference(superposition,[],[f55,f244]) ).
tff(f32443,plain,
( ~ spl11_483
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_68
| ~ spl11_263
| ~ spl11_449 ),
inference(avatar_split_clause,[],[f32400,f29004,f9363,f1173,f982,f264,f191,f32441]) ).
tff(f32400,plain,
( ~ $less(sK1,$uminus(div1(0,sK1)))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_68
| ~ spl11_263
| ~ spl11_449 ),
inference(subsumption_resolution,[],[f32385,f983]) ).
tff(f32385,plain,
( ~ $less(sK1,$uminus(div1(0,sK1)))
| $less(sK1,0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_68
| ~ spl11_263
| ~ spl11_449 ),
inference(superposition,[],[f30802,f267]) ).
tff(f30802,plain,
( ! [X10: $int] :
( $less(sK1,$sum(X10,div1(0,sK1)))
| ~ $less(sK1,X10) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_68
| ~ spl11_263
| ~ spl11_449 ),
inference(forward_demodulation,[],[f30801,f9364]) ).
tff(f30801,plain,
( ! [X10: $int] :
( $less(div1(sF10,sK1),$sum(X10,div1(0,sK1)))
| ~ $less(sK1,X10) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_68
| ~ spl11_449 ),
inference(forward_demodulation,[],[f30800,f29005]) ).
tff(f30800,plain,
( ! [X10: $int] :
( $less(div1(abs1($uminus(sF10)),sK1),$sum(X10,div1(0,sK1)))
| ~ $less(sK1,X10) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_68 ),
inference(subsumption_resolution,[],[f30791,f1174]) ).
tff(f30791,plain,
( ! [X10: $int] :
( ~ $less($uminus(sF10),0)
| ~ $less(sK1,X10)
| $less(div1(abs1($uminus(sF10)),sK1),$sum(X10,div1(0,sK1))) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(evaluation,[],[f30757]) ).
tff(f30757,plain,
( ! [X10: $int] :
( $less(0,0)
| ~ $less($uminus(sF10),0)
| $less(div1(abs1($uminus(sF10)),sK1),$sum(X10,div1(0,sK1)))
| ~ $less(sK1,X10) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f24317,f347]) ).
tff(f24317,plain,
( ! [X18: $int,X19: $int] :
( $less(div1(X18,sK1),$sum(X19,div1($sum($uminus(sF10),X18),sK1)))
| ~ $less(sK1,X19)
| $less($sum($uminus(sF10),X18),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f55,f23473]) ).
tff(f32412,plain,
( ~ spl11_482
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_68
| ~ spl11_263
| ~ spl11_449
| ~ spl11_474 ),
inference(avatar_split_clause,[],[f32408,f32230,f29004,f9363,f1173,f982,f264,f191,f32410]) ).
tff(f32410,plain,
( spl11_482
<=> $less(sK1,1) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_482])]) ).
tff(f32408,plain,
( ~ $less(sK1,1)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_68
| ~ spl11_263
| ~ spl11_449
| ~ spl11_474 ),
inference(subsumption_resolution,[],[f32375,f32231]) ).
tff(f32375,plain,
( ~ $less(div1(0,sK1),sK1)
| ~ $less(sK1,1)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_68
| ~ spl11_263
| ~ spl11_449 ),
inference(resolution,[],[f30802,f338]) ).
tff(f338,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,$sum(1,X0))
| ~ $less(X0,X1) ),
inference(superposition,[],[f64,f47]) ).
tff(f32332,plain,
( spl11_481
| ~ spl11_126
| ~ spl11_474 ),
inference(avatar_split_clause,[],[f32239,f32230,f2440,f32330]) ).
tff(f32239,plain,
( $less(div1(0,sK1),sF4)
| ~ spl11_126
| ~ spl11_474 ),
inference(resolution,[],[f32231,f2487]) ).
tff(f32328,plain,
( spl11_480
| ~ spl11_125
| ~ spl11_474 ),
inference(avatar_split_clause,[],[f32238,f32230,f2375,f32326]) ).
tff(f32238,plain,
( $less(div1(0,sK1),sF6)
| ~ spl11_125
| ~ spl11_474 ),
inference(resolution,[],[f32231,f2483]) ).
tff(f32324,plain,
( spl11_479
| ~ spl11_56
| ~ spl11_474 ),
inference(avatar_split_clause,[],[f32237,f32230,f973,f32322]) ).
tff(f32237,plain,
( $less(div1(0,sK1),sF10)
| ~ spl11_56
| ~ spl11_474 ),
inference(resolution,[],[f32231,f2385]) ).
tff(f32320,plain,
( spl11_478
| ~ spl11_50
| ~ spl11_474 ),
inference(avatar_split_clause,[],[f32236,f32230,f916,f32318]) ).
tff(f32236,plain,
( $less(div1(0,sK1),sK0)
| ~ spl11_50
| ~ spl11_474 ),
inference(resolution,[],[f32231,f2370]) ).
tff(f32316,plain,
( spl11_477
| ~ spl11_117
| ~ spl11_474 ),
inference(avatar_split_clause,[],[f32235,f32230,f2041,f32314]) ).
tff(f32235,plain,
( $less(div1(0,sK1),sF8)
| ~ spl11_117
| ~ spl11_474 ),
inference(resolution,[],[f32231,f2045]) ).
tff(f32252,plain,
( spl11_476
| ~ spl11_34
| ~ spl11_474 ),
inference(avatar_split_clause,[],[f32234,f32230,f590,f32250]) ).
tff(f32234,plain,
( $less(div1(0,sK1),sK2)
| ~ spl11_34
| ~ spl11_474 ),
inference(resolution,[],[f32231,f1028]) ).
tff(f32248,plain,
( spl11_475
| ~ spl11_46
| ~ spl11_474 ),
inference(avatar_split_clause,[],[f32233,f32230,f852,f32246]) ).
tff(f32233,plain,
( $less(div1(0,sK1),sF3)
| ~ spl11_46
| ~ spl11_474 ),
inference(resolution,[],[f32231,f860]) ).
tff(f32232,plain,
( spl11_474
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_68
| ~ spl11_263
| ~ spl11_449 ),
inference(avatar_split_clause,[],[f32182,f29004,f9363,f1173,f982,f264,f191,f32230]) ).
tff(f32182,plain,
( $less(div1(0,sK1),sK1)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_68
| ~ spl11_263
| ~ spl11_449 ),
inference(subsumption_resolution,[],[f32163,f192]) ).
tff(f32163,plain,
( ~ $less(0,sK1)
| $less(div1(0,sK1),sK1)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_68
| ~ spl11_263
| ~ spl11_449 ),
inference(superposition,[],[f30432,f274]) ).
tff(f30432,plain,
( ! [X10: $int] :
( $less($sum(X10,div1(0,sK1)),sK1)
| ~ $less(X10,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_68
| ~ spl11_263
| ~ spl11_449 ),
inference(forward_demodulation,[],[f30431,f9364]) ).
tff(f30431,plain,
( ! [X10: $int] :
( ~ $less(X10,sK1)
| $less($sum(X10,div1(0,sK1)),div1(sF10,sK1)) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_68
| ~ spl11_449 ),
inference(forward_demodulation,[],[f30430,f29005]) ).
tff(f30430,plain,
( ! [X10: $int] :
( $less($sum(X10,div1(0,sK1)),div1(abs1($uminus(sF10)),sK1))
| ~ $less(X10,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_68 ),
inference(subsumption_resolution,[],[f30410,f1174]) ).
tff(f30410,plain,
( ! [X10: $int] :
( ~ $less(X10,sK1)
| $less($sum(X10,div1(0,sK1)),div1(abs1($uminus(sF10)),sK1))
| ~ $less($uminus(sF10),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(evaluation,[],[f30373]) ).
tff(f30373,plain,
( ! [X10: $int] :
( ~ $less($uminus(sF10),0)
| $less(0,0)
| $less($sum(X10,div1(0,sK1)),div1(abs1($uminus(sF10)),sK1))
| ~ $less(X10,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f24316,f347]) ).
tff(f24316,plain,
( ! [X16: $int,X17: $int] :
( $less($sum(X17,div1($sum($uminus(sF10),X16),sK1)),div1(X16,sK1))
| $less($sum($uminus(sF10),X16),0)
| ~ $less(X17,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f55,f23473]) ).
tff(f32003,plain,
( spl11_324
| spl11_325
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_278 ),
inference(avatar_split_clause,[],[f31985,f11316,f982,f264,f243,f191,f16459,f16456]) ).
tff(f16456,plain,
( spl11_324
<=> $less(-1,sF5) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_324])]) ).
tff(f16459,plain,
( spl11_325
<=> ! [X25: $int] :
( $less(sK1,X25)
| $less(X25,sF10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_325])]) ).
tff(f11316,plain,
( spl11_278
<=> $less($uminus(abs1(1)),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_278])]) ).
tff(f31985,plain,
( ! [X54: $int] :
( $less(sK1,X54)
| $less(-1,sF5)
| $less(X54,sF10) )
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_278 ),
inference(resolution,[],[f332,f16423]) ).
tff(f16423,plain,
( ! [X3: $int,X4: $int] :
( ~ $less(X3,-1)
| $less(X4,sF10)
| $less(X3,X4) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_278 ),
inference(evaluation,[],[f16418]) ).
tff(f16418,plain,
( ! [X3: $int,X4: $int] :
( ~ $less(X3,$uminus(1))
| $less(X4,sF10)
| $less(1,0)
| $less(X3,X4) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_278 ),
inference(superposition,[],[f15747,f126]) ).
tff(f15747,plain,
( ! [X4: $int,X5: $int] :
( ~ $less(X4,$uminus(abs1(1)))
| $less(X5,sF10)
| $less(X4,X5) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_278 ),
inference(resolution,[],[f11317,f8267]) ).
tff(f8267,plain,
( ! [X3: $int,X4: $int,X5: $int] :
( ~ $less(X4,0)
| ~ $less(X3,X4)
| $less(X3,X5)
| $less(X5,sF10) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(subsumption_resolution,[],[f8196,f53]) ).
tff(f8196,plain,
( ! [X3: $int,X4: $int,X5: $int] :
( ~ $less(X4,0)
| $less(X3,X5)
| ~ $less(X3,X4)
| $less(X5,sF10)
| ~ $less(X3,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f64,f8141]) ).
tff(f8141,plain,
( ! [X0: $int,X1: $int] :
( ( 0 = $sum(X1,1) )
| $less(X1,X0)
| $less(X0,sF10)
| ~ $less(X1,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(resolution,[],[f2687,f56]) ).
tff(f2687,plain,
( ! [X0: $int,X1: $int] :
( ~ $less(X1,$sum(X0,1))
| $less(X1,sF10)
| ~ $less(X0,0)
| ( 0 = $sum(X0,1) ) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(resolution,[],[f1472,f53]) ).
tff(f1472,plain,
( ! [X10: $int] :
( $less($sum(X10,1),sF10)
| ~ $less(X10,0)
| ( 0 = $sum(X10,1) ) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(resolution,[],[f1426,f64]) ).
tff(f11317,plain,
( $less($uminus(abs1(1)),0)
| ~ spl11_278 ),
inference(avatar_component_clause,[],[f11316]) ).
tff(f31602,plain,
( spl11_154
| spl11_191
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(avatar_split_clause,[],[f24378,f1726,f856,f239,f4785,f3454]) ).
tff(f4785,plain,
( spl11_191
<=> ! [X4: $int] :
( ~ $less($sum(sF4,X4),sF3)
| $less($sum(sF4,X4),0)
| $less(X4,0)
| $less($uminus(abs1(sF3)),$sum(sF4,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_191])]) ).
tff(f24378,plain,
( ! [X4: $int] :
( $less($uminus(abs1(sF3)),$sum(sF4,X4))
| ( 0 = sF3 )
| $less(X4,0)
| $less($sum(sF4,X4),0)
| ~ $less($sum(sF4,X4),sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f161,f4188]) ).
tff(f31550,plain,
( spl11_152
| ~ spl11_10
| ~ spl11_304 ),
inference(avatar_split_clause,[],[f31061,f14008,f224,f3439]) ).
tff(f3439,plain,
( spl11_152
<=> $less(sF5,sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_152])]) ).
tff(f31061,plain,
( $less(sF5,sF10)
| ~ spl11_10
| ~ spl11_304 ),
inference(resolution,[],[f14009,f362]) ).
tff(f31344,plain,
( spl11_152
| ~ spl11_138
| ~ spl11_299 ),
inference(avatar_split_clause,[],[f31052,f13676,f2816,f3439]) ).
tff(f31052,plain,
( $less(sF5,sF10)
| ~ spl11_138
| ~ spl11_299 ),
inference(resolution,[],[f13677,f2961]) ).
tff(f31271,plain,
( spl11_425
| ~ spl11_17
| ~ spl11_20
| ~ spl11_423 ),
inference(avatar_split_clause,[],[f31098,f23314,f301,f255,f23547]) ).
tff(f23547,plain,
( spl11_425
<=> $less(sF5,sF8) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_425])]) ).
tff(f31098,plain,
( $less(sF5,sF8)
| ~ spl11_17
| ~ spl11_20
| ~ spl11_423 ),
inference(subsumption_resolution,[],[f31086,f23315]) ).
tff(f31086,plain,
( ~ $less(1,sF7)
| $less(sF5,sF8)
| ~ spl11_17
| ~ spl11_20 ),
inference(superposition,[],[f422,f302]) ).
tff(f422,plain,
( ! [X19: $int] :
( $less($sum(X19,sK1),sF8)
| ~ $less(X19,sF7) )
| ~ spl11_17 ),
inference(superposition,[],[f55,f256]) ).
tff(f31169,plain,
( spl11_473
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_458 ),
inference(avatar_split_clause,[],[f31036,f29881,f982,f264,f191,f31167]) ).
tff(f31036,plain,
( $less($uminus($sum(1,abs1(sF3))),sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_458 ),
inference(forward_demodulation,[],[f31028,f47]) ).
tff(f31028,plain,
( $less($uminus($sum(abs1(sF3),1)),sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_458 ),
inference(resolution,[],[f30962,f326]) ).
tff(f30962,plain,
( ! [X1: $int] :
( ~ $less(abs1(sF3),X1)
| $less($uminus(X1),sF10) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_458 ),
inference(resolution,[],[f29906,f414]) ).
tff(f31100,plain,
( ~ spl11_470
| spl11_152
| ~ spl11_2
| ~ spl11_19
| ~ spl11_20
| spl11_58 ),
inference(avatar_split_clause,[],[f31093,f982,f301,f264,f191,f3439,f30813]) ).
tff(f30813,plain,
( spl11_470
<=> $less(1,$uminus(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_470])]) ).
tff(f31093,plain,
( $less(sF5,sF10)
| ~ $less(1,$uminus(sK1))
| ~ spl11_2
| ~ spl11_19
| ~ spl11_20
| spl11_58 ),
inference(superposition,[],[f29067,f302]) ).
tff(f30979,plain,
( spl11_472
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_438 ),
inference(avatar_split_clause,[],[f30957,f28359,f982,f264,f191,f30977]) ).
tff(f30977,plain,
( spl11_472
<=> $less($uminus($sum(1,abs1(sK1))),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_472])]) ).
tff(f30957,plain,
( $less($uminus($sum(1,abs1(sK1))),sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_438 ),
inference(forward_demodulation,[],[f30949,f47]) ).
tff(f30949,plain,
( $less($uminus($sum(abs1(sK1),1)),sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_438 ),
inference(resolution,[],[f30644,f326]) ).
tff(f30644,plain,
( ! [X1: $int] :
( ~ $less(abs1(sK1),X1)
| $less($uminus(X1),sF10) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_438 ),
inference(resolution,[],[f29352,f414]) ).
tff(f30937,plain,
( spl11_471
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f30933,f982,f264,f191,f30935]) ).
tff(f30933,plain,
( $less($uminus($sum(1,abs1(sF10))),sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f30925,f47]) ).
tff(f30925,plain,
( $less($uminus($sum(abs1(sF10),1)),sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(resolution,[],[f30521,f326]) ).
tff(f30521,plain,
( ! [X8: $int] :
( ~ $less(abs1(sF10),X8)
| $less($uminus(X8),sF10) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(resolution,[],[f29347,f29017]) ).
tff(f30815,plain,
( ~ spl11_470
| spl11_152
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f30727,f982,f264,f243,f191,f3439,f30813]) ).
tff(f30727,plain,
( $less(sF5,sF10)
| ~ $less(1,$uminus(sK1))
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f29200,f244]) ).
tff(f30733,plain,
( spl11_420
| ~ spl11_12
| ~ spl11_14
| ~ spl11_34 ),
inference(avatar_split_clause,[],[f30732,f590,f243,f235,f23069]) ).
tff(f30732,plain,
( $less(sF5,sF3)
| ~ spl11_12
| ~ spl11_14
| ~ spl11_34 ),
inference(subsumption_resolution,[],[f30708,f591]) ).
tff(f30708,plain,
( ~ $less(sK1,sK2)
| $less(sF5,sF3)
| ~ spl11_12
| ~ spl11_14 ),
inference(superposition,[],[f421,f244]) ).
tff(f421,plain,
( ! [X18: $int] :
( $less($sum(X18,1),sF3)
| ~ $less(X18,sK2) )
| ~ spl11_12 ),
inference(superposition,[],[f55,f236]) ).
tff(f30695,plain,
~ spl11_468,
inference(avatar_contradiction_clause,[],[f30694]) ).
tff(f30694,plain,
( $false
| ~ spl11_468 ),
inference(subsumption_resolution,[],[f30669,f52]) ).
tff(f30669,plain,
( $less(sK1,sK1)
| ~ spl11_468 ),
inference(superposition,[],[f326,f30605]) ).
tff(f30605,plain,
( ( sK1 = $sum(sK1,1) )
| ~ spl11_468 ),
inference(avatar_component_clause,[],[f30604]) ).
tff(f30604,plain,
( spl11_468
<=> ( sK1 = $sum(sK1,1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_468])]) ).
tff(f30662,plain,
( spl11_469
| ~ spl11_15
| ~ spl11_463 ),
inference(avatar_split_clause,[],[f30452,f30445,f247,f30660]) ).
tff(f30660,plain,
( spl11_469
<=> ( $product(sK1,sK1) = sF6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_469])]) ).
tff(f30445,plain,
( spl11_463
<=> ( sK1 = sF5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_463])]) ).
tff(f30452,plain,
( ( $product(sK1,sK1) = sF6 )
| ~ spl11_15
| ~ spl11_463 ),
inference(backward_demodulation,[],[f248,f30446]) ).
tff(f30446,plain,
( ( sK1 = sF5 )
| ~ spl11_463 ),
inference(avatar_component_clause,[],[f30445]) ).
tff(f30606,plain,
( spl11_468
| ~ spl11_14
| ~ spl11_463 ),
inference(avatar_split_clause,[],[f30451,f30445,f243,f30604]) ).
tff(f30451,plain,
( ( sK1 = $sum(sK1,1) )
| ~ spl11_14
| ~ spl11_463 ),
inference(backward_demodulation,[],[f244,f30446]) ).
tff(f30602,plain,
( ~ spl11_467
| spl11_344
| ~ spl11_463 ),
inference(avatar_split_clause,[],[f30495,f30445,f16945,f30600]) ).
tff(f30600,plain,
( spl11_467
<=> $less(sF6,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_467])]) ).
tff(f16945,plain,
( spl11_344
<=> $less(sF6,sF5) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_344])]) ).
tff(f30495,plain,
( ~ $less(sF6,sK1)
| spl11_344
| ~ spl11_463 ),
inference(backward_demodulation,[],[f16946,f30446]) ).
tff(f16946,plain,
( ~ $less(sF6,sF5)
| spl11_344 ),
inference(avatar_component_clause,[],[f16945]) ).
tff(f30598,plain,
( spl11_466
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f30576,f982,f264,f191,f30596]) ).
tff(f30596,plain,
( spl11_466
<=> $less($uminus($sum(1,abs1(0))),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_466])]) ).
tff(f30576,plain,
( $less($uminus($sum(1,abs1(0))),sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f30565,f47]) ).
tff(f30565,plain,
( $less($uminus($sum(abs1(0),1)),sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(resolution,[],[f30505,f326]) ).
tff(f30505,plain,
( ! [X1: $int] :
( ~ $less(abs1(0),X1)
| $less($uminus(X1),sF10) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(resolution,[],[f29347,f414]) ).
tff(f30580,plain,
( ~ spl11_465
| spl11_343
| ~ spl11_463 ),
inference(avatar_split_clause,[],[f30494,f30445,f16939,f30578]) ).
tff(f30578,plain,
( spl11_465
<=> $less(sF4,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_465])]) ).
tff(f16939,plain,
( spl11_343
<=> $less(sF4,sF5) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_343])]) ).
tff(f30494,plain,
( ~ $less(sF4,sK1)
| spl11_343
| ~ spl11_463 ),
inference(backward_demodulation,[],[f16940,f30446]) ).
tff(f16940,plain,
( ~ $less(sF4,sF5)
| spl11_343 ),
inference(avatar_component_clause,[],[f16939]) ).
tff(f30450,plain,
( spl11_463
| spl11_464
| spl11_300 ),
inference(avatar_split_clause,[],[f30347,f13680,f30448,f30445]) ).
tff(f30347,plain,
( $less(sK1,sF5)
| ( sK1 = sF5 )
| spl11_300 ),
inference(resolution,[],[f30287,f54]) ).
tff(f30288,plain,
( spl11_462
| ~ spl11_300
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_266 ),
inference(avatar_split_clause,[],[f29387,f9573,f982,f264,f191,f13680,f30285]) ).
tff(f29387,plain,
( ~ $less(sF5,sK1)
| $less(div1(sK1,sK1),sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_266 ),
inference(superposition,[],[f29317,f9574]) ).
tff(f30271,plain,
( spl11_461
| ~ spl11_13
| ~ spl11_47
| spl11_106
| ~ spl11_174 ),
inference(avatar_split_clause,[],[f29703,f4212,f1726,f856,f239,f30269]) ).
tff(f30269,plain,
( spl11_461
<=> ( 0 = mod1(abs1($uminus(sF4)),sF3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_461])]) ).
tff(f29703,plain,
( ( 0 = mod1(abs1($uminus(sF4)),sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| ~ spl11_174 ),
inference(subsumption_resolution,[],[f29702,f4213]) ).
tff(f29702,plain,
( ( 0 = mod1(abs1($uminus(sF4)),sF3) )
| ~ $less($uminus(sF4),0)
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(subsumption_resolution,[],[f29699,f857]) ).
tff(f29699,plain,
( ( 0 = mod1(abs1($uminus(sF4)),sF3) )
| ~ $less(0,sF3)
| ~ $less($uminus(sF4),0)
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(evaluation,[],[f29599]) ).
tff(f29599,plain,
( ~ $less(0,sF3)
| ~ $less($uminus(sF4),0)
| ( 0 = mod1(abs1($uminus(sF4)),sF3) )
| $less(0,0)
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f24239,f347]) ).
tff(f24239,plain,
( ! [X1: $int] :
( ( $sum($uminus(sF4),X1) = mod1(X1,sF3) )
| $less($sum($uminus(sF4),X1),0)
| ~ $less($sum($uminus(sF4),X1),sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(duplicate_literal_removal,[],[f24229]) ).
tff(f24229,plain,
( ! [X1: $int] :
( ~ $less($sum($uminus(sF4),X1),sF3)
| ( $sum($uminus(sF4),X1) = mod1(X1,sF3) )
| $less($sum($uminus(sF4),X1),0)
| $less($sum($uminus(sF4),X1),0) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f145,f23933]) ).
tff(f30245,plain,
( spl11_460
| ~ spl11_13
| ~ spl11_47
| spl11_106
| ~ spl11_172
| ~ spl11_182 ),
inference(avatar_split_clause,[],[f29816,f4626,f4205,f1726,f856,f239,f30243]) ).
tff(f30243,plain,
( spl11_460
<=> ( 0 = mod1(sF3,sF3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_460])]) ).
tff(f4205,plain,
( spl11_172
<=> ( mod1(sF4,sF3) = mod1(0,sF3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_172])]) ).
tff(f4626,plain,
( spl11_182
<=> ( mod1(sF3,sF3) = mod1(0,sF3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_182])]) ).
tff(f29816,plain,
( ( 0 = mod1(sF3,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| ~ spl11_172
| ~ spl11_182 ),
inference(backward_demodulation,[],[f4627,f29799]) ).
tff(f29799,plain,
( ( 0 = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| ~ spl11_172 ),
inference(backward_demodulation,[],[f4206,f29727]) ).
tff(f29727,plain,
( ( 0 = mod1(sF4,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(subsumption_resolution,[],[f29696,f857]) ).
tff(f29696,plain,
( ( 0 = mod1(sF4,sF3) )
| ~ $less(0,sF3)
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(evaluation,[],[f29600]) ).
tff(f29600,plain,
( ( 0 = mod1($uminus($uminus(sF4)),sF3) )
| ~ $less(0,sF3)
| $less(0,0)
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f24239,f51]) ).
tff(f4206,plain,
( ( mod1(sF4,sF3) = mod1(0,sF3) )
| ~ spl11_172 ),
inference(avatar_component_clause,[],[f4205]) ).
tff(f4627,plain,
( ( mod1(sF3,sF3) = mod1(0,sF3) )
| ~ spl11_182 ),
inference(avatar_component_clause,[],[f4626]) ).
tff(f30241,plain,
( spl11_459
| ~ spl11_372 ),
inference(avatar_split_clause,[],[f30237,f18215,f30239]) ).
tff(f30239,plain,
( spl11_459
<=> $less($uminus(abs1(-1)),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_459])]) ).
tff(f18215,plain,
( spl11_372
<=> $less($uminus(abs1($uminus(abs1(1)))),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_372])]) ).
tff(f30237,plain,
( $less($uminus(abs1(-1)),sF10)
| ~ spl11_372 ),
inference(evaluation,[],[f30225]) ).
tff(f30225,plain,
( $less(1,0)
| $less($uminus(abs1($uminus(1))),sF10)
| ~ spl11_372 ),
inference(superposition,[],[f18216,f126]) ).
tff(f18216,plain,
( $less($uminus(abs1($uminus(abs1(1)))),sF10)
| ~ spl11_372 ),
inference(avatar_component_clause,[],[f18215]) ).
tff(f30188,plain,
( spl11_154
| spl11_181
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(avatar_split_clause,[],[f23990,f1726,f856,f239,f4622,f3454]) ).
tff(f4622,plain,
( spl11_181
<=> ! [X1: $int] :
( $less(X1,0)
| ( $sum(X1,sF4) = $sum(mod1(X1,sF3),$product(sF3,div1($sum(X1,sF4),sF3))) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_181])]) ).
tff(f23990,plain,
( ! [X1: $int] :
( ( $sum(X1,sF4) = $sum(mod1(X1,sF3),$product(sF3,div1($sum(X1,sF4),sF3))) )
| ( 0 = sF3 )
| $less(X1,0) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(forward_demodulation,[],[f23977,f47]) ).
tff(f23977,plain,
( ! [X1: $int] :
( ( 0 = sF3 )
| $less(X1,0)
| ( $sum(X1,sF4) = $sum($product(sF3,div1($sum(X1,sF4),sF3)),mod1(X1,sF3)) ) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f128,f4186]) ).
tff(f29883,plain,
( spl11_458
| spl11_154
| ~ spl11_457 ),
inference(avatar_split_clause,[],[f29829,f29820,f3454,f29881]) ).
tff(f29829,plain,
( ( 0 = sF3 )
| $less(0,abs1(sF3))
| ~ spl11_457 ),
inference(superposition,[],[f160,f29821]) ).
tff(f29822,plain,
( spl11_457
| ~ spl11_13
| ~ spl11_47
| spl11_106
| ~ spl11_172 ),
inference(avatar_split_clause,[],[f29799,f4205,f1726,f856,f239,f29820]) ).
tff(f29803,plain,
( spl11_456
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(avatar_split_clause,[],[f29727,f1726,f856,f239,f29801]) ).
tff(f29574,plain,
( spl11_154
| spl11_455
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(avatar_split_clause,[],[f24230,f1726,f856,f239,f29572,f3454]) ).
tff(f29572,plain,
( spl11_455
<=> ! [X2: $int] :
( ~ $less(0,mod1(X2,sF3))
| $less(0,$sum($uminus(sF4),X2))
| $less($sum($uminus(sF4),X2),0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_455])]) ).
tff(f24230,plain,
( ! [X2: $int] :
( ~ $less(0,mod1(X2,sF3))
| $less($sum($uminus(sF4),X2),0)
| $less(0,$sum($uminus(sF4),X2))
| ( 0 = sF3 ) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f159,f23933]) ).
tff(f29570,plain,
( spl11_454
| ~ spl11_17
| ~ spl11_22
| ~ spl11_265 ),
inference(avatar_split_clause,[],[f29566,f9569,f309,f255,f29568]) ).
tff(f29566,plain,
( ( sF8 = $sum(sF8,div1(0,sK1)) )
| ~ spl11_17
| ~ spl11_22
| ~ spl11_265 ),
inference(forward_demodulation,[],[f29565,f310]) ).
tff(f29565,plain,
( ( $sum(sK1,sF7) = $sum(sF8,div1(0,sK1)) )
| ~ spl11_17
| ~ spl11_265 ),
inference(forward_demodulation,[],[f29511,f47]) ).
tff(f29511,plain,
( ( $sum(sF7,sK1) = $sum(sF8,div1(0,sK1)) )
| ~ spl11_17
| ~ spl11_265 ),
inference(superposition,[],[f450,f9570]) ).
tff(f29293,plain,
( spl11_453
| ~ spl11_2
| ~ spl11_12
| ~ spl11_19
| ~ spl11_21
| spl11_58
| spl11_106 ),
inference(avatar_split_clause,[],[f29274,f1726,f982,f305,f264,f235,f191,f29291]) ).
tff(f29274,plain,
( ( mod1($sum(sF3,sF10),sK1) = mod1(sF3,sK1) )
| ~ spl11_2
| ~ spl11_12
| ~ spl11_19
| ~ spl11_21
| spl11_58
| spl11_106 ),
inference(forward_demodulation,[],[f29273,f306]) ).
tff(f29273,plain,
( ( mod1($sum(sF3,sF10),sK1) = mod1($sum(1,sK2),sK1) )
| ~ spl11_2
| ~ spl11_12
| ~ spl11_19
| ~ spl11_21
| spl11_58
| spl11_106 ),
inference(forward_demodulation,[],[f29272,f47]) ).
tff(f29272,plain,
( ( mod1($sum(sF3,sF10),sK1) = mod1($sum(sK2,1),sK1) )
| ~ spl11_2
| ~ spl11_12
| ~ spl11_19
| ~ spl11_21
| spl11_58
| spl11_106 ),
inference(subsumption_resolution,[],[f29271,f3891]) ).
tff(f29271,plain,
( ( mod1($sum(sF3,sF10),sK1) = mod1($sum(sK2,1),sK1) )
| $less(sF3,0)
| ~ spl11_2
| ~ spl11_12
| ~ spl11_19
| ~ spl11_21
| spl11_58 ),
inference(forward_demodulation,[],[f29270,f306]) ).
tff(f29270,plain,
( $less($sum(1,sK2),0)
| ( mod1($sum(sF3,sF10),sK1) = mod1($sum(sK2,1),sK1) )
| ~ spl11_2
| ~ spl11_12
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f29259,f47]) ).
tff(f29259,plain,
( $less($sum(sK2,1),0)
| ( mod1($sum(sF3,sF10),sK1) = mod1($sum(sK2,1),sK1) )
| ~ spl11_2
| ~ spl11_12
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1180,f449]) ).
tff(f29195,plain,
( spl11_452
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| ~ spl11_20
| spl11_58
| spl11_292 ),
inference(avatar_split_clause,[],[f29173,f13375,f982,f301,f264,f243,f191,f29193]) ).
tff(f29173,plain,
( ( mod1($sum(sF5,sF10),sK1) = mod1(sF5,sK1) )
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| ~ spl11_20
| spl11_58
| spl11_292 ),
inference(forward_demodulation,[],[f29172,f302]) ).
tff(f29172,plain,
( ( mod1($sum(1,sK1),sK1) = mod1($sum(sF5,sF10),sK1) )
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| ~ spl11_20
| spl11_58
| spl11_292 ),
inference(forward_demodulation,[],[f29171,f47]) ).
tff(f29171,plain,
( ( mod1($sum(sK1,1),sK1) = mod1($sum(sF5,sF10),sK1) )
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| ~ spl11_20
| spl11_58
| spl11_292 ),
inference(subsumption_resolution,[],[f29170,f13376]) ).
tff(f29170,plain,
( $less(sF5,0)
| ( mod1($sum(sK1,1),sK1) = mod1($sum(sF5,sF10),sK1) )
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| ~ spl11_20
| spl11_58 ),
inference(forward_demodulation,[],[f29169,f302]) ).
tff(f29169,plain,
( $less($sum(1,sK1),0)
| ( mod1($sum(sK1,1),sK1) = mod1($sum(sF5,sF10),sK1) )
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f29143,f47]) ).
tff(f29143,plain,
( $less($sum(sK1,1),0)
| ( mod1($sum(sK1,1),sK1) = mod1($sum(sF5,sF10),sK1) )
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1180,f448]) ).
tff(f29191,plain,
( ~ spl11_451
| ~ spl11_449 ),
inference(avatar_split_clause,[],[f29100,f29004,f29189]) ).
tff(f29189,plain,
( spl11_451
<=> $less(sF10,$uminus(sF10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_451])]) ).
tff(f29100,plain,
( ~ $less(sF10,$uminus(sF10))
| ~ spl11_449 ),
inference(superposition,[],[f322,f29005]) ).
tff(f322,plain,
! [X0: $int] : ~ $less(abs1(X0),X0),
inference(resolution,[],[f149,f52]) ).
tff(f29187,plain,
( spl11_450
| ~ spl11_13
| ~ spl11_14
| ~ spl11_20
| ~ spl11_47
| spl11_106
| spl11_292 ),
inference(avatar_split_clause,[],[f29168,f13375,f1726,f856,f301,f243,f239,f29185]) ).
tff(f29168,plain,
( ( mod1($sum(sF4,sF5),sF3) = mod1(sF5,sF3) )
| ~ spl11_13
| ~ spl11_14
| ~ spl11_20
| ~ spl11_47
| spl11_106
| spl11_292 ),
inference(forward_demodulation,[],[f29167,f47]) ).
tff(f29167,plain,
( ( mod1($sum(sF5,sF4),sF3) = mod1(sF5,sF3) )
| ~ spl11_13
| ~ spl11_14
| ~ spl11_20
| ~ spl11_47
| spl11_106
| spl11_292 ),
inference(forward_demodulation,[],[f29166,f302]) ).
tff(f29166,plain,
( ( mod1($sum(sF5,sF4),sF3) = mod1($sum(1,sK1),sF3) )
| ~ spl11_13
| ~ spl11_14
| ~ spl11_20
| ~ spl11_47
| spl11_106
| spl11_292 ),
inference(subsumption_resolution,[],[f29165,f13376]) ).
tff(f29165,plain,
( ( mod1($sum(sF5,sF4),sF3) = mod1($sum(1,sK1),sF3) )
| $less(sF5,0)
| ~ spl11_13
| ~ spl11_14
| ~ spl11_20
| ~ spl11_47
| spl11_106 ),
inference(forward_demodulation,[],[f29164,f302]) ).
tff(f29164,plain,
( $less($sum(1,sK1),0)
| ( mod1($sum(sF5,sF4),sF3) = mod1($sum(1,sK1),sF3) )
| ~ spl11_13
| ~ spl11_14
| ~ spl11_47
| spl11_106 ),
inference(forward_demodulation,[],[f29163,f47]) ).
tff(f29163,plain,
( ( mod1($sum(sF5,sF4),sF3) = mod1($sum(sK1,1),sF3) )
| $less($sum(1,sK1),0)
| ~ spl11_13
| ~ spl11_14
| ~ spl11_47
| spl11_106 ),
inference(forward_demodulation,[],[f29144,f47]) ).
tff(f29144,plain,
( $less($sum(sK1,1),0)
| ( mod1($sum(sF5,sF4),sF3) = mod1($sum(sK1,1),sF3) )
| ~ spl11_13
| ~ spl11_14
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f4219,f448]) ).
tff(f29006,plain,
( spl11_449
| spl11_53
| ~ spl11_19
| ~ spl11_443
| ~ spl11_444 ),
inference(avatar_split_clause,[],[f28990,f28857,f28853,f264,f951,f29004]) ).
tff(f28853,plain,
( spl11_443
<=> ( 0 = mod1(abs1($uminus(sF10)),sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_443])]) ).
tff(f28857,plain,
( spl11_444
<=> ( div1(abs1($uminus(sF10)),sK1) = sK1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_444])]) ).
tff(f28990,plain,
( ( 0 = sK1 )
| ( sF10 = abs1($uminus(sF10)) )
| ~ spl11_19
| ~ spl11_443
| ~ spl11_444 ),
inference(forward_demodulation,[],[f28989,f265]) ).
tff(f28989,plain,
( ( 0 = sK1 )
| ( $product(sK1,sK1) = abs1($uminus(sF10)) )
| ~ spl11_443
| ~ spl11_444 ),
inference(forward_demodulation,[],[f28988,f49]) ).
tff(f28988,plain,
( ( 0 = sK1 )
| ( $sum($product(sK1,sK1),0) = abs1($uminus(sF10)) )
| ~ spl11_443
| ~ spl11_444 ),
inference(forward_demodulation,[],[f28963,f28854]) ).
tff(f28854,plain,
( ( 0 = mod1(abs1($uminus(sF10)),sK1) )
| ~ spl11_443 ),
inference(avatar_component_clause,[],[f28853]) ).
tff(f28963,plain,
( ( 0 = sK1 )
| ( $sum($product(sK1,sK1),mod1(abs1($uminus(sF10)),sK1)) = abs1($uminus(sF10)) )
| ~ spl11_444 ),
inference(superposition,[],[f128,f28858]) ).
tff(f28858,plain,
( ( div1(abs1($uminus(sF10)),sK1) = sK1 )
| ~ spl11_444 ),
inference(avatar_component_clause,[],[f28857]) ).
tff(f29002,plain,
( spl11_448
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_225
| ~ spl11_444 ),
inference(avatar_split_clause,[],[f28987,f28857,f6196,f982,f264,f191,f28999]) ).
tff(f28999,plain,
( spl11_448
<=> $less(0,$sum(sF10,abs1($uminus(sF10)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_448])]) ).
tff(f6196,plain,
( spl11_225
<=> $less(0,$sum(sK1,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_225])]) ).
tff(f28987,plain,
( $less(0,$sum(sF10,abs1($uminus(sF10))))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_225
| ~ spl11_444 ),
inference(subsumption_resolution,[],[f28986,f9874]) ).
tff(f9874,plain,
( $less(0,$sum(sK1,sK1))
| ~ spl11_225 ),
inference(avatar_component_clause,[],[f6196]) ).
tff(f28986,plain,
( $less(0,$sum(sF10,abs1($uminus(sF10))))
| ~ $less(0,$sum(sK1,sK1))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_444 ),
inference(subsumption_resolution,[],[f28951,f155]) ).
tff(f155,plain,
! [X0: $int] : ~ $less(abs1(X0),0),
inference(cnf_transformation,[],[f71]) ).
tff(f71,plain,
! [X0: $int] : ~ $less(abs1(X0),0),
inference(rectify,[],[f35]) ).
tff(f35,plain,
! [X1: $int] : ~ $less(abs1(X1),0),
inference(theory_normalization,[],[f11]) ).
tff(f11,axiom,
! [X1: $int] : $lesseq(0,abs1(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abs_pos) ).
tff(f28951,plain,
( $less(abs1($uminus(sF10)),0)
| ~ $less(0,$sum(sK1,sK1))
| $less(0,$sum(sF10,abs1($uminus(sF10))))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_444 ),
inference(superposition,[],[f1154,f28858]) ).
tff(f29001,plain,
( spl11_448
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_225
| ~ spl11_444 ),
inference(avatar_split_clause,[],[f28985,f28857,f6196,f982,f264,f191,f28999]) ).
tff(f28985,plain,
( $less(0,$sum(sF10,abs1($uminus(sF10))))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_225
| ~ spl11_444 ),
inference(forward_demodulation,[],[f28984,f47]) ).
tff(f28984,plain,
( $less(0,$sum(abs1($uminus(sF10)),sF10))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_225
| ~ spl11_444 ),
inference(subsumption_resolution,[],[f28983,f9874]) ).
tff(f28983,plain,
( $less(0,$sum(abs1($uminus(sF10)),sF10))
| ~ $less(0,$sum(sK1,sK1))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_444 ),
inference(subsumption_resolution,[],[f28956,f155]) ).
tff(f28956,plain,
( $less(0,$sum(abs1($uminus(sF10)),sF10))
| $less(abs1($uminus(sF10)),0)
| ~ $less(0,$sum(sK1,sK1))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_444 ),
inference(superposition,[],[f1225,f28858]) ).
tff(f1225,plain,
( ! [X6: $int] :
( ~ $less(0,$sum(sK1,div1(X6,sK1)))
| $less(0,$sum(X6,sF10))
| $less(X6,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(subsumption_resolution,[],[f1219,f192]) ).
tff(f1219,plain,
( ! [X6: $int] :
( $less(X6,0)
| ~ $less(0,$sum(sK1,div1(X6,sK1)))
| ~ $less(0,sK1)
| $less(0,$sum(X6,sF10)) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f140,f1143]) ).
tff(f28997,plain,
( spl11_447
| ~ spl11_2
| ~ spl11_444 ),
inference(avatar_split_clause,[],[f28973,f28857,f191,f28995]) ).
tff(f28995,plain,
( spl11_447
<=> $less(0,abs1($uminus(sF10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_447])]) ).
tff(f28973,plain,
( $less(0,abs1($uminus(sF10)))
| ~ spl11_2
| ~ spl11_444 ),
inference(subsumption_resolution,[],[f28970,f192]) ).
tff(f28970,plain,
( $less(0,abs1($uminus(sF10)))
| ~ $less(0,sK1)
| ~ spl11_444 ),
inference(duplicate_literal_removal,[],[f28964]) ).
tff(f28964,plain,
( $less(0,abs1($uminus(sF10)))
| ~ $less(0,sK1)
| ~ $less(0,sK1)
| ~ spl11_444 ),
inference(superposition,[],[f140,f28858]) ).
tff(f28942,plain,
( ~ spl11_446
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_68 ),
inference(avatar_split_clause,[],[f28823,f1173,f982,f264,f191,f28940]) ).
tff(f28940,plain,
( spl11_446
<=> $less(div1(abs1($uminus(sF10)),sK1),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_446])]) ).
tff(f28823,plain,
( ~ $less(div1(abs1($uminus(sF10)),sK1),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_68 ),
inference(subsumption_resolution,[],[f28822,f1174]) ).
tff(f28822,plain,
( ~ $less($uminus(sF10),0)
| ~ $less(div1(abs1($uminus(sF10)),sK1),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(subsumption_resolution,[],[f28804,f155]) ).
tff(f28804,plain,
( ~ $less(div1(abs1($uminus(sF10)),sK1),0)
| $less(abs1($uminus(sF10)),0)
| ~ $less($uminus(sF10),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(evaluation,[],[f28731]) ).
tff(f28731,plain,
( $less(abs1($uminus(sF10)),0)
| ~ $less(div1(abs1($uminus(sF10)),sK1),0)
| ~ $less($uminus(sF10),0)
| $less(0,0)
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f24367,f347]) ).
tff(f24367,plain,
( ! [X3: $int] :
( $less($sum($uminus(sF10),X3),0)
| $less(X3,0)
| ~ $less(div1(X3,sK1),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f24320,f465]) ).
tff(f24320,plain,
( ! [X3: $int] :
( $less($sum($uminus(sF10),X3),0)
| ~ $less(div1(X3,sK1),0)
| $less($sum(sF10,$sum($uminus(sF10),X3)),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(duplicate_literal_removal,[],[f24306]) ).
tff(f24306,plain,
( ! [X3: $int] :
( $less($sum($uminus(sF10),X3),0)
| $less($sum(sF10,$sum($uminus(sF10),X3)),0)
| $less($sum($uminus(sF10),X3),0)
| ~ $less(div1(X3,sK1),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1155,f23473]) ).
tff(f28911,plain,
( spl11_443
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_68 ),
inference(avatar_split_clause,[],[f28816,f1173,f982,f264,f191,f28853]) ).
tff(f28816,plain,
( ( 0 = mod1(abs1($uminus(sF10)),sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_68 ),
inference(subsumption_resolution,[],[f28815,f1174]) ).
tff(f28815,plain,
( ( 0 = mod1(abs1($uminus(sF10)),sK1) )
| ~ $less($uminus(sF10),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(subsumption_resolution,[],[f28807,f192]) ).
tff(f28807,plain,
( ~ $less(0,sK1)
| ~ $less($uminus(sF10),0)
| ( 0 = mod1(abs1($uminus(sF10)),sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(evaluation,[],[f28727]) ).
tff(f28727,plain,
( $less(0,0)
| ~ $less(0,sK1)
| ~ $less($uminus(sF10),0)
| ( 0 = mod1(abs1($uminus(sF10)),sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f23656,f347]) ).
tff(f23656,plain,
( ! [X4: $int] :
( ( $sum($uminus(sF10),X4) = mod1(X4,sK1) )
| $less($sum($uminus(sF10),X4),0)
| ~ $less($sum($uminus(sF10),X4),sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(duplicate_literal_removal,[],[f23650]) ).
tff(f23650,plain,
( ! [X4: $int] :
( ( $sum($uminus(sF10),X4) = mod1(X4,sK1) )
| $less($sum($uminus(sF10),X4),0)
| ~ $less($sum($uminus(sF10),X4),sK1)
| $less($sum($uminus(sF10),X4),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f145,f23472]) ).
tff(f28910,plain,
( spl11_445
| ~ spl11_13
| ~ spl11_47
| spl11_106
| ~ spl11_174 ),
inference(avatar_split_clause,[],[f28832,f4212,f1726,f856,f239,f28908]) ).
tff(f28908,plain,
( spl11_445
<=> ( mod1(abs1($uminus(sF4)),sF3) = mod1(0,sF3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_445])]) ).
tff(f28832,plain,
( ( mod1(abs1($uminus(sF4)),sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| ~ spl11_174 ),
inference(subsumption_resolution,[],[f28791,f4213]) ).
tff(f28791,plain,
( ~ $less($uminus(sF4),0)
| ( mod1(abs1($uminus(sF4)),sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(evaluation,[],[f28757]) ).
tff(f28757,plain,
( ~ $less($uminus(sF4),0)
| ( mod1(abs1($uminus(sF4)),sF3) = mod1(0,sF3) )
| $less(0,0)
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f23933,f347]) ).
tff(f28859,plain,
( spl11_444
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_68
| ~ spl11_265 ),
inference(avatar_split_clause,[],[f28820,f9569,f1173,f982,f264,f191,f28857]) ).
tff(f28820,plain,
( ( div1(abs1($uminus(sF10)),sK1) = sK1 )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_68
| ~ spl11_265 ),
inference(forward_demodulation,[],[f28819,f9570]) ).
tff(f28819,plain,
( ( div1(abs1($uminus(sF10)),sK1) = $sum(sK1,div1(0,sK1)) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_68 ),
inference(subsumption_resolution,[],[f28805,f1174]) ).
tff(f28805,plain,
( ~ $less($uminus(sF10),0)
| ( div1(abs1($uminus(sF10)),sK1) = $sum(sK1,div1(0,sK1)) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(evaluation,[],[f28725]) ).
tff(f28725,plain,
( ( div1(abs1($uminus(sF10)),sK1) = $sum(sK1,div1(0,sK1)) )
| ~ $less($uminus(sF10),0)
| $less(0,0)
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f23473,f347]) ).
tff(f28855,plain,
( spl11_443
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_68
| ~ spl11_437 ),
inference(avatar_split_clause,[],[f28818,f28279,f1173,f982,f264,f191,f28853]) ).
tff(f28818,plain,
( ( 0 = mod1(abs1($uminus(sF10)),sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_68
| ~ spl11_437 ),
inference(forward_demodulation,[],[f28817,f28280]) ).
tff(f28817,plain,
( ( mod1(abs1($uminus(sF10)),sK1) = mod1(0,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_68 ),
inference(subsumption_resolution,[],[f28806,f1174]) ).
tff(f28806,plain,
( ( mod1(abs1($uminus(sF10)),sK1) = mod1(0,sK1) )
| ~ $less($uminus(sF10),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(evaluation,[],[f28724]) ).
tff(f28724,plain,
( $less(0,0)
| ( mod1(abs1($uminus(sF10)),sK1) = mod1(0,sK1) )
| ~ $less($uminus(sF10),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f23472,f347]) ).
tff(f28845,plain,
( ~ spl11_442
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_68
| ~ spl11_265 ),
inference(avatar_split_clause,[],[f28828,f9569,f1173,f982,f264,f191,f28843]) ).
tff(f28843,plain,
( spl11_442
<=> $less(abs1($uminus(sF10)),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_442])]) ).
tff(f28828,plain,
( ~ $less(abs1($uminus(sF10)),sK1)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_68
| ~ spl11_265 ),
inference(forward_demodulation,[],[f28827,f9570]) ).
tff(f28827,plain,
( ~ $less(abs1($uminus(sF10)),$sum(sK1,div1(0,sK1)))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_68 ),
inference(subsumption_resolution,[],[f28826,f155]) ).
tff(f28826,plain,
( ~ $less(abs1($uminus(sF10)),$sum(sK1,div1(0,sK1)))
| $less(abs1($uminus(sF10)),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_68 ),
inference(subsumption_resolution,[],[f28801,f1174]) ).
tff(f28801,plain,
( ~ $less(abs1($uminus(sF10)),$sum(sK1,div1(0,sK1)))
| ~ $less($uminus(sF10),0)
| $less(abs1($uminus(sF10)),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(evaluation,[],[f28726]) ).
tff(f28726,plain,
( $less(abs1($uminus(sF10)),0)
| ~ $less(abs1($uminus(sF10)),$sum(sK1,div1(0,sK1)))
| $less(0,0)
| ~ $less($uminus(sF10),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f23474,f347]) ).
tff(f23474,plain,
( ! [X71: $int] :
( ~ $less(X71,$sum(sK1,div1($sum($uminus(sF10),X71),sK1)))
| $less($sum($uminus(sF10),X71),0)
| $less(X71,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1153,f465]) ).
tff(f28841,plain,
( spl11_441
| ~ spl11_68
| ~ spl11_162 ),
inference(avatar_split_clause,[],[f28687,f3750,f1173,f28839]) ).
tff(f28839,plain,
( spl11_441
<=> $less($uminus(abs1(sF10)),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_441])]) ).
tff(f3750,plain,
( spl11_162
<=> $less($uminus(abs1(abs1($uminus(sF10)))),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_162])]) ).
tff(f28687,plain,
( $less($uminus(abs1(sF10)),sF10)
| ~ spl11_68
| ~ spl11_162 ),
inference(subsumption_resolution,[],[f28650,f1174]) ).
tff(f28650,plain,
( ~ $less($uminus(sF10),0)
| $less($uminus(abs1(sF10)),sF10)
| ~ spl11_162 ),
inference(superposition,[],[f3751,f345]) ).
tff(f3751,plain,
( $less($uminus(abs1(abs1($uminus(sF10)))),sF10)
| ~ spl11_162 ),
inference(avatar_component_clause,[],[f3750]) ).
tff(f28837,plain,
( spl11_440
| ~ spl11_174
| ~ spl11_201 ),
inference(avatar_split_clause,[],[f28684,f4961,f4212,f28835]) ).
tff(f28835,plain,
( spl11_440
<=> $less($uminus(abs1(sF4)),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_440])]) ).
tff(f4961,plain,
( spl11_201
<=> $less($uminus(abs1(abs1($uminus(sF4)))),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_201])]) ).
tff(f28684,plain,
( $less($uminus(abs1(sF4)),sF10)
| ~ spl11_174
| ~ spl11_201 ),
inference(subsumption_resolution,[],[f28641,f4213]) ).
tff(f28641,plain,
( ~ $less($uminus(sF4),0)
| $less($uminus(abs1(sF4)),sF10)
| ~ spl11_201 ),
inference(superposition,[],[f4962,f345]) ).
tff(f4962,plain,
( $less($uminus(abs1(abs1($uminus(sF4)))),sF10)
| ~ spl11_201 ),
inference(avatar_component_clause,[],[f4961]) ).
tff(f28427,plain,
( spl11_439
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_64
| ~ spl11_116 ),
inference(avatar_split_clause,[],[f28274,f1979,f1158,f982,f264,f191,f28425]) ).
tff(f1158,plain,
( spl11_64
<=> ( mod1(sF10,sK1) = mod1(0,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_64])]) ).
tff(f1979,plain,
( spl11_116
<=> ( mod1(0,sK1) = mod1(sK1,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_116])]) ).
tff(f28274,plain,
( ( 0 = mod1(sK1,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_64
| ~ spl11_116 ),
inference(backward_demodulation,[],[f1980,f28269]) ).
tff(f28269,plain,
( ( 0 = mod1(0,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_64 ),
inference(backward_demodulation,[],[f1159,f28183]) ).
tff(f28183,plain,
( ( 0 = mod1(sF10,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(subsumption_resolution,[],[f28158,f192]) ).
tff(f28158,plain,
( ~ $less(0,sK1)
| ( 0 = mod1(sF10,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(evaluation,[],[f28040]) ).
tff(f28040,plain,
( $less(0,0)
| ~ $less(0,sK1)
| ( 0 = mod1($uminus($uminus(sF10)),sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f23656,f51]) ).
tff(f1159,plain,
( ( mod1(sF10,sK1) = mod1(0,sK1) )
| ~ spl11_64 ),
inference(avatar_component_clause,[],[f1158]) ).
tff(f1980,plain,
( ( mod1(0,sK1) = mod1(sK1,sK1) )
| ~ spl11_116 ),
inference(avatar_component_clause,[],[f1979]) ).
tff(f28361,plain,
( spl11_438
| spl11_53
| ~ spl11_437 ),
inference(avatar_split_clause,[],[f28288,f28279,f951,f28359]) ).
tff(f28288,plain,
( ( 0 = sK1 )
| $less(0,abs1(sK1))
| ~ spl11_437 ),
inference(superposition,[],[f160,f28280]) ).
tff(f28281,plain,
( spl11_437
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_64 ),
inference(avatar_split_clause,[],[f28269,f1158,f982,f264,f191,f28279]) ).
tff(f28273,plain,
( spl11_436
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f28183,f982,f264,f191,f28271]) ).
tff(f28032,plain,
( spl11_53
| spl11_435
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f23651,f982,f264,f191,f28030,f951]) ).
tff(f28030,plain,
( spl11_435
<=> ! [X5: $int] :
( $less(0,$sum($uminus(sF10),X5))
| ~ $less(0,mod1(X5,sK1))
| $less($sum($uminus(sF10),X5),0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_435])]) ).
tff(f23651,plain,
( ! [X5: $int] :
( $less(0,$sum($uminus(sF10),X5))
| $less($sum($uminus(sF10),X5),0)
| ~ $less(0,mod1(X5,sK1))
| ( 0 = sK1 ) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f159,f23472]) ).
tff(f27482,plain,
( spl11_154
| spl11_207
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(avatar_split_clause,[],[f25548,f1726,f856,f239,f5134,f3454]) ).
tff(f5134,plain,
( spl11_207
<=> ! [X4: $int] :
( ~ $less(mod1(X4,sF3),0)
| $less($sum(X4,$uminus(sF4)),0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_207])]) ).
tff(f25548,plain,
( ! [X7: $int] :
( ~ $less(mod1(X7,sF3),0)
| ( 0 = sF3 )
| $less($sum(X7,$uminus(sF4)),0) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(duplicate_literal_removal,[],[f25540]) ).
tff(f25540,plain,
( ! [X7: $int] :
( ~ $less(mod1(X7,sF3),0)
| $less($sum(X7,$uminus(sF4)),0)
| ( 0 = sF3 )
| $less($sum(X7,$uminus(sF4)),0) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f163,f24217]) ).
tff(f24217,plain,
( ! [X1: $int] :
( ( mod1(X1,sF3) = mod1($sum(X1,$uminus(sF4)),sF3) )
| $less($sum(X1,$uminus(sF4)),0) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f23933,f47]) ).
tff(f163,plain,
! [X0: $int,X1: $int] :
( ~ $less(mod1(X1,X0),0)
| $less(X1,0)
| ( 0 = X0 ) ),
inference(cnf_transformation,[],[f103]) ).
tff(f103,plain,
! [X1: $int,X0: $int] :
( $less(X1,0)
| ~ $less(mod1(X1,X0),0)
| ( 0 = X0 ) ),
inference(flattening,[],[f102]) ).
tff(f102,plain,
! [X0: $int,X1: $int] :
( ~ $less(mod1(X1,X0),0)
| ( 0 = X0 )
| $less(X1,0) ),
inference(ennf_transformation,[],[f75]) ).
tff(f75,plain,
! [X0: $int,X1: $int] :
( ( ( 0 != X0 )
& ~ $less(X1,0) )
=> ~ $less(mod1(X1,X0),0) ),
inference(rectify,[],[f38]) ).
tff(f38,plain,
! [X7: $int,X1: $int] :
( ( ( 0 != X7 )
& ~ $less(X1,0) )
=> ~ $less(mod1(X1,X7),0) ),
inference(theory_normalization,[],[f17]) ).
tff(f17,axiom,
! [X7: $int,X1: $int] :
( ( ( 0 != X7 )
& $lesseq(0,X1) )
=> $lesseq(0,mod1(X1,X7)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mod_sign_pos) ).
tff(f27481,plain,
( spl11_53
| spl11_161
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f24863,f982,f264,f191,f3741,f951]) ).
tff(f3741,plain,
( spl11_161
<=> ! [X4: $int] :
( $less($sum(X4,$uminus(sF10)),0)
| ~ $less(mod1(X4,sK1),0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_161])]) ).
tff(f24863,plain,
( ! [X8: $int] :
( ~ $less(mod1(X8,sK1),0)
| ( 0 = sK1 )
| $less($sum(X8,$uminus(sF10)),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(duplicate_literal_removal,[],[f24861]) ).
tff(f24861,plain,
( ! [X8: $int] :
( $less($sum(X8,$uminus(sF10)),0)
| ~ $less(mod1(X8,sK1),0)
| $less($sum(X8,$uminus(sF10)),0)
| ( 0 = sK1 ) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f163,f23631]) ).
tff(f23631,plain,
( ! [X1: $int] :
( ( mod1(X1,sK1) = mod1($sum(X1,$uminus(sF10)),sK1) )
| $less($sum(X1,$uminus(sF10)),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f23472,f47]) ).
tff(f27288,plain,
( spl11_240
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_225 ),
inference(avatar_split_clause,[],[f26938,f6196,f982,f264,f191,f7055]) ).
tff(f7055,plain,
( spl11_240
<=> ! [X0: $int] :
( $less(0,$sum(sF10,$sum(X0,sF10)))
| $less(X0,0)
| ~ $less(X0,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_240])]) ).
tff(f26938,plain,
( ! [X9: $int] :
( ~ $less(X9,sK1)
| $less(0,$sum(sF10,$sum(X9,sF10)))
| $less(X9,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_225 ),
inference(forward_demodulation,[],[f26937,f47]) ).
tff(f26937,plain,
( ! [X9: $int] :
( ~ $less(X9,sK1)
| $less(X9,0)
| $less(0,$sum($sum(X9,sF10),sF10)) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_225 ),
inference(subsumption_resolution,[],[f26936,f1530]) ).
tff(f1530,plain,
( ! [X0: $int] :
( ~ $less($sum(X0,sF10),0)
| ~ $less(X0,sK1)
| $less(X0,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1395,f47]) ).
tff(f1395,plain,
( ! [X1: $int] :
( ~ $less($sum(sF10,X1),0)
| ~ $less(X1,sK1)
| $less(X1,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(resolution,[],[f1321,f52]) ).
tff(f26936,plain,
( ! [X9: $int] :
( $less($sum(X9,sF10),0)
| ~ $less(X9,sK1)
| $less(X9,0)
| $less(0,$sum($sum(X9,sF10),sF10)) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_225 ),
inference(subsumption_resolution,[],[f26906,f9874]) ).
tff(f26906,plain,
( ! [X9: $int] :
( $less($sum(X9,sF10),0)
| ~ $less(0,$sum(sK1,sK1))
| $less(0,$sum($sum(X9,sF10),sF10))
| ~ $less(X9,sK1)
| $less(X9,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1225,f26793]) ).
tff(f26793,plain,
( ! [X0: $int] :
( ( div1($sum(X0,sF10),sK1) = sK1 )
| ~ $less(X0,sK1)
| $less(X0,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f26734,f47]) ).
tff(f26734,plain,
( ! [X5: $int] :
( ( div1($sum(sF10,X5),sK1) = sK1 )
| $less(X5,0)
| ~ $less(X5,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(evaluation,[],[f26730]) ).
tff(f26730,plain,
( ! [X5: $int] :
( ~ $less(X5,sK1)
| ( div1($sum($uminus($uminus(sF10)),X5),sK1) = sK1 )
| $less(X5,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f24349,f465]) ).
tff(f24349,plain,
( ! [X1: $int] :
( ~ $less($sum($uminus(sF10),X1),sK1)
| $less($sum($uminus(sF10),X1),0)
| ( sK1 = div1(X1,sK1) ) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f24333,f49]) ).
tff(f24333,plain,
( ! [X1: $int] :
( ( $sum(sK1,0) = div1(X1,sK1) )
| $less($sum($uminus(sF10),X1),0)
| ~ $less($sum($uminus(sF10),X1),sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(duplicate_literal_removal,[],[f24300]) ).
tff(f24300,plain,
( ! [X1: $int] :
( ( $sum(sK1,0) = div1(X1,sK1) )
| $less($sum($uminus(sF10),X1),0)
| ~ $less($sum($uminus(sF10),X1),sK1)
| $less($sum($uminus(sF10),X1),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f23473,f156]) ).
tff(f27287,plain,
( spl11_240
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_225 ),
inference(avatar_split_clause,[],[f26935,f6196,f982,f264,f191,f7055]) ).
tff(f26935,plain,
( ! [X4: $int] :
( $less(0,$sum(sF10,$sum(X4,sF10)))
| $less(X4,0)
| ~ $less(X4,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_225 ),
inference(subsumption_resolution,[],[f26934,f1530]) ).
tff(f26934,plain,
( ! [X4: $int] :
( $less(X4,0)
| ~ $less(X4,sK1)
| $less($sum(X4,sF10),0)
| $less(0,$sum(sF10,$sum(X4,sF10))) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_225 ),
inference(subsumption_resolution,[],[f26901,f9874]) ).
tff(f26901,plain,
( ! [X4: $int] :
( $less(0,$sum(sF10,$sum(X4,sF10)))
| ~ $less(0,$sum(sK1,sK1))
| ~ $less(X4,sK1)
| $less(X4,0)
| $less($sum(X4,sF10),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1154,f26793]) ).
tff(f27161,plain,
( spl11_226
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_225 ),
inference(avatar_split_clause,[],[f26850,f6196,f982,f264,f191,f6199]) ).
tff(f6199,plain,
( spl11_226
<=> ! [X0: $int] :
( ~ $less(X0,sK1)
| $less(0,$sum(sF10,$sum(sF10,X0)))
| $less(X0,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_226])]) ).
tff(f26850,plain,
( ! [X4: $int] :
( $less(X4,0)
| $less(0,$sum(sF10,$sum(sF10,X4)))
| ~ $less(X4,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_225 ),
inference(subsumption_resolution,[],[f26849,f1395]) ).
tff(f26849,plain,
( ! [X4: $int] :
( $less($sum(sF10,X4),0)
| $less(X4,0)
| ~ $less(X4,sK1)
| $less(0,$sum(sF10,$sum(sF10,X4))) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_225 ),
inference(subsumption_resolution,[],[f26810,f9874]) ).
tff(f26810,plain,
( ! [X4: $int] :
( $less(X4,0)
| $less(0,$sum(sF10,$sum(sF10,X4)))
| $less($sum(sF10,X4),0)
| ~ $less(0,$sum(sK1,sK1))
| ~ $less(X4,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1154,f26734]) ).
tff(f27160,plain,
( spl11_226
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_225 ),
inference(avatar_split_clause,[],[f26841,f6196,f982,f264,f191,f6199]) ).
tff(f26841,plain,
( ! [X9: $int] :
( ~ $less(X9,sK1)
| $less(0,$sum(sF10,$sum(sF10,X9)))
| $less(X9,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_225 ),
inference(forward_demodulation,[],[f26840,f47]) ).
tff(f26840,plain,
( ! [X9: $int] :
( $less(0,$sum($sum(sF10,X9),sF10))
| ~ $less(X9,sK1)
| $less(X9,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_225 ),
inference(subsumption_resolution,[],[f26839,f1395]) ).
tff(f26839,plain,
( ! [X9: $int] :
( ~ $less(X9,sK1)
| $less(X9,0)
| $less($sum(sF10,X9),0)
| $less(0,$sum($sum(sF10,X9),sF10)) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_225 ),
inference(subsumption_resolution,[],[f26815,f9874]) ).
tff(f26815,plain,
( ! [X9: $int] :
( ~ $less(X9,sK1)
| ~ $less(0,$sum(sK1,sK1))
| $less($sum(sF10,X9),0)
| $less(0,$sum($sum(sF10,X9),sF10))
| $less(X9,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1225,f26734]) ).
tff(f26716,plain,
( spl11_283
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_64
| spl11_160
| ~ spl11_280 ),
inference(avatar_split_clause,[],[f26650,f12122,f3727,f1158,f982,f264,f191,f12378]) ).
tff(f12378,plain,
( spl11_283
<=> ( mod1(mod1(0,sK1),sK1) = mod1(0,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_283])]) ).
tff(f3727,plain,
( spl11_160
<=> $less(mod1(0,sK1),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_160])]) ).
tff(f12122,plain,
( spl11_280
<=> ( sF10 = $sum(sF10,mod1(0,sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_280])]) ).
tff(f26650,plain,
( ( mod1(mod1(0,sK1),sK1) = mod1(0,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_64
| spl11_160
| ~ spl11_280 ),
inference(forward_demodulation,[],[f26649,f1159]) ).
tff(f26649,plain,
( ( mod1(mod1(0,sK1),sK1) = mod1(sF10,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_160
| ~ spl11_280 ),
inference(subsumption_resolution,[],[f26624,f3728]) ).
tff(f3728,plain,
( ~ $less(mod1(0,sK1),0)
| spl11_160 ),
inference(avatar_component_clause,[],[f3727]) ).
tff(f26624,plain,
( ( mod1(mod1(0,sK1),sK1) = mod1(sF10,sK1) )
| $less(mod1(0,sK1),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_280 ),
inference(superposition,[],[f1116,f12123]) ).
tff(f12123,plain,
( ( sF10 = $sum(sF10,mod1(0,sK1)) )
| ~ spl11_280 ),
inference(avatar_component_clause,[],[f12122]) ).
tff(f26715,plain,
( ~ spl11_281
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74
| spl11_160
| ~ spl11_280 ),
inference(avatar_split_clause,[],[f26646,f12122,f3727,f1276,f982,f264,f191,f12370]) ).
tff(f12370,plain,
( spl11_281
<=> $less(sF10,$sum(sK1,div1(mod1(0,sK1),sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_281])]) ).
tff(f26646,plain,
( ~ $less(sF10,$sum(sK1,div1(mod1(0,sK1),sK1)))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74
| spl11_160
| ~ spl11_280 ),
inference(subsumption_resolution,[],[f26645,f1277]) ).
tff(f26645,plain,
( $less(sF10,0)
| ~ $less(sF10,$sum(sK1,div1(mod1(0,sK1),sK1)))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_160
| ~ spl11_280 ),
inference(subsumption_resolution,[],[f26626,f3728]) ).
tff(f26626,plain,
( $less(mod1(0,sK1),0)
| $less(sF10,0)
| ~ $less(sF10,$sum(sK1,div1(mod1(0,sK1),sK1)))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_280 ),
inference(superposition,[],[f1153,f12123]) ).
tff(f26684,plain,
( spl11_282
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_160
| ~ spl11_263
| ~ spl11_280 ),
inference(avatar_split_clause,[],[f26644,f12122,f9363,f3727,f982,f264,f191,f12374]) ).
tff(f12374,plain,
( spl11_282
<=> ( sK1 = $sum(sK1,div1(mod1(0,sK1),sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_282])]) ).
tff(f26644,plain,
( ( sK1 = $sum(sK1,div1(mod1(0,sK1),sK1)) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_160
| ~ spl11_263
| ~ spl11_280 ),
inference(forward_demodulation,[],[f26643,f9364]) ).
tff(f26643,plain,
( ( div1(sF10,sK1) = $sum(sK1,div1(mod1(0,sK1),sK1)) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_160
| ~ spl11_280 ),
inference(subsumption_resolution,[],[f26625,f3728]) ).
tff(f26625,plain,
( ( div1(sF10,sK1) = $sum(sK1,div1(mod1(0,sK1),sK1)) )
| $less(mod1(0,sK1),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_280 ),
inference(superposition,[],[f1119,f12123]) ).
tff(f26379,plain,
( spl11_280
| spl11_53
| ~ spl11_19
| ~ spl11_64
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f26339,f9363,f1158,f264,f951,f12122]) ).
tff(f26339,plain,
( ( 0 = sK1 )
| ( sF10 = $sum(sF10,mod1(0,sK1)) )
| ~ spl11_19
| ~ spl11_64
| ~ spl11_263 ),
inference(forward_demodulation,[],[f26338,f265]) ).
tff(f26338,plain,
( ( 0 = sK1 )
| ( sF10 = $sum($product(sK1,sK1),mod1(0,sK1)) )
| ~ spl11_64
| ~ spl11_263 ),
inference(forward_demodulation,[],[f26331,f9364]) ).
tff(f26331,plain,
( ( sF10 = $sum($product(sK1,div1(sF10,sK1)),mod1(0,sK1)) )
| ( 0 = sK1 )
| ~ spl11_64 ),
inference(superposition,[],[f128,f1159]) ).
tff(f26325,plain,
( spl11_180
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(avatar_split_clause,[],[f26285,f3897,f1726,f856,f239,f4618]) ).
tff(f4618,plain,
( spl11_180
<=> ( mod1(sF3,sF3) = mod1(sF4,sF3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_180])]) ).
tff(f26285,plain,
( ( mod1(sF3,sF3) = mod1(sF4,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(subsumption_resolution,[],[f26281,f3891]) ).
tff(f26281,plain,
( $less(sF3,0)
| ( mod1(sF3,sF3) = mod1(sF4,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(evaluation,[],[f26258]) ).
tff(f26258,plain,
( $less(1,0)
| ( mod1(sF3,sF3) = mod1(sF4,sF3) )
| $less(sF3,0)
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(superposition,[],[f23989,f60]) ).
tff(f23989,plain,
( ! [X1: $int] :
( ( mod1($product(sF3,X1),sF3) = mod1(sF4,sF3) )
| $less($product(sF3,X1),0)
| $less(X1,0) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(subsumption_resolution,[],[f23988,f857]) ).
tff(f23988,plain,
( ! [X1: $int] :
( ( mod1($product(sF3,X1),sF3) = mod1(sF4,sF3) )
| $less(X1,0)
| $less($product(sF3,X1),0)
| ~ $less(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(subsumption_resolution,[],[f23974,f3898]) ).
tff(f23974,plain,
( ! [X1: $int] :
( $less(sF4,0)
| ( mod1($product(sF3,X1),sF3) = mod1(sF4,sF3) )
| ~ $less(0,sF3)
| $less(X1,0)
| $less($product(sF3,X1),0) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f4186,f147]) ).
tff(f26324,plain,
( spl11_172
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(avatar_split_clause,[],[f26279,f3897,f1726,f856,f239,f4205]) ).
tff(f26279,plain,
( ( mod1(sF4,sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(evaluation,[],[f26278]) ).
tff(f26278,plain,
( ( mod1(sF4,sF3) = mod1(0,sF3) )
| $less(0,0)
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(duplicate_literal_removal,[],[f26259]) ).
tff(f26259,plain,
( $less(0,0)
| ( mod1(sF4,sF3) = mod1(0,sF3) )
| $less(0,0)
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(superposition,[],[f23989,f61]) ).
tff(f26257,plain,
( spl11_180
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(avatar_split_clause,[],[f26253,f3897,f1726,f856,f239,f4618]) ).
tff(f26253,plain,
( ( mod1(sF3,sF3) = mod1(sF4,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(subsumption_resolution,[],[f26249,f3891]) ).
tff(f26249,plain,
( ( mod1(sF3,sF3) = mod1(sF4,sF3) )
| $less(sF3,0)
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(evaluation,[],[f26227]) ).
tff(f26227,plain,
( ( mod1(sF3,sF3) = mod1(sF4,sF3) )
| $less(sF3,0)
| $less(1,0)
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(superposition,[],[f23987,f60]) ).
tff(f23987,plain,
( ! [X0: $int] :
( ( mod1($product(sF3,X0),sF3) = mod1(sF4,sF3) )
| $less(X0,0)
| $less($product(sF3,X0),0) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(subsumption_resolution,[],[f23986,f3898]) ).
tff(f23986,plain,
( ! [X0: $int] :
( $less($product(sF3,X0),0)
| ( mod1($product(sF3,X0),sF3) = mod1(sF4,sF3) )
| $less(sF4,0)
| $less(X0,0) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(subsumption_resolution,[],[f23976,f857]) ).
tff(f23976,plain,
( ! [X0: $int] :
( ~ $less(0,sF3)
| $less(X0,0)
| ( mod1($product(sF3,X0),sF3) = mod1(sF4,sF3) )
| $less($product(sF3,X0),0)
| $less(sF4,0) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f147,f4186]) ).
tff(f26256,plain,
( spl11_172
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(avatar_split_clause,[],[f26248,f3897,f1726,f856,f239,f4205]) ).
tff(f26248,plain,
( ( mod1(sF4,sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(evaluation,[],[f26247]) ).
tff(f26247,plain,
( ( mod1(sF4,sF3) = mod1(0,sF3) )
| $less(0,0)
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(duplicate_literal_removal,[],[f26228]) ).
tff(f26228,plain,
( $less(0,0)
| ( mod1(sF4,sF3) = mod1(0,sF3) )
| $less(0,0)
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(superposition,[],[f23987,f61]) ).
tff(f26081,plain,
( spl11_64
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f26063,f982,f264,f191,f1158]) ).
tff(f26063,plain,
( ( mod1(sF10,sK1) = mod1(0,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(evaluation,[],[f26043]) ).
tff(f26043,plain,
( ( mod1($uminus(0),sK1) = mod1($uminus($uminus(sF10)),sK1) )
| $less($uminus(0),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f23630,f267]) ).
tff(f23630,plain,
( ! [X0: $int] :
( ( mod1($uminus($sum(X0,sF10)),sK1) = mod1($uminus(X0),sK1) )
| $less($uminus($sum(X0,sF10)),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f23472,f50]) ).
tff(f26080,plain,
( spl11_172
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(avatar_split_clause,[],[f25961,f3897,f1726,f856,f239,f4205]) ).
tff(f25961,plain,
( ( mod1(sF4,sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(subsumption_resolution,[],[f25960,f3898]) ).
tff(f25960,plain,
( ( mod1(sF4,sF3) = mod1(0,sF3) )
| $less(sF4,0)
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(subsumption_resolution,[],[f25939,f3891]) ).
tff(f25939,plain,
( ( mod1(sF4,sF3) = mod1(0,sF3) )
| $less(sF3,0)
| $less(sF4,0)
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(superposition,[],[f4582,f240]) ).
tff(f4582,plain,
( ! [X1: $int] :
( ( mod1($product(sF3,X1),sF3) = mod1(0,sF3) )
| $less(X1,0)
| $less($product(sF3,X1),0) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(backward_demodulation,[],[f4492,f4569]) ).
tff(f4569,plain,
( ( mod1(sF4,sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(evaluation,[],[f4568]) ).
tff(f4568,plain,
( $less(0,0)
| ( mod1(sF4,sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(duplicate_literal_removal,[],[f4550]) ).
tff(f4550,plain,
( $less(0,0)
| ( mod1(sF4,sF3) = mod1(0,sF3) )
| $less(0,0)
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(superposition,[],[f4492,f61]) ).
tff(f4492,plain,
( ! [X1: $int] :
( ( mod1($product(sF3,X1),sF3) = mod1(sF4,sF3) )
| $less(X1,0)
| $less($product(sF3,X1),0) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(subsumption_resolution,[],[f4230,f3898]) ).
tff(f4230,plain,
( ! [X1: $int] :
( $less(sF4,0)
| $less($product(sF3,X1),0)
| ( mod1($product(sF3,X1),sF3) = mod1(sF4,sF3) )
| $less(X1,0) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(subsumption_resolution,[],[f4220,f857]) ).
tff(f4220,plain,
( ! [X1: $int] :
( $less(sF4,0)
| ( mod1($product(sF3,X1),sF3) = mod1(sF4,sF3) )
| $less(X1,0)
| ~ $less(0,sF3)
| $less($product(sF3,X1),0) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f4186,f147]) ).
tff(f26039,plain,
( spl11_182
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(avatar_split_clause,[],[f25959,f3897,f1726,f856,f239,f4626]) ).
tff(f25959,plain,
( ( mod1(sF3,sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(subsumption_resolution,[],[f25957,f3891]) ).
tff(f25957,plain,
( $less(sF3,0)
| ( mod1(sF3,sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(evaluation,[],[f25940]) ).
tff(f25940,plain,
( $less(sF3,0)
| ( mod1(sF3,sF3) = mod1(0,sF3) )
| $less(1,0)
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(superposition,[],[f4582,f60]) ).
tff(f25552,plain,
( spl11_172
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(avatar_split_clause,[],[f25544,f1726,f856,f239,f4205]) ).
tff(f25544,plain,
( ( mod1(sF4,sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(evaluation,[],[f25519]) ).
tff(f25519,plain,
( $less(0,0)
| ( mod1(sF4,sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f24217,f51]) ).
tff(f25551,plain,
( spl11_172
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(avatar_split_clause,[],[f25543,f1726,f856,f239,f4205]) ).
tff(f25543,plain,
( ( mod1(sF4,sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(evaluation,[],[f25524]) ).
tff(f25524,plain,
( $less(0,0)
| ( mod1($uminus($uminus(sF4)),sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f24217,f267]) ).
tff(f25453,plain,
( spl11_178
| spl11_154
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(avatar_split_clause,[],[f23979,f1726,f856,f239,f3454,f4354]) ).
tff(f4354,plain,
( spl11_178
<=> ! [X3: $int] :
( ~ $less(0,mod1(X3,sF3))
| $less(X3,0)
| $less(0,$sum(X3,sF4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_178])]) ).
tff(f23979,plain,
( ! [X3: $int] :
( ( 0 = sF3 )
| $less(X3,0)
| $less(0,$sum(X3,sF4))
| ~ $less(0,mod1(X3,sF3)) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f159,f4186]) ).
tff(f25393,plain,
( spl11_420
| ~ spl11_12
| ~ spl11_14
| ~ spl11_34 ),
inference(avatar_split_clause,[],[f25331,f590,f243,f235,f23069]) ).
tff(f25331,plain,
( $less(sF5,sF3)
| ~ spl11_12
| ~ spl11_14
| ~ spl11_34 ),
inference(subsumption_resolution,[],[f25327,f591]) ).
tff(f25327,plain,
( ~ $less(sK1,sK2)
| $less(sF5,sF3)
| ~ spl11_12
| ~ spl11_14 ),
inference(superposition,[],[f421,f244]) ).
tff(f25181,plain,
( spl11_327
| spl11_326
| ~ spl11_2
| ~ spl11_12
| ~ spl11_19
| spl11_58
| ~ spl11_278 ),
inference(avatar_split_clause,[],[f25155,f11316,f982,f264,f235,f191,f16466,f16469]) ).
tff(f16469,plain,
( spl11_327
<=> $less(-1,sF3) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_327])]) ).
tff(f16466,plain,
( spl11_326
<=> ! [X26: $int] :
( $less(sK2,X26)
| $less(X26,sF10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_326])]) ).
tff(f25155,plain,
( ! [X57: $int] :
( $less(sK2,X57)
| $less(X57,sF10)
| $less(-1,sF3) )
| ~ spl11_2
| ~ spl11_12
| ~ spl11_19
| spl11_58
| ~ spl11_278 ),
inference(resolution,[],[f333,f16423]) ).
tff(f24989,plain,
( spl11_324
| spl11_342
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_278
| ~ spl11_293 ),
inference(avatar_split_clause,[],[f24988,f13385,f11316,f982,f264,f191,f16933,f16456]) ).
tff(f16933,plain,
( spl11_342
<=> ! [X21: $int] :
( $less(0,X21)
| $less(X21,sF10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_342])]) ).
tff(f24988,plain,
( ! [X18: $int] :
( $less(X18,sF10)
| $less(0,X18)
| $less(-1,sF5) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_278
| ~ spl11_293 ),
inference(evaluation,[],[f24985]) ).
tff(f24985,plain,
( ! [X18: $int] :
( $less(X18,sF10)
| ( 0 = -1 )
| $less(0,X18)
| $less(-1,sF5) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_278
| ~ spl11_293 ),
inference(resolution,[],[f14155,f16424]) ).
tff(f16424,plain,
( ! [X0: $int,X1: $int] :
( $less(-1,X1)
| ( -1 = X1 )
| $less(X1,X0)
| $less(X0,sF10) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_278 ),
inference(resolution,[],[f16423,f54]) ).
tff(f24881,plain,
( spl11_64
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f24872,f982,f264,f191,f1158]) ).
tff(f24872,plain,
( ( mod1(sF10,sK1) = mod1(0,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(evaluation,[],[f24843]) ).
tff(f24843,plain,
( $less(0,0)
| ( mod1(0,sK1) = mod1($uminus($uminus(sF10)),sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f23631,f267]) ).
tff(f24880,plain,
( spl11_64
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f24864,f982,f264,f191,f1158]) ).
tff(f24864,plain,
( ( mod1(sF10,sK1) = mod1(0,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(evaluation,[],[f24838]) ).
tff(f24838,plain,
( $less(0,0)
| ( mod1(sF10,sK1) = mod1(0,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f23631,f51]) ).
tff(f24747,plain,
( spl11_327
| spl11_355
| spl11_325
| ~ spl11_2
| ~ spl11_19
| ~ spl11_46
| spl11_58
| ~ spl11_278 ),
inference(avatar_split_clause,[],[f24284,f11316,f982,f852,f264,f191,f16459,f17033,f16469]) ).
tff(f17033,plain,
( spl11_355
<=> ( sK1 = -1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_355])]) ).
tff(f24284,plain,
( ! [X12: $int] :
( $less(sK1,X12)
| ( sK1 = -1 )
| $less(-1,sF3)
| $less(X12,sF10) )
| ~ spl11_2
| ~ spl11_19
| ~ spl11_46
| spl11_58
| ~ spl11_278 ),
inference(resolution,[],[f860,f16424]) ).
tff(f24707,plain,
( spl11_327
| spl11_326
| spl11_354
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_278
| ~ spl11_400 ),
inference(avatar_split_clause,[],[f24599,f20243,f11316,f982,f264,f191,f17026,f16466,f16469]) ).
tff(f17026,plain,
( spl11_354
<=> ( sK2 = -1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_354])]) ).
tff(f24599,plain,
( ! [X13: $int] :
( ( sK2 = -1 )
| $less(X13,sF10)
| $less(sK2,X13)
| $less(-1,sF3) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_278
| ~ spl11_400 ),
inference(resolution,[],[f20428,f16424]) ).
tff(f24617,plain,
( spl11_154
| spl11_254
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(avatar_split_clause,[],[f24240,f1726,f856,f239,f7971,f3454]) ).
tff(f7971,plain,
( spl11_254
<=> ! [X6: $int] :
( ~ $less(mod1(X6,sF3),0)
| $less($sum($uminus(sF4),X6),0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_254])]) ).
tff(f24240,plain,
( ! [X5: $int] :
( $less($sum($uminus(sF4),X5),0)
| ~ $less(mod1(X5,sF3),0)
| ( 0 = sF3 ) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(duplicate_literal_removal,[],[f24233]) ).
tff(f24233,plain,
( ! [X5: $int] :
( $less($sum($uminus(sF4),X5),0)
| $less($sum($uminus(sF4),X5),0)
| ( 0 = sF3 )
| ~ $less(mod1(X5,sF3),0) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f163,f23933]) ).
tff(f24603,plain,
( spl11_53
| spl11_253
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f23657,f982,f264,f191,f7765,f951]) ).
tff(f7765,plain,
( spl11_253
<=> ! [X6: $int] :
( $less($sum($uminus(sF10),X6),0)
| ~ $less(mod1(X6,sK1),0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_253])]) ).
tff(f23657,plain,
( ! [X8: $int] :
( $less($sum($uminus(sF10),X8),0)
| ~ $less(mod1(X8,sK1),0)
| ( 0 = sK1 ) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(duplicate_literal_removal,[],[f23654]) ).
tff(f23654,plain,
( ! [X8: $int] :
( ~ $less(mod1(X8,sK1),0)
| $less($sum($uminus(sF10),X8),0)
| $less($sum($uminus(sF10),X8),0)
| ( 0 = sK1 ) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f163,f23472]) ).
tff(f24602,plain,
( spl11_327
| spl11_336
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_278
| ~ spl11_320 ),
inference(avatar_split_clause,[],[f24550,f16026,f11316,f982,f264,f191,f16909,f16469]) ).
tff(f16909,plain,
( spl11_336
<=> ! [X141: $int] :
( $less(X141,sF10)
| $less(2,X141) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_336])]) ).
tff(f24550,plain,
( ! [X9: $int] :
( $less(2,X9)
| $less(-1,sF3)
| $less(X9,sF10) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_278
| ~ spl11_320 ),
inference(evaluation,[],[f24548]) ).
tff(f24548,plain,
( ! [X9: $int] :
( $less(-1,sF3)
| $less(X9,sF10)
| $less(2,X9)
| ( 2 = -1 ) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_278
| ~ spl11_320 ),
inference(resolution,[],[f16210,f16424]) ).
tff(f24601,plain,
( spl11_154
| spl11_177
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(avatar_split_clause,[],[f23946,f1726,f856,f239,f4307,f3454]) ).
tff(f4307,plain,
( spl11_177
<=> ! [X0: $int] :
( $less(X0,0)
| ( $sum(mod1(X0,sF3),$product(sF3,div1($sum(sF4,X0),sF3))) = $sum(sF4,X0) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_177])]) ).
tff(f23946,plain,
( ! [X0: $int] :
( ( $sum(mod1(X0,sF3),$product(sF3,div1($sum(sF4,X0),sF3))) = $sum(sF4,X0) )
| $less(X0,0)
| ( 0 = sF3 ) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(forward_demodulation,[],[f23937,f47]) ).
tff(f23937,plain,
( ! [X0: $int] :
( ( 0 = sF3 )
| $less(X0,0)
| ( $sum($product(sF3,div1($sum(sF4,X0),sF3)),mod1(X0,sF3)) = $sum(sF4,X0) ) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f128,f4180]) ).
