TSTP Solution File: NUM862_1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM862_1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n002.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 18:02:41 EDT 2022
% Result : Theorem 17.03s 2.51s
% Output : Refutation 17.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 678
% Syntax : Number of formulae : 2743 ( 40 unt; 14 typ; 0 def)
% Number of atoms : 8407 ( 318 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 9986 (4308 ~;4943 |; 64 &)
% ( 660 <=>; 10 =>; 0 <=; 1 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number arithmetic : 2742 ( 806 atm;1208 fun; 40 num; 688 var)
% Number of types : 2 ( 0 usr; 1 ari)
% Number of type conns : 27 ( 10 >; 17 *; 0 +; 0 <<)
% Number of predicates : 648 ( 644 usr; 640 prp; 0-3 aty)
% Number of functors : 13 ( 9 usr; 6 con; 0-3 aty)
% Number of variables : 688 ( 662 !; 26 ?; 688 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
c: $int ).
tff(func_def_1,type,
summation: $int > $int ).
tff(func_def_2,type,
max: ( $int * $int ) > $int ).
tff(func_def_7,type,
sK0: ( $int * $int * $int ) > $int ).
tff(func_def_8,type,
sK1: ( $int * $int * $int ) > $int ).
tff(func_def_9,type,
sK2: ( $int * $int * $int ) > $int ).
tff(func_def_10,type,
sK3: $int ).
tff(func_def_11,type,
sK4: $int ).
tff(func_def_12,type,
sK5: $int ).
tff(pred_def_1,type,
ub: ( $int * $int * $int ) > $o ).
tff(pred_def_2,type,
model_max: ( $int * $int * $int ) > $o ).
tff(pred_def_3,type,
model_ub: ( $int * $int * $int ) > $o ).
tff(pred_def_4,type,
minsol_model_max: ( $int * $int * $int ) > $o ).
tff(pred_def_5,type,
minsol_model_ub: ( $int * $int * $int ) > $o ).
tff(f5351,plain,
$false,
inference(avatar_smt_refutation,[],[f89,f93,f97,f101,f105,f109,f118,f122,f126,f130,f134,f138,f142,f146,f150,f154,f158,f162,f166,f170,f174,f178,f182,f186,f190,f194,f198,f199,f203,f207,f211,f215,f219,f223,f234,f242,f249,f261,f266,f270,f279,f288,f293,f301,f306,f311,f317,f325,f329,f333,f344,f349,f356,f360,f362,f369,f374,f386,f391,f397,f408,f413,f418,f424,f430,f440,f441,f451,f456,f457,f462,f473,f483,f488,f493,f497,f502,f512,f517,f522,f523,f528,f529,f548,f550,f556,f561,f566,f567,f572,f585,f586,f591,f596,f601,f606,f618,f629,f634,f639,f644,f645,f650,f663,f669,f674,f687,f688,f699,f712,f714,f726,f727,f731,f738,f746,f759,f761,f767,f769,f776,f782,f787,f788,f789,f790,f795,f800,f805,f825,f835,f839,f848,f853,f862,f867,f871,f875,f890,f895,f929,f934,f939,f941,f943,f945,f950,f952,f954,f959,f960,f961,f977,f982,f990,f994,f1003,f1007,f1011,f1027,f1033,f1039,f1041,f1047,f1053,f1059,f1066,f1071,f1081,f1091,f1102,f1105,f1119,f1126,f1131,f1148,f1153,f1158,f1163,f1164,f1169,f1183,f1187,f1192,f1203,f1208,f1213,f1218,f1219,f1227,f1239,f1246,f1250,f1258,f1263,f1267,f1278,f1282,f1287,f1291,f1301,f1312,f1319,f1324,f1340,f1342,f1347,f1352,f1357,f1363,f1364,f1369,f1374,f1379,f1384,f1393,f1398,f1403,f1408,f1409,f1414,f1419,f1420,f1425,f1426,f1427,f1434,f1435,f1441,f1446,f1452,f1454,f1455,f1463,f1469,f1471,f1472,f1482,f1484,f1486,f1498,f1503,f1524,f1528,f1533,f1539,f1562,f1567,f1582,f1587,f1610,f1615,f1617,f1621,f1625,f1638,f1643,f1648,f1653,f1657,f1662,f1667,f1672,f1673,f1677,f1679,f1687,f1694,f1700,f1708,f1714,f1721,f1727,f1733,f1739,f1747,f1749,f1758,f1760,f1766,f1803,f1808,f1813,f1818,f1822,f1827,f1832,f1838,f1843,f1848,f1853,f1858,f1864,f1866,f1867,f1872,f1880,f1885,f1903,f1922,f1935,f1953,f1996,f1999,f2011,f2021,f2030,f2034,f2039,f2043,f2054,f2060,f2064,f2073,f2079,f2084,f2086,f2088,f2096,f2123,f2129,f2134,f2147,f2152,f2158,f2164,f2166,f2172,f2219,f2222,f2226,f2229,f2234,f2244,f2250,f2255,f2261,f2271,f2276,f2289,f2295,f2301,f2307,f2312,f2333,f2338,f2344,f2349,f2352,f2353,f2358,f2361,f2362,f2367,f2368,f2373,f2378,f2385,f2389,f2402,f2407,f2410,f2416,f2419,f2425,f2427,f2429,f2444,f2450,f2452,f2456,f2481,f2485,f2490,f2494,f2508,f2513,f2518,f2532,f2538,f2544,f2546,f2552,f2589,f2594,f2600,f2605,f2625,f2630,f2638,f2644,f2668,f2678,f2709,f2716,f2726,f2735,f2742,f2762,f2768,f2775,f2781,f2784,f2790,f2796,f2801,f2807,f2809,f2811,f2817,f2819,f2821,f2830,f2838,f2857,f2863,f2869,f2874,f2880,f2886,f2892,f2894,f2896,f2898,f2922,f2928,f2932,f2934,f2942,f2948,f2960,f2965,f2976,f2983,f2988,f2993,f3010,f3016,f3022,f3028,f3034,f3040,f3045,f3047,f3049,f3055,f3057,f3064,f3072,f3092,f3098,f3104,f3110,f3116,f3118,f3124,f3135,f3146,f3152,f3155,f3165,f3170,f3180,f3188,f3193,f3198,f3203,f3208,f3213,f3214,f3219,f3220,f3225,f3230,f3234,f3235,f3239,f3244,f3245,f3250,f3251,f3256,f3260,f3265,f3266,f3275,f3276,f3281,f3285,f3290,f3295,f3304,f3308,f3309,f3314,f3319,f3324,f3329,f3334,f3335,f3336,f3341,f3342,f3347,f3348,f3349,f3354,f3363,f3364,f3368,f3372,f3377,f3382,f3383,f3388,f3392,f3393,f3398,f3402,f3406,f3411,f3412,f3417,f3422,f3426,f3431,f3436,f3437,f3439,f3444,f3445,f3450,f3455,f3459,f3465,f3466,f3472,f3473,f3478,f3483,f3484,f3485,f3487,f3491,f3496,f3501,f3506,f3511,f3516,f3517,f3518,f3520,f3525,f3530,f3532,f3537,f3543,f3548,f3554,f3556,f3561,f3563,f3570,f3575,f3580,f3584,f3589,f3594,f3597,f3598,f3601,f3606,f3610,f3615,f3616,f3621,f3622,f3624,f3629,f3633,f3637,f3639,f3644,f3648,f3653,f3654,f3658,f3663,f3668,f3674,f3679,f3684,f3690,f3695,f3696,f3702,f3707,f3712,f3717,f3721,f3722,f3723,f3727,f3733,f3738,f3743,f3747,f3752,f3753,f3756,f3758,f3764,f3770,f3776,f3783,f3789,f3795,f3798,f3806,f3808,f3815,f3826,f3831,f3836,f3841,f3851,f3856,f3870,f3875,f3879,f3883,f3900,f3910,f3912,f3939,f3945,f3952,f3958,f3965,f3970,f3972,f3986,f3991,f3996,f4006,f4011,f4019,f4034,f4039,f4055,f4060,f4065,f4070,f4075,f4076,f4081,f4086,f4098,f4103,f4108,f4115,f4120,f4128,f4131,f4132,f4145,f4150,f4164,f4169,f4176,f4198,f4203,f4207,f4218,f4222,f4227,f4238,f4242,f4245,f4249,f4267,f4269,f4274,f4279,f4280,f4301,f4317,f4344,f4347,f4352,f4355,f4357,f4359,f4363,f4368,f4371,f4373,f4378,f4383,f4385,f4390,f4395,f4400,f4404,f4409,f4414,f4415,f4438,f4443,f4449,f4454,f4455,f4460,f4465,f4470,f4475,f4476,f4481,f4486,f4488,f4494,f4503,f4506,f4514,f4519,f4527,f4532,f4542,f4545,f4558,f4563,f4574,f4578,f4582,f4587,f4596,f4600,f4611,f4616,f4618,f4623,f4625,f4626,f4627,f4632,f4633,f4638,f4643,f4648,f4650,f4655,f4659,f4660,f4665,f4666,f4668,f4673,f4678,f4680,f4714,f4730,f4732,f4733,f4738,f4769,f4773,f4806,f4807,f4817,f4821,f4959,f4964,f4969,f4974,f4979,f4984,f4990,f5048,f5053,f5058,f5063,f5068,f5073,f5078,f5082,f5098,f5102,f5106,f5111,f5116,f5121,f5126,f5131,f5136,f5148,f5152,f5156,f5161,f5210,f5213,f5215,f5226,f5231,f5233,f5234,f5239,f5264,f5268,f5272,f5277,f5282,f5287,f5292,f5325,f5334,f5349]) ).
tff(f5349,plain,
( ~ spl6_13
| ~ spl6_201
| spl6_495 ),
inference(avatar_contradiction_clause,[],[f5348]) ).
tff(f5348,plain,
( $false
| ~ spl6_13
| ~ spl6_201
| spl6_495 ),
inference(evaluation,[],[f5347]) ).
tff(f5347,plain,
( $less(0,0)
| ~ spl6_13
| ~ spl6_201
| spl6_495 ),
inference(cancellation,[],[f5344]) ).
tff(f5344,plain,
( $less($sum(c,summation(sK5)),$sum(c,summation(sK5)))
| ~ spl6_13
| ~ spl6_201
| spl6_495 ),
inference(unit_resulting_resolution,[],[f1480,f3840,f137]) ).
tff(f137,plain,
( ! [X2: $int,X0: $int,X1: $int,X4: $int] :
( ~ ub(X0,X1,X4)
| model_ub(X0,X1,X2)
| $less(X2,$sum(c,summation(X4))) )
| ~ spl6_13 ),
inference(avatar_component_clause,[],[f136]) ).
tff(f136,plain,
( spl6_13
<=> ! [X4: $int,X0: $int,X2: $int,X1: $int] :
( $less(X2,$sum(c,summation(X4)))
| model_ub(X0,X1,X2)
| ~ ub(X0,X1,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_13])]) ).
tff(f3840,plain,
( ~ model_ub(sK3,sK5,$sum(c,summation(sK5)))
| spl6_495 ),
inference(avatar_component_clause,[],[f3838]) ).
tff(f3838,plain,
( spl6_495
<=> model_ub(sK3,sK5,$sum(c,summation(sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_495])]) ).
tff(f1480,plain,
( ub(sK3,sK5,sK5)
| ~ spl6_201 ),
inference(avatar_component_clause,[],[f1479]) ).
tff(f1479,plain,
( spl6_201
<=> ub(sK3,sK5,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_201])]) ).
tff(f5334,plain,
( ~ spl6_639
| ~ spl6_34
| spl6_258 ),
inference(avatar_split_clause,[],[f5329,f2027,f221,f5331]) ).
tff(f5331,plain,
( spl6_639
<=> minsol_model_ub(sK3,sK3,sK0(sK3,sK4,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_639])]) ).
tff(f221,plain,
( spl6_34
<=> ! [X2: $int,X0: $int,X1: $int] :
( ~ minsol_model_ub(X0,X1,X2)
| model_ub(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_34])]) ).
tff(f2027,plain,
( spl6_258
<=> model_ub(sK3,sK3,sK0(sK3,sK4,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_258])]) ).
tff(f5329,plain,
( ~ minsol_model_ub(sK3,sK3,sK0(sK3,sK4,sK3))
| ~ spl6_34
| spl6_258 ),
inference(unit_resulting_resolution,[],[f2029,f222]) ).
tff(f222,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( ~ minsol_model_ub(X0,X1,X2)
| model_ub(X0,X1,X2) )
| ~ spl6_34 ),
inference(avatar_component_clause,[],[f221]) ).
tff(f2029,plain,
( ~ model_ub(sK3,sK3,sK0(sK3,sK4,sK3))
| spl6_258 ),
inference(avatar_component_clause,[],[f2027]) ).
tff(f5325,plain,
( ~ spl6_638
| ~ spl6_14
| spl6_175 ),
inference(avatar_split_clause,[],[f5318,f1284,f140,f5322]) ).
tff(f5322,plain,
( spl6_638
<=> minsol_model_max(sK3,sK5,$sum(c,summation(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_638])]) ).
tff(f140,plain,
( spl6_14
<=> ! [X2: $int,X0: $int,X1: $int] :
( ~ minsol_model_max(X2,X0,X1)
| model_max(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_14])]) ).
tff(f1284,plain,
( spl6_175
<=> model_max(sK3,sK5,$sum(c,summation(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_175])]) ).
tff(f5318,plain,
( ~ minsol_model_max(sK3,sK5,$sum(c,summation(sK3)))
| ~ spl6_14
| spl6_175 ),
inference(unit_resulting_resolution,[],[f1286,f141]) ).
tff(f141,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( model_max(X2,X0,X1)
| ~ minsol_model_max(X2,X0,X1) )
| ~ spl6_14 ),
inference(avatar_component_clause,[],[f140]) ).
tff(f1286,plain,
( ~ model_max(sK3,sK5,$sum(c,summation(sK3)))
| spl6_175 ),
inference(avatar_component_clause,[],[f1284]) ).
tff(f5292,plain,
( ~ spl6_637
| ~ spl6_4
| spl6_520
| ~ spl6_530 ),
inference(avatar_split_clause,[],[f5253,f4147,f4072,f99,f5289]) ).
tff(f5289,plain,
( spl6_637
<=> $less($sum(c,summation(sK1(sK3,sK5,sK0(sK5,sK4,sK3)))),sK2(sK3,sK5,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_637])]) ).
tff(f99,plain,
( spl6_4
<=> ! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,X2)
| ~ $less(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_4])]) ).
tff(f4072,plain,
( spl6_520
<=> $less(sK0(sK5,sK4,sK3),sK2(sK3,sK5,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_520])]) ).
tff(f4147,plain,
( spl6_530
<=> $less(sK0(sK5,sK4,sK3),$sum(c,summation(sK1(sK3,sK5,sK0(sK5,sK4,sK3))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_530])]) ).
tff(f5253,plain,
( ~ $less($sum(c,summation(sK1(sK3,sK5,sK0(sK5,sK4,sK3)))),sK2(sK3,sK5,sK4))
| ~ spl6_4
| spl6_520
| ~ spl6_530 ),
inference(unit_resulting_resolution,[],[f4074,f4148,f100]) ).
tff(f100,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,X2)
| ~ $less(X1,X2) )
| ~ spl6_4 ),
inference(avatar_component_clause,[],[f99]) ).
tff(f4148,plain,
( $less(sK0(sK5,sK4,sK3),$sum(c,summation(sK1(sK3,sK5,sK0(sK5,sK4,sK3)))))
| ~ spl6_530 ),
inference(avatar_component_clause,[],[f4147]) ).
tff(f4074,plain,
( ~ $less(sK0(sK5,sK4,sK3),sK2(sK3,sK5,sK4))
| spl6_520 ),
inference(avatar_component_clause,[],[f4072]) ).
tff(f5287,plain,
( spl6_636
| ~ spl6_11
| ~ spl6_530 ),
inference(avatar_split_clause,[],[f5257,f4147,f128,f5284]) ).
tff(f5284,plain,
( spl6_636
<=> $less(summation(sK0(sK5,sK4,sK3)),summation($sum(c,summation(sK1(sK3,sK5,sK0(sK5,sK4,sK3)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_636])]) ).
tff(f128,plain,
( spl6_11
<=> ! [X0: $int,X1: $int] :
( ~ $less(X1,X0)
| $less(summation(X1),summation(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_11])]) ).
tff(f5257,plain,
( $less(summation(sK0(sK5,sK4,sK3)),summation($sum(c,summation(sK1(sK3,sK5,sK0(sK5,sK4,sK3))))))
| ~ spl6_11
| ~ spl6_530 ),
inference(unit_resulting_resolution,[],[f4148,f129]) ).
tff(f129,plain,
( ! [X0: $int,X1: $int] :
( ~ $less(X1,X0)
| $less(summation(X1),summation(X0)) )
| ~ spl6_11 ),
inference(avatar_component_clause,[],[f128]) ).
tff(f5282,plain,
( spl6_635
| ~ spl6_4
| ~ spl6_530
| ~ spl6_593 ),
inference(avatar_split_clause,[],[f5252,f4727,f4147,f99,f5279]) ).
tff(f5279,plain,
( spl6_635
<=> $less(sK0(sK5,sK0(sK5,sK4,sK3),sK3),$sum(c,summation(sK1(sK3,sK5,sK0(sK5,sK4,sK3))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_635])]) ).
tff(f4727,plain,
( spl6_593
<=> $less(sK0(sK5,sK0(sK5,sK4,sK3),sK3),sK0(sK5,sK4,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_593])]) ).
tff(f5252,plain,
( $less(sK0(sK5,sK0(sK5,sK4,sK3),sK3),$sum(c,summation(sK1(sK3,sK5,sK0(sK5,sK4,sK3)))))
| ~ spl6_4
| ~ spl6_530
| ~ spl6_593 ),
inference(unit_resulting_resolution,[],[f4729,f4148,f100]) ).
tff(f4729,plain,
( $less(sK0(sK5,sK0(sK5,sK4,sK3),sK3),sK0(sK5,sK4,sK3))
| ~ spl6_593 ),
inference(avatar_component_clause,[],[f4727]) ).
tff(f5277,plain,
( ~ spl6_634
| ~ spl6_5
| ~ spl6_496
| ~ spl6_530 ),
inference(avatar_split_clause,[],[f5255,f4147,f3848,f103,f5274]) ).
tff(f5274,plain,
( spl6_634
<=> minsol_model_max(sK3,sK5,$sum(c,summation(sK1(sK3,sK5,sK0(sK5,sK4,sK3))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_634])]) ).
tff(f103,plain,
( spl6_5
<=> ! [X4: $int,X0: $int,X2: $int,X1: $int] :
( ~ model_max(X2,X0,X4)
| ~ $less(X4,X1)
| ~ minsol_model_max(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_5])]) ).
tff(f3848,plain,
( spl6_496
<=> model_max(sK3,sK5,sK0(sK5,sK4,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_496])]) ).
tff(f5255,plain,
( ~ minsol_model_max(sK3,sK5,$sum(c,summation(sK1(sK3,sK5,sK0(sK5,sK4,sK3)))))
| ~ spl6_5
| ~ spl6_496
| ~ spl6_530 ),
inference(unit_resulting_resolution,[],[f3850,f4148,f104]) ).
tff(f104,plain,
( ! [X2: $int,X0: $int,X1: $int,X4: $int] :
( ~ $less(X4,X1)
| ~ model_max(X2,X0,X4)
| ~ minsol_model_max(X2,X0,X1) )
| ~ spl6_5 ),
inference(avatar_component_clause,[],[f103]) ).
tff(f3850,plain,
( model_max(sK3,sK5,sK0(sK5,sK4,sK3))
| ~ spl6_496 ),
inference(avatar_component_clause,[],[f3848]) ).
tff(f5272,plain,
( spl6_633
| ~ spl6_9
| ~ spl6_530 ),
inference(avatar_split_clause,[],[f5256,f4147,f120,f5270]) ).
tff(f5270,plain,
( spl6_633
<=> ! [X0: $int] : ~ ub(X0,$sum(c,summation(sK1(sK3,sK5,sK0(sK5,sK4,sK3)))),sK0(sK5,sK4,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_633])]) ).
tff(f120,plain,
( spl6_9
<=> ! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X2,X1)
| ~ ub(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_9])]) ).
tff(f5256,plain,
( ! [X0: $int] : ~ ub(X0,$sum(c,summation(sK1(sK3,sK5,sK0(sK5,sK4,sK3)))),sK0(sK5,sK4,sK3))
| ~ spl6_9
| ~ spl6_530 ),
inference(unit_resulting_resolution,[],[f4148,f121]) ).
tff(f121,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X2,X1)
| ~ ub(X0,X1,X2) )
| ~ spl6_9 ),
inference(avatar_component_clause,[],[f120]) ).
tff(f5268,plain,
( spl6_632
| ~ spl6_30
| ~ spl6_530 ),
inference(avatar_split_clause,[],[f5258,f4147,f205,f5266]) ).
tff(f5266,plain,
( spl6_632
<=> ! [X0: $int] : ~ ub($sum(c,summation(sK1(sK3,sK5,sK0(sK5,sK4,sK3)))),X0,sK0(sK5,sK4,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_632])]) ).
tff(f205,plain,
( spl6_30
<=> ! [X2: $int,X0: $int,X1: $int] :
( ~ ub(X0,X1,X2)
| ~ $less(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_30])]) ).
tff(f5258,plain,
( ! [X0: $int] : ~ ub($sum(c,summation(sK1(sK3,sK5,sK0(sK5,sK4,sK3)))),X0,sK0(sK5,sK4,sK3))
| ~ spl6_30
| ~ spl6_530 ),
inference(unit_resulting_resolution,[],[f4148,f206]) ).
tff(f206,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X2,X0)
| ~ ub(X0,X1,X2) )
| ~ spl6_30 ),
inference(avatar_component_clause,[],[f205]) ).
tff(f5264,plain,
( ~ spl6_631
| ~ spl6_4
| spl6_503
| ~ spl6_530 ),
inference(avatar_split_clause,[],[f5259,f4147,f3907,f99,f5261]) ).
tff(f5261,plain,
( spl6_631
<=> $less(summation(sK1(sK3,sK5,sK0(sK5,sK4,sK3))),summation(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_631])]) ).
tff(f3907,plain,
( spl6_503
<=> $less(sK0(sK5,sK4,sK3),$sum(c,summation(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_503])]) ).
tff(f5259,plain,
( ~ $less(summation(sK1(sK3,sK5,sK0(sK5,sK4,sK3))),summation(sK3))
| ~ spl6_4
| spl6_503
| ~ spl6_530 ),
inference(cancellation,[],[f5254]) ).
tff(f5254,plain,
( ~ $less($sum(c,summation(sK1(sK3,sK5,sK0(sK5,sK4,sK3)))),$sum(c,summation(sK3)))
| ~ spl6_4
| spl6_503
| ~ spl6_530 ),
inference(unit_resulting_resolution,[],[f3909,f4148,f100]) ).
tff(f3909,plain,
( ~ $less(sK0(sK5,sK4,sK3),$sum(c,summation(sK3)))
| spl6_503 ),
inference(avatar_component_clause,[],[f3907]) ).
tff(f5239,plain,
( spl6_630
| ~ spl6_28
| spl6_525 ),
inference(avatar_split_clause,[],[f5221,f4105,f196,f5236]) ).
tff(f5236,plain,
( spl6_630
<=> ( sK2(sK3,sK5,sK2(sK3,sK5,sK4)) = max(sK2(sK3,sK5,sK2(sK3,sK5,sK4)),sK2(sK3,sK5,sK4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_630])]) ).
tff(f196,plain,
( spl6_28
<=> ! [X0: $int,X1: $int] :
( $less(X1,X0)
| ( max(X1,X0) = X1 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_28])]) ).
tff(f4105,plain,
( spl6_525
<=> $less(sK2(sK3,sK5,sK2(sK3,sK5,sK4)),sK2(sK3,sK5,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_525])]) ).
tff(f5221,plain,
( ( sK2(sK3,sK5,sK2(sK3,sK5,sK4)) = max(sK2(sK3,sK5,sK2(sK3,sK5,sK4)),sK2(sK3,sK5,sK4)) )
| ~ spl6_28
| spl6_525 ),
inference(unit_resulting_resolution,[],[f4106,f197]) ).
tff(f197,plain,
( ! [X0: $int,X1: $int] :
( ( max(X1,X0) = X1 )
| $less(X1,X0) )
| ~ spl6_28 ),
inference(avatar_component_clause,[],[f196]) ).
tff(f4106,plain,
( ~ $less(sK2(sK3,sK5,sK2(sK3,sK5,sK4)),sK2(sK3,sK5,sK4))
| spl6_525 ),
inference(avatar_component_clause,[],[f4105]) ).
tff(f5234,plain,
( spl6_628
| ~ spl6_20
| spl6_525 ),
inference(avatar_split_clause,[],[f5219,f4105,f164,f5223]) ).
tff(f5223,plain,
( spl6_628
<=> ub(sK2(sK3,sK5,sK4),sK2(sK3,sK5,sK4),sK2(sK3,sK5,sK2(sK3,sK5,sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_628])]) ).
tff(f164,plain,
( spl6_20
<=> ! [X2: $int,X0: $int,X1: $int] :
( $less(X2,X0)
| ub(X0,X1,X2)
| $less(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_20])]) ).
tff(f5219,plain,
( ub(sK2(sK3,sK5,sK4),sK2(sK3,sK5,sK4),sK2(sK3,sK5,sK2(sK3,sK5,sK4)))
| ~ spl6_20
| spl6_525 ),
inference(unit_resulting_resolution,[],[f4106,f4106,f165]) ).
tff(f165,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( ub(X0,X1,X2)
| $less(X2,X1)
| $less(X2,X0) )
| ~ spl6_20 ),
inference(avatar_component_clause,[],[f164]) ).
tff(f5233,plain,
( ~ spl6_10
| spl6_525
| ~ spl6_622 ),
inference(avatar_contradiction_clause,[],[f5232]) ).
tff(f5232,plain,
( $false
| ~ spl6_10
| spl6_525
| ~ spl6_622 ),
inference(subsumption_resolution,[],[f5217,f5130]) ).
tff(f5130,plain,
( $less(summation(sK2(sK3,sK5,sK2(sK3,sK5,sK4))),summation(sK2(sK3,sK5,sK4)))
| ~ spl6_622 ),
inference(avatar_component_clause,[],[f5128]) ).
tff(f5128,plain,
( spl6_622
<=> $less(summation(sK2(sK3,sK5,sK2(sK3,sK5,sK4))),summation(sK2(sK3,sK5,sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_622])]) ).
tff(f5217,plain,
( ~ $less(summation(sK2(sK3,sK5,sK2(sK3,sK5,sK4))),summation(sK2(sK3,sK5,sK4)))
| ~ spl6_10
| spl6_525 ),
inference(unit_resulting_resolution,[],[f4106,f125]) ).
tff(f125,plain,
( ! [X0: $int,X1: $int] :
( ~ $less(summation(X1),summation(X0))
| $less(X1,X0) )
| ~ spl6_10 ),
inference(avatar_component_clause,[],[f124]) ).
tff(f124,plain,
( spl6_10
<=> ! [X0: $int,X1: $int] :
( ~ $less(summation(X1),summation(X0))
| $less(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_10])]) ).
tff(f5231,plain,
( spl6_629
| ~ spl6_25
| spl6_525 ),
inference(avatar_split_clause,[],[f5220,f4105,f184,f5228]) ).
tff(f5228,plain,
( spl6_629
<=> ( sK2(sK3,sK5,sK2(sK3,sK5,sK4)) = max(sK2(sK3,sK5,sK4),sK2(sK3,sK5,sK2(sK3,sK5,sK4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_629])]) ).
tff(f184,plain,
( spl6_25
<=> ! [X0: $int,X1: $int] :
( $less(X1,X0)
| ( max(X0,X1) = X1 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_25])]) ).
tff(f5220,plain,
( ( sK2(sK3,sK5,sK2(sK3,sK5,sK4)) = max(sK2(sK3,sK5,sK4),sK2(sK3,sK5,sK2(sK3,sK5,sK4))) )
| ~ spl6_25
| spl6_525 ),
inference(unit_resulting_resolution,[],[f4106,f185]) ).
tff(f185,plain,
( ! [X0: $int,X1: $int] :
( ( max(X0,X1) = X1 )
| $less(X1,X0) )
| ~ spl6_25 ),
inference(avatar_component_clause,[],[f184]) ).
tff(f5226,plain,
( spl6_628
| ~ spl6_20
| spl6_525 ),
inference(avatar_split_clause,[],[f5218,f4105,f164,f5223]) ).
tff(f5218,plain,
( ub(sK2(sK3,sK5,sK4),sK2(sK3,sK5,sK4),sK2(sK3,sK5,sK2(sK3,sK5,sK4)))
| ~ spl6_20
| spl6_525 ),
inference(unit_resulting_resolution,[],[f4106,f4106,f165]) ).
tff(f5215,plain,
( ~ spl6_13
| spl6_499
| ~ spl6_529
| spl6_530 ),
inference(avatar_contradiction_clause,[],[f5214]) ).
tff(f5214,plain,
( $false
| ~ spl6_13
| spl6_499
| ~ spl6_529
| spl6_530 ),
inference(subsumption_resolution,[],[f5194,f4144]) ).
tff(f4144,plain,
( ub(sK3,sK5,sK1(sK3,sK5,sK0(sK5,sK4,sK3)))
| ~ spl6_529 ),
inference(avatar_component_clause,[],[f4142]) ).
tff(f4142,plain,
( spl6_529
<=> ub(sK3,sK5,sK1(sK3,sK5,sK0(sK5,sK4,sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_529])]) ).
tff(f5194,plain,
( ~ ub(sK3,sK5,sK1(sK3,sK5,sK0(sK5,sK4,sK3)))
| ~ spl6_13
| spl6_499
| spl6_530 ),
inference(unit_resulting_resolution,[],[f3874,f4149,f137]) ).
tff(f4149,plain,
( ~ $less(sK0(sK5,sK4,sK3),$sum(c,summation(sK1(sK3,sK5,sK0(sK5,sK4,sK3)))))
| spl6_530 ),
inference(avatar_component_clause,[],[f4147]) ).
tff(f3874,plain,
( ~ model_ub(sK3,sK5,sK0(sK5,sK4,sK3))
| spl6_499 ),
inference(avatar_component_clause,[],[f3872]) ).
tff(f3872,plain,
( spl6_499
<=> model_ub(sK3,sK5,sK0(sK5,sK4,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_499])]) ).
tff(f5213,plain,
( ~ spl6_13
| spl6_499
| ~ spl6_529
| spl6_530 ),
inference(avatar_contradiction_clause,[],[f5212]) ).
tff(f5212,plain,
( $false
| ~ spl6_13
| spl6_499
| ~ spl6_529
| spl6_530 ),
inference(subsumption_resolution,[],[f5195,f3874]) ).
tff(f5195,plain,
( model_ub(sK3,sK5,sK0(sK5,sK4,sK3))
| ~ spl6_13
| ~ spl6_529
| spl6_530 ),
inference(unit_resulting_resolution,[],[f4144,f4149,f137]) ).
tff(f5210,plain,
( ~ spl6_13
| spl6_499
| ~ spl6_529
| spl6_530 ),
inference(avatar_contradiction_clause,[],[f5196]) ).
tff(f5196,plain,
( $false
| ~ spl6_13
| spl6_499
| ~ spl6_529
| spl6_530 ),
inference(unit_resulting_resolution,[],[f3874,f4144,f4149,f137]) ).
tff(f5161,plain,
( spl6_627
| ~ spl6_11
| ~ spl6_593 ),
inference(avatar_split_clause,[],[f5142,f4727,f128,f5158]) ).
tff(f5158,plain,
( spl6_627
<=> $less(summation(sK0(sK5,sK0(sK5,sK4,sK3),sK3)),summation(sK0(sK5,sK4,sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_627])]) ).
tff(f5142,plain,
( $less(summation(sK0(sK5,sK0(sK5,sK4,sK3),sK3)),summation(sK0(sK5,sK4,sK3)))
| ~ spl6_11
| ~ spl6_593 ),
inference(unit_resulting_resolution,[],[f4729,f129]) ).
tff(f5156,plain,
( spl6_626
| ~ spl6_30
| ~ spl6_593 ),
inference(avatar_split_clause,[],[f5143,f4727,f205,f5154]) ).
tff(f5154,plain,
( spl6_626
<=> ! [X0: $int] : ~ ub(sK0(sK5,sK4,sK3),X0,sK0(sK5,sK0(sK5,sK4,sK3),sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_626])]) ).
tff(f5143,plain,
( ! [X0: $int] : ~ ub(sK0(sK5,sK4,sK3),X0,sK0(sK5,sK0(sK5,sK4,sK3),sK3))
| ~ spl6_30
| ~ spl6_593 ),
inference(unit_resulting_resolution,[],[f4729,f206]) ).
tff(f5152,plain,
( spl6_625
| ~ spl6_9
| ~ spl6_593 ),
inference(avatar_split_clause,[],[f5141,f4727,f120,f5150]) ).
tff(f5150,plain,
( spl6_625
<=> ! [X0: $int] : ~ ub(X0,sK0(sK5,sK4,sK3),sK0(sK5,sK0(sK5,sK4,sK3),sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_625])]) ).
tff(f5141,plain,
( ! [X0: $int] : ~ ub(X0,sK0(sK5,sK4,sK3),sK0(sK5,sK0(sK5,sK4,sK3),sK3))
| ~ spl6_9
| ~ spl6_593 ),
inference(unit_resulting_resolution,[],[f4729,f121]) ).
tff(f5148,plain,
( spl6_624
| ~ spl6_4
| ~ spl6_512
| ~ spl6_593 ),
inference(avatar_split_clause,[],[f5139,f4727,f4003,f99,f5145]) ).
tff(f5145,plain,
( spl6_624
<=> $less(sK0(sK5,sK0(sK5,sK4,sK3),sK3),$sum(c,summation(sK1(sK3,sK5,sK4)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_624])]) ).
tff(f4003,plain,
( spl6_512
<=> $less(sK0(sK5,sK4,sK3),$sum(c,summation(sK1(sK3,sK5,sK4)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_512])]) ).
tff(f5139,plain,
( $less(sK0(sK5,sK0(sK5,sK4,sK3),sK3),$sum(c,summation(sK1(sK3,sK5,sK4))))
| ~ spl6_4
| ~ spl6_512
| ~ spl6_593 ),
inference(unit_resulting_resolution,[],[f4005,f4729,f100]) ).
tff(f4005,plain,
( $less(sK0(sK5,sK4,sK3),$sum(c,summation(sK1(sK3,sK5,sK4))))
| ~ spl6_512 ),
inference(avatar_component_clause,[],[f4003]) ).
tff(f5136,plain,
( spl6_623
| ~ spl6_4
| ~ spl6_119
| ~ spl6_525 ),
inference(avatar_split_clause,[],[f5085,f4105,f845,f99,f5133]) ).
tff(f5133,plain,
( spl6_623
<=> $less(sK2(sK3,sK5,sK2(sK3,sK5,sK4)),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_623])]) ).
tff(f845,plain,
( spl6_119
<=> $less(sK2(sK3,sK5,sK4),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_119])]) ).
tff(f5085,plain,
( $less(sK2(sK3,sK5,sK2(sK3,sK5,sK4)),sK4)
| ~ spl6_4
| ~ spl6_119
| ~ spl6_525 ),
inference(unit_resulting_resolution,[],[f847,f4107,f100]) ).
tff(f4107,plain,
( $less(sK2(sK3,sK5,sK2(sK3,sK5,sK4)),sK2(sK3,sK5,sK4))
| ~ spl6_525 ),
inference(avatar_component_clause,[],[f4105]) ).
tff(f847,plain,
( $less(sK2(sK3,sK5,sK4),sK4)
| ~ spl6_119 ),
inference(avatar_component_clause,[],[f845]) ).
tff(f5131,plain,
( spl6_622
| ~ spl6_11
| ~ spl6_525 ),
inference(avatar_split_clause,[],[f5091,f4105,f128,f5128]) ).
tff(f5091,plain,
( $less(summation(sK2(sK3,sK5,sK2(sK3,sK5,sK4))),summation(sK2(sK3,sK5,sK4)))
| ~ spl6_11
| ~ spl6_525 ),
inference(unit_resulting_resolution,[],[f4107,f129]) ).
tff(f5126,plain,
( spl6_621
| ~ spl6_4
| ~ spl6_203
| ~ spl6_525 ),
inference(avatar_split_clause,[],[f5086,f4105,f1500,f99,f5123]) ).
tff(f5123,plain,
( spl6_621
<=> $less(sK2(sK3,sK5,sK2(sK3,sK5,sK4)),$sum(c,summation(sK1(sK3,sK5,sK4)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_621])]) ).
tff(f1500,plain,
( spl6_203
<=> $less(sK2(sK3,sK5,sK4),$sum(c,summation(sK1(sK3,sK5,sK4)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_203])]) ).
tff(f5086,plain,
( $less(sK2(sK3,sK5,sK2(sK3,sK5,sK4)),$sum(c,summation(sK1(sK3,sK5,sK4))))
| ~ spl6_4
| ~ spl6_203
| ~ spl6_525 ),
inference(unit_resulting_resolution,[],[f1502,f4107,f100]) ).
tff(f1502,plain,
( $less(sK2(sK3,sK5,sK4),$sum(c,summation(sK1(sK3,sK5,sK4))))
| ~ spl6_203 ),
inference(avatar_component_clause,[],[f1500]) ).
tff(f5121,plain,
( spl6_620
| ~ spl6_4
| ~ spl6_132
| ~ spl6_525 ),
inference(avatar_split_clause,[],[f5088,f4105,f974,f99,f5118]) ).
tff(f5118,plain,
( spl6_620
<=> $less(sK2(sK3,sK5,sK2(sK3,sK5,sK4)),$sum(c,summation(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_620])]) ).
tff(f974,plain,
( spl6_132
<=> $less(sK2(sK3,sK5,sK4),$sum(c,summation(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_132])]) ).
tff(f5088,plain,
( $less(sK2(sK3,sK5,sK2(sK3,sK5,sK4)),$sum(c,summation(sK3)))
| ~ spl6_4
| ~ spl6_132
| ~ spl6_525 ),
inference(unit_resulting_resolution,[],[f976,f4107,f100]) ).
tff(f976,plain,
( $less(sK2(sK3,sK5,sK4),$sum(c,summation(sK3)))
| ~ spl6_132 ),
inference(avatar_component_clause,[],[f974]) ).
tff(f5116,plain,
( ~ spl6_619
| ~ spl6_4
| spl6_520
| ~ spl6_525 ),
inference(avatar_split_clause,[],[f5083,f4105,f4072,f99,f5113]) ).
tff(f5113,plain,
( spl6_619
<=> $less(sK0(sK5,sK4,sK3),sK2(sK3,sK5,sK2(sK3,sK5,sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_619])]) ).
tff(f5083,plain,
( ~ $less(sK0(sK5,sK4,sK3),sK2(sK3,sK5,sK2(sK3,sK5,sK4)))
| ~ spl6_4
| spl6_520
| ~ spl6_525 ),
inference(unit_resulting_resolution,[],[f4074,f4107,f100]) ).
tff(f5111,plain,
( spl6_618
| ~ spl6_4
| ~ spl6_200
| ~ spl6_525 ),
inference(avatar_split_clause,[],[f5089,f4105,f1449,f99,f5108]) ).
tff(f5108,plain,
( spl6_618
<=> $less(sK2(sK3,sK5,sK2(sK3,sK5,sK4)),$sum(c,summation(sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_618])]) ).
tff(f1449,plain,
( spl6_200
<=> $less(sK2(sK3,sK5,sK4),$sum(c,summation(sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_200])]) ).
tff(f5089,plain,
( $less(sK2(sK3,sK5,sK2(sK3,sK5,sK4)),$sum(c,summation(sK5)))
| ~ spl6_4
| ~ spl6_200
| ~ spl6_525 ),
inference(unit_resulting_resolution,[],[f1451,f4107,f100]) ).
tff(f1451,plain,
( $less(sK2(sK3,sK5,sK4),$sum(c,summation(sK5)))
| ~ spl6_200 ),
inference(avatar_component_clause,[],[f1449]) ).
tff(f5106,plain,
( spl6_617
| ~ spl6_30
| ~ spl6_525 ),
inference(avatar_split_clause,[],[f5093,f4105,f205,f5104]) ).
tff(f5104,plain,
( spl6_617
<=> ! [X0: $int] : ~ ub(sK2(sK3,sK5,sK4),X0,sK2(sK3,sK5,sK2(sK3,sK5,sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_617])]) ).
tff(f5093,plain,
( ! [X0: $int] : ~ ub(sK2(sK3,sK5,sK4),X0,sK2(sK3,sK5,sK2(sK3,sK5,sK4)))
| ~ spl6_30
| ~ spl6_525 ),
inference(unit_resulting_resolution,[],[f4107,f206]) ).
tff(f5102,plain,
( spl6_616
| ~ spl6_9
| ~ spl6_525 ),
inference(avatar_split_clause,[],[f5090,f4105,f120,f5100]) ).
tff(f5100,plain,
( spl6_616
<=> ! [X0: $int] : ~ ub(X0,sK2(sK3,sK5,sK4),sK2(sK3,sK5,sK2(sK3,sK5,sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_616])]) ).
tff(f5090,plain,
( ! [X0: $int] : ~ ub(X0,sK2(sK3,sK5,sK4),sK2(sK3,sK5,sK2(sK3,sK5,sK4)))
| ~ spl6_9
| ~ spl6_525 ),
inference(unit_resulting_resolution,[],[f4107,f121]) ).
tff(f5098,plain,
( spl6_615
| ~ spl6_4
| ~ spl6_126
| ~ spl6_525 ),
inference(avatar_split_clause,[],[f5087,f4105,f892,f99,f5095]) ).
tff(f5095,plain,
( spl6_615
<=> $less(sK2(sK3,sK5,sK2(sK3,sK5,sK4)),$sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_615])]) ).
tff(f892,plain,
( spl6_126
<=> $less(sK2(sK3,sK5,sK4),$sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_126])]) ).
tff(f5087,plain,
( $less(sK2(sK3,sK5,sK2(sK3,sK5,sK4)),$sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))))
| ~ spl6_4
| ~ spl6_126
| ~ spl6_525 ),
inference(unit_resulting_resolution,[],[f893,f4107,f100]) ).
tff(f893,plain,
( $less(sK2(sK3,sK5,sK4),$sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))))
| ~ spl6_126 ),
inference(avatar_component_clause,[],[f892]) ).
tff(f5082,plain,
( spl6_614
| ~ spl6_9
| ~ spl6_512 ),
inference(avatar_split_clause,[],[f5041,f4003,f120,f5080]) ).
tff(f5080,plain,
( spl6_614
<=> ! [X0: $int] : ~ ub(X0,$sum(c,summation(sK1(sK3,sK5,sK4))),sK0(sK5,sK4,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_614])]) ).
tff(f5041,plain,
( ! [X0: $int] : ~ ub(X0,$sum(c,summation(sK1(sK3,sK5,sK4))),sK0(sK5,sK4,sK3))
| ~ spl6_9
| ~ spl6_512 ),
inference(unit_resulting_resolution,[],[f4005,f121]) ).
tff(f5078,plain,
( ~ spl6_613
| ~ spl6_42
| spl6_57
| ~ spl6_512 ),
inference(avatar_split_clause,[],[f5032,f4003,f366,f277,f5075]) ).
tff(f5075,plain,
( spl6_613
<=> model_max(sK1(sK3,sK5,sK4),sK3,sK0(sK5,sK4,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_613])]) ).
tff(f277,plain,
( spl6_42
<=> ! [X2: $int,X3: $int,X4: $int] :
( ~ $less(X4,$sum(c,summation(X2)))
| $less(X2,X3)
| ~ model_max(X2,X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_42])]) ).
tff(f366,plain,
( spl6_57
<=> $less(sK1(sK3,sK5,sK4),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_57])]) ).
tff(f5032,plain,
( ~ model_max(sK1(sK3,sK5,sK4),sK3,sK0(sK5,sK4,sK3))
| ~ spl6_42
| spl6_57
| ~ spl6_512 ),
inference(unit_resulting_resolution,[],[f368,f4005,f278]) ).
tff(f278,plain,
( ! [X2: $int,X3: $int,X4: $int] :
( ~ $less(X4,$sum(c,summation(X2)))
| $less(X2,X3)
| ~ model_max(X2,X3,X4) )
| ~ spl6_42 ),
inference(avatar_component_clause,[],[f277]) ).
tff(f368,plain,
( ~ $less(sK1(sK3,sK5,sK4),sK3)
| spl6_57 ),
inference(avatar_component_clause,[],[f366]) ).
tff(f5073,plain,
( spl6_612
| ~ spl6_11
| ~ spl6_512 ),
inference(avatar_split_clause,[],[f5042,f4003,f128,f5070]) ).
tff(f5070,plain,
( spl6_612
<=> $less(summation(sK0(sK5,sK4,sK3)),summation($sum(c,summation(sK1(sK3,sK5,sK4))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_612])]) ).
tff(f5042,plain,
( $less(summation(sK0(sK5,sK4,sK3)),summation($sum(c,summation(sK1(sK3,sK5,sK4)))))
| ~ spl6_11
| ~ spl6_512 ),
inference(unit_resulting_resolution,[],[f4005,f129]) ).
tff(f5068,plain,
( ~ spl6_611
| ~ spl6_41
| spl6_57
| ~ spl6_512 ),
inference(avatar_split_clause,[],[f5034,f4003,f366,f268,f5065]) ).
tff(f5065,plain,
( spl6_611
<=> model_max(sK3,sK1(sK3,sK5,sK4),sK0(sK5,sK4,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_611])]) ).
tff(f268,plain,
( spl6_41
<=> ! [X2: $int,X0: $int,X1: $int] :
( ~ model_max(X0,X1,X2)
| $less(X1,X0)
| ~ $less(X2,$sum(c,summation(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_41])]) ).
tff(f5034,plain,
( ~ model_max(sK3,sK1(sK3,sK5,sK4),sK0(sK5,sK4,sK3))
| ~ spl6_41
| spl6_57
| ~ spl6_512 ),
inference(unit_resulting_resolution,[],[f368,f4005,f269]) ).
tff(f269,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X2,$sum(c,summation(X1)))
| $less(X1,X0)
| ~ model_max(X0,X1,X2) )
| ~ spl6_41 ),
inference(avatar_component_clause,[],[f268]) ).
tff(f5063,plain,
( ~ spl6_610
| ~ spl6_41
| spl6_58
| ~ spl6_512 ),
inference(avatar_split_clause,[],[f5035,f4003,f371,f268,f5060]) ).
tff(f5060,plain,
( spl6_610
<=> model_max(sK5,sK1(sK3,sK5,sK4),sK0(sK5,sK4,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_610])]) ).
tff(f371,plain,
( spl6_58
<=> $less(sK1(sK3,sK5,sK4),sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_58])]) ).
tff(f5035,plain,
( ~ model_max(sK5,sK1(sK3,sK5,sK4),sK0(sK5,sK4,sK3))
| ~ spl6_41
| spl6_58
| ~ spl6_512 ),
inference(unit_resulting_resolution,[],[f373,f4005,f269]) ).
tff(f373,plain,
( ~ $less(sK1(sK3,sK5,sK4),sK5)
| spl6_58 ),
inference(avatar_component_clause,[],[f371]) ).
tff(f5058,plain,
( ~ spl6_609
| ~ spl6_4
| ~ spl6_512
| spl6_520 ),
inference(avatar_split_clause,[],[f5037,f4072,f4003,f99,f5055]) ).
tff(f5055,plain,
( spl6_609
<=> $less($sum(c,summation(sK1(sK3,sK5,sK4))),sK2(sK3,sK5,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_609])]) ).
tff(f5037,plain,
( ~ $less($sum(c,summation(sK1(sK3,sK5,sK4))),sK2(sK3,sK5,sK4))
| ~ spl6_4
| ~ spl6_512
| spl6_520 ),
inference(unit_resulting_resolution,[],[f4074,f4005,f100]) ).
tff(f5053,plain,
( ~ spl6_608
| ~ spl6_42
| spl6_58
| ~ spl6_512 ),
inference(avatar_split_clause,[],[f5033,f4003,f371,f277,f5050]) ).
tff(f5050,plain,
( spl6_608
<=> model_max(sK1(sK3,sK5,sK4),sK5,sK0(sK5,sK4,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_608])]) ).
tff(f5033,plain,
( ~ model_max(sK1(sK3,sK5,sK4),sK5,sK0(sK5,sK4,sK3))
| ~ spl6_42
| spl6_58
| ~ spl6_512 ),
inference(unit_resulting_resolution,[],[f373,f4005,f278]) ).
tff(f5048,plain,
( spl6_607
| ~ spl6_30
| ~ spl6_512 ),
inference(avatar_split_clause,[],[f5043,f4003,f205,f5046]) ).
tff(f5046,plain,
( spl6_607
<=> ! [X0: $int] : ~ ub($sum(c,summation(sK1(sK3,sK5,sK4))),X0,sK0(sK5,sK4,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_607])]) ).
tff(f5043,plain,
( ! [X0: $int] : ~ ub($sum(c,summation(sK1(sK3,sK5,sK4))),X0,sK0(sK5,sK4,sK3))
| ~ spl6_30
| ~ spl6_512 ),
inference(unit_resulting_resolution,[],[f4005,f206]) ).
tff(f4990,plain,
( ~ spl6_606
| ~ spl6_5
| ~ spl6_155
| ~ spl6_211 ),
inference(avatar_split_clause,[],[f4937,f1584,f1150,f103,f4987]) ).
tff(f4987,plain,
( spl6_606
<=> minsol_model_max(sK1(sK3,sK5,sK4),sK5,$sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_606])]) ).
tff(f1150,plain,
( spl6_155
<=> $less(sK4,$sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_155])]) ).
tff(f1584,plain,
( spl6_211
<=> model_max(sK1(sK3,sK5,sK4),sK5,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_211])]) ).
tff(f4937,plain,
( ~ minsol_model_max(sK1(sK3,sK5,sK4),sK5,$sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))))
| ~ spl6_5
| ~ spl6_155
| ~ spl6_211 ),
inference(unit_resulting_resolution,[],[f1585,f1151,f104]) ).
tff(f1151,plain,
( $less(sK4,$sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))))
| ~ spl6_155 ),
inference(avatar_component_clause,[],[f1150]) ).
tff(f1585,plain,
( model_max(sK1(sK3,sK5,sK4),sK5,sK4)
| ~ spl6_211 ),
inference(avatar_component_clause,[],[f1584]) ).
tff(f4984,plain,
( ~ spl6_605
| ~ spl6_5
| ~ spl6_155
| ~ spl6_232 ),
inference(avatar_split_clause,[],[f4934,f1744,f1150,f103,f4981]) ).
tff(f4981,plain,
( spl6_605
<=> minsol_model_max(sK3,sK3,$sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_605])]) ).
tff(f1744,plain,
( spl6_232
<=> model_max(sK3,sK3,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_232])]) ).
tff(f4934,plain,
( ~ minsol_model_max(sK3,sK3,$sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))))
| ~ spl6_5
| ~ spl6_155
| ~ spl6_232 ),
inference(unit_resulting_resolution,[],[f1746,f1151,f104]) ).
tff(f1746,plain,
( model_max(sK3,sK3,sK4)
| ~ spl6_232 ),
inference(avatar_component_clause,[],[f1744]) ).
tff(f4979,plain,
( spl6_604
| ~ spl6_4
| ~ spl6_155
| ~ spl6_497 ),
inference(avatar_split_clause,[],[f4922,f3853,f1150,f99,f4976]) ).
tff(f4976,plain,
( spl6_604
<=> $less(sK0(sK5,sK4,sK3),$sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_604])]) ).
tff(f3853,plain,
( spl6_497
<=> $less(sK0(sK5,sK4,sK3),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_497])]) ).
tff(f4922,plain,
( $less(sK0(sK5,sK4,sK3),$sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))))
| ~ spl6_4
| ~ spl6_155
| ~ spl6_497 ),
inference(unit_resulting_resolution,[],[f3855,f1151,f100]) ).
tff(f3855,plain,
( $less(sK0(sK5,sK4,sK3),sK4)
| ~ spl6_497 ),
inference(avatar_component_clause,[],[f3853]) ).
tff(f4974,plain,
( spl6_603
| ~ spl6_4
| ~ spl6_155
| ~ spl6_250 ),
inference(avatar_split_clause,[],[f4923,f1882,f1150,f99,f4971]) ).
tff(f4971,plain,
( spl6_603
<=> $less(sK0(sK3,sK4,sK3),$sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_603])]) ).
tff(f1882,plain,
( spl6_250
<=> $less(sK0(sK3,sK4,sK3),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_250])]) ).
tff(f4923,plain,
( $less(sK0(sK3,sK4,sK3),$sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))))
| ~ spl6_4
| ~ spl6_155
| ~ spl6_250 ),
inference(unit_resulting_resolution,[],[f1884,f1151,f100]) ).
tff(f1884,plain,
( $less(sK0(sK3,sK4,sK3),sK4)
| ~ spl6_250 ),
inference(avatar_component_clause,[],[f1882]) ).
tff(f4969,plain,
( ~ spl6_602
| ~ spl6_4
| spl6_54
| ~ spl6_155 ),
inference(avatar_split_clause,[],[f4948,f1150,f346,f99,f4966]) ).
tff(f4966,plain,
( spl6_602
<=> $less(summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4))),summation(sK1(sK3,sK5,sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_602])]) ).
tff(f346,plain,
( spl6_54
<=> $less(sK4,$sum(c,summation(sK1(sK3,sK5,sK4)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_54])]) ).
tff(f4948,plain,
( ~ $less(summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4))),summation(sK1(sK3,sK5,sK4)))
| ~ spl6_4
| spl6_54
| ~ spl6_155 ),
inference(cancellation,[],[f4927]) ).
tff(f4927,plain,
( ~ $less($sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))),$sum(c,summation(sK1(sK3,sK5,sK4))))
| ~ spl6_4
| spl6_54
| ~ spl6_155 ),
inference(unit_resulting_resolution,[],[f348,f1151,f100]) ).
tff(f348,plain,
( ~ $less(sK4,$sum(c,summation(sK1(sK3,sK5,sK4))))
| spl6_54 ),
inference(avatar_component_clause,[],[f346]) ).
tff(f4964,plain,
( ~ spl6_601
| ~ spl6_42
| spl6_152
| ~ spl6_155 ),
inference(avatar_split_clause,[],[f4915,f1150,f1123,f277,f4961]) ).
tff(f4961,plain,
( spl6_601
<=> model_max(sK1(sK3,sK5,sK2(sK3,sK5,sK4)),sK3,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_601])]) ).
tff(f1123,plain,
( spl6_152
<=> $less(sK1(sK3,sK5,sK2(sK3,sK5,sK4)),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_152])]) ).
tff(f4915,plain,
( ~ model_max(sK1(sK3,sK5,sK2(sK3,sK5,sK4)),sK3,sK4)
| ~ spl6_42
| spl6_152
| ~ spl6_155 ),
inference(unit_resulting_resolution,[],[f1125,f1151,f278]) ).
tff(f1125,plain,
( ~ $less(sK1(sK3,sK5,sK2(sK3,sK5,sK4)),sK3)
| spl6_152 ),
inference(avatar_component_clause,[],[f1123]) ).
tff(f4959,plain,
( ~ spl6_600
| ~ spl6_4
| spl6_39
| ~ spl6_155 ),
inference(avatar_split_clause,[],[f4949,f1150,f258,f99,f4956]) ).
tff(f4956,plain,
( spl6_600
<=> $less(summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4))),summation(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_600])]) ).
tff(f258,plain,
( spl6_39
<=> $less(sK4,$sum(c,summation(sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_39])]) ).
tff(f4949,plain,
( ~ $less(summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4))),summation(sK5))
| ~ spl6_4
| spl6_39
| ~ spl6_155 ),
inference(cancellation,[],[f4929]) ).
tff(f4929,plain,
( ~ $less($sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))),$sum(c,summation(sK5)))
| ~ spl6_4
| spl6_39
| ~ spl6_155 ),
inference(unit_resulting_resolution,[],[f260,f1151,f100]) ).
tff(f260,plain,
( ~ $less(sK4,$sum(c,summation(sK5)))
| spl6_39 ),
inference(avatar_component_clause,[],[f258]) ).
tff(f4821,plain,
( spl6_599
| ~ spl6_9
| ~ spl6_50 ),
inference(avatar_split_clause,[],[f4811,f322,f120,f4819]) ).
tff(f4819,plain,
( spl6_599
<=> ! [X0: $int] : ~ ub(X0,summation(sK5),summation(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_599])]) ).
tff(f322,plain,
( spl6_50
<=> $less(summation(sK3),summation(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_50])]) ).
tff(f4811,plain,
( ! [X0: $int] : ~ ub(X0,summation(sK5),summation(sK3))
| ~ spl6_9
| ~ spl6_50 ),
inference(unit_resulting_resolution,[],[f324,f121]) ).
tff(f324,plain,
( $less(summation(sK3),summation(sK5))
| ~ spl6_50 ),
inference(avatar_component_clause,[],[f322]) ).
tff(f4817,plain,
( spl6_598
| ~ spl6_30
| ~ spl6_50 ),
inference(avatar_split_clause,[],[f4813,f322,f205,f4815]) ).
tff(f4815,plain,
( spl6_598
<=> ! [X0: $int] : ~ ub(summation(sK5),X0,summation(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_598])]) ).
tff(f4813,plain,
( ! [X0: $int] : ~ ub(summation(sK5),X0,summation(sK3))
| ~ spl6_30
| ~ spl6_50 ),
inference(unit_resulting_resolution,[],[f324,f206]) ).
tff(f4807,plain,
( spl6_597
| ~ spl6_20
| spl6_48 ),
inference(avatar_split_clause,[],[f4796,f308,f164,f4803]) ).
tff(f4803,plain,
( spl6_597
<=> ub(summation(sK3),summation(sK3),summation(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_597])]) ).
tff(f308,plain,
( spl6_48
<=> $less(summation(sK5),summation(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_48])]) ).
tff(f4796,plain,
( ub(summation(sK3),summation(sK3),summation(sK5))
| ~ spl6_20
| spl6_48 ),
inference(unit_resulting_resolution,[],[f310,f310,f165]) ).
tff(f310,plain,
( ~ $less(summation(sK5),summation(sK3))
| spl6_48 ),
inference(avatar_component_clause,[],[f308]) ).
tff(f4806,plain,
( spl6_597
| ~ spl6_20
| spl6_48 ),
inference(avatar_split_clause,[],[f4798,f308,f164,f4803]) ).
tff(f4798,plain,
( ub(summation(sK3),summation(sK3),summation(sK5))
| ~ spl6_20
| spl6_48 ),
inference(unit_resulting_resolution,[],[f310,f310,f165]) ).
tff(f4773,plain,
( spl6_596
| ~ spl6_30
| ~ spl6_126 ),
inference(avatar_split_clause,[],[f4765,f892,f205,f4771]) ).
tff(f4771,plain,
( spl6_596
<=> ! [X0: $int] : ~ ub($sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))),X0,sK2(sK3,sK5,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_596])]) ).
tff(f4765,plain,
( ! [X0: $int] : ~ ub($sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))),X0,sK2(sK3,sK5,sK4))
| ~ spl6_30
| ~ spl6_126 ),
inference(unit_resulting_resolution,[],[f893,f206]) ).
tff(f4769,plain,
( spl6_595
| ~ spl6_9
| ~ spl6_126 ),
inference(avatar_split_clause,[],[f4763,f892,f120,f4767]) ).
tff(f4767,plain,
( spl6_595
<=> ! [X0: $int] : ~ ub(X0,$sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))),sK2(sK3,sK5,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_595])]) ).
tff(f4763,plain,
( ! [X0: $int] : ~ ub(X0,$sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))),sK2(sK3,sK5,sK4))
| ~ spl6_9
| ~ spl6_126 ),
inference(unit_resulting_resolution,[],[f893,f121]) ).
tff(f4738,plain,
( spl6_594
| ~ spl6_2
| ~ spl6_496
| spl6_528 ),
inference(avatar_split_clause,[],[f4722,f4125,f3848,f91,f4735]) ).
tff(f4735,plain,
( spl6_594
<=> model_max(sK3,sK5,sK0(sK5,sK0(sK5,sK4,sK3),sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_594])]) ).
tff(f91,plain,
( spl6_2
<=> ! [X2: $int,X0: $int,X1: $int] :
( ~ model_max(X2,X0,X1)
| model_max(X2,X0,sK0(X0,X1,X2))
| minsol_model_max(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).
tff(f4125,plain,
( spl6_528
<=> minsol_model_max(sK3,sK5,sK0(sK5,sK4,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_528])]) ).
tff(f4722,plain,
( model_max(sK3,sK5,sK0(sK5,sK0(sK5,sK4,sK3),sK3))
| ~ spl6_2
| ~ spl6_496
| spl6_528 ),
inference(unit_resulting_resolution,[],[f4127,f3850,f92]) ).
tff(f92,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( model_max(X2,X0,sK0(X0,X1,X2))
| minsol_model_max(X2,X0,X1)
| ~ model_max(X2,X0,X1) )
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f91]) ).
tff(f4127,plain,
( ~ minsol_model_max(sK3,sK5,sK0(sK5,sK4,sK3))
| spl6_528 ),
inference(avatar_component_clause,[],[f4125]) ).
tff(f4733,plain,
( ~ spl6_522
| spl6_38
| ~ spl6_41
| ~ spl6_496 ),
inference(avatar_split_clause,[],[f4720,f3848,f268,f254,f4083]) ).
tff(f4083,plain,
( spl6_522
<=> $less(sK0(sK5,sK4,sK3),$sum(c,summation(sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_522])]) ).
tff(f254,plain,
( spl6_38
<=> $less(sK5,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_38])]) ).
tff(f4720,plain,
( ~ $less(sK0(sK5,sK4,sK3),$sum(c,summation(sK5)))
| spl6_38
| ~ spl6_41
| ~ spl6_496 ),
inference(unit_resulting_resolution,[],[f255,f3850,f269]) ).
tff(f255,plain,
( ~ $less(sK5,sK3)
| spl6_38 ),
inference(avatar_component_clause,[],[f254]) ).
tff(f4732,plain,
( ~ spl6_522
| ~ spl6_23
| ~ spl6_46
| ~ spl6_496 ),
inference(avatar_split_clause,[],[f4731,f3848,f298,f176,f4083]) ).
tff(f176,plain,
( spl6_23
<=> ! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X1,$sum(c,summation(max(X0,X2))))
| ~ model_max(X0,X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_23])]) ).
tff(f298,plain,
( spl6_46
<=> ( sK5 = max(sK3,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_46])]) ).
tff(f4731,plain,
( ~ $less(sK0(sK5,sK4,sK3),$sum(c,summation(sK5)))
| ~ spl6_23
| ~ spl6_46
| ~ spl6_496 ),
inference(forward_demodulation,[],[f4721,f300]) ).
tff(f300,plain,
( ( sK5 = max(sK3,sK5) )
| ~ spl6_46 ),
inference(avatar_component_clause,[],[f298]) ).
tff(f4721,plain,
( ~ $less(sK0(sK5,sK4,sK3),$sum(c,summation(max(sK3,sK5))))
| ~ spl6_23
| ~ spl6_496 ),
inference(unit_resulting_resolution,[],[f3850,f177]) ).
tff(f177,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X1,$sum(c,summation(max(X0,X2))))
| ~ model_max(X0,X2,X1) )
| ~ spl6_23 ),
inference(avatar_component_clause,[],[f176]) ).
tff(f4730,plain,
( spl6_593
| ~ spl6_15
| ~ spl6_496
| spl6_528 ),
inference(avatar_split_clause,[],[f4723,f4125,f3848,f144,f4727]) ).
tff(f144,plain,
( spl6_15
<=> ! [X2: $int,X0: $int,X1: $int] :
( $less(sK0(X0,X1,X2),X1)
| minsol_model_max(X2,X0,X1)
| ~ model_max(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_15])]) ).
tff(f4723,plain,
( $less(sK0(sK5,sK0(sK5,sK4,sK3),sK3),sK0(sK5,sK4,sK3))
| ~ spl6_15
| ~ spl6_496
| spl6_528 ),
inference(unit_resulting_resolution,[],[f4127,f3850,f145]) ).
tff(f145,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( minsol_model_max(X2,X0,X1)
| $less(sK0(X0,X1,X2),X1)
| ~ model_max(X2,X0,X1) )
| ~ spl6_15 ),
inference(avatar_component_clause,[],[f144]) ).
tff(f4714,plain,
( ~ spl6_592
| ~ spl6_7
| ~ spl6_29
| ~ spl6_250 ),
inference(avatar_split_clause,[],[f4704,f1882,f201,f111,f4711]) ).
tff(f4711,plain,
( spl6_592
<=> model_ub(sK3,sK5,sK0(sK3,sK4,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_592])]) ).
tff(f111,plain,
( spl6_7
<=> minsol_model_ub(sK3,sK5,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_7])]) ).
tff(f201,plain,
( spl6_29
<=> ! [X4: $int,X0: $int,X2: $int,X1: $int] :
( ~ $less(X4,X2)
| ~ model_ub(X0,X1,X4)
| ~ minsol_model_ub(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_29])]) ).
tff(f4704,plain,
( ~ model_ub(sK3,sK5,sK0(sK3,sK4,sK3))
| ~ spl6_7
| ~ spl6_29
| ~ spl6_250 ),
inference(unit_resulting_resolution,[],[f1884,f113,f202]) ).
tff(f202,plain,
( ! [X2: $int,X0: $int,X1: $int,X4: $int] :
( ~ $less(X4,X2)
| ~ minsol_model_ub(X0,X1,X2)
| ~ model_ub(X0,X1,X4) )
| ~ spl6_29 ),
inference(avatar_component_clause,[],[f201]) ).
tff(f113,plain,
( minsol_model_ub(sK3,sK5,sK4)
| ~ spl6_7 ),
inference(avatar_component_clause,[],[f111]) ).
tff(f4680,plain,
( ~ spl6_9
| ~ spl6_44
| ~ spl6_69 ),
inference(avatar_contradiction_clause,[],[f4679]) ).
tff(f4679,plain,
( $false
| ~ spl6_9
| ~ spl6_44
| ~ spl6_69 ),
inference(subsumption_resolution,[],[f1889,f287]) ).
tff(f287,plain,
( $less(sK3,sK5)
| ~ spl6_44 ),
inference(avatar_component_clause,[],[f285]) ).
tff(f285,plain,
( spl6_44
<=> $less(sK3,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_44])]) ).
tff(f1889,plain,
( ~ $less(sK3,sK5)
| ~ spl6_9
| ~ spl6_69 ),
inference(unit_resulting_resolution,[],[f455,f121]) ).
tff(f455,plain,
( ub(sK5,sK5,sK3)
| ~ spl6_69 ),
inference(avatar_component_clause,[],[f453]) ).
tff(f453,plain,
( spl6_69
<=> ub(sK5,sK5,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_69])]) ).
tff(f4678,plain,
( spl6_591
| ~ spl6_20
| spl6_37
| spl6_74 ),
inference(avatar_split_clause,[],[f2099,f490,f246,f164,f4675]) ).
tff(f4675,plain,
( spl6_591
<=> ub(summation($sum(c,summation(sK3))),summation($sum(c,summation(max(sK3,sK5)))),summation(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_591])]) ).
tff(f246,plain,
( spl6_37
<=> $less(summation(sK4),summation($sum(c,summation(max(sK3,sK5))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_37])]) ).
tff(f490,plain,
( spl6_74
<=> $less(summation(sK4),summation($sum(c,summation(sK3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_74])]) ).
tff(f2099,plain,
( ub(summation($sum(c,summation(sK3))),summation($sum(c,summation(max(sK3,sK5)))),summation(sK4))
| ~ spl6_20
| spl6_37
| spl6_74 ),
inference(unit_resulting_resolution,[],[f248,f491,f165]) ).
tff(f491,plain,
( ~ $less(summation(sK4),summation($sum(c,summation(sK3))))
| spl6_74 ),
inference(avatar_component_clause,[],[f490]) ).
tff(f248,plain,
( ~ $less(summation(sK4),summation($sum(c,summation(max(sK3,sK5)))))
| spl6_37 ),
inference(avatar_component_clause,[],[f246]) ).
tff(f4673,plain,
( spl6_590
| ~ spl6_20
| spl6_36
| spl6_54 ),
inference(avatar_split_clause,[],[f3925,f346,f239,f164,f4670]) ).
tff(f4670,plain,
( spl6_590
<=> ub($sum(c,summation(max(sK3,sK5))),$sum(c,summation(sK1(sK3,sK5,sK4))),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_590])]) ).
tff(f239,plain,
( spl6_36
<=> $less(sK4,$sum(c,summation(max(sK3,sK5)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_36])]) ).
tff(f3925,plain,
( ub($sum(c,summation(max(sK3,sK5))),$sum(c,summation(sK1(sK3,sK5,sK4))),sK4)
| ~ spl6_20
| spl6_36
| spl6_54 ),
inference(unit_resulting_resolution,[],[f241,f348,f165]) ).
tff(f241,plain,
( ~ $less(sK4,$sum(c,summation(max(sK3,sK5))))
| spl6_36 ),
inference(avatar_component_clause,[],[f239]) ).
tff(f4668,plain,
( ~ spl6_9
| ~ spl6_44
| ~ spl6_117 ),
inference(avatar_contradiction_clause,[],[f4667]) ).
tff(f4667,plain,
( $false
| ~ spl6_9
| ~ spl6_44
| ~ spl6_117 ),
inference(subsumption_resolution,[],[f4016,f287]) ).
tff(f4016,plain,
( ~ $less(sK3,sK5)
| ~ spl6_9
| ~ spl6_117 ),
inference(unit_resulting_resolution,[],[f823,f121]) ).
tff(f823,plain,
( ub(sK3,sK5,sK3)
| ~ spl6_117 ),
inference(avatar_component_clause,[],[f822]) ).
tff(f822,plain,
( spl6_117
<=> ub(sK3,sK5,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_117])]) ).
tff(f4666,plain,
( spl6_197
| ~ spl6_20
| spl6_37 ),
inference(avatar_split_clause,[],[f1015,f246,f164,f1422]) ).
tff(f1422,plain,
( spl6_197
<=> ub(summation($sum(c,summation(max(sK3,sK5)))),summation($sum(c,summation(max(sK3,sK5)))),summation(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_197])]) ).
tff(f1015,plain,
( ub(summation($sum(c,summation(max(sK3,sK5)))),summation($sum(c,summation(max(sK3,sK5)))),summation(sK4))
| ~ spl6_20
| spl6_37 ),
inference(unit_resulting_resolution,[],[f248,f248,f165]) ).
tff(f4665,plain,
( spl6_589
| ~ spl6_28
| spl6_37 ),
inference(avatar_split_clause,[],[f1019,f246,f196,f4662]) ).
tff(f4662,plain,
( spl6_589
<=> ( max(summation(sK4),summation($sum(c,summation(max(sK3,sK5))))) = summation(sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_589])]) ).
tff(f1019,plain,
( ( max(summation(sK4),summation($sum(c,summation(max(sK3,sK5))))) = summation(sK4) )
| ~ spl6_28
| spl6_37 ),
inference(unit_resulting_resolution,[],[f248,f197]) ).
tff(f4660,plain,
( spl6_148
| ~ spl6_23
| ~ spl6_83 ),
inference(avatar_split_clause,[],[f2175,f558,f176,f1089]) ).
tff(f1089,plain,
( spl6_148
<=> ! [X0: $int] :
( ~ $less(X0,$sum(c,summation(sK4)))
| ~ model_max($sum(c,summation(sK3)),sK4,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_148])]) ).
tff(f558,plain,
( spl6_83
<=> ( max($sum(c,summation(sK3)),sK4) = sK4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_83])]) ).
tff(f2175,plain,
( ! [X0: $int] :
( ~ $less(X0,$sum(c,summation(sK4)))
| ~ model_max($sum(c,summation(sK3)),sK4,X0) )
| ~ spl6_23
| ~ spl6_83 ),
inference(superposition,[],[f177,f560]) ).
tff(f560,plain,
( ( max($sum(c,summation(sK3)),sK4) = sK4 )
| ~ spl6_83 ),
inference(avatar_component_clause,[],[f558]) ).
tff(f4659,plain,
( spl6_588
| ~ spl6_23
| ~ spl6_40 ),
inference(avatar_split_clause,[],[f1086,f263,f176,f4657]) ).
tff(f4657,plain,
( spl6_588
<=> ! [X0: $int] :
( ~ $less(X0,$sum(c,summation(sK4)))
| ~ model_max($sum(c,summation(max(sK3,sK5))),sK4,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_588])]) ).
tff(f263,plain,
( spl6_40
<=> ( max($sum(c,summation(max(sK3,sK5))),sK4) = sK4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_40])]) ).
tff(f1086,plain,
( ! [X0: $int] :
( ~ $less(X0,$sum(c,summation(sK4)))
| ~ model_max($sum(c,summation(max(sK3,sK5))),sK4,X0) )
| ~ spl6_23
| ~ spl6_40 ),
inference(superposition,[],[f177,f265]) ).
tff(f265,plain,
( ( max($sum(c,summation(max(sK3,sK5))),sK4) = sK4 )
| ~ spl6_40 ),
inference(avatar_component_clause,[],[f263]) ).
tff(f4655,plain,
( spl6_587
| ~ spl6_20
| spl6_37
| spl6_74 ),
inference(avatar_split_clause,[],[f2103,f490,f246,f164,f4652]) ).
tff(f4652,plain,
( spl6_587
<=> ub(summation($sum(c,summation(max(sK3,sK5)))),summation($sum(c,summation(sK3))),summation(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_587])]) ).
tff(f2103,plain,
( ub(summation($sum(c,summation(max(sK3,sK5)))),summation($sum(c,summation(sK3))),summation(sK4))
| ~ spl6_20
| spl6_37
| spl6_74 ),
inference(unit_resulting_resolution,[],[f248,f491,f165]) ).
tff(f4650,plain,
( ~ spl6_30
| ~ spl6_44
| ~ spl6_69 ),
inference(avatar_contradiction_clause,[],[f4649]) ).
tff(f4649,plain,
( $false
| ~ spl6_30
| ~ spl6_44
| ~ spl6_69 ),
inference(subsumption_resolution,[],[f1887,f287]) ).
tff(f1887,plain,
( ~ $less(sK3,sK5)
| ~ spl6_30
| ~ spl6_69 ),
inference(unit_resulting_resolution,[],[f455,f206]) ).
tff(f4648,plain,
( spl6_586
| ~ spl6_20
| spl6_37
| spl6_64 ),
inference(avatar_split_clause,[],[f1941,f415,f246,f164,f4645]) ).
tff(f4645,plain,
( spl6_586
<=> ub(summation($sum(c,summation(sK1(sK3,sK5,sK4)))),summation($sum(c,summation(max(sK3,sK5)))),summation(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_586])]) ).
tff(f415,plain,
( spl6_64
<=> $less(summation(sK4),summation($sum(c,summation(sK1(sK3,sK5,sK4))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_64])]) ).
tff(f1941,plain,
( ub(summation($sum(c,summation(sK1(sK3,sK5,sK4)))),summation($sum(c,summation(max(sK3,sK5)))),summation(sK4))
| ~ spl6_20
| spl6_37
| spl6_64 ),
inference(unit_resulting_resolution,[],[f248,f417,f165]) ).
tff(f417,plain,
( ~ $less(summation(sK4),summation($sum(c,summation(sK1(sK3,sK5,sK4)))))
| spl6_64 ),
inference(avatar_component_clause,[],[f415]) ).
tff(f4643,plain,
( spl6_585
| ~ spl6_26
| spl6_122 ),
inference(avatar_split_clause,[],[f970,f864,f188,f4640]) ).
tff(f4640,plain,
( spl6_585
<=> $less(sK2(sK3,sK5,sK4),$sum(c,summation(max(sK3,sK5)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_585])]) ).
tff(f188,plain,
( spl6_26
<=> ! [X2: $int,X0: $int,X1: $int] :
( model_max(X0,X2,X1)
| $less(X1,$sum(c,summation(max(X0,X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_26])]) ).
tff(f864,plain,
( spl6_122
<=> model_max(sK3,sK5,sK2(sK3,sK5,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_122])]) ).
tff(f970,plain,
( $less(sK2(sK3,sK5,sK4),$sum(c,summation(max(sK3,sK5))))
| ~ spl6_26
| spl6_122 ),
inference(unit_resulting_resolution,[],[f866,f189]) ).
tff(f189,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( model_max(X0,X2,X1)
| $less(X1,$sum(c,summation(max(X0,X2)))) )
| ~ spl6_26 ),
inference(avatar_component_clause,[],[f188]) ).
tff(f866,plain,
( ~ model_max(sK3,sK5,sK2(sK3,sK5,sK4))
| spl6_122 ),
inference(avatar_component_clause,[],[f864]) ).
tff(f4638,plain,
( spl6_584
| ~ spl6_20
| spl6_36
| spl6_54 ),
inference(avatar_split_clause,[],[f3919,f346,f239,f164,f4635]) ).
tff(f4635,plain,
( spl6_584
<=> ub($sum(c,summation(sK1(sK3,sK5,sK4))),$sum(c,summation(max(sK3,sK5))),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_584])]) ).
tff(f3919,plain,
( ub($sum(c,summation(sK1(sK3,sK5,sK4))),$sum(c,summation(max(sK3,sK5))),sK4)
| ~ spl6_20
| spl6_36
| spl6_54 ),
inference(unit_resulting_resolution,[],[f241,f348,f165]) ).
tff(f4633,plain,
( ~ spl6_126
| ~ spl6_11
| spl6_158 ),
inference(avatar_split_clause,[],[f3076,f1166,f128,f892]) ).
tff(f1166,plain,
( spl6_158
<=> $less(summation(sK2(sK3,sK5,sK4)),summation($sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_158])]) ).
tff(f3076,plain,
( ~ $less(sK2(sK3,sK5,sK4),$sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))))
| ~ spl6_11
| spl6_158 ),
inference(unit_resulting_resolution,[],[f1168,f129]) ).
tff(f1168,plain,
( ~ $less(summation(sK2(sK3,sK5,sK4)),summation($sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4))))))
| spl6_158 ),
inference(avatar_component_clause,[],[f1166]) ).
tff(f4632,plain,
( spl6_583
| ~ spl6_20
| spl6_36
| spl6_543 ),
inference(avatar_split_clause,[],[f4417,f4294,f239,f164,f4629]) ).
tff(f4629,plain,
( spl6_583
<=> ub(sK0(sK5,sK4,sK3),$sum(c,summation(max(sK3,sK5))),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_583])]) ).
tff(f4294,plain,
( spl6_543
<=> $less(sK4,sK0(sK5,sK4,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_543])]) ).
tff(f4417,plain,
( ub(sK0(sK5,sK4,sK3),$sum(c,summation(max(sK3,sK5))),sK4)
| ~ spl6_20
| spl6_36
| spl6_543 ),
inference(unit_resulting_resolution,[],[f241,f4295,f165]) ).