tff(f24564,plain,
( spl11_327
| spl11_345
| ~ spl11_2
| ~ spl11_19
| ~ spl11_51
| spl11_58
| ~ spl11_278 ),
inference(avatar_split_clause,[],[f24516,f11316,f982,f935,f264,f191,f16953,f16469]) ).
tff(f16953,plain,
( spl11_345
<=> ! [X130: $int] :
( $less(1,X130)
| $less(X130,sF10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_345])]) ).
tff(f24516,plain,
( ! [X9: $int] :
( $less(1,X9)
| $less(-1,sF3)
| $less(X9,sF10) )
| ~ spl11_2
| ~ spl11_19
| ~ spl11_51
| spl11_58
| ~ spl11_278 ),
inference(evaluation,[],[f24512]) ).
tff(f24512,plain,
( ! [X9: $int] :
( $less(X9,sF10)
| ( 1 = -1 )
| $less(1,X9)
| $less(-1,sF3) )
| ~ spl11_2
| ~ spl11_19
| ~ spl11_51
| spl11_58
| ~ spl11_278 ),
inference(resolution,[],[f954,f16424]) ).
tff(f24563,plain,
( spl11_327
| spl11_337
| ~ spl11_2
| ~ spl11_19
| ~ spl11_49
| spl11_58
| ~ spl11_278 ),
inference(avatar_split_clause,[],[f24479,f11316,f982,f913,f264,f191,f16913,f16469]) ).
tff(f16913,plain,
( spl11_337
<=> ! [X135: $int] :
( $less(X135,sF10)
| $less(3,X135) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_337])]) ).
tff(f24479,plain,
( ! [X9: $int] :
( $less(3,X9)
| $less(X9,sF10)
| $less(-1,sF3) )
| ~ spl11_2
| ~ spl11_19
| ~ spl11_49
| spl11_58
| ~ spl11_278 ),
inference(evaluation,[],[f24475]) ).
tff(f24475,plain,
( ! [X9: $int] :
( $less(3,X9)
| $less(X9,sF10)
| ( 3 = -1 )
| $less(-1,sF3) )
| ~ spl11_2
| ~ spl11_19
| ~ spl11_49
| spl11_58
| ~ spl11_278 ),
inference(resolution,[],[f924,f16424]) ).
tff(f24490,plain,
( spl11_327
| spl11_342
| ~ spl11_2
| ~ spl11_19
| ~ spl11_47
| spl11_58
| ~ spl11_278 ),
inference(avatar_split_clause,[],[f24435,f11316,f982,f856,f264,f191,f16933,f16469]) ).
tff(f24435,plain,
( ! [X15: $int] :
( $less(0,X15)
| $less(-1,sF3)
| $less(X15,sF10) )
| ~ spl11_2
| ~ spl11_19
| ~ spl11_47
| spl11_58
| ~ spl11_278 ),
inference(evaluation,[],[f24432]) ).
tff(f24432,plain,
( ! [X15: $int] :
( $less(0,X15)
| $less(X15,sF10)
| $less(-1,sF3)
| ( 0 = -1 ) )
| ~ spl11_2
| ~ spl11_19
| ~ spl11_47
| spl11_58
| ~ spl11_278 ),
inference(resolution,[],[f861,f16424]) ).
tff(f24437,plain,
( spl11_265
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f24356,f9363,f982,f264,f191,f9569]) ).
tff(f24356,plain,
( ( sK1 = $sum(sK1,div1(0,sK1)) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(forward_demodulation,[],[f24325,f9364]) ).
tff(f24325,plain,
( ( $sum(sK1,div1(0,sK1)) = div1(sF10,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(evaluation,[],[f24293]) ).
tff(f24293,plain,
( $less(0,0)
| ( $sum(sK1,div1(0,sK1)) = div1($uminus($uminus(sF10)),sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f23473,f51]) ).
tff(f24436,plain,
( spl11_265
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f24352,f9363,f982,f264,f191,f9569]) ).
tff(f24352,plain,
( ( sK1 = $sum(sK1,div1(0,sK1)) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(forward_demodulation,[],[f24329,f9364]) ).
tff(f24329,plain,
( ( $sum(sK1,div1(0,sK1)) = div1(sF10,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(evaluation,[],[f24288]) ).
tff(f24288,plain,
( ( $sum(sK1,div1(0,sK1)) = div1(sF10,sK1) )
| $less(0,0)
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f23473,f267]) ).
tff(f24402,plain,
( spl11_172
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(avatar_split_clause,[],[f24238,f1726,f856,f239,f4205]) ).
tff(f24238,plain,
( ( mod1(sF4,sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(evaluation,[],[f24220]) ).
tff(f24220,plain,
( $less(0,0)
| ( mod1($uminus($uminus(sF4)),sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f23933,f51]) ).
tff(f24368,plain,
( spl11_172
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(avatar_split_clause,[],[f24236,f1726,f856,f239,f4205]) ).
tff(f24236,plain,
( ( mod1(sF4,sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(evaluation,[],[f24215]) ).
tff(f24215,plain,
( $less(0,0)
| ( mod1(sF4,sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f23933,f267]) ).
tff(f24243,plain,
( spl11_154
| spl11_175
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(avatar_split_clause,[],[f23939,f1726,f856,f239,f4258,f3454]) ).
tff(f4258,plain,
( spl11_175
<=> ! [X2: $int] :
( $less(X2,0)
| $less(0,$sum(sF4,X2))
| ~ $less(0,mod1(X2,sF3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_175])]) ).
tff(f23939,plain,
( ! [X2: $int] :
( ~ $less(0,mod1(X2,sF3))
| ( 0 = sF3 )
| $less(0,$sum(sF4,X2))
| $less(X2,0) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f159,f4180]) ).
tff(f24155,plain,
( spl11_420
| ~ spl11_12
| ~ spl11_14
| ~ spl11_34 ),
inference(avatar_split_clause,[],[f23888,f590,f243,f235,f23069]) ).
tff(f23888,plain,
( $less(sF5,sF3)
| ~ spl11_12
| ~ spl11_14
| ~ spl11_34 ),
inference(subsumption_resolution,[],[f23869,f591]) ).
tff(f23869,plain,
( $less(sF5,sF3)
| ~ $less(sK1,sK2)
| ~ spl11_12
| ~ spl11_14 ),
inference(superposition,[],[f410,f236]) ).
tff(f24028,plain,
( spl11_156
| spl11_154
| ~ spl11_434
| ~ spl11_2
| ~ spl11_12
| ~ spl11_19
| spl11_58
| ~ spl11_390 ),
inference(avatar_split_clause,[],[f23880,f19798,f982,f264,f235,f191,f24026,f3454,f3460]) ).
tff(f24026,plain,
( spl11_434
<=> $less(sK2,$uminus(sF6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_434])]) ).
tff(f23880,plain,
( ~ $less(sK2,$uminus(sF6))
| ( 0 = sF3 )
| $less(sF3,sF10)
| ~ spl11_2
| ~ spl11_12
| ~ spl11_19
| spl11_58
| ~ spl11_390 ),
inference(superposition,[],[f20330,f236]) ).
tff(f20330,plain,
( ! [X48: $int] :
( $less($sum(X48,1),sF10)
| ( 0 = $sum(X48,1) )
| ~ $less(X48,$uminus(sF6)) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_390 ),
inference(resolution,[],[f20026,f64]) ).
tff(f20026,plain,
( ! [X1: $int] :
( $less($uminus(sF6),X1)
| $less(X1,sF10)
| ( 0 = X1 ) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_390 ),
inference(resolution,[],[f19799,f1464]) ).
tff(f1464,plain,
( ! [X6: $int,X5: $int] :
( ~ $less(X6,0)
| $less(X5,sF10)
| ( 0 = X5 )
| $less(X6,X5) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(resolution,[],[f1426,f53]) ).
tff(f24017,plain,
( spl11_156
| ~ spl11_10
| ~ spl11_427 ),
inference(avatar_split_clause,[],[f24004,f23734,f224,f3460]) ).
tff(f24004,plain,
( $less(sF3,sF10)
| ~ spl11_10
| ~ spl11_427 ),
inference(resolution,[],[f23735,f362]) ).
tff(f24016,plain,
( spl11_433
| ~ spl11_8
| ~ spl11_427 ),
inference(avatar_split_clause,[],[f24002,f23734,f215,f24014]) ).
tff(f24002,plain,
( $less(sF3,sF6)
| ~ spl11_8
| ~ spl11_427 ),
inference(resolution,[],[f23735,f361]) ).
tff(f24012,plain,
( spl11_156
| ~ spl11_432
| spl11_154
| ~ spl11_2
| ~ spl11_12
| ~ spl11_19
| spl11_58
| ~ spl11_174 ),
inference(avatar_split_clause,[],[f23874,f4212,f982,f264,f235,f191,f3454,f24010,f3460]) ).
tff(f24010,plain,
( spl11_432
<=> $less(sK2,$uminus(sF4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_432])]) ).
tff(f23874,plain,
( ( 0 = sF3 )
| ~ $less(sK2,$uminus(sF4))
| $less(sF3,sF10)
| ~ spl11_2
| ~ spl11_12
| ~ spl11_19
| spl11_58
| ~ spl11_174 ),
inference(superposition,[],[f4825,f236]) ).
tff(f4825,plain,
( ! [X21: $int] :
( $less($sum(X21,1),sF10)
| ~ $less(X21,$uminus(sF4))
| ( 0 = $sum(X21,1) ) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_174 ),
inference(resolution,[],[f4775,f64]) ).
tff(f4775,plain,
( ! [X0: $int] :
( $less($uminus(sF4),X0)
| ( 0 = X0 )
| $less(X0,sF10) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_174 ),
inference(resolution,[],[f4213,f1464]) ).
tff(f24001,plain,
( spl11_156
| ~ spl11_155
| spl11_154
| ~ spl11_2
| ~ spl11_12
| ~ spl11_19
| spl11_58
| ~ spl11_68 ),
inference(avatar_split_clause,[],[f23872,f1173,f982,f264,f235,f191,f3454,f3457,f3460]) ).
tff(f3457,plain,
( spl11_155
<=> $less(sK2,$uminus(sF10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_155])]) ).
tff(f23872,plain,
( ( 0 = sF3 )
| ~ $less(sK2,$uminus(sF10))
| $less(sF3,sF10)
| ~ spl11_2
| ~ spl11_12
| ~ spl11_19
| spl11_58
| ~ spl11_68 ),
inference(superposition,[],[f1807,f236]) ).
tff(f1807,plain,
( ! [X6: $int] :
( $less($sum(X6,1),sF10)
| ~ $less(X6,$uminus(sF10))
| ( 0 = $sum(X6,1) ) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_68 ),
inference(resolution,[],[f1688,f64]) ).
tff(f1688,plain,
( ! [X3: $int] :
( $less($uminus(sF10),X3)
| ( 0 = X3 )
| $less(X3,sF10) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_68 ),
inference(resolution,[],[f1464,f1174]) ).
tff(f24000,plain,
( ~ spl11_106
| spl11_431
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_320 ),
inference(avatar_split_clause,[],[f23918,f16026,f982,f264,f191,f23905,f1726]) ).
tff(f23905,plain,
( spl11_431
<=> ! [X0: $int] :
( $less(sF3,X0)
| $less(X0,sF10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_431])]) ).
tff(f23918,plain,
( ! [X0: $int] :
( $less(X0,sF10)
| ~ $less(sF3,0)
| $less(sF3,X0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_320 ),
inference(evaluation,[],[f23914]) ).
tff(f23914,plain,
( ! [X0: $int] :
( $less(2,1)
| $less(sF3,X0)
| $less(X0,sF10)
| ~ $less(sF3,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_320 ),
inference(resolution,[],[f16027,f15686]) ).
tff(f15686,plain,
( ! [X2: $int,X3: $int,X4: $int] :
( ~ $less(X3,X2)
| $less(X3,1)
| $less(X4,sF10)
| $less(X2,X4)
| ~ $less(X2,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f149,f15637]) ).
tff(f15637,plain,
( ! [X3: $int,X4: $int] :
( ( 1 = abs1(X3) )
| ~ $less(X3,0)
| $less(X4,sF10)
| $less(X3,X4) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(duplicate_literal_removal,[],[f15450]) ).
tff(f15450,plain,
( ! [X3: $int,X4: $int] :
( ( 1 = abs1(X3) )
| $less(X4,sF10)
| ~ $less(X3,0)
| $less(X3,X4)
| ~ $less(X3,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f15407,f127]) ).
tff(f15407,plain,
( ! [X8: $int,X9: $int] :
( ( 1 = $uminus(X8) )
| $less(X8,X9)
| ~ $less(X8,0)
| $less(X9,sF10) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(evaluation,[],[f15343]) ).
tff(f15343,plain,
( ! [X8: $int,X9: $int] :
( $less(X9,sF10)
| $less(X8,X9)
| ~ $less(X8,0)
| ( $uminus(X8) = $sum(1,0) ) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f8616,f51]) ).
tff(f8616,plain,
( ! [X6: $int,X7: $int,X5: $int] :
( ( $sum(1,$sum(X5,X6)) = X6 )
| ~ $less(X5,0)
| $less(X5,X7)
| $less(X7,sF10) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f8546,f274]) ).
tff(f8546,plain,
( ! [X6: $int,X7: $int,X5: $int] :
( ~ $less(X5,0)
| $less(X7,sF10)
| $less(X5,X7)
| ( $sum(1,$sum(X5,X6)) = $sum(0,X6) ) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f48,f8189]) ).
tff(f8189,plain,
( ! [X2: $int,X1: $int] :
( ( 0 = $sum(1,X1) )
| $less(X2,sF10)
| $less(X1,X2)
| ~ $less(X1,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f8141,f47]) ).
tff(f23991,plain,
( spl11_172
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(avatar_split_clause,[],[f23984,f1726,f856,f239,f4205]) ).
tff(f23984,plain,
( ( mod1(sF4,sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(evaluation,[],[f23969]) ).
tff(f23969,plain,
( ( mod1(sF4,sF3) = mod1(0,sF3) )
| $less(0,0)
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f4186,f274]) ).
tff(f23955,plain,
( ~ spl11_106
| spl11_431
| ~ spl11_2
| ~ spl11_19
| ~ spl11_51
| spl11_58 ),
inference(avatar_split_clause,[],[f23913,f982,f935,f264,f191,f23905,f1726]) ).
tff(f23913,plain,
( ! [X1: $int] :
( $less(X1,sF10)
| $less(sF3,X1)
| ~ $less(sF3,0) )
| ~ spl11_2
| ~ spl11_19
| ~ spl11_51
| spl11_58 ),
inference(evaluation,[],[f23909]) ).
tff(f23909,plain,
( ! [X1: $int] :
( $less(X1,sF10)
| ~ $less(sF3,0)
| $less(sF3,X1)
| $less(1,1) )
| ~ spl11_2
| ~ spl11_19
| ~ spl11_51
| spl11_58 ),
inference(resolution,[],[f936,f15686]) ).
tff(f23949,plain,
( spl11_431
| ~ spl11_106
| ~ spl11_2
| ~ spl11_19
| ~ spl11_51
| spl11_58 ),
inference(avatar_split_clause,[],[f23908,f982,f935,f264,f191,f1726,f23905]) ).
tff(f23908,plain,
( ! [X0: $int] :
( ~ $less(sF3,0)
| $less(X0,sF10)
| $less(sF3,X0) )
| ~ spl11_2
| ~ spl11_19
| ~ spl11_51
| spl11_58 ),
inference(resolution,[],[f936,f15691]) ).
tff(f15691,plain,
( ! [X16: $int,X17: $int] :
( ~ $less(1,X16)
| ~ $less(X16,0)
| $less(X17,sF10)
| $less(X16,X17) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f322,f15637]) ).
tff(f23947,plain,
( spl11_172
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(avatar_split_clause,[],[f23944,f1726,f856,f239,f4205]) ).
tff(f23944,plain,
( ( mod1(sF4,sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(evaluation,[],[f23930]) ).
tff(f23930,plain,
( $less(0,0)
| ( mod1(sF4,sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f4180,f49]) ).
tff(f23926,plain,
( spl11_431
| ~ spl11_106
| ~ spl11_2
| ~ spl11_19
| ~ spl11_49
| spl11_58 ),
inference(avatar_split_clause,[],[f23903,f982,f913,f264,f191,f1726,f23905]) ).
tff(f23903,plain,
( ! [X0: $int] :
( ~ $less(sF3,0)
| $less(X0,sF10)
| $less(sF3,X0) )
| ~ spl11_2
| ~ spl11_19
| ~ spl11_49
| spl11_58 ),
inference(evaluation,[],[f23899]) ).
tff(f23899,plain,
( ! [X0: $int] :
( $less(sF3,X0)
| ~ $less(sF3,0)
| $less(3,1)
| $less(X0,sF10) )
| ~ spl11_2
| ~ spl11_19
| ~ spl11_49
| spl11_58 ),
inference(resolution,[],[f914,f15686]) ).
tff(f23907,plain,
( ~ spl11_106
| spl11_431
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| ~ spl11_46
| spl11_58
| spl11_292 ),
inference(avatar_split_clause,[],[f23889,f13375,f982,f852,f264,f243,f191,f23905,f1726]) ).
tff(f23889,plain,
( ! [X0: $int] :
( $less(sF3,X0)
| ~ $less(sF3,0)
| $less(X0,sF10) )
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| ~ spl11_46
| spl11_58
| spl11_292 ),
inference(resolution,[],[f853,f23007]) ).
tff(f23007,plain,
( ! [X0: $int,X1: $int] :
( ~ $less(sK1,X0)
| $less(X1,sF10)
| ~ $less(X0,0)
| $less(X0,X1) )
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| spl11_292 ),
inference(subsumption_resolution,[],[f22994,f13376]) ).
tff(f22994,plain,
( ! [X0: $int,X1: $int] :
( $less(sF5,0)
| ~ $less(X0,0)
| $less(X0,X1)
| ~ $less(sK1,X0)
| $less(X1,sF10) )
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f410,f8141]) ).
tff(f23862,plain,
( ~ spl11_267
| spl11_377
| ~ spl11_428 ),
inference(avatar_contradiction_clause,[],[f23861]) ).
tff(f23861,plain,
( $false
| ~ spl11_267
| spl11_377
| ~ spl11_428 ),
inference(subsumption_resolution,[],[f23843,f19086]) ).
tff(f19086,plain,
( ~ $less(sK0,sK2)
| spl11_377 ),
inference(avatar_component_clause,[],[f19085]) ).
tff(f19085,plain,
( spl11_377
<=> $less(sK0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_377])]) ).
tff(f23843,plain,
( $less(sK0,sK2)
| ~ spl11_267
| ~ spl11_428 ),
inference(resolution,[],[f23826,f9677]) ).
tff(f23826,plain,
( $less(sK0,1)
| ~ spl11_428 ),
inference(avatar_component_clause,[],[f23825]) ).
tff(f23825,plain,
( spl11_428
<=> $less(sK0,1) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_428])]) ).
tff(f23860,plain,
( ~ spl11_269
| ~ spl11_428 ),
inference(avatar_contradiction_clause,[],[f23859]) ).
tff(f23859,plain,
( $false
| ~ spl11_269
| ~ spl11_428 ),
inference(subsumption_resolution,[],[f23845,f52]) ).
tff(f23845,plain,
( $less(sK0,sK0)
| ~ spl11_269
| ~ spl11_428 ),
inference(resolution,[],[f23826,f9873]) ).
tff(f23858,plain,
( ~ spl11_321
| spl11_335
| ~ spl11_428 ),
inference(avatar_contradiction_clause,[],[f23857]) ).
tff(f23857,plain,
( $false
| ~ spl11_321
| spl11_335
| ~ spl11_428 ),
inference(subsumption_resolution,[],[f23847,f16906]) ).
tff(f16906,plain,
( ~ $less(sK0,sF5)
| spl11_335 ),
inference(avatar_component_clause,[],[f16905]) ).
tff(f16905,plain,
( spl11_335
<=> $less(sK0,sF5) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_335])]) ).
tff(f23847,plain,
( $less(sK0,sF5)
| ~ spl11_321
| ~ spl11_428 ),
inference(resolution,[],[f23826,f16395]) ).
tff(f23856,plain,
( spl11_42
| ~ spl11_88
| ~ spl11_428 ),
inference(avatar_contradiction_clause,[],[f23855]) ).
tff(f23855,plain,
( $false
| spl11_42
| ~ spl11_88
| ~ spl11_428 ),
inference(subsumption_resolution,[],[f23842,f769]) ).
tff(f769,plain,
( ~ $less(sK0,sK1)
| spl11_42 ),
inference(avatar_component_clause,[],[f768]) ).
tff(f768,plain,
( spl11_42
<=> $less(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_42])]) ).
tff(f23842,plain,
( $less(sK0,sK1)
| ~ spl11_88
| ~ spl11_428 ),
inference(resolution,[],[f23826,f9642]) ).
tff(f23854,plain,
( spl11_29
| ~ spl11_423
| ~ spl11_428 ),
inference(avatar_contradiction_clause,[],[f23853]) ).
tff(f23853,plain,
( $false
| spl11_29
| ~ spl11_423
| ~ spl11_428 ),
inference(subsumption_resolution,[],[f23848,f531]) ).
tff(f531,plain,
( ~ $less(sK0,sF7)
| spl11_29 ),
inference(avatar_component_clause,[],[f530]) ).
tff(f530,plain,
( spl11_29
<=> $less(sK0,sF7) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_29])]) ).
tff(f23848,plain,
( $less(sK0,sF7)
| ~ spl11_423
| ~ spl11_428 ),
inference(resolution,[],[f23826,f23328]) ).
tff(f23840,plain,
( spl11_430
| ~ spl11_12
| ~ spl11_426 ),
inference(avatar_split_clause,[],[f23737,f23731,f235,f23838]) ).
tff(f23838,plain,
( spl11_430
<=> ( sK0 = $sum(sK2,1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_430])]) ).
tff(f23731,plain,
( spl11_426
<=> ( sK0 = sF3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_426])]) ).
tff(f23737,plain,
( ( sK0 = $sum(sK2,1) )
| ~ spl11_12
| ~ spl11_426 ),
inference(backward_demodulation,[],[f236,f23732]) ).
tff(f23732,plain,
( ( sK0 = sF3 )
| ~ spl11_426 ),
inference(avatar_component_clause,[],[f23731]) ).
tff(f23830,plain,
( spl11_428
| ~ spl11_429
| ~ spl11_13
| spl11_106
| ~ spl11_426 ),
inference(avatar_split_clause,[],[f23823,f23731,f1726,f239,f23828,f23825]) ).
tff(f23828,plain,
( spl11_429
<=> $less(sF4,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_429])]) ).
tff(f23823,plain,
( ~ $less(sF4,sK0)
| $less(sK0,1)
| ~ spl11_13
| spl11_106
| ~ spl11_426 ),
inference(superposition,[],[f23806,f312]) ).
tff(f23806,plain,
( ! [X8: $int] :
( ~ $less(sF4,$product(X8,sK0))
| $less(sK0,X8) )
| ~ spl11_13
| spl11_106
| ~ spl11_426 ),
inference(forward_demodulation,[],[f23756,f23732]) ).
tff(f23756,plain,
( ! [X8: $int] :
( $less(sK0,X8)
| ~ $less(sF4,$product(X8,sF3)) )
| ~ spl11_13
| spl11_106
| ~ spl11_426 ),
inference(backward_demodulation,[],[f4178,f23732]) ).
tff(f4178,plain,
( ! [X8: $int] :
( ~ $less(sF4,$product(X8,sF3))
| $less(sF3,X8) )
| ~ spl11_13
| spl11_106 ),
inference(subsumption_resolution,[],[f4175,f3891]) ).
tff(f4175,plain,
( ! [X8: $int] :
( $less(sF3,0)
| $less(sF3,X8)
| ~ $less(sF4,$product(X8,sF3)) )
| ~ spl11_13 ),
inference(superposition,[],[f164,f240]) ).
tff(f164,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less($product(X1,X0),$product(X2,X0))
| $less(X0,0)
| $less(X1,X2) ),
inference(cnf_transformation,[],[f111]) ).
tff(f111,plain,
! [X0: $int,X1: $int,X2: $int] :
( $less(X1,X2)
| ~ $less($product(X1,X0),$product(X2,X0))
| $less(X0,0) ),
inference(flattening,[],[f110]) ).
tff(f110,plain,
! [X0: $int,X1: $int,X2: $int] :
( ~ $less($product(X1,X0),$product(X2,X0))
| $less(X0,0)
| $less(X1,X2) ),
inference(ennf_transformation,[],[f87]) ).
tff(f87,plain,
! [X0: $int,X1: $int,X2: $int] :
( ~ $less(X1,X2)
=> ( ~ $less(X0,0)
=> ~ $less($product(X1,X0),$product(X2,X0)) ) ),
inference(rectify,[],[f44]) ).
tff(f44,plain,
! [X4: $int,X7: $int,X1: $int] :
( ~ $less(X7,X1)
=> ( ~ $less(X4,0)
=> ~ $less($product(X7,X4),$product(X1,X4)) ) ),
inference(theory_normalization,[],[f8]) ).
tff(f8,axiom,
! [X4: $int,X7: $int,X1: $int] :
( $lesseq(X1,X7)
=> ( $lesseq(0,X4)
=> $lesseq($product(X1,X4),$product(X7,X4)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatOrderMult) ).
tff(f23736,plain,
( spl11_426
| spl11_427
| spl11_55 ),
inference(avatar_split_clause,[],[f16958,f970,f23734,f23731]) ).
tff(f970,plain,
( spl11_55
<=> $less(sK0,sF3) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_55])]) ).
tff(f16958,plain,
( $less(sF3,sK0)
| ( sK0 = sF3 )
| spl11_55 ),
inference(resolution,[],[f16948,f54]) ).
tff(f16948,plain,
( ~ $less(sK0,sF3)
| spl11_55 ),
inference(avatar_component_clause,[],[f970]) ).
tff(f23704,plain,
( spl11_345
| spl11_324
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_278
| ~ spl11_321 ),
inference(avatar_split_clause,[],[f23622,f16212,f11316,f982,f264,f191,f16456,f16953]) ).
tff(f23622,plain,
( ! [X9: $int] :
( $less(-1,sF5)
| $less(X9,sF10)
| $less(1,X9) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_278
| ~ spl11_321 ),
inference(evaluation,[],[f23611]) ).
tff(f23611,plain,
( ! [X9: $int] :
( $less(-1,sF5)
| ( 1 = -1 )
| $less(1,X9)
| $less(X9,sF10) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_278
| ~ spl11_321 ),
inference(resolution,[],[f16395,f16424]) ).
tff(f23687,plain,
( spl11_64
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f23665,f982,f264,f191,f1158]) ).
tff(f23665,plain,
( ( mod1(sF10,sK1) = mod1(0,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(evaluation,[],[f23629]) ).
tff(f23629,plain,
( $less(0,0)
| ( mod1(sF10,sK1) = mod1(0,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f23472,f267]) ).
tff(f23686,plain,
( spl11_64
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f23663,f982,f264,f191,f1158]) ).
tff(f23663,plain,
( ( mod1(sF10,sK1) = mod1(0,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(evaluation,[],[f23634]) ).
tff(f23634,plain,
( ( mod1(0,sK1) = mod1($uminus($uminus(sF10)),sK1) )
| $less(0,0)
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f23472,f51]) ).
tff(f23626,plain,
( spl11_341
| spl11_345
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_278
| ~ spl11_423 ),
inference(avatar_split_clause,[],[f23540,f23314,f11316,f982,f264,f191,f16953,f16930]) ).
tff(f16930,plain,
( spl11_341
<=> $less(-1,sF7) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_341])]) ).
tff(f23540,plain,
( ! [X9: $int] :
( $less(1,X9)
| $less(X9,sF10)
| $less(-1,sF7) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_278
| ~ spl11_423 ),
inference(evaluation,[],[f23531]) ).
tff(f23531,plain,
( ! [X9: $int] :
( $less(-1,sF7)
| ( 1 = -1 )
| $less(1,X9)
| $less(X9,sF10) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_278
| ~ spl11_423 ),
inference(resolution,[],[f23328,f16424]) ).
tff(f23551,plain,
( spl11_265
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f23508,f9363,f982,f264,f191,f9569]) ).
tff(f23508,plain,
( ( sK1 = $sum(sK1,div1(0,sK1)) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(evaluation,[],[f23507]) ).
tff(f23507,plain,
( $less(0,0)
| ( sK1 = $sum(sK1,div1(0,sK1)) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(forward_demodulation,[],[f23506,f51]) ).
tff(f23506,plain,
( ! [X1: $int] :
( $less($sum(X1,$uminus(X1)),0)
| ( sK1 = $sum(sK1,div1(0,sK1)) ) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(forward_demodulation,[],[f23505,f51]) ).
tff(f23505,plain,
( ! [X1: $int] :
( ( $sum(sK1,div1($sum(X1,$uminus(X1)),sK1)) = sK1 )
| $less($sum(X1,$uminus(X1)),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(forward_demodulation,[],[f23436,f9364]) ).
tff(f23436,plain,
( ! [X1: $int] :
( ( $sum(sK1,div1($sum(X1,$uminus(X1)),sK1)) = div1(sF10,sK1) )
| $less($sum(X1,$uminus(X1)),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1210,f465]) ).
tff(f23550,plain,
( spl11_64
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f23503,f982,f264,f191,f1158]) ).
tff(f23503,plain,
( ( mod1(sF10,sK1) = mod1(0,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(evaluation,[],[f23502]) ).
tff(f23502,plain,
( $less(0,0)
| ( mod1(sF10,sK1) = mod1(0,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f23501,f51]) ).
tff(f23501,plain,
( ! [X2: $int] :
( ( mod1(sF10,sK1) = mod1(0,sK1) )
| $less($sum(X2,$uminus(X2)),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f23437,f51]) ).
tff(f23437,plain,
( ! [X2: $int] :
( ( mod1(sF10,sK1) = mod1($sum(X2,$uminus(X2)),sK1) )
| $less($sum(X2,$uminus(X2)),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1180,f465]) ).
tff(f23549,plain,
( spl11_425
| ~ spl11_17
| ~ spl11_20
| ~ spl11_423 ),
inference(avatar_split_clause,[],[f23401,f23314,f301,f255,f23547]) ).
tff(f23401,plain,
( $less(sF5,sF8)
| ~ spl11_17
| ~ spl11_20
| ~ spl11_423 ),
inference(subsumption_resolution,[],[f23396,f23315]) ).
tff(f23396,plain,
( $less(sF5,sF8)
| ~ $less(1,sF7)
| ~ spl11_17
| ~ spl11_20 ),
inference(superposition,[],[f422,f302]) ).
tff(f23383,plain,
( spl11_420
| ~ spl11_12
| ~ spl11_14
| ~ spl11_34 ),
inference(avatar_split_clause,[],[f23382,f590,f243,f235,f23069]) ).
tff(f23382,plain,
( $less(sF5,sF3)
| ~ spl11_12
| ~ spl11_14
| ~ spl11_34 ),
inference(subsumption_resolution,[],[f23376,f591]) ).
tff(f23376,plain,
( ~ $less(sK1,sK2)
| $less(sF5,sF3)
| ~ spl11_12
| ~ spl11_14 ),
inference(superposition,[],[f421,f244]) ).
tff(f23330,plain,
( spl11_53
| spl11_122
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f18117,f982,f264,f191,f2278,f951]) ).
tff(f2278,plain,
( spl11_122
<=> ! [X4: $int] :
( $less($uminus(abs1(sK1)),$sum(sF10,X4))
| $less($sum(sF10,X4),0)
| ~ $less($sum(sF10,X4),sK1)
| $less(X4,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_122])]) ).
tff(f18117,plain,
( ! [X4: $int] :
( $less(X4,0)
| $less($uminus(abs1(sK1)),$sum(sF10,X4))
| $less($sum(sF10,X4),0)
| ( 0 = sK1 )
| ~ $less($sum(sF10,X4),sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f161,f1132]) ).
tff(f23319,plain,
( spl11_423
| spl11_424
| spl11_422 ),
inference(avatar_split_clause,[],[f23297,f23265,f23317,f23314]) ).
tff(f23317,plain,
( spl11_424
<=> ( 1 = sF7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_424])]) ).
tff(f23265,plain,
( spl11_422
<=> $less(sF7,1) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_422])]) ).
tff(f23297,plain,
( ( 1 = sF7 )
| $less(1,sF7)
| spl11_422 ),
inference(resolution,[],[f23266,f54]) ).
tff(f23266,plain,
( ~ $less(sF7,1)
| spl11_422 ),
inference(avatar_component_clause,[],[f23265]) ).
tff(f23296,plain,
( spl11_53
| spl11_121
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f17777,f982,f264,f191,f2274,f951]) ).
tff(f2274,plain,
( spl11_121
<=> ! [X1: $int] :
( ( $sum(X1,sF10) = $sum(mod1($sum(X1,sF10),sK1),$product(sK1,$sum(sK1,div1(X1,sK1)))) )
| $less(X1,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_121])]) ).
tff(f17777,plain,
( ! [X1: $int] :
( $less(X1,0)
| ( $sum(X1,sF10) = $sum(mod1($sum(X1,sF10),sK1),$product(sK1,$sum(sK1,div1(X1,sK1)))) )
| ( 0 = sK1 ) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f17763,f47]) ).
tff(f17763,plain,
( ! [X1: $int] :
( ( $sum(X1,sF10) = $sum($product(sK1,$sum(sK1,div1(X1,sK1))),mod1($sum(X1,sF10),sK1)) )
| $less(X1,0)
| ( 0 = sK1 ) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f128,f1143]) ).
tff(f23267,plain,
( ~ spl11_422
| ~ spl11_17
| ~ spl11_117 ),
inference(avatar_split_clause,[],[f23259,f2041,f255,f23265]) ).
tff(f23259,plain,
( ~ $less(sF7,1)
| ~ spl11_17
| ~ spl11_117 ),
inference(subsumption_resolution,[],[f23243,f2042]) ).
tff(f23243,plain,
( ~ $less(sF7,1)
| ~ $less(sK1,sF8)
| ~ spl11_17 ),
inference(resolution,[],[f412,f338]) ).
tff(f412,plain,
( ! [X19: $int] :
( $less(sF8,$sum(X19,sK1))
| ~ $less(sF7,X19) )
| ~ spl11_17 ),
inference(superposition,[],[f55,f256]) ).
tff(f23263,plain,
( ~ spl11_421
| ~ spl11_12
| spl11_106 ),
inference(avatar_split_clause,[],[f23219,f1726,f235,f23261]) ).
tff(f23261,plain,
( spl11_421
<=> $less(sK2,-1) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_421])]) ).
tff(f23219,plain,
( ~ $less(sK2,-1)
| ~ spl11_12
| spl11_106 ),
inference(subsumption_resolution,[],[f23217,f3891]) ).
tff(f23217,plain,
( $less(sF3,0)
| ~ $less(sK2,-1)
| ~ spl11_12 ),
inference(evaluation,[],[f23210]) ).
tff(f23210,plain,
( $less(sF3,0)
| ~ $less(sK2,$uminus(1))
| ~ spl11_12 ),
inference(superposition,[],[f411,f267]) ).
tff(f411,plain,
( ! [X18: $int] :
( $less(sF3,$sum(X18,1))
| ~ $less(sK2,X18) )
| ~ spl11_12 ),
inference(superposition,[],[f55,f236]) ).
tff(f23145,plain,
( spl11_409
| spl11_412
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| spl11_292
| ~ spl11_390 ),
inference(avatar_split_clause,[],[f23081,f19798,f13375,f982,f264,f243,f191,f21445,f20511]) ).
tff(f20511,plain,
( spl11_409
<=> ! [X0: $int] :
( $less($uminus(sF6),X0)
| $less(X0,sF10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_409])]) ).
tff(f21445,plain,
( spl11_412
<=> $less($uminus(sF6),sF5) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_412])]) ).
tff(f23081,plain,
( ! [X16: $int] :
( $less($uminus(sF6),sF5)
| $less($uminus(sF6),X16)
| $less(X16,sF10) )
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| spl11_292
| ~ spl11_390 ),
inference(resolution,[],[f23045,f19799]) ).
tff(f23045,plain,
( ! [X0: $int,X1: $int] :
( ~ $less(X1,0)
| $less(X1,X0)
| $less(X0,sF10)
| $less(X1,sF5) )
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| spl11_292 ),
inference(resolution,[],[f23007,f332]) ).
tff(f23071,plain,
( spl11_420
| ~ spl11_12
| ~ spl11_14
| ~ spl11_34 ),
inference(avatar_split_clause,[],[f23006,f590,f243,f235,f23069]) ).
tff(f23006,plain,
( $less(sF5,sF3)
| ~ spl11_12
| ~ spl11_14
| ~ spl11_34 ),
inference(subsumption_resolution,[],[f23002,f591]) ).
tff(f23002,plain,
( ~ $less(sK1,sK2)
| $less(sF5,sF3)
| ~ spl11_12
| ~ spl11_14 ),
inference(superposition,[],[f410,f236]) ).
tff(f22804,plain,
( spl11_53
| spl11_290
| ~ spl11_289
| ~ spl11_2
| ~ spl11_19
| ~ spl11_20
| spl11_58 ),
inference(avatar_split_clause,[],[f21996,f982,f301,f264,f191,f13112,f13115,f951]) ).
tff(f13115,plain,
( spl11_290
<=> ! [X6: $int] :
( $less(X6,sF10)
| $less($uminus(sF5),X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_290])]) ).
tff(f21996,plain,
( ! [X27: $int] :
( ~ $less($uminus(sF5),0)
| $less(X27,sF10)
| $less($uminus(sF5),X27)
| ( 0 = sK1 ) )
| ~ spl11_2
| ~ spl11_19
| ~ spl11_20
| spl11_58 ),
inference(superposition,[],[f267,f12763]) ).
tff(f12763,plain,
( ! [X0: $int,X1: $int] :
( ( sK1 = $sum(X0,sF5) )
| ~ $less(X0,0)
| $less(X0,X1)
| $less(X1,sF10) )
| ~ spl11_2
| ~ spl11_19
| ~ spl11_20
| spl11_58 ),
inference(superposition,[],[f8271,f302]) ).
tff(f8271,plain,
( ! [X11: $int,X12: $int,X13: $int] :
( ( $sum(X11,$sum(1,X12)) = X12 )
| $less(X13,sF10)
| ~ $less(X11,0)
| $less(X11,X13) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f8201,f274]) ).
tff(f8201,plain,
( ! [X11: $int,X12: $int,X13: $int] :
( $less(X11,X13)
| $less(X13,sF10)
| ~ $less(X11,0)
| ( $sum(X11,$sum(1,X12)) = $sum(0,X12) ) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f48,f8141]) ).
tff(f22748,plain,
( spl11_326
| spl11_327
| spl11_354
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_278
| ~ spl11_400 ),
inference(avatar_split_clause,[],[f22729,f20243,f11316,f982,f264,f191,f17026,f16469,f16466]) ).
tff(f22729,plain,
( ! [X12: $int] :
( ( sK2 = -1 )
| $less(-1,sF3)
| $less(sK2,X12)
| $less(X12,sF10) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_278
| ~ spl11_400 ),
inference(resolution,[],[f20428,f16424]) ).
tff(f22417,plain,
( spl11_53
| spl11_290
| ~ spl11_289
| ~ spl11_2
| ~ spl11_19
| ~ spl11_20
| spl11_58 ),
inference(avatar_split_clause,[],[f21981,f982,f301,f264,f191,f13112,f13115,f951]) ).
tff(f21981,plain,
( ! [X6: $int] :
( ~ $less($uminus(sF5),0)
| $less(X6,sF10)
| $less($uminus(sF5),X6)
| ( 0 = sK1 ) )
| ~ spl11_2
| ~ spl11_19
| ~ spl11_20
| spl11_58 ),
inference(superposition,[],[f12763,f267]) ).
tff(f22050,plain,
( spl11_409
| spl11_419
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_390 ),
inference(avatar_split_clause,[],[f21311,f19798,f982,f264,f191,f22034,f20511]) ).
tff(f22034,plain,
( spl11_419
<=> ! [X3: $int] :
( $less(X3,0)
| $less($uminus(sF6),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_419])]) ).
tff(f21311,plain,
( ! [X3: $int,X4: $int] :
( $less(X3,0)
| $less($uminus(sF6),X3)
| $less(X4,sF10)
| $less($uminus(sF6),X4) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_390 ),
inference(resolution,[],[f19799,f8195]) ).
tff(f8195,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X0,0)
| $less(X0,X1)
| $less(X2,sF10)
| $less(X0,X2)
| $less(X1,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f56,f8141]) ).
tff(f22049,plain,
( spl11_53
| spl11_119
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f17648,f982,f264,f191,f2149,f951]) ).
tff(f2149,plain,
( spl11_119
<=> ! [X1: $int] :
( $less(X1,0)
| ( $sum(X1,sF10) = $sum(mod1(X1,sK1),$product(sK1,div1($sum(X1,sF10),sK1))) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_119])]) ).
tff(f17648,plain,
( ! [X1: $int] :
( ( $sum(X1,sF10) = $sum(mod1(X1,sK1),$product(sK1,div1($sum(X1,sF10),sK1))) )
| $less(X1,0)
| ( 0 = sK1 ) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f17637,f47]) ).
tff(f17637,plain,
( ! [X1: $int] :
( ( $sum(X1,sF10) = $sum($product(sK1,div1($sum(X1,sF10),sK1)),mod1(X1,sK1)) )
| $less(X1,0)
| ( 0 = sK1 ) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f128,f1130]) ).
tff(f22036,plain,
( spl11_409
| spl11_419
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_390 ),
inference(avatar_split_clause,[],[f20029,f19798,f982,f264,f191,f22034,f20511]) ).
tff(f20029,plain,
( ! [X3: $int,X4: $int] :
( $less(X3,0)
| $less($uminus(sF6),X3)
| $less(X4,sF10)
| $less($uminus(sF6),X4) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_390 ),
inference(resolution,[],[f19799,f8195]) ).
tff(f21961,plain,
( spl11_417
| spl11_418
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_390 ),
inference(avatar_split_clause,[],[f21773,f19798,f982,f264,f191,f21959,f21956]) ).
tff(f21959,plain,
( spl11_418
<=> ( 0 = $uminus(abs1(abs1($uminus(sF6)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_418])]) ).
tff(f21773,plain,
( ( 0 = $uminus(abs1(abs1($uminus(sF6)))) )
| $less($uminus(abs1(abs1($uminus(sF6)))),sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_390 ),
inference(resolution,[],[f20279,f322]) ).
tff(f20279,plain,
( ! [X16: $int] :
( $less(X16,abs1($uminus(sF6)))
| ( 0 = $uminus(X16) )
| $less($uminus(X16),sF10) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_390 ),
inference(resolution,[],[f20026,f148]) ).
tff(f21878,plain,
( spl11_392
| ~ spl11_164
| ~ spl11_405 ),
inference(avatar_split_clause,[],[f21643,f20496,f3764,f20055]) ).
tff(f21643,plain,
( $less($uminus(sF6),sF10)
| ~ spl11_164
| ~ spl11_405 ),
inference(resolution,[],[f20497,f3950]) ).
tff(f21848,plain,
( spl11_308
| spl11_416
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_68 ),
inference(avatar_split_clause,[],[f21230,f1173,f982,f264,f243,f191,f21846,f14195]) ).
tff(f21846,plain,
( spl11_416
<=> ! [X41: $int] :
( $less(sK1,X41)
| ( 0 = X41 )
| $less(X41,sF10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_416])]) ).
tff(f21230,plain,
( ! [X41: $int] :
( $less(sK1,X41)
| $less($uminus(sF10),sF5)
| $less(X41,sF10)
| ( 0 = X41 ) )
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_68 ),
inference(resolution,[],[f332,f1797]) ).
tff(f1797,plain,
( ! [X0: $int,X1: $int] :
( ~ $less(X1,$uminus(sF10))
| $less(X1,X0)
| ( 0 = X0 )
| $less(X0,sF10) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_68 ),
inference(resolution,[],[f1688,f53]) ).
tff(f21844,plain,
( spl11_392
| ~ spl11_10
| ~ spl11_395 ),
inference(avatar_split_clause,[],[f21345,f20094,f224,f20055]) ).
tff(f21345,plain,
( $less($uminus(sF6),sF10)
| ~ spl11_10
| ~ spl11_395 ),
inference(resolution,[],[f20095,f362]) ).
tff(f21807,plain,
( spl11_404
| ~ spl11_46
| ~ spl11_394 ),
inference(avatar_split_clause,[],[f21335,f20090,f852,f20461]) ).
tff(f20461,plain,
( spl11_404
<=> $less($uminus(sF6),sF3) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_404])]) ).
tff(f21335,plain,
( $less($uminus(sF6),sF3)
| ~ spl11_46
| ~ spl11_394 ),
inference(resolution,[],[f20091,f860]) ).
tff(f21806,plain,
( spl11_414
| spl11_415
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_390 ),
inference(avatar_split_clause,[],[f21768,f19798,f982,f264,f191,f21804,f21801]) ).
tff(f21801,plain,
( spl11_414
<=> ( 0 = $uminus(abs1($uminus(sF6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_414])]) ).
tff(f21804,plain,
( spl11_415
<=> $less($uminus(abs1($uminus(sF6))),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_415])]) ).
tff(f21768,plain,
( $less($uminus(abs1($uminus(sF6))),sF10)
| ( 0 = $uminus(abs1($uminus(sF6))) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_390 ),
inference(resolution,[],[f20279,f52]) ).
tff(f21766,plain,
( spl11_392
| ~ spl11_56
| ~ spl11_394 ),
inference(avatar_split_clause,[],[f21332,f20090,f973,f20055]) ).
tff(f21332,plain,
( $less($uminus(sF6),sF10)
| ~ spl11_56
| ~ spl11_394 ),
inference(resolution,[],[f20091,f2385]) ).
tff(f21655,plain,
( ~ spl11_270
| spl11_167
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f20995,f9363,f1276,f982,f264,f191,f3884,f9688]) ).
tff(f9688,plain,
( spl11_270
<=> $less($sum(sF10,sF10),$sum(sK1,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_270])]) ).
tff(f3884,plain,
( spl11_167
<=> $less($sum(sF10,sF10),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_167])]) ).
tff(f20995,plain,
( $less($sum(sF10,sF10),0)
| ~ $less($sum(sF10,sF10),$sum(sK1,sK1))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74
| ~ spl11_263 ),
inference(subsumption_resolution,[],[f20985,f1277]) ).
tff(f20985,plain,
( ~ $less($sum(sF10,sF10),$sum(sK1,sK1))
| $less($sum(sF10,sF10),0)
| $less(sF10,0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(superposition,[],[f1223,f9364]) ).
tff(f1223,plain,
( ! [X5: $int] :
( ~ $less($sum(X5,sF10),$sum(sK1,div1(X5,sK1)))
| $less($sum(X5,sF10),0)
| $less(X5,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(subsumption_resolution,[],[f1218,f192]) ).
tff(f1218,plain,
( ! [X5: $int] :
( $less($sum(X5,sF10),0)
| ~ $less($sum(X5,sF10),$sum(sK1,div1(X5,sK1)))
| ~ $less(0,sK1)
| $less(X5,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f143,f1143]) ).
tff(f21654,plain,
( spl11_413
| spl11_409
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_390 ),
inference(avatar_split_clause,[],[f21313,f19798,f982,f264,f191,f20511,f21559]) ).
tff(f21559,plain,
( spl11_413
<=> ( $uminus(sF6) = -1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_413])]) ).
tff(f21313,plain,
( ! [X7: $int] :
( $less($uminus(sF6),X7)
| $less(X7,sF10)
| ( $uminus(sF6) = -1 ) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_390 ),
inference(resolution,[],[f19799,f12850]) ).
tff(f12850,plain,
( ! [X16: $int,X17: $int] :
( ~ $less(X16,0)
| $less(X16,X17)
| ( -1 = X16 )
| $less(X17,sF10) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f12833,f49]) ).
tff(f12833,plain,
( ! [X16: $int,X17: $int] :
( ( $sum(X16,0) = -1 )
| $less(X16,X17)
| $less(X17,sF10)
| ~ $less(X16,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(evaluation,[],[f12769]) ).
tff(f12769,plain,
( ! [X16: $int,X17: $int] :
( ~ $less(X16,0)
| $less(X17,sF10)
| ( $uminus(1) = $sum(X16,0) )
| $less(X16,X17) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f8271,f51]) ).
tff(f21653,plain,
( spl11_404
| ~ spl11_47
| ~ spl11_390 ),
inference(avatar_split_clause,[],[f21306,f19798,f856,f20461]) ).
tff(f21306,plain,
( $less($uminus(sF6),sF3)
| ~ spl11_47
| ~ spl11_390 ),
inference(resolution,[],[f19799,f861]) ).
tff(f21652,plain,
( spl11_403
| spl11_392
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_399 ),
inference(avatar_split_clause,[],[f21634,f20216,f982,f264,f191,f20055,f20430]) ).
tff(f20430,plain,
( spl11_403
<=> ( 0 = $uminus(sF6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_403])]) ).
tff(f21634,plain,
( $less($uminus(sF6),sF10)
| ( 0 = $uminus(sF6) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_399 ),
inference(resolution,[],[f20217,f4427]) ).
tff(f4427,plain,
( ! [X0: $int] :
( ~ $less($uminus(X0),X0)
| $less($uminus(X0),sF10)
| ( 0 = $uminus(X0) ) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(factoring,[],[f2905]) ).
tff(f2905,plain,
( ! [X0: $int,X1: $int] :
( $less($uminus(X0),sF10)
| $less(X1,sF10)
| ~ $less(X1,X0)
| ( 0 = $uminus(X0) ) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f2152,f57]) ).
tff(f2152,plain,
( ! [X0: $int,X1: $int] :
( ~ $less(X1,$uminus(X0))
| ( 0 = X0 )
| $less(X1,sF10)
| $less(X0,sF10) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(resolution,[],[f2137,f53]) ).
tff(f2137,plain,
( ! [X3: $int] :
( $less($uminus(X3),sF10)
| $less(X3,sF10)
| ( 0 = X3 ) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(resolution,[],[f1888,f1404]) ).
tff(f21651,plain,
( spl11_392
| spl11_157
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_399 ),
inference(avatar_split_clause,[],[f21635,f20216,f982,f264,f191,f3480,f20055]) ).
tff(f3480,plain,
( spl11_157
<=> ( 0 = sF6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_157])]) ).
tff(f21635,plain,
( ( 0 = sF6 )
| $less($uminus(sF6),sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_399 ),
inference(resolution,[],[f20217,f3902]) ).
tff(f21633,plain,
( spl11_325
| spl11_330
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_278 ),
inference(avatar_split_clause,[],[f21214,f11316,f982,f264,f243,f191,f16494,f16459]) ).
tff(f16494,plain,
( spl11_330
<=> $less($uminus(abs1(1)),sF5) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_330])]) ).
tff(f21214,plain,
( ! [X38: $int] :
( $less($uminus(abs1(1)),sF5)
| $less(sK1,X38)
| $less(X38,sF10) )
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_278 ),
inference(resolution,[],[f332,f15747]) ).
tff(f21626,plain,
( spl11_409
| spl11_408
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_390 ),
inference(avatar_split_clause,[],[f21300,f19798,f982,f264,f191,f20508,f20511]) ).
tff(f20508,plain,
( spl11_408
<=> ( 1 = sF6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_408])]) ).
tff(f21300,plain,
( ! [X0: $int] :
( ( 1 = sF6 )
| $less($uminus(sF6),X0)
| $less(X0,sF10) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_390 ),
inference(resolution,[],[f19799,f15415]) ).
tff(f15415,plain,
( ! [X31: $int,X32: $int] :
( ~ $less($uminus(X31),0)
| ( 1 = X31 )
| $less(X32,sF10)
| $less($uminus(X31),X32) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(evaluation,[],[f15351]) ).
tff(f15351,plain,
( ! [X31: $int,X32: $int] :
( $less($uminus(X31),X32)
| ~ $less($uminus(X31),0)
| $less(X32,sF10)
| ( $sum(1,0) = X31 ) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f8616,f267]) ).
tff(f21625,plain,
( spl11_392
| ~ spl11_10
| ~ spl11_395 ),
inference(avatar_split_clause,[],[f20174,f20094,f224,f20055]) ).
tff(f20174,plain,
( $less($uminus(sF6),sF10)
| ~ spl11_10
| ~ spl11_395 ),
inference(resolution,[],[f20095,f362]) ).
tff(f21562,plain,
( spl11_399
| ~ spl11_8
| ~ spl11_395 ),
inference(avatar_split_clause,[],[f20173,f20094,f215,f20216]) ).
tff(f20173,plain,
( $less($uminus(sF6),sF6)
| ~ spl11_8
| ~ spl11_395 ),
inference(resolution,[],[f20095,f361]) ).
tff(f21561,plain,
( spl11_409
| spl11_413
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_390 ),
inference(avatar_split_clause,[],[f20031,f19798,f982,f264,f191,f21559,f20511]) ).
tff(f20031,plain,
( ! [X7: $int] :
( ( $uminus(sF6) = -1 )
| $less($uminus(sF6),X7)
| $less(X7,sF10) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_390 ),
inference(resolution,[],[f19799,f12850]) ).
tff(f21557,plain,
( spl11_398
| ~ spl11_7
| ~ spl11_395 ),
inference(avatar_split_clause,[],[f20172,f20094,f211,f20212]) ).
tff(f20172,plain,
( $less($uminus(sF6),sF4)
| ~ spl11_7
| ~ spl11_395 ),
inference(resolution,[],[f20095,f360]) ).
tff(f21542,plain,
( spl11_404
| ~ spl11_46
| ~ spl11_394 ),
inference(avatar_split_clause,[],[f20164,f20090,f852,f20461]) ).
tff(f20164,plain,
( $less($uminus(sF6),sF3)
| ~ spl11_46
| ~ spl11_394 ),
inference(resolution,[],[f20091,f860]) ).
tff(f21541,plain,
( spl11_100
| spl11_53
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f17768,f982,f264,f191,f951,f1663]) ).
tff(f1663,plain,
( spl11_100
<=> ! [X2: $int] :
( $less(X2,0)
| ~ $less(abs1($sum(X2,sF10)),abs1($product(sK1,$sum(sK1,div1(X2,sK1))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_100])]) ).
tff(f17768,plain,
( ! [X6: $int] :
( ( 0 = sK1 )
| $less(X6,0)
| ~ $less(abs1($sum(X6,sF10)),abs1($product(sK1,$sum(sK1,div1(X6,sK1))))) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f653,f1143]) ).
tff(f21540,plain,
( spl11_392
| ~ spl11_56
| ~ spl11_394 ),
inference(avatar_split_clause,[],[f20161,f20090,f973,f20055]) ).
tff(f20161,plain,
( $less($uminus(sF6),sF10)
| ~ spl11_56
| ~ spl11_394 ),
inference(resolution,[],[f20091,f2385]) ).
tff(f21539,plain,
( spl11_265
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(avatar_split_clause,[],[f21516,f1276,f982,f264,f191,f9569]) ).
tff(f21516,plain,
( ( sK1 = $sum(sK1,div1(0,sK1)) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(forward_demodulation,[],[f21495,f274]) ).
tff(f21495,plain,
( ( $sum(0,sK1) = $sum(sK1,div1(0,sK1)) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(evaluation,[],[f21494]) ).
tff(f21494,plain,
( $less(0,0)
| ( $sum(0,sK1) = $sum(sK1,div1(0,sK1)) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(duplicate_literal_removal,[],[f21477]) ).
tff(f21477,plain,
( $less(0,0)
| ( $sum(0,sK1) = $sum(sK1,div1(0,sK1)) )
| $less(0,0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(superposition,[],[f9361,f61]) ).
tff(f9361,plain,
( ! [X1: $int] :
( ( $sum(sK1,div1($product(sK1,X1),sK1)) = $sum(X1,sK1) )
| $less(X1,0)
| $less($product(sK1,X1),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(backward_demodulation,[],[f2358,f9158]) ).
tff(f9158,plain,
( ( sK1 = div1(sF10,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(evaluation,[],[f9157]) ).
tff(f9157,plain,
( ( sK1 = div1(sF10,sK1) )
| $less(0,0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(forward_demodulation,[],[f9156,f61]) ).
tff(f9156,plain,
( ( sK1 = div1(sF10,sK1) )
| $less($product(sK1,0),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(subsumption_resolution,[],[f9155,f192]) ).
tff(f9155,plain,
( ~ $less(0,sK1)
| ( sK1 = div1(sF10,sK1) )
| $less($product(sK1,0),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(forward_demodulation,[],[f9104,f61]) ).
tff(f9104,plain,
( ( sK1 = div1(sF10,sK1) )
| ~ $less($product(sK1,0),sK1)
| $less($product(sK1,0),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(evaluation,[],[f9020]) ).
tff(f9020,plain,
( ( sK1 = div1(sF10,sK1) )
| ~ $less($product(sK1,0),sK1)
| $less(0,0)
| $less($product(sK1,0),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(superposition,[],[f2431,f274]) ).
tff(f2431,plain,
( ! [X0: $int] :
( ( $sum(X0,div1(sF10,sK1)) = sK1 )
| ~ $less($product(sK1,X0),sK1)
| $less(X0,0)
| $less($product(sK1,X0),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(forward_demodulation,[],[f2420,f49]) ).
tff(f2420,plain,
( ! [X0: $int] :
( $less($product(sK1,X0),0)
| ~ $less($product(sK1,X0),sK1)
| $less(X0,0)
| ( $sum(X0,div1(sF10,sK1)) = $sum(sK1,0) ) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(duplicate_literal_removal,[],[f2390]) ).
tff(f2390,plain,
( ! [X0: $int] :
( ~ $less($product(sK1,X0),sK1)
| ( $sum(X0,div1(sF10,sK1)) = $sum(sK1,0) )
| $less($product(sK1,X0),0)
| $less($product(sK1,X0),0)
| $less(X0,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(superposition,[],[f2358,f156]) ).
tff(f2358,plain,
( ! [X1: $int] :
( ( $sum(sK1,div1($product(sK1,X1),sK1)) = $sum(X1,div1(sF10,sK1)) )
| $less($product(sK1,X1),0)
| $less(X1,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(subsumption_resolution,[],[f1224,f1277]) ).
tff(f1224,plain,
( ! [X1: $int] :
( $less(X1,0)
| $less(sF10,0)
| ( $sum(sK1,div1($product(sK1,X1),sK1)) = $sum(X1,div1(sF10,sK1)) )
| $less($product(sK1,X1),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(subsumption_resolution,[],[f1211,f192]) ).
tff(f1211,plain,
( ! [X1: $int] :
( ~ $less(0,sK1)
| $less(sF10,0)
| $less($product(sK1,X1),0)
| ( $sum(sK1,div1($product(sK1,X1),sK1)) = $sum(X1,div1(sF10,sK1)) )
| $less(X1,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1143,f151]) ).
tff(f21538,plain,
( spl11_266
| ~ spl11_2
| ~ spl11_19
| ~ spl11_20
| spl11_58
| spl11_74 ),
inference(avatar_split_clause,[],[f21509,f1276,f982,f301,f264,f191,f9573]) ).
tff(f21509,plain,
( ( $sum(sK1,div1(sK1,sK1)) = sF5 )
| ~ spl11_2
| ~ spl11_19
| ~ spl11_20
| spl11_58
| spl11_74 ),
inference(forward_demodulation,[],[f21508,f302]) ).
tff(f21508,plain,
( ( $sum(sK1,div1(sK1,sK1)) = $sum(1,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(subsumption_resolution,[],[f21504,f983]) ).
tff(f21504,plain,
( ( $sum(sK1,div1(sK1,sK1)) = $sum(1,sK1) )
| $less(sK1,0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(evaluation,[],[f21476]) ).
tff(f21476,plain,
( $less(1,0)
| $less(sK1,0)
| ( $sum(sK1,div1(sK1,sK1)) = $sum(1,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(superposition,[],[f9361,f60]) ).
tff(f21454,plain,
( spl11_308
| spl11_325
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_68 ),
inference(avatar_split_clause,[],[f21234,f1173,f982,f264,f243,f191,f16459,f14195]) ).
tff(f21234,plain,
( ! [X42: $int] :
( $less(sK1,X42)
| $less($uminus(sF10),sF5)
| $less(X42,sF10) )
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_68 ),
inference(resolution,[],[f332,f8385]) ).
tff(f8385,plain,
( ! [X11: $int,X12: $int] :
( ~ $less(X11,$uminus(sF10))
| $less(X11,X12)
| $less(X12,sF10) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_68 ),
inference(resolution,[],[f8267,f1174]) ).
tff(f21447,plain,
( spl11_325
| spl11_412
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_390 ),
inference(avatar_split_clause,[],[f21224,f19798,f982,f264,f243,f191,f21445,f16459]) ).
tff(f21224,plain,
( ! [X40: $int] :
( $less($uminus(sF6),sF5)
| $less(X40,sF10)
| $less(sK1,X40) )
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_390 ),
inference(resolution,[],[f332,f20030]) ).
tff(f20030,plain,
( ! [X6: $int,X5: $int] :
( ~ $less(X5,$uminus(sF6))
| $less(X5,X6)
| $less(X6,sF10) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_390 ),
inference(resolution,[],[f19799,f8267]) ).
tff(f21392,plain,
( spl11_109
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(avatar_split_clause,[],[f21389,f1276,f982,f264,f191,f1861]) ).
tff(f1861,plain,
( spl11_109
<=> ( mod1(sF10,sK1) = mod1(sK1,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_109])]) ).
tff(f21389,plain,
( ( mod1(sF10,sK1) = mod1(sK1,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(subsumption_resolution,[],[f21388,f1277]) ).
tff(f21388,plain,
( ( mod1(sF10,sK1) = mod1(sK1,sK1) )
| $less(sF10,0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(subsumption_resolution,[],[f21362,f983]) ).
tff(f21362,plain,
( $less(sK1,0)
| $less(sF10,0)
| ( mod1(sF10,sK1) = mod1(sK1,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(superposition,[],[f21156,f265]) ).
tff(f21156,plain,
( ! [X1: $int] :
( ( mod1($product(sK1,X1),sK1) = mod1(sK1,sK1) )
| $less($product(sK1,X1),0)
| $less(X1,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(backward_demodulation,[],[f17650,f21122]) ).
tff(f21122,plain,
( ( mod1(sF10,sK1) = mod1(sK1,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(subsumption_resolution,[],[f21112,f983]) ).
tff(f21112,plain,
( $less(sK1,0)
| ( mod1(sF10,sK1) = mod1(sK1,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(evaluation,[],[f21095]) ).
tff(f21095,plain,
( $less(1,0)
| ( mod1(sF10,sK1) = mod1(sK1,sK1) )
| $less(sK1,0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(superposition,[],[f17647,f60]) ).
tff(f17647,plain,
( ! [X0: $int] :
( ( mod1(sF10,sK1) = mod1($product(sK1,X0),sK1) )
| $less($product(sK1,X0),0)
| $less(X0,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(subsumption_resolution,[],[f17646,f1277]) ).
tff(f17646,plain,
( ! [X0: $int] :
( $less(sF10,0)
| ( mod1(sF10,sK1) = mod1($product(sK1,X0),sK1) )
| $less($product(sK1,X0),0)
| $less(X0,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(subsumption_resolution,[],[f17636,f192]) ).
tff(f17636,plain,
( ! [X0: $int] :
( $less(X0,0)
| ~ $less(0,sK1)
| $less(sF10,0)
| ( mod1(sF10,sK1) = mod1($product(sK1,X0),sK1) )
| $less($product(sK1,X0),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f147,f1130]) ).
tff(f17650,plain,
( ! [X1: $int] :
( ( mod1(sF10,sK1) = mod1($product(sK1,X1),sK1) )
| $less(X1,0)
| $less($product(sK1,X1),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(subsumption_resolution,[],[f17649,f1277]) ).
tff(f17649,plain,
( ! [X1: $int] :
( $less($product(sK1,X1),0)
| $less(X1,0)
| ( mod1(sF10,sK1) = mod1($product(sK1,X1),sK1) )
| $less(sF10,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(subsumption_resolution,[],[f17634,f192]) ).
tff(f17634,plain,
( ! [X1: $int] :
( ~ $less(0,sK1)
| $less(sF10,0)
| $less(X1,0)
| $less($product(sK1,X1),0)
| ( mod1(sF10,sK1) = mod1($product(sK1,X1),sK1) ) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1130,f147]) ).
tff(f21391,plain,
( spl11_116
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(avatar_split_clause,[],[f21385,f1276,f982,f264,f191,f1979]) ).
tff(f21385,plain,
( ( mod1(0,sK1) = mod1(sK1,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(evaluation,[],[f21384]) ).
tff(f21384,plain,
( ( mod1(0,sK1) = mod1(sK1,sK1) )
| $less(0,0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(duplicate_literal_removal,[],[f21363]) ).
tff(f21363,plain,
( $less(0,0)
| ( mod1(0,sK1) = mod1(sK1,sK1) )
| $less(0,0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(superposition,[],[f21156,f61]) ).
tff(f21361,plain,
( spl11_325
| spl11_309
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_174 ),
inference(avatar_split_clause,[],[f21223,f4212,f982,f264,f243,f191,f14199,f16459]) ).
tff(f21223,plain,
( ! [X39: $int] :
( $less($uminus(sF4),sF5)
| $less(sK1,X39)
| $less(X39,sF10) )
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_174 ),
inference(resolution,[],[f332,f8388]) ).
tff(f8388,plain,
( ! [X21: $int,X20: $int] :
( ~ $less(X20,$uminus(sF4))
| $less(X21,sF10)
| $less(X20,X21) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_174 ),
inference(resolution,[],[f8267,f4213]) ).
tff(f21360,plain,
( spl11_326
| spl11_404
| ~ spl11_2
| ~ spl11_12
| ~ spl11_19
| spl11_58
| ~ spl11_390 ),
inference(avatar_split_clause,[],[f21027,f19798,f982,f264,f235,f191,f20461,f16466]) ).
tff(f21027,plain,
( ! [X27: $int] :
( $less($uminus(sF6),sF3)
| $less(sK2,X27)
| $less(X27,sF10) )
| ~ spl11_2
| ~ spl11_12
| ~ spl11_19
| spl11_58
| ~ spl11_390 ),
inference(resolution,[],[f20030,f333]) ).
tff(f21321,plain,
( spl11_392
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_390 ),
inference(avatar_split_clause,[],[f21307,f19798,f982,f264,f191,f20055]) ).
tff(f21307,plain,
( $less($uminus(sF6),sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_390 ),
inference(resolution,[],[f19799,f1404]) ).
tff(f21290,plain,
( spl11_152
| ~ spl11_10
| ~ spl11_304 ),
inference(avatar_split_clause,[],[f21066,f14008,f224,f3439]) ).
tff(f21066,plain,
( $less(sF5,sF10)
| ~ spl11_10
| ~ spl11_304 ),
inference(resolution,[],[f14009,f362]) ).
tff(f21289,plain,
( spl11_324
| spl11_325
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_278 ),
inference(avatar_split_clause,[],[f21277,f11316,f982,f264,f243,f191,f16459,f16456]) ).
tff(f21277,plain,
( ! [X50: $int] :
( $less(X50,sF10)
| $less(sK1,X50)
| $less(-1,sF5) )
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_278 ),
inference(resolution,[],[f332,f16423]) ).
tff(f21288,plain,
( spl11_109
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(avatar_split_clause,[],[f21153,f1276,f982,f264,f191,f1861]) ).
tff(f21153,plain,
( ( mod1(sF10,sK1) = mod1(sK1,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(subsumption_resolution,[],[f21148,f983]) ).
tff(f21148,plain,
( $less(sK1,0)
| ( mod1(sF10,sK1) = mod1(sK1,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(evaluation,[],[f21127]) ).
tff(f21127,plain,
( ( mod1(sF10,sK1) = mod1(sK1,sK1) )
| $less(1,0)
| $less(sK1,0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(superposition,[],[f17650,f60]) ).
tff(f21287,plain,
( spl11_309
| ~ spl11_14
| spl11_58
| ~ spl11_174 ),
inference(avatar_split_clause,[],[f21284,f4212,f982,f243,f14199]) ).
tff(f21284,plain,
( $less($uminus(sF4),sF5)
| ~ spl11_14
| spl11_58
| ~ spl11_174 ),
inference(subsumption_resolution,[],[f21215,f983]) ).
tff(f21215,plain,
( $less(sK1,0)
| $less($uminus(sF4),sF5)
| ~ spl11_14
| ~ spl11_174 ),
inference(resolution,[],[f332,f4781]) ).
tff(f21286,plain,
( spl11_152
| ~ spl11_138
| ~ spl11_299 ),
inference(avatar_split_clause,[],[f21057,f13676,f2816,f3439]) ).
tff(f21057,plain,
( $less(sF5,sF10)
| ~ spl11_138
| ~ spl11_299 ),
inference(resolution,[],[f13677,f2961]) ).
tff(f21285,plain,
( spl11_308
| ~ spl11_14
| spl11_58
| ~ spl11_68 ),
inference(avatar_split_clause,[],[f21279,f1173,f982,f243,f14195]) ).
tff(f21279,plain,
( $less($uminus(sF10),sF5)
| ~ spl11_14
| spl11_58
| ~ spl11_68 ),
inference(subsumption_resolution,[],[f21225,f983]) ).
tff(f21225,plain,
( $less(sK1,0)
| $less($uminus(sF10),sF5)
| ~ spl11_14
| ~ spl11_68 ),
inference(resolution,[],[f332,f1272]) ).
tff(f21166,plain,
( spl11_64
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(avatar_split_clause,[],[f21147,f1276,f982,f264,f191,f1158]) ).
tff(f21147,plain,
( ( mod1(sF10,sK1) = mod1(0,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(evaluation,[],[f21146]) ).
tff(f21146,plain,
( ( mod1(sF10,sK1) = mod1(0,sK1) )
| $less(0,0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(duplicate_literal_removal,[],[f21128]) ).
tff(f21128,plain,
( $less(0,0)
| ( mod1(sF10,sK1) = mod1(0,sK1) )
| $less(0,0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(superposition,[],[f17650,f61]) ).
tff(f21157,plain,
( spl11_109
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(avatar_split_clause,[],[f21122,f1276,f982,f264,f191,f1861]) ).
tff(f21155,plain,
( spl11_340
| ~ spl11_8
| ~ spl11_331 ),
inference(avatar_split_clause,[],[f20917,f16506,f215,f16926]) ).
tff(f16926,plain,
( spl11_340
<=> $less(-1,sF6) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_340])]) ).
tff(f20917,plain,
( $less(-1,sF6)
| ~ spl11_8
| ~ spl11_331 ),
inference(resolution,[],[f361,f16507]) ).
tff(f21126,plain,
( spl11_64
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(avatar_split_clause,[],[f21120,f1276,f982,f264,f191,f1158]) ).
tff(f21120,plain,
( ( mod1(sF10,sK1) = mod1(0,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(evaluation,[],[f21119]) ).
tff(f21119,plain,
( $less(0,0)
| ( mod1(sF10,sK1) = mod1(0,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(duplicate_literal_removal,[],[f21096]) ).
tff(f21096,plain,
( $less(0,0)
| ( mod1(sF10,sK1) = mod1(0,sK1) )
| $less(0,0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(superposition,[],[f17647,f61]) ).
tff(f21125,plain,
( spl11_116
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(avatar_split_clause,[],[f21094,f1276,f982,f264,f191,f1979]) ).
tff(f21094,plain,
( ( mod1(0,sK1) = mod1(sK1,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(subsumption_resolution,[],[f21087,f983]) ).
tff(f21087,plain,
( $less(sK1,0)
| ( mod1(0,sK1) = mod1(sK1,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(evaluation,[],[f21072]) ).
tff(f21072,plain,
( ( mod1(0,sK1) = mod1(sK1,sK1) )
| $less(sK1,0)
| $less(1,0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(superposition,[],[f1858,f60]) ).
tff(f1858,plain,
( ! [X1: $int] :
( ( mod1($product(sK1,X1),sK1) = mod1(0,sK1) )
| $less($product(sK1,X1),0)
| $less(X1,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(backward_demodulation,[],[f1795,f1831]) ).
tff(f1831,plain,
( ( mod1(sF10,sK1) = mod1(0,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(evaluation,[],[f1830]) ).
tff(f1830,plain,
( $less(0,0)
| ( mod1(sF10,sK1) = mod1(0,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(duplicate_literal_removal,[],[f1816]) ).
tff(f1816,plain,
( $less(0,0)
| ( mod1(sF10,sK1) = mod1(0,sK1) )
| $less(0,0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(superposition,[],[f1795,f61]) ).
tff(f1795,plain,
( ! [X1: $int] :
( ( mod1(sF10,sK1) = mod1($product(sK1,X1),sK1) )
| $less(X1,0)
| $less($product(sK1,X1),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(subsumption_resolution,[],[f1192,f1277]) ).
tff(f1192,plain,
( ! [X1: $int] :
( $less(X1,0)
| $less(sF10,0)
| ( mod1(sF10,sK1) = mod1($product(sK1,X1),sK1) )
| $less($product(sK1,X1),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(subsumption_resolution,[],[f1181,f192]) ).
tff(f1181,plain,
( ! [X1: $int] :
( $less($product(sK1,X1),0)
| $less(sF10,0)
| ~ $less(0,sK1)
| $less(X1,0)
| ( mod1(sF10,sK1) = mod1($product(sK1,X1),sK1) ) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1130,f147]) ).
tff(f21124,plain,
( spl11_64
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(avatar_split_clause,[],[f21092,f1276,f982,f264,f191,f1158]) ).
tff(f21092,plain,
( ( mod1(sF10,sK1) = mod1(0,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(subsumption_resolution,[],[f21091,f1277]) ).
tff(f21091,plain,
( ( mod1(sF10,sK1) = mod1(0,sK1) )
| $less(sF10,0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(subsumption_resolution,[],[f21071,f983]) ).
tff(f21071,plain,
( ( mod1(sF10,sK1) = mod1(0,sK1) )
| $less(sK1,0)
| $less(sF10,0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(superposition,[],[f1858,f265]) ).
tff(f21050,plain,
( spl11_410
| ~ spl11_176
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_271 ),
inference(avatar_split_clause,[],[f21037,f9877,f982,f264,f191,f4303,f20866]) ).
tff(f20866,plain,
( spl11_410
<=> ! [X0: $int] :
( $less(sF6,X0)
| $less(X0,sF10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_410])]) ).
tff(f21037,plain,
( ! [X0: $int] :
( ~ $less(sF6,0)
| $less(X0,sF10)
| $less(sF6,X0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_271 ),
inference(resolution,[],[f9878,f15691]) ).
tff(f21043,plain,
( spl11_151
| spl11_152
| ~ spl11_411
| ~ spl11_2
| ~ spl11_19
| ~ spl11_20
| spl11_58
| ~ spl11_174 ),
inference(avatar_split_clause,[],[f20940,f4212,f982,f301,f264,f191,f20928,f3439,f3436]) ).
tff(f20928,plain,
( spl11_411
<=> $less(sK1,$uminus(sF4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_411])]) ).
tff(f20940,plain,
( ~ $less(sK1,$uminus(sF4))
| $less(sF5,sF10)
| ( 0 = sF5 )
| ~ spl11_2
| ~ spl11_19
| ~ spl11_20
| spl11_58
| ~ spl11_174 ),
inference(superposition,[],[f4924,f302]) ).
tff(f4924,plain,
( ! [X0: $int] :
( $less($sum(1,X0),sF10)
| ( 0 = $sum(1,X0) )
| ~ $less(X0,$uminus(sF4)) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_174 ),
inference(superposition,[],[f4825,f47]) ).
tff(f21036,plain,
( spl11_151
| spl11_152
| ~ spl11_153
| ~ spl11_2
| ~ spl11_19
| ~ spl11_20
| spl11_58
| ~ spl11_68 ),
inference(avatar_split_clause,[],[f20939,f1173,f982,f301,f264,f191,f3442,f3439,f3436]) ).
tff(f20939,plain,
( ~ $less(sK1,$uminus(sF10))
| $less(sF5,sF10)
| ( 0 = sF5 )
| ~ spl11_2
| ~ spl11_19
| ~ spl11_20
| spl11_58
| ~ spl11_68 ),
inference(superposition,[],[f3420,f302]) ).
tff(f3420,plain,
( ! [X0: $int] :
( $less($sum(1,X0),sF10)
| ( 0 = $sum(1,X0) )
| ~ $less(X0,$uminus(sF10)) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_68 ),
inference(superposition,[],[f1807,f47]) ).
tff(f21006,plain,
( ~ spl11_292
| spl11_303
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_321 ),
inference(avatar_split_clause,[],[f20957,f16212,f982,f264,f191,f13849,f13375]) ).
tff(f13849,plain,
( spl11_303
<=> ! [X6: $int] :
( $less(sF5,X6)
| $less(X6,sF10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_303])]) ).
tff(f20957,plain,
( ! [X1: $int] :
( $less(sF5,X1)
| $less(X1,sF10)
| ~ $less(sF5,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_321 ),
inference(evaluation,[],[f20953]) ).
tff(f20953,plain,
( ! [X1: $int] :
( ~ $less(sF5,0)
| $less(1,1)
| $less(sF5,X1)
| $less(X1,sF10) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_321 ),
inference(resolution,[],[f16213,f15686]) ).
tff(f21005,plain,
( ~ spl11_84
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(avatar_split_clause,[],[f21000,f1276,f982,f264,f191,f1367]) ).
tff(f1367,plain,
( spl11_84
<=> $less(sF10,$sum(sK1,div1(0,sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_84])]) ).
tff(f21000,plain,
( ~ $less(sF10,$sum(sK1,div1(0,sK1)))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(subsumption_resolution,[],[f20989,f1277]) ).
tff(f20989,plain,
( $less(sF10,0)
| ~ $less(sF10,$sum(sK1,div1(0,sK1)))
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(evaluation,[],[f20975]) ).
tff(f20975,plain,
( $less(0,0)
| ~ $less(sF10,$sum(sK1,div1(0,sK1)))
| $less(sF10,0)
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1223,f274]) ).
tff(f20958,plain,
( ~ spl11_292
| spl11_303
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_321 ),
inference(avatar_split_clause,[],[f20952,f16212,f982,f264,f191,f13849,f13375]) ).
tff(f20952,plain,
( ! [X0: $int] :
( $less(sF5,X0)
| ~ $less(sF5,0)
| $less(X0,sF10) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_321 ),
inference(resolution,[],[f16213,f15691]) ).
tff(f20930,plain,
( spl11_152
| ~ spl11_411
| spl11_151
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_174 ),
inference(avatar_split_clause,[],[f20821,f4212,f982,f264,f243,f191,f3436,f20928,f3439]) ).
tff(f20821,plain,
( ( 0 = sF5 )
| ~ $less(sK1,$uminus(sF4))
| $less(sF5,sF10)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_174 ),
inference(superposition,[],[f4825,f244]) ).
tff(f20921,plain,
( spl11_137
| ~ spl11_8
| ~ spl11_12
| spl11_55 ),
inference(avatar_split_clause,[],[f20920,f970,f235,f215,f2730]) ).
tff(f20920,plain,
( $less(sK2,sF6)
| ~ spl11_8
| ~ spl11_12
| spl11_55 ),
inference(subsumption_resolution,[],[f20915,f16948]) ).
tff(f20915,plain,
( $less(sK2,sF6)
| $less(sK0,sF3)
| ~ spl11_8
| ~ spl11_12 ),
inference(resolution,[],[f361,f333]) ).
tff(f20884,plain,
( spl11_53
| spl11_96
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f17639,f982,f264,f191,f1559,f951]) ).
tff(f1559,plain,
( spl11_96
<=> ! [X3: $int] :
( $less(0,$sum(X3,sF10))
| ~ $less(0,mod1(X3,sK1))
| $less(X3,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_96])]) ).
tff(f17639,plain,
( ! [X3: $int] :
( $less(X3,0)
| $less(0,$sum(X3,sF10))
| ~ $less(0,mod1(X3,sK1))
| ( 0 = sK1 ) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f159,f1130]) ).
tff(f20883,plain,
( spl11_152
| spl11_151
| ~ spl11_153
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_68 ),
inference(avatar_split_clause,[],[f20819,f1173,f982,f264,f243,f191,f3442,f3436,f3439]) ).
tff(f20819,plain,
( ~ $less(sK1,$uminus(sF10))
| ( 0 = sF5 )
| $less(sF5,sF10)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_68 ),
inference(superposition,[],[f1807,f244]) ).
tff(f20868,plain,
( ~ spl11_176
| spl11_410
| ~ spl11_2
| ~ spl11_19
| ~ spl11_27
| spl11_58 ),
inference(avatar_split_clause,[],[f20852,f982,f484,f264,f191,f20866,f4303]) ).
tff(f20852,plain,
( ! [X0: $int] :
( $less(sF6,X0)
| $less(X0,sF10)
| ~ $less(sF6,0) )
| ~ spl11_2
| ~ spl11_19
| ~ spl11_27
| spl11_58 ),
inference(evaluation,[],[f20848]) ).
tff(f20848,plain,
( ! [X0: $int] :
( ~ $less(sF6,0)
| $less(sF6,X0)
| $less(3,1)
| $less(X0,sF10) )
| ~ spl11_2
| ~ spl11_19
| ~ spl11_27
| spl11_58 ),
inference(resolution,[],[f485,f15686]) ).
tff(f20864,plain,
( spl11_392
| spl11_403
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_390 ),
inference(avatar_split_clause,[],[f20659,f19798,f982,f264,f191,f20430,f20055]) ).
tff(f20659,plain,
( ( 0 = $uminus(sF6) )
| $less($uminus(sF6),sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_390 ),
inference(resolution,[],[f20026,f52]) ).
tff(f20863,plain,
( spl11_53
| spl11_90
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f17536,f982,f264,f191,f1448,f951]) ).
tff(f1448,plain,
( spl11_90
<=> ! [X0: $int] :
( $less(X0,0)
| ( $sum(sF10,X0) = $sum(mod1($sum(sF10,X0),sK1),$product(sK1,$sum(sK1,div1(X0,sK1)))) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_90])]) ).
tff(f17536,plain,
( ! [X0: $int] :
( ( $sum(sF10,X0) = $sum(mod1($sum(sF10,X0),sK1),$product(sK1,$sum(sK1,div1(X0,sK1)))) )
| $less(X0,0)
| ( 0 = sK1 ) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f17526,f47]) ).
tff(f17526,plain,
( ! [X0: $int] :
( $less(X0,0)
| ( $sum($product(sK1,$sum(sK1,div1(X0,sK1))),mod1($sum(sF10,X0),sK1)) = $sum(sF10,X0) )
| ( 0 = sK1 ) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f128,f1119]) ).
tff(f20655,plain,
( ~ spl11_51
| spl11_347
| ~ spl11_408 ),
inference(avatar_contradiction_clause,[],[f20654]) ).
tff(f20654,plain,
( $false
| ~ spl11_51
| spl11_347
| ~ spl11_408 ),
inference(subsumption_resolution,[],[f20614,f936]) ).
tff(f20614,plain,
( ~ $less(1,sF3)
| spl11_347
| ~ spl11_408 ),
inference(backward_demodulation,[],[f16966,f20509]) ).
tff(f20509,plain,
( ( 1 = sF6 )
| ~ spl11_408 ),
inference(avatar_component_clause,[],[f20508]) ).
tff(f16966,plain,
( ~ $less(sF6,sF3)
| spl11_347 ),
inference(avatar_component_clause,[],[f16965]) ).
tff(f16965,plain,
( spl11_347
<=> $less(sF6,sF3) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_347])]) ).
tff(f20653,plain,
( ~ spl11_267
| spl11_385
| ~ spl11_408 ),
inference(avatar_contradiction_clause,[],[f20652]) ).
tff(f20652,plain,
( $false
| ~ spl11_267
| spl11_385
| ~ spl11_408 ),
inference(subsumption_resolution,[],[f20617,f9672]) ).
tff(f20617,plain,
( ~ $less(1,sK2)
| spl11_385
| ~ spl11_408 ),
inference(backward_demodulation,[],[f19472,f20509]) ).
tff(f19472,plain,
( ~ $less(sF6,sK2)
| spl11_385 ),
inference(avatar_component_clause,[],[f19471]) ).
tff(f19471,plain,
( spl11_385
<=> $less(sF6,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_385])]) ).
tff(f20645,plain,
( ~ spl11_27
| ~ spl11_408 ),
inference(avatar_contradiction_clause,[],[f20644]) ).
tff(f20644,plain,
( $false
| ~ spl11_27
| ~ spl11_408 ),
inference(evaluation,[],[f20587]) ).
tff(f20587,plain,
( $less(3,1)
| ~ spl11_27
| ~ spl11_408 ),
inference(backward_demodulation,[],[f485,f20509]) ).
tff(f20642,plain,
( ~ spl11_271
| ~ spl11_408 ),
inference(avatar_contradiction_clause,[],[f20641]) ).
tff(f20641,plain,
( $false
| ~ spl11_271
| ~ spl11_408 ),
inference(evaluation,[],[f20611]) ).
tff(f20611,plain,
( $less(1,1)
| ~ spl11_271
| ~ spl11_408 ),
inference(backward_demodulation,[],[f9878,f20509]) ).
tff(f20637,plain,
( ~ spl11_235
| ~ spl11_408 ),
inference(avatar_contradiction_clause,[],[f20636]) ).
tff(f20636,plain,
( $false
| ~ spl11_235
| ~ spl11_408 ),
inference(evaluation,[],[f20609]) ).
tff(f20609,plain,
( $less(2,1)
| ~ spl11_235
| ~ spl11_408 ),
inference(backward_demodulation,[],[f6630,f20509]) ).
tff(f20513,plain,
( spl11_408
| spl11_409
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_390 ),
inference(avatar_split_clause,[],[f20017,f19798,f982,f264,f191,f20511,f20508]) ).
tff(f20017,plain,
( ! [X0: $int] :
( $less($uminus(sF6),X0)
| $less(X0,sF10)
| ( 1 = sF6 ) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_390 ),
inference(resolution,[],[f19799,f15415]) ).
tff(f20506,plain,
( spl11_113
| spl11_407
| ~ spl11_1
| spl11_107
| ~ spl11_383 ),
inference(avatar_split_clause,[],[f19766,f19233,f1792,f187,f20504,f1879]) ).
tff(f1879,plain,
( spl11_113
<=> ( 0 = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_113])]) ).
tff(f20504,plain,
( spl11_407
<=> ! [X5: $int] :
( $less(X5,0)
| ~ $less(abs1($sum(sF6,X5)),abs1($product(sK2,$sum(sK2,div1(X5,sK2))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_407])]) ).
tff(f1792,plain,
( spl11_107
<=> $less(sK2,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_107])]) ).
tff(f19233,plain,
( spl11_383
<=> ( $product(sK2,sK2) = sF6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_383])]) ).
tff(f19766,plain,
( ! [X5: $int] :
( $less(X5,0)
| ( 0 = sK2 )
| ~ $less(abs1($sum(sF6,X5)),abs1($product(sK2,$sum(sK2,div1(X5,sK2))))) )
| ~ spl11_1
| spl11_107
| ~ spl11_383 ),
inference(superposition,[],[f653,f19699]) ).
tff(f19699,plain,
( ! [X6: $int] :
( ( $sum(sK2,div1(X6,sK2)) = div1($sum(sF6,X6),sK2) )
| $less(X6,0) )
| ~ spl11_1
| spl11_107
| ~ spl11_383 ),
inference(subsumption_resolution,[],[f19698,f188]) ).
tff(f19698,plain,
( ! [X6: $int] :
( ( $sum(sK2,div1(X6,sK2)) = div1($sum(sF6,X6),sK2) )
| $less(X6,0)
| ~ $less(0,sK2) )
| spl11_107
| ~ spl11_383 ),
inference(subsumption_resolution,[],[f19693,f1793]) ).
tff(f1793,plain,
( ~ $less(sK2,0)
| spl11_107 ),
inference(avatar_component_clause,[],[f1792]) ).
tff(f19693,plain,
( ! [X6: $int] :
( $less(X6,0)
| $less(sK2,0)
| ( $sum(sK2,div1(X6,sK2)) = div1($sum(sF6,X6),sK2) )
| ~ $less(0,sK2) )
| ~ spl11_383 ),
inference(superposition,[],[f151,f19234]) ).
tff(f19234,plain,
( ( $product(sK2,sK2) = sF6 )
| ~ spl11_383 ),
inference(avatar_component_clause,[],[f19233]) ).
tff(f20502,plain,
( ~ spl11_406
| ~ spl11_1
| spl11_107
| spl11_176
| ~ spl11_383 ),
inference(avatar_split_clause,[],[f20483,f19233,f4303,f1792,f187,f20500]) ).
tff(f20500,plain,
( spl11_406
<=> $less(sF6,$sum(sK2,div1(0,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_406])]) ).
tff(f20483,plain,
( ~ $less(sF6,$sum(sK2,div1(0,sK2)))
| ~ spl11_1
| spl11_107
| spl11_176
| ~ spl11_383 ),
inference(subsumption_resolution,[],[f20480,f4304]) ).
tff(f20480,plain,
( $less(sF6,0)
| ~ $less(sF6,$sum(sK2,div1(0,sK2)))
| ~ spl11_1
| spl11_107
| ~ spl11_383 ),
inference(evaluation,[],[f20467]) ).
tff(f20467,plain,
( $less(sF6,0)
| ~ $less(sF6,$sum(sK2,div1(0,sK2)))
| $less(0,0)
| ~ spl11_1
| spl11_107
| ~ spl11_383 ),
inference(superposition,[],[f19773,f49]) ).
tff(f19773,plain,
( ! [X2: $int] :
( ~ $less($sum(sF6,X2),$sum(sK2,div1(X2,sK2)))
| $less($sum(sF6,X2),0)
| $less(X2,0) )
| ~ spl11_1
| spl11_107
| ~ spl11_383 ),
inference(subsumption_resolution,[],[f19763,f188]) ).
tff(f19763,plain,
( ! [X2: $int] :
( ~ $less($sum(sF6,X2),$sum(sK2,div1(X2,sK2)))
| $less(X2,0)
| ~ $less(0,sK2)
| $less($sum(sF6,X2),0) )
| ~ spl11_1
| spl11_107
| ~ spl11_383 ),
inference(superposition,[],[f143,f19699]) ).
tff(f20498,plain,
( spl11_405
| ~ spl11_179
| ~ spl11_390 ),
inference(avatar_split_clause,[],[f20028,f19798,f4358,f20496]) ).
tff(f20028,plain,
( $less($uminus(sF6),sF7)
| ~ spl11_179
| ~ spl11_390 ),
inference(resolution,[],[f19799,f4486]) ).
tff(f20487,plain,
( spl11_404
| ~ spl11_47
| ~ spl11_390 ),
inference(avatar_split_clause,[],[f20024,f19798,f856,f20461]) ).
tff(f20024,plain,
( $less($uminus(sF6),sF3)
| ~ spl11_47
| ~ spl11_390 ),
inference(resolution,[],[f19799,f861]) ).
tff(f20463,plain,
( spl11_404
| spl11_326
| ~ spl11_2
| ~ spl11_12
| ~ spl11_19
| spl11_58
| ~ spl11_390 ),
inference(avatar_split_clause,[],[f20453,f19798,f982,f264,f235,f191,f16466,f20461]) ).
tff(f20453,plain,
( ! [X28: $int] :
( $less(X28,sF10)
| $less($uminus(sF6),sF3)
| $less(sK2,X28) )
| ~ spl11_2
| ~ spl11_12
| ~ spl11_19
| spl11_58
| ~ spl11_390 ),
inference(resolution,[],[f20030,f333]) ).
tff(f20432,plain,
( spl11_392
| spl11_403
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_390 ),
inference(avatar_split_clause,[],[f20257,f19798,f982,f264,f191,f20430,f20055]) ).
tff(f20257,plain,
( ( 0 = $uminus(sF6) )
| $less($uminus(sF6),sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_390 ),
inference(resolution,[],[f20026,f52]) ).
tff(f20253,plain,
( ~ spl11_402
| spl11_107
| ~ spl11_381 ),
inference(avatar_split_clause,[],[f20239,f19206,f1792,f20251]) ).
tff(f19206,plain,
( spl11_381
<=> ( sK2 = $sum(sK1,1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_381])]) ).
tff(f20239,plain,
( ~ $less(sK1,-1)
| spl11_107
| ~ spl11_381 ),
inference(subsumption_resolution,[],[f20238,f1793]) ).
tff(f20238,plain,
( $less(sK2,0)
| ~ $less(sK1,-1)
| ~ spl11_381 ),
inference(evaluation,[],[f20231]) ).
tff(f20231,plain,
( $less(sK2,0)
| ~ $less(sK1,$uminus(1))
| ~ spl11_381 ),
inference(superposition,[],[f19685,f267]) ).
tff(f19685,plain,
( ! [X7: $int] :
( $less(sK2,$sum(X7,1))
| ~ $less(sK1,X7) )
| ~ spl11_381 ),
inference(superposition,[],[f55,f19207]) ).
tff(f19207,plain,
( ( sK2 = $sum(sK1,1) )
| ~ spl11_381 ),
inference(avatar_component_clause,[],[f19206]) ).
tff(f20249,plain,
( spl11_401
| spl11_113
| ~ spl11_1
| spl11_107
| ~ spl11_383 ),
inference(avatar_split_clause,[],[f19715,f19233,f1792,f187,f1879,f20247]) ).
tff(f20247,plain,
( spl11_401
<=> ! [X2: $int] :
( $less(X2,0)
| ~ $less(0,mod1(X2,sK2))
| $less(0,$sum(sF6,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_401])]) ).
tff(f19715,plain,
( ! [X2: $int] :
( ( 0 = sK2 )
| $less(X2,0)
| $less(0,$sum(sF6,X2))
| ~ $less(0,mod1(X2,sK2)) )
| ~ spl11_1
| spl11_107
| ~ spl11_383 ),
inference(superposition,[],[f159,f19701]) ).
tff(f19701,plain,
( ! [X5: $int] :
( ( mod1($sum(sF6,X5),sK2) = mod1(X5,sK2) )
| $less(X5,0) )
| ~ spl11_1
| spl11_107
| ~ spl11_383 ),
inference(subsumption_resolution,[],[f19700,f1793]) ).
tff(f19700,plain,
( ! [X5: $int] :
( $less(X5,0)
| ( mod1($sum(sF6,X5),sK2) = mod1(X5,sK2) )
| $less(sK2,0) )
| ~ spl11_1
| ~ spl11_383 ),
inference(subsumption_resolution,[],[f19692,f188]) ).
tff(f19692,plain,
( ! [X5: $int] :
( ~ $less(0,sK2)
| ( mod1($sum(sF6,X5),sK2) = mod1(X5,sK2) )
| $less(sK2,0)
| $less(X5,0) )
| ~ spl11_383 ),
inference(superposition,[],[f147,f19234]) ).
tff(f20245,plain,
( spl11_400
| ~ spl11_12
| ~ spl11_34
| ~ spl11_381 ),
inference(avatar_split_clause,[],[f20240,f19206,f590,f235,f20243]) ).
tff(f20240,plain,
( $less(sK2,sF3)
| ~ spl11_12
| ~ spl11_34
| ~ spl11_381 ),
inference(subsumption_resolution,[],[f20235,f591]) ).
tff(f20235,plain,
( ~ $less(sK1,sK2)
| $less(sK2,sF3)
| ~ spl11_12
| ~ spl11_381 ),
inference(superposition,[],[f19685,f236]) ).
tff(f20218,plain,
( spl11_399
| ~ spl11_26
| ~ spl11_390 ),
inference(avatar_split_clause,[],[f20022,f19798,f480,f20216]) ).
tff(f20022,plain,
( $less($uminus(sF6),sF6)
| ~ spl11_26
| ~ spl11_390 ),
inference(resolution,[],[f19799,f506]) ).
tff(f20214,plain,
( spl11_398
| ~ spl11_24
| ~ spl11_390 ),
inference(avatar_split_clause,[],[f20021,f19798,f467,f20212]) ).
tff(f20021,plain,
( $less($uminus(sF6),sF4)
| ~ spl11_24
| ~ spl11_390 ),
inference(resolution,[],[f19799,f474]) ).
tff(f20132,plain,
( ~ spl11_397
| ~ spl11_14
| ~ spl11_46
| ~ spl11_376 ),
inference(avatar_split_clause,[],[f20111,f19039,f852,f243,f20130]) ).
tff(f20130,plain,
( spl11_397
<=> $less(sF3,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_397])]) ).
tff(f19039,plain,
( spl11_376
<=> ( sK2 = sF5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_376])]) ).
tff(f20111,plain,
( ~ $less(sF3,sK2)
| ~ spl11_14
| ~ spl11_46
| ~ spl11_376 ),
inference(resolution,[],[f19047,f853]) ).
tff(f19047,plain,
( ! [X6: $int] :
( ~ $less(sK1,X6)
| ~ $less(X6,sK2) )
| ~ spl11_14
| ~ spl11_376 ),
inference(backward_demodulation,[],[f342,f19040]) ).
tff(f19040,plain,
( ( sK2 = sF5 )
| ~ spl11_376 ),
inference(avatar_component_clause,[],[f19039]) ).
tff(f20100,plain,
( spl11_396
| ~ spl11_28
| ~ spl11_390 ),
inference(avatar_split_clause,[],[f20023,f19798,f518,f20098]) ).
tff(f20023,plain,
( $less($uminus(sF6),sF8)
| ~ spl11_28
| ~ spl11_390 ),
inference(resolution,[],[f19799,f548]) ).
tff(f20096,plain,
( spl11_395
| ~ spl11_23
| ~ spl11_390 ),
inference(avatar_split_clause,[],[f20020,f19798,f397,f20094]) ).
tff(f20020,plain,
( $less($uminus(sF6),sK0)
| ~ spl11_23
| ~ spl11_390 ),
inference(resolution,[],[f19799,f431]) ).
tff(f20092,plain,
( spl11_394
| ~ spl11_2
| ~ spl11_390 ),
inference(avatar_split_clause,[],[f20019,f19798,f191,f20090]) ).
tff(f20019,plain,
( $less($uminus(sF6),sK1)
| ~ spl11_2
| ~ spl11_390 ),
inference(resolution,[],[f19799,f358]) ).
tff(f20081,plain,
( spl11_393
| ~ spl11_1
| ~ spl11_390 ),
inference(avatar_split_clause,[],[f20018,f19798,f187,f20079]) ).
tff(f20018,plain,
( $less($uminus(sF6),sK2)
| ~ spl11_1
| ~ spl11_390 ),
inference(resolution,[],[f19799,f357]) ).
tff(f20057,plain,
( spl11_392
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_390 ),
inference(avatar_split_clause,[],[f20025,f19798,f982,f264,f191,f20055]) ).
tff(f20025,plain,
( $less($uminus(sF6),sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_390 ),
inference(resolution,[],[f19799,f1404]) ).
tff(f19882,plain,
( spl11_390
| spl11_391
| ~ spl11_1
| spl11_107
| ~ spl11_383 ),
inference(avatar_split_clause,[],[f19755,f19233,f1792,f187,f19880,f19798]) ).
tff(f19880,plain,
( spl11_391
<=> ( div1(0,sK2) = $sum(sK2,div1($uminus(sF6),sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_391])]) ).
tff(f19755,plain,
( ( div1(0,sK2) = $sum(sK2,div1($uminus(sF6),sK2)) )
| $less($uminus(sF6),0)
| ~ spl11_1
| spl11_107
| ~ spl11_383 ),
inference(superposition,[],[f19699,f51]) ).
tff(f19878,plain,
( ~ spl11_296
| spl11_305
| ~ spl11_376 ),
inference(avatar_split_clause,[],[f19056,f19039,f14138,f13500]) ).
tff(f13500,plain,
( spl11_296
<=> $less($sum(sK1,sF10),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_296])]) ).
tff(f14138,plain,
( spl11_305
<=> $less($sum(sK1,sF10),sF5) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_305])]) ).
tff(f19056,plain,
( ~ $less($sum(sK1,sF10),sK2)
| spl11_305
| ~ spl11_376 ),
inference(backward_demodulation,[],[f14139,f19040]) ).
tff(f14139,plain,
( ~ $less($sum(sK1,sF10),sF5)
| spl11_305 ),
inference(avatar_component_clause,[],[f14138]) ).
tff(f19848,plain,
( spl11_389
| spl11_390
| ~ spl11_1
| spl11_107
| ~ spl11_383 ),
inference(avatar_split_clause,[],[f19730,f19233,f1792,f187,f19798,f19795]) ).
tff(f19795,plain,
( spl11_389
<=> ( mod1(0,sK2) = mod1($uminus(sF6),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_389])]) ).
tff(f19730,plain,
( $less($uminus(sF6),0)
| ( mod1(0,sK2) = mod1($uminus(sF6),sK2) )
| ~ spl11_1
| spl11_107
| ~ spl11_383 ),
inference(superposition,[],[f19704,f267]) ).
tff(f19704,plain,
( ! [X0: $int] :
( ( mod1(X0,sK2) = mod1($sum(X0,sF6),sK2) )
| $less(X0,0) )
| ~ spl11_1
| spl11_107
| ~ spl11_383 ),
inference(superposition,[],[f19701,f47]) ).
tff(f19831,plain,
( spl11_388
| ~ spl11_1
| spl11_107
| ~ spl11_383 ),
inference(avatar_split_clause,[],[f19820,f19233,f1792,f187,f19790]) ).
tff(f19790,plain,
( spl11_388
<=> ( $sum(sK2,div1(0,sK2)) = div1(sF6,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_388])]) ).
tff(f19820,plain,
( ( $sum(sK2,div1(0,sK2)) = div1(sF6,sK2) )
| ~ spl11_1
| spl11_107
| ~ spl11_383 ),
inference(evaluation,[],[f19803]) ).
tff(f19803,plain,
( $less(0,0)
| ( $sum(sK2,div1(0,sK2)) = div1(sF6,sK2) )
| ~ spl11_1
| spl11_107
| ~ spl11_383 ),
inference(superposition,[],[f19752,f274]) ).
tff(f19752,plain,
( ! [X0: $int] :
( ( div1($sum(X0,sF6),sK2) = $sum(sK2,div1(X0,sK2)) )
| $less(X0,0) )
| ~ spl11_1
| spl11_107
| ~ spl11_383 ),
inference(superposition,[],[f19699,f47]) ).
tff(f19830,plain,
( spl11_387
| ~ spl11_381 ),
inference(avatar_split_clause,[],[f19682,f19206,f19776]) ).
tff(f19776,plain,
( spl11_387
<=> ( $sum(1,sK1) = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_387])]) ).
tff(f19682,plain,
( ( $sum(1,sK1) = sK2 )
| ~ spl11_381 ),
inference(superposition,[],[f47,f19207]) ).
tff(f19800,plain,
( spl11_389
| spl11_390
| ~ spl11_1
| spl11_107
| ~ spl11_383 ),
inference(avatar_split_clause,[],[f19707,f19233,f1792,f187,f19798,f19795]) ).
tff(f19707,plain,
( $less($uminus(sF6),0)
| ( mod1(0,sK2) = mod1($uminus(sF6),sK2) )
| ~ spl11_1
| spl11_107
| ~ spl11_383 ),
inference(superposition,[],[f19701,f51]) ).
tff(f19793,plain,
( spl11_387
| ~ spl11_381 ),
inference(avatar_split_clause,[],[f19681,f19206,f19776]) ).
tff(f19681,plain,
( ( $sum(1,sK1) = sK2 )
| ~ spl11_381 ),
inference(superposition,[],[f47,f19207]) ).
tff(f19792,plain,
( spl11_388
| ~ spl11_1
| spl11_107
| ~ spl11_383 ),
inference(avatar_split_clause,[],[f19769,f19233,f1792,f187,f19790]) ).
tff(f19769,plain,
( ( $sum(sK2,div1(0,sK2)) = div1(sF6,sK2) )
| ~ spl11_1
| spl11_107
| ~ spl11_383 ),
inference(evaluation,[],[f19754]) ).
tff(f19754,plain,
( ( $sum(sK2,div1(0,sK2)) = div1(sF6,sK2) )
| $less(0,0)
| ~ spl11_1
| spl11_107
| ~ spl11_383 ),
inference(superposition,[],[f19699,f49]) ).
tff(f19788,plain,
( spl11_387
| ~ spl11_381 ),
inference(avatar_split_clause,[],[f19668,f19206,f19776]) ).
tff(f19668,plain,
( ( $sum(1,sK1) = sK2 )
| ~ spl11_381 ),
inference(superposition,[],[f19207,f47]) ).
tff(f19787,plain,
( spl11_386
| ~ spl11_1
| spl11_107
| ~ spl11_383 ),
inference(avatar_split_clause,[],[f19746,f19233,f1792,f187,f19724]) ).
tff(f19724,plain,
( spl11_386
<=> ( mod1(0,sK2) = mod1(sF6,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_386])]) ).
tff(f19746,plain,
( ( mod1(0,sK2) = mod1(sF6,sK2) )
| ~ spl11_1
| spl11_107
| ~ spl11_383 ),
inference(evaluation,[],[f19729]) ).
tff(f19729,plain,
( $less(0,0)
| ( mod1(0,sK2) = mod1(sF6,sK2) )
| ~ spl11_1
| spl11_107
| ~ spl11_383 ),
inference(superposition,[],[f19704,f274]) ).
tff(f19786,plain,
( spl11_387
| ~ spl11_381 ),
inference(avatar_split_clause,[],[f19667,f19206,f19776]) ).
tff(f19667,plain,
( ( $sum(1,sK1) = sK2 )
| ~ spl11_381 ),
inference(superposition,[],[f19207,f47]) ).
tff(f19778,plain,
( spl11_387
| ~ spl11_20
| ~ spl11_376 ),
inference(avatar_split_clause,[],[f19045,f19039,f301,f19776]) ).
tff(f19045,plain,
( ( $sum(1,sK1) = sK2 )
| ~ spl11_20
| ~ spl11_376 ),
inference(backward_demodulation,[],[f302,f19040]) ).
tff(f19726,plain,
( spl11_386
| ~ spl11_1
| spl11_107
| ~ spl11_383 ),
inference(avatar_split_clause,[],[f19720,f19233,f1792,f187,f19724]) ).
tff(f19720,plain,
( ( mod1(0,sK2) = mod1(sF6,sK2) )
| ~ spl11_1
| spl11_107
| ~ spl11_383 ),
inference(evaluation,[],[f19706]) ).
tff(f19706,plain,
( $less(0,0)
| ( mod1(0,sK2) = mod1(sF6,sK2) )
| ~ spl11_1
| spl11_107
| ~ spl11_383 ),
inference(superposition,[],[f19701,f49]) ).
tff(f19473,plain,
( ~ spl11_385
| spl11_344
| ~ spl11_376 ),
inference(avatar_split_clause,[],[f19082,f19039,f16945,f19471]) ).
tff(f19082,plain,
( ~ $less(sF6,sK2)
| spl11_344
| ~ spl11_376 ),
inference(backward_demodulation,[],[f16946,f19040]) ).
tff(f19239,plain,
( ~ spl11_384
| spl11_343
| ~ spl11_376 ),
inference(avatar_split_clause,[],[f19081,f19039,f16939,f19237]) ).
tff(f19237,plain,
( spl11_384
<=> $less(sF4,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_384])]) ).
tff(f19081,plain,
( ~ $less(sF4,sK2)
| spl11_343
| ~ spl11_376 ),
inference(backward_demodulation,[],[f16940,f19040]) ).
tff(f19235,plain,
( spl11_383
| ~ spl11_15
| ~ spl11_376 ),
inference(avatar_split_clause,[],[f19044,f19039,f247,f19233]) ).
tff(f19044,plain,
( ( $product(sK2,sK2) = sF6 )
| ~ spl11_15
| ~ spl11_376 ),
inference(backward_demodulation,[],[f248,f19040]) ).
tff(f19218,plain,
( spl11_53
| spl11_87
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f17517,f982,f264,f191,f1434,f951]) ).
tff(f1434,plain,
( spl11_87
<=> ! [X0: $int] :
( ( $sum(mod1(X0,sK1),$product(sK1,div1($sum(sF10,X0),sK1))) = $sum(sF10,X0) )
| $less(X0,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_87])]) ).
tff(f17517,plain,
( ! [X0: $int] :
( ( $sum(mod1(X0,sK1),$product(sK1,div1($sum(sF10,X0),sK1))) = $sum(sF10,X0) )
| ( 0 = sK1 )
| $less(X0,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f17508,f47]) ).
tff(f17508,plain,
( ! [X0: $int] :
( ( 0 = sK1 )
| ( $sum($product(sK1,div1($sum(sF10,X0),sK1)),mod1(X0,sK1)) = $sum(sF10,X0) )
| $less(X0,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f128,f1116]) ).
tff(f19217,plain,
( spl11_325
| spl11_382
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_376 ),
inference(avatar_split_clause,[],[f19211,f19039,f982,f264,f243,f191,f19215,f16459]) ).
tff(f19215,plain,
( spl11_382
<=> ! [X0: $int] :
( ( 0 = X0 )
| $less(0,X0)
| $less(X0,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_382])]) ).
tff(f19211,plain,
( ! [X0: $int,X1: $int] :
( ( 0 = X0 )
| $less(sK1,X1)
| $less(X0,sK2)
| $less(0,X0)
| $less(X1,sF10) )
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_376 ),
inference(forward_demodulation,[],[f18506,f19040]) ).
tff(f18506,plain,
( ! [X0: $int,X1: $int] :
( $less(sK1,X1)
| $less(X0,sF5)
| $less(0,X0)
| $less(X1,sF10)
| ( 0 = X0 ) )
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58 ),
inference(resolution,[],[f332,f8381]) ).
tff(f8381,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(0,X1)
| $less(X0,X2)
| $less(X2,sF10)
| ( 0 = X1 ) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(resolution,[],[f8267,f54]) ).
tff(f19213,plain,
( ~ spl11_379
| spl11_53
| spl11_380
| ~ spl11_2
| ~ spl11_19
| ~ spl11_20
| spl11_58
| ~ spl11_376 ),
inference(avatar_split_clause,[],[f19161,f19039,f982,f301,f264,f191,f19202,f951,f19199]) ).
tff(f19199,plain,
( spl11_379
<=> $less($uminus(sK2),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_379])]) ).
tff(f19202,plain,
( spl11_380
<=> ! [X6: $int] :
( $less($uminus(sK2),X6)
| $less(X6,sF10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_380])]) ).
tff(f19161,plain,
( ! [X20: $int] :
( $less($uminus(sK2),X20)
| $less(X20,sF10)
| ( 0 = sK1 )
| ~ $less($uminus(sK2),0) )
| ~ spl11_2
| ~ spl11_19
| ~ spl11_20
| spl11_58
| ~ spl11_376 ),
inference(superposition,[],[f51,f19051]) ).
tff(f19051,plain,
( ! [X2: $int,X1: $int] :
( ( sK1 = $sum(sK2,X1) )
| $less(X2,sF10)
| $less(X1,X2)
| ~ $less(X1,0) )
| ~ spl11_2
| ~ spl11_19
| ~ spl11_20
| spl11_58
| ~ spl11_376 ),
inference(backward_demodulation,[],[f12879,f19040]) ).
tff(f12879,plain,
( ! [X2: $int,X1: $int] :
( ( sK1 = $sum(sF5,X1) )
| $less(X2,sF10)
| $less(X1,X2)
| ~ $less(X1,0) )
| ~ spl11_2
| ~ spl11_19
| ~ spl11_20
| spl11_58 ),
inference(superposition,[],[f12763,f47]) ).
tff(f19212,plain,
( ~ spl11_379
| spl11_380
| spl11_53
| ~ spl11_2
| ~ spl11_19
| ~ spl11_20
| spl11_58
| ~ spl11_376 ),
inference(avatar_split_clause,[],[f19148,f19039,f982,f301,f264,f191,f951,f19202,f19199]) ).
tff(f19148,plain,
( ! [X7: $int] :
( ( 0 = sK1 )
| $less($uminus(sK2),X7)
| ~ $less($uminus(sK2),0)
| $less(X7,sF10) )
| ~ spl11_2
| ~ spl11_19
| ~ spl11_20
| spl11_58
| ~ spl11_376 ),
inference(superposition,[],[f19051,f51]) ).
tff(f19210,plain,
( spl11_53
| ~ spl11_379
| spl11_380
| ~ spl11_2
| ~ spl11_19
| ~ spl11_20
| spl11_58
| ~ spl11_376 ),
inference(avatar_split_clause,[],[f19108,f19039,f982,f301,f264,f191,f19202,f19199,f951]) ).
tff(f19108,plain,
( ! [X27: $int] :
( $less(X27,sF10)
| ~ $less($uminus(sK2),0)
| $less($uminus(sK2),X27)
| ( 0 = sK1 ) )
| ~ spl11_2
| ~ spl11_19
| ~ spl11_20
| spl11_58
| ~ spl11_376 ),
inference(superposition,[],[f267,f19050]) ).
tff(f19050,plain,
( ! [X0: $int,X1: $int] :
( ( sK1 = $sum(X0,sK2) )
| $less(X1,sF10)
| ~ $less(X0,0)
| $less(X0,X1) )
| ~ spl11_2
| ~ spl11_19
| ~ spl11_20
| spl11_58
| ~ spl11_376 ),
inference(backward_demodulation,[],[f12763,f19040]) ).
tff(f19208,plain,
( spl11_381
| ~ spl11_14
| ~ spl11_376 ),
inference(avatar_split_clause,[],[f19043,f19039,f243,f19206]) ).
tff(f19043,plain,
( ( sK2 = $sum(sK1,1) )
| ~ spl11_14
| ~ spl11_376 ),
inference(backward_demodulation,[],[f244,f19040]) ).
tff(f19204,plain,
( spl11_53
| ~ spl11_379
| spl11_380
| ~ spl11_2
| ~ spl11_19
| ~ spl11_20
| spl11_58
| ~ spl11_376 ),
inference(avatar_split_clause,[],[f19092,f19039,f982,f301,f264,f191,f19202,f19199,f951]) ).
tff(f19092,plain,
( ! [X6: $int] :
( $less($uminus(sK2),X6)
| ~ $less($uminus(sK2),0)
| ( 0 = sK1 )
| $less(X6,sF10) )
| ~ spl11_2
| ~ spl11_19
| ~ spl11_20
| spl11_58
| ~ spl11_376 ),
inference(superposition,[],[f19050,f267]) ).
tff(f19196,plain,
( ~ spl11_378
| spl11_339
| ~ spl11_376 ),
inference(avatar_split_clause,[],[f19080,f19039,f16921,f19194]) ).
tff(f19194,plain,
( spl11_378
<=> $less(sF10,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_378])]) ).
tff(f16921,plain,
( spl11_339
<=> $less(sF10,sF5) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_339])]) ).
tff(f19080,plain,
( ~ $less(sF10,sK2)
| spl11_339
| ~ spl11_376 ),
inference(backward_demodulation,[],[f16922,f19040]) ).
tff(f16922,plain,
( ~ $less(sF10,sF5)
| spl11_339 ),
inference(avatar_component_clause,[],[f16921]) ).
tff(f19088,plain,
( spl11_355
| spl11_325
| spl11_338
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_117
| ~ spl11_278 ),
inference(avatar_split_clause,[],[f18907,f11316,f2041,f982,f264,f191,f16917,f16459,f17033]) ).
tff(f16917,plain,
( spl11_338
<=> $less(-1,sF8) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_338])]) ).
tff(f18907,plain,
( ! [X10: $int] :
( $less(-1,sF8)
| $less(sK1,X10)
| $less(X10,sF10)
| ( sK1 = -1 ) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_117
| ~ spl11_278 ),
inference(resolution,[],[f2045,f16424]) ).
tff(f19087,plain,
( ~ spl11_377
| spl11_335
| ~ spl11_376 ),
inference(avatar_split_clause,[],[f19079,f19039,f16905,f19085]) ).
tff(f19079,plain,
( ~ $less(sK0,sK2)
| spl11_335
| ~ spl11_376 ),
inference(backward_demodulation,[],[f16906,f19040]) ).
tff(f19042,plain,
( spl11_327
| spl11_336
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_278
| ~ spl11_320 ),
inference(avatar_split_clause,[],[f19029,f16026,f11316,f982,f264,f191,f16909,f16469]) ).
tff(f19029,plain,
( ! [X7: $int] :
( $less(2,X7)
| $less(-1,sF3)
| $less(X7,sF10) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_278
| ~ spl11_320 ),
inference(evaluation,[],[f19024]) ).
tff(f19024,plain,
( ! [X7: $int] :
( ( 2 = -1 )
| $less(2,X7)
| $less(-1,sF3)
| $less(X7,sF10) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_278
| ~ spl11_320 ),
inference(resolution,[],[f16210,f16424]) ).
tff(f19041,plain,
( spl11_299
| spl11_376
| spl11_333 ),
inference(avatar_split_clause,[],[f16687,f16608,f19039,f13676]) ).
tff(f16608,plain,
( spl11_333
<=> $less(sK2,sF5) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_333])]) ).
tff(f16687,plain,
( ( sK2 = sF5 )
| $less(sF5,sK2)
| spl11_333 ),
inference(resolution,[],[f16609,f54]) ).
tff(f16609,plain,
( ~ $less(sK2,sF5)
| spl11_333 ),
inference(avatar_component_clause,[],[f16608]) ).
tff(f18909,plain,
( spl11_327
| spl11_355
| spl11_325
| ~ spl11_2
| ~ spl11_19
| ~ spl11_46
| spl11_58
| ~ spl11_278 ),
inference(avatar_split_clause,[],[f18877,f11316,f982,f852,f264,f191,f16459,f17033,f16469]) ).
tff(f18877,plain,
( ! [X10: $int] :
( $less(X10,sF10)
| $less(sK1,X10)
| ( sK1 = -1 )
| $less(-1,sF3) )
| ~ spl11_2
| ~ spl11_19
| ~ spl11_46
| spl11_58
| ~ spl11_278 ),
inference(resolution,[],[f860,f16424]) ).
tff(f18848,plain,
( spl11_375
| spl11_326
| ~ spl11_2
| ~ spl11_12
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f15899,f982,f264,f235,f191,f16466,f18846]) ).
tff(f18846,plain,
( spl11_375
<=> ! [X0: $int] :
( $less(0,X0)
| $less(X0,sF3)
| ( 0 = X0 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_375])]) ).
tff(f15899,plain,
( ! [X0: $int,X1: $int] :
( $less(X1,sF10)
| $less(0,X0)
| ( 0 = X0 )
| $less(X0,sF3)
| $less(sK2,X1) )
| ~ spl11_2
| ~ spl11_12
| ~ spl11_19
| spl11_58 ),
inference(resolution,[],[f333,f8381]) ).
tff(f18844,plain,
( spl11_325
| spl11_374
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f15769,f982,f264,f243,f191,f18842,f16459]) ).
tff(f18842,plain,
( spl11_374
<=> ! [X1: $int] :
( $less(X1,sF5)
| $less(0,X1)
| ( 0 = X1 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_374])]) ).
tff(f15769,plain,
( ! [X2: $int,X1: $int] :
( $less(X1,sF5)
| ( 0 = X1 )
| $less(0,X1)
| $less(X2,sF10)
| $less(sK1,X2) )
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58 ),
inference(resolution,[],[f332,f8381]) ).
tff(f18629,plain,
( spl11_330
| ~ spl11_278
| ~ spl11_293 ),
inference(avatar_split_clause,[],[f15749,f13385,f11316,f16494]) ).
tff(f15749,plain,
( $less($uminus(abs1(1)),sF5)
| ~ spl11_278
| ~ spl11_293 ),
inference(resolution,[],[f11317,f14155]) ).
tff(f18628,plain,
( spl11_325
| spl11_330
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_278 ),
inference(avatar_split_clause,[],[f18553,f11316,f982,f264,f243,f191,f16494,f16459]) ).
tff(f18553,plain,
( ! [X39: $int] :
( $less($uminus(abs1(1)),sF5)
| $less(sK1,X39)
| $less(X39,sF10) )
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_278 ),
inference(resolution,[],[f332,f15747]) ).
tff(f18624,plain,
( spl11_324
| spl11_325
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_278 ),
inference(avatar_split_clause,[],[f18622,f11316,f982,f264,f243,f191,f16459,f16456]) ).
tff(f18622,plain,
( ! [X48: $int] :
( $less(sK1,X48)
| $less(-1,sF5)
| $less(X48,sF10) )
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_278 ),
inference(resolution,[],[f332,f16423]) ).
tff(f18461,plain,
( spl11_113
| ~ spl11_314
| spl11_315
| ~ spl11_2
| ~ spl11_19
| ~ spl11_21
| spl11_58 ),
inference(avatar_split_clause,[],[f14303,f982,f305,f264,f191,f14760,f14757,f1879]) ).
tff(f14303,plain,
( ! [X14: $int] :
( $less(X14,sF10)
| $less($uminus(sF3),X14)
| ~ $less($uminus(sF3),0)
| ( 0 = sK2 ) )
| ~ spl11_2
| ~ spl11_19
| ~ spl11_21
| spl11_58 ),
inference(superposition,[],[f51,f12945]) ).
tff(f12945,plain,
( ! [X2: $int,X1: $int] :
( ( sK2 = $sum(sF3,X1) )
| ~ $less(X1,0)
| $less(X1,X2)
| $less(X2,sF10) )
| ~ spl11_2
| ~ spl11_19
| ~ spl11_21
| spl11_58 ),
inference(superposition,[],[f12764,f47]) ).
tff(f12764,plain,
( ! [X2: $int,X3: $int] :
( ( $sum(X2,sF3) = sK2 )
| $less(X3,sF10)
| ~ $less(X2,0)
| $less(X2,X3) )
| ~ spl11_2
| ~ spl11_19
| ~ spl11_21
| spl11_58 ),
inference(superposition,[],[f8271,f306]) ).
tff(f18460,plain,
( spl11_113
| ~ spl11_314
| spl11_315
| ~ spl11_2
| ~ spl11_19
| ~ spl11_21
| spl11_58 ),
inference(avatar_split_clause,[],[f14293,f982,f305,f264,f191,f14760,f14757,f1879]) ).
tff(f14293,plain,
( ! [X6: $int] :
( $less(X6,sF10)
| ~ $less($uminus(sF3),0)
| ( 0 = sK2 )
| $less($uminus(sF3),X6) )
| ~ spl11_2
| ~ spl11_19
| ~ spl11_21
| spl11_58 ),
inference(superposition,[],[f12945,f51]) ).
tff(f18448,plain,
( spl11_318
| ~ spl11_164
| ~ spl11_370 ),
inference(avatar_split_clause,[],[f18201,f18057,f3764,f15759]) ).
tff(f15759,plain,
( spl11_318
<=> $less($uminus(abs1(1)),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_318])]) ).
tff(f18057,plain,
( spl11_370
<=> $less($uminus(abs1(1)),sF7) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_370])]) ).
tff(f18201,plain,
( $less($uminus(abs1(1)),sF10)
| ~ spl11_164
| ~ spl11_370 ),
inference(resolution,[],[f18058,f3950]) ).
tff(f18058,plain,
( $less($uminus(abs1(1)),sF7)
| ~ spl11_370 ),
inference(avatar_component_clause,[],[f18057]) ).
tff(f18420,plain,
( spl11_366
| spl11_373
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_278 ),
inference(avatar_split_clause,[],[f18396,f11316,f982,f264,f191,f18418,f17954]) ).
tff(f17954,plain,
( spl11_366
<=> ! [X6: $int] :
( $less($uminus(abs1(1)),X6)
| $less(X6,sF10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_366])]) ).
tff(f18418,plain,
( spl11_373
<=> ( 1 = abs1(1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_373])]) ).
tff(f18396,plain,
( ! [X5: $int] :
( ( 1 = abs1(1) )
| $less(X5,sF10)
| $less($uminus(abs1(1)),X5) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_278 ),
inference(resolution,[],[f15415,f11317]) ).
tff(f18286,plain,
( ~ spl11_270
| spl11_167
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f18283,f9363,f1276,f982,f264,f191,f3884,f9688]) ).
tff(f18283,plain,
( $less($sum(sF10,sF10),0)
| ~ $less($sum(sF10,sF10),$sum(sK1,sK1))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74
| ~ spl11_263 ),
inference(subsumption_resolution,[],[f18272,f1277]) ).
tff(f18272,plain,
( $less(sF10,0)
| $less($sum(sF10,sF10),0)
| ~ $less($sum(sF10,sF10),$sum(sK1,sK1))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(superposition,[],[f1153,f9364]) ).
tff(f18217,plain,
( spl11_371
| spl11_372
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_278 ),
inference(avatar_split_clause,[],[f18134,f11316,f982,f264,f191,f18215,f18212]) ).
tff(f18212,plain,
( spl11_371
<=> ( 0 = $uminus(abs1($uminus(abs1(1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_371])]) ).
tff(f18134,plain,
( $less($uminus(abs1($uminus(abs1(1)))),sF10)
| ( 0 = $uminus(abs1($uminus(abs1(1)))) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_278 ),
inference(resolution,[],[f16055,f52]) ).
tff(f16055,plain,
( ! [X13: $int] :
( $less(X13,abs1($uminus(abs1(1))))
| ( 0 = $uminus(X13) )
| $less($uminus(X13),sF10) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_278 ),
inference(resolution,[],[f15743,f148]) ).
tff(f15743,plain,
( ! [X0: $int] :
( $less($uminus(abs1(1)),X0)
| $less(X0,sF10)
| ( 0 = X0 ) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_278 ),
inference(resolution,[],[f11317,f1464]) ).
tff(f18182,plain,
( spl11_318
| ~ spl11_10
| ~ spl11_356 ),
inference(avatar_split_clause,[],[f17944,f17078,f224,f15759]) ).
tff(f17078,plain,
( spl11_356
<=> $less($uminus(abs1(1)),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_356])]) ).
tff(f17944,plain,
( $less($uminus(abs1(1)),sF10)
| ~ spl11_10
| ~ spl11_356 ),
inference(resolution,[],[f17079,f362]) ).
tff(f17079,plain,
( $less($uminus(abs1(1)),sK0)
| ~ spl11_356 ),
inference(avatar_component_clause,[],[f17078]) ).
tff(f18181,plain,
( spl11_369
| ~ spl11_8
| ~ spl11_356 ),
inference(avatar_split_clause,[],[f17943,f17078,f215,f17993]) ).
tff(f17993,plain,
( spl11_369
<=> $less($uminus(abs1(1)),sF6) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_369])]) ).
tff(f17943,plain,
( $less($uminus(abs1(1)),sF6)
| ~ spl11_8
| ~ spl11_356 ),
inference(resolution,[],[f17079,f361]) ).
tff(f18180,plain,
( spl11_368
| ~ spl11_7
| ~ spl11_356 ),
inference(avatar_split_clause,[],[f17942,f17078,f211,f17989]) ).
tff(f17989,plain,
( spl11_368
<=> $less($uminus(abs1(1)),sF4) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_368])]) ).
tff(f17942,plain,
( $less($uminus(abs1(1)),sF4)
| ~ spl11_7
| ~ spl11_356 ),
inference(resolution,[],[f17079,f360]) ).
tff(f18132,plain,
( spl11_318
| ~ spl11_56
| ~ spl11_328 ),
inference(avatar_split_clause,[],[f17040,f16473,f973,f15759]) ).
tff(f16473,plain,
( spl11_328
<=> $less($uminus(abs1(1)),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_328])]) ).
tff(f17040,plain,
( $less($uminus(abs1(1)),sF10)
| ~ spl11_56
| ~ spl11_328 ),
inference(resolution,[],[f16474,f2385]) ).
tff(f16474,plain,
( $less($uminus(abs1(1)),sK1)
| ~ spl11_328 ),
inference(avatar_component_clause,[],[f16473]) ).
tff(f18108,plain,
( spl11_53
| spl11_83
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f17531,f982,f264,f191,f1363,f951]) ).
tff(f1363,plain,
( spl11_83
<=> ! [X1: $int] :
( $less(X1,0)
| ~ $less(abs1($sum(sF10,X1)),abs1($product(sK1,$sum(sK1,div1(X1,sK1))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_83])]) ).
tff(f17531,plain,
( ! [X5: $int] :
( ~ $less(abs1($sum(sF10,X5)),abs1($product(sK1,$sum(sK1,div1(X5,sK1)))))
| $less(X5,0)
| ( 0 = sK1 ) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f653,f1119]) ).
tff(f18086,plain,
( spl11_334
| ~ spl11_46
| ~ spl11_328 ),
inference(avatar_split_clause,[],[f17036,f16473,f852,f16683]) ).
tff(f16683,plain,
( spl11_334
<=> $less($uminus(abs1(1)),sF3) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_334])]) ).
tff(f17036,plain,
( $less($uminus(abs1(1)),sF3)
| ~ spl11_46
| ~ spl11_328 ),
inference(resolution,[],[f16474,f860]) ).
tff(f18085,plain,
( spl11_80
| ~ spl11_85
| ~ spl11_2
| spl11_5
| ~ spl11_16
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f18083,f982,f264,f251,f203,f191,f1391,f1313]) ).
tff(f1313,plain,
( spl11_80
<=> $less($sum(sK0,sF10),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_80])]) ).
tff(f1391,plain,
( spl11_85
<=> $less($sum(sK0,sF10),$sum(sK1,sF7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_85])]) ).
tff(f18083,plain,
( ~ $less($sum(sK0,sF10),$sum(sK1,sF7))
| $less($sum(sK0,sF10),0)
| ~ spl11_2
| spl11_5
| ~ spl11_16
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f18082,f47]) ).
tff(f18082,plain,
( ~ $less($sum(sF10,sK0),$sum(sK1,sF7))
| $less($sum(sK0,sF10),0)
| ~ spl11_2
| spl11_5
| ~ spl11_16
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f18081,f47]) ).
tff(f18081,plain,
( $less($sum(sF10,sK0),0)
| ~ $less($sum(sF10,sK0),$sum(sK1,sF7))
| ~ spl11_2
| spl11_5
| ~ spl11_16
| ~ spl11_19
| spl11_58 ),
inference(subsumption_resolution,[],[f18072,f204]) ).
tff(f18072,plain,
( ~ $less($sum(sF10,sK0),$sum(sK1,sF7))
| $less($sum(sF10,sK0),0)
| $less(sK0,0)
| ~ spl11_2
| ~ spl11_16
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1153,f252]) ).
tff(f18084,plain,
( ~ spl11_84
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(avatar_split_clause,[],[f18080,f1276,f982,f264,f191,f1367]) ).
tff(f18080,plain,
( ~ $less(sF10,$sum(sK1,div1(0,sK1)))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(subsumption_resolution,[],[f18074,f1277]) ).
tff(f18074,plain,
( $less(sF10,0)
| ~ $less(sF10,$sum(sK1,div1(0,sK1)))
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(evaluation,[],[f18063]) ).
tff(f18063,plain,
( $less(sF10,0)
| ~ $less(sF10,$sum(sK1,div1(0,sK1)))
| $less(0,0)
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1153,f49]) ).
tff(f18059,plain,
( spl11_370
| ~ spl11_179
| ~ spl11_278 ),
inference(avatar_split_clause,[],[f15745,f11316,f4358,f18057]) ).
tff(f15745,plain,
( $less($uminus(abs1(1)),sF7)
| ~ spl11_179
| ~ spl11_278 ),
inference(resolution,[],[f11317,f4486]) ).
tff(f18055,plain,
( spl11_334
| ~ spl11_47
| ~ spl11_278 ),
inference(avatar_split_clause,[],[f15741,f11316,f856,f16683]) ).
tff(f15741,plain,
( $less($uminus(abs1(1)),sF3)
| ~ spl11_47
| ~ spl11_278 ),
inference(resolution,[],[f11317,f861]) ).
tff(f17996,plain,
( spl11_53
| spl11_76
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f17510,f982,f264,f191,f1299,f951]) ).
tff(f1299,plain,
( spl11_76
<=> ! [X2: $int] :
( $less(0,$sum(sF10,X2))
| ~ $less(0,mod1(X2,sK1))
| $less(X2,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_76])]) ).
tff(f17510,plain,
( ! [X2: $int] :
( $less(0,$sum(sF10,X2))
| $less(X2,0)
| ~ $less(0,mod1(X2,sK1))
| ( 0 = sK1 ) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f159,f1116]) ).
tff(f17995,plain,
( spl11_369
| ~ spl11_26
| ~ spl11_278 ),
inference(avatar_split_clause,[],[f15739,f11316,f480,f17993]) ).
tff(f15739,plain,
( $less($uminus(abs1(1)),sF6)
| ~ spl11_26
| ~ spl11_278 ),
inference(resolution,[],[f11317,f506]) ).
tff(f17991,plain,
( spl11_368
| ~ spl11_24
| ~ spl11_278 ),
inference(avatar_split_clause,[],[f15738,f11316,f467,f17989]) ).
tff(f15738,plain,
( $less($uminus(abs1(1)),sF4)
| ~ spl11_24
| ~ spl11_278 ),
inference(resolution,[],[f11317,f474]) ).
tff(f17959,plain,
( spl11_366
| spl11_367
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_278 ),
inference(avatar_split_clause,[],[f15748,f11316,f982,f264,f191,f17957,f17954]) ).
tff(f17957,plain,
( spl11_367
<=> ( $uminus(abs1(1)) = -1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_367])]) ).
tff(f15748,plain,
( ! [X6: $int] :
( ( $uminus(abs1(1)) = -1 )
| $less($uminus(abs1(1)),X6)
| $less(X6,sF10) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_278 ),
inference(resolution,[],[f11317,f12850]) ).
tff(f17941,plain,
( spl11_365
| ~ spl11_28
| ~ spl11_278 ),
inference(avatar_split_clause,[],[f15740,f11316,f518,f17939]) ).
tff(f17939,plain,
( spl11_365
<=> $less($uminus(abs1(1)),sF8) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_365])]) ).
tff(f15740,plain,
( $less($uminus(abs1(1)),sF8)
| ~ spl11_28
| ~ spl11_278 ),
inference(resolution,[],[f11317,f548]) ).
tff(f17911,plain,
( ~ spl11_79
| spl11_80
| ~ spl11_2
| spl11_5
| ~ spl11_16
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f17907,f982,f264,f251,f203,f191,f1313,f1310]) ).
tff(f1310,plain,
( spl11_79
<=> $less($sum(sK1,sF7),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_79])]) ).
tff(f17907,plain,
( $less($sum(sK0,sF10),0)
| ~ $less($sum(sK1,sF7),0)
| ~ spl11_2
| spl11_5
| ~ spl11_16
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f17906,f47]) ).
tff(f17906,plain,
( $less($sum(sF10,sK0),0)
| ~ $less($sum(sK1,sF7),0)
| ~ spl11_2
| spl11_5
| ~ spl11_16
| ~ spl11_19
| spl11_58 ),
inference(subsumption_resolution,[],[f17904,f204]) ).
tff(f17904,plain,
( $less($sum(sF10,sK0),0)
| $less(sK0,0)
| ~ $less($sum(sK1,sF7),0)
| ~ spl11_2
| ~ spl11_16
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1155,f252]) ).
tff(f17821,plain,
( spl11_361
| spl11_362
| ~ spl11_364
| ~ spl11_2
| ~ spl11_12
| ~ spl11_19
| spl11_58
| ~ spl11_174 ),
inference(avatar_split_clause,[],[f16896,f4212,f982,f264,f235,f191,f17819,f17812,f17809]) ).
tff(f17812,plain,
( spl11_362
<=> ( 0 = $uminus(sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_362])]) ).
tff(f17819,plain,
( spl11_364
<=> $less(abs1($uminus(sF4)),sF3) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_364])]) ).
tff(f16896,plain,
( ~ $less(abs1($uminus(sF4)),sF3)
| ( 0 = $uminus(sK2) )
| $less($uminus(sK2),sF10)
| ~ spl11_2
| ~ spl11_12
| ~ spl11_19
| spl11_58
| ~ spl11_174 ),
inference(resolution,[],[f343,f4807]) ).
tff(f4807,plain,
( ! [X5: $int] :
( $less(X5,abs1($uminus(sF4)))
| ( 0 = $uminus(X5) )
| $less($uminus(X5),sF10) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_174 ),
inference(resolution,[],[f4775,f148]) ).
tff(f17817,plain,
( spl11_361
| spl11_362
| ~ spl11_363
| ~ spl11_2
| ~ spl11_12
| ~ spl11_19
| spl11_58
| ~ spl11_68 ),
inference(avatar_split_clause,[],[f16894,f1173,f982,f264,f235,f191,f17815,f17812,f17809]) ).
tff(f17815,plain,
( spl11_363
<=> $less(abs1($uminus(sF10)),sF3) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_363])]) ).
tff(f16894,plain,
( ~ $less(abs1($uminus(sF10)),sF3)
| ( 0 = $uminus(sK2) )
| $less($uminus(sK2),sF10)
| ~ spl11_2
| ~ spl11_12
| ~ spl11_19
| spl11_58
| ~ spl11_68 ),
inference(resolution,[],[f343,f1805]) ).
tff(f1805,plain,
( ! [X4: $int] :
( $less(X4,abs1($uminus(sF10)))
| $less($uminus(X4),sF10)
| ( 0 = $uminus(X4) ) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_68 ),
inference(resolution,[],[f1688,f148]) ).
tff(f17807,plain,
( ~ spl11_360
| spl11_359
| spl11_357
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_174 ),
inference(avatar_split_clause,[],[f16599,f4212,f982,f264,f243,f191,f17082,f17088,f17805]) ).
tff(f17805,plain,
( spl11_360
<=> $less(abs1($uminus(sF4)),sF5) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_360])]) ).
tff(f17082,plain,
( spl11_357
<=> ( 0 = $uminus(sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_357])]) ).
tff(f16599,plain,
( ( 0 = $uminus(sK1) )
| $less($uminus(sK1),sF10)
| ~ $less(abs1($uminus(sF4)),sF5)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_174 ),
inference(resolution,[],[f342,f4807]) ).
tff(f17781,plain,
( spl11_65
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f17771,f982,f264,f191,f1162]) ).
tff(f1162,plain,
( spl11_65
<=> ( $sum(sK1,div1(0,sK1)) = div1(sF10,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_65])]) ).
tff(f17771,plain,
( ( $sum(sK1,div1(0,sK1)) = div1(sF10,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(evaluation,[],[f17755]) ).
tff(f17755,plain,
( $less(0,0)
| ( $sum(sK1,div1(0,sK1)) = div1(sF10,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1143,f274]) ).
tff(f17742,plain,
( spl11_342
| spl11_346
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_278 ),
inference(avatar_split_clause,[],[f17740,f11316,f982,f264,f191,f16961,f16933]) ).
tff(f16961,plain,
( spl11_346
<=> $less(-1,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_346])]) ).
tff(f17740,plain,
( ! [X10: $int] :
( $less(-1,sK1)
| $less(0,X10)
| $less(X10,sF10) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_278 ),
inference(evaluation,[],[f17738]) ).
tff(f17738,plain,
( ! [X10: $int] :
( $less(X10,sF10)
| $less(-1,sK1)
| $less(0,X10)
| ( 0 = -1 ) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_278 ),
inference(resolution,[],[f358,f16424]) ).
tff(f17678,plain,
( ~ spl11_98
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f17677,f982,f264,f191,f1581]) ).
tff(f1581,plain,
( spl11_98
<=> $less(sF10,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_98])]) ).
tff(f17677,plain,
( ~ $less(sF10,sK1)
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(subsumption_resolution,[],[f17675,f192]) ).
tff(f17675,plain,
( ~ $less(0,sK1)
| ~ $less(sF10,sK1)
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(evaluation,[],[f17670]) ).
tff(f17670,plain,
( ~ $less(sF10,sK1)
| $less(0,0)
| ~ $less(0,sK1)
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1570,f274]) ).
tff(f1570,plain,
( ! [X0: $int] :
( ~ $less($sum(X0,sF10),sK1)
| $less(X0,0)
| ~ $less(X0,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1562,f47]) ).
tff(f1562,plain,
( ! [X0: $int] :
( ~ $less($sum(sF10,X0),sK1)
| ~ $less(X0,sK1)
| $less(X0,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(subsumption_resolution,[],[f1359,f1395]) ).
tff(f1359,plain,
( ! [X0: $int] :
( $less($sum(sF10,X0),0)
| ~ $less($sum(sF10,X0),sK1)
| ~ $less(X0,sK1)
| $less(X0,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f1351,f49]) ).
tff(f1351,plain,
( ! [X0: $int] :
( ~ $less(X0,sK1)
| ~ $less($sum(sF10,X0),$sum(sK1,0))
| $less(X0,0)
| $less($sum(sF10,X0),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(duplicate_literal_removal,[],[f1346]) ).
tff(f1346,plain,
( ! [X0: $int] :
( ~ $less(X0,sK1)
| $less(X0,0)
| $less($sum(sF10,X0),0)
| ~ $less($sum(sF10,X0),$sum(sK1,0))
| $less(X0,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1153,f156]) ).
tff(f17651,plain,
( spl11_64
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f17644,f982,f264,f191,f1158]) ).
tff(f17644,plain,
( ( mod1(sF10,sK1) = mod1(0,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(evaluation,[],[f17629]) ).
tff(f17629,plain,
( $less(0,0)
| ( mod1(sF10,sK1) = mod1(0,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1130,f274]) ).
tff(f17579,plain,
( ~ spl11_98
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f17577,f982,f264,f191,f1581]) ).
tff(f17577,plain,
( ~ $less(sF10,sK1)
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(subsumption_resolution,[],[f17575,f192]) ).
tff(f17575,plain,
( ~ $less(sF10,sK1)
| ~ $less(0,sK1)
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(evaluation,[],[f17570]) ).
tff(f17570,plain,
( $less(0,0)
| ~ $less(0,sK1)
| ~ $less(sF10,sK1)
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1562,f49]) ).
tff(f17549,plain,
( spl11_65
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f17534,f982,f264,f191,f1162]) ).
tff(f17534,plain,
( ( $sum(sK1,div1(0,sK1)) = div1(sF10,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(evaluation,[],[f17520]) ).
tff(f17520,plain,
( ( $sum(sK1,div1(0,sK1)) = div1(sF10,sK1) )
| $less(0,0)
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1119,f49]) ).
tff(f17548,plain,
( spl11_64
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f17515,f982,f264,f191,f1158]) ).
tff(f17515,plain,
( ( mod1(sF10,sK1) = mod1(0,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(evaluation,[],[f17502]) ).
tff(f17502,plain,
( ( mod1(sF10,sK1) = mod1(0,sK1) )
| $less(0,0)
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1116,f49]) ).
tff(f17428,plain,
( ~ spl11_225
| ~ spl11_357 ),
inference(avatar_contradiction_clause,[],[f17427]) ).
tff(f17427,plain,
( $false
| ~ spl11_225
| ~ spl11_357 ),
inference(evaluation,[],[f17399]) ).
tff(f17399,plain,
( $less(0,$sum(0,0))
| ~ spl11_225
| ~ spl11_357 ),
inference(backward_demodulation,[],[f9874,f17185]) ).
tff(f17185,plain,
( ( 0 = sK1 )
| ~ spl11_357 ),
inference(evaluation,[],[f17097]) ).
tff(f17097,plain,
( ( sK1 = $uminus(0) )
| ~ spl11_357 ),
inference(superposition,[],[f57,f17083]) ).
tff(f17083,plain,
( ( 0 = $uminus(sK1) )
| ~ spl11_357 ),
inference(avatar_component_clause,[],[f17082]) ).
tff(f17418,plain,
( ~ spl11_88
| ~ spl11_357 ),
inference(avatar_contradiction_clause,[],[f17417]) ).
tff(f17417,plain,
( $false
| ~ spl11_88
| ~ spl11_357 ),
inference(evaluation,[],[f17396]) ).
tff(f17396,plain,
( $less(1,0)
| ~ spl11_88
| ~ spl11_357 ),
inference(backward_demodulation,[],[f9632,f17185]) ).
tff(f17415,plain,
( ~ spl11_2
| ~ spl11_357 ),
inference(avatar_contradiction_clause,[],[f17414]) ).
tff(f17414,plain,
( $false
| ~ spl11_2
| ~ spl11_357 ),
inference(evaluation,[],[f17277]) ).
tff(f17277,plain,
( $less(0,0)
| ~ spl11_2
| ~ spl11_357 ),
inference(backward_demodulation,[],[f192,f17185]) ).
tff(f17411,plain,
( spl11_53
| ~ spl11_357 ),
inference(avatar_split_clause,[],[f17185,f17082,f951]) ).
tff(f17276,plain,
( spl11_338
| spl11_355
| spl11_325
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_117
| ~ spl11_278 ),
inference(avatar_split_clause,[],[f16823,f11316,f2041,f982,f264,f191,f16459,f17033,f16917]) ).
tff(f16823,plain,
( ! [X150: $int] :
( $less(X150,sF10)
| ( sK1 = -1 )
| $less(-1,sF8)
| $less(sK1,X150) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_117
| ~ spl11_278 ),
inference(resolution,[],[f16424,f2045]) ).
tff(f17090,plain,
( spl11_357
| ~ spl11_358
| spl11_359
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_68 ),
inference(avatar_split_clause,[],[f16597,f1173,f982,f264,f243,f191,f17088,f17085,f17082]) ).
tff(f17085,plain,
( spl11_358
<=> $less(abs1($uminus(sF10)),sF5) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_358])]) ).
tff(f16597,plain,
( $less($uminus(sK1),sF10)
| ~ $less(abs1($uminus(sF10)),sF5)
| ( 0 = $uminus(sK1) )
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_68 ),
inference(resolution,[],[f342,f1805]) ).
tff(f17080,plain,
( spl11_356
| ~ spl11_23
| ~ spl11_278 ),
inference(avatar_split_clause,[],[f15737,f11316,f397,f17078]) ).
tff(f15737,plain,
( $less($uminus(abs1(1)),sK0)
| ~ spl11_23
| ~ spl11_278 ),
inference(resolution,[],[f11317,f431]) ).
tff(f17051,plain,
( spl11_346
| ~ spl11_328 ),
inference(avatar_split_clause,[],[f17050,f16473,f16961]) ).
tff(f17050,plain,
( $less(-1,sK1)
| ~ spl11_328 ),
inference(evaluation,[],[f17047]) ).
tff(f17047,plain,
( $less($uminus(1),sK1)
| $less(1,0)
| ~ spl11_328 ),
inference(superposition,[],[f16474,f126]) ).
tff(f17035,plain,
( spl11_327
| spl11_355
| spl11_325
| ~ spl11_2
| ~ spl11_19
| ~ spl11_46
| spl11_58
| ~ spl11_278 ),
inference(avatar_split_clause,[],[f16821,f11316,f982,f852,f264,f191,f16459,f17033,f16469]) ).
tff(f16821,plain,
( ! [X148: $int] :
( $less(X148,sF10)
| ( sK1 = -1 )
| $less(sK1,X148)
| $less(-1,sF3) )
| ~ spl11_2
| ~ spl11_19
| ~ spl11_46
| spl11_58
| ~ spl11_278 ),
inference(resolution,[],[f16424,f860]) ).
tff(f17028,plain,
( spl11_354
| spl11_326
| spl11_338
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_131
| ~ spl11_278 ),
inference(avatar_split_clause,[],[f16831,f11316,f2593,f982,f264,f191,f16917,f16466,f17026]) ).
tff(f16831,plain,
( ! [X158: $int] :
( $less(-1,sF8)
| $less(sK2,X158)
| ( sK2 = -1 )
| $less(X158,sF10) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_131
| ~ spl11_278 ),
inference(resolution,[],[f16424,f7170]) ).
tff(f17024,plain,
( spl11_351
| spl11_350
| spl11_340
| ~ spl11_2
| ~ spl11_8
| ~ spl11_19
| spl11_58
| ~ spl11_278 ),
inference(avatar_split_clause,[],[f16819,f11316,f982,f264,f215,f191,f16926,f17002,f17005]) ).
tff(f17005,plain,
( spl11_351
<=> ! [X145: $int] :
( $less(X145,sF10)
| $less(sK0,X145) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_351])]) ).
tff(f17002,plain,
( spl11_350
<=> ( sK0 = -1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_350])]) ).
tff(f16819,plain,
( ! [X146: $int] :
( $less(-1,sF6)
| ( sK0 = -1 )
| $less(sK0,X146)
| $less(X146,sF10) )
| ~ spl11_2
| ~ spl11_8
| ~ spl11_19
| spl11_58
| ~ spl11_278 ),
inference(resolution,[],[f16424,f361]) ).
tff(f17020,plain,
( spl11_340
| ~ spl11_8
| ~ spl11_331 ),
inference(avatar_split_clause,[],[f16576,f16506,f215,f16926]) ).
tff(f16576,plain,
( $less(-1,sF6)
| ~ spl11_8
| ~ spl11_331 ),
inference(resolution,[],[f16507,f361]) ).
tff(f17019,plain,
( spl11_352
| spl11_353
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74
| spl11_160
| ~ spl11_280 ),
inference(avatar_split_clause,[],[f12303,f12122,f3727,f1276,f982,f264,f191,f17017,f17014]) ).
tff(f17014,plain,
( spl11_352
<=> $less($sum(sK1,div1(mod1(0,sK1),sK1)),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_352])]) ).
tff(f17017,plain,
( spl11_353
<=> ( sF10 = $sum(sK1,div1(mod1(0,sK1),sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_353])]) ).
tff(f12303,plain,
( ( sF10 = $sum(sK1,div1(mod1(0,sK1),sK1)) )
| $less($sum(sK1,div1(mod1(0,sK1),sK1)),sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74
| spl11_160
| ~ spl11_280 ),
inference(subsumption_resolution,[],[f12302,f3728]) ).
tff(f12302,plain,
( $less($sum(sK1,div1(mod1(0,sK1),sK1)),sF10)
| ( sF10 = $sum(sK1,div1(mod1(0,sK1),sK1)) )
| $less(mod1(0,sK1),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74
| ~ spl11_280 ),
inference(subsumption_resolution,[],[f12270,f1277]) ).
tff(f12270,plain,
( $less(sF10,0)
| $less(mod1(0,sK1),0)
| ( sF10 = $sum(sK1,div1(mod1(0,sK1),sK1)) )
| $less($sum(sK1,div1(mod1(0,sK1),sK1)),sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_280 ),
inference(superposition,[],[f1341,f12123]) ).
tff(f1341,plain,
( ! [X0: $int] :
( $less($sum(sK1,div1(X0,sK1)),$sum(sF10,X0))
| $less($sum(sF10,X0),0)
| ( $sum(sK1,div1(X0,sK1)) = $sum(sF10,X0) )
| $less(X0,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(resolution,[],[f1153,f54]) ).
tff(f17012,plain,
( spl11_332
| ~ spl11_7
| ~ spl11_331 ),
inference(avatar_split_clause,[],[f16575,f16506,f211,f16582]) ).
tff(f16575,plain,
( $less(-1,sF4)
| ~ spl11_7
| ~ spl11_331 ),
inference(resolution,[],[f16507,f360]) ).
tff(f17011,plain,
( spl11_340
| spl11_336
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_235
| ~ spl11_278 ),
inference(avatar_split_clause,[],[f16878,f11316,f6629,f982,f264,f191,f16909,f16926]) ).
tff(f16878,plain,
( ! [X140: $int] :
( $less(2,X140)
| $less(-1,sF6)
| $less(X140,sF10) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_235
| ~ spl11_278 ),
inference(evaluation,[],[f16813]) ).
tff(f16813,plain,
( ! [X140: $int] :
( $less(-1,sF6)
| ( 2 = -1 )
| $less(X140,sF10)
| $less(2,X140) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_235
| ~ spl11_278 ),
inference(resolution,[],[f16424,f6660]) ).
tff(f17010,plain,
( spl11_340
| ~ spl11_137
| ~ spl11_329 ),
inference(avatar_split_clause,[],[f16499,f16490,f2730,f16926]) ).
tff(f16499,plain,
( $less(-1,sF6)
| ~ spl11_137
| ~ spl11_329 ),
inference(resolution,[],[f16491,f2951]) ).
tff(f17007,plain,
( spl11_332
| spl11_350
| spl11_351
| ~ spl11_2
| ~ spl11_7
| ~ spl11_19
| spl11_58
| ~ spl11_278 ),
inference(avatar_split_clause,[],[f16818,f11316,f982,f264,f211,f191,f17005,f17002,f16582]) ).
tff(f16818,plain,
( ! [X145: $int] :
( $less(X145,sF10)
| ( sK0 = -1 )
| $less(sK0,X145)
| $less(-1,sF4) )
| ~ spl11_2
| ~ spl11_7
| ~ spl11_19
| spl11_58
| ~ spl11_278 ),
inference(resolution,[],[f16424,f360]) ).
tff(f17000,plain,
( spl11_342
| spl11_340
| ~ spl11_2
| ~ spl11_19
| ~ spl11_26
| spl11_58
| ~ spl11_278 ),
inference(avatar_split_clause,[],[f16876,f11316,f982,f480,f264,f191,f16926,f16933]) ).
tff(f16876,plain,
( ! [X13: $int] :
( $less(-1,sF6)
| $less(0,X13)
| $less(X13,sF10) )
| ~ spl11_2
| ~ spl11_19
| ~ spl11_26
| spl11_58
| ~ spl11_278 ),
inference(evaluation,[],[f16728]) ).
tff(f16728,plain,
( ! [X13: $int] :
( $less(X13,sF10)
| $less(-1,sF6)
| $less(0,X13)
| ( 0 = -1 ) )
| ~ spl11_2
| ~ spl11_19
| ~ spl11_26
| spl11_58
| ~ spl11_278 ),
inference(resolution,[],[f16424,f506]) ).
tff(f16978,plain,
( ~ spl11_349
| spl11_167
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74
| spl11_160
| ~ spl11_280 ),
inference(avatar_split_clause,[],[f12294,f12122,f3727,f1276,f982,f264,f191,f3884,f16976]) ).
tff(f16976,plain,
( spl11_349
<=> $less($sum(sF10,sF10),$sum(sK1,$sum(sK1,div1(mod1(0,sK1),sK1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_349])]) ).
tff(f12294,plain,
( $less($sum(sF10,sF10),0)
| ~ $less($sum(sF10,sF10),$sum(sK1,$sum(sK1,div1(mod1(0,sK1),sK1))))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74
| spl11_160
| ~ spl11_280 ),
inference(subsumption_resolution,[],[f12293,f1277]) ).
tff(f12293,plain,
( ~ $less($sum(sF10,sF10),$sum(sK1,$sum(sK1,div1(mod1(0,sK1),sK1))))
| $less(sF10,0)
| $less($sum(sF10,sF10),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_160
| ~ spl11_280 ),
inference(subsumption_resolution,[],[f12271,f3728]) ).
tff(f12271,plain,
( ~ $less($sum(sF10,sF10),$sum(sK1,$sum(sK1,div1(mod1(0,sK1),sK1))))
| $less(mod1(0,sK1),0)
| $less($sum(sF10,sF10),0)
| $less(sF10,0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_280 ),
inference(superposition,[],[f1347,f12123]) ).
tff(f1347,plain,
( ! [X1: $int] :
( ~ $less($sum(sF10,$sum(sF10,X1)),$sum(sK1,$sum(sK1,div1(X1,sK1))))
| $less($sum(sF10,X1),0)
| $less($sum(sF10,$sum(sF10,X1)),0)
| $less(X1,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1153,f1119]) ).
tff(f16974,plain,
( spl11_332
| spl11_345
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_272
| ~ spl11_278 ),
inference(avatar_split_clause,[],[f16871,f11316,f9881,f982,f264,f191,f16953,f16582]) ).
tff(f16871,plain,
( ! [X133: $int] :
( $less(X133,sF10)
| $less(-1,sF4)
| $less(1,X133) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_272
| ~ spl11_278 ),
inference(evaluation,[],[f16806]) ).
tff(f16806,plain,
( ! [X133: $int] :
( $less(1,X133)
| ( 1 = -1 )
| $less(-1,sF4)
| $less(X133,sF10) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_272
| ~ spl11_278 ),
inference(resolution,[],[f16424,f9908]) ).
tff(f16973,plain,
( ~ spl11_348
| ~ spl11_12
| ~ spl11_138 ),
inference(avatar_split_clause,[],[f16891,f2816,f235,f16971]) ).
tff(f16971,plain,
( spl11_348
<=> $less(sF10,sF3) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_348])]) ).
tff(f16891,plain,
( ~ $less(sF10,sF3)
| ~ spl11_12
| ~ spl11_138 ),
inference(resolution,[],[f343,f2817]) ).
tff(f16969,plain,
( spl11_346
| spl11_342
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_278 ),
inference(avatar_split_clause,[],[f16883,f11316,f982,f264,f191,f16933,f16961]) ).
tff(f16883,plain,
( ! [X10: $int] :
( $less(X10,sF10)
| $less(-1,sK1)
| $less(0,X10) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_278 ),
inference(evaluation,[],[f16725]) ).
tff(f16725,plain,
( ! [X10: $int] :
( $less(X10,sF10)
| $less(-1,sK1)
| ( 0 = -1 )
| $less(0,X10) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_278 ),
inference(resolution,[],[f16424,f358]) ).
tff(f16968,plain,
( spl11_327
| spl11_342
| ~ spl11_2
| ~ spl11_19
| ~ spl11_47
| spl11_58
| ~ spl11_278 ),
inference(avatar_split_clause,[],[f16869,f11316,f982,f856,f264,f191,f16933,f16469]) ).
tff(f16869,plain,
( ! [X15: $int] :
( $less(X15,sF10)
| $less(-1,sF3)
| $less(0,X15) )
| ~ spl11_2
| ~ spl11_19
| ~ spl11_47
| spl11_58
| ~ spl11_278 ),
inference(evaluation,[],[f16730]) ).
tff(f16730,plain,
( ! [X15: $int] :
( $less(-1,sF3)
| $less(0,X15)
| ( 0 = -1 )
| $less(X15,sF10) )
| ~ spl11_2
| ~ spl11_19
| ~ spl11_47
| spl11_58
| ~ spl11_278 ),
inference(resolution,[],[f16424,f861]) ).
tff(f16967,plain,
( ~ spl11_347
| ~ spl11_12
| ~ spl11_137 ),
inference(avatar_split_clause,[],[f16889,f2730,f235,f16965]) ).
tff(f16889,plain,
( ~ $less(sF6,sF3)
| ~ spl11_12
| ~ spl11_137 ),
inference(resolution,[],[f343,f2731]) ).
tff(f16963,plain,
( spl11_345
| spl11_346
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_88
| ~ spl11_278 ),
inference(avatar_split_clause,[],[f16865,f11316,f1440,f982,f264,f191,f16961,f16953]) ).
tff(f16865,plain,
( ! [X128: $int] :
( $less(-1,sK1)
| $less(1,X128)
| $less(X128,sF10) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_88
| ~ spl11_278 ),
inference(evaluation,[],[f16801]) ).
tff(f16801,plain,
( ! [X128: $int] :
( $less(1,X128)
| $less(-1,sK1)
| $less(X128,sF10)
| ( 1 = -1 ) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_88
| ~ spl11_278 ),
inference(resolution,[],[f16424,f9642]) ).
tff(f16959,plain,
( spl11_327
| spl11_345
| ~ spl11_2
| ~ spl11_19
| ~ spl11_51
| spl11_58
| ~ spl11_278 ),
inference(avatar_split_clause,[],[f16862,f11316,f982,f935,f264,f191,f16953,f16469]) ).
tff(f16862,plain,
( ! [X126: $int] :
( $less(X126,sF10)
| $less(1,X126)
| $less(-1,sF3) )
| ~ spl11_2
| ~ spl11_19
| ~ spl11_51
| spl11_58
| ~ spl11_278 ),
inference(evaluation,[],[f16799]) ).
tff(f16799,plain,
( ! [X126: $int] :
( $less(X126,sF10)
| $less(-1,sF3)
| ( 1 = -1 )
| $less(1,X126) )
| ~ spl11_2
| ~ spl11_19
| ~ spl11_51
| spl11_58
| ~ spl11_278 ),
inference(resolution,[],[f16424,f954]) ).
tff(f16957,plain,
( spl11_340
| spl11_345
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_271
| ~ spl11_278 ),
inference(avatar_split_clause,[],[f16861,f11316,f9877,f982,f264,f191,f16953,f16926]) ).
tff(f16861,plain,
( ! [X132: $int] :
( $less(X132,sF10)
| $less(-1,sF6)
| $less(1,X132) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_271
| ~ spl11_278 ),
inference(evaluation,[],[f16805]) ).
tff(f16805,plain,
( ! [X132: $int] :
( $less(1,X132)
| ( 1 = -1 )
| $less(-1,sF6)
| $less(X132,sF10) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_271
| ~ spl11_278 ),
inference(resolution,[],[f16424,f9906]) ).
tff(f16956,plain,
( spl11_338
| spl11_342
| ~ spl11_2
| ~ spl11_19
| ~ spl11_28
| spl11_58
| ~ spl11_278 ),
inference(avatar_split_clause,[],[f16875,f11316,f982,f518,f264,f191,f16933,f16917]) ).
tff(f16875,plain,
( ! [X14: $int] :
( $less(X14,sF10)
| $less(-1,sF8)
| $less(0,X14) )
| ~ spl11_2
| ~ spl11_19
| ~ spl11_28
| spl11_58
| ~ spl11_278 ),
inference(evaluation,[],[f16729]) ).
tff(f16729,plain,
( ! [X14: $int] :
( $less(-1,sF8)
| ( 0 = -1 )
| $less(0,X14)
| $less(X14,sF10) )
| ~ spl11_2
| ~ spl11_19
| ~ spl11_28
| spl11_58
| ~ spl11_278 ),
inference(resolution,[],[f16424,f548]) ).
tff(f16955,plain,
( spl11_338
| spl11_345
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_268
| ~ spl11_278 ),
inference(avatar_split_clause,[],[f16859,f11316,f9679,f982,f264,f191,f16953,f16917]) ).
tff(f16859,plain,
( ! [X130: $int] :
( $less(1,X130)
| $less(X130,sF10)
| $less(-1,sF8) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_268
| ~ spl11_278 ),
inference(evaluation,[],[f16803]) ).
tff(f16803,plain,
( ! [X130: $int] :
( $less(1,X130)
| $less(-1,sF8)
| $less(X130,sF10)
| ( 1 = -1 ) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_268
| ~ spl11_278 ),
inference(resolution,[],[f16424,f9868]) ).
tff(f16949,plain,
( ~ spl11_55
| ~ spl11_12
| ~ spl11_136 ),
inference(avatar_split_clause,[],[f16887,f2701,f235,f970]) ).
tff(f16887,plain,
( ~ $less(sK0,sF3)
| ~ spl11_12
| ~ spl11_136 ),
inference(resolution,[],[f343,f2702]) ).
tff(f16947,plain,
( ~ spl11_344
| ~ spl11_14
| ~ spl11_125 ),
inference(avatar_split_clause,[],[f16592,f2375,f243,f16945]) ).
tff(f16592,plain,
( ~ $less(sF6,sF5)
| ~ spl11_14
| ~ spl11_125 ),
inference(resolution,[],[f342,f2376]) ).
tff(f16943,plain,
( spl11_337
| spl11_332
| ~ spl11_2
| ~ spl11_19
| ~ spl11_25
| spl11_58
| ~ spl11_278 ),
inference(avatar_split_clause,[],[f16873,f11316,f982,f471,f264,f191,f16582,f16913]) ).
tff(f16873,plain,
( ! [X134: $int] :
( $less(-1,sF4)
| $less(3,X134)
| $less(X134,sF10) )
| ~ spl11_2
| ~ spl11_19
| ~ spl11_25
| spl11_58
| ~ spl11_278 ),
inference(evaluation,[],[f16807]) ).
tff(f16807,plain,
( ! [X134: $int] :
( $less(X134,sF10)
| $less(-1,sF4)
| ( 3 = -1 )
| $less(3,X134) )
| ~ spl11_2
| ~ spl11_19
| ~ spl11_25
| spl11_58
| ~ spl11_278 ),
inference(resolution,[],[f16424,f475]) ).
tff(f16942,plain,
( spl11_332
| spl11_342
| ~ spl11_2
| ~ spl11_19
| ~ spl11_24
| spl11_58
| ~ spl11_278 ),
inference(avatar_split_clause,[],[f16855,f11316,f982,f467,f264,f191,f16933,f16582]) ).
tff(f16855,plain,
( ! [X12: $int] :
( $less(0,X12)
| $less(-1,sF4)
| $less(X12,sF10) )
| ~ spl11_2
| ~ spl11_19
| ~ spl11_24
| spl11_58
| ~ spl11_278 ),
inference(evaluation,[],[f16727]) ).
tff(f16727,plain,
( ! [X12: $int] :
( $less(0,X12)
| $less(-1,sF4)
| ( 0 = -1 )
| $less(X12,sF10) )
| ~ spl11_2
| ~ spl11_19
| ~ spl11_24
| spl11_58
| ~ spl11_278 ),
inference(resolution,[],[f16424,f474]) ).
tff(f16941,plain,
( ~ spl11_343
| ~ spl11_14
| ~ spl11_126 ),
inference(avatar_split_clause,[],[f16591,f2440,f243,f16939]) ).
tff(f16591,plain,
( ~ $less(sF4,sF5)
| ~ spl11_14
| ~ spl11_126 ),
inference(resolution,[],[f342,f2441]) ).
tff(f16937,plain,
( spl11_324
| spl11_342
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_278
| ~ spl11_293 ),
inference(avatar_split_clause,[],[f16854,f13385,f11316,f982,f264,f191,f16933,f16456]) ).
tff(f16854,plain,
( ! [X30: $int] :
( $less(0,X30)
| $less(X30,sF10)
| $less(-1,sF5) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_278
| ~ spl11_293 ),
inference(evaluation,[],[f16738]) ).
tff(f16738,plain,
( ! [X30: $int] :
( $less(X30,sF10)
| $less(-1,sF5)
| $less(0,X30)
| ( 0 = -1 ) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_278
| ~ spl11_293 ),
inference(resolution,[],[f16424,f14155]) ).
tff(f16935,plain,
( spl11_341
| spl11_342
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_179
| ~ spl11_278 ),
inference(avatar_split_clause,[],[f16872,f11316,f4358,f982,f264,f191,f16933,f16930]) ).
tff(f16872,plain,
( ! [X21: $int] :
( $less(0,X21)
| $less(X21,sF10)
| $less(-1,sF7) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_179
| ~ spl11_278 ),
inference(evaluation,[],[f16734]) ).
tff(f16734,plain,
( ! [X21: $int] :
( ( 0 = -1 )
| $less(0,X21)
| $less(-1,sF7)
| $less(X21,sF10) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_179
| ~ spl11_278 ),
inference(resolution,[],[f16424,f4486]) ).
tff(f16928,plain,
( spl11_340
| spl11_337
| ~ spl11_2
| ~ spl11_19
| ~ spl11_27
| spl11_58
| ~ spl11_278 ),
inference(avatar_split_clause,[],[f16866,f11316,f982,f484,f264,f191,f16913,f16926]) ).
tff(f16866,plain,
( ! [X137: $int] :
( $less(X137,sF10)
| $less(-1,sF6)
| $less(3,X137) )
| ~ spl11_2
| ~ spl11_19
| ~ spl11_27
| spl11_58
| ~ spl11_278 ),
inference(evaluation,[],[f16810]) ).
tff(f16810,plain,
( ! [X137: $int] :
( $less(X137,sF10)
| ( 3 = -1 )
| $less(3,X137)
| $less(-1,sF6) )
| ~ spl11_2
| ~ spl11_19
| ~ spl11_27
| spl11_58
| ~ spl11_278 ),
inference(resolution,[],[f16424,f507]) ).
tff(f16923,plain,
( ~ spl11_339
| ~ spl11_14
| ~ spl11_56 ),
inference(avatar_split_clause,[],[f16594,f973,f243,f16921]) ).
tff(f16594,plain,
( ~ $less(sF10,sF5)
| ~ spl11_14
| ~ spl11_56 ),
inference(resolution,[],[f342,f974]) ).
tff(f16919,plain,
( spl11_338
| spl11_336
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_184
| ~ spl11_278 ),
inference(avatar_split_clause,[],[f16857,f11316,f4633,f982,f264,f191,f16909,f16917]) ).
tff(f16857,plain,
( ! [X143: $int] :
( $less(X143,sF10)
| $less(-1,sF8)
| $less(2,X143) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_184
| ~ spl11_278 ),
inference(evaluation,[],[f16816]) ).
tff(f16816,plain,
( ! [X143: $int] :
( ( 2 = -1 )
| $less(2,X143)
| $less(X143,sF10)
| $less(-1,sF8) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_184
| ~ spl11_278 ),
inference(resolution,[],[f16424,f7173]) ).
tff(f16915,plain,
( spl11_327
| spl11_337
| ~ spl11_2
| ~ spl11_19
| ~ spl11_49
| spl11_58
| ~ spl11_278 ),
inference(avatar_split_clause,[],[f16852,f11316,f982,f913,f264,f191,f16913,f16469]) ).
tff(f16852,plain,
( ! [X135: $int] :
( $less(X135,sF10)
| $less(3,X135)
| $less(-1,sF3) )
| ~ spl11_2
| ~ spl11_19
| ~ spl11_49
| spl11_58
| ~ spl11_278 ),
inference(evaluation,[],[f16808]) ).
tff(f16808,plain,
( ! [X135: $int] :
( $less(3,X135)
| ( 3 = -1 )
| $less(-1,sF3)
| $less(X135,sF10) )
| ~ spl11_2
| ~ spl11_19
| ~ spl11_49
| spl11_58
| ~ spl11_278 ),
inference(resolution,[],[f16424,f924]) ).
tff(f16911,plain,
( spl11_336
| spl11_332
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_234
| ~ spl11_278 ),
inference(avatar_split_clause,[],[f16850,f11316,f6513,f982,f264,f191,f16582,f16909]) ).
tff(f16850,plain,
( ! [X141: $int] :
( $less(-1,sF4)
| $less(X141,sF10)
| $less(2,X141) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_234
| ~ spl11_278 ),
inference(evaluation,[],[f16814]) ).
tff(f16814,plain,
( ! [X141: $int] :
( ( 2 = -1 )
| $less(-1,sF4)
| $less(X141,sF10)
| $less(2,X141) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_234
| ~ spl11_278 ),
inference(resolution,[],[f16424,f6633]) ).
tff(f16907,plain,
( ~ spl11_335
| ~ spl11_14
| ~ spl11_50 ),
inference(avatar_split_clause,[],[f16588,f916,f243,f16905]) ).
tff(f16588,plain,
( ~ $less(sK0,sF5)
| ~ spl11_14
| ~ spl11_50 ),
inference(resolution,[],[f342,f917]) ).
tff(f16685,plain,
( spl11_334
| spl11_326
| ~ spl11_2
| ~ spl11_12
| ~ spl11_19
| spl11_58
| ~ spl11_278 ),
inference(avatar_split_clause,[],[f16415,f11316,f982,f264,f235,f191,f16466,f16683]) ).
tff(f16415,plain,
( ! [X26: $int] :
( $less(X26,sF10)
| $less(sK2,X26)
| $less($uminus(abs1(1)),sF3) )
| ~ spl11_2
| ~ spl11_12
| ~ spl11_19
| spl11_58
| ~ spl11_278 ),
inference(resolution,[],[f15747,f333]) ).
tff(f16610,plain,
( ~ spl11_333
| ~ spl11_14
| ~ spl11_34 ),
inference(avatar_split_clause,[],[f16589,f590,f243,f16608]) ).
tff(f16589,plain,
( ~ $less(sK2,sF5)
| ~ spl11_14
| ~ spl11_34 ),
inference(resolution,[],[f342,f591]) ).
tff(f16584,plain,
( spl11_332
| ~ spl11_139
| ~ spl11_329 ),
inference(avatar_split_clause,[],[f16497,f16490,f2820,f16582]) ).
tff(f16497,plain,
( $less(-1,sF4)
| ~ spl11_139
| ~ spl11_329 ),
inference(resolution,[],[f16491,f2971]) ).
tff(f16508,plain,
( spl11_331
| ~ spl11_136
| ~ spl11_329 ),
inference(avatar_split_clause,[],[f16501,f16490,f2701,f16506]) ).
tff(f16501,plain,
( $less(-1,sK0)
| ~ spl11_136
| ~ spl11_329 ),
inference(resolution,[],[f16491,f2707]) ).
tff(f16496,plain,
( spl11_330
| spl11_325
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_278 ),
inference(avatar_split_clause,[],[f16414,f11316,f982,f264,f243,f191,f16459,f16494]) ).
tff(f16414,plain,
( ! [X25: $int] :
( $less(sK1,X25)
| $less($uminus(abs1(1)),sF5)
| $less(X25,sF10) )
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_278 ),
inference(resolution,[],[f15747,f332]) ).
tff(f16492,plain,
( spl11_329
| ~ spl11_319 ),
inference(avatar_split_clause,[],[f16488,f15763,f16490]) ).
tff(f15763,plain,
( spl11_319
<=> $less($uminus(abs1(1)),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_319])]) ).
tff(f16488,plain,
( $less(-1,sK2)
| ~ spl11_319 ),
inference(evaluation,[],[f16485]) ).
tff(f16485,plain,
( $less(1,0)
| $less($uminus(1),sK2)
| ~ spl11_319 ),
inference(superposition,[],[f15764,f126]) ).
tff(f15764,plain,
( $less($uminus(abs1(1)),sK2)
| ~ spl11_319 ),
inference(avatar_component_clause,[],[f15763]) ).
tff(f16475,plain,
( spl11_328
| ~ spl11_2
| ~ spl11_278 ),
inference(avatar_split_clause,[],[f15736,f11316,f191,f16473]) ).
tff(f15736,plain,
( $less($uminus(abs1(1)),sK1)
| ~ spl11_2
| ~ spl11_278 ),
inference(resolution,[],[f11317,f358]) ).