tff(f4295,plain,
( ~ $less(sK4,sK0(sK5,sK4,sK3))
| spl6_543 ),
inference(avatar_component_clause,[],[f4294]) ).
tff(f4627,plain,
( spl6_151
| ~ spl6_23
| ~ spl6_84 ),
inference(avatar_split_clause,[],[f2178,f563,f176,f1117]) ).
tff(f1117,plain,
( spl6_151
<=> ! [X0: $int] :
( ~ model_max(sK4,$sum(c,summation(sK3)),X0)
| ~ $less(X0,$sum(c,summation(sK4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_151])]) ).
tff(f563,plain,
( spl6_84
<=> ( max(sK4,$sum(c,summation(sK3))) = sK4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_84])]) ).
tff(f2178,plain,
( ! [X0: $int] :
( ~ model_max(sK4,$sum(c,summation(sK3)),X0)
| ~ $less(X0,$sum(c,summation(sK4))) )
| ~ spl6_23
| ~ spl6_84 ),
inference(superposition,[],[f177,f565]) ).
tff(f565,plain,
( ( max(sK4,$sum(c,summation(sK3))) = sK4 )
| ~ spl6_84 ),
inference(avatar_component_clause,[],[f563]) ).
tff(f4626,plain,
( spl6_532
| ~ spl6_20
| spl6_152 ),
inference(avatar_split_clause,[],[f4604,f1123,f164,f4166]) ).
tff(f4166,plain,
( spl6_532
<=> ub(sK3,sK3,sK1(sK3,sK5,sK2(sK3,sK5,sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_532])]) ).
tff(f4604,plain,
( ub(sK3,sK3,sK1(sK3,sK5,sK2(sK3,sK5,sK4)))
| ~ spl6_20
| spl6_152 ),
inference(unit_resulting_resolution,[],[f1125,f1125,f165]) ).
tff(f4625,plain,
( ~ spl6_20
| spl6_152
| spl6_532 ),
inference(avatar_contradiction_clause,[],[f4624]) ).
tff(f4624,plain,
( $false
| ~ spl6_20
| spl6_152
| spl6_532 ),
inference(subsumption_resolution,[],[f4604,f4168]) ).
tff(f4168,plain,
( ~ ub(sK3,sK3,sK1(sK3,sK5,sK2(sK3,sK5,sK4)))
| spl6_532 ),
inference(avatar_component_clause,[],[f4166]) ).
tff(f4623,plain,
( ~ spl6_582
| ~ spl6_10
| spl6_152 ),
inference(avatar_split_clause,[],[f4602,f1123,f124,f4620]) ).
tff(f4620,plain,
( spl6_582
<=> $less(summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4))),summation(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_582])]) ).
tff(f4602,plain,
( ~ $less(summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4))),summation(sK3))
| ~ spl6_10
| spl6_152 ),
inference(unit_resulting_resolution,[],[f1125,f125]) ).
tff(f4618,plain,
( ~ spl6_20
| spl6_152
| spl6_532 ),
inference(avatar_contradiction_clause,[],[f4617]) ).
tff(f4617,plain,
( $false
| ~ spl6_20
| spl6_152
| spl6_532 ),
inference(subsumption_resolution,[],[f4603,f4168]) ).
tff(f4603,plain,
( ub(sK3,sK3,sK1(sK3,sK5,sK2(sK3,sK5,sK4)))
| ~ spl6_20
| spl6_152 ),
inference(unit_resulting_resolution,[],[f1125,f1125,f165]) ).
tff(f4616,plain,
( spl6_581
| ~ spl6_25
| spl6_152 ),
inference(avatar_split_clause,[],[f4605,f1123,f184,f4613]) ).
tff(f4613,plain,
( spl6_581
<=> ( max(sK3,sK1(sK3,sK5,sK2(sK3,sK5,sK4))) = sK1(sK3,sK5,sK2(sK3,sK5,sK4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_581])]) ).
tff(f4605,plain,
( ( max(sK3,sK1(sK3,sK5,sK2(sK3,sK5,sK4))) = sK1(sK3,sK5,sK2(sK3,sK5,sK4)) )
| ~ spl6_25
| spl6_152 ),
inference(unit_resulting_resolution,[],[f1125,f185]) ).
tff(f4611,plain,
( spl6_580
| ~ spl6_28
| spl6_152 ),
inference(avatar_split_clause,[],[f4606,f1123,f196,f4608]) ).
tff(f4608,plain,
( spl6_580
<=> ( max(sK1(sK3,sK5,sK2(sK3,sK5,sK4)),sK3) = sK1(sK3,sK5,sK2(sK3,sK5,sK4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_580])]) ).
tff(f4606,plain,
( ( max(sK1(sK3,sK5,sK2(sK3,sK5,sK4)),sK3) = sK1(sK3,sK5,sK2(sK3,sK5,sK4)) )
| ~ spl6_28
| spl6_152 ),
inference(unit_resulting_resolution,[],[f1125,f197]) ).
tff(f4600,plain,
( spl6_579
| ~ spl6_9
| ~ spl6_400 ),
inference(avatar_split_clause,[],[f4590,f3297,f120,f4598]) ).
tff(f4598,plain,
( spl6_579
<=> ! [X0: $int] : ~ ub(X0,sK1(sK3,sK5,sK4),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_579])]) ).
tff(f3297,plain,
( spl6_400
<=> $less(sK3,sK1(sK3,sK5,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_400])]) ).
tff(f4590,plain,
( ! [X0: $int] : ~ ub(X0,sK1(sK3,sK5,sK4),sK3)
| ~ spl6_9
| ~ spl6_400 ),
inference(unit_resulting_resolution,[],[f3299,f121]) ).
tff(f3299,plain,
( $less(sK3,sK1(sK3,sK5,sK4))
| ~ spl6_400 ),
inference(avatar_component_clause,[],[f3297]) ).
tff(f4596,plain,
( spl6_578
| ~ spl6_30
| ~ spl6_400 ),
inference(avatar_split_clause,[],[f4592,f3297,f205,f4594]) ).
tff(f4594,plain,
( spl6_578
<=> ! [X0: $int] : ~ ub(sK1(sK3,sK5,sK4),X0,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_578])]) ).
tff(f4592,plain,
( ! [X0: $int] : ~ ub(sK1(sK3,sK5,sK4),X0,sK3)
| ~ spl6_30
| ~ spl6_400 ),
inference(unit_resulting_resolution,[],[f3299,f206]) ).
tff(f4587,plain,
( ~ spl6_577
| ~ spl6_5
| ~ spl6_8
| ~ spl6_105 ),
inference(avatar_split_clause,[],[f4565,f723,f115,f103,f4584]) ).
tff(f4584,plain,
( spl6_577
<=> model_max(sK3,sK5,$sum(c,summation(sK1(sK3,sK5,sK4)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_577])]) ).
tff(f115,plain,
( spl6_8
<=> minsol_model_max(sK3,sK5,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_8])]) ).
tff(f723,plain,
( spl6_105
<=> $less($sum(c,summation(sK1(sK3,sK5,sK4))),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_105])]) ).
tff(f4565,plain,
( ~ model_max(sK3,sK5,$sum(c,summation(sK1(sK3,sK5,sK4))))
| ~ spl6_5
| ~ spl6_8
| ~ spl6_105 ),
inference(unit_resulting_resolution,[],[f117,f725,f104]) ).
tff(f725,plain,
( $less($sum(c,summation(sK1(sK3,sK5,sK4))),sK4)
| ~ spl6_105 ),
inference(avatar_component_clause,[],[f723]) ).
tff(f117,plain,
( minsol_model_max(sK3,sK5,sK4)
| ~ spl6_8 ),
inference(avatar_component_clause,[],[f115]) ).
tff(f4582,plain,
( spl6_576
| ~ spl6_9
| ~ spl6_105 ),
inference(avatar_split_clause,[],[f4566,f723,f120,f4580]) ).
tff(f4580,plain,
( spl6_576
<=> ! [X0: $int] : ~ ub(X0,sK4,$sum(c,summation(sK1(sK3,sK5,sK4)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_576])]) ).
tff(f4566,plain,
( ! [X0: $int] : ~ ub(X0,sK4,$sum(c,summation(sK1(sK3,sK5,sK4))))
| ~ spl6_9
| ~ spl6_105 ),
inference(unit_resulting_resolution,[],[f725,f121]) ).
tff(f4578,plain,
( spl6_575
| ~ spl6_30
| ~ spl6_105 ),
inference(avatar_split_clause,[],[f4569,f723,f205,f4576]) ).
tff(f4576,plain,
( spl6_575
<=> ! [X0: $int] : ~ ub(sK4,X0,$sum(c,summation(sK1(sK3,sK5,sK4)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_575])]) ).
tff(f4569,plain,
( ! [X0: $int] : ~ ub(sK4,X0,$sum(c,summation(sK1(sK3,sK5,sK4))))
| ~ spl6_30
| ~ spl6_105 ),
inference(unit_resulting_resolution,[],[f725,f206]) ).
tff(f4574,plain,
( ~ spl6_574
| ~ spl6_29
| ~ spl6_105
| ~ spl6_229 ),
inference(avatar_split_clause,[],[f4568,f1724,f723,f201,f4571]) ).
tff(f4571,plain,
( spl6_574
<=> model_ub(sK3,sK3,$sum(c,summation(sK1(sK3,sK5,sK4)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_574])]) ).
tff(f1724,plain,
( spl6_229
<=> minsol_model_ub(sK3,sK3,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_229])]) ).
tff(f4568,plain,
( ~ model_ub(sK3,sK3,$sum(c,summation(sK1(sK3,sK5,sK4))))
| ~ spl6_29
| ~ spl6_105
| ~ spl6_229 ),
inference(unit_resulting_resolution,[],[f1726,f725,f202]) ).
tff(f1726,plain,
( minsol_model_ub(sK3,sK3,sK4)
| ~ spl6_229 ),
inference(avatar_component_clause,[],[f1724]) ).
tff(f4563,plain,
( spl6_573
| ~ spl6_1
| ~ spl6_499
| spl6_513 ),
inference(avatar_split_clause,[],[f4553,f4008,f3872,f87,f4560]) ).
tff(f4560,plain,
( spl6_573
<=> $less(sK2(sK3,sK5,sK0(sK5,sK4,sK3)),sK0(sK5,sK4,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_573])]) ).
tff(f87,plain,
( spl6_1
<=> ! [X2: $int,X0: $int,X1: $int] :
( minsol_model_ub(X0,X1,X2)
| ~ model_ub(X0,X1,X2)
| $less(sK2(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).
tff(f4008,plain,
( spl6_513
<=> minsol_model_ub(sK3,sK5,sK0(sK5,sK4,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_513])]) ).
tff(f4553,plain,
( $less(sK2(sK3,sK5,sK0(sK5,sK4,sK3)),sK0(sK5,sK4,sK3))
| ~ spl6_1
| ~ spl6_499
| spl6_513 ),
inference(unit_resulting_resolution,[],[f3873,f4010,f88]) ).
tff(f88,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( ~ model_ub(X0,X1,X2)
| $less(sK2(X0,X1,X2),X2)
| minsol_model_ub(X0,X1,X2) )
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f87]) ).
tff(f4010,plain,
( ~ minsol_model_ub(sK3,sK5,sK0(sK5,sK4,sK3))
| spl6_513 ),
inference(avatar_component_clause,[],[f4008]) ).
tff(f3873,plain,
( model_ub(sK3,sK5,sK0(sK5,sK4,sK3))
| ~ spl6_499 ),
inference(avatar_component_clause,[],[f3872]) ).
tff(f4558,plain,
( spl6_572
| ~ spl6_27
| ~ spl6_499
| spl6_513 ),
inference(avatar_split_clause,[],[f4552,f4008,f3872,f192,f4555]) ).
tff(f4555,plain,
( spl6_572
<=> model_ub(sK3,sK5,sK2(sK3,sK5,sK0(sK5,sK4,sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_572])]) ).
tff(f192,plain,
( spl6_27
<=> ! [X2: $int,X0: $int,X1: $int] :
( ~ model_ub(X0,X1,X2)
| model_ub(X0,X1,sK2(X0,X1,X2))
| minsol_model_ub(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_27])]) ).
tff(f4552,plain,
( model_ub(sK3,sK5,sK2(sK3,sK5,sK0(sK5,sK4,sK3)))
| ~ spl6_27
| ~ spl6_499
| spl6_513 ),
inference(unit_resulting_resolution,[],[f3873,f4010,f193]) ).
tff(f193,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( ~ model_ub(X0,X1,X2)
| model_ub(X0,X1,sK2(X0,X1,X2))
| minsol_model_ub(X0,X1,X2) )
| ~ spl6_27 ),
inference(avatar_component_clause,[],[f192]) ).
tff(f4545,plain,
( ~ spl6_26
| spl6_54
| ~ spl6_87
| spl6_211 ),
inference(avatar_contradiction_clause,[],[f4544]) ).
tff(f4544,plain,
( $false
| ~ spl6_26
| spl6_54
| ~ spl6_87
| spl6_211 ),
inference(subsumption_resolution,[],[f4543,f348]) ).
tff(f4543,plain,
( $less(sK4,$sum(c,summation(sK1(sK3,sK5,sK4))))
| ~ spl6_26
| ~ spl6_87
| spl6_211 ),
inference(forward_demodulation,[],[f4536,f590]) ).
tff(f590,plain,
( ( sK1(sK3,sK5,sK4) = max(sK1(sK3,sK5,sK4),sK5) )
| ~ spl6_87 ),
inference(avatar_component_clause,[],[f588]) ).
tff(f588,plain,
( spl6_87
<=> ( sK1(sK3,sK5,sK4) = max(sK1(sK3,sK5,sK4),sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_87])]) ).
tff(f4536,plain,
( $less(sK4,$sum(c,summation(max(sK1(sK3,sK5,sK4),sK5))))
| ~ spl6_26
| spl6_211 ),
inference(unit_resulting_resolution,[],[f1586,f189]) ).
tff(f1586,plain,
( ~ model_max(sK1(sK3,sK5,sK4),sK5,sK4)
| spl6_211 ),
inference(avatar_component_clause,[],[f1584]) ).
tff(f4542,plain,
( ~ spl6_571
| ~ spl6_14
| spl6_211 ),
inference(avatar_split_clause,[],[f4537,f1584,f140,f4539]) ).
tff(f4539,plain,
( spl6_571
<=> minsol_model_max(sK1(sK3,sK5,sK4),sK5,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_571])]) ).
tff(f4537,plain,
( ~ minsol_model_max(sK1(sK3,sK5,sK4),sK5,sK4)
| ~ spl6_14
| spl6_211 ),
inference(unit_resulting_resolution,[],[f1586,f141]) ).
tff(f4532,plain,
( ~ spl6_570
| ~ spl6_14
| spl6_210 ),
inference(avatar_split_clause,[],[f4524,f1579,f140,f4529]) ).
tff(f4529,plain,
( spl6_570
<=> minsol_model_max(sK5,sK1(sK3,sK5,sK4),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_570])]) ).
tff(f1579,plain,
( spl6_210
<=> model_max(sK5,sK1(sK3,sK5,sK4),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_210])]) ).
tff(f4524,plain,
( ~ minsol_model_max(sK5,sK1(sK3,sK5,sK4),sK4)
| ~ spl6_14
| spl6_210 ),
inference(unit_resulting_resolution,[],[f1581,f141]) ).
tff(f1581,plain,
( ~ model_max(sK5,sK1(sK3,sK5,sK4),sK4)
| spl6_210 ),
inference(avatar_component_clause,[],[f1579]) ).
tff(f4527,plain,
( ~ spl6_26
| spl6_54
| ~ spl6_88
| spl6_210 ),
inference(avatar_contradiction_clause,[],[f4526]) ).
tff(f4526,plain,
( $false
| ~ spl6_26
| spl6_54
| ~ spl6_88
| spl6_210 ),
inference(subsumption_resolution,[],[f4525,f348]) ).
tff(f4525,plain,
( $less(sK4,$sum(c,summation(sK1(sK3,sK5,sK4))))
| ~ spl6_26
| ~ spl6_88
| spl6_210 ),
inference(forward_demodulation,[],[f4523,f595]) ).
tff(f595,plain,
( ( sK1(sK3,sK5,sK4) = max(sK5,sK1(sK3,sK5,sK4)) )
| ~ spl6_88 ),
inference(avatar_component_clause,[],[f593]) ).
tff(f593,plain,
( spl6_88
<=> ( sK1(sK3,sK5,sK4) = max(sK5,sK1(sK3,sK5,sK4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_88])]) ).
tff(f4523,plain,
( $less(sK4,$sum(c,summation(max(sK5,sK1(sK3,sK5,sK4)))))
| ~ spl6_26
| spl6_210 ),
inference(unit_resulting_resolution,[],[f1581,f189]) ).
tff(f4519,plain,
( ~ spl6_569
| ~ spl6_14
| spl6_209 ),
inference(avatar_split_clause,[],[f4511,f1564,f140,f4516]) ).
tff(f4516,plain,
( spl6_569
<=> minsol_model_max(sK3,sK1(sK3,sK5,sK4),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_569])]) ).
tff(f1564,plain,
( spl6_209
<=> model_max(sK3,sK1(sK3,sK5,sK4),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_209])]) ).
tff(f4511,plain,
( ~ minsol_model_max(sK3,sK1(sK3,sK5,sK4),sK4)
| ~ spl6_14
| spl6_209 ),
inference(unit_resulting_resolution,[],[f1566,f141]) ).
tff(f1566,plain,
( ~ model_max(sK3,sK1(sK3,sK5,sK4),sK4)
| spl6_209 ),
inference(avatar_component_clause,[],[f1564]) ).
tff(f4514,plain,
( ~ spl6_26
| spl6_54
| ~ spl6_80
| spl6_209 ),
inference(avatar_contradiction_clause,[],[f4513]) ).
tff(f4513,plain,
( $false
| ~ spl6_26
| spl6_54
| ~ spl6_80
| spl6_209 ),
inference(subsumption_resolution,[],[f4512,f348]) ).
tff(f4512,plain,
( $less(sK4,$sum(c,summation(sK1(sK3,sK5,sK4))))
| ~ spl6_26
| ~ spl6_80
| spl6_209 ),
inference(forward_demodulation,[],[f4510,f527]) ).
tff(f527,plain,
( ( sK1(sK3,sK5,sK4) = max(sK3,sK1(sK3,sK5,sK4)) )
| ~ spl6_80 ),
inference(avatar_component_clause,[],[f525]) ).
tff(f525,plain,
( spl6_80
<=> ( sK1(sK3,sK5,sK4) = max(sK3,sK1(sK3,sK5,sK4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_80])]) ).
tff(f4510,plain,
( $less(sK4,$sum(c,summation(max(sK3,sK1(sK3,sK5,sK4)))))
| ~ spl6_26
| spl6_209 ),
inference(unit_resulting_resolution,[],[f1566,f189]) ).
tff(f4506,plain,
( ~ spl6_26
| spl6_54
| ~ spl6_78
| spl6_208 ),
inference(avatar_contradiction_clause,[],[f4505]) ).
tff(f4505,plain,
( $false
| ~ spl6_26
| spl6_54
| ~ spl6_78
| spl6_208 ),
inference(subsumption_resolution,[],[f4504,f348]) ).
tff(f4504,plain,
( $less(sK4,$sum(c,summation(sK1(sK3,sK5,sK4))))
| ~ spl6_26
| ~ spl6_78
| spl6_208 ),
inference(forward_demodulation,[],[f4497,f516]) ).
tff(f516,plain,
( ( sK1(sK3,sK5,sK4) = max(sK1(sK3,sK5,sK4),sK3) )
| ~ spl6_78 ),
inference(avatar_component_clause,[],[f514]) ).
tff(f514,plain,
( spl6_78
<=> ( sK1(sK3,sK5,sK4) = max(sK1(sK3,sK5,sK4),sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_78])]) ).
tff(f4497,plain,
( $less(sK4,$sum(c,summation(max(sK1(sK3,sK5,sK4),sK3))))
| ~ spl6_26
| spl6_208 ),
inference(unit_resulting_resolution,[],[f1561,f189]) ).
tff(f1561,plain,
( ~ model_max(sK1(sK3,sK5,sK4),sK3,sK4)
| spl6_208 ),
inference(avatar_component_clause,[],[f1559]) ).
tff(f1559,plain,
( spl6_208
<=> model_max(sK1(sK3,sK5,sK4),sK3,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_208])]) ).
tff(f4503,plain,
( ~ spl6_568
| ~ spl6_14
| spl6_208 ),
inference(avatar_split_clause,[],[f4498,f1559,f140,f4500]) ).
tff(f4500,plain,
( spl6_568
<=> minsol_model_max(sK1(sK3,sK5,sK4),sK3,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_568])]) ).
tff(f4498,plain,
( ~ minsol_model_max(sK1(sK3,sK5,sK4),sK3,sK4)
| ~ spl6_14
| spl6_208 ),
inference(unit_resulting_resolution,[],[f1561,f141]) ).
tff(f4494,plain,
( spl6_567
| ~ spl6_20
| spl6_155
| ~ spl6_412
| spl6_543 ),
inference(avatar_split_clause,[],[f4489,f4294,f3360,f1150,f164,f4491]) ).
tff(f4491,plain,
( spl6_567
<=> ub(sK0(sK5,sK4,sK3),sK2(sK3,sK5,sK4),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_567])]) ).
tff(f3360,plain,
( spl6_412
<=> ( sK2(sK3,sK5,sK4) = $sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_412])]) ).
tff(f4489,plain,
( ub(sK0(sK5,sK4,sK3),sK2(sK3,sK5,sK4),sK4)
| ~ spl6_20
| spl6_155
| ~ spl6_412
| spl6_543 ),
inference(forward_demodulation,[],[f4418,f3362]) ).
tff(f3362,plain,
( ( sK2(sK3,sK5,sK4) = $sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))) )
| ~ spl6_412 ),
inference(avatar_component_clause,[],[f3360]) ).
tff(f4418,plain,
( ub(sK0(sK5,sK4,sK3),$sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))),sK4)
| ~ spl6_20
| spl6_155
| spl6_543 ),
inference(unit_resulting_resolution,[],[f1152,f4295,f165]) ).
tff(f1152,plain,
( ~ $less(sK4,$sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))))
| spl6_155 ),
inference(avatar_component_clause,[],[f1150]) ).
tff(f4488,plain,
( spl6_560
| ~ spl6_20
| spl6_36
| ~ spl6_70
| spl6_543 ),
inference(avatar_split_clause,[],[f4487,f4294,f459,f239,f164,f4451]) ).
tff(f4451,plain,
( spl6_560
<=> ub(sK0(sK5,sK4,sK3),$sum(c,summation(sK3)),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_560])]) ).
tff(f459,plain,
( spl6_70
<=> ( sK3 = max(sK3,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_70])]) ).
tff(f4487,plain,
( ub(sK0(sK5,sK4,sK3),$sum(c,summation(sK3)),sK4)
| ~ spl6_20
| spl6_36
| ~ spl6_70
| spl6_543 ),
inference(forward_demodulation,[],[f4417,f461]) ).
tff(f461,plain,
( ( sK3 = max(sK3,sK5) )
| ~ spl6_70 ),
inference(avatar_component_clause,[],[f459]) ).
tff(f4486,plain,
( spl6_566
| ~ spl6_20
| spl6_39
| spl6_543 ),
inference(avatar_split_clause,[],[f4428,f4294,f258,f164,f4483]) ).
tff(f4483,plain,
( spl6_566
<=> ub($sum(c,summation(sK5)),sK0(sK5,sK4,sK3),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_566])]) ).
tff(f4428,plain,
( ub($sum(c,summation(sK5)),sK0(sK5,sK4,sK3),sK4)
| ~ spl6_20
| spl6_39
| spl6_543 ),
inference(unit_resulting_resolution,[],[f260,f4295,f165]) ).
tff(f4481,plain,
( spl6_565
| ~ spl6_20
| spl6_54
| spl6_543 ),
inference(avatar_split_clause,[],[f4419,f4294,f346,f164,f4478]) ).
tff(f4478,plain,
( spl6_565
<=> ub(sK0(sK5,sK4,sK3),$sum(c,summation(sK1(sK3,sK5,sK4))),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_565])]) ).
tff(f4419,plain,
( ub(sK0(sK5,sK4,sK3),$sum(c,summation(sK1(sK3,sK5,sK4))),sK4)
| ~ spl6_20
| spl6_54
| spl6_543 ),
inference(unit_resulting_resolution,[],[f348,f4295,f165]) ).
tff(f4476,plain,
( spl6_562
| ~ spl6_20
| spl6_543 ),
inference(avatar_split_clause,[],[f4430,f4294,f164,f4462]) ).
tff(f4462,plain,
( spl6_562
<=> ub(sK0(sK5,sK4,sK3),sK0(sK5,sK4,sK3),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_562])]) ).
tff(f4430,plain,
( ub(sK0(sK5,sK4,sK3),sK0(sK5,sK4,sK3),sK4)
| ~ spl6_20
| spl6_543 ),
inference(unit_resulting_resolution,[],[f4295,f4295,f165]) ).
tff(f4475,plain,
( spl6_564
| ~ spl6_20
| spl6_39
| spl6_543 ),
inference(avatar_split_clause,[],[f4421,f4294,f258,f164,f4472]) ).
tff(f4472,plain,
( spl6_564
<=> ub(sK0(sK5,sK4,sK3),$sum(c,summation(sK5)),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_564])]) ).
tff(f4421,plain,
( ub(sK0(sK5,sK4,sK3),$sum(c,summation(sK5)),sK4)
| ~ spl6_20
| spl6_39
| spl6_543 ),
inference(unit_resulting_resolution,[],[f260,f4295,f165]) ).
tff(f4470,plain,
( spl6_563
| ~ spl6_25
| spl6_543 ),
inference(avatar_split_clause,[],[f4431,f4294,f184,f4467]) ).
tff(f4467,plain,
( spl6_563
<=> ( sK4 = max(sK0(sK5,sK4,sK3),sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_563])]) ).
tff(f4431,plain,
( ( sK4 = max(sK0(sK5,sK4,sK3),sK4) )
| ~ spl6_25
| spl6_543 ),
inference(unit_resulting_resolution,[],[f4295,f185]) ).
tff(f4465,plain,
( spl6_562
| ~ spl6_20
| spl6_543 ),
inference(avatar_split_clause,[],[f4423,f4294,f164,f4462]) ).
tff(f4423,plain,
( ub(sK0(sK5,sK4,sK3),sK0(sK5,sK4,sK3),sK4)
| ~ spl6_20
| spl6_543 ),
inference(unit_resulting_resolution,[],[f4295,f4295,f165]) ).
tff(f4460,plain,
( spl6_561
| ~ spl6_20
| spl6_54
| spl6_543 ),
inference(avatar_split_clause,[],[f4426,f4294,f346,f164,f4457]) ).
tff(f4457,plain,
( spl6_561
<=> ub($sum(c,summation(sK1(sK3,sK5,sK4))),sK0(sK5,sK4,sK3),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_561])]) ).
tff(f4426,plain,
( ub($sum(c,summation(sK1(sK3,sK5,sK4))),sK0(sK5,sK4,sK3),sK4)
| ~ spl6_20
| spl6_54
| spl6_543 ),
inference(unit_resulting_resolution,[],[f348,f4295,f165]) ).
tff(f4455,plain,
( spl6_557
| ~ spl6_20
| spl6_43
| spl6_543 ),
inference(avatar_split_clause,[],[f4427,f4294,f281,f164,f4435]) ).
tff(f4435,plain,
( spl6_557
<=> ub($sum(c,summation(sK3)),sK0(sK5,sK4,sK3),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_557])]) ).
tff(f281,plain,
( spl6_43
<=> $less(sK4,$sum(c,summation(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_43])]) ).
tff(f4427,plain,
( ub($sum(c,summation(sK3)),sK0(sK5,sK4,sK3),sK4)
| ~ spl6_20
| spl6_43
| spl6_543 ),
inference(unit_resulting_resolution,[],[f283,f4295,f165]) ).
tff(f283,plain,
( ~ $less(sK4,$sum(c,summation(sK3)))
| spl6_43 ),
inference(avatar_component_clause,[],[f281]) ).
tff(f4454,plain,
( spl6_560
| ~ spl6_20
| spl6_43
| spl6_543 ),
inference(avatar_split_clause,[],[f4420,f4294,f281,f164,f4451]) ).
tff(f4420,plain,
( ub(sK0(sK5,sK4,sK3),$sum(c,summation(sK3)),sK4)
| ~ spl6_20
| spl6_43
| spl6_543 ),
inference(unit_resulting_resolution,[],[f283,f4295,f165]) ).
tff(f4449,plain,
( spl6_559
| ~ spl6_20
| spl6_155
| ~ spl6_412
| spl6_543 ),
inference(avatar_split_clause,[],[f4444,f4294,f3360,f1150,f164,f4446]) ).
tff(f4446,plain,
( spl6_559
<=> ub(sK2(sK3,sK5,sK4),sK0(sK5,sK4,sK3),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_559])]) ).
tff(f4444,plain,
( ub(sK2(sK3,sK5,sK4),sK0(sK5,sK4,sK3),sK4)
| ~ spl6_20
| spl6_155
| ~ spl6_412
| spl6_543 ),
inference(forward_demodulation,[],[f4425,f3362]) ).
tff(f4425,plain,
( ub($sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))),sK0(sK5,sK4,sK3),sK4)
| ~ spl6_20
| spl6_155
| spl6_543 ),
inference(unit_resulting_resolution,[],[f1152,f4295,f165]) ).
tff(f4443,plain,
( spl6_558
| ~ spl6_28
| spl6_543 ),
inference(avatar_split_clause,[],[f4432,f4294,f196,f4440]) ).
tff(f4440,plain,
( spl6_558
<=> ( sK4 = max(sK4,sK0(sK5,sK4,sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_558])]) ).
tff(f4432,plain,
( ( sK4 = max(sK4,sK0(sK5,sK4,sK3)) )
| ~ spl6_28
| spl6_543 ),
inference(unit_resulting_resolution,[],[f4295,f197]) ).
tff(f4438,plain,
( spl6_557
| ~ spl6_20
| spl6_36
| ~ spl6_70
| spl6_543 ),
inference(avatar_split_clause,[],[f4433,f4294,f459,f239,f164,f4435]) ).
tff(f4433,plain,
( ub($sum(c,summation(sK3)),sK0(sK5,sK4,sK3),sK4)
| ~ spl6_20
| spl6_36
| ~ spl6_70
| spl6_543 ),
inference(forward_demodulation,[],[f4424,f461]) ).
tff(f4424,plain,
( ub($sum(c,summation(max(sK3,sK5))),sK0(sK5,sK4,sK3),sK4)
| ~ spl6_20
| spl6_36
| spl6_543 ),
inference(unit_resulting_resolution,[],[f241,f4295,f165]) ).
tff(f4415,plain,
( ~ spl6_544
| spl6_543
| ~ spl6_28
| spl6_518 ),
inference(avatar_split_clause,[],[f4303,f4062,f196,f4294,f4298]) ).
tff(f4298,plain,
( spl6_544
<=> ( sK0(sK5,sK4,sK3) = sK4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_544])]) ).
tff(f4062,plain,
( spl6_518
<=> ( sK0(sK5,sK4,sK3) = max(sK4,sK0(sK5,sK4,sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_518])]) ).
tff(f4303,plain,
( $less(sK4,sK0(sK5,sK4,sK3))
| ( sK0(sK5,sK4,sK3) != sK4 )
| ~ spl6_28
| spl6_518 ),
inference(superposition,[],[f4063,f197]) ).
tff(f4063,plain,
( ( sK0(sK5,sK4,sK3) != max(sK4,sK0(sK5,sK4,sK3)) )
| spl6_518 ),
inference(avatar_component_clause,[],[f4062]) ).
tff(f4414,plain,
( spl6_556
| ~ spl6_4
| ~ spl6_250
| ~ spl6_543 ),
inference(avatar_split_clause,[],[f4322,f4294,f1882,f99,f4411]) ).
tff(f4411,plain,
( spl6_556
<=> $less(sK0(sK3,sK4,sK3),sK0(sK5,sK4,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_556])]) ).
tff(f4322,plain,
( $less(sK0(sK3,sK4,sK3),sK0(sK5,sK4,sK3))
| ~ spl6_4
| ~ spl6_250
| ~ spl6_543 ),
inference(unit_resulting_resolution,[],[f1884,f4296,f100]) ).
tff(f4296,plain,
( $less(sK4,sK0(sK5,sK4,sK3))
| ~ spl6_543 ),
inference(avatar_component_clause,[],[f4294]) ).
tff(f4409,plain,
( ~ spl6_555
| ~ spl6_5
| ~ spl6_232
| ~ spl6_543 ),
inference(avatar_split_clause,[],[f4334,f4294,f1744,f103,f4406]) ).
tff(f4406,plain,
( spl6_555
<=> minsol_model_max(sK3,sK3,sK0(sK5,sK4,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_555])]) ).
tff(f4334,plain,
( ~ minsol_model_max(sK3,sK3,sK0(sK5,sK4,sK3))
| ~ spl6_5
| ~ spl6_232
| ~ spl6_543 ),
inference(unit_resulting_resolution,[],[f1746,f4296,f104]) ).
tff(f4404,plain,
( spl6_554
| ~ spl6_9
| ~ spl6_543 ),
inference(avatar_split_clause,[],[f4335,f4294,f120,f4402]) ).
tff(f4402,plain,
( spl6_554
<=> ! [X0: $int] : ~ ub(X0,sK0(sK5,sK4,sK3),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_554])]) ).
tff(f4335,plain,
( ! [X0: $int] : ~ ub(X0,sK0(sK5,sK4,sK3),sK4)
| ~ spl6_9
| ~ spl6_543 ),
inference(unit_resulting_resolution,[],[f4296,f121]) ).
tff(f4400,plain,
( spl6_553
| ~ spl6_4
| ~ spl6_149
| ~ spl6_543 ),
inference(avatar_split_clause,[],[f4319,f4294,f1095,f99,f4397]) ).
tff(f4397,plain,
( spl6_553
<=> $less($sum(c,summation(sK3)),sK0(sK5,sK4,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_553])]) ).
tff(f1095,plain,
( spl6_149
<=> $less($sum(c,summation(sK3)),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_149])]) ).
tff(f4319,plain,
( $less($sum(c,summation(sK3)),sK0(sK5,sK4,sK3))
| ~ spl6_4
| ~ spl6_149
| ~ spl6_543 ),
inference(unit_resulting_resolution,[],[f1097,f4296,f100]) ).
tff(f1097,plain,
( $less($sum(c,summation(sK3)),sK4)
| ~ spl6_149 ),
inference(avatar_component_clause,[],[f1095]) ).
tff(f4395,plain,
( spl6_552
| ~ spl6_11
| ~ spl6_543 ),
inference(avatar_split_clause,[],[f4336,f4294,f128,f4392]) ).
tff(f4392,plain,
( spl6_552
<=> $less(summation(sK4),summation(sK0(sK5,sK4,sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_552])]) ).
tff(f4336,plain,
( $less(summation(sK4),summation(sK0(sK5,sK4,sK3)))
| ~ spl6_11
| ~ spl6_543 ),
inference(unit_resulting_resolution,[],[f4296,f129]) ).
tff(f4390,plain,
( spl6_551
| ~ spl6_4
| ~ spl6_101
| ~ spl6_543 ),
inference(avatar_split_clause,[],[f4318,f4294,f692,f99,f4387]) ).
tff(f4387,plain,
( spl6_551
<=> $less($sum(c,summation(sK5)),sK0(sK5,sK4,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_551])]) ).
tff(f692,plain,
( spl6_101
<=> $less($sum(c,summation(sK5)),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_101])]) ).
tff(f4318,plain,
( $less($sum(c,summation(sK5)),sK0(sK5,sK4,sK3))
| ~ spl6_4
| ~ spl6_101
| ~ spl6_543 ),
inference(unit_resulting_resolution,[],[f694,f4296,f100]) ).
tff(f694,plain,
( $less($sum(c,summation(sK5)),sK4)
| ~ spl6_101 ),
inference(avatar_component_clause,[],[f692]) ).
tff(f4385,plain,
( ~ spl6_4
| spl6_285
| ~ spl6_517
| ~ spl6_543 ),
inference(avatar_contradiction_clause,[],[f4384]) ).
tff(f4384,plain,
( $false
| ~ spl6_4
| spl6_285
| ~ spl6_517
| ~ spl6_543 ),
inference(subsumption_resolution,[],[f4330,f4058]) ).
tff(f4058,plain,
( $less(sK0(sK5,sK4,sK3),sK2(sK3,sK3,sK4))
| ~ spl6_517 ),
inference(avatar_component_clause,[],[f4057]) ).
tff(f4057,plain,
( spl6_517
<=> $less(sK0(sK5,sK4,sK3),sK2(sK3,sK3,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_517])]) ).
tff(f4330,plain,
( ~ $less(sK0(sK5,sK4,sK3),sK2(sK3,sK3,sK4))
| ~ spl6_4
| spl6_285
| ~ spl6_543 ),
inference(unit_resulting_resolution,[],[f2306,f4296,f100]) ).
tff(f2306,plain,
( ~ $less(sK4,sK2(sK3,sK3,sK4))
| spl6_285 ),
inference(avatar_component_clause,[],[f2304]) ).
tff(f2304,plain,
( spl6_285
<=> $less(sK4,sK2(sK3,sK3,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_285])]) ).
tff(f4383,plain,
( spl6_550
| ~ spl6_4
| ~ spl6_231
| ~ spl6_543 ),
inference(avatar_split_clause,[],[f4320,f4294,f1736,f99,f4380]) ).
tff(f4380,plain,
( spl6_550
<=> $less($sum(c,summation(sK1(sK3,sK3,sK4))),sK0(sK5,sK4,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_550])]) ).
tff(f1736,plain,
( spl6_231
<=> $less($sum(c,summation(sK1(sK3,sK3,sK4))),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_231])]) ).
tff(f4320,plain,
( $less($sum(c,summation(sK1(sK3,sK3,sK4))),sK0(sK5,sK4,sK3))
| ~ spl6_4
| ~ spl6_231
| ~ spl6_543 ),
inference(unit_resulting_resolution,[],[f1738,f4296,f100]) ).
tff(f1738,plain,
( $less($sum(c,summation(sK1(sK3,sK3,sK4))),sK4)
| ~ spl6_231 ),
inference(avatar_component_clause,[],[f1736]) ).
tff(f4378,plain,
( ~ spl6_549
| ~ spl6_29
| ~ spl6_118
| ~ spl6_543 ),
inference(avatar_split_clause,[],[f4337,f4294,f832,f201,f4375]) ).
tff(f4375,plain,
( spl6_549
<=> minsol_model_ub(sK5,sK5,sK0(sK5,sK4,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_549])]) ).
tff(f832,plain,
( spl6_118
<=> model_ub(sK5,sK5,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_118])]) ).
tff(f4337,plain,
( ~ minsol_model_ub(sK5,sK5,sK0(sK5,sK4,sK3))
| ~ spl6_29
| ~ spl6_118
| ~ spl6_543 ),
inference(unit_resulting_resolution,[],[f834,f4296,f202]) ).
tff(f834,plain,
( model_ub(sK5,sK5,sK4)
| ~ spl6_118 ),
inference(avatar_component_clause,[],[f832]) ).
tff(f4373,plain,
( ~ spl6_4
| spl6_54
| ~ spl6_512
| ~ spl6_543 ),
inference(avatar_contradiction_clause,[],[f4372]) ).
tff(f4372,plain,
( $false
| ~ spl6_4
| spl6_54
| ~ spl6_512
| ~ spl6_543 ),
inference(subsumption_resolution,[],[f4327,f4005]) ).
tff(f4327,plain,
( ~ $less(sK0(sK5,sK4,sK3),$sum(c,summation(sK1(sK3,sK5,sK4))))
| ~ spl6_4
| spl6_54
| ~ spl6_543 ),
inference(unit_resulting_resolution,[],[f348,f4296,f100]) ).
tff(f4371,plain,
( ~ spl6_4
| spl6_155
| ~ spl6_412
| ~ spl6_520
| ~ spl6_543 ),
inference(avatar_contradiction_clause,[],[f4370]) ).
tff(f4370,plain,
( $false
| ~ spl6_4
| spl6_155
| ~ spl6_412
| ~ spl6_520
| ~ spl6_543 ),
inference(subsumption_resolution,[],[f4369,f4073]) ).
tff(f4073,plain,
( $less(sK0(sK5,sK4,sK3),sK2(sK3,sK5,sK4))
| ~ spl6_520 ),
inference(avatar_component_clause,[],[f4072]) ).
tff(f4369,plain,
( ~ $less(sK0(sK5,sK4,sK3),sK2(sK3,sK5,sK4))
| ~ spl6_4
| spl6_155
| ~ spl6_412
| ~ spl6_543 ),
inference(forward_demodulation,[],[f4326,f3362]) ).
tff(f4326,plain,
( ~ $less(sK0(sK5,sK4,sK3),$sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))))
| ~ spl6_4
| spl6_155
| ~ spl6_543 ),
inference(unit_resulting_resolution,[],[f1152,f4296,f100]) ).
tff(f4368,plain,
( ~ spl6_548
| ~ spl6_29
| ~ spl6_178
| ~ spl6_543 ),
inference(avatar_split_clause,[],[f4338,f4294,f1309,f201,f4365]) ).
tff(f4365,plain,
( spl6_548
<=> minsol_model_ub(sK5,sK3,sK0(sK5,sK4,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_548])]) ).
tff(f1309,plain,
( spl6_178
<=> model_ub(sK5,sK3,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_178])]) ).
tff(f4338,plain,
( ~ minsol_model_ub(sK5,sK3,sK0(sK5,sK4,sK3))
| ~ spl6_29
| ~ spl6_178
| ~ spl6_543 ),
inference(unit_resulting_resolution,[],[f1311,f4296,f202]) ).
tff(f1311,plain,
( model_ub(sK5,sK3,sK4)
| ~ spl6_178 ),
inference(avatar_component_clause,[],[f1309]) ).
tff(f4363,plain,
( spl6_547
| ~ spl6_30
| ~ spl6_543 ),
inference(avatar_split_clause,[],[f4341,f4294,f205,f4361]) ).
tff(f4361,plain,
( spl6_547
<=> ! [X0: $int] : ~ ub(sK0(sK5,sK4,sK3),X0,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_547])]) ).
tff(f4341,plain,
( ! [X0: $int] : ~ ub(sK0(sK5,sK4,sK3),X0,sK4)
| ~ spl6_30
| ~ spl6_543 ),
inference(unit_resulting_resolution,[],[f4296,f206]) ).
tff(f4359,plain,
( ~ spl6_4
| spl6_403
| ~ spl6_520
| ~ spl6_543 ),
inference(avatar_contradiction_clause,[],[f4358]) ).
tff(f4358,plain,
( $false
| ~ spl6_4
| spl6_403
| ~ spl6_520
| ~ spl6_543 ),
inference(subsumption_resolution,[],[f4332,f3313]) ).
tff(f3313,plain,
( ~ $less(sK4,sK2(sK3,sK5,sK4))
| spl6_403 ),
inference(avatar_component_clause,[],[f3311]) ).
tff(f3311,plain,
( spl6_403
<=> $less(sK4,sK2(sK3,sK5,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_403])]) ).
tff(f4332,plain,
( $less(sK4,sK2(sK3,sK5,sK4))
| ~ spl6_4
| ~ spl6_520
| ~ spl6_543 ),
inference(unit_resulting_resolution,[],[f4073,f4296,f100]) ).
tff(f4357,plain,
( ~ spl6_4
| spl6_43
| ~ spl6_503
| ~ spl6_543 ),
inference(avatar_contradiction_clause,[],[f4356]) ).
tff(f4356,plain,
( $false
| ~ spl6_4
| spl6_43
| ~ spl6_503
| ~ spl6_543 ),
inference(subsumption_resolution,[],[f4328,f3908]) ).
tff(f3908,plain,
( $less(sK0(sK5,sK4,sK3),$sum(c,summation(sK3)))
| ~ spl6_503 ),
inference(avatar_component_clause,[],[f3907]) ).
tff(f4328,plain,
( ~ $less(sK0(sK5,sK4,sK3),$sum(c,summation(sK3)))
| ~ spl6_4
| spl6_43
| ~ spl6_543 ),
inference(unit_resulting_resolution,[],[f283,f4296,f100]) ).
tff(f4355,plain,
( ~ spl6_4
| spl6_36
| ~ spl6_70
| ~ spl6_503
| ~ spl6_543 ),
inference(avatar_contradiction_clause,[],[f4354]) ).
tff(f4354,plain,
( $false
| ~ spl6_4
| spl6_36
| ~ spl6_70
| ~ spl6_503
| ~ spl6_543 ),
inference(subsumption_resolution,[],[f4353,f3908]) ).
tff(f4353,plain,
( ~ $less(sK0(sK5,sK4,sK3),$sum(c,summation(sK3)))
| ~ spl6_4
| spl6_36
| ~ spl6_70
| ~ spl6_543 ),
inference(forward_demodulation,[],[f4325,f461]) ).
tff(f4325,plain,
( ~ $less(sK0(sK5,sK4,sK3),$sum(c,summation(max(sK3,sK5))))
| ~ spl6_4
| spl6_36
| ~ spl6_543 ),
inference(unit_resulting_resolution,[],[f241,f4296,f100]) ).
tff(f4352,plain,
( spl6_546
| ~ spl6_4
| ~ spl6_119
| ~ spl6_543 ),
inference(avatar_split_clause,[],[f4323,f4294,f845,f99,f4349]) ).
tff(f4349,plain,
( spl6_546
<=> $less(sK2(sK3,sK5,sK4),sK0(sK5,sK4,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_546])]) ).
tff(f4323,plain,
( $less(sK2(sK3,sK5,sK4),sK0(sK5,sK4,sK3))
| ~ spl6_4
| ~ spl6_119
| ~ spl6_543 ),
inference(unit_resulting_resolution,[],[f847,f4296,f100]) ).
tff(f4347,plain,
( ~ spl6_4
| ~ spl6_497
| ~ spl6_543 ),
inference(avatar_contradiction_clause,[],[f4346]) ).
tff(f4346,plain,
( $false
| ~ spl6_4
| ~ spl6_497
| ~ spl6_543 ),
inference(evaluation,[],[f4345]) ).
tff(f4345,plain,
( $less(0,0)
| ~ spl6_4
| ~ spl6_497
| ~ spl6_543 ),
inference(cancellation,[],[f4321]) ).
tff(f4321,plain,
( $less(sK0(sK5,sK4,sK3),sK0(sK5,sK4,sK3))
| ~ spl6_4
| ~ spl6_497
| ~ spl6_543 ),
inference(unit_resulting_resolution,[],[f3855,f4296,f100]) ).
tff(f4344,plain,
( ~ spl6_4
| ~ spl6_497
| ~ spl6_543 ),
inference(avatar_contradiction_clause,[],[f4343]) ).
tff(f4343,plain,
( $false
| ~ spl6_4
| ~ spl6_497
| ~ spl6_543 ),
inference(evaluation,[],[f4342]) ).
tff(f4342,plain,
( $less(0,0)
| ~ spl6_4
| ~ spl6_497
| ~ spl6_543 ),
inference(cancellation,[],[f4331]) ).
tff(f4331,plain,
( $less(sK4,sK4)
| ~ spl6_4
| ~ spl6_497
| ~ spl6_543 ),
inference(unit_resulting_resolution,[],[f3855,f4296,f100]) ).
tff(f4317,plain,
( ~ spl6_545
| ~ spl6_5
| ~ spl6_8
| ~ spl6_250 ),
inference(avatar_split_clause,[],[f4308,f1882,f115,f103,f4314]) ).
tff(f4314,plain,
( spl6_545
<=> model_max(sK3,sK5,sK0(sK3,sK4,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_545])]) ).
tff(f4308,plain,
( ~ model_max(sK3,sK5,sK0(sK3,sK4,sK3))
| ~ spl6_5
| ~ spl6_8
| ~ spl6_250 ),
inference(unit_resulting_resolution,[],[f117,f1884,f104]) ).
tff(f4301,plain,
( spl6_543
| ~ spl6_544
| ~ spl6_25
| spl6_516 ),
inference(avatar_split_clause,[],[f4291,f4052,f184,f4298,f4294]) ).
tff(f4052,plain,
( spl6_516
<=> ( sK0(sK5,sK4,sK3) = max(sK0(sK5,sK4,sK3),sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_516])]) ).
tff(f4291,plain,
( ( sK0(sK5,sK4,sK3) != sK4 )
| $less(sK4,sK0(sK5,sK4,sK3))
| ~ spl6_25
| spl6_516 ),
inference(superposition,[],[f4053,f185]) ).
tff(f4053,plain,
( ( sK0(sK5,sK4,sK3) != max(sK0(sK5,sK4,sK3),sK4) )
| spl6_516 ),
inference(avatar_component_clause,[],[f4052]) ).
tff(f4280,plain,
( spl6_542
| ~ spl6_20
| spl6_520 ),
inference(avatar_split_clause,[],[f4257,f4072,f164,f4276]) ).
tff(f4276,plain,
( spl6_542
<=> ub(sK2(sK3,sK5,sK4),sK2(sK3,sK5,sK4),sK0(sK5,sK4,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_542])]) ).
tff(f4257,plain,
( ub(sK2(sK3,sK5,sK4),sK2(sK3,sK5,sK4),sK0(sK5,sK4,sK3))
| ~ spl6_20
| spl6_520 ),
inference(unit_resulting_resolution,[],[f4074,f4074,f165]) ).
tff(f4279,plain,
( spl6_542
| ~ spl6_20
| spl6_520 ),
inference(avatar_split_clause,[],[f4259,f4072,f164,f4276]) ).
tff(f4259,plain,
( ub(sK2(sK3,sK5,sK4),sK2(sK3,sK5,sK4),sK0(sK5,sK4,sK3))
| ~ spl6_20
| spl6_520 ),
inference(unit_resulting_resolution,[],[f4074,f4074,f165]) ).
tff(f4274,plain,
( spl6_541
| ~ spl6_25
| spl6_520 ),
inference(avatar_split_clause,[],[f4261,f4072,f184,f4271]) ).
tff(f4271,plain,
( spl6_541
<=> ( sK0(sK5,sK4,sK3) = max(sK2(sK3,sK5,sK4),sK0(sK5,sK4,sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_541])]) ).
tff(f4261,plain,
( ( sK0(sK5,sK4,sK3) = max(sK2(sK3,sK5,sK4),sK0(sK5,sK4,sK3)) )
| ~ spl6_25
| spl6_520 ),
inference(unit_resulting_resolution,[],[f4074,f185]) ).
tff(f4269,plain,
( ~ spl6_10
| spl6_520
| ~ spl6_539 ),
inference(avatar_contradiction_clause,[],[f4268]) ).
tff(f4268,plain,
( $false
| ~ spl6_10
| spl6_520
| ~ spl6_539 ),
inference(subsumption_resolution,[],[f4256,f4226]) ).
tff(f4226,plain,
( $less(summation(sK0(sK5,sK4,sK3)),summation(sK2(sK3,sK5,sK4)))
| ~ spl6_539 ),
inference(avatar_component_clause,[],[f4224]) ).
tff(f4224,plain,
( spl6_539
<=> $less(summation(sK0(sK5,sK4,sK3)),summation(sK2(sK3,sK5,sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_539])]) ).
tff(f4256,plain,
( ~ $less(summation(sK0(sK5,sK4,sK3)),summation(sK2(sK3,sK5,sK4)))
| ~ spl6_10
| spl6_520 ),
inference(unit_resulting_resolution,[],[f4074,f125]) ).
tff(f4267,plain,
( spl6_540
| ~ spl6_28
| spl6_520 ),
inference(avatar_split_clause,[],[f4262,f4072,f196,f4264]) ).
tff(f4264,plain,
( spl6_540
<=> ( sK0(sK5,sK4,sK3) = max(sK0(sK5,sK4,sK3),sK2(sK3,sK5,sK4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_540])]) ).
tff(f4262,plain,
( ( sK0(sK5,sK4,sK3) = max(sK0(sK5,sK4,sK3),sK2(sK3,sK5,sK4)) )
| ~ spl6_28
| spl6_520 ),
inference(unit_resulting_resolution,[],[f4074,f197]) ).
tff(f4249,plain,
( ~ spl6_25
| spl6_223 ),
inference(avatar_contradiction_clause,[],[f4248]) ).
tff(f4248,plain,
( $false
| ~ spl6_25
| spl6_223 ),
inference(evaluation,[],[f4247]) ).
tff(f4247,plain,
( $less(0,0)
| ~ spl6_25
| spl6_223 ),
inference(cancellation,[],[f4246]) ).
tff(f4246,plain,
( $less(sK3,sK3)
| ~ spl6_25
| spl6_223 ),
inference(trivial_inequality_removal,[],[f4235]) ).
tff(f4235,plain,
( ( sK3 != sK3 )
| $less(sK3,sK3)
| ~ spl6_25
| spl6_223 ),
inference(superposition,[],[f1685,f185]) ).
tff(f1685,plain,
( ( sK3 != max(sK3,sK3) )
| spl6_223 ),
inference(avatar_component_clause,[],[f1684]) ).
tff(f1684,plain,
( spl6_223
<=> ( sK3 = max(sK3,sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_223])]) ).
tff(f4245,plain,
( ~ spl6_28
| spl6_223 ),
inference(avatar_contradiction_clause,[],[f4244]) ).
tff(f4244,plain,
( $false
| ~ spl6_28
| spl6_223 ),
inference(evaluation,[],[f4243]) ).
tff(f4243,plain,
( $less(0,0)
| ~ spl6_28
| spl6_223 ),
inference(cancellation,[],[f4233]) ).
tff(f4233,plain,
( $less(sK3,sK3)
| ~ spl6_28
| spl6_223 ),
inference(unit_resulting_resolution,[],[f1685,f197]) ).
tff(f4242,plain,
( ~ spl6_28
| spl6_223 ),
inference(avatar_contradiction_clause,[],[f4241]) ).
tff(f4241,plain,
( $false
| ~ spl6_28
| spl6_223 ),
inference(evaluation,[],[f4240]) ).
tff(f4240,plain,
( $less(0,0)
| ~ spl6_28
| spl6_223 ),
inference(cancellation,[],[f4239]) ).
tff(f4239,plain,
( $less(sK3,sK3)
| ~ spl6_28
| spl6_223 ),
inference(trivial_inequality_removal,[],[f4234]) ).
tff(f4234,plain,
( $less(sK3,sK3)
| ( sK3 != sK3 )
| ~ spl6_28
| spl6_223 ),
inference(superposition,[],[f1685,f197]) ).
tff(f4238,plain,
( ~ spl6_25
| spl6_223 ),
inference(avatar_contradiction_clause,[],[f4237]) ).
tff(f4237,plain,
( $false
| ~ spl6_25
| spl6_223 ),
inference(evaluation,[],[f4236]) ).
tff(f4236,plain,
( $less(0,0)
| ~ spl6_25
| spl6_223 ),
inference(cancellation,[],[f4232]) ).
tff(f4232,plain,
( $less(sK3,sK3)
| ~ spl6_25
| spl6_223 ),
inference(unit_resulting_resolution,[],[f1685,f185]) ).
tff(f4227,plain,
( spl6_539
| ~ spl6_11
| ~ spl6_520 ),
inference(avatar_split_clause,[],[f4212,f4072,f128,f4224]) ).
tff(f4212,plain,
( $less(summation(sK0(sK5,sK4,sK3)),summation(sK2(sK3,sK5,sK4)))
| ~ spl6_11
| ~ spl6_520 ),
inference(unit_resulting_resolution,[],[f4073,f129]) ).
tff(f4222,plain,
( spl6_538
| ~ spl6_9
| ~ spl6_520 ),
inference(avatar_split_clause,[],[f4211,f4072,f120,f4220]) ).
tff(f4220,plain,
( spl6_538
<=> ! [X0: $int] : ~ ub(X0,sK2(sK3,sK5,sK4),sK0(sK5,sK4,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_538])]) ).
tff(f4211,plain,
( ! [X0: $int] : ~ ub(X0,sK2(sK3,sK5,sK4),sK0(sK5,sK4,sK3))
| ~ spl6_9
| ~ spl6_520 ),
inference(unit_resulting_resolution,[],[f4073,f121]) ).
tff(f4218,plain,
( spl6_537
| ~ spl6_30
| ~ spl6_520 ),
inference(avatar_split_clause,[],[f4214,f4072,f205,f4216]) ).
tff(f4216,plain,
( spl6_537
<=> ! [X0: $int] : ~ ub(sK2(sK3,sK5,sK4),X0,sK0(sK5,sK4,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_537])]) ).
tff(f4214,plain,
( ! [X0: $int] : ~ ub(sK2(sK3,sK5,sK4),X0,sK0(sK5,sK4,sK3))
| ~ spl6_30
| ~ spl6_520 ),
inference(unit_resulting_resolution,[],[f4073,f206]) ).
tff(f4207,plain,
( spl6_536
| ~ spl6_9
| ~ spl6_498 ),
inference(avatar_split_clause,[],[f4192,f3867,f120,f4205]) ).
tff(f4205,plain,
( spl6_536
<=> ! [X0: $int] : ~ ub(X0,summation(sK4),summation(sK0(sK5,sK4,sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_536])]) ).
tff(f3867,plain,
( spl6_498
<=> $less(summation(sK0(sK5,sK4,sK3)),summation(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_498])]) ).
tff(f4192,plain,
( ! [X0: $int] : ~ ub(X0,summation(sK4),summation(sK0(sK5,sK4,sK3)))
| ~ spl6_9
| ~ spl6_498 ),
inference(unit_resulting_resolution,[],[f3869,f121]) ).
tff(f3869,plain,
( $less(summation(sK0(sK5,sK4,sK3)),summation(sK4))
| ~ spl6_498 ),
inference(avatar_component_clause,[],[f3867]) ).
tff(f4203,plain,
( spl6_535
| ~ spl6_11
| ~ spl6_498 ),
inference(avatar_split_clause,[],[f4193,f3867,f128,f4200]) ).
tff(f4200,plain,
( spl6_535
<=> $less(summation(summation(sK0(sK5,sK4,sK3))),summation(summation(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_535])]) ).
tff(f4193,plain,
( $less(summation(summation(sK0(sK5,sK4,sK3))),summation(summation(sK4)))
| ~ spl6_11
| ~ spl6_498 ),
inference(unit_resulting_resolution,[],[f3869,f129]) ).
tff(f4198,plain,
( spl6_534
| ~ spl6_30
| ~ spl6_498 ),
inference(avatar_split_clause,[],[f4194,f3867,f205,f4196]) ).
tff(f4196,plain,
( spl6_534
<=> ! [X0: $int] : ~ ub(summation(sK4),X0,summation(sK0(sK5,sK4,sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_534])]) ).
tff(f4194,plain,
( ! [X0: $int] : ~ ub(summation(sK4),X0,summation(sK0(sK5,sK4,sK3)))
| ~ spl6_30
| ~ spl6_498 ),
inference(unit_resulting_resolution,[],[f3869,f206]) ).
tff(f4176,plain,
( ~ spl6_533
| ~ spl6_34
| spl6_510 ),
inference(avatar_split_clause,[],[f4171,f3988,f221,f4173]) ).
tff(f4173,plain,
( spl6_533
<=> minsol_model_ub(sK3,sK3,sK0(sK5,sK4,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_533])]) ).
tff(f3988,plain,
( spl6_510
<=> model_ub(sK3,sK3,sK0(sK5,sK4,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_510])]) ).
tff(f4171,plain,
( ~ minsol_model_ub(sK3,sK3,sK0(sK5,sK4,sK3))
| ~ spl6_34
| spl6_510 ),
inference(unit_resulting_resolution,[],[f3990,f222]) ).
tff(f3990,plain,
( ~ model_ub(sK3,sK3,sK0(sK5,sK4,sK3))
| spl6_510 ),
inference(avatar_component_clause,[],[f3988]) ).
tff(f4169,plain,
( ~ spl6_532
| ~ spl6_13
| spl6_126
| spl6_509 ),
inference(avatar_split_clause,[],[f4158,f3983,f892,f136,f4166]) ).
tff(f3983,plain,
( spl6_509
<=> model_ub(sK3,sK3,sK2(sK3,sK5,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_509])]) ).
tff(f4158,plain,
( ~ ub(sK3,sK3,sK1(sK3,sK5,sK2(sK3,sK5,sK4)))
| ~ spl6_13
| spl6_126
| spl6_509 ),
inference(unit_resulting_resolution,[],[f894,f3985,f137]) ).
tff(f3985,plain,
( ~ model_ub(sK3,sK3,sK2(sK3,sK5,sK4))
| spl6_509 ),
inference(avatar_component_clause,[],[f3983]) ).
tff(f894,plain,
( ~ $less(sK2(sK3,sK5,sK4),$sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))))
| spl6_126 ),
inference(avatar_component_clause,[],[f892]) ).
tff(f4164,plain,
( ~ spl6_531
| ~ spl6_34
| spl6_509 ),
inference(avatar_split_clause,[],[f4159,f3983,f221,f4161]) ).
tff(f4161,plain,
( spl6_531
<=> minsol_model_ub(sK3,sK3,sK2(sK3,sK5,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_531])]) ).
tff(f4159,plain,
( ~ minsol_model_ub(sK3,sK3,sK2(sK3,sK5,sK4))
| ~ spl6_34
| spl6_509 ),
inference(unit_resulting_resolution,[],[f3985,f222]) ).
tff(f4150,plain,
( ~ spl6_530
| ~ spl6_17
| ~ spl6_499 ),
inference(avatar_split_clause,[],[f4138,f3872,f152,f4147]) ).
tff(f152,plain,
( spl6_17
<=> ! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X2,$sum(c,summation(sK1(X0,X1,X2))))
| ~ model_ub(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_17])]) ).
tff(f4138,plain,
( ~ $less(sK0(sK5,sK4,sK3),$sum(c,summation(sK1(sK3,sK5,sK0(sK5,sK4,sK3)))))
| ~ spl6_17
| ~ spl6_499 ),
inference(unit_resulting_resolution,[],[f3873,f153]) ).
tff(f153,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X2,$sum(c,summation(sK1(X0,X1,X2))))
| ~ model_ub(X0,X1,X2) )
| ~ spl6_17 ),
inference(avatar_component_clause,[],[f152]) ).
tff(f4145,plain,
( spl6_529
| ~ spl6_22
| ~ spl6_499 ),
inference(avatar_split_clause,[],[f4139,f3872,f172,f4142]) ).
tff(f172,plain,
( spl6_22
<=> ! [X2: $int,X0: $int,X1: $int] :
( ub(X0,X1,sK1(X0,X1,X2))
| ~ model_ub(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_22])]) ).
tff(f4139,plain,
( ub(sK3,sK5,sK1(sK3,sK5,sK0(sK5,sK4,sK3)))
| ~ spl6_22
| ~ spl6_499 ),
inference(unit_resulting_resolution,[],[f3873,f173]) ).
tff(f173,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( ub(X0,X1,sK1(X0,X1,X2))
| ~ model_ub(X0,X1,X2) )
| ~ spl6_22 ),
inference(avatar_component_clause,[],[f172]) ).
tff(f4132,plain,
( spl6_503
| ~ spl6_26
| ~ spl6_70
| spl6_496 ),
inference(avatar_split_clause,[],[f4129,f3848,f459,f188,f3907]) ).
tff(f4129,plain,
( $less(sK0(sK5,sK4,sK3),$sum(c,summation(sK3)))
| ~ spl6_26
| ~ spl6_70
| spl6_496 ),
inference(forward_demodulation,[],[f4122,f461]) ).
tff(f4122,plain,
( $less(sK0(sK5,sK4,sK3),$sum(c,summation(max(sK3,sK5))))
| ~ spl6_26
| spl6_496 ),
inference(unit_resulting_resolution,[],[f3849,f189]) ).
tff(f3849,plain,
( ~ model_max(sK3,sK5,sK0(sK5,sK4,sK3))
| spl6_496 ),
inference(avatar_component_clause,[],[f3848]) ).
tff(f4131,plain,
( ~ spl6_26
| ~ spl6_70
| spl6_496
| spl6_503 ),
inference(avatar_contradiction_clause,[],[f4130]) ).
tff(f4130,plain,
( $false
| ~ spl6_26
| ~ spl6_70
| spl6_496
| spl6_503 ),
inference(subsumption_resolution,[],[f4129,f3909]) ).
tff(f4128,plain,
( ~ spl6_528
| ~ spl6_14
| spl6_496 ),
inference(avatar_split_clause,[],[f4123,f3848,f140,f4125]) ).
tff(f4123,plain,
( ~ minsol_model_max(sK3,sK5,sK0(sK5,sK4,sK3))
| ~ spl6_14
| spl6_496 ),
inference(unit_resulting_resolution,[],[f3849,f141]) ).
tff(f4120,plain,
( spl6_527
| ~ spl6_22
| ~ spl6_178 ),
inference(avatar_split_clause,[],[f4110,f1309,f172,f4117]) ).
tff(f4117,plain,
( spl6_527
<=> ub(sK5,sK3,sK1(sK5,sK3,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_527])]) ).
tff(f4110,plain,
( ub(sK5,sK3,sK1(sK5,sK3,sK4))
| ~ spl6_22
| ~ spl6_178 ),
inference(unit_resulting_resolution,[],[f1311,f173]) ).
tff(f4115,plain,
( ~ spl6_526
| ~ spl6_17
| ~ spl6_178 ),
inference(avatar_split_clause,[],[f4109,f1309,f152,f4112]) ).
tff(f4112,plain,
( spl6_526
<=> $less(sK4,$sum(c,summation(sK1(sK5,sK3,sK4)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_526])]) ).
tff(f4109,plain,
( ~ $less(sK4,$sum(c,summation(sK1(sK5,sK3,sK4))))
| ~ spl6_17
| ~ spl6_178 ),
inference(unit_resulting_resolution,[],[f1311,f153]) ).
tff(f4108,plain,
( spl6_525
| ~ spl6_1
| ~ spl6_120
| spl6_202 ),
inference(avatar_split_clause,[],[f4090,f1495,f850,f87,f4105]) ).
tff(f850,plain,
( spl6_120
<=> model_ub(sK3,sK5,sK2(sK3,sK5,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_120])]) ).
tff(f1495,plain,
( spl6_202
<=> minsol_model_ub(sK3,sK5,sK2(sK3,sK5,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_202])]) ).
tff(f4090,plain,
( $less(sK2(sK3,sK5,sK2(sK3,sK5,sK4)),sK2(sK3,sK5,sK4))
| ~ spl6_1
| ~ spl6_120
| spl6_202 ),
inference(unit_resulting_resolution,[],[f1497,f852,f88]) ).
tff(f852,plain,
( model_ub(sK3,sK5,sK2(sK3,sK5,sK4))
| ~ spl6_120 ),
inference(avatar_component_clause,[],[f850]) ).
tff(f1497,plain,
( ~ minsol_model_ub(sK3,sK5,sK2(sK3,sK5,sK4))
| spl6_202 ),
inference(avatar_component_clause,[],[f1495]) ).
tff(f4103,plain,
( ~ spl6_524
| ~ spl6_29
| ~ spl6_120
| ~ spl6_203 ),
inference(avatar_split_clause,[],[f4092,f1500,f850,f201,f4100]) ).
tff(f4100,plain,
( spl6_524
<=> minsol_model_ub(sK3,sK5,$sum(c,summation(sK1(sK3,sK5,sK4)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_524])]) ).
tff(f4092,plain,
( ~ minsol_model_ub(sK3,sK5,$sum(c,summation(sK1(sK3,sK5,sK4))))
| ~ spl6_29
| ~ spl6_120
| ~ spl6_203 ),
inference(unit_resulting_resolution,[],[f1502,f852,f202]) ).
tff(f4098,plain,
( spl6_523
| ~ spl6_27
| ~ spl6_120
| spl6_202 ),
inference(avatar_split_clause,[],[f4089,f1495,f850,f192,f4095]) ).
tff(f4095,plain,
( spl6_523
<=> model_ub(sK3,sK5,sK2(sK3,sK5,sK2(sK3,sK5,sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_523])]) ).
tff(f4089,plain,
( model_ub(sK3,sK5,sK2(sK3,sK5,sK2(sK3,sK5,sK4)))
| ~ spl6_27
| ~ spl6_120
| spl6_202 ),
inference(unit_resulting_resolution,[],[f1497,f852,f193]) ).
tff(f4086,plain,
( ~ spl6_522
| ~ spl6_4
| ~ spl6_101
| spl6_497 ),
inference(avatar_split_clause,[],[f4041,f3853,f692,f99,f4083]) ).
tff(f4041,plain,
( ~ $less(sK0(sK5,sK4,sK3),$sum(c,summation(sK5)))
| ~ spl6_4
| ~ spl6_101
| spl6_497 ),
inference(unit_resulting_resolution,[],[f694,f3854,f100]) ).
tff(f3854,plain,
( ~ $less(sK0(sK5,sK4,sK3),sK4)
| spl6_497 ),
inference(avatar_component_clause,[],[f3853]) ).
tff(f4081,plain,
( ~ spl6_521
| ~ spl6_4
| ~ spl6_231
| spl6_497 ),
inference(avatar_split_clause,[],[f4043,f3853,f1736,f99,f4078]) ).
tff(f4078,plain,
( spl6_521
<=> $less(sK0(sK5,sK4,sK3),$sum(c,summation(sK1(sK3,sK3,sK4)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_521])]) ).
tff(f4043,plain,
( ~ $less(sK0(sK5,sK4,sK3),$sum(c,summation(sK1(sK3,sK3,sK4))))
| ~ spl6_4
| ~ spl6_231
| spl6_497 ),
inference(unit_resulting_resolution,[],[f1738,f3854,f100]) ).
tff(f4076,plain,
( spl6_519
| ~ spl6_20
| spl6_497 ),
inference(avatar_split_clause,[],[f4047,f3853,f164,f4067]) ).
tff(f4067,plain,
( spl6_519
<=> ub(sK4,sK4,sK0(sK5,sK4,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_519])]) ).
tff(f4047,plain,
( ub(sK4,sK4,sK0(sK5,sK4,sK3))
| ~ spl6_20
| spl6_497 ),
inference(unit_resulting_resolution,[],[f3854,f3854,f165]) ).
tff(f4075,plain,
( ~ spl6_520
| ~ spl6_4
| ~ spl6_119
| spl6_497 ),
inference(avatar_split_clause,[],[f4044,f3853,f845,f99,f4072]) ).
tff(f4044,plain,
( ~ $less(sK0(sK5,sK4,sK3),sK2(sK3,sK5,sK4))
| ~ spl6_4
| ~ spl6_119
| spl6_497 ),
inference(unit_resulting_resolution,[],[f847,f3854,f100]) ).
tff(f4070,plain,
( spl6_519
| ~ spl6_20
| spl6_497 ),
inference(avatar_split_clause,[],[f4048,f3853,f164,f4067]) ).
tff(f4048,plain,
( ub(sK4,sK4,sK0(sK5,sK4,sK3))
| ~ spl6_20
| spl6_497 ),
inference(unit_resulting_resolution,[],[f3854,f3854,f165]) ).
tff(f4065,plain,
( spl6_518
| ~ spl6_25
| spl6_497 ),
inference(avatar_split_clause,[],[f4049,f3853,f184,f4062]) ).
tff(f4049,plain,
( ( sK0(sK5,sK4,sK3) = max(sK4,sK0(sK5,sK4,sK3)) )
| ~ spl6_25
| spl6_497 ),
inference(unit_resulting_resolution,[],[f3854,f185]) ).
tff(f4060,plain,
( ~ spl6_517
| ~ spl6_4
| ~ spl6_236
| spl6_497 ),
inference(avatar_split_clause,[],[f4045,f3853,f1805,f99,f4057]) ).
tff(f1805,plain,
( spl6_236
<=> $less(sK2(sK3,sK3,sK4),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_236])]) ).
tff(f4045,plain,
( ~ $less(sK0(sK5,sK4,sK3),sK2(sK3,sK3,sK4))
| ~ spl6_4
| ~ spl6_236
| spl6_497 ),
inference(unit_resulting_resolution,[],[f1807,f3854,f100]) ).
tff(f1807,plain,
( $less(sK2(sK3,sK3,sK4),sK4)
| ~ spl6_236 ),
inference(avatar_component_clause,[],[f1805]) ).
tff(f4055,plain,
( spl6_516
| ~ spl6_28
| spl6_497 ),
inference(avatar_split_clause,[],[f4050,f3853,f196,f4052]) ).
tff(f4050,plain,
( ( sK0(sK5,sK4,sK3) = max(sK0(sK5,sK4,sK3),sK4) )
| ~ spl6_28
| spl6_497 ),
inference(unit_resulting_resolution,[],[f3854,f197]) ).
tff(f4039,plain,
( ~ spl6_515
| ~ spl6_5
| ~ spl6_8
| ~ spl6_236 ),
inference(avatar_split_clause,[],[f4026,f1805,f115,f103,f4036]) ).
tff(f4036,plain,
( spl6_515
<=> model_max(sK3,sK5,sK2(sK3,sK3,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_515])]) ).
tff(f4026,plain,
( ~ model_max(sK3,sK5,sK2(sK3,sK3,sK4))
| ~ spl6_5
| ~ spl6_8
| ~ spl6_236 ),
inference(unit_resulting_resolution,[],[f1807,f117,f104]) ).
tff(f4034,plain,
( ~ spl6_514
| ~ spl6_5
| ~ spl6_8
| ~ spl6_231 ),
inference(avatar_split_clause,[],[f4024,f1736,f115,f103,f4031]) ).
tff(f4031,plain,
( spl6_514
<=> model_max(sK3,sK5,$sum(c,summation(sK1(sK3,sK3,sK4)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_514])]) ).
tff(f4024,plain,
( ~ model_max(sK3,sK5,$sum(c,summation(sK1(sK3,sK3,sK4))))
| ~ spl6_5
| ~ spl6_8
| ~ spl6_231 ),
inference(unit_resulting_resolution,[],[f1738,f117,f104]) ).
tff(f4019,plain,
( ~ spl6_13
| ~ spl6_117
| spl6_499
| spl6_503 ),
inference(avatar_contradiction_clause,[],[f4018]) ).
tff(f4018,plain,
( $false
| ~ spl6_13
| ~ spl6_117
| spl6_499
| spl6_503 ),
inference(subsumption_resolution,[],[f4014,f3909]) ).
tff(f4014,plain,
( $less(sK0(sK5,sK4,sK3),$sum(c,summation(sK3)))
| ~ spl6_13
| ~ spl6_117
| spl6_499 ),
inference(unit_resulting_resolution,[],[f3874,f823,f137]) ).
tff(f4011,plain,
( ~ spl6_513
| ~ spl6_34
| spl6_499 ),
inference(avatar_split_clause,[],[f4001,f3872,f221,f4008]) ).
tff(f4001,plain,
( ~ minsol_model_ub(sK3,sK5,sK0(sK5,sK4,sK3))
| ~ spl6_34
| spl6_499 ),
inference(unit_resulting_resolution,[],[f3874,f222]) ).
tff(f4006,plain,
( spl6_512
| ~ spl6_13
| ~ spl6_53
| spl6_499 ),
inference(avatar_split_clause,[],[f4000,f3872,f341,f136,f4003]) ).
tff(f341,plain,
( spl6_53
<=> ub(sK3,sK5,sK1(sK3,sK5,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_53])]) ).
tff(f4000,plain,
( $less(sK0(sK5,sK4,sK3),$sum(c,summation(sK1(sK3,sK5,sK4))))
| ~ spl6_13
| ~ spl6_53
| spl6_499 ),
inference(unit_resulting_resolution,[],[f343,f3874,f137]) ).
tff(f343,plain,
( ub(sK3,sK5,sK1(sK3,sK5,sK4))
| ~ spl6_53 ),
inference(avatar_component_clause,[],[f341]) ).
tff(f3996,plain,
( ~ spl6_511
| ~ spl6_29
| ~ spl6_101
| ~ spl6_229 ),
inference(avatar_split_clause,[],[f3973,f1724,f692,f201,f3993]) ).
tff(f3993,plain,
( spl6_511
<=> model_ub(sK3,sK3,$sum(c,summation(sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_511])]) ).
tff(f3973,plain,
( ~ model_ub(sK3,sK3,$sum(c,summation(sK5)))
| ~ spl6_29
| ~ spl6_101
| ~ spl6_229 ),
inference(unit_resulting_resolution,[],[f694,f1726,f202]) ).
tff(f3991,plain,
( ~ spl6_510
| ~ spl6_29
| ~ spl6_229
| ~ spl6_497 ),
inference(avatar_split_clause,[],[f3976,f3853,f1724,f201,f3988]) ).
tff(f3976,plain,
( ~ model_ub(sK3,sK3,sK0(sK5,sK4,sK3))
| ~ spl6_29
| ~ spl6_229
| ~ spl6_497 ),
inference(unit_resulting_resolution,[],[f3855,f1726,f202]) ).
tff(f3986,plain,
( ~ spl6_509
| ~ spl6_29
| ~ spl6_119
| ~ spl6_229 ),
inference(avatar_split_clause,[],[f3977,f1724,f845,f201,f3983]) ).
tff(f3977,plain,
( ~ model_ub(sK3,sK3,sK2(sK3,sK5,sK4))
| ~ spl6_29
| ~ spl6_119
| ~ spl6_229 ),
inference(unit_resulting_resolution,[],[f847,f1726,f202]) ).
tff(f3972,plain,
( ~ spl6_17
| ~ spl6_234
| ~ spl6_235 ),
inference(avatar_contradiction_clause,[],[f3971]) ).
tff(f3971,plain,
( $false
| ~ spl6_17
| ~ spl6_234
| ~ spl6_235 ),
inference(subsumption_resolution,[],[f3966,f1801]) ).
tff(f1801,plain,
( $less(sK2(sK3,sK3,sK4),$sum(c,summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4)))))
| ~ spl6_235 ),
inference(avatar_component_clause,[],[f1800]) ).
tff(f1800,plain,
( spl6_235
<=> $less(sK2(sK3,sK3,sK4),$sum(c,summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_235])]) ).
tff(f3966,plain,
( ~ $less(sK2(sK3,sK3,sK4),$sum(c,summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4)))))
| ~ spl6_17
| ~ spl6_234 ),
inference(unit_resulting_resolution,[],[f1764,f153]) ).
tff(f1764,plain,
( model_ub(sK3,sK3,sK2(sK3,sK3,sK4))
| ~ spl6_234 ),
inference(avatar_component_clause,[],[f1763]) ).
tff(f1763,plain,
( spl6_234
<=> model_ub(sK3,sK3,sK2(sK3,sK3,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_234])]) ).
tff(f3970,plain,
( ~ spl6_22
| ~ spl6_234
| spl6_241 ),
inference(avatar_contradiction_clause,[],[f3969]) ).
tff(f3969,plain,
( $false
| ~ spl6_22
| ~ spl6_234
| spl6_241 ),
inference(subsumption_resolution,[],[f3967,f1831]) ).
tff(f1831,plain,
( ~ ub(sK3,sK3,sK1(sK3,sK3,sK2(sK3,sK3,sK4)))
| spl6_241 ),
inference(avatar_component_clause,[],[f1829]) ).
tff(f1829,plain,
( spl6_241
<=> ub(sK3,sK3,sK1(sK3,sK3,sK2(sK3,sK3,sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_241])]) ).
tff(f3967,plain,
( ub(sK3,sK3,sK1(sK3,sK3,sK2(sK3,sK3,sK4)))
| ~ spl6_22
| ~ spl6_234 ),
inference(unit_resulting_resolution,[],[f1764,f173]) ).
tff(f3965,plain,
( spl6_508
| ~ spl6_26
| spl6_232 ),
inference(avatar_split_clause,[],[f3959,f1744,f188,f3962]) ).
tff(f3962,plain,
( spl6_508
<=> $less(sK4,$sum(c,summation(max(sK3,sK3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_508])]) ).
tff(f3959,plain,
( $less(sK4,$sum(c,summation(max(sK3,sK3))))
| ~ spl6_26
| spl6_232 ),
inference(unit_resulting_resolution,[],[f1745,f189]) ).
tff(f1745,plain,
( ~ model_max(sK3,sK3,sK4)
| spl6_232 ),
inference(avatar_component_clause,[],[f1744]) ).
tff(f3958,plain,
( spl6_507
| ~ spl6_20
| spl6_54
| spl6_285 ),
inference(avatar_split_clause,[],[f3930,f2304,f346,f164,f3955]) ).
tff(f3955,plain,
( spl6_507
<=> ub(sK2(sK3,sK3,sK4),$sum(c,summation(sK1(sK3,sK5,sK4))),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_507])]) ).
tff(f3930,plain,
( ub(sK2(sK3,sK3,sK4),$sum(c,summation(sK1(sK3,sK5,sK4))),sK4)
| ~ spl6_20
| spl6_54
| spl6_285 ),
inference(unit_resulting_resolution,[],[f2306,f348,f165]) ).
tff(f3952,plain,
( spl6_506
| ~ spl6_20
| spl6_54
| spl6_155
| ~ spl6_412 ),
inference(avatar_split_clause,[],[f3947,f3360,f1150,f346,f164,f3949]) ).
tff(f3949,plain,
( spl6_506
<=> ub(sK2(sK3,sK5,sK4),$sum(c,summation(sK1(sK3,sK5,sK4))),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_506])]) ).
tff(f3947,plain,
( ub(sK2(sK3,sK5,sK4),$sum(c,summation(sK1(sK3,sK5,sK4))),sK4)
| ~ spl6_20
| spl6_54
| spl6_155
| ~ spl6_412 ),
inference(forward_demodulation,[],[f3926,f3362]) ).
tff(f3926,plain,
( ub($sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))),$sum(c,summation(sK1(sK3,sK5,sK4))),sK4)
| ~ spl6_20
| spl6_54
| spl6_155 ),
inference(unit_resulting_resolution,[],[f1152,f348,f165]) ).
tff(f3945,plain,
( spl6_505
| ~ spl6_20
| spl6_54
| spl6_155
| ~ spl6_412 ),
inference(avatar_split_clause,[],[f3940,f3360,f1150,f346,f164,f3942]) ).
tff(f3942,plain,
( spl6_505
<=> ub($sum(c,summation(sK1(sK3,sK5,sK4))),sK2(sK3,sK5,sK4),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_505])]) ).
tff(f3940,plain,
( ub($sum(c,summation(sK1(sK3,sK5,sK4))),sK2(sK3,sK5,sK4),sK4)
| ~ spl6_20
| spl6_54
| spl6_155
| ~ spl6_412 ),
inference(forward_demodulation,[],[f3920,f3362]) ).
tff(f3920,plain,
( ub($sum(c,summation(sK1(sK3,sK5,sK4))),$sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))),sK4)
| ~ spl6_20
| spl6_54
| spl6_155 ),
inference(unit_resulting_resolution,[],[f1152,f348,f165]) ).
tff(f3939,plain,
( spl6_504
| ~ spl6_20
| spl6_54
| spl6_285 ),
inference(avatar_split_clause,[],[f3924,f2304,f346,f164,f3936]) ).
tff(f3936,plain,
( spl6_504
<=> ub($sum(c,summation(sK1(sK3,sK5,sK4))),sK2(sK3,sK3,sK4),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_504])]) ).
tff(f3924,plain,
( ub($sum(c,summation(sK1(sK3,sK5,sK4))),sK2(sK3,sK3,sK4),sK4)
| ~ spl6_20
| spl6_54
| spl6_285 ),
inference(unit_resulting_resolution,[],[f2306,f348,f165]) ).
tff(f3912,plain,
( ~ spl6_503
| ~ spl6_23
| ~ spl6_70
| ~ spl6_496 ),
inference(avatar_split_clause,[],[f3911,f3848,f459,f176,f3907]) ).
tff(f3911,plain,
( ~ $less(sK0(sK5,sK4,sK3),$sum(c,summation(sK3)))
| ~ spl6_23
| ~ spl6_70
| ~ spl6_496 ),
inference(forward_demodulation,[],[f3904,f461]) ).
tff(f3904,plain,
( ~ $less(sK0(sK5,sK4,sK3),$sum(c,summation(max(sK3,sK5))))
| ~ spl6_23
| ~ spl6_496 ),
inference(unit_resulting_resolution,[],[f3850,f177]) ).
tff(f3910,plain,
( ~ spl6_503
| ~ spl6_42
| spl6_44
| ~ spl6_496 ),
inference(avatar_split_clause,[],[f3903,f3848,f285,f277,f3907]) ).
tff(f3903,plain,
( ~ $less(sK0(sK5,sK4,sK3),$sum(c,summation(sK3)))
| ~ spl6_42
| spl6_44
| ~ spl6_496 ),
inference(unit_resulting_resolution,[],[f286,f3850,f278]) ).
tff(f286,plain,
( ~ $less(sK3,sK5)
| spl6_44 ),
inference(avatar_component_clause,[],[f285]) ).
tff(f3900,plain,
( ~ spl6_502
| ~ spl6_41
| spl6_44
| ~ spl6_132 ),
inference(avatar_split_clause,[],[f3893,f974,f285,f268,f3897]) ).
tff(f3897,plain,
( spl6_502
<=> model_max(sK5,sK3,sK2(sK3,sK5,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_502])]) ).
tff(f3893,plain,
( ~ model_max(sK5,sK3,sK2(sK3,sK5,sK4))
| ~ spl6_41
| spl6_44
| ~ spl6_132 ),
inference(unit_resulting_resolution,[],[f976,f286,f269]) ).
tff(f3883,plain,
( spl6_501
| ~ spl6_9
| ~ spl6_497 ),
inference(avatar_split_clause,[],[f3862,f3853,f120,f3881]) ).
tff(f3881,plain,
( spl6_501
<=> ! [X0: $int] : ~ ub(X0,sK4,sK0(sK5,sK4,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_501])]) ).
tff(f3862,plain,
( ! [X0: $int] : ~ ub(X0,sK4,sK0(sK5,sK4,sK3))
| ~ spl6_9
| ~ spl6_497 ),
inference(unit_resulting_resolution,[],[f3855,f121]) ).
tff(f3879,plain,
( spl6_500
| ~ spl6_30
| ~ spl6_497 ),
inference(avatar_split_clause,[],[f3865,f3853,f205,f3877]) ).
tff(f3877,plain,
( spl6_500
<=> ! [X0: $int] : ~ ub(sK4,X0,sK0(sK5,sK4,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_500])]) ).
tff(f3865,plain,
( ! [X0: $int] : ~ ub(sK4,X0,sK0(sK5,sK4,sK3))
| ~ spl6_30
| ~ spl6_497 ),
inference(unit_resulting_resolution,[],[f3855,f206]) ).
tff(f3875,plain,
( ~ spl6_499
| ~ spl6_7
| ~ spl6_29
| ~ spl6_497 ),
inference(avatar_split_clause,[],[f3864,f3853,f201,f111,f3872]) ).
tff(f3864,plain,
( ~ model_ub(sK3,sK5,sK0(sK5,sK4,sK3))
| ~ spl6_7
| ~ spl6_29
| ~ spl6_497 ),
inference(unit_resulting_resolution,[],[f113,f3855,f202]) ).
tff(f3870,plain,
( spl6_498
| ~ spl6_11
| ~ spl6_497 ),
inference(avatar_split_clause,[],[f3863,f3853,f128,f3867]) ).
tff(f3863,plain,
( $less(summation(sK0(sK5,sK4,sK3)),summation(sK4))
| ~ spl6_11
| ~ spl6_497 ),
inference(unit_resulting_resolution,[],[f3855,f129]) ).
tff(f3856,plain,
( spl6_497
| spl6_8
| ~ spl6_15
| ~ spl6_35 ),
inference(avatar_split_clause,[],[f3846,f231,f144,f115,f3853]) ).
tff(f231,plain,
( spl6_35
<=> model_max(sK3,sK5,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_35])]) ).
tff(f3846,plain,
( $less(sK0(sK5,sK4,sK3),sK4)
| spl6_8
| ~ spl6_15
| ~ spl6_35 ),
inference(unit_resulting_resolution,[],[f116,f233,f145]) ).
tff(f233,plain,
( model_max(sK3,sK5,sK4)
| ~ spl6_35 ),
inference(avatar_component_clause,[],[f231]) ).
tff(f116,plain,
( ~ minsol_model_max(sK3,sK5,sK4)
| spl6_8 ),
inference(avatar_component_clause,[],[f115]) ).
tff(f3851,plain,
( spl6_496
| ~ spl6_2
| spl6_8
| ~ spl6_35 ),
inference(avatar_split_clause,[],[f3845,f231,f115,f91,f3848]) ).
tff(f3845,plain,
( model_max(sK3,sK5,sK0(sK5,sK4,sK3))
| ~ spl6_2
| spl6_8
| ~ spl6_35 ),
inference(unit_resulting_resolution,[],[f116,f233,f92]) ).
tff(f3841,plain,
( ~ spl6_495
| ~ spl6_7
| ~ spl6_29
| ~ spl6_101 ),
inference(avatar_split_clause,[],[f3816,f692,f201,f111,f3838]) ).
tff(f3816,plain,
( ~ model_ub(sK3,sK5,$sum(c,summation(sK5)))
| ~ spl6_7
| ~ spl6_29
| ~ spl6_101 ),
inference(unit_resulting_resolution,[],[f694,f113,f202]) ).
tff(f3836,plain,
( ~ spl6_494
| ~ spl6_7
| ~ spl6_29
| ~ spl6_236 ),
inference(avatar_split_clause,[],[f3820,f1805,f201,f111,f3833]) ).
tff(f3833,plain,
( spl6_494
<=> model_ub(sK3,sK5,sK2(sK3,sK3,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_494])]) ).
tff(f3820,plain,
( ~ model_ub(sK3,sK5,sK2(sK3,sK3,sK4))
| ~ spl6_7
| ~ spl6_29
| ~ spl6_236 ),
inference(unit_resulting_resolution,[],[f1807,f113,f202]) ).
tff(f3831,plain,
( ~ spl6_493
| ~ spl6_7
| ~ spl6_29
| ~ spl6_231 ),
inference(avatar_split_clause,[],[f3818,f1736,f201,f111,f3828]) ).
tff(f3828,plain,
( spl6_493
<=> model_ub(sK3,sK5,$sum(c,summation(sK1(sK3,sK3,sK4)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_493])]) ).
tff(f3818,plain,
( ~ model_ub(sK3,sK5,$sum(c,summation(sK1(sK3,sK3,sK4))))
| ~ spl6_7
| ~ spl6_29
| ~ spl6_231 ),
inference(unit_resulting_resolution,[],[f1738,f113,f202]) ).
tff(f3826,plain,
( ~ spl6_492
| ~ spl6_7
| ~ spl6_29
| ~ spl6_149 ),
inference(avatar_split_clause,[],[f3817,f1095,f201,f111,f3823]) ).
tff(f3823,plain,
( spl6_492
<=> model_ub(sK3,sK5,$sum(c,summation(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_492])]) ).
tff(f3817,plain,
( ~ model_ub(sK3,sK5,$sum(c,summation(sK3)))
| ~ spl6_7
| ~ spl6_29
| ~ spl6_149 ),
inference(unit_resulting_resolution,[],[f1097,f113,f202]) ).
tff(f3815,plain,
( ~ spl6_491
| ~ spl6_412
| spl6_481 ),
inference(avatar_split_clause,[],[f3810,f3740,f3360,f3812]) ).
tff(f3812,plain,
( spl6_491
<=> $less(summation($sum(c,summation(sK1(sK3,sK5,sK4)))),summation(sK2(sK3,sK5,sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_491])]) ).
tff(f3740,plain,
( spl6_481
<=> $less(summation($sum(c,summation(sK1(sK3,sK5,sK4)))),summation($sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_481])]) ).
tff(f3810,plain,
( ~ $less(summation($sum(c,summation(sK1(sK3,sK5,sK4)))),summation(sK2(sK3,sK5,sK4)))
| ~ spl6_412
| spl6_481 ),
inference(forward_demodulation,[],[f3742,f3362]) ).
tff(f3742,plain,
( ~ $less(summation($sum(c,summation(sK1(sK3,sK5,sK4)))),summation($sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4))))))
| spl6_481 ),
inference(avatar_component_clause,[],[f3740]) ).
tff(f3808,plain,
( spl6_488
| ~ spl6_412
| ~ spl6_450 ),
inference(avatar_split_clause,[],[f3807,f3572,f3360,f3786]) ).
tff(f3786,plain,
( spl6_488
<=> ( summation(sK2(sK3,sK5,sK4)) = max(summation(sK2(sK3,sK5,sK4)),summation(sK2(sK3,sK5,sK4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_488])]) ).
tff(f3572,plain,
( spl6_450
<=> ( summation(sK2(sK3,sK5,sK4)) = max(summation(sK2(sK3,sK5,sK4)),summation($sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_450])]) ).
tff(f3807,plain,
( ( summation(sK2(sK3,sK5,sK4)) = max(summation(sK2(sK3,sK5,sK4)),summation(sK2(sK3,sK5,sK4))) )
| ~ spl6_412
| ~ spl6_450 ),
inference(forward_demodulation,[],[f3574,f3362]) ).
tff(f3574,plain,
( ( summation(sK2(sK3,sK5,sK4)) = max(summation(sK2(sK3,sK5,sK4)),summation($sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))))) )
| ~ spl6_450 ),
inference(avatar_component_clause,[],[f3572]) ).
tff(f3806,plain,
( spl6_490
| ~ spl6_412
| ~ spl6_480 ),
inference(avatar_split_clause,[],[f3801,f3735,f3360,f3803]) ).
tff(f3803,plain,
( spl6_490
<=> ub(sK2(sK3,sK5,sK4),sK2(sK3,sK3,sK4),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_490])]) ).
tff(f3735,plain,
( spl6_480
<=> ub($sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))),sK2(sK3,sK3,sK4),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_480])]) ).
tff(f3801,plain,
( ub(sK2(sK3,sK5,sK4),sK2(sK3,sK3,sK4),sK4)
| ~ spl6_412
| ~ spl6_480 ),
inference(forward_demodulation,[],[f3737,f3362]) ).
tff(f3737,plain,
( ub($sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))),sK2(sK3,sK3,sK4),sK4)
| ~ spl6_480 ),
inference(avatar_component_clause,[],[f3735]) ).
tff(f3798,plain,
( spl6_487
| ~ spl6_412
| ~ spl6_425 ),
inference(avatar_split_clause,[],[f3797,f3424,f3360,f3781]) ).
tff(f3781,plain,
( spl6_487
<=> ! [X0: $int] :
( ~ model_max(sK2(sK3,sK5,sK4),sK2(sK3,sK5,sK4),X0)
| ~ $less(X0,$sum(c,summation(sK2(sK3,sK5,sK4)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_487])]) ).
tff(f3424,plain,
( spl6_425
<=> ! [X0: $int] :
( ~ model_max($sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))),sK2(sK3,sK5,sK4),X0)
| ~ $less(X0,$sum(c,summation(sK2(sK3,sK5,sK4)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_425])]) ).
tff(f3797,plain,
( ! [X0: $int] :
( ~ model_max(sK2(sK3,sK5,sK4),sK2(sK3,sK5,sK4),X0)
| ~ $less(X0,$sum(c,summation(sK2(sK3,sK5,sK4)))) )
| ~ spl6_412
| ~ spl6_425 ),
inference(forward_demodulation,[],[f3425,f3362]) ).
tff(f3425,plain,
( ! [X0: $int] :
( ~ $less(X0,$sum(c,summation(sK2(sK3,sK5,sK4))))
| ~ model_max($sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))),sK2(sK3,sK5,sK4),X0) )
| ~ spl6_425 ),
inference(avatar_component_clause,[],[f3424]) ).
tff(f3795,plain,
( spl6_489
| ~ spl6_412
| ~ spl6_435 ),
inference(avatar_split_clause,[],[f3790,f3480,f3360,f3792]) ).
tff(f3792,plain,
( spl6_489
<=> ub(sK2(sK3,sK5,sK4),sK2(sK3,sK5,sK4),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_489])]) ).
tff(f3480,plain,
( spl6_435
<=> ub($sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))),$sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_435])]) ).
tff(f3790,plain,
( ub(sK2(sK3,sK5,sK4),sK2(sK3,sK5,sK4),sK4)
| ~ spl6_412
| ~ spl6_435 ),
inference(forward_demodulation,[],[f3482,f3362]) ).
tff(f3482,plain,
( ub($sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))),$sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))),sK4)
| ~ spl6_435 ),
inference(avatar_component_clause,[],[f3480]) ).
tff(f3789,plain,
( spl6_488
| ~ spl6_412
| ~ spl6_439 ),
inference(avatar_split_clause,[],[f3784,f3503,f3360,f3786]) ).
tff(f3503,plain,
( spl6_439
<=> ( max(summation($sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4))))),summation(sK2(sK3,sK5,sK4))) = summation(sK2(sK3,sK5,sK4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_439])]) ).
tff(f3784,plain,
( ( summation(sK2(sK3,sK5,sK4)) = max(summation(sK2(sK3,sK5,sK4)),summation(sK2(sK3,sK5,sK4))) )
| ~ spl6_412
| ~ spl6_439 ),
inference(forward_demodulation,[],[f3505,f3362]) ).
tff(f3505,plain,
( ( max(summation($sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4))))),summation(sK2(sK3,sK5,sK4))) = summation(sK2(sK3,sK5,sK4)) )
| ~ spl6_439 ),
inference(avatar_component_clause,[],[f3503]) ).
tff(f3783,plain,
( spl6_487
| ~ spl6_412
| ~ spl6_465 ),
inference(avatar_split_clause,[],[f3779,f3656,f3360,f3781]) ).
tff(f3656,plain,
( spl6_465
<=> ! [X0: $int] :
( ~ model_max(sK2(sK3,sK5,sK4),$sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))),X0)
| ~ $less(X0,$sum(c,summation(sK2(sK3,sK5,sK4)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_465])]) ).
tff(f3779,plain,
( ! [X0: $int] :
( ~ model_max(sK2(sK3,sK5,sK4),sK2(sK3,sK5,sK4),X0)
| ~ $less(X0,$sum(c,summation(sK2(sK3,sK5,sK4)))) )
| ~ spl6_412
| ~ spl6_465 ),
inference(forward_demodulation,[],[f3657,f3362]) ).
tff(f3657,plain,
( ! [X0: $int] :
( ~ $less(X0,$sum(c,summation(sK2(sK3,sK5,sK4))))
| ~ model_max(sK2(sK3,sK5,sK4),$sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))),X0) )
| ~ spl6_465 ),
inference(avatar_component_clause,[],[f3656]) ).
tff(f3776,plain,
( spl6_486
| ~ spl6_412
| ~ spl6_417 ),
inference(avatar_split_clause,[],[f3771,f3385,f3360,f3773]) ).
tff(f3773,plain,
( spl6_486
<=> ub(sK2(sK3,sK3,sK4),sK2(sK3,sK5,sK4),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_486])]) ).
tff(f3385,plain,
( spl6_417
<=> ub(sK2(sK3,sK3,sK4),$sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_417])]) ).
tff(f3771,plain,
( ub(sK2(sK3,sK3,sK4),sK2(sK3,sK5,sK4),sK4)
| ~ spl6_412
| ~ spl6_417 ),
inference(forward_demodulation,[],[f3387,f3362]) ).
tff(f3387,plain,
( ub(sK2(sK3,sK3,sK4),$sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))),sK4)
| ~ spl6_417 ),
inference(avatar_component_clause,[],[f3385]) ).
tff(f3770,plain,
( spl6_485
| ~ spl6_412
| ~ spl6_454 ),
inference(avatar_split_clause,[],[f3765,f3591,f3360,f3767]) ).
tff(f3767,plain,
( spl6_485
<=> ub($sum(c,summation(sK5)),sK2(sK3,sK5,sK4),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_485])]) ).
tff(f3591,plain,
( spl6_454
<=> ub($sum(c,summation(sK5)),$sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_454])]) ).
tff(f3765,plain,
( ub($sum(c,summation(sK5)),sK2(sK3,sK5,sK4),sK4)
| ~ spl6_412
| ~ spl6_454 ),
inference(forward_demodulation,[],[f3593,f3362]) ).
tff(f3593,plain,
( ub($sum(c,summation(sK5)),$sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))),sK4)
| ~ spl6_454 ),
inference(avatar_component_clause,[],[f3591]) ).
tff(f3764,plain,
( spl6_484
| ~ spl6_412
| ~ spl6_449 ),
inference(avatar_split_clause,[],[f3759,f3567,f3360,f3761]) ).
tff(f3761,plain,
( spl6_484
<=> ( sK4 = max(sK2(sK3,sK5,sK4),sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_484])]) ).
tff(f3567,plain,
( spl6_449
<=> ( max($sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))),sK4) = sK4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_449])]) ).
tff(f3759,plain,
( ( sK4 = max(sK2(sK3,sK5,sK4),sK4) )
| ~ spl6_412
| ~ spl6_449 ),
inference(forward_demodulation,[],[f3569,f3362]) ).
tff(f3569,plain,
( ( max($sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))),sK4) = sK4 )
| ~ spl6_449 ),
inference(avatar_component_clause,[],[f3567]) ).
tff(f3758,plain,
( ~ spl6_11
| ~ spl6_203
| spl6_213 ),
inference(avatar_contradiction_clause,[],[f3757]) ).
tff(f3757,plain,
( $false
| ~ spl6_11
| ~ spl6_203
| spl6_213 ),
inference(subsumption_resolution,[],[f1632,f1613]) ).
tff(f1613,plain,
( ~ $less(summation(sK2(sK3,sK5,sK4)),summation($sum(c,summation(sK1(sK3,sK5,sK4)))))
| spl6_213 ),
inference(avatar_component_clause,[],[f1612]) ).
tff(f1612,plain,
( spl6_213
<=> $less(summation(sK2(sK3,sK5,sK4)),summation($sum(c,summation(sK1(sK3,sK5,sK4))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_213])]) ).
tff(f1632,plain,
( $less(summation(sK2(sK3,sK5,sK4)),summation($sum(c,summation(sK1(sK3,sK5,sK4)))))
| ~ spl6_11
| ~ spl6_203 ),
inference(unit_resulting_resolution,[],[f1502,f129]) ).
tff(f3756,plain,
( spl6_310
| ~ spl6_20
| spl6_140 ),
inference(avatar_split_clause,[],[f2609,f1030,f164,f2529]) ).
tff(f2529,plain,
( spl6_310
<=> ub(summation(summation($sum(c,summation(sK3)))),summation(summation($sum(c,summation(sK3)))),summation(summation(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_310])]) ).
tff(f1030,plain,
( spl6_140
<=> $less(summation(summation(sK4)),summation(summation($sum(c,summation(sK3))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_140])]) ).
tff(f2609,plain,
( ub(summation(summation($sum(c,summation(sK3)))),summation(summation($sum(c,summation(sK3)))),summation(summation(sK4)))
| ~ spl6_20
| spl6_140 ),
inference(unit_resulting_resolution,[],[f1032,f1032,f165]) ).
tff(f1032,plain,
( ~ $less(summation(summation(sK4)),summation(summation($sum(c,summation(sK3)))))
| spl6_140 ),
inference(avatar_component_clause,[],[f1030]) ).
tff(f3753,plain,
( spl6_311
| ~ spl6_28
| spl6_140 ),
inference(avatar_split_clause,[],[f2613,f1030,f196,f2535]) ).
tff(f2535,plain,
( spl6_311
<=> ( max(summation(summation(sK4)),summation(summation($sum(c,summation(sK3))))) = summation(summation(sK4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_311])]) ).
tff(f2613,plain,
( ( max(summation(summation(sK4)),summation(summation($sum(c,summation(sK3))))) = summation(summation(sK4)) )
| ~ spl6_28
| spl6_140 ),
inference(unit_resulting_resolution,[],[f1032,f197]) ).
tff(f3752,plain,
( spl6_483
| ~ spl6_25
| spl6_221 ),
inference(avatar_split_clause,[],[f3002,f1659,f184,f3749]) ).
tff(f3749,plain,
( spl6_483
<=> ( max(summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4))),summation(sK1(sK3,sK5,sK4))) = summation(sK1(sK3,sK5,sK4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_483])]) ).
tff(f1659,plain,
( spl6_221
<=> $less(summation(sK1(sK3,sK5,sK4)),summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_221])]) ).
tff(f3002,plain,
( ( max(summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4))),summation(sK1(sK3,sK5,sK4))) = summation(sK1(sK3,sK5,sK4)) )
| ~ spl6_25
| spl6_221 ),
inference(unit_resulting_resolution,[],[f1661,f185]) ).
tff(f1661,plain,
( ~ $less(summation(sK1(sK3,sK5,sK4)),summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4))))
| spl6_221 ),
inference(avatar_component_clause,[],[f1659]) ).
tff(f3747,plain,
( spl6_482
| ~ spl6_9
| ~ spl6_200 ),
inference(avatar_split_clause,[],[f2462,f1449,f120,f3745]) ).
tff(f3745,plain,
( spl6_482
<=> ! [X0: $int] : ~ ub(X0,$sum(c,summation(sK5)),sK2(sK3,sK5,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_482])]) ).
tff(f2462,plain,
( ! [X0: $int] : ~ ub(X0,$sum(c,summation(sK5)),sK2(sK3,sK5,sK4))
| ~ spl6_9
| ~ spl6_200 ),
inference(unit_resulting_resolution,[],[f1451,f121]) ).
tff(f3743,plain,
( ~ spl6_481
| ~ spl6_4
| spl6_158
| ~ spl6_213 ),
inference(avatar_split_clause,[],[f3078,f1612,f1166,f99,f3740]) ).
tff(f3078,plain,
( ~ $less(summation($sum(c,summation(sK1(sK3,sK5,sK4)))),summation($sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4))))))
| ~ spl6_4
| spl6_158
| ~ spl6_213 ),
inference(unit_resulting_resolution,[],[f1614,f1168,f100]) ).
tff(f1614,plain,
( $less(summation(sK2(sK3,sK5,sK4)),summation($sum(c,summation(sK1(sK3,sK5,sK4)))))
| ~ spl6_213 ),
inference(avatar_component_clause,[],[f1612]) ).
tff(f3738,plain,
( spl6_480
| ~ spl6_20
| spl6_155
| spl6_285 ),
inference(avatar_split_clause,[],[f2748,f2304,f1150,f164,f3735]) ).
tff(f2748,plain,
( ub($sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))),sK2(sK3,sK3,sK4),sK4)
| ~ spl6_20
| spl6_155
| spl6_285 ),
inference(unit_resulting_resolution,[],[f2306,f1152,f165]) ).
tff(f3733,plain,
( spl6_479
| ~ spl6_11
| ~ spl6_213 ),
inference(avatar_split_clause,[],[f2969,f1612,f128,f3730]) ).
tff(f3730,plain,
( spl6_479
<=> $less(summation(summation(sK2(sK3,sK5,sK4))),summation(summation($sum(c,summation(sK1(sK3,sK5,sK4)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_479])]) ).
tff(f2969,plain,
( $less(summation(summation(sK2(sK3,sK5,sK4))),summation(summation($sum(c,summation(sK1(sK3,sK5,sK4))))))
| ~ spl6_11
| ~ spl6_213 ),
inference(unit_resulting_resolution,[],[f1614,f129]) ).
tff(f3727,plain,
( spl6_478
| ~ spl6_23
| ~ spl6_78 ),
inference(avatar_split_clause,[],[f2659,f514,f176,f3725]) ).
tff(f3725,plain,
( spl6_478
<=> ! [X0: $int] :
( ~ $less(X0,$sum(c,summation(sK1(sK3,sK5,sK4))))
| ~ model_max(sK1(sK3,sK5,sK4),sK3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_478])]) ).
tff(f2659,plain,
( ! [X0: $int] :
( ~ $less(X0,$sum(c,summation(sK1(sK3,sK5,sK4))))
| ~ model_max(sK1(sK3,sK5,sK4),sK3,X0) )
| ~ spl6_23
| ~ spl6_78 ),
inference(superposition,[],[f177,f516]) ).
tff(f3723,plain,
( spl6_476
| ~ spl6_20
| spl6_158 ),
inference(avatar_split_clause,[],[f3080,f1166,f164,f3714]) ).
tff(f3714,plain,
( spl6_476
<=> ub(summation($sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4))))),summation($sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4))))),summation(sK2(sK3,sK5,sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_476])]) ).
tff(f3080,plain,
( ub(summation($sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4))))),summation($sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4))))),summation(sK2(sK3,sK5,sK4)))
| ~ spl6_20
| spl6_158 ),
inference(unit_resulting_resolution,[],[f1168,f1168,f165]) ).
tff(f3722,plain,
( spl6_416
| ~ spl6_20
| spl6_77 ),
inference(avatar_split_clause,[],[f2138,f509,f164,f3379]) ).
tff(f3379,plain,
( spl6_416
<=> ub(summation(sK3),summation(sK3),summation(sK1(sK3,sK5,sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_416])]) ).
tff(f509,plain,
( spl6_77
<=> $less(summation(sK1(sK3,sK5,sK4)),summation(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_77])]) ).
tff(f2138,plain,
( ub(summation(sK3),summation(sK3),summation(sK1(sK3,sK5,sK4)))
| ~ spl6_20
| spl6_77 ),
inference(unit_resulting_resolution,[],[f511,f511,f165]) ).
tff(f511,plain,
( ~ $less(summation(sK1(sK3,sK5,sK4)),summation(sK3))
| spl6_77 ),
inference(avatar_component_clause,[],[f509]) ).
tff(f3721,plain,
( spl6_477
| ~ spl6_9
| ~ spl6_76 ),
inference(avatar_split_clause,[],[f2114,f499,f120,f3719]) ).
tff(f3719,plain,
( spl6_477
<=> ! [X0: $int] : ~ ub(X0,summation(sK1(sK3,sK5,sK4)),summation(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_477])]) ).
tff(f499,plain,
( spl6_76
<=> $less(summation(sK3),summation(sK1(sK3,sK5,sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_76])]) ).
tff(f2114,plain,
( ! [X0: $int] : ~ ub(X0,summation(sK1(sK3,sK5,sK4)),summation(sK3))
| ~ spl6_9
| ~ spl6_76 ),
inference(unit_resulting_resolution,[],[f500,f121]) ).
tff(f500,plain,
( $less(summation(sK3),summation(sK1(sK3,sK5,sK4)))
| ~ spl6_76 ),
inference(avatar_component_clause,[],[f499]) ).
tff(f3717,plain,
( spl6_476
| ~ spl6_20
| spl6_158 ),
inference(avatar_split_clause,[],[f3082,f1166,f164,f3714]) ).
tff(f3082,plain,
( ub(summation($sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4))))),summation($sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4))))),summation(sK2(sK3,sK5,sK4)))
| ~ spl6_20
| spl6_158 ),
inference(unit_resulting_resolution,[],[f1168,f1168,f165]) ).
tff(f3712,plain,
( spl6_475
| ~ spl6_25
| spl6_98 ),
inference(avatar_split_clause,[],[f2524,f666,f184,f3709]) ).
tff(f3709,plain,
( spl6_475
<=> ( summation(summation(sK4)) = max(summation(summation($sum(c,summation(sK5)))),summation(summation(sK4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_475])]) ).
tff(f666,plain,
( spl6_98
<=> $less(summation(summation(sK4)),summation(summation($sum(c,summation(sK5))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_98])]) ).
tff(f2524,plain,
( ( summation(summation(sK4)) = max(summation(summation($sum(c,summation(sK5)))),summation(summation(sK4))) )
| ~ spl6_25
| spl6_98 ),
inference(unit_resulting_resolution,[],[f667,f185]) ).
tff(f667,plain,
( ~ $less(summation(summation(sK4)),summation(summation($sum(c,summation(sK5)))))
| spl6_98 ),
inference(avatar_component_clause,[],[f666]) ).
tff(f3707,plain,
( ~ spl6_474
| ~ spl6_14
| spl6_218 ),
inference(avatar_split_clause,[],[f2632,f1645,f140,f3704]) ).
tff(f3704,plain,
( spl6_474
<=> minsol_model_max(sK1(sK3,sK5,sK4),sK5,sK2(sK3,sK5,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_474])]) ).
tff(f1645,plain,
( spl6_218
<=> model_max(sK1(sK3,sK5,sK4),sK5,sK2(sK3,sK5,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_218])]) ).
tff(f2632,plain,
( ~ minsol_model_max(sK1(sK3,sK5,sK4),sK5,sK2(sK3,sK5,sK4))
| ~ spl6_14
| spl6_218 ),
inference(unit_resulting_resolution,[],[f1647,f141]) ).
tff(f1647,plain,
( ~ model_max(sK1(sK3,sK5,sK4),sK5,sK2(sK3,sK5,sK4))
| spl6_218 ),
inference(avatar_component_clause,[],[f1645]) ).
tff(f3702,plain,
( spl6_473
| ~ spl6_11
| ~ spl6_76 ),
inference(avatar_split_clause,[],[f2115,f499,f128,f3699]) ).
tff(f3699,plain,
( spl6_473
<=> $less(summation(summation(sK3)),summation(summation(sK1(sK3,sK5,sK4)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_473])]) ).
tff(f2115,plain,
( $less(summation(summation(sK3)),summation(summation(sK1(sK3,sK5,sK4))))
| ~ spl6_11
| ~ spl6_76 ),
inference(unit_resulting_resolution,[],[f500,f129]) ).
tff(f3696,plain,
( spl6_400
| ~ spl6_10
| ~ spl6_76 ),
inference(avatar_split_clause,[],[f2113,f499,f124,f3297]) ).
tff(f2113,plain,
( $less(sK3,sK1(sK3,sK5,sK4))
| ~ spl6_10
| ~ spl6_76 ),
inference(unit_resulting_resolution,[],[f500,f125]) ).
tff(f3695,plain,
( spl6_472
| ~ spl6_20
| spl6_98
| spl6_115 ),
inference(avatar_split_clause,[],[f2846,f797,f666,f164,f3692]) ).
tff(f3692,plain,
( spl6_472
<=> ub(summation(summation($sum(c,summation(sK5)))),summation(summation($sum(c,summation(sK1(sK3,sK5,sK4))))),summation(summation(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_472])]) ).
tff(f797,plain,
( spl6_115
<=> $less(summation(summation(sK4)),summation(summation($sum(c,summation(sK1(sK3,sK5,sK4)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_115])]) ).
tff(f2846,plain,
( ub(summation(summation($sum(c,summation(sK5)))),summation(summation($sum(c,summation(sK1(sK3,sK5,sK4))))),summation(summation(sK4)))
| ~ spl6_20
| spl6_98
| spl6_115 ),
inference(unit_resulting_resolution,[],[f667,f799,f165]) ).
tff(f799,plain,
( ~ $less(summation(summation(sK4)),summation(summation($sum(c,summation(sK1(sK3,sK5,sK4))))))
| spl6_115 ),
inference(avatar_component_clause,[],[f797]) ).
tff(f3690,plain,
( ~ spl6_471
| ~ spl6_10
| spl6_77 ),
inference(avatar_split_clause,[],[f2136,f509,f124,f3687]) ).
tff(f3687,plain,
( spl6_471
<=> $less(summation(summation(sK1(sK3,sK5,sK4))),summation(summation(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_471])]) ).
tff(f2136,plain,
( ~ $less(summation(summation(sK1(sK3,sK5,sK4))),summation(summation(sK3)))
| ~ spl6_10
| spl6_77 ),
inference(unit_resulting_resolution,[],[f511,f125]) ).
tff(f3684,plain,
( spl6_470
| ~ spl6_20
| spl6_115
| spl6_140 ),
inference(avatar_split_clause,[],[f2844,f1030,f797,f164,f3681]) ).
tff(f3681,plain,
( spl6_470
<=> ub(summation(summation($sum(c,summation(sK1(sK3,sK5,sK4))))),summation(summation($sum(c,summation(sK3)))),summation(summation(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_470])]) ).
tff(f2844,plain,
( ub(summation(summation($sum(c,summation(sK1(sK3,sK5,sK4))))),summation(summation($sum(c,summation(sK3)))),summation(summation(sK4)))
| ~ spl6_20
| spl6_115
| spl6_140 ),
inference(unit_resulting_resolution,[],[f1032,f799,f165]) ).
tff(f3679,plain,
( ~ spl6_469
| ~ spl6_10
| spl6_90 ),
inference(avatar_split_clause,[],[f2180,f603,f124,f3676]) ).
tff(f3676,plain,
( spl6_469
<=> $less(summation(summation(sK1(sK3,sK5,sK4))),summation(summation(sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_469])]) ).
tff(f603,plain,
( spl6_90
<=> $less(summation(sK1(sK3,sK5,sK4)),summation(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_90])]) ).
tff(f2180,plain,
( ~ $less(summation(summation(sK1(sK3,sK5,sK4))),summation(summation(sK5)))
| ~ spl6_10
| spl6_90 ),
inference(unit_resulting_resolution,[],[f605,f125]) ).
tff(f605,plain,
( ~ $less(summation(sK1(sK3,sK5,sK4)),summation(sK5))
| spl6_90 ),
inference(avatar_component_clause,[],[f603]) ).
tff(f3674,plain,
( spl6_468
| ~ spl6_11
| ~ spl6_136 ),
inference(avatar_split_clause,[],[f2582,f1000,f128,f3671]) ).
tff(f3671,plain,
( spl6_468
<=> $less(summation(summation(summation(sK2(sK3,sK5,sK4)))),summation(summation(summation(sK4)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_468])]) ).
tff(f1000,plain,
( spl6_136
<=> $less(summation(summation(sK2(sK3,sK5,sK4))),summation(summation(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_136])]) ).
tff(f2582,plain,
( $less(summation(summation(summation(sK2(sK3,sK5,sK4)))),summation(summation(summation(sK4))))
| ~ spl6_11
| ~ spl6_136 ),
inference(unit_resulting_resolution,[],[f1002,f129]) ).
tff(f1002,plain,
( $less(summation(summation(sK2(sK3,sK5,sK4))),summation(summation(sK4)))
| ~ spl6_136 ),
inference(avatar_component_clause,[],[f1000]) ).
tff(f3668,plain,
( spl6_467
| ~ spl6_28
| spl6_162 ),
inference(avatar_split_clause,[],[f2561,f1200,f196,f3665]) ).
tff(f3665,plain,
( spl6_467
<=> ( max(summation(summation(sK3)),summation(summation(sK5))) = summation(summation(sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_467])]) ).
tff(f1200,plain,
( spl6_162
<=> $less(summation(summation(sK3)),summation(summation(sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_162])]) ).
tff(f2561,plain,
( ( max(summation(summation(sK3)),summation(summation(sK5))) = summation(summation(sK3)) )
| ~ spl6_28
| spl6_162 ),
inference(unit_resulting_resolution,[],[f1202,f197]) ).
tff(f1202,plain,
( ~ $less(summation(summation(sK3)),summation(summation(sK5)))
| spl6_162 ),
inference(avatar_component_clause,[],[f1200]) ).
tff(f3663,plain,
( spl6_466
| ~ spl6_11
| ~ spl6_92 ),
inference(avatar_split_clause,[],[f2500,f626,f128,f3660]) ).
tff(f3660,plain,
( spl6_466
<=> $less(summation(summation(summation(sK5))),summation(summation(summation(sK1(sK3,sK5,sK4))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_466])]) ).
tff(f626,plain,
( spl6_92
<=> $less(summation(summation(sK5)),summation(summation(sK1(sK3,sK5,sK4)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_92])]) ).
tff(f2500,plain,
( $less(summation(summation(summation(sK5))),summation(summation(summation(sK1(sK3,sK5,sK4)))))
| ~ spl6_11
| ~ spl6_92 ),
inference(unit_resulting_resolution,[],[f627,f129]) ).
tff(f627,plain,
( $less(summation(summation(sK5)),summation(summation(sK1(sK3,sK5,sK4))))
| ~ spl6_92 ),
inference(avatar_component_clause,[],[f626]) ).
tff(f3658,plain,
( spl6_465
| ~ spl6_23
| ~ spl6_157 ),
inference(avatar_split_clause,[],[f3159,f1160,f176,f3656]) ).
tff(f1160,plain,
( spl6_157
<=> ( max(sK2(sK3,sK5,sK4),$sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4))))) = sK2(sK3,sK5,sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_157])]) ).
tff(f3159,plain,
( ! [X0: $int] :
( ~ model_max(sK2(sK3,sK5,sK4),$sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))),X0)
| ~ $less(X0,$sum(c,summation(sK2(sK3,sK5,sK4)))) )
| ~ spl6_23
| ~ spl6_157 ),
inference(superposition,[],[f177,f1162]) ).
tff(f1162,plain,
( ( max(sK2(sK3,sK5,sK4),$sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4))))) = sK2(sK3,sK5,sK4) )
| ~ spl6_157 ),
inference(avatar_component_clause,[],[f1160]) ).
tff(f3654,plain,
( ~ spl6_403
| ~ spl6_4
| spl6_43
| ~ spl6_132 ),
inference(avatar_split_clause,[],[f2277,f974,f281,f99,f3311]) ).
tff(f2277,plain,
( ~ $less(sK4,sK2(sK3,sK5,sK4))
| ~ spl6_4
| spl6_43
| ~ spl6_132 ),
inference(unit_resulting_resolution,[],[f283,f976,f100]) ).
tff(f3653,plain,
( spl6_464
| ~ spl6_25
| spl6_162 ),
inference(avatar_split_clause,[],[f2560,f1200,f184,f3650]) ).
tff(f3650,plain,
( spl6_464
<=> ( summation(summation(sK3)) = max(summation(summation(sK5)),summation(summation(sK3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_464])]) ).
tff(f2560,plain,
( ( summation(summation(sK3)) = max(summation(summation(sK5)),summation(summation(sK3))) )
| ~ spl6_25
| spl6_162 ),
inference(unit_resulting_resolution,[],[f1202,f185]) ).
tff(f3648,plain,
( spl6_463
| ~ spl6_30
| ~ spl6_136 ),
inference(avatar_split_clause,[],[f2583,f1000,f205,f3646]) ).
tff(f3646,plain,
( spl6_463
<=> ! [X0: $int] : ~ ub(summation(summation(sK4)),X0,summation(summation(sK2(sK3,sK5,sK4)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_463])]) ).
tff(f2583,plain,
( ! [X0: $int] : ~ ub(summation(summation(sK4)),X0,summation(summation(sK2(sK3,sK5,sK4))))
| ~ spl6_30
| ~ spl6_136 ),
inference(unit_resulting_resolution,[],[f1002,f206]) ).
tff(f3644,plain,
( spl6_462
| ~ spl6_20
| spl6_98
| spl6_140 ),
inference(avatar_split_clause,[],[f2610,f1030,f666,f164,f3641]) ).
tff(f3641,plain,
( spl6_462
<=> ub(summation(summation($sum(c,summation(sK5)))),summation(summation($sum(c,summation(sK3)))),summation(summation(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_462])]) ).
tff(f2610,plain,
( ub(summation(summation($sum(c,summation(sK5)))),summation(summation($sum(c,summation(sK3)))),summation(summation(sK4)))
| ~ spl6_20
| spl6_98
| spl6_140 ),
inference(unit_resulting_resolution,[],[f667,f1032,f165]) ).
tff(f3639,plain,
( ~ spl6_440
| ~ spl6_28
| spl6_90
| spl6_94 ),
inference(avatar_split_clause,[],[f2710,f636,f603,f196,f3508]) ).
tff(f3508,plain,
( spl6_440
<=> ( summation(sK5) = summation(sK1(sK3,sK5,sK4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_440])]) ).
tff(f636,plain,
( spl6_94
<=> ( max(summation(sK1(sK3,sK5,sK4)),summation(sK5)) = summation(sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_94])]) ).
tff(f2710,plain,
( ( summation(sK5) != summation(sK1(sK3,sK5,sK4)) )
| ~ spl6_28
| spl6_90
| spl6_94 ),
inference(subsumption_resolution,[],[f2702,f605]) ).
tff(f2702,plain,
( $less(summation(sK1(sK3,sK5,sK4)),summation(sK5))
| ( summation(sK5) != summation(sK1(sK3,sK5,sK4)) )
| ~ spl6_28
| spl6_94 ),
inference(superposition,[],[f637,f197]) ).
tff(f637,plain,
( ( max(summation(sK1(sK3,sK5,sK4)),summation(sK5)) != summation(sK5) )
| spl6_94 ),
inference(avatar_component_clause,[],[f636]) ).
tff(f3637,plain,
( spl6_461
| ~ spl6_30
| ~ spl6_132 ),
inference(avatar_split_clause,[],[f2282,f974,f205,f3635]) ).
tff(f3635,plain,
( spl6_461
<=> ! [X0: $int] : ~ ub($sum(c,summation(sK3)),X0,sK2(sK3,sK5,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_461])]) ).
tff(f2282,plain,
( ! [X0: $int] : ~ ub($sum(c,summation(sK3)),X0,sK2(sK3,sK5,sK4))
| ~ spl6_30
| ~ spl6_132 ),
inference(unit_resulting_resolution,[],[f976,f206]) ).
tff(f3633,plain,
( spl6_460
| ~ spl6_30
| ~ spl6_76 ),
inference(avatar_split_clause,[],[f2116,f499,f205,f3631]) ).
tff(f3631,plain,
( spl6_460
<=> ! [X0: $int] : ~ ub(summation(sK1(sK3,sK5,sK4)),X0,summation(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_460])]) ).
tff(f2116,plain,
( ! [X0: $int] : ~ ub(summation(sK1(sK3,sK5,sK4)),X0,summation(sK3))
| ~ spl6_30
| ~ spl6_76 ),
inference(unit_resulting_resolution,[],[f500,f206]) ).
tff(f3629,plain,
( spl6_459
| ~ spl6_28
| spl6_115 ),
inference(avatar_split_clause,[],[f2850,f797,f196,f3626]) ).
tff(f3626,plain,
( spl6_459
<=> ( max(summation(summation(sK4)),summation(summation($sum(c,summation(sK1(sK3,sK5,sK4)))))) = summation(summation(sK4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_459])]) ).
tff(f2850,plain,
( ( max(summation(summation(sK4)),summation(summation($sum(c,summation(sK1(sK3,sK5,sK4)))))) = summation(summation(sK4)) )
| ~ spl6_28
| spl6_115 ),
inference(unit_resulting_resolution,[],[f799,f197]) ).
tff(f3624,plain,
( ~ spl6_28
| spl6_140
| spl6_311 ),
inference(avatar_contradiction_clause,[],[f3623]) ).
tff(f3623,plain,
( $false
| ~ spl6_28
| spl6_140
| spl6_311 ),
inference(subsumption_resolution,[],[f2613,f2536]) ).
tff(f2536,plain,
( ( max(summation(summation(sK4)),summation(summation($sum(c,summation(sK3))))) != summation(summation(sK4)) )
| spl6_311 ),
inference(avatar_component_clause,[],[f2535]) ).
tff(f3622,plain,
( spl6_399
| ~ spl6_20
| spl6_115 ),
inference(avatar_split_clause,[],[f2848,f797,f164,f3292]) ).
tff(f3292,plain,
( spl6_399
<=> ub(summation(summation($sum(c,summation(sK1(sK3,sK5,sK4))))),summation(summation($sum(c,summation(sK1(sK3,sK5,sK4))))),summation(summation(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_399])]) ).
tff(f2848,plain,
( ub(summation(summation($sum(c,summation(sK1(sK3,sK5,sK4))))),summation(summation($sum(c,summation(sK1(sK3,sK5,sK4))))),summation(summation(sK4)))
| ~ spl6_20
| spl6_115 ),
inference(unit_resulting_resolution,[],[f799,f799,f165]) ).
tff(f3621,plain,
( spl6_458
| ~ spl6_28
| spl6_221 ),
inference(avatar_split_clause,[],[f3003,f1659,f196,f3618]) ).
tff(f3618,plain,
( spl6_458
<=> ( max(summation(sK1(sK3,sK5,sK4)),summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))) = summation(sK1(sK3,sK5,sK4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_458])]) ).
tff(f3003,plain,
( ( max(summation(sK1(sK3,sK5,sK4)),summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))) = summation(sK1(sK3,sK5,sK4)) )
| ~ spl6_28
| spl6_221 ),
inference(unit_resulting_resolution,[],[f1661,f197]) ).
tff(f3616,plain,
( spl6_451
| ~ spl6_20
| spl6_162 ),
inference(avatar_split_clause,[],[f2558,f1200,f164,f3577]) ).
tff(f3577,plain,
( spl6_451
<=> ub(summation(summation(sK5)),summation(summation(sK5)),summation(summation(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_451])]) ).
tff(f2558,plain,
( ub(summation(summation(sK5)),summation(summation(sK5)),summation(summation(sK3)))
| ~ spl6_20
| spl6_162 ),
inference(unit_resulting_resolution,[],[f1202,f1202,f165]) ).
tff(f3615,plain,
( spl6_457
| ~ spl6_28
| spl6_155 ),
inference(avatar_split_clause,[],[f2755,f1150,f196,f3612]) ).
tff(f3612,plain,
( spl6_457
<=> ( max(sK4,$sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4))))) = sK4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_457])]) ).
tff(f2755,plain,
( ( max(sK4,$sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4))))) = sK4 )
| ~ spl6_28
| spl6_155 ),
inference(unit_resulting_resolution,[],[f1152,f197]) ).
tff(f3610,plain,
( spl6_456
| ~ spl6_30
| ~ spl6_92 ),
inference(avatar_split_clause,[],[f2501,f626,f205,f3608]) ).
tff(f3608,plain,
( spl6_456
<=> ! [X0: $int] : ~ ub(summation(summation(sK1(sK3,sK5,sK4))),X0,summation(summation(sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_456])]) ).
tff(f2501,plain,
( ! [X0: $int] : ~ ub(summation(summation(sK1(sK3,sK5,sK4))),X0,summation(summation(sK5)))
| ~ spl6_30
| ~ spl6_92 ),
inference(unit_resulting_resolution,[],[f627,f206]) ).
tff(f3606,plain,
( spl6_455
| ~ spl6_20
| spl6_39
| spl6_155 ),
inference(avatar_split_clause,[],[f2747,f1150,f258,f164,f3603]) ).
tff(f3603,plain,
( spl6_455
<=> ub($sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))),$sum(c,summation(sK5)),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_455])]) ).
tff(f2747,plain,
( ub($sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))),$sum(c,summation(sK5)),sK4)
| ~ spl6_20
| spl6_39
| spl6_155 ),
inference(unit_resulting_resolution,[],[f260,f1152,f165]) ).
tff(f3601,plain,
( ~ spl6_20
| spl6_140
| spl6_310 ),
inference(avatar_contradiction_clause,[],[f3600]) ).
tff(f3600,plain,
( $false
| ~ spl6_20
| spl6_140
| spl6_310 ),
inference(subsumption_resolution,[],[f2609,f2530]) ).
tff(f2530,plain,
( ~ ub(summation(summation($sum(c,summation(sK3)))),summation(summation($sum(c,summation(sK3)))),summation(summation(sK4)))
| spl6_310 ),
inference(avatar_component_clause,[],[f2529]) ).
tff(f3598,plain,
( spl6_239
| ~ spl6_9
| ~ spl6_236 ),
inference(avatar_split_clause,[],[f2204,f1805,f120,f1820]) ).
tff(f1820,plain,
( spl6_239
<=> ! [X0: $int] : ~ ub(X0,sK4,sK2(sK3,sK3,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_239])]) ).
tff(f2204,plain,
( ! [X0: $int] : ~ ub(X0,sK4,sK2(sK3,sK3,sK4))
| ~ spl6_9
| ~ spl6_236 ),
inference(unit_resulting_resolution,[],[f1807,f121]) ).
tff(f3597,plain,
( ~ spl6_27
| ~ spl6_177
| spl6_229
| spl6_234 ),
inference(avatar_contradiction_clause,[],[f3596]) ).
tff(f3596,plain,
( $false
| ~ spl6_27
| ~ spl6_177
| spl6_229
| spl6_234 ),
inference(subsumption_resolution,[],[f2201,f1725]) ).
tff(f1725,plain,
( ~ minsol_model_ub(sK3,sK3,sK4)
| spl6_229 ),
inference(avatar_component_clause,[],[f1724]) ).
tff(f2201,plain,
( minsol_model_ub(sK3,sK3,sK4)
| ~ spl6_27
| ~ spl6_177
| spl6_234 ),
inference(unit_resulting_resolution,[],[f1765,f1300,f193]) ).
tff(f1300,plain,
( model_ub(sK3,sK3,sK4)
| ~ spl6_177 ),
inference(avatar_component_clause,[],[f1298]) ).
tff(f1298,plain,
( spl6_177
<=> model_ub(sK3,sK3,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_177])]) ).
tff(f1765,plain,
( ~ model_ub(sK3,sK3,sK2(sK3,sK3,sK4))
| spl6_234 ),
inference(avatar_component_clause,[],[f1763]) ).
tff(f3594,plain,
( spl6_454
| ~ spl6_20
| spl6_39
| spl6_155 ),
inference(avatar_split_clause,[],[f2752,f1150,f258,f164,f3591]) ).
tff(f2752,plain,
( ub($sum(c,summation(sK5)),$sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))),sK4)
| ~ spl6_20
| spl6_39
| spl6_155 ),
inference(unit_resulting_resolution,[],[f260,f1152,f165]) ).
tff(f3589,plain,
( spl6_453
| ~ spl6_20
| spl6_77
| spl6_221 ),
inference(avatar_split_clause,[],[f3000,f1659,f509,f164,f3586]) ).
tff(f3586,plain,
( spl6_453
<=> ub(summation(sK3),summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4))),summation(sK1(sK3,sK5,sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_453])]) ).
tff(f3000,plain,
( ub(summation(sK3),summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4))),summation(sK1(sK3,sK5,sK4)))
| ~ spl6_20
| spl6_77
| spl6_221 ),
inference(unit_resulting_resolution,[],[f511,f1661,f165]) ).
tff(f3584,plain,
( spl6_452
| ~ spl6_23
| ~ spl6_87 ),
inference(avatar_split_clause,[],[f2684,f588,f176,f3582]) ).
tff(f3582,plain,
( spl6_452
<=> ! [X0: $int] :
( ~ model_max(sK1(sK3,sK5,sK4),sK5,X0)
| ~ $less(X0,$sum(c,summation(sK1(sK3,sK5,sK4)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_452])]) ).
tff(f2684,plain,
( ! [X0: $int] :
( ~ model_max(sK1(sK3,sK5,sK4),sK5,X0)
| ~ $less(X0,$sum(c,summation(sK1(sK3,sK5,sK4)))) )
| ~ spl6_23
| ~ spl6_87 ),
inference(superposition,[],[f177,f590]) ).
tff(f3580,plain,
( spl6_451
| ~ spl6_20
| spl6_162 ),
inference(avatar_split_clause,[],[f2559,f1200,f164,f3577]) ).
tff(f2559,plain,
( ub(summation(summation(sK5)),summation(summation(sK5)),summation(summation(sK3)))
| ~ spl6_20
| spl6_162 ),
inference(unit_resulting_resolution,[],[f1202,f1202,f165]) ).
tff(f3575,plain,
( spl6_450
| ~ spl6_28
| spl6_158 ),
inference(avatar_split_clause,[],[f3085,f1166,f196,f3572]) ).
tff(f3085,plain,
( ( summation(sK2(sK3,sK5,sK4)) = max(summation(sK2(sK3,sK5,sK4)),summation($sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))))) )
| ~ spl6_28
| spl6_158 ),
inference(unit_resulting_resolution,[],[f1168,f197]) ).
tff(f3570,plain,
( spl6_449
| ~ spl6_25
| spl6_155 ),
inference(avatar_split_clause,[],[f2754,f1150,f184,f3567]) ).
tff(f2754,plain,
( ( max($sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))),sK4) = sK4 )
| ~ spl6_25
| spl6_155 ),
inference(unit_resulting_resolution,[],[f1152,f185]) ).
tff(f3563,plain,
( spl6_435
| ~ spl6_20
| spl6_155 ),
inference(avatar_split_clause,[],[f2745,f1150,f164,f3480]) ).
tff(f2745,plain,
( ub($sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))),$sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))),sK4)
| ~ spl6_20
| spl6_155 ),
inference(unit_resulting_resolution,[],[f1152,f1152,f165]) ).
tff(f3561,plain,
( spl6_448
| ~ spl6_25
| spl6_90 ),
inference(avatar_split_clause,[],[f2185,f603,f184,f3558]) ).
tff(f3558,plain,
( spl6_448
<=> ( max(summation(sK5),summation(sK1(sK3,sK5,sK4))) = summation(sK1(sK3,sK5,sK4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_448])]) ).
tff(f2185,plain,
( ( max(summation(sK5),summation(sK1(sK3,sK5,sK4))) = summation(sK1(sK3,sK5,sK4)) )
| ~ spl6_25
| spl6_90 ),
inference(unit_resulting_resolution,[],[f605,f185]) ).
tff(f3556,plain,
( spl6_412
| spl6_411
| ~ spl6_25
| ~ spl6_157 ),
inference(avatar_split_clause,[],[f3157,f1160,f184,f3356,f3360]) ).
tff(f3356,plain,
( spl6_411
<=> $less($sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))),sK2(sK3,sK5,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_411])]) ).
tff(f3157,plain,
( $less($sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))),sK2(sK3,sK5,sK4))
| ( sK2(sK3,sK5,sK4) = $sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))) )
| ~ spl6_25
| ~ spl6_157 ),
inference(superposition,[],[f1162,f185]) ).
tff(f3554,plain,
( spl6_447
| ~ spl6_25
| spl6_115 ),
inference(avatar_split_clause,[],[f2849,f797,f184,f3551]) ).
tff(f3551,plain,
( spl6_447
<=> ( max(summation(summation($sum(c,summation(sK1(sK3,sK5,sK4))))),summation(summation(sK4))) = summation(summation(sK4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_447])]) ).
tff(f2849,plain,
( ( max(summation(summation($sum(c,summation(sK1(sK3,sK5,sK4))))),summation(summation(sK4))) = summation(summation(sK4)) )
| ~ spl6_25
| spl6_115 ),
inference(unit_resulting_resolution,[],[f799,f185]) ).
tff(f3548,plain,
( spl6_446
| ~ spl6_20
| spl6_43
| spl6_155 ),
inference(avatar_split_clause,[],[f2746,f1150,f281,f164,f3545]) ).
tff(f3545,plain,
( spl6_446
<=> ub($sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))),$sum(c,summation(sK3)),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_446])]) ).
tff(f2746,plain,
( ub($sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))),$sum(c,summation(sK3)),sK4)
| ~ spl6_20
| spl6_43
| spl6_155 ),
inference(unit_resulting_resolution,[],[f283,f1152,f165]) ).
tff(f3543,plain,
( spl6_445
| ~ spl6_20
| spl6_39
| spl6_285 ),
inference(avatar_split_clause,[],[f2320,f2304,f258,f164,f3540]) ).
tff(f3540,plain,
( spl6_445
<=> ub(sK2(sK3,sK3,sK4),$sum(c,summation(sK5)),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_445])]) ).
tff(f2320,plain,
( ub(sK2(sK3,sK3,sK4),$sum(c,summation(sK5)),sK4)
| ~ spl6_20
| spl6_39
| spl6_285 ),
inference(unit_resulting_resolution,[],[f260,f2306,f165]) ).
tff(f3537,plain,
( ~ spl6_444
| ~ spl6_10
| spl6_98 ),
inference(avatar_split_clause,[],[f2521,f666,f124,f3534]) ).
tff(f3534,plain,
( spl6_444
<=> $less(summation(summation(summation(sK4))),summation(summation(summation($sum(c,summation(sK5)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_444])]) ).
tff(f2521,plain,
( ~ $less(summation(summation(summation(sK4))),summation(summation(summation($sum(c,summation(sK5))))))
| ~ spl6_10
| spl6_98 ),
inference(unit_resulting_resolution,[],[f667,f125]) ).
tff(f3532,plain,
( spl6_181
| ~ spl6_70
| ~ spl6_193 ),
inference(avatar_split_clause,[],[f3531,f1400,f459,f1337]) ).
tff(f1337,plain,
( spl6_181
<=> ub(summation($sum(c,summation(sK5))),summation($sum(c,summation(sK3))),summation(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_181])]) ).
tff(f1400,plain,
( spl6_193
<=> ub(summation($sum(c,summation(sK5))),summation($sum(c,summation(max(sK3,sK5)))),summation(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_193])]) ).
tff(f3531,plain,
( ub(summation($sum(c,summation(sK5))),summation($sum(c,summation(sK3))),summation(sK4))
| ~ spl6_70
| ~ spl6_193 ),
inference(forward_demodulation,[],[f1402,f461]) ).
tff(f1402,plain,
( ub(summation($sum(c,summation(sK5))),summation($sum(c,summation(max(sK3,sK5)))),summation(sK4))
| ~ spl6_193 ),
inference(avatar_component_clause,[],[f1400]) ).
tff(f3530,plain,
( spl6_443
| ~ spl6_20
| spl6_39
| spl6_285 ),
inference(avatar_split_clause,[],[f2324,f2304,f258,f164,f3527]) ).
tff(f3527,plain,
( spl6_443
<=> ub($sum(c,summation(sK5)),sK2(sK3,sK3,sK4),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_443])]) ).
tff(f2324,plain,
( ub($sum(c,summation(sK5)),sK2(sK3,sK3,sK4),sK4)
| ~ spl6_20
| spl6_39
| spl6_285 ),
inference(unit_resulting_resolution,[],[f260,f2306,f165]) ).
tff(f3525,plain,
( ~ spl6_442
| ~ spl6_14
| spl6_222 ),
inference(avatar_split_clause,[],[f2652,f1664,f140,f3522]) ).
tff(f3522,plain,
( spl6_442
<=> minsol_model_max(sK5,sK1(sK3,sK5,sK4),sK2(sK3,sK5,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_442])]) ).
tff(f1664,plain,
( spl6_222
<=> model_max(sK5,sK1(sK3,sK5,sK4),sK2(sK3,sK5,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_222])]) ).
tff(f2652,plain,
( ~ minsol_model_max(sK5,sK1(sK3,sK5,sK4),sK2(sK3,sK5,sK4))
| ~ spl6_14
| spl6_222 ),
inference(unit_resulting_resolution,[],[f1666,f141]) ).
tff(f1666,plain,
( ~ model_max(sK5,sK1(sK3,sK5,sK4),sK2(sK3,sK5,sK4))
| spl6_222 ),
inference(avatar_component_clause,[],[f1664]) ).
tff(f3520,plain,
( spl6_432
| ~ spl6_20
| spl6_36
| ~ spl6_70
| spl6_155 ),
inference(avatar_split_clause,[],[f3519,f1150,f459,f239,f164,f3462]) ).
tff(f3462,plain,
( spl6_432
<=> ub($sum(c,summation(sK3)),$sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_432])]) ).
tff(f3519,plain,
( ub($sum(c,summation(sK3)),$sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))),sK4)
| ~ spl6_20
| spl6_36
| ~ spl6_70
| spl6_155 ),
inference(forward_demodulation,[],[f2749,f461]) ).
tff(f2749,plain,
( ub($sum(c,summation(max(sK3,sK5))),$sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))),sK4)
| ~ spl6_20
| spl6_36
| spl6_155 ),
inference(unit_resulting_resolution,[],[f241,f1152,f165]) ).
tff(f3518,plain,
( spl6_35
| ~ spl6_26
| spl6_36 ),
inference(avatar_split_clause,[],[f896,f239,f188,f231]) ).
tff(f896,plain,
( model_max(sK3,sK5,sK4)
| ~ spl6_26
| spl6_36 ),
inference(unit_resulting_resolution,[],[f241,f189]) ).
tff(f3517,plain,
( spl6_428
| ~ spl6_20
| spl6_221 ),
inference(avatar_split_clause,[],[f2996,f1659,f164,f3441]) ).
tff(f3441,plain,
( spl6_428
<=> ub(summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4))),summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4))),summation(sK1(sK3,sK5,sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_428])]) ).
tff(f2996,plain,
( ub(summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4))),summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4))),summation(sK1(sK3,sK5,sK4)))
| ~ spl6_20
| spl6_221 ),
inference(unit_resulting_resolution,[],[f1661,f1661,f165]) ).
tff(f3516,plain,
( ~ spl6_441
| ~ spl6_10
| spl6_115 ),
inference(avatar_split_clause,[],[f2842,f797,f124,f3513]) ).
tff(f3513,plain,
( spl6_441
<=> $less(summation(summation(summation(sK4))),summation(summation(summation($sum(c,summation(sK1(sK3,sK5,sK4))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_441])]) ).
tff(f2842,plain,
( ~ $less(summation(summation(summation(sK4))),summation(summation(summation($sum(c,summation(sK1(sK3,sK5,sK4)))))))
| ~ spl6_10
| spl6_115 ),
inference(unit_resulting_resolution,[],[f799,f125]) ).
tff(f3511,plain,
( ~ spl6_440
| ~ spl6_25
| spl6_90
| spl6_95 ),
inference(avatar_split_clause,[],[f2727,f641,f603,f184,f3508]) ).
tff(f641,plain,
( spl6_95
<=> ( summation(sK5) = max(summation(sK5),summation(sK1(sK3,sK5,sK4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_95])]) ).
tff(f2727,plain,
( ( summation(sK5) != summation(sK1(sK3,sK5,sK4)) )
| ~ spl6_25
| spl6_90
| spl6_95 ),
inference(subsumption_resolution,[],[f2720,f605]) ).
tff(f2720,plain,
( $less(summation(sK1(sK3,sK5,sK4)),summation(sK5))
| ( summation(sK5) != summation(sK1(sK3,sK5,sK4)) )
| ~ spl6_25
| spl6_95 ),
inference(superposition,[],[f642,f185]) ).
tff(f642,plain,
( ( summation(sK5) != max(summation(sK5),summation(sK1(sK3,sK5,sK4))) )
| spl6_95 ),
inference(avatar_component_clause,[],[f641]) ).
tff(f3506,plain,
( spl6_439
| ~ spl6_25
| spl6_158 ),
inference(avatar_split_clause,[],[f3084,f1166,f184,f3503]) ).
tff(f3084,plain,
( ( max(summation($sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4))))),summation(sK2(sK3,sK5,sK4))) = summation(sK2(sK3,sK5,sK4)) )
| ~ spl6_25
| spl6_158 ),
inference(unit_resulting_resolution,[],[f1168,f185]) ).
tff(f3501,plain,
( spl6_438
| ~ spl6_20
| spl6_77
| spl6_90 ),
inference(avatar_split_clause,[],[f2181,f603,f509,f164,f3498]) ).
tff(f3498,plain,
( spl6_438
<=> ub(summation(sK5),summation(sK3),summation(sK1(sK3,sK5,sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_438])]) ).
tff(f2181,plain,
( ub(summation(sK5),summation(sK3),summation(sK1(sK3,sK5,sK4)))
| ~ spl6_20
| spl6_77
| spl6_90 ),
inference(unit_resulting_resolution,[],[f511,f605,f165]) ).
tff(f3496,plain,
( ~ spl6_437
| ~ spl6_14
| spl6_219 ),
inference(avatar_split_clause,[],[f2647,f1650,f140,f3493]) ).
tff(f3493,plain,
( spl6_437
<=> minsol_model_max(sK1(sK3,sK5,sK4),sK3,sK2(sK3,sK5,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_437])]) ).
tff(f1650,plain,
( spl6_219
<=> model_max(sK1(sK3,sK5,sK4),sK3,sK2(sK3,sK5,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_219])]) ).
tff(f2647,plain,
( ~ minsol_model_max(sK1(sK3,sK5,sK4),sK3,sK2(sK3,sK5,sK4))
| ~ spl6_14
| spl6_219 ),
inference(unit_resulting_resolution,[],[f1652,f141]) ).
tff(f1652,plain,
( ~ model_max(sK1(sK3,sK5,sK4),sK3,sK2(sK3,sK5,sK4))
| spl6_219 ),
inference(avatar_component_clause,[],[f1650]) ).
tff(f3491,plain,
( spl6_436
| ~ spl6_9
| ~ spl6_111 ),
inference(avatar_split_clause,[],[f2236,f773,f120,f3489]) ).
tff(f3489,plain,
( spl6_436
<=> ! [X0: $int] : ~ ub(X0,summation(sK4),summation($sum(c,summation(sK5)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_436])]) ).
tff(f773,plain,
( spl6_111
<=> $less(summation($sum(c,summation(sK5))),summation(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_111])]) ).
tff(f2236,plain,
( ! [X0: $int] : ~ ub(X0,summation(sK4),summation($sum(c,summation(sK5))))
| ~ spl6_9
| ~ spl6_111 ),
inference(unit_resulting_resolution,[],[f774,f121]) ).
tff(f774,plain,
( $less(summation($sum(c,summation(sK5))),summation(sK4))
| ~ spl6_111 ),
inference(avatar_component_clause,[],[f773]) ).
tff(f3487,plain,
( spl6_394
| spl6_395
| ~ spl6_28
| ~ spl6_116 ),
inference(avatar_split_clause,[],[f2951,f802,f196,f3272,f3268]) ).
tff(f3268,plain,
( spl6_394
<=> $less(summation($sum(c,summation(sK1(sK3,sK5,sK4)))),summation(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_394])]) ).
tff(f3272,plain,
( spl6_395
<=> ( summation($sum(c,summation(sK1(sK3,sK5,sK4)))) = summation(sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_395])]) ).
tff(f802,plain,
( spl6_116
<=> ( max(summation($sum(c,summation(sK1(sK3,sK5,sK4)))),summation(sK4)) = summation(sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_116])]) ).
tff(f2951,plain,
( ( summation($sum(c,summation(sK1(sK3,sK5,sK4)))) = summation(sK4) )
| $less(summation($sum(c,summation(sK1(sK3,sK5,sK4)))),summation(sK4))
| ~ spl6_28
| ~ spl6_116 ),
inference(superposition,[],[f197,f804]) ).
tff(f804,plain,
( ( max(summation($sum(c,summation(sK1(sK3,sK5,sK4)))),summation(sK4)) = summation(sK4) )
| ~ spl6_116 ),
inference(avatar_component_clause,[],[f802]) ).
tff(f3485,plain,
( spl6_429
| ~ spl6_20
| spl6_98 ),
inference(avatar_split_clause,[],[f2522,f666,f164,f3447]) ).
tff(f3447,plain,
( spl6_429
<=> ub(summation(summation($sum(c,summation(sK5)))),summation(summation($sum(c,summation(sK5)))),summation(summation(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_429])]) ).
tff(f2522,plain,
( ub(summation(summation($sum(c,summation(sK5)))),summation(summation($sum(c,summation(sK5)))),summation(summation(sK4)))
| ~ spl6_20
| spl6_98 ),
inference(unit_resulting_resolution,[],[f667,f667,f165]) ).
tff(f3484,plain,
( spl6_198
| ~ spl6_23
| ~ spl6_100 ),
inference(avatar_split_clause,[],[f2198,f684,f176,f1432]) ).
tff(f1432,plain,
( spl6_198
<=> ! [X0: $int] :
( ~ $less(X0,$sum(c,summation(sK4)))
| ~ model_max($sum(c,summation(sK5)),sK4,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_198])]) ).
tff(f684,plain,
( spl6_100
<=> ( max($sum(c,summation(sK5)),sK4) = sK4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_100])]) ).
tff(f2198,plain,
( ! [X0: $int] :
( ~ $less(X0,$sum(c,summation(sK4)))
| ~ model_max($sum(c,summation(sK5)),sK4,X0) )
| ~ spl6_23
| ~ spl6_100 ),
inference(superposition,[],[f177,f685]) ).
tff(f685,plain,
( ( max($sum(c,summation(sK5)),sK4) = sK4 )
| ~ spl6_100 ),
inference(avatar_component_clause,[],[f684]) ).
tff(f3483,plain,
( spl6_435
| ~ spl6_20
| spl6_155 ),
inference(avatar_split_clause,[],[f2750,f1150,f164,f3480]) ).
tff(f2750,plain,
( ub($sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))),$sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))),sK4)
| ~ spl6_20
| spl6_155 ),
inference(unit_resulting_resolution,[],[f1152,f1152,f165]) ).
tff(f3478,plain,
( spl6_434
| ~ spl6_20
| spl6_90
| spl6_221 ),
inference(avatar_split_clause,[],[f3001,f1659,f603,f164,f3475]) ).
tff(f3475,plain,
( spl6_434
<=> ub(summation(sK5),summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4))),summation(sK1(sK3,sK5,sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_434])]) ).
tff(f3001,plain,
( ub(summation(sK5),summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4))),summation(sK1(sK3,sK5,sK4)))
| ~ spl6_20
| spl6_90
| spl6_221 ),
inference(unit_resulting_resolution,[],[f605,f1661,f165]) ).
tff(f3473,plain,
( spl6_411
| spl6_412
| ~ spl6_28
| ~ spl6_154 ),
inference(avatar_split_clause,[],[f3128,f1145,f196,f3360,f3356]) ).
tff(f1145,plain,
( spl6_154
<=> ( sK2(sK3,sK5,sK4) = max($sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))),sK2(sK3,sK5,sK4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_154])]) ).
tff(f3128,plain,
( ( sK2(sK3,sK5,sK4) = $sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))) )
| $less($sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))),sK2(sK3,sK5,sK4))
| ~ spl6_28
| ~ spl6_154 ),
inference(superposition,[],[f1147,f197]) ).
tff(f1147,plain,
( ( sK2(sK3,sK5,sK4) = max($sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))),sK2(sK3,sK5,sK4)) )
| ~ spl6_154 ),
inference(avatar_component_clause,[],[f1145]) ).
tff(f3472,plain,
( ~ spl6_433
| ~ spl6_14
| spl6_217 ),
inference(avatar_split_clause,[],[f2617,f1640,f140,f3469]) ).
tff(f3469,plain,
( spl6_433
<=> minsol_model_max(sK3,sK1(sK3,sK5,sK4),sK2(sK3,sK5,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_433])]) ).
tff(f1640,plain,
( spl6_217
<=> model_max(sK3,sK1(sK3,sK5,sK4),sK2(sK3,sK5,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_217])]) ).
tff(f2617,plain,
( ~ minsol_model_max(sK3,sK1(sK3,sK5,sK4),sK2(sK3,sK5,sK4))
| ~ spl6_14
| spl6_217 ),
inference(unit_resulting_resolution,[],[f1642,f141]) ).
tff(f1642,plain,
( ~ model_max(sK3,sK1(sK3,sK5,sK4),sK2(sK3,sK5,sK4))
| spl6_217 ),
inference(avatar_component_clause,[],[f1640]) ).
tff(f3466,plain,
( spl6_105
| ~ spl6_25
| ~ spl6_62
| spl6_104 ),
inference(avatar_split_clause,[],[f1916,f719,f405,f184,f723]) ).
tff(f405,plain,
( spl6_62
<=> ( sK4 = max(sK4,$sum(c,summation(sK1(sK3,sK5,sK4)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_62])]) ).
tff(f719,plain,
( spl6_104
<=> ( $sum(c,summation(sK1(sK3,sK5,sK4))) = sK4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_104])]) ).
tff(f1916,plain,
( $less($sum(c,summation(sK1(sK3,sK5,sK4))),sK4)
| ~ spl6_25
| ~ spl6_62
| spl6_104 ),
inference(subsumption_resolution,[],[f1913,f720]) ).
tff(f720,plain,
( ( $sum(c,summation(sK1(sK3,sK5,sK4))) != sK4 )
| spl6_104 ),
inference(avatar_component_clause,[],[f719]) ).
tff(f1913,plain,
( ( $sum(c,summation(sK1(sK3,sK5,sK4))) = sK4 )
| $less($sum(c,summation(sK1(sK3,sK5,sK4))),sK4)
| ~ spl6_25
| ~ spl6_62 ),
inference(superposition,[],[f407,f185]) ).
tff(f407,plain,
( ( sK4 = max(sK4,$sum(c,summation(sK1(sK3,sK5,sK4)))) )
| ~ spl6_62 ),
inference(avatar_component_clause,[],[f405]) ).
tff(f3465,plain,
( spl6_432
| ~ spl6_20
| spl6_43
| spl6_155 ),
inference(avatar_split_clause,[],[f2751,f1150,f281,f164,f3462]) ).
tff(f2751,plain,
( ub($sum(c,summation(sK3)),$sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))),sK4)
| ~ spl6_20
| spl6_43
| spl6_155 ),
inference(unit_resulting_resolution,[],[f283,f1152,f165]) ).
tff(f3459,plain,
( spl6_431
| ~ spl6_9
| ~ spl6_132 ),
inference(avatar_split_clause,[],[f2280,f974,f120,f3457]) ).
tff(f3457,plain,
( spl6_431
<=> ! [X0: $int] : ~ ub(X0,$sum(c,summation(sK3)),sK2(sK3,sK5,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_431])]) ).
tff(f2280,plain,
( ! [X0: $int] : ~ ub(X0,$sum(c,summation(sK3)),sK2(sK3,sK5,sK4))
| ~ spl6_9
| ~ spl6_132 ),
inference(unit_resulting_resolution,[],[f976,f121]) ).
tff(f3455,plain,
( spl6_430
| ~ spl6_20
| spl6_115
| spl6_140 ),
inference(avatar_split_clause,[],[f2847,f1030,f797,f164,f3452]) ).
tff(f3452,plain,
( spl6_430
<=> ub(summation(summation($sum(c,summation(sK3)))),summation(summation($sum(c,summation(sK1(sK3,sK5,sK4))))),summation(summation(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_430])]) ).
tff(f2847,plain,
( ub(summation(summation($sum(c,summation(sK3)))),summation(summation($sum(c,summation(sK1(sK3,sK5,sK4))))),summation(summation(sK4)))
| ~ spl6_20
| spl6_115
| spl6_140 ),
inference(unit_resulting_resolution,[],[f1032,f799,f165]) ).
tff(f3450,plain,
( spl6_429
| ~ spl6_20
| spl6_98 ),
inference(avatar_split_clause,[],[f2523,f666,f164,f3447]) ).