tff(f16471,plain,
( spl11_326
| spl11_327
| ~ spl11_2
| ~ spl11_12
| ~ spl11_19
| spl11_58
| ~ spl11_278 ),
inference(avatar_split_clause,[],[f16443,f11316,f982,f264,f235,f191,f16469,f16466]) ).
tff(f16443,plain,
( ! [X26: $int] :
( $less(-1,sF3)
| $less(sK2,X26)
| $less(X26,sF10) )
| ~ spl11_2
| ~ spl11_12
| ~ spl11_19
| spl11_58
| ~ spl11_278 ),
inference(resolution,[],[f16423,f333]) ).
tff(f16461,plain,
( spl11_324
| spl11_325
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_278 ),
inference(avatar_split_clause,[],[f16442,f11316,f982,f264,f243,f191,f16459,f16456]) ).
tff(f16442,plain,
( ! [X25: $int] :
( $less(sK1,X25)
| $less(-1,sF5)
| $less(X25,sF10) )
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_278 ),
inference(resolution,[],[f16423,f332]) ).
tff(f16388,plain,
( spl11_318
| spl11_323
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_278 ),
inference(avatar_split_clause,[],[f16033,f11316,f982,f264,f191,f16386,f15759]) ).
tff(f16386,plain,
( spl11_323
<=> ( 0 = $uminus(abs1(1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_323])]) ).
tff(f16033,plain,
( ( 0 = $uminus(abs1(1)) )
| $less($uminus(abs1(1)),sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_278 ),
inference(resolution,[],[f15743,f52]) ).
tff(f16384,plain,
( spl11_322
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_278 ),
inference(avatar_split_clause,[],[f16372,f11316,f982,f264,f191,f16382]) ).
tff(f16372,plain,
( $less(-1,sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_278 ),
inference(evaluation,[],[f16215]) ).
tff(f16215,plain,
( ( 0 = -1 )
| $less(-1,sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_278 ),
inference(resolution,[],[f16187,f52]) ).
tff(f16187,plain,
( ! [X2: $int] :
( $less(-1,X2)
| ( 0 = X2 )
| $less(X2,sF10) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_278 ),
inference(evaluation,[],[f16159]) ).
tff(f16159,plain,
( ! [X2: $int] :
( $less(1,0)
| ( 0 = X2 )
| $less($uminus(1),X2)
| $less(X2,sF10) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_278 ),
inference(superposition,[],[f15743,f126]) ).
tff(f16214,plain,
( spl11_321
| ~ spl11_14
| ~ spl11_88 ),
inference(avatar_split_clause,[],[f15894,f1440,f243,f16212]) ).
tff(f15894,plain,
( $less(1,sF5)
| ~ spl11_14
| ~ spl11_88 ),
inference(subsumption_resolution,[],[f15848,f52]) ).
tff(f15848,plain,
( $less(1,sF5)
| $less(sK1,sK1)
| ~ spl11_14
| ~ spl11_88 ),
inference(resolution,[],[f332,f9642]) ).
tff(f16028,plain,
( spl11_320
| ~ spl11_12
| spl11_135 ),
inference(avatar_split_clause,[],[f15896,f2696,f235,f16026]) ).
tff(f2696,plain,
( spl11_135
<=> $less(sK2,2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_135])]) ).
tff(f15896,plain,
( $less(2,sF3)
| ~ spl11_12
| spl11_135 ),
inference(resolution,[],[f333,f2697]) ).
tff(f2697,plain,
( ~ $less(sK2,2)
| spl11_135 ),
inference(avatar_component_clause,[],[f2696]) ).
tff(f15765,plain,
( spl11_319
| ~ spl11_1
| ~ spl11_278 ),
inference(avatar_split_clause,[],[f15735,f11316,f187,f15763]) ).
tff(f15735,plain,
( $less($uminus(abs1(1)),sK2)
| ~ spl11_1
| ~ spl11_278 ),
inference(resolution,[],[f11317,f357]) ).
tff(f15761,plain,
( spl11_318
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_278 ),
inference(avatar_split_clause,[],[f15742,f11316,f982,f264,f191,f15759]) ).
tff(f15742,plain,
( $less($uminus(abs1(1)),sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_278 ),
inference(resolution,[],[f11317,f1404]) ).
tff(f15328,plain,
( spl11_317
| ~ spl11_290 ),
inference(avatar_split_clause,[],[f15197,f13115,f15326]) ).
tff(f15326,plain,
( spl11_317
<=> $less($uminus(sF5),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_317])]) ).
tff(f15197,plain,
( $less($uminus(sF5),sF10)
| ~ spl11_290 ),
inference(resolution,[],[f13116,f52]) ).
tff(f13116,plain,
( ! [X6: $int] :
( $less($uminus(sF5),X6)
| $less(X6,sF10) )
| ~ spl11_290 ),
inference(avatar_component_clause,[],[f13115]) ).
tff(f14924,plain,
( spl11_316
| spl11_259
| ~ spl11_2
| ~ spl11_13
| ~ spl11_19
| ~ spl11_21
| ~ spl11_47
| spl11_58
| spl11_106
| spl11_107
| ~ spl11_174
| ~ spl11_182 ),
inference(avatar_split_clause,[],[f13011,f4626,f4212,f1792,f1726,f982,f856,f305,f264,f239,f191,f8938,f14922]) ).
tff(f14922,plain,
( spl11_316
<=> ( mod1(sK2,sF3) = mod1(0,sF3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_316])]) ).
tff(f13011,plain,
( ! [X28: $int] :
( $less($uminus(sF4),X28)
| ( mod1(sK2,sF3) = mod1(0,sF3) )
| $less(X28,sF10) )
| ~ spl11_2
| ~ spl11_13
| ~ spl11_19
| ~ spl11_21
| ~ spl11_47
| spl11_58
| spl11_106
| spl11_107
| ~ spl11_174
| ~ spl11_182 ),
inference(forward_demodulation,[],[f13010,f4627]) ).
tff(f13010,plain,
( ! [X28: $int] :
( $less($uminus(sF4),X28)
| ( mod1(sF3,sF3) = mod1(sK2,sF3) )
| $less(X28,sF10) )
| ~ spl11_2
| ~ spl11_13
| ~ spl11_19
| ~ spl11_21
| ~ spl11_47
| spl11_58
| spl11_106
| spl11_107
| ~ spl11_174 ),
inference(subsumption_resolution,[],[f13009,f4213]) ).
tff(f13009,plain,
( ! [X28: $int] :
( ~ $less($uminus(sF4),0)
| $less(X28,sF10)
| ( mod1(sF3,sF3) = mod1(sK2,sF3) )
| $less($uminus(sF4),X28) )
| ~ spl11_2
| ~ spl11_13
| ~ spl11_19
| ~ spl11_21
| ~ spl11_47
| spl11_58
| spl11_106
| spl11_107 ),
inference(subsumption_resolution,[],[f12964,f1793]) ).
tff(f12964,plain,
( ! [X28: $int] :
( $less(X28,sF10)
| $less($uminus(sF4),X28)
| $less(sK2,0)
| ( mod1(sF3,sF3) = mod1(sK2,sF3) )
| ~ $less($uminus(sF4),0) )
| ~ spl11_2
| ~ spl11_13
| ~ spl11_19
| ~ spl11_21
| ~ spl11_47
| spl11_58
| spl11_106 ),
inference(superposition,[],[f5086,f12764]) ).
tff(f5086,plain,
( ! [X0: $int] :
( ( mod1(X0,sF3) = mod1($sum($uminus(sF4),X0),sF3) )
| $less($sum($uminus(sF4),X0),0) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f4414,f47]) ).
tff(f4414,plain,
( ! [X5: $int] :
( ( mod1(X5,sF3) = mod1($sum(X5,$uminus(sF4)),sF3) )
| $less($sum(X5,$uminus(sF4)),0) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(forward_demodulation,[],[f4371,f49]) ).
tff(f4371,plain,
( ! [X5: $int] :
( ( mod1($sum(X5,0),sF3) = mod1($sum(X5,$uminus(sF4)),sF3) )
| $less($sum(X5,$uminus(sF4)),0) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f4219,f267]) ).
tff(f14764,plain,
( spl11_113
| ~ spl11_314
| spl11_315
| ~ spl11_2
| ~ spl11_19
| ~ spl11_21
| spl11_58 ),
inference(avatar_split_clause,[],[f12962,f982,f305,f264,f191,f14760,f14757,f1879]) ).
tff(f12962,plain,
( ! [X26: $int] :
( $less($uminus(sF3),X26)
| ~ $less($uminus(sF3),0)
| ( 0 = sK2 )
| $less(X26,sF10) )
| ~ spl11_2
| ~ spl11_19
| ~ spl11_21
| spl11_58 ),
inference(superposition,[],[f267,f12764]) ).
tff(f14762,plain,
( ~ spl11_314
| spl11_113
| spl11_315
| ~ spl11_2
| ~ spl11_19
| ~ spl11_21
| spl11_58 ),
inference(avatar_split_clause,[],[f12948,f982,f305,f264,f191,f14760,f1879,f14757]) ).
tff(f12948,plain,
( ! [X6: $int] :
( $less($uminus(sF3),X6)
| ( 0 = sK2 )
| ~ $less($uminus(sF3),0)
| $less(X6,sF10) )
| ~ spl11_2
| ~ spl11_19
| ~ spl11_21
| spl11_58 ),
inference(superposition,[],[f12764,f267]) ).
tff(f14576,plain,
( spl11_313
| spl11_259
| ~ spl11_2
| ~ spl11_13
| ~ spl11_19
| ~ spl11_20
| ~ spl11_47
| spl11_58
| spl11_106
| ~ spl11_174 ),
inference(avatar_split_clause,[],[f12941,f4212,f1726,f982,f856,f301,f264,f239,f191,f8938,f14574]) ).
tff(f14574,plain,
( spl11_313
<=> ( mod1(sK1,sF3) = mod1(sF5,sF3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_313])]) ).
tff(f12941,plain,
( ! [X28: $int] :
( $less($uminus(sF4),X28)
| ( mod1(sK1,sF3) = mod1(sF5,sF3) )
| $less(X28,sF10) )
| ~ spl11_2
| ~ spl11_13
| ~ spl11_19
| ~ spl11_20
| ~ spl11_47
| spl11_58
| spl11_106
| ~ spl11_174 ),
inference(subsumption_resolution,[],[f12940,f4213]) ).
tff(f12940,plain,
( ! [X28: $int] :
( $less(X28,sF10)
| ( mod1(sK1,sF3) = mod1(sF5,sF3) )
| $less($uminus(sF4),X28)
| ~ $less($uminus(sF4),0) )
| ~ spl11_2
| ~ spl11_13
| ~ spl11_19
| ~ spl11_20
| ~ spl11_47
| spl11_58
| spl11_106 ),
inference(subsumption_resolution,[],[f12898,f983]) ).
tff(f12898,plain,
( ! [X28: $int] :
( $less(sK1,0)
| ( mod1(sK1,sF3) = mod1(sF5,sF3) )
| $less($uminus(sF4),X28)
| ~ $less($uminus(sF4),0)
| $less(X28,sF10) )
| ~ spl11_2
| ~ spl11_13
| ~ spl11_19
| ~ spl11_20
| ~ spl11_47
| spl11_58
| spl11_106 ),
inference(superposition,[],[f5086,f12763]) ).
tff(f14572,plain,
( spl11_261
| spl11_312
| ~ spl11_2
| ~ spl11_19
| ~ spl11_20
| spl11_58
| ~ spl11_68
| ~ spl11_116 ),
inference(avatar_split_clause,[],[f12935,f1979,f1173,f982,f301,f264,f191,f14570,f8945]) ).
tff(f14570,plain,
( spl11_312
<=> ( mod1(0,sK1) = mod1(sF5,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_312])]) ).
tff(f12935,plain,
( ! [X27: $int] :
( ( mod1(0,sK1) = mod1(sF5,sK1) )
| $less($uminus(sF10),X27)
| $less(X27,sF10) )
| ~ spl11_2
| ~ spl11_19
| ~ spl11_20
| spl11_58
| ~ spl11_68
| ~ spl11_116 ),
inference(forward_demodulation,[],[f12934,f1980]) ).
tff(f12934,plain,
( ! [X27: $int] :
( ( mod1(sK1,sK1) = mod1(sF5,sK1) )
| $less($uminus(sF10),X27)
| $less(X27,sF10) )
| ~ spl11_2
| ~ spl11_19
| ~ spl11_20
| spl11_58
| ~ spl11_68 ),
inference(subsumption_resolution,[],[f12933,f983]) ).
tff(f12933,plain,
( ! [X27: $int] :
( $less(sK1,0)
| $less(X27,sF10)
| $less($uminus(sF10),X27)
| ( mod1(sK1,sK1) = mod1(sF5,sK1) ) )
| ~ spl11_2
| ~ spl11_19
| ~ spl11_20
| spl11_58
| ~ spl11_68 ),
inference(subsumption_resolution,[],[f12897,f1174]) ).
tff(f12897,plain,
( ! [X27: $int] :
( ~ $less($uminus(sF10),0)
| ( mod1(sK1,sK1) = mod1(sF5,sK1) )
| $less(sK1,0)
| $less(X27,sF10)
| $less($uminus(sF10),X27) )
| ~ spl11_2
| ~ spl11_19
| ~ spl11_20
| spl11_58 ),
inference(superposition,[],[f3550,f12763]) ).
tff(f3550,plain,
( ! [X0: $int] :
( ( mod1($sum($uminus(sF10),X0),sK1) = mod1(X0,sK1) )
| $less($sum($uminus(sF10),X0),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1651,f47]) ).
tff(f1651,plain,
( ! [X5: $int] :
( ( mod1($sum(X5,$uminus(sF10)),sK1) = mod1(X5,sK1) )
| $less($sum(X5,$uminus(sF10)),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f1621,f49]) ).
tff(f1621,plain,
( ! [X5: $int] :
( ( mod1($sum(X5,$uminus(sF10)),sK1) = mod1($sum(X5,0),sK1) )
| $less($sum(X5,$uminus(sF10)),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1180,f267]) ).
tff(f14568,plain,
( spl11_291
| spl11_310
| spl11_311
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_266 ),
inference(avatar_split_clause,[],[f13340,f9573,f982,f264,f191,f14566,f14563,f13372]) ).
tff(f14563,plain,
( spl11_310
<=> $less(sF5,$sum(sK1,sF10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_310])]) ).
tff(f14566,plain,
( spl11_311
<=> ( $sum(sK1,sF10) = sF5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_311])]) ).
tff(f13340,plain,
( ( $sum(sK1,sF10) = sF5 )
| $less(sF5,$sum(sK1,sF10))
| $less($sum(sK1,sF10),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_266 ),
inference(forward_demodulation,[],[f13339,f47]) ).
tff(f13339,plain,
( $less(sF5,$sum(sK1,sF10))
| ( sF5 = $sum(sF10,sK1) )
| $less($sum(sK1,sF10),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_266 ),
inference(forward_demodulation,[],[f13338,f47]) ).
tff(f13338,plain,
( $less($sum(sK1,sF10),0)
| $less(sF5,$sum(sF10,sK1))
| ( sF5 = $sum(sF10,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_266 ),
inference(forward_demodulation,[],[f13337,f47]) ).
tff(f13337,plain,
( $less($sum(sF10,sK1),0)
| $less(sF5,$sum(sF10,sK1))
| ( sF5 = $sum(sF10,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_266 ),
inference(subsumption_resolution,[],[f13277,f983]) ).
tff(f13277,plain,
( $less($sum(sF10,sK1),0)
| $less(sK1,0)
| $less(sF5,$sum(sF10,sK1))
| ( sF5 = $sum(sF10,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_266 ),
inference(superposition,[],[f1341,f9574]) ).
tff(f14201,plain,
( spl11_309
| ~ spl11_174
| ~ spl11_293 ),
inference(avatar_split_clause,[],[f14181,f13385,f4212,f14199]) ).
tff(f14181,plain,
( $less($uminus(sF4),sF5)
| ~ spl11_174
| ~ spl11_293 ),
inference(resolution,[],[f14155,f4213]) ).
tff(f14197,plain,
( spl11_308
| ~ spl11_68
| ~ spl11_293 ),
inference(avatar_split_clause,[],[f14178,f13385,f1173,f14195]) ).
tff(f14178,plain,
( $less($uminus(sF10),sF5)
| ~ spl11_68
| ~ spl11_293 ),
inference(resolution,[],[f14155,f1174]) ).
tff(f14173,plain,
( spl11_53
| spl11_290
| ~ spl11_289
| ~ spl11_2
| ~ spl11_19
| ~ spl11_20
| spl11_58 ),
inference(avatar_split_clause,[],[f12896,f982,f301,f264,f191,f13112,f13115,f951]) ).
tff(f12896,plain,
( ! [X26: $int] :
( ~ $less($uminus(sF5),0)
| $less(X26,sF10)
| $less($uminus(sF5),X26)
| ( 0 = sK1 ) )
| ~ spl11_2
| ~ spl11_19
| ~ spl11_20
| spl11_58 ),
inference(superposition,[],[f267,f12763]) ).
tff(f14171,plain,
( spl11_291
| spl11_151
| ~ spl11_297
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_266 ),
inference(avatar_split_clause,[],[f13321,f9573,f982,f264,f191,f13504,f3436,f13372]) ).
tff(f13504,plain,
( spl11_297
<=> $less($sum(sK1,sF10),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_297])]) ).
tff(f13321,plain,
( ~ $less($sum(sK1,sF10),sK1)
| ( 0 = sF5 )
| $less($sum(sK1,sF10),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_266 ),
inference(subsumption_resolution,[],[f13261,f983]) ).
tff(f13261,plain,
( ~ $less($sum(sK1,sF10),sK1)
| $less($sum(sK1,sF10),0)
| $less(sK1,0)
| ( 0 = sF5 )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_266 ),
inference(superposition,[],[f9574,f1212]) ).
tff(f1212,plain,
( ! [X2: $int] :
( ( 0 = $sum(sK1,div1(X2,sK1)) )
| ~ $less($sum(X2,sF10),sK1)
| $less(X2,0)
| $less($sum(X2,sF10),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1143,f156]) ).
tff(f14169,plain,
( spl11_151
| ~ spl11_297
| spl11_291
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_266 ),
inference(avatar_split_clause,[],[f13302,f9573,f982,f264,f191,f13372,f13504,f3436]) ).
tff(f13302,plain,
( $less($sum(sK1,sF10),0)
| ~ $less($sum(sK1,sF10),sK1)
| ( 0 = sF5 )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_266 ),
inference(forward_demodulation,[],[f13301,f47]) ).
tff(f13301,plain,
( ~ $less($sum(sK1,sF10),sK1)
| ( 0 = sF5 )
| $less($sum(sF10,sK1),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_266 ),
inference(forward_demodulation,[],[f13300,f47]) ).
tff(f13300,plain,
( ~ $less($sum(sF10,sK1),sK1)
| $less($sum(sF10,sK1),0)
| ( 0 = sF5 )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_266 ),
inference(subsumption_resolution,[],[f13263,f983]) ).
tff(f13263,plain,
( ~ $less($sum(sF10,sK1),sK1)
| $less(sK1,0)
| ( 0 = sF5 )
| $less($sum(sF10,sK1),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_266 ),
inference(superposition,[],[f1145,f9574]) ).
tff(f14168,plain,
( spl11_151
| ~ spl11_297
| spl11_291
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_266 ),
inference(avatar_split_clause,[],[f13299,f9573,f982,f264,f191,f13372,f13504,f3436]) ).
tff(f13299,plain,
( $less($sum(sK1,sF10),0)
| ~ $less($sum(sK1,sF10),sK1)
| ( 0 = sF5 )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_266 ),
inference(forward_demodulation,[],[f13298,f47]) ).
tff(f13298,plain,
( $less($sum(sF10,sK1),0)
| ( 0 = sF5 )
| ~ $less($sum(sK1,sF10),sK1)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_266 ),
inference(forward_demodulation,[],[f13297,f47]) ).
tff(f13297,plain,
( ( 0 = sF5 )
| ~ $less($sum(sF10,sK1),sK1)
| $less($sum(sF10,sK1),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_266 ),
inference(subsumption_resolution,[],[f13262,f983]) ).
tff(f13262,plain,
( ( 0 = sF5 )
| $less($sum(sF10,sK1),0)
| ~ $less($sum(sF10,sK1),sK1)
| $less(sK1,0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_266 ),
inference(superposition,[],[f9574,f1145]) ).
tff(f14166,plain,
( spl11_167
| ~ spl11_270
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74
| ~ spl11_265 ),
inference(avatar_split_clause,[],[f13244,f9569,f1276,f982,f264,f191,f9688,f3884]) ).
tff(f13244,plain,
( ~ $less($sum(sF10,sF10),$sum(sK1,sK1))
| $less($sum(sF10,sF10),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74
| ~ spl11_265 ),
inference(forward_demodulation,[],[f13243,f49]) ).
tff(f13243,plain,
( $less($sum(sF10,$sum(sF10,0)),0)
| ~ $less($sum(sF10,sF10),$sum(sK1,sK1))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74
| ~ spl11_265 ),
inference(forward_demodulation,[],[f13242,f49]) ).
tff(f13242,plain,
( ~ $less($sum(sF10,$sum(sF10,0)),$sum(sK1,sK1))
| $less($sum(sF10,$sum(sF10,0)),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74
| ~ spl11_265 ),
inference(subsumption_resolution,[],[f13241,f1277]) ).
tff(f13241,plain,
( $less(sF10,0)
| ~ $less($sum(sF10,$sum(sF10,0)),$sum(sK1,sK1))
| $less($sum(sF10,$sum(sF10,0)),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_265 ),
inference(forward_demodulation,[],[f13164,f49]) ).
tff(f13164,plain,
( $less($sum(sF10,0),0)
| ~ $less($sum(sF10,$sum(sF10,0)),$sum(sK1,sK1))
| $less($sum(sF10,$sum(sF10,0)),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_265 ),
inference(evaluation,[],[f13141]) ).
tff(f13141,plain,
( $less($sum(sF10,$sum(sF10,0)),0)
| $less($sum(sF10,0),0)
| ~ $less($sum(sF10,$sum(sF10,0)),$sum(sK1,sK1))
| $less(0,0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_265 ),
inference(superposition,[],[f1347,f9570]) ).
tff(f14162,plain,
( spl11_167
| ~ spl11_270
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74
| ~ spl11_265 ),
inference(avatar_split_clause,[],[f13230,f9569,f1276,f982,f264,f191,f9688,f3884]) ).
tff(f13230,plain,
( ~ $less($sum(sF10,sF10),$sum(sK1,sK1))
| $less($sum(sF10,sF10),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74
| ~ spl11_265 ),
inference(forward_demodulation,[],[f13229,f274]) ).
tff(f13229,plain,
( $less($sum(sF10,$sum(0,sF10)),0)
| ~ $less($sum(sF10,sF10),$sum(sK1,sK1))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74
| ~ spl11_265 ),
inference(forward_demodulation,[],[f13228,f274]) ).
tff(f13228,plain,
( ~ $less($sum(sF10,$sum(0,sF10)),$sum(sK1,sK1))
| $less($sum(sF10,$sum(0,sF10)),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74
| ~ spl11_265 ),
inference(subsumption_resolution,[],[f13227,f1277]) ).
tff(f13227,plain,
( $less(sF10,0)
| $less($sum(sF10,$sum(0,sF10)),0)
| ~ $less($sum(sF10,$sum(0,sF10)),$sum(sK1,sK1))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_265 ),
inference(forward_demodulation,[],[f13172,f274]) ).
tff(f13172,plain,
( $less($sum(0,sF10),0)
| $less($sum(sF10,$sum(0,sF10)),0)
| ~ $less($sum(sF10,$sum(0,sF10)),$sum(sK1,sK1))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_265 ),
inference(evaluation,[],[f13142]) ).
tff(f13142,plain,
( $less(0,0)
| ~ $less($sum(sF10,$sum(0,sF10)),$sum(sK1,sK1))
| $less($sum(sF10,$sum(0,sF10)),0)
| $less($sum(0,sF10),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_265 ),
inference(superposition,[],[f1348,f9570]) ).
tff(f1348,plain,
( ! [X2: $int] :
( ~ $less($sum(sF10,$sum(X2,sF10)),$sum(sK1,$sum(sK1,div1(X2,sK1))))
| $less($sum(sF10,$sum(X2,sF10)),0)
| $less(X2,0)
| $less($sum(X2,sF10),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1153,f1143]) ).
tff(f14151,plain,
( spl11_293
| spl11_151
| spl11_291
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_266 ),
inference(avatar_split_clause,[],[f13336,f9573,f982,f264,f191,f13372,f3436,f13385]) ).
tff(f13336,plain,
( $less($sum(sK1,sF10),0)
| ( 0 = sF5 )
| $less(0,sF5)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_266 ),
inference(forward_demodulation,[],[f13335,f47]) ).
tff(f13335,plain,
( $less($sum(sF10,sK1),0)
| ( 0 = sF5 )
| $less(0,sF5)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_266 ),
inference(subsumption_resolution,[],[f13274,f983]) ).
tff(f13274,plain,
( $less(sK1,0)
| $less(0,sF5)
| $less($sum(sF10,sK1),0)
| ( 0 = sF5 )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_266 ),
inference(superposition,[],[f1258,f9574]) ).
tff(f1258,plain,
( ! [X0: $int] :
( $less(0,$sum(sK1,div1(X0,sK1)))
| $less(X0,0)
| $less($sum(sF10,X0),0)
| ( 0 = $sum(sK1,div1(X0,sK1)) ) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(resolution,[],[f1155,f54]) ).
tff(f14149,plain,
( spl11_307
| ~ spl11_8
| ~ spl11_304 ),
inference(avatar_split_clause,[],[f14132,f14008,f215,f14147]) ).
tff(f14132,plain,
( $less(sF5,sF6)
| ~ spl11_8
| ~ spl11_304 ),
inference(resolution,[],[f14009,f361]) ).
tff(f14145,plain,
( spl11_306
| ~ spl11_7
| ~ spl11_304 ),
inference(avatar_split_clause,[],[f14131,f14008,f211,f14143]) ).
tff(f14131,plain,
( $less(sF5,sF4)
| ~ spl11_7
| ~ spl11_304 ),
inference(resolution,[],[f14009,f360]) ).
tff(f14141,plain,
( ~ spl11_305
| spl11_291
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_266 ),
inference(avatar_split_clause,[],[f13350,f9573,f982,f264,f191,f13372,f14138]) ).
tff(f13350,plain,
( $less($sum(sK1,sF10),0)
| ~ $less($sum(sK1,sF10),sF5)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_266 ),
inference(subsumption_resolution,[],[f13269,f983]) ).
tff(f13269,plain,
( ~ $less($sum(sK1,sF10),sF5)
| $less(sK1,0)
| $less($sum(sK1,sF10),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_266 ),
inference(superposition,[],[f1223,f9574]) ).
tff(f14140,plain,
( spl11_291
| ~ spl11_305
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_266 ),
inference(avatar_split_clause,[],[f13349,f9573,f982,f264,f191,f14138,f13372]) ).
tff(f13349,plain,
( ~ $less($sum(sK1,sF10),sF5)
| $less($sum(sK1,sF10),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_266 ),
inference(forward_demodulation,[],[f13348,f47]) ).
tff(f13348,plain,
( ~ $less($sum(sK1,sF10),sF5)
| $less($sum(sF10,sK1),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_266 ),
inference(forward_demodulation,[],[f13347,f47]) ).
tff(f13347,plain,
( ~ $less($sum(sF10,sK1),sF5)
| $less($sum(sF10,sK1),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_266 ),
inference(subsumption_resolution,[],[f13264,f983]) ).
tff(f13264,plain,
( $less($sum(sF10,sK1),0)
| ~ $less($sum(sF10,sK1),sF5)
| $less(sK1,0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_266 ),
inference(superposition,[],[f1153,f9574]) ).
tff(f14130,plain,
( ~ spl11_293
| spl11_294
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_266 ),
inference(avatar_split_clause,[],[f13362,f9573,f982,f264,f191,f13388,f13385]) ).
tff(f13362,plain,
( $less(0,$sum(sK1,sF10))
| ~ $less(0,sF5)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_266 ),
inference(subsumption_resolution,[],[f13270,f983]) ).
tff(f13270,plain,
( $less(sK1,0)
| $less(0,$sum(sK1,sF10))
| ~ $less(0,sF5)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_266 ),
inference(superposition,[],[f1225,f9574]) ).
tff(f14127,plain,
( ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_291 ),
inference(avatar_contradiction_clause,[],[f14126]) ).
tff(f14126,plain,
( $false
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_291 ),
inference(subsumption_resolution,[],[f14123,f52]) ).
tff(f14123,plain,
( $less(sF10,sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_291 ),
inference(factoring,[],[f14005]) ).
tff(f14005,plain,
( ! [X4: $int] :
( $less(sF10,X4)
| $less(X4,sF10) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_291 ),
inference(subsumption_resolution,[],[f13995,f192]) ).
tff(f13995,plain,
( ! [X4: $int] :
( $less(X4,sF10)
| ~ $less(0,sK1)
| $less(sF10,X4) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_291 ),
inference(superposition,[],[f13867,f274]) ).
tff(f13867,plain,
( ! [X22: $int,X23: $int] :
( $less($sum(X22,sF10),X23)
| ~ $less(X22,sK1)
| $less(X23,sF10) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_291 ),
inference(resolution,[],[f13490,f55]) ).
tff(f13490,plain,
( ! [X4: $int,X5: $int] :
( ~ $less(X4,$sum(sK1,sF10))
| $less(X4,X5)
| $less(X5,sF10) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_291 ),
inference(resolution,[],[f13373,f8267]) ).
tff(f13373,plain,
( $less($sum(sK1,sF10),0)
| ~ spl11_291 ),
inference(avatar_component_clause,[],[f13372]) ).
tff(f14125,plain,
( ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_291 ),
inference(avatar_contradiction_clause,[],[f14124]) ).
tff(f14124,plain,
( $false
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_291 ),
inference(subsumption_resolution,[],[f14015,f52]) ).
tff(f14015,plain,
( $less(sF10,sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_291 ),
inference(resolution,[],[f14005,f52]) ).
tff(f14010,plain,
( spl11_304
| ~ spl11_23
| ~ spl11_292 ),
inference(avatar_split_clause,[],[f13660,f13375,f397,f14008]) ).
tff(f13660,plain,
( $less(sF5,sK0)
| ~ spl11_23
| ~ spl11_292 ),
inference(resolution,[],[f13511,f431]) ).
tff(f13511,plain,
( $less(sF5,0)
| ~ spl11_292 ),
inference(avatar_component_clause,[],[f13375]) ).
tff(f13851,plain,
( spl11_302
| spl11_303
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_292 ),
inference(avatar_split_clause,[],[f13671,f13375,f982,f264,f191,f13849,f13846]) ).
tff(f13846,plain,
( spl11_302
<=> ( sF5 = -1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_302])]) ).
tff(f13671,plain,
( ! [X6: $int] :
( $less(sF5,X6)
| $less(X6,sF10)
| ( sF5 = -1 ) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_292 ),
inference(resolution,[],[f13511,f12850]) ).
tff(f13844,plain,
( spl11_295
| spl11_301
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_291 ),
inference(avatar_split_clause,[],[f13516,f13372,f982,f264,f191,f13842,f13496]) ).
tff(f13496,plain,
( spl11_295
<=> $less($sum(sK1,sF10),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_295])]) ).
tff(f13842,plain,
( spl11_301
<=> ( 0 = $sum(sK1,sF10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_301])]) ).
tff(f13516,plain,
( ( 0 = $sum(sK1,sF10) )
| $less($sum(sK1,sF10),sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_291 ),
inference(resolution,[],[f13486,f52]) ).
tff(f13486,plain,
( ! [X0: $int] :
( $less($sum(sK1,sF10),X0)
| $less(X0,sF10)
| ( 0 = X0 ) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_291 ),
inference(resolution,[],[f13373,f1464]) ).
tff(f13682,plain,
( spl11_300
| ~ spl11_2
| ~ spl11_292 ),
inference(avatar_split_clause,[],[f13659,f13375,f191,f13680]) ).
tff(f13659,plain,
( $less(sF5,sK1)
| ~ spl11_2
| ~ spl11_292 ),
inference(resolution,[],[f13511,f358]) ).
tff(f13678,plain,
( spl11_299
| ~ spl11_1
| ~ spl11_292 ),
inference(avatar_split_clause,[],[f13658,f13375,f187,f13676]) ).
tff(f13658,plain,
( $less(sF5,sK2)
| ~ spl11_1
| ~ spl11_292 ),
inference(resolution,[],[f13511,f357]) ).
tff(f13512,plain,
( spl11_292
| spl11_151
| spl11_294
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_266 ),
inference(avatar_split_clause,[],[f13346,f9573,f982,f264,f191,f13388,f3436,f13375]) ).
tff(f13346,plain,
( $less(0,$sum(sK1,sF10))
| ( 0 = sF5 )
| $less(sF5,0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_266 ),
inference(forward_demodulation,[],[f13345,f47]) ).
tff(f13345,plain,
( ( 0 = sF5 )
| $less(sF5,0)
| $less(0,$sum(sF10,sK1))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_266 ),
inference(subsumption_resolution,[],[f13271,f983]) ).
tff(f13271,plain,
( $less(sF5,0)
| ( 0 = sF5 )
| $less(sK1,0)
| $less(0,$sum(sF10,sK1))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_266 ),
inference(superposition,[],[f1246,f9574]) ).
tff(f1246,plain,
( ! [X0: $int] :
( $less($sum(sK1,div1(X0,sK1)),0)
| $less(X0,0)
| $less(0,$sum(sF10,X0))
| ( 0 = $sum(sK1,div1(X0,sK1)) ) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(resolution,[],[f1154,f54]) ).
tff(f13510,plain,
( spl11_298
| ~ spl11_23
| ~ spl11_291 ),
inference(avatar_split_clause,[],[f13480,f13372,f397,f13508]) ).
tff(f13508,plain,
( spl11_298
<=> $less($sum(sK1,sF10),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_298])]) ).
tff(f13480,plain,
( $less($sum(sK1,sF10),sK0)
| ~ spl11_23
| ~ spl11_291 ),
inference(resolution,[],[f13373,f431]) ).
tff(f13506,plain,
( spl11_297
| ~ spl11_2
| ~ spl11_291 ),
inference(avatar_split_clause,[],[f13479,f13372,f191,f13504]) ).
tff(f13479,plain,
( $less($sum(sK1,sF10),sK1)
| ~ spl11_2
| ~ spl11_291 ),
inference(resolution,[],[f13373,f358]) ).
tff(f13502,plain,
( spl11_296
| ~ spl11_1
| ~ spl11_291 ),
inference(avatar_split_clause,[],[f13478,f13372,f187,f13500]) ).
tff(f13478,plain,
( $less($sum(sK1,sF10),sK2)
| ~ spl11_1
| ~ spl11_291 ),
inference(resolution,[],[f13373,f357]) ).
tff(f13498,plain,
( spl11_295
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_291 ),
inference(avatar_split_clause,[],[f13485,f13372,f982,f264,f191,f13496]) ).
tff(f13485,plain,
( $less($sum(sK1,sF10),sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_291 ),
inference(resolution,[],[f13373,f1404]) ).
tff(f13390,plain,
( ~ spl11_293
| spl11_294
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_266 ),
inference(avatar_split_clause,[],[f13361,f9573,f982,f264,f191,f13388,f13385]) ).
tff(f13361,plain,
( $less(0,$sum(sK1,sF10))
| ~ $less(0,sF5)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_266 ),
inference(forward_demodulation,[],[f13360,f47]) ).
tff(f13360,plain,
( ~ $less(0,sF5)
| $less(0,$sum(sF10,sK1))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_266 ),
inference(subsumption_resolution,[],[f13265,f983]) ).
tff(f13265,plain,
( $less(sK1,0)
| $less(0,$sum(sF10,sK1))
| ~ $less(0,sF5)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_266 ),
inference(superposition,[],[f1154,f9574]) ).
tff(f13383,plain,
( spl11_291
| ~ spl11_292
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_266 ),
inference(avatar_split_clause,[],[f13334,f9573,f982,f264,f191,f13375,f13372]) ).
tff(f13334,plain,
( ~ $less(sF5,0)
| $less($sum(sK1,sF10),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_266 ),
inference(forward_demodulation,[],[f13333,f47]) ).
tff(f13333,plain,
( ~ $less(sF5,0)
| $less($sum(sF10,sK1),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_266 ),
inference(subsumption_resolution,[],[f13266,f983]) ).
tff(f13266,plain,
( $less(sK1,0)
| ~ $less(sF5,0)
| $less($sum(sF10,sK1),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_266 ),
inference(superposition,[],[f1155,f9574]) ).
tff(f13377,plain,
( spl11_291
| ~ spl11_292
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_266 ),
inference(avatar_split_clause,[],[f13326,f9573,f982,f264,f191,f13375,f13372]) ).
tff(f13326,plain,
( ~ $less(sF5,0)
| $less($sum(sK1,sF10),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_266 ),
inference(subsumption_resolution,[],[f13268,f983]) ).
tff(f13268,plain,
( ~ $less(sF5,0)
| $less(sK1,0)
| $less($sum(sK1,sF10),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_266 ),
inference(superposition,[],[f1221,f9574]) ).
tff(f1221,plain,
( ! [X4: $int] :
( ~ $less($sum(sK1,div1(X4,sK1)),0)
| $less($sum(X4,sF10),0)
| $less(X4,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(subsumption_resolution,[],[f1217,f192]) ).
tff(f1217,plain,
( ! [X4: $int] :
( $less($sum(X4,sF10),0)
| ~ $less(0,sK1)
| $less(X4,0)
| ~ $less($sum(sK1,div1(X4,sK1)),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f144,f1143]) ).
tff(f13256,plain,
( spl11_167
| ~ spl11_270
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74
| ~ spl11_265 ),
inference(avatar_split_clause,[],[f13203,f9569,f1276,f982,f264,f191,f9688,f3884]) ).
tff(f13203,plain,
( ~ $less($sum(sF10,sF10),$sum(sK1,sK1))
| $less($sum(sF10,sF10),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74
| ~ spl11_265 ),
inference(forward_demodulation,[],[f13202,f265]) ).
tff(f13202,plain,
( ~ $less($sum(sF10,sF10),$sum(sK1,sK1))
| $less($sum(sF10,$product(sK1,sK1)),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74
| ~ spl11_265 ),
inference(forward_demodulation,[],[f13201,f265]) ).
tff(f13201,plain,
( ~ $less($sum(sF10,$product(sK1,sK1)),$sum(sK1,sK1))
| $less($sum(sF10,$product(sK1,sK1)),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74
| ~ spl11_265 ),
inference(forward_demodulation,[],[f13200,f49]) ).
tff(f13200,plain,
( $less($sum(sF10,$sum($product(sK1,sK1),0)),0)
| ~ $less($sum(sF10,$product(sK1,sK1)),$sum(sK1,sK1))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74
| ~ spl11_265 ),
inference(forward_demodulation,[],[f13199,f49]) ).
tff(f13199,plain,
( ~ $less($sum(sF10,$sum($product(sK1,sK1),0)),$sum(sK1,sK1))
| $less($sum(sF10,$sum($product(sK1,sK1),0)),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74
| ~ spl11_265 ),
inference(subsumption_resolution,[],[f13198,f1277]) ).
tff(f13198,plain,
( $less(sF10,0)
| $less($sum(sF10,$sum($product(sK1,sK1),0)),0)
| ~ $less($sum(sF10,$sum($product(sK1,sK1),0)),$sum(sK1,sK1))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_265 ),
inference(forward_demodulation,[],[f13197,f265]) ).
tff(f13197,plain,
( $less($product(sK1,sK1),0)
| ~ $less($sum(sF10,$sum($product(sK1,sK1),0)),$sum(sK1,sK1))
| $less($sum(sF10,$sum($product(sK1,sK1),0)),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_265 ),
inference(forward_demodulation,[],[f13196,f49]) ).
tff(f13196,plain,
( $less($sum($product(sK1,sK1),0),0)
| $less($sum(sF10,$sum($product(sK1,sK1),0)),0)
| ~ $less($sum(sF10,$sum($product(sK1,sK1),0)),$sum(sK1,sK1))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_265 ),
inference(subsumption_resolution,[],[f13185,f983]) ).
tff(f13185,plain,
( ~ $less($sum(sF10,$sum($product(sK1,sK1),0)),$sum(sK1,sK1))
| $less(sK1,0)
| $less($sum(sF10,$sum($product(sK1,sK1),0)),0)
| $less($sum($product(sK1,sK1),0),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_265 ),
inference(evaluation,[],[f13148]) ).
tff(f13148,plain,
( $less(sK1,0)
| ~ $less($sum(sF10,$sum($product(sK1,sK1),0)),$sum(sK1,sK1))
| $less($sum(sF10,$sum($product(sK1,sK1),0)),0)
| $less(0,0)
| $less($sum($product(sK1,sK1),0),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_265 ),
inference(superposition,[],[f1358,f9570]) ).
tff(f1358,plain,
( ! [X3: $int,X4: $int] :
( ~ $less($sum(sF10,$sum($product(sK1,X3),X4)),$sum(sK1,$sum(X3,div1(X4,sK1))))
| $less($sum($product(sK1,X3),X4),0)
| $less(X4,0)
| $less(X3,0)
| $less($sum(sF10,$sum($product(sK1,X3),X4)),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(subsumption_resolution,[],[f1349,f192]) ).
tff(f1349,plain,
( ! [X3: $int,X4: $int] :
( $less($sum($product(sK1,X3),X4),0)
| $less($sum(sF10,$sum($product(sK1,X3),X4)),0)
| ~ $less($sum(sF10,$sum($product(sK1,X3),X4)),$sum(sK1,$sum(X3,div1(X4,sK1))))
| $less(X3,0)
| $less(X4,0)
| ~ $less(0,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1153,f151]) ).
tff(f13117,plain,
( ~ spl11_289
| spl11_53
| spl11_290
| ~ spl11_2
| ~ spl11_19
| ~ spl11_20
| spl11_58 ),
inference(avatar_split_clause,[],[f12882,f982,f301,f264,f191,f13115,f951,f13112]) ).
tff(f12882,plain,
( ! [X6: $int] :
( $less(X6,sF10)
| ( 0 = sK1 )
| $less($uminus(sF5),X6)
| ~ $less($uminus(sF5),0) )
| ~ spl11_2
| ~ spl11_19
| ~ spl11_20
| spl11_58 ),
inference(superposition,[],[f12763,f267]) ).
tff(f13091,plain,
( spl11_288
| ~ spl11_22
| ~ spl11_251 ),
inference(avatar_split_clause,[],[f12762,f7754,f309,f13089]) ).
tff(f13089,plain,
( spl11_288
<=> $less(sF8,$sum(sK0,sF10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_288])]) ).
tff(f7754,plain,
( spl11_251
<=> $less($sum(sK1,sF7),$sum(sK0,sF10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_251])]) ).
tff(f12762,plain,
( $less(sF8,$sum(sK0,sF10))
| ~ spl11_22
| ~ spl11_251 ),
inference(forward_demodulation,[],[f7755,f310]) ).
tff(f7755,plain,
( $less($sum(sK1,sF7),$sum(sK0,sF10))
| ~ spl11_251 ),
inference(avatar_component_clause,[],[f7754]) ).
tff(f12878,plain,
( spl11_259
| spl11_287
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_174 ),
inference(avatar_split_clause,[],[f12858,f4212,f982,f264,f191,f12876,f8938]) ).
tff(f12876,plain,
( spl11_287
<=> ( $uminus(sF4) = -1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_287])]) ).
tff(f12858,plain,
( ! [X13: $int] :
( ( $uminus(sF4) = -1 )
| $less(X13,sF10)
| $less($uminus(sF4),X13) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_174 ),
inference(resolution,[],[f12850,f4213]) ).
tff(f12874,plain,
( spl11_286
| spl11_261
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_68 ),
inference(avatar_split_clause,[],[f12855,f1173,f982,f264,f191,f8945,f12872]) ).
tff(f12872,plain,
( spl11_286
<=> ( $uminus(sF10) = -1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_286])]) ).
tff(f12855,plain,
( ! [X7: $int] :
( $less($uminus(sF10),X7)
| ( $uminus(sF10) = -1 )
| $less(X7,sF10) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_68 ),
inference(resolution,[],[f12850,f1174]) ).
tff(f12743,plain,
( ~ spl11_285
| ~ spl11_22
| spl11_250 ),
inference(avatar_split_clause,[],[f12703,f7750,f309,f12741]) ).
tff(f12741,plain,
( spl11_285
<=> $less($sum(sK1,sF8),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_285])]) ).
tff(f7750,plain,
( spl11_250
<=> $less($sum(sK1,$sum(sK1,sF7)),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_250])]) ).
tff(f12703,plain,
( ~ $less($sum(sK1,sF8),0)
| ~ spl11_22
| spl11_250 ),
inference(forward_demodulation,[],[f7751,f310]) ).
tff(f7751,plain,
( ~ $less($sum(sK1,$sum(sK1,sF7)),0)
| spl11_250 ),
inference(avatar_component_clause,[],[f7750]) ).
tff(f12648,plain,
( spl11_260
| spl11_259
| ~ spl11_2
| ~ spl11_13
| ~ spl11_19
| ~ spl11_47
| spl11_58
| spl11_106
| ~ spl11_174 ),
inference(avatar_split_clause,[],[f12426,f4212,f1726,f982,f856,f264,f239,f191,f8938,f8941]) ).
tff(f8941,plain,
( spl11_260
<=> ( mod1(1,sF3) = mod1(0,sF3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_260])]) ).
tff(f12426,plain,
( ! [X3: $int] :
( $less($uminus(sF4),X3)
| $less(X3,sF10)
| ( mod1(1,sF3) = mod1(0,sF3) ) )
| ~ spl11_2
| ~ spl11_13
| ~ spl11_19
| ~ spl11_47
| spl11_58
| spl11_106
| ~ spl11_174 ),
inference(subsumption_resolution,[],[f12413,f4213]) ).
tff(f12413,plain,
( ! [X3: $int] :
( $less(X3,sF10)
| ~ $less($uminus(sF4),0)
| ( mod1(1,sF3) = mod1(0,sF3) )
| $less($uminus(sF4),X3) )
| ~ spl11_2
| ~ spl11_13
| ~ spl11_19
| ~ spl11_47
| spl11_58
| spl11_106 ),
inference(evaluation,[],[f12395]) ).
tff(f12395,plain,
( ! [X3: $int] :
( ( mod1(1,sF3) = mod1(0,sF3) )
| $less(0,0)
| $less(X3,sF10)
| ~ $less($uminus(sF4),0)
| $less($uminus(sF4),X3) )
| ~ spl11_2
| ~ spl11_13
| ~ spl11_19
| ~ spl11_47
| spl11_58
| spl11_106 ),
inference(superposition,[],[f5086,f8141]) ).
tff(f12431,plain,
( spl11_194
| spl11_154
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(avatar_split_clause,[],[f11063,f1726,f856,f239,f3454,f4847]) ).
tff(f11063,plain,
( ! [X0: $int] :
( ( 0 = sF3 )
| ( $sum(sF4,$sum(X0,$product(sF3,div1(X0,sF3)))) = X0 )
| $less(X0,0)
| ~ $less($sum(sF4,X0),sF3)
| $less($sum(sF4,X0),0) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(forward_demodulation,[],[f11062,f48]) ).
tff(f11062,plain,
( ! [X0: $int] :
( ( $sum($sum(sF4,X0),$product(sF3,div1(X0,sF3))) = X0 )
| $less(X0,0)
| $less($sum(sF4,X0),0)
| ~ $less($sum(sF4,X0),sF3)
| ( 0 = sF3 ) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(forward_demodulation,[],[f11043,f47]) ).
tff(f11043,plain,
( ! [X0: $int] :
( ( 0 = sF3 )
| ~ $less($sum(sF4,X0),sF3)
| $less(X0,0)
| ( $sum($product(sF3,div1(X0,sF3)),$sum(sF4,X0)) = X0 )
| $less($sum(sF4,X0),0) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f128,f4188]) ).
tff(f12430,plain,
( spl11_254
| spl11_154
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(avatar_split_clause,[],[f12414,f1726,f856,f239,f3454,f7971]) ).
tff(f12414,plain,
( ! [X8: $int] :
( ( 0 = sF3 )
| ~ $less(mod1(X8,sF3),0)
| $less($sum($uminus(sF4),X8),0) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(duplicate_literal_removal,[],[f12410]) ).
tff(f12410,plain,
( ! [X8: $int] :
( ~ $less(mod1(X8,sF3),0)
| $less($sum($uminus(sF4),X8),0)
| $less($sum($uminus(sF4),X8),0)
| ( 0 = sF3 ) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f163,f5086]) ).
tff(f12387,plain,
( ~ spl11_284
| spl11_154
| spl11_206
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(avatar_split_clause,[],[f11350,f3897,f1726,f856,f239,f5128,f3454,f12385]) ).
tff(f12385,plain,
( spl11_284
<=> $less(mod1(sF3,sF3),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_284])]) ).
tff(f5128,plain,
( spl11_206
<=> ! [X3: $int] :
( $less($product(sF3,X3),0)
| $less(X3,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_206])]) ).
tff(f11350,plain,
( ! [X7: $int] :
( $less(X7,0)
| ( 0 = sF3 )
| ~ $less(mod1(sF3,sF3),0)
| $less($product(sF3,X7),0) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(duplicate_literal_removal,[],[f11339]) ).
tff(f11339,plain,
( ! [X7: $int] :
( $less($product(sF3,X7),0)
| $less($product(sF3,X7),0)
| ~ $less(mod1(sF3,sF3),0)
| ( 0 = sF3 )
| $less(X7,0) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(superposition,[],[f163,f11319]) ).
tff(f11319,plain,
( ! [X0: $int] :
( ( mod1(sF3,sF3) = mod1($product(sF3,X0),sF3) )
| $less($product(sF3,X0),0)
| $less(X0,0) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(backward_demodulation,[],[f10904,f11205]) ).
tff(f11205,plain,
( ( mod1(sF3,sF3) = mod1(sF4,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(subsumption_resolution,[],[f11186,f3891]) ).
tff(f11186,plain,
( ( mod1(sF3,sF3) = mod1(sF4,sF3) )
| $less(sF3,0)
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(evaluation,[],[f11168]) ).
tff(f11168,plain,
( $less(sF3,0)
| ( mod1(sF3,sF3) = mod1(sF4,sF3) )
| $less(1,0)
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(superposition,[],[f10901,f60]) ).
tff(f10901,plain,
( ! [X1: $int] :
( ( mod1($product(sF3,X1),sF3) = mod1(sF4,sF3) )
| $less(X1,0)
| $less($product(sF3,X1),0) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(subsumption_resolution,[],[f10900,f3898]) ).
tff(f10900,plain,
( ! [X1: $int] :
( $less($product(sF3,X1),0)
| $less(X1,0)
| ( mod1($product(sF3,X1),sF3) = mod1(sF4,sF3) )
| $less(sF4,0) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(subsumption_resolution,[],[f10888,f857]) ).
tff(f10888,plain,
( ! [X1: $int] :
( ~ $less(0,sF3)
| $less(sF4,0)
| $less($product(sF3,X1),0)
| $less(X1,0)
| ( mod1($product(sF3,X1),sF3) = mod1(sF4,sF3) ) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f4186,f147]) ).
tff(f10904,plain,
( ! [X0: $int] :
( ( mod1($product(sF3,X0),sF3) = mod1(sF4,sF3) )
| $less(X0,0)
| $less($product(sF3,X0),0) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(subsumption_resolution,[],[f10903,f857]) ).
tff(f10903,plain,
( ! [X0: $int] :
( $less($product(sF3,X0),0)
| ( mod1($product(sF3,X0),sF3) = mod1(sF4,sF3) )
| ~ $less(0,sF3)
| $less(X0,0) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(subsumption_resolution,[],[f10890,f3898]) ).
tff(f10890,plain,
( ! [X0: $int] :
( ( mod1($product(sF3,X0),sF3) = mod1(sF4,sF3) )
| $less($product(sF3,X0),0)
| $less(sF4,0)
| ~ $less(0,sF3)
| $less(X0,0) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f147,f4186]) ).
tff(f12383,plain,
( spl11_154
| spl11_192
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(avatar_split_clause,[],[f11045,f1726,f856,f239,f4789,f3454]) ).
tff(f11045,plain,
( ! [X2: $int] :
( $less(0,X2)
| ~ $less(0,$sum(sF4,X2))
| $less($sum(sF4,X2),0)
| ~ $less($sum(sF4,X2),sF3)
| ( 0 = sF3 )
| $less(X2,0) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f159,f4188]) ).
tff(f12382,plain,
( spl11_239
| spl11_189
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_174 ),
inference(avatar_split_clause,[],[f12253,f4212,f982,f264,f191,f4759,f6662]) ).
tff(f6662,plain,
( spl11_239
<=> ! [X11: $int] :
( $less($uminus(sF4),X11)
| $less(X11,sF10)
| ( $uminus(sF4) = X11 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_239])]) ).
tff(f4759,plain,
( spl11_189
<=> ( 0 = $uminus(sF4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_189])]) ).
tff(f12253,plain,
( ! [X1: $int] :
( ( 0 = $uminus(sF4) )
| $less($uminus(sF4),X1)
| ( $uminus(sF4) = X1 )
| $less(X1,sF10) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_174 ),
inference(evaluation,[],[f12240]) ).
tff(f12240,plain,
( ! [X1: $int] :
( ( 0 = $uminus(sF4) )
| $less(X1,sF10)
| $less(0,0)
| $less($uminus(sF4),X1)
| ( $uminus(sF4) = X1 ) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_174 ),
inference(resolution,[],[f4781,f6532]) ).
tff(f6532,plain,
( ! [X0: $int,X1: $int] :
( $less(0,X0)
| ( 0 = X0 )
| ( X0 = X1 )
| $less(X0,X1)
| $less(X1,sF10) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(duplicate_literal_removal,[],[f6516]) ).
tff(f6516,plain,
( ! [X0: $int,X1: $int] :
( ( 0 = X0 )
| ( X0 = X1 )
| $less(X1,sF10)
| ( 0 = X0 )
| $less(0,X0)
| $less(X0,X1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(resolution,[],[f3803,f54]) ).
tff(f3803,plain,
( ! [X10: $int,X9: $int] :
( ~ $less(X9,0)
| ( 0 = X9 )
| $less(X9,X10)
| $less(X10,sF10)
| ( X9 = X10 ) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(resolution,[],[f3793,f54]) ).
tff(f3793,plain,
( ! [X2: $int,X3: $int] :
( ~ $less(X3,X2)
| ~ $less(X2,0)
| ( 0 = X2 )
| $less(X3,sF10) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(subsumption_resolution,[],[f3792,f155]) ).
tff(f3792,plain,
( ! [X2: $int,X3: $int] :
( ( 0 = X2 )
| ~ $less(X2,0)
| $less(abs1(X2),0)
| ~ $less(X3,X2)
| $less(X3,sF10) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f3781,f127]) ).
tff(f12381,plain,
( spl11_236
| spl11_237
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_68 ),
inference(avatar_split_clause,[],[f12217,f1173,f982,f264,f191,f6648,f6645]) ).
tff(f6645,plain,
( spl11_236
<=> ( 0 = $uminus(sF10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_236])]) ).
tff(f6648,plain,
( spl11_237
<=> ! [X5: $int] :
( $less(X5,sF10)
| $less($uminus(sF10),X5)
| ( $uminus(sF10) = X5 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_237])]) ).
tff(f12217,plain,
( ! [X1: $int] :
( $less(X1,sF10)
| $less($uminus(sF10),X1)
| ( $uminus(sF10) = X1 )
| ( 0 = $uminus(sF10) ) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_68 ),
inference(evaluation,[],[f12204]) ).
tff(f12204,plain,
( ! [X1: $int] :
( $less(X1,sF10)
| $less($uminus(sF10),X1)
| $less(0,0)
| ( $uminus(sF10) = X1 )
| ( 0 = $uminus(sF10) ) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_68 ),
inference(resolution,[],[f1272,f6532]) ).
tff(f12380,plain,
( spl11_283
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_64
| spl11_160
| ~ spl11_280 ),
inference(avatar_split_clause,[],[f12301,f12122,f3727,f1158,f982,f264,f191,f12378]) ).
tff(f12301,plain,
( ( mod1(mod1(0,sK1),sK1) = mod1(0,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_64
| spl11_160
| ~ spl11_280 ),
inference(forward_demodulation,[],[f12300,f1159]) ).
tff(f12300,plain,
( ( mod1(mod1(0,sK1),sK1) = mod1(sF10,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_160
| ~ spl11_280 ),
inference(subsumption_resolution,[],[f12265,f3728]) ).
tff(f12265,plain,
( ( mod1(mod1(0,sK1),sK1) = mod1(sF10,sK1) )
| $less(mod1(0,sK1),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_280 ),
inference(superposition,[],[f1116,f12123]) ).
tff(f12376,plain,
( spl11_282
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_160
| ~ spl11_263
| ~ spl11_280 ),
inference(avatar_split_clause,[],[f12299,f12122,f9363,f3727,f982,f264,f191,f12374]) ).
tff(f12299,plain,
( ( sK1 = $sum(sK1,div1(mod1(0,sK1),sK1)) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_160
| ~ spl11_263
| ~ spl11_280 ),
inference(forward_demodulation,[],[f12298,f9364]) ).
tff(f12298,plain,
( ( div1(sF10,sK1) = $sum(sK1,div1(mod1(0,sK1),sK1)) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_160
| ~ spl11_280 ),
inference(subsumption_resolution,[],[f12266,f3728]) ).
tff(f12266,plain,
( $less(mod1(0,sK1),0)
| ( div1(sF10,sK1) = $sum(sK1,div1(mod1(0,sK1),sK1)) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_280 ),
inference(superposition,[],[f1119,f12123]) ).
tff(f12372,plain,
( ~ spl11_281
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74
| spl11_160
| ~ spl11_280 ),
inference(avatar_split_clause,[],[f12292,f12122,f3727,f1276,f982,f264,f191,f12370]) ).
tff(f12292,plain,
( ~ $less(sF10,$sum(sK1,div1(mod1(0,sK1),sK1)))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74
| spl11_160
| ~ spl11_280 ),
inference(subsumption_resolution,[],[f12291,f1277]) ).
tff(f12291,plain,
( $less(sF10,0)
| ~ $less(sF10,$sum(sK1,div1(mod1(0,sK1),sK1)))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_160
| ~ spl11_280 ),
inference(subsumption_resolution,[],[f12267,f3728]) ).
tff(f12267,plain,
( $less(mod1(0,sK1),0)
| $less(sF10,0)
| ~ $less(sF10,$sum(sK1,div1(mod1(0,sK1),sK1)))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_280 ),
inference(superposition,[],[f1153,f12123]) ).
tff(f12352,plain,
( spl11_191
| spl11_154
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(avatar_split_clause,[],[f11047,f1726,f856,f239,f3454,f4785]) ).
tff(f11047,plain,
( ! [X4: $int] :
( ( 0 = sF3 )
| ~ $less($sum(sF4,X4),sF3)
| $less($uminus(abs1(sF3)),$sum(sF4,X4))
| $less($sum(sF4,X4),0)
| $less(X4,0) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f161,f4188]) ).
tff(f12260,plain,
( spl11_260
| spl11_259
| ~ spl11_2
| ~ spl11_13
| ~ spl11_19
| ~ spl11_47
| spl11_58
| spl11_106
| ~ spl11_174 ),
inference(avatar_split_clause,[],[f12165,f4212,f1726,f982,f856,f264,f239,f191,f8938,f8941]) ).
tff(f12165,plain,
( ! [X5: $int] :
( $less($uminus(sF4),X5)
| ( mod1(1,sF3) = mod1(0,sF3) )
| $less(X5,sF10) )
| ~ spl11_2
| ~ spl11_13
| ~ spl11_19
| ~ spl11_47
| spl11_58
| spl11_106
| ~ spl11_174 ),
inference(subsumption_resolution,[],[f12152,f4213]) ).
tff(f12152,plain,
( ! [X5: $int] :
( ( mod1(1,sF3) = mod1(0,sF3) )
| $less($uminus(sF4),X5)
| $less(X5,sF10)
| ~ $less($uminus(sF4),0) )
| ~ spl11_2
| ~ spl11_13
| ~ spl11_19
| ~ spl11_47
| spl11_58
| spl11_106 ),
inference(evaluation,[],[f12134]) ).
tff(f12134,plain,
( ! [X5: $int] :
( $less(0,0)
| ~ $less($uminus(sF4),0)
| ( mod1(1,sF3) = mod1(0,sF3) )
| $less(X5,sF10)
| $less($uminus(sF4),X5) )
| ~ spl11_2
| ~ spl11_13
| ~ spl11_19
| ~ spl11_47
| spl11_58
| spl11_106 ),
inference(superposition,[],[f4414,f8189]) ).
tff(f12237,plain,
( spl11_207
| spl11_154
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(avatar_split_clause,[],[f12160,f1726,f856,f239,f3454,f5134]) ).
tff(f12160,plain,
( ! [X8: $int] :
( ( 0 = sF3 )
| $less($sum(X8,$uminus(sF4)),0)
| ~ $less(mod1(X8,sF3),0) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(duplicate_literal_removal,[],[f12149]) ).
tff(f12149,plain,
( ! [X8: $int] :
( $less($sum(X8,$uminus(sF4)),0)
| ( 0 = sF3 )
| ~ $less(mod1(X8,sF3),0)
| $less($sum(X8,$uminus(sF4)),0) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f163,f4414]) ).
tff(f12125,plain,
( spl11_239
| spl11_189
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_174 ),
inference(avatar_split_clause,[],[f10913,f4212,f982,f264,f191,f4759,f6662]) ).
tff(f10913,plain,
( ! [X1: $int] :
( ( 0 = $uminus(sF4) )
| $less($uminus(sF4),X1)
| ( $uminus(sF4) = X1 )
| $less(X1,sF10) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_174 ),
inference(resolution,[],[f4213,f3803]) ).
tff(f12124,plain,
( spl11_53
| spl11_280
| ~ spl11_19
| ~ spl11_64
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f12120,f9363,f1158,f264,f12122,f951]) ).
tff(f12120,plain,
( ( sF10 = $sum(sF10,mod1(0,sK1)) )
| ( 0 = sK1 )
| ~ spl11_19
| ~ spl11_64
| ~ spl11_263 ),
inference(forward_demodulation,[],[f12119,f265]) ).
tff(f12119,plain,
( ( sF10 = $sum($product(sK1,sK1),mod1(0,sK1)) )
| ( 0 = sK1 )
| ~ spl11_64
| ~ spl11_263 ),
inference(forward_demodulation,[],[f12112,f9364]) ).
tff(f12112,plain,
( ( 0 = sK1 )
| ( sF10 = $sum($product(sK1,div1(sF10,sK1)),mod1(0,sK1)) )
| ~ spl11_64 ),
inference(superposition,[],[f128,f1159]) ).
tff(f11964,plain,
( spl11_182
| spl11_206
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(avatar_split_clause,[],[f11343,f3897,f1726,f856,f239,f5128,f4626]) ).
tff(f11343,plain,
( ! [X0: $int] :
( $less(X0,0)
| $less($product(sF3,X0),0)
| ( mod1(sF3,sF3) = mod1(0,sF3) ) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(duplicate_literal_removal,[],[f11331]) ).
tff(f11331,plain,
( ! [X0: $int] :
( $less(X0,0)
| ( mod1(sF3,sF3) = mod1(0,sF3) )
| $less(X0,0)
| $less($product(sF3,X0),0)
| $less($product(sF3,X0),0) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(superposition,[],[f4582,f11319]) ).
tff(f11963,plain,
( spl11_182
| spl11_206
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(avatar_split_clause,[],[f11341,f3897,f1726,f856,f239,f5128,f4626]) ).
tff(f11341,plain,
( ! [X1: $int] :
( $less(X1,0)
| ( mod1(sF3,sF3) = mod1(0,sF3) )
| $less($product(sF3,X1),0) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(duplicate_literal_removal,[],[f11327]) ).
tff(f11327,plain,
( ! [X1: $int] :
( $less(X1,0)
| $less(X1,0)
| $less($product(sF3,X1),0)
| ( mod1(sF3,sF3) = mod1(0,sF3) )
| $less($product(sF3,X1),0) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(superposition,[],[f11319,f4582]) ).
tff(f11950,plain,
( spl11_172
| spl11_206
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(avatar_split_clause,[],[f11250,f3897,f1726,f856,f239,f5128,f4205]) ).
tff(f11250,plain,
( ! [X1: $int] :
( $less(X1,0)
| ( mod1(sF4,sF3) = mod1(0,sF3) )
| $less($product(sF3,X1),0) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(duplicate_literal_removal,[],[f11229]) ).
tff(f11229,plain,
( ! [X1: $int] :
( $less($product(sF3,X1),0)
| $less($product(sF3,X1),0)
| $less(X1,0)
| $less(X1,0)
| ( mod1(sF4,sF3) = mod1(0,sF3) ) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(superposition,[],[f10904,f4582]) ).
tff(f11949,plain,
( spl11_172
| spl11_206
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(avatar_split_clause,[],[f11246,f3897,f1726,f856,f239,f5128,f4205]) ).
tff(f11246,plain,
( ! [X0: $int] :
( $less($product(sF3,X0),0)
| $less(X0,0)
| ( mod1(sF4,sF3) = mod1(0,sF3) ) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(duplicate_literal_removal,[],[f11233]) ).
tff(f11233,plain,
( ! [X0: $int] :
( $less(X0,0)
| $less(X0,0)
| $less($product(sF3,X0),0)
| $less($product(sF3,X0),0)
| ( mod1(sF4,sF3) = mod1(0,sF3) ) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(superposition,[],[f4582,f10904]) ).
tff(f11934,plain,
( spl11_154
| spl11_181
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(avatar_split_clause,[],[f10902,f1726,f856,f239,f4622,f3454]) ).
tff(f10902,plain,
( ! [X1: $int] :
( ( $sum(X1,sF4) = $sum(mod1(X1,sF3),$product(sF3,div1($sum(X1,sF4),sF3))) )
| ( 0 = sF3 )
| $less(X1,0) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(forward_demodulation,[],[f10891,f47]) ).
tff(f10891,plain,
( ! [X1: $int] :
( ( $sum(X1,sF4) = $sum($product(sF3,div1($sum(X1,sF4),sF3)),mod1(X1,sF3)) )
| ( 0 = sF3 )
| $less(X1,0) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f128,f4186]) ).
tff(f11924,plain,
( spl11_172
| spl11_206
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(avatar_split_clause,[],[f11193,f3897,f1726,f856,f239,f5128,f4205]) ).
tff(f11193,plain,
( ! [X1: $int] :
( $less($product(sF3,X1),0)
| ( mod1(sF4,sF3) = mod1(0,sF3) )
| $less(X1,0) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(duplicate_literal_removal,[],[f11172]) ).
tff(f11172,plain,
( ! [X1: $int] :
( $less(X1,0)
| $less($product(sF3,X1),0)
| $less($product(sF3,X1),0)
| ( mod1(sF4,sF3) = mod1(0,sF3) )
| $less(X1,0) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(superposition,[],[f10901,f4582]) ).
tff(f11883,plain,
( spl11_206
| spl11_172
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(avatar_split_clause,[],[f11187,f3897,f1726,f856,f239,f4205,f5128]) ).
tff(f11187,plain,
( ! [X0: $int] :
( ( mod1(sF4,sF3) = mod1(0,sF3) )
| $less(X0,0)
| $less($product(sF3,X0),0) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(duplicate_literal_removal,[],[f11176]) ).
tff(f11176,plain,
( ! [X0: $int] :
( $less($product(sF3,X0),0)
| $less(X0,0)
| $less($product(sF3,X0),0)
| $less(X0,0)
| ( mod1(sF4,sF3) = mod1(0,sF3) ) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(superposition,[],[f4582,f10901]) ).
tff(f11522,plain,
( spl11_259
| spl11_274
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_174 ),
inference(avatar_split_clause,[],[f10915,f4212,f982,f264,f191,f9916,f8938]) ).
tff(f9916,plain,
( spl11_274
<=> ! [X20: $int] :
( $less(X20,0)
| $less($uminus(sF4),X20) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_274])]) ).
tff(f10915,plain,
( ! [X2: $int,X3: $int] :
( $less(X2,0)
| $less($uminus(sF4),X2)
| $less($uminus(sF4),X3)
| $less(X3,sF10) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_174 ),
inference(resolution,[],[f4213,f8195]) ).
tff(f11505,plain,
( spl11_202
| spl11_201
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_174 ),
inference(avatar_split_clause,[],[f11003,f4212,f982,f264,f191,f4961,f4964]) ).
tff(f4964,plain,
( spl11_202
<=> ( 0 = $uminus(abs1(abs1($uminus(sF4)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_202])]) ).
tff(f11003,plain,
( $less($uminus(abs1(abs1($uminus(sF4)))),sF10)
| ( 0 = $uminus(abs1(abs1($uminus(sF4)))) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_174 ),
inference(resolution,[],[f4807,f322]) ).
tff(f11448,plain,
( ~ spl11_279
| ~ spl11_89 ),
inference(avatar_split_clause,[],[f11222,f1443,f11446]) ).
tff(f11446,plain,
( spl11_279
<=> $less($sum(1,sF10),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_279])]) ).
tff(f11222,plain,
( ~ $less($sum(1,sF10),0)
| ~ spl11_89 ),
inference(forward_demodulation,[],[f11212,f47]) ).
tff(f11212,plain,
( ~ $less($sum(sF10,1),0)
| ~ spl11_89 ),
inference(resolution,[],[f326,f1444]) ).
tff(f11374,plain,
( spl11_182
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(avatar_split_clause,[],[f11360,f3897,f1726,f856,f239,f4626]) ).
tff(f11360,plain,
( ( mod1(sF3,sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(subsumption_resolution,[],[f11359,f3898]) ).
tff(f11359,plain,
( $less(sF4,0)
| ( mod1(sF3,sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(forward_demodulation,[],[f11358,f240]) ).
tff(f11358,plain,
( ( mod1(sF3,sF3) = mod1(0,sF3) )
| $less($product(sF3,sF3),0)
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(subsumption_resolution,[],[f11342,f3891]) ).
tff(f11342,plain,
( $less($product(sF3,sF3),0)
| $less(sF3,0)
| ( mod1(sF3,sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(duplicate_literal_removal,[],[f11332]) ).
tff(f11332,plain,
( $less(sF3,0)
| $less(sF3,0)
| $less($product(sF3,sF3),0)
| ( mod1(sF3,sF3) = mod1(0,sF3) )
| $less($product(sF3,sF3),0)
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(superposition,[],[f4586,f11319]) ).
tff(f4586,plain,
( ! [X0: $int] :
( ( mod1($product(X0,sF3),sF3) = mod1(0,sF3) )
| $less(X0,0)
| $less($product(X0,sF3),0) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(superposition,[],[f4582,f58]) ).
tff(f11373,plain,
( spl11_182
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(avatar_split_clause,[],[f11354,f3897,f1726,f856,f239,f4626]) ).
tff(f11354,plain,
( ( mod1(sF3,sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(subsumption_resolution,[],[f11353,f3898]) ).
tff(f11353,plain,
( $less(sF4,0)
| ( mod1(sF3,sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(forward_demodulation,[],[f11352,f240]) ).
tff(f11352,plain,
( $less($product(sF3,sF3),0)
| ( mod1(sF3,sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(subsumption_resolution,[],[f11351,f3891]) ).
tff(f11351,plain,
( ( mod1(sF3,sF3) = mod1(0,sF3) )
| $less($product(sF3,sF3),0)
| $less(sF3,0)
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(duplicate_literal_removal,[],[f11328]) ).
tff(f11328,plain,
( $less($product(sF3,sF3),0)
| $less($product(sF3,sF3),0)
| ( mod1(sF3,sF3) = mod1(0,sF3) )
| $less(sF3,0)
| $less(sF3,0)
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(superposition,[],[f11319,f4586]) ).
tff(f11372,plain,
( spl11_172
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(avatar_split_clause,[],[f11261,f3897,f1726,f856,f239,f4205]) ).
tff(f11261,plain,
( ( mod1(sF4,sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(subsumption_resolution,[],[f11260,f3898]) ).
tff(f11260,plain,
( $less(sF4,0)
| ( mod1(sF4,sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(forward_demodulation,[],[f11259,f240]) ).
tff(f11259,plain,
( $less($product(sF3,sF3),0)
| ( mod1(sF4,sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(subsumption_resolution,[],[f11248,f3891]) ).
tff(f11248,plain,
( $less($product(sF3,sF3),0)
| ( mod1(sF4,sF3) = mod1(0,sF3) )
| $less(sF3,0)
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(duplicate_literal_removal,[],[f11230]) ).
tff(f11230,plain,
( $less($product(sF3,sF3),0)
| $less(sF3,0)
| $less($product(sF3,sF3),0)
| ( mod1(sF4,sF3) = mod1(0,sF3) )
| $less(sF3,0)
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(superposition,[],[f10904,f4586]) ).
tff(f11371,plain,
( spl11_172
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(avatar_split_clause,[],[f11257,f3897,f1726,f856,f239,f4205]) ).
tff(f11257,plain,
( ( mod1(sF4,sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(subsumption_resolution,[],[f11256,f3898]) ).
tff(f11256,plain,
( ( mod1(sF4,sF3) = mod1(0,sF3) )
| $less(sF4,0)
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(forward_demodulation,[],[f11255,f240]) ).
tff(f11255,plain,
( ( mod1(sF4,sF3) = mod1(0,sF3) )
| $less($product(sF3,sF3),0)
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(subsumption_resolution,[],[f11252,f3891]) ).
tff(f11252,plain,
( ( mod1(sF4,sF3) = mod1(0,sF3) )
| $less($product(sF3,sF3),0)
| $less(sF3,0)
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(duplicate_literal_removal,[],[f11234]) ).
tff(f11234,plain,
( $less($product(sF3,sF3),0)
| $less(sF3,0)
| $less($product(sF3,sF3),0)
| $less(sF3,0)
| ( mod1(sF4,sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(superposition,[],[f4586,f10904]) ).
tff(f11366,plain,
( spl11_172
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(avatar_split_clause,[],[f11204,f3897,f1726,f856,f239,f4205]) ).
tff(f11204,plain,
( ( mod1(sF4,sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(subsumption_resolution,[],[f11203,f3898]) ).
tff(f11203,plain,
( ( mod1(sF4,sF3) = mod1(0,sF3) )
| $less(sF4,0)
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(forward_demodulation,[],[f11202,f240]) ).
tff(f11202,plain,
( $less($product(sF3,sF3),0)
| ( mod1(sF4,sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(subsumption_resolution,[],[f11189,f3891]) ).
tff(f11189,plain,
( ( mod1(sF4,sF3) = mod1(0,sF3) )
| $less(sF3,0)
| $less($product(sF3,sF3),0)
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(duplicate_literal_removal,[],[f11177]) ).
tff(f11177,plain,
( $less($product(sF3,sF3),0)
| $less(sF3,0)
| ( mod1(sF4,sF3) = mod1(0,sF3) )
| $less($product(sF3,sF3),0)
| $less(sF3,0)
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(superposition,[],[f4586,f10901]) ).
tff(f11365,plain,
( spl11_172
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(avatar_split_clause,[],[f11201,f3897,f1726,f856,f239,f4205]) ).
tff(f11201,plain,
( ( mod1(sF4,sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(subsumption_resolution,[],[f11200,f3898]) ).
tff(f11200,plain,
( $less(sF4,0)
| ( mod1(sF4,sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(forward_demodulation,[],[f11199,f240]) ).
tff(f11199,plain,
( $less($product(sF3,sF3),0)
| ( mod1(sF4,sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(subsumption_resolution,[],[f11194,f3891]) ).
tff(f11194,plain,
( ( mod1(sF4,sF3) = mod1(0,sF3) )
| $less(sF3,0)
| $less($product(sF3,sF3),0)
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(duplicate_literal_removal,[],[f11173]) ).
tff(f11173,plain,
( $less(sF3,0)
| $less(sF3,0)
| $less($product(sF3,sF3),0)
| $less($product(sF3,sF3),0)
| ( mod1(sF4,sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(superposition,[],[f10901,f4586]) ).
tff(f11364,plain,
( spl11_180
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(avatar_split_clause,[],[f11356,f3897,f1726,f856,f239,f4618]) ).
tff(f11356,plain,
( ( mod1(sF3,sF3) = mod1(sF4,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(subsumption_resolution,[],[f11355,f3898]) ).
tff(f11355,plain,
( ( mod1(sF3,sF3) = mod1(sF4,sF3) )
| $less(sF4,0)
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(subsumption_resolution,[],[f11323,f3891]) ).
tff(f11323,plain,
( $less(sF3,0)
| $less(sF4,0)
| ( mod1(sF3,sF3) = mod1(sF4,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(superposition,[],[f11319,f240]) ).
tff(f11363,plain,
( spl11_182
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(avatar_split_clause,[],[f11349,f3897,f1726,f856,f239,f4626]) ).
tff(f11349,plain,
( ( mod1(sF3,sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(evaluation,[],[f11348]) ).
tff(f11348,plain,
( ( mod1(sF3,sF3) = mod1(0,sF3) )
| $less(0,0)
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(duplicate_literal_removal,[],[f11324]) ).
tff(f11324,plain,
( $less(0,0)
| $less(0,0)
| ( mod1(sF3,sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(superposition,[],[f11319,f61]) ).
tff(f11361,plain,
( spl11_193
| ~ spl11_164
| ~ spl11_222 ),
inference(avatar_split_clause,[],[f11083,f6104,f3764,f4793]) ).
tff(f11083,plain,
( $less($uminus(sF4),sF10)
| ~ spl11_164
| ~ spl11_222 ),
inference(resolution,[],[f6105,f3950]) ).
tff(f11322,plain,
( spl11_180
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(avatar_split_clause,[],[f11262,f3897,f1726,f856,f239,f4618]) ).
tff(f11262,plain,
( ( mod1(sF3,sF3) = mod1(sF4,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(subsumption_resolution,[],[f11245,f3891]) ).
tff(f11245,plain,
( $less(sF3,0)
| ( mod1(sF3,sF3) = mod1(sF4,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(evaluation,[],[f11225]) ).
tff(f11225,plain,
( ( mod1(sF3,sF3) = mod1(sF4,sF3) )
| $less(1,0)
| $less(sF3,0)
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(superposition,[],[f10904,f60]) ).
tff(f11321,plain,
( spl11_172
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(avatar_split_clause,[],[f11244,f3897,f1726,f856,f239,f4205]) ).
tff(f11244,plain,
( ( mod1(sF4,sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(evaluation,[],[f11243]) ).
tff(f11243,plain,
( $less(0,0)
| ( mod1(sF4,sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(duplicate_literal_removal,[],[f11226]) ).
tff(f11226,plain,
( ( mod1(sF4,sF3) = mod1(0,sF3) )
| $less(0,0)
| $less(0,0)
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(superposition,[],[f10904,f61]) ).
tff(f11320,plain,
( spl11_180
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(avatar_split_clause,[],[f11205,f3897,f1726,f856,f239,f4618]) ).
tff(f11318,plain,
spl11_278,
inference(avatar_split_clause,[],[f429,f11316]) ).
tff(f429,plain,
$less($uminus(abs1(1)),0),
inference(evaluation,[],[f428]) ).
tff(f428,plain,
( $less($uminus(abs1(1)),0)
| ( 0 = 1 ) ),
inference(superposition,[],[f161,f152]) ).
tff(f152,plain,
! [X0: $int] : ( 0 = mod1(X0,1) ),
inference(cnf_transformation,[],[f67]) ).
tff(f67,plain,
! [X0: $int] : ( 0 = mod1(X0,1) ),
inference(rectify,[],[f21]) ).
tff(f21,axiom,
! [X1: $int] : ( 0 = mod1(X1,1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mod_1) ).
tff(f11224,plain,
( spl11_172
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(avatar_split_clause,[],[f11197,f3897,f1726,f856,f239,f4205]) ).
tff(f11197,plain,
( ( mod1(sF4,sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(evaluation,[],[f11196]) ).
tff(f11196,plain,
( $less(0,0)
| ( mod1(sF4,sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(duplicate_literal_removal,[],[f11169]) ).
tff(f11169,plain,
( ( mod1(sF4,sF3) = mod1(0,sF3) )
| $less(0,0)
| $less(0,0)
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(superposition,[],[f10901,f61]) ).
tff(f11167,plain,
( spl11_193
| ~ spl11_10
| ~ spl11_199 ),
inference(avatar_split_clause,[],[f10942,f4919,f224,f4793]) ).
tff(f10942,plain,
( $less($uminus(sF4),sF10)
| ~ spl11_10
| ~ spl11_199 ),
inference(resolution,[],[f4920,f362]) ).
tff(f11134,plain,
( spl11_154
| spl11_178
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(avatar_split_clause,[],[f10893,f1726,f856,f239,f4354,f3454]) ).
tff(f10893,plain,
( ! [X3: $int] :
( $less(X3,0)
| ~ $less(0,mod1(X3,sF3))
| $less(0,$sum(X3,sF4))
| ( 0 = sF3 ) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f159,f4186]) ).
tff(f11133,plain,
( spl11_193
| ~ spl11_56
| ~ spl11_195 ),
inference(avatar_split_clause,[],[f10926,f4876,f973,f4793]) ).
tff(f10926,plain,
( $less($uminus(sF4),sF10)
| ~ spl11_56
| ~ spl11_195 ),
inference(resolution,[],[f4877,f2385]) ).
tff(f11119,plain,
( spl11_154
| spl11_177
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(avatar_split_clause,[],[f10870,f1726,f856,f239,f4307,f3454]) ).
tff(f10870,plain,
( ! [X0: $int] :
( $less(X0,0)
| ( $sum(mod1(X0,sF3),$product(sF3,div1($sum(sF4,X0),sF3))) = $sum(sF4,X0) )
| ( 0 = sF3 ) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(forward_demodulation,[],[f10861,f47]) ).
tff(f10861,plain,
( ! [X0: $int] :
( $less(X0,0)
| ( $sum($product(sF3,div1($sum(sF4,X0),sF3)),mod1(X0,sF3)) = $sum(sF4,X0) )
| ( 0 = sF3 ) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f128,f4180]) ).
tff(f11089,plain,
( spl11_189
| spl11_193
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_203 ),
inference(avatar_split_clause,[],[f11067,f5008,f982,f264,f191,f4793,f4759]) ).
tff(f11067,plain,
( $less($uminus(sF4),sF10)
| ( 0 = $uminus(sF4) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_203 ),
inference(resolution,[],[f5009,f4427]) ).
tff(f11081,plain,
( spl11_193
| spl11_169
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_203 ),
inference(avatar_split_clause,[],[f11068,f5008,f982,f264,f191,f3894,f4793]) ).
tff(f3894,plain,
( spl11_169
<=> ( 0 = sF4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_169])]) ).
tff(f11068,plain,
( ( 0 = sF4 )
| $less($uminus(sF4),sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_203 ),
inference(resolution,[],[f5009,f3902]) ).
tff(f11025,plain,
( spl11_197
| spl11_198
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_174 ),
inference(avatar_split_clause,[],[f10999,f4212,f982,f264,f191,f4913,f4910]) ).
tff(f4910,plain,
( spl11_197
<=> $less($uminus(abs1($uminus(sF4))),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_197])]) ).
tff(f4913,plain,
( spl11_198
<=> ( 0 = $uminus(abs1($uminus(sF4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_198])]) ).
tff(f10999,plain,
( ( 0 = $uminus(abs1($uminus(sF4))) )
| $less($uminus(abs1($uminus(sF4))),sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_174 ),
inference(resolution,[],[f4807,f52]) ).
tff(f11017,plain,
( spl11_154
| spl11_175
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(avatar_split_clause,[],[f10863,f1726,f856,f239,f4258,f3454]) ).
tff(f10863,plain,
( ! [X2: $int] :
( $less(0,$sum(sF4,X2))
| ( 0 = sF3 )
| ~ $less(0,mod1(X2,sF3))
| $less(X2,0) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f159,f4180]) ).
tff(f10991,plain,
( spl11_105
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(avatar_split_clause,[],[f10962,f1726,f856,f239,f1723]) ).
tff(f1723,plain,
( spl11_105
<=> ! [X15: $int] :
( $less(X15,0)
| ( div1($sum(sF4,X15),sF3) = $sum(sF3,div1(X15,sF3)) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_105])]) ).
tff(f10962,plain,
( ! [X6: $int] :
( ( div1($sum(sF4,X6),sF3) = $sum(sF3,div1(X6,sF3)) )
| $less(X6,0) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(subsumption_resolution,[],[f10961,f3891]) ).
tff(f10961,plain,
( ! [X6: $int] :
( ( div1($sum(sF4,X6),sF3) = $sum(sF3,div1(X6,sF3)) )
| $less(X6,0)
| $less(sF3,0) )
| ~ spl11_13
| ~ spl11_47 ),
inference(subsumption_resolution,[],[f10954,f857]) ).
tff(f10954,plain,
( ! [X6: $int] :
( $less(X6,0)
| ~ $less(0,sF3)
| $less(sF3,0)
| ( div1($sum(sF4,X6),sF3) = $sum(sF3,div1(X6,sF3)) ) )
| ~ spl11_13 ),
inference(superposition,[],[f151,f240]) ).
tff(f10990,plain,
( spl11_172
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(avatar_split_clause,[],[f10964,f3897,f1726,f856,f239,f4205]) ).
tff(f10964,plain,
( ( mod1(sF4,sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(subsumption_resolution,[],[f10963,f3898]) ).
tff(f10963,plain,
( ( mod1(sF4,sF3) = mod1(0,sF3) )
| $less(sF4,0)
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(subsumption_resolution,[],[f10948,f3891]) ).
tff(f10948,plain,
( $less(sF3,0)
| $less(sF4,0)
| ( mod1(sF4,sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(superposition,[],[f4586,f240]) ).
tff(f10967,plain,
( spl11_172
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(avatar_split_clause,[],[f10960,f3897,f1726,f856,f239,f4205]) ).
tff(f10960,plain,
( ( mod1(sF4,sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(subsumption_resolution,[],[f10959,f3891]) ).
tff(f10959,plain,
( ( mod1(sF4,sF3) = mod1(0,sF3) )
| $less(sF3,0)
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(subsumption_resolution,[],[f10947,f3898]) ).
tff(f10947,plain,
( ( mod1(sF4,sF3) = mod1(0,sF3) )
| $less(sF4,0)
| $less(sF3,0)
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(superposition,[],[f4582,f240]) ).
tff(f10932,plain,
( spl11_172
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(avatar_split_clause,[],[f10899,f1726,f856,f239,f4205]) ).
tff(f10899,plain,
( ( mod1(sF4,sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(evaluation,[],[f10884]) ).
tff(f10884,plain,
( ( mod1(sF4,sF3) = mod1(0,sF3) )
| $less(0,0)
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f4186,f274]) ).
tff(f10921,plain,
( spl11_193
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_174 ),
inference(avatar_split_clause,[],[f10911,f4212,f982,f264,f191,f4793]) ).
tff(f10911,plain,
( $less($uminus(sF4),sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_174 ),
inference(resolution,[],[f4213,f1404]) ).