tff(f2523,plain,
( ub(summation(summation($sum(c,summation(sK5)))),summation(summation($sum(c,summation(sK5)))),summation(summation(sK4)))
| ~ spl6_20
| spl6_98 ),
inference(unit_resulting_resolution,[],[f667,f667,f165]) ).
tff(f3445,plain,
( ~ spl6_50
| ~ spl6_9
| ~ spl6_163 ),
inference(avatar_split_clause,[],[f2688,f1205,f120,f322]) ).
tff(f1205,plain,
( spl6_163
<=> ub(summation(sK5),summation(sK5),summation(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_163])]) ).
tff(f2688,plain,
( ~ $less(summation(sK3),summation(sK5))
| ~ spl6_9
| ~ spl6_163 ),
inference(unit_resulting_resolution,[],[f1207,f121]) ).
tff(f1207,plain,
( ub(summation(sK5),summation(sK5),summation(sK3))
| ~ spl6_163 ),
inference(avatar_component_clause,[],[f1205]) ).
tff(f3444,plain,
( spl6_428
| ~ spl6_20
| spl6_221 ),
inference(avatar_split_clause,[],[f2999,f1659,f164,f3441]) ).
tff(f2999,plain,
( ub(summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4))),summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4))),summation(sK1(sK3,sK5,sK4)))
| ~ spl6_20
| spl6_221 ),
inference(unit_resulting_resolution,[],[f1661,f1661,f165]) ).
tff(f3439,plain,
( spl6_411
| spl6_412
| ~ spl6_28
| ~ spl6_154 ),
inference(avatar_split_clause,[],[f3129,f1145,f196,f3360,f3356]) ).
tff(f3129,plain,
( ( sK2(sK3,sK5,sK4) = $sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))) )
| $less($sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))),sK2(sK3,sK5,sK4))
| ~ spl6_28
| ~ spl6_154 ),
inference(superposition,[],[f197,f1147]) ).
tff(f3437,plain,
( spl6_400
| spl6_401
| ~ spl6_28
| ~ spl6_80 ),
inference(avatar_split_clause,[],[f2670,f525,f196,f3301,f3297]) ).
tff(f3301,plain,
( spl6_401
<=> ( sK1(sK3,sK5,sK4) = sK3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_401])]) ).
tff(f2670,plain,
( ( sK1(sK3,sK5,sK4) = sK3 )
| $less(sK3,sK1(sK3,sK5,sK4))
| ~ spl6_28
| ~ spl6_80 ),
inference(superposition,[],[f527,f197]) ).
tff(f3436,plain,
( spl6_427
| ~ spl6_11
| ~ spl6_111 ),
inference(avatar_split_clause,[],[f2237,f773,f128,f3433]) ).
tff(f3433,plain,
( spl6_427
<=> $less(summation(summation($sum(c,summation(sK5)))),summation(summation(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_427])]) ).
tff(f2237,plain,
( $less(summation(summation($sum(c,summation(sK5)))),summation(summation(sK4)))
| ~ spl6_11
| ~ spl6_111 ),
inference(unit_resulting_resolution,[],[f774,f129]) ).
tff(f3431,plain,
( spl6_426
| ~ spl6_28
| spl6_98 ),
inference(avatar_split_clause,[],[f2525,f666,f196,f3428]) ).
tff(f3428,plain,
( spl6_426
<=> ( summation(summation(sK4)) = max(summation(summation(sK4)),summation(summation($sum(c,summation(sK5))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_426])]) ).
tff(f2525,plain,
( ( summation(summation(sK4)) = max(summation(summation(sK4)),summation(summation($sum(c,summation(sK5))))) )
| ~ spl6_28
| spl6_98 ),
inference(unit_resulting_resolution,[],[f667,f197]) ).
tff(f3426,plain,
( spl6_425
| ~ spl6_23
| ~ spl6_154 ),
inference(avatar_split_clause,[],[f3130,f1145,f176,f3424]) ).
tff(f3130,plain,
( ! [X0: $int] :
( ~ model_max($sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))),sK2(sK3,sK5,sK4),X0)
| ~ $less(X0,$sum(c,summation(sK2(sK3,sK5,sK4)))) )
| ~ spl6_23
| ~ spl6_154 ),
inference(superposition,[],[f177,f1147]) ).
tff(f3422,plain,
( spl6_424
| ~ spl6_11
| ~ spl6_200 ),
inference(avatar_split_clause,[],[f2463,f1449,f128,f3419]) ).
tff(f3419,plain,
( spl6_424
<=> $less(summation(sK2(sK3,sK5,sK4)),summation($sum(c,summation(sK5)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_424])]) ).
tff(f2463,plain,
( $less(summation(sK2(sK3,sK5,sK4)),summation($sum(c,summation(sK5))))
| ~ spl6_11
| ~ spl6_200 ),
inference(unit_resulting_resolution,[],[f1451,f129]) ).
tff(f3417,plain,
( spl6_423
| ~ spl6_25
| spl6_77 ),
inference(avatar_split_clause,[],[f2139,f509,f184,f3414]) ).
tff(f3414,plain,
( spl6_423
<=> ( max(summation(sK3),summation(sK1(sK3,sK5,sK4))) = summation(sK1(sK3,sK5,sK4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_423])]) ).
tff(f2139,plain,
( ( max(summation(sK3),summation(sK1(sK3,sK5,sK4))) = summation(sK1(sK3,sK5,sK4)) )
| ~ spl6_25
| spl6_77 ),
inference(unit_resulting_resolution,[],[f511,f185]) ).
tff(f3412,plain,
( spl6_384
| ~ spl6_20
| spl6_90 ),
inference(avatar_split_clause,[],[f2184,f603,f164,f3216]) ).
tff(f3216,plain,
( spl6_384
<=> ub(summation(sK5),summation(sK5),summation(sK1(sK3,sK5,sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_384])]) ).
tff(f2184,plain,
( ub(summation(sK5),summation(sK5),summation(sK1(sK3,sK5,sK4)))
| ~ spl6_20
| spl6_90 ),
inference(unit_resulting_resolution,[],[f605,f605,f165]) ).
tff(f3411,plain,
( spl6_422
| ~ spl6_20
| spl6_36
| spl6_285 ),
inference(avatar_split_clause,[],[f2322,f2304,f239,f164,f3408]) ).
tff(f3408,plain,
( spl6_422
<=> ub($sum(c,summation(max(sK3,sK5))),sK2(sK3,sK3,sK4),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_422])]) ).
tff(f2322,plain,
( ub($sum(c,summation(max(sK3,sK5))),sK2(sK3,sK3,sK4),sK4)
| ~ spl6_20
| spl6_36
| spl6_285 ),
inference(unit_resulting_resolution,[],[f241,f2306,f165]) ).
tff(f3406,plain,
( spl6_421
| ~ spl6_23
| ~ spl6_88 ),
inference(avatar_split_clause,[],[f2697,f593,f176,f3404]) ).
tff(f3404,plain,
( spl6_421
<=> ! [X0: $int] :
( ~ $less(X0,$sum(c,summation(sK1(sK3,sK5,sK4))))
| ~ model_max(sK5,sK1(sK3,sK5,sK4),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_421])]) ).
tff(f2697,plain,
( ! [X0: $int] :
( ~ $less(X0,$sum(c,summation(sK1(sK3,sK5,sK4))))
| ~ model_max(sK5,sK1(sK3,sK5,sK4),X0) )
| ~ spl6_23
| ~ spl6_88 ),
inference(superposition,[],[f177,f595]) ).
tff(f3402,plain,
( spl6_420
| ~ spl6_30
| ~ spl6_111 ),
inference(avatar_split_clause,[],[f2238,f773,f205,f3400]) ).
tff(f3400,plain,
( spl6_420
<=> ! [X0: $int] : ~ ub(summation(sK4),X0,summation($sum(c,summation(sK5)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_420])]) ).
tff(f2238,plain,
( ! [X0: $int] : ~ ub(summation(sK4),X0,summation($sum(c,summation(sK5))))
| ~ spl6_30
| ~ spl6_111 ),
inference(unit_resulting_resolution,[],[f774,f206]) ).
tff(f3398,plain,
( spl6_419
| ~ spl6_20
| spl6_98
| spl6_140 ),
inference(avatar_split_clause,[],[f2608,f1030,f666,f164,f3395]) ).
tff(f3395,plain,
( spl6_419
<=> ub(summation(summation($sum(c,summation(sK3)))),summation(summation($sum(c,summation(sK5)))),summation(summation(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_419])]) ).
tff(f2608,plain,
( ub(summation(summation($sum(c,summation(sK3)))),summation(summation($sum(c,summation(sK5)))),summation(summation(sK4)))
| ~ spl6_20
| spl6_98
| spl6_140 ),
inference(unit_resulting_resolution,[],[f667,f1032,f165]) ).
tff(f3393,plain,
( ~ spl6_54
| ~ spl6_11
| spl6_64 ),
inference(avatar_split_clause,[],[f1938,f415,f128,f346]) ).
tff(f1938,plain,
( ~ $less(sK4,$sum(c,summation(sK1(sK3,sK5,sK4))))
| ~ spl6_11
| spl6_64 ),
inference(unit_resulting_resolution,[],[f417,f129]) ).
tff(f3392,plain,
( spl6_418
| ~ spl6_9
| ~ spl6_213 ),
inference(avatar_split_clause,[],[f2968,f1612,f120,f3390]) ).
tff(f3390,plain,
( spl6_418
<=> ! [X0: $int] : ~ ub(X0,summation($sum(c,summation(sK1(sK3,sK5,sK4)))),summation(sK2(sK3,sK5,sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_418])]) ).
tff(f2968,plain,
( ! [X0: $int] : ~ ub(X0,summation($sum(c,summation(sK1(sK3,sK5,sK4)))),summation(sK2(sK3,sK5,sK4)))
| ~ spl6_9
| ~ spl6_213 ),
inference(unit_resulting_resolution,[],[f1614,f121]) ).
tff(f3388,plain,
( spl6_417
| ~ spl6_20
| spl6_155
| spl6_285 ),
inference(avatar_split_clause,[],[f2753,f2304,f1150,f164,f3385]) ).
tff(f2753,plain,
( ub(sK2(sK3,sK3,sK4),$sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))),sK4)
| ~ spl6_20
| spl6_155
| spl6_285 ),
inference(unit_resulting_resolution,[],[f2306,f1152,f165]) ).
tff(f3383,plain,
( ~ spl6_50
| ~ spl6_11
| spl6_162 ),
inference(avatar_split_clause,[],[f2556,f1200,f128,f322]) ).
tff(f2556,plain,
( ~ $less(summation(sK3),summation(sK5))
| ~ spl6_11
| spl6_162 ),
inference(unit_resulting_resolution,[],[f1202,f129]) ).
tff(f3382,plain,
( spl6_416
| ~ spl6_20
| spl6_77 ),
inference(avatar_split_clause,[],[f2137,f509,f164,f3379]) ).
tff(f2137,plain,
( ub(summation(sK3),summation(sK3),summation(sK1(sK3,sK5,sK4)))
| ~ spl6_20
| spl6_77 ),
inference(unit_resulting_resolution,[],[f511,f511,f165]) ).
tff(f3377,plain,
( ~ spl6_415
| ~ spl6_10
| spl6_162 ),
inference(avatar_split_clause,[],[f2557,f1200,f124,f3374]) ).
tff(f3374,plain,
( spl6_415
<=> $less(summation(summation(summation(sK3))),summation(summation(summation(sK5)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_415])]) ).
tff(f2557,plain,
( ~ $less(summation(summation(summation(sK3))),summation(summation(summation(sK5))))
| ~ spl6_10
| spl6_162 ),
inference(unit_resulting_resolution,[],[f1202,f125]) ).
tff(f3372,plain,
( spl6_414
| ~ spl6_23
| ~ spl6_45 ),
inference(avatar_split_clause,[],[f1110,f290,f176,f3370]) ).
tff(f3370,plain,
( spl6_414
<=> ! [X0: $int] :
( ~ model_max(sK4,$sum(c,summation(max(sK3,sK5))),X0)
| ~ $less(X0,$sum(c,summation(sK4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_414])]) ).
tff(f290,plain,
( spl6_45
<=> ( max(sK4,$sum(c,summation(max(sK3,sK5)))) = sK4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_45])]) ).
tff(f1110,plain,
( ! [X0: $int] :
( ~ model_max(sK4,$sum(c,summation(max(sK3,sK5))),X0)
| ~ $less(X0,$sum(c,summation(sK4))) )
| ~ spl6_23
| ~ spl6_45 ),
inference(superposition,[],[f177,f292]) ).
tff(f292,plain,
( ( max(sK4,$sum(c,summation(max(sK3,sK5)))) = sK4 )
| ~ spl6_45 ),
inference(avatar_component_clause,[],[f290]) ).
tff(f3368,plain,
( spl6_413
| ~ spl6_23
| ~ spl6_80 ),
inference(avatar_split_clause,[],[f2672,f525,f176,f3366]) ).
tff(f3366,plain,
( spl6_413
<=> ! [X0: $int] :
( ~ model_max(sK3,sK1(sK3,sK5,sK4),X0)
| ~ $less(X0,$sum(c,summation(sK1(sK3,sK5,sK4)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_413])]) ).
tff(f2672,plain,
( ! [X0: $int] :
( ~ model_max(sK3,sK1(sK3,sK5,sK4),X0)
| ~ $less(X0,$sum(c,summation(sK1(sK3,sK5,sK4)))) )
| ~ spl6_23
| ~ spl6_80 ),
inference(superposition,[],[f177,f527]) ).
tff(f3364,plain,
( ~ spl6_54
| ~ spl6_9
| ~ spl6_85 ),
inference(avatar_split_clause,[],[f2832,f569,f120,f346]) ).
tff(f569,plain,
( spl6_85
<=> ub($sum(c,summation(sK3)),$sum(c,summation(sK1(sK3,sK5,sK4))),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_85])]) ).
tff(f2832,plain,
( ~ $less(sK4,$sum(c,summation(sK1(sK3,sK5,sK4))))
| ~ spl6_9
| ~ spl6_85 ),
inference(unit_resulting_resolution,[],[f571,f121]) ).
tff(f571,plain,
( ub($sum(c,summation(sK3)),$sum(c,summation(sK1(sK3,sK5,sK4))),sK4)
| ~ spl6_85 ),
inference(avatar_component_clause,[],[f569]) ).
tff(f3363,plain,
( spl6_411
| spl6_412
| ~ spl6_25
| ~ spl6_157 ),
inference(avatar_split_clause,[],[f3158,f1160,f184,f3360,f3356]) ).
tff(f3158,plain,
( ( sK2(sK3,sK5,sK4) = $sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))) )
| $less($sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))),sK2(sK3,sK5,sK4))
| ~ spl6_25
| ~ spl6_157 ),
inference(superposition,[],[f185,f1162]) ).
tff(f3354,plain,
( ~ spl6_410
| ~ spl6_11
| spl6_221 ),
inference(avatar_split_clause,[],[f2994,f1659,f128,f3351]) ).
tff(f3351,plain,
( spl6_410
<=> $less(sK1(sK3,sK5,sK4),sK1(sK3,sK5,sK2(sK3,sK5,sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_410])]) ).
tff(f2994,plain,
( ~ $less(sK1(sK3,sK5,sK4),sK1(sK3,sK5,sK2(sK3,sK5,sK4)))
| ~ spl6_11
| spl6_221 ),
inference(unit_resulting_resolution,[],[f1661,f129]) ).
tff(f3349,plain,
( spl6_400
| spl6_401
| ~ spl6_25
| ~ spl6_78 ),
inference(avatar_split_clause,[],[f2658,f514,f184,f3301,f3297]) ).
tff(f2658,plain,
( ( sK1(sK3,sK5,sK4) = sK3 )
| $less(sK3,sK1(sK3,sK5,sK4))
| ~ spl6_25
| ~ spl6_78 ),
inference(superposition,[],[f185,f516]) ).
tff(f3348,plain,
( spl6_400
| spl6_401
| ~ spl6_25
| ~ spl6_78 ),
inference(avatar_split_clause,[],[f2657,f514,f184,f3301,f3297]) ).
tff(f2657,plain,
( ( sK1(sK3,sK5,sK4) = sK3 )
| $less(sK3,sK1(sK3,sK5,sK4))
| ~ spl6_25
| ~ spl6_78 ),
inference(superposition,[],[f516,f185]) ).
tff(f3347,plain,
( spl6_409
| ~ spl6_11
| ~ spl6_132 ),
inference(avatar_split_clause,[],[f2281,f974,f128,f3344]) ).
tff(f3344,plain,
( spl6_409
<=> $less(summation(sK2(sK3,sK5,sK4)),summation($sum(c,summation(sK3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_409])]) ).
tff(f2281,plain,
( $less(summation(sK2(sK3,sK5,sK4)),summation($sum(c,summation(sK3))))
| ~ spl6_11
| ~ spl6_132 ),
inference(unit_resulting_resolution,[],[f976,f129]) ).
tff(f3342,plain,
( ~ spl6_389
| ~ spl6_10
| spl6_155 ),
inference(avatar_split_clause,[],[f2743,f1150,f124,f3241]) ).
tff(f3241,plain,
( spl6_389
<=> $less(summation(sK4),summation($sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_389])]) ).
tff(f2743,plain,
( ~ $less(summation(sK4),summation($sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4))))))
| ~ spl6_10
| spl6_155 ),
inference(unit_resulting_resolution,[],[f1152,f125]) ).
tff(f3341,plain,
( spl6_408
| ~ spl6_20
| spl6_77
| spl6_221 ),
inference(avatar_split_clause,[],[f2997,f1659,f509,f164,f3338]) ).
tff(f3338,plain,
( spl6_408
<=> ub(summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4))),summation(sK3),summation(sK1(sK3,sK5,sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_408])]) ).
tff(f2997,plain,
( ub(summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4))),summation(sK3),summation(sK1(sK3,sK5,sK4)))
| ~ spl6_20
| spl6_77
| spl6_221 ),
inference(unit_resulting_resolution,[],[f511,f1661,f165]) ).
tff(f3336,plain,
( spl6_310
| ~ spl6_20
| spl6_140 ),
inference(avatar_split_clause,[],[f2611,f1030,f164,f2529]) ).
tff(f2611,plain,
( ub(summation(summation($sum(c,summation(sK3)))),summation(summation($sum(c,summation(sK3)))),summation(summation(sK4)))
| ~ spl6_20
| spl6_140 ),
inference(unit_resulting_resolution,[],[f1032,f1032,f165]) ).
tff(f3335,plain,
( spl6_105
| ~ spl6_28
| ~ spl6_63
| spl6_104 ),
inference(avatar_split_clause,[],[f1936,f719,f410,f196,f723]) ).
tff(f410,plain,
( spl6_63
<=> ( max($sum(c,summation(sK1(sK3,sK5,sK4))),sK4) = sK4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_63])]) ).
tff(f1936,plain,
( $less($sum(c,summation(sK1(sK3,sK5,sK4))),sK4)
| ~ spl6_28
| ~ spl6_63
| spl6_104 ),
inference(subsumption_resolution,[],[f1926,f720]) ).
tff(f1926,plain,
( $less($sum(c,summation(sK1(sK3,sK5,sK4))),sK4)
| ( $sum(c,summation(sK1(sK3,sK5,sK4))) = sK4 )
| ~ spl6_28
| ~ spl6_63 ),
inference(superposition,[],[f412,f197]) ).
tff(f412,plain,
( ( max($sum(c,summation(sK1(sK3,sK5,sK4))),sK4) = sK4 )
| ~ spl6_63 ),
inference(avatar_component_clause,[],[f410]) ).
tff(f3334,plain,
( ~ spl6_407
| ~ spl6_4
| spl6_126
| ~ spl6_132 ),
inference(avatar_split_clause,[],[f2284,f974,f892,f99,f3331]) ).
tff(f3331,plain,
( spl6_407
<=> $less(summation(sK3),summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_407])]) ).
tff(f2284,plain,
( ~ $less(summation(sK3),summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4))))
| ~ spl6_4
| spl6_126
| ~ spl6_132 ),
inference(cancellation,[],[f2279]) ).
tff(f2279,plain,
( ~ $less($sum(c,summation(sK3)),$sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))))
| ~ spl6_4
| spl6_126
| ~ spl6_132 ),
inference(unit_resulting_resolution,[],[f894,f976,f100]) ).
tff(f3329,plain,
( ~ spl6_406
| ~ spl6_10
| spl6_158 ),
inference(avatar_split_clause,[],[f3079,f1166,f124,f3326]) ).
tff(f3326,plain,
( spl6_406
<=> $less(summation(summation(sK2(sK3,sK5,sK4))),summation(summation($sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_406])]) ).
tff(f3079,plain,
( ~ $less(summation(summation(sK2(sK3,sK5,sK4))),summation(summation($sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))))))
| ~ spl6_10
| spl6_158 ),
inference(unit_resulting_resolution,[],[f1168,f125]) ).
tff(f3324,plain,
( ~ spl6_405
| ~ spl6_10
| spl6_221 ),
inference(avatar_split_clause,[],[f2995,f1659,f124,f3321]) ).
tff(f3321,plain,
( spl6_405
<=> $less(summation(summation(sK1(sK3,sK5,sK4))),summation(summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_405])]) ).
tff(f2995,plain,
( ~ $less(summation(summation(sK1(sK3,sK5,sK4))),summation(summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))))
| ~ spl6_10
| spl6_221 ),
inference(unit_resulting_resolution,[],[f1661,f125]) ).
tff(f3319,plain,
( spl6_404
| ~ spl6_20
| spl6_36
| spl6_39 ),
inference(avatar_split_clause,[],[f919,f258,f239,f164,f3316]) ).
tff(f3316,plain,
( spl6_404
<=> ub($sum(c,summation(max(sK3,sK5))),$sum(c,summation(sK5)),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_404])]) ).
tff(f919,plain,
( ub($sum(c,summation(max(sK3,sK5))),$sum(c,summation(sK5)),sK4)
| ~ spl6_20
| spl6_36
| spl6_39 ),
inference(unit_resulting_resolution,[],[f241,f260,f165]) ).
tff(f3314,plain,
( ~ spl6_403
| ~ spl6_4
| spl6_39
| ~ spl6_200 ),
inference(avatar_split_clause,[],[f2459,f1449,f258,f99,f3311]) ).
tff(f2459,plain,
( ~ $less(sK4,sK2(sK3,sK5,sK4))
| ~ spl6_4
| spl6_39
| ~ spl6_200 ),
inference(unit_resulting_resolution,[],[f260,f1451,f100]) ).
tff(f3309,plain,
( ~ spl6_54
| ~ spl6_30
| ~ spl6_128 ),
inference(avatar_split_clause,[],[f2899,f931,f205,f346]) ).
tff(f931,plain,
( spl6_128
<=> ub($sum(c,summation(sK1(sK3,sK5,sK4))),$sum(c,summation(sK5)),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_128])]) ).
tff(f2899,plain,
( ~ $less(sK4,$sum(c,summation(sK1(sK3,sK5,sK4))))
| ~ spl6_30
| ~ spl6_128 ),
inference(unit_resulting_resolution,[],[f933,f206]) ).
tff(f933,plain,
( ub($sum(c,summation(sK1(sK3,sK5,sK4))),$sum(c,summation(sK5)),sK4)
| ~ spl6_128 ),
inference(avatar_component_clause,[],[f931]) ).
tff(f3308,plain,
( spl6_402
| ~ spl6_30
| ~ spl6_213 ),
inference(avatar_split_clause,[],[f2970,f1612,f205,f3306]) ).
tff(f3306,plain,
( spl6_402
<=> ! [X0: $int] : ~ ub(summation($sum(c,summation(sK1(sK3,sK5,sK4)))),X0,summation(sK2(sK3,sK5,sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_402])]) ).
tff(f2970,plain,
( ! [X0: $int] : ~ ub(summation($sum(c,summation(sK1(sK3,sK5,sK4)))),X0,summation(sK2(sK3,sK5,sK4)))
| ~ spl6_30
| ~ spl6_213 ),
inference(unit_resulting_resolution,[],[f1614,f206]) ).
tff(f3304,plain,
( spl6_400
| spl6_401
| ~ spl6_28
| ~ spl6_80 ),
inference(avatar_split_clause,[],[f2671,f525,f196,f3301,f3297]) ).
tff(f2671,plain,
( ( sK1(sK3,sK5,sK4) = sK3 )
| $less(sK3,sK1(sK3,sK5,sK4))
| ~ spl6_28
| ~ spl6_80 ),
inference(superposition,[],[f197,f527]) ).
tff(f3295,plain,
( spl6_399
| ~ spl6_20
| spl6_115 ),
inference(avatar_split_clause,[],[f2845,f797,f164,f3292]) ).
tff(f2845,plain,
( ub(summation(summation($sum(c,summation(sK1(sK3,sK5,sK4))))),summation(summation($sum(c,summation(sK1(sK3,sK5,sK4))))),summation(summation(sK4)))
| ~ spl6_20
| spl6_115 ),
inference(unit_resulting_resolution,[],[f799,f799,f165]) ).
tff(f3290,plain,
( spl6_398
| ~ spl6_28
| spl6_77 ),
inference(avatar_split_clause,[],[f2140,f509,f196,f3287]) ).
tff(f3287,plain,
( spl6_398
<=> ( max(summation(sK1(sK3,sK5,sK4)),summation(sK3)) = summation(sK1(sK3,sK5,sK4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_398])]) ).
tff(f2140,plain,
( ( max(summation(sK1(sK3,sK5,sK4)),summation(sK3)) = summation(sK1(sK3,sK5,sK4)) )
| ~ spl6_28
| spl6_77 ),
inference(unit_resulting_resolution,[],[f511,f197]) ).
tff(f3285,plain,
( spl6_397
| ~ spl6_9
| ~ spl6_92 ),
inference(avatar_split_clause,[],[f2499,f626,f120,f3283]) ).
tff(f3283,plain,
( spl6_397
<=> ! [X0: $int] : ~ ub(X0,summation(summation(sK1(sK3,sK5,sK4))),summation(summation(sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_397])]) ).
tff(f2499,plain,
( ! [X0: $int] : ~ ub(X0,summation(summation(sK1(sK3,sK5,sK4))),summation(summation(sK5)))
| ~ spl6_9
| ~ spl6_92 ),
inference(unit_resulting_resolution,[],[f627,f121]) ).
tff(f3281,plain,
( spl6_396
| ~ spl6_20
| spl6_37
| spl6_64 ),
inference(avatar_split_clause,[],[f1944,f415,f246,f164,f3278]) ).
tff(f3278,plain,
( spl6_396
<=> ub(summation($sum(c,summation(max(sK3,sK5)))),summation($sum(c,summation(sK1(sK3,sK5,sK4)))),summation(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_396])]) ).
tff(f1944,plain,
( ub(summation($sum(c,summation(max(sK3,sK5)))),summation($sum(c,summation(sK1(sK3,sK5,sK4)))),summation(sK4))
| ~ spl6_20
| spl6_37
| spl6_64 ),
inference(unit_resulting_resolution,[],[f248,f417,f165]) ).
tff(f3276,plain,
( spl6_199
| ~ spl6_23
| ~ spl6_103 ),
inference(avatar_split_clause,[],[f2211,f709,f176,f1439]) ).
tff(f1439,plain,
( spl6_199
<=> ! [X0: $int] :
( ~ $less(X0,$sum(c,summation(sK4)))
| ~ model_max(sK4,$sum(c,summation(sK5)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_199])]) ).
tff(f709,plain,
( spl6_103
<=> ( max(sK4,$sum(c,summation(sK5))) = sK4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_103])]) ).
tff(f2211,plain,
( ! [X0: $int] :
( ~ $less(X0,$sum(c,summation(sK4)))
| ~ model_max(sK4,$sum(c,summation(sK5)),X0) )
| ~ spl6_23
| ~ spl6_103 ),
inference(superposition,[],[f177,f710]) ).
tff(f710,plain,
( ( max(sK4,$sum(c,summation(sK5))) = sK4 )
| ~ spl6_103 ),
inference(avatar_component_clause,[],[f709]) ).
tff(f3275,plain,
( spl6_394
| spl6_395
| ~ spl6_28
| ~ spl6_116 ),
inference(avatar_split_clause,[],[f2950,f802,f196,f3272,f3268]) ).
tff(f2950,plain,
( ( summation($sum(c,summation(sK1(sK3,sK5,sK4)))) = summation(sK4) )
| $less(summation($sum(c,summation(sK1(sK3,sK5,sK4)))),summation(sK4))
| ~ spl6_28
| ~ spl6_116 ),
inference(superposition,[],[f804,f197]) ).
tff(f3266,plain,
( spl6_312
| ~ spl6_25
| spl6_140 ),
inference(avatar_split_clause,[],[f2612,f1030,f184,f2541]) ).
tff(f2541,plain,
( spl6_312
<=> ( max(summation(summation($sum(c,summation(sK3)))),summation(summation(sK4))) = summation(summation(sK4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_312])]) ).
tff(f2612,plain,
( ( max(summation(summation($sum(c,summation(sK3)))),summation(summation(sK4))) = summation(summation(sK4)) )
| ~ spl6_25
| spl6_140 ),
inference(unit_resulting_resolution,[],[f1032,f185]) ).
tff(f3265,plain,
( spl6_393
| ~ spl6_20
| spl6_90
| spl6_221 ),
inference(avatar_split_clause,[],[f2998,f1659,f603,f164,f3262]) ).
tff(f3262,plain,
( spl6_393
<=> ub(summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4))),summation(sK5),summation(sK1(sK3,sK5,sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_393])]) ).
tff(f2998,plain,
( ub(summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4))),summation(sK5),summation(sK1(sK3,sK5,sK4)))
| ~ spl6_20
| spl6_90
| spl6_221 ),
inference(unit_resulting_resolution,[],[f605,f1661,f165]) ).
tff(f3260,plain,
( spl6_392
| ~ spl6_23
| ~ spl6_116 ),
inference(avatar_split_clause,[],[f2952,f802,f176,f3258]) ).
tff(f3258,plain,
( spl6_392
<=> ! [X0: $int] :
( ~ model_max(summation($sum(c,summation(sK1(sK3,sK5,sK4)))),summation(sK4),X0)
| ~ $less(X0,$sum(c,summation(summation(sK4)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_392])]) ).
tff(f2952,plain,
( ! [X0: $int] :
( ~ model_max(summation($sum(c,summation(sK1(sK3,sK5,sK4)))),summation(sK4),X0)
| ~ $less(X0,$sum(c,summation(summation(sK4)))) )
| ~ spl6_23
| ~ spl6_116 ),
inference(superposition,[],[f177,f804]) ).
tff(f3256,plain,
( ~ spl6_391
| ~ spl6_4
| spl6_126
| ~ spl6_200 ),
inference(avatar_split_clause,[],[f2466,f1449,f892,f99,f3253]) ).
tff(f3253,plain,
( spl6_391
<=> $less(summation(sK5),summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_391])]) ).
tff(f2466,plain,
( ~ $less(summation(sK5),summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4))))
| ~ spl6_4
| spl6_126
| ~ spl6_200 ),
inference(cancellation,[],[f2461]) ).
tff(f2461,plain,
( ~ $less($sum(c,summation(sK5)),$sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))))
| ~ spl6_4
| spl6_126
| ~ spl6_200 ),
inference(unit_resulting_resolution,[],[f894,f1451,f100]) ).
tff(f3251,plain,
( spl6_147
| spl6_38
| ~ spl6_28
| ~ spl6_68 ),
inference(avatar_split_clause,[],[f2003,f448,f196,f254,f1078]) ).
tff(f1078,plain,
( spl6_147
<=> ( sK3 = sK5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_147])]) ).
tff(f448,plain,
( spl6_68
<=> ( sK3 = max(sK5,sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_68])]) ).
tff(f2003,plain,
( $less(sK5,sK3)
| ( sK3 = sK5 )
| ~ spl6_28
| ~ spl6_68 ),
inference(superposition,[],[f450,f197]) ).
tff(f450,plain,
( ( sK3 = max(sK5,sK3) )
| ~ spl6_68 ),
inference(avatar_component_clause,[],[f448]) ).
tff(f3250,plain,
( spl6_390
| ~ spl6_20
| spl6_36
| spl6_155 ),
inference(avatar_split_clause,[],[f2744,f1150,f239,f164,f3247]) ).
tff(f3247,plain,
( spl6_390
<=> ub($sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))),$sum(c,summation(max(sK3,sK5))),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_390])]) ).
tff(f2744,plain,
( ub($sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))),$sum(c,summation(max(sK3,sK5))),sK4)
| ~ spl6_20
| spl6_36
| spl6_155 ),
inference(unit_resulting_resolution,[],[f241,f1152,f165]) ).
tff(f3245,plain,
( spl6_38
| spl6_147
| ~ spl6_28
| ~ spl6_68 ),
inference(avatar_split_clause,[],[f2005,f448,f196,f1078,f254]) ).
tff(f2005,plain,
( ( sK3 = sK5 )
| $less(sK5,sK3)
| ~ spl6_28
| ~ spl6_68 ),
inference(superposition,[],[f197,f450]) ).
tff(f3244,plain,
( ~ spl6_389
| ~ spl6_4
| ~ spl6_121
| spl6_158 ),
inference(avatar_split_clause,[],[f3077,f1166,f859,f99,f3241]) ).
tff(f859,plain,
( spl6_121
<=> $less(summation(sK2(sK3,sK5,sK4)),summation(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_121])]) ).
tff(f3077,plain,
( ~ $less(summation(sK4),summation($sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4))))))
| ~ spl6_4
| ~ spl6_121
| spl6_158 ),
inference(unit_resulting_resolution,[],[f861,f1168,f100]) ).
tff(f861,plain,
( $less(summation(sK2(sK3,sK5,sK4)),summation(sK4))
| ~ spl6_121 ),
inference(avatar_component_clause,[],[f859]) ).
tff(f3239,plain,
( spl6_388
| ~ spl6_9
| ~ spl6_136 ),
inference(avatar_split_clause,[],[f2581,f1000,f120,f3237]) ).
tff(f3237,plain,
( spl6_388
<=> ! [X0: $int] : ~ ub(X0,summation(summation(sK4)),summation(summation(sK2(sK3,sK5,sK4)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_388])]) ).
tff(f2581,plain,
( ! [X0: $int] : ~ ub(X0,summation(summation(sK4)),summation(summation(sK2(sK3,sK5,sK4))))
| ~ spl6_9
| ~ spl6_136 ),
inference(unit_resulting_resolution,[],[f1002,f121]) ).
tff(f3235,plain,
( spl6_105
| ~ spl6_25
| ~ spl6_62
| spl6_104 ),
inference(avatar_split_clause,[],[f1923,f719,f405,f184,f723]) ).
tff(f1923,plain,
( $less($sum(c,summation(sK1(sK3,sK5,sK4))),sK4)
| ~ spl6_25
| ~ spl6_62
| spl6_104 ),
inference(subsumption_resolution,[],[f1914,f720]) ).
tff(f1914,plain,
( ( $sum(c,summation(sK1(sK3,sK5,sK4))) = sK4 )
| $less($sum(c,summation(sK1(sK3,sK5,sK4))),sK4)
| ~ spl6_25
| ~ spl6_62 ),
inference(superposition,[],[f185,f407]) ).
tff(f3234,plain,
( spl6_387
| ~ spl6_30
| ~ spl6_200 ),
inference(avatar_split_clause,[],[f2464,f1449,f205,f3232]) ).
tff(f3232,plain,
( spl6_387
<=> ! [X0: $int] : ~ ub($sum(c,summation(sK5)),X0,sK2(sK3,sK5,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_387])]) ).
tff(f2464,plain,
( ! [X0: $int] : ~ ub($sum(c,summation(sK5)),X0,sK2(sK3,sK5,sK4))
| ~ spl6_30
| ~ spl6_200 ),
inference(unit_resulting_resolution,[],[f1451,f206]) ).
tff(f3230,plain,
( spl6_386
| ~ spl6_28
| spl6_90 ),
inference(avatar_split_clause,[],[f2186,f603,f196,f3227]) ).
tff(f3227,plain,
( spl6_386
<=> ( max(summation(sK1(sK3,sK5,sK4)),summation(sK5)) = summation(sK1(sK3,sK5,sK4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_386])]) ).
tff(f2186,plain,
( ( max(summation(sK1(sK3,sK5,sK4)),summation(sK5)) = summation(sK1(sK3,sK5,sK4)) )
| ~ spl6_28
| spl6_90 ),
inference(unit_resulting_resolution,[],[f605,f197]) ).
tff(f3225,plain,
( spl6_385
| ~ spl6_20
| spl6_98
| spl6_115 ),
inference(avatar_split_clause,[],[f2843,f797,f666,f164,f3222]) ).
tff(f3222,plain,
( spl6_385
<=> ub(summation(summation($sum(c,summation(sK1(sK3,sK5,sK4))))),summation(summation($sum(c,summation(sK5)))),summation(summation(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_385])]) ).
tff(f2843,plain,
( ub(summation(summation($sum(c,summation(sK1(sK3,sK5,sK4))))),summation(summation($sum(c,summation(sK5)))),summation(summation(sK4)))
| ~ spl6_20
| spl6_98
| spl6_115 ),
inference(unit_resulting_resolution,[],[f667,f799,f165]) ).
tff(f3220,plain,
( spl6_238
| ~ spl6_30
| ~ spl6_236 ),
inference(avatar_split_clause,[],[f2207,f1805,f205,f1816]) ).
tff(f1816,plain,
( spl6_238
<=> ! [X0: $int] : ~ ub(sK4,X0,sK2(sK3,sK3,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_238])]) ).
tff(f2207,plain,
( ! [X0: $int] : ~ ub(sK4,X0,sK2(sK3,sK3,sK4))
| ~ spl6_30
| ~ spl6_236 ),
inference(unit_resulting_resolution,[],[f1807,f206]) ).
tff(f3219,plain,
( spl6_384
| ~ spl6_20
| spl6_90 ),
inference(avatar_split_clause,[],[f2182,f603,f164,f3216]) ).
tff(f2182,plain,
( ub(summation(sK5),summation(sK5),summation(sK1(sK3,sK5,sK4)))
| ~ spl6_20
| spl6_90 ),
inference(unit_resulting_resolution,[],[f605,f605,f165]) ).
tff(f3214,plain,
( spl6_113
| ~ spl6_20
| spl6_64 ),
inference(avatar_split_clause,[],[f1942,f415,f164,f784]) ).
tff(f784,plain,
( spl6_113
<=> ub(summation($sum(c,summation(sK1(sK3,sK5,sK4)))),summation($sum(c,summation(sK1(sK3,sK5,sK4)))),summation(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_113])]) ).
tff(f1942,plain,
( ub(summation($sum(c,summation(sK1(sK3,sK5,sK4)))),summation($sum(c,summation(sK1(sK3,sK5,sK4)))),summation(sK4))
| ~ spl6_20
| spl6_64 ),
inference(unit_resulting_resolution,[],[f417,f417,f165]) ).
tff(f3213,plain,
( spl6_383
| ~ spl6_20
| spl6_36
| spl6_285 ),
inference(avatar_split_clause,[],[f2318,f2304,f239,f164,f3210]) ).
tff(f3210,plain,
( spl6_383
<=> ub(sK2(sK3,sK3,sK4),$sum(c,summation(max(sK3,sK5))),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_383])]) ).
tff(f2318,plain,
( ub(sK2(sK3,sK3,sK4),$sum(c,summation(max(sK3,sK5))),sK4)
| ~ spl6_20
| spl6_36
| spl6_285 ),
inference(unit_resulting_resolution,[],[f241,f2306,f165]) ).
tff(f3208,plain,
( ~ spl6_382
| ~ spl6_4
| spl6_64
| ~ spl6_213 ),
inference(avatar_split_clause,[],[f2967,f1612,f415,f99,f3205]) ).
tff(f3205,plain,
( spl6_382
<=> $less(summation(sK4),summation(sK2(sK3,sK5,sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_382])]) ).
tff(f2967,plain,
( ~ $less(summation(sK4),summation(sK2(sK3,sK5,sK4)))
| ~ spl6_4
| spl6_64
| ~ spl6_213 ),
inference(unit_resulting_resolution,[],[f417,f1614,f100]) ).
tff(f3203,plain,
( spl6_381
| ~ spl6_13
| ~ spl6_79
| spl6_234 ),
inference(avatar_split_clause,[],[f1895,f1763,f519,f136,f3200]) ).
tff(f3200,plain,
( spl6_381
<=> $less(sK2(sK3,sK3,sK4),$sum(c,summation(sK1(sK3,sK5,sK4)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_381])]) ).
tff(f519,plain,
( spl6_79
<=> ub(sK3,sK3,sK1(sK3,sK5,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_79])]) ).
tff(f1895,plain,
( $less(sK2(sK3,sK3,sK4),$sum(c,summation(sK1(sK3,sK5,sK4))))
| ~ spl6_13
| ~ spl6_79
| spl6_234 ),
inference(unit_resulting_resolution,[],[f521,f1765,f137]) ).
tff(f521,plain,
( ub(sK3,sK3,sK1(sK3,sK5,sK4))
| ~ spl6_79 ),
inference(avatar_component_clause,[],[f519]) ).
tff(f3198,plain,
( spl6_380
| ~ spl6_20
| spl6_77
| spl6_90 ),
inference(avatar_split_clause,[],[f2183,f603,f509,f164,f3195]) ).
tff(f3195,plain,
( spl6_380
<=> ub(summation(sK3),summation(sK5),summation(sK1(sK3,sK5,sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_380])]) ).
tff(f2183,plain,
( ub(summation(sK3),summation(sK5),summation(sK1(sK3,sK5,sK4)))
| ~ spl6_20
| spl6_77
| spl6_90 ),
inference(unit_resulting_resolution,[],[f511,f605,f165]) ).
tff(f3193,plain,
( ~ spl6_13
| ~ spl6_67
| ~ spl6_147
| spl6_233 ),
inference(avatar_contradiction_clause,[],[f3192]) ).
tff(f3192,plain,
( $false
| ~ spl6_13
| ~ spl6_67
| ~ spl6_147
| spl6_233 ),
inference(evaluation,[],[f3191]) ).
tff(f3191,plain,
( $less(0,0)
| ~ spl6_13
| ~ spl6_67
| ~ spl6_147
| spl6_233 ),
inference(cancellation,[],[f3190]) ).
tff(f3190,plain,
( $less(summation(sK3),summation(sK3))
| ~ spl6_13
| ~ spl6_67
| ~ spl6_147
| spl6_233 ),
inference(forward_demodulation,[],[f3185,f1079]) ).
tff(f1079,plain,
( ( sK3 = sK5 )
| ~ spl6_147 ),
inference(avatar_component_clause,[],[f1078]) ).
tff(f3185,plain,
( $less(summation(sK3),summation(sK5))
| ~ spl6_13
| ~ spl6_67
| spl6_233 ),
inference(cancellation,[],[f3183]) ).
tff(f3183,plain,
( $less($sum(c,summation(sK3)),$sum(c,summation(sK5)))
| ~ spl6_13
| ~ spl6_67
| spl6_233 ),
inference(unit_resulting_resolution,[],[f439,f1757,f137]) ).
tff(f1757,plain,
( ~ model_ub(sK3,sK3,$sum(c,summation(sK3)))
| spl6_233 ),
inference(avatar_component_clause,[],[f1755]) ).
tff(f1755,plain,
( spl6_233
<=> model_ub(sK3,sK3,$sum(c,summation(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_233])]) ).
tff(f439,plain,
( ub(sK3,sK3,sK5)
| ~ spl6_67 ),
inference(avatar_component_clause,[],[f437]) ).
tff(f437,plain,
( spl6_67
<=> ub(sK3,sK3,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_67])]) ).
tff(f3188,plain,
( ~ spl6_13
| ~ spl6_227
| spl6_233 ),
inference(avatar_contradiction_clause,[],[f3187]) ).
tff(f3187,plain,
( $false
| ~ spl6_13
| ~ spl6_227
| spl6_233 ),
inference(evaluation,[],[f3186]) ).
tff(f3186,plain,
( $less(0,0)
| ~ spl6_13
| ~ spl6_227
| spl6_233 ),
inference(cancellation,[],[f3182]) ).
tff(f3182,plain,
( $less($sum(c,summation(sK3)),$sum(c,summation(sK3)))
| ~ spl6_13
| ~ spl6_227
| spl6_233 ),
inference(unit_resulting_resolution,[],[f1713,f1757,f137]) ).
tff(f1713,plain,
( ub(sK3,sK3,sK3)
| ~ spl6_227 ),
inference(avatar_component_clause,[],[f1711]) ).
tff(f1711,plain,
( spl6_227
<=> ub(sK3,sK3,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_227])]) ).
tff(f3180,plain,
( spl6_379
| ~ spl6_147
| ~ spl6_156 ),
inference(avatar_split_clause,[],[f3175,f1155,f1078,f3177]) ).
tff(f3177,plain,
( spl6_379
<=> ub($sum(c,summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4)))),$sum(c,summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4)))),sK2(sK3,sK3,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_379])]) ).
tff(f1155,plain,
( spl6_156
<=> ub($sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))),$sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))),sK2(sK3,sK5,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_156])]) ).
tff(f3175,plain,
( ub($sum(c,summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4)))),$sum(c,summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4)))),sK2(sK3,sK3,sK4))
| ~ spl6_147
| ~ spl6_156 ),
inference(superposition,[],[f1157,f1079]) ).
tff(f1157,plain,
( ub($sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))),$sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))),sK2(sK3,sK5,sK4))
| ~ spl6_156 ),
inference(avatar_component_clause,[],[f1155]) ).
tff(f3170,plain,
( spl6_378
| ~ spl6_147
| ~ spl6_157 ),
inference(avatar_split_clause,[],[f3156,f1160,f1078,f3167]) ).
tff(f3167,plain,
( spl6_378
<=> ( max(sK2(sK3,sK3,sK4),$sum(c,summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4))))) = sK2(sK3,sK3,sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_378])]) ).
tff(f3156,plain,
( ( max(sK2(sK3,sK3,sK4),$sum(c,summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4))))) = sK2(sK3,sK3,sK4) )
| ~ spl6_147
| ~ spl6_157 ),
inference(superposition,[],[f1162,f1079]) ).
tff(f3165,plain,
( spl6_377
| ~ spl6_23
| ~ spl6_147
| ~ spl6_157 ),
inference(avatar_split_clause,[],[f3161,f1160,f1078,f176,f3163]) ).
tff(f3163,plain,
( spl6_377
<=> ! [X0: $int] :
( ~ $less(X0,$sum(c,summation(sK2(sK3,sK3,sK4))))
| ~ model_max(sK2(sK3,sK3,sK4),$sum(c,summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4)))),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_377])]) ).
tff(f3161,plain,
( ! [X0: $int] :
( ~ $less(X0,$sum(c,summation(sK2(sK3,sK3,sK4))))
| ~ model_max(sK2(sK3,sK3,sK4),$sum(c,summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4)))),X0) )
| ~ spl6_23
| ~ spl6_147
| ~ spl6_157 ),
inference(forward_demodulation,[],[f3160,f1079]) ).
tff(f3160,plain,
( ! [X0: $int] :
( ~ model_max(sK2(sK3,sK3,sK4),$sum(c,summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4)))),X0)
| ~ $less(X0,$sum(c,summation(sK2(sK3,sK5,sK4)))) )
| ~ spl6_23
| ~ spl6_147
| ~ spl6_157 ),
inference(forward_demodulation,[],[f3159,f1079]) ).
tff(f3155,plain,
( spl6_375
| spl6_374
| ~ spl6_28
| ~ spl6_147
| ~ spl6_154 ),
inference(avatar_split_clause,[],[f3154,f1145,f1078,f196,f3139,f3143]) ).
tff(f3143,plain,
( spl6_375
<=> ( $sum(c,summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4)))) = sK2(sK3,sK3,sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_375])]) ).
tff(f3139,plain,
( spl6_374
<=> $less($sum(c,summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4)))),sK2(sK3,sK3,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_374])]) ).
tff(f3154,plain,
( $less($sum(c,summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4)))),sK2(sK3,sK3,sK4))
| ( $sum(c,summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4)))) = sK2(sK3,sK3,sK4) )
| ~ spl6_28
| ~ spl6_147
| ~ spl6_154 ),
inference(forward_demodulation,[],[f3153,f1079]) ).
tff(f3153,plain,
( ( sK2(sK3,sK5,sK4) = $sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))) )
| $less($sum(c,summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4)))),sK2(sK3,sK3,sK4))
| ~ spl6_28
| ~ spl6_147
| ~ spl6_154 ),
inference(forward_demodulation,[],[f3128,f1079]) ).
tff(f3152,plain,
( spl6_376
| ~ spl6_23
| ~ spl6_147
| ~ spl6_154 ),
inference(avatar_split_clause,[],[f3148,f1145,f1078,f176,f3150]) ).
tff(f3150,plain,
( spl6_376
<=> ! [X0: $int] :
( ~ model_max($sum(c,summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4)))),sK2(sK3,sK3,sK4),X0)
| ~ $less(X0,$sum(c,summation(sK2(sK3,sK3,sK4)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_376])]) ).
tff(f3148,plain,
( ! [X0: $int] :
( ~ model_max($sum(c,summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4)))),sK2(sK3,sK3,sK4),X0)
| ~ $less(X0,$sum(c,summation(sK2(sK3,sK3,sK4)))) )
| ~ spl6_23
| ~ spl6_147
| ~ spl6_154 ),
inference(forward_demodulation,[],[f3147,f1079]) ).
tff(f3147,plain,
( ! [X0: $int] :
( ~ model_max($sum(c,summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4)))),sK2(sK3,sK3,sK4),X0)
| ~ $less(X0,$sum(c,summation(sK2(sK3,sK5,sK4)))) )
| ~ spl6_23
| ~ spl6_147
| ~ spl6_154 ),
inference(forward_demodulation,[],[f3130,f1079]) ).
tff(f3146,plain,
( spl6_374
| spl6_375
| ~ spl6_28
| ~ spl6_147
| ~ spl6_154 ),
inference(avatar_split_clause,[],[f3137,f1145,f1078,f196,f3143,f3139]) ).
tff(f3137,plain,
( ( $sum(c,summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4)))) = sK2(sK3,sK3,sK4) )
| $less($sum(c,summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4)))),sK2(sK3,sK3,sK4))
| ~ spl6_28
| ~ spl6_147
| ~ spl6_154 ),
inference(forward_demodulation,[],[f3136,f1079]) ).
tff(f3136,plain,
( ( sK2(sK3,sK5,sK4) = $sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))) )
| $less($sum(c,summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4)))),sK2(sK3,sK3,sK4))
| ~ spl6_28
| ~ spl6_147
| ~ spl6_154 ),
inference(forward_demodulation,[],[f3129,f1079]) ).
tff(f3135,plain,
( spl6_373
| ~ spl6_147
| ~ spl6_154 ),
inference(avatar_split_clause,[],[f3127,f1145,f1078,f3132]) ).
tff(f3132,plain,
( spl6_373
<=> ( max($sum(c,summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4)))),sK2(sK3,sK3,sK4)) = sK2(sK3,sK3,sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_373])]) ).
tff(f3127,plain,
( ( max($sum(c,summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4)))),sK2(sK3,sK3,sK4)) = sK2(sK3,sK3,sK4) )
| ~ spl6_147
| ~ spl6_154 ),
inference(superposition,[],[f1147,f1079]) ).
tff(f3124,plain,
( spl6_372
| ~ spl6_25
| ~ spl6_147
| spl6_158 ),
inference(avatar_split_clause,[],[f3119,f1166,f1078,f184,f3121]) ).
tff(f3121,plain,
( spl6_372
<=> ( summation(sK2(sK3,sK3,sK4)) = max(summation($sum(c,summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4))))),summation(sK2(sK3,sK3,sK4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_372])]) ).
tff(f3119,plain,
( ( summation(sK2(sK3,sK3,sK4)) = max(summation($sum(c,summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4))))),summation(sK2(sK3,sK3,sK4))) )
| ~ spl6_25
| ~ spl6_147
| spl6_158 ),
inference(forward_demodulation,[],[f3084,f1079]) ).
tff(f3118,plain,
( spl6_369
| ~ spl6_20
| ~ spl6_147
| spl6_158 ),
inference(avatar_split_clause,[],[f3117,f1166,f1078,f164,f3101]) ).
tff(f3101,plain,
( spl6_369
<=> ub(summation($sum(c,summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4))))),summation($sum(c,summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4))))),summation(sK2(sK3,sK3,sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_369])]) ).
tff(f3117,plain,
( ub(summation($sum(c,summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4))))),summation($sum(c,summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4))))),summation(sK2(sK3,sK3,sK4)))
| ~ spl6_20
| ~ spl6_147
| spl6_158 ),
inference(forward_demodulation,[],[f3082,f1079]) ).
tff(f3116,plain,
( ~ spl6_371
| ~ spl6_4
| ~ spl6_147
| spl6_158
| ~ spl6_213 ),
inference(avatar_split_clause,[],[f3111,f1612,f1166,f1078,f99,f3113]) ).
tff(f3113,plain,
( spl6_371
<=> $less(summation($sum(c,summation(sK1(sK3,sK3,sK4)))),summation($sum(c,summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_371])]) ).
tff(f3111,plain,
( ~ $less(summation($sum(c,summation(sK1(sK3,sK3,sK4)))),summation($sum(c,summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4))))))
| ~ spl6_4
| ~ spl6_147
| spl6_158
| ~ spl6_213 ),
inference(forward_demodulation,[],[f3078,f1079]) ).
tff(f3110,plain,
( ~ spl6_370
| ~ spl6_147
| spl6_158 ),
inference(avatar_split_clause,[],[f3086,f1166,f1078,f3107]) ).
tff(f3107,plain,
( spl6_370
<=> $less(summation(sK2(sK3,sK3,sK4)),summation($sum(c,summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_370])]) ).
tff(f3086,plain,
( ~ $less(summation(sK2(sK3,sK3,sK4)),summation($sum(c,summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4))))))
| ~ spl6_147
| spl6_158 ),
inference(superposition,[],[f1168,f1079]) ).
tff(f3104,plain,
( spl6_369
| ~ spl6_20
| ~ spl6_147
| spl6_158 ),
inference(avatar_split_clause,[],[f3099,f1166,f1078,f164,f3101]) ).
tff(f3099,plain,
( ub(summation($sum(c,summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4))))),summation($sum(c,summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4))))),summation(sK2(sK3,sK3,sK4)))
| ~ spl6_20
| ~ spl6_147
| spl6_158 ),
inference(forward_demodulation,[],[f3080,f1079]) ).
tff(f3098,plain,
( ~ spl6_368
| ~ spl6_10
| ~ spl6_147
| spl6_158 ),
inference(avatar_split_clause,[],[f3093,f1166,f1078,f124,f3095]) ).
tff(f3095,plain,
( spl6_368
<=> $less(summation(summation(sK2(sK3,sK3,sK4))),summation(summation($sum(c,summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_368])]) ).
tff(f3093,plain,
( ~ $less(summation(summation(sK2(sK3,sK3,sK4))),summation(summation($sum(c,summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4)))))))
| ~ spl6_10
| ~ spl6_147
| spl6_158 ),
inference(forward_demodulation,[],[f3079,f1079]) ).
tff(f3092,plain,
( spl6_367
| ~ spl6_28
| ~ spl6_147
| spl6_158 ),
inference(avatar_split_clause,[],[f3087,f1166,f1078,f196,f3089]) ).
tff(f3089,plain,
( spl6_367
<=> ( summation(sK2(sK3,sK3,sK4)) = max(summation(sK2(sK3,sK3,sK4)),summation($sum(c,summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_367])]) ).
tff(f3087,plain,
( ( summation(sK2(sK3,sK3,sK4)) = max(summation(sK2(sK3,sK3,sK4)),summation($sum(c,summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4)))))) )
| ~ spl6_28
| ~ spl6_147
| spl6_158 ),
inference(forward_demodulation,[],[f3085,f1079]) ).
tff(f3072,plain,
( spl6_366
| ~ spl6_139
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f3067,f1078,f1024,f3069]) ).
tff(f3069,plain,
( spl6_366
<=> ub(summation($sum(c,summation(sK1(sK3,sK3,sK4)))),summation($sum(c,summation(sK3))),summation(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_366])]) ).
tff(f1024,plain,
( spl6_139
<=> ub(summation($sum(c,summation(sK1(sK3,sK5,sK4)))),summation($sum(c,summation(sK3))),summation(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_139])]) ).
tff(f3067,plain,
( ub(summation($sum(c,summation(sK1(sK3,sK3,sK4)))),summation($sum(c,summation(sK3))),summation(sK4))
| ~ spl6_139
| ~ spl6_147 ),
inference(superposition,[],[f1026,f1079]) ).
tff(f1026,plain,
( ub(summation($sum(c,summation(sK1(sK3,sK5,sK4)))),summation($sum(c,summation(sK3))),summation(sK4))
| ~ spl6_139 ),
inference(avatar_component_clause,[],[f1024]) ).
tff(f3064,plain,
( spl6_365
| ~ spl6_23
| ~ spl6_224 ),
inference(avatar_split_clause,[],[f3060,f1691,f176,f3062]) ).
tff(f3062,plain,
( spl6_365
<=> ! [X0: $int] :
( ~ model_max(summation(sK4),summation($sum(c,summation(sK1(sK3,sK3,sK4)))),X0)
| ~ $less(X0,$sum(c,summation(summation(sK4)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_365])]) ).
tff(f1691,plain,
( spl6_224
<=> ( max(summation(sK4),summation($sum(c,summation(sK1(sK3,sK3,sK4))))) = summation(sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_224])]) ).
tff(f3060,plain,
( ! [X0: $int] :
( ~ model_max(summation(sK4),summation($sum(c,summation(sK1(sK3,sK3,sK4)))),X0)
| ~ $less(X0,$sum(c,summation(summation(sK4)))) )
| ~ spl6_23
| ~ spl6_224 ),
inference(superposition,[],[f177,f1693]) ).
tff(f1693,plain,
( ( max(summation(sK4),summation($sum(c,summation(sK1(sK3,sK3,sK4))))) = summation(sK4) )
| ~ spl6_224 ),
inference(avatar_component_clause,[],[f1691]) ).
tff(f3057,plain,
( spl6_358
| ~ spl6_20
| spl6_90
| ~ spl6_147
| spl6_221 ),
inference(avatar_split_clause,[],[f3056,f1659,f1078,f603,f164,f3013]) ).
tff(f3013,plain,
( spl6_358
<=> ub(summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4))),summation(sK3),summation(sK1(sK3,sK3,sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_358])]) ).
tff(f3056,plain,
( ub(summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4))),summation(sK3),summation(sK1(sK3,sK3,sK4)))
| ~ spl6_20
| spl6_90
| ~ spl6_147
| spl6_221 ),
inference(forward_demodulation,[],[f2998,f1079]) ).
tff(f3055,plain,
( ~ spl6_364
| ~ spl6_11
| ~ spl6_147
| spl6_221 ),
inference(avatar_split_clause,[],[f3050,f1659,f1078,f128,f3052]) ).
tff(f3052,plain,
( spl6_364
<=> $less(sK1(sK3,sK3,sK4),sK1(sK3,sK3,sK2(sK3,sK3,sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_364])]) ).
tff(f3050,plain,
( ~ $less(sK1(sK3,sK3,sK4),sK1(sK3,sK3,sK2(sK3,sK3,sK4)))
| ~ spl6_11
| ~ spl6_147
| spl6_221 ),
inference(forward_demodulation,[],[f2994,f1079]) ).
tff(f3049,plain,
( spl6_357
| ~ spl6_20
| spl6_90
| ~ spl6_147
| spl6_221 ),
inference(avatar_split_clause,[],[f3048,f1659,f1078,f603,f164,f3007]) ).
tff(f3007,plain,
( spl6_357
<=> ub(summation(sK3),summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4))),summation(sK1(sK3,sK3,sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_357])]) ).
tff(f3048,plain,
( ub(summation(sK3),summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4))),summation(sK1(sK3,sK3,sK4)))
| ~ spl6_20
| spl6_90
| ~ spl6_147
| spl6_221 ),
inference(forward_demodulation,[],[f3001,f1079]) ).
tff(f3047,plain,
( spl6_359
| ~ spl6_20
| ~ spl6_147
| spl6_221 ),
inference(avatar_split_clause,[],[f3046,f1659,f1078,f164,f3019]) ).
tff(f3019,plain,
( spl6_359
<=> ub(summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4))),summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4))),summation(sK1(sK3,sK3,sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_359])]) ).
tff(f3046,plain,
( ub(summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4))),summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4))),summation(sK1(sK3,sK3,sK4)))
| ~ spl6_20
| ~ spl6_147
| spl6_221 ),
inference(forward_demodulation,[],[f2996,f1079]) ).
tff(f3045,plain,
( ~ spl6_363
| ~ spl6_147
| spl6_221 ),
inference(avatar_split_clause,[],[f3004,f1659,f1078,f3042]) ).
tff(f3042,plain,
( spl6_363
<=> $less(summation(sK1(sK3,sK3,sK4)),summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_363])]) ).
tff(f3004,plain,
( ~ $less(summation(sK1(sK3,sK3,sK4)),summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4))))
| ~ spl6_147
| spl6_221 ),
inference(superposition,[],[f1661,f1079]) ).
tff(f3040,plain,
( ~ spl6_362
| ~ spl6_10
| ~ spl6_147
| spl6_221 ),
inference(avatar_split_clause,[],[f3035,f1659,f1078,f124,f3037]) ).
tff(f3037,plain,
( spl6_362
<=> $less(summation(summation(sK1(sK3,sK3,sK4))),summation(summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_362])]) ).
tff(f3035,plain,
( ~ $less(summation(summation(sK1(sK3,sK3,sK4))),summation(summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4)))))
| ~ spl6_10
| ~ spl6_147
| spl6_221 ),
inference(forward_demodulation,[],[f2995,f1079]) ).
tff(f3034,plain,
( spl6_361
| ~ spl6_28
| ~ spl6_147
| spl6_221 ),
inference(avatar_split_clause,[],[f3029,f1659,f1078,f196,f3031]) ).
tff(f3031,plain,
( spl6_361
<=> ( summation(sK1(sK3,sK3,sK4)) = max(summation(sK1(sK3,sK3,sK4)),summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_361])]) ).
tff(f3029,plain,
( ( summation(sK1(sK3,sK3,sK4)) = max(summation(sK1(sK3,sK3,sK4)),summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4)))) )
| ~ spl6_28
| ~ spl6_147
| spl6_221 ),
inference(forward_demodulation,[],[f3003,f1079]) ).
tff(f3028,plain,
( spl6_360
| ~ spl6_25
| ~ spl6_147
| spl6_221 ),
inference(avatar_split_clause,[],[f3023,f1659,f1078,f184,f3025]) ).
tff(f3025,plain,
( spl6_360
<=> ( max(summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4))),summation(sK1(sK3,sK3,sK4))) = summation(sK1(sK3,sK3,sK4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_360])]) ).
tff(f3023,plain,
( ( max(summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4))),summation(sK1(sK3,sK3,sK4))) = summation(sK1(sK3,sK3,sK4)) )
| ~ spl6_25
| ~ spl6_147
| spl6_221 ),
inference(forward_demodulation,[],[f3002,f1079]) ).
tff(f3022,plain,
( spl6_359
| ~ spl6_20
| ~ spl6_147
| spl6_221 ),
inference(avatar_split_clause,[],[f3017,f1659,f1078,f164,f3019]) ).
tff(f3017,plain,
( ub(summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4))),summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4))),summation(sK1(sK3,sK3,sK4)))
| ~ spl6_20
| ~ spl6_147
| spl6_221 ),
inference(forward_demodulation,[],[f2999,f1079]) ).
tff(f3016,plain,
( spl6_358
| ~ spl6_20
| spl6_77
| ~ spl6_147
| spl6_221 ),
inference(avatar_split_clause,[],[f3011,f1659,f1078,f509,f164,f3013]) ).
tff(f3011,plain,
( ub(summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4))),summation(sK3),summation(sK1(sK3,sK3,sK4)))
| ~ spl6_20
| spl6_77
| ~ spl6_147
| spl6_221 ),
inference(forward_demodulation,[],[f2997,f1079]) ).
tff(f3010,plain,
( spl6_357
| ~ spl6_20
| spl6_77
| ~ spl6_147
| spl6_221 ),
inference(avatar_split_clause,[],[f3005,f1659,f1078,f509,f164,f3007]) ).
tff(f3005,plain,
( ub(summation(sK3),summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4))),summation(sK1(sK3,sK3,sK4)))
| ~ spl6_20
| spl6_77
| ~ spl6_147
| spl6_221 ),
inference(forward_demodulation,[],[f3000,f1079]) ).
tff(f2993,plain,
( spl6_356
| ~ spl6_147
| ~ spl6_213 ),
inference(avatar_split_clause,[],[f2971,f1612,f1078,f2990]) ).
tff(f2990,plain,
( spl6_356
<=> $less(summation(sK2(sK3,sK3,sK4)),summation($sum(c,summation(sK1(sK3,sK3,sK4))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_356])]) ).
tff(f2971,plain,
( $less(summation(sK2(sK3,sK3,sK4)),summation($sum(c,summation(sK1(sK3,sK3,sK4)))))
| ~ spl6_147
| ~ spl6_213 ),
inference(superposition,[],[f1614,f1079]) ).
tff(f2988,plain,
( spl6_355
| ~ spl6_9
| ~ spl6_147
| ~ spl6_213 ),
inference(avatar_split_clause,[],[f2984,f1612,f1078,f120,f2986]) ).
tff(f2986,plain,
( spl6_355
<=> ! [X0: $int] : ~ ub(X0,summation($sum(c,summation(sK1(sK3,sK3,sK4)))),summation(sK2(sK3,sK3,sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_355])]) ).
tff(f2984,plain,
( ! [X0: $int] : ~ ub(X0,summation($sum(c,summation(sK1(sK3,sK3,sK4)))),summation(sK2(sK3,sK3,sK4)))
| ~ spl6_9
| ~ spl6_147
| ~ spl6_213 ),
inference(forward_demodulation,[],[f2968,f1079]) ).
tff(f2983,plain,
( spl6_354
| ~ spl6_11
| ~ spl6_147
| ~ spl6_213 ),
inference(avatar_split_clause,[],[f2978,f1612,f1078,f128,f2980]) ).
tff(f2980,plain,
( spl6_354
<=> $less(summation(summation(sK2(sK3,sK3,sK4))),summation(summation($sum(c,summation(sK1(sK3,sK3,sK4)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_354])]) ).
tff(f2978,plain,
( $less(summation(summation(sK2(sK3,sK3,sK4))),summation(summation($sum(c,summation(sK1(sK3,sK3,sK4))))))
| ~ spl6_11
| ~ spl6_147
| ~ spl6_213 ),
inference(forward_demodulation,[],[f2969,f1079]) ).
tff(f2976,plain,
( spl6_353
| ~ spl6_30
| ~ spl6_147
| ~ spl6_213 ),
inference(avatar_split_clause,[],[f2972,f1612,f1078,f205,f2974]) ).
tff(f2974,plain,
( spl6_353
<=> ! [X0: $int] : ~ ub(summation($sum(c,summation(sK1(sK3,sK3,sK4)))),X0,summation(sK2(sK3,sK3,sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_353])]) ).
tff(f2972,plain,
( ! [X0: $int] : ~ ub(summation($sum(c,summation(sK1(sK3,sK3,sK4)))),X0,summation(sK2(sK3,sK3,sK4)))
| ~ spl6_30
| ~ spl6_147
| ~ spl6_213 ),
inference(forward_demodulation,[],[f2970,f1079]) ).
tff(f2965,plain,
( spl6_352
| ~ spl6_23
| ~ spl6_116
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f2961,f1078,f802,f176,f2963]) ).
tff(f2963,plain,
( spl6_352
<=> ! [X0: $int] :
( ~ model_max(summation($sum(c,summation(sK1(sK3,sK3,sK4)))),summation(sK4),X0)
| ~ $less(X0,$sum(c,summation(summation(sK4)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_352])]) ).
tff(f2961,plain,
( ! [X0: $int] :
( ~ model_max(summation($sum(c,summation(sK1(sK3,sK3,sK4)))),summation(sK4),X0)
| ~ $less(X0,$sum(c,summation(summation(sK4)))) )
| ~ spl6_23
| ~ spl6_116
| ~ spl6_147 ),
inference(forward_demodulation,[],[f2952,f1079]) ).
tff(f2960,plain,
( spl6_351
| ~ spl6_116
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f2949,f1078,f802,f2957]) ).
tff(f2957,plain,
( spl6_351
<=> ( max(summation($sum(c,summation(sK1(sK3,sK3,sK4)))),summation(sK4)) = summation(sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_351])]) ).
tff(f2949,plain,
( ( max(summation($sum(c,summation(sK1(sK3,sK3,sK4)))),summation(sK4)) = summation(sK4) )
| ~ spl6_116
| ~ spl6_147 ),
inference(superposition,[],[f804,f1079]) ).
tff(f2948,plain,
( spl6_350
| ~ spl6_147
| ~ spl6_220 ),
inference(avatar_split_clause,[],[f2944,f1655,f1078,f2946]) ).
tff(f2946,plain,
( spl6_350
<=> ! [X0: $int] : ~ ub($sum(c,summation(sK1(sK3,sK3,sK4))),X0,sK2(sK3,sK3,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_350])]) ).
tff(f1655,plain,
( spl6_220
<=> ! [X0: $int] : ~ ub($sum(c,summation(sK1(sK3,sK5,sK4))),X0,sK2(sK3,sK5,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_220])]) ).
tff(f2944,plain,
( ! [X0: $int] : ~ ub($sum(c,summation(sK1(sK3,sK3,sK4))),X0,sK2(sK3,sK3,sK4))
| ~ spl6_147
| ~ spl6_220 ),
inference(superposition,[],[f1656,f1079]) ).
tff(f1656,plain,
( ! [X0: $int] : ~ ub($sum(c,summation(sK1(sK3,sK5,sK4))),X0,sK2(sK3,sK5,sK4))
| ~ spl6_220 ),
inference(avatar_component_clause,[],[f1655]) ).
tff(f2942,plain,
( spl6_349
| ~ spl6_147
| ~ spl6_216 ),
inference(avatar_split_clause,[],[f2938,f1636,f1078,f2940]) ).
tff(f2940,plain,
( spl6_349
<=> ! [X0: $int] : ~ ub(X0,$sum(c,summation(sK1(sK3,sK3,sK4))),sK2(sK3,sK3,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_349])]) ).
tff(f1636,plain,
( spl6_216
<=> ! [X0: $int] : ~ ub(X0,$sum(c,summation(sK1(sK3,sK5,sK4))),sK2(sK3,sK5,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_216])]) ).
tff(f2938,plain,
( ! [X0: $int] : ~ ub(X0,$sum(c,summation(sK1(sK3,sK3,sK4))),sK2(sK3,sK3,sK4))
| ~ spl6_147
| ~ spl6_216 ),
inference(superposition,[],[f1637,f1079]) ).
tff(f1637,plain,
( ! [X0: $int] : ~ ub(X0,$sum(c,summation(sK1(sK3,sK5,sK4))),sK2(sK3,sK5,sK4))
| ~ spl6_216 ),
inference(avatar_component_clause,[],[f1636]) ).
tff(f2934,plain,
( spl6_347
| ~ spl6_147
| ~ spl6_171 ),
inference(avatar_split_clause,[],[f2933,f1260,f1078,f2919]) ).
tff(f2919,plain,
( spl6_347
<=> model_max(sK3,sK3,$sum(c,summation(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_347])]) ).
tff(f1260,plain,
( spl6_171
<=> model_max(sK3,sK5,$sum(c,summation(sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_171])]) ).
tff(f2933,plain,
( model_max(sK3,sK3,$sum(c,summation(sK3)))
| ~ spl6_147
| ~ spl6_171 ),
inference(forward_demodulation,[],[f1261,f1079]) ).
tff(f1261,plain,
( model_max(sK3,sK5,$sum(c,summation(sK5)))
| ~ spl6_171 ),
inference(avatar_component_clause,[],[f1260]) ).
tff(f2932,plain,
( ~ spl6_26
| ~ spl6_46
| spl6_171 ),
inference(avatar_contradiction_clause,[],[f2931]) ).
tff(f2931,plain,
( $false
| ~ spl6_26
| ~ spl6_46
| spl6_171 ),
inference(evaluation,[],[f2930]) ).
tff(f2930,plain,
( $less(0,0)
| ~ spl6_26
| ~ spl6_46
| spl6_171 ),
inference(cancellation,[],[f2929]) ).
tff(f2929,plain,
( $less(summation(sK5),summation(sK5))
| ~ spl6_26
| ~ spl6_46
| spl6_171 ),
inference(forward_demodulation,[],[f2917,f300]) ).
tff(f2917,plain,
( $less(summation(sK5),summation(max(sK3,sK5)))
| ~ spl6_26
| spl6_171 ),
inference(cancellation,[],[f2914]) ).
tff(f2914,plain,
( $less($sum(c,summation(sK5)),$sum(c,summation(max(sK3,sK5))))
| ~ spl6_26
| spl6_171 ),
inference(unit_resulting_resolution,[],[f1262,f189]) ).
tff(f1262,plain,
( ~ model_max(sK3,sK5,$sum(c,summation(sK5)))
| spl6_171 ),
inference(avatar_component_clause,[],[f1260]) ).
tff(f2928,plain,
( ~ spl6_348
| ~ spl6_14
| ~ spl6_147
| spl6_171 ),
inference(avatar_split_clause,[],[f2923,f1260,f1078,f140,f2925]) ).
tff(f2925,plain,
( spl6_348
<=> minsol_model_max(sK3,sK3,$sum(c,summation(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_348])]) ).
tff(f2923,plain,
( ~ minsol_model_max(sK3,sK3,$sum(c,summation(sK3)))
| ~ spl6_14
| ~ spl6_147
| spl6_171 ),
inference(forward_demodulation,[],[f2915,f1079]) ).
tff(f2915,plain,
( ~ minsol_model_max(sK3,sK5,$sum(c,summation(sK5)))
| ~ spl6_14
| spl6_171 ),
inference(unit_resulting_resolution,[],[f1262,f141]) ).
tff(f2922,plain,
( ~ spl6_347
| ~ spl6_147
| spl6_171 ),
inference(avatar_split_clause,[],[f2916,f1260,f1078,f2919]) ).
tff(f2916,plain,
( ~ model_max(sK3,sK3,$sum(c,summation(sK3)))
| ~ spl6_147
| spl6_171 ),
inference(superposition,[],[f1262,f1079]) ).
tff(f2898,plain,
( spl6_345
| ~ spl6_20
| spl6_98
| spl6_115
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f2897,f1078,f797,f666,f164,f2883]) ).
tff(f2883,plain,
( spl6_345
<=> ub(summation(summation($sum(c,summation(sK3)))),summation(summation($sum(c,summation(sK1(sK3,sK3,sK4))))),summation(summation(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_345])]) ).
tff(f2897,plain,
( ub(summation(summation($sum(c,summation(sK3)))),summation(summation($sum(c,summation(sK1(sK3,sK3,sK4))))),summation(summation(sK4)))
| ~ spl6_20
| spl6_98
| spl6_115
| ~ spl6_147 ),
inference(forward_demodulation,[],[f2846,f1079]) ).
tff(f2896,plain,
( spl6_340
| ~ spl6_20
| spl6_115
| spl6_140
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f2895,f1078,f1030,f797,f164,f2854]) ).
tff(f2854,plain,
( spl6_340
<=> ub(summation(summation($sum(c,summation(sK1(sK3,sK3,sK4))))),summation(summation($sum(c,summation(sK3)))),summation(summation(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_340])]) ).
tff(f2895,plain,
( ub(summation(summation($sum(c,summation(sK1(sK3,sK3,sK4))))),summation(summation($sum(c,summation(sK3)))),summation(summation(sK4)))
| ~ spl6_20
| spl6_115
| spl6_140
| ~ spl6_147 ),
inference(forward_demodulation,[],[f2844,f1079]) ).
tff(f2894,plain,
( spl6_341
| ~ spl6_20
| spl6_115
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f2893,f1078,f797,f164,f2860]) ).
tff(f2860,plain,
( spl6_341
<=> ub(summation(summation($sum(c,summation(sK1(sK3,sK3,sK4))))),summation(summation($sum(c,summation(sK1(sK3,sK3,sK4))))),summation(summation(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_341])]) ).
tff(f2893,plain,
( ub(summation(summation($sum(c,summation(sK1(sK3,sK3,sK4))))),summation(summation($sum(c,summation(sK1(sK3,sK3,sK4))))),summation(summation(sK4)))
| ~ spl6_20
| spl6_115
| ~ spl6_147 ),
inference(forward_demodulation,[],[f2845,f1079]) ).
tff(f2892,plain,
( ~ spl6_346
| ~ spl6_10
| spl6_115
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f2887,f1078,f797,f124,f2889]) ).
tff(f2889,plain,
( spl6_346
<=> $less(summation(summation(summation(sK4))),summation(summation(summation($sum(c,summation(sK1(sK3,sK3,sK4))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_346])]) ).
tff(f2887,plain,
( ~ $less(summation(summation(summation(sK4))),summation(summation(summation($sum(c,summation(sK1(sK3,sK3,sK4)))))))
| ~ spl6_10
| spl6_115
| ~ spl6_147 ),
inference(forward_demodulation,[],[f2842,f1079]) ).
tff(f2886,plain,
( spl6_345
| ~ spl6_20
| spl6_115
| spl6_140
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f2881,f1078,f1030,f797,f164,f2883]) ).
tff(f2881,plain,
( ub(summation(summation($sum(c,summation(sK3)))),summation(summation($sum(c,summation(sK1(sK3,sK3,sK4))))),summation(summation(sK4)))
| ~ spl6_20
| spl6_115
| spl6_140
| ~ spl6_147 ),
inference(forward_demodulation,[],[f2847,f1079]) ).
tff(f2880,plain,
( spl6_344
| ~ spl6_25
| spl6_115
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f2875,f1078,f797,f184,f2877]) ).
tff(f2877,plain,
( spl6_344
<=> ( max(summation(summation($sum(c,summation(sK1(sK3,sK3,sK4))))),summation(summation(sK4))) = summation(summation(sK4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_344])]) ).
tff(f2875,plain,
( ( max(summation(summation($sum(c,summation(sK1(sK3,sK3,sK4))))),summation(summation(sK4))) = summation(summation(sK4)) )
| ~ spl6_25
| spl6_115
| ~ spl6_147 ),
inference(forward_demodulation,[],[f2849,f1079]) ).
tff(f2874,plain,
( ~ spl6_343
| spl6_115
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f2851,f1078,f797,f2871]) ).
tff(f2871,plain,
( spl6_343
<=> $less(summation(summation(sK4)),summation(summation($sum(c,summation(sK1(sK3,sK3,sK4)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_343])]) ).