tff(f10871,plain,
( spl11_172
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(avatar_split_clause,[],[f10869,f1726,f856,f239,f4205]) ).
tff(f10869,plain,
( ( mod1(sF4,sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(evaluation,[],[f10857]) ).
tff(f10857,plain,
( $less(0,0)
| ( mod1(sF4,sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f4180,f49]) ).
tff(f10797,plain,
( spl11_193
| spl11_189
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_174 ),
inference(avatar_split_clause,[],[f10694,f4212,f982,f264,f191,f4759,f4793]) ).
tff(f10694,plain,
( ( 0 = $uminus(sF4) )
| $less($uminus(sF4),sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_174 ),
inference(resolution,[],[f4775,f52]) ).
tff(f10688,plain,
( spl11_55
| ~ spl11_7
| ~ spl11_276 ),
inference(avatar_split_clause,[],[f10587,f10454,f211,f970]) ).
tff(f10454,plain,
( spl11_276
<=> ( sF4 = sF3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_276])]) ).
tff(f10587,plain,
( $less(sK0,sF3)
| ~ spl11_7
| ~ spl11_276 ),
inference(backward_demodulation,[],[f212,f10455]) ).
tff(f10455,plain,
( ( sF4 = sF3 )
| ~ spl11_276 ),
inference(avatar_component_clause,[],[f10454]) ).
tff(f10459,plain,
( spl11_276
| spl11_277
| spl11_185 ),
inference(avatar_split_clause,[],[f4770,f4696,f10457,f10454]) ).
tff(f4696,plain,
( spl11_185
<=> $less(sF4,sF3) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_185])]) ).
tff(f4770,plain,
( $less(sF3,sF4)
| ( sF4 = sF3 )
| spl11_185 ),
inference(resolution,[],[f4697,f54]) ).
tff(f4697,plain,
( ~ $less(sF4,sF3)
| spl11_185 ),
inference(avatar_component_clause,[],[f4696]) ).
tff(f10439,plain,
( spl11_265
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(avatar_split_clause,[],[f10413,f1276,f982,f264,f191,f9569]) ).
tff(f10413,plain,
( ( sK1 = $sum(sK1,div1(0,sK1)) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(forward_demodulation,[],[f10346,f274]) ).
tff(f10346,plain,
( ( $sum(0,sK1) = $sum(sK1,div1(0,sK1)) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(evaluation,[],[f10345]) ).
tff(f10345,plain,
( $less(0,0)
| ( $sum(0,sK1) = $sum(sK1,div1(0,sK1)) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(duplicate_literal_removal,[],[f10302]) ).
tff(f10302,plain,
( ( $sum(0,sK1) = $sum(sK1,div1(0,sK1)) )
| $less(0,0)
| $less(0,0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(superposition,[],[f9446,f313]) ).
tff(f313,plain,
! [X1: $int] : ( 0 = $product(0,X1) ),
inference(superposition,[],[f58,f61]) ).
tff(f9446,plain,
( ! [X2: $int] :
( ( $sum(sK1,div1($product(X2,sK1),sK1)) = $sum(X2,sK1) )
| $less($product(X2,sK1),0)
| $less(X2,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(superposition,[],[f9361,f58]) ).
tff(f10438,plain,
( spl11_266
| ~ spl11_2
| ~ spl11_19
| ~ spl11_20
| spl11_58
| spl11_74 ),
inference(avatar_split_clause,[],[f10389,f1276,f982,f301,f264,f191,f9573]) ).
tff(f10389,plain,
( ( $sum(sK1,div1(sK1,sK1)) = sF5 )
| ~ spl11_2
| ~ spl11_19
| ~ spl11_20
| spl11_58
| spl11_74 ),
inference(forward_demodulation,[],[f10388,f302]) ).
tff(f10388,plain,
( ( $sum(sK1,div1(sK1,sK1)) = $sum(1,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(subsumption_resolution,[],[f10368,f983]) ).
tff(f10368,plain,
( $less(sK1,0)
| ( $sum(sK1,div1(sK1,sK1)) = $sum(1,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(evaluation,[],[f10304]) ).
tff(f10304,plain,
( $less(1,0)
| $less(sK1,0)
| ( $sum(sK1,div1(sK1,sK1)) = $sum(1,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(superposition,[],[f9446,f312]) ).
tff(f10155,plain,
( ~ spl11_208
| spl11_154
| spl11_275
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(avatar_split_clause,[],[f9278,f1726,f856,f239,f10153,f3454,f5138]) ).
tff(f5138,plain,
( spl11_208
<=> $less(mod1(0,sF3),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_208])]) ).
tff(f10153,plain,
( spl11_275
<=> ! [X8: $int] : $less($sum(X8,$uminus($sum(X8,sF4))),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_275])]) ).
tff(f9278,plain,
( ! [X8: $int] :
( $less($sum(X8,$uminus($sum(X8,sF4))),0)
| ( 0 = sF3 )
| ~ $less(mod1(0,sF3),0) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(duplicate_literal_removal,[],[f9270]) ).
tff(f9270,plain,
( ! [X8: $int] :
( ~ $less(mod1(0,sF3),0)
| $less($sum(X8,$uminus($sum(X8,sF4))),0)
| ( 0 = sF3 )
| $less($sum(X8,$uminus($sum(X8,sF4))),0) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f163,f4396]) ).
tff(f4396,plain,
( ! [X5: $int] :
( ( mod1($sum(X5,$uminus($sum(X5,sF4))),sF3) = mod1(0,sF3) )
| $less($sum(X5,$uminus($sum(X5,sF4))),0) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(forward_demodulation,[],[f4395,f47]) ).
tff(f4395,plain,
( ! [X5: $int] :
( $less($sum($uminus($sum(X5,sF4)),X5),0)
| ( mod1($sum(X5,$uminus($sum(X5,sF4))),sF3) = mod1(0,sF3) ) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(forward_demodulation,[],[f4376,f47]) ).
tff(f4376,plain,
( ! [X5: $int] :
( ( mod1($sum($uminus($sum(X5,sF4)),X5),sF3) = mod1(0,sF3) )
| $less($sum($uminus($sum(X5,sF4)),X5),0) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f4219,f267]) ).
tff(f9918,plain,
( spl11_274
| spl11_259
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_174 ),
inference(avatar_split_clause,[],[f9893,f4212,f982,f264,f191,f8938,f9916]) ).
tff(f9893,plain,
( ! [X21: $int,X20: $int] :
( $less($uminus(sF4),X21)
| $less(X21,sF10)
| $less(X20,0)
| $less($uminus(sF4),X20) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_174 ),
inference(resolution,[],[f8195,f4213]) ).
tff(f9914,plain,
( spl11_273
| spl11_261
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_68 ),
inference(avatar_split_clause,[],[f9890,f1173,f982,f264,f191,f8945,f9912]) ).
tff(f9912,plain,
( spl11_273
<=> ! [X11: $int] :
( $less($uminus(sF10),X11)
| $less(X11,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_273])]) ).
tff(f9890,plain,
( ! [X11: $int,X12: $int] :
( $less(X12,sF10)
| $less($uminus(sF10),X11)
| $less(X11,0)
| $less($uminus(sF10),X12) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_68 ),
inference(resolution,[],[f8195,f1174]) ).
tff(f9885,plain,
( spl11_271
| ~ spl11_8
| ~ spl11_269 ),
inference(avatar_split_clause,[],[f9870,f9683,f215,f9877]) ).
tff(f9870,plain,
( $less(1,sF6)
| ~ spl11_8
| ~ spl11_269 ),
inference(resolution,[],[f9684,f361]) ).
tff(f9884,plain,
( spl11_272
| ~ spl11_7
| ~ spl11_269 ),
inference(avatar_split_clause,[],[f9869,f9683,f211,f9881]) ).
tff(f9869,plain,
( $less(1,sF4)
| ~ spl11_7
| ~ spl11_269 ),
inference(resolution,[],[f9684,f360]) ).
tff(f9883,plain,
( spl11_272
| ~ spl11_88
| ~ spl11_126 ),
inference(avatar_split_clause,[],[f9640,f2440,f1440,f9881]) ).
tff(f9640,plain,
( $less(1,sF4)
| ~ spl11_88
| ~ spl11_126 ),
inference(resolution,[],[f9632,f2487]) ).
tff(f9879,plain,
( spl11_271
| ~ spl11_88
| ~ spl11_125 ),
inference(avatar_split_clause,[],[f9639,f2375,f1440,f9877]) ).
tff(f9639,plain,
( $less(1,sF6)
| ~ spl11_88
| ~ spl11_125 ),
inference(resolution,[],[f9632,f2483]) ).
tff(f9875,plain,
( spl11_167
| spl11_225
| spl11_228
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f9418,f9363,f1276,f982,f264,f191,f6208,f6196,f3884]) ).
tff(f6208,plain,
( spl11_228
<=> ( 0 = $sum(sK1,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_228])]) ).
tff(f9418,plain,
( ( 0 = $sum(sK1,sK1) )
| $less(0,$sum(sK1,sK1))
| $less($sum(sF10,sF10),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74
| ~ spl11_263 ),
inference(subsumption_resolution,[],[f9379,f1277]) ).
tff(f9379,plain,
( $less(sF10,0)
| ( 0 = $sum(sK1,sK1) )
| $less(0,$sum(sK1,sK1))
| $less($sum(sF10,sF10),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(superposition,[],[f1258,f9364]) ).
tff(f9691,plain,
( ~ spl11_270
| spl11_167
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f9421,f9363,f1276,f982,f264,f191,f3884,f9688]) ).
tff(f9421,plain,
( $less($sum(sF10,sF10),0)
| ~ $less($sum(sF10,sF10),$sum(sK1,sK1))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74
| ~ spl11_263 ),
inference(subsumption_resolution,[],[f9373,f1277]) ).
tff(f9373,plain,
( ~ $less($sum(sF10,sF10),$sum(sK1,sK1))
| $less($sum(sF10,sF10),0)
| $less(sF10,0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(superposition,[],[f1223,f9364]) ).
tff(f9690,plain,
( spl11_167
| ~ spl11_270
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f9410,f9363,f1276,f982,f264,f191,f9688,f3884]) ).
tff(f9410,plain,
( ~ $less($sum(sF10,sF10),$sum(sK1,sK1))
| $less($sum(sF10,sF10),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74
| ~ spl11_263 ),
inference(subsumption_resolution,[],[f9368,f1277]) ).
tff(f9368,plain,
( ~ $less($sum(sF10,sF10),$sum(sK1,sK1))
| $less(sF10,0)
| $less($sum(sF10,sF10),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(superposition,[],[f1153,f9364]) ).
tff(f9686,plain,
( spl11_268
| ~ spl11_131
| ~ spl11_267 ),
inference(avatar_split_clause,[],[f9674,f9671,f2593,f9679]) ).
tff(f9674,plain,
( $less(1,sF8)
| ~ spl11_131
| ~ spl11_267 ),
inference(resolution,[],[f9672,f7170]) ).
tff(f9685,plain,
( spl11_269
| ~ spl11_50
| ~ spl11_88 ),
inference(avatar_split_clause,[],[f9637,f1440,f916,f9683]) ).
tff(f9637,plain,
( $less(1,sK0)
| ~ spl11_50
| ~ spl11_88 ),
inference(resolution,[],[f9632,f2370]) ).
tff(f9681,plain,
( spl11_268
| ~ spl11_88
| ~ spl11_117 ),
inference(avatar_split_clause,[],[f9636,f2041,f1440,f9679]) ).
tff(f9636,plain,
( $less(1,sF8)
| ~ spl11_88
| ~ spl11_117 ),
inference(resolution,[],[f9632,f2045]) ).
tff(f9673,plain,
( spl11_267
| ~ spl11_34
| ~ spl11_88 ),
inference(avatar_split_clause,[],[f9635,f1440,f590,f9671]) ).
tff(f9635,plain,
( $less(1,sK2)
| ~ spl11_34
| ~ spl11_88 ),
inference(resolution,[],[f9632,f1028]) ).
tff(f9669,plain,
( spl11_182
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(avatar_split_clause,[],[f9627,f3897,f1726,f856,f239,f4626]) ).
tff(f9627,plain,
( ( mod1(sF3,sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(subsumption_resolution,[],[f9615,f3891]) ).
tff(f9615,plain,
( $less(sF3,0)
| ( mod1(sF3,sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(evaluation,[],[f9610]) ).
tff(f9610,plain,
( $less(1,0)
| $less(sF3,0)
| ( mod1(sF3,sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(superposition,[],[f4586,f312]) ).
tff(f9643,plain,
( spl11_116
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(avatar_split_clause,[],[f9622,f1276,f982,f264,f191,f1979]) ).
tff(f9622,plain,
( ( mod1(0,sK1) = mod1(sK1,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(subsumption_resolution,[],[f9621,f983]) ).
tff(f9621,plain,
( $less(sK1,0)
| ( mod1(0,sK1) = mod1(sK1,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(evaluation,[],[f9607]) ).
tff(f9607,plain,
( ( mod1(0,sK1) = mod1(sK1,sK1) )
| $less(1,0)
| $less(sK1,0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(superposition,[],[f1892,f312]) ).
tff(f1892,plain,
( ! [X0: $int] :
( ( mod1($product(X0,sK1),sK1) = mod1(0,sK1) )
| $less(X0,0)
| $less($product(X0,sK1),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(superposition,[],[f1858,f58]) ).
tff(f9633,plain,
( spl11_88
| ~ spl11_19
| ~ spl11_56
| spl11_58 ),
inference(avatar_split_clause,[],[f9630,f982,f973,f264,f1440]) ).
tff(f9630,plain,
( $less(1,sK1)
| ~ spl11_19
| ~ spl11_56
| spl11_58 ),
inference(subsumption_resolution,[],[f9609,f974]) ).
tff(f9609,plain,
( $less(1,sK1)
| ~ $less(sK1,sF10)
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1114,f312]) ).
tff(f1114,plain,
( ! [X7: $int] :
( ~ $less($product(X7,sK1),sF10)
| $less(X7,sK1) )
| ~ spl11_19
| spl11_58 ),
inference(subsumption_resolution,[],[f1110,f983]) ).
tff(f1110,plain,
( ! [X7: $int] :
( $less(sK1,0)
| ~ $less($product(X7,sK1),sF10)
| $less(X7,sK1) )
| ~ spl11_19 ),
inference(superposition,[],[f164,f265]) ).
tff(f9575,plain,
( spl11_266
| ~ spl11_2
| ~ spl11_19
| ~ spl11_20
| spl11_58
| spl11_74 ),
inference(avatar_split_clause,[],[f9561,f1276,f982,f301,f264,f191,f9573]) ).
tff(f9561,plain,
( ( $sum(sK1,div1(sK1,sK1)) = sF5 )
| ~ spl11_2
| ~ spl11_19
| ~ spl11_20
| spl11_58
| spl11_74 ),
inference(forward_demodulation,[],[f9560,f302]) ).
tff(f9560,plain,
( ( $sum(sK1,div1(sK1,sK1)) = $sum(1,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(subsumption_resolution,[],[f9487,f983]) ).
tff(f9487,plain,
( $less(sK1,0)
| ( $sum(sK1,div1(sK1,sK1)) = $sum(1,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(evaluation,[],[f9444]) ).
tff(f9444,plain,
( $less(1,0)
| $less(sK1,0)
| ( $sum(sK1,div1(sK1,sK1)) = $sum(1,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(superposition,[],[f9361,f60]) ).
tff(f9571,plain,
( spl11_265
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(avatar_split_clause,[],[f9533,f1276,f982,f264,f191,f9569]) ).
tff(f9533,plain,
( ( sK1 = $sum(sK1,div1(0,sK1)) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(forward_demodulation,[],[f9511,f274]) ).
tff(f9511,plain,
( ( $sum(0,sK1) = $sum(sK1,div1(0,sK1)) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(evaluation,[],[f9510]) ).
tff(f9510,plain,
( ( $sum(0,sK1) = $sum(sK1,div1(0,sK1)) )
| $less(0,0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(duplicate_literal_removal,[],[f9445]) ).
tff(f9445,plain,
( $less(0,0)
| ( $sum(0,sK1) = $sum(sK1,div1(0,sK1)) )
| $less(0,0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(superposition,[],[f9361,f61]) ).
tff(f9440,plain,
( ~ spl11_225
| spl11_264
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74
| ~ spl11_263 ),
inference(avatar_split_clause,[],[f9406,f9363,f1276,f982,f264,f191,f9438,f6196]) ).
tff(f9438,plain,
( spl11_264
<=> $less(0,$sum(sF10,sF10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_264])]) ).
tff(f9406,plain,
( $less(0,$sum(sF10,sF10))
| ~ $less(0,$sum(sK1,sK1))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74
| ~ spl11_263 ),
inference(subsumption_resolution,[],[f9374,f1277]) ).
tff(f9374,plain,
( $less(sF10,0)
| $less(0,$sum(sF10,sF10))
| ~ $less(0,$sum(sK1,sK1))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_263 ),
inference(superposition,[],[f1225,f9364]) ).
tff(f9365,plain,
( spl11_263
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(avatar_split_clause,[],[f9158,f1276,f982,f264,f191,f9363]) ).
tff(f8952,plain,
( spl11_262
| spl11_261
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_68 ),
inference(avatar_split_clause,[],[f8615,f1173,f982,f264,f191,f8945,f8948]) ).
tff(f8948,plain,
( spl11_262
<=> ( mod1(1,sK1) = mod1(0,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_262])]) ).
tff(f8615,plain,
( ! [X21: $int] :
( $less(X21,sF10)
| $less($uminus(sF10),X21)
| ( mod1(1,sK1) = mod1(0,sK1) ) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_68 ),
inference(subsumption_resolution,[],[f8601,f1174]) ).
tff(f8601,plain,
( ! [X21: $int] :
( $less($uminus(sF10),X21)
| $less(X21,sF10)
| ~ $less($uminus(sF10),0)
| ( mod1(1,sK1) = mod1(0,sK1) ) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(evaluation,[],[f8554]) ).
tff(f8554,plain,
( ! [X21: $int] :
( $less(0,0)
| $less($uminus(sF10),X21)
| ( mod1(1,sK1) = mod1(0,sK1) )
| ~ $less($uminus(sF10),0)
| $less(X21,sF10) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1651,f8189]) ).
tff(f8951,plain,
( spl11_260
| spl11_259
| ~ spl11_2
| ~ spl11_13
| ~ spl11_19
| ~ spl11_47
| spl11_58
| spl11_106
| ~ spl11_174 ),
inference(avatar_split_clause,[],[f8611,f4212,f1726,f982,f856,f264,f239,f191,f8938,f8941]) ).
tff(f8611,plain,
( ! [X19: $int] :
( $less(X19,sF10)
| $less($uminus(sF4),X19)
| ( mod1(1,sF3) = mod1(0,sF3) ) )
| ~ spl11_2
| ~ spl11_13
| ~ spl11_19
| ~ spl11_47
| spl11_58
| spl11_106
| ~ spl11_174 ),
inference(subsumption_resolution,[],[f8607,f4213]) ).
tff(f8607,plain,
( ! [X19: $int] :
( $less(X19,sF10)
| ( mod1(1,sF3) = mod1(0,sF3) )
| $less($uminus(sF4),X19)
| ~ $less($uminus(sF4),0) )
| ~ spl11_2
| ~ spl11_13
| ~ spl11_19
| ~ spl11_47
| spl11_58
| spl11_106 ),
inference(evaluation,[],[f8552]) ).
tff(f8552,plain,
( ! [X19: $int] :
( $less($uminus(sF4),X19)
| ~ $less($uminus(sF4),0)
| $less(0,0)
| $less(X19,sF10)
| ( mod1(1,sF3) = mod1(0,sF3) ) )
| ~ spl11_2
| ~ spl11_13
| ~ spl11_19
| ~ spl11_47
| spl11_58
| spl11_106 ),
inference(superposition,[],[f4414,f8189]) ).
tff(f8950,plain,
( spl11_261
| spl11_262
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_68 ),
inference(avatar_split_clause,[],[f8266,f1173,f982,f264,f191,f8948,f8945]) ).
tff(f8266,plain,
( ! [X39: $int] :
( ( mod1(1,sK1) = mod1(0,sK1) )
| $less(X39,sF10)
| $less($uminus(sF10),X39) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_68 ),
inference(subsumption_resolution,[],[f8255,f1174]) ).
tff(f8255,plain,
( ! [X39: $int] :
( ( mod1(1,sK1) = mod1(0,sK1) )
| $less($uminus(sF10),X39)
| $less(X39,sF10)
| ~ $less($uminus(sF10),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(evaluation,[],[f8213]) ).
tff(f8213,plain,
( ! [X39: $int] :
( $less($uminus(sF10),X39)
| $less(0,0)
| $less(X39,sF10)
| ~ $less($uminus(sF10),0)
| ( mod1(1,sK1) = mod1(0,sK1) ) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f3550,f8141]) ).
tff(f8943,plain,
( spl11_259
| spl11_260
| ~ spl11_2
| ~ spl11_13
| ~ spl11_19
| ~ spl11_47
| spl11_58
| spl11_106
| ~ spl11_174 ),
inference(avatar_split_clause,[],[f8265,f4212,f1726,f982,f856,f264,f239,f191,f8941,f8938]) ).
tff(f8265,plain,
( ! [X40: $int] :
( ( mod1(1,sF3) = mod1(0,sF3) )
| $less(X40,sF10)
| $less($uminus(sF4),X40) )
| ~ spl11_2
| ~ spl11_13
| ~ spl11_19
| ~ spl11_47
| spl11_58
| spl11_106
| ~ spl11_174 ),
inference(subsumption_resolution,[],[f8256,f4213]) ).
tff(f8256,plain,
( ! [X40: $int] :
( ( mod1(1,sF3) = mod1(0,sF3) )
| ~ $less($uminus(sF4),0)
| $less($uminus(sF4),X40)
| $less(X40,sF10) )
| ~ spl11_2
| ~ spl11_13
| ~ spl11_19
| ~ spl11_47
| spl11_58
| spl11_106 ),
inference(evaluation,[],[f8214]) ).
tff(f8214,plain,
( ! [X40: $int] :
( $less(0,0)
| $less($uminus(sF4),X40)
| ~ $less($uminus(sF4),0)
| $less(X40,sF10)
| ( mod1(1,sF3) = mod1(0,sF3) ) )
| ~ spl11_2
| ~ spl11_13
| ~ spl11_19
| ~ spl11_47
| spl11_58
| spl11_106 ),
inference(superposition,[],[f5086,f8141]) ).
tff(f8380,plain,
( ~ spl11_258
| spl11_61
| spl11_72 ),
inference(avatar_split_clause,[],[f3775,f1235,f1094,f8378]) ).
tff(f8378,plain,
( spl11_258
<=> $less(sF8,abs1($product(2,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_258])]) ).
tff(f1235,plain,
( spl11_72
<=> $less(abs1(sF8),abs1($product(2,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_72])]) ).
tff(f3775,plain,
( ~ $less(sF8,abs1($product(2,sK2)))
| spl11_61
| spl11_72 ),
inference(subsumption_resolution,[],[f3773,f2030]) ).
tff(f3773,plain,
( $less(sF8,0)
| ~ $less(sF8,abs1($product(2,sK2)))
| spl11_72 ),
inference(superposition,[],[f1236,f126]) ).
tff(f1236,plain,
( ~ $less(abs1(sF8),abs1($product(2,sK2)))
| spl11_72 ),
inference(avatar_component_clause,[],[f1235]) ).
tff(f8187,plain,
( ~ spl11_257
| spl11_61
| spl11_129 ),
inference(avatar_split_clause,[],[f8183,f2492,f1094,f8185]) ).
tff(f8185,plain,
( spl11_257
<=> $less(sF8,$product(2,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_257])]) ).
tff(f2492,plain,
( spl11_129
<=> $less(abs1(sF8),$product(2,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_129])]) ).
tff(f8183,plain,
( ~ $less(sF8,$product(2,sK2))
| spl11_61
| spl11_129 ),
inference(subsumption_resolution,[],[f8182,f2030]) ).
tff(f8182,plain,
( $less(sF8,0)
| ~ $less(sF8,$product(2,sK2))
| spl11_129 ),
inference(superposition,[],[f2493,f126]) ).
tff(f2493,plain,
( ~ $less(abs1(sF8),$product(2,sK2))
| spl11_129 ),
inference(avatar_component_clause,[],[f2492]) ).
tff(f8177,plain,
( spl11_256
| ~ spl11_28
| ~ spl11_174 ),
inference(avatar_split_clause,[],[f8098,f4212,f518,f8175]) ).
tff(f8098,plain,
( $less($uminus(sF4),sF8)
| ~ spl11_28
| ~ spl11_174 ),
inference(resolution,[],[f548,f4213]) ).
tff(f8058,plain,
( spl11_154
| ~ spl11_208
| spl11_255
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(avatar_split_clause,[],[f5384,f3897,f1726,f856,f239,f8052,f5138,f3454]) ).
tff(f8052,plain,
( spl11_255
<=> ! [X3: $int] :
( $less($product(X3,sF3),0)
| $less(X3,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_255])]) ).
tff(f5384,plain,
( ! [X3: $int] :
( $less($product(X3,sF3),0)
| ~ $less(mod1(0,sF3),0)
| $less(X3,0)
| ( 0 = sF3 ) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(duplicate_literal_removal,[],[f5378]) ).
tff(f5378,plain,
( ! [X3: $int] :
( ~ $less(mod1(0,sF3),0)
| $less($product(X3,sF3),0)
| $less(X3,0)
| $less($product(X3,sF3),0)
| ( 0 = sF3 ) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(superposition,[],[f163,f4586]) ).
tff(f8057,plain,
( spl11_22
| ~ spl11_17 ),
inference(avatar_split_clause,[],[f293,f255,f309]) ).
tff(f293,plain,
( ( sF8 = $sum(sK1,sF7) )
| ~ spl11_17 ),
inference(superposition,[],[f256,f47]) ).
tff(f8054,plain,
( ~ spl11_205
| spl11_255
| spl11_154
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(avatar_split_clause,[],[f5350,f3897,f1726,f856,f239,f3454,f8052,f5125]) ).
tff(f5125,plain,
( spl11_205
<=> $less(mod1(sF4,sF3),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_205])]) ).
tff(f5350,plain,
( ! [X3: $int] :
( ( 0 = sF3 )
| $less($product(X3,sF3),0)
| ~ $less(mod1(sF4,sF3),0)
| $less(X3,0) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(duplicate_literal_removal,[],[f5337]) ).
tff(f5337,plain,
( ! [X3: $int] :
( $less(X3,0)
| $less($product(X3,sF3),0)
| ~ $less(mod1(sF4,sF3),0)
| ( 0 = sF3 )
| $less($product(X3,sF3),0) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(superposition,[],[f163,f4551]) ).
tff(f4551,plain,
( ! [X0: $int] :
( ( mod1($product(X0,sF3),sF3) = mod1(sF4,sF3) )
| $less(X0,0)
| $less($product(X0,sF3),0) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(superposition,[],[f4492,f58]) ).
tff(f7980,plain,
( spl11_21
| ~ spl11_12 ),
inference(avatar_split_clause,[],[f292,f235,f305]) ).
tff(f292,plain,
( ( $sum(1,sK2) = sF3 )
| ~ spl11_12 ),
inference(superposition,[],[f236,f47]) ).
tff(f7974,plain,
( spl11_20
| ~ spl11_14 ),
inference(avatar_split_clause,[],[f291,f243,f301]) ).
tff(f291,plain,
( ( $sum(1,sK1) = sF5 )
| ~ spl11_14 ),
inference(superposition,[],[f244,f47]) ).
tff(f7973,plain,
( spl11_254
| spl11_154
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(avatar_split_clause,[],[f7939,f1726,f856,f239,f3454,f7971]) ).
tff(f7939,plain,
( ! [X6: $int] :
( ( 0 = sF3 )
| ~ $less(mod1(X6,sF3),0)
| $less($sum($uminus(sF4),X6),0) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(duplicate_literal_removal,[],[f7929]) ).
tff(f7929,plain,
( ! [X6: $int] :
( ~ $less(mod1(X6,sF3),0)
| ( 0 = sF3 )
| $less($sum($uminus(sF4),X6),0)
| $less($sum($uminus(sF4),X6),0) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f163,f5086]) ).
tff(f7969,plain,
( spl11_172
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(avatar_split_clause,[],[f7938,f1726,f856,f239,f4205]) ).
tff(f7938,plain,
( ( mod1(sF4,sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(evaluation,[],[f7912]) ).
tff(f7912,plain,
( $less(0,0)
| ( mod1($uminus($uminus(sF4)),sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f5086,f51]) ).
tff(f7968,plain,
( spl11_172
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(avatar_split_clause,[],[f7935,f1726,f856,f239,f4205]) ).
tff(f7935,plain,
( ( mod1(sF4,sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(evaluation,[],[f7909]) ).
tff(f7909,plain,
( ( mod1(sF4,sF3) = mod1(0,sF3) )
| $less(0,0)
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f5086,f267]) ).
tff(f7967,plain,
( spl11_61
| ~ spl11_243 ),
inference(avatar_contradiction_clause,[],[f7966]) ).
tff(f7966,plain,
( $false
| spl11_61
| ~ spl11_243 ),
inference(subsumption_resolution,[],[f7965,f2030]) ).
tff(f7965,plain,
( $less(sF8,0)
| ~ spl11_243 ),
inference(evaluation,[],[f7950]) ).
tff(f7950,plain,
( ( 0 = 2 )
| $less(sF8,0)
| ~ spl11_243 ),
inference(resolution,[],[f7312,f163]) ).
tff(f7312,plain,
( $less(mod1(sF8,2),0)
| ~ spl11_243 ),
inference(avatar_component_clause,[],[f7311]) ).
tff(f7311,plain,
( spl11_243
<=> $less(mod1(sF8,2),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_243])]) ).
tff(f7896,plain,
( spl11_53
| ~ spl11_160
| spl11_171
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(avatar_split_clause,[],[f4093,f1276,f982,f264,f191,f4141,f3727,f951]) ).
tff(f4141,plain,
( spl11_171
<=> ! [X1: $int] :
( $less($product(X1,sK1),0)
| $less(X1,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_171])]) ).
tff(f4093,plain,
( ! [X3: $int] :
( $less(X3,0)
| ~ $less(mod1(0,sK1),0)
| ( 0 = sK1 )
| $less($product(X3,sK1),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(duplicate_literal_removal,[],[f4083]) ).
tff(f4083,plain,
( ! [X3: $int] :
( ( 0 = sK1 )
| $less($product(X3,sK1),0)
| $less(X3,0)
| ~ $less(mod1(0,sK1),0)
| $less($product(X3,sK1),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(superposition,[],[f163,f1892]) ).
tff(f7895,plain,
( spl11_53
| ~ spl11_159
| spl11_171
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(avatar_split_clause,[],[f4051,f1276,f982,f264,f191,f4141,f3603,f951]) ).
tff(f3603,plain,
( spl11_159
<=> $less(mod1(sF10,sK1),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_159])]) ).
tff(f4051,plain,
( ! [X3: $int] :
( $less(X3,0)
| ~ $less(mod1(sF10,sK1),0)
| ( 0 = sK1 )
| $less($product(X3,sK1),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(duplicate_literal_removal,[],[f4045]) ).
tff(f4045,plain,
( ! [X3: $int] :
( ( 0 = sK1 )
| $less(X3,0)
| $less($product(X3,sK1),0)
| $less($product(X3,sK1),0)
| ~ $less(mod1(sF10,sK1),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(superposition,[],[f163,f1818]) ).
tff(f1818,plain,
( ! [X1: $int] :
( ( mod1(sF10,sK1) = mod1($product(X1,sK1),sK1) )
| $less($product(X1,sK1),0)
| $less(X1,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(superposition,[],[f1795,f58]) ).
tff(f7894,plain,
( ~ spl11_217
| spl11_107
| spl11_216 ),
inference(avatar_split_clause,[],[f6980,f5426,f1792,f5436]) ).
tff(f5436,plain,
( spl11_217
<=> $less(sK2,$product(2,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_217])]) ).
tff(f5426,plain,
( spl11_216
<=> $less(abs1(sK2),$product(2,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_216])]) ).
tff(f6980,plain,
( ~ $less(sK2,$product(2,sK2))
| spl11_107
| spl11_216 ),
inference(subsumption_resolution,[],[f5441,f1793]) ).
tff(f5441,plain,
( ~ $less(sK2,$product(2,sK2))
| $less(sK2,0)
| spl11_216 ),
inference(superposition,[],[f5427,f126]) ).
tff(f5427,plain,
( ~ $less(abs1(sK2),$product(2,sK2))
| spl11_216 ),
inference(avatar_component_clause,[],[f5426]) ).
tff(f7891,plain,
( spl11_237
| spl11_236
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_149 ),
inference(avatar_split_clause,[],[f6665,f3429,f982,f264,f191,f6645,f6648]) ).
tff(f3429,plain,
( spl11_149
<=> $less(0,$uminus(sF10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_149])]) ).
tff(f6665,plain,
( ! [X0: $int] :
( ( 0 = $uminus(sF10) )
| $less($uminus(sF10),X0)
| $less(X0,sF10)
| ( $uminus(sF10) = X0 ) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_149 ),
inference(resolution,[],[f6532,f3430]) ).
tff(f3430,plain,
( ~ $less(0,$uminus(sF10))
| spl11_149 ),
inference(avatar_component_clause,[],[f3429]) ).
tff(f7841,plain,
( spl11_22
| ~ spl11_17 ),
inference(avatar_split_clause,[],[f288,f255,f309]) ).
tff(f288,plain,
( ( sF8 = $sum(sK1,sF7) )
| ~ spl11_17 ),
inference(superposition,[],[f256,f47]) ).
tff(f7837,plain,
( ~ spl11_159
| spl11_53
| spl11_171
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(avatar_split_clause,[],[f3990,f1276,f982,f264,f191,f4141,f951,f3603]) ).
tff(f3990,plain,
( ! [X3: $int] :
( $less(X3,0)
| ( 0 = sK1 )
| ~ $less(mod1(sF10,sK1),0)
| $less($product(X3,sK1),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(duplicate_literal_removal,[],[f3983]) ).
tff(f3983,plain,
( ! [X3: $int] :
( $less($product(X3,sK1),0)
| $less(X3,0)
| ~ $less(mod1(sF10,sK1),0)
| ( 0 = sK1 )
| $less($product(X3,sK1),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(superposition,[],[f163,f1817]) ).
tff(f1817,plain,
( ! [X0: $int] :
( ( mod1(sF10,sK1) = mod1($product(X0,sK1),sK1) )
| $less(X0,0)
| $less($product(X0,sK1),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(superposition,[],[f1795,f58]) ).
tff(f7767,plain,
( spl11_253
| spl11_53
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f7735,f982,f264,f191,f951,f7765]) ).
tff(f7735,plain,
( ! [X6: $int] :
( ( 0 = sK1 )
| $less($sum($uminus(sF10),X6),0)
| ~ $less(mod1(X6,sK1),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(duplicate_literal_removal,[],[f7725]) ).
tff(f7725,plain,
( ! [X6: $int] :
( $less($sum($uminus(sF10),X6),0)
| $less($sum($uminus(sF10),X6),0)
| ~ $less(mod1(X6,sK1),0)
| ( 0 = sK1 ) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f163,f3550]) ).
tff(f7763,plain,
( spl11_193
| ~ spl11_10
| ~ spl11_199 ),
inference(avatar_split_clause,[],[f7421,f4919,f224,f4793]) ).
tff(f7421,plain,
( $less($uminus(sF4),sF10)
| ~ spl11_10
| ~ spl11_199 ),
inference(resolution,[],[f4920,f362]) ).
tff(f7762,plain,
( spl11_80
| ~ spl11_250
| spl11_249
| ~ spl11_2
| spl11_5
| ~ spl11_16
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f3704,f982,f264,f251,f203,f191,f7747,f7750,f1313]) ).
tff(f7747,plain,
( spl11_249
<=> $less($sum(sF10,$sum(sK0,sF10)),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_249])]) ).
tff(f3704,plain,
( $less($sum(sF10,$sum(sK0,sF10)),0)
| ~ $less($sum(sK1,$sum(sK1,sF7)),0)
| $less($sum(sK0,sF10),0)
| ~ spl11_2
| spl11_5
| ~ spl11_16
| ~ spl11_19
| spl11_58 ),
inference(subsumption_resolution,[],[f3636,f204]) ).
tff(f3636,plain,
( ~ $less($sum(sK1,$sum(sK1,sF7)),0)
| $less(sK0,0)
| $less($sum(sK0,sF10),0)
| $less($sum(sF10,$sum(sK0,sF10)),0)
| ~ spl11_2
| ~ spl11_16
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1261,f252]) ).
tff(f1261,plain,
( ! [X2: $int] :
( ~ $less($sum(sK1,$sum(sK1,div1(X2,sK1))),0)
| $less(X2,0)
| $less($sum(X2,sF10),0)
| $less($sum(sF10,$sum(X2,sF10)),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1155,f1143]) ).
tff(f7761,plain,
( spl11_64
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f7738,f982,f264,f191,f1158]) ).
tff(f7738,plain,
( ( mod1(sF10,sK1) = mod1(0,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(evaluation,[],[f7705]) ).
tff(f7705,plain,
( $less(0,0)
| ( mod1(sF10,sK1) = mod1(0,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f3550,f267]) ).
tff(f7760,plain,
( spl11_64
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f7730,f982,f264,f191,f1158]) ).
tff(f7730,plain,
( ( mod1(sF10,sK1) = mod1(0,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(evaluation,[],[f7708]) ).
tff(f7708,plain,
( ( mod1(0,sK1) = mod1($uminus($uminus(sF10)),sK1) )
| $less(0,0)
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f3550,f51]) ).
tff(f7759,plain,
( spl11_251
| spl11_80
| spl11_252
| ~ spl11_2
| spl11_5
| ~ spl11_16
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f3701,f982,f264,f251,f203,f191,f7757,f1313,f7754]) ).
tff(f7757,plain,
( spl11_252
<=> ( $sum(sK1,sF7) = $sum(sK0,sF10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_252])]) ).
tff(f3701,plain,
( ( $sum(sK1,sF7) = $sum(sK0,sF10) )
| $less($sum(sK0,sF10),0)
| $less($sum(sK1,sF7),$sum(sK0,sF10))
| ~ spl11_2
| spl11_5
| ~ spl11_16
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f3700,f47]) ).
tff(f3700,plain,
( $less($sum(sK1,sF7),$sum(sF10,sK0))
| $less($sum(sK0,sF10),0)
| ( $sum(sK1,sF7) = $sum(sK0,sF10) )
| ~ spl11_2
| spl11_5
| ~ spl11_16
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f3699,f47]) ).
tff(f3699,plain,
( ( $sum(sK1,sF7) = $sum(sF10,sK0) )
| $less($sum(sK0,sF10),0)
| $less($sum(sK1,sF7),$sum(sF10,sK0))
| ~ spl11_2
| spl11_5
| ~ spl11_16
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f3698,f47]) ).
tff(f3698,plain,
( $less($sum(sF10,sK0),0)
| ( $sum(sK1,sF7) = $sum(sF10,sK0) )
| $less($sum(sK1,sF7),$sum(sF10,sK0))
| ~ spl11_2
| spl11_5
| ~ spl11_16
| ~ spl11_19
| spl11_58 ),
inference(subsumption_resolution,[],[f3638,f204]) ).
tff(f3638,plain,
( $less(sK0,0)
| ( $sum(sK1,sF7) = $sum(sF10,sK0) )
| $less($sum(sF10,sK0),0)
| $less($sum(sK1,sF7),$sum(sF10,sK0))
| ~ spl11_2
| ~ spl11_16
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1341,f252]) ).
tff(f7752,plain,
( spl11_80
| spl11_249
| ~ spl11_250
| ~ spl11_2
| spl11_5
| ~ spl11_16
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f3674,f982,f264,f251,f203,f191,f7750,f7747,f1313]) ).
tff(f3674,plain,
( ~ $less($sum(sK1,$sum(sK1,sF7)),0)
| $less($sum(sF10,$sum(sK0,sF10)),0)
| $less($sum(sK0,sF10),0)
| ~ spl11_2
| spl11_5
| ~ spl11_16
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f3673,f47]) ).
tff(f3673,plain,
( $less($sum(sF10,sK0),0)
| $less($sum(sF10,$sum(sK0,sF10)),0)
| ~ $less($sum(sK1,$sum(sK1,sF7)),0)
| ~ spl11_2
| spl11_5
| ~ spl11_16
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f3672,f47]) ).
tff(f3672,plain,
( $less($sum(sF10,$sum(sF10,sK0)),0)
| $less($sum(sF10,sK0),0)
| ~ $less($sum(sK1,$sum(sK1,sF7)),0)
| ~ spl11_2
| spl11_5
| ~ spl11_16
| ~ spl11_19
| spl11_58 ),
inference(subsumption_resolution,[],[f3635,f204]) ).
tff(f3635,plain,
( $less(sK0,0)
| ~ $less($sum(sK1,$sum(sK1,sF7)),0)
| $less($sum(sF10,$sum(sF10,sK0)),0)
| $less($sum(sF10,sK0),0)
| ~ spl11_2
| ~ spl11_16
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1260,f252]) ).
tff(f1260,plain,
( ! [X1: $int] :
( ~ $less($sum(sK1,$sum(sK1,div1(X1,sK1))),0)
| $less($sum(sF10,$sum(sF10,X1)),0)
| $less($sum(sF10,X1),0)
| $less(X1,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1155,f1119]) ).
tff(f7703,plain,
( spl11_80
| spl11_248
| ~ spl11_247
| ~ spl11_2
| spl11_5
| ~ spl11_16
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f3662,f982,f264,f251,f203,f191,f7697,f7700,f1313]) ).
tff(f7697,plain,
( spl11_247
<=> $less(0,$sum(sK1,$sum(sK1,sF7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_247])]) ).
tff(f3662,plain,
( ~ $less(0,$sum(sK1,$sum(sK1,sF7)))
| $less(0,$sum(sF10,$sum(sK0,sF10)))
| $less($sum(sK0,sF10),0)
| ~ spl11_2
| spl11_5
| ~ spl11_16
| ~ spl11_19
| spl11_58 ),
inference(subsumption_resolution,[],[f3632,f204]) ).
tff(f3632,plain,
( $less(sK0,0)
| $less(0,$sum(sF10,$sum(sK0,sF10)))
| $less($sum(sK0,sF10),0)
| ~ $less(0,$sum(sK1,$sum(sK1,sF7)))
| ~ spl11_2
| ~ spl11_16
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1249,f252]) ).
tff(f1249,plain,
( ! [X2: $int] :
( ~ $less(0,$sum(sK1,$sum(sK1,div1(X2,sK1))))
| $less(0,$sum(sF10,$sum(X2,sF10)))
| $less(X2,0)
| $less($sum(X2,sF10),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1154,f1143]) ).
tff(f7702,plain,
( ~ spl11_247
| spl11_248
| spl11_80
| ~ spl11_2
| spl11_5
| ~ spl11_16
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f3661,f982,f264,f251,f203,f191,f1313,f7700,f7697]) ).
tff(f3661,plain,
( $less($sum(sK0,sF10),0)
| $less(0,$sum(sF10,$sum(sK0,sF10)))
| ~ $less(0,$sum(sK1,$sum(sK1,sF7)))
| ~ spl11_2
| spl11_5
| ~ spl11_16
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f3660,f47]) ).
tff(f3660,plain,
( $less(0,$sum(sF10,$sum(sK0,sF10)))
| ~ $less(0,$sum(sK1,$sum(sK1,sF7)))
| $less($sum(sF10,sK0),0)
| ~ spl11_2
| spl11_5
| ~ spl11_16
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f3659,f47]) ).
tff(f3659,plain,
( $less(0,$sum(sF10,$sum(sF10,sK0)))
| $less($sum(sF10,sK0),0)
| ~ $less(0,$sum(sK1,$sum(sK1,sF7)))
| ~ spl11_2
| spl11_5
| ~ spl11_16
| ~ spl11_19
| spl11_58 ),
inference(subsumption_resolution,[],[f3631,f204]) ).
tff(f3631,plain,
( $less(0,$sum(sF10,$sum(sF10,sK0)))
| $less(sK0,0)
| ~ $less(0,$sum(sK1,$sum(sK1,sF7)))
| $less($sum(sF10,sK0),0)
| ~ spl11_2
| ~ spl11_16
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1248,f252]) ).
tff(f1248,plain,
( ! [X1: $int] :
( ~ $less(0,$sum(sK1,$sum(sK1,div1(X1,sK1))))
| $less(X1,0)
| $less(0,$sum(sF10,$sum(sF10,X1)))
| $less($sum(sF10,X1),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1154,f1119]) ).
tff(f7695,plain,
( spl11_169
| spl11_245
| spl11_246
| spl11_193
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_174 ),
inference(avatar_split_clause,[],[f7685,f4212,f982,f264,f191,f4793,f7693,f7690,f3894]) ).
tff(f7690,plain,
( spl11_245
<=> ( 0 = abs1(sF4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_245])]) ).
tff(f7693,plain,
( spl11_246
<=> $less(abs1(sF4),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_246])]) ).
tff(f7685,plain,
( $less($uminus(sF4),sF10)
| $less(abs1(sF4),sF10)
| ( 0 = abs1(sF4) )
| ( 0 = sF4 )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_174 ),
inference(subsumption_resolution,[],[f7619,f52]) ).
tff(f7619,plain,
( $less($uminus(sF4),sF10)
| ( 0 = sF4 )
| $less(abs1(sF4),sF10)
| ( 0 = abs1(sF4) )
| $less(sF4,sF4)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_174 ),
inference(resolution,[],[f4837,f3902]) ).
tff(f4837,plain,
( ! [X4: $int] :
( $less($uminus(sF4),X4)
| ( 0 = abs1(X4) )
| $less(abs1(X4),sF10)
| $less(X4,sF4) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_174 ),
inference(evaluation,[],[f4806]) ).
tff(f4806,plain,
( ! [X4: $int] :
( $less($uminus(sF4),X4)
| $less(abs1(X4),sF10)
| ( 0 = abs1(X4) )
| $less(X4,$uminus($uminus(sF4))) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_174 ),
inference(resolution,[],[f4775,f150]) ).
tff(f150,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,abs1(X1))
| $less(X0,X1)
| $less(X1,$uminus(X0)) ),
inference(cnf_transformation,[],[f83]) ).
tff(f7688,plain,
( spl11_193
| ~ spl11_56
| ~ spl11_195 ),
inference(avatar_split_clause,[],[f7349,f4876,f973,f4793]) ).
tff(f7349,plain,
( $less($uminus(sF4),sF10)
| ~ spl11_56
| ~ spl11_195 ),
inference(resolution,[],[f4877,f2385]) ).
tff(f7687,plain,
( spl11_189
| spl11_239
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_174 ),
inference(avatar_split_clause,[],[f7327,f4212,f982,f264,f191,f6662,f4759]) ).
tff(f7327,plain,
( ! [X1: $int] :
( ( $uminus(sF4) = X1 )
| $less($uminus(sF4),X1)
| $less(X1,sF10)
| ( 0 = $uminus(sF4) ) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_174 ),
inference(resolution,[],[f4213,f3803]) ).
tff(f7540,plain,
( spl11_189
| spl11_193
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_203 ),
inference(avatar_split_clause,[],[f7531,f5008,f982,f264,f191,f4793,f4759]) ).
tff(f7531,plain,
( $less($uminus(sF4),sF10)
| ( 0 = $uminus(sF4) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_203 ),
inference(resolution,[],[f5009,f4427]) ).
tff(f7539,plain,
( spl11_169
| spl11_193
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_203 ),
inference(avatar_split_clause,[],[f7532,f5008,f982,f264,f191,f4793,f3894]) ).
tff(f7532,plain,
( $less($uminus(sF4),sF10)
| ( 0 = sF4 )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_203 ),
inference(resolution,[],[f5009,f3902]) ).
tff(f7530,plain,
( spl11_201
| spl11_202
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_174 ),
inference(avatar_split_clause,[],[f7256,f4212,f982,f264,f191,f4964,f4961]) ).
tff(f7256,plain,
( ( 0 = $uminus(abs1(abs1($uminus(sF4)))) )
| $less($uminus(abs1(abs1($uminus(sF4)))),sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_174 ),
inference(resolution,[],[f4807,f322]) ).
tff(f7336,plain,
( spl11_207
| spl11_154
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(avatar_split_clause,[],[f7018,f1726,f856,f239,f3454,f5134]) ).
tff(f7018,plain,
( ! [X4: $int] :
( ( 0 = sF3 )
| $less($sum(X4,$uminus(sF4)),0)
| ~ $less(mod1(X4,sF3),0) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(duplicate_literal_removal,[],[f7012]) ).
tff(f7012,plain,
( ! [X4: $int] :
( $less($sum(X4,$uminus(sF4)),0)
| ~ $less(mod1(X4,sF3),0)
| ( 0 = sF3 )
| $less($sum(X4,$uminus(sF4)),0) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f163,f4414]) ).
tff(f7335,plain,
( spl11_193
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_174 ),
inference(avatar_split_clause,[],[f7325,f4212,f982,f264,f191,f4793]) ).
tff(f7325,plain,
( $less($uminus(sF4),sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_174 ),
inference(resolution,[],[f4213,f1404]) ).
tff(f7316,plain,
( spl11_243
| spl11_244
| ~ spl11_18
| ~ spl11_99
| spl11_107 ),
inference(avatar_split_clause,[],[f7294,f1792,f1585,f260,f7314,f7311]) ).
tff(f7314,plain,
( spl11_244
<=> ( sK2 = $sum(sK2,div1(mod1(sF8,2),2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_244])]) ).
tff(f260,plain,
( spl11_18
<=> ( sK2 = div1(sF8,2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_18])]) ).
tff(f1585,plain,
( spl11_99
<=> ( sF8 = $sum($product(2,sK2),mod1(sF8,2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_99])]) ).
tff(f7294,plain,
( ( sK2 = $sum(sK2,div1(mod1(sF8,2),2)) )
| $less(mod1(sF8,2),0)
| ~ spl11_18
| ~ spl11_99
| spl11_107 ),
inference(forward_demodulation,[],[f7293,f261]) ).
tff(f261,plain,
( ( sK2 = div1(sF8,2) )
| ~ spl11_18 ),
inference(avatar_component_clause,[],[f260]) ).
tff(f7293,plain,
( $less(mod1(sF8,2),0)
| ( div1(sF8,2) = $sum(sK2,div1(mod1(sF8,2),2)) )
| ~ spl11_99
| spl11_107 ),
inference(subsumption_resolution,[],[f7292,f1793]) ).
tff(f7292,plain,
( ( div1(sF8,2) = $sum(sK2,div1(mod1(sF8,2),2)) )
| $less(mod1(sF8,2),0)
| $less(sK2,0)
| ~ spl11_99 ),
inference(evaluation,[],[f7286]) ).
tff(f7286,plain,
( ~ $less(0,2)
| $less(mod1(sF8,2),0)
| ( div1(sF8,2) = $sum(sK2,div1(mod1(sF8,2),2)) )
| $less(sK2,0)
| ~ spl11_99 ),
inference(superposition,[],[f151,f1586]) ).
tff(f1586,plain,
( ( sF8 = $sum($product(2,sK2),mod1(sF8,2)) )
| ~ spl11_99 ),
inference(avatar_component_clause,[],[f1585]) ).
tff(f7269,plain,
( spl11_197
| spl11_198
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_174 ),
inference(avatar_split_clause,[],[f7253,f4212,f982,f264,f191,f4913,f4910]) ).
tff(f7253,plain,
( ( 0 = $uminus(abs1($uminus(sF4))) )
| $less($uminus(abs1($uminus(sF4))),sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_174 ),
inference(resolution,[],[f4807,f52]) ).
tff(f7239,plain,
( spl11_241
| spl11_174
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(avatar_split_clause,[],[f7040,f1726,f856,f239,f4212,f7175]) ).
tff(f7175,plain,
( spl11_241
<=> ( mod1($uminus(sF4),sF3) = mod1(sF4,sF3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_241])]) ).
tff(f7040,plain,
( $less($uminus(sF4),0)
| ( mod1($uminus(sF4),sF3) = mod1(sF4,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(evaluation,[],[f7039]) ).
tff(f7039,plain,
( $less($uminus(sF4),0)
| ( mod1($uminus(sF4),sF3) = mod1(sF4,sF3) )
| $less(0,0)
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(forward_demodulation,[],[f7007,f51]) ).
tff(f7007,plain,
( $less($sum(sF4,$uminus(sF4)),0)
| $less($uminus(sF4),0)
| ( mod1($uminus(sF4),sF3) = mod1(sF4,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f4180,f4414]) ).
tff(f7181,plain,
( spl11_242
| ~ spl11_233
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f2576,f982,f264,f191,f6355,f7179]) ).
tff(f7179,plain,
( spl11_242
<=> ! [X0: $int] :
( $less(X0,0)
| ~ $less(X0,sK1)
| $less($sum(sF10,$sum(X0,sF10)),0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_242])]) ).
tff(f6355,plain,
( spl11_233
<=> $less($sum(sK1,sK1),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_233])]) ).
tff(f2576,plain,
( ! [X0: $int] :
( ~ $less($sum(sK1,sK1),0)
| $less(X0,0)
| $less($sum(sF10,$sum(X0,sF10)),0)
| ~ $less(X0,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f2575,f49]) ).
tff(f2575,plain,
( ! [X0: $int] :
( ~ $less($sum(sK1,$sum(sK1,0)),0)
| $less($sum(sF10,$sum(X0,sF10)),0)
| ~ $less(X0,sK1)
| $less(X0,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(subsumption_resolution,[],[f2567,f1530]) ).
tff(f2567,plain,
( ! [X0: $int] :
( ~ $less($sum(sK1,$sum(sK1,0)),0)
| $less(X0,0)
| ~ $less(X0,sK1)
| $less($sum(X0,sF10),0)
| $less($sum(sF10,$sum(X0,sF10)),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(duplicate_literal_removal,[],[f2557]) ).
tff(f2557,plain,
( ! [X0: $int] :
( $less($sum(X0,sF10),0)
| ~ $less($sum(sK1,$sum(sK1,0)),0)
| $less(X0,0)
| $less($sum(sF10,$sum(X0,sF10)),0)
| ~ $less(X0,sK1)
| $less(X0,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1261,f156]) ).
tff(f7177,plain,
( spl11_241
| spl11_174
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(avatar_split_clause,[],[f7029,f1726,f856,f239,f4212,f7175]) ).
tff(f7029,plain,
( $less($uminus(sF4),0)
| ( mod1($uminus(sF4),sF3) = mod1(sF4,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(evaluation,[],[f7028]) ).
tff(f7028,plain,
( ( mod1($uminus(sF4),sF3) = mod1(sF4,sF3) )
| $less(0,0)
| $less($uminus(sF4),0)
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(forward_demodulation,[],[f7002,f51]) ).
tff(f7002,plain,
( $less($sum(sF4,$uminus(sF4)),0)
| $less($uminus(sF4),0)
| ( mod1($uminus(sF4),sF3) = mod1(sF4,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f4414,f4180]) ).
tff(f7171,plain,
( spl11_173
| spl11_174
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(avatar_split_clause,[],[f6998,f1726,f856,f239,f4212,f4209]) ).
tff(f4209,plain,
( spl11_173
<=> ( mod1($uminus(sF4),sF3) = mod1(0,sF3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_173])]) ).
tff(f6998,plain,
( $less($uminus(sF4),0)
| ( mod1($uminus(sF4),sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f4414,f274]) ).
tff(f7142,plain,
( spl11_189
| spl11_193
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_174 ),
inference(avatar_split_clause,[],[f7060,f4212,f982,f264,f191,f4793,f4759]) ).
tff(f7060,plain,
( $less($uminus(sF4),sF10)
| ( 0 = $uminus(sF4) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_174 ),
inference(resolution,[],[f4775,f52]) ).
tff(f7057,plain,
( ~ spl11_225
| spl11_240
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f2513,f982,f264,f191,f7055,f6196]) ).
tff(f2513,plain,
( ! [X0: $int] :
( $less(0,$sum(sF10,$sum(X0,sF10)))
| ~ $less(X0,sK1)
| $less(X0,0)
| ~ $less(0,$sum(sK1,sK1)) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f2512,f49]) ).
tff(f2512,plain,
( ! [X0: $int] :
( ~ $less(0,$sum(sK1,$sum(sK1,0)))
| $less(0,$sum(sF10,$sum(X0,sF10)))
| $less(X0,0)
| ~ $less(X0,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(subsumption_resolution,[],[f2508,f1530]) ).
tff(f2508,plain,
( ! [X0: $int] :
( ~ $less(0,$sum(sK1,$sum(sK1,0)))
| ~ $less(X0,sK1)
| $less($sum(X0,sF10),0)
| $less(X0,0)
| $less(0,$sum(sF10,$sum(X0,sF10))) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(duplicate_literal_removal,[],[f2497]) ).
tff(f2497,plain,
( ! [X0: $int] :
( $less($sum(X0,sF10),0)
| ~ $less(0,$sum(sK1,$sum(sK1,0)))
| $less(X0,0)
| ~ $less(X0,sK1)
| $less(0,$sum(sF10,$sum(X0,sF10)))
| $less(X0,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1249,f156]) ).
tff(f7042,plain,
( spl11_172
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(avatar_split_clause,[],[f7025,f1726,f856,f239,f4205]) ).
tff(f7025,plain,
( ( mod1(sF4,sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(evaluation,[],[f6995]) ).
tff(f6995,plain,
( ( mod1(sF4,sF3) = mod1(0,sF3) )
| $less(0,0)
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f4414,f51]) ).
tff(f7041,plain,
( spl11_172
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(avatar_split_clause,[],[f7024,f1726,f856,f239,f4205]) ).
tff(f7024,plain,
( ( mod1(sF4,sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(evaluation,[],[f7000]) ).
tff(f7000,plain,
( $less(0,0)
| ( mod1($uminus($uminus(sF4)),sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f4414,f267]) ).
tff(f6976,plain,
( ~ spl11_174
| ~ spl11_189 ),
inference(avatar_contradiction_clause,[],[f6975]) ).
tff(f6975,plain,
( $false
| ~ spl11_174
| ~ spl11_189 ),
inference(evaluation,[],[f6880]) ).
tff(f6880,plain,
( $less(0,0)
| ~ spl11_174
| ~ spl11_189 ),
inference(backward_demodulation,[],[f4213,f4760]) ).
tff(f4760,plain,
( ( 0 = $uminus(sF4) )
| ~ spl11_189 ),
inference(avatar_component_clause,[],[f4759]) ).
tff(f6664,plain,
( spl11_239
| spl11_189
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_174 ),
inference(avatar_split_clause,[],[f6522,f4212,f982,f264,f191,f4759,f6662]) ).
tff(f6522,plain,
( ! [X11: $int] :
( ( 0 = $uminus(sF4) )
| $less($uminus(sF4),X11)
| ( $uminus(sF4) = X11 )
| $less(X11,sF10) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_174 ),
inference(resolution,[],[f3803,f4213]) ).
tff(f6654,plain,
spl11_238,
inference(avatar_split_clause,[],[f377,f6652]) ).
tff(f6652,plain,
( spl11_238
<=> $less(0,abs1(1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_238])]) ).
tff(f377,plain,
$less(0,abs1(1)),
inference(evaluation,[],[f375]) ).
tff(f375,plain,
( $less(0,abs1(1))
| ( 0 = 1 ) ),
inference(superposition,[],[f160,f152]) ).
tff(f6650,plain,
( spl11_236
| spl11_237
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_68 ),
inference(avatar_split_clause,[],[f6519,f1173,f982,f264,f191,f6648,f6645]) ).
tff(f6519,plain,
( ! [X5: $int] :
( $less(X5,sF10)
| ( $uminus(sF10) = X5 )
| ( 0 = $uminus(sF10) )
| $less($uminus(sF10),X5) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_68 ),
inference(resolution,[],[f3803,f1174]) ).
tff(f6631,plain,
( spl11_235
| ~ spl11_8
| ~ spl11_231 ),
inference(avatar_split_clause,[],[f6372,f6334,f215,f6629]) ).
tff(f6372,plain,
( $less(2,sF6)
| ~ spl11_8
| ~ spl11_231 ),
inference(resolution,[],[f6335,f361]) ).
tff(f6515,plain,
( spl11_234
| ~ spl11_7
| ~ spl11_231 ),
inference(avatar_split_clause,[],[f6371,f6334,f211,f6513]) ).
tff(f6371,plain,
( $less(2,sF4)
| ~ spl11_7
| ~ spl11_231 ),
inference(resolution,[],[f6335,f360]) ).
tff(f6357,plain,
( spl11_232
| ~ spl11_233
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f2555,f982,f264,f191,f6355,f6352]) ).
tff(f6352,plain,
( spl11_232
<=> ! [X0: $int] :
( $less(X0,0)
| $less($sum(sF10,$sum(sF10,X0)),0)
| ~ $less(X0,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_232])]) ).
tff(f2555,plain,
( ! [X0: $int] :
( ~ $less($sum(sK1,sK1),0)
| $less(X0,0)
| ~ $less(X0,sK1)
| $less($sum(sF10,$sum(sF10,X0)),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f2554,f49]) ).
tff(f2554,plain,
( ! [X0: $int] :
( $less($sum(sF10,$sum(sF10,X0)),0)
| ~ $less(X0,sK1)
| $less(X0,0)
| ~ $less($sum(sK1,$sum(sK1,0)),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(subsumption_resolution,[],[f2541,f1395]) ).
tff(f2541,plain,
( ! [X0: $int] :
( ~ $less($sum(sK1,$sum(sK1,0)),0)
| ~ $less(X0,sK1)
| $less($sum(sF10,$sum(sF10,X0)),0)
| $less($sum(sF10,X0),0)
| $less(X0,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(duplicate_literal_removal,[],[f2532]) ).
tff(f2532,plain,
( ! [X0: $int] :
( $less(X0,0)
| $less($sum(sF10,X0),0)
| ~ $less($sum(sK1,$sum(sK1,0)),0)
| ~ $less(X0,sK1)
| $less($sum(sF10,$sum(sF10,X0)),0)
| $less(X0,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1260,f156]) ).
tff(f6336,plain,
( spl11_231
| ~ spl11_136
| ~ spl11_187 ),
inference(avatar_split_clause,[],[f6331,f4737,f2701,f6334]) ).
tff(f6331,plain,
( $less(2,sK0)
| ~ spl11_136
| ~ spl11_187 ),
inference(resolution,[],[f2707,f4738]) ).
tff(f6217,plain,
( spl11_229
| spl11_230
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_187 ),
inference(avatar_split_clause,[],[f6139,f4737,f982,f264,f191,f6215,f6212]) ).
tff(f6212,plain,
( spl11_229
<=> $less(2,sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_229])]) ).
tff(f6215,plain,
( spl11_230
<=> $less(-2,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_230])]) ).
tff(f6139,plain,
( $less(-2,sK2)
| $less(2,sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_187 ),
inference(evaluation,[],[f6138]) ).
tff(f6138,plain,
( ( 2 = $uminus(2) )
| $less(2,sF10)
| ( 0 = 2 )
| $less($uminus(2),sK2)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_187 ),
inference(resolution,[],[f4741,f4543]) ).
tff(f4543,plain,
( ! [X0: $int] :
( $less($uminus(X0),X0)
| ( $uminus(X0) = X0 )
| ( 0 = X0 )
| $less(X0,sF10) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(resolution,[],[f4529,f54]) ).
tff(f4529,plain,
( ! [X0: $int] :
( ~ $less(X0,$uminus(X0))
| ( 0 = X0 )
| $less(X0,sF10) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f4427,f57]) ).
tff(f6210,plain,
( spl11_227
| spl11_228
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_225 ),
inference(avatar_split_clause,[],[f6202,f6196,f982,f264,f191,f6208,f6205]) ).
tff(f6205,plain,
( spl11_227
<=> $less($sum(sK1,sK1),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_227])]) ).
tff(f6202,plain,
( ( 0 = $sum(sK1,sK1) )
| $less($sum(sK1,sK1),sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_225 ),
inference(resolution,[],[f6197,f1426]) ).
tff(f6197,plain,
( ~ $less(0,$sum(sK1,sK1))
| spl11_225 ),
inference(avatar_component_clause,[],[f6196]) ).
tff(f6201,plain,
( ~ spl11_225
| spl11_226
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f2482,f982,f264,f191,f6199,f6196]) ).
tff(f2482,plain,
( ! [X0: $int] :
( ~ $less(X0,sK1)
| ~ $less(0,$sum(sK1,sK1))
| $less(X0,0)
| $less(0,$sum(sF10,$sum(sF10,X0))) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f2481,f49]) ).
tff(f2481,plain,
( ! [X0: $int] :
( $less(X0,0)
| ~ $less(X0,sK1)
| $less(0,$sum(sF10,$sum(sF10,X0)))
| ~ $less(0,$sum(sK1,$sum(sK1,0))) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(subsumption_resolution,[],[f2469,f1395]) ).
tff(f2469,plain,
( ! [X0: $int] :
( $less(X0,0)
| $less($sum(sF10,X0),0)
| ~ $less(0,$sum(sK1,$sum(sK1,0)))
| $less(0,$sum(sF10,$sum(sF10,X0)))
| ~ $less(X0,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(duplicate_literal_removal,[],[f2460]) ).
tff(f2460,plain,
( ! [X0: $int] :
( ~ $less(X0,sK1)
| ~ $less(0,$sum(sK1,$sum(sK1,0)))
| $less($sum(sF10,X0),0)
| $less(0,$sum(sF10,$sum(sF10,X0)))
| $less(X0,0)
| $less(X0,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1248,f156]) ).
tff(f6184,plain,
( spl11_223
| spl11_224
| spl11_107
| ~ spl11_142
| ~ spl11_219 ),
inference(avatar_split_clause,[],[f6176,f5613,f2953,f1792,f6182,f6179]) ).
tff(f6179,plain,
( spl11_223
<=> ( $sum(sK2,div1(mod1(sK2,2),2)) = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_223])]) ).
tff(f6182,plain,
( spl11_224
<=> $less(mod1(sK2,2),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_224])]) ).
tff(f2953,plain,
( spl11_142
<=> ( div1(sK2,2) = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_142])]) ).
tff(f5613,plain,
( spl11_219
<=> ( sK2 = $sum($product(2,sK2),mod1(sK2,2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_219])]) ).
tff(f6176,plain,
( $less(mod1(sK2,2),0)
| ( $sum(sK2,div1(mod1(sK2,2),2)) = sK2 )
| spl11_107
| ~ spl11_142
| ~ spl11_219 ),
inference(forward_demodulation,[],[f6175,f2954]) ).
tff(f2954,plain,
( ( div1(sK2,2) = sK2 )
| ~ spl11_142 ),
inference(avatar_component_clause,[],[f2953]) ).
tff(f6175,plain,
( $less(mod1(sK2,2),0)
| ( div1(sK2,2) = $sum(sK2,div1(mod1(sK2,2),2)) )
| spl11_107
| ~ spl11_219 ),
inference(subsumption_resolution,[],[f6174,f1793]) ).
tff(f6174,plain,
( $less(mod1(sK2,2),0)
| $less(sK2,0)
| ( div1(sK2,2) = $sum(sK2,div1(mod1(sK2,2),2)) )
| ~ spl11_219 ),
inference(evaluation,[],[f6168]) ).
tff(f6168,plain,
( ~ $less(0,2)
| $less(mod1(sK2,2),0)
| ( div1(sK2,2) = $sum(sK2,div1(mod1(sK2,2),2)) )
| $less(sK2,0)
| ~ spl11_219 ),
inference(superposition,[],[f151,f5614]) ).
tff(f5614,plain,
( ( sK2 = $sum($product(2,sK2),mod1(sK2,2)) )
| ~ spl11_219 ),
inference(avatar_component_clause,[],[f5613]) ).
tff(f6144,plain,
( spl11_219
| ~ spl11_18
| ~ spl11_130 ),
inference(avatar_split_clause,[],[f5470,f2590,f260,f5613]) ).
tff(f2590,plain,
( spl11_130
<=> ( sF8 = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_130])]) ).
tff(f5470,plain,
( ( sK2 = $sum($product(2,sK2),mod1(sK2,2)) )
| ~ spl11_18
| ~ spl11_130 ),
inference(forward_demodulation,[],[f4671,f2591]) ).
tff(f2591,plain,
( ( sF8 = sK2 )
| ~ spl11_130 ),
inference(avatar_component_clause,[],[f2590]) ).
tff(f4671,plain,
( ( sF8 = $sum($product(2,sK2),mod1(sF8,2)) )
| ~ spl11_18 ),
inference(evaluation,[],[f4664]) ).
tff(f4664,plain,
( ( sF8 = $sum($product(2,sK2),mod1(sF8,2)) )
| ( 0 = 2 )
| ~ spl11_18 ),
inference(superposition,[],[f128,f261]) ).
tff(f6106,plain,
( spl11_222
| ~ spl11_174
| ~ spl11_179 ),
inference(avatar_split_clause,[],[f6075,f4358,f4212,f6104]) ).
tff(f6075,plain,
( $less($uminus(sF4),sF7)
| ~ spl11_174
| ~ spl11_179 ),
inference(resolution,[],[f4486,f4213]) ).
tff(f6102,plain,
( spl11_221
| ~ spl11_68
| ~ spl11_179 ),
inference(avatar_split_clause,[],[f6072,f4358,f1173,f6100]) ).
tff(f6072,plain,
( $less($uminus(sF10),sF7)
| ~ spl11_68
| ~ spl11_179 ),
inference(resolution,[],[f4486,f1174]) ).
tff(f6069,plain,
( spl11_64
| spl11_171
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(avatar_split_clause,[],[f5245,f1276,f982,f264,f191,f4141,f1158]) ).
tff(f5245,plain,
( ! [X1: $int] :
( $less($product(X1,sK1),0)
| ( mod1(sF10,sK1) = mod1(0,sK1) )
| $less(X1,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(duplicate_literal_removal,[],[f5223]) ).
tff(f5223,plain,
( ! [X1: $int] :
( $less(X1,0)
| $less($product(X1,sK1),0)
| $less(X1,0)
| ( mod1(sF10,sK1) = mod1(0,sK1) )
| $less($product(X1,sK1),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(superposition,[],[f1941,f1892]) ).
tff(f1941,plain,
( ! [X1: $int] :
( ( mod1(sF10,sK1) = mod1($product(X1,sK1),sK1) )
| $less(X1,0)
| $less($product(X1,sK1),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(superposition,[],[f1923,f58]) ).
tff(f1923,plain,
( ! [X0: $int] :
( ( mod1(sF10,sK1) = mod1($product(sK1,X0),sK1) )
| $less(X0,0)
| $less($product(sK1,X0),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(subsumption_resolution,[],[f1193,f1277]) ).
tff(f1193,plain,
( ! [X0: $int] :
( $less(X0,0)
| $less(sF10,0)
| ( mod1(sF10,sK1) = mod1($product(sK1,X0),sK1) )
| $less($product(sK1,X0),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(subsumption_resolution,[],[f1183,f192]) ).
tff(f1183,plain,
( ! [X0: $int] :
( ~ $less(0,sK1)
| $less(sF10,0)
| $less($product(sK1,X0),0)
| $less(X0,0)
| ( mod1(sF10,sK1) = mod1($product(sK1,X0),sK1) ) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f147,f1130]) ).
tff(f6068,plain,
( spl11_64
| spl11_171
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(avatar_split_clause,[],[f5239,f1276,f982,f264,f191,f4141,f1158]) ).
tff(f5239,plain,
( ! [X0: $int] :
( $less(X0,0)
| $less($product(X0,sK1),0)
| ( mod1(sF10,sK1) = mod1(0,sK1) ) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(duplicate_literal_removal,[],[f5228]) ).
tff(f5228,plain,
( ! [X0: $int] :
( $less($product(X0,sK1),0)
| $less(X0,0)
| $less(X0,0)
| $less($product(X0,sK1),0)
| ( mod1(sF10,sK1) = mod1(0,sK1) ) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(superposition,[],[f1892,f1941]) ).
tff(f6067,plain,
( spl11_64
| spl11_171
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(avatar_split_clause,[],[f5190,f1276,f982,f264,f191,f4141,f1158]) ).
tff(f5190,plain,
( ! [X0: $int] :
( $less($product(X0,sK1),0)
| $less(X0,0)
| ( mod1(sF10,sK1) = mod1(0,sK1) ) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(duplicate_literal_removal,[],[f5173]) ).
tff(f5173,plain,
( ! [X0: $int] :
( $less(X0,0)
| $less($product(X0,sK1),0)
| $less(X0,0)
| ( mod1(sF10,sK1) = mod1(0,sK1) )
| $less($product(X0,sK1),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(superposition,[],[f1892,f1940]) ).
tff(f1940,plain,
( ! [X0: $int] :
( ( mod1(sF10,sK1) = mod1($product(X0,sK1),sK1) )
| $less($product(X0,sK1),0)
| $less(X0,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(superposition,[],[f1923,f58]) ).
tff(f6066,plain,
( spl11_64
| spl11_171
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(avatar_split_clause,[],[f5186,f1276,f982,f264,f191,f4141,f1158]) ).
tff(f5186,plain,
( ! [X1: $int] :
( $less($product(X1,sK1),0)
| ( mod1(sF10,sK1) = mod1(0,sK1) )
| $less(X1,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(duplicate_literal_removal,[],[f5168]) ).
tff(f5168,plain,
( ! [X1: $int] :
( $less(X1,0)
| ( mod1(sF10,sK1) = mod1(0,sK1) )
| $less($product(X1,sK1),0)
| $less(X1,0)
| $less($product(X1,sK1),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(superposition,[],[f1940,f1892]) ).
tff(f5976,plain,
( spl11_219
| ~ spl11_18
| ~ spl11_130 ),
inference(avatar_split_clause,[],[f5313,f2590,f260,f5613]) ).
tff(f5313,plain,
( ( sK2 = $sum($product(2,sK2),mod1(sK2,2)) )
| ~ spl11_18
| ~ spl11_130 ),
inference(forward_demodulation,[],[f3523,f2591]) ).
tff(f3523,plain,
( ( sF8 = $sum($product(2,sK2),mod1(sF8,2)) )
| ~ spl11_18 ),
inference(evaluation,[],[f3515]) ).
tff(f3515,plain,
( ( 0 = 2 )
| ( sF8 = $sum($product(2,sK2),mod1(sF8,2)) )
| ~ spl11_18 ),
inference(superposition,[],[f128,f261]) ).
tff(f5948,plain,
( spl11_219
| ~ spl11_99
| ~ spl11_130 ),
inference(avatar_split_clause,[],[f5162,f2590,f1585,f5613]) ).
tff(f5162,plain,
( ( sK2 = $sum($product(2,sK2),mod1(sK2,2)) )
| ~ spl11_99
| ~ spl11_130 ),
inference(forward_demodulation,[],[f1586,f2591]) ).
tff(f5947,plain,
( spl11_65
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f5907,f982,f264,f191,f1162]) ).
tff(f5907,plain,
( ( $sum(sK1,div1(0,sK1)) = div1(sF10,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(evaluation,[],[f5853]) ).
tff(f5853,plain,
( $less(0,0)
| ( $sum(sK1,div1(0,sK1)) = div1($uminus($uminus(sF10)),sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f2092,f267]) ).
tff(f2092,plain,
( ! [X5: $int] :
( ( div1(X5,sK1) = $sum(sK1,div1($sum(X5,$uminus(sF10)),sK1)) )
| $less($sum(X5,$uminus(sF10)),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f2054,f49]) ).
tff(f2054,plain,
( ! [X5: $int] :
( ( div1($sum(X5,0),sK1) = $sum(sK1,div1($sum(X5,$uminus(sF10)),sK1)) )
| $less($sum(X5,$uminus(sF10)),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1210,f267]) ).
tff(f5946,plain,
( spl11_65
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f5898,f982,f264,f191,f1162]) ).
tff(f5898,plain,
( ( $sum(sK1,div1(0,sK1)) = div1(sF10,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(evaluation,[],[f5848]) ).
tff(f5848,plain,
( $less(0,0)
| ( $sum(sK1,div1(0,sK1)) = div1(sF10,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f2092,f51]) ).
tff(f5781,plain,
( spl11_220
| ~ spl11_186 ),
inference(avatar_split_clause,[],[f5737,f4732,f5779]) ).
tff(f5779,plain,
( spl11_220
<=> ( sF7 = $sum(sK2,$uminus(sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_220])]) ).
tff(f4732,plain,
( spl11_186
<=> ( $sum(sF7,sK1) = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_186])]) ).
tff(f5737,plain,
( ( sF7 = $sum(sK2,$uminus(sK1)) )
| ~ spl11_186 ),
inference(forward_demodulation,[],[f5718,f49]) ).
tff(f5718,plain,
( ( $sum(sF7,0) = $sum(sK2,$uminus(sK1)) )
| ~ spl11_186 ),
inference(superposition,[],[f4744,f51]) ).
tff(f4744,plain,
( ! [X0: $int] : ( $sum(sF7,$sum(sK1,X0)) = $sum(sK2,X0) )
| ~ spl11_186 ),
inference(superposition,[],[f48,f4733]) ).
tff(f4733,plain,
( ( $sum(sF7,sK1) = sK2 )
| ~ spl11_186 ),
inference(avatar_component_clause,[],[f4732]) ).
tff(f5702,plain,
( spl11_190
| ~ spl11_46
| ~ spl11_195 ),
inference(avatar_split_clause,[],[f5605,f4876,f852,f4762]) ).
tff(f5605,plain,
( $less($uminus(sF4),sF3)
| ~ spl11_46
| ~ spl11_195 ),
inference(resolution,[],[f860,f4877]) ).
tff(f5615,plain,
( spl11_219
| ~ spl11_142 ),
inference(avatar_split_clause,[],[f4692,f2953,f5613]) ).
tff(f4692,plain,
( ( sK2 = $sum($product(2,sK2),mod1(sK2,2)) )
| ~ spl11_142 ),
inference(evaluation,[],[f4686]) ).
tff(f4686,plain,
( ( 0 = 2 )
| ( sK2 = $sum($product(2,sK2),mod1(sK2,2)) )
| ~ spl11_142 ),
inference(superposition,[],[f128,f2954]) ).
tff(f5611,plain,
( spl11_218
| ~ spl11_46
| ~ spl11_75 ),
inference(avatar_split_clause,[],[f5602,f1295,f852,f5609]) ).
tff(f5602,plain,
( $less($uminus(sF10),sF3)
| ~ spl11_46
| ~ spl11_75 ),
inference(resolution,[],[f860,f1296]) ).
tff(f5471,plain,
( spl11_212
| ~ spl11_213
| spl11_214
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(avatar_split_clause,[],[f4959,f3897,f1726,f856,f239,f5406,f5403,f5400]) ).
tff(f5400,plain,
( spl11_212
<=> ( mod1(0,sF3) = $sum(sF4,sF4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_212])]) ).
tff(f5403,plain,
( spl11_213
<=> $less($sum(sF4,sF4),sF3) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_213])]) ).
tff(f5406,plain,
( spl11_214
<=> $less($sum(sF4,sF4),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_214])]) ).
tff(f4959,plain,
( $less($sum(sF4,sF4),0)
| ~ $less($sum(sF4,sF4),sF3)
| ( mod1(0,sF3) = $sum(sF4,sF4) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(subsumption_resolution,[],[f4955,f3898]) ).
tff(f4955,plain,
( $less($sum(sF4,sF4),0)
| ~ $less($sum(sF4,sF4),sF3)
| $less(sF4,0)
| ( mod1(0,sF3) = $sum(sF4,sF4) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(evaluation,[],[f4943]) ).
tff(f4943,plain,
( $less($sum(sF4,sF4),0)
| ( mod1(0,sF3) = $sum(sF4,sF4) )
| $less(0,0)
| ~ $less($sum(sF4,sF4),sF3)
| $less(sF4,0)
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f4284,f274]) ).
tff(f4284,plain,
( ! [X3: $int] :
( ( $sum(sF4,$sum(X3,sF4)) = mod1(X3,sF3) )
| $less(X3,0)
| $less($sum(X3,sF4),0)
| ~ $less($sum(sF4,$sum(X3,sF4)),sF3)
| $less($sum(sF4,$sum(X3,sF4)),0) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f4188,f4186]) ).
tff(f5438,plain,
( ~ spl11_217
| spl11_215 ),
inference(avatar_split_clause,[],[f5432,f5421,f5436]) ).
tff(f5421,plain,
( spl11_215
<=> $less(sK2,abs1($product(2,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_215])]) ).
tff(f5432,plain,
( ~ $less(sK2,$product(2,sK2))
| spl11_215 ),
inference(resolution,[],[f5422,f149]) ).
tff(f5422,plain,
( ~ $less(sK2,abs1($product(2,sK2)))
| spl11_215 ),
inference(avatar_component_clause,[],[f5421]) ).
tff(f5431,plain,
( ~ spl11_216
| spl11_72
| ~ spl11_130 ),
inference(avatar_split_clause,[],[f5417,f2590,f1235,f5426]) ).
tff(f5417,plain,
( ~ $less(abs1(sK2),$product(2,sK2))
| spl11_72
| ~ spl11_130 ),
inference(forward_demodulation,[],[f3771,f2591]) ).
tff(f3771,plain,
( ~ $less(abs1(sF8),$product(2,sK2))
| spl11_72 ),
inference(resolution,[],[f1236,f149]) ).
tff(f5430,plain,
( ~ spl11_216
| spl11_129
| ~ spl11_130 ),
inference(avatar_split_clause,[],[f5297,f2590,f2492,f5426]) ).
tff(f5297,plain,
( ~ $less(abs1(sK2),$product(2,sK2))
| spl11_129
| ~ spl11_130 ),
inference(forward_demodulation,[],[f2493,f2591]) ).
tff(f5429,plain,
( ~ spl11_215
| spl11_107
| spl11_144 ),
inference(avatar_split_clause,[],[f4908,f3082,f1792,f5421]) ).
tff(f3082,plain,
( spl11_144
<=> $less(abs1(sK2),abs1($product(2,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_144])]) ).
tff(f4908,plain,
( ~ $less(sK2,abs1($product(2,sK2)))
| spl11_107
| spl11_144 ),
inference(subsumption_resolution,[],[f4906,f1793]) ).
tff(f4906,plain,
( $less(sK2,0)
| ~ $less(sK2,abs1($product(2,sK2)))
| spl11_144 ),
inference(superposition,[],[f3083,f126]) ).
tff(f3083,plain,
( ~ $less(abs1(sK2),abs1($product(2,sK2)))
| spl11_144 ),
inference(avatar_component_clause,[],[f3082]) ).
tff(f5428,plain,
( ~ spl11_216
| spl11_144 ),
inference(avatar_split_clause,[],[f4904,f3082,f5426]) ).
tff(f4904,plain,
( ~ $less(abs1(sK2),$product(2,sK2))
| spl11_144 ),
inference(resolution,[],[f3083,f149]) ).
tff(f5423,plain,
( ~ spl11_215
| spl11_61
| spl11_72
| ~ spl11_130 ),
inference(avatar_split_clause,[],[f5418,f2590,f1235,f1094,f5421]) ).
tff(f5418,plain,
( ~ $less(sK2,abs1($product(2,sK2)))
| spl11_61
| spl11_72
| ~ spl11_130 ),
inference(forward_demodulation,[],[f3775,f2591]) ).
tff(f5414,plain,
( spl11_172
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(avatar_split_clause,[],[f5398,f3897,f1726,f856,f239,f4205]) ).
tff(f5398,plain,
( ( mod1(sF4,sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(subsumption_resolution,[],[f5397,f3898]) ).
tff(f5397,plain,
( $less(sF4,0)
| ( mod1(sF4,sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(subsumption_resolution,[],[f5371,f3891]) ).
tff(f5371,plain,
( $less(sF3,0)
| $less(sF4,0)
| ( mod1(sF4,sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(superposition,[],[f4586,f240]) ).
tff(f5409,plain,
( spl11_172
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(avatar_split_clause,[],[f5363,f3897,f1726,f856,f239,f4205]) ).
tff(f5363,plain,
( ( mod1(sF4,sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(subsumption_resolution,[],[f5362,f3898]) ).
tff(f5362,plain,
( ( mod1(sF4,sF3) = mod1(0,sF3) )
| $less(sF4,0)
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(forward_demodulation,[],[f5361,f240]) ).
tff(f5361,plain,
( $less($product(sF3,sF3),0)
| ( mod1(sF4,sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(subsumption_resolution,[],[f5343,f3891]) ).
tff(f5343,plain,
( $less(sF3,0)
| ( mod1(sF4,sF3) = mod1(0,sF3) )
| $less($product(sF3,sF3),0)
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(duplicate_literal_removal,[],[f5333]) ).
tff(f5333,plain,
( $less($product(sF3,sF3),0)
| $less($product(sF3,sF3),0)
| $less(sF3,0)
| $less(sF3,0)
| ( mod1(sF4,sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(superposition,[],[f4582,f4551]) ).
tff(f5408,plain,
( spl11_212
| ~ spl11_213
| spl11_214
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(avatar_split_clause,[],[f4873,f3897,f1726,f856,f239,f5406,f5403,f5400]) ).
tff(f4873,plain,
( $less($sum(sF4,sF4),0)
| ~ $less($sum(sF4,sF4),sF3)
| ( mod1(0,sF3) = $sum(sF4,sF4) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(subsumption_resolution,[],[f4865,f3898]) ).
tff(f4865,plain,
( ( mod1(0,sF3) = $sum(sF4,sF4) )
| $less($sum(sF4,sF4),0)
| ~ $less($sum(sF4,sF4),sF3)
| $less(sF4,0)
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(evaluation,[],[f4852]) ).
tff(f4852,plain,
( ( mod1(0,sF3) = $sum(sF4,sF4) )
| $less(sF4,0)
| $less($sum(sF4,sF4),0)
| $less(0,0)
| ~ $less($sum(sF4,sF4),sF3)
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f4283,f49]) ).
tff(f4283,plain,
( ! [X2: $int] :
( ( mod1(X2,sF3) = $sum(sF4,$sum(sF4,X2)) )
| $less(X2,0)
| $less($sum(sF4,$sum(sF4,X2)),0)
| ~ $less($sum(sF4,$sum(sF4,X2)),sF3)
| $less($sum(sF4,X2),0) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f4188,f4180]) ).
tff(f5367,plain,
( ~ spl11_208
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170
| spl11_205 ),
inference(avatar_split_clause,[],[f5365,f5125,f3897,f1726,f856,f239,f5138]) ).
tff(f5365,plain,
( ~ $less(mod1(0,sF3),0)
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170
| spl11_205 ),
inference(backward_demodulation,[],[f5126,f5360]) ).
tff(f5360,plain,
( ( mod1(sF4,sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(subsumption_resolution,[],[f5359,f3898]) ).
tff(f5359,plain,
( $less(sF4,0)
| ( mod1(sF4,sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(forward_demodulation,[],[f5358,f240]) ).
tff(f5358,plain,
( ( mod1(sF4,sF3) = mod1(0,sF3) )
| $less($product(sF3,sF3),0)
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(subsumption_resolution,[],[f5344,f3891]) ).