tff(f2851,plain,
( ~ $less(summation(summation(sK4)),summation(summation($sum(c,summation(sK1(sK3,sK3,sK4))))))
| spl6_115
| ~ spl6_147 ),
inference(superposition,[],[f799,f1079]) ).
tff(f2869,plain,
( spl6_342
| ~ spl6_28
| spl6_115
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f2864,f1078,f797,f196,f2866]) ).
tff(f2866,plain,
( spl6_342
<=> ( max(summation(summation(sK4)),summation(summation($sum(c,summation(sK1(sK3,sK3,sK4)))))) = summation(summation(sK4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_342])]) ).
tff(f2864,plain,
( ( max(summation(summation(sK4)),summation(summation($sum(c,summation(sK1(sK3,sK3,sK4)))))) = summation(summation(sK4)) )
| ~ spl6_28
| spl6_115
| ~ spl6_147 ),
inference(forward_demodulation,[],[f2850,f1079]) ).
tff(f2863,plain,
( spl6_341
| ~ spl6_20
| spl6_115
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f2858,f1078,f797,f164,f2860]) ).
tff(f2858,plain,
( ub(summation(summation($sum(c,summation(sK1(sK3,sK3,sK4))))),summation(summation($sum(c,summation(sK1(sK3,sK3,sK4))))),summation(summation(sK4)))
| ~ spl6_20
| spl6_115
| ~ spl6_147 ),
inference(forward_demodulation,[],[f2848,f1079]) ).
tff(f2857,plain,
( spl6_340
| ~ spl6_20
| spl6_98
| spl6_115
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f2852,f1078,f797,f666,f164,f2854]) ).
tff(f2852,plain,
( ub(summation(summation($sum(c,summation(sK1(sK3,sK3,sK4))))),summation(summation($sum(c,summation(sK3)))),summation(summation(sK4)))
| ~ spl6_20
| spl6_98
| spl6_115
| ~ spl6_147 ),
inference(forward_demodulation,[],[f2843,f1079]) ).
tff(f2838,plain,
( spl6_339
| ~ spl6_85
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f2833,f1078,f569,f2835]) ).
tff(f2835,plain,
( spl6_339
<=> ub($sum(c,summation(sK3)),$sum(c,summation(sK1(sK3,sK3,sK4))),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_339])]) ).
tff(f2833,plain,
( ub($sum(c,summation(sK3)),$sum(c,summation(sK1(sK3,sK3,sK4))),sK4)
| ~ spl6_85
| ~ spl6_147 ),
inference(superposition,[],[f571,f1079]) ).
tff(f2830,plain,
( spl6_338
| ~ spl6_82
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f2824,f1078,f553,f2827]) ).
tff(f2827,plain,
( spl6_338
<=> ub($sum(c,summation(sK1(sK3,sK3,sK4))),$sum(c,summation(sK3)),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_338])]) ).
tff(f553,plain,
( spl6_82
<=> ub($sum(c,summation(sK1(sK3,sK5,sK4))),$sum(c,summation(sK3)),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_82])]) ).
tff(f2824,plain,
( ub($sum(c,summation(sK1(sK3,sK3,sK4))),$sum(c,summation(sK3)),sK4)
| ~ spl6_82
| ~ spl6_147 ),
inference(superposition,[],[f555,f1079]) ).
tff(f555,plain,
( ub($sum(c,summation(sK1(sK3,sK5,sK4))),$sum(c,summation(sK3)),sK4)
| ~ spl6_82 ),
inference(avatar_component_clause,[],[f553]) ).
tff(f2821,plain,
( spl6_332
| ~ spl6_20
| ~ spl6_147
| spl6_155 ),
inference(avatar_split_clause,[],[f2820,f1150,f1078,f164,f2778]) ).
tff(f2778,plain,
( spl6_332
<=> ub($sum(c,summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4)))),$sum(c,summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4)))),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_332])]) ).
tff(f2820,plain,
( ub($sum(c,summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4)))),$sum(c,summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4)))),sK4)
| ~ spl6_20
| ~ spl6_147
| spl6_155 ),
inference(forward_demodulation,[],[f2750,f1079]) ).
tff(f2819,plain,
( spl6_331
| ~ spl6_20
| spl6_39
| ~ spl6_147
| spl6_155 ),
inference(avatar_split_clause,[],[f2818,f1150,f1078,f258,f164,f2772]) ).
tff(f2772,plain,
( spl6_331
<=> ub($sum(c,summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4)))),$sum(c,summation(sK3)),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_331])]) ).
tff(f2818,plain,
( ub($sum(c,summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4)))),$sum(c,summation(sK3)),sK4)
| ~ spl6_20
| spl6_39
| ~ spl6_147
| spl6_155 ),
inference(forward_demodulation,[],[f2747,f1079]) ).
tff(f2817,plain,
( spl6_337
| ~ spl6_20
| ~ spl6_147
| spl6_155
| spl6_285 ),
inference(avatar_split_clause,[],[f2812,f2304,f1150,f1078,f164,f2814]) ).
tff(f2814,plain,
( spl6_337
<=> ub(sK2(sK3,sK3,sK4),$sum(c,summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4)))),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_337])]) ).
tff(f2812,plain,
( ub(sK2(sK3,sK3,sK4),$sum(c,summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4)))),sK4)
| ~ spl6_20
| ~ spl6_147
| spl6_155
| spl6_285 ),
inference(forward_demodulation,[],[f2753,f1079]) ).
tff(f2811,plain,
( spl6_331
| ~ spl6_20
| spl6_43
| ~ spl6_147
| spl6_155 ),
inference(avatar_split_clause,[],[f2810,f1150,f1078,f281,f164,f2772]) ).
tff(f2810,plain,
( ub($sum(c,summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4)))),$sum(c,summation(sK3)),sK4)
| ~ spl6_20
| spl6_43
| ~ spl6_147
| spl6_155 ),
inference(forward_demodulation,[],[f2746,f1079]) ).
tff(f2809,plain,
( spl6_329
| ~ spl6_20
| spl6_43
| ~ spl6_147
| spl6_155 ),
inference(avatar_split_clause,[],[f2808,f1150,f1078,f281,f164,f2759]) ).
tff(f2759,plain,
( spl6_329
<=> ub($sum(c,summation(sK3)),$sum(c,summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4)))),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_329])]) ).
tff(f2808,plain,
( ub($sum(c,summation(sK3)),$sum(c,summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4)))),sK4)
| ~ spl6_20
| spl6_43
| ~ spl6_147
| spl6_155 ),
inference(forward_demodulation,[],[f2751,f1079]) ).
tff(f2807,plain,
( spl6_336
| ~ spl6_28
| ~ spl6_147
| spl6_155 ),
inference(avatar_split_clause,[],[f2802,f1150,f1078,f196,f2804]) ).
tff(f2804,plain,
( spl6_336
<=> ( max(sK4,$sum(c,summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4))))) = sK4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_336])]) ).
tff(f2802,plain,
( ( max(sK4,$sum(c,summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4))))) = sK4 )
| ~ spl6_28
| ~ spl6_147
| spl6_155 ),
inference(forward_demodulation,[],[f2755,f1079]) ).
tff(f2801,plain,
( ~ spl6_335
| ~ spl6_147
| spl6_155 ),
inference(avatar_split_clause,[],[f2756,f1150,f1078,f2798]) ).
tff(f2798,plain,
( spl6_335
<=> $less(sK4,$sum(c,summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_335])]) ).
tff(f2756,plain,
( ~ $less(sK4,$sum(c,summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4)))))
| ~ spl6_147
| spl6_155 ),
inference(superposition,[],[f1152,f1079]) ).
tff(f2796,plain,
( spl6_334
| ~ spl6_20
| ~ spl6_147
| spl6_155
| spl6_285 ),
inference(avatar_split_clause,[],[f2791,f2304,f1150,f1078,f164,f2793]) ).
tff(f2793,plain,
( spl6_334
<=> ub($sum(c,summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4)))),sK2(sK3,sK3,sK4),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_334])]) ).
tff(f2791,plain,
( ub($sum(c,summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4)))),sK2(sK3,sK3,sK4),sK4)
| ~ spl6_20
| ~ spl6_147
| spl6_155
| spl6_285 ),
inference(forward_demodulation,[],[f2748,f1079]) ).
tff(f2790,plain,
( spl6_333
| ~ spl6_25
| ~ spl6_147
| spl6_155 ),
inference(avatar_split_clause,[],[f2785,f1150,f1078,f184,f2787]) ).
tff(f2787,plain,
( spl6_333
<=> ( max($sum(c,summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4)))),sK4) = sK4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_333])]) ).
tff(f2785,plain,
( ( max($sum(c,summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4)))),sK4) = sK4 )
| ~ spl6_25
| ~ spl6_147
| spl6_155 ),
inference(forward_demodulation,[],[f2754,f1079]) ).
tff(f2784,plain,
( spl6_329
| ~ spl6_20
| spl6_36
| ~ spl6_147
| spl6_155
| ~ spl6_223 ),
inference(avatar_split_clause,[],[f2783,f1684,f1150,f1078,f239,f164,f2759]) ).
tff(f2783,plain,
( ub($sum(c,summation(sK3)),$sum(c,summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4)))),sK4)
| ~ spl6_20
| spl6_36
| ~ spl6_147
| spl6_155
| ~ spl6_223 ),
inference(forward_demodulation,[],[f2782,f1686]) ).
tff(f1686,plain,
( ( sK3 = max(sK3,sK3) )
| ~ spl6_223 ),
inference(avatar_component_clause,[],[f1684]) ).
tff(f2782,plain,
( ub($sum(c,summation(max(sK3,sK3))),$sum(c,summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4)))),sK4)
| ~ spl6_20
| spl6_36
| ~ spl6_147
| spl6_155 ),
inference(forward_demodulation,[],[f2749,f1079]) ).
tff(f2781,plain,
( spl6_332
| ~ spl6_20
| ~ spl6_147
| spl6_155 ),
inference(avatar_split_clause,[],[f2776,f1150,f1078,f164,f2778]) ).
tff(f2776,plain,
( ub($sum(c,summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4)))),$sum(c,summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4)))),sK4)
| ~ spl6_20
| ~ spl6_147
| spl6_155 ),
inference(forward_demodulation,[],[f2745,f1079]) ).
tff(f2775,plain,
( spl6_331
| ~ spl6_20
| spl6_36
| ~ spl6_46
| ~ spl6_147
| spl6_155 ),
inference(avatar_split_clause,[],[f2770,f1150,f1078,f298,f239,f164,f2772]) ).
tff(f2770,plain,
( ub($sum(c,summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4)))),$sum(c,summation(sK3)),sK4)
| ~ spl6_20
| spl6_36
| ~ spl6_46
| ~ spl6_147
| spl6_155 ),
inference(forward_demodulation,[],[f2769,f1079]) ).
tff(f2769,plain,
( ub($sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))),$sum(c,summation(sK5)),sK4)
| ~ spl6_20
| spl6_36
| ~ spl6_46
| spl6_155 ),
inference(forward_demodulation,[],[f2744,f300]) ).
tff(f2768,plain,
( ~ spl6_330
| ~ spl6_10
| ~ spl6_147
| spl6_155 ),
inference(avatar_split_clause,[],[f2763,f1150,f1078,f124,f2765]) ).
tff(f2765,plain,
( spl6_330
<=> $less(summation(sK4),summation($sum(c,summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_330])]) ).
tff(f2763,plain,
( ~ $less(summation(sK4),summation($sum(c,summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4))))))
| ~ spl6_10
| ~ spl6_147
| spl6_155 ),
inference(forward_demodulation,[],[f2743,f1079]) ).
tff(f2762,plain,
( spl6_329
| ~ spl6_20
| spl6_39
| ~ spl6_147
| spl6_155 ),
inference(avatar_split_clause,[],[f2757,f1150,f1078,f258,f164,f2759]) ).
tff(f2757,plain,
( ub($sum(c,summation(sK3)),$sum(c,summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4)))),sK4)
| ~ spl6_20
| spl6_39
| ~ spl6_147
| spl6_155 ),
inference(forward_demodulation,[],[f2752,f1079]) ).
tff(f2742,plain,
( spl6_328
| ~ spl6_23
| ~ spl6_143 ),
inference(avatar_split_clause,[],[f2738,f1050,f176,f2740]) ).
tff(f2740,plain,
( spl6_328
<=> ! [X0: $int] :
( ~ $less(X0,$sum(c,summation(summation(sK4))))
| ~ model_max(summation(sK4),summation($sum(c,summation(sK3))),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_328])]) ).
tff(f1050,plain,
( spl6_143
<=> ( max(summation(sK4),summation($sum(c,summation(sK3)))) = summation(sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_143])]) ).
tff(f2738,plain,
( ! [X0: $int] :
( ~ $less(X0,$sum(c,summation(summation(sK4))))
| ~ model_max(summation(sK4),summation($sum(c,summation(sK3))),X0) )
| ~ spl6_23
| ~ spl6_143 ),
inference(superposition,[],[f177,f1052]) ).
tff(f1052,plain,
( ( max(summation(sK4),summation($sum(c,summation(sK3)))) = summation(sK4) )
| ~ spl6_143 ),
inference(avatar_component_clause,[],[f1050]) ).
tff(f2735,plain,
( spl6_327
| ~ spl6_23
| ~ spl6_142 ),
inference(avatar_split_clause,[],[f2731,f1044,f176,f2733]) ).
tff(f2733,plain,
( spl6_327
<=> ! [X0: $int] :
( ~ model_max(summation($sum(c,summation(sK3))),summation(sK4),X0)
| ~ $less(X0,$sum(c,summation(summation(sK4)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_327])]) ).
tff(f1044,plain,
( spl6_142
<=> ( max(summation($sum(c,summation(sK3))),summation(sK4)) = summation(sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_142])]) ).
tff(f2731,plain,
( ! [X0: $int] :
( ~ model_max(summation($sum(c,summation(sK3))),summation(sK4),X0)
| ~ $less(X0,$sum(c,summation(summation(sK4)))) )
| ~ spl6_23
| ~ spl6_142 ),
inference(superposition,[],[f177,f1046]) ).
tff(f1046,plain,
( ( max(summation($sum(c,summation(sK3))),summation(sK4)) = summation(sK4) )
| ~ spl6_142 ),
inference(avatar_component_clause,[],[f1044]) ).
tff(f2726,plain,
( ~ spl6_326
| spl6_95
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f2718,f1078,f641,f2723]) ).
tff(f2723,plain,
( spl6_326
<=> ( max(summation(sK3),summation(sK1(sK3,sK3,sK4))) = summation(sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_326])]) ).
tff(f2718,plain,
( ( max(summation(sK3),summation(sK1(sK3,sK3,sK4))) != summation(sK3) )
| spl6_95
| ~ spl6_147 ),
inference(superposition,[],[f642,f1079]) ).
tff(f2716,plain,
( ~ spl6_325
| ~ spl6_28
| spl6_90
| spl6_94
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f2711,f1078,f636,f603,f196,f2713]) ).
tff(f2713,plain,
( spl6_325
<=> ( summation(sK3) = summation(sK1(sK3,sK3,sK4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_325])]) ).
tff(f2711,plain,
( ( summation(sK3) != summation(sK1(sK3,sK3,sK4)) )
| ~ spl6_28
| spl6_90
| spl6_94
| ~ spl6_147 ),
inference(forward_demodulation,[],[f2710,f1079]) ).
tff(f2709,plain,
( ~ spl6_324
| spl6_94
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f2701,f1078,f636,f2706]) ).
tff(f2706,plain,
( spl6_324
<=> ( max(summation(sK1(sK3,sK3,sK4)),summation(sK3)) = summation(sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_324])]) ).
tff(f2701,plain,
( ( max(summation(sK1(sK3,sK3,sK4)),summation(sK3)) != summation(sK3) )
| spl6_94
| ~ spl6_147 ),
inference(superposition,[],[f637,f1079]) ).
tff(f2678,plain,
( spl6_323
| ~ spl6_23
| ~ spl6_80
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f2674,f1078,f525,f176,f2676]) ).
tff(f2676,plain,
( spl6_323
<=> ! [X0: $int] :
( ~ $less(X0,$sum(c,summation(sK1(sK3,sK3,sK4))))
| ~ model_max(sK3,sK1(sK3,sK3,sK4),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_323])]) ).
tff(f2674,plain,
( ! [X0: $int] :
( ~ $less(X0,$sum(c,summation(sK1(sK3,sK3,sK4))))
| ~ model_max(sK3,sK1(sK3,sK3,sK4),X0) )
| ~ spl6_23
| ~ spl6_80
| ~ spl6_147 ),
inference(forward_demodulation,[],[f2673,f1079]) ).
tff(f2673,plain,
( ! [X0: $int] :
( ~ $less(X0,$sum(c,summation(sK1(sK3,sK3,sK4))))
| ~ model_max(sK3,sK1(sK3,sK5,sK4),X0) )
| ~ spl6_23
| ~ spl6_80
| ~ spl6_147 ),
inference(forward_demodulation,[],[f2672,f1079]) ).
tff(f2668,plain,
( spl6_322
| ~ spl6_23
| ~ spl6_78
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f2664,f1078,f514,f176,f2666]) ).
tff(f2666,plain,
( spl6_322
<=> ! [X0: $int] :
( ~ model_max(sK1(sK3,sK3,sK4),sK3,X0)
| ~ $less(X0,$sum(c,summation(sK1(sK3,sK3,sK4)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_322])]) ).
tff(f2664,plain,
( ! [X0: $int] :
( ~ model_max(sK1(sK3,sK3,sK4),sK3,X0)
| ~ $less(X0,$sum(c,summation(sK1(sK3,sK3,sK4)))) )
| ~ spl6_23
| ~ spl6_78
| ~ spl6_147 ),
inference(forward_demodulation,[],[f2663,f1079]) ).
tff(f2663,plain,
( ! [X0: $int] :
( ~ model_max(sK1(sK3,sK5,sK4),sK3,X0)
| ~ $less(X0,$sum(c,summation(sK1(sK3,sK3,sK4)))) )
| ~ spl6_23
| ~ spl6_78
| ~ spl6_147 ),
inference(forward_demodulation,[],[f2659,f1079]) ).
tff(f2644,plain,
( ~ spl6_321
| ~ spl6_14
| ~ spl6_147
| spl6_218 ),
inference(avatar_split_clause,[],[f2639,f1645,f1078,f140,f2641]) ).
tff(f2641,plain,
( spl6_321
<=> minsol_model_max(sK1(sK3,sK3,sK4),sK3,sK2(sK3,sK3,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_321])]) ).
tff(f2639,plain,
( ~ minsol_model_max(sK1(sK3,sK3,sK4),sK3,sK2(sK3,sK3,sK4))
| ~ spl6_14
| ~ spl6_147
| spl6_218 ),
inference(forward_demodulation,[],[f2632,f1079]) ).
tff(f2638,plain,
( ~ spl6_320
| ~ spl6_147
| spl6_218 ),
inference(avatar_split_clause,[],[f2633,f1645,f1078,f2635]) ).
tff(f2635,plain,
( spl6_320
<=> model_max(sK1(sK3,sK3,sK4),sK3,sK2(sK3,sK3,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_320])]) ).
tff(f2633,plain,
( ~ model_max(sK1(sK3,sK3,sK4),sK3,sK2(sK3,sK3,sK4))
| ~ spl6_147
| spl6_218 ),
inference(superposition,[],[f1647,f1079]) ).
tff(f2630,plain,
( ~ spl6_319
| ~ spl6_147
| spl6_217 ),
inference(avatar_split_clause,[],[f2618,f1640,f1078,f2627]) ).
tff(f2627,plain,
( spl6_319
<=> model_max(sK3,sK1(sK3,sK3,sK4),sK2(sK3,sK3,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_319])]) ).
tff(f2618,plain,
( ~ model_max(sK3,sK1(sK3,sK3,sK4),sK2(sK3,sK3,sK4))
| ~ spl6_147
| spl6_217 ),
inference(superposition,[],[f1642,f1079]) ).
tff(f2625,plain,
( ~ spl6_318
| ~ spl6_14
| ~ spl6_147
| spl6_217 ),
inference(avatar_split_clause,[],[f2620,f1640,f1078,f140,f2622]) ).
tff(f2622,plain,
( spl6_318
<=> minsol_model_max(sK3,sK1(sK3,sK3,sK4),sK2(sK3,sK3,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_318])]) ).
tff(f2620,plain,
( ~ minsol_model_max(sK3,sK1(sK3,sK3,sK4),sK2(sK3,sK3,sK4))
| ~ spl6_14
| ~ spl6_147
| spl6_217 ),
inference(forward_demodulation,[],[f2617,f1079]) ).
tff(f2605,plain,
( spl6_317
| ~ spl6_9
| ~ spl6_136
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f2601,f1078,f1000,f120,f2603]) ).
tff(f2603,plain,
( spl6_317
<=> ! [X0: $int] : ~ ub(X0,summation(summation(sK4)),summation(summation(sK2(sK3,sK3,sK4)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_317])]) ).
tff(f2601,plain,
( ! [X0: $int] : ~ ub(X0,summation(summation(sK4)),summation(summation(sK2(sK3,sK3,sK4))))
| ~ spl6_9
| ~ spl6_136
| ~ spl6_147 ),
inference(forward_demodulation,[],[f2581,f1079]) ).
tff(f2600,plain,
( spl6_316
| ~ spl6_11
| ~ spl6_136
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f2595,f1078,f1000,f128,f2597]) ).
tff(f2597,plain,
( spl6_316
<=> $less(summation(summation(summation(sK2(sK3,sK3,sK4)))),summation(summation(summation(sK4)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_316])]) ).
tff(f2595,plain,
( $less(summation(summation(summation(sK2(sK3,sK3,sK4)))),summation(summation(summation(sK4))))
| ~ spl6_11
| ~ spl6_136
| ~ spl6_147 ),
inference(forward_demodulation,[],[f2582,f1079]) ).
tff(f2594,plain,
( spl6_315
| ~ spl6_136
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f2584,f1078,f1000,f2591]) ).
tff(f2591,plain,
( spl6_315
<=> $less(summation(summation(sK2(sK3,sK3,sK4))),summation(summation(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_315])]) ).
tff(f2584,plain,
( $less(summation(summation(sK2(sK3,sK3,sK4))),summation(summation(sK4)))
| ~ spl6_136
| ~ spl6_147 ),
inference(superposition,[],[f1002,f1079]) ).
tff(f2589,plain,
( spl6_314
| ~ spl6_30
| ~ spl6_136
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f2585,f1078,f1000,f205,f2587]) ).
tff(f2587,plain,
( spl6_314
<=> ! [X0: $int] : ~ ub(summation(summation(sK4)),X0,summation(summation(sK2(sK3,sK3,sK4)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_314])]) ).
tff(f2585,plain,
( ! [X0: $int] : ~ ub(summation(summation(sK4)),X0,summation(summation(sK2(sK3,sK3,sK4))))
| ~ spl6_30
| ~ spl6_136
| ~ spl6_147 ),
inference(forward_demodulation,[],[f2583,f1079]) ).
tff(f2552,plain,
( ~ spl6_313
| ~ spl6_10
| spl6_98
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f2547,f1078,f666,f124,f2549]) ).
tff(f2549,plain,
( spl6_313
<=> $less(summation(summation(summation(sK4))),summation(summation(summation($sum(c,summation(sK3)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_313])]) ).
tff(f2547,plain,
( ~ $less(summation(summation(summation(sK4))),summation(summation(summation($sum(c,summation(sK3))))))
| ~ spl6_10
| spl6_98
| ~ spl6_147 ),
inference(forward_demodulation,[],[f2521,f1079]) ).
tff(f2546,plain,
( spl6_310
| ~ spl6_20
| spl6_98
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f2545,f1078,f666,f164,f2529]) ).
tff(f2545,plain,
( ub(summation(summation($sum(c,summation(sK3)))),summation(summation($sum(c,summation(sK3)))),summation(summation(sK4)))
| ~ spl6_20
| spl6_98
| ~ spl6_147 ),
inference(forward_demodulation,[],[f2523,f1079]) ).
tff(f2544,plain,
( spl6_312
| ~ spl6_25
| spl6_98
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f2539,f1078,f666,f184,f2541]) ).
tff(f2539,plain,
( ( max(summation(summation($sum(c,summation(sK3)))),summation(summation(sK4))) = summation(summation(sK4)) )
| ~ spl6_25
| spl6_98
| ~ spl6_147 ),
inference(forward_demodulation,[],[f2524,f1079]) ).
tff(f2538,plain,
( spl6_311
| ~ spl6_28
| spl6_98
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f2533,f1078,f666,f196,f2535]) ).
tff(f2533,plain,
( ( max(summation(summation(sK4)),summation(summation($sum(c,summation(sK3))))) = summation(summation(sK4)) )
| ~ spl6_28
| spl6_98
| ~ spl6_147 ),
inference(forward_demodulation,[],[f2525,f1079]) ).
tff(f2532,plain,
( spl6_310
| ~ spl6_20
| spl6_98
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f2527,f1078,f666,f164,f2529]) ).
tff(f2527,plain,
( ub(summation(summation($sum(c,summation(sK3)))),summation(summation($sum(c,summation(sK3)))),summation(summation(sK4)))
| ~ spl6_20
| spl6_98
| ~ spl6_147 ),
inference(forward_demodulation,[],[f2522,f1079]) ).
tff(f2518,plain,
( spl6_309
| ~ spl6_30
| ~ spl6_92
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f2514,f1078,f626,f205,f2516]) ).
tff(f2516,plain,
( spl6_309
<=> ! [X0: $int] : ~ ub(summation(summation(sK1(sK3,sK3,sK4))),X0,summation(summation(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_309])]) ).
tff(f2514,plain,
( ! [X0: $int] : ~ ub(summation(summation(sK1(sK3,sK3,sK4))),X0,summation(summation(sK3)))
| ~ spl6_30
| ~ spl6_92
| ~ spl6_147 ),
inference(forward_demodulation,[],[f2501,f1079]) ).
tff(f2513,plain,
( spl6_308
| ~ spl6_9
| ~ spl6_92
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f2509,f1078,f626,f120,f2511]) ).
tff(f2511,plain,
( spl6_308
<=> ! [X0: $int] : ~ ub(X0,summation(summation(sK1(sK3,sK3,sK4))),summation(summation(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_308])]) ).
tff(f2509,plain,
( ! [X0: $int] : ~ ub(X0,summation(summation(sK1(sK3,sK3,sK4))),summation(summation(sK3)))
| ~ spl6_9
| ~ spl6_92
| ~ spl6_147 ),
inference(forward_demodulation,[],[f2499,f1079]) ).
tff(f2508,plain,
( spl6_307
| ~ spl6_11
| ~ spl6_92
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f2503,f1078,f626,f128,f2505]) ).
tff(f2505,plain,
( spl6_307
<=> $less(summation(summation(summation(sK3))),summation(summation(summation(sK1(sK3,sK3,sK4))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_307])]) ).
tff(f2503,plain,
( $less(summation(summation(summation(sK3))),summation(summation(summation(sK1(sK3,sK3,sK4)))))
| ~ spl6_11
| ~ spl6_92
| ~ spl6_147 ),
inference(forward_demodulation,[],[f2500,f1079]) ).
tff(f2494,plain,
( spl6_306
| ~ spl6_30
| ~ spl6_231 ),
inference(avatar_split_clause,[],[f2476,f1736,f205,f2492]) ).
tff(f2492,plain,
( spl6_306
<=> ! [X0: $int] : ~ ub(sK4,X0,$sum(c,summation(sK1(sK3,sK3,sK4)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_306])]) ).
tff(f2476,plain,
( ! [X0: $int] : ~ ub(sK4,X0,$sum(c,summation(sK1(sK3,sK3,sK4))))
| ~ spl6_30
| ~ spl6_231 ),
inference(unit_resulting_resolution,[],[f1738,f206]) ).
tff(f2490,plain,
( ~ spl6_305
| ~ spl6_29
| ~ spl6_229
| ~ spl6_231 ),
inference(avatar_split_clause,[],[f2475,f1736,f1724,f201,f2487]) ).
tff(f2487,plain,
( spl6_305
<=> model_ub(sK3,sK3,$sum(c,summation(sK1(sK3,sK3,sK4)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_305])]) ).
tff(f2475,plain,
( ~ model_ub(sK3,sK3,$sum(c,summation(sK1(sK3,sK3,sK4))))
| ~ spl6_29
| ~ spl6_229
| ~ spl6_231 ),
inference(unit_resulting_resolution,[],[f1726,f1738,f202]) ).
tff(f2485,plain,
( spl6_304
| ~ spl6_9
| ~ spl6_231 ),
inference(avatar_split_clause,[],[f2473,f1736,f120,f2483]) ).
tff(f2483,plain,
( spl6_304
<=> ! [X0: $int] : ~ ub(X0,sK4,$sum(c,summation(sK1(sK3,sK3,sK4)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_304])]) ).
tff(f2473,plain,
( ! [X0: $int] : ~ ub(X0,sK4,$sum(c,summation(sK1(sK3,sK3,sK4))))
| ~ spl6_9
| ~ spl6_231 ),
inference(unit_resulting_resolution,[],[f1738,f121]) ).
tff(f2481,plain,
( spl6_303
| ~ spl6_11
| ~ spl6_231 ),
inference(avatar_split_clause,[],[f2474,f1736,f128,f2478]) ).
tff(f2478,plain,
( spl6_303
<=> $less(summation($sum(c,summation(sK1(sK3,sK3,sK4)))),summation(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_303])]) ).
tff(f2474,plain,
( $less(summation($sum(c,summation(sK1(sK3,sK3,sK4)))),summation(sK4))
| ~ spl6_11
| ~ spl6_231 ),
inference(unit_resulting_resolution,[],[f1738,f129]) ).
tff(f2456,plain,
( spl6_301
| ~ spl6_20
| ~ spl6_147
| spl6_161 ),
inference(avatar_split_clause,[],[f2455,f1189,f1078,f164,f2441]) ).
tff(f2441,plain,
( spl6_301
<=> ub(summation(summation(sK3)),summation(summation(sK3)),summation(summation(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_301])]) ).
tff(f1189,plain,
( spl6_161
<=> $less(summation(summation(sK5)),summation(summation(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_161])]) ).
tff(f2455,plain,
( ub(summation(summation(sK3)),summation(summation(sK3)),summation(summation(sK3)))
| ~ spl6_20
| ~ spl6_147
| spl6_161 ),
inference(forward_demodulation,[],[f2433,f1079]) ).
tff(f2433,plain,
( ub(summation(summation(sK3)),summation(summation(sK3)),summation(summation(sK5)))
| ~ spl6_20
| spl6_161 ),
inference(unit_resulting_resolution,[],[f1190,f1190,f165]) ).
tff(f1190,plain,
( ~ $less(summation(summation(sK5)),summation(summation(sK3)))
| spl6_161 ),
inference(avatar_component_clause,[],[f1189]) ).
tff(f2452,plain,
( spl6_302
| ~ spl6_25
| ~ spl6_147
| spl6_161 ),
inference(avatar_split_clause,[],[f2451,f1189,f1078,f184,f2447]) ).
tff(f2447,plain,
( spl6_302
<=> ( summation(summation(sK3)) = max(summation(summation(sK3)),summation(summation(sK3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_302])]) ).
tff(f2451,plain,
( ( summation(summation(sK3)) = max(summation(summation(sK3)),summation(summation(sK3))) )
| ~ spl6_25
| ~ spl6_147
| spl6_161 ),
inference(forward_demodulation,[],[f2435,f1079]) ).
tff(f2435,plain,
( ( max(summation(summation(sK3)),summation(summation(sK5))) = summation(summation(sK5)) )
| ~ spl6_25
| spl6_161 ),
inference(unit_resulting_resolution,[],[f1190,f185]) ).
tff(f2450,plain,
( spl6_302
| ~ spl6_28
| ~ spl6_147
| spl6_161 ),
inference(avatar_split_clause,[],[f2445,f1189,f1078,f196,f2447]) ).
tff(f2445,plain,
( ( summation(summation(sK3)) = max(summation(summation(sK3)),summation(summation(sK3))) )
| ~ spl6_28
| ~ spl6_147
| spl6_161 ),
inference(forward_demodulation,[],[f2436,f1079]) ).
tff(f2436,plain,
( ( max(summation(summation(sK5)),summation(summation(sK3))) = summation(summation(sK5)) )
| ~ spl6_28
| spl6_161 ),
inference(unit_resulting_resolution,[],[f1190,f197]) ).
tff(f2444,plain,
( spl6_301
| ~ spl6_20
| ~ spl6_147
| spl6_161 ),
inference(avatar_split_clause,[],[f2439,f1189,f1078,f164,f2441]) ).
tff(f2439,plain,
( ub(summation(summation(sK3)),summation(summation(sK3)),summation(summation(sK3)))
| ~ spl6_20
| ~ spl6_147
| spl6_161 ),
inference(forward_demodulation,[],[f2434,f1079]) ).
tff(f2434,plain,
( ub(summation(summation(sK3)),summation(summation(sK3)),summation(summation(sK5)))
| ~ spl6_20
| spl6_161 ),
inference(unit_resulting_resolution,[],[f1190,f1190,f165]) ).
tff(f2429,plain,
( spl6_298
| ~ spl6_147
| ~ spl6_153 ),
inference(avatar_split_clause,[],[f2428,f1128,f1078,f2404]) ).
tff(f2404,plain,
( spl6_298
<=> $less(sK1(sK3,sK3,sK2(sK3,sK3,sK4)),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_298])]) ).
tff(f1128,plain,
( spl6_153
<=> $less(sK1(sK3,sK5,sK2(sK3,sK5,sK4)),sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_153])]) ).
tff(f2428,plain,
( $less(sK1(sK3,sK3,sK2(sK3,sK3,sK4)),sK3)
| ~ spl6_147
| ~ spl6_153 ),
inference(forward_demodulation,[],[f1129,f1079]) ).
tff(f1129,plain,
( $less(sK1(sK3,sK5,sK2(sK3,sK5,sK4)),sK5)
| ~ spl6_153 ),
inference(avatar_component_clause,[],[f1128]) ).
tff(f2427,plain,
( ~ spl6_20
| spl6_125
| spl6_152
| spl6_153 ),
inference(avatar_contradiction_clause,[],[f2426]) ).
tff(f2426,plain,
( $false
| ~ spl6_20
| spl6_125
| spl6_152
| spl6_153 ),
inference(subsumption_resolution,[],[f2392,f1130]) ).
tff(f1130,plain,
( ~ $less(sK1(sK3,sK5,sK2(sK3,sK5,sK4)),sK5)
| spl6_153 ),
inference(avatar_component_clause,[],[f1128]) ).
tff(f2392,plain,
( $less(sK1(sK3,sK5,sK2(sK3,sK5,sK4)),sK5)
| ~ spl6_20
| spl6_125
| spl6_152 ),
inference(unit_resulting_resolution,[],[f888,f1125,f165]) ).
tff(f888,plain,
( ~ ub(sK3,sK5,sK1(sK3,sK5,sK2(sK3,sK5,sK4)))
| spl6_125 ),
inference(avatar_component_clause,[],[f887]) ).
tff(f887,plain,
( spl6_125
<=> ub(sK3,sK5,sK1(sK3,sK5,sK2(sK3,sK5,sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_125])]) ).
tff(f2425,plain,
( spl6_300
| ~ spl6_28
| ~ spl6_147
| spl6_152 ),
inference(avatar_split_clause,[],[f2420,f1123,f1078,f196,f2422]) ).
tff(f2422,plain,
( spl6_300
<=> ( max(sK1(sK3,sK3,sK2(sK3,sK3,sK4)),sK3) = sK1(sK3,sK3,sK2(sK3,sK3,sK4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_300])]) ).
tff(f2420,plain,
( ( max(sK1(sK3,sK3,sK2(sK3,sK3,sK4)),sK3) = sK1(sK3,sK3,sK2(sK3,sK3,sK4)) )
| ~ spl6_28
| ~ spl6_147
| spl6_152 ),
inference(forward_demodulation,[],[f2395,f1079]) ).
tff(f2395,plain,
( ( max(sK1(sK3,sK5,sK2(sK3,sK5,sK4)),sK3) = sK1(sK3,sK5,sK2(sK3,sK5,sK4)) )
| ~ spl6_28
| spl6_152 ),
inference(unit_resulting_resolution,[],[f1125,f197]) ).
tff(f2419,plain,
( ~ spl6_20
| ~ spl6_147
| spl6_152
| spl6_241 ),
inference(avatar_contradiction_clause,[],[f2418]) ).
tff(f2418,plain,
( $false
| ~ spl6_20
| ~ spl6_147
| spl6_152
| spl6_241 ),
inference(subsumption_resolution,[],[f2417,f1831]) ).
tff(f2417,plain,
( ub(sK3,sK3,sK1(sK3,sK3,sK2(sK3,sK3,sK4)))
| ~ spl6_20
| ~ spl6_147
| spl6_152 ),
inference(forward_demodulation,[],[f2393,f1079]) ).
tff(f2393,plain,
( ub(sK3,sK3,sK1(sK3,sK5,sK2(sK3,sK5,sK4)))
| ~ spl6_20
| spl6_152 ),
inference(unit_resulting_resolution,[],[f1125,f1125,f165]) ).
tff(f2416,plain,
( spl6_299
| ~ spl6_25
| ~ spl6_147
| spl6_152 ),
inference(avatar_split_clause,[],[f2411,f1123,f1078,f184,f2413]) ).
tff(f2413,plain,
( spl6_299
<=> ( max(sK3,sK1(sK3,sK3,sK2(sK3,sK3,sK4))) = sK1(sK3,sK3,sK2(sK3,sK3,sK4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_299])]) ).
tff(f2411,plain,
( ( max(sK3,sK1(sK3,sK3,sK2(sK3,sK3,sK4))) = sK1(sK3,sK3,sK2(sK3,sK3,sK4)) )
| ~ spl6_25
| ~ spl6_147
| spl6_152 ),
inference(forward_demodulation,[],[f2394,f1079]) ).
tff(f2394,plain,
( ( max(sK3,sK1(sK3,sK5,sK2(sK3,sK5,sK4))) = sK1(sK3,sK5,sK2(sK3,sK5,sK4)) )
| ~ spl6_25
| spl6_152 ),
inference(unit_resulting_resolution,[],[f1125,f185]) ).
tff(f2410,plain,
( ~ spl6_20
| ~ spl6_147
| spl6_152
| spl6_241 ),
inference(avatar_contradiction_clause,[],[f2409]) ).
tff(f2409,plain,
( $false
| ~ spl6_20
| ~ spl6_147
| spl6_152
| spl6_241 ),
inference(subsumption_resolution,[],[f2408,f1831]) ).
tff(f2408,plain,
( ub(sK3,sK3,sK1(sK3,sK3,sK2(sK3,sK3,sK4)))
| ~ spl6_20
| ~ spl6_147
| spl6_152 ),
inference(forward_demodulation,[],[f2391,f1079]) ).
tff(f2391,plain,
( ub(sK3,sK3,sK1(sK3,sK5,sK2(sK3,sK5,sK4)))
| ~ spl6_20
| spl6_152 ),
inference(unit_resulting_resolution,[],[f1125,f1125,f165]) ).
tff(f2407,plain,
( ~ spl6_298
| ~ spl6_147
| spl6_152 ),
inference(avatar_split_clause,[],[f2396,f1123,f1078,f2404]) ).
tff(f2396,plain,
( ~ $less(sK1(sK3,sK3,sK2(sK3,sK3,sK4)),sK3)
| ~ spl6_147
| spl6_152 ),
inference(superposition,[],[f1125,f1079]) ).
tff(f2402,plain,
( ~ spl6_297
| ~ spl6_10
| ~ spl6_147
| spl6_152 ),
inference(avatar_split_clause,[],[f2397,f1123,f1078,f124,f2399]) ).
tff(f2399,plain,
( spl6_297
<=> $less(summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4))),summation(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_297])]) ).
tff(f2397,plain,
( ~ $less(summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4))),summation(sK3))
| ~ spl6_10
| ~ spl6_147
| spl6_152 ),
inference(forward_demodulation,[],[f2390,f1079]) ).
tff(f2390,plain,
( ~ $less(summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4))),summation(sK3))
| ~ spl6_10
| spl6_152 ),
inference(unit_resulting_resolution,[],[f1125,f125]) ).
tff(f2389,plain,
( spl6_296
| ~ spl6_30
| ~ spl6_257 ),
inference(avatar_split_clause,[],[f2381,f2018,f205,f2387]) ).
tff(f2387,plain,
( spl6_296
<=> ! [X0: $int] : ~ ub(sK1(sK3,sK3,sK4),X0,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_296])]) ).
tff(f2018,plain,
( spl6_257
<=> $less(sK3,sK1(sK3,sK3,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_257])]) ).
tff(f2381,plain,
( ! [X0: $int] : ~ ub(sK1(sK3,sK3,sK4),X0,sK3)
| ~ spl6_30
| ~ spl6_257 ),
inference(unit_resulting_resolution,[],[f2020,f206]) ).
tff(f2020,plain,
( $less(sK3,sK1(sK3,sK3,sK4))
| ~ spl6_257 ),
inference(avatar_component_clause,[],[f2018]) ).
tff(f2385,plain,
( spl6_295
| ~ spl6_9
| ~ spl6_257 ),
inference(avatar_split_clause,[],[f2379,f2018,f120,f2383]) ).
tff(f2383,plain,
( spl6_295
<=> ! [X0: $int] : ~ ub(X0,sK1(sK3,sK3,sK4),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_295])]) ).
tff(f2379,plain,
( ! [X0: $int] : ~ ub(X0,sK1(sK3,sK3,sK4),sK3)
| ~ spl6_9
| ~ spl6_257 ),
inference(unit_resulting_resolution,[],[f2020,f121]) ).
tff(f2378,plain,
( spl6_294
| ~ spl6_138
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f2374,f1078,f1009,f2376]) ).
tff(f2376,plain,
( spl6_294
<=> ! [X0: $int] : ~ ub(X0,summation(sK4),summation(sK2(sK3,sK3,sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_294])]) ).
tff(f1009,plain,
( spl6_138
<=> ! [X0: $int] : ~ ub(X0,summation(sK4),summation(sK2(sK3,sK5,sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_138])]) ).
tff(f2374,plain,
( ! [X0: $int] : ~ ub(X0,summation(sK4),summation(sK2(sK3,sK3,sK4)))
| ~ spl6_138
| ~ spl6_147 ),
inference(superposition,[],[f1010,f1079]) ).
tff(f1010,plain,
( ! [X0: $int] : ~ ub(X0,summation(sK4),summation(sK2(sK3,sK5,sK4)))
| ~ spl6_138 ),
inference(avatar_component_clause,[],[f1009]) ).
tff(f2373,plain,
( spl6_293
| ~ spl6_137
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f2369,f1078,f1005,f2371]) ).
tff(f2371,plain,
( spl6_293
<=> ! [X0: $int] : ~ ub(summation(sK4),X0,summation(sK2(sK3,sK3,sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_293])]) ).
tff(f1005,plain,
( spl6_137
<=> ! [X0: $int] : ~ ub(summation(sK4),X0,summation(sK2(sK3,sK5,sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_137])]) ).
tff(f2369,plain,
( ! [X0: $int] : ~ ub(summation(sK4),X0,summation(sK2(sK3,sK3,sK4)))
| ~ spl6_137
| ~ spl6_147 ),
inference(superposition,[],[f1006,f1079]) ).
tff(f1006,plain,
( ! [X0: $int] : ~ ub(summation(sK4),X0,summation(sK2(sK3,sK5,sK4)))
| ~ spl6_137 ),
inference(avatar_component_clause,[],[f1005]) ).
tff(f2368,plain,
( spl6_289
| ~ spl6_20
| spl6_43
| spl6_285 ),
inference(avatar_split_clause,[],[f2319,f2304,f281,f164,f2341]) ).
tff(f2341,plain,
( spl6_289
<=> ub(sK2(sK3,sK3,sK4),$sum(c,summation(sK3)),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_289])]) ).
tff(f2319,plain,
( ub(sK2(sK3,sK3,sK4),$sum(c,summation(sK3)),sK4)
| ~ spl6_20
| spl6_43
| spl6_285 ),
inference(unit_resulting_resolution,[],[f283,f2306,f165]) ).
tff(f2367,plain,
( ~ spl6_292
| ~ spl6_10
| spl6_285 ),
inference(avatar_split_clause,[],[f2317,f2304,f124,f2364]) ).
tff(f2364,plain,
( spl6_292
<=> $less(summation(sK4),summation(sK2(sK3,sK3,sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_292])]) ).
tff(f2317,plain,
( ~ $less(summation(sK4),summation(sK2(sK3,sK3,sK4)))
| ~ spl6_10
| spl6_285 ),
inference(unit_resulting_resolution,[],[f2306,f125]) ).
tff(f2362,plain,
( spl6_291
| ~ spl6_20
| spl6_285 ),
inference(avatar_split_clause,[],[f2321,f2304,f164,f2355]) ).
tff(f2355,plain,
( spl6_291
<=> ub(sK2(sK3,sK3,sK4),sK2(sK3,sK3,sK4),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_291])]) ).
tff(f2321,plain,
( ub(sK2(sK3,sK3,sK4),sK2(sK3,sK3,sK4),sK4)
| ~ spl6_20
| spl6_285 ),
inference(unit_resulting_resolution,[],[f2306,f2306,f165]) ).
tff(f2361,plain,
( spl6_289
| ~ spl6_20
| spl6_36
| ~ spl6_46
| ~ spl6_147
| spl6_285 ),
inference(avatar_split_clause,[],[f2360,f2304,f1078,f298,f239,f164,f2341]) ).
tff(f2360,plain,
( ub(sK2(sK3,sK3,sK4),$sum(c,summation(sK3)),sK4)
| ~ spl6_20
| spl6_36
| ~ spl6_46
| ~ spl6_147
| spl6_285 ),
inference(forward_demodulation,[],[f2359,f1079]) ).
tff(f2359,plain,
( ub(sK2(sK3,sK3,sK4),$sum(c,summation(sK5)),sK4)
| ~ spl6_20
| spl6_36
| ~ spl6_46
| spl6_285 ),
inference(forward_demodulation,[],[f2318,f300]) ).
tff(f2358,plain,
( spl6_291
| ~ spl6_20
| spl6_285 ),
inference(avatar_split_clause,[],[f2325,f2304,f164,f2355]) ).
tff(f2325,plain,
( ub(sK2(sK3,sK3,sK4),sK2(sK3,sK3,sK4),sK4)
| ~ spl6_20
| spl6_285 ),
inference(unit_resulting_resolution,[],[f2306,f2306,f165]) ).
tff(f2353,plain,
( spl6_287
| ~ spl6_20
| spl6_43
| spl6_285 ),
inference(avatar_split_clause,[],[f2323,f2304,f281,f164,f2330]) ).
tff(f2330,plain,
( spl6_287
<=> ub($sum(c,summation(sK3)),sK2(sK3,sK3,sK4),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_287])]) ).
tff(f2323,plain,
( ub($sum(c,summation(sK3)),sK2(sK3,sK3,sK4),sK4)
| ~ spl6_20
| spl6_43
| spl6_285 ),
inference(unit_resulting_resolution,[],[f283,f2306,f165]) ).
tff(f2352,plain,
( spl6_287
| ~ spl6_20
| spl6_36
| ~ spl6_46
| ~ spl6_147
| spl6_285 ),
inference(avatar_split_clause,[],[f2351,f2304,f1078,f298,f239,f164,f2330]) ).
tff(f2351,plain,
( ub($sum(c,summation(sK3)),sK2(sK3,sK3,sK4),sK4)
| ~ spl6_20
| spl6_36
| ~ spl6_46
| ~ spl6_147
| spl6_285 ),
inference(forward_demodulation,[],[f2350,f1079]) ).
tff(f2350,plain,
( ub($sum(c,summation(sK5)),sK2(sK3,sK3,sK4),sK4)
| ~ spl6_20
| spl6_36
| ~ spl6_46
| spl6_285 ),
inference(forward_demodulation,[],[f2322,f300]) ).
tff(f2349,plain,
( spl6_290
| ~ spl6_25
| spl6_285 ),
inference(avatar_split_clause,[],[f2326,f2304,f184,f2346]) ).
tff(f2346,plain,
( spl6_290
<=> ( max(sK2(sK3,sK3,sK4),sK4) = sK4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_290])]) ).
tff(f2326,plain,
( ( max(sK2(sK3,sK3,sK4),sK4) = sK4 )
| ~ spl6_25
| spl6_285 ),
inference(unit_resulting_resolution,[],[f2306,f185]) ).
tff(f2344,plain,
( spl6_289
| ~ spl6_20
| spl6_39
| ~ spl6_147
| spl6_285 ),
inference(avatar_split_clause,[],[f2339,f2304,f1078,f258,f164,f2341]) ).
tff(f2339,plain,
( ub(sK2(sK3,sK3,sK4),$sum(c,summation(sK3)),sK4)
| ~ spl6_20
| spl6_39
| ~ spl6_147
| spl6_285 ),
inference(forward_demodulation,[],[f2320,f1079]) ).
tff(f2338,plain,
( spl6_288
| ~ spl6_28
| spl6_285 ),
inference(avatar_split_clause,[],[f2327,f2304,f196,f2335]) ).
tff(f2335,plain,
( spl6_288
<=> ( sK4 = max(sK4,sK2(sK3,sK3,sK4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_288])]) ).
tff(f2327,plain,
( ( sK4 = max(sK4,sK2(sK3,sK3,sK4)) )
| ~ spl6_28
| spl6_285 ),
inference(unit_resulting_resolution,[],[f2306,f197]) ).
tff(f2333,plain,
( spl6_287
| ~ spl6_20
| spl6_39
| ~ spl6_147
| spl6_285 ),
inference(avatar_split_clause,[],[f2328,f2304,f1078,f258,f164,f2330]) ).
tff(f2328,plain,
( ub($sum(c,summation(sK3)),sK2(sK3,sK3,sK4),sK4)
| ~ spl6_20
| spl6_39
| ~ spl6_147
| spl6_285 ),
inference(forward_demodulation,[],[f2324,f1079]) ).
tff(f2312,plain,
( spl6_286
| ~ spl6_9
| ~ spl6_132
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f2308,f1078,f974,f120,f2310]) ).
tff(f2310,plain,
( spl6_286
<=> ! [X0: $int] : ~ ub(X0,$sum(c,summation(sK3)),sK2(sK3,sK3,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_286])]) ).
tff(f2308,plain,
( ! [X0: $int] : ~ ub(X0,$sum(c,summation(sK3)),sK2(sK3,sK3,sK4))
| ~ spl6_9
| ~ spl6_132
| ~ spl6_147 ),
inference(forward_demodulation,[],[f2280,f1079]) ).
tff(f2307,plain,
( ~ spl6_285
| ~ spl6_4
| spl6_43
| ~ spl6_132
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f2302,f1078,f974,f281,f99,f2304]) ).
tff(f2302,plain,
( ~ $less(sK4,sK2(sK3,sK3,sK4))
| ~ spl6_4
| spl6_43
| ~ spl6_132
| ~ spl6_147 ),
inference(forward_demodulation,[],[f2277,f1079]) ).
tff(f2301,plain,
( ~ spl6_284
| ~ spl6_4
| spl6_126
| ~ spl6_132
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f2296,f1078,f974,f892,f99,f2298]) ).
tff(f2298,plain,
( spl6_284
<=> $less(summation(sK3),summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_284])]) ).
tff(f2296,plain,
( ~ $less(summation(sK3),summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4))))
| ~ spl6_4
| spl6_126
| ~ spl6_132
| ~ spl6_147 ),
inference(forward_demodulation,[],[f2284,f1079]) ).
tff(f2295,plain,
( spl6_283
| ~ spl6_11
| ~ spl6_132
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f2290,f1078,f974,f128,f2292]) ).
tff(f2292,plain,
( spl6_283
<=> $less(summation(sK2(sK3,sK3,sK4)),summation($sum(c,summation(sK3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_283])]) ).
tff(f2290,plain,
( $less(summation(sK2(sK3,sK3,sK4)),summation($sum(c,summation(sK3))))
| ~ spl6_11
| ~ spl6_132
| ~ spl6_147 ),
inference(forward_demodulation,[],[f2281,f1079]) ).
tff(f2289,plain,
( spl6_282
| ~ spl6_30
| ~ spl6_132
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f2285,f1078,f974,f205,f2287]) ).
tff(f2287,plain,
( spl6_282
<=> ! [X0: $int] : ~ ub($sum(c,summation(sK3)),X0,sK2(sK3,sK3,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_282])]) ).
tff(f2285,plain,
( ! [X0: $int] : ~ ub($sum(c,summation(sK3)),X0,sK2(sK3,sK3,sK4))
| ~ spl6_30
| ~ spl6_132
| ~ spl6_147 ),
inference(forward_demodulation,[],[f2282,f1079]) ).
tff(f2276,plain,
( spl6_281
| ~ spl6_28
| spl6_240 ),
inference(avatar_split_clause,[],[f2266,f1824,f196,f2273]) ).
tff(f2273,plain,
( spl6_281
<=> ( sK1(sK3,sK3,sK4) = max(sK1(sK3,sK3,sK4),sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_281])]) ).
tff(f1824,plain,
( spl6_240
<=> $less(sK1(sK3,sK3,sK4),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_240])]) ).
tff(f2266,plain,
( ( sK1(sK3,sK3,sK4) = max(sK1(sK3,sK3,sK4),sK3) )
| ~ spl6_28
| spl6_240 ),
inference(unit_resulting_resolution,[],[f1826,f197]) ).
tff(f1826,plain,
( ~ $less(sK1(sK3,sK3,sK4),sK3)
| spl6_240 ),
inference(avatar_component_clause,[],[f1824]) ).
tff(f2271,plain,
( spl6_280
| ~ spl6_25
| spl6_240 ),
inference(avatar_split_clause,[],[f2265,f1824,f184,f2268]) ).
tff(f2268,plain,
( spl6_280
<=> ( max(sK3,sK1(sK3,sK3,sK4)) = sK1(sK3,sK3,sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_280])]) ).
tff(f2265,plain,
( ( max(sK3,sK1(sK3,sK3,sK4)) = sK1(sK3,sK3,sK4) )
| ~ spl6_25
| spl6_240 ),
inference(unit_resulting_resolution,[],[f1826,f185]) ).
tff(f2261,plain,
( ~ spl6_279
| spl6_104
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f2256,f1078,f719,f2258]) ).
tff(f2258,plain,
( spl6_279
<=> ( sK4 = $sum(c,summation(sK1(sK3,sK3,sK4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_279])]) ).
tff(f2256,plain,
( ( sK4 != $sum(c,summation(sK1(sK3,sK3,sK4))) )
| spl6_104
| ~ spl6_147 ),
inference(superposition,[],[f720,f1079]) ).
tff(f2255,plain,
( spl6_278
| ~ spl6_9
| ~ spl6_111
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f2251,f1078,f773,f120,f2253]) ).
tff(f2253,plain,
( spl6_278
<=> ! [X0: $int] : ~ ub(X0,summation(sK4),summation($sum(c,summation(sK3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_278])]) ).
tff(f2251,plain,
( ! [X0: $int] : ~ ub(X0,summation(sK4),summation($sum(c,summation(sK3))))
| ~ spl6_9
| ~ spl6_111
| ~ spl6_147 ),
inference(forward_demodulation,[],[f2236,f1079]) ).
tff(f2250,plain,
( spl6_277
| ~ spl6_11
| ~ spl6_111
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f2245,f1078,f773,f128,f2247]) ).
tff(f2247,plain,
( spl6_277
<=> $less(summation(summation($sum(c,summation(sK3)))),summation(summation(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_277])]) ).
tff(f2245,plain,
( $less(summation(summation($sum(c,summation(sK3)))),summation(summation(sK4)))
| ~ spl6_11
| ~ spl6_111
| ~ spl6_147 ),
inference(forward_demodulation,[],[f2237,f1079]) ).
tff(f2244,plain,
( spl6_276
| ~ spl6_30
| ~ spl6_111
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f2240,f1078,f773,f205,f2242]) ).
tff(f2242,plain,
( spl6_276
<=> ! [X0: $int] : ~ ub(summation(sK4),X0,summation($sum(c,summation(sK3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_276])]) ).
tff(f2240,plain,
( ! [X0: $int] : ~ ub(summation(sK4),X0,summation($sum(c,summation(sK3))))
| ~ spl6_30
| ~ spl6_111
| ~ spl6_147 ),
inference(forward_demodulation,[],[f2238,f1079]) ).
tff(f2234,plain,
( spl6_275
| ~ spl6_23
| ~ spl6_109 ),
inference(avatar_split_clause,[],[f2230,f756,f176,f2232]) ).
tff(f2232,plain,
( spl6_275
<=> ! [X0: $int] :
( ~ $less(X0,$sum(c,summation(summation(sK4))))
| ~ model_max(summation(sK4),summation(sK4),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_275])]) ).
tff(f756,plain,
( spl6_109
<=> ( summation(sK4) = max(summation(sK4),summation(sK4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_109])]) ).
tff(f2230,plain,
( ! [X0: $int] :
( ~ $less(X0,$sum(c,summation(summation(sK4))))
| ~ model_max(summation(sK4),summation(sK4),X0) )
| ~ spl6_23
| ~ spl6_109 ),
inference(superposition,[],[f177,f758]) ).
tff(f758,plain,
( ( summation(sK4) = max(summation(sK4),summation(sK4)) )
| ~ spl6_109 ),
inference(avatar_component_clause,[],[f756]) ).
tff(f2229,plain,
( ~ spl6_28
| spl6_109 ),
inference(avatar_contradiction_clause,[],[f2228]) ).
tff(f2228,plain,
( $false
| ~ spl6_28
| spl6_109 ),
inference(evaluation,[],[f2227]) ).
tff(f2227,plain,
( $less(0,0)
| ~ spl6_28
| spl6_109 ),
inference(cancellation,[],[f2213]) ).
tff(f2213,plain,
( $less(summation(sK4),summation(sK4))
| ~ spl6_28
| spl6_109 ),
inference(unit_resulting_resolution,[],[f757,f197]) ).
tff(f757,plain,
( ( summation(sK4) != max(summation(sK4),summation(sK4)) )
| spl6_109 ),
inference(avatar_component_clause,[],[f756]) ).
tff(f2226,plain,
( ~ spl6_28
| spl6_109 ),
inference(avatar_contradiction_clause,[],[f2225]) ).
tff(f2225,plain,
( $false
| ~ spl6_28
| spl6_109 ),
inference(evaluation,[],[f2224]) ).
tff(f2224,plain,
( $less(0,0)
| ~ spl6_28
| spl6_109 ),
inference(cancellation,[],[f2223]) ).
tff(f2223,plain,
( $less(summation(sK4),summation(sK4))
| ~ spl6_28
| spl6_109 ),
inference(trivial_inequality_removal,[],[f2214]) ).
tff(f2214,plain,
( ( summation(sK4) != summation(sK4) )
| $less(summation(sK4),summation(sK4))
| ~ spl6_28
| spl6_109 ),
inference(superposition,[],[f757,f197]) ).
tff(f2222,plain,
( ~ spl6_25
| spl6_109 ),
inference(avatar_contradiction_clause,[],[f2221]) ).
tff(f2221,plain,
( $false
| ~ spl6_25
| spl6_109 ),
inference(evaluation,[],[f2220]) ).
tff(f2220,plain,
( $less(0,0)
| ~ spl6_25
| spl6_109 ),
inference(cancellation,[],[f2212]) ).
tff(f2212,plain,
( $less(summation(sK4),summation(sK4))
| ~ spl6_25
| spl6_109 ),
inference(unit_resulting_resolution,[],[f757,f185]) ).
tff(f2219,plain,
( ~ spl6_25
| spl6_109 ),
inference(avatar_contradiction_clause,[],[f2218]) ).
tff(f2218,plain,
( $false
| ~ spl6_25
| spl6_109 ),
inference(evaluation,[],[f2217]) ).
tff(f2217,plain,
( $less(0,0)
| ~ spl6_25
| spl6_109 ),
inference(cancellation,[],[f2216]) ).
tff(f2216,plain,
( $less(summation(sK4),summation(sK4))
| ~ spl6_25
| spl6_109 ),
inference(trivial_inequality_removal,[],[f2215]) ).
tff(f2215,plain,
( ( summation(sK4) != summation(sK4) )
| $less(summation(sK4),summation(sK4))
| ~ spl6_25
| spl6_109 ),
inference(superposition,[],[f757,f185]) ).
tff(f2172,plain,
( spl6_274
| ~ spl6_25
| spl6_77
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f2167,f1078,f509,f184,f2169]) ).
tff(f2169,plain,
( spl6_274
<=> ( max(summation(sK3),summation(sK1(sK3,sK3,sK4))) = summation(sK1(sK3,sK3,sK4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_274])]) ).
tff(f2167,plain,
( ( max(summation(sK3),summation(sK1(sK3,sK3,sK4))) = summation(sK1(sK3,sK3,sK4)) )
| ~ spl6_25
| spl6_77
| ~ spl6_147 ),
inference(forward_demodulation,[],[f2139,f1079]) ).
tff(f2166,plain,
( spl6_273
| ~ spl6_20
| spl6_77
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f2165,f1078,f509,f164,f2161]) ).
tff(f2161,plain,
( spl6_273
<=> ub(summation(sK3),summation(sK3),summation(sK1(sK3,sK3,sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_273])]) ).
tff(f2165,plain,
( ub(summation(sK3),summation(sK3),summation(sK1(sK3,sK3,sK4)))
| ~ spl6_20
| spl6_77
| ~ spl6_147 ),
inference(forward_demodulation,[],[f2138,f1079]) ).
tff(f2164,plain,
( spl6_273
| ~ spl6_20
| spl6_77
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f2159,f1078,f509,f164,f2161]) ).
tff(f2159,plain,
( ub(summation(sK3),summation(sK3),summation(sK1(sK3,sK3,sK4)))
| ~ spl6_20
| spl6_77
| ~ spl6_147 ),
inference(forward_demodulation,[],[f2137,f1079]) ).
tff(f2158,plain,
( spl6_272
| ~ spl6_28
| spl6_77
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f2153,f1078,f509,f196,f2155]) ).
tff(f2155,plain,
( spl6_272
<=> ( max(summation(sK1(sK3,sK3,sK4)),summation(sK3)) = summation(sK1(sK3,sK3,sK4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_272])]) ).
tff(f2153,plain,
( ( max(summation(sK1(sK3,sK3,sK4)),summation(sK3)) = summation(sK1(sK3,sK3,sK4)) )
| ~ spl6_28
| spl6_77
| ~ spl6_147 ),
inference(forward_demodulation,[],[f2140,f1079]) ).
tff(f2152,plain,
( ~ spl6_271
| spl6_77
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f2141,f1078,f509,f2149]) ).
tff(f2149,plain,
( spl6_271
<=> $less(summation(sK1(sK3,sK3,sK4)),summation(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_271])]) ).
tff(f2141,plain,
( ~ $less(summation(sK1(sK3,sK3,sK4)),summation(sK3))
| spl6_77
| ~ spl6_147 ),
inference(superposition,[],[f511,f1079]) ).
tff(f2147,plain,
( ~ spl6_270
| ~ spl6_10
| spl6_77
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f2142,f1078,f509,f124,f2144]) ).
tff(f2144,plain,
( spl6_270
<=> $less(summation(summation(sK1(sK3,sK3,sK4))),summation(summation(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_270])]) ).
tff(f2142,plain,
( ~ $less(summation(summation(sK1(sK3,sK3,sK4))),summation(summation(sK3)))
| ~ spl6_10
| spl6_77
| ~ spl6_147 ),
inference(forward_demodulation,[],[f2136,f1079]) ).
tff(f2134,plain,
( spl6_269
| ~ spl6_9
| ~ spl6_76
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f2130,f1078,f499,f120,f2132]) ).
tff(f2132,plain,
( spl6_269
<=> ! [X0: $int] : ~ ub(X0,summation(sK1(sK3,sK3,sK4)),summation(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_269])]) ).
tff(f2130,plain,
( ! [X0: $int] : ~ ub(X0,summation(sK1(sK3,sK3,sK4)),summation(sK3))
| ~ spl6_9
| ~ spl6_76
| ~ spl6_147 ),
inference(forward_demodulation,[],[f2114,f1079]) ).
tff(f2129,plain,
( spl6_268
| ~ spl6_30
| ~ spl6_76
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f2125,f1078,f499,f205,f2127]) ).
tff(f2127,plain,
( spl6_268
<=> ! [X0: $int] : ~ ub(summation(sK1(sK3,sK3,sK4)),X0,summation(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_268])]) ).
tff(f2125,plain,
( ! [X0: $int] : ~ ub(summation(sK1(sK3,sK3,sK4)),X0,summation(sK3))
| ~ spl6_30
| ~ spl6_76
| ~ spl6_147 ),
inference(forward_demodulation,[],[f2116,f1079]) ).
tff(f2123,plain,
( spl6_267
| ~ spl6_11
| ~ spl6_76
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f2118,f1078,f499,f128,f2120]) ).
tff(f2120,plain,
( spl6_267
<=> $less(summation(summation(sK3)),summation(summation(sK1(sK3,sK3,sK4)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_267])]) ).
tff(f2118,plain,
( $less(summation(summation(sK3)),summation(summation(sK1(sK3,sK3,sK4))))
| ~ spl6_11
| ~ spl6_76
| ~ spl6_147 ),
inference(forward_demodulation,[],[f2115,f1079]) ).
tff(f2096,plain,
( ~ spl6_266
| ~ spl6_23
| ~ spl6_223
| ~ spl6_249 ),
inference(avatar_split_clause,[],[f2091,f1877,f1684,f176,f2093]) ).
tff(f2093,plain,
( spl6_266
<=> $less(sK0(sK3,sK4,sK3),$sum(c,summation(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_266])]) ).
tff(f1877,plain,
( spl6_249
<=> model_max(sK3,sK3,sK0(sK3,sK4,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_249])]) ).
tff(f2091,plain,
( ~ $less(sK0(sK3,sK4,sK3),$sum(c,summation(sK3)))
| ~ spl6_23
| ~ spl6_223
| ~ spl6_249 ),
inference(forward_demodulation,[],[f2089,f1686]) ).
tff(f2089,plain,
( ~ $less(sK0(sK3,sK4,sK3),$sum(c,summation(max(sK3,sK3))))
| ~ spl6_23
| ~ spl6_249 ),
inference(unit_resulting_resolution,[],[f1879,f177]) ).
tff(f1879,plain,
( model_max(sK3,sK3,sK0(sK3,sK4,sK3))
| ~ spl6_249 ),
inference(avatar_component_clause,[],[f1877]) ).
tff(f2088,plain,
( spl6_265
| ~ spl6_147
| ~ spl6_210 ),
inference(avatar_split_clause,[],[f2087,f1579,f1078,f2081]) ).
tff(f2081,plain,
( spl6_265
<=> model_max(sK3,sK1(sK3,sK3,sK4),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_265])]) ).
tff(f2087,plain,
( model_max(sK3,sK1(sK3,sK3,sK4),sK4)
| ~ spl6_147
| ~ spl6_210 ),
inference(forward_demodulation,[],[f1580,f1079]) ).
tff(f1580,plain,
( model_max(sK5,sK1(sK3,sK5,sK4),sK4)
| ~ spl6_210 ),
inference(avatar_component_clause,[],[f1579]) ).
tff(f2086,plain,
( spl6_265
| ~ spl6_147
| ~ spl6_209 ),
inference(avatar_split_clause,[],[f2085,f1564,f1078,f2081]) ).
tff(f2085,plain,
( model_max(sK3,sK1(sK3,sK3,sK4),sK4)
| ~ spl6_147
| ~ spl6_209 ),
inference(forward_demodulation,[],[f1565,f1079]) ).
tff(f1565,plain,
( model_max(sK3,sK1(sK3,sK5,sK4),sK4)
| ~ spl6_209 ),
inference(avatar_component_clause,[],[f1564]) ).
tff(f2084,plain,
( ~ spl6_265
| ~ spl6_147
| spl6_209 ),
inference(avatar_split_clause,[],[f2069,f1564,f1078,f2081]) ).
tff(f2069,plain,
( ~ model_max(sK3,sK1(sK3,sK3,sK4),sK4)
| ~ spl6_147
| spl6_209 ),
inference(superposition,[],[f1566,f1079]) ).
tff(f2079,plain,
( ~ spl6_264
| ~ spl6_14
| ~ spl6_147
| spl6_209 ),
inference(avatar_split_clause,[],[f2074,f1564,f1078,f140,f2076]) ).
tff(f2076,plain,
( spl6_264
<=> minsol_model_max(sK3,sK1(sK3,sK3,sK4),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_264])]) ).
tff(f2074,plain,
( ~ minsol_model_max(sK3,sK1(sK3,sK3,sK4),sK4)
| ~ spl6_14
| ~ spl6_147
| spl6_209 ),
inference(forward_demodulation,[],[f2068,f1079]) ).
tff(f2068,plain,
( ~ minsol_model_max(sK3,sK1(sK3,sK5,sK4),sK4)
| ~ spl6_14
| spl6_209 ),
inference(unit_resulting_resolution,[],[f1566,f141]) ).
tff(f2073,plain,
( ~ spl6_26
| ~ spl6_80
| ~ spl6_147
| spl6_180
| spl6_209 ),
inference(avatar_contradiction_clause,[],[f2072]) ).
tff(f2072,plain,
( $false
| ~ spl6_26
| ~ spl6_80
| ~ spl6_147
| spl6_180
| spl6_209 ),
inference(subsumption_resolution,[],[f2071,f1323]) ).
tff(f1323,plain,
( ~ $less(sK4,$sum(c,summation(sK1(sK3,sK3,sK4))))
| spl6_180 ),
inference(avatar_component_clause,[],[f1321]) ).
tff(f1321,plain,
( spl6_180
<=> $less(sK4,$sum(c,summation(sK1(sK3,sK3,sK4)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_180])]) ).
tff(f2071,plain,
( $less(sK4,$sum(c,summation(sK1(sK3,sK3,sK4))))
| ~ spl6_26
| ~ spl6_80
| ~ spl6_147
| spl6_209 ),
inference(forward_demodulation,[],[f2070,f1079]) ).
tff(f2070,plain,
( $less(sK4,$sum(c,summation(sK1(sK3,sK5,sK4))))
| ~ spl6_26
| ~ spl6_80
| spl6_209 ),
inference(forward_demodulation,[],[f2067,f527]) ).
tff(f2067,plain,
( $less(sK4,$sum(c,summation(max(sK3,sK1(sK3,sK5,sK4)))))
| ~ spl6_26
| spl6_209 ),
inference(unit_resulting_resolution,[],[f1566,f189]) ).
tff(f2064,plain,
( ~ spl6_26
| ~ spl6_78
| ~ spl6_147
| spl6_180
| spl6_208 ),
inference(avatar_contradiction_clause,[],[f2063]) ).
tff(f2063,plain,
( $false
| ~ spl6_26
| ~ spl6_78
| ~ spl6_147
| spl6_180
| spl6_208 ),
inference(subsumption_resolution,[],[f2062,f1323]) ).
tff(f2062,plain,
( $less(sK4,$sum(c,summation(sK1(sK3,sK3,sK4))))
| ~ spl6_26
| ~ spl6_78
| ~ spl6_147
| spl6_208 ),
inference(forward_demodulation,[],[f2061,f1079]) ).
tff(f2061,plain,
( $less(sK4,$sum(c,summation(sK1(sK3,sK5,sK4))))
| ~ spl6_26
| ~ spl6_78
| spl6_208 ),
inference(forward_demodulation,[],[f2047,f516]) ).
tff(f2047,plain,
( $less(sK4,$sum(c,summation(max(sK1(sK3,sK5,sK4),sK3))))
| ~ spl6_26
| spl6_208 ),
inference(unit_resulting_resolution,[],[f1561,f189]) ).
tff(f2060,plain,
( ~ spl6_263
| ~ spl6_14
| ~ spl6_147
| spl6_208 ),
inference(avatar_split_clause,[],[f2055,f1559,f1078,f140,f2057]) ).
tff(f2057,plain,
( spl6_263
<=> minsol_model_max(sK1(sK3,sK3,sK4),sK3,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_263])]) ).
tff(f2055,plain,
( ~ minsol_model_max(sK1(sK3,sK3,sK4),sK3,sK4)
| ~ spl6_14
| ~ spl6_147
| spl6_208 ),
inference(forward_demodulation,[],[f2048,f1079]) ).
tff(f2048,plain,
( ~ minsol_model_max(sK1(sK3,sK5,sK4),sK3,sK4)
| ~ spl6_14
| spl6_208 ),
inference(unit_resulting_resolution,[],[f1561,f141]) ).
tff(f2054,plain,
( ~ spl6_262
| ~ spl6_147
| spl6_208 ),
inference(avatar_split_clause,[],[f2049,f1559,f1078,f2051]) ).
tff(f2051,plain,
( spl6_262
<=> model_max(sK1(sK3,sK3,sK4),sK3,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_262])]) ).
tff(f2049,plain,
( ~ model_max(sK1(sK3,sK3,sK4),sK3,sK4)
| ~ spl6_147
| spl6_208 ),
inference(superposition,[],[f1561,f1079]) ).
tff(f2043,plain,
( spl6_261
| ~ spl6_9
| ~ spl6_250 ),
inference(avatar_split_clause,[],[f2022,f1882,f120,f2041]) ).
tff(f2041,plain,
( spl6_261
<=> ! [X0: $int] : ~ ub(X0,sK4,sK0(sK3,sK4,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_261])]) ).
tff(f2022,plain,
( ! [X0: $int] : ~ ub(X0,sK4,sK0(sK3,sK4,sK3))
| ~ spl6_9
| ~ spl6_250 ),
inference(unit_resulting_resolution,[],[f1884,f121]) ).
tff(f2039,plain,
( spl6_260
| ~ spl6_11
| ~ spl6_250 ),
inference(avatar_split_clause,[],[f2023,f1882,f128,f2036]) ).
tff(f2036,plain,
( spl6_260
<=> $less(summation(sK0(sK3,sK4,sK3)),summation(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_260])]) ).
tff(f2023,plain,
( $less(summation(sK0(sK3,sK4,sK3)),summation(sK4))
| ~ spl6_11
| ~ spl6_250 ),
inference(unit_resulting_resolution,[],[f1884,f129]) ).
tff(f2034,plain,
( spl6_259
| ~ spl6_30
| ~ spl6_250 ),
inference(avatar_split_clause,[],[f2025,f1882,f205,f2032]) ).
tff(f2032,plain,
( spl6_259
<=> ! [X0: $int] : ~ ub(sK4,X0,sK0(sK3,sK4,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_259])]) ).
tff(f2025,plain,
( ! [X0: $int] : ~ ub(sK4,X0,sK0(sK3,sK4,sK3))
| ~ spl6_30
| ~ spl6_250 ),
inference(unit_resulting_resolution,[],[f1884,f206]) ).
tff(f2030,plain,
( ~ spl6_258
| ~ spl6_29
| ~ spl6_229
| ~ spl6_250 ),
inference(avatar_split_clause,[],[f2024,f1882,f1724,f201,f2027]) ).
tff(f2024,plain,
( ~ model_ub(sK3,sK3,sK0(sK3,sK4,sK3))
| ~ spl6_29
| ~ spl6_229
| ~ spl6_250 ),
inference(unit_resulting_resolution,[],[f1726,f1884,f202]) ).
tff(f2021,plain,
( spl6_257
| ~ spl6_96
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f2016,f1078,f647,f2018]) ).
tff(f647,plain,
( spl6_96
<=> $less(sK5,sK1(sK3,sK5,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_96])]) ).
tff(f2016,plain,
( $less(sK3,sK1(sK3,sK3,sK4))
| ~ spl6_96
| ~ spl6_147 ),
inference(superposition,[],[f648,f1079]) ).
tff(f648,plain,
( $less(sK5,sK1(sK3,sK5,sK4))
| ~ spl6_96 ),
inference(avatar_component_clause,[],[f647]) ).
tff(f2011,plain,
( spl6_256
| ~ spl6_23
| ~ spl6_223 ),
inference(avatar_split_clause,[],[f2007,f1684,f176,f2009]) ).
tff(f2009,plain,
( spl6_256
<=> ! [X0: $int] :
( ~ $less(X0,$sum(c,summation(sK3)))
| ~ model_max(sK3,sK3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_256])]) ).
tff(f2007,plain,
( ! [X0: $int] :
( ~ $less(X0,$sum(c,summation(sK3)))
| ~ model_max(sK3,sK3,X0) )
| ~ spl6_23
| ~ spl6_223 ),
inference(superposition,[],[f177,f1686]) ).
tff(f1999,plain,
( spl6_255
| ~ spl6_20
| spl6_48
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f1998,f1078,f308,f164,f1993]) ).
tff(f1993,plain,
( spl6_255
<=> ub(summation(sK3),summation(sK3),summation(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_255])]) ).
tff(f1998,plain,
( ub(summation(sK3),summation(sK3),summation(sK3))
| ~ spl6_20
| spl6_48
| ~ spl6_147 ),
inference(forward_demodulation,[],[f1985,f1079]) ).
tff(f1985,plain,
( ub(summation(sK3),summation(sK3),summation(sK5))
| ~ spl6_20
| spl6_48 ),
inference(unit_resulting_resolution,[],[f310,f310,f165]) ).
tff(f1996,plain,
( spl6_255
| ~ spl6_20
| spl6_48
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f1991,f1078,f308,f164,f1993]) ).
tff(f1991,plain,
( ub(summation(sK3),summation(sK3),summation(sK3))
| ~ spl6_20
| spl6_48
| ~ spl6_147 ),
inference(forward_demodulation,[],[f1986,f1079]) ).
tff(f1986,plain,
( ub(summation(sK3),summation(sK3),summation(sK5))
| ~ spl6_20
| spl6_48 ),
inference(unit_resulting_resolution,[],[f310,f310,f165]) ).
tff(f1953,plain,
( ~ spl6_254
| spl6_64
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f1948,f1078,f415,f1950]) ).
tff(f1950,plain,
( spl6_254
<=> $less(summation(sK4),summation($sum(c,summation(sK1(sK3,sK3,sK4))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_254])]) ).
tff(f1948,plain,
( ~ $less(summation(sK4),summation($sum(c,summation(sK1(sK3,sK3,sK4)))))
| spl6_64
| ~ spl6_147 ),
inference(superposition,[],[f417,f1079]) ).
tff(f1935,plain,
( spl6_253
| ~ spl6_63
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f1925,f1078,f410,f1932]) ).
tff(f1932,plain,
( spl6_253
<=> ( sK4 = max($sum(c,summation(sK1(sK3,sK3,sK4))),sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_253])]) ).
tff(f1925,plain,
( ( sK4 = max($sum(c,summation(sK1(sK3,sK3,sK4))),sK4) )
| ~ spl6_63
| ~ spl6_147 ),
inference(superposition,[],[f412,f1079]) ).
tff(f1922,plain,
( spl6_252
| ~ spl6_62
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f1912,f1078,f405,f1919]) ).
tff(f1919,plain,
( spl6_252
<=> ( max(sK4,$sum(c,summation(sK1(sK3,sK3,sK4)))) = sK4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_252])]) ).