tff(f5344,plain,
( $less(sF3,0)
| ( mod1(sF4,sF3) = mod1(0,sF3) )
| $less($product(sF3,sF3),0)
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(duplicate_literal_removal,[],[f5329]) ).
tff(f5329,plain,
( $less(sF3,0)
| $less(sF3,0)
| $less($product(sF3,sF3),0)
| $less($product(sF3,sF3),0)
| ( mod1(sF4,sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(superposition,[],[f4551,f4582]) ).
tff(f5126,plain,
( ~ $less(mod1(sF4,sF3),0)
| spl11_205 ),
inference(avatar_component_clause,[],[f5125]) ).
tff(f5366,plain,
( spl11_172
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(avatar_split_clause,[],[f5360,f3897,f1726,f856,f239,f4205]) ).
tff(f5325,plain,
( ~ spl11_211
| spl11_210
| spl11_167
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(avatar_split_clause,[],[f3071,f1276,f982,f264,f191,f3884,f5319,f5322]) ).
tff(f5322,plain,
( spl11_211
<=> $less($sum(sF10,sF10),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_211])]) ).
tff(f5319,plain,
( spl11_210
<=> ( $sum(sF10,sF10) = mod1(0,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_210])]) ).
tff(f3071,plain,
( $less($sum(sF10,sF10),0)
| ( $sum(sF10,sF10) = mod1(0,sK1) )
| ~ $less($sum(sF10,sF10),sK1)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(subsumption_resolution,[],[f3063,f1277]) ).
tff(f3063,plain,
( $less($sum(sF10,sF10),0)
| ( $sum(sF10,sF10) = mod1(0,sK1) )
| $less(sF10,0)
| ~ $less($sum(sF10,sF10),sK1)
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(evaluation,[],[f3037]) ).
tff(f3037,plain,
( $less(0,0)
| $less(sF10,0)
| ~ $less($sum(sF10,sF10),sK1)
| ( $sum(sF10,sF10) = mod1(0,sK1) )
| $less($sum(sF10,sF10),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1372,f274]) ).
tff(f1372,plain,
( ! [X3: $int] :
( ( $sum(sF10,$sum(X3,sF10)) = mod1(X3,sK1) )
| $less($sum(sF10,$sum(X3,sF10)),0)
| $less($sum(X3,sF10),0)
| $less(X3,0)
| ~ $less($sum(sF10,$sum(X3,sF10)),sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1132,f1130]) ).
tff(f5324,plain,
( spl11_210
| ~ spl11_211
| spl11_167
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(avatar_split_clause,[],[f3012,f1276,f982,f264,f191,f3884,f5322,f5319]) ).
tff(f3012,plain,
( $less($sum(sF10,sF10),0)
| ~ $less($sum(sF10,sF10),sK1)
| ( $sum(sF10,sF10) = mod1(0,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(subsumption_resolution,[],[f2995,f1277]) ).
tff(f2995,plain,
( $less($sum(sF10,sF10),0)
| $less(sF10,0)
| ~ $less($sum(sF10,sF10),sK1)
| ( $sum(sF10,sF10) = mod1(0,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(evaluation,[],[f2973]) ).
tff(f2973,plain,
( $less($sum(sF10,sF10),0)
| ~ $less($sum(sF10,sF10),sK1)
| $less(0,0)
| $less(sF10,0)
| ( $sum(sF10,sF10) = mod1(0,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1371,f49]) ).
tff(f1371,plain,
( ! [X2: $int] :
( ( $sum(sF10,$sum(sF10,X2)) = mod1(X2,sK1) )
| ~ $less($sum(sF10,$sum(sF10,X2)),sK1)
| $less($sum(sF10,X2),0)
| $less(X2,0)
| $less($sum(sF10,$sum(sF10,X2)),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1132,f1116]) ).
tff(f5263,plain,
( spl11_64
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(avatar_split_clause,[],[f5253,f1276,f982,f264,f191,f1158]) ).
tff(f5253,plain,
( ( mod1(sF10,sK1) = mod1(0,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(subsumption_resolution,[],[f5252,f1277]) ).
tff(f5252,plain,
( ( mod1(sF10,sK1) = mod1(0,sK1) )
| $less(sF10,0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(forward_demodulation,[],[f5251,f265]) ).
tff(f5251,plain,
( $less($product(sK1,sK1),0)
| ( mod1(sF10,sK1) = mod1(0,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(subsumption_resolution,[],[f5246,f983]) ).
tff(f5246,plain,
( $less(sK1,0)
| $less($product(sK1,sK1),0)
| ( mod1(sF10,sK1) = mod1(0,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(duplicate_literal_removal,[],[f5222]) ).
tff(f5222,plain,
( ( mod1(sF10,sK1) = mod1(0,sK1) )
| $less($product(sK1,sK1),0)
| $less(sK1,0)
| $less(sK1,0)
| $less($product(sK1,sK1),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(superposition,[],[f1941,f1858]) ).
tff(f5262,plain,
( spl11_64
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(avatar_split_clause,[],[f5250,f1276,f982,f264,f191,f1158]) ).
tff(f5250,plain,
( ( mod1(sF10,sK1) = mod1(0,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(subsumption_resolution,[],[f5249,f1277]) ).
tff(f5249,plain,
( $less(sF10,0)
| ( mod1(sF10,sK1) = mod1(0,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(forward_demodulation,[],[f5248,f265]) ).
tff(f5248,plain,
( $less($product(sK1,sK1),0)
| ( mod1(sF10,sK1) = mod1(0,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(subsumption_resolution,[],[f5247,f983]) ).
tff(f5247,plain,
( $less(sK1,0)
| $less($product(sK1,sK1),0)
| ( mod1(sF10,sK1) = mod1(0,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(duplicate_literal_removal,[],[f5227]) ).
tff(f5227,plain,
( ( mod1(sF10,sK1) = mod1(0,sK1) )
| $less($product(sK1,sK1),0)
| $less($product(sK1,sK1),0)
| $less(sK1,0)
| $less(sK1,0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(superposition,[],[f1858,f1941]) ).
tff(f5214,plain,
( spl11_64
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(avatar_split_clause,[],[f5202,f1276,f982,f264,f191,f1158]) ).
tff(f5202,plain,
( ( mod1(sF10,sK1) = mod1(0,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(subsumption_resolution,[],[f5201,f1277]) ).
tff(f5201,plain,
( ( mod1(sF10,sK1) = mod1(0,sK1) )
| $less(sF10,0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(forward_demodulation,[],[f5200,f265]) ).
tff(f5200,plain,
( $less($product(sK1,sK1),0)
| ( mod1(sF10,sK1) = mod1(0,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(subsumption_resolution,[],[f5183,f983]) ).
tff(f5183,plain,
( ( mod1(sF10,sK1) = mod1(0,sK1) )
| $less($product(sK1,sK1),0)
| $less(sK1,0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(duplicate_literal_removal,[],[f5167]) ).
tff(f5167,plain,
( $less($product(sK1,sK1),0)
| $less($product(sK1,sK1),0)
| $less(sK1,0)
| $less(sK1,0)
| ( mod1(sF10,sK1) = mod1(0,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(superposition,[],[f1940,f1858]) ).
tff(f5211,plain,
( ~ spl11_209
| spl11_107
| ~ spl11_186 ),
inference(avatar_split_clause,[],[f5158,f4732,f1792,f5209]) ).
tff(f5158,plain,
( ~ $less(sF7,$uminus(sK1))
| spl11_107
| ~ spl11_186 ),
inference(subsumption_resolution,[],[f5155,f1793]) ).
tff(f5155,plain,
( ~ $less(sF7,$uminus(sK1))
| $less(sK2,0)
| ~ spl11_186 ),
inference(superposition,[],[f4746,f267]) ).
tff(f4746,plain,
( ! [X2: $int] :
( $less(sK2,$sum(X2,sK1))
| ~ $less(sF7,X2) )
| ~ spl11_186 ),
inference(superposition,[],[f55,f4733]) ).
tff(f5207,plain,
( spl11_64
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(avatar_split_clause,[],[f5198,f1276,f982,f264,f191,f1158]) ).
tff(f5198,plain,
( ( mod1(sF10,sK1) = mod1(0,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(subsumption_resolution,[],[f5197,f1277]) ).
tff(f5197,plain,
( $less(sF10,0)
| ( mod1(sF10,sK1) = mod1(0,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(forward_demodulation,[],[f5196,f265]) ).
tff(f5196,plain,
( $less($product(sK1,sK1),0)
| ( mod1(sF10,sK1) = mod1(0,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(subsumption_resolution,[],[f5184,f983]) ).
tff(f5184,plain,
( $less(sK1,0)
| ( mod1(sF10,sK1) = mod1(0,sK1) )
| $less($product(sK1,sK1),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(duplicate_literal_removal,[],[f5172]) ).
tff(f5172,plain,
( $less($product(sK1,sK1),0)
| $less($product(sK1,sK1),0)
| $less(sK1,0)
| $less(sK1,0)
| ( mod1(sF10,sK1) = mod1(0,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(superposition,[],[f1858,f1940]) ).
tff(f5161,plain,
( spl11_189
| spl11_193
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_203 ),
inference(avatar_split_clause,[],[f5142,f5008,f982,f264,f191,f4793,f4759]) ).
tff(f5142,plain,
( $less($uminus(sF4),sF10)
| ( 0 = $uminus(sF4) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_203 ),
inference(resolution,[],[f5009,f4427]) ).
tff(f5160,plain,
( spl11_193
| spl11_169
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_203 ),
inference(avatar_split_clause,[],[f5143,f5008,f982,f264,f191,f3894,f4793]) ).
tff(f5143,plain,
( ( 0 = sF4 )
| $less($uminus(sF4),sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_203 ),
inference(resolution,[],[f5009,f3902]) ).
tff(f5140,plain,
( ~ spl11_208
| spl11_154
| spl11_206
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(avatar_split_clause,[],[f4602,f3897,f1726,f856,f239,f5128,f3454,f5138]) ).
tff(f4602,plain,
( ! [X3: $int] :
( $less(X3,0)
| $less($product(sF3,X3),0)
| ( 0 = sF3 )
| ~ $less(mod1(0,sF3),0) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(duplicate_literal_removal,[],[f4594]) ).
tff(f4594,plain,
( ! [X3: $int] :
( $less(X3,0)
| $less($product(sF3,X3),0)
| ( 0 = sF3 )
| ~ $less(mod1(0,sF3),0)
| $less($product(sF3,X3),0) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(superposition,[],[f163,f4582]) ).
tff(f5136,plain,
( spl11_154
| spl11_207
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(avatar_split_clause,[],[f5109,f1726,f856,f239,f5134,f3454]) ).
tff(f5109,plain,
( ! [X4: $int] :
( ~ $less(mod1(X4,sF3),0)
| ( 0 = sF3 )
| $less($sum(X4,$uminus(sF4)),0) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(duplicate_literal_removal,[],[f5102]) ).
tff(f5102,plain,
( ! [X4: $int] :
( $less($sum(X4,$uminus(sF4)),0)
| $less($sum(X4,$uminus(sF4)),0)
| ~ $less(mod1(X4,sF3),0)
| ( 0 = sF3 ) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f163,f4414]) ).
tff(f5132,plain,
( spl11_172
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(avatar_split_clause,[],[f5115,f1726,f856,f239,f4205]) ).
tff(f5115,plain,
( ( mod1(sF4,sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(evaluation,[],[f5090]) ).
tff(f5090,plain,
( $less(0,0)
| ( mod1($uminus($uminus(sF4)),sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f4414,f267]) ).
tff(f5131,plain,
( spl11_172
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(avatar_split_clause,[],[f5111,f1726,f856,f239,f4205]) ).
tff(f5111,plain,
( ( mod1(sF4,sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(evaluation,[],[f5085]) ).
tff(f5085,plain,
( ( mod1(sF4,sF3) = mod1(0,sF3) )
| $less(0,0)
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f4414,f51]) ).
tff(f5130,plain,
( ~ spl11_205
| spl11_154
| spl11_206
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(avatar_split_clause,[],[f4570,f3897,f1726,f856,f239,f5128,f3454,f5125]) ).
tff(f4570,plain,
( ! [X3: $int] :
( $less($product(sF3,X3),0)
| ( 0 = sF3 )
| ~ $less(mod1(sF4,sF3),0)
| $less(X3,0) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(duplicate_literal_removal,[],[f4559]) ).
tff(f4559,plain,
( ! [X3: $int] :
( $less($product(sF3,X3),0)
| ~ $less(mod1(sF4,sF3),0)
| $less(X3,0)
| $less($product(sF3,X3),0)
| ( 0 = sF3 ) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(superposition,[],[f163,f4492]) ).
tff(f5123,plain,
( spl11_193
| ~ spl11_10
| ~ spl11_199 ),
inference(avatar_split_clause,[],[f4989,f4919,f224,f4793]) ).
tff(f4989,plain,
( $less($uminus(sF4),sF10)
| ~ spl11_10
| ~ spl11_199 ),
inference(resolution,[],[f4920,f362]) ).
tff(f5014,plain,
( spl11_204
| ~ spl11_8
| ~ spl11_199 ),
inference(avatar_split_clause,[],[f4988,f4919,f215,f5012]) ).
tff(f4988,plain,
( $less($uminus(sF4),sF6)
| ~ spl11_8
| ~ spl11_199 ),
inference(resolution,[],[f4920,f361]) ).
tff(f5010,plain,
( spl11_203
| ~ spl11_7
| ~ spl11_199 ),
inference(avatar_split_clause,[],[f4987,f4919,f211,f5008]) ).
tff(f4987,plain,
( $less($uminus(sF4),sF4)
| ~ spl11_7
| ~ spl11_199 ),
inference(resolution,[],[f4920,f360]) ).
tff(f4966,plain,
( spl11_201
| spl11_202
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_174 ),
inference(avatar_split_clause,[],[f4888,f4212,f982,f264,f191,f4964,f4961]) ).
tff(f4888,plain,
( ( 0 = $uminus(abs1(abs1($uminus(sF4)))) )
| $less($uminus(abs1(abs1($uminus(sF4)))),sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_174 ),
inference(resolution,[],[f4807,f322]) ).
tff(f4940,plain,
( ~ spl11_200
| spl11_150
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_174 ),
inference(avatar_split_clause,[],[f4931,f4212,f982,f264,f191,f3432,f4938]) ).
tff(f4938,plain,
( spl11_200
<=> $less(0,$uminus(sF4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_200])]) ).
tff(f3432,plain,
( spl11_150
<=> $less(1,sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_150])]) ).
tff(f4931,plain,
( $less(1,sF10)
| ~ $less(0,$uminus(sF4))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_174 ),
inference(evaluation,[],[f4926]) ).
tff(f4926,plain,
( $less(1,sF10)
| ~ $less(0,$uminus(sF4))
| ( 0 = 1 )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_174 ),
inference(superposition,[],[f4825,f274]) ).
tff(f4921,plain,
( spl11_199
| ~ spl11_23
| ~ spl11_174 ),
inference(avatar_split_clause,[],[f4779,f4212,f397,f4919]) ).
tff(f4779,plain,
( $less($uminus(sF4),sK0)
| ~ spl11_23
| ~ spl11_174 ),
inference(resolution,[],[f4213,f431]) ).
tff(f4915,plain,
( spl11_197
| spl11_198
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_174 ),
inference(avatar_split_clause,[],[f4885,f4212,f982,f264,f191,f4913,f4910]) ).
tff(f4885,plain,
( ( 0 = $uminus(abs1($uminus(sF4))) )
| $less($uminus(abs1($uminus(sF4))),sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_174 ),
inference(resolution,[],[f4807,f52]) ).
tff(f4902,plain,
( spl11_196
| ~ spl11_1
| ~ spl11_174 ),
inference(avatar_split_clause,[],[f4778,f4212,f187,f4900]) ).
tff(f4778,plain,
( $less($uminus(sF4),sK2)
| ~ spl11_1
| ~ spl11_174 ),
inference(resolution,[],[f4213,f357]) ).
tff(f4878,plain,
( spl11_195
| ~ spl11_2
| ~ spl11_174 ),
inference(avatar_split_clause,[],[f4777,f4212,f191,f4876]) ).
tff(f4777,plain,
( $less($uminus(sF4),sK1)
| ~ spl11_2
| ~ spl11_174 ),
inference(resolution,[],[f4213,f358]) ).
tff(f4850,plain,
( spl11_188
| ~ spl11_186 ),
inference(avatar_split_clause,[],[f4748,f4732,f4753]) ).
tff(f4753,plain,
( spl11_188
<=> ( $sum(sK1,sF7) = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_188])]) ).
tff(f4748,plain,
( ( $sum(sK1,sF7) = sK2 )
| ~ spl11_186 ),
inference(superposition,[],[f47,f4733]) ).
tff(f4849,plain,
( spl11_154
| spl11_194
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(avatar_split_clause,[],[f4301,f1726,f856,f239,f4847,f3454]) ).
tff(f4301,plain,
( ! [X0: $int] :
( ~ $less($sum(sF4,X0),sF3)
| ( 0 = sF3 )
| $less($sum(sF4,X0),0)
| $less(X0,0)
| ( $sum(sF4,$sum(X0,$product(sF3,div1(X0,sF3)))) = X0 ) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(forward_demodulation,[],[f4300,f48]) ).
tff(f4300,plain,
( ! [X0: $int] :
( ~ $less($sum(sF4,X0),sF3)
| ( $sum($sum(sF4,X0),$product(sF3,div1(X0,sF3))) = X0 )
| ( 0 = sF3 )
| $less(X0,0)
| $less($sum(sF4,X0),0) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(forward_demodulation,[],[f4286,f47]) ).
tff(f4286,plain,
( ! [X0: $int] :
( $less($sum(sF4,X0),0)
| $less(X0,0)
| ( 0 = sF3 )
| ( $sum($product(sF3,div1(X0,sF3)),$sum(sF4,X0)) = X0 )
| ~ $less($sum(sF4,X0),sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f128,f4188]) ).
tff(f4845,plain,
( spl11_188
| ~ spl11_186 ),
inference(avatar_split_clause,[],[f4747,f4732,f4753]) ).
tff(f4747,plain,
( ( $sum(sK1,sF7) = sK2 )
| ~ spl11_186 ),
inference(superposition,[],[f47,f4733]) ).
tff(f4844,plain,
( spl11_189
| spl11_193
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_174 ),
inference(avatar_split_clause,[],[f4798,f4212,f982,f264,f191,f4793,f4759]) ).
tff(f4798,plain,
( $less($uminus(sF4),sF10)
| ( 0 = $uminus(sF4) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_174 ),
inference(resolution,[],[f4775,f52]) ).
tff(f4795,plain,
( spl11_193
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_174 ),
inference(avatar_split_clause,[],[f4776,f4212,f982,f264,f191,f4793]) ).
tff(f4776,plain,
( $less($uminus(sF4),sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_174 ),
inference(resolution,[],[f4213,f1404]) ).
tff(f4791,plain,
( spl11_154
| spl11_192
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(avatar_split_clause,[],[f4288,f1726,f856,f239,f4789,f3454]) ).
tff(f4288,plain,
( ! [X2: $int] :
( $less($sum(sF4,X2),0)
| $less(X2,0)
| ( 0 = sF3 )
| ~ $less($sum(sF4,X2),sF3)
| $less(0,X2)
| ~ $less(0,$sum(sF4,X2)) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f159,f4188]) ).
tff(f4787,plain,
( spl11_154
| spl11_191
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(avatar_split_clause,[],[f4290,f1726,f856,f239,f4785,f3454]) ).
tff(f4290,plain,
( ! [X4: $int] :
( ~ $less($sum(sF4,X4),sF3)
| $less($uminus(abs1(sF3)),$sum(sF4,X4))
| $less(X4,0)
| ( 0 = sF3 )
| $less($sum(sF4,X4),0) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f161,f4188]) ).
tff(f4767,plain,
( spl11_188
| ~ spl11_186 ),
inference(avatar_split_clause,[],[f4743,f4732,f4753]) ).
tff(f4743,plain,
( ( $sum(sK1,sF7) = sK2 )
| ~ spl11_186 ),
inference(superposition,[],[f4733,f47]) ).
tff(f4764,plain,
( spl11_174
| spl11_189
| ~ spl11_190
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(avatar_split_clause,[],[f4684,f1726,f856,f239,f4762,f4759,f4212]) ).
tff(f4684,plain,
( ~ $less($uminus(sF4),sF3)
| ( 0 = $uminus(sF4) )
| $less($uminus(sF4),0)
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(subsumption_resolution,[],[f4680,f857]) ).
tff(f4680,plain,
( ~ $less($uminus(sF4),sF3)
| ~ $less(0,sF3)
| ( 0 = $uminus(sF4) )
| $less($uminus(sF4),0)
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(evaluation,[],[f4677]) ).
tff(f4677,plain,
( $less(0,0)
| ~ $less(0,sF3)
| ( 0 = $uminus(sF4) )
| $less($uminus(sF4),0)
| ~ $less($uminus(sF4),sF3)
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f4296,f51]) ).
tff(f4296,plain,
( ! [X1: $int] :
( ~ $less($sum(sF4,X1),sF3)
| ~ $less(X1,sF3)
| $less($sum(sF4,X1),0)
| $less(X1,0)
| ( $sum(sF4,X1) = X1 ) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(duplicate_literal_removal,[],[f4282]) ).
tff(f4282,plain,
( ! [X1: $int] :
( ( $sum(sF4,X1) = X1 )
| $less(X1,0)
| ~ $less($sum(sF4,X1),sF3)
| $less($sum(sF4,X1),0)
| $less(X1,0)
| ~ $less(X1,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f4188,f145]) ).
tff(f4755,plain,
( spl11_188
| ~ spl11_186 ),
inference(avatar_split_clause,[],[f4742,f4732,f4753]) ).
tff(f4742,plain,
( ( $sum(sK1,sF7) = sK2 )
| ~ spl11_186 ),
inference(superposition,[],[f4733,f47]) ).
tff(f4739,plain,
( spl11_187
| ~ spl11_130
| ~ spl11_184 ),
inference(avatar_split_clause,[],[f4735,f4633,f2590,f4737]) ).
tff(f4735,plain,
( $less(2,sK2)
| ~ spl11_130
| ~ spl11_184 ),
inference(forward_demodulation,[],[f4634,f2591]) ).
tff(f4734,plain,
( spl11_186
| ~ spl11_17
| ~ spl11_130 ),
inference(avatar_split_clause,[],[f4723,f2590,f255,f4732]) ).
tff(f4723,plain,
( ( $sum(sF7,sK1) = sK2 )
| ~ spl11_17
| ~ spl11_130 ),
inference(backward_demodulation,[],[f256,f2591]) ).
tff(f4698,plain,
( ~ spl11_185
| spl11_169
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(avatar_split_clause,[],[f4683,f3897,f1726,f856,f239,f3894,f4696]) ).
tff(f4683,plain,
( ( 0 = sF4 )
| ~ $less(sF4,sF3)
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(subsumption_resolution,[],[f4682,f3898]) ).
tff(f4682,plain,
( ~ $less(sF4,sF3)
| $less(sF4,0)
| ( 0 = sF4 )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(subsumption_resolution,[],[f4681,f857]) ).
tff(f4681,plain,
( ~ $less(0,sF3)
| ~ $less(sF4,sF3)
| $less(sF4,0)
| ( 0 = sF4 )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(evaluation,[],[f4676]) ).
tff(f4676,plain,
( $less(0,0)
| ~ $less(0,sF3)
| ~ $less(sF4,sF3)
| ( 0 = sF4 )
| $less(sF4,0)
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f4296,f49]) ).
tff(f4659,plain,
( ~ spl11_131
| spl11_135
| ~ spl11_183 ),
inference(avatar_contradiction_clause,[],[f4658]) ).
tff(f4658,plain,
( $false
| ~ spl11_131
| spl11_135
| ~ spl11_183 ),
inference(subsumption_resolution,[],[f4656,f2697]) ).
tff(f4656,plain,
( $less(sK2,2)
| ~ spl11_131
| ~ spl11_183 ),
inference(backward_demodulation,[],[f2594,f4631]) ).
tff(f4631,plain,
( ( 2 = sF8 )
| ~ spl11_183 ),
inference(avatar_component_clause,[],[f4630]) ).
tff(f4630,plain,
( spl11_183
<=> ( 2 = sF8 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_183])]) ).
tff(f4636,plain,
( spl11_172
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(avatar_split_clause,[],[f4609,f3897,f1726,f856,f239,f4205]) ).
tff(f4609,plain,
( ( mod1(sF4,sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(subsumption_resolution,[],[f4608,f3891]) ).
tff(f4608,plain,
( $less(sF3,0)
| ( mod1(sF4,sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(subsumption_resolution,[],[f4584,f3898]) ).
tff(f4584,plain,
( $less(sF4,0)
| ( mod1(sF4,sF3) = mod1(0,sF3) )
| $less(sF3,0)
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(superposition,[],[f4582,f240]) ).
tff(f4635,plain,
( spl11_183
| spl11_184
| spl11_112 ),
inference(avatar_split_clause,[],[f1889,f1876,f4633,f4630]) ).
tff(f1876,plain,
( spl11_112
<=> $less(sF8,2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_112])]) ).
tff(f1889,plain,
( $less(2,sF8)
| ( 2 = sF8 )
| spl11_112 ),
inference(resolution,[],[f1877,f54]) ).
tff(f1877,plain,
( ~ $less(sF8,2)
| spl11_112 ),
inference(avatar_component_clause,[],[f1876]) ).
tff(f4628,plain,
( spl11_182
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(avatar_split_clause,[],[f4607,f3897,f1726,f856,f239,f4626]) ).
tff(f4607,plain,
( ( mod1(sF3,sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(subsumption_resolution,[],[f4606,f3891]) ).
tff(f4606,plain,
( $less(sF3,0)
| ( mod1(sF3,sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(evaluation,[],[f4585]) ).
tff(f4585,plain,
( $less(sF3,0)
| $less(1,0)
| ( mod1(sF3,sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(superposition,[],[f4582,f60]) ).
tff(f4624,plain,
( spl11_181
| spl11_154
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(avatar_split_clause,[],[f4232,f1726,f856,f239,f3454,f4622]) ).
tff(f4232,plain,
( ! [X1: $int] :
( ( 0 = sF3 )
| $less(X1,0)
| ( $sum(X1,sF4) = $sum(mod1(X1,sF3),$product(sF3,div1($sum(X1,sF4),sF3))) ) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(forward_demodulation,[],[f4223,f47]) ).
tff(f4223,plain,
( ! [X1: $int] :
( ( 0 = sF3 )
| ( $sum(X1,sF4) = $sum($product(sF3,div1($sum(X1,sF4),sF3)),mod1(X1,sF3)) )
| $less(X1,0) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f128,f4186]) ).
tff(f4620,plain,
( spl11_180
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(avatar_split_clause,[],[f4581,f3897,f1726,f856,f239,f4618]) ).
tff(f4581,plain,
( ( mod1(sF3,sF3) = mod1(sF4,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(subsumption_resolution,[],[f4565,f3891]) ).
tff(f4565,plain,
( ( mod1(sF3,sF3) = mod1(sF4,sF3) )
| $less(sF3,0)
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(evaluation,[],[f4549]) ).
tff(f4549,plain,
( $less(sF3,0)
| $less(1,0)
| ( mod1(sF3,sF3) = mod1(sF4,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(superposition,[],[f4492,f60]) ).
tff(f4583,plain,
( spl11_172
| ~ spl11_13
| ~ spl11_47
| spl11_106
| spl11_170 ),
inference(avatar_split_clause,[],[f4569,f3897,f1726,f856,f239,f4205]) ).
tff(f4360,plain,
( spl11_179
| spl11_41
| spl11_30 ),
inference(avatar_split_clause,[],[f567,f541,f765,f4358]) ).
tff(f765,plain,
( spl11_41
<=> ( 0 = sF7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_41])]) ).
tff(f567,plain,
( ( 0 = sF7 )
| $less(0,sF7)
| spl11_30 ),
inference(resolution,[],[f542,f54]) ).
tff(f4356,plain,
( spl11_178
| spl11_154
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(avatar_split_clause,[],[f4225,f1726,f856,f239,f3454,f4354]) ).
tff(f4225,plain,
( ! [X3: $int] :
( ( 0 = sF3 )
| ~ $less(0,mod1(X3,sF3))
| $less(0,$sum(X3,sF4))
| $less(X3,0) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f159,f4186]) ).
tff(f4309,plain,
( spl11_154
| spl11_177
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(avatar_split_clause,[],[f4196,f1726,f856,f239,f4307,f3454]) ).
tff(f4196,plain,
( ! [X0: $int] :
( $less(X0,0)
| ( $sum(mod1(X0,sF3),$product(sF3,div1($sum(sF4,X0),sF3))) = $sum(sF4,X0) )
| ( 0 = sF3 ) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(forward_demodulation,[],[f4189,f47]) ).
tff(f4189,plain,
( ! [X0: $int] :
( ( $sum($product(sF3,div1($sum(sF4,X0),sF3)),mod1(X0,sF3)) = $sum(sF4,X0) )
| $less(X0,0)
| ( 0 = sF3 ) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f128,f4180]) ).
tff(f4305,plain,
( spl11_157
| ~ spl11_176
| spl11_97
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_103 ),
inference(avatar_split_clause,[],[f4280,f1682,f982,f264,f191,f1564,f4303,f3480]) ).
tff(f1564,plain,
( spl11_97
<=> $less($sum(sK0,sF10),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_97])]) ).
tff(f1682,plain,
( spl11_103
<=> $less($sum(sK0,sF10),sF6) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_103])]) ).
tff(f4280,plain,
( $less($sum(sK0,sF10),sF10)
| ~ $less(sF6,0)
| ( 0 = sF6 )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_103 ),
inference(resolution,[],[f1683,f3793]) ).
tff(f1683,plain,
( $less($sum(sK0,sF10),sF6)
| ~ spl11_103 ),
inference(avatar_component_clause,[],[f1682]) ).
tff(f4260,plain,
( spl11_154
| spl11_175
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(avatar_split_clause,[],[f4191,f1726,f856,f239,f4258,f3454]) ).
tff(f4191,plain,
( ! [X2: $int] :
( $less(X2,0)
| ( 0 = sF3 )
| ~ $less(0,mod1(X2,sF3))
| $less(0,$sum(sF4,X2)) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f159,f4180]) ).
tff(f4256,plain,
( spl11_173
| spl11_174
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(avatar_split_clause,[],[f4218,f1726,f856,f239,f4212,f4209]) ).
tff(f4218,plain,
( $less($uminus(sF4),0)
| ( mod1($uminus(sF4),sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f4186,f267]) ).
tff(f4249,plain,
( spl11_172
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(avatar_split_clause,[],[f4229,f1726,f856,f239,f4205]) ).
tff(f4229,plain,
( ( mod1(sF4,sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(evaluation,[],[f4217]) ).
tff(f4217,plain,
( $less(0,0)
| ( mod1(sF4,sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f4186,f274]) ).
tff(f4214,plain,
( spl11_173
| spl11_174
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(avatar_split_clause,[],[f4185,f1726,f856,f239,f4212,f4209]) ).
tff(f4185,plain,
( $less($uminus(sF4),0)
| ( mod1($uminus(sF4),sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f4180,f51]) ).
tff(f4207,plain,
( spl11_172
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(avatar_split_clause,[],[f4195,f1726,f856,f239,f4205]) ).
tff(f4195,plain,
( ( mod1(sF4,sF3) = mod1(0,sF3) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(evaluation,[],[f4184]) ).
tff(f4184,plain,
( ( mod1(sF4,sF3) = mod1(0,sF3) )
| $less(0,0)
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(superposition,[],[f4180,f49]) ).
tff(f4199,plain,
( spl11_105
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(avatar_split_clause,[],[f4183,f1726,f856,f239,f1723]) ).
tff(f4183,plain,
( ! [X6: $int] :
( ( div1($sum(sF4,X6),sF3) = $sum(sF3,div1(X6,sF3)) )
| $less(X6,0) )
| ~ spl11_13
| ~ spl11_47
| spl11_106 ),
inference(subsumption_resolution,[],[f4182,f857]) ).
tff(f4182,plain,
( ! [X6: $int] :
( $less(X6,0)
| ( div1($sum(sF4,X6),sF3) = $sum(sF3,div1(X6,sF3)) )
| ~ $less(0,sF3) )
| ~ spl11_13
| spl11_106 ),
inference(subsumption_resolution,[],[f4173,f3891]) ).
tff(f4173,plain,
( ! [X6: $int] :
( $less(sF3,0)
| ~ $less(0,sF3)
| $less(X6,0)
| ( div1($sum(sF4,X6),sF3) = $sum(sF3,div1(X6,sF3)) ) )
| ~ spl11_13 ),
inference(superposition,[],[f151,f240]) ).
tff(f4143,plain,
( spl11_171
| spl11_64
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(avatar_split_clause,[],[f4072,f1276,f982,f264,f191,f1158,f4141]) ).
tff(f4072,plain,
( ! [X1: $int] :
( ( mod1(sF10,sK1) = mod1(0,sK1) )
| $less($product(X1,sK1),0)
| $less(X1,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(backward_subsumption_demodulation,[],[f1818,f1892]) ).
tff(f4139,plain,
( spl11_64
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(avatar_split_clause,[],[f4100,f1276,f982,f264,f191,f1158]) ).
tff(f4100,plain,
( ( mod1(sF10,sK1) = mod1(0,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(subsumption_resolution,[],[f4099,f1277]) ).
tff(f4099,plain,
( ( mod1(sF10,sK1) = mod1(0,sK1) )
| $less(sF10,0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(subsumption_resolution,[],[f4076,f983]) ).
tff(f4076,plain,
( $less(sK1,0)
| $less(sF10,0)
| ( mod1(sF10,sK1) = mod1(0,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(superposition,[],[f1892,f265]) ).
tff(f4138,plain,
( spl11_64
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(avatar_split_clause,[],[f4071,f1276,f982,f264,f191,f1158]) ).
tff(f4071,plain,
( ( mod1(sF10,sK1) = mod1(0,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(subsumption_resolution,[],[f4070,f1277]) ).
tff(f4070,plain,
( ( mod1(sF10,sK1) = mod1(0,sK1) )
| $less(sF10,0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(forward_demodulation,[],[f4069,f265]) ).
tff(f4069,plain,
( ( mod1(sF10,sK1) = mod1(0,sK1) )
| $less($product(sK1,sK1),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(subsumption_resolution,[],[f4050,f983]) ).
tff(f4050,plain,
( ( mod1(sF10,sK1) = mod1(0,sK1) )
| $less($product(sK1,sK1),0)
| $less(sK1,0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(duplicate_literal_removal,[],[f4041]) ).
tff(f4041,plain,
( ( mod1(sF10,sK1) = mod1(0,sK1) )
| $less(sK1,0)
| $less(sK1,0)
| $less($product(sK1,sK1),0)
| $less($product(sK1,sK1),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(superposition,[],[f1858,f1818]) ).
tff(f4137,plain,
( spl11_107
| ~ spl11_139
| ~ spl11_169 ),
inference(avatar_contradiction_clause,[],[f4136]) ).
tff(f4136,plain,
( $false
| spl11_107
| ~ spl11_139
| ~ spl11_169 ),
inference(subsumption_resolution,[],[f4122,f1793]) ).
tff(f4122,plain,
( $less(sK2,0)
| ~ spl11_139
| ~ spl11_169 ),
inference(backward_demodulation,[],[f2821,f3895]) ).
tff(f3895,plain,
( ( 0 = sF4 )
| ~ spl11_169 ),
inference(avatar_component_clause,[],[f3894]) ).
tff(f4135,plain,
( spl11_30
| ~ spl11_165
| ~ spl11_169 ),
inference(avatar_contradiction_clause,[],[f4134]) ).
tff(f4134,plain,
( $false
| spl11_30
| ~ spl11_165
| ~ spl11_169 ),
inference(subsumption_resolution,[],[f4123,f542]) ).
tff(f4123,plain,
( $less(sF7,0)
| ~ spl11_165
| ~ spl11_169 ),
inference(backward_demodulation,[],[f3769,f3895]) ).
tff(f4133,plain,
( spl11_5
| ~ spl11_7
| ~ spl11_169 ),
inference(avatar_contradiction_clause,[],[f4132]) ).
tff(f4132,plain,
( $false
| spl11_5
| ~ spl11_7
| ~ spl11_169 ),
inference(subsumption_resolution,[],[f4110,f204]) ).
tff(f4110,plain,
( $less(sK0,0)
| ~ spl11_7
| ~ spl11_169 ),
inference(backward_demodulation,[],[f212,f3895]) ).
tff(f4131,plain,
( spl11_58
| ~ spl11_126
| ~ spl11_169 ),
inference(avatar_contradiction_clause,[],[f4130]) ).
tff(f4130,plain,
( $false
| spl11_58
| ~ spl11_126
| ~ spl11_169 ),
inference(subsumption_resolution,[],[f4119,f983]) ).
tff(f4119,plain,
( $less(sK1,0)
| ~ spl11_126
| ~ spl11_169 ),
inference(backward_demodulation,[],[f2441,f3895]) ).
tff(f4129,plain,
( spl11_61
| ~ spl11_73
| ~ spl11_169 ),
inference(avatar_contradiction_clause,[],[f4128]) ).
tff(f4128,plain,
( $false
| spl11_61
| ~ spl11_73
| ~ spl11_169 ),
inference(subsumption_resolution,[],[f4115,f2030]) ).
tff(f4115,plain,
( $less(sF8,0)
| ~ spl11_73
| ~ spl11_169 ),
inference(backward_demodulation,[],[f1241,f3895]) ).
tff(f4127,plain,
( ~ spl11_25
| ~ spl11_169 ),
inference(avatar_contradiction_clause,[],[f4126]) ).
tff(f4126,plain,
( $false
| ~ spl11_25
| ~ spl11_169 ),
inference(evaluation,[],[f4114]) ).
tff(f4114,plain,
( $less(3,0)
| ~ spl11_25
| ~ spl11_169 ),
inference(backward_demodulation,[],[f472,f3895]) ).
tff(f4125,plain,
( ~ spl11_24
| ~ spl11_169 ),
inference(avatar_contradiction_clause,[],[f4124]) ).
tff(f4124,plain,
( $false
| ~ spl11_24
| ~ spl11_169 ),
inference(evaluation,[],[f4113]) ).
tff(f4113,plain,
( $less(0,0)
| ~ spl11_24
| ~ spl11_169 ),
inference(backward_demodulation,[],[f468,f3895]) ).
tff(f4108,plain,
( spl11_64
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(avatar_split_clause,[],[f4067,f1276,f982,f264,f191,f1158]) ).
tff(f4067,plain,
( ( mod1(sF10,sK1) = mod1(0,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(subsumption_resolution,[],[f4066,f1277]) ).
tff(f4066,plain,
( $less(sF10,0)
| ( mod1(sF10,sK1) = mod1(0,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(forward_demodulation,[],[f4065,f265]) ).
tff(f4065,plain,
( ( mod1(sF10,sK1) = mod1(0,sK1) )
| $less($product(sK1,sK1),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(subsumption_resolution,[],[f4054,f983]) ).
tff(f4054,plain,
( $less(sK1,0)
| $less($product(sK1,sK1),0)
| ( mod1(sF10,sK1) = mod1(0,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(duplicate_literal_removal,[],[f4037]) ).
tff(f4037,plain,
( $less(sK1,0)
| ( mod1(sF10,sK1) = mod1(0,sK1) )
| $less($product(sK1,sK1),0)
| $less($product(sK1,sK1),0)
| $less(sK1,0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(superposition,[],[f1818,f1858]) ).
tff(f4016,plain,
( spl11_64
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(avatar_split_clause,[],[f4006,f1276,f982,f264,f191,f1158]) ).
tff(f4006,plain,
( ( mod1(sF10,sK1) = mod1(0,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(subsumption_resolution,[],[f4005,f1277]) ).
tff(f4005,plain,
( ( mod1(sF10,sK1) = mod1(0,sK1) )
| $less(sF10,0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(forward_demodulation,[],[f4004,f265]) ).
tff(f4004,plain,
( $less($product(sK1,sK1),0)
| ( mod1(sF10,sK1) = mod1(0,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(subsumption_resolution,[],[f3989,f983]) ).
tff(f3989,plain,
( $less($product(sK1,sK1),0)
| $less(sK1,0)
| ( mod1(sF10,sK1) = mod1(0,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(duplicate_literal_removal,[],[f3979]) ).
tff(f3979,plain,
( $less(sK1,0)
| ( mod1(sF10,sK1) = mod1(0,sK1) )
| $less($product(sK1,sK1),0)
| $less(sK1,0)
| $less($product(sK1,sK1),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(superposition,[],[f1858,f1817]) ).
tff(f4013,plain,
( spl11_64
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(avatar_split_clause,[],[f3999,f1276,f982,f264,f191,f1158]) ).
tff(f3999,plain,
( ( mod1(sF10,sK1) = mod1(0,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(subsumption_resolution,[],[f3998,f1277]) ).
tff(f3998,plain,
( $less(sF10,0)
| ( mod1(sF10,sK1) = mod1(0,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(forward_demodulation,[],[f3997,f265]) ).
tff(f3997,plain,
( ( mod1(sF10,sK1) = mod1(0,sK1) )
| $less($product(sK1,sK1),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(subsumption_resolution,[],[f3995,f983]) ).
tff(f3995,plain,
( ( mod1(sF10,sK1) = mod1(0,sK1) )
| $less(sK1,0)
| $less($product(sK1,sK1),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(duplicate_literal_removal,[],[f3975]) ).
tff(f3975,plain,
( $less($product(sK1,sK1),0)
| $less(sK1,0)
| ( mod1(sF10,sK1) = mod1(0,sK1) )
| $less(sK1,0)
| $less($product(sK1,sK1),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(superposition,[],[f1817,f1858]) ).
tff(f3899,plain,
( spl11_169
| spl11_97
| ~ spl11_170
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_104 ),
inference(avatar_split_clause,[],[f3852,f1708,f982,f264,f191,f3897,f1564,f3894]) ).
tff(f1708,plain,
( spl11_104
<=> $less($sum(sK0,sF10),sF4) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_104])]) ).
tff(f3852,plain,
( ~ $less(sF4,0)
| $less($sum(sK0,sF10),sF10)
| ( 0 = sF4 )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_104 ),
inference(resolution,[],[f3793,f1709]) ).
tff(f1709,plain,
( $less($sum(sK0,sF10),sF4)
| ~ spl11_104 ),
inference(avatar_component_clause,[],[f1708]) ).
tff(f3892,plain,
( spl11_150
| ~ spl11_106
| spl11_154
| ~ spl11_2
| ~ spl11_19
| ~ spl11_51
| spl11_58 ),
inference(avatar_split_clause,[],[f3857,f982,f935,f264,f191,f3454,f1726,f3432]) ).
tff(f3857,plain,
( ( 0 = sF3 )
| ~ $less(sF3,0)
| $less(1,sF10)
| ~ spl11_2
| ~ spl11_19
| ~ spl11_51
| spl11_58 ),
inference(resolution,[],[f3793,f936]) ).
tff(f3890,plain,
( ~ spl11_168
| spl11_167
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(avatar_split_clause,[],[f2813,f1276,f982,f264,f191,f3884,f3887]) ).
tff(f3887,plain,
( spl11_168
<=> $less($sum(sF10,sF10),$sum(sK1,$sum(sK1,div1(0,sK1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_168])]) ).
tff(f2813,plain,
( $less($sum(sF10,sF10),0)
| ~ $less($sum(sF10,sF10),$sum(sK1,$sum(sK1,div1(0,sK1))))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(subsumption_resolution,[],[f2787,f1277]) ).
tff(f2787,plain,
( $less($sum(sF10,sF10),0)
| ~ $less($sum(sF10,sF10),$sum(sK1,$sum(sK1,div1(0,sK1))))
| $less(sF10,0)
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(evaluation,[],[f2773]) ).
tff(f2773,plain,
( ~ $less($sum(sF10,sF10),$sum(sK1,$sum(sK1,div1(0,sK1))))
| $less($sum(sF10,sF10),0)
| $less(sF10,0)
| $less(0,0)
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1348,f274]) ).
tff(f3889,plain,
( spl11_167
| ~ spl11_168
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(avatar_split_clause,[],[f2758,f1276,f982,f264,f191,f3887,f3884]) ).
tff(f2758,plain,
( ~ $less($sum(sF10,sF10),$sum(sK1,$sum(sK1,div1(0,sK1))))
| $less($sum(sF10,sF10),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(subsumption_resolution,[],[f2757,f1277]) ).
tff(f2757,plain,
( $less($sum(sF10,sF10),0)
| $less(sF10,0)
| ~ $less($sum(sF10,sF10),$sum(sK1,$sum(sK1,div1(0,sK1))))
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(evaluation,[],[f2739]) ).
tff(f2739,plain,
( ~ $less($sum(sF10,sF10),$sum(sK1,$sum(sK1,div1(0,sK1))))
| $less(sF10,0)
| $less(0,0)
| $less($sum(sF10,sF10),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1347,f49]) ).
tff(f3797,plain,
( spl11_166
| ~ spl11_8
| ~ spl11_111 ),
inference(avatar_split_clause,[],[f3739,f1868,f215,f3795]) ).
tff(f3739,plain,
( $less(sF7,sF6)
| ~ spl11_8
| ~ spl11_111 ),
inference(resolution,[],[f361,f1869]) ).
tff(f3777,plain,
( ~ spl11_159
| spl11_53
| spl11_158
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(avatar_split_clause,[],[f1958,f1276,f982,f264,f191,f3504,f951,f3603]) ).
tff(f3504,plain,
( spl11_158
<=> ! [X0: $int] :
( $less($product(sK1,X0),0)
| $less(X0,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_158])]) ).
tff(f1958,plain,
( ! [X4: $int] :
( $less($product(sK1,X4),0)
| $less(X4,0)
| ( 0 = sK1 )
| ~ $less(mod1(sF10,sK1),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(duplicate_literal_removal,[],[f1950]) ).
tff(f1950,plain,
( ! [X4: $int] :
( ( 0 = sK1 )
| $less($product(sK1,X4),0)
| $less(X4,0)
| $less($product(sK1,X4),0)
| ~ $less(mod1(sF10,sK1),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(superposition,[],[f163,f1923]) ).
tff(f3776,plain,
( spl11_150
| ~ spl11_149
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_68 ),
inference(avatar_split_clause,[],[f3762,f1173,f982,f264,f191,f3429,f3432]) ).
tff(f3762,plain,
( ~ $less(0,$uminus(sF10))
| $less(1,sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_68 ),
inference(evaluation,[],[f3758]) ).
tff(f3758,plain,
( ~ $less(0,$uminus(sF10))
| $less(1,sF10)
| ( 0 = 1 )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_68 ),
inference(superposition,[],[f3420,f49]) ).
tff(f3770,plain,
( spl11_165
| ~ spl11_7
| ~ spl11_111 ),
inference(avatar_split_clause,[],[f3711,f1868,f211,f3768]) ).
tff(f3711,plain,
( $less(sF7,sF4)
| ~ spl11_7
| ~ spl11_111 ),
inference(resolution,[],[f1869,f360]) ).
tff(f3766,plain,
( spl11_164
| ~ spl11_10
| ~ spl11_111 ),
inference(avatar_split_clause,[],[f3710,f1868,f224,f3764]) ).
tff(f3710,plain,
( $less(sF7,sF10)
| ~ spl11_10
| ~ spl11_111 ),
inference(resolution,[],[f1869,f362]) ).
tff(f3755,plain,
( spl11_162
| spl11_163
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_68 ),
inference(avatar_split_clause,[],[f2883,f1173,f982,f264,f191,f3753,f3750]) ).
tff(f3753,plain,
( spl11_163
<=> ( 0 = $uminus(abs1(abs1($uminus(sF10)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_163])]) ).
tff(f2883,plain,
( ( 0 = $uminus(abs1(abs1($uminus(sF10)))) )
| $less($uminus(abs1(abs1($uminus(sF10)))),sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_68 ),
inference(resolution,[],[f1805,f322]) ).
tff(f3743,plain,
( spl11_161
| spl11_53
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f3576,f982,f264,f191,f951,f3741]) ).
tff(f3576,plain,
( ! [X4: $int] :
( ( 0 = sK1 )
| $less($sum(X4,$uminus(sF10)),0)
| ~ $less(mod1(X4,sK1),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(duplicate_literal_removal,[],[f3566]) ).
tff(f3566,plain,
( ! [X4: $int] :
( ( 0 = sK1 )
| $less($sum(X4,$uminus(sF10)),0)
| ~ $less(mod1(X4,sK1),0)
| $less($sum(X4,$uminus(sF10)),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f163,f1651]) ).
tff(f3729,plain,
( ~ spl11_160
| spl11_53
| spl11_158
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(avatar_split_clause,[],[f1908,f1276,f982,f264,f191,f3504,f951,f3727]) ).
tff(f1908,plain,
( ! [X3: $int] :
( $less(X3,0)
| ( 0 = sK1 )
| ~ $less(mod1(0,sK1),0)
| $less($product(sK1,X3),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(duplicate_literal_removal,[],[f1900]) ).
tff(f1900,plain,
( ! [X3: $int] :
( $less($product(sK1,X3),0)
| ( 0 = sK1 )
| $less($product(sK1,X3),0)
| ~ $less(mod1(0,sK1),0)
| $less(X3,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(superposition,[],[f163,f1858]) ).
tff(f3717,plain,
( spl11_77
| spl11_93
| spl11_80
| ~ spl11_2
| spl11_5
| ~ spl11_16
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f3688,f982,f264,f251,f203,f191,f1313,f1518,f1303]) ).
tff(f1303,plain,
( spl11_77
<=> $less(0,$sum(sK1,sF7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_77])]) ).
tff(f1518,plain,
( spl11_93
<=> ( 0 = $sum(sK1,sF7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_93])]) ).
tff(f3688,plain,
( $less($sum(sK0,sF10),0)
| ( 0 = $sum(sK1,sF7) )
| $less(0,$sum(sK1,sF7))
| ~ spl11_2
| spl11_5
| ~ spl11_16
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f3687,f47]) ).
tff(f3687,plain,
( $less($sum(sF10,sK0),0)
| ( 0 = $sum(sK1,sF7) )
| $less(0,$sum(sK1,sF7))
| ~ spl11_2
| spl11_5
| ~ spl11_16
| ~ spl11_19
| spl11_58 ),
inference(subsumption_resolution,[],[f3634,f204]) ).
tff(f3634,plain,
( ( 0 = $sum(sK1,sF7) )
| $less($sum(sF10,sK0),0)
| $less(sK0,0)
| $less(0,$sum(sK1,sF7))
| ~ spl11_2
| ~ spl11_16
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1258,f252]) ).
tff(f3715,plain,
( spl11_80
| ~ spl11_85
| ~ spl11_2
| spl11_5
| ~ spl11_16
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f3707,f982,f264,f251,f203,f191,f1391,f1313]) ).
tff(f3707,plain,
( ~ $less($sum(sK0,sF10),$sum(sK1,sF7))
| $less($sum(sK0,sF10),0)
| ~ spl11_2
| spl11_5
| ~ spl11_16
| ~ spl11_19
| spl11_58 ),
inference(subsumption_resolution,[],[f3628,f204]) ).
tff(f3628,plain,
( $less($sum(sK0,sF10),0)
| ~ $less($sum(sK0,sF10),$sum(sK1,sF7))
| $less(sK0,0)
| ~ spl11_2
| ~ spl11_16
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1223,f252]) ).
tff(f3714,plain,
( ~ spl11_85
| spl11_80
| ~ spl11_2
| spl11_5
| ~ spl11_16
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f3655,f982,f264,f251,f203,f191,f1313,f1391]) ).
tff(f3655,plain,
( $less($sum(sK0,sF10),0)
| ~ $less($sum(sK0,sF10),$sum(sK1,sF7))
| ~ spl11_2
| spl11_5
| ~ spl11_16
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f3654,f47]) ).
tff(f3654,plain,
( ~ $less($sum(sK0,sF10),$sum(sK1,sF7))
| $less($sum(sF10,sK0),0)
| ~ spl11_2
| spl11_5
| ~ spl11_16
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f3653,f47]) ).
tff(f3653,plain,
( ~ $less($sum(sF10,sK0),$sum(sK1,sF7))
| $less($sum(sF10,sK0),0)
| ~ spl11_2
| spl11_5
| ~ spl11_16
| ~ spl11_19
| spl11_58 ),
inference(subsumption_resolution,[],[f3623,f204]) ).
tff(f3623,plain,
( $less(sK0,0)
| $less($sum(sF10,sK0),0)
| ~ $less($sum(sF10,sK0),$sum(sK1,sF7))
| ~ spl11_2
| ~ spl11_16
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1153,f252]) ).
tff(f3709,plain,
( ~ spl11_79
| spl11_80
| ~ spl11_2
| spl11_5
| ~ spl11_16
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f3697,f982,f264,f251,f203,f191,f1313,f1310]) ).
tff(f3697,plain,
( $less($sum(sK0,sF10),0)
| ~ $less($sum(sK1,sF7),0)
| ~ spl11_2
| spl11_5
| ~ spl11_16
| ~ spl11_19
| spl11_58 ),
inference(subsumption_resolution,[],[f3627,f204]) ).
tff(f3627,plain,
( $less($sum(sK0,sF10),0)
| ~ $less($sum(sK1,sF7),0)
| $less(sK0,0)
| ~ spl11_2
| ~ spl11_16
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1221,f252]) ).
tff(f3708,plain,
( ~ spl11_79
| spl11_80
| ~ spl11_2
| spl11_5
| ~ spl11_16
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f3678,f982,f264,f251,f203,f191,f1313,f1310]) ).
tff(f3678,plain,
( $less($sum(sK0,sF10),0)
| ~ $less($sum(sK1,sF7),0)
| ~ spl11_2
| spl11_5
| ~ spl11_16
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f3677,f47]) ).
tff(f3677,plain,
( ~ $less($sum(sK1,sF7),0)
| $less($sum(sF10,sK0),0)
| ~ spl11_2
| spl11_5
| ~ spl11_16
| ~ spl11_19
| spl11_58 ),
inference(subsumption_resolution,[],[f3625,f204]) ).
tff(f3625,plain,
( ~ $less($sum(sK1,sF7),0)
| $less($sum(sF10,sK0),0)
| $less(sK0,0)
| ~ spl11_2
| ~ spl11_16
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1155,f252]) ).
tff(f3605,plain,
( spl11_53
| ~ spl11_159
| spl11_158
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(avatar_split_clause,[],[f1832,f1276,f982,f264,f191,f3504,f3603,f951]) ).
tff(f1832,plain,
( ! [X3: $int] :
( $less(X3,0)
| ~ $less(mod1(sF10,sK1),0)
| ( 0 = sK1 )
| $less($product(sK1,X3),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(duplicate_literal_removal,[],[f1825]) ).
tff(f1825,plain,
( ! [X3: $int] :
( ( 0 = sK1 )
| ~ $less(mod1(sF10,sK1),0)
| $less($product(sK1,X3),0)
| $less($product(sK1,X3),0)
| $less(X3,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(superposition,[],[f163,f1795]) ).
tff(f3600,plain,
( spl11_152
| ~ spl11_153
| spl11_151
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_68 ),
inference(avatar_split_clause,[],[f3591,f1173,f982,f264,f243,f191,f3436,f3442,f3439]) ).
tff(f3591,plain,
( ( 0 = sF5 )
| ~ $less(sK1,$uminus(sF10))
| $less(sF5,sF10)
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_68 ),
inference(superposition,[],[f1807,f244]) ).
tff(f3588,plain,
( spl11_64
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f3575,f982,f264,f191,f1158]) ).
tff(f3575,plain,
( ( mod1(sF10,sK1) = mod1(0,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(evaluation,[],[f3554]) ).
tff(f3554,plain,
( $less(0,0)
| ( mod1(0,sK1) = mod1($uminus($uminus(sF10)),sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1651,f267]) ).
tff(f3587,plain,
( spl11_64
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f3572,f982,f264,f191,f1158]) ).
tff(f3572,plain,
( ( mod1(sF10,sK1) = mod1(0,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(evaluation,[],[f3549]) ).
tff(f3549,plain,
( ( mod1(sF10,sK1) = mod1(0,sK1) )
| $less(0,0)
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1651,f51]) ).
tff(f3526,plain,
( spl11_64
| spl11_158
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(avatar_split_clause,[],[f1964,f1276,f982,f264,f191,f3504,f1158]) ).
tff(f1964,plain,
( ! [X1: $int] :
( $less($product(sK1,X1),0)
| ( mod1(sF10,sK1) = mod1(0,sK1) )
| $less(X1,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(duplicate_literal_removal,[],[f1942]) ).
tff(f1942,plain,
( ! [X1: $int] :
( $less($product(sK1,X1),0)
| ( mod1(sF10,sK1) = mod1(0,sK1) )
| $less(X1,0)
| $less(X1,0)
| $less($product(sK1,X1),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(superposition,[],[f1923,f1858]) ).
tff(f3506,plain,
( spl11_64
| spl11_158
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(avatar_split_clause,[],[f1961,f1276,f982,f264,f191,f3504,f1158]) ).
tff(f1961,plain,
( ! [X0: $int] :
( $less($product(sK1,X0),0)
| $less(X0,0)
| ( mod1(sF10,sK1) = mod1(0,sK1) ) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(duplicate_literal_removal,[],[f1946]) ).
tff(f1946,plain,
( ! [X0: $int] :
( $less($product(sK1,X0),0)
| ( mod1(sF10,sK1) = mod1(0,sK1) )
| $less($product(sK1,X0),0)
| $less(X0,0)
| $less(X0,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(superposition,[],[f1858,f1923]) ).
tff(f3492,plain,
( ~ spl11_15
| spl11_107
| ~ spl11_137
| ~ spl11_151 ),
inference(avatar_contradiction_clause,[],[f3491]) ).
tff(f3491,plain,
( $false
| ~ spl11_15
| spl11_107
| ~ spl11_137
| ~ spl11_151 ),
inference(subsumption_resolution,[],[f3478,f1793]) ).
tff(f3478,plain,
( $less(sK2,0)
| ~ spl11_15
| ~ spl11_137
| ~ spl11_151 ),
inference(backward_demodulation,[],[f2731,f3452]) ).
tff(f3452,plain,
( ( 0 = sF6 )
| ~ spl11_15
| ~ spl11_151 ),
inference(evaluation,[],[f3450]) ).
tff(f3450,plain,
( ( $product(0,0) = sF6 )
| ~ spl11_15
| ~ spl11_151 ),
inference(backward_demodulation,[],[f248,f3437]) ).
tff(f3437,plain,
( ( 0 = sF5 )
| ~ spl11_151 ),
inference(avatar_component_clause,[],[f3436]) ).
tff(f3490,plain,
( spl11_5
| ~ spl11_8
| ~ spl11_15
| ~ spl11_151 ),
inference(avatar_contradiction_clause,[],[f3489]) ).
tff(f3489,plain,
( $false
| spl11_5
| ~ spl11_8
| ~ spl11_15
| ~ spl11_151 ),
inference(subsumption_resolution,[],[f3468,f204]) ).
tff(f3468,plain,
( $less(sK0,0)
| ~ spl11_8
| ~ spl11_15
| ~ spl11_151 ),
inference(backward_demodulation,[],[f216,f3452]) ).
tff(f3488,plain,
( ~ spl11_15
| spl11_58
| ~ spl11_125
| ~ spl11_151 ),
inference(avatar_contradiction_clause,[],[f3487]) ).
tff(f3487,plain,
( $false
| ~ spl11_15
| spl11_58
| ~ spl11_125
| ~ spl11_151 ),
inference(subsumption_resolution,[],[f3474,f983]) ).
tff(f3474,plain,
( $less(sK1,0)
| ~ spl11_15
| ~ spl11_125
| ~ spl11_151 ),
inference(backward_demodulation,[],[f2376,f3452]) ).
tff(f3486,plain,
( ~ spl11_15
| ~ spl11_26
| ~ spl11_151 ),
inference(avatar_contradiction_clause,[],[f3485]) ).
tff(f3485,plain,
( $false
| ~ spl11_15
| ~ spl11_26
| ~ spl11_151 ),
inference(evaluation,[],[f3470]) ).
tff(f3470,plain,
( $less(0,0)
| ~ spl11_15
| ~ spl11_26
| ~ spl11_151 ),
inference(backward_demodulation,[],[f481,f3452]) ).
tff(f3484,plain,
( ~ spl11_15
| ~ spl11_27
| ~ spl11_151 ),
inference(avatar_contradiction_clause,[],[f3483]) ).
tff(f3483,plain,
( $false
| ~ spl11_15
| ~ spl11_27
| ~ spl11_151 ),
inference(evaluation,[],[f3471]) ).
tff(f3471,plain,
( $less(3,0)
| ~ spl11_15
| ~ spl11_27
| ~ spl11_151 ),
inference(backward_demodulation,[],[f485,f3452]) ).
tff(f3482,plain,
( spl11_157
| ~ spl11_15
| ~ spl11_151 ),
inference(avatar_split_clause,[],[f3452,f3436,f247,f3480]) ).
tff(f3462,plain,
( spl11_154
| ~ spl11_155
| spl11_156
| ~ spl11_2
| ~ spl11_12
| ~ spl11_19
| spl11_58
| ~ spl11_68 ),
inference(avatar_split_clause,[],[f3426,f1173,f982,f264,f235,f191,f3460,f3457,f3454]) ).
tff(f3426,plain,
( $less(sF3,sF10)
| ~ $less(sK2,$uminus(sF10))
| ( 0 = sF3 )
| ~ spl11_2
| ~ spl11_12
| ~ spl11_19
| spl11_58
| ~ spl11_68 ),
inference(superposition,[],[f1807,f236]) ).
tff(f3444,plain,
( spl11_151
| spl11_152
| ~ spl11_153
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_68 ),
inference(avatar_split_clause,[],[f3425,f1173,f982,f264,f243,f191,f3442,f3439,f3436]) ).
tff(f3425,plain,
( ~ $less(sK1,$uminus(sF10))
| $less(sF5,sF10)
| ( 0 = sF5 )
| ~ spl11_2
| ~ spl11_14
| ~ spl11_19
| spl11_58
| ~ spl11_68 ),
inference(superposition,[],[f1807,f244]) ).
tff(f3434,plain,
( ~ spl11_149
| spl11_150
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_68 ),
inference(avatar_split_clause,[],[f3427,f1173,f982,f264,f191,f3432,f3429]) ).
tff(f3427,plain,
( $less(1,sF10)
| ~ $less(0,$uminus(sF10))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_68 ),
inference(evaluation,[],[f3422]) ).
tff(f3422,plain,
( ( 0 = 1 )
| ~ $less(0,$uminus(sF10))
| $less(1,sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_68 ),
inference(superposition,[],[f1807,f274]) ).
tff(f3151,plain,
( ~ spl11_148
| spl11_5
| spl11_123 ),
inference(avatar_split_clause,[],[f2603,f2360,f203,f3149]) ).
tff(f3149,plain,
( spl11_148
<=> $less(sK0,abs1($product(sK0,sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_148])]) ).
tff(f2360,plain,
( spl11_123
<=> $less(abs1(sK0),abs1($product(sK0,sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_123])]) ).
tff(f2603,plain,
( ~ $less(sK0,abs1($product(sK0,sK1)))
| spl11_5
| spl11_123 ),
inference(subsumption_resolution,[],[f2601,f204]) ).
tff(f2601,plain,
( $less(sK0,0)
| ~ $less(sK0,abs1($product(sK0,sK1)))
| spl11_123 ),
inference(superposition,[],[f2361,f126]) ).
tff(f2361,plain,
( ~ $less(abs1(sK0),abs1($product(sK0,sK1)))
| spl11_123 ),
inference(avatar_component_clause,[],[f2360]) ).
tff(f3103,plain,
( spl11_146
| spl11_147
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(avatar_split_clause,[],[f2632,f1276,f982,f264,f191,f3101,f3098]) ).
tff(f3098,plain,
( spl11_146
<=> ( sF10 = $sum(sK1,div1(0,sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_146])]) ).
tff(f3101,plain,
( spl11_147
<=> $less($sum(sK1,div1(0,sK1)),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_147])]) ).
tff(f2632,plain,
( $less($sum(sK1,div1(0,sK1)),sF10)
| ( sF10 = $sum(sK1,div1(0,sK1)) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(subsumption_resolution,[],[f2627,f1277]) ).
tff(f2627,plain,
( $less($sum(sK1,div1(0,sK1)),sF10)
| $less(sF10,0)
| ( sF10 = $sum(sK1,div1(0,sK1)) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(evaluation,[],[f2619]) ).
tff(f2619,plain,
( ( sF10 = $sum(sK1,div1(0,sK1)) )
| $less($sum(sK1,div1(0,sK1)),sF10)
| $less(sF10,0)
| $less(0,0)
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1341,f49]) ).
tff(f3096,plain,
( ~ spl11_145
| spl11_123 ),
inference(avatar_split_clause,[],[f2599,f2360,f3094]) ).
tff(f3094,plain,
( spl11_145
<=> $less(abs1(sK0),$product(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_145])]) ).
tff(f2599,plain,
( ~ $less(abs1(sK0),$product(sK0,sK1))
| spl11_123 ),
inference(resolution,[],[f2361,f149]) ).
tff(f3085,plain,
( ~ spl11_144
| ~ spl11_142 ),
inference(avatar_split_clause,[],[f3028,f2953,f3082]) ).
tff(f3028,plain,
( ~ $less(abs1(sK2),abs1($product(2,sK2)))
| ~ spl11_142 ),
inference(evaluation,[],[f3021]) ).
tff(f3021,plain,
( ~ $less(abs1(sK2),abs1($product(2,sK2)))
| ( 0 = 2 )
| ~ spl11_142 ),
inference(superposition,[],[f653,f2954]) ).
tff(f3084,plain,
( ~ spl11_144
| spl11_72
| ~ spl11_130 ),
inference(avatar_split_clause,[],[f2666,f2590,f1235,f3082]) ).
tff(f2666,plain,
( ~ $less(abs1(sK2),abs1($product(2,sK2)))
| spl11_72
| ~ spl11_130 ),
inference(backward_demodulation,[],[f1236,f2591]) ).
tff(f3033,plain,
( ~ spl11_101
| spl11_118
| ~ spl11_130 ),
inference(avatar_split_clause,[],[f2677,f2590,f2048,f1667]) ).
tff(f1667,plain,
( spl11_101
<=> $less($sum(sK0,sF10),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_101])]) ).
tff(f2048,plain,
( spl11_118
<=> $less($sum(sK0,sF10),sF8) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_118])]) ).
tff(f2677,plain,
( ~ $less($sum(sK0,sF10),sK2)
| spl11_118
| ~ spl11_130 ),
inference(backward_demodulation,[],[f2049,f2591]) ).
tff(f2049,plain,
( ~ $less($sum(sK0,sF10),sF8)
| spl11_118 ),
inference(avatar_component_clause,[],[f2048]) ).
tff(f2970,plain,
( spl11_143
| ~ spl11_114
| ~ spl11_130 ),
inference(avatar_split_clause,[],[f2671,f2590,f1931,f2968]) ).
tff(f2968,plain,
( spl11_143
<=> ( sK2 = $sum(sK0,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_143])]) ).
tff(f1931,plain,
( spl11_114
<=> ( sF8 = $sum(sK0,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_114])]) ).
tff(f2671,plain,
( ( sK2 = $sum(sK0,sK1) )
| ~ spl11_114
| ~ spl11_130 ),
inference(backward_demodulation,[],[f1932,f2591]) ).
tff(f1932,plain,
( ( sF8 = $sum(sK0,sK1) )
| ~ spl11_114 ),
inference(avatar_component_clause,[],[f1931]) ).
tff(f2955,plain,
( spl11_142
| ~ spl11_18
| ~ spl11_130 ),
inference(avatar_split_clause,[],[f2659,f2590,f260,f2953]) ).
tff(f2659,plain,
( ( div1(sK2,2) = sK2 )
| ~ spl11_18
| ~ spl11_130 ),
inference(backward_demodulation,[],[f261,f2591]) ).
tff(f2894,plain,
( spl11_139
| ~ spl11_7
| ~ spl11_136 ),
inference(avatar_split_clause,[],[f2706,f2701,f211,f2820]) ).
tff(f2706,plain,
( $less(sK2,sF4)
| ~ spl11_7
| ~ spl11_136 ),
inference(resolution,[],[f2702,f360]) ).
tff(f2893,plain,
( spl11_138
| ~ spl11_10
| ~ spl11_136 ),
inference(avatar_split_clause,[],[f2705,f2701,f224,f2816]) ).
tff(f2705,plain,
( $less(sK2,sF10)
| ~ spl11_10
| ~ spl11_136 ),
inference(resolution,[],[f2702,f362]) ).
tff(f2892,plain,
( spl11_140
| spl11_141
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_68 ),
inference(avatar_split_clause,[],[f2881,f1173,f982,f264,f191,f2890,f2887]) ).
tff(f2887,plain,
( spl11_140
<=> $less($uminus(abs1($uminus(sF10))),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_140])]) ).
tff(f2890,plain,
( spl11_141
<=> ( 0 = $uminus(abs1($uminus(sF10))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_141])]) ).
tff(f2881,plain,
( ( 0 = $uminus(abs1($uminus(sF10))) )
| $less($uminus(abs1($uminus(sF10))),sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_68 ),
inference(resolution,[],[f1805,f52]) ).
tff(f2823,plain,
( spl11_137
| ~ spl11_8
| ~ spl11_136 ),
inference(avatar_split_clause,[],[f2704,f2701,f215,f2730]) ).
tff(f2704,plain,
( $less(sK2,sF6)
| ~ spl11_8
| ~ spl11_136 ),
inference(resolution,[],[f2702,f361]) ).
tff(f2822,plain,
( spl11_139
| ~ spl11_73
| ~ spl11_130 ),
inference(avatar_split_clause,[],[f2667,f2590,f1240,f2820]) ).
tff(f2667,plain,
( $less(sK2,sF4)
| ~ spl11_73
| ~ spl11_130 ),
inference(backward_demodulation,[],[f1241,f2591]) ).
tff(f2818,plain,
( spl11_138
| ~ spl11_71
| ~ spl11_130 ),
inference(avatar_split_clause,[],[f2665,f2590,f1229,f2816]) ).
tff(f2665,plain,
( $less(sK2,sF10)
| ~ spl11_71
| ~ spl11_130 ),
inference(backward_demodulation,[],[f1230,f2591]) ).
tff(f2732,plain,
( spl11_137
| ~ spl11_69
| ~ spl11_130 ),
inference(avatar_split_clause,[],[f2664,f2590,f1199,f2730]) ).
tff(f2664,plain,
( $less(sK2,sF6)
| ~ spl11_69
| ~ spl11_130 ),
inference(backward_demodulation,[],[f1200,f2591]) ).
tff(f2703,plain,
( spl11_136
| ~ spl11_66
| ~ spl11_130 ),
inference(avatar_split_clause,[],[f2663,f2590,f1166,f2701]) ).
tff(f1166,plain,
( spl11_66
<=> $less(sF8,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_66])]) ).
tff(f2663,plain,
( $less(sK2,sK0)
| ~ spl11_66
| ~ spl11_130 ),
inference(backward_demodulation,[],[f1167,f2591]) ).
tff(f1167,plain,
( $less(sF8,sK0)
| ~ spl11_66 ),
inference(avatar_component_clause,[],[f1166]) ).
tff(f2698,plain,
( ~ spl11_135
| spl11_112
| ~ spl11_130 ),
inference(avatar_split_clause,[],[f2670,f2590,f1876,f2696]) ).
tff(f2670,plain,
( ~ $less(sK2,2)
| spl11_112
| ~ spl11_130 ),
inference(backward_demodulation,[],[f1877,f2591]) ).
tff(f2658,plain,
( spl11_53
| spl11_134
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f1388,f982,f264,f191,f2656,f951]) ).
tff(f1388,plain,
( ! [X0: $int] :
( ~ $less($sum(sF10,X0),sK1)
| $less(X0,0)
| ( 0 = sK1 )
| $less($sum(sF10,X0),0)
| ( $sum(sF10,$sum(X0,$product(sK1,div1(X0,sK1)))) = X0 ) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f1387,f48]) ).
tff(f1387,plain,
( ! [X0: $int] :
( $less(X0,0)
| ~ $less($sum(sF10,X0),sK1)
| $less($sum(sF10,X0),0)
| ( $sum($sum(sF10,X0),$product(sK1,div1(X0,sK1))) = X0 )
| ( 0 = sK1 ) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f1374,f47]) ).
tff(f1374,plain,
( ! [X0: $int] :
( ( $sum($product(sK1,div1(X0,sK1)),$sum(sF10,X0)) = X0 )
| $less(X0,0)
| ~ $less($sum(sF10,X0),sK1)
| ( 0 = sK1 )
| $less($sum(sF10,X0),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f128,f1132]) ).
tff(f2654,plain,
( spl11_133
| spl11_53
| ~ spl11_115 ),
inference(avatar_split_clause,[],[f2006,f1935,f951,f2652]) ).
tff(f2652,plain,
( spl11_133
<=> ( sK0 = $sum($product(sK0,sK1),mod1(sK0,sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_133])]) ).
tff(f1935,plain,
( spl11_115
<=> ( sK0 = div1(sK0,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_115])]) ).
tff(f2006,plain,
( ( 0 = sK1 )
| ( sK0 = $sum($product(sK0,sK1),mod1(sK0,sK1)) )
| ~ spl11_115 ),
inference(forward_demodulation,[],[f1990,f58]) ).
tff(f1990,plain,
( ( $sum($product(sK1,sK0),mod1(sK0,sK1)) = sK0 )
| ( 0 = sK1 )
| ~ spl11_115 ),
inference(superposition,[],[f128,f1936]) ).
tff(f1936,plain,
( ( sK0 = div1(sK0,sK1) )
| ~ spl11_115 ),
inference(avatar_component_clause,[],[f1935]) ).
tff(f2607,plain,
( spl11_53
| spl11_132
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f1376,f982,f264,f191,f2605,f951]) ).
tff(f1376,plain,
( ! [X2: $int] :
( $less(X2,0)
| $less(0,X2)
| ~ $less(0,$sum(sF10,X2))
| ( 0 = sK1 )
| $less($sum(sF10,X2),0)
| ~ $less($sum(sF10,X2),sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f159,f1132]) ).
tff(f2595,plain,
( spl11_130
| spl11_131
| spl11_62 ),
inference(avatar_split_clause,[],[f1790,f1097,f2593,f2590]) ).
tff(f1097,plain,
( spl11_62
<=> $less(sF8,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_62])]) ).
tff(f1790,plain,
( $less(sK2,sF8)
| ( sF8 = sK2 )
| spl11_62 ),
inference(resolution,[],[f1098,f54]) ).
tff(f1098,plain,
( ~ $less(sF8,sK2)
| spl11_62 ),
inference(avatar_component_clause,[],[f1097]) ).
tff(f2494,plain,
( ~ spl11_129
| spl11_72 ),
inference(avatar_split_clause,[],[f1279,f1235,f2492]) ).
tff(f1279,plain,
( ~ $less(abs1(sF8),$product(2,sK2))
| spl11_72 ),
inference(resolution,[],[f1236,f149]) ).
tff(f2457,plain,
( spl11_128
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(avatar_split_clause,[],[f2430,f1276,f982,f264,f191,f2455]) ).
tff(f2455,plain,
( spl11_128
<=> ( $sum(sK1,div1(sK1,sK1)) = $sum(1,div1(sF10,sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_128])]) ).
tff(f2430,plain,
( ( $sum(sK1,div1(sK1,sK1)) = $sum(1,div1(sF10,sK1)) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(subsumption_resolution,[],[f2421,f983]) ).
tff(f2421,plain,
( $less(sK1,0)
| ( $sum(sK1,div1(sK1,sK1)) = $sum(1,div1(sF10,sK1)) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(evaluation,[],[f2386]) ).
tff(f2386,plain,
( $less(1,0)
| $less(sK1,0)
| ( $sum(sK1,div1(sK1,sK1)) = $sum(1,div1(sF10,sK1)) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(superposition,[],[f2358,f60]) ).
tff(f2453,plain,
( spl11_127
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_61
| ~ spl11_114 ),
inference(avatar_split_clause,[],[f2253,f1931,f1094,f982,f264,f191,f2451]) ).
tff(f2253,plain,
( ( $sum(sK1,div1(sF8,sK1)) = div1($sum(sF8,sF10),sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_61
| ~ spl11_114 ),
inference(forward_demodulation,[],[f2252,f1932]) ).
tff(f2252,plain,
( ( $sum(sK1,div1($sum(sK0,sK1),sK1)) = div1($sum(sF8,sF10),sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_61
| ~ spl11_114 ),
inference(subsumption_resolution,[],[f2251,f2030]) ).
tff(f2251,plain,
( ( $sum(sK1,div1($sum(sK0,sK1),sK1)) = div1($sum(sF8,sF10),sK1) )
| $less(sF8,0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_114 ),
inference(forward_demodulation,[],[f2237,f1932]) ).
tff(f2237,plain,
( $less($sum(sK0,sK1),0)
| ( $sum(sK1,div1($sum(sK0,sK1),sK1)) = div1($sum(sF8,sF10),sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_114 ),
inference(superposition,[],[f1210,f1975]) ).
tff(f1975,plain,
( ! [X0: $int] : ( $sum(sF8,X0) = $sum(sK0,$sum(sK1,X0)) )
| ~ spl11_114 ),
inference(superposition,[],[f48,f1932]) ).
tff(f2443,plain,
( spl11_65
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(avatar_split_clause,[],[f2427,f1276,f982,f264,f191,f1162]) ).
tff(f2427,plain,
( ( $sum(sK1,div1(0,sK1)) = div1(sF10,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(forward_demodulation,[],[f2425,f274]) ).
tff(f2425,plain,
( ( $sum(sK1,div1(0,sK1)) = $sum(0,div1(sF10,sK1)) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(evaluation,[],[f2424]) ).
tff(f2424,plain,
( ( $sum(sK1,div1(0,sK1)) = $sum(0,div1(sF10,sK1)) )
| $less(0,0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(duplicate_literal_removal,[],[f2387]) ).
tff(f2387,plain,
( ( $sum(sK1,div1(0,sK1)) = $sum(0,div1(sF10,sK1)) )
| $less(0,0)
| $less(0,0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(superposition,[],[f2358,f61]) ).
tff(f2442,plain,
( spl11_126
| ~ spl11_7
| ~ spl11_50 ),
inference(avatar_split_clause,[],[f2369,f916,f211,f2440]) ).
tff(f2369,plain,
( $less(sK1,sF4)
| ~ spl11_7
| ~ spl11_50 ),
inference(resolution,[],[f917,f360]) ).
tff(f2384,plain,
( spl11_56
| ~ spl11_10
| ~ spl11_50 ),
inference(avatar_split_clause,[],[f2368,f916,f224,f973]) ).
tff(f2368,plain,
( $less(sK1,sF10)
| ~ spl11_10
| ~ spl11_50 ),
inference(resolution,[],[f917,f362]) ).
tff(f2377,plain,
( spl11_125
| ~ spl11_8
| ~ spl11_50 ),
inference(avatar_split_clause,[],[f2367,f916,f215,f2375]) ).
tff(f2367,plain,
( $less(sK1,sF6)
| ~ spl11_8
| ~ spl11_50 ),
inference(resolution,[],[f917,f361]) ).
tff(f2366,plain,
( spl11_50
| spl11_124
| spl11_42 ),
inference(avatar_split_clause,[],[f1029,f768,f2364,f916]) ).
tff(f2364,plain,
( spl11_124
<=> ( sK1 = sK0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_124])]) ).
tff(f1029,plain,
( ( sK1 = sK0 )
| $less(sK1,sK0)
| spl11_42 ),
inference(resolution,[],[f769,f54]) ).
tff(f2362,plain,
( spl11_53
| ~ spl11_123
| ~ spl11_115 ),
inference(avatar_split_clause,[],[f2002,f1935,f2360,f951]) ).
tff(f2002,plain,
( ~ $less(abs1(sK0),abs1($product(sK0,sK1)))
| ( 0 = sK1 )
| ~ spl11_115 ),
inference(forward_demodulation,[],[f1991,f58]) ).
tff(f1991,plain,
( ( 0 = sK1 )
| ~ $less(abs1(sK0),abs1($product(sK1,sK0)))
| ~ spl11_115 ),
inference(superposition,[],[f653,f1936]) ).
tff(f2280,plain,
( spl11_53
| spl11_122
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f1378,f982,f264,f191,f2278,f951]) ).
tff(f1378,plain,
( ! [X4: $int] :
( $less($uminus(abs1(sK1)),$sum(sF10,X4))
| $less(X4,0)
| ~ $less($sum(sF10,X4),sK1)
| ( 0 = sK1 )
| $less($sum(sF10,X4),0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f161,f1132]) ).
tff(f2276,plain,
( spl11_53
| spl11_121
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f1222,f982,f264,f191,f2274,f951]) ).
tff(f1222,plain,
( ! [X1: $int] :
( ( $sum(X1,sF10) = $sum(mod1($sum(X1,sF10),sK1),$product(sK1,$sum(sK1,div1(X1,sK1)))) )
| $less(X1,0)
| ( 0 = sK1 ) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f1214,f47]) ).
tff(f1214,plain,
( ! [X1: $int] :
( ( $sum(X1,sF10) = $sum($product(sK1,$sum(sK1,div1(X1,sK1))),mod1($sum(X1,sF10),sK1)) )
| ( 0 = sK1 )
| $less(X1,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f128,f1143]) ).
tff(f2258,plain,
( spl11_120
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_61
| ~ spl11_114 ),
inference(avatar_split_clause,[],[f2247,f1931,f1094,f982,f264,f191,f2256]) ).
tff(f2256,plain,
( spl11_120
<=> ( mod1($sum(sF8,sF10),sK1) = mod1(sF8,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_120])]) ).
tff(f2247,plain,
( ( mod1($sum(sF8,sF10),sK1) = mod1(sF8,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_61
| ~ spl11_114 ),
inference(forward_demodulation,[],[f2246,f1932]) ).
tff(f2246,plain,
( ( mod1($sum(sF8,sF10),sK1) = mod1($sum(sK0,sK1),sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_61
| ~ spl11_114 ),
inference(subsumption_resolution,[],[f2245,f2030]) ).
tff(f2245,plain,
( $less(sF8,0)
| ( mod1($sum(sF8,sF10),sK1) = mod1($sum(sK0,sK1),sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_114 ),
inference(forward_demodulation,[],[f2238,f1932]) ).
tff(f2238,plain,
( $less($sum(sK0,sK1),0)
| ( mod1($sum(sF8,sF10),sK1) = mod1($sum(sK0,sK1),sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_114 ),
inference(superposition,[],[f1180,f1975]) ).
tff(f2151,plain,
( spl11_119
| spl11_53
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f1191,f982,f264,f191,f951,f2149]) ).
tff(f1191,plain,
( ! [X1: $int] :
( ( 0 = sK1 )
| $less(X1,0)
| ( $sum(X1,sF10) = $sum(mod1(X1,sK1),$product(sK1,div1($sum(X1,sF10),sK1))) ) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f1184,f47]) ).
tff(f1184,plain,
( ! [X1: $int] :
( ( $sum(X1,sF10) = $sum($product(sK1,div1($sum(X1,sF10),sK1)),mod1(X1,sK1)) )
| ( 0 = sK1 )
| $less(X1,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f128,f1130]) ).
tff(f2101,plain,
( ~ spl11_118
| spl11_80
| ~ spl11_2
| spl11_5
| ~ spl11_19
| spl11_58
| ~ spl11_114
| ~ spl11_115 ),
inference(avatar_split_clause,[],[f1998,f1935,f1931,f982,f264,f203,f191,f1313,f2048]) ).
tff(f1998,plain,
( $less($sum(sK0,sF10),0)
| ~ $less($sum(sK0,sF10),sF8)
| ~ spl11_2
| spl11_5
| ~ spl11_19
| spl11_58
| ~ spl11_114
| ~ spl11_115 ),
inference(forward_demodulation,[],[f1997,f1932]) ).
tff(f1997,plain,
( ~ $less($sum(sK0,sF10),$sum(sK0,sK1))
| $less($sum(sK0,sF10),0)
| ~ spl11_2
| spl11_5
| ~ spl11_19
| spl11_58
| ~ spl11_115 ),
inference(forward_demodulation,[],[f1996,f47]) ).
tff(f1996,plain,
( ~ $less($sum(sK0,sF10),$sum(sK1,sK0))
| $less($sum(sK0,sF10),0)
| ~ spl11_2
| spl11_5
| ~ spl11_19
| spl11_58
| ~ spl11_115 ),
inference(subsumption_resolution,[],[f1988,f204]) ).
tff(f1988,plain,
( $less(sK0,0)
| $less($sum(sK0,sF10),0)
| ~ $less($sum(sK0,sF10),$sum(sK1,sK0))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_115 ),
inference(superposition,[],[f1223,f1936]) ).
tff(f2050,plain,
( spl11_80
| ~ spl11_118
| ~ spl11_2
| spl11_5
| ~ spl11_19
| spl11_58
| ~ spl11_114
| ~ spl11_115 ),
inference(avatar_split_clause,[],[f2015,f1935,f1931,f982,f264,f203,f191,f2048,f1313]) ).
tff(f2015,plain,
( ~ $less($sum(sK0,sF10),sF8)
| $less($sum(sK0,sF10),0)
| ~ spl11_2
| spl11_5
| ~ spl11_19
| spl11_58
| ~ spl11_114
| ~ spl11_115 ),
inference(forward_demodulation,[],[f2014,f47]) ).
tff(f2014,plain,
( ~ $less($sum(sK0,sF10),sF8)
| $less($sum(sF10,sK0),0)
| ~ spl11_2
| spl11_5
| ~ spl11_19
| spl11_58
| ~ spl11_114
| ~ spl11_115 ),
inference(forward_demodulation,[],[f2013,f47]) ).
tff(f2013,plain,
( ~ $less($sum(sF10,sK0),sF8)
| $less($sum(sF10,sK0),0)
| ~ spl11_2
| spl11_5
| ~ spl11_19
| spl11_58
| ~ spl11_114
| ~ spl11_115 ),
inference(forward_demodulation,[],[f2012,f1932]) ).
tff(f2012,plain,
( ~ $less($sum(sF10,sK0),$sum(sK0,sK1))
| $less($sum(sF10,sK0),0)
| ~ spl11_2
| spl11_5
| ~ spl11_19
| spl11_58
| ~ spl11_115 ),
inference(forward_demodulation,[],[f2011,f47]) ).
tff(f2011,plain,
( ~ $less($sum(sF10,sK0),$sum(sK1,sK0))
| $less($sum(sF10,sK0),0)
| ~ spl11_2
| spl11_5
| ~ spl11_19
| spl11_58
| ~ spl11_115 ),
inference(subsumption_resolution,[],[f1984,f204]) ).
tff(f1984,plain,
( $less(sK0,0)
| ~ $less($sum(sF10,sK0),$sum(sK1,sK0))
| $less($sum(sF10,sK0),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_115 ),
inference(superposition,[],[f1153,f1936]) ).
tff(f2046,plain,
( ~ spl11_61
| spl11_80
| ~ spl11_2
| spl11_5
| ~ spl11_19
| spl11_58
| ~ spl11_114
| ~ spl11_115 ),
inference(avatar_split_clause,[],[f2005,f1935,f1931,f982,f264,f203,f191,f1313,f1094]) ).
tff(f2005,plain,
( $less($sum(sK0,sF10),0)
| ~ $less(sF8,0)
| ~ spl11_2
| spl11_5
| ~ spl11_19
| spl11_58
| ~ spl11_114
| ~ spl11_115 ),
inference(forward_demodulation,[],[f2004,f1932]) ).
tff(f2004,plain,
( ~ $less($sum(sK0,sK1),0)
| $less($sum(sK0,sF10),0)
| ~ spl11_2
| spl11_5
| ~ spl11_19
| spl11_58
| ~ spl11_115 ),
inference(forward_demodulation,[],[f2003,f47]) ).
tff(f2003,plain,
( $less($sum(sK0,sF10),0)
| ~ $less($sum(sK1,sK0),0)
| ~ spl11_2
| spl11_5
| ~ spl11_19
| spl11_58
| ~ spl11_115 ),
inference(subsumption_resolution,[],[f1987,f204]) ).
tff(f1987,plain,
( ~ $less($sum(sK1,sK0),0)
| $less(sK0,0)
| $less($sum(sK0,sF10),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_115 ),
inference(superposition,[],[f1221,f1936]) ).
tff(f2044,plain,
( ~ spl11_61
| spl11_80
| ~ spl11_2
| spl11_5
| ~ spl11_19
| spl11_58
| ~ spl11_114
| ~ spl11_115 ),
inference(avatar_split_clause,[],[f2010,f1935,f1931,f982,f264,f203,f191,f1313,f1094]) ).
tff(f2010,plain,
( $less($sum(sK0,sF10),0)
| ~ $less(sF8,0)
| ~ spl11_2
| spl11_5
| ~ spl11_19
| spl11_58
| ~ spl11_114
| ~ spl11_115 ),
inference(forward_demodulation,[],[f2009,f1932]) ).
tff(f2009,plain,
( ~ $less($sum(sK0,sK1),0)
| $less($sum(sK0,sF10),0)
| ~ spl11_2
| spl11_5
| ~ spl11_19
| spl11_58
| ~ spl11_115 ),
inference(forward_demodulation,[],[f2008,f47]) ).
tff(f2008,plain,
( ~ $less($sum(sK1,sK0),0)
| $less($sum(sK0,sF10),0)
| ~ spl11_2
| spl11_5
| ~ spl11_19
| spl11_58
| ~ spl11_115 ),
inference(forward_demodulation,[],[f2007,f47]) ).
tff(f2007,plain,
( $less($sum(sF10,sK0),0)
| ~ $less($sum(sK1,sK0),0)
| ~ spl11_2
| spl11_5
| ~ spl11_19
| spl11_58
| ~ spl11_115 ),
inference(subsumption_resolution,[],[f1986,f204]) ).
tff(f1986,plain,
( ~ $less($sum(sK1,sK0),0)
| $less($sum(sF10,sK0),0)
| $less(sK0,0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_115 ),
inference(superposition,[],[f1155,f1936]) ).
tff(f2043,plain,
( spl11_117
| ~ spl11_23
| ~ spl11_114 ),
inference(avatar_split_clause,[],[f2029,f1931,f397,f2041]) ).
tff(f2029,plain,
( $less(sK1,sF8)
| ~ spl11_23
| ~ spl11_114 ),
inference(subsumption_resolution,[],[f2025,f398]) ).
tff(f2025,plain,
( ~ $less(0,sK0)
| $less(sK1,sF8)
| ~ spl11_114 ),
inference(superposition,[],[f1976,f274]) ).
tff(f1976,plain,
( ! [X1: $int] :
( $less($sum(X1,sK1),sF8)
| ~ $less(X1,sK0) )
| ~ spl11_114 ),
inference(superposition,[],[f55,f1932]) ).
tff(f2039,plain,
( spl11_109
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(avatar_split_clause,[],[f1974,f1276,f982,f264,f191,f1861]) ).
tff(f1974,plain,
( ( mod1(sF10,sK1) = mod1(sK1,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(subsumption_resolution,[],[f1959,f983]) ).
tff(f1959,plain,
( $less(sK1,0)
| ( mod1(sF10,sK1) = mod1(sK1,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(evaluation,[],[f1938]) ).
tff(f1938,plain,
( ( mod1(sF10,sK1) = mod1(sK1,sK1) )
| $less(1,0)
| $less(sK1,0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(superposition,[],[f1923,f60]) ).
tff(f2031,plain,
( ~ spl11_61
| spl11_79
| ~ spl11_110
| ~ spl11_114 ),
inference(avatar_split_clause,[],[f2021,f1931,f1865,f1310,f1094]) ).
tff(f1865,plain,
( spl11_110
<=> ( sF7 = sK0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_110])]) ).
tff(f2021,plain,
( ~ $less(sF8,0)
| spl11_79
| ~ spl11_110
| ~ spl11_114 ),
inference(forward_demodulation,[],[f1929,f1932]) ).
tff(f1929,plain,
( ~ $less($sum(sK0,sK1),0)
| spl11_79
| ~ spl11_110 ),
inference(forward_demodulation,[],[f1924,f47]) ).
tff(f1924,plain,
( ~ $less($sum(sK1,sK0),0)
| spl11_79
| ~ spl11_110 ),
inference(backward_demodulation,[],[f1311,f1866]) ).
tff(f1866,plain,
( ( sF7 = sK0 )
| ~ spl11_110 ),
inference(avatar_component_clause,[],[f1865]) ).
tff(f1311,plain,
( ~ $less($sum(sK1,sF7),0)
| spl11_79 ),
inference(avatar_component_clause,[],[f1310]) ).
tff(f2020,plain,
( spl11_64
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(avatar_split_clause,[],[f1956,f1276,f982,f264,f191,f1158]) ).
tff(f1956,plain,
( ( mod1(sF10,sK1) = mod1(0,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(evaluation,[],[f1955]) ).
tff(f1955,plain,
( $less(0,0)
| ( mod1(sF10,sK1) = mod1(0,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(duplicate_literal_removal,[],[f1939]) ).
tff(f1939,plain,
( ( mod1(sF10,sK1) = mod1(0,sK1) )
| $less(0,0)
| $less(0,0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(superposition,[],[f1923,f61]) ).
tff(f2019,plain,
( spl11_64
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(avatar_split_clause,[],[f1921,f1276,f982,f264,f191,f1158]) ).
tff(f1921,plain,
( ( mod1(sF10,sK1) = mod1(0,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(subsumption_resolution,[],[f1920,f1277]) ).
tff(f1920,plain,
( ( mod1(sF10,sK1) = mod1(0,sK1) )
| $less(sF10,0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(subsumption_resolution,[],[f1890,f983]) ).
tff(f1890,plain,
( $less(sK1,0)
| $less(sF10,0)
| ( mod1(sF10,sK1) = mod1(0,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(superposition,[],[f1858,f265]) ).
tff(f1981,plain,
( spl11_116
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(avatar_split_clause,[],[f1916,f1276,f982,f264,f191,f1979]) ).
tff(f1916,plain,
( ( mod1(0,sK1) = mod1(sK1,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(subsumption_resolution,[],[f1911,f983]) ).
tff(f1911,plain,
( ( mod1(0,sK1) = mod1(sK1,sK1) )
| $less(sK1,0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(evaluation,[],[f1891]) ).
tff(f1891,plain,
( ( mod1(0,sK1) = mod1(sK1,sK1) )
| $less(sK1,0)
| $less(1,0)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(superposition,[],[f1858,f60]) ).
tff(f1937,plain,
( spl11_115
| ~ spl11_16
| ~ spl11_110 ),
inference(avatar_split_clause,[],[f1926,f1865,f251,f1935]) ).
tff(f1926,plain,
( ( sK0 = div1(sK0,sK1) )
| ~ spl11_16
| ~ spl11_110 ),
inference(backward_demodulation,[],[f252,f1866]) ).
tff(f1933,plain,
( spl11_114
| ~ spl11_17
| ~ spl11_110 ),
inference(avatar_split_clause,[],[f1925,f1865,f255,f1931]) ).
tff(f1925,plain,
( ( sF8 = $sum(sK0,sK1) )
| ~ spl11_17
| ~ spl11_110 ),
inference(backward_demodulation,[],[f256,f1866]) ).
tff(f1881,plain,
( spl11_61
| ~ spl11_112
| spl11_113
| ~ spl11_18 ),
inference(avatar_split_clause,[],[f554,f260,f1879,f1876,f1094]) ).
tff(f554,plain,
( ( 0 = sK2 )
| ~ $less(sF8,2)
| $less(sF8,0)
| ~ spl11_18 ),
inference(superposition,[],[f156,f261]) ).
tff(f1871,plain,
( spl11_80
| ~ spl11_85
| ~ spl11_2
| spl11_5
| ~ spl11_16
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f1788,f982,f264,f251,f203,f191,f1391,f1313]) ).
tff(f1788,plain,
( ~ $less($sum(sK0,sF10),$sum(sK1,sF7))
| $less($sum(sK0,sF10),0)
| ~ spl11_2
| spl11_5
| ~ spl11_16
| ~ spl11_19
| spl11_58 ),
inference(subsumption_resolution,[],[f1598,f204]) ).
tff(f1598,plain,
( ~ $less($sum(sK0,sF10),$sum(sK1,sF7))
| $less(sK0,0)
| $less($sum(sK0,sF10),0)
| ~ spl11_2
| ~ spl11_16
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1223,f252]) ).
tff(f1870,plain,
( spl11_110
| spl11_111
| spl11_29 ),
inference(avatar_split_clause,[],[f566,f530,f1868,f1865]) ).
tff(f566,plain,
( $less(sF7,sK0)
| ( sF7 = sK0 )
| spl11_29 ),
inference(resolution,[],[f531,f54]) ).
tff(f1863,plain,
( spl11_109
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(avatar_split_clause,[],[f1840,f1276,f982,f264,f191,f1861]) ).
tff(f1840,plain,
( ( mod1(sF10,sK1) = mod1(sK1,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(subsumption_resolution,[],[f1838,f983]) ).
tff(f1838,plain,
( $less(sK1,0)
| ( mod1(sF10,sK1) = mod1(sK1,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(evaluation,[],[f1815]) ).
tff(f1815,plain,
( $less(sK1,0)
| $less(1,0)
| ( mod1(sF10,sK1) = mod1(sK1,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(superposition,[],[f1795,f60]) ).
tff(f1859,plain,
( spl11_64
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(avatar_split_clause,[],[f1831,f1276,f982,f264,f191,f1158]) ).
tff(f1852,plain,
( spl11_108
| ~ spl11_28
| ~ spl11_68 ),
inference(avatar_split_clause,[],[f1782,f1173,f518,f1850]) ).
tff(f1782,plain,
( $less($uminus(sF10),sF8)
| ~ spl11_28
| ~ spl11_68 ),
inference(resolution,[],[f548,f1174]) ).
tff(f1794,plain,
( ~ spl11_107
| spl11_61
| ~ spl11_18 ),
inference(avatar_split_clause,[],[f537,f260,f1094,f1792]) ).
tff(f537,plain,
( $less(sF8,0)
| ~ $less(sK2,0)
| ~ spl11_18 ),
inference(evaluation,[],[f535]) ).
tff(f535,plain,
( $less(sF8,0)
| ~ $less(sK2,0)
| ~ $less(0,2)
| ~ spl11_18 ),
inference(superposition,[],[f144,f261]) ).
tff(f1787,plain,
( ~ spl11_28
| ~ spl11_61 ),
inference(avatar_contradiction_clause,[],[f1786]) ).
tff(f1786,plain,
( $false
| ~ spl11_28
| ~ spl11_61 ),
inference(subsumption_resolution,[],[f1784,f52]) ).
tff(f1784,plain,
( $less(sF8,sF8)
| ~ spl11_28
| ~ spl11_61 ),
inference(resolution,[],[f548,f1095]) ).
tff(f1095,plain,
( $less(sF8,0)
| ~ spl11_61 ),
inference(avatar_component_clause,[],[f1094]) ).
tff(f1728,plain,
( spl11_105
| spl11_106
| ~ spl11_13
| ~ spl11_47 ),
inference(avatar_split_clause,[],[f895,f856,f239,f1726,f1723]) ).
tff(f895,plain,
( ! [X15: $int] :
( $less(sF3,0)
| $less(X15,0)
| ( div1($sum(sF4,X15),sF3) = $sum(sF3,div1(X15,sF3)) ) )
| ~ spl11_13
| ~ spl11_47 ),
inference(subsumption_resolution,[],[f871,f857]) ).
tff(f871,plain,
( ! [X15: $int] :
( ~ $less(0,sF3)
| ( div1($sum(sF4,X15),sF3) = $sum(sF3,div1(X15,sF3)) )
| $less(sF3,0)
| $less(X15,0) )
| ~ spl11_13 ),
inference(superposition,[],[f151,f240]) ).
tff(f1710,plain,
( spl11_104
| ~ spl11_7
| ~ spl11_102 ),
inference(avatar_split_clause,[],[f1679,f1671,f211,f1708]) ).
tff(f1671,plain,
( spl11_102
<=> $less($sum(sK0,sF10),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_102])]) ).
tff(f1679,plain,
( $less($sum(sK0,sF10),sF4)
| ~ spl11_7
| ~ spl11_102 ),
inference(resolution,[],[f1672,f360]) ).
tff(f1672,plain,
( $less($sum(sK0,sF10),sK0)
| ~ spl11_102 ),
inference(avatar_component_clause,[],[f1671]) ).
tff(f1685,plain,
( spl11_97
| ~ spl11_10
| ~ spl11_102 ),
inference(avatar_split_clause,[],[f1678,f1671,f224,f1564]) ).
tff(f1678,plain,
( $less($sum(sK0,sF10),sF10)
| ~ spl11_10
| ~ spl11_102 ),
inference(resolution,[],[f1672,f362]) ).
tff(f1684,plain,
( spl11_103
| ~ spl11_8
| ~ spl11_102 ),
inference(avatar_split_clause,[],[f1677,f1671,f215,f1682]) ).
tff(f1677,plain,
( $less($sum(sK0,sF10),sF6)
| ~ spl11_8
| ~ spl11_102 ),
inference(resolution,[],[f1672,f361]) ).
tff(f1673,plain,
( spl11_102
| ~ spl11_23
| ~ spl11_80 ),
inference(avatar_split_clause,[],[f1556,f1313,f397,f1671]) ).
tff(f1556,plain,
( $less($sum(sK0,sF10),sK0)
| ~ spl11_23
| ~ spl11_80 ),
inference(resolution,[],[f1314,f431]) ).
tff(f1314,plain,
( $less($sum(sK0,sF10),0)
| ~ spl11_80 ),
inference(avatar_component_clause,[],[f1313]) ).
tff(f1669,plain,
( spl11_101
| ~ spl11_1
| ~ spl11_80 ),
inference(avatar_split_clause,[],[f1555,f1313,f187,f1667]) ).
tff(f1555,plain,
( $less($sum(sK0,sF10),sK2)
| ~ spl11_1
| ~ spl11_80 ),
inference(resolution,[],[f1314,f357]) ).
tff(f1665,plain,
( spl11_53
| spl11_100
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f1215,f982,f264,f191,f1663,f951]) ).
tff(f1215,plain,
( ! [X2: $int] :
( $less(X2,0)
| ( 0 = sK1 )
| ~ $less(abs1($sum(X2,sF10)),abs1($product(sK1,$sum(sK1,div1(X2,sK1))))) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f653,f1143]) ).
tff(f1617,plain,
( spl11_94
| ~ spl11_2
| ~ spl11_80 ),
inference(avatar_split_clause,[],[f1554,f1313,f191,f1521]) ).
tff(f1521,plain,
( spl11_94
<=> $less($sum(sK0,sF10),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_94])]) ).
tff(f1554,plain,
( $less($sum(sK0,sF10),sK1)
| ~ spl11_2
| ~ spl11_80 ),
inference(resolution,[],[f1314,f358]) ).
tff(f1615,plain,
( ~ spl11_84
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(avatar_split_clause,[],[f1609,f1276,f982,f264,f191,f1367]) ).
tff(f1609,plain,
( ~ $less(sF10,$sum(sK1,div1(0,sK1)))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(subsumption_resolution,[],[f1601,f1277]) ).
tff(f1601,plain,
( $less(sF10,0)
| ~ $less(sF10,$sum(sK1,div1(0,sK1)))
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(evaluation,[],[f1591]) ).
tff(f1591,plain,
( ~ $less(sF10,$sum(sK1,div1(0,sK1)))
| $less(sF10,0)
| $less(0,0)
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1223,f274]) ).
tff(f1587,plain,
( spl11_99
| ~ spl11_18 ),
inference(avatar_split_clause,[],[f1044,f260,f1585]) ).
tff(f1044,plain,
( ( sF8 = $sum($product(2,sK2),mod1(sF8,2)) )
| ~ spl11_18 ),
inference(evaluation,[],[f1034]) ).
tff(f1034,plain,
( ( 0 = 2 )
| ( sF8 = $sum($product(2,sK2),mod1(sF8,2)) )
| ~ spl11_18 ),
inference(superposition,[],[f128,f261]) ).
tff(f1583,plain,
( ~ spl11_98
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f1573,f982,f264,f191,f1581]) ).
tff(f1573,plain,
( ~ $less(sF10,sK1)
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(subsumption_resolution,[],[f1572,f192]) ).
tff(f1572,plain,
( ~ $less(0,sK1)
| ~ $less(sF10,sK1)
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(evaluation,[],[f1568]) ).
tff(f1568,plain,
( $less(0,0)
| ~ $less(0,sK1)
| ~ $less(sF10,sK1)
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1562,f49]) ).
tff(f1566,plain,
( spl11_97
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_80 ),
inference(avatar_split_clause,[],[f1553,f1313,f982,f264,f191,f1564]) ).
tff(f1553,plain,
( $less($sum(sK0,sF10),sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_80 ),
inference(resolution,[],[f1314,f1404]) ).
tff(f1561,plain,
( spl11_53
| spl11_96
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f1186,f982,f264,f191,f1559,f951]) ).
tff(f1186,plain,
( ! [X3: $int] :
( $less(0,$sum(X3,sF10))
| $less(X3,0)
| ( 0 = sK1 )
| ~ $less(0,mod1(X3,sK1)) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f159,f1130]) ).
tff(f1542,plain,
( spl11_93
| spl11_95
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_77 ),
inference(avatar_split_clause,[],[f1537,f1303,f982,f264,f191,f1540,f1518]) ).
tff(f1540,plain,
( spl11_95
<=> $less($sum(sK1,sF7),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_95])]) ).
tff(f1537,plain,
( $less($sum(sK1,sF7),sF10)
| ( 0 = $sum(sK1,sF7) )
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_77 ),
inference(resolution,[],[f1304,f1426]) ).
tff(f1304,plain,
( ~ $less(0,$sum(sK1,sF7))
| spl11_77 ),
inference(avatar_component_clause,[],[f1303]) ).
tff(f1524,plain,
( spl11_78
| ~ spl11_77
| ~ spl11_2
| spl11_5
| ~ spl11_16
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f1511,f982,f264,f251,f203,f191,f1303,f1306]) ).
tff(f1306,plain,
( spl11_78
<=> $less(0,$sum(sK0,sF10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_78])]) ).
tff(f1511,plain,
( ~ $less(0,$sum(sK1,sF7))
| $less(0,$sum(sK0,sF10))
| ~ spl11_2
| spl11_5
| ~ spl11_16
| ~ spl11_19
| spl11_58 ),
inference(subsumption_resolution,[],[f1504,f204]) ).
tff(f1504,plain,
( $less(0,$sum(sK0,sF10))
| ~ $less(0,$sum(sK1,sF7))
| $less(sK0,0)
| ~ spl11_2
| ~ spl11_16
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1225,f252]) ).
tff(f1523,plain,
( spl11_80
| spl11_93
| ~ spl11_94
| ~ spl11_2
| spl11_5
| ~ spl11_16
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f1422,f982,f264,f251,f203,f191,f1521,f1518,f1313]) ).
tff(f1422,plain,
( ~ $less($sum(sK0,sF10),sK1)
| ( 0 = $sum(sK1,sF7) )
| $less($sum(sK0,sF10),0)
| ~ spl11_2
| spl11_5
| ~ spl11_16
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f1421,f47]) ).
tff(f1421,plain,
( ~ $less($sum(sK0,sF10),sK1)
| $less($sum(sF10,sK0),0)
| ( 0 = $sum(sK1,sF7) )
| ~ spl11_2
| spl11_5
| ~ spl11_16
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f1420,f47]) ).
tff(f1420,plain,
( ~ $less($sum(sF10,sK0),sK1)
| ( 0 = $sum(sK1,sF7) )
| $less($sum(sF10,sK0),0)
| ~ spl11_2
| spl11_5
| ~ spl11_16
| ~ spl11_19
| spl11_58 ),
inference(subsumption_resolution,[],[f1409,f204]) ).
tff(f1409,plain,
( $less($sum(sF10,sK0),0)
| $less(sK0,0)
| ~ $less($sum(sF10,sK0),sK1)
| ( 0 = $sum(sK1,sF7) )
| ~ spl11_2
| ~ spl11_16
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1145,f252]) ).
tff(f1516,plain,
( spl11_92
| ~ spl11_7
| ~ spl11_82 ),
inference(avatar_split_clause,[],[f1453,f1330,f211,f1514]) ).
tff(f1453,plain,
( $less($uminus(sF10),sF4)
| ~ spl11_7
| ~ spl11_82 ),
inference(resolution,[],[f1331,f360]) ).
tff(f1497,plain,
( spl11_80
| ~ spl11_79
| ~ spl11_2
| spl11_5
| ~ spl11_16
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f1493,f982,f264,f251,f203,f191,f1310,f1313]) ).
tff(f1493,plain,
( ~ $less($sum(sK1,sF7),0)
| $less($sum(sK0,sF10),0)
| ~ spl11_2
| spl11_5
| ~ spl11_16
| ~ spl11_19
| spl11_58 ),
inference(subsumption_resolution,[],[f1486,f204]) ).
tff(f1486,plain,
( $less($sum(sK0,sF10),0)
| ~ $less($sum(sK1,sF7),0)
| $less(sK0,0)
| ~ spl11_2
| ~ spl11_16
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1221,f252]) ).
tff(f1496,plain,
( spl11_86
| ~ spl11_10
| ~ spl11_82 ),
inference(avatar_split_clause,[],[f1452,f1330,f224,f1430]) ).
tff(f1452,plain,
( $less($uminus(sF10),sF10)
| ~ spl11_10
| ~ spl11_82 ),
inference(resolution,[],[f1331,f362]) ).
tff(f1459,plain,
( spl11_91
| ~ spl11_8
| ~ spl11_82 ),
inference(avatar_split_clause,[],[f1451,f1330,f215,f1457]) ).
tff(f1451,plain,
( $less($uminus(sF10),sF6)
| ~ spl11_8
| ~ spl11_82 ),
inference(resolution,[],[f1331,f361]) ).
tff(f1450,plain,
( spl11_53
| spl11_90
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f1156,f982,f264,f191,f1448,f951]) ).
tff(f1156,plain,
( ! [X0: $int] :
( $less(X0,0)
| ( $sum(sF10,X0) = $sum(mod1($sum(sF10,X0),sK1),$product(sK1,$sum(sK1,div1(X0,sK1)))) )
| ( 0 = sK1 ) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f1146,f47]) ).
tff(f1146,plain,
( ! [X0: $int] :
( ( 0 = sK1 )
| $less(X0,0)
| ( $sum($product(sK1,$sum(sK1,div1(X0,sK1))),mod1($sum(sF10,X0),sK1)) = $sum(sF10,X0) ) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f128,f1119]) ).
tff(f1445,plain,
( ~ spl11_88
| spl11_89
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f1403,f982,f264,f191,f1443,f1440]) ).
tff(f1403,plain,
( ! [X0: $int] :
( ~ $less(sF10,X0)
| ~ $less(X0,0)
| ~ $less(1,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(evaluation,[],[f1394]) ).
tff(f1394,plain,
( ! [X0: $int] :
( ~ $less(X0,0)
| ~ $less(1,sK1)
| ~ $less(sF10,X0)
| $less(1,0) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(resolution,[],[f1321,f64]) ).
tff(f1436,plain,
( spl11_53
| spl11_87
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f1140,f982,f264,f191,f1434,f951]) ).
tff(f1140,plain,
( ! [X0: $int] :
( ( $sum(mod1(X0,sK1),$product(sK1,div1($sum(sF10,X0),sK1))) = $sum(sF10,X0) )
| $less(X0,0)
| ( 0 = sK1 ) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f1133,f47]) ).
tff(f1133,plain,
( ! [X0: $int] :
( $less(X0,0)
| ( 0 = sK1 )
| ( $sum($product(sK1,div1($sum(sF10,X0),sK1)),mod1(X0,sK1)) = $sum(sF10,X0) ) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f128,f1116]) ).
tff(f1432,plain,
( spl11_86
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_68 ),
inference(avatar_split_clause,[],[f1427,f1173,f982,f264,f191,f1430]) ).
tff(f1427,plain,
( $less($uminus(sF10),sF10)
| ~ spl11_2
| ~ spl11_19
| spl11_58
| ~ spl11_68 ),
inference(resolution,[],[f1404,f1174]) ).
tff(f1393,plain,
( spl11_80
| ~ spl11_85
| ~ spl11_2
| spl11_5
| ~ spl11_16
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f1356,f982,f264,f251,f203,f191,f1391,f1313]) ).
tff(f1356,plain,
( ~ $less($sum(sK0,sF10),$sum(sK1,sF7))
| $less($sum(sK0,sF10),0)
| ~ spl11_2
| spl11_5
| ~ spl11_16
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f1355,f47]) ).
tff(f1355,plain,
( $less($sum(sF10,sK0),0)
| ~ $less($sum(sK0,sF10),$sum(sK1,sF7))
| ~ spl11_2
| spl11_5
| ~ spl11_16
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f1354,f47]) ).
tff(f1354,plain,
( ~ $less($sum(sF10,sK0),$sum(sK1,sF7))
| $less($sum(sF10,sK0),0)
| ~ spl11_2
| spl11_5
| ~ spl11_16
| ~ spl11_19
| spl11_58 ),
inference(subsumption_resolution,[],[f1350,f204]) ).
tff(f1350,plain,
( $less(sK0,0)
| ~ $less($sum(sF10,sK0),$sum(sK1,sF7))
| $less($sum(sF10,sK0),0)
| ~ spl11_2
| ~ spl11_16
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1153,f252]) ).
tff(f1369,plain,
( ~ spl11_84
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(avatar_split_clause,[],[f1357,f1276,f982,f264,f191,f1367]) ).
tff(f1357,plain,
( ~ $less(sF10,$sum(sK1,div1(0,sK1)))
| ~ spl11_2
| ~ spl11_19
| spl11_58
| spl11_74 ),
inference(subsumption_resolution,[],[f1353,f1277]) ).
tff(f1353,plain,
( ~ $less(sF10,$sum(sK1,div1(0,sK1)))
| $less(sF10,0)
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(evaluation,[],[f1342]) ).
tff(f1342,plain,
( $less(sF10,0)
| $less(0,0)
| ~ $less(sF10,$sum(sK1,div1(0,sK1)))
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1153,f49]) ).
tff(f1365,plain,
( spl11_83
| spl11_53
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f1147,f982,f264,f191,f951,f1363]) ).
tff(f1147,plain,
( ! [X1: $int] :
( ( 0 = sK1 )
| $less(X1,0)
| ~ $less(abs1($sum(sF10,X1)),abs1($product(sK1,$sum(sK1,div1(X1,sK1))))) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f653,f1119]) ).
tff(f1332,plain,
( spl11_82
| ~ spl11_23
| ~ spl11_68 ),
inference(avatar_split_clause,[],[f1271,f1173,f397,f1330]) ).
tff(f1271,plain,
( $less($uminus(sF10),sK0)
| ~ spl11_23
| ~ spl11_68 ),
inference(resolution,[],[f1174,f431]) ).
tff(f1319,plain,
( spl11_81
| ~ spl11_1
| ~ spl11_68 ),
inference(avatar_split_clause,[],[f1270,f1173,f187,f1317]) ).
tff(f1270,plain,
( $less($uminus(sF10),sK2)
| ~ spl11_1
| ~ spl11_68 ),
inference(resolution,[],[f1174,f357]) ).
tff(f1315,plain,
( ~ spl11_79
| spl11_80
| ~ spl11_2
| spl11_5
| ~ spl11_16
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f1267,f982,f264,f251,f203,f191,f1313,f1310]) ).
tff(f1267,plain,
( $less($sum(sK0,sF10),0)
| ~ $less($sum(sK1,sF7),0)
| ~ spl11_2
| spl11_5
| ~ spl11_16
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f1266,f47]) ).
tff(f1266,plain,
( ~ $less($sum(sK1,sF7),0)
| $less($sum(sF10,sK0),0)
| ~ spl11_2
| spl11_5
| ~ spl11_16
| ~ spl11_19
| spl11_58 ),
inference(subsumption_resolution,[],[f1263,f204]) ).
tff(f1263,plain,
( ~ $less($sum(sK1,sF7),0)
| $less(sK0,0)
| $less($sum(sF10,sK0),0)
| ~ spl11_2
| ~ spl11_16
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1155,f252]) ).
tff(f1308,plain,
( ~ spl11_77
| spl11_78
| ~ spl11_2
| spl11_5
| ~ spl11_16
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f1257,f982,f264,f251,f203,f191,f1306,f1303]) ).
tff(f1257,plain,
( $less(0,$sum(sK0,sF10))
| ~ $less(0,$sum(sK1,sF7))
| ~ spl11_2
| spl11_5
| ~ spl11_16
| ~ spl11_19
| spl11_58 ),
inference(forward_demodulation,[],[f1256,f47]) ).
tff(f1256,plain,
( $less(0,$sum(sF10,sK0))
| ~ $less(0,$sum(sK1,sF7))
| ~ spl11_2
| spl11_5
| ~ spl11_16
| ~ spl11_19
| spl11_58 ),
inference(subsumption_resolution,[],[f1251,f204]) ).
tff(f1251,plain,
( ~ $less(0,$sum(sK1,sF7))
| $less(0,$sum(sF10,sK0))
| $less(sK0,0)
| ~ spl11_2
| ~ spl11_16
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1154,f252]) ).
tff(f1301,plain,
( spl11_53
| spl11_76
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f1135,f982,f264,f191,f1299,f951]) ).
tff(f1135,plain,
( ! [X2: $int] :
( $less(0,$sum(sF10,X2))
| ( 0 = sK1 )
| $less(X2,0)
| ~ $less(0,mod1(X2,sK1)) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f159,f1116]) ).
tff(f1297,plain,
( spl11_75
| ~ spl11_2
| ~ spl11_68 ),
inference(avatar_split_clause,[],[f1269,f1173,f191,f1295]) ).
tff(f1269,plain,
( $less($uminus(sF10),sK1)
| ~ spl11_2
| ~ spl11_68 ),
inference(resolution,[],[f1174,f358]) ).
tff(f1278,plain,
( ~ spl11_74
| ~ spl11_68 ),
inference(avatar_split_clause,[],[f1274,f1173,f1276]) ).
tff(f1274,plain,
( ~ $less(sF10,0)
| ~ spl11_68 ),
inference(subsumption_resolution,[],[f1273,f155]) ).
tff(f1273,plain,
( $less(abs1(sF10),0)
| ~ $less(sF10,0)
| ~ spl11_68 ),
inference(superposition,[],[f1174,f127]) ).
tff(f1242,plain,
( spl11_73
| ~ spl11_7
| ~ spl11_66 ),
inference(avatar_split_clause,[],[f1196,f1166,f211,f1240]) ).
tff(f1196,plain,
( $less(sF8,sF4)
| ~ spl11_7
| ~ spl11_66 ),
inference(resolution,[],[f1167,f360]) ).
tff(f1238,plain,
( spl11_68
| spl11_70
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f1209,f982,f264,f191,f1203,f1173]) ).
tff(f1203,plain,
( spl11_70
<=> ( div1(0,sK1) = $sum(sK1,div1($uminus(sF10),sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_70])]) ).
tff(f1209,plain,
( ( div1(0,sK1) = $sum(sK1,div1($uminus(sF10),sK1)) )
| $less($uminus(sF10),0)
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1143,f267]) ).
tff(f1237,plain,
( ~ spl11_72
| ~ spl11_18 ),
inference(avatar_split_clause,[],[f1042,f260,f1235]) ).
tff(f1042,plain,
( ~ $less(abs1(sF8),abs1($product(2,sK2)))
| ~ spl11_18 ),
inference(evaluation,[],[f1035]) ).
tff(f1035,plain,
( ~ $less(abs1(sF8),abs1($product(2,sK2)))
| ( 0 = 2 )
| ~ spl11_18 ),
inference(superposition,[],[f653,f261]) ).
tff(f1233,plain,
( spl11_67
| spl11_68
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f1179,f982,f264,f191,f1173,f1170]) ).
tff(f1170,plain,
( spl11_67
<=> ( mod1($uminus(sF10),sK1) = mod1(0,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_67])]) ).
tff(f1179,plain,
( $less($uminus(sF10),0)
| ( mod1($uminus(sF10),sK1) = mod1(0,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1130,f267]) ).
tff(f1232,plain,
( spl11_65
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f1220,f982,f264,f191,f1162]) ).
tff(f1220,plain,
( ( $sum(sK1,div1(0,sK1)) = div1(sF10,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(evaluation,[],[f1208]) ).
tff(f1208,plain,
( $less(0,0)
| ( $sum(sK1,div1(0,sK1)) = div1(sF10,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1143,f274]) ).
tff(f1231,plain,
( spl11_71
| ~ spl11_10
| ~ spl11_66 ),
inference(avatar_split_clause,[],[f1195,f1166,f224,f1229]) ).
tff(f1195,plain,
( $less(sF8,sF10)
| ~ spl11_10
| ~ spl11_66 ),
inference(resolution,[],[f1167,f362]) ).
tff(f1227,plain,
( spl11_64
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f1190,f982,f264,f191,f1158]) ).
tff(f1190,plain,
( ( mod1(sF10,sK1) = mod1(0,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(evaluation,[],[f1178]) ).
tff(f1178,plain,
( ( mod1(sF10,sK1) = mod1(0,sK1) )
| $less(0,0)
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1130,f274]) ).
tff(f1205,plain,
( spl11_70
| spl11_68
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f1142,f982,f264,f191,f1173,f1203]) ).
tff(f1142,plain,
( $less($uminus(sF10),0)
| ( div1(0,sK1) = $sum(sK1,div1($uminus(sF10),sK1)) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1119,f51]) ).
tff(f1201,plain,
( spl11_69
| ~ spl11_8
| ~ spl11_66 ),
inference(avatar_split_clause,[],[f1194,f1166,f215,f1199]) ).
tff(f1194,plain,
( $less(sF8,sF6)
| ~ spl11_8
| ~ spl11_66 ),
inference(resolution,[],[f1167,f361]) ).
tff(f1175,plain,
( spl11_67
| spl11_68
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f1129,f982,f264,f191,f1173,f1170]) ).
tff(f1129,plain,
( $less($uminus(sF10),0)
| ( mod1($uminus(sF10),sK1) = mod1(0,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1116,f51]) ).
tff(f1168,plain,
( spl11_66
| ~ spl11_23
| ~ spl11_61 ),
inference(avatar_split_clause,[],[f1102,f1094,f397,f1166]) ).
tff(f1102,plain,
( $less(sF8,sK0)
| ~ spl11_23
| ~ spl11_61 ),
inference(resolution,[],[f1095,f431]) ).
tff(f1164,plain,
( spl11_65
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f1152,f982,f264,f191,f1162]) ).
tff(f1152,plain,
( ( $sum(sK1,div1(0,sK1)) = div1(sF10,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(evaluation,[],[f1141]) ).
tff(f1141,plain,
( $less(0,0)
| ( $sum(sK1,div1(0,sK1)) = div1(sF10,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1119,f49]) ).
tff(f1160,plain,
( spl11_64
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(avatar_split_clause,[],[f1139,f982,f264,f191,f1158]) ).
tff(f1139,plain,
( ( mod1(sF10,sK1) = mod1(0,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(evaluation,[],[f1128]) ).
tff(f1128,plain,
( $less(0,0)
| ( mod1(sF10,sK1) = mod1(0,sK1) )
| ~ spl11_2
| ~ spl11_19
| spl11_58 ),
inference(superposition,[],[f1116,f49]) ).
tff(f1125,plain,
( spl11_62
| ~ spl11_1
| ~ spl11_61 ),
inference(avatar_split_clause,[],[f1101,f1094,f187,f1097]) ).
tff(f1101,plain,
( $less(sF8,sK2)
| ~ spl11_1
| ~ spl11_61 ),
inference(resolution,[],[f1095,f357]) ).
tff(f1123,plain,
( spl11_63
| ~ spl11_2
| ~ spl11_61 ),
inference(avatar_split_clause,[],[f1100,f1094,f191,f1121]) ).
tff(f1121,plain,
( spl11_63
<=> $less(sF8,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_63])]) ).
tff(f1100,plain,
( $less(sF8,sK1)
| ~ spl11_2
| ~ spl11_61 ),
inference(resolution,[],[f1095,f358]) ).
tff(f1099,plain,
( spl11_61
| ~ spl11_62
| ~ spl11_18 ),
inference(avatar_split_clause,[],[f525,f260,f1097,f1094]) ).
tff(f525,plain,
( ~ $less(sF8,sK2)
| $less(sF8,0)
| ~ spl11_18 ),
inference(evaluation,[],[f523]) ).
tff(f523,plain,
( ~ $less(sF8,sK2)
| $less(sF8,0)
| ~ $less(0,2)
| ~ spl11_18 ),
inference(superposition,[],[f143,f261]) ).
tff(f1016,plain,
( ~ spl11_2
| ~ spl11_53 ),
inference(avatar_contradiction_clause,[],[f1015]) ).
tff(f1015,plain,
( $false
| ~ spl11_2
| ~ spl11_53 ),
inference(evaluation,[],[f998]) ).
tff(f998,plain,
( $less(0,0)
| ~ spl11_2
| ~ spl11_53 ),
inference(backward_demodulation,[],[f192,f952]) ).
tff(f952,plain,
( ( 0 = sK1 )
| ~ spl11_53 ),
inference(avatar_component_clause,[],[f951]) ).
tff(f997,plain,
( ~ spl11_60
| spl11_53
| ~ spl11_18
| ~ spl11_33
| ~ spl11_43
| spl11_58 ),
inference(avatar_split_clause,[],[f993,f982,f808,f587,f260,f951,f995]) ).
tff(f995,plain,
( spl11_60
<=> $less(sK1,2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_60])]) ).
tff(f587,plain,
( spl11_33
<=> ( sK2 = sK1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_33])]) ).
tff(f808,plain,
( spl11_43
<=> ( sF8 = sK1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_43])]) ).
tff(f993,plain,
( ( 0 = sK1 )
| ~ $less(sK1,2)
| ~ spl11_18
| ~ spl11_33
| ~ spl11_43
| spl11_58 ),
inference(forward_demodulation,[],[f992,f588]) ).
tff(f588,plain,
( ( sK2 = sK1 )
| ~ spl11_33 ),
inference(avatar_component_clause,[],[f587]) ).
tff(f992,plain,
( ( 0 = sK2 )
| ~ $less(sK1,2)
| ~ spl11_18
| ~ spl11_43
| spl11_58 ),
inference(subsumption_resolution,[],[f991,f983]) ).
tff(f991,plain,
( ( 0 = sK2 )
| $less(sK1,0)
| ~ $less(sK1,2)
| ~ spl11_18
| ~ spl11_43 ),
inference(forward_demodulation,[],[f990,f809]) ).
tff(f809,plain,
( ( sF8 = sK1 )
| ~ spl11_43 ),
inference(avatar_component_clause,[],[f808]) ).
tff(f990,plain,
( $less(sF8,0)
| ~ $less(sK1,2)
| ( 0 = sK2 )
| ~ spl11_18
| ~ spl11_43 ),
inference(forward_demodulation,[],[f554,f809]) ).
tff(f987,plain,
( ~ spl11_58
| spl11_59
| ~ spl11_36 ),
inference(avatar_split_clause,[],[f942,f605,f985,f982]) ).
tff(f985,plain,
( spl11_59
<=> $less(sF3,1) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_59])]) ).
tff(f605,plain,
( spl11_36
<=> ( $sum(sK1,1) = sF3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_36])]) ).
tff(f942,plain,
( $less(sF3,1)
| ~ $less(sK1,0)
| ~ spl11_36 ),
inference(superposition,[],[f632,f274]) ).
tff(f632,plain,
( ! [X4: $int] :
( $less(sF3,$sum(X4,1))
| ~ $less(sK1,X4) )
| ~ spl11_36 ),
inference(superposition,[],[f55,f606]) ).
tff(f606,plain,
( ( $sum(sK1,1) = sF3 )
| ~ spl11_36 ),
inference(avatar_component_clause,[],[f605]) ).
tff(f980,plain,
( ~ spl11_57
| spl11_48 ),
inference(avatar_split_clause,[],[f920,f907,f978]) ).
tff(f978,plain,
( spl11_57
<=> $less(abs1(sK1),$product(2,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_57])]) ).
tff(f907,plain,
( spl11_48
<=> $less(abs1(sK1),abs1($product(2,sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_48])]) ).
tff(f920,plain,
( ~ $less(abs1(sK1),$product(2,sK1))
| spl11_48 ),
inference(resolution,[],[f908,f149]) ).
tff(f908,plain,
( ~ $less(abs1(sK1),abs1($product(2,sK1)))
| spl11_48 ),
inference(avatar_component_clause,[],[f907]) ).
tff(f975,plain,
( spl11_55
| spl11_56
| ~ spl11_10
| ~ spl11_36 ),
inference(avatar_split_clause,[],[f848,f605,f224,f973,f970]) ).
tff(f848,plain,
( $less(sK1,sF10)
| $less(sK0,sF3)
| ~ spl11_10
| ~ spl11_36 ),
inference(resolution,[],[f629,f362]) ).
tff(f629,plain,
( ! [X1: $int] :
( $less(sK1,X1)
| $less(X1,sF3) )
| ~ spl11_36 ),
inference(superposition,[],[f56,f606]) ).
tff(f964,plain,
( ~ spl11_54
| spl11_5
| spl11_52 ),
inference(avatar_split_clause,[],[f960,f948,f203,f962]) ).
tff(f962,plain,
( spl11_54
<=> $less(sK0,abs1(0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_54])]) ).
tff(f948,plain,
( spl11_52
<=> $less(abs1(sK0),abs1(0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_52])]) ).
tff(f960,plain,
( ~ $less(sK0,abs1(0))
| spl11_5
| spl11_52 ),
inference(subsumption_resolution,[],[f957,f204]) ).
tff(f957,plain,
( $less(sK0,0)
| ~ $less(sK0,abs1(0))
| spl11_52 ),
inference(superposition,[],[f949,f126]) ).
tff(f949,plain,
( ~ $less(abs1(sK0),abs1(0))
| spl11_52 ),
inference(avatar_component_clause,[],[f948]) ).
tff(f953,plain,
( ~ spl11_52
| spl11_53
| ~ spl11_45 ),
inference(avatar_split_clause,[],[f835,f816,f951,f948]) ).
tff(f816,plain,
( spl11_45
<=> ( 0 = div1(sK0,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_45])]) ).
tff(f835,plain,
( ( 0 = sK1 )
| ~ $less(abs1(sK0),abs1(0))
| ~ spl11_45 ),
inference(forward_demodulation,[],[f830,f61]) ).
tff(f830,plain,
( ~ $less(abs1(sK0),abs1($product(sK1,0)))
| ( 0 = sK1 )
| ~ spl11_45 ),
inference(superposition,[],[f653,f817]) ).
tff(f817,plain,
( ( 0 = div1(sK0,sK1) )
| ~ spl11_45 ),
inference(avatar_component_clause,[],[f816]) ).
tff(f937,plain,
( spl11_51
| ~ spl11_2
| ~ spl11_36 ),
inference(avatar_split_clause,[],[f933,f605,f191,f935]) ).
tff(f933,plain,
( $less(1,sF3)
| ~ spl11_2
| ~ spl11_36 ),
inference(subsumption_resolution,[],[f928,f192]) ).
tff(f928,plain,
( $less(1,sF3)
| ~ $less(0,sK1)
| ~ spl11_36 ),
inference(superposition,[],[f631,f274]) ).
tff(f631,plain,
( ! [X3: $int] :
( $less($sum(X3,1),sF3)
| ~ $less(X3,sK1) )
| ~ spl11_36 ),
inference(superposition,[],[f55,f606]) ).
tff(f919,plain,
( ~ spl11_48
| ~ spl11_39
| ~ spl11_43 ),
inference(avatar_split_clause,[],[f903,f808,f623,f907]) ).
tff(f623,plain,
( spl11_39
<=> ( sK1 = div1(sF8,2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_39])]) ).
tff(f903,plain,
( ~ $less(abs1(sK1),abs1($product(2,sK1)))
| ~ spl11_39
| ~ spl11_43 ),
inference(forward_demodulation,[],[f666,f809]) ).
tff(f666,plain,
( ~ $less(abs1(sF8),abs1($product(2,sK1)))
| ~ spl11_39 ),
inference(evaluation,[],[f662]) ).
tff(f662,plain,
( ( 0 = 2 )
| ~ $less(abs1(sF8),abs1($product(2,sK1)))
| ~ spl11_39 ),
inference(superposition,[],[f653,f624]) ).
tff(f624,plain,
( ( sK1 = div1(sF8,2) )
| ~ spl11_39 ),
inference(avatar_component_clause,[],[f623]) ).
tff(f918,plain,
( spl11_49
| spl11_50
| ~ spl11_4
| ~ spl11_36 ),
inference(avatar_split_clause,[],[f847,f605,f199,f916,f913]) ).
tff(f847,plain,
( $less(sK1,sK0)
| $less(3,sF3)
| ~ spl11_4
| ~ spl11_36 ),
inference(resolution,[],[f629,f359]) ).
tff(f909,plain,
( ~ spl11_48
| ~ spl11_44 ),
inference(avatar_split_clause,[],[f828,f812,f907]) ).
tff(f812,plain,
( spl11_44
<=> ( sK1 = div1(sK1,2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_44])]) ).
tff(f828,plain,
( ~ $less(abs1(sK1),abs1($product(2,sK1)))
| ~ spl11_44 ),
inference(evaluation,[],[f821]) ).
tff(f821,plain,
( ~ $less(abs1(sK1),abs1($product(2,sK1)))
| ( 0 = 2 )
| ~ spl11_44 ),
inference(superposition,[],[f653,f813]) ).
tff(f813,plain,
( ( sK1 = div1(sK1,2) )
| ~ spl11_44 ),
inference(avatar_component_clause,[],[f812]) ).
tff(f858,plain,
( spl11_47
| ~ spl11_2
| ~ spl11_36 ),
inference(avatar_split_clause,[],[f850,f605,f191,f856]) ).
tff(f850,plain,
( $less(0,sF3)
| ~ spl11_2
| ~ spl11_36 ),
inference(subsumption_resolution,[],[f842,f52]) ).
tff(f842,plain,
( $less(0,sF3)
| $less(sK1,sK1)
| ~ spl11_2
| ~ spl11_36 ),
inference(resolution,[],[f629,f358]) ).
tff(f854,plain,
( spl11_46
| ~ spl11_36 ),
inference(avatar_split_clause,[],[f840,f605,f852]) ).
tff(f840,plain,
( $less(sK1,sF3)
| ~ spl11_36 ),
inference(resolution,[],[f629,f52]) ).
tff(f818,plain,
( spl11_45
| ~ spl11_16
| ~ spl11_41 ),
inference(avatar_split_clause,[],[f803,f765,f251,f816]) ).
tff(f803,plain,
( ( 0 = div1(sK0,sK1) )
| ~ spl11_16
| ~ spl11_41 ),
inference(backward_demodulation,[],[f252,f766]) ).
tff(f766,plain,
( ( 0 = sF7 )
| ~ spl11_41 ),
inference(avatar_component_clause,[],[f765]) ).
tff(f814,plain,
( spl11_44
| ~ spl11_17
| ~ spl11_39
| ~ spl11_41 ),
inference(avatar_split_clause,[],[f805,f765,f623,f255,f812]) ).
tff(f805,plain,
( ( sK1 = div1(sK1,2) )
| ~ spl11_17
| ~ spl11_39
| ~ spl11_41 ),
inference(backward_demodulation,[],[f624,f804]) ).
tff(f804,plain,
( ( sF8 = sK1 )
| ~ spl11_17
| ~ spl11_41 ),
inference(forward_demodulation,[],[f802,f274]) ).
tff(f802,plain,
( ( $sum(0,sK1) = sF8 )
| ~ spl11_17
| ~ spl11_41 ),
inference(backward_demodulation,[],[f256,f766]) ).
tff(f810,plain,
( spl11_43
| ~ spl11_17
| ~ spl11_41 ),
inference(avatar_split_clause,[],[f804,f765,f255,f808]) ).
tff(f770,plain,
( spl11_41
| ~ spl11_42
| spl11_5
| ~ spl11_16 ),
inference(avatar_split_clause,[],[f564,f251,f203,f768,f765]) ).
tff(f564,plain,
( ~ $less(sK0,sK1)
| ( 0 = sF7 )
| spl11_5
| ~ spl11_16 ),
inference(subsumption_resolution,[],[f561,f204]) ).
tff(f561,plain,
( $less(sK0,0)
| ~ $less(sK0,sK1)
| ( 0 = sF7 )
| ~ spl11_16 ),
inference(superposition,[],[f252,f156]) ).
tff(f649,plain,
( spl11_40
| ~ spl11_36 ),
inference(avatar_split_clause,[],[f634,f605,f644]) ).
tff(f644,plain,
( spl11_40
<=> ( $sum(1,sK1) = sF3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_40])]) ).
tff(f634,plain,
( ( $sum(1,sK1) = sF3 )
| ~ spl11_36 ),
inference(superposition,[],[f47,f606]) ).
tff(f648,plain,
( spl11_40
| ~ spl11_36 ),
inference(avatar_split_clause,[],[f633,f605,f644]) ).
tff(f633,plain,
( ( $sum(1,sK1) = sF3 )
| ~ spl11_36 ),
inference(superposition,[],[f47,f606]) ).
tff(f647,plain,
( spl11_40
| ~ spl11_36 ),
inference(avatar_split_clause,[],[f627,f605,f644]) ).
tff(f627,plain,
( ( $sum(1,sK1) = sF3 )
| ~ spl11_36 ),
inference(superposition,[],[f606,f47]) ).
tff(f646,plain,
( spl11_40
| ~ spl11_36 ),
inference(avatar_split_clause,[],[f626,f605,f644]) ).
tff(f626,plain,
( ( $sum(1,sK1) = sF3 )
| ~ spl11_36 ),
inference(superposition,[],[f606,f47]) ).
tff(f625,plain,
( spl11_39
| ~ spl11_18
| ~ spl11_33 ),
inference(avatar_split_clause,[],[f595,f587,f260,f623]) ).
tff(f595,plain,
( ( sK1 = div1(sF8,2) )
| ~ spl11_18
| ~ spl11_33 ),
inference(backward_demodulation,[],[f261,f588]) ).
tff(f621,plain,
( spl11_38
| ~ spl11_12
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15
| ~ spl11_33 ),
inference(avatar_split_clause,[],[f613,f587,f247,f243,f239,f235,f619]) ).
tff(f619,plain,
( spl11_38
<=> ( sF4 = sF6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_38])]) ).
tff(f613,plain,
( ( sF4 = sF6 )
| ~ spl11_12
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15
| ~ spl11_33 ),
inference(forward_demodulation,[],[f608,f240]) ).
tff(f608,plain,
( ( $product(sF3,sF3) = sF6 )
| ~ spl11_12
| ~ spl11_14
| ~ spl11_15
| ~ spl11_33 ),
inference(backward_demodulation,[],[f248,f603]) ).
tff(f603,plain,
( ( sF5 = sF3 )
| ~ spl11_12
| ~ spl11_14
| ~ spl11_33 ),
inference(backward_demodulation,[],[f244,f594]) ).
tff(f594,plain,
( ( $sum(sK1,1) = sF3 )
| ~ spl11_12
| ~ spl11_33 ),
inference(backward_demodulation,[],[f236,f588]) ).
tff(f612,plain,
( spl11_37
| ~ spl11_12
| ~ spl11_14
| ~ spl11_33 ),
inference(avatar_split_clause,[],[f603,f587,f243,f235,f610]) ).
tff(f610,plain,
( spl11_37
<=> ( sF5 = sF3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_37])]) ).
tff(f607,plain,
( spl11_36
| ~ spl11_12
| ~ spl11_33 ),
inference(avatar_split_clause,[],[f594,f587,f235,f605]) ).
tff(f602,plain,
( spl11_35
| ~ spl11_9
| ~ spl11_33 ),
inference(avatar_split_clause,[],[f596,f587,f219,f600]) ).
tff(f600,plain,
( spl11_35
<=> ( sK1 = sF9 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_35])]) ).
tff(f219,plain,
( spl11_9
<=> ( sK2 = sF9 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_9])]) ).
tff(f596,plain,
( ( sK1 = sF9 )
| ~ spl11_9
| ~ spl11_33 ),
inference(backward_demodulation,[],[f220,f588]) ).
tff(f220,plain,
( ( sK2 = sF9 )
| ~ spl11_9 ),
inference(avatar_component_clause,[],[f219]) ).
tff(f592,plain,
( spl11_33
| spl11_34
| spl11_3 ),
inference(avatar_split_clause,[],[f371,f195,f590,f587]) ).
tff(f195,plain,
( spl11_3
<=> $less(sK2,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_3])]) ).
tff(f371,plain,
( $less(sK1,sK2)
| ( sK2 = sK1 )
| spl11_3 ),
inference(resolution,[],[f54,f196]) ).
tff(f196,plain,
( ~ $less(sK2,sK1)
| spl11_3 ),
inference(avatar_component_clause,[],[f195]) ).
tff(f575,plain,
( spl11_32
| ~ spl11_4
| ~ spl11_10 ),
inference(avatar_split_clause,[],[f510,f224,f199,f573]) ).
tff(f510,plain,
( $less(3,sF10)
| ~ spl11_4
| ~ spl11_10 ),
inference(resolution,[],[f362,f200]) ).
tff(f571,plain,
( spl11_31
| ~ spl11_10
| ~ spl11_23 ),
inference(avatar_split_clause,[],[f509,f397,f224,f569]) ).
tff(f569,plain,
( spl11_31
<=> $less(0,sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_31])]) ).
tff(f509,plain,
( $less(0,sF10)
| ~ spl11_10
| ~ spl11_23 ),
inference(resolution,[],[f362,f398]) ).
tff(f543,plain,
( ~ spl11_30
| ~ spl11_2
| spl11_5
| ~ spl11_16 ),
inference(avatar_split_clause,[],[f539,f251,f203,f191,f541]) ).
tff(f539,plain,
( ~ $less(sF7,0)
| ~ spl11_2
| spl11_5
| ~ spl11_16 ),
inference(subsumption_resolution,[],[f538,f204]) ).
tff(f538,plain,
( ~ $less(sF7,0)
| $less(sK0,0)
| ~ spl11_2
| ~ spl11_16 ),
inference(subsumption_resolution,[],[f536,f192]) ).
tff(f536,plain,
( ~ $less(0,sK1)
| $less(sK0,0)
| ~ $less(sF7,0)
| ~ spl11_16 ),
inference(superposition,[],[f144,f252]) ).
tff(f532,plain,
( ~ spl11_29
| ~ spl11_2
| spl11_5
| ~ spl11_16 ),
inference(avatar_split_clause,[],[f528,f251,f203,f191,f530]) ).
tff(f528,plain,
( ~ $less(sK0,sF7)
| ~ spl11_2
| spl11_5
| ~ spl11_16 ),
inference(subsumption_resolution,[],[f527,f192]) ).
tff(f527,plain,
( ~ $less(0,sK1)
| ~ $less(sK0,sF7)
| spl11_5
| ~ spl11_16 ),
inference(subsumption_resolution,[],[f524,f204]) ).
tff(f524,plain,
( $less(sK0,0)
| ~ $less(sK0,sF7)
| ~ $less(0,sK1)
| ~ spl11_16 ),
inference(superposition,[],[f143,f252]) ).
tff(f520,plain,
( spl11_28
| ~ spl11_1
| ~ spl11_18 ),
inference(avatar_split_clause,[],[f516,f260,f187,f518]) ).
tff(f516,plain,
( $less(0,sF8)
| ~ spl11_1
| ~ spl11_18 ),
inference(subsumption_resolution,[],[f515,f188]) ).
tff(f515,plain,
( $less(0,sF8)
| ~ $less(0,sK2)
| ~ spl11_18 ),
inference(evaluation,[],[f513]) ).
tff(f513,plain,
( ~ $less(0,sK2)
| ~ $less(0,2)
| $less(0,sF8)
| ~ spl11_18 ),
inference(superposition,[],[f140,f261]) ).
tff(f486,plain,
( spl11_27
| ~ spl11_4
| ~ spl11_8 ),
inference(avatar_split_clause,[],[f478,f215,f199,f484]) ).
tff(f478,plain,
( $less(3,sF6)
| ~ spl11_4
| ~ spl11_8 ),
inference(resolution,[],[f361,f200]) ).
tff(f482,plain,
( spl11_26
| ~ spl11_8
| ~ spl11_23 ),
inference(avatar_split_clause,[],[f477,f397,f215,f480]) ).
tff(f477,plain,
( $less(0,sF6)
| ~ spl11_8
| ~ spl11_23 ),
inference(resolution,[],[f361,f398]) ).
tff(f473,plain,
( spl11_25
| ~ spl11_4
| ~ spl11_7 ),
inference(avatar_split_clause,[],[f436,f211,f199,f471]) ).
tff(f436,plain,
( $less(3,sF4)
| ~ spl11_4
| ~ spl11_7 ),
inference(resolution,[],[f360,f200]) ).
tff(f469,plain,
( spl11_24
| ~ spl11_7
| ~ spl11_23 ),
inference(avatar_split_clause,[],[f435,f397,f211,f467]) ).
tff(f435,plain,
( $less(0,sF4)
| ~ spl11_7
| ~ spl11_23 ),
inference(resolution,[],[f360,f398]) ).
tff(f399,plain,
( spl11_23
| spl11_5
| spl11_6 ),
inference(avatar_split_clause,[],[f373,f207,f203,f397]) ).
tff(f373,plain,
( $less(0,sK0)
| spl11_5
| spl11_6 ),
inference(subsumption_resolution,[],[f370,f208]) ).
tff(f370,plain,
( $less(0,sK0)
| ( 0 = sK0 )
| spl11_5 ),
inference(resolution,[],[f54,f204]) ).
tff(f354,plain,
( spl11_21
| ~ spl11_12 ),
inference(avatar_split_clause,[],[f287,f235,f305]) ).
tff(f287,plain,
( ( $sum(1,sK2) = sF3 )
| ~ spl11_12 ),
inference(superposition,[],[f236,f47]) ).
tff(f351,plain,
( spl11_20
| ~ spl11_14 ),
inference(avatar_split_clause,[],[f286,f243,f301]) ).
tff(f286,plain,
( ( $sum(1,sK1) = sF5 )
| ~ spl11_14 ),
inference(superposition,[],[f244,f47]) ).
tff(f336,plain,
( spl11_22
| ~ spl11_17 ),
inference(avatar_split_clause,[],[f283,f255,f309]) ).
tff(f283,plain,
( ( sF8 = $sum(sK1,sF7) )
| ~ spl11_17 ),
inference(superposition,[],[f47,f256]) ).
tff(f335,plain,
( spl11_21
| ~ spl11_12 ),
inference(avatar_split_clause,[],[f282,f235,f305]) ).
tff(f282,plain,
( ( $sum(1,sK2) = sF3 )
| ~ spl11_12 ),
inference(superposition,[],[f47,f236]) ).
tff(f320,plain,
( spl11_20
| ~ spl11_14 ),
inference(avatar_split_clause,[],[f281,f243,f301]) ).
tff(f281,plain,
( ( $sum(1,sK1) = sF5 )
| ~ spl11_14 ),
inference(superposition,[],[f47,f244]) ).
tff(f311,plain,
( spl11_22
| ~ spl11_17 ),
inference(avatar_split_clause,[],[f278,f255,f309]) ).
tff(f278,plain,
( ( sF8 = $sum(sK1,sF7) )
| ~ spl11_17 ),
inference(superposition,[],[f47,f256]) ).
tff(f307,plain,
( spl11_21
| ~ spl11_12 ),
inference(avatar_split_clause,[],[f277,f235,f305]) ).
tff(f277,plain,
( ( $sum(1,sK2) = sF3 )
| ~ spl11_12 ),
inference(superposition,[],[f47,f236]) ).
tff(f303,plain,
( spl11_20
| ~ spl11_14 ),
inference(avatar_split_clause,[],[f276,f243,f301]) ).
tff(f276,plain,
( ( $sum(1,sK1) = sF5 )
| ~ spl11_14 ),
inference(superposition,[],[f47,f244]) ).
tff(f266,plain,
spl11_19,
inference(avatar_split_clause,[],[f176,f264]) ).
tff(f176,plain,
sF10 = $product(sK1,sK1),
introduced(function_definition,[]) ).
tff(f262,plain,
( spl11_18
| ~ spl11_9 ),
inference(avatar_split_clause,[],[f258,f219,f260]) ).
tff(f258,plain,
( ( sK2 = div1(sF8,2) )
| ~ spl11_9 ),
inference(forward_demodulation,[],[f174,f220]) ).
tff(f174,plain,
sF9 = div1(sF8,2),
introduced(function_definition,[]) ).
tff(f257,plain,
spl11_17,
inference(avatar_split_clause,[],[f173,f255]) ).
tff(f173,plain,
sF8 = $sum(sF7,sK1),
introduced(function_definition,[]) ).
tff(f253,plain,
spl11_16,
inference(avatar_split_clause,[],[f172,f251]) ).
tff(f172,plain,
sF7 = div1(sK0,sK1),
introduced(function_definition,[]) ).
tff(f249,plain,
spl11_15,
inference(avatar_split_clause,[],[f170,f247]) ).
tff(f170,plain,
sF6 = $product(sF5,sF5),
introduced(function_definition,[]) ).
tff(f245,plain,
spl11_14,
inference(avatar_split_clause,[],[f169,f243]) ).
tff(f169,plain,
sF5 = $sum(sK1,1),
introduced(function_definition,[]) ).
tff(f241,plain,
spl11_13,
inference(avatar_split_clause,[],[f167,f239]) ).
tff(f167,plain,
$product(sF3,sF3) = sF4,
introduced(function_definition,[]) ).
tff(f237,plain,
spl11_12,
inference(avatar_split_clause,[],[f166,f235]) ).
tff(f166,plain,
sF3 = $sum(sK2,1),
introduced(function_definition,[]) ).
tff(f230,plain,
~ spl11_11,
inference(avatar_split_clause,[],[f142,f228]) ).
tff(f228,plain,
( spl11_11
<=> ( true1 = false1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_11])]) ).
tff(f142,plain,
true1 != false1,
inference(cnf_transformation,[],[f5]) ).
tff(f5,axiom,
true1 != false1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',true_False) ).
tff(f226,plain,
( spl11_10
| ~ spl11_8 ),
inference(avatar_split_clause,[],[f222,f215,f224]) ).
tff(f222,plain,
( $less(sK0,sF10)
| ~ spl11_8 ),
inference(subsumption_resolution,[],[f177,f216]) ).
tff(f177,plain,
( $less(sK0,sF10)
| ~ $less(sK0,sF6) ),
inference(definition_folding,[],[f130,f176,f170,f169,f169]) ).
tff(f130,plain,
( ~ $less(sK0,$product($sum(sK1,1),$sum(sK1,1)))
| $less(sK0,$product(sK1,sK1)) ),
inference(cnf_transformation,[],[f114]) ).
tff(f114,plain,
? [X0: $int] :
( ? [X2: $int,X1: $int] :
( ~ $less(X1,X2)
& $less(0,X2)
& $less(X0,$product($sum(X1,1),$sum(X1,1)))
& ( $less(X0,$product(X2,X2))
| ~ $less(X0,$product($sum(X2,1),$sum(X2,1))) )
& $less(X0,$product($sum(X2,1),$sum(X2,1)))
& ( div1($sum(div1(X0,X2),X2),2) = X1 )
& $less(0,X1) )
& ( 0 != X0 )
& ~ $less(X0,0)
& $less(3,X0) ),
inference(flattening,[],[f113]) ).
tff(f113,plain,
? [X0: $int] :
( ? [X2: $int,X1: $int] :
( ( $less(X0,$product(X2,X2))
| ~ $less(X0,$product($sum(X2,1),$sum(X2,1))) )
& ~ $less(X1,X2)
& ( div1($sum(div1(X0,X2),X2),2) = X1 )
& $less(0,X1)
& $less(X0,$product($sum(X2,1),$sum(X2,1)))
& $less(X0,$product($sum(X1,1),$sum(X1,1)))
& $less(0,X2) )
& $less(3,X0)
& ( 0 != X0 )
& ~ $less(X0,0) ),
inference(ennf_transformation,[],[f74]) ).
tff(f74,plain,
~ ! [X0: $int] :
( ~ $less(X0,0)
=> ( ( 0 != X0 )
=> ( $less(3,X0)
=> ! [X2: $int,X1: $int] :
( ( ( div1($sum(div1(X0,X2),X2),2) = X1 )
& $less(0,X1)
& $less(X0,$product($sum(X2,1),$sum(X2,1)))
& $less(X0,$product($sum(X1,1),$sum(X1,1)))
& $less(0,X2) )
=> ( ~ $less(X1,X2)
=> ( $less(X0,$product($sum(X2,1),$sum(X2,1)))
& ~ $less(X0,$product(X2,X2)) ) ) ) ) ) ),
inference(rectify,[],[f37]) ).
tff(f37,plain,
~ ! [X1: $int] :
( ~ $less(X1,0)
=> ( ( 0 != X1 )
=> ( $less(3,X1)
=> ! [X4: $int,X7: $int] :
( ( $less(0,X4)
& $less(0,X7)
& $less(X1,$product($sum(X7,1),$sum(X7,1)))
& ( div1($sum(div1(X1,X7),X7),2) = X4 )
& $less(X1,$product($sum(X4,1),$sum(X4,1))) )
=> ( ~ $less(X4,X7)
=> ( ~ $less(X1,$product(X7,X7))
& $less(X1,$product($sum(X7,1),$sum(X7,1))) ) ) ) ) ) ),
inference(theory_normalization,[],[f31]) ).
tff(f31,negated_conjecture,
~ ! [X1: $int] :
( $lesseq(0,X1)
=> ( ( 0 != X1 )
=> ( ~ $lesseq(X1,3)
=> ! [X4: $int,X7: $int] :
( ( $less(0,X4)
& $less(0,X7)
& $less(X1,$product($sum(X7,1),$sum(X7,1)))
& ( div1($sum(div1(X1,X7),X7),2) = X4 )
& $less(X1,$product($sum(X4,1),$sum(X4,1))) )
=> ( ~ $less(X4,X7)
=> ( $lesseq($product(X7,X7),X1)
& $less(X1,$product($sum(X7,1),$sum(X7,1))) ) ) ) ) ) ),
inference(negated_conjecture,[],[f30]) ).
tff(f30,conjecture,
! [X1: $int] :
( $lesseq(0,X1)
=> ( ( 0 != X1 )
=> ( ~ $lesseq(X1,3)
=> ! [X4: $int,X7: $int] :
( ( $less(0,X4)
& $less(0,X7)
& $less(X1,$product($sum(X7,1),$sum(X7,1)))
& ( div1($sum(div1(X1,X7),X7),2) = X4 )
& $less(X1,$product($sum(X4,1),$sum(X4,1))) )
=> ( ~ $less(X4,X7)
=> ( $lesseq($product(X7,X7),X1)
& $less(X1,$product($sum(X7,1),$sum(X7,1))) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wP_parameter_sqrt) ).
tff(f221,plain,
spl11_9,
inference(avatar_split_clause,[],[f175,f219]) ).
tff(f175,plain,
sK2 = sF9,
inference(definition_folding,[],[f132,f174,f173,f172]) ).
tff(f132,plain,
sK2 = div1($sum(div1(sK0,sK1),sK1),2),
inference(cnf_transformation,[],[f114]) ).
tff(f217,plain,
spl11_8,
inference(avatar_split_clause,[],[f171,f215]) ).
tff(f171,plain,
$less(sK0,sF6),
inference(definition_folding,[],[f133,f170,f169,f169]) ).
tff(f133,plain,
$less(sK0,$product($sum(sK1,1),$sum(sK1,1))),
inference(cnf_transformation,[],[f114]) ).
tff(f213,plain,
spl11_7,
inference(avatar_split_clause,[],[f168,f211]) ).
tff(f168,plain,
$less(sK0,sF4),
inference(definition_folding,[],[f134,f167,f166,f166]) ).
tff(f134,plain,
$less(sK0,$product($sum(sK2,1),$sum(sK2,1))),
inference(cnf_transformation,[],[f114]) ).
tff(f209,plain,
~ spl11_6,
inference(avatar_split_clause,[],[f139,f207]) ).
tff(f139,plain,
0 != sK0,
inference(cnf_transformation,[],[f114]) ).
tff(f205,plain,
~ spl11_5,
inference(avatar_split_clause,[],[f138,f203]) ).
tff(f138,plain,
~ $less(sK0,0),
inference(cnf_transformation,[],[f114]) ).
tff(f201,plain,
spl11_4,
inference(avatar_split_clause,[],[f137,f199]) ).
tff(f137,plain,
$less(3,sK0),
inference(cnf_transformation,[],[f114]) ).
tff(f197,plain,
~ spl11_3,
inference(avatar_split_clause,[],[f136,f195]) ).
tff(f136,plain,
~ $less(sK2,sK1),
inference(cnf_transformation,[],[f114]) ).
tff(f193,plain,
spl11_2,
inference(avatar_split_clause,[],[f135,f191]) ).
tff(f135,plain,
$less(0,sK1),
inference(cnf_transformation,[],[f114]) ).
tff(f189,plain,
spl11_1,
inference(avatar_split_clause,[],[f131,f187]) ).
tff(f131,plain,
$less(0,sK2),
inference(cnf_transformation,[],[f114]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW609=2 : TPTP v8.1.0. Released v6.1.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n017.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 20:19:20 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.56 % (29999)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.56 % (30015)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.57 % (30007)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.54/0.57 % (29999)Instruction limit reached!
% 1.54/0.57 % (29999)------------------------------
% 1.54/0.57 % (29999)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.58 % (30000)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.54/0.58 % (30000)Instruction limit reached!
% 1.54/0.58 % (30000)------------------------------
% 1.54/0.58 % (30000)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.58 % (30000)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.58 % (30000)Termination reason: Unknown
% 1.54/0.58 % (30000)Termination phase: Preprocessing 2
% 1.54/0.58
% 1.54/0.58 % (30000)Memory used [KB]: 895
% 1.54/0.58 % (30000)Time elapsed: 0.005 s
% 1.54/0.58 % (30000)Instructions burned: 3 (million)
% 1.54/0.58 % (30000)------------------------------
% 1.54/0.58 % (30000)------------------------------
% 1.80/0.59 % (30008)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.80/0.59 % (30016)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.80/0.59 % (29999)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.59 % (29999)Termination reason: Unknown
% 1.80/0.59 % (29999)Termination phase: Saturation
% 1.80/0.59
% 1.80/0.59 % (29999)Memory used [KB]: 5500
% 1.80/0.59 % (29999)Time elapsed: 0.143 s
% 1.80/0.59 % (29999)Instructions burned: 8 (million)
% 1.80/0.59 % (29999)------------------------------
% 1.80/0.59 % (29999)------------------------------
% 1.80/0.61 % (29997)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.80/0.61 % (29994)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.80/0.61 % (30021)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.80/0.62 % (29992)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.80/0.62 % (29992)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.80/0.62 % (29992)Terminated due to inappropriate strategy.
% 1.80/0.62 % (29992)------------------------------
% 1.80/0.62 % (29992)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.62 % (29992)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.62 % (29992)Termination reason: Inappropriate
% 1.80/0.62
% 1.80/0.62 % (29992)Memory used [KB]: 1023
% 1.80/0.62 % (29992)Time elapsed: 0.005 s
% 1.80/0.62 % (29992)Instructions burned: 4 (million)
% 1.80/0.62 % (29992)------------------------------
% 1.80/0.62 % (29992)------------------------------
% 1.80/0.62 % (30010)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.80/0.62 % (30011)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.80/0.62 % (30012)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.80/0.62 % (29996)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.80/0.62 % (30014)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.80/0.62 % (30003)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.80/0.62 % (30006)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.80/0.63 % (30004)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.80/0.63 % (30002)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.80/0.63 % (29998)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.80/0.63 % (30019)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.80/0.63 % (30020)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.80/0.63 % (29995)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.80/0.63 % (30017)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.80/0.63 % (30018)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.80/0.63 % (29998)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.80/0.64 % (29993)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.80/0.64 % (29998)Terminated due to inappropriate strategy.
% 1.80/0.64 % (29998)------------------------------
% 1.80/0.64 % (29998)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.64 % (29998)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.64 % (29998)Termination reason: Inappropriate
% 1.80/0.64
% 1.80/0.64 % (29998)Memory used [KB]: 1023
% 1.80/0.64 % (29998)Time elapsed: 0.008 s
% 1.80/0.64 % (29998)Instructions burned: 5 (million)
% 1.80/0.64 % (29998)------------------------------
% 1.80/0.64 % (29998)------------------------------
% 1.80/0.64 % (30009)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.80/0.64 % (30009)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.80/0.64 % (30009)Terminated due to inappropriate strategy.
% 1.80/0.64 % (30009)------------------------------
% 1.80/0.64 % (30009)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.64 % (30009)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.64 % (30009)Termination reason: Inappropriate
% 1.80/0.64
% 1.80/0.64 % (30009)Memory used [KB]: 1023
% 1.80/0.64 % (30009)Time elapsed: 0.005 s
% 1.80/0.64 % (30009)Instructions burned: 4 (million)
% 1.80/0.64 % (30009)------------------------------
% 1.80/0.64 % (30009)------------------------------
% 1.80/0.64 % (30005)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.80/0.65 % (30001)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.80/0.65 % (30013)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 2.34/0.68 % (30007)Instruction limit reached!
% 2.34/0.68 % (30007)------------------------------
% 2.34/0.68 % (30007)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.34/0.68 % (30007)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.34/0.68 % (30007)Termination reason: Unknown
% 2.34/0.68 % (30007)Termination phase: Saturation
% 2.34/0.68
% 2.34/0.69 % (30007)Memory used [KB]: 2046
% 2.34/0.69 % (30007)Time elapsed: 0.246 s
% 2.34/0.69 % (30007)Instructions burned: 75 (million)
% 2.34/0.69 % (30007)------------------------------
% 2.34/0.69 % (30007)------------------------------
% 2.34/0.70 % (29994)Instruction limit reached!
% 2.34/0.70 % (29994)------------------------------
% 2.34/0.70 % (29994)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.34/0.70 % (29994)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.34/0.70 % (29994)Termination reason: Unknown
% 2.34/0.70 % (29994)Termination phase: Saturation
% 2.34/0.70
% 2.34/0.70 % (29994)Memory used [KB]: 1407
% 2.34/0.70 % (29994)Time elapsed: 0.270 s
% 2.34/0.70 % (29994)Instructions burned: 37 (million)
% 2.34/0.70 % (29994)------------------------------
% 2.34/0.70 % (29994)------------------------------
% 2.84/0.75 % (29997)Instruction limit reached!
% 2.84/0.75 % (29997)------------------------------
% 2.84/0.75 % (29997)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.84/0.75 % (29997)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.84/0.75 % (29997)Termination reason: Unknown
% 2.84/0.75 % (29997)Termination phase: Saturation
% 2.84/0.75
% 2.84/0.75 % (29997)Memory used [KB]: 5884
% 2.84/0.75 % (29997)Time elapsed: 0.316 s
% 2.84/0.75 % (29997)Instructions burned: 48 (million)
% 2.84/0.75 % (29997)------------------------------
% 2.84/0.75 % (29997)------------------------------
% 2.84/0.75 % (30002)Instruction limit reached!
% 2.84/0.75 % (30002)------------------------------
% 2.84/0.75 % (30002)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.84/0.75 % (30002)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.84/0.75 % (30002)Termination reason: Unknown
% 2.84/0.75 % (30002)Termination phase: Saturation
% 2.84/0.75
% 2.84/0.75 % (30002)Memory used [KB]: 6140
% 2.84/0.75 % (30002)Time elapsed: 0.319 s
% 2.84/0.75 % (30002)Instructions burned: 50 (million)
% 2.84/0.75 % (30002)------------------------------
% 2.84/0.75 % (30002)------------------------------
% 2.84/0.76 % (29995)Instruction limit reached!
% 2.84/0.76 % (29995)------------------------------
% 2.84/0.76 % (29995)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.84/0.76 % (29995)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.84/0.76 % (29995)Termination reason: Unknown
% 2.84/0.76 % (29995)Termination phase: Saturation
% 2.84/0.76
% 2.84/0.76 % (29995)Memory used [KB]: 6140
% 2.84/0.76 % (29995)Time elapsed: 0.312 s
% 2.84/0.76 % (29995)Instructions burned: 52 (million)
% 2.84/0.76 % (29995)------------------------------
% 2.84/0.76 % (29995)------------------------------
% 2.84/0.77 % (29996)Instruction limit reached!
% 2.84/0.77 % (29996)------------------------------
% 2.84/0.77 % (29996)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.84/0.77 % (29996)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.84/0.77 % (29996)Termination reason: Unknown
% 2.84/0.77 % (29996)Termination phase: Saturation
% 2.84/0.77
% 2.84/0.77 % (29996)Memory used [KB]: 6012
% 2.84/0.77 % (29996)Time elapsed: 0.332 s
% 2.84/0.77 % (29996)Instructions burned: 51 (million)
% 2.84/0.77 % (29996)------------------------------
% 2.84/0.77 % (29996)------------------------------
% 2.84/0.78 % (30018)Instruction limit reached!
% 2.84/0.78 % (30018)------------------------------
% 2.84/0.78 % (30018)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.84/0.78 % (30018)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.84/0.78 % (30018)Termination reason: Unknown
% 2.84/0.78 % (30018)Termination phase: Saturation
% 2.84/0.78
% 2.84/0.78 % (30018)Memory used [KB]: 6652
% 2.84/0.78 % (30018)Time elapsed: 0.054 s
% 2.84/0.78 % (30018)Instructions burned: 69 (million)
% 2.84/0.78 % (30018)------------------------------
% 2.84/0.78 % (30018)------------------------------
% 2.84/0.79 % (30006)Instruction limit reached!
% 2.84/0.79 % (30006)------------------------------
% 2.84/0.79 % (30006)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.84/0.79 % (30006)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.84/0.79 % (30006)Termination reason: Unknown
% 2.84/0.79 % (30006)Termination phase: Saturation
% 2.84/0.79
% 2.84/0.79 % (30006)Memory used [KB]: 6652
% 2.84/0.79 % (30006)Time elapsed: 0.054 s
% 2.84/0.79 % (30006)Instructions burned: 68 (million)
% 2.84/0.79 % (30006)------------------------------
% 2.84/0.79 % (30006)------------------------------
% 2.84/0.82 % (30052)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/747Mi)
% 2.84/0.83 % (29993)Instruction limit reached!
% 2.84/0.83 % (29993)------------------------------
% 2.84/0.83 % (29993)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.84/0.83 % (29993)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.84/0.83 % (29993)Termination reason: Unknown
% 2.84/0.83 % (29993)Termination phase: Saturation
% 2.84/0.83
% 2.84/0.83 % (29993)Memory used [KB]: 6140
% 2.84/0.83 % (29993)Time elapsed: 0.350 s
% 2.84/0.83 % (29993)Instructions burned: 50 (million)
% 2.84/0.83 % (29993)------------------------------
% 2.84/0.83 % (29993)------------------------------
% 2.84/0.83 % (30001)Instruction limit reached!
% 2.84/0.83 % (30001)------------------------------
% 2.84/0.83 % (30001)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.84/0.83 % (30001)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.84/0.83 % (30001)Termination reason: Unknown
% 2.84/0.83 % (30001)Termination phase: Saturation
% 2.84/0.83
% 2.84/0.83 % (30001)Memory used [KB]: 1535
% 2.84/0.83 % (30001)Time elapsed: 0.332 s
% 2.84/0.83 % (30001)Instructions burned: 51 (million)
% 2.84/0.83 % (30001)------------------------------
% 2.84/0.83 % (30001)------------------------------
% 3.38/0.84 % (30029)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 3.38/0.84 % (30010)Instruction limit reached!
% 3.38/0.84 % (30010)------------------------------
% 3.38/0.84 % (30010)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.38/0.84 % (30010)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.38/0.84 % (30010)Termination reason: Unknown
% 3.38/0.84 % (30010)Termination phase: Saturation
% 3.38/0.84
% 3.38/0.84 % (30010)Memory used [KB]: 6524
% 3.38/0.84 % (30010)Time elapsed: 0.410 s
% 3.38/0.84 % (30010)Instructions burned: 100 (million)
% 3.38/0.84 % (30010)------------------------------
% 3.38/0.84 % (30010)------------------------------
% 3.38/0.85 % (30008)Instruction limit reached!
% 3.38/0.85 % (30008)------------------------------
% 3.38/0.85 % (30008)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.38/0.85 % (30008)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.38/0.85 % (30008)Termination reason: Unknown
% 3.38/0.85 % (30008)Termination phase: Saturation
% 3.38/0.85
% 3.38/0.85 % (30008)Memory used [KB]: 6268
% 3.38/0.85 % (30008)Time elapsed: 0.420 s
% 3.38/0.85 % (30008)Instructions burned: 100 (million)
% 3.38/0.85 % (30008)------------------------------
% 3.38/0.85 % (30008)------------------------------
% 3.38/0.86 % (30004)Instruction limit reached!
% 3.38/0.86 % (30004)------------------------------
% 3.38/0.86 % (30004)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.38/0.86 % (30004)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.38/0.86 % (30004)Termination reason: Unknown
% 3.38/0.86 % (30004)Termination phase: Saturation
% 3.38/0.86
% 3.38/0.86 % (30004)Memory used [KB]: 6524
% 3.38/0.86 % (30004)Time elapsed: 0.430 s
% 3.38/0.86 % (30004)Instructions burned: 101 (million)
% 3.38/0.86 % (30004)------------------------------
% 3.38/0.86 % (30004)------------------------------
% 3.38/0.86 % (30042)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 3.38/0.87 % (30011)Instruction limit reached!
% 3.38/0.87 % (30011)------------------------------
% 3.38/0.87 % (30011)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.38/0.87 % (30011)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.38/0.87 % (30011)Termination reason: Unknown
% 3.38/0.87 % (30011)Termination phase: Saturation
% 3.38/0.87
% 3.38/0.87 % (30011)Memory used [KB]: 1791
% 3.38/0.87 % (30011)Time elapsed: 0.438 s
% 3.38/0.87 % (30011)Instructions burned: 100 (million)
% 3.38/0.87 % (30011)------------------------------
% 3.38/0.87 % (30011)------------------------------
% 3.38/0.87 % (30005)Instruction limit reached!
% 3.38/0.87 % (30005)------------------------------
% 3.38/0.87 % (30005)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.38/0.87 % (30005)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.38/0.87 % (30005)Termination reason: Unknown
% 3.38/0.87 % (30005)Termination phase: Saturation
% 3.38/0.87
% 3.38/0.87 % (30005)Memory used [KB]: 6780
% 3.38/0.87 % (30005)Time elapsed: 0.425 s
% 3.38/0.87 % (30005)Instructions burned: 99 (million)
% 3.38/0.87 % (30005)------------------------------
% 3.38/0.87 % (30005)------------------------------
% 3.66/0.89 % (30045)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 3.66/0.89 % (30003)Instruction limit reached!
% 3.66/0.89 % (30003)------------------------------
% 3.66/0.89 % (30003)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.66/0.89 % (30003)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.66/0.89 % (30003)Termination reason: Unknown
% 3.66/0.89 % (30003)Termination phase: Saturation
% 3.66/0.89
% 3.66/0.89 % (30003)Memory used [KB]: 6780
% 3.66/0.89 % (30003)Time elapsed: 0.447 s
% 3.66/0.89 % (30003)Instructions burned: 101 (million)
% 3.66/0.89 % (30003)------------------------------
% 3.66/0.89 % (30003)------------------------------
% 3.66/0.92 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 3.66/0.92 % (30062)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/981Mi)
% 3.66/0.93 % (30027)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/388Mi)
% 3.66/0.95 % (30013)Instruction limit reached!
% 3.66/0.95 % (30013)------------------------------
% 3.66/0.95 % (30013)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.66/0.95 % (30013)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.66/0.95 % (30013)Termination reason: Unknown
% 3.66/0.95 % (30013)Termination phase: Saturation
% 3.66/0.95
% 3.66/0.95 % (30013)Memory used [KB]: 6780
% 3.66/0.95 % (30013)Time elapsed: 0.494 s
% 3.66/0.95 % (30013)Instructions burned: 139 (million)
% 3.66/0.95 % (30013)------------------------------
% 3.66/0.95 % (30013)------------------------------
% 3.85/0.96 % (30064)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2016Mi)
% 3.90/0.97 % (30012)Instruction limit reached!
% 3.90/0.97 % (30012)------------------------------
% 3.90/0.97 % (30012)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.90/0.98 % (30047)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 3.90/0.98 % (30012)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.90/0.98 % (30012)Termination reason: Unknown
% 3.90/0.98 % (30012)Termination phase: Saturation
% 3.90/0.98
% 3.90/0.98 % (30012)Memory used [KB]: 6908
% 3.90/0.98 % (30012)Time elapsed: 0.537 s
% 3.90/0.98 % (30012)Instructions burned: 176 (million)
% 3.90/0.98 % (30012)------------------------------
% 3.90/0.98 % (30012)------------------------------
% 3.90/1.00 % (30055)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/655Mi)
% 4.04/1.01 % (30063)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/90Mi)
% 4.04/1.02 % (30068)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4756Mi)
% 4.04/1.04 % (30073)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=2134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2134Mi)
% 4.04/1.04 % (30065)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/3735Mi)
% 4.04/1.06 % (30059)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 5.59/1.09 % (30042)Instruction limit reached!