tff(f1912,plain,
( ( max(sK4,$sum(c,summation(sK1(sK3,sK3,sK4)))) = sK4 )
| ~ spl6_62
| ~ spl6_147 ),
inference(superposition,[],[f407,f1079]) ).
tff(f1903,plain,
( spl6_251
| ~ spl6_13
| ~ spl6_67
| ~ spl6_147
| spl6_234 ),
inference(avatar_split_clause,[],[f1898,f1763,f1078,f437,f136,f1900]) ).
tff(f1900,plain,
( spl6_251
<=> $less(sK2(sK3,sK3,sK4),$sum(c,summation(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_251])]) ).
tff(f1898,plain,
( $less(sK2(sK3,sK3,sK4),$sum(c,summation(sK3)))
| ~ spl6_13
| ~ spl6_67
| ~ spl6_147
| spl6_234 ),
inference(forward_demodulation,[],[f1896,f1079]) ).
tff(f1896,plain,
( $less(sK2(sK3,sK3,sK4),$sum(c,summation(sK5)))
| ~ spl6_13
| ~ spl6_67
| spl6_234 ),
inference(unit_resulting_resolution,[],[f439,f1765,f137]) ).
tff(f1885,plain,
( spl6_250
| ~ spl6_15
| spl6_226
| ~ spl6_232 ),
inference(avatar_split_clause,[],[f1875,f1744,f1705,f144,f1882]) ).
tff(f1705,plain,
( spl6_226
<=> minsol_model_max(sK3,sK3,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_226])]) ).
tff(f1875,plain,
( $less(sK0(sK3,sK4,sK3),sK4)
| ~ spl6_15
| spl6_226
| ~ spl6_232 ),
inference(unit_resulting_resolution,[],[f1707,f1746,f145]) ).
tff(f1707,plain,
( ~ minsol_model_max(sK3,sK3,sK4)
| spl6_226 ),
inference(avatar_component_clause,[],[f1705]) ).
tff(f1880,plain,
( spl6_249
| ~ spl6_2
| spl6_226
| ~ spl6_232 ),
inference(avatar_split_clause,[],[f1874,f1744,f1705,f91,f1877]) ).
tff(f1874,plain,
( model_max(sK3,sK3,sK0(sK3,sK4,sK3))
| ~ spl6_2
| spl6_226
| ~ spl6_232 ),
inference(unit_resulting_resolution,[],[f1707,f1746,f92]) ).
tff(f1872,plain,
( spl6_248
| ~ spl6_65
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f1777,f1078,f421,f1869]) ).
tff(f1869,plain,
( spl6_248
<=> $less(summation(sK3),summation(sK1(sK3,sK3,sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_248])]) ).
tff(f421,plain,
( spl6_65
<=> $less(summation(sK5),summation(sK1(sK3,sK5,sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_65])]) ).
tff(f1777,plain,
( $less(summation(sK3),summation(sK1(sK3,sK3,sK4)))
| ~ spl6_65
| ~ spl6_147 ),
inference(superposition,[],[f422,f1079]) ).
tff(f422,plain,
( $less(summation(sK5),summation(sK1(sK3,sK5,sK4)))
| ~ spl6_65 ),
inference(avatar_component_clause,[],[f421]) ).
tff(f1867,plain,
( ~ spl6_240
| spl6_57
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f1774,f1078,f366,f1824]) ).
tff(f1774,plain,
( ~ $less(sK1(sK3,sK3,sK4),sK3)
| spl6_57
| ~ spl6_147 ),
inference(superposition,[],[f368,f1079]) ).
tff(f1866,plain,
( ~ spl6_243
| spl6_61
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f1776,f1078,f394,f1840]) ).
tff(f1840,plain,
( spl6_243
<=> minsol_model_ub(sK3,sK3,$sum(c,summation(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_243])]) ).
tff(f394,plain,
( spl6_61
<=> minsol_model_ub(sK3,sK5,$sum(c,summation(sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_61])]) ).
tff(f1776,plain,
( ~ minsol_model_ub(sK3,sK3,$sum(c,summation(sK3)))
| spl6_61
| ~ spl6_147 ),
inference(superposition,[],[f396,f1079]) ).
tff(f396,plain,
( ~ minsol_model_ub(sK3,sK5,$sum(c,summation(sK5)))
| spl6_61 ),
inference(avatar_component_clause,[],[f394]) ).
tff(f1864,plain,
( ~ spl6_247
| spl6_122
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f1789,f1078,f864,f1861]) ).
tff(f1861,plain,
( spl6_247
<=> model_max(sK3,sK3,sK2(sK3,sK3,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_247])]) ).
tff(f1789,plain,
( ~ model_max(sK3,sK3,sK2(sK3,sK3,sK4))
| spl6_122
| ~ spl6_147 ),
inference(superposition,[],[f866,f1079]) ).
tff(f1858,plain,
( ~ spl6_246
| spl6_133
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f1794,f1078,f979,f1855]) ).
tff(f1855,plain,
( spl6_246
<=> minsol_model_max(sK3,sK3,sK2(sK3,sK3,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_246])]) ).
tff(f979,plain,
( spl6_133
<=> minsol_model_max(sK3,sK5,sK2(sK3,sK5,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_133])]) ).
tff(f1794,plain,
( ~ minsol_model_max(sK3,sK3,sK2(sK3,sK3,sK4))
| spl6_133
| ~ spl6_147 ),
inference(superposition,[],[f981,f1079]) ).
tff(f981,plain,
( ~ minsol_model_max(sK3,sK5,sK2(sK3,sK5,sK4))
| spl6_133 ),
inference(avatar_component_clause,[],[f979]) ).
tff(f1853,plain,
( ~ spl6_245
| ~ spl6_147
| spl6_202 ),
inference(avatar_split_clause,[],[f1795,f1495,f1078,f1850]) ).
tff(f1850,plain,
( spl6_245
<=> minsol_model_ub(sK3,sK3,sK2(sK3,sK3,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_245])]) ).
tff(f1795,plain,
( ~ minsol_model_ub(sK3,sK3,sK2(sK3,sK3,sK4))
| ~ spl6_147
| spl6_202 ),
inference(superposition,[],[f1497,f1079]) ).
tff(f1848,plain,
( spl6_244
| ~ spl6_147
| ~ spl6_203 ),
inference(avatar_split_clause,[],[f1796,f1500,f1078,f1845]) ).
tff(f1845,plain,
( spl6_244
<=> $less(sK2(sK3,sK3,sK4),$sum(c,summation(sK1(sK3,sK3,sK4)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_244])]) ).
tff(f1796,plain,
( $less(sK2(sK3,sK3,sK4),$sum(c,summation(sK1(sK3,sK3,sK4))))
| ~ spl6_147
| ~ spl6_203 ),
inference(superposition,[],[f1502,f1079]) ).
tff(f1843,plain,
( ~ spl6_243
| spl6_73
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f1780,f1078,f485,f1840]) ).
tff(f485,plain,
( spl6_73
<=> minsol_model_ub(sK3,sK5,$sum(c,summation(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_73])]) ).
tff(f1780,plain,
( ~ minsol_model_ub(sK3,sK3,$sum(c,summation(sK3)))
| spl6_73
| ~ spl6_147 ),
inference(superposition,[],[f487,f1079]) ).
tff(f487,plain,
( ~ minsol_model_ub(sK3,sK5,$sum(c,summation(sK3)))
| spl6_73 ),
inference(avatar_component_clause,[],[f485]) ).
tff(f1838,plain,
( ~ spl6_242
| ~ spl6_147
| spl6_206 ),
inference(avatar_split_clause,[],[f1797,f1530,f1078,f1835]) ).
tff(f1835,plain,
( spl6_242
<=> minsol_model_max(sK3,sK3,$sum(c,summation(sK1(sK3,sK3,sK4)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_242])]) ).
tff(f1530,plain,
( spl6_206
<=> minsol_model_max(sK3,sK5,$sum(c,summation(sK1(sK3,sK5,sK4)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_206])]) ).
tff(f1797,plain,
( ~ minsol_model_max(sK3,sK3,$sum(c,summation(sK1(sK3,sK3,sK4))))
| ~ spl6_147
| spl6_206 ),
inference(superposition,[],[f1532,f1079]) ).
tff(f1532,plain,
( ~ minsol_model_max(sK3,sK5,$sum(c,summation(sK1(sK3,sK5,sK4))))
| spl6_206 ),
inference(avatar_component_clause,[],[f1530]) ).
tff(f1832,plain,
( ~ spl6_241
| spl6_125
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f1792,f1078,f887,f1829]) ).
tff(f1792,plain,
( ~ ub(sK3,sK3,sK1(sK3,sK3,sK2(sK3,sK3,sK4)))
| spl6_125
| ~ spl6_147 ),
inference(superposition,[],[f888,f1079]) ).
tff(f1827,plain,
( ~ spl6_240
| spl6_58
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f1775,f1078,f371,f1824]) ).
tff(f1775,plain,
( ~ $less(sK1(sK3,sK3,sK4),sK3)
| spl6_58
| ~ spl6_147 ),
inference(superposition,[],[f373,f1079]) ).
tff(f1822,plain,
( spl6_239
| ~ spl6_124
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f1791,f1078,f873,f1820]) ).
tff(f873,plain,
( spl6_124
<=> ! [X0: $int] : ~ ub(X0,sK4,sK2(sK3,sK5,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_124])]) ).
tff(f1791,plain,
( ! [X0: $int] : ~ ub(X0,sK4,sK2(sK3,sK3,sK4))
| ~ spl6_124
| ~ spl6_147 ),
inference(superposition,[],[f874,f1079]) ).
tff(f874,plain,
( ! [X0: $int] : ~ ub(X0,sK4,sK2(sK3,sK5,sK4))
| ~ spl6_124 ),
inference(avatar_component_clause,[],[f873]) ).
tff(f1818,plain,
( spl6_238
| ~ spl6_123
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f1790,f1078,f869,f1816]) ).
tff(f869,plain,
( spl6_123
<=> ! [X0: $int] : ~ ub(sK4,X0,sK2(sK3,sK5,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_123])]) ).
tff(f1790,plain,
( ! [X0: $int] : ~ ub(sK4,X0,sK2(sK3,sK3,sK4))
| ~ spl6_123
| ~ spl6_147 ),
inference(superposition,[],[f870,f1079]) ).
tff(f870,plain,
( ! [X0: $int] : ~ ub(sK4,X0,sK2(sK3,sK5,sK4))
| ~ spl6_123 ),
inference(avatar_component_clause,[],[f869]) ).
tff(f1813,plain,
( spl6_237
| ~ spl6_121
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f1788,f1078,f859,f1810]) ).
tff(f1810,plain,
( spl6_237
<=> $less(summation(sK2(sK3,sK3,sK4)),summation(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_237])]) ).
tff(f1788,plain,
( $less(summation(sK2(sK3,sK3,sK4)),summation(sK4))
| ~ spl6_121
| ~ spl6_147 ),
inference(superposition,[],[f861,f1079]) ).
tff(f1808,plain,
( spl6_236
| ~ spl6_119
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f1786,f1078,f845,f1805]) ).
tff(f1786,plain,
( $less(sK2(sK3,sK3,sK4),sK4)
| ~ spl6_119
| ~ spl6_147 ),
inference(superposition,[],[f847,f1079]) ).
tff(f1803,plain,
( ~ spl6_235
| spl6_126
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f1793,f1078,f892,f1800]) ).
tff(f1793,plain,
( ~ $less(sK2(sK3,sK3,sK4),$sum(c,summation(sK1(sK3,sK3,sK2(sK3,sK3,sK4)))))
| spl6_126
| ~ spl6_147 ),
inference(superposition,[],[f894,f1079]) ).
tff(f1766,plain,
( ~ spl6_234
| ~ spl6_29
| ~ spl6_119
| ~ spl6_147
| ~ spl6_229 ),
inference(avatar_split_clause,[],[f1761,f1724,f1078,f845,f201,f1763]) ).
tff(f1761,plain,
( ~ model_ub(sK3,sK3,sK2(sK3,sK3,sK4))
| ~ spl6_29
| ~ spl6_119
| ~ spl6_147
| ~ spl6_229 ),
inference(forward_demodulation,[],[f1752,f1079]) ).
tff(f1752,plain,
( ~ model_ub(sK3,sK3,sK2(sK3,sK5,sK4))
| ~ spl6_29
| ~ spl6_119
| ~ spl6_229 ),
inference(unit_resulting_resolution,[],[f847,f1726,f202]) ).
tff(f1760,plain,
( ~ spl6_233
| ~ spl6_29
| ~ spl6_101
| ~ spl6_147
| ~ spl6_229 ),
inference(avatar_split_clause,[],[f1759,f1724,f1078,f692,f201,f1755]) ).
tff(f1759,plain,
( ~ model_ub(sK3,sK3,$sum(c,summation(sK3)))
| ~ spl6_29
| ~ spl6_101
| ~ spl6_147
| ~ spl6_229 ),
inference(forward_demodulation,[],[f1750,f1079]) ).
tff(f1750,plain,
( ~ model_ub(sK3,sK3,$sum(c,summation(sK5)))
| ~ spl6_29
| ~ spl6_101
| ~ spl6_229 ),
inference(unit_resulting_resolution,[],[f694,f1726,f202]) ).
tff(f1758,plain,
( ~ spl6_233
| ~ spl6_29
| ~ spl6_149
| ~ spl6_229 ),
inference(avatar_split_clause,[],[f1751,f1724,f1095,f201,f1755]) ).
tff(f1751,plain,
( ~ model_ub(sK3,sK3,$sum(c,summation(sK3)))
| ~ spl6_29
| ~ spl6_149
| ~ spl6_229 ),
inference(unit_resulting_resolution,[],[f1097,f1726,f202]) ).
tff(f1749,plain,
( spl6_232
| ~ spl6_35
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f1748,f1078,f231,f1744]) ).
tff(f1748,plain,
( model_max(sK3,sK3,sK4)
| ~ spl6_35
| ~ spl6_147 ),
inference(forward_demodulation,[],[f233,f1079]) ).
tff(f1747,plain,
( spl6_232
| ~ spl6_26
| spl6_36
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f1742,f1078,f239,f188,f1744]) ).
tff(f1742,plain,
( model_max(sK3,sK3,sK4)
| ~ spl6_26
| spl6_36
| ~ spl6_147 ),
inference(forward_demodulation,[],[f896,f1079]) ).
tff(f1739,plain,
( spl6_231
| ~ spl6_105
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f1734,f1078,f723,f1736]) ).
tff(f1734,plain,
( $less($sum(c,summation(sK1(sK3,sK3,sK4))),sK4)
| ~ spl6_105
| ~ spl6_147 ),
inference(forward_demodulation,[],[f725,f1079]) ).
tff(f1733,plain,
( spl6_230
| ~ spl6_66
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f1728,f1078,f427,f1730]) ).
tff(f1730,plain,
( spl6_230
<=> ub($sum(c,summation(sK1(sK3,sK3,sK4))),$sum(c,summation(sK1(sK3,sK3,sK4))),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_230])]) ).
tff(f427,plain,
( spl6_66
<=> ub($sum(c,summation(sK1(sK3,sK5,sK4))),$sum(c,summation(sK1(sK3,sK5,sK4))),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_66])]) ).
tff(f1728,plain,
( ub($sum(c,summation(sK1(sK3,sK3,sK4))),$sum(c,summation(sK1(sK3,sK3,sK4))),sK4)
| ~ spl6_66
| ~ spl6_147 ),
inference(forward_demodulation,[],[f429,f1079]) ).
tff(f429,plain,
( ub($sum(c,summation(sK1(sK3,sK5,sK4))),$sum(c,summation(sK1(sK3,sK5,sK4))),sK4)
| ~ spl6_66 ),
inference(avatar_component_clause,[],[f427]) ).
tff(f1727,plain,
( spl6_229
| ~ spl6_7
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f1722,f1078,f111,f1724]) ).
tff(f1722,plain,
( minsol_model_ub(sK3,sK3,sK4)
| ~ spl6_7
| ~ spl6_147 ),
inference(forward_demodulation,[],[f113,f1079]) ).
tff(f1721,plain,
( spl6_228
| ~ spl6_147
| ~ spl6_186 ),
inference(avatar_split_clause,[],[f1716,f1366,f1078,f1718]) ).
tff(f1718,plain,
( spl6_228
<=> ub(summation($sum(c,summation(sK3))),summation($sum(c,summation(sK1(sK3,sK3,sK4)))),summation(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_228])]) ).
tff(f1366,plain,
( spl6_186
<=> ub(summation($sum(c,summation(sK5))),summation($sum(c,summation(sK1(sK3,sK5,sK4)))),summation(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_186])]) ).
tff(f1716,plain,
( ub(summation($sum(c,summation(sK3))),summation($sum(c,summation(sK1(sK3,sK3,sK4)))),summation(sK4))
| ~ spl6_147
| ~ spl6_186 ),
inference(forward_demodulation,[],[f1368,f1079]) ).
tff(f1368,plain,
( ub(summation($sum(c,summation(sK5))),summation($sum(c,summation(sK1(sK3,sK5,sK4)))),summation(sK4))
| ~ spl6_186 ),
inference(avatar_component_clause,[],[f1366]) ).
tff(f1714,plain,
( spl6_227
| ~ spl6_117
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f1709,f1078,f822,f1711]) ).
tff(f1709,plain,
( ub(sK3,sK3,sK3)
| ~ spl6_117
| ~ spl6_147 ),
inference(forward_demodulation,[],[f823,f1079]) ).
tff(f1708,plain,
( ~ spl6_226
| spl6_8
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f1703,f1078,f115,f1705]) ).
tff(f1703,plain,
( ~ minsol_model_max(sK3,sK3,sK4)
| spl6_8
| ~ spl6_147 ),
inference(forward_demodulation,[],[f116,f1079]) ).
tff(f1700,plain,
( spl6_225
| ~ spl6_113
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f1695,f1078,f784,f1697]) ).
tff(f1697,plain,
( spl6_225
<=> ub(summation($sum(c,summation(sK1(sK3,sK3,sK4)))),summation($sum(c,summation(sK1(sK3,sK3,sK4)))),summation(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_225])]) ).
tff(f1695,plain,
( ub(summation($sum(c,summation(sK1(sK3,sK3,sK4)))),summation($sum(c,summation(sK1(sK3,sK3,sK4)))),summation(sK4))
| ~ spl6_113
| ~ spl6_147 ),
inference(forward_demodulation,[],[f786,f1079]) ).
tff(f786,plain,
( ub(summation($sum(c,summation(sK1(sK3,sK5,sK4)))),summation($sum(c,summation(sK1(sK3,sK5,sK4)))),summation(sK4))
| ~ spl6_113 ),
inference(avatar_component_clause,[],[f784]) ).
tff(f1694,plain,
( spl6_224
| ~ spl6_114
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f1689,f1078,f792,f1691]) ).
tff(f792,plain,
( spl6_114
<=> ( summation(sK4) = max(summation(sK4),summation($sum(c,summation(sK1(sK3,sK5,sK4))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_114])]) ).
tff(f1689,plain,
( ( max(summation(sK4),summation($sum(c,summation(sK1(sK3,sK3,sK4))))) = summation(sK4) )
| ~ spl6_114
| ~ spl6_147 ),
inference(forward_demodulation,[],[f794,f1079]) ).
tff(f794,plain,
( ( summation(sK4) = max(summation(sK4),summation($sum(c,summation(sK1(sK3,sK5,sK4))))) )
| ~ spl6_114 ),
inference(avatar_component_clause,[],[f792]) ).
tff(f1687,plain,
( spl6_223
| ~ spl6_70
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f1682,f1078,f459,f1684]) ).
tff(f1682,plain,
( ( sK3 = max(sK3,sK3) )
| ~ spl6_70
| ~ spl6_147 ),
inference(forward_demodulation,[],[f461,f1079]) ).
tff(f1679,plain,
( ~ spl6_26
| spl6_35
| spl6_36 ),
inference(avatar_contradiction_clause,[],[f1678]) ).
tff(f1678,plain,
( $false
| ~ spl6_26
| spl6_35
| spl6_36 ),
inference(subsumption_resolution,[],[f896,f232]) ).
tff(f232,plain,
( ~ model_max(sK3,sK5,sK4)
| spl6_35 ),
inference(avatar_component_clause,[],[f231]) ).
tff(f1677,plain,
( ~ spl6_20
| spl6_38
| spl6_201 ),
inference(avatar_contradiction_clause,[],[f1676]) ).
tff(f1676,plain,
( $false
| ~ spl6_20
| spl6_38
| spl6_201 ),
inference(evaluation,[],[f1675]) ).
tff(f1675,plain,
( $less(0,0)
| ~ spl6_20
| spl6_38
| spl6_201 ),
inference(cancellation,[],[f1674]) ).
tff(f1674,plain,
( $less(sK5,sK5)
| ~ spl6_20
| spl6_38
| spl6_201 ),
inference(unit_resulting_resolution,[],[f255,f1481,f165]) ).
tff(f1481,plain,
( ~ ub(sK3,sK5,sK5)
| spl6_201 ),
inference(avatar_component_clause,[],[f1479]) ).
tff(f1673,plain,
( spl6_177
| ~ spl6_13
| spl6_39
| ~ spl6_67 ),
inference(avatar_split_clause,[],[f1669,f437,f258,f136,f1298]) ).
tff(f1669,plain,
( model_ub(sK3,sK3,sK4)
| ~ spl6_13
| spl6_39
| ~ spl6_67 ),
inference(unit_resulting_resolution,[],[f260,f439,f137]) ).
tff(f1672,plain,
( ~ spl6_13
| spl6_39
| ~ spl6_67
| spl6_177 ),
inference(avatar_contradiction_clause,[],[f1671]) ).
tff(f1671,plain,
( $false
| ~ spl6_13
| spl6_39
| ~ spl6_67
| spl6_177 ),
inference(subsumption_resolution,[],[f1669,f1299]) ).
tff(f1299,plain,
( ~ model_ub(sK3,sK3,sK4)
| spl6_177 ),
inference(avatar_component_clause,[],[f1298]) ).
tff(f1667,plain,
( ~ spl6_222
| ~ spl6_41
| spl6_58
| ~ spl6_203 ),
inference(avatar_split_clause,[],[f1629,f1500,f371,f268,f1664]) ).
tff(f1629,plain,
( ~ model_max(sK5,sK1(sK3,sK5,sK4),sK2(sK3,sK5,sK4))
| ~ spl6_41
| spl6_58
| ~ spl6_203 ),
inference(unit_resulting_resolution,[],[f373,f1502,f269]) ).
tff(f1662,plain,
( ~ spl6_221
| ~ spl6_4
| spl6_126
| ~ spl6_203 ),
inference(avatar_split_clause,[],[f1634,f1500,f892,f99,f1659]) ).
tff(f1634,plain,
( ~ $less(summation(sK1(sK3,sK5,sK4)),summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4))))
| ~ spl6_4
| spl6_126
| ~ spl6_203 ),
inference(cancellation,[],[f1630]) ).
tff(f1630,plain,
( ~ $less($sum(c,summation(sK1(sK3,sK5,sK4))),$sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))))
| ~ spl6_4
| spl6_126
| ~ spl6_203 ),
inference(unit_resulting_resolution,[],[f894,f1502,f100]) ).
tff(f1657,plain,
( spl6_220
| ~ spl6_30
| ~ spl6_203 ),
inference(avatar_split_clause,[],[f1633,f1500,f205,f1655]) ).
tff(f1633,plain,
( ! [X0: $int] : ~ ub($sum(c,summation(sK1(sK3,sK5,sK4))),X0,sK2(sK3,sK5,sK4))
| ~ spl6_30
| ~ spl6_203 ),
inference(unit_resulting_resolution,[],[f1502,f206]) ).
tff(f1653,plain,
( ~ spl6_219
| ~ spl6_42
| spl6_57
| ~ spl6_203 ),
inference(avatar_split_clause,[],[f1626,f1500,f366,f277,f1650]) ).
tff(f1626,plain,
( ~ model_max(sK1(sK3,sK5,sK4),sK3,sK2(sK3,sK5,sK4))
| ~ spl6_42
| spl6_57
| ~ spl6_203 ),
inference(unit_resulting_resolution,[],[f368,f1502,f278]) ).
tff(f1648,plain,
( ~ spl6_218
| ~ spl6_42
| spl6_58
| ~ spl6_203 ),
inference(avatar_split_clause,[],[f1627,f1500,f371,f277,f1645]) ).
tff(f1627,plain,
( ~ model_max(sK1(sK3,sK5,sK4),sK5,sK2(sK3,sK5,sK4))
| ~ spl6_42
| spl6_58
| ~ spl6_203 ),
inference(unit_resulting_resolution,[],[f373,f1502,f278]) ).
tff(f1643,plain,
( ~ spl6_217
| ~ spl6_41
| spl6_57
| ~ spl6_203 ),
inference(avatar_split_clause,[],[f1628,f1500,f366,f268,f1640]) ).
tff(f1628,plain,
( ~ model_max(sK3,sK1(sK3,sK5,sK4),sK2(sK3,sK5,sK4))
| ~ spl6_41
| spl6_57
| ~ spl6_203 ),
inference(unit_resulting_resolution,[],[f368,f1502,f269]) ).
tff(f1638,plain,
( spl6_216
| ~ spl6_9
| ~ spl6_203 ),
inference(avatar_split_clause,[],[f1631,f1500,f120,f1636]) ).
tff(f1631,plain,
( ! [X0: $int] : ~ ub(X0,$sum(c,summation(sK1(sK3,sK5,sK4))),sK2(sK3,sK5,sK4))
| ~ spl6_9
| ~ spl6_203 ),
inference(unit_resulting_resolution,[],[f1502,f121]) ).
tff(f1625,plain,
( spl6_215
| ~ spl6_9
| ~ spl6_64 ),
inference(avatar_split_clause,[],[f1603,f415,f120,f1623]) ).
tff(f1623,plain,
( spl6_215
<=> ! [X0: $int] : ~ ub(X0,summation($sum(c,summation(sK1(sK3,sK5,sK4)))),summation(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_215])]) ).
tff(f1603,plain,
( ! [X0: $int] : ~ ub(X0,summation($sum(c,summation(sK1(sK3,sK5,sK4)))),summation(sK4))
| ~ spl6_9
| ~ spl6_64 ),
inference(unit_resulting_resolution,[],[f416,f121]) ).
tff(f416,plain,
( $less(summation(sK4),summation($sum(c,summation(sK1(sK3,sK5,sK4)))))
| ~ spl6_64 ),
inference(avatar_component_clause,[],[f415]) ).
tff(f1621,plain,
( spl6_214
| ~ spl6_30
| ~ spl6_64 ),
inference(avatar_split_clause,[],[f1605,f415,f205,f1619]) ).
tff(f1619,plain,
( spl6_214
<=> ! [X0: $int] : ~ ub(summation($sum(c,summation(sK1(sK3,sK5,sK4)))),X0,summation(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_214])]) ).
tff(f1605,plain,
( ! [X0: $int] : ~ ub(summation($sum(c,summation(sK1(sK3,sK5,sK4)))),X0,summation(sK4))
| ~ spl6_30
| ~ spl6_64 ),
inference(unit_resulting_resolution,[],[f416,f206]) ).
tff(f1617,plain,
( ~ spl6_212
| ~ spl6_4
| spl6_37
| ~ spl6_46
| ~ spl6_64 ),
inference(avatar_split_clause,[],[f1616,f415,f298,f246,f99,f1607]) ).
tff(f1607,plain,
( spl6_212
<=> $less(summation($sum(c,summation(sK1(sK3,sK5,sK4)))),summation($sum(c,summation(sK5)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_212])]) ).
tff(f1616,plain,
( ~ $less(summation($sum(c,summation(sK1(sK3,sK5,sK4)))),summation($sum(c,summation(sK5))))
| ~ spl6_4
| spl6_37
| ~ spl6_46
| ~ spl6_64 ),
inference(forward_demodulation,[],[f1602,f300]) ).
tff(f1602,plain,
( ~ $less(summation($sum(c,summation(sK1(sK3,sK5,sK4)))),summation($sum(c,summation(max(sK3,sK5)))))
| ~ spl6_4
| spl6_37
| ~ spl6_64 ),
inference(unit_resulting_resolution,[],[f248,f416,f100]) ).
tff(f1615,plain,
( spl6_213
| ~ spl6_4
| ~ spl6_64
| ~ spl6_121 ),
inference(avatar_split_clause,[],[f1600,f859,f415,f99,f1612]) ).
tff(f1600,plain,
( $less(summation(sK2(sK3,sK5,sK4)),summation($sum(c,summation(sK1(sK3,sK5,sK4)))))
| ~ spl6_4
| ~ spl6_64
| ~ spl6_121 ),
inference(unit_resulting_resolution,[],[f861,f416,f100]) ).
tff(f1610,plain,
( ~ spl6_212
| ~ spl6_4
| ~ spl6_64
| spl6_71 ),
inference(avatar_split_clause,[],[f1601,f470,f415,f99,f1607]) ).
tff(f470,plain,
( spl6_71
<=> $less(summation(sK4),summation($sum(c,summation(sK5)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_71])]) ).
tff(f1601,plain,
( ~ $less(summation($sum(c,summation(sK1(sK3,sK5,sK4)))),summation($sum(c,summation(sK5))))
| ~ spl6_4
| ~ spl6_64
| spl6_71 ),
inference(unit_resulting_resolution,[],[f471,f416,f100]) ).
tff(f471,plain,
( ~ $less(summation(sK4),summation($sum(c,summation(sK5))))
| spl6_71 ),
inference(avatar_component_clause,[],[f470]) ).
tff(f1587,plain,
( ~ spl6_211
| ~ spl6_42
| ~ spl6_54
| spl6_58 ),
inference(avatar_split_clause,[],[f1577,f371,f346,f277,f1584]) ).
tff(f1577,plain,
( ~ model_max(sK1(sK3,sK5,sK4),sK5,sK4)
| ~ spl6_42
| ~ spl6_54
| spl6_58 ),
inference(unit_resulting_resolution,[],[f347,f373,f278]) ).
tff(f347,plain,
( $less(sK4,$sum(c,summation(sK1(sK3,sK5,sK4))))
| ~ spl6_54 ),
inference(avatar_component_clause,[],[f346]) ).
tff(f1582,plain,
( ~ spl6_210
| ~ spl6_41
| ~ spl6_54
| spl6_58 ),
inference(avatar_split_clause,[],[f1576,f371,f346,f268,f1579]) ).
tff(f1576,plain,
( ~ model_max(sK5,sK1(sK3,sK5,sK4),sK4)
| ~ spl6_41
| ~ spl6_54
| spl6_58 ),
inference(unit_resulting_resolution,[],[f347,f373,f269]) ).
tff(f1567,plain,
( ~ spl6_209
| ~ spl6_41
| ~ spl6_54
| spl6_57 ),
inference(avatar_split_clause,[],[f1556,f366,f346,f268,f1564]) ).
tff(f1556,plain,
( ~ model_max(sK3,sK1(sK3,sK5,sK4),sK4)
| ~ spl6_41
| ~ spl6_54
| spl6_57 ),
inference(unit_resulting_resolution,[],[f347,f368,f269]) ).
tff(f1562,plain,
( ~ spl6_208
| ~ spl6_42
| ~ spl6_54
| spl6_57 ),
inference(avatar_split_clause,[],[f1557,f366,f346,f277,f1559]) ).
tff(f1557,plain,
( ~ model_max(sK1(sK3,sK5,sK4),sK3,sK4)
| ~ spl6_42
| ~ spl6_54
| spl6_57 ),
inference(unit_resulting_resolution,[],[f347,f368,f278]) ).
tff(f1539,plain,
( ~ spl6_207
| ~ spl6_29
| ~ spl6_54
| ~ spl6_118 ),
inference(avatar_split_clause,[],[f1514,f832,f346,f201,f1536]) ).
tff(f1536,plain,
( spl6_207
<=> minsol_model_ub(sK5,sK5,$sum(c,summation(sK1(sK3,sK5,sK4)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_207])]) ).
tff(f1514,plain,
( ~ minsol_model_ub(sK5,sK5,$sum(c,summation(sK1(sK3,sK5,sK4))))
| ~ spl6_29
| ~ spl6_54
| ~ spl6_118 ),
inference(unit_resulting_resolution,[],[f834,f347,f202]) ).
tff(f1533,plain,
( ~ spl6_206
| ~ spl6_5
| ~ spl6_35
| ~ spl6_54 ),
inference(avatar_split_clause,[],[f1511,f346,f231,f103,f1530]) ).
tff(f1511,plain,
( ~ minsol_model_max(sK3,sK5,$sum(c,summation(sK1(sK3,sK5,sK4))))
| ~ spl6_5
| ~ spl6_35
| ~ spl6_54 ),
inference(unit_resulting_resolution,[],[f233,f347,f104]) ).
tff(f1528,plain,
( spl6_205
| ~ spl6_30
| ~ spl6_54 ),
inference(avatar_split_clause,[],[f1515,f346,f205,f1526]) ).
tff(f1526,plain,
( spl6_205
<=> ! [X0: $int] : ~ ub($sum(c,summation(sK1(sK3,sK5,sK4))),X0,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_205])]) ).
tff(f1515,plain,
( ! [X0: $int] : ~ ub($sum(c,summation(sK1(sK3,sK5,sK4))),X0,sK4)
| ~ spl6_30
| ~ spl6_54 ),
inference(unit_resulting_resolution,[],[f347,f206]) ).
tff(f1524,plain,
( spl6_204
| ~ spl6_9
| ~ spl6_54 ),
inference(avatar_split_clause,[],[f1512,f346,f120,f1522]) ).
tff(f1522,plain,
( spl6_204
<=> ! [X0: $int] : ~ ub(X0,$sum(c,summation(sK1(sK3,sK5,sK4))),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_204])]) ).
tff(f1512,plain,
( ! [X0: $int] : ~ ub(X0,$sum(c,summation(sK1(sK3,sK5,sK4))),sK4)
| ~ spl6_9
| ~ spl6_54 ),
inference(unit_resulting_resolution,[],[f347,f121]) ).
tff(f1503,plain,
( spl6_203
| ~ spl6_13
| ~ spl6_53
| spl6_120 ),
inference(avatar_split_clause,[],[f1491,f850,f341,f136,f1500]) ).
tff(f1491,plain,
( $less(sK2(sK3,sK5,sK4),$sum(c,summation(sK1(sK3,sK5,sK4))))
| ~ spl6_13
| ~ spl6_53
| spl6_120 ),
inference(unit_resulting_resolution,[],[f343,f851,f137]) ).
tff(f851,plain,
( ~ model_ub(sK3,sK5,sK2(sK3,sK5,sK4))
| spl6_120 ),
inference(avatar_component_clause,[],[f850]) ).
tff(f1498,plain,
( ~ spl6_202
| ~ spl6_34
| spl6_120 ),
inference(avatar_split_clause,[],[f1493,f850,f221,f1495]) ).
tff(f1493,plain,
( ~ minsol_model_ub(sK3,sK5,sK2(sK3,sK5,sK4))
| ~ spl6_34
| spl6_120 ),
inference(unit_resulting_resolution,[],[f851,f222]) ).
tff(f1486,plain,
( ~ spl6_201
| ~ spl6_13
| spl6_36
| ~ spl6_46
| spl6_49 ),
inference(avatar_split_clause,[],[f1485,f314,f298,f239,f136,f1479]) ).
tff(f314,plain,
( spl6_49
<=> model_ub(sK3,sK5,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_49])]) ).
tff(f1485,plain,
( ~ ub(sK3,sK5,sK5)
| ~ spl6_13
| spl6_36
| ~ spl6_46
| spl6_49 ),
inference(forward_demodulation,[],[f1474,f300]) ).
tff(f1474,plain,
( ~ ub(sK3,sK5,max(sK3,sK5))
| ~ spl6_13
| spl6_36
| spl6_49 ),
inference(unit_resulting_resolution,[],[f241,f315,f137]) ).
tff(f315,plain,
( ~ model_ub(sK3,sK5,sK4)
| spl6_49 ),
inference(avatar_component_clause,[],[f314]) ).
tff(f1484,plain,
( ~ spl6_13
| spl6_49
| ~ spl6_125
| spl6_155 ),
inference(avatar_contradiction_clause,[],[f1483]) ).
tff(f1483,plain,
( $false
| ~ spl6_13
| spl6_49
| ~ spl6_125
| spl6_155 ),
inference(subsumption_resolution,[],[f1473,f1152]) ).
tff(f1473,plain,
( $less(sK4,$sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))))
| ~ spl6_13
| spl6_49
| ~ spl6_125 ),
inference(unit_resulting_resolution,[],[f889,f315,f137]) ).
tff(f889,plain,
( ub(sK3,sK5,sK1(sK3,sK5,sK2(sK3,sK5,sK4)))
| ~ spl6_125 ),
inference(avatar_component_clause,[],[f887]) ).
tff(f1482,plain,
( ~ spl6_201
| ~ spl6_13
| spl6_39
| spl6_49 ),
inference(avatar_split_clause,[],[f1476,f314,f258,f136,f1479]) ).
tff(f1476,plain,
( ~ ub(sK3,sK5,sK5)
| ~ spl6_13
| spl6_39
| spl6_49 ),
inference(unit_resulting_resolution,[],[f260,f315,f137]) ).
tff(f1472,plain,
( spl6_96
| ~ spl6_10
| ~ spl6_65 ),
inference(avatar_split_clause,[],[f983,f421,f124,f647]) ).
tff(f983,plain,
( $less(sK5,sK1(sK3,sK5,sK4))
| ~ spl6_10
| ~ spl6_65 ),
inference(unit_resulting_resolution,[],[f422,f125]) ).
tff(f1471,plain,
( ~ spl6_9
| ~ spl6_57
| ~ spl6_79 ),
inference(avatar_contradiction_clause,[],[f1470]) ).
tff(f1470,plain,
( $false
| ~ spl6_9
| ~ spl6_57
| ~ spl6_79 ),
inference(subsumption_resolution,[],[f1296,f367]) ).
tff(f367,plain,
( $less(sK1(sK3,sK5,sK4),sK3)
| ~ spl6_57 ),
inference(avatar_component_clause,[],[f366]) ).
tff(f1296,plain,
( ~ $less(sK1(sK3,sK5,sK4),sK3)
| ~ spl6_9
| ~ spl6_79 ),
inference(unit_resulting_resolution,[],[f521,f121]) ).
tff(f1469,plain,
( ~ spl6_30
| ~ spl6_57
| ~ spl6_79 ),
inference(avatar_contradiction_clause,[],[f1468]) ).
tff(f1468,plain,
( $false
| ~ spl6_30
| ~ spl6_57
| ~ spl6_79 ),
inference(subsumption_resolution,[],[f1294,f367]) ).
tff(f1294,plain,
( ~ $less(sK1(sK3,sK5,sK4),sK3)
| ~ spl6_30
| ~ spl6_79 ),
inference(unit_resulting_resolution,[],[f521,f206]) ).
tff(f1463,plain,
( ~ spl6_10
| ~ spl6_65
| spl6_96 ),
inference(avatar_contradiction_clause,[],[f1462]) ).
tff(f1462,plain,
( $false
| ~ spl6_10
| ~ spl6_65
| spl6_96 ),
inference(subsumption_resolution,[],[f983,f649]) ).
tff(f649,plain,
( ~ $less(sK5,sK1(sK3,sK5,sK4))
| spl6_96 ),
inference(avatar_component_clause,[],[f647]) ).
tff(f1455,plain,
( ~ spl6_58
| ~ spl6_30
| ~ spl6_89 ),
inference(avatar_split_clause,[],[f1305,f598,f205,f371]) ).
tff(f598,plain,
( spl6_89
<=> ub(sK5,sK3,sK1(sK3,sK5,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_89])]) ).
tff(f1305,plain,
( ~ $less(sK1(sK3,sK5,sK4),sK5)
| ~ spl6_30
| ~ spl6_89 ),
inference(unit_resulting_resolution,[],[f600,f206]) ).
tff(f600,plain,
( ub(sK5,sK3,sK1(sK3,sK5,sK4))
| ~ spl6_89 ),
inference(avatar_component_clause,[],[f598]) ).
tff(f1454,plain,
( ~ spl6_57
| ~ spl6_9
| ~ spl6_89 ),
inference(avatar_split_clause,[],[f1307,f598,f120,f366]) ).
tff(f1307,plain,
( ~ $less(sK1(sK3,sK5,sK4),sK3)
| ~ spl6_9
| ~ spl6_89 ),
inference(unit_resulting_resolution,[],[f600,f121]) ).
tff(f1452,plain,
( spl6_200
| ~ spl6_26
| ~ spl6_46
| spl6_122 ),
inference(avatar_split_clause,[],[f1447,f864,f298,f188,f1449]) ).
tff(f1447,plain,
( $less(sK2(sK3,sK5,sK4),$sum(c,summation(sK5)))
| ~ spl6_26
| ~ spl6_46
| spl6_122 ),
inference(forward_demodulation,[],[f970,f300]) ).
tff(f1446,plain,
( ~ spl6_11
| ~ spl6_65
| spl6_92 ),
inference(avatar_contradiction_clause,[],[f1445]) ).
tff(f1445,plain,
( $false
| ~ spl6_11
| ~ spl6_65
| spl6_92 ),
inference(subsumption_resolution,[],[f985,f628]) ).
tff(f628,plain,
( ~ $less(summation(summation(sK5)),summation(summation(sK1(sK3,sK5,sK4))))
| spl6_92 ),
inference(avatar_component_clause,[],[f626]) ).
tff(f985,plain,
( $less(summation(summation(sK5)),summation(summation(sK1(sK3,sK5,sK4))))
| ~ spl6_11
| ~ spl6_65 ),
inference(unit_resulting_resolution,[],[f422,f129]) ).
tff(f1441,plain,
( spl6_199
| ~ spl6_23
| ~ spl6_45
| ~ spl6_46 ),
inference(avatar_split_clause,[],[f1437,f298,f290,f176,f1439]) ).
tff(f1437,plain,
( ! [X0: $int] :
( ~ $less(X0,$sum(c,summation(sK4)))
| ~ model_max(sK4,$sum(c,summation(sK5)),X0) )
| ~ spl6_23
| ~ spl6_45
| ~ spl6_46 ),
inference(forward_demodulation,[],[f1110,f300]) ).
tff(f1435,plain,
( ~ spl6_98
| ~ spl6_10
| spl6_71 ),
inference(avatar_split_clause,[],[f1326,f470,f124,f666]) ).
tff(f1326,plain,
( ~ $less(summation(summation(sK4)),summation(summation($sum(c,summation(sK5)))))
| ~ spl6_10
| spl6_71 ),
inference(unit_resulting_resolution,[],[f471,f125]) ).
tff(f1434,plain,
( spl6_198
| ~ spl6_23
| ~ spl6_40
| ~ spl6_46 ),
inference(avatar_split_clause,[],[f1430,f298,f263,f176,f1432]) ).
tff(f1430,plain,
( ! [X0: $int] :
( ~ $less(X0,$sum(c,summation(sK4)))
| ~ model_max($sum(c,summation(sK5)),sK4,X0) )
| ~ spl6_23
| ~ spl6_40
| ~ spl6_46 ),
inference(forward_demodulation,[],[f1086,f300]) ).
tff(f1427,plain,
( spl6_191
| spl6_190
| ~ spl6_25
| ~ spl6_45 ),
inference(avatar_split_clause,[],[f1109,f290,f184,f1386,f1390]) ).
tff(f1390,plain,
( spl6_191
<=> ( $sum(c,summation(max(sK3,sK5))) = sK4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_191])]) ).
tff(f1386,plain,
( spl6_190
<=> $less($sum(c,summation(max(sK3,sK5))),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_190])]) ).
tff(f1109,plain,
( $less($sum(c,summation(max(sK3,sK5))),sK4)
| ( $sum(c,summation(max(sK3,sK5))) = sK4 )
| ~ spl6_25
| ~ spl6_45 ),
inference(superposition,[],[f185,f292]) ).
tff(f1426,plain,
( spl6_53
| ~ spl6_20
| spl6_57
| spl6_58 ),
inference(avatar_split_clause,[],[f964,f371,f366,f164,f341]) ).
tff(f964,plain,
( ub(sK3,sK5,sK1(sK3,sK5,sK4))
| ~ spl6_20
| spl6_57
| spl6_58 ),
inference(unit_resulting_resolution,[],[f373,f368,f165]) ).
tff(f1425,plain,
( spl6_197
| ~ spl6_20
| spl6_37 ),
inference(avatar_split_clause,[],[f1017,f246,f164,f1422]) ).
tff(f1017,plain,
( ub(summation($sum(c,summation(max(sK3,sK5)))),summation($sum(c,summation(max(sK3,sK5)))),summation(sK4))
| ~ spl6_20
| spl6_37 ),
inference(unit_resulting_resolution,[],[f248,f248,f165]) ).
tff(f1420,plain,
( spl6_194
| ~ spl6_20
| spl6_36 ),
inference(avatar_split_clause,[],[f903,f239,f164,f1405]) ).
tff(f1405,plain,
( spl6_194
<=> ub($sum(c,summation(max(sK3,sK5))),$sum(c,summation(max(sK3,sK5))),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_194])]) ).
tff(f903,plain,
( ub($sum(c,summation(max(sK3,sK5))),$sum(c,summation(max(sK3,sK5))),sK4)
| ~ spl6_20
| spl6_36 ),
inference(unit_resulting_resolution,[],[f241,f241,f165]) ).
tff(f1419,plain,
( ~ spl6_196
| ~ spl6_10
| spl6_37 ),
inference(avatar_split_clause,[],[f1013,f246,f124,f1416]) ).
tff(f1416,plain,
( spl6_196
<=> $less(summation(summation(sK4)),summation(summation($sum(c,summation(max(sK3,sK5)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_196])]) ).
tff(f1013,plain,
( ~ $less(summation(summation(sK4)),summation(summation($sum(c,summation(max(sK3,sK5))))))
| ~ spl6_10
| spl6_37 ),
inference(unit_resulting_resolution,[],[f248,f125]) ).
tff(f1414,plain,
( spl6_195
| ~ spl6_20
| spl6_37
| spl6_71 ),
inference(avatar_split_clause,[],[f1331,f470,f246,f164,f1411]) ).
tff(f1411,plain,
( spl6_195
<=> ub(summation($sum(c,summation(max(sK3,sK5)))),summation($sum(c,summation(sK5))),summation(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_195])]) ).
tff(f1331,plain,
( ub(summation($sum(c,summation(max(sK3,sK5)))),summation($sum(c,summation(sK5))),summation(sK4))
| ~ spl6_20
| spl6_37
| spl6_71 ),
inference(unit_resulting_resolution,[],[f248,f471,f165]) ).
tff(f1409,plain,
( spl6_191
| spl6_190
| ~ spl6_28
| ~ spl6_40 ),
inference(avatar_split_clause,[],[f1084,f263,f196,f1386,f1390]) ).
tff(f1084,plain,
( $less($sum(c,summation(max(sK3,sK5))),sK4)
| ( $sum(c,summation(max(sK3,sK5))) = sK4 )
| ~ spl6_28
| ~ spl6_40 ),
inference(superposition,[],[f265,f197]) ).
tff(f1408,plain,
( spl6_194
| ~ spl6_20
| spl6_36 ),
inference(avatar_split_clause,[],[f900,f239,f164,f1405]) ).
tff(f900,plain,
( ub($sum(c,summation(max(sK3,sK5))),$sum(c,summation(max(sK3,sK5))),sK4)
| ~ spl6_20
| spl6_36 ),
inference(unit_resulting_resolution,[],[f241,f241,f165]) ).
tff(f1403,plain,
( spl6_193
| ~ spl6_20
| spl6_37
| spl6_71 ),
inference(avatar_split_clause,[],[f1328,f470,f246,f164,f1400]) ).
tff(f1328,plain,
( ub(summation($sum(c,summation(sK5))),summation($sum(c,summation(max(sK3,sK5)))),summation(sK4))
| ~ spl6_20
| spl6_37
| spl6_71 ),
inference(unit_resulting_resolution,[],[f248,f471,f165]) ).
tff(f1398,plain,
( spl6_192
| ~ spl6_20
| spl6_36
| spl6_43 ),
inference(avatar_split_clause,[],[f899,f281,f239,f164,f1395]) ).
tff(f1395,plain,
( spl6_192
<=> ub($sum(c,summation(max(sK3,sK5))),$sum(c,summation(sK3)),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_192])]) ).
tff(f899,plain,
( ub($sum(c,summation(max(sK3,sK5))),$sum(c,summation(sK3)),sK4)
| ~ spl6_20
| spl6_36
| spl6_43 ),
inference(unit_resulting_resolution,[],[f283,f241,f165]) ).
tff(f1393,plain,
( spl6_190
| spl6_191
| ~ spl6_28
| ~ spl6_40 ),
inference(avatar_split_clause,[],[f1085,f263,f196,f1390,f1386]) ).
tff(f1085,plain,
( ( $sum(c,summation(max(sK3,sK5))) = sK4 )
| $less($sum(c,summation(max(sK3,sK5))),sK4)
| ~ spl6_28
| ~ spl6_40 ),
inference(superposition,[],[f197,f265]) ).
tff(f1384,plain,
( spl6_189
| ~ spl6_25
| spl6_37 ),
inference(avatar_split_clause,[],[f1018,f246,f184,f1381]) ).
tff(f1381,plain,
( spl6_189
<=> ( max(summation($sum(c,summation(max(sK3,sK5)))),summation(sK4)) = summation(sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_189])]) ).
tff(f1018,plain,
( ( max(summation($sum(c,summation(max(sK3,sK5)))),summation(sK4)) = summation(sK4) )
| ~ spl6_25
| spl6_37 ),
inference(unit_resulting_resolution,[],[f248,f185]) ).
tff(f1379,plain,
( spl6_188
| ~ spl6_20
| spl6_36
| spl6_39 ),
inference(avatar_split_clause,[],[f915,f258,f239,f164,f1376]) ).
tff(f1376,plain,
( spl6_188
<=> ub($sum(c,summation(sK5)),$sum(c,summation(max(sK3,sK5))),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_188])]) ).
tff(f915,plain,
( ub($sum(c,summation(sK5)),$sum(c,summation(max(sK3,sK5))),sK4)
| ~ spl6_20
| spl6_36
| spl6_39 ),
inference(unit_resulting_resolution,[],[f241,f260,f165]) ).
tff(f1374,plain,
( spl6_187
| ~ spl6_28
| spl6_71 ),
inference(avatar_split_clause,[],[f1334,f470,f196,f1371]) ).
tff(f1371,plain,
( spl6_187
<=> ( summation(sK4) = max(summation(sK4),summation($sum(c,summation(sK5)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_187])]) ).
tff(f1334,plain,
( ( summation(sK4) = max(summation(sK4),summation($sum(c,summation(sK5)))) )
| ~ spl6_28
| spl6_71 ),
inference(unit_resulting_resolution,[],[f471,f197]) ).
tff(f1369,plain,
( spl6_186
| ~ spl6_20
| spl6_64
| spl6_71 ),
inference(avatar_split_clause,[],[f1327,f470,f415,f164,f1366]) ).
tff(f1327,plain,
( ub(summation($sum(c,summation(sK5))),summation($sum(c,summation(sK1(sK3,sK5,sK4)))),summation(sK4))
| ~ spl6_20
| spl6_64
| spl6_71 ),
inference(unit_resulting_resolution,[],[f417,f471,f165]) ).
tff(f1364,plain,
( spl6_184
| ~ spl6_20
| spl6_71 ),
inference(avatar_split_clause,[],[f1332,f470,f164,f1354]) ).
tff(f1354,plain,
( spl6_184
<=> ub(summation($sum(c,summation(sK5))),summation($sum(c,summation(sK5))),summation(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_184])]) ).
tff(f1332,plain,
( ub(summation($sum(c,summation(sK5))),summation($sum(c,summation(sK5))),summation(sK4))
| ~ spl6_20
| spl6_71 ),
inference(unit_resulting_resolution,[],[f471,f471,f165]) ).
tff(f1363,plain,
( spl6_185
| ~ spl6_20
| spl6_37
| ~ spl6_70
| spl6_71 ),
inference(avatar_split_clause,[],[f1358,f470,f459,f246,f164,f1360]) ).
tff(f1360,plain,
( spl6_185
<=> ub(summation($sum(c,summation(sK3))),summation($sum(c,summation(sK5))),summation(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_185])]) ).
tff(f1358,plain,
( ub(summation($sum(c,summation(sK3))),summation($sum(c,summation(sK5))),summation(sK4))
| ~ spl6_20
| spl6_37
| ~ spl6_70
| spl6_71 ),
inference(forward_demodulation,[],[f1331,f461]) ).
tff(f1357,plain,
( spl6_184
| ~ spl6_20
| spl6_71 ),
inference(avatar_split_clause,[],[f1329,f470,f164,f1354]) ).
tff(f1329,plain,
( ub(summation($sum(c,summation(sK5))),summation($sum(c,summation(sK5))),summation(sK4))
| ~ spl6_20
| spl6_71 ),
inference(unit_resulting_resolution,[],[f471,f471,f165]) ).
tff(f1352,plain,
( spl6_183
| ~ spl6_20
| spl6_64
| spl6_71 ),
inference(avatar_split_clause,[],[f1330,f470,f415,f164,f1349]) ).
tff(f1349,plain,
( spl6_183
<=> ub(summation($sum(c,summation(sK1(sK3,sK5,sK4)))),summation($sum(c,summation(sK5))),summation(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_183])]) ).
tff(f1330,plain,
( ub(summation($sum(c,summation(sK1(sK3,sK5,sK4)))),summation($sum(c,summation(sK5))),summation(sK4))
| ~ spl6_20
| spl6_64
| spl6_71 ),
inference(unit_resulting_resolution,[],[f417,f471,f165]) ).
tff(f1347,plain,
( spl6_182
| ~ spl6_25
| spl6_71 ),
inference(avatar_split_clause,[],[f1333,f470,f184,f1344]) ).
tff(f1344,plain,
( spl6_182
<=> ( max(summation($sum(c,summation(sK5))),summation(sK4)) = summation(sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_182])]) ).
tff(f1333,plain,
( ( max(summation($sum(c,summation(sK5))),summation(sK4)) = summation(sK4) )
| ~ spl6_25
| spl6_71 ),
inference(unit_resulting_resolution,[],[f471,f185]) ).
tff(f1342,plain,
( ~ spl6_10
| spl6_71
| ~ spl6_98 ),
inference(avatar_contradiction_clause,[],[f1341]) ).
tff(f1341,plain,
( $false
| ~ spl6_10
| spl6_71
| ~ spl6_98 ),
inference(subsumption_resolution,[],[f1326,f668]) ).
tff(f668,plain,
( $less(summation(summation(sK4)),summation(summation($sum(c,summation(sK5)))))
| ~ spl6_98 ),
inference(avatar_component_clause,[],[f666]) ).
tff(f1340,plain,
( spl6_181
| ~ spl6_20
| spl6_37
| ~ spl6_70
| spl6_71 ),
inference(avatar_split_clause,[],[f1335,f470,f459,f246,f164,f1337]) ).
tff(f1335,plain,
( ub(summation($sum(c,summation(sK5))),summation($sum(c,summation(sK3))),summation(sK4))
| ~ spl6_20
| spl6_37
| ~ spl6_70
| spl6_71 ),
inference(forward_demodulation,[],[f1328,f461]) ).
tff(f1324,plain,
( ~ spl6_180
| ~ spl6_17
| ~ spl6_177 ),
inference(avatar_split_clause,[],[f1313,f1298,f152,f1321]) ).
tff(f1313,plain,
( ~ $less(sK4,$sum(c,summation(sK1(sK3,sK3,sK4))))
| ~ spl6_17
| ~ spl6_177 ),
inference(unit_resulting_resolution,[],[f1300,f153]) ).
tff(f1319,plain,
( spl6_179
| ~ spl6_22
| ~ spl6_177 ),
inference(avatar_split_clause,[],[f1314,f1298,f172,f1316]) ).
tff(f1316,plain,
( spl6_179
<=> ub(sK3,sK3,sK1(sK3,sK3,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_179])]) ).
tff(f1314,plain,
( ub(sK3,sK3,sK1(sK3,sK3,sK4))
| ~ spl6_22
| ~ spl6_177 ),
inference(unit_resulting_resolution,[],[f1300,f173]) ).
tff(f1312,plain,
( spl6_178
| ~ spl6_13
| spl6_54
| ~ spl6_89 ),
inference(avatar_split_clause,[],[f1306,f598,f346,f136,f1309]) ).
tff(f1306,plain,
( model_ub(sK5,sK3,sK4)
| ~ spl6_13
| spl6_54
| ~ spl6_89 ),
inference(unit_resulting_resolution,[],[f348,f600,f137]) ).
tff(f1301,plain,
( spl6_177
| ~ spl6_13
| spl6_54
| ~ spl6_79 ),
inference(avatar_split_clause,[],[f1295,f519,f346,f136,f1298]) ).
tff(f1295,plain,
( model_ub(sK3,sK3,sK4)
| ~ spl6_13
| spl6_54
| ~ spl6_79 ),
inference(unit_resulting_resolution,[],[f348,f521,f137]) ).
tff(f1291,plain,
( spl6_176
| ~ spl6_9
| ~ spl6_149 ),
inference(avatar_split_clause,[],[f1271,f1095,f120,f1289]) ).
tff(f1289,plain,
( spl6_176
<=> ! [X0: $int] : ~ ub(X0,sK4,$sum(c,summation(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_176])]) ).
tff(f1271,plain,
( ! [X0: $int] : ~ ub(X0,sK4,$sum(c,summation(sK3)))
| ~ spl6_9
| ~ spl6_149 ),
inference(unit_resulting_resolution,[],[f1097,f121]) ).
tff(f1287,plain,
( ~ spl6_175
| ~ spl6_5
| ~ spl6_8
| ~ spl6_149 ),
inference(avatar_split_clause,[],[f1270,f1095,f115,f103,f1284]) ).
tff(f1270,plain,
( ~ model_max(sK3,sK5,$sum(c,summation(sK3)))
| ~ spl6_5
| ~ spl6_8
| ~ spl6_149 ),
inference(unit_resulting_resolution,[],[f117,f1097,f104]) ).
tff(f1282,plain,
( spl6_174
| ~ spl6_30
| ~ spl6_149 ),
inference(avatar_split_clause,[],[f1273,f1095,f205,f1280]) ).
tff(f1280,plain,
( spl6_174
<=> ! [X0: $int] : ~ ub(sK4,X0,$sum(c,summation(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_174])]) ).
tff(f1273,plain,
( ! [X0: $int] : ~ ub(sK4,X0,$sum(c,summation(sK3)))
| ~ spl6_30
| ~ spl6_149 ),
inference(unit_resulting_resolution,[],[f1097,f206]) ).
tff(f1278,plain,
( spl6_173
| ~ spl6_11
| ~ spl6_149 ),
inference(avatar_split_clause,[],[f1272,f1095,f128,f1275]) ).
tff(f1275,plain,
( spl6_173
<=> $less(summation($sum(c,summation(sK3))),summation(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_173])]) ).
tff(f1272,plain,
( $less(summation($sum(c,summation(sK3))),summation(sK4))
| ~ spl6_11
| ~ spl6_149 ),
inference(unit_resulting_resolution,[],[f1097,f129]) ).
tff(f1267,plain,
( spl6_172
| ~ spl6_30
| ~ spl6_101 ),
inference(avatar_split_clause,[],[f1254,f692,f205,f1265]) ).
tff(f1265,plain,
( spl6_172
<=> ! [X0: $int] : ~ ub(sK4,X0,$sum(c,summation(sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_172])]) ).
tff(f1254,plain,
( ! [X0: $int] : ~ ub(sK4,X0,$sum(c,summation(sK5)))
| ~ spl6_30
| ~ spl6_101 ),
inference(unit_resulting_resolution,[],[f694,f206]) ).
tff(f1263,plain,
( ~ spl6_171
| ~ spl6_5
| ~ spl6_8
| ~ spl6_101 ),
inference(avatar_split_clause,[],[f1251,f692,f115,f103,f1260]) ).
tff(f1251,plain,
( ~ model_max(sK3,sK5,$sum(c,summation(sK5)))
| ~ spl6_5
| ~ spl6_8
| ~ spl6_101 ),
inference(unit_resulting_resolution,[],[f117,f694,f104]) ).
tff(f1258,plain,
( spl6_170
| ~ spl6_9
| ~ spl6_101 ),
inference(avatar_split_clause,[],[f1252,f692,f120,f1256]) ).
tff(f1256,plain,
( spl6_170
<=> ! [X0: $int] : ~ ub(X0,sK4,$sum(c,summation(sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_170])]) ).
tff(f1252,plain,
( ! [X0: $int] : ~ ub(X0,sK4,$sum(c,summation(sK5)))
| ~ spl6_9
| ~ spl6_101 ),
inference(unit_resulting_resolution,[],[f694,f121]) ).
tff(f1250,plain,
( spl6_169
| ~ spl6_30
| ~ spl6_96 ),
inference(avatar_split_clause,[],[f1242,f647,f205,f1248]) ).
tff(f1248,plain,
( spl6_169
<=> ! [X0: $int] : ~ ub(sK1(sK3,sK5,sK4),X0,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_169])]) ).
tff(f1242,plain,
( ! [X0: $int] : ~ ub(sK1(sK3,sK5,sK4),X0,sK5)
| ~ spl6_30
| ~ spl6_96 ),
inference(unit_resulting_resolution,[],[f648,f206]) ).
tff(f1246,plain,
( spl6_168
| ~ spl6_9
| ~ spl6_96 ),
inference(avatar_split_clause,[],[f1240,f647,f120,f1244]) ).
tff(f1244,plain,
( spl6_168
<=> ! [X0: $int] : ~ ub(X0,sK1(sK3,sK5,sK4),sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_168])]) ).
tff(f1240,plain,
( ! [X0: $int] : ~ ub(X0,sK1(sK3,sK5,sK4),sK5)
| ~ spl6_9
| ~ spl6_96 ),
inference(unit_resulting_resolution,[],[f648,f121]) ).
tff(f1239,plain,
( spl6_167
| ~ spl6_23
| ~ spl6_70 ),
inference(avatar_split_clause,[],[f1235,f459,f176,f1237]) ).
tff(f1237,plain,
( spl6_167
<=> ! [X0: $int] :
( ~ $less(X0,$sum(c,summation(sK3)))
| ~ model_max(sK3,sK5,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_167])]) ).
tff(f1235,plain,
( ! [X0: $int] :
( ~ $less(X0,$sum(c,summation(sK3)))
| ~ model_max(sK3,sK5,X0) )
| ~ spl6_23
| ~ spl6_70 ),
inference(superposition,[],[f177,f461]) ).
tff(f1227,plain,
( spl6_166
| ~ spl6_23
| ~ spl6_68 ),
inference(avatar_split_clause,[],[f1223,f448,f176,f1225]) ).
tff(f1225,plain,
( spl6_166
<=> ! [X0: $int] :
( ~ model_max(sK5,sK3,X0)
| ~ $less(X0,$sum(c,summation(sK3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_166])]) ).
tff(f1223,plain,
( ! [X0: $int] :
( ~ model_max(sK5,sK3,X0)
| ~ $less(X0,$sum(c,summation(sK3))) )
| ~ spl6_23
| ~ spl6_68 ),
inference(superposition,[],[f177,f450]) ).
tff(f1219,plain,
( spl6_163
| ~ spl6_20
| spl6_50 ),
inference(avatar_split_clause,[],[f1196,f322,f164,f1205]) ).
tff(f1196,plain,
( ub(summation(sK5),summation(sK5),summation(sK3))
| ~ spl6_20
| spl6_50 ),
inference(unit_resulting_resolution,[],[f323,f323,f165]) ).
tff(f323,plain,
( ~ $less(summation(sK3),summation(sK5))
| spl6_50 ),
inference(avatar_component_clause,[],[f322]) ).
tff(f1218,plain,
( spl6_165
| ~ spl6_28
| spl6_50 ),
inference(avatar_split_clause,[],[f1198,f322,f196,f1215]) ).
tff(f1215,plain,
( spl6_165
<=> ( summation(sK3) = max(summation(sK3),summation(sK5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_165])]) ).
tff(f1198,plain,
( ( summation(sK3) = max(summation(sK3),summation(sK5)) )
| ~ spl6_28
| spl6_50 ),
inference(unit_resulting_resolution,[],[f323,f197]) ).
tff(f1213,plain,
( spl6_164
| ~ spl6_25
| spl6_50 ),
inference(avatar_split_clause,[],[f1197,f322,f184,f1210]) ).
tff(f1210,plain,
( spl6_164
<=> ( max(summation(sK5),summation(sK3)) = summation(sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_164])]) ).
tff(f1197,plain,
( ( max(summation(sK5),summation(sK3)) = summation(sK3) )
| ~ spl6_25
| spl6_50 ),
inference(unit_resulting_resolution,[],[f323,f185]) ).
tff(f1208,plain,
( spl6_163
| ~ spl6_20
| spl6_50 ),
inference(avatar_split_clause,[],[f1195,f322,f164,f1205]) ).
tff(f1195,plain,
( ub(summation(sK5),summation(sK5),summation(sK3))
| ~ spl6_20
| spl6_50 ),
inference(unit_resulting_resolution,[],[f323,f323,f165]) ).
tff(f1203,plain,
( ~ spl6_162
| ~ spl6_10
| spl6_50 ),
inference(avatar_split_clause,[],[f1194,f322,f124,f1200]) ).
tff(f1194,plain,
( ~ $less(summation(summation(sK3)),summation(summation(sK5)))
| ~ spl6_10
| spl6_50 ),
inference(unit_resulting_resolution,[],[f323,f125]) ).
tff(f1192,plain,
( spl6_161
| ~ spl6_11
| ~ spl6_48 ),
inference(avatar_split_clause,[],[f1178,f308,f128,f1189]) ).
tff(f1178,plain,
( $less(summation(summation(sK5)),summation(summation(sK3)))
| ~ spl6_11
| ~ spl6_48 ),
inference(unit_resulting_resolution,[],[f309,f129]) ).
tff(f309,plain,
( $less(summation(sK5),summation(sK3))
| ~ spl6_48 ),
inference(avatar_component_clause,[],[f308]) ).
tff(f1187,plain,
( spl6_160
| ~ spl6_30
| ~ spl6_48 ),
inference(avatar_split_clause,[],[f1179,f308,f205,f1185]) ).
tff(f1185,plain,
( spl6_160
<=> ! [X0: $int] : ~ ub(summation(sK3),X0,summation(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_160])]) ).
tff(f1179,plain,
( ! [X0: $int] : ~ ub(summation(sK3),X0,summation(sK5))
| ~ spl6_30
| ~ spl6_48 ),
inference(unit_resulting_resolution,[],[f309,f206]) ).
tff(f1183,plain,
( spl6_159
| ~ spl6_9
| ~ spl6_48 ),
inference(avatar_split_clause,[],[f1177,f308,f120,f1181]) ).
tff(f1181,plain,
( spl6_159
<=> ! [X0: $int] : ~ ub(X0,summation(sK3),summation(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_159])]) ).
tff(f1177,plain,
( ! [X0: $int] : ~ ub(X0,summation(sK3),summation(sK5))
| ~ spl6_9
| ~ spl6_48 ),
inference(unit_resulting_resolution,[],[f309,f121]) ).
tff(f1169,plain,
( ~ spl6_158
| ~ spl6_10
| spl6_126 ),
inference(avatar_split_clause,[],[f1137,f892,f124,f1166]) ).
tff(f1137,plain,
( ~ $less(summation(sK2(sK3,sK5,sK4)),summation($sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4))))))
| ~ spl6_10
| spl6_126 ),
inference(unit_resulting_resolution,[],[f894,f125]) ).
tff(f1164,plain,
( spl6_156
| ~ spl6_20
| spl6_126 ),
inference(avatar_split_clause,[],[f1138,f892,f164,f1155]) ).
tff(f1138,plain,
( ub($sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))),$sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))),sK2(sK3,sK5,sK4))
| ~ spl6_20
| spl6_126 ),
inference(unit_resulting_resolution,[],[f894,f894,f165]) ).
tff(f1163,plain,
( spl6_157
| ~ spl6_28
| spl6_126 ),
inference(avatar_split_clause,[],[f1143,f892,f196,f1160]) ).
tff(f1143,plain,
( ( max(sK2(sK3,sK5,sK4),$sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4))))) = sK2(sK3,sK5,sK4) )
| ~ spl6_28
| spl6_126 ),
inference(unit_resulting_resolution,[],[f894,f197]) ).
tff(f1158,plain,
( spl6_156
| ~ spl6_20
| spl6_126 ),
inference(avatar_split_clause,[],[f1140,f892,f164,f1155]) ).
tff(f1140,plain,
( ub($sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))),$sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))),sK2(sK3,sK5,sK4))
| ~ spl6_20
| spl6_126 ),
inference(unit_resulting_resolution,[],[f894,f894,f165]) ).
tff(f1153,plain,
( ~ spl6_155
| ~ spl6_4
| ~ spl6_119
| spl6_126 ),
inference(avatar_split_clause,[],[f1136,f892,f845,f99,f1150]) ).
tff(f1136,plain,
( ~ $less(sK4,$sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))))
| ~ spl6_4
| ~ spl6_119
| spl6_126 ),
inference(unit_resulting_resolution,[],[f847,f894,f100]) ).
tff(f1148,plain,
( spl6_154
| ~ spl6_25
| spl6_126 ),
inference(avatar_split_clause,[],[f1142,f892,f184,f1145]) ).
tff(f1142,plain,
( ( sK2(sK3,sK5,sK4) = max($sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))),sK2(sK3,sK5,sK4)) )
| ~ spl6_25
| spl6_126 ),
inference(unit_resulting_resolution,[],[f894,f185]) ).
tff(f1131,plain,
( ~ spl6_153
| ~ spl6_9
| ~ spl6_125 ),
inference(avatar_split_clause,[],[f1121,f887,f120,f1128]) ).
tff(f1121,plain,
( ~ $less(sK1(sK3,sK5,sK2(sK3,sK5,sK4)),sK5)
| ~ spl6_9
| ~ spl6_125 ),
inference(unit_resulting_resolution,[],[f889,f121]) ).
tff(f1126,plain,
( ~ spl6_152
| ~ spl6_30
| ~ spl6_125 ),
inference(avatar_split_clause,[],[f1120,f887,f205,f1123]) ).
tff(f1120,plain,
( ~ $less(sK1(sK3,sK5,sK2(sK3,sK5,sK4)),sK3)
| ~ spl6_30
| ~ spl6_125 ),
inference(unit_resulting_resolution,[],[f889,f206]) ).
tff(f1119,plain,
( spl6_151
| ~ spl6_23
| ~ spl6_45
| ~ spl6_70 ),
inference(avatar_split_clause,[],[f1115,f459,f290,f176,f1117]) ).
tff(f1115,plain,
( ! [X0: $int] :
( ~ model_max(sK4,$sum(c,summation(sK3)),X0)
| ~ $less(X0,$sum(c,summation(sK4))) )
| ~ spl6_23
| ~ spl6_45
| ~ spl6_70 ),
inference(forward_demodulation,[],[f1110,f461]) ).
tff(f1105,plain,
( spl6_150
| spl6_149
| ~ spl6_28
| ~ spl6_40
| ~ spl6_70 ),
inference(avatar_split_clause,[],[f1104,f459,f263,f196,f1095,f1099]) ).
tff(f1099,plain,
( spl6_150
<=> ( sK4 = $sum(c,summation(sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_150])]) ).
tff(f1104,plain,
( $less($sum(c,summation(sK3)),sK4)
| ( sK4 = $sum(c,summation(sK3)) )
| ~ spl6_28
| ~ spl6_40
| ~ spl6_70 ),
inference(forward_demodulation,[],[f1103,f461]) ).
tff(f1103,plain,
( $less($sum(c,summation(sK3)),sK4)
| ( $sum(c,summation(max(sK3,sK5))) = sK4 )
| ~ spl6_28
| ~ spl6_40
| ~ spl6_70 ),
inference(forward_demodulation,[],[f1085,f461]) ).
tff(f1102,plain,
( spl6_149
| spl6_150
| ~ spl6_28
| ~ spl6_40
| ~ spl6_70 ),
inference(avatar_split_clause,[],[f1093,f459,f263,f196,f1099,f1095]) ).
tff(f1093,plain,
( ( sK4 = $sum(c,summation(sK3)) )
| $less($sum(c,summation(sK3)),sK4)
| ~ spl6_28
| ~ spl6_40
| ~ spl6_70 ),
inference(forward_demodulation,[],[f1092,f461]) ).
tff(f1092,plain,
( $less($sum(c,summation(max(sK3,sK5))),sK4)
| ( sK4 = $sum(c,summation(sK3)) )
| ~ spl6_28
| ~ spl6_40
| ~ spl6_70 ),
inference(forward_demodulation,[],[f1084,f461]) ).
tff(f1091,plain,
( spl6_148
| ~ spl6_23
| ~ spl6_40
| ~ spl6_70 ),
inference(avatar_split_clause,[],[f1087,f459,f263,f176,f1089]) ).
tff(f1087,plain,
( ! [X0: $int] :
( ~ $less(X0,$sum(c,summation(sK4)))
| ~ model_max($sum(c,summation(sK3)),sK4,X0) )
| ~ spl6_23
| ~ spl6_40
| ~ spl6_70 ),
inference(forward_demodulation,[],[f1086,f461]) ).
tff(f1081,plain,
( ~ spl6_147
| ~ spl6_28
| spl6_44
| spl6_46 ),
inference(avatar_split_clause,[],[f1076,f298,f285,f196,f1078]) ).
tff(f1076,plain,
( ( sK3 != sK5 )
| ~ spl6_28
| spl6_44
| spl6_46 ),
inference(subsumption_resolution,[],[f1073,f286]) ).
tff(f1073,plain,
( $less(sK3,sK5)
| ( sK3 != sK5 )
| ~ spl6_28
| spl6_46 ),
inference(superposition,[],[f299,f197]) ).
tff(f299,plain,
( ( sK5 != max(sK3,sK5) )
| spl6_46 ),
inference(avatar_component_clause,[],[f298]) ).
tff(f1071,plain,
( ~ spl6_146
| ~ spl6_17
| ~ spl6_118 ),
inference(avatar_split_clause,[],[f1060,f832,f152,f1068]) ).
tff(f1068,plain,
( spl6_146
<=> $less(sK4,$sum(c,summation(sK1(sK5,sK5,sK4)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_146])]) ).
tff(f1060,plain,
( ~ $less(sK4,$sum(c,summation(sK1(sK5,sK5,sK4))))
| ~ spl6_17
| ~ spl6_118 ),
inference(unit_resulting_resolution,[],[f834,f153]) ).
tff(f1066,plain,
( spl6_145
| ~ spl6_22
| ~ spl6_118 ),
inference(avatar_split_clause,[],[f1061,f832,f172,f1063]) ).
tff(f1063,plain,
( spl6_145
<=> ub(sK5,sK5,sK1(sK5,sK5,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_145])]) ).
tff(f1061,plain,
( ub(sK5,sK5,sK1(sK5,sK5,sK4))
| ~ spl6_22
| ~ spl6_118 ),
inference(unit_resulting_resolution,[],[f834,f173]) ).
tff(f1059,plain,
( spl6_144
| ~ spl6_20
| spl6_37
| spl6_64
| ~ spl6_70 ),
inference(avatar_split_clause,[],[f1054,f459,f415,f246,f164,f1056]) ).
tff(f1056,plain,
( spl6_144
<=> ub(summation($sum(c,summation(sK3))),summation($sum(c,summation(sK1(sK3,sK5,sK4)))),summation(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_144])]) ).
tff(f1054,plain,
( ub(summation($sum(c,summation(sK3))),summation($sum(c,summation(sK1(sK3,sK5,sK4)))),summation(sK4))
| ~ spl6_20
| spl6_37
| spl6_64
| ~ spl6_70 ),
inference(forward_demodulation,[],[f1014,f461]) ).
tff(f1014,plain,
( ub(summation($sum(c,summation(max(sK3,sK5)))),summation($sum(c,summation(sK1(sK3,sK5,sK4)))),summation(sK4))
| ~ spl6_20
| spl6_37
| spl6_64 ),
inference(unit_resulting_resolution,[],[f417,f248,f165]) ).
tff(f1053,plain,
( spl6_143
| ~ spl6_28
| spl6_37
| ~ spl6_70 ),
inference(avatar_split_clause,[],[f1048,f459,f246,f196,f1050]) ).
tff(f1048,plain,
( ( max(summation(sK4),summation($sum(c,summation(sK3)))) = summation(sK4) )
| ~ spl6_28
| spl6_37
| ~ spl6_70 ),
inference(forward_demodulation,[],[f1019,f461]) ).
tff(f1047,plain,
( spl6_142
| ~ spl6_25
| spl6_37
| ~ spl6_70 ),
inference(avatar_split_clause,[],[f1042,f459,f246,f184,f1044]) ).
tff(f1042,plain,
( ( max(summation($sum(c,summation(sK3))),summation(sK4)) = summation(sK4) )
| ~ spl6_25
| spl6_37
| ~ spl6_70 ),
inference(forward_demodulation,[],[f1018,f461]) ).
tff(f1041,plain,
( spl6_141
| ~ spl6_20
| spl6_37
| ~ spl6_70 ),
inference(avatar_split_clause,[],[f1040,f459,f246,f164,f1036]) ).
tff(f1036,plain,
( spl6_141
<=> ub(summation($sum(c,summation(sK3))),summation($sum(c,summation(sK3))),summation(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_141])]) ).
tff(f1040,plain,
( ub(summation($sum(c,summation(sK3))),summation($sum(c,summation(sK3))),summation(sK4))
| ~ spl6_20
| spl6_37
| ~ spl6_70 ),
inference(forward_demodulation,[],[f1015,f461]) ).
tff(f1039,plain,
( spl6_141
| ~ spl6_20
| spl6_37
| ~ spl6_70 ),
inference(avatar_split_clause,[],[f1034,f459,f246,f164,f1036]) ).
tff(f1034,plain,
( ub(summation($sum(c,summation(sK3))),summation($sum(c,summation(sK3))),summation(sK4))
| ~ spl6_20
| spl6_37
| ~ spl6_70 ),
inference(forward_demodulation,[],[f1017,f461]) ).
tff(f1033,plain,
( ~ spl6_140
| ~ spl6_10
| spl6_37
| ~ spl6_70 ),
inference(avatar_split_clause,[],[f1028,f459,f246,f124,f1030]) ).
tff(f1028,plain,
( ~ $less(summation(summation(sK4)),summation(summation($sum(c,summation(sK3)))))
| ~ spl6_10
| spl6_37
| ~ spl6_70 ),
inference(forward_demodulation,[],[f1013,f461]) ).
tff(f1027,plain,
( spl6_139
| ~ spl6_20
| spl6_37
| spl6_64
| ~ spl6_70 ),
inference(avatar_split_clause,[],[f1022,f459,f415,f246,f164,f1024]) ).
tff(f1022,plain,
( ub(summation($sum(c,summation(sK1(sK3,sK5,sK4)))),summation($sum(c,summation(sK3))),summation(sK4))
| ~ spl6_20
| spl6_37
| spl6_64
| ~ spl6_70 ),
inference(forward_demodulation,[],[f1016,f461]) ).
tff(f1016,plain,
( ub(summation($sum(c,summation(sK1(sK3,sK5,sK4)))),summation($sum(c,summation(max(sK3,sK5)))),summation(sK4))
| ~ spl6_20
| spl6_37
| spl6_64 ),
inference(unit_resulting_resolution,[],[f417,f248,f165]) ).
tff(f1011,plain,
( spl6_138
| ~ spl6_9
| ~ spl6_121 ),
inference(avatar_split_clause,[],[f996,f859,f120,f1009]) ).
tff(f996,plain,
( ! [X0: $int] : ~ ub(X0,summation(sK4),summation(sK2(sK3,sK5,sK4)))
| ~ spl6_9
| ~ spl6_121 ),
inference(unit_resulting_resolution,[],[f861,f121]) ).
tff(f1007,plain,
( spl6_137
| ~ spl6_30
| ~ spl6_121 ),
inference(avatar_split_clause,[],[f998,f859,f205,f1005]) ).
tff(f998,plain,
( ! [X0: $int] : ~ ub(summation(sK4),X0,summation(sK2(sK3,sK5,sK4)))
| ~ spl6_30
| ~ spl6_121 ),
inference(unit_resulting_resolution,[],[f861,f206]) ).
tff(f1003,plain,
( spl6_136
| ~ spl6_11
| ~ spl6_121 ),
inference(avatar_split_clause,[],[f997,f859,f128,f1000]) ).
tff(f997,plain,
( $less(summation(summation(sK2(sK3,sK5,sK4))),summation(summation(sK4)))
| ~ spl6_11
| ~ spl6_121 ),
inference(unit_resulting_resolution,[],[f861,f129]) ).
tff(f994,plain,
( spl6_135
| ~ spl6_30
| ~ spl6_65 ),
inference(avatar_split_clause,[],[f986,f421,f205,f992]) ).
tff(f992,plain,
( spl6_135
<=> ! [X0: $int] : ~ ub(summation(sK1(sK3,sK5,sK4)),X0,summation(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_135])]) ).
tff(f986,plain,
( ! [X0: $int] : ~ ub(summation(sK1(sK3,sK5,sK4)),X0,summation(sK5))
| ~ spl6_30
| ~ spl6_65 ),
inference(unit_resulting_resolution,[],[f422,f206]) ).
tff(f990,plain,
( spl6_134
| ~ spl6_9
| ~ spl6_65 ),
inference(avatar_split_clause,[],[f984,f421,f120,f988]) ).
tff(f988,plain,
( spl6_134
<=> ! [X0: $int] : ~ ub(X0,summation(sK1(sK3,sK5,sK4)),summation(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_134])]) ).
tff(f984,plain,
( ! [X0: $int] : ~ ub(X0,summation(sK1(sK3,sK5,sK4)),summation(sK5))
| ~ spl6_9
| ~ spl6_65 ),
inference(unit_resulting_resolution,[],[f422,f121]) ).
tff(f982,plain,
( ~ spl6_133
| ~ spl6_14
| spl6_122 ),
inference(avatar_split_clause,[],[f971,f864,f140,f979]) ).
tff(f971,plain,
( ~ minsol_model_max(sK3,sK5,sK2(sK3,sK5,sK4))
| ~ spl6_14
| spl6_122 ),
inference(unit_resulting_resolution,[],[f866,f141]) ).
tff(f977,plain,
( spl6_132
| ~ spl6_26
| ~ spl6_70
| spl6_122 ),
inference(avatar_split_clause,[],[f972,f864,f459,f188,f974]) ).
tff(f972,plain,
( $less(sK2(sK3,sK5,sK4),$sum(c,summation(sK3)))
| ~ spl6_26
| ~ spl6_70
| spl6_122 ),
inference(forward_demodulation,[],[f970,f461]) ).
tff(f961,plain,
( spl6_100
| ~ spl6_25
| spl6_39 ),
inference(avatar_split_clause,[],[f923,f258,f184,f684]) ).
tff(f923,plain,
( ( max($sum(c,summation(sK5)),sK4) = sK4 )
| ~ spl6_25
| spl6_39 ),
inference(unit_resulting_resolution,[],[f260,f185]) ).
tff(f960,plain,
( spl6_131
| ~ spl6_20
| spl6_39 ),
inference(avatar_split_clause,[],[f922,f258,f164,f956]) ).
tff(f956,plain,
( spl6_131
<=> ub($sum(c,summation(sK5)),$sum(c,summation(sK5)),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_131])]) ).
tff(f922,plain,
( ub($sum(c,summation(sK5)),$sum(c,summation(sK5)),sK4)
| ~ spl6_20
| spl6_39 ),
inference(unit_resulting_resolution,[],[f260,f260,f165]) ).
tff(f959,plain,
( spl6_131
| ~ spl6_20
| spl6_39 ),
inference(avatar_split_clause,[],[f918,f258,f164,f956]) ).
tff(f918,plain,
( ub($sum(c,summation(sK5)),$sum(c,summation(sK5)),sK4)
| ~ spl6_20
| spl6_39 ),
inference(unit_resulting_resolution,[],[f260,f260,f165]) ).
tff(f954,plain,
( spl6_130
| ~ spl6_20
| spl6_36
| spl6_39
| ~ spl6_70 ),
inference(avatar_split_clause,[],[f953,f459,f258,f239,f164,f947]) ).
tff(f947,plain,
( spl6_130
<=> ub($sum(c,summation(sK5)),$sum(c,summation(sK3)),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_130])]) ).
tff(f953,plain,
( ub($sum(c,summation(sK5)),$sum(c,summation(sK3)),sK4)
| ~ spl6_20
| spl6_36
| spl6_39
| ~ spl6_70 ),
inference(forward_demodulation,[],[f915,f461]) ).
tff(f952,plain,
( ~ spl6_28
| spl6_39
| spl6_103 ),
inference(avatar_contradiction_clause,[],[f951]) ).
tff(f951,plain,
( $false
| ~ spl6_28
| spl6_39
| spl6_103 ),
inference(subsumption_resolution,[],[f924,f711]) ).
tff(f711,plain,
( ( max(sK4,$sum(c,summation(sK5))) != sK4 )
| spl6_103 ),
inference(avatar_component_clause,[],[f709]) ).
tff(f924,plain,
( ( max(sK4,$sum(c,summation(sK5))) = sK4 )
| ~ spl6_28
| spl6_39 ),
inference(unit_resulting_resolution,[],[f260,f197]) ).
tff(f950,plain,
( spl6_130
| ~ spl6_20
| spl6_39
| spl6_43 ),
inference(avatar_split_clause,[],[f917,f281,f258,f164,f947]) ).
tff(f917,plain,
( ub($sum(c,summation(sK5)),$sum(c,summation(sK3)),sK4)
| ~ spl6_20
| spl6_39
| spl6_43 ),
inference(unit_resulting_resolution,[],[f283,f260,f165]) ).
tff(f945,plain,
( ~ spl6_10
| spl6_39
| ~ spl6_71 ),
inference(avatar_contradiction_clause,[],[f944]) ).
tff(f944,plain,
( $false
| ~ spl6_10
| spl6_39
| ~ spl6_71 ),
inference(subsumption_resolution,[],[f914,f472]) ).
tff(f472,plain,
( $less(summation(sK4),summation($sum(c,summation(sK5))))
| ~ spl6_71 ),
inference(avatar_component_clause,[],[f470]) ).
tff(f914,plain,
( ~ $less(summation(sK4),summation($sum(c,summation(sK5))))
| ~ spl6_10
| spl6_39 ),
inference(unit_resulting_resolution,[],[f260,f125]) ).
tff(f943,plain,
( ~ spl6_25
| spl6_39
| spl6_100 ),
inference(avatar_contradiction_clause,[],[f942]) ).
tff(f942,plain,
( $false
| ~ spl6_25
| spl6_39
| spl6_100 ),
inference(subsumption_resolution,[],[f923,f686]) ).
tff(f686,plain,
( ( max($sum(c,summation(sK5)),sK4) != sK4 )
| spl6_100 ),
inference(avatar_component_clause,[],[f684]) ).
tff(f941,plain,
( spl6_127
| ~ spl6_20
| spl6_36
| spl6_39
| ~ spl6_70 ),
inference(avatar_split_clause,[],[f940,f459,f258,f239,f164,f926]) ).
tff(f926,plain,
( spl6_127
<=> ub($sum(c,summation(sK3)),$sum(c,summation(sK5)),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_127])]) ).
tff(f940,plain,
( ub($sum(c,summation(sK3)),$sum(c,summation(sK5)),sK4)
| ~ spl6_20
| spl6_36
| spl6_39
| ~ spl6_70 ),
inference(forward_demodulation,[],[f919,f461]) ).
tff(f939,plain,
( spl6_129
| ~ spl6_20
| spl6_39
| spl6_54 ),
inference(avatar_split_clause,[],[f916,f346,f258,f164,f936]) ).
tff(f936,plain,
( spl6_129
<=> ub($sum(c,summation(sK5)),$sum(c,summation(sK1(sK3,sK5,sK4))),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_129])]) ).
tff(f916,plain,
( ub($sum(c,summation(sK5)),$sum(c,summation(sK1(sK3,sK5,sK4))),sK4)
| ~ spl6_20
| spl6_39
| spl6_54 ),
inference(unit_resulting_resolution,[],[f348,f260,f165]) ).
tff(f934,plain,
( spl6_128
| ~ spl6_20
| spl6_39
| spl6_54 ),
inference(avatar_split_clause,[],[f920,f346,f258,f164,f931]) ).
tff(f920,plain,
( ub($sum(c,summation(sK1(sK3,sK5,sK4))),$sum(c,summation(sK5)),sK4)
| ~ spl6_20
| spl6_39
| spl6_54 ),
inference(unit_resulting_resolution,[],[f348,f260,f165]) ).
tff(f929,plain,
( spl6_127
| ~ spl6_20
| spl6_39
| spl6_43 ),
inference(avatar_split_clause,[],[f921,f281,f258,f164,f926]) ).
tff(f921,plain,
( ub($sum(c,summation(sK3)),$sum(c,summation(sK5)),sK4)
| ~ spl6_20
| spl6_39
| spl6_43 ),
inference(unit_resulting_resolution,[],[f283,f260,f165]) ).
tff(f895,plain,
( ~ spl6_126
| ~ spl6_17
| ~ spl6_120 ),
inference(avatar_split_clause,[],[f883,f850,f152,f892]) ).
tff(f883,plain,
( ~ $less(sK2(sK3,sK5,sK4),$sum(c,summation(sK1(sK3,sK5,sK2(sK3,sK5,sK4)))))
| ~ spl6_17
| ~ spl6_120 ),
inference(unit_resulting_resolution,[],[f852,f153]) ).
tff(f890,plain,
( spl6_125
| ~ spl6_22
| ~ spl6_120 ),
inference(avatar_split_clause,[],[f884,f850,f172,f887]) ).
tff(f884,plain,
( ub(sK3,sK5,sK1(sK3,sK5,sK2(sK3,sK5,sK4)))
| ~ spl6_22
| ~ spl6_120 ),
inference(unit_resulting_resolution,[],[f852,f173]) ).
tff(f875,plain,
( spl6_124
| ~ spl6_9
| ~ spl6_119 ),
inference(avatar_split_clause,[],[f855,f845,f120,f873]) ).
tff(f855,plain,
( ! [X0: $int] : ~ ub(X0,sK4,sK2(sK3,sK5,sK4))
| ~ spl6_9
| ~ spl6_119 ),
inference(unit_resulting_resolution,[],[f847,f121]) ).
tff(f871,plain,
( spl6_123
| ~ spl6_30
| ~ spl6_119 ),
inference(avatar_split_clause,[],[f857,f845,f205,f869]) ).
tff(f857,plain,
( ! [X0: $int] : ~ ub(sK4,X0,sK2(sK3,sK5,sK4))
| ~ spl6_30
| ~ spl6_119 ),
inference(unit_resulting_resolution,[],[f847,f206]) ).
tff(f867,plain,
( ~ spl6_122
| ~ spl6_5
| ~ spl6_8
| ~ spl6_119 ),
inference(avatar_split_clause,[],[f854,f845,f115,f103,f864]) ).
tff(f854,plain,
( ~ model_max(sK3,sK5,sK2(sK3,sK5,sK4))
| ~ spl6_5
| ~ spl6_8
| ~ spl6_119 ),
inference(unit_resulting_resolution,[],[f117,f847,f104]) ).
tff(f862,plain,
( spl6_121
| ~ spl6_11
| ~ spl6_119 ),
inference(avatar_split_clause,[],[f856,f845,f128,f859]) ).
tff(f856,plain,
( $less(summation(sK2(sK3,sK5,sK4)),summation(sK4))
| ~ spl6_11
| ~ spl6_119 ),
inference(unit_resulting_resolution,[],[f847,f129]) ).
tff(f853,plain,
( spl6_120
| spl6_7
| ~ spl6_27
| ~ spl6_49 ),
inference(avatar_split_clause,[],[f842,f314,f192,f111,f850]) ).
tff(f842,plain,
( model_ub(sK3,sK5,sK2(sK3,sK5,sK4))
| spl6_7
| ~ spl6_27
| ~ spl6_49 ),
inference(unit_resulting_resolution,[],[f112,f316,f193]) ).
tff(f316,plain,
( model_ub(sK3,sK5,sK4)
| ~ spl6_49 ),
inference(avatar_component_clause,[],[f314]) ).
tff(f112,plain,
( ~ minsol_model_ub(sK3,sK5,sK4)
| spl6_7 ),
inference(avatar_component_clause,[],[f111]) ).
tff(f848,plain,
( spl6_119
| ~ spl6_1
| spl6_7
| ~ spl6_49 ),
inference(avatar_split_clause,[],[f843,f314,f111,f87,f845]) ).
tff(f843,plain,
( $less(sK2(sK3,sK5,sK4),sK4)
| ~ spl6_1
| spl6_7
| ~ spl6_49 ),
inference(unit_resulting_resolution,[],[f112,f316,f88]) ).
tff(f839,plain,
( ~ spl6_20
| spl6_44
| spl6_117 ),
inference(avatar_contradiction_clause,[],[f838]) ).
tff(f838,plain,
( $false
| ~ spl6_20
| spl6_44
| spl6_117 ),
inference(evaluation,[],[f837]) ).
tff(f837,plain,
( $less(0,0)
| ~ spl6_20
| spl6_44
| spl6_117 ),
inference(cancellation,[],[f836]) ).
tff(f836,plain,
( $less(sK3,sK3)
| ~ spl6_20
| spl6_44
| spl6_117 ),
inference(unit_resulting_resolution,[],[f286,f824,f165]) ).
tff(f824,plain,
( ~ ub(sK3,sK5,sK3)
| spl6_117 ),
inference(avatar_component_clause,[],[f822]) ).
tff(f835,plain,
( spl6_118
| ~ spl6_13
| spl6_43
| ~ spl6_69 ),
inference(avatar_split_clause,[],[f829,f453,f281,f136,f832]) ).
tff(f829,plain,
( model_ub(sK5,sK5,sK4)
| ~ spl6_13
| spl6_43
| ~ spl6_69 ),
inference(unit_resulting_resolution,[],[f283,f455,f137]) ).
tff(f825,plain,
( ~ spl6_117
| ~ spl6_13
| spl6_43
| spl6_49 ),
inference(avatar_split_clause,[],[f819,f314,f281,f136,f822]) ).
tff(f819,plain,
( ~ ub(sK3,sK5,sK3)
| ~ spl6_13
| spl6_43
| spl6_49 ),
inference(unit_resulting_resolution,[],[f283,f315,f137]) ).
tff(f805,plain,
( spl6_116
| ~ spl6_25
| spl6_64 ),
inference(avatar_split_clause,[],[f752,f415,f184,f802]) ).
tff(f752,plain,
( ( max(summation($sum(c,summation(sK1(sK3,sK5,sK4)))),summation(sK4)) = summation(sK4) )
| ~ spl6_25
| spl6_64 ),
inference(unit_resulting_resolution,[],[f417,f185]) ).
tff(f800,plain,
( ~ spl6_115
| ~ spl6_10
| spl6_64 ),
inference(avatar_split_clause,[],[f749,f415,f124,f797]) ).
tff(f749,plain,
( ~ $less(summation(summation(sK4)),summation(summation($sum(c,summation(sK1(sK3,sK5,sK4))))))
| ~ spl6_10
| spl6_64 ),
inference(unit_resulting_resolution,[],[f417,f125]) ).
tff(f795,plain,
( spl6_114
| ~ spl6_28
| spl6_64 ),
inference(avatar_split_clause,[],[f753,f415,f196,f792]) ).
tff(f753,plain,
( ( summation(sK4) = max(summation(sK4),summation($sum(c,summation(sK1(sK3,sK5,sK4))))) )
| ~ spl6_28
| spl6_64 ),
inference(unit_resulting_resolution,[],[f417,f197]) ).
tff(f790,plain,
( spl6_105
| spl6_104
| ~ spl6_28
| ~ spl6_63 ),
inference(avatar_split_clause,[],[f740,f410,f196,f719,f723]) ).
tff(f740,plain,
( ( $sum(c,summation(sK1(sK3,sK5,sK4))) = sK4 )
| $less($sum(c,summation(sK1(sK3,sK5,sK4))),sK4)
| ~ spl6_28
| ~ spl6_63 ),
inference(superposition,[],[f197,f412]) ).
tff(f789,plain,
( spl6_113
| ~ spl6_20
| spl6_64 ),
inference(avatar_split_clause,[],[f751,f415,f164,f784]) ).
tff(f751,plain,
( ub(summation($sum(c,summation(sK1(sK3,sK5,sK4)))),summation($sum(c,summation(sK1(sK3,sK5,sK4)))),summation(sK4))
| ~ spl6_20
| spl6_64 ),
inference(unit_resulting_resolution,[],[f417,f417,f165]) ).
tff(f788,plain,
( spl6_105
| spl6_104
| ~ spl6_28
| ~ spl6_63 ),
inference(avatar_split_clause,[],[f739,f410,f196,f719,f723]) ).
tff(f739,plain,
( ( $sum(c,summation(sK1(sK3,sK5,sK4))) = sK4 )
| $less($sum(c,summation(sK1(sK3,sK5,sK4))),sK4)
| ~ spl6_28
| ~ spl6_63 ),
inference(superposition,[],[f412,f197]) ).
tff(f787,plain,
( spl6_113
| ~ spl6_20
| spl6_64 ),
inference(avatar_split_clause,[],[f750,f415,f164,f784]) ).
tff(f750,plain,
( ub(summation($sum(c,summation(sK1(sK3,sK5,sK4)))),summation($sum(c,summation(sK1(sK3,sK5,sK4)))),summation(sK4))
| ~ spl6_20
| spl6_64 ),
inference(unit_resulting_resolution,[],[f417,f417,f165]) ).
tff(f782,plain,
( spl6_112
| ~ spl6_23
| ~ spl6_63 ),
inference(avatar_split_clause,[],[f741,f410,f176,f780]) ).
tff(f780,plain,
( spl6_112
<=> ! [X0: $int] :
( ~ model_max($sum(c,summation(sK1(sK3,sK5,sK4))),sK4,X0)
| ~ $less(X0,$sum(c,summation(sK4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_112])]) ).
tff(f741,plain,
( ! [X0: $int] :
( ~ model_max($sum(c,summation(sK1(sK3,sK5,sK4))),sK4,X0)
| ~ $less(X0,$sum(c,summation(sK4))) )
| ~ spl6_23
| ~ spl6_63 ),
inference(superposition,[],[f177,f412]) ).
tff(f776,plain,
( ~ spl6_111
| ~ spl6_4
| ~ spl6_37
| ~ spl6_46
| spl6_64
| ~ spl6_104 ),
inference(avatar_split_clause,[],[f771,f719,f415,f298,f246,f99,f773]) ).
tff(f771,plain,
( ~ $less(summation($sum(c,summation(sK5))),summation(sK4))
| ~ spl6_4
| ~ spl6_37
| ~ spl6_46
| spl6_64
| ~ spl6_104 ),
inference(forward_demodulation,[],[f770,f300]) ).
tff(f770,plain,
( ~ $less(summation($sum(c,summation(max(sK3,sK5)))),summation(sK4))
| ~ spl6_4
| ~ spl6_37
| spl6_64
| ~ spl6_104 ),
inference(forward_demodulation,[],[f748,f721]) ).
tff(f721,plain,
( ( $sum(c,summation(sK1(sK3,sK5,sK4))) = sK4 )
| ~ spl6_104 ),
inference(avatar_component_clause,[],[f719]) ).
tff(f748,plain,
( ~ $less(summation($sum(c,summation(max(sK3,sK5)))),summation($sum(c,summation(sK1(sK3,sK5,sK4)))))
| ~ spl6_4
| ~ spl6_37
| spl6_64 ),
inference(unit_resulting_resolution,[],[f247,f417,f100]) ).
tff(f247,plain,
( $less(summation(sK4),summation($sum(c,summation(max(sK3,sK5)))))
| ~ spl6_37 ),
inference(avatar_component_clause,[],[f246]) ).
tff(f769,plain,
( spl6_110
| ~ spl6_20
| spl6_64
| ~ spl6_104 ),
inference(avatar_split_clause,[],[f768,f719,f415,f164,f764]) ).
tff(f764,plain,
( spl6_110
<=> ub(summation(sK4),summation(sK4),summation(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_110])]) ).
tff(f768,plain,
( ub(summation(sK4),summation(sK4),summation(sK4))
| ~ spl6_20
| spl6_64
| ~ spl6_104 ),
inference(forward_demodulation,[],[f751,f721]) ).
tff(f767,plain,
( spl6_110
| ~ spl6_20
| spl6_64
| ~ spl6_104 ),
inference(avatar_split_clause,[],[f762,f719,f415,f164,f764]) ).
tff(f762,plain,
( ub(summation(sK4),summation(sK4),summation(sK4))
| ~ spl6_20
| spl6_64
| ~ spl6_104 ),
inference(forward_demodulation,[],[f750,f721]) ).
tff(f761,plain,
( spl6_109
| ~ spl6_25
| spl6_64
| ~ spl6_104 ),
inference(avatar_split_clause,[],[f760,f719,f415,f184,f756]) ).
tff(f760,plain,
( ( summation(sK4) = max(summation(sK4),summation(sK4)) )
| ~ spl6_25
| spl6_64
| ~ spl6_104 ),
inference(forward_demodulation,[],[f752,f721]) ).
tff(f759,plain,
( spl6_109
| ~ spl6_28
| spl6_64
| ~ spl6_104 ),
inference(avatar_split_clause,[],[f754,f719,f415,f196,f756]) ).
tff(f754,plain,
( ( summation(sK4) = max(summation(sK4),summation(sK4)) )
| ~ spl6_28
| spl6_64
| ~ spl6_104 ),
inference(forward_demodulation,[],[f753,f721]) ).
tff(f746,plain,
( spl6_108
| ~ spl6_23
| ~ spl6_63
| ~ spl6_104 ),
inference(avatar_split_clause,[],[f742,f719,f410,f176,f744]) ).
tff(f744,plain,
( spl6_108
<=> ! [X0: $int] :
( ~ $less(X0,$sum(c,summation(sK4)))
| ~ model_max(sK4,sK4,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_108])]) ).
tff(f742,plain,
( ! [X0: $int] :
( ~ $less(X0,$sum(c,summation(sK4)))
| ~ model_max(sK4,sK4,X0) )
| ~ spl6_23
| ~ spl6_63
| ~ spl6_104 ),
inference(forward_demodulation,[],[f741,f721]) ).
tff(f738,plain,
( spl6_107
| ~ spl6_23
| ~ spl6_47 ),
inference(avatar_split_clause,[],[f734,f303,f176,f736]) ).
tff(f736,plain,
( spl6_107
<=> ! [X0: $int] :
( ~ $less(X0,$sum(c,summation(sK5)))
| ~ model_max(sK5,sK3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_107])]) ).
tff(f303,plain,
( spl6_47
<=> ( sK5 = max(sK5,sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_47])]) ).
tff(f734,plain,
( ! [X0: $int] :
( ~ $less(X0,$sum(c,summation(sK5)))
| ~ model_max(sK5,sK3,X0) )
| ~ spl6_23
| ~ spl6_47 ),
inference(superposition,[],[f177,f305]) ).
tff(f305,plain,
( ( sK5 = max(sK5,sK3) )
| ~ spl6_47 ),
inference(avatar_component_clause,[],[f303]) ).
tff(f731,plain,
( spl6_106
| ~ spl6_23
| ~ spl6_62 ),
inference(avatar_split_clause,[],[f717,f405,f176,f729]) ).
tff(f729,plain,
( spl6_106
<=> ! [X0: $int] :
( ~ model_max(sK4,$sum(c,summation(sK1(sK3,sK5,sK4))),X0)
| ~ $less(X0,$sum(c,summation(sK4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_106])]) ).
tff(f717,plain,
( ! [X0: $int] :
( ~ model_max(sK4,$sum(c,summation(sK1(sK3,sK5,sK4))),X0)
| ~ $less(X0,$sum(c,summation(sK4))) )
| ~ spl6_23
| ~ spl6_62 ),
inference(superposition,[],[f177,f407]) ).
tff(f727,plain,
( spl6_105
| spl6_104
| ~ spl6_25
| ~ spl6_62 ),
inference(avatar_split_clause,[],[f716,f405,f184,f719,f723]) ).
tff(f716,plain,
( ( $sum(c,summation(sK1(sK3,sK5,sK4))) = sK4 )
| $less($sum(c,summation(sK1(sK3,sK5,sK4))),sK4)
| ~ spl6_25
| ~ spl6_62 ),
inference(superposition,[],[f185,f407]) ).
tff(f726,plain,
( spl6_104
| spl6_105
| ~ spl6_25
| ~ spl6_62 ),
inference(avatar_split_clause,[],[f715,f405,f184,f723,f719]) ).
tff(f715,plain,
( $less($sum(c,summation(sK1(sK3,sK5,sK4))),sK4)
| ( $sum(c,summation(sK1(sK3,sK5,sK4))) = sK4 )
| ~ spl6_25
| ~ spl6_62 ),
inference(superposition,[],[f407,f185]) ).
tff(f714,plain,
( ~ spl6_103
| spl6_45
| ~ spl6_46 ),
inference(avatar_split_clause,[],[f701,f298,f290,f709]) ).
tff(f701,plain,
( ( max(sK4,$sum(c,summation(sK5))) != sK4 )
| spl6_45
| ~ spl6_46 ),
inference(superposition,[],[f291,f300]) ).
tff(f291,plain,
( ( max(sK4,$sum(c,summation(max(sK3,sK5)))) != sK4 )
| spl6_45 ),
inference(avatar_component_clause,[],[f290]) ).
tff(f712,plain,
( ~ spl6_103
| ~ spl6_25
| spl6_38
| spl6_45 ),
inference(avatar_split_clause,[],[f707,f290,f254,f184,f709]) ).
tff(f707,plain,
( ( max(sK4,$sum(c,summation(sK5))) != sK4 )
| ~ spl6_25
| spl6_38
| spl6_45 ),
inference(subsumption_resolution,[],[f703,f255]) ).
tff(f703,plain,
( $less(sK5,sK3)
| ( max(sK4,$sum(c,summation(sK5))) != sK4 )
| ~ spl6_25
| spl6_45 ),
inference(superposition,[],[f291,f185]) ).
tff(f699,plain,
( spl6_101
| ~ spl6_102
| ~ spl6_28
| spl6_40
| ~ spl6_46 ),
inference(avatar_split_clause,[],[f690,f298,f263,f196,f696,f692]) ).
tff(f696,plain,
( spl6_102
<=> ( sK4 = $sum(c,summation(sK5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_102])]) ).
tff(f690,plain,
( ( sK4 != $sum(c,summation(sK5)) )
| $less($sum(c,summation(sK5)),sK4)
| ~ spl6_28
| spl6_40
| ~ spl6_46 ),
inference(forward_demodulation,[],[f689,f300]) ).
tff(f689,plain,
( $less($sum(c,summation(sK5)),sK4)
| ( $sum(c,summation(max(sK3,sK5))) != sK4 )
| ~ spl6_28
| spl6_40
| ~ spl6_46 ),
inference(forward_demodulation,[],[f679,f300]) ).
tff(f679,plain,
( $less($sum(c,summation(max(sK3,sK5))),sK4)
| ( $sum(c,summation(max(sK3,sK5))) != sK4 )
| ~ spl6_28
| spl6_40 ),
inference(superposition,[],[f264,f197]) ).
tff(f264,plain,
( ( max($sum(c,summation(max(sK3,sK5))),sK4) != sK4 )
| spl6_40 ),
inference(avatar_component_clause,[],[f263]) ).
tff(f688,plain,
( ~ spl6_100
| spl6_40
| ~ spl6_46 ),
inference(avatar_split_clause,[],[f676,f298,f263,f684]) ).
tff(f676,plain,
( ( max($sum(c,summation(sK5)),sK4) != sK4 )
| spl6_40
| ~ spl6_46 ),
inference(superposition,[],[f264,f300]) ).
tff(f687,plain,
( ~ spl6_100
| ~ spl6_25
| spl6_38
| spl6_40 ),
inference(avatar_split_clause,[],[f682,f263,f254,f184,f684]) ).
tff(f682,plain,
( ( max($sum(c,summation(sK5)),sK4) != sK4 )
| ~ spl6_25
| spl6_38
| spl6_40 ),
inference(subsumption_resolution,[],[f678,f255]) ).
tff(f678,plain,
( ( max($sum(c,summation(sK5)),sK4) != sK4 )
| $less(sK5,sK3)
| ~ spl6_25
| spl6_40 ),
inference(superposition,[],[f264,f185]) ).
tff(f674,plain,
( spl6_99
| ~ spl6_30
| ~ spl6_37
| ~ spl6_46 ),
inference(avatar_split_clause,[],[f670,f298,f246,f205,f672]) ).
tff(f672,plain,
( spl6_99
<=> ! [X0: $int] : ~ ub(summation($sum(c,summation(sK5))),X0,summation(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_99])]) ).
tff(f670,plain,
( ! [X0: $int] : ~ ub(summation($sum(c,summation(sK5))),X0,summation(sK4))
| ~ spl6_30
| ~ spl6_37
| ~ spl6_46 ),
inference(forward_demodulation,[],[f655,f300]) ).
tff(f655,plain,
( ! [X0: $int] : ~ ub(summation($sum(c,summation(max(sK3,sK5)))),X0,summation(sK4))
| ~ spl6_30
| ~ spl6_37 ),
inference(unit_resulting_resolution,[],[f247,f206]) ).
tff(f669,plain,
( spl6_98
| ~ spl6_11
| ~ spl6_37
| ~ spl6_46 ),
inference(avatar_split_clause,[],[f664,f298,f246,f128,f666]) ).
tff(f664,plain,
( $less(summation(summation(sK4)),summation(summation($sum(c,summation(sK5)))))
| ~ spl6_11
| ~ spl6_37
| ~ spl6_46 ),
inference(forward_demodulation,[],[f654,f300]) ).
tff(f654,plain,
( $less(summation(summation(sK4)),summation(summation($sum(c,summation(max(sK3,sK5))))))
| ~ spl6_11
| ~ spl6_37 ),
inference(unit_resulting_resolution,[],[f247,f129]) ).
tff(f663,plain,
( spl6_97
| ~ spl6_9
| ~ spl6_37
| ~ spl6_46 ),
inference(avatar_split_clause,[],[f659,f298,f246,f120,f661]) ).
tff(f661,plain,
( spl6_97
<=> ! [X0: $int] : ~ ub(X0,summation($sum(c,summation(sK5))),summation(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_97])]) ).
tff(f659,plain,
( ! [X0: $int] : ~ ub(X0,summation($sum(c,summation(sK5))),summation(sK4))
| ~ spl6_9
| ~ spl6_37
| ~ spl6_46 ),
inference(forward_demodulation,[],[f653,f300]) ).
tff(f653,plain,
( ! [X0: $int] : ~ ub(X0,summation($sum(c,summation(max(sK3,sK5)))),summation(sK4))
| ~ spl6_9
| ~ spl6_37 ),
inference(unit_resulting_resolution,[],[f247,f121]) ).
tff(f650,plain,
( ~ spl6_96
| ~ spl6_11
| spl6_65 ),
inference(avatar_split_clause,[],[f619,f421,f128,f647]) ).
tff(f619,plain,
( ~ $less(sK5,sK1(sK3,sK5,sK4))
| ~ spl6_11
| spl6_65 ),
inference(unit_resulting_resolution,[],[f423,f129]) ).
tff(f423,plain,
( ~ $less(summation(sK5),summation(sK1(sK3,sK5,sK4)))
| spl6_65 ),
inference(avatar_component_clause,[],[f421]) ).
tff(f645,plain,
( spl6_93
| ~ spl6_20
| spl6_65 ),
inference(avatar_split_clause,[],[f621,f421,f164,f631]) ).
tff(f631,plain,
( spl6_93
<=> ub(summation(sK1(sK3,sK5,sK4)),summation(sK1(sK3,sK5,sK4)),summation(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_93])]) ).
tff(f621,plain,
( ub(summation(sK1(sK3,sK5,sK4)),summation(sK1(sK3,sK5,sK4)),summation(sK5))
| ~ spl6_20
| spl6_65 ),
inference(unit_resulting_resolution,[],[f423,f423,f165]) ).
tff(f644,plain,
( spl6_95
| ~ spl6_28
| spl6_65 ),
inference(avatar_split_clause,[],[f622,f421,f196,f641]) ).
tff(f622,plain,
( ( summation(sK5) = max(summation(sK5),summation(sK1(sK3,sK5,sK4))) )
| ~ spl6_28
| spl6_65 ),
inference(unit_resulting_resolution,[],[f423,f197]) ).
tff(f639,plain,
( spl6_94
| ~ spl6_25
| spl6_65 ),
inference(avatar_split_clause,[],[f623,f421,f184,f636]) ).
tff(f623,plain,
( ( max(summation(sK1(sK3,sK5,sK4)),summation(sK5)) = summation(sK5) )
| ~ spl6_25
| spl6_65 ),
inference(unit_resulting_resolution,[],[f423,f185]) ).
tff(f634,plain,
( spl6_93
| ~ spl6_20
| spl6_65 ),
inference(avatar_split_clause,[],[f620,f421,f164,f631]) ).
tff(f620,plain,
( ub(summation(sK1(sK3,sK5,sK4)),summation(sK1(sK3,sK5,sK4)),summation(sK5))
| ~ spl6_20
| spl6_65 ),
inference(unit_resulting_resolution,[],[f423,f423,f165]) ).
tff(f629,plain,
( ~ spl6_92
| ~ spl6_10
| spl6_65 ),
inference(avatar_split_clause,[],[f624,f421,f124,f626]) ).
tff(f624,plain,
( ~ $less(summation(summation(sK5)),summation(summation(sK1(sK3,sK5,sK4))))
| ~ spl6_10
| spl6_65 ),
inference(unit_resulting_resolution,[],[f423,f125]) ).
tff(f618,plain,
( spl6_91
| ~ spl6_23
| ~ spl6_46 ),
inference(avatar_split_clause,[],[f614,f298,f176,f616]) ).
tff(f616,plain,
( spl6_91
<=> ! [X0: $int] :
( ~ model_max(sK3,sK5,X0)
| ~ $less(X0,$sum(c,summation(sK5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_91])]) ).
tff(f614,plain,
( ! [X0: $int] :
( ~ model_max(sK3,sK5,X0)
| ~ $less(X0,$sum(c,summation(sK5))) )
| ~ spl6_23
| ~ spl6_46 ),
inference(superposition,[],[f177,f300]) ).
tff(f606,plain,
( ~ spl6_90
| ~ spl6_10
| spl6_58 ),
inference(avatar_split_clause,[],[f579,f371,f124,f603]) ).
tff(f579,plain,
( ~ $less(summation(sK1(sK3,sK5,sK4)),summation(sK5))
| ~ spl6_10
| spl6_58 ),
inference(unit_resulting_resolution,[],[f373,f125]) ).
tff(f601,plain,
( spl6_89
| ~ spl6_20
| spl6_57
| spl6_58 ),
inference(avatar_split_clause,[],[f573,f371,f366,f164,f598]) ).
tff(f573,plain,
( ub(sK5,sK3,sK1(sK3,sK5,sK4))
| ~ spl6_20
| spl6_57
| spl6_58 ),
inference(unit_resulting_resolution,[],[f368,f373,f165]) ).
tff(f596,plain,
( spl6_88
| ~ spl6_25
| spl6_58 ),
inference(avatar_split_clause,[],[f578,f371,f184,f593]) ).
tff(f578,plain,
( ( sK1(sK3,sK5,sK4) = max(sK5,sK1(sK3,sK5,sK4)) )
| ~ spl6_25
| spl6_58 ),
inference(unit_resulting_resolution,[],[f373,f185]) ).
tff(f591,plain,
( spl6_87
| ~ spl6_28
| spl6_58 ),
inference(avatar_split_clause,[],[f577,f371,f196,f588]) ).
tff(f577,plain,
( ( sK1(sK3,sK5,sK4) = max(sK1(sK3,sK5,sK4),sK5) )
| ~ spl6_28
| spl6_58 ),
inference(unit_resulting_resolution,[],[f373,f197]) ).
tff(f586,plain,
( spl6_86
| ~ spl6_20
| spl6_58 ),
inference(avatar_split_clause,[],[f576,f371,f164,f582]) ).
tff(f582,plain,
( spl6_86
<=> ub(sK5,sK5,sK1(sK3,sK5,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_86])]) ).
tff(f576,plain,
( ub(sK5,sK5,sK1(sK3,sK5,sK4))
| ~ spl6_20
| spl6_58 ),
inference(unit_resulting_resolution,[],[f373,f373,f165]) ).
tff(f585,plain,
( spl6_86
| ~ spl6_20
| spl6_58 ),
inference(avatar_split_clause,[],[f574,f371,f164,f582]) ).
tff(f574,plain,
( ub(sK5,sK5,sK1(sK3,sK5,sK4))
| ~ spl6_20
| spl6_58 ),
inference(unit_resulting_resolution,[],[f373,f373,f165]) ).
tff(f572,plain,
( spl6_85
| ~ spl6_20
| spl6_43
| spl6_54 ),
inference(avatar_split_clause,[],[f533,f346,f281,f164,f569]) ).
tff(f533,plain,
( ub($sum(c,summation(sK3)),$sum(c,summation(sK1(sK3,sK5,sK4))),sK4)
| ~ spl6_20
| spl6_43
| spl6_54 ),
inference(unit_resulting_resolution,[],[f348,f283,f165]) ).
tff(f567,plain,
( spl6_81
| ~ spl6_20
| spl6_43 ),
inference(avatar_split_clause,[],[f534,f281,f164,f545]) ).
tff(f545,plain,
( spl6_81
<=> ub($sum(c,summation(sK3)),$sum(c,summation(sK3)),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_81])]) ).
tff(f534,plain,
( ub($sum(c,summation(sK3)),$sum(c,summation(sK3)),sK4)
| ~ spl6_20
| spl6_43 ),
inference(unit_resulting_resolution,[],[f283,f283,f165]) ).
tff(f566,plain,
( spl6_84
| ~ spl6_28
| spl6_43 ),
inference(avatar_split_clause,[],[f537,f281,f196,f563]) ).
tff(f537,plain,
( ( max(sK4,$sum(c,summation(sK3))) = sK4 )
| ~ spl6_28
| spl6_43 ),
inference(unit_resulting_resolution,[],[f283,f197]) ).
tff(f561,plain,
( spl6_83
| ~ spl6_25
| spl6_43 ),
inference(avatar_split_clause,[],[f538,f281,f184,f558]) ).
tff(f538,plain,
( ( max($sum(c,summation(sK3)),sK4) = sK4 )
| ~ spl6_25
| spl6_43 ),
inference(unit_resulting_resolution,[],[f283,f185]) ).
tff(f556,plain,
( spl6_82
| ~ spl6_20
| spl6_43
| spl6_54 ),
inference(avatar_split_clause,[],[f535,f346,f281,f164,f553]) ).
tff(f535,plain,
( ub($sum(c,summation(sK1(sK3,sK5,sK4))),$sum(c,summation(sK3)),sK4)
| ~ spl6_20
| spl6_43
| spl6_54 ),
inference(unit_resulting_resolution,[],[f348,f283,f165]) ).
tff(f550,plain,
( ~ spl6_10
| spl6_43
| ~ spl6_74 ),
inference(avatar_contradiction_clause,[],[f549]) ).
tff(f549,plain,
( $false
| ~ spl6_10
| spl6_43
| ~ spl6_74 ),
inference(subsumption_resolution,[],[f539,f492]) ).
tff(f492,plain,
( $less(summation(sK4),summation($sum(c,summation(sK3))))
| ~ spl6_74 ),
inference(avatar_component_clause,[],[f490]) ).
tff(f539,plain,
( ~ $less(summation(sK4),summation($sum(c,summation(sK3))))
| ~ spl6_10
| spl6_43 ),
inference(unit_resulting_resolution,[],[f283,f125]) ).
tff(f548,plain,
( spl6_81
| ~ spl6_20
| spl6_43 ),
inference(avatar_split_clause,[],[f536,f281,f164,f545]) ).
tff(f536,plain,
( ub($sum(c,summation(sK3)),$sum(c,summation(sK3)),sK4)
| ~ spl6_20
| spl6_43 ),
inference(unit_resulting_resolution,[],[f283,f283,f165]) ).
tff(f529,plain,
( spl6_43
| spl6_44
| ~ spl6_28
| ~ spl6_36 ),
inference(avatar_split_clause,[],[f380,f239,f196,f285,f281]) ).
tff(f380,plain,
( $less(sK3,sK5)
| $less(sK4,$sum(c,summation(sK3)))
| ~ spl6_28
| ~ spl6_36 ),
inference(superposition,[],[f240,f197]) ).
tff(f240,plain,
( $less(sK4,$sum(c,summation(max(sK3,sK5))))
| ~ spl6_36 ),
inference(avatar_component_clause,[],[f239]) ).
tff(f528,plain,
( spl6_80
| ~ spl6_25
| spl6_57 ),
inference(avatar_split_clause,[],[f506,f366,f184,f525]) ).
tff(f506,plain,
( ( sK1(sK3,sK5,sK4) = max(sK3,sK1(sK3,sK5,sK4)) )
| ~ spl6_25
| spl6_57 ),
inference(unit_resulting_resolution,[],[f368,f185]) ).
tff(f523,plain,
( spl6_79
| ~ spl6_20
| spl6_57 ),
inference(avatar_split_clause,[],[f503,f366,f164,f519]) ).
tff(f503,plain,
( ub(sK3,sK3,sK1(sK3,sK5,sK4))
| ~ spl6_20
| spl6_57 ),
inference(unit_resulting_resolution,[],[f368,f368,f165]) ).
tff(f522,plain,
( spl6_79
| ~ spl6_20
| spl6_57 ),
inference(avatar_split_clause,[],[f504,f366,f164,f519]) ).
tff(f504,plain,
( ub(sK3,sK3,sK1(sK3,sK5,sK4))
| ~ spl6_20
| spl6_57 ),
inference(unit_resulting_resolution,[],[f368,f368,f165]) ).
tff(f517,plain,
( spl6_78
| ~ spl6_28
| spl6_57 ),
inference(avatar_split_clause,[],[f505,f366,f196,f514]) ).
tff(f505,plain,
( ( sK1(sK3,sK5,sK4) = max(sK1(sK3,sK5,sK4),sK3) )
| ~ spl6_28
| spl6_57 ),
inference(unit_resulting_resolution,[],[f368,f197]) ).
tff(f512,plain,
( ~ spl6_77
| ~ spl6_10
| spl6_57 ),
inference(avatar_split_clause,[],[f507,f366,f124,f509]) ).
tff(f507,plain,
( ~ $less(summation(sK1(sK3,sK5,sK4)),summation(sK3))
| ~ spl6_10
| spl6_57 ),
inference(unit_resulting_resolution,[],[f368,f125]) ).
tff(f502,plain,
( ~ spl6_76
| ~ spl6_4
| ~ spl6_43
| spl6_54 ),
inference(avatar_split_clause,[],[f479,f346,f281,f99,f499]) ).
tff(f479,plain,
( ~ $less(summation(sK3),summation(sK1(sK3,sK5,sK4)))
| ~ spl6_4
| ~ spl6_43
| spl6_54 ),
inference(cancellation,[],[f474]) ).
tff(f474,plain,
( ~ $less($sum(c,summation(sK3)),$sum(c,summation(sK1(sK3,sK5,sK4))))
| ~ spl6_4
| ~ spl6_43
| spl6_54 ),
inference(unit_resulting_resolution,[],[f348,f282,f100]) ).
tff(f282,plain,
( $less(sK4,$sum(c,summation(sK3)))
| ~ spl6_43 ),
inference(avatar_component_clause,[],[f281]) ).
tff(f497,plain,
( spl6_75
| ~ spl6_9
| ~ spl6_43 ),
inference(avatar_split_clause,[],[f475,f281,f120,f495]) ).
tff(f495,plain,
( spl6_75
<=> ! [X0: $int] : ~ ub(X0,$sum(c,summation(sK3)),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_75])]) ).
tff(f475,plain,
( ! [X0: $int] : ~ ub(X0,$sum(c,summation(sK3)),sK4)
| ~ spl6_9
| ~ spl6_43 ),
inference(unit_resulting_resolution,[],[f282,f121]) ).
tff(f493,plain,
( spl6_74
| ~ spl6_11
| ~ spl6_43 ),
inference(avatar_split_clause,[],[f476,f281,f128,f490]) ).
tff(f476,plain,
( $less(summation(sK4),summation($sum(c,summation(sK3))))
| ~ spl6_11
| ~ spl6_43 ),
inference(unit_resulting_resolution,[],[f282,f129]) ).
tff(f488,plain,
( ~ spl6_73
| ~ spl6_29
| ~ spl6_43
| ~ spl6_49 ),
inference(avatar_split_clause,[],[f477,f314,f281,f201,f485]) ).
tff(f477,plain,
( ~ minsol_model_ub(sK3,sK5,$sum(c,summation(sK3)))
| ~ spl6_29
| ~ spl6_43
| ~ spl6_49 ),
inference(unit_resulting_resolution,[],[f316,f282,f202]) ).
tff(f483,plain,
( spl6_72
| ~ spl6_30
| ~ spl6_43 ),
inference(avatar_split_clause,[],[f478,f281,f205,f481]) ).
tff(f481,plain,
( spl6_72
<=> ! [X0: $int] : ~ ub($sum(c,summation(sK3)),X0,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_72])]) ).
tff(f478,plain,
( ! [X0: $int] : ~ ub($sum(c,summation(sK3)),X0,sK4)
| ~ spl6_30
| ~ spl6_43 ),
inference(unit_resulting_resolution,[],[f282,f206]) ).
tff(f473,plain,
( spl6_71
| ~ spl6_11
| ~ spl6_39 ),
inference(avatar_split_clause,[],[f465,f258,f128,f470]) ).
tff(f465,plain,
( $less(summation(sK4),summation($sum(c,summation(sK5))))
| ~ spl6_11
| ~ spl6_39 ),
inference(unit_resulting_resolution,[],[f259,f129]) ).
tff(f259,plain,
( $less(sK4,$sum(c,summation(sK5)))
| ~ spl6_39 ),
inference(avatar_component_clause,[],[f258]) ).
tff(f462,plain,
( spl6_70
| ~ spl6_28
| spl6_44 ),
inference(avatar_split_clause,[],[f444,f285,f196,f459]) ).
tff(f444,plain,
( ( sK3 = max(sK3,sK5) )
| ~ spl6_28
| spl6_44 ),
inference(unit_resulting_resolution,[],[f286,f197]) ).
tff(f457,plain,
( spl6_69
| ~ spl6_20
| spl6_44 ),
inference(avatar_split_clause,[],[f443,f285,f164,f453]) ).
tff(f443,plain,
( ub(sK5,sK5,sK3)
| ~ spl6_20
| spl6_44 ),
inference(unit_resulting_resolution,[],[f286,f286,f165]) ).
tff(f456,plain,
( spl6_69
| ~ spl6_20
| spl6_44 ),
inference(avatar_split_clause,[],[f442,f285,f164,f453]) ).
tff(f442,plain,
( ub(sK5,sK5,sK3)
| ~ spl6_20
| spl6_44 ),
inference(unit_resulting_resolution,[],[f286,f286,f165]) ).
tff(f451,plain,
( spl6_68
| ~ spl6_25
| spl6_44 ),
inference(avatar_split_clause,[],[f445,f285,f184,f448]) ).
tff(f445,plain,
( ( sK3 = max(sK5,sK3) )
| ~ spl6_25
| spl6_44 ),
inference(unit_resulting_resolution,[],[f286,f185]) ).
tff(f441,plain,
( spl6_67
| ~ spl6_20
| spl6_38 ),
inference(avatar_split_clause,[],[f432,f254,f164,f437]) ).
tff(f432,plain,
( ub(sK3,sK3,sK5)
| ~ spl6_20
| spl6_38 ),
inference(unit_resulting_resolution,[],[f255,f255,f165]) ).
tff(f440,plain,
( spl6_67
| ~ spl6_20
| spl6_38 ),
inference(avatar_split_clause,[],[f431,f254,f164,f437]) ).
tff(f431,plain,
( ub(sK3,sK3,sK5)
| ~ spl6_20
| spl6_38 ),
inference(unit_resulting_resolution,[],[f255,f255,f165]) ).
tff(f430,plain,
( spl6_66
| ~ spl6_20
| spl6_54 ),
inference(avatar_split_clause,[],[f425,f346,f164,f427]) ).
tff(f425,plain,
( ub($sum(c,summation(sK1(sK3,sK5,sK4))),$sum(c,summation(sK1(sK3,sK5,sK4))),sK4)
| ~ spl6_20
| spl6_54 ),
inference(unit_resulting_resolution,[],[f348,f348,f165]) ).
tff(f424,plain,
( ~ spl6_65
| ~ spl6_4
| ~ spl6_36
| ~ spl6_46
| spl6_54 ),
inference(avatar_split_clause,[],[f419,f346,f298,f239,f99,f421]) ).
tff(f419,plain,
( ~ $less(summation(sK5),summation(sK1(sK3,sK5,sK4)))
| ~ spl6_4
| ~ spl6_36
| ~ spl6_46
| spl6_54 ),
inference(forward_demodulation,[],[f403,f300]) ).
tff(f403,plain,
( ~ $less(summation(max(sK3,sK5)),summation(sK1(sK3,sK5,sK4)))
| ~ spl6_4
| ~ spl6_36
| spl6_54 ),
inference(cancellation,[],[f402]) ).
tff(f402,plain,
( ~ $less($sum(c,summation(max(sK3,sK5))),$sum(c,summation(sK1(sK3,sK5,sK4))))
| ~ spl6_4
| ~ spl6_36
| spl6_54 ),
inference(unit_resulting_resolution,[],[f240,f348,f100]) ).
tff(f418,plain,
( ~ spl6_64
| ~ spl6_10
| spl6_54 ),
inference(avatar_split_clause,[],[f401,f346,f124,f415]) ).
tff(f401,plain,
( ~ $less(summation(sK4),summation($sum(c,summation(sK1(sK3,sK5,sK4)))))
| ~ spl6_10
| spl6_54 ),
inference(unit_resulting_resolution,[],[f348,f125]) ).
tff(f413,plain,
( spl6_63
| ~ spl6_25
| spl6_54 ),
inference(avatar_split_clause,[],[f400,f346,f184,f410]) ).
tff(f400,plain,
( ( max($sum(c,summation(sK1(sK3,sK5,sK4))),sK4) = sK4 )
| ~ spl6_25
| spl6_54 ),
inference(unit_resulting_resolution,[],[f348,f185]) ).
tff(f408,plain,
( spl6_62
| ~ spl6_28
| spl6_54 ),
inference(avatar_split_clause,[],[f399,f346,f196,f405]) ).
tff(f399,plain,
( ( sK4 = max(sK4,$sum(c,summation(sK1(sK3,sK5,sK4)))) )
| ~ spl6_28
| spl6_54 ),
inference(unit_resulting_resolution,[],[f348,f197]) ).
tff(f397,plain,
( ~ spl6_61
| ~ spl6_29
| ~ spl6_36
| ~ spl6_46
| ~ spl6_49 ),
inference(avatar_split_clause,[],[f392,f314,f298,f239,f201,f394]) ).
tff(f392,plain,
( ~ minsol_model_ub(sK3,sK5,$sum(c,summation(sK5)))
| ~ spl6_29
| ~ spl6_36
| ~ spl6_46
| ~ spl6_49 ),
inference(forward_demodulation,[],[f378,f300]) ).
tff(f378,plain,
( ~ minsol_model_ub(sK3,sK5,$sum(c,summation(max(sK3,sK5))))
| ~ spl6_29
| ~ spl6_36
| ~ spl6_49 ),
inference(unit_resulting_resolution,[],[f316,f240,f202]) ).
tff(f391,plain,
( spl6_60
| ~ spl6_9
| ~ spl6_36
| ~ spl6_46 ),
inference(avatar_split_clause,[],[f387,f298,f239,f120,f389]) ).
tff(f389,plain,
( spl6_60
<=> ! [X0: $int] : ~ ub(X0,$sum(c,summation(sK5)),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_60])]) ).
tff(f387,plain,
( ! [X0: $int] : ~ ub(X0,$sum(c,summation(sK5)),sK4)
| ~ spl6_9
| ~ spl6_36
| ~ spl6_46 ),
inference(forward_demodulation,[],[f376,f300]) ).
tff(f376,plain,
( ! [X0: $int] : ~ ub(X0,$sum(c,summation(max(sK3,sK5))),sK4)
| ~ spl6_9
| ~ spl6_36 ),
inference(unit_resulting_resolution,[],[f240,f121]) ).
tff(f386,plain,
( spl6_59
| ~ spl6_30
| ~ spl6_36
| ~ spl6_46 ),
inference(avatar_split_clause,[],[f382,f298,f239,f205,f384]) ).
tff(f384,plain,
( spl6_59
<=> ! [X0: $int] : ~ ub($sum(c,summation(sK5)),X0,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_59])]) ).
tff(f382,plain,
( ! [X0: $int] : ~ ub($sum(c,summation(sK5)),X0,sK4)
| ~ spl6_30
| ~ spl6_36
| ~ spl6_46 ),
inference(forward_demodulation,[],[f379,f300]) ).
tff(f379,plain,
( ! [X0: $int] : ~ ub($sum(c,summation(max(sK3,sK5))),X0,sK4)
| ~ spl6_30
| ~ spl6_36 ),
inference(unit_resulting_resolution,[],[f240,f206]) ).
tff(f374,plain,
( ~ spl6_58
| ~ spl6_9
| ~ spl6_53 ),
inference(avatar_split_clause,[],[f364,f341,f120,f371]) ).
tff(f364,plain,
( ~ $less(sK1(sK3,sK5,sK4),sK5)
| ~ spl6_9
| ~ spl6_53 ),
inference(unit_resulting_resolution,[],[f343,f121]) ).
tff(f369,plain,
( ~ spl6_57
| ~ spl6_30
| ~ spl6_53 ),
inference(avatar_split_clause,[],[f363,f341,f205,f366]) ).
tff(f363,plain,
( ~ $less(sK1(sK3,sK5,sK4),sK3)
| ~ spl6_30
| ~ spl6_53 ),
inference(unit_resulting_resolution,[],[f343,f206]) ).
tff(f362,plain,
( ~ spl6_11
| ~ spl6_38
| spl6_48 ),
inference(avatar_contradiction_clause,[],[f361]) ).
tff(f361,plain,
( $false
| ~ spl6_11
| ~ spl6_38
| spl6_48 ),
inference(subsumption_resolution,[],[f351,f310]) ).
tff(f351,plain,
( $less(summation(sK5),summation(sK3))
| ~ spl6_11
| ~ spl6_38 ),
inference(unit_resulting_resolution,[],[f256,f129]) ).
tff(f256,plain,
( $less(sK5,sK3)
| ~ spl6_38 ),
inference(avatar_component_clause,[],[f254]) ).
tff(f360,plain,
( spl6_56
| ~ spl6_30
| ~ spl6_38 ),
inference(avatar_split_clause,[],[f352,f254,f205,f358]) ).
tff(f358,plain,
( spl6_56
<=> ! [X0: $int] : ~ ub(sK3,X0,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_56])]) ).
tff(f352,plain,
( ! [X0: $int] : ~ ub(sK3,X0,sK5)
| ~ spl6_30
| ~ spl6_38 ),
inference(unit_resulting_resolution,[],[f256,f206]) ).
tff(f356,plain,
( spl6_55
| ~ spl6_9
| ~ spl6_38 ),
inference(avatar_split_clause,[],[f350,f254,f120,f354]) ).
tff(f354,plain,
( spl6_55
<=> ! [X0: $int] : ~ ub(X0,sK3,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_55])]) ).
tff(f350,plain,
( ! [X0: $int] : ~ ub(X0,sK3,sK5)
| ~ spl6_9
| ~ spl6_38 ),
inference(unit_resulting_resolution,[],[f256,f121]) ).
tff(f349,plain,
( ~ spl6_54
| ~ spl6_17
| ~ spl6_49 ),
inference(avatar_split_clause,[],[f336,f314,f152,f346]) ).
tff(f336,plain,
( ~ $less(sK4,$sum(c,summation(sK1(sK3,sK5,sK4))))
| ~ spl6_17
| ~ spl6_49 ),
inference(unit_resulting_resolution,[],[f316,f153]) ).
tff(f344,plain,
( spl6_53
| ~ spl6_22
| ~ spl6_49 ),
inference(avatar_split_clause,[],[f337,f314,f172,f341]) ).
tff(f337,plain,
( ub(sK3,sK5,sK1(sK3,sK5,sK4))
| ~ spl6_22
| ~ spl6_49 ),
inference(unit_resulting_resolution,[],[f316,f173]) ).
tff(f333,plain,
( spl6_52
| ~ spl6_9
| ~ spl6_44 ),
inference(avatar_split_clause,[],[f318,f285,f120,f331]) ).
tff(f331,plain,
( spl6_52
<=> ! [X0: $int] : ~ ub(X0,sK5,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_52])]) ).
tff(f318,plain,
( ! [X0: $int] : ~ ub(X0,sK5,sK3)
| ~ spl6_9
| ~ spl6_44 ),
inference(unit_resulting_resolution,[],[f287,f121]) ).
tff(f329,plain,
( spl6_51
| ~ spl6_30
| ~ spl6_44 ),
inference(avatar_split_clause,[],[f320,f285,f205,f327]) ).
tff(f327,plain,
( spl6_51
<=> ! [X0: $int] : ~ ub(sK5,X0,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_51])]) ).
tff(f320,plain,
( ! [X0: $int] : ~ ub(sK5,X0,sK3)
| ~ spl6_30
| ~ spl6_44 ),
inference(unit_resulting_resolution,[],[f287,f206]) ).
tff(f325,plain,
( spl6_50
| ~ spl6_11
| ~ spl6_44 ),
inference(avatar_split_clause,[],[f319,f285,f128,f322]) ).
tff(f319,plain,
( $less(summation(sK3),summation(sK5))
| ~ spl6_11
| ~ spl6_44 ),
inference(unit_resulting_resolution,[],[f287,f129]) ).
tff(f317,plain,
( spl6_49
| ~ spl6_7
| ~ spl6_34 ),
inference(avatar_split_clause,[],[f312,f221,f111,f314]) ).
tff(f312,plain,
( model_ub(sK3,sK5,sK4)
| ~ spl6_7
| ~ spl6_34 ),
inference(unit_resulting_resolution,[],[f113,f222]) ).
tff(f311,plain,
( ~ spl6_48
| ~ spl6_10
| spl6_38 ),
inference(avatar_split_clause,[],[f296,f254,f124,f308]) ).
tff(f296,plain,
( ~ $less(summation(sK5),summation(sK3))
| ~ spl6_10
| spl6_38 ),
inference(unit_resulting_resolution,[],[f255,f125]) ).
tff(f306,plain,
( spl6_47
| ~ spl6_28
| spl6_38 ),
inference(avatar_split_clause,[],[f294,f254,f196,f303]) ).
tff(f294,plain,
( ( sK5 = max(sK5,sK3) )
| ~ spl6_28
| spl6_38 ),
inference(unit_resulting_resolution,[],[f255,f197]) ).
tff(f301,plain,
( spl6_46
| ~ spl6_25
| spl6_38 ),
inference(avatar_split_clause,[],[f295,f254,f184,f298]) ).
tff(f295,plain,
( ( sK5 = max(sK3,sK5) )
| ~ spl6_25
| spl6_38 ),
inference(unit_resulting_resolution,[],[f255,f185]) ).
tff(f293,plain,
( spl6_45
| ~ spl6_28
| spl6_36 ),
inference(avatar_split_clause,[],[f271,f239,f196,f290]) ).
tff(f271,plain,
( ( max(sK4,$sum(c,summation(max(sK3,sK5)))) = sK4 )
| ~ spl6_28
| spl6_36 ),
inference(unit_resulting_resolution,[],[f241,f197]) ).
tff(f288,plain,
( ~ spl6_43
| spl6_44
| ~ spl6_28
| spl6_36 ),
inference(avatar_split_clause,[],[f275,f239,f196,f285,f281]) ).
tff(f275,plain,
( $less(sK3,sK5)
| ~ $less(sK4,$sum(c,summation(sK3)))
| ~ spl6_28
| spl6_36 ),
inference(superposition,[],[f241,f197]) ).
tff(f279,plain,
( spl6_42
| ~ spl6_23
| ~ spl6_28 ),
inference(avatar_split_clause,[],[f274,f196,f176,f277]) ).
tff(f274,plain,
( ! [X2: $int,X3: $int,X4: $int] :
( ~ $less(X4,$sum(c,summation(X2)))
| $less(X2,X3)
| ~ model_max(X2,X3,X4) )
| ~ spl6_23
| ~ spl6_28 ),
inference(superposition,[],[f177,f197]) ).
tff(f270,plain,
( spl6_41
| ~ spl6_23
| ~ spl6_25 ),
inference(avatar_split_clause,[],[f251,f184,f176,f268]) ).
tff(f251,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( ~ model_max(X0,X1,X2)
| $less(X1,X0)
| ~ $less(X2,$sum(c,summation(X1))) )
| ~ spl6_23
| ~ spl6_25 ),
inference(superposition,[],[f177,f185]) ).
tff(f266,plain,
( spl6_40
| ~ spl6_25
| spl6_36 ),
inference(avatar_split_clause,[],[f250,f239,f184,f263]) ).
tff(f250,plain,
( ( max($sum(c,summation(max(sK3,sK5))),sK4) = sK4 )
| ~ spl6_25
| spl6_36 ),
inference(unit_resulting_resolution,[],[f241,f185]) ).
tff(f261,plain,
( spl6_38
| ~ spl6_39
| ~ spl6_25
| spl6_36 ),
inference(avatar_split_clause,[],[f252,f239,f184,f258,f254]) ).
tff(f252,plain,
( ~ $less(sK4,$sum(c,summation(sK5)))
| $less(sK5,sK3)
| ~ spl6_25
| spl6_36 ),
inference(superposition,[],[f241,f185]) ).
tff(f249,plain,
( ~ spl6_37
| ~ spl6_10
| spl6_36 ),
inference(avatar_split_clause,[],[f244,f239,f124,f246]) ).
tff(f244,plain,
( ~ $less(summation(sK4),summation($sum(c,summation(max(sK3,sK5)))))
| ~ spl6_10
| spl6_36 ),
inference(unit_resulting_resolution,[],[f241,f125]) ).
tff(f242,plain,
( ~ spl6_36
| ~ spl6_23
| ~ spl6_35 ),
inference(avatar_split_clause,[],[f237,f231,f176,f239]) ).
tff(f237,plain,
( ~ $less(sK4,$sum(c,summation(max(sK3,sK5))))
| ~ spl6_23
| ~ spl6_35 ),
inference(unit_resulting_resolution,[],[f233,f177]) ).
tff(f234,plain,
( spl6_35
| ~ spl6_8
| ~ spl6_14 ),
inference(avatar_split_clause,[],[f229,f140,f115,f231]) ).
tff(f229,plain,
( model_max(sK3,sK5,sK4)
| ~ spl6_8
| ~ spl6_14 ),
inference(unit_resulting_resolution,[],[f117,f141]) ).
tff(f223,plain,
spl6_34,
inference(avatar_split_clause,[],[f76,f221]) ).
tff(f76,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ minsol_model_ub(X0,X1,X2)
| model_ub(X0,X1,X2) ),
inference(cnf_transformation,[],[f55]) ).
tff(f55,plain,
! [X0: $int,X1: $int,X2: $int] :
( ( minsol_model_ub(X0,X1,X2)
| ~ model_ub(X0,X1,X2)
| ( $less(sK2(X0,X1,X2),X2)
& model_ub(X0,X1,sK2(X0,X1,X2)) ) )
& ( ( model_ub(X0,X1,X2)
& ! [X4: $int] :
( ~ $less(X4,X2)
| ~ model_ub(X0,X1,X4) ) )
| ~ minsol_model_ub(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f53,f54]) ).
tff(f54,plain,
! [X0: $int,X1: $int,X2: $int] :
( ? [X3: $int] :
( $less(X3,X2)
& model_ub(X0,X1,X3) )
=> ( $less(sK2(X0,X1,X2),X2)
& model_ub(X0,X1,sK2(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
tff(f53,plain,
! [X0: $int,X1: $int,X2: $int] :
( ( minsol_model_ub(X0,X1,X2)
| ~ model_ub(X0,X1,X2)
| ? [X3: $int] :
( $less(X3,X2)
& model_ub(X0,X1,X3) ) )
& ( ( model_ub(X0,X1,X2)
& ! [X4: $int] :
( ~ $less(X4,X2)
| ~ model_ub(X0,X1,X4) ) )
| ~ minsol_model_ub(X0,X1,X2) ) ),
inference(rectify,[],[f52]) ).
tff(f52,plain,
! [X0: $int,X2: $int,X1: $int] :
( ( minsol_model_ub(X0,X2,X1)
| ~ model_ub(X0,X2,X1)
| ? [X3: $int] :
( $less(X3,X1)
& model_ub(X0,X2,X3) ) )
& ( ( model_ub(X0,X2,X1)
& ! [X3: $int] :
( ~ $less(X3,X1)
| ~ model_ub(X0,X2,X3) ) )
| ~ minsol_model_ub(X0,X2,X1) ) ),
inference(flattening,[],[f51]) ).
tff(f51,plain,
! [X0: $int,X2: $int,X1: $int] :
( ( minsol_model_ub(X0,X2,X1)
| ~ model_ub(X0,X2,X1)
| ? [X3: $int] :
( $less(X3,X1)
& model_ub(X0,X2,X3) ) )
& ( ( model_ub(X0,X2,X1)
& ! [X3: $int] :
( ~ $less(X3,X1)
| ~ model_ub(X0,X2,X3) ) )
| ~ minsol_model_ub(X0,X2,X1) ) ),
inference(nnf_transformation,[],[f38]) ).
tff(f38,plain,
! [X0: $int,X2: $int,X1: $int] :
( minsol_model_ub(X0,X2,X1)
<=> ( model_ub(X0,X2,X1)
& ! [X3: $int] :
( ~ $less(X3,X1)
| ~ model_ub(X0,X2,X3) ) ) ),
inference(ennf_transformation,[],[f33]) ).
tff(f33,plain,
! [X2: $int,X0: $int,X1: $int] :
( ( ! [X3: $int] :
( model_ub(X0,X2,X3)
=> ~ $less(X3,X1) )
& model_ub(X0,X2,X1) )
<=> minsol_model_ub(X0,X2,X1) ),
inference(rectify,[],[f16]) ).
tff(f16,plain,
! [X0: $int,X3: $int,X1: $int] :
( ( model_ub(X0,X1,X3)
& ! [X2: $int] :
( model_ub(X0,X1,X2)
=> ~ $less(X2,X3) ) )
<=> minsol_model_ub(X0,X1,X3) ),
inference(theory_normalization,[],[f8]) ).
tff(f8,axiom,
! [X0: $int,X3: $int,X1: $int] :
( ( model_ub(X0,X1,X3)
& ! [X2: $int] :
( model_ub(X0,X1,X2)
=> $lesseq(X3,X2) ) )
<=> minsol_model_ub(X0,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',minsol_model_ub) ).
tff(f219,plain,
spl6_33,
inference(avatar_split_clause,[],[f26,f217]) ).
tff(f217,plain,
( spl6_33
<=> ! [X0: $int,X1: $int] :
( $less(X0,X1)
| ( X0 = X1 )
| $less(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_33])]) ).
tff(f26,plain,
! [X0: $int,X1: $int] :
( $less(X0,X1)
| ( X0 = X1 )
| $less(X1,X0) ),
introduced(theory_axiom_149,[]) ).
tff(f215,plain,
spl6_32,
inference(avatar_split_clause,[],[f22,f213]) ).
tff(f213,plain,
( spl6_32
<=> ! [X0: $int,X1: $int] : ( $sum($uminus(X1),$uminus(X0)) = $uminus($sum(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_32])]) ).
tff(f22,plain,
! [X0: $int,X1: $int] : ( $sum($uminus(X1),$uminus(X0)) = $uminus($sum(X0,X1)) ),
introduced(theory_axiom_144,[]) ).
tff(f211,plain,
spl6_31,
inference(avatar_split_clause,[],[f20,f209]) ).
tff(f209,plain,
( spl6_31
<=> ! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_31])]) ).
tff(f20,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
introduced(theory_axiom_141,[]) ).
tff(f207,plain,
spl6_30,
inference(avatar_split_clause,[],[f73,f205]) ).
tff(f73,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ ub(X0,X1,X2)
| ~ $less(X2,X0) ),
inference(cnf_transformation,[],[f50]) ).
tff(f50,plain,
! [X0: $int,X1: $int,X2: $int] :
( ( ub(X0,X1,X2)
| $less(X2,X0)
| $less(X2,X1) )
& ( ( ~ $less(X2,X0)
& ~ $less(X2,X1) )
| ~ ub(X0,X1,X2) ) ),
inference(rectify,[],[f49]) ).
tff(f49,plain,
! [X1: $int,X0: $int,X2: $int] :
( ( ub(X1,X0,X2)
| $less(X2,X1)
| $less(X2,X0) )
& ( ( ~ $less(X2,X1)
& ~ $less(X2,X0) )
| ~ ub(X1,X0,X2) ) ),
inference(flattening,[],[f48]) ).
tff(f48,plain,
! [X1: $int,X0: $int,X2: $int] :
( ( ub(X1,X0,X2)
| $less(X2,X1)
| $less(X2,X0) )
& ( ( ~ $less(X2,X1)
& ~ $less(X2,X0) )
| ~ ub(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f35]) ).
tff(f35,plain,
! [X1: $int,X0: $int,X2: $int] :
( ub(X1,X0,X2)
<=> ( ~ $less(X2,X1)
& ~ $less(X2,X0) ) ),
inference(rectify,[],[f18]) ).
tff(f18,plain,
! [X1: $int,X0: $int,X2: $int] :
( ( ~ $less(X2,X1)
& ~ $less(X2,X0) )
<=> ub(X0,X1,X2) ),
inference(theory_normalization,[],[f4]) ).
tff(f4,axiom,
! [X1: $int,X0: $int,X2: $int] :
( ( $lesseq(X1,X2)
& $lesseq(X0,X2) )
<=> ub(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ub) ).
tff(f203,plain,
spl6_29,
inference(avatar_split_clause,[],[f75,f201]) ).
tff(f75,plain,
! [X2: $int,X0: $int,X1: $int,X4: $int] :
( ~ $less(X4,X2)
| ~ model_ub(X0,X1,X4)
| ~ minsol_model_ub(X0,X1,X2) ),
inference(cnf_transformation,[],[f55]) ).
tff(f199,plain,
( ~ spl6_8
| ~ spl6_7 ),
inference(avatar_split_clause,[],[f81,f111,f115]) ).
tff(f81,plain,
( ~ minsol_model_ub(sK3,sK5,sK4)
| ~ minsol_model_max(sK3,sK5,sK4) ),
inference(cnf_transformation,[],[f60]) ).
tff(f60,plain,
( ( ~ minsol_model_max(sK3,sK5,sK4)
| ~ minsol_model_ub(sK3,sK5,sK4) )
& ( minsol_model_max(sK3,sK5,sK4)
| minsol_model_ub(sK3,sK5,sK4) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5])],[f58,f59]) ).
tff(f59,plain,
( ? [X0: $int,X1: $int,X2: $int] :
( ( ~ minsol_model_max(X0,X2,X1)
| ~ minsol_model_ub(X0,X2,X1) )
& ( minsol_model_max(X0,X2,X1)
| minsol_model_ub(X0,X2,X1) ) )
=> ( ( ~ minsol_model_max(sK3,sK5,sK4)
| ~ minsol_model_ub(sK3,sK5,sK4) )
& ( minsol_model_max(sK3,sK5,sK4)
| minsol_model_ub(sK3,sK5,sK4) ) ) ),
introduced(choice_axiom,[]) ).
tff(f58,plain,
? [X0: $int,X1: $int,X2: $int] :
( ( ~ minsol_model_max(X0,X2,X1)
| ~ minsol_model_ub(X0,X2,X1) )
& ( minsol_model_max(X0,X2,X1)
| minsol_model_ub(X0,X2,X1) ) ),
inference(rectify,[],[f57]) ).
tff(f57,plain,
? [X0: $int,X2: $int,X1: $int] :
( ( ~ minsol_model_max(X0,X1,X2)
| ~ minsol_model_ub(X0,X1,X2) )
& ( minsol_model_max(X0,X1,X2)
| minsol_model_ub(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f36]) ).
tff(f36,plain,
? [X0: $int,X2: $int,X1: $int] :
( minsol_model_ub(X0,X1,X2)
<~> minsol_model_max(X0,X1,X2) ),
inference(ennf_transformation,[],[f10]) ).
tff(f10,negated_conjecture,
~ ! [X0: $int,X2: $int,X1: $int] :
( minsol_model_ub(X0,X1,X2)
<=> minsol_model_max(X0,X1,X2) ),
inference(negated_conjecture,[],[f9]) ).
tff(f9,conjecture,
! [X0: $int,X2: $int,X1: $int] :
( minsol_model_ub(X0,X1,X2)
<=> minsol_model_max(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',max_is_ub_1) ).
tff(f198,plain,
spl6_28,
inference(avatar_split_clause,[],[f79,f196]) ).
tff(f79,plain,
! [X0: $int,X1: $int] :
( $less(X1,X0)
| ( max(X1,X0) = X1 ) ),
inference(cnf_transformation,[],[f56]) ).
tff(f56,plain,
! [X0: $int,X1: $int] :
( $less(X1,X0)
| ( max(X1,X0) = X1 ) ),
inference(rectify,[],[f12]) ).
tff(f12,plain,
! [X1: $int,X0: $int] :
( $less(X0,X1)
| ( max(X0,X1) = X0 ) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,axiom,
! [X0: $int,X1: $int] :
( ~ $lesseq(X1,X0)
| ( max(X0,X1) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',max_1) ).
tff(f194,plain,
spl6_27,
inference(avatar_split_clause,[],[f77,f192]) ).
tff(f77,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ model_ub(X0,X1,X2)
| model_ub(X0,X1,sK2(X0,X1,X2))
| minsol_model_ub(X0,X1,X2) ),
inference(cnf_transformation,[],[f55]) ).
tff(f190,plain,
spl6_26,
inference(avatar_split_clause,[],[f82,f188]) ).
tff(f82,plain,
! [X2: $int,X0: $int,X1: $int] :
( model_max(X0,X2,X1)
| $less(X1,$sum(c,summation(max(X0,X2)))) ),
inference(cnf_transformation,[],[f62]) ).
tff(f62,plain,
! [X0: $int,X1: $int,X2: $int] :
( ( ~ $less(X1,$sum(c,summation(max(X0,X2))))
| ~ model_max(X0,X2,X1) )
& ( model_max(X0,X2,X1)
| $less(X1,$sum(c,summation(max(X0,X2)))) ) ),
inference(rectify,[],[f61]) ).
tff(f61,plain,
! [X2: $int,X0: $int,X1: $int] :
( ( ~ $less(X0,$sum(c,summation(max(X2,X1))))
| ~ model_max(X2,X1,X0) )
& ( model_max(X2,X1,X0)
| $less(X0,$sum(c,summation(max(X2,X1)))) ) ),
inference(nnf_transformation,[],[f32]) ).
tff(f32,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X0,$sum(c,summation(max(X2,X1))))
<=> model_max(X2,X1,X0) ),
inference(rectify,[],[f15]) ).
tff(f15,plain,
! [X3: $int,X1: $int,X0: $int] :
( model_max(X0,X1,X3)
<=> ~ $less(X3,$sum(c,summation(max(X0,X1)))) ),
inference(theory_normalization,[],[f5]) ).
tff(f5,axiom,
! [X3: $int,X1: $int,X0: $int] :
( model_max(X0,X1,X3)
<=> $lesseq($sum(c,summation(max(X0,X1))),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',model_max_5) ).
tff(f186,plain,
spl6_25,
inference(avatar_split_clause,[],[f71,f184]) ).
tff(f71,plain,
! [X0: $int,X1: $int] :
( $less(X1,X0)
| ( max(X0,X1) = X1 ) ),
inference(cnf_transformation,[],[f11]) ).
tff(f11,plain,
! [X0: $int,X1: $int] :
( $less(X1,X0)
| ( max(X0,X1) = X1 ) ),
inference(theory_normalization,[],[f3]) ).
tff(f3,axiom,
! [X0: $int,X1: $int] :
( ( max(X0,X1) = X1 )
| ~ $lesseq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',max_2) ).
tff(f182,plain,
spl6_24,
inference(avatar_split_clause,[],[f29,f180]) ).
tff(f180,plain,
( spl6_24
<=> ! [X0: $int] : ( $uminus($uminus(X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_24])]) ).
tff(f29,plain,
! [X0: $int] : ( $uminus($uminus(X0)) = X0 ),
introduced(theory_axiom_153,[]) ).
tff(f178,plain,
spl6_23,
inference(avatar_split_clause,[],[f83,f176]) ).
tff(f83,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X1,$sum(c,summation(max(X0,X2))))
| ~ model_max(X0,X2,X1) ),
inference(cnf_transformation,[],[f62]) ).
tff(f174,plain,
spl6_22,
inference(avatar_split_clause,[],[f69,f172]) ).
tff(f69,plain,
! [X2: $int,X0: $int,X1: $int] :
( ub(X0,X1,sK1(X0,X1,X2))
| ~ model_ub(X0,X1,X2) ),
inference(cnf_transformation,[],[f47]) ).
tff(f47,plain,
! [X0: $int,X1: $int,X2: $int] :
( ( ( ~ $less(X2,$sum(c,summation(sK1(X0,X1,X2))))
& ub(X0,X1,sK1(X0,X1,X2)) )
| ~ model_ub(X0,X1,X2) )
& ( model_ub(X0,X1,X2)
| ! [X4: $int] :
( $less(X2,$sum(c,summation(X4)))
| ~ ub(X0,X1,X4) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f45,f46]) ).