% 5.59/1.09 % (30042)------------------------------
% 5.59/1.09 % (30042)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.59/1.09 % (30042)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.59/1.09 % (30042)Termination reason: Unknown
% 5.59/1.09 % (30042)Termination phase: Saturation
% 5.59/1.09
% 5.59/1.09 % (30042)Memory used [KB]: 6268
% 5.59/1.09 % (30042)Time elapsed: 0.395 s
% 5.59/1.09 % (30042)Instructions burned: 90 (million)
% 5.59/1.09 % (30042)------------------------------
% 5.59/1.09 % (30042)------------------------------
% 5.59/1.10 % (30019)Instruction limit reached!
% 5.59/1.10 % (30019)------------------------------
% 5.59/1.10 % (30019)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.59/1.10 % (30019)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.59/1.10 % (30019)Termination reason: Unknown
% 5.59/1.10 % (30019)Termination phase: Saturation
% 5.59/1.10
% 5.59/1.10 % (30019)Memory used [KB]: 3070
% 5.59/1.10 % (30019)Time elapsed: 0.655 s
% 5.59/1.10 % (30019)Instructions burned: 177 (million)
% 5.59/1.10 % (30019)------------------------------
% 5.59/1.10 % (30019)------------------------------
% 5.59/1.11 % (30074)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2891Mi)
% 5.59/1.11 % (30072)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/1824Mi)
% 5.59/1.12 % (30061)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/940Mi)
% 5.59/1.14 % (30020)Instruction limit reached!
% 5.59/1.14 % (30020)------------------------------
% 5.59/1.14 % (30020)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.59/1.14 % (30020)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.59/1.14 % (30020)Termination reason: Unknown
% 5.59/1.14 % (30020)Termination phase: Saturation
% 5.59/1.14
% 5.59/1.14 % (30020)Memory used [KB]: 9083
% 5.59/1.14 % (30020)Time elapsed: 0.722 s
% 5.59/1.14 % (30020)Instructions burned: 439 (million)
% 5.59/1.14 % (30020)------------------------------
% 5.59/1.14 % (30020)------------------------------
% 5.59/1.15 % (30015)Instruction limit reached!
% 5.59/1.15 % (30015)------------------------------
% 5.59/1.15 % (30015)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.59/1.15 % (30015)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.59/1.15 % (30015)Termination reason: Unknown
% 5.59/1.15 % (30015)Termination phase: Saturation
% 5.59/1.15
% 5.59/1.15 % (30015)Memory used [KB]: 9338
% 5.59/1.15 % (30015)Time elapsed: 0.721 s
% 5.59/1.15 % (30015)Instructions burned: 467 (million)
% 5.59/1.15 % (30015)------------------------------
% 5.59/1.15 % (30015)------------------------------
% 6.31/1.17 % (30076)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/4585Mi)
% 6.31/1.17 % (30070)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4931Mi)
% 6.31/1.18 % (30066)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4958Mi)
% 6.31/1.19 % (30067)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4959Mi)
% 6.31/1.20 % (30085)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=9965:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/9965Mi)
% 6.31/1.20 % (30063)Instruction limit reached!
% 6.31/1.20 % (30063)------------------------------
% 6.31/1.20 % (30063)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.31/1.20 % (30063)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.31/1.20 % (30063)Termination reason: Unknown
% 6.31/1.20 % (30063)Termination phase: Saturation
% 6.31/1.20
% 6.31/1.20 % (30063)Memory used [KB]: 6140
% 6.31/1.20 % (30063)Time elapsed: 0.372 s
% 6.31/1.20 % (30063)Instructions burned: 91 (million)
% 6.31/1.20 % (30063)------------------------------
% 6.31/1.20 % (30063)------------------------------
% 6.64/1.22 % (30071)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/68Mi)
% 6.64/1.24 % (30079)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/90Mi)
% 6.82/1.27 % (30087)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=9877:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/9877Mi)
% 6.82/1.28 % (30059)Instruction limit reached!
% 6.82/1.28 % (30059)------------------------------
% 6.82/1.28 % (30059)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.82/1.28 % (30059)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.82/1.28 % (30059)Termination reason: Unknown
% 6.82/1.28 % (30059)Termination phase: Saturation
% 6.82/1.28
% 6.82/1.28 % (30059)Memory used [KB]: 6652
% 6.82/1.28 % (30059)Time elapsed: 0.057 s
% 6.82/1.28 % (30059)Instructions burned: 69 (million)
% 6.82/1.28 % (30059)------------------------------
% 6.82/1.28 % (30059)------------------------------
% 7.60/1.44 % (30083)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/8004Mi)
% 7.99/1.46 % (30082)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/2016Mi)
% 8.11/1.48 % (30021)Instruction limit reached!
% 8.11/1.48 % (30021)------------------------------
% 8.11/1.48 % (30021)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.11/1.48 % (30021)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.11/1.48 % (30021)Termination reason: Unknown
% 8.11/1.48 % (30021)Termination phase: Saturation
% 8.11/1.48
% 8.11/1.48 % (30021)Memory used [KB]: 9083
% 8.11/1.48 % (30021)Time elapsed: 1.050 s
% 8.11/1.48 % (30021)Instructions burned: 356 (million)
% 8.11/1.48 % (30021)------------------------------
% 8.11/1.48 % (30021)------------------------------
% 8.11/1.49 % (30079)Instruction limit reached!
% 8.11/1.49 % (30079)------------------------------
% 8.11/1.49 % (30079)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.11/1.49 % (30079)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.11/1.49 % (30079)Termination reason: Unknown
% 8.11/1.49 % (30079)Termination phase: Saturation
% 8.11/1.49
% 8.11/1.49 % (30079)Memory used [KB]: 6268
% 8.11/1.49 % (30079)Time elapsed: 0.427 s
% 8.11/1.49 % (30079)Instructions burned: 91 (million)
% 8.11/1.49 % (30079)------------------------------
% 8.11/1.49 % (30079)------------------------------
% 8.40/1.55 % (30071)Instruction limit reached!
% 8.40/1.55 % (30071)------------------------------
% 8.40/1.55 % (30071)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.40/1.55 % (30071)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.40/1.55 % (30071)Termination reason: Unknown
% 8.40/1.55 % (30071)Termination phase: Saturation
% 8.40/1.55
% 8.40/1.55 % (30071)Memory used [KB]: 6652
% 8.40/1.55 % (30071)Time elapsed: 0.059 s
% 8.40/1.55 % (30071)Instructions burned: 68 (million)
% 8.40/1.55 % (30071)------------------------------
% 8.40/1.55 % (30071)------------------------------
% 8.61/1.56 % (30093)ins+10_1:16_bce=on:fde=unused:igpr=on:igs=35:igwr=on:sp=const_frequency:tgt=full:to=lpo:i=9902:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/9902Mi)
% 8.61/1.56 % (30098)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/1824Mi)
% 8.61/1.57 % (30029)Instruction limit reached!
% 8.61/1.57 % (30029)------------------------------
% 8.61/1.57 % (30029)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.61/1.57 % (30029)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.61/1.57 % (30029)Termination reason: Unknown
% 8.61/1.57 % (30029)Termination phase: Saturation
% 8.61/1.57
% 8.61/1.57 % (30029)Memory used [KB]: 3326
% 8.61/1.57 % (30029)Time elapsed: 0.867 s
% 8.61/1.57 % (30029)Instructions burned: 212 (million)
% 8.61/1.57 % (30029)------------------------------
% 8.61/1.57 % (30029)------------------------------
% 8.61/1.63 % (30101)ott-11_1:32_i=9707:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/9707Mi)
% 9.01/1.65 % (30100)dis+2_1:64_add=large:bce=on:bd=off:i=9989:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/9989Mi)
% 9.01/1.66 % (30104)ott+3_1:1_abs=on:anc=none:bs=on:fsr=off:spb=goal_then_units:i=44001:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/44001Mi)
% 9.01/1.68 % (30103)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/90Mi)
% 11.18/1.79 % (30014)Instruction limit reached!
% 11.18/1.79 % (30014)------------------------------
% 11.18/1.79 % (30014)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.18/1.79 % (30014)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.18/1.79 % (30014)Termination reason: Unknown
% 11.18/1.79 % (30014)Termination phase: Saturation
% 11.18/1.79
% 11.18/1.79 % (30014)Memory used [KB]: 2686
% 11.18/1.79 % (30014)Time elapsed: 1.342 s
% 11.18/1.79 % (30014)Instructions burned: 500 (million)
% 11.18/1.79 % (30014)------------------------------
% 11.18/1.79 % (30014)------------------------------
% 11.18/1.81 % (30016)Instruction limit reached!
% 11.18/1.81 % (30016)------------------------------
% 11.18/1.81 % (30016)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.18/1.81 % (30016)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.18/1.81 % (30016)Termination reason: Unknown
% 11.18/1.81 % (30016)Termination phase: Saturation
% 11.18/1.81
% 11.18/1.81 % (30016)Memory used [KB]: 9338
% 11.18/1.81 % (30016)Time elapsed: 1.354 s
% 11.18/1.81 % (30016)Instructions burned: 482 (million)
% 11.18/1.81 % (30016)------------------------------
% 11.18/1.81 % (30016)------------------------------
% 11.68/1.84 % (30103)Instruction limit reached!
% 11.68/1.84 % (30103)------------------------------
% 11.68/1.84 % (30103)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.68/1.84 % (30103)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.68/1.84 % (30103)Termination reason: Unknown
% 11.68/1.84 % (30103)Termination phase: Saturation
% 11.68/1.84
% 11.68/1.84 % (30103)Memory used [KB]: 6268
% 11.68/1.84 % (30103)Time elapsed: 0.247 s
% 11.68/1.84 % (30103)Instructions burned: 91 (million)
% 11.68/1.84 % (30103)------------------------------
% 11.68/1.84 % (30103)------------------------------
% 11.68/1.90 % (30197)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2985ds/4958Mi)
% 12.28/1.92 % (30211)ott+1_27:428_av=off:awrs=converge:awrsf=8:bsr=unit_only:drc=off:fd=preordered:newcnf=on:nwc=1.5:skr=on:slsq=on:slsqc=2:slsql=off:slsqr=1,4:sp=reverse_frequency:uwa=one_side_constant:i=35256:si=on:rawr=on:rtra=on_0 on theBenchmark for (2985ds/35256Mi)
% 12.28/1.96 % (30052)Instruction limit reached!
% 12.28/1.96 % (30052)------------------------------
% 12.28/1.96 % (30052)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.28/1.96 % (30052)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.28/1.96 % (30052)Termination reason: Unknown
% 12.28/1.96 % (30052)Termination phase: Saturation
% 12.28/1.96
% 12.28/1.96 % (30052)Memory used [KB]: 12537
% 12.28/1.96 % (30052)Time elapsed: 1.161 s
% 12.28/1.96 % (30052)Instructions burned: 747 (million)
% 12.28/1.96 % (30052)------------------------------
% 12.28/1.96 % (30052)------------------------------
% 12.69/1.98 % (30027)Instruction limit reached!
% 12.69/1.98 % (30027)------------------------------
% 12.69/1.98 % (30027)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.69/1.98 % (30027)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.69/1.98 % (30027)Termination reason: Unknown
% 12.69/1.98 % (30027)Termination phase: Saturation
% 12.69/1.98
% 12.69/1.98 % (30027)Memory used [KB]: 8315
% 12.69/1.98 % (30027)Time elapsed: 1.309 s
% 12.69/1.98 % (30027)Instructions burned: 388 (million)
% 12.69/1.98 % (30027)------------------------------
% 12.69/1.98 % (30027)------------------------------
% 12.69/1.98 % (30230)dis+1002_1:1_fde=unused:nwc=10.0:s2a=on:s2at=3.0:sac=on:i=32293:si=on:rawr=on:rtra=on_0 on theBenchmark for (2985ds/32293Mi)
% 12.69/2.01 % (30017)Instruction limit reached!
% 12.69/2.01 % (30017)------------------------------
% 12.69/2.01 % (30017)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.69/2.01 % (30017)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.69/2.01 % (30017)Termination reason: Unknown
% 12.69/2.01 % (30017)Termination phase: Saturation
% 12.69/2.01
% 12.69/2.01 % (30017)Memory used [KB]: 9978
% 12.69/2.01 % (30017)Time elapsed: 1.536 s
% 12.69/2.01 % (30017)Instructions burned: 500 (million)
% 12.69/2.01 % (30017)------------------------------
% 12.69/2.01 % (30017)------------------------------
% 13.34/2.09 % (30264)ott+21_1:28_afr=on:anc=all_dependent:bs=on:bsr=unit_only:nicw=on:sp=const_frequency:uhcvi=on:i=37001:si=on:rawr=on:rtra=on_0 on theBenchmark for (2984ds/37001Mi)
% 13.34/2.11 % (30272)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=10187:si=on:rawr=on:rtra=on_0 on theBenchmark for (2983ds/10187Mi)
% 13.34/2.11 % (30055)Instruction limit reached!
% 13.34/2.11 % (30055)------------------------------
% 13.34/2.11 % (30055)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 13.60/2.12 % (30055)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 13.60/2.12 % (30055)Termination reason: Unknown
% 13.60/2.12 % (30055)Termination phase: Saturation
% 13.60/2.12
% 13.60/2.12 % (30055)Memory used [KB]: 3070
% 13.60/2.12 % (30055)Time elapsed: 1.333 s
% 13.60/2.12 % (30055)Instructions burned: 657 (million)
% 13.60/2.12 % (30055)------------------------------
% 13.60/2.12 % (30055)------------------------------
% 13.74/2.16 % (30281)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=29337:si=on:rawr=on:rtra=on_0 on theBenchmark for (2983ds/29337Mi)
% 14.77/2.27 % (30326)ins+10_1:16_bce=on:fde=unused:igpr=on:igs=35:igwr=on:sp=const_frequency:tgt=full:to=lpo:i=10147:si=on:rawr=on:rtra=on_0 on theBenchmark for (2982ds/10147Mi)
% 16.36/2.46 % (30062)Instruction limit reached!
% 16.36/2.46 % (30062)------------------------------
% 16.36/2.46 % (30062)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 16.36/2.48 % (30062)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 16.36/2.48 % (30062)Termination reason: Unknown
% 16.36/2.48 % (30062)Termination phase: Saturation
% 16.36/2.48
% 16.36/2.48 % (30062)Memory used [KB]: 14967
% 16.36/2.48 % (30062)Time elapsed: 1.644 s
% 16.36/2.48 % (30062)Instructions burned: 981 (million)
% 16.36/2.48 % (30062)------------------------------
% 16.36/2.48 % (30062)------------------------------
% 17.58/2.61 % (30339)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=38056:si=on:rawr=on:rtra=on_0 on theBenchmark for (2978ds/38056Mi)
% 17.58/2.63 % (30339)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 17.58/2.63 % (30339)Terminated due to inappropriate strategy.
% 17.58/2.63 % (30339)------------------------------
% 17.58/2.63 % (30339)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 17.58/2.63 % (30339)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 17.58/2.63 % (30339)Termination reason: Inappropriate
% 17.58/2.63
% 17.58/2.63 % (30339)Memory used [KB]: 1023
% 17.58/2.63 % (30339)Time elapsed: 0.004 s
% 17.58/2.63 % (30339)Instructions burned: 4 (million)
% 17.58/2.63 % (30339)------------------------------
% 17.58/2.63 % (30339)------------------------------
% 18.56/2.73 % (30045)Instruction limit reached!
% 18.56/2.73 % (30045)------------------------------
% 18.56/2.73 % (30045)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 18.56/2.73 % (30045)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 18.56/2.73 % (30045)Termination reason: Unknown
% 18.56/2.73 % (30045)Termination phase: Saturation
% 18.56/2.73
% 18.56/2.73 % (30045)Memory used [KB]: 10874
% 18.56/2.73 % (30045)Time elapsed: 1.907 s
% 18.56/2.73 % (30045)Instructions burned: 921 (million)
% 18.56/2.73 % (30045)------------------------------
% 18.56/2.73 % (30045)------------------------------
% 18.82/2.76 % (30340)fmb+10_1:1_dr=on:fmbsr=2.0:newcnf=on:nm=2:i=33239:si=on:rawr=on:rtra=on_0 on theBenchmark for (2977ds/33239Mi)
% 18.82/2.77 % (30340)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 18.82/2.77 % (30340)Terminated due to inappropriate strategy.
% 18.82/2.77 % (30340)------------------------------
% 18.82/2.77 % (30340)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 18.82/2.77 % (30340)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 18.82/2.77 % (30340)Termination reason: Inappropriate
% 18.82/2.77
% 18.82/2.77 % (30340)Memory used [KB]: 895
% 18.82/2.77 % (30340)Time elapsed: 0.004 s
% 18.82/2.77 % (30340)Instructions burned: 4 (million)
% 18.82/2.77 % (30340)------------------------------
% 18.82/2.77 % (30340)------------------------------
% 19.53/2.88 % (30341)fmb+10_1:1_fmbas=predicate:gsp=on:nm=2:i=20987:si=on:rawr=on:rtra=on_0 on theBenchmark for (2976ds/20987Mi)
% 19.53/2.88 % (30342)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=49917:si=on:rawr=on:rtra=on_0 on theBenchmark for (2975ds/49917Mi)
% 19.53/2.88 % (30342)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 19.53/2.88 % (30342)Terminated due to inappropriate strategy.
% 19.53/2.88 % (30342)------------------------------
% 19.53/2.88 % (30342)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 19.53/2.89 % (30342)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 19.53/2.89 % (30342)Termination reason: Inappropriate
% 19.53/2.89
% 19.53/2.89 % (30342)Memory used [KB]: 1023
% 19.53/2.89 % (30342)Time elapsed: 0.008 s
% 19.53/2.89 % (30342)Instructions burned: 3 (million)
% 19.53/2.89 % (30342)------------------------------
% 19.53/2.89 % (30342)------------------------------
% 20.06/2.90 % (30341)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 20.06/2.90 % (30341)Terminated due to inappropriate strategy.
% 20.06/2.90 % (30341)------------------------------
% 20.06/2.90 % (30341)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 20.06/2.90 % (30341)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 20.06/2.90 % (30341)Termination reason: Inappropriate
% 20.06/2.90
% 20.06/2.90 % (30341)Memory used [KB]: 1023
% 20.06/2.90 % (30341)Time elapsed: 0.004 s
% 20.06/2.90 % (30341)Instructions burned: 4 (million)
% 20.06/2.90 % (30341)------------------------------
% 20.06/2.90 % (30341)------------------------------
% 20.06/2.92 % (30047)Instruction limit reached!
% 20.06/2.92 % (30047)------------------------------
% 20.06/2.92 % (30047)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 20.06/2.92 % (30047)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 20.06/2.92 % (30047)Termination reason: Unknown
% 20.06/2.92 % (30047)Termination phase: Saturation
% 20.06/2.92
% 20.06/2.92 % (30047)Memory used [KB]: 12920
% 20.06/2.92 % (30047)Time elapsed: 2.053 s
% 20.06/2.92 % (30047)Instructions burned: 934 (million)
% 20.06/2.92 % (30047)------------------------------
% 20.06/2.92 % (30047)------------------------------
% 20.63/2.98 % (30061)Instruction limit reached!
% 20.63/2.98 % (30061)------------------------------
% 20.63/2.98 % (30061)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 20.63/2.98 % (30061)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 20.63/2.98 % (30061)Termination reason: Unknown
% 20.63/2.98 % (30061)Termination phase: Saturation
% 20.63/2.98
% 20.63/2.98 % (30061)Memory used [KB]: 12920
% 20.63/2.98 % (30061)Time elapsed: 2.173 s
% 20.63/2.98 % (30061)Instructions burned: 940 (million)
% 20.63/2.98 % (30061)------------------------------
% 20.63/2.98 % (30061)------------------------------
% 20.63/3.00 % (30343)dis+2_1:64_add=large:bce=on:bd=off:i=19144:si=on:rawr=on:rtra=on_0 on theBenchmark for (2974ds/19144Mi)
% 20.63/3.03 % (30344)dis+10_1:128_bd=off:lcm=predicate:sac=on:sp=reverse_arity:urr=on:i=27492:si=on:rawr=on:rtra=on_0 on theBenchmark for (2974ds/27492Mi)
% 20.63/3.06 % (30345)ott-11_1:32_i=6101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2974ds/6101Mi)
% 21.31/3.08 % (30072)Instruction limit reached!
% 21.31/3.08 % (30072)------------------------------
% 21.31/3.08 % (30072)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 21.31/3.08 % (30072)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 21.31/3.08 % (30072)Termination reason: Unknown
% 21.31/3.08 % (30072)Termination phase: Saturation
% 21.31/3.08
% 21.31/3.08 % (30072)Memory used [KB]: 3198
% 21.31/3.08 % (30072)Time elapsed: 2.095 s
% 21.31/3.08 % (30072)Instructions burned: 1825 (million)
% 21.31/3.08 % (30072)------------------------------
% 21.31/3.08 % (30072)------------------------------
% 21.75/3.13 % (30346)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2973ds/90Mi)
% 21.75/3.22 % (30347)ott+11_1:128_av=off:bd=off:bsr=unit_only:fd=preordered:to=lpo:updr=off:i=91600:si=on:rawr=on:rtra=on_0 on theBenchmark for (2972ds/91600Mi)
% 22.42/3.29 % (30346)Instruction limit reached!
% 22.42/3.29 % (30346)------------------------------
% 22.42/3.29 % (30346)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 22.85/3.31 % (30346)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 22.85/3.31 % (30346)Termination reason: Unknown
% 22.85/3.31 % (30346)Termination phase: Saturation
% 22.85/3.31
% 22.85/3.31 % (30346)Memory used [KB]: 6268
% 22.85/3.31 % (30346)Time elapsed: 0.248 s
% 22.85/3.31 % (30346)Instructions burned: 92 (million)
% 22.85/3.31 % (30346)------------------------------
% 22.85/3.31 % (30346)------------------------------
% 23.35/3.43 % (30348)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=7127:si=on:rawr=on:rtra=on_0 on theBenchmark for (2970ds/7127Mi)
% 27.61/3.92 % (30064)Instruction limit reached!
% 27.61/3.92 % (30064)------------------------------
% 27.61/3.92 % (30064)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 27.61/3.92 % (30064)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 27.61/3.92 % (30064)Termination reason: Unknown
% 27.61/3.92 % (30064)Termination phase: Saturation
% 27.61/3.92
% 27.61/3.92 % (30064)Memory used [KB]: 5884
% 27.61/3.92 % (30064)Time elapsed: 3.092 s
% 27.61/3.92 % (30064)Instructions burned: 2017 (million)
% 27.61/3.92 % (30064)------------------------------
% 27.61/3.92 % (30064)------------------------------
% 28.85/4.01 % (30098)Instruction limit reached!
% 28.85/4.01 % (30098)------------------------------
% 28.85/4.01 % (30098)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 28.85/4.01 % (30098)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 28.85/4.01 % (30098)Termination reason: Unknown
% 28.85/4.01 % (30098)Termination phase: Saturation
% 28.85/4.01
% 28.85/4.01 % (30098)Memory used [KB]: 3965
% 28.85/4.01 % (30098)Time elapsed: 2.678 s
% 28.85/4.01 % (30098)Instructions burned: 1824 (million)
% 28.85/4.01 % (30098)------------------------------
% 28.85/4.01 % (30098)------------------------------
% 28.85/4.05 % (30349)ott+1_27:428_av=off:awrs=converge:awrsf=8:bsr=unit_only:drc=off:fd=preordered:newcnf=on:nwc=1.5:skr=on:slsq=on:slsqc=2:slsql=off:slsqr=1,4:sp=reverse_frequency:uwa=one_side_constant:i=35256:si=on:rawr=on:rtra=on_0 on theBenchmark for (2964ds/35256Mi)
% 29.25/4.15 % (30350)dis+1002_1:1_fde=unused:nwc=10.0:s2a=on:s2at=3.0:sac=on:i=32293:si=on:rawr=on:rtra=on_0 on theBenchmark for (2963ds/32293Mi)
% 31.94/4.40 % (30073)Instruction limit reached!
% 31.94/4.40 % (30073)------------------------------
% 31.94/4.40 % (30073)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 31.94/4.40 % (30073)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 31.94/4.40 % (30073)Termination reason: Unknown
% 31.94/4.40 % (30073)Termination phase: Saturation
% 31.94/4.40
% 31.94/4.40 % (30073)Memory used [KB]: 17782
% 31.94/4.40 % (30073)Time elapsed: 3.449 s
% 31.94/4.40 % (30073)Instructions burned: 2134 (million)
% 31.94/4.40 % (30073)------------------------------
% 31.94/4.40 % (30073)------------------------------
% 31.94/4.44 % (30082)Instruction limit reached!
% 31.94/4.44 % (30082)------------------------------
% 31.94/4.44 % (30082)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 31.94/4.44 % (30082)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 31.94/4.44 % (30082)Termination reason: Unknown
% 31.94/4.44 % (30082)Termination phase: Saturation
% 31.94/4.44
% 31.94/4.44 % (30082)Memory used [KB]: 5884
% 31.94/4.44 % (30082)Time elapsed: 3.263 s
% 31.94/4.44 % (30082)Instructions burned: 2016 (million)
% 31.94/4.44 % (30082)------------------------------
% 31.94/4.44 % (30082)------------------------------
% 32.86/4.55 % (30351)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=29337:si=on:rawr=on:rtra=on_0 on theBenchmark for (2959ds/29337Mi)
% 33.23/4.57 % (30352)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=99860:si=on:rawr=on:rtra=on_0 on theBenchmark for (2959ds/99860Mi)
% 33.23/4.60 % (30352)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 33.23/4.60 % (30352)Terminated due to inappropriate strategy.
% 33.23/4.60 % (30352)------------------------------
% 33.23/4.60 % (30352)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 33.23/4.60 % (30352)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 33.23/4.60 % (30352)Termination reason: Inappropriate
% 33.23/4.60
% 33.23/4.60 % (30352)Memory used [KB]: 1023
% 33.23/4.60 % (30352)Time elapsed: 0.005 s
% 33.23/4.60 % (30352)Instructions burned: 5 (million)
% 33.23/4.60 % (30352)------------------------------
% 33.23/4.60 % (30352)------------------------------
% 34.29/4.75 % (30353)fmb+10_1:1_fmbas=expand:i=96985:si=on:rawr=on:rtra=on_0 on theBenchmark for (2957ds/96985Mi)
% 34.29/4.75 % (30353)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 34.29/4.75 % (30353)Terminated due to inappropriate strategy.
% 34.29/4.75 % (30353)------------------------------
% 34.29/4.75 % (30353)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 34.29/4.75 % (30353)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 34.29/4.75 % (30353)Termination reason: Inappropriate
% 34.29/4.75
% 34.29/4.75 % (30353)Memory used [KB]: 1023
% 34.29/4.75 % (30353)Time elapsed: 0.004 s
% 34.29/4.75 % (30353)Instructions burned: 3 (million)
% 34.29/4.75 % (30353)------------------------------
% 34.29/4.75 % (30353)------------------------------
% 35.63/4.88 % (30354)fmb+10_1:1_bce=on:dr=on:fmbsr=1.47:gsp=on:nm=2:skr=on:i=99648:si=on:rawr=on:rtra=on_0 on theBenchmark for (2956ds/99648Mi)
% 35.63/4.91 % (30354)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 35.63/4.91 % (30354)Terminated due to inappropriate strategy.
% 35.63/4.91 % (30354)------------------------------
% 35.63/4.91 % (30354)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 35.63/4.91 % (30354)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 35.63/4.91 % (30354)Termination reason: Inappropriate
% 35.63/4.91
% 35.63/4.91 % (30354)Memory used [KB]: 1023
% 35.63/4.91 % (30354)Time elapsed: 0.004 s
% 35.63/4.91 % (30354)Instructions burned: 4 (million)
% 35.63/4.91 % (30354)------------------------------
% 35.63/4.91 % (30354)------------------------------
% 37.16/5.05 % (30355)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=99882:si=on:rawr=on:rtra=on_0 on theBenchmark for (2954ds/99882Mi)
% 37.16/5.06 % (30355)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 37.28/5.06 % (30355)Terminated due to inappropriate strategy.
% 37.28/5.06 % (30355)------------------------------
% 37.28/5.06 % (30355)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 37.28/5.06 % (30355)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 37.28/5.06 % (30355)Termination reason: Inappropriate
% 37.28/5.06
% 37.28/5.06 % (30355)Memory used [KB]: 1023
% 37.28/5.06 % (30355)Time elapsed: 0.006 s
% 37.28/5.06 % (30355)Instructions burned: 5 (million)
% 37.28/5.06 % (30355)------------------------------
% 37.28/5.06 % (30355)------------------------------
% 38.03/5.20 % (30356)fmb+10_1:1_bce=on:fmbas=predicate:fmbsr=1.5:fmbsso=preprocessed_usage:nm=4:skr=on:i=99913:si=on:rawr=on:rtra=on_0 on theBenchmark for (2952ds/99913Mi)
% 38.03/5.21 % (30356)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 38.03/5.22 % (30356)Terminated due to inappropriate strategy.
% 38.03/5.22 % (30356)------------------------------
% 38.03/5.22 % (30356)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 38.03/5.22 % (30356)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 38.03/5.22 % (30356)Termination reason: Inappropriate
% 38.03/5.22
% 38.03/5.22 % (30356)Memory used [KB]: 1023
% 38.03/5.22 % (30356)Time elapsed: 0.004 s
% 38.03/5.22 % (30356)Instructions burned: 5 (million)
% 38.03/5.22 % (30356)------------------------------
% 38.03/5.22 % (30356)------------------------------
% 39.10/5.35 % (30074)Instruction limit reached!
% 39.10/5.35 % (30074)------------------------------
% 39.10/5.35 % (30074)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 39.10/5.35 % (30074)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 39.10/5.35 % (30074)Termination reason: Unknown
% 39.10/5.35 % (30074)Termination phase: Saturation
% 39.10/5.35
% 39.10/5.35 % (30074)Memory used [KB]: 20212
% 39.10/5.35 % (30074)Time elapsed: 4.370 s
% 39.10/5.35 % (30074)Instructions burned: 2891 (million)
% 39.10/5.35 % (30074)------------------------------
% 39.10/5.35 % (30074)------------------------------
% 39.67/5.37 % (30357)dis+10_1:128_bd=off:lcm=predicate:sac=on:sp=reverse_arity:urr=on:i=28201:si=on:rawr=on:rtra=on_0 on theBenchmark for (2951ds/28201Mi)
% 40.31/5.48 % (30358)ott-11_1:32_i=9707:si=on:rawr=on:rtra=on_0 on theBenchmark for (2950ds/9707Mi)
% 53.89/7.18 % (30065)Instruction limit reached!
% 53.89/7.18 % (30065)------------------------------
% 53.89/7.18 % (30065)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 53.89/7.18 % (30065)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 53.89/7.18 % (30065)Termination reason: Unknown
% 53.89/7.18 % (30065)Termination phase: Saturation
% 53.89/7.18
% 53.89/7.18 % (30065)Memory used [KB]: 35692
% 53.89/7.18 % (30065)Time elapsed: 6.262 s
% 53.89/7.18 % (30065)Instructions burned: 3735 (million)
% 53.89/7.18 % (30065)------------------------------
% 53.89/7.18 % (30065)------------------------------
% 54.80/7.34 % (30359)ott+11_1:128_av=off:bd=off:bsr=unit_only:fd=preordered:to=lpo:updr=off:i=144582:si=on:rawr=on:rtra=on_0 on theBenchmark for (2931ds/144582Mi)
% 55.84/7.42 % (30066)Instruction limit reached!
% 55.84/7.42 % (30066)------------------------------
% 55.84/7.42 % (30066)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 55.84/7.43 % (30066)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 55.84/7.43 % (30066)Termination reason: Unknown
% 55.84/7.43 % (30066)Termination phase: Saturation
% 55.84/7.43
% 55.84/7.43 % (30066)Memory used [KB]: 5884
% 55.84/7.43 % (30066)Time elapsed: 6.409 s
% 55.84/7.43 % (30066)Instructions burned: 4958 (million)
% 55.84/7.43 % (30066)------------------------------
% 55.84/7.43 % (30066)------------------------------
% 57.08/7.56 % (30360)ott+1_27:428_av=off:awrs=converge:awrsf=8:bsr=unit_only:drc=off:fd=preordered:newcnf=on:nwc=1.5:skr=on:slsq=on:slsqc=2:slsql=off:slsqr=1,4:sp=reverse_frequency:uwa=one_side_constant:i=35256:si=on:rawr=on:rtra=on_0 on theBenchmark for (2929ds/35256Mi)
% 59.83/7.92 % (30197)Instruction limit reached!
% 59.83/7.92 % (30197)------------------------------
% 59.83/7.92 % (30197)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 59.83/7.94 % (30197)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 59.83/7.94 % (30197)Termination reason: Unknown
% 59.83/7.94 % (30197)Termination phase: Saturation
% 59.83/7.94
% 59.83/7.94 % (30197)Memory used [KB]: 6140
% 59.83/7.94 % (30197)Time elapsed: 6.092 s
% 59.83/7.94 % (30197)Instructions burned: 4960 (million)
% 59.83/7.94 % (30197)------------------------------
% 59.83/7.94 % (30197)------------------------------
% 61.10/8.05 % (30076)Instruction limit reached!
% 61.10/8.05 % (30076)------------------------------
% 61.10/8.05 % (30076)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 61.10/8.07 % (30361)dis+1002_1:1_fde=unused:nwc=10.0:s2a=on:s2at=3.0:sac=on:i=104647:si=on:rawr=on:rtra=on_0 on theBenchmark for (2924ds/104647Mi)
% 61.10/8.07 % (30076)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 61.10/8.07 % (30076)Termination reason: Unknown
% 61.10/8.07 % (30076)Termination phase: Saturation
% 61.10/8.07
% 61.10/8.07 % (30076)Memory used [KB]: 40809
% 61.10/8.07 % (30076)Time elapsed: 7.031 s
% 61.10/8.07 % (30076)Instructions burned: 4585 (million)
% 61.10/8.07 % (30076)------------------------------
% 61.10/8.07 % (30076)------------------------------
% 62.12/8.20 % (30362)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=146146:si=on:rawr=on:rtra=on_0 on theBenchmark for (2922ds/146146Mi)
% 62.12/8.21 % (30362)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 62.12/8.21 % (30362)Terminated due to inappropriate strategy.
% 62.12/8.21 % (30362)------------------------------
% 62.12/8.21 % (30362)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 62.12/8.21 % (30362)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 62.12/8.21 % (30362)Termination reason: Inappropriate
% 62.12/8.21
% 62.12/8.21 % (30362)Memory used [KB]: 895
% 62.12/8.21 % (30362)Time elapsed: 0.008 s
% 62.12/8.21 % (30362)Instructions burned: 3 (million)
% 62.12/8.21 % (30362)------------------------------
% 62.12/8.21 % (30362)------------------------------
% 63.53/8.36 % (30363)fmb+10_1:1_fmbas=expand:i=112867:si=on:rawr=on:rtra=on_0 on theBenchmark for (2921ds/112867Mi)
% 63.53/8.36 % (30363)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 63.53/8.36 % (30363)Terminated due to inappropriate strategy.
% 63.53/8.36 % (30363)------------------------------
% 63.53/8.36 % (30363)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 63.53/8.36 % (30363)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 63.53/8.36 % (30363)Termination reason: Inappropriate
% 63.53/8.36
% 63.53/8.36 % (30363)Memory used [KB]: 1023
% 63.53/8.36 % (30363)Time elapsed: 0.003 s
% 63.53/8.36 % (30363)Instructions burned: 3 (million)
% 63.53/8.36 % (30363)------------------------------
% 63.53/8.36 % (30363)------------------------------
% 64.48/8.49 % (30364)fmb+10_1:1_bce=on:dr=on:fmbsr=1.47:gsp=on:nm=2:skr=on:i=133500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2920ds/133500Mi)
% 64.48/8.49 % (30364)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 64.48/8.49 % (30364)Terminated due to inappropriate strategy.
% 64.48/8.49 % (30364)------------------------------
% 64.48/8.49 % (30364)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 64.48/8.49 % (30364)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 64.48/8.49 % (30364)Termination reason: Inappropriate
% 64.48/8.49
% 64.48/8.49 % (30364)Memory used [KB]: 1023
% 64.48/8.49 % (30364)Time elapsed: 0.002 s
% 64.48/8.49 % (30364)Instructions burned: 3 (million)
% 64.48/8.49 % (30364)------------------------------
% 64.48/8.49 % (30364)------------------------------
% 65.91/8.68 % (30365)fmb+10_1:1_fmbsr=2.0:ins=2:i=145423:si=on:rawr=on:rtra=on_0 on theBenchmark for (2918ds/145423Mi)
% 65.91/8.68 % (30365)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 65.91/8.68 % (30365)Terminated due to inappropriate strategy.
% 65.91/8.68 % (30365)------------------------------
% 65.91/8.68 % (30365)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 65.91/8.68 % (30365)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 65.91/8.68 % (30365)Termination reason: Inappropriate
% 65.91/8.68
% 65.91/8.68 % (30365)Memory used [KB]: 895
% 65.91/8.68 % (30365)Time elapsed: 0.004 s
% 65.91/8.68 % (30365)Instructions burned: 3 (million)
% 65.91/8.68 % (30365)------------------------------
% 65.91/8.68 % (30365)------------------------------
% 66.99/8.82 % (30366)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=147928:si=on:rawr=on:rtra=on_0 on theBenchmark for (2916ds/147928Mi)
% 66.99/8.83 % (30366)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 66.99/8.83 % (30366)Terminated due to inappropriate strategy.
% 66.99/8.83 % (30366)------------------------------
% 66.99/8.83 % (30366)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 66.99/8.83 % (30366)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 66.99/8.83 % (30366)Termination reason: Inappropriate
% 66.99/8.83
% 66.99/8.83 % (30366)Memory used [KB]: 1023
% 66.99/8.83 % (30366)Time elapsed: 0.002 s
% 66.99/8.83 % (30366)Instructions burned: 3 (million)
% 66.99/8.83 % (30366)------------------------------
% 66.99/8.83 % (30366)------------------------------
% 68.00/8.94 % (30070)Instruction limit reached!
% 68.00/8.94 % (30070)------------------------------
% 68.00/8.94 % (30070)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 68.20/8.95 % (30070)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 68.20/8.95 % (30070)Termination reason: Unknown
% 68.20/8.95 % (30070)Termination phase: Saturation
% 68.20/8.95
% 68.20/8.95 % (30070)Memory used [KB]: 38890
% 68.20/8.95 % (30070)Time elapsed: 5.907 s
% 68.20/8.95 % (30070)Instructions burned: 4932 (million)
% 68.20/8.95 % (30070)------------------------------
% 68.20/8.95 % (30070)------------------------------
% 68.20/8.98 % (30367)ott+10_1:1_bs=on:fsr=off:gs=on:i=146184:si=on:rawr=on:rtra=on_0 on theBenchmark for (2915ds/146184Mi)
% 68.20/8.99 % (30068)Instruction limit reached!
% 68.20/8.99 % (30068)------------------------------
% 68.20/8.99 % (30068)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 68.20/8.99 % (30068)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 68.20/8.99 % (30068)Termination reason: Unknown
% 68.20/8.99 % (30068)Termination phase: Saturation
% 68.20/8.99
% 68.20/8.99 % (30068)Memory used [KB]: 28272
% 68.20/8.99 % (30068)Time elapsed: 8.075 s
% 68.20/8.99 % (30068)Instructions burned: 4756 (million)
% 68.20/8.99 % (30068)------------------------------
% 68.20/8.99 % (30068)------------------------------
% 68.81/9.06 % (30368)ott+11_1:128_av=off:bd=off:bsr=unit_only:fd=preordered:to=lpo:updr=off:i=260001:si=on:rawr=on:rtra=on_0 on theBenchmark for (2914ds/260001Mi)
% 69.22/9.14 % (30369)ott+10_1:1_i=496751:si=on:rawr=on:rtra=on_0 on theBenchmark for (2913ds/496751Mi)
% 69.93/9.20 % (30067)Instruction limit reached!
% 69.93/9.20 % (30067)------------------------------
% 69.93/9.20 % (30067)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 69.93/9.21 % (30067)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 69.93/9.21 % (30067)Termination reason: Unknown
% 69.93/9.21 % (30067)Termination phase: Saturation
% 69.93/9.21
% 69.93/9.21 % (30067)Memory used [KB]: 34285
% 69.93/9.21 % (30067)Time elapsed: 7.997 s
% 69.93/9.21 % (30067)Instructions burned: 4960 (million)
% 69.93/9.21 % (30067)------------------------------
% 69.93/9.21 % (30067)------------------------------
% 71.33/9.38 % (30370)ott+4_1:1_atotf=0.5:bce=on:ins=1:sp=frequency:spb=units:i=325642:si=on:rawr=on:rtra=on_0 on theBenchmark for (2911ds/325642Mi)
% 93.88/12.18 % (30345)Instruction limit reached!
% 93.88/12.18 % (30345)------------------------------
% 93.88/12.18 % (30345)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 93.88/12.19 % (30345)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 93.88/12.19 % (30345)Termination reason: Unknown
% 93.88/12.19 % (30345)Termination phase: Saturation
% 93.88/12.19
% 93.88/12.19 % (30345)Memory used [KB]: 28912
% 93.88/12.19 % (30345)Time elapsed: 7.722 s
% 93.88/12.19 % (30345)Instructions burned: 6102 (million)
% 93.88/12.19 % (30345)------------------------------
% 93.88/12.19 % (30345)------------------------------
% 94.33/12.24 % (30348)Instruction limit reached!
% 94.33/12.24 % (30348)------------------------------
% 94.33/12.24 % (30348)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 94.33/12.24 % (30348)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 94.33/12.24 % (30348)Termination reason: Unknown
% 94.33/12.24 % (30348)Termination phase: Saturation
% 94.33/12.24
% 94.33/12.24 % (30348)Memory used [KB]: 8443
% 94.33/12.24 % (30348)Time elapsed: 8.787 s
% 94.33/12.24 % (30348)Instructions burned: 7130 (million)
% 94.33/12.24 % (30348)------------------------------
% 94.33/12.24 % (30348)------------------------------
% 95.18/12.33 % (30371)ott+10_1:1_kws=precedence:tgt=ground:i=480001:si=on:rawr=on:rtra=on_0 on theBenchmark for (2881ds/480001Mi)
% 95.18/12.36 % (30372)fmb+10_1:1_bce=on:i=479034:si=on:rawr=on:rtra=on_0 on theBenchmark for (2881ds/479034Mi)
% 95.68/12.39 % (30372)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 95.68/12.39 % (30372)Terminated due to inappropriate strategy.
% 95.68/12.39 % (30372)------------------------------
% 95.68/12.39 % (30372)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 95.68/12.39 % (30372)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 95.68/12.39 % (30372)Termination reason: Inappropriate
% 95.68/12.39
% 95.68/12.39 % (30372)Memory used [KB]: 1023
% 95.68/12.39 % (30372)Time elapsed: 0.005 s
% 95.68/12.39 % (30372)Instructions burned: 5 (million)
% 95.68/12.39 % (30372)------------------------------
% 95.68/12.39 % (30372)------------------------------
% 96.69/12.52 % (30373)fmb+10_1:1_bce=on:dr=on:fmbsr=1.47:gsp=on:nm=2:skr=on:i=452948:si=on:rawr=on:rtra=on_0 on theBenchmark for (2879ds/452948Mi)
% 96.69/12.52 % (30373)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 96.69/12.53 % (30373)Terminated due to inappropriate strategy.
% 96.69/12.53 % (30373)------------------------------
% 96.69/12.53 % (30373)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 96.69/12.53 % (30373)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 96.69/12.53 % (30373)Termination reason: Inappropriate
% 96.69/12.53
% 96.69/12.53 % (30373)Memory used [KB]: 1023
% 96.69/12.53 % (30373)Time elapsed: 0.008 s
% 96.69/12.53 % (30373)Instructions burned: 5 (million)
% 96.69/12.53 % (30373)------------------------------
% 96.69/12.53 % (30373)------------------------------
% 97.48/12.65 % (30374)ott+10_1:1_bs=on:fsr=off:gs=on:i=262660:si=on:rawr=on:rtra=on_0 on theBenchmark for (2878ds/262660Mi)
% 101.11/13.08 % (30085)Instruction limit reached!
% 101.11/13.08 % (30085)------------------------------
% 101.11/13.08 % (30085)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 101.11/13.08 % (30085)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 101.11/13.08 % (30085)Termination reason: Unknown
% 101.11/13.08 % (30085)Termination phase: Saturation
% 101.11/13.08
% 101.11/13.08 % (30085)Memory used [KB]: 9594
% 101.11/13.08 % (30085)Time elapsed: 11.736 s
% 101.11/13.08 % (30085)Instructions burned: 9965 (million)
% 101.11/13.08 % (30085)------------------------------
% 101.11/13.08 % (30085)------------------------------
% 102.26/13.27 % (30375)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:rp=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=255558:si=on:rawr=on:rtra=on_0 on theBenchmark for (2872ds/255558Mi)
% 104.77/13.55 % (30083)Instruction limit reached!
% 104.77/13.55 % (30083)------------------------------
% 104.77/13.55 % (30083)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 104.77/13.55 % (30083)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 104.77/13.55 % (30083)Termination reason: Unknown
% 104.77/13.55 % (30083)Termination phase: Saturation
% 104.77/13.55
% 104.77/13.55 % (30083)Memory used [KB]: 67674
% 104.77/13.55 % (30083)Time elapsed: 12.364 s
% 104.77/13.55 % (30083)Instructions burned: 8006 (million)
% 104.77/13.55 % (30083)------------------------------
% 104.77/13.55 % (30083)------------------------------
% 105.83/13.71 % (30376)ott+11_1:128_av=off:bd=off:bsr=unit_only:fd=preordered:to=lpo:updr=off:i=260001:si=on:rawr=on:rtra=on_0 on theBenchmark for (2867ds/260001Mi)
% 123.19/15.88 % (30093)Instruction limit reached!
% 123.19/15.88 % (30093)------------------------------
% 123.19/15.88 % (30093)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 123.19/15.88 % (30093)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 123.19/15.88 % (30093)Termination reason: Unknown
% 123.19/15.88 % (30093)Termination phase: Saturation
% 123.19/15.88
% 123.19/15.88 % (30093)Memory used [KB]: 91597
% 123.19/15.88 % (30093)Time elapsed: 4.536 s
% 123.19/15.88 % (30093)Instructions burned: 9902 (million)
% 123.19/15.88 % (30093)------------------------------
% 123.19/15.88 % (30093)------------------------------
% 124.39/16.01 % (30780)ott+10_1:1_i=305496:si=on:rawr=on:rtra=on_0 on theBenchmark for (2844ds/305496Mi)
% 126.44/16.30 % (30101)Instruction limit reached!
% 126.44/16.30 % (30101)------------------------------
% 126.44/16.30 % (30101)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 126.44/16.31 % (30101)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 126.44/16.31 % (30101)Termination reason: Unknown
% 126.44/16.31 % (30101)Termination phase: Saturation
% 126.44/16.31
% 126.44/16.31 % (30101)Memory used [KB]: 26481
% 126.44/16.31 % (30101)Time elapsed: 14.768 s
% 126.44/16.31 % (30101)Instructions burned: 9707 (million)
% 126.44/16.31 % (30101)------------------------------
% 126.44/16.31 % (30101)------------------------------
% 128.01/16.47 % (30964)ott+10_1:1_kws=precedence:tgt=ground:i=480001:si=on:rawr=on:rtra=on_0 on theBenchmark for (2840ds/480001Mi)
% 132.47/17.04 % (30100)Instruction limit reached!
% 132.47/17.04 % (30100)------------------------------
% 132.47/17.04 % (30100)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 132.47/17.04 % (30100)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 132.47/17.04 % (30100)Termination reason: Unknown
% 132.47/17.04 % (30100)Termination phase: Saturation
% 132.47/17.04
% 132.47/17.04 % (30100)Memory used [KB]: 73175
% 132.47/17.04 % (30100)Time elapsed: 15.509 s
% 132.47/17.04 % (30100)Instructions burned: 9991 (million)
% 132.47/17.04 % (30100)------------------------------
% 132.47/17.04 % (30100)------------------------------
% 133.87/17.21 % (31009)fmb+10_1:1_bce=on:i=467380:si=on:rawr=on:rtra=on_0 on theBenchmark for (2833ds/467380Mi)
% 133.87/17.21 % (31009)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 133.87/17.21 % (31009)Terminated due to inappropriate strategy.
% 133.87/17.21 % (31009)------------------------------
% 133.87/17.21 % (31009)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 133.87/17.21 % (31009)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 133.87/17.21 % (31009)Termination reason: Inappropriate
% 133.87/17.21
% 133.87/17.21 % (31009)Memory used [KB]: 1023
% 133.87/17.21 % (31009)Time elapsed: 0.008 s
% 133.87/17.21 % (31009)Instructions burned: 4 (million)
% 133.87/17.21 % (31009)------------------------------
% 133.87/17.21 % (31009)------------------------------
% 135.07/17.38 % (31010)fmb+10_1:1_bce=on:dr=on:fmbsr=1.47:gsp=on:nm=2:skr=on:i=492000:si=on:rawr=on:rtra=on_0 on theBenchmark for (2831ds/492000Mi)
% 135.07/17.38 % (31010)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 135.07/17.39 % (31010)Terminated due to inappropriate strategy.
% 135.07/17.39 % (31010)------------------------------
% 135.07/17.39 % (31010)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 135.07/17.39 % (31010)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 135.07/17.39 % (31010)Termination reason: Inappropriate
% 135.07/17.39
% 135.07/17.39 % (31010)Memory used [KB]: 1023
% 135.07/17.39 % (31010)Time elapsed: 0.009 s
% 135.07/17.39 % (31010)Instructions burned: 5 (million)
% 135.07/17.39 % (31010)------------------------------
% 135.07/17.39 % (31010)------------------------------
% 136.36/17.54 % (31011)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:rp=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=255558:si=on:rawr=on:rtra=on_0 on theBenchmark for (2829ds/255558Mi)
% 137.92/17.73 % (30272)Instruction limit reached!
% 137.92/17.73 % (30272)------------------------------
% 137.92/17.73 % (30272)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 138.21/17.73 % (30272)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 138.21/17.73 % (30272)Termination reason: Unknown
% 138.21/17.73 % (30272)Termination phase: Saturation
% 138.21/17.73
% 138.21/17.73 % (30272)Memory used [KB]: 79316
% 138.21/17.73 % (30272)Time elapsed: 15.722 s
% 138.21/17.73 % (30272)Instructions burned: 10188 (million)
% 138.21/17.73 % (30272)------------------------------
% 138.21/17.73 % (30272)------------------------------
% 138.21/17.74 % (30087)Instruction limit reached!
% 138.21/17.74 % (30087)------------------------------
% 138.21/17.74 % (30087)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 138.21/17.76 % (30326)Instruction limit reached!
% 138.21/17.76 % (30326)------------------------------
% 138.21/17.76 % (30326)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 138.21/17.76 % (30326)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 138.21/17.76 % (30326)Termination reason: Unknown
% 138.21/17.76 % (30326)Termination phase: Saturation
% 138.21/17.76
% 138.21/17.76 % (30326)Memory used [KB]: 93900
% 138.21/17.76 % (30326)Time elapsed: 4.820 s
% 138.21/17.76 % (30326)Instructions burned: 10149 (million)
% 138.21/17.76 % (30326)------------------------------
% 138.21/17.76 % (30326)------------------------------
% 138.21/17.76 % (30087)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 138.21/17.76 % (30087)Termination reason: Unknown
% 138.21/17.76 % (30087)Termination phase: Saturation
% 138.21/17.76
% 138.21/17.76 % (30087)Memory used [KB]: 64732
% 138.21/17.76 % (30087)Time elapsed: 16.496 s
% 138.21/17.76 % (30087)Instructions burned: 9878 (million)
% 138.21/17.76 % (30087)------------------------------
% 138.21/17.76 % (30087)------------------------------
% 139.49/17.90 % (31012)ott+10_1:1_i=496751:si=on:rawr=on:rtra=on_0 on theBenchmark for (2825ds/496751Mi)
% 139.49/17.91 % (31014)fmb+10_1:1_bce=on:dr=on:fmbsr=1.47:gsp=on:nm=2:skr=on:i=492000:si=on:rawr=on:rtra=on_0 on theBenchmark for (2825ds/492000Mi)
% 139.49/17.91 % (31013)ott+10_1:1_kws=precedence:tgt=ground:i=285611:si=on:rawr=on:rtra=on_0 on theBenchmark for (2825ds/285611Mi)
% 139.49/17.92 % (31014)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 139.49/17.92 % (31014)Terminated due to inappropriate strategy.
% 139.49/17.92 % (31014)------------------------------
% 139.49/17.92 % (31014)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 139.49/17.92 % (31014)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 139.49/17.92 % (31014)Termination reason: Inappropriate
% 139.49/17.92
% 139.49/17.92 % (31014)Memory used [KB]: 1023
% 139.49/17.92 % (31014)Time elapsed: 0.006 s
% 139.49/17.92 % (31014)Instructions burned: 5 (million)
% 139.49/17.92 % (31014)------------------------------
% 139.49/17.92 % (31014)------------------------------
% 140.77/18.08 % (31015)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on:si=on:rawr=on:rtra=on:rp=on_0 on theBenchmark for (2824ds/191324Mi)
% 140.77/18.08 % (31015)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 140.77/18.09 % (31015)Terminated due to inappropriate strategy.
% 140.77/18.09 % (31015)------------------------------
% 140.77/18.09 % (31015)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 140.77/18.09 % (31015)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 140.77/18.09 % (31015)Termination reason: Inappropriate
% 140.77/18.09
% 140.77/18.09 % (31015)Memory used [KB]: 1023
% 140.77/18.09 % (31015)Time elapsed: 0.008 s
% 140.77/18.09 % (31015)Instructions burned: 5 (million)
% 140.77/18.09 % (31015)------------------------------
% 140.77/18.09 % (31015)------------------------------
% 142.25/18.25 % (31016)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on:si=on:rawr=on:rtra=on:rp=on_0 on theBenchmark for (2822ds/50Mi)
% 142.84/18.34 % (31016)Instruction limit reached!
% 142.84/18.34 % (31016)------------------------------
% 142.84/18.34 % (31016)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 142.84/18.34 % (31016)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 142.84/18.34 % (31016)Termination reason: Unknown
% 142.84/18.34 % (31016)Termination phase: Saturation
% 142.84/18.34
% 142.84/18.34 % (31016)Memory used [KB]: 6140
% 142.84/18.34 % (31016)Time elapsed: 0.170 s
% 142.84/18.34 % (31016)Instructions burned: 50 (million)
% 142.84/18.34 % (31016)------------------------------
% 142.84/18.34 % (31016)------------------------------
% 144.24/18.50 % (31017)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on:si=on:rawr=on:rtra=on:rp=on_0 on theBenchmark for (2820ds/37Mi)
% 144.62/18.56 % (31017)Instruction limit reached!
% 144.62/18.56 % (31017)------------------------------
% 144.62/18.56 % (31017)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 144.62/18.56 % (31017)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 144.62/18.56 % (31017)Termination reason: Unknown
% 144.62/18.56 % (31017)Termination phase: Saturation
% 144.62/18.56
% 144.62/18.56 % (31017)Memory used [KB]: 1407
% 144.62/18.56 % (31017)Time elapsed: 0.151 s
% 144.62/18.56 % (31017)Instructions burned: 38 (million)
% 144.62/18.56 % (31017)------------------------------
% 144.62/18.56 % (31017)------------------------------
% 145.68/18.70 % (31018)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on:si=on:rawr=on:rtra=on:rp=on_0 on theBenchmark for (2817ds/51Mi)
% 146.74/18.82 % (31018)Instruction limit reached!
% 146.74/18.82 % (31018)------------------------------
% 146.74/18.82 % (31018)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 146.74/18.82 % (31018)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 146.74/18.82 % (31018)Termination reason: Unknown
% 146.74/18.82 % (31018)Termination phase: Saturation
% 146.74/18.82
% 146.74/18.82 % (31018)Memory used [KB]: 6140
% 146.74/18.82 % (31018)Time elapsed: 0.204 s
% 146.74/18.82 % (31018)Instructions burned: 52 (million)
% 146.74/18.82 % (31018)------------------------------
% 146.74/18.82 % (31018)------------------------------
% 147.59/18.92 % (31019)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on:si=on:rawr=on:rtra=on:rp=on_0 on theBenchmark for (2815ds/51Mi)
% 147.95/19.00 % (31019)Instruction limit reached!
% 147.95/19.00 % (31019)------------------------------
% 147.95/19.00 % (31019)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 147.95/19.01 % (31019)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 147.95/19.01 % (31019)Termination reason: Unknown
% 147.95/19.01 % (31019)Termination phase: Saturation
% 147.95/19.01
% 147.95/19.01 % (31019)Memory used [KB]: 6140
% 147.95/19.01 % (31019)Time elapsed: 0.130 s
% 147.95/19.01 % (31019)Instructions burned: 52 (million)
% 147.95/19.01 % (31019)------------------------------
% 147.95/19.01 % (31019)------------------------------
% 149.03/19.12 % (31020)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on:si=on:rawr=on:rtra=on:rp=on_0 on theBenchmark for (2813ds/48Mi)
% 149.50/19.21 % (31020)Instruction limit reached!
% 149.50/19.21 % (31020)------------------------------
% 149.50/19.21 % (31020)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 149.50/19.21 % (31020)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 149.50/19.21 % (31020)Termination reason: Unknown
% 149.50/19.21 % (31020)Termination phase: Saturation
% 149.50/19.21
% 149.50/19.21 % (31020)Memory used [KB]: 5884
% 149.50/19.21 % (31020)Time elapsed: 0.157 s
% 149.50/19.21 % (31020)Instructions burned: 48 (million)
% 149.50/19.21 % (31020)------------------------------
% 149.50/19.21 % (31020)------------------------------
% 150.33/19.33 % (31021)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on:si=on:rawr=on:rtra=on:rp=on_0 on theBenchmark for (2811ds/51Mi)
% 150.33/19.33 % (31021)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 150.33/19.34 % (31021)Terminated due to inappropriate strategy.
% 150.33/19.34 % (31021)------------------------------
% 150.33/19.34 % (31021)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 150.33/19.34 % (31021)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 150.33/19.34 % (31021)Termination reason: Inappropriate
% 150.33/19.34
% 150.33/19.34 % (31021)Memory used [KB]: 1023
% 150.33/19.34 % (31021)Time elapsed: 0.005 s
% 150.33/19.34 % (31021)Instructions burned: 5 (million)
% 150.33/19.34 % (31021)------------------------------
% 150.33/19.34 % (31021)------------------------------
% 151.47/19.45 % (31022)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on:si=on:rawr=on:rtra=on:rp=on_0 on theBenchmark for (2810ds/7Mi)
% 151.91/19.48 % (31022)Instruction limit reached!
% 151.91/19.48 % (31022)------------------------------
% 151.91/19.48 % (31022)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 151.91/19.48 % (31022)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 151.91/19.48 % (31022)Termination reason: Unknown
% 151.91/19.48 % (31022)Termination phase: Saturation
% 151.91/19.48
% 151.91/19.48 % (31022)Memory used [KB]: 5500
% 151.91/19.48 % (31022)Time elapsed: 0.109 s
% 151.91/19.48 % (31022)Instructions burned: 8 (million)
% 151.91/19.48 % (31022)------------------------------
% 151.91/19.48 % (31022)------------------------------
% 152.74/19.57 % (31023)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on:si=on:rawr=on:rtra=on:rp=on_0 on theBenchmark for (2808ds/2Mi)
% 152.74/19.57 % (31023)Instruction limit reached!
% 152.74/19.57 % (31023)------------------------------
% 152.74/19.57 % (31023)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 152.74/19.57 % (31023)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 152.74/19.57 % (31023)Termination reason: Unknown
% 152.74/19.57 % (31023)Termination phase: Clausification
% 152.74/19.57
% 152.74/19.57 % (31023)Memory used [KB]: 895
% 152.74/19.57 % (31023)Time elapsed: 0.006 s
% 152.74/19.57 % (31023)Instructions burned: 4 (million)
% 152.74/19.57 % (31023)------------------------------
% 152.74/19.57 % (31023)------------------------------
% 153.45/19.65 % (30358)Instruction limit reached!
% 153.45/19.65 % (30358)------------------------------
% 153.45/19.65 % (30358)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 153.45/19.65 % (30358)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 153.45/19.65 % (30358)Termination reason: Unknown
% 153.45/19.65 % (30358)Termination phase: Saturation
% 153.45/19.65
% 153.45/19.65 % (30358)Memory used [KB]: 23794
% 153.45/19.65 % (30358)Time elapsed: 14.232 s
% 153.45/19.66 % (30358)Instructions burned: 9707 (million)
% 153.45/19.66 % (30358)------------------------------
% 153.45/19.66 % (30358)------------------------------
% 153.45/19.69 % (31024)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on:si=on:rawr=on:rtra=on:rp=on_0 on theBenchmark for (2807ds/51Mi)
% 154.18/19.76 % (31024)Instruction limit reached!
% 154.18/19.76 % (31024)------------------------------
% 154.18/19.76 % (31024)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 154.18/19.76 % (31024)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 154.18/19.76 % (31024)Termination reason: Unknown
% 154.18/19.76 % (31024)Termination phase: Saturation
% 154.18/19.76
% 154.18/19.76 % (31024)Memory used [KB]: 1535
% 154.18/19.76 % (31024)Time elapsed: 0.132 s
% 154.18/19.76 % (31024)Instructions burned: 51 (million)
% 154.18/19.76 % (31024)------------------------------
% 154.18/19.76 % (31024)------------------------------
% 154.18/19.77 % (31025)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on:si=on:rawr=on:rtra=on:rp=on_0 on theBenchmark for (2807ds/50Mi)
% 154.62/19.84 % (31025)Instruction limit reached!
% 154.62/19.84 % (31025)------------------------------
% 154.62/19.84 % (31025)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 154.62/19.84 % (31025)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 154.62/19.84 % (31025)Termination reason: Unknown
% 154.62/19.84 % (31025)Termination phase: Saturation
% 154.62/19.84
% 154.62/19.84 % (31025)Memory used [KB]: 6140
% 154.62/19.84 % (31025)Time elapsed: 0.128 s
% 154.62/19.84 % (31025)Instructions burned: 50 (million)
% 154.62/19.84 % (31025)------------------------------
% 154.62/19.84 % (31025)------------------------------
% 155.09/19.86 % (31026)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on:si=on:rawr=on:rtra=on:rp=on_0 on theBenchmark for (2806ds/100Mi)
% 155.09/19.92 % (31027)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on:si=on:rawr=on:rtra=on:rp=on_0 on theBenchmark for (2805ds/101Mi)
% 155.09/19.95 % (31026)Instruction limit reached!
% 155.09/19.95 % (31026)------------------------------
% 155.09/19.95 % (31026)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 155.09/19.95 % (31026)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 155.09/19.95 % (31026)Termination reason: Unknown
% 155.09/19.95 % (31026)Termination phase: Saturation
% 155.09/19.95
% 155.09/19.95 % (31026)Memory used [KB]: 6780
% 155.09/19.95 % (31026)Time elapsed: 0.140 s
% 155.09/19.95 % (31026)Instructions burned: 100 (million)
% 155.09/19.95 % (31026)------------------------------
% 155.09/19.95 % (31026)------------------------------
% 156.21/20.01 % (31027)Instruction limit reached!
% 156.21/20.01 % (31027)------------------------------
% 156.21/20.01 % (31027)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 156.21/20.01 % (31027)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 156.21/20.01 % (31027)Termination reason: Unknown
% 156.21/20.01 % (31027)Termination phase: Saturation
% 156.21/20.01
% 156.21/20.01 % (31027)Memory used [KB]: 6524
% 156.21/20.01 % (31027)Time elapsed: 0.115 s
% 156.21/20.01 % (31027)Instructions burned: 101 (million)
% 156.21/20.01 % (31027)------------------------------
% 156.21/20.01 % (31027)------------------------------
% 156.21/20.02 % (31028)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on:si=on:rawr=on:rtra=on:rp=on_0 on theBenchmark for (2804ds/99Mi)
% 156.73/20.10 % (31029)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on:si=on:rawr=on:rtra=on:rp=on_0 on theBenchmark for (2803ds/68Mi)
% 156.73/20.12 % (31028)Instruction limit reached!
% 156.73/20.12 % (31028)------------------------------
% 156.73/20.12 % (31028)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 156.73/20.12 % (31028)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 156.73/20.12 % (31028)Termination reason: Unknown
% 156.73/20.12 % (31028)Termination phase: Saturation
% 156.73/20.12
% 156.73/20.12 % (31028)Memory used [KB]: 6652
% 156.73/20.12 % (31028)Time elapsed: 0.112 s
% 156.73/20.12 % (31028)Instructions burned: 99 (million)
% 156.73/20.12 % (31028)------------------------------
% 156.73/20.12 % (31028)------------------------------
% 156.73/20.15 % (31029)Instruction limit reached!
% 156.73/20.15 % (31029)------------------------------
% 156.73/20.15 % (31029)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 156.73/20.15 % (31029)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 156.73/20.15 % (31029)Termination reason: Unknown
% 156.73/20.15 % (31029)Termination phase: Saturation
% 156.73/20.15
% 156.73/20.15 % (31029)Memory used [KB]: 6652
% 156.73/20.15 % (31029)Time elapsed: 0.055 s
% 156.73/20.15 % (31029)Instructions burned: 69 (million)
% 156.73/20.15 % (31029)------------------------------
% 156.73/20.15 % (31029)------------------------------
% 157.52/20.19 % (31030)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on:si=on:rawr=on:rtra=on:rp=on_0 on theBenchmark for (2802ds/75Mi)
% 157.91/20.23 % (31031)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on:si=on:rawr=on:rtra=on:rp=on_0 on theBenchmark for (2801ds/99Mi)
% 158.19/20.26 % (31030)Instruction limit reached!
% 158.19/20.26 % (31030)------------------------------
% 158.19/20.26 % (31030)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 158.19/20.26 % (31030)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 158.19/20.26 % (31030)Termination reason: Unknown
% 158.19/20.26 % (31030)Termination phase: Saturation
% 158.19/20.26
% 158.19/20.26 % (31030)Memory used [KB]: 1918
% 158.19/20.26 % (31030)Time elapsed: 0.070 s
% 158.19/20.26 % (31030)Instructions burned: 75 (million)
% 158.19/20.26 % (31030)------------------------------
% 158.19/20.26 % (31030)------------------------------
% 158.19/20.31 % (31031)Instruction limit reached!
% 158.19/20.31 % (31031)------------------------------
% 158.19/20.31 % (31031)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 158.19/20.31 % (31031)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 158.19/20.31 % (31031)Termination reason: Unknown
% 158.19/20.31 % (31031)Termination phase: Saturation
% 158.19/20.31
% 158.19/20.31 % (31031)Memory used [KB]: 6268
% 158.19/20.31 % (31031)Time elapsed: 0.081 s
% 158.19/20.31 % (31031)Instructions burned: 99 (million)
% 158.19/20.31 % (31031)------------------------------
% 158.19/20.31 % (31031)------------------------------
% 158.19/20.33 % (31032)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on:si=on:rawr=on:rtra=on:rp=on_0 on theBenchmark for (2800ds/59Mi)
% 158.19/20.33 % (31032)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 158.19/20.33 % (31032)Terminated due to inappropriate strategy.
% 158.19/20.33 % (31032)------------------------------
% 158.19/20.33 % (31032)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 158.19/20.33 % (31032)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 158.19/20.33 % (31032)Termination reason: Inappropriate
% 158.19/20.33
% 158.19/20.33 % (31032)Memory used [KB]: 1023
% 158.19/20.33 % (31032)Time elapsed: 0.005 s
% 158.19/20.33 % (31032)Instructions burned: 5 (million)
% 158.19/20.33 % (31032)------------------------------
% 158.19/20.33 % (31032)------------------------------
% 159.02/20.38 % (31033)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on:si=on:rawr=on:rtra=on:rp=on_0 on theBenchmark for (2800ds/100Mi)
% 159.35/20.41 % (31034)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on:si=on:rawr=on:rtra=on:rp=on_0 on theBenchmark for (2800ds/100Mi)
% 159.83/20.47 % (31033)Instruction limit reached!
% 159.83/20.47 % (31033)------------------------------
% 159.83/20.47 % (31033)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 159.83/20.47 % (31033)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 159.83/20.47 % (31033)Termination reason: Unknown
% 159.83/20.47 % (31033)Termination phase: Saturation
% 159.83/20.47
% 159.83/20.47 % (31033)Memory used [KB]: 6396
% 159.83/20.47 % (31033)Time elapsed: 0.093 s
% 159.83/20.47 % (31033)Instructions burned: 101 (million)
% 159.83/20.47 % (31033)------------------------------
% 159.83/20.47 % (31033)------------------------------
% 159.83/20.48 % (31034)Instruction limit reached!
% 159.83/20.48 % (31034)------------------------------
% 159.83/20.48 % (31034)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 159.83/20.48 % (31034)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 159.83/20.48 % (31034)Termination reason: Unknown
% 159.83/20.48 % (31034)Termination phase: Saturation
% 159.83/20.48
% 159.83/20.48 % (31034)Memory used [KB]: 1791
% 159.83/20.48 % (31034)Time elapsed: 0.074 s
% 159.83/20.48 % (31034)Instructions burned: 101 (million)
% 159.83/20.48 % (31034)------------------------------
% 159.83/20.48 % (31034)------------------------------
% 160.35/20.54 % (31035)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on:si=on:rawr=on:rtra=on:rp=on_0 on theBenchmark for (2798ds/176Mi)
% 160.67/20.56 % (31036)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on:si=on:rawr=on:rtra=on:rp=on_0 on theBenchmark for (2798ds/138Mi)
% 161.86/20.74 % (31036)Instruction limit reached!
% 161.86/20.74 % (31036)------------------------------
% 161.86/20.74 % (31036)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 161.86/20.74 % (31036)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 161.86/20.74 % (31036)Termination reason: Unknown
% 161.86/20.74 % (31036)Termination phase: Saturation
% 161.86/20.74
% 161.86/20.74 % (31036)Memory used [KB]: 7036
% 161.86/20.74 % (31036)Time elapsed: 0.173 s
% 161.86/20.74 % (31036)Instructions burned: 140 (million)
% 161.86/20.74 % (31036)------------------------------
% 161.86/20.74 % (31036)------------------------------
% 162.33/20.76 % (31035)Instruction limit reached!
% 162.33/20.76 % (31035)------------------------------
% 162.33/20.76 % (31035)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 162.33/20.76 % (31035)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 162.33/20.76 % (31035)Termination reason: Unknown
% 162.33/20.76 % (31035)Termination phase: Saturation
% 162.33/20.76
% 162.33/20.76 % (31035)Memory used [KB]: 6780
% 162.33/20.76 % (31035)Time elapsed: 0.228 s
% 162.33/20.76 % (31035)Instructions burned: 176 (million)
% 162.33/20.76 % (31035)------------------------------
% 162.33/20.76 % (31035)------------------------------
% 162.97/20.85 % (31037)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on:si=on:rawr=on:rtra=on:rp=on_0 on theBenchmark for (2796ds/498Mi)
% 162.97/20.88 % (31038)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on:si=on:rawr=on:rtra=on:rp=on_0 on theBenchmark for (2796ds/467Mi)
% 168.20/21.52 % (31037)Instruction limit reached!
% 168.20/21.52 % (31037)------------------------------
% 168.20/21.52 % (31037)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 168.20/21.52 % (31037)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 168.20/21.52 % (31037)Termination reason: Unknown
% 168.20/21.52 % (31037)Termination phase: Saturation
% 168.20/21.52
% 168.20/21.52 % (31037)Memory used [KB]: 2686
% 168.20/21.52 % (31037)Time elapsed: 0.720 s
% 168.20/21.52 % (31037)Instructions burned: 499 (million)
% 168.20/21.52 % (31037)------------------------------
% 168.20/21.52 % (31037)------------------------------
% 168.47/21.54 % (31038)Instruction limit reached!
% 168.47/21.54 % (31038)------------------------------
% 168.47/21.54 % (31038)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 168.47/21.54 % (31038)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 168.47/21.54 % (31038)Termination reason: Unknown
% 168.47/21.54 % (31038)Termination phase: Saturation
% 168.47/21.54
% 168.47/21.54 % (31038)Memory used [KB]: 9210
% 168.47/21.54 % (31038)Time elapsed: 0.702 s
% 168.47/21.54 % (31038)Instructions burned: 467 (million)
% 168.47/21.54 % (31038)------------------------------
% 168.47/21.54 % (31038)------------------------------
% 168.47/21.62 % (31039)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on:si=on:rawr=on:rtra=on:rp=on_0 on theBenchmark for (2788ds/482Mi)
% 169.23/21.68 % (31040)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on:si=on:rawr=on:rtra=on:rp=on_0 on theBenchmark for (2788ds/500Mi)
% 174.49/22.32 % (31039)Instruction limit reached!
% 174.49/22.32 % (31039)------------------------------
% 174.49/22.32 % (31039)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 174.49/22.32 % (31039)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 174.49/22.32 % (31039)Termination reason: Unknown
% 174.49/22.32 % (31039)Termination phase: Saturation
% 174.49/22.32
% 174.49/22.32 % (31039)Memory used [KB]: 9338
% 174.49/22.32 % (31039)Time elapsed: 0.747 s
% 174.49/22.32 % (31039)Instructions burned: 482 (million)
% 174.49/22.32 % (31039)------------------------------
% 174.49/22.32 % (31039)------------------------------
% 175.46/22.44 % (31041)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on:si=on:rawr=on:rtra=on:rp=on_0 on theBenchmark for (2780ds/68Mi)
% 175.90/22.47 % (31040)Instruction limit reached!
% 175.90/22.47 % (31040)------------------------------
% 175.90/22.47 % (31040)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 175.90/22.47 % (31040)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 175.90/22.47 % (31040)Termination reason: Unknown
% 175.90/22.47 % (31040)Termination phase: Saturation
% 175.90/22.47
% 175.90/22.47 % (31040)Memory used [KB]: 10490
% 175.90/22.47 % (31040)Time elapsed: 0.897 s
% 175.90/22.47 % (31040)Instructions burned: 501 (million)
% 175.90/22.47 % (31040)------------------------------
% 175.90/22.47 % (31040)------------------------------
% 175.90/22.54 % (31041)Instruction limit reached!
% 175.90/22.54 % (31041)------------------------------
% 175.90/22.54 % (31041)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 175.90/22.54 % (31041)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 175.90/22.54 % (31041)Termination reason: Unknown
% 175.90/22.54 % (31041)Termination phase: Saturation
% 175.90/22.54
% 175.90/22.54 % (31041)Memory used [KB]: 6652
% 175.90/22.54 % (31041)Time elapsed: 0.064 s
% 175.90/22.54 % (31041)Instructions burned: 68 (million)
% 175.90/22.54 % (31041)------------------------------
% 175.90/22.54 % (31041)------------------------------
% 176.99/22.61 % (31042)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on:si=on:rawr=on:rtra=on:rp=on_0 on theBenchmark for (2778ds/177Mi)
% 177.42/22.66 % (31043)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on:si=on:rawr=on:rtra=on:rp=on_0 on theBenchmark for (2778ds/439Mi)
% 179.27/22.89 % (31042)Instruction limit reached!
% 179.27/22.89 % (31042)------------------------------
% 179.27/22.89 % (31042)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 179.27/22.91 % (31042)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 179.27/22.91 % (31042)Termination reason: Unknown
% 179.27/22.91 % (31042)Termination phase: Saturation
% 179.27/22.91
% 179.27/22.91 % (31042)Memory used [KB]: 2942
% 179.27/22.91 % (31042)Time elapsed: 0.401 s
% 179.27/22.91 % (31042)Instructions burned: 178 (million)
% 179.27/22.91 % (31042)------------------------------
% 179.27/22.91 % (31042)------------------------------
% 180.57/23.06 % (31044)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on:si=on:rawr=on:rtra=on:rp=on_0 on theBenchmark for (2774ds/355Mi)
% 182.99/23.38 % (31043)Instruction limit reached!
% 182.99/23.38 % (31043)------------------------------
% 182.99/23.38 % (31043)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 182.99/23.38 % (31043)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 182.99/23.38 % (31043)Termination reason: Unknown
% 182.99/23.38 % (31043)Termination phase: Saturation
% 182.99/23.38
% 182.99/23.38 % (31043)Memory used [KB]: 8699
% 182.99/23.38 % (31043)Time elapsed: 0.558 s
% 182.99/23.38 % (31043)Instructions burned: 439 (million)
% 182.99/23.38 % (31043)------------------------------
% 182.99/23.38 % (31043)------------------------------
% 183.68/23.52 % (31045)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on:si=on:rawr=on:rtra=on:rp=on_0 on theBenchmark for (2769ds/388Mi)
% 185.31/23.69 % (31044)Instruction limit reached!
% 185.31/23.69 % (31044)------------------------------
% 185.31/23.69 % (31044)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 185.31/23.70 % (31044)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 185.31/23.70 % (31044)Termination reason: Unknown
% 185.31/23.70 % (31044)Termination phase: Saturation
% 185.31/23.70
% 185.31/23.70 % (31044)Memory used [KB]: 9466
% 185.31/23.70 % (31044)Time elapsed: 0.724 s
% 185.31/23.70 % (31044)Instructions burned: 355 (million)
% 185.31/23.70 % (31044)------------------------------
% 185.31/23.70 % (31044)------------------------------
% 186.97/23.87 % (31046)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on:si=on:rawr=on:rtra=on:rp=on_0 on theBenchmark for (2766ds/211Mi)
% 189.64/24.22 % (31045)Instruction limit reached!
% 189.64/24.22 % (31045)------------------------------
% 189.64/24.22 % (31045)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 189.64/24.22 % (31045)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 189.64/24.22 % (31045)Termination reason: Unknown
% 189.64/24.22 % (31045)Termination phase: Saturation
% 189.64/24.22
% 189.64/24.22 % (31045)Memory used [KB]: 8187
% 189.64/24.22 % (31045)Time elapsed: 0.797 s
% 189.64/24.22 % (31045)Instructions burned: 389 (million)
% 189.64/24.22 % (31045)------------------------------
% 189.64/24.22 % (31045)------------------------------
% 190.11/24.25 % (31046)Instruction limit reached!
% 190.11/24.25 % (31046)------------------------------
% 190.11/24.25 % (31046)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 190.19/24.27 % (31046)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 190.19/24.27 % (31046)Termination reason: Unknown
% 190.19/24.27 % (31046)Termination phase: Saturation
% 190.19/24.27
% 190.19/24.27 % (31046)Memory used [KB]: 3198
% 190.19/24.27 % (31046)Time elapsed: 0.471 s
% 190.19/24.27 % (31046)Instructions burned: 212 (million)
% 190.19/24.27 % (31046)------------------------------
% 190.19/24.27 % (31046)------------------------------
% 190.93/24.37 % (31047)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on:si=on:rawr=on:rtra=on:rp=on_0 on theBenchmark for (2761ds/90Mi)
% 190.93/24.39 % (31048)ott+1_1:2_i=920:si=on:rawr=on:rtra=on:si=on:rawr=on:rtra=on:rp=on_0 on theBenchmark for (2761ds/920Mi)
% 192.11/24.51 % (31047)Instruction limit reached!
% 192.11/24.51 % (31047)------------------------------
% 192.11/24.51 % (31047)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 192.11/24.51 % (31047)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 192.11/24.51 % (31047)Termination reason: Unknown
% 192.11/24.51 % (31047)Termination phase: Saturation
% 192.11/24.51
% 192.11/24.51 % (31047)Memory used [KB]: 6268
% 192.11/24.51 % (31047)Time elapsed: 0.267 s
% 192.11/24.51 % (31047)Instructions burned: 91 (million)
% 192.11/24.51 % (31047)------------------------------
% 192.11/24.51 % (31047)------------------------------
% 193.25/24.67 % (31049)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on:si=on:rawr=on:rtra=on:rp=on_0 on theBenchmark for (2758ds/934Mi)
% 202.00/25.81 % (31048)Instruction limit reached!
% 202.00/25.81 % (31048)------------------------------
% 202.00/25.81 % (31048)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 202.00/25.81 % (31048)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 202.00/25.81 % (31048)Termination reason: Unknown
% 202.00/25.81 % (31048)Termination phase: Saturation
% 202.00/25.81
% 202.00/25.81 % (31048)Memory used [KB]: 11129
% 202.00/25.81 % (31048)Time elapsed: 1.517 s
% 202.00/25.81 % (31048)Instructions burned: 920 (million)
% 202.00/25.81 % (31048)------------------------------
% 202.00/25.81 % (31048)------------------------------
% 203.34/25.96 % (31050)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on:si=on:rawr=on:rtra=on:rp=on_0 on theBenchmark for (2745ds/747Mi)
% 204.47/26.07 % (31049)Instruction limit reached!
% 204.47/26.07 % (31049)------------------------------
% 204.47/26.07 % (31049)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 204.47/26.08 % (31049)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 204.47/26.08 % (31049)Termination reason: Unknown
% 204.47/26.08 % (31049)Termination phase: Saturation
% 204.47/26.08
% 204.47/26.08 % (31049)Memory used [KB]: 13048
% 204.47/26.08 % (31049)Time elapsed: 1.543 s
% 204.47/26.08 % (31049)Instructions burned: 935 (million)
% 204.47/26.08 % (31049)------------------------------
% 204.47/26.08 % (31049)------------------------------
% 205.66/26.24 % (31051)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on:si=on:rawr=on:rtra=on:rp=on_0 on theBenchmark for (2742ds/655Mi)
% 212.45/27.13 % (31051)Instruction limit reached!
% 212.45/27.13 % (31051)------------------------------
% 212.45/27.13 % (31051)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 212.45/27.14 % (31051)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 212.45/27.14 % (31051)Termination reason: Unknown
% 212.45/27.14 % (31051)Termination phase: Saturation
% 212.45/27.14
% 212.45/27.14 % (31051)Memory used [KB]: 2814
% 212.45/27.14 % (31051)Time elapsed: 0.991 s
% 212.45/27.14 % (31051)Instructions burned: 657 (million)
% 212.45/27.14 % (31051)------------------------------
% 212.45/27.14 % (31051)------------------------------
% 213.98/27.29 % (31052)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on:si=on:rawr=on:rtra=on:rp=on_0 on theBenchmark for (2732ds/68Mi)
% 214.74/27.39 % (31050)Instruction limit reached!
% 214.74/27.39 % (31050)------------------------------
% 214.74/27.39 % (31050)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 214.74/27.39 % (31050)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 214.74/27.39 % (31050)Termination reason: Unknown
% 214.74/27.39 % (31050)Termination phase: Saturation
% 214.74/27.39
% 214.74/27.39 % (31050)Memory used [KB]: 11513
% 214.74/27.39 % (31050)Time elapsed: 1.527 s
% 214.74/27.39 % (31050)Instructions burned: 747 (million)
% 214.74/27.39 % (31050)------------------------------
% 214.74/27.39 % (31050)------------------------------
% 215.19/27.41 % (31052)Instruction limit reached!
% 215.19/27.41 % (31052)------------------------------
% 215.19/27.41 % (31052)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 215.19/27.41 % (31052)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 215.19/27.41 % (31052)Termination reason: Unknown
% 215.19/27.41 % (31052)Termination phase: Saturation
% 215.19/27.41
% 215.19/27.41 % (31052)Memory used [KB]: 6652
% 215.19/27.41 % (31052)Time elapsed: 0.058 s
% 215.19/27.41 % (31052)Instructions burned: 68 (million)
% 215.19/27.41 % (31052)------------------------------
% 215.19/27.41 % (31052)------------------------------
% 215.67/27.52 % (31053)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on:si=on:rawr=on:rtra=on:rp=on_0 on theBenchmark for (2729ds/940Mi)
% 215.67/27.55 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 215.67/27.55 % (31054)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on:si=on:rawr=on:rtra=on:rp=on_0 on theBenchmark for (2729ds/981Mi)
% 227.72/29.00 % (31054)Instruction limit reached!
% 227.72/29.00 % (31054)------------------------------
% 227.72/29.00 % (31054)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 227.72/29.00 % (31054)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 227.72/29.00 % (31054)Termination reason: Unknown
% 227.72/29.00 % (31054)Termination phase: Saturation
% 227.72/29.00
% 227.72/29.00 % (31054)Memory used [KB]: 14839
% 227.72/29.00 % (31054)Time elapsed: 1.463 s
% 227.72/29.00 % (31054)Instructions burned: 983 (million)
% 227.72/29.00 % (31054)------------------------------
% 227.72/29.00 % (31054)------------------------------
% 228.78/29.12 % (31053)Instruction limit reached!
% 228.78/29.12 % (31053)------------------------------
% 228.78/29.12 % (31053)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 229.01/29.13 % (31053)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 229.01/29.13 % (31053)Termination reason: Unknown
% 229.01/29.13 % (31053)Termination phase: Saturation
% 229.01/29.13
% 229.01/29.13 % (31053)Memory used [KB]: 11641
% 229.01/29.13 % (31053)Time elapsed: 1.696 s
% 229.01/29.13 % (31053)Instructions burned: 940 (million)
% 229.01/29.13 % (31053)------------------------------
% 229.01/29.13 % (31053)------------------------------
% 229.01/29.13 % (31055)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on:si=on:rawr=on:rtra=on:rp=on_0 on theBenchmark for (2713ds/90Mi)
% 229.78/29.29 % (31056)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on:si=on:rawr=on:rtra=on:rp=on_0 on theBenchmark for (2712ds/2016Mi)
% 230.27/29.32 % (31055)Instruction limit reached!
% 230.27/29.32 % (31055)------------------------------
% 230.27/29.32 % (31055)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 230.27/29.32 % (31055)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 230.27/29.32 % (31055)Termination reason: Unknown
% 230.27/29.32 % (31055)Termination phase: Saturation
% 230.27/29.32
% 230.27/29.32 % (31055)Memory used [KB]: 6140
% 230.27/29.32 % (31055)Time elapsed: 0.271 s
% 230.27/29.32 % (31055)Instructions burned: 90 (million)
% 230.27/29.32 % (31055)------------------------------
% 230.27/29.32 % (31055)------------------------------
% 231.61/29.47 % (31061)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on:si=on:rawr=on:rtra=on:rp=on_0 on theBenchmark for (2710ds/3735Mi)
% 256.99/32.69 % (31011)First to succeed.
% 259.76/33.00 % (31011)Refutation found. Thanks to Tanya!
% 259.76/33.00 % SZS status Theorem for theBenchmark
% 259.76/33.00 % SZS output start Proof for theBenchmark
% See solution above
% 260.22/33.08 % (31011)------------------------------
% 260.22/33.08 % (31011)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 260.22/33.08 % (31011)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 260.22/33.08 % (31011)Termination reason: Refutation
% 260.22/33.08
% 260.22/33.08 % (31011)Memory used [KB]: 31086
% 260.22/33.08 % (31011)Time elapsed: 13.196 s
% 260.22/33.08 % (31011)Instructions burned: 11435 (million)
% 260.22/33.08 % (31011)------------------------------
% 260.22/33.08 % (31011)------------------------------
% 260.22/33.08 % (29991)Success in time 32.678 s
%------------------------------------------------------------------------------