tff(f46,plain,
! [X0: $int,X1: $int,X2: $int] :
( ? [X3: $int] :
( ~ $less(X2,$sum(c,summation(X3)))
& ub(X0,X1,X3) )
=> ( ~ $less(X2,$sum(c,summation(sK1(X0,X1,X2))))
& ub(X0,X1,sK1(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
tff(f45,plain,
! [X0: $int,X1: $int,X2: $int] :
( ( ? [X3: $int] :
( ~ $less(X2,$sum(c,summation(X3)))
& ub(X0,X1,X3) )
| ~ model_ub(X0,X1,X2) )
& ( model_ub(X0,X1,X2)
| ! [X4: $int] :
( $less(X2,$sum(c,summation(X4)))
| ~ ub(X0,X1,X4) ) ) ),
inference(rectify,[],[f44]) ).
tff(f44,plain,
! [X1: $int,X2: $int,X0: $int] :
( ( ? [X3: $int] :
( ~ $less(X0,$sum(c,summation(X3)))
& ub(X1,X2,X3) )
| ~ model_ub(X1,X2,X0) )
& ( model_ub(X1,X2,X0)
| ! [X3: $int] :
( $less(X0,$sum(c,summation(X3)))
| ~ ub(X1,X2,X3) ) ) ),
inference(nnf_transformation,[],[f31]) ).
tff(f31,plain,
! [X1: $int,X2: $int,X0: $int] :
( ? [X3: $int] :
( ~ $less(X0,$sum(c,summation(X3)))
& ub(X1,X2,X3) )
<=> model_ub(X1,X2,X0) ),
inference(rectify,[],[f14]) ).
tff(f14,plain,
! [X3: $int,X0: $int,X1: $int] :
( model_ub(X0,X1,X3)
<=> ? [X2: $int] :
( ~ $less(X3,$sum(c,summation(X2)))
& ub(X0,X1,X2) ) ),
inference(theory_normalization,[],[f6]) ).
tff(f6,axiom,
! [X3: $int,X0: $int,X1: $int] :
( model_ub(X0,X1,X3)
<=> ? [X2: $int] :
( $lesseq($sum(c,summation(X2)),X3)
& ub(X0,X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',model_ub_5) ).
tff(f170,plain,
spl6_21,
inference(avatar_split_clause,[],[f27,f168]) ).
tff(f168,plain,
( spl6_21
<=> ! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less($sum(X0,X2),$sum(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_21])]) ).
tff(f27,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less($sum(X0,X2),$sum(X1,X2)) ),
introduced(theory_axiom_150,[]) ).
tff(f166,plain,
spl6_20,
inference(avatar_split_clause,[],[f74,f164]) ).
tff(f74,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less(X2,X0)
| ub(X0,X1,X2)
| $less(X2,X1) ),
inference(cnf_transformation,[],[f50]) ).
tff(f162,plain,
spl6_19,
inference(avatar_split_clause,[],[f30,f160]) ).
tff(f160,plain,
( spl6_19
<=> ! [X0: $int,X1: $int] :
( ~ $less(X1,$sum(X0,1))
| ~ $less(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_19])]) ).
tff(f30,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,$sum(X0,1))
| ~ $less(X0,X1) ),
introduced(theory_axiom_166,[]) ).
tff(f158,plain,
spl6_18,
inference(avatar_split_clause,[],[f19,f156]) ).
tff(f156,plain,
( spl6_18
<=> ! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_18])]) ).
tff(f19,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_140,[]) ).
tff(f154,plain,
spl6_17,
inference(avatar_split_clause,[],[f70,f152]) ).
tff(f70,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X2,$sum(c,summation(sK1(X0,X1,X2))))
| ~ model_ub(X0,X1,X2) ),
inference(cnf_transformation,[],[f47]) ).
tff(f150,plain,
spl6_16,
inference(avatar_split_clause,[],[f28,f148]) ).
tff(f148,plain,
( spl6_16
<=> ! [X0: $int,X1: $int] :
( $less(X0,X1)
| $less(X1,$sum(X0,1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_16])]) ).
tff(f28,plain,
! [X0: $int,X1: $int] :
( $less(X0,X1)
| $less(X1,$sum(X0,1)) ),
introduced(theory_axiom_152,[]) ).
tff(f146,plain,
spl6_15,
inference(avatar_split_clause,[],[f66,f144]) ).
tff(f66,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less(sK0(X0,X1,X2),X1)
| minsol_model_max(X2,X0,X1)
| ~ model_max(X2,X0,X1) ),
inference(cnf_transformation,[],[f43]) ).
tff(f43,plain,
! [X0: $int,X1: $int,X2: $int] :
( ( minsol_model_max(X2,X0,X1)
| ~ model_max(X2,X0,X1)
| ( model_max(X2,X0,sK0(X0,X1,X2))
& $less(sK0(X0,X1,X2),X1) ) )
& ( ( model_max(X2,X0,X1)
& ! [X4: $int] :
( ~ model_max(X2,X0,X4)
| ~ $less(X4,X1) ) )
| ~ minsol_model_max(X2,X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f41,f42]) ).
tff(f42,plain,
! [X0: $int,X1: $int,X2: $int] :
( ? [X3: $int] :
( model_max(X2,X0,X3)
& $less(X3,X1) )
=> ( model_max(X2,X0,sK0(X0,X1,X2))
& $less(sK0(X0,X1,X2),X1) ) ),
introduced(choice_axiom,[]) ).
tff(f41,plain,
! [X0: $int,X1: $int,X2: $int] :
( ( minsol_model_max(X2,X0,X1)
| ~ model_max(X2,X0,X1)
| ? [X3: $int] :
( model_max(X2,X0,X3)
& $less(X3,X1) ) )
& ( ( model_max(X2,X0,X1)
& ! [X4: $int] :
( ~ model_max(X2,X0,X4)
| ~ $less(X4,X1) ) )
| ~ minsol_model_max(X2,X0,X1) ) ),
inference(rectify,[],[f40]) ).
tff(f40,plain,
! [X0: $int,X1: $int,X2: $int] :
( ( minsol_model_max(X2,X0,X1)
| ~ model_max(X2,X0,X1)
| ? [X3: $int] :
( model_max(X2,X0,X3)
& $less(X3,X1) ) )
& ( ( model_max(X2,X0,X1)
& ! [X3: $int] :
( ~ model_max(X2,X0,X3)
| ~ $less(X3,X1) ) )
| ~ minsol_model_max(X2,X0,X1) ) ),
inference(flattening,[],[f39]) ).
tff(f39,plain,
! [X0: $int,X1: $int,X2: $int] :
( ( minsol_model_max(X2,X0,X1)
| ~ model_max(X2,X0,X1)
| ? [X3: $int] :
( model_max(X2,X0,X3)
& $less(X3,X1) ) )
& ( ( model_max(X2,X0,X1)
& ! [X3: $int] :
( ~ model_max(X2,X0,X3)
| ~ $less(X3,X1) ) )
| ~ minsol_model_max(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f37]) ).
tff(f37,plain,
! [X0: $int,X1: $int,X2: $int] :
( minsol_model_max(X2,X0,X1)
<=> ( model_max(X2,X0,X1)
& ! [X3: $int] :
( ~ model_max(X2,X0,X3)
| ~ $less(X3,X1) ) ) ),
inference(ennf_transformation,[],[f34]) ).
tff(f34,plain,
! [X2: $int,X0: $int,X1: $int] :
( minsol_model_max(X2,X0,X1)
<=> ( ! [X3: $int] :
( model_max(X2,X0,X3)
=> ~ $less(X3,X1) )
& model_max(X2,X0,X1) ) ),
inference(rectify,[],[f17]) ).
tff(f17,plain,
! [X1: $int,X3: $int,X0: $int] :
( minsol_model_max(X0,X1,X3)
<=> ( ! [X2: $int] :
( model_max(X0,X1,X2)
=> ~ $less(X2,X3) )
& model_max(X0,X1,X3) ) ),
inference(theory_normalization,[],[f7]) ).
tff(f7,axiom,
! [X1: $int,X3: $int,X0: $int] :
( minsol_model_max(X0,X1,X3)
<=> ( ! [X2: $int] :
( model_max(X0,X1,X2)
=> $lesseq(X3,X2) )
& model_max(X0,X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',minsol_model_max) ).
tff(f142,plain,
spl6_14,
inference(avatar_split_clause,[],[f65,f140]) ).
tff(f65,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ minsol_model_max(X2,X0,X1)
| model_max(X2,X0,X1) ),
inference(cnf_transformation,[],[f43]) ).
tff(f138,plain,
spl6_13,
inference(avatar_split_clause,[],[f68,f136]) ).
tff(f68,plain,
! [X2: $int,X0: $int,X1: $int,X4: $int] :
( $less(X2,$sum(c,summation(X4)))
| model_ub(X0,X1,X2)
| ~ ub(X0,X1,X4) ),
inference(cnf_transformation,[],[f47]) ).
tff(f134,plain,
spl6_12,
inference(avatar_split_clause,[],[f24,f132]) ).
tff(f132,plain,
( spl6_12
<=> ! [X0: $int] : ~ $less(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_12])]) ).
tff(f24,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_147,[]) ).
tff(f130,plain,
spl6_11,
inference(avatar_split_clause,[],[f85,f128]) ).
tff(f85,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,X0)
| $less(summation(X1),summation(X0)) ),
inference(cnf_transformation,[],[f63]) ).
tff(f63,plain,
! [X0: $int,X1: $int] :
( ( ~ $less(X1,X0)
| $less(summation(X1),summation(X0)) )
& ( ~ $less(summation(X1),summation(X0))
| $less(X1,X0) ) ),
inference(nnf_transformation,[],[f13]) ).
tff(f13,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,X0)
<=> ~ $less(summation(X1),summation(X0)) ),
inference(theory_normalization,[],[f1]) ).
tff(f1,axiom,
! [X0: $int,X1: $int] :
( $lesseq(summation(X0),summation(X1))
<=> $lesseq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',summation_monotone) ).
tff(f126,plain,
spl6_10,
inference(avatar_split_clause,[],[f84,f124]) ).
tff(f84,plain,
! [X0: $int,X1: $int] :
( ~ $less(summation(X1),summation(X0))
| $less(X1,X0) ),
inference(cnf_transformation,[],[f63]) ).
tff(f122,plain,
spl6_9,
inference(avatar_split_clause,[],[f72,f120]) ).
tff(f72,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X2,X1)
| ~ ub(X0,X1,X2) ),
inference(cnf_transformation,[],[f50]) ).
tff(f118,plain,
( spl6_7
| spl6_8 ),
inference(avatar_split_clause,[],[f80,f115,f111]) ).
tff(f80,plain,
( minsol_model_max(sK3,sK5,sK4)
| minsol_model_ub(sK3,sK5,sK4) ),
inference(cnf_transformation,[],[f60]) ).
tff(f109,plain,
spl6_6,
inference(avatar_split_clause,[],[f21,f107]) ).
tff(f107,plain,
( spl6_6
<=> ! [X0: $int] : ( $sum(X0,0) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_6])]) ).
tff(f21,plain,
! [X0: $int] : ( $sum(X0,0) = X0 ),
introduced(theory_axiom_142,[]) ).
tff(f105,plain,
spl6_5,
inference(avatar_split_clause,[],[f64,f103]) ).
tff(f64,plain,
! [X2: $int,X0: $int,X1: $int,X4: $int] :
( ~ model_max(X2,X0,X4)
| ~ $less(X4,X1)
| ~ minsol_model_max(X2,X0,X1) ),
inference(cnf_transformation,[],[f43]) ).
tff(f101,plain,
spl6_4,
inference(avatar_split_clause,[],[f25,f99]) ).
tff(f25,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,X2)
| ~ $less(X1,X2) ),
introduced(theory_axiom_148,[]) ).
tff(f97,plain,
spl6_3,
inference(avatar_split_clause,[],[f23,f95]) ).
tff(f95,plain,
( spl6_3
<=> ! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_3])]) ).
tff(f23,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_145,[]) ).
tff(f93,plain,
spl6_2,
inference(avatar_split_clause,[],[f67,f91]) ).
tff(f67,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ model_max(X2,X0,X1)
| model_max(X2,X0,sK0(X0,X1,X2))
| minsol_model_max(X2,X0,X1) ),
inference(cnf_transformation,[],[f43]) ).
tff(f89,plain,
spl6_1,
inference(avatar_split_clause,[],[f78,f87]) ).
tff(f78,plain,
! [X2: $int,X0: $int,X1: $int] :
( minsol_model_ub(X0,X1,X2)
| ~ model_ub(X0,X1,X2)
| $less(sK2(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM862=1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33 % Computer : n002.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 09:18:28 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.18/0.48 % (10448)dis+2_1:1_av=off:bsr=on:erd=off:s2pl=on:sgt=16:sos=on:sp=frequency:ss=axioms:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.18/0.49 % (10440)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.49 % (10434)lrs+1010_1:1_ep=RST:s2a=on:s2at=5.0:sos=all:i=26:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/26Mi)
% 0.18/0.49 % (10432)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/32Mi)
% 0.18/0.50 % (10430)ott+1011_1:2_br=off:bs=unit_only:bsr=unit_only:nwc=5.0:s2a=on:s2agt=32:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.18/0.50 % (10431)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.18/0.50 % (10432)Refutation not found, incomplete strategy% (10432)------------------------------
% 0.18/0.50 % (10432)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (10432)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (10432)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.50
% 0.18/0.50 % (10432)Memory used [KB]: 5500
% 0.18/0.50 % (10432)Time elapsed: 0.063 s
% 0.18/0.50 % (10432)Instructions burned: 1 (million)
% 0.18/0.50 % (10432)------------------------------
% 0.18/0.50 % (10432)------------------------------
% 0.18/0.50 % (10429)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.50 % (10428)dis+1011_1:64_drc=off:flr=on:nwc=2.0:sac=on:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.18/0.50 % (10433)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=36:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/36Mi)
% 0.18/0.51 % (10429)Instruction limit reached!
% 0.18/0.51 % (10429)------------------------------
% 0.18/0.51 % (10429)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (10429)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (10429)Termination reason: Unknown
% 0.18/0.51 % (10429)Termination phase: Preprocessing 3
% 0.18/0.51
% 0.18/0.51 % (10429)Memory used [KB]: 1023
% 0.18/0.51 % (10429)Time elapsed: 0.003 s
% 0.18/0.51 % (10429)Instructions burned: 2 (million)
% 0.18/0.51 % (10429)------------------------------
% 0.18/0.51 % (10429)------------------------------
% 0.18/0.51 % (10438)lrs+10_1:1_ep=R:gve=force:plsq=on:plsqr=32,1:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.51 % (10436)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/35Mi)
% 0.18/0.51 % (10437)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.18/0.51 % (10449)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.51 % (10452)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.18/0.51 % (10445)lrs+10_1:1_sd=10:sos=all:ss=axioms:st=5.0:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.51 % (10445)Instruction limit reached!
% 0.18/0.51 % (10445)------------------------------
% 0.18/0.51 % (10445)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (10445)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (10445)Termination reason: Unknown
% 0.18/0.52 % (10445)Termination phase: SInE selection
% 0.18/0.52
% 0.18/0.52 % (10445)Memory used [KB]: 895
% 0.18/0.52 % (10445)Time elapsed: 0.002 s
% 0.18/0.52 % (10445)Instructions burned: 2 (million)
% 0.18/0.52 % (10445)------------------------------
% 0.18/0.52 % (10445)------------------------------
% 0.18/0.52 % (10437)Instruction limit reached!
% 0.18/0.52 % (10437)------------------------------
% 0.18/0.52 % (10437)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (10451)lrs+1002_1:1_br=off:canc=force:drc=off:s2a=on:sos=on:sp=reverse_frequency:urr=on:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.18/0.52 % (10444)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.18/0.52 % (10446)dis+1002_1:5_av=off:nwc=2.0:sos=all:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.18/0.52 % (10437)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (10437)Termination reason: Unknown
% 0.18/0.52 % (10437)Termination phase: Saturation
% 0.18/0.52
% 0.18/0.52 % (10437)Memory used [KB]: 5500
% 0.18/0.52 % (10437)Time elapsed: 0.125 s
% 0.18/0.52 % (10437)Instructions burned: 4 (million)
% 0.18/0.52 % (10437)------------------------------
% 0.18/0.52 % (10437)------------------------------
% 0.18/0.52 % (10435)lrs+10_1:8_ep=R:erd=off:fs=off:fsr=off:gve=force:nwc=2.0:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.52 % (10435)Instruction limit reached!
% 0.18/0.52 % (10435)------------------------------
% 0.18/0.52 % (10435)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (10435)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (10435)Termination reason: Unknown
% 0.18/0.52 % (10435)Termination phase: Saturation
% 0.18/0.52
% 0.18/0.52 % (10435)Memory used [KB]: 5500
% 0.18/0.52 % (10435)Time elapsed: 0.004 s
% 0.18/0.52 % (10435)Instructions burned: 3 (million)
% 0.18/0.52 % (10435)------------------------------
% 0.18/0.52 % (10435)------------------------------
% 0.18/0.52 % (10431)Instruction limit reached!
% 0.18/0.52 % (10431)------------------------------
% 0.18/0.52 % (10431)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (10431)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (10431)Termination reason: Unknown
% 0.18/0.52 % (10431)Termination phase: Saturation
% 0.18/0.52
% 0.18/0.52 % (10431)Memory used [KB]: 5628
% 0.18/0.52 % (10431)Time elapsed: 0.123 s
% 0.18/0.52 % (10431)Instructions burned: 16 (million)
% 0.18/0.52 % (10431)------------------------------
% 0.18/0.52 % (10431)------------------------------
% 0.18/0.52 % (10441)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.52 % (10428)Instruction limit reached!
% 0.18/0.52 % (10428)------------------------------
% 0.18/0.52 % (10428)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (10428)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (10428)Termination reason: Unknown
% 0.18/0.52 % (10428)Termination phase: Saturation
% 0.18/0.52
% 0.18/0.52 % (10428)Memory used [KB]: 5628
% 0.18/0.52 % (10428)Time elapsed: 0.112 s
% 0.18/0.52 % (10428)Instructions burned: 8 (million)
% 0.18/0.52 % (10428)------------------------------
% 0.18/0.52 % (10428)------------------------------
% 0.18/0.52 % (10426)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:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=59848:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59848Mi)
% 0.18/0.52 % (10441)Instruction limit reached!
% 0.18/0.52 % (10441)------------------------------
% 0.18/0.52 % (10441)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (10441)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (10441)Termination reason: Unknown
% 0.18/0.52 % (10441)Termination phase: SInE selection
% 0.18/0.52
% 0.18/0.52 % (10441)Memory used [KB]: 895
% 0.18/0.52 % (10441)Time elapsed: 0.006 s
% 0.18/0.52 % (10441)Instructions burned: 2 (million)
% 0.18/0.52 % (10441)------------------------------
% 0.18/0.52 % (10441)------------------------------
% 0.18/0.52 % (10454)dis+1011_1:1_bd=off:canc=force:ev=cautious:nwc=5.0:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.18/0.52 % (10453)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.18/0.53 % (10450)lrs+1_1:10_av=off:drc=off:nwc=2.0:sp=reverse_frequency:thsq=on:thsqc=64:thsql=off:i=47:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/47Mi)
% 0.18/0.53 % (10427)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.18/0.53 % (10447)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.18/0.53 % (10438)Instruction limit reached!
% 0.18/0.53 % (10438)------------------------------
% 0.18/0.53 % (10438)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53 % (10438)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53 % (10438)Termination reason: Unknown
% 0.18/0.53 % (10438)Termination phase: Saturation
% 0.18/0.53
% 0.18/0.53 % (10438)Memory used [KB]: 1023
% 0.18/0.53 % (10438)Time elapsed: 0.003 s
% 0.18/0.53 % (10438)Instructions burned: 3 (million)
% 0.18/0.53 % (10438)------------------------------
% 0.18/0.53 % (10438)------------------------------
% 0.18/0.53 % (10455)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=41:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/41Mi)
% 0.18/0.53 % (10442)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.53 % (10442)Instruction limit reached!
% 0.18/0.53 % (10442)------------------------------
% 0.18/0.53 % (10442)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53 % (10439)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.18/0.53 % (10443)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.18/0.54 % (10442)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54 % (10442)Termination reason: Unknown
% 0.18/0.54 % (10442)Termination phase: Saturation
% 0.18/0.54
% 0.18/0.54 % (10442)Memory used [KB]: 5500
% 0.18/0.54 % (10442)Time elapsed: 0.003 s
% 0.18/0.54 % (10442)Instructions burned: 3 (million)
% 0.18/0.54 % (10442)------------------------------
% 0.18/0.54 % (10442)------------------------------
% 0.18/0.54 % (10453)Instruction limit reached!
% 0.18/0.54 % (10453)------------------------------
% 0.18/0.54 % (10453)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54 % (10446)Instruction limit reached!
% 0.18/0.54 % (10446)------------------------------
% 0.18/0.54 % (10446)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54 % (10446)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54 % (10446)Termination reason: Unknown
% 0.18/0.54 % (10446)Termination phase: Saturation
% 0.18/0.54
% 0.18/0.54 % (10446)Memory used [KB]: 1151
% 0.18/0.54 % (10446)Time elapsed: 0.140 s
% 0.18/0.54 % (10446)Instructions burned: 15 (million)
% 0.18/0.54 % (10446)------------------------------
% 0.18/0.54 % (10446)------------------------------
% 0.18/0.54 % (10453)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54 % (10453)Termination reason: Unknown
% 0.18/0.54 % (10453)Termination phase: Saturation
% 0.18/0.54
% 0.18/0.54 % (10453)Memory used [KB]: 5756
% 0.18/0.54 % (10453)Time elapsed: 0.145 s
% 0.18/0.54 % (10453)Instructions burned: 21 (million)
% 0.18/0.54 % (10453)------------------------------
% 0.18/0.54 % (10453)------------------------------
% 0.18/0.54 % (10444)Instruction limit reached!
% 0.18/0.54 % (10444)------------------------------
% 0.18/0.54 % (10444)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54 % (10444)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54 % (10444)Termination reason: Unknown
% 0.18/0.54 % (10444)Termination phase: Saturation
% 0.18/0.54
% 0.18/0.54 % (10444)Memory used [KB]: 5756
% 0.18/0.54 % (10444)Time elapsed: 0.139 s
% 0.18/0.54 % (10444)Instructions burned: 15 (million)
% 0.18/0.54 % (10444)------------------------------
% 0.18/0.54 % (10444)------------------------------
% 0.18/0.55 % (10430)Instruction limit reached!
% 0.18/0.55 % (10430)------------------------------
% 0.18/0.55 % (10430)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55 % (10454)Instruction limit reached!
% 0.18/0.55 % (10454)------------------------------
% 0.18/0.55 % (10454)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55 % (10454)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55 % (10454)Termination reason: Unknown
% 0.18/0.55 % (10454)Termination phase: Saturation
% 0.18/0.55
% 0.18/0.55 % (10454)Memory used [KB]: 5756
% 0.18/0.55 % (10454)Time elapsed: 0.138 s
% 0.18/0.55 % (10454)Instructions burned: 22 (million)
% 0.18/0.55 % (10454)------------------------------
% 0.18/0.55 % (10454)------------------------------
% 0.18/0.55 % (10430)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55 % (10430)Termination reason: Unknown
% 0.18/0.55 % (10430)Termination phase: Saturation
% 0.18/0.55
% 0.18/0.55 % (10430)Memory used [KB]: 6012
% 0.18/0.55 % (10430)Time elapsed: 0.140 s
% 0.18/0.55 % (10430)Instructions burned: 37 (million)
% 0.18/0.55 % (10430)------------------------------
% 0.18/0.55 % (10430)------------------------------
% 0.18/0.55 % (10433)Instruction limit reached!
% 0.18/0.55 % (10433)------------------------------
% 0.18/0.55 % (10433)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55 % (10447)Instruction limit reached!
% 0.18/0.55 % (10447)------------------------------
% 0.18/0.55 % (10447)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55 % (10447)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55 % (10447)Termination reason: Unknown
% 0.18/0.55 % (10447)Termination phase: Saturation
% 0.18/0.55
% 0.18/0.55 % (10447)Memory used [KB]: 5756
% 0.18/0.55 % (10447)Time elapsed: 0.152 s
% 0.18/0.55 % (10447)Instructions burned: 21 (million)
% 0.18/0.55 % (10447)------------------------------
% 0.18/0.55 % (10447)------------------------------
% 0.18/0.56 % (10439)Instruction limit reached!
% 0.18/0.56 % (10439)------------------------------
% 0.18/0.56 % (10439)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.56 % (10439)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.56 % (10439)Termination reason: Unknown
% 0.18/0.56 % (10439)Termination phase: Saturation
% 0.18/0.56
% 0.18/0.56 % (10439)Memory used [KB]: 5756
% 0.18/0.56 % (10439)Time elapsed: 0.154 s
% 0.18/0.56 % (10439)Instructions burned: 22 (million)
% 0.18/0.56 % (10439)------------------------------
% 0.18/0.56 % (10439)------------------------------
% 0.18/0.56 % (10434)Refutation not found, non-redundant clauses discarded% (10434)------------------------------
% 0.18/0.56 % (10434)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.56 % (10434)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.56 % (10434)Termination reason: Refutation not found, non-redundant clauses discarded
% 0.18/0.56
% 0.18/0.56 % (10434)Memory used [KB]: 5884
% 0.18/0.56 % (10434)Time elapsed: 0.173 s
% 0.18/0.56 % (10434)Instructions burned: 25 (million)
% 0.18/0.56 % (10434)------------------------------
% 0.18/0.56 % (10434)------------------------------
% 0.18/0.56 % (10433)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.56 % (10433)Termination reason: Unknown
% 0.18/0.56 % (10433)Termination phase: Saturation
% 0.18/0.56
% 0.18/0.56 % (10433)Memory used [KB]: 5884
% 0.18/0.56 % (10433)Time elapsed: 0.147 s
% 0.18/0.56 % (10433)Instructions burned: 37 (million)
% 0.18/0.56 % (10433)------------------------------
% 0.18/0.56 % (10433)------------------------------
% 0.18/0.56 % (10448)Instruction limit reached!
% 0.18/0.56 % (10448)------------------------------
% 0.18/0.56 % (10448)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.56 % (10448)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.56 % (10448)Termination reason: Unknown
% 0.18/0.56 % (10448)Termination phase: Saturation
% 0.18/0.56
% 0.18/0.56 % (10448)Memory used [KB]: 1407
% 0.18/0.56 % (10448)Time elapsed: 0.128 s
% 0.18/0.56 % (10448)Instructions burned: 47 (million)
% 0.18/0.56 % (10448)------------------------------
% 0.18/0.56 % (10448)------------------------------
% 0.18/0.57 % (10440)Instruction limit reached!
% 0.18/0.57 % (10440)------------------------------
% 0.18/0.57 % (10440)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.57 % (10440)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.57 % (10440)Termination reason: Unknown
% 0.18/0.57 % (10440)Termination phase: Saturation
% 0.18/0.57
% 0.18/0.57 % (10440)Memory used [KB]: 6652
% 0.18/0.57 % (10440)Time elapsed: 0.121 s
% 0.18/0.57 % (10440)Instructions burned: 52 (million)
% 0.18/0.57 % (10440)------------------------------
% 0.18/0.57 % (10440)------------------------------
% 0.18/0.58 % (10451)Instruction limit reached!
% 0.18/0.58 % (10451)------------------------------
% 0.18/0.58 % (10451)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.58 % (10451)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.58 % (10451)Termination reason: Unknown
% 0.18/0.58 % (10451)Termination phase: Saturation
% 0.18/0.58
% 0.18/0.58 % (10451)Memory used [KB]: 5884
% 0.18/0.58 % (10451)Time elapsed: 0.187 s
% 0.18/0.58 % (10451)Instructions burned: 42 (million)
% 0.18/0.58 % (10451)------------------------------
% 0.18/0.58 % (10451)------------------------------
% 0.18/0.58 % (10436)Instruction limit reached!
% 0.18/0.58 % (10436)------------------------------
% 0.18/0.58 % (10436)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.58 % (10436)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.58 % (10436)Termination reason: Unknown
% 0.18/0.58 % (10436)Termination phase: Saturation
% 0.18/0.58
% 0.18/0.58 % (10436)Memory used [KB]: 5884
% 0.18/0.58 % (10436)Time elapsed: 0.195 s
% 0.18/0.58 % (10436)Instructions burned: 36 (million)
% 0.18/0.58 % (10436)------------------------------
% 0.18/0.58 % (10436)------------------------------
% 1.84/0.58 % (10452)Instruction limit reached!
% 1.84/0.58 % (10452)------------------------------
% 1.84/0.58 % (10452)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.58 % (10452)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.58 % (10452)Termination reason: Unknown
% 1.84/0.58 % (10452)Termination phase: Saturation
% 1.84/0.58
% 1.84/0.58 % (10452)Memory used [KB]: 6012
% 1.84/0.58 % (10452)Time elapsed: 0.158 s
% 1.84/0.58 % (10452)Instructions burned: 43 (million)
% 1.84/0.58 % (10452)------------------------------
% 1.84/0.58 % (10452)------------------------------
% 1.84/0.58 % (10449)Instruction limit reached!
% 1.84/0.58 % (10449)------------------------------
% 1.84/0.58 % (10449)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.59 % (10449)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.59 % (10449)Termination reason: Unknown
% 1.84/0.59 % (10449)Termination phase: Saturation
% 1.84/0.59
% 1.84/0.59 % (10449)Memory used [KB]: 6012
% 1.84/0.59 % (10449)Time elapsed: 0.182 s
% 1.84/0.59 % (10449)Instructions burned: 50 (million)
% 1.84/0.59 % (10449)------------------------------
% 1.84/0.59 % (10449)------------------------------
% 1.84/0.59 % (10455)Instruction limit reached!
% 1.84/0.59 % (10455)------------------------------
% 1.84/0.59 % (10455)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.59 % (10455)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.59 % (10455)Termination reason: Unknown
% 1.84/0.59 % (10455)Termination phase: Saturation
% 1.84/0.59
% 1.84/0.59 % (10455)Memory used [KB]: 6268
% 1.84/0.59 % (10455)Time elapsed: 0.183 s
% 1.84/0.59 % (10455)Instructions burned: 41 (million)
% 1.84/0.59 % (10455)------------------------------
% 1.84/0.59 % (10455)------------------------------
% 1.84/0.59 % (10427)Instruction limit reached!
% 1.84/0.59 % (10427)------------------------------
% 1.84/0.59 % (10427)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.59 % (10427)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.59 % (10427)Termination reason: Unknown
% 1.84/0.59 % (10427)Termination phase: Saturation
% 1.84/0.59
% 1.84/0.59 % (10427)Memory used [KB]: 5884
% 1.84/0.59 % (10427)Time elapsed: 0.197 s
% 1.84/0.59 % (10427)Instructions burned: 34 (million)
% 1.84/0.59 % (10427)------------------------------
% 1.84/0.59 % (10427)------------------------------
% 2.19/0.63 % (10443)Instruction limit reached!
% 2.19/0.63 % (10443)------------------------------
% 2.19/0.63 % (10443)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.19/0.63 % (10443)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.19/0.63 % (10443)Termination reason: Unknown
% 2.19/0.63 % (10443)Termination phase: Saturation
% 2.19/0.63
% 2.19/0.63 % (10443)Memory used [KB]: 6268
% 2.19/0.63 % (10443)Time elapsed: 0.222 s
% 2.19/0.63 % (10443)Instructions burned: 49 (million)
% 2.19/0.63 % (10443)------------------------------
% 2.19/0.63 % (10443)------------------------------
% 2.19/0.63 % (10450)Instruction limit reached!
% 2.19/0.63 % (10450)------------------------------
% 2.19/0.63 % (10450)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.19/0.63 % (10450)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.19/0.63 % (10450)Termination reason: Unknown
% 2.19/0.63 % (10450)Termination phase: Saturation
% 2.19/0.63
% 2.19/0.63 % (10450)Memory used [KB]: 1663
% 2.19/0.63 % (10450)Time elapsed: 0.232 s
% 2.19/0.63 % (10450)Instructions burned: 48 (million)
% 2.19/0.63 % (10450)------------------------------
% 2.19/0.63 % (10450)------------------------------
% 2.19/0.63 % (10456)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/15Mi)
% 2.19/0.64 % (10457)lrs+1_1:1_aac=none:acc=on:add=large:bd=off:bs=unit_only:bsr=on:cond=on:nm=0:sac=on:sd=3:sos=on:ss=axioms:st=2.0:i=47:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/47Mi)
% 2.19/0.64 % (10458)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/25Mi)
% 2.19/0.64 % (10462)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=58:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/58Mi)
% 2.19/0.65 % (10461)ott+21_1:1_bd=off:bsr=unit_only:drc=off:fd=preordered:fsr=off:nwc=3.0:sac=on:to=lpo:urr=on:i=76:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/76Mi)
% 2.19/0.65 % (10459)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=148:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/148Mi)
% 2.19/0.66 % (10466)lrs+1011_4:1_abs=on:afp=20:amm=off:anc=all:bd=off:br=off:canc=force:s2a=on:sas=z3:slsq=on:urr=on:i=494:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/494Mi)
% 2.19/0.66 % (10456)Instruction limit reached!
% 2.19/0.66 % (10456)------------------------------
% 2.19/0.66 % (10456)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.19/0.66 % (10456)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.19/0.66 % (10456)Termination reason: Unknown
% 2.19/0.66 % (10456)Termination phase: Saturation
% 2.19/0.66
% 2.19/0.66 % (10456)Memory used [KB]: 5756
% 2.19/0.66 % (10456)Time elapsed: 0.111 s
% 2.19/0.66 % (10456)Instructions burned: 15 (million)
% 2.19/0.66 % (10456)------------------------------
% 2.19/0.66 % (10456)------------------------------
% 2.19/0.66 % (10460)lrs+10_1:1_acc=model:br=off:ins=1:newcnf=on:nwc=5.0:s2a=on:sac=on:sp=frequency:to=lpo:urr=on:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 2.19/0.66 % (10464)lrs+10_1:3_add=large:afr=on:anc=all_dependent:avsq=on:avsqr=21,226:awrs=decay:awrsf=47:br=off:bsd=on:canc=cautious:cond=fast:fd=preordered:fsd=on:fsr=off:gs=on:gve=force:ins=1:lma=on:s2agt=4:s2at=1.9:sas=z3:slsq=on:slsqc=1:slsqr=13,121:sp=reverse_arity:tha=some:to=lpo:uace=off:uhcvi=on:updr=off:urr=ec_only:i=108:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/108Mi)
% 2.19/0.67 % (10467)lrs+10_1:1_newcnf=on:sas=z3:tgt=ground:tha=off:i=223:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/223Mi)
% 2.19/0.67 % (10463)lrs+10_1:1_thi=all:thigen=on:i=96:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/96Mi)
% 2.19/0.67 % (10465)lrs+10_1:1_plsq=on:plsqc=1:plsqr=32,1:tha=off:thi=overlap:i=463:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/463Mi)
% 2.19/0.68 % (10470)lrs+1010_5:1_aer=off:norm_ineq=on:sas=z3:sos=all:ss=axioms:tha=off:i=150:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/150Mi)
% 2.19/0.68 % (10468)lrs+1002_1:1_av=off:br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=343:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/343Mi)
% 2.19/0.68 % (10469)lrs+1011_1:1_br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=488:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/488Mi)
% 2.19/0.69 % (10471)lrs+1011_1:1_br=off:fde=none:norm_ineq=on:nwc=10.0:sas=z3:slsq=on:slsqc=2:slsql=off:slsqr=1,4:sp=reverse_frequency:i=160:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/160Mi)
% 2.19/0.69 % (10474)dis+10_1:1_aac=none:abs=on:bce=on:bd=off:bsr=unit_only:drc=off:fd=preordered:fsd=on:gve=cautious:lcm=reverse:nm=16:plsq=on:plsqc=1:plsqr=232,15:sfv=off:slsq=on:slsql=off:slsqr=3,2:sos=on:sp=weighted_frequency:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/81Mi)
% 2.19/0.70 % (10458)Instruction limit reached!
% 2.19/0.70 % (10458)------------------------------
% 2.19/0.70 % (10458)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.19/0.70 % (10458)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.19/0.70 % (10458)Termination reason: Unknown
% 2.19/0.70 % (10458)Termination phase: Saturation
% 2.19/0.70
% 2.19/0.70 % (10458)Memory used [KB]: 5756
% 2.19/0.70 % (10458)Time elapsed: 0.129 s
% 2.19/0.70 % (10458)Instructions burned: 26 (million)
% 2.19/0.70 % (10458)------------------------------
% 2.19/0.70 % (10458)------------------------------
% 2.19/0.70 % (10472)dis+10_1:1_bd=off:fde=unused:gsp=on:ins=1:norm_ineq=on:sas=z3:sos=all:tha=off:i=370:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/370Mi)
% 2.19/0.70 % (10475)lrs+10_1:1_amm=sco:norm_ineq=on:nwc=3.0:plsq=on:plsqc=2:plsqr=32,1:sas=z3:sp=const_min:tha=off:to=lpo:i=146:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/146Mi)
% 2.19/0.70 % (10473)lrs+1010_5:1_norm_ineq=on:sas=z3:sos=all:ss=axioms:tha=off:i=493:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/493Mi)
% 2.19/0.70 % (10468)Refutation not found, incomplete strategy% (10468)------------------------------
% 2.19/0.70 % (10468)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.19/0.70 % (10468)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.19/0.70 % (10468)Termination reason: Refutation not found, incomplete strategy
% 2.19/0.70
% 2.19/0.70 % (10468)Memory used [KB]: 1023
% 2.19/0.70 % (10468)Time elapsed: 0.111 s
% 2.19/0.70 % (10468)Instructions burned: 3 (million)
% 2.19/0.70 % (10468)------------------------------
% 2.19/0.70 % (10468)------------------------------
% 2.19/0.70 % (10476)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 2.19/0.70 % (10469)Refutation not found, incomplete strategy% (10469)------------------------------
% 2.19/0.70 % (10469)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.19/0.70 % (10469)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.19/0.70 % (10469)Termination reason: Refutation not found, incomplete strategy
% 2.19/0.70
% 2.19/0.70 % (10469)Memory used [KB]: 5500
% 2.19/0.70 % (10469)Time elapsed: 0.105 s
% 2.19/0.70 % (10469)Instructions burned: 3 (million)
% 2.19/0.70 % (10469)------------------------------
% 2.19/0.70 % (10469)------------------------------
% 2.19/0.71 % (10479)lrs+11_1:1_erd=off:fs=off:fsr=off:norm_ineq=on:nwc=10.0:s2a=on:s2at=3.0:sas=z3:tha=some:i=294:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/294Mi)
% 2.19/0.71 % (10477)dis+1010_1:1_s2a=on:sp=frequency:to=lpo:i=274:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/274Mi)
% 2.19/0.71 % (10474)Refutation not found, incomplete strategy% (10474)------------------------------
% 2.19/0.71 % (10474)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.19/0.71 % (10474)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.19/0.71 % (10474)Termination reason: Refutation not found, incomplete strategy
% 2.19/0.71
% 2.19/0.71 % (10474)Memory used [KB]: 5500
% 2.19/0.71 % (10474)Time elapsed: 0.121 s
% 2.19/0.71 % (10474)Instructions burned: 3 (million)
% 2.19/0.71 % (10474)------------------------------
% 2.19/0.71 % (10474)------------------------------
% 2.19/0.71 % (10480)lrs+30_1:64_flr=on:sp=frequency:to=lpo:i=213:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/213Mi)
% 2.19/0.72 % (10478)lrs+1002_1:1_nm=0:sd=1:ss=axioms:urr=ec_only:i=330:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/330Mi)
% 2.19/0.72 % (10481)dis+1002_1:1_aac=none:abs=on:nicw=on:sac=on:sas=z3:tgt=ground:tha=some:to=lpo:i=374:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/374Mi)
% 2.19/0.72 % (10457)Instruction limit reached!
% 2.19/0.72 % (10457)------------------------------
% 2.19/0.72 % (10457)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.19/0.72 % (10457)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.19/0.72 % (10457)Termination reason: Unknown
% 2.19/0.72 % (10457)Termination phase: Saturation
% 2.19/0.72
% 2.19/0.72 % (10457)Memory used [KB]: 6140
% 2.19/0.72 % (10457)Time elapsed: 0.180 s
% 2.19/0.72 % (10457)Instructions burned: 47 (million)
% 2.19/0.72 % (10457)------------------------------
% 2.19/0.72 % (10457)------------------------------
% 2.74/0.73 % (10462)Instruction limit reached!
% 2.74/0.73 % (10462)------------------------------
% 2.74/0.73 % (10462)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.74/0.73 % (10462)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.74/0.73 % (10462)Termination reason: Unknown
% 2.74/0.73 % (10462)Termination phase: Saturation
% 2.74/0.73
% 2.74/0.73 % (10462)Memory used [KB]: 6908
% 2.74/0.73 % (10462)Time elapsed: 0.119 s
% 2.74/0.73 % (10462)Instructions burned: 58 (million)
% 2.74/0.73 % (10462)------------------------------
% 2.74/0.73 % (10462)------------------------------
% 2.74/0.74 % (10478)Refutation not found, incomplete strategy% (10478)------------------------------
% 2.74/0.74 % (10478)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.74/0.74 % (10478)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.74/0.74 % (10478)Termination reason: Refutation not found, incomplete strategy
% 2.74/0.74
% 2.74/0.74 % (10478)Memory used [KB]: 5500
% 2.74/0.74 % (10478)Time elapsed: 0.137 s
% 2.74/0.74 % (10478)Instructions burned: 2 (million)
% 2.74/0.74 % (10478)------------------------------
% 2.74/0.74 % (10478)------------------------------
% 2.74/0.74 % (10482)ins+10_1:32_fd=off:fs=off:fsr=off:igrr=4/7:igwr=on:urr=ec_only:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/500Mi)
% 2.74/0.76 % (10484)lrs+10_1:1_abs=on:ev=cautious:nwc=10.0:s2a=on:sas=z3:tha=off:thi=all:thigen=on:i=230:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/230Mi)
% 2.74/0.76 % (10483)lrs+1011_1:1_br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=488:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/488Mi)
% 2.74/0.79 % (10483)Refutation not found, incomplete strategy% (10483)------------------------------
% 2.74/0.79 % (10483)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.74/0.79 % (10483)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.74/0.79 % (10483)Termination reason: Refutation not found, incomplete strategy
% 2.74/0.79
% 2.74/0.79 % (10483)Memory used [KB]: 5500
% 2.74/0.79 % (10483)Time elapsed: 0.115 s
% 2.74/0.79 % (10483)Instructions burned: 3 (million)
% 2.74/0.79 % (10483)------------------------------
% 2.74/0.79 % (10483)------------------------------
% 3.12/0.80 % (10464)Refutation not found, incomplete strategy% (10464)------------------------------
% 3.12/0.80 % (10464)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.12/0.80 % (10464)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.12/0.80 % (10464)Termination reason: Refutation not found, incomplete strategy
% 3.12/0.80
% 3.12/0.80 % (10464)Memory used [KB]: 5628
% 3.12/0.80 % (10464)Time elapsed: 0.221 s
% 3.12/0.80 % (10464)Instructions burned: 104 (million)
% 3.12/0.80 % (10464)------------------------------
% 3.12/0.80 % (10464)------------------------------
% 3.12/0.80 % (10485)lrs+1010_1:1_bsr=unit_only:cond=on:flr=on:newcnf=on:nwc=10.0:sas=z3:to=lpo:i=360:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/360Mi)
% 3.12/0.80 % (10461)Instruction limit reached!
% 3.12/0.80 % (10461)------------------------------
% 3.12/0.80 % (10461)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.12/0.80 % (10461)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.12/0.80 % (10461)Termination reason: Unknown
% 3.12/0.80 % (10461)Termination phase: Saturation
% 3.12/0.80
% 3.12/0.80 % (10461)Memory used [KB]: 6652
% 3.12/0.80 % (10461)Time elapsed: 0.221 s
% 3.12/0.80 % (10461)Instructions burned: 78 (million)
% 3.12/0.80 % (10461)------------------------------
% 3.12/0.80 % (10461)------------------------------
% 3.12/0.82 % (10486)dis+31_1:1_lcm=reverse:norm_ineq=on:nwc=10.0:sas=z3:tha=off:urr=on:i=382:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/382Mi)
% 3.12/0.83 % (10463)Instruction limit reached!
% 3.12/0.83 % (10463)------------------------------
% 3.12/0.83 % (10463)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.12/0.83 % (10463)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.12/0.83 % (10463)Termination reason: Unknown
% 3.12/0.83 % (10463)Termination phase: Saturation
% 3.12/0.83
% 3.12/0.83 % (10463)Memory used [KB]: 5628
% 3.12/0.83 % (10463)Time elapsed: 0.246 s
% 3.12/0.83 % (10463)Instructions burned: 97 (million)
% 3.12/0.83 % (10463)------------------------------
% 3.12/0.83 % (10463)------------------------------
% 3.12/0.84 % (10487)lrs+10_1:1_av=off:fde=none:lwlo=on:nwc=10.0:i=256:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/256Mi)
% 3.12/0.84 % (10488)dis+10_1:1_sgt=16:sos=on:spb=goal:ss=axioms:i=1006:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/1006Mi)
% 3.12/0.84 % (10473)Refutation not found, incomplete strategy% (10473)------------------------------
% 3.12/0.84 % (10473)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.12/0.84 % (10473)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.12/0.84 % (10473)Termination reason: Refutation not found, incomplete strategy
% 3.12/0.84
% 3.12/0.84 % (10473)Memory used [KB]: 1023
% 3.12/0.84 % (10473)Time elapsed: 0.253 s
% 3.12/0.84 % (10473)Instructions burned: 106 (million)
% 3.12/0.84 % (10473)------------------------------
% 3.12/0.84 % (10473)------------------------------
% 3.12/0.84 % (10470)Refutation not found, incomplete strategy% (10470)------------------------------
% 3.12/0.84 % (10470)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.12/0.84 % (10470)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.12/0.84 % (10470)Termination reason: Refutation not found, incomplete strategy
% 3.12/0.84
% 3.12/0.84 % (10470)Memory used [KB]: 1023
% 3.12/0.84 % (10470)Time elapsed: 0.238 s
% 3.12/0.84 % (10470)Instructions burned: 110 (million)
% 3.12/0.84 % (10470)------------------------------
% 3.12/0.84 % (10470)------------------------------
% 3.12/0.85 % (10489)dis+1004_1:3_av=off:bs=on:plsq=on:i=3721:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/3721Mi)
% 3.12/0.86 % (10490)ott+10_1:1_bd=preordered:drc=off:fd=preordered:nwc=5.0:sp=reverse_frequency:i=501:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/501Mi)
% 3.12/0.87 % (10492)lrs+10_1:1_av=off:sd=10:sos=all:ss=axioms:st=4.0:i=2416:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2416Mi)
% 3.40/0.87 % (10460)Instruction limit reached!
% 3.40/0.87 % (10460)------------------------------
% 3.40/0.87 % (10460)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.40/0.87 % (10460)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.40/0.87 % (10460)Termination reason: Unknown
% 3.40/0.87 % (10460)Termination phase: Saturation
% 3.40/0.87
% 3.40/0.87 % (10460)Memory used [KB]: 6780
% 3.40/0.87 % (10460)Time elapsed: 0.301 s
% 3.40/0.87 % (10460)Instructions burned: 101 (million)
% 3.40/0.87 % (10460)------------------------------
% 3.40/0.87 % (10460)------------------------------
% 3.40/0.87 % (10491)ott+1011_1:1_anc=all:avsq=on:avsqc=1:bsr=unit_only:drc=off:erd=off:fs=off:fsr=off:nwc=3.0:s2a=on:s2at=1.5:sac=on:urr=on:i=1705:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/1705Mi)
% 3.40/0.88 % (10459)Instruction limit reached!
% 3.40/0.88 % (10459)------------------------------
% 3.40/0.88 % (10459)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.40/0.88 % (10459)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.40/0.89 % (10459)Termination reason: Unknown
% 3.40/0.89 % (10459)Termination phase: Saturation
% 3.40/0.89
% 3.40/0.89 % (10459)Memory used [KB]: 6652
% 3.40/0.89 % (10459)Time elapsed: 0.278 s
% 3.40/0.89 % (10459)Instructions burned: 149 (million)
% 3.40/0.89 % (10459)------------------------------
% 3.40/0.89 % (10459)------------------------------
% 3.40/0.89 % (10475)Instruction limit reached!
% 3.40/0.89 % (10475)------------------------------
% 3.40/0.89 % (10475)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.40/0.90 % (10475)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.40/0.90 % (10475)Termination reason: Unknown
% 3.40/0.90 % (10475)Termination phase: Saturation
% 3.40/0.90
% 3.40/0.90 % (10475)Memory used [KB]: 1407
% 3.40/0.90 % (10475)Time elapsed: 0.295 s
% 3.40/0.90 % (10475)Instructions burned: 146 (million)
% 3.40/0.90 % (10475)------------------------------
% 3.40/0.90 % (10475)------------------------------
% 3.40/0.90 % (10471)Refutation not found, non-redundant clauses discarded% (10471)------------------------------
% 3.40/0.90 % (10471)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.40/0.92 % (10493)dis+10_1:64_s2a=on:s2agt=16:slsq=on:slsqc=1:slsqr=1,1:i=1683:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/1683Mi)
% 3.40/0.92 % (10471)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.40/0.92 % (10471)Termination reason: Refutation not found, non-redundant clauses discarded
% 3.40/0.92
% 3.40/0.93 % (10471)Memory used [KB]: 1918
% 3.40/0.93 % (10471)Time elapsed: 0.326 s
% 3.40/0.93 % (10471)Instructions burned: 155 (million)
% 3.40/0.93 % (10471)------------------------------
% 3.40/0.93 % (10471)------------------------------
% 3.40/0.94 % (10494)dis+1011_1:1_av=off:fsr=off:nm=6:plsq=on:s2a=on:s2at=3.0:slsq=on:slsqc=0:slsqr=1,8:sp=frequency:to=lpo:i=330:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/330Mi)
% 3.40/0.96 % (10495)lrs+10_1:1_afp=1:sac=on:sas=z3:tha=off:i=113:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/113Mi)
% 3.40/0.96 % (10496)lrs+10_1:1_ep=RS:fsr=off:sos=all:i=3217:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/3217Mi)
% 3.62/0.97 % (10497)ott+10_6715:511922_awrs=decay:awrsf=1:bd=preordered:bs=on:drc=off:fd=preordered:nwc=5.0:sp=frequency:spb=goal_then_units:uwa=interpreted_only:i=3528:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/3528Mi)
% 3.62/0.99 % (10467)Instruction limit reached!
% 3.62/0.99 % (10467)------------------------------
% 3.62/0.99 % (10467)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.62/0.99 % (10480)Instruction limit reached!
% 3.62/0.99 % (10480)------------------------------
% 3.62/0.99 % (10480)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.62/0.99 % (10480)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.62/0.99 % (10480)Termination reason: Unknown
% 3.62/0.99 % (10480)Termination phase: Saturation
% 3.62/0.99
% 3.62/0.99 % (10480)Memory used [KB]: 7164
% 3.62/0.99 % (10480)Time elapsed: 0.303 s
% 3.62/0.99 % (10480)Instructions burned: 213 (million)
% 3.62/0.99 % (10480)------------------------------
% 3.62/0.99 % (10480)------------------------------
% 3.86/1.00 % (10498)lrs+1011_1:6_aac=none:afr=on:bce=on:bsr=unit_only:canc=cautious:cond=fast:fde=unused:newcnf=on:nwc=3.0:s2a=on:s2agt=40:sas=z3:sfv=off:sp=weighted_frequency:spb=units:tha=off:to=lpo:i=2304:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2304Mi)
% 3.86/1.01 % (10467)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.86/1.01 % (10467)Termination reason: Unknown
% 3.86/1.01 % (10467)Termination phase: Saturation
% 3.86/1.01
% 3.86/1.01 % (10467)Memory used [KB]: 2046
% 3.86/1.01 % (10467)Time elapsed: 0.410 s
% 3.86/1.01 % (10467)Instructions burned: 223 (million)
% 3.86/1.01 % (10467)------------------------------
% 3.86/1.01 % (10467)------------------------------
% 3.86/1.01 % (10499)dis+1011_1:1_abs=on:bd=off:flr=on:nm=0:s2at=3.0:sas=z3:sfv=off:slsq=on:slsqc=2:slsqr=46,31:sp=const_frequency:tgt=ground:tha=some:thi=overlap:thitd=on:thsq=on:thsqc=32:thsqd=32:thsqr=7,4:i=3780:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/3780Mi)
% 3.88/1.02 % (10500)lrs+10_1:32_newcnf=on:sas=z3:tgt=ground:tha=off:i=238:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/238Mi)
% 3.88/1.04 % (10501)dis+1002_1:1_aac=none:abs=on:nicw=on:sac=on:sas=z3:tgt=ground:tha=some:to=lpo:i=656:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/656Mi)
% 3.88/1.06 % (10502)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:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=485:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/485Mi)
% 3.88/1.08 % (10476)Instruction limit reached!
% 3.88/1.08 % (10476)------------------------------
% 3.88/1.08 % (10476)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.88/1.08 % (10476)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.88/1.08 % (10476)Termination reason: Unknown
% 3.88/1.08 % (10476)Termination phase: Saturation
% 3.88/1.08
% 3.88/1.08 % (10476)Memory used [KB]: 7931
% 3.88/1.08 % (10476)Time elapsed: 0.489 s
% 3.88/1.08 % (10476)Instructions burned: 212 (million)
% 3.88/1.08 % (10476)------------------------------
% 3.88/1.08 % (10476)------------------------------
% 3.88/1.08 % (10484)Instruction limit reached!
% 3.88/1.08 % (10484)------------------------------
% 3.88/1.08 % (10484)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.88/1.08 % (10484)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.88/1.08 % (10484)Termination reason: Unknown
% 3.88/1.08 % (10484)Termination phase: Saturation
% 3.88/1.08
% 3.88/1.08 % (10484)Memory used [KB]: 1535
% 3.88/1.08 % (10484)Time elapsed: 0.398 s
% 3.88/1.08 % (10484)Instructions burned: 232 (million)
% 3.88/1.08 % (10484)------------------------------
% 3.88/1.08 % (10484)------------------------------
% 3.88/1.12 % (10495)Instruction limit reached!
% 3.88/1.12 % (10495)------------------------------
% 3.88/1.12 % (10495)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.88/1.12 % (10495)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.88/1.12 % (10495)Termination reason: Unknown
% 3.88/1.12 % (10495)Termination phase: Saturation
% 3.88/1.12
% 3.88/1.12 % (10495)Memory used [KB]: 1151
% 3.88/1.12 % (10495)Time elapsed: 0.267 s
% 3.88/1.12 % (10495)Instructions burned: 114 (million)
% 3.88/1.12 % (10495)------------------------------
% 3.88/1.12 % (10495)------------------------------
% 4.21/1.13 % (10503)lrs+1010_1:1_aac=none:abs=on:bd=off:fd=off:nm=0:sas=z3:sims=off:tha=off:to=lpo:i=1302:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/1302Mi)
% 4.21/1.14 % (10479)Instruction limit reached!
% 4.21/1.14 % (10479)------------------------------
% 4.21/1.14 % (10479)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.21/1.14 % (10479)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.21/1.14 % (10479)Termination reason: Unknown
% 4.21/1.14 % (10479)Termination phase: Saturation
% 4.21/1.14
% 4.21/1.15 % (10479)Memory used [KB]: 2686
% 4.21/1.15 % (10479)Time elapsed: 0.540 s
% 4.21/1.15 % (10479)Instructions burned: 296 (million)
% 4.21/1.15 % (10479)------------------------------
% 4.21/1.15 % (10479)------------------------------
% 4.21/1.15 % (10504)lrs+1011_4:1_abs=on:afp=20:amm=off:anc=all:bd=off:br=off:canc=force:s2a=on:sas=z3:slsq=on:urr=on:i=980:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/980Mi)
% 4.21/1.16 % (10477)Instruction limit reached!
% 4.21/1.16 % (10477)------------------------------
% 4.21/1.16 % (10477)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.21/1.16 % (10477)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.21/1.16 % (10477)Termination reason: Unknown
% 4.21/1.16 % (10477)Termination phase: Saturation
% 4.21/1.16
% 4.21/1.16 % (10477)Memory used [KB]: 8059
% 4.21/1.16 % (10477)Time elapsed: 0.558 s
% 4.21/1.16 % (10477)Instructions burned: 276 (million)
% 4.21/1.16 % (10477)------------------------------
% 4.21/1.16 % (10477)------------------------------
% 4.58/1.21 % (10472)Instruction limit reached!
% 4.58/1.21 % (10472)------------------------------
% 4.58/1.21 % (10472)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.58/1.21 % (10472)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.58/1.21 % (10472)Termination reason: Unknown
% 4.58/1.21 % (10472)Termination phase: Saturation
% 4.58/1.21
% 4.58/1.21 % (10472)Memory used [KB]: 2174
% 4.58/1.21 % (10472)Time elapsed: 0.602 s
% 4.58/1.21 % (10472)Instructions burned: 370 (million)
% 4.58/1.21 % (10472)------------------------------
% 4.58/1.21 % (10472)------------------------------
% 4.58/1.21 % (10505)ins+10_1:32_fd=off:fs=off:fsr=off:igrr=4/7:igwr=on:urr=ec_only:i=591:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/591Mi)
% 4.58/1.22 % (10506)lrs+1011_1:1_br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=638:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/638Mi)
% 4.58/1.22 % (10506)Refutation not found, incomplete strategy% (10506)------------------------------
% 4.58/1.22 % (10506)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.58/1.22 % (10506)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.58/1.22 % (10506)Termination reason: Refutation not found, incomplete strategy
% 4.58/1.22
% 4.58/1.22 % (10506)Memory used [KB]: 5500
% 4.58/1.22 % (10506)Time elapsed: 0.109 s
% 4.58/1.22 % (10506)Instructions burned: 3 (million)
% 4.58/1.22 % (10506)------------------------------
% 4.58/1.22 % (10506)------------------------------
% 4.58/1.25 % (10487)Instruction limit reached!
% 4.58/1.25 % (10487)------------------------------
% 4.58/1.25 % (10487)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.58/1.25 % (10487)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.58/1.25 % (10487)Termination reason: Unknown
% 4.58/1.25 % (10487)Termination phase: Saturation
% 4.58/1.25
% 4.58/1.25 % (10487)Memory used [KB]: 3070
% 4.58/1.25 % (10487)Time elapsed: 0.514 s
% 4.58/1.25 % (10487)Instructions burned: 256 (million)
% 4.58/1.25 % (10487)------------------------------
% 4.58/1.25 % (10487)------------------------------
% 4.58/1.25 % (10507)dis+1010_137062:920759_aac=none:abs=on:amm=sco:anc=none:asg=cautious:atotf=0.5:avsq=on:avsqc=2:avsqr=383,440:bce=on:bsd=on:erd=off:fde=unused:gs=on:gve=cautious:newcnf=on:nwc=3.3:sac=on:sas=z3:sfv=off:skr=on:spb=goal:tgt=ground:thsq=on:thsqc=128:thsql=off:uwa=all:i=947:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/947Mi)
% 4.58/1.26 % (10481)Instruction limit reached!
% 4.58/1.26 % (10481)------------------------------
% 4.58/1.26 % (10481)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.58/1.26 % (10481)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.58/1.26 % (10481)Termination reason: Unknown
% 4.58/1.26 % (10481)Termination phase: Saturation
% 4.58/1.26
% 4.58/1.26 % (10481)Memory used [KB]: 2558
% 4.58/1.26 % (10481)Time elapsed: 0.633 s
% 4.58/1.26 % (10481)Instructions burned: 376 (million)
% 4.58/1.26 % (10481)------------------------------
% 4.58/1.26 % (10481)------------------------------
% 7.35/1.28 % (10508)lrs+10_1:1024_drc=off:fde=none:gve=force:nm=4:norm_ineq=on:sas=z3:sos=all:sp=const_min:spb=non_intro:to=lpo:uwa=one_side_constant:i=691:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/691Mi)
% 7.35/1.31 % (10509)lrs+10_1:128_asg=cautious:drc=off:fde=none:gve=force:norm_ineq=on:sas=z3:sos=all:sp=reverse_arity:spb=intro:ss=axioms:to=lpo:uwa=one_side_constant:i=370:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/370Mi)
% 7.35/1.31 % (10466)Instruction limit reached!
% 7.35/1.31 % (10466)------------------------------
% 7.35/1.31 % (10466)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.35/1.31 % (10466)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.35/1.31 % (10466)Termination reason: Unknown
% 7.35/1.31 % (10466)Termination phase: Saturation
% 7.35/1.31
% 7.35/1.31 % (10466)Memory used [KB]: 2558
% 7.35/1.31 % (10466)Time elapsed: 0.718 s
% 7.35/1.31 % (10466)Instructions burned: 495 (million)
% 7.35/1.31 % (10466)------------------------------
% 7.35/1.31 % (10466)------------------------------
% 7.35/1.32 % (10486)Instruction limit reached!
% 7.35/1.32 % (10486)------------------------------
% 7.35/1.32 % (10486)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.35/1.32 % (10486)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.35/1.32 % (10486)Termination reason: Unknown
% 7.35/1.32 % (10486)Termination phase: Saturation
% 7.35/1.32
% 7.35/1.32 % (10486)Memory used [KB]: 2174
% 7.35/1.32 % (10486)Time elapsed: 0.610 s
% 7.35/1.32 % (10486)Instructions burned: 382 (million)
% 7.35/1.32 % (10486)------------------------------
% 7.35/1.32 % (10486)------------------------------
% 7.35/1.35 % (10485)Instruction limit reached!
% 7.35/1.35 % (10485)------------------------------
% 7.35/1.35 % (10485)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.35/1.35 % (10485)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.35/1.35 % (10485)Termination reason: Unknown
% 7.35/1.35 % (10485)Termination phase: Saturation
% 7.35/1.35
% 7.35/1.35 % (10485)Memory used [KB]: 3070
% 7.35/1.35 % (10485)Time elapsed: 0.654 s
% 7.35/1.35 % (10485)Instructions burned: 360 (million)
% 7.35/1.35 % (10485)------------------------------
% 7.35/1.35 % (10485)------------------------------
% 7.35/1.35 % (10510)dis+10_1:1_bd=off:fde=unused:gsp=on:ins=1:norm_ineq=on:sas=z3:sos=all:tha=off:i=361:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/361Mi)
% 7.35/1.36 % (10511)lrs+1011_1:1_bce=on:drc=off:erd=off:gve=force:ins=2:norm_ineq=on:sac=on:sp=frequency:tha=some:urr=on:i=3058:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/3058Mi)
% 7.35/1.38 % (10500)Instruction limit reached!
% 7.35/1.38 % (10500)------------------------------
% 7.35/1.38 % (10500)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.35/1.38 % (10500)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.35/1.38 % (10500)Termination reason: Unknown
% 7.35/1.38 % (10500)Termination phase: Saturation
% 7.35/1.38
% 7.35/1.38 % (10500)Memory used [KB]: 2174
% 7.35/1.38 % (10500)Time elapsed: 0.465 s
% 7.35/1.38 % (10500)Instructions burned: 238 (million)
% 7.35/1.38 % (10500)------------------------------
% 7.35/1.38 % (10500)------------------------------
% 8.17/1.39 % (10512)lrs+1010_5:1_norm_ineq=on:sas=z3:sos=all:ss=axioms:tha=off:i=1198:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/1198Mi)
% 8.17/1.39 % (10513)lrs+11_1:1_avsq=on:avsql=on:avsqr=1,16:norm_ineq=on:nwc=10.0:plsq=on:sas=z3:tha=off:urr=on:i=2501:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/2501Mi)
% 8.43/1.42 % (10494)Instruction limit reached!
% 8.43/1.42 % (10494)------------------------------
% 8.43/1.42 % (10494)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.43/1.42 % (10494)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.43/1.42 % (10494)Termination reason: Unknown
% 8.43/1.42 % (10494)Termination phase: Saturation
% 8.43/1.42
% 8.43/1.43 % (10494)Memory used [KB]: 4605
% 8.43/1.43 % (10494)Time elapsed: 0.589 s
% 8.43/1.43 % (10494)Instructions burned: 331 (million)
% 8.43/1.43 % (10494)------------------------------
% 8.43/1.43 % (10494)------------------------------
% 8.43/1.43 % (10465)Instruction limit reached!
% 8.43/1.43 % (10465)------------------------------
% 8.43/1.43 % (10465)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.43/1.43 % (10465)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.43/1.43 % (10465)Termination reason: Unknown
% 8.43/1.43 % (10465)Termination phase: Saturation
% 8.43/1.43
% 8.43/1.43 % (10465)Memory used [KB]: 8571
% 8.43/1.43 % (10465)Time elapsed: 0.860 s
% 8.43/1.43 % (10465)Instructions burned: 464 (million)
% 8.43/1.43 % (10465)------------------------------
% 8.43/1.43 % (10465)------------------------------
% 8.43/1.43 % (10482)Instruction limit reached!
% 8.43/1.43 % (10482)------------------------------
% 8.43/1.43 % (10482)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.43/1.43 % (10482)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.43/1.43 % (10482)Termination reason: Unknown
% 8.43/1.43 % (10482)Termination phase: Saturation
% 8.43/1.43
% 8.43/1.43 % (10482)Memory used [KB]: 12025
% 8.43/1.43 % (10482)Time elapsed: 0.209 s
% 8.43/1.43 % (10482)Instructions burned: 502 (million)
% 8.43/1.43 % (10482)------------------------------
% 8.43/1.43 % (10482)------------------------------
% 8.43/1.45 % (10515)dis+1011_1:1_bd=preordered:sd=2:sos=all:ss=axioms:i=217:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/217Mi)
% 8.43/1.45 % (10514)lrs+10_1:1_av=off:fde=none:lwlo=on:nwc=10.0:i=256:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/256Mi)
% 8.43/1.48 % (10516)ott+11_1:1_aac=none:amm=off:bd=off:fsr=off:sas=z3:sos=all:sp=const_frequency:tha=off:i=1168:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/1168Mi)
% 9.02/1.52 % (10517)dis+10_1:1_sgt=16:sos=on:spb=goal:ss=axioms:i=1006:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/1006Mi)
% 9.02/1.53 % (10512)Refutation not found, incomplete strategy% (10512)------------------------------
% 9.02/1.53 % (10512)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.02/1.53 % (10512)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.02/1.53 % (10512)Termination reason: Refutation not found, incomplete strategy
% 9.02/1.53
% 9.02/1.53 % (10512)Memory used [KB]: 1023
% 9.02/1.53 % (10512)Time elapsed: 0.247 s
% 9.02/1.53 % (10512)Instructions burned: 106 (million)
% 9.02/1.53 % (10512)------------------------------
% 9.02/1.53 % (10512)------------------------------
% 9.02/1.56 % (10518)dis+1004_1:3_av=off:bs=on:plsq=on:i=4966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/4966Mi)
% 9.02/1.57 % (10519)ott+10_18762:894869_awrs=decay:awrsf=8:bsd=on:drc=off:fsr=off:irw=on:newcnf=on:slsq=on:slsqc=1:slsqr=76,61:i=4835:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/4835Mi)
% 9.02/1.57 % (10520)ott+0_1:128_afr=on:amm=sco:anc=none:awrs=converge:awrsf=110:bsd=on:cond=fast:etr=on:fde=unused:flr=on:fsd=on:gve=force:irw=on:norm_ineq=on:sas=z3:sos=all:spb=units:tha=off:thi=strong:to=lpo:uwa=one_side_interpreted:i=3932:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/3932Mi)
% 9.51/1.64 % (10490)Instruction limit reached!
% 9.51/1.64 % (10490)------------------------------
% 9.51/1.64 % (10490)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.51/1.64 % (10490)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.51/1.64 % (10490)Termination reason: Unknown
% 9.51/1.64 % (10490)Termination phase: Saturation
% 9.51/1.64
% 9.51/1.64 % (10490)Memory used [KB]: 9338
% 9.51/1.64 % (10490)Time elapsed: 0.810 s
% 9.51/1.64 % (10490)Instructions burned: 501 (million)
% 9.51/1.64 % (10490)------------------------------
% 9.51/1.64 % (10490)------------------------------
% 9.51/1.66 % (10521)lrs+1011_1:6_aac=none:afr=on:bce=on:bsr=unit_only:canc=cautious:cond=fast:fde=unused:newcnf=on:nwc=3.0:s2a=on:s2agt=40:sas=z3:sfv=off:sp=weighted_frequency:spb=units:tha=off:to=lpo:i=1742:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/1742Mi)
% 10.32/1.79 % (10515)Instruction limit reached!
% 10.32/1.79 % (10515)------------------------------
% 10.32/1.79 % (10515)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.32/1.79 % (10515)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.32/1.79 % (10515)Termination reason: Unknown
% 10.32/1.79 % (10515)Termination phase: Saturation
% 10.32/1.79
% 10.32/1.79 % (10515)Memory used [KB]: 6268
% 10.32/1.79 % (10515)Time elapsed: 0.441 s
% 10.32/1.79 % (10515)Instructions burned: 217 (million)
% 10.32/1.79 % (10515)------------------------------
% 10.32/1.79 % (10515)------------------------------
% 10.32/1.80 % (10522)dis+1011_1:1_abs=on:bd=off:flr=on:nm=0:s2at=3.0:sas=z3:sfv=off:slsq=on:slsqc=2:slsqr=46,31:sp=const_frequency:tgt=ground:tha=some:thi=overlap:thitd=on:thsq=on:thsqc=32:thsqd=32:thsqr=7,4:i=3843:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/3843Mi)
% 10.96/1.82 % (10502)Instruction limit reached!
% 10.96/1.82 % (10502)------------------------------
% 10.96/1.82 % (10502)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.96/1.82 % (10502)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.96/1.82 % (10502)Termination reason: Unknown
% 10.96/1.82 % (10502)Termination phase: Saturation
% 10.96/1.82
% 10.96/1.82 % (10502)Memory used [KB]: 4349
% 10.96/1.82 % (10502)Time elapsed: 0.840 s
% 10.96/1.82 % (10502)Instructions burned: 485 (million)
% 10.96/1.82 % (10502)------------------------------
% 10.96/1.82 % (10502)------------------------------
% 10.96/1.82 % (10510)Instruction limit reached!
% 10.96/1.82 % (10510)------------------------------
% 10.96/1.82 % (10510)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.96/1.82 % (10510)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.96/1.82 % (10510)Termination reason: Unknown
% 10.96/1.82 % (10510)Termination phase: Saturation
% 10.96/1.82
% 10.96/1.82 % (10510)Memory used [KB]: 2174
% 10.96/1.82 % (10510)Time elapsed: 0.587 s
% 10.96/1.82 % (10510)Instructions burned: 363 (million)
% 10.96/1.82 % (10510)------------------------------
% 10.96/1.82 % (10510)------------------------------
% 10.96/1.86 % (10509)Instruction limit reached!
% 10.96/1.86 % (10509)------------------------------
% 10.96/1.86 % (10509)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.96/1.86 % (10509)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.96/1.86 % (10509)Termination reason: Unknown
% 10.96/1.86 % (10509)Termination phase: Saturation
% 10.96/1.86
% 10.96/1.86 % (10509)Memory used [KB]: 4349
% 10.96/1.86 % (10509)Time elapsed: 0.673 s
% 10.96/1.86 % (10509)Instructions burned: 371 (million)
% 10.96/1.86 % (10509)------------------------------
% 10.96/1.86 % (10509)------------------------------
% 10.96/1.88 % (10514)Refutation not found, non-redundant clauses discarded% (10514)------------------------------
% 10.96/1.88 % (10514)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.96/1.88 % (10514)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.96/1.88 % (10514)Termination reason: Refutation not found, non-redundant clauses discarded
% 10.96/1.88
% 10.96/1.88 % (10514)Memory used [KB]: 2942
% 10.96/1.88 % (10514)Time elapsed: 0.540 s
% 10.96/1.88 % (10514)Instructions burned: 253 (million)
% 10.96/1.88 % (10514)------------------------------
% 10.96/1.88 % (10514)------------------------------
% 12.25/1.92 % (10523)dis+1010_137062:920759_aac=none:abs=on:amm=sco:anc=none:asg=cautious:atotf=0.5:avsq=on:avsqc=2:avsqr=383,440:bce=on:bsd=on:erd=off:fde=unused:gs=on:gve=cautious:newcnf=on:nwc=3.3:sac=on:sas=z3:sfv=off:skr=on:spb=goal:tgt=ground:thsq=on:thsqc=128:thsql=off:uwa=all:i=947:si=on:rawr=on:rtra=on_0 on theBenchmark for (2985ds/947Mi)
% 12.25/1.95 % (10524)dis+10_1:14_awrs=converge:sp=unary_first:tgt=ground:i=3622:si=on:rawr=on:rtra=on_0 on theBenchmark for (2985ds/3622Mi)
% 12.25/1.96 % (10525)lrs+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=4725:si=on:rawr=on:rtra=on_0 on theBenchmark for (2985ds/4725Mi)
% 12.25/1.98 % (10501)Instruction limit reached!
% 12.25/1.98 % (10501)------------------------------
% 12.25/1.98 % (10501)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.25/1.98 % (10501)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.25/1.98 % (10501)Termination reason: Unknown
% 12.25/1.98 % (10501)Termination phase: Saturation
% 12.25/1.98
% 12.25/1.98 % (10501)Memory used [KB]: 3837
% 12.25/1.98 % (10501)Time elapsed: 1.041 s
% 12.25/1.98 % (10501)Instructions burned: 658 (million)
% 12.25/1.98 % (10501)------------------------------
% 12.25/1.98 % (10501)------------------------------
% 13.06/2.01 % (10526)dis+31_1:1_lcm=reverse:norm_ineq=on:nwc=10.0:sas=z3:tha=off:urr=on:i=1518:si=on:rawr=on:rtra=on_0 on theBenchmark for (2984ds/1518Mi)
% 13.20/2.01 % (10527)lrs+11_1:1_avsq=on:avsql=on:avsqr=1,16:norm_ineq=on:nwc=10.0:plsq=on:sas=z3:tha=off:urr=on:i=2661:si=on:rawr=on:rtra=on_0 on theBenchmark for (2984ds/2661Mi)
% 13.20/2.05 % (10505)Instruction limit reached!
% 13.20/2.05 % (10505)------------------------------
% 13.20/2.05 % (10505)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 13.20/2.05 % (10505)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 13.20/2.05 % (10505)Termination reason: Unknown
% 13.20/2.05 % (10505)Termination phase: Saturation
% 13.20/2.05
% 13.20/2.05 % (10505)Memory used [KB]: 12409
% 13.20/2.05 % (10505)Time elapsed: 0.240 s
% 13.20/2.05 % (10505)Instructions burned: 593 (million)
% 13.20/2.05 % (10505)------------------------------
% 13.20/2.05 % (10505)------------------------------
% 13.85/2.11 % (10528)ott+11_2:1_add=large:afp=4000:newcnf=on:sd=1:sos=on:sp=const_min:ss=axioms:i=1324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2983ds/1324Mi)
% 13.85/2.11 % (10528)Refutation not found, incomplete strategy% (10528)------------------------------
% 13.85/2.11 % (10528)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 13.85/2.11 % (10528)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 13.85/2.11 % (10528)Termination reason: Refutation not found, incomplete strategy
% 13.85/2.11
% 13.85/2.11 % (10528)Memory used [KB]: 5500
% 13.85/2.11 % (10528)Time elapsed: 0.097 s
% 13.85/2.11 % (10528)Instructions burned: 2 (million)
% 13.85/2.11 % (10528)------------------------------
% 13.85/2.11 % (10528)------------------------------
% 13.85/2.18 % (10529)ott+11_1:1_aac=none:amm=off:bd=off:fsr=off:sas=z3:sos=all:sp=const_frequency:tha=off:i=1168:si=on:rawr=on:rtra=on_0 on theBenchmark for (2982ds/1168Mi)
% 14.54/2.27 % (10530)dis+1004_1:3_av=off:bs=on:plsq=on:i=11321:si=on:rawr=on:rtra=on_0 on theBenchmark for (2982ds/11321Mi)
% 15.50/2.35 % (10488)Instruction limit reached!
% 15.50/2.35 % (10488)------------------------------
% 15.50/2.35 % (10488)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 15.50/2.35 % (10488)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 15.50/2.35 % (10488)Termination reason: Unknown
% 15.50/2.35 % (10488)Termination phase: Saturation
% 15.50/2.35
% 15.50/2.35 % (10488)Memory used [KB]: 12153
% 15.50/2.35 % (10488)Time elapsed: 1.596 s
% 15.50/2.35 % (10488)Instructions burned: 1008 (million)
% 15.50/2.35 % (10488)------------------------------
% 15.50/2.35 % (10488)------------------------------
% 15.50/2.35 % (10508)Instruction limit reached!
% 15.50/2.35 % (10508)------------------------------
% 15.50/2.35 % (10508)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 15.50/2.35 % (10508)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 15.50/2.35 % (10508)Termination reason: Unknown
% 15.50/2.35 % (10508)Termination phase: Saturation
% 15.50/2.35
% 15.50/2.35 % (10508)Memory used [KB]: 7419
% 15.50/2.35 % (10508)Time elapsed: 1.167 s
% 15.50/2.35 % (10508)Instructions burned: 693 (million)
% 15.50/2.35 % (10508)------------------------------
% 15.50/2.35 % (10508)------------------------------
% 16.35/2.43 % (10504)First to succeed.
% 16.35/2.48 % (10532)lrs+10_3:1_abs=on:ep=RST:newcnf=on:nm=2:sas=z3:sd=1:sos=all:ss=included:to=lpo:i=31695:si=on:rawr=on:rtra=on_0 on theBenchmark for (2979ds/31695Mi)
% 16.35/2.49 % (10531)lrs+10_1:1_av=off:sd=10:sos=all:ss=axioms:st=4.0:i=12082:si=on:rawr=on:rtra=on_0 on theBenchmark for (2979ds/12082Mi)
% 17.03/2.51 % (10504)Refutation found. Thanks to Tanya!
% 17.03/2.51 % SZS status Theorem for theBenchmark
% 17.03/2.51 % SZS output start Proof for theBenchmark
% See solution above
% 17.03/2.53 % (10504)------------------------------
% 17.03/2.53 % (10504)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 17.03/2.53 % (10504)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 17.03/2.53 % (10504)Termination reason: Refutation
% 17.03/2.53
% 17.03/2.53 % (10504)Memory used [KB]: 4221
% 17.03/2.53 % (10504)Time elapsed: 1.386 s
% 17.03/2.53 % (10504)Instructions burned: 971 (million)
% 17.03/2.53 % (10504)------------------------------
% 17.03/2.53 % (10504)------------------------------
% 17.03/2.53 % (10425)Success in time 2.182 s
%------------------------------------------------------------------------